babaaaccaababcbbccacbcacababaccaabbcbacacabbacabbacbabaaabacaacbccbcbbbaabbcbcacabcbbcabcbcbcabbabacaabbcabccabbcaabcbabcacabaaabbcaccbaacacbbbcabcabcabbbacccaaacaacbbbcbbccbacbbcbccccacccbcaabaaababcaccbbaabbbcaccccbcbbcbabcbaabbbccbabababaaaaabbccbaaccaaabcaaccbcbcaabcbcacbbabbabcaccbbabbbcbbbcccacbcbbbbbabbacaabbcbbaaabbbccacacbbcbcabbbbabbbbabbcbacabacccccbbabcbccabcababbcbcccbcbccbaccccbabccbccbaccbcacccaabbaaccccbccaaaaabbaabacbcbcbaabacbbcaaabcbaabccbacbacccbbabbccccbbbcacbcbbcccaccbbcbaaaccbbaaacaccacaaccaccaacbbcaabbcbccabaccacbacccbbabcccaabbaaabaaacbcbcbbaabbaacbbbccccaaaabbcbaaacaacbaccbbbaccaaccccbcbbcacacbacaabcbbacabbacabbaaccaacaabaaaaaaababcbaabbcacabaabcacbcbacbabccaacbabacabbbaabcabbacbccbbaacbaccbbacbabccababacacbaaabccabbcbacacabbcaaccbccbabcaabababbcaacaabcccacccaabacaabacbacbaacbacacaccacbbbabaaccbaacabaaaaaaabaaccababcbbcbcbbcabcabcabcbcabcabbbbcccacbbbbaaaaacccabbcbcacbcbccbcccacaaaabbcbbccabbbcbcbbabbbbbbacabaabaacbabacaabccbacccbbcacbccbcabbaaabcaabaccaababcbccbcccccbcacbacbabacaaabbcbacabbbbcbbaabbaaabbbbababcbabacacaccaacababbcaababccaaacabaaabbccccbccbbcbaacabbccbbabcaacccaacabccbabbacbccbbbcbacccccaaaaacacbbccccaaacbabccbabcbaaabbbbcbbcabcbbccacccacccabbbccaccabbbbaacbacbababbcbbcaccbccaccaabacabaacbbccbbccccaccccbbbbbcababbbbcccccbaacbbaacbbcbabbcaaaacbcbcccbaacbabbcbabaaccacaacacaaccbbacabcccbabbbacbaabbcbabbccccaabbbbccbbacabbbcaabbbbccabbbaaccabababcccbbbcbabbcccccabacbcaaacbcbaacabaabbbabbbccabcbbacbbbaccccbcaccbcbaababcbcaaabbccbbccbbccbbbabbaabccbbccccabaccacaaabbacbabbccbcaccccabbcabcccabbbaababcabcaabbcabacabbbabcccaabcbcbabbbacccbcbbabbcabaccbbbbbcccaabbbccbaaacbcccbabbaabccbcccbaababbcccccabcccbcacabcaacbbaacababbaccbbcabbbccbabbacacbababaaabcaaabaacacbbbcbabcccaacbbbabbccabbaaabbcacccbcbcbcacccccaccbaccbccacabbcaccacababacbbbcbcbacabacababcaacacaaaaaaccbbcbaccbcabcacabbaaabbacbbbcbbbcbabbbbbbacabccbbbbccacccccaaaaabcabbbcbaabbbaccbbbbcbcacbcbbbcaccccbbabbcbcacaaaacabbbaaaacabacacbbbabcbabbccacaabccaabbbcbacbcbaabbbacacbcbcabaacbabbbbaaccacabbbcabbcaacbbacabbcbcbcacabaaaabacbbbabbabaababbcbabbbcaaacbbbacbbaacbbabcbaaacbbbabcbaabcccccabbbbcccbacbbbaacbccabcccbccbabbabcaccaaaacbccbbaababaabccabcabacccccabcaabccaccccaabcbbcbaacaccbaaaacaabcaaaababacaacbccaaaccacbbaccbccbabcbaaccacbababbcabbcacbabbccbcaaccaaccaabccbaacbccbcccccbaaacaacccaccccbbcbccbacbbbcbbbcbaacabbacacababcbbcbcbbabababbbcbcabbbccbaacbcacbabbbbabbbccababccbacbcccabababcaabacbcbbcbbacaccabbcabacaaccaacabaaababbbbbbababaaaabbccabaaaabbaaabcbcbcbaabccbaccbacaccacbaccccbcbabaaccbccbcaccbcaccaccbbacbabacacbcaaaabaaaabcccacbaabbbabbbbcabbcacbaccabaabbbacaabaacbcaacbaaaabbabcabbbacaaabacbccccbabacaabaaaacbabbcbcabacbbccababbbacbbbbbaacabbabcbabbbabcccbccacccacbbcabaabbbcbabcbacacbccaccccbbccbbaabaabacbbbaabbaabbcaccaaaaacbacccbacbacaacbcbbccbacabaabbbabbacaaacabaabcbcbcacabbbccbbcabbaccccbbcccccbbaabacabcbbccccaabccbaababaaabbcbccaacbcccbbaacabaccbbbacaaacbabbbbccaccbcaaaabacaabccbabbcbbcbbbaabcaaaccbbbbbabccbaabccbacbccaabababcbcbcaccbcaaabcabbbabbccbbabaaccccabbaabbcbaccaabcacccbbccbcbbbcbcccbaabbcbccccccccbbcaabaacaccbcabacbacacccbaacabacacaacbbacbacbcbabcaaabaaccbacabaccbbbccbcababbaacbbbbabaccccbbaccbbcbaabccccaaacccbabcbccbcccabbacbcaaabbbcabbacacabcaccaccbacacabbcaabbbbccabcacbaabcacbaacccaaaaacabbbabbcbcaacbbbaaaacbbcbcaaabbabbcccbcacaaaabbcccbbcbcaaabcaacbcbbacbaacacbaabcbabaaacaabccaabbccabcccbaaccbaabacababbbcacabaabaacaabbccbcabcabbbcbcbbabbccbbccabbcacacbbbcacacabaabbcaacaabcacabbacbabccabcbcabcabbababccabacbcbaabccbbbcccabbcabbbacaacccccbbcccaaabcbbcbbcccbaabbbbcbbaacbaaabccabcbaaaacabbaaababbccaccbbbabbababbbaacabbabcbacbcccbacacaaacabbacbbcbbbbccbaaacbacbacaccbabbcbbbabcbcaaaabbacaacbbccbbbcaabbbbcabbcacabacccaababbcbcbcbcbbbcbabccbcbacaaaabccbbccbcccbcbbbbbabbbcbbbababbccccbbcaabaccaaccaccababbaacbabbcacabaabacbabaabbaabcabacabcaacacacbaabbacccaabbcaaaaacbabbcbbbccababbcbcbcbbaabacbcbcccacbaaacabccbacccaccacacabcaaaababaaacabaabcaacccbcbbcaabbbbcbcbababcacbabacbacaaaaacabbababccaabccbabbacaabccaaccabcccabacbacacaabacbbcbcbcbccccabbbaacbbaccacccccccabacbbaabacbbbcaccababcbacaaabaaabbbcaaaacbabccacbccccbcbbaccbbcccacccacabbccbbcaaccacbabbabacbbbacccccbaabbacacabbabccbacacaaaabacabbbcacccabbabcbcabaabcbbacabbaabbacabcacabbcacbccaccabcbcaaaccbacbcacababcccaacaccbbaaabbacbcbbcbbacabacccacbaabcaabcbbbbbabccababbabababbbbabccaccacbacacbcabbbabaacabaaaaabcbbaaaaccabcbcbcbabaabcabbbccaccbccacaaaabcccbaaacbaabacccabbacbaccabaaccccabbbcbbbacbbcbbcbbabcaabbaaccacbacaccabcaabbbacaabbcbccbbaaabcacbcaccaccbbcacaabbabababcacaabcbababbabcbcaaaabbbacbabbaacccbcabaaccacccaabacbcbcacabbccbcccbcbbccacbcabaacabccaabcbababbaccaccaaccccbccbaacabccaabababacbbcabbbacbcbcbcbcbcbaabacbcaaaaabbcaabccbabaccbbccbcbaaaccccacbbaccbbbbacccabbaccccacbacabbcbabaabacccbcacbcaacaccbbbabaacbcbaaaaacabbbcaacccabccaacbaccbbbcaccabccbcbbabcccababccaabbccabaacaccaaacacbbbbbacababbbbaaabaaccaacaccabcabbccaabacbbbbbbabcbcaaccbbabaccbabbccccccbaaaabacccacbcbbabbbacaabccccbccbcaaababcabcabbcbaabacabbbbbabaabbcacacbbabacccbababcbbaccbaababcaacacbcccbbaccababaabacbcacccabccabacabccccacacabbcccbacbacbbbbaaccaabbcbaacaabacbacccbcccacaacbbacccbabaccabbacabbacaabbcbbbabbcaacaaabacbcbbbcaaaacbaabcbccccbaacabaccccaaabcaaaaacbacaaababbcbbbbcaabaaabbcbbcacaccbcbbaacbccacabcaccbaaaaaccbbabbbacbabccabaacbccaaaccaccbbccaaabbaacbaabacbacacbcbcaccaaabccbccbccbcabacababbacccabacbbaaccacacbbaabbcbbacccabbacbccaacccacccacbbbbbbcccabbcbcbaabbccbbbaabccacccbbacabaccccacabbbbbbbbabcabccccccbcbaaccababbaabcaababbacbbccbbaaccabbaaccbcbbaacbccbbcaacbccbabcaabcaaccabbcccabaaabcaaaaababcaabcabbcabcabbaabbacbbbbccbabacbbcaaacbabcbaacbacccbbbabcbcabbbabbbccccbaccaccccbbcabaacabaabbaccaabcccbcabcaccaaabbcbabacbcbaaaabacacccacabccbbbcbcbbaccccacaccabacccbcaabcbaaccbacbacbbbabcacaacccccccabcccccacbccbcabbbbbccabbcababaaaccccbaacabbbaaacbcaccaabcbcabccaababbabbabbbcabbacbccbaccccbbbaabaccbaacbcacaacabcbaabcacaabbbcacabcacccabcccccabcbacbaabaabaacbbbaabcabcbbccbbacbbaaabccacabcbabbbccbcbacbccbccaabababcbacaabbbbaacbaabcccbbabbbbbbcbabbaaaccacacabcabbcbcccabbcaaabccbababccccacacbcbbabaaccbcbbbbaaacbaaacbbcabaccabcbbcacbabbccbbaacbcbcbbcbacacbcbcbbbabbccccbcaabbbbacccbbaccbcacbbaacaccabcaaaacacaabbaabaabcbabcacabbbbbaaccbbcbbcbbbaaccaaaabcccbbabcaccabccbbaabcbccbcbccacbcaababbbccbcbbbacbccaaccccbbbaaccbabaabaaccbbcabacaaabacbababbacccbbbcbacabababbcacbcabbccccbaccbccbbccbcabaabcaccccabbcaabacbcbaccaaabaaaaabababbbbacaacccbbabbcbbabccacacbbaacbcacabbcacbaacbabbacaaaacaabcacbbbacbaccbaaccbcbbcccbbacbacccacbaccbbcbcacbbbbcacccbacacbbabacacbbcaabbbabbbabaaacccabcbbcabbccbbccaccaccbcacabcccbcacaabbbbabaaccabacbcaaabcbcbaaabccccabacbbaccaacabcaabbacccbcaaabbbacabacaabcaccccaaccbcabbbaabccabaccbabbccabbaccbacabacbcbbbcbbbcaabcaccaccacacbccccbbaabcaacaacbccabcaacaaabbcbbabcabcbaabcaacabbabcbaccbccaababcaacbbcccbcaaacccbbbabbaabccbccaccacacabccbccbcacaabbcbacbbbbcabbcccaaccbaaccbcabaaccabcccbcbabbcacccaabcbbccabbccbacbcbabaaacbaacbbacbbcaccbccaacacbbccbbcacbcabaaabacbcbacacbaacbcacabbcbccbbaababcccbcabaaacacabacccbabaaaabbbcaaaaabbcbbbbacacbbbcaaabcaaacaabaabcccccbccabaabaabcabcbbacbcbbccbbbcccabaaabaaccccabaccbaababcbcaabcbcbcacacccaabbccbbbabcaabbbbbccbabccaaccacbacbccaacabaaacaabcbabaaccbacabababaaaaacabbbbabccbacbacbaaccbcaacacaccbccaaabccaaaaabcabbbbbcaabbbccbaaabcbacccbabacbbcbacaccbcbabbcbbaabcccaacbccbbcaacbbbaccccbaaacbbbcbbaacbbbacbccbcbcacbbcbbacaaabcccbaaaabcbcbbabccaacacccbcccbbacaaccbbcabbcbabaabbaabbacaaabcacaababababaaaaaacaaccbaccaabccbbabaacaccccbaaaabcaaaaccabacabbabbcacaaacaccbaccccbcbccbcbbcaaaaabaacaabaacabaabccaccababccaaaabcacaaccbccbcaacbcacabcbbbaaaabacbbbbcbacaacbbccabbbbbaaacbcacbacabbbaccbaaabcbaaaacacbcbcbacccbcbcaaaaaacbaacccabcccaccaccbccabbcabbacacaaaabbaacbcaacbbacaacacbcbbabaabbcbcccbbaabccbbcbccccbabcaabbbaababccaaaccbbabbabaccbcaabbccbaababaacbacbacababcbbaacaacbaacccbcacbbcbcacbacbbbbcccbbabccccbaacaaaaaaccbbccbcccabacabcabcacabbbbbacabcacccacbbccaaacccccaaacaabbcccabbbbbbaaacabcacaccaacbcaabaacbbaacaabbaabcbbbcbbabbaabcacaaaabbcaccabacbaccaacbcabbbbcabbababbbababcabcbccccbbccbbbaaabbcabbcabcbacccbcbbaaacabccbaaccbaccbbbcabbacaacaabaababcbcbbaaaaabccacbbcbbbbcabbacbcacccacaabbcbcabaaacbbbaaaccacbabaabccbcacccaaabbcbcbbcbcbcccaabbbbbaccbacccabacbacccbabbaabbbaabaababacaaacbbaaaaabbcbcbbccccbcbbbbaccbbbcabcacaaaabaacbbabaababbaabcaabbbaaccaacbbbaaabcabcbbbccabbccaaaacaccabaccbaabbabcbbcccacbbabaaccabcababcaaacacaccaacbabcbbbbbacabcacabcaacbaaabababaccbbabcccabcbcacacbbccbbaabbaaababaaccacacbbaacbcaacaabbaccacbcbbcbcbbaaaccbcbbaccbabccbbcabbccbbaccbbaacabbbccbbcbababbbbaaacabacacababbcabcabccaccccaccabaacbcccabcbbbaccaaabcabcccaabccbbaaccbbbcbbbbbcacccaacaccbbababacacbaacccbbcbcabbbbcbcbaaabbcbaabaacbabcacbbccaacbacacababbcbacccabccbcabcbbbbabbbcbacababccbbbbbacaabbccaabbbcbcacbccaacbccabbabcbccbcccacbbbbbaacabbcbcacbbbcabcabcbbbacaacbacccccbacacaacbcbabcaabbccbcababbababacaccccbcacbbaacaaacbaaaabccaaacccabcbcbbcaccbccacabcaabccbacabbbcabbccaaabbcccabaabbbacccbbabaabcbbaaccabaabccbbccbcabaabcabaccbacbcbabaabaaaaaaccbcbccccbbbaaaacbccaccbaaacccccbabacababbcabbbcbabcacbbbcacbbabbccacbacbaacabacbcbccbabcbbccacbacbacbbccbaacbcabbcaabbacabbaaccacabbbbbbcbccababcaacbaabccaaacbbbbbbcbacaaaabaacbaaacabbcccccbacbaaacacccbcabaacbaacbaacaacbabbbccbabbcbcccbbcbccaacbaccabbccbbccbabcbbcaaacbbbbbbaccacbbbaaccbaacbccccbabccaacccbbcabbbcbccbcbaccccaaacabacaccabccaaabbaaababbccaabacbcaccbcbacbccccabccacacccbbaccbbbacacababacaacbabcaabbccabacbbccccbcacccbbcbbbaccbcbaaacccaaabbcabacaaaaacbcaacaacabbaacccabbccccbaacbcbbacaaccabaaabaaaabbaabbbcbccbacbcabacacbbaacabbbabaccccbcbabbacaacbacabbacccbbbacacbbbbbbccbbabcccccabbbbbccacbabacbcccacaccbabacbacacccccccbcbbcbabbbcacacaaccbbcccaabbccabaaaaaccbcaabcabcbcabcacabbabbbbababacccccababcbcacbbccbabbbccbcbcbaccccabacccacaccabbcacacbbabaababbaccababbacacabcababbbacbbbaacbbcbbcccaccaabaaabbbcbbaccbccbbcabaabcabbabcbccaacaaaaaababaccccbcacaabaabbbaabbaaccccbcaabcbbccbcaccbaabacacccccaaaabbaaaccbabbbbacacaacacaaccbcbbccbcabaccaaaccaccacbcaccbbacabccbababccbcacbbbbccbbccbabbcccbaaaacacbabbcaaabcbcbacaabcbbacacbcccbaccbbbaabaaaaaaaaacaaccbbcaccbccabbbacccbccbabccbabacacabcbabbcbbcaccbbcbccccabaaacbbaacbabacbcaacabaababaaabbbabcaacbccbbccaccccacbacabccaababcaaabbcacccbacabcbcbcbacaaabbbaababccaaabcccbaaaaaaabcbabbabcbbabbcbcbbcbacbcbcaaacbbcacaabccbaaabaacbbbccbaccbcbcccbccbccbcccacbbbbaabbcaabacbbbaabaaacabbcbcabaccacbbbbcbbcacbbbbababcbccccaaaabcbbcccabccabcabcacbcbbbaacbacabbacbbcacbaccbcaaaabbaabaababccaabacabbabacbbcccccabaacaccbaabcbaabacbababcccabcbaccbabaccaacabccbbbccbbcacacbcabcbacabbabbcbacbabcccaacbcaaccccbcaababaacbbaacbaacaaaaccaaacbccbbcaccacacbcacacbbbabbabacaacbcabaabcccbcaacccbbacbbcccacbcbcaaaaabaccabababcbbaaccbabacaaaccaccaaccacaaccccabaccbcaccbababbabcacbccaacbaabaacabbcbbcbcabaaacaaacbcabccabacacccbabccaacbbacabbcbbbabbbbcbabcabcaccbbbcccaaabbbcccccbbcacacccacaabbccbbbbaabaaccabbaccbbccbbbbcbacccccccbabacbcbccabaabcbcbccacabcccacbaacbacccbcbabcacbcbaabaccbabcbabcbacbbccbacaacccaccccabbbaabcbccbbcbbcabbcccbbcaacbbcaccaaacbbcaccabcacbacbcbccbbcccccccabbcccabaacbbcaaccccbabbabbcbcbcbaabcbaccacaaaacaacbcabcccacacbcbcbabccbbabaacbaacbacabccbcbbcbbaccbaacccccacccabbbbacacacaaccbccabaabbbcccaaaaccabaacababbbcacbccabaaccbccbbabbcabacccaacabcbcbaabaabcccaabcbbacacbaabccaaacbbcccaacacbacaabccacabaababacaabccccaaaccbbbbacaabcabcccacbccccacbcccbbbbaabcbbbcbbabcbcbcbbaccabcabcbabacacaaaaacacbbcbaaabccccabaaccaacccbaabcacaabcabacaabbbcabbabccabbccbaaacacbbbcccabababacabcbcaacacaacaaabcccabccaabcbbbccabbbcaccababbbccacaccbaacacccaaccaacacbbbbcaacccaccbbccaabababcccabcbabbbcbbcbccccbbcccaaababbbbacbbbbbbacbbbbbbaaaaabbccaacacbbcaaacacacccabbccacaacacbccbbaabbcabbacaabaaaacbbcbbaaaabcbcaabcbccabccbbbababcbbaabcababcbcacacccbaaaacaabcaccbaccccaccbabccbcbabcbcbbaaaabababaaccbcaacccbbccbacaabbbbcacaacccaccabacccccbbacbacccbbabcaabbacaacababaacabaaabbacabbcaacacacbacabacabcccbbbaabcbccbccbcaaacbbaabbaacacbbbaacacbbcaccaaacccacabcbacbbcccccaccaaabcbccbbcccbcbacaabcbbbabccbaccacbbccccaacbaaaccbccaaccaacaacbbcaaaaacaabcbccbcabbbcbbabaacbbabcabbbacbbbbbacbbcabccabccbbcaaccabcbaccabcbbcabaabbbbccaaababccabcbccbccababbcabccaaaabaacaacccaacbcbbabccbbccbbbacbbcbcbbacacabaabcaabccbaccbcabbbaacbabbcaaccbbacacacbacaaaacbcccccbbabbbcaaacabbccccbbbaabaccacccbabcaacabcccbbacbaaacaabaaaababaabbbccccbbbabbbacabacabbbabbcaabaaccbbcbccabacaacaaabacbaacacbaacacbacacccbbbababcacccbcbacabbaacaabbbacbcbcbaabbcaacbbabbcacccbccbbacaacacacbbabbcabcbbbbacacbcbabcbaabcacabbbbbbbbcbacccccccaaaccbbcacbbacccaabbccccbacbbbbccbcaaaccccbbcacbcaccaacacbbaabbaacabbccccbcbacabababbbbbccbcabbaacbbacacbbacbacbbcbaaaccbbaacbccbbcbbbcbbcabccabccabaacbcbabcaaacbaacaaaccaababacaaaabcaaabcbacaabbbccbcacbbabccaacabaccbbbcbbbaacccaaccbacbbccbabbabacbabbaaaaaccccbbbbaacbbcbcccbccaaaacbacccbbabccaabbaabbababaacabacacabcbccbabbbccabacbcabacbbaccaccbbabaacababaaaccaccaaabbbcabcbabbbcaaaacbcbbacbababccaabacbabccbacaabccbcaabababcaacccaabaabaccabcccbaccbbcacababcacbacacacbcbbacacaaccacbcaacbbcccacccccbacbcacaccbcbcbbbccccacbbaaabbccaaacbabacaabcbaabacaaabcbbbbbcacbbacacbacbcbbcaaabcccacabacbcbcbabcaaaaccbcababbbcaaccabbaccaccbbaccbcbbacccacabcbabcbabcabaaabcbcabcabbabbacccbcccbabbaccbbabbbbbccabbcaaccbbbabababbccacbbbccacaababcbababbaaccabcbaaaaaabcbccbaacacacbaccaccacbcccbcbcaccbbabaacccabacbbcabcaacaabcbcbbabacaaacacbabccbcacaabaccbbbbbcaaccbbcbabbcccacbcbccbabcbabccaabbacccccbcbbcacbcaabbcaaaacaaabbcaabbabbabccaaabcabacccbcbabbcbcaabbbbaabbbccbaaacbcccbbcbbbbcabcbabcaaccacbbababbbcbabbccbbcccbaaababaacbbaaacbabbbaaccacacacccbbbbaaaacbcacccababcbababaacabbaaaccbaacbbaccbaabcabcbcaccaabaccbbbcacbaabccbccbacabbabaaababbccabacaabccbaccbccbcaacbabaaaacaccbbbcccaaccacbccbcbbababbaacaccbccaacbbbcaababbabbcbacaaabcaaccbcccbcccacacacacbbbccaccbcbcbacbcacaaccbcbcabccacaabccaaababbcabbcbcccccbbbabcbcaabbbcaccbcbbcbacccbcabbcbaabbabcccbacbcccbacbccbbbcabcbbbcbcaccaaaccbacbaacabcabacbabacabaaaabbabbcbcaaaacbabccabbbabcabbcaaaaacbaccbbccbaabccbbcabccaccbccbaccbbbaaabcbabbcaabcaccbcbacbcbaaaccababbbcaaabcbccbcaaaaabcccccccbbabbcabccbaaaaaccacabcbcccacaacacaaacaacccccaccaacbabbacccabaaabacaababcbccabccbcbbabaabcbbbaabcccabaacaaaccbaaaccbbcbaacabbbacbabcbbcbcccacabbbcacbbaacaabaccaabbccaaacaccbcaabaaaacbbcbacaababacaaabbcacaacaacacbcacaaacbbacbcbaaccabbabbcabaacbccbcccbabaababacccccabbaccbabbbbccbccaccccabaabaccccccbabccbcaccaabcaccbbcbbbcbabcaccaabbcabbcccabcabbabcccbcccacbbabcbcaabbccbacbcbbbacbcbbcccbbabbbaccababccaacbccbabbbbbabacabaababbacbccbacccbbabaaccbbabaccaaaaaabcbcabcbcbcaaaabccbcbabbbcbacabbacbcabbacbbccbcabbbaccbccaacaababacaabcacabccbaaaacbbbbbccbbbaacacacbacababbabbbbbabbbababccabaaaabbbbcacbcbacbcabbbbbcbcbbaccabcbcabcabacbbbcbbbcacabbcbbabacabcccabaabacacabaaacacbaabaabacbbcbcbaaabbababbaacacbaaaabcaaacccbbabbacacccaccacacacbbcbbaababbaccaaccaababbcbccccbabcbbcabcacabbbaccaabaabbbbcacccbbccabcbacabbcbabcaaaabacbbaaaaabaaaabaacccbbaacbcbcaaacbbcaabbacbcbcbabbcabbcbcbaacaabcaaabcbaaaccbaabccbcbaaacbcbbacaaacbacabbbaccabbaacababccbbabccbbbacbbacbcacccacaaabacbcbaaacabcbacbbabbbacbbabaaccacabbbbacbbbcacbbaaaabcabbabacbccacbaaccbbbacbccaaccbcbaacccabaaabababaaccbbbbbccccbacccbabbcccacaaacabacbaacacccbccbccbbbaccccbaabacababcaaacabaacbcbacacbabbbaabbabcbccbcccacacabccbcbcabbbbccccbccccbbbcabaaaccacacccacabcccbcacbccabbcaaacbbbbaccbacabaccacabacaacaccbbbabbcabaaacacccaacabcbabccbabaababccbbccbbbaccacaabaacaabcbabaccbccacaabcbaabccbacccbcaacabaaaccababaccbabbccbcaaccbaaaabccbbacabccbacaabaaacaabbbacabcccababaccbacccabacacabcacabbcabcbacbcbbbbabcabcbcababccaabacccacabbbcacacaccbbccbabcbcbcacccaccbaccccccabbbcbacacabababcabcaccababcbaaccaaccbacabcccabbcacabbabcbaacabbbaccbbbaccbbbbcbcacabbccbcaccbcbabccbabccbbbaccbcabbbabacbbaabcaababbcaaccabaacbbccbaacbaaccabacbcbcccccbbaabaccbcaaaacbbabcbaccbcccbaaaabababcabcacaacbbcbaabbaacbacbbaccccccaaaabbacabaacbabbbccbbbcacaababaaaacbaacaacccccbbcabcbcaabcaccccbbbcbbaabcbcbabcccccabcaacabbcaabbccacbaaaacccccababbaabccaabbbabbbbccbbccabbbcaccabcaaaacaaabccabacaabbbcccbbbcccaaaccbbbbcabacbcaaabbbbcabaccaaacaaacaabacacbcabababaacaabaababcbabcabcbbbabccacabbccabcccacbabcacacaccaacccbbbccbcbcbabbaaaaccabababbcbbbabccbcaaaccbcbacabbbababacbccacacaaaaabbcbbacbcbcaabaacbabbcbcccccaabacaabababcbcaaababbbbbbcabccbaaaacccbbcbbbbbbbbbabcbcbbabbccbbbcbabcabbbbbcccccbbcaaaccbbccaacccaaccbbaacbcababaaccaccccbabcabcabbbaacbaabbbbbcbacabbcbabbaaaabccbaabcbacbcbaaccbbcbcbcccbbcacaaacbacaaaaabbcaacbbabbcbbaccabbbbbaaaaaaaaabcacbacbbbacbcbababacacbaabbaabccccbcccbcababbcbbbbabbacacbccccbbcbbbaacbaacacabbcbabbcbbabcabcaccbabcaabbbaaaabaaabbbcaaccacbbabaaacbcbbccbbbaaabcaccbaaaccbaccabaacbbcbccabcccbabcbaabacccbbcaaabababcbcaacbbcbcacbccccbabacababcacaaabbcbccbbbaabcbaacbbbccbbbacbcbabcabaaaccaaccbccbbccbbcbacbcbbaaccacbbbbbcbbabaccabaacabcababbbbbbacbacaaccbbbcbbbccbabbcccccaacacbaaccaaaacbaccbbccbcaabaccaccaabaaacbcabbcccbcccaaaacacbbcaacbbabcabcbcabacbaacbacbccacbcccccabbccccbcaaaaabaacbcbababcacaaccbbbbbbaccbabbabccaaccccccabaacacababbbabbacbbacbcbbcacbcbbcaabbaaaabbacbbbabacaccaacbbbaaacccabacacaabacbcaabcbcaaacabcbcabbccaccccabcbabbaccbbacbccbaccbcabccbbaaaababacbacbabcaaacbcbbcaccabbacaaabccacabcbbaacbbcaaccabbcbabbcaaccababaacbcbaabaaabccaaabacaabcbbababccabaaacbbcbabcabacababcbcacbbbbbbcaacccccbbabccbabaaaaccabbcbbbbbcccaabbcaabaabcbbcacbbabcbabacbaabccbbcbbaccbcabbabcaaabbaccacaacaaacaabbabcccbcbbccacbcababbcabaccbaaabbcacbacbbccbacabbacccccccababccbbcbaaaabbbacbacacbbabbbcacabcaaccbbbcabbccbaabbbaababcbaaabaccbccacababacbbcabccccabcacacbbccaabbcacccaaabbcabcabccacbacaaccccbabcacbbcabcacabaabbabaababbbaabccabccabbaccbccaaaababaabaaacbbcbbbabaccaabbacbcbbcacccbbbbbbbcaaaccacbbaacbcbcaabcccbbacacaabccbccabbaccabaabbccacbababcccacaccacbbacbbbbbabcababcacbcabcaaccbbcabbbcbabcbbcccccbbbbabbbbccaacbcaccbbcbbabbbbaccabbcccccbaabacaacbccacbbabccccbbaacbbccabaccccbbbcaabbabccbabccbacbcbabccbccabbcbaacabccccaaaaaaccabbbcbabbbccbccacabbacccbbbabaacabbbaccacbaaacbaaccaacbbabbaccccabbcbaccabaabcabccaacabbcbacbbabccacaccbcbbccbaacbabcbcccccabbaaacaabcabccaacbccacbaaacbbccbaccbcbacbbacccaabbcaccbcaaabacbccccccbcabacbbcccaaabbaccbabbababcbbacaaabbcccbbbbaacacbbacaabcbbbbbbabbbbbabaccabcccbaaccbaaccaabaccbacbabbbbbbcacbbaacbbccbbabbacaaaccaaabbabcabbccccabbccbaabbbbbcccbbcbacacaacccbcaaabbaaabcabbbcccccbaccccbbccbbbcbaacbacbacabaabcccacaabacabbcbbcbcaacbbbaabaaaababccccabcbbccbabbccccabcccabbcbabbacabbcabbccababcaacccabbcbaccbccacbbaaacabccacbbbaabaaaabababbcbaccaccacbababbbcabbccabbbbbbabbbccbababccacbaaccbccbbbaaccabbacbbbaabcaccccbbbcaacbaacacbbbacbccacbbacccccacbacbcabaacbaacbcabbbccabbbcaaabcbcccabbbcbbaacbcabcbbcaacacccbabbbcbbabacbcbacbbabaacbbabcaabcaacccbbbccacaccabaacbccabbccacbbacaacaacccacaacbaaacbacacbbbcbaabccbcacacbcbaacaabaaaacbccabacaaabacaaccbcbbcbbccbccbabbabcbabaabbcbcaababbaaabcabbcbaccabaacaaabbaccbcbacbacabbbbcbbbcbccbabcbbcabbacabccaaaacbacaaacabcabbcacbacbcabcaabaaaaaaacabaaaacbbcabcaccabaabbbacbababaabbcbbbcbaaccaacacbabacaabbabacccaaabcbacbabacbbccbaaabaccaacacbbaabcccbcbcccccacbcccacabcacbabbbcaacbbbbaaabbbbababccabbcccabcabaabbbbbbbabbbcabbcabbaacaaaaaaaaabbbbcccbabcbcacbaacccbcbbaccaccbbbaabbbaaababbaabcbbcbabbacabbbababccbbbccbcabcabbaaabcaaccbacccccccbccababbacbaababacaabcaabbcaaacbabbbbabacacbcccbcabbbcacabaaacabbaaabccaabaabcbbacaabbbacacbacccaaaaaacbaabccbbcbababcbccccbaaaabcccacacaabacacabbaccccaaabcbcacacbbbbcbccbbaabbbcaabaabacacbccbcaacbaccabcabbbcbabccabbbcabcbcbbcacacbcbcaacaaacbcaabababccbacababbbabaabbabaaacacccbaaaccabcabbabcaabcaccbccbacabcbabcaacaaabcbcbccabbbcccabcbacbccbaaaacababccbcaaacbcbcbcbaacbcacaaccbbcaccabacbbbbabbacccacccabbcacbaabbaacabccbbaaccaccaaabccabaacbcababbaabacaccbbccbbbbccaaccaababaccaaacbccbaccaccbaacbaacbcbbbcbacaaccabbabacababbabbaacacabcccabcbbcaaaaaaaaaabbaccbbcbbaabacbacbccbbccccbbacaaacaccccbcbbababaccaabbacaaacbaacbcaccbbbbbcaaaabcbcacaacaaabcbbcaabbacabcbacaabacabcbcbbaabbaaabbbbbcbcaacaabcabbccacabaacbbbaabbabbbabbaaaccbacccbcaccbabbacacabccacabbaaaaacabbbcabacbaababcbbcaacbcabccbbcaabaabccaaccbabbbabbbcbaaacbccaccabbbbbbaaaccbaabccbcbabaccabbaabaaacccabcccacabbbcabcccbbaacacbabbabcbbcbbcbccabbabcbbbcbbbababababbccabacaaaaaabcbbabbaccaacbbccbbcbaabbabcbccacbbbaabbbaacbccabcbcabcabbaabbbcbaabbbbaaaacbcaabbabbabccacccaacbbbcccccaccacccacacbcbabcabcabcbcaabbcaabbbccaaabaccbbabbbacaaccccbaabacacccabababcbbcbaacccbaccbcacaaabcbaccaaaccbacbcbcacacbcbcababccaaaacbccbbbabcaababccbababbccccbaaacccbabbcacbccccbaaaccbaacccaaacabbbacabcbbccaacbaccacccababbcccbbbbcaccabcccacacabbbcaaacbbbacbbaabaccaaacbbbcacbabcbbcbabcbacbccaabbaaaaaacbbababaccbbbcccaaabbcacabbbbbccccbbaaccacaabcbbcccaabbbaacacccbcbabcacbacacacacaccabbcccabcacacabaabcaacabcbcabaabcabbcbbbabcbccbaaaccbbacaaabcabbabaccabbbaaccbbccacacbcbbbcbbccbbaaaacbabbbbcbacbcbabcacbbababaacccbacacbcbbcbbcbcaacbcabaaabaccaaaacaacaccbabcacbacbbcabccbccccbcbccacbcacacbbcaccbcbcabccbbabbbbcaaabcaabbbabacbacabbbbacccabaacccacbcaccbcaacccaaacaaacccbbccbaaacaabbccaababcbbbacacbcbbbbcabaaacaaccccccaabbabaacbccbbcbabaacbbbbcbcbacbcbcaacaaccbcbabaaacbbcccbccbbaaabaccbcaaaccbcbbbccccaaabacaacabbbbcabccbcbabcaaabcccabbccaaaabaaacabcbabacacacbabccbcacacbbabccccacaacbcbcabbacaacbbcbabbbacccabbaacbbcabbcabaaaccccabaacbbabbbaccacbacbaabcbaabbbbbaabccaabcccccccccbaabbaaaccabaabbcccaaaaccacabacbbbbabcbabcacccaaacbbbbbcbcbcbbbbcaababcacbcbccaaaccababaacaccabbbcabacbbbacababaccccbbbcccccaaaaacacbacccbbccaccbaacbcacbcbccacaaabccbacbbcccacbccbbbbbabbaaaacacaccbaccbccbabcbbabbcabbbcacaacaabcccbabaaccbabcabaacaacbccaccbabbababbbbbbbabcccaacaacaaabacbabcbbbcbbccabcaccaacbcabacbabcbacaccaccbccbccabcbacababccccbbbbaacacbbbbacaccbccbacbbbcaccabbcccaabcccabcbaacabaaaabaababcbccaabacbbccacacabaacababcccbbbacbabacbccbabbaababcbababbcccaaccbbccbcbbccbcbabaccabccbcbacaabccaabcbaccacabbaccccbabbbaccabcbaccaabcccababbccbcccbcbcaaccbcccabcacabbcabacbcbbabbbaaccbcaaabababcaabbbaabcbbcbccacaccaabbaabcbbabccaaccccbaaabbccaccbacbbabbcbccbcacbccacbabcbbcbcabbacbcaacbbbaccaaabcabcabacacabbcccbaacbabbccbbcbbbcacaabcaabcbcccccaacaccccbcccbcabaccababcbacabbccacaaabcbcbbccbcbbaaaabaabbbcaaacbcbcabccaccbbbbccacaccbabcbccbccacbabbcaaacabaabababacbaccbbbccaacbcbcbaaacbaaaabccbabbabababccbbcccbaccbabaacbcbabcaccabacabccaabbccaaaaabbccccbbcbbbabbcacabbbaabbccccabcbaacbacabcacaabccccabccacabaabcaabcbbcccacaaccbbabacccabcaaabbacabccabbbaacacabcbaacbbacbcabbcccacaccbaaabbaacbbbaabaacccaaaabcabcccbbbaccbaccaacccacbbcbcccbbcccacacaababbbaabcacbaabaaaacaacbbcbaccbbbbcbabbababcbcabcaacaacaaabcbabcbcabbcaabcbbcabcbacabaaaabbaacacabcbcbbacaccbbcbaccccbacaccbcbbcccccbabcbaabcccbbabbbbaacccbbbbccbbacabaacbcbbacaaacbaaabccbcbcabbcccccbcbbaaaccbbcbcbabbcaacacabbccbaababcacccbabbbaabaacbbbabcbabacbacaaaaaaacacbacaabcaabbbaaaccabbabbccbcbcbbabcaaacbaaaabaabababccbacabbaaacabbbacbbccaccabcaaabaccaaacaaacccbbcaabacaccbabbcbabbacbbccbaccabcabbaaaccabbabbcbbccaccccbbbbbaaccbcbcaaacaaacacbbbbbbabaccbabcabccacaccccacbabacbcbabcbbbcbaacbbabbccacbaaabbaaabcbcaaaabbabaabbbbcbacbbbcabcbaacbabaacaaababcbccbbccacbbbabaccbbcaacbaabaacbaaccbbcaacbbbacabbbccbcbcacbbaaaccbccccaccbcbbbacbbbbbaabbcaacaabbbabaaccaaccbcbbcbccbcbbacacaccaaabbabccccbbcbcccbcacacacaabaabcacbbcabbcbcbbaacacccabacaacaaaaaaccaccccaabbacbabaaabaccacbacacbaaacbabacbbabaacbcaccbacbabbaccbcbcbbccacbbaccabababcbcbcaabccbbcaabbacccaaacbacacabbababacabbbababcaabcbbcaccacbccbabcccaaababcbcbacabacaccbabbaabacabcbaaaccbaaabcbcaacbabccbaaaabbcccbabccbbabbcbbabaccbbcabbabcccababcacccbbbcaaabbabccaaacbaaccbbabcaabacbbacccabbabbaaccbbacbbcbbbaccbcabccccccbaacaccbcababacbcabbcaabaaacacccbcabcacbccbcbbaabcbacbcbbccabcacbbbcbbbcccbacbbaaabcbabaaacbcacacccaaababcabbacaaaccbbcbabccbaabbcabcbababcccabbbcbababcbaacacabbcbcbbccbabcaacbbcccabccbbccaabbaabcabbaacabbacbbaabcccaabbbcacabcccbbbabbaaabbaaabaaabbccacbabbbababbcaaabcbcbcaacaccaacaaaabcccaabcacccccabcbaaaccbcbbbccacacccbccacacccbccbccccaaccccabbcbcbaacbbccacbacabccbbcbbccbabccaabbbaaaacaacbccaaaaaacccbabccbabbbaccbcbbbbababaccacccabacabbaccacbbcaaacaacccbabccbcaababbcabcccaaacbbcbbbbbccbaabcaabccbbcaabcaaccacaaacaabcacaabccaccabbaaacbabbcabaaabbacbbcabaabbccbccaabcbbaacbaabbacbbaabbcaaacabacccacbbbbacaacccbbabbbcaccaaccacccaacbbbacacccbcaabcabbabbcbbcacaabcaaaababaacbacacaabcbbaaaccbacacaabaabbabbaaaacaabcbcabbabcccbacabbcbacbcaaacaabcbcbbacabcbccbacaaacacbaaacbccbbccaccbcabaabacaaaabcbacbabbabbabbcabcabbbacaaabaabccabbbacabbbbbacacbcabaaaccaaacacaabcbaccbbcccacabbbbcbacbacccabaccbacbbbcbcccccacacaccccbbbbbabbccbaaccbabcbbabaccbabacbaccbabcbcabbbcaacaabcccacaaccbcccaabccbcaacabcaabbacccccaacbbbaabaabbabcaabbaacaaabbaaababacbaaaaaacbbbaabbabbababbbbabcbbcbbabbbbcbbbaacbcbacbbaccbabccbcabcbbccbbcbbaccccaacacaacbabcbcacbaacbacbabccbacbbbcabcabcabacbcabbbabaccbbcabacbaccbbcccccacabbacaaaacccccbcbbacbbbccacbcbbacacabbaabcabbabbccacacbaaaaabbbcacabbbabcbaabcabbacccacaacbcababaaabacababcabcccbbaccbababcbbabcacccacbacbcabbabcbbcaabbcbbcabcccbabcbbbcabaaaaacacabbcbaacbbaaccccbccaaacacbaaaccabbabaabcaabacbbcccabbacabcaabcaabcccbacaaabccbaababbababacacaabacccacaaacbbcccccbcbcbccbbcabcbababbbacbabbaaababbaccabccaacabbbaabcccccacaaccccbaaccabcccbcbbccaabcacbacaccccbcaacaaccacbacacaacccbbbaaacaaacaaabaaccacaacaccbaacaabccbbbcbabaacbccabcbcacacaabcaacbababbbcaaacccbcbcbccbbbaaccaacbbababaaaaccbacbaccccbcbaccaabbcbbabbcaabcaabbcbbaacbacbabccbacbcaaccaacaaaabbbcbccbacbabbcaacacabcaacbaacabbbaabcbacbacacaabbacccbbaaaccabcacaaacacaaabcabccacbacaaaaacaababbbccbcbcacaacaabbccabccbcaababaabbbacbaaaaacbccababaacccaabbcaaaccbacabacacbbcacbccabccabcbbcbbbbccbabaacbabaaaacaacababbbabcabaaccbbcacbbacbbcababacccbcaabcccbcbabacaccabcccababbcccabacccbccaccaccbbaaacacabccbbacbababcabacaaaaaaaabbcabbcacaabcbcacbbabaacbababbbaaaccccbbbacaaccaabcaacaabbacbcbccbbaccbbbaccbbbbabcbcbacabbbbcbcbbbaaaabcbbaacaacbbabaaaccaacbbcaaabbaabaacccbabaabaacaccbaaacbbabacbcababbcbcabbaaabacccacbabcbbbcabbacabababaacabacabaaabcaaabbbbbabcabbabcaabbbccababbababcbbccaacbabaaacbaccccbcbacacbbaaccccaccaaaaccbbbcaaaccaccabacbaacbbbabbccbbabacaaaabaaacaccbabbccbcbbbaaacbccabbbbbbabbabababcbaaababccaabbbbabbacbabbcabbcaccccabbcbcaacaaccabbacbbacaccbacccabcaccacbcbbcbcacbbbacbcaccbbcacaabbcbacabbaaaccbbaaabcabcaccbbaaccacbcabaabbabaababbacaaccaabababacbcbbbacabcaabacbbbabaaaacabbbcbbaabbbcaaaabcbbababcacabbbccbbabaccbbcaaaabaacbcacbcccacccaaabbabaaabbcbbbcaababbbbabababaaccaabbbcccbaacabaaabaccbbacccccaacaababaccccacabccbacbcacaaaacbbbbabcbcacbaabcbcbbccacccacbbaacaacacccbbaacaabcabcbccabbcaaccbbcbbcacabcaacacccbcacbbacbbabcacaaccaabcaccabccbaabbbaabbcbcccccabaaacacbbbaababaabacccbbbcbbcaabbcacababbacbcabbbbcbbcacaaacbccaacbbbcbcaabaccbbbbabcbaccccbccccbbbcccccbbabbccbcccbcababbbcbabbaacccaabcbabbbabcbabcbaabaabacaabbcaccacbbcbabbcacbabcaccbbcacbcccccabbcbabcaacacbabbccacbbcbccccacaabbcbccbcaaaaccacababcacabaacabbcacbabababccbabcaccbcbcccbccacabbbcbbbbcacaababccbcababccbbcababbbccbaaccbccaabbbbabcbcccabcaaacaaaaacbacbaaabcbbaccacabbcabccbcbaaaabaaababcaccacaccbbacacbaacbcbabcbbbcbacbacabcaccccbccbacaabccbabcacabaabaabcabcbacabaababbcbcbaabbbaaaabcacccbbaabcabbaacbbbcccbbbbaacacbcaaacaaccccbaaccabcbbbbcabbabccbaabccaabbcabbccbcbcbcaaaabbbcbacaaaaabbaaacccabaacaabbaaabccabcbaaaaabccccaccccbbcaaaabaababccbabbbcacaccbbaccbbacccbaabbbaabbaaccacbbaaacccbccbacccbcabbaabbcaabcbcaccaabbabcbbbabaabbccbbcccbbcacabcababaccbcccbbbacbccacbbcbcacacabacacabcbcaacacbacbbbcccaabccacacccccbabaaabbbcbbbcbcaaaabbcccbbbaccbccabacacaaccbccaaabbaaccbacbacaacabbcbabaabcbbcccabbbaaaabbbcaaaacacaabbcccaaacbbbcbccccacacbcaccbccaabcaacacabcbcccbcacbaaaaaaaabcbacbbacacabccbbcccacbccaaacbcacccbacacacacaaacaabcbbccbbabbabbcacbcacbcccccbbbccbbabbbbbccbabcbcaaacaaababaacabaabacaccbcccabbacbcbabbcccabbabccabaaaacacccbcbbaaccacaabbbabaccbcbacbacbcabcbbaaabababccababacaacabcbabaababcbcacbcaaabcbaaabababbacbcaccacaacbabbaaccccbbaaabacabcccbcbbacabbbcbbbcbcbcccacccaaaacbbccbbbbccbabbcbabbacbaabcbcaabaaabaaccbbcabcccbcbcbabcbbcbcacccbaacbabccbcabcacaacbbcababacaccbccccaabbcbccbbaacbbcbcabbacacbbbaacaacabcaaabbaabcabaccbacbaaaaaaabbbcaccaaabcaaaccbabbbcbcbccbbccccabaaabbbbbaacbbbcabaaccabbcaacacbaccaaababcccababcccabcabacacacaabbcbaacccccccbccbabcbaacaaccaacbaabbcbcaabcbcabacaccbacbcacbaccaababcacabbacacbaaaccacabbacacbaacbcbcbbbbccbcacabbabbabbabbcacbaccaaaacbcccccabaacbacaaabbacacbaaacaccaaaacbcacacaccabbcaaaacaacabcabcacccbccacacbbacccccbbabaaabacaccbaabbcbacbcabbaccbabbcbbcccbabbcaccbcaaaaacbbbaaacaaacabbbacaccaccacaabcbaababbbaabbaacbcbaccbcaacbcbcabbacacabbcabcacaaccaccbcbcbacbaacbabccbcbbaaababbbacbabaaaaabbcbbccbabccbbbbbaccccaabbacbbabababacbcabccaccabaacbacbabbcbbbbccbbbbccbbbababbaccbcccbbbbcbcacaabbbbccccbccbaaabcbbbcbcabbbbaccbcacbcbcbaababbccccabaccccbbabbaaabbacbbaaacaababcacbbabbbacabababbbcabbcaccacbcaacbcbbbbbbbcccabaabaabaabcbacacabbbbbacaacaccbabaaacbaaaaccacabbbbbabcbaabcbbbbbaaabcacbbaacaabaaccbacccccbabaaabcaaacabaaabaaabbcccbaaaabcbcbcbacbccababaacbcabccbacccacccbaaacbcaabaaaaaabcbabaabbbcbcbcabbaacabccacccaaabbcbccacaacbcababbcbccbacabbabbccbabccbcbbccbccccaacacbbcbababaccaacabcbbbccbcbbacacabacaaacabbacbccaaacacaabcbabcccbcabbbacacbbbaabaccaabcaababcacbbbacaccaabaccaababbbabcaacbabbcabcaacaacbbbacaabbaccaaccbcaacbcccbbcacbcacbccbacaabaaccbaaabaccbcacbcbabacaacbbbbaacbcbccbbbaccbccaaacbccbabacccbbabcaacbccbbcbbcaaaccaaabcaacbcbccbccaccbbaabaacbabaaaacbbbcababcccabcabccbbababccbbccabcccbaaaabbccccbbcbaccbcaabcabbabccabbbccaaaaabbbbcbcbccbbccbabacabcbaacbaacabbcbacbcabccbbbbcbabcbbccbbbabaaccacbacbcabaaaacbbcbbcaacababbccacbaabccaabacbaaaacbcabcbbacaaabbabbabcbcaaaacabaaacccaacbbabccccbbaccabbcbccaaaccaaabccaacbcccbaaacbbcababcaaacbcbaabbcababbcccaaaaaccbabbbbabaccaabacbbcbbababbbabcacbabcacaaccbbcccacaabccbbbbbbacaabaacbccabaccacbbbccbbbcccaabbbcababbabbccacbabbabaabcbcbbaabaaabaabbcbaabacabccccbbacccaaabcbcbcabcabbacccccaaabaccabbcccbcaacbbabbcbaacbabcbcbccabcbcabcccbaabaccaaabaaacacaccbabcaacccbbbacaaaababaabcbbcabcabcacbbcaccbccccaacbbababbcbcbacaacbaacaaaaabbccaabbabccbbcccacbcaaaaabbaacbcabbacabbccccaabccbcaccbcbbcabccbbacccbababbacbacbabaccbaacbaacbcbbbaacabcaccbcacabcccabcbbbabaaaabcabbaccacaaaacbcacbbacccacabcaacaabbbaaacabccacccccaabbabcabbcccbacbaabcaababcbacbaabcaaabcabcccacaaaaaababcbabbacabaabcabbbcbcabbabcbbcbbbaaccacaabbbbcbbcbacacccacbbcacaaaaaaabbcbabbabcbcbcabcaaabbbcbbccccccbbbaaaabaabcbbacabbacbbabbabaccabbbccbacaabbccacccbbaacbcabcccbcbbcaaacbbbcccbaabbababacaccccbabcacaccbbacccbcbaacabcabbabbacccbcccccbccbacaabbbacbbacbbbccbcbcbcbaabccabcbcbbccbbbacaaacccacbbccbbcbcbbbccccabcabbcabbbbbabbcbbbabcaacacacaaabacaabacababccacbcaccccbaabcbcbccacaccbccaaccccbabcaabacaabbcabcacbbbabcaccacbcababcccccbacacbbacbcaacaaaccabcaaababaaabccacababaabccbbcaaabcbbaaccaacbaabacbacbcbaabaabbcaaaacbbaaccabaaaaaaabaabcbacbcccbbbbabacbbaaababaaabbacbcabcaabcacaaabacbbbcacbccacccbbbbabbcbacaccabcbbbccabbaccbbbcacacbbbcccbcbccaabcbbbbbabcbaacaabbabbcbcabccaccacccabaaabccbacaaacbbaacbcaaacacacaabcbbbcabcaaabaaabcabccabcccacacbcacabcaccabccaaacbcaacbcccaacaaabbabacaaccbbbacccbbbcaaabccaccaaabbaabbcacaabbbcbcaacbcccabcccaccccccaacbacbaaccacbcccaaccaccabccacccabbbaabbcbabcabbbbbbbacbabcaaaabccbacaababbacaccaccbcbababbccbcbbaacbbbbabbcacccccaabcabccccbbcabbcbcaabbcabaaaaababbccbbbbbbbacacaacacccbccabccbabccabbcbbccbcbbcacabbcacbcaccbacbbbbcccbbacabaaabbbbacabcaabacbcabcabaccbabaacbbcabcabcccbbaaacabaaacaaaacbabbabccabcbcbacccccbcacccabacaccacabacbccaaaccbcacbbabbbbccbabbbabbbbbabcbcbababbaacbcccaaccabaacbbbabcbacbbbbabbabbbcaacbabcbbcbaababbabbbccbaacacabacacbbaaacacbcbcbaabbcccbcabbcbcaaabaaccbabccbaccacbaabbaabbbcbcbbbbbcccacbcbcbcbabccccabbacaacbbcacacbbaaaccbacaaabaacccbbbabcbabcacbabbbcbaccbcbbcaacbcaaacaacbcaabacacacccccbcabacaaabacbaaaacbaabbaacbbbbbaaaabccabaaccccaabaabcbbcbacccbbcaabaaccacabbabaabbbcccaaaaacbbaaabbbccbaaccaabacbcbcabcbaacaccabacabbcaccbabbcacccccccbacaaacaccbcaaaabcaabbccbabacccaaabbcbcbacacbbacaaaaaaacbacbabacccbbbbbcbabcbacacbacabcaabababccacacabaaaaaaccbabcbbabababccbacaccacbbabbccbacbbbaaacccbcacacbcccaaabbacacbcaacbcbccabbccbcaccaaaccbbabbacbaaabccbbabacaccacbbaaaababbaacacbacbcccbbcbcaacabbabcbcabbabcaabcbbbaccbabccbcccaacacbbaaaccbcaccaabbbbcbbbabacbcbaacbcbbcccabaccaabbcbcaaaaabccbabbcccbaabcaacbacaaabaccacbcccbcbcbcbacbaaccbacbaaabbcacacaccbccaaacbbcacbaccabcaaabbcacbbcaaacbccbbcbbbaabacbcbbcabcababacbacbacbcaaabcaacbbaccbbcbabcbbaacbabacbcaacbacaabcbbaaacccbcbcbcccbabbcababbccccbaaaabccbbcacbaaccacbacaccbbbbccbcbcbcbcacaaccbbaaacccabaabbbbccbcbacaacbabccacbcbbcabaccaaababbbcabbcaacabcbbccbcbbbbbaaccbabccbacbbaacbcccccbaabccbabaccbbaacacbcacababcabbaaaabacbcbacbabcabcabbaaabbabaccbbcccacacbcbacabbbcbaababbabcacbcccbbcabcabccbcbccbbaacbcabbaababbbccaaaabbaccbbcaaccacabacccbcbcbbccbabbbbcabaacccbbacccababcabbababbacaaaacacbcabbbbacbaababbcbbbabbcaacaccbcccaccbacbbccbacbababbbcccaaaabbccbacaaccaabbbbcababaabcbabbabbacaacaaabccbccbcacccaaccbaabcccabbbcacccabccccaabcbcbabcbbaabaaccaabbabaaccbcabbccbcbbcbaaaaaaacabccaaabcabacbbaaaccbbcaaaaabccbcbabcabbcbacbccabbcbbaabbabbbaacaabbbacbcabbacbccbcaabcabccbabcbccbacaabbbcbcccaaacaababaabaaccbcbababcbaababcbbacccccaabaabcccaabacacbcccaaaacbaccbaccbaabaaacbccaaaccaabcbcbaaccacaccabaacacabbbabbcaabacacbbccbbbbcbbaccbacccaababbcbcaabccbacbbcbcbcabccacbaacabababbcaaabababcaccbcabccbaabcccbaabbcacbabbcabcbcbcccabacccbaaabcbababbaaabacabcccaaccbbcbccbcabbbacacbaabbaacbacabaccaaccbbbcbbbabaacabaaabcaabcccacbbcaaacccccbbaaccbaaacabcbcbaacbaababaacababbacacccbaacbbaaaaabcacbcabbaabacacaacaacbbacaacbabaccaacaabaaabbacbcacbcabaacbacaabbbbbcaabbaacabbbcabbabcbabbbbbbbabacbcaaacccaaacaabbbaaabacaabcbcabbbbccbaacbcbabbbacabbccaaababbcacccabbacaabbbccaacbcaabaabccbccbababaaacbbabaabaacaaacaabcbacbbaaacababbabaabcccabcbabaccbaabbbbaaacccccabbbbabcaabbcaabccccabcccaabbbccaabbbbbcaabcbacaacbbacaacbaacabaacbcabbcacbbcaacccabbbbbbcaacabcbcbcaabcaabaaccccbcbcaaabcccbabaaaacaabbbbaaabacaabbcbcbbabbbcaaacababbacbcbccbacaababaccbacaacbbacbaacbcbabbacbacabcbbbacbbccccbcaacaaabbbacacccabaccacabaacacbababccbbcbbcccccacabcccacaccbaccbaccbaaacbbaccbbabcbaabbbcbbaccaaabaababbabcacabccbbbbaaacccabcbcabcabacaaaaabcbaaccccbbaaaccccaaccabccbbaccaccbbacbcbcaaaababccabaaabcbcabacacbbaccbcaccbbbbbbbbccbcaccccbccbbbcaaaaacacaacbbccbcbacbbbcabaabcbabcaaaabcbbcaabbaaacabbbccbccccbcabcacaccabcabccbabbcccbbcabcccbbbcbbccaacccaacaacacacbbcccaccaccbabcacbcbcccaaccaccbacaabacbcabcbaabccbbccaababaabcacbcbcaccbbbbbacbbababcabbcbacccbaccacaaaccbcbcbbacbbccbccabbbcaacabaacaabbbcaccccaabbacbabccccbcbbacbcbacbcbcacbacaccaaaaccaaabcbacaacbccabacbccbacccbbcbccacaaccbcabcaccbcacbcacaccabacbabacbabcbcacabaacaacccacabcaccacbbaaaabbbabbcccbaabababaccaacaabbcbabaaacbbbcabcaaacaaabcccbaacbccabacbacabcbabcbcacbccaacbacabacbcccbcccaccbcbabcbcacaabaccbbbcabcaacaaaacabaaacccaccaaababaabbcbacccbcabbabbbbbbcbcbccbcaaccacccaaabcbaccabbbcccbcbacccaccaaacbcbcccbbbcabbababbaccccaaabaccabccbccacaccabbaaaaaaabcbaaaaaababbcaabaabcbcbaaaaccbbabcbbbbcaccaabacbaabbccbbccccbbbbaababcbaaccbbcbabbbbcaaccacbbccbacbaabbcccbbaabccacacbaabcbababccbcabbbcabccbbcbbbccbaccabbaccabcaaabbabccccbbccaaacbbbcbababacaacabaabbaacbbaacabcacbaaaaaabcacbbabbabaabcccbcbcbacccacbaaaabbbbbcbcaaacbbacbcaacacbbccbbcbabacabbbbcacaccccacccbbaccbabbbbaaccabacaabbbaccacbccabaacbaacccacbbcaccaaaacacbbbcaaabbccacabcbccbbcbcbcabaaaaacbacaaababccabbbccabbbccaabbaaaacbbbbaaacbabbcabaaaacabbbbbacaabbbcbbaccabaccbaabcabcbbaccabccbaccbcabaaacacbccacacaaacaabacabbcbbaccbaacacbccbbaaaccbacccbbcacabcccbabacacbbcbbcbcbbabbacbcacaacccaacbbccbaababaaacbbbbbaacacbcccaaabbbbccccbcbbaacaaaccabbbccabcaaaabcccbbbccacbabaaacbbabaabcccabaaaacacccaccaabbcacacaaccabcbbacacbcccaaaabaaabbcccbacacbbcababcbacababcccbacccaabbaabcbbbbccbbbcbbbbabbbbbbbacbaccbccbabacbabacaaaaaacacbbacabcbabcaabbcacaacccabbccabbccaccbccbbaacabcccaabccbabcccbaaabbbcbacabcccbbbcaccaacbacccccabbaacabaacacbbcbbbcbbbacccacabbccbbabbccabacbcabcaabcaaaabccbcbacbbbccaaaabcbabaacabacbaccbcbcbcbbcccacbcaaabacbcbbabbacaccccccaaabcbacabcbccaaabccacaccccacaabcaaccaacacacacbbbcabcbbcabaabbcccbcccaaabcbaaabbbbccbccbccacbccabbaaabbbacabcbbbababccaababaabcaabcbbcaacbaaccbccaabbaccbbbaaabccacababcbabbcccccababbbbbbbaabbccabcbbaaacababbaacbabcccbcbbaccccacabaabccccbaccbcabcabbbbbcbacbbabbbccabbabaaabacbccccbbccccbbbbcbbabbccbcacaaacacbbbbacbcbbcccaaaaabaababcccbaaabaaccabbcabaacbcaaabbbcccaabbbccaccaccbcbbcbbacbabccaaccaabcacaaabbbcababbcbaccccaccccbaccacccaccaacacbbacbcbccbaaaaababccbcabbabccabbbcbbaccabbabcbbbbacbcaacacbcaaabbccbccacbcaabcacacccbbacbbcbcaaccbbabaccabbaabacabcaccabbccabbbaaccacacaabaccbacacaccbbcbcbbbcaaccccccccabacacbcaabcbbbaaacccaacbcbaaacbacbcbabbcbccaabcaabcaacaaacababcaabbcccaccbacbbccaaaaacabcacacccacccacbcbbcaaacbccaaaccbacccacabbbcbacabbaaabcbcbbacaaccccabccabcabccaabcaaabababacbaaacbbacaabacbabbccbacabbaabbcabaacccbabbcbccaacbcacbbccababacaaacacbbaaabcbacbccbabcccacbbbbbabcbabbcbacbbccccaaaccaabbbbcbcbcbcaabccccabbabbcabcaaccaabcbaacabccbbaacbacbacabcbbbcbcaaaabaabbcbcacbaabbacbacabbaacbcbcabbacccacbbaacaaacbccacabbccacbabacbccbcabaaabacbcabaccbbbabbbcbacbbacbccbbaacacabcaccabccbccaabccbaccbccaaabcabaabbcacaaaaacacbccccaacbbbcabcaaccbbaacaaaaccabccbabaabcbcbcbbaacbccbbcabcbbbcababcbbcbbccacbbbacabbaabcacaccabbbbacbcabcbbbacccabcaccbccbcabaaacaabaccbcabbbcbbaacccabcabbaabcacabcbcaabaccbcacccccabaccbacaaaccbbaabbabcccbcacabcabccbcbcbcbbbbbaababccccaccabcccaccaaacbcacbbbbbccabcbaacbaccacbbaabccabbbababaccbbbcacbcbaccbabcbabaacaabbbcacbcccabcccaacbccbaacaaacaabcabcacbbbcbbacbbaccabccacacbbcbababcacaabcbbccccbbbbaabacbbcccbccababcbaccaccacaabacccaabccaccccbbacbcbccaccabbaacccaaabacabacabcbabbbbbabaacccbcabbbccabaabccabccbcabaaaaabacabacaaaabbcccbcabcabcbcbaabcbbaccbbacccbaccbbabcaaccaaccaaaaabbcaabcabccbbbbcbbcbbaabbacbcabccacabbcbcabaabaccbbbbbbccbccaacaaaabaaaccbcbaacababcccbcaccabbaabbbbaacabbccaccacabacabccacbcbcabaacacacbbaacabcbaccaccacabcccaacbababbcbaacbacbcbaacabaaaaaaaabcbabccaaccbccbabbcbaaabaaaabcaababacabcbaaabbbaaacbcaccaaccbcabacaccacbccbaacbcbaabacacccaacaccabccaccaaaccacbabbcccaaabccbcabbcbcaacccbcbbcaaacbaacaabcacaabbbbbcaabaaaabbcbbabacacbabccaaaaaaabaccbcabcbbabaacaabacaccaaabcbaccabccccacbaacbcbcbbccbcacabbabcacabcbbabbbaccacbcaaabbbbcacccaabcccacaaabbacbcaccaaccccbababccbcbbbbaacbcbcacccbcaaabccaacbacccacabcacacbbccbaccccccbbacabacacabaccccaababbababacbbacbbbcbacababaccaacababbbcaabcbaaaacbcbbcaaccaacaacbaacaabcacccabcbcccaaaccbcaaaaaaaaaaacaaaabbbaacccbaabbaccbababbccbbcbcbcaabaaacaaacccbcbbcabccaaabbbaaccababcbbbbbccbbaababaaccaccbcaaaacabbbcacaaccbabbccbcbccaaabacccbccbbaabcacbbcbbabacbabbcaccbacbcbcbccacbaacbcbbcaacbaabacccabaaacabbabcbbcacccccbbabcbabcccaccccbbaaccbccacbbabacbabcccbbcacacbacbbbccccbccabaacacacbbbccbcbcbbbcbcbbbccbcbcbbabacaabaaabacabcabcaacccabbccbccababcbacbbabbbbbbaabbbababbbcacbcccabccbcaacbbcbcabaaccaccabcbcaabbbccacaaacaacacbccacabbcbccababaaaaacbbccaaaaabcbbbcbaaabbcaaccbbcbbacbbcacacccabacccabcaabcabaaccbbabccccaccbcbbcbbbcacbccabaabababacaacaaccbcbcbbbcaccbbbcaaccbbcababaacccabbbcaccbbabcbbaccbcabbcccbcccccabacacbbcbbcccbcbcbacccababcacabcabbbbabbababbbccacbbccaabacabcaaabbabccbacbbbbabcacbaaacccbababbbccbacaaaaccbcccaccacacaacbbbcbbcabcbcbbcccabbccacbbbccbcccababaabcacbabbacacbcbcabbabbcccaacccaaacaabccabaaaaabacacbccbaaabcccaacbccaccbbcabcccbccbcbcbbbbccbbaaabababccbcbaacbcaaacbbbcccaacababcaccabaaccabaaabcccabcbacbaaaaaaaaabccabbcbcabbbbbbaaaabbcbcabbbbcccacbaccaacbbababbcccbcabcbacaccababcbcbababbacbababccaacacbcccccbcbccbacccbbaccabbabcaaabcaaacbabcbbcabaaccbbcabccabbaccbccaccaabccbbccbbbabbacabbccccaaabbcbbbbbbbbbcbbaacbcccbaaabcabbaaaaaaccacaccabaacacbaacabbbbbbabccbabbaaccabcbabccbbaaaacaaacbcbbcaabcbbbbcbbaababcabacabbcbcacbbabbbabbbcbbcacabbbababcbcbabcbbcccacccaaabaaccabccbacaaaacbcbbcabcaccbaaabacbbccbabbcacbabbacaababaaacbcbbbabcccacabbbcccbababbaacbcaaabacbbccbabbbccaccbcabacbcaababbcabcccbcbcacbbbbaabccbacbaaaacacbcabbbbaabcababccaacbabbaabbbcbacabccabcabacabbbcbbaaccbabbaacaabccbcaacaaabcaabcaaaacbacabcbcababcbacbcabaabacbbabababacaabcccabcaaabaaabaacabccbbcacabccbcaacabbcccacabbaaccbcacccbbaaaabbccccbcabbaababaaacaccabcbacbbabbbbcbcacaaabbbabbccccaabcbcaaacccabaaaabacacabcccbcccaccababccabbccaaaacbbabbbaabcacccabaaccacaabcccaccccccaaabcaccaaaabbbcbabaaaaacbcbbacbbcbcbbcbbaccacabacacbabbbcbabbacbbacabbccaababccbcabccbcabbcaaaabaaacabbbbabbccccaaaacbbbcbbcbccccaabaabaaabcaccbaaccacbbbaacbbaccbbbbacbacbccabacbbbbababaccbbabaaccbaccbcaaabaaacabababbacaabacaacbaabbccaaccbbcccbbabbcbaabcccbbaacbcabbabbbccbbbabcccabbcbaccaaccabccaabacbcacbababccbbccbcacababbbacababccbbbaabbcaacbaacccaabaaccccabbcbbaaaabcccaaabbbccbbbbabbaaaaacbcbcbbacccccbcacaaaaccbccbcbcabcbbacaabcabbbabbccbbcccbcabaabcccacacabbbbccacabbbbabbacbaccbaacbcacbacccccacabcaaaacccccbcaaacbbbbcccccaacbababccbacaccccaabbaabacbcbccbbabbbacbaccaaaaacbaaabaabbbacbcbbaabaccacabcccccbabcbcacbcbcaaccbabababbbbccbcaccaaaaabacccbcbbcacbcabcaaaccbbacaacbabbcbabcbccacbcaaaabcaabaacbcacabccbabccbbaccaaabbcccacaaaabbcccccbcbccabbbbacbbabaaabacccbbbbbcacabcabcbcccbaaccacbbbabacaaccaabaccaabbbbcabaacacbbbcbcabbbacbbccccaacbccbbbcabbbcaaccbabaaabbbaabbbacccbbacbcbacbaccbccaaaabbbaccbbacbbbcaabbaabbaabacacabbcccbbbbabbbacccacccaaacbbbcabcbaaccccacccaacacbcbbabacbabcaccbbbacabbcacbccbccacbabbacbcccaccabacbccbbbabbacababbbbacaabbacbbaaababbabbcabbbbcacbbbccacbcacaacbcabccbbababcccabaaabaacbacabbaaaaababcaabbcbacbcbbcbcaccbbaabbaccabbabcabacbbaabccbabbccabaacbbcacaaacbbcaabbbbcbbaabbbacbbccaaabcacacaacccbacaacaaaaaaccbbcaaaababccabcbbcacbbbcbbabacabbbbbbabaaaaabbbabcbbcacaaacbbaccbcbcacaccababbbbacbbbaaacbcbcbbbaccccaabccabcbacccbaccaabcaabaaacaabcacbcbccaaaaaacbbcaabcbcacbbcacacbaccbcccccabcbbcbcbbabbabbaabbbcbcbabccbcccacbbbcbbabaccaccabbcacabcbcbccccbbacabcbabbbcaababbacbccacacbcaccbbbbaacbcbbbcbaacaacaccbbcacbcabbbbacbaaabbbaccaaaccbabcaccaccbacbbaaccaabcbbbbbbbcbaccccbbaccaaaababcacbabaaccbbaccaccbcbcbbbbcccaccabcccccaccccccabcaaaaabbcbbbcbcacacccbcccbcaaacabcbbbabcccbbbcbabacbbabbaacbaccbcbccaaacbccbbcaabaacabbaacaabbbbaaaaacabbbcbabaaccacbbaaaacaaabaabbacccbacaabbabbbbcbbccccaaccbbbcacbacbacababccbbabcaaabaacbaaababaaacabbabcbcaabbaaacaccbabacabcaacccccccbbcbabcbaabcaababccbababaaaabacacbcbcaabbccbabbbccbcaacbcaccbccbacccbacaaccaabacbbbbcbabcccabbcacaccbacabbbaccaccaabcbbcacacbabbcbaaabcbacaccabbbabcabacaaabaababaccabccccccbabbcaaabacacabbbcccabbcabaacbcacaccabacbabccacbcbbccbacabaaabbcaaacacaaaabcabacbbaaacaacbcbacccabcacabacacacabbbaccccabcaabacacbbbbaaaccaaabbbcbacabcbcccabcccaabbcccbbacbccccbaabbbbbcacaacccaacabbbaaababcbbbcccaaaacaaaaaccbbbabbacaabcaaabcccaabccbbccccbccababaabccaccccaaaacbacbaaccbaabaabacbacbabbbaabcbcbabbacccaacabbabcabcbcbbbcacbabbbcababaaacbabbaaabbccbcbcabbbccaabccacacbbcacbabbccbbaaaaccaacabcbbbabbcaabcabbbbaabccccbccacabcacccccacacbccbbaababbacacbbaacaabbabcbcbcbbcbaabbccbbccbaaaaccbbaaacacbabbcccaaacccbccaabaabcbbbaabaccbaabbcaabccaabcbcaabcabaccabbcabcacacacaaabbbcaacaabaccabacccacacabacccaaccccbbbacaccababbbacabcbbbaaccaaaaaaabacbbaababbbccbbbababbacbcabbaaccaccbaaabbbbbbacaabaacccaabcbabacbbacabaaabbcbcabcabaaacabbaabbbbccbcbcccabbbaabbccaccaccccbacbcccccbabbbcbaaccccccbbcbaaaacbbbbbcbcabacaabaaabcabccccbcaaabcabcbaacbcaaacaaacbbbabcbaccbabbbcbcbccababcbbabbcbabcacacaaaacbacaccbabbbccbaaabcbcbcabbccaaaacaccccccbcbcacbbcbccbcccccbbabbabbabcbcbaabcccaabccbaababaacacabcbbccacaabaacccbbbcccabaababbabcaccacbaaaabbcccacacbabaaacbcbccaabbbabbacbcabbccaabacbbabbbbabbcbbcbacbbbacabbaabccbccccbaaccabbbbcbbcbacabbcaccbabbcaabbcbbbcaacbbcaabaabccaaacbabcacccbbcbabccccaaacbaacacacabbacaabcccabccbbacbaacabacbbcaabbccaccccabccccaabbacbacaababbcbbbbbacbcbbabccbbcccbaaccbbcababababbbaacaaccaaaabaabbbcaacccabcacccacabbbbabacccaaabacababcbacaccaababaccaacaabbbcaacbacabcacccbbcbcbbcaacbbaacabbabbcaacccaacbccacabbacbbbaacbbacaabaacbaccababcbccacbcacacaaabaacbcccbcabcbababcacaccabbabbacabaabcbaabcaaaacaccacbabcaacacbbbababaccbbbbcaccabcccaaaabbabcabbaabbaaaaabcabbaacccaaccabaabbccbaacbabcbacacbbcaacbaabbbcaaacabbccabbcbbcbacbbccbcacabacacbbcaccbbbbbbacbccabbcaabcccbccccaacacaacacabbaacbabcacbabbbabbabccbbccacabbaaaacaacbcaaabaaabacbaccabcaccaaaaacabaccbbcaccbbabbacbbcabbcaacbaabcbccacbcaabbbbbcbabbcbcaacacacccaaacaabbccabcccbaacaacbbacbcbbcbaabaaaacbbbaaabaaabaccbacabacbbbbbcaaacbcbbcbccaaacbccbcabbaacaacccbaaaccabccccbaaaabbacacbcababbbacccabbcaccacabcbccaacabaacbabaacbabaabaacccaccbcaabcbaabcccaabcaaaabbcaacbccbbcbcaaccbccabbccaabacabbbbccbcabccccbcaaabacbaacacccaaaabacbcccccbaacabcaabccbcbcaccacaacbaccaabbcabbabcccabbcccbbcabcbabbcbaaccbbccacaaabccaaacccbaacbbbcccaaaccccbababbacbaacbbaabcacccccccababcbaccacaacbbabacacaacaaccbacacaababccaaaccababbbaababccaaaabaaaabcbabccaccbcbabcaaaacbbccbbccbccbaccaccaacbbcaabacaaccbcbbccbccacccbaaaabbbbbcacabacccababccabccccccacacbccacaabbabbbbbacacbbcaacaccaaabcbcbaccbabbccabacbabbcaccbbabaaaccbbaccacaaaaccabbacabaaababcbaccbcababaaaacbbcacbbbcbccbaaaaccaaacbbacabcbccbaccbbbcbacacaabaabbcbabbbcaccbcbcbbcbcaacabbcaccaaaabbaaabacabbcabcabbabbaabcccbaabbccbcbbbccbbbccaacbbbacccbbcaacaabccabcababaabcbccacbcccbaacbccccbacbbaaccccaabacbabaacbbbbaccacbabbbccbcbbbbccacabaabbbbcbcccbcbccabcbbacaaaccaacaccccbaacbbcaaabacacbbcacccccaaccbcabbcbaccaabcbabcaccacbbcbbbabbcacbbcabbabcccaabbaabaacccbaaabcabaabcaaaabbbbcaaabaacaccccbcabcbabcaaccccabacbbbbaaaaaacbbccaccaababccccbabbabbcaacaabccaaccabcacbbbcbbbbbabbbbbcbbcaaaabaacbcabbabacaaaccbcacbbbacaaacaccbababcbbcabaacbabaaacabaccaccbcabbccaaabaabcbbccbcbacabacccacbbaaaababccabacbcabaccabbabaacbacbaacbcbcaabacbbbbabccbcabccccaaabacccbccaacccabbbbcbaaaabcacccacabcbacbabcccabcccaacbbcbaccaaaacccabccbabccaccabbbacbaaaccacabbacabcabcabcbbbbbbccbbccbaccbacacbaaabbbaacbbaaccaaababccaabbabcbacbcacbbbcbcaaaaaaccabbbcbcbcabbaccaccaabacbaabbbababcaccbaabaacbaccaabbccccaabaaccacaccaacccaabcabacabcacccbcbacbcabbcabcaacabcbbcaacbcabbbbbcababbbaacbaccaacaaccabbabbcbabcbcbbbccaccbcbabaaacbbcbacaaaccbcbcbabcacabaaaababcbbcacccaaacaaccbaababaabcaabccbabaacaaaccabbcccbbbbabcaccbcbbabbbaabaccaacbabbccabbbaabcbacbacacbaacbbaaababcbccbababcbbaabbbcaaaccbabbbcaccccabcabcaabbcbcaabacaaccaabccccaabbbcaccaabcccccbbacacbbaaababcacabbcacbbbbacbccbbaabbbcaabababbcaaacbcabbcbcbaabcabacbcacbbcbbcbaababbaabcbacaaaccaacbbbcccacacaacaacacabbcbbcaacbccabbccabbcbbbbaabbbabaccbbaabcaabaccaccabccabaccababaabbbcaccaacaaaaabacaccbcbbacbaccccabbbbbaacbabcabcccbaaacbaacaaaabacbbacbcbccbcbbcbcabbcaaacacccababcababccbcbbaacababbacccbcaccbabaacbbcacaaaacccaccacabcabbcaacabaccccaccbacbcaaaaaacbaabaababcbbccabaacbcbcbacacbabbbcacbbbbbccccaccbabbabacaaaabcababcbcbcabbacbaacbccaccacacbbcbcccbccacbbabccbacacbbaaabcbbaaaccccaaabcbbaaacccccbaaacaacccaabbabcabbbcaccacabcbbcbbbbacaacbaacbabaacbacbccaacccbbcacbccbbabcbaabaaccccbacaaabcaaaaccbccababbccbabbbacbabbabcaaaabbbcabbaaaabbaccaacbccbaaaaacacacabbaccccbbcabbccabcaabacbabbcbbbaabbaacbaccababbacccbbcbaacccaaabbabbcacbabbcbbbaaabcacccabccccabababaaccbbbcbbabaaccccaaaccacaabbaabcccacaaababacbabcbabbbbabcabcacbbaabacabcaaabacbabaccabbbbbbabcbcbbababbbaacbaaaccacbbcaccbcbabbcbacababccbabbccacaacbbcaccbbacccaabbcabccacaacbbcccaaaacbbbcbabaaaabacbaaacababaacbaacaaccbcbccacbcbbbcccbccbabbbcbcabbabcacbbaccbacbabacbcacbccabbccbaaaacbccbcbccabaacabacccbbaaabccbcbabbbccbacaaabbacacbabcacbaaabcccccabcbbbccacccbbaababbaabcaccbbccbbbabacbbbbbbccbacaaabcbabaccbcacacbaaaababccabacabcbccbaccccacacbbbaaabcacbcaacbacacccccbcbbacabbbccbababbaabbcbcbbccacacbcbccaabbbbbababbcbaccabccbcccaacccaccbabaaccbccbcccaaccbcabacaacccccaccbaaacccabbcbbabaacccbccabbbbaabbacbbaaacaabcccbbbaaccaccbcaacacccbbacccaabcbabcbbccabcacbbcabbbbccacababacbaaacbbbccbcbbbcbcaccbbbbbbbacababbcabbabcacbbacccbcbaabbbcacababaccaccbaacbbbcbabcbbcbcacacabcaacaabbbaacaaabaccaaaaaaabcacacabbccbbabbcabccaabbaaccbccaccaabccbccbcbbbcbaacccaabbccccabaababaabcbbabcbabacabcbbbabcabccbcababbabcaaabacbcabcabbbabbccaacabaccbcacacccbccabbaaaccbbacacacbacbaabaacbaaaaccacacaabaaaaaaabcaacbbabbcabaaababcbacbacaacbbbcbaccaabcbbcbbbbabbacbbbcaacacbabacbcbaaaabcccbcbacaaaacacccccbaaaabbbcaacacccbcbccaaaabccbbcccccbccccccbabcacbaacabacaaaabaaccaacbcbaacaccbaccbbccbbbacbccabcbbcaaaabbbcaaaabbcaaccbbabcaccbbbbcbacaabcbccbbcacbbccaccbcbbbcccabbcaccbbabbccaabcbbbbaacabaababbbaacbcacaccabbcaacbbccbabacaacbaaccaabbababaccccacaabcacabbcccbaaaccacccbbaacbbccbabbaaabaccbcbaacaaacaacaccbbaccbbabbacacabbbabaaccbcacbbbbbbacaaabacacabcccbaccacabcbbacabaccacacbccabbcabbbacccaccaabccabcbccbbbbbaacaaaccbccccaccabacaaabbccbccbccbabccacabaabaabccbbbccccccbbbccaaccabaabaccaabccbaabbbbbbbcabbccacaabbcbaaaaaaaacbbabbaabbcccababacabaabbbcbccaaccbcaaccbabcccaabbcccbabacbccababccacacbbaacacbabcacababcbabaabbbaacbaabaabbaabbbcbaccbbaccaaabacbcbacababaabbccccbbcbbabababcbbcbbaaccbcbcaacacccbcbabaaabbacccacaababcbabbcbaccaabcbbbcaacacbabbbcccaabaabacbcccbcaaabbacacbcabbaaabcbaccabccccbcbbbaaacbccbcbcbbbbbcaaacccbcacccaabaacaacbccbacbbcaabbccabcbaaaacaacbaaaaacacbbcbbaccbcbccaabaaabcabbcaccccccbabcacaaabbcaacabcaccbbbbbbbccbbcaccccbcbacabaabaaaccbababcabbbacaabbbcaaacbbcaabccbbcabcbbcbcbaccaabcbaaabcacabbccaaaaccbaacaabacbbaaacbcaababbacabcbaacaacaacaabacbbcbbaaabcaccaccabbababbbbbbaaccabbacbabcbbbaabcccaabcbcaaacaaacaaabcaccbcababacccaccbacccabcbcccabacababbacaabaaaaaaabbabacbcbcaccbbacbabaabbaaaacaacccbaabcaaaacbababbbbcbcbcbacbacbbbbabbaacbacaaaaaacccbccaabcacaabaababbacabbabbbcbacabcacabababacbbbccacbbcccacacacabccccccacaabcababbbbccccbbaacccbaacbccabcabbaacabbbccabaacbcabababcbbabbcccaababcbbaaaaabbaccbbbbbabccccaaccacbabcacaacaccaacaacbcaccbbcabaccaabcbabbabcabbcbabacacbbbacabaaaaacababcbbbabccbcbacabcaccacccaababcbacbbcbcbcabbbabbabbaabbbcbcacaabacbacbbbabaabcaccbabccbbbbcbcacbacacbaacbbaaccaabbacbbabacaabcbaccaabbbbcbacaaaaccaaccabbcaabbbcacbbabaaacbbcbbcbbbcbcabbbcbbacbbcbbcacbbaaacbacccaaacbaaaabbbcbabbcaccabacbbacbcaccaacacbccacccbbabbccabacaaaabcbaaaaacbbcbabccbabbbbaacaaaabcbcbbbcacaabccaacbccaccbcabbbcbababccaacbaacacabbcbbbbaaaccbbbcbabbcccbbbabaabcaabcabbabaaabccaabbacbaccaaaabaaacbaacccbacbccbbcaaabbabcaaacbbbbbacabacabcbabbacbccbbcacacbbcbcacbcabbabcbbabbcabaccabbbccbcbcbcbaaaaaabbcbbabbbcbbaacbbcccbabcbbabaaacacccaccbccbbcbcbbababbbbcabcbccccbaabbcbccbcbccbcacacbabcaabbbbaaaacccbccaabbcaacacbcacbbcbcaaaccaabccbbcacaccaaacabaabcaaacabcabcccbcabbabbacabaccbcbccabbbbaacabccccbaccbbaaccabbcaaaaaacabaabbcacbbbccbcacabcaabcbaababccbabccbcbbcacbbaacccbabbccbbbcbbbbbacacaacccbccbccababacacacbcaccababcbaaabcbaaaaaabaabccaacaccabbcaaccaacbacbcacbbccbabccbcbbaccbcaacaccabcbaaaaaccccbabccabbaaccabbccccbbbabbcbcbabbacbacbaaaccbcbccbaabacbaaaaaacabcabbacbcaaccccbcaabccacaaccaaaabbaacbbcbbbccccccabcacaabcbbbccbbcaabbcaaccacccbaaabcabbabcaaaaabcbcbbabccabcbbbcaccbabcbbbcacaacbabbbbcccbaacbabbcbacbaaaaccacbcbcbbcaaacacccacbbbbcabcccacccbaabacccacbcaaaaacbbbabaabbacacaabcccacccbcbccbcccacabbcabaacaccbaccaabcbbbcabcbabbcaabcbbbacbccaabccbbacbabcbcbabcbcccaabbacacaabbcacaabbbcccccbcbccccabccbcbcaabbaacabbcbabccbccbabacbaccacbaacabcbaabcbccaacbaccaabbbabaaaabccbaaacbbcbaacbacaaabacbacbcccbaacbcababccccaabbcaabcbaaacccbcbbbbabcbcacbccbaaacbbbbbbbabbbcbcbccabbcbbacaacbacabcabbaccacbbcabcbabaacbacababababcabacccccbabcbaababbacacaaacbbbccbcbcaccbcbaccbabbabcabaccbacbaabbcacccaabacaaabbaabbccbccbacccbcccbacbacabbcccbcaaabcbacaaaabcccbbbbbcbaccbbabbcbacacbabcbcbacbacccbcbbacbbbabbcaaaacaaaccbabbabbccbaccbcabcccabbcacababccbbcccaacbcccbccccbbcbcbccbcbacbbabccbbccabbaaacaaacabbaabcacacaaaaacbccbaaacaaaacaaccacbaabbcabbbcaabbbcaccabcccbbbcacabcbcacabaacbcbcbabababcbbaaccaccaabbaaabccabccaaacaccacaababcaaaaacacabbaacaabbababccbbbabbcccaaabbcacacabacccbabcababaaabccbbbababcccabcbbcacacbbccbbacacabacaacabcabaaaaccbbccbaacccaccbbabbbbcaaacbbabaaabbaaabbbcbbbacbacbcbcaaaccaccabbcbbccaaabccabcbbabbbacbccababcbacbaabbcccccbcabbbbbbbccabcbbcbbbcbabcbacbcccabccaaccaabaaaacacaacabcbcbbbababbabbabccaaabbbcaacbbacbcabcccaccbbabbbababcbccbbacacacbabbaaacabcaabbabaaacccbacbaaacaaaabccbacbabbccccababacccaacbcbbcccbcbbcbcabcaccbbbcbaacbbabcaacacabacabbbacbaabaaccaabbbcacabbcaaacabbbbbabbcaabcbccccbabbcabbccbbabcabacbaaccbcbbcacbaaabaaabcabbbacbaaababbacbaacabbaabcbccababcaaccccaababcacbbcbbbbbccccbbbcccbabbbcaccaacaabbaababbcbbbabacbaabacacaacabaabbaacccbcbbaacaaababcaaccabbaabcbcaccbcbabcacaccbbbccacbcbaacbbcaacbcacabbabcbaccbbcbacacacabaacaccbacaaabaacbbabbabaabcbabacaacacbbccaacccacccccabbccbacbccbcbbacabbbcbbabbbacabccaacaabbbbabcaabbbbcaacabbabbcccacbbabcbbccbaaabcbbcacacbcaacabccbbbabbabcaccabcabbcaabbbacaaaaabcbaaabbbbcaccccbbcbacacabcbbabaaabbbaacabacabbaccbbbabbcbcbbbcbcbacaacabaababcaaacbcacbbcbcbbbabcbabccababbabcccbacbcbbcbabccabaccabccccbbaabaccbacacbabacbbcabbccbbacbbcbbcabcbabcbbcacaabcbbbacaccaccbbbcbaabbcccbcabbaabcabbbcbcabcbbbbabbbbbcbbaaaababbccbabcaabbaabcbcaccaccbbcaabbbbacacbccbaabccbbcbcccabacccbbabbcbaccccbbbcbbbbccbabcbbbcbbcaccaabccacccbacaacbabccaaaabbcbaacaabcacccbcccbcbacbaabaaaabacbbcbbcccabbaccaaacbbacbcabacabaaabcbabbabaaaabcabcbbaabaabcababababcababbabacacbcbcbbabcbaccbcaabccbabbaaabbbcabacacccccbcbcbabababcbacbbacbaabbaccabaabcacabbccaaccaacabbcabcbabacbbabccbccabacbacccbaaabacbccbccacacbbbabcbcabaccaabaabababaacaccccbaccacbabababbbabbbbaccccbcbbabacbbbcaaaaaccbabbabbbabbbbbbcabbbcaaaacbcaabbabababacccacacabbbbabbaaaacbbcbaacbbbaababcbabccbcbacccbbcbbacacbccababbccacbcabbcacccacaacaabaabaaaccbcaacabaabcbcbcaacbacaaccbbcbabbcbbbacbbbccacacacaaabbabcccbcabacaabcbacbababbacaaabacacbcaabacaaaccaaabcabaacbbbbaaabbabbbbcacaabbbabbcbbbaaccabbbbbcbcabcbcaaacbbbabacbbbabcbabcccabbbbaacccaacbcbcbbcbcacbbaacbaacbcccbbaaacaabccaccbbaaaacabcabbcbbbaaabaccbaabaaabaabaabbccbccccaabbbcbcbbcccccbccaababbbcccaaaabbbaacbbcaaaaccbbcaabccccababcaaababcabcbccaabbccaababcabbbcbbbacabacabaaabcccacbcabcbacccaccacbaccbcaaaabcbcacbbaccaabbacccacaaaccbbabaabacbcabaccaabccbcabcacabcccccbbbbacabbbbcacacacacbcabaaccabababcbaccaacbaccabcbaacbbbaaccccccccccbabcaaacbcabacacbbbbccccbcabbbbaccbcbababbaaaaccccbcccaacaccacabbaaabbaacaacacccabbaabbacaaccbaaabcacbaaccbaacbcbbaabcbcbaccbabbcabbbaccbcaccbabaaaaaccbbbbaaaacacaacbbcccabaaccccbacabacccbcbbccbacbacabbcbaaacacbbacbbaabcbacbaccbcbaaccbbaccaaabcbcccbbbcabcacccccabccabaccbbcaaacaacaaabcbbbbcacbbbabbabaccbaabaccbaaacabaaaccbaaacbabcaaccbaacccacbaccccbaaccacbbaccacbaabbbcaaaccbcbacaaaacccabbbbabcaabccbcbabbcbcbcbbcaabccbcccbbcbccacaabcbaccccaacbaabbccbbaaccbcbbababbbcbaccacbaccabababacabbcaacbcccacabcbcaacbccabcbbbacaaccabcccacaabbcaaacabbaacbbbacbccabacccbabbbcabbbaacaababaabcabccabacbccababccacbbacaabcbbaaabbbaaaccabcaccbcacbcaacaaaacbbccacacbbbbbabcccbbabbabbcbaacabbbbcabbbcccaaabacaaababccccccabcccabbbbcbabcaabcbcacaabacaccbcccccacbbcabacccbcbcacaabbaacbbbabcacabcbcaacbbccbcaacccababccaacbcbbbcabccabcbbcaabbccbaccacabaabababbaccbbbbaabacbaabacacbaccbaacbbbcbacabaaccccbaccbaccbbbbabbbbcbbcccbabbcabbcbcabaabaaccaacacccabbbbaacaacababbccaabcbacbcccbbacbcacababbbccabbababbcccbabbcaacabaccaaacaababcbcacbccbbbaaccaabbbbcbbcabacbbcaabbaaacccbccaccacaacbbabcaabcbacaacababacccbacbbccbaaabcaabbcbbabaccbbbabbbbcccaacbbcabcacbccbbaccacbabacabbbcaccbabcacccccbbcbcaaabcbaacbbabbaabbcbbaacbabbbcbcbbccaabbccbbaacbcbccacacbcccbabbbcccacccccbabacbbaabaaacbcababbcacabcbbcbaaabccbbcccaccbbacaacbabacacbcacbccbbcbcbbccabbbcccacabcababcabcbcbbbaabcaabcaabcacaabaabbccaccbabcbabacaaccababacabbacaabacacbbcbcbbcbbabaabcaabbbcbabccccccabaaacacabacbccbbabbbcabaabcaabacbacaaacccccbcaccbccbacbcbbcbbcabbbaaababbbcccccacbccaababbbbaaaaaccabbbbaacbccbabccabbcbacbbbbccccccaccacbccabbacccbbccccacbbbbbcccbbbcbabcbbccbcaabcabbaccbaabcaaccabbaccaaabaacacbaccababcbbaacbaabbbcaaccbbcbcbaaccaccaccbacbabbbbbacaccbaaabacabbcabcaabbaccabababaabbcbcbbbbbbcccaaacabcbacbacacbccabbacaacaabccbccbaaacacccbcbccaacaacbacbaacacbbcbacabbabbababcbbbbcacaaacabaccbccccbbbccbacbaaccbcbacccccbabcbcabccacbaabaaabcacbccaacabcbbccacacaaabcbaaaabccccbbbcaaaccbcabbccababacccbcacbabcbcbcabccaabaacccabcbbccaabcbcbcbbcbaacaabbcbaaaaccccaccbccacaaccabaacbcccbbbabccaccccccaacbbaacaacbabcbbaaaaaacbaacacabaaccaabbccbaaabbabcacbbccacbcababcaabbacacacabccccaccaababbacbaabaaaabbaabccbbaacbbcaaabbbaacbbcabcacbaccbcacbcbcacabacbcaaccbacbbbaaccbcabcccabcccaaaccbcabaabccbacbcbbcccabcacbbbaaaaccbccbabcaacaaabbaccaaabcbaabcbccbbabacbcabcbaacbabbcaaacaacaabaccaacbcaaabbbbcabbcaaabcabccbbcabaabcbaacbbcaaaacccbccacacaacaaaacbaacbbcbbcabacccccacbcbccccbaababacccbaccbabcbcccacaababbbccabaabccaabababcbacacccbcacaccaaabbccbbbabccbaabccacbbacbaaabaabccbaacbbcbaaaaaabbabcbccbaccbbcccabcbaccaabacbbbcbcbaabcaabcbcabaaaababcabbbacabbccabbccaaaaabbccbccaabaacaacaabbcaabbbbbbcbcccbccaccccabcaccbcacccbccabbaaacbccbaacbccaabbbaabbbaacccbbbccaaccbcccccaaacccbbbaaaabacbbbacaccbaacaccbabbcbaccaccabcbbccccbcbccccaccbbaabaaaccaabcbbaaabbbcbbaaaaacababaccacbbbcbcccbbabbbbaaabbacaaccaacbcabbcbccaacaacaabccbacaabbacbbaabaccbccabcaacaabcccbacbcacbbccacaacbbbcaababccaccacacaccbbccabaaabcaabbaabccbabbccaabcaaabacaccbbaacbbbbcaabaacccabcbaacbbacbabbaabcbcaabbcaccacccbaabccbbcbbabcbcccbaabcbcaabcaccbcacbacabbabccacacbbbaaacabbccaabbbbbbbccacccbaccbbcbabcbbbabcacabbcccbcabcacaacabbaaccabcbbcbbcbcaaacacbabcacbabbbcbcbcbababbbcbbacbbcbcccbbbbcacbccbbbacabcabaccccbacacacbbcaababacbbaccabbaccbcaabcabaccbbbaabacbcaaacaababaabccbcbccbabacccccacbaaabbbbccaccacbbabbaacabbabcaacbbacacccacbbbabaacccbaaaccccacbbabaabcbbcccbcaaaababcccbbabbcccaabbccbbbccacccacaaaabbbacaaaaabbbbabccbacabcabaacbbabbcaaccbcbcbcccbbabababcbabbcbbaaccbccbccacbbaccaacbacaabcbacbbabbacbbaaaaacbbabaccabbabcbcccccbabaccccbbccbabaaababbacaccaccacbccabcccaacacabbaaccbcaccbcaaaaacbccbbaabaacaababaaacbcaacabbccbbcaacaccabccbccabaacbcbaccaccbbbaabaacbcaacbabcaccaaccbbaabbcabacccbccabaccbbbabcaaacabaaaacaaabcabbabbacccbbbcbabccaabcaaacacccbabbcaabaabaaccbbacbbcbbabcbbccbccbccbabaabaaccccbabcbaaaaacbbbcbcccaaaccaaacbbbbbbcaaccaaaccaaacabbccbbbaccbaacbccbacbcbabaccbabacaabaaacbcaaabbcbbacacbbcaabcccabbbaacbbcabbcbcbccabbabccccacabcaaacbcbaacabacaaacabaaccbaaccabaaaacabaabaabaaabcaaaacacbccabbaaacbacccacbcaaaabcaacbabbcaaababccbaacacaaaccbaccacbabaacacbccabcbcbabbbacaabcabbccbcbbcaccacabccabacbcbaccaababcccbabbbbaccabaaabcbcbbbaabaaccbabbbccbcacbbcbcccccbbabccbaccacaccbbaccaccccbbaababbbaaabaccaabacbbaaaacbaccbbcabcabbbbccbbcbcaaabbacbcaaaacabbacccccaaccbaaaaacccbbbccabbbcccbbbabbcbabbcaabbcaabcabbccbbbbcaabbbaaabbccbbaabbbabaaccabbcbbbaaabacbcabbabacaabaaccbabbacbbbcaaacccacaccabbccaabcbbacccabbabaaaabaabcccbcacbbbabccbbacbbbccbabcabbbabcbbacbacaabbccccbccabaacbbacababbbcbcabcacbcaaaabbcacaccaababcccaaaacbabbcaaaaccccccbbaaabcccbcacaccccabacbbaababbbbaaacabaabbcbacaaabcbbbaccbcabaabccbaabbcbccbabbbbacacaaaccbbbbcbcabbcacaaabbcbabcbcaccacccaacababbcbacbcaaacbbbbbaaabbbcacacbaabaccbcccbaacbccbccbbbbcbababaacaccababaabaaacbcacccbaabcabbaabbbbbbbabcacabcbabbcbbbaaaaaaacbbacbcbacbabaccaaabaabbacccaaacababbcacbbbbbcccccbbcbabcbaabaccbccaabaaacccbababcbcbcbbaaabcbacaacaaaaabbbcbaccacbabcbcbabbbabbbcbbccbacacbacaacbbacaccaccbcbaabcccabaaaabaabacbabbbccbaabaaacbccbbcbacacacbbaacacbbbaaabacbaabbcbbcbccabacaabbbbacccbccbcbcaaabbbccacbbaabaacaacbaccbaacbbbbccaacabbcaccbcabcaabbabcccbacbaccabbcababcacbbcccccbcabbcaabbbaccbcccbabccbacbbcaaabaabaabaacccbacabbbccbccbbaacabaccabaacbbaccbababbacaacabaaaacacbacbcbbcccaccacbcbaccabbbaaaabcaaaccacacabaacbbacbcacccbabaacaaaacbaaccccabcbabbcbacccacbbbcbcabbabcaacbaaaaccbaccbaccccbccbacbcaccccbbbcabccbcaaabbaabaababcababbcbacbccaccabababcbaabbbcaacaaaaaacacabcccaaababaabcbbcacaaaaaacababbbaabcacacbabcabacacaccacaaacabccccacaacacbabbccbcabcbabababcaaabbcbababcacbbaccacabcaaaacaacbcbaacbacaaabccacabbcbabbcbbcbabbcababcbbbbbbbabbabbbcaacbabbaacaccccbacaacbabbbbacabcbcabaccbccaacccbbbaccbbbbcccaabacabcbbbcacabcacbcccbacaabbbacbabbccbbaaacbccacacabcbbbbbabcaacabccbcccbaabcbaacaaacabccbacbbcbcaccbcbacaacbbbaacabbbbcccacccccbcaaccaacaabbabaaccbcbbcabaacccccccbaaabccaabababbccbbaaabbbabcbabaabababababcbcacabbbcacabcbccbcbacacacacacaabbaabaaaabcbbaabccaabaaaaacacccbbacbcabcacabcbcbbcbbcccbcbbabcacacbcaacccbbabbcbbabbacbbbabaccacbaccacaaaaaaaabbbcccccaabcaaccbbacbabacbbbbaababccaacbbcabbbbbcbacaacacccbbbbaaacbacaacbacbcbcabbcccaaaaaabaabccaccabcbaacccbccacacacbcaaabacbcaabccccaabaaabcbcbbbacbbccbbbcaaccbacbbbabaaacabcacacacbccaaaacbabaabaabccccabcaacbaacbaacabccbacabcaacaabcacccbaaacacbcaacbccbabbaabcbcaccbacbabbbcbcacbbbccbcaaabcbacccbacccbbbcacbabccabaccacbabccbaacacccbaacacacaaaaaabccccaaacbacbaababbabccaccabbcaaabbabcbaacccbaccaccabccacacbccaabbabcaccbabcabccbbccabbbaccccbbbcbbacaabbaccbbbcbbcabaabcaabababaaaabbcabcbcbbcbbcaacaabcbbacbacbbccccabccbbccabbababbbbbcabbbbccccbabbcccabcbacacacabacbabbcbacbcbcccabaccabbaaaaabacbbacbcabbcbccacbcacacbcbaacaccabaacaabcaabbbccabaccabacbcccccacaaaaaacaaabacbaccbbabcabcbacacbcbabbcbbcccacacbcbcccbbabcaababbabccacacbabbcaabacabbcbccbbcbababbbcbacaacbaacaccbbcaabbbaccabbaaaabaaabbcbacbcaaccbcaaccabcbaabbabccabaaabbbcabcccccbacaccbcbbbcacbababbcbaaccabaaccbbcaccbaaabcbbbbaaabbbcaabcaacbabcccacbbbccaaccacbcabcbcbccbbaacabcabcbbaacbbbcaaaccabaaaccaaabbaabcbcaaabbabaabccbaaabccbbbbcabbbaababbababbbbacbcbabcccacaaaacccbababaccbbaaabaaacbcbccbcaaabcbacbbabcabacbbacaccbccacbbbccccbbbbcbacbbcaacbcaccabcbbbbbcaabacbacaccccabcccbbbcacabaababacaacabccbcabaabaacccccacbaaabaaabcbacccccbcaaaccaaccbabaaabbabccccabcaccbcacacaaaabccabbcbbbacbbaacccbaabbbcaabcacbcbccacbcabbccbcaacacccbcabbaccbcabcbaccbcbaccaaabbaccbcbacaacbbcbcabacbbbcaccbbabbbbcabbbaccbcaacacbacacccccbcbabcbcbbbbacacbbcaabbaabbbbbccbabcbbbbbccccbcccaaabacacccbcabbbaacbbcbcbabbccbaccaaccbabcaabcbcabacbacbbcbabbacabcabcbabaaaacacbbcaccbbcbcbcabbbaccbcccbcaccbcabbbbccbababbcbaabaccbbacbbbbabbaabaabcaaaccabbbbcaaacccbaabbbaacabbaabbaabaaacabbabbbbcbbabbbccbccabcabcbaaacbbaccacacaacbbcbaababcbbabcbacabbaaabaccbcbbbabacaaacbccbabacacccccbabaabaccacaccaabcaacbaacabacbabbbccacabbaabacaacbcabbbabacacbccbcaaabbbbacbbbaacccccabacababababacababaaaccbcabcaacbabbabababbabccaaacbcbbaacabcbababbcccccabaacacabacaaccacabcccccabcaaacccbbaabaabacaaacbbcabbaacbbcababacabccbcacbbcbaabaababbbaaaaabcbbaacbcabacbbccbbcbaacbacccbbcaaaacacacccaaaabacbbabcccacccaabbbacbcacbbaabcccaaaabbacbbacbcaabccaabbcaaaabbcccabbcabbccbbcaaaccacaabccbccabcaccaabbaacbbbcbcababcacacacbbccbbaaacbabcbbacaabcbcaccabcbcccabaacbaaabcabbabbbacbabbacbaacbccccaabcacbacccaabaabcbabcbabccbababaaabaaccaccccabcccbcccccbbcabcbcbbccbbabaacabacacbbcbaaccbaabcbbbacccbbbcaacacaccbabccbaacbcaaacaaabbacbbacccaacbcbcccaabaaaccbcabbaaccbcbcabacccaaccbacaacbbbabbccaccbbbbbbabbaacaabcbbbbcccababcaccabaaabcbbcbcccbccbbbbcacacacbaacccacbcccbaabcbaabacabccacbcbbcbacccaaaacbcbbcaccacccccabcbcbcbbcabcbbbccbbcbbccccbbccbacbccacabbcaaacbccbccaaacbaabbbaacabcbabcaabbccaacbcbbbacacabacbcabbaabbbabbbcabccbbabcbbabaccbcbabcbacbbcccaabcbbbaacbcbacccccbacabacbcbacbcacbbbbaaaaccbbbbabacbacaaaabcbaaabccbbbcbcbbbabcccabacbcacabcbbababbbcacbabcbaaabbcbccaaacbcaacaabbcabcccbbccbabbcbaccbabbcbaacaabccccabbccbcacacaacacabaacacbbacaccbbccabbaacbaccccccacccaabccaccabbbbccabccacaccaccabcaccabcbcbacaabbccababcaaacacabbaccacababaacacbbaaacbbbcaacbaacabaaabccbcacccaabbbcaacbccccabcacacabbacabacccaabacbcbaabbcccbaacbccccabacababacbcbabacbcaaccbbcbcbacbbacbbacbaaccccbccaacbcbbbccccacccbabaabaabbbabacbbcabbccccabcacbbacabcbcbbccbcbbaababbcccaababbcbcaccbbccacbbcabbcabcabcbcbcaabcbccaaacbaaacccbccbcbacbccccbccbabbaabbabaacaccccaaabaacbcbcabbbaabbbacbbbabbabcbbabcaccabbabbcababccccacbcbcaaaaaccabbaaaabaccaacaccccaabbabcaaabbbaaacbbbccbbbccaacbccbcccbbbcbbbcbbaacacabcabbbaccacaaaccabbacbababbaacaccaabcbccaaccaacccaccabaacbabbaabaccaacbccaabccbaaabcacbccaacaabaccababbbcbbcaccbcabbbcabbcacaabbcaaaabcbacabbaccccccabaccabbbccaabbabbbababcbaaacccbabcacbccbaaababbcbbccaacaaccabababbcccbacbccccbcacbbccaaabcbabcbcbbbcbcbcaccbbaaaaaabccbcccabaccccabcbcbccbabccbcaacaacabccbcaabbbaacccacabcccbabccacbbbcbbccbcbabbabbcbaacbbccabbcaabacabcbbcbcbbcaacbaacbccccbbacccbcccaccabbabcaccacacaabbcbbcabaaacacbcacabaabcbaabbcbacccbbccccbbaacbaababbacabbbbbcabaaabbbbabbbbbbcbacbabbcacbcccabacabacacabbbacbbbcbbbaaaccabcacaababbcabcaaccabaaabcbabbccbacabcbaaccbaaabaaabcbbcbcccbbcacbbcbcabbabbccbbbaabaccccbaabbccaabcabccbaacabbabaabbbcccbccccabacaaabbcccacacbcabcccabcacccbabccccbacccacacbaacabcbaccacbacbcbaaaabccbacbaccacbccaabbbcbacbaabcbcacaaacbababbabaaabcaacbccbbcbccaaaaabcbbcacabaaabbbcabbcbcbcabacbacbacbcccbcaabaccbbccacbcaacbaacabcaabccacbcababcbabacacbcbaabbabaccbbcbbacacbbacccababccbabcaaacabbcaabaaabacaabcbbcaacbcacccacacbabbcaabbbbccaccabacbbcaabbaabaaaabaacbbacbabaaccababccbacaaabcbacabcacaabcaababbbccaacbcbcbcccaaabbacaaccaacaaaabacabacaaabcabcabcababbaacbbcaaccbacabcacaabcbbbbcbbacccbcaccbbcbbbbbbaabbbbbcbaaaabaaccaacbbbbbaccaaaacbabcaabcabcaaacaaabcaaabcbbbcbbbccaacabccccbbbaacabbbcabbcabccaacbccacaaccaabccbbcaaaaccbaccacbbabbabbabacacababccabcbbacbabccabaabcbabbbacaacbabcaccacaaabbccacccabcabbbbabcccbbacccacacaabababbbbaacccbcabcbacccabccbbbcacbaaacacbacbbcbaabcccbcacbabccabcbbcacbbabbbabbacaabaabaabacbaccaacccccbccacaabaacbbabccccacaacbaaabcbbcbbacabaababcbbbbabbcbcaccbcacbcccabacbcaaaccbbcbabbbccbacbcabacacaacaaabcbbcabaabccabccbbbacacccbbabcaaaccabcacbcaaabbacabbcbababcbaabbcbacabcaccacccccaabbacccaaacbabbbcaaabbbacaccbbbaacacabcaabbbbcaccbcbaabbbcbcaaabccacbaaacbaccaacbbaaaacaacbbacacccbcbabcccacaabaacacbacabacbacccaacccacaacbccacaccabbacccabbbbcbbabcbbbccbbacaacccbccbabbbbcccccabcccccabbbbbaaaabaaacabbbabaabbbccccbbacbcbababbaacbcaaabbcacbbaccccbcbcaaacccbbcccbcbbccbccacbcaaacccabbaacbcabbbcbbbcacaaaabcbacacbaabcbbbabacaacbacaababacbaaaacacbabcbbcaacbcbabcbbcabaaacbabcbaaabcbcabcaaabbcaacccbbbccbabbcccccbacaabbcaaabccabbbbcababcccaccccbccbcaacbccccaacabaaaccccabaabcacbacbbaaaaabaccbcacaccbabcaabbbbaccabccbbabaaaacbacaccbabbacbbabbbacabbcbbbcbcccbacbbaabcaacbacbacbcbcbbbccbacbcbbcacbabaacabbbaaccbabccbccabbbcabaaabbcabbbbbbaabbcabbbcbccccabcbcaabcbaabccbccbbacabbabacacccbbbababccabbbabaaccccccbcccbbbaccabaaacbcaababaccbcbaabacbabaaacacababaaabbabababcacccbcaaaaacabcabcaccaccbacccaacbbccabcccaabcccbbcbacacabcbccbabaaababaaacccaaaccbababcbbbbccbcccaccbcccacbbbaabbbbabbbaccbcabcbccbbaabbaaacbbacabaccbcccbbcacbaccbacaaacabbcccbabbaacababbacaccacabcaccbcccbbbaacaabaacbabcbcbaabaaccccbcbcabaccacacabcacbbbacbcbbbbccbbcccabcaaaacacbaacacaabbabbcbaacccbcbabcaaacccaaabbaaacbcbcbaacaacccacaababbccccccabcbcacbaabbcacaacaabaabcaabaacccaaabcacccacccaccacbbbabcaabcabcaaaccbbccbbccaaabcbbbaaabccabbbbbccbcccabcbcccccaccacbabccacbcccacabccaabccbabcbacaabccbaaacacbbabccacbbacaccbaabacbacbabaccbcacccabbacacbbcccabbcbaabcbcaabccabbabcbaabbabaacaaccabcabcaaccbacaaabcabcbcabcbcccaabababacabbbacbcabcbcccbccccbccaaaabbccabacaabaacaaccccbbacbaccbabaccbababcabcabaabcccaaacbcccacaccbbbbabcbacccaaccbbccbcacbccccbcaacacbbbacabcaacbbaaaaaaabcacaccccbccaccbcbaabcbbacbacbcaabccabcbccacccaaacacaccbbacabcccaabcaccbbcacabacbaabaacabcccccbaaabccbbabcbbbcacbccaccbbaccccabaaccabaaacbcbababcbabaababcccaacababbbabccaabacbababbbbacbcabcbbccbabaacbbbbacabcbacbcaccaabbbacccbbbccaaaabaacbbcaababbcabbcaaccbbabbcaaaacaaaaaaaabcbacbababcbacbbacabbabbbbccbccccbcaabcaacabbcacbcaccacbcccabccaaacacabacbaaaccaacbcbcccacccaabbbbccbbccabbaacabaababbaaccaaccacccacbbcbcbcbccacaaacbcccabaacacccbbcaacacbcaccbcabcbbccaaabbacaabbababbabcbccbccccaaababbcacabacabbacbcabaabbcbcbbabaccbcacacbcccbcbabcaaabacabacbacccbcabcabbbccaccbaacccccabcbabacabaccbbbcaacccbcbacccaccbaabbcaccbbbcbcabcaabacbaaaacacbcbccaaacbaabcbbccbbbabbacacaccbbcbbaabcaabcbaaccbcbbcbacccaacbcaaabacaaccaccbbbbcaccbaacabbcbaaacaaacbccbbacbbcaacaabcacbabccbbcaaacaaacccbcaccabcaabbcaabccbabcaacaacbbbccbbaaabcabaabbcacacbcbabbbcbaacacaabcabacbbbaacccccaccabbcbaccabcbbbcacaacacabbccbcbcabccaabbbbbaccabcbcccabbbaacacccccbbaccaccabcbccabccbbcbbaabbabcbaccbccbcaabcabbccccccaabacaacbabaacbcbaacbccbaaaabcacbaabbabbbccbbbbaaacacbbaaaccbbcbcbcbbcaccbccbabbccabbaaacacbcaaccbbabaaaaaaabbcbccabaccbccbbbbcbbcbbcacacbbaccccacbbaabcbaacaabaabbbacaaaabbbaabaabcbbbaababbaababaababaacaabccbbcbcbabcbbababbbcbcacaaaabbccbbaabaabcbabccbcacacbbababbcabcaabbacbbaabcbabccabcaacccbaccbacaabcccaacbcacccabbcaaccbbabccabbabbbaaaabcbccccbcacbbccabbabbcbabbcbbacbcccbaabaabcacbacccaabccaabcacbbaccacbbaacbbcaabcaacbcaccbbcbcbcaaacbabaaaabbbacbabacccbabcbaaccaaacbcccbacbbbbaccabbccbacbccabbbabcbabaaccbabaccabbcbbbaccabbccabccccaabaaabbacbaccbbbcbbababcabcaabcbccbbcaaabcaaccacaaacbaabcbbacacaaaabcaabbbbcccabcacaabbabacaaacabaaabcaacaabcababaaaacaaccbcaaaabaabbcaacbbbacbccacbbbabbcbaabbaaabcbcbcaaaacccabacbabacbcaabbccaabbbbaaacbabcabcacbaabcabcccbbbbabbbccbccaaccabcbacacbaacabbabbaaabaacbaaacbaaaccbcabbaccbacbabcbacaaabbccbaccbbcbabcbbacaabacbaaccccaaaaacbbabaacbbcaccbbbabaabbcabccbcacabbcbaccabacbbcacccccbacbabcccaacacbbbccbaaaccacbbbcacccbccaacbacabcccaccbababacccabaaaaabcacbaacbbbbaccbaccbcbbcabccbcabacccbababcbbaabbbaaccbacbabcaacbaaaabcaaacabcabbababcacbaaaacccaacbcbcbacabbbaabbaaccbccacbbbbcaabccccbacbaacaaacbcbcbccabaacbbabcbacacccacacbcaabbccabaabbaccbcbaacbcbbccaabbcccbabacabacbcbaccbacacaabbaacbcabbcaabaacbccbacbaaabcbaabaaaacacacaabacaaaacbbbacacabbbaaacacabacbbaacacababcabacccabbabaacaabbbbcaabaaaababccbccaacbabbbccacbbabbabbacbbacccccbbabcbcccacaccacbabaccaaaccbaaabbacbccbaaccaaaaacababaccbbcaaccbbbbcbcacccbcababbbababcabccacbcaccbbcbbbbabcbaaabbabacacbbbcbcaccbbcbabbcaaaabbbbbbcaaababbabcacbbabcabaababbacbbbababbabcaaacabbbacbbbabaaaacaabcaabbbbcaaccbcbbbcbaaacaacaaabbabbcbcabaccaabaaaccbcacabcbccacababaacaccbcacbcbbcbcaabbaccacabcabbbbaaacabcbbababababaaaabaacacacacbabbbabcccaaacacbcabcaaaabaccaaaaaccabccaacacbccbbababaabbbbbcbbbbbbcbcaabbaacacababacbbacacbcccabccbaaccabcbacbacacccccbacbbcbbbccccbcbbccbbbbaacbcacabbcbbccbbaccbccaacaabbaabaaaaababbacccbbaabcabacccacbabbacbcccbcaacaabbcabaacabcccbbbbccacbbaccbcaacaacbbbccbcccbabbaabcabcaccaacabbacaabbcbacbbbbcbbabccaacbcabbcabcccbbbaabaccabbbbbbccaabcabbbbcbabbccbcbcaccaccacacbbacacbbbaabcabaaaaabccaccbbbccaaaacbacabcccacacbaacccbcbbabbcaabcababaccaabacaaaaacbcbbacabaccbcaaacbaaccacababbaabcccaaabaacbbabcbacaccbabbcbcacbbcaacaaabccabacacbbbccbcabaabaccbaacbcbccbcbbabcbabcabccaacbbaaacacbacbcbaaaaaabcabacccabccbcacbbabbccbcabacaabacacaabbcbacbaccbbaccbabaaacabbbacbcccaacbcbcacabbbbcabaaaabbbbbcaccbbbccbbcabaacbabcaaabcacbcbcaabaababacabaacabcccaababaaccaaaabbcbbaaccaccaaccbbbacbcbccacbcabcabbbcbaccccbccbacabacabaacabcacbbcccabbbbcbacbbcbbabaaacccacabacbccacbabbbbbaaacabbbbccbaabccacacbabaaccaccabbaabbbbbbbcabbaaabbcbabbcbaabccbbcbcaaaaccbbaccacaaabcbbaabbbcbbcabcccaccaaabcccaacacbaaaabcbccacabcbcbcccbbbccaabccaaabacbbacbbbaabcacbbacaabccbbccbacccabaabcbabbbbacbcbbacbabacabbbccccbbacaaacbbccaabbbabaaacbcbaacaccaacacbbbbabbcbabbacaacbcbabaccabcabcaabccabccaccbcbbaacaabaaaccacaacaccaaccccbacabcbacacccccccccbaabcbabcaaaababbbcccbcaaccbacbabaaaaacbacaccbccabcaabbbbacbbcbcbbbababbcacabbacacccbababcaccccccabcaacabcbababaaaaaacabaccacbcaccccacbbabcccbcbbacaccbbaacaabcacacbaccbbacbcbabccabaaabaabacabbaaaacabacabcbbacacababcaacabaacbbaaacbbbccbaacbbbbcbbcbbcabcbacbbcbbcaccacaaabcccbaabccbabbccaaacacaababbccccbccaccabbccabcabbbabacaabccabbacbabcccabaabaaaccbbbbacabcababaaaccacaacbabbacacbccccabcbaaabcbbacbabbbabccaabaaacacacbcccbabccccaccabcbbbcbaaabbbaabbbaabaaabaacccbbabbbaaababbbcabbaabacbbaacabccbbbccabacaaccacaaaccbcbabbbbcccbaaabbabaabaccabcbcacccacaaacccacaabbcbccccbabbababbbcabaaaaaabcbaacbbbabacaccccbcaacabababbcccbcbaccccacbccbaabcabbcaccacbaaaaaccbacbcabbbcbbccabbaabcbbaaaacaaccacbbabaabaababcbbccacaabbabcaaccbccaacbbaabbabbcbabbcaaabaccbabaabbaacbcaccaccbcaabbcbacbcbbbacbbabbaaacabcbbaaabbaaccbcbcacabbbbccbbbcccaacabbababbaaabcaacacbbabbccbcabcacbcacbabcbccacbcaccbccbcaccbcaacbbbabaacbccabcaaaacbabcaacccacacabbbbbabcabacbcccbabccacccaacbbbcabcabaccccabcbbccbacbcccaaabacbbaaacccaababbcbaabcbcbaaccccbaaaccbabcccbccababcbbaabaaababacbaccbcbcbbbccbbbcbbbaaaacabcaacabaabbacaacbaacaccabccbbcccccacbabbbbacbcbcccaaaaaaacbabcbcaaabbcbacabacccbbcbccacbabaacbbacaacbaaccbabcbaacbcabaabbabbaccaabcaabacabcbaaacbaccbcacaacccaabcabcbbbcabacbccaacaaaaaacabccacbaccabbaaccbacaaacacbacabcaccabbacbaabbacacabacaacabbcccccbccbcccacabaacaaaababaacbacaacbccabbcaaabccabcabbabcacbaacacccbcbabbcbcbcbccbacbcababbabbaaccabbaabacbacaccabbabcbacacaccacbcabcbccaacbbbbaabbbbbbcabbcacccbccacbcabaabcabbccbabccccbcabaccababbbabcbababcbcbbbccbaccbaaabccbcaababaabbaabacccccabacbbabbbacaccaccabacaabbcacccccbabcabcbacacbabccbcabcabacbcccaababaabaababcabcbbaabaaccbccacbccccbbaccababccbaabbbbbbabbaacbaaabaccbbcacccccacabbaaaaccbaabcaacaaaabcccacacbabbacaababaccabcbccaccacacbaacaacbbbcbccbbbaaccbccbccbacbabcaabaccbabccabbbcabcbaccbabcaacacacacbcbcbcbcaaaabcbcbbabbabbcbccbbbabaaccbaabcacccbcaacabbbbccaccbcaabbcccaabbbbccbcabbabaacabacccbccbbbacbbaacccbababaaaabbccaabaacbbccaacbbbacabbbaabaabbababacbaaacaabacacaabaaababcbaaabbbcbbbbbaaacacaacabcaccaaaabcabccccccccaacaaccabcbaabccabbbacccacbaabbaaacbcbbcabcccababcaacbccccccbaaaaaabacbbcbcacbaabbbbccccccabcaaaccacbbbbabcbbaaaabaaaaaaabaaaabbcaababbcbbbabacaabbbacabaccabbbbbbccbccbbacbacacbbbcbabaabacacababbbccbcbaacbbbbcabbacacaccaacccbbbacbbababcaabcbbacacbbbbcbcaaaacbcabbabccbbccacbbcccaacababaaaacaccaaccaccbbaaaaacbaabcbbcacaaccaabcbbabaccbcaaaccccaacbababbbbabbbabccbbabaaaacbbbbbacbbccababbcccacacacbbbbabbccbcabbbbcbccabacbacbbbaacacbacbaabaaacbbcbabccccabcacabcaccccbbbccaababaccaccacacbcaacbaacaacabcacabbaaacacaaabaabbacaabaacccabbccccaaaaaabbccaaabaaabcacbbcbabbccbababbcacacaccbabbcabcbaccaabbaabaaacbbccaaabccccbcccbacaacacccabccacbabcbcbabacbccccbcbccbbcbcacacacccccbabbcacbabcbbbabbabacabcaaccacaaababbabbacbcbbaccbabacaccbbccccccbcbbbbabababacbbbbaaaaacaccbabcabaabcacaabbbbbbbbaabcabcaacaaabcaacccaababcbacccaaccbbbabcbcacabcbcbabcbcccbcabbaaacabbbbcabacaacacaaaaaabaccaaaccbbaabccacaacbbcccabaacabacacbbbaaaabccbaccaccacbbbbccabccccbcbabababcbabbbbccbcabbbcaccaabccaabaacbcbccccbcaabcbaaaabbbccbbcaacbabcaacaabcbcaccabbbbabcbaabbcbbcabababbbcbbbcabbcaaccbcbbcaacbaaacacacacaaaabaaacbccbbbbbabccbbaacbacbbccbbcababaacbbbbacacacbaccccbbbbcbbcccacaaacabbcbcbaabaccaabaabcccbccacacaaaaabaccbbaacbbabacbbbabbbabccbcaaaacccacabbabaaccacccccccaabcbaacccaacabacbabbbabbbcabcabababacbbbbababaabccbaccbcccabcbcaccbbbbbacaabbaacacaaacaabacaacbaaccababbcbaaccabcbcaacaaabbacacaaacacabaccabbbbbccabbacbbccaaaabaabaaabcaccbcacacbcaababbbbcbacacbcbcbcbbbbcbaabcbcccaacbbcaaacacbcbabbbaaaaaccbcbaacbbccbccacbccabcbcacbbbbbcabbbbcbaccabaaccccacacaaacccbcbbabaccabaacbbaacbbccaaaaababbccbbcabccbacbbccbaabaaaaccabaccaccbccbacbabaacbcbabacaabcacccaacabbbbaaccacbbcbcccabbbcaaccabaaaaabcaaccbccbbabbccbbcabbbbaabaccaccabcabaaaccabbbccabcbbcbababcccbcbcaaabcacbcbccacbbbbbcababbbacccacccabbacbcbbbacbabcbbaaaaacccbbbabccbcabbaaccbaabbbccabbaababcabcbcccacabcbacccacaaabcbbbcabccbacaaabbbbaccbbcbcacbbbbbaccacacabccabaacbbcbccabcbbcbbbcbbcbaabcbcaaacbabcbabcabbbabbcabacabaababcbbcaccaaacbbabacccaababbccccaccbcccabababcbbbbbbaacbbbaccaccaaaaababbcbcbbbccbcbbbbcaaacacbacbbabcbbacbababbccabcbbcccaaacbbaccaaacababbccbbacababbabcbccaacbbcaabccacbaacaabbbccaccaccbccbccbcaabcabacccbbccababbbbaabcacbacbabbbcbbbaacbabaacaababababccbcabbabcacbbabbabaabcbabaabaabbbcaacccacacbbabccaabaabcbaccbcbcaaacccabcaacacabcaaaacabacbbcabcccabbccbbbccabbabaaabacabccbaacaacacababaaaaabcaccabccabbbcbcabbabaccbcaaaaaaacaaabcabacacbccaababbbbaccaabbcbabbcccacbacacbbabaaaccbccbcbcbcccbcabacbccbacccaaabcbbbbaccaabaaabaccacccaacacccbbcbbccacabaaaaccccabccccaabbbbaacbcabbcbababacbababacbbaacabcccacbcabaaabacaaccbacacbcbccbccaaccbabaccbabaabccacbcbcbcaaacabcbabacabbbacacbbcaacbbcbcacccaacaaabacbbcccbabaccbaabbabcbabacccaabcabcbcacbbaaccbbcababbababbbbaaacbbcbaacbcacbbacbaabbcbccababcbbabababcababccbbabbababcbabbaccaaabbcacaacacccaabaccbcaacacbbbccabacacacccabcccbbccabcccabacaaaccbcccbaaacaccabaaababccbcccbbbabcbcbbbbbcbcbacaabaabbabcabbbacbaccacbaacabacbcbbcaccbccbbbaabcbcaabbbcabaccbaaaabccacbbbcacbaaccacacbccbbabacaaaacabbaabcaccbcabcabcabcaabcbabacabbaacbbcaaacaccbabcaccbccbacaaacccacaacaaccbabbbacabcccbcaaccbcabccacaacacccacaacbbbcbcababaabaababcccbcbccbabcccbbacacacaaacaabcbccbcaabccaaaacbcabbcbabbaaababcaaabcbaaccccaabaaaabbbbccbbbcabacaccaaacaaabbbaabbaaacacbcbbcbbaccbaaacbabbccacbcbababbcbbcbbcabbbcabcbaacacbbbccbcbccbaacbbaaababacacbbbbbaacabbbccbabbacaaccccbaaabbcababcbcabaaccbbcabcacbcaaabbcbbaaabbabcbbbbcccaaaabbabbcccbbbaabaaabcbbaaabaabacaccbbcccacbaababcbcbacbaacacbcbabcbaaaaaacabbcbccabcabbccbbcbcaccccbcbccaacbabbaabacbacababaacccaabcbacbcaabcabaacbbccbcbbacbbcbbcacbbbbabbbbbaaaaacccbbbcabcbbccacbacabacaaaccbbcacbaacbbccbbcccbbbaaccaaabbbbaccbabcabbbbcccbccbacccabbacacccccaccaacbacccaacccccbaaacbcccaaabbccbccaccccabaaccbccbbcabacacbbbaaacaabbbaaccabaaabacabcbcaaaccccbacbcbbcabbacbcacacaccaacbbcaaabcbaaccccaaccabbccaccaaababbabbcacbcbbcbcacbacccbcbbcaabcabccbaaacbacbbccbacacbaabcccaabbabbbcaacbcbccaccbabacabccccacbcbaabbbacbaccaabcccabbabcbbaaababbabbcbaaaaaacacaccabcbbcabccbbabbbcaaaaabcbbaaaaacbcabcaaacbcacabccbbccbabcccabbccabcccbabbcaacabacccacacaacbabbcbbacbaaccccccaaabcbacbabbaabbacaaaacbbabcbccaaccbacacaabbbcabaaacabcbbcaaaacbcbacbcbbcbcaaaabbbcabccccaaaccacbcccbcaabbabbcaaaabcabcbaccccbcbcaacaaaabbcbcabcacabaccbbcbcbbaccccbccbaabababbcbacbcbaccccccaacababbbaccccacaabbcaaaacacbbcbcaccbbaccacaaccabbccacccbbccbacaccbbbcbcaacaccaaccababccbaaaaccbcccccacaabacbcccabbaaccaccacababaababaabbabbcbacbcbbbcbbabbcabacbbbababccaaccbbaaacaaacbababbbcbaabbcbccacbcbcbaaabbbaaababcacbbaccbaaacbccacacccabcccbaabcbbaaccbabaacccacacbcbcbacacabaaccababbbbcaabcbccbcaabcacccacabacbcacababbbbbbcbacacbbacbccbcabbbaabacbbbbccbcbbcbaaabcbaacacbbababaaacbcbbcbacccbccaaacccacabbcccabccacccacccbbbbcacaababbbccccaaacabcabcbbbcbbbcbbacaaabbcbcbccababcbbbccaacabcbcaabcabbbbababbcaabbcccccbcacaccbaaacccabbcaaabcababbcaaabbbbbcabbbaabaaabbcacccacacacbbaacabccacacaccbacbacbbabbabbbbabaaaccaaccbcccbbccabaccaabbaaabbccbbaccbcccaaabcbbbcbacabaabbbaacbabbbaababbcbcbcccbbaccacacaaabcbbbaaccbbbcbccaabbbbcabcbbccccbbbcbbaacabbccaacbabbcbbcaacaaaacacbcabbacbbaabcbbcaaabcababaabaacbcacbcacbacaacabbaaacaaaaaaabcbcbbbbacbbaaabcbacaacbcbcabbbcbaccaacacbbcaccbababcaccaaacbacacbbcabcbabcaababccbcbcbaaaaabbbbbcaccbcbaacacaaacacbcaabacbcccacbaabbccbbabcbacacabbbbcbcbbabaacabcaabbcbcaaccababaabacbcbbccbacccacaccabaacacbcccbabbcaacaabccaacaaabaaaababbcbaacacbaaaccbcaccbbababbbbbccabcbababbabaaacaabcabbabcbbcbacacbabbbacbaccacccabbbbacbcaabbbacacbbcabbacacaaabbcccccbcbbccbbcabacabbaababbabbbcaaabcacabcabcbbcbbabaacbaccccbccbcbaccccacbacbbcabbcbabcbbbcabbbacabbacabccabcbbabcbaacccbababbacabcbacabbcacaaabaacacccabccacaaaaaacbbacccbbabacaababcbabacbccbcacccabcbcbcbabcaccabbacbaacbbcbcaacccbacbaaabcaaaaabacacbbcbacababbbccaababbaaabbbaaabcacacbacccccbaccaacacbcccaccbbabaccbcbcccabbcccbbaaacacbabaccabccacbbaabbaacbaabcaacabcaaccbcbcbaaacbcababccbbaacabaccbcccccbabccbbabaaacacaaabbbccaabcccccbcbcacacbacacacccbbbcacabbacaaaacccababbccccaabacaccbbabacacacacbbbbccbbabcbbaaababbcccbbacccbaaabcccccbacaccaaacacacbcbbcccbacbbbcccbcacbccacbbacaccabbcbbaabcbbccbbcbaaacacacaaaccbabababcbcaaaaaabbaabccaabaccbcbbacbaaacbcaaccbabcaccbcacbabbabbabccccaabcaccaccbababaacabacabcccbcaacaabcbbcbcaabcabaccccbbccbcaaabbcacabaaabbaaacaccabacccaabbababaacbbbabccabaaccabbabbaaccccbbbccaaaaabacbccaabbacabccabaacaaaaacbbccbbaccababaccbbaccbccabaabbccbbaacbacaaabaaabbbbaaccabcaacbcbcbbcaaccacccaabcbbbccacaabbbcaaaccbacbacacccaabbccbaaaaaaaccacccbababbabacaacbbbcacaabbaccaabcaaccabacbbbababccacbbbacbcccbbabbcbbcbccacbabbcccbbbcbbcbcabbababababcaacbacacbababbbbcabacabbbaaabacaaababacbacacbbcccccccacbcacabbaccaccccbbbbbaaacccccbbbbccaacaabcaccabaaccacabcacbaabcbcccbaccaccaacbabaccccbcaaaccaabbacabacabccabcbcbbcbacaaabacacaccabcbbbaaccbbaabbbabaccaacbbcabacacacaacbbcaacabcbcbcabacbbccbbaacbcbccbccaabbbcbcbcbabbacabcbbaaccbaccbabcccabaaabbcbababbaccabbcbcaccbbcbabbaaaacaacaacbcabcbbcbcbbbcccccabaaaaabbcbaaaccccabccbabcaabcbcaabacabacaabccaaaabbaccccbcccaabbcccacbcaaabcbacaccaaabbbcaababbabcaaaaccbbbaabaacbbababbcbbbbcbccbbbcacbbabcccabaabacaaaabbacbcaaaabbaabaacabbcccccacaaccacaaccaccbbccacbbbabbcaabbbcaabcbbcaabbacabcbaabaacbaacacabacabbbcbbaccacaacbcbaabaccbaacbbbacaaaacbbcbbacabbbcbcbbbacaabcccbcbaabaabcaabcbaabccbbaabcabacacbbbcccaccacaccbcccbacaccacbaaaaacccbcbcbccccccbacbabbbcbbabbacabcaacabcaacbcaccccabacccbcabccbcabbcacaababababbcccabcbacbcbbccbbabcbabbccbbcbbcacaabbabcaabbaaabbbcbcbaacbaacbcaaaaaaaacabcabacbbacbbcbbacbbbbbaaababcccccbabcaccaaabbbbcaabbacbcacabbaabbcccababcbbbcacbbbababbcbcbaabaccabacccccabcaacacabbaaacbcabcaacccccccccaccbcabbcaaacbbabaaaacbccbbbaccbacbccbcbbacbaabbbcccabbabcbbbbcbaaabacabccacabbbcccbcbcccabbbabbbcacacacaaaccccabbacacaccccabbbcbbbbcbcbaaaabaacaaabbcaaabcccccbbbcbacbcbcaaccacacabbbbcbabbaaaccbaccaacabcbbcccacabcacaaacbabbbacaccbabbbacccbaacabbbacabbcbaabbabcabcaccbcaccaacccbbbcbccbbbbcbcbcbcabbbbcacbccababcbbabaacacbabaabcabcaaaababbabcccccbbbbabcccabacaabcababbcacabbccbbaaaaabacbbabcbacacbcaccaababcbabbcabbcbccaaccabcaabacbacabaacaaaaacccaabcbacabccabcabcbaaabbccaccaabbabbcacbacbbbbbabcbaacacaabbacaabbbbcabaaaaccbcccaabccabbaacaccbcabababcacacabbacccbccaaccabbacbaaabbaccbacbcabcbbabccbcacbcacbcaaaabaccbcbaaacabbacabbcbbcabbcbcabababbcbaaabacbcccbcaccaacaaaaaababaaabbcbbaaccccbcbcabbbaaabcbabbcccbabaccacabaabbacbcaabbbbabcbacbcccbaaccbaaacacaaabbcabbaabcaabcbbacbccaabacaccbcbbcabcccbccabaacccbbacbcbccbbcaaaabbbcacacbabbaaaacaacbbbaacaacccaabaacbbbcbbbcbaaacacabcccaabababcccbbccbcbbcbbbabcbbbcaabbcaccabbcbcabaccacbccbbcaaaccbccbcabbaababbbbccaacaaccbacabbbbcbccababbcbbcbaacacabbabbccbcbcbbcacbacaabacaccccbacaacabacacaacbacacacbabbaaaaabcbbacabcbcccbbaacbbcaaaabcbabaabccbbcbccabccaaaccbbcbcaacbcabbbabacbbcbbaacbcbcacbcccbabbbbbabbacbcbbbcabacbaccbbbabcacbccabbabacbcaabaacabacabbbbaaabaaaaacbacbcbabbcbaabbabcbbbbacaaacaaaaaaccacccbaccbacacbbbcbaabcbbcccabbaaaabcaccabbcccbbaaaccbbacccbcaabbcabbabbbabcaaccccccbbcabaabcacbbabccaacabacabacbccabacbaaabaccbbcccabaaacacbaabaacacbcbaaacccbbbbcacbcaaabccccbabbabcccacbaabcbcccbbbbccbccbcbbcccbaccbaaacbccbcccbacbcaaccccccabcbacabbbaaaaababcaaabccbabbababccabbacaaabcaaaabcabaacabbacabcaabccabaabaabaaaaaacacbccccabaaacccccbaacaababcaabcbbabcbcccbcbcccbacaacbccaababbcbaabaaabaaaaaccbcabcbccbacbbcaacbccbbbbabbccbbccaabbcaabbccabaacbabaaccccccbcbbbcbabaaababcacbccaacbbacbbaaaaccbabacbabaabcaaccabaaaaccabcbabccbccbabccabccbbcbcaaaaaccaaacabbaccbaacbabcaacaccabacbabaacccbbbabaaccbbbbacbacacabcaaabccbaaabacbababacacabaacbccabacaabcccbbbbbcbbbacccbacccbbaabccacbbabbcacbaaccbccababccabaccbaabaacbbccabccccacbcaababacbcababbcccccbccccaaabccbababacaacbbcbaababacabbcaacacbcbbbcbabcccacbbaccbcabbcbbcaccccbcacbcbbabbbcbbbabbcccbcaacaacbccabaccbabbbbbabccaaccacbaccbccabccabcccbabbacbcbabaccaaacabcbccbaccbbccbccccaabbbaabbacbcbbbaccabbacbbaacaabacacabaabccabbcabaccbabcccabbabbbcabcccbacbbcbccacaaccaaccbbcbacbaacaccaaacbbbaacbbcbbbbbcaabaabbccbacaaacbaaabccabcaccacacaaaabcbbaaacbcccabcbcbabbacbaacbbaccaacaaacbbbcacccacacbacbccacaccacaacbcaabcbbaabcbacbaccaccbaaabcacccaaabaabbcaabacbbbccacbbccccaacaaabacbccbaacbaabbacbabaacbaabaaacbabcacbbbababbcaccbcaacabbbacaccbcccbbbaacaccbacaaabacbabcacaccacccaabbacaabaacaacbccabaaabaaccccbbcacbaccacaacaabaccacbbbcccaabcabcccbbaaabaacccbccbccaabbbcacccbaaaccabaacbcabccaccaccabbbcbbccaccccbbcaccabcabcacabbbcbbaaacaaacbcaaacabbcccabbbaabccaaaaacbbcbacbbacccacacbbbbcabbababcacbaacabbaaccabcbababcaaacabcbabcbaacbbccccaabccaaaccbbbacabbbababbbacabcbcaacacacbabbbaccbaaaaaccabcabcabbabaabbcbcbacbabbbbcabbccbaaaacabcaacaacabaaabcbbcbbcbcabbbcaacacccbaabbbbaacbbaaaccabcacabbbbccaaacccbacbccabbaaacaaacabbbcbbbaabbcccacacabbbbcbacababaaabbccbcabbacbbcbbccabbcabcbacabccabaacabcacaabbcbcacacabbacbaacaabbcaaababacacacababbcbaccccabcbabbcaaccabcbbcacbbbbababcabacccbcbabaabaaacaaacaacbacbccbcacccaccbacbcaccaacabcabbabacccbcacaaaacaaaabbaacabbccbabcacacbccbbcaabbacacaaccabccaaabbcbabcbacbbbbbccbaaaccccbbbbbaabbaabbaaabbaacabaacaccbcbbcbabbabcaccbcaaaacbcbbabbcccbbcacbcabcacbccbcbcbbaabbabcbcaabcabaaabccbbbbaccabbbaccbaccccaaabcabcbcbbacbbbbaabbcbacccaacbcaaabcabcccaaaaabcaaacabaabbcaccaaaaccbccbaaaacabbccccaaccbccbcaabbbbbbbabbbacbcacbbbaaccacccbcbabaaaabababbcbaaabaccbabacccacababaaaaababcbbcacbcccbbccbabaaccbaacabaacaaacbabcacabaaacccbbacccbbbccbcccbccbacaabcaabaacbbcaccccbaaabbbcacbbbcbaabacaacbcaccccbcaabcaacbbcabbbcbcacbabccccbcbabbabaaacccaacbabccacaaaacaaaaaacaaacbacaabbccbbaacbbaabacacbbbbaccbcaaccbbbbccccbbcbbcacbbcbcbabbcaccabcbababbcacccbcccbabacbacabbcaabcacacbbabccbbaabccaccacbccccbbbccbacbcaaccabcccaacbaaaccbbbcacbbaabbcbbabacbbbaccacccbbabccbbcbcacbaccaabccaaaabbacbabccccbccccbaaccabaaacacbcaaccaaabaacbcaccaaaacbbacbcaabbbacbcbacacbccbbabaaaacbccbccacabbaaaaabacbbccbcccbacaababaacacacabaccbbbaaacacbbcbabaccbbacaaccaaacaccbacabbbcacabcbbaaaccaccbbbaccaabbacbbbbcacbaccccbacbaabaccccbcccbcbaabbcbabaacbaccccccaabbcacbacabaccbccacaacbbcaacaccabacaaacacbbcbacbabbbcbaabbabccbbacacbbcaacbbcbaccababbbccacacbbabbcbbbaacbaacbbaabbbabcccaacccacbbbabccacccabcccccaacacbccaabacacbbbbbbbcbcccbcbabbccbbbaaaababccbccacccbccbccaaacacacbbacbaabbacacccbbcaccbbaabbacccbabcbabbbbccacacaccccbacbbabcbababbaacacaaabbaccabacacaaacbbacbccaaccbccbbbabbbabaacbbabbcbbcccaacaaacbbcacaabbbcacbaacaababaabbbcccccbccabcbbbccaccccccccbcbaaabcccacccccacbaabaaccbbccccacbabbbacaababaacabcabbaaccaacaacaaaacbbcbbcaabaabccccaacbcabbcaacaccbcbacbbbccacbcacacaabbcbbbacaababbcbbcabbababbacbccbbbccbacccbccacbcbcaabacacababcccaaabcbaccbcbcccbaabbabaccbcccacacbcacaaaccbaacaccbbaaaabccacbacaaaaabaacccababaabbbaccbaccababaababcbbbbaaaabcaacbbcccbabcaacbaccabcaaacabbacabbcabacbbccbbacabbbaabaaaaccabaccbbabacaccbabccacbccaaabaabcbacabacbbccbccbbabaabbbaccbbcacaabccacacbbbcbacbacbbabbbabcbbbccbacacaabaabaabbabcbccaccbcabaccaacbaccacabbabcbbcabbcbcbbbcbcabbccccacbcbaccccacccaabacbbbbaccbbccbabacbabcbccbbabaabbbcabbcaacbbbcaabcbacaccbbcbccaacaaabbcbbcccbcbccbccacacccaacaacbacbcbcbabbabaccbcbcbbbcbccbcabbcbbbaaabacaacbbcaacabbcaaaaccaabaababaabacbbbacbacaaaabcbccbcccaabbcacacacaccccabbabbccccbcbcaacbbcbacbaacabbabbcccbbabbaabcccaacccacacccbbacabbcaccacacbbbcacaccbcbcaaccabbccbccbbccbabcbbbacbbbbbcccaaccbcbbaabcbacbbcbbbbbbaaacaabbbaaaacaabccbabcbabbaacababbabccbabbbbccaacabcaabcaaabaacbbaaccbcbbccbbbcbbacbcacaabbabacaacccaaacaccbabbbccbcaaacbaccbcccaaabcbcbabbbababaccbbbaacababcacbcbaabcccabccacabacbcaabcaaccbabbcacccbcccbbaaaacaabcacccbaaaacbcabbacbbaaacaababaacaaaabaacbabbacaacbbbacccaaaaaaabababccaccbbcbaaacabbacbcbbcacacbacbbccbbacacccbbaaccabcccbaacbcbcbabaaacaacaaacccccacbbcbabcbbbabcbabcaaabcaccaccbcbbbaabbcbccabcacbbaacbacabbbbcbaaccbbabcbcabbaacbbbcabbacbcaabaabbbcbcacccaccaacabbaaabbccacbcbabccccbabbbcbbccbbccaacababaaaabaabbcababcaacbcbcbbabacabccbacaaacbbbbacbaccbbbbcbccbacacabaaccabbbbacaaccbaccbacbbbcabababcbbbcabacaaacaabccccbaaccaaacbaaaccaaaabcbacacccbbbaccbbabccabbbbacbaaababbbcbcbcbcabababcbabcaccaaaaacaaccabcbcacabbbbbabaababbaababbcacaccabcccaccbbaaabbbccccccabaabbaabbbbaccaacabbccabcccacbaacbbcbcbaaabacbacacacaaacbcacbcbcacabccabcababcabbcbcaccaabccccccbbacccbbacaccabcacabaccbacccacccaabbacaacbccbbaacccbbaaccabbbacababcbacaacaabaaaacacabcbabcbcaabcaccaabbcbccccacacccaabbaaaababaccabbcbaacbabcbccacbbcbabcabbcbccbcaaaabaabaaaacacccaabbbabacbcccbacbaacaaccacaabbcbbaababaccaccaaabbccbccbbcbaaacbcaaabbaabbbaaabbbbabccacbccabcaabccbacbcccbaaaabcaacbccccbbbbbbcacabcbcbccbbaacaacabcccbaabcbacabbccbbabaaccbbacaabcaaccccbbbabcabccbbcaabcacacbbabaaaacacbcccbcbcccacccbabacbacbacacabaabcabbbcccbabbbccacbccaacaccacacababcbccabbcccbcccbbbacaababbccabaaacbbaaaacaaabaaacbbabbabacaccacbbcabbcbaaaacbbbcbaabcaabbcbbccbababaacaccaacbbcbacaaaaabacababbcbaabccacaccbbacaacccabbcaacbbbababbacaabcccabbbbbabcaabaabaaaababacaacbacbaacbcbabcabcbbaaccbccabaaaabaaabcbabacccbbcbbcbbaccbaacccaacbccccabaababbbacaabcbaacbaacbbbacaabaccbbbaccccbcbaabccacabbcacccbaacbbbababbabbacacbacabaacccbbabbbaabbbbcabccbabccccaaabcaaacacbcaccababbcbcabaaccbcbacabcccaccabbbbaacabbaccbbccabcbcaccabbbcabcbbbcacbcbcbbbacbbbbbbbbaccbcbaabaccccbbbbaccbbccaababcbbbccbacacaabbbbbabbbcaabcbbccbcbcaccacbcaccbbbcbbaacababbcaabccabbbbcbaabbbcbabacbccbcacaccaacababcaaabacabacabbccbbabacbcabbcaaccccacaababaaabaaabaacaaacaaaccacbbcabbbbbcacacbabaaaaabccbcbbbbcaccaabbbaccbccaaaaccbcbbacbbabcccaacbaabcbbccbcababcbcbcbbbbccccacabbccbbccabcbccbbcbababaccabacbbcabaaacbbbcaccacbbcabaaabacaccccacccacbcbcccabababacaabaaacabcccaccbccbabcbcbaabaaaaabbbabcbabcacccbbccbbbbbbcbacbcbcababcaaccbaaaaabacabbbcabccbbcabaaabcaaccaabbbaaaccbaabbaabaacbbcbabaacaaacccabcbbcbaacaaacacacaacaaabcacbbbbbcbabacacabbbccaaccaacaaacbacccacabbaaabbbcbccacbcaabcccbabacabacabcbacacaabaaaabcaccaabbabcbcbabbcaabbacaacbcaabccacbaacccaacbbcbccacccabaccaabbbcbcabaacbbcccccbccbabbccbcbaaaaabbccabbcacccabbaacbabbababcbccbcacbacbaccbaaccccabcaaccbaaccabacbbacaacacbcbbcbacacabbaacbcbcabacacaaaaaabbcbbbcbbaccbaababbcabccbabccbccabbabacacabbbcabbbcccababccacabaaabbabbccbbbacacccaaacaccbaccbbacabbacaccabaaaccccaaaacacaaacacbbabcaabbbcaabbabacbacaabcbcababbbbacababbccbaacabcacbacaaabccbbbbbbcccabbcbbcabbcccabbccccbcacbbccbcbbbabababbaaacbcabacabcccabaaaabbabbaaabacaacbbcbbcbabcacaabaaccbbccbbababccacbaaababacccacacbccbaabaababccabccbcacaaababcccbacaaacabcbbbacbaccbcbbacbabaaccaacccaaabbaaacaaacbccacbcaaaacbabcaabbbcbaaaaccccacbcbcbaaccbbcaacccaaabbcbbaabcaacabccaababccbbaaacbbaaacacacbbbccabbacbcccbbaaabccbbabcbcbcccbaaacacccbbbabccacaccaacbabccababbacccbbcbbbcccabbbcabbaabbaccaaccccbcaaccabbcbcbbbabcaaabcacabcaaaccabbbaacaaabaabaaccacbcbbabcccbbacbcacbbacbaacacabbcbbbabbacaabaaaabbbbcacaabccbaaacbbaaaabbbaaccbbbaaaabaacabbbbbaacaacbacbcbaacbccaccbbbccbcbcbabccbbbaabcccccabaaccaaaccbaababaaacabbbcccaaacccbcbabbbbcbaaabcbcccbabacabccccacaaccabacacaabcaaabaacbbabbbacbcccbcaacacbacbacbbccbcbbbbbabbbbaabcaabbbacbcabbbaccbbcacbacbcacaaccbcbbbacccbcacbabacccbbcbbbcbcacacbcbabcaabbaabbcaacacabcaacccacbbbacbbababbaccabcabbbbbcacbbbbcbbccbabcbbbabbbabbccabcbbbbaaabaaaabbbbabaccbbbbaaabbbaccbcbaaababbbaccabaccaabbbbbbbbcacaaacaccacbbabaccccabccccacabababacaabaabcbabbaababcbccbbcaaacaaaabcacbaacbbabacacbabababacabaccabaaabbacaacaabaaccaaccabaabaacbbbabcaaacababbaaacbbbcbcccbbacacbbacbcbababcbacbcbbaaacacccababacccabbccaaccaaababcbcccacccbabbccbaabacabaaaaccbbaacaccaacbbbbaaaacbabbabcccbcbcaaabbabcbbcccbcabacaabbcbccbccabbabccbbbacaaacbbbaaacabbcaababbbbbcacababcccccbbbcbcccccccbacbbbbcbbcbcbcbccacabbabccabacabbaccaacabcaaaaacabcccacbcbcbacbbabbcacbabcbbcccbabababcacababbbcbbabbcbabbcbbaccbcbcbacbcbbaccaaacaccccaabcbaabccabbccabbaccbbbbaabcaaabcaacbccbacbacacbabbbbbcbcbbcbabccbccbababcbacbcbcbaaccacaaaacabbccacacbcbbbcbbacbbabbbcbcbcbabcabcbcacabacaaabaabccacacbbbcbbbbacbcaaaccbcbaaaccbbbcbbbbccccaabababaccbaacccbbbccbbcbababccaacbcacbaacbbcccbcabcaaaacbbaacabaacacbcbcaccacacaacbbaccbaacbabcabaabcbbcbcacbbbababbcbccbaacbbacbaabbcabbbbaaccbaccabaabbbcaccaaabcbaaababacbabccbbabbcccbccbcaabaaaabcbcabacacaaaacbbaaacccacaabbbacabbaacacbcbbacacabbbacabccbbbbcaabbbcacabbacbccabcacbbaaabbccacaccbbccabbcbabbaabcbcaccbccbaabcaabaaababaacbcccacaaacbcabaacbbaacacbcaccbacbaccbcabbbcbaabbbbcacabbcabbbabaaccbcabaababababacbabccaaccabcaacbabacabcbabaaabaccacbccccaabcbbbcccaacacbabccababcacaabcaccbabcccccababcacbbcaccbcaabbcbacbccbbabaabacbacbbcbcacccbbbcacabbcabacbccacbabbaaaccbcbcabaccbcbbbabbcbbccabcccbcbbcbbaacacaabacaaccabbaabacbbbaaccbbcbacaaaaabccccaababcbaaccbacaacabaccaaaabbbcabbcbcbccacbabbaacbbbcaabcacabbccaacabbbccabcaacbbccccaaabacbcacccbacbbbbbbbbbcbabcbaccbcbaabbbaabcaccbbcaabcbbaaaccacbaccccccacccbacbcbbbcccaabbbaaccabbcbacbaacbcbcbcbcabaaccaccbcccbbccbbccabcaaaacaacbaaabaccbcbaaabcbacbabbbcbcaabacaaacabababccbbccbcaaaaabccabbcccccbcabbbcabcabbabababbbcabcbcaaacaccabbbcabababaaaaabccccacaccbbacabbcabccbccccaccbacbcacbaccbacbcaacbbbaccabcaacbcaabbababcaccababbcbbbcabccbacbacabcacbaccabacacbbbcbbcbbacababaabcccaacbaccbaacccaaababacaacbbccaaaabcaaaccbaacccbccbacacabcabbcbaaacacccbbbcccbabcbbacbcababccaababbbcccbcccccbbaaaabcbcababbbbbbbbcccaabbccacbaabaaaaccbcacacccaaacaccbaacbbcbcbabbaaccbbacbaccabccabcacaacbacccbcabaaccababcbabcbaaaaacbbcbbcabcbbbbabcbbbbaacbaabcaaacacccaacbbbbaabbccababcccabcabaaaccbcabcbabbcbaacbacbcabcbbaabccaabbbbabaaacaaccabbaaababbcbaccbacabbccbccaaabcabbacabbbacbbaabbbaaacbaaaaaccaaabacbbbbabcacaaaabccbbccabaccabaccbaabacbaccababaaacacacaaabbbbcacbcbccacacccabbacaccbbaccaaccbcabcabcabcbaabacaaabcbbacccbbccbaaaaaaccccaacaaccbcaccbbbccbbccbabbcccbabcccabaccbbbbaababcabbabbccabaabacbbaacbabbcbbacbbabbccbccbacbacbcbabbacaacaaabcaaabbccbbbcaacabcccababbcbbabbcbbacacbacbbabbaaacbccbccbaabbcabcbaaabaacaccccabaabaaccbbcbcccabbcabbbabccabcbabacacbcbcaabcabbacbcaabbaacabcbbcacaaaaacabbccbbcaacaccccbcbccaccbbccbbccababcacbbbccacabacacbbbabacbcbabccaacaabaccbcbbbabbcbbcacbcbacbcbbcbbbabacbcacbbbabbcacbbbcbbbabcbcbaccacbcacaccccaccbcabcccbbbaaacaabaccbbbbabbccacbcabbbbccbaabcaabacccbcacabbccaccacabacccbabcaabaaccabbbabbaccccbbcabcbcbbcbcbcbcacbcacccaabbcbbccaccabbacaccaccaabaacbbbccabbbbabbabcbccbaccaaabcabbabcbbabccbcbcbbcaacccaaababcbacbaabcccaabababcacabbacccbbccacaaccabababaabacacbacbccbbcababacccbaaccccbaabbcbcbcaaccbbaaccbcaaabbcaaacaccacaaccaacbccacbcabaccaabccacacacaababccaacabcaabbbbbcccaaaabcbbbcaccbaaabacbacbcccbabaabbbcbcbabcccabbccacacabbbcbabbcabbacbabbcbcabcccbbcbccbcacabccaabbabcbabacabbcbacaacabbacbcccabbbcacbbacaccccbacacabaabbbbbacaacaabbcbbabaaccbabcbcccbcbabbbabcbabccbbbbbcacaccbccbababacbaacbcababbcbbcacabccbacccbaabbbcaabbaaccbacbaccbbaabcaccabcaacbbbaacbcbacabcabaabccababcbacbbcabbbaaaaaacbbcaabccbabcabbbcaabbaabaaaabbcbacccbcbacacbabbbabbbabacaabcccbbabbcabbcaaccbaaacbaacaaabaaaaaacacaaacacacaabaaabcbabacbcabaccaabbcaaacbaccacaccaacbbacabbbbcbbaccbbaacbbabcaaabccbabbcabccaacbaabcbcccaacaaacccbbbbaaabbbacacacaaaabcccabbcccbabcbbacbbccabbabaaabcaabccabaabaacabbacaabacbccabbcbaaaabaccccbccacbabbaacaaacbcbabacbbcccabaccabcbbacccaababcacabacbbccabccbbbccccbbaacacbaccbbcbbbabcbccccabbabcbaabaababcacabbaabbcaaaccacbbbacbabbabcccbcbaabbaabbacaacbccabcaacacbcbcbcccbbbbcabcaabbcccabaaabbcbccaccbabccaccbbaabccacbbaabacaaacabbbbbaaabbcbacbaaccaacacabaaaaccaaaabcbccaaaaaabaaccabaacaaccbacaacbacaacbaacbabccbccbaabcbcaccacaccacabaababbbbcbaaabcccabaaaabcbabaaababbbccbabaaaacbaacbacabbcbabaabbbabacacacccbbcbaaccbccbcaaccbaabacacabbbabccbbacabbacccbbcaabbbabbbbccaacbbaaabbaaaabaccbacaccababbcbabcccccbccbabaaccabcabbbabaababcbabbcaaabccbbbbbbcaaacaaacbacacccccbbabaabccccacacaacbccaaccabbccbcaaaccabcabccaacbbacabacbcbbaaaacacccbabacabacbbbaabcbbbaacacbbaccbcbcabcccacabbbbbcabccabbbcbacaabacaaaacbbacbcabacccbcccaaaababaaacacacaaacbcacaacbcccaacccacbababbcbcbbbaaacccbaacabaacaaabbbbcbcbaaabaaccabbcccaccbaabbccabbbaacbbbacbbbcabcbbabbbbcbbbcacaaabcccbbaabccacbbaacaabcccacababcababbaaaabaacacccaabccaacaacaacabaccabcabbcbcbacbcaaabacbaccbbbcbccabccababaacbaabcbcabcbbbbcacaaacbaaabbacbbaaabcbcacaabcabcbccbbabaaabbbbbbabacaccbbaaccccccaacbcbcacacbcccaccbbbabaaacabbbcabbbcbcccbabacaccabcabbbcbbccbcaaccbcbaaacaabbbcbbacccabacbabbcbbbbbbcbcccbbabcbccbacbcaaaabcacbabacaccbcabcaacaaacbacacaacbcbccbaccbcccbbccbbbbabcbaaaccabcaabbccabacaacccabbbccbcabaaacabccaabcbccbcacacaabbcbabbcacbcaaacaccccbbcccabaabbcbbaaacaccccbcaaaccacaaabbcabaabbaaacbcbabbcbabaaaaabcabcccbccacbbbcacbbbbbbabaccccbbcbbaaaacbaccaacacbccabaaccccabcbbabbcaccaacabacbaacbccccbaccccabbabcabbbaabcaccbbabcccabaabccacbbbacabcaabbbccbaabbabcbbccaaacacacbcacbaabcbbbbacbccbaacccababbabbaacbaaaababaccbbcaabbbbcbccaacacccbbcbcbaabcccbabbbbcbcacbbaacacbcbccacccabacbbcbaaaacccbabbcabbaaaccacccbbaccccccbcbbcaaaccbacccbaaacbcbabcbabacabaccbaabcbcbbbcbbacbbbbcccbaccbcbaabbbccbbcbaabaccbcaaacccacabbaacabaaacabcaaacccbaabbabacbcbaaccccbbbcaaaacbaaccbaabcabccbabacccbabacbbbaaababaccaccbaccbbbababccaaabbbbaccccbacbcaaabcbbcabbacccccccaaaaaabaabbccbbbabaaccbcaaaabbbcbaaababaabacacccbaaaaaabbaccabcccbaaaaacacabcaaaaaaaaaaabcacbacbabcccabcacaabacabccaabcacacbacbbaaacaabaaaabaacbbabbcaabbbbcccacbacbcbbaacacbacbbcccbbcacbccaccccccabccccbabaaacababacbccccbbabacbabacccabbaacabacbabbbabaccabaacbbbcbbcabaaccacababbacbabccbaacbcaacabbabcabbbccabacbbbacbccaccbbaabccbccaabbbbaaacbaaaabbbbaabccbcbbbcccbbcacabccacacacabbcabccbbcccaccbabccabcccacbbbabcbabccacababaaabaacccacbbacbcccaabcabaabcbbbacbababacbaababbacbacbcbacaaccaccaabcacccbcbacacaabbcacbcbaacbcaaabaabcbbccccbbbcabaabbbbcabcbbacababaabbccabacacbabbbaacaccaaaaabacbaaabbbabbbcbbacaaccbbbacbaaabccccbcabaabcccacbacbaaacacbabcabcbcbaacbcbcbbcbacbbbabbbaaaaaaaacabbacccccbacaabbbcbccabbabbbabbbbbcccaacaacababbaacacbcacbcacbacbbcaabaccbbcabbbcbbacabbbacaaabcccacccbcbbccbccbbccbccbcbccbabcccbbaabcaccbaabacacccbcbccbabbacccbbabcbabaaaabcbcabacaacabababbbbbbacabcacbabbaabcbabaabaaccbabbbbbbacccbbcacbbbccbcabbacaaaaacaccacbbccabbccccbabcbaabcacaacabbacaabcccbaccaaaabaacacbbcccacaabababcccaabcbbbccabbabbcccaccccabccaccacbccbaabccbbcbbbbaaaaacababaacbabccacbbcbcbbbbbabaacaccaacaabbcacbcbcaccbabcbabaababbbbccacbacccaaccbaabaaccaccaccabbcbcbaacbcabbbcbacccaacabcacbbcbbcbacbcaccccaacbbacccabababcaccccbcaacccaababcaacbaaaccbbcbbcaabbaabccabbcbcaccbacbabcbacbaaccbbbabcabbbcabcabaccaacccbbbcabacababcabaacabacacaccacabccbbcaacbbbbaabbaabcacababbccacbacbcbccaccaacaacbbbacabbcbbabbcbcccaaabccbabcaabccbbcaccacbabbccbbcacccacbaaababaabaabacccbabccbbabcbcbaabbacacbaccbccacccbacbabacbbcababcbbbbbcccbccbcacbccabbacabacccbaccbccaaaccbccbcacccabaabcbbbaccacaaaabcabbbcabcbabbccbaaaabbabbbccaacabbcaaabcbaacababbccabcbcabbccbcbccabcccabcacccbabaaaaabaaccacbacbaacacabcbbaaacaaabbbbbbaccbbaccabbcacbcccaaacaacbabbbbabcbbcbcbaccaccbaabcbabcacaccacacbbacbcbbaaccaabaabacababacbacbbcabbbaacccbcbccccabbabccacaccaccbbbcbcbbbaaacbcacccaabbcaccbcbacbaabbbaabccacacccaaaccbbcbccbccabbbbbacacabccbacaacbbbaaacaacacbbbbbbaabacaaacbbccacacaaabbcaaabacabccaccbccbbcbaacccabacacbccbbaaaaaccbabaaacbbccbabaaccaccabbacabbccbcbbbacacccaabaccccbabaccbbcabcaacaaabbbaabaabcbabcbbabaaaaacbaccaababaccbbcabacbacaabaabcccbbbcacaabbaabacbccbcbaccbcacbbcbbbcbcacbbbcabcbaacbbcabaaccacbcccacbbaaabcabbccbcbbacaccbbbcccccbbabccccbccbabccbaaaccaccacbcaaabbabaabcbababbbcababcccbaabbbcbaabcacccbcccabaccabbbbcabacbabacaaacbaabcaacaacccbbaacaaababcabccccccaabcbbbcbcbbcabbaabccbbabacaccbaacbbccbccaaccabaacbacccaccabacababbbaaaabcaabbcacaaccccabbbcccbabbcbaacaabbbbcbcbbabbbcacacaccabababbaaabcbbcccbcbccbccabaaaacbbbbacbacaccaaabbbacabcaaccabccaabcaaaccaabcccabccacaabaaacbaabacaaaabcbabcacabbbcabaaaccbacabaaccbbbbcbbcabcbacacbcbabcbcbbcbcaabacaaaabcbcacbacbbcbacbccbbcbcacbbabccbbcbcabcbaccaccaaacbabbbaccbccaaaabacaaabccccacabcaccbbccacacbbbcbcbcbaaabcaaaccbabbcbcbaaabcbaabbababacbcbabbcbccbacaabacabbaaccbcbabbbacbaaacaacaabbbbcaccbbabbbabaccbbbbabaccccccbcbccbccaacbababaababbbcacaccaacaaaaaabacaacccbaacacacccbcbbccbcacbaccbbbcbabacbaccbbaaacacacbbaccbbaccaacbaccababcaacbccbabcabbbccacaabcbccaaabaabcbaccbbaaccccaaabcacabbbbcbcaabaaaabcbabcbabbccbabbcacbbcababacbccbaacabacbacaccacaaabbbbacaababaccbaabbabbccbaabbcccbacbbacbaccbccbbacbaaaccbccabbaccabacbaccccbacbaaacbabacabcbabccccbacaabbbccbaccbccbcccabaacaccbabbacbbaabaaacaaacbcaabccbacaccaccaaacabababccaacaabcbcabccaacabaacababcacbbaaccacbcaabbcaacababbabaaabcbbcacbabcbbccbcbbcbaaaaacbaaccabacbbbcabccabbbbcaaacbbabaaaaaaacaccccccacbacbaaabbcacaccbacabaabaaabcbabbbaaccbbbaacabacacabbcbaccbccbbbbabcabccbbacbcbcbbccccabaabaaabaccaabbcccbcaabacccbcabcaaacbacabbacbaaababbcbcaacbbabcaabbccbacccacbcbbacbccbccbaaccccacaaacacbcabcacbccbccbccbabcbbaaccababbacbbbcbacaacabcbbcbaaaaacaabaaaabbaabcbbcaabaabcbaacabacbabbacacababcaccaabcbbbaacbccbbacabcbcaccbacbcccacccaabccbbacaaabbaaabbcbcbcbccaacbabcacbcaaacacabccbaaacabbaabccaabcacbaaabaacbbaacbbcaabbbccbaacbbbaacaccacaaacbacbaabaaaabaaaacaaabbaacaccacccccbcbcaaacaaccbcaacbbcabbaaaaacbcccacccaaaaccabcbbccacbaaaaacbbbccabaaaabaababcacbcbaacccccaabcbcccacabcbcbacbccbabaabbcacaacbbbacbbcbabbbbcbaacbacaacbbaabbbcacbcbaabbcccabccaacbbbcbcaabbaabcabbccccacacacacaaabaaaccaaccacbcbcbaaabbcbabbbaccbabbbbbacbbabcabaabccababaccbbaaccabacbbbcbbcccbaabbbcccbccbcbcbbbabcaaaaaaabcaacbbbbaabaccbcabbccaacbbbaccbcbcbbbcbcbbaabaccabcacaccabbaabcbcbacaabaaabbaabccabbacabaacabbcbbccaabbacbacbabcbbbbbccbcbccabaaccbcbcaaaacabccaabcbbacaabccaabcbccbbacaabbccacacbcaaccaaaacccbbabacbacabcacaabcabbaaaabbaaabccacacbabcbaabababcbbbbbccbbbacccaacbacbcacacbcccaccbacabcaccaaccaabbbacbccbacaacacaacabaacbcbbbacbabbcbccaaabcbcaccaababcbcbbaacbabaaabacccabacbcccbbabbcaccbaabccbcccbcaabcccbaacaaacbabbabacbcaccaccbacbcabcbbaacaccbaacabbcacbcbaccaccabccccbcacbcbabaacaacabbcbcababcbcbcacbccbbcbcbbbbbabccabaaabbbabacbabcbaaccccbcabbccabaaccaccaaaaccbcbacccbabbbccbacaaaccaabbacabbccccbababcbccaccaaaccbabcbabaccbacbaccbcacbbccbacacccbbabbcbbababababaaccccccbcbabbbbbaaacbaabaababacbcacabcbbbacbcaacaababaccababcbaaabcabbacbcccbcccaabaccbcaacabbcbbaaaaccbabcabcaaaccccaaacbaabbcbbbcacaabacaaacbabccabacbacbabaccbacbabaaaaacbbccacbbbbcaccbaaacabccaaaacaccbabccacaabbcabbbacabcbcbabaabcacbcbacbaccabccabbbacbabbbbbbabccbcbbccacbcabbababaaabaaacccbaccbcacacbccaaaaccaccbccbaaabaacbaaccbabaacabcbbbbcbaaaaacabbaaaccbacbcabccbaaaccbccbbacbaabbaaccaabbabbbcccbbcaabccacbcaccbbbcaccbabbacccabccaaabccaabbbbcabababcaccbbbbabbacaabbabababbbacacacbaacbccccbacbcbccabbbcabbcbacacbacbcbacbbaabbcbcacbcaaccabcbcccacaccaccbaacacbbacbccacacccabaacbabbcbaccabbaabcbcaabcbacbcaacaacbbaaccbcbcaabbcccbabcacabbaacbbaaabcaccbbaacabcaaacabbbcacabcabbbbbbbcabacbcbbbabaccacacbcbcbbbccacaccacccacaabcbbcccaacabbaaaabacaacaacbbcbbabbbcbcbbaabcaaacccaccbbaacabaabbbbcacaaaccbcabccaaabccaaaaabcbccababcbcaaabcbccaaccabbccbbbccbccbbbbabcbcabacbcbcaabcbbabacacbbabbbbcaccccaabaabccacaababccccccbcaaaacbacbcccaccbbcccacaaabaacaaabcbacbbbbbccaabcabccbacbabbabbcacaacaaaccabbbbccbaabbaaacbbcbccabacbcbabacacbabaccbaaccbcbbccaacbacaaccaccabaabccabccbcbaabcbacaacbbabbcaabcbbcaacaaacabcacabbacabcacbacbabccabcbbaabcaabcaabcaabcaccbbbcccacbbaccabbacbcccbccbabacccbaccabbbbbbbcccbbaacabcacbacacaccaccacccbcbccbbababbbbbbbcbacccacacbaccccccbbbccbbccbccacabcaaabbbccabcbaccbccaacbccacbabcabccaaabcbaccacbbbccccccbbaaabaacabcbacabbcbaaaabcaabccaabaaabbabbbacbaaabbbcabcabacbbabccbcabaabbcbbccaabcaccbcbbcabcaaaabcaaaaabbacccaccccacbbcacbbccbbccaaacbbbbbabcabbbaaaccabcbcbcabbbaabacccbcacbbbcbcbbccaabbcaaababcbcccbccabaaaaabcabbcabacccbcccaacaccccbacccaacbcbcbaccabababbbaabcbaabacbccccbcbbcbacbcabcbacaaaabcaacbccbcbccabbacbbbacbcabababccbcbbcbaacaaaccabbccabcacbcbcccbcbcbccbcbbbbaaaabaccbbcbaabcacacbaaccabababbacbabaaaccccacacabbabbcbabaabbbacbbacabbbbacaabaaaabcccabccabaccbcacccbccbabaccaacabaccacbabbbccbbaacaabbbabbaccccbccaabbbaacabbbccaabcaaccaabbbbbcaaaaaaabbaccbbaaaccbacbcaaccbacabbcaaaaacbabacabacbacbbccbabaaabcabbaaacbccccaaaccbcbccbaabcbabcbbbacccccbbbcabbbccccbbbccccbabbcbcbbabbcbaabacabcbbcbbacabbbcacabcbccacbabcacbbbcabacaaaababbacaababbbcaabaaacccabbbcaccabaacccbaabaaaabaabaaaabcbabbbcbccbcbabcacaaccabacccbabccbbcbcbacccbbcabcacccbaaaabbbaccacababacbabcabacababbcbcaccacbbbccbcbabbacbabcabcbaacbacaaabaccbcccaccabaccacccbcacccbccabbbcbcabbcbaabbccbbaacabcababacacaaaacbbcbbccbabbcbabbcccaacabbcabbbaacccbbbabbbabcbcccaacaabacbbaaacccbaaaaabcaabccbbaabbbbabbbabacaacbabcccababaabbbbcbcaaabcbbaabbbabcbaaccbbbaaabcbbbaaacbbbbccbbccbcbcbbcaaaaaabacbbcbbcccabacbccbacccabaccabccabbbabbaacabcccbcababcbabccabaabacccbcbcaababaaaacccaaccbccbabccccacccabaabccbccccabcbcaaabbcaaabbcbbacabccaaaacabbbacbabacbcaabbbaacaccabbbaabbbcbabbaccabbabcaabccaabccaabcbacaaabbbaccaabcccccaaacbccacccaaccbacccacbccccbbcccbaacccaaacacbacbcbcbaccaacbacbcaaaacaacbccaaccbbbabbbbbcccbbaaacbcaaacacbaabaabcccbccacbbbcbabccccabcacabaabbbaababcccbcbbbaacaabccbcacbbbacaabaabbccbbcbccccacbaacacaccbbcacacaabbaabbacaabbbbaaccaabbbbbabbcccabbbacaaacbcbbaccbacccacabbababccababcacccabbcbcbabccacaaccacbababbcbaacbbccacbbbbcbbbacbbacabbabaaabcbbbabccacccbbaacbabababaaabbcbaabbabcbbcabbaacaaaaccbbabaacacbcbcbabccabcaccaabbcbbcacbaabaccbcbcabbcaabbaabaaacbbaccabccccbaacaaaabbaacbcccabbbaabbaacccbccabbcbcbbaacbbbcbabacaaabbccabacabcbcbbcabccbaabaaabcaaccaacccbacabbabcbccbbaabbccaacbbcccbbacbbbbcccbacababcccaaacbbacbbcacaabcababccbbaaabbacabcbaabbbbaababbcbccaaaccccccbacacbcccbcbaabbcbacbcbaaacacaabcbbacccbacbacbbabaccbbacbbbbbabbbbbaccaabccacbccbbbccccbcbacaaaacaccaaccaabcabacbabcbacbccaabacbbaababaabbaaabacacbcbcbaacaaccbccbcbaccbaabcacccabaaabccbcabbbabbbbccabcaacccbbbcaabacabbbaababcbcaccbcaabbaaccbaccaabaccbcbabaaccabacbcccbbbcccbccbbaaaaacbcbcccbcaccbbcacacabccaabbbacacbabaccbcbabccabcbbcbacbbcaabccbccbcaacbaacbababbbcacccaaaacabbcabbbcaccbabaaaaabaaaacabcccbaabcbaacaaaaaacabcccaabcccccbbababaacccabbbbcacbacbaabacbcbcbbabbcccaccbabccbcacaabcccccbcabcabbbbcbbbacbbcabaabababacbbacbbabbcbccbcbcbabacbacbcabbaacbaabcccbccabacabbcccbcabbbcbacabaaccacccbaccaabaababbacbabbabbcaacccbaacacacbcabcabbccacbbcbbbacbaabbbcaccccbcabbababcbacaccbcabbbccaaacbbccbbcaacaacbacacacaaaacbbcaccaaacbbbacbaababacaabacbabbbbaccbacbbbabcbccbaacbbbacacbcccbaababaaccbcbabcbabcccbbacbbaccccaabcacbbbbbbcaaaccccbccacbbabcacbbcaacbbababccbbaacbaaacaabaabacccaccacbbabcbcccccabcbcbaabaabbbaabcabacccbcccbbacbbbccabaaacbaabcbbccbabbcbbbbccbbaccacbbcbbacbacabaaaabaabbcaaabccccbacacbccaabaaabbacbcabbbbbbabacaaacbaaacabbbccbbcacbcbaaabcbbaababbacccbbcbbbccbbcbbbcbbcabccaccaccaacbabbcbaaaaccaccbaaaccbaccaaaaccbaaccbbcccbacccbbcababcaacbbacccbaacaacaacabbacaccbabbaabaaacaccbccbaccacbbacacbacbcbbabacbbcabbbababcaabbccbbcbccbcccbbabaccbbcccbccbccabbbabbcccaabbbaabaacbbcbcaccbabcaababbacacaacaccacbaccccacacabccbbcacbccacccabbcccbbcaaabcbccabbaabcbabcabbbbaabbccabbcccbacccaabaccaacbaccbcacbacaacaaaaccbcabbcaacbbbbbcbbbcbcbbbaccbbbcbbabaaabccbbcabbcacbbcccccbcacbcbcbbcbbabcbaabbabbcabcaaccbbcbccbbabccbabaacbcabbccbaaccbbaabbcabbbbabaccacbcacaccbbabcbacaaaabcabbabbcaaaccacbccaccacbcccccacacbccbcaacbaacccccbcbbbbabcccbbacacbbacbbcaccaccbbbabaaaacbbccbcaacbcababbbaccbababbabcabbbbccaccaaacacbcacacbcabbcbbaacaaccbbcccbbaaaccacacabcccaaaaaaccacbbcbacabcabaccbabbaacbcabaaacbabababbbabacccbcabcacbbcaaaacacbccbcacabccbababaaaabccbbaaabbccccabcbccbaaacccbbacabababcacbbbaacbaacbaaaacaabaababacbccbcaabacaccbabccaaacabcbcaccacbccabaaccacbccabbccbbcabcacbbbbacacaabbacccabbccccbbabcbcacbacacbbbaabaaccaababbaccbaabbcbacbacacbbbbbbaabaaacbaacbbbabcabbccbcabbbaaaaaaabbbbcabbcccbcaccbbccbcccabcbcbabaabbababacaacaccbacabacacabaacbcbacbcacabaacacaaacbbbbabaacbccbcacabbcacabcbbbabbbaabababbcbccbbacabaacabcabbcaaabcbbccccacbbbbcaaccaabaccbbbbaaabccaabbabaabccabbbaccccababbbbaaabaacababbcccacaccbaabaaacbbabbabcaaacbbabaaabcbcbcbbcbbacbbacbcccbaaacccabcacaabaabcbcaaaaaaccacbbbcaabcbcbbabbccbcabbcccabcaccaaccccaaaccaaabaacbacbaccaccbabaccbccbacaccacababcababaccaacaabbbaccbcbcbbcbacabbabcccaabcbbcabcbabaaaabccbaabaabbbbbccacacacabaaacacbbcbacbabaaaccbacbcaaabcbcacaaaaaabbbcbccacccbbccbbbccaabcbabacccbcccaaaccccbcccbabcbbcccaacbbacbababcabbacbacbacbbcaabacabbcbcababcaccbcabbbbbacbbacacbcacbccbbaaccaacabbbbabbbabbcccbcaacaaaabcaaaccacabccccacaabcaacaccacccbaacccbabaababbbacbcabbaaaccbccbabbcbccbbaacabccaacbcacacccbacbccbbcbccbbcabcacaaabcabcaacbcbaababacababcbbcbacabacbaacacaacababaccbbbbabbcbccabbccccbbccbcaccbabcbcabaabbaacbbbccaaaccbbbccacacbcbbacabccccbcbacbaabbcbcacbbccacacbccbbbacbbcbbbabccaaccaaaabaaaaacccbcbaaccbcccbcaabbbcbaccbbababaaaaccccbababacacbccaaabcbbccacacbabbcbcacaacabaaaaaaacaaaaacabbbcccaaababcbcbccbbacaaacbacbaaaacbaccabcaccaabaccabcbacbcabcbbabccaacbcacbaccbaaabcbbacbabaacaabaacacccabababbbbabbaacacaccbcababacaacacbabcbccbacabcccabacbbcbbacaabbbbbaacaabcabcbaccabccbacccababbccbaccabcbbccbcbbabacbcabbcbcbcbccbbcbbbababacabbaabccabcccbcbbcbbcccbcbccbabccacabbaacbbbbaaaaaaabbaaacaaaacbabcacbbbccaabacaaacbbbaacccabbcacbccbacbabcccccccaccabcabbccacbbbacababcbbbcbcbabbcabacacababbbbcabcacbbcbccaaaabccbbabacbbbbabccacbbbcbbbbacbbacaaabaaabbabbabcbabacabaccbcbaaabacbbabbcbaacbbbbabcaaabbccacccbbbcccabbcaccbabccbbcabaacbabcbaaabaacacbcacabababbcaaabbcabacacbcaaabcbaaabaacbbbcabcaccbcbcbccabcabcaccccbacacabccaabbbaccbccaabaabcbbccbaaabbcbaaaacbcaaabbbccacbacbbcccccbcbccbaabcbaacbbaabaaaaccbbbcbacacbbccbaabccaacccbbcacaabcbcbcbbacbbbbabbbbabbaabbaccacbaacbabaccbcabacababaaaccbcaacabcbcaabacbcbbbbabbaaacbccacbaabaabbccbbcccacaccaacaaacaabaccccbcbbaacbccacbbbabbbcbaaacbabccbbbbcbaccabccaabcbbcacaaacacbabcccbbacbacaabcaaccabbbcbbccccbacacccaaacabbaabaabccbbbabbaaaacbbcbabbbbaccabbcacaacacaaabccabbccbbbaabcaaababbcbaabacacabbabccaabacbabaabcbcbbcccaabaabcaacccccaccabbacbabbccabbacbbbcbaabaaccabcabcabbbcaacaccacacabbabbbbcbbbabcacacbacbcbababbbacacccccbbbacccacccbbcbbbcacbccacccaacabacbbccacaaabbbbaababbababaaacaccbcbacababacbcbabababacccbbbbaccbcacacaacbbaaabbaccbccaccbabcbbbabcbcaaccabcaabcbcbbbaccaaaaaabaaabacbbaacbabaaabcbabbccabbababcabbccaaccbbcccccccbcaccbbbbccbbbccbcbccaabbcabaaaaccccbabbcbaacbbcbabaaabaabccbbbbabcbccacaccaccbabbbcacaacbababbcbccccbbaacabcbccaabcbcbccbabcbbccaabccbbcccbbbacabcababaaacbcaabacaabbbcbabcaacababcccbcbbbabcacbcaccbbbabbbacbaabccabbbbbbcaacababaabcbcbaabcabbacbbccaacccbbcccbabaabacaccbbabbaabcaacbcccabcbcbcbcaccbbcabaaababccbacbabbbaabbacbcaaacbcccaababccabaccbacaacccbaacbbbcabbbababcccbbcbabbaccacabaabbacccacbacabbabbbaacabccacacbabcacbaaabaaaacaccabbcbacbcccbaaaacccabaacccabbccbccaacccbbcbaccbbabcbccccbccbccbbacacbacccbccbcaacabaabcbbcaabcbaccabccbacbaacaacbabaabcbbbcaaccbbaaabbcacacbbbcbbabbacccacbaacaabacabbcbaabbcabbbccbbaaabcaaccbcbaacbbbcccacccccabaaaacbaaaabacbcabacacccbcaaabaaaccaababbaaacbaabbbcbcabccbbcbabaccabbbcaaaabbcccaacbccbbbbbacabbbaababacccbcacabcbabcbccbbaabbaccabbacccbabacccbcbacbaabcbacabcaabbbaaaababbcacbccabcaabaaabacbababacaaabcbaaaaabbcacccbaaaabbbbaaabccbabbcacbccbaaccabbaabbcbaacbbcccaababcaabbbcacccaaccbaaaaabbbcccbcacaabbcbcbccacacbabccbabccaaacaabacccccbccbaccacbaacacaaaaacbcbbccbbbabaacbbccbbbaaaacbaccabbaaaacaabaaaabbbabccbbcacacacacccabbbacccacccabccababaccabcaabbccccbcaacccaaccccacbbaabaababaacccacaccabaabbbbbacbbcabaacccccbabcacabbcccbcacaacbbbbcaaccacaccaacababcaacbcbcbabbabcaccaaabacccccacababbbccccbaabacabbacbbcccababbacaaababbaaaabbbccaccbabaabcabccbcbcbbaaaabacaabaaccbbccaaabcbcbaaccacbcaacbaababcabccbbccaacbcaaaaaccbaccbbcacccbcbcccabaacaabbcbcccaccbabbabccccbccbcbcaaccccccccbbaabccabbbbbcaabbcccbbccbcaabbababbcaaaaacbbbaaaaabbcaccbccbbaaaaabbaaacbbbbababaabcccabbacbabcbccbbcbaccabcbbabcbaabcabacbacacccbcbbaaabacbbcabacacccccccaabbcabbbccbbcaacbcbbaaaabbcbccccbcaabbbbcbcbbcaabccacbbabcaaaccbbacacaccccacabacbbcbbcbacabcaaaaacccabcbabaabaabcaabbccaabaaaababbccbcbabbabbaabbacaababbaacaaaabbbacacabaccbbcccaabbacbbcacccbcbbaabaccbcaacbbbbcaabcabcbabbacaccccbacbccbbbacbcbaaccacabacacbbbcabbbccbacbccbccabbcccacbabacccaaccacacabccabaacbbaaaaaccaabbabababaccbaabcababcbcbcbbbcccaaacccbcacbccbaacbabacaabcacabacbcbbccbacaaabaaaccaacccbbbaababbabbcccbbaccacbcacbaaaaabcbccccabaccaabcccacacaaccbbacbacbacabbabbbbbccaabcaaabaccaabcbbbbccbaabaacabababbbcccacaacbabacacabcacbcbbbaaaacaaacbaaccaababcabbacbccacabcbcaacccaabbccbcaaccccaccacbabbccbcbaacaacacbcbccbcbabbaaaabacbccabaaccabbcbbcbcccbacbacbabcbccbaacbbbabbababaabaaaaaacbcbbaccbacbbbcabaccccbbbabaacabaacabbabaaccbabcbcbabbcbaabbbcbaacabcaccbbccabacbccaaaacaabaaacaaaccccabacbbaccbabbbabccaccabbbccaaabaaacbcaccacaabbabababababbccbbcbbccbcccacacbaccbabaacaccaabccacbabccbbcbbbccbcaabaacaaaaabababbbaacccbbaaccaabbbbaaaabaccaaaaabbbccbaabbbcaccabcbaccbbbaaaacabacbabbabccaabbaabcbbbcbaacbccccbaabbabacbaccbcbcaabbacbccabcccacaccbabbcbbabbbcbcccbabbcbacccbaaaabacbbacabbcccccabcbbcbabcbaccabbbcccbaaabcabaaabbaaaccabccbabbcaababbabcaccccbcaaacbbcbcbbaaccaaabaabcccbbcaabcaabacbaccbbcaaaabccaccabcbabaacacababbacccbbaacabcccbbccbaabbabaaababbababababccaccbbccacbcacabbabcccbcccccbccabacbbbcbcabaacbaabbabbacccbcacbacccabbaaabbacaabbbbbcbcccaaaabacbcaccbabacabaacaacaaaaaabbaabaaacbcbbacababbbcbbcccbabcbcbcaabbcabaacccbbcbbabbbcbaacabcabbbbcbbbcaaabbbacbacbcaacaaccabbaacbbaaaabaababacacabbccbbababbbacacaaababbbcaabbbbccacaccbbccbbbbcbacabbbaccbbcabccabacabcbcbaababbbacbbbbbabababacbaabacaccccabbbacbccabbcbbcbabbbccbbbbbabcbcbcbccbcbcccccccbccbcbbabcaabccaaabbabcbcaaccaaabbaaacaaccbbabbcacbaabaaabcbcbbccbbcaccbbabbcbbcabbacaccabbbbcaacbbbcbcbaabbbbcaaababacaabbabbaaaaabbacbabaacabaccccabbbcaccabcacccbcacbcbcabbccaacbcbbacabcaaababbcbcccaacaababbcbbaaabababcababcccaaacccbaababaacbaccaacacccaaabcacbaaabaabcbaabbbcccbcaacacbccacabcababababcbbbbbbcbabacababbbbabccbcccbcacbbbbcbacbabaabbbbbcaacbccacbcbacabcaacccbccacaaaabacccabbabccbbccaababbcbcbccbabaacabacacbbcbbcbcbbcccaabcacabbababaacabaaabcbcaccccbbaaacacbbbcaabbaaacacbbabcaacbcbccbccaaabbabaabbcccbcbbacacbabbbcbccaccabcccabbacbaccaabacaaccbbbbabcaacbaaabcaababaaacbbacacbccccabccaaccaacaaacccbcbcaaccaababbabaaaabcaababbcaaaaaabbababbaababcacbcbbaccbbaaaacabcaacacbacabbcaacacbccbbcccacabbcbaabbaabaacbabbabbcbbbbaacbccaccbbbbbcbacbaccaabaabaaaacbbbabccaccabcbcbaaaaababbccbbbabccbbcbcabacaccbabcaaaabbcaabaababbbccbacccbaccaacbcbbbbcbbccabacaccbcbccaccbabaccbaabacacaaabccabcbaccbabccbbcaccaaaaacaacaaccaabbacacccccbbacccccbccacacccbbbcabbbbbcbccbbccacbcbcbbccccaccbccacbbcccaaccbbaaaababcbbaacabacbaabbabbcaaccacaabacbbabbbcbbccbbabcccccbaabbcabaaccbbaaabccaaaccabacbbcbabaaabbcacccbbcbcbaacacacaacabcbaccbbcbacccaabbbaabaccacaaabaccbbcaabcbaccbccccbaccbcabbbcbabcccacbbccbcaaabbbccbcbccaacbcbcaccabcaccabacbbbccbacccbabbcccacacbabbacbbcababaacbcabaabbaabbabbabbcacbcabcbbaabbccabcaacaacbacbcccabaaacaccaaababbcbacbbaccbaaabbcaacbbacaaaaaaabcbbabacaccaaccaccbabbccbbacbcccabbaabcbacabaaabacccabbbbbaaacaccccccccabbbcaabcbaabcaacbabaccabcabaabaababacaaccbcbbcbcabccaaaabcabaccabbbbcccbacccbbcacbbcaaccbbacbbbbaacccbbbacaaacbbaababacbccbcaacabcbbbbcccbaaccabaacaabbacbacbabaaaacacaabbabcaaabcabbccaaacaacbbabaaabaabccccccbbccabbbaccbacccccababacccccccaccacbaccbbcbaabacbabaccabbaccbbbbcabcaaaccbbaaaccabaabbacbcaccacaaabcbccacacaabaabccacaacbcccbbcbaaccbbaaaaacaccccaabbbbbaacbababbacbccaacbccaaccbcacccabacbabbabbccacacaaccbcbabcbbaaacaccbabaccacbcabaccbabccbabacaccbccaaacbbccabaaabcabbabccbaacccccaccbabcaccbabcbbacbbbcacbabccacccaacaaacacbacbbcbbccaaccbabacacabccabbcbaaaacaccbacababcacaaabbcbbbcacabbcccbbacbcaccbcacacbccbacbccaacbcbaccbbaababbabacacccccbacaccabcabbcbacbacbcbccabcbbcacbccabcccabccbaaabbcaaccbcbcacbcaccbcaabbaaccaacccccbaccbbaabbababcacacabaaaaacaccabbacccbabaaabcbbccabbbaaccbcacccabccacbaaaabccaacbcccaabaacccccaaacccccaaacaaccababbabbaaaaacbbccaabacccbaaaacbccaccbaacabacaaabcbbbcaabbcbaccaaaabcccbacabccaccbcbaaccbbbbcbbccacbacbaccbcbacacacbbbbccbabaaabbcccccbcbbbbaaabccabacbaabcbacbbabcbbbacbacaacaababcbbbacacacaabcacbbcccccccabbabbcbccaabaaabccbabbbaccaccbcaacabbbcbbcccacccbcbcabcbabacbbabaacabccbbaababbccabbacaabbacabacacaabbabaabcaacbcabbacccaccaacabacaccbaacbaaabaccaaabccaaaaccbbaacbcbcccbbabbbbcabaaccbcababaccccbbaabcccbababbccacabcaccbbbababaaaaabbbbcaaccbacaabccaabcababbacaccbbcbbcbabacaabbbbbabbabaabbbcbaacabaaacabcacccabbccaaacbabaccabcccbaacaacbbccabcaaabaacbacbabcbcabbcabbcbabbcaabcaacabbccccacaabcbbccbbcbabbbbbbbcaccabbcaaccbcaabbacbccacbccbbcbcaccbbccbcccbacabcaaccccbbcacbccccaaacaaccababbaabbbcbcaaccaabbbaaabaacbbcbccacacccaaccababcbbbbccbabaaaaacbbbcbbcbccbabacabacacbbcccaaaaccbcbbcaccaaacaaaabbbaccbbaabaccbcbccaaabccbcabbcacaacababcbabcaccbcbbcbabbababaaaacccbbacaaccaaabcbcaacbacbbbbbccbccacbaaaaacacbacaaacbbccaaccacaabbbaabacbacbcccbbbbbbcaacccbccbbbbbaccabccccacbbabcbbbaacbacaaaaccacaababbbbbaacabaccaabbbabcccaaabacbcacbabbccbbccacababbaaccacabcaaccbbaccbbbaaccbacbbcbccaabbabbabcacbccbccbaacaccacbbaacabbcbaaaabaabbbcbbbbabcccbcbccaccbacabbcabcababbcaaabbbbbaacbcbaccaacacacabbcbbbcbcbccaacccbbcabcbabcbccabcabcccacaabbbbbcbaabacbbbbbacbcbbabcabcbcaaacbabacbbabcccacabababcbcaabbaaabcababbbcaabbabbbbbcababcbcabcbacccaabcacbcbcacacbbabacaccccabccaaaabbbabcbbbcaacaacaccbbaabbabccbbbcbabcccbbcbacccacccaccbaababbaaacbbbaacbaacabaacacccacacccacabbbaaccbaaacbcaabbbaaccaabcbcabaccccabbbacbcabbbcacbbabccacbcaaaabaccbbbcccbbcaaccccabbabbbcacbccabbaaacbbcacacabcbacaaaccaabbbcbaabcaabbabcbacbbbbaccacbcccccbabaccccbcabcbabbcbacbbbbbabcbbabcbabaccaababbacaabbabcccaaacacaccababcccbacbccababaccaacbacbbccabcccabbbbbabbcbacbaabacbbababbcabbcaacbbbbcbabbbccaaaccacacbcaabcbcabbaaccbcbbbccaabcbaccbaacacabbcccbabcacbbcbcbabcabbacacabbcabaababbabbabbbaabcccbbcaaacababccbbbcbaaacbcbcabaccbaacabaacabcbcaccccbbaaaaacacabbaacbccaacabbabcbaaccbcccccaabaabacacabcabacbabcbacaaccbcaccccabbaccbbbabcbaabccbbccaccabacacbbbcccbbbcccccabcccaccaccbcacaccccabcbcbbcbcaccbbcbcbbbccacbbbbcbaabbbacacabcccaacaabcabcbacbbcbcaabbcbaabbccabbabccbcccaabccccbabaabccaababaaccabbbbbbcacacbbbabccbccabacbacaababbaabcacaaacabcbacbaccbbacaaaabbcaacbababaabacccacccbbabcbbababbcaabaaccaaaaccabcbabbbcacabbcbbbaacacacbaacbacacbabaccacbbbcabcccccccbcbbbbcbbbcaabbcbbbbaabccabcbaaacbcacbaacbaabbbbcacbaabcbacaaacbcabcbbcacbacbcbbcbcacbabcacaaaccaabaacacbcbcacaacababbbcbacbcbbccbbccbbbbcaacabacccaabbccaacbcacabbccacbcabacbacbcbcbccaacababcbcaaccacabcacbcbacccaaaacaaabbabaaabccaaaaccacabababcbbaababbcbacbcaabaccaabbbbcacccabbbabcabccacccccaaabcababbabbccaaabbaccaaccbcabbcacaaabbbabaacababbcacabbccaccbcaabcaaabaacbbcacbcbcabbacbcbbaaabaabbabacbabaccbaacbabbcccbaabcacacaabbbabbbabbaacbbbbbccaabccabcbaabcabaabbbcabccaaccbcaabbaaabacbacbccbcbbabcaabbaabbcbbccababaabbaabbcacaacacaabaacbbcaaacbccbbacaabbaabbbaacabbccabcccbccbccbbcaaaacaccaaabbaacacabbcababcabcabacccabaacabcabbbcbaacaacaabccacbbabaccccaaaabaabaaabbbbbcbaccacbccabaaaaaccbaabbacaccccaccaabbbcbccbcbbccccbaaccacabbcbccacbcabcbbbaabacaaabaccbcacabbcabaccbbbbcbbbbcbaccbbcccbcacaaccabcabcabacaacccabcbbabcccbcaaabbcacbbacabbaccbabcbcbabaaaabccabaccaaacbacabcabaaaaaaacaccaaacabaabcccbaacaaabbbbbccaaccacbcccacaacabaccaaabaaabbbccaabbbbbcbbaaabbaacaaababcccccbcbbccabbcbbcbcbacabcaaabacbaacbabcccacccaacaaccbaaccccbccbccbbbcaccacaacabcbcccaabcbcabbcbcaababbcababccaacabcabcbcbbaacacababcccbcbacabcaabcccccbacbcaaacbacacbabacabccbcbcbabccccbcbccaaacaccabcccbbcaccaabaabaaabbaccacbcbcbacccacbacacbcaccbccabaccabcabbcbbaaacaaacbaabaabbcbcabbccbbbaaccbbcbaccaabacbacbaaacccbabaaaababcccbbcbbcccacbabaccbbaccccbccbaacacaaccaaccbababcbaaccabcbbbacabbcabcabcacacabccabacaaaaacccbcabaababccccacaaccccabccbaacbbbcaabbacbbaaabccacbabbccbccbaaaabbcbcbcbbccaabbccccababccacbbabcbabbabbbcbcbcabaacacbbacbaaccaacbabbbaaccccbaaacbacbbbbcacbaccbcccbacabbacbbababbcbabbbacbcbabaacaaccabababbcaaabbacbaacbabacbbcaccbbaabbbcabbcabacccccbcccbbabbcaabbbabccacbbabbccabbccabaacaaaacaabcbacababcabbbbaacacbaccccccaaabcbacbbabacaccbabcbabbcbcbacabbcbcaaacabbacaaccbbcbcaaacbbaabcbbabbaaaabcaacacbacaaaaccabcbaabbabcbcababcaabaacbcabcaaacacabacacabcaaaabcaccccbcabcacccbccacaaccaabcbcbbabacabaaabaaabccacaababcbcacacabaabbacbaabcacacabaaccaccabbccbcbababaaabbacbaccabacbacbabaacabcaaccacbbbbbacccbaacaacccccaabababbccccccaccbbacabcbbbababcbbcbbbaacabaaccbcaaacbccbaacccbbccacbcaaacbbaabccaabcacbaaaabababbcabccbccacabaccbbccbacbabccabaabcacbbcacbcbcaabaaabaccacbbcaccbbbbaccbcbcbcaaaaababccaccccaccabbcbbcacbacacbccbbcbbcaabcabcccbcabcbabaacbabcacbaaacbabcaaabcabccccaaaaccbabbcacacbccbcabcabccbbacbacbbcbbbbabacacbbcabbccabbcbcaabbacbbcaccccbcccbacabccaacaabcacacccaaabbbbaabcbaabacbbacbcbccabcababbaabaacabcccbababbcaaaacbababaabbaaaaccbaaacaccccabbaccabcccabacbccccacbbabccaccacaaabaccbaccacbbabacbcbbbabcbccbcbbbacaabcabcbabaaaccbabbaacabcccccacccccacbabacaabaacabacabcacbbaacbbacccaaabababcccbccbaccabcbccabcbaacabaaaaaaacbccabccabccabcccaacbcababbbcbaacbacbaacacaabbcbbacaaabcabccbcabbbcbbacccabbabcbcbaccaacbacbacbccaaacbbbacaaacbbcccbccbababcaaacacccbabcccccabbbaaacaacaaaaacbabcbacaaacaabbcbaaaaacccaccababbaaabccbbcaaaacbaaaabaabcbacaaccbcaaacbcccabbcbaaacbbbccbabaaacabaaacaaaaaaaccbbaacabaaccbabbccbaabcbccacabcaacabccbbccabaaabcbbbbccbaccabbabbbaabacccaabccbaacbabacaacababacbaaacbccbaccabcacacbacbaabbaccacacbbacbcbaabccbcbbaabcbacaacbcccaccbabcbbcccabaabaacbbbcababcbcbbaaabbccaaaccabccccbcaacabbbaaabbcbaababcbacaabcacccaccacccbaabacbaaabaaccbabbcacbaacbbbcbbaaacbbbcbbbbabbcabbcacccacaabaacbbccaccbcbabcbcabbbbaaabaacccabcaccbbccbcaabbbccbbaababacbacbabacaaaccbcccccacbbaabbccbaaabbaabbcbcaccbcacccbcbbcabbbcaabbbaccaccccbcccbcccacbbaacaabccbcacabacbcacacccabccccbaaaaccccaaabbbacaccbbababacbbaacbbaccbacbacbbcbabcbcaccbaabcbbbbbcbbaaabaaabcbccbbcababbbccbabcaabbbaaabaccbbcccbaacaaacaaaabacabacccaabaacbcaaaaaabcaaaccccbcbbcaacaacbaaaaccacbcbbabbcbbccaacbbbaaaacbbacbbcacabbbcababbaccbcaccacbcbcabbcbcabbabaaabbababbaabacbbbbcaacbacabcacbbccbbcbacaaaabbacbbcbcbaacbaaacabcccacaccabccaabcabaaababaaababbcacbbbccbbbbacbacacbcababbcbcabbbbcbcbccbacbaaccaabbbbbabacbacabaccaacccbbcbcabbaacbccbccbbaccabbbacaaccbcaccccbaccbbbbbcabcccaaacaccaccacabcbbcccbbbbccbacacccbcaccbaaccbbaaaabcabaccbacabcabccaaccbbacbabcbccaabbabaabacbbcbcbbbcbbaabcacacaaaccbabacbbbaacbabbaabcbcabcabcbbccbacccacbcccacbcbacbabaccccbcbacbbcbaccbcaacaccbcacccbbbbbccaccaabacabbccacbaabbbcbbcccacacbaacccabcacccabcaabbcaaacaabcbbccbacabcbbbcbbccbcacaaabcbccccacbabcbacabcbaaabbbccaccbaacbbbcacabbcbbbcccbbbabbbccccbbbacaabacaabaabaaabbccbbacccbababbcccbcabbaccbcbbccacbabacabccabaabccaaacbabbaaaaabccacbcaaaaaacbbbaccaabcbcaabbbaaacabbbcacbbcaaacaaaacbcbbaccabbcaacaaaababbabbbccbbabbcbbccabcbcbcbbaaabbabacaacaaaacacccbcabbaabbabbbcabaccaacbbabcacabccbcbbcbcbbccbbcccacbabaaacbbbbacbabaabaacaabaacbaccbbababbcccbbbaabcccacbcbbabbbccbacacbbacccbababbabbbcbcbabbaaacbacbcbabbbaacbabbbccaaabcccbabcaaaaaaccababcbacacaacccbcacaabbacaacccccaabbbccbccbcccccbbcbccccbcacacacaabbacbabbccbcacabcabacababbbbccbcacbcbabacacacbabcabbccbcacacacacbacbccbacbcbcbacaacbbcaaacbcaabacbcbbacacbcabbacccabcacbabcaaabcccacbacbacbabccabbbbaabacbaabcaccbcbccbabbcbbcbabbbaaccacbccbbcabbbacaaccbbbbcabacbcbccbbbccbbacaaacbacccbcbbaccbbbcaaacacbbbbabbabcabccbabbcccacbcaacabcabacbccccbbbbaacabcabaaccaacbbaaabcbcaabbbabaacbacbaccbccbbacabcbabcaacaacacbbbbabccbbbbbaabcbacaabacccbccccacaabcbabbcabbcacbbbaaacacabbabacbbccbabbcacbbacabbbacababbcbbcacacccbcaaababbabcbcacbbabbbbcaaaccabcbbcabbbcbcccaccabcacbaaaaaabbcbaacbbbbbbbccababaaacbaaccbaabcbbbabccacabaccaaaccacacbbbabbaaaccbacbbabcaaabccccccbbbcccbccabcccacccccbcbaabbcbabcabbabacabcaabbbaccbbcabcaccaaacaaaacbcbbbbbcaccccbbacaabbabbacccbbccbcbaacbbaabaacacababbbababbaaabccacbbbabaabcaaacbaabaacbbcbcbaaccccbcbcabbbbbcabcaabbcacaaccacaaabcabcbcaaabcccbcacbacaabcaaccccbaaccaacbcccbcbbacccacbbcbccaabcbaaacbaaccabcaabcbabbbccbccaaccbbabbcccabcacaccccbabaaabcbbcbaaaccbcaccababbaccbacbbacacabcccacacbcbcbaccbcbbccaaababcbbacaccbaabbccbcabaabcbccbcbacaabaacabaccbcaabcabbbcccbacaaccbabbcabccbbccccbbaacabaaaabccbacaccabacccaccccaacaacabaccacaaccbabcccbbbccabbacbcbcbabacccabbbbbacccccbccbbacaababacbcaccbbaaccbaabbbcbbacbabacccbcbbabbacaaccbbbbbaacaaccaccacbabacabacaaabcaacbaaacbccccbacbacacabacbccacbabaaaaccbcaabbccabcabacbaabaaaacaaaacbbacbcaaaccbbcacbaaabaababbcbbabcabbccacacacabaabacccabaabaabbbaccbbbbcbacccbcbbccaaacabbaaababcccbccccccbbccccaaccbbccbbacaabbccccbaabaaabbabacbcbcabbbbccbaaabcbbbcacbcacacacaaabacccccacabaabaacacaaaabcbcacabbcacbbcbbccaccbbcabcabcbababbabcacaccbababcbcaababbcbcbbbbbbabbacbccccbcbcabcaaabbbcccacbcbcabacaaccaabacabcbaabaccaaacbacccccabbacccccaabbccaccbcacaacccbbbaabcabbacacbbcbabcbaacaccbcbaaccbaabcabbcacaabaababaaabbcbabacbacacbccacbbcaacccbbaccccbacbcbcaaccaaabcbcbaacaabbacbcbabbabaccacccacbbbcbacacacbbabcabbacabbaccbbcbbcababcaaabaabcbaaabacbcabccbcbbabbbaccabcccaccbcbacbacbacbabaacbcbacabbacabccbbccbccccbbcabcababcbbbcaabaaacbcabacbbcbaabccbcaccaacaaaaaacacabbabbbcccccacabccccaaabccbcaaccaaaaabaababacbbaababcbbacaabbccbbbbabcacbbaaccabccabbcbbabbabccababbabbaaacaacbccbbcabcbaaabcabaabbbbaaaabaaabbacbabbbcabcbcabaccbbaacbccaabbcbacbbbacabbbabacacababbbcbaaccccbcbbaaacbcbacbcccaaccaaacbaabbcabbaaacbbbcaaabaabbacabacaabcaabbacbabaccbaaccbccbabbccccccccbbcabaccaabccbccbbbccaaabacbccbccbcbcabcccbbacacbbbbcccbaabbbccbcbccacaacbccabcccaaacacbbccbbababcbcccabacbaaabacacacccbccaacacaccbcabacbcbcbabcbbbacbcbacbccbccbbcacbbacacaaaaaccacacccbcccbaacccccccbcccbabbcababbcaabaccbaaaacbcbcbcaacbbaccbbabcbaaabbcbbbbcababbbcacbbbaabbccccccbaacccabbbcaacbbabaacbbccacccbbaccabbbabbcccaacacccbcabcababcbcbbaaaaccabacabccbbbcacaaccbabaacaabaccaaccbabbbabcbaacaababcbbabbbccacccccccbabaacaaaabccbabcaacaccbbbaccaaccaaacaccbaaaccbabaabbcbaaaaabcaabcbabcccccbcbbbacbcccabcaabbabbbbaacaabababaaababccababbbbcaaaabaabbbacbcccbbcbcbababbabbbbaccacaacabcbbabcbabbcbccbcbcacbbabcbbbcacaaccaaaacbaacaaccbaacaabccbcbaacbcccaacbcbccbccccabcbcacacccbaaccbcccbccbacccaaccacbbabbbabacaabccaccaccbbcbaaaacccacbccbcbbbbacccbaaccaaabbcaabcbaccabcbcaacbbbccacaacbbcaacababbbbcbcabccbaaacbacbbbaacbbccaacbbbcaabcabcabbacaaaabcaaababbbacbcbbbcacbaacbaabaacbcbcacccaacaaacccccacaacbcbaacbbbccaaccababbccaccbbbaabbcacabbcabababbbbbcacbcccbbaccbaacbcababaccaaccaccacbcbaaccaaabcccbcaccbcbbabccbabcabbbaccaccccbcaaabcccacaabcbabbcacaaacbabccaaacabaabcaabbabcabaacaababaabbcabbbabaacbccbccbbabcbbcbbbbbbcbbbcbaaccbbbccaccabcaaccacccbccbabbcbcbaaaccbcaaabbbbbcacbcbbacbbccbcbaccababbbbcbccabcacccbabaaacbacbabcbbbacbbbabbbbaaaccccabaabcaabccaaaabbbbbbaaababcacccbbcabbbccbbccccacbccbbbbcbbbccabbcbcbabbcccabbcbbcbabccacaacbbbbccbababacbaabccbcbacbacccbcbacbcaaccaabccccbabcaaccacccbbbcbcbaccbaaaaaaabccbaabacbcbbbaaaaaaaabaabcabbabaabbaccccbabaccaabbbaababbabbabaccbbaacaaccbccabbacabbcabbbbbcaabacccbacbaacccbcaaacccccccbbbcacbcabcccacbbbccaaacabbccbaccbabbacaaaaacbacbcabccbbccababcaabbbacccbabaabcbbbccbcabaabccaccaababcbcaabccabacbbccbbcacbbbacbcaabcbacbcbbcaaaaacbabaccbaabaabbcbcbbaacaabaaccaabccacabccbcbabcbccababbccbabbbacccbaabacccbbcaaacbaaacbabbbccabcaccaaccacbaabbcacbbccbcaababacaabbaaaaccbcaaccaabbaabbaccbccabbccababccbaabbbcbccbcbcbcbbacabbacacbbbcccababcaccbcacacccccbbccacabaaaaacabbbaccacbabbabababccbbcccbcbcaaacabacabcbcbbabbcaaaaaacacacaaccababcabaaabbaabbccbbcbacccaabaccbaabbacabcacaccaccaababcacccbccbaacccbaacbbccaccbccccccabcbbbaccbcbbcbaacccccaaaaababcabcacabbbcbacaacbbacbbaabcabaacaccbcbaacaabccccccaabccabcbaacababbabcbbabcaabcbbbacbcabccbababaccaccacccbabaaacaacaaaccaabbcccccabccacaaacccbbccaaaacaccbccbbbaacbccbaccacabbbacabbbbbaaacbcaaacaabbacacbabbaabacabcacbccccbacabcbabcacbbcbccacbbabcccabaabbbabcbcbabccabbcbabcacbcaacbcbccbacbaccccabcacccabcaccaaacbcaaccbbcbcaccabcccbccbabacbbcabbaccbabcacbbbaaaabbbccccbbbcaababbbaccaabcccacbbbacacabcbbcabcbaccabbabbcbbaaccbbaacbacbbccaaacbcbbacbcbacbcaacaabaaaacaacababacbbcbcacbaccbbbccbbaababaccccabaaaaaccabbbccbaaabcbabcbcbbcbacccaacabcaccbcacbbcbbbbacbcccbbabbbbcbcccacacabcaabbbbcbcaabbcbbcaacbaaccccacababcbcabcbbbbcbaaacbcbabcbcaccacabccabaaccaaacbaaaccacbcbbababbcacbbcbccbaabbbbbcacbbbacbabaccbaabcbcbaabcaabbabcabacbabbabcbabcaccccaabcaabacabacaaaabbcaacbbccacbbbcaaaaccbccbccacbbcccaaaccaacaacbacaacbbcbaaaabcbbbbbacbacbcbaaacccbacaaabacccaaacacabaccacbcccccbbbbacbbcbcababcbcbcaacbcabbaababbccbbacacccbaabaaabcaccaacbcbabccaabcacbbabbacabcbcbabacacacbaabbaaabccabccccaabcccbcccaacabbbbbcccccacbbaabacbcbbbaacbacccaaacccaccacbbacaabbbcaaabaaaccabbacccbcbbacabbbbbcacabcacbcabccabbabcbbbaaabcbacaaabbacbacaccbabcacabbbabcbaccaccabcabaccaccacaabaacbaccabbaabacbabcbcabacaaccabcbbcababbbbbbcacccbaabccaacbbbbcaacccabbcacbbabccaabbaccaaabcabaacacbbaacccacaaccacacabcbbcbccaacbbcbbabacabbaccccccbbbcbcabbabcaabbcbbbbccaacacbaacbbaccaccbaccbacbcccccaababcbcccbaabaabaaabcccbabcacbaacacbcacbccccbcaabbbcbcaabcabbababccaacaccbaaabbbaaaccabccccbcbbbaabccacbababbacabcaaaabbaacaacaabbcaabccacccabbaaaacbbcccacaaabcabcbcabbabbbaaccacaabbaccccacaabcbbaacbcacbbcbcbcabaabcbcabababbacabcbababbacaabcabcabacbccacabbbbabbcaaabaabccbacbbacccbabbcbbbabcabcaacbcbcbcaacabbbcbcabaabcbaacaccbbacbabaaabccccbaabbcbccbbabcbbbaaaaabcbbaccacccbaacaabacaacbcacccaabacccbbcaacbcacbbcbacacaccbbbaacccaacaccaacaaabaaacbbcbcaabcbbccaaccbbbabbbacbcbbbcaabcaccaabbacccabbcaabbcbacacabbcaacbaccaccaccbcbbcbbbccbbaabcaacccbbacabababbccacbcbcccbcacccbbaccaccccbbabacbaababcabccccbccaabcccbcccacbcacccbaccbaccccacbcacbaaabacabacbcbcabcbbacbabccbbaabacbbbbaccaabbaabcbbbbacabacaccabbaacbbbbacababccbaacacaaccaacabbabacbbbcaabbcccaabbcbccccbacbaaaccbaababaacbacabcaabaacabbabcccaccabbbcacbbaaaccbaccabbaaaaacaaaccccbbbcbbcaabaabbccabcabcaaaabcccabbcbababcccabcbccabcbabcaccbabccbbccccacacbbabcabbacabacabcbcbabccbabbcacbcabbbacbacbcbbcacbcacbbccbcbacaccacaacbaabbbbbbacaaabcaaccaacaaccbaacacacaccaaabccbcabcabaccaabaccbbcaaacccaabccbabbcbcacabcacacccbababccbacccccacbccacacccbbbabbcbbcbccccbaabccabbcbccbabbaccabaccabbbabcbccccaaccccbacacbbaaaaabbabaccbcacbccbbcacbabaaacbcbcbcbacccbcbcbcabbbbbacbabcbaccbbbcbcaaccbacbaabcabcabbaabcbcacabbbbbaaababbbcaaaacbbbbacbabccbcccaaabbbaaabcaccbaacabbbbaacbbbabbaaaacbccabbbaabccbaaaccbabaabcbbbccbaabacabbbcaaabbbabacbcabcbbacbabbacbbcabccbcacbbacbabbaaaaaccbcaabcacbaaacacaaabaaaaccacbabbbababcbacacaaacbbbcccaabcabbbcabaacabbbbaabaaabcaaacbabcaabbaabbaaccacabcccacacbccbbbaabbaaabccbabbccacaabaaabbbaacacacabacacacabbabaabcaccbbcbababcbcaacbcbbaabbbaccaacbcabacaaaabccaabcacacacaccbcaaabaabcabaabccabcbbcabcbbacbcacbcaccabccaabacabcbbcbccaccbcaaacccacbbcabbcaabcbaaabcbbccabbccbabaaccbbcabacababacaaaabcacccabacbababcbababbbaabccbccbbbbbbccaabcbcbbcbbbcbcaacbbbcacccaaabbcaabbcacbcacaaaccccbbabbcbcabcccccbaabcaaaccaacbbbcabaabcbabacccacbacbbacabababacbcacbbcacacccbabcbbbbbccaaccbacacaccaccccbccbcbbacbabcbbaccabbcbcaaabcacccbbacbaaccaabcacbabaabbbbabbacbbcbaaaaaabcccaacaccabcbcbcacacabbacbbabccaaaccaaacbcabaaccbbcabbcbaccacaabbacbccbacbacaabcbaabcccbccbacaacacaaabbabbcabcbcaaacaaacabbbccbbbacbaaaaacaabaaacaabababaaacbcbbaabbabbaaccccabbcbacbcaabaccbacabaabbcaaaacbcbbaabaccbaacaaaaaaabcbbccbbaaaacccacbcbcccbcbcaabccbbabaabaaaaaacbcaabccbaaababbacabcaaacacabbbbbbaaabbacacbccaabacaaacbabbabbbbbbaacbcaccbaacaacbbcabbbbbcabcbbacbccabaabbccccbbcabcccabbaabbcbccabababbbbcabcccbcccaccacbbbaabbbccaaaaaacbbcbaaccabbbcacaacabbbbcbaaacaccbabccbbbbbacbaccbbbbccccccabbcaaccaabacbbbaaccbcbcbaacaabacabcbbbbccaccbccbbabaccaacbbcbaccacacbbbcbbbcabccaaacaabaccbbacacbccccaaabbabccbabbaacbbbabccccbbcccaaabbaccbcaabbaacbcaabbccacaaabcbbbbbcbcbabcaacbbbacacbbcbcababbbbbccbabacbabccbcbcbacacccaacbbacbcaaccbcaccbbbbacbcbcabcccbcaabbaccabbbccbccaacacbbabcbacbcaaccabbaabbbcabacaaacaccbababbcaccacaaacbcbcabbacbcbcabccbbcbbbbaaaabccbbabbbbbcaaaabbbacaaaaaacaacaabcbbbccacbabcaacbababbbbabacaaabccacacccbcbccbabacbcccbbbcabcaacabcbabbaacbbacabcacaacccacaacccababcbcaacbacbccabccbabbbbcbbbbabcccaccccccabaacabcbccccbcaacabcaabbbbaaacaaccaaacacaccccabaccccbbbcbaaccbcabcaaaaacbbbbbccaacbabccacaacaabaacaababbabbcbbaacacbbbbbbbcababacccabcccbaabbaccabbbacbcacabbbacabacaccbacbcbccbaaaabacacbacbbbcaaabcacbacccaababbcbaacbbbcbbbbcbaaccabcccbabbcbaccbabbccaacbbcacbaccccbabbcaccccbababbcbaaabbcccaccabbaacaabbbaaacbcbccaccacbbabccbabbcbbcccabacbbbcbbcbabbbbbacbaacabbaccccbbcabacccbbaccbabbcbaababccabbbcbacacccbbccbacabcbbacacbababaccbcabbacabbccbbacbccbbbaccabaaccaccbbababaacacbcbccacccaaccaacbcaccacbbabbbbcabccccccabbcbaccbcbbccabaccbbaccccccabaababbcaaaabcabaaabccabcbcbbccbcbaabbabbcabbcbabbabccbabbccbabbbbcacacabbcbbabacbcbbabbbacbcaaaabbaaaacaacbabcaabbabbbaabccbcccacbbcabccbcaacaabaaabccaaabbaccbcbcaccaaccbaabcbbcbbbabcabccaacaaaccabcaacacaaccabcccccacaaaabbccbbcbacbccbbcaaabbacabbaccabaabacccabbbacaababbbbacbbcbcbbbaababcbaacabccbccccbbacbcbbbbacabaaacaaacccccaacaabcacccaaabbaacccbaabbbbbaaaaaccbccacacbabcabcacabcabaaccccacabcabbcbacbbcbacbbbcbbcbbabacaacbcbcaaaaacacaacacacaacccaabacbcccacbabcbabcbcbcabacbbaaaacccccbccaaabcccabaaaaabbaabbbbacaababaccabbcccacbabcccccbbbbccaabbbbbcbbcccbcaaacabbbabcacaacbaccaccbabaaaaccbbcccabaabcabbbacababbbaaabbbacbacbacccbccccabccbaaaacabbbabbbbaacbcccaccaaabcbacbcbabcacaccbcccaacbaacbabbbccbbaaaaabcccbbbcbbbaaaabcbbcbccbcabbbababbaabaccaabcbabcbbababcaccbbccacababbccbabcaabaabcbacacbcababbabcbabbaccaacabcaabaaccccbcabbcaaacbbbabbccacccbbaabacaccbcbabaaabaacbcbbabbcccccccaacbabbaaaaccbbbcbaabcbaccbcbbcabbccabccaabccccaacccbcbcabcbbcabbbaaccccacbcbccccbcccbcabbababbcbabbcabbcbcbcaaccccbaabbbabcbaaaaabcbbbbaacccacbbcbacccbcbcbbcbbbabccbcabbbabbacccaaacbcacaaabbaacccbcabbabccbcbcbacbbcaacccabccbbbbaacabbcbbcccabbaabcacabccbacbbbcaacbaaccccbbbcacccbacabbaacabbbccbabbcabacccbcbccabcbccaccccccaabccababaabcaccbacbbbbccacaaaaaccbcacaabaacbccacbcbccbccbccbcbccccabbbbccbbbcbccaaabacccaaabbacaccccccbccaabcabbbabbbbabcbaabbcccacbacabbbbcbcbbbcaabbbcaaacabaabaaaababbbaababbbcabbbabcabacccaacaaccccbbbbcababbccbaccacaacbaacaccbbaaabbacbbbacabacbcabbcbbccaccbbcbbcccabbcbabbabacaababacbccaaacbaaababacaccbbabaabcabaaacabbbbcaabbbbabcabacacacaabccacbabaabaaabbccaaaacaaacaaacacbbabbacaabbacbbabbacabcbaccbaaaabbacbccccbcbccaabaaaabcbcacacbacabcabcbcabcaccaccbcacccbaaabaccbbacbbbcacccbcbcaaccbbacacbabccbacacccbbacccccacbbccbccabbaacaabbbbbabcbbcababacabccbcacccabacbbabbbbcabacaaacccbabacacabccbacbaccbbccccacccbbcabcabaccbcbbcbcabccacbcabbcbbcaaabcbabccbcbacbcabaabcabaacbbacbcabcbcbbabacbbaacaccbbaabbbcbbcbcabaaccbcbbbabcbbbbabccbbccabaaacababaaacabccaabbbacbbccacbbbbacbabbbbbaabcbabccabccbbaacbccbaaacbacccacaccbcabccbccaccccbbcaabacabbccababaabbbcccbbcccacabccaccbbbaaacbbcbaababbacabaccaabaacaacbaabaccaaaacaabbaaacbcabbacbacbbbabcbcbbbacbbbccbbbcaccbbcabaccbacaaaaabaacbbaacaabaabaabccabbbbbbabbccbcbccacbbcabacbabbabaaabcbcccccaabbbccbbbaacaacaaccabbabbaccbbbaacbaabacbacbacaacabcccacbaaabacbcbacaacbcccbabcbccbaacaacacbcaccbcbbacbcaacccbcacbbbcbccaacbbacacacbacaccbcabcbccccabccabacababaabbbbccacbbbccccbaccbabccacbaabcbbbabaccbccbbbbbcbccbacbcacbccabcaccccbcbbccaccbcaabcbbbbbacbbbcabbcbabacbaaccaaccacccbcccabbcbaccaacacbabaabcaabcccccccbcbbcccaccacbacbcbbbabaacbbbbacbcacccbaaacbacbabcacacbacbcacaccccababccbcccbbcbcaccbccaaacbacacaacacbbbbbbaabcbbbbaccbbbaccbcaccccaaccbcbcaaaaabbccaccbabbaaaaabaaaaccbcaaccacaccbaaccccbcbcaaccabcbabcbacbacbbbbcaccaabbcacabaacbcccaacbbababacacccacaaaccaaccbcabaaaccaccbabcbaccacccacacabcaaccabcaccbbabbcaaacccbbbacacbaccbbccbbccabaacbacbbcabccbababcbabaccaacbabaaccbbabaccccbcbaaabababbbabcaccccacaccbcbaacacaaacaabccacaaabcbaacbbbbcabbbccbcbacabbbacababacaacaacacaacbabcbcabcbcbbababbaccbaccaabbcaabbbaaccabcabcbbbbbcacccbcbcaaaaabbcccaababcbacbcbaabcbcaaccaaacccaacbabaaacaacccbcbcbaabbbacbaacaaccbbbaaaacbccacbcaabcabbaaccaacaaabcbbacaccaaacaaabcacccccabcccbaccabcbaccbbaaaababbcacbcbcacbbbcabcbccacbacaaccabbbcbcabcaabaaacabbabcccbabbaabcaabcccbcbacbabcbcabcabcabaccaacbacabbbcacbabbacacbcbabaccbcbaabacbbabccaacbaaabacaaabbbbbbcccacabababcaabbbbcababbbbccaaabcacbaccbbbcbcbaaacacbbbccaabcbbaccacaccaccbabacbcaabcabbaaabbacacbcabcababccbcaaacacacaaccccbcccbbcbbaabaabcbcabbaacabaaabbaacbcbbabbbcabbacbabcaccbaacabbbaabbcabacbbccabaccbbacccacaacacacbacbaccaacbcccccbcabacaabababaccccacbccbbccbbacaababacacbcaaccacaabbbccababaacabaccbbcbabbccacabcabcbacbaabbccaaabacbaaccbccaccabacccbccacabaaacaccbcbaaaabccbbcbacccccabaacccaaaabcccbcacaabbcbcbcabababacababbccabbbacbcabbbcccaabcaaccacabbcccccbacacacbbbbcabbbaacabcbccbbcbbbbbbccabbbbccbcbbaaccabcaccaabaaabcacabbcbabccabbaaccaaaababacccccacbcbcbacbbbbcccbcabacccccaabccabacaacbcaacbacacabbccacccbabcaaabaaaccabaabcbaaabcbaaacbbccabcbccccaaabcacaaabbccacabbbbbbccaaabcaaacbaacaabcababbbbcbcccbbacaccbbbcaabbccbbbccabcbccacaaabbbbbaabaaccbabaaabaaccbcccccbaabcacbbabbcbcacacabbacbabcbccacccbbacacabaacccbbacaacaacbcaabaacabbbcbcbbbcaccccacacabcccbcbcbaaabbacbabcbcccaabbbabbccccacaaababcbabaacaabccbbcaabcccbccbbaaabaccabbccccabaaccaaccaccbbcbbabbcacbbcbccbcabbbcabcababacccbabccbbcabcbaaacbbbcbbaccabcabbacccbcbbcaacacbbccbbcaccbbababaaaaaabccabbabbcacacbcccbaaccbbbabbacababacbbbccaaaacbaabbbcbaacabbbabbaacbbaaccbcccaacaabaaabcaccaaabcacbaccaaccbcbababaabbaabcabbbcabcbacbccbbbaabbaacbacabcbaccabaaaabbacacbbcabcbacbbcbcaacbacacaaabaaabbccbbccacbabaaabcbabcabccacbbbbbaabacbccccbbaaabcabbcaacacacababbbbaacacccbcacacbbcbbccbacabbccbaccaabbaaabcabccaccbbbaabbbbccacaacaabcbcaaabacbbbbcbcbbbcacbabbbbaaaccbbbcaabaabbcacccbbbcbcbbcbcbacbbbccacacabbabaabcacacabaabbcccaabccbccccbacccbcbbcacbbccbccbccbccaccaabcacabaacbbcbaabccabaacaacbbabcccabaaccaabbcbaabaabacbaababcbccbbbcbbabccacbbaabacabbbbcbaccbcabacacbcbcaccbbaaaaaaacbbbbccabbaccaacbcbbacacaabbccbbcbabbaccababbbcccbbacbbcaabcbcabbcbabacabcabaaaaacaccbcbaaacaacbbbabaaaacbababbbaababccbbccabaccaacbacccccaccbcbcbcccacacacbacbaccaaccaaaabcbaccaaacacababccbbbaabbacccbbbcaccccaacaccbcacaabbbcabbcbbcbcbaacacacacacbacbbabbbaabaaccbcbacccaacbbacbaccbbbabcccaccccbcacbbabaacacbcbcbabcacbcbbcbbbccabcbcaaabcbaabccbaabbcccbcaccccccabcabcbcbccbbccacbaacacbcbaaacacbabcbbabcbcbcaababbbccaaabaacbcacaabaccbbccbcccaccaabbabbbccabcccccaaabbcbaaababaabcaaccbbbcacbcabbbccbabbbbbaaacaccbaababaacacbabbbbbbaabcaaabcbaabcbcacabccbbaaccbababbbccababbbcccbbcaaccbccbaaaaacaccaccbcbaabbaabaaaababcabcbccbaaaaabaaabccbcbbaccbcbccaabbcbcabaabbacaccabbccbcacbabacbbccacbbcbabcbaaaabccccaaacacaaabaccbbcccbcbabaababbcbbaaccaccacabccbaccbbbbaccabcbcbbababcbcbacbaabcacbaababbaacbbbacbcaacaabacabababacaabaabaacbcbbbbcaccaaabccbaaacbbaacbbbaabaccacbcbaacaacbcabcaacaabbabbaabaaaababababcaacbabcaccccbcbbcbbbacabcaaccccbcbccbcbacbaaabcacbbabbbbbcbbaababaaacabaabbababbbcbababaabcacbaaccccabccccbcbcacabccacaacbccbabcaccbaababbbbcababcaabccabcaccbaabaacbbbccccabcaacacbccccbcbbabcbacbacccacbcccaacabacccbcaccaabcaccbbcccabcbacabbcccbccbcaabbbaccbabbcacaaccbcbcbbaaacaaaaabaaaccbaaacabbccbcacaccaabaacaacaacabbcbccccccbbabaabccbaababccccbbbbbcccccbaccbcbabcccaaccccababacbacaacbaaccacaacbbccccacbbabbaaacaaaababcccbbacabacaacacaccabcbacbcbabcaabbcbbaabacabbccaabaacbaabacabbacbcabaaabcabcbacbbcbabccbcaacbaccccabcabbbccbbbccbbbacccaccbbacbabaacccaacabbcccabcabcaaaccaaccabacbbccbacbaacbcaccccacbccaaaccbbccaabbabcabbacaacbbcaaacaccbcaaacbaabcabcaaabcbbcabcbababcbcbbaabaccbbcaacbcccacaabbbbccbaaacbbaabccbbcccbbcacbabaacabcababccbaacbbbabaacabccbbcaabbacbcacacbcaaaaacaabbaacaacbcccaacaacbbabcabccabccbbcaaabcbcbcabcabbababcbababcaabcccabcbbccbccbaacacccacccaacbbaaccabccbaaabbaabcacaccbabaccbcbccabaaaccabbaabcbbaccababaabaacacbbbbbaabababaaccccccacbabccbbcbcacabbbaacacccaaccccaabcccbaabcbbcccacccccbaccabacbbbccbbaabcabbcabbbaaaabccbbbbbcabababcbacacbcccacbbccaaabcbcccaabbbbabcabbbbcabcbbccacabaaccababbacabaaccaacccacbabcccbbbcbaacbcbabbaabbbcbbbcbababccbcababbcaacbaaaabccbbccacaacaabbcacbacbababcabbacbbcccababbbbcabbabcbbacbabaacabababaabbbccbabaaabacbbababacccabbbcbcbabcabbaaacbaaabaabacaccacccbcabacbcacaabaabccbbccbcaccaccbabcbbbccbbabaaabcbcacbbbababacbbacbbabbbcaccbbcccbabaabcacbcbabcaccaabacbabaabcacbbbabbbabbaacaabccabbcbacaccbcaccbcabcbaaaabbabaccababbcacaaabaabcbacbabbaccbabcababbcaccccabcabcacbccbaaabacbbabccbbbbbbbcccbbabcaaabaacccbbbbcbbabccbacabcbaccbcbcaccaacbccaaaccbccbbaaababaabbccacabccbcababccbcabaacbabbababbababaccbbabbcaccbbaaaabcacbbacbccccaaaaaccbacbabbabccacbbcccacbcccabaacbcaccaacbcccabbaccabbabcbcbcabbccbccaabbcbbcbacccbaaaabcbcbcbbaaaccbbbababcabcaccaacacaaacaacbacccccababaaacbaccabcbbcabbccbabbbaaaaacbbacaabccabaacabbaaccbabbacaacbbacaabaaaabbcabcccbccbbaaabaabbccbaaccbacaaabcccaccbccabcaacbbabcbbbbaabaacabcacbbaabcbaacbbbcacacccccbaacaacccababcbbabbacaacabcaacbcaacbbbbcbaaabaabacabcbabcabcbacabcbcbacabaaaaacaaaccaccbccbccbbbbbccacaaabbacababbbbacbacabbccaaabcacbbaabbcbccbbacababcbbabaabaaccaabcaabaaabbcaccacbbcbbccbcaaabcababcbcabbcbbbbbcbabccaabbaaacbbbbcabbabcbcaccacabcccaacacacabacbacbbbccbabccbccaccacbbbbabbaacccbbccbbaaabbabcababbbccaccbbbbbcaabaacbaaacabacacabbbacbbcaaacabacbbbbaacabcaccacbbbcbccacabbabbcababbcbcbcccbaccbaabacababacccbabacccaaaacaaccbbabaabcbbcabbaccbaababccbbabcacbbccbcbabaacabbccccabcaccbacaabacacabbacbcbaaacbbacabacaacbbcacbbbabcabbbcccaacabaabaacababbbcabacabcaabaacbbbabccabcaaabacacbbccaaabcccaccbabccaaabcbabbaaccccbcbcccaaaabcabaabbaaccabcacbbccbccaccccbacacabacbabcabaabaaccaccaccacbccbbcbcaacaacbbbabaabcacbccacccaaacabccbaaccccaacacbcbcacacabcccaccaaacbbaabcbaaccaabcccbbabcabbbabbaacaacabaccacacccacbabbcccabacbbaacacbbbabbbaaccbbcabbbcacbccaacaacccaacbaabaacabbcccaccccbcaabaaacaaababccbbcccbbacabbcbaacbacbbabbaacabbcabbcabaccbccaaabacaccabcbcbccabbabcacbacaabcbbbcccaabbbbbaaacccacbbbcbccbacccccbccbcabccacacbbbccbaabcccaaaaccaacbcaaabcbabbababacacaabbcbcbcabcacbabccaaaaccaaacaaabaccabbabbbcccaaacaccaacbbbbbabbacaccbbaabcbbbcbbaaccccbcbbcacbcccabaaccabcbccabaaccccccaaabcacbbbaaccbabaacbaacabcbacaacacaabacacabbbccbaacabbbccaaaabaacbccababcbcaccacbaabbbbcaabbcabbabbaacaacbbccbaacacacaccbbaaccbacaccccbababcacabccccbbcbbaaabaaabbaaaccacbacaaabccabbbaababbabccbbcbacacacabccbccbbabccacccaabcabbacbbacacbaccabbbababbaabbbbaabaabccbcbbcbcbacbabaacccababccacbcbbbaabcacbabcabbbbabcbcbbbcaaabbbcbbacbbbcacabaaaacbccccacbccbabacccacbbbaccccbbccaccbbcaccccbbacbbccccaabbabcaccbcccbbaabcabacbbbbbcaabcaaabacccabcabbacbcacababacbbbcabcaabbbbcbcaaaabbcccacaaccacbccccaaccbcacbbaacbccbbcbcaacaaaaacbaacccbaccaabcbbacaccacbabacaccacbbcabccbbaccbacabbcabccbaabbaaacabbbbaccbacabbbaabbcacaaccbcbabcabaaabccacaacaaacaaabbcbaaaccaccbaaaacbbaacaacbacccbcccbabaacccaacccbaacaabbcbabbcacccbbcababbbbbbaabbcabbbbacbbbcaabcbbacaabacaabcabcbaabbcbbcbcbaaccccbaccbaaacbaaaaaccbacaaabbacbcccacbacabababbcaccbabbcaaabcccbbccbbaacbbbaaccaaaacaaaababaacbcacabcbabbbabcccbbbbababbcbaabacaaaabaaccabcabccabbccbbcccbbabcbbabcaabccabcaabbcbcbbacbbbcacacbbbcbbccbbaaaccbcbabbbcbbbcbaaabaabcbbaaabcbbccbaccbbccbaccccbaaacbbabbbbaacacaabacacbcbaaaabbcabbaccbabbacacbababbcbbabcaacbcbaacccbcbccaacbcccacaaccacbcbabaccaccbbbacbbbcabacaacccaaabaaaccabcaaacbbaccacbbbcabbccbaccccaaacbcbbbabccacccbcbabaacaacbcccababbcccbbcacbabaacaacaaaacacbabbaaabcccbaacbbcbaccabbbacbaaaaccacacbbcccbbabbcbacbbcbcccbcccccbaaabbacaababcbbaabaaaabccaaacbcaabaabbcccccbacbccababbabbbcbbccbcaacababccacbccccbbbcbaccbcbcccabcbcaccaccbaacaacaacccabbcaacbccbaaaabbacacbbcacaabccbbcaaaacabcccbacacaacccacbbbccbabbccbacabbccaababaccacbcbcabbbbaabbbccacabbccbaabbcbcbbccbbbbcaabaacacbccccaaaacacabcccbacbbcbccbbbcbacbaaaabbacacaaabababcacccabcbbaabbabbacacbcbaaabccbababccabbbbbbbcabaabacbccbbcbbcbcacbabcccaacccbacaaabbbccbaccbcbacbacaaababccabaabcababbbaabcbaabbbabbacaaabbabaabbcacabcbbbbbcbabbaaaabacbacccababababcabaaaacaaaccaaacbcacbbaacbbcaabcbcabacabcabcabccccbcabcbbbccbabbacbcbccacaccacabbabbcabcaacaabbbcabccababacbbaaaabccbacaacbbbaaacacbbbbabaccbabcaaacbbaaabbbaccabaacaccaaacaabaccaacbbacccaababbabcbaaaabaccbacccaccbaabcababbbacaaaccbbabbbccababccbcbacababacacbbaabababcbcabbbaacaabaccaacbcaabbccaccabbbabcbcacacacbbacaaacccaacbacbaabbabacbcbbabaaababbcbaabbbacbbaacbacbbccacaacbbaaaacbbbbbbcbabbcbbcbbbcbbcaaacbccbccaaaacbcccbaaacccabbabccabccaababccabccaaacabaabbcbacbaabaaccbcabaaacaabcabaabbbbacbccabcabacaaaaccabcbacccccaabbaccbbcbcbcacbcbbacccbcabbccaacbbcacacabaabccacabbcaaaacaacbcccabbbaabccacbcbcbcbcaabccbacbbabaabcabcbbcababcbabbabacccccacbcabcabaaacbaabaabacbbbcabccacbaaacabbacaccabcabbccccbbaabcabbbbabaabaacaaccbbcacbccacacaabbcccccbcacbcbaaaaabcbacbbbbaaabcccbbaababbcaacaacacbbaaaaaaabaacaaaaacacaacbabbabacbaacbcbcbcbbabcabcaabbcccbaaaccacccccabacaccaaabacabcbccbbbcaccbaacaaaabaaaacbbaababcbcbcacabccbbbccbbacccccbacbbbbccbcabacbabcbbacbbccacaaacccbbaaabcbacabbcabcaccbabaccacaacacccabcbaaabcccccaacccbbaaabbabccaccbcbbccaaaaabacbacabcbbaacaababcbbcaabacabcabcbacccbaccacacbaaabbaaabaabcaaacacbabbbcbbabbbcbbbabbbbacccccaabcbcabbbcbbbbbaccaacacccbbccacabaabaccaabbbcbbcaccbabcccbcaaccabbaaccabacbbbcccaacabacbcacabbacababbbbcccbcbbcaacaccccccaccaccaabbacbaabcacbbcccccbacacaabaaaaaabbabacbcbabaabccbbbcacbaabaabacbbabbabbcbcbcaabcaabbbcabaccbbbaccbacacabcccbbabababbbbbbccabcbcaaacbacbcababaaabcbabbbcbcbacacbaccabbcacbcababcacccabcaaabccbaabaabcbbacbaccbacaaababbacbccbcabbbcbabacabbbaabbaaacaccbccaacaaccccbabcabccbbcccabbbcbcbbcbbacaacbcccbcaaababbacbcaaabbbacaabacbabcbbacacccabbaaaababcaaccaabccbbbbbbcabacbaacccaacbbbcabbccaabbcaaacabbcbbcbcccabbccababbaaccacbbbcbbabacaaaaacacacacbbbbcbbbcbabaacbbccabbabcccacccabcacccccaccbcabacacaccababbaaabbacbbbaccaaacabacacaababbabababaaacbbbabccacbacacbbbcaabbbbbcaacaccaabaaaccbcbbacbabbabbcbaacacbcbcbccabcbccccacbcaccaabbcacccccbbbcbabccbacaacccbbacabaaabbccbbcccabbaabbbaacabcacbabbacaccaccacccaacccbabccbbbacaabacbccbbaaaccbbbbbbacbbbbaabacacaacbccbcacbaaabbbbcacbbacbcbbcbbabaacbbbaacbbaccabcacabbbabbacccaabccbbcbaabccacaaccabaabcbaabcababacbaababaaccabbaccbcbbbacbabacacaacbaabcccbacabbaccbbbbcabaacbabacacccaaccaccaacaabcaabbacabaabcbcbbabbbabcaabcbcbbbcacbcbaacabccbaaabaaaaacbaacbacabacababbccacbcccccabbbbccbbbaabaacaccbcaaababacbbcacaacbaaacaabacbccabbacccabbbbaccacbcbabcacacbabbcbccacbbbbabcbabccaaccbcabbcbbabacbccacbbbcacbbacaabbbacabaabbaabbbaccbabacbbaccaaabbcaccabcacbbaacacacacaabccbbccabbcacababbabccbcbcabbccabcabaccccaabbcbbbcaccacacbacbabbaabacacaabababbbbbbcabaaaccbbacccbababccacbaabcaacaacbcccccabaacabcbbaccaccbbccabcbbbaaccccbcbcccbacccacbbbacbbcccaaabbbaaaacbacbcabacbccbaaabbbbacbcacaccbcbbcccccccacbbbacaabcbcbbcbcbcbbbcaacccccbcbccbabbcbcccbaacbbabaaccabcaacbccbbbbacbaccbcabbbcaaaaacbacbcbcbababcbacccbbcbbcbbcbbcabbbcbbccccccbababccaaababcaccabababccaabbcccbbabcccabbabcbabbaccaaaccbbabbaaaccbcaaaabababcbaaaacbbcacaaccbbaabbaaabbacbaacbabcaabaacbaaccbacaababccccbabaabaabacabccabccbbbcbcbaabaacacbcbccacccbcbbbaacabccbcaaccacbbcabaaaacaabacaccbccbbbcbcbbcbbaccbccbbccbcaaabccbbcbbcccbaaccaccbbbcccbcaaaabcabbcbcaaccabaacbbbbcccacaccaabbacaaabaaabcacbccbabbbbaaccbbbabcabbbbcacaacaabcaabaaccbccbcbacbbcbaabaabccbbccaacabcccbcccacaabbbcaccbccabacbbcbabcbcbabcababbbbbcbbcccaccbcacbabbbbccccbbaaabbcbcaaccbaacbacbcacacccbbbbbcccaacbccaccabbbccccacbcacbabcbabaaabcbabccacbacbacbaaaccbcabcbcbaacbbbbaccaabcbbcbabcbacabbbbaaaaaaccbabcaaabcbacbbbcabcacaccbaccbbbccbbccacabcccbcccbaaacbcbbcabcbbccbcbacacabbabbbababacaabababcbcbaacaabbbaabacbaccabbcacacccaccbbabbbcbcabbcbbababcbbbbcbbbacccbbbcbbcbbcccaabbbacababcccacccaaabaccabbbbabaacbcaccbcccbbcaacbaccccabbbcbbaaaaaccbbbcbcabcbcbbccbabaaacabcabaccacbacbaccbcbaabbabccbaabbabacaaacccacbaacbbcbcbabbbabcbcabaccbabbbaabaccaaaabbbcabbaacaacaabbaaabcabaabaacaabcbcbaacbbababbaacbbaabcaaaababacacbacbbaababbbaabcbcbbbaabacbbbacbabccacbaabbacaabbaaccbaacbcbacbcbacaabbbabbcaaaaabababcacabaacccbabacabccbccccbbcbabcbcacbbabbcacbbcbabccacbcbccbccabcabaacbabbbacaaccaabacccbabacbbbccbcbcbabccababbccaabcbaccbbabcabcaabcaaaaacccacbaacbbbbabbaaccaacccbbbbbbabbaababccccbacbcbcbabaaccbbaccacbabcaaacaacbacabcaabbabccbcccaaccbccccacbccccccaaacccacaabbbacaabbabccaabbaaabbacacbcbbcbcccacbbbabcbbaabcabbbbcacaccaccabcbccabaccbbaacbbcabacabbbcabacabbacbcbaabbcacabaababbacacaacbcbbbacbbbaaabaccbbaccacacabbababbbbbbbbaccbaaabaccbcccacaaabbccbccbbabacbcbcacaaaabcabaccbbcabccbbbbbcccabcaabbcacbcbccaabcbcababcabacaccbabbcababbbbbbcbbbcccccacaaacabaacabbcacaaabaacacaacaaccacabcbcaaaabbacacccccbaaacbcbbcaccbcaccbbaacaaaaabbaaacbccaaccbcbaacaacbaaabcbcabcbababbcaaccbabcaabaccabaccaaaccbcaaabcaabbccababacbbbcbbbcacabbccabcbccaaaaccccbcaaaacaccccbcacaaaacbcaabcbacbcbbbacbcbabaabaaaccbabcabcaabbabccccabbcbaacacbccbcbcbacbbcaaacbbaaaabcbcbbccaacaacccbbbcccbcbcacaabbaccbcbcabacacbaaccbabcacbaccbaaabbcbbabacbcacbcbbbaabcaabcccaabbcabcccacbaaacaabcccabaaabbacaabccbabaaacbcaaaccbcbabcaccbcabbbabbaabacbaccaabbaacabcbababcacabbbccbcbbccacaacbccbccbbbcaaccbbccbbcbbacbbaabaaaaacbcabacbbcabaccbcabcababaacacaabbbacccbccbbabababaacccaabaaabcabaabbaaccccbbbabaabbccbcbccabcccabbccbababacbbcbcbbaaaccacbaaaaabacabacbbbabccccbbbcbcbcabbbcaaabbaaababacaacbaaabbaccccaabbabbbcabccbcacaccaaacabcbaaabcbbabaccaccabaabcbcaaabcbcaabcccbbabbcbaabbbcbaccabcacaaabcccccbabbbbaaaabcccbbbababbaaccbcacabbaabbaccaccacbacabcccaacbcbabaabcacaabacabaccaaacabaaacbcaabacccabacabcbaaaccbccccbababbbcaabbaaaacaaabbaccaccbcccacbbbbababcbbbbaabaaaacbcccbbbcbbacacabbbbbbcbaaababcccbbaacabbbababaccccaaaababacbacaacbbbbbabbcaaacacbabcbcaccbccbbabcccaaaccccbabcbbaaabbbbbbaaacbabbacabbacabbcbcccaacacbccaaccabcabcbbbbcbaabacabcbabcbabcccacccacaacabcabccccaccbababacccabbbabcaabbcbbabbbcbccbaabcccaababbbccabbacaabcabaacabaaacabbaaaaaacccacbbbbbcababbbcccbabcaacbcaaccaacacbacaabcbaaabcbaccaaaccabbaacbbacabacacbaaaacbbbbbbcbcacacacaccbaabbcabacaabcaccaabbbcbccaacbabacabcacaaaabacaccccabaacbbabbbbbcaccacaaabbbccaacccbacaccbcaccbbbccccbabaaabcbcbbcbabbbbcccbacaaacbcbccacaacbaccbcbacbacbacaaccccabacbbaacaacaacccbcbccbbbbacbcbcbacaacabacababcacbbcbcbabcacaabaccbbcbaacabbabcabccbbbcacccaabbacbbacacababbbbacbaabbbabcabbbaaabcbccacbbcbacabccabcbbccbbbbbbbbcabccabccccbabbaaabcbacabaaaacbaacbccbacabbacbbbccbaacaaacaaccbabcccbccabbcacccaabaccccaccbcaababbbacccbbccbabababccabcabacbbccbcacacccacccbaaaaccbacabcccccaaccbcaccacabcabbcbaaaabbacbcbcababcbbaabbbbbbccabaabcaaccbcaacabbbbbbbbbcabcacbaaaaaaabccaacccccbbcbbbbccccbacaaacccababbbaabcbbcccaacbcaaabaaaaccbbbcacbcbbcbacacacacaabbabacaabbacaaabbacbaabbaabacaccbbabababcababbabbcacaabacbabcaababacccacbbbcbcbccaacbacbbaaaacabbcbabcabbccbaabcaabcbcacacacabcaabbcabacababaabaccbcbbcbbabaaacbacabbbaabbcaccacbacaaababbccacaccccacbabaabaaababcccaccbcaaacccbbaaccbbccbbbccabbacccbcccacaacacbbaaaacbcaccaabcccccccbbaccaaaccabbabbbbbcbcabacacabbbbccbbcbacbcabbcacbbbbaccccbaccabbaacabbaababbbcbcbccaabcaacbcbbcbbaabacababcccccaaabbbbbabcacaacbcacbbcbbccbccbcccccabcbccbcabbbabbacbabcaccacabcaaacbcbbbacabbcbacabccccabcaacbbacaabbbbcacbcabacbabbaacabbbbaacaccabccacbcacbcabbcaaacbcabcbbcbacbcbbbbcccaabccbaabbbaaaccbbbccbbccbbbacbbaaaaabbcabbcbbbaccabaaaccbbaacccaaccccbcabaababaabcbababcccabbbccbbbccbacccccababccbabacabccbaaaccbabbccaaabbbbcaaccabccbabbcbbccbbaaacbccbacbaaacbcbbbbacabccbcacbbbacbaaaacbabbacaaccccbcaccabcbbbaacbcacbcaccaabacccbcbacbbbcaacbacbbaabcbbababbbbbbcabaabccbaccaccbbcacacbccccacaabbccbcaabccbaaabccabbaccacaaccacacbaccbcacbcabaabbcacacaaaaaccaacacacbcabbacccccbcabcbbcbcbcbcbababaacaabaacabcaaabcabbcbcabcabcacaccbbababacbcabababbacbaaabcccaaababaaacabbcbbbaacbcbbacaacbcbcbabcabbaaaacccbaabacaacabbaaaccabacbabacbacaaccbccbaccbccbcbcabbbbbaaabbbacbcbcaabbaacbaaabbaaccacabbcbacbaacbababcbabbabbcbcaacaacacbababaaacbcaabcaccbcbcccaaaaaccbcaccbbbcababccaccbcacbabaccbbcacaabacccaabbcccabbacaacaacbcbcbbacacabacacabcbbcacbbaccccbacbccaaaaacacccbbcbbbacbcbcababbaabbccbbbccbacbcbabbaabbbacbcbcccccbbabbacccbcabbbbbccabcaacaccacaccacccaaababacababbabaabbbbaaaccaaabccaabaaabccbacccbbcacabacabcabcaccaccacabccaccbbaababcbcbbccbbbabaaccaacbcabacbaaacccbbcbcabcbcbbbcccbbcccccbbcaacbbbcabccabbacabaaaabcabcccccbbbabbcbccaccccacacbaaabbbcbbcbcacabcbaabaababaaaaabaaabcbbacabaababccaacacbabcaccbabccbbcabacbbbaacababbcccbbbbcabcbcbccaccbaccaacbbbbbbcaabcacaccaaacbaccacbabbcabcaccbbcccabaacaaacbcaaaabbaacbbacabcababcabcccccacbcbabcbbbcbcbcccbbccbccbaabbcaabababbccbabaababbcbbbcbcaccccaaacbbccccacaacbaabbbbbcbbbababbcbcbaacabbccaacabccbccbbaacbbbacbbbacccbcbaaacbbaccbcacabaacacccacaabaaabbcccbacbacbcacacaaaaabcacbcacacbaabbcababccacacbcbbbccbccbaabbcbbbbcabbaacabaabacacbccaacacccabbbbcbcbaaabcbacaaaabaabcabbacbcbbbcaccbcabccbacabbbccbcabaabcbabcababacaacaccabbccbaabccabbaabacccbbcbacaaaaabbaabcccabcaaccacabbcbbcacaabccccccbccbbcabcbccabaccbbaaccbbabbababcaaaccacbbabaacbaccbcbbccbccbbcaacbbacacbccccacbbbaaccbcacbbbcccabbcaaaabccbcaaaacaabbaaabccccbacbccabbabbbacbbaccbabcacccacaabccbbacbaaaabacbabbababcbbaaacabaccbccbcbacacaabcbaabbbaaaacbbbcaaccbbabccaabbacacbcbcbacabcacabcbcaabccabcacabacbbabaaaacbacabaacacacabacccbcbbacabaacabbccbacbbbacaccbbaaccaaacccaccbbcbcbacbbbbbacabcbbaaccbbcbbbbaabbaababcbbbabcbaccacbababbbcabccbbbccaaaabbacbaabcaabbcbbbaaaabbacbcbaaccbcbabccbbccababaaacbbbcbbacbbaabaaabbccaccaabbcacbcacaaccbbcabbbcbccbcccbcbcbbbaacbabbccaccabcccbabaccacababcccabbababbaaabcacbbbbbccaaacababcbbaaabccbbccbcabaabcbaabbccacaccacbabbabaccbbaabcaabbbcacbabccbcabbbbacbbacaaaaabaaabcacabccbaccccbaccbcccbccbcbcaabaacbabbbabbcbcbcabaaacbabcbcabbaaccbbbabacbcabbcaaacaccccaabababaccaccacaacacacbbbbbbcbbcbabccaaccabaacccccbbcbacccbbbcccaabaabbbcabbcbacaabbbccaccaaaabcbacabbacccaacaaaabaacaabbcbcaaccbcbcabcbccbacbaacbbcabbcbccbacabcaacacccccbabcbaacbccbbbaacacccaacccabcaabaaacaccbbbcbacccbcababacbaaaaccbccacccbacacbbaabbbcabbbcbccabbacbccabababbbbbbccccccbaabcbcbcbbccaccaccbaaaaacccbaaaccaabaccbacabbaaaccccabbbbacabbbbaccbcbcabbabccaaccbaccccaccaccbcaaccababbabcbcbbbabaabaabaacccccabbbcbaabccababaccbaccccacbaabbacbbabacccacabacbacbaaacacaababcabaccbbcabacacaabbbbabbaabbcaabcaaacccaacaababacaccbacbaababaacbcccccababbbbbcccaccacacabcaaccccaccbaaababccacbbabcababbaaababcbaaaaabbcbbcbacbaabbabcbbcbaaacccbbcbbbbbbccacabaacabbcbcbbcaacbcbbccbbbccccabbcbaaabccaaacccacccacccbabbbbccccacacbccaabcaaccacabbaaccbacbccacaabaacaaabccacbcbacacccbccccbccaaabbabbacbcaaabccaabababcbcbabacaacabcbcbaaabaccaaaaababcabcbbbabaabbcababbbcacacbbbccabacaaccccacbaacbaaccaabbaaccbaaccbbbabcacaccbbcaacacbbbaccbbaaccaaaababcccabbbaacacbabacaaaacbbaaabcaaacbacacbcaacbaaacbacaabaacacbbacbcbbaccbcbcaccaccbaccbccbcaaabbbbcbabcbacaccaaaabcabaaaabcaababccabaccccbaccaaababbabbccacbaaaacccbccaccacbbabaabcabbcababcbbbbaaabcbbbcaaaaaabcaacabaabbacccabbbacacacbacbbababcaacccaaccacccbbcaccacbbaabaabbcbccbacbccacaccbababccccccccaaaaabbcbaccbbcacaabcccbccaabcbcbbbbbbbcbaaaaaccaabbbacbabbaaaabaacbbcbcbcbbaccabcabccbbaacbccabbaaaacbbbcbacccbcababacbcbcabbbcaccccbccbaccaaacaacacccbbbccabcabacabaccbbccbbcccaaaaabbcacacacababbcccacbbaaaababcacacccababcbacabbaaaabcbbcbaccbcabbbcbbcaaaccabbbacbcaccacccccabbbaaaaaaabcacabbacbacacbcaabacbbbacabcbcccaaaabbbbabaaaaacaaccbcabbbacacaccccbcbaccacbbbcabaaaccccbaacbccacabcabacbcaabccaccacccbacabccccccbbbcaabbabbaacabcaaacbbabaabbcbbaccbacaacaccbacccccabacabbcacbbbcabbaaacabaccbaacaaacbaabacaaabcbbcccccabcccbcbbccccbcaabcbaacbbaabaabbbcababccbcacaccaabcababcaaabababcacbaabbccababbacbaabbcbccbbcaaabbacbbaacbcacacbbbababababcbbacabbbacccaaaccccaabacccbbcacbcacbccbbcbbabcbbcbccaacabbbcababbbcbcbaaaaccbacbccbbabccbcbcbbccacccaacaccbbaabcbacaacabcabbabacccbaacbcccabcacbaacaabcabccaababababbcbbbaabbcccccbcbabaaabbcabbbbaaacbabbccabcbbcbaacabccccabbccccacbbabaaacbcacacabcbcccbabccaccccaaabbcabaaabcaaacbbcccabacabbcabcaabacbccabcababcacccbbcbaccbaaccccbcacaaabbbcaabcababbcbbbbcbbbbbaabcaaacbbaccaaccbbcbcbabcabaccabbccbcbbaccbbccbaacccbccaaacbbbbccabbbbcbcacbaaaaccaaacbbabcbabbcaccbcabbaaaccabaaaabccacacbcbbcccabccabcacaabaaabacccacbbcacbabaaccacccbcbaacacbacbcbbcbcacabbbcababaabaaabaccbccabcacaacbaacbaacccaaccbccaccababacccacccccbabbcbacbaaaababccbcbababbabcacbaaabbbbccababbabaabaaaccbbbbccbaabcaaabacaccaaaacabccbacbbbcabaabccabbbabbcccbabcccaccaaabaccaacaccccaabbacbaababaaaabbaaaaaabcbccbcbcbaaaccabaaacabaccaabbbbbaabbbaaacbccaabaaccabcaabbbccccaabbacbaaababbacacaccbcccaaccbccacbbbacbbccabaccabcabbaabbbaabccacbcbabcbcacbcaacacaaacaaabbcbaabbaaabccaaabbbbbbccbaabababcaccbbcccbcaacbabbcbaccaccbacaaccbbbcaabacacbacbaabaacbbaabccababbbbabaabcacccbacabcbbabacaabbacbacccacbcbaaaacaaabccccabbbccacabaaababccbcbcabbcabaaccabccbacccacacbbbccbccbacaacccacccbccbbacacacccabcabbccbcaacccccabbbbccccbaaabbbbaaacacaaabbbaabbcbaacabccbabacbbacccbcacbacababacbbbbcbbbcabbcacaaacccbcaaabcbabbaabcabbaccbacbaccaabbacacbbcabccbabcbcabbaababcccccababacacacbbabbcabcbcbbcacbbabbbaabaabcbbcbbacbbabcbcabaabaaccbbacacacaaababccabaabccabababccbacaaabbbabcbcccaabcbacacbbbccbabcbcbacaccbabbaaabacaabaacbbbcababbcabaaabcabccaacbacbcbcbbbccccbabcbbccaabcbbabbaccccabaabbbccaccabaaccababbabacacbbaccbababcaaccaabcccaacaaacbcbaabbcaabccacbbcaabaccbbccaaccabaccbcccabacbcbbbbccababcaabbcbacaccccabcbbaacaaccaabbabaacbcabbaccabcbbbaccbbaabababbcbababbcbcaaabbcbccbcabbbaabcaccbcaaaccbccbacabcacaccbaacbbacababcacaacbacaabcaacbcbaaccbbbacbbbbbbacabbababbbbcabcaacbbacbcaaaacbbaaaccaaccacabccbbabbabbcbcbaababcabaabcbabbacaabbabcaabcbaabbccbcbccaabcaacacacbbacccccacbcbacbbbaabacaaabcbbbaabccbaabcbcbbabccbabbccacccccbcbcbaccabcababaaccbcbcbbaccabcccbcabcbacabbcbbaaccacccbacabcbababbcccacaccbbccabacaabaacbbccbacabccbabaaaccbccaabacabbbbaabcbbabbbcabbbaccabccaaacaabcbbaaccbabacaccbccacacaaccacccabbcbbbababccbabaabaacaaabbbbcbabcbcbbcababbaccbacbabcbaacabbcaccacaacaabbcbaabaccaabbccccccbaaabbcacabcccaccbbbbacaccbccaccaaabcacbcabacaaccabaaacabccabcbcbbabbbabaccbaaaaaaabbabbacabbcbbcbbabaaaccaccaaccacbaaaacbbbbacbacabaacaccccabbccbccacaaacaccaaaccacabaccbcbbabbcbbcbabaccbbbcbabcbcbacbcaabcccbacbaacbcbabbaccabacaaccbababaabbaabcaccccacaabcbaacbbabacbaaaabaacccacccaaaacacccabccbacbccccaaaacaabbabcbcacabaabcacbccbcaccacbccacbccbbcbbcbbabbcaacbbcacbbacabcabcaacaaccabaccaccccccbbabcccababcbccbcbccaccccaacacbccbacaaacbacbbcccbbbcaabcbaccabcbabacbaacaccbababbabacaaacbccbbccababbcacbbabcbacaabaccacbccabcaaccbcaaccbacbaacbaaacbbbcbcbabccbaaaabaccaccaaacacbbabaccacabbacbbbbacaacaacbaaccabcaccbacccbabbbcacbccbbbacbbabbbabbcacbbcbacbccbccbacaabcbbabbcababacccbccccaaccacbabccccaabbbbbcbccbbbacbcacbbbbbbcbbcbabaaaaabcacacbcbbbabbabcbacaccccbcabbbaabbaaabcbacbaaacbbcbbacbabbcbccccbabbccacaaacaaacbaacabaccaccbaaccacbbccabaaacabcbacaaabcaacbcbccccaaaaabcaccbcbabccaccbbabaaacaabcccbaacabbaaccaabccbcabaacacbabcaabcccaacbbaaaabcbbacacaabcacababbcaaabcaabaaabbacaccacbacbcabbabcbabcabcbccbbcbbbcacbcaacaaacbbbbcabaaabccbaccbbbacaccbbaccacbcaccbabcaacabaaccbcbcabccaaaaaccbcbabcaaaabaaaacabbbbccbbbacbcaabaccaacccbcabbcaccbacccaacaccabcbbbabbabbabaaccbbbbabbbccccbbaaccccacbabaacbcccccbcabcbbcaacccccbabaaabcacabacbbbcaccacccbbbabbbbacccbbbbacababbccabbcabbbcbbcaabcacbcacccbbcbabcbccbccbcacacbaaabaabacbaaaacacacacacccbcacccabccacbabccabbaacaabaaabbccbaacbbcbbbcbbabbcccbacabbabbbccaabaccbbcaabbababbccbcacccbccaaacccaccaacacbbababaabcaaccccababacaccccacbabccacbcbaaaaabbabaaccbcaabacbbbbccbbabaacbbbbcbaaaabbabaaccaabacabaaaacabcccbbccccbcbaababaccbbbabaaaacbbcccacccbcaaaabaccaabbbcbbbabaabaaccabccbabbbccbbacccbcbbababaabbbbbcabaabbcbcbbbbaaccbbacacaacaabacbaacacaccbcacabbbabccabaccaaccbcbabcabcccabccaccbcccbbccbcbbcbababaaabaabbbaacaccacabcbaaaabcbbacaacaaacbacbbbabacaacccaaccaabacbccccacccabcaacaababbbabbaccbccbacaacccbbbbabbbcbccaacbbbaaabcbaccabbacbccbabaccabcaccaccbbbaccccacababbbcacbababcbcacabbaacbccacbbaabbcacbacacbcbabcaccaacbabbbcbacaaaabcbabcbbbbacbabccabbbbcacacaccacbccccabbccaabacaaabcbcbcaccabbccbacaabbcbaacbbcbabacccbcbbcaababbcbbcbcabbacbcbcaccbaabbacccccbacacbaacccacccababcaabacaabaccacbcacabbbcabaaccaaabbacaccbbacaccbaccccbacaccccbcbabbacccbbccaaabbbcababbbcbbaabbacacaaacbcccbcbacaacbabbacbbacaabcabaacacacacacaabcbcbaaabcccbacbbacaaccbcbbaaccacbbacaabacaacaacacabcbbacbbbbbabcbbcbccbbbccbbabaccbabcaccbcaabbaaacacaaaaaacbcabcabacacacaccaaaababacbbbaabaaaccacacaabccaacabccaabbabbaabbcbcbbbcabccaaaaaccbabbabcaaccbaabcaabbaaababbcacabcbcacbbabcbcbcaccabcbccccbbccacbcbbcbcaccaacabccbcbccccbabccccbbcacabbbbbacbbaacbbacabbaaaabcbccabbaaccbcccabbabacaccabcabccbbaaaababccabbabaabaacaaabcabccabccccabacbbaacacbcbbbbaabaacbaacbbabcabbababaaccaacbccbcaaaccabbabccababbcbabaacaccaacbbbcccacccaaccccabbcabbbbbccabcbbcccabbaabbccaaaaaaccbcbaacccaabbabbbbcbacabbbabbaabaacccbccccaabcbbcbbabcbaacaaabcaacaabbcccacacabbacabccbbcbaabccbccaabbaabccccccaaccaabbcabbbaabaacacbacaccabcbcbcabbcbbccbcaacbccbbbcaabaaccbabbacbababbbaabbbbbccbccacbabbbabcbbaaababcacccacacaabbabacaccbabacbcbccbaabbbcabcabbaaccaaaaaacccaccaaabacccaaaabbccaabbacaaabacacabbbcaabbcabccccabaabacaabcacbaacacaabbbaaabcbccaacbbcbbcccbcbbcbbcbacbbbabccaccbbbbaaaaacbbbcaabccacaabcbaaaaacbacaaaacaacbaacbacbcabcacbbbbbacccbbcaacbcbacbbaacbbaaccaaccbaaaaabcbbabacbbbaacccabaacbaaaccacbbccccbccabcababbaabcaaabbaabccccbcbcaacacacaabccbcccaccbabacacbcbcacbbbaaccabcbccbcaacbbabbcababcabbacbacccabacccababcaacaaaabbbaabaaacbccaabbcabbacacaabcacbbaaccbbcccbbcabcccabbccccabbccbbbbcbbcccabbbacbcbacbaaccaaaccaccbabaabbaabcbbaaababcaabccacacbaccabaaaabbcaabcccbbbaaccbbbaaaaabcbabbbaaaabacbcaaacaaabbccbcaccbbaccbbcabbaababcaacaabccacbccbcbcacbbcaacbacaacabaacabbbbaacbcaaccbabccbbcbacabcbbbbcaaacbabbccbbcaaabcabccaaccaaccccccbbccbcbbbcbaabbbcaaaaaaaccbcaaaacbaaccbbacbacaabaabbcbaccaccabbcaaccaabcbacacbbbcbababcacabbbcabbcbbbacacacccaacaabcaabbababaaacbbcbbbbcbbbbbaacaccbbacbcbaabbababbbacccccacaaccccbbcaabbccccbbaccaccbaaabbcbbbccbcaccacacaaaccabcababbcbaccacbabbacaccbbaaccbabcabcbccababbababbcbbaacaccbbbcbaccaaabbccaacabcbcaaacaacbbbcabbcbcaccbaabbbbabababcaabababcccababcaaaacaaaabccbbacabbabccbbbacbbaccaabbcacacbaaaaccccabbcbccacbcabcacaacababcbbccbaabbbbbcbcabbbaaccabbabbbcabaaacbbcacaaabcccccacccabbbcccbbaabbbaaacacaaababcccaabbabcbacbbbcaabacbcbabbcbabcbbcaaaccbbcaabcaabbbccabbabbaabcaaccbaabbbbcbaacbbabcaaabaacaabacaccccbccccacabbbccaccbcbabbabcbbcbbcaaabbaaabcacbccaabaabccabbcccccacabaacbbaabbbccbbaacccabbcabccbabacccbbababccacabbacbaaacbcaccbbcabcbcbbbcccbcbabcacbbcbabbcccbbbccbbbbcacbacbbccccbabaaabbcbcbcabcccaabcbccaccabcbbbbaaabcbaabcbbbbccbabccbaaacacbcbcbaababccbbbababcaccaccaccabcabaabaabccaacbaacccbccbaaacbbcbbaabababcbaababbbcaccbaaccccbbbcbcccacbccbbbccbcccbabccacaaacbababcbccccaacbbcaccbcccbbbccbbaabccaabbbaaacccaaacbbcaabbcacaaacaacbbcaaccbacbbacaacbcacaaaacaccbaaccbbabbccaaaabbcacbccabaabaabababcacbaabbccacacbbbbcbcabacbcbbccbbaaacbaccaaaabbbccaabbccccccaaaaaabbbcbabaabaacabbcaacaaacbaabacaabbcbccbcacbcabacaabbbbcbbbbcbbbccabcaaabaaacabcabbcbcccaaabcaacabaaaccbabccaccaabbcbacbccaacccaaacbabaaabaabaaacaabacaaacbaaabbacbcacabaaccabaabccbacaacacbcccaccabaccccbcabbcabbaaaabcbccccbacabcbbbbcabbbcbcbacbbcacabbbbabaccacbcbbbabaabbbccccbacacccbbcbcbbbcaaacbaccacccbaabacbabababcaccaabcaaacbcbcaacbcacccbbcaacbcabcaaccbbbaaacbccbaabacacbbccbaccaacbccbbbbccbbccbbbcaacaacaaabbaacaaaabaacabababcbbaaccabccabbababacbbaacbaccbcbaccbbaccabacbccaacababaaacccccaaccbcccabaccccbacbacaaabcaacabcabbabaccccbcaaacbbbabcabacacacbbccbbcbabcbbcbcbbbaccabcbcccbabacaabcaacbbcaaabaccbcacccaaaaccbcabbcbccaccbbabbaccbcbcabbbbbcbaaabbcbaacbbaabcbabccbcacabbccbcaacbbcaabaccaacacbaaaaacbbbaacabcaaacacacbaaccbbcabacababbabcbccbaabaabcaabcaaaaababaabbaacaccbbaaacccccaacccacbacbbacaacbabcaaaaacaacccccaaaacbccbaaabcacbabcabbbcbcacbabccacabacbccaacbbccabcccacaabccabbcbaaacaabaaaaccbcbbbccaccccbcbaacacbcbcbbabbacbbccbaaabaabbacabaababccabbcbcbaacaaacbbbbcaabacbbccaaacbcbacbccbbcabaccbbaacacbcaaaccbbbaabacacbabbabbccacaabaabacaabaabbbccbcbbcbccacbcaabcababbaacbacabcbbcaacaacaaccbccbbbbabaccbcaabbbacacacbcabbccbaccbcbcaacbbaabccccbbbabbbabaacaacbbcbbcbbccaabbcbccaabaaccbbbabbabacbabbcabbbacacacccabacbbabaccacbbaacacaabacccbaccbbbccbccabaabbbabacaabacacbccccacbabababbccacbccccbbabcacabacacbcaaacaaabcccccabacbabaababbaaababbbbaacabaacccabacbcbabccaacccbabaabaabacbbcbcbabcbcabbacbabbcbccaaaaabcaaaaaccccbabbbbaacbcbbacacaabacbabbcccbbcbbbbccbccbababababbaacbbaccabbbccccabaccbbaacaccacacccabacacaabababbbccccbbacaccbcabacbbbacabcbaabccbabbcbacabbacbccaabcbbacbccbbccbbacaabacccaaabacaabaaacababbacbacccccccbcaaacbccbcbacbcbcbacccccbbabcbccccccacccabbbcbccacaabaabcaccabacbaabbcbabbcbabbccbacaaaabbcabbbcbcbccaaaccabbbcbaaaaccacbbbacccabaaacbcbcaacaabaccbcacbabbacacabccccbbbcabbaabaabacabcabbbaacababacccbaaabaaccabcccacbabbccaaacbcabbbabaaabaaabcbbaaaabbbaaabbacaabcaaabcacbabacbccbbabbaaaaaabbaaabcbcbacbbbcbbacbcbbcabbcbaccabcbabcbcbbbacbbbccbccabbcabcbaabbccbaacbbbbacaccaaccaacaacbbaaacbbcababacabcbaccbbcbcaabacccbcbccbacacababbacaccabacbaaabcbacbcbcaacacabaaaaaabcaabacacabbbabaacbabbaaabbcbabbbaabbbbbcbcbcabaaaabccbbcabacbacbcbccbbcccbcaaaccccbacbcacaacabacbbbacabbacabccacabcbaaaacacacbccaccbbaccbaacabbccbbcaacbaaacababcbcbabbcbbaabcbaccbabbccccaaccbaabaccbccbccbccbcbbbbbbcaccccbaaccbbacaacccbbabbbaacccaabcaaacacabacbaababcccaacacacabcbcaacbcbcccabcaaaaacbcbbcbbcbacababacaabbcabbbcbbccbbaacbcaabbbbabbbbcbbacbabaabcccaaacccaaacccaabbbccaacbacaabbcccbaacbbbbaccccacabbcbbacccaccbaacbacccbcbcaaabcabaccabacbbcbbcbaacbabcaccaaaaacbbacababccabbbbcacccabcaccbabcbccbaacaccbbcaaccbabaacacbacaaaaccacbbabbabbcbbaacaabbcbbacbbbacbabbbbaccbbbbabbbacacacaccccbabbbcabcababbaccabacaccbcbacbabcaacccabbbacbcaabacbbbccbcaaaabbabcaacaacbabccccccbccbbacbbccaccaaaabbcccbbbccabbcaaaacccaccaccbbbbbbacbbbabccaccccbcbcaaababcaaccbabbaaacbbaaacccbbaabaaacacabaccbcacbacccbacabbababbcbcaaabaaccbaaabccbccbaacaabcaabbababbcbaacccabcacaababbabcaacccbcacbbccccbbcbcaaacccacbbbbabccaabcbabbcbbcabbabaaabaaaccabbabccabbbccabbaaaccccbbbacacbbabbcacbabbaaccacccaacbacbccbbbaccbacbbbbbbcaacacbabcbcabcbabbaccababcbccacabbbcbaaaacbbbabacbcbababacbccabcabbcbabacabcbacbbaccbacbacccaababaacbbbbabcaabccabbbbccabacbaabcaabcbcaaccbabaaaaccacbccabcaaacbbbbabbcbbbabccaaacbbbcaacccacbcbbbbaacbabcbcbbabccbabcacaacabbaacababccacbaabbacbbabaacabcccbaaaccabbbbbaccaccabcbcccbbbbbaaaabaccaacabcaccaaaabbbcccbbaaabcacacbabaacbabaaababbbacaaccaacbabcaacbaaaabcaaabbcaaaccaabccbaaccacbcbbcabbabbcccbaacccabcacbbcacbbacacccabcacbcbaaacabcbcaaccccaabaabbabcaabbaaaabbbababccabaabcaabaaabaabbacabbaccbbababbbabcccaacbabcacaccbaabacbbaacbbbacccacaaabaabbbbaacbaccbabccbbabaccbbabbaabaaabaabaacabccaccbbabbcbbcbaccbbbbcabbcacaaabbcbbbacbaabbcccbccccabcbcaccbaaacbbcccabaabbbbbcabcbcbcabbbcbbbbbccaabbbcaabaacabbacaaacbccbccacbccacaaacbbcbacccacaccbccbccbacabccbababcbcabbcbabaaacccbaaabbbbabbaabccbccbababcbcbbaacbbccbbbababcbacbaabbcbabcabccaabababcbaccbabaccccbcbccaaccbbabcbaaabaaacbaccabbabacbcbbacaccaaaabcbbbcbbacbabacbbccbaaaacbbbcacbcbcabccbbacaccbacbccabccabbbbbcaccbcbcbccabacbcabcbbabcbaacaacaccabcaacbbbbcbccccbcaccbcababbbcaacacbbbbcbababbbcccbcbaccbaabbacbcabbcaaabccaaaaaccbccaacaacaaaaccacabaaacbaacaccabcbbcaabbbbbaabcbcccbcabcbabcaaaaabbcaccbabccbabcbaaacbcaababaaccacbccabaacbbbbcbacacbaabbbaaabbbbbbcaaaabaccacbcaabcabbbbbbbcbbabccbbbabacabaaccbcbbbacaccbabbcabbbabbbacacbcababbccabbacbbbacccbcabaabaacbbcccaaabaaacbccbaccacccacccbbbacacbaaaaaccabbbbabbbbaaacacabbcccaacaabcaacbcbbacbcbcbaacbbcbccbccccbcbacbabccccaabcbacbaabcbacbacbbbabacbaaabaababcccccbbcabcbcbaabcccbabcbacbbaabcccbababcbcaabcabcaccacccbabbbabbcbaabcbcbaaacbbabcbababaabbbcaabcbbbcbcaccacbccbccabbabacaaccaabcbbbbcaacabacabbabcaabbcabaabaacbbacbbccbbcacccbcacccacbccaabccacbcccbacacaabbbccacccbacabaaababbbbbcbcccabcccbacccbacccabcaccabcaabcabacccaacbbbacaccbbbbcbaabcacaaaaabacaacaaabaabaaaababcaacabbaacabccbcbababbacaacbaaacabbccbaccccacaabbcbbccabcbcbacabcbccaccaaabbaccabcababbaabcbbccbcabbcbaabaaabbbbbccacababcacabcbaabaabcbbbcabbcbaabccbbaacbabcbabccbacbcacbbccacaaabaabbccbaabacbabbabcccaaaccbacbcbcaacbbbaabbbbcabcabbaacbbccccbbbcaabbaaacbbccbbcacbbbaabbacabaabbcccbacaccccbcccccbcccacaccbcbaacccbcaccabacaabbabcccbbabbbaaccacccabaaacbbcccaacbcbabbcbabaccaccabcacbabbaababbaaaabcbbabbcbcabccccacaabbbcbaaacbaaaaaacbccaabbabcccabacbbbbbbbccaacbccbaabbcbaccaccbccaccbccacbbacbcccbbcbbabbccbcbbbaabacaacbabaabaacbacacabccbacacbaccbbcbacbbcccabcabcacccbacbcaacaaabccacbaabaacbcbaaacbcaacabaaabacabcccabccbcbaccbccbbabccaaabaacccaccbbbbaaaaabaacabcacbacbbacbcaabccbabbbacccbabcaabaabbcbbabbcacabaaccabcbbbcbbcbaccccacbbccbbcaaaaccacacacacbbababbcbabccabaacbacacbbcbcbccbcabcbcccacabaaacbabccbcbcabcccacaccacbcccbacbbcabbaacbcacbaababcaacabacaaabbacccaaaccaccbcccbcaabccaaaabcbcbbaabbabaabbcbbcacacaabccaabcbcbaababaccccacbcccaacabccaabbccbacabccaaabbcaaccaabbacacbcabcaaacaacccbbcabccbcbccccaaacacabbcaaacbbacccaaacbbbabcbcaaacbbccccbbbccbcaccbbccabaaabcabbbbbbcabcabacbbbbbcaabcaccbbbbbcbabbaaabacaabcaabbaaacbbcaccccbabcbcbccbbbbaaaaacccaccbccaccbcccccaacccaacbcbcaccbabbcacaaccbbaaccbbabcccbcacbbaaaccabaacaaccaabbacacbcaacbccbbaaabacbbaccbabbccbcbcbaaabbaaccbacaccbcbcabbbcacabacabbabcbbaacaabbabccbcabcbcaacabbababbabbccccccaaabbaccaccaaabaccbaccabbbabacbcbacaabaaaabaaacaabacaabacabbbacbcbbbcbacbaccbacabccabcaabbbaccabaccbbccbcbabcaaacccaaaccbbcbacaaacccaaabbbbaabbbaacabaabccabbaabcabbcaaccbacabaccabbccbaaccbcbaacbbabaabbcbacbbaacbaaaccbaaabcbccccbcaabbbbabccaabbbbccabbcababccbaabcbabacabababbbbabaacccaaacbabcacbbacbcccccaaaabcabaacaccbccccaccbacaaacacbababcbbacccbbccabcbbabbaaaabccabcabcbccbabbbcbacbbccbbaacbabbbaaaabbaccabccaaabbccbccabaaabcbcabcbbbccccbbabbababbcbcbbbbbcbaacbbcaaabaaacccbcabbbbcaabccaaccaacccabaababcbbaacabaaabbaabacbaacbabcbbcabacbccbacacaaacaabbbcbcbcaacbabbacacbabbabacbccacacbabbbcabbbabbaccbabcacbabacabacacaaaabaaaabbabcbababcbaccacbbaaababcaccbcccbcbcabcaababaaacabcbbbcaabcbbcbccacabbbacabcacacbbbbcaabbbbacbabccccaccbaabacabccabbacbcabcabcaabcabcacacbbcbbbbcacbacccaaaaacaaabbccbbbccaaabcbacaacbcabccabcbabbcbaacccccbaabbbcabccaccccaaaabaababbcbabaaacccacbbccccbcacabccbcaabaabcbcbabcbccccabacabacbbcbbcbccbaaabaacccbabacaacacccccacbbbccabcbaaacaacbccaaaccaaaacccaaaabacbccbcccabaabcaabababacaaaccabbbbbaaabacaaaabcbbaaacabbabaaaccaccbaabbccbacabcccbbaaabcbccabcacbbcccbcbcababaabbbccaccaaccbbbccababbccacbbababccabcabbbaacabacabbabbcccbbbcbbccacbbccabbaaabacbacbcacbacbcacabcaacbacbcbbacacbcbccacccaccbcabaabacabbcaacbcacbabacccccbbcabacacbacbbbabbaabbbbcacccaaaacaacbcaabccbaabcbccbacbaaacbbcaaccbaaccbbaaccbabaabccbbcbabbaacbabccabccbaaaacbcacacbccbabccbacbccbabacaacccccaabbacbaccabcbbccbaaacaccccccbcacaabcaccaaacacbcaacbccababbaccabaabbaacbabcaabbbbccbcbabbcccaacccbaacaaccaaccaccbcbbcaaabcaabbbcaaabcacabcbbccaacbacbbcabbbbbcbaaabbaaaabacabbaabcaaabbaabbaaaaaacabacbcacabbaabaaaacbcacabcacabbbbcbabacccbabcabbbcbbcccbccabcaaaabcbaaacacbabcacaccbabacacbabababbacbbcbcaccccabbbbcccbabbcbaacabaabbacbbcaabbccbaababccbbbaacccaabbcabbaabaccacaaababbbacbaccbbbacbbaabcccccbbcacaabbcacacbbccbccabbccabcacabbbbbbcabbbcccbacabcbbaaccccacaaaabaabccacaabccbcbcacbcbbcbacababbccbabccbbaaccbcbbacbaccccbacaabbcacbaacbbbbacbbacacaaaaabaabcbaaabbbaccccabaaabbcbabacababccaccbbcaaabaacaabcaccccacaccbabbaacaccccbcaaacabbacbccaaabaaaacbbabbccabccbabccacaaacbcaaaaacaacccbcaaacabcbcccccccccaaaccbbcaababbbbaccbacabcbacbbbccbabccabcbbcabbaacccaabccbbcababbbbbbbbabcbcbbbcabcabaccbcaacaaccbbbacbabaacbcbbcbbcacbccacaacababccbaabacaabcaaacbaaabbcaabbbaabbccbbbbccccbbacbccaabcbaccaacabbcccaaabcbcbabacababbaaccbbcacbbcbabacbcbcbbbbbcaccaaaabaacbcabccbaccaaccaacbaacbaababcaacccccbccbabacacbcccaaaabcbbacaacabaccbcaababccabcababbcccccacbabcaacbaababbcaabccbcbacbaaabacbabccbbccabbbabacacabbacaccacaacaccaacbcbacaaacbacbaaacaabbbbabaaababbaaacbaabaaacababbcbcbbabbbaaaaabcbcaaaabbcacacbaaaccabbccbbbabbaabbbacbbbaaccacccabaacaacbccbcabbabbcbcacabcbacbbaabccacbbcaaabbcbaacaacbacbccccbaaacbabcababcbccacaaccaacbacbbaabcbcaccbbcbcccccbaacababcbaacacbbacbbabbabcbccbabababcccaacbaaabbccbbacabccbaabbbbabaaaaaabccbbbacacaababcaaacaaaabacaaaacbcbacbcbcbbbcaaabaabacacabaaaaccacacaaababaacaabbcaacbacbbbaaabbacacabccbababcabbbbaccabcabbbbbbababbcbbaacbbbbaccccaacbaaccbccaabbcbbbbbbcaabcabcaaccbaaaabaccbbacbabaccccbbabaacabbbacbaabcabbcbacacbaacbcacabcaaababcccbbccbababacacabcccaaabbabcacccabbcacbcaacbcacacbbaabacbacccbbbabccccccbbccbcabccaababbccccbacbacbbccccabbcaccbbacbaacabbbbaababaaacbaacabbacaaaababbabbabcacabacaaacacabbaacbacabacacccccbabcbcacccaaacccabaaaccbcbaaaaacbbacaccbbaccaaaccbbcbbcbbcbbabbababbccccaabababaccbbaabbaaacccbcaaccaaabbaabbcccccbbabbabbcbcabbabccbcababbcbabacbbbccabbacbaaacabcabbbbabbbccbaccbaccccbbbbcabcabcabcbcccbcbaaababaacbbacccaccaccababbacbbbbccabaccacbbaacbccaacabbbcbbaaababababcbbcbccaacacbabbacabcbabcbcaccbbcbbcccbbbbbbcabccbccbcbbbcaacacbcbaaccbbcbcbbbcccacaabccbacbbacccbabaacabbacaabaaacbabbcacccabbbababcbacacbbcacacccabbbabcbcbaaabcbacabbbaacbcccbaabccbaccbacccbcaaacaabcbbbaccabaccbbcaaababcccbaaabbacbaaacabbcccacaaabcbbcbacaccababaaacbacabcbabcaabbccccbabbaccbccbccbaacaabbccbcbbbcccbcbacbccccaaacccaccccaaccbbbaaaababcacbaccbbbccbbbaccabaabcbccccaaacccbcacbcbaaabcbcaaccbbbaacbaacbacbccbbaabbabbbbcbccaaaacbcabcbccacbbabbacaccaabcabcbbacabaaacccaacabbcccaaccacbbacbccbbbaaccccbccbaaaacbbbbccbbcbbbabbccbbcbcabaaccbacccbbabcbaabbcbcacacccacbbacacbccbbacaabcbbbcbbcabbcaaabccbabccaccbacccacccccbaabbabaabaccabbbaabaaaaccababcbacbcabcbbcccbacabcacaccaacabbbbabcabbbbabaaabaabcbabcbcbbbbabccbcccbabccccacbbccabcbbbacbcbccbcacbccccaaaabbacbaabacbccaaaccacbcabccbbaaaabbabbbabababccaaacacbabbaabcbcabcccbaabaaccbacbbbccbacacbaacacacaacacbccbcbaabaaabbbcbaaaababcabcbbbbaabbaaaaccccccabcbbbbacabbbbababacbabacaacbbabaaabcbcbaababcacbabccccacbccbbbbbaccacccaccacaabcababbcbbbcbcbacbbccbbbababcacaabaaabbcccabbaacaaccccaaabacbcccbaaaabccabbbaababcabcbbccccbcabbcbcbbbabbaaababbcbacccccbaccbbaabbccbcaaaabcbcaaaaabbaaacbcabcabaabaccbbcabcaaaabbbbabaaabbcacabcbbbccaacbabaaababcabcabccaaacccbabcbbcaabaaaaacaaacacbabcbabccbccbcccbcabbabbcbbbabcbbaaabbacbaaccbacbccacbcacccacaaacaabcbacbbacbcbccbbabbcbaaabcaacbbcaccbbbcabaaacbaaacaaaacbabbbbcbbcbacbcababbccbacbbbabbbacabaacacaacbaaaabbaaccabcacacbcacacbabccaccacaacaabbacbacaaababbbbbbaabbbaaacccacbbbbacababbbbbcaccaabcbbaacacacbacccccbcaccbaacabcababacbababaacaaabbabbbaacaacaaaabaacaccaabaabcbababccabaccacaacacababbbacccabbaacacbccbaabcaabcbaaccbbbccbbccacccbcccbbbccacbbaacaaacccccacaacbbcabbccbabbbcbccccccccaacbcbcbabaabaacbacbcbcbbcbbacacbacbcbaababababbacacabababacabbaabcbbcacbbcaaccbaacabacbccccbaacbcbaacabbcbacacaacbccbaaccacccababcbaccccbcbabbcabbccbabcbbbabbcacbbcbbbbcccacbaccaabcabbbbcaaaacbbcabbcbacaacacbbcbabbaabcbacaccaabbccbbcccccaabccbbcbccbccaacabbbcaacbcbccbcbbbabbaabcaabcabcacaccbacaaabbacbabbacaccacbacaacaccbabbbbccbbbaabbcbbccbbccbbbbacccccbbbaaabbabcaabcbccacbccbccacaabababababcbcbcbbccabaaabccbbcabacabbcaaaaacbaabcbcacbbcababccabccaababccaacaabcbaabbbcaabbbcccbacbbabcbbcaabbbabaccbcbaccaaaccabccbbbcbbcbbaaaaccabcbaccbbbbbbcccbcacbabbbccbcccacbaacbabbccbbbbccababccbcbabaaacaacccaccbbacbcbccbbacbccaabcbbbabcacbcbbbcabaacaaabbacbacccccaacabcccabbbccacccbbbacaaccccbaacabcaaabcbbacabbbbaaacbbbcbccbabaaacbcbcbbbcacbabcbaabaaacccababbabaabcccccaabaacacaacccbccbabbccaacbbaaacbaacbaccbaabaaccbcccaccacaacbabcababacbaaaacbcacaacccbbcbbbbcccaabbaccbcbbaacbaabaaabaacccbbabbabbccaababbcacacccaacbcacaccacccacbcacabbbaaabaacaaabbcabbaaababccbaacbcbbcccccbaccbcabbacbbaaaacacccabbabbbbbcbbacccbbcabbbacbbccacacbacbccbbaabcbcabcbcbbbbcaccaacbccbbacacbaabbbbcaacccccacccbbbccabbabacaaabccccabaaaaabacaccaacabbaaabacabbcbcaaaaabbbabcbabcbabbacbcabbbaaaabcbbccbcbbcacaacbaccbcccbccbccbaccabbbbcabcaabbbbacaccabacaabbaacaaacbabccaccbcccbabaabcbababbaaabaaaaacacacaccaacbbcccbcaaaacbabbbcabcaaabbaaccbbaacbabacccabbcccbababaccbabaacaaccabbcaaacabcbcbacbacacacbcbbcbabaabcaccbbcbbccaabcbbccaacccbcbabbbcabbaccbcacabbccaaccacbaabcbcbcbbbcbcabbccabccccaabbaabbacbabcbcaacccbbbccbcccbccbbaaaccccbabacbabcbcabcaaacbbcacbcabbaccacabcaaaccabbabccbaaabbbacacaccaaabccacbcccaaabacccaccaacbabbccccbcbbcaabaaccaaacbcacacbcaacccaaabbababcacccbaaaacabbbcbbbaabbbcbcbcbaccbcaacacbbbaaccbbbaaccbabababbcabaabcacbbccbbbcbbbbcbbcbccbababbcabcbabbcbcbaaabcbbcacbcacccaaacbbaabaaccababacbccbacbbaacababaacbacabcaacaaacabbccacccacbaaabcbcccbccbcaacbcabcccbbababbcaaaaaaccbbbacabbbbacccabbabaaaacaacacbaacbabbbaccbbcbbbaaaccbbcaaacbabacabaacaacbcbccacbbccccaccaacccbccbababbcccccabacbccacabaaabcbcbaccaccbabbaccababacccccbacbcbbabccbabbbcbcbcbcccaacaabcacbcaabcabbcacccbcacacccccabaabccbcaaabcccaacaabcaabcabcabaacbbbabbabbcaacbabcaacccaaabcbababbbcaabbbcbcbbbccacccbababaaaaaacbababbcabcbccbcaabbabaaaabbbbbbcccabbbbbccacabbbcbbbcbbbcbabbaacbababababbbcccaabbbcccaaccaabccbcaaabbbccbccacbbabaabbbcbbbcabbaabcccbccabbcbbbbabacabcbaabacbcaabcbccbbabcbaccacbaaccabaaccbabbcababbacaabcaacccbabccbbcabcbcbacbbcaabacaaacbaaaabbacaccabbaccabcbabcccaacbaacabacbbaacccabbaccabbbcccbccbcacacabbcacbacccabbbcbabbbabbcccacbbbbabccbabbccbbabaaaacabcabbabacbccbbbbbbaabcbcacabbbcbabbbcabaccbccabbbbbcabaabccccaaaccccbaacbbbabacabaaaabaabcccacbccacacaccbcbbabcbbabcabbabbabcabaaccaaacbaacabaaaaccbbcbacbabaaaaabbbacabbaaaaabcbaacabaabcababcabababcacabbbacbcbbacccabcabccccbcaaababbcbacbaccbabcbcabbccccaccabbcabcaccabaabcbbbbccaaabbcabacbaababbaabcbbbbbacbbabcaabbabacaaccabacabbcacabcaccacabccabbcabbcbbababbbaacabccccaabaccccbbaabbccbaababbacacacacbccbcaccbabcbcaccabcaaacacbcbccbcbbbabcbcbbcaabaabcccacccbabaabbaacccbbccabbbcacaaaaaaabcaabbbbaabcccabbcacbababacabacbaabbcaaccacccbbabcbbcaabacaabbbbababbabaaacccbcacabccaabbabacbabcabbbbaccacccaccccbbbbbbacaaaabaccaccbbcbccabaaaaccabaabacabacacacabbbcabacacacaaacbbbaacabbaabcbbaccccaacaccacbbabbbacababbcaaacaaaababaacabaaabcbccbbaabbcccbacbbbbcbabbaacccbababbccbcbbccbcacbcacbbcacbcbacaaacbbacaaabbcbccabaaacbcbbbbbbcbabbabbcbaaacaacbbcababbccaaaaababcbbcbccbaccaccbbcaccbcccccabccabbccbbcbcaabbcccaccccbacabacabcbbbcbccbcacaccbababccbabcbaababbabbccccacacbcaacabaccbaccabcabacabacaaaabacccababaababababcaaaabbcbacabbbacbbcbcccbacabcbcbcaabbbaabbababbabbccaaacbabbcbbaabcaccaabaaabbabaabcbcbcbbccbbcccbabaacaabcacaaaacaaaaaccbcacaccbcbbcacccababcabacbcababbaaaccbccacbbccacbcbacabaabaaacccababcaacbbaaababcaacabbacccaabbacbccaaccabbbcacbababbbccaabbabbbabaaacccbcbabbbccabbaccbccbbbcababaaaabcbababacccaabbccabcbcaacacaccbbaccbcbbabacabbccbccbcccacccaacabcacbcacbacbaccacbccbcbacbaccaaacbaaabacccbaabcccabbbbcaabbacbaabbacbbabacaccbcabbacccbcabbcaaaccaccccbabaccabccabcabbccaabccbcbcacabccabbcbbcabacacbcbcccaabcaccbbaaaaaaacbbacababcccababacccbacacbcaabccaabaabcbbacbbaabaaccaabacccacbccacacacabbaacbbcbcaacbccbcaabaccbbcbbabcbbcbacbbbccbcacabaccbabccacbbcbbcbaccaacccaccabcbbabccabbcacbabbaabbbbbbaccbbabccbabbbbbbcbacbccccabbbbacacacbaaabaccccabbcaacabcabccaaabbcccbaabbaacacabbbbaabbbbcacaccacbcabccbabaabababbaabccbbcccabacbcccbabcbbbbcbbbacabcccbbccbbaccabbbbcaabbcbabbbccccaacbcbcbbbbccabcccaaccbcaccccacacbaacaaabbaacbcbcbbaacbcccabcccbabbbcbbccbcbaccbbbbcbabaaabbcbabaccccbbcabcaaacaabcccaabcaaaaabcccbacabcabbaacabcbbbacbabbccbccccaccbbcccacccabbcbcccabaacabccaabaccacabbbcbccccbaacaaaccabbaacccaabcbbbcabbcbacccabbbaacbcbbabcaabbcbbbababbbaaaaacacbcbabcbbcccbbcbbcbcbccabbcbaaaaaaaababbccabcbcababbbbabaaacacababacaaabacbbaacaaaaacbabaabaabbcaaccabccacaaacbbbacbabcbacbacccccbbcaabbabaaabbbcbccabccacbbccabcacbbbbbbccabaccababacccbcaabaaacbbbbaabbbabbcaaaabcbcbabcaaabbbcbabcbbbaabccabaabbbbbcccaaabcbabbccbacbacacbacbabcbccbaccabcaabcaaaccbaabbcaccacabcbbbbbacacaaaccbbcacabcbbcbabbbccabcbbaaabcbacbcbbcbbbbcbaacccabcccabbaaccaccaacaacbccabccbbbacbcbacbabcaabbacbaacbabaabaabcacaacbcbbbbbcaacbcbaabaaaaccbcacacabccabababacababbcccaacbaaaacacbbcbbabbbbbcbbcbcccbbbbabbccbcbbcbcaacacbbbcaaccaccaccaacacbbcbabaccbcacccbcbabaaccccbaabacccbcabcbccbaaccccaacbbbcccbcbcabcaaabcccabbcbcabaaacabababaacabcbbabcaaccabbbababaabcacacabbacccbaabcabbabcbbcaabbcbbacaabcaccabbacbcabcabacbbcbbbacbacbacbaaaaababaaacbaccaabccacccbaccbaaacaacccbabacabaababcccacababbcababaccbbabbbaabcbbacaccbcccbacaaaacccabacccccbbabaaaccbabbccccbacbcbbcccbbbccacbbccbccbaccbccabaaccaaacbacbacccbcabbccbbabbbbcacabbbcabcaacbbbaaaaaccbbcbbccaaaccbacaccbacaccaaabbcababaaccabcbbaacabcabbbacabcacacbcbabacbabbcaaccabbbbccaabccccbabccbcaaabbbbacbcbccacbbaabcbbabcbabccaabaaabbbbcacabbabccbbbaccaccacaabaacaabbbcbacccaacbcbaaaaabcaccabacbcaaaabbabacbbbabaaabcbaabcbacbbbababbbbacaabacbaccbcacabaaabaaabbbcbcaacaccabacabcabccbabbccbcbaccbbbbbcabacccaabccbcbacbbbabcabcbabbcabcacbabacbbccabcacccaabacaaabbbcbcbaccccabbabbabcbaaabcaaccbccabaccccbcaccbcabbbbbacbbaabbccbabaaabbacbbaabbbcaaacaabbaaaccbccaacaccbbbcbacaacabacbacacaccacacbabaacccbccccabacbcbacbabcbcbacccacabbbcaaaabccbbabcacbaabaacbbaccbcacabbaaacbaaaacccabcccccaccbbbccabcaabbcbccccbcabbacbbcbaaacbbcabbcacabbbabcccbcbcbababacabbbbaabaaccbcccbbabaaabbacbaacbaabacbbcacbbacaababbcabcbcaaaaababaacaccacbbbbababbaabcabaabbbbcabbabacbcacbabbbacbbcbcbcaaaccaacbaaacbbcaacbacbbcbabcaabaccaababccbcbbbabbacabbbcbaacacbabacbaccabacccbcbabcaaacbaabbaabacccbbbccbbcababbbabaaccbbbbcacaacbcbbbaacbbccbcacacacbabaabaacbbbbcacaacabaaaacabacbccaaacabbcbcbbcaacbabaccaacacaabaacacaaacacbcbbbbaaccccaccabbbbcbcacabcbabccbccbbbbaacbbacbacbabcbaacbcbaabcbcbaacbbabbcbaabcbcacbbabbbbbbbbbbbcbacaabcbbbaaabacbcccbcabbcacabcbacabacbcaaccbbaccabaacccaaabccccaacaabcabcbcbbcbbacccaabcababaabbaababcabaaaccaaaccbbaaabbabbcbcacbcccbaaaaccbacabaaaccabcccaaaabcbacbacabcbccbbccbbbaabcbcbbcccacbbcaacccacccccacacaabcaabccaacaccaccacacbaaacbabccabcabccbabbccabaacbabcaccbaccbccbacbcccbbaaccacaacbbbcabcbbaabaaaacbabaababbbbcbaaacccaccababacbababbababbcbbbbacbabaaabcaacabccabcabaaabcbacaccbacbabbabccbaabbcabcbbabaaacbbbbcbbabccaaccacccaacaccabcacabaacabbbabbbcacbbbabccbbbcbcaaacaaccabbcbcccbacabccbacabbbabaabbbbacacacccbcacbcbcbbccaabacbacccaababcbcbbbcabacabcbbaaaabcbaaabccbacaaacccabbcccaaabcacbacbacaccbabaacabbccbabababaaaabacabcbbcabbaaccbccaaccabbcbacacccacabaabcacbcbbccbaaaabccababacbbbcabcacccacaabaabaaacccccaaccccabbccbbcbabbaababcccbbbacbabbabbabaabccbbcaabaabcabbaccbabaacabbbcccabbbbacbabbcbccbaabcaaabbaabcacccccbacabbbaacbcaabcbacbccbbabcbaccbcabbbcccbbcbcbccaaccbcabcbabbbbbcbaaaaababbababbbaacaaccacbbaabcbacccaaacbcaaababcbabbbacacbbbbcaaaacabbbaaccbccbcaccababacccaacbababbacaabacbabbbbccaaccabbaabaccbbacbcababcccbbbbaaccbcccbcbababbccbbccacaaabcabcbccaacbacaaaacbbabaabbbacccaccabcbaabccccbbbbaaaaaaacbcabbbaabbabcabaabababcacacbbaaccccaaacbaaaaccacaacabaccaaaabaacbcbabbaaccacaacbaacabacbbaacccccbccbcbabaccacbcbcbbabbbbbacacccabbababbacbbcacccbbbcababaacaababbcbabcccbabcccbcaabacbcabacaabaacacbaccbcababaaccbaabaabbcccccabcbbbabcabcbaaacbbbcacacccbcccbbcbccbbccbaaaaabccacbabbcacbacbaabcabaacbbcaaacbcacabcbaabacbaaabcacacabbaccaabaabaacbbccbaabababbcbacabbbcbbbbccccabcbbcccccbbccacbbabbaacbcabcabbaaaaaaccbbacbabababbabbccbcbbbaaaacbbbbbabcacacbbbaabbbcbabacabaaaaaaccbbaccbacaccbbbccbbbcbbccabcacbcaabaacbbabcbaabaaacaaccaccaccccccbacccbbcbacbbbacccbbaacbcbcbbaacaaabaacbbacacbbbbaabbcabaaabaaccaacbcbabbbbbcabccbaccacbbacbccccbbbcbaaaacbcabbbcbcccccbcbbabccccbabbbababccbaaaacabbaaccacbcaabbbbbabacccbbbbbaccabccaaacbaaaabcaccbbbcbacbbcabcbaaccccccaabacaccabccabaacabaaccbcabacbcbaaacacaccbbaabbcbbbacacacaabbaaccbbbacbabbcabcbbbbccbaababcaaacacbaacbccabbbbbcabbabbcbccbccbbccccbbbbaacabbbaabbcbbaacabbbbabaccbabacacccaacabacbabcbabccbcbacabaabbbccbacbbbbcbcbcccbcbbbaaabbaccabcabbbaaacaacacbcacaacaacaaaccaaaaabbbbccbbabbccbcababbabccbacacabaabbacaaacbcacbbccbabbacbcbbcabbcbcacababbacabbacbbbcacbbabcbcacabcbacacbcaaaacbccacaaaabaabacbaccbabacaacbccbcaccabaccacbbacabbbababaccabbabbabcbbaaaabcbcbbabbbccaacbbbcbaccccbacbbbacbccbcbaaaabacbacacccccbabaaabacbcbbababbcbabbbbaabbabbcccbaccbaccbaabacbacbcacabbaacbbbbcaccaacbbbccbbbbacabcbbcbbcbbcbbbbcbbacbbaccbbcbabbaccaccaabccbcbaababccbcaaacbacacbcaacaacbaacacbcbcbbbbbaccbcacaacbacccbcbccaaabbcaccabccbcaaccccbabacbbcaacbbababaccbbaaccbcccbbcaaccaabccccaaababbccaccabacabcbcabcabbabaccaaacababcbcabbcccababbcaacabbbbabcbaacbacabcaacaacbbabcaacacbbaccacbbbcbaacccbbacaabccbbbacacbcabbaaabcacbababacccbabcaccbcabbcaaabacbbcbbaaaacbbabaababbbcbbbaccabccbcccabacccaacbbaabaccbbacbbccbbbccbaabcabbbbbbbcaabcbbcaaabaaaabccbaccabacccbcaababbcbaccbbaacbcaaccaaaccaaaabababacabaabcacbbbcaacbbacccaaaababbbccacccbcbbbabacaabccbcaccacbaaccaaccabaabbabbacacbabbabcabbaccbcbacaccaacaabacbbcccaaaaabcbcbbbbcbaacbbcacbbcbcbbcbcaaaaababbcbabacaacaaaabbccbabaabaacaccaababaccabcaacaacaccbabcabaacccaaaacaacbbbaabaccbbabcbbbbbbbabaccbccabcabcbababbababcbcbbaabccabaccbcbabaccbcccabaacabbbccbcbbbaacbcbbccacbabbcbabbcabcbaccabaacbbaabcbaabaccaccccbbcbbccccbaaacbaacbcbccbccacbcaaacbcccaaabacbabacccccccacacabcabccbbcaaccbcabacbaabccbbacabaaabcccbbbcbaccccbbaacbbbaacaacacbcabccbcbcacabaccabccabcccaccacbcaabbbbaaaaccccbcaccbaacbabacbbbacacbaccaccacacbcbbbcaaaabacbcbbaaabacabcbaabcaaabbcbccccbcbbbbabcbbaaacababaabaccbbbbcaabbbabcccbcacabacccbababbccbcbbcbacbababaacbcbbcbbabbbababacccaabbaccacaaabaaaabbcaabcbaccacbbcabbbbabbcaabaccbcaccccbccbbbbaaacaaaccccccaaaacaabbabbccacccbabaaabcbabccaabbabbaabcbaaacaabcccaccaccccbcbbcaabaababcbababaaabbabccbbaccbaabbcbcccccccabccbaabcbcbaacbaabcbaaaabbccbbaaacabcbababacbabacbccacacaccaccbbabaaabbbbbabbbcbbaabbbabcaaabacbcacaaaccabcabbcbcccabaacbbbbbabbcabacbbcbabbbbcbaccaaabbaabbbcabcbcbaabaaaacccabbaaaaaaccbcabbcbcbcccababaccbaaaacaacaaacabbbabbaaaacccabbbacbacbccbccabbcbcbabaabababccbcbaaccbabccaababaaaaaccccccaaabcbccbcaccbccacbcbbbacaababcbbbbacccbccaaacabaccacbbcbbaaabccccbcbaacacbcccbccccabaacbcabbbbbbbaabcbbbabaaaabbabcbaccabaabbcccbcabcbcbacacbcacbaabaaacbaacbbbcbcaacbcaccaabbbabcaccccbaccacccabbbbbcbbccacbbaaabccbbcbcaaabcaacaabcccbcbcccaabccaabcbabacabbcaaacbccbbccbbaabcabcacacbbcaabccccabcabacaacaacacaacbcccbabbccaccacccccaabcaacaabcababbabcababbcbbcaacaaaccbacbababbbccccaacbcaacaabcaccbbcbaaaacaaabbccbccccbabcacbbcccbaccacbbbacbcbaacbabbcaabbacabacccabcbcacabbaacbbabcbabbcbabbacaacabccaacbccccbbbacbbccaacccbacbaccbabbbaccabccaaacabcbbaabbacbcaacaaabbaaccaccaacccbacbbcbcaaacbaaaacacabcccbaababcbaaabbbbbcacabccabcccaacbacabccbaaaaacccaaabaccabbabbabbacaaababbcabbbaacaacacacaabcbaabbacbbcbbabccaaaabcabbcabbbcbbbcabbccbbaaaabbaabaacaabbababcaacaacbcbcabcaacbcbcaacabccaabcccbbccaabbcbbbcbacabbcaacbaacbaabbaaaaabcbcabbcbaacbcabbabcaacacaacabbbcababacccccabaaaaccaabbacccbccccbbbacbcabccbbbacbcaccaaacacbbbaaccabbababbacabcacbabcaabbcacbccbccbabcbaaaaccbbbbaccbcaccbcbbacbcbbbccabccaccabaccaabcbaacccaacaabbacccacbccbabbacaaaababcabcbcacacbcaccaccbabcaacabccacbccbaababbbcbbbcababbcbccaccabaacccabbbcbccaaaaaccabcbccccacabaabbcbccacbbccbbcccbcbbcacabcacaabcacaabbbbcabcabacabaaabaccaabbcabbbabacbabacbcbcccbacaabbbbcbbbbaacbabcaabaccaaaabbbbbaabcabccaabbccbaacbcacbcacbbbbacaaabccaabcbbcbbaaccbcacabacbbacbaabcaccbaababaccbcbbcabccccbcaababccbbacbbccccacbccaacbbabbcaccacacccbcaaabcaaabcaccbbbcaccbbbcccaacaabcaaaccaacabaaabccaaccccabcbaabaabbabaaabcabcbbbbbcabaacbbacbcaacbcacbcbbcabababbababbccbacbcbaabbbccabcaccccbaccacbacacacaaabcaaabacbabcbbbbbbcccaaacbabbccaccacbbbcaaaacbccbbacbabbaabbaccbccaacbccbbcbaacbcbabbcccbbbcacbcabbbcabaabbacbbacacbbcbcbcacbabcaabcbabbccabbbcaaaabbcbcbabcbaabccccbcbccaacacacbcacbcbbaababbbcaabacccbacbccababaacaccbcacacbabcbaccbacbacabaacbcabcbbbabbabccbacaacabccbbcaccbacacbbaababbcbcabcabacbacccbbbbbbbabbccaaaaabaaaccabaaaaaccbabaaccbacccbbcababaaccbbabccbabcabbacbbcaaabcaabbccacababbacbabbcbcbbcbaacccccbbabacacbccbababccbcbcbccabcacacccccccaaaabacaaababacbbbcababcaaccbbbacbcabcaabcbcbbcaccbaaaaabcaaabacaaacaaaaaacbccbaabababcacbbcacacaaaaabbacacbbacabcacbabcabccccccabcabccbbaaaacaacabaaabaccabcccaccbbbcbbababbbacbbbccbaccbbcabbbcbabaacacccabaaaaaaaabccccacccbaccccbbabbaacbcacbccacbcbaacabcaaacacabcabccbababcbbcbcabbabaccbccbcbabbbccaacabaabacacbcbacbacbbcaaaccaacbccababaacbbbcaacbaaabacbaaaabbababbaccbcbcbcaabcaaabcacccaacccaacbcbacbcbcaaccabbabbcbbcbacbacbbccabcabacaabbccbabbbcbbbabcaabbbaaacbbbbbbccaabccbbbaabaaaacbcaccbcbbccbaacbaacabbcaacccbabbaaabbccaababcbbacabacbbabacbcbaabcbbcbbacccccaacaacbaabaacabcbaabacccacacabccacacabcbbaccbcccbbcabcaaacaabbcbbbbabbaacacaccbbcbcbacabbbcaaaacaacccccaacccbcabbcbcaacaacbbbbbcaabcacbbcbccbbcbcabccabaacbbcbacaaccaaaaccbaccacbbaabaccacbbacbcabcbbcabacccacacccaabaccbaccacbcccbccbbbaabacaabbbbcbabccaababbbbacccccaaccabaccaaacbbaaccabaacbcbbbbbcccacccacabacbbaacabcbcccbacccbabaaabbaaaacbbbbcccbaacbbbbbccbbbcacbcacabcbbbbcbcaacaaaaacacbcbabbbbcbbbcbbbbacbaaacbabaccaaabcaaabbcaacbabbaccacaacbbacbbababbbbbaaabbcababacccbcacccaccacbbcaacaaacaabcbbcacabbcbcaccabbacbccbcacababcaaaacccbcccabcbccbbcbabbacacbabbacaabcbaababbaabccacaabbacabbbacacbccabaaacbcaababcccbbbaabbbcbbbcbbbcaacbbabbabcabbacabbcbccbaabcccacbacaaacabbaabcbbabcbbaaaabbcbcbbbbacaabbbcaacccbbbcbcbccccbbccacbbbabcbbaabacaabcbaabaaabaccabccbcbbccbcbaacaaaacbcbcbcaacbaccbacccccacacbaaabacccabbccaccbcabcbcccbbcbbcacccabbbaaaabcbcbbbcacbcacaacbcaaaaacbccabbcbbccbaccaabcbcaabccccbbbaabaaabbccbccacbaabbbaabcabaaacccbacaabcaacbcbcaabccaccaaababacbbbcccabbabbabbbcbbabaabbbabacbcbbabababaabcacbababcbbaaccbaaaabcbabccabbacbccababcababaaaccbacccaccccacacabbcabaccabbbcabcccaaacaaacbacbcabcabbababccbbaaaaabbcccaaacbbccaabaacbcbabccbaaacbacbccbccccbccbabaaaabbbaaccaabaccacabaaacbabbcababaccacccacbbccacbcabaaabcaacbaaabaaabcabcacccbacccaccbcabaabbcaccabacbbcccbcacacabbbbacaaaababbcbcaccabbbabcaaacbcbcaccbcccabbababbcccccbcabacbbbaacabbbbbaabbababacaabccbabcabbcacbabacbbaccabccbcbbababccbcbccaaacbacbbbabcaacbcbcaccccbabcbcacabcacccaacbbcbaabcccaaaabbaaacacbcbcabacbcbbaabccaacbcacaaabbcbaacbcbbacaabccaccccbaacbcbccacbbacbacaaccbbccaacbbcbbbaaacccaaabcccacbbbbbaaacbaacaacaccbbcccbbbababbcbbcccababaaccbbbabaaacbbbccbbbbccbababaacbaccbaaababacaccbaabcccccababbbaccbabbcbabcaaababaabacaaacacbaccaacaabababbbacaccbacaaaabbcbbcbbbcaaacababbcbbbcabaabcccabcbabbbbbbaacacccbbbcaaabbcccbacbacaaacaaaccbacbabbbbbabbcbbaaabcbbcabcacbcacacbcaabccaabaccbabbbbbbbcaaababcaabbcbcbbbbcabacbcabbbbabcbccbacbacccbcccbacaabacababacbbbcabbbbccccabbbcbcccbcaccbacaaaaaabaaacabccaabaacbccaabbaaccacaacaccbcaacbacbababbbcababcbcccabaccbcbbcccbcbacabbbcacccbbccaabbbacacbabacbcaaacccacabccaccbbccccacbcabaaabaabbaababacbaaccbabbcccbccaacaccccacacbaabbacccbbbccccaaabbacaacbaacbbbaabcbcaccbaacccbcabbcccbbcbccbcaccaacacbbccabbcaaccabcabcaacaaacbcaabcbababcbabbaaabaabaaaaabbacbbbaacabbbcbbacbabcbaacaaaabcbcaccbbbacaaccbababcbabcabbccabaaaaaaacbcbcbacaaaabccabcaaaacabcaaacaaaccccbcaacacaccbabcccbbbbcaaaccababbccbabacbabcababaacaaccaccaacccbbbacacccaaabaccacabbcccbaacaaaaacbbcbbbabaabcccabbcccbccababbbcbbabaabacccabccaababccaaabcabaabbccacbabbabbacbacabbaacbcbbccbcbcbbbacbacaaaaabccabbbcabababbbbbcbabcbccabbabcabbbccbacccbbbaabbabaccacacaccacccaabcbbbacabacaccabcabbcbabccccabcabbbacbbcbbcbaacacabbcbaacaabbcbaccccaacbbbbaaabcbbabaaabcbcbccbcbcabaacabacccacbcababaaaaaacccbccababbcbcccaacabccbbbccbcbbcababacbbbcaabcaaabcbcbccbccacaccacbacbaaaaacabccbaaabbbcccbcccccbbcacaacbbbccaacabbbbaccbccccccacccbbaccaababbcabbacbabaabbbacababcaababbaccbbcbbcccaaaaaaaaacaccaaaaaccbbacabbabcccbbbbcabccacccbaccaabbabcabcacccbcbaacbccabcbccabbacabbbaaacbacbbaaccaababbaabaaaccbcaccbcbacbcbccabcbabbaccbbcccacccaaaabccbaccbbcbcccbbcabacbbaabcbccbaababaaccbbaabacacbacacbcaaaaaaacbcbacccccabcbcbaccbaaccbbcaaabbaaaccbcaaababbabaccbccccbbbaabbbaccbbaccbbcbbbcaaaaabbaccccccbcacaacbcaaccbbcbcaabccabbbcaabacbbabbccbbbaabccbaacababaababacbbbaaaaacacabcaacacacacbcabcbcccbaaccbcccbcbcbbbbbcccabbcabcccccbaabcacacbccbcbbbbaaacbcacbcaaaabaaaacacbccbaacaabcccbbccbcbcbcacaccaccbcbbabbccaaccccbbcccccbaaccaaaacacbabacbacacabbbabcbbbcbcccbcbabbccbacccabbaaabbcbabcaabaacabccbccbbcbbbabbccbabcbbbcbccccaabccbbcbbacbcbaaaccaaababbacbbcbabcbbaaacabbabacaacbabaaccbbccccabbccaaabbbcccacacbabcbbcbbbacccaaabacbbbbabaababcbbbacbbccbccbcaccaacaabcacbbbbbcbaccabaabbbbacabbbaaabcbbcbaacaacabaacbcbcacbabaaaabbaabcabbbcbabacabbababaabacacaccaccabbbccacacabbcacacacbaaaabccbaabbcacabcaaaccaccaaacabcbaacacaaabcbcbcbabbbabaccbacccbcabacaccccbababacbcbabbababbbbcccaaababccbccbacbccaaaaaaaccabbbbccbbacbcbbacccacccacbbcccccbacabaccacabcababbacbccccbabacbcbcaccabaaccabccaacaaaabccccbbaaacabbbcbabcbabbbbaccbbccaaabaaaabbccbcbcacbbcbabbaacacbbacbacabbcbccbbbaacacabaacbbaabcaabbcbaccccaccbccacaaabcaaacacacaccaabccccbbbabbccbbbababacbbacbabacacabaababbbcabacaaaabbcacabaabcbbbcbaccbccbcabbccbcacbcaababbbaacbcbccabaacabcacbccccbcabcbaaabccaabcbcabbbbccbbbaabcbbcabcacababbbabbbbcaccabccbabcbcccbaccbbacbcbbccccaacaabbaaaaaacaacbbaacacbabbbacccbcbcbccbabbacbbcbbbacbcabcccbaabaaabababaabccbcacbccccbbcaabbabbcaccaccbaaaaaaccabababbbbbcbacabcccacbbacbcbacababbcbcaccaacbccbacaaacbabcccbcaabacbcccaacbbccbaaabbcbbcabcaacbabcaccbaaaccbacbaccbaccbaccabccbccbabbcaccaabcacaabbcacccbccaacaaccaaaacbbcacccacbcbbaaaabcbbbabaccbacbabacaacacccaaaccabbbbcbbacccccccaaacbbabbbcaabcaccbbccacababacbabcabacbbccacaabaaacabcaaccbccabaaaccaacbbbbbcacacbbaccaaabacbbaccbbcabbcbacbacbabaccacbaabbbabbbacbabbbbcbbcbbcbccbabbcbbcbbbbccbbccabcccabccacbbabccbbacbaabccacaaccbcccaccbacacbccaabcbaaacaacabbabbccbbcbababacaccaabcbacabbbcccaacccabcbaaabbcacbccacabbbaccbcababaabacccbbcabbabacccaacaaaaacbabbcabacbacabbbbbcccaacbbabbabcccabacbabcbabcbcbabcccbcacacbbaabcbbabbbabbbcbcbcacccabbaabaababcaacaababacccacabbbbacbcbcbbbaabbcbcabbbbbbbccbcaaaababcabbacacaaacbccbabbcabacaacacbbbabbbccabbbbbbbacaaaaacabcbcbccbbccbbbacababacacabacaccaaabbbabbaababbacbccaccbbcaabccbaccbcbbaaaaaacabbcbaabbbcccbacbcaabbababbbaccabbbacbcbabbbbaaaaaaabcaaaababacbbcbbacbaabcccacbcbaaabcaabaccababbabbcccaaaacaccaccbccbcbabccccabbcbabcbbccccbcbababccaaaabacabaacabcabaacccbcaabbbbbbaaabaacbcacbbcaccbccbaacbabbbbbaaaabcbabbbabccacbbbbabbcbbcaccaabbbcabaaacbcccabaaccbabcabaaababbbaacacbbcbacbacbcbbacbbcaccabcbabbbacaaccbabbbbccbbcbacbaacabbacacabbabbcbcacbcbaccaacabbcbcbccaabbbcaaabccabbabababbbcbbcacabbabbcacbaaacbcbaccaacccccccbbcbacacbbaabbccbccabcccacaababcacbcaaaaaacaccabcaacaccabbabbcabcbabbaccbbaccccacbcccaacbccccbcabcbccabbaaaacaaaaaabbaabbaacbbabcccbccaaccbbbccccbbbacbacabbbcaabcababcaaabbbbababbabaabacbabccbabbbbabababccbbaabaacaccacbcabccacccabcaabaabccbaaaaaaabccaacccacbacacabaccaabcaabbbbbbaabaabbccbcaacababcbaaacbabbababbccccbcabbacbbabbacacacacccbcabacaacccbcbcaababaabcacccbcbbcacccacabccbcbacabbccbcbbcabaaacacbcccabcbcbbcbcbcbababbaccbaccaabcbcaacccbccbbbbcaacabaacbaaabbbaaaacacbbcbccaabbcabcccbbbbcbbbcbcaaaccccaacccacbaabacbbaccaaacacbcbbcbbbacabaacccbaabacccacbabbbbbabcccbabacaababbbabbabcaabcaacbaaaabbabbabccbbcccbbbccacbbcccbbaabccbacacabcbaaabcbbcabcacbcaacabbbcacabcbccacbabaacacbbccbabbcbbcababbcaaaacccbacacbaaaccaccacccabcaacacbabbaabcbcbcbbbaabbcababccbcbcabaaaaccbbbacbbcccbbbbabbbaaccbbabbccccabcaabcbabbbaacbacbbababbbaaabbcbbbccaccccaaccaaababcbbcabbbacaaccacccabbababcbcabacacaacacbcabcabcccaaaccaabbcabccaccacacacbccaaacababcacaaccbabbcbcabaaaacccbacccbacacbbbbccabccbbbaacbcbcacacbabccbcccbbacccbcbababcaabcbaaacbbbcaaccaabcacaaacabcbcccacbccabcabccccabaabcbaacabbbcbbbcabbccabccccccbbcbcbbcbbacbabbacbcaababbbbcbaaacccccacaaccccbcbaccbacbbbcaaaacbcababacbbbacbbaacccaabbcbccccabbabbaacaabcbacaacccbcaacabbbbaaaacccccaaabaccaccbcbcccaaaaacbcccccbababcabbcabccbabccaabbbcaccabbbaacbacaccbbcacababbacbaabccbacccbacaaaabbbcaaaccccaabacaaabcababcaccaacacacbcabbbbbaababbacaaaabaccbcbbbcbcbccbbbacaabbaabacbccaababccbabbbcabaaaccabcccacbbbaaacbcaabaccabbcacbacacaacbbcbbaccabababaacbabacbcaaaaaaacabaaaabbbacbccbabaccabbabbbbcbcaccabbcbaaccbbbbaacaacaacabbbcbbbaaabbcccbbaccccbabbccacaabcabbababacacacaaaccbacbaccaccbabcbabbacbcaabbbbaaacabaacabbccabacaaabbbbccaacabababbbaaccbbbccbaababbaabcbcccbacccbbaccbcaccbacaaacbccbabcabbcbaacaaccbccbaaabbbcbbcbbbaacaabccbbbaaccbacccbcbbacacacabcbaaacaacabcccbcbaabaacabaabcccbabacccaccbacababcabcbbaacacacabaacbaacabbbbaabbcbccbcccaaacabcaacbbaaabacccabcbbccbccbabbaaccabbcbacbabbccabcbbbabcbbcabaaabcababcbacbcccbaaacccaabccaabaacabacacbcaaabcaaaccbbcbbcbacbacaaababaabaacbcbbbcabaabbcbbcabbaccabccaccacccabaaabaabbaaabaccaacabaabaabcccccbbcbbaaacccabcaaaababbbbcbaacbbababbcacbccbccbabbcbaaaacbcabaaacacacaccaabaacbabbabbbabcccbccacbbcabababbbaaccbcacbcaaccacacbcbacababbcabaababcababccaabcbabbbaabccaacccbaaacabcbbbbbbabacccbabcaaabaacbcbbacbabbacbcaaacaccbabbbbbccabcbaaabcaccbbaccbbcccaabbccabbbbaaccacbcabbaaacabbbcacbacaacbcaacbacaacaacbacabacabcbacacbaacbaabbbacabbacbaccacababcbcbcbacaabbaabaccbccaaaacaabaacabcabaacaabbcbbcabccbabcacabaccabaccbaaacabcbbaabcacccbbcbacacaabcaaaabbccbabcbcabbacccbbbcabbbaabccbcbccbcbbbcaaaabbbbbcccccccaacbcaccbacbcbcbacbcaaaacabccbbabbaacaacbcaaccbbacacccaaabaababaabbbccaaabaabaccbbabbcbabbaaabccbcabbabcbacabcaabcbccacbacccbcbbcccaabaccabbcbbbcaccabbccbacacbacabcaabbbcccabbbbabacbaabcbaaaaabaccbaabbbcbcabccbacccacbbbcbabcbcbcbccbbccbccbabcbbccbbabbcaaaaabacacbcaaaacccaaaaaabcbcbbcaaaacccbaabcabbcbbcccacabaababbbcaabbabbbbcacbacacbabcbcaacbaaccbcaaabbacacbabccaabbcacbcabaabcbbbbabacbccbbbbabcbbabaaabaacccabcacabcacaccabbbaabcabcaabaccacacaabaaaaaababcbbaabbbabcbacacacbababaaaabcacbaabbcbbabbbbbabaacbcbaacabbaccccccbcabcabcacacbaaacabbcababcccaccabcabbcbaababbaccacacaacacabacbaaabacbccccbabbacaabaababacbbabccaacabbcbbbaaccaacbacabaacbbaabcbaacbcaaabbaacccbabbccaabbcbcbbccaababaacbacccaacacabcccbcbacbbccacbaacbababacbccaccacacababcaccbbbabccccaccaabcbcbcacabcaababbccbcbbbcbcacacccaacbaaccabaaaabcccaaccaabbbcbcbcbbacbcbccbccaabcbaabbccaacbbcbbcbacabbacaaccbcacaacbbcabaaacbcaacbcbaabaaacacaabbacbabbcacccbcbacacbbbcabcaabcccbbcbbcccccaccaaababcbccbbbbcaacacbbababaccabccabbabbcbabccbababcccaccabacbaaccbbabbaccacaacbbccbacabcccabbacbaacccabbcbaabcccabccbbbaabaccaaaaababacaaaaccaaaabbcbbcbcbaaacaabbcbbacbaaaaaabaccbabbbcabaaabccccccbacccaabbcbaaaacbbaaaabcbbcbacaaabbcccbaaccbaaaacabbbcacbaaabaaacaacccaacacbbcababbbcabccabcccccbbacbcbcbccabbabbbcbcbaccbacbabbcccbbbccbcaacbbbcbbabbcccbbaaccaabaabbccbbaacacaabababbabacabcbacabcbababaaaaacabbabaacbaaacbaaccbaccacbcbcaabcacaccbbaacbccaaaacaaaaccbbccbcaaaacccabbcbcbbcaacabcbbbaacacbccccbabacaacbbcacbcaaabcaccccbcbbaaccabaababbacaabaabbbaaaacbabacabbbcbbbabcbcbababcabbccabbaccbbbcaabbcacabaccabbbacacaacabcaacbccaaabaaaccbcccabaabbabcacabcbabcbabcaccbacbbbbabbbbbcbbaaacacbbcacbbbacccababacabbbbaaabcbaaaabcbbcbcaccabbaaccbbbcacccabbbaabaabbbacaabacababcaaabbbbaccbcccbaabbcbbacabccbcaaaacbcbcbcbbbabaabacbbbaacbacbbcacbbcbaabbabcacbacbacaaaccbaabcaaabacbbcbacaacbccbbaabcacbbbccbabcaacacbcaaacbcaabaacbbaaabcabacbaacbaacacbbacbbbabaccabbbcbbbacbbbcbbcabcaacbccbbcacbbabaabcaccbaccbcabbbacacbaacaabcababbabcbbaacabacaacbcabccbbccbbbcbbcbcccbbcabbabaaabbccacabbcbcaabaababababbacbccbccbbaabbacaabababaaccbccbcbaaabcbabacbaacbabccbcccabaccbabccbbccabbbbaccccbbccaacaabbbbbbbabaacbaaacbccbabcccaabbbbaabababcacbabbcbaccbccbaaccbcbaaacbccacaacbcacbbccbabaaccbccabacabcbaaaabccabccccbcbaabcaccbcbcbcaabbaacbabaacabaaaccbccbbcaccbccaccaaaacacbbcbccbacbaacbaaacbbcbccbababbcaacbacacbcaaacbabbabcabcbacbcacccaabacabcacacabcbccbcbaaabccbbbbabcaabcbcbbbbacbcacbcacbcccabcbaccabcbaacbcbcacbcccaccaccaacbabcacbbaaaaccbcaabcbcccbbabbbcbcbcacaccabbccaaacbbbacbbcbccabaacbccccabbcbbbcaaacaacccccacbcaaaaaaacccbcbaaaacbbcbacbbcbbcaaaabccacccbccbaacbbbacbabbbabbabaacaccabacabaabcacbcabaababcbcaaaacbabcbabacaababaabaccaacbacaaabababcbabccbaccbccbcaccbaccbbaabcaccbcacaaabaabaaccabaacbcbbababbaabcbaabbccaabcabcacbcbcabaabcbaabaaabbbcbcaccacbccaabbabccbcaccbbcbcbcbbbcbaacababbbcbbbccaacabbacabcabacaacbaababaaaabaaabaacbbccacaaabaabacbcbaaaabbbbacabcabbcbbcaacccacacabaaabccbbabcabccacbbaaacaabcbabcbaaaaabbcaaaccacbbaccabbcaaacbaccbabacabcbacabbcabccbcbabbccaccbbcbbcbacbcbcabcbcbbaacbacccccbbaccabbbabcabbccccbcaabccccbbabbbacabcbababbbaccbabaaabcbcbabccacaababbccabbccabbaccbcbacabcbbbaabbaaabccacacbaaacbbcaccaaaacacbacbbaabcccabaacbcbacabbaaccccaabaaabcacccaaaaabccabaacbccaacabcbccbaccaabbccbaababbcbabbbcaaccbbaccccabbaaaacbbbabccbbbccaaaccaababacaaaaccaabbbaaccccbaabbbbccabbaacbcabbbaaaccbbbcbbbcacbbbcacacabaababaacbbabbacccbabaccbabcbabbabcaccabbbabcccbcbcbccabcaccacbbabbcccbbcbacaaabbcaaacaaacbcabbaababaabacbbabaaabaaaccababcbabbacbaabacacbaccbcabbaabcbcccccccbccccbccacbacbaccaacbbabbaacaacbcbcaabaaccbcbcabaaabbabacbbacbacaabcaaaaaaabcbcbccababccaccbcbbababbacbbbcabaaccbabcbcbcabbcbccbbcbacaacaccabcbacbcbcabbcacacbccbaacbcababacbbcbcbbbccccccbccaaaacaaabcbcbbcaccacbcccacabbcaacccbaabbcbbbacbbbacaccaacaccbcaacbbcbaaabbaacccacbaabbcbaaacbbacacbabaaacbbcbccccacabaaacccbccbbccabaaccaaacbcaabaaccccbcbcabacbaabbcbabcbbcbababbaaaababcabbccbbbacacabcacaccacabcccbaacccbccbbcaccccbcabcabcccabbbbccccbcbaaccabacaaabaccccccccaabaccbbbbabacaccbccabcbbcabcccbbaacbcacbacbbbcbcaccbcbcabbbcccbbacbcabbcbccabbbbabccbabaaaaaccbaccbbcaaacacbbcacbccbbcbcbacbaabbacbcbaacbbbbbaaaabbacabaaccacabaacccbaacbacaacbcacbababaabbaaccbcabacbcbaaaccbbbababcbcacccacbcacabaaccbbbaabbabcbacbbcaabbbaabccaacaabcabbbcbababacabacaacbccbacccaaaccbaacbccaababcbaaabbbabaacaccbccbccbbccccabbbacccababaaaabaaccbbacaababbbbaaaacccaacbcaacccabacacaabcbbcaccaccaacaccaabaabcbaaaacccbccbcccbbbcbbbccacbcacbaaaaaaababcbcbbbbbaacacacacabbbbbacbcbcbaccccaaccababaabaccaabbaabccbabcaabcacbaabbabaccabcaacccccaacbcaabbcccaacaabacacbaaacccbbbcbcbaacbbcbacccbabcbcacababcaaaaabaacacccbaccaacacbbcbbacabbccbccbaabcaaccbccbcbacaccaaccaacbacbcacababacccacbccccbababacbaabbacacbaccccacaacacbbabccbacbabcbcbbccbacacaaacaabbcaabababbacaabaaaaababbbbacbcbaaaabbccbbccbbaaabbbaacccccacabccbbabcbaababccbccbacacbacbbacabbbcacccbbaabcacbbaabbbacbbabcbcababbbcacbaabbcaccacbabccbcbccbcacaacbabcabcacacaaabccaaccacbcbaaccbacacbbcacbbbbccbccbbbbacbbabcbabcbbacccbbccccbccabcacbbacccababccabcccaaaabbaacacaabcbcbacacabacccbcacacbcccaabbccabbacabcccaacbbababaaaaaabcaacbbcbaacaabcaaccccaabcaccccbcbabbcacccacbbcbacbcbabcbbccccabbccccabaabbcbbbbbccbccabbccccbcabacabbaaabbcbcbccbabbaaaccabccbabacbbabaabbbbbbbcccacaabcbbbaabbccbbaacccbcabbcccbbbcbccacbcaabbbccbcacbbacbbbbabacbbaacbccbccccbcccbcbaabccacbbbbababbbaccabacbcbbbaccababbaabacaaacccccaccbbabbabbaacccbbbbccaaaabcacaaabbcccbabcacababbaaacbcccccccbbcbccbbaaccaccbcabbbbcbccbcabbcbbaaabcaaaccbccaaaccabbcbaabcbccaccbcccabccbccacbaabcabbbbcbcacccbbacbaacaccaabacccccabaabcbabaccabbbcbccbbababccccbbacbcbcbaababcaacbcaaacabcbacaabbabaabcbcabbabccacbbccccabbccccaabccbbaabccbcacaacabbbabccaaababaabbcbbbcabacbbbaababaaababbabacabbbbcabbbcccbaabccbbcaccbbbccabcbbcccbbbbccbabaabbacbbcababcacbcbcaaabacbbacbabcbcccbaacbbcbaaaabbccbcacacbabaabccccbcbcacbaabacbbbcccaabbbbabccabbbbbbacbabbaabbacbacabccaabcbcbabcaaaacaccacbcbcaabcbacccaccabccbaaabacccbcbccbcccccbcbaaaabacabcbabbaacbacbaccbbbccacaacabcbbccbcacacacccbcbcaaabaabaaacbbaaaacbbbabbcacacaababcaabbbccaccaccccbccbcaaaabcccbccbcbaccaaacccbbacbcabbbaacccccaacbbcbababcabbababcacacacaacccaaaacbcabcaaabcbaacacbccaacbcacaaababccbcaccacacaccbcabaabbaaabccccbcbabbbcaabcabacabccbabbaacabaaabbccccbbcacaaacabaaaccaacaabcbcccccababbababbaabbababcabbaaaabaababcabbaabbbcbcacbbaabaaabbcbbaaacbacabbbccaabccbbacabcaaaabcbccbbacbcbbbcbbbbccaabcacccacaacbbbbacaaacbcbccaccaacaabcaabccaccbabbbaabacccaacaabcccbcacbbcbccaabcacacabbcbcabbbbbaaacabbbcacacabbacccabacbaabbcbaaccabaaccacbccbcbcacababbcbcbbbbbcbbabbcbabaaaaacbaabcabbababcccaaccbbaacccccabcaaaabcaaabcbcaaaaccacbccbbbccccabbbaaabccbcbbbcbcaaabbbbbabcbabacaacbcbaabcaacccabaabbbbbccbabbbaacabacbbccacabbacccaaacccbbcbbbaccacbcccabcccbbbaababacbaaccccacbcbbacbaacbbababbcbcaccbccabbabbbbbabababcbcaabcacabccbabacbabcabbcaccabbcbacabbbccbbbbabcccabbbbcbacbabcaabbabaaaccacaaaaabcacbcaaccbbcbbaabccccaaabbaabacacababcbcabbabaccabbcbbacbcbbcbaabbccbcacbbaaaacacaaccbbbacccbcbaccbbcbaaabababcbaaccbcbaaacaacbaaabcaabacbbbbcbccaacbbababbbacccaacbbcabaacbccacabbcbcabcaacbbbcababbabbbabaccabcacbbbaacbccbbaacbcacaaababbaabaacabcbabaabacbaaaacbcbbaccbaabbacbbcabaacaabaccacaccaababcaccbbacbcabcbaaaabccccbaaacbcaaaacabccbbbbabbacccacacacbcabbbbbcaacaaccaabbbaaabbbaaacacbabcabbababcacaccaaabbbbaacaacccbacbbbcabcbbbabaccbcacccaabcabaaabcaccccbcaaaaaaacaaccaccaabcbbcbaccbcbcbcccbabbaacaaaaccccacbbbbbaabcbbbbabaaabccccabcacbbcbcabacabbaaaacbabcbbbcaaabacbcaaabccccabccacbcbbabcccbccbbaaaababcbbaaaacabbacaabbcbccabbbabcaaaabaabaaccabacccbaccbabbcbaaacabccacbbaccaccbabbcbabacaabaabaacbacaaccbaaabacacccbacaaabcccacbacbbbbaaacababacabcabcccccbcabcaacabccaabbaaacabaaaccabccababbbabccaabbaccabacacccbaaabbccbbacaabcbbaabbcaaacbacacacacabaababccbbcabcbcaabcabccbccaabccbcccbbcbaaabbcbcaacbacaaacaababbbbbcccabcababcaacbabbaabacacbacaaacbbcaaccbaaabbabccbcbcbacccbbccabaaacccbabaaaabaacbabbcabcbbacbbabaccbcbcbabbcaacacacaabcccacabaabcbbbcbcbbaacbbcbcbcccacbaaacccbbabacbbaacbaaabbcacbacaacbaabaabbcbcbbbbcbcaabacccaaacaacabcbccbccaaaacaabaaabbccbbbbcbaabbbcaaacbbaaaabcaabcacacabbababaabcabccacacbccaaabaccaaccbcacaccaabbbabbcccaacaabaacbacaaabaacabbbabbbabbcbaaacbbbbcbcbbbacbbcacbbaaabccabbcbbcbaaabbbcbbbbacaaacabbbccbabacaabaaacbabbbbbcbabcbbbbbaabbcbccaabaacccabcbbcaccacacbbbccbbcaabacaaabcaabbbcacaaaabcbacacbbcacbcaacbaccbbbbabbccaabbcccaccccaaaabcacacacbcbabacaaaccccbbabcbbcbbcbccbcabbacbabbaaaacbbccacbcaabacbbccccbaacabcbababbbacacababacccaccacccbbabaacbccbacccacbbbaccbaaccbcaabcbaaccccaacccccababccbcabacabbbacacbbcacaaacbcaabbcbccaacbbbbcbbccbbcbbbcbbabbcbcaaaabacbacccbbbabcbaabbbabccbaacbacacababccabbabaacbbbbbcbacbaaabacccaabaaaabaaaabacaababbccbababbcaacababbaacbacaccbaacabaabbacaccaabcbccbacaabaaaccbacbcaaccabaaabbbccbaacbbabacaaccbbbbcbaaacabaaccacabbccaaabaaaccacabbaccaabaaccaabbccabaccaaccbcbcbbcaaabbcabaaaacbbabcbabacbbaaabbbcaabbbcccacccaacaabaabcacabacbcabbccaabbcaabbcaababbbaabaccabaabbbbbacacabbbbcbcbabacbaacbcbcabbbabaacbbccbcabaabaaccccabbcacacccaccbabbacbaccbbacacacacbabaabbbbabbcccbaacaccbbcbccaabbbaaaccacccbcbabcbcaccaccbbcabcacbaccccabcbcacabcaaabaaabcabacbcaababcbbaaaabbaacababcccacbccbcccccaccbabbbbababcabbabcccaacacaccabcabcbbcbbbcbbcbccbbabccbacbcbbbcccaaabbbabccacaabbbaaabacbaacbcaacbcbcbabbbcbbbcabcbbcaccbabcbbcbacaabacbccaabbbacbacacaaabaacbccbbaacccbcacbaccbabccbbbabcaabbcaaababaacabbaccaabaaacacacbaaabccbbbaccbccccbbaccccacccacccabaacccaaabbacacbcbccaacacabbcbaabaccbaabccbcbbcabacbbbbcaaaabaccacaccabacbcababcbbaabbbcacbabacabccbcabbbccbcbcbbabbaaabcccacaaacbbaaabbbbcccbabaabccbbaaacbbbcabaaacbccbaccaaabcbbaabbbbcbbabbabbacbcaabbacabaaacbacccacaacabccacbbbbabcabcbcbaaaabcbbcbaaabcaaaabcabbbbbbaacbabcacaccbcbbcbbbacbcacbcaccabacbacbbcbbcaccbcacbbcaccbbcacbaaababcbabccabacbcacaaacabccacacbaaaacaacbaaacbacabaccccaaaaacbcaccaacbacabbbaabacbbacabccabacaabaccbbaaaccaaaabcccacbbbaaabacabcabbaabbaacacabaabacbcccacaaaccbacccabababcabaaabbcabbbaabcabbacabcababcaacacaccbbccbcbababbbacacaabccbcbcbabaccccbcccacbabbcbcbbbabbaabababcbcabcccaababcbccbbcbacbcbbbaaaabcaaacbacbccacbccaabbbccbbbcbccaacaaaccacbabccbcacbcaabbbacbbccacaccbcaacbaabbcccbcabbcababaaabcbbbababcabcabcacccccbcabbccbccbcbacbbacbbccbabcacccccbacacacabbabacbcbaccaacbbcacaccaaacccbacabcbbcccbbcaabcbbbbcacaacccacacccabaabcaccbcbbcabccbacccabaaabcbcabbcaacccbcbcccbaccaccaacbbbbaaccbbbbbacccbcbcbccbbbacccbcbababbaacbccacbabbccaaaaacbbacbaaacbcabababbacbbcbcacbbbbaacbbccbcbbbabbbcbbacbcaaacbbccacaccbcaaaaabbcbbaaaccacabcccbccbababbbbccccacacccabcbcbaccbcbcbcacccaabcaaaacacaabccbaccbababababbbccbccaccacbcccaabcbbcabacbbccccacaccbacbcbcabacaabcbababaaaccaccbcacbabbbbcaaabaaaabccbbcabbcabbccbaacaacbccacccbcabbbcaacbbbcccabacbbbacacacbabbbacabbabbaaacacaacbbbbccbcbbabccccbacacbacbababaacbcbaaaccababbbcccabbbbabcbaccabbbbcbacbcabaabaccbcaccaabacbcbbbaccacababbabaacbaacabbbbacbcccbbbbccbcbacccacbbcacbbacbbbccbcccabcabbaabbcccaaacacabaccaacbaaaabbbabcccbbaacbcbbcbbaabaacbcbbbaccbccbcbaccbbabccacaacbcacbbcbcaccccbbbbcbbabbaaacccbcaaaacaaababbbbbbcacacaaacccbbbbbaaccacccbbaaaacbcacbababcbbbaabcbaabacccccbcbacccabbcaabbacaacbbaaaabbcaabababcbcaccaaaacaccbabcaabccaacbcbcccababcbacbaabacbbbacbacaccacacccbcacbbbbcacabcbcaacababacabaaacbababbccbabacaaaabbbaccccbaaabbaacccaabcabbacabacbbaacbabbaaaabbcbcbababbccabbcbbbacccbacabacccaacccaacbbcabbbaaccbcbcaabccaaccacccbccbcbbbbabcbaaccabaaabccbbbbcaaabaccccaaaccbabcbbccaacbaabbbcccacbcbaaacbbaacbcaaccbbccbbccabaaaaababbbbcbbbbbaabcabbccbbbbbbaabcccabbbaabbcbacaaabcabbaaaaaaccbaabcbabbccbacccbbbacbccaabbcbcbabbbccabacabcaaaaaaacbcbbaabbabaaacccacccccbabcbbabababbcbbabcabaaabccaaacbaaacbcbbcaccabcacaaabbcbccbaaacabbbcacbbbbbbbbabbbacbabbccccbbaabbacbbcbacccaaabbcabbbabccabacccccbacabcbbbabbaccccabaaaaaabbbacacbaaccabcccbaaaaaccaababbbaabbacaccbbbaaccaaaacaaaacccccccbbbaabbabbcbcbaababbabbbaaaabccbcbabaabbababbabcaccbacbbaacaaacbcacbcabacbacbbaaccbacaabaabcbbcacbacaabbbabbbbacbabbbbcaacccccabccabaaccccbbaabaaaaaacbaacaaaacaccbbbbccbaccbbbbbcbcbbaacbaabababcccabcaacbbabbaabbaacccccaccbcabcbccaabbcbcbabbaacbaccabbbcbccbabacabaaabbaababaabccaccaacabccacbbcbccccbbbccccbaccbabbaabcaccbbaaabcacacaaabbbacaaacaaaabaccacaabbaaabcaabcacabcbacacbaaabcbcbbacacbaaabbbbaabbbacacaababcbaacbcbcababcacccccbbcacaabbbabbacaaaaaaabbccacbbcbbaabcbaacccacabbcbcbaaccbcaaccbabaacbacbcaaabacacabaabcbcaaaaabcccbcbcbcccaaaacbcabacccccacacaccbbccabccabaaaababcabaabcabaacaabcaccacaaabcccbbbbbacaaaacbcaaacbbcbaabaacabbcbabaacbaaabcbaccabacbcaccbccaaacacaabcbabcbccacabaaaabaccbbccbbccccaacbaababcbbcabcbabcbcbbabcacabbbcbbbbaaccbaababbccbabbbcacbabbcaacaacbcbcccacbbabcabcaabbbbbaacbbcaabccbccccaaacccccaabacabcacccbcabcbbbacbcabbacabccacbcbbccbbcbbbcabaabbcaaccccbcabbcaccbaababbaacacbabbacaababacabcacabcccabcacbaaaccbcbaaaaccbcbaacaabbcccbccbacaabbabcbcbbacbacbbcbababbccacbacccbaaababbcbcccbccccccbbbbcacacccaabaccaacbbaacbbcbccaacccabcbcbababbcbccabcbabbacbcbccbbaaaabcccbccabbcccacaacbabbaaabccacaccbbcbbbccacccbbbccccacaabbbaabccbccacccaacccabbbacbbbacaabbbbcaabaacbbccbabacabcbcacbccabcaccbcbcbaaabaaaaacabaccaccbccabaacaabaccabaabaccbbabaaccacacbababacbaaabcaababbaaaacacacbbccccbaacbacacabaaaacbbbccbaccbaabaabcccbcbcbabcaccabcaccaabbbcbbacccabaacbbbbbaacaabcabcccbbcacbaccaccabbabbaaaabccaabcabbacbcbbabacccacabbbacbabacccccbcbccabbabcabbacaacbcbacccbaacbaaabbbacaaabbacacbcbaacccbaccacbacccbaccaabccbccbbbaaabbcabccbccbacbaaababacabcacacbbaaabbccbcaabbcacbaaaaacccccabacccbcabcbbbbabbbabbccbbaccbaacabaaccabbccabcbcaacaacabcabaacaccccacbacaaaaaaaaabacabacaababbaabaacbbcacabbaaaacbbacbbccccbbacccccacbaccccbccbcbcbbaabacbccabcacaccaabacbaacbacbcbabaaabccbabcacbbbbcacabccabcaaaccaabccbcbbbccaaccbababaaabcbcacababcbbccabaabaaacbcacbbaaaccaaccbbbacbbaccacaccaabbcacbacbbcbcabbccaccbbbababccaaaaccccbacbbbbbcbccababccbbcaabbcabbabbacacaaabccaaabbcbbbbabcbcbbcabbcbaaabbaccbbbbcbacbabaccacbbbccaaaccaaaaabbabaccccccaabacaaccacbcbbcacccacbaaabcbcbcbbcaccccaacbabcccccccccbbbbacacbabccabcbaccbbacaaaaacaababcccbacabbbcaabcbcccabaababbabaacacabaccbaccccbabbcbaabbbacbccbcacaabbcbabaacacabbacbabcacccaababbaabcacbbbbccacbccbccbccacbabbccccbaccaabcbacaaccbccaccabbaabacbbcbacaaacbbabacbbcacaccbcbcbbaaaaccacbababcccabbaacabccabccbbbccbbbcacabbaabaababbcacbaaaabaaaabccababacacaccbcbcabbbabbccbcbbbacacacaabbaccbabacccaabbccbcccabcabbccbabbababababbaaacbccaacccbacbbababbbbbcbcbcbccbbbcbcabbbbaaaccaacccbccccbbabbcacacacccbccacbbbabcbcaaccbbbbaababacaaacbccaacbaaccccbbaaaacbbcbbaabbcabbbccaabcbcabbbacbaccccbbbbbcccabcaaaabcbccababbabbbbcacacababbaaaacbccccbaccaccacabbbbcaabbababcaabcabaaccbbcaaaaaacabbbbbbcaabbaaababbabbbcacbcbccacccaccbbbbaacaacbbccbcabbcbacbbabbcaaaabcabbbcbbbcbbabbcbbababbacacbccaacbbbaaacbacaacbbbaaaabccbbbcabcabcabbaccacacccbbbabccbcacbbcaacbbaabbcbaaaacbcbccaccbbccbcbbacaaaccccacabbaccaccbbbabaaabacabcabbbbbcaabccbcbbbaccccbaaaaacbbcbbbcccbaaaaabbabacbbcaaacbaaaaaabbaccacbcccbaabccbaacccacbbbccccabbcccbbaaabbcbbcaabcaccbcbabbcbabaccacabcabaaabbcaaccbbbaaababbccabaaaacaaacbccbbaaccaaababcbacacaaabcababbccabcbcaccaababcccaccaacaacaccaaacccabbababbbaabcabbcabbcbcbaaacaacaaacabaacbbaacbacbbaccabcccbcbacaccaacaacbbaccabbaacaaacbcccbbcaabbaabaaccbaabcbbcbbcbacbbccbbbaaccaacbaaabacbbbbabbcbcaabaacabcbcbcabcbcccbabbabbbccbcaacbbccbaaaacbbabbbbbbacaaaccacbcbcaabcccaabaabccabcaaaabaaaabcacbaaaaaccabcacbaccbacacbacccbaacaaaabccbbabacbccaaacbbaabcbbcbcacaaccbbaabccabbbccaccbcbcabaabbbcacacaccabaccaabcbcaccccaaccbabbccbbcbabccbccbbbbcabbbbcacbaabacbabaaaacacaacbabacbbbabbacccabacacaccbbaaababbcaaaacbcbcbcbaacabccbcacbabcccabaccacbbbaccbbaccbcbcacbcbbbbbcaaacaaccabcacaaaabcaacccbccaaabcbccbbbbbcabbbbacbabcbacbacabbacbccccabbcbbcbbabcbbaabbbcbccabaaccccccaaccbabccbabbccabacccaacacaacacacacccacccccbacaccabbbcbcacbabbbbcaabbaaabbbbbbbcaaabcabaacccccbbbbbaabaaccbcaaccbccaabccbcbaaccbabaacabcacacbaccbcacbcbcccaabcccacabcaabbaaaaabbacabccbacbccbacaaccacabcbacacacaabbcbcccbcbbaacbaccbbbbabbbacacabaaacabcabcbbabbbcaaccbbabbcccbbaacbbacbccacbcbaabccbbaaaacbaaabacbbabbabbbbabbbbcccccbaaacabcccacabbaabbccbbccbbbcacbaccbcbbbccbcabaacaaacbccabccabaaabcacbaababcabbabacbbcabbcccbbcabcaaaaacaccaabaaccaccabbcccccbbcbaabccbaaccacbbaccccaaaabbbaabababcbaabcacbbccaabaacacacbcbbbbbcbbaacccabbaabcbcaabcaabbbbccbcbbcabbbbababcbaccbbaaacaacbaaacaaacbcccabcbcbabbabccaccaacccbcbccbcaaaccbcbaaacccacacaccacbbbbcccacbaabaccabbacbbccbbabcbcbbbccbbcbcaacccaacaabbccbcabcccbbababbbcbccabbabcacaccacacabccbcacccbcacabcbbacacabacbccbcccbcbcaabcbabbbbacbaacbccbcbcaaabacbacbaabcbcabbccccacabacbaacaccacaacbabacacabccbbacabcaaaacaabbbaabbccbbcabcbbbbcbccaccbcccaacbbcaccabacbbcacccaacabcacaaaacccabababcabccbbbcbcccbcccbbbccabacbacabcacbcbaacacbbcbbbbaacbbaaaccabaababbacacabccacabcaaccbaababcccbcbaacababaacabcbbbbaacbcbaccbbbccbacaccbbcbabacccbcbbbbbbbccbbacbaccbbabacacbcabbbcbcccbccbbacbaaabcbacbabacbabbbbcaaaabbcbaaaabcabccbccaababacacbcabacabcbaccccccbccbcbbccbacccbacaccccbbababbacbbaacaacacbcbbcccaabbbabcccccababcacccbccbacccabbbbcabbcccbcacaaacaccabbaccbccccbccabbcaaacaaabbbacaacbcbccbaababaccbcabaacabbcbcaccabcbcccabcacaabaccacbcbaaabccabcacbbabbcbacaacbbcccabacbaccaabcccccbccabaabccacbabccbbbbccbcaccbbaabbbcabccbbcaacbacbcbbbcbabacbaabccbcabaabaabbabcacbbcbabccaababbccbcbccbababcbcbccacaaccccbbccccccccaccabacccbcaabccabccbcbbbcbbabacbcabaabacbcccaabcabcabcaaccbbbbbaaacbabaaaccccabcbcbbabbbbaababccabcbcbacbbaacabccaacaccacbaaaabcbbbbaaccbbcaccbacbacbcaabbbaababccaaabcacacbacbcccbbbacbacaaccbcbbaabbbababbcacabbcababacaaaabccccacaacaabbcacabaccbaabacccabccacaacccaccaaacacaacaaabcbbbabbcaaaaabbcaabcbbbcabacbaabacabcbccbcccbcbcbabaabbacabbcaacbcababbcbaaabaaaaaaaaacaaaaabccbbbbabccaaaaacabcacbbaaacacabccbccaababccacaabbaaacacbccccbbbabbcabbaababacaaabcabcccacbbbbbaabbacbcaaacbabccbbaabbbcbabacbaabaacaccaaabacabbbcbbaaacaccabaaabbbabbbabbbcabcbabbbccccbacccbaaccbcbbaabcbcccabbccbbcbabaaaaaaccabcccbabbababccbacbacbccbcabacbcabaabcacbabacbaaabbaacabbcccaccbbbccbaabbaaccaccaaccbbcaabccbacbacaaaacbcbbccbcbacccbbbbbbbabbaaabccaccbabcbabcaaacaacbcbcabbaacabccbccbcbabbabbaacacaaabbccbbbbbbcaaabcbcacbcbbcacccccacabbacacccccbcaababccbcbccacacaabbcbcababcababbccccbaabcccbabcaccaaaabaabbbcbbbabacbcabaacabcbcacccaabccbccbccacaabbaaabbbcabababbbbaacccabbbcccbbbcabababcbaacaccacbaabacabacccabcbbcbbbaaacabaabccbaccbbaabbbcbabccaacbccbccbbcaabacbcaacaacbbbaccaaacaacabcbabcbaaaabbcbcbbaabbabbcbbcbbccbbcbcbaabcabbbcaacabbbabcaabaababbaacaabcbbbabaaacbbabbaaabbbcbaccababccaacccbcaaccbabccbcaccaabcaabcbccbcbabacbcacaabacacaaabcccabbcbcbcacbccbbacaaccbbbcacaacababcbaaaaccbbabacaaaabcbabccaabcaaabbacccbabcbbbbbaacbcaccaabccababbaccacaccacccabababccbbcbbaacbacbbacaaaccbcccbbaabbbbccaaccbcbcabcaccbabcaabaaabababababcccaacccbcaccacabccbcaaaccbccaaaaaaacccbaababbccabacbbaccbaacaaabcabababababacbcbccbbbccacaccabcbcaaabccbbbbaccbbccbcbcbbabcbcbabbbcabbaaaacbcacbacbcccaaaaccabbbababbabccacbcbacbabbcccbcbcabaaccabbcacaaaaccbcabcbabbababcbaaccbbcbbacabacbcbbcabaabbbcbacbbbcabaabaabababbaabaccbbaabccbacabcbccabbbbcaccaacbccbabbbbbaacbabccaaccaacccbccbbcababaaabbccbabacbbbaaaaababcbccbbbabcacbbbcaacbababbcacacbaaaaababaabbacacaabccabcccccabbbbcabbacaacaccbaaccaaacabcbcaacbcbccbbbaacaabbaaabbbaacababbabcacbabbacaacccaabcaabbbcaaacaabaabbabbcbbabbcbbcaabbccbccabcabbbcbaccccaacbaabcabcaaccbabcacbcbbcbccbcabbcaaababbbacbbaabcccbabcaaccbababcccacabaabaacbbababcbcbaacbbacacbbbbabbacbbccacbbbaaacbbaacccaacbcbababbbaaaacbacbbacccaccaacbaacacacabacaabbcbabaccabcbccbbbacaacaaccbcacbabcbbbabccccbabbcaacaaacbcbaaccbccaaaaaccaaaccccbabacccbacbbbccacaabcbccababbacccccabcaabbababacabcccaacbbabbacbaaaaaccbacbbbcbcabaaabaabcbacbabaaacbaccbbcbbcbccbbaacabcccbacaaccaabbabaabbbccbcccbcbbccacacccbcabccbacacccabbbaacccacccbbcccbccbacbabcbbcaacbaabbcbabbcccabcbacbababcabccabbabcbaabbbbcaaaccbcccacaabbaaabbaacbcaabccbbcaaaabbaaaabccabccccaccabbacaabbbaacbbbcccaababaaccacbaabacacabccaaaabaaabaacbbbacababababcbbbabcaccbccbbcacabccccbaccaabacbcbabacabbacaabbcccbcbacabcaaaccacaccaaabaaabbacacababacbccbbaabaaacccacbacacbbacccbbcabaacaacbbabacbaccababcbcccacccbcbbabbbcacaccabbaccbacbccabbabccbbbcbbccacaccbcaacbacbcabbabacaccacabcacbacacaacbbccbcbccbbaaaccabcccaaacabcaabbbbbabacccbbbbcbccaccbbabbacacacababccacbacbccaacabaaccabcaccaabbbaccbaababcbbcaccabcacbabbacbcabccaacbaaccaabccbaaaccbacbcbcbcacabbcbcaacbbbacccacabaaacbcaaccccacabacbabaacacbbbabababcbcacbcacbbcbcbcacccbcbaabbcbacaaaacbaccbbacacacbacbabacccabbccbacbccacccbaaaaabacbcabcacabcbabcaabaaaaabcbbccbcabcabbabbabcabbabbcbbbccbcaacacaccbabbbcabaccacbbaabbbbcbabbcbcbababcbcbbacabccbacbabbbaabbcbbbacaccabaccabbbccaaabbbcaacaacbcaccbcaabacaaccbaccacbbcacaaaabcbaacbabcbaabccbcaacbabcaababbbacbbaaaccbbccccabcbbbbbbbcbcaaabbcaacbccacaccbcbccbbaaaacbbcacaacaaacaabacbaaaccbccaccbbcaabaccccbbaaccabcbcbcbabcccbbccccbabcccbbcacbcaaaaaaabababcbbacccbbcaaacbaacacbbccccabacbacbbcacabbcbccccaccbcaaaccbacacabacacaaabcbbcbbaacacababbbbacacbcacccbbcbbcbaabbcacababaaccbabaaacbbccacbcbcbcccaacccccaacbbbcaacababcbcbabbbcbcabaabbcaccacbcbcbccacaabccababbaaabbcbbcacbcbcbbbabacacbcccaccaabcbcbbabcaaaccababbabbacababaaabbbccabcbcabaaaacccbccabaaaccacabcacccccaababaaccbbabccaacabacacbacbaabbcaacaabbbccabbcbbccaaccbcaaabababccbaabaabbbbbabbcaacbbaacaabaaaccaaaaaaccabbbccbcbaaaccacbaacabbcbcaacbbbbaaaabcbcabcacbaacaaccaccbcaaaabcbcaabcaaacaababbcacbbbaacbacacabbcaabcccccacbcabccbacabcbabccbbcccbccbbcbcaaaacaaccccabbbaaccacaaaaabbaabbcaacaacbcbaacccaccbbabbbabacccaababbaacbbbacacccaaccaababcacbaabbaacbacbcbacabbaaacbbabacaabaabaacabbbcaaacccbbaaabbacabbcbbacaaccbacabcbcbccbbbaccccccbccaabbabbabbbbbbcaabaabcbcbcbbccaabcacbaaacacabccabaabbaabccabcaaacaabccbabbacabcbcabcabbcbccaacaaabcabcababccbcbcccaccbbccacbacabcacabbccabcaabcbbbaaaacbacbacbccbbaaabacaaaaabacaacccbaccacbacbcbbaabaacababaabcacccbaabbabcbbcacbbbcaacabaaacccccabccbccbccabbbcbbcbbbaabababbcbcccbaaccaaccccaacacbbababcccacbbbbccbaabbcbccabbbcaaabbcccbbacababcbcabbcabcbaccccbbcbcbabcabbabbbabaababaccabaabaacbcabaaaacccbbacaaabbbcbcabbccbcacbaacbaaacbccccaabccacccbbabaaccbbbcbccabacbaaabacbabababacbbcbaccbccababbccccbbbcacacabbbaaaaacacbcbccacabaccbcccbbbcbaabbcbaacbcbcacbccbbacaaabababaacbcaccaccccbcabaabbccccbcbbacbabccbbcabbbbbaabaaaccaaaaccccbcbabbcaabaccccbcacababbbbabaccabbbbbabccaacaaabaccbcbcacbaccbabccaabacbcbacbcaabcaccbcaabcbabcbaabbccbacaccabccbcccccaaaaacaacacacabbcbcbbcaabbbcaaabbcaaccbbbaabaabcbbaabcbaaacbbbabaaabcbbaaabcbbcaaabcaccaabacbccbccccabccaabbabbabcbcabcbaababccbcacbcbaabbaabbcbcaabbaccabbcacbcbbccabcbcaacabaabaccacbababbbacbacbbccccabbbcbabbcaabbabcbbaabbcccccbacbacbcaabaabaccabbbacbbcaccccacacbbbbbaabbbbcccccbbbacbaabbcbaccacbccccaacacabcaacccacbcacaabacaabbcaaaacbbcaabacaabaaacccccaaabaacaabbbabaaaaacabcbbcbcbbababbbabbcbaabbacccbcbaacabcbccccbbcbbbaabacbbaaaabcaccbaaabaabcbbbbbccccbaabccbcabaacabacaaabbcaccbaccabcacaacbbbcabccabcbaacaacaccbaaaccbccbcbccbbabbccbbbbbacbbcaccbcbccbbaaabcbbcabccabaabbabbcbcbaaccacabbcbccbcbccbacacaabaacbacbaaaaaccccbaaabcccccbccacbbcabacacacabaaccaccbbbabababaacbcbacccbaccbcabcbbbcabbcbaaacaabaacbccbcbbbaacacaababbccccbaccbbcacbbaccbaccaaabcbcaabaaababaccbacacccbbbbcaccbabacbbbccbbbcbccaaaaacababccaccaaacbcbacccbbcaabababbcacbccbcaaccccbccaccbacbacaaaaabcbbaabbbaaaaaccbacccabababcbaaacabcccbbbaccabbcabcaaaabbcaaccbcccbbacccbbabbcbccabcbcabbcbbaababcbcacccbacabccbcaaaacaacccbcbccbacbaacbabbccaacacabaabbaccbbbaaabaacbabcacbaaccbabbabccbbaabbaabbbcabccaaacabbbbcabaaabcbabbabacbcccacacbbbabbacaaacccacaabacaababcbccbaaaaabcabcbbaacaccabbcababbacbbbbccababcacbcaacababbabaabcbacaccaabcbacccacaabbaccbabaacbccacbacccaccbabcabbaacbccbaaabcbcbacbcbaaaabacaaaaccaaacbbcbbbaaababcbbbcbacbaccabcbbbabacccacabbacaccababcbbbcbbcabbbbbccbcabbbaacbcbcbcaacaacbcaabbccbccccbaaccbbbaacbabbbbcaacbabccabaabbacbcaaabbbacbcaacabbbbcaaccacbaaacaaacaabaabbcbcbaabbaaccbbaacbaacbabaccbbbbbbaaabbabbacbbccbbbbacbbcbcaacccaaacbabbcbbaaccaaaacbbacbbcccbcbcacaabbabaccbbcbbabcacaacacabbcccbacabacabaabaccabcccccccacbbaababccbabbbcbbabbabbccccababbaaacbbcccbcbababbaaccbbbbacccccbaacbcbabbacbcbbbccababbbabaacacbabcabcccaaacabaacbbbcaaaccabbcbabaabbbcbbaabbcabbbaaaabbbcbbabacbabbcbaaccbcacaacccabbabacbbcbcababaccaaccacbccbcabaaabacbbaccacbacacbbaabccababbcaababaaccabbbaabcbcacbacabbbccbabbbaabccbcabaacaabbacccaabccbbacabacaaaccaaabcabacccbbbbababacbcacbacaccbabbacacbbbbbbacaabacabbccabacabbbbcabcabacbcabccbcbbaabbabbabccabbbcbbaaacabacabaccbacbbacaacbabaaabbbaabbbaacacbcbaaccbbbbaaabccaaccbcaabbabacaaabcacbbbcbbbccacacbcbacaccacccabcbbaabcaaccbbbbccaaabcbbccacacbccaaabcbbaabcabaaabbccaacbaccacaaaaabcaaaabbcbcacacbcaaacbacbaabbbabcabcbcbcbcaaccaccbccaabcbbccacaccabaabbaaaacbcacaacacbbbbabbbbbcababcccbbccaaacbccaaacacbcaccacbbabcccbacbbccaaccbaabbccbcbbcccaaabbbccacaccabbbbbaaccccaaaaabbaaaaabbbcaccbcccbaabacaaaaccabbbbbccaaccacbccccccaaabccbcaccccbbbcbbbcaccaccacacabbcccaaabaaaabbcbbbaabacabbabbaccaabbcacaaaaaaaaabbbacbbbcaaccabbcbbcabaaaacabbacacccababccbcacaaaacacbcbaacccaccbcbcbccbcabcbbabcaacbabacbbbcaaabbbcbbccbbbbaabaaacbccbaabbaaaaacababaccccccaccccccacabccbaaccabbaaaabccbcacbbbbaacbcccbcaaccbaacabaabccacababcbaabcbbcccccacaabaabbccccacbabaccacacacacaaaabcccabbbccbaaacaabcbaacacabbbcacbcacaccaabbbcbacbcbbbbccaacbabacccccbbccbacabbbbccabbcbaabbbabacbabaaccbaacbccaacbcacbbacaabccabccbbbcacaacabcbccabbabbcbcaaabcbbaaccbaaaacbacacaccbccaccccbacaaaabacabcacbbaabbcaaccbcbbabcbbbbbabbaaaaaaaccacacbbcabacccbbccbabbaccabbcbbbcaacabaaabacaaabcbbcbcbcacbbbacccbcaaaabccbaabcacbaaccbcccccbbbaabbacbcbbcbacacaccabcbabacabbccabaaababaccbcbccababbbaacccccbabbbccccbacbccaaccacacaaaccbbaacccccabacabaabcacaacbabaacbbbaacaaaabcabccbbacccaccacbcbcacccbaaaabaabbbacccbcbaaccbaccccccccbacabcaaacacbabcbaaacacacababbcbcccacaabcccbbbbcacabcbcbbcaacbababccabbcbccaaabcbcbaabcbbbbcabbcacaacacaaccabbbaacbccbbccccbabcababcaaacbaacbabbbaaaacabbabaacaccccbabbaacabcabacabbaabbabbbbcbcccbabbbacaaccaccabcbabbaacbbabbacbcbcabcaabcbaccaabbaccababcabbbccbbbbcbcbcabaaacbbabcccaacccacccbcccccccabcbbabaacacbbbaacbbaccaabbcbbcbbccbacaaacaccbaabbbccacacbaccacbabbaccacacbcbbbbbccbbcbcccccaccbcacaccbcaaccccbabaaccabbcbbaacacccaabcbcbacbcaacccbcccabccbbcaccbbacaccaacabbcccbacaacabbcabcbcaacabcccbcbacccbbcacbabaccccaacaabacccacbcbbbacaacabbcbcaccabccbcacbcbbbcbabaaccabbccaacccccbcccbbcbbbcbaccaacaabbbbcbbbbcabbababcbabbbabaaaacabccbcaabcacacabcbbcbcabbcbacacaacbbbaabcacbbaaacabbaaccbccbacbccbabbbccacabbcaacbcbcacacccbabcaaccbcaaacbcacbaaccccaaaababcbbbabbccaabaabbcaacbcbcaabbbaabaacaccbcbcaabccbcabcbbabacbcbbcbbcaccccabcabbacacaaacbabbbcbcbbaccbbbccaccccbcbaacbcbcbbababaaacbccbabbbcaabbbcacbbbabaaaacacacabcbbcabababbccccaacccabcabcaaaabaacbabbcbccacbbbccaabcbbbabcaabaabbbbbbbacaaacaaaaccccaacccaabbbcaaccbaaccbbaaccaabcccaabcabccbbcacaababacaabaccacccbcabbabbbcbcbbccbbacbccacbcabaaccccbbcabbbcaaabbccabaabcccaababcaccaababcacbbbcbaabbcabbacabbccabcaaacabaacbbcbabaaabbbaaaaacbbbbbccbabcaaabcabbaababbacccaccaccaaabbbcbbbbabaacbcaaaccacbabaaabaccbbbbacbbaaccbabbbababccaacaccaaaacbcbbcccbbaccbbaaaaccbabbababbcbbcbbabcaaaabcccabaabaacbacccbbbcaacaabbaaababcbbabacaabbbbabcbaacccacbccbcacccbaacaacaacaacbbaccacbbabbbbcbbaacbbcacaabbaabbbccbbaaccccbccbbbabababcccbccbaabbcacbcbbcaaccbacccbcbbaaabbcccaababcbbbccbcbbcaaacabacbacacccababaacababcacabaacbcacbacacbbcccacbcacccbabcaccccaaaaacaabbcbabcbcacbccbabbcabccbacaacbaaababcccabbbbbacbabcababaccbccacccccbcbbabacaacabccccbbabbccacbacbcccccccababacccaaabccaacacacabacacbcacbcaccacabaaaccbcabacccbacbcaacccbcaaabcacaccaaccbaacbaacbabcbbacacbcaaacbcbcaaabccaacabbccccababacaaabaaccaacacbbaccabbaacccaacacbacbbcbabaaabcbbcacaccacbcaaaaaacabbbcccaaccacaacaaccbbababbbaacbbcacaaaaabccabbabbacacaacaaaacabbccbabaaabcbacabbcbbccbbbacaaaccbccabcaccbbbaabbcaabcbbabaaabacabbaacbbcaacbbbaaabbaacaabcbaccacacaaabbbcbbaccbcacaababbaccabacbacacccbbbcccbaacacbbccbaaccaababbaabcbaaaacaacabbbacbbcabbaabbcbbbacacacabbabacacaaccaacbbaaaaaccabacbccbcbacccaaacabaccccbcabcccaababbbbbaacababccccacbbbbaaccabbcacbccbcbbcabcaacbcccbbababcabbabababaaccacacccbccbaacccbbaacbbbbacbcbcacaaabacabbccabbcbcaaacbcbbcaacbabaaabcaccbcaccbcccabccbbcbacbacbaccbcacaabcaabbbcacaacbbabaccccaacababaacaaacbccbcccabcaaabcbccaaccabbcbaabcabbacbbccababbcacbcacaaacbacbcbbbccccbcbbccbbcaaaabbabcbacccbaccaabccbacaaabbaccccbbabbaaaabaacbabbbbbcacacaacccaacaccbbabccccbbbcbaacbaccbcbccccacabaccacbacbccbabbaccbabcacbaaaaccbbaacabbabbabaacaacbbabcacbacaaaababccacacabaaccbbcbccbcbcbbcbccbababbcbbbbbcbcaaccbccacaaacbbbababbcabcccbbacabaabcbcbbababaacbcacaacacbcbaabaccbaaaabaaacacbcaabbbabcbbabbcabacababaaccbabcaaccbcbbbbbbbccacaabaaaaaabcacbccbcacbaccacaccbabaaabaaaccacacccaaaacbbaacbcccaacaacccaaabbcaacacacababbcbabcbaccbabcaccacabcbbabcaaaabbbbbcacbbccaaababbbacbaccbccaccbcacccbbabbbcacbccabaaabcabbcbcbbcaabbccbbabaccacacabbbbaabcbcccacacbacacaaacacccbabcacbcbaacbbccacccbabaaccbcaaccababbaaacacabbcaacbbabacacaabcccaccbacbcacbbcaaacabaabcbaaccabcabbbbaabbbbacbbbaaabcccacbcababbcbcbbaaaccbbccbabcbccbcabbabbccbbcbbcbbbcababccbcaabcccbabacbaccbcbbabcaaacabbbccabcbcaacbbaabbbbbaabbbccaaacccbcbbcaccaaabccaaaccabbbcbcbbaaccacccabccaccbbacacababccbcbbbacacabaaacabbaaccacaacaacbccbcccabcabaaccbcacaabaaabcabcaaaccbcbbcacbcaacccabcacaaacabccbababcbabcacbbabcabcaacaccabaabacccbbbbcabacccabbacacbbbbcbabaababbbbaaabbbacbcccacccbcbcacccaabbbabaabcbcbbabcbbbbacbbccccacbbcabbbcabcbabcbcacbabbcccbbbbaccaaababbcbbababaaabbababcaaabaaccbbbacbaabacbaacabbcccbccccabacbcbcbbabbbcbaaabcbbcacbcbcabccbaabcababbccaaacabbbaabbcccabccacbbbacccbbccccccbccbccbccccaaaabbbbaaccabbcbccabbbcacbcaccbbbbcbacaccccaaaaccbacbcccbbcaccbacacbcabaaacccbaabccaacabbabcacabaaacbbcbcbbabaabacbcaaccbacabaacabcbbbcbccabcbbacbacccccabbbaccacbbbbcbccbcccccabbcaacbbbbbbbbbabbbbbabacacbcacbcbbbaabbcacabacaccbcaccbccbaabcacccbbbaaaabacbabbcccccbaabbcababccccbaaccabccacaaabcaccbbcbbcaacbababbacccacbcbbcbbaaccbbcaccccccacaacccbcccaacbacccbbbbbbabaabbcabcabacbbbababbbcbbbacabcacbccacccacbacbbbaacaacaacbabcabcbccaacaacabcaacacbbacbabbcbacbaccbcbacbbababbbaaaccbabbbcabbbbacacaabbaaacaccaacaabacabbbcccaccccbaaaccbbbbaacaabbcbcbaccbbaacccbabbccbaaccbcabaaabbccaacaacaacacabccbccbbaabaaaccabaacccaaacbbaaabcabcbaaccaabacbbbacccccacbccabcabbacccacccababbccbabbaabacababcaaaccbabbcaabcacaccbccaaaaaacbabaabbbbbcbacbbaacabbbacbbcccccbabbbcabbacabcacacbccaabbbbcabccbccaacabbaabcccbbaabbaaacababcbcbbcacabccaacbbbccaacbaabcaccaabaabcaabbcaaaacbbaaabbabacbccbcabaacaccaaacccaaacbacccabcbcabbabaacbaccacccaababacccaacbcccbacaccbbccaaababcbaacabaaacccbbcabbcbccbaccaccbcbabcabbccbcaabaccbaabcbbaaacccbbaacbcaabccbaaaccaaaaaabaabbaaacccbbaabcacaabbabbbcbcbbbbcccbabaacacbbbcbcccabbccacacacbabbabaabbacaccbaaabaabcacbabaaccccccabcabbcababcbcbbbaacaaaaaabccbabbaabbbccbccaaccbacaccabacacbabaacccbbbcaacaaacccbcacbbcbaccccacabcacbcbaabcaaabcacbabbbaccbbacccbaccbaaaabccacbaabcabbcabbaacaaccbccaabbccbcabcbbabbaaacbbbaacbabcccbcaccccccbcbccbccbbbccbabbcaabcacbacaabbacccbbaccbccbcbcccaccbaabccbcccabbaccaaccccccacabcabcbcbcaccabaccbccbbabbaccacbabaaacccacaacbcbbabbcbbccbaaaacbcbbacbaaacabbbccccbbcccbaaaaabcbbaabbacaacbcabbbccbcabaaabaacbaaaacaaaacccbbbaacaaabaaaccabacccbaabbaccabacbbccaccaccbcbcbacbbbabbbbcaaacbcbbcacacaaabbbbbbccbabbacabbcccbbccacbbaacbbcbbcbcbbccaabbbcabaccbacabbacbcbcacbabbbbacacbbabbacaaacbbcabbaabbaaacacacabbcacaccaaaabcccaabbaababbcbcaacbbcbbccbcbbaaccbabaccacbaaabbcaaaabcccabbabbccccbcbabbbbbacbccbaababaacabaabbcbabbbabcccabbbcabaccacbababcabbccabaacabbbbbcccccbababaabcbacbaaaaabbcacaacbaaaccbccacbbabccbcbababbbcaacbaaaacabbaaabcbccbabacaccbbacabcccbbaabacaaacccaccbcbcacabacccabbcbacbcbaaaabbabacacbcbbacaaacacabcacaabbaaaaabbcbaacaabaabaccabaccccaacacaaacbbacaacbcabbcbbbcabaabbcaabaababcbacacaacaaabccccacbacaaccacbbaaaacbbcbcaaccbcacacacbaccaabacbbcabbbcbabaaaaacccccbbbbbacabccbbacaaaacaaacccbcaaaacabcababcccabaaaaabbacccbcacbbcccccccaaccccbcbbbbaaaabbaaccaccbabcababaacacaaaacbbacaccbcbbbcbbbcaacbcacccbbcabbaccacacaacbaaccbcacbaaabababbcaabbcbccbabbbcabaabcbabbabaabbacacbbcaccacabbabbcbbcaabbcbbcaacaabcacccaaaccccbbacabaccbaccbabbcabaccacaacaccbbbabaaccbacacbbabcaacaacaacaaaaacaaabbacbaacbccacabbaaacaabbbcaaacaacaaaaacacbbbabcbcaaacacabababbcccabbcbacbacbbaaaacabccccacaaaabcabccbaacbcbacbaabbabbabcacbcbaababababacabbcbccbacbabbcaababcbabaacccbbcaccbcbcaababbccbccccbbabcbaabababbccabbcaaaaabbcabcacccccaabacbbaacbccbcacbcaccbabbcbbaaacbcbabbaacccccaaabaccbbbcbbbabaccacaccbbabacbcabaaabbbcbaaacbbaabcaccbabbacaabbabbccaabcaaabcbcccabaacbacbaacabbabaaabbcacccbaabaabbbcbcaababcbabacbbcbabaaabccbccbcbcabbcccbbcccbcccaaaaacccccaccbbbcbbccbacaccacbaaaaacabaabbbcacabacabaaacbbababbbcacbccabbacabaaccaacabcabaaabcccabacababaacbccbcbbaccababcaaaabccacbcccacbcaaccbababcbbaccacaaaababccccccbbbbcbaaccacbbbbacbbaaaacacbccacbbbbacabcbabcbaaccbcbbcaccbcbbbbbbbcbaabababcabacabbbaccbacaabbcccabbabbbcccacacaaccabcaaccbccacabbccaaaccabcccbccaacabacbbbcbcbbbcacaccaaabbccacabbcbacccbbcacbaabcabbbabccaaacbccbacabaacabcbbbbaacbabbccabcaacbacbcabcbcaaaccbbbbacbbcbbcbbbaccbaacaacaaacabbcccbbbbbbbbacbbcbbacaabbccbabbacccbbcbcabaaccbaabcbcaabbabaaabbaccacaacccaabbcbabcaacaccaaabbcbbcbaabaacacccccabbbacbbabcaaabccbaccbcbabbababbcbbcbacbbccbaaccbcacbaaccbbbcacccccccbbbbacbacacabbacbabbccbcaaaccaaaababaaaacbcacabcbccaaabcaabcccaaacbbacccabacababcbbcbccaaaaabaaaaccbaaccbcbacbcbabcaccbcaabcbacbcbabcacbcabacbacbbccbcccbccbbcacccaaaabaaabccbaccbcbbccbccaaabbcccaabccccaaacabacacccaacaaaacbbbccacaaccacccbaccaababbbbccabaaccaccccaababcaacccacbbbcaacabbaaacacabccaabbacaacbbaccbccccabbbaacccabbababacacccbbbcccacbbbabcaccacaacaaabacaabccbcbaaacabcabaaacbbcaacbaaccbbcccbbccbbcbbcbbcbcbbbbcaacccaccbaaccabbccbccbccbaccacaacbcccabbbbaaabbabaccabaabacabcbcabaabacbaccacbccacbabbabaabcbbaaacaabaabccbbabcbbcacbaaacacaaacabcbcaaacaacbcabbccaabaaccbabccccbccbcbbabaaacbbbacbacaccbbbaaaabaacabbaaacbcccbcbaaabccbccacbcbcacbabaabacbbcbcacccccabbcabbcaaaaaccabbcaccabbbbbaabbbabbbbcbababbbcaccbbacbcabbbbaccbccbccbbacbacccacababcccaacaabcacbabaaabbacacbacbacbabbaccacbbabababaaabcbccbcbabacbaacacbbcbbababaabacbababcbbbbcabbcbbbabcaacbbabbcabcbcaaccaabbcabcaaacaccbbacbaacbcbccabbaccbbcbacbacbcbaaaccacabbaacabbbccacabacbacaabccbabbcbcbcbbbacabbabbbbbbacbbcccacccbcaaaababbbcbcaabaccaaaababbbcacabbaaabbbccaccabcbaaaaabaaacacaacabbbbbbabbbbaacccbabacbcbcabcbabcbbabacccabaaaaaabcacaccccabcccabbcacabbbcbacabacaacbabacabacbcaccaaccacacacbbaabababaaacaccaccaaccaaccbcaacacbcbccbcbbcaccbaaaabccabcbbaabbbcbacaccbcaabbcbccaabbcacbccacbcaaccccabccbbbbbbabbcabbccaacacabbbababacaacbcccbacababbcbcacbcbccbbbabbbaaccacbcbcabacbbbacabaacbbcbacabbbcacbbaacacaabaababababacccbcaabaaaaababcbaacacbabcacbcbaabccaccaabccabcbbaabaabbcccbccaaacbaaacaacbaabbbbaccccbcacabbbbabbaaaaccaacbbaabbaccbcacaacbcacabbbcacbbbabbcccaacababaaaabaabbbcccaabaacaccccbabcbaaabccbbabaabbbccababccccbaccbbcacbaaabccbabbcabacbcaabaaaaaaccbacbabaaabaabaaaaabcbbbbabaacccabaacccaaacccbccbcacacbbbcaacaaaaabccbbbbcccabbccccaaacbbaacbacbbaaccbcacbcbcbcccacccbcbacabacbabcaaaabbbbcbaccccaccacbbbacabacbaacabbaaaabcbcabbccaaaccbbbccabaccbcbaaacccacbbbabbbbbabbccbcbaacbcbcbabcbbabbcbacbbcabbcabaacacbabbcacbbacacabacabbbbccbabaccaacabcbbbcaacbaabcacbcbbbbbbbbcbaccbbaccbbccbaacaccaacaabbcbccbbbbbaacabbabbbbccbbbaaccabcbcacabccacbabccbbacabacbccbbaabcbccbbbbbcabccccabcacacabcbcacbababbabaababcaaaccbbbaacbbcbcbbcbcaacaabacbacabbbcaabcccbccabcacaabcacbcbbacbaababcbbabcaacabcacacbaaaccaccbccaaaaaacabbbbaabaacccaaccbbcaacacbbbaccbcbbcbbaabcbcbcabbbcbaabaacaacccbabccabbbcbbabbbacbacabccccccccabcbaabbaaaaccacaaabcaacccababbacaccaaaacbabbabcbbacbbcacbbaababcaccbaaaacbcbababbcbbccaaaaaacacbacbccacbcbaababcacacbaaaccbbccbcbabcbbcbcabccaccaabcababbaaabbcaaabacbabccbbabcbbbcababbabccabcacbcaccbaacccbabccaacccbababbcccbaaaaaabccccabaabcacbabbacbacacbcccbcaaccaaccbabccbbacbbccbacbcacbccccbaccbbcccbcbcccbccbcccbababbbaacbcccaabbaccbaabaaccbbabcbaabacbcacccbbcaacbacbacccaacbabbccbccabcccaccacaccbaccacbbccbbcabcabacaaccbbcabbaaababcbccccbbabcbacbcabbaabaacbcbcacbbbabcccacaaabaabcabbbcaacbbaabcabbcbbbccacabccbaaabbcbccaaabcbcbcabacbaaccbbcbbcacbbaaccacccaaabbcacccacccacaacccacbcaaaaccacaacbacaccbbcabbbbbbaccccbcbbcabaaaccaaaccabbbccbbcaacabbaacaabaababbccabcbbbabaccaabcbbbaaabcbbaacbcbaaaaaacaabcabccbbcccbacacccbcbaaabacabbbcbcacaabcabcababbaccaacbaabbbbbacbccaaaacbaaabacbbabccaaaabccbcaabacccbabcbccccbbbcbbacbabbbbbbaacbabcabcbbaacaaccabcabcbbbaabbbccccccbcbcacbaccacaabaaacccccabbbacbcbabcbbbbacaabcaacabccbcaacabaaccabbaabccbbabbabcacbccacaacaabcccbabaaaacccaccaaccbccaabbaaaacbaacbbcccccabaccbcbbaacbcccccacccacaacbbbcacbbcbccaccccacbcbabcbbbcacabbcbbacbacaaccbacaccbcbccbcaabcabbcbaabccabacbbcbabaaacccccabaabbcbcbacbabaaabbbcbcacabbccccbacacaacbabbbbbabcacaacccaaccbccccccbbbabcccbcbccbccbacbaabbcaabaacbbcbaaccbbbacacbcababcccacbccabbcbccaccacacbbbbbcbcbaccacabbbccaccabaaacccabaaacacbaabcabbaccbccccbbaaccacaacbcaacbacbcccbbabacccbabbccbbabaaaabcabacbabaaacaaabbccabcbccacbaacbbaababcaccabcbbabcccbbcacabccabcbcccbabcbcabcaababcccacacacbccbbccacccabbccccbaaabaccbabbcbaaaabaacaabcacbabcaabbacbaabaccaccabcbccbaabccaccbcbabbbcbabbabbaaccbaccaacccbbbabcbaacccabcbabbaabcbcabacbcccaaaabababccbcbaabbbbbbacababcacbcbbbabbbbcaccbcabcacacbbbbcaabaaacaabacbacabaccabbababacbccbcbbbcabaaccacbcccbbaaaccaabacabbcaabbcbacaaaccbbbaaacaaababbbbccbcccccaacaacbaaaaabacccacbbabacbcabaaabbcbacbcbbccaabbabaabaacaabaaabacccaabcbabbabbbaccabaacaabbbbacabaccacaaaacbccbbabbbbaacacbbacbbbbbabccaabababccbacbbcccaacaccbbbabcacaaacaacaaababbabccccbabcaabaabbcaaaaaababcbcaabcbbcaabacbbaabbccabacbbacbbabcbbbcbaaaababbbacaccaacccbcabaabbbaababbbabacabacabaaaaaaacbabccbcabcbcaccbcaaabacbcaacabacbbabbacbbbacabaaabbbbaccccbbbbbaabacaabcbbccaccabcababcbacaababacbabacaabacaaaaaacbabbbabbbbabbcbcbacbbbcaaacabacacbabbcababacacaacbcaccbbbcbcbccbcabcababaacccccbbabbcaaabcabbcacaccbbaabacabcbcabaabbbabcbcaabbabcabbccbbbbbccccbacbbcbcbacbacbabcbcbccbbcbbcccababcbaaaaaababbcabccbbbaabbbacbaacacccaababacacabbbcbabccacaabcbbcabccccbababccbacccccccccabcacbcccbcccacbabbcccccacacaccbaacbcbbaaaabbcaaabaaacaacaacaaaccabccacabbcbcaaacbacccbbcabbbbacbbbcbbbccabccbccabaccbabbabcabbbbbbbcbaabbcbacacaaaabacabbaacabccaccaccbabaccaaabbbbaccabcabcaccbccbcacacabccabbaababbaabbaabbbccbcccbbaccbbbbcbccaabaababccbabaccbbbbaabbcaacaaabbbbcabaacbcaaaacbaabaabaabcbcbbcbbacbacabacabcaacaacbabcccccbcaaaacbcaaacccbabacacacbbcabbbabcabaaabccaccabaaabcaaabacccaccbacbacbcaabccacbaabcbabbbaabcbaacabbaccbacbbaaccabcccacaabbbbaacccbcabbacaacabcaccbaacccabbbaabbacacbbcbcaccabaccbcccaababcbabcbcbcacababbbccaaacbacbacabaacabaabcabbcaaabcaacbcabbccbbcccbabbbcabccaacccbcaabbcbaaacbccbbccacabbbccbaccaacbbacbcbcbabcbbacbabbcaaacaccbbbaaacbcbbbaccbaaaaaabbcaacccabcbacaaabccccbaacacbbabbaaabcacaaaabaccbabcacabacbabaacbcaaccacbbabbcaaccbbbbcaabbbbcacabcacaccbbaacabbcabccaccbbacbcbabcccabcaabbaccabcabaccaabbcacccbacaaabaaaacbcaacbcacbbcbbbcbabcccabbaccacabbabcbbbccbccbccbaabbcbabaabacbbbaccbccabcbbaaabacaabacbabccbccbbcccabbacaccaaacbbcbcbaacabbbcaaaaacbabbbabbccbbcacbbbacccbbbacbcaaacaaccccbbbbacbbacbabccbbccbbcaaccacababbabaaaaacabcabccaaacbbcbabbccbcccbcbcaaabcaccbbaccbcbccbaabbcbcacabbbacabccbaabaaccacacccaaacbcccbcbcbaccaaaacbaacbaacaacababacacaaacbcacbacbcbccacbababaabbcbcbbabcbcabcccacacacabccacccbcccacabbcbcccaabccaaabababbaacbaabcbabcacbcbbbabccbbbbcacbaaccaaaaabbaaacbbbabccaaccabbccbbbcbabccaacbbbcaccababcbbcbcbbccccbbabbcbababbabaabbbbcabbcacbaabaabaacbcbbbcbaccaacacbbbbbaabcbabbacbbbcccccaabbababcbbabbcacbbaccbbcababcaacabcbcccbcacabaaaacbaacaacbbabcaabcaaacccbaaabbbbbcccbbabbccbcaaabccbbacabcabcbbaacbabcbcacbbaabcbabcaabbbaababccbcaabbbbbbbacabbbbcccbcccbabbbabbcbccabcabbbbabcaacbccbccccbcbbcbacbcaabcbbabcbbaabbcaccccaabbbbaabcaaccccccbaabbabacaacaacbaabbabcaacaccbbbccccbbcbbcaabbcbccbaaccababccacbaacabcacaaccccccaacbbcabcacacbacccacccacabbcabcaabacaaacccacabbacbaacaababcccabaacaaabbcbabcccaabaabbcbbccabacccccccbcccbbbbbacbaccbbcccbbbacabcbbcaaaabbccbaaaaaccaacccabaaccaccbccabbbaabbacbbbbcbcbbcaabbcaccccbaabcbaaababcccbbbbbaccccbbcabaacbbcbbbcaabbcaaacaaccbbbbbbcaacbaababbcbbacacacbcbcaabbcacacacccbaaacacacbbbacabcbbbbabbaacbcabaacccaabccccabcaaabbcbaabbcbbbaaabbbbcbcbbaabbbbaababcacaccbbaacacccbbccaabaababaaccabbaabbabccccccbbccbcacbaaacacccaccbbaaaacbacccaaccbaaabbbaaacbccaaabcbbbcaaabbbaabacababacbcabaaaabbaacbbbababbccacabcbbbcaccabcbabbbabbbbbccbabccacccccacbbaccbabaabaccaacacacbbbabbcaabacabcbacbabaaccababbbabaaabcbcbbaabbbaacbcccaccbacbacacbbabbcaccacabbcccccaabccccaabbbcaacccbbcbabaaccacbbbccccabaaaaaabcacccbaaacbaacababbccbcccaacacbbcbccaabbaaacbcacbccabcaaabbbaacbacbbcbbcbbbababcbcabacbbbbabbaaaaaccbccabbcabacaccbbacccabcccabcbaaababaaccbcccaccbcaabbccbcccbcbbbccbcbcabcbaaabaaaababcccbaccacaaacabccaabaacaccbcbacacccbaacbbcaaccbaacaababbbbccbccaccbabcbbbcbaacbbbbacaaacbbbbacccccbcaccacbccacbccbaacbbbbabccabbbcabbbbabacbcacbbbabcabcabcacbbcccacbccbcbacbcaacaabbbbcaabbcbbcbaacbbccabacacbcacabcacbababbcabcccaaaabaababbbbabbcccacaaccacabcbbabbbacbaacbccbbabbaabaabbabaacbccbcbcacbacabacccbacbbabbccacaababcabaacccacacaabbccbaacaacacaccbbaccbcabbbccbabaccbaabcbbcbcbacacacccbccbcbacbaabbababcbcabcbabaaaaacacbbabbccabcbccbbcabccaaabcbabccccccbbcbbbacaccbcacccabbcbbbcbbbbcacaccbabbbcbabbcccbbcbccabccccaaaacaccaabacbbbcbabcbbbababaacbabcababbbcaaacaacabcccbcbcaabacaacbbaaacaccbacbaaabcababbbcaacaccaabaaccbbaaaabaaabcabbaabcbccaabbacaacbabbbaabcccabbcbbbaacbabaaaabaccbbabaccbbbcaccbcbaaabbcbacacbcabbacacccbccabcccaabbacabcbaaabcbcbbacccccacbaabacabaabababbacaaaacbbbacbcacbcaacacbcacabacbacccccabcacbacbabcbcbcbaabccbaccaabcbcbabaccababcccabacaccaababbaaccccaabbaaacaaacacbccabcbcbacbcacacabbabaacbccabacaccabcbaaccabccbbaccccbccbaabbbacabbaccbcabbcacababacabbabcbccccabbbacbabacbabbbbaacaacbbbcccbbbacbbaababbaabbbbaabbabaabaaabbbabbabacbaaccacacacbbcbbccaabcbaaaaaacbcaababbacabaabacbcaaabcabaaacacccacbaccaabacaaacccbaaaaabcccabbcbcaababbbaaaabacccabbcbaabbbbcacbabccaccbbcccbaacbacccbbaccacbabacacabbbbcbccaaacabbbbcaacbcbbbaaaccbbbcbbcabbccbcbaabbbbccaaabccaacacabbbbaaabcaacbbcccbabccacccbbccccbcccbaabbcacababbbbbaacccccaaccaabbbacbcbaabccbcbbaaaacabcbbbcbaabcbbababcaaccbbccaacccbabbbababbccabcbccacabaaabbcbcabacaacbaccababcabaacccacbbababacacbcccbcabaabbaacccbacbbcaccacaccabccabcaabaabccbabbccbcaabcacaacbbacbacaacacbabaababbabaccbcbccbacbbbcabcabbcacaaacccbcccbacccacbbbacabcbccaccaabbacacbacabacacabaccbacaabbccccabcaacbcacbcccccccacacccabaaacaacbbcccccbabbbcbaccbabaacccbcacbbacbaacbbbabcaacabbacbcabbaaccabcacacaaccaaabbbaabcacbaaacccbccbbcbbcacaabababbaccccbccbacaabbbaaaabbcbacbbcbabacaacaaabacaaacabbbccbcacaccccbbaccbcacaabbabbbcbacaacccccbbcaaaacabbccccaaabbacbcbacacaacbcccaabbcbaaacabbabaabccbbbbabbcccaacacacaacbbacbcabacbbcbccaacbccbccccccabcbcabaaaccaaaaacaabacbbbcacbcababcbaababcabcbccccbbaaacaaacbcbbcabaaacbcbbbcbccbcbbbcccacabbbcaccabaabcabbacbabccabbaacaccbaacbcbcbbccbbcacbacaacaacbccacbcbcbaabcaacaacbaacbacacbaccabcccbcaabbcbbbcababbbcabcbbbacaaaaaccbaaaaccbbccaacaacaaccbaccbccabaabcccbbbbbccbbbabbbaaacbaacaabacbcaaacccabcbabbbccacaaaaabbabcacacabbccbcaabacabccccaccbbbcaacbaacccbaacbaacbabacaacbababcbabacccaacaccbccbbbccbbbcbbbabbaababbbbabccaabbbcacaababacaaabbcacbabbaabbaccccbbbcbcbacbcabbbcbababcbaaabaaabccbccaacacacbaaaccccbbbbacccbacabbbaaacbcaabbcbbcabbcaccbacbbacbaaccbacbccacbcbaaabaacbccbaabbbaaacccacbaabcaabcaccababaabaacaaacbbbaaacbccabcccaaccbbabcabbbcbaacababbcbbcabcacccbccabacabcacbaccbacbaaaccabbaacaabaccacacbaaabababcbabbbabbbcaacbbacaaaaabbcbbcacbaccacccabaaabababacccabbaacabbbacacbccabacbbcacccacbcaaaccccabbcbbccbacccbcaccabcaaacbabcbcbbbacccaabccbbbbacabcabcbcccabbcbbccbacaabbbccbbcaccbabbbbccccbccbccacbcbbccbbbbbcbbccabaccaacabcacacaaabbabbabccabacbbccabcbacacaabaacacaacacaacabbbcccacbbbcaaababababbaaaccaabcbbcaccabbcacbcbcbacaaaaacbbababbccccbbccbbcaccbbcaacbaacbaacccccbbbccaccaabaaccabcbcacababbacabccccabbbbcaccbccbcaaccbccaaacaaccabcaaaabaabbcbcbcbcacbabacacbbcbbbabaabbacbaaaaabaaabaabcccbabbcbcabcbbabbcbcbbbcaaaacabbcbcbbbbbabbbabcbbbacbaabbaccbbcbaabacaacbcacaabbbababaccbcbcacbaccccabaccacaacbacacbcaacbacabbcccaaccbabcbacbababcbbcbbcccbaaaaabccabccbaccaaccbacbcbcbcabcabbccccbcbcbbbaccabcacaabaaaabbaacccababbcccbbcabccacaccabcbaabcaccbaaaccbabcacbbbbabaaaabbccccababccccaaccccbacababcaaaacabababccbcccaacaabcacccccaacaaaabcbcabaabcacbabaaccacacabcabcacbcabbcbcaaabcccbbacbabcccaacbbbcbbcbcaabbabcccccbcbacbabaaaaaabbbaacbcbaabaabcbaacbcacccbaaacabbabbcaabbbcbbbabcbbccccccaaabccbaacabaccbccaccbccaccaabbcabacabcaacaacbacbbbcbcbcbacbccbaaabcbcaabcaccababaaabaabaabbaaabcbabccbaacaacbaaaaaccbbccbaccabcaaaabbcacbabaaacabaabacbbaabacacabaaabbbababccbaabccbabbccbbaaaccbbcabaaacbcaccbbacbcccabbccabbcababcababcacacbaabbbbbcccbaccabcbbabbaccabacccaacabcbbacbcbaaccbbbacbcaaaccbaccaacaaaabcbcbaabcacbbccaaaacaaccccbbcccbaabccbababcacaaccccccaaaabaabbabacbaabbcbbccacbccbcbbbbccabaaccbabcccabbcbbcbbaabbcbccacaabbabbcabccbbaaaacaacaccbbbbbcbbbbacbbaabcbcbbbaacacaacccbcaacabbcabccbabacbacbbbbbbbabcbcbbccbacccbbcabaaaccccabcbcccacbaaabcaabbbcbbcbbbccabacaaccabbccccbcacccccbacaacabbcccbcaabbcabcbcabcbbbbbbcacabcaaabcacbccaccbaaabbacabbacaacaabbaacbabaccacaabacaabbbbbbacabcbaabbacaacaccabcbaccccccabcbabcbbbbcbbcccbacacbabbbcaabcabbaacbbbcaacccbbccbcacaabbaaccabbccccacbcabbbcacbbacaccacabccbbcacabacbacaccccbbcbbbaccccabaabaccccbbbacaacacaacabbcacabbcaabcabcabaaaabaccacacbaabbabbbbcbacccabcccbbbbababaccbbaacbcccaababcbccbcccbcbabbccabababccbbbabcabbbaccaaabccccaaabaaacbccbbbacaacacaccabbcccbabaabbbaacccaaabbccabcabcccbbcabbcaccbccccccabcbbaaaacbaacbababaaabbabbaacccbaacabcabcacababaacbcaaabccaccbabbaacaaccbcbbcaabcccbcbbbbaaaacccbacbbacbaabbcbaccaabbbabccabbcabcbaababbbabcbabcbbcbbbbacccbbccacacbbbaacaabccacccacbababccabaaacaaccccaaaabbbbccbaaacbcbabaacbabaacbbcbaccbaacbccbabbbcccbaabbbaabbcccccbaacacacbcabbacbbabcccaabaaabccbcabbcabbacbacaacccbcbbacaccababaccccbbbbbaabcaaaaacccbaabababccbabcccbababcaaacccaccbbcabaaacbbabcacbabccbcbcccacaccccbbbaaacabbbabbbbbccbacbccbacbaabbcbbbaaccabccbbabbccababbccacabacaaaaabbbcacaccaababaaccacaabcababbccbababcccacacacbbbccccacbccbbccbbbbaabbbabaacabcccaabaaabbaccbacacbccbccabaabaaaacaccbaccccbbcabbcaacbababbcacbbbcbcccaabbaacababbcbcbaccaaacbcacabbbcacaaacbaaabbacccacacbccbcaacbbbaaccbacbaccacaabbabbbbabcbabcacbbccabccabcbbcbbacbcbcbacccccbbcbcccbcbbabbaacaccaaaaacaaacbbbbcbabcacacabccccaacbbaaaccaaaacacabaabaaacaacabbccaacccccbabbaaccaaababbcbcbbacacccbcaaccbbcccbccaccacacccacaabbabbabcacaacacbbabcbbabbbcaccbccbccabcbabbcaaccbcaccbccaaccbaacbabccabababbbcbbbbabbabbbbacbcabbcaabcabbacbbaabcbbcccbcacbbaccbbbcbbaababbbcabbbcbcababacacaabcccabbacacbbbbcaabacabbaabaabbbcacbbabcacbabcaaababcbaaaaaaaaacabcccabbaaaccababbabaabccacabbccccaabbaacbbababbccbbcacacaabcccbaacbacaabcccbccabbccccccbbabcbacbacaacbabcacbbaabaacacbbabbbcabccbcccbcaccccabbcbbaacccacccbcbccabbaaccaaaaabbcacbbaababbcaaacababacbaaaaabacbabaaaacaabbababbcbccacccbccbcaaabaaacbccbacaaacabbbcaacbbaccbcaccbacacbbbcccbccbcabcccccaccaabaabbbaacbbababcbccabcbabbccbbcaabaacbabcccabacbaacccbbbbbabbbbbbacbccaacacaccacacbcabbabccbaccaacbbaabacaaacacbbbbbccbcccbbbaacabcbbbbabcaccbbbbcacaacbbcbacbcacccababaacccabbbbaabcabcabccbcabcabcaaccabaabaacbccabbbacaaabaacbcbbbbcccccbcbabcbccbccccbbbbacccaabacccabaabcbbcaabbbcccccacbbcbbacbaccbaacbbbbcacbbcbabcbcbbabcbccbccabbbbacacaaaaccaacbacbabacacbbaaccbababcbbccbabcaaaabbccbacabcccabcabacbabcacacbcccbacaabbaaaabaabbcabccacbcbabaacbaccbacabacbacabbcbaaabbbacbcbccabbaccccccbcacacaacabcabcaacacacacababcbabbcbcbaaacabacabaabacabaabccaccbcbcbaacbcabcbccbabbabacbacbacacacabbbabcaabcbaaabbbbbbcabccaaccaaabcaacbacccacbcbcbabaaacacaababbccccaaabcaaaabbaccabbaabbbacbbaaccbbcabcacccaabbbcbbaccbcaabaacbcaaaabcccabacbabbcbbbbcbbbacbabaacacbabaaacabaaccaabcbcbbccbccbbabacccacbbcabcabaabbbcabccacbcbacabcacacccbcbccabbcbcabbaaacabcbaaababbbabbcbbcabbbcbbabbbbacbacabcccbbabaaabbacacaaacacacaaccaccbbccccbcccbbabacbaccbabcbbcabcaacbcbacaabbcabaccaaacbcbaacaabbacbbbcccacabbbbbbbaababbbbbaaccbcabbbccacaabccbcccbbacaccbacabbccbcaabacaabbacbccacaccbaccbbacccbaccccbbbcccabacbcabbcaccbacacaacccbaacccaaaccccbcbcbabcababcaccbcbcabbcaabbabcaabbaacbabacbbbabaaacccaaabbbcabacabccabccacacccacbaccaccbaaccabbbaaacabcbaccbcbcaacacaabccbbacabbaccaabccabbbbbbccaccbaabbaabacacacabaabacaacbbaabbcacbcaaccbcbbcaccbabbbcbbbababcbbbaccabbcbbbccbcabacacbcbcabccaabababaaaccbacbcacccbacbbcbccacbaabbcbabbabccbcbacbcbbacabacabaacabbcbcacccacbbacbaaaaacacacbbcabccbbcaaabcaabaaccababcaccbbccbcbaacabccbbbcbccbcbbcaacaccacaccbcbccacbabbaacbaacbbbbbcbccccabcbacbabbbaabacaacaabcabacccbacaccabbbccbcbacabcccaccccaaccacacccbaccacbaccbcbbcccbcbacbacbbbaaacaccaacbcbcabaacbbaabccbcbbbcbbababbbbabbbbbaacaabcccbbaacbacbacccaacabbcbcbcbcaaabcbacaacbcaabacbccbaabbbabbbbacbccbbbbcccabacaababcaacbcaccccccaccaaabbcaccaacabcacabcaabbaccbaccaaacaccaaabbaaaacbccccbbcbababcaaabbbacbbbacabababbaccacacbbccbabbbbaacbccbcbbacaacabcabacabaaabcbccbbbbabbaaaabcacabcbccacbcccccaaaacbcbcaacaccaccaacccbabccbcccacbbabbcacbbabccbcacccbccbcccccbbcccbcabcabcccbaabcaacbcbaccccccbcbbbabbcbcacbbabacaacabccbaabbaaccbbcabaaacabaababccbbacbccabaaabcbcaabbbcababbaaacbccabbaaaaaacbbacaabbbcaaabccbcabacbabcaccabcaaccbabbbcabcbcacccbabaccabcaaacbbccaaacbaabbbcbbcbabacabbccbacbbccababaabbbcabcacbcbbcbcabcacaacbcbababbabbababcbaacbabcababbbcccbacbabbababcaacbbcbaccacccbbabcaabcaaababcbacaaabcbcccacaabaabbacbcaccccaabababcbccbbcabaaccacbbbaaaababababacbbabbaababcaccbcbcbacaccccccaaaccaabccaababcabaabbcbcacabbccaacabbcabaacbaabcacabacccacbbaabbcbbbbaaacbabaaaaacaaacacabcaccccaacacbcbaaaacaaaaccaacbbcacaaccacccccbbcbabaccabbbaccacbcaabbccbacabcbbabaaaacacabcccaccaccbaacabcacacbcbacbaabccacbcbbbabacbbacabcccaabccbcbbabcaacaaacbbbccbbbcabbbbaaaaaacaacbabcacbbbcccbcabbabccaaabbacbbabbbabbabbbbacabccaabbacbcaabbbccbaccaabcaacbccbbcbbacbcacccacaacaacabacaccabaabbcbaabbabcabaacacccbbcbaccacbaaccbacacaabcaaabcbbcabcaaaccbcacbabaaaaccbcbcbacacbbaacaababaabcaabbabbbaccccbacaaabbccabccbababcccabaacaaaccbbbacbbbabbabbcacbccabbcbbcacaabbaabcaabaababbabbaaccaabacccbcccccacaccbcabbcabbabcacacbbbaababbbbcaacbaabccbaacababbcabcbbbcbbacbaaccacccbccacaababcabacccaaaacacacbbcabbaacbbcabaabbaaabacbbbaaaacacccabcbabbacabacaccbaaabaaabbabcaaacbbcbabbccacbcabcbbabcbbbaabcbcbbaccbccbcbaabcbcbcbacbacaaccaacaccabbbccbbbaaabaabcabcaacbbcbcbabcbcaaaacbcbacacaaacabbccbcccbccabacacbacbbbbccacaaababcacbacccaaaabaacbbbabbbccbcabcbaabccbccbbbaacccccabbccbcabbacbcccbbccababbbacbbbbbcbbbcaccbabacabacbcabcabccaacabcccccaacabccaacabcbbcaaaaaacaaacbacaacaabaaccccbacbccabcbbcccaaabcacaaacbaabbbaabaabccacbbabbbaacccabcbcacbabaaabbabbbacbbbaaabbacaacccacaccaaabacbabcabbbaacccaabacaabcaccbcabaabcabaacbbcbabbbcbbcbbcacbabcbcbcaaabbccacabaabcbababbacbbbbbcbaabcccbaacaababcbbabbbabaaccbbbbbababcccbbbcacbbbbacbbaacbcbacbbccbaabcccbcbaabbcabbbacacbcaabacababbbbccabcabbababbacaabbaaabcacccbbaaaacbabacbcaaacaacbbcbaaaabcccbbbcacbacbbaabccacbabbbbbbaabbacaaacabaaccbcacbbaccbbccaababccacbbbaabcacacacaaabcaccbabcabaabbbcaccccccbcaabbccacbbacccbcccbccbcacbccbcbcaacbababcbcbbbbbabcbcccbaaacbabaaacacbbaccabbcaaccccbbcbabbcbacbaabbbbacacbaababcaaacacacbccbbcaaaacbbbbabcaacccacbccacccbbbcbcaccbaababcbccccaacaacbcbbcaaaaaccccbabbcacbbbaaaaaaabaacaababaccaccaccaaabacccbcabbbbabbccaacacccaccbccababcbabbacbabbbccbcaaaaacabbcacaccbabcaacaabcaacaccabacbabacccbacaaabbcaaaaacacccbbbabcabaacbbcacbbcaacccccbabbbbccaabcaaaccaabbacbcacbcabaccaccabaacbccbbaaccacccaccaabcacacaabcccbccaccaaccbacbcbbbaabbbacaccbcaacacbbcbbbaaaaacaacccccbaaaaacccbcaabacbcbcbbcbbbbababbaacacbbbabbbabcacbccacababbbcbabacaacacbabbccaaccccabcbacbaabccababbbcbccacbbabbbacbbabbabcbcbaaabaaabaabbbaccbccabacbabcababaabacacaccccbabbbcbcaccbbbaabcaacbabcbccbcacbcacbbbaccbaacabbccbabacbaacabcbbabcaabbcabacaaaaaaccbbbbcabbabcacbaaabacbccacbccccccaccbacbbcbabcaaaacbbcccbbcbcbbaaaacabaacaccaacacacababaacaaababcabbcaabbcbbccccccbaabccbabbbaaaabacaaacbcbacabcccaccbccbaaabbccaabaacaabaabcbbccaabccbbcccbabacbabaccacbabcaccacabbcbbccaabbcabbacaccbbcbbcacbabcbbbccbbabcabccbbbabcbcacbacbaaacbbbbbaabaacacaacccaaababacbbcbaaaabccacababbaacccbbcbcbcbacbbcacaccccbcaaccacacbbbcccaabbaacaaacbcbbaabccabcbbbbaacbbbcaacbbaabbabacbabcaabbccacabcaaccacbcccacaabbcccbcccacacabcbaaabbcacabbacbbccacabbaabcaccccbbcabaaaaacbbcacbaaccbbcbbbaccbbcbbababbcacaccbaacbcbccccabbcbbbbaabaccbaababaaabaccacbcacaacccacbbcaabcaacccabacabcbaabccbaababcbcabaaaababcbbbbcbbcbcabbaacbaaabbbbcccbcbbaccbaccbcabcbbcacaccaabbcbabacbcabcaaabaacacbcbababcbccacacabaacbbaaacbaacabcbaabcabacabcacbaaabaaccbaccbabcaccabacccbbacbabaccacbcacbaabcbbabbbbaacccbabcbbaccaaacccbaacabbbababcbcbcacabbbbabcbbcaabacbbbcbbabaaabbacacacabccababcccacccbcaabcbbbbccacbabbaccacacacbbccabcaccababcaaabccacbacabcbbbaaabcaabbbbbcbbabbacaaccbbbcbbabbcaaaaccaabacbcccbbcacabacababcccbccccbbaccccababcccbcaaccaabbaccababccbaaaaaaabbacaacacabaababacbaccbcacbcccbcaacbabbcbcacbcababbaaaaccccaccbcccaccabccacababbcaacbabbabbcbacabccccabacacabbcaacabbbcbababcbaacaacbbbabacbcaabccbcccbbaaacacbbbcabbcabaabccbcbbabcabaaacacccbbacbcabacbaacbabbcbbbccabbbaaacacabbcbcacbbcbcbcaacacbcbacccaacbbacbccbbaaaabccbaccacacbabcaaacbbbbcacaabaaaccabbbcabbaaccaaababacbbcacacacbcacccacbbabacaacbaccbcccbccbababcacbcabaacbcaabaabbcbbbcaaabbcbaaccbabbacbacbbbbacbbbabacacbbcccbcacbbbaaabaccbbbbbccccbbbaaabbbaabbbcccccacbbcbaaaaaaabaababaccacaacacbcbccaaaacbbbbcbcbcaccbcbbbacabbabbccccabaabacbcbabbbcababbacabacbcbcabbaaabcccabcbabbbbbbabbcabaacbaccaabbbbbbbccaabbccbbabbaccabaabaacabbbabbcacabbaababcccbcbbccbccacbcabbabbabccbacbabbbaccbbbbcababbaacbcaababacbbccaacbacabbbccbabcccbacbccbbcccaccbbabcbacbcccbaccbaabbcbcaccbabbcacbbccaabbbbcbbabbbabcabccacabbaaaaabbbaccbcbccabbaabaabaaccccccaaaaabcacabcbccbcccbbcccaaabbbcbacbbccbcccaabbabcaacaaabacccbccaabbbacbabcccaaccaababaccaacbcaabababcaabacccacaccbabcaccbcababccccbcaabaaacbbcbbbaccaccbbacccbacbacbaaabacbcbbcbbcaacacbccbabbacbabcaccabbbbabbcaccbabcccbcaabbbaacbbbaabcccaacbbcabbbabbccababbbcaacabbcbccbbacacbbaaacbcbcbaabbaabaacccaaccaccbcbccaacbaaccbbcbcbbbaaccacaabbbbabcaaaabcaababbcaabccbbbcaccaabacaacaaaacabbcbbaccacbbaacbbacaaaabaabcaaaaaaaababacbcbcbacabbacacbaabcacccccbaacbacccacbabbacaababcaacccaacbcabcaabacbacbcaacbcbacbabbbacccabaaaacaaabbaccbacbcbacbcbccaabaaccaabaacbabcabacbbaabbbbabcaccccbbaaabbaccaababacabacbcbbbcbabaacccaabcccccbcccacccabbbaccaaacacbbaacbacbaaabcbbccbbbbbbcbaaacbcbabcaaccccabbaaabcacbababcbacacabbbbbcbbccabaaabaccbcaabccbcbaacbcaaccbccaabacccaccbbcacccbbacbcacabbcbbabcababbcbcabacacbbbabbbbbacabcaaaccbbaabbbbbcacabcbcacbcbbaabbaccccabbabcacbabbcaccacbaaaaabcbbaaaabbbcaaaabbbaaccbacbbcbccaabcabcbcaaaaccbbaabbcbcbaccccababcaaabcaacccacbbbbbbaabbcbcabbabaccabccccbcbbccaaaccccccabbababcbcbcccbbbcabbcacbabbcbacbabbbccaacbacccbabcbababccbccabcabacabaaabccbcbaacbaacbabcaabbcccbabcbaccaaaaaccacabaaaccbacbcccbacaabcaccbabbcaaacabacbbcaaccccacbcabaccbbabaccbbacaccbbbaacccccabbbcbaccacccaaaabcbccbbbbbcccacbcbbcccabacbbbbacaccababaccbaabbcccabccbaaaaacbbbabbcacabcbcbcacbcbacababbbbcbbccabacbccbcbccabcacbccaabcabaababcacabbcabbbccbcbccacaacbabbcaaaaccaccaaababccaabacbcbccabcabcaccaabcabacaabccbcbaccaacbbbbcccccbcbacbbbacaacaabcbbaacaaccccbccabcabbbccbacaabcbcccaacaaabcbaaccbcccacacbcabaccaabbccabacbaccbacabcbcabcbcccbaccacccaaaabbcaccbbbcbbbcbcaccacbacbbcaaccaacaacbcbacbcaacbaccbccbbacacbbacbcaccabbcbcbaabcccbacaabcacababcbaaaaabbacbbcbbbbabbcbbccbbcccacabcbbcbabaaabacacabccbaccbcbaaccccbaacbaababccabbccbbcbcbacbbbcbcabacaaacaabaabbbabaaaccaaccabcabcaabbcbacbacbbbcbbbbcbcabbaccccaababacbbcccbacbbaabccbbbcaaacccbcabcacaabaccbbaabababaaaabbabcbcbabcccabbbabbbcaacacbccbabcbacbbcccacaabbcbcaabbaacbbbaaacabababcabccaaaccacccbacabaccabbbbacbaacaccaacccabccabbccabaabaccbaabcaccbbacabbaaabbcaaccbaaaccbbbaacaabbcccabbbaaabcaccaccbaccabaacbbaaabccabbacbcbcbaabcbbaaccbbbacccbbccacabaaabaacbcaccabbcbbbccabccbbcbbcabccacbbcccbaaaccbbbbabcbccaabaabbcabbcbacaaaababaccacacbacaaccbaacbbacacabbaaabbbcbabcaaabacbabacacacbccbbacbbccbabbccbcbcaabbbacbbcbacaaabcbcbabbcbcbcbbabaccbaaaacbacbbbbccacabbaabcabaccabcabcabccabaaccbbbabbbccaacbbabbbccccbbacbcbababbcaccbccacaaacbabaabbbbbcbabcabbacbbccaaaaabcccbacbbaccbaaacbcccaacaabcbcbbcaaabbcbcbcbcbccabbbbcaccabcbaccaaaaacccbbabbbabaaabbabcbaaccacbaaaabacabcaaabbaaccccbcbacccabbbccbababcacbccbabaabbcbabacccabcababbcccbbcbbcbbcbcbccccacacabcbacbbaabaccaaccbaacbbcbacbababbbcacbbccbcccbacaaaccabccbacbaacaabccbbccbbabacccbcccbccbbacacababcbcaaabcacabababbabacaabbcbcbbccabaacaccbbbbcbbbbccbaccbbaabcaccbbabbbcbbaaacabcccbbbacbaccccbcbbaacabaccbcacbccbbbcbababaaccccaaaacaccaccacccbabbcbcccababbbaaacaabacaabcbcbccbbaacabaabcbcbccbcbcbcbbacbcbccacabcaccaababcabcbababbbbbbabccbaaccbcbaccabbabbabcbacaccacacabacbacacabaccbabacbcbccbbcaacbacbccbcbcccbacaaacbbaabccaaaccbbcccaacaabaacacccabcbbabacacacacbbbcabbaacabbcaaaacccbbaabcbcbbcacccbbcbcacacccaccabbccbcbacbcbcbbbcbccbcabcccacbcbabbbbaaccccbbbcbccbcbbccacaaababcaaaaaccacabbbbcbbbbbbccbaaacacbbbaababbbbabacabcabccbcbaaabbcaccbabcabbbccccccccbbcbbbacbcbccbcbacbccbabaccbbacbaacacababcbccccacbabacbcaabbabcabcaacbcbcbbccccbaabacaacabaacbccbabccccccbacbcabbccacbcaabbccbbbcbcaaccbcaccccbcbbabacbaaaabcbaaaccbbbacbabbcabacccbbbabacbccbabbbbbbabaaaccbcbbaacacbaabacbcacacaabbacbcbcbcbbacbabcaaaaccbaaaabcccccacabcaacbabbcaabcbcbbbcaacbcbacaaabbaccababaccccbccacbabbbcacababbccbccaabaccccaaccbabbbaacbccbcabbccbaabacccabcbbabbbaabcbaaaabbbbbccbacabbbacbbcbbcbbbcaccbcabcbababcbcbaaacbcabccacbbbcbcbcbbbabcbbaabacaacbbcbaaaccbacabccbacbbbacaccbccabbaacccabbbabaacbbccaccbbababcaccaccabbccacccbbcbcccbbbbbcbabbbacabaacbcaaacacbacbbabbcaacacbbaabcbbabccbcbaacbababcaabcbbaabccacacbcababbcbbacabbaaccabcaaaccacababcbbababbccbbacaccabcbbcacacbacbabbaccbaccabbaaacbcaccaacccbbcacccacbbbbccaacaabbaacabcbbaacbbacbaaaccacabbcbaaccacccaabcccbaaccbabccccacbcbcabcaaaabbbccbcaaabcbbccccacabaaaaaaccbbbbacbcccbcbaacbbaacccabacabaacacaccacaccabbbacabbcbbcbbcaaabbacacbbabbaaabcabbbabbcaabccacacaaaabcbabbcaacccbbabbaaabaababcabbccaacabbbbaccababbcaabcaaacabcbabcccbcbcaabbaccbacacaabcabacaacaabcbccbbcbbccbbcbaccaabbaccbabbaaabcbabaacbacaabbacabcabccababbaaabbaccaacabaabccabacbcccabbacbbcbbcbbbbcbbbaacabacccabbaaabbabbcbaccbaabcaacababcccabcbcbbaabbabcbbabbccbabacbacaccabaaaaabaaabbbababcaacbabaccbccbabbbbaccabaabbcaccbcabbcbabbbcccbabbcbbcabcbcccbbaccbbcaccaaabbbbbbccbcbbcbccbbccccbcbabbbcabaabacaacbbbbaaaaccbacccbbaaabcacbacbcbbbcaccccacababacbabacbbbcbabbacbaaccbacabcccabbabcaabacccaabcbcbcbcbccaaccbcacbcababbacbbbccbacccbbcccaabbbbbacbbaaacaaaabcabcbcbaaaaaabcbabcabacaabccbacbcacbbabbbbbbcacaabbbabccabcbaabcbabacaaabaacacababaccbacabcaccbbacbcbaccabbcaacabbcbbbbccbbcacacbbccbcaabbaaccbcbcbcaacaaacaacaaacacbcccbbcbcbcacccbbcbaccaababbccacbacbacbcbaaabbcbbccbaabaaccbcbabaaaccacacacaabcabbbbbbcccabbbbaaacacbacccbcaccbacaaacabbcacccbabcbbbbcaaaabaaaccbbbcbcbbabababaabbbcabaacbabababbbbcabbcbbcccabbcacababcacbabccabcbabbbbbbaacabcabaabaaabcbababbccbccbbbabbabcaabccbaacabbabcacbabbcbbccacaccacabacccacbaaaacbbccabbcbbbaabbacccbcbcaacbaacacacbabaccabbbabbbbabababcbbbbcbcacbaaababbcbbbaaacbaccaabcccbcbacbbcabacabbbbbbcaacbcbaababccbacbcbbcabccbaacaacccbacbaabaccaabcacacbcacbcabbccbabaccbccbbcaacccbacaabbcbbacbccbaaccacbabbccaccbccabcbcccaacbaaccbacbaaaacbcbabbcaabaabbbccccbaccbaacccbbccbbacaaabaaccaacccbbbbaabbabbaccabcbbcaacccacaaacbabaabbaccbcbbbbbaabacccaabacccbaabcbcbacabacbcaabcacccbbcbbcacbaacaccbacbcaacabbaabccbaaaababbbccabccbacbcaacccbbacbaaababcacababbbbcbbcaabbaabcbcaacabcbbbccbbacaabbacbababbbbcbbbbbcbbaccabaabacaccbbacacbacbcaacabaccbcbcbcaacccaaacbcabcbbbbcbbaccabcbcbabbbabbbccbbacbbaaacacabaaaacbbbcbcabcaabccaacacbbbacbbcbcbbcbbbaccccccbbcbabcbbaaccbbbbaccbbbbabbbcbbaccbbaaacbbaaabccaccabbabaaccacccabccaabbbbcabacbcabccabbababbccacaaccbacbaaccbcccbacbacacacabbbcbcbccbbcabbcbccbcaabbbcbccaacbcacbabcaacacbbabcbcbbbccbbcbbabbabaabbbbbaaaabcbbccbbccbbccbbbacbbacabccbbcccccccabbbbcaabbacaaaccacbabbaacaccbabccbbabccacbcbbbaababbcaacaabacccbabababccbabbaabbaaababcacbbcbaabbaabcccbccabcabcacaccbccbabaabaccccbbccbcbbcbcccacbaccaaabbcaccbaabcbbbcbbbcbaacaabacabccbaccbcbaabbcaacacbaaacccbbcccacaababcbbcccbccbaaabaaaacbbcbcbbccbbcababbbbbaacbacaaabbcbbbabccccacbbccbaaccaaccabbaabcbcccccacbabcabbacaaaaabacbbbbbaaabcaabbacbaccbbbcababbcccaacabcbcbbbbcacacacbbbabbaaaaaaccaabacbbbacbbcaccbbcbcabcabbaaaaaabaaabbacbbaacabcaccabaaacccbacabbccbccbabaabaccbbcaabaaaaacaabcbaaaacaaccaacacbcccbccbbbbcbcbbccbaccacbcbbbbbabaaabccababaaaccbabbbcabbcccbabbaaaaccaacabbbababbcbcacbabcbacbbbbbcacccaabacbaccaabaaaccbccbbaabaaccbccabbbacbcacacbcbcaccbccacbccccabacbbacaaccbaccbcaccaababababcbbbcbacbbaccaaabbcacaaaabccbaaababcbcbcbcccbccbbaacbacbcbacaacacbcaccbbacaaccbbbcccaaabaaabaacaaabcbcaccbaaacbacabacbbacaccbbbcbabbcabbbaabcabcacbaacbabaaaccbcaaacbbacbbbcabababacabaccbcacaabacbbabcaacbacbbcacabcababccbabccbcbaabcbabaccbcccbcacbccabaabbaacbaccacbbabbaccbccbbcbcacbcbaccbacaabaacaaabaabcabbcaaabccbacababababbcaaaacaacacbabcbbcbbcabbcbcabacabcccabcabcaaacccbbbabccacbabcababaabccbbcbaabcbccabcccabcbbcacacabacacbccaaacbcababbbcbaaaacaaababccbccbcbcbcbaaabccababbacabcbbaacabcaabaabbabacbabbcccbabbbbbbbccaabaababccbbbbaaacacbacccbcaabacabacacababcbcaaabbcabbbaaccacbbbaccaccacbcaabbccacccacacabaacaccabbacccccacacccbaacacaabcbcbaaccaccbccbcbabcaaaaabcbbcaaaabaabbcbabcbbaccbbababaaccccbaacaccaababbcbbbaabbcabcbcabbaabcaabcabcaccbaaacabcbcacbcaacccabcbccaaabcabbcaacaaaabcbcabbcbbabcbacabbabccabaabbacbacbacccaabcbcbabacacccbcbbcbaabcaabbcbbabbcbccbbcbabcacaacabbbcacbccaccaccccaaabcbccccaaababbbacacaacbbacbccccbbacaabcaabcbbcabbbbaccbcbbcabcacbaababaaababbcabbcaabbaaaacaccaaaaccacccbbbbbcbbbacccccaabbcabcbaccbcbacaacbabbababbaaabccbabbbacbccaabccbacbcacbaabccaaaccbaccaacaaaabacabbaaaabbcccbccccaabbabcacbcabbbabbcbaccbcaabccabaaaabbccbbacacabbabbcacbacbcbcccccaabbbaacacbcbbaacacbabaaccbcabaaccbcacbbaaaaacbcbbbccbababccccbcbabbbbaaacabcbcbabcabaaaaabbcabbaabcaaababbbaabcccaabbbcaccaaacccbbacacbbacbccabacccaaacaaaabbaccabcabcbcaabbbcbbacbabbbbabcbaaccbbabacacbabbcabbbcaacbcaabccbbcbbabbaacbabacacaabaabcbacccbaaaaaabcaaabcabccaaaabcaacbcabaababcbacabbababbaacccabcacacacbacacaacbccaaacaabacacbbaaaaacbcbcbacbcaaabbccbabaacbcbccbccbabbccaccbccbbbcbcbbaaacccbccbaaacbabcbcbcababccabbcacbbacaacaccbabccacacacbbbcbcccbccaaaabcaabbbcaacabcbacabcbaabbabccbabaaaacbaacaacbbabbaacbacccabbaacabacaaccccaaaccaccbbbaaacbaccabbbbaababbbbbbcbccbaabbbbaaaaacaacbcbacacbbbbcbaccbbbababccbbcbccaccbabababcbcbbccaabacaccccccbacbbcacbcbabccbbbaaaaccaabaabccbbbaccacbbcbbcabaabacccbacbbcbcccaaaaacbcbabbbabcbbbcbbacacbabbbcccaacccabbaaabbacbbcbcccaccabbccbaccbbcbbabcabccbbbacbacacbbbacbbcbcabbcabaaaaabcbcbccaabcbabcababbacaaabbbaccccbbcabcbabaabcaacbccccbccbaacccbbaacacacacabbbbacaaaababaabaaaccbcbcbaaaacbbabbccaccccacacbaaaaaaccbcbbacaabccaabbbbacbbabcbacbcacbccabbacbcbbbcbaaaabbcbbaabbacbabacaaababcccacbabacbcccbcaccacbacbbbabaabaabcacbabcbcbbacaacaaccbaaaabbcccccabbaaacacbcacaaaaabbacaabcacbcabbbababccaabcbbbcbacccbcbcbbbcbabbcaaaacaaabccbbbbaccbaaabbaabbbabbbbabaacaaacaaabbcbbbaaacbcabcccccbbbccbbbcccbbacbbccbcbabbccabcbaaabababccbcbacccbbbcaabccbaacbbbbcbbaabccaaacbcbacbbbbabaacbabaabaccbcbbbbacbabccabbcaabaababacbabacbcbccbaccbacbabccbbabbaacccbaaaabaabbbacabcccaacabcaacbacbcacbcbbcabcabcabbbbababaaacbcbcaabacaacacabcbccbbcccabccccaccbcbcbcaacccaaccccaaccabacbaaaacabcaaaaaccbcbacbbbacacbbbcabbacaacaccabacaabcccaacbcabcbbcccacccbcacbbccbabcaaaaabbccacbcbccbcbbcbccabbccccbbcabcacbcaaaabbcacccbcbabaccbbcccaaacbcbbbbcbbacabcbbbcbcbcaacbaccacacaaaaaabacbbbaacbaacbcaaccbbacbbacabcbabbabbaabcaabaaacbcbabcabbcaaccbbccaabbababbccbabbacaababcababbccbbbcbacaacabcacaccacccabaacbaabaabaabbbbccccbabcbccbbaaaacccbcaabcbbaaabaaccaacaacccbbcacccbcbaacbbbaccbcbaabbcababcabcbbcabcabcabcabccbcaaacbbaabcabaabcbbcbbcbbbbccababcabbbabcaaacbcabcbacabaacaaaabbccccabcbbacccacaababcbbacaabcabbccabbaaacbaccccacacbacbcbbbbbbbaabacaccaaaababbcccabaabaaccaaacbcbbbaccbcccabcaaabcbcacacbccbbbaaabcbccaabababbbbcbacbababaaccababaabcccbaccaaaabaabaaacabacacbbabaabccacaabcabcccacbcccbacbaabccacbacbcabaabbbcabaababcacccbbabcaaacccbbbbccabbcabcbabababbbcbcbbccacbaaacacbacaaacababbabbbabccaccacbbbacababbbabbbccabacbcacacacbaacaacabaaccbccbacccabcaaaccabcacccacbbacbbcbcbccbcabcabababbbcbbccacaabacaabcabcbacbabccbabbcabcacbcacbabcabcbbbabbaabbaaaabbbbcaacbaabccacbabaccbbcbbabcbccbaabbcacaaccabbcbacbacabcbabcaccaacabccaabccacaabcbcacccbcbbcacaaaccacbaabbcbbaaccbbaacbbcbcccbcbbbacbcabbcabccaabaabbacbbcccbaacccacaaacaabaaaaaabbcacbcbababbcccbacacbbccabbccaabcaaccbbbbcbabccccabccaccbcacbcaabcababbcbabbbabcabcbcccccaccaaabcaabaaaabaabbbcaccaabaaaabcacbcabbbbacaabaacababbccabcabbccabaaaacbabcaaabccbabccbccbaaababcccbabacbcabbcbcbcaccbbaacbbbbaacacbaaaaabbbccacbbabbbbccaacccbabbbbcacbbacbbcbcaaaaaababcaccbccaaabbbcccbaccbaaccbcacaababbcccccbbbcbaaacabccbacbacbaacbbccaccaaccbcbbaaccabcbcacacbbbbaabcaaaacbbcbbcccabaabcaacbccbbcabcccacbbbcbaacbacccaaacbbabcaabbcbcbcacbcbcccaaabbabbcaccababbaaccbbbccacbbbaccbacacbccbcbcacabbabcbbaaaaaacaaccabcacaabbacbbacacaababcccaaaabcccacacabaaaacaccbcacaaabbcabcbcababccbbccacbccbabbccaacabaabccacacbabbabbccaacbacaccabbcaabcbccbabaaaccbbcabbbcaabcbccabcaabcaccbcaaabcbabbaabcaaaabaaacacccbaacccbacaabcbbaaaaacbbcbccbacabaababbcbbbacbcabacabaaabacbabcbcacbcababcbbcbbccaabbbacbbcabcabaccbcaaababccababaaaabbbbbbbaccacbaacaacbbaccbaabcbaabbbcccbcaccaabcaaababbabbccacbaabacbaabaacbbaabaabcbcbcabcacbbacabcabaaacbabbcbcbcacabbbbbbcaacaabbabbcaacbbbaabbababcccbcbbacbaaabcacabacbbacccaacbcbcaabbaacbbcbacbcacababaaabbaacbacaaccaacaacaaacabccbabcbccccabccaacccabcacbacbacacabcbaabcacacabccabaaabcbbaccbabaccaccababbcccbcaaaabbbcbbabbaccbcabcabbccccabbacbbacbcbccbbcccababbaababcbcbcbacababbbcbccbcacbcaacbbbaacbaaaaabbacabbbbbbcbbacbacacacabaabcabaabcabbabbaccaccbbabaababbbabaabaaaaccbbcbcbbbcbcbcabbcbaacccaaacbbccbcaaacbbcccbcbccbcbcaccbbccbabbacabacbaccbbccaabbcacacaababcababbcbaabacbaacacaabaabaabbcbbcabacbabacbacaacbaacaaacaccbbcacbabcbbcbabbabccaaacabbabbbcbbbaabbcbcbcbaaababcbacaacaaacaaabccaccaabccbaccaacbbccbaacbcababacababbbababcbaaaabbcabccaacbabaaccccbaabcbbcaaaacccbcbabaaccbbbccbacbbacabaaaccbccbcbbbbabbbcabbcaaabcbcaacaacaccaaabcbacabcbaaabccbacaababcabbcbacbbabacacbacbcbbcacaaaaacccbccbbcbabaaccbabcabacaaaccbcbbccacabbbbaacabcabbbaccccbabacbcacbcabccacaacbbbbcaaaaacbacccbababccacacaaaccbccbcabbaabaabbcbbaccbabbbabccaaccbabcbcbbcbabacbbaabbcaaccabaaccabaccbabbbbaccaabbacabbaaacabbcaabcccabcbcaaacbccccbcbaaabcacbacacabccabacbccbbababacccacbccbbabcbcaabccbccaaabcbabbccaacaacbbcbbbccaabbcbbbbcaaabbacbcbaacbbbaccabccbbccbcbccaccacbacbcaaacbbcabcbbacbaaccaacccabbccaabababbaababbaaccaccacbbcbaaabbccaacbbacbbccbaccccbaabaaacacabaabbabbbbcbaaccbbbabbbaabbccabccacabacaabbbbaabbaccaaaaabbcacbababbcabaaacaccbcbccccccbabaacabbaccbcaaabbabcccaacabcccaabaabbcaacaacbbababacbccccabaacaccbaaaaacccaccaaabacabbacbcbcacbacbacaacbccccaccabbbcabaacaabbaccbcbccbabbcccabaccbaacbbccabbcacaccbacacbacbacbccaaabcaccabccabacabcacaccbbacabaaccaabbbbbcccbaabbacbcaccabbcaaccccababbcbaabbaaabbacaacacaacbabbbabcacbaaaccbbcbcabbabcbbbbacccbababbaabbcaaaaccabaabccbcbbbabacabbbacaacababbaabcaccacaaaababcaaaabacbcbbabbaacbabcababbabaababccbabcaacabbacacccbbbcccbacbccbccaabcbbcaaaccbbbcbcaaabaababbbacbbcbcbbaaaaaaaabaccababacabacbcacabbbbbabaaaacbaabbabaacabccbccaabcccbbacbaaacccaaccabaccbbbcbbbbcbbbcaacccabbbbbabcbcccbacbcbcccacccbccccbaabccbaacabcbbbcabcabbacbabacacacbaaaabbabaabbaaaabcbbcababbabcacaaaccccccbaaacbbbcaccbbaaababaccacbcbaacbbcbbabbaabccbaababaabbbcbcccbabaccccabacbaaccccabccacbcbbbbbaaabcaaaaabacccbbcaccababaabacbbcccccaacbccbbbbbbcacbacabcababccabbcbacbcaabcbcccababccbcacaabcbacbbcbacaabbaacabcabcbbcacbbaacbcabaaaacccaabbabbbbababbabcababacaacbbbabbbccaababbabbcacbaacbaccbaaaaaabbacabcaaacbaacccccaabbbaaccaacbacccaacbbbabcccbabcabbbbacaaabbbbbbbbcabaabcabaaabcbbaccbbccabcbbcaaabccaabacbbabcbacbaaaababcabccaccabccacaccaacaacbbcbabccbcbabababcabbabcaaaccaccabbabaabcaabbbbbcbcbbacccaacbcbbabacabcbcbcaccbbabcbbbccccbccaccbaaaaaacacaabacabcbccabcabcbaacbabbcccbabbcbacbaacbbcbabacccacccccbaaccbacccbbbbbaacaabbaaabacacbcbbacaabaaccbbabaccbbbbbbccbbbcabbbabaacbbbccaaabbcbbcbbbaccacccbabcbcacbaccacaaababbcaacababbaabcbbbbcbbacabcaaccbacbbcacbacbbaacccaabbaaaccbbbbacbbabbabccaabaccbccccabacaccaabcccccabcbcaaacbcabacabcaccbcaaacbacababaaacbbaccbcaaaabcccccbaabbaacaabccbbababcbbbbbabaccaaaabcabccbcaaababbcbabbbabaaabcccbcbcaaababcabacabbcaabccbcbacccaaccabcbabbabcccbcbcabccacccabbababaabacbaccacaaccaccabbabacbabacbbbacacbcbbccaaaccbcabbccaaacbbcbbbacabcabcbccccbaacbcccbabcababaccabacbbbbacbcabaabbaabbacabaabbbbacaabcbbbcccbaacbbcbaabccbccbbcabccababacbaabccccbcaaccbabbccbcaaaacbbacbcbabbabcababbbacbaaccbbcccaccbbbcbcbbacbbbacbabcaaacccccaacccbccbacbaccacaccacbacbcacbcbaabaaaabacbbacabcccbaaabbcbacacbcbbacbcbabababbcbbacaaccccbababbacaabbabbabbacccbacacbbbaaaacbcbbcababbbcbcbbabccbcabbbabccabbccccaccccbaccacbaacababbbcbaccacbbaaacbbcabcacaabbaaacbbbaabacacbcbabacbabcbaacaccbcacabbbccbabcacaabaabbccccaaacbaababbccaccbccbbcbbcaaabaccaaccaacabbcbbabbccbcccabacaabccaacccababaacbcccaacababbaaabccaccaaabbaacabccbbbcaacabaaccaaacccaccacacabbacbcaacbccbbaaacacbaaacacccaccbccbbbbabcaccaccaabcbcaabbbbcaabcccbcbaabcbcbbcaaccabbaccacaaacaababacbcabccbbacbaccccaabcbaaaaabbcacbbacbbbaabbcaacccaaabacbcabaabbccabbabaabbabababcacacabbccbbccaaacccacacaabbaccbcabbcbabbaacbbaabcbccaabccccaaacaccbbaccbbcccabaccbaccbbcbbcacbcabbbbacabacbbabcbccabacccccacccccaabbcacbcaccabbcaccaaabbbaccccccaacbcccccbacccaccbbbacbbabacacbccabcbbacccaaacabacccbaaababccbcbabcabcbbaaacbaaaaaacccbaaacbbacabaabbbababcaabcbcabbacccaccacabcbacabcaccccaaabbbcacbbabcccababccbbcbbabbcccbbbaacbcaacccbcccabbcbbaccbbbbabaacbcacbcbbaccbbacbaabaccababaccacaacaaabacaaaccbcccbccbcaaacbcbaabaacccccbcbabcaaacacbccacbbacacaacbbcaabccbbbcccbabaabaaaacbcccbabbcbaaabbcbacbccccccbaaccbabccacacbccbacbcabcabacacbbbaaaaccbcccccbacaccbcbbbabaaaabbabaaccbbbbcbcbaabccabacbcbaaccbbbaaaabbaacbabcbbaacaabacccaaaabaaaacababbabcbcbbaacbbbcabbaabbcccabaccbccabbbccabbbaabacbacabbbcbcbbbcabbcbccaabbacbbaaacbccaabbabacccaccbcbacbccacacbbaaabcaacbcbccabbabccabbccabbbaacbababccccbacbabbaabcabcacbcabbaabcaccacbacaaaabbcbcabccaabacabaccbcabcbcbabbaaaacabaacabccaccababbacbabbcbaabbcbabbcabaaabcababcbcccbbbcababcbbaababcabaacaacaaaabacacbbbcaacacaaccabbbbbccacccbcbccaccaaccccccaacaabbaabaacbababbbbcbcabaaccababbccbbbacbcacccbcbacbccccbccabbaccacaabcaacccaacbacccbcccccababbcccbbbacbcaacbcaacbbbbccacccaabbbbcbababbbaaabcbcccbcbccbbaabcbaacacbabaaaaacaccacababaaabbacacbcbababcaacacabbaaaaaabccbaccccccaccabcabbacbbacaccabbbacacaccbcacacaabaacacbbbacabbaabbcbaacbacbaccbbacbbbababccccbbcacabaaaccbabaabacccbcbbacbcaabbbbcacbbacbbaaacccaaccbcabacbcccaabaacacccbcacaccbbbbbaaccaccbabccabcacbcbccacacccbacbbaabccbcabaacbbcbcaababcabcbbcbbabaacbbbccaacabcabacbcbccaaacacabaabcccaabaabacccbbaaaacccaccbbcbbabccabbbaacbcbccccacbcbbbccbbcacbcbbbccbbcababaaaccacacbaccbcaacaaaccbbaaaaacaccbaabcbaacbccbcabbbacaaacacbbccbbcacbaccabbbabaacabbcabaabbaaccbaaabacbbcbcccabcaccbbabcaccaabbbabacacbbabababbbaabacaaabccbbcabbabbcaaaababbccabbbbbacbccbbcaaabbabcbbcbaccacbcbabaababcbcabbabccacbbbcacaabbcbbabbababcbbaccbbcacababcccaabcabbbbcbaabcbcabcccbbcbaacbcbcbcbaabccbaaabbaaaacccbcacbcbbbcbcbabbbcbbacbacaacaaacaacbccccabacbbbaabbcbbabcaabcabccbabbacbbcccbccbccccccabbcabbaacbabccabbabbcabbbcaaaaaccabaabbcacbbccccabacaababbbbccacaabbcabbcccacbabccaccbbbbabaacbbaabbaaabccaccbccccacbcccaaabcabaaaaabccccbacbaccababbbbccccaaacbbabbabbbbaaabcbbcacaaaccbcaaccaccabbbabcacaabccaaaccabcccbbcbcbabccacccbabaaaaaccbbcaabaacbaacbabbaaaaabccbaaacacaaccabcaacacaaabaabcccaccbccbaacbaaaaacbbcabbcbabcaaccbbbcacaaacbbbcaacbbcaacccbbacbabaaaaacacbcbbaaccabccbbacaaccaacbacbbbacabcaacaabcabccaaaabcbcbccaccbbaabcacbcbbbcaabbaacacabccbaccabbcacbcccacaaccccabcbbccbcbabaabaacbcacacbcccbaacabcbbbbcabacacbcaccbccabccaaaccbabcbaaccaccccacaacccbcbcbacbcacbbcbcbaabcaaacaaaacacbaccacaabcbacbacccbacbabbbaaacacbabbabccabcababccbbbabbcaaabbbbbbaccbcbbbbccabcbbabbccabcbbcacbabcbacaccbcaaaaacbbcaccacbcbaabbccbcabbbaaacccababbcaabaccacccbcbccbcbbaaacaccacacabccabaccbcacacaaaaccaabccbaccccabccababbcaaaaaaababcbbccababccaaaacabaabcbcbcacbbababbbbcaabcbaaccaaabacaaacacabcbbabbacaacbcaabcbbbbbaaabbbabcabcbbababaaaccbcbbbccaaccccbabcbbbcaaababccacabcbaacbbacaaabbcababbcbccbbaaccaccabbbcbbccbcbaaabbacaccacbcabcbabbabcccccaaccbcbaaaabcbbbbbcabbbcbccaacaaaabaaaababccccacaabbbcacbabcabaabbbaaabbcccbaacbccabacacbaaabcccaccbaabcbbbbbbcbcabacaccccccbbccbbbcaaacbaccbababbbbababcccaabacbbbbccabbcaacaaacacaaaacacbccccacacabcababbacccbcbaacbabbacabcabbbcbbcbacaaaaccacacbaabbcaaccaabccaccabcabacbacbaaaccaacccbbaaccbbcaaabcbcabacacccabaacbbccbcbcbcbbbccaacababbcbcbccababcccbacacbaacaaacabaccbcabbcccbbaccccabbccacbbbbcbbaabccbbacbaaccacbcbabcbccccbbbbccbbacbcbacbcbabbcbabaabcbacbbbbbccbccabccabcaaccbccabbbbbbcbbbabcbaababbacccbbcccbbcaccbbbccabcaccacbccbaaaabaccacccabbbbacccabbcbaaccacacbcacaaaaacabacacacaccccbcbababbcacabcacbabccbcccbaababcbcbbacbcccbcacbbbbbbaccbaacbbbcbcaccbcbcbbcbbaaccacaabbbabaabbbcacbcabcabbacbbccccaccaabbbbbcbaabccbaacabbcbaacbbaabbccabbaccbacabbaccbbaabccbcbcccabababbcbabbbccbbcacaaaabccbabbcbabaabcbcaccabcabaaabcacbaabbcccccaacccbabaccbcbaabbbcbbbaacbcaaacbbaabcabaacbaacbbabccaccbabbabccbcbbbbabbacabcabbbcbcbbcbbaccbaabcaccaacccbccbcbaabbbbaaacaabcbcaacbcbbbaacbcbbabbabaaacaccaccbabcbbaabaabccbcbbaacbbbababccacbbcbcaacbbcaccabbabbcbbccabcbacbbbcbcccaabacccbaacbbcbbcacbbaacacbbbccaacbbaabaaaacbcbcaacabcaabbaacababcaabbcccccaacccbbaccabcbccaaccbccbacbacbaccabacbacccbbcabcbacbaaccabcbbbbbaccbaaaabaaabaccbcbbacbabcacbcbabcacbabaaabaccacaabbcccaaabcbcaabbababbababbcbbacbcaaccbcabcbbbacacbbbabbacbaacaabaabbbcbcacabbccacbaabaacbccabcbbabbcaccaccacacacacccaaabacccaccabcbcbbcacabaaabbbcccacbbababaabbbabacbbcabcccacccbbaabaccbacbacccacbbabbcbbaacccbcccbccbcccabbaccccbabacbacbcabbcbababcacacbcbbbccabaacccabaacccccbaaabaccacbcbabccacacabbcacabccabcacbccacbcbcabacaccabacacbbacaacaaaccabcaabacbcbaabacbbbcccacbccbccabbcbbaaaccacbcccacbcccabacbbacabbccbbccabcbaacaabaacbbbcabababaaabcaabccbaacbaacaccaaaabcbccbaaabbbaaaabbabbacabcbacbbbccaccabbcccabbcaaabaccbcbabcbcbbcbbccbbcaabacaccbbcbcbcccbbbacccabaccccbccccbaccabcbabbbbaaaabcbabcbaaaccbabcbcbbcbacacacbcabcccbbaabaabaccababcacbcabacbbbbbaababcababcbbccbabacaacccbbccacbbaaaababbcbacbcaaabcaabcccbaaaccaaacabacbcaacbbbabccaccbcabaacbaabaaaabcaacccbaaccaccbabcacccabbbaabacbbaabbaacccccaabbccacabaccabcaaccbacababbbbabacbcaabacabcbcabbabcbbaaabbaaccabcacacabaabcaccbbaabcccacabccbccccababcacabaabacacaaaabbccbacabcbcbcabbcaabababcbcabcbacbbcabccccaaacaccccacccbccabbabbabababaaccabcbcacbabaaabaabbcbcaabcccbaccacacbbbbccbabababaabbbbcbaccabcacbaacbccaabcabbaabbacacbbbccccaacbbbccbbabcabcbcaaccccababbaacbbccacaabaabbbccbbcaabbbbabaccccbbbbcccbbabaaacababcbabbbccabaacbbbccaaaaaabacccbacccababccbacbcaabcbcacacacccbbabcbcbcbbacbabcbbbcbcbaabcabbbcbcaabaacbccabbbaaccaaaabbccbcccbcababaabcbcbaaaacbbccaaccbaccbababcbcabbccccaabaccccbcbcaaabcabbbbbbaccabbaccaccabcabbcabacabaaaccbcbcababbbabcbbccbaaabacabcbbccbccbaabbcacbaacaacbcbaabbcabbbbcacacccbaacaccabaaaacacbaacbaaabbaabacacbbbbbaabaacbcbcabccaacabaaabbaabccacaaabbcabbcccbababccbaccccbaabcbacabccacbbcbaabbbaacbacccabbcababbcaccabbbbabbbabcbacabcaccbcabaabbbbbabcbabccbcabbabcabccacabcbcbbbbaaaacbccccbccbcaabcacbaabcbcbaccaabaacccabaabcaabccbccabacbaabccabaaaaaacbababbbcacabacccccccbccaccaaabcccabbccacabcacabbbcaacaabcccbaacaacbaaabbabcababbbbbcabbccabaccbcabacccccbaccabcaababababbbbcbcabcaabbababbbbbcbaaaacacbbbacbbabacbababcbabccaccbabbbaacbabcccbaccabaaaaacaaacbbbabbabbcccabaaaacaacacaccbacaabbbabacabaaaabcbcacbcaacbaaabbcbacaaccbcbccaacbcbcbbaccbccbbaabccacbaabccbbacbbacaccaccbcccabacacacbccbcbaaacacaaaaaaabbacacbabccbccacbbcccbbbaaacaccccacbbbcaabbaacbaabaccaaaccaabbabbbcaacbcbbaacabcccabaabbaacbabbcacbbcbaabbbbcbaaccaaaccbabaacaacbbccbbbcaacbcbbaaacccabaabcacbabbabacbacababbabbbacccbccbccbbbbbababbbcbbbbbbccbaabaabcbbbcaabbcaacabccbbabbaaaaccacbbacbaacccabcccaacaabcbaacacaaaccbcbcbaabcacbcaccbbcaaaacabacbacaabbcbacbccccaaababcaccacaacabbacaabcaaccaccbbcaaacbacbcabccacccbbbabaaaacccbbcabbbbcbaabccbaabacaccbbabbbcbccbaacabccabcababbccacbbbcbcaabaccaaabbbbbccacccababccaaacbaabbbabaabbabbacbaaacabbcccacbcbbaabcccaacbcbbabccabbbccccacaaccbabbccbaacbaccbcbabccaacababbbcccaaabbbaccaaccbaccccccbcbaabbaabcbacabbbacccbaccbaaabababcccbbbbbcacbbabbcbaabccbbcacaaccabcbababbbbbcabbabccaabacabbabcacbbabbabaacbcaccccabbbababaaccbcaabbaaabbcbababcbccaabbaaabbcccaaabacabbcabbabbbabacbbaabacaaabacbacccccccacaabbaaaaacbbcbacbaacabbabcbacbbbcbccabaabacbcbcbbccbbbbcabaccababbbabcabcbabbbccccabbabbcbbccbaaabbabcacabaccbacccacaaababbaabbcabaccccabcaccbcbbacaabaaccacacbacbcbbcbbaaacccbaaaacbccbbbbaaababbbbaacacabbbacbcbaabbbbcccbcaaaccbcbcabbbcccccabcbacbccbacbcabbbcacacbabbcabbaabbabbaccbacbcbcbabbabacabbacbaabbcbcacccabaaaacbcccbabbbccaababcabccbbbbaacbcbbabcbcbccbbbbcaacbccccacbcabbbcbbccbbbccbbbacaccbcbccbcbbabacbbcbcaccaaababaacacabcbccbbcbabbabcabcbbacccbcabbabbbabbbbabaabcbbbcbcaaabaaaabcbbbaacabcacaaabaaacababcbcccccabcbbabcbccaaccbaaaabcbbbcaabbbccbacbcbbccabbccbcccabbccacacbbbbcccccabcbcacbabbbbbcaccbbcabcbcbabbccaababbcababaacabaaaabbcabaccaabacbbbbaccbbbabbbbcbacbaabcaabbbcbcccbaacaaaacaabcbcaaacabacbbbaaccbbabbbbccabbcbaababcacbbcababcccaaababccacbaabaccaccaaaabbcaabcccbbccaabbcbcbcacabcbabbcaababacacccbacabacccbabcbbacabcacaaccbcbbbcbcbccabccccacbcbbcbccbaabbbccacccaacccabcaaaaabbabaaacbbcabacccabbccbbbcaabbbabbbbbbcabacccbbbbbcbbccabcbaaacaacabbaabcaaaccacabcbaaaabbbbbaccbcbbbaabcacacabcbcaaaacaccabbbaacbbbcbacbcacabaabbacccbbcccbbaaaaccaacbbccbababacbabbaabaaacccababbbabcaaababccccbbcbaccacbbccccaabbbbbbccbabbcccaabcabbabaabbbabababbcacaabbccababccccacbcbcaabaabacacbcccbbcbaaabccbcbcbacbccbabccabcabaabbbbcaabbcbabbabcbcaabcbcaccaccaabccbbccccbccccbaabcccccaababacaccbbcacaccbabcaccbccbacaabbbbaccabaaccabccbcbccbaacbccacbcacababccacaabbaccaccabccbacaacbbcbcacababbababaaacccbbcaaccacbbabaaabbcabbbaccacbbccccacaccbaccccaabbcccbcbababbcaaccccacbaaacaacbabbaaaaacacababaaabccccbacbcbcacaabbababcababbccabbaabcbbcbcabaaabbcacbcbbcaacbabaabcacccaaccaacbaccabcbcabbcaacabcbbacbccabbbbcbacbcbabaabcbbabbbcaaabaacaacccccabbcbaabcacacacabaacccbcaacccbbcbbbaccaaaacbaacaccaccbcaccbabbbaaacccbccacaaacacccacaccccabacccabbbbabcaccbacbbccabccaaaaacccbabacccbbcbbacaccbaaacbbbccaaccbaabbaccbaacbccbacabbbbabcbcbbaabbbbabcccbcacbcaccaccccaaacccbbcbbcbbacabcbbbbaabcacbcacccaacaaccaaabaacccbbcbacaacbccbbabccbcabaacaaaabcaacccbbcccbaaaaaacbabbcccbbbbbbbaaabbacbcbbaacbabcbaaaacbababaaacaacaccbaaaccbaaacacbbbccbccbbaaacbcbbaccbbabaaccaabbacbccaacbbcaabbabbcabbabbbccbcbabaaacabcaaccbaacaaabaaacbaccccccbbbccbcbbabaccabbbcccbabcbcbabcacabbcbabaccccaababccbaccacccbccccbccbaabbbcaabcacccaaabcaccccccabcbabbccbcbaabbbcbbcbbaaaaacbbabcacaccabccbaacbbacbcabcbcaabccccacbaacbcbbbcbcaacbbcaaaacaaaabccacbcaaccabcacabaaaccabcbbcacabacabbbbbaabbcccbacaabbccaccbcbabcccccbbababaabaccaaacacacbaccacbaccbbbcbcbacbbccababaaabcbbababcaabbbbcaabaccaabaaacaaacbcbbabcaccaccbbbccabbcccccaabbcbbcccacbbacabbaaacccbbabbccacbccababccacbbbabcababcacbcbacaccbabbcbbaaaaccbcaaabcabbacbbbbabbaaabbaacabcccbacbaccbbbccacacbbabaccaaacaabcbbbbacbbcbacbcbcabcbabbccbabaaacbbabccccabaaaabacababbcabcababbccaccbabbacaababcaabcbaacaacccacbaaacabaacaccabcabbcccbbbbaabaacabcacaaaabaccaaabbcabacbbbbcabbccacacacabbbaacbbbbaaacbaaabbacbbbbbccaaccbbbacbcbcaaaacabcbbaccababbcbcbaabaaacacaaccabbcaaccacbabcacaabaccacccbcbbaccccabbcacbbcbacbbcacabbbbbbaacbcbabacabccbcbaacaabbbacbbcbbbaccacbcbabbaaaaabbaabccaccaabcaacbbacbbacbcbababbcaabaaaccbcbcbbbacaaabbcaaaaaacacacbababcbaabbbbaaabcacbbcaabbbcbabcbabaccabbabacaaabccbcabbbaabbabccbbbccbcbccaacbbacabcaacacbccbbaaaaccacabbabbbbaababcbabcbcacbccccbbbcbaccababacbabbcaabccccabbbaaaabcccccaccbcabcaabbcbbcbbaaaaabababccbacacbcabcabaabcbbaabacaccbaaaccccaaaabcbbbccbbabacbccacccacbaacacaacabccacaaabbbcbaacbacbbaabcbccbabcbcaacccccccbbaacabcbbcacccbaacbbcbaacbbacbbccaabcaccaaacbbcaabbaabbaabbcaaacbcbacbccbcbabcbcaccbabbbcaaacababbbabccbcbccccccacacaacbbccacaaabaabbcbabbbccaccccaccabbcaaccbbbacbccaccaaccbcabbacabaabbcbcaccbacbccacabcaccacccacbcbbbcaacaabacbccbcabbcbbbbbccaaccabcccccacbbbcacacbabaabcaabbbcbaaaccbaccaccaabaccbaabbbaacbcbcacbbababababccabbaaacabcbaaabcccacccbbbbbbaccaacbcabbcbabcaaacccccacbbcbcbccbbcbacabbabcccababaababccabbabccaccaccaaaccaaaacaabaacccabbaaaabbacacacaabacabbcbbbbabbbbaacaaaacaaabcabbabcbabacbabbabccabbaaccabbbacbccabbacacccbaaccbcabbacaacacbcacacabacbcbabacababaabbcacacabccccbcbacbccbcbbaacbcbabbabbbabbabcaaaaabcbcaabbbbcaaabacccbcaabbaccbbcacbabbbcccbaccacbbaaababaabcaccabaaaabbaabbbbacbabbaaabcbbaabacccccabbbacabbabacbacaabbbcbbcabccbbbabacaacacabcbbacabaccbbbcacbcbabbbcbcbbcababbbcacabcbbaccacabbcccbcbccacbccaabbacbabcccaaabaacbbcacaabbbcabccacbcacbbbcaccbbccaaaccbababccbbbabbcaaaabbacacbabbccaaabaabbcacabbbacbbbaabaabcbcbbbacbcacabbbccbacaacbbcabccbccbbaccbbbaacaccacababaabbcbbccbacbcacbababbcbcaaabcabaaabaaaabcbccbacbccacababcababbacbaaaaccaaaacabcccbccabbacaabaaacacabcbbbccaccacabbccabbcacaacababbbaccccabccaacbaabbcaccbacacbaacaabcccbcaccbbcbcbbbcabcccbabccbbbccccbcabaacccccccbbbaaacbabcbbbaaabcabbcabcaaaaacaabcaabbbcacbbbbaaaccabcbccaaaabbcbaacbbacacbccbcbbaaccbabbcbbcabbcbabbaccbcaabaaabaccaaccbccabacbcabbabbcabbacccabcbbcbbcabbcccabbbcacaabccbbcaabcbabacacaccacccaaccbbccacacbccbcbabccabbaccbacbcacaccbcbbbabbabaabacbbcacaabaabcaacbbbacbbabaacaccbbbaaacabbacccabcccaaabcbbaacbcbccabacbbcaacbaccacccaacacbbcbbcbbbcccbacccaabbbcbababaabccccabacabbcbaacbbccacabbcaabbbbbabbaabbbccbbcbbababbbbabbabaccbaabbcccaaacbaaccababcccbcaabaccabcaccccbbbcaaccbbcbaccaaababbbbbbbbbcbacaccacabaaababcacbaacbcbccccbacbbcacaccbaabcbbbcaaaabbccbccbbcbbabcbaabccccaacbaccbcaccabccbccbbaccbacbbcabaccccccacacacbaaaccbcbcacbcaccbabbcaacaacbcbcabaacbaccccababcccacbbabccbcbcccacbbcaaaacccccbacccbcbcbabbacbccaaaccccbccccbcbacaccbbbbcbcbacbaaccaababcacccbcaccbaaabaacbabcccaaacabcaaacaabaaabbbbcccabcbcbaacabaabcabcaabbbaaabcababbccbaacbbacbaaacbcabcbabccccbabbaaaabaabbabbacbabcacbbbbaaaabbbaacacbaacbcbcbacabbccaabbcbbcababaaaabbabbacaaabbcaaccacbabccacaacccbccaaaabaabcaccbcbccbccbabacaccbacacbaaabcaabbcccabccabcbcacabcbbcccccccbcbbabcacbbbcbccaccbabcabcbaccaccbabcbccccaaacbabbabaacbbbbbcaccbcabbccabbcabccbbbbcaccccabaababbabbcabacbbbcaacccccbcaabccbababacacbaccaaaaccabccaaaabacbbccccbaacbccbaacbaccbcbababacabbaccbcabcacccbcccccbbbbcaaaabccbabbcaccbccbbcbcbbbbcaaabababbabacacbbbaaccbbabbbbbacaacababaacbbbbabccaccaaacccccbabbabcccbcbcccbcbbcbcaaaacccbbababccabcbaccbaccbbaaabaccccbbcaacabcaccaaabccbbcabccabbbbcaabcaaabcabccbccbcacabcaacaacaaabacaaacbcacbccabbababbcbabbaacbbacaacaaabbabaacbcababbbcabcbcbaababaaccbccabbccacbacbaccacaabbbcbccacbaaaaababacbcabcabbccabccaaabcbbabaacacbbbcccaabaacabccacbcaabcacabbaaccbbaacbababbaccbacccabccbaccbccccaaabbabaaccbccabcbccbabbaabbbbabaabbabaacbbbabcbbcbcbbaaaabccabbbaccbcccbbbbbbbabbaccccaabacbbaabcbcbcbcbabbabacacbccaabcbbcbaabbacbacbccbbcccccabcabbbbbbcbcaccaccbbbbabcbbaaccccaacabaabaccbbccbbccbaacacbcbbcbbbcaacabccaacabcaaccacbcaacbaabaabbaacbbbccabccbbbbbbbccacbaaabcbcbcbbaccacaaacbcbccaacaccbbbbbcaacabaababcaacbccacccbabcacbccacabbbaabbccacaaccbbaabbccccacbccaaaccabbcbacbcbcaabbacaabcbbabccbcccaabcbccaaccababababcabaaaaaacccbbaacabbcaaabacaccacbabcbcabbabbababbbaaabaabaacaccccaabacccbbbcaaacccccaabcbaacbcabbaacaccbaabbbabaaaccbbcbccacaacbbcccaabcbaababbacbcbcbbcbccbccacbabccaaccacaabccaabcabbbabbccaaaaccbcaccbcaccacbbcaaccccbccbcbbaaabbabccbabbaaaaccaabcbccbbabbaaaabbccbabcbcaababaccbbaacbacabbbcbcbcacabacacccccabccbbcbabccbabbbacbabacabccbcbaccbabaabbaacabaabbaabcbaaccaabcccbccbccbacabcbccaccccbbbabcacabbbababbabccaabcacabcacaabaacbbcbabbaabcccbccabacabbcabbbacbbccaabbabbbcacbbaccabbccaccaaacbbaaababcccaaabcbbcabaccaccbabbaccacccbcbcbaaacacbbbaaaccccbcaabaabaacbacabaaccbccccbcbcbabaccacbccabcabbcbbbbbbabcaaacbbcbbaccabcbacccacaacbbcbacabcababbcaaaabbbcbaabaaaacbbcaccaababbababccbbcabccaabbacbcbaaaaacbbccbbbabaacabbbcccaaabcccccbcabaaaabbcbbabacaaaacacabacabacccbbcbbbbccbccbabbbcbbcbabcbcacbaabcabababccbacbbbacaacaabbaaccaacbbccbaabcbcbbaaabbaabbabccbcbabbbaaacccccacbbcabcbcbcacaccacacccacccbacabacbcbbbaaabcbccacbaaabbbcaccccbababaaccabaabcacbbccbcaacabcaaaababcbcbacbacacabcbabbccacbbacccbbabcbbcacbacaaaacbccacaabbbababbcccacacabbabcccbccbcbacababbbaacccaaabcbbaaabbbaccbbbabcccbcbabbcbcbacbcaaaabaabbccbbcaacbabbcccabacabaacbabccaccaabbaccabbaaaacabbbabcbacbcacbabcacacccbbaababbcabbbbbbacbabbbaaababacaacaacbcabcbacbbccbccbcbcabcbccaabbccabaaacbccbcabccaabcabbbcbacabccbcbabbcbabacbaababacccbacacbbcacbaacbabbaacacaccbacccccbcccbaccaabbbaaaacabaabbaaababbacabbbcbababbabcbcbcbabbaaaaacbabcccbcbbaaacacaaacbaabccbccbaaaaaacbccaccbababbbbacbaabbacabbbbbbaabacbbaccacaaabacaccbbbccaccacbabaabbbbaabbabbbababccaacaabcccbbbbcacaccbbaabbabbabbaaaabcbacaaccbabaaacaaccacabccccbaabcbcbcbbbabbabaabcbaccbbabbacccbaaaccbbbbabbbcbbbcabcacaacbcccbaccccbbbbcacbbcaccbcbbbbbbbcbabbbabcabcabcbaabaccaacbbcbaccbcacbcacaabbacbcccaaccbacbbcbccccabbbbcbbaccacccaaacabccaaacacbcaaccbcababbcccbabbcbbcbccbcabaccaaaabcbaaacaabaccbbbbacacbaccbababcbbbbcbcbcacbabcaaaccaabacaaaacaababcaaabacccbbbcbcbabcccababcccbabacbccbcccaaacababacbbbbabacbccaaaacaaaacabbbaccbbbbcbccacaaabbbbccacbccbacaacbccbaacccbacabacacaaacaaabcbaccbbcbbcbccbacabccccccccbacbccbabbcaaaccbcacabaabbaabaaaaacaabaaacbabcabbcacbbbbabbbbccaacbbbcaababaaaaacbacaaaabcbcabbbcbaccbbcbbbccaaccacbaccbcccabbcacacbbccabacbcaaaaaabaacaaaaabaacabcacbbaaccccacabaaccbbaaaccbcbcacccbbbacacccbcbcbacbcbaababcabaacaabbacbbaacaacaaaacccaaccbbbbaabccabcbbcaccccabcbbbaaacaabcacbbacaccbabbabbabacccabacbacccaccaaabcbbcbbbbabaaabbbcbcabaabbbaabccbaacbbccacaccabbcbbbaaababbbabbcccbbcbbaabbabacacbaccbcbbacabcacaccaabbccbccbacccaabbcccbcbaacabcaccaaabccaccaababaacbcbbaabcabbccccaacbcacaabcbbbccabaaaaaaaccbbacccabaaaccbccababcacbabbacccccbbabbbbbaacbcccbabbbacccbcbcacacbbacbbabbacbccccccbcbcbbacaaababbabbacaabbbbcbbacaaababacccabcbccacccabcabbbaacbbcbbccbbbcabbaacbcbbaabcabacbccacbcacabcacbbcabbbbcccccbaaaababcbababcbbacaabababbbaabcabbcaababacbacbbcbccbacaacccabaabaaccabacbccccbccabbacaaacabcbcbabcbabccbbaaaacbbcbbacbbaabbbcccbbbbbbbaccabbbacbccbcbcbacacbcbbcccaabbabbccabcbacacccbbbcccbcbabcbccccccabaccccacabcbabcaaaabbbcaabaccabacbbbbcabbbbaaabbcbacabaaababcaacaccbaabbcbcbcccabaccbbbccbabcabccabbaaaacabcabaacaabcabcbcabbbbbcacacbcbaabbaccbcbcccaaacacccabbacacbaacccacabaccaccacacaabaabbcccccbbbabbacbacaabcccacaccbabacccccabbabcbbccacbbcacbccbacacbccccbabbcbbbbacbabaacaacaabbbbabbbaabacaccbabababbccbbbcbacccbbacbcacccbacaaccbacaacccbbbaaaabbbbaabccbacabcccbaacbcbccaccabbcacabccabbabccbccbacaabcbbcbbcbabaaaaccbaacabacaacbcbaabbccccaabacbaabbbcccbcbbbbabcaaabbcbcccbccbcabbcabbacacaaabcccbaacacaccababcababacbbbcbbbbababbaacacaabccbcbccacbabcbaacbbaaabbcccabbcbccbacbbcbacbbbcaabcacacbbcbbcbcabaabbcabcbcbbccbbacccacbaabcbaabababccbabababaccabbcbaccababccaaabcbcbbccbabaabbacbcbaabababcbbccaabcbaccabbaccabaaacbbabbacbbcbccabcbaaabbcccaaabaacacaabbbccacacbbaaacbcabcbcbbabbcaabcbbcbcbbcabbcbcbcccababacbbabaabaabcacaaccbbaaacacbacaababbcbacabcbaaccacabbccacbbbbbbaacccbccccacaacabacbcaaababcacabbabbabcccbbccaabbbcabacacbcbbabbababccbaccbacbcccacacabababcababbacbbbccaacacacbbccbbcbacbbcbcbbcaabaacbcabccbbabcbbbbacbcbcbcacacccabcccccaaaabbcbabbcbaaaccabbccbcaaacbbbbbaaababcacbacaccacbacbacbbbaaaccbacbbcabaaaccbacbccbaaacaacacaccaccacbbaabbcbbbbcbacababbabccaabaccabbacbbbbaccbaabacaccbcaabcbcccbaaacaacaaccabbaacabaaabcbbbcbcbbabcbacaaabcccabacacbbcaabccbbccbbbaaaabaacbbbccbbcbbcbaccacacccaacaababaacacccacbccaaabbabbaacbaaccbcbabbaaaccbbbcabaccaccabbbbccbcccabcbcacaabcccbcbbbcacabbaccbacacbaaababcbbbacaccbabbbcbaccacabcababcccccaccacaccccabccbccaabcabbccbbbacaacbcbbaabbbcccaabbbcabcaabccbccaaaaabbbaabaacacbaccaacccbcbbbcccbbbacbacbaaccaccaacccbcabbbcabccbabbacacaccbcacbbbbcccbcccaabababbcabacabccbcbaabacbbabaabbcabccbaccccabaababbcbbcbcabbaccaaaaccbccbabccacbccbbcacaaaaabcabcabcbbbbbcbabbbbccbbbacbccbaabbcabccaccacbcaaaccbbcacbbbbbbabcacccbcbaabcaccacbcccbaaacbbabbbbcbababbaacabacacbccbbbcaaaabacaaacbcccabccbaccbacbbcbbcbaabcbcaacaabbbbbcccbacbcaacabbcbaaabcccbabacacbabcccabcbbbbcacabbcaaabbaaabacccaacacbacabaaaccaabbabbabccbacbbcbabccbaccccaaaabaaabaacaaababbcbcbbccbbbaabccabaccbbabccccbcbababacbbccbbbaaababcaaccaaaabaaacbbabaccbbacabbbbbccaacbcccaccabbbaccbaccccbbbcbcccccccccbababbacbabaacaabccbbacabbbaccccbabccababacbbbccbaaaacbccccbbbcbcaccbcbabaabacccbacaccccbcbaabcbbacbbacbcbbbbccaacbcbaccacacaabbbacbcabbaacabbbcaabcccbbbcabaabcaaabbcccbbbbcabbbcaabbabaabbbbabbbaacbbccaccbaaabbabcccaacaaaabccabaaabcacbbcbabbacbcbcaabbbbcaaaaabcccbabacbcaabcaaacabbbbaabaaabbbbabbbaaacbacbccabcabaccaccbabccaccaccbbbbacbacbcccbaccbcaacbabbabbbbcabcaacaabaccbbbbabcbaccaacccaaaababaaccbcbccabbccbcbbccbcbacbbacabaaccaacabcbccbabbacccbaaaaacbcabcccbbababbaccbabaaaacccabbcbabbbaabbcaccaccbbbacabcccbbcababbacbbcaccaacbabcbcbccbbcaaaaabbabaccbbbbcaaabcaacacacbbacbbaaabababbaabbcaacacbbcccccabacaaababccbacbbcbcbcbcbcaaabbbaaabaaaaccbbcacabcbccccaaacbbcbaacbbaacbbaccbbbcaaccabbaccaccabccccaabbbaacabaaaabcaacabbaabaaacbabacbbaacacbcbcbcaaabcbcbbcbcccbacbbcaaccccabcacccbacbbcacabbbabccababcababaccacacaabccbccbcaabccccaabbbabbcaaaacbbabbcaacccaccaacbcbacacacccbcbbbcaacaabbcacbbccbacacbbaacabbacccabaccacbaaacccbccababababbacbbabbcbbbbbccacccccbaaaabbccaaacabccbabcabbbbacbaccccccbbccaaacabaabbacacbbcacbaaabbabcbbbaccaabcabbabcaacaabcaccbabbcccbcacacaccccaccbaababcccbccaabbabbbccacccbaacccababacbaccaccabcaabbbaccacabbacbabbbbacaccbaababcccaccbbbcaababcbaacabaacabcbabbbcccbbaabbcbbcbbacbbcaabcaccbaacbaaaaaabbbbaaaacbaaaccacbcacbacbaaabcaaaabcbbababccacbcacbccacbccbbbacaaaacaccaacbaaabaabbccabcccacccccaaccacaacaaaaacaccaacabcbbbabacccbcaacccbccbbbbabbccccbababbbbaccacacbabaaabacabcbccbcbababaacbcabbbaabaaaaacbbbbcbacbcabbcaccbacacbaabbbaaaabbbcaaccabcbaacababcccbabbbbaccbabbbbcacccccccccbaaacababcbcbababcbaccccabbbcccabcababbcccbabcbacaaaccbcccacabccacbabbbbbacbaaababbabbaabbccbcbbabbcaccacbccbccaacaccccacccbcbcabbaacbcabbacbccbababaaaabcaacaaabacaaacccabbaacbbabbcaacccbcccbbccabcbbcccababcaccaabcbabbcababbbacbccbabcbbcbccabbcaabaaccaaaccbcccabacaaabaaccccccaaaabcabbabccabccbbcaccbaccbcbacababbcaacbbbbbaccccbaabbcbaccaaaacbccbbcacccaaabaacaaacbbbabccbacbbbbacccbcaccbbbcbcbbcbaaaaabacbcabacabaaaaaabcaccacaabcacabbaaacbacbcaabaccccbcaaabaaccabbcbcccbbcbbacbbbaccbbcbbbabacaaaabbabcbacbaccabccaaaacccbbcabbbacbbbaabaababaccccbaccaaabcacbaaccacabccaacacaaabcbbbbbcabcabcbbabacbbaaacabbbcaaacaacababcabcaaaababaabaccbbacaccbcbccccabcaaaacbaaccccabcbcbaabcabcbcaccbabcacbbcabcacabbabbbacabbacbabaaacbcabcbbbaacbbbbabcbcabbbbacacbcaababacbcbcacabccbacabbbaccbabccbbcabbaabacccabaaccbaababaccccbbbbccccacbbabcbcbcbbabcbaacbccccccacaccbaacabaaabacccacabbacbbcbbaccaaaaaabbcabbccbaabcbccbcccbcbaacabbbaaccaaabccbbcbbaabcbbbbaababacbbacabbaccbabaabcacbbbbcabacaaabcccacbabcacbabaaabbcaabbabcbcabacacaccbacbacaabcabcbccacabaacccbbbcaaaabccbbaaabbbbcacaaccbcabbaaabcbabaccccbcaaacbbcccaacccccabaaabcbbcbbbaacbaaacabaaabcabcbcacacbcabccbabcabaabaccbbaccbcbcbcaaccaaabcbccaaaaccaaabcacbbccacaaabacbbaabaabaccccabbcaaaabacacabacacbacbbaabccbaccbbbccacabacaacacbbaabaabcbcaababacbabcabcbcaabaabcbbbcbbbcaccaccacbaaaacaccaacbcabaccbacacaaaccbcbccaccbcaabcabcbcacbacbaccacbacbcbbbbcbbcabaccabcbbcabbaabacabbababcccbcabccbacbacabaacaabbacbbaaacababaabbbbacbabccbcacbbcbcabcccccbacaacccbacbcccabcacbbacbbcabbbbaccaccbbbaacbbacbbbbcbabbbabcbaaabbccbacccabaaaccaaaaccabbcbacaabacbbabbabaacbababbcaccabcbcaacbcbbaaabccbcaccaacbcaaacbacbcbbacabccbccabaaacbccccaaaacacbbabccabbbaaacccabbababcabcccbaccbcaabbccabbbbcacbcaccbbaabcbbbcbbbbbcaacbccabccaaaabcbbabcacbcccbbccbabbaacccccacccababcabbbbaababacaabaccbacbbaabaccccabbcabaacbbbccaaacaaaacccaacacabbccbcbacbaaabbaaaaabaccacaabacaaccccbbbbcccccbaccbcabaabaaaacabcbaaaaacbabaababbaaacccabbcbabcbccababcbababcaacccbaaacbaaacabacbbccabccaaabaababbccbaabccccaaaaaaacbabbaacbacbbbacaacacabbcaccaaaaaccabbcbcccacbbabbcccaababbacbcabacaaacccacbbaabbabbabbbcbcbbaaaccaabacbcbcccbbbaaaabacbacbcbacbabbcccccacbabcbcaabbbcabcaacccaaaccccbabaabaabbacbccccbaaaacaccbbaabbababbcbcaccbbbcbaaacabbbcccbbbcbccbaabbaccbaaaabcacbcacaacbaaccaaaaccaabbbacacaacababbcbabccbacbabbcabbccbbcbccaacaccbaabbcbcabbbbbacaccbbbcacbcabcccabcabbbbcccaacbababccbbccbbaccccbaabaacbcccaccbbcbbbbbcccacbbcacbbcabcacbbaaabbbbbcbccabacccaaaccbbcacbbcbaacacbcacbcaccbcacabbcaacbabacccaacaaaaaccaaaacabbccbbcaccaaabbbcbacacccbcccaaacbcacaabaaabcbbccaabbaabbacccacbabbabcbcbcacbacaccbcbcbabccbbcaaabaaaaccaccbaabbbcccbbacacccacabbbbbbacbabbcaccbaacccbcbccccaabacbacbaabacbcabcaabbbacababacaabcaaaacacacaacaabbbbccccbabbabaacccacaabcbabbcbabbacacccbcbcbcbacbbbbcacbababcaabcbbaacccabacbbcbbcabaccaabbcacaabccaaaabaacacccacaaccaabccabbcacbabaaabbbbcaaacbaccbcbaccccbbcabbcaabcbbccbbbbcbcacbaccacbcaacbcaaacaabcbaccccaacccacbaacbcaaabccacababcbaacabccbccbbcbcacabcaacccabcbbbccbcaaccbcabbccbabcabcaaccbacacacccacaabcabbcabcccbccaacabacbbbabcbcccaccaabcbacaacbaacacaacbaacababaccbcacbcbaaacccaaacbcbabcababbbacbccababbccbcbbaabbabccbaccabcbaabbcaabaaabbcbbcbbaaaabccccbaaaacbcabbbbababcaabaabbcbbabbcababaababcabcaccabbccbbcbaacbabbbabaaccbbbbbabaaaccbbcbccaaaccbabccbbaabaabbcaccbbbcaaabcbcbcabcbcbbbaccbaaaccbccaccacaaacabaacabcabcabccbababacabbacbaaabbbccbcbaaabcaaaaababcaacaccbbccbaaaaaccccacbabaabbbbbbbcbccbcacaababccbccbbcbbcbaacababccbccaabaabaaabcbcccacabacaacabbabbcaacccacccaccacaccbcacccaccbabcabcaccccbbaaccacabcccaabcacbbbbcbcbbcaccacabccbcbbbacabbbbbccccbbacbabbacaacbcbacababbcbabccaababcbbcacaaaaaacccccbaabbcbbaabbccaccabccabbabacabcacabaaaabbbcabbccbaabcabbccbbccabbcccccacbaaccbbabcabacbaacabbcbbacbacacaaacbcacbacbbacbcbcccccababbcbacbbaaaaabcacabccaccabbbaabccbccaccbccbababbcbbacaacccbbabbcabaabbabcbbacaabaaacbbcacbaccbbcbcaacbbbbbccabbaacbaabcbaaacabcbaaaacccbabaabccacabbacbacbaaabccacbaacbccbbbacbaaaaaacabcbbccbbcbbaccccacbababcacbcabaaccbcbbccbcacbbbbabaaacccabbaccccabbbbbbcbcccbbacccaaacbaacccccabccacbaacbbbbbababcbabbaccbbbbaabcbbcbacbbcbacccbbaaaabbbabcbcccacabacacbcbcbcbccababbcbccbbbcaaacbccbabbabcabacacbaaaacbbcaaabacbaaccbcababbccaabcbcabccabbacacaccbabcbaccaaaccbbcbcbccbbccbcabcabccaccbbaaaacabccbccacbabaaacabacbacbaabbcbcabcbccccccbcaabbababaacaccccaacaaaaacccbcbacbcbbcabababacbbabaabcbbabaabcbaaccbabbbcbcbcacaabccbbbabcaacaaaabccbccbcbbababaacbbbcaccccbabaaaaaabbaccbbbbbbbbbaabacacabaccbabbabbbcbacbbacabbbbaccaccacaccaaaacabbabaaccbcbbaacababbaccbcbccabaccbacaaaaccaccbbcbbbcaaabaccbaabbccbcbbccababaabacababbbbaccbbcbcbbabcacbcccbcaaaccbcaacbcbabcaabacccccbcaababacaababcacbbbacabbccacbcbcbbaccaabcaccbcacccbacbcacbccabccbcabccccbccaababbcbbcabbacaabbcbabbcbaccabbaaccbababbacbcacabbccbabaabacaccaccbbcbbcaaabbabcbbabbaacacaccbcabacabaabbcbcbcccbbcccbcabbcccabaabbaabbbbccccabacbcbabaabbcccbaaaaaccababacbacaaaaaabcbcbcbabccabbccbccabaaabcccabbaccbbbacccabcccccacbcaabbcbaccacaccaacacbcbaccbbbbccbbbababccbcaccbbcbbacbabbbcccacbbcbcaacbacbcaacbbabccaacccbacbcbacaccacacabbaabcbcccbbbaaccacacaaaacbbcacabbabcaacabbbacabaaabcabbccaaaaccccabccbacbaccccbcabbcbcbabcacaabcbbaccccaabcbacaccbacabaacbaaccabcaaabacabcabbbcbaccabcccacbcccabcbcaaaaaccccccccabbccaababbababbaccbcccaacabcabacabbbabccbccaacacacbbabcbcacaacabbbaaaccbbbccbaaccacbbcabaabcccbbaaacaaacaaaaacccacaaabaacbcbbaaccaabcabaccacabbabbcbacbaacbacacaacccbacaccacbabccccbcbbacacaaacbacabccababccaacbcbbacccacccabcacccbbacbaaaccccacbbccbacbccaccabcccccaccbcaaccbaaabcbaabaaaabcbaabbbcbaacabaabccbaabbaccaaaacbcccacaabcaabccaaabacacbbbaccbacabbabbacacbaabcababacbbcacaabbccccbcbcbbabcbccbcaaccaccacabbbabacabaccbcccacaccaaccbaaaaaccbaabbcabbcbcaccaaabbabbbbcaaaabbaabaaaaaaaccaabcacbaaccaaacaaccabbaaaacbabaacabbbbbababcbaabbbcbbabcccacbbabccabccabaababcaccccaabaabbbaabbcaaaccacbaaabcccccccccbbbacbbaaacabaccbcbabccbabcbbbbcbaaaabbbcccacaabcbaabcaccacacbaacaaacbbaabcbbbaaacbbabcbbabcbbaaaabccababbcccbbcabbbcbbbbacbcacacbccbaabcacacbcccbccccaccaaccbccaabcacbcbcaacabcabbacaaaaccabbcaacbcccaaabacacbaaabbabbacbabbaccbbbaaacbcaccbbbaaacccbbbacbbbabaababbcacabacababccbaaccbaaccaaccccaacbccaaaacbbaabaacccccaabacaabbcaccabaaaaaaccabbcbcaacacabccabccbabcbbababaaacbbbbccccaacbcbbaacccaccaabaccccabcacccbbaabaacabcccacaccabaabbcccccccaacbbacbcaababcbcbacaaabbccaccccbcaabbbccacccaacaaacaaabbccabacabcbaaaacaabcccbccbaabbacccacacbacbabbcacbcbbacbbacabbbbbacaabbcacacabcbccbababbbcbbbccccacbcbccccbcccbababaaaabcacabaabaccaabaabbacbabcabbacbcaacaabababbccccccbaaaababcacbabcccbcbaccacbccbbaabbacabccccaabbaacbacababcbbcbcacbacaabbacaacaabbccacbacccccbbaccbcbcacacaabbbbbbcbabbabcccbabbbaabccacbcbbbbabaaabaccbbacbcbccbaaabaacaacbbcccacbaabcbbccabaabcabcbccbcbbabcaccbacbccaaaacabbbbacbbabaababbbcbbbacaccbcaccbcaacbcbababaaabcababcacabaaccbccbabaabbcbbacbcbcbcabcccbbccccbaaacbacccbaacacacbbcbcbbbbbcccaacbbaccaacabbbccbabbbacbbcbbbabcacbaabbccabcaaaaabaccacaacbccbaabbbcccaaabcccbcbbbababbacaaccccacbbcbbbacbbacbbcbcaccbcbabbacaaacbbccbcccbbcaaaaabbcbbacbabbabcacaacbcbbababbbcbbccbbcccbabbcbcbacbabbcbacacbacbaabacaabbaacbbaaaacabbaacbccabaccbbccabaabaabacbabccaccaabbcbbccacbababaabaacbcbbaacaaaabaccbcccccabaabcacbccbcacbaccaaaaabcaaccbbbcbbbccaccaaabcaccbcaabbccacbbcccbbcabbcaacabbacacbbaaacacbbbaaababaccbaacccbcccabaccaacbacbcaacbbccbacabaaaaaccaacbcbcccacaccabacccbabaaaaaacccbcbaabacccbacaaabbcbbbcaccababacaabcccbaaacbbbcbccacbbbaaccccabcaaabbbabbccaacccbbbaccabbbcbcbbabaabcabcacbbccbacbcbcacacbbbbbbcbccacaabcababcabcbabcbbacaabcacccaabcccbabababbccbaabbccbbcbcaaaaccabcaabcbbaccababbaabcaaaaccbacbabbabcbabaacbbbaaaabaaaccbaaaabcabbaacbaacaaacccccbbccccbcaaacbaccbaaaaccaaabbccababbcaaccbbababacccbacabcbacbbbbccaaacbcaccbbcacbacaacccbbaccbcacacbcbccaaaacbbaccbcabcbcbbbbabacbbaabbacbccbcbbabcaccaabbbbbccbbaabbaabcacbccbababbaacbbcccacaacbbcaabcbccbccaacbbabacacbabbbbcaccaaacbaabbaabbaccaaacbaacaacbbcabacacbcaccabcbcaaabaacccabbbbaacccbbbbcacaacaacabbbbbcbcbccbaaacbccbcaabcabccabbbbaacbbccbbbbcbcacbbbaacbbbcbbbccacbbabaacabbaccccababbbbacaaabccaaabbabaaababbaacbbcaaaaabaaaabaabccbcaaacaccbabbcbabacaccaabacbabccccacbbbbccabbccbaaabaababacaababacbacbbacacbcccbacaabcbbcbabaacbaccbaaacbcbbabbabacccbbbbacbbccccbcbbccccacbbccbbaacacbacbbbacabaccbbbcbbcabacbbaaacaaaaaacaaaaaabcccccccbabcbbbccbcabaabbbbabcaccbcbcccbbcccaabacabcaaabbbccbbbbccccbbaaccaabaacbaabacbcbbbcbacbbbcacacbacbaabbbbaccbabacbaabacabccbaabcaaaabccabbaabaaccacaaaabbaacabbcbbbababccccaccaaccbbaacbcbbbbaacbcaccacbabcbacacaaacbcaabbbbbbbbacbabbccbcabacabbacacccabbcbbbabbacacaccabcbbaabacbbcbaabbcabcbbbcacbcabbbbbaaabcaccaabababaacbabcacacacccbaacbcbbcbacacbaacabaabacbbabbabaaaacccccabccbaccbbaabacbacacbbbbbaaccbacbcacbaabbcabccccbcbacacbccccaabbaccbbbcccbcbaacbabbcbbcacccbacbaccacbaabbacaaabcccccaababcacccbbbcababbcaabacbcccbaacabbcbbbaaacbccbcccbbcaaababbcabbabccbcbbbabbacabcabccaabbacaacaccbcbccbaccbbbbbcacbcbbabbcaaccbabccccabcacccbabbbcbbcbbbacccacccaaaaabbccbcaccaccaacbccbaabbcbbbcbccaabcbbccccabbbacaccbccabcbbcbaacaaccbccabbcaabcbaccabcbacaabcabbbcbabbbccabcaacbaaababcccabbccacababcbbcaabcaabbabaacaabbccacaaacacccbcabbacccabcaacccabcbbbbbcaaabcbccaaaacccbbbaabbcbbacaabbcbcabcaabbacccabbbcacacbaaaacacbccacbbaaaccbaaccbcbcacbacbaabbcaccbccbbabcaabbbcbaacbbccabbaabbccacaabacbacbacacccacccaabbcacbcacbccaaacabaaaacabbbbcaccbccbaaabbacbaaccaccacbabbababbbbbabaccbaacaabcaaaaacacabcacababbbaaacbbabcacaaaacaaccbabaabcccacbbbacabbbcacaabccbacabcaccabcbabbaaaccabcbaabcbbbcbacbcbcabcbabccacccabbbaaacbabccccaccbaaaabacbbabcbbcccbacccacbcbbcbccbcbaccabacaabaabcbcbccacccccccbbccbabacbabcbbaaacccabcabbabacaabccbbcaacaacaabacabbaaaababbccbaabbccabcacbaaabbacccabababcbcababcabaaaabaabccccacbabbcacbcbacbbababaccaabbccacbbcacaabcaccbababababbbbabaccacbbbccbcbbbacbcaabcccccccbabaccbaabcaabcbbbcacccbcabcbcacacaaacccbbbaabcaccbaacbaacabbcbaababaaaabcaaacacaacbccaaaacbbacbbcabaaacbacabaabbcccacbcccacbbbccbbcaacaaaaabbcbabcbacaaabacccaaabaacababcbcaacaaccaccbbcbacaaaccbcaaacacabacaccacbaaccccabccccacbcacbcaccccccccbaabbcbacbccbbacbbbccacbcbccaaabaacbbcacbaaaabcacaaaababaacaabaaaaacbaabcbcbcbbabbccccccbbccccbbbaacbbbbaabbccccaabaaccaaccaabaaaccccccbacabaacbaaacbbaacbcbaacabcabcaacacbcaaaaccbcabbaccacabbbaabcbabaacbaabcacbcbaacacccaccccbbbbccabcaccacabbabacacacbcaaaaaacaccbccccbacbccbccbbabccbacaaaaccccbbbccabcbccbacacaaacacccbcabacbacbcbbcaccccaacaccacbcbccbaccbaacccccaaabccbcbbbbaabbccbcabbcaaacbbbbabcaacaacababcbcbbbccbccccaccacbbacaabbbbbabcbcaacccabcbbcbcbbbccccaaacccbbbbabbbaaaacbcbabcabbaacacbaabacabccaccbbbbcaaaabccaacacaabacaacababbcbabaccccbccbbbaacbbabcccbccccbbbaacbbaabbaabcacabbcabcacbbbaccbaccacacbbaccbbcabcccbbaabbaaaacaccabaccaabbcbccaabbcbaabccaaaacaccaabccabacbcbabcacacaaaabbcbccabccbabcbcacbcaaabcabaabcaaaaaaabcabacaaabbabcaacacaabacaaaaababcaabbbacbccccbbaabacbabcabaacccbcbbbcbacaaacbcbbbcccaacbabacacabbcbcacbcbbbabbccbcbcbbacaacacabbccbaacabaaabbbbbbcbccbcacccbacbbcabcacbcccbacacbccbcbcbcbbbcbbbbbcaaacacaabcaaabbaaccbcbcbcccbcccabbcbccbcabccbcbcbbbbaccccabacaabccbbcccbbababacbcacbbbabccababcaccabaacccbbbaccbbcaaabaaaabbabbcbbaabccacabaccaccaaaacbbbccbcbcaaabccbbbaaccccbcbcbacbabcccacbacacbbaaaccabccabbaabcacbbbbacaabcacaaacbaabbbbcccccacbcccbabccaaacaccacbbcacbccbcbaacbbcccacabbcccccbbacbcbbaaaacccaabacaccbabcababcacacbbcabacaabbbccabcbbacaaccbbbaacbcbcbbbcbaacbcbacbabbccacbcacaacaacaaabbacbcccabbcaaabbcbccabccaaabbcbacaacbcacaabcbccccbccaaaacbbbabcbcacbbbcccaccbcbbabacaaaabacaababccbacabaacbabbacbbbcaccaababacbbabbbcacbcaccaaccbbccbbabbcbabacbcacacaccabcbcabcbbcabcbaccaabbccbbcacbcbbaaacabbcacbcccbcaabaccbcaccbcacababcbabbccacacccaaaccbbbaccaaccbcbaabbcaabbccbbacabbbacbbbcbcaccababacbbcbcabbbccabaacccacbbcacbcbbaccbccbcabcbcbcacabaacbbbacbcbacccbcbccccbacbccaaccacbcacbaabcbccbcbacacabcacbcbcababaacabcacbcaccaaabbccabbacbbcabaccabccbccababcbcabcaacccaaaccaacabbbcbccbcbaccaaccacacbcaaaaabbbbaabbbcbcbbabaccaaaaacbcbcbbccccabbaaabacababbbabbabcbcacbabcacbcbabbcabbaacacabbcaccaaabcabcbccbaccbabcbccaaabccacbbcccbcbbcbabcbaacaabcaacccbacccabaaabcabbcbbcbaccaabcbccaaacbcbbbaabccbaaacccbccccaabcbbcbcbbbbcabbccccbcabccaccbcccacbbcbccabbbbaaabbcaaccabcaaacccccbcaccabacbcccacbbaacbcbccacabbcacbacacaaacbcaacabaaacccbabcaaacccababbcabaabababbccbabcaaacbcabcabaacabcabbbccbacabbcabbbbcccaccbbbabbabcbcabcbcaaccbbcababccaaabccccabbacbbcbcabcbbcbbaabbaccaccabbbbcacabbaaaccbccccaccacaccbbcaacbbbaaabcabacaacaabbaccbaaababaccacccbbccabcabaabcabababaccacaaaccacaabbcbbccbaabcabbaaabcacaacbcacaccbaccbbbaabcccaccccbcbcbabbcbacabbacabacbbcbaaaccaccacbcbabababbbbacbacaaaacacccbacaaacabaaccaabbbbcaacccbabcbccabcacccbcabbbccbacaccababaacbaabcbaaccccacbccacbbbaaacaaccaacabacababcbccbccaaccbcbaaaabaaaacabbcbbbbabccabacababbabacbbbccbcbbaaccaccacabbcbabbaaacaccbcccbbaaabbacacaabbccccabcacbaabbcacbaaaccabacbcbbcbbbabcbcbbbccabbccccbbccbaacbcccbcbbcccbacbbbbbccbbabcccccbbaacacacbbaacababacbacaacacbaabaaaaabcbaabaabcaabcaabaacbbbabccbacaccbcacaabbcbbbbbcaaaaacccabcbbacbbcbabbbaabbcbabaaccbccabcaccaaaabbbcacbbccccaacacabcacccacbbcacbbbaabcccaaccacbabbacbccaaaaaaabcbcbcbbbccacbacccbcbbabbcacbcbbaabbccbcbccaabbabcbccbaccbbabbbbbcabccaaaaaaacbaccbbccbaabcbbacccacabcabcccabccaacbccabcaaaabaaacababbbaccbabcbacbababaabbacbcbccbacacccacaabcbbbcaaccccabcbacabbcaaabbcccabacbaabcaccbcbababbabcacccbcaaabbbcbcbabaccbbacabaaaccacbccbbacbbaabbcccccbbcccaabbbbbcbccbaaacbaacaccccbcbccabcbcccacbbbcbbacababcbabcbbcbbaabaacabaaaccbbabcbbabbbbababaababcccbacaacccacabcbbbbbccaabbabcacbccbbbbcbbbaaacaccccbccaaaacaacbbabcbccbacaaaccabbcbccccbaacacacbcabbbcaacabacbacbcbcaccaaaacbcabbccaacacbbaaaaabccccacabcccbccabbcabaaaabababcaccbcaabcbbccaccabcaaacaabaabbacbaacbaccacacbccbbaccabbcbaaababbaabcabaabbcbcaaabbabccbcccbbbabcbbabbbbcccbaacccbcbbbaabccacacabbbaccababacbcbbccbbbaccabbaaccaaabacbacbaccbbbbbccbcbbbaccabccbbaacbabacbccabacaabacacaaccabccaacccbcccabaaaccccccabcbbbccbaaacbbcbcabababccaaacbaaaaccbaaabcabacbabbccbcacabbcaabacbbabbbbacbcabaacabcccbabacbcaaacbbcbaaaacbcbcaaabaacababacabbacabcacababbacbcbcaccbcacbacaccbbababbaabbbacccbbbbbbcacccbabbbbbaabbaaccbcabbacbabcbaaaccccbabacbcbacbbaaacbbcbbaacaabbcaaccbbccacbaababcaacacababcabacbccbcbaccccbcbacbbabcbabcacacccbcbbcbbacbcccbcbbcabcabcbbcbbbaaacbbbacacbbabcaaccbccacacbcbcaababcbcbaaccaacbbababbbaacbcbbcabaaacabbabbacbcbabbcabcbcababccbcaccaccbbbcacaabcacccbaaaacaabaaabacbabcbbcacaccbababcabbabccccbacbacabcaaaaaaacabbacccbcbcbabbbaabcbbcbcbccacbacbbccaccacabbabcbcbababaacbbbbacccbabacaabacacaababbcacbccbaabcaaaccabaccbcacabacbbabcbbaaaabcbaaabaaaaaccccbbbaccabbaacbccbbabaabaaababbaabbbcabacbbbbcacbbaacbabbaccaccaaabacbbccbbabacbbcbcbcbaaccbaacccacacccbbbacaccbaaaacbcaaccbbbbcccbbccccaacabaabbcbcbbbaaababcaccccccaaabbcccbcaaaacccaabcbbabccbaacbbcabbabbaaccbcaaccaabcbabccbabcaaabbaacbcccccbbacbcbbabbcbcbcbbcacababababcccbacccbbcabbabbacbabcbababcbcccbaaacabaababcaaaabcbcbbbaababbbbabaacbabbcccaccabccaaabcaccaacbbaabcbcbbaaababbccbccaacbbcbbaaababbbacaacbbcccbccccbcccabccbbcbcbbcbababcbbccacabcbcbbcbccbaabccbbbaabbbcacacaacbbcaabacaccccccbcaaaccbacccbbacacacbbabcbcaccaacbaacbabbaaaaacbbcaababcacccccbccabbccbbcacabcccabaaabccbacbcccbbbabaacbacbabaaacaaaccacaaabbbacaacccbaaacabbbccabcaccacabbbaaccacbaabaacacbbcbbcacccbcaabcbbccbbcaaabbbaccaacababbabbbccbbacbccccaacacbcbabcaaccaacabccbaaacacaccbbbacbbcbccabaaccbbcbaaaabacbacbaabbcaaacbacabbbcccccbbcbababbacaaabbbcbcaaccaaaacbcacbccccaaccbababcbcaccbacaacacaaaabbcbaabbbaaabcacbbcaabcaacacbacbbcacaaacacabccbaaabbabbcbcbcabbaaccacccbaababcabbabacaacbcbaccccbbacbcabaaaccbcccaabccccaabbcaacaacaacaaaabccaabbbbccabcaacbbcbbcccacaabbbabbccbbcbcbbacbcacaabacbaccbbbccbbaaaabbcbbbaabbbbcbbabbbbccbbbbbaccabcaaccbbacaabccabcbaaabbbbababcacccaabbccccacabbbbcbabbcbccababcbbabaacaabaccabbabbcaabaaaccbccaababccccacacccacacbbbccacaacbbaabaaabbbbbcababcccacaaacabbbcaaaaacabaccbacbcbabaabbbacaaaccbaccbabccacbcacccaabbaaaaababcacacbbbacaacabacaabcccbcbcacbaabccabbbccacbbcabbccbabacbbabcacbccacabccbbbcabbabacccaacaccbabbabaacbcbabcacacabcabacbcabbabaccbcaabcbaabccabcccbabbccbabaacacbbccbabccacaacacacabccbccbacaabcbbbabbbbbcbbcbbbaaccaabacccccabbaabacbcbbbababbaabaababccacccbabacbbaabcacccbcaccbccbbbcbbbccbaabcbababaaabacbacbbbbbcbbbbcbbaccbccbabaaabaacbcaccbbbaccabcbaabbbcbcacaabbbbacccbcacabcabaababbabbcabacccbbabccbcbacaaccacbbcbacbccacbbcbabccacbbabcbbbaabbcbccbcbcaababbbcccbbabcaccccbcbbacaaccccacbbbacaaaacbbcabaaaccbaacabbabaacbababaabbcbbbcccbcaccbbbabbbcbaaccacabaabbbcaccbaabcbbaccbbbabcaacaaaccccaaaaaaaabaacaccabcaccbabccaaaaabccabcbaacbccccbcbbabbbabcbabccbcbacaaacaabcaaccbacacacbcaabacababbcccccabbbcccccaababcabcaacabacbbaabbaccbacabcbcaaaabcabcbbbbcacaacacbaccbbbaacaacbcbabaacbaccaabbcccacaacbbcbcaabcacaababacbcabbacccaabbcaccccabcccbbaacabcccaabbbbcbbbccbabbbacacbabcccbabbbababaabaacbaaccaacccbbbbccbabbcbcbabccaccbcabacbbacbacabababcaaabcbcacbbbbbcbcacbbcbbbcbabbacbbcababbccaccbbcabbabbcaacabbaacabcbcbabcacbcbacabaaccacabacaacbacabcabcaaaacbcccbcabbcccbbabbcbccbacbacccabcbaacbcbcacbcbcbbacccacacabbcacabcaaabbbcaabbccacaababbacaaabccaccbaaacabccbcaaacbaababacbbabbbbcaabccaacbaabcacabbcbbcccccbbaacbcbaaaccbccccccabcccaaabbacbccbcccabababaabccbacbbbabcccbcaabacaccccbcacbbccccbbcbccaccacabaaacaaccccbbbbaaaaacaabcbbabbaccbcccbcbccccbcccbcbaaaccababbaaaabbbbcaabbbaacacccacbaaccabbcabbacbbabbaacbbbcbbacccbccccaccaccaacccbbbcbbcbcbabbbbabcacabcbbbccbbbcbccbbabcbaabaccabcacaccbbcababbabccbcbccacacacaccacbaabcccabbcaacabccabbccaacaacbbbbcacacaabaaccbbabcccccbbbaccacacaabcbbbabcbcbccabbaababcaccaacaabaccbccbbbaababbcccabcbaccbbcbbbbaabaacccacabbcbbbcabacbbbcbabacbcbbbccabcbbaacaabbbabacccaaccabcbccbbbabacaaacacbccababbaaabababbaaacacaaacccabaabcabcbacccabacbabbacaaaaaaababcabcaabccaaaaaaacabcbaacccbaacccbcbbaaacbcbcbbbcaccbccacbacabccabbaccccbbcaacbacbaaaccabcabbbacccaacbabbabcabccacbacbabbbbcbccacccbcacababcbaacbacbbcaccabbabcbbaaccccaacbacaccbbbbaaabcacbaacbbbbbcacaaaacccaccbbabcabbccabbabacbbbbccabacabbbcaacacbbaacbabaabcaaccbbabacacbbcbbbaaaacaaaabbcbcbbbcaccbabcccbaccbabcabccbababbaacabacabbccaaabbccbccaabcbcabaacbcccbaabcaabaabbccacabcbbbacccbbbccaabbbacaabacabbaababaacbababacacbbaacbabcbaaaabaaabbaacccbcbacbacaacccbabcbacabacacbacbaabacaccaabcbbcbcbcbaacbbbbbbcbaaacbaacbcaacbababbbabaaccbabaaaabaacbcbccabbacccbcccccbabacacacaababccaaabbbbaacaabccccbccaccbabbccbcabcbcabcccbbccabcbccbcaabbbbcaaaacaccbcbcacbcacacbcaaaaababbabbbbaabaaabacbbcaabacacaacaacabbaacaccaacaaaaccbacaccbbaabcaccacaccbcccaccabbbbbacbbcaaabbcccbbcaabaacabaacabcccccbabcccaaabaacbbbccaabacbcacacacbccaccaacccbbcbbcaccbbcaaabacbaaacbbaabccabacbcaacccabcacabccaccaacaabaccabcacccabbcabcbabcbbcbccccacabcbccbcacccabbcbabcbacbcbabbabaaabccccbabbcbbabacacbbabcbbbabbabbaaaacaaaacabccaccccbcaabbcccbaccbcacbcaacccacbbbbbbccabbccaccbacaccaaaabcacbcaccbcabcabccacaccbaaaabcbbaccbcabbabbacacbcbcabcacbbcabbcbbaaabccacabbccacccaabbbcbaaaacbccacbacbcacbcbabbacbcabccaabbbcbbacbacbaacacaaacabbbcaaacbbacaabbbabaaaaacccacbbaaccbbabbabcbbabccabaacacbbbabacbcaabaccabbabacaaaabaccacaaabbacaccaaabcbcacacaabbaaccccaababcbbabacabcccbbcabaccbbcbacabccabbacbaaabaaaaacbcacabcbbbbccbacaccccbabccaabcbacbaaccacbacaacaacabbabbabbcaacabaccabccbcacacaaacbcacacababbcbabbbcbccbbcbcccccbbbbbaabaaabbacccbcabbbaacaabcccbbbbabccaccccaccbcabbcbcbbacacabacaccacababcacabaacbaaacaabacbccaaccbbabcbcabaabbabbbabaabbbaaabcaacbcabbaacbacbbbacbacabaaaaaabaaacaabcbaaabcbcaabaabaacaacbcbccbcacbbaccaaaacababccacacbbbbbcbccaabbbabcaaaccaabbcbccabcbcbcacbcabacabcaacbbacacbccccbaaabbaaacaacaabcaabbbaabaacabccbcacabacacabccbcbbabaabaccbbbbcbabacacaabbcacbaacacbccabcabcabbabbccbcbcbcaaacaabcabaaacaccccbbbaabbcabacaacccaabacbbacccaccabaaacacabcaaaabccabbccbaacbcbcabcbbacbacbcccabbababbcbccbcaabbaaaccbabbcaaacaaababbbbaaacbcbccbbcbaabcccccbbccbaacabbccccccabcbacaabcccababcccbcaccbcabacbbcbbbacbccabbacccbcabbaacabcbcbcababacbcbabcaabacbbcbabbbcaccbacbbaacacacaaccaacbabaabcbccabcaabacabacacababcbabbbaaababababaacbccbbabaabbccabaaccacaaacbaaababbbbacbbbbccbcaaacaccabacccbbcaaabbcbababbabccbbcbaacbacabcaaabbbaaaaababaaacaccbccabbababcaacbccabcbabbcaaccbcccccccaabcaaabaaabcccbccbcbcbbccabbcccbaaaaaaacbacababccababacbbacbcacaacaccabaabaacbbcbcbcbccccccbababaccbbbcbcbcaaaaccccacbbabbbaccbabbcccacbcabacbcccabccbbacacaacaacbcbbbabbabacbcabcccabbabccbacbacccbcbbaaabacbabbbbabbcbbccaababaacacbaccbcacacbaccacabaabccabbcbabbcbbbaccaaacabcccbcbcbacababcaaacbbcaabaabcbcccbaccaaaabccaabccbccabcbcbbcbacbbacbacaaacbbccacbaccabcacabbbcbcacabacaaccaabcbabacacacbbcccabcbbbabcbbaabbbbbcacccbccabbacbabcaabacaccbccaccbbaccabcbcabbbbcbbbabcaacbccabbbbacaaccccbccbcccbcccaccacacabccbabaaaaabccccbcacacbbbcabbacaacccbabcbcccbacaabaccabccaabaaccababbcbbaaaaccabaaccabcbcacbbcccbbaaccaaaaaaabacbababbcabbbcbcccbccaccbcaccaaacabbbcabbaabbaccacbabacbcaabacabcccbabaccacbbabbabcbccbbbabbbbcbbcaababbcbbcabcbbbcbcaabacaaaabbbbbcbcccbaacbccabacabaacaabccabcccacbcacccbacccbbcbabcbcbcbbaaabcbabcabaaaccacbccacbbacacaacccabababcccbaabcabcbbbccccbcbacbaccaccaaccccbaacacbbabcabaacabcbacbbaacbcbbbbbbbccbcaaccbcbccbbaabaaabcbbcbccabcbbabaabbaaaabaacacacbccacabbbbbacacbbccacbaabbbbbbaacbcbbccaccbbccaacbbccaabcbaaaabbabcaaaacabcaaabaaacbcaacaabbccbccaaccbacacbbccbcacbbabaabaabcbaaacbaccccbcabcabcbccbcacacbbacbbcabbaabcacccacccccbbbcaaacbaaccaccacacaccaccababbabbacccccacbbbbacbcacacbcacabcbbbcacbcccccaabbaaccaacabcbbaacbabbbaaabbbbabcaabaccbbccbbcaaaaacaacbcbabccabbccbbbcacaaacccacbababaaaaacccacaabcbbbbaccccacbacabcccbccbacabaaabbabcbaaaabaccacabccccabaaacccabbacacabccacbabcbcaacacabaaaabbccaababbcccbccccabcbcbbbbbbaabcbaabbacaacbaabccabbbaaaacaaabcbcabccaacababccbabccbcbaccabbabaccaabcabcbbbababbcaabccabbabccbcacabbcbbbbbcacbcbcacbbacbbbaacaccbabcacbbcabcbcacbccccbaaabacbabccccaccbbccabbbcbbcbabcbabbbcaabaaacacababcccbccccbcbbcabcaaccbaaaabcabccaaabccabccbbaccbbccbcbaaccacaaabbbbcbbbacaacaaacbbcbbbcacacacabbcbacacacabcacaccabbbabbbaccccbaaccccaacbbcbbaccaabccaabbccacccbcccbccbccbcbcbccbcbbcbbcaaababbcbbcbcbaccaccaabcabbabaabbaacabcbabbacaabcaccabacbccacbabcabbbacbccccacaaacbcacbbcbbbcbbbacacbcaaabcbababababbaaaabcabbbcabaccbcbbcabbbccacbcabbcbccbcccaaaccaaabccaaabcccbaaccbccacccbcaaacabacaaccaacacbbcacbabccacacbcbacacaccccaacaacaccbcbbaccaacaaabbbabcbccbababaaabcaacbababbbbcacbbcccaaaaccaaaacacbbbaaaaacbacaabcbacaacccacbcaccabbcccbbbcbbcacbbbbbcccccaaaabbaabaabaccbacbcccabcbaacbaaaabbabbccccaabbcbbacaccaccbcbcaabcccbbbabcbcababcbcbbbcbbbbaacabaacbbcaaaabbbbcaaaaabaaabbaacbcbcabbaaacabcaaccccacaaacbccaaabaaaabbccccbabbabccbbacbbaaaaaaaacccbcbbbaabbcbcaacaaaacaabaabbbaaabbbbaaacbaabcacacbabaabbacbbcbabcccabbcbabbabaccabcccccbbbcbbaacaacacbcabcaaabbcacaabaccccacacbbbbbbbbaaccbbbcabbacbbaababbacaccababaaaacbaaaaabcbbbccbbcacbbacaacabbbbacbababbcbcacbbaaccacbacaaccabcbcbccbacabcaaccaccaaabbabbbbccbcbaaccacbbacabbbbcccbacacbabbaccccaaacccccbcccbcaaabccccbabbcbcbcccabcaabbbabcbbacbabbcbccaccaabbbaaacbbccabcccbacababcbbbbccccbccaacbcbcbacaaabcababababcabacaaacacbbccccbcacbcbbacbccbbbababccbacabbabcbaaccbacbacabcabcacabacbcbaaababcabcbccbaaacccbabbcccbcabbcbaaccbcaabbbcccabaacbbabacccacacabcccbaaaabbabbcaaababbbbabbcabbbcabbccacabacccabacacabaaccbbbaabaabacbaccacbabaaccacbcacaacacbcabcbcaccccbcbcbbcbcbaccaabcbcacacbaccbccbbbbaacaccaacccaacabccbacababcacccbacbcabbaabbbabbcabaababcccbccbcbaaabccbbccbbbabcbcababbabbaababbbbcbccbaabaacbcaaccabcbbcbccbcbcbbacacbcabababbcbbcbccacacbbaaaabcbaaccccbabbcbbbcccaccbacbabaaaacbbbccbabccbcccaacbbccabbabccacacbbbaccccccbcbaaabcbbaabbbabbccccbbaaccaaacbbbbbcabbccacbcbacbcacbabcbbabcbaacccabaabcbaabbcccaabcaababcbbbbbcbcbbbbcbaababccbaaaababaaabcbbaaccbcbbcabccbccbcbaabbccccbabbcacbbacacabcabaaacbcbbcaaaacbbcbcbccaacbabbccbbaccacabccbcacaaccacbbcaaabbccccbcaccbbbbacaaacaaabbbaccbccbbabcbbcbabacacccbbcbaacaabccabbbababccabccccaccbbacbccbbccbabcbabbaacacabcabaacabbaccacbcacccaaacbbacbbcaaaaabbcbbcbabcbaaaabcacbcccccabacaabcbcacbcaabcbbcaaabbcbbbbaabcbaaabbaabccbacbcbaabccbacbbacacacbabbabccbbbaaccbaabcaababbcbaacabbccccccbabacbbcaabbbaabcbaacbbbbcbbcacacbbcbaabbabccaccaacaacbccbacccabbcaaaaacbbbbbbacbcababcbbbacabaababacaacbaababacaabcbabcaacacccabbbbbcacbabbbbbcbaaaabcacbcbccacbcbcacbcbbbaabbbccbcacbaabbbacacabbaabcccbcaaacaabccbcbcacaabacbcabaacaabbbbaaaacacbbccccbbbcabacbbacacacacbcaabbbacacabbcacbcabcaaaabccaccbcaaccaacbaaabbcbcaacbaaacbbccaacbbbcaccbbbccabbcccaabaababbacbcbacaacbaabccabccabaccacbcaacccbbabaabbaccaabcaaacabcabacaacbbbbbbbabaaccacabcccbcbacccacaacbcabcaacaccccbaabccaabbcccbcacaaccabaabbbbbababacbcbbbccaccbbabcacccbcbaaaaccbccbacacbccbccbabbcbaacbcaccccccccbbaaababacbcbbbbbabbbccaccaabbbccbcccabbbccbcaccaaacbaabbcccaaabacaccbbbbcaccbacccccaaacccbcbaaaccbacbcacbaabaaaabacabbaaaacbabababcccababaabaaabacacaacbbaacaaaacabcacbccccaccbaaaccbbbccacbbabaaccacabcaaababaabccbacabcccacccbbbaccbcbccbccacacbbbcabccaabcbacccacabaabbcacaabcbacacaaccacbccbcacabcacaababcbbccccaabaacccccacaacabccaabacbaaccbaccbabababbabaacbcababbacbbccbabbabbacabbaabaacbcaacbcbbbabcccbacabbaababcccaccccbcbcccabcabcbbabccbcbaaccbcabaaaacccaacbcbbaacccbbabacbcbbbaacbbcabacbcbaabccaccabcccabbabbbabacbacaccbcabaaacbaacbbabbabacbaccbbaaabaaabcacaaacbbbcbcbcbbcbcaaabcccbacbabaaccacbbccbbcbaccbccacbbcbaccccbcbaabbcbacbbbacccaaacacbaacabcbaabcacbbccabbbbabaabbbbbbbcaabbabbbbbabbbccaaabccaabaccbbabbcaabcacbbbabacbcbbacbbbaaabacbacacacaaabacaaacbcacbbcccaaacaaccccbaaccaabcbacccbaccabbbcacaacacbcaaabbcacbaccaaccaacccccaaacaccbaabababcbbbcacbbacaababaabccbcaccbcbbabcaaabbabcccccacabcacbccbbccabbabcccabbbaaabccaaacccbabcaccaacbcccbababaabaaccccccbbcbccbacaacccbabbabbbcbacbabaccbcbabccaaacaaaaccbcbaccacabbccaaababcaccbcbbaccaccacbaacabcccccbacbbbcbaabcccccaabbbcccccbcbcbcacaabbabcabaaaaaabcabbbbabccbabbcbacbaacacbbcbccbbcbbccccbbbccbabaaabcacbacbbbcaccaacbbbabccacbacbacaabbccbaccabacbaaabbaacbcbcbccacaacbbcbbababcbaabcbabbbcabbbbcbcbcabaaaabcaaacbcccbbaabacabcaacccaccbcbbbacbbbcbaabbabaccccacaacbbaabaaacbcaaaacacbacbccbbacbabbccacabaababbaaaccbbbacbabbaacabbacbcabcbbcaabcbbabcccbaaaabbacaabacaacbbcaaaaaacabababcaaccababbbacbababcbbaccbaccababcccbbbcacbaabcccbaaaaabccbbbbcbcbacbabaaccccccccccbbaabbcbaacbaacccbcabaaabccccccbcbbabccbbbaaabbbaacccababacaaaaacbcccbcaccaaabbacabbacacacbcbcbbbaaccbaababcaababaaababcabbccbbbbccccabbbaaaaacbabacbbbbbbbbccbbcaabacbbbccbccbcccaacabcbccaccbbaabbbcbbbacabcbbaaaabcaacccbbcabccbcabcbaaccbacacbbabacbbbcabbaccbccacbaaaaacbabbcabbcacbbbbcacbbccacabaacaaabbaaacbaaacbbacbcabbbaccbbacabbacaccaaaaabbacaccabbccccbcacbaabbabbccbacaccbabccaacaacabbaacccaccacbcbcbaccaaaccbbacbcabaccaabcccabcabbbcbbaaabcbbcbababcacaacaaababaccbbaaacbcacbabbaaacbccaccbccbcbcccababaaaacaabacbacaaccccbabbaacbbccbbccacbcaaacbbaaababaccabbccbbababcccbcccbaccbbacbaacabacabcbcbcaacbbcbccbaabccaccbacccaabccbbcaaaccbcabbbcbcabaaaacabbabbabccbccabcccbbacaaaacacbcbacbaacbcabcbbcabbbccccabccabbaccbaccbbcbbbaccccacabcbcbbaaaccbccbabaaaccaccbcccbacaaaabacbabbbbbacccbbbcbcbacaabcaaaabbcaccbbcbaabaaabcbcaabbbaccaacccbbacacbcabcabccabcccbcbacabcaacaacabcbacbbcccacababcbaaacaabccabcaabaaccbabcbbaaabccccbbbcbbaacabcaccaacbcaacbccacababcbbabbbbcbccbacaccacabbcaacccaacaccabcbbcacccacbaabaaababacacaccccccabbaccbcbcacaabbcbccbacbbacacbccababcbaabcacbbbccbcccaacccacaccacaaaababaabacaabbabbaacabacabaaccaacbaccbbbacbabcbbacacabbbccacbabcacacaaacabbbccbbbaaabcbacbaacbaaaccbbabbcabcaaabbacacccabbabbaccccabcabcbbacbbcbabcbcaaaaaacaacacbaababababcaaccabacaacaaabbbacbabbbabbcbcbbacccbacccaaacbacbcbbbabccaabbacbabacbcabacbccacacbcacacccbaabccbbcccaaabaaaccaacabccbbbbabccaabcaccbbbcbabbbcccbbaabbacbccbbccaaacaaaacbcccccbabccbabbaabaabbaaaaaabaaaccacccbacaccccbaacbbbcbbcaaacaacaabababaaacccbbacbccaabccabababbaaacbcbbbbabaaccbabbcccbcabccbbbaaaaccbacbccabbbcabaabcccbbaacbcbaabbbcbacbcabccaacacaabbaaabcaacbaaaaacccacaacabcaabaabaccaaccacccbbccabbabbbbaacabccccacacccaabbaabaaabbababbbbbbacbaaaabbbcaacbbaacbcacbcbcccbbbababaccccaacaabbaaabbbbbbcbaaaccbaabababacbbaacabaabbaacaabcaaccbcabbaabccbaaabaabacbacbccccbabaccabbacacbccbbcbbcccbaccabcacbbccaaccaabccbcabcaaaaaabacbbaccababbcbcaaaaaabbbbbbccbabcabacaababaabcbcabbcccccaacabaabacabcabbbaaabbcaacbccccaccbbbbbacacbccbbbbbbbbacccaaccbabacaaabbcacbccbacbacabcaccbcbacacaabacbcbbaabbbbcbacabbbabaccbbaccbbabcacacacaababcccabaaabbababcbbccabacabbcccccaabccbbbbcbaacccbaacabbabccacabcabcaabacbbcaabbcccaccababbabbacabcbbccccabaaccacabcbccbbacbacacbabcbaccbbaaaacbbbacccbbcaaabbacaccaacbcacabaaacbbbaacbbaacabbcaabacacacccbabbbbaaaabbbaccbaacbbabbabcababbcccbbbccaabbcbbcbaabbabcbbbcbcbacacbcbbcbcbcacbccbcbaaaccbabbccbaccbcabccbaabaccccbabacaaaaaabbccababacbbbbbaccbaaccacacccbbbbabbcabcaabcbbbcaccacbacbaccabcbbbbaacbbcabcaaaabbbbaabcccbcaccaccaccacaaaabbacbbbabccccabcabbaacacabbbbbbaabbccbbacccbbccaaccbabaccbcbbbaacbabcbaababbaccaaacbbcaaababbbaacaaabcbbcaacabbaabcaccbcccaacbcacbbcaaaaabccbcbabaccaccabcbcbabaabacabccbbaacbbbbcccaccbcbabcabbbbbabaabcacccbbccbcacaaccacbcaccabcbbabbaccbccbbcbaccbcbabbabbaccabcacaccaacabccbaacbcbbacbacacacbabacbbabbbaccaaccacbbbbbccababacbaabaacccbcbbabacacbaaaacbaaaabcbaabcaacababababaacbbbabcabccabcbccbabaaabacaaabacbbcccbbcaaccbcaacbcaabbccacbacabbccacccbaccbcbaacbbbcacbcabbbbacbcccbccabcaabababababccbcccbcabccacacccaaaacacacacaaacacaabacbcccbccbbaacbbaccbbaaaacabbabbccbacbcacbabcbacbbcccacabaccbacaccacbbbcbcaaacacccbcbccbbbbcabacabbcabcacabaccccababbccabbaccacacbacccaabcbbaccccccbbbcacccbcaabacbabbbcaabbaaabcbcabbbaccaccbccaaaaaaacaaccccaccbbcbaccaccbabbabccbccaacbbcaccacbbcabaaacacbaabcbaccaaabacbccacacababbabbcacabcbacbcccccacaaacccbbcabaaabacaccabbccccbabbaababccbacbacbaacbbcacbabcabcabccbcaaaabcbbcabbbaacbbccabbcaacbcbabbaabbcaaccbcbbcababbbbacaaaaccabbabacabbbbcbccaabaccbacaabcbccbcbaaaaaacbcbcbbcaabbbccabccaacbccbccacbacabaaccccbcccaaaaaaccaababcaabbcbbbcbcccaabbacacccbaacccaacbcccabbccbcabaacaacaabaabbaabaabbbbbcccabbacacccbaccacabbbcbbaabccbcccbccaacccbcbbcbbbbaabcbcccccbbacccbacaaccaacaccaaccbbbabcabacbbbbcbbbababcaabbcbcbbccababacabbbcabcbabbccaaacbbcbacbabcababccccbabbbbacbacaaacbaabbbccbaabbcbcbccabcaccabbaccbcccabbbaaaaaccabbbcaabcbccaaabcbcaabcbcbbaabbcbccbcbcabcbbcbccbbbbbbaacaaaaaaacbaabbaaaacbcbcacbbcacaacbbcccbbbacbaabccbbbbaaaabccacbbabcbbcbabbcbcaccbcaacacabbaccacbacbaaabcaabacbcbbaaabacbbcbcbaaaccccbabcbbcacbcabacababaccbacbcbcccbbaacaccaaaabaabacabcbaabbabbabbaabcccacacaaacaacabcbbbaccaacccaabbbbaabbaabcbcbbcbcbcabbaaaabbbcbabbbcbbbacccaaaccaaccaaabcaaaabbaababbabcbbbabcbaaaabcbcacbcaabcacbbcbccbbccccbacacbabaaabbbbabcbaacccaccacccbaabccaaaaaabbaccccccaacbabcabbbcbbcbaabcbbaabbccacbaaacbccabccccaabcbbccbcbababcacccbabbabbcbabcaaababaaccbbbcacabacbcaccbbccaaabbabaabcccaccacaccbaaabaaaaacabaacbacbbcbacacbccbaabbacbaaccababcaaaabcaaaabcabbccbcbbbabbacacbbbbaaacbbccaccccaabcaaaacacbaaaccccaacacbbbcbaacbccbbbbacacccabaaabcbccaacacbcbcbccacaacccaabcbaaaaaacbccbaaaacaabcabaaccbcbaaacacccccaacabbbccbaaacbbbabaaacccbcbaccaacabcbcbbaaaccccaccccbacaacacaaaaccbcacbbacbcccccacbabbbcbbabcccbaabcacbccaabbccbacbaaaccccccabbbccbabccabbbcaaabbbabbbaccbababbbcabaabacacccaabacacabcbbacbbaccbcccacaabccabbabacbaaacabbcccbbccbaaabcccbccbbbabcacaaabcacabcbabcacaaabbabacbbbbcbbbbaaaaccbccabccbaaabbbbcbcaaaaabaaaabababaccbbccbabcbbcbbbcabacabcaabbcaccccabbbaaababaccbbccbbcaccabbcaccabacbbbcacbabbbcccbcccacaacccbcaabacaabbabcacbacbcbaaacaccccbacbbcabbaabaaccbcaacaaacbbaccbacbbbbcaabbacbacbaabcbababbaabbcabacbaccccabaabaaacccaabbccacabbccabacbccaccbbcbccbbaaaccbabcbaaacbbbbbcabcacbcacabaabbcbbabbbcaacbcccabbccabcbcbbacabbacabbacbaabbbccbabaccbbbacbccbbcbaabcabbacabbbbcbcbabaaaacabcacbaacccccbbbabaccababcbaabcaacaabaccbcbbacbcbcbccaabbbbaabbcaaccbcbaacbcbbbaabcabbcbcbbcbbaabbccbaccaaacbbcbabcccbaabbabcbcbbccacbbcbabaacccbbbbccabababbcabbacaaccacccbbacccabcbbcacbabbccacbbabcabaaccbbcbcbbcabccabaaaabcbbcbcbccccaabcbabacbbcbbbcbcbbbbbacabccaabbcbbcaaacabcbaabaccabaccbbbaccabaabccacbbcbbbabacbababbcccbcbbbacbabbcababcaaaacbacccbcaaabbbabcbacacabcacabbcabbcbcbaacaacbcbabbbaaaacbabcbaacbbbccccabbaacaaacacaababaabbccccbcabacccaaacccbbacacccbccabcaacabcacbbbaccaaaabaaacaccabcbccccaccaabcacabccbbacbaccacababababbaaaccccbccbaabcabaaabababccbabbaacacccaabcbcbcacccbacacbbbbaccbccaaccaacaabbacbaabbcaacbcacbaabcbbaabaaccbaaccacbbbbcccbaacaccababbbbbbbbbbcbcabbacacabcbcccacbbacbabaaacccabcacccacbaaaccbaccaabcabbcabbabcccaaccaaacccabacabbcbbaccbcbacccbccaaacccacccccaaabbbcbabbbacacbabbcbabcbacaacbbbbcbacbaccbbaacabcacaabccbcabcaabbcbabbaabbacaabbccacbbccabbcabbbcbbabbcbbbbaaacaccaacacbaaccbcaccacbbacbccbccabaabbccbcbaabbaacaaacbabbbccaaabcbcbcbabaaabbbbbbbbcccabcbcbabcabcabbccbbbabbacccbccbcbcacbcbacbbbcbcbaaaabcbccaaabbbaccbabbcbabbbcabaaaccccaaaacacaccbcbbabcbcbbcbcbacacaaccbaccaaaacabaabcbcabbbbaaacacaabbaabccbbaccaabcaacbcabbcbbbcccbccbcaccabbcbcccbccaacccbaacbacbaaacacaaacaabbaccabcbabbacabaacabccbcbcabccbacbaacacccbcbcaabaccbccbbacbcacacacaabcbcacccbbaabcbcabbccabacccbbaaacacabbcbacbacbccbcababaaccbababcaaabcaabaacbacabcaaabbccababbbaccbacaaccaabcbbbcbcbaabacabbaabcbacaccbbcbcacccbbcacacccbbacaacccbabcbcbaabbbbacaabccbbbaccababbcacaaabbbccbcaacabbbcacabbaaacaccbcabbaacbbbcacccccacacbbabacacaaaacabcacbaacabbababcabbaaacacacaacaccccccaaacccbaabacaabcaabacccabbabbbaccbbbcbbabaabbbabcccccbcccbbbabbcababaccaaacbcbcbabbcababaaabcbbcbcabcacaaaaabcabaacaccccbbabcaabababccabcbabbccabaabacababccbaccacaacbaaabbbcbcaabccabcacacbaabbababbbcacbababbabbccbbcbbcbbbacbbabcbcaabbcbcaccacbccbbcaaccabbbacaaaabcacacbbbbbcbccbcccbacccbcacbbbbcbabbbabbbbaaaacacbccccbaaabcaccacbcbcabacacacacaabbcbbabaacbcabbcbbccbbbbbaabbbccaaccbabacbcacccbacbbbbaabbbccabacbbabcccabccbcabcacaabccaaaabbaabbaccbbacaaccbcabcbbabbccacbccbabaaabaabbabaacbaaacbcabaabbcacbabcbbaacacbbbbbabbabccacbcaaabaccbcbaaccacccccbbabacabbbacaacacacbaacaacabcaaacbbabccaaaaabcaabcacababaaacbbaacaacbcbabcbaaabccacaaacabacbcbcbbcacbabaacaabbaccccaabcbccacbcaccbcbbbbabaaabbaacccbccbaacbbbbbccabacbbcbcaabbcbbabbabaacbbcbbcacbcabcacabbabbcccbbcbacbbcbacbcbcbabcbacbaacaacccbcacbacabbacbaabcccbabccbbbaabbbabcbcbcaccbccccabbbbcbbbccbabaacaabcbcbccaacaaacaaabbcccaabbbbaacabcaccbbbabaacbcabbaaaacabaccbaccccbabbbbccccccbabaccbcacbabcacbbbcbccababbabccaaaacccbabaacbccccbaccaaaaabbbcbcbaccbbcabbbbbbbabcbcbccacbabbcaabcaccaabbbababcbcacaacabcccaabbababcbacccbabaaccbbbccccbcccbccacaabbabbbcaabbbbbacaabbabccccbcbacbbbcbabbbcccbcababacbaaaaaabcaaaabccbacbacbabcccccbaaccbcabcacaabbcbbaacacbacbcacbcccbbccaccacaaacbaabcaacaabacbaabacbcbaccccacbbacaacacbbccbbaabcaacbcaaabaabbaababcccaaacbbbbbaccabbbcbacbbaaacbcbbaacacaaaabbaaacbcaaccaaabbabcacaabaccbbabcabcbbabbbccabaaacacbccabaccbbccacaaccabccacaaabcaabbcccccacccacccccbacbbbcbcaccbcbbaacbbcbbbbacabcbacbbccbabaaaaccbcccccbbbbaabbbaababbcabbcbcaababaabcabccacaaccaacccaabbaacbbaccabcccacccabaacbcaaababbabaccbabcbaaccacbacbcccacacbaccbcaabaacbaaabcbabcbbcaaaccacbbbabccabacacabccbbccaabcaabbabbcbaaacabaaccbcacacacabaaacaccacccbaacccacbbaccacbaaaaabcaacbbbbaccaaaaaacbbcbbbcaacabaacbcbbbabbbbcabcbbabbbbccbbbabacbabbabcababcbcacbcabcbbccbcaaaaabccbabacccaacccabbacabbcbcaaacabcabbcbacaacbcbbabbbacaabcbbcbaaaacbabcacbbbabbabbbcccbcbaabcacbcaccaabcbaaabbbabccaabbabcacacabaccccbbcabcaacbabbbaacbcabccacbcabcbcababcaacccbbcaabbccabbccbacacbbaaabcccbbacacccbbcacbcacbbaabbcbbcabbaaabbbaababacbacbcbbabbacbacaabbbaaababcaaacbcacbbcaacabacbacaabccccabcccbacaaccbacbaacbaaababbcbbcccbcbabcbabacacaababacaaccbcbabbabcabcacaabaabbccbbbcacaabaccbbccabcbaacacababcacccbabbacaccbbacbabaaaaaacccbcccbcabbbaacbcccaaabcaabbaabbbcaacbcbcbcacaccabcabbbbcccabaccaabcacabbcabacbbbacaccbcccbccaaaaacaacccbbccbcbabbbaccbcacbbacaacbcbcaaccacbbaacbacccaabcbaabacbcacbcaaccaccccacccaacabbacaabbaabbbbbbcacccacacacabbbabbcbaabcbabbcbaabaabaccacbabbcbcccccaacaaaaacaabcaabaacabbacabccabaaaaabacbbbbabcbbcbabcbacaabababccbbbacbabccbccabacbbbaacacbbcaaacbaacbaccacccbcaaaaacbbcbcacabbaaccacccaabacaabbabcaccbbccbccbbbcacaccbccbbcccabcbcaccaabacccababcbbaccaacbbacccbaabaaccaabcabcbbaaacbacbabcacbababaccabcbcabbaaabcbcbbabcabcacbcbacbccacbabaabcbaccccacaacbaaabcabcaabacccacabbcaaaccaaccaacbbccccaaacacccabacaccbaacaaabbbaabbbaaacacaabacccaabbbaacbbcccbccaabbabbcbcbbbccbcbbccaaacabccbaccbcaacccaaccaabaaccacbacacbabacbbabcbaccabaaaabbaacacbcbbaabccccbcacccabcacbccbcbabaaccccbcacbcbbaaaaabbabcacccbcaccabaaabcabcbabbcaacccacbbbcbbcaaccaacccccaabbaacacaccbbcababcbbabccbbaacbbabbbccbcabcacaacaccbabcbcbbcacbaccacaccbbccaaccabcccacacaaacabbcbbbcbcbcbaccabcbcacaabbbaacccccaaacbbacabccbcbabbcbbcbccacbaaccaabababacbcbacabbccacbbbacbaaaccaccbaccbabbcccbcabbcacbaabbbbcbcbcbbaacbbcbbaccaacabaacccaaacacacabcabbbabbacbcabbcbccabcaaaabcbcbaacacabbabcbabaaabcbcbaaacccbaaaaaacccbaaaaacabbabbbabccbabcbcbbacacbacabbbbcbcabbabcbcabaaaabaabcccbccaabbccacbabbabacbcbaccaabbbbabcabcbcbcbbccaccabaaabacaaabcabaabcbaccccaabccaabccccbcbccaabbaccabacccacbcaccabaabbccbcacbccabaabccbbaccbbabaabcaabcbcbbcaabbbaabbabaabcabcbcbabacbaaacaaccbcbccbbbccbbcbbababbcabcbaaaabbbaaabcaaaaaabcbbbbbccbcbbbcaccbacbaacbcbcbbbbcaabcaaacbbcbabbcbcaaaaacacbaccccbacabccbccabaaaabbbaaccabbcccbcababbccbbbaccbcccbabcbccabbbbacabaababacccbcaacccbcccacccbcbbcabccbaaabaacbabccccabcbabbcaababcccaacbccabcaacbaabaabbbaacbbccaccaccbbccaabbcabababcbcbacbcbccababbbcccbabaacaababbcbbabaccaaaaacaccacbccbbabcabaacccacccbcaaaaabbccccccacaaccbcaabcabccacbbaabccababbbbbabaaaaccccccaacacabbbcacaccbababacccbbabbababbaacaaaccaacaccbcacccbcabacbbaababbcbbaaabbcbcbcababacababccbabcaccaacbcbababbcbbaccbbaacaacabccbaaaaaabaacbcabccaabbabccbbbcbbabccbbacacbbbabababcbbcbcccabaaacaaccbcbbbacaaaabacbcccacabbacbcaaacabaacbacbaccbcaaaaacabbbaacaabcccaccaacbccbabbaabaabcaabcaabbabacccabacbbcacaccabbbcacccaacbabcbacccaaccaaccabaaccbabaaabacacaaacabcaacbbabcccaabbcaacaaccbaccbcccbaacabbbaaabbbacbccbbccbcccbabbbaabcbbcbbacbcbbcbccaaaacbbccbcccabbcbbcababcbcbbbccbbabbbbbacacacbbaaacabccacbcbaaacbbbbcabccbccabcbbccbcacaabcabcabababcabcccabbccbbaabbababcbbbccabcbcabbcababaacccaaccbacccaaacbabaccabcacacccacaabcbbbaccacababacbbcbbbabbabaccaacabcabacabbacbbbabccbcbccaabccbbacaabbbbbcbabbabaabaaccbbcabcaaccbbccacbccaaccabbbbacaacbccbcacaaaaaabbcbbcacbabbabbaabacbcbbcaaaababacacacaaacabbaacacacbbbabcaacaacaababacbbaabcccacbaccacacbcabcbabbaacaacbbaabbabacbacccbcbbbbccbccaabaacbacaabcbbcbbbcacabaabccbaaabaccaccaaacaaabacbaaccacabacbbabaaaccabababbcbbcccccacbbacbccaacbabbcaacbbbbabcccacbbcabcabbbccaacbaacbbcaaabbacaacbbccaacccccacaaaaaccacacaaaaaababcbacbbbacacbaacbabaacbcacaabbccccbacbacaaaababbbcabaaabbcaacaabcaacbbccacabababbaaacbbaababbcabbcaababbbbaaccbbabccbaccabacabbccacaccabbacbcacbcaacaaaaccbacaacacaacbacbaabaabcaaabaaabbcbbccbabbbcbaccacccccccbccbcbaabbccaaaaaccacacbabaaacabbcbccbcbaaacbbccacaabaaacbbcaccbcacacbccabcacbbabaccccabccbcabaaabaccbbbbabcbcbcacaaccbcccabbcccaaccccccaccaaccbbaccaaaaccaabbbaaaaccbccbccbccccbbbbacbabcbcbbcccbbbacbcbccccacbccbcaacccccbcccccabcccbaabbbacbaacbabbabacbacacaaabcbccbccccbbbbbcacacbabbbaabcbbccccabbccabbbbaabbccbacbbccacccacaaaabbbbaacaaaacbbbacacbcaaacbcbcccacaabccbbabbacabacabcbababbababacbaacabbccacaabcccbabcabbabaaccccaacbaccbaacbcccabacacbbbbccabaabababbabbbbccbbcaaccaacaacbbcabccbacabaababbccbbbabbcbcbaaaacbbcabccabbcbccbaababbbbcaabbcbacaccccaaabaaacbccccbccccbccbccabcacacbbaaaabaaabbccabbacbcacbbaccaacbbcccaacaabcbbaccaacbbaccbbabbcaabcbccbcbacabaacaaaaabbcbbaabcbbabaaaccbaacaaabcbbbbbcbbacbcbbbaaabaccbbcbaccbcacbcaacbccabaabaacbaaacacccbcacbaabaabbaaacacabaaabcacbcacbbcabbacabaabbcbbabccaaabbbaaacaabbbacbbaabacbcabbaccbaccbbacacabcccabababccbcbabcabaacbbbcaaccbbcbccaaabaccccbbcbbcacabaacabcabbbcbacabaaccabcbaaccabbbbacbbaaabbcbbbabccbcacaaccabbcabcbcccbbcabaccccccccbabaaccaacaacaaaccccbcbabccccbabcccbbbcbcccbbccaccccaabcbabcbabbabaabbabbbbcccbacaaaccabaaacaccbcaaacbbbbcccacbaaaacbbcabbcbbbbccccbabcacbcacabcaaaabbaaaaaabcccbcccbcccbccaccaacababacbaacccbbcaaccbaaccbbccbcccabbbabbbcbcaacbbbbbaacbcbabccaccbbccbbbbcbbcbaaaccabacabcbabcbacacbaaccaaabbcccbcbaabaccbcacccaaacbabccbbacbcabaccbccabbbcaacbcbaacabcccbaacccbccccccbaccabcbbcbaccccbcccbababacabccbababbaccbbcccbaabbbccbaccbbbbacccccbccbbbaaaccacbbbbbbbccaabcabccabaaaccbbbcbaacbbcacccaaabaaabcbabbabacacacccaacbaacaacaacbbcaaaabcccbabbabccccbaccacaacbbbbbabbcbccacbcabccacaccbaccccbbabccbcbcccaacababcabbccaccacbbbccababcbbaccccbcbcccbabbbbcbbbcacbcaccbaccaabacabaccaacccbacababcacccabbcacccccababcbaababccbcccaaacacbabaabcaacaccbbaabbaabbcaccaccbcbaccacacbbaacbbaabbabcbbcaccccabcaabbccbbcbbbcbccabacabbbcbabcbaacababcbbcabbcbcabbaaccacabbbabcbbabbacbacacbcacabaabbaacbaabbaacaabaacbbbcbbaaaccbabbacabbbcaaccaccbaccbbcbaccbbbbccccaccbbacacbabbbacccaaccbacbcbaabcaaccbcabcaaaaacabbcbcbbbcbbccbbabacabcaacaabbbbbcbaaaabbcaabbbaccbbbbacaabacabbcbcbccbbbcccabaccbccaacbabbcbcbcabbbbcbaaccbbcacaabbbbaabaccccaccbcbccbbaacccabcaaabbbbaccbacccbaaabaccbacaaaacabacaaaaaacabbbcaaaabbbcbcbbbcacccbacaabbbbcaaaaaabcccababbcccbbcacaabbbbbbacbcaabacccbbccbaacacbcbbcabcbbbaacbbbbbcacacaababbaccacccbbbccbabbaccccbbcabcbcaacabacbaacacccbacaabbbbbacbbcbabbcabcbabbccacbaacbcacbbbbabbbbabbcccabbbcbcccbcccabaaccabbbbcbaacaaacbabcbabbbbccbaccbcaccabbbcbcbaacbbaabcabacbbacbaabbbcacbacccccccabbabaaaaaaccaacaaaaaccbcbccbacccbbaccbcaacbcbcbcbcacbcbccacbccccbcaabcbccbbacbaacabcccbbbacababbabcabbbabcbabcaaabaabacaaacbabcaccbcbaccabbbccbcbcbabccbbbacabaacabaccccabcbbccbababaabacaabcbbbbbbbcabacbacabaccaaccabacacaaacabbcaaccabbaccabcababcacbcbabcbcabccbabccababcccaacbcacbbabbaaaaacbaababbabcabcabbacbccbbabacbacbaccacbbaaacaabcbbcaccbbacccbacbbbccacbabbbcbaccbcbcbbbabbaaccaaacbcbbcbaccbaccaabcbcacababcacaacaaaaccaccbacbababcabcacacccabbcbbbcbcbccbbacacaaaabaabbccacacbbaaaaabacbcbcbacbaccbbabccaacacbccacaabbccccbcbabbcaaabaaaabaaaccbaccbacccaabbbbccabbacbccacababbcacbbcaacacccccbbcbabbaababaaccbbabbbcbbaabbbbacabcacbbccbbaacccaabbcaacccbbaccbcababcaaacaaabbcabaaaccbabbbcbaacbccccbbcbabcbbaacbcbabaccabaaccaccbcacbbccabcccbccbcacabcbbacbabacabacbaacabcbcbbaacccbbcbcbcbcaabbbbccabcaacbccbabbccabacbacbcbbcccabaaabbbbbbbcbbbbbabcabaccabbcacbabbacbacbccccbcbbbabaaaacbcacccaaabbcaaacccaccbabcaaaaabbcbccccccabcabcabaaaaabacbcbacabbcbcbccccbbcccaabccccbcbacbbcaacbbaabcaabaaabbbaacccabaaccbacabbaccacbbaacaabbcabbcbabaaccbbaabccacbaabcccacaaaabbcaabbbacacbacbcbbccbcaaabcabbbabaaaccabbbaaacccaacabcccabacacabbabaacabababbbccbbcbaacccaacbacacbcbbbbccbaabbacbabcaacccccaabaccabbabcbbbacaaaacabbcaababacbcacaabaaacccbbcbccaaababbbbbbbacacaaabbacababcbabbbcccaaacacacccacbbabacbccbbbbccacccbabbcaabbbcaaacbbaccacbbbacbbccacaacbcaacbaccaacabacbccbbacacbccbacbcaabbcbacccacabbcababbcacaabbabbbbaaccbacacaabaaabaaccccabacabcaaabacccbabccabcacabccbbabccababcbcbcaabbbabcccccccccbcbcaccbbbbcabaccaaacacabbababcbabacacbcbcaacbbbbabababaabcccbacbbccccbaababbaabcbcbcbbbaacaabbbcbcccbbacacabcbbabbaccababacaacbcbaccaaaaacbacabaaacbcacaccbacbcacbccaabbcbabaccbaabacbacbbcacabbbacaabcaacbabaaabbbcccabcacbaccacbabbccacccacacbbbcbbccbbbbabacabccacccbcbabcbacbbbcbcacccbacaaccacbababacbababaabccccccbabcabcbabaaabbbaccbbccacaaabcababacbbabaaacccccaaacabbabcbccaaabaaccaabbabbabbcbaaabaaaccbbccaacccbcaabaccaabbbbabaccacbcabccbacbcabcbabccccccabbcbccbbccbacccaccabcaabcbcbbcaccbabacbbacaaabcacbcbbcbaccabaccbcbaccbbabcbacbbccccbaabcbbbbaaaabcabacbaaacabcabcaccbabbaacbbcaccccbbcabccbbcaccbaaccccbacabccacccbcabcccabbaccbcaabccbbbcccaccbcccaccccccaacbbbbaccaaabcababcabcaccacaccbcabbaacccbaacacbaaccacababbabbcbabbcacbbacbcbbcaabccbabbbaaccbaaacbbacabbabacaabccbacbbaaabccbbccccabbbbaccbaabaabccaabaaaabbcbcabbccabaabccaccaccacacaaabbacabbbcbabbbabbaacacbbbcacbbbbacabbaccbabbacacccaaacaacccacaabccaabbaacbacccabccbabcacaacbbcbbaabbcacbcabbccbcbccbacbaabaabcabbabaaabbaaaccbccbaaabcccbbbaccacccbccbcacabaccbbbcabbbbbcabaaabbaabbaccccaccacaaacbcacccccbabaabbaacacccaabcbccbaabbababbbcacaacccbcacabbaaaabbcbcaccbcaaccccccbcabaacbcccaaaabccacbbaccaabbbbabcaacbbcbcccaacaaaabbbcccacbccbbabbabbbbaacbcabccccccbcaabbbacaaabbacbaacbbabcbbcbbbaccabaabcabacbbbbcbcbbacbbccbcaabcaacababaccabccacaccaccbabbcbbababcabccaccaccccbbaccbbbcaccacbacbccbbcabccacaabccabcccabacaabcbacbbbbbaabbcccbabcbabbabcaacaababcbccbabcbcacbacacaccbaaccbcbccbcbbccbabccacbccaacacbbacabbbbacbbbcaccbacaaabacbabccccccccbacccaaaacbcacbbbbbbaaccbacabaabaabcbcaaabbacbcbbbbcabccaccaacbbbcabbabbcaccabbcbccbababcccaacbcaabcbaccbbabbacabbcbaababbbabcaccbaacabaabbccabcbababbaabaccacbcbaabaabbcbbabbabbabaaabbabbccacacbcabcccbccbbaaccbcaccccabccbcbbacaaabbbbaaaacacbcbacbbaccabcacbccaaacccbacccacaccabcbaabaabaabcbabcaaccccacccaabaaaaccaccbbccbacabcacabaacaabaababbbbbcabbaabcbbbabbaaacbcbbaabcaccbcbcccbabaacbcccabcccbcbcacaaccabcbcbabbbcabbbcaaaacbbbababbcaabaacccabbacccaacccccbbaaaabaaababccbbcbabcabbbabbabbcbcccacbabbbccacaccbaaccacabbbcccbabcaacaacacbaacbbbbabbbbaacacacccbbcbcbaabbaccccaacbcabbbbabacbbbabcabbbabcbaacaccbbacabcccbaaaccabbaaccbbacacabccacbabaccaacbaaaaabccbbaaccbcbbbbbcbbbaaccaacbbabcaccacaabbaacccbcbccacbabcbbbbabbcbcbbbaaabababbbbbbcbababcbbaccbbccaabaaabababaccbabaacbcaacbaabcaacaababcbaaacbabaaccbccbbcabbbccbcabcbabccabcbababcbbcabcccbbcacabacbcacbaaababbcabacbbccaacccaabacbacbaacabbcacaccbacbbcbaaccaccaaabbabbacbaacbaccabbacaccaaccbbcbbacbbaccacaaaccccccbccaabcbcabcababbcbbcbcaccbacccbbbaacbbacabcababbcaaababcabccbccaaabcbccbccbbccccccbaaaaccbbcabccbccabbccabaccaccabbabaacaabbbabaababbabcbbcbbbaccaacbabcbcabbbbbcaacbcabbababbbcaccbbbbcababaccacbcbbabaabbbabccbbbbacaccbccabbabacabcaaccccbbbaaaacbccaabbbbccabbcaacacaacabacababbbccbccbaccaaaccbbaabcbbcbbbabbbabcccabcbbcabcaaabcccacabccbabaccbbcbbbaccabcbababababaabcbcaabaaaaacabbbbaccccbabcaabaccacbbccaccbbcaccbbababbaccaccaccbbbcacaabbcbcccacbbbacbcacbacacacacccacabbbccbcbabacaaccacbaaabbcaacababacbacbacaccbccbcacabacaacabbcaaacaccbabcabcacaccbbabcbbcbbbcccabaaacbbcaabbccbbcacbcbacabcccbacbccbbbabbcccacaccbaccbbcbccbbcacaabcbbbbaccacbabbcbacaacbccabbabcbababbbbabbbcccababbaabcccacbabaacbaccbcbcabccccabbabcaccaabcaacbababaabbabcbaabaabcbccacbbccccbcbbcccaabcbaccacacabbbbaacaccccaacccbbcbcabcbacccbaaccbbbbaaaabccabaccabccabacbabacbaacaaccbaacccbaaccaaacccaaccbabbcabbbaabacbaaacbcbccbbcaaccababbacacaacbbbbbaaabaaacccaababbcbabcabcbcabaaaaabcabccabbaaababbbaacbbabaabacaaaaabaaacabbbabbbbbcabbbabbcabcccaabccacbcabbabaabcacbbcaacbacbbcabacaababbcaabbbbabbbccbabcaaabbcaaacbcaaacabbcbbacaababbcbaaaaaccacbabbbbbbcbbaacbbcccbacbbcbaaaaabcbcabaaabaabcbaacbccccbaacabbabbccacaabbaaaabccacabaaacaacccbbbccacbaaabaacaabcbbabbbbccbbbbcacbabacacbccbcbbcbbcbcccccbcbaccbcbcbcccbbcbababcccbbacbcaaacabaaacccbacbbcbabcabaabcbbcbaabbcbcbcabbbccaacacabbcabaccacaccccacbcbccbaaaaacccbbbccbcbcaacabaabbaacaaccbaabbcbccccabcbaccccbabacbacabcabbccaacbbcaababcbbccabbaabcbccccbcbaaabbcccbaacccabacbacbbaccbababacbcbacabaccbcbccccaabaccabaccabbcbcbcbabababbbccccacabbbcabbccabbbbcabccbacbaacbccabccabcbbabcbaacaaacacabbbaabbacbacbabbcaabbbbabacabbbcbccbcbcaababbbaacacbabccccbbbcaabaaabbcbbccbacbcabbbcacabbacaabbabccabbccababacbabbacabaabacaabaaaababcacbbcaaabbacacbcabcbcccaaacababacccabbbbccabbabbcaacbbccbbccbacbcbbcabccabcacacccbbbaabbcabccbbcbaacaccbccacacbacbcccbbacbaabccabacacbbbabbabcacaccccbbabcbccbbbcaaacbcabcaaacaaaabacabcbaccbbabbababcbccacbbbcacaaaaaabcbacbcbcbabcacbaabacaacabaaabaaccbabacabaccbccabcbabbcaccbaacaacaaabcbcabccbbcbbaacbcaacaacabcaacacbaabaaccbbcccaabbabbcbacacaacbaaacccbbbbaacbbccaabcabacaaacabaaabbbccbbaaccbabccabbcbbcacaccbcaabcacacaccbbbabbcabbcabaccabccbbaaabbcaabbcabaacacbcacbcaaaaacacaacbcacabbcbbcaacbccabcbbbabaccbbcccbcababcabbcacabcbaacbcacacbabbccbcbcabbbbcacbacbcbbcaabcbbcbcacabcabaacbcacabacaacacbabbcbacaabbbaaacbbaabcbcabaabbcbaccabbcccbcccbccbcabaaabcbcbcbbaaabbcaaabbacbacabaabbbcbabcabbcaaaaccbbbaabbabaacabaabababacbcabababbcbccaccbaabacacacaaabcabbacaccbbcbbacaccccbbbacaacbcabcacbcbcbaccacaabccccbccbcacbacabcbbabcacbabbcbbacbbcaacbbbcacbabaccacbaabbbbbbbbcbacabacaaccacabaaaccbbbbbbbccbabbbbccbcccbbacbbbccabbbaaabaccbcccacbacbbccccaacabbaccbacabaabbbccbcacaaccbacaaabaacccccccaaaabbcbbbcaacbabacaacaacaacbabcbbbccaabccbacbcbcccbcbccbcccbaabcbccbbcbbcbbccbbcaacbccacbabcccbcababacccccccbbaababccbcbbbaaabccacbbbabcacbcaaccbcbacaccaaabacbbbcbaaaaacccacabacbcaabcbbbaaacaccaaabcbacbbbcbabccabacbabccbacaaabbccbcbbaacccbccbabcccbbcccccabacbabbbbcbccbaccbbbccabcbcbcabaabcacbabacaacacbcbcbaaabacbaabcaccbcbbcbbbbacbccccccccaacabbaaaacaababbabbcccaaacbaaaacbccbcccabacbcbccbbccbaaabcccabbbbbbccbcaacbbaaaabbbcaaaabbabccbcbbbaccbbaababcaacccbbaaabcbcabbbbbaabcbcaaccbbcccbbbaababcccaaabcaccbcacacabacabbbbcabcbcaccaabcbccabccccacbccbbbbccaccaacbbbcbcabbbbcbccbbbaabcacbcaaaacccbabbbabbbacabacbaabccabbcbabccccbabbbcacbcacaacccbabbaacbcbacbcbcbcabbbccbccacbbaabbaabccaaaaabcacbcaacccccacacbacabbbcbbbbcaaacbabcbaabacacaabacbcbabccaaabbacccccbabacacabccacaaccbcbbcabaabbabababccbaaaacbaaaccbccaccabbcbccbbbacabcabaaaaacbcccabbacccabcbaabbcabcbabaacbaabcbcbaabcbaaaaaacbccacbacacbbababbcacaccbacbbcbcbaabcbbbacbacaaaaabbbbbabcaabacacccabbaaccbabaccccabcbcacababbccbcabcccccbabacacaacacbabbcbaaabcacccbbacabbbaaaabccbccbcbabccbaaccbaaacbcbbcbbcbbcbbbcabbcbcbbccaaacbaacbaabbabcababaaaaaaaacacaabbabaacbcccaaacaaacbabbbaaacbaacccbaaccbabcbcbcbabbaabbaacbccccacccccbcaccaaabbaaabbbabbcacbccaaacabbaabbaaccbccbbcbcabcbaabaaabcaccbcaccbaabbacbcaabccbbaccbcbaabbcbcbcbbbaaaaabbcabacabcaccbcbcbcbbaaaaabcbcaccbacabacaabcacbccbccccccaaaaacbccbbbbbbbabbccaabbaacacbacbbcbbbbacbcaacaabcbbcccccabcaabbbbacbbcbbcccaaaaacbcccbcaccacbbababaccbacaabcccabbabcbcbcbbcbabacbbbcacacccbcabacaabcabbcbabbbccacaabcaabcbcccacbaacbacaaabaaaacbcaabbccaabccaccccabaccabacccbbcbabbaccabcabbbbaabbbbbaabbcaccccbbaccaaccbbcacacbacbcbbccaaccaaccbcaaccbabcbabccbcbacabacbbbbbbbbbacacacccacabaabcacbacbccbcbcbabbacacccbcbbbcaaacaacabbccabaaacabbaabbcabaccccaccabccccccbbbccabccbccacccaccbabaccccbcbbccbbcbacabacccbbaacbbbcbbccccabababcbbcabbacaabaabccccbaacababccabcbbbabcbabaaacbbaaccbccbcaabccaccccbacbaabcbbbccbbccacbabcccbcaccabcbaabbbacababbabaccaabaccccaaabcacabbbbacbccbbabbbbccbbcbaacabccbbacaacbbbccbabbbabcccbcacbcabcaacabaacbccbcaabbabbccabaacabcbbbbbcabcabcacacacbbbbacabccccccaabacaabbabcccaacacccabccaacacbcaabccccaaabbccabaccaaccabccbcacaabbcbababcaaccbcaabcbcaaacabaaabcaabacacccccacacccbbcbbbabccabbcabcacabbacbbabbcaacccaccbcccccbabcacccccabbaabaaccacbbbbcbabbacbccbcaccabbabbaaccbbbcbababbaaabcbbcaacbababaaaabcbacaabbbaccbccbacacaabaabcbcbcabccaabcbaaccbbbbcbccbaccbbbaabcbabbbabcccbbaacbbccababaaabbcccbccbcccbbbcaccabcbcabccbbccccbbcbbbacbacbcbccbbcaabbbabbbbcaacabaababaabcaacaaabbbbcabcaabaacbcbcccbcbccccabcacabcbbbcbacbcaacaaaaaacabcbabbbacccacacbabacccbbcabbbababcaaaacaccbbbcbabccbabcabbacbcabaccbaaaaaabcabaccbccabcaacacbacabcccbcbcababbabccbaaacbcaaabbacbcacbbcbacaaaccbbabbbbbccbccbbcbcabbabcabbaacabbaacccabcaccacacbaaacbccbacbcabcacabacbccaabacabbaccccbcccbabbbabcbaaaabbabbbcaccccbcbcaababbcbabcabccbbbabcaaaaaacbbabcbcbcaaaabaacacbabcacacbcbcbcabacbbaaccbbccbaccbbaaaccaaccccabcbacbccbbbabacaabaababbcaaacccbbbaccbcaacacbcbcaacccbcbbacaabacaabbccacacbaccbabbcccbbbcbbabbbbbbccccbcaabacbbabbcaabbbcbbccbbabccbbcbbabacaaabccbbbbaacbbabacaaacacbabbaaaabaabcaaabaaaacbcacbbccbabcacbacaccbbcacacbaabbccbacbcbbbacacbaccbbaabccbaaacbcabacbababbbabbccbbbaccccbcbabcbcabbcbcaaacbccbcabccacacacbacccacbabbaabcccbbbaacbaacaababaaabacaabacabbccbcccacbbbccbbbbcbababbabcababbbbcacbababaabbababaabaaaaaabbabacbcacbaaaccccbbacaacccacbaabccbcabcaababbcbbbbccaabbacbbbccabcaabbcaacbcabbbabaccaccbcacbaaababacbaccbcabbabcabaaccaaaaaacbabaabcaacacaacbbbaacabaccccaaaccbcaaccbbbacbabacacbaaccccaacbaacaaabcaaababcbbaabaccabbcacccacacaccccbaaaccaaaabaccbcbbbaabbacbababcbabaacaabacbbbabacccbabaacaaaccaccbaacbccbcbaaabbcbaccbbacacbcaccabbbcacaaaccabbabbbbbcbaabbcabbbcbcbccbbcbcacaaaaacbbcaaacaaaaaabaabcbcbbbccbcbacabbcbaacbcbbcabbabbaacbbabcbcaccabaabbbaaaacbacababacccbacbbbcabbbbcabcabcabacabbcaabcabaaccacabbabbcbbabccbcbaababccacabcccaacaabcbcaacacacccccbcaabaabbccccbbcccbaabbaaaacabccabbbcbcaccbcbbcccbbacabaccacaabcaabcabacbcccababbbcbabababbabaaaccbabcbbcbbbbbbaabcaacbcbcaaccbbcbacacbbccbabaacaabbcbacbbbabbabbcabababacabcaaabbbabbaacbcbacbccabacbbccaabcaccacababbbbcbcabcabcbaacaabbcbaaccaaacbacbbbcbbbbbcbaacbcaacbbcaccabbabbcccbcbbbaabccaabaacaacbaabaaccbbbaabacccbbaacaacacccccbbbbcbaabcabbbcbcbcaabacaaaababbaaaaabbccccbcbacbcccbaaacccccbaccabcbbbbaabcaabaacccacbacbbcaaaabcaacacabaabcabacacbcbccacaaccbccbcbcbbcabaccbabaabccaccabacbbaaacbaacccbabababacacbbbacbaacacaaacabbcbbbcbabcaabccbbacacbcabbabacbaaccaccbaaacbabbbabaaabacabacabaabacacbaabacbbacbccaccbabcabacbacabbbaaaacabcbcabbbcacccbbccbbabbabccbacbccbbbaabababbcbcacbacbbcbbaabcaabbacbbcbbbacbcaccbabcaaabbabbaacbbaacbaacacccaababcaaaabcbacababbaccaccacbcabbabbcabbbaaacabaabaabcbacaacbcbcbaccbcaabbccabbbcacaacaaabacbaaacabacbcccbacbbcbbcbacbbaaacccbbbccabcaabcbbbccabccaabbbacbaaabcbcbccbcaaccbacabbbcaabbbcbaabcccaacacaaaacbbcbcbacbcbaabacaaaccaaccaabcccaabbbbbcbabacbaaabcabbbacaaaacbbcacccbcaaccaababbbaccaaacbcccaaabbcaccbbaacababcaccbbbbbbcbbccacaccabbcbccbcaaacbbacbbbcccbccbbbaacbbbbaaacabaacbabcabcbbbbaccccaaacbcabbcaccbaaababcbbcabbbbabbcacbabccbacaabacbabccacccbccbcaaaaabbbabcbbaaaacbaaababbcbbbabaccbabaaabbbbcabccbaabbcababcbacaaaaabbbccaacabbcbcacbaaabccbbcabbabbccaabccbabccacccaaacbccaccccaabbabcabaaacbaaaacbacabcbcbaaaababcacabcbcccaacaaacbccaaabbbabcccababcbcacbbabcabcbccbbbcbaacbbaabaabbcaccacaaacacaccbaacaacbacbaccbaacccabcccacabacbcabccbbcbaaaccacaaccbbbbaccbcbbacccaabcccabbbabcacbcacabaaaccbcbccbababacacaaabbabaabbccabcbbaaabbbaacababbaaaaccacabbcbcbabcbaaacbbbabbcacbabcbcbbbaacccaacbabbaababaabbbccacabbcbcababccabcacacbcaaabcaacbbcbaabacacbbaabacccbcaaaaaacbcbcbcbcbcbaacbabbcbabcbcabccaccaabcbbcabcbabcbbbabaaabaccacbaaccababbccabbbbabbaccbaacbabbcabacaabcbaacbacaccccccbcbabbbcbbbaabacbcacbcbcabbbaabaccaacbbbbcacaaccabbbbabbbccabaaabccabbbbbcaaacaacaccacbcbaababccabbaabbbcaaababcbaccbacbcabbcbcbaaabbcbbabbcbbcbcbbccabcbcbbcaaaacbbcaaabbbbcbbbbacbbabbabaabacacacacbabcccbaaaccbbbcbacabacabacabbbaababbcabcbacbbaaacccbccaaacccabcbbaaaabbbbacccccbccccacabbccbacbccbaacaaacbcccacabaccbaabbbaabcabcccaaabbccaacbccbcbabbacacaaaaacbcaacabbcacccabbbbacaacbacacbbabaacbabababcbbbacabcacaaabbbacaacccccbacacccbcbbaaccbbccbacacaaaacbbbaaacbbaccaaccbcbcabbabbbccbbcaabccaaabcbbccbabcbbbcccaccbccabcaccaabbcabbaaacaaccbcbababaaabbacccbaabccababaaccabaccaabbacaacbccaaacccccbcacccbacccacabbaccabaaacabaacaacaaaccbccaabcccabaccaacbccbcabcabbcbbabcaabacbabcacacbccccacaabbccaacabcbbcccbcbbcccccabbabbcaccabbcbcbabbcbbbcacabccbccabcbaccbbbcabcbabaabbbccabacabcbcaaacbccaacbabbcccbccabaaabbbacccaacbabccaacbacbaababcbbbbacbbbcbaaabbccaacbbcccaacaabcbabbcacabaacaaacccaccbabbacbabbbcaacababccabaacbbacbaabbccbbacbccbbcaaaccacacaaaccaacacbaabccacaaabbbbbababaaaabaaacccbbbabaacbabccabcbbccccbcabcbcbabbbbccbbcbbabbcccccacbbaabcaabccaabcaabccacaabacbaaabacccaccabcaccbccacacbaccababacaaccababbaccacbbbcbbaabaccaabaaacbaccaaaccaacabbccbabccaccccccbababcaaccbcbacbcccacbaacbbabccacbcacabcbaacaaaacabccbabbbabcccbbbaacacbcbbccbaabbaabcaccaabaaacacbcccaabacccbacaacccccbcaacbbbbaaaccaabbbbbaccbcaccbbbbabcacbbaabcacaaaabcabbaacbcaaacaabbbacbcbbcbacaabaaccabbaaaabcbbbcaabbcbaacccbcbbbabbbacccbbbababcacaabbabbacabbccbbccacaabacabbcbbacaaccbaaaabbbaccccbbacbcbccabcabbaacaabaccacbbcbbcccbccbbabbaacabcbabcbbaaacccaccbbabccccbbaacabbbcaaabacccaacacacbacacacbbabcccbcbccacaaaabacaccacabacaaacaacaaacacacabccbabcaaababcabcbaabacacabbccbbabaaaaaccbcaacabacacabbabaaabbcabcabcbabcbbcacccacaccccbabcbaabaacacbcaaacccbcbbbcbaccabacccacbbccacacabaaccaabcbbaaaaabbccabaabbabccbbabbabbaccbcbaccaaaacbacccbaacabababacbbcbabcccccaccbaacbacaacacbabbbbacaaabcbcbbbccabcbbcaccbbaacbbccabcccabcababacccacccabbcacabcaacacabcaaabccbabcbcacccbbcccaaccccccabbabbccccabbbbcababbccbbbabcbaccbaabaacabbacbabaaaacbbbaacccbabcbcbcccbcccbbbaaacaccaccccbcbababcaacacbbccbcbbaaaabaaabcabbabbaaabacccaaacacbbccbabcbbbbaccbcbabcccbbbcccabbccacbccacbcccbbcabacbcbabccbccabcabcbbcaccccbbbccaaaccbcacbbcbccaccbbbacccbcccabbabcaccaaaabcbbaabbaacccbbbbbcacacbbbaaaaacaacccbabcbbcabbabcccbbccbbcaccaccbacaaababcabacaaababcaabcbacbcbababcaabcabbababcbabbabacacbababcacbbcbaaaabbbaacbcccccbababcabcbacbabcbbcacccbcabbbacaccaaccaaccaabcbbccabbbacccccabbbbcccbaccbabcbabcbcccabaababbacaaccaababbbacbaabababbbccabccccccabcacbabcbbccaacabaccababcccacacaaccbaccbbbbbbccaaabcbbbccaaaabacbcabccccbbcbccabbbcbcacccbaacabcbacbaacbbaababbcabbbbbaccccbaccabbcacbcbabaccccbcbcbbbccbcaaabcaabbbbaccbbcacacbccabcbcbabcbcabbbbababcbacbbbbabcbbacbbcaaaacabcbbbcbaaccbbbabbcacbababbaaaabbcbbbababcccbccccccabcbbbcbcbacbcccbcaababccbbbcaaabbbaaabbbaaacaaaaccacccaacbbbccbacbbcaaabcbbcccabacacacaabbbbbaaccaabcccbacaabcabacbaccaaabbcaaaabbbcabacacacbacbccbaaccabbbbbaabbaacaacccabbabbcabaacacaacacbccbbaabcaabbcbbccabcbacababcbbcbabaacaabcabcacccabcbbbbabbabaabbbbaacabacbcacbaacbabcaabccbbccccbabacbbbcabcacabcacbcabbccbacbcaacbaccabbacbbaacaaaabccbbbbbacaccbcbaacbccaccaabbccbacbcccacbbbabbbbcaacbaabcbaacacbcaabbaabaacabcaabcaccccaacacbacbbbcaaccccbaabcccbabcacabacbaacbcacbaacbaaaccaacbccababbacabbbaabcacbabbacbacabbccccacbbccbbaacababacbabbcabbacbacbcacaacabbabbaaacabbacacaccbbaaaaaacaacbaacacbbaaacabccbbccaabbbcbbbcabaaabcbcccbbbaccabbcbcccacacacccacaccabcaaacbacbcbbcabacbaabbbacbbaacbbcbaabaabcccbccbcacccbbcbcaabbabbbaababbabbaaabbccbcccbbaabccaaabaabbabaccbccbbcacbbbbcacbcbcbbccbcbbaccbabbccccabbabcaaabbbcacaabcbbbabccabbacbcbcccbcaabccbccabbcacbcbbbcaabcbcaccccabcbbcaabaabcbaabacabcbacbbccbccbcbaccbaabcabbcabacbccbcacbbcaaabcbbabaaacbacaacbaacbbbbbbbbcabbcccbaaaccaaabbcbaaabbbcccbbaabcbaaaacabbacccacbbbbcabcacbcbcccccccabacacaacbaacbaacccbcbccacccbaaccbacababacabaccccccbcbccbccbcaccbbaabaccbabacaacaacbaabccabaccabbbbccaabbcbcaabbbabaacabaaacaaabcccbababacababacbcbacbabcaccabbabaccbcbacacacacbcaaccacbcbbacabbbbabacbaaabbcccaabaccaacabcbccbcbabacbabcbbaacccacaacbccacbaacbbbcaaaaabaaabacbbbccaccaaacccccbbcabbbbbcbcbbacacbcccbcacccccabbbccbbccacbbcbabcbccaacabcbbbcacbababacaaaacccbaccabccaacbccbaccbccaccbbcaaabbaaaccacacbcaabacabbacaccaabbacbaaaccacbabbabcccacaaacababaababaaccbbcacabbcbcbcaaacaababbcababccbcccbaaccacbcabbaabbccccbccababbacbcacaacaaabaabcbacbcabcbbcbbaabbccccbaccbcaaabaacbccaacbccbbacaccbcacccaacbbbcaabbcacacacaabcacacbaabcaaaabbccccabbbcacacbabaacaccbcabababbcbaacccabcaaccbaabbcabaccbbbaaaaababbbbbcaccbbcbacccababccccabaaaccbccbbcaccabccbcccaacbaccacbbbbbbbababcacccabaaacccaacacabacaccabaaccabaaacccbcaccbacbbacbbcbbabbbbacbbaabbccaababbaaacbbcaabcbcacbbcbcbaaabccccbaaccacccbabaacaccccbcaacbaaabacbabbcababccbaacabababbabaabbababbccabbbaabcaccbbbcbcabcaacccbacacbabacbbbcccaaabbbcccccbacbabccaaacccccbcabacacaccbabaaabbabcaccbacacabbccabcbbcabacbccbabbbbbaccbaaaabcaccbbcbbcacaabaabcccbaabbccbcbbababbccacbbacbabbccaccaabbbcccbbcbabacbaacccaacabbccbcaabcaacbcacccbabaaacbcabcbcaccacaacbcacabbcbbbbbbababcabcaaacacbbbcaacbbaacacccbaabaabbacbcbbcbacccacbbcaabbcccbbbccbcccaabcbabcbccbcabcbbccacaaaccbcababbcbaabbaccbacbababbaaccacabbbcaaacccbccacbbbbccbccabaabbbacabbcccbaacacbbaacacbcccacbbabccbccbbaccaabbaccaaccbabbabaacaabbbbacaababbbcabcabcccbbbbbbababcbcabbbabbbbbcabaaabcbbbcbcbaaaccbcbbacccbabcbbabccababacaacabbbbccacbbaabcaaacbaacacbaaabcacabbcbbaaaaccbabaacaacbccbacacbcbccbbacacbbbaacbbcacbcbcbababcaccbcccbbccbaacacaccbcaaccccccaaccbbacaabbcbbcbacabbacbabcbaaababbbaccccaaccbbaccabaacaaacbbccbbbaaccaaabbabbbbaaccbaabbcbbabcaccbbbcaabccacbaaabacbbabcabaabacabbcacaabcbcbcaaacabacacabcacabaabbcbcccccbbaabbbcabcbbbbbcccccaababccaaacaaabbcacbaabaabbcbaccabbaaaccaaabaaaacbabacccbabccaabbabaabbcabcbbbacbbabcbbabacabbcbbbacaabbcabacaaaccacbbcbaaaaabbbcaacbcaacbacaccacabaabaccabcabcccbabababbacbacacccabbacababacaabcbacaacaaacabccabcaaabbcccabbbbbbbcabbbbcbbbaaacbcbaacccccabccaaaccaabbccabaabaaccaccbaccccbbaaabaacacabcabcabbbcccaacccccccccbaaabcbcbbcaacaccbcbaccbcaaabcbacbaabbabaccbcabccacaacbbacbababbaaabcbbbaabaabcacbbcbbcacabacccabcbcaccabaababaccabccbcccaabaacbcababcbbbcaccaaabaabbabacccbacabcccbaabacabaccbcbabaabbacccbaccbbabcbcabcbbbccabcaacaabcaaaacbbcbbabcbbbcabcabacaabbbabccbccaacccaccaaaacbabbaabbcbaaacbbbbccbbcbabaacbbcbbaabaacbaaaaabaabbbabbacbabcccaabbbabcacaaccbbabbbacacbcaccccabbccaaccabcccacabcacaaabcbabcacaabbbacbbcaababcbcaccbacaccaabbbbbbcacabcbbabbcaccababccbcbbcacbbcabbabbbacbbacaaabcbaabccbabbacccbccbcaabccacbcabacabcbcbccbaacababccbaaababccbaaaaacbbcbccccbcbabbbaccacbbbcbaababbacabaaabbcabaacababcacbcabbaaccabccaabcabaccbbcbcbbbacccaacaabbbbbaacbccbcacacbbccabcabcabbaabcaccacbabaacaaccabbcaccccacaccaaaccbbbcacacabcacccccaaaaaccbcbabbccaccacbcabccaccbccbbbcacabbbbababcacaaccbabaaccbcabccccbaababcabcaaabccaaaabcabbaabbaabacbbbccbaaaaabbabbaccacabcaacbbcbcaccbcacbabcabaccbccbccaacbccaaacaccccbccccbbbbcbaccbcabbcaaccabccbabcbaccabcccabccaabccbcaccaaacbaacbacbabcbbbbcabacbbcabcbcbaacaabaacbbaccbcabbbbabaaabacbccccacaaaacbacabaabbaacbaacbbbbcacabcbcccccabcabbbbaacccabcacbcacacacccbcbaacbabbccaaabcababbbcababacbbbbcbabcacccabcccabcbcabcabbcaaccbbbabcbcbabacaababbcbcbccaaabcbbaccbcaababbbbbccacccbbcabaaababbacbbcacccbbcaccbbcaacccaaaababccabccccaccabbbccaaccababbcaaabaaacbaaabcccbcaaabbbbbcabbccacaaababccaaaacccabaabccacbcabcccabababbbbccacbbaacbbccacabcccbcabbbacabbbacabacccabcabbcacbcabbabbcbaacccbaaaabcbcbbbcaccabbcbacbbacbabcaabbbacaacacbacaaaaaaacacbccaacbacbbcbbababcaabbbacbbbbccbbaabacaababaaacbabcaaaaabaaccbaccabaabaacbaacbaabcbacbababbbccbcabbbacababcaaabaaababccbcbbbbcbccbaacbabcbaccbcabbbccabcaaabacbbaccabbccaaccbbbbaabbccaacbcabbccaabcabcbabacabcccacbacaacabbbbbccccbabcbbbbbcccbcabbcbaabcacacaabccabaaabbacccaabacbaabbabcccbcacabccaaaaaaabcccbcabbacccccabaaaacabcabccbbcbccaaacaacbcbcacbabccabbaabbccccaaccaacacbccbbbcbccbabcabbcbbaacbcaaacbcccaabacbaabbabacbbbacababbbcbabaacabcbabbbabbbcbaacbabcccabbbbbabcbccccabbababacccbccaabcccbabbaaabbbcccabaccbcbcacabbcbacacaaccbaaccababcbccacbcbbbccabbbccbbbcbcbbaabccabcbcabcacbababbbbcccccacaabbabcaaaccbacbcbaaacbcacababaaacbabcbbacbacbcbcaacbcacbcabccbcbbbaacabccaccccacbbabcbaaabbccccaacaccbbbcabacbaaacbaabacbabcccbacccacccacacbbacabbcaaacacbbbcbcabbacbaaabbcbcbcbcbbacacaacaaacbbabcbbbcacbbcccabacbabcbaabcccbaaacbccbbbccacbaccaccbccccbbcbbbbbbababbbcaaaaacbccccbbbaacbabbaabacacaabaacaaaccbbbcbbaccacccccbcaacacbcacaaaacbaaaacccbbbabacbaaacbaababbcaacaccbacbcaccaabccaabbacccaacaabbccaabaabaabacabccaabbcbbacacacaaabbccbccaacabaccbabccbbcbcaabbabbacabcaacacacccbbbaabbcbcbbaaabcabbcabbbaacaaaabaacabaaacbcaccaaabbcacbaccacbbaaaabccabbabccbaabaababaacccbcccccbcaaaaacbccacaccaabbcabacbababccbbaaabccbacabaaabaabcccabcbcbbbbccabbaaacaaaabccacaaccbaccacacbbcccbbccaccaabbccbbabcbaabbcabbbbcbacbccacbbcaacbccbbbacaaaabcaccbbbbbbbcabcaccbcbbbbcbaabbcbaccacacabbaabcaccccbabcbccbcacbcaaacbbaacbaacabababcbccbaabcbabcaabacaabcbabaaabcabcccabbccccbcbbbabccabbbbcacbcbbaacccaacabacbabccaaaccbcccbccbcbaabbabbacbcaacbcaabcabbacaaaaccaabcbaabbcbabcacccbabbbaabbcbacbbccabaccccbaacaaaaabbaaaaccccbbabaaaaabbbacacacabaacaacbabacbaaccacccaacaabacaaacacbcaccaaabbbbacacacacbcbcacbbaaaaabababacacabcaccaccbabcabbcaabbaccaccabcabcabcacbababbcabbcacabbabccacaacccccbbcbaaacccccbaababacabababbbaabccacbbcaaacbacabcabcbcbacccaaabaabaccbbbbcbbccbccaacabcbaacaacabcaacbbbbccbacbcaacacacabcbaccbabbaabacccccbabbbbcbbbbbaaccaccbcabbabcbaccaaaabbbbabbcabcbacaaaaacbbaccbaababbcaabaaabcaaaabbbbcabcabbbbcacbcbccabaabcbcbcabaaccacaababbbabaaacbbbbbcbbacbcccaabaccacaabbccbcbcabcabcccaaaabaccccacaaaabbccbaaaaaaaabcbcbcbcccababaccbbbcccbbbbccaccbbbaacbaabcacbabacbaaacacabccacacacabaccaccaacccaaacccacacabaabcaaccbcaaccacacabacbcacbccbccccbaacbbbacbbbbcacccaacacbbcbaacabaacabaaaabbccabbbacbcaabaaaacbccccbcbcaacbbcabaaaaaacabcbcbabcacbacaabaabcabccbbcbcabbbaaccbabcacbacbcbbaacaccbbbbaababccacaaabcaccbbcbcccbacccccccbabbbccacbccbaacacbcabcbabcccbbccccccbbaaaaabbbccaaccaabacaacbaabcbaccbcbabacccacccbbbbcbcbbaabcbccaabaacccccbccbaabacbcaacacbaaaacbabcbaaccccccccbaaaccbabccbbabcbbabacacbcacbbaccbccbbcaccabacaaaababacaacbcbbbbaaccccaccbbcacbbaabbabbbababbacacbbaacbcacacbccbbacbaccaabaabbabacbaabbbacbbabbcbbccbbcaaacacabccbccaabbabcbbbbaabcbcbacacabbbababbaaababbbaabacbbaaacaccccbacaaabbccbcaccbcacccbacabccbbcabcacbcccaaabaacbabaaccbbabbccbacaccbcbbaabcccabbccbccbcaacacbbbcbabbccbbaccabbbababacaacaccccaaaccabbacbccacbbcccaacbabbbaabcbbabacaccccacbcabaacaaccaccbaccbaccbacaabbabbaaccbcccaabbccabccaaacbaaacababcbcacacbaccbbcaacacbcaacacbccabbbccbbaaaabbbcabbccbaabcbcacacbaaaabacbccbbcacacbbacbccbbcaaccaacbababccbabacaccababbcbcbbabbbabcccbbacabbaccaabcbbcbbacbacaccbcbacccaacaabcaccabcbabbcacaabbcaaccbbccccbbbcbaccbbbcbbacbcbaacbccabbbacbcbbabcbbbbbbabbbaaccbbaacbcabacacaabacccbccbabbbbaccabcccbcbabbcacabacbbbcbcccaacabaaaaabaabaccbcbababaabccacbaacaaccabbabccabbcacaabaaccacaabaccaccbabacabbbccaaacacbcaacaaacbaaaccccacacccccaacababbaaaaccabaaabcaabbbcccbbbcbabbccaabcbacaccbcccaacbacaaaabcabbaccaabcbcababaacabccccaacbcbbacbabbbbbbcbbcaaacacbbcbcaaaaabbaaaaccccabbbcbaabcccbccaccaaacaccaabaaacbccabccacbbbccccabbacbaccbcabbacbbcbaabbcacabaabbacbabccbcbbccbcabbcaabcaaccbcbcabbacbbacabbacbbccbbabacaabcacaabaaccbacabcaccacaabaaaacbbccccbbaccccaccabcacccabbabbbaaaaaaaccabababbcacbbbcbbcaabacbaaaaabcacaccaacabbaaaaccabbcaaaabaacbaababaababaaaabaccccbcbaccccabbccabaaaccabbcccbcbabccbaabcabacacacbcbbbcbbbcacbbabbacaaabccbcacbcbabbbacbcbbbbbabcbccaaabacbccaabbaaccabbcaccaacbccccabccabcaabbbcacacaaccbcaaccccaabaaaabcaabccabbcacaababbabbabbaacacbcbcacbcbbbccacacbbaaacaabbccccaccbbbcabaababbbcbabbbaacbacccbabccaaccbbcabaccbbcbbcacabaabcababaabbabababbcabaabbaaaccacacaaacaabaccccacacbbcbbccccaccaccabbacbbbabcbbabacbaacbbbccbcaaaaccaccacccabababcbcbbabacaaacababccbcaccbcbcbbccccbaaaabbaccbbacbbcbbbcaabcbcacbbcaccbcbabaabbbbaabcccbabcbcbcacabcbbaacabbbaabaabbbcbbaacbabcccccaccaacbabacaacabaaaaabcbaaaacbbabccabbbcaabbaacacabaccabaabcbaaabbbbbbacbacbabacccaabaccbbbbcbccabbbbaabcbbaaacacaacacbcaaacbbcccbaccbccbbcbbbacabcbbacabcabcacaaabbccacbbbcbaaaaacabaabaccabbbcbabccbccbabbaaccbcbbbbbbbaccbacabbaabbbbaacccabbcbbbbcbbaacaaabbaaacbacbbccaccbbcbbcbcaaababccabbcabcacaccaabcbbbbcbbabbaccccbcbcacacbaccbacbbbbaacaabbbbccaabcbbbbbbabcbaacccaacccbccbabcabbbbcabcbaccabababcbcabbbcaabcbbbaaacbcbccbbbbbcabccacbbcaabcaabbacbbabcacabbaacbaccbacccaccccbcbbcccbbabacabbcacbbcaccabababacbacbbcccccbcccbbbccccbacaccccabbcaaccabbcbbbcbabcaaacccbacbababcbcbababccabcabcbabbbacccbbcabacabaacacabaacaccabaacaabbbbccbaaacaacaaccaaaccbbbabcbbacbbabbacbbbaccaabbcccbabcabcabcbacbbaacabbbacaccbacbcbbcabcbbaccacacccabcabaccabbbaababacbccabbacaabaaccabbaccabbbabcabacbacaaaacabcccacabbbcbccaacbabcccaccccbbbbcccbaacbcbbaccbcabbbccbcccbcccccbccabaabaabbbbbaccbbbccccaabbbaacbabbcccaccbbbbcacbbcbacccabbacabbbbccaaccabcccbcbacbcaccbbcbcbcbccaccaacabbbaabcbabaababbcacaabcaaabcacacbbabacbcabaccacaabaacbacccaccbbababbcabcacbacabbbabbaccabbabcabaaccbcccaacbabcaaacbcaaaabccaabbaabbcbbbbcabababaabccabbacabaacacacbcacccbbbacaacbbacbcccababccaaababacaccbcabbabbbbababacbbccbccbaaaccabbacbbccabaacbaccacaccccbbcbaabccbabacbcacacbaabbbcbaaaabbbccababaabcaabbbbccbbbcacbcbaccaabaaccbccccbccccbacbbaaaaabbaacabbbcbcccbcbaababacacabcbcacbabaabacbbcbbccbbbaaaacbccabccbabbbccacbcaacabcccabacababbbacbcaacacacacacbbcbbacbcaaaaabcbcbcabaaaacaabcaacaabbcabcaacccaaabcabaaaaccaacbccbcbccaaccbabaaabcccbcacabcbbacbaabcbbaacaaaabaaaacaacbabbbcbcacaccbbbaabaacabcaabaaabacbcaacacaacaaaababcbcaababbbbccbcacbbacbbabbbcaaabcaabcaccaacaaaabcbcccbaacbccbbbcacabbbabbcbccaaaacccaabcaaacaacccacbabbcbbccbabccaaaacabaacacccacaabbcaccbcbbaaaabcacbcbbbaaabbccbabcbbaacabcbbcaabcccbacccccbacaaaccaacabbbacabbacaacaccbbbaabcbbacabccccabaaaabacbbacbbbccbbbabcacbccbbbaabbcbbabacaacbabbccabcccabacbacaacbbcabcbbabcacccbcbcbcbabbcaaacabbcacaaabbaaacaabacbbcbbccaabccacbbbcbbaaaabaabcaaccbcbbccbbacbbcccbbabababccbbbabcababbabaabbbabaccccaabccbcbaaacbbbcaacbccbcbbcaaabbbcacbcbbbaaccaaaaccbbacbbbccacbaabbabaabcbaabcabccbcbccaccbbcbaabcbbbbcbaacccccaaccbaccbccbaabaaacaabcbbaacabcccbcbbbcbcbcabaaacbabbacbcabaabbbbcaacaccbacbccbacbaacccaabaabaaaabbacbbacacbaacabcabbacabbaaabaccaababccaabaacccbbbbcbcbbbabbbcaaabbcababcacbcabcaccbaacbcbcbbabbbaacbccccbccacbcbacabaababccacbcccabaabcbcccccabcacabcbcbaabccbccbbaccbbaacbbabbacaacbccaccccccbcbbcbbababbbbbaccabccacabbcbaabaacbcbaacbaaaccaabbbbaccbaacacabbcbbaacaccbabcaabbcacbbbccbababacabcababaaccaaabcbcbabccaacaccabbbbcbacabaccaaabbaacacbacacaacaccabbaabaacccaccaccbbacaacababcbcabcccbabbabbbbcbbbbaaaaabaaaacaaabaacabbaacbbcacbabccbcbbacabccccabacabbbcacaabbcbcbabcabcabcacacbaaabcbcbbccbcabbcabccbccbacbcabacbbabbbcaccccbcbccbbbacacbcbacbccbbbccbcbabbcacccaaabcbcaabaacbbbcbcbaccbaacaabbbbacababccaaccaccccbbaabbbacbbcabcacbbccacbaabbbabaccacbbcbaaabcacccaabcbabbabbaabbcaabbbacabbcccacabcbbbbbabcaaabccabbccacbbcccbccabbabacbbbaaabcbbcacaaccbacbcacacaccabbccaccbbababaccabaccccbaacbbbbbacbababacbabbcccaabcbcbababccacbacaccaacbbabccccccbacbabcabbcbccbbbbcaacbbccccbccccabccacabaaacabccbcabacccbcacbbacaaaaccbaaaabaaaabbbcabcbaaabbcabcabbaaacbcccacccabbacabccabcbacaacaaaacacbbacbaaaccbbbbbabacaaacbbabbabbcbbcbacabcacabbcabcbaaacaaccbbbbcaacaacbbabcaaabcccbabccbccabbaccbbaabcbcccaabbaccccccbaaabccabcaccccbcabaabaacccaabcacbacbacccbbbcbcaaccacbcbbaccbacccababbaccacabacbaccbcccbcacbaccaaabbcbabcbabacaaccabbcbabbcacaccaccbbbcabbabbaababacababaccccbabbabaccaabcbbcbbccababcccbcccbbbaacacaaccacbbcacabacaaabbbaacbaabbacbabacaaccccbbaaacacccccccbabaccbcbaacbacaabbbccabbcabbabacaccaabcbcaaabcbacbcbacabcccccacaccaabacaaccbbbbabaacaabaacbaccacccabcabcbcccbcbbbbacbcaaacabcaababaacbcbabcbbcbbbcccabcabaccbcacaaaaccabccbcccccaababaacbacbcbbcaabbcbbccbcbaaaacbbbcbcbaccbccacaaabaabcabcacbcbcacacbaacabbcabbacbcccaaacaccacbabbcbbcbbabcabbabacacbcbcbbbaaaabbaacccbbccccaccccabbaaabcccbbcbbccacabbccacababbbcbaacbbbabaaccbccaacbbbcbcabbcacbbcbaaacaccaaabcbacacbbaccaacccbacacaaaabbabbbacccccbacbaabbabbbacabbcacabbacbcbcbbccaabbcbbcaccabaccabaababcbcccacccbacbcccccabbbccbccabcaabacccaccbcaacbbccccbbabaaaaabcaabccbbbcbaaacaccbbcbaaabbcabcacccccccccacbccacbaaaabaaccabbcbaacbbacbaabcbcbcbbbaabbccbbacbcbbabcbabccbaaccabbccabacacbcbacccabcccccccbbbacbcbacababbaccbbcbaaaacacccbacacababcbcbacacabbccaaabcaaccbbbaabaccabaabaaccccbbaacabaabacaaabaaccbaccbcaaabbcbacbbabcaabaabcabbbbaaaccbacccccaacbbacacabcbbcbbbabcabaabaccbcaaccbbababaaaacabaaacaaabcacbbacabbcababbbcabbccbcacaccbcbabaccacbcababccbbbaccccbcacbabaabcaacccbbbcacbaccbccbbcacbacbccbcacbcbbbbbaaccabbbbcbbcccbacbbcbbbcbbbbcccaaccbbabccbbaabcbaaabbbbbababbbabcbbbcccaaaacbbabacaccbbabcaaccbbaccbccabcbccbcbbbccacbbcbbbaccaaacabbbcbaaabbccbcacbbbcbacabcaccabaacaaccaabbaaabaababacaaccbcbacccaaaaccabbaacabcabcbcacabbaabcbbcccccaabcaaaabababbaccbbbcaaabcbbbccbcbacbcabbcccacbccbbbabbacbbaaaaaabbabbabccacbbcbbbabbcacbbacbabbbbabcaaacacacbcacababbcbaabbbcbcccccaabaccbccccccacbbacbcbccabbcbbabaaccabaabaaabbabcaacccaabbbbbcaabaabaccabbcaacaaacaabcbabccccaaaaacabacacaababbbcabbaaabbaccacbabcabbacacabaaabacaaabbccacaabaaccbbbbaabcbaaacaaccbbcabbababccabaaacccbcccaacbcbcabaabcbcabaabacacacccaccbbaabbacacabcacaccbccaabbcaccbabcaabacbccbbcaccbbbbacbcbbccabcabbacbcbacaccacbcbcaccbbbabcbabcbccbbcbabbabccbbacbabbabbcaabcbcbcaaccbcaaaababbcaaacabaaabbcacaacbcbaaabaaccaaabbbcabacccabbcbcbccbbccbccccacaaaaacabbcacabcbaccbcaacabacbccbabacbaccabcaccbcaabcbbaabbcbcaccaabbcbaabcbbaaccabbcbaccbccabcbcbaaabbcccbccccabcbbcbcbabbcbbbbbbbabbbaaabcbbbacbbacabcaccacabaacbcccbcbbcbcbcabccabacacacbcbacbbacaccacbbabbbcbbbccacaaacaacabccabccbaaacaaccaaacacababcccbbcbaaaaababbccbbaaacbccaaaaacbbbacbbcbaacacccabbccaccababcbbbaccccbbcbbacbacaccccbbccbbacbacaaaccbaabccabccbbcbacccabbcabcccabbbccacababaabaacccbcbacaacbbabaabaabaacaaccabcbabbbcabccccbbcbbacaacbcaababbcabccccbabcbbbcacaacbcaaabacbaacccccbabacabbbcbaaaabbabcbbaabcbbaaaaabaccacbacbbbcbbacaaaabaaaaabaabcbabcacaacbabcccabaccaabbcacbaaaccacacaabcbcaabcacaaaccbcbbaacbbabccabccbcacbabcbbbbcbbacbaabacbbaaababccccacbbcbcaabaaabbccbababababaccbccabbabacabbbbbbccacbcaaaacbacacbacabbcbcaaaaaccaacacbbaaaaccbcbccaaccacbaacacbcccbcaaaaabcaccbbbcbbcacccaccacbcccaacbcccbccbaabbbcbbbaabaabaaacbbcaaccaacbbacaaccbabbccabcbacbcbbbabacaacacbabcbbccacacbacbcacbacacabbacbcbcbbaacbbccbabbcbccabababbbaaaabcabcbcccbabacacbbaacaabccacaabaccababcbabbbbbacbaccbcccccbbabbccaacacaabbbabbcaaabacbaacbbaccbcbabccccbbcbabbbabcabcaacbbccccbcbbaacccaccbcacaaccbccbabaaabbcbccccabbbabcaabccccacccaaabcbcbbacabbacbacbacbcaccabcbaaaaabacaacbcbbabbabccaabcbacbbbacbcbcaaaaabaccccbaacabcbbcbabbabbbcccaaccbabbaabaccabbaaababaaccbaaacaacabcbcaccbccbbaccbcbbabbaabaabccbababbbccabcbabcbacaacaabcccabbbbcaaaaccaccbaccbbcccbccbbbbcccbccbbaaabbcbacbbbacabacaacacabaabbacabcbccbbcacccbbababcabbccacbaabccbcacbccacacaacabbbaccccabcabacbaaacababaccbccaaccbbaccbcabbbbcaabaaaaacaabaccaaccbbbbcabccbaaaacbaaaacbcabcbcbbccaacacbbbccbbbbabcaccbbaccacbcacabcbacacbbccaccbbacbaabbcccaabbaabaccaacaacacccacaacaaccbbaccacbacaabbcabaccccabacbbcbbaababccbcccabbbcbcbcbabcbbcababbaccaccbacbaaaccccbcbcaaaccbbbccaabbbbbcabbbaacbaccbcacacbbcccabcaaabbccaabcbabbaaacccbaacacaaabccabcccbbbacababacacbaabbcbcabbbcbcaabbaaaabbaacbbababaabaccaabaacbbccbabccccbbcacacccabaacbcabcbbcbbcbbaaacabbbbaabaaaaccbccccbcacabaaaaccabbccbbabcacbbbbbcababaacbaabbcccabbbcaccbcbccccbbaaaaabacbbaabcccaccbaaacbaaabbccccbbaacaccbbaaaaccccbabcbacbabaacccbbaabcacbbccaacccbacbacabcacbbcbbbcccccccababaabcabacacabbcbaccaaacaccabaaaaaaccaacbcccbbccacaccccabacbabababcccbaabcacbacaccababbbacaabcaabcbcabbbbccaacccabcbcabacbcabccbcbabcbbcccaabbccaabaaacbbcaccccbacbaacbcabbcaccaaacccaaccabaccaaaaccacabbbaaabcbbcbaccbcbaaabaaabcbbbcbaacaabacbcaabccbbacabababccbababbababcbaccaccbccbbbabbcabcaaabbcbaacaccabccabacacbacbccbcbbcaccccbbbaaaabacccbbaabbbaccaacacbabaabaacabccbcbbbcccaacbbcbaacabcaaaaabbbcaacaabcccacbcaacbbbcabaacbabcaacaabacbacccccbacccbcacbaaacaaaacacbcacccbcbaacabbababcbbaacbcabcababbcbbbcccaccbbcacccbcaccacbbcaabaacaabcbcbabacccaacccccacccccbbccbccbcbcccbbabbacbaccacaabaaabcacbcbabcacbbcccabcbbbcccccaaaaccabccbabbcbbabcbcccabcaaaccbbacbcbabaaacccbcbbabbabccaacbcabababbcabbccabccabccaaaacbbaabbacaccabbaccaaaaabbaaccccacbacbccabbaabababacbabacccccbbbababacaabacacacaabbbcbaababcabccbabcbcccbbabaabbcabcabcbcabcabaabaaaabaacacbbcabbbcbcacacaacbbcaacababacabbbbcccacbcbacaacccbabbccbbaabaccacaacbabaabbaacabacbbccccccacccaaabbaaccacaaaacbaacacacbbbcababcabaccccabbababbbbbbcaaaabcccaaababbbcbcaabbbbccbacbaccbcbacabbcabccacaabaaacaaccbacbaccbccccabbccbbccccbbbaaacabcbcbaccbbbaccabcacccbbaaacbaaccbccaacbbacbcabbbccaaabcaccbcbbccbaccacbbaacabaaccabbcbcaabcaacaabccbabcbaaabcacacbccabbaccaabbcaacaababbbaacbbbbaccbbababbabbbbccbabcbcaccbaacaabcbccbbbbcbabaababacabaaacabccabcbcbabbcacbbaacccbccbabacacbcbaaaacbbcacaabacacbbbbcccccccacacbcbbbabcbbcacbcccccbacbbcaabaccbcccabbaaacccbbcbbabcaaabcaabbcbbaccabbbaaabcbabaccbaaacaabaaabbbbccbabaccbaccbacccaacbbacaaaabcccbacacabbbccaacabbccbcbbacbcaaabaabbabbcbcaabcbccccbcccabcbacbbbcbacbbcaccccabbacaaacbcbbbbcabcaabcbcaaabaccacbabaccaaabcbcbbbcbaabcbcbbbaaabccabcbacbcabaaacbacccccacabbbbacbbbccbbacbbcbccbbcccbaacabcbcccaaacbaccaccbbbacaabbccbbcbcacabcbacaabccbcaacccaaccabbabcbaabacbcababaabaabaabcbcaccbabbabcabacabcacbbbabaccacabbbaccbcbbbbaabcbccaacabbccabbabbabcbcbcbbbcacaaaaccaacbcaccbbbcaaacabaabaccbbcaacccacbcbacbcabbaaaabbbbbaaaacbaabccaaacabbbbbcaabbcacaaaabcccbbbbacbbcacbcacabcbcbbcbcbbcbcbbbaabcbccbccbcbbbbbacccbbcbaacbcbbccbcaabcbcbcbbbaacbcbaacacbcbbcbabbacbacabbcbbcabbaacbaacabcabcaacbaaccabcbccbcaccbbcabcacbbabcaaabaccacccbabbacbbcaacbccaaacaaacacaabacaaabacbcccaaaaccaabaaabbcbabcccaacacbbcacaabcabbbbccbaabaacababbcaacbbaaaccaccbcbacbcaccbabbcbccacccaaccabbababccabcbacbbacbcabcccacaccaaabbcabcbaabbbbacccacabacacccacbabccbbcbaaabbbacacacbbccabaccacccbaaaacbcbcbacabccacccbaacbabbcccbbbbaccabaabbbcbcbbcbcbaacbcabbbcabcababbabacaababcacabcccbbbcbbbbbbaaaabbaacccbaaababacbccababcaaaacaaacbccccacabcccbbbbbabaccaccbccacaababbabbaaacbcabaaacbcbaabbcccccbaccbaaabccaaabcabcacabbbbaaaaaacabacaccacababccbbccbbaabbbababcacbbabccbcbcbccbccbcaabbbabbabbabccabcbccbbbacbbcccaabbabccacabcbcacbaaabbbabcbababaaabcbacabbccbabbaabcccccbcccabacccabcbaabcabbacbaabcbbcacbacaacbcbbbcccbabccbabbbacabcccccccccacabcbcbaaaaacabbccbbbbbabccaccbbbbbacbbacbcbbcaaacbbcbcccaaaaaaabcabbbabbcbabbbabaccaabccaabcbaaabcbbacacbaabbcabcbbbcbaacccccacbbbaccbacccaaabccbbccbcbacbbabcbcabbaacccacbbbcaaabcabbcbccccaccabaababbaaaabaabcabbcacabaacbabbbccabccbabacaaabbcbabbbcacaabcbaabaabcbacacbbacaccbcbbababbcbbbbbccccbbcccbacbcacaacacabcbbabcccbabacbacbabaacbaacbababccccbbcbcbcaccacbcbcbabbaccabaaabcbacaaaccbbcbcbccbcccbbcacaaccabbbbccccbbbabcabcaaaabaccbcbaabcbbccbcacaacacbaabbabcbcabacabbcccabaccacaaccaccabbacbaabbbcbaacccabbccaaacbabaccbcbccbbbacbbccbaababbabbcbabcbacbcbbacaaaacaaaababcbbacbabcaabcccabbcaabaaacabacccbacbabcccaacaaaabbacbbaacaabbbbbacaccbaabacacabacabcbcaccbabccbbccaccbcbbabccabcaaaaacbccccaaccbcabbaccabaccccbacccaaabaabababccbcbbcabbbaababbbbaacabaccbabbbcbbcbbcabacaacacbaaababbbabbabcbcbabaababbabcaacaccccbbcbcabbccbabacaaacccbccacbcbabacbcbcbccccbaaacbcabaabcccaccbcbbaabcbcaabaccbbccbaabacccbbbbccabaaaaaaaaabcbcaaaabbccabaacccbbabaccbccbcacaabcabbaababbbbabccbabcbccabbaacacaabcccbcccbbccccbacbbaacbccbbccaaabacbaaacccacaababccabbbbaaacaacaabccccacaaccababaacabbaaaaaaccbbacccbbbcbcbbcaacccbcccbbcbbbaaacbabccacabbcaaabaacaccbaaaacaaccacacbbbcbcaaabccbcabbaccccbabbaacbacacabacacbcccababbaacccbcccbbbbcbbabacabcabcacbbbaaaabaabacbccbabaacbcccccaaacbcaaabbbacbaccbcacaccaacacacccaaaacabaaacabbcaccbcccbacbbcbcacacaabcababacaaabcbacbcabcaacabbbaccabbacabaaaaaabbbbcacbbbaabacbbbccccccbbbccbccaaaabbccababcabaabcabcccbbaaaacaaabbbacabbaccbccabbbabbacbcbbaacbbabaababaacbacaababbcabbcbbcbcccaabccaaaacabccccaaaccccbaaaacbcbbccbcbaacbacbcccbbaaacacbacbacbcbccacccbcbbaccaabbcbcabbabbababccbbbbcaaaaacaabccacaabcccbbbbcbbcabbcccaacaacbbacacbbccbabababcbcaaccababaacbcbabbbbabbbbbacaabbabcabcacccbcaacaccbbacacabcbbabccbacbacbaccbccbaabbaaccbcbbacbbcaacccbaccbacccbcacbababaabccbbabacbcccbabbccbabbcccccbbcccabcaaabaabcbacccbcacbbcbbbabbaaaccbacbabbcabcbabcbaabcabcacaabcbabbaabcbababacbcaabbacbaacbbbacbbabbbbcbbacbaacccccaaababaacabacabbaacbbaabcbcacbaabcbbcbcacbbabcaaacababbaaaaacbabaaacabaaacbccbacacaaabbcbccbabbcabacbaabbababaccccbbbbbaaaaccbbcbcbbaaacabcbbaacccaabbbbcbabaccaaaccaabbbbacaaabbaaaabbcabccacaaccbabcacabacbaaaabcbcbccbaaccaabbabccbbcaaccbcbabacbbabbbcccabbbaacabacabaacbaccbcbbaacacbaaabcbbccbcababbccabbcabbaaaaacaacbccbbcbcababaccaacacbbaaabaccbbacacacbbacbbacaaaaacccccbbaabbababaccaaabaabcaabcbcccccbaccccaabbacabbcbbbcabababacbbaaacabcabbcbbaaaacabbbbaabcbbbaccbbaacbcbbbccbabbabcbbbbacbaaacbaccaaaaababbabccbbbcbcaaabccbbaccbcbacbccbcbbaaaccacbcacccacbacabacbbabccccaabcabacaabcabacbcbabcababaccabbabacbbcbbabbabaaaaccbbbccbbcacbcaabaabcaccccaccaaaabccacbcbbaaaaabbaabaacabcaabcabacbabbaccaccbbccccbbbaabacbccbaccaacbbaacccabcbaacaccacbcacbaaccbababbaccbbcbcbaabbababcbbaccbaabaaacbcaaaaacaacbbbacaababcbcbcacaaccbcaaabbcccbabcaabbbabcacbbbccaaacaaccbcaacccccabcaccccaacbbabacbcabcabaaaaacbacacaccabcaaccbccaaccbccabcacbbcbcaaaacbcabcbbbacaabbbabaabbbcacbcccccbaacccccabbcbcbbaccbaccabababbababcaccabccabbaaccaacbaabbccbcaababbacabacabacbbaabbcbbaccbabacaccbccbaccabcbacaaaacacaacacbbbaabcccabcbacccabbcbacbcaaacbccbababbacbcbcbbbcabaaccccaaccbcbcaaaccccbbacaccaaaababacccaaabcbbababcbcbbbbbcabcacccccaaacbabaccbacacaacbccbbbbaacbabbacabbaabbaacbaabaccbbbbbcbbaccaacababcbccacbabababbbcababcccaabbcabbbccbaaaacbbaacbcbacbababcbacaabaccacbbbcbbcacacbbacccccacabbcacbaacacbbabcaabcbcbbcabbbcbacbbcbcbbcbbbccaabbbcacbbcbaccacbbcababccababcbaaaabcbcacbccaabbabcaaaaaabababaacabccbcbcabbabcaababbcaaacbababaaabaaccbaacbaccabbcaacbbaaabbccabcacbbbacabbabcabcacaacbabababbbacbacbbbccccbcacbababbabbcbcbccabbbcbacbbbccacabcbaaaccabaacccccccacabcaacaccbabcaaaaaaacabaacabccccbcbccaacbabaabaaccbacbbbbaccaccbbcbcabcbabbcbcaababcbcbacabbcbbcacccbbbccbbcabcaaaccbbbbaaacbbbccaaaaaabababbcbbacbabcacaacaacaccaaccbcaaaaacccbbbcbccbbaacccbaacacbababccbbcbccabbbaaabababaccacbaaccaabbaabababacbcaacbacaabaabaabccbcbaaacabbbbbcbbcbccbbcabaacbbbabaaacbabbbccaccbcbaacccaaababbcacaaaabbcccbbbbccbcbbabaacabbbccbbcaacbcacbccabbcaccbbaababaccabccaccbbaaacabbbccbcaabcabbccccbaacaaabbcabccacbbcbababaccbaccbbcabaccaaacaccbaccaccbcabbacbbccbbccccccbcabcbcccbaabbbaaaabaccccbbaaacbaacbabbccbccaaaabcbbaccccacaacbcaacbaabcbcbccbbcbaacaaccaccabbbbabbbbccbbcbbcccccbaacaabcabccaabacbccaabcabccbabbbbaacbbbaccbccccbbacccbbcacbccbcccbbcaabccbcbbaccbcbcbccbbbbbbbbbcaaaaabcacbbcbabcaacaaababccacccbacccacaaccabcaaccaacbaccbcbabcabbabbbbbcbcbbacaacaaacabbbbbcabbbaccaaabbaaccacbabcacacaccaccbbaababcccbccccaaacaacbbaaaabacaccabaabcabbcbacccaabbcbbcbbbacccbaaacbcabbabccbcccccbaaccccaacabaccbbabbbcaabccbcbcaaacccaabaacabbbbbababbaaacbbbcabccacbababbbaaacccaabccacacbacacabbbbababbcacabcbbaacbccbbaacccbcccbccbccbaabbcacabcaaacbbbccbaccbaaccabbbbacbbbbbcbaaaaabbcbcabababaaabbacbcbcabbabaaaacaabacbababcccbcbacccbbbcbccccbacbabccbabccaaaaabcbbcbbbcabcacbbbcbbcbaaaabccabbaacbcbbabcbbaacaccccbccabbcbbcacbbabcbabcbcbcacbaaacaaaaabcabccbccbbaaccaaaabaabbbacababaaabbbbacaacacabcccccabbaaabcbcaaabccaabbbcbbbccbbaaaacaacbbbabaacacbcacabbcbcbabaacaaccacccccabbaabbcbbcabaabacbcbacbbcacacbaababacabcacbbccacaaaaacbabcbabbcbabbababaaacaabbbcbcbaaabbcabaaababccbabbabcabacacccabcbbcabccbcabccbabbaccccbabacbbcabccbacaabbabbcbcaccabbccaacbacaababbabbababcabbccbaabcbcbabcacbaacacaabcacbacaabcacbbaccccbcbcbacaacaaacccacbabbcabaacabaababccbccaaabbaccacacbcbccbbcbccacbbaacbbabcbcbabbbaaabbaccccaaaacbcccccacbcaaabaaabbccbbacccbcaaaacaabcbaabbcaaaabacbcbaacbbccacbbcabccbccaaccbcaabbbbcabccccaacbbacacbabcbcbcaccacbaaaabaacccaabbabbabbabcbbbababbbbabbacaaaccaaacbccbbbbbccaabbcabbcbcabccabaccccbcaabcbccaabbababccacbbacbacaacbacabcbabcbabaabbbbacbbaaacabcacccabbbaabbccabbbabbaacacaaacaaabaccaccccbbcbbaccaaabbbcbbacbaaaabbcbcbccbabbacacbcbbbababaccccbbbbcbaacacbabaacacabbbbbcbbbcaabaacaccacacccbaaabccacbacbbcaccaaaaababaacbcaacabacbcacbcbbabcabbbcbaccccbacaabaaaaacbbcbbbbacbaccbbbacccbbbbccaaaacbbcbccaabcbabbbbbbcbaccbbacbabccacbaacbbccaabbaabbaccbcacaabccbbcaacbcaabbcabcacaacbcacababacbbcbacaaaccaaabbccabbbcccbbbbacbcbacbcaacaaabaabcbcbaaabbcbbbaabccaacbaaaccbaabacacccaababbbaabbccccaacbabccacbabaaaccaccbbbcbbbaaaacabaaccabbcaabbbbcacaabaacabccccabbbbccacbacacbabbccbabbbabaccacacbccacccbaccacbbbcbcbcaacbabacbaaabbacccbbaabaccbaabaaabababcbbccbccaabbbabbbcbbcbcbbaaabaacabbbbbcacaabbbccabbbbcaabbccaabbcbcccbaabaacbbabbacbbbbabccbacaccaabbbccbccaaabacaaaaaccbacccabcaccbcaccacabbabbcabcabaacababbababbcacaaacccbcbcabbbacbababacbaaccbbaaabaabcbcccbacacbbaccaaacbcccabacaabbccaccacacbacacbcbcacccbccbcacccbaaccacbbaabbcbaaaccbcbabaccaabcccbacbaaccbacaacabcaabacbabbccccaababcaaabcbcacacaabaabcccccaabbcaccaccbbabbacbbcbccaaababbbabbcaccabacaccabcaaacbbbbbbbbbbabcbcbbabcaaccaaabacabbaaaaaccbbcccccacbaaabcbaaaccccbabcacbcabbbcbbbbbbaaacbaaacbccababaacbbacbbacbbbaaabacccccaaacaaabbbbbcbabbbabbbbcccbaccaacbcbbbcbcacaabbbaaabcabbbcaaabcbbcbbacabccabbabbacbcbcaaaababbcbacaaaccccccbccacccbcbbbbbcabbacbaacbccccbabbcaccacbaccbacabcabcccbacbcccbccbaccbaccabcbbaccaacacaabccbacabbbacbccabbaccabbacbbacccaabbccbbbbaccabaacccbbbaacbcaaacbbbbabccbbcabbacbbabccbcccaaabbcaabcaaacabababbbbaacbaccabaacbcabcccbbbbbabbcccaaacaabaaacaacaacabcabbacacbcabbbbaaababcabbaaabacaaaabbaabcbabbaabcbbcbbbcbcabcacaaaccabcccabbbbabaabacbcbcccacacbccbcccbcbacaabcabcbcabbbabccaccabbaacabbabcaabbaaabbcbbabcbbacacacbaabacbcacaccbbaabbbcbabcabccbaaabbbabaccaaacaababbabacabcabacbbbabacabaabcabacacaabaabcbacabcaaacbaabbcacababcacaabbaabbacccaacbbbbbbabcbbccabccacacbbabbbbacbababcccaabbbbcbaabbbbbbcbaacabacbbaaacbbbcbcbcbacbcbbbabcbbacaacbcabacbababaababbcbcbbbabcaacbbcccacbcbababccccaccaaaccbbaaabcbacaaaacbcacaaaacabbbbbacbcaccbccabbccacbaaacabbbcbcbcccacbbabaabbaacbabaabbbcbbcbacabbaacbbcbbaccacccbacababcabccaabcbbccbacccbabbcaabbaabaabcaacababccbbbaaabbcbaaccccababbbbaccbbaabaaabbcbcbaaabbbbabbcbbcbbbbacaccababbbabbaacaaacababbabcbaaabcacabcbabacbbaabcababbaaaaccbccccbbbccbbbbabaacbaaaaaacacaccacaacbababbabbccaaaccccccaaaaaaaacbbccbbcbbbacbabbacbccaaabacaabacbaaccbaabbabacbbbcababababbcaaccaaaaacbaabcbbbbacaacccbbaaabacacccabccbccbabbbabacbbaababaccabbcccaccbabbcbcaababaaabacabbaabaaabcbbbbabcbcbcbaccabcababcabbbbbcbcbacaabbbbabbbcabbbabacaaacaacaacacabbaccbbccabcbccccabbcbbaaaccaccbacabbcacacbacabccccaccbbaaaabcaccaacabaabbbcccabcbacbcabcccacbcacaaacbacbbcccacbaabacabacbcabaccacbbcbabcaacaaccacbbccacacabcacabcaccccabbaaaccacabbcaaaacacbcbacabccccbcbbcacacacbacccbcbaaabbbaaaacbcbcacacccbababccacabbacbcbbcaabbbbacbcaaabbacccccbaacbaaabcbacabcccbaaacaaaaaacccabcacbaccabbcbacacbbccbabacbbabaccbcbbabcaaaccbcacaaaaaaabccaacabacacccaacaccbbabcaabcbbbabcaacbbcbacabcacacaabcbccaacbbcbaabbccccccccabcaccccacacabbcabbabccaaacbacbbcaccbaaccbbacbcaabaccaccacbcaabbaabcabbcccbcacbcbacccbccbcabcaabbbacabbbcababcacabbbccbabababbabbccbabaccacbbbabbcbcacabcbbbabccbaabaabaacbaaccbacbabaccaaacabbccbaacaaccabbccabcaacacbcacaabaccaabaaaabbbaacccaacbaaccaababbacaaacccccabaabbcbcccbccbaabccbbacabbaaaaaaaaccaabacabcbbbbaaaaaaacbacccbbaccaabbaaaabccabbbccbbcbcbabbaabbcbbabccbacabcaccccaacabbbaacbacacbcbacababbabaaabaaccaaaccccbbacbbcbcaabcbbaccacaacaaabcbbccbccccaacbabbaaccbbccbabaabbbcacaaaccbccacbabbcacccaaaaaccccccacabbaabbcccabccababccaabbbaabaacccabccbbbaabacbaacbbcaacbbacbacbcbacbccaabccbacbacccbcbcbbcaacbccacccbaacabbbaccaaabccbccaccacaccccccaabbaaccaaaccbbcbbaacbbabbababcacbbbcaccaaccbcbbbcaacbaacacaabbccccababcbabcbbbcccacaccccaabcbaabcbbcbacacbbaacaaaabbaacaacacbbaaaacbcabaaacbaaabbcbcaacabaacaaccaccbcacaaacbccbaacaabcaccaccaacccacaaabccbaaabaccbacaabbacabccaaacaccbcbcbaccacaababacccccbacbbaaaaccacbcbbbbbaacbbcccaaababcbacabacccbbcacbaabcbcaabbcaccccbcbbbcccacabcbbbbabcaaabbcaccbbcbcbbbcbaccaabacaacacaccbbacbacabbaacacbcccccbabacaabbbbcbbccccaaaaaccbcaabcaacbcbcabccbbbcbcbbbbcbbbbabaacccbcbcaacbcbbababcabaaababaaabacaccacbbcbbcbbacbbbbbcabbbcbaacccaacaccccccbcbbcbcbcbccbaacacaacaacccaacbcbabaabbabbbbbcbcabbbbacbababacbcbccacccbcabbcbccbaabcbbbaabccbbbbccbbabaccbbcaabbccbbcbacabacbabcbbabcabacbaabacbacabcabababcbaacbacbcbaccaacccbbaacbcaababaabbacccbababaaacbbcbbcbaaacaaacccbbaccaabbabcbccabcbbacbacccbaabcacaabccbabbcbaaaacbacccccacbaacbcbcbaaaccaaabccabaaccabbbbabaacccbcbccbabaaaaaaabbcabacbbbcbccacbcbbaabcbabbbaacabbbabccbcbbcaaccbcccbccaabaabccccbbcaaabcaaacbcccaccaacabbaabaabbabcbbbaaacaacbbacbaaacbbbcabacbbbcacbaacabbacbbacbabcccabaaaabbbbacabcbbbaacbccaaacbabbcabccabbacccbccabacaccacccaaabbbcacabbaaaabcbaccbacbbccccabbcaaaacccaaaabbcccbccabcaabaabbabbabbabcbaaaccacabcacbacbaccccacaabacbccccaaccaacccabbccbccaaabbccbbabcababbabcbbaaacbbaccccbbccaacabacacbccaccbcbaaaabaaaabbbcaaabcabaababcabacbabcbaabbabbbbbaabbbacbbcbbaabcccccbaccabbabbacaabcbaaabacabacbbbabbbcbcbbaaaacbbacbabaaccacbacccbbcaabbbbabcbacbcabaaccccabaacabccaaabbabbcbbabacbabaccaccabcabcccbaababccbcabababbcbbcbbaabbacccbbbbcaaabccbcbabccabbaccbabacabaababcabababaaabbababbcaccbccbabcbbbccacbcbaaaacccbacbbacaacaabaacbacababacbbbcccbcacbbccbcbaabcabaccaaaabaccaaaaabccaacbaccababcacbccbbcacbcccccbaabbabccabccaaabbbcbbccbbcbacbabbcaaaaaaabaaccbbabbccbbababcaccabbccbbccbbcbacaabaacaaaccbbbbccacbaacbbbacbcbccabccacabacacabacaabbaccbbacbabbabccccbcbacbbaaccababccacbcacbcbabcbccaacbabcbcbbcaaabbbaccabbcbcbcbacbcaccbbbbbabccababcbacbabaaccaacbbbbcbcabbabbabcbcbaaabbcbcabacaccbbbbabbbcbacaaabacccabccccbcaccacaccaabccaacbbacbaacbcbbbcacbbabcacacbbccacbbcbabacbacbccbbbbacccbabbbcbaabbaacbaaabbbaabbabbbaabcbbbbabccacbcaabbcbaabaaccbbaabacbcccbacacccccacccbaabccabbbbaccbaaaccacccbaababccacbaababbcbbcbbcbccbbabbbbbcaabbaccbbcbcbaaabbaccaccbabbaaacaaabcaacabaabcabbaaaacacaabccccacbccbabcbbbacbbbcbcbcabcaacbccacabbcbccacbaabaaaabcccaaacbcccabaabbbccccccbaacabbccaaacaacccaabaacababaabbbbccabcccbcacbbcbaabaaacaabacbacaacbccaaacabbccacabbbcbcbcbccabccabccbcabcaabbcbbbabbabcabbbacaabbbccbcbbbcabcaaccacbacabbacbbabcaaaccabccacaacbcaccabcabcbbcabacacabbcacbabccbbabaaabcbaacaccacbcababccbbbacbcabbcbacbbccaacacbccaccccbbbbabccabcccabbaaaaaccbbbabbbcaacbcccabbccbcccbabaccbcbaabaaaaccbbbccbccbbbababcbacbbbccabacbabbbbccbcacabcbabbcabcbbccbabbcccacbbccbcbaccabacabcaaaacacbacabccccaccccbbcccbabaaabbcbbbbabbacaacbccbcccaabcaaaabccbbbacbbcccbaacbbaacbcbcabbcacbaabacbbcabaaacbacbaaabaaccbacccaabcbcbaabbacbaccacabccaacbccaabcacaaabacababaabaaaccaacbcbbbcbcaacbccccabaaabbcbcabbaaccccacacbcacacbabababbccbacbcabccabcaacbaccbbabbccaccabbbacabaaaccbaacbccacabcccbacaabacabccccbacbccccabbcbaacbaabbbcbbacbababaccbcccccbcacabbbbabababaaacbaabbacccbaabacaabcaababacccccacbbaabbabcacbcccbbbbaabbbaaccbbcbaaccbbababccbcbbcaccbbcbbcbcbcaccacabcacabcbcccbccabbbaaacbcacccccabbcabccbabaaacabbbababcaabbbabbbcababbbbbbcabccabbacbacacbccbaacbbbcbcbaacbcccccaaaaabcbccbabccaacccbcbcabccbacabcacaccbbbabaaaaaccbcccaaccaabbbccbbcaccbaacccbababccbbcabaaaaacacabacacacbaacbacbabcabccccacbabbcbacaccbccaacbcacaaacbabbcccbcaaccabcbbaaccccbbcbbaaccaccaaabbbcabcababaacbacccbaaccbacbcabcbaccaaaacbcacbcbcbbabbbbbcacbbacccbcccacaccacaababbccbacccbabccbaccacbaccaacacaacbcbbcccaccccbabccbaabababaaaccaccaaabaaccbbbaaabbaaabcaacbcacaabcbaccaabacacbbcbccbabacbcbcacabcaacbbbbabbcaabbcbababcaaabccbaacbaccaabccbbcacccbaabcbcbbaccacaccacaaacabcbcbcabbcacbcababcabccaacccaabbbcabbbabcbccbbaabcbbbbccbcbccabbabccaaccbbbbbcacbbbcabcbbbaaccaaaaaacccaccabcababccbbbcaccbbcbbabcaaabbabbacacaccbcbbbcbbccbbcaacaabcaaabacbbcabbbacaccbbabcacabcccbcacaacbbccaaccccacaaaaaabcabbaccbcabbababbbacbababacaacccabbabacbaaccccbbbabbaaaccbcccbaaacbccacabaacbabbbbcbcccacababcaccbcccacbbaaacbacaaabbcaccabbacbbcaabaabacbabaababaccbcbcbaaccaaacaacbcbabacbcaccacbbbcaacaabbbcbcaabacbaacacbcabcbcaccbaabaaacaaacbacbaaabcbaaccaccbaabbbacccbaccccbcccbbbcccacccaccbbaacbcabaccabaccbbccbaaaccaccacbaaaccaacaabbcaaacbaacaccbaacaacbcabccacbcabcacabcacbccbcaaaabcbbbccacbccabacbaccabcaabaccccbacaabaaacabcabbbccacbababaacbbbababacbaabaccbbbbccabcaccabcaacaababccccabcacbcccacaabbacccbbbccabcacbcbcbcaccccabcbbcccaaacccacbabaacbcabaaaacaaabacccbccabbcbcccbcaabacaaaccbbaacccaccbcbcccbcbaaccaacaacacbccabbacacaababaaabcbbbbcacbaaaabccabbaaabcabccabbacababcbbabaccabcaaabacaabbbacabbbcacbabababbbabbacccabcabbcccbacaaaaacaabcabbaccbccbcbcabbacacbbbbcbbbaccbcbccacbbbbbbacbacbcbaaacccacabaccbacabaccbabcacccaccbaacaabaccbcbaaacbacbcbccbcaaabbbaacaccbbbbabcaaabcacaaccccabbbcaabcacccabbaababacabaccbaacccbabccbaacaabcabaaaccbacbabbbaabccbcbacabbacbcacbaaacaabcbaccacbbcbbcbcccbaacbaccaacaccbcbbcccbccbccbaaccbabbbccaccaccacccabbbbbaacbbcbbbbabbcbcaacbcacabacabacbcabcbaaaabcbbaabacbaabacabaabbbaacababcacbbabbcaabaaccbacacbbbbbacacaacaacccbabcaabcaacbbbbcbccacacabaccccaccbabbbaaacbbbcbbcacbaaaaaabbcbabcabcaaaacbbbaaccabacbcbcabacabcbacabcaacabaaaabaaccaacabbacbccabcccbcbacaabbcbabcbaccbbcccbccbaaaababccbcaacacbabacbcbacaacbacbabccccabbbacccacabaabacacbcabaacbaacacabcbcccbcbccbacacbbbabaaccabcbabcbcbbbbbaaabaaaaaabbabababcbaaabcabbabcbcbcbccbcababcaaabacbacaaaaabccaaaaabcaabcccbaabacccaabcbcbbaababbaaccbbccacbbacbbabacccabccaaabcabaacaaacbacccbcabbcabacaaacbbcaabcacabcaccbccbcbccaccbbaccabaacabbbcbbcaaaacbbaaabcabbabaccbabbcacabbbcacacbbbbcbaabaaacbcbacaabaccbacbbbabbbbbaababaaaacabbcbcbbabccbbacbbaababcbaaabcaccbabacabaacaabcbabaacaccbbaccaaccaaccaabcccabacccccacaaabaaaccaacabbccaabbcabacbaacbabcbbcacbcabcacaacacbaaabcacaabccbcccabccaccacaccbbbcabbbbcacccacbbbcbabccabbbacbccbcbcacbabccabbbcbbcbaacabababbbabbbbcaabbccbbbbababacbbcbaccbbbaaaabcbcbcabcbbaacababcaaabbaaccbbabcbcaaccbabbbaacabcacbcaaaaaacccabaaaacacbbabcaaccbcabbbbabaacaacccacabbbcabbbabacbbcbbcababcabbabcbaccacacbbacbcbbcbbcacccbcbbcccaabbbacccaaaaabbbaaacaccbcbaaccacabcbacacbabbbabaabcbccccacaaaccacccbcacacaacaaccbabacaacabcbacbcabbcacacaacaababcaaababcbccccababbcbabbcbabcacccabaabccbacbbccbcbccacccbccccbcbaaacacacababaaaaaacabaccabaabcacbbbbcccaaacabbaaacacbbbaaacbcbccbbbbabaacccacbcbcbbacbabcbaccccbbcbabccbacacbcabcbaababcbabababccaabcacbaabbcabcbaaccabbabaaabbbaaaccccaabbcaabbaacbcbbbcbacbbbcbbaababaaabaacbaabaccbbaacbbaacbccaaaacbbcacbcabbcbccbccaaabbcbcacbacccbcabcbcaaacacbacacaaabaababcaacaabaababccabcbbcaccccccaccabbaabcccbbccccbccbccaaaabacbaababcccccbcbacabbbabccccbbcccbabbaacaaccbbabacabbcbbcabbacabacacabbccaabaccabbbcbcaaaacabcabbbbbacbbbbbcbcccacbbaccbbaacbcabbacccaabcbccbaaaaaacbcccbacbaabcacaaabbacaabaaabcabbababccccaacbabcbcbbbaccabaaaaacacbbbaaccaabaabcbabbabcaaaccbccabbaabbbbbbaccbccbbabbabaababbbbccaaacbacbaaaacccbbacacbcbbbcbaaccbabcccbaaccacacbbcbccbbcacaaabcbcaccabcccaaccbaabccbcaacacbbccabbbcbbacaaccccccababbcabcbcccbabbaccbbcbcaacaacaababbbbaaaacacaaaaaccccbcbabababcabcccabaaaaabbcaabcaabbabcbacbabaaababaacbacabacabacbaaacabbbcbaaccaacbbcabcbbcacbababcaacacccccababaacaacbabccbacbccbabcbaaccababbbbbbaacbbbcaacccaaaaabcbccbabbacaaabcabcccbbabacababaabaaacbcbacaccbbaccabbccabbbcaccabbcbbcaacaacaacbbcabcbbbcacbaaacccaacaccabaccaccbbccccaccaaaccbbacabbaaaaaccabccbababcbccbcbcbcbcbcbabbaccaabbbacaaaababbaabababbaacbaaabacbaabbaabcbbcccbbabaababbbcacbbcbaabacababaaabbaabcccabbbcaaacbbccccbcacbbaabacbcabccabcbacaacbabacccaacccaaacbacbccbabcabbacbccbbbaccbaaccbaacacaccbbbaababbcccababcaacabcccbcbbbcbcacaccaabbcbbabacbcbaacabacbaccaabaabcabbbcbbcabaccbaaaabbaaabaaaaccbacaacacacbacbaabccbccccacbcbcbcaabacbbabaabbaccbaacbbabaccbbabcbaacbaaccacbbcccbcbcbbcaabbacccabccbbcaaacccbbbcbababbcbaabbcbabbbbcacbabcccbcbcabbccbaaabcbbcbaacacbaccbabccabbababbaacbabbbbccaccacbcbcacaabcababacbbbcaacaacbbbabbaccacccbcccbaaccccbcacbcbccbcabcabaacccbbccbbaabcacabaaabbabcabcbbcbcbbbcbaabccbbbabcabbbbaccacbcbcbacbacabbcbbcaaaaaccbbaacacccbbaacabbabcabbabbaacbbacbaccbbbbcabbcbcbccbabcabcccaaacbbaabcccbcaaaabbcaacbabcabbaacbbccababaaaabaccacccacbbbcbacacacbcccaabaccaaaaaababaabccbacabcbacacacbcbbacbcbbcaacabcccacbaaabcaacbabcccaccbbbbabbbccaaaababacbabcccacbcaccbcaacccaaacaaaaccabacbabcbbababcccccabaacbbbccccbcaacbbabbccbacaacbbaabcabbcabbbaaabaccabbbcccccaabcccaacabbccaacccbccacacacbbacbbcabacacaacbbaabbbcbbbaaaaccbbbbbababbaaacbaaacbcbbccabbbcbbbcbbbaaaaacaacacccabbabbbcacbaacabaacaabaacbbaaacccbbbcbcbaacaaabbccaacbbbbccabcbabbbababcbbaabaccbaabacccacaaccccaaababaaaccaccccbbbacabaacacaaacbcbbbccbbcbacccacccbcccaaabcacacabbcabbacaaccbccbbbccccabacabcaacbabaccbabbacaacbaaacbccabcbbbaabccabaacacacacbaaacbccbccccbacabacbcaaaaccccabbabccacbbbacbbbcabcbbaaaacbabccacbbaaabbacaacbacbccabcaabbaccabacabcaacbaaccbbccccbcaabaacbabcbaabccbbabbaabaabcccaaaabacbcbcbcccbaaaaaacbabbbcaacabccacacbbccaacacbcbabacabaacabcbbbaabbccabbbbccbaabacbccacacccaccbbaccbbabaaaabcccababbcbcbbccabccaccbabacaabbccacaacccbbbcacbccacaaccabcacbbcbacbaabbcccccaababaabcaabcbacabcabcacacbcbbbcbaccaaccabcaaccabcbcbbbaabbcaaaacabcacacbacbcabaccaccabcbbaccbcbbccabbbabacbccabbcbabcacbbbacbbacabbbcbbbbcabccbbcabccabaccacabbcccbaaccccaccbacacaacbcccbbcbabacccabbbbaaaabbbcbbcaabbcabaacbbcccaaabbcacaccbccaabcaabcccacbcbbcccacccbccbabccccbcccbcabbbbbacbcbbccabcabacaabbccababaaaaacabcaacbacaaccababacaacacbaabbaaccacccbcabacbbcbbacacbacbacbbcaacbabaabbaaccaaabababacccaacabcbcaaaacaaabbbccccaaabcccbcbcbcacbcaabbcbcbbacbbcbbbbccbbaaacacabbbcbbacbbaccbaaabaacabbbacaacacbacacaabcbaacbcabacbabbcaaabcaacbbccccacbcabaabcaacbbabcbcacbababbccccababbbcabbcbbcabacabaaacbaacabbacbcaccaccbbbbbcbcaacccacacccbbaccacaaaaccaccbcabaccbaaccaaacbbcaccbbccbcccbacbcaacaacbcbcbaababbcabcacccacabbacaabbbcbbbbaccbcccbbbbcbbabcaccccabacaaacabccabbccacaccbacbbacbaaabbabccacbcbcacccacbcccaccbabbbccbbbbccaacaacccccbacaaacabbccbcacbaaabbababaacacacbbbbbbbabacbaabbcbaacbbbcacacbcbcaccbabacaccaaaacccbcacbbbbcbbcbaabaacbbcabcbaabcbbbcaaabbbbaacbcccbaaaaaccccbbccababaaaaacccbbaabccbbcccbaaacacaccacbbbcabbcbcbcacccccabcaabbcaabaacacacbbcbacbaaababbabbaacbcabaacccbabcbccabcaacacabccccaacbcbcbccabbaaaabcabbacaaabccbbcacbcacbbbcacbaaaabacaaabbcacaaccccbbabccabcabbcbcbccaabccccbacbabbbcabccaacccaabccbabcbbabaaccaaacccaaabccacbacccbcaabaccbbcbbcbbccbaccccaabcbcaaaaabbcbabccabcbbbbbcbacbbbaaabaaccabbccaacbbbaaacabacacbbacbcbcaacabbcbaacbcbababbacabacbaacbabaaaccaaaabbabbaabbccbaccaaababacacbaaaacbcbcbbcbabcaabacbaaccccccbbaaaaacabaccaaacbcbacccccababcccbaacabbcaccaccacabbccaaabbcacbbccacabcbcbbcbaccacbbaabacbabcbbbbbbcacbacabcbcacacabcbcabaabbacbbbbbbbbbaacacacacaaabbbabcabcaaaabbbbabcbacaccbcbcbcbbbccbcbbccbcbbccbcacccbacacbbcabbacbaabccbcaaabcbbcabcaabacacbabcbbbcaacacabbaacbbaaabcabacabaaccccbbcccaccbbbaaabcbbacbbccbabccbcaccccabaccacbaaaabcccaaacbbaacbbbcbabbcabccbcbcbabaaacaaccacccbcaabbbcbbbcabbbacbbcaccaacbbabbabcbbababbaabcbcaaccabccaccbbbccccbaacaccbcbccabbbacabbbacbabbabacbababaaabacacbcbcabccacaababbcbacbcbacbcabaccabacbacacbcccaaaabaabccaabacacacbacbacacaaaacbaabbabaaacccacccaccbbcbabccbbcbbbaccbcbabaaacaabacabacbcabccacabcabbccabcaccbaabcabcabcbacaabcaacbaaaabcaacbbcabbcaaaabacaaccccccaccccbbaabababbacabcacbbcacbbcaaaaabcbbcbcccabcaababacacccacabbcbabaabacccbcbcbacbbaccbaabbbcbaaaccababbbcbbbcabbaacbcaaaaaaaacbbaaccacbbcbccaacbabbabcbaaccacaacbbbbcbcbcaacacacbcbabccbbabcacbbcbbaaaccacccaaacacaacbabccbaaccbabbacaaaabbcbbbcbbcabbcbbccccbacbbcaccbccbbbabbccabbbaccbacbcbaaaccbccbbbccacaaaaabaabbcbbabaabcacbbbacbbacbccccbcaaabcaccacbbcaacbbbbbbaccbcabcaabbabbbcbbcabcabbabbbcbccacbcbcccaabccabaaacbbbcacbaabbbacabcbaaaacbcaaaccabbbabbbcbbcabccacbbccabbbccabbbcacbacacbacaaabcbcaaabcbccbcccabccaabcbacbacaabbaabaccaabbbaaccaccccbaabbccaabbcbccacbcaabcabcaaacabccabbbbbcbababaabbbcaabbaaccccbcababbbbcbbaabcaacacbccacccaabcacaacbbacaccccaaabacbaacccbababcbbcbbcabcaabbcbbacbcccbbaaaaabccbccccbccacbababcaacacaabcbbabbacacbcaccabcabccaabbbbaaabbbaaabbbbbcacbbaccbbbaaacabacabcbcaacbaacbbcbabaabcbbabaaacabbcccaacbbacaccabcabbaaaacbbbbcbcabacacabcccaccbacabbabbcbaaacaababcbbabcbbabbcabbbcabbcaaababaaaabaababbabcabbaabacbcbccaaaabcaaaccbcbabbabaccccccbaabcbcaccabbababcbbcacbcaaacbcbbacabbbbbbabcabbbcbacacacababaabbbbcabccbacbbaabcacbcaacbbaaccbaaccbcabbaabababbbcbacccbacabbcacbaaacbacbccbcbaabaabacaacccaaccaaabcacacbacaabcbbbbcccaaabacabbacaaaacabaccabccacbaaaacaabbaabbbbababbcbccacabbabacbbccaaaaaccababbacabcbacaacbaabacbababcacaabbcbbbbacbbcabcacbabcccbabbbcccaaababaabaaacacaccabcccccaaccccbaacbabccaccacbcccaccbcbcbabcabaccbcacacbaaabaaabbabbcbcccacccaccbbbbcbbcabbaaabaaabcacbccbbabbbacabbaccacabbabbaaabcaccbacbcacacbbabbbaabccbbbbbccabbbacaababbcabaabcccbacccbcbbacabbbbbcbaacaabacccccbbabaaaacbbccaccaccbbaaaaaaaacaacbcabccbbaccaabbcbacacaaabaccbbabbbaabbcbcbabbabbbcaabbacbabbbcabbabaaababcababcabbbbccbcccbcaaabbccbccbbabbbccbcbbabacaabaababbcbbaabaaacbcccaababcbbbbcbaaabbacbbcabacbcbbcacacbbccbcabcbcacaabacacbabbcbabacabccbcbbaabcaccabcbacbccbaccabacabbbccccabbaacacacabcbccaabcbabbcccaacabbbacaaababcccbcabcabbaccabaabcaacbccbabbccaacbacabccbbacbbcabcabbaccbaabbaaccaaabccccabcabbbbbaccaccabcbcaacbbbacacabababaccbaacccabccacbbbacabbbaacbacbcbcccabcbaaaaaacbabcccbaacacacbbbbababbccacccacbbccabccababacabbbbbcbccaababcccaaccbccbcbabbaacbbacbcccaababbcbabbbcababbbacbaacbbabababcabaabcaaabcabccbcbacaccaaaacacaaccbccccbacbaccbaabacbbccaaabacccccbbaaacbbabbbbbcbbccaacacaaaabbcbbcccbcbbabbcaaabcaccbcabcaabcaccabaccbbcacccaaacabcabcbbccbccaaaccaababacaabbcbbcccbcbbcaabcacacbbccbbbcabcbcbbaaccaaaacbccaccbabcbaabcaccaabbababaacabbbbcbccababbbacbbabbbbaccbabbbbabaccbababcaaabacaacabbaaacaacaaccabcbbcbbbccbcbcbacccacbbcbcabbbaaaccbbaaaabacbabcbccbbcbaacbababbbbcbcbbaababccaababaccbaccacaccacababcbbbbbbcbaacbabbacacababababbaccabbcbabbacbaaacbabaaacccbbcbabbbcacaababbababbbcbcbacaaccabcbbbabbccbcccacbcbcccccaacccacaaababccacbccabaaaacabacbaabcaccbccabbbbcaaabbbacabbaacccacabbccbcbcccbbbbaccbacabaccbbabbaccbbaccaccccccaaabaaccbaaaacabcabacabbbabcbbbaabcbccbaaaaccccacbaabcacbbabccccbbabbaacabacabbacbacaacaccbbbaaacccbcbbccbbbbacbaacbccbaacbaabcbcabcabbcaacbbbcabccaabcbaacaabccaaccbaabccbbaacaabbaabcaabccaaaabacabcbcbbcbaacccbbcbcabcbaccbaccbbbbababaccbacbcbbcbacbcbaaacbaabbaacbaaacbabacccaaabbbcbaabbbbabbcbbcaaabbccababaaaccccbacaabaaabacbacabcccbaaabcababcbcacabbbbabccabbaabaccbcaccbaaaaaabbccbccaabbbaaaabcbbbbbbaccbbcbcacccaacabccbacbbbabccccccbbcbcccccacabacaacbbbabbcbababaaccaccbabaababcaccbacabccccbcaaacacabcbccacabcaccbcabcbbcbaccbcbbabbbcabacbbaacaaccbacbbabccaaccbbcabcbabaaccbabbcbbabbabbaacaabcaababcccbccbabababaaacbcabababaaccabbabacccbbabcbcbbcbacaaccbbcbcbbbaaabbbabababcbabcbaabbbcbcbbbbabbaacbacabcbbccabbabbbbbbcccbabacccbacbbbabcbacabaaacbbbbcacbaccabcaaacacbaaccccaaabcccbcbbbaaaacbcabaabbaabbcabcbcaacccbacbaaccccccbabbcbbcccbcbbccacaacabcbcbcbabcacbbcbbbccaccabbcbcabbaaabaccbbbcacbbcaabbccabcaaacbcbbcabaabbcacbbaacccbccacabaacbaaaaaccacccbcbbbaccbbbaaabcacabbbacbcabbbcbccaaccaacbcbccbcbbcaaaacccccbaababbbacbbabcbbaaccccabbcabacbcaaacacbaababbbbbbbbacccbbabbcbcbbbcbbbabcbbabacaabaaccccbacbccaaabcbacbbccbcaccbbcbaaacbabbcbabaaccbbbbcbbccbcbcbbcacbbcaaabacccaaccabbacaccbacbcabbacbaacaacbcaaabcbbbbcabcbbbcbacbacccbbabcccccacbcbbacbaccaaaccbcbbcbcbbcbaaabccbaaaaacaaccbccaabcbbbcaaccbcaacabacaaacbbcbaaabcabcbbbabcbbbcabbbababacaacacbcabaabbcbaacabbcaccbabacccaabaaccbcabccbbbaaccaabcbacbbcaacbacccbbccaccaacaaccaacaabcaacaaabbacaaaccaabaaaaabbbcacbbcaacccabbacccbbbcaaacccacbaaccabbcccccbccbccccabccbabacaacacacaccacccabbabbcaccbcbbbbcbaccbabbcbcbacaabbabaacaaacbbbbaaccbbacaccbccaacbcbcccbbbbbaaaacacccccaaccbcbaccbabcccbaabbaabbacaacaaaabccaccbbbcbbbbcabbccacbbcacaacbacbacacacabaacbcccabcbaccbbabcbaacabbbbbcbacacccaccbbccbbacaaacbccabaaabcbacbccbabcbccaccbababbbbbaacbcabbbbcaaababcabcbbacccacbabacabccabcccbababbcbacabcbaacabaaacacacabbacbcccacccbbcaaabbabaaabcacbacbbbccbaaacababacbcacbacabaacabbbcacacbbccbbaccaaaabbcbabababccaaaaabcabcbacbaccaccabbccbacbccbbccccabcbcacbcabacabbaabccbcbcbacbacbbcaaacbcbabbcbaabcbbbacabccaabbbacacacababbbcabbcbbacccbacbcbcaabbccaccabaabcbaacaabbbaaacbbaaaabacbcacbbabbcccbabaabccbbccbccbaaaaaaaabbccccccababbcbbbcabbbbbaccacabcbcaabccbccbbcbccabcabbaaacacaababbcccacccbbcbabcbcbbcacbbaaaabcbcbbaacbabacaababccbccacccaaaccbccaaaaabbbbbcaaaacbacbbacbbabacabcbbbbabacbcbbbccbcabbcbabbcbaabaaaccbbacbccaccaabccaaacacbcbbbaabbcaabacaccabcbacaccbabbcaccaaacaaabaabbcccbbccaaabbabcbbcabaccccacaaaacaabbaccbaaacbbcacabbcaabbabccabcbcaaaaabccbbabbcacacababbbaaccaccbbccccabcccbaccbccccbbbcbcaaacbbcaacbbabccacabababbababbccaccccbaaabbabacaacbccaccabbcbaacabcbaabccbbcbccaabccabccbcaabcbbbbccabcabcaccaccaccbbbabbbbaaabcbbcbacbbbabacbcbcaababbbaabcaccbcbaaacbbbbabbaabbcabbcbcaacccaccacaaabbbaabaabccaccbaabccbbbbacacacbaacacbcabacaababccacbabaaaaabbbcbacacacbbbabbcaabcaccabaacabcaaccbcbacbcbbcaabcabaaaabcbccaabbbcbcbcabbabaaaaacbcbccaaabbacacbcbcbacababaaabbcbaacabacbcacaaaccbbbcacbbbaacaacabcabbbcbcbbbcaaaaccccccbabcbbbccbabbcaabcabbbbababaaabbbacbbabaabbcbcaaacbaaaacaccacbaacaccccaaaabbccabbacabbcbcbcbbbacbabcbcccbcababcbabaccbcabccbbcbcaabaaaaaabacccabaabbcacaaabbccabbacaabbaccbacbabacccabcabcabbcaacaabcbacaaaaccaabaababccbbbbaacbacabcabccaaccbbabbccbaabbabbabcccaaabbaccaabccacabababbbacabcbbabbbcaacacbbabbbbaaabcbbcbabacacaaaccccacabbccccaacabcccbbabcaacaccacaaabccbacbcabcababbbcbcabbbacaccbabcababccccaaaccaaacbabbabcabacccabcbbbbbcbbbccaacbcbcbacccaabbacbbbacaabaccbcacbbcabccbccccbbcacbcaccbaaacbabccaccbbaaacccacacaccaababababcbacbaacababcbbabccaacbcbbacbccbcbaaabbbccacbcbababccbaaaccabaaaaccaabacbbcabbabbcabbbcccacbaccbbbcacbbbbccccbbcbbcacaccacbcbabcabbcbcacaabccbcccabcacabbbcbbacccaacacbaaacbccbbababbbbaacbcbacaccabcbaabcbaaabbbcabbbcbaaabccbbcbcbcaaabcaccbbbbbcacabbcbbacabbbcaaaacccccaacbabcbaccccbaacabbbabcccbbcccabcabbaaccbcaabacbbbacbccacbabbabaaccbabacaccbcaaabbbacababbbcbaaccbbbabacbcccbbabcacbacaaabbbbcbcababcccacbbabaaccacabaabccbcbcacabcababccabcccbcbcbaabacbcabcacacbacccbaacabbcbcbcbbbcacbcabbbabbcaabbaacbcbcccbcaacabaaabaccabbbacaabbbbabababcbccababbbcbcbcaaccbccabcabacbcbbbabbccbbcaaaaacbbbcbccacacbbaaccaacababcaabcbccaababcabcaabbcccbcbababbcbabcaccbccabbccababacbabaaabbbaacbababcabbcabbccbbcaaabcacbacaccaaacaaccccaccbccbbaccaabaaccbbccaabccccacbbaaabaacbaabbaaccbacacaabaaacccabcbcccabaabbccabcccaaabcbcabbccccaacbbacccabacbbcbacbbcaaccabbbaccbacbbcaacabcccbccbbcababcccbbaacbbbccabaccbbcbcbabcbcccaccbcaccabbaaabaccacaacbabccccbccbbbacbcacacaacbbccbbbaabbbcaccbabcabcbcbbbabccbbcbbcababccaaaaccaabbcbbbcaccccbbcccaaacccacbcbacbcccacccaabccbbaaabbbcbcbaccabbbccaaaabbabcbbacabbabbabbaaaaaaabbaabccabccccabcaacbcacbbbbccaaaacbbcaabcabcacacbccabcabcaaaccaacbcbcacacbbcccbbbacccccbcaccabababbcbacbaccbbbaaaccbcacbbaccababbaabbbbacaaabbcccbccbbccaabcaabbbccacbaabbccccbbcabbaaaabbccbbcabcaacbccabcccacbaccababcccbcaabaabcbccccbbbbaabacaaacaccabcaabcabacbaacbccbbbcacacaabccbbcacaabccaabbcabacbcbcccabacccbcaacbabccbccbcabacabbcabaaccaccacaccccacacaaacbaccbaccccbcccaccaccbbcacccabaaccaaabbcbccacaacccbbbcbccccbaccabaaababbabaabbcbcbbaabacbbcbccccbabaccbaacaabccbabbbbabccccaccccabbaaabacccbbcbbcbcbabbbabbbcaacbacbabababcaaabbbacacabcbcbabcaaaabaabccbccaacbaabaacabccabaabbacbbcacaaccaabaaabbccaabcacabcccccbbcaabcaacacbcababbcbabbbcbabaaabbcaaabbbccbcaacccbcbbabbbbbbbbcaabbbbcbabcabaaabbcaabbcccbccbabaabcccaccabccbaaacccbbaaaccaccabcacabbcbacbbbccaabcabbabbbacccbcabcbccabaaaacbaaacaaacbacbbaaaabbbbaaccabaaabcbcabbabcccbccbcccbbbbbcbcabcaaaabacabacaabbbbccccacabaccbacccacabaccccaabcabcaccbacbbacabbcccacaaaaacbcaabbbccacbaccbbaacacbcacbcabacbccacbbcccbbaacbacbccababaacbababababbaaccbcbbbcabccacbacbbabbbabacaccacaabacccabccabbbaabcacbcbccbbcaccbacbcbbacccbbcababbababababbabbaabcbaccbcaacbacbbcbbacaacabbabccbcbcaccabcabbcbaacbcbacbbcacabcacbababbabccbaaaaabcabbacbcacacccaabbcccbaabaacaaaacbcabbacccccabaccacccbacbbcbbbbbacbaccbabaabbbcabbcaabcbabbbccaccbaaabbbbcbaccabbbabacccbabccbbcccccbcacbababacabbbccabababbcbacaacaaccaaaaaaababccabccccaacaccaababbbcccabbababbaaaacccccbacccbbaaacacabcaacccacacbcacbccaaabccacbbabcabccacaabcbabacbabbbcaccbabaaccacbabccaaaaaabcbbbaabacacccccabbbbbcaccababcbacbaabaabaaabacaacbbcabbccccccbcbaabaaccababccbcbcbbbcbbbbbccbabbcbccaacabcbccaccaccbabbbbcbaacbcabbcabcbbbabcbaaaccaccbbccbabccccbccabbaacaacbababcbaaaacaaacbacbabcacababbcaacccccabccbcacbaccbacccaccbaaacaaaacbbaaaccaabcbcaaacccabcaacbbbcccbbbbabbaaacccbbbbbbacaabbcbbacaaccabbcccacabababaaaaacbcbcbbbbbccbcacaabaccbbbacbcbababccbccacccababcbabacbcacabbbcccbccbcbbaccaaacccbbbababbbbaaaacaababbccabacbacbcccbaabaaccbccbbbaaaaabbacbbabbcccbbcbcabcaaabbcbbcccacaaccccbacabbcccaaccacbccaacacaacbcccacacbabacbbcacccccccbabcbbcabacbbbcacabbacbabbccbcbccabbbcbccbcbaabccabbacabcabcabaababbccaacbbbaabcbccaaacaccacbcbcacbccacbabaccabbbacbbcabcccbabcbbbcaccabaccaaacabbacacbcbbabbcbbbbbcccbbbcbccaabbcbabccbcaaacacbababaacbaacbbbabababccbabacaaacaaaccaaacbbaababbaccbccacccbaaabbbabacacabacbbabaccbcaaababcbaabbbbabccaabcccbcccaabaacbbcbccbaaccccbcabccabaaabcbaabcbabbccccbcbbcabbacacaaccbccabaacbbbababacbabacbcbaabbbbaacbccccccabababcbbbacacbccbabbaccaaacabcbccaccccbacabccccccacacbacabaccabaccacbcbbaaaacbcabccaccabbbabbcacccabbcaaccccbaacbbcaabaccbcabbcaacbbabcabcaaaccbbaaaaabcbccaaacbaaabcacacabaacbbccaccbbcbabcaaacbccbaaaacacbcabbbacbcbcaacabccbcbcbabcbabcaabcbbccbacabbbaabcbacbbcaaacbbaccabcccaababacabcaabacacaccaacbabaaabaacabacacbaccbccaacccbbcabcacaaabbcbbbaabcabababacbbacbbbbbcbcabaccaaaacacbabaabbacaabbaaaccabcbcbccaabaaaaacbaaccccbaacaabbbcbcbbcbabaaaccbcababbabcacaabccbbbccabaacbacbccbbccbbaabbacbbbcbbcaabcacababaccbbcbacbacabcbcbacbcaacccaacccaacabcacaaaaaababbcabaacbaccaccbbcccbabaabcaabccabcccbccccacaacacbcbccaabccabbbccccbbbabcaacacbbbcaababacaacbbcaacbacabaaacacaaaabbbbcbccbbbccacbcbcbbabcbcabbccbbbcabbbaaccbbcbabcccaaaabbcbaacacccbcaaaaaacbbacaccbcaaccbbacbcbaacaaaabbacabbbbbccbaccbcaacbbbbcabbbcbbabbccbaccbaabbbcccbbbbabcacabaccbbbccbaaaaabaacbbcaabaccaaccbabbccacbaccaacaaaabccacbabbacbcccacabccccaacaaccaacabaaacbccbabcabbaaccaacccaaaaaabaacaaabaacbcbccabbaabccabaccbacbabababaccacaaccaccbbbbabbbbaacccbcacaacbabbbacccaaccccbbccaacbcaabbcbbccaaababbabbcbbcabbbbcabcbabcaabcaccbcbabccbcbaacbbccabcbcbaacbbabbabbbacccacccbacbbbbcbcaaabaacccccaabcaaabccaccbaabccbcbcccccacbbbcccababcbacacabccbbaababcbccccccccbcbbaacabbacabbbbacbcbbcbccacccabbaaacabacbbbaacbacabcaabcaacaaaccacaaabbaacbacbbccaccccccacccbbcaaaaaabbcababcaacbabcbabcaacabbbabaacbcbcaccbbaaababcbcccbbcbcabaaabaabcababbacaacbbbcabbcccaaaaaccaaacbbcbbcacabaaaabaaabbcbaabaabcaabaabcaaabaaabacababcabbbbacccaccccababbaaacacabacccbabbacaccccbbabacacacabccaacacccbcacacbbccacbbabccacbbaccabbbaaccaabbbbcaccabbaabbcccabbbaaababcbbbbcbcbaaaabacbaacbbbcbbbcbbccbbbbababbcabbaccacaaaabcaabacccaababaabcbcabababbbacbabcbcccbaccabcbacbbccbbbaacbbababbcabcbcbbaabcaccbcbbbcabbcaabccbccabbbcccabababaabcccbcbabacbacbbaccccbcbbcbbaaaabbbbabbbcabcbbccbaabccbaacabbcacacacaccbacaaaaabbaacbcacaaacccbababbcacbcbaacccacbbbccbaabaacaabaaccacbcaabcaacbaaacabcabcabbcacacaaabccacacbabcabbcbccaacacbccccbcbcaacabaaacbacaacbcbabbbaccbbaabccacabcaaaccabcbccbcaccbcaabcabbccacaabacababaccabbccbabaaabbccbcccccbaacbcacaacababbabbcbcccabcacaabbbcacbbacbcbbaccabccbcbccbcacabbaccbaaccbbbbacbaabcaabbacccbbcaabcabbbbaccccacacbacaacaacbcaccababcaabbcbaaabccaabbccbaacabaaccacaccbabbcaacccabaacabcaaabbbcbbabaaaabaaaaacccabbbbaabcacbbcaccababacbbbaabbccaaaccaaacacbabcaabcabbcaabcacbaabaacbbababcaaccbabccacbbcbbbbbbbcccccabababcbababcbaababaaabbbaaaaabcacabbbcacbaacbbaacbcaacbacaaababcbcbaacabaaacabbbcaabbbcbbcbaabcbacbbbbacabcababcabacbaacbaaaaacccacbcabcbbaccbcacbbbbacbbaaabbccbccccbcacbabcccabcccaaaabbcabcbaabbabbbacaabcaabaacacbcacccccabacccbaaababacccbbababbbacbbacabacabacccccbacabbabccaacbcaccacccbcbcacccaabbbcbcacabcbbcacbbcbbbacbbccccacccacacabaccacabbbaaacabccbcabbaaccccbbccaaaaaabbaacacabacccbacbbaaccbcaaacbacccbcbaccbababaaabacbcabacbabccabcbcbbbabccbcbcbccaabbcabccbacabbbcacbacbababccbabcaaabacbbbbbaababaaabababacccccbbcbbaccccbcaccbaaccccabbbbabcbbcabbacbabaaccaabaacbbcbacabbbabbcabbbccbccbcaacabbcbbacccbacabaccccaabaaabaaacbaaabccbcaacbcccccbaaabbbaccccaaacbccbaaacacaabbcccaabbaacabbabcccccacabaabbbbaccaabcbcbacababaabbaaaaacbbaccaabacabcbbabbcaabbbacbabaaaccacabaaaaccbcbcbcabccaccaacacccabacbabbaaaabcccbcbaacbbacbaaaaccacbaaabcaaaaabcaabccbaaacbaccacccaaccaaccbcbcaaabbccbabacabaacbbababbcabcabacbaaacbbcccabcbababaaaaacbcbcbcacbacbaacbabaaabcacabacaacbbcaacbbacabaacbbccbccbcbbcabaabcbcaccacbbbcabaabbcbbbabcbbcccbcbcbbaacabcbbbccaabcabcbcccbbbccbbcacbaaccaabccccabcacccbaacaaacbaaaaacccacbcaccccbaaacabcbbaaabcabaacbccaacbbccbbcabbbaabbcbacbabcbbcbaccbabbcaacabababbcbaccabccaabbbabcbbcbcbccccabcbbccbbaacccbacabaababaabbcabaabbababbacbababcaaaabcacaaaabaaccbabccccaaacacabbbbacabbccaabaaccabababbacccbbaaabcacabbbbabbcaccbacaaacbabcbccbbcbbbabaacaccaabccbabbcbcacbacbcbaacaccacbabcaaacaccccbaaaabbbbcacabacbbcaaababccbaabaacbbbcaacbbaaccabccbbcaccbabbbbbacabbbacbaccaabcaccccabcaaacccaacabbbaabbcbcbcaaabccaacbbabaabababbcacbcbbaabacbabccacbcbcbabaabbbacbbbbbcacbbbaccbbaabbbcabccaaacbaaacbbaaacbccacbcabbaacbacbbabcbccaaacaabbcacabcbaabcbcbcbcbbcbcbccacabcbbaccbcbbcaaaccaabbbaabcabbcccaacacaccbbabbbbbccccacbabaaabccabcacabcacbcabaabaaaabaaacbbabacbcbccacbbcbbccaaccaaacccbbbacbabcbbabcaacccababbbbbbcaaccccbbaabcbcbaaaaabaabbbbcbaaabbaabcbccccbaababcbabaccbbcaaababcbaaacacccacccbbcacbaacabbccaccaaccccbacaabaaccbcccbbbcacaaccbacacabbccbbababbccaabbbccabbaabbcbcbbacacbbbbbcbabcaabcabababbbcaabaabaccacbbaccaabacabcbccbcacbaababbccbcccacbccaacaacbabcaccaababbacacaccccaacacbacccbcccabcbaaaccbbbaaacbccabcbbbacaccbcabcbbbabaccabbccabbaaaccbbcbbbaacaccaaaccabbaaaaabbccbbaaaabbbcaacbbcbacaabbccabcccbacbbacccbacaccbacccaaabcaabcaccccabbbbacbbabcbacbbbabbaacacccbccababccaccaccaaaaccbaccacbcccbbbcccccbcaaabcabacccccaacabacbacaacabcbacbcaacccccbcbacaaacabccbcaacbccbcbcbbaabcabcbacaabcbcccbacbcbaaabccbcaaccbabbcbbacaacabcabbbcaabccccacccacccccaacaabcbccabcbaabacabaabccaabbbcbbcbbcbcbbcabbbbcabbbccabbcbcbabbbbabcacacabbababaccbbaabccacbcaccccbbaababcabbabbacabcbbcbbacaabbbcbbaaaacaabaabbbbbbcaaccabacacbbbbaacbbabcccaccabcbbacbcbaabcccbcbbbbabbabaccbaabccaaabbabaabcabbabbcbbccbcababbcaacbacbabbccbaabaaabbacaccbabbaaacaacbccaccbabacccbbccbcbcacaaccabccaabccbbacbaaabaccbbbcaaccaaccbbbbaabbbbacacaabbcbaccbabacaacaacccacbbacbacccbaaaabccbcbbccabbcacbccbccacccbccbaaabbcbcbcbbcaaccbcccbcababbbcbacccbabcabaaabacbbabbccaabbaccbacbacbabcbbccabbbbbbaacbbcbcaabaaacccbaccbabbccbbbcbaabacabacbbbccccaacbacaaccbbbcccaaabbcababacbababaaccccbbaccacbbbcccbacabcacacbaaabaccabccbaabccbbacbbcabccbbccccbbababccabbacaacbcacccbcaaaaabaaabbaacbcacacacbcbaacacbccacacaaccbccccabcbbacabbcbbcbcccacbbbbcaccabcbbbaacabcbbcaabbbacacbccbcababcbbbcbcaccbbbbcbaacbcbabbccbcaccbcccabbccabababaabaccbbabbbcbbbbaaccababaaabacabbbbcbbcabacaabcaabaaaacbacbacabcacabbccccbbcbabcacacccbcbbbbcaacbabcacabcbccbbcbcbaaabaacbcabbabcacccbbbcccbcaacbaccccbcccccccccbababcbbbcbcaabcabcbbccacbbccbbcbabccaccbccbcbcbbccabcbcabaaaaccaacbccabbcbaacbabcaccccacacbccbacabacabbccabcccabbbbabbacbcaccbaccccacaccacaaaabcbcbacababbaaacacaaacaccbcabaacabcbacaacbbacacbbacbbaccaabbaacaacccabbbbabbaccbbabbaabbcbbaccccaacbcaccbbcccbaaaabcbcbabaccacbacacccaaacbcbbaabacbabaccabbccccbcaaabcaaaacbccccbaaababaccabbbabcaaabaacaacbbcaaaaccccacaabbabbcbbcaabccabccccbabaacbbaabaabababbacabacbbcbcabaacaccacbccbccccccccbbabaacbabcacabcabcbcccbacacaccaacbaabbcaacaabcbaaaacbccccaacbccccccbbbccccaccabcabbabacbcabcbacbcccabccaccaacbaacacbacacccbbacbabacbbaabaccbaccabcccbaccbbcacbccaccaacbbbbcbabccacccabacbcbaccbaabcccbabbcacbbbbcccbcaabaaabccbccaccbabcabaabcaabcacbbabcabbaaccccbbbcacccbccbacaaaaccbaacacabbaaabbaacbacbbabaaccbacbcbccaccbbcbcaabaccbaacbbbbabacccaabbcacacbccacbcbccabcbbccbacabcbacacbbbccabccacabccbacababaabacbcbcaaccbccacaabaabcbccaabbbacabccacbcaabbcbcbaccbbccbaabbabcbcabcccabcacaabbaabacbbaccabbccbacbccacbbaccabbaaacbccabbcabccbabcbcbcccaabccabcabaaccaabcaaaccacbabaccabaabbacbaccabababcabbbbbabaacabaccacabaacacbbaccbaacbbcbbbacbabcbbbccbbcbaacabcbbbaabacaacbaccabcacbcaabccbababacbacaabbaacaaabbbaacbabccbbccccbcbcbaaccacacccaacbacbbcacacbaccbcbbabcbbccabababbbcabccbaaaaabbbacaacaaabcaaaabaabcbcaaacccacbbccaabbcccbcbaaabccaabccbbcaacaacaabcbacbcbabbabbabcbaaaccbaabcbcaaacbabbcabcbabacabbbccaabcaaabaaabbbbacaaabbabbcbbbbabccaccbbbacbabcbcaaabbcbbcbccacccbabacaacbcbbbabcacbbbacaabcaaacbcacbacacabbaaacccbbbbbacababbcaacbaabccaaaacccbbcaacacabcbbbaccabcacabcaacacacaabacccaaacccabcccababbcbaabbbcaaccccbcaabbccaabbbabbacbcaaabbcababcbcaaacabaacaacbbbbaabbabcacabbaaaccbaccaaaaabccbcacbbcbcababcaaacaabbaabbabbabaacacccbbccabbbacbbabccacacabbcbbabcbcacabcccbaacaababcbbbbcabbacbcaabcbbbaacaacbcbbbabbacbacbcacacacccbabbabacbcccabacccccccabcbcbcccabaabbcbbccccacaabcaccacbacabbaabbbbcbcaacabccacacbcaccbbaccccbcacbccacbaacbcbcbbacaabcccacacbbbbabccccbccabaacbcbbcbcbccbbbcbbbcccaaacccaacacacbababbacbacaaccacccbcbbbcacabcbaacbbacbbccccacbaacaaccbaaaccabcbbacbcbaabcaaacabccaabacbbcabacaccccbbabbccbcbbcbabbccbaabbacccacccccbbccacbccbbccbbabbbbbabbbabaabcccaccbaaabcccbcbacbccbcaccabbcbbbccacaabbcbaacabbbacccbbabbbaccaacbacacbcbacbbbbacbcbbacacaaccccbcacbaaaabbbcbaccbbcbbaababbbbbaabbabbbbaabccbaacbcbcabcbaccabbcbccbbbbcbabbacbbbabcbbaccbbcaacaccabccccbacbbbbcccbccabcbbabacacabbbacaaaccacababcabaacaacabaacaaacccbbcbcababacacccbbcacbbaacabccaaccbbbbcabcbbababaabbbabaacaaabbbbbbbbbcbcabbacacaccccaaabbababacaaaabbaccacaaccccbacabccacabbcaccaacbbacbbcbbcaaaaaccabccacbcbcbaaabccbbccacbbaaacacccabcbaacabbccbcaacabcbbcacbababbbacccccbcacbccbcccccccaaaabaacbbcaaabcaaccbccbbbacbbcacaccbbcbcccccbababbcabbabcbabcccaabccbacbaabcacbbaabbcaaaacbabbbbcbbcacacbbcaaccaccbacaacbccaacbcccaaccbacacbccbbcabbabcbbbbaabcbaaaabbbabccacbcbbcaaabaccbcccaaacabccccabbbccbccbbabacaccbccaabbabaaabbaaabaaacaabbbcccacbcabacbbccacacbccababacbcbabaaccabbaaacbbbbccaacbcbbcbcccabaccbccacabbcbbacbbbbaccabbbbcccbbbacaabbcbacabccbcccaabacaccccabbcabbaaabbabcbcaaabcbbccccbaababcacaabbabbccccaaaaabcbcaacbcbcccacacbcbcccabbacabbbcaaabacabcbbaababaabcccaacbacccaabacabaacbabcabbbbbaacaccbaababcccbcbccacbbccbacacaaccabbacbbcaccbbbacabbaccbbbcbacaccbabaabcacbabcbaabbcaccbaccbbbaaccaacacbabaacbcbbbbabbbcbbbbbacbccccbaababaaaababcbacacbcbabcccaabbccbacccbccaacbcabbcbabacaaccbccabccaaabaacacccbccccaaaaabcbbaacbaacaaccccabbccbabbbacbaabcababcbcbbbcbacbaaaabccccccbcbcbacccacbccbaaabaccccccaabaccabbaaaaaccaabbacbaaabcbaacabbbcccbbbccbbbacbcccaccaaaabccaaccccccbbabcbbaacbcccbbbcaaacbabbcabcccbcacacabbabcacbcccaabcabbbacabbaacaabcbacaaaccbaaabcccabacaabbcacccbbabaacabaaccacaaabcabcbcaccbccbaccaaaacbabbbabcbaaabaccbbcbbbcbbcacbcbabbaaaaacbabaabbbcacbacaabccbccaababcabcabbabaaabbcbcbccacbbabcaccaaabcccaacbaabbcccbabbbabaaaaacacaababcbaaabacacbacaccbbcbbabbaaaabcbbcccbcbbabccbcacabcaabaacccbabccacbcbbbcaabacbababcbbabcbaaacaaaabacacbcbacbacabbccaaacbaaccccabcacaaaaacbcbacbabaaacbcbaccacbccbcbcccaacaacaabaaaaabccbbabbabbacbacaacabcacabcbbcbbcbababacaaaabaabccabaababbbbcbccbbaaacbbcacbabccacababbbcbccbccbbcaaabbabbacbbccbcaabbacccbcbacaabbaacccccabcaabbbcbbaabcbbabcbbbbaacbbcabbcbbacaabccacbacccbbbaccbbbbccbccbcbaabaccccbbaabcabcbcbbabbccbabacbcaabcaaabaabcbcacbbbabbcbccabacccbccaccaaaacbcaaabcbabcabbcbbbcbabbaaabcabbccbcacaaccbbbbaccbbacbbaabbbcababcbcabaacbaaaccbaabbbaacacacccaccabaaccbacccaabaccacabcbcbcaccccaaccbbbcbccbaabaccaabaaaabbcacbbbaccbbcacbbcbccaacbaaccaaccaacacaccacaaaaaaaaaabbccabccabccaabcbacaacbcccabaaacbbcbbacbbbcbbabaabbabaccbabbacbcaaabbcbccbcbcabbbcccbbbbbabbcaccaaaacbcbaabbacaaabcaababacabbccbacccbbabbbcbabbbabcbcccbbacbbcbccacccbcccabbcbaaaaacbbcbcaccaabbbbabbbaccbbacccbaaacbacbbabbccabcabbcbabbbabcabaacaaabbcccbabacbbbbbcaabbbbaaccaacaacccbbccabbcaabbabcaccbbbcbbbaaacacacaacbbbcbbbbcccbcbccabcaaabbabcbccbaaccabcaaaaaaccaaacbccbcbcbaccabaaaaccccbacccababccccbccbcacabaacabcbbcbbabcccccabcbacaccaacbabcbbbcaaacbaacacbcbaacbacabacaababbaaabbcbacbbcbacacbacbcbbacaccaaacbacbaaacabacbaacaabaaabbbcabcaaababcccccbbacacaccbbabbbcacbaabbcaccabcbaccccabbcbaaababcbcbcbacbbabbcaaabcbaaabaabababcbccacbacaabbbaabbcaaaabcabacaccbccaacbcacbbaccbacbcaacccbaccabccbbbaabcbcbbbbaababcbaaccbbbaabbbbababbcbacccabcbaabcccbcabbaccabbbbbbbacaacccbbbccbcabaabccbcbbcabaabcbcccabbacaaaaacbcbbcbaaaccbaacccacaabcbbbbabbbbbacbcbaacabcbbbacaabbbcbcbbbaacbaabbcccccaabcbcaabccaccaabaaaaabccaacaaacbcccacacacaacacccacacbbcccbbbabcbacbbcbaccabbcabbabcbcabacacbaaccbacaacbcacacaccaaabbcbacbbaacccabcbbcbbccacbbacbbccbcbabcbcaaacbbbccabcbbacbcbbacbbaababbaabbbaccaaabbabcbccabaccaacaaccaacbbccbabacbcaabcaccbbabbcbcbbaacbcaccababbbbaaabbcabccbaaaaabbccaaacbcaccccabbccbbbbbccaacbcaabcbcbaabaabcabbcbcabccacaaacbbbbabbcbcacaabbbbaabbbcbaacbbcbbcacacccabbacbbcacaccbacbcccbabbcbaabaabbbcccabaccccbbababaabbabacaabbaabbcbcaacbcbccaabcbabcaabbbcabaccbccacacabbbabacbacbabbabbbaacbbaabbcbbbaaabcaaccbbcacbbabcaacccbccccbbbccacbbcccbcbbbacbccbcbcbcbcaccccaabbcabcacaaccaacacaccbbcccacccbcacaccbcbcbbbbacbabcbcaabcacbbaacccbcaaababaccababbbbbaacacabcbacabcbcccacbbaacbcabbcacbabbcabaccbcbcbbacccbcababccaccccabccbcbccaabcabbabccccbcbbaaaaccaacbabacacacbaacbcccacaaaacccaccaaaccccbbacbcbcbccbbbbbcbcbbccbcbbcacccbacbcacbacccacabbbbabaabcccbbcabcccaccabbaababacccaaabbacabbaccabbcbbcaacabccbccaabbabbccbaaacbaabbcbacbbabbbbacacbcccacbcabababbabccabacbaaaccbbabbacaaacabbcccbabccaaaccbaaaacaccacaabaccabccccacacaccbccbbccbbababccbbcbcbabaabcccccbaacaccbaccccacaaabaabacccccccccbbcacbaccaabcacbccabaaaacababccbcbbacaacbbbbcababcaacbacaaaaacbbcabccaaaabbbcccbbabbbcbabbbcaaabbbcbbabcccaaabcbabbaabccbcabcacbcaacccaabcbcbbbabaaacacbccbcbbcbcbbaabccbbcacbbacabbcbbbaacaaabcbaaaaaccacbacbacabbaabaccbbabbbaaaacaaaaccccbaaabbacbcaacaccaccbcbaacabbaaababbacbcabaacccbcbacbacaacbaabcbccbbacbcabbcbbbbbaaccbccbbcbaacababcacaaacccacaababcacbbccbaaabcaabcaccbaababaabbaaacbcccbccbaaabaacbbaacbccbccccccbaaabaabaaaaacacccbbacabacbaacbcbcbbacccabccaabbbccbbcabbabaabcbcbcbacbabaccbbbbccaccacbbabacaabcabcbcacbaabcbccbbcacbcaaabbaabaacabccbcccbaccacbbbbbabbbbabaabbbbacbacababcbabbaccbacabcccaccbacabccabacaababcbacaabacaaabacbbababbbcbcbbbaaabcbcbbbcbccbbbaaaaacbcbcabcbbaabccbccaacbbcbababbbbbbacccabaabcccabbccbcacacccbbacabcaaacccbcbbbbbaccaaabcacabbbaaaabaaaabaaaacbccbaabbcaabacaacbbcbbcbccbccbaccabcbcaababbabbcabccabaacabcbbabababbcabbbcccbcccbbcaccaacbacccbabccbaacbacaccbcaacbbaaccbbabacabbbbbcabbbbcacbcccbacbabacbbcbbbacacaaacbacacabccabacaabbbbcbcababbccacbabbbabaaaaacbaacaaacbbaabbaaabacacaaabcabcaaabaaabaabbcbbbacabbccaccaabbbbaacbbcaaabbbaaccabcabcaccacccbcacabccbcbbcbbbcccbcbbbbcbaccbaaacaacccccbcaaacaccbbcbbcacccaacbbccababcabbabbcbccaabbbbabaccccccababaccbababbcbcccabbbababcabbbbacacbcbbbbcabbcaacccbbaabbbcabbabbcaccacbaabaaccabccbbbcacaabaabacbaaaccccbcbcabcabaaacbcbbaacabcaabbcbcacbacacbaacacabbccbccacabbababbcbabcbacbaccbcaababaaacbbbbabbcccabbbbcbabcccaabcabbbabccaabcaacbacbcaacbbbaabbcccaaccabacbbbcbacbcaaacbccbacacccbbaacabbccbbacbbcbcaabaabababbccbbbaccababbbbbabcbaabbacababccbbbbcaabbbccbbcbbcaabbbbaccabbcbbbabbbacccbcabcacbcbaaaccacacccbaaacbacbbbbcacaccacccabbccabccaccbaacccbaccbbcbcababcbcabbbaacacccbccaacbacacaaacabbabbabbbccaabaccbbbabaababbcaccabccaacbccbacbaabbbbcacccbaccbbcbccbacaabaaaabcabbbccbcabaaabcaccbaaccbabcaacaccabcabcccacccbcbccbbabcaaaccccbbcbbaabccbbbcbcabacbacbaacbcacbcbaaaacbcacccabaccbaababbbabccbbacacccaaccbacbcaaaacabbcbbccbbaacbccaabbacbcaabaaabccbacacccbcbcbaacbccabbcbaacaacabaabbaacbcaabbcccccccbcbccbbcccaccaaccaabccbcbcbbbabcaacacbcbccabbaabbbcabbabcaaaabaaccccccabccacbcccaabccaaccaccaaccbcccbaacbcababbcabaacababaccbbaaababcccbcccbcbbaabbcbabccaabcabaaacabcaccbabcbacccbcccccabccaacabbaababcbccabbcacccbaabbaacacccccbcacaacabbcabacbcaabcbbcabbbcacaccaabaabbbcbbaaababcacaabababcababcaababccacaabbbccbaccbaabccaaaccabacbacbccacacaaaabbbbbcabbabccccbbbcccbccacbbccbbbacbbbcabbcccccacabcbabbcccccbabbbaabbbcbacaaaabcccbcbcbcabbaaaabaababbabbabaacacbbcccccaccbcbacbbbcbbabbabccacccbbaccccaaacaccaaaaaaaaabaabbaaccbcccccbbbabcbaabcbaababcabcacbabaabcacacccccbbcccbaaaabccaaaacacbbbbabcabccbbacbbcabccabcbbbabbbbbcbcaaabcbacabcccababcbaabbcccbbbbcabcabacbbbaacbcbabcccccbabbbabbacbaaacbcbacaccaababbabaacbcaaaabaabaccacbbcccabbbaccacacbacbbbcaabaabbbcbcaaaaccbbbcabacababbaabbabcbcabbcbbccabbccbaabcbabcccbcbacbbbaccbbcabacacbbbbcaacccaaaabbaabbbaccaababbbcbbababaaccaacccbbcacbcaccbbacbcaaabbacabbbaccabacbbaaaabcaaaacaaccaaabcabcccbaaabbbabbaaaccccccaccbcbbccccbcabacccaaaabbcabbaaabacccbbabbaccaccbbababbcbcacbacabccbcbcaacabcbabccbbbbbacbacbcabbcaacccccccbabbbccbabacacbaccbacbaabbaaaabaacccbcaacbcbcaccaabcccaccabbcaabbaabbbabbacbcacabbacabcabaabbcacccbbabaaaaacababbccbcbccccabaabbbcaccccbccacbbbcaccccbacacbaccaaaaaaaccabbabbcbcacabababcbcbbaababbaabbaccbabbacaaacacbcbbccccaacbcbbcbcacccbaabbcacccbacbcaacbccbababbcbaabcaaaccabcbcccacaacbabbcaaabcbabaabbbcabcbababccaccabbccccbabbbbaaabcacbbbabbcacabbbacccacaacaacacabbbbacbbbbbabaaacbccbbcacbcbcacccaaabacccbbcbcbaacaacccbccbbbabcaaccccabcccbcbccbcababbabbccaaaabaccccabbaccbaabcbccaaabcaccbcacabababacacbcccaaaacccaccccbabbaabcabbbcbbababcccbabcbcbbaabbbaaaabbccaccbbcccbcbbaabaacacbccaaabbabaaacacbbabbccabcabcbaabcaccabcbbbccaabacbbbbcabccbaacabbcbabbbabacabacaacacabcccacaaaabcccccbabcaacacbaaabababcabcabcbbabaaabaacaaaabacacacabbcbabcabbabacaaabacabcbaababaaacaaaacaaacbccbbbacacbaabcbacbacabbccbccabaaacbacabcbcbaccabcbaabaacabbacbcaacacabcabaaabbccbbccbbbbcbaaccbbcaaccabbcbbaacbbbcbabcaccbaaaabbbcacacbaccbcacbaaaabaccacabcabbabcccbbbbbbbaaccbcbacabcbabbcbbcaabcabaaabcaaaaccccbcbbbbaccbcacacbacbbbcbccacbaccacbabaabbabcccbcbbaabaabbabaaababbacbbaacbcaabbccbabcabbacbbcbbabbbcaacbbcaaacbacccaacaacaabbbbabbacaaacccabacacbbbbcbcacccbbaabccaaaccaabccabbcbcbacacbacbaaccbcbaabccccbbabacbbbbacabbbcaabbbabcbbacaaababaabbbbaabcacaccccbcacccacabbcacaacabaabacccabaaabcaacaacbbcacccbbaabacaacbabaababbaccbacbcacabccabbcacaacbcccaccbcbaababbcacacbacbcbaaccbbbcbbabbaacbaaabccacbacabaabcaacbacabccbcacbcaabbbabaabbbacacababcbabbcbabbbabbbbacaaababbabbcacbbcbbaaacaaaccccacabcbccaccacbbcabbcaabbccaaaccbcbcaacbcabbbbbbbbacabbbccabcbabaaaaacbbabaaccaccbbbaaaabacbacbaccaaccbccaccbbcaccaacabacabccbbcaacbaacaccccbabccbcbacacccccaabccacabbbcbabacbacbcabaaaaaccababcaaacbaccaabbcaaacaabbcbcacbaabcacbaccbcaabaabcacccabbccbabacabbcbccbbcbabbcbabbabccbabbacbbcbccacbcbacbabcabacbccccccbbaaabcabbbaabbbcbbbbacbcaabaaaacaccbacbbbabbabbacbbaabcaaacabaaaabaabaccaaacbbbcaabcbccbbaaabcacabcbccbabccbcabcbaacbcabbcaabcccbabbabcabcaabbccaaabcaccabacbacacbbaaababbbbaacabacacbababacbaabbabacbbbcababcacbbcccaaabcbcaabaabccbbaabaacbacabbcaccbaacaccbbababbbbaabcacacabacaabaaacabbbacbcbacaaacbabcbcaaccccabcbcaccbbacabcbababababbcaaccabbacabaaaacbbacbacaacccabcbcacbbabcacacbcaabbcccbcaabbbbbccbaaaacabcbbcbbccbcbabaccbabbcbbbacaccabcaaccbbacbbbbaabcaaabbcacbcbaacaccbbaccbbcbbbcabbacbbbbbabbaaaaaccbcabbaccccbccaaaaabbcacccbcbbbbbbaabbabbbcbbacbccbccbacbcccaacbcbcbacbaaacccccacabbaaacaaacccbbbbcbccbcabcaabcabbacacaaacbbabacacbcaccbbacbbbbaabaacbaacccbcbcabccacbcaacccbacacbccbcbccacccbbabbcbbbaabbbabcaccacacaacbbbbbbbbbccbccacaccbbcaacacbccbacaccabbabaaacbababbabaacaacbccccccbcaaaabccbbabacaccabaaccaccbcbaabbcccaccbabccbaabccbaaaaabcacbccccccbcabbbbaaaaabcccaabbbbcabbbabbbbccbabcaababaabcbaabcacccbbccaaabbcbbcabcbbcbbcaaacbbbcbcccbbbcabcbcbcbbcaabcbabcbbccbabcccaaacccaacbcabbbcacccbcabaccacbabacabcacabacbbaabcaabccbbacabacacbcbbbccaacabcbcbcaabcccbaaccbcaacabcccbabaaaabbabbbbccacaaacccacbccbccbcbbbbcaabacbccbabbcbaacccbccbbaaaababaaccbbcbbbbababacaaabcbcccbabccbbacacaccacaabcaaabacabbbcbbbaacbaaccbbbacbabaacbbcabacbbaabcaabccccaccaacccbbccccacbbabcabbaccabbbacccccababccbbbcaacbbcbaaaabbaabcccbabaabcacbcbaacacccccaaccccbbbbcbcbbababcabaabbabacccbabcaaccbccbcbbcbcbabcaabbabcbabcabbaabaabaabaacbbcacacabccbcbaaacccbbbbcaccccacaaccbaccbaaaacbcacbcccbccbacbabacbbbbccacacacbbcaccacbbcaccaaccabbabaccacbcbabcbcabbabcbabcabbbcbccacbcacbaccbaaccbabcbbaccbcbcccbbabcccbabbbcbcabbbbbbbacccbaabcaccabbbcbccaabbbaaacbbbcbabbbcbcabcbbccababaabacaaacbcabbaaaccbabccabaacabbccabbbbaccbcacacaccbabaabbaaacbcaaacbbbbabbbccacaaaaabaccbbcbcabbbabacbbbaaababccaababaaccabbccccaaacccbabbbbccabcbaccabbcbbcaacabacbbbacccbaacbaacabbccabbcabcbccbbcbaacccbcbbbbbbaccbaccacccbcbabcbcabbccbabbbbcabcbabaccacbccbacccbabcbcabbbbbbcbbcacbcbbccbbabaababacbcbcccbacacaacccababbababbbbaaabbccccccbaacbcaacccacccbbbccaaccccabacbaccbcccaababaaacaababbcbbcbcabcbbacccacabbbcccbcbcacbccabbbaabcabbbbbaabbcaaaacabaacbacbbcacaaccbabaccbaaaacaacbcccccccbbacabcabbcbacaabaaacccacbcabaccbbcaaccbaacbacbcabbaababacbccacccaababbaababcccacbababcbacabcaaaabacacccaabbabaacaaaabaccbcaccacaaaccbbbbbcbcabaaabccacabcacabaccbccbccbbacbcbbaacabccbccabaaaabcbbaaacbacccbbbacccabcbccbbacaabbccacccccccbbcaaaabbbbbbaaababbccbaabbaaccbaaaaaacaacbcbbbacbaaccccbaaacabcbabacacccabcbbaababaacccbbacacacccacbbbaccabbbaabbcbcaacbcacbcbbbbbbbcbcbbacbcbaaabbacbbcbcabaccaabbcababbccacabcccabaacacabbaaabaacaacbbcbccababaaabbbabbaaabcbbaacababbabacabcbbacabccbbcaccbbabcbcbcccbbacbbbaaaccccbbbcccbacbababbbacbaaacacaccabbcaaaacabacbbcbaabcccbaccacabcabcbbccbaacbaaaccccbaaaabbbaabcaababaccccabcccccabbcbcbbbcbbaabbbbccacbbaacacccbaabbcacababcabccaaacbbaaacbcbbbbcabbcbaabcaccbccbbcaacabbcabcbbcabcbbccccabababccccbbbccabcacacaababbabbacaabbbcbcbbbbbcbbbabccaaccaaccbcaabbaacabcaccaabaacbcabacbcacccbccabcabcabcbbabbbbabbaccabbccabbcbacaaaccacccaabbccaacaccbbacabbccccacacacacacaaabbcbbccbccaaacabcbacacbaccaacbcccbcbacababbabcacaabccbacbbaccabaacbaccaaaccbbabbbcbbbcacbbbcaacbaabbbaccccbbaccacacaacbbbcbcaccbccaaaccacbcaccbbccabccabababcbaaabbbabcbcbabaccbcacbbbbcbabbabcbbccbbabbacbcabccababbcabcbacbbaccacbacacbbbcbababbacaabcbbbbbbaaaaabcacabcabbcbcbbbababbaccabbbacbbbabcbbcaabbcabcaacacccacababacaacbacbcaaabcaacbcbbcacbabcaaacacbccccbcccbcacaccbbaacacbaacaacbbaaccbaccbccbcccccbcbacbcbcbbaaccbaaabbcacbbabcbabcbbccacabcbcbbbbbcacbccacbabbcbbabcbababbccaaaabbbbaacbcbccaabcbcaaccaccbbaacabcccbbcaccbabaaaabcaaacbccbabbcbaabbabbcbcabcacbaacabbabbcccaacccbccbccbabcbbcaaaccbbbacbbbbbcbcbabbbaababcabcbcacaabccbabbbaccaabacbacbcabbcbbbcbaaacaacaabccabbbbcbcbabccccacbababcaababaaababcbbbacbacbaaabcbcbcacccbcbbccbcacbbaaccccbcbbcbbaaacbccaaabbabccacabbaccbbccabbbccaabccbabcbacacaabcacabbccaabaccbbcccbaacabacabcbbabaccaccabcaabbbccacbccbaccacacbcccacaacbacabbbbaacbbbbbacbbbcaabbbbcaacaccaabcbabbbcbcbabacccaabaabcababbbaacbbabbbcbccaabcabaacaacccbcbbcaaabcaacacabcbabbcbababacbabccabbaabbaacaaaaacbbaaabcbbbcbbcaabacacccaabbaababbacbbaabbbcccbbcabaacbccababbbacbbbcbcacaabcaaccaaabbbccacbbbacbaaacccbaaaacccaaaaaccbaccbabcababccbcbbcacbbacbbccacaabcacacbababacacbbcbbbaabaabbcabbacaaabbbaaacbbcbaccabbbacaacbbabacbbbacbcbcababcccbbbbbbcccbabccaaaaacabcccaabbcaaaaabcabaaabbbbcccbaaaacabaabbcababbbabccacbbabaabccaaabaccbbbbbaccbcabccababccbbbacaaacacbaaccacccaaaabcacbbabcbaabacbbbaacccaaabaaacccbbcbaababbccbbbcbabcacbcbaacccacabbbbccacccabbcbaabbaaaccaccbbbccbabbcabacabcaccbabcbcacababcbbbaccaabbccbbbcbcccbcbcccacccbbabaacbcabbabacacacccabbbbabcaabbbaaaccccabcccabababcabcbcbabacbbabacbcbcabcabcaababcbaaacbabcbaacbaacabbbbacbbcbaacbbcbcccbccbbbcbcccacabbaccacabbbcccbccbbacbbcaaabccbbccbbaccabccbbaabcabbcbbbbcbccababbabbcacbbbbbbccacaabacaabcccbbabaccbbabcbbabcbbaacbacbabbaacccabbccabbcaacbbbabcaacaaaaccaabaabababaabcccabcaaacbcbcbaacabcccbcbaccabbbaaabcbbbcacbbbaacbcbccababbabccbcaabbaacaccbabbcccbbacbcabcabbbcbbaacababccaacaabbbbbcaccabbcbbcbbaacccabcaccaabaaaaccbbabacbabaccbabbaacbbbbbbcbccccbcbbaabbabccbbaabacaaacacbccbbacaabbcccccbccbbacbaaacabcbabbcbccbccacabbabcbcaaaaaaccbabcbcbcbcbbacbcccbabaacabcacabbccacabaabbcabbaaabacbcccabbbbabbaaabaccccbbaabccbcbbcaabacccbbacccaabbbcbcbabbbbcbabbabccbbccbacbccaacccbcbbbbbcccbbabbcbaaacabbcccbcbbbbaabbaccaaabbccbccabbbbcbccbabcbccacaaabaccccabcbaaaacbccacaccaccbccbcaaababcaaabacbcbccaabcaacacbcaaaacabbccaacbcaaacbbbabacccccbaabcaaaababbaccabcacaccbbbbcabbcacccabaaacabbabaaccccccacabacaababbbacbbccbbccbaaaaabbbbcabcbbabccccbcaaabcaaacaccaacbbbabbababccbacaccccbcccbcbabaccacbbbbbcaacaccacbabcccababaccaccbcbbacbacabcaabbabbbbccaacbabbaacbcaccbaabaaabccabbabaababacaccbbacbacaabaaacacbababcaaabcaabcabcaabbcbcccbcababacccbcbbaacbabcbacbacbaacbbabababbaccaabbbbacabbababcabcbcbbcacbabaaccbbbbcccacababcbcbbcbcaccbccbbaaccacbbacbbcbcbcbaaabbacccbbccbcabcaaacccbcababcaabaabbbbcabcacaacacbbcaccaaaabcbaccabbccbabcbabbcbcaaccccbacabbbaaccbbcbcbabcacabaabbaacbbbccaacabbabaccaabbcbcaaacbcbcbacaaacbccabacbacabacabbacabbcababaacbbcaaaacaaaccaaccbbccaaacabbcacaacbccbacbcbababcbcacbacacaacaababcacbcacccbcabbbccaccaccbaabbabccaababccccabbbbcbbaacccaaacccbaaaaabccbbbababbaacccbbbbbacccacbbaaababaccaacabaccbabcbcccaccbbbacbcabbbcaaabbcbbbcabbaccacbbcccaabacbbacaccabaabcaaaccaabaababaabaabaacccacabbbaacaccacabbccccabcacabbcabbcbacbababacacbaccabbcacccababbccbaabababccccaabaacacbaaccbcbbbbbbbacaaacacacbaccbaaacbcacbcccabccccaaaccbbcccabacabbaababaacbcaaaccccbbbccccacabbbccacccbabbacbacbaacacbbbaaabbaccbacbcabbcbbccbcacacbccbbbacbbbabcccccaccbaacabcaccbabcbcaccbaccbaacabbbaccabcbabbabaacaacbbcaabbbabccbbbcccbabbaaaccaababbbcccbabaaccbbccaaabcacbcaaabaaabccbabccabcbabcabcbccaabaabaabcccbbbacacbccbcbacbacccaabcbaacaabbccabbcaccbccaccccbacacabababcccbaaacabbabbaacbbaacbbbcbbaaaacbcaacacccbabbccbbbabbcabccaacccbacabaabaacabaacccbaccabbbaabcababccabcbbbaabacbcbaaabbabcaaaabccccaccbcbacbccccccccbcbcacbacbcacbacacccbacbbccbccabaaabbccbcbaacacbbabababcccabaacabcbcbbaabcccababcaabcbcbabababaaabccbabaacabaccaabbcaaaaabaacacacccacbcabaaabccbcbacaccbbbccbaaacacbabaccbcacccbaccbbbaabbcbaababcbcaacbcbbccacbbbacbccaacbcababbaaaaaacccbcaacabccbbaabbbacccbabaccccbaaaccbcabaabccacbcabbbabbcbabbaabbabbacccbaabccacbbaababbbacaabcacacacaaabcabcbabbbbaabcabccabaaacbaaabaccbcbababbaaccccabcabcaaccbcaabbbaabbbaccaaaccaaccbbabaacabbaabbccabcbaaabcabaacaaacabaaabbbacaacabaacaaabbbccabcbbabccbbcabaabcbabbacababcaabcbabccbacacabaacacccbbcbccbbcbabcbcaaabcbbccbbbaabcbbbccbabbaccccbaacaacacbbabcbcbcaabcabccabcbcbcbbaabcaccabaacabbcbbbbbccbabaacccbccbabbabcbcbacbcacacabccccbbabccaacabcaccbaccabbababbaacbbbcabcbcbbcccaacabcaaaacacaccabaabcbbcbcbcccaacbacacaacaabcbaabaaaababccaccaabacbbbcbcaaaccbaccccabbaacbaccaacbcccbacaababaaaaaccbababcbcacbcbcabbccbcaaacaaccbbcbcacaccbbbbaacababbbbacacaccacccacacabcabcabbcaacbacccbcbbacbabaaaababccbabbbbcaaaabbabacbabcccbbabcabbcacaabcabbbcabbacccbbcbaaabccbabcbbcbbacbacbccbcabcabacabbaabcccbbcbbcbbbbaaabbbacbbcaabbacbaaccbbaaaaacabcccbabaccabcccbccacabbaacaccccaaacabcbaaaccacaacbabacaaaacbcccacabbabbbcbcbaabacbbcbaabbaaaaccabcaaaccabacacabbbccbabbcbccccbbbbcbbcaaaacabbbccacabbcababbbcaccbbabccabccbcabbbbabaabcacbcbbcabaacccbbcacabcbccaaccabaacacabccaaaabababcbbcabbccbacccbbcaacbcbbbacababbcbccaabccccacaaccbaabbbbaaabbbbbcabbabcbaaabcbbabbcbbabcaacacbcbcaacbabaaccbaccacbcbcbcbaacbbcbccbbaabccababbaacacbbbbabcbccaacbabbcbcbabaacabbcbbbaaccccbbccaaacacccbbbaabacccccaccbbbcbbcabbbcabaaaababccaabccbabacbccbccacabacaaabccbccbacbbbacbaccbcbaccbbcabaaccacbaababacbcbabcbcbcabcccbccbbabccbcabcabbbbcaaabcbbbbaabacaaacaccaaabcabcaacbcacbbbbbcaabccbbbabbcabaaaaaabcbaccaaaabaabbcbcbbcacaccbaacbbbbcacbbbbcaababbaccbbcbcbbacbcbabcbbabbabaabccabbcccbabbaccbbabbabbbcbcccabcaababbcbcbbbccaacbabacccaabaccbababcbbccccacaabbbaccabbbbcccbbbcbbabcabbcabbcbcbacacaacabaacbbabbcabbcccbaacbabbbacbcabcbbabbaabcbcccbacbbcbcaaaaaccaabbbbbcbacaacbbcaaacacbbcacbccababaccccacaaccccbccbbbcabbbabaabccaaaabccabbbbacbbbbcacbacaabbbcaacaacacbacabbcabaacacbcaaacabacabbaccbbabbaacbbabaabcccbabcacaabcabbbccbababaaacbccabbbabbbbababcbbccbcbabbcaacbccacaccbcaccccaabbaccaccbcaaacbcacbcaacccaabccbbbbccaaabcbaccabbcaccccbbacccabcacbbcbbbbabbcbcccbabcacbaccacaabcccbcbbbcacbbbccaabccaabbbbaaaabaccbccbcbacbaabbcbbcaccccabcbacabcccbabbaaaabbcbacbbabaaacaaccccacbcabbcbcbcbbacbcbbababcabcbaacbcaccbcccbccacabaaacbcabcaaccbacaaabbabccbacbacbabcbcccaacbbacbbabcabbbccabbacabbcacccbcbacbcaacacbbbabbbcababbbbccabbabbbcccbbbbaabbbabcacaccaccbabcaabacccaabbbaabcabacbacbaacbbccbcaaaacbcabaccccbaacbbccabaabbabcccccbcabbbbcabacbbaaaacccbbccbbbcababbaacabaaabbcacbbcaababcccbaaaacbaaaaabaabbbcbccaaabbaaaacbccbbabcbbabbbabccbaccaaabbcababaacbcabccbbbbcbbaaabaabbcbcabccbbcbbaacaccabcacacabbcccccababcabcbaccbcababbccaaacbccccabacbcaccacbabaabbccbacbcaabcaccacabbaccbcabaaaabbbcaacaccccbcbcccbacaccabababbacbababaabccbbbabaacbcacaacbacacccbbabcacccbccbbbbacccbbbabaaaaacacaaaacbaccccbbbaccbbaacaccbcaccccbabbccbbabaababcccccaacbababaccabcacbbcabacbbcacacabaaaccccbabbcbabaaccbbcbabbabcababccbcabaabcbacaacabcaababcaacccbccbaabcbbcbbbbaaacabbaccbbbabcbccbbbacbccaaaaaababcaacacbaaaabbcbaccccabbcbababacaabcaabacaaaabaabbbcbacaabaabbacccbaaacabccbcbaccbbaaaaabababaabaaccbaaabccbacccacabacbaacacacbabbaaccabaacbcbccaabcabbbbcccaacabbccaccccbcbbbcbbbbccbcbbcabaabbbaabccbcbbaabcaccaaacbacbcbbcabababaaccaabccccaababbcccaccaccabbccaabaaabbcaaaacbabbbccaaaabcbbcccabababaccaacbaabcaccccaabababaabcaacabbcccccbbbaabbcaaabcaababccccbcbabcccaacccacabccccbccccbccbacabacbcaacbbababbcabaccbbccabaccbccabababccbbccaaacaaabccccbbaabccbbbaccccbcccbbbacbabaaaaabaccabbacacccbabbcbbcbcacbaabacccaaabbcabacbaaacacbbaababaabaabcabbbbacaaacbcbcbcbacbcacababbabccbaaaccbbbccaabcbcaacabaacbccaaaccacbabcbbabcbacbcbabcacabbbabccccbcbabccccbabccccabbabbbabbcccbbbbccbbbbbcbcaaaccccaabbaabbabacbcabacccabaaacbbbabbaacbcbbbcaacbccccabcbabaaccabbabbcbabcabcacabbbcbaaabbbcacbbaabcabccacaabcabaccaabacccaaaabaabcaaaacacabcbcbabccbabaccbcbcbccaabaacbbbccacbabccabbbbccabcbabcbbcbbaccbccccccacbccccbcaaaacbaccbcbbcbbcccbbbbbbbaccbbbccbbacbbcababbcbbcccccccbcbbaaacacccccabbaabbabcbccaacccbcbbacabbbbabababbaacbbcbcababbbaabaaaaacbbcaabcabccbcaccbbaacbccabbbccbbbbbaccbacabaaabcbacbcabbcbabaabbabcbacaaaacaabcaaaabcbbbbaaabbccbcaaaacbbcabaaacababababaccbaaaacccbaacabbbbacbccacababccbcbbacbbcccbbacbbcabbbbcbbacccaabbcbcccbccbaaaccbbaabaacbacbbbabbbcaababcabccbcacbcbcbaacbcbaacabbcbacacaccbaabcbbcbcaacabcbcbbbbcbcaacbaacacaacabcabaaabbbcbacacaacbbcabbccccbbbabaabbacbcccacbaccccabbbbccababaaacbacacbbbbbccababbbbbcbcbbbacccbbccccaaaccbcbccacbbbbcaacccbcbabcaccbaaabcbbacbccbbbaabccbaacaabbcacbaabcccbcbcaccababccaababaaaabbabaaaabcaabbaabcacaccbccabaabbabbbabcacccacbcaaaaaabbabccaaaccbaaaccaacaabbcccbacccaacaabbcabbaabcaaccbbccbacacbcabcacabaabababaccbabbacacccaaaaccacacbcaccaabbacbacaccacababcaacbcabbabbbaaaacbcaabbccbbbbcbaabbabababaccacacbcabcababbacbaccacabbbbbcbbbaacbcacbcabbbbbacbbbabbbbbaccbbaaaacabcaacbcacabcbcacbcbbbcaaccaaaaaaccacaabcabcccbbbabbbababbccacaaabbbcccabaaccacbaaaaacaabccabbbaabbabbbacaccbcabcacababcccabbcccccaacccbcaabbacacccabbaaaaaaaaaabbaccbbcaaaccabbccabbacbbaabccabcabaacbcbbbaacabcacacaccababccbbcacabbbbcccbbccbbbccccbbabcbcccbbaaaabbabaabaaaaaaaccabbabbccaaccbbbabbbacbcccbcbbcbbabcabcbaccbcbabbccacaabbaaabacbbacbbabbccbcaaabcbbacacabbbccaccbbcacacacbcaccaaaabbbbbabbbbaacbcbbaacbaaabacccaabaaaabacacbacbbbbbcabbabacbacbccbabacaacaaacacccbacbabbcabaacbcaaacccccbaabbabbbbbabbbcccbabcbabbbaabbccbccacbbbbbbcbcbacaccaccbaaccbcbaacccbabccacaaabbcabbaaacccacbacabcbcbbabcbbbacbabcbacabaaabbcaabbabaacaaabcccaccacbbbbcbaabcbbcaacbcabababbacbbacccbaacaaaacaccaaaccabbbabbccbababcabbabbccbababbabcabcaccaccabcbbacaabacbaaacaaccbccaaaaaccaabcaababaaaabbabcccaabccbaaccccbaacbbccccacabbacacaccaccabcacbabaacccaacccbbbaabbccacbbbbbccbaacbbcbcbacbcbacbcbbaabbbccabacaabaabcacccaabbacaaccbabaabaacbbcacababaaabccbbbbcbcaaaaaaabbabcccbbbaaacaabaaaaaacbabbcccbacccbbbbbacacbaaabcbccbbcacbacbaccccccbcbcbabaabcabbccccaaabbacaccbbcaaaccabcbccbacababacaccbabbcbcccacbaabbcccccabbbccaabbaccabaaaccaccbacbbaabbccccababcaaccbcbccbbcabacbbcabbaabaababccbbbbaacbacaacccccbabbbcabbaccccbccbbcaacbcccabccbcaacabaacaabcacbaabcaaccbbaabcbcabaabacbacccacabcbcbbbbbcabcacaabbcccbbcbaaabaacaacbcbaacccaabcaacccacacbbaabcacbbacccbbbbbbbbabbcbbcccccabbbcabbbbcccbbcbccccacabaabbabacaccccaabcacbaacbbbbbbaaccabacacaccccbbccccacacbbabcbabbabcaababacacbbacbcaaaccccccbbccacbacbabaccbcbabccabaaaccbcaabbabcbcaabacabbcccbacccbacacaccaccabccccccaaaaabbbaccaabacbcaaaaabbacabcacbaabcabcbbbacbccabcbccaaccaaccccaabcbbaabcbccbccbaaaaccccabaaccabbbccbabcabcbbaabbaabaacacccbacabaacacbbbcbbccaacaabbcaacaaacbbbccacbaaacacbacbcacbcaaaaaccccbbabababaacbabbcabccbccaabbaaaccaccbbaabbaabbacccacacababbbbcbcaaccbcccbcbbbcbbacacbaaacabbbaacabcabbaaabcbbbcacaaabcbbacabbabcbabcaccabaacbbaaaabbabbcbaacbcbcacaabacbbbbaabacbbccababaabacacbbcccbbcacabcacccaacbbbcaabaacbabbabaaccbabbbcacccbcbcbacbbccabaaacbababcacbababbabababaaaabbbbccccbbbacabcbbcbaccbcacccacccacaabbaccbbbbbcbbcaacbbcccabbcbbbabbcabbaabcabacbbcbccbabbcacccabaabcbbaaaabbaacbbbabbabbccbccccbaccbbbccabaaacbbbcbcaabccbbccbbccababccacabcaccaccccbcbcbbbcbaabacacabccbabbcbbbccbaaccbcbbcbaabbcbabbbcaaccaacaccbbcccbccaaabbbcabbbbbccccbabbbcaababbaabacabcaaccccacbbcababbacabbabbbcabcabccbbbaaaabcccabbcbcaaccaabbbaacbcbcabcbccaaaacababbcccaccccbccbaacbcccbaccbbabacbaccbaccbbccacaccbacbccacccabcbbacccccbbcbcbbccabccbababbbbccccacbbccabacccbabbbbaaaaaabccacbccabcaabacaabbbcaccaacbaaabccaacccccacccbaccaaabbbaaabbcabbaaabcbabcbacaaccbbbcabcbbcaaababcbbbcaaaacaccbabcbbacaaacccaacbacbaccbbabccbccaaacbacaaabcacaaabbcbcabbccbabbcccabcccacabacaaaccaccacbbbcabbcccacabcacbccabaaacbbaaaabaacaabaccacbabaccbabaccccbbcacbaaaccbcacbabcaaacccaccacababbbbccbcbccabbbbcbbabaaacbbcacaaababcccaacaccccbacbcabccbccbcaccbcabccbacbaaccbbcbaaccbcbaccbbbabbccbcaccacccbcacbbccaaccaaababacaacccacabcccccabbbaacaccbaaabbcbcaabcbbacccabbccbacbcbabbcbcacaabbcbacaccbcbcabacabcacabbccacbaabbcaaacabaacaccaabcacbaabccbccabbabbbaccbbbaacaacaabacacccbabbbcabaaaccbcbcacbbbacbbccbcbcbcbbacbcbcbacbabccbabaccbcbccccbaccbbcabaacccbcabacccabcbabbcbbabcacbcaabcbbaaccbccbbccacccbcbbabbaaacacbacacaccbabcbacbcbbccaabbbcacbaabcbacbbcbcacaaababaccccbbbbbbbcababbbacccaabaabababbcaacacabbaaaaabcaccccbcabcbaccccaabbbcbacabbccbacbcbcabbaccaaaaabcbbacbbcaaaabbccaccccabbaacacabbccacbaaabcbbccbaacbaabbbbacbaaabbcbbbabbcbbaabbabacbbbacbaabbbbcaaccaaabccaaacacaaacaacacbccbcbcabcbbaabcbccbcccbacbaabbbcbcccabcbaccacbbbcbbabaabababbbbcabbcbccaaabacaabacabbcccccbcccbcbbabcccbcbabbccbcaababacbaacbccbaacbbcabccaacbbbaaacabccccaccacbcccbcacbabcbabbaccacccaaaacbccacabacbcabacabccbcbababaabccacccacbcacbacabcbaabbccaaaacccacacbaabcccaacbaaaacbbacbbccaaccbccbccbcbbbcccccccaaabbbaccbaaccbaabcccaaacbacacbaaabcbaccbbababacacbcabcbaacbbbabaacbabacbbbbcababbcbbbcbcabbabcaccacabccbbabbabccacabbbacabcaaccbccccbcbbacccabbaaabcbacabbbbcccbaacbcaacacabccbbacabacacbaccaccbccbccccaabacccbcaccabcbaccbbbccbaaaabbccabccccbcbbccaacbbbbaacccacaacbabacabababcacbbcaccaacabbccbbaaabccaaccbbcccabccaaaaccccaacccbababbaacbabaaaccbbcbbcccaacbbccabbacbacbcbacaaabacaabcacaccccccbabbbbccccaaabaabccccbaaabbcabccccbaaaccbcaacbcbacccccccbaacbaabbbcbaacabbbbaabccbcbaacbbbbcaccaaacccbacaaaaaccbcbbcbbbccabcbaaaabcacabaccabccaacbbaaaabccaabcabababcaaabbabbacacabaccbcaabbaccccbaabccbbacbbcbcbcaabaaaacaabcbccbacaacbbcbbbcbcbcaaaabbbbaabcacaccabcbabaaccacbcccbcccabaacaccabaccbcccbbaaaabbacbacbcbbababbccabbcabbcacaaaaaaaacaaabcacbabbaccaaacabcabccacbacaababcaaabcabaaabbcbacacbabcbcacabacbabbcabaabaabababbbbcaacbabcbbbcacbccaaaccabcabbaccaabbaacbcabaacbbccbccbbacbbbacacacacabccaaacbcbbaabaabbbacabccaabbccabaababcacaabaabbcbcacbcabacbcbacaaaccacaabbbabacabbbbcaaaccccaaabababbcbcabacaabcbacccbaaaaabcabaccbcbababacabbaabbabacbaaaaabaaacbccaccacbaaacabcabaabababbbbcabccbcbcabbabbcccacccabaacabccccbaabcbbcbbacbcbbcbbaccaaaaccacbbbaaaccbccabcacaabacbcabccccaccacacbcaaccbccbacbbcaacccccaaabbabcccabbcabbcccbcabbbccabcbbbbcccbbccccabcaababbaacacbbaccccabbcacaabbbacaabcbcbabbccbbbcbbccaabccaaaccaaaaaccbcbcbcccbacbbaabcbaacccabbaaaabccbcbbabbbacbbcbbccccbbbcbaccccacccabacccccbabacabbcbaaabccbbccbaabacabcbbaabcaacbbccacabbbcbccaaaaaaccccabaabacaaacabaaacccccaacccbacabccbbaccabbccabcbacabacaaccccbbbccabcabccacbcabcacbcccbcbabbcabbbccacbbcacaabacabbcbabaaccccacbabaabbcccccaaccccbbcbbbccbbaaaaabcaacbbabbbbcccaaabaaababcccbbbccabbcacaacccaccbccaabcaccbcbcbababcbacbbcbcabbaacbcacbbcabbccbabbcacbbacacacaabbabcccbabbacaccbacaacabacccacabbbbaaabbcacaabcbcaacbcbbcbbcbbccbaccbaacbccbabcbababcbcaccbccacbbbcaaabcaccbccbabcababbbbbbcacbabacaacabababbcabbcababcbccabcacacaccababbcccaabcbbcbcbbccbcacacacbbacaacbaaabbccbbcbaccacacbacbaabbcbbcbbaaabcabbcbcbcbacbabaaaabcabbbccbbabacacbabcacbaaabaabbacabcbacaabbcabbcabcaaaabbacbcabbbabbcccbbbcaaaacaccccbccbabbbabbabacbccbbcabbacbccabcbbbabcbacaacccaccbcaabbccccbbccacccbbcbcbabaabccacaabbbbcacbcabccababbcccbbbcbacbbacbaccaabbbcbabcbcbabacaacaccbcababbaabbbbbcaacbbaabaaccabcacabcacababbbaaaccacacbbcbabccababbacabccaabaaaccbacaabccabbcacabccaaabcbcacabacaccccbbabaaccabaccccabccabbbbbbbcbbcbbcbabbbabaccbabaaacbaaaccbaabaaacabccabbaacbaacbabbcacabbacbccccbbbccacacccbccabbaccababbcccbbcbaaccbaabbcaccaacccabcacabcaaccbacbaabacbbabbccbbccabccacacacccbabccbacbababbacabaacabcabbbcbcbacbcaabbcaacbbcbcaacccbaacccccaabbbaacabaacababcbbbcababcbcaaaccccababababcacccacaaabbbcacabbbbcaabccbbcbcababaccbcacaabbcaabacbcbcabbcbccaacacbbbccbbcbcabbcaaccaaabaccbcccbbbcacabccbbbabccccacbbacabccbbaccbcaaabbababbaccccacccccbcaabbaccacbbaabbcccabccbbabbaccaaabbcaccbaacaabbbbbababcbcbccabaaaccabbccacaacbcccccbabcaacbcacbccabcbbabbbcbccbcbacaaabaccbbabbabbacaabbcacacabacabaacaccbcbabbcacaaaaacaacaccbcbbccaabcbbcabacaacbcabbaabbcbcababbaabccbbbacacbbbbaccaabaccbaabbbaacabbbcacacbabbacbbccccacaaccbbbbaaccbbaacbbcaacbbbaccabaabbabcbabbacbbcbabbaabccabcaaaaaabbbccbcbccbbbbacabbabbcbabcccabbcabacbacbbbbcbaaccbcbcabcbbbcacacbbcbaacbabcaccaaabcbabacbcabaaccbbbbbcabcccabcbabbccaabcaacabccbccaaaabacacbbacabcbccacababcaccbcaaccbacbcbccccaaacbacacbccccbacbccaccccccabcaaccbbaacbbacbaabccaccccbaaccabbbabbcaaccabcbbabcabaabbbbcbbcccabacccbbacacbbbcbacacaacccbbabacccbacbaacbbbbbbcbabccbcbaabcccbbbcaabbacacbcaaacbacaabbcccacbbbcbaaaccacbaccbbcbbbabaabbcababbcabbaabcacccaacacacccacabacccaaacabcbbbbcccbccaccabccbaacaacbbacbccbacbacbbbcacabcaabbbaabcbaabacccbcbbacaaaabbccbbaccacbcaabacbcccabcabaaaaababcbcbbabbaaaacbbbccabccbbabcaacabbcabacacbaaccaacaabaacacbabacaabcbacbbcaabccabacbbcbbaccccaaabcabbbbbacbacbcacbbaacbbccbbcababaccababacbccabaabccaacaaacaababcaaabcaaaabbbcaacabbbbbcaabcacbbbabaaaabbcbccaacabacbabacabbcbabaccabacbacccbbcaaacbbacbaaacbaacaacabacbcacbbabaabaabbaaabaaabaaaaabbccbaaaacacaacccccccaaaccaabaacbcabbabbbaccbacbaaaccaacabaabccbaaabaacbcacccbbcccbbbacbabcbbbccababaccbaabbbabbcbbbbaaabbcbabcaabccaacbbaaccabbaacbccbbbbbbcbacabccbcccaccbabccbbbcacbbcabbcbcbaabababccbcaacabaaacbacaabcacbccacbbccacacaaabacccbccaccbbaaabbccbcbcabccccaccbacaaabaacbaccbaaabcacaabaabbbbccabccbcacccbcabaaabbbacbaabaaaacaccbacccbbaabaabababbaccacccbbbbcacabaacbbacabcbccaabaabbaaaccbabbaaaccbccacabbbaabcbbcaaaacacaabcbbbacccbbbccccbbaaaaacaacbaacaaabaaaacaacbbbaaccbabbbcaabbaaababbcaaababaaabacbbbbccbbaccbbbabccbbbbccbbcbabcccbaccaaaccaacaacbbcbbaaaccaabaacccbacaacacbcbcccaaccbbbaacabaaabbacaabacbccacbbcbaaaccbbbcbbcabbbcbaaabbcaaaaabcacbbaacbaabbbbaccbababaacabbbbcabaabaabbababacacccbacbcbcabcbcaabcabbbbcbbccacbaaabcbccccbbccaccabcacbcaababbcccbabccbabbbbcbcabbcbacbabaabaabccaabcaababaaabbcababcacbaacccccbbbaabbccacbaaabbcbbbccbbbcbbacbabcbbbccbabacaacbbbbcabcbaaabbbbaaaccbbbabaacabccababbbcbacabbcbccaabcbbaccaacaaaaabcccabcaacaaaccabaaacacaccccaacbbabbbbbbbcacbbabbaaccacacbbaaccacacccccccabbccbcbcabbcbbcbaacacbbcccbccacccaabbaccacbabbabccaaaaacaabcabcabcacaccbcacccabcccccbccaccacbccbcbcbcaabcaccbbacbccabaacbcacbbbabcabbaccacacacaabccbcababcbacaabbcbcbbcaaccbabcccbbcbabccccbbcbbccaabacaaabacabababcbbacbbabbcbbabbaabaccaabbacabacbcacaaccbccbcbbbccbabccbaabcbaabbcbcabbcccabccccbacaabbbaacabbccccbbcbaacccbaccabaccbabbaabccaccbbcbaacaccaabcabcccabcaaacbbcccabacaacacbcbbcbccbaccbaaccacbcaaccbabccbbccacaaacbabaccababacababbccbbbbcbccabaaacbabbabaabbbcccacbbaabbacbbbcbbbcbcacbbcccbcbcabccabaccacacabbbbabcabbabaacccaabbbcabababbabccbbccbbbccabbccbbcbbaacccbcbbaacbacbcbbcbcaccabcbcbacbaaccbcccccacbabbacbbbbbcaacacccbcaaaacabacabbacbaccabaccbccbaccacccaaabcccaaaaabcaabbabbaaabbabcbcaccbaacbbcbcaaaabababbaababbcabbabcbaaaabbacabaccacacbcaccacccaaaabcbcaabcbacbacaaacacabcbbbaaabacabbabccbcaabbccbaabbccabbbccaccaccbccbcaababaaacacbbcabbbbcbcacbbbcaabbabbcaaaabacaabcabcbabccaaaacbbcbccbbcbaacbbbbcbacaacabacacccacaabaacabcacbcbacacababcbbccbbbcbabcaababcbaccabbccaabaaabcbbccbaabacabaaaaaabababbaaabcbabcaabcbbbbbcbabbaccabbcbabcbaaaabbcbbbbbbbbbcaabacacaaccbbacabbaccacabacabcbbbccbbbacabcacacbccacbacababacbabbcacacabacacaaabacbbacbbccccbcaccbabbbbacabccaaacabbbaabbcccbaaacabbaccabccaabaaabbcbbacbbcbaaaababababaaaaaabccabbaaabccbabccababbabcababbbcacabaabacacbabbaaabbcbccccbccbacabbcccbacaaabaabacbaacaabcccabaaacaaabcabbbccababaacccbcaacbbcbccbaaccccabbabcaabaabaabbcaacbcacaaaccaabcbbbcbacaabcabaabcabaccbcccbbacacbcabccacacaabbbbcbaabaaaccbbbcacaabaaababaccbccbbbaabcbcaccbbbbbcaabbcabbacabcccacbbacacabbbcabbabbaabaaacabbacbcaaaacccaacbacabbabaccbbabababaaabcaabbcbccbcaaccacbbbbcabbcbbccabcacaccbcbbaaaccccccbababcabacbbbabaccbbcbbabaacbbabcbaccbcaacbcbacaacaaabcabbbabcaccabbcbccacbcabccbbaaacaaacbcbaaacacabbccaaccbbbaaaaaabaaaaccaccbaabccbcbcacbaacbcabbbbbccbbbcababacaacbcbccbcaccababcbaaccaacbacabcbaccbaababbcacacbbcaabcbaccbcacabbbcabcacabcccbccccaccbacbcbcabbbbcbaacbbccababccbbcacbbcbcacaaabcbbaaabbbaaabcabcbbcbaababaccabccbbbabbbccbbbabacbcbacccbbabacbcaccacccacbaacbcbacaaccacbcababbabbcacbcacabaabacccbbaaaacacacabbbacbaccbabaabbcbacacbbacacbcabacccbcaaacbacbccbcabbbacccbaababaaabacaaaacabaaacabaacbabbccabaaabacacaaaccaabaabaacbaaaaacbaccacbabbaabcccaabbcbcbacacccbacbabacaabbcaaccabbbcacaccaaacaabbcabacacaccbccccbbbbcbabcaccaaababbccbccccbbabcabacbbabaaaacaabbbbacccaacacbbcbcccbacbcccbbabaaaaacaaccbaabaccaaaaaaccababcbccaaacbcbaacccbbabbbbbcabacbaabbbbccaaabbbaacbbbcbacabccbcaabcbcabaabacabbcbbacacbbaaacaaabbccabcacaababcaaaaacbbbaabbacacaccbcabcbabccbcabcbcaccbbbacccbcaabbccbcabcbbcbbcaabbbcccbcbaaaabaaacbaabcccbaabbbcbabbcabcaccabbacacbbbaacbccaccaabbaccbbacbccbbbbbbaaaccababbbbabacbcabcbababbcabbbccaccccabacaaacbaccbbabbaaaababbababbccacbabaacbaabbabacbbaabcbabbbabaacccbaaaacccaacbaaaaacaaccbcaccccccbacaaaabcccabbbaccbbaccacaacaacbbbbbaaacaccaaabbababababccacccbbcabbbbcaacaaaacbbaccbabaacbcababbcbccaaccbcacbbabbbccacabcccbabacabbabbcbbbbccbabababbaaabbbcaaccbbbaaabaaaccaabbbbcbbccbaacbacbaacccbabcccbaacabcccbabbaccbbaabaacabccabaabbccbaabbabcacacbabbbacbcbacbaaaacacaaaccbccbabcacaaaacccababbcccbaabbcbabaaaacbcbcbbcacacaaaaaacbacacabbaccbbbcbabaccccccabaaaaaccbcccbababcaacbaccbacccabcabaaaaccaccbcccaabcbacaabaaabccbaccbabcbbccbcacbabcbaaacacbbaaccacacaaaccabababacaaacbaaccabaaaccabbbccaaccacbacbbbbbbabbacaacabaaaccbabacabccabaccacbccbcacbbccbabbcaccabababbbabacabcaabbaaabaccbcacabccccabbaaabbbcacccbccabacacbaabbabcbbcacbcaacabaacaaabaaccaabaacccbacbabcaabbcbacaabaacbbccccabcbccbaabccabcabacacaaaacbabbcbaaccacaaaccacccbbacbacaccacccccabbbbcccbcacbccbabcbacaabccccbabbcbbbbaabaacbaabaccbcaaccbbbbbbbcbbaccacbabbacbabbaccccabaabacabaccbbabbbbbacabccaccbcbcabacbccaaabbbbaabccbbacaaababcbacbacbcaababccbcbbaacababcbbabcaabbccabccbccaabcaabcaaabbbacababaabcaababcbbacacaaacacaabbbaaabaabcbcbaacbbabcacacbaaabaccbccccccbbabaabbcbabcababbbcaaccaacbccbbcccbaabbcccabacaccbacbcabbcbccaabcacbcbacaabcaccaaccbabccbcccbbacabcbccbccabcbcbcbabaababcaaaabbaaaaccacaabbabbbbcaccccbbbacbabaaccbaccaaabcaacbacbacbaccccaabcbacbccabcabcabccbbcaabcbbcabcbbbcccbbaabcabcbaaacaccaaabbbaaacaccbbcbcaabcccaababcaaacacbaaaaccaaaaccbbacacbacaacaabccbaababcbaaaacabcccbcacaabaabccaaaccabcbccbacbaabbbcabacbbabccabacbabcaabbaabcbacabbaccbbaccaabcbcacaacbcbcbcbbcaccabccabbbaaaccaacaccccbcbcccccaacccccbbaaaaacbaabbcabbcbcbccacacbaacbbaacbabcbbcacaaacacbbacbacccbcbbcbbbcbcbacaccbaaacacbabaaacbbbcabacccaabcabcbcaaabccbbbaacabbbbbccabcccbbbcbcabacabcbcbcabcaaabaccbccbbacccacacbbaabcabacbccbaababbabbccbbacaccbbbcbbcbaabccacbcbcbccabcbcabbbcacbabcababbcabbbacabccabbbbabbbbbbcaabaaaacbbbccbabbcaaccbaabbcaaccbccaaaaacabaaabaabbbbbcbcaabccbacbccbaaabcccaaabbbbacccbbbbbacabcbccbabaacbbbaccbabbacbacbbbbbbaabcbaacabcaaaccaacbccccacabaacaabbbcbbaaabbbbaccabaaccaacabbabbabbaaaabccabcbabbbcbbbbaabbaccacbabcbcccacccbbcaccbcaacaabbbbacacbbacaccacbaaaacaaaccbabaaacbaaccaacccabcbabbcaaacbabbbbbbbccbbbcbbaccaacbcaaaabcacccacbbcbbcbcaacccaaaacaacccaccbcbccbbcaacbabcbaacacabbcacacaacbcaabbccbbccbccbcbcbbbbabaabcaaabccacbbbacabcccabaababbbcbcabaccaabbaaabbbbcbaacbbbcaacaaccbacbcbccaabcacbccaabcbaabaacbbbacbccccccbcbacccaaaaabacccacbaacabbaccabccbbaabbcbabaccccbabcbcabbacabcbbabcccccaacbaaabcababccbacaabccccbaacbcccacbccbbababaccbbcbacbacaaabababbcacacabbbcccacccccbcbcccaaaababacbbccbbababbaaaacbabaacbabbcabacacaabccbababbcaacabbbbabacabcacccabcbbbacbbabbacbccabaabcbbcbcacbccbacbbababbbcbcbcbcbcaacbbaababccabacbcbcaabcaaaaccbcbacbcbcaccbbaccbcccbbbbcabcaacbacbacccccccabcbcbcacbbbcbccacbbcbcbbbcbaaccaacbaacbbaaccababcaaaaabbbbacacbbbaacacbbcbabcbbbbababbcacacbabcabcbbacaaaccaacbcacaaacabaccbcbbbaababbbcbcacaccbbbbcbcbaaaacacbcbabcaaababbbccbbacbbccacbcabacbbcaaabbacaabcbcabbabbcbabbcbbbbababaacbbbccaacbaacaaaacbbcccabcaaacbaabcbcacccaabacbcabaacabcacbbabacababaaccbccaabbcabbbaabcccabcccabababaacaaacccbccbabcccaaccbacacbbaaabbbaacababcaaccbbbcaacaacbbacbcabababbbacbcabbaccbbbaccbbbaacbbabbacccaabcaabcabcccbbccbabbbaaabbccbccccbcaccabababaaccbcbacbbcabacccbcbbaabacacaaabbcccabcacbcbaacabaacccaaabacacabacaacabbcccbccabbabaabcacacbbbbcbccacabbaaccccbabcacbccccabababcacbcaacabbbccabccbcacbbbbbaabcbccbcaabcbabbccbbbaabacbabbcccababcbcabbbaabaccbccaacccbaaacabacbccbcaaaabacaaaccacccabccbcbccaaabcbaabccbaccacbaabbcabbbbcbbbaabbccbbaaacccbbbabcbacbabaabbaacbbcbbbbaacbbabcbababcaaababaacaababbabaacaccaabbabcbabbccabcababbaccaacbbcabccccbbccaabccbcbcababccacbbabacbbbbbbcbccaabbbbbcaabcababbabbabbaacabaacbabccaacbaababcbabbbbbcbcaacccabbbccaacbbcbcbcaacbcababbbcbbcccbbcbaaabacbcbbbbcacbcbccaaacbccbccccbaabbcbbbbaaccaccbabcacaabbaabbbbcacacbababbbbacbbbccbcbcacabacbcbaacaaaacbacccccacbbacccbacbcaacacaacbcbaacbbabacabbacbcbbbbbacacccbccbbbcccacaacbcaabaacbabccccaaaaaaaabbacccacbbbcabcbaaaabacababaaccaacacbccaccccccabbababababcbacccaaabbbbacccabcaacbbaacbbbcaccbcabbcccacbccbbcbbbcacbcbaabacabaaabbbcbbcababababababcccbbbcabaabbccbabccaccbcabccabbaaccccbcbabbaaccacbbbaccbcacaaacbabcabbbabccaababacbcaccaababacabcbbcccbacaccabaaaaaabbcbabcbbbbbbaccacbababaabaacbcbcbaaabaacbcabccbccacaccccccbcabbabbbbbbbcacbcbbbabcacbccacacccaabcaabaacbacccaaabaacbccabbbbbaabbaaaabbbaabaabbbbbaaaaacccbbaabcaaacabccacacaacbcbaabcbcbcccaccacaaabcbbabccabcbaccacaabcbcbbacbcbbbbcabcaaabbabcbbcaaaaaaabcbbcbaacaccbbacbcacacbcbaaccbcaabbaccbcaccabbccccbcbccbaabccaaaabacacbacaabbbaccabcacabcabbcbabaacabacabbaccccbbaccacacbbcbaaaacccbabccbabbbbbabaabcbacccabbbccbabaabcccbbacbccacaabacbabbbccaccccbcbacaaccaabbaacccacababcbcaacabaacbcccabcbbcabbaabbcbcaacabaaabbaacacbbbbaabababcabcbbbcbcabcbaabbaabbccbbaccbbccabbaacaacbaabbcbbbbccacabbabcabccbabaaaacbbcbbccbabbacbcbacabbbaabccaacccccaaccbabcabcbcbbccacbacaaabccccbcbbbabaabacacbabccaacbacbaabcccbaacbbbcaabcacabccaabbabcccabbccabbaabaacabcabaaaaccbbbbcbcbbcccbacbbaabbabcccbabcaaccbcabbabbbccbcabccbaacbaabbccacaccbcbbbabbbbcaabbbabcacbaaccacbabaccccbbbccbbcbaaabbbcbbcbcbbaacccccbcabbabcbbbcbbcbccaacabcbcbacbbbaacbacbabccabcbaccbbbcccbacbcbacbcbbbccbcaabcabcabbcbbbbaabcacbcacaaccbbccccbbbccaabbccabcacaaabbacbcbcbaaabcabaccacbcbbcacabcccbbcbaaccacccbcaabbcacbbcccbbbcacbbbbbacacaccabaabaccbbcbaacacbccbccababcacbacbbabacaccaacababcccccabacabcabacabaabbabaaabbccacbbacabcaacbcbcaabbaaaacbaabcacccbcaaabaaaaacbacabaaaabbcaaabacbcabbaabacbabaaababccbaaaaabbaacbcbbbbaacbcbababcbaacccabacbbbccbccaaaaccccaacaacbbcbccbbbaccacccabbaababcccbbcaccaacbcbabccabaaaccbbccacbbbbccacacbbaabbbbacacaacccbabbcaaccbbacbaabcaaabbaacabaaabbaccbaabcacbbcacaaaaabacabbaacabbbbbaaaccccccbaacaacbbcacbcacabccbabbaabacbbbccbccbbbccbbbaaacaacacbaaaaaaccaabbcbcbabcbbccbcbcacacbcbacbaacabbcbabbbccacbcbccbccbaaacbbacccbcbcccabaacacbacaccabbcbbccbbaacabbacaabaabaaaccbcccbaaabcababcabcaccaabcacaccbcccccaccbbcbaabcccabaccabbcabbbcbccccacacbbcaaaaaaccbacbabcccccabbbacbbcbbbbbcabaacbabaaabababccacaccbaaabbbccaaacabcccabcbcbcbbaabcaaaabcabcabccabacbcabbcaaccaacbbcaaaaaacbacabbcbabcbacbcaabbabababacabbcababaccabcbcbcabaacbbaccccccbbbbbbaaaacbbccaaabacabbbabcbabbbcbccabaaabccabbcbbcccaccbbbbabcabbccacbbbcbbcaccacaacbaabbbacaabbacaabbaabbbbaaaaabccaaaababcbbccbaabbccbbccbcccbacccbaacaacbccbbabbbbcababaaccacbaabcbbabaaaccbbbcccbabacbccbcbbacbbbababbbbcaccaacaccaaababbccabbbbaabbacccbcaababaaababcabccacbaacacbcabaccaccbcccbaabacccbacccbccbaacbabacbccccccaabbbacacccaccacacccccccaabbacaaacabbbbbbaababacababbaabcaacbaacabaabacacaaccbbabcbccbcbaaccbabaabacbacccabcbabbaacacaababccabbabcbbbaccbbaccabcabbbbabbccbbcbccabbcabaabcbbbbbcbbabacaaabcaacbabcccbcbacbbbccbaaabcaabbcaacaacaaccabbacacbaacbaaaaacbbcbbaaacccbaabbcbbababbabaabcaababababbbcaccbabbcccbacaccbabcabccbbacacbaaccbcacacbacaaabccabcaacbbbbbbccccbcaacccbbbcbaaacacbbaabaabbccbabbaaabaabbbcabbaaccccaaacaabbbcbacbcabbabaccbbcaaaabbabcacbbbbbaacbbcbacbbcaaabaabbabacabcabaaccbbccaabbaaccaabbbbbbcabacbababaabbaaaaaacbbbbbbbbaabacaccccaaabcbbaababcabaaccaaaaaaaacbbbcbccabbaacccbccbbacbbbcaccaabccabbbbabaabbaacccccbbcccbcacbaaaccabbcbcabacaaabccacbcacabccababababcacccababbabbcbccccabbbabcbccccaabaaabacbaaaacbabaabaaabacbcaabcbbbbcbbacaabccbacbabaacbcaccabbcababcbcacbbbacaccbaaacabbbaaaccbacbbaabcbcccbbbbbbcacbbaabbbcbbbccacaabcbaababbbbbbccbacacabbbaaccbbabbbcabbacacbaaccaabaacbaabcaaacaaacbbbccacccaacabacbbcaaabcaabccbccbbccabcbbacbcbccbccbcbbacbcbbacabccbcccabbccabaccccbcbaacbcbcbcccbbcccbaabcbccabccccaabbccbccabcbaabcacbbbbcccccabccbbcbccaaacabcbbbabbaabbabaacacbbbbbcccaccbbbcaabbbbcacaaabccaaabcbbbaabbbbaaabbbcccaaacacccaccaaccbcacccbaaacaaabcbcaabbcccccaacbababcaaccacccaacbacbbbabacccaabbabcabbbacbbabbbacabcbcbaabbcacbbbcbaaaabbacaaabccccaccaccbbcacacabbcccccbbccbcacbbacbabbbbabbbbccaabbccbbbcbabcbaaaabaaacccabccbccaacccaaabaabaabaaababacababaabcbaabccaabcbcbcabcbababaacaaccacaccaabbcaabcbbabcbbaccccbbabbbbabaaaaacabcbabbcbcaabaababbabbbacbcabcccccbaababaccbbccacacbcacabbcbbbacccbacbbaacabbbcccbbbccabbbabccaababccccccaacbacccacbbcacabbabccbccaacbcacbaaaabccbabcabbccbbbbcbaccbbcbcbcaabcbacaabcbbccabbaaccaccbcbbbacabacbcbccccbbbbcbabbcaaabacaaaaacaabacaacacabbbaaaaabccbbcbccbaacacbacabccaaacacacbcabcccabbbaabacaaacaacbccbaaaabbccbbcbcbcccabbacabacbccbababbacbacaacbbccbbbabccbccbcbccacbcbaabbabaabbbccaabcaabcccbccbabcabcabbacacabbaaacbbcbbcacaaacaabcaabacaacbcbcbbcbabbcbabbcacabababbabbacabaaacabaaccbcacccaabaaaaaccbccbaaccacabcbabccbaabcbcbcabbacbbbacaaababcaabbbabbcabacbccccbbbcabababcacbabcbcbaacbbcacababababaaaccbaaaaacbcaccbcbcccabbbaccaabbaabbbaaaacbbacbbbcbaaaacaacacaabaccaccbaabbacbccbcbabbccaaacacccbccaaaccbccbaccabbbbbcacbaaacabbaacbcbaacbcababaacacbbccaaaacccbcabcacbaaaccbcacbccbaabaccaabacaaacccbacabcbbaccacaccccabbabccbcaaacacacccbcabaaabaabcbcbbcbababcbcbbcbcbcaccbcabbaabcccccaaababcbbcacababccccbaccbccbcaacbbbcacbcccbaabbcacbbbcbabbbbaccbaacbaabcccacccacccbacabccbbccbbabbbccabcbaabcbabcaacbcaaccabcaabcaccaccaaccacbbacbaabbaccaabbbbcacabbcccbabccccbaacabbcbcaababbcaaccabcabcbabbcbccccaccabcabcababccabbcaabcaaaaccbabccabbbccaaabaacbcabbaaababbabbbaaccbbcbbcbcaabbacabbbbcaaaabcaacabbaccaabbbccccbbccabccacacabbbabcbbabaaaccbbcabaaacabababcabbbbaccabcbbcbbaccabbbbacabcbbcbbabcbcbaabcabccccaacbcabaccbababbcbaacaabbbacabbbabbcccbcaacbcbbabcaacaacbabcabaacaababbabbbbccbaabcbcaabbbaccbcaccabcacaaacbbabbbccbbcbaabacacaabcaacbaaacccbcaccbccbababcbcccbabcacccbccbbabaccbcacbcbcacbcbacccbaaacbcbabcaacbbcacbbbbbabccccbbaacbacaabbcacccabcaabcaabcaaabbbcabbbbabcccabcabbcaaaaacbbbcccbbabcabbcccbcbabbccacbabaccaccaccbaaaaccccbbabbcccaaaaabbaccbcbcabcacbabbcabccaccbaacbcbbbacbcacabccabaaacbaaaaabcbbabaabbaacccacaaabccbbcccabbaacbccbbbaccaacbacbbcbcbccacbacbcccababbbbccccccbcbbcbbaacacbccbcbababaacacacbcacacbabcbccbbabbcabccababcacaacbbbcacbcaabacbcacccccbcbababbbbbbabaacccbcbcabbbcaacabcccbbcbbcbcccbabcccbbaacbbbbcbcccbbaabcbaaaccbbccbacccbaaaacacaccccbccbbbbcccbbaacabcacabacacbcabcacbcacaccbacccccbacbbccbcbbccabbcaacbccbabccbaaccbacacaaacaabbcbaabbabbababbbbbaccbbbabacbccaaccbbccaacbcccacaccccaacabbcacaacaaccbaaabcbcbcbbccaaccccacbcbbacbacacaccccaaaabbccbaabacabacabccbcabbabcbcacabbabbcababbbaaabaaabccbbbcaaabbbbabccacacacccabcbababbccbbcbbcabaaabcbaaccccabbbcbccbcabacbbbcacabbabcaaabcacaccabbbacabababbcaaaccabbccbcbbccabccbaaaaabbcaacbacbbbbabaaaccabbbabaabaacaabccacccaababaaabbbbbaabababbaccacbabbbacabbaaaaabccbcacbbabaababcccabcaaabcccbccabbccccbcaccbbacbbabbcbcbcbabbabcabcabbabaccbabccbaababaacccbabbcaabaaababbcacbacaacacbcabaabaaacabccbabbaaacccbcbbacaabbcbccbbbcacbacaabbcbaccaaccbbccbbcbbbcccbcaabbbcaccbabbcbbacaaaaaacbbccbaacbcaacbcbbbbbaababbacaaababcaaaabacbbccbaaaabbabcabccacccaacbcbcaababcabcccbbbccabcccbbbabaccbcccababbabcaabcbcccaacbbbbabbcaacbcbaccabaabccabcacbbabacababbbbbbacbaaaaccacbabbaccccacbbaacbbcbacbcbbaccbcbabaaabacbabaabbaababcbcbabbabbbabbbbcaabcaaabcbaccbcaaabaabaacabccacacaacacabcaccbabccbcbbaaabaacbbbbcbaacaccacabccccccaccccacaababbbbbacbbbbabbbacaaacbaabcaabbcbccaaacbbbabbccbbbcabbbbbcaaccccbaacbbcaaacbbacaccbcaaabcccbcccacbaacaabaacabcbbcccbaabababcbabccaacbcbbccbcaabbcbcbacbbacaabcbcbaaabaccaccbbcaacacacbccaabaabacaabcababacbaabcababbacbbbbcbabaabcbcccbabcbccccccabaaaacacaaaaccaaaacbbbccaccabacacbcbacabbcccabccccacabaabbaacbacaaaccbacacccccaccaccbababcccbaacccbbabcabcbccccbbbacbbaabbaabcaccbcbcacbabcabaccabbbcbabcbaccabbccccaabcbbcabaababcabcbbcaccabccbcbbacaacacbcbaabaabcacaacccacaccbccabacbccbccbaacacabaaccccabbcccbbcccaccacbaccaaccbcbaaaaaaccaccaabbcaaacaaabbcccaaabcacccbcabcacccccccaacbaccaccbcaaabbabcacccaccccabacacaabacbbbabccbccacacbaccbbcbcabbcacaabbcccbbcaabccccccbbbbbaaaccbacbbabccaaccaaacacbaaccbcbaaccbbbbcabccaaaabacbababbccbaaccacccaacccacbacbcccaccbbcccacbcbcbbbaabbcaaabaacaccbbaaaabaacaacacccbcbacbacccbabaccabbcbccacccbabccbbcbbbbababbabbcacabbabcbbaacbacbcccacaaacbbcbabbcbbbaccbcbbcccaacacaaccccabcabcacbbaaccaabacbbbabbbcacaaaaccbcabbaabcbbcabcabcccccaaabccacaccbcababbacabbaaccbbabacccbccaabacccccbcbbacbcccabbccaccbaaaacccbbcaacbabaccaacaabbbcacabbaaccaababbaababababbbbaaaaababaacbacabbaaccbacbcabcaaaabaabababbcaaaccaabacbbbbacaccbbabcbccbabcbaccbcaaabbacbaabcacabacabccbbabbacaccacabaabccabcbcbcbcabaccaaacbcbbcbaccbaccabbacabcccbaaaabcbcbccbccbaababbbccabccbbabccaacaabaccaaacccccabbaabbcccbabbcbbccaacabbabcbccbbcababcaabbbcbbacbabaccbbbbacaaccabaacacbbcaabbccccaacacabccabaaabacacabaccbcbbbbcacabbbcabbababcbcaccaacbbbcbaaccbcbccbaaacabacaccabbbbcbacabccabbacacbabcaaccaacbcaacaaabbcaaacaacbcbbbcccccbbcbbaabcabacbaaacbcbbbcaaaaaabcbaaaacbacbabbcbcbbbbcababccacaccbcabcacacbbcbbccccacbaccbcacbacbacbabcbccaacccbaccbcbacacccbbbbacccaaaacacbccbcaaccacababacabacbccabaaccccacabbcbabbaaaaaacabaccbabccacaacbaacccbaaaabbabbbccbbcccabcbacbcbbbaacbbbbccbabbacacbccbcbababbccaacbcaaccbbbcababcacbbbabcaacaacbacaaccbabababcababcababbccaccbbbaaabccbacccbbbabcaaccaabccbcacccacbbcbacabcacaccabaabbcbcccbcbaabacbbacabcbbcccacbcabcaabcacbbabbabccababbacccbabacbababcbcbaabaabacacbbababbbcbabbacabbbbabbaaccacbbccacbccbcbabaababbcccabbbbabcbbacaccbbacbcabacbbbcabbaccbcbcbbbcbaababaaacbcbbcabcccbcaacabbbbacbcbbaacacbabaaaacbcccaaacccabcbcabbaabbacacbccbbcbaaacbcbbbabcaaaacccbbbbbacbbbbbbbcbcbbcacabbcabcbbbccabcbcbbabcbbaaabaacaaacbbcaaabbacccabcbbccacbcacbccbcacbaaacccbbbbcbbcbaaabbcbbbaabbcbbbbbcacaaabaabccccacaaacbcbbbacaccabbaccbbcbccbccccbaabaaccbcbabbcaaaaccabccabccbacbbcbbbbbcbbaacbcabbccccbcbacbbababcbbcaababacacbcbcbaacbabbbabbbccbcbbcaccabcaabaccbabcabbbacabbaacbacbbccaababaacabbabcbcbabbaabaccbcccbaabcbabbbaabcababbcaabbcbbbcbcacbbccabcabaacbcccbbbbbbcbabcabbbcabbbbbbbbaaaacccbcbaaccccaaababcaaabbaaacccbcacacbbabcbbbbbbcacabababbaaccababaccabbccacaacbaaaccaabccbaccaaacaabaccacacbccccbbbcabbabbbabcbcabaacacaccabbabacabaccbbcaccacacccccaaacabcbbccaacbccccccbcbccabbbbaacccccbaccbacccbbabcbccbcbbabbacacbabacbcbabaaaabbcbbcbbbbcacaaabcaaaccbbaccaaabcbbabcaabacbbccaabaaaaaaccbacacaabaccabbcaccbbccaaaaaccabccbcbbbbcbccbabaacbbbcbbcaacaaaacabbbcabbcacacabaabbbaacbccacbcccccabbcbccaabccacbbcccccaaaababbaabcbbcccbccaccbcccbbbacbccbcbcbaacccbcaacabbbbacbacabaabcbacbabccaccbbbccccbbccaccccbcbacaccccacbbcccaccccbacccbcbabaaabbcbccaacccccccccbbbabaccababcbababaccabcbbbcabccabbcaababcabaaacaaababcabccbcacbbccbacbabcacaaaccbaaabcabbcbabacabbbcabcbccacbababaabcacccaccaacbaaaabbcccbcccccaccbaaacacabcabbccaacbcabacabacaaaabbccabaabaaabaaaccccaccbbcbcbabcbcbaacabaababbcbcbaccccbbaacababbacccaacbabcccbbbcccbaabbbccbcacaabbaaacacccbacbaabcaaabccacaabcaaabbaaacaacabaacabacaaaaccccaaabcbaacbabcbbacaabcacacbcacaabbcbbccbacbbccccbcbaaaaaabcabbaacbcbbcbcaaccccaaaaaaacbbcbccaabcbabaccbaaccaaababccbbbacaabbcbabbaabaaacacccbccabaabbcaaaabcbbcabcbaaabcbccaabaacacaaacabbcabccacbbacbccabcbbbaccccbcbacbcabbcccacabcacbcbccbcbababbbababaabcbbacabcbaacabacbcaaccbccccbcbccaaaccaaaccacaccccbbcbccabacccbbcabbcbcabcacbcbbbabacbbcacacabbcaaccbccaaacbbccaccabcabbcbaabababcaaabbacabcabaacbcbcbcccaacbbbcbabaaccabacbabcaccaccbbcccaabbabccbbbbccbbbaacbbcbbcbaccaccaaacacababcaabcbabaacbbaaccbbabccabcbababcaaacbaccabacaccbcccbacbacbcccbaccababaccbcacabbbcaaaacbcccbabccccbbbcaacbbbbbbcabcbcababbacacaacbcabbaabcbaaaacbcbcbccbaaaabbbcbcacccbbbbcbcccaccacbcbabbabaaccacaabbacccacacccbccacbacbbacbbbcbbcbcabcabbbaaabaccccaabbbbbbbbabcabccbabbccbbcbacbbabbabbbccabbaaabaaaabbbcabaacbbcbabcbabacbcaabbbaaabaacbabcbccbcaababcacccbaabcaacaaaaacbbacaabbbcbabbbaacabbbabaccbbbacaccaabcaaacccbbaabbbacaaabbacbaacbacbcaabacbbbcaccaabcbaaacabaaabcabacbbaabbacacccbcccbcbababcbabbbbcaacbbabacbbaaaccbccbbcabbccbacacaacbbacaabacbaabccabcbababbcccbcaaacbabaabbaaacaacabaaaabbcaccccbbbababcaacacbbbcccbbaabcbcbbcbbabccccbbbccbbcaaaabbcbabccccabccacbabbcbbbcbbbbcbacbccbbaaacacbccacbcaacbcbabaaccaabbcaabbcaccbaaaccbbbbccacbaaaababacbbbbbcccbcccbccaaaccacacaabbabbcbcbbbabaabacbbaabcbbcbcaccbbaccbacaacaaabcabbaacbcaccbcbcaaaaabccbbbcacacbcaacbcbcbabcbcacbaabbcccbbaababbbccabcbbbbccaaccbacabcbbcbabbababcccbbbcccbcccbbcccaabbbcabccbaaabcbbcabcbbcabbccccababccbbbbbabaaacbcccaccabcbcccbcababcabaabbabbcbbaccaacababaccacaaabcabcbaabbcaacbbbccbbcbabbbccaaacaaabbbcacabcaaabbcabcbbcbbbbbabbcaaaccacbcbcaacabcbbbcbcacabbaaabbcacbccaacbaababbbccabbbccacacaacaabcaacbaaabccacacabbbbbbcaacbcbcababaaccabccccbaaacbcaaacbbbbccabcbbabbbccbcbcbabcccabbccccabccbcccccaaccbaaccaaabaabcaacababccabbbcaabaacbccbbbcaccbabacabaccbaaabbbccccbcccaaabacaccaaaabbacbccbaabbaacabbcacbbbcabbccccaaabacbacbcaabbaacbcbcababbaacccbabbaccaabccbcccabacaccacccaabbbcbabcaabbbcbcacbcbcabbbcacbacaacaaaaabbcaaaaaaaacaaabcbccacbcccbababaacabbbcabbbcaaaaaaaccabacaaaaabaccaaccacbbaabaaababccbaaabcccbbaabbaaaacacbacacabbcccabcbbcbabbaabaccccbabaccacbacbcbcaaaabbbbbabacacabcaacbcbabbaacbbbcbcaabbabbaacbbacbbacccbabbbccacaacbaabcabacbaabacaccacabaacacbabbabaccaacabcacbcaaccbcccacbbbbbbabbcaabaccbccacacacabcacbcbbbbbabbacacababcbcaccbaccaabcbcccccaabbabbbbcbbaabaaaabaccbbabbbbacabccabcaacccaaaabcbbbaabaabacaccaaabbbbbbbccbbbcbacabcccaccbbcbabcccbbccbbcababaabcbbbcbbaaabccaabacccaacabbaabbcbbabbcacabcababaabcababbacbabbcbacbbbbacbcbbabbbaacbcababcbcbaaaababcbcbbabcbaaccbcaaaccacbacbcabbbabbbbbbbcccaaabccacccabcabaaaacacccbbbcbaabcababccbcababbababacacbaacabcccacccbbcbabcababaacabbacbbbcababaacacbaccabbcabacbacccabbacccaabbabcbcbccabcbccccbabacccabcabacabbbbcbacbccbaccabbabbccaabbccabaabccacbccbccbbccbaabccaaccaabaabbaacacbcaacbcbaaacacbccacabcbbbabbaaccbabaccacccbbacbababcbbabaccccbaabccbbbaabcbcabbccbbcacccbbacbacbaccaccccbccabbabacccacabcabbbaacbccbcbabcacbbaabcabbccbacccaccaaabcccccaacbcaccaacbaacaaccbacaaccaccbbababbbccabaabacbcbbbaccabcbaccbbacbbcacbbcbcaaabacabaccbaaacbbacacbcbaaccababcacacbbbcacaccaacaacbbacbacaabbbccacaccbcbccbacbabbcaabccababcbbcbcbbcbbccaacbbbabbccabccccbbcabcaaccbacacbaccacabccbccaaccaaaaccaccaccabbbcbbcccabbbbacccaaacbcaaacacbcccbbbccbaacababcbcbbabacaaccaabacaaccbacccabcacacccbbccbcccbaccccbcaccaacbcccabbabbccbcbaabcbccabccabbacaababacbccacccbbbabacacbacaabaaabcbbcaacbaacbcccbacbaccbbbacabcaabcbaababbbaaacaabccaabcabcaaacbbbccbaccbbacaabcccaabbbbbbaaaacbcbbcacbbcabaaabaaaabbbcbbccbaaacacabccabcaabcabaacbababaabbbccccbbccbbbcacbbcbacaabbbacbaabcbaabaaccbccabbcbcabbbccbacacacaaabbbabcaccbaaccabccaaaaaccbcaccabbcacccaabacacbacbbbbabcaabcabcbacabcbcabbacbccaabcabccbcccacababaaccccccbabacbcacaccacababaaacbabccaaaccaccbcccabaaacacabaabaabcababbcbcbcbbaacbcacbacacbcbaaaccacabbcabbaaaccbcabaabacaabaacabbaaaabbaccacbbbacaaaacbaaabccabbbcccaaccaaaabcccbaacaaaccaaacacbbabcbcacaabaaaccbabbaaaaaabbcbbacbcaacbcbbbbabbcbcbbcaccbcbbaacbcaccaaababbabaacbcabbbbaccbcaaaaccabbaaaabbbacaaccaccbbabaabbabcaabbbaaacbcaabaacccabbbabccaccbccccacbacacaaacabccacbcbbaacbbabcbaacbbcaabcbaacbcbbaccbbbbbcbbbabbccabcaaaacbcccbcaabcaaabcababacabbbaabacabaacbbcaabababacabbacbabcccabbbbbacbcaabbcacabbcaccaabccaabcbaabcaabcccbabaaaccccaabaccbccbbabcbbcbbbaccacaacacbbcabcbaaaacbabbccbabbcacbaacabbcbababcabccbabacbabbcbcabbaaacccaabcabacccbcbbcbbcacbcbcacaabbcbbbbcbaacbbbabcaacaaacbbcccaccbbbcaacccabaaabacbbaccacccbacbacaaaccaaacbabbcaaacacacccbcaccaaacccbbaaccccabccabccacbaaacabbbccccbacccbbbbabaabaababcbabcaacccbcacacabbbbbaabbacaaabbbacbaacaababaababbbaacabcccababbcbccbcaacccaabbbbcabacacacabcaacaabbbaaccabbccbabbaaabacbcabbcbbbacaabbbcacccccabcacbcbacaacbaaacbabaacbbabccaacabaabbcaabaababbbbbbccaabbbabababcbcbccbbbcaccabaacaccaaaabcbbccbaabcbabaabbabbccacbccbcbbcaacabbbacaccbabbcccaacaacaacbcccccbcbcbbaaacaaaacbbaabccbcaacccbccbbbcccbcaaabacaaabaaabbacacccbbccabbabbababaabacbcaccaacbcaacabcccbacbacbaabbbcabcbccaabaaabcbbbccbbcabcacccbacccccabaaaacbcaaacabaccaccacccaabcacbcbaaccaabaaccbaaabaacabaacaaabacbcabaaaabbaacabaaabbabbbcaaacbcbaabbaaccabbbabccbbbababacbbbcabaaccbcaccacbabbaccacccabbccbaabbbaabacabcbbccccccbaaccabcacbabaaababcbbaabbbacaabcabacccccabccbcaaccbcccabcbcacaaabbcbbcbaccbccacaaabaaaacbbbcacbabccccabacacccccbbcbbabaacccabcbaababbababaacbcccbaaaaacbabbbcbcbcacaaccccbacbbaaabbaaabcbcbbababbcbbcccbbabcacacaaabbaaccccbcacbacccbababcbaababbcacbabccbbcabcacacbbaaacacccaaccbbbcacbbcaabcabbcbbbbaccabacbcabbbaaaaaaacaccaccabcbcaabbbaaaccacacabbacabcbcababbbacccababaabaaacccacbccaacbbacbcacbabbccbacaaaaacbabcccaccbcacbcbabbcbbcbcbccccabcbaaaacacbbaccabcbacccacacabbabcbcbaaaaabbcacaccacccbbbaabacaabbbaacaacbcaaaccbbcccabbcbabcbcbabaccccaacaccabcccbcacbcbcbbaacbacbabaaccabbbacccbacaacbcbbabbcabaacbaaaaaccabbababcbcaabcbbbacbcbbacaabacaccacbaaaaacaabacbcacaaccbbaabbabacbbacbccacacacbabcababacbbbcaacaaaabbabcbacaaccbbaacbbccbcaacbccabbccbababaaccbcaacacbbccbbcccabbbabaabccbccbaabcacabccbbaccbaccabbbacbaaaaababbbacbbbcacabbaccaacbcaabcacabccbcacbaaaaacbbaaabbaccacccaacabbaccbcbbcaacbccbbccaccaacbabcbabacaababbcababbabbcababcbaabcccaaabaabcbacbababcbbaaaaaacbcbcabccacababaaccabcaccabbcaabbbaccccccbaabbcaacabbababaabbcacbaaccabccbbcacbacaacbccccbccbabbabbaaccbaaaccabaaabbbbbacbaacacaaccbacaccaccccbcbbccacbaccbbbacbbbcccbbccacccbcbbccbcabcbcabcbaacbbcabacbbbbbbbcbcacabbbccabababbaccacbbbcabbbcbbacbabccbaacbccaacabaaacabbccaababcacbcaccabaaacbcbcaaabcacbcaccabaccccbbccbacbbbabbcccbcacbbcbcccabcbbbaabacbbaacbaaaaabbbaccccacbcccbabcbabcbbbbbcabbbcacbbbacaabaabbabbabcbcbccaabbbccaccabacaccabaccabbbbbcabcaaacabaacacbacccacbcbcbbaaabaccbccbbcbcbbabccabaaccaabbaabbcbcabbcccacacaabaaacccbacbccabcabaaabbcaaaccbcaaccbacbcbccbcabacabaabccbbbcaccbbcbcccbbcaaacacabccbaabcbbcaaccbcbbaabbbacaaaabcbbbcbacaacabcbcababbaabccacbcacabbacbaaabacccaaccaabacbcccaccabbabcbaacbabbacabbabcabbacbcacccaaaaacccccaacababcabacbbbabbccccaababcbccaaaabaaabcbabaccabbabccbcbcaacbcbcbcccbcbbabcabababbbacabaaaacccbccbcbcbaccbcabcbbcccaabaaabbcccabbabacbbcaccbaabbbaaacbaaacaccbcacabaabaaacabcbaabbbaabccacacbabbababbbabacabccbaababacabbbbaabbbccbcacbcaacababcbcacbacacacbbbcaabbacabaaccbabacaabbccbaaacbcbabaacbabcacabaaaccacbcabcaaacccbbcbacbcccbccccbbcccbbacbaaabaababccbbbaabababaabacbbcbcacaccaacccccabbcbacbabaacbabbccccbbabbcacbabccbbbcaccbcbbabbbcacacbcbbbaacbcccccacabacacbccabbcaacbbcbabbcacccccabbcbbabcacbbaacaaabaccbcbacccccbaabacbbaacabbcacacacaabcbaaaaaaabbaaabccccacbaabbabbcccccaabcccaabbbcabbccccbbcaccbacabbbacabaacbbcbcbbbccacbacaaabbbcacaaacbbccbaccbacbacbbcababbccbcaccccacccaababbabbccbcbcacbcbbbbbbbbbccaabcbcaacbcbbbacccacacccacbcbaaabacbbaccbcbbcbbccbacbbacaababcaaaacbccacccbbbabccabbcacbbbaaccbcccaaccabaaaabbbcccbbbcacacccaacbaacccbbbcababccabcaaccbcabaabcccaaccbcacbaacaccacacaabbabbaacbaaabbccccccaaacbaccabcbcbcacbbaacacbccaaaaaccbbbabaaababbbbcbbccaacbbcbaaccbbbaaabcabbbcbaacbaaababbccbaabacababcbbcaabcccababbbbacbcaabbcaaacabababbbaababaaaabcaaaccbbbacccccbbabbcbcbaabcbaacacbcbacbccbbcabbbacabaccbabacacbabcaacbcbaabacbbbbabcaaabbcccacccabbcabacccaaccabaaaacbcacbbbaaccaccabbcaabaccaaccccaabbcccaaaacaaaccacbcbacccacaaacaaccabcbbbccaccaacaaabaacabcbbaccabacaacbcbccacccbbcbacbaaacabcbacabcacbcbbababbcbbcbaccbcccaccabacacabcabcacbcbcacacbbabccbabaabaacbaabaabababbbbaacbcbaccbccaaacbbbccabcabbbccccbccabcaabbcaabbcccbbbbcbcbcacaaaabccacabcbacccbbbaacbccaaaabaaaacaaccccaabccacacababbabaacabcbcabbcbbabcccaaabbbaabcbabccbacbaaccccbcbbcaccccbbabcabaabacbaccbababbacccbabcaaacbaabcbccbacaccabbacaccaaaccacbbabcbbcccaacbccccccbccababacacccabbbccbcabcbabbbabbbbbcabaacbbaaccaccbbaacacaccccabbacbabcbbccaaaaabccabacaacacaabbcbbcbacacbccaaaabccabcccbaabbbaacbbaabaabcabcbabbcaccbaabbabcaaaabcccaaccbcbbcaacabbaabababbcabcacacbcacbcabacbccccaaaaaccabaabbaccbaccbbabbcaabbcbaaccaccbccccccbcbbbacbbaccabacacaacbcbcbcabbbbaabcbbbaaaacbcbbbcbbbcccababbcabcbababcccacaabaccababbaacbccabbabcacccaabccabbbabcaabaaacbbccaacbabbcaccacabaaccaaacacabbaacabbbaaacaacccaaccccaabbcbcbbacccbaabababcacbcbaabccbbccaaabbbbabaacccbbcbbbaacbcacbbaccacccaabcacaaaccbbcbacabbbacbaabcbaaaabbbccbcaabacbcbccabbacacabbbaacabcbbbbaacbcacababacccaabacabccacaababccbabacbacabaaccccbaaccbabacaccacbaabbcaabaccabcaacacccacabcbaccbcaabbacabacabbcbcbbcbabcaaabacbcccaaacaccccbbcaabaccbcacbacccbababacbcccaccccacbcabacabcbbabbcbabccaacbabacaaccccbbacababccacacbcaccccbbabbbcbabbbbbcbcaccbbcabacaabbbbcacbaacbbaaaabaabacbccbacbaabaabacacaccbaacbcacaaacbbcaacbbcbcccbccccbbccccacccabbbbabbbbccabbcbbbacaababbbbcaacaaccabcabacbaacbcbbbcacaacaabbccabaaacccabaabccaabccbcaccbcacaaacbaabacaaaccbbaabccaaaaaaaacabbababacaabbbcbacaacabcacabacbccbacacabaccbcccbbabcbcccaaaabbccbacaacbacbccacaacbcccccaccabcaaabaaabbbbacbcbabbacaaacaccbacbcbacbbacbcabcabbbbabbbabbccccaabcbaacbcababcaaabcaacbbacccaacbbcccaccaabacaccbcbabbbcabacccaabcbbbacccbbccacabbcbabaacccbabccbaacbabcbcabaacabaccbcbcbacaabbccbcbabcccccabcaccabcbcbbbbcaaaaacabaaacbcbcbcabccbcacaaaacacabacbbbacaaabcccaccccacbbbacbabcbacbbcacaacaaccaaaaaaccbaaabcabbacbbabbacbabbcaabccacbacaabcbaccbcbaabccacccbbbaacccaabcbaabbcbaacaaabacbbaabaaaabcbccabaacbaccccbccaaccabaccabbabacbcaaaaaaaccbcbabcbabaccaacbabaaaccbccbbcbaaabcbaacababcbcbcaaacacbcacbacbbaccababcaaacabcccbcbabbaacacbacbabbccabbacacbbaaacabcbcbaabbcbaabbcbcbcabcbacacbabcbccbaabccbbbbccacbccbabaaacaacabbbcacaccabbbabbbacbabaccccbaabbbcbcbccbcbbbccccacbbcbccbabcabbccbcccacbabacccabcababbbacbcbcccacbccbaacccccbcacbacbabaaacbaccabcbcccabaabbaabbcbbccbabccbaababaaacaaaabcacaacacbcbcbabcacccbacaabcbbbbbcbbbcabaaaaabbbbccbbabacacabcccabbacbbbcbcabbcaacabbccbbbbabbbbcbbcacbcaaaccbabcbabacccabbacaabbcacbbcabbaabbbaaabbbbbabccccbbabcacbacabcbcbbbbcabcbcacacaccabacacbbcacacbaaaaaaaccccbcbbaacaacbacbbcbcccacccaacbcbcabcaabbbaccbaacbbccbbaccbccbbbaacacbbaacbabbccabbcbabaabccaabacbccbacbcbbbbcaccaccbcbbcbabcbbbaaaabbbaaabacccbbaabaacccacaacbcaccabacbcbbbbaabbcabaabcbacaccbcbaccbaaccaabccccbaaabcbcbccbabbaaabbbcbbacaacabbccccbabcaabccabbbccbbbcbbcacbababcabbcaacacbacacbcbcbcabcbbccacbaaaacbcabccbbbcbbccbbcacaacaaabbcaacbbabbabcaaacbaabbcccbacbccabacbcabbcabacabcaabbacbbcbcccbacbcbcbbcacaaacabcbababbccacbbcabbccabcaacacbaaaababaacbccabccccbbbbbcbcabacacbbbacaabcccbabccaaaaaacabccccabbbacbcabaaacacbbbcabcbbcbcbacacbbbbcbaabccaaababcbabcaccabbcbabbcabccaaccccabccbbabbbaccccbacaabcbbabbbaccaabbccccabbcbcbbccacbbabbabbcacbacbaccbbcbcbbccabababbbcabababbaacbacaaaccababbccbcabcccbccacbbacbcccbbcbacbcabacaacaaaaaacbbaaaabbbbcaacaabaabacbbaaabbaaccbaaaaababcbbaaacbcacbcbbabababbaaaabaacacabbbacbcccaabbccabbbbbabababcacabbcccbabccaaccbbbbacccbcbccbccbbcacacacbcaaacbbaacabcaacacbccbccbababbcccccacbabccbcccacaabbacabacabcaabacaccbcbabaaacbaaabcbbbababccbcaccacbbacbaacbcbcbacbcabacaabbcccacccaacbabccbbbbacccccbaaaccbacbbccacbacabbbcbcaabbacabaaaacabacbcaaccacbbabacbbcaccccababbbabbbacacccbbccaaabaaccacacbbabcbbacccabbcaacbacaacbcbccacccaaccbaabbccccaabbcbbcabacccbacaacaaacbacccacaccbabbbcaabbacababccbaccccacbbccabbcaaccbbcccbaaccacbbbbaaacbabcaaaacaaabacaababbacbccccbbaabbbbacaacbbccaacccabcbcabcccacabcbacaabaaabacccbcaabbabbacaacbbbbbcbbacccacaabaacbbaaaabcbcbbccbabbbcbcaaaccbaccaaccbcaccababbbbacacaccabcccaccacaaaaaaccbabbabcbcccbcccbbacabbcabbbacbccabbacccaababcbabaaaaaabbaccbccaaaccccbccababacbbbbcbaabbcbbbccacbccbbaacabcbccccacbccaaaacbbbbbbbbbbaccabccccaccaabaccaaaabcacacbabaaabaacaabbaccbabaccaacabaccacbbbaabaaabbcbccbbbcababbbbcabcbbbbbaacbcaaccaacaacbccccccccbacbacaccacccbbccabbababbbabbbabbbbaabbcccaaaccccccacaaabbcbcbcacacabcbcbacacbcbbccbbbacccbbbbbccbaccbacbaaaaaaaaccacaaaabaacaaaaccbcbbbbaccaacbcaaabbbbcabbcbacaacccbacbccaaabaabcbbbbbcacacccacbbbccbccaabbccaabcaaaaaabcbaaaaabacccbcccacacccacbcccabcaacaabaacababbaacaacbabcbabcbcbbcbbcbccbabcbbbaacabbacbcaaaabccbcbaaaccabaaccaacabcacaacccabacbcbcbbcbbbcabcbbcbaaacaacacabbababaaccacbbbbaccbaacbbbcacbbbbbacaccbcbbbbaababbbcacabbcbcacbbbacccbccbacacacaaabbcababcacccabacbbcbaabbacaaabacabaabcbabcacacbbccaaaabcbcbbbccbaacbcaabbbbbbbcaabbacbcbcbcbbbccccbccbbbbbacacccabaacbbccbbacacbcaaccabacccbacaccbacabbcccacbbaacacbabcacbabbcbcbbcaacbaccbabcbaabbaaccbbcbcaaabcbaaaacaaacaabbaabababbbccabccccbaacbacbccbbccbcccbaaabcababcbcacbaababbbcacccbbbacbcbbbcbcaabaaabcbbbabcbccabcbcbbbaacaaccccbacaaacccbabbaabbbbccccbaaaaccababaccaabcccccbaaabcbababcccbbacbabababbccabacacbaaacaccacbabaaccccccacbaccabccbbbcaacabbcccabbcbcabcaabbccabccbbaabbaaabaacccbccacaccabcccbcaccbbbbaccabcccbacaaababccbccaacacaacaacaccccacaaaabacaaabbcbcabbaacbbabcbcbccaccbaccacaabbbcaacccabcccaacbaaaaaacaaacccaabbccbaacacbbaacbcaacbaacbaaacbcbcacbbcaaccbbbbccaaacbbbcbbbccbabbccccaabacbaccbcaccaaccbbccaabaacbbcbbccccabbabacacbcaaaacbbbaabbaccbbbccabcbbccbabccabbbbbcbabaccccacaaabaacaaabcbcbccaccaaacbbcbcbbcbcaccabaaccbbccbaacaaabcaabcaccaababcbcbacbacbccacbbcbcacabacaaccbacbbcbcccbcbacaccbacaccbcbcccccbcbcabaaabbcaccbccbccccbbcaacbbbaaabcccbaabbaaabcbccbabaabbcaccbcaccbbbccaacbaacaabbbbcaccaacbcacccaaacaaaaacaabcccbcabcbbbbbccaaaaacccacbbbcbaabbcbacccccbabaccabbccbcbbacaaabbcbcaaaaccbcbaccbabbccbaacccccccccacccaaccbbbbabbbaacaaacbbcbbbcacacbbbcabbccbcabccaabccabbacabbccbbccaabccbabbcbbbabcabbabcccbcacabaabacbccaabcbcbbabbacbaabcabbccbabbabaabbaacabcbbcbaccbacaacacbcaccbbccccaacaccbbaacbbbbbcbccccaabaababbcabaabcbcbacbaccabcbacaaacccccbbcaacccbcabbbacbabacabcbcbbaacbcbbbbcbbbcccbbababacaccabacbbbbabbcaaaacbcbcbbcbcbaccaccbbcbaaabbbabcaaacbaabaabbaaccbaaacbccbccccbaacabbcacaaaaaabccbabbcbcaccbcbababacacbbaabbbcbccaaccbabbccbaacbbcbaccbbabbbabbbcbaacbbaacaacbacbaacbbcacbbbbacaaaabcccaabbbcababbcbbbbcabbabbacacbbcacbbcabbccabbcbccbbcabcbbbbbacacaabbbabbabcaaaaaccabcbaccacabcbbacccaacccabbacbabaacacbbabbccaabaacaabbcbaabbbacccccaaaacbcacaacabbacbbabcbaaaccbbabaacccaccacbbcbcaabaabbbaabbcbaccabacabccaabcccaccbccaccbccbbaabbcbaaaababaabcccaaaaabccbcbaacaccbaabbabacbbabbccccbbabaabcaccccaaaacacccbcbaccabacbcacbbaaacaccbacbccbacababccaccbccbbcabbcaaabcaaacbbcccccabacaccbccbbcbbbbbcbcbcacacaabaabcabacabbabbbbbccabbbbaababcbbcbccaabaaaacccbbcbbaccabccbccbbbaaaaabbbaabbccaacaaacbbccbcbabbbabcbaaaacbccbacaaabbbabacaaaababbcbbbbbaabbbaaaccaaaabccbbbaaccaabbcbcbccacccbbbccaaaaabcabaaccaaccabcaccbbbbbabccaccababaccbcaacbabcccccabababcacaaaaacacacbcccaabcaccbbbccaccccbbcccbabccbcccbcabcaccaacaacbcbbbcabababacbbaacabcbbbcbbaaccbccbbcbbcbccaaaacacbcbcbaabbacaacababaaaccbbbacacacabacccbbaaccabcbcbcaaacaaaccacccacaabaabaababbcbbabcccacacacababcccbaaccbacbcaacabbaaaaababcabbabaacbccabccbbbbacbcbaccabcabcacaaccbbababcbacbaabbbbbccbbabcbcbaabcbbaacaaccbacbbbacbcaacaaccbbccccabaaabbaababcacbacbbbcaaabcacbaacacacaabccbbcbaccabbabbcbbcabaaccbacaababcccabaaabbbaacacaaababaacaababacabcbbbccbcaabaacbccbbcbcccccbabcabbbaacccbacbcbcaacbbcbbaabacaccbaabbcaaabaaaccccbbaacccabccaccbcccbcbbcacbabaacbcaabbbcbcbbaaaaacabbcaacbcaababcabaaaacbcbaaaabbccbcbbaabaacabaacccbbaacbaaaaacbaaacbacccabbcbacaccccbabccaabccacababbcabcbbccbaacbbbbccbcbcaccbacbaaabbccbbcaccbccacacaaaaaccaaaaacaaccabcabccbbcaabbbaacacaaaaccaaaaacbcbbcbcbbaaccaaccbbaaccccbccbbcbaaaababcccacbbcbbbcababbabcacacabacbcbaccabaabbcbcbabaaacaabacabbaabcbbcaaaccaabcacaababcabcccabbccacbcaabbaccbccaaccbabbccbcaccbbcbbccbcacaccabcbaaabcbacbbbcabacbccbccbaaaaacaacbaaaacccccccaaccacccbcacbcbbcbbbbcabbbaacbccbbbaabcaabbaaababbbbacabcbabccbccacaaababababccccbababaaabbccccbbabbcbccababaccccccbaacaccbcccaaaabbbaccbbccccababbaababcabbbcbbcababbacababbcbbbbacccabacaabbabcccbbcbcbbaccbbaaabbbccacabaabcbbbbbabccbabbbbbaccbabcaaabccaabccacabaaaaabcaaabcaabccaccacabacbbaccccbcccbaacababaccacaaacbbbbabccbbccaaccaaaccacbccbbcbaabccccbaacccbccbcccbabacbaacbbababbacabacaacababaacbaacccabbcabbacbcaccbbacbbcabacbaacacbaaaabbcbaaaacabcaacbbbaccccaccbaccbcbccabbcbcbcbbababaabcbcbbcaaaacaacbabacababccbbbbbbaccbabbcaacacbabaccaabacbcaaacaaccccbababbccccbcabbbcbbbbccaaababbaabbbcacaaccccacbacbabaaacabbbcbbcaaaccbbcbbcbaccbbaacbabbabcbccacabcacbcacbbacabaaccabbccacabcabbbabcccbacbcbacabacbbaaabaccacbabaaaabcacbaaabbcaabcbababbaaccbabbaababcbcaccaabacaacccabbbabbbbbbabccbbccacacccaabcacabccbbcacbbbababbccaabccacacbbbbcabbaaccaacaccabcbbbbbbbbbaccbcababbcbcccbacccbbaacbcabcacacbabbacababbbbbcccbcbabcaacbbcbccaacbbcbaaabbbbabaaacbacccbacacabacaabccaabbabbbaaaabbabacabcbcbaaccccbaabaaacbccacabacacacbabacbbcaacbacbbcaaabacbacbcaaaaabbaacabaacbcbacaaabcbcabcbbcaaaaaaabcacbcbbcbbcbccacaccbcbacccabaabcbcabcbcaccabbbaccbbabacaacacaabccacccbbbcaccbabbcacbabacacacbccabbccaacccbcaababbbcaaabcbbabcaabbacbbbcbaaabcbaacaccaabbcabacaababcbbcbababacacbbaabbbbcbaabcbbccccaabcccacaccaaabcaccaaaabcbccaaaabcbbaabbaacbaccbbaacbbbbaabbccaccbacccabbcabbbbabaababcccbcbcbbaababaabbbbbacbccababbaaaabcbcccabcbbaabcbccabcaccacbccccabcabbcbcaacbccacabcbababbbbbaacacaaaabcabbbabcabaccbbbbaaaaaacaaacabacaaaaaccccacccccccbcaaabbccabbaccbbbcacbaaaaaccbcacaabaacbcccbaaccaaaccaaabcbcccbccabbacabaacabbacacabaabbbcbccbabacbcaccccbabcabaccaacababbcbcacccbabcccbaaccbaaaabbcabbaabbcbabbaaaaabacbbabcbbaabbaabcabbaabbcabbbbabbcbcacbcbbaaaccbcbcaaaaaaabacbcabcbcccbbcbbbbacbcccbbcbccacbaaabcaaaabbbacacacacccabcabbbbaaaabcbacabcacaccbaabbbcbbaaabbacaacbbabacbbacbabcbcaacbabcaaccaacbaaaaccbcaacbcabacccccccacacbaccaaabacccbcbabbcccbaaccacbccaaababccacabbbbacbcacaaacacbcbcbbcbcccbcbbbcabbbcaabcbbabbcababbccbbacbcacabbbbaccbcabccaccabcbaaccccabcccaccbbbccabaabcaaaacbcbacaabccbcbbaccbabaabbbaaacabbabaaabcaacbbacbabccaaaacbbbbccaababcbbbaacbcaaacaacaabbcbcbccccaababbbbabccaccaabcbbcccbaaacbbabccbbbacbbacabaabbabcabccabaabcccabaaaaaabaacacbbbabcbcbcacacacbbbbcabbaaccabcbbaabababbcacbbbabbcbbacaccccaaacbcbbaccbabcbbcbacbcbabbabacacbcabbbbcbbacaaacbbbabacccaccacbcaaaccaabcabaaaaaccabbabbcababcbcabcaccaccccbcabaabccbacccaacbbcbbbcacccbbccccbcaacaacacababcaababacabacbbabcbbcbaaacccabbaaabaaacbcacacaccbccbcacacccacbacbacbaaaaccaccbcaccbacbccccbcacacaaaaababcbbccaaabcbacacabcabcbbbbaaacabcacabaacbbbbbaaacaccaacaaacbbaaaaabacbcbabcaacbabaaaabaacbbacacbabaabcababacbacabcccbacbbbabaabbcbccbcbbabcabbbbacaaacccbcaabbcabbbbbacbccbbccbbcaaccccacbbacbbbbababacaababcbabaaaaaccaaccacbaaabbbacaccabccbbbacbcbbaacaaccbbbcabbaacaccaaacaccabacaaaabacabcabacbbaaabbbccccbabcbbbbccbcccabccaacabbcaacaccaaabbaaabccbabababbcbbaacaabcccacccacbccbbaccccababbaaabbccaaacbbcbbaabbaabaacacbacccaaabbbaababbbbcaacbbacaabcbcbbccccbbaabbbabbabaabaababccabbccbbbcccaabccaaabcaacbcacbaccccbabacaabcbcacaacbaacbcaaaaababbbcbbbbbccbacbcabacacabcbcbbcccabacbbabbbccaacbcaaccbbabaaabbcaaabaccbccaaacbbcbbbabaccabaccaccbbabcaacaacbbbccabbccbacbbaaaccacbabacccbababaccaccacacbbacbbbcbbacbcaacccacabbbacbacaababaaabbcbcccbbcabacbababcccabcbbaccbcbcbaacbcbcaababcccbabcccaabcbbbbbcacabaaacacaacaacbbbbcbaaaccbbbccabcaaccaabaacbaabccccacbbbaaabacbbbbcccaacaacbaacabcabcbacccaacbcbcbcbcbaabbabbabbbabccabaccbbababccccbccbacaacaaacbbbacacaaacbcccababaaacbbacbcbbbcbacbcbbaccaaacbcbbcbcaacaacbacbabbccbcbbccbaaabbcacababbbaaccbacacaaaccbcbaaacccbabbaccbaccaacacbbbabcbccbccacccbaacbacccaaacabbbbaaacbbbcabaccbccacbbbcbbaccbcaaccbcaacbcbaabcbcaacbcbcccbcabbccbacbcbcacccbaaccbabcbbcbaaacccccaacacabcacaccabbcabaaaaabcbccaabacbcbabbaaaaccabbcacaaacacbbaccbcacabbbcacbbbbabcbbcbbbbaccaccaaacaacbcbbbcacacbacbababcbccbcabbbbcbbccbbaaaacbabaccabbcacbbcaabaacbaabbcbcbabbcbaccbcbbbcbcacaabacbcccbcabcaccacaacaabbaabacbcacccacbcccaacbcbcabcbabaaabcccbbcaccbabbabbccaaabcbcabbbccbabbbabbacaaacaccbaaaaccbacbbcbbbabccacabaacacbbbcbbcbaacccccccbacbabcabcccaacaccbabababbbcbcabbcaabcbabaacaabaaacabcbacbcaccccacbccacacbcccaabbbabbbaacbccbaaaccbacaacccbaaabaabbacacbbaaacabcabbbcaacccbccacccaccaabbaaaacbaaabbabcbaaabaaccbcacaaacaaaaaccaabcbbcbbbcbcccccbcbbacabcbccbacacacbcccaccccbbababbbccccbccbaababcbacabbaabbaaacaaccaaccbcbacbacbccbbaccbabacbbacabbcbbaacbabaacacbcbaacccacbbbabbcccababbaccabcacabcaacacbacbbcbacccbbbccabcbccaccbcbccacaaacbaaccccacbbcccbaccccbacacaabbcbaacbcccbaccbaccbbcabcbccccaccbaaabaaabcacbbbbacabaaaccbccbcacaabbcccbccacabaacbbacaababacbccccbbbbababbcaaabaabcababcaacaacaacabccabcccbbbababacaacabaccbbcbccabbcbbbaccbccabaaaabbabbccabaacbbbaaabcaacbbbcaccacbbacacbcacabcbaabbbabcbababaacaacaababcacbaaaccacacabbcaaacbbcacabbbacbbcbbcbbaacaabbbcbbcbbaacacabbbbbabccaacbcaacaabcaccaacaaabccaccbaaaaaabccbcbbbbaaaabcccacabaacabbaacccaacbbaacaccacaaabaccabbbbacaccaabaaccbabbcbbcccbacbacbabaabaaacbaabbaaacaabbabacbacbaaaccbaccccccaccbaacccbccccaaacccaaaccbaaacbcaacacbbbaaabcbcaccccbbcaaabbcaaacccbcbabbbcbbaabaaabacbaabcacbacbbbbcbacababbcbacbbcbcbaacabcabacbccbabbbbbcabcbbaaabbaabbbcaaacccccacabaabcbabababcbaababcbcccabababacbbbabbacbbabaacacccaacbcbbaaabcbccbcbcabbccbccacaacabbaacccbccbbbcacabbacccbbbbcaaabbabcbbcababacccbabcacaabcbbaacbbccacbabbaabababbbbcbacaabacbabbbacccbabaccccabbbcabaabbabaabccabcbaaacccaccbcacababbabbabbcbbcbcacbcccaabccabaabcbbaacababaabaaacbcbabaacbbababcbcabacacbbcccbcacbbcccabbaaacacccaaccacccaabbabbccccbcbcbccbbbaaabaababbcbccbacbccabccacacabbbbcbaaaccccaacbbbbacbaccbcbcacbabbaaccacaaaaaabaabcbbbaababacaabcbbabacbbabaaccaaabacabccaacabcaaaabbabccbbcacbaabbcbaaccabacccccbabccaacaabbaaacccbcabbacacaccacabbcbbbbabbacabccacabacaaabaaababaababcabaaacccccaccabbcbbacabbbcaccbbaaaccaacbccbbaabacaccbacccacaacbbacabaccbcacbbbbbabaabaacacccbcbccbbbbbabcccabcaaabaabccbcbacaaaccbbbccaaccbbbacaabbcacbcbbbacbababbbccbaccccbcaacbcbbbbcaccbbbcabbcbabccbcbcabccababaaacaacbcabbbcbcbcbacaabacacacbbcbcbacbcacacbcaaabbbbbcabbaccacbcaccbabaabaacaabbbabaabaaaaacbbaabbabbacabaabaabbbbcbbaccacbbccbabccabaacbabacabacaaacbbaabcbbcbabcabababbbacabacbbabaacaabbcbacbcacacbaccbbacbccaabababacaccbcbbacbbccacbbbbbacbabbbcbbabccaacaaccbcbbcccbacaaaabaccaabaccbbabbcabbaabaaacbacbccbcbcabccbccacacacabcbcbbaabcbccbacbcaaaacccaabaccaccabacabbbcbbbbcccacaaaababacbaacaabbbbcbbaccaacbabacbbaacbbcbbbaccbbaaaabccbbaabbacccacbaccbbbbbbccaabaabcaaaababcaacaaaccbbbbbacccabbacbabacacbbabbaacccbcabaacacccbcccbaaacacabacbccabaaccbbbbbbbbcbbcbabacbbabccacbaccbaccbccccbcbaabacbabaaaabbaccabbaccbbcacacbaaaaccccccaaabaaaccccccbaccaccccbcaabaaaccbbcbcacaacacaaabcabcccbcaabcabbcbbaaacbbcccaababacbbccbacbcbbcaacaccaaaabcbaaccbcbbbabaacaaacccabcbcababacabacbaaaacaaccbcabacaacacaabacccbabaabbbccccbbbbbcbbbabaaacabcacbabaccabbbccbaaccaabccabaacabcacbbbbbbbcbcbbcaabbbbbccaaaaaccaacaaabbbbbbccbbbacbcaacababbcbcbabccabbcabbabbbabbccaaabbcccbababccaaaabaabcacababcaacbcacbbcbabcccbcbcabacabbbaaacbbbcabbbccabbbaacabacbbccaaabacbbcbbacaccaabbacaabaaccbcbababbcbacaaccbbacaabcaacabbaaacccbcbccbcbcaabcbbbccaaabbbccccbcbbaccacbcccaacaabbabcacbcacbacccacbcbbcaacbcabbbcbcabaabccbaabababbbbccacacbabcccaaccababacbbcbbcccacbcaaacaaabcabaaacbccababaccbaaccbcbacbaacbabbbcbcabacccbacbccbbbcbacaabcbccabcaabbbbbbcbcbbcbabcabaaaccabbaaaabcbbacccaaacaacabacbcaacaaccbabcabacabacbbaaacbcbabcaccaccaaabbbcaabacabbbaabacbcbabcacbacbaacccaaabacbcbaabaabacbccbacaccccaababbbcbaaababccabcaabbacacbacaacabacbcaacabcbacccbcaabbbacbbacbcbcacacbaaccbabbaaacbcccccbbbaccbcaabacabbcaaaccbccaacccacbacbcbccaaabbaabcabbbababcaabccababaaabbbcbbaaacacbcbcacbbccbacabcaccbaacbaaccbcbababccbcaccbbccabaccbbbaaacbbcababaabcbabaabaccacbcaccabcbabcccacbacaccbabccaabbcababbcabbacacbabcccbacbbccbaaaccaacacaaaccbaaaaabacabbacaaacbbbacaacabbabbbcaccabaacbcaabbbaaccaacbababbbbaabccbbbbcabbcaaabaccacbabaabcbaccbbaccaccbaacbabaccccbcbbabaaabababcaaaacacbbaaacbcacabbacaccbaabcaaccccaabcabaccabcabccbbbcaaaccbbabcacaacaabbaaabcaccbcacaacbaacbaccaabcabcaabaabacbaacbbaaccaccbbacbabcbcaacaabaacaaababaacbaacccababacccaaababaabcbaaacabbcbbbacacbccbbcbccbccbcbbbbacabccaaabbbaaaccbcaaabcaaacbaaacbbaccbabcbabbaacbabacabcbcbbacccabbcabcbcbbabcaccbbbcacbacbcaaacabbaacbcbabacbabcbaaaccaaacbacacbcaaaacaabbaccacbaabcbbcbbbcccaabcabaabacaaccabcabaaacacaccbcabccbaaccbbaabacbacbbbbccaacabcbcabbbabccbbaccbabbcbbcbbccbbbcccccccbaabcbbcccabaccbbbcabbbbbccabaabcbbacbbabcbccacaaccacbbbbaccabcaccbacbbacabbbbbcbbaccbbacacbcaaacbbcbabcababcbbbcbbcaaabbccbbbacbaccbaaaaaaacbcaabbabbcbcccbbcabaabaccccaaccaaaccaabaccbccccbbcaccaabbbcaaabbaaaaaaaacabbbaaabbcccaaaccacccbbacababbccbacabbaaccaaacccabcaabcacbcaaacccbbcbcacaccaccbcbacaaacbbacababcccaaaacabaccccabcbbaabbaaccbaccaacabccaaaabacbacbaaabccccbbbccbcacbaaababbcbbcacacbacbbcbaccabcaacbacaacabcbbcbabbacbccabacabacabcbabcbbbbbbacacbaaaccbcaabababbbacbbbbcababcabbaccbcabccabaaaabacbccabcbaacccacbbbaacbccbcbbacbaabcbbcbbbbaaacbcabacababaccbacaccbacaaaabcaabccbcacaccccbaccacccbbabacabbbabcacbcaabbabaaabccaabcacbbbabccbbbaabcbcabcaabbaabaacacccbaaacbbaababccccabbbacaaabbabbcbcacabcbcccccbccbbcacaaaabbbcbccaabacbccaabcccccbabcaaaccccaccbcbaaacbcbaaacaacccbccbaaacbbcaccbbaccbcaababababbabbcaabbacbcccabcbbcbbcaabcbccaccabccbbabababacabbcbcacabbaaabccbacccbcbabbaabaacabbababbcabcbccacbacaccccbbccbacbbcccbaababbccabaacacabaabcabbbbcbcaacabcbccbbaaacacacbbaabbbbaabaaabbbacccaababcacbcacababacabbcbbccbbaaabbbcabcbbbbabbcbaaaaaaacaaccacccacacbcaacacbabbcbccacabacbabacbabcccababaabccbaccbcbcbcacbcbacabacbbbacbbbccbbabbaccbcaaaaacccababbaccabbaccabbacaaabbcbaaaacbaabcccaccbababcbcbaabcaccbabaaccaccccbabbbcbbbcbcabbabbbabbabcaccbccbacabaaacabcabbbabbacaabbcabccbcbbcbacbbcbbccbaabbacacabcabccacaaccbaabaaccacaacaccbbacbccbaacabcbaabbcacabacbacbcabcacbaabcbaabaacbccabbabaccaacabbbbabacaabccbcbaaabaabcabccabbbcbabaabaacaaaaaabcaabbbabbccbcbcbacaaaccaaacaccbcbbbaaabacbccaabcbccbaabbacbaaaaccbabacabaccaaaaacbbcccaaabbccaabcccacababcbcaacabababbabbacababcccccccbbbabacabbbbbbcaaabccaaabcaaccaabcccbbbbbbaacacacaabcbbbccaccbaccbbcaabbabcaabcacabcbaaaaabbababaaabbbbbbbbbbcaacbbcaabcbaabbaabcbcabbacccccaccaacbcbcbaaccaccaccaacccabbccaabbacbacbcccaaaacbccaaccbbbcbcbaabacacacbabbcabbcacccbaabcbbcbccccbccbbbcccbccbcbabcabccbabcabcabbaccacaacbbcaccacccbbbabacacacccaacacaaabbbbbbcabbbbbbabbbbbaaaacbbbcbababacbcccaaacbcaccaaaaabbaaabacbcbaacaaaabcccacbbbaabcbaacaaacabcacbacbabcccabaabaabcbbbcbaccababaababaaacccbcccacabacbaaccaabaacabaabbabacbabccccbcccabbcaaccbccccccabaababbbabababccacaccaccbcabcbcabbcaccbcbaaaabcbaaabbbaacaaaaccccccababcaaaccbcbcabbaaababaccacacbbaccaabaccbbbcaaabcbbccabccbccbcacbbaabccacccccacbbccccccabcaaabaaccaacaacccaacacaacabcaabbabbabbcbbbbabccbcbcbbccccbbbbbcbbacccbbbacaaacbbacacccbcbaaaacacacbacbbcacbbbaccaccbbabbcbbccaabccbaaaabccbbccbaaabaabbbabcccacaabbcbacabaacababbbcbbcbabbbccaaccbcaaabbccbbbabbabcabbbabbbcbaaabbbcbcacccbcaaccaaaacbcbcaccaaacccabcbbbcbacaabacbbabcaabbbaccbcacbaaaccabbbccaabbbcbccaabaccabacbbbcaccccbbcbcbacccababbccbababcabaccabcbbaccaaaaaccabaacbbaccccbabcaaaabacbabaacbaccbabbacbbaaaacbabccacabccbbbccacbccbaaaccbccaabbcbbbaabacabcacbbaacbcaccbbababbacbabacbbcaccaabcbcaacccaabaccaabbbbacbbabbcbbbbbcbbaaabbaccabcbccacaccaccabbacabbbacbbabcaaaacaabaacbbaabaacabcbbabbbbaacaacbccbbcabbaaabbbbcccbbabbbcbbacbbacabcbbabcabbcccabcbabccaaaacaababaacccabbcabbccaccbaaccbabccccabbbcaacbbaababcabaabcaabbacaabcbcccbccabcabccbabcacabacabbccaccabccacccbcbbabbbaccbcabacaabaabcabacccbcbaccbcbaaaabbcacbbbcaaaacaacabcbbacacbacaabccbcaabccabbbabccbacbbaaacbbacbbccacacbbcbcbcbcbaccbbabcbccbabacccbbcabbacccabacbaacbababccabcaaaaccacbabcbacbaabbbbaaaaaabbccbcbccbabcbccbbcabcaaaccbcbccbacbacbccbabbacaacacbbbabbcaacbbcbbcaacaccbabbcbbababaabccbbabbbcaccacbcabbcacbacbbcbaacacccabbccaababbbcaaacacccaaabbabcacaababaabcbaccccbaacbcacaaabacaaacccbbcaaaabacccbbabbabbbbcccccbcbcbcbbccbbaaaccaccbabcbacbaabccccbcccbbcbbbcbaaacbaacbacacbcccabacacacacccabbabbcccaaccabcaacccaaabaccbccccacaabbbbacaabababbbbcccbccbaacaabccabccacccbaacaacbbabbbbbbbbbcbcbbbbabaabaabbaabbabaabaabaaacacbccbbaaaccaabbcabaacbccbacbbbcbbccaaaacaaacccbbaaabacaacaacabbbbcbcbbabacbaccbbaaccbacaccababbccccabcaccbabaacabaaacbccaabbabacccacaaacbbccbcbbcbcccaaacaacaacaabbbababcabcacaccabbbaacbacbbcbaaaababcaacabcbaacaabacbbcbccccbabbbcabbbabbbbbcbaaabcacccbccaccbbbcbbbaccbabcbbbaccabcbbbabbbbcabccabababaaaababccaaccaccbbccbcbcccbbcaabbaabcaaaaccbbbbcbcacaababaaaccaacababbccacabcbccbbcaccaaaabcbccbbacccbaacbabcacbacacbbcbcbcaaaaccacaabcbbabcbcabbbbccbccaaccabbbacacabaacbcaaccababbcbaaccccbbbcccacaabcbbacccabccacccaabbccabbacccbababcaabaaabbcbbcabbcaabbcbcabcabcbcaabbbbcaaacbbabcbccbabbccacbacacbabcbacacabbbacbaaabacbcbaaababaccabaabaccbbcbccbacabaaaabbcabaacbaccabababbababbbbabaaabbbbaacbbbbcaaccbccbabbcbaacbabaaccbaabcabbabcacacbabacbbbcbaaccbabaacccbcacaababbaaabbccacacacaaacbbcccaabaaccbbcabacacbccccaababababaccacacbacccabcbcaacbbcbcbaccbbbcbaababcbacbbcaccacbbabcacbbcabbccacbccbbabbcccaaccbcbbcabbaabaacccbacbbabacabbacccabcbabbabaccbacacbcccababaacaaacaacbbacbcaccbabbcccaacbacacacabcbbbccacbaabcaabbbbabcbacbacbbaabaabcbaabbccbbcbcbabaababbcccaabaaccbabacbaccabcabbcbbcabbacabbccaabcccbaccacbaccbacaaaaaaacbcccbabbcbcbcbcbaabbcbababbbccbacbccabacacbabbbbacabaaccbccabcacbbbbabaaaacbbaaaabcacccaabcaaacaccabacccccccccacbcacabbcaabbacaabbbaabaaacacbcaaacaccabcbabbbccabbaacccbacbacbaaacbcbbccccbcbabccabcbbbcaccbacbcababcacbcabcbcbbacccbbbccbcababcbabacbcbbaabbcbbbacaccbabababababbaaabcbbcbacbbaaabcacaaacacccabbbcbacccacacbbbbabbbabcaabbbbaccacacaacaccababaaaabcbaaacabbabbbbbbacababbabbacccaaacccabccbcbcbaacbacabaaabcbabcabbbcbabaaccabbcccabcccbbbaaabaacaacbabcbacacbabbaccbccacbccbaacccacbccbbbcbbbbcabbbbbcbabcccccccabaaaccabacbcccbacbabacbaabcccaabacaccbbbccbcbcbabaaacaabcccaabbcbaabaabbcbaccacaacccacbbcbabbccbabaaccbcabacccbcbaaaaaabababbaabbaccaaccaabbaaccaacbbcbccacbaaabaabbbcacbaccaaccaccbcbbbcacbbbcbacbaacccabcaabcccacbcbbbbccaccaacbaabcaabbbbbabaaacabbaccaababcaacbbbbaacaaaabccbbbabcabcbacbaabacaacabcbccbaabbcabbcccabbaaaccbcbcabaabbaabaabbababaccaabbcbbabcacbcbacbccbcccbbbaaccbaabacccaabacbacacaccaccbbabcabbccbbacbabcaaccbcbaaabcbbcabbaaababcacbbabbabbbaabbaabccabbccbccccbababcccbbabccacaccbacbacacabbcbbaacaaabacaccbcccacaaacabbbcbbbbbbcabbababaccbacabbcabcbbbbcbbbbbacbaababccabbcbcabbbbaccabbaacaaababcabbbacaccabbcaacbabaccaababbbbccabaabcccabcccbaccbbaababbbaababcbbcbabccbcccbcbbaacbbbcccacaaaacbacbbbccbabcbaacccbbabcccbaaaabbaaccaccacbbbbbcaaacabaabbacbbaaccabbcccbcbacababccbacbccbbbbabababbbacaabbcabaabbbccacaccaabcabcccabaacbcaaabaaaaaacbcbcccaacabbaaaaabbbbbabcbcbbbababacaacbbaccaaacabaaabaccbbbccbcaabcbcbcbaaacbbcbccccabaccbaacccbcacbacacaaabcabcccbcbacaabbabcacacbcbacccaabacbaabccaaacccacaacccbacbaccabcacbcccbaaabbbbbaccbacbccbacacbaabacbcbbacabcabcbcbacbaaaacabbcbaccbaaaacbacbccacaacaababbcbbaacbbaabbccbaccacccaacbabababcbcbcacaaacacbccabbcabccacaaccacbbaaabaacccaacbbacabbaaacbaabcbcaaaccbcababcacbaaccbbcaaccbababbbcaacbbbbacbaccacbccbcbbbbcabbaacbbaaaacbcbccabccababacaabaacaabaccbcabbbcccabcbbbcabbaaaaabbcbbaacabbcbcbcaabcabbabbccccbccabaacaaacaabaaccbbcabbccabacbaabaccbacaacacababbcbcabbbccbacbcabbababbcaabcccacaaaacbabacacaccaaaaccccabbbbbcbbcbbaaacaabaabaacabccaabaabccbaccbaabccbcabbccbaccabacaaaacccabbaacbbccccaaacacccaababbaccbbaaaabbaaccbacbacabbbacacaabacaccbbaacabbbabcabcbbabcbbbcacbbaaacbbabccbbbacbccaaabacbbababcbacbbbbbcbbbbcbbcbbabbbccacbabccbccbcacbbabbccabcbacbaaaabccccacaaabbabbabbcbabaccbcbaacbcbbaacbaccabcbabaccacbccccccbbcbcbbabcbcccabcbaabaccbbbcbbcbaccbccabbbabccaaaabcbaabbacccbcbacbcabcabbcbcabcbcaacccbaabacaacccbccaccbcbccbbaccbbabaabbbabbbbbabacbabcacbcbbaaaccbcaacaabccababacabaacbabaccacaacaccbcbbaaaaacccbbcabaabcccbcbacccbcbabcbbccbbcbaaabacbbbcabccaabaabcabaaabaababbcbbcbcbbcababaccbbbaaacccaacaaaaacbcabcaaccacacbbaacaacbcaabbbcabbaaababaabccacbbacbaabababbbbcbbcaccbcaccbacaaaacbaabbcacaccabcacabcaabaabcabbbccaaacabbcbbbabaaacbacabcbccbcbcaaabbccaaccccbcbccbcaaccaccbbbcbcabacacbcaabccaccccbaabbbabcaccacabcbcacbbbcaaccbabbcbbccbbbccccaabaacabcaaccacbaaabccacbcaaabcbcbcccabaabcacccbcbbbcbaabbcaaabbacabcabbbcaabbbaaabbcbcccbcaabbaccaacccbbacbabcabbaabcbcbaaaacaaaaaacbacabbccbababbcbacaabbcccbaaaaabbabbbbbacaaccacaaaacaccaaccaabbbacaccbbababcacaababbacccbcbababcabbbcbaabccabbbaaacacababbbcaccccccaabcbcbcacacbbacaccbbcababbacbcbcabbaaaabcabbcccccccccabccaacaccbabcacbabaccbbaacccbbbabaabcbacabcabcccccacabcbccbcbbbbbbbbaababacacaaacaabcacccaccacbbbabaaaaaabbabbcacbcbaabcbabcbacbcbcbaacacabccccbbbcacacbccbbbbabbbabcbcbcabbbbcbcbcaccbabbcaacccccaabcacbbcabcacbbbcbbcaaabaccbcacbcaaacabcaaacccaacbccbaabacbccccaabcabbaaabbabcaaabbaccccbaccbbbbcabacabcbbaacacbcbccccacabcabbbcacccacabcabcacccabbaabbacaaaaacabccbbccbabcaaaaaabccbabbbabcabacacccccbaccabcabcacccbacaabaccccbcbcccbabaababbccccbcacccccbbbbcabacaaccbbbbacbbacccccacccaacacacaccacabbababcbcbabcbbbcbbbccabacbaccabccccbaabacccaabcacbbcabbccbaabcbcbaaccaabaabcbbbaacaaaabccbaccbbccabbbbcacbcbcaaacbacaaabcccccacbacbbbabcabcabccaacaaabccbccbaaacabbcbbcbcacbbbcaababacacbbcacaaaccbbccaaccaacacbaaabcbaaabbcbccabcccccaaabcbbbccabcabacbaccbcbbcbcabcaacbaacbcbbcccbccabcbcbbbaccccabcbcabbcccbaabcaaccccccabaaccbbcbacaaabcacaacbabacacccbcaababccabacaccbcacbaacabaabaaccacbabccabcbcabbabcabccbcaaabcbabbaccbccbbbabbccaaabccccaaccbcccabacbbbabbcaabaabbbcaabaabacbbbaabaabaacbabcbbbbacbbaabbacccaabaabbaaccacaaaabacaccaccacaabcccccacbbabbbbcabcbaaccbccbabacaabacababbaaccaaabcabbaacbcccbbcacabbcacaccaaaccccccbcacbccccaabbaaaababcacabacabbbbbbccacccbccbcabacaaabbaaabbccccbbaababcacccbcbbbcabbaacbacbabbcbacbbbccabbaabcaabbaacabccaaaaccbcbaabaccccaccabaaaaabcabbbbbaaacbcbbacbcabbcbbcbbccbbaaaaacbcbabaabbbbbbcabaccbaccccccbbcaabababbaaaacccacaaaacccccabacccababcacabcbbbabbbbcabaccaacacaacabbcabcaccaabccccbcccbcbbccaacbababaacacccccaaabababcbccbaaaccbaacacacaccbabaabccbcbaabcbbbbabbbacaacbbbcaaabbcbcbbabcbaaccacacabaccbbbbccccccbaacbbccbbacacbcabcbbbaacbbcbcacbcabcbbcccbbcbbbccccccbabcacbbccbacccbababcccaaaccaaccbbcabaccbccbcbccbaaccbccaaacabaaaccbaccaacbbcbacbbbabacbaaaccbbaaccbbbabccbbacbcabbacabbbaccccabcacababaacabaaaccbcaabcccbbacccbccbbcbcbccabbcbcccacaabcccabacbbabbcbbccaccbccbcccacbacbccccabcaabaaabccbccabacbbaaaabaacaaaacbaabbcaccabbbbaccabcacbaaaaaacbbbbabaaaaaccaacacbbcacaabaaababbbcccacaacacbabcabaaababccccccbbbcacacbbccccaaccabaabaaccbcbcbcaacacacbcbaccbabaacaabaccbacccaabaaaabbaaabcbcaacbcabcabbabacaaaaaaabcacbabccabaacbabcabbaccbbcbcbcccbacabcabccabaaaacbbccbaacbcbcabbbbabcbbcabaccaaccabbaaaaabbcabcbabacbccabbbbbabccccaacbcbcccabcbbabbcbbbcaaaaaacbacbbacacbcabbaacaabbcabcabbcbababbbaccababaacaaaabacabbcbababaccaccbbbacaabbaabacaaacccabbbccacbaccaaaabbbabcaccabbbcbbbaacbacbbacababbbcbabcabbbabababaccabcaabbbbabaacacbbccbbaccbabacbbccaacccbaacbcabbbbccbccbbccbcaaccccabbbccaacbacaaababbbabcaabccabcccaabbbbbcabbccacbccbaacaabcccabcccabacccbbcacaaaaacbcaaabbababacccaccaacabcbbacbcbacaccbabcbabbcbcccbacccacaaabcbacccabbaababcaaabbbbaaabbccacbacbaacabbbcababbabbcbababbcbaabbbcabbccbabcbcbababccbcbbcacbbccbcaaaaaabbccacabbaccabaaaabbaabccacbaabcacaacaaabcaccaabaccbbcaaabbacaaaccbbbbaaabbcbccabbcaababcccaaaaacbaaccacbcabcccbcbabcbcaaccbabcccbacaaaccabcbcaaaaabcbcccccacacacbbcaabcaaacacaabbbbacbcabbaaccbacacccaaaabbbbbccaabaccabcbabbbaaacbbabcbbcaaccbccccbccaacbacbacbbaccabccacbbcacaabcbaacbcbcaabccaabccccabccaccbacabbcbcaaccccabababacccbcaaabbaccbbccabacccbccababaacaacbaaccbbabccbabacbaacabccbabccaccbcacbccbacaccbcbacaccccbabacababcaacbbaabcccbcbabcaaaacbbcbccaccbcbbcccbaaacacbccbbaaccccccbbaaabbbabaababaabacbbcaababbcaabaccabcbabcbaaaabaabaacbccabaccccccbbbcbbabcbaaacaabccbaacacacabbabcabcaccabcaaabcbcbacbabbbcbabcaacbbbbbabbccbcabbbcbcbbbbcacabacbccacaababbacabaacbbbbaaacbbacacbcabbcabacbcacccbcaccabbcaacbcaccbbaccabccccaabacccbaccbaababcabacbbcbcbabcccbabaabcabbbbababbaaaccaacccacaaacabaabacaaacabacabcaacccacbaaccabacabbcbaabcabccccacbaccbcbaabcbbccababcaaccccbcbbbbbaaaccaccacabcccbbccaaabacbbaccaccbabcccccacacaabaacacbaababaabcabbbbccbbbacaaababacaaaacacaccccbacaabbcaabbccabcaaabbcbaacabacbabbccbabbaccaabbcaaaaabbbcbaccbacccacbabccababcccacbbcbaacaaacbccacaacbbcacbaaacbbbbbabcaaabbbbaaacacbaabcbcaacabcacccccbccbccacbbcaabbbcbbaccaabcbcaacbbacbcaccaaabbcbacaabaaababbcccacababcabbbababbcbccbabcccabaacbbacaaabbcbccccbbababbacccacccbbbcccabcaabaabbbaacabbbbccbcabcccbaaabbabbabaabacababcacbbccbbabaacacaaaabccabcbbcacaccbbabcaccaccbcaccabccaaacaabcaaaccbacabbababbaaaaababaaaacaaccccbabcccbcbacccaabcbaacbabaccbbaacbacacaacaabaacbbacbbacbcaabbcbacacccbcbcbcaabccabaabbccacacabacabbaababcaaabbbccbbabaaacbbacaababcababacbccccccacbbccbaccbabacccccacaabcbbbacccbcbbabccabbaaabaaaccacbbaacbcbbacabcccaabaabcacccccaababaaaacbccacbccbbccbbcbcbccccabbababaabcbcbaaaaabcccabcababaabcbaabbccaaabcacbcbcaabbabcbabaaccaaaccacbbabcabcacbcccacabccaabacbbbcacbcaabcbbcaaacbcabbcbcaaaacabcbccabcbbacabbcaacacaaabacabbbbabacbacaabaabbcaabaacaacbaabcbabbacaccabcbcbaaccababcabbcbbbaabaacccaaacabcbabaaabaabbcbcabacbcabaacbacaacbcabcacbbcccccbabacbbbacacbbbcbbaccabcbcbcaabaaccccacabaabaaaababcbaabcaaacbbaccbcacaacbcbbabaacbacbabcaccabbbbacbbaaabacccaaccbbcccacabcaaccbaabcabcccabbccbbbcabccaccbbcabababbbbbbbaccccaabcababbcbccbabccabbacababacaabcaaacbcbaabcbbcbabaacccabaaaccabcababbcababccbabbbcacabcabbbcabbcccaccabaacbccbccccacbacbbcccbbcabcaaaaabccacbabcbabcabacacbacccaaabcbaababcccbaccabbaaabacbcabcbcbbabacabcbcbccacbabcbaccccbbabcaaccccbbbbcabcbacaccababbaacaaaccbaacacbaaaaacbbcccbcaacccbcbaaaccaababbccabcbaaaacbabcaccbcacaacabcccaaabbbccbcccbabbaccbcabcccbbaaabacbccaababcbaaacabccbbbbbbbaababbccbaabbaabbbacccccbbaabababccabacaabbaababccaccbabcaabaabaaaaccbbacbccbacbbbccbcbcbcbccccaacbabcbbaaaacccbcbcbabaaccccbbccbaacabcbaccabaacacbccabccbbababacabacaaaabaabccaacaababcbbbaaaacbabbbccacaabbaaabbbaacaaabbcaaaabbbbaccbbbabcbcacbbbcbcabcbcabbacacacbcbaabbccccbabcaacabbcabacaaacbcabbbaabbaabaaacbbcaabbacababbbaacbbccbcaabcaacbcacbacacabaabbacbbcbbbbabaacaaaaababccabcbcabccbcbaaabacabaaacbbbacbcbacaaccabcbaaaaaccacacaaacbbabbcaaacaccabbbabbacbcccccacaaababaacbaaacccbabbccccacacbbabbcabbccbcaaabccaacbcbbbabcbcaacaaabaccbcabbabacabaabaaabcbcabacbccbbacbbacaccababcabbcaaaababaabcacccbbcabacbbaabbcbcaccbccabcbcbacababaccbcaaaacabcbacacaaaabbacabccbaacbccaacbbaaaaaabbaccccacabbaaaaabcccbababbacaaaccaacabaabacabbabbbaccccbabcaabbbbbccabbabcbbbcccacccccabcaabccbbabacabbbaabaaaabccabbcacaacacabbbbccccacababaaabccbcbcbcccacbcbcaacabaabbcbacaabbbcababcabbabaaababbbaacbbbcbcacbbaababacaccccaacbaacbabcbcbbccccabbacacccaabbacbcbacbcbbbbbccbbaabaacbbccbbaaacccabbcaaacabbbacaaaababcbcaaaacacaccacaaaccacabbabbbcaccbabbacccaccccaacbaaabcaaacbcabbabcccbccabacacaccbaacccccabaacbaacbaaacbcabbccabaabcbaacbbaaabacbcccacaabacabacbccabacbcccaaccbacaaabcabcaabbcccccacaacabcbbabbacbccbaacabcaababcccccaccccabccbccacbaabbbbaaacbbcaaaaaaccacbcbcbbcbcabaabcaacbaacbcbcacccbabccabcccacbbcabcbcabacabaabbabccbaacbcbbbbcccacbababcbcabbcbbacbcaabbbbbaaabbbaccaaabbabbcaccabaacbaabbabbaccbcaaaaaababcccabacacccbabaabacaacabbabcbbcaacbccabbbbaacaacbbbbccbabcaabccbacccabcaababbaaacaacbccbacaacabccabacbbbcccbabccbabbbcbcbccabaacabbacccccaccabcbacbbbccbcbacbaaabbcabacccbaacabccabacabbacccbaaaababbbabcccbbbabccbcaccbbcabccbabaccbacbcbcbcabaaabacaabaabbbbbbaacccbbccacacbbbacccbcabaaccccbbacbaaaccccaacaacbbabcbaabcbbcbacaabcbcbbbbacbbbcbbbcbaacbbbbbccccabccccaacbcabaacbcbaaccbabbabbccbbcbbacbaababbcbaacbacacbbaabbbacaabbcccaaabaabcbbcabbbabcbcbbbcaababcaccbacaaabbcacbcaccabbababbabcaabcbcabcccbbaabaaaaccbaabbaccabacbbcabcaacabcabbacbaaacaaccbacabaacbbcccbaccaaaccbccbbaccbcbccbbccbaccbcbbbcbaaabaabaaaccabbbbacaacabcacbcabaccabbbcbcabbacaabacccbbcccbbcbbbccacababcbbbacbbbabbabacbaccbccbcbaacaacbcbcabbbabccacbcbbbaaccababcbbaccbccbcbacbaabbcbababaabcacbbcccccbcaabcbcbbbaaaaaababbcaabbaacaabcbcbbbacacaaccccaaacbcaccccaaabbcabbacbbabcaaccccbaaacabcacbcbbaaaaabcbacaaccaabbcbbacabcabccacbaacbabaccbcbbcbcbacabaaaacbbbccbcbaccccaabbcbcbbabbabcbbcbcacaaacaaabbcacbcbabacccbabbbbcaccccbcaccacbbbbcbcbcaaaabcbbbbacbacbbcabacbacbcaccbcbbcabcbcbaccaaccbabcaababaabacccabaacbcaabababbaaabcbaccaaaabcbbaabcacababbabcccccbbaaccbacacaccbbbbabcaabccababcbcaacbbbbbccaaaaabbaaaacbbbbccbacbbbabbbbccaaabcbbacbaaaaacaaabcabacacccccccaaabccbcbaaacbccbabbcccabcbacacacaabbccacacaaaaababaabccabcaacbbbbcabbbccabcbcbcccbaaaabaaaccbcbabaccbbbcabcacaaacbcabbacabacbccbcaaccbcbaccbcaacaabaacbcccbacaacccaacbaabbccccbacccabbcaacbbcabbaacabbacbcaacccccaaccacccbccbabcacaabcabbbbcccbcabaaccbaaabcbacabacacaacacbcabbbccbcccabababcacbcaaaaabbabacaaabcabcbbbaaccccccaccaaabcbcabbccbcbcacabaccbbbbbabcacbabcabbcaababbcabbbaacbaaaabcbacbacacbbcbccbcaaccbacbcaaacaccbcabaaacccbbbaacabaabcbacaacaababcabbcacacbacabbccbaababbccabbbcbacbbcacabbcbaaaaaabacbccabbacbacbcccacabcabbacaccccbcabbacbcbaaacaacaababccccbcbabaccaababbcbbbccabcabcbacbbaabcaccbcaccbccbbbabbcbcabcbccaacbccbcacaaaaaccacaaabbbcbaababbcbbaabacbbcaababcccacbaabbbccaccbababbbbbcbcbccbbbaacbacbaccaabcbcbcaaaabbbbcbcbccabcbcbbaccbcaabaabcaccbabccaccccbbabcaacccababcbbabcaabcacccaccaabbabaccabcaaabbbabbabcbbabaaaaaacaccabaaaaacaaacbcbacbbbbbcbbcccbcbcacbaccccaabbcaccacccaaabccaabcbaccbbaccbbcbcabcbbcaccacaaacbbacbacbbabbbcbabbaccccbbabaccbaabcbbabacbccbcccacabaaaacacbbaaaccbabaaabacbabbbcabccccacbacaaccacaabcabaacacbaccabbbabbaabcacacbcacacbacccbcacbaaaaabacccaccccccbcaacccbcbbbbaacaacccbcabababbaccabbcbcccaccacbcaccbababacbbbbaabaabccaabaccaaccacacbbbbbababaaacbcbbcbacaaccabcbacaacbbcbccbbaaabaabacacccbbaaccbaabaabbaaabcbcbcabbacccaabbbbabcbaaacacbccbabcbaacccabbcbacccbaacabaaaacbbbacccbcbbbaacbaababbacbabcabccbcccbcaabcabccabaabbabcacbacaaacbcbacaaacaccbbabcbccaccabcccbaacccbcbabbabcacbaaabbbbbcacacccacbcabbabbbcbaaacabbcbacaaababbbccbccacaccacbcaaccbccbabccbbcccbabcbcbbbbacccccbacccccbaaabcabbabaacbbcaacaacbacaabacbaccbcaaabccabcaaaaabcbabacccabaabcababcaccccabbacbbacacaacbbcbabcbaabbbbcabcbcbacbbbacbccbcacaabcbbcaccacbbcabccacccbbacbcbbaacbcbbbbbbcbccacccbbcbccccabbcbbbbcbbccacbbbbcccaacabccababcbbaaaaaaccabccacbbaacbabccacacabcacccccccccaabbbcaabaacabaaabccbabaacbbcbabbacbbbacacaaabaaabacccccacbccabccbbccccbbbcbbcccccacabaccbbccaaacacaabccbabaaacacacbabcaacbcaccbaaababcbccacabaccbccaccccaccccccaccbccbbabcbcbcbbaaccbccbbacaccaccbacaabbabbbccacbbcbcbbbbbbacbccbaaaaaaabcccabacbcaacacccaccaccbacbcbcbaaaabbbbacbaccccbbbbcccacbabaacccccabbbaabbbcccaaacaabbcbbbbcbbcbabcabaabccbacbbcabcbabbabcbbcaaaacbacaccbccbabbcaacabbaacbacacbbbabbcbcbaabcacbababacabcccbcccbbaaababbcbbcbcaaccccaccaaacbbccaababbbcacbcbbcacbbbccbabbaabbbaabccabbcaacacccbacabaaacccabbbcbcaabcccbaccbbbabcabcbbbccbbcbcabcbbabcccaccaaacbcbcacaaccabccabcbbaabccacbbcccbcbbcaaccbcacbaaaacbcabacacccccbaabccbaaaabbccbacbbbcbabacbcaaabaabbbaccaabacaccaaaaababaccbbcabbcbabcbccacbcbcccabccbbbacbbaaacbaabccbcabbaaacbcbcbbcaccccbabacccbbbabaabacbaccccababbbcccbccacbcbccbccaaaabaaababaaabbcccaccbabcabccaabaccbbbbbbccaaccacbabbcabcaabaccccbabbccbaaaaccaccacaccbbcaccbcaacbcacaacccaaabbcaccabacabccbaccbccbbbccbacacacbcccbcacbcbbbcabccabaaacacbaabcabaaabccbbaaaccccbacccabcbaabbaabaabacacbccbaacabbbcbacbacacbabbcccbacbcbbaabbcbbababbbabacbbbbcaccbcbaccabacaacaacbabbbcbaacbcaaacbbbabccbbacacbcaccaaaaaaacabcacaaccacbcaabbaaacbaccabbcaabcccabcbbaabcacaabbbcaacacbccbbbccbbaacacbccacbccbbcbacbabccbaabcaabbaabcbbbccbaabccbacaaacbbbbbabbcacacaccbbaabaacbcabbabbbbcabaaaccbbccbbaaabacabccacccabcabacacaccaacaaaaacaaabcbaaabccccbcbababbabbacbcabbaacaccaccabcbccbcbccbcaabbabbbbccaacccacabcbacbaaabbabbccbbabcabaaaccabbabcaabcacacaabcacbaaccbbccbcacbbcaacacaccbcaabbabbbbaaccabcccaacabbabbbabbbaccacbcccaccacacbbabcacccababcaacacabbbccbbcacbcaaabcabbcbcbbbbaaabcabbaacacbbbbacaaabccbccbcbbababaacacbbaaabbabbcacbcbbaacbcbaaccbcacabcaababcccababbcaacbcbabbacabbacabcccabbaccacbbcaaabaccbbbcabaabbccbcaabbbcbacbacacaccbccbacacbbabbaabbbacbccabccaccbabacbacacabcbabcacaaaaaacbabcbaccccaaacaacabaccbbbacccaccaaccaabbacbabcbbaabaccbbbbbaabbcbbaccacccbbabbaaccbcacbccaaaaacaaacababababcbcacbbcbcbcbbccbacacbcbbcbbaacaccabbbacaacabbccbbbccbccaabcccaaccaaababbcababbabcbcbacabbbabbbcbccaaabcbbbcbcccbcbabcaaaacbccaaaaccbcbbcbcaabbbbbaabbbbbaacacaccababaaaabcabcaacbbaabacabbbcbbbaabbaabbaaacaccabacccaacbbaabbaaabbbcacbabbbaaabcbcbaacbacaacbabaaccaabccbbccabcaaaabbabbbabbcaaabbcccbbcacccccccabccbccbabbabcbcacbbaabcbbaaaacaccbbabccabcbaccbccacbaccaababacaaabcbaabacbabcaacabcacbbaccbcbbabacbaaacaaaaaabbaaacccccaaacaccbacbacaccccacbcccbbaaaaaaaccbbcaacaabaacbaacabbcacbabcbbabbcbbbbaaccbbcacaacacaacacbabbbbacacbbcacacabacbbcabcaccbcaabcabcccccbbcbacccbbaaababbcbcbccabbbbabcacabcbbbaaabacabbbcaabacbacacbabacaaccbccbcbababaccbacbacacaabbaababcccacccabcaabaaabbbccaacacbabaababbbbcbbaccacacbabcaabcaccaaaabbbcccacbabcaacccababbacabbacaccaaacabccacaacaccbaccacbbcabbbabaccccaccaccccccacbbaccabbcbcbabbbabcaaabbaacbbcbbaaaababbbcccacbcabacbcbbcbcaccbcabccaccacaabcccbaccabbcaaaacbaacbcbacbbaaabaacbbaaabacbbaccbcacbcacbabbaccabcbbccbcaacccbabbcbbccabcaaacacacbbbcbaaacccbbbbabcaaabcccbacbcbccacaccaccabaaaaabaabaacbbaccacbabbccbcaccacbaaaaccabcbcacaabbacacabcbacbaacabbabbcacbabbababacaaccabbbccbabbbcccbcabbbcaaababcaacbabbcabccccbbaacbbccccabcccccbaccbaabcacabbacbccbccbbccccccbacbbabcbbaccbaabacaaccbcabbacbcbbacababaaabcbcacbaaccaaaacbaccbabbbcabaaacbcbaacacccacaabbaccabaaccbcbbbcbbaabbabbaabcbaccbbaaaaaacaaababaaaccbbbbbcabaccaccacaccbacaaaababcbcccbcacbbcbcbabcacccabacabcaaabccabcbcbabbbcabbbaababaccbbaacbccbbcacbcbcbcabacbbacabcccbcaacbccabaaaabacabaabacabaaaaacccbcbcbcbccbabcbbacbaacbacacbaacccacbbbcacbbbaaacaacbbaacbaabbabbbaccaabcabbcbabbacabccbbcbcbcbabaccccaaccaccabbacbcacaaabbbbbacaaabcccabccbbacabaabbcaaacbbbbabbacbbacccccabbabcbcbcbcaccacbabcccbcaacacccbabcbccbcbabbabcbaacabcabbacbaabcbbacbabbcbaccaacabcacbacbccaacaaaacbbabbaaccbaabbccbbaaabcaacbcccabcaacaabcabcbbabcbcacbbbaaabccbbbccabbcbaacbcbbaccaacaaaccbbbaaaccacccbaccabacabbabbbbacbbbccabccaabccaababacaccaacabbbbaaacabbcaaaccbbabcbcacacccaaccabcccbbcaaaabaaaaccaababcabcbcaccabbacbacbcbbacaccbbccccbccccacabccbbbbacccbacacbbccacacaaaabccbbabccbbcaacababacccaccacabccbabcbcbbccbcbababcabcaacbacbacccbacccbcbccbbbbaaccbccbbbacccbabcacbaaccbcbaaaaabbaaabbacbbabcaaaabaaaacacbccbaacaabacccbbaccbccabccabccacaacbbbbabccccaacccbaaaaaaacbcbcabbcaaccccbbcccabcccacaacbbcbbbacbbabacbcaabbaaacbabbcaaacbacccabaccaccacacacaccbbabbcbbbaaabbbacababbcabbcbbaabbbcaaaaabaabaaacbaaccbaababcccbaabbbbacbbcbaccacbabaacaacbbabcbccbccbcbbcabccccbbabbbbbcaaccbaabccccbbcaccccccaaaacaaaaaabbccbbabbbcaacaaacaabcbbcbcbaaabcbbaccbbbcbbcbaccacbcccaacbbbbbcbbccbbbbcbabbbabaccaaaccacacaacabacbcbaabccabbbbaacbccacbbbaaaccbabccabcabacbacbbbaccbbbcbcccccccacccbbbbccaabbaabcbaacabacccaaaacbbbcbbbbabccbbccaaccababbaabbcbaaacbaaccacaaaaacabaaaaaabbcacbcbbbbaaababbcabcabbcbbbaabbabacbaccbbcacaacbccaaaacacbbacaacbbaaaccacbaabbcccacbbccaaacaccabbaaccbaabcabaaabbaaababbcacccbccbaacaabccaacccacbcaaaccabbaaaaaccacabbabcbccacacbaabaabaccbaabbcacacbccbccaccccccabcacbcaabaaccaaccbcacacbaababcaaaaabcacacacbacacbbbcbbbacaaccabcacbcbaabbabbbaaaabcacabbcbacbcabacbaaacaabcaacabaacaaccaacabcacabacabbccccabacaccacabbbcacabacccbbccabcacabccaacacabbaacacbabcbbbaccaccbcabcaaaaccabbacacccccbccccccabbacabcccbabababaacbccbbbacccaacaaabaabbbabccbbbbbbcabaacbbcababcabbaaacbbbbccacbaacbacbbacccabcaccbbbacaabaccacbbacbbbbcbbbcaabbbccbccbccbbbcaacabaccaaabacbabaccaabcaaaaabbabacbbaaaaaacbbaacabaaabacaaaacaabcacacbcbacbccbbacbbbbcabbcababacbcccccabccacacbbbbcaccbbacbbcbbaabbaacccaccaccbbbbcabbbccbcbaacbabbaabbaacacbcaaabbcacbbcbabcbbabcacbaccbcabbabbcbaacbbbbabababcaabccabbcbbbacbbaccbaccbcccacaaacaacaccbbcbabccbcacccaccbcaacaabccaccbacbcccaccbcccaababcbcbabbbbababcacbbbcaabccbbcbbbbbaaababbcaccaacacabaabccaacbbacabccaaaaacbaaacbcccacbacccbcbcaccaacaccccabbcaaacccaccbbcbccacbbcccabbbcbcaacbccccacbbcaccbabcacccbccbabaacaababacaacabcacacaaaacbcaacccaccaccbbcababbbccbcbbcbbcbacbccabaaabcbcababaacabacaaacbccccbbcbacbccaaabbbcccabababbbbcaccbbcccabccbcccacabcccccacbcbccabcbcabcaabbacbaaccbaabaaabbabbcaabbcbbacccbbabcbcacaaaaaaabcacbbbbcbcbacaacccbcbacbaccaaccabcbacbbaabcacaabaccccbcccabccbccbcbbcccacaccccaacbabbcbacabcbbcacbbabbaabbbbccccabcabcbbacaaabcacabaccbaaabaabccbbbaccaccbcbacacbacababcbcbcccbbcacaccabbacbaaccabcbacbacccaaaaacbabccbccaabbcacbcbaccbacbccbbbbabccbaabaaababbbabaacccabacaaaccbcbababcacbccbbabacbbababbccbcaacabacccccabbaacaccacbcabbbbcaaccabbcccabbbacaabccbcccaccabbabbccaaabbcbccccccabcbbaccabababababaabccbbcbbabbbccbccabacbccbbabcbabababbbcbacccccacabbbbbbaacbaaabbbbbcbccaacaacccbacababcaabccabccacabbacccbbacaaccaccbabbbacbabaacbaacbbbbccccbcaabacbbccbcbacacbaaccbcbbabbcabacacccbcccccbcaabcbcabababbbcaacbcaccacccbccbbcbcccacccccccabbbacaacccaacbbabcccccabccacbcbabaacbababbccabcaccabaacccbbbccacccacaacabbbcbbcabcccbccccbaabcccbaaabbcccacacacbbbbacbbacbabcbbbbbcbbaabaabbbcaabacbcabcabcaaaacbccccbbbcbaacbbaccbbbbacabbabcbbbccbbaccccabaabcbaabbbbbbbcaacabccbbcbabaabbcbbcbaaccbbcbbbccbbabbbcbcbcbabcbcabacbbbacccabcbbbaacbccacaaabbaacbccababaababcccaaababccbccbabaabacbabbaaaaaaaacbbacbbbabcbbacaababbacaacbcbaacaaaabacbaccaacbcccaabcbcaaacaabcabaacabacabacacbbcbcbaaaaacccbbcacabccbcbccaaabbccbaaaaaabcacaababbccbbccaccabccabcbbabbbbcaabcabaaaabbacccccccaaaaccbcaccccabcaacbbcbacccbabaaaccaacaaccccabbcbbbbbbbacaccaaccbcbbccbbcbcaabcbbbcbcbcaababcabccccacaaacabcacbcbbabcacccaccbccccbacabbaaabbbcaaccccabacbaacabaabbacbacbacaaacaabccbcababacacbbccbababaaacbacbabacabcccacbccccccaaacbbccbacaacbcaacabbcccacbbaaabcccaccbcacbcbbbbacbaabbbaaabbaaaaccacaacbaacaaaccbabbcaababbbacbacbcbbbccacbaccccbabacccaaaaacbcbbcaaaabaccbcaacbbbbbababcbacacbcaaacbcbbccbcacccacacbcbcccbcaccccabcccabccbacacbacbcaacaabcbbacbbbacacacbbbcaaaaabbcacababacccacacabbacbbccabcabaacbacccbccbabaabacabccabbbabbbacaacbbbcbcbbcbbcabcccbbabacaacbbbbbcaccbbcbcaaaaccccccbaabbababbccbabaacccccbccbcaaacbbabaaaaccaccaccbabaacaaabbcabcbacabcaabbbabbbbbcabacccaaccabcabbcbccccbcacaabaabbcabccbaabbbacabbbbaacbcbabbacbcaccbbaaaccbcbaaaccbacbbaabccaaacbccabbccbabbbcbcbabcabbabaaaccbcbbbacaabbabbaabcbaccacbabbbacaaaaababbaabbacbcabacabccaccbcbbabbbbcacbbaacacabbabcbccabccabbbcbababbbaaccaababbbbbbcbaaaabbbcbaaccbacbacaaacbcbacaccabcaaaabccababbcccacbcccaababbbcbacabcaabbabaccbacbacabcacbcbbbbbccaacbbabbccbbbccacacbcccaababccabcacccbbabbcbccacccbbbbabcaaababbcbcbacacbabbcccbbacacccccccbcccbbabbbcacabbaccccbbcabccacacacabbbacaccbaaaabcacabbbcbcacaacbcabbababccbcbccccacacbbccaacaabcaabbbccacccbbbcbcccbababcababaaaabcacabbcbacaabccacabcaaaabbccbbbbbcccbbacaacbbaaaccaccbaccbccbcbaccccabcbccbbbcbbbcbbacbaabbabcaccabcacbaaaacbbaaccbabbcaabcaabbabbbcabcabbabbaaaababbcbbbbbaccbacccaabbaccababbbabcbbbaccaacbabcaaaabacbbaacbacabababbacbbbccabcabbcbbbabbacaaacabbbcbbabcbbaacaaabbbbbbcacbcbcccacccbcbcccabcacbcccaaccabbacbacacacbaabcbcaacacccbcbcacbaaabaacbaccaacccabbbcccbbbbccaacccaacbabbcbacbabbacbcaacbcccaabaaababcaaaaacaccccaacbcaabbcaaabbcabcccacaaaabcabaaaaaabbbaaaaacaaacccbaaaacbabbcbbcabbcacabbbcbacacbbacbabbccbbcbcbcacacbbacccbbabcbcbbbcbbbcbccbbabcbabccccacbabccacbaaaacbcbcabcbabcccacabccacabccccbabbbaaaabbbacbacaaabcacaabcaaabccbbcbbcbacbcbacababaaacbbbcaaabbbaabbcccbcbccbbabaaabccacbbbacabbbcbaabcabcabbaaabaabbaabccbccabaccbbaacabccbaaabcacacbacbabbabbabcbbaaccaccccaaacaacabcacbbbaaabbbcccbcbcaaccbaabbaaacaccbccaaabacacbcbccbacabcccccabbaaaaaacabbbacacbaacbcaccbbbcabacaaabaaaaaacbcbaccbabcaccccaccaabcababbbcccaaccbacbbcaabaccbbbbabbbaabcbcbccbccaaabaccbbaccccbabcbbacbbccbbcbcbababaaacaabacbbcaaabaaaaaccbbbcccccbcbcccbabccbcbcbbcaaacaabcbcaabacaaabbbcaaccaaccacccbbcabcbbbccabcabcccbbaaaacbccbbcbbbaaaaaccbcabbabbaacababaacbbcbabbbaaaacbcbcbaaccbababbbcacbacaacbabbaaccccaacbabaaaaabcbacababaacccabcbaaabcaacaabbbccbbbbcacbbabbabbcbbbbbbacbcabbacbcbcbbbbbcabbaababcbabcbaccbaaccacabbbbbcaaccbbabbacaacbacbaabcbbbbabbcabbbbaabbbcccbbacccccaaaacabcbaaabbcbcacabccaaabaaacbcbaaacabbbcabcbccacaabbbabccaabbaccbbaaabaacbbcbcbaacabbbbcababcabacabbccabcbbccccbbccabacbabbcaabbbbaaccccccaacaccabcabaaabbcbbabbabacabacaababaaaabbcbabcaaaaccccaabacbbabbcaaaacaaabbcbbcbcabaacbcbbccaccbabbaabbcacabbaccbccbbcbbaabcccbcaaabcbacaccbcbaacabaccbaccbbbbaaaccbaabcbbbaaccaabbccaababccabbcbcccabcbababcacaababbabaacbbbcaaccacaaabbcbabcbcabbabbacbaccacabbacaabccacbbbbaaccccabccbababcbaccbacbbaccbbcacaaacbaaccabbcccaacabbcabbcbaacbabcbaabababcaccbabbaacabcbaacaacbcacbcbaacabcccbbcbababacbcaccbababbbbaabcaccabcbacbacbcabccbccabcbcbbbabbbccbbbbcbbbcbcaccbccabaacbaacaccbabbbbbbcccccaaacbccaacacbcabcabababacbacbbabbcacbabcbcbaabcaacbccaccbbcacbabcbcabbbabbcacacbaabcbcbbabbcabcaabbcbbbacabbaaacbacabbbacbbabcbabbaacbbccbbaaaabbabbcbacbbacabcbcaabbcbcaababcbccbccbcacbbbcbaabcbbbacccaccaababbcaacbacabbaaabcccbcbacacbbaabaccbaaaccbaabcbaabacabccacaabbbcccaaccbabaccababaabbacacbccacbcacbccbacbaabbbcbcabcbbbcbaabaccbbaacabaabaaabaabcaabaaacabccccbcaaaaabcbcaabcabcabcccaccaabbccccaabbabbbcaabbbcacaaaccabaabcababccbcaaabbcaaaaccaaabbaaaaccabcacbcbabcbaaaaaaabcaaaaaabbbabbaabbaacaaccbabcbcbcacabcccacccaacbbacabcbcccbacbaabacaabbbacccaabbbbcbbabcacbbcabbccabaccbbaacccbababacaacbcacbbbbbaabacabbcbbacbcbccbcaaabbbacbabcaccaccacbabbcbbbbbbbabbcbaaacbabcacabccbbababacabacaabcaabbbababbacabbcaccbcccabcbbcaababcacbbbcaacbccbcbbcbabaabcaccacccbbcccabcacbbbbccacbcccaabcbbaaaabaccaaaaaabacaccaaaacbbaccbcaabbbbabcaabacacbbcbbbccaaabaccacbcbcacbcbcaaaaaaaccbacccbacacbaaaaacbabbbacacbcaabacacbccbbcccaaaaaaccacabbcacaabbcccccbacacbaabbabababccbbbcaaacacabacaabcccacbcbbcbbabbbcbabcbcbababcbcbcbcabbaacccbcaabaaabacbcbabcabcbbbbbbaaabcabcbaabbabcacbbbcaaaabbbaccbbbabcbcccabbbbbbbbacbcccbabcbccbacacbbccaaacabbaabcaacbacbaaaabcbcaabccacabcaaababbccbcbcccbbaacabacccabbbabbbbacccaacaabccccbbcbabacacaaababaaccbacbaabbccacccaabcaccccbcacbaabbabcababbaccaacaacabcabccbbbcababccccbaacaaabacaaabaaacababbbbbcbbbbbbbacabacabaaaccacbabbaaacabbbabcacbbbaccabccacabcbabccbcbbccacabccbaaabcabbbbabcabaaaaccabababccccacabbbbaacbbabbaaacaacbcbcacbcbcabbaaababaacabbccbbbbbacccbabaabbccccacbacbcabaccbcbbbcacacabaccccaccbbbccbcaabcaccabaababaacbcbccabbabcabacabaccbcbcbabaabbbacaacbcbbaacbbbcbbbbbbaaccaaabccaacacaccababbaacbbbaabcacaaabbcabbcabbccabbbcaccacbaabaaaccacbbbbccabccabacbbaacaabbcabcabcbcbccabbabccccacacbccbcabacacaacccacacbbcbccbcaccbacccaaaaaabbcbbaacbacccabccbbbaaaacabababcaabbbbaccccacabcabcbbcbacaabababaabcbacaaaaaaaccabaabcccacbacacaacbacbbccbacbaaaacbaaacabcbbcabbcaabbbaabbcbbabaccbabccccbccabbcaaabbbababccaaabcacccaccabcbcaccaccccabbabcacbacbacacbaaaabbcacabcabaacbaaacccccbbbcbabaaabcbbacaccbbbababbabbcccabcaaaabccbacabaabaacaacacbbbaabbbcbccbabacbbcacaaacaaacaabbbccacbaacbaacbaabbcabbaaabbacbaaaccbcabccbccccaabbcbcccaaaabbacbbcbcabcaaabcbcbabccbaccacccacbcbaacabcaacacbcbacbaaaccaccbabbbcbabcbbccccaaaacacacaaaccbaabcaacaccacbacaabccabbaabbcabcaacaaaabacbbbbaccbbacbabaaccabccacaabaaccbcaaaccaacaaabacbbbcbccbaccccbbbccbbcbacbabcbcccacaabcbbaabbcacbabbbcccbcacabacccccbcaaccabbcacccbaabbaccaacbccacbbaccacabcabcbcbbacaaaaccbbbbccbbabcccbbbccbabcabcbbbabbcbaccbcbbbaabcbbbcaccccbbcbaacccabccacababbacbacccbbabcbbabbccaaacbbbbacbbaabaabaaaaabaacaccbccbaabcccbbaccaabbbbcbbcccacbbacaacaabaccbabcbbccabcbabaacbabcbabbbaabbbcbbcaaabcabccaabcccbaacbccabccababacbcbbabbbcaaabbcaaabccaaacccccacccbaababbabbbcaabcbbcbbabbacbccaacbcaccbbccacabbbacbcababccbcacaababacabcbccacbcaccabbcabaaccccbbacbbcbbcabbbcacaababcacaccabbbacccbbaaabcbabccaaccbbcbacbacccbaabcacbcbcabacbaccacaaabccbbcbcaabaaabaaaacbcbaccccbaccccbacbcabacaaaaababbcbbbbcccbbccaacbbacaacbcbccacaaaaccbacaaacbccababaaccbaacaaabbcbcbbaccabcbbcbcacaaccacbbaaccabccbbaacababbbaababaabbcaaccaaacabcbbbbbabbbccaaaaabbbbaaacabacbcbbabaaaabaaaabbacbbbabaccbaacaacaacbabbababbacbcbacbcbaaccabbbabbaabbaccabaabcbcbbcacbbababbbbcacbbaacbcccaccbabbbaacbbbbaacabcaabbabbabccaaccaaaacaccbbabbacaacbbbbbbbaaaabbacaaaaaaaaacabaaccabbabcbaacbabababbbcbabcbacacacbcbabcbcbccabcabbcaccabacaabababcbabaccbccbaccacbaaacaaabbababbcbabccbbbacbcbabbabbbcaabcacababbacacbccbcbaccbaabaaacbcaaabbbacbcabbcbbcacccbcbabaccbbcbcaacbbbaacbcccabcccaabacbacbaacacbbbcaaabcabbccccabcbbcbabbcacabbbcbaccaacaccbbbabccabababbacbcbabcbabcbacbaaabcbbacbabcbccbbbbaabaccccbbcbccccaabaaabacaaacccaaacbbcbbcbabaccacbbaaaabbaaababcbcbccccbaacbaaaabcabcbcccaccbccbcabcbccbbbbcaabbbcbbbcccccabacacbaabacbbabbbbccbcabcccccaabbaacbbcccbcabacacaacccabcabcacccccbbbbcbcbcabacbbccbcabaacbcccbabaabacbabcabbbccbaccaacbacaccbacbbbbcbaaccbbccaccabacaaabccccbcbccabccbaccccacabaabcccaababaabccacbcaaaaccbcaccbbaabbcbacccabacaabccaaabccbcbbbbaabababacbaabcbaccbbcbcabcbccbccacacbbaababbacabaaacabcaaaaaccccaccbbbbcaccacbccbbbcaacaacccbaaabcabaacbbbbbcaabccaaabbccbcaaabbaacccccaccbabccabcbaabcbabcbcbbccccbcabbcbccababaccbccccccbaaccbccbabbcccbbbaaaabcccbcaacbaccaccabcbccacbbcabacbcbbaabaacaaaabbabbcbcbcacaabaabcbcacbbaacacbcbaccbabccaaccbbcbcbbbacbabaacbbbcccbcaaabbabacbbaabbaacaacbccaabbccabcacbaaccbacbccacccccbbbbcbcbbcaaabcbacbaabbccbbacbccbccabbabbabbccacbbacbaacbbbcabbabacbaacbababccbcaccbcbccbaabaccabcaabbabccbabaaccacbccaccacbbcaaaccbbbcabbbbbbabababacbbbbaabcbcaaaaaabaacaaaacbacbacbbaabbccbcbabaacaccacaccbcabbcccabaabbbbbacaaaaabccbaabcbabbbbcbbaacababbacabaacbbbaaaabbbcacacbcbbacabccbabaaabaaaaccbbbcbbcaccccabaccbabcaccbabbbccbaabaccbabbbbccabcabcacaacbacabaccbcccbbbcabcbcbccbcbbcabacccccacaabcaacbcbaabbacaabbacbcbcaacbabbbccbcbbbccbaacaabcccbbaacabacaccbbbacbccbbbaaabcabcbbabcbaabacbccbababacbabbbaacbcacaaaaccacaaccbaaccbabaacbaabcbabcabacbcbccbcbccbabccabbbccbbcacbcbbccbaaacbacbaabacbabbbacbccbbbcabbacccccaaacabbbccacaaaaccaaccabacaaababcaacaccaabacababccabbacaccabbccaaabbacaccccababaacbacbcabcccccacaccccabbcabaccbcacabbbcacabcbbcbcabccbccbababbbcaabacabccbbbabcbbbcbbcaabcaaccbaacbacaabbbcbaaacaccbaabaababbcbacabaabbbabbbccbabccbaabacaaaacabbbbccccbaccbacaacabccccbcbccacacbaccabbbbabcabbabbbaccbaaacabcaacccccccbabcbbbcbbabaabcaabbabacaacaccccaccbbbcbcabccbbcacabbbabcacabbbaacbbccacaaccbbbaccacabbbabbcaaccaacccbbbcbccacbbabbbcacbbccaabcbcbbabcaabaacccacbabcabcbbbcabbbaccababccaabbbaaaccacbccabcabbccabbabcacabbcbbaaacbccaaababbbbbccbbbabaabbbcabaacbaaccacbbaabbaacaccbbbcacaacaacbcbaacbcaabcbcbcbccccbbabababaabbaabaabcabaabbcccbbbacccbbccabbbccbcaabacbbbbbcacabbacbbbaaabbbbcacbbaaaaaabaccbbcbababccbcbcbabbabaccbcccbbaabacaaaabbacabcccaaccbcccbacbbbcbbacacacabbabbbccbbcbccccaacaabccbcacbaabbabcaaaaacabbcabbcabccccabababbccccccbbbccbabbccaacbaacacacababaaacbaacbcaabccaccabcbbbbcacaacccababaccaaccaacabaaacaabcabaccbccbbabcbaaaabccbbaacabcbbcbaaababcacaccaaccbcbacbbbcabbccbcaccccbcbbbaabbbabbcacacccabacaacacabbbccbaccaacbcbcabccaacbcabbaabaabbbbbcccbcabcbcaabcccaacbbcbbbaacbacabbbbababbccbaccccaabacbbcbabcbcabaacacbabbcabbbcbcbcaabbaabbabccacaacccbcabbcaccbcacbbbbcacbaacbccbabccbbbabccacbabcbabcabacaaabacccbbaaaacaccccbacabcbcccacbcccaabbcbabbbcccaabaccabababbcacacbcbaccbaaccbbaabacbaaccabbcabbaaabaaaabaabbacacbbcbcccabccacbcabccbaaacbcbaaaabccbbbccbbbbcaaccbaaabbcabcabbaababccaacacbcbbabacbacbacabbabacabaaccccbaabccbbbbacaabbccaaacaacacbcbcbbcabcbcaccabacbbbbbaabbcabababbabbcacccbaaccaccacbccaacbcbaccccabcbbbacbaaccbcacaabbccbaaaaacbbccacacbbacaccccbaacabbaabbbbbccaacbccccaababcacabbbcbacababacbbaaacaababccbcccccacacccbbbcbaacbbabacacabbccbccbcabaaabcaabccbacaacbcbbbabccccabbcbacaabbcbcbbabcabcccaaaabccbaccaaabcacbbbabcbcacabccabcbcaccbccbccaacaaccccbaabaabbcbcbcccbacbaccbcaccaaaccaccbaacbcabaaabbaabbbacccaaaaccbbbabacaacbaacabcbcabbbbccbcbbaaabcbbcbcabcabaabbcbbabbabbbbbbcbaccabbbbccabbbcbcccbccccaaccbacacbccabbcbacaaccccbcaccbaabcbaccbccabcabcccbbcbacccbacbcaabbcabaacbbcbababaccbccaccbbcccbbbccbcbbababbacabcaccbbaccbcbaaccbbcbbcbacbaccabccaaccbcacaacbaccacbbabcaacbaabbbbbcbbbbcbbccccacbaababbcaacacbbbccbcaaaaccaccbccbccacccabcccabbaaaaaaaabaccabbabacbcaaaabaaaabbaabcbacacacbaabcccbcabbccbaaabacabaabcbaaabbababcbcbbbacbcbacbcbbbbcbaaabbaaccababcbbbacabccbcaaabbaccbccbccbaccaaaabbcccbbacbbaacaccaabcccacacabbccaaacbcaccbcbacaaabcccbabbbbbaaacaacacaaacabcbbcbababbabcabcbabaacabbcccbaabacacaaaabcacaacccbbacaabaccacccaabbccbcbaacaacbcccacacbacaaabaaababccabbbacbcbaccbbbcbaacaabacaabcaaccababacacbaaccacbcccabbbbcbcbbcbccabcbcaacbcaacaaabaacaacccbccbcbccbbbabacbaacbacbbaaababbaabccbacaaabccabbbaabcbccccbabaabcbbccbbcaacbaacbaacacbcbcaaabbcabababbcaaacacbcbcabacabccbaaabccacbbcbcbabbababbbcbcabcaaacabcbaacbbaccbcbcaabbbaccbbcaaacccaacaaaacccaabbccbbcacabacbacbbbabbccacaabbcabcabcbbcbaaccbaabbbbacbbcacccaabbccbacabcacacaabaaccaacaacacabbaaacbabbaacbaaabcbcabbabbaacbbbaabcabcaaaabbbbabbbbbabaccabbcaabbcbacccaccaaaaaacbacccaaaabcabbaacacaaaabacbccbccaaaabbccaabccacaabbbccbbcacbaccbcccaaacccbbbbccabbabccababacbcacaacbaacbabbccbccbacbabababaccbabaaaccaacccbabaccbcbbbbcbcccbbabcbabbacbababaaccccbacbbcbbcccbaccbcabcbacbaaacabacbbbbaaabbaabccccccabcabaaababcaacbcaacccccccbbaabaabcabaaaabbbcacaccacaccbacbacbaacbcacbaaccacbccabbbcacbbccacaabaabcabbaccbbbcccbabaaabbaacaaaccbbbabcacbbbaabacccccabbcccaacccaacbbabaccbcbabbaaabbcaccabcbcabccacbccbaabcbaabcabacbccbcccabccaacbcacbaaaabbcbabaabaaacaaaaabaaaabccbbcbcbbbabbabacbaaacabacaaccaabcabacbbaacccbbaacbababbacacaabcbbbabcbbbcabcaccbabccababcbcaccacbcbabcbcbccaacbacbaccbcababaacccaccabccbccaacabaccbaaccbbcaccbbbacaabbbaabcbacccaacacaaacbccbbcbabbbaababaacaabaabccaabaacabacbbccaccaccaabbccccccacaccccbcbbbccbcabcccbbbbaccbaaacbcbaaabcbbacaaabbbbbcbaabbccbaaacabaabccbcbccbbbccabbcabbbbbbabbbcabacbacababcbccaaaaacccacbccacccbabbbacaacaaabbabbbabacacccababcaccabbcaacbbccbcabbbbbbbacbcabbcccaaacaacbbcbaaaaabbcbbcbabbbcaacaaacabbbbbabbbaabcbcaabbbcbaaaabccacbccbacaaabcacbbcbbacbbccaccaaaccacababbaabacbaccbbbacacbbccbacccbaccbbccacacbcaabbaccbbacaabcabbccacabcccabcccbabbbbccbcaacbbbbbababaaaccaaabababbacccaaabbbaccaaaabcbbcabcbccabbbaccbbacaccccacababacbccccabbaacbaacaaccbbcbabbabbbcabbccbcaaababbccbccaacccccbacabbababcbccacbaaccaacaaabccbccbcbbcbccbbbcacacacbbacbbcababbbbcaabbcaccbabbccbccbabbacbaacbbaaccccbcacacbcbcbcacaccacbaccabbabababccbcbcbbaaaaabccbbbabccbaaabbabcaacccaccbbaaacccbbcaaaabbcbbcbcaacaacccabcaaacabbabaccabcbabbbccaaacbacaacaccccaacabcbaaccbbaacaabcabbabcbcabcbbcccaabcbbbbacaccabbcbaabbcbbcaccbccbacbccbacbcacacbccaccabcbcbbcbbcbacbcbcbabbcabacacbacaacabaaacccababbccbabbccaabcbccaccabcabbcbaccbbaaaabcbcccbabccababbabacaaacacbcabccbccababbabbbbccbbabaaacbbaacbbcabcbbbaaaabbbaaaaaccbabacaaaabcabacbbbcbccacbcabccabaaabacbbbcaccacacbbabbabacaabacacbabcabccbcccccaabaabcbcabacacabccbaccacbbcaccccaababacccbacacbababcacccbbbcbbccccccaaabaabacbaabbacabcbccbaaccaacaaaacababbcbacaabbabacbbcacabaaaacbabcbcbabccccaacabcabaacaacaaaccbaabbcbcbcabcccbbcbccacacbccbcbbbaccabbaccbbabbcababbbbacabacaabcaabcabccbaccccbabaccbacabcabacbbbbcaacaabcbbcbcbaaccabcaacccbaababbaabacaccacaccbaabbcbaccaacbcbbabaacabbabcabaabbbaaccbccbbbaacbcccbbbbababaabccbbbacbcccabbaababcacbccbcbaaaabaccbaaaabccbaabcccaacacabcacbcabcbabaabbccaaaababbabaacaabccabbacbcbaabcaaacccbcbcbccacccccababaabcabaaabbcbaacaabbbcaccbcacaccccabccbaccaaccbbcacbcbcabbbcacaacccacaccaacabbaabcbcaccbbcbbbcbbbcbaabbbcbbcccccbcccccaabaabcbaccccccaaabaaacbabcbcbccabbcbbabbbcaaaabbcacbcacacabbccbaccaacccbbbcaacccbcbcccccacbabbbcaaacbccccccabbccbabaaacabacbccaccccaccabccaabababcbabcacbbacbccbccbcaacbbbccccaaabccccccbacbbbbababcbcaabbcbacaccccaabcccbacbbabcaabbaaccccccaccbbabaabbaabaacaaaccaaaacabbabbccbbcbbabcbcabababacbbcccccaccccccbababbbacabbcccaaabbbacacbcbbbcabbacabaaaaabcbaaaaacbabbbcacccbcabbcccabbabcaabbaccacccbaaaaccbbccacacbcaccbbabbcaacbcccacbbbababcabbccaaabbcabbbbcbacaacbbcbaacacaacababbcbbcacbcaababacaaaaaabbcbaabcaabbbccaabbbcacaacbbaaabbbaabccabccbcbacaccacccbaabcaaabcaaacccbcbcaaabccacbcbcaaacbbbbbabccbabbcccbbbcabbcbcabcccbcbcbbbbbacabcccbcababbbbbbabbabcaaaaaaaabbaccbaacaacacaccabbcccabcccaaaccaabbacabaaacbacbaacccbbabacbcabcaaabaacbcccaabcaabbbaccaaabbccaabbaabacbbcccaabbcbabbbbacaaacabcacababaaccbabcbbbbcbababbacababcaaaaccbcbccacbbabcabbbabacabcaabcaccccbaccbbbbbbbcbcacbbcccaaacbccacccaabcccaccccaaabccacaacaabccabbbabccabcaacaaaacccbcaabbabbbcabbbbacaacbaccababcbcbcbacaabcacbccccababacabcbccbbaabcabcbcbccaabccaacaabbbcacbcbccbccccacabcbbccabaabccccaccacaacccbacbaaacbaababbcbacccacbbbacacbbbcabbcbabcaabbabcccbbcccccaababbbaaaaabcaaacbbccbbbccacbbbccbabacbacaaaabcabaacaccccbbabccacaaccccaaaabcaaaacaaacaccaabbaaacaaacaacaaaaacacccbaabcacbcbbbbbaacacaaaaabcccaaacabaabcbccaaccbccbaabaabaaaababababaaccaacaaaccabbacaacbbbcbbcbcabaacccbabbccabcbcbbabbabcccabccccacaacbaacbababaabcbbbcbabcaababbcabcaabcaacbcabbcbaabbacabaabaccaacccabcabacbcaabaaabcbacbbcbcaaaabcabccbabcbccabacbbabbccbcbaabcbaccbabbbaabbcabcaaaacacccbcaccaccccbbabaaccbbccacaabaccbcbbacacbbacaaaccccbcabbaabcbaacbbbabbacccacbcbababccababcaabcccbbbaacabbaacbcbbbacbbbcabaaacbcbcbabaccbaccbcccaacbbbabbacacbbababcaacccabbaaacacaaabaacacabccabccbcabbabbcbabcabbabccaaacbbbcabaabcabcbbacaabaababbcabbabaababbcabcbcacaacaaccbccacaabbabbaabccbabbcbccbbbcaabababccbbacccccbbbbccbcacccabbcbbcababaaaabbbbccbacbccabcabccabcaabcbccbbbbacbbcbbacbbbcbccacbabbacacacabcbcabcbccacccccbcabbacbacccbabcacaabbbbccbbbbaacbcacbbbabbbacbaacbcbbaaabccaaccbcbccabaabcaabbbcaaaacabbbcaababbcaaaacbabcbccbacbccbccbccaabbaccccabbacbabbbabcaaccccaacbcbccccacaabbcacacccbcbccccccbbaabbbabbcccabbabbacbcbccbcaacaabcaabacbaaccaabcacaccaabacacbbbbaabbccbaaabccbcccaccbaccaccbaabbccbacaababcababbbbaabaabaacbbbcaacbbccbbaaccbbbacaabcaaacbcbaabcbbaacabbabaacbcaaabbccacabcbbcbabccaaaabcabbcbbacbcaacaaabbabbcaaccbbcabaababcabababacabcacbacccbbbaccccbbcccbcacacbcabcaaaacbbccabaabaabcbbcaababbbacbcaaabcccbbbcaccbbbaaacbbccaccacaaccccbccaabbacbaacaababcaccaabcccaabbbbbbaaccbaaaabccacbabbccacbbbbcabbbbcbcacbbcbaacaacabccaccacbcabbacaacabacbbcaababaccbbccababccbaccbaccccaabcbcbcaccbbcabaabbcccbaaaccbabbbccbacbcaaccacaccbcbcaacabacbaccccacabbabcbabaacbccaccbcaabbbbacbbacaababacccbbacbbcababcbabcbacaacbabccababcabbbcccccbbaccaccbccbbaaccaabaacbaccaabbbaacbcabccaacbccbaabccaabbaabaccabcabababbccabbccbbbacbbcbbbbabcbbbbabccaaacbbaaccabbababccccbbbcccabbbaccbcaccaaaaccaacbbbcaabbcacabbccacccbbbbaabcbaccbcaabcaaababbaaabbbbacbccababbaabbaabbbbaaabbaacaccababcbccacbcaacbcbacbabcbcbcabcaccccbbaacabbcbbabccaccbccaccbbabaacabccccabcccacbbbcbbcbbbcacacabcaaaacbbbcaaabcaaaabbccccccbaaabccacccccaccbbbbaaabacacacacacccbccbbababcbcbbbbcbaababbbacaaacbabcbbbaabcaaacbcbbacbaacccaccccabacaccabcaabcaccacaabcbcbabbbbbbbbbacbacbacacbccacaabbcacbccccbaacbccccabccbabbbbaaccaabbaacccbbcabacacababbccaabababacbbcaabcabcabaacbacbaacbacacccaaacaaaaacbaccbabbaacaacaacbaabacaaabbcaaaccbaccbaababbcbcaacaacbabacaabbbaaaaaacaccbabbacbabcbbacababbccaaaccbaabcbabcbccbaacbcacacbbaaccabcbababcacbcccbcbabbbcabacbaacacacbacbcccccbcaaccaaaccaaaaccccccaaccbbbcbacccabbacccaacabcbabbaacccbcabacaccbaaabbbbaabbbbcbbacbccbabcbcbbaababbaabbacaaabbcbaaacccbcaccccbcbccaccbcaabbbaaabbababbcbcccbcabaaacbcabccacccacaacaccaabbcaacaabaacaabacccaacaccabbcbbacbabbbbbabccabbbccbbbbaaabbcaacaaccaaacccbababcbccbbcbbabaabacbcacaacbbbacccaaccbcbccaabccabbccabcbacbbbcbccbacaacccacacabcbabbbbccbabacccaacababccbbbccaaaacbaabccaabaabacbcacccbbbacccacbcabcbbaabbaacbbabbabbcaacbabbbbaabacbbccccccabccbacacacacaabbbabbccbbbbaacacccbbcbbbaaabbaacccabbacbbcbcbaccabcaccbbaccaababbacbbcbbcacccbbbbaaabbabcbbbbaacbacbcababcbcaccbccabbbabbacbaaacbccaccbacaaaabbacbbbccccccccaccabacccabbcbaabbbaacabbaccbbaaacccbccaccaaccabcbcacaabbbbbaaabaccbbbbabcccccccbccbcaaaaaacaccacaaabcbaccacabccabaccaacbcabbbaccbbccbbcccbbbcbcabbacacaacbcbaabaaccacaacabbbcabcacaabcbbabbaabcaaabbcbbabcacbbaccbccabcabcbbabcaaacabcbaabacbcabaccacacbccbcacacacabcaaccccbcbacaabcbccaccabbaabaaabbabaccccbbbbabacaccbbabcbbaaabccaabaabbccabcbccbbcaaccbacaccbabbcacabccccacccbabcbaaababbccbcbcbbacabbabccbbccbcbaaaaccabacbbabcaabcaacabaabbcaaaabcbaccbccbbaabababbcccaacabccacacbaaaabbcaaabcbcacabacabcccbbbaccaacbaaaaaaabccaaaaaaacccbacabbabbcacbaaacacbcbaacccbaabbaabacbbcbcbccbbabaaabcacabbbbabacabbaabbccbabbbcabccaabaabbaaabaabcbaababccabbaacbbbbacccbcabbacaccaababaabbbccbabbbbcabbbacacabccccacbaacccabacbcbbaccccaabcaacccabcababccacaccacbcabbbbbcaabbbabaccacbaaaacaaaacaababcabcbcbcabbbacbccbabcabcaccccaabacabbaaabcabcccaabbaacbbbbbbacbaaabbacababacccccbcbccaaaccaabcabcbcbbbccabccbccaaabbaaabbbaabcbcbcccacacbbbccbbababcaacbabbbcbcabbcbcaabbbcbcabcbbbabaccccbcaaabccbbacaaabcccbabcbbbbbcccbabbcaaaacbcacabccbbabcccacbccccccabbcacbaacbcbbbcbbbacbcbacaccbabaaabbaacbabbaacaaaccabbbcabcbbccccbbacaaaaaabbccbcaacbcbcaacabababcccbcbbaaabacabacbacabccbacbbcccbcccbabaacbbccabaccababbbbabaaaccaacaccabccccacabbaabacbbbcbbbbbabbaacabbbcccaabbcbbaccbccbacbbabaacbbbbabbcaabccbbabbabbbbacbcaccccaacbbaaababcacbcbcaccaaabbababbaccacbbcabacbbababbaaabbacbccabbccbbcababcbacacccacabacababaaaaabbcbcbbaacbcacbcbbabaababcbbbaacacbcacccbabbbaabacaccacabccacbaacbbcbabbbcacccbccbababbbbacaacaaacbccbccabababbabccacccbcccccabbbaccaaacaababacbaababbcbabaaabcbabacabbcacababbbacbcbccababcccbbccaacaccbccabcaabacccbcccbbbbcbbcbcccbcabbbcaacacbccaccaababcbccbcbbbabbcacabbbabbabccbcccbaabbcbcabcaccabbabcbabcbcbbbabbbbbbbcccbaacaabbaccbaaaacbbacacbbcccbbcbaaaacacaaacaabcbabbcabbbabcbbaaaccbacaaaacabbbbcabbbcabbaaccbcabacacbcaaabbabcbbbccacababcbccaaababbabacbcbacbcaccacbbccbcbcccccbbccbaacaccabacbcaabaccccabbbbcbbacbcacabcccacabccbbbaababcbcabcaacaabbaacbbaacabbcacccbacacbbacbabbacbbacbacbbabcbccbcbbbacbaccccbbbaccccaacccaaaaacbbaaacabbabacaacabbacabbcacacabaaabbbaacaacaaccaabbbabcabcaccccacbcccbabbbccbacabcbaaccaabbbaaaaccaacccbbccbbcaccaaccbbbacbbaabcbabcaaabcacaabaabbabaacaacaaaaabaaccbabaaaabbaabccbaaabccccaccaabaacbccbcababacccaccabccbcbabbcaacacbabbaabbabbbbcbbbccbabaccccccabbacbcbabcbaccacbacacaabcabaabacaacbbccabccaccbbccaaaabbbcaaccaacaaaaccccaabcaacacbaabccacabcbbaaabbbcababbcabbabcaabacbcacbacbccbccbaaabababbabcabccbbbcccbcaaacbbaababbcaacabccaaacaaacbbabbcbcacbacabccbccbbccbccccccacabccbaabaaabaaccacabcbbbcbbcbcbacbcbcbbbbbbaabcbaaabbcbbbbabacbcccbcabccaccacabcbacbcbcbbbbccabaaababaabccbbbbbaaccccbbcacaabacbaccacbbbacbbabbcbbccbbababbcbcccaaccabaabbcbaababcbaabcbcabababccacbbaabcccbbacaabaabaccbbaaccccaacbaacbccabcbbbbcbcbbbbcabacaabacaaaaccaccaaabcbbccbbaccbcccbbabcbccaabcbbbacccacbbabaabbacbcccacbbcabcaaacaacbaabcaccbcaccabaacaaccabbaaaccaccaaaacbcabbaabcabbcacbabbaaccbaaabbcbcbabacbccccacabbbbacacbbaacaaabccbbcbbababacaccccbbabbbbcaccaabaaccbcaabacbccaabccabaaaaaacbcccacbcccbacccabcccbabcacaacbabbabcbcbccaabbbabbaccbabbacbbacababcaaabcbabbbcacbbcaabaacaababcaaccbabaabbacacbcccbcacaaacbabccabcbcbbcabbcacaacccbbcaaaccabcaababccababcccaaaaccccacbaaaabcccaccaabbccaaabbbacacaaccaccbaacbbabcbaacccbcbbcaacbbcbacccbcccbbbcccccbbbcaabbbbccacbabbcabbbbaaabbbcbabacbabaababacabbabaaabbaacacacbbaaaacccbcbcccaacbababbaabcaaaacbbcaaaacaaabbcbcacababbcbcbacaccbbcacbacacbaabccacaabbabcaccacaaacacbabbbaacbaaacbabacbacbcabcccbbcccbbbccbbbcbccbbacaacbabcbbbcabcabcccbacacabaacbcabcaccacabacbaacccacbaaabcabcacbcccabccacaacccacbcbcbbacccabccbbcbcbccaabcaccbcaccaccaaacacccbcbbccbaabaaaabccacbccbbbcaabaaaaaabccabbaabcabcacabbcccbcccbcabbbaacacaacaaaaaccccaccbbbcacaccaabcbcbaccbacbacbaccccbcacbbabaaabcababbbbaccaacbabbcbabaaccaaababaacacbacbbabccbacbbcbcbccabcacaabbbcbbcccbabcacababbaaccbaaccbbcabbcbcbbcbbbababacabaccbccccbabcbacaabbabbbcabcaaaccbabbccccabcaacaaacacbccbbbcbabbcccbacaaacbaccbbbabcccbabcbbbbccabaaccbcababcbacbaabbacaccabaacbacbbacacbbbbabcaccbbccbcabbbacbcbacccacbbbcccbbbbbbbbbcbcaabbaacacbcbbabccccbcaaccaccacaabcaccaccccbacbaaacccbabcbaccccaccabaacbaacabbcccabcbbcccccccaccbabbcacccaabcabbcaacbbccacabccacacabcbbbbacbaaaacbcccbbcaacabcbbcabbbbccabbabaaccaccacbaacbbcaacaaaccabcbabbaaabbacbaacabbcaccbcabbcbcaaacccbcccaccbcaaaccccabbbbacabcaacbccbaabaccaabaabbbcbbbabcaacaaababbacccbababbaccbbbbcacacacccbbbbacbccacbbbbabcaccbcabcbbacbabcccaacccbbbbacabcbcbccbccabcccbbbabbbcabaccccaaaaacbccacaacbabacbaabababaabacbaccccaccaaacaaccaacaaaccbbbaabcacaaaccacacabaacbccaabcbcbacaaacacbcbcaababbbbbaaccabacbbaaaacbbacacbacbccaaabcacccbaabccbbccbccaabcbacbbccbacacababcaccbcbabaccbbacbababacbbccbacaacabbbcaaacbcbcccaaaccbcaabacbbbababaaacbbbcbbababaaccbcaaaacccbccbbabbcaaabaccabaacacbbccbbabcccacbcccbcbbcbccbabaccacaaccccbaaabbccbccbcccaacccaaaabbabcacbbcbacabccaaaaacacaccccaaabcbbabaababaaabbabbaabbacacbaacabbcbcabcaaaccaaabcbacacabacbaacacbcbabababbabcaacbcbcbbaacacacaababbcbbcbbbbccabccbabbbccaacaaacccccbbbabcbbcaacaacccbacaacababacacbcaabbbbcccaaacaabaabaccacabbbaacacbabbccbaacbbcbccbacbaccbacbccacbabcbccbccabcbbccacabacbcabbbabbaacccabcaaaaabbacabccbabcacacacbabbbaababaacbbabbbaabacccbccbbbcbaccccabbabaccccacabacaacaaaaacabbbabccacbaccbaaaccbcacaabaccabbbabcaabcbbccbacaabbcbbabacacaababccccaaccabcccbacbbbcaccbbabbaccacabcacbabbbabbbcacccbacbbcccaaacccbaabaabbcabbabaaacbabcaaccacbabbccccaaccbcccababaccbaababccbcbcaaacbbcbacbcbbabcaccaaaccbccccaaaabbaccbcabbbbbbcbcabbbacbcbbabcbcaaaccaababbaacabccabcccbbaccccccabacabacbbcaaaaacbacbbcacabbbbbbacbabaccaaacaacabcbbabcbbaacaababcbccbcbaaacacbcaabbcaacbabcabaaccabcccccacbbbbbbcbacbcbabbcbacbacaaabaccacabaccbababaabacbbcabacacacccbbbcbaacbbaaaaabaabaacaacbbcbaaacaabcccccccbacacbcbabacaaccacbaccccbbaabbabcababbcaccaaccaacabaaccbbbccacbccaabcbcbabbccccaabbbbccbcbccbbcabccccacbcbaaabacacbabcaaccbacacabacbbcababcbbccccaccbcbabccacbcbacbbbbbabbcbbcaacccbccbbaaaaacabbbabbbaccaaabcbabcbbbbbbabcbcacbaabababbbcbccacbacccaaabbcabababacbbbbcbcacccbbaaccccccbbcbccbcbaaababcbcbcccabbaaccabbaaabbbababbbbaaacbbbaccbacaabacacbbacbcaccacbcccbcbbcacccbbabbbaabcbbbbcbbcabcabbcaaaacbacabcbaaaaaabcacaaccaaccbbcbbccbababacbabacbbacaaaccbaccccbccbbcabcabaaaabcacbbacaaccacbcaacaababcacaaaababcbababbcabbbaaabbbccbcabbaaabcbccbaaacccbbaaaaacbababbbabacbbaccbbbcacbcabcaabcaacbaabaabacabacbcacbbbccaaaaaabcbcaccbaaaabcbababcacbabbbbacaccaaaabbbabbabcbcbaabccabbcabaabcbccbbaaccabbaaabbabbabbccaabccbcababccbbbbbbabaababaacbabcabbbbcbbaabcbbaccbaaaacbabacbbbaabcbbbbaabbbbabbbbcababbaaccacacabccbccbbacaabbcaaccaabaaaaccaabbaaccbbbaacccccbccbbcbcccbcccbbaccbacaacaaacacbbccbbaccaaaacabcbababcbaccacaccbccaabcbcbccbabcaaabbbbcabcaccbbbbabacbacabbbccbaabcabababbbaccbacbcacaaabaacbbabacacacbbabcabcabcacaacaaacacaabbcbacabccbbbbbcbabbcbabaacaacbccbcacbcacbacbbacaabcbbacccccccbabcaacabcaccabcbbbccccaababacccbbbbcbbbbacbccacacaccbaabaacbcabaacccabaccbabcbaccabbbbbccbacbaabaababcbbabbacabaaabbcaabacbcabababbacabcabbccaabbabccbabcaaacbcaacacbcaacccbcccbbbaaabccabcbcccaaccaacacccabbcaacbbaaacacccaabacbaaacbcbacabcbcaaccacccbbccaababacbbccaaacaabbccaaabbacbaaccbcccccccbbcccacbaabacaaabcacabaabbcbcbccabcccccacbbcaaaabbbbacbbccbacabbaaabbacbaaccaabaababaacccbcaccaababccbcbccbbbcccaaaababbbababcabbabcbcbabcabbabbacabccacabaaaabaabbcccaacccaacaccabcbacccbababccacacaaabaaaaabcccaabbaacccaccaacbbcbabcacbcababccacacababbabcacabcaabcccccababcaabcbaccaabaaaabaabccbbbcabcccbccabbaaacccacbccacaaaccaccbcccbcabcaccbbbbbcacbcaaaacaccaabcccacacacabbaacbbacabbaabcacccabbcbaacaacbcbcaaaccaabacaabcacaaabcbbccabcacacacabbcccbcbbcbbbbbbababacbcacacabaaccaacaacacabccbbaaabcaccaacbccbabbaabccbacaaabcbccacbcbbbabababccaabccacbabbccaaabbaaaacbccbabaccabacbaccbaccccabbcbbbabcbcacabacaabbaacabcbbbbbcbacccaccacbcacccacacbababcbbcbbcaaabcaabcababccacbbcaaaaabccccacccaaaaaacbbacbcbccbcbbcabacccbcbcaabbacacbbbaccbaccacbccbbabaccbcccccaaaabccacbacabcbbcccbbabcbcbabcaaccaaccaccccbacbcbcbabcaacbbaaacccbbaaaaaaaababacbbbacaacabbcccccabbabaccccaacbacbaabbcaaacacacaaaaabacbccabcabcacbabbbacccbcacbcbaaccaaccbbbabbacaacbabcabbabbbbabbbbababccbbbcbaacababcabccbacbabcccabacabacbcbbccccacbaabcccbbbbbccbacccabbcbbcccaacabbbccbbbaccbcbabcaabaaccbcbcbaacccabccaacbcbabaccabcbabcbcbbaabbccacabacacacbcbbcbabcccbbaccbbccaaacbcbbbcaabccaaccccccabccccabbabcaacbcbabbabbaaaabbabcacccacacbbcabbabcaaaacbbbacccacaccccbaacbcccbccabcbccbbccbacacabacccaaabbbbcbaccababcccbaccabbabccbccaacbbbccbabcbbbbcaabbabbaacabbbcaaccccbcbaccbcacaacacacbaabcaccbcaacaacbcbbacccbaacaababcaacbaccccbaabccbbbcbaacacaacbabbcaabbaaccbaaaaaccaaabbbcccbccbcbaabccbbaababccabbabaababccccccbbcccbaaaccacbbbbbaabcbaccacccaccaabcbaaacccaacabcabacccacbaccbabbaaabcaabcbbbaaabbaabcccabcbabbaaabcabaacabbcbaaabbaacaccabacbcccbbbccacacbabcabbccbaaaabbbacccbabbbabcacaaccaababacbcacaccabcacacacbcbcaacbabccaabacbcbcaacbbbccbbcbbbbcabbaabcbbccccbcabcabbaabcacabbacaccabcccabcbbccbacbabccbbccbbaaacccbcabcabacbbaacbaaacacacbabccbbbbacbaacbbacbcabccbaaabbbabccbbbcbcabcbcbacbcccbcbccccaaccabcbcbcbbcccbcbccaaccabacbacaabccbbbbbacacbabbbaacbcbcabbbabaccbabacbbccaaacaaabcaabccabbabcbcbcbbaccbbcaaabcccbbbacccacacbcaabababaacbccaccccbbabcbbccbcccbcbbbbabbacccbabbcaaccabaaabcaabacabccbacabcabababcacabbccabbabbbaacbabcacbaacaacbaaaaccabaccacacabaaccbcbccccbcacbbbbaaccbaaaaaaabaabbbbccbccbcaccabaabaccabcacbaaabbccbaacbbbcbbaacbbacbcabbcbccaccacacbcacacbcaabcccbacacaacacbaccbcccaacbabacbbccbacaccbbccacbcaaaaacabbbbababcacacabbaacaabcbbacaccaacbccbccacbcaacaacabbccabaacbbbcacabaaacbacaaaaaacbbbbbaabcbabacccbabcbaacaabccbbbbbbbbcaaabbcbaacbbcabbabccaabcbcabbbacbbcacacbabbbaacbbabbbcbaaaaabcabbcaaaabcaaaabcbcacbcacbbbabbbcbaacbcccbbcbbaaccaaaacbcbccbacccaaacbcbacbabacaaaabcacbcbcabcccbcbbcacccbababcaabbccaaacaaacabcaccbbbbccabcccaccbbacaabaccaacccaacaacaaabacaccbcbcaacaabacaabaabacaabbacbcaaaabbcbabccccacbabcccacbcccbbbabacbcbaabcacbcaaccccccabacaaaacbcaacacaabcbaacababcccabbbbacccbaaccacccaaaaaaccbabcacaccccabbaccacbbacbbaaacaaaabbabbbabbabbabcbbcbaaaaabbcabbbbbabcbbbacaabbcbbcacbcbaaababbbbbcbcacacbccbaacabbbbabcaabccccaabaaabbbbcacbaaccbcbbaccbccacbabcbbccabbbcccbaccbcaacaabbaabbcbbcbacccbaabcbbcccabacbabaabbbaaccbaabbbbaaaacbaacaacacaabbababacabbcccaacccabcbacbabbabcbccbbbaaabacccccacbbbcbcaabbbcbabbaaccaacccaabacaccabccabaaaabbbaacaaacacbacababcaccbaacaabbabccbcabacbcacbbababbabbabcccbccbaaacaabaacbabccccbbcbccbbbcccbabcbabcacbcacbbaacbabacaaabbcacbbcabcbbbaacacaaaaaaabaaaaccaabbaccabbaabcaaaaaabcccbbabbbaabcabcbbababbabbbababcaabcacccbbccacbaccccabbaabcbccabccbcabbaccacccacaccbaaccbacaccbcbbaccabacaacbcbaababaacbacbbcaccaccbcabcabacacbcaccacaaaaaacacababacabcbaabbcbbcbbbbacaabccaaabcbaababacaacbabbbccabcaabaccbabcbbaabcababbacabbaaabaacccccbbaccaaabccaabbcbaaccbaacbcbccbacbabccabcabbbccbbbbcacbccbcababbbbbbaabcbcbcbccbacaabaabacbbccccbabacccacacbaacbbbabbcbcbbcbbcabaacbacccbaabaaacbaacccbbaccacabbabaccaccacaaacaccaabbcccaaaccaaabbaccbaacbaacabbcbcaabcccbbacbaabcbccaccaabaaabbcccbcabbccacabbbbcacbababcacbcccabbbaaaabcbcccaccacaabbacacaabcaaabcbbccbcbaaacbabacacaccacabbacccabcababcbbbbababbaaccaccbbbaccbcbbccbcabaccabacacbcbbbabacbbabbcbbacababcbbacbaabacbcaabaaccacabcccccbcbaaaccbccbbccccacacccbcccbcaccabbcaaaabbaacccccbccccbbccacbbacabcbbccabaacbccaababccbabbabbcbbcccbbcacaccaabccccaabbaaababaacbcbbbaaabaaabcacaaacacacbacbbccabccaaacbaacbabcabbcabccbccbbaacccaabbaaaaaaccbcbcbccccccccabbbcbcbcccccbacbababacacccabcccacaaaccbbbbcabbcaaabbaaacbcabaaacccccabbacbaaaaaccabbcbabbabbcacaabbabaaaccababbbbbbabaabbbbcbacbcabacbcccaabbbcccacbbaaabbaacbbbaaacbcaccbcbcabbbbcbbcabccacaabcacbacbacaccbaabcccbabbbbcaaaccacbbccabbcbbacbcbcababcaacbaccaacccacaaabbbacbccaacbcabccbaacbcaabbabbbccaaabaaacaccbbbaabbcbcbabcacaaabbbbbbbaaccbbacbcabbcaccaccacacbabaaabacacbaaccbabbababbabaacbaacbababcbcabaababbcbcbaaabbbbcbcccacabcbabababbccbcaabacbccabbabbcaccbcabbababbaacaccabababaaccbcbcacccaaaaaaaaabbccaccbaaacacacaabcacbbbbbbacccbbacabaabcaacbcacbbaaccbacaabbabcaabaaaccbaaabbbbbbabaacbcaaabbbacbbacbcbaabbacabcbaccbbbccabcbabbcacbbbccacabacbcbccbcbbccabbcbcabacbcbbbacaaacbabccccbcaacbcaccbaacbcabcaaccbcabcbababcccccccaaacbcacccbbbabacacbbcbacbabaccbbbcaccabbcabcaaacbcbacabccccbbbbaaabcbabaaccbcabbcaabcaaaaccacbccbccabcabcccbbcbccbacabbabbacacaaabccbabcbcccbbcbcaacbbcacaabbabcbacccbbaabbcbbbabacacbcbacbbbaaaaaacccbbbbbabbaccbabaacacabbbbcabacccabaccaccbcbacbbaaabccbcabbcccababaacaabcbbbabcbbbacbccbbbabbabbaccabbabcbcccabbccabaacaabccbbccbcacccbbabbbacbcababccaccaacaacbccacacaacbbcbababacccbabbcaabaabcccbbaccbacbabbbbababbcbbbbcbbacbabaccbccabaabacbacbcbacaacabcacccaccaccbbbabcaacbaccbbabbcbbbcaaccccababacbbabbbaabbccbccccccbbcbcbacbacbaaacbcaaaaaabacbcabbbabaabbbbbaccacccbbccaccacbaaacbcabbbcbbbacabcaaaaabcbbaaccabaaccbcccbbaababbaabbbccbbbbabbcccbabaabbbaaacababccccaaacabacccbbcbcaacacbcbcaabbabaaaacbacccacbaacabbbbbccbbacacbcaccbbcbcabbaccabaacbcaababcaaccacbbaccababbcbbbabccbbbccbaacbabbcbabbbacaaaabccacacaacaabcbabbaabbbabacaabaacbacbacaabacbacbababccbccaccabcbbaabccaabcbaacbabcccbccbcababaaccbcaccbbbcaccccbbbccababbccaacbacccacaaabaaacbbaabccacccbccabcbbccaccccbbcbcacbababbaccbcbaaaccccbbcabbbcacaccbcacccccccaaabbbbbcabcbcaabcbaabacccaabbbbcbbbcacbacabaacbcacababccbbaabcccbccaabcbcacbbbaacbbcaaabbbbbaccbaaccabcaacacbbcacacbbabaccbcabbccaccaccaabcacaaabbbabcabbbccbabcccbaccaabcabcbbcbbaaccbbcbbacbcabcacccabccbaccaaccccbbacabababbcccaaccbccabbaccabbabcbaabccbaacaccacabbcbbccbccbabbacbacbbbbacbbcbbabaccbcbcacacbbccabacccccabcbcbbbccccabbcccacbcababcccbbccabbbbcacacbaabcabababcacaaacabbabcbaaaaaacbcacccbacacbbcccabcacbacbbacccaccbabccacccbcbaaaabbbbcaabbacccabccbcaabbcbbaaabcaaaabcaacbcaccbabaaccbcccbccbcbabccbbcbbacabcaaccbcccaaaaccaccaabcaaabbcbabbbabcbbaacbbbbbcabcabaabaababbcbcbcabaacabacbcbcabbbacbcbbcacabbaacbcbacacacccbcbcaacacacbcbbaaccbccccbcbcccbcaacccbabacbabcabcccbbaabcaacccaabcbabbbbcabbcbbabccacbcaaabaaaacacccbbcbcccacacbabbbaacccaabbccaacbbaabcbcaccabbbababcbacbbcabcaabbccbaacabbccccbcbbaacbbacabacabaaaabbaaabcaabccbccbabcbcbcbbbbcbcbaabbacacaabbbcaccabccbbbcccabbcbabcbabbaaabccbabbabcbbbbacbbacabbbabcbcbacbcbabcaabbbbabbcbbbabcbbaaaacbabbccbbbccaabbabbcbccccbabbccccbbabcaabbcaaaaaccabcaabbcbbacaabcacbbabcaacbcaaaaabaaaabbcccbabbcacbbacaaacbbcbababbcccccbaccaabbccababbcaaacbbbccacbabbcbcccccbacccacbcbccccbaaabbbbababccbcbbabcbcbcbcacbcacaccaabbcbbbbbccababcbaabbcccabaccababbbcabcccbcccbcacacabbaccccabcaaabacbabccbbaaaccbcabcbacacabbcbbbcccabbcbbbcbcccbbacccaaababcbababbabcbcaacaabcaabaccabbabccbacaaaababccabcccaaaccbbccabaabcaaacbaccbacbaaababbcccbbbbcbacbbbaabacbacababbcbaacbcaaaabccabaacbacbaaabaabccbbbacacbcabbbcccacababbbbbabacaacbacacacbcabaccaabbaacaccaabbccaaccabbbbbabcababacbbababbcccbabcaababcbbbcbbcbcaabaabcaccbcbacbbbccaaabbacacaaccaccababbaabcbbccabbbccccabbcacbaaacbcabaaaaabbccccabbbaccacccacbcbaccbaabcbabbaacacacbccccbbccbbccbbbccbccccabbbccbbcbcbbcabbabaaaaccbabccaacccaccbbcabcaacbaacbcbbcbcacbacaaccaaccaaaccaaccbbabbbabcaaaacacbbcbcaccbacabbcaabbaabbbbccbabbacbaabaaabbbbccbaaabcaabcaaababbbaaabcaabbabaacbaccbbbaaabcbbaaacacbcaaaacabbcbcbbacabbabacccaccbcbaccbbabbbaacccbaabbacbaabccacbcbaabccabbbcbcbcbabcaaccabbabaabbbbcbcccaccaccbcacabcbbacbabcacccbbccaaacbaaacbbcccabbbbbaabcacccaabbccaabbbcbcbaabbbaababbabbcacacabbcccacccababbcbbcaaccccaacaaabbabaacbcababcacccbabcacbcbcaabccccaabaacbcccabacabcabcbacbababccbaacacaccccbabccaacabaaabcaccbbcacabacccacbabbaaaacaabacccabbbcabbccabbbabbcbbaabcccabacbbcbcbccbbabaaaabbaaacaaacbaaaaccbbacbcbccaccaaacbcabccbcbbbcacbcbacbccbcbbacbcbcaaabbccbcbacbbababbbbacccaabcbbaccacabacbacbcaaacaaccbccabcaababcbcabacbcacacbbabbacbaaabaaccacbbaacbacbbbccabcbabaccacbacbccaacabbcaaaabaacbacaccaaacbcaababbcccbccbbacbaaabbcbaccbabccbcbbaabbcabcaaacbcbccababcabcaaacabaccacccacacaabcabbcbbacbbbccbabcabaabbaaacccbcbabcbcbbacabcbacbaccababbbbbbcbaaacacacbaabbbaccbccccccacacccaccaabacaabbbcbabacbbbcbbbcaabbcbaaababcbabcccaabcaabbbcbbabbbacaabaccccacabacabbcbcaaaaaabaaacacbabcccbaaaaabcbbbcbcbaacbbccbaacbbbcccccbcbbccababbbaababbccbacacbbccbcbcbbabcaaabccbbcaaabccababbccabacbcacbcaaacccccbccabbabcbcaabcbaccccacabcababbabaababcacbbaaababcabbbbbbcbabbcbccbcaabbacccbbccababacacabbcccaaacaabbbbacbccbabcaaaacaabaabbccbabbbcabcaaabcaccbaabbbbbcbbabbccccccabbacbcbacccccbbabbbbbaabacbaaccbaccaaacababbcabcbcaacbcccaccbaaccaaaacbaaabcaabcacaabccacaaaacabacbaabcccabaababccbaabcbabacabccacbbcaacbbccbbbacbbcccbbcacbcbbbccbaaabbabccababcaacccaabcbccbbaabaaabbaccbbcccaacababbacbbbabbbbaccbbcbaaaabbcbcbacacbabcaccbccbcbbbcaacaccbcabccbacccaaabbcccacbacacbabaabbbcbcacbcbbcacabaccbcaacccbaabaaabbcbabaabacaabcabcabcacbcaacccbbaaccbcaababbccaaacccbbacccbcbbbccbacbbbcaccaccbbcacacabbcccaaaccacbbccacaacbabbbcbabcaccaabbacbabaababaacabbaacbcaaacaccccabcccacbbabbabbcabbbcbbbcababacbacbbcbbcacbbaccbaaaaaaacbacacabbcacbbcbccbbcccbbcbbacabbacccccabbaaaaabaccabbacccccabacabccaabcbccabccaaabcacccacbbaaaaacacaacababbccbcbbbacabaccababcacbbcabaaccccabbbcaaababbabaaaabcbaabccbaacaaaabcabacbccaacabcbabcaabacbaaabbcaaabcccabcaabbcbcbaaacacbccaacbcabbabcbbcacbbabbcbbbaacbcbccbbcccbcbbbbacbbcbbacaaaccaacacabbacababacaccbcbbacbcabbcabaacbccacbcbbbaccccccaabcaaabccacbcbcabbbccbcbaccaabcabcaaacabcbbcbabbababcbcaaabcbbbbbbbacbcbbbcaccaabaababbabccaaabbbacbacbbbacbcbbbbacbabcaabbcbbcccbccaabaaaccbabbacbbabcaacbbcbcaaacaacabbbbabcbbaccbccabccbcbaacbbaacaacbbcabbcaccaaccababcaacababaaaabcbabbabcababacaccbbcccaaacbabacbcccaaccccbbcacccabcabbcbacacacabcbbacabbcabcccacabcababacbbbabaaabccacbbcbacacbbaabcbcbbaacacaaacabacacccaccacacaabbbaaaacbaccababcacbaabacbcbcbbbbbbabbcabbcabaccbcbcbcaabacabcbabaccbcccbcbcbbabcbabbcbbabaabbbabbbcccaaccabbabbcabbcabaabbcbbacbaaabaabccbcbccbaacbacccaaccabbcbcbcccacbbaaabababccabbbbccacccaaabbbbacaabaaabaaabbbccacbbcaaaabcacbccaacacbbbcaacaaabaabcabccbcbbbcacabcbccccabacbbcabcbabbaabcbcacacccacbccacbaacaabccbbacababcbacbabbabccabccbabcbbabcbcaabababaabbcbcabbbacbbcacbcbaaccbccbcbccbcbccbbbbaabcacbbcabbccbbcbbbbaaacaacbcaccabcaaabbccbcaaaaabacbccccbabbaccacbbaaaabcbcccabbacabbcbcaccbbccbacbcbaacbcacabbabbbbacbabcbaccacbbbabcacbaaabcbabbccbabababcbacabbabccbcabcbcbababacacbabcccccbbbaacbcbbabacccacabbbacaababbabbabaccbabbcbaababacacabcccabaccaaabbbcaacaaabcaabaacbabcacabccaabbacbbcbbaaaaababbbcacccabcacacbaaacabaccabaccbbaaaccbccbacbbcbbbcacacaaacccbabbbacccbcbabbcbccccbbccacbbaccabacbbaabbccaabcabbbabaababbccaabbccbbabaaabacccccccbbbcbcabccbcbabccbaacbbbbaacbbccccbcabaccbcbbaaaccacaaabcacabcaacacbabcacccbbcabbbabcabbabcbaabbbbbbcbabbacbccacbbcabaabbabbaacaaacabcbcbbbcaaabccabcaabaabababccaaacccaaccaacbcaabbcabaacbccbbcccaccbaabbbbccbccccbabababbcbacabcbbaaabcbcbacccababccaaabbcbbbabbcbbcacabbcccbbbcacbacacaaacbbbbbbcbcacabacccbbacabaacbbacbccacbcabbcbbbbbbbbccccaaaacbccccabbcbabaaaabaaacaaacaacacbababaaaacccaabcaacaaacbcbcaabbaabaaccbccbabbacabccbacbbccccbbbbbcbcbabcababcbbacbaacccbbcbcccbaacaabcabaaaabbabbcabcbabbbccacacaabccacbbbacabaaaaccaaaacabaabacabcbaabbacabbcabababbccccccbbbaabacccbcabaccbacaccbcacbcbcbcbccabacbcbbcbccbacbacaabbbaaacacaccacbbaabaabcaabacbbccbaccbaccabcbccbaabaabaaabbcaacbcbaaacccbbcabccccaabccbcabaaaabacbccccbccaccccbcbccabcacacabbbbcabbbccbccbccbcbacbbabcbcabbbcbbabcbbcbbacbbcbccaaacbcabbbbaccccacbbabccbabccbcacccccbcabcbaccbcbaaccabcbbabaaaaabbcabaaaabccaccabacccacabbbcbbcbcbaacbacaccbbbbacbbbabacaccababbbbbcbaacbabbaacbaccbaaacabaaacaacabaccbbccbabccacabacaaaccacbbccbcbaaaaacbababbccbcacacacccaaaabbbbabbccabbaaccababcccbaccaabcabaaabccccaabbbabbabbbbbbbbacbbaaacbacacabbacacbcccbacacabbccbaabaaabaaaccbaaaaaccbaaccacabccacbcbccabbccbccbaaaccbaabcaaaccaacbcaaabcabccaacacbbcaaacbabbcaaacbacccabbcacccaaacaabaaabbbabacbabbcabbcabbaacabbbaabcbccccaaccbbcbbbcaabcababacaabcacccaaabcccacaaaccacbbcbcbaaacabaacbbbbcbaabbaabbaabaaababaacacbbbbaccccabbabaacacccbaacaccbbabbcacaccaabbcaccaacaacabbacacbcccaccacabbbcabccaccaabababbacacbbcabacbcccccaaaabaaabcccbcbbcbbbaacbbbcbbbbcbbbccccabaabcaabcbbabcbbcabaaccabbcacbabaaabbaabaaccbbcbbbbaababcccacacbbcaabaabbccbccbacbaaaaacbcbacbabbcacbbccbacbbbcccaacacacbcbccbaccaccbabbbccbbbaacbabaaabbbbabccabcaacababbbcccabbcccccccaabaabccbcccabacbbbacccacacaabcbcccbbbbbbbbabacaacaabcabcbaacabcbaacaacaaccacbabbcbacbcaabbacbcabcacbcbabbbcbabbccbcbaabaabcbabbcbaaabaabbbcbbccbcbacbccbbbbaaacacbcabcabaccbcabcbabababbbbbccabbabbacbacaabbabaccaaaaaacbcbccabbacbabacbbaccabcbabbbbabbcbaacacbcabcaacbbbcbcccbcbccccccbbcababbcbacbbbaacbcacaaccaacacaabbcbcbbcbacabbbaabcccaaaabcbaacccbcccccacbabaacbcbacccabbaccbabaabccbabccbbcabcacccaabcbbccababaabbcbcbbaccbcbaacbaacbaccabaabbbcbbbaacccacacbbcccbbcbacbccbabbcacbccaababaacacabccacbacacbcbbcbaccabaaaacbcababbccaacabbacbbbbcbccaabcbbbbbcbaaabccbbbaaccaababbbcccacacaaacbcaacabbaccaccbabccbccacbccaaccbbcaacaccbbbabacaacabbcaaaaccbcaacacabbbaacacbacbacaccccacbccaacabaaabbbbbbaaccacbcbcabbbcacbcbbacaccccaabaccacacabbcbacabaabababbccbbabaaacaaccabaaacaacaaccbaababaccbcbaabaabbbccbcbbbcacabbccccbbacccabbbbccaacaccbabcbabcabaaabaaabccababbbbaacbbbacccaacccbaacaabcabbbcbbacaaaabcaaabacabcbccabaababcabbcbbcbbbacbbabbbaabbbcbccbbbabccabcacaacbabbaaaaaacabcbacccabbbcbacaaaccbaabbbbcacabbacabcbabbcccaabacaccccaacbaaabbababcaacaababccccbabbbbbbbbcbaabbccbbcbbccbacbabaaabbbccaccabacacbaaaabbcabaccaacbababbbaaccbaaaccccbbabbbcacbaabbabbaabccccabaccbbaacacbbbaaabcaaacacacaabbcaaccbacabcacaabaabbababbaacabacacaaababcbbbccaaacabbababbacacaaccbaaaaababbacbaaccaacabcbaccccacacbccaaccbaacccacbaaccbcabacccbcbababbabbaaaccacabbabcaccccbaabababbcbccbbccccaabbababbbbaaaacccabbaabcccacaabbabbccbaaabcaabaabbbccccaaccacabacbaacacaaabcaaaacaacbcaaccababaaabbaababaccccaabbbaababbcabacccbcacbbcbbbbbccabaaabcccbbcabbbbacaacbcaaabccbcaaaaccbbacacacbaccbbabcaaabcaabacbbcbabccbaccaccbbaabcbbbaaaacaaccaaaacbcccabcabccbcaccacbaabcacaaacccbbaabbbccbbaaaacbcacbaaabbacacaaacbcaaccabccbbbccccabbaababbacbaccabacaccbcaabccabbabbbacaaacbbacbbccacabaccababccbabbacacccaaacbabcbbbcaabcbacacaacaaacbbaacaabbcbcbbcbacacbccaacabbaabcbbbccbababaaaacaaabcacabbaacabacbbbababcbaaccccccaccacbbaccaabaaacacbbbccbccabacbbccabcbbcbcaaabbacaaabbabbbbcaaaabcabbcbaccbcaaacbacabacbaabababbaabaabcbccaacbbcbccbaabccbbbcbaabaaacaaabccaccacacbcabbaacaccacccbccbbbabbabcbcbbcccbcbcabacacbacbbacccacaacbaacaacbbbaaccaccbbbccacacacbbccbacaabbbababaacacabcaacaaaaacbcabbacabaacabcbbbbabccaaabcabbbaaaaababbccbbcaabcbacbacbcaaabbbccacbcccabaacbcacaaccabcccaccbacbccbbcacaaabbabbaaaccaccabcbacbccabccccbbaacbacbcbbbabbabbbbcaccabaacabbacabcbaaabccbabcccbcacbcbabaacababaacccbaabcacbbcabaccaaacaccbbbbabbabbabacbacacccbbcbaabaccabaaacbabcbcbbabbcbbbbbbcaaaaaccbaccacaaabaababcbacbabbaccacabbcbaacbbcccccaabccacccccbabbaacccbbabbbabacbabbacaabbaacbbcacaaccbaaabbbbbacaaababbcccbabccbbcbacaccccabaabbaccabccccbcbcbbbcbbbaacabbacaabcbcabcaccbbaccaaacccbccaababbbacbaccbbabacacaccabcbabcbbabbcabcaaaaabbacbabccabccabccccabbbccbbaababcbbcacaaabbbcacbcabbcccacabbbbacacbcbbbacccaaaccabaabccbccccbbacaabbaacabbbaabbcabcbaabbacacbcaacbacbcaccbccccabcbbccbaaacaccbabccaaacaacaaaaabccbcabbccbaabbbcbcaacabccbabbbccbcccabbbbbbccbbbbacacacaacababbabbbccbbaaabbaccbcabcaababcaaabcabbcbaaabcccbbacbbcaaabaaacaaacabaacacccbccbcbccaacbaacbbabbabacacccbcaaabbaccacaabccababcbabcacccabbaaaabcbbaccaabaaccbabbbbbcababbcccbcbbcbccabcbccbccaacabbcbcabbccaccabcacbcacabaabcbcabbcbcabbabbccbcccabbccbaacbabbbccccabbcbbbcbacccabbbacabcabcabcacaaaaabaabcbbabababaaccbaaababaaabcbbabccbccbcbccccabccaacbccbbbabbccbcbcbbccacccabbabcbbbcaccacbcaabbcbcccaaaabababcaccacabcabcccbacbaabcccacacccccbcaccbaababaaabcaccccbacaaccaacbacaabbabcaccccabbbbbcacacaccabbcaabbacbaaabaccabbabaabcbbacbbbcccacccbccbccacbbbcbbcbaccaacacbabccacccbabacaaaccaacbbbacabaccbccbaaaabbcbbaccabababcbbcbccccbcbcbaaabccccaabbaccaaacbcbaccabccaaabbcbbacbacbcbcacacabcbaacbcbccbbabbaabbaabaaabbcccaabcbbaacccaaabbcccccacbbcccabaccbcbbabcbaacccbaaccbababcababcbcbaabacbcbaaaaccbaabbccbcbcccaabbccacbbaaaccabcccabccccbaacaacaccbacbcabcbbbcaabcccccbbaacaccabccbaaccbccacbaaaacbccaabcacbccbcbbabacbcbcbbbaccbccbbabababbcaccabccabbbababccbacbcaaabbacaaccaabcabbbbaccbcbaaabbacbbcabbccabbccbbbabcbcbbcacbabbbaabcbcbabbbaaaabaabbcaabccbbbbcbcacbaccbabcabaaaacbabcabbcccbbabbbccababbcaaaabacacaabbcbabaaccbaabcabaaccacbabbbbcaaaaabbabbbabbbcbabaacccbcacbbabcacaaaabbacbccbbbcaaccccacbbbacbcaccbacacaabacabcbbccabbacbaabaacabbbcbbcbbcbcabbabcabcbccbaabbacbaabbabbcbccbcbcbcbabbaccaaccaaaabcbbaaaaaaccbcbbcaccacaccbacccbcabccaaaabaaaaacbaacaacbbcababbbacbacbcacacaababcbaacabbbaccbbbbcaaccaabacaccababbbcccbabaababbbbcaaabbabaaacaaaaaccacbcccbbbcbabaaccccbbabbbbbccaaacccbcacbccaccbcccabcbcbbacbcbaacabacbbcacabccabcccbcaccccaabcabbccbacacbcbbbbcabbaacbbaaaabcbbbcaaaabcbbbcaacbbaaccaababaacabcacaaacacacbabbbccbbbcbbbbbccccaaccacbbccaccbbbccccbabbabccacbbbbabccbaaaaabbbbabbbbabaaabcacaaababbcabbbcbbbacacccbccbbcbcccbabbacbbbaacbababcaaccaaaacaaabbacaaccbbaabccbaababcabcaccaacbcbcbbbaaaccababbabaccababccacbcbaacabaaaabaaacabbcacbaaabaaababccabbbbacaccccbaaaabacaccaacabcccbbcabccbcbbaabcbbbbaabcbbcaccbabbabbbbaacacacbaccbacabcccacbacccbcbbaabaacbcaaaabbcccbcaacccababcccbcccacbbabbbcabccaaabbabcbabccbcabacacacbbaaacbaabbccccacbbbcbcbcbbccaccaabaccabaccbacccabacbbaabcacbaaaccbabacacbbacaabacaccababccbaaabbbcbcccbcbcaacbacbaccaacbacaabccabcabaabacaabaabbbcabcbaaacacbbabaabcbcbcaaccaacbbcbaaaacabbcccccbbbababcbbcaabaabbaabaababacaabbabbacaacaacbbbbcbaabbabcacbbbaaacbcabbbcccbcbbcaccccbcabaaaabbaabbcabbbbaacccbbbbaccccbaacbbbbcacaccbbbbcbabccaacaabaccabcacbaacbbabcbbbcbcacccbacaacbaabaabbcbcabaababaccccccbbcaabaaacababacaabcacabcacbacaabbacabcaccacacacbcacccbccbbcabcbacbbaccccbaacbcbcaccbababcacbbccabbaaabbbacbcacbcbcaabbcbcbcbbbcbbcabacccbbcabbccaacccababacbaaccaabaacabccccabbaccccccbaccacaccaaaababbbbacacbcabbcabccbbbbbcbaacbacaacacbccbabbcbbcacbbabcbabcbccaccabcbbabcaaacaccbcabaabccbabbacbacbbabaaaaccccccabacaacabbacbcbbbbccccacabaabbacbbababaccabbbabbcacaaacbbcacabccbabacabbbbabcbcacaabbcbacbbcbbacbcaabbbbbbcbcccccccacbbbbbaaccacabcbacabcbcbcacaacbacaccaccbabcbbcbcbabbabaacaacaababbaaccabbacbcbcbccccccbcbccbaabaabccbcabaabcbccbbacbacabbcaabbbcbabcbcaabbcbcbcbaacbaabcbacacaaabbccbabccbbbaaabbaccabcccbcbbccabbbcacbabacacbccbacbcacbbcccacabbabbacacccbcacccbcbbacaaaaacbbbbbbcbbbabaaaaaaccbcbabbabacbccacbaccaaabcbccccccbcccbcacabbcbabbcccbacbcabccabaacaabbccbbabacaabcaacbcbbccbbbaacccbacbcbbbcaaaaaabbbabacbaccccaaacabacbbbbccaaaaacbcacccacabcaaaccbcacbcbbbccabbcaacaacbcccbbacabbacaacbaabbccaacbbaaccbbabbaaacbaabbabaabbbbccbbbaabbcacbacaacababcbbcbbaabacabccbbaccacabcbabacbcbbacbaacccacbcbabcaabcbbacbcbcbccbaaccbbabbbbbccbccacababacbabbaabccacccbabbacbbccabacbcaabaaabbabcbbcbacccacacabcccbcaacacaacaaacaabbccabcaabccacaaabbabbcbbaacacaabaccaccaabcccaabcbbaaaaccbbbbacacaacbabbabcccbaabbcbcbacbaabbbcccaabbbbcacccbacbbcbcaabbbabaaaacbacacbcbccccccacbcccababbaaccbcaabaacccbccbaacccabaaabcbbbacbbcbbaacbaabcbbcaabcbccbabbaacabcacaccbcabbaaabaabccabbcabcbaabccbcbbabaccccbcabacbbcbbcacabaacbacaabccbbbaabcacacbaaacacaccbcababcaacccccaabcacbccacccbbbcacbabaaccbababbbaabbccabbabccccbbaabaaaaaaccaabcbcaacbaccaccabacacabcaacbaccccacabaabbaaacbcbcccbacbbaacbbabaacbaacabccbcaccbbaababccbbcaaaaccbaacbacbbabcacbbabcccbccccacbbacabbacccbbcbbccbaacbaacaccbbaccbacbaccccacccbabaccaabbaaacabbcbaacbbaaaabcaccaccacaccaacccabbbabcbabcbacabcabcaaacaccbaacbaaacccbcabcbbbcaabaccccbbaabababaaabbabbaaacbabbbcbabcbaccbbaccbcabccbbbbaaabcaabbbabbaaaabacbbacbaccaabcacaaaacaaaacbaaaccbacbbcbbcaabacbcbbbaccacbaccbcabcabaabcaabcbcbabbcaacccbaaacbaabcaabbcabbabcaacbaabbbbbccccabaccbbacbcccbaaaacbacaacbbaccccaababbbbbbbbcbbcabbacaabcacbbaccbcbcaccacbbbcbabbccbabcaaabcabbccbaaaaccbccaaaccacbcbccbabbbcacbaabcacaacbbaaabbbbababbabacbbcbaaabcabcbcabccbbcccaaabaaaabcaccbaccacaaacacaaccccccccccaaaabcbcbaaaccacbabaccacbbabcbbabbccacabcccbbbbaccaccaccaabaabccbcbccbbacaaabbbaaaaabcaabcccacabcacccaaacbccbaacbcbcbacbcabcacaccaccabbbaaaccbbbbbbbbcababbbacabbccccbaaacabccccbbcabcbcaacaaabcabcbcabcbaabacaabbaccaabcbcbaabcbcbcabcacababcbcbcbbbccccbcabbbaabccaaaacbbaacabacccabacabcbcbabacbaacaacabccbcacbbbbacabbcabcbaccacbcbacaabbbcaabcccbccabbacbcbabbbacacbaabbbcbabcbbbbbaccababaacccbaaccacabccbabcbbbaaaacbaacabbcaabbaacabbcbbbaababaccaabbabbccbbaaabacbcacbabccaaacbabccacabccccaababcaaaabacccaacacacbacbabaaccacccbaaacbcbbaccccbabaabcaabbbbaacbaacbaabaabbabcabcccacabccaacaabccaacbbbbbbcaccbcacbbaaacbcccbbacacbcaacacbbaabbabaaaabbbbcbaabbabaaacbccacbbacbcccaababbbbacccaaabaabacaaaacabbbaaaccbabcbbcaaccacaacccaaaabbcaabbbabcbcacaaacaacccccbbbacbcbcaccabccaccccccacbbbcbcbbcaabccaccbcaacccaacaacabbcabbcbccbbacabbbacabcbccacbacabcbbbbbcbaacbcbbaccccaabbcabbbcaccababccbccabccabbabbcabaaacaabcbbcbabaacabccbaabccccbcabaacbababbabacabababbacbabccaacaccabbcaabcaaccabaacacbcabcaacccbbabbccabcaccabcaabcbcabcbabbcbcbbacbaaaabbcabcaaaabcbacccbbcaaaaacabaabcccabcbbcbbabbbcabccbcbbacbacbaaaabcbcabcbaccbabbbaabcbaaababbcbacabbbcccaaaabaacbbacbaaabbccabaabbaccacabbacbbbacbbacbcbabcbbabaacbbcacacabbaccbabaaccbbcccccccbccbbbabcbbabacabbbabaabbaaaacaabbaacababcbbcbccaaabccaaaabbabccbacaaccccbbbcabcabaaaabccbabaaabbcaaacbaccacccbacbcacacaaccacbbcaacccbaacababbbabaccbbcccbaccacabbaababcabbacccbbbbbcacabacccbcbbbccbcacaacbcaaccacccabccabcacacaaababacbbccbcacaacaacbbcabcbccabcccaacbbcbaacbbaabbbbaabbcaabacbcbbcbcbaacabcbbbbcacccaacbbbcabcbbacccacaccbaaccacababcabacabbcccbbbabcbbcbbabbacbbbabacbaaaabaaacaabbbcaaacbcccacabbaacbcccaabbabacbbcccaccacabbcacabcacbbaaabacccccaabaabbbbcacccaacbbaabcbabcccbaacccbbabaccacabaccccccacbcaaacbabaabcccaabbcbcacbbcacacccbcaaacbccbcbbaabcccbbbcbbcacbaabacbacbcbcaacbcccabbbccabaabcbcabbbababacaabcbcacaababccacbbbbbbbcbacaaaacccaaccbbaaccbcaccbcaabacacaabcccaabbcabcbbacbcbcacbbbbacbacaababbacccbbbbabaccbaacaaabaabccabcaccaaccacbaaacccabcbabacbccbcbcbccccbacabcabaaacacabacacacacbbababbaccbbbbbcaaaccccaabbbaabbcbbbcbbbcaaaabbaccaabbabcacbabaacbbaaacbcbbaaabccaabccbccaaabbbbabcccccbcaccccaabbcacbbccbbcbcacabababacbbbcaccbcbaccaacbccaabbbccbbabcbcbbcaccbcbcaabbbabbccabbacbbabbbbabcbaaacbbaabccacbbabbcaacbbbaccabcaaabbaccaccccbabcabaaccaaacaccbccbaaabbccccbbcbbcabacaabacaacababaccaaacabaabcbabbbbcbcacacacbaabbcaccbaaaacaaaaabcbaabbbbbaccbacaccaabbcabbcccabccccbabbbcbcccbbaacabcabbbacacabcaabbbaaacabacaacccbccbaaaccbaaacbaabbcaaabcaabbbbcbabbbccaacaaaccabcccabbcbaacbaccbcbaccbcccaccaaaaccaaccbacccbacccbacacbbabcbbacacbaaccaaccbcabbcaacbabacbbaabbaaacbaabbabaaccbabccbacbcacbcabacaaaaaabaabbcbabcacabccaabacabcabcabbbbbababbaacccaabbaabaabcbbcccabbbacaabbcacbbabccbcbbccbaaaaabbacbbacacbcbbaaaccbcbbcaabcacacccaacbbcacacacabacccabcaabccbccbcbccacbacbccabcbacccbbbcccacbccbcacabacccbbaacacbaacbaabacbbbcababbbabcacbacbccbcbaccbcabcabcbbbaaaccaabbbcbacaccbabcbcaacbcbaabbcacaabcbacaaaaccabaccccaccabbbabaacabbcaabcbcccaabcacababcabbcacbbbaccbababacbcacabbaabcababaababbcbacbaaaabaababbaccbacbaabbacbabccccbbccbacbcabaabaaccabbcacbaaaacabbacacaaaabacbabccaaabaccbcbacbccacbacbabbccccababbbbcbcbbaacacbcbcccbbbabbaaaaaccaacccaabaaaabbbaacbcccbcccbcbaacbaaaacacccaaacbacccababcaacaacbcaaacaacbacabbcbabcaacccaaaccacbbbbccbaccbcaaacccbabbcccabcacbbababcccbccbbbaccbabbbaabbbacbaacbbabbcbacbbbbbbacacababaaccbcaababbcbbcbcbccbaabaababcbabacbcbbaaabbababacabbbccbaacccaaaabccbbcbaccbacabaccccccababbcabbcabacaabacbbbabaabbcbbaaaabbbabccccacbcaaccccbacacaabbbcbacbaaaccbaaaccbabacabbbcaabbbcccbcabccbcbacaaccaccabbaccbcbbbaabaabbaaababaccbcaccbbabcbcbbbabcbbabacaaaabaccabbbbccabaabaacccbaabbacaababaacbbaccacabcabbbcbcbbcbbbbcabcbbaaccbabaaaaccccccbbbcccbbcbcbcbcbbcbcbccbcaabccbbbcabbbcaaabcaaccaacbabacbaabababcacabbcbaccaccacbbbbccaaaacccaaacbcccbbcacbacaaabbbabcbbcbaaabaababbcccaaaaabbccccbaacacccaccacababababbabacccaabcbabaaabbcbccbccbbbcbacabaccbaaacacaacbcaaabcbbccccacacbabaaccabcbaabbcacbbcccabccaaabacbccccbbcccbbbabbcacbcbbbabbbcacbaaabbcbbbccbcacccaababbaacacbcbcbacccbaaaccbaabbbbacbbcacabbcbbbbcaababcbcbcacbabcabaaaacabaccccccabaacbbaacbcabacacbacbbaacaabaaccccabccababcabbbcacaabcabcbbcababbcbacacccacaabbaaaccbbbbcacbcbcbbcccabbcacbccabbcbbcacbaacbcabaccbbcbcbcccbccbcabccccbbbcbbbcbcbbacacbcaccaabbcacbaaaccacccbabcaabccaaabcbabbcaacbabbccbccaabccacccccbccbbaacabbbbcacacbcbcaacaccccaabbbbaabbbacbababbccbcabcbccbbbccbbbabcbaaccbbbacbabcbccaacabccaccbbaacabbcacacabccccabbbccaccbacbacbcbbbccabbbabcccccacbaabbbaacbcbabbbbbaaaaaababbacaaacccccababcbabcabccbaacaaaabccabcacaacaabbbbabaaaaabaaabaacbccbccbabbbbcaaaacbcababcabcaaabcccaaaccbbcaaaaababacbccaccababbaaccbbacbbbbbbccacbcbbcbacccbccaaabcaaccaabaaacaaacaccbbcabaacbccaabcaacbbbabbbbaaaabbbbbaaaabaabbabcbabbcbabccacccbbacbaabbbaabcbbaaaccabbaabacbabbacbcabcccbbaccccbabbbbcaababbccbabcccccbabbcbcaacacaacbcbabccababaabcccacaacccacbbbcbcbbcaacacaccccaabacaacccbacaccaabbcaaaabcbcbacccaacbababbcbaabaabaccacbbabbabbacacaacacacbabbccccacabbaccbaabbbabbcaccbaacacbbcacabbbabcccaaccbbcacaacbcaaccbccbccccbabaaacacacbcbccabaabbcacbccbbcbabaaaacccbaacbbabccbcabbaaaccbccacccaccbccbacbacbbbacbaacabccaacacacabbacabbbcbbbabacbacaccabbacbaccbbcccbcbccbcbccbabbbbccabbccbacabccababbacbabcccbbcccbcacabaabbaacccabbbcbccaabbbbbbacabbccaacbcbbcabaaacaccabcaccabcaaccccabcacaccababbbaabcaabbacaaccbbabaabaccbcbccaabaabccbcaaacaabbbbccaaaacacccacaaaabaacacccbbaabababbccccccbcacacaaabbaaacccbbaacccbbabbccabcabcaacbababaabbaabcaccbbbccababaaabcacbacacccabcbaacbbcabcacaaacbbbbabacbcaccbaccabccbcaaabbbacccbabbaccbcbcccbacbcabcbabccbcaaaabbbccabacabacbcbbcbaabcbaccaabcccabbcbabbabcbabcccaccbbbaaabbbaaaaabaacababacbccbccbbcbcabcccaccbcbaabaaccaccccaccbcaacbaabbbacaabcacbcbcacabcabbbabaabcaaabaaacaabbaaabcbcbbaabbcbaabcbbbcaccabacccababccbcbcbbcabacbaccccbbaacaaabbcabccbaaaaaabcccaaabaacacbabcbcbbcbcbcbbbabcbbacbababaabcbcaabbcaabacabaaaccbbccaabccacaababacabbbccaaccbabbcbcbccababcabaccbaabbccbacaabacbccbbacbbccbcccabbacbaacaacacccabababcbacacbcbcacbcaaccabbbccccbcbacaaabccacacccababcabcbaaababcbbbcbcabaaacabbcabbcbbaacbababcbbccaccbcccccccbbcabacaabbcaccbaccacbcbbaabbcabacccbabcbbbacbabbbccbbcbcbcabcbabaabcacaaabcaacacbbbcaacaccaacbabbcacbcaabcababcbaccccccbaabbbcabccabcacaaaacbbbbabbcbacccabcaacaaababbcbabcaaccaaaabbbcaabcbcaccaaacacbaccbccccbacacccacaabbabcaacacaccbbaccabccbacaabbbbacbcacaabbaabccaaabbaabbcccbabccaabcccabccaacbbaccbbbabbcabccabcacacababacacccbbaabbbccbcacabaccaaacbbbbcbabcbabbbbbacbabacbccbccacbacabbbcacaccaaccbbabaaaccbaabbcbacbaccabbcbbbcbabccbcbcbabcbcbaaccccbbabcababababbcbcbaabaaabbbabcbaaaaaacaacbabaaabbbaabbcaabbaabacbbcabbccbccccabaababbaccaacaaacabcaacabbbbacacacbcbccaaccbccbcbaaaabacccaaaabbbabacaaaaaaaccaccabcaabccbbabbbaccabcbacbacacbababcabcacbbbbcbbaaaababccabcaaaccabaabbbcacccbbbaaaaacacaaaaccaaccacaabbcaaaccbcababbcbbabccbaaccabbbaabacacccaacccbacababbbccbbcaacbccacabaaacbcbacbbabbccabcbabbcccbccccabbabcbabcbbabbbbccacaacbcabbbabaaaccbcccbaaabbcaacaacccacaaabaabbbaabaaabaabbbcbabcbbaaabcbaaacabaaccaabaaabcbbbcbacbbcccbccacccaaaacaacbaccccbacccaccbacaaacacbbcbcaaabcaaccacbcaccbcbabccbbaabcabbabcaaaacaccbcbcccbcaabcccbacbcabbcaaaabbbaccbccbaaaabcacbccaababbbbcccaababbbcbacbaaaacbacabccbccacbcccaababbbaabcbbcababacbbbccbbaaaababcbbbaaabccabcbabaaacabcbcccbbacbabccbccabacaabcbccabccaaccccaaccbbbbcabcccbbcabaccbbbcabaccbcaccccbcbbacccbbcbcbacaacbacabaccaaacabacabbaabbbacabaacbcbbcacbbbcbbbbbccacccabababccabbacabbbbaccababaaacaccccbcaccbbabcabcbabcacabbcabcaaabccbccaabbcbcbcacacbcabaaabccabbbbabcbbaaabbcaabbaccbacacbabacbaabaabcbccaacaabbabccbcbbaaccabbcaccccaccccabaaacccaacaaaaabacababcbcccbaabcbbaaacacaaccccaababbaabcabacaabbacaacaacbcccbcacacbccacbccaccbccbabcbbabcbbacabccbbacccccacbaabbbbccbbbaabaabbbababcacaaccbaccabaaaaabbacbbaabcbcccbccabacbbbaaaacabccbcccbccbacbacbccabcbbcbbcbccbabacabababcacabbcabbaacccccbbbabcaaacbcbbbbaccabcbbbabbaaabcaaabbaabccbccaaaaaabcbcccbacaaccbcbbccbaccbcabcccacaccabaabcabacacabcabaaaaaaabcabbbcaaacbababcacbcbbccabaaaacbacabbbbccbbabbbcbbacbacacaabacaaccbaaacbacbcbbaacbaabcccabbacaccccbbcbabbbabccabcbabcabcbcbcbcaaacbabcccccaabacbbaaabcabccabababcbcacccacbbabbbccbaaabaccabbcbabbcbbbabaacbbbaaabcbaccabbaacabccbbcacabcaccccbacbcbbbaaccccbcbbabacaaabbacbacbbccccbcbabbabacaaabaccccbacbaacbacbccbcbcaccccaccababcacbbcabccbbbaccbbbbcccabbcbaabaacabbbbaacccacbccbcaccbabbbcbabbaabbbaaabcbcbbaccccbcbcaabacccbcbbacbabbaaabbcacbcbcabababaabbcbabbcbababbccacbcbacaccbabcbabbbcaaacabcbcbbaccbaabccacacccbcaccaabbcbbabcacabbacaacabbbabacbcbaabacbccbaabbbbacbaabbcbabacbcacacbbbaaaababbcabbaacbaaabccccaaaaacbacabcacaabcacabaccbaaacccbcbabbbabaacabbcaaccabbaabacbbabaacbbbbbacabcaaaacacbbbbbbcaacbaacbabaacbaaccbbbaaabacaccbabbcccbabbcccacacaccbbbcbbbccaabbbcaccbbaacbccbcbacabaabaabacabacbcccbbbbbbabccacbcbcccbbcaaabcaaacbbbbbbaacbbacbcbbbcbbcbccacccccacbcbcbbbbcacccccbcbaaaccbcacbacbbcbabccbabbaaaabcacbcaacbaabbcccbcbbbccaccababcbcbbccabbbbaaccbacbcbbcbaaaccccbbacaccaacabcabacabcbbbacbcbccabccaaacbbcaacbaacbbcbbcacaacbaacbccbbaccccccaaaaaaccccbcaccaabaaacbcacabccabacaabcaabcccbccbaacabbbccccaabbaabcbaacabcacbcabcccaccacabaababbccabcbbbcbbbabbabcccbbccbacbacacbcaaacbccccacbbccabcbabaabcabccacacabbbbbacabbcacbccbbcacccbcabcbccbabbbcbbccabacccacaccabcbccacccbaccbcbacacabcabcbcaacacbaaababbcccaabccbbaaabcaabbaccacacacbcccacaacbaabccbaacbbbbcccaacbccccaabababcbbbababbaacbccbcacbabbbabaccccacacaabcbacaaabbcacbcaabbbbaaaaaacabcaacbbccaaccaccacaabbaaabaaabbcaaabbcaaaaaabacbabcccbaababbccbcacbcabacbbbcccbcababcaaabaaaaabcbcbaccbcacbbcbcbaabbacbabaabaacccccaaabaccababcccbcaabccbbcbbbaaaabaabbbcbaabaaaccbbbbbcbbacbbcbcbcccaaacabbbcbbcbccbbbbabbacbbccabbbabbcabbaaaacbbbaaacaccacbccaacaacbcbabbabbabbacaaabbacabababbcaaabacccbccaabaaaccaabbaccaacaaabcbbaabaabacccbcaaaaccaaaaaaabbcbaacbbbcbacabcabccaccbcbbbcabbbbcacbbcbaaabacbbaacccabbbbbabbbcaacbabccaaaabaaabbbcbcaccccaaccbcbabcaabbbbbbabbcacaabbccbabccacbacccccccbbcabcaaabbbaccabbcbabbaabbabcbbacaabbcbbbcccccccabbccabbcccbbcacacbbbcccaccbaacbbabbcbcbbacbcbbaacacababbaaacacccbbabbaabbacbbaccbbbbbacccababaabcbcabcabbbcaabcbababbbaaaccbaaccaabcabcbcaabcbabbbbbccbbcbaaacaccacaabaaaaabcccabacabcaaaaabcccaacbabbcbbcabbcccacccbacbabbcaacbcbbbcbcbcaaaabcbcababaabccaabacbcabababbaccaacaacbaccababaabbcaacbaabbbabcbbcaabbcbacabbacabbccacacbccabbcbacaaabcbbcbcabacbaaccbbcbcacaaacbcbcbbccacbaccabababaaaabccbbabcaabbaaabababcbabcaacbabcbcabbcccccacbccccaabcabcbbacbaaacccbbbcabcaacacccaaabbbcaaccbbbababbcbbbaaaaacabbaabaabcccabbabbbccccbbcccacccaaabcbbabccbaabbabccabcacbcbbbcbabaccccccabbcaccbcacbccaacaacaccbaabcbabbaaabbbcaacacccabcaabbbcccccccabcccbacabbccbbaababbabcbccaaacccaacaccaababbcbbabcaabcacbababaabbbbaccbacbcccbcbcbbccbbcaabbacabbccabcbabcbaccaaaaacbacbcbbccaabbabcbcbabacbccbaaacbcaaaaccacbcbbcbaacccbcabcaacbcabbbcacbabaacacbabaccaabcccabbccbbbccbbaccbaacaccaabcaccbbbcbbaccaabcbbbcabacbabbbbabccacbabcaaaabcacaccbbcabcbbaacbbbbcccabbabcaaaabaccbbcabbabbccbcabbbabbcabababbbabaacacaaabaaaabbcbcccbbccbbcbaacaabbcbbcabacccaccabbabaccaabcaabccabccbaaabbbaccaabbbccabbacbcbacabaacccccbabcbccacabbbbccccbbbbabccacabbcacbcbacbaabcbccbbaccabbacccacbbcbabcbcccbcabbcababaccbccacbccbacacacbbbcbbbacaaaaccbabbbbacbababacaccbcbccbccbbaabccabcccbcbcccaaacbaabccbaaacccbcccabbbabccbbaaabbaabcaccacabbaaabccbbbbaaaccaabcaaccaaabaccabcacabaababbaaaaaaaccbbccbcbcbcaccaaaabbccacbacaabbabaccacbbabcbacacbbcaaacaaaacaacacbccacbabbcbcaaaaaaaabbacabcaaabccaacbccabaacabbacbccbccaaabcacaaaaababbcbcabbbcaabaacaccaacbcabbccacbacbbaaaaaacbaabbbccaaabacbcacaaaabaacbcababaaabcaaabbccabaabacaacbcaababcabaaccbcbcabcccbcaacabbbbacccbbaaaaabcabbabaccabbbacaccbaacbbbbaaacbacaacacbcbbcabcacaaccababbcacabbcccabbbcccaacbbbbccbccbacabbacbbabcccbbbbcbbcbaabbccacbbacbbaccabacaaabcbcaabbccbbbbbabcbacccacbabcbbaccabbbbacbbbccababbbcbbbcbbaccbcaabbcbcabcaabcbacabccaccabbaaacbbaaaabbbbaacbbcbcbcabbbcacbcccbabbabbaaaabbabcacbbaaaaacacbcbcbcbbcbbcababcbbbcbacaabccaaaabbaacacaccbcabbbbabababbbacabbccbbcabccccaaccbbccaabbaacbbbbcabacabcacbcabcccbcabccbcaaabbacccabbbcbacabcbbbbbcacaaaccaaacabaaccbccbbcbaacacabbbaabbbabbbbbaaccacbcababccbbacbcaaababaaacbcbabcacacbacccbcbbaaacccaccbbacbcbabacaccacaacaaaaccbacabcbacbcaaccbbaaabbcacababbbcbbcaabcbbbcbccabcbcbbbacbcbababcaabaacbcabbcbacacabbcbaabcccabacacbbcbcbaccabbccbaccaccabcabbababcaaccbaacbccbacabcabbbbbccabbcacaccababcababcaaabaaabcccbcabacbaabaaacbbbaaccaaaabbcaaacababcaacacbcbaabcbabcbacbccacabccaaaaababcbaacbbbabcbacaacccaabbabbcbcacbacacacbbbcabbaabcbbacbbbbcaaaaaaacaccbccaabbbbacaccbbacaaacaacbbabcabacabacbaaabccabaaccabbcaacbbccabaabcbbbbcacaaabbbbabcbcbcbbbccbbabcabacaacbcbbbccbcbcccbbabbccbcbabccabbaabbaabcabbccccacbaacabcccbccaaaabbcbaccaacbcaccacbcacbacabbcbaacbbabbabbcbbacacabccbcabccbabccabbbcaacbbabccacbaaabcabcaccccbabaaacccabbbbbcbcacccaabcaacaacacbcbbacbaaccaababcbbacabcbacbcbabccbaaabbbcbcbacbcbacaacaacabcaccccbcabcaaccaabbbcccacbabaabbbbabbbababbbbcacaaabccbcacccaabcbaccccabbbbccccbaacbbccccccacacbaccbbbbbcabaacccbbccabacbacaaaaabacbccbacccbbccbabccbaabbbbcacbabcaabaaaccbbbccbbccabaaacccbaaacbcacacaaccbcaaacaabbbbbcaaccacbcacbaacabbaaccbaacaacbacaaaabaaacbcbcbccbccccaacacbcbcccaaabbaaacabccacacaaccccccccabcaaaccbbcccbcbacbaaabccbbbacccaacbacbbaccbbabcabcaabcbabacbbacbbbcbbbccccbcaabaacbcaacbccaabccbacccbccaaaaaaccaabcccccbbbbbcbbbabcbabacccbbbbaabacaabacbcabcaccbaabcccaabcbcababcbcccbbaacaabcaccabbccbacabcbabcccccabababccaaabbaabbbcabcaabcaabaababacbbbaaababacabbcabaaccbacbccbaabcbbbabaabababbcbcacbabaacbcaaacabcbbccabcbababcbbaaaacbbcaabcbcbbcccbcbcccacbacbcabacbccaacbbabcbababacbccbbacacccaccbccbacbabaaacbacaaaaabbababccbcacaaacaaaaaabaabcbbabcacacbaacaccaaacabcbaccccbaaccbbabbacacaacbbaabbcbaabababcacbaaabcccaacaaaccbbaaaacbaabaccaccbcbbccaacccccacbbcbcabcccbbcaccccbbaaaaabbcbabbbacbaaacbaccbacbbbbbbcaabbbacaacaabcbababaaaaccacacbabaccabccbaabcbaacacacacbaacaabaabacbacaaaccbcbabbabbabccbbbaabcbbabcacbbbbaababcbacbacbbcacbabaacaabbacbbcbacccbacaaaacccbccababaacaaabcaacaabaabacabacaaaaaccbcabbccabbaccbabcabaabbbcbccbccaaaaaaaaacabcbcbabaaccbaacbbcbbcccaaccacabbbbaabcbcbccbbabbbcababccaacbbbbcbbcaccbacccaaccabcacabcccacbaacccbcbbacaaaccaaacabaacccabbbbbccaaabacacaabaccabacaabcbbbabbcacaabaaaaaccaababcccbcccaabcabbbbcacbabbaaabacaacaccbcbbbcaccaababaaabacbcbcaaabcabaabcbabbbbacbcbccacccabacbbbbaabccbacabbbacabcacabbcbcaccaccbacbcaabaccbacbcaaaaabaabcbcabaabbcabcbacaaaababcabacbaaacbaabbcaacacaacbbcacbbcacbbaccacccccbccccabcaabbacacbcacaaaccacccccccbcabaaacaaccaacbbcbbacbacabbcbaabbcbbabbaaabcaacbacbccaabaabaccaabcaaaaacaababbacaccaccabaaabaabbbabbccccbbacacabcbccbbabccbcbcabbbabacbbabaaccacbcbaabbbbbabacccbccbcaccbaabcbaabbaaaccbbbabaacbaacbaaabbcaaacccaccabaacbbcbcabacbccacabcabaccaabcabbcabbccbcbccbbcabbcbcbaaccaacbbbabacccacbbbaccabaabccacacbccbcbcbcbacaaabbaabaaaababacbbbabcbcccbcaccabacbaacbcababccaabbbabaababbabacbbcccbbbabbbbaacababccabcabbbacaabaccccaabbbcacacaacccabbaaaaababbabccbccaacbcbcaabcbbbababaccaabacaccacccbaacaaabbacaaaacacabcabbaaacacccbacacabacacbababbcbcacbcaccababacbbccbbbbbaacbbccbcbcacabbbccbccccaccabcbabacacbaabacbacbaccacabbbbcbccbcabbcbcccacbbcccaccbbbbbbbccbcbabaacccacacccaaaacbbabaabbcaaaccbcccccacabbbaacaacacacaccaaaabcacccccbccccbbccbaacabcacabbbcacbbaccaacbbbaaabcaabbbcccaaaabacbccbacabbccacaccaccbabbabbaacbacacccbacbaabccaccacaccbcbababccacabcbccbbcbcbcababcaacaacabcbcccbaabbccabbccaabbacccacaaaaabcbcccaacbcacbbcaacababbcbbbcbcbbbcccaaccbaabaacbcacaccbccbccaabcacabcbabacabbcacbcbaaacbbcbaaaababbbccaacbcabbcaacacaaacabbacababaacabcaccbcbbaaccabccaabbababbbbbbcbaabcaaaaabcbcbccaaacabcbbccbcbbacbccbaaaaacbbabcbbcaabbaccaccaababaababcccbbcbaaccaaaccacbbcccbbababccccbcbacaabaabbccacccbbbacbbacaaabbbbcabcccccbabbbaaccabbaababbbccabaacbcbcbacacccccaaababbbbcbcacbabcbcbccbbbcccbacabcbababcbccbaccbccbbcbacccabacbbaaaaabaabaaabbabbcaccbabaaabbaccbccacacccbabcabcbacabcabcacaaaabaabcacaababacbacbacabcbabaabcccbbabbbccbcccaaaacbabbcacbabcabbbcbcbbccccccacbcacbaabaaacbbabcbabcaaacabbaaacabcbbccababaaaaabaaaccbabacbaabcabcccbaabccccaccbbbaabababccbbaaaaacbccccccbacbacbaacbacabaabacaacbaaaaaacbabaccbbcacabccaacacabacacacccccbbccbaabacbcabbccabbbccccacacaccbaabbcaacaabbcbacbcbcacaabcbaabbbccabbabcbbabcabbabcbccccbabcabcbabbbcabcbbcbabcccbcacbacacacabbbccabbccababaababbbbccabcbccacccccbaaabbabbaabbcbacbaabbabbcbcccacbbacbacbbbbcbbcabbaaaaacbaaaacbabcacbccbccccbcbcaacabbbacbabbabaacbbbbcabcacabaaabcbaaacaabccbcccabbacbbabaccacbacacacbaccbbbbbacacbabacabbbbacbbccacbacccbbccbcbccccbcbaccbbcbccaccccabaababacbcabaaabcbacacaabcbcaccbbbaccacccbccaccccbcacbbacccccbbbcacccbcabccbbccaccbacbcabaabacabbcaabaabcbcababaccbbbabcbabbbacbcabccaaabaccbaabbaabacccbcccaaaaabacabbbaabbcaabbcbbbcabacaabccabaacaaaccbccabbccaccaaaacababcbcaccaaaabaacbabacbcacaaacbbbaacacbcccabcbbabaaabcbbcabcaacaaacbbacaacabcacbcaaaacccbaccbbcabababaccacbabcbcabcbcbbccaababcbbcbbbaccbacacbabbbabcbcbbbacaabbcccacbabcbbcbbbaabaaaaacbcabccaabbbbbccaacbcccabccbaaacbacbccbabcacbbbbacabbaabababbcabccbccabbaabbccaaabbacaababaaacbacabaaabcbaabacaabcaccbaabcabcbacbaccbaabcaabbbcbcacacbabcccbabbbbabcbbbaacabccbbcbaaaccabcababaabbbbccccabaccbcabbcaabccabaccccaaaccbabcaacbcacacaacabbbaaababbabaacaaccbbabbcccbbbabbcbcaacbbbbbbababbbaabaccbaabcbabacbacbacccbcabaacaabbacbcaaccbcbbbaacacabcaaacacccbcccbbabcabccaacbbabaaaaaaccbcbbbacacbbcbaccacacacccbaacbacbabaabbbaaaaabbbcbcbcccbcaabbbcccacbcaccacccaaaccbcaacbbcbaaccbbaabcbcabcbcbbbaccaccaacbbcabcabbaacbccacbbbacacabcbacccbaaacaaacbccaaabcbabbbccbaaaacaabcbbbbccacaaaaccabababbabbaccaacabcaccccbaababbaacaabbcbaabcabaaabcaccbcbccbaacbcacbbcaccbcbcacaaaabbabbccbaabbbccbaaaccccccabbbacbaaaabacbcaabacccbbbccabcabccccccaaacbabacaccabbabcccabccaccacbcccaacbccbcbacbbabbbbcaaacbababccaabaacbbababbbccccbccbaabbcabbaacabbaaabcaccbcacbaabcccbcaabccabcacbbcabbacbbcbbaabbbcccaaabaabacbaccbcabbacbbccabcabcabaacccabbcabbcaaaacbaabccbbcacccaababbbaacbbabccbacaaabbaacabccabababcacacabcbbbcabccabcccaacacaaaababaacbaacbabaabbccbbcacacacacbbaaacbccacbccbccacbcbaaaccbbbcbbbccabbaaaacbabcabacbcbcbcccaaccbbabccbbbaaabcacbaababaacbbbabaccbcbabbbcaabbcaabbaacabaabcaccaaaaaacbcbacbbacbbacabacbbbcacbcccbbaaaaacbccbccaabbacaabcaacbacbcabbaabcabcaacaaabcaaaacacbccbcbcccccbaaabbbcbaabbbccbabcbacaaccaaccaccbccbaacababbccacbabcacabcacbabbaaabacbacbcaaccaccbbabbabccbbccaabbabaaacbaabcbbaaccccaabcbbcbcccccabcacaabcbccbbacbaccbccbbccbccacbbbcabacabbbbabbbcaaacababaccbcabaabcbccbcabcccaabacbacaacbbacccabbabbaaaaababbccccccbbcbcabccaabbbbccbaabbcabcbabbabbcaaccbacbbaabcabbcabaacacbbbcbaccbcbcbbabcacacaaaaccbccacbcccaacaccbacbaabababcacaaaaaccccbaaabbaaccccababcaaaaaacccbabababbbaccabbcaccbccaabbbbbababacbabbababbaccbabcbcbacaaaccbbccbabccaaabcbabaccbacccaacbbbacacccacaaabbcbcbbaccacaaacbcacaaaabacbccbabccbbcaabbbaabcbabbbcbacaaaaaacbaccbaaabcbcbabbcaacabbbccccbcabcccccccbababacaccacacccabcbaacbccbcbbbaccabacbbaaaabaaacbabbababbcbcacbbaaacabbbbcbaacccbcacbbbbbbaaaacaabcaacbbbbbcabbabbaaaccabaacaabccccbaacbabccabaccbbbcaabccbcababababbabccbcccacabcbcaaabcbcacaabacbbacabccccabaccacbbbcbbaabccbbbabccabcabcbccaabacbacabbaacaaacbcccbbcbcccbabcbcababccbcacccbcccbabbcbaabacabaabcbbbbbabaacacbcbbcabbcbcaaaccbbbbbacabcabaacbacaacaacbcbbcccbaacaaacbaaabcbcbbaacbcacbcbbbabaabcccabacaacacbbbbbcbbbaaaacbcbcbbbaaaaabcbaacbbccbaabbbcaaacbbccbbbaaccccbababaccbacbababacbaabcccbacabcbacbbabbcbabaccccacbccabcbcacaaccbcabbabbcacaaccbbbbbbbbcbaabacbcbacaccabbbacbcbbbaccbcacaacbacaaacbbbcabbbaabbcacbbaaabbcccaccbbaacabccabbbaaababcabbacbcbbbaaaabcabcaaccccabbbcabbaaccbbcabcbccabacbbbccabbacbacbbcbabbbabaccbccaaccaaabbccccccbbabccbbabcbabaccabaabacacccbaaaabcacabaacccabbaaacabccacabbbbbcbbbacababbbbbabcacbaacbbbcbababbbccbababacacaccccbbcbaabbabaaaabaccbcabacbbbbbacbbbcccaabcabbcacaacbabccbbaabcbbbacccbcbbabcccccbbbbcbacbcbaabacbcacbcbbacaabaabccbcccbacababccaaaabcbabaabcbacbcabacccbbcaabbbcccacbbaccbcbaaaacbabcbabaccabacbaccbbbacaccbabbbccaabcaaccccbbcabbcbccabcbbaaabbbbcccbcccabaaaccaabbccbcbbaacbcaabbbaabccacaaaaacabcbaaacccbcccbccccbbaabbbbbcacacbccbbcacbcaabcacabacaacbcccaaaaaabaacccbcabccccbacbbaacaacacacbbccbbbbaaccbbbbccaaaaccccccbcccabbccbccbbccabbcccbbacaaccabcccaabccccbccbcbcbaababaaacaccccbbcabcbbaabaaaabcacbababaaaccbaaacbccaabcccaaccbbbbaccabcbbccbbcbaccccbbbbcbacbbcabccccacaacbcbbabbbccbbaacbccbbaacacabcacacbbcacbaabbacbacccbaaccbaccaccaacabccbcacbaccbcbbcaaacabbcccbacbaccabbbbabcccaaabcacabbbbbcacbbaacaabbaccaabbbbbbcabbbaaccbabbbbaacccaabbcccaaccbbaababcbbabcbbbaccbcaacbcbabaccabbbaccbccabcbcbbcabbaacbbabbabbcccabacccbbbacbabccbbacbacabacccaacacbbcabcbbbccbaabacacccbcbbbacaaabccbcacacabacccbaaaccabababaaacababbbabbcaaaabaccbacaaaaaccacbaccbaabbaaacaccbcabccccbcacbcaaaacbbaaaabaccaabccbaaaababbcaacbcbccaabbbaaaccbbbcaccbabcccccccacbbbcaabbbabaacbbcbcbcabaacaabccacabccbaaaccabbbacabcbccccabbabbccacbaacabaacbccacabccabbabaabababbcccaabacaacbccbcbcbbbcbaacbbbabccccaacabaacbcabbbacbaaccbcbacbaacabbbcbbaaccccccbacacbacccbbcacbcbcbababbcccacbccbbccbbccaacbaabacbacacabbaaccabcbaabbaabbacbbbcbcaacccacbccabbcabcabbbaaccbbcaccbbbbabcbcacbccaabbcabacacaacbccabcbccaaabacccbabcbcabcbcaaccbaacbcccbabccaaaccbccaaacaaaacacbbacabbbaaacacbccbabaacabcacbcbbbbcaabbbccbacbababbccbcacabcbbbcccaacabbbbacacabcccaaabcaaccbcbbaabacbbccccbbcccbbacbaaacbaaaccccaaccabccbcbcccacacccbaacabaaaaaaacbccbbbabcabcaaccabbbbcbccababbcabcbabbbbcbbccbacbcccbacccbabcbbcccabbbacabcaabaaccbabcbaabcacbbacbbcbbbcbccbcacabbcacacaaaacccbccbababccaabbbbccbbbccabcbcacbacaacaccaabbaabcbaaccaccaabcababcbcabcabcaacabaacbbbccabccbcbacbcaabcbacccaaccbcaccabbccabcbcabbaaacbaacaaaaaabbcacccaacabcaaabacccaaccaccbbbaacacaabcbabbbaccacabbaabccaccabcccabaaacbcbbcabcbcbbbbbbbcccabcbcccabbbaaabcaacccccbaccbabaaabbccbacbbccacaaabaaacbbcbcababaacccabbaaaccbbccbacbccbcccbbbbbcbacbbbaabbabcbcaaccccccbcabbcbabacacbbcccbababcccaabbccacbaabcbaaaabbcbaccaccaccccabbbbbcaccacbaccaccacbbbcacabaaaabccccacabbbacbcbcccbcbcaabbbbabcacaacabbbcabbbbcaaaaabbaaabbaacbabbbcabaababacbabaccacabcbbaabbcccabbbacbccbcaabacabcbcabcaabaabcaabcbabaabcccbaaacaacaccbcbbbbccbccbbcabcaccccaccbbababaccbccccbcbbaaaccbaabccababbaabaccbbaabbccaabcabaccccaccacccaabaaababccacbbcaacabbacccbabcbcabbabccabaabccbcaaaaccbcbbbccccbaaabcccaaabbccaabaccbaccbaccabbbcbbbbbcbccccbbaabcbbacabccbababbbcccbabbacaabcaccacbcbcbbbcacbbbccbaacaababccbacabbccbabbbbbcbcaaccbccabbaccbabaaaacbaabbaaabaccabaacbabaaccccacabcabbacabbabaccaabbaacccacbcaccbaaacccababbbccaabccaaaaababcaabcccacbcbbcbcbbaacacbacbacaabccabcccabbcabcababbcbcccbccabbbbacaacaaabacbacabacaccacccacbcbccbaabcabbbbabcbaabbbaaccaabaccbcaacbbcabcabccaabbbcccabacbcbbbbbbbbaaabbbbcccbababaaccccabcbaccbbacbababbcacacbaaabbacbcabcabbbabbbbcaabbacccbccbbccbabccbcbbcabaaacababccacccacabbcaacccacbbbbbcaacbabcabaaaacbcccabcbabcbaacccccacaacabccacaaacccaacaaccbbbcaaaacbacbbbaaacbacbbbbbaabccbbaccccaacaaaccbcbcbcabaabaabbbcccbcbcaacabbacccaacaacaaabaccbcaaaaabacbbaccbcabcbcaabaaccbabcababbacbabcacacbbcacaccbaccacaabcababbaaacbcaabcccbabcccaaabcaabbbbaaabcabbccbbbbacaaabcbcacaaacacabaccbcaacabbacacbabbcbcacaabccbabbbaabcbcccabacacbababccccbbccacabccaacababbbacbabcabaaabacbccbccbabbccbcbbbaabcaacabcbcccabbccabbcaaabbbaacbbbcccaccbbbabcbcacbaccbccccacbbcbaaacabbabacccccaabacaccabbbacbccabbcbbabbbaacbaabaabaaacccccccccabcbbbbbcccabaabbbacccabbbbbcbbaaacbacaaccaacbbbabaacabbabbacbccbcbbcbacbcccccacacaaaabcbcbbabcaabccaaaaabbcccacaaababacbbabbbbcaababbccbbcbcababccbbcaabaabccacacaabcccbbcaabcbcbbaabccbabbcbabcbcaabaaaabbcabbbaabaacbccacaabcacccabcbbbcbbaacbccbcacbbaabbabbbbacaabbbccbabbbacacbaaacbccbcbbbbaaabaccaabbcababcabaccbbcacacaccabcbcbcacbaacaabbaaaaccbaaaccbaccbacccbcabbbacbbbbaaaaaaabcabacbacacbabbabcabacbaacbbcabaaccbccbccbccabbbcbabcbbaccbbcccabbacaaacaaabbbbbaacbcbaaabacabacccaababaabaccbbaacbccccacbaaaacbbbacccbcbacbacacbacaaacccabbcbccbbcccbbaaaabcccaaccabbcbcabacaacababacacbaccbccbcccccbcccaaaaaabbbbabcacbbbacbcbaaccaaaacbbabababaaaabbaababccaccbcbacccabbcacbacbcabbbbcbcbaaacabcbacabcbaacbaacacaaabbbbacabaabcabaaacccccabcaccbabbacbcaacaaaabbbacbcbabcccbcbabaabbacbcaccbbcabaacaaaababbabaaabbcbabbbbacbaccbbcaccabacacabcaccacbabbbacccacbabcbbacbbacacbcbccbcabbcbbbabbbcbccbbabccbcacbaababbbcaccabaacacbacabacbcaabaaabcbccbbbcbaaacabbacabcbcaccbaabbcacbbcaacbccbcacabcbbccabbaccacbbbcbccabaacacccabaccabbbacaaccbcbaaccbacbabccacaccbbbaccbbabcabccbacbaacacbaabbaccbabcbacacbbaacaaccbccaaaaabccabaacbaaabbbbcccbbccaaabbcbcbcccbbaacccbcaacbcbabcbacabcbbaaacbbbccabbcbbbcabbcccbcacbccbbbabbbaacbabbbbbbbcbbabbaababcbacbbbbccbaacacacacccbababbbcbabbbcaaaaaabccbabcccbcaaaccbcccbabbcabababbbabbacacaabaccaaabcbaabbaabbbccacaaaaaacaacbacccbbbccabcaaaacbbbbcabcbbbabbbbcaaaabbcbbcbabcbacaccabbbaccacbbcacabacacbccacacbbcaccbacaccccbaabbcbccbabcbabbbbcbbccabbbabbacbaccbcccbbcbbcaacbcacbbbababbabaacabaccbccaaccaabcabccabbaabcccabcabcababccbcbcbcbaaababacccbbbbaaaacaabcbbcbccccccabbabbbbccaccaccaccbbcacbabbbbaacbbccaacaabcbbabcbaaccbaaccccccbcaacaaacbaccccbcabbbacaccbcaacccabaabcaaaaabccbcbaccbbcbacbbaaacbccccccaccbccacccaaccbacccabbcbbbcaaabcabababbbabacbbaaaacbccaacaaaabbbcbbbbbcbbbcbbbccbbcbcbbaaaababbacbbcbabacccabbbacabbbbbbabccabbcaccbbbbaacccaaaacbcbbabbbaaabbbcaaaccaccacabcabccaacbcccbaccbbbbbabbcbabacbacbcaacccbaccbbbabcccaacaaccabbcbbcabaababbaaabacaacabcaaacccacababaaacbaccbbbccbacbbaacacaaccaccbaacbbaaaacbacabccababaccbcccbacccabbcbabbbccbbcbbbbbcbccbbaaaaaaaacacacaaacabbcbcaabcaacbbbacacaaacacbbbbcbbbcccbbacbccccbbbaabbccbbacaaabacbaaaccabccacbbbabbabcbabbcaccacbbcabbbacabcbccbbaaaccacaaacbaccbbababaacacbbbaacbbbaabacabcaabbcacbbbbacbbcbacbcbacaccbcabaabccacacaaabaccacabccaabaaaaabcbabccbcbbbccccabbaccbaacacacbcbbaabacabbacaaaabbbacaaccabbbbaaacbccbccaabbbcccacaaabbccaabcababaccbbccbbbcbaaabcaaccbbcbaabcbbbacbbcaccbacbbcbbbbababcbbaccacacbccbbcbacbbcbcbcbaccbbabcbaabbaccbcabbaabcbbcbcccabbbbcaacbbabbababbabcabcbbaabbaaaccbabccabbcbcaacbaaccbacabcbccbcccaabacaacaccaacbbacabcbabcbabbbaacccccccaabacaccaabbaacabacbccbbccaacbcccbaaacabcbcbccbccbaccacbbbabbcccbaaababaaaaabcabccaccbbaaaabccbaaabbbbcacbacbccbabaccaabbcbacacbbcacbababccbcbccaaabaacccbbbcabbabaaccbcbabcbccaaaccabccbcabbbacacaabbbbcbbbbccccbaccbcbcccabbbacacabacaabcacaacccaccbbacbccaabbcbcabcbccabbaccbbcbabaacbabbccaaacaccababcbcabbacbbabbccbabcacabcccccbbcccabbababcbcbabcbcbbcaabccaaabaabbaabacacbcaabaccbacbbbacccaabbbabcbcaabaccccabaaabacbcbaababacbcaaacacbabbabbcacbacbacccccbcabcbabbcccbccaccabaacbaccccbaaaacacaaaabcbbaaabcabccaacbccbbaabacaabcbaccaacbcbabbbacabcbbbabacbcabaccbaabcbbccaabcbbaaacbcbbaaabbbcbacaaacccbbccacbbbbaabaaacbaccccacabaaccabcaabcbbcacbcccbbcaaabcbabcababbabaabbaaabbabacbcaaacaaababcabcbbcccabaabccbbcaccabbbabbaccbaabaaacbbbccbbccaacaccbccbcbccbbccacbaacabcabccacbbaaabcaabacbbabbbbacbbbbccbbacbabcacbcbccbaaaabcbbaccabbbacbbcbaabbabbaaaabaabcccbccaaaabcacccacbacaacabbccaabcaccacccbaaccccaacaaabbbaababcbcacaccccabcccabbbcbbcbbbcccbccabaaacccacccbabccacbacbcabcbcbbbabbccbacbccccacacbabccaaaaccbcbccbcbcacccababcccabbbabbbcbaabbbbcbbbbbaacaabbbabbcbbcbaaaaaaacaccacbcabbcabaccbaacabaccacabcabcbbbbbaccacabbcbbbaccbcabbaaaccabaccbcbacbabaaaaacacbaccbcbaaacbabcccbabbbabcaacabbcccbcccaabbaacccaabababbbccabbbaababccbabbbbacbabcbaccbabbacabcaccccacccaacbcabacbbcbcaacbccbaaababcabbbaacbbcaabbacccccbbbcbccabccbcaaccbbccbcbcbbaacabbbccbacbcbacacccacacccbacbbaabbccaacbaabaabcccbccbabbbbccbccbbcccbccbacaabcbbaacbcbbcabbabcbaccbcbbbaabccbacacaacaabcccbbaccccbcbcabbabcabaaccbbcbbcbcaababbcbbaccacaccaacacabbaacbaaaccbcbcabcbacabcabaacbabbcbcbaabacabbcbbccbabbaaaacccccbaacbcacbaacacbbbcbcbaccbbbabbcbbccababaacaacabaabcaaaacbcccccbcccccccbcbbcabcccbccbabccaaabbbcbacabbccbbcabaccbaccbcacaacbaaabcbabbaabcaabcbbcaaaccbaabccacbaccabcbbbbabccbbbaabcbbcbbcbbcaaaacbabcbbacaacbbaaaaacabbbcaaccacbcccaacbcaaccacbbcbabcaababcabbcbbbcaccbaacccbaabaacbbcababaccbbbaabbabcbbabbbacccbbbbcabacccacacaaaccbcaaacbbaacaccbacaccbcaacbacbcbacaaaabcaccccccbcbbabccbbabacbbccaabbbacbcacbbbbabcccababbaccabaabaacacabbbcabbcabaacbaccbbcbcabacacaacbbaabbbabcbccbbbbbbbcbbabbbbbbcbbabbaaccbccacabbaabbabbbacbccbbbabbbacaccccacbaaacbbcccbbbbaaaabaaaaacbaccbacccaccacacbacaacababcbcbcabaaccaabbbccaaaaabcbaccbbbbcaaaaacaccacacbccabbabbccccbabbcccbccaabbcbacbcabccbcbcacaabbabaccbccaccabccbacbabbccaacbabcbcccabcabbbbaaababbacccbaabacbbbaaabccabcabacccabbbcacbacbcacaccbccccbbccbbbcbababcabaaacbcccaccccbaaababaaaabbccaccbabbbcbaccbbcbcbcbcbcbccccbcbccbaacbbcbaccaccaccbaccabbbcbabbbbcaccbccacabcaaaaacaccccbaabcbbcabaaaabbabbcacabbcbcabbcaaabbbaaaccabbacbabcacaacacbababbbbaaabacabacaaccbccbaaccbbabaaaabccbaabcbbbccaaabbabcccaccababacbabbcccccabccbbcbbcaccacbccbbcabbababcaccaacbbbbacbcacacabcccccccbbabbbbcbcbcaacccabaaaacababaababbcaabacaacaccbaacaabccabaabaccabaababcccabcabcbbabcabcaacccbcaaccaacbcabbaaabbacacabcacbacbabbbcbbbcbccaaabacaccbacbccaabcaabaacccacaaaaacabbbaabbccabacbcccacccacabcaacbabbababbaccbbbbcccccababcacacbbbcacbcccbbabbabcbbabaabbaacbcbcaacbaaccaccbaccccccccbaccbaccbaabcbaaacccbcabccbccccbabbccaabbcaaabacccbaaaaaabbcbacaaaaabacbcacababccbbccabbababcaaabccbbbcabcaabcccacabbaccacccabccabbcccbbcaacacaabcbcaccbbaaaacabababbcccbccbbaabbccbacbbacbcccabccbabacaababbbbabbaaccbbbabcccccacbaacbcbbabbaacbcaabcbacabbbcaacccbabababbcbcacabbbabaacbcbcacaaaabacaccbbbaababccccacbcbcbcabcbabbccbabcabbbabccababbacbabcbcacacabcbacabcacacaacaaaaaccbbaabaccbaaaccbaacbcccacbcaccabbcaacbcaabbcbaccbbcbacabaccabccbaabbccbbbcbcbacaabacacaabaaccabcaaacabbacabcbccccbaaaaccabbaacbacbcbbcbacacbbbccaacbaacccaaacbaacbccbacccbaacaccabbbbccbbcaacbbbaaababaaabbccabaabbcabcaaaabbccccabcbcabccbcacaaccaccccbcbbaababbcacccacabbbbbbaaaaabcacbccbccbabcbbcacbccacabbaabbbbababbabbaccbbbcababccacaabaaaaababbbacbcaaaabbcbbcacaacbabbabbaacacbcacbaabaaaabcccbcabbcbbbbacacaccbcbbccabcccccbacbcaaacabbccabbbbabababaacbbccbcacbabaacabaaaaccacacabaccbcbcccaaacbaaacbaccbbbbbcbabbcbacacccbbacccabacbcabcbbababccbccccabcbbcababbaaaabbabbabccaabcbccbbcbbccacbccccaaabccacbbbcaabcaaababcbcaabacacbbaaabbcaaaacbbaaaacbbaacbaabaacabbbcabaaaccaabcaacaaaccbcacccbbacacacbbaabcbcabbcaccbcbabaaaccaacacbaaacaaabcabcabccccacbbbbccbcbaccabcaacabaccaaacaaaccabbbcabbbcccbacccaccbababbcabacbbaccbbccabbcbacacaaacacaabccacbcbabaabcaaabbcabbbbbbcacacaccccabbbcaacacbbbbcbbcbbababcbccacbcbbcbcbabbbccacbbababbccabcbaabbcbbbcbabcaccbcbccacbaacababcaabaccbbacbaccabcaabcacbcacabaccabbcaaabcbcaaabccabacabbbacbaabbbbcacbcbbcbbccbabbabacbaccccaccbcbccababaacbabcbcababcccabaabbcaccccbccccacaacbbaaabcaccbcbcacbbcaaabccbbcbaabbabcbbcbbababaabccbacacbaabcaaaaccccaaaabcbcacacbbbcacbbccaaaaabbbcaaaccbaabaabbaaabbbccbaabcbbbbccbcacaabacabaabbbcccaabbbcbacbbcacbbcbbacbbcbcaabbcbcbbbbccabcacbcacaacabbcccbbcaaaabbcaacbcaabbbbccbcbcbccacbbccabbcccbbbaaabcabccbaabbacacbbabaaabbacbcabaccccabcaaabcbaaabbcccbaacbacabccbccaccbabbacccccabbbabcbcbcaabaabbabbaabbcccbbaaccbbbbbaaccbccabcbcaaaacccabacbbaaccabcbabcaccaacbcbcabbaabbaacaacbcbccbababbaaacababbabacbcbbbcbaaacabbbbacbcacbbbcaabaaabaaccaccbaabbbcbbbbcbcaabbcaaaaaaacbaaccccccabccbbcacaaaabaaccacabcacbbcbbacbcbbabcbabcbacababbcccbaaaacacbbacccccabbbbbcbccaaacacbcabcaabcccbabacabcabbacbaacbbaaccbbcaabbabccaccaacbbabbabaabcccbbacbcabbccccaaccaacacbaacccccacaabcbcaabacaaabbcaaccbcccccbabbbaabcabbacbcbaabbbabbcbaabaaccbbcaacacbccbccbabaccbbbbbcacbcaabbcbbaccabcbccaabbaccbaacabccbabacabacaabababacbcaaaabccabccabbbacbabaababcccaccbaaacbacacaabacabacacaabbacaacaabcbcacbacbcbabbcabcabbcbacbbaaabccccbacacacaaaabbbbbbcabbaacbaaabbbcbbbbcbaaacbccbccbacabbbbabaaccbcbabaacabccbccbbbababbcbcbbaccacaaacbcacccbbababcbacbbaccaccbabacabcbccaccacaabbacbbaacccccacaccbabcbaababbaccaaccaacbbcacbccbcabbbcbbacaaacabbcaabbbaccbccaccbabccabbabcbcbcaacccccbcbbbbcacbaacaabbcbbacaabacbcbbbacbbccbaccbcbbcbccabcacabbbbbbbcaaabaabbccaccaccabcabccabcabcaaaacbbaabccaabacaccbccbccacbacccbcbcbaccbcbbcbcbaabacbbcbaaaccbacacbbbccacabbabcabcbbccaaccbccccabbaccaacbccbabbbbaabbcaabbbbaabcabccbccabbcacabbabbabcbacaccaaabcbccacccabacabbccbcabbbaaaabbaaccaccbccababcaacaacacacbbaaaaacbbcaabcbacabbabcbbbcbbccaabbaccccacaaacbbacbacacaabcbacabbccbabcbcaacabcaaccabacbcbcbcbccacbbccaabaabbbabaaaabacabcbaabbbcbcbbaaabbcbcbcbbbacabaabaaaababcaaaaccbcbbcbcbcabcabccccbbcbbabaccaaccbabccccbaccbaacbaaacbaabbbbbbaababccaaacabaacabcabcbbcaabbcbccbaccaabbacbcbbbacbabaaabaaacccbbccaaccbcabbaccbacbbccbbbcbcabbbcbcccbccbcacccccccaababbabcbaaccbcaabbaacaacabbcbccbcacaccbabbbbbaabbabcaacacabacbccabccbaacbcbcccaacccbbcaaaccccbaaaccaabbcaabaaacbaabbaaaabbbacccaccacacaccccccbccaccccabbaacaaaacabbcccaaccacbbabacbbcacbabbaaccbcccaaaaccbbcccccacacaabbbcaaacaabcabcaabcbabccaccababcbacbbcababbbabccccacbccabaaabbaabaacacacabcaaabaccbcccbcaaaaacaaacbaababacbbcccaabcbabbccbcbccbccbabacaccccccbbaababcaaabbcacabcbbcccaabcbbcbbbbcaababacacccabccaacbaaacacaabcbbbabbcbacabbbccacabcabacbaccaaaccbbbcbbccaabbaaaabaacbbabcbcbbacacabbbbcbbaabbbbaccbcccacbbabacabaaaccbacacaabcccaabbcccbaaacbacbacbbcbbcbbaabaacbaabbcccbbbccccbcccbabbabacacccccccaaaabbabcacbbaabbcaacccaccacabbcacababcbbcbabccabaaccababacbcaabaaaababcacacbbbacccccbacccaccaacbacccbaabaaacbbbbbbbcbcacbbcccbcaccaaacabcacbccabaabacabbbcbcccaaaabbaabacbaabacbaccaabbaababacabacabcbabacbcbcbbccbbccbbccbacbccbcacaacbcabaccacbaaabcbcbcabcbcaccbccaacbcccabaaaccacbcbaaacaccbbbbcbabbbbaccbcccaabbcbaaabbcaaaacabbacccbcbcbccacbabbacabccbcbbbbaabbbbcccbacaabbbbabbbbccccbacccacaaaacbbbcacccbcbaacabacabaabbabaababbbbcabcbaaabbcacacabcccaccccabcbccccabbccabcccccabaabbcaccabcacabcaacbbcbaaccbccbcabcabcbccaaacacabcabaaababbcbaabaaaabaabbabbcbaacbaccaaabcbbaacbcabccbaaababbaaccbcccabcabcbaaccaaccccacbcabacacabcabcbcbcabacbccbabccbbabababacccbcccbaccbbabcbcbabababcaaaaccbcacbaacbcabbccacaaccccbacabbbcacccbbacbbccccacacbbababacbaabbbabbcbaccacbcbccacaabcaccaaacacaaccbcaacabbcabbaccbbcbaacbcbabbccababcbacccaacbcccaccbabcacccccbbcbcaacabcbcaacbcacabbbccaaacbccaacaacbbcbbaababbcabbaababcacbbacbbaabbbbabaaaacabcacbcaaccacbbbbcbbcaacabccbcacbbbcabbbbabaabbcbabccbbcabababbbbccaaaaabcacaabcccabcaaacbcaaccccbabacbcaabacbaabacbbccbcccbcbcabbbbcabcaccbbbababcacababacbabcacccacaacbacbbcbbcbccababccabcaacbaabacaccacacabccbbcacaaabbcaacacbbbbacbcaacaaabaaccbccbcbcaababcbcbbaabbbbcacbccccccababcbcabbbcbabacbabbaaacbbaabbaccabbcbccaaccabbaaaabcbbcacbccccbabcaaaaacaaaccaaaccbbccbbbabcbabacaabbccbaabccabcbbacccaaaacbccbcaccaacabacacccacbabccbacacaaacccacaaaacbcccaacbaaaacbcacacbcaccaaaaccbcbbccbaaabbbcbbcaaabaabcbbcbbcbbccabbbaaacaacccbccbbccbccccbaaabacbccabababbbcbcabbcacbcacbcbcbaaabccabbaabcaaacaacccbcbccaabbbacbacabaabccbbbbaacaccbaabbabcbbbaabcabbabbcbcccbcaaaccacbbaaabacabbbbaaacabaacaacbbabaccbabcccbaabaabaaccbbcccccbacbccacaaccbabbcaabbccabacaaacbcabcaaaccaaaacaacabaacbbaaccabaccaaababbacaababcccaccbabbccaacabbbbcccaababaabaccbacccbcbcbbcbcabbbabccbabccaccabaacaacaaacbbcaccccacbaaaabcacabcbbaacaabbccbbcbacacbabbacbbbcacbabcabbbcbcaaaacaacbcbabacbcbbabbcccacaabbbbacbcbcccbccbcabaacccaaababcaacabaaccbbababcaccabcccaccaabcaacbbccabbcbacbcbcbcbbbcccbcccabcabcbbaabcbcbbaaaaabcbcccacabbcacbaaccbaccbababcacbbcacbcccbcabaaaaaabcbbccbacaaaccbcbacccabbabacabaaabbbbbccbbbaababcacaccbccacccbbcbabccbccacccacabccbcbcacccaacaabbacccaacaacacacacccbababbbcbacbcaabacbcccaabbbbbcacabbbcccbababaacabacabbbbbaaabcabbccabbababccabaabcaaacacaccccbbaacbacaaacbbabccbacbbccababaabacaacbaacabcbabaccaabbaabbbbbcacaaaabcbbbbaaacaaaccaacacabaaabbabcbbcbaacbbaaaacbcacacccacccccaabccaacbbcbbbaabacaabbbacbabbbaacaacaacabaaccabcabaaccacaabcbcabbcbaabcaccaaacbbccbcaaabbcacbcabccaaaaabbcabaacaaacbabacacaaabcabcccacbcbaacbcabaacbabaccbbcccaaccabcababaaabaccacabcaabaacbbabcaabbbcaccbaaaaabbcbbcabacbbcaabcbcbabbaabccbbacaabbacabcbcccabcacccbbbcaaccbbaaaacacacacccbabababcbbbbbacabbacacacbbabcccabbabacbaacaacabcbbccaaccccbcbbbcccaccccaacabccababccaabccbacbbaccaccbcaacaccbcabccbbcccbabbbabcaccaabcbbbaabacabcbabcabbacbacbaacbcbccacaccbbcaaabbbcaacccbababbcaabbbabbaccbccacaccaaacaabbbababcabbbcacbacbabbaaaccbcccacccbbbbcccccccbcacaaaabcbcccbcabbacbacbbaccabcacacbbacbbacccbcbcaaccccabccbbccbabababcacbabbccbaabbbbbcbccabcabaaaaaccbcbcccaabaabcabaacbababcbaacacacbaaaaaaabacaababacaaababccbcbacaacbcbaaabacccbcabacaaacaaabababaaabacbbcacbcaaacbbaaccbabcaaaabcacbbababbbcabbabccacbbaabcbabbbbabacbbacccaaaabbcbaaccbbaabcccaccabbcabbaaccacabbbbabbabaccccbbcabaabbbabbcbcabcabbccbbabbbacbabacbaacbacccbbbaabccbbbbbabbbcabcabacaacabacababbbaaacbacaaaacabbacbaabacbcbcaaababccaabaacaabccabaaaacabbcaaacbcaabbbcbaababcaaccaacacbabbbbacaabbbbccbaccaababcbabbcbccabbaaacaabbcbccccacaabbbccaabacabcbaaaabbabbbaaaaabacabacbbbaaabcbabbcababbbcbcccbcacabccbbcbcbaacbccccbccbabbbaccacbbbabcbbbaaababaabababbaaccbcbabaabcbccbcbccccccbcbabbcccabbaabcccaabaaccbbbbabbbaabcbcacacacaabbacbbaacbbaaacaacababaaaababcbcbabbcacbccbbbaaaaaccbccbbbccccbabaccacccabacccbbccaccabbaacabbcabbccacbbcbcbbcabbcbcbcbbaccbaabcaccbbcacaabacbacbbccacacacbcbcbaaababcaaacbbbabcbacbbbccccccbacccacacbcaaabccacabbbbccabbcacabbacbabccaacaacccabacaabbbbbbaacccabbcccaabacbaaccaabbbbbacbcccabbbcaaccccaacaccbcbbcaacbccacaccbaabbabcbbaccabbabaaaabbaaccbbccaabcabbccbabbabbaaaccbacaacbbbaccccaabcabcbabcccaacbacbbbaabaaaacabbbacaabcaabbbbbbaccccaacabcccacaabbbaaacacccacbbbabcbbaabbbaacacbbccacacabbabbccbaccbcacbbaaabcbababccccbccbcaacaacabccbbacbbbcaaabacacccbbcbaccaacccbcaaacbcacccacaabbbaaaacabbbbccbcbbcbacaaabcaccbbbcbcabaacbbccaabbbaacaccbccaabaacbabbbacbcbbcaccbbaacbccaabacbccaaccbccbccbacccaabaccbbacacbccbacbccabbbbcaaabaabcbbcaaacbbcabcccbcabcbbabccccbababacabaabccbacbaacbcacaccabbcccbbccaacbabbbcabbacbbbcbabcacaaaccbcbbbcabcacbaabcbbbaccacaacbbaabbbbaacababcbaccbbacccaacacaacaccaabcbbbbbabbbbabcabcbacaabaacbacccbbcbccaccbbcacacacccbbcbbbcbccaaacbcbabcabbababcbcacbbcbbaaaabcabbabcbbbcbbaababbacbbbcbbbbcbaaccacabccbcbbcabacbaaaabaaaabbabbbacbcbccacabaccbbacccabcccbccbccabcbccaaaabcabbcbcbbaaccccaabaccbbcbaabbbbbaaccaaccccaaacabbaccabaacaaaabccaabacaaabbacaabbabbbcbaaaaaabacabccbcbcccaccabccabaaaaabcabbabcaccaacabbababcacacbbcbccbbcacaabbacccbbbbaccabbccabbbbccbacbacbaccabaaacababbbababcbccbacabacaaabaabcbcacaacbbbbbcccaabcababccabbcbacccbacbccccbccabbcabbcacaacaabbcbabbccaabaabbccbbbcaaacccaaaccacccaababcbcbbaabccabccbccccbcbbcabbaaccccaaabbabababccaaacacbbbaacabcbaaacccaabbbbcabcaacccababaccbabbcbcbbccbabaacaabbacccbabbabcacbbaabcbabcbabbabacbcabaaabbbcacbaccbbaabbcaacabaccaaaaabccbbacbaccbccabcbbcbbabbcccbcccaaaccacaacabbbaabaabcaaaacccacaaaccaaabbcacbaacbcaacaccbcabbbbccacabcbbbabccbbcacbacaccbaccbccccbabbbcababccbcccbacbbbbbaabbccbbaabbcbbccbacbbcccacaabbacacacaabbcbaabcaccccbaababcacabaacbbbaaaacbcaabababacaabcaabcbacbbbbbbbbaccbbcabcaabbabbaabacaabbaacbbcbaaccbccacabbbcaabcaabacaabcabbccbcacbbbbbcbaacbbcbbabcacbbaacbcbbcccbbcbbcbbbcbccaabcbbabbaabcbbbbbcccaaacbaaccaccbbccaacaaccababbacbbbcaaaaabbbcabaababacbbacbabacacbbcbaacbcaccbccbbccccaabbabcaabaaababbacacacaaccbccccccabbbcacbabbaacbcbcacbccccbabccbbcababbbcaababcbaabacbacbbaabaccbcbacaaabcbbcbabaaacabbaabacbccccbbbcccabaacabcabacabaaaaccbabcbacabcccaaacaabcbacbaaabcacbcaabbcbabccbbaabcbaacbaccbaacbacbcaaaaaccacbcabccccbabbccbbbccaacbcbcbbccccbcbcccaaaacccaaaccbcacbbcacacbcaaacccacaaacbcacacbabcbbcabbacccbabcaacccbaaaaccaabcacccbbcbacbaabbbcbabbacbaaccbbbcaaaabcccbcbccacccaabbcbacaaaccbcbccababccacccaccccaccaaccbbabccbcaaccbaabbcbccbaacaacacbaacaabcabacabcabaaacaaacaacccccccccbaacaabaccacbccabbbcaaaacabbaacbccbbbbacaccacbbbaacbaabaabcccccbabcbcabacabaccccaacabaccacbcaaabcbaabcbaabbcacabaccbcbccbcaacccaccaabbcbacbcbcaabaabbbababcbabbbcccacacbbbbbabbbccaaccbacbccbbaccbaabcbabccccaaccaccacbacbbbabacbaaabaccacbcbbbcacbaabbbaabbbcacccbcbacabbbccacaccabcaaabcbbcbcbaccabacaaaacccccbaaccacbcbaababcbbcbbcaaababaacaaabaccbacbacbcccbcbbcaacaacbaacabccbaacabababbaccaacaaacbbacbbcbccacbbcbccccbbcbcbbcbbaccccbbababaaccbabbaabaabcabbacbbbbcacabcabcabaabcaabcaabcacbccccbbababaacccaabacbcaababcccbbbaaaccaaacbcabcccabcacbacabcacbcbbbbbacacbcacccbccabbacabababbcbbcbaaccbbacccacabacbcabcbcaabcbacabbccbabacabbcbcbbabcacaccbaccaabcaccacaccbcbabcbcccbbabcbbabccaabacbbbcabbcbacbbcbaaacbbccbaccbbaacaacababcbbbabcacbbaaacbaacbbbbcbcbaccaacbbbcaaabbccacacabcacaacbccbcacabbbcabbccbabbbcccbcbacbcaacabcaaccaccacbacacccbbcbbabccbbaacabcabbcacbacacccabaaabcbabbacbcccbaaaccabbaaabcacacbaaabbbcbccbabacccbbccaaaaacabccacacabaabcbcbababcbbbccacbbaacbacbccccccabbbaabcbacaacacbbcaccbbcababcccccacccbcabcbabbcabbbcabacbacccaaccabbcaaaccbbabbabbbaacbaabaaacbcbbbcacbbaaabacbabbbacbacbbaabaababbcacccaccbccbaabbcbaabacbcbbcbbcacacbaacacbaccaaabacbcbbcbbacbacbacccbabcbbcbcccbcbcbaaacaababbbcbccaabbbbcccccaaacbaaaababbbcaacababbaaaabcabbbbcaaabaacabbabbbcbbabbbabbaabcccaabaacbcbcbcbabaacccabaacabbbbacccbcababccbbcaaabccaaaaaacbaacbbbccbcccbbabbcccaccbcbcacbbaccacccacabbaabaccacbbbabccbcaaabaabcaabbcaaaccaccbaacbcaccbaccaccabbbcbabcbaaaababcacbcacacccbbbbcbccbcaaacbbccabcccacabbbccaacabcaababbaccbabbcbccccacccbbccbbbcccbbabccbbacaccaaacccaccbaacaacbabcbacbbacaaabbbcbcabcbbbccaacccbccbabaccabbacbbbacaccabcacaaacbbbccaabbbacbaacacacaaacabaccbbcbbbaccaabbbbaacbaababbbcaabbaacaccacbbcbbcbbccccaaccacaaacacaabbabbbbbcaaabcbbaabcaccaabaaabcacabbccbcbbcabbabcabcbabcabbacbaabacabacabcccbbbacbccbbcbbacabbaccacbababbabbaaacbbacbbbcabacbbaaccabaaabbabcbaacacabaccbbccbbaccacccabaccaaacbaccccbbbacbbccabcccaabcccacaacbabacbaabbcacbbbccccbbcaaabaaccbacbbacbabccabbabbcaaabcabbbabcbacccbccacaabccccaaccbaabbcaacaccabbcbaaacaacbcbbcbacccaababcbbaabcacaabbaaabcacabbbababaacaabcbcaccbaaacbbbaacabcaccababaccccbaabbacbbaacbabacbccbacbaacacaaaacbaaaaacccaabbbbabbccbbbbabcbacbbbbcabcbcbccacacacaabaabcaaacacabcaaacaabcbccabcbbcacacccbccbacaaabcabaaabacabbccaacbacbaabbacbcbaacccccbabaaabbabaacccbccaacaaacbcccbaccccaccbabacbccabacbcabaacacaabacababccbabbacccaabcaabacbabccbcacaccabacababbacababaacaccacbacaacccabcabbbbaccabbcacacbaacaacbaaabbbaaaacbcbcabaaacbaaacabaaacbbabbcbbcccbabaaccbabccccabaaacacbcaccacbaaabbccbbaaabbacbbcbccbcbcbaaaccacbabcbbbacbcbbbcccbbccbcccbcbaaabbbcbccacabcaaccbccbbaaabcccbbabacaacbbbcbcbbbacacccccbcaabcabbbbcccccaacbabccaababcaaacbcabacaaaacacaaccaaaaccaabaacccabaacbabcabccabcabcbaacababacccaaaabcaccbcaaabbaabbcbbcaababcbaacaacccbbccccbcbabaccaabbbcacaabacaabcccabcabcbccabcacbcabcbcacbacabbaaccaaaabcccaaaaaaaaacbbbccbcaaabbcbcbcccbabccaccabbcbcabbabcabbbcccacacaacbcababbaaaabacbcbcabbaccabcbacccccbabaccbababacbcacbbbbababbbbcccbabaabcbcaacbbbaabbbccbcacaaccbaacaccbbcacacbabababcbccbbccaccccbbbcacbaccbabacaaccaaaaccbbacbcccbccbbcaccaabbabccbacaacbacaccbbbcbcaccaaacaaaabcbbaaabcbbaccbcbaaacccabaabcabcacbbabccbbccccbbaabcbcbacabbbcbcaaccccccacbbbbaabccababbacbabacaacaacabbbacabababbabbacbacacbabbbacbcccbbbabaababccbabaaabbaabaacccabccbbcbabccbcbabcbaacaaaccbcbaccacaccccabbcababacbabbcaaaacbcbaaaabbacbbacbcacababaaccaacbbbcbcbbcabbabaabbccacbbacccbaacaabcabcbaacacbcacbcbcbcbbbacacbacabbccccabbcabaabbbcabbacccbbbabcaaabccbaaabcaabbbbacbacbcbccbaaabaaabbbaabbbbabbcbbcbbaabcbccbcbaaacbcbaabacaaccbcbcbcbaaacaccacbabaccbbbbcbbacbbccccccabbcccbbabaabcabbaabacbaccbacaabbacbcbbaccabbbbabccaacabbacbabbbaacabbbbbccbabbbabbaabcaaccbcaaabcbcbbcbacbbacccbbbaaccaacbabccacbcaacacccaaaabaabaabbaacaabbccbcbbccbbcaabbbcccccabcabcacabaabbaccacbbccbcbbcaabacccacccacccbabcaccaabcbbbbbcbbcabaabbbcccaabbbabbaabcbcacaacbacacbabccaabaabacbbbbccbbcbaabbcbabbaccccacbaaaaaaacacaababcaabccabacccabcaaacababccbaccbbcaacabbacbcbacaaaaacbabbabcbabcbaaccaaacbaacbbbcbbbaccbcbccbabcaccccbccbacacabbabbccccacbbabbbcbcaaacaccaabaacacbacccbccbcacaabbbcaccccbbabcccaacbcbbaaaaabbbcbabbabcacacaabbcbbbaaccaccbcbabbacbbbabcbbcbcbbaacaaabaaaabcabcbcccaabacacabcccaabbcacccbcacccccccacbccaaaabaaaabbcccaccaabbaabaccbbcbacbbabacbaaabcbccaacaccabbbabccccccbccbccbcccbbbbaaccbaacbcbccaaacaabcaaaabccbcbcbbcbcaabcbabcbabbaaccbccbaabccacaccbbacccaccbcacaaccbbcabccaccbacabcbbbccacaaacbaccaccabaaabbbbcccbbaacccbccbccabcbbaabbaccabaccbbaaacbcacccaaccbaaccbacacaabaaabaaaabcbbaccaaabacabcbcbababcbaabcbbcabccaccaaabccacacabacabcbcacabacaacbaaaacbbcabacccabbaccbaccaaabaabbcbcccbbcbacbaaabbcabcaaacbaaccbccbccccacaabcaaaaabcccbcacabbacbcaaaabaaccabbbccacbccbbcacabbbbcabcaacaaabbbcabbcaaaaaccccacaabcbcacbacabbcacbcccacbbbaccbcabcbcbcaccbbacbaacacbcbcabbacabacbcacabbcaabbcbacbcbacbbbbcaaabbcbcccbbbcabccbacacbbbababacaacbbcacacbabaabacbacccaccccbcbcaaaccccbbaaaaaacbbacbaabcccabcbbcbabcccabaaaacbacbcaaccbcbbabbcbaababcbcaaccaaabaccbcaccacbacaabaccccbacaabcacbcbbcacbbaaaabccaaabcbcbabaaaacbabcbbbabcabacbcacbcbbbaabaaaabbcbacbbaccccaaabbacbacaccbcbaaaaaccbcbbcaabcbcbabbabcbabcaacaabaacacabaacacbababbabacaabbaaabaaabcbbbabcbaacccacaccaacacccbabcbcbaaaccccccccbbcbbbacbabacbbabcaaacabacbbccbbbabbbcbcacabacaaccacbbcaabbbabcbbcaaabcbccabaaacaabacbabbabccabccaccbbabaacbccbaccabcaccbcbabaccacabccbcbcbcccbcbabaabbacbcaacacaabbacbccbaccaabaaaaccbabcbcbccaacabcbbccbababcbbcabbabccaacaabbaaabbacbcaacabcbcaabbaabcbcbabcbcbacbabbacbcbbabaaaabccaaccccababaabbcbccaccccabbcaaabaaacbcabccacabcbbcabacaccbaccaaacacbcbcabcabaacacbacaababaccccacbabacccbbaaaacbccacbcacbaaccaacccbaabbccaaccaccbcbaabcbaabbbcacbbbbbcacccbcbbaccbacbcabaaacaaacacbaacacbbbabbacaabbccbcacacacaaaababcbbbaacbaabbcbaaacbcbbacbccbabccabccbacbaacbbcbcaaabcaaabacbbccbbbcaacbcccbcacbbcaccbcbaabbcbccabbbabcbaabbcbcaabcabcccbcababbbabcacabaaaacaabaaaabaaabaccbcaaaabcbabccabcbacbbabbbbbbcaabccabaabaabcccaabbbaaacbccacabbcbbbbcaabbcabbbbabbbccabababbcaaccbaaaabcacababaacaccbacbbbbbcbcacbcccbbaacbbcabaaccabbcbcccacbaaccccbabccccaacbaacabbbbbbabaabbaacccccbabacbcccbcbbcbcacbbaacacccbcbacacccaaaccbbababcbaacaaabbcbbabccbcbcbccccacacaaaccaaaccbbcbacbabbbabaacbcbcacbacaabccccbcbaacaacabbcbcaaacbbbbcabbbbaacabaababcbccabcbacbbbaccababcbacccabbacabaccbaacaabaabaacbbcacaaacbbcaabcabbbbabacabbbccbccccbbaabaccabbccaabcaccbccabcbababcccbaacbabbbbbcaaacaaacccabcabacabccbbcbbcbcccacbbbbcabccbccacababccccaacbcbbbcbacbcbababaabccbcaacccbcbbcccccabccabbcabbbaaabaaaaacccabaaccccccbbbcabbabbbbbaabbabaaabbcacbbaacabcacacacccccbcaaabbbacabbaacccbbbcacaccbbcacccbcbbabaaaacaabbbacaacbbabaaccaaabbabcbcbcaacbccccbbbaccccaabaccacbabaaccacbacbbaacabccbbbcabbacaacaabbbbacaccbcbccabcacaccacbaabbabbaaabccbcaacbcccaaaccacaacccabbcccaaabbbbbbabcbbcababbbabcbbcbcbcaaacbaaacaacbbccbcabacbaacbabbbbabcbcacabcbccbacbacacccbcbaacacacbcbcabacbaacaabbbababcaabbcbbcaaabacbabcccacbccbbbcccaaacbacacccbabacaaaaacccbabbabbccabaaaaacbbcbbaaaacccbabaaaacacacbaabbacbbbaabccabbacaccbbbcbabbccbbccabaaaabaccaaaacacbbababaabccccbbaccbbacccabaacbcccbacaabcaacaaccbabaccbabaaacacacbbcabaababbbabacacbaababccabaabcabaacaaacabcbcababbaacacacabaaaacccbacbcbcbccccaccabcbaaababcbcccccbbaabcabcbabbabbccccabcaaaabbaabcbababbcbabbcabcbabacbabaabccbaacaabbcbccccbababaacacbcacbaaccabbaacaabcccbccbbbbbccabcacbcbbcabcaacaabbbccbacbcacbcabacaaaabcacacaaaabababcbccbbbbbbccabcbccaaacaccabbcabcbbccbbacaaccbbbbcaaaacaabacccbbbcbabcbaaccbababababcabbcacbcbbacbcabbbbbccabcbbbccbcbccabbabbbbaaabbbaccbbcbbcbcbaccbbbbcbbbaaaababbbacacbccbbbaacaccacacccbabccacabcaacacabbaccbbbcbacbbacbbbabbcaaccaabbbcbbbbacccaabcbbcbaccbabacbbabcbbcbaaaaabacabacbcbcabcccabcaaabbcaabababbaaabaabaabacaabacabacbccaacbabbbcaabbabbacabcabcaccaaabaaaaaccccaabccacabcaaaabacbbacbcbacacaabbccabcbcaccaabcaaccbcbcbbbbbaccccccaccbacbbbcccbccbbaccaaaaaacacccbbbbacaabccccbbcbcabacacbccbcbccccacacaccbbabcaaacbbbbaaaaacabbbaaaabcbaabaacbbcbccbcbabbacabcabbbabccacbcaaaaaababacbacabcbcbababccccbbbcacabbababbbabaaaaababaccbcbaaacaabcbcbacbacacbacbbbaabacccabbacabbacbacbaaccbcbabbcaabcaabbabbbccbcbcccabbccbabbcabbaabbbbacbaaaccbbbbcaaccbccacbbabccbbaacaaaaacbcaacbcabacacbbabacbbbcbcbcbcbacbbbcaaaaababcaabaabacbcbcbbbccbabbacabcccabaabbcbbabbaccbcbaccaaaabbaaabaabaaacacabccaccbacbccabbabacaaacccbacabcbcaaacbaabaaacbccabaccbcccbabcabbaaaabccbaccaaaacccccacaaaccbcbbbbcbaabcacacbbbcaaaaaaacccbbaaabbccbaabccbbaacacabccacbccbbacbcaaccacbabbccabbabbcaabacbbabacaaacccabcbbaaccbabbbbacbbcaababbbccacaaabaaabccacaacacbbcbccbbccacbabcabacacbcaabbcabbcabcbccacacaacaaccaabaabcccbababccbcabbaaabcbbcabccbbacbcababbababbbaacababacabcacabbbacbaacccaaccbbbbbabacaaabcacbacaccbacccbbacababccacbacabababbbbcaabacbcbcbccaccbccbcccaccabcbaaacbaccbbbaabcbbabbababcbabacaabbaaacccabcaaaabccaabaaacaabbcabaccccaaabacaccaaababcccabcbacaabacbabaccbacacbacabbbbaacaaaaaabbaaacaaaabcbaaabcabcaacbcbccccababaacbbcbbaccbacbbacacccbaababababbbbabcacaaccccbccabbbbccacacbcbabbbacacaccaacbbbabbababbbaaabccbbbaaaccbbbccaacaccacaaacbcbacbcbbbcacbaccbcaccacbaccbccabbcabbababbaacbcbcabbabcacbcccacbcacbbacabaabbababcbcacbaccbabbaacaabbbbcaccacaacabcababacbccabbbbabacccccbbcbbcabcbcbaabbcaabaaabccabababccaaaacbbacbbbbbcbcccaccacabccabbbaaccbbaccccacaccbaaaaccaababbcabbbbbbcaccacaabaaabccbccbbaaccaacbbbcccbabcabbbbbaccaaaabbabcbaacbcabaaabaaaccbbcacbcacacacbbccacabaccbbaaabbccbcccbbbccaaccbaabaaaacbbbbbcabbbbcacabbcbaacccbbbcacbccacacbbababcbaabcaacccbbcaaaabccbcbcaccbccbcabaccbabaaacbcabccbabaccbcaabaaabccbabacbabaaccbbbcacabbbabcaacccbcaaaabbbacacbbcaaccaaccaaabccabbccbaacbbbcacacaccbcccacaaabaaacaabaabaaccbaaabaaacbbacbcabbcbbabcaccbcbacbcccbbabacaccaacbaccbbcbbaabccbaccbccaccbababcbcbcbacabbaabcacbbcbacaabbabacbcabbbcabccaaabcbbcabbcccacacccccababbccbcccbabaabbbbcbccbabacacbcabbcacacacabbbaaccccccbabcababbcbcbaccaabccbbbccabaaccccacabcaacbabcbcccbabcbcabcbaaccbcaacabacaaaccabcbccccbbbcbcaabbaaacccbcbaccaabcbccccbbcacabbacbcbccbabbbccaaabacbbbacbccabbbaabaaaabbccbabacaaaacbbacbaaacbbaaaaaaabaaccacaaacaaccbbaabcbbccccabcbaabacbcccccaccabbabbabbaacaacccacccabbbccacbccabcbbcacbccabbabaaaccabaaaccaaccabbbbaabacabbbccaacbacbbccccaaccbabbcbbaccababacaaabbbaaabacbcbcaccbcbcbbccccccbcaabcccaacaccbacabcabccacacbbcacacabbcabbabcbcbbaabcbababccbaacbbcbcaaaaacccaacbcbcbacabaabacacbcacbcabaaaacbcabbccbcbcbcaabbaaacbaabbcaaacabbaaabcaaabcbcbaabbbbcbaccababcbabcccbbcbbacacabcbcbcaccacbcacbbacbccaaacbccbbbaacbcbbcabcbaabaabacaabbabbbabbbcabcbcbbcbabbaabcbcbbcbbbbabcabbccbcacccbbbbabacbcbbcccccccacbbcacbcbacbaaccaccbbbabbcabcababbbccaabcabbaaaaaaccabbaaaabbcabaaaabbbbaccbbacbccbabcbccabbcbcccabbbcacaaabacaacaabbaacbbacaabababaabbabacbbacaabbcabcabacbbbcacbacabccaacbabcccbababcccbbcaacbaabcbabbaacabcbbabacbcaabcbbbbabbbbbbccabbcbcabbbbcccaaaccabaacccaccbabcacbaabcbccaabaaaaabcbcccccccbccbbbbcbbaccbbcccbabaacbabcabcabaabcabbcbabaacbcbcbcabbabcbbcbccbaccaabcccbcaacacbaaccbacccaababaacbacbcabbbbccccabaababbababbaacbababbccbbbacbacabccbcbbbaaaccbbbacbcccabcbbcacbacabacabcccacacabbcabacabbbbabccbacbcbaaaaccbcbcabcccabcbbbacaaaacacacabbaabacacbabcaccabbcabbcbaccbcbabaccabcccbbbccbbcabaacbacbcccaaabcccbacbacbaaacbbcabbcaaabbbbbbaababcbbbbaabcbbabaacccacbbbbbabaccbcaabbbbabaabccccccabcbcaabbabbbcccaaacbbcacaaacaaaabacababcbabcabbaccccbabbbacbabcbccaccbbbaacbaacbbbbcbbcbbcbaabbacabbccbccaacccabccaccbaabcccacacacbbbbcbaabbcccaacabcabbbbacccaaaabbaaacabbcbbcbbbcacabbbbcbcacabaaabbbbcbbcacbabbbbabccbacbacabacbcbbccbbbccbbbcbcaabcabacabbccabccbcacccaccbaaabbbabaccbcaccbabcbaaacbbccaababbcacabccaacccaaaabacabaccbaccbcbbbbbaacbcaccccaacacbccaabbaabcaacbcbbaababaccbaacacccaaccbbcbaccbabccaaabaabaacabccabbaabaacbbcbacacbcbcaaaacbcbabaaacccabaaaacbbaabbaabbaacacabcbcbaaaabccabbacabbcaaaabccccbbaaacccaababbbbccbbaccaabbaccbcbbbcbaaabcccaababccacbbcbaccaacbccaabcaabccaccacbbabbbcbbbbbccaabccbbbcabbcaccabbbaacbcbaacbbccabbabbacbacbababacbcaacbacbabcbcbababcabccabbacabcccbbcbabbacbacabbcacabbcbcccccabbacbbacbcabccacaaacacbcbaabaabcaccacacccabbcbbcbbcccbabcabbccbbaabcbbbbbbbaccbcabbaaaababbcaabcbbbbbcaaacbaacbbcabbcbccbabbaccbcbcbaccacbcbbcbabbcbbabcbcabcaaabacacccbaacaaabbacbabcabcbabacbbcccacbbccabbcaabccaaccacccbabcaccbbaacabcaaacaaabcbabbcaaaaccaaacabbcaacaacbbaabbbbaacccccabcaaccbbabcbcccaababacacbacacabccacccbcacbcbaccccbbacbacabbacbcccbbaaabbabcccaaaababbbbcbcbaaccbbbcccabbccaaabaabcbbaccccaaaaccacbcbacbaaacacbaccbccccccccccbbbaabaaccababbaacbbbbaaabbaccbccbaacbcabcabbabbbaaabccbbccaaaccaabccabcbaabcabbccbabbccccaacbacabcaaccacacbcabbaccbcabbaacbcbccacccaaaaccbbcccabbcacbbbbbccaccacaccaabbcccbcabcccbbccccccabbaabccbbaacabbabacbaaabccbaccaacaacbbbabcccbbaacabbacbbccacbcbcacccbcbbaccabcbbaaccaaacacccababaacbccccaccccaacbbccaccbccbcbcaacaccabbcbcabcbcccaabcabbabbabcbaacababacbcccabbaaabbaaccacbbbbcacaacaaabacaaccaacbacccabbcaabbabcccaacabccccaacccbacbabcaacccbccacbaabbccbccbcacabaccbccbcccbabccbccbbbabbbaccbbcbccbabbaaacbbbccbbccacbaaccbcaaaccbcbbaabbccaabcaaabbbacbacabbbaaccbcbccabcaabcaaaaccacbabbbaccbaccabbcacbbaaaaabaaaaacababccbbbcbccaabbabbacbbbbaccbaabcaabbcbbcaacbccaaaacaabcbacbabccbaaccaaabaabaaccbacabcccccbbbbcaaacaccaababcaaaaabbaaccbaacbabaccbbabbacaacbaaaabccbbbccbbacacaabaacbcccacabccbbcaaacccbccbaabaaaacaacabacccbbbbbcaaaaabcccbbacaccacccaccbcabbbabbbaaabbaccaabacccacaccbabacbbabcaaabaaaacbbcaccacccacbcbcaacabcccbcabcaaaaabbcacbbbcaaaabbcaaaabbaaaacbbccbaaccbacaaacaaabccbaccccbcabbbcabccccabcacbacbaccbcbbccaaaaaacacbabbabcabccccbcbacbbaabbcabcabccabcbcacabacbcaaabbcaccbcaaabcaaaccbcabaccbbbcabcbbcacabccbccabbabbbbacabbbcbaccbbccbcabcbbbbbabbbbcccabbcaacacaccbabbbbababccccaaabbbbbbbcabacbcbbbbbaaacbbacbaccbccacbcaaacaaabacbcbbbacaababbabaababccacbaaacbccacaaabacaccabcacaaacababacbacbcbbcbbaacccbcbccccbcbabaaccbaabaacbcabbaccbcabcaccbccaaababccbaaabcaccbbcbbcacccbaccbbbcbbcbbaccbcccbbccaaabacbcbcbcabaababaaabaaccbaabbbcabbaacbccabbcaaaaabccaccabbccccbabbacbccccbbaccbcbcbcbbccaababbbbabacaccbabbcbbabaacaacccccaccabcabacaabbaaabccabbbbaabccaacbabcbccccbaabbaabaabacacbbccccbaabacbbcabbcacbcbaaacaacaabacbabaccbcccaccabaaaaaabbaaacbacbbbbbabbabccbbbbcaaababbccbbbabcbaaaacabcbbcbcbbbbbcbabbaacbbbcccacccbaabbabcacabacbacaacabababcababcabbcaaacaacbbccbaccabacccbcbcbbbabcbacccaccbccaaccaccccaabbcbbaaccbcaacbcbbbbabcbbacaccaccacbacccccabbacababbcbbccbbbaccacabbabcaaacaccacccabcccbbaabcbccacccbbcabacbbbaaabbbccaacbbbbacbacbbbcccbbbcbbbcbcaccbbaacbccabbbabbbcccccbbbbccbbbcbbbbacacbcbccccaaaaabbcbabbcaaabbacaacbabbcacbcaaccbbbbaaabaaccbacacaacbcbbbbcbcbbabbbbaabbcbabcbccbababbaccaaaababbbababaacacbabcacbbcbaaabbbbcbcbabbaabcbbaccbbccaccccbccacbbbbacacacaaccaaccaabcacbacbcabcccbbaaccccacbccbaacacabbccbacccbaabccaabcbbccbacccbbabcabaccaaabaabbccaaaacbbaabaacbacbcbacccbacaaccacbbabacabaaabcabaabbcaccacbcbaccaabaaccbacacababaaabbbbbaaabaabcabaccabaaabccbcacccbaccbbabbbbcaaaaabbababcbacaabbaccbccaaacbabbcccbaaaacbaccacbcbbbbcabbcababaabccbcbaacaaaacacbaaaacbbccaaababbaabcacababcbbccacbcababbcbcabbabbbbbcaccbaccccccbabacabbbaacbababbbaaccbbcacaccbaabbabbcaabaabcbbcccbacbbbcbabbcabacacbcabcbabababccbabbcbbcccbcabcbacbbbcabbbbbbcababcbcbacbccbcbabcabbbacbbbababbcaaababccbbabacabcaacacbbbaccbccbacabcaccbbabaccaabcbacbabbabaabbccbbaacaaabbbbacbbbacbbabbcaccbbacaccaaacaaaccaabcbacbcababccaaacbbcccbaabacccccabccabcbabaacbacbbabaaabbbbbcbabbcbbbacbccbcacaaaaccbabaabaccbababacccbbacaacbbcbaababaacabbabcacaaacaabcacaccabbccbacaaaabababbacaabbaabaacccbaaabbbbaaababaccccbcccbbacaaaccaacabbbabaccacccabbbbababbcabbacbbacbccacccabacabcccccaabcaacabbbacacaacbcccccaccbaabbbbacaaababcbabacbcbcbbaaccaccccbcbacbababbcabbcbcbaaacbabaacabcbabbaababbcaacbccaccbbacccbcaaccbaacbaccbbcbbbabbacccabbababbccccbcaccbccacaccabcbbcabccabbaaaacbcbbabbaaaabccbbcbcabaccbbbbbcbcbcacaababbcaabcbcabcbabbbbccbabbbaaabbbaabbcabaacbbbaaabaaaaaacbcbcbbcbcacbbabcabcbbbaacacaaabbbabbcbbabccbbaaabbcabaaacaccbbcabababacabcbbcbabbcbbcccacbcaaabccabcacbbabbcbbcababbcbababbbccbbcbabaacaccaabcbaaaabaacabaabaabcbcaaccbaacbaaccabbcacccaaaabcbccccbacbcaabcabcbbbcccbcaabccbbbcbcccbccccbcbccabaaabacbabccbcccbbccccbccbbabbbbaabbcaabbaccbaababcbabaabbccaabbbcaacbbcbbccacccabbbcaacbcbbabcabcabcbbbcacbacaaccacabaaccaaaaacbcbbbabbcaacacbbbccccaacbbbbaacabbcbcaaababaacaabacababbacaccbabbbbaaccaccccccacacabaccbcbbabaabbabacaabccaccbcbcabbbcbabacacbcbabbcaaaccbbcaabaccacccbbcaaaaaabcaabacabbabbaabcaaabacbccabaacaacbbcaabacaccaaabbbcbabaabbaababccbbcccbbacacaccaaacbccabaabcaaccccaabbcaaabaccacabbaaacbcabccabbcaabacbabbacacbaabacaacbbcabbaabbbabcabcabaccbaabccaacccaabbcabaaaacaaabccabbaaaaacaaccbbccbbcccbacbccbaccaaaaccbccaaaacccbbccbaabaaaaacacbcbccbbcbacaabcaababcabbaabbcaaabcacacabaaccccacaaacacbbacccbcbbbccacaacaaacccaabbccbbbccbaccccacaccbbbbbbababcacbabcacccbcbabacacbcaaaaacbccbbcbaabbbacabcabaacaacbbccabcaacaabbccbabcacbccccabcbcaacacaccaaaaaaccaacabbbacabababaccaaccbaaabcccbbbbcccccacbababbcaccacbccabaabbccacacbacbacbcacaaaccccbabbabbccccacabbcaacbbaaacacaccbbbcaccbaabcbbccbcbcbaacccbabaccabbccaaaccbcccccbbaccbbcacaabacabacacbcaabbcaababaabbacaabbbbccccabacbacaccccaacbaaccabaccaaacbccbbcbccabcacbbaaaccbcaacaacaabbcbbccbbacaaaccbbccbaabcacbccbbbccbcacbcaabacacacbcbacbbcbcbaccbcaacaabccccccaababccbbacaccabcbaabaaaabaaabaccacabaacbacaccaacaacbbabbbbabababccccabbcabcacaabccabaccaccbbabacccaacaabaacaccaabbacaabaacbbbbcaabacaaaacbccccbbcabaabbaaabaaaccacacabcaaccabcaaacbbccacbaaacacbbcabacbbaababcbcaabcbcacaacbcabcaaaacbcabbcbaacacabbaaccaabbbbcccaabbabccbbbacabcbbcacaabbcabcccbcabcbcacbacbacabbcbccaaabaaccccabbbacbccabcbbccaabcbacbccacbbbabcabcaccbcaaacaccabcbacabbcbaabbaabaabcbbcaaacacaccababcbcaacababbcccaacbaaacccccbcaaaccbbcbcbbacbabbbccababbccbcbccaababbaaabbbbbcbbcaacbbacabcbbcacababaabbcbbabcbcbbacaabbacbbcacaabccabaabcaccabcacccbaacccbaacabcabcbaaaaacabaaacbcbbcbccbccbabbccbacccbcccaaababcccabcaacbabcabaccbacbbbacbccaaaacabccbbabababacbbcaaabbbaaabbbccccbaabacaacaabbccccababaaaccaabaaaabbbccbabaccbcbaccacabccabccabbccaaabbcacabbaaacbccbbcaaacaaacabccabcccccccaabbaaacbbcbbacabcbbbbacaabbbccbabacccabcbacaaccaaaaababccbacbacabbcbcabcaaaccbcccbaaaabccbbabaacbbacacbcbabbacaabbabbcbbaaccbcaacbbcbacabcabbccacbcaaabbccbcacbccbcbbcbbabcacbacccbaabaabbabbbbcabccbabacbcabcbbbbabbcbaabcbbcbabbaabbaaaacbcbbacbbabbaacacbcbbabcccbbacabcaabcacbaaaabbaacbbacccaccabacbabccbcbcabcacaccabbbcaacccbaaacccabbaccababbccbaabacabcbbaaaccabcabccabbaacaabbababbbacacacaabaaabccbbbacaacabbbbacbbbcccacbccabbccbbbabcababacaccabcaacbbcbacccccbbaacaaacbccabccaabcbacbccbacbabaacacbbbcaccbcaaccbccacccaaaaabcbcbccbaabcbccbababbcccabcbccacccbbbcbacaababcbaaccbbcccbcacabaababbccaaacaaacbcaacccacaaaaabccbbcbaabbccaacbbccbaaaaababbcccbcbcccbcbcccacccacaccaaaabaacbccbcacbacacbaabbccacaccaaaaccbcaaabbbbabcaabacaaccacabcacabbbbcccaccbcbcbbaabcabbabcbbccaacaabaabcccabcbbbcacccaaccacaccacbbacaabaabbcaabcaababbbabaaaacbbcccbabacabcacabcabbaabbbbcaacbaaabcbcccacabcbbbbabaaccaabbbcacaababbbbbabacbacbabbbabcbaccabcbbccbbbcbbaabcaacacacacbbabbabbcaaabacbaaccacacabbabbbaacbcbbcabcbccbaaaacaccbbcabccccababacbbaabbcabbaaaacccbcccbbabacbacbbacbbcababcbacacbacccccbcbabbbbababbbbcbcbbacabbbbbbaaabacbccbacaacbbabbababcabaacaabcacbaabaccccabcabcaccbaaabcaabcccacbbccaccbbbcbabaaabaaaabbccaaabaabbabaaabaccacbbcbbaaacaccabbbacbbacccacbcbaababaaacabbbcacabbcbcacaabcbbbaaaabcccaaacbacaacaababcccaababaabacbcbbabbcbbbccbccacbbccababbbbbaccbacacccbabccabacaccabaaabaacabaaaabaaaacbaccbbbbbaaaacbaaaaccaaccbbcaacbbbacbbbbabaccbbabbbbcbcacabcbbbbbcaccaccccbccbcccacabcbacbbcbacaaccacacaacabaccbbaaacabaaababcbaccbabaaaabbbcabbbccbbbaaacaaabbaccccababaabbaccabcbacbbccaacbacacacacccbbbbcbcabbacbbbcabcacababcbbbaabbacbbbccbbcccbcaaacacabaabaabcaacccbcbacaacaacaaabacaaacbcaaaaaacbcabcbcbcbaacaccccaaababcccabaacbcaabbbaabaccbabbccbbbaccabbabcaaacabaabbcacbaccaabaaaaaaacbacabccababbbbcaacabbbabaababcaacaccbbbbcbccacbacaacbcbbcabacbacbcaccbcccbaaacabbabbacabbbaccbbabbaacbacbcccabcababbbbbcaabacbbcacbbbbabccbaacbabcaacbbcababbcbcabbacaccaababbabaaaabbaaaabcbacbacbbccacaccacbbcbbbbaacaabbbbcccacaaaabbacbbbacbbaaaaacbccbacbcaabacababcacaaaccbbbbaaacbabbbbcabbbcbcaacbbacbacacbcccaccaabbcabaaacaabccbacbbcacbabbcbcbcabccbaaacaabccbacaacacbbabbcaacacacbcbaabbbbbaabccbacacccbbaaabbbbbaabcccbcabcbaccbbbabbcabcccacccaabbcccccccbccbcccbcccccbbcacacbbacbacbbccabccacaabbcccbbcacabaaaccabccbacbcaaccaaaacbacbbccacaaabcababcbbacccbabaacbbccbbcacbaacaacbbccabaabbcccaaacbccabcbcbaacbcaacbaaaaccaccacbabbbcbabacacbcabbaccccbbbaacbcbabbacbbccccacacbbacabcaaccaaaacbbacaacaacaacaccabbaaccbbacccaaccaacbacaacccbaaabcbbaaaacbabcbabbbaacbcbacbbbbbcbbbaacccacaaabacaccbacacccababcaacabbaabbcbbccccabcbcaaaaabbcbcaababbababccaabaabccbabccabccacccbccbaaaabbbcbabcaccaacaabbbabbccaccaaaacbbcacababbccacccaaabacabccbbaabbacccbbaaccbcbcbcacaacbbcabcacccccccabbcbbcabacbcacaabcaaabacbbcbcbcbcacbbcabccbacccaaacbacccababccbbcbabacbbabbaabbabaabcbcacbcaccbbcbcaacaacaabcabccbbaacbabacacaabccabccccaccbcbababcbaacccbbcacbacaacbbacbcbbbaccbcccbaabbacaacaabbabcbcbbcbbccbaabbbabbccbcccacbbcbabbbbbaabaabbcbcccabcbcccbaacacbbbacbbacbcbbacbbabacacccabbcabcacacbcaabbabbbacbabbcabaababbaccababcbaccaabcbccacccbccaccbbbacccbbbaaabbbcbcbcccccbcaaacaccbccbcaccbbcbbaccbacccbaaccacccbcbacabababcabaccccbbbbccaabacaacbaccaabaaccacbaaaccbacbcbabcbaaaccbcbabbccaaaaabbabababbaabcbcbabbacabcacbbcabcabbccccbbcbacbaaabacccbbcccbcbcbbcbbabbcbaaabbbbbbcacacbbabaaaaacbcaaacaaccabcaabbbaaacaacacaacbacaccbabbbbcccbbcaabacacbbaaaababbccccaaccbbabbcaacaabccccbcbbcbbaaccccaccacccabbbcbbcbccaccacbbabcbacccbbcabcbaaacbacacccbabcabbbbbaaccbbcacabcbaaacaabbbaabacaaccbaaabaccaabaaaacccbbabaccbacbacaaabcaacbbbbcabbbaacbcabacccbcaaaabbbbccbbbaaababccbccaccbabcbaacabcbbaabcbcbbaabbaaabcabaccbabaaaaabbaacaaabbbcabcbcabacaacbcbbaaabbabacbcaabcbcaccaabcaccbcbbbcbccccacaabaaabcbacbabbccaaacbbacbcbabccbbcaabbcaacabcaababababbbaacccbaabbacabcccbcbcacbbabaabcccbabccacaccababbabcbbacabaacccaacbabaaccacaabccbcaacaacaabababcbbbbcabacaaaabcabacccacbbbbabccacabaaccaacacaccccbbbcaaabacccbbcbccabcaccacbabbaabaaccaabbcccbbcbbccabcaaccbaacaacbcaaaaacbbcbaaaaaccabcacababcacbcccbbaccbbcacbaccaabbccbcbbccabbcbbcbcaacccacacbcbabcaaacccabbcbbccbcbcccbaaacabbccbbcaabbbccbbbcabbbbaaacacacaaaccabccbcabbcaacacacbcbbbaccbacbbabababcaababbabcbbaccbcaaaabaaaccbbbbbacbaababacaaaabacaabcbccccbcccabbcbbbbcbccacabbcaaacbbccbbcbabbbaaaabaccbaacbbcabacbbacbccaacbcbaaabbaaaabaabcaacaabbabbccbaacbbaccccbcacaccbbabcacaaacbabacccccccabbbaabbaccaaabacabaabcaabcccacccccbacaccaaabaaacabaaccccbbabbcaccacbcccbbcabacbcccccaaccabcbabacacababbaacbbabbcaacbbacccbcccbbabccacccbacaabcbbacaccabbababacbacabcccbbabcbaabacbaacbccbaabbabcbcaabbcccbcabbcbababccaabcabccbcacaccaabbbccaacccbabcbcbcbbaccbbaabaabcbbaaaabbcabccbbbbabcccabbcbaccacbccccbaaccaaaabcbabbbcbaccaabcabbbcbabbcbbccbaacbcccbcbcbabbbcabbbbccabbabaacaababccbbcccaabccaababbbcbaaabaccacacbbbbabcaaabbcccabbccccaaabbabcaabcacaabcaaacbcbabbbcacaabcacbccaccbabaabacabccaaabcacccabccaaccbbbaacbccabbaabcbabccbabbabcabbabacbaabbbcbcaacbbccabbaacaabacabcacbcacbcabacbabbbcccbccbbabacbaabcbcbbbbabacacacaccbaaaaabbbaabbcababaaacaacacaccbcbbaccbaccbcaabbccaaacabcbbbaccbbccabcbabaaaaacabbababbcbabcbccccbcaabaaabbccbbcbaaccbcccbbaabbabaccaaacaacabbcbccaacaacbbbbabbcccbbcabbcbabbbaacacabacabccccaaaccacccaccababababacbbccbaaabaabacabababccbcbcbcabaccacbbbbabcbcaaaccababacaabcbbbabccbacabcbcaabbbcbcccaccccacabbcaaabbccacbacccccabcaacbcaabcccbbbacccacacccccabccaaaaabbacaaacccaccbcbcaabcbbbccaacbacbccabbcbaccacbaabccccbaaaccbbacbbcbbccabcaabcbccccbbcbbbbacccbcbcbabbbbabaccbaaaacbccaacbbcbbcbcbbbbaaaacbabaacbbaaaccabbcacacaabcacabaabccabbcacaaababcaacabbbcaaaabacbcccaaabcbaabcabcbaccabaacabbabacbbbcaccbcbcbcccbacbcbbccccbcccbcaacaabcabcbcbcaaaabaacacbbbacaacbccbbbcacbababcabbbcacccaabcbacabbaabacaccacbacaabbccccabacaacbbccbaaabbcccbcbaaccccbbcacbabcbaacbbbbcacbcabbbbacacbbcabbbabccabbaacabaccbcbbaaccbcbbbcccbcaabacccbbbccbbcbbccbcaaaaaacaabaaaaacaaabbabcaabababaabaccbcabcbccbccabaacbbcaacaaccacaccaaabbbabacaaaabbbacaaaccbcaaccbbccccbcccbbbacccaaaababbcaacacacbbaabaaacacabbbaabbaaccacbaaacacaccabacbaacabcbbcabcbcabaaababaccbcacaaababbbbcbcababcbaccaacbcbacabbcaacbbcbabbaabaccccbcbccbbaccbbacbaaaacbbaaabacacaacbaaaccbccbcbcbcabaccbcbacbbbcbbacccabcbbbaccccbccbccabcbbaaacbbacccbcacacaaacbbbaaccaabccbaacaabbacabbacaabbbbbbcccbaababcbcacacaaabacaccbcacbaaacaccacbcaccaacacabcccbbcccbabaabaaacabcaabcccbcbacbbbccbbabbccabcacbbcbbbaccacccababbccccbaccbabcabccabbbccabbabbcaccabbaccccbcaaccaaabaccbaaaabcabaccccbaabaccaacabcacaccababbcccbabbcbbbaaaababbabbccbbabaaacaccabbabbaacbaabbbbacabcccbccaccaaaccacbacaacababacaacabcbccaaabaaabbccacabccabbccacabcbbaacababcabcabcccbbbabaccccabacbbcbcbabbacbccbcaaacaccaaccaccabbcaaaaaccbabacabacbcbacbacbccbacabcbccccccaaccccccababababaaccabbaaccacababacccbbbbabbcbbcaabbcbcabbcaabbabaaaabcacaabaccbbacacabbbabbccbcaacbcaabcbccacbcbcabbabbbacabbaaccbccccbbbbcbbbaacccaacacbbbcbaabcaabaaaaabbabbccacbcaacaabaabbbccababcaaabcbaaaacccabcbaabbbbabacccabbaaacacbaababacacccbbbacbaabbbacbcbcccbabaccaabaacccbaccbacaababccabbaacbababccaaaabaccaaaabcabbabbaaaabaababacaabaccbccccacccbaacbaaccabbacaaabcbbccbaabbbaabaabbbbbabacbbcbcaccaabaaabbcccacbccbbacacccbacaacbacacbbacccabccbcbacbabbccbccacabcacbccbbacabbacbcbabcbcbbbcacbcaabbcbabcbabbabbcababcbccccccababbbcbbabbbbaabaaaacabccbacaacbcbcccabaaacaabbabbcaaccaaacbaacacaacbcbacbcbbaccbbaabccaaaccbbbacbbcccabaaccaccbccbaaaaacbcbacaacbaabababccccaccabbabbbbcccbacabaaabccbbacbabbaaaabbaaacbcabaccbaccabbaaabbabbbcbaccbbbaccbbacabbbccacbcaabcabaaaccbababccbcaccaacbbbaabcbbccccabcbcaaaaaaabbcbbcababcabcacbccbbababcabcababccabbabcabcacbbbcacacacabccbbbcccbcbcbbcaccaacccbcaacbbaccabcabacbbaabcbbbabbacbcccaacccbaababccccbaaaaccbcaabaccbaabababacaaabcabcacaccaacabbabaaabccbccbbbabcbbabbabaaaacaaabbbacaaabaabbccbcaaabaaccccabacbccbbbacbcbccacabaacccccabacbcccaaacccbaabaabbabbbcbaccbabbcacbabbbbabaccaabbccabcabcababcbbaabcabaabbcbbbccacbaccccbbbcbaccaabcbbccaabbabaaccabbbcccbbacabbaccaccabbbbbbcabcbbbbbcbbcbcaaabcbcccacbccbaababcabcabacbcbaccbcbcbacbbbbcbcbaabbbbaccababaccacacaacbbcbbabbaaacacccababccaabccacabbcabaacbabbbbbcccccabbabcbccabcabccabccababcccbbbbacacccbaabcabacacbbaacaccaaababcbcabaaaccacaabacaabcbabaccccbbabcbbcaaaaababaaabaccccbaaacaccbcabaccabbabcabacbaabababbbcbaacaaabababacaccbaccbbccbbcbcbaccccabcccaaaabbcbabcaabcbabbcacbcbbcaaaaabccbbcaaccbbcbcacabccbaabbbcbaccbaacccaccccaabbabcbaacabaccbccbbbbabacaabaccaaacababcaacacbbababacbacccbbaccbaaacacccccaccccbbbabacbccaccbaccbabbcacbabbbcbbcababcaacbbbbbaabbcbbbabbacabacccbcaaacbbcababcaacbaacacbaacbcccaaccbabaabababccaccbcacbbcbbbcaaaacabcabaabcccaaacccacababbaccaabbcbacbbcacabcccbabbbabcccbccaabaaabcccaacbabbacbcbaccacbaaccbbacbcabbcaabaccaaacccbcbaacbabacabbbcacccccacbccbabbcacccaabaabbbacaaabcbbaabaacbabbabaaabcaaccaabbababcccbcbcbcbcacabcbcbccabcabaaaaaabccababaabccccaccbbaccbbaaacacbacbacbaacbccacbbbaaacaacaabbcbbcacabaabaccaabbaacbcabcbbcbbcbccaaaccaaacbbbacccbbcbccbcbcbcbcabaabbacbbababbacacbbcbcccbaabccaabcbabbcccbccaaccbcbaacacbbabbbcbaabcaaccacbabcacaccabbbcbcbacbbcbbbccacbabccaacabcbabcbbbcaaaabacabbabbbacbbaababcccbabcabccacbbaccccccabccbcabbabaccbbcacbabacbccbbcacabcbcbcacaacacbcacbbcacbcbaaaaacbbbacaabacbcccbababbababbbcbaabaabcacbccbbbcbbbaaccbabbccacbccccacabcaaaaabbacbabbaacaaabbcbbabbbacaabaacaacabbcaccbbbbcbcbaabcacbcbcbabcbccabcaabbccbbbbaaaccbabcabccbcbbcbcabcacacabaaaacbacaaaabbbccccaccbaccbbcbbcbccbbbbacabcbcacbccbaababbbabaccabcaabbaacabcbcbbabbabbbcacabbacacbbcbbabbabababcaacbabccabcaaacbbaabbbababcbccbabcbccaabbbbcccaaacbcbacbaaccaabcabacbbacbabcabbaababccabbcaaabcbccbacbbaccabaccbbcacbaccbaaacabbbbbcabcbbbccbccabccccacbcbabccacccbcabacbcbcaabaccbcbbcbacccacbcacbbacccaababcaaababcaabbaccbacabcbbcaacbccacabbcbbacbbbaacbacbabcccbaaccabcbbcaabbabbabccabacbbccaacbacaababacbacaabbaabbccbbabaaacbbbababcbcbbbbacaaaccbaabaabbccbacaaabbabbaabcbcacaababcbbababbbcbcacbaabacacbbaabccbacaaacbabbababbcbbbbabcaaacabababbcbcacaaabcbababccacbbcbcababcaabbcabbacaabbcbcbcaccbcccbcaccaaaaccabbabaacbbbbbcacbcccbabbcaccbcaabccabbaaababaacbcbcbacabcccabbabccbbcccccbbacccbaaabbaacbbcacbbbbabacaccacbcabaaacbcbcbbaabaaaccbccccaccaaacbbbacbcccabbcabaabcabacaccaaccacbbbbabbccaaaacbacbbacaaaabcbbcbccbbbcbacbbbcbbcbabcaacbbbaabcaababcbccbcbbcacbccbbcbcaabcacacbcbcccbbcccbaaccaaccacbbbbcaabcbbcaabacbcabbabbabccaacacccbbabababbaabacbbbaaccbcabaaabaaacccccbbaaabaaaabcccbcbaacacbccbaabaaccbbbbccacbcaaabbbacbacaabcbbcacbcccaacccbcabbabaaabacccbacabbaaccacaabaaacaaabaabacababaccaacaaaccbaabacbccabccabaaaccbababcbabccbbaaacccaabaaacbccaaabccbcbbcbcccaaaabbabcaacccaaaccabcaacaaabacbacacabcaaccbccbacbabbbacccbcbbabbbbabbcbbabaabcabaaabbccbaccbccbacaaccbabbbcaccaccaababbaccbcbbcbbbaabacbbacabbabbbcabbaccaccbacabbbbabcabcbacabcbccbacccbcbcbcacbcbcccbcaacabbcbaccaaacccaaaacbaccbaccabbcccacccbcbbcbabccabbcacaabacbcccacabbccbaaccbbcbaabccababaccbccacaccacbaacabaaaabbaccbabccacacaaacccbccbbcbcabbabccbcabccabbbbcbabccbccbbbabbabacbbbcacbbabbaaaacacacababccbcaccbbbcbaaccbcabbaaaabcbccccabbabbcccabcbabaabccacbaabbbcbacacacbcbaaacacbcabccbbaabababcacccbcbcbbbabcbbbbccabaccbbbbaccaccbbaccccabcabcabbccaabccaaaaccbabcacacabccaabbaabccbbcacababaabbbacbccccbbacbbbaabccbbbbcabbbbbbacbcbbcbaabbbabbbbabaacaacbbbabbaaaabcccbacaabbccacccbbccabbacbcabcaabaacbbbbcbbcccbbabbcaacbaacbabbcaaccbbaaabcacccbcbcbbabbbccacabacbaaccaaabcaaccbacbcbccbacbabcabbcabacabaabbacbacbbacccbaaaaacbbaabacbbbaaccccaccbcbababcbccbababaacabbbaabcbbbcabaaaccccbbcbbcaacabcbbbcacacacbccbacbcbcbabbbabacabaaabaabcbccabcccbbccbbbbbaaaccccabccbcbbacbcabbababbcbcccccabaabbabccbcaaabbcaaabbaabbaacbcccbaabababbabacccaaaccaccbaabccbbaaaccbcbccccaabbcacbccbcabacbccaaacbabccaaabbccbccccbbcaacbccaabccbcccabcabbabcbaaccbbbbacabcaabccbbcbabbccccbbaccbbabbcaacabcbbaaabccbabacacbaabbabcaaccaccbbcaccbbbaabbaaababcbbaaaaaaacbabbaabbbabaccacacbacbabccccabbbcaacabaabacabbbaabcaaaccbabacbcabcbcaabcbbaccccbaabccbbababaabbbbbcbbcabaababaabccccbbbbacaabccacaaacaabbcbccbaaacaccbaabbbbbcacacaccbabcaaaccabbcbcaaaaacacbacbccabacccaacbbabacbaaacbcababaabbccaaacbcccabbbcaabbaaaacbcbaaccabbbbaaabbacacacabbcaacbbaaabcabbbcbcccccbbbcbcccbacccccbbaacbbacabcbabcaacaccccaabcbaacccbcbabccbacbbbbaacaabacacacccaaaaabccacbbbbbbccaaaaaacccaacbcccbabbaccaabbabbbaaacbccccbabcbacbbcacaacccccbaacbbcbbacbbcbcbcacccbbacbcabbcbbcbbacbbbbbcaccbacabacbcbcccbaacabbaacacbbbcccbcbcaccacbbabcaaaaaccacbccbcccbbccacbccacacabcabccaacacbbbbaabbbbbcbbbaacaaabbbcbcaccccbbababbbccbacbccacbbcccccaaacbbbaabababbcbaabacaaaabacbcaaaaacacbccbaaacccbababbabcbacaccccaacbacacbbccaaacbccacbaccbbbaacccabbcacbcabbbcaabbaabacacabbaabaccbabccbaacaaabbcbabcbababbccacbacccaabbcabbaaabbbcaaabbaaaabcaaccbabccbacbcabcbbcbcbababaaacaababaababbbbacbaaabccbbababacaaaccccbcbcabccbcbccccabaabbacbaccaaacabaabacabcbcccaacaaaccabbbcacabacaabbbacacacbbcccccaacbacbccbbbbabacbbccbabaabcaabbacbccbaaacbacbbccbacbcbcaaccaccacbbaabaaacccabbbbbcacbacacabccacaccbcccabcbbabbabcbcbababacbaacbcbabaaaccbbbbaaabbaaaccbbbbcabcacaaacaabccacacbcacccbccabbaaacabaccaababccaccccacaacbaabaabccababcaccacababaaaccacbbbbbabbcabcccbaaabaccbabbaccacabcaaacbbccbbbbcbbcbabcbaabaabcbbbcabbbabcccbbbbbacbabbacaabcbcbbbaabbcbbcbababccbacbbcaaaacbbccbcbabaccbbacbcbcaccbccbaccbbabcaabcccbbbcacaabccccbabbcbabbabbbcbacbbcaabbcacabbacaacaaccabaaaccaabbcabbbcacaabbabccbabcaacbcacbacaabcbabcabbabccbcacabbbcacbccaccacacccacbcabbccaaacaaabaccacbacccbacabaaacbcbbccabcababbcbbcaaabccbbabacacabacbcabacccccbbcccccbbaaccbccabccaaabcabcabbaaccbbcaccbcaabaabbacbbbcabbbaacbbccbcbcabbbcabbaaacaccccbccccaaaccaabcbcbbbccaabbbccbaacbabccbcccaaaaacbcbbcbabbaaacababcbccabcbbabababccaacacbcbabbbbaccaabccabaacbcbcbabbbacbcbbaccaaacccabcacaaabccccaaabbcabcaabbccabcaabcaacbcbbcbaacacbbaaccaaccbaacccacbcbcbaaabbccacbabccabacbcbbabcccbbaacbaccbcbccacbcbccbcbcacababaccabccbaaaaacaccbabbbcbbabcacbbacaaccbaaccbbaaacbbabcabaacbabaaacccbccccccacbacbaacacaaaaacacabcbbcbbacbbaabababccacbacccacacababacbbaabcccccaaccacbbcbbbabcbcaccacaccaaccbaaacaccbbccbacabcbbacaacabbcbccaccbaaaabaacbaacbaaacccabcbabcbabbbbabaaaabbccacbcbaaacbacabbbcaabcbabccabcbcaabaacaabbcccacabaaacaabaacbaabcbbabbcbacacbacacaabcbbccccbbcacbcaccbabcababbcbbabbababaaaaacbaabcaacaacccbacaaabacbbbccaaccbabaaccaabbbbccbaaccbccccacaabaaacbcbcaaccbabaccacbaacabbcbacbccbacaccbbabbabbcbbaaaaccabccbabbccbcbbccbacabbccababbaacaacbcaccccbbcaccabbbaacababbcbcbbbaaabcbcbaacababcaccabcaccbbbabcaaabccbbcbcbaabaacacccbbbaabcabbabbacaacbcbaccaaaaabacbbbaabbaacbbbcccacccbbbcabaaabaabbbabcbaabccabacacbbbabcbbabbccbacbcaccabbbbccbcbccbbcbaccccaccaaccaabaaabccacababaabcccaabcbbcacaaaacbcccaabbacbccbccacbacbbcbcccbabcaccbbbaaccaacbcbaccacccbccacbaccccabacabbcabcaaacbaaabccbaaaccaaaabbcaaccacbbcbbbccacccbcbcaccbbacbcbbcaabcbaaabcabbcaabaabbcabcbcccbccbcbbbaacbcccccababcabcbabccbabbbcabacacacabcaababbcabbabccacaaaabababacaacbacbcbcbabbbabbaaaccbcabcababcaaaccabaabaacbccaabbcaaacccabbaabcabbcbcacbababccbaacacbcbcccabbabbccabcaacbacbacaabbacaacbbbabacaabbbabacbccabababcbbaabacccccbcaaccbccccaaaccacccbcccbbccbaabcbbbacbccbcabbabaccaabbacabcccaabcbcaaacbabbbbaaaabccaccacabbabbbbccbacacbcababcbcaaaabbbacbbbcbbabbaccaabbabacacabccabbbbabaacabcccaaaabbbbbabcbbccacacaccabcbaccabbbbcccbcbcccbbbabacbabcaabaaaaccacacaccbbcabbacbbbaccaaabcccacaaacacbbabccbcbcbcbacbabbbacbcbbaaaaacbbbbbbacbabaabbabbccccbbabcaabaabcabbbbcabbacbbbccbbcbbaabbbccbcbacaccababbccabaabcbbcbbbabbcbcaaccbbbacbbccacbbbcbcbbabcacbaaacacbaacaaccbbbbaaacccbcaacbcbccbacbbbccbbcabcbbbaabbcbabccbcacacbcbbabaabacbcacccccbabbcaaaaacccacccbabacccbbbbabcabccacbbccaabccacbbabbbabbcaaabcbbacbcccacacabacaabcccabaaababababcbbaabcaaabccbcbcaccccbcbcbabccbabbaaacbccaacbbbbccacbcbbaabcacbcbcbbcbbaabcbaabcabccbcaccccaaacbabbcbbbacbaabcacaccbbcaccabcabacbaccbabbbacbcbbacccccbcbcaacabaccacbacbabbabcbccccccccbcbbccbbbcbaaacbccbcbabaccacbabcccaaababbbabaaaaaccacaaabbcabaabbbbcabcabbabbaacacbabccaccccacaacaabbabcbcbcaacaacbbbacaaabbabaccbcaabaccbcabcaabbcaaacbababccabbbcaccbabbcaabcbbaabaaccccaaaabbabbabaacababacaabbbccbaacbaaaaaccbabbcbaaaacabbcccaccaababbbcaaacacaccacabaaacacacbaccbbcbacaacaacbcaaaabcbbbbaacbabbbaccbbbbbacbbbccbccbababcbbbcbcbbbcccaacaaaacbbbabcbaabbbaacccbbbaccccabbbaaccbababbcccaccbacaacccacacaabccacaccbcbcacbaacbabcabbacccacacbabcbbbbbabbbcbbbcabcbabcabcbcbbacacbcccccabbbacbbaccbacbcacbbccccccabaaacacccbbcbcbabbbcaabbbaabcccbcbbbcaacbacabbcabbbacaaabccbaabaaccaabaabacccbaabaaccbacccacabbbbcacaacbbcaaccacbcacacbacbabaccbaaacacabbbccabcaccaacccbacaabcacabccabacbcacbacbbbabaccabaacababcccccabbabcbabccccbcaabbbbbcabaaabacbacaacbbbaccbcbcbaaaacbbccbcbccabbbcbcacbaccacacaaccabacbabcbbabccabbacbaaccabcbccbabacccabbbabacbaaabaababcacbbcacacaccbbccaaabaaaacbccabcbccbacbbcbaacaacbbbaababbcbacacababcabcbbcbccbcaaacbbcccabaccacccbccbcacbacccbaaaabbbcccabcbcbbacbabbcccacbbbaaacbacabaacaaacbaaacaaccaabbaabccacbcccbbaabbaaaacaaccabcaabcaaabcabbaaacbaacaaccccbacbacacaaaababcbccaacbabbabbcccacaccabcaccccabcbaaabbacacaabbcaccaccbbabacaccccabbcbbbcabacabacbbabccbababbabbabcccabacaabaabcbcaabababbbbbcbbaabaabbacaaabbbbbbcaccabbbbccbcccabbbbabaaccabcccaaaabacabccbccaaabbaabacacacbacbabccacbaccbcaaacabcbbccabacbbcbaacbcbacbccccccbccaacbabbbcaacbbaaaacacbbcabccabbbaacaaccbabbbcaaaabbcaaccccbcbcbbcbbccbaaabcabaabccbaaacaaabaacccaabcccabbacaabcbaabccaccbaccbabacabcaccbbccaabbbbbcbbbbaabcbcabaccccaaccccabcbbcaabaaabcababbacabbbcacbabbcaaacaabccbbbaabaccaabcacccabbcbbcacabbaabcbababaabcccbabbcaaaaaccabbcaaabccabbacacabacacccaccbacbbbbbccbaabcccccbcbbcccbbbccacabaaacbcabcaabbbbaaaaaccaabcacabbacbcbbccbaacbbbcabbbbababcbaabbbcaabaacaaacbbabacbbaababccbbbbcbbbbbcbbbbbbbcbacaccbbaaabccaabacbcabaaccbacaabacabaacaaaacbbaaaacccbcbcbabcaaaacaabbccbabcaacacaaccbcbcabbbcccbcabbcacbbbbbbcbaacbbaaaccbabbbccaaabcaccbaacbaaaccbaaacccbaccbcbcbbbbabcabbcabccaacabcaaaaaccacbbaaaaababccabacaabbcbacaacbccccabaccacbccccbcbbacaabcbbbbaacbacbcccccbababcacaabccacccaaaabbcacbbcbcacbaaccbbcbccccababaabbbcaccbabbcccacaccaccabcabaccacccacabbbbaaacacccbbbcabcaaabaacacaaabbacabbbcbcbbaabbbcacbcbabbacabaacbabbabcabbabaaccccbbaacbabccbcabcaacacbbbcaaacbabaabbabcaabbaccbcabcabbcbaabcbcbbacaacaacaaccaccacccabaacbcccbaaabcccacbbccabacbbabccabbcabbcbcabbbcbabbcbabccccbcbaaabcabbacbaaabcccaaaaacacacbaaccbcbcbaabccbcaccbbcaacbccbbbccaccbbbaaacaacbbbabcabbaacaccbacbcbabacabbcabbbbcbacbbabcaaacaabbcaaacbaccbcbabbbababbbabccabccacbbcccbbacaccccaacabacccacbaaacbacaccabcaabacabcbbabcbacabccbbbbbabaccaabbbbabcccaacbaaaaabcbcbccaacaacaacbcabcaabbaaaabcaacbbaaaababcccbccccabccbcacbbaababccbbabcccbccacabcabbcacccaacaacabaacccbabaababaabaababcbabbaccbbbaacccbbbaaacaccbcbacacbbabbbcaacccbccbaacabcbbccacabbaabacbcbccacaaaacbccccacaaccaacbccccbbcbcaaaababbcbacabaaaaababaaacbababcccbcccacabacacaaabbabcbabaaccbacbabbbabbcabcbbacaccbbaacacabcbcbbbcabaacbacabacaabcbbabacacbaccaccbbcabbcacacabbbccccbbaacababcaccacabcbbbbaaaaabbcccccccabaabcbcccababcbbabacabbbaaaaccaccabbbcccaccaabccbabcbcbcbbaacbbccccbacaccabbcccbcaaccccbabcbaaabaccbcbbbcacbcbaccbabaabaacaaaababacaabaaabcacaacbcabbbaacbcabaaccacacbbbbbcabcbaacbacbaaaaccbabcacccbaccabbbabbccacaacccabaacccaabbcbbbbbbbbbbcccacacbbaacaacabcabcabacbcacababcabbaccccaccbbbcbbcbababcccccbcaaccaccaabaabcbcbccaaacbccacacaababcabcacbbabcaaabcccbcaabcccacaabccbbbaaacbcaabaccccccbcccbabacacbacbcccbbaacccaacaabacbbbbcaabaabbaacbacccacbabbbabaababbcccacaacacbcbbccacaacacbcbbaaccccbbbcacbccababbccacbaabcccccbccacccacacbacbacbaacaabcccaccabbaaccabbcbccaccacccabbbabcacababbbcabaccbbbcabcccbbababbccacccbcbbabccacbcbcbcccacabbcaaabbbbacacbabbacabcaabbbbaacbaacacacabbbbbccacabaaabbcbcccacaabbcaccbccbbacbccbccbbbababaccbabbacbcabbcabababacbaabbcbaaabbbccaabaccacbbcccbabbacacaccbcbbccabbbccabaccbabcbbabcacbcbbbccaaacbccabbaabbbcbbbacbbbaccbbbcbabbbcbcabbcccabacabccabaccbbaaaacacabbacaccacbcacbabacaabacbbacccaaaacaabcccbbabbcbacacabcaacbaaaccacbccbccacacaacabcacccacacbacbababaababcccabcacacbaaccbaababbbaacabaccaabcacbbcbbacbbacbccbaaaacccccccabcaaaacabbbbcccabbabcaaabcbaccabacbcbccbbbaababcacbbbacaaaacbbbaaaaaaacacabcaaaaabbbcccabbccbabaccccbccbaabcaabbbaabcbcbcbbbbaabbcbbacabcaabbacbbabacbabaacbabcaaabccbcbaaacbccacccbacbbbabbbbabaababbaccbcbabcaabcabbcbccbaacacabaccaacabcbabacccccacaabbbccbbbaaababaccabcbcbcaabbccababbbaacbbacbcccaccacbcbbcccabcbabbaaacaabbaaaccbbccbabacbbcacacacccbbacccbacacbaaabaacbccacbbbcbcaccacbaaababbbbacacaaaccacaaababcabccaaabaabbcabacacabccccbbccbababccccacbbccaaaabbaaabbabcabcaacbbacbaccbbacacbbacaabbbccaaaacbaaabbcaaaacabccabaabbcbacccbccbacbbabcbcbccbbbacaabccacbacccbcccabcbbbacaccccbbaccacbcacbccacbbccbaacbcabbcaaacaacbbcaccbabbaacbacabbbbcccaaabcaacacabaacabaabbababbcaccccbbbaaaaabcbccaabbaaccbcabbcaacbcccbbbccabbaabbcbbbcbacacaabcbacbccacbababcbacacbbcaaccbbabbbaccabbacbcbcbcabcacbbbacccaaccacaaccababcacbaabbcababcabbacbbcccbabccaacabacbcbbcabbacbaabbccccccacacbcabcbcbaaaacbcbbabbcccbbbccbcbbbaabaaacbbabbcbbbcaccbacbaaabcccabcacbaaacbabaccaaaaabcaabbaccccbbabbcaccbcabbbbbbcaccbcccbabccbccaabccccacacbbcccaacacabcaccbababacbbccbbbabaaaccbabcaacbaaacbcbabbbcaaacaacabcacaaccbccbbccbcbbcacabaacbccbbccbbabbccbbbcaccacaaabccbccaaaaabaaabcbacbabccabbbbccccabaaaccbabbacacbcabcbcbbacbabaacbcabaccbcaaacaabbcbcabbbcaccaabcbbbcaabbaacaacccaabcabcacbbbcbcccbaaabbccbacbbababcccbbbaabaabcbaabbaaccccabcccccbcbbacbacbaaaabaaacbccaabaabcacaaaabacbcbaabcacbabaaacaaabaccababccccbcbbcabbcbaaaccbababbabbbcabbbaabccbcbaabaacbcaccccabcbacbcccabcaaababcaacaaaabccaababbcabcaacbbbaabbabaccaaaaacbacacaaabbababcabccabcabbaccbbaaccbacbaaaaacccabbabcabaccbbccaabbbbcbabbbcbaaabaacbcacacbccaaaabcabbbbacccabcabaacbcaaabbcaccbccbcbaaabbcccbaaacbbaaacbbcaabccacbaaacbaccbbccccaacbabbacbaaacaabbbcccccaabaaccacaaabbbbcbbbaccbbbbcaabcaaaccaaabaabbacbacbbccabccbbbaccbbbcbbcbbbbaabcabacabbbcacabbcbcbaabcbbbaababccbbabcabcbbccbbcbcbccbcbbbbbabcacabacbabcacaabcacbabaabacacacbbbccaacbcbcabccabccbccabaacacbababbccbacccabbbcaaabcbcabcaacbabccbacaaccbbbaacbbbacbbccbbbbcaabcccacaabbbbacacabacbcbcbabaabcbbbbccbacbcbcbcbcaacbcaacbaaacccababaabbbccbbbaccbaaaaabcacacbacbbccbbcacacbaaaccbbbbccbcabccbaaaacbccbabbbaabacbccbbccaacbcacbacaccaccaacacaacccbbbacbcaccababaacabbbbbbbaacabacbabccacbaabaacccbbaccbccbabbabbbbcbbcaaabbbbbcacacaccccccbbbccaaaaaabbcabccbcbaccbcacbbcbcaccabcccbcabbccbcbabbaababbbbccaabccaacacababaaabbcaabaccaaaaacbbccacbccabbacbacabbacabbaabacbcabbbbbbccaccabbccbacbbbcacbacbababcbacaabbabcccaabbcaccccbacaacbbbbcbbcabababbaaccabbacabbaabcaacacbaccaccaabcbabaaacbaccbbbbabbaccbacbabacaaaacbbccbabcaccbbcbcccbbacbcbcccaabcbbaccabcbbcabaababacbbaaababaaaaaacaaccbcaccbcbaabcaaccbcaabcbacbbaccbaccbaabababbbbcaccaaaccbccccccbbcacabcacbbacbacbbbbcbcbbbbcbabbcaccababaccbbacacccaccbcccabcabababbabbccababbaccbcabcaaabbbacbbcbabcbabccbbaccaacccbacaccaabcbacbabaabbaabaaaaabaccabbbccbabacabcbacaccccbacccbcabccccaacabbcabbcabbabaaacacacbacbcaccaababcaabacbaaacccbabcbbcbcbbcbaacbcabbacacbcbbcaacabbbbacacbbcabcacbababbabbaacacacbccabaaabbabcacaabccabbacabcbcbcbabacccbbababccaccabbbcabbaaacbbcbabcacaaaaabcbbabcbacbaacbccaccbaccbabcaababbabbbaaabaabcacaccbcacbcccbbcbbccccabaaaccacbbbacbbbbaaacabababcbacbcabbabcabaababbccaabacabaccbabaaacabacbaabcbccbbbaaaaccacccaaccccbbcacccbcbacaababaabbcbabbcccacbbbbccccbabbccbabacccabcaacbabcbccbcaacacaaabcabababcacacaabbbaccaacbccabcbaacbbcaaacbabacaaccabcabccbbaccacabbccbbaccbacaaaacbcbcabccbabbcaababcabaababbacbbbabacbbbcabcbaccbccccbbcbbaaccbabbbbccbbbcbbbcaacbaaacaccaacbcabbbcaccabbaccbcbcbcaaccccbbbcacbaccbccaaacbcaabccbbbacbbabacbcbcbabaccbacabbabbaaaaacabbaacbcabbaacbbacacaccbaccbcaaccccbcaccacabbcaaacaaccaabccaabababcbbacbbaccacbaabcabcaacbaccccbacaacbccbccacbabbcbccbaccaaababcbcbcaaabacabbbccbcbccbbbcaccacababaaaaabcaababbbbcccabacacacbbabccbabbaacbcbbaaccbaaccacbaaccbcccbbaaabbcbcabacbbbccbcbbabbcbcbcacabbbaaaabbcaaaacbbabacbccbaaaacabaaaaabbbcabcbabacbccccaacaccbbbbcabaaaaccaaaaacbacbaaaaaccabcaacabcccbaccacabbabcbcaabbcaabcbaccacccbcaacbccccbabaabcaaaabbcaacbaaacbcabbbcacbcacabcbcccbbbcbaaaacbbccccacbaabccbaacaabaaabacabcccaaacaacbbacccabccbcaacbbcaccaccbaaccbcaabccacbcbbbabcbbbcacabaacaccccabcacaaaccccacbccabbacbacaaabcaccaacaaabbcbbabbbccbcbbcccacbcbbccccccabcaaaccbbbbbbabbbbccbacbcbbcabcbccccacacabbcbaaccbbccbcabacacacbaabbcbcaacbababbcbbcbbaacbaaccbacbbaaabacbbaaccbaacbcbaaccbbcacacacabbbacacaacaccbabbaabbabccbbcacabbccbccacbbacaaccbacaaaacbbaaaacbabbacaababaccaccbaabbaaaaaccaacbccaacbbcbccbbabcaaabbabbbbabcabcbcbcbbccbabcbbaaaacbbabbbaaaacbaacbaaabbaabcbaaaabcbabbaabcacaaaabababcacaaccabaaabcccbbbcabaabcbcaccbbcbcbcbbcabcaaccabbccbcabcbccacccbabaccbacccabcbaaacaabacbccabcbabcabacaaaccaabababcaaccccbaacccbbcbcaacbcbcaabcaacacbabacbcccabacaacccaaaabababbcbbcbcbcbbbbbaabbcbbbacccaccabccbabacababcbacbcacabbacbccccaccbcbabbcabcacaccacccccbabbccacbbcaccbbaaccaabbcacaacbcbbcccbcbcbacbbbcccaccbccacababccacabbcacaaabcacbabbbaabbbaabcccbbbbbbccacabcabacbcbccbbcccbaabbbcccbabbacbbccaacbbcbccbbbacababaccaabcaacacaaccbcbcbcaccbacbbababacabccbacaccbacabacacaabcacbcccbbcabbbaabccacbbbbbbbccaabbaaacabcaaaacbcccacbcbabbbaabacaabbabcbccabaacbcbbaaabacbbbbbaabbcbaacbbaaccbccbccbbccccbbbaaabbbccbcaabbcbcbbcccccbabbccbbabacbbaaabcbcbccbabbabaaacbcbbbbbccaaacaabaabacbbbcbabcbbaccccaaaaabcacbcbacbcbaccccaccaacbccaacccacbcbbbacaccccccaaccabcbcbaacabbbbcbbbbacacbcccaaabbcccbccbcabccbacabbcacbacaaabbacabcbacbccbcbbbbabaaabbbaaccbccbcacccabacaaacbbbcbaaaacbcabccaaabcccbaaaabcbbccbccabacaabbccabcaccccbccbcbcaacbccacbcbbcbaacccbcbcabbbabbaccbcbcbacbabbacccbaabcbbabcacbacbcccacbbcaacbbbcacaccbcaabcbaabbbaacccbbccabcbbcbbacabaaaccbbbaccaabcbbacbbbbbbcaabcabbbaaccabcccbabaababcbcbaccbbacccabacbcccababbaccaabababaaaaababbbcabcababbcabcbaabcccbbaaaacccbaaccabbabcbbaacbccabbbbcaccabcacccccccabccbcccabbbacabccbcbbcccbccacbcaaababbbbbbcbcbabcccbcbcabcbbbbbabbcaaaaaaccaccaabbcacaabacbbcbbacacbabbaccccbbbbbbacaabaaabcaabcbccccbbcaacbabcbabaaaaacabccaccaababbbaccbaccbbcacbcbbaabcbccbbbbbbcbabccabccacacacaaaabbbbccbaccbcabbaccccacbacacaabccacaaaabbaccccbcbbbabbcaabcacaccbcaabbabbbaacccaaacbaaaaabaacaabccbabaccbcabcbbbaacbbbcbcbbacbbbccaacbaaacaacbcbcbccccbbbabbccbaaaccbabccacaaaaabbcbcbcabcaacbbbccaacbcaabbabcbbacaccacbbbccbbaacababcbabacbacccaaaaccaacbbaaacacaaacaabbbaabbacacbbbaaaabcaabbaabcaabcbabbacbbbacabacbaccacbbcbabbbbbcbaaccabbacccbbbabbaabbbaacbaaaaabccacbabcbbaacacacacbccbccacaaccacaccaaaabbaabaabbacabbaabbccaabaaaaacbaababacababbcababcbaacaabaabcaccaaaaacaabcaaaaacbbccaabbaccaaacacabbcccabaaacbabccbcccbabaaacbcbbbbaaacaccccbccabaccaabbbbbbbacbbaacbcaaaacaaacbbccbbccbbbcaaaccbccaabaabbabbbbccabcbababcabcacccbaabcaacabcbaccabcbcbbcccabcabacacaaccaaabbbbcaacacacacaaaaaacacacacccaacbabcbcaabbcacaccaaccbbbacccbbcccbbaabaccccbabbaabaccbcacccabacbcbcabbcccbbbbbaaacacbaaabccbaaabcccccaccabbcbbaccbacbbacaacbccccbccbaacaaacaabaaccbabacacbabccacccbbaacccccabbcabbccbbbaaaaaacabcbaaaccbbbbbbbbaaacbabbaacacbbccabcaccbbcaaaaaaacabbbaaacbbcbaccbccccbcccacccbbccacacbbcbcbbaabcaaaabcbccbbcccaabaacbbcacabccbbbbbcbbbabababccccccbacacabbaabbcaaabaabbbbabaaaaaabcabacacababbaaaaacbcacccaccbacaaccbaabbbccbbbacccaabcaaaccaaacabcbaacacabbcabacbabcbabcacbacaaacacccbcccaabccabbabbacccbabbbacbcccccbbccabcbbbcaabccbabccabcbccbccacabbacacacbaaaccbbbbcacbbcaabbbbbababbacbbacacccaccabaccaaaaabacbbbbacacccbcbabcabbcaabaacbacbcaacacbaaacabccabccbabaacbbbaccbcabccbacaacbbbcccbbbccaabaacbccababacabbbcacbabaaccbbcbbabbabbbaaccbaaaaaaccaccacabcababcbbabaccbccacaccbaccabbccbcbcccbccbccbcaccaccbbccacaccbacabcacbabccccccccaabbabbaacabcbcabacccacbbccccbbccbcacccccababaabbccacaacbabcaccbabacbbcacbbabbaaaacaccccccabababaaacbaaaaabaabaaacbbacbabbbbcabaabcbacaabbacaaaacaabbcbcbacabcbcbbbacaacbacccbccbbccaaabbbaacbabcccbabbcccbccbbbaccabccacacacbaacbbbbccaacbaacabbbacabcccaabbcbcaaccbbcbbabaacaacbbbbcbccacbabacbcabcccaacaacbcbacacbcccbabacabacabacbcbaabcccacccacaabbbaacaaaacbcabbaacbbabaccbacbbaaacbccbbbcaccabbbcbbbabbcacabcccbaccbccbcaccbbaaccbabaaaaabbbababccbbcbbbcbcabaacaaccabcacccccbaabacaaaaccaaccacccbabbbaacccbbaaacccbbabbbcbaaacaacabcaaacababcbbcabcabaacababaabaacccbbbbcabaabbccaababcbcbcbaaabaabbbbcccbabcaccabcbccbbcbccbcabcbacbcbacbcbacbabaabcbbcaabbccabababbbbaaccbccababbbacabccbabcbbcabcccabaacbabbbabbabccacbcbcccbbcabccccbbccacccacabcccacbbbbbaacaabbabcbbccbcccacabbccaccbcacbbbccbabbbacbcbbbcabcbacbababcccbaabaaccbcacacabacabbababbabaabcbbcccccacacccabcaacbabbaaaccbcaccabccbaacbcbaccacacbccccccaccabbaabbcbbacabbbccbababcbaaaccbbcabbbcbccbabcbcacbccaabbacacbbcccbbaabbcccccbcccbabaaaaabccaaacbbbbbcacbbcacbcbcbbacaacccbbbabbcbaaacbaaabcbcbbacbbbbacbccaaacbbcccbcbcbccccbbcbacccbacaaaaaabacacbbbaabcbcccbaaccaacbccaaccaaccabbbabccccbbacbcabbaaccbcacaabacbbacabbacccbcaaabbbcbacabbabacccbabcacbacbcbaccaaaccbabcabcbaacababbccababbaccbcabbccaabaaaacbcbbbbacccabbaacacabcbbaccbbbbccbbccbaaacbcbcbbcbbcabcbcacbcbbaccbabaccaabcbabacacccccbccccccaacccbcbabbcccbbcbaaaabcaabcabbcbbbcaabbcaaccacbcbcbbaccccbbcaacabbacaaaaabcabcabaababacbbcbabcacaacaaabaababbbbbcacaacbcacbaacbbaacaaabbcbcbabcaacbbbcccbbcaacbaccacaaaccbccccaaaabcbaabcacaacaabcabbbbbcaabbbcbbcbcacbccaabcbaabbabbcaabbacabbacbccbcbcbcbcbacbbbabacabbbcbaaaabcbcacaaaabcbaaacacabbacbabcbbcbacaabcbaaccbacbcccacccbacabcaaabcbabbaacbcbcbbccbccaccbcbabaccbacaacbbaacaabbbaabababccbbbbaacababbcaaaacbaabaaabbbaacbaaccababbacaabbababababaaaabbbccbacccaaccbbccacbbbaaaaabacabbaccacbabaccaaacababcaaacabbbcabaaaaabbbbccccabbccccbccbaaacbcaaababbbcbaaacacbbbababbbababcbbaabbcbccbacbbaaacbbbcaacacbbccbbbcbccaabcaccbaaabbaaacabcaabaaccbbabbabccbabcccbbbbcbbcaaacbcacaabacbbacaccccbbaaabcaccabccbbaaaabaaaacbcbabcaaacaacbcacacbaaabacabcbcaccccbbaabbbcaaabccaacbcbccbacccaaccbcbaccbaabcabacbabbbbccacbbacacaababaccbcbcccccaaacccbabbbccacbcbccbacbacbbcbbabccbacbccaacbbaaccbcbcbbabbcbbcacbccaabccbbacaaccabcbabcaabababacabbaaaabbbababbbacbacaaacccbcbcacaccabaacbcccbccbababacbbcaaabbabbabcbcbcacbaabcabbacaccbaacbcbcaabbaccbbcccbbccbcabbaacbcccabaabcbbacabaacbabcbbabcacabbbbaaacbbccaacaaaababcccaabaccbcbabbbcbbbbcbaacbcabacacbcaccbcaccbaabccacccccaaccbbaacbaaccbabcbbcaaabaccaabaacbbcbccbabcbbcacaccacabacbbbbbbcabaccccaacaabcaacaaaaaaacabccbcaababcccaccbababbccccacccccbbbbccaccaabcbabbabbbabacbcccacaabccbcaccbbcccbbcccbcabbcabacaacbbaaacbcccacacacbaababccbccaacababcacaabbacaacccbbaccacaccacaacabaacbcccaabcccbccbbbcaccccabacacbbbabbcabaccacbcccbbcabcbcaabaaccccacacccbccabababaaaaccabcccaccabacaaabcaabbaacccbcabcbabaaacbcaaccaaabacbbccbbbbccbbbaabaacccabaabbcacacaccbbacaabbaaabbcaabbabbcbaccaccbccbaababbbcacbabcccaacaaccccabcbaaabcabbcaaaacbaaacabbcbbbbaaccaaabbabbcbcbabbaaccacacccbaaaabbabcbcbaacccbcbcbacccbbccacbbacbccbaacbbbccccccabcacabbbbaaaabacabccbccbcaacccacccaaabbaacacccccaaacacccbbbbcbcccaabbbbbbabbabcbbccbccaacabcbbbaacbbcababbabaababccaaacccccaaccacccbbcbbbabaccaabcbacabbaaccbacbbccbbaccabccbacbcaaaaacaabaaabcbcabcacabababbbacbccabccacaaccbcbbbbaacbababccabcaccacccbcaacaabaaacbbbacbbcccacbcaaccabbcacbcacbbacbccaaaaababaaaaaabccaacabbbbbbaccccaccbbacabccbccabccbcaaacababbbccbbbbbacabbbaabcacbaabccacbaccbabaabaccccbaabccbabbabbaccabbcbcbcacaabbabbcbabccaaabbcbaaabcbabbaabbbcccbaaaaccaaacabcbbabacbccaccbbaacabcabbaaccbbabbbaccccccccaacbabbacbbcbcbabbbbacacaabbbaaaabbbaabbcbbccccbbccbabaccaacabcacbcbbacacbcaabaaabcacbaacbabbacaccbcbcaabcbbcabccacbaaaaaaccccbaaaaaabaabacababacbabbcabcbabbbacbbbbccaacbbbbbabbcccabaccaaabaaccabacabacbbbbbaabcbbcbabaaccaabbbcabcacbabbccbbccabccbacaabcbcbbcbbabaccbcabaccbcccccaaaaccbcbbaabccacbaaabcbacccaaacccabcccbabccbbbbbbababbabbcabcbcbbbcaccbbaccacbbabaababbabcababbaaacbccabaaaaabbcbccbbccbbbbbbbbbccccbbaacaabcbbbcbccbbcabbbbbcbaabcccbaaacaaabaaacbbcaaacaccbcabacbbacaacacbaabcbacaccbbcaaabcabbbbcbcabacbbaacbacbbabaabbabbbcabacacabcaacabccaccccbcbacabbcbbccaacaabaabcbccbacaaccabbccabbcbcacbcabbcbaccaabaabacbabccbbcacaaccaccaacbcbccbbccabaacbacaacaccbcccabbbabaaacbcabaccacaacaaabaccacacabacabcaabaccbccacbabcbbaaabcabbbababaaaccaaacbbcbcbacacabcbaabbcababccacacaabcbcccbababcacbaaccacbcccacacbbaccbbcbaccbcbbbcacccaaabbabcaabccbccbcccccaccbbacaaababbccbacbcacbbaabbaaccbacbbcaabbbccbbbcaacbaccababaabaccacacbbaaabbbcbcccabbabaabcbaacaacabacbcacbcbbababacbacabbbabbbaababaaaabcccabbcaabbaabcbaccbcbaabbcbcbcabbababbaccccaacaaaaabbbabaccbaabbccababbacaabacabbccbbbbcacacabcbbcbacbaaacccbcabababcacacbccccbcaabcbbcbbccbccabbabaaaacaacbacbcacacbaaaacbbbbaccabcbaabcacaacccaaacabaabccbbcabaccaccccbbbcacccaacbcbbbbbaaabaababcbaaacacaabbbbcbaaabaacacacaabcabcccaabaccbbacbccbcbbaccaaaacaabaccbabbbbabacacbbbbcccccabcacbabbcaabcbbbaacbcccacaaabbcbccbcbcaacbcbcabccaccbcccbacbccacccbbcbbcbbcbbcacaacabbccbcccaabbbbabbccccabacbbbcbbbaabacabaaaaaaacabaccaacbcaaabbbcaacabcbbabccbcbbbcababbcaccbbcbbacaacaaabcaccacbaccbacbabaaaccacaccbacabcaccbbacabbccbccabbcbacaabccccbbacabcccccbbabcabcacbabcccbbacbbbccacbbbbcacbcbabbbcacbcaaccbbccbbabccaaacaccaaccbcbacbcccaaabbabcbbbbcbbcabbacbabbabccbcbccbbaacaaabbcbacbcbcccbaccaaccccacacabbcbaaccbbbaaabbbccbcbbbbbcbbcccaacbabcbaabbcccccbabbcbcacabbbabcababccbcacbcaabcaacbabaaacacababbcabbaabaaacbcbcbbbbacacbaaabcccacacacbbabcbaabbcaccccacbacaccacccccccccbcbacbbbbaaaacbcbcbbacbcaabbbbacbcabacabacacbaccabacbacbbabacbbcccccacbbaccaaccacababaaaacabaabbacaabcababbcacbbbbbcabaacabaacabcacabbabcacbcbbbabacbacbaababccbccbabcacaccacaabaabcccccbcccbcabbcbaacccacbaccccbabbcacabcaacaccccbcabcacababbbbcbaaccbccbbbccbbaaccbbaaacccaccaabcabaaacbcaabccbcbcbbccabcabbaccaaccbbbcbbbaccbaaaacabacabccccbbcaabbccbbaaacccababccabbcabcaabcabaccbacccbcaccbacbabcabaccccacacaaabbbbaaaccaabbccbcbbbbcaaabaabccaaacbcbbcbccbbbcccaccaabbaacbabbabcbacbcccbbaacccbacaaabcaccaccbbaaaccbaabbbbbaaacccaaaacaababbaccbbabbbccbabcbbaacbcbcacbcbaccbbabaabccbbbacccbbbabbacaccbbaaababacaaaacbcaaabbbaabcacbbcccbbbccbacbccbaacbabbaaacbbbcccaaabbbccbcbcbbaacabcbbcbcaccbbcaccbbacaacbcaccbaacbabbaababbcccabaaaaabcababccaaccccabbaccbacbaacabcbabacbaaccaabaabcbaabbbccaabcabccbccbcaaaabcacbbbbbabcbacbccacacbbabcabaacbbbcaaaccabbbbbaacaccbcacccbabccabccbcbcaaabaacbababaabcabcccbabbaabcbcaccabaabcbbbcccbaccbcbacbabcbabbbacabbbbaccacccbcbabacababbacbcaacabababcccabbaaaabacbbabbcabbccccbaabbcabbabbcbabaabcacccbaacbbacbbcbbbcccbcbbcaabaccabccbaccbabcaacaabaccbcaacbbacaccbacbbacbcaccaacccccacbcacbcabbcbbcbcbbcacbcabcaabccccabaacacccbbbababcacabcccbbccbcbbbcbccaaacbbcacbabbccabbbccbabccabccbcaaaaacacacabacacbabbaacccbccbbbacccabaaacabcbcbacaccaccbabacaabaaacaaaccbabbbcbcbacccacbaacbaaaabacccbbbcbaacacaaaabbcbccccccccbcacccccaabcbcaabacabcbccbcacbabaaaaabbbcaabacaabacabcbabaccccbababbcaabbacabcabacbcbbbbaccabacaabaacbaabcacbabbaccccbbccbcacabaccbcbcccccbaaccbcabcbabaccbaacaacbaaacbcaaacaabbbbabcbaacabbbccaaccaabbccabcaababcbabaaabbaacabcabbabbcbaaacbbcbaccbacbcccbacbacbbbacabbacbbbccbabccabbccbcbcabbaaabccbcbcbbbbbbbababaabcaccaabbabacbccbbccaaccbbcabccacbaccbaacaaaccccacccccbbbaaaababbabacbbbbcbcbacacabbbcbbbacbaaabaccaacbbabcbaaacbcbcbbacbbaabbbaaaacabaacabcaacbcbcbcbbcbbcbcbaaabbabcaacacbccaabacacaacbbaaaacbcbcabcbbcbaaabcbbbcacaacaaacccaaaabcbabcccccaacabbbbaabcbcabaabaacacbbbbcbbcbbbbbcbbbcbcbbcaacbbaccbacabbbacbbcacaccabbcbaacaccbbcaaccbbcbbaabcbbabbcacccacccbcacabccaccbcabcbbbbaaaabbacbbbbcbcaaccaaabccbcabbbbcbcaababbccaaccaccaabaaabccccbcbaacbccaabcccbacacbcacaabaacbaacabcabccabcaaccbbcabcccbaacbbababccbcbcccabcbbcbbbbabcaabcbccbaccbaccaaaaccbcbbacbbbaaaacabbbcabacbacabaacaaaaaccccbaccacabbbcababcacaccbacabbaccccacccccabcbabbbacccbaaaacbacbbbbbacbcaabcaaccaaaabacccbabbaaaababcbccbbbbcbaacbcbbcabaababaaabbbbccbcaacbacabcccbcbcaaccbacbbccacbccbaacacaabccaaccbabccbbcbabacaababcbabbcbabaaccbcbbccbccccbacaaaaabaccaabbababbcaabcbacbcabbcbabaaabacbbbabbbaccbabcaababcccbcabcabccaababbbbbaaaabccaabbbabbbbbbaccbbccbccbcbbaacaaacbcaababacabcbcbcbcbbaabababbbacbbcccbcabbbaababccbabacbcccabcbabaaacbabcacaacbaacabbabccbaabcbabbcacbcacbbccaccbacaaaccabbaabbbcbcaaabaacaacacccccabcabbaabbbacbaacccabacccaaccaccabbcbbaccccbcbcbbbbacbbcaacbcbcaabcaabcccbacabbccccbbcbbcbbabaacaaaccacbaaaaaacacbbbabbcbaaaabcbcabbaabcaaabcbabbcbabbabacccbbbabbaaaabcaabcabaacaaacbcbaccbcbbbbbcccbbbbcabcbbcaaabaaccbbacaaabcbacabcabbbccbcaacaabcaaababaccacaacbcacabcaccbbcaabbcbacbbacccaacccabcabbbbcabaaaacaaacaccbbabbbbcacbaccabccbcbcccacacbbababbaccbaaabaacaaccbacbaccacaacbcacaaacacabbcbacccbbcbacbccacbccaaaccabbcccaaaccbcbbabcaabaabbcbccbcbcaaccbabccbbacababccbcccaaccbccacccbcaabbcaaacbabbaccaaaaabcabcbabcaccbbcccccaabbaccabcccabcabbcabacaccbcbaccbabcabaccbcbbcbbbcacaabbabaaaabaaaaaabbaabbbcbcbcaababcbccaabacbbbbbbcbbacaabacacbcbbaaccbaacbcbaccbaabcaabccccccbbbcbaccacbbbcabababbacabcbbacaccaccacaaaaaacbaccabbaaabaabcbcbbcbbabcababbababbcacbabccbabbcccccbbbccababbacbcbaaaccabbcaabbacbbbcccbaaccccbbaabbccaababcacbacaabbbcaababccaaccbaacbbcbcbbcbcbaccabcaccccbbacbbcabcccbcacbbabbabbccbcaccbbababbcaacbaaccbbccbbccbcbbaabbacbaacccacbccacabaaaaabccbacaaacbabbbbcabbcaacbabacabaacbbabbcacbcacccabaccabcbcbccaaacaabbccccaaabbacbbcbacbbabcbbbbcccacbacbcacacbbbcbcaaacacabaccaccacccbbacccbbcbccbaababcccccabcaccbaacbabbbccabbccabaaacbbbcbaababaacbbcaacbaaabccbabaccbbaccbbacccbbbacaabbbcbaabbababaaaaaaabbcacacacccbaaabbbcaaaabacbbbbccabbcacbaacbbbaccabcacababbabbaabccabbcbccbccaabbbacabaaaaccbabcaccabcacababbabcabbaacaacbbaccbcccabccbaaabbcccacbbbaacbccacccccaccbbcacaccabbccccbcbbacabcccababaccccbcacbbbcbbcccbbcbcaabbaabcaccaacacbaccbccacbcbbaccacbccaacbaabccbcacccbbbbcaaaaaccbbbbccbcbcabcbaababbcabbbaabccbbcabcbcccbaccccacbaaaabcccaabcababcbcaccacbacbaabbacbbacbcbbbaccbbabacaaaacccaccacacbbacaccaabbaaaaacaacbbcabbacabacbabacbbcaabbbcbabaabbaacbacccbcaaaacbbccbbbcacaaacabcbbabcaacabbccacbcaccacbcaccbcbbaacabbcabbcaabbcccacacababbabababbcbbaacacabaacbbabcccabbcbaccaaabcbbabbaccbbabccacaaaabbaaacccbbbbacabccccccabbccbbabcabaacbccacacbccacbaacbcbabacababbaacacbbaaabaccabbcaabbbcccbaccacbaaacbbacaabccbccaacbbabbbbcacabbcabbcbcccbaaccbacbaccbbabacbbbcbccabacbabcaaabcbccacbabaacbcacbcbbbabbcbabcbcaccacccccabcbccacbbacabbbbcbbcbbabbbccccbbbbabbcabaccacbcacaaaccbccccaccbbbcbccbacaacbcbbccacbcbbbbcaaccccaaabbbaaaabacbacbcccccccccbccbcbcbabbabacaaacababaacbcaacacccacabaaccbaacacabccaaabbabbaccaabcbabcbabbcbcaacacbbaccacccaabacccbcaaccbcccaaccbcbbaacabbacabaccacbabbbbbbababccccaaacccabaaabcbabbaacaacacccbabbccaacbbbbcbacaabaccbaacacbbcbbaaabbbabcaaccaacbccbabcabbbcacaaacaaccbccbaaacbabaabcbbcbbbbccaabcccbcaaaaaccbaabcccccbcabacccbbbbcccccbbbbcbaabbcacaccbabaaaccaccabcbbbaaabcbaaccacabbccccbbabaacccabacbccaacbacbbccbbaccabacbbccbababaaccaabbacbabaaaccbcaaacbcbbccacabcacaaabbcaaaccaacbccacbcbacabbcbcbbbcbbcbcbcacaabbbbabcbbcbbabcbbcaaababccbabcccbaabbccaccbccbbccaabccccaacacabcaaabbcbcabccbaacbcbababcabccaaacbacbcacbcbbacbcbaaccccaccacbcaabaacaabbbbaacacacbccbacbbccbbbabbaaccaaacbbbbccaccccbccacacaaaaccbaccacbbbaacbabbabacacaccbaabbbacbbaaccaaaaaaaacbbbbabccaccbbbcbaaccbbcabacbbaccbabacbcccbcbbacabcbabbcbcaccbbabccabbcbaacbbcaacabcaabcacbcabaacacbbbbbaccbaabcaacabaabcacacaccaaaccbaaccbaaaaabbaccabcbcccacbcbbbcabbabbcbcbcbbcacaacaacbacaabbcbcbcbbabbbaaccbcacccabbbabbccabcbcbcabbbcbbbbaabbbcbaccbcacaaccbbaacaccbaaccabacacaabcbbbaaaabcbaaaabbcabbbcbcbacccacbacaacbcccbbacbcabccacbcacccccccacabccbbacaacaacaabbcaababccbbbaaabaaccccccbcaaabbbbccbbaaaacccabcbccacbcacaabccbacbccbcabcbabccbccbbacaababcccabccabccabcbcbcbbcacacaccccaababbaaaaacabbabaabaccaccabcbabcbbcbcabbbbcbbbbbabcaacabcbacaccacbccbcabccbabbccabccbababcabcacacbabbabbbabaccbbcababccacbcaaaacaaacabbbcbcbcabbcccccaabaaccabaabcbabbabacabaaabababbbccacaaccbaababbcbabccbacbbccbcabbbcacbcbabbabbaaaabccbabcaccccbcabccbacaaacbccbbccbcbccccaccacabbbaacbcccacaccccaaaaaabacccbbbababacababbccaabcaabcccbaaabacccaaccacccaaacacabbbccaaacbcbabaacbccbbababcbcbbbcbabbbccaaaacbababcccccbbacbcacbccbbbccccbabaacccbcbacbbbcababaaacaaabbcbcbbcccaccccabccaaaccabbcacbcaaacbbbcabbbbaaccaacbbacbccccbbbbaccabacaaacaacaccccccaacbbaacabaccaacbbcaacbbcabaaaccbbcacccbbaaabaabbcbbaccaaaccabbbacccbcbcbabcabbbaaabababbacaaccbbbaccabcbbabbabababcbccaccbcaabbccacabcbacbabcabbbabaaacbaaaaccbcbccbbababcaacaabcbcaaaaabbaccbbcaccbacbabbaccbacbaccbabcbcccbbcaababbbbcbbbcaaccaccaababcbacabbccabcabacabaabbabbbcbaacacaabcbccacabcccabccacabcacabaaacabccbbabbaccbbacabbcbccaaaabbaaaacaabbcabacbabcacbcabbaacabcaacaacccccbbaccbcbcbacabcbbcccacbbccacabbbaaabbccaabccccbaaccccccbabbaaaacbbcccaabaacccbbcccbacbcabbccaaaaccbbcacbcaaaaaababccbcbcbaaababbcacacbbabaaacbbbaabacacccbaaccbaccacaabbacbbabacbaccbbcbababbbaabbaabbccacacacbccbaaccbabbbacbbbcabcccaabacacacaccaccbcacccbccaaabaabaaabaacbabbbbbcccabbbbcbbabbbbbccababcccccccabaacbcababababccbbbcbbcbcacbccbbaaaccaabbbabbacacbcccbabccbcabaabcaabacbabacaacccccbaacacaaaacacabcabbbcccbbaaabbaaabacbcccaacabaaabaaacaccccbccabbcbcccbbabaacabacbaccabbcaaabcabcabcbabaabaaaabccbcbbaacacbccabcccbaabcacabbccaababbaababaabbcacbcbbbcbbacaacccacacbaabbabbccaccbbaaaacbcbabbaabbcccbcaacbbacbcacacccccbbaabaabacbbaabbbccabbacbbbbcacaaacaabbbcccabbaccbccbacbcbbbcaabccccabacaaaacabaabaaaccbbcbbbbbcccabaaacbcbcabbbaabbcbaaaaaccbbaccaabacabaacbaabcbbcbcbbcabccacbacacaaaabbccccaabcbaccbbabcbbcbbcabaabbaaccbabbaaaabccccaabbcbcccccaaabbbaacacaabacccbbbbaccbcbaabcbaaaabbbbcccaaabacbbbcccbacccbbcacbacbbababccbbccccbaaabcbbcbbccaacaacbccbbcbbccaaccccccababccbcbaabaacacccaabcbabbbcccbabbcccbbbcbacbbbacaccacababcaaabacacbaccccacbaccbcbaaacccbabbaaaacccababaccaccabbacbbbabcccbbcbbbbccaacbcacccbbcabacccbbacabcbcbabcacabbcaabbbaaabccbaaccbababbcabbcbacaacbcabcaacabbccabacccccbabbbaacacbbcaabbcccbcbccbcbcccbcbbaaaccbbaccccaabbbabbbcbbbccababbbbcbaccbbbbaaacabcabccbbcababbccabbcbacccacbabcbbccacabcbcccbcccaabbaaacaaabbaacaabbcabbcbccbbbccabacbcaabacbabcacbcaccbbcbbaaccbccaaacacacaacccaacabbcbcabbcbaacbabacbbacaabbaacabcbcbacbcaabbacacababcccbbcbcabaababccbbabbbbabbbccccaacbcaaaabbacaccaacccccbbcaccccbbaabbcacabaaccaaccbbcaaacacbbbacabbabbacaaccaccabcacacacabbacccbacbbcbababcbcbcabaccbababbaababcaccabcbbaacacbacbcacababcbccabbbcabcacbababaccacabcbcbacbaabcaaccabbacbaaaabbbcabbbabacabbbbbbbccaaaaaccbacabccaccabcbcbbacabacabacbacccacbcccbccccccaabcccbaaccabacaaabcbbbbbaaacaacbbaacabcaacbbccbbcbccbcbabcbaacbcbcbacbcabcbcccacacbcccbabccaaabccabbbacabaccaaaccacabaccccbbbaacccacbcccccabcbbcaccbcbabaaaaccccaaaaaaccbabcccbcbcbaacacbccccabacbabaabbaaaacaabbcacbccbbcccaabbbcbbcacbbcbbcabccabcbcaaaacabbaabccacbccaccbabbaaaabacaabbbcacabcacccacaacaacbbacbacbccbbbbaacabaababaacbaaabbbaccbacbacbbbbcaabcaaaabbabcbbbccbacbbcbcccbaabbcbcbabcabcbaccccaabacbcabbcacbccbaaccababaaaababbbcacaacccaabaccbccacaccbaaccbabcaacbaccbccccaccbcaaacccabcaacaccaaabbccbababcccacbbabaccbccaacbbbbcbacbaaabaccbaaaaaabacccccaaacccaabbcbbbabccbcacbbbccbabbacccabacaacbabbacaaaaacaacaccbbabbbbaccaaacbaccccababbbbbcbaaabacbbaabbcbcbcabcbcacacbbaaccaaaaccaacabcbcbabbbccaaacacccccbbbaaacbbcbccaabcbcbbacaabcaaabbcabbaacbbaacccbcbaacbacaacbbbbbbcaabcbcaacaaabababcabbabbbacbacaaacbacbabacabccaaacaaabacababbbbcabbccbcaaaabaacacbaabcbcabcacacbbcabaacccacbaabbccaacabbbabbccabbbcabbbbabbccabbccacacaaacbbbbacccaaaacbabbbbaacbcccaaabccaabbacacbcaabcbbaaaacaaacbabaaccaaaabccacbccaacbabacbcbcaabacacbacccbaacccabccaabbaabbacbacbccacabacbacbcbacccabbbcbaacbabbbbbccbabccabbaabcbcbaaaacbaacccaabcbcabcccaccaacaccabbabcbbcccbccccbcccabbbabaabcbcbbccaaccabbccacbaaaaabcababbbbaaacabcbcbbbbbcacccacccbabacbcaccabbabcccbcbcbaacbacbcaaacbabbbcacccccbabcabbbcacaacaabacacacabbcaaaacabccaababccaaaabacbccaaabacbcbcacbccccacbcbcbccbcacabccaacbaaccaaaaacacccbaabccbabbcbacaccacbabcbcbccbcbabcaaaaabbcacbbcaccacbbbbbbacccbbbccacaabccbccccaabbbacaabbcabacbabcbacbbcabaacbcacaccbacaccbbacaaacbbccacbaaccbcaabccaacbccbcbbbcccbacacacbcababcacbacbabbbccaaabbcbabbcbcbaacacbacccccbbcacbcabaaaccbbabbacabaaacbcccaaccbacbbaaaacababaccabaaaaacacbbacacaccbcccacaccabcaabcababbabbcbbaaccaaacaccacbccbbababbccaabbbcbbacbacbacacacabaccaaaaaabbccbacabaaacbcaabaaccabcbcbcaacaaacccbbcccacbcbccccccccaacbbcbaacaaaacaaacbabbbcbaacabbaabcbaaabaacabccacbbbbcaabaacaabcbbcbababcaccaabbabbaabaabccacaaccababbccccbacabbbcabcaccaccbbbaccbabcbacacbbcabcaccaabccbaccaabbbcaabcaaaccccbbbaacccccccbbcabbcbccabbaaccbaacccccbccccbbccaccccabcbcccbaacaacbbbcaccababbbabaabccbcaabacacbbcaaabcbcbbaaccbbbbaabccaacacbcbcccbcbbccabcbbbcacbaacbbcaccbbbaabcbbbccbbcbbbacbbacabcaccaccacacbbaaabbcabcaaabbcbabbacacccacbbacabccbbccccccabbaabbabcaacbbcbbbcbcccaccabacbabaaabacccbcccaccbaaabbbcbbacbcacbaaacccbbbbbabcaaaabaacbcbacaabbacaccabaabbbcbaaabaaaabbaabcbacaaacbbbbaacaabababaacabbcbacacaacababcaaaaccccaabaabbbcabacccbacacacaaccaaabbbccbcacaabcbacbbbcabaccabcbaccccbbacbcbaaacbaacbbccacacccbbabaabacbaacccbabaabaaaabcbaaaaabbbbbacacbaaaaabbcabbbcbbaccabbcccbbabcbcababccaacabbccacbabacbbbbbccbcbcabbbcbbbacbbbcbabbaaaabcaaaacbacbccabbaaccbcaaaabcbcbabbacabbcabacaccaacbbbbaccbcbbcccaabacbcbaaaacbacbaaacaaacbababbcaaaabaaaaabcaababcbaccacbcbbbbaaccccaaccaababbcbaabacbcabcbaccccabbbbcaacacccaababbaababbaaccaaccbbaacbcbaacccbbcababbabcbcabbbbbaaacbbacaacbbcbacacababcccbabbccabcaabbbbbaaacbbccbccccbacccacbccabccacacbabbaaabbbcaacabbccbacccbcabacaccaacbccabbccacaabccccabbcbbbccacbaacbcbacccccbcbbaaccbbaabbcabbacbbabbacbbbcbaacacbccaacbbbbcbcbbcbccccaaabccababacabccbaabaabccbabacbbcaabcbabcbaccaaccbcabaacbaacccaaccbccbbaaccacccbccccbbcbcabbcbbaababcaacccaabccaabcacacaabacaaccccbabcbacccbbcbacbaabcababbacaaaabbacbbbcbabaccccaabbcacccabaaaccbbababbbbcbcaacbbcbacaacbaccacababccaaabaabaababaaacccbccabbcaabcbbcccccabcccbcbccccbbaabbbaacbcbbcacabccabbbabaaaccbcbbbccbaabbcccabbcbcaaabbbacaccccbbaabcaaacbaaacaaacacbbbcaacaabbcaaaaabaaccacacbabaabccbabaaabacaacccbcccaabcbabbbcccbcaabccbacbacbccaaaababaaaabcaacaabacccbabaccaaabcbabacbbccccbbacaaabcccabaacbbacabbbaabaccbacbcbcacccaacaacbaccbbcccaaaaabaccbbbaacbccbaabbbbbaabbcbaabcbabccbccbabacbbabacccabbaccaccaaaccaacbbccaacbbbccabcbaaacacccbcbbbaaccbccacaabcbcbacacaacabacabacccaacabcacabababbacabacbcbccbbaaaaacaaaaacbbbbabcacbcbaabcacaaacbccabaccbcbcccbbbcbbabbbcacaaabaacabbbaaacbbbcabbcbbabccbbbbcccbbbcccbaabcaacabbcbababccbbbbabccabcaabbacbbabacaabbbaccbcbbacabbabbcbacbaacabbabbacaaaccbacbcbcbacccbcacbabcccbcbccbacacbbbcabacbcbcaacbbbccbabcaacabaccbabcbbbbaaacbcabababcccccacbccaccaaabacccbbcababbbbcccacacaabbaaaccabcbccabccaaaccacbabbcbbababbaacaccacbaaacacacababbcaaccbaccccaacabbaaabacabbbacbbaaaaaccababcbcccabbacbabcaaabccbacbcabbbbccccaacabcbcbbabbabaccbcccacacaabaaabcbabbacaacacacabccababcaababcabbbcaaacbcccaaccccacbcbccaaccccbbcbcbcaccccacbbcacaaaaabbaccccaccccbcbacbbbaabcccbcccbaabccbcabcacabacacacbcacaccacacccbbbbbcbbbcbcaaabaaacacaccbcaacbbbcaaabccbaabcbbbabbcccacbcabababbbccaacaabbbbccbbacbcccbababccaabacbbbaacccaacacbaaaacbbabbbcbcabcacbcbccbacccccbaacaaaaabcbaaccccbbbbbcbccccbcbbcbcabbbabccaccbbcbacbccbaaacacbaaaacabcccacacabababbabacccbcacbabcccaaabbaaaabcaababbbcabacbcbabbcacccaaabcccabbccaaabbbabaaccbbbacacaabcbbbcbbabacbababaaaccccacbccccccbaabbbabbbcbbacbacacccababcabacabbababbbaaaabbaccbaaccabacaaacbbaabcbcbbcbabcbbccababcccbbabccccabcbaaaaabcbababaabababbbaaaababbcbcababcbcbaacacccaacacacbbaaabcbcaacbcbccacabbaccaaabcbababbaaacbabbacabbababbcbcacacacbaaabccccaacccbbbcababababacabcaaaaacbccabbcbcbcaaacabbabbbcaabbccbccbacababbbacacbbbccbacacccbbccbcabaababbbaccababcaacbcaabcbccbbabcccaacacbabcaaccabaccaccbcbbaaaabcabacacaccaaabaaabccbabbcbcbaccbabccbaaabbcabcbaacabacbbbbabbbacccaabbaaaccbcaaccabbcbbbabbccbacacbaababcbcacbcccbbccbbcbcababacbaabcacaacabcbaacababcabbabaccbcbbaccbbbcbbcccacbacccaccacbabcaabcccbbacbabbacbcaccbbccbbcccbcbcbacccaaaabbbaaccccacacbcacacbcbacbcbbbacbacbaccabbaacbaccaaabccccaccabcacaabccaacabcccbcaaaccabaacbbcbaacacacbacabacabacbbaaabaccaacbaabbbbcbbbaaaaabbabbacbaaaabbacbbacabcabaccccbccccacacccbbcbcccacacbbcbcaacccacbabbcabaaaaaabbbbcacccbaaacccbaabbbcacababbbbcbbbacbbcabcbbcccabbccbcabbcbbaaccaacaaacbcbbbaaabaababcccabacbacaaaaaacacccaccbbbabcbbaaabaacaaacaaccbcbbbabbabacccaaaabccccaaacacbbbbbbbccabbaabbbbccbcaabbcbccccbacacabcacabbcccbcbaacbacccaaabbcaccaabcabbbccaaaaccabbacccccbbabcbcbbccaabccabaaabbccaabaccaaabbbbaaaacaabcccccaaabbccababcbcbbacccabbcbacbacbbccabaccccbaccabaaaabbbcbaaaacabaaccbaaacbcaabcbbcacacaabbabaacbbbbcabbcabbcbbaabcbaabbabbcbbacbbcaacbacbccccbbaaaacacacaaacbaacbacaacbabbacaacccccbaccaabccacaaccaacacaaccabbccbaaaccacbbcbaaabccacbcaabbaaacbccccbcbabbcaabacabaccccaccabccccbcaaccbacaaabaacaccbccabcccbcbcccbbcccabcaaabacbaaacbbcaaabcbcaaabccbabacbccbcacaaabccbcbbbbbbabaacbaaacaaacacbbabcccacabababbacbabababbbaacbbcbbccaacbaaabacacaccabacbcbbbbabcbcaaabbbbbbbacbccaabbcbcccbbacaacbcabbaaabbcbcbcaccccbccacabaaabcaaabcbaabaaccaaacccbcabcabcbcbbbbaaacbacabccacacbbcbcccbcacaccbcabbacccabbcbaaabbabaaabababbbbabacabaaabcbbaaabaccccaaaccccccccbaaaaabaccbcbbbccccacccaacccaaacbaacacacbbccbcccaccaacbcaccbbabccbababbcaccabacbaaacbacacacbcbbbaabacabacccccccaaabababbbbabbaabbaacacaabbbccccbbbccbbbaabcbabcacaacacaabcbbabccccbbaacbccacbabccabbbabcacbcbbabbacaccaacabcbaacbbbcbacabcbbbaccacbbbcccbcbaabaacbabcabbaaaccacbccaaacabcbabaaaacbaabbacbabaaccbcabbcccccaccbbababababcbaacccabbbbacbcaaabaccbccacccabaaaccbbbbbbaabcabacbcabcabacccaacbabcaabaabbcacbbaacabbbacaaabababcaaabbbbcccabbacaabcabbcbcabbbaacabcccbabbbcaacbacbcbbccacaaccaccacaaabccabacaaccccbbaaccabaacbabacbcacbbabccbbbacacaccabbbacbabcabacabaaabaaacaabccacaabcababaacbabbbbccbbabcabbabbbbacbccbabbbbccabbcbcbbaccbbcbbcccbcccabacbcbcccabbacacabbacccaacbbbacacbabbbcaaababaaccbccaabcccaaaabcbbcaacaaacbbbbacabacbbbcacaaaacaccbacbabbabaacbbcbbcbbbababacaabcbacaccbacccaaacbacabcabacaaabcbbbbcabcacaabacabaacccaaaacccccbacccbabbbaaccacacbacabbbbbcbbcababcabbbcbcbaabaaaacabccbababbabccbbcaacaaacbabcabcccbabcbccacacabccaacacabcabacabcabbaccbababccbaabbacbbaccbcccabbcabbacaacccaaabbaccbbbcbbabbbbbcabacaaacacaaabcbaccbbccbbcbabbabccabaccacaacccbacbaccbbbccacbaacccbabcabbabbaacbcaaaaccbbbcabbbabccacbbbbaccbabbbaaaaacacabbaccccacacbabbaacaaacabaacacacbbbaacbcbbaaaacacccbcaaacabcccbacbbabbaacababaccacbcbcbcabbcacbaccbccccbababcaacaaacacacacbcbaabbacacbbbbbbbacabbbbcaaccbabbcbcbcacccbaaccabbaccacababbbabaabaabcbbcccaaacaacccaaaaaaaabccbcaabcbcbcbbabbbacacccbcacabcaabcbcaaaababcccccbcaacbbacaacaccbbbccbbacbaccaacccbbbacabccababccabbabbbccabbbbccababacbbccbbbabcbaccbaaccbbcbabacccacccbabbccaacacccaccbabcbbbcacbbacbbabbcccbabcccabcababbaccccbbcccabbccacaacbcbbcacbbbcabacababbcbcbcbbabbbacbcaccbaaacbbaaccaccabaacabcacabccaabccbbaccacaaaacbabaaaccbaaaaaacbbbcbabcbbcabcaaaaccccabbbcbabaacbbbccaccabbbaabcbabaabbcbaccccbbacbcccabbbcbaacbabacbaaaaccbacacbbcbabbcbbbbbabcbbcbacacbccbcbcbbbabccbbababbcaaccacaacbaacacabcbbbbcabacbaccacbcaaaacabbcabbcbbabccbabcabaaaaacccaccaccabccbbcbabcacaaabcbcacbccbbaacaabaccaabacacabccaaabcacaabbacbaacabbccccabcaaacababbbabbbbacaaaccbbbaacacacbbcaaabccbbacaccccbcbbcbbbaabcaaaacbacbacacacbabbaaacacabcaccacabaccaaabcacacbacacbbacbbccbbbbaaaabcbbaaacccacbbaaaabbacacbaabcaababcaacbacccacabacbcabbbbcaabccbabcbcacaabccaabcabcbbbacbbbcccaababbcaabcabccbbaaaacbacabacbcccbcbabbcaaaacbababccbacbaacbbbbabcbbcaccbcbbccbbacabcbbccacaabcacacccbcabbbabbaabccaabbacbaaabacabcccabccbbabccabbbaccabacaccccbabbcabbccacaaccbabbabcccccbbbbbbcabbaaacbacbcbcbcbbbbaacabcaabbcccbcbabbaccabcacacccccabbbbabcbaccbcaccaccbacccbaccaabaacaacacbbcaaccaabbcacbbcabcbbabcaaccacbcaabacabacbbacbaacabaaccabccabababcbaaaabbcbccccbbcacabcacccaaccbaccacabcbcbcabcbccbbbaabbbbbabbacaabbbcaccabbccaccaaaabbccabbcabcacabccbabbabaababcbcbcbcccbacccacccbabbaaabaaabacacbabacababcbccbaccbcaababacbabcbbbcaacbccbbccabaaaaacabaaccaaaaacacaacacacccbcbbcccbcccaccacccccabababcaabacbabccbaaccbbaaaacabbaabaabbabcccbbacbcacaccacbcccccbaaaaabbbaabccabcacaabbccaacbaacacbccbabbcaaaaacaaaabcbaaababacaacacbabbacaaabcccabbbbcccabcbabbbbcabbabacbcbacaabbcbabaacaacacaacccbbcacacaaaabcbabbbccaccaaabccabacabbbbbacaabbcaacbccbbabaaccccaccbabcccbcccaaccacaabcbbabaaacbcaccbcacbbbbcaabcacabbbaaabcbcacaccbcbccccacccaaaacababbccccbcaaaaacbacccbccabaacbbbcaccaaccbaacbccbbbcaacaaccaaacaccbacbcbbababcbbabbcabccaaaabbbaabaaabbbabaccacaccaaabbbcacabaabbaccbacacbabbcccbacbabbbacaabbcaacabcabbbabaacbccbbacaabbaccacabaabcbcaabacccaaabbbabacaacbbbbbabaaccabbbcccccbbccccbbaabbcabccababccccbabcaabcabbbccbcbbcacbaaabcabaabccacbbbababacabcbacacaaaaababbcacabcbbaaabbaacbacabacabababbcbcbcacccbbbcaccabbabacababcbabcbcbacaaacbaccbabaccaaabcbababcabcbbabbbacaaacabbcbababccccccbbaccbbbabbcacbcbcaacbbcaccaabbccccabcbaabbcaccaccccbaaaacbccabaaabacaabbbaabbaacaabccbcbbabccbaaccbbccacbacbacaabaabaaabcaabbbccbabccabacbcbcacbabcacbcaabaacaaccbabbccbccbaccbacacccbbbcaccbcbbaaaacbbcccbcbcaaaaaabbcccaacccbaabbcbacbaaabaababbacccabccccbbbcacbbccaaaabbcaabaacabacaaabcacbacaccccbbacbcccccbcacbaaabcacccaabccbbcbbbcabbacbbabcacabccbccacaacacbcacbabacccbbacabacabacaaccbcbcbabbbcabaacbbcabcbcccaabbcabaccbacacaaccaacaccbbbbccaacaacbabbcbccbbabbcaaccbbcaaaccbcabcbccbbbaacaccababababbbbcacbacbbcccabacbbcbabbcbaaacaacbcbbaabbcabcabbacccbaacaabaaabcccaaabaacbaabaacbbaaccabcbbaacccbaaabacabcbbbabaacccacacbaacacccbacabccbacccbbccccacaccbcbaacbaaabababbcbbcababcabbcaabcbcbbbacacacbaabbbcbbcaaacbccbaabcccbbcaccaacbbaacbccacabcbbabbccbbbcaababababcbbcaaabbaabcbbaacbaabbcbbbcbbbcbbabaccacbaaabbbabbaaccaaccacaacacacacabaacacbcaaaacbcabccaccccbacbbcbbaccccaacbaabccaaabacabccbabbabcbacabbbbbabbababcbccaaccbaabaabaaaaabbaaccbababcbabbcabcbaccbacbcbaaacaccbbabbabcccbcccaccbcbacbbabaabccaaccbbaaabacbbbabbcaabacabaaabbbccbcbbaabaaacaaaaacbbbacbaabbabacbaaccbcccbcbacbccababbbabccbcbbcccbbcbababcacabbcacabaabcccacbcbaccccabccaaaababacaaababbcaacccaaaaabacbacbbacacbabbacccbcabbbcacbbbaccbcccaccacbbbbacaaaaacbcaaaaabccaabcacabaaaaccbbbcabbcaabcbabccacbcacbcaacaccabcbbabacaaacbbcbabbbcbaacaaccbcbbababccaaabbccbbcacbaccccabbacacbcacbbabbcabbacbbcccbbabbbbbabbbaabbbaccbbccacacccacccbbbaaabcbccccbcbcbaccaaccaccacbaaccabbbbacbabcbbacbaacbcabcabbabacabbcbacabcaccaacaaaabcbbcbbaabacbabccbacaabbbbcaabacbcccaaacbacbabbbacacabbaccbbbabccabbaaaccaccbbcbbacabaaaaabaacabacbbcbbaaaacaaaaaccbacbccccbbacbbcacbcacaaabcbaaacccccbabacabacccaaaaaaaacbababcacaaaabcccaaabacaabacccabcccbaaaabcbaccbcbaaababaccbbacaaccbbbbbaaabbabacacaaccccaabbacaccaaaabbcbcbaaacaacacccaabcabccbccaaacaababbcabbbaccbcbbabcaaccacacbbcbcaaacbacbccabbcbccabbcbacabbaabcccacacbababbbcabaccbccbbaccbcabaccabcaababbbcbbccabbabcaacccbaaacbabaaaaccbacbccbbbbcbbcabaccabbccccaacabccbacbaabcbaacacbabaacbccccccaabcabcccabcacacbacacacaacbabccaabcabbcacaaccabccaacbcabaccacaacacabacacabacaaacccbccaccaabccbbcbaccbababbbcbbbcbabcacabbacbccabbabcacabcbccccaabbcbbaabababbbabbaaaaccccbbccbccabbbaccbcbccccaabbcacaccbbcacbbacaabccabcaaabbabccbcbcacbabcbacaccccababccbcbbbcaabcbbbbcacbcccbbcacbbacbbcaacabaaccabacbbbcaabcccabaacaccabcbcbacbacbabbcaabcbbbccbbbcbbbbcbcbaaaacbcbabcbccbcacaaccbbcaababcaacbbacbbaacbccccaabcbbbccacbcbbacbbcbcaaaacbaaccacbcbacbbbbacaaaabaaabaaabcbbabacabbaabcaabcbbbcacccbcacbababbabbaacaaabaaaababaaaabacacccbbbacabbbcacbcbaacbcccababcbabbcbabaaaabbbabacabbccccbaccaacabbcbaaaabcabbaacbaaababacabaacacaabcaaabaababaabccccbababacbcbcbaaabbbcaaaaabcccabcaaabacbbbbccbbbcbccaaacaaaabccbaccbcbabcacbbbabbaaccbbaacabbaaaabcaaaababbcbabbccbacbababbaccbbaabccbcbccacabbabccbbbacabbbcbaaaccbcbcacacccabacababaccbbbcbbbcabacbaaabbbbaaaacabccaaccbbbccbcbbbabaccbcbcaccbccacaacaaacbbbcbcaaabcaabbaacaccbcbacbccbacccacccacaacbbbcbabbcbaccbbbcaacbbacbcabccaacccaaacabbabbcabacabbbbbbbcbccabcababaccccacbaabccaccbcabbcaaccccbbacacccbbcabbccbbcbbbccaccaccaaabbabcaacbcabbbccbacbacbccbcbacaaabccacabcaacccbcaccccaccbbbbabaabaccccbabaababaccbcabaccacaccaacacacbaabcabbaaabbcccbaaccbacbbbcbbcbcacacaaaabacacabbacabcaaccabaabaacacbccbcbbbbacbaaaabcaababccccbbcaabbaabaaaccbbacacbbcaabababbbaccbbcabbbccbabcaccbbcabaaccbbcacbcbbcacabbccbabbcaaaaccccaaacbccabaccacacabcccbbaabcbacabbbcbcccabbaacbbacacbcacaacaccbccaacccaccaccbaabcbbbbccbaabcbbaabbaaaaccacacaacbaaacaacccbcbaaabaaccbabcbcaccbcbcaacabaaacbaaabbbaaacacabbabccbbcbaabaabbbccaacbcbabbaccacccbacacaacbcbaaacaccbabbbacbbcacaccaaaababbbccbacbcbbbcacbcbababbbacabababaababcacaaaacacbbcaccaaabbabacbacbabbcabcabccbaaccbabbcacbcacccbbccaabbcbabababccbcacbacacaccacbbbbcacbcabcbbababcaabbbbcabacbabacccbabbcaaccbbcbcccaccacaaaaaaccbcaccaaacabaaaababacbcabbcbcabcccbacbbaaabaabbcbcbcaaaaccaccacbacccaabccabcbbabbbacbacbccabbbaccacbbaaacababcbcbbaccaacabacbbcbabaacaacababcccbbabccbbcaccbcccbaacaaaacbbbbcccbbbbacbcbabaccaaababccaabcacaabbbbcabcbbaccccbcccaabcbacccaacabcccacbaccbabaccbcbccbccaccacbcccbacbbccbaacccbaabbccaacccbbccbcbccacccaacccbbcababbbabccbcaaacbbbbabaacbaaacacacaccacbbccbbccacbcabccaaabaaabcbcbbccaccbbcabcccbaacbbbacaabbbbbcaaccbbacacbabcaacabccabacaaabcacacaaabaaccbabbbcaacacaaaabbabaaccbcaababcbabbbbcaabbccaaaabcbccbabccbbbbcbabbacccbbabcbcaccaccbcabcabaacacacbacabbbcaacaabbcccabacbcaaaacaaccbbaccbcaabcaabccacaccabcacbccaababbabaabbaabbcbccaabbacbacabccabaabcaacbcbccbbbabbbccbacbcacccbacbbbacaccabbccaccaaaaacbababccccacababbaaaacabacaacbccbaaccaabbbabbcaccbbcabbbcacacaabcbabbbccbbcbbcbbbcacaabcaacbbcbcbcacccbaabcacabcaaccacccbbacbbbcaaaabacaabcccbaaabbccbcaacbcbbccaccbcbcaabcaccaababbbaacabaccbbaabcababbacacaccbcabbabcaccccccbbaaabbcccbabbababaabcabbbaacbcbaaaabacccaacbcbbaacabccbbbbababcbacccaccaaaabbcacccbabbbcbcabcbbcaaabbbcbbbaabbbacaabcbaaacabbbccccabccaabbbcacaaacaccbcabccbabcaccbabcbcaacbcbabbabaabbbccbcaaabbccacaccabbacbbaabaaaccaccbbacaccccbbabbaabcaabcaaccccabaccaacaacaccacbccccabaabbcbaccbacccaccbbcacbcaababbccabaabcbcacabbaaababcbccbbbbccabbccbbabcbbbbabbcbbcbbaaccacbaacbbbccbaaccacccbccbbcacacaaacbcacbcabaccbacbbaacbcaabbbbaababcccbbbaabcccbacacbabccbabaccbcbcaaacbbaaabcbabcaacbbabacbcbcabcaabccabbacbacbcccacccbabcacbabaacacacbabbabbbbabbbbabcacaccbaabcbcaccbabccaaccabbacbabcbccbabcaccbbbbbacbabcbcbbcabaaccbbaccbbbcbaabbbccbacbaaabcaacbabccabbcacabacbbbaabbabccbbbababbcbbaacbcbacabbacbabcbabccacbcacccccacbbccbcaaccbacaabccbababbaccccbbcbbaaaabacbbbaccabbcabcabbcbacabacbbbbbbcacacacccaacbbbcbabbacbaccccccaccbaabaacbaabcbbbbacccacbcaccbcccacccabbcacbccbabbcccaabacccabbbcbcabccaaacccaaacbbcbccabccabbbbaccccbbbacababcbbbbbbabbcbabaacbbbbbabcbbaacaabbcbcaccbcbcccbbccbbacbbcaabbaaaabbccbaabaabccabaccaaabbaaaacababbacacbbbbabbbccbcacaaacababbcaabbbbccbabaacabbccaacbaacbaabcbaabaabaabbbccbbabaccacabbbacaccaabacbabacbcaacbbcaacbabbbcacaccbbbbabbcacababbccaaacaaaaaabbcabbbcabbbbccbbcacbcbcaabbcaccbcccabccbbbccbacbbacccacabccaaccaacacabbbabacabacbabbbbbcacccbbbbccbbbbcabcbaacccbacbbababbabcabbabbccabbacccbccccabcbaaaaacaaccbbcaabbaacacbabbaacacbccaccaacbbaabaabcabccbaabcbbccabccaccacbccaccbcbcacbccabaabaacbcbacacbcccbaacabbbcaaccacaaaaaaccccaccabbcacabbbabacbccaccabacacaccacaacabbbacabbabbcccabbccabaaccacbabcccacbcbbabacccaabbaaacabcaabbbccabcacccaacbcbacaababaaabaacaacccccaabaabbabcbcbbaaaabaabbccbaabacabbbcababcccacaabcbaabccbaacbaccaabacaacbcbbaacbabccccabbaccababbcbaaabbaabbbbcaacbcacbbcbbcbabaacaacaccacacaabacababaabbacbbcaaacbccaacaaccababacccabcbbacccbcacbbabaccccaaacaccaccaaaccbcccbccbcccbabccaacabaacaacbbbabacaacacacaabcaccabbacabbbaabccbbbbbaccaccbbbbcabcabbbcbbabaccbbbcaacbccbaacbcbccccbbbccaababbaabbaaacbcbabcbbbbaaccabbbbccaccaabbcaabcbbbbaccacaabbbabacacbbaaacbbccaccabbccbccbbcbcbcccbccbbaccbccbacaacabbccbabbbacbabccabaabcccbcbacaaccaccccbcccbaabcbcabacbaabaacccccbbbaacccbbbbcccaacbcaaaacaaccaabaacbbcaccaaaabcaccccaccaacbbbcbcacaaababacabcbbbbcabccbacacbccacbbbcccbbcabbcabbaacbabbbcccbacacaccccaabaccaaacbccaccbbbccaccccaacbcacbcacbacbababcaababcbbacacaccabccabbabcabbacbabbbcbbccababbabcbccacacbbcccbbcbbbbacccbbbbaaacabcbcbbcccbbabaababaacbcaacbbaccbcbbabaaaccacaccabcbcacabacacbababbabbbaabababbbaabbacbbacbcccaacacbcbaaaaaacbbcabbbccabccbcbbaabacbabbaccbabbcaccababacabcbcbbacacabccabbcbbaaaaabacababaccbccbbbbaccaccbacbbbaabbcabbacaabaacbcccaccbaaabaaccaacacccbbcbcccbbcbccbabcbbaabacbcacababcbabbbccbabbabbaabcabccbcacbcacbbbabcabbbabcaabcbcbcaabcaacaaccbccaccabbcbbcbbcccabcccabbcbcccabaababbbbcbaccbacccabcaacaaaaaaccabcbcbaabcabcabbcbcbaaacbabcbaabcbbbaacabbbbbbcaaababbacccbbccbacccbaaaabacaababbbccabbacaacacbaaccbabcaccaccaacbbcababbaccbabaabacbccaabcbcbaabcbabacabbccaabbcaacacbcccbbccccaaaaaaabcbaacaaabcabcbbbaccaccbbccacccccccbaacaaacbaaacabacacabcbbccbccaaccabaccacbacaabbbccaabbccabbcbbcbaacaaaacacacccccbacbaccabacacbcacaaaabbccacaccacccabbbacacbaaaaacaccbabcccbabbccbaacbbcabacaabaacacbbccbbacbcbbbbabaabbacccbcabaacbcbcbccaacccabcbcbaaacacccccbacacaaccabaabcacbbabbbcacbabcaacbbacbababaacaacacbbabbbacbabbaaabacccccababbccabcaacbcaaabaaaaabbaacccabaacaacbbbbacacaccabaccbcbababcbbcbabbababcccbabbbbaabbabaabaabccbbbcabbbaabccaaaaaaaacbbacabbcaacbbabcabccaccbcabcabaabaccaabbccaaabbbccaccabbaccbbbaacbabbccabbcabbcbbccbacacccaaaccacaaccbbbacabababcbcacacbcbaabbccacaaababbabbbaabbbbabaccaccbabccbbcbccccabbccbaabaaccbbbcabbacccccbbbccbbbacbaccbabccaaaabcaabbaabacaacccbaabacabcbbcaabcccbbaababbbacbbccbaaacabcabcbccacaacaacbbcaababbcaaabacaccbabcaccbcbbbaababaaabcbbcacbabbbbbcbcbcacbcccacabbaccbaaccbcbcaabbacabaababbcbaacbcbccbcacbabbcabbcaacbbaaacabbcbccccaacccbbcbcbaccbbccabcabcacbbabcabcbbbacbbccabcbbbabaacaaaccabcabbabbccaccbbaacbacbcbaababbacbaaacabccaccaabbaaabaaabccbbccacababcbabbbbaaaabacbbcbbcababcbbccbcbcbcbbccccbbaccabbaacbcbccacababcbabccbbbcbccbbacbbbacaaababbbaccaccbccbaabbbbbbccbcacbacabcbcabacccaaaaabaabcacbaacbbaaccbbcbbbaccbbaccbbacacbcaabcabbcabcaababacaaacbbcccbaacaaaabbbaabbcabacaaccbccaccaccabcbabaacbbccaccaabababcccbbcbbcaaababbbcbacabccccccababbbbaaaaccbccbabcaacbbcbacabcccbcacabbbaaacaccbbccbccbcccbbabaccbabbcaabaabcbcbabbacacabbccbccacbcaaccabaaabcbabaabcabcbbabbbaccbaacbababbbbaabacbcccbcabbccabaabbbbbbccabbabbcbacacbbaaccbaaccaaccccbcabaccabcccccccacacacaacbcbacccccbccbcbaabacaabcaacababbccbbcbbccabaabacccabbbcbacaaccabacabbaaaaaaccabaacbaaaacaaacabcbbbbbbbaacbabccccbccabbbbcccbcbaabcbbaccaacabcaccccccbabbcbcaaabbcbbccbbbccbabcbbbbbabcbacbaacabbbaabcaaacabcacabcbacbaacaccbabcbacabaacaaaacbccbacbcabbbabcacabcaacaccaccbcaaaccacaaabcbacabacbcbabcaaaaacccccabbacbabbcbaaaaaaabcaabbcccbbccaaabbccabbaacbbccaaccbcbbacbbacaccccbacbcccbcaccaaacacacaaacbcaaaabaabababcaccccaacaccbacaaaaaaccaacacbcabacbaccbaaacaaaacacabaaabbcbaabccccabaccaacaaacbaacbabcacabbccbcbababccacabbbccaacbcaccbbcbacccbccccacaabbaabbbabcaaaaabbacabbccbabbcbbbcbcbccbacaaabbacccbccaacccbaabaaabcacbacbababcaaabbcbbaacbbcabcbbcbabababcaacccaaabacbbaabbacbcbabaccaaabcbbcccaabbbcbacccbccaaacbaacccabcacaccabbcabaaabbacaccaabcccccaaaccbabbbcccbaabbaabcacbbbabcabccaccbacbaaaacbaccbacabacbacbabaaaabbaacacaaaacabbabaaabbccccaccabcbccaacccabcccabcbccaabcacaabcccbcccacacccabbaacbcbcabccbaabaccccabbbcccaccaaaacaccabbcbabbcccbacaabaaabccbabbbbcaaabcccbaacaaccaccbcabbababbbcbcbcabaccaaabaabcaaaaccabbcbaacbabaaaccacbbcbcbaccccaabcaccccababaccbcbbabcbcbabcccaabbbbcacccabbbbacacbcabbabacacbccbcbaccbbbaaccbbacacbcaabbbacbbacbccbcaacccaccaaababcbabaacbbccaccacbcaccaccbbaacabbbcababcabcbccaacaabccbabcccbcacabacaabcacbbabacbacababcccbababbbbaaabacacaaabbcbbabbabacbaaaaabcbaacaaabcbbbcccaacbaabcbcccaccccaaaaccbbaaccaabbbccaaabacacccbaacbbcabccabbbacbbcccbabcaaaccacbbcbaabaaacacacaacabcbbcbaaabacbaacbbcabacbbcaaaccbacccbaaaabcaaccbcaccabcacbacbbcbcacbcccbacaabaccabaacabcabcbcabbabbcbaaaaaaccaacacccbbaaabaaaaccccaabaabbbaacbabacacbcaabbbccaaaabcccaaaaabccbbaabbcaabaacbbbacbabacbcbaaacaaaabaaaaabcabbcccabbbabccabbaacccabbcaaacacacbcbabbbccbacbaaacccaccabcabaaababaccccbbcbccabaaacbabcbccbaabbacccaacaaabcbbccbbbcbcbbbabcbccaaabbacbcababbcaabacbcbabccccabacbabcabaabacccbcabbbaabbbcaabbaabacacccbacccacccbbcaccbbcccaabbccabbacbaabbbaccacababbbbaccbbcabaccbaacccaaacacaaaacbabcaccbaaccabbccccbaaacabacababcbabaacbaccacacbbcabbccacabcbcbbabbcacccbbabbbbaaccbbaccabcacacbbcbacbabaccabbcbccbcbbbcaacbabccacabaabcabababacaccacaacbcaabcacaaaccacaaacabbbaccabbbbbccaccaaccbbbcbabacccbcaabbcbbababbcbcbbaaccbcaccbccbbacabbbccabcabbcccabcbabcaabababccbbcaacaccbabaabbcbcacabbcbccbcbbcbcaabbcbbcabaababcccacaaaaabaacacccaabbbacbcaaaccbcaabcbcccbaccbcbcbbbabbccbacbacacbaaabbcbcbaccbbbbcacbacaccabbbbcabbaccaaacbaccccbaacabcbacbbbbabaacaabaabacbcabcccbaccaabccbaacbaccaabbbaccbbcbaaabaaaaaccbcbaaccccbcababbacbbcabccaabacaccbaaccbacbbccacacbaabbcbcaccaccaccbabcbcabbcacabbaaabbccbbaacabbcbcccbabbbcaccbaabcbccbcbcabcccabcabaccbbacabbbbcccbbcbaabbabbaabbcccbaaabbcccabbcaabcbabbacbcaccabaacabcabcaabccacaccbcaaccaacbabcbbbcaccbcccccccbbabcbbbbcbcbbbbbabbbcbaacbbbcccbbbcaabbbabaacbabcaacabcccaacbcacccaabcacacabaabbcbcaacbccaaaccccbbbcabaccaaaccbaabccaaacabcbbaaacabaaccabcbcbbbaccacacbcbcccbcbbcbbabbbcabcccbacaccbbbabccbcabccbcabacbbcaaacaabccacbbaabbaababcbbbcaaccbacbaccbbbaacbabccbbccbbcbcbccccbbcacaaaaccaccaaaccaaacaabbbccabaaccbababcacaabbbcaaaccbcbbcaabcaababcbcaccaacbcccaaabcabbabaccabcbcbbbccccabbccbccbbbbbccaccbcabbcbaaaabcbabcaaccccbaaabccbaaccbbbbbcaacccbbbbaaaacbccbbaaacaccaabcbaccccbbcbabbbacaaabaabbccbbacbcccbbccbbacacbcccbbbbabbcbbaabbcccaaaabbbbbcbbbcbbcabcbcbaabbacbbcabababbccbbbacabbaacababccbacbcbcccbacbbcbbaccbaabcccccaabbbaccacbaaacbaaccbababbccaabbccccbcbbbcbabbcababaaaacbbbcacacacabccbbcbcbcbbabcbcaacbacbbcbccccbaabbabcccbaaabaabcbcbbbcaacaacbcbabcbccaaaabcccccbabbacbbbbcbbcbccbacccbcaacaabccabbcbacbbcaaaaabccaaabcccbcccacbccbccbbcccbaccaaccccaabcabbaabaacbacacbccbababbcbabaacaacbcbbbacaaacabbbbbcaaabacabbbaaccacaacacbcacaacaabaacbbcbcacabbbbbacacaacbcaaaaababacbacababcbcbcbbbaabcccbbcbaaaaabaacbabbacbcbbbaaabaaaacacacccacbaacccabcaaababbabcaaaacaaaaacaabbaabbbaaccbcacaabcccbcaabbaaabcaabcccabccaccccbbcbbcaaccacacbbccaacbacbbbaccbcbcaabbaccacbbcacbccabbcbacbcaaaaaccabacbbabbaccccbababcbccabacccccbaccacbbcaaabbaccacbcacababacabcaaaabbaabbbccacaccbbbabbbbbcabacbaacbcbcbaaacaaacbacbacbbbababbccabcacbcacbbcaacaabbacbbcabccbacabcababababaacccccbcabccccbbbaabbaaaccaaaaacbbbbccabcbccabccccbcacbbbbccccaaabbaabcbcbbccbbcacacacccacbabacbaaabaabaccaccbabbbaaacbccaacbbccbbcbbaccaacaaaccbbaacccccbcbabaaabacaabaaccbbccbbabcbaaccabacabcbcacabaabcacaccbbcccbcacbcaababbbbbaaabbcbaccbacabccbcabcbbaacbacabccaaccbaccaccaccacababccaaccccacaaaababcaacbaaaabccbcccbbcbabbaaaabbbacaaaacaabcaccccccbcabbaccacacabaabcbcacbbaababbabcbaacaaccbababcbabbbabbacaacbccbbacbcabcccccbccaacbaacbbbacbcccabcbaccccabcababcbbcbcaaabcccbbacbacbbcacaccacacaaccccabcababaabaabccaabbbaaabcaaccbbbaabcacbccaaabaabbcbbabcbcbacbcbabbabcaabcacbbababacabbababcbacbbaaababcbccccacbacccababbacaabbbbacccaccacbbcabbbbacbbcbaabccaccbaaacabacccaaaaccaccbabbcaccbbabbbcababcbccbaaaccaccbbacaabccabbaaaaabbbaccbcccccababbbccabaabcaaccbbabaacacaacaacbabacbcccccbcaccabcbbabccacccccaaabcaabaaccbcacacbcbaabcbcacccacbacaabccccbacccacccbbccaccbaaccaccacbcbcaabbcabbbabbaacbaaccbbaaaabcccbbcacaaaaabcccbbbbbbbaacacacabcabaacbbacbcbacbbaaccaabcccbbabbbbbbbbacbcbcaaccbbcbcbaabcbacabaabacabbacaccabaccaacbaacbbaacccacaaaacbbabcabbbccaaccbbacccccacacbcccaaaacacaacacacacacaacbbaacbbacaaaabbacabaaaaaabbcbabcbaaabacbcaaccccbcbabcabccbcccbacbccbcaccbbbaaacacabcbaaaaacacbcaacbcbbabccbaacaabccccbacccacacacaaababcbcbcaabbcaaccacbccaaacccbacaabcaccaabaabcbaabbbccbbaaabccbabccbbcaaacabbbacbccaaabbabaacbbcbcaccabbbcacbaabcababcabbbabcaaabbaaacbcaabbcbbcabcccbbbcbaccbbacaccacbbbbccbccabccbcccacbbbaaaaaaaacaccaaaaccbaaacaaabbccbbabcbbcccbbbbaaccacaacbaccbbcaacccbbbbcaacaaabbbbbccccacaaababaccabbccaacbcaacacacbccccaaabbbacccbaaaacacccaccbcbbbbbcaaccacbacabbbcccbcccbbaccabccbbcacaabacbbbbacbcccabcabaabbbbcabbabbbbbcbcbaaacaacbaaaaaaccbabbacaaaaacbabbbaabbacbbabbcababbabaacaacabcccbbbcbccccbabcabbcbabaabbacacaaacabbbcccacbbaacbbacccabcabbbccaacbbabbbbcabcccbabacaaccbcababccbabbbccbbbbaacacccccbaababacabbbccaacbbcbaabccaccbccbabbcabccabcaaabaaababcabbcbcbccccbbcaccaccbabacbcaabcacccabbabbccaaaaabbbabbcbcaabbbcacaacbacbbbbaaaabccccbbacccccabbbbccbbbbbacbcabacabbacccbbcbababbbbbacaabbccbcaccacbaaabaabbaccaacaaacaaacbbcbbbcaabbcbbbbbbabcbacbbcbbabacbcabcaccbaacaacacaccbccbbaccccaccacbbabbcacbcbbbcaabaacaabcbbabcaaabcabbaaabcbacbcabaabbacbcabcaacbabbcbcbbccbcaacbacabccbaccababbcabaccbbaabbabbaacacccacbbbaababcaaaccbbbcacaabbaaabbbcabbabbcabbccaaccbcbaaaabbbacabcaabbcccabbbcabaabcccbcabcaacaaaababcbcabaccabcabaabccaccaabacbcacbbccacaababbcabbabcabcbababcaaabbabbaccbcacccaaacabbbcabcbbcbaccabacbcccaccbacccabccbcbccbcbbcacaaaaaccbbbcacbbbccbcbabaccccccbbacaabaccbbccbaacbaacbcbabbacabbbaccbcbcbbccbaacaabcbbabbbcabbcbaccbbbacbbacbaabbbbacacaacbabbccaccaacbcaabcabaaabaaaacbbaaacbcbbabbbabcacccacaacbcbbbacbbaaccbacacbbcccbcaabbabaccabbacabacacaaaabbcbcaabbbbacbbabcccaaababbacbbbabbbbccbbabbbaaacaaaaaaaaaacabbbcacccccbacbcccbabaccaacacbcabcabbbcbaccaccbcacccacccbbabbcabbbabbcacbcaabcaabcacaccbbaaabcbcbccacabaaabccbbbbccbbbcbbbbcaabbccabcbaababaaaabbccbbccbaacccbbcabacacababacaabbaaacbbbacabcaccbbcaabbbccbcabcaccbcabaacaaabccabbababccbcbbcbccababbcaacaaababccababbbacaaccabbaaacabccbcababbbcbcbcacbbbccaabccacabbbcccaabaaacacbcaccacbbacabbbcccbacbcbbccaacbbbbbacacbbaabbcaaababbbacbbccababbccaaaccbcbcccaacacbbcbcabbaabbbacbaccbacacbcbcbcccabcacaaacaacbaaabbbaaaccccbabbcbcbcabccbacaccccacabcbabbbcaabaaaccaccbcbcbbacaacbcccccaacabacbbbbaabcacccabcbccaabbababacaccaababaaaaaaccbbacacbabcacacccccaaabcbccccabaabbbabbbbcbbbabaacbbcbbcacacbbbcabaaaabcccccbcbacbbbbbaabbacaaccacbaabcbabbacacbaaccbbccabcaabbcbacccabcaabcabcbaacacccbbbaccbcccbaabaaaaacacacabbbacaababbabaacccbcabbacabbbbccabaacbbcaaccbcabaacababbcabcbccabaccacabcbcbcbbbcaabccaaaaaabaabcccabccbbccbaaaabcbaccbbababcaaccccbaaaaccbbbaabccccbccaccbcabbcaaaacaabbcbaacaccbaaacaaccbbaabbcbcccaccccbbcacbaacaabbccbbacaccabccbaaccaabbcbabbcacabaccbcbaacbbbbcacbbcababbcacbacaaaaaaaaaabcbcacbacccccbacabbcbbbbcababbabbbcbbbcccbbbbbbaabaccbbbcbbabbaaacacbaaaaababaacbbbabbcabbacbccacaaacbcbbcbcbabbcbccaacccababababccabaccbabbcaabcacbabacbaabcabacabcaababccaaacbbbaaacaccabbbbbccabbcbabccbbccccbbaababaccacbbabcabccbbcccacccccbcbbbbabbbaccbabbaabacbcacaababbaacccbbcbabbcaccbacaaccababcaacacaacabcacacabaaccacaaccbaaccbabcccbbcacbacbaaabacacacbbccccbcacccaacbbbbcabcbabcabbcaabbcccbbcacccccabbbaacbccacbbcbbbcacbbaabaaacccbaaaabacbcacaccaaabacababbaacbcacbcbbcacbbbbaacccbbbccaaaccabbbbabccababbbaaacabababcaabbcabaaacbababcbacbcccccccbbabbcbbaaabababcbbbbbcbbcbbbbaaccacbabcccacbcabababbbbbbacbacbbcbcacccccabbcbcbacbbaaaaabaccaccbbbaaaabaaaaaaccacacbacaccbbbacbaabababaacbababacacbbbcababbbcbbacaaacabbbaacaabbbaabcaaccaabbcbbaccaccbabcaaccbaabaabaaabccbbbcccbcbabacacabcbcababaccacabbacaaccccccaccabbabbcbccacaaacbcaacbbbcbcaaacaabbacacbaccbbbbacbbbbcabaccccbacccccbccccbbbcabbaaaaaabbcabcbaaaacacbbcacacbcabcabbacbbaaccacacccacabaacbbabacccbcaccabcbbaacbccccacbcabccabacabcbcbaccabcaabbcaabababccaacaccaaabaacaaacbcaaaaaacbaacbaccccacaabaacaaacabacccabcaaaacbcbbcbbbbaaabbabbcbbccccaccccaacccccaacabaaccabbcbbaacaabbabcbcbcaaaaaaabcbcbbacbaabaabcbcaacabacaaaabcbacabcbcacaccacabcbacbabbcaabbbbabbbabcbcbccaababbbaaabbccabccacccbbacbabbcacccbabbbbbcabaaccbbcbbcaaabacaaaacaabcabacaabaabaaabcbbbbbabaabcacbaaaccaaabcccaaaccbcababbabcbbacccabcbccbccbcccbaacccacacccaaacbcababcbabcbbcacabaccbcabbaacbababcaacbbcaabccbcbbbaacbbaccccaaacbcbbacbbbabbaacccccccaabbccbccbbacacbbaacababaacabacabbbbccbccbbbccabcbcacbcbababcbcbbbbbccababacbbaccacccbcacbcbbacbcabcaaaaaabbabccbacabccbbabbabacccababaaabbcbabbbbabcbaacbcccacaaacbbabbabbacabbabbbabbcbcacbcccbabaaabbbcabbacaacbcaccbcbaabbaabbcaccbccaabaaccbcaabbbbcacabcbbbcaacabbacabbcbacccacaaacbabaabcabccbbbabaccacbabbbbabbcbcaacbaacaabbabcbbccbbabaccacababacbcabaccbcaabbbcaccccacbbbaababccabbacbcacbaabbcabaacccaccbabcbaacbbbbcbabccbcccbabbbccbcacbbbabbcabccbaaabcbabacaccaccccccccacbcbacacbbaacccccbaacabaaabbcbbcaaacaaaaaccaacaacbcaaccbbcbaaabccbacabcacccacabcbccbacaccbbabaaacaccababbacbbbcaababccabcaacbcccbbabccacaacacacacbaabbbaacaabcaacbcacbcbabbbcaacbabccababbaabcbbccbbabaacbcccbbccabacabbbbccacbcbbbbbaabbccababbcccaababcaabbbaccabaababbbcabaaacaacbbcabbbbbbbcacbbbbabbbabccaacbbababcbaccaccccaacbaabcbabacbbcacbbbaabaccbaaccbcaccacccacbbbbccbbabbacbacbabbabaacbcaaccbbbbabaaccaacccbaaccbcabcaacbabbccacacccaccaaacabacbbaaacbaacaabbcacbabcaabbccaaaabcbacccbabccbbbabbcccaccbccbbaaaccaacaacbcbccabbccaaacabcbbabcabbaaacbccacbaccbbbaaabcccacbabbcbbababbbabbbccbbbaacccabbaacacbcbbcbacaaccbbcacccaabaacbcbbbbbccbacabaaaacbcaaccabcabbababbbbcacbcabccbbccbbabcaacccbaabbcccccccacaabcabccaaababbccbaabbaccacbbcccaaacaaacbbacbcccabaacbccabcaabbbaabccaabcbcbacabcccababcaccbabbbcbabbbcacbbccaaabcabbcbabcbabbabbbaccbbcccbabaacaaccbbbcabcaccccbcacacbaccbbccaaaacbbabccacaacabbcbbaaaacacbcabbbccaabcbaabbabbcbcacbbcbbbcbcbbaabcabaacbcaabbacbcbccccababbcbaaccbccbaabccabacbaaccababccbccbbbabacbcabcbcbaaacbbbbcaccbcaccbccbacbaacbbcbabacaabbbbcacaabbbbbaccbaaacabbbaabbcabccabcaccccbbbabcaccaabaaccccaaaacabaccababcbbbaaacbaaabacccaccabaabaacbcbcaaccbaacbcaaabbaabcbacbabccbcccabbaaccbabbaaabbcbaabbbcbaccaaaabccaaaabcaacabbbbabccccabaccccbcbbccaacaccaabbababaccbcccaccaaaabaacacbcbcbccbbaaabcbccbababcbbabbbbcbcaabbcccccbbbaacbcbabcaacabaaaabacbbbbbbbcbbaccbabbcaababcabbbcccbccccbacbbaccccbaacabbaacbbabbcbacbcaabcabbcbbacbcaacaccbbcbcccabbccacaabaaaabaccbccabacaaacbcababbcbabcbbbcbbacaaccabbaaabcacaccabbcbacbcbbabcbacbbcccabbbbacbabccbbacbaaccacbcbaaccccccaaabcacccaacbabacbbcbbacaabcabacacccccbabcacbcccbbccaaababbabcbccbbbbbaacbcacbcbccbcbaacacaaaacbccccbabbcacccbacbaabaaacaabccccabaaacbacbcbaacbbccbbccabaababbbaaabacabbabcbbcccaabaaabcabccaaccccbcbbbaaabcababbbbaabcaabacbcabccacbbcbcbccbaababbbcaccabbababccbcacaacaaaacabcacabacbababaccacacacbbaacaacbbbbcbbcabbcaacacbacabcabbcbabcbaaaccbacabbcaaaacbcaaacbbccabacbabbbbbbbcbaaaababbabcbbcbabcbcbcbabbcbbcabbabbaaccacabbabccacabbcbbbaabcaabbbccbabbaacbbaabaaaabaacaaccabacccbaaacbaacbacbbcbccabacbcaaccbacbbccacaabbbbcabcbaccbcbcccccaccacccacccbbcbacaabaacbcbcaccaacaccccacabcaacbbbababcabbacbaccbacababacbabccacbcbbbcabbcaccabbaacccccbbbacacacbabaacccbcbbbacaccbbcbaaaabbcaabcbaccbcbcbaabcabcbbcaacbccbbcaabcabcbccacbabbbaaacbacbaabacaacabbbbccbbbacabbbabcccaababbacabbaabbcbaacbccccbbabbacbacccbabccbbaacacacaabcbacbaccaccacbbbababaaabaccbbbabcabcbcbaaaababcbcaabbaaccacabaacbaccbcccbccbcbbacccbbbcaabcccbcbbabaacabcaaabccacbcaacaaabbbbbaacabbbcbbbacccaccabcccbaacbaacabcabbacccaaaabbacaabbaabcaabcacccbcbbacabaccaababbbabcccabbbbabacacabcccbbcaacabbbccbbcacabaaaccacacaaaacbbcacaabbabbbccbbbaabcccaaaacaacbabcccaacbccbbccbaacbcbbabaabbcbcababbbccccbbbbccabacacccacccaabbbaabbcbccccabbcaaabacaacbacbbbbabccbcabcbbaacbcbabbabcbaaabcccbcacabaaccaccacacbbcbccacbcaacbbcbbaaccaaabcbaaacacacbbabbcbbabbaabcbacbccbbccccbcaabcabaaabccbccbccabbaaacbbcbbbbccbcaacbbaaabcccccbbabcbaccabbbcbccabccbccaacbaabbacccaaabcabacbabcccccabaabccacbbabacccbbacaacacaabcaaaacbbbcaabbaabcababccaabacccbaacbaaacccabacbbcaabbaaaacbcaaccaacaccaabbbbcccbaccbcaaababcaccbbbbaabbaababaaacacaaaccbcaccccacacbbccabcacbaabcbccabacacccacaccbcbcabbccacbbaabcccbbabaabccabbaaacabaaccabccbcccabcccaccbababbaaccacabaccbbbcbcccaabbacccbacbccbcaaacbbbacaacbacccacccbaaaccbaacbccacabcaacabccaabaaccbababccabbacbcabaabbacbbacabcaacacbbbababcaacccaaaabcbbbaacaccacbbabcbcbbbbcacaabcbabcbaabacaaaabaacaaaabbabcabbcabaccabbbbccccccbcbaaaaabacacbcccbbacbcbabbccccbbaccbbbabaaaaccabbaacbbcbacabbabcaabbbaabccbbaabbbbcbccaaabaaabcbbcccabbababccbcccbcaaabccabcabaaccaabcccbccbacabcababccabbbabbacacbbbcbaaaaccabbabbccaabbabccbcaaaaccacbbacbaabcbcbbacbcaabbccbababbabaccccaccbccacacbacbccbccbcacbcbccaccbcacabacccacabccbbabcabbcccbbabaacbcbacbacacccaaccbbbbcbcccbccaabbaaaacbcacababcacabcbcbabaccaaaabacabbbcabacabcaabcaabcccbbaaacbccbbacacbaabcbcbaccbbacccabacaaaababbbccbbbacbaccbbaaacaccbaaabccccaaabbbacababcbaacbccccccbcbaccbcbbcbbaaacaaccbbaccacabbaabbbbcccbbabcabaccaababaaaacbbacabaccccbabbccbcacbacbacacabaaccccccabacaababbacabaacacacccbcbbabacbbacbabcccaaaabcabaaaaabaabcbbbaacbbcbbabbaacaaababbaccaacaababaaabcbbacacbbbccbaacbbccaccacbbabbcaacbcccbcbccccaaabbbbabcbcbcbaaabcaacacaabcccacaaccababbccaababaaaabcbbcbababbbbbccababacabbcbbbcacbccbacaaabacbbaaababaabcaaccbaaccbcaaabaaccbbcaaccbbcabbcbacbbacccbcabbbcacccbbaaaaacbccacacbccbbbbcbbbcabbbcbcbbcbbbbcabacacbbaabaaacbbbbcbaaacbbabccbcbcabcacaabbacbaccacbcbbababcabcccbbbbcabbcbbbaccacaaaacbababcacbabcbaaccaccbabacbbcabcbbacbbabcaacccbbbbbaacacacabaacbaaccccbccbcabaccbabbaccbbbbabbabcacabcababccaaaabacbbbbbaaabcccbbcaacabbbcacaaccbabcaacacbbbbabcacbaacacabbbbbbcbccabbbcaccbabbbaaacacabbcaccabbababaacbbaccbbcacabaaccabacbaaccbcabaccaaacbbabbcaaaabaaabccacaabbcbcacaaacaccacabbaccbcabbabbccbcbbccaccbaacaabbcaabcacccabcccbcabbbabbcabaaacabbabcaccabacabbabacaacaababcbaababacaaabaccaabbccaccaacbacabacbabcaaccacabaaabbcccacbcbbabcbcaabaaccacbaabacbcbbbcccaaabcabcbaabaabbcabaabbcccaaaaabcabbbbacccaabccbbbaacbbaacbcaacbbccbaccbcbcbcbcccbcaacbacbbbacacaababbbbacbbbbbabcbbcbabccaacbaababcabbaaabcabacaababaccacbbbbcbbbbabbbccaabcbcbbbacbaaccabaaacacbbabcbccbccaacababacbcaabacbccbcbbbccaccbabbbaaaabbacbbccabcacaccaccbaaacbaacbccaaaccababbcccacaaaaacacccabcbcbabbbabbbcbbcbaaabcaaaabaacabbbbacacbacabbbbbcabcbbbababcacbbbacababbbcabbcccaccababccccaacabcbbbaaabccacbbaccabababcaccabcacbbccacbbccaacaaaccbacbacbcbcacbababccccabbbbbcbbcacbabacabbcbcbccabbccbcaaacbcbabbccaaacaabaabcabbcbcbcbabaacbaacacbabcbccbbacccbacaaccaacccaccbcccbaaccbcbabacaabcbcabcaabccbbacaacacacbbccccabcbcbabbbbbcbcaccabccababbbbbacbabcbbabcababcccaacaababcbbbbbaaaaabbabbcbcbbbcaaaaabbaaacbcacabaaccaacbbbabaccbabcacccbabcbcccccbcbaaabcbbbbcccbababcbababcababbccbbbbccaacacccbabaccbbcccabaaacaccacccccbbabbbcaabcccacbbacbcaabcccbbabbbbbaabcbccbcabcbcbccbbcabaacacbacbbabbcccccbcbcaabaaacabcbbcaacacbabbabbcaabcbccacaabbbbbccccccccaccacacabcbaccaaaccabaabacbbcbcccacbccccccabbbcacbacaccacbcbcbbccbabcbcbbbbabbcbaaaacaabcbccabccaabcaacbbababaabbacbcabbabaabbbababcbbaccabaabccbcaaababcbcbbcbccbaababcbbaccbabccabcccbcabaccbbbaabcbacacbcccbcccbcbcbabbaaabaabbccaccbacbaccabbcbabaaabcbcacbaccabbaaacabcacccccbbbabbcacccaaabaccccbbcbbcbbaaaabcbccabcccaabbbbccabccacccaccbbbccbbccacbabbccababbcccbbbacccabcbcbccacabaccbcaaaabacbcbbaabbcbaaaaabbcbcbcaccbbbcccacbbbabcccbbbbcbcbabbcccaaaabcbccabcabcbcababbcbaaaaabcabbbabbabcaaaabaaccbbabccacccbbcbbcabbccbcbcbcccaccccccbacbaabcbababcacaccacbcaaaaacbbacaabcacaaabbcccabbbbaccccbccacbaccaabbbbcbaacabbbccbccbcbaaacabaaaaabcbbcacccabcbcbabacabcccbaaaacbacccacccaaaabcbccacaacbcbcabacbacbacbbaaccbaacbbbaabccbcbbcabbabbaaccbcbaaccbaccbaacbacbcccbaabaabaaaaccccaabbccbaaacabaccbbbaacbabaababbbbcabcabbbbbcaccaabacccacabacabaaaaacaabccccbbcbabaaaaabbbaabbbbbccbbaaacccabccbaaaabacacbbacccbaaacaccbacbaabcbbaababbbbbaaccbcbaabccacacabcabacaaaaaabacabcacbbbbacbbacbbbbaaccbababaababccccabaaacababbaabbbcaccbbaabbbcaabccacccbbaacbbcccabbbbabbbaaccbcbcbbbcbbcccabcaacbcccaccbbcbcbcabcccbacbaaccbbbbcacabbbcbacbccaaabbcabcbaaaaabbcacbbcabbbacbbbbabbbccbcaccccbbcbbbbcaabccbbbcbbaaaacabaabbacccacabbbcbcacabccacbcaaacabcaccaaaccbcccbbbbbbcbbccbbccaccaccccbbcbbabaabbbbbbcacbbcbbbcacbabbacbacccaabaccbabcaccbccbbcaccaabababcbaabcacbacccabcaccbbaaccacccbcbbcbaacccbccacacacbbbccaababcabbbaabacccbabcabbbacaacbacbabcbccaaabbbabaabccaacaaccccccbcaaccaacaabbabaaccbcbbaaabcbccbbbaabccbacacbaccbcaaabbbcaabccbcabbcbccaaabcbacaccbabacbbabcacaccaaaaabcaccbabaacabaabacaabccaacbabaabacbbbcbbccbacccbabcbcbabcccaaaaaaacbbbbbaaabbacbcbcbccaacbbccbaaccbacbabbccaacbacabaabaabbbaaabcabbabccabcbabbbbaacaabcbbcbaaaaaaaacaaabcbcccbbbcaabacccabbacaaaabbaabcacbcabbcbabaccaabbabccabacacaaaabccccaaccbbabcbcabaaccbcabababcbaccbcbbbbccbcaaccbbbcbcccbbccbbbacbccbcbcbbbabbaacabcbbacbcabbacaabababaaabaaaabacbcabbabaaacabacbbcabbbbacccabbbccaacbcbaacbaaccccaacabbccbaacabbcbcccbaacaaabbcacbaabbbcbbbccbbcabcccbcbbaccacacaaacbaabccbccbbbcbaaaaabbcabbacbccbabbabccccbbaccbcbccbcbccbbabbbcacbcbcaccbbbbccacbbabaaaababaaacacabaabbcaccacabacbbabcbcaaaaaaccbabcccbbcbccbabccbccbcbbbcaabacabccbbcbaaabaaabcbbcccaacbbbbcaccbbbbacaabacabccccabbacbabacbaabccccbcacbabbabaabcaababcabbccacbaaccabccbcaabbaccabccacbcaaaacabbcaccacaaacccbbabcabbbbaacbbacbaabaccaccccaacbbbbbbaccaaacbcbbbaccbbbaacccabacbccbbaccaccbcabbccaccbbbccbbcacaabbcacbbbcbbcbaabbaaaaabcaaacbbbabbbacbacccbaabcabacbcccbaacaccbcacaccbbbbcbccbcccccaaabbcccbcbcbabbaccabbbbbabacabccbcccaaccacccbcbcbbaabcaabbcccccccbccbbacbbbacbbaabacbccbabbaaccbbabcbabbaacaabbcbbacbcbcccbaaacbbabbacaaaccccaaabbacaccbbccccbcbacbbaaacbacabbacacbcaabbcbcbbcabaabccacccbcabbaabcbbbbccbbccbabcaaaacaabcbbcabbabaaabacbbacaacaaccaacaabccabcccabacaacbcbaaccacbbacbabbcbcbabcbcbbbaaaacacacaacaacaabbcbcbacccabbacbacbbaaaaaaacacccacbabcbcaccccbabbabbbbcabbccaacacbacabaacabbbaccccaabbcaabbabaabbbcbbacbbcacbbcccaabbaaaabbbccbaabcaaaaaacbabaacabbbbbbbcbabacccaccbbcabbacaabbcbaaaabcbbccbabbbcbcabcbcabcbbccaabaabababcbcbaaabbbbbaccbacbbabcacbaacccbbacacaaabaaabcbacccbaaaabcbbcbcccacabccabbabbaaccaccccaabaabbbcbacccacacaababcaccbcaababbccabcbccaabcbbacbbbccbaaccabaaccacaaaaccccbbacbbbccaaacbbaacbbbcbbcacaababaaaaaaacababbabbacccacccabcacbbcacbbcbabcaabbaabcccbabaacabcbbabcaacbacabccbcccbcbaaaaabacbcaaacaacbabcbbaaabbacaabcbacaacbcbabbcaccbbcabccbcbabccaacccbbcbccccccaacbcbaabaacaaaabccbcaaacaaabcccbaacbbbbbbccccbacacbaaaacbaabbcbbcbbcabbcbbbbaaabcbcacacaabaacaabbbbabacbbcaabcacbbbacaccccacacaaabbabcbccbccccbacbbabbccacaaaaabbcbcaaacbccbcbbabaaacacbbbbaacabbccaaccbcacaabbbcbaaccaccabccbacbcbbbcccacbbbccabcacabacaabaccbabcccacaacabbcacabbcacbaaaaaaabcccbcbccacbcaaabccabccabcabbcbcbacbbcbcacbacbcabccbbcabaabbbccaccaccaacbabaabccccbbbccbccbacabccbabcbcacabbbbcbbaaaaabbaaaccbbabbbabbbbbabccbcabbcacaaaccccbaccbbbbabcbcccaabbbbbacababbbccbbbaacaacbccabcbaabbcaabbcabbbacaaaaabbabcbaabccabccbcbacbbcaacaaacccabbcbccbaacabccacaacbabbbbaacbcacccbcbcccbaabcccaacacabcabbcccbcbcacbccccccbcbacacccbabbcccaacbbcbcbcbccacacbaabacacacbabbacccbbbbacabcbacbccccbbbacabcaabaccbccbaacaabbcaaaaacccbcabbcbbcbcababcaacbbcbcbcacccbbaaccacacbcbccbbabaaabcabccaaababaabbcaacaccbacbcccabcbaccbacaaccbabbaccbbcccaaccbacccabccaaaabbaaaacabaccbccccbbbaaaccaaaccaabaacabbbacccaccabacacccccccbcbcaacbcbcaccabcbaacbbbcbbbcbaabbcbbbcbacbbacababaacbbcaabcabacbccaaacbcabbccacaacccbbabcbcbbcabacbbccbcaaabcbbbcbcccaccbcaaabcbabacaaaabccaabbabcbbaaccabcabacbabcbcbcabbbbbcbbcaabcbaaacaaaccbabccbccccaccbbbbcbacabaccaccacbcccbaabbcbbabaaabcccbccbabbcaacbaaccbaabbcccbbaacbaccaccaccbcbbabbabcbcbacccaabcaacbaaaaabcbaacabbccabaabcacabcabaaacaccbacbbbcbabababcccbaccbacbaabbaacbaaabbbcabccbbbaccbbaabbbacacccacccacabcaaccabccabcbcabccbacaacaacbbabbaacabbbcbaaaabccbbbcabacabbbabaacbbbccccccbbbbaaaabbccaccbaabbacbbccbcabbaabcabcabbabcbcccaacbbbaaaccaaaacbaaaacbcabbabaabcabbacacbccaaacccbaccacbabbacbaabccbccbbabbacacabbcbcacbbcbacbbcabaaaccaccbbcaababbaaaaabbbabbcbbbbcacbaaabccbbabcbbcabbbbbababaaacabbaaabacbacacbcccccaaccccabccacacabbaacaaacbbabcbbbabbccbbbcccbbcccaaabbbaabcccacacbcccacccacbbcbbcabababbacbbabccbcccaaacccacbccaaaacbaccbbabaacbcbbaabbbccaacbcbcbaabbccbcacccbacaababacabaacbabbbbacacacbacaaabcabaaccabbccaaaaacccbbbbcaaccccababaccaabbbcbbabbaacbababaccbcbbbccacabbcbabacabccababaacabcbccacbacccacacabcacacaccbaacabbcabccbcacbbbbbccbbacbbcaacccbbcbabbabbcaabbcbaacbabacababbcbabbcacaccabacbaabaabababaccbbacccbbbabbcaaaaaccbcbacaaaccbcbbacabbccbaaaabcacccbbbcabcbccbcabccaabbbcaabacacaaaabaccbbbcbbabcaacbcacbacbbaccbcbcbcbaaccccaccacacbccabcaabacacbacccacbbacbcbccbcbccbccbcbaccbaacbbaaababcabcbaccabcacabaccccaccacabaabaaabbaabbbacabababcaabacbacaaabaacccaccacabbabccbccbccbacbcbbcbacccbaabcacacccaabccaacaabcccbbccbaacbbbacbcabcabaabcacabaaaccacbacbccbcccbaacbbbaaccaabbbaacaaacacbbabbcacaaaacbcbaaabccabbacacabbcacccacbcbcbbbbabccbaabaaaabcaaaacacbacccbacbbabbacccbcacaacaccbccbaaacccbbaabaaaccbabcbacaacccacbbcbbccccacbcccbcbabbbacbbbcabacabccabbccaabbbaabcbaacaabcccccaccccaabbcaabbcaacacabaacccbabaaacbccbaabccaacbccbccbaccbbbcabcabbabacbcbabcaaccbccbcaaabcabaacabccbcacacaccbaabbbcbacbcbbbbcaccaabbccabbbcbaacccbbaacabbababbabbcabccbacabbaababccbcbabaaabacbbaacccaacacbaaacbabacbbcbacaacbcbacacbbbcbbbabcaacaabcbccacabbbaccacccaabbbcbbaaaacaababcbacbcabbcbbbaabaabbbbbabccaabacbbbbbacbabccabbaaabbbcabcbabbacbbcbccbbbccbaaabcbababcbccbbaabcababaccbbcbbaccccacbcbcabaacaaaacacbbaacbbbccaabbbbbcabccbaaaaaaacbbaaaaaaabcbabbccbbbacbabbcaaaabbcbbcbccbabbcbbabbccbbbabccbababccbbbbccacbcbaababcbbcbcabbcaaccbcccaabbccaaaacbcbcbcbcbbbccaabccbaaabbbabbabbbccbcaaabaaaabcbbcaccbcbaaacaaacbaacacacabaabbaccabcbccacababccccabbaacabcccbcaaaababacccccaaccabbaaaaabbccabbcaaabbaaababbaacbbbbbcbbaccbbcbccbaaacacccabacbaacbaabcbabcaacacaacacacbbbcbbcaaabaacccacabbbacacbcbacbcacbabbcbacbcabbccccabacacbabcccccaababccabccccaacbabbacaaaccaaacbcccaaccbacabcbaacbbccaacbaacaabaaccbbbcabcbabaccaccaccaabccbacaacccccacccbababcacbbbcabcaaacaabbbcacacbaabcbacaacbacbccbbccccbaaabaabbbcabbabcbccaaacacabcbcccacaaacccbaabcbbbcbbabaaaacaaababaabbbbbbbcbacbabcacbbbbaaaccaacaacacccacbbabbabaaaaaccccaacbccbccacabbabcacabbccabaaabcbccccacaaacbcaccbccabaabbccabacccabbcccccacbaabaacbbacbbbccbaccbcbccbbccbccacaaccbcaabcacbcacabbcaaabbbcaabcabbccccacabcbacbbcbcbabcacaaabcbcaaaacacabccbaacbbbaacabccccacabcbaacabbccbccccaccbcccbbbbabccaccaaaabcababacbbcaaaaccbbcbcccbccabaacaccabaacccccbababbcbabbccacbcaabaabcbbaaabaaccbcbabcbccbcbcbbccabccbbacbcaccbccbabaacbaabcbaabcbbbaacbbbcbaaaacbacbcbbaaacacccabbcbbcbcabcacacaccbcbaabccbcaccbabbbcbbacccbcacacabcbcbbcbbaccbaaabcbbacaacbacaaabaacacbcbcbbccacbcbcaabacaaabbbaabcabaabbbcbaccbcaabcacbbbbcbbcaaaaacaacacacaacccccbcbbcbaaaaaacccbcccaaaaabccbbccabcaabcabbccbcbabcaacaabcababbacbcbbbaabcbcacbaabbbbabcccbabcbbbaccaaaabbbacbaccbbaacbccabaaacbaaaaabacababccbbccbaacbbcbcacacbcabcccabbcaaabccbaabccabacbccbccabcbaccbcbabacbacbabbccacaacaabbabbbaaaccabcaaaaabbbaabbaabbacbcaccbaacccacbccacccbccccabcacaccacaccacbacbcbcabcaacbacbbbccbbbaaaabaaacccccacaabacbbbaabbbbbbbacaaacbabbcbcabbacccaacbaaaccbabacbaccbccbbcabbbbabaaabacaaabacccbabaacccababcbcabbcbabcaaabaaaabbccbcbbacaabcaacaaaccaacacaaccbbbbcaabcaabacaaabbbcaccabbbbaacbccbaabbccbcacabbacaaccccbbcacabaacbcbacbbbacacbaaaaacacabbbaccacacacbbcabbacbacabacbccaabccbbccbbccbccaabbabbcabbbbabbcbabbcaacbcacbbaabccccbaacabbbaaaccaaccbabaacabaacbaababbbaababcbaacacbbbabcaacaaccbccabaaabccbcbbaccaccbacaacbbccabaabaabbcbbaababcabbabbbbaacbbbbbbbabccbcaccbabcabcaaabababbbbccbcbbcabaccbcbccbaacbcacbcbcbbbaabacaabaabcaabaaaaaaabcbacabbbbbcaabbaabbabbcbaabacbccacaccbccccccababbaccabcacbcccccccbcabccbaaaccbaabcabacaaccabababccacabcaccaabcbbccacabcbcababcaababbbcacbacccbbacaaaacccaabbccbbbcbbacabcbbcaccbbaabacacbaaaccacbabaacacbbaacaaccacbabbcbbabbacbcccbabbcbccccaaacbccaabbcaacbbcccbababaaccccacbbbaabbbacaacccacacaaaacabcbaaaabbbacabcaaabaaccababccbbbbaabbbababcbcabccccaaccccaabbabcacabccaabcacbbbcbcaacccbccccabbbccaabcabbbbacabaacacaaabbcccaaacccccbabccbcbcacbacabacacbaaabbcbcacbbaabcbbbcaccabbacbcbaacbaabaaaabaabcabbbbcabaaaaaaaaacbbccabcbcabacbcacaabbbaccbaccabbbbbcabccbaacccabaaaccbbbccbcaabbbabcaaacabbabacbbcbccaaaababbccaaaccaacabaacaccbbabbabcbbbcacbccaccbbcbbbbccababcaabbcabacacbaccbbabbbacaaabacaaacabacbbccacbcabbaabcbaaaacbabcbacacbcaccbbbcbcaaacbcacbacaaaaabaaaacccbbbabccccccbccabccccbabbbaababcacbacaababbacccbacbcbabaaaccbccaccaccabacbbbacbbababccaccacbacbbbbbbcaccaabccbcabbaabbbabacbacbcbabcbccbabcacbccbaaacbcaaaabcbcbbabcbcaccacabccabcacaababbaccbabbbbaaacbccaccbacbcabbccbbcaaacbbbccbababbbcbccbcbbcbbbcbacabcbbbaaaaabbabcabbbccacaccaacacaccbbccabccbcbbaccbaaacccaabcacacbcaccbcaccabcbbbcacaaaccaaabbabbacbaaabccaccacacbbcbbcbbbacabcaabccbbcbbbbccacbcbbccbbabcacabbabaabbaabbacccccbabbccabaccabbacabbbbbabaababcbbcbcccaaabbbbaccbaaccaabbbccbabbbbacacbcababaabbaccccbaaabacaaaabbbcbbcbcabaaacbbcaaaaabbcaacabbbbaababcaacbaaabcbbbaacccabcabbbcbabbbabcccbacaacacaccbaabbcaacaaccbccbaabaaacaabbababaaacaaccbcbcaaaaabbccabbacabbaababcacbbcabbaacbbcaacacccbcbcbbaacacbcaababbabbbaabaaccbaaccacbaacbbcccacabbcccbbccacbbcbbbaacbbcbcacccbacaabcaabcbcbaaabacbcaabbacccababcbbabcaabbcacabacabbcccbbabbbbcbbbaabcaaaacccccccacbbbbaccbbcbbaccccbbcacbcabccbbbabbccbaccbcbabbacbabbccbcaaccaccaacbbcacccabbcbbbccaaabacbcacbacbbaaaabcbababaacbcaabacbaaaacbbbacbbcccacacccccbaacbcbccabcccbcabccabaccbbbbcaaaaacbcbaaaacaaccacbacbabcaaaaabccabcaacacabcaabbacaccacababbacabbbcacaaabcbcbcabcbccabaabaccabccccccbacbbbcaaaaaacbccaccbacaccccabcccabcaabbabacbaaaccacabaabbabbcbbcabcbabacbaabbbcccbcccacacbcbbcbabcbbccaaaccbcbbbbcbbcbcbcccaaaaacaacacaabbcabcccaaaacacabbcbbbcccabcabaccbbaabcaabbbccbbcabcbbabbabccbacabcabaabcbccacbacbccbcbcacacaccbabcbcbabcabbcaacccacaccaabcacbbccbaacaabbbacbbbbcacabcbbbccbbbbccbbccbaaabababbabcaccaacabbbcacababaabccbbbcaaacccaabcaababccacbcbcacbabccabaabcacbbabacacbbaaabbbaacaabbcacacaabbcaccaababccbaaaabcbabcaabacacaccccaabbabbcabaaabbccabbccabcacbcaaaaaabacccaccacccaaccbcccccbcbaabcacabaaaacbcbbaacbcbcbbcbcacbcbabaccaababaacbaaabacbbbccbacbbaabcaaccacacbbacbacbbcabcbaccabaaaaacaaaacccacbacbcacbbcaabccbcaabbacbbbcaabcbcbacbbabacbbccbcccaacbbcabaacbbaacaccbbaaaaacbbaabcacaaaaabcccabbbaabbacacbbcbcccabcbaabacaaccaacabbaaaaccbbaababacbbaacaacbbccabbbccbbcabbcbaaccaabbcabbbcbbbabacbcbcbbcacacbbbbabcbabcabbbaccbccbcccacaaccaaabbcabacccccccababccbbacaaabbbcabacabaaabcaabaacbcbaaaabbaaacacccaaccacbbcbaaabbcbbbbacbaabaaccbcababcacacabbbcaacbccbabcaabbccabacaacaabbcabacbcbababcbcabbbaacbabaabaababbcbcccbaccbccbacabcccbbbcabccccabbccbbcbbaccbbbabcbaabacccacaaabaabbccacbaaccccababaaccbbcbcccaccabcbaaccacbaaabbabcbaacbcbbbcccbabaacbcababbccccccaabbbacbbbcacbbcbaacbbbaccbcbccccaabbccaaaaacbaacbcbbaaabaaabcbccbbacabacbcbabbbbbcbbcbbcbaacbabcbabbcababcbcaacabbcaacabbabccbcabbaacabacbacabacaacbacabaabaaaabccbcbcccabbaaaacbbbbcccccbccccaaaacaacbbbbbaacbbbcabbcbcccabbcbbbbbbcacacaabbacabacaccabacacbabcaaaabaabaaabbcbcaabbbbbaccacbcbbabbacbbacaccacbbcbbbcaaaabbbccacbcaaaaabcbcbcaaaabbcaaabcbcbcbabbbabbccbcaaacccabaacaaabcabcbbbbaacabbabbccabaabbcbbacbabbbcabbcaccaccbcbacaccbcccabcabcbbcaaaccbabcbbcaabcaacabbbacbbaaacbcabaccbbcaabbabacccbbaccacbabcababbacabcabbaccccbbbbbbaaaabaacabacacbbaaccacccacbacbbbbaacbbbcacccbcbccbcaacbcbccabbccacaaaaabbacbacbcacbbbccbbabcacabcbacaacccbaabbacacbaacbbcacacababbcabcbabbcbbaaccaccaaacbbbccacccccccabcbbcccaccabcababaabaaabcbabccabbabacabbcbbbccccbacaaababbbbccacbbabbacacacbaaabbaccaaacacbbbcbcaccbcabacaccabcbcccaabbacaabacabccbbbccabbbaabbaabbbcbacccbabbbbbbcbacabbcaacacacbbacaacaaaccccaabbbbacacbaaccbaaaabcccaccccbbcbabbcccccccccaccaacacbabcaaaaacabccbaaacaaabaaaccabacbccacbaaabaaabbcbabbaaabcbaacaabcbbccaaabcbaacacbacbacabbacabbccacbaabbbaaccabbbacabcacbbaccacbbaaabaaaacbbbcaabcbccbcccabbaabcbabbcabccbbbcaaaabbccbcbbbbacabcbbabbaabbaacbbabacacbbbbcacbaccaabbcabcbcaabcbaabacbaabababacaabcbcbcaacbbcbbbbaccacacacccaacabccaaabbbbccbbbabcbbaabacabaabbbacbcaababbcbbbaacbbcacbacccbbbbbaacbcaacbabaccabcbcababcbabccccaaccabacbcccbaaabbbbbcacbccaaabaccbaababbbcbbbccabaabaaccbabacbccbabaaccaabbcabacccaaaccacbcaaaacabbacabacccaaabbabaacaacbacbbcbbbbbbcbbcbaaabcbcbaabbbcacbbcabbbbbaabcbbbabbaacccbcbbcccbcccabbbcaacacaabacabcbbcbaaccaaacaaabccacaaabaaacccabbcabccababcaccbbabaccacacbaabbaacbbbaacbcacabacbbacaacccabaaababbcabcbacbcbaccbaaccbccacacbbbbcbaaabbcccbbbbacbcabababcaaacbcaacaacbaaccabccacccbacacacbbbbbabcabcabbccaababacabcacabbbbaaccccbabbcabbaacaabcbcabccaaacacbaaaacacbcaaabcacacbabacbabbbabcaaaaacbcacacccacbcbcbbacbcabcaabaccbccbbbcccaccbbbcbbabaccccacabcbaacbcccbbaccbbacaabccacaccabacbcaabaaacaccaabbbbbbcbacbbbccccbcbcbbcbacabaabcabbcbcccbaaaabaacaaacacbcbaacaabcbbbbcbacaacccabcaaabbccaaccccacacaabbbaacbcbcbbcccbbcccccabcccbcbaaabccbaaaabcbcbbbabbabaaccaacacaaabbccbbacacacccbacbacabbcaacbbbcbcbbbacbabaaaacacaaaacabccbbcbcacbbbbacabcbcaaccbbcccacbbcacacaccabbcaabbaabbcacbaccaabaaccccbbaabcaaacccbbccbcbcaabbcacbbbacaaaaacaaacbbabcbaacacaacbabbbabaccbaaaaabccabaabaccbaacaaaaaabbbbbbccbababbcaaaaabaabbaacbaaaaaabccbbcbcaabaabbcbbbbccabbccbcbabacccabbbbbaaaaabbaccbbabaaaacacbccbcbbaaabbaccbcbcbcbcabcabcaaaabccaabaccbcacaaacbbaccbcaabccacbaaacbbbbbcbcbbacbaaaaacccacabbaaccbaccaaaacabbcbcaaaaaacaaabccaccaccaccaabbabbacabaccbaabababccacbbacbacbcbcbcbcccacbbabbbcbbbbcaababacabbaabcbbbcbaaccbaabcbcaccbaccacacabccacbaabccaabaaabbccbccbbabcccccbcaaaabcaaccbcbbabcabbcbacababacbcabbbaacabbabacaaaaaacbcccacaaabcbcacaccbacacccbbbaacacccabaacbbccbcabcaacbcaabacbcbcbcbbacbaaacaccaccbabaaaacaccbcbbbbbcacbbbbaababaaacabbcaacbccacabaacccacccacccbbbbbbacccaababbaaccbccccababaacbbbcbbcbabaabaabbccccaaccabaccaccccbbcbcbbacaabcabcacacbbabcccccbcabbcbcbabaccacabbbbabcaacccaabbcbabcaaaccabcbccaccbaccaacbbbbcbaaacabbacabcabcaabbbaabcaccbabbcacbcbbabbabaccaaacabcaaacabbabccccccacbaaabbaabbcbbabccbabaacbbbcbbccacacbaacaaaccaababaccbaacbbabbbbabcbabbacbabcabaabbcacacaacccababbaccababbaabcbabcbbcbaaccbaaacabaacbbbcacbcacabccbacccbcabcccaccbcbcbcabacacccbccbbaabcccbbaaacabaabbacbcabbabaaabccaacbbbbcabcaccbcababbbabcbcbcbcabbcaacbaabcaaccbbbcabbbccbaaaccbccaabbbaabbcbaacbccbcccbababaccaccbbabbacabccacbccaacaabcacbccbcabcaabcbbacbcbbbaaabacbacabcabaacaabccbbcccabaaaccabcabcaaabbbacbbbabcbbabbcbbbbcbcbaabbcbcbcbacbcaccbbaaabbcaaacacbbacbcccbacbcccabccbcbbbccbbbbcabaabaaccaabccacbaabcaccccbccbbabccaaaaacbbccacbbbcbacbbcbcbccbbcacacabbbbbacaabbbbbcbacbccbbcbbcccacbacaacacabacaacaabcacacacabccccacbbbcaacccbaabaabcccaccbaabacabababcababaaacccbcaaccbaabaaabacaacacbcbcccbacbaacacacbcbcbbbbcbcbacbabccbacabcacbbbaaabaacaacccacbccabbbaababcccbcabcbbcbbaaabaabbbccccbcbbcaacbbcbcbbccabbaaabbabbcbcacabbcbbbabcbbccabaccbacccbcaccbaccbcbaccaababbbbacbccccaccccacbcbbaababbccabbbbbbacabbccaacccaccccacbcabacabcbbbcbacaaacccccccbaaaabaacbbbccaaccbaabacbabccaababbcbacbbababbbabbabcaabbcbaccaaaacbcbaaaabcccbacbababcccbbaababbbcccbbabaccbcaaccbcacacbabcaaacaccbbaabcabaacaabacaaabbbbcbaaacbaaaaacababbaccabbaabbacbcacbaccbcccaabbcababaccabbcaccbcbbbaaaacacaacbcbcacacabbabbccabbaabccbaaacaabccbaaabccbaaabcbcbabacbabaabbacabaabbcbcbabcccbbababcabaaabacbabbababbbbaaccabcccccbbababcaaccccaacccaaccaccaabcacabaaacbabcaccacabccbabccabccabbccccbbccbcbcabbbbacabccaaaaacbacbcbbacccabbbbabcbbbcacacaabaccbbcbcabcaccaabbcbabaababcbcbbbccccaaabaccaacacbabbcbcabbcbcabcbabbcbacacacacbbacbabaccbbbccaccaacabacbbbaccccbbbbacbcccbcbbbcaabcbaccccabbaaaccabacbacbcbabbabacabccaababaabbabcaaccacacabbcccbbcacacbacabaacccaccccabcaabcabaacbbbbccabaacacacbacabbbaacabaabccbabbbaabacbcbcbbbcbaabcbbbbcaaaabbbcbcbbcbcbabbcbbabccccaabaccbaaaababbcaabacccacccabccbaacacbabbbcbccaabbcabcccbccccaabcbacabbbcbcabaabbcbbbbaccbccaaccbbbbaabaaccabccbccabbcbbbcbaccacabbabcbbcbcaabaccbcbabcccacbcbcbcbccbcbcacabacbaccbaaabbcbbacaacccaccbbcccbbabbcaaabcccbabcccabcbbbcaabbabbbabbacccaccacbabcccbcbccbcbaabcaccaabbbabaaabbbccabccbacbbacbccabbabbacccbbaacbccaababccbbcaccbabaabcbaaababbbabbcbbcbcabbabccabbbabcccaacbccaaccbccaccabbcbbbcabcaabbcbaaacaaccaccccbbcbcbbcbcbacaacbbbaaaabccacacbbbbcacbacbbcccabcacbbbcaccababbacaacabbcabcccabcacabccabacabcaccbcbbbccaaccaaccbaacccaccabcabcbcabcbcbccaaabbbacacabccaabaaabccabcbbcccbacaabcacbabbcbbcaaaccaabbabbbccaaccacbaaabcccababbcbbcbacacaccccbbabaacccbcaababbaacaabcbaaaababcacccccacaccacbbaabbbcbaabcacbabcaccbbacaabcabacaabccacacbbbaabccbbcbbaabbaccccbcbbabacbcabbcacbbcbccabbbaabcccbbcccccbaababcbbbbbaaaabbaaaacbabcabbbccbaaabacaacacaabbbbacbabbbcacbcbcbbaaacabbaacbabccaacabcccbbccbacccbcccbbcacccbacacaaaabacabbbaacaccbcbcbcaaabacbaaabbaccbbabccaaaaccbaccacbabbaacccaabaaaababccabaaccabaaccbccccbbbcbabccaacbccaccabcabcccacaacbaaacaccbcacbbbbcbaacabcbbccabbbbcacbcaacbcabccccbcabcbbaccaabbbcbcbcacccabacbcbcccccbccaaaabbbbbaccbbbcbbbcabbcbcbccabbababcaacabacbccababcbaabbaccccacccbcabcbaccbcbcacaabbcabacacbbcbcbcccccbabcacbaaabbbccbaaaccababbcaccabbccaacbcaaacabacccacbaccaabcbaccaacabbcabacaacaccabacaacaacccbcbbbbcbbbbbccabacaaccccbbccbbaaaacabccbccaccaccbcbacccaacbabcabbbcbbcacaabcbabcbababaccaabccbabcccbbbccaababccabbcbcacccaaacbbbbbabbabcbcbcbcabccbbbcbbbcbacccbbabbbcbcaabcbccbaabccbccabbcaacacbbacbbabccabbbcaccacbcabcbcababacaaacbabbbaacaacbbbbbabbcbbccbacabcbbaccaabcacbccbababaabcccabbbbccbcbbbbcbbbbcbbbabbaabacacbbbcaaabbcabbaccabccbabbcabcbcaaaabaaaacbbccccaaacaaaccccaababbcbbabbccabcabbbccccbabcaaccaabcbacabbcaaacaaacbabbacbacaaccaaaccbaaabaabbbabcabcccbabacaabbcbaabacccbcbaacbbaacaaabcabcbbcaacbcabcaabcbaacbaaccaabcbcaaababcbaaccacbaaaaaacbccaacccabbcbcccbaaccaccbbcaacaabbcbabacaacbbacbbabcbccbabcabcaababbbbbaccbbcabacccbcacbbcabbaacacacbbaabacacaaaabbbacbcbaaaabacacbbbaacabccaacbccaabbcbabcbccaabacacbbabaaaacacababcccbcbaaabbaaabbababcbccbababaccbacabbaacbcbabaaacccababcbcccaaaaccaacabccbabccacbaccccaaaaacaaacbcaacacbaaabcbcacaaaccaacbaaabaaaacbbbcacbaccbabbbcccabbcbcabaaaacabacbbabbcabaaaaabbcaccccabbcbccccbcacacbabbcccaacccbcccbaabacbcaacaccaaabcabcacccabaaccabbccbbbbabaacccabaccbaaccabccbbcccabcacabaaaabcccaababaababbbbccabbbbabcabcacbbbccabbbbcbaabacacbcbccbaabbcbbcbabbbbababbaccabacacbcabaccababcbbcabaacbabcccbaaaaaababccaacbccacbccccaacbcccbabcbaaabbcbacbaccbcaaccabbacabbacaabaccabbabaaaaccbaacbaaaaccccaacbccacaaaccccaccacccacbbcaccaaacbbacbbcbbcbbbcaabaaaaacccccccbcbbcaaacaaacbbcbabbbbbaaabbacbaaabbbcabbbbbabaabccabbcabcabbbabacbbbabbcabacaabcabaaaacbaabcacaccacaabbbaccbccbacaaaaaabbbcaabbcacabcaabbccbaccabbaabcaabbcabbccbbcaacacbcbbaccbaaccacbbccaaacccbabcbccccaaccbaaaacbbbcbbcacbbabacbabbbaabbabbaaccccccbaabbacccbcccaaaaabaaabacbaaabcccacbaaabaccaccabcccaaabbbbcacbbbbbacacbbaccbccbaacaacbaccbbbbccbcaccccccaccaabbbccbbbcacccbbbbbcbacbacbcaacabcacaccacccaccccacbccbacbbbbccacaccabacbcabcaacacaccbbbabaaaccbababaaacbcabbbcbabacacbccaaacbcbccbacabcbacbcbbaccbabacbcbbcbbccabcabbacabaabacbbcaaacacbcaabbacaabaccbacacacccbababcbcaccccacbaabbababbbaaacccaccaacbbcbaababcacbaccabcbbbcbbacbcabbcbbacabbcbcbcbbabbaabbcaaacbbcbbbbbbacbcbacccbacbcabbcbabaaabbabaacaabaaaaabacacabbabaabccacbbbabbacbbbaacaaaabcccacbbbcbaacbbcaaacbacbbcacababaaccbabbbccbbbaabbababccbbbbbbaabaacbbccbabcbbbcabaaacbbbbbaabbbaacbbcccbccaababaccaacbcacaacababcaacaccaaacabaccccbcaabbccccbcabaccbbababaaacaaccabbbbaccbabaacabcccbcccbbcbbcbcacacccbbabccacccccbcbcccacbbcaabaabacaaccaaabcabbbbcccbcbbbabccabbccabccacbcabcbabccccaaaaabababaccacabbabacaabacacaccbcbbacccababbbbbaacacbcccbbaccaaabbccaccccacabbccaaacbbaaacaaacabacaabbcccbaccbacbbaaabcbabbacaccaababacbaaabbbababacabacbcbbbcaacbbcbaacacaaaababaaccaabbbaabcbacbbcccabcbaccaaabacaaaaccbaccbbabcbccaabcbbccbbcabcbbbcbbbcaabcbbcacacbbacaaccbcaaaaabbcbbacccabbbbbbabcbbaaabbbbbaccabcabacccccacbccccaaccaabcabbacbccabcbaababccbbaaaababcabcbabaaccbbaaabaaaacbcbcaacacbbccabcbbcbcaabbabaacababbacaabcbcaaaabbabcbacacaaabbbbabbcbabcabacccccbcbbbabbbacbaccccbaaaacbaaaaaaabcaaabbbbacbbbcacbcccbbbccacbcccacaccabbcbcabaabcaaacbacbbacccbbccbbaacaabbcabcbccbcbbcababccacccabaabccaacabcbbaabcacccaccbbacbccacaabbbacbbcaaaccbcacccbbcbccbaaaaacbbabccbaacaccaaabccbcacbabbbbccababaabbabcbbaabbccbbccbbbcbcbabcbaabbbccabbbcbbbbccbbbbbaaccbcbaccccabcacbbbccbacccbaaaabbaccccaaaacccbabbcbabcabbaabbcbbacbabcabbcaccaacbbaabccaacbaabbaccaaabcbaacacbccccbaacbbcaccbaaabcacacabacabacbccbbabcabbbaacbabbcccabccbccaabccbccbbbacabbcbbcbbabccabcbbbcabbbcaababcababaabccaacaaabacabcacbabccaaaaaaacaccaacabcbaccbcacbccaacaccabbaabbcbccccbcbacbacbcaaababbaaacbccbcabacaaababaccacccabbacbcaaaacccbcaaaaaccabcbabbbbbcbcbbcccaabacacaaabbaccacbbbccaccabbcacaacbbccbcbaccaaabaaaaaaccbaaccbacabbcabcbbbaaccabcbcacaccccbababaccaaacccabcbccaaabbabaccbabbcacccccbbcaaacbbacbccacbcbaaababccccbccacbbababccabaababbcbbcbccbccaccbcbbcabcccaababbcabcacbbcbbcaabbaaabacbbcbacabcbabaabcbcccbcccabacbbccbcbacbbccbacaccaaacccaaccbcbbbbacbcaaabacbcacbbbacacabcaaacabbbbcacbbabacbcbaccaabbbccccaabbabcaacabcbcacacbbaaaabaacbaaacabcaacbcabaaccccbbbcccabcabcaacccbaccabcabcababcabcbabaabccabacaacbacbbabbccabbbcacaaccabbbcaaabcbcbbbccbbbabbbccacccbcbabbacabcabaabcabccbccbbaabcabcbccabcbabcaccbcaccbacbcbbabbcccabccaccccbbabcccbaccaccacacccacabccabcbcccbcbaabbacacabbcaaabbbcccaacaabaaaaacbccbbcacbbbbacaabbcaabbacaaccacbbbabbaaabbaccbabcbcacbbaaccbababccbcbacbababcbcbbaacbccbcaabacbbaacbbbbccabcbbaccaabcbcbbaaababcbbbcbaabaababcbccccccccbaacbbbcabbabbcaaabacbcbabcaccabcabcaaacbacbbbabacaaccbacbcbbcbccbbbcbaaacaccbbcaccabcbabcbcaaabaacbbacbacccaccbacbccaccbbcacaccccbcacbbbcccccaaaabacabbaabbbcabccacaacbacbbbcbabccacaaccacabacabbbbaccbcababbcbaaababbbabbaaaaccaccbabcabccabbaacbbacabccabcabccbbbbabaaccccaccaacaaabbbabccacacabbabbaabbbaaccbcbacbaabbcccbbabbbabcaaaccaccbcacccababccbbacabbccbacaacbcbbaabcbcaabbaaacabbcbbbabaacbbbabcbabcaccbbcccbbcbcabbabaaaacacacbacbaabbccaccbbcabbcbaababcbaabbccbbcbbbaccccaaacabbaacbccaabccbcaaabcbcbbaccbbacabbbaaacaabcbbcbbcaacbbbbbaaabaabbbabcbaaacbccabaaccbabaabbbabccbaccbabbbacbccbcbbacabbbacbbabaabbbabaaccbbbcbacabcbacbccbaabcaacbbccaabcabacbaabbacacbbbababaaccbbbacacccaaababcabccccccbbcccbbbcbabbcbbaabcbbbacacbacabcbbabccbaaacbabbccbbaccbabbcacbbacacbacbabbcbcbaabaacaacabcbacbccaccacacbbbcacabcccbbaaccbccaccaabaaabccbacaaccccbacacbbaaaacaccabcaccbbccabccbbaaabcccbcacbaccacaccaaabacbcacbabbcacbaccbbbcbaababcaccbbabaacbbcabbacababacbbcacacbacaabbabaabaaabcbbbcccabccaaaacacaaccbcaababcbbababcbccbcabbbacaaabbcbaacccbacccccbacbccaaabcbccbbaabcabcbbbaccbccbcabccccbcbbccaaccbbacbcacbccabbbaccabacaacbaccbcbbcccbaabaacccaabababbccccbcccbcaabacbcaccabcbcacaaccbcababcacbcaccbccbbccabccbbaaacababbacaabccbbbcaaabccaaacbbabbbbacbacaaaabbcccacccaaccbcacaabcbbbabaabcacbccbabbabcbbabcccabcbcbbcbabbbccbbabcabcbbaaabbabbbbcccbbaabbbbcacbcaaaaccbbbcbcbbbacbbaacabccbacaabccabcbacacccbcabcccaaaccbabcacaaccabaccbbbcacbbcbbcbabbcacbbababcacbabbccbbcccbcbaccabccccbacccccacccabcbcacbabacbccbaaccabcaababbcbabcbaacccaaccababaaabbcacacaabbaabcbbbaaaabbccabbaccacaabbbbbaaabbbabbabbbcacbacccaababcabbcaaabcbaaccacbacbcccbbccabbacacbbbbbaccbbbcabaaaccbaccbccabcaabacabbaccabacbccbcaaccccababacccacaaccacaaabacbcacccbcaaaaaaabbcacacccacccacbaccacbbccbbcabbacabbbbcacbbbaccbccbbcacccccccacccabbaaababbbbbaccaabaaaccbacccaaabcabacccccacbaccbaabbccccabcaccacbcabbcccbbccbcbcaccbaabbccaaacaacbbbaabbccbacbbbcaacabbbabbacbbcabcabacccaacabcbcabcbcccaabcaccaccbbacacababccacaacbacbbacabaabaacabbbbbbaaccabcbaacacbbcbacbaabbbcaacaccbaccacbaabccbaccbbcbcaabccbbacababcbabbbcccabacbbbcbbaabcabbbbbbabaaccbbbbcacbcaccbbacacccbacccaabaabcabcaacccacacabbaaacbbaacbbabccabccbbbcbbbbccbbcbaabacbabbbaccaaacabaacbcccbccbccbabaacbabaaababbbcbacccbbbccbaacbbabcaababaacacacaccbcbbbbccacbabcbbbcbcacacabcccccbcabbbabbcbcbaccacacababacaabaaaabcbcaaabbaaacbaaccaaaccbccbabcbccbccccbbbbccbaabaaacbbccbbccbacbbcccabababcacabcbbacbccaacaabacccbabbbccccccacacbaccbcbcaacbcbcbbbbbcacbbccbabbbacaababcccaabccccaabbabcbbaaabbbacbabbccabaabbaacbbaacbabccbaccccaccccabbbacabaaccabaccbaaccbabccaacababcaccbcbababcccabcbaaabaabaababcbbbababcbabbaccccbaabbbbcbbabaacbbabaaabbbcbccbccbcbcbabacbcbcabaaaacbcaaccabbababbcabbaaabacabaabccbcbcaacccccaabcbcaaccababbcacbaabcbaabbacaacbcbbbbcbbacbcacbbcbccbccccabbbccbaababcabcbccbccbcbcccbccabbacccaabaccbaaacabccaaabaccabcabcaabbcaaacbcbabcabbacabcabacabbbcbbabbccaccccabaaacbbabccbaababababbbcbabcaabbaaaaacbacababbcbbbbcacbbcbacbbbabbbabbaccabcacabababbbaabccbccbcbbbcccccacbacccbcababbabcbbaaccbccabaaacbcaaccacbabbbbcbccabbcabbbaabbcacbbbcabbaaabababbbcabcbbbaccacacbbbccbacacccbbaaabaabbacbacabacaaaacbacaabcaccccbabacccbbccbacbcaaccacbcbbcacaccbbcabccbacabbaacccbcccbbbabcabbcabbaabccaabbbcbcccaabacbbacaccacbbcbbabaaccaaaabbbccbcbccbacbbcaaacbccaaabaabaabaaaaabacababcabbabbabacbbacbabcbccabbccbbbcbcaacababcaaabcbbabcbccccbaacccaabcbcabcaabbcbcacbaaccabccbcaacbbccbcbbcbacaabacccccbbcbabcbbabcbcbbcccbbbabbcabccaacbcaaabbcccabbccabcbcbcbbbacbccbaaacbbabaaaabccbccbbbcaccccabccccbbaacbaaacacbcbbccccaabccbcbaccbabbbcbbaccbbaaaabbcbcaabacacbccaabbccaaaababaaabaacccabbcacabccacabbbaaaaccabcbbcbcacbbbabcccaaaaabcaaaabaabbaccaacaabcaccabcccaabbcacbcbbbaababcbbcbcbaacabcabacbcbacaccbacccbbcbbcaacaaacabbbccbcbcabbbaaabcacccbbccabcacaacbccbcacaaabbababcbaaabaacbccccacbcabbbcbcaaacbabccabbaaaccbcabaacbcbcabaacacaacacaaacbacabaaccacbacbccabbaacacbcbcccbacababbcacbaacaccabcbcbbcaacabbcabcbbaabcbcbaaacabbabbaabcacabbcabccacaabbcabbbbccccabcaaacacbaaaaccbacccbbbacbbcaabbcabbbccabbcaabcbbccabbccabbabacbccbabbaaaccaaabacbcbaaaabbacacabaabbcaabababaabcacbaccabbabbbbcbccbbbaacbbccacbcabcacaaccaccbbbcbacccbaaabcbcbbbacabaabbbabbbbbacaaccbbbcbaccbcbaabaaabacbcaabcabbbbccacabcaaaaaacbbbcbbabaaaccbacabbcbbaccbbaaacccccbbccbbcbcccbcabcccccbbabbbbcbbbcabacabccbaababacccbccbbcbcccabcaaacbabbabaaabaacaacbbbcbbcbcbcccbaaaabcabbcaabccccabccabccbbcacccbbbcacccacbbbabcaccabacbccacabcaccbaacbababbcabbccccaccbcbcabccacbacacbacbcacccaaccbcbaaabbbbbacacaababccccbbcccacbccbaabacabcaaaababbcacaabccbaaaaabababbbccbabbcacaaacbabaaccaaacccbcbcabbaacccaaabcabaabacccbcbbacbaabacabaabbacacacaacbcabaaacbcccccaaaaaabaccbcbabcaaccbaacabbabaccaabbacbabbbbcaccacbacaaacbabbbcccbaabbcabbcacbaaabbabbcacaabbcbacbcaabacbbcbbcbbacbbbaccccbbccbbbcababbccbbbcbbabcbbaaaaaaaacaaaabaaaaabbcbababcbaacaccbcabbaccbaacaacbcababccabaacbccbcbbcabcbaaacacbcbcbbacbbbccbcaabaabcccacccaaabbbabbcabcababacccbacaaccaacabcbababcacbbcccbbbacbbccaabcaacccacbaccbbbcaccbccaabcbabccabccabbabacbbbacabccbcababababbabccabaacbbbcccaccabcaccccaaaabccbaaacbbacccababbcabccabcbaabaabccaaabcbcabaabbcbbccccabacbacbabbbccabbaaabbcbcbacabcabbcbcbcbbaacabacabaabcabbabbcaababcbaaaacbbabbcaabcbccabbccbbbbbbbaabccabccababababbbcabbcbccbbbbcbacacbbacabcabaaccabccababbaabaacbcbccabbaacacccaaccbcbacaacacabccccabbaabaccbccacaaccabaccbcccbabbacbabcbabaababaccccbacabaaabaabaccaaacbbcbccbcccaaaacaaabcbbbbbbabcabcabcababbccaccbabcbacaabbbbcbacabbbacbacbbbcbaacbaaacaccccbcbccacabbcbaaaccacbaaabcaaaccabccbbbacacbaccaaccbaabbbabbcabababccbacbbccbbaaabbaacaacaaccaacacbacabbcbacbacaabacccbabbbccbaacccbaababaabbbcbbabaccacabcaabccbbbcbcacabcabcbccbbbcbbaaaaaababbcabbcacacabbabacacccbabaababaaabacbccaabbabcbbcaccbacbbabbbbcaaccaaabcbccbbacbbabaacbbcccacbbccbaabbcababcccabccccaaccbaacbcccaabcbbacaaaacabcabbacacbcbbaabbccacbbaacccababaccaacbbcbccabcaccccbcacbabcbabbaababbcabbbabbaabcacacbbccaabbcabcbcaaabbacbbcbccbabbaabaabaacccbaccaacbccccbacbbabcabaacbccacbccaabaababcacaabbaacaabbbacabaacaaccaccacaabcccbbacbaaaacbbbaacccbbcbaaabcbacacabbabcbabbbcccacacabbbbaaaccbbccaabaabaccabcbababcbcbccbcaaaaabccccbacbcccbaacabcbbbaccbaaabcbbacaabcabaabaabacabbbbabbbaacaabbbcabacaaaccbacbcacbcacbcbbcacabbccabcbbbabaaacbacabcbabaaaabcababcaaaabacbcacacababbaaaabbaaabaaaacacabcaabaaababbcbccabcbaabaabbbcbabcccbcbcacbbabbacbaaccbbcbcbaccbbcabbbbaabbcaacbbccacbccccaabbbacacaaacbbcaacaaccbbbbbabcbcabbcbcacacbaaaabaabcaccbacabaaacbbbbcccabbaacccacbaacabbccaaaaacacbbcccccbbccbabaabcccbaacacacbbcbaabccbcabbacbbaccacaacabcaabaabbcacaabcbbccccbbaccbbabcabccbcbccccbbccbacbbbcbbbcbabcbabaacaccbbcbbcbaccbcaacbbaabbaaaabbcbbbcbcabaabcaabaaaabbbacbbbabbcbcaaacbcbccaacacbccaacbabcaaabacacbaccabaacabacccccccbbcabbbbcbacabbaabbaabccccaccbcbccccabcbbbaaacbcacbccababbaccbcbcbbcacccabcacbcbccbcbaabcbacbcbccbbbbacaacaaabaaacabcabbccbbcbcccaaabcbcccaaabcacacaccbbaabbcbccbbcaabcccbbbcacbbbcabaaabaaccbbaababbabcaacbabacacaabcbccbbbbcaaccabaaaaaccccacaabbccabbaccccccbbcbaabbbaaacaacccaabbbcbcbcaabbaacbaaabcccbaabbbbbaccaabaaaaaacababbbbbbacccacaccacaccaabacaacabbbabbcabccccaacaaaabbbaabcccbbbccabccccabcbcabcaccacacaabcaabcabbcacaaacaccccbcbccacccabccccacbacaaccabaccbbacabbccccbbbaabcbaacaccbabaababaccbababaabcccbcaccabcccaccbccccacbbbacbcabbaaabbbababbcabbbbcbcacbcabcbabbcbacabcbabbbabcbaacabaacbcbbbaabcbbbcabcccabcabcccabaaabccccbcccabcbaccabbcacccbccbcaacbcbacbabbbacbcacbccccabaacabbcccbcabbaccaabcccabcacacbaccbbacbcbacccbacabbcacaaacbcbcccccbbbcacacbcbccbbbbbbaaaaacbcaccbabaabacbaccabbbacababbcaacaacccbcccbcbababaaaabccccacbacaaaaaccbbbacabcbacabaaabccacaaabbabcccbbabacabccbbbbcaccaababcbaccaaaacbabbcaccbacbbcabbacbaccacbcacbbccacccaaababbccbbcbababbacccaaaabcbcccaacabcbabcbcaccbaabbcbcbcbabaacbcbacccbaacaaabbababbcacaaacccbabcbaababcaaabbcabaabaabbccccccbbaccbbbbaaccacaccacabcccabcbccbcacacbcccababccbaaaabacbbcaabaacbbcbccbacabcbaccaabbcbaacbbccaacaaabbaababbbabcbacabaabbbbbacbaabcbbbbbbbacabcaabacbacbaaaaccbaccaacbaaacbbbacbcccacbaaccacaabccbbcaccbcbbaaaabaaaccaacaccbabaccbacbbbccaabbcaccbcbaaaccacabbcabacaacacccbabcbacbababbcbbbabbbbabacacacaabcbaabccbaabcabbabaccccbacaacbbbcbabbcababcaababbcbcabccaaacbbabbbccaabacaccbacaaaaacbbaccaaabcaacbabbaacbacbbabcabaccbacaaaabcbbcbabbcabbbccbcaabbbcaababcbacaacacaccbbacbbbbcacababbabcbabacabcacacabbaaccccbbcababbaabbabacabaacaccabbcbbcacaacabaacacaaabbccacbcccccbabbbbbaaacbaaacbccacaacabcabccacccaabcbabbabbcbbcccbccbcaabcbcccaacbccccbbccbcaacbacabaaabaaabbabaccacbbcbacbacacbcccbaabccabcaccbaaaaacbcbabcbcaaacabcacbccbbbbbcbbabababaccabbbabaacaaabbcccababcabbcababcacaaabcbbbabbbccacabbccccabcbbbccaabaabccbaacabacbbcbbbcbaacbbbbbbacabbbbcbcccbacacaaacabacaacbaabccaccacbabbccbaccbbccbccccbccbcbbacacabaaccccacabbacbacabbacbbaaaacbbbabcbbcccbcccbcaababbccbcaaccbbcaccaabaabbbcbaabbabbacbacacbbaccbbcabbcabccbaababccbbcaacabcabaabccbbabcaacabbbccaccaaabaabbbcbbcababcbcaacababaaaaacacbbabccbccbcbaaaccbaacaaaaabbcbcacbcbcbbaaaaabcbaaccbbaabcababaabbabbccbccbbbccbcbaabacbccbbcabcbcbacccbcccabababcabbccbcccbaabcaabbbaccbbccccabbaababcccabbbbabcccabbaaccbabaacccccbabcbaacbbcccbbabaaacbacbaaccbcbbccbabaacccbbcacbbcbcabcbbcbacbcaccacbaccacbababcbacccbbccbbacacaaaacbaaaabaabccbabacbbaaaaabcabacabacbbccbabbbcacacbcbbaabababbaaacbbbbbbccbbacabcccbacbbababacaccaccccabcbcabcbabacaabacabbaaaccbabbabaaaaacbbcbaabacccacbbabaacaaabbbaacbaccbbbcaabbaaabbabcccbccccccbcacccbcaabbbacaabaaaabaacaacbaabacacaccbbbbbcbbcbbccccbcbabbaccccbaaaababcabcabbaabbababaaabcbbacbacbaaccabcaccaacbbcaccbabaabacaabccabbacacacaacbacabcacabacccacbcbccbccabbcbbbbcaaccabaababaaabacbccbbbcabacbbccacbcbacaccbccbcccbacabccbacbbcaaabcaabbaccbcbbabcaacbacbabacccaaacbbcbbcbccccbabaaccbbabbbcbbccabcccbabbbcbbaccacaccbcccbbcbbaaacaaabcabbbbaaababbbabacbbaaabcbbbbccaabbbababababababbbacaccbaaccccaaaaaabaaabcbcccccaabcaacabaabcaaacccbaabaacaaccccaccbbababccabaabcacababccbbacbcbbbaaacacbaaccaabbbabcccacaaaabbbbabbaabacaaabcbbbcacbbcabbababcacababbaacbccbaaacacaccbcacccacaccaacbbbbbcccacabacbabbbccabccbbababacabacabbbacaacbabbcbcccbbbcbbaabbccccbacaaccaaacbbcbbbbcabababbbabaccbcacbcbbaccbcbbbbbcaababbbabaaabcbbcacacababcbcbaaaacbabacbbabcccccabcabaccbbcacccccbabbbaaaaaabbcaaacbcabcacaacaababbacccbcacabcbcacbacaaccacbcaacbacccababaccbbabbbbcbbcccbbcbaaaccacccabababbbbacbbcbbaccbbbbccbccaccbbcbcaabcacccacccccaccbacaabcaccaaaccbbaabcaabbccabbcbccbcaaccccbccacabcabcbccaacbacbaabbaaaccbabbbbaaabaaabacbccbbbbabccbcababbbacabcbbabcbacbcaacbacbbcccbacaabbbabccaabbcbccaabccbbcbbcaaacbbccbbabbbcccbabaabaccccbcabcabacbbbaccaccabaaccacbbcacbcbabbaccabccabacaccbbbbbaababaaabcabaaacaccaaccbaabcccaaaaacbcaacaabbabbcacababaaaacbbabaabaabbaabcaababccaccbcabcacaacabaabbabaccbbabacbbcbbbbbcbbbcbbbaabbbbbacaabaaabbbbacabbcbabaabacaaaacccccacbcaccacbbcaabbabaabaabbabcabcbaccacbaacabbcaabcabbbbabccbbccaacccaaabaaccbacabaacacabcabacbaabbbacaabaacaaaaabbacbabcbacbababcccaaaaabbbabbbacccbcbbaaacccbabcaaccbbcbcbacccabbacbaabcbbacccabccbcbbcbcccaccabaaaabbbababbaccabcccbaacaaabcbcaaaaaccabbbacbacbabaccbaaabcacccccccbcbcbbcccbaaababbabbbaacbbaacbccbcbabbcbccacbbbcaccbacbbccbacccccbbaabcaababcacabcbbcabacaccabccabcabacaabcbbccbaccacbcbabcbaabccbbbbaabcccacccccababbaabaabcbbacbaabbacabcabbcbbacbaabbbbcbcbccabbbccbcbacaaacbabccaaacaabbcbcaccbaabbacbbacccbccbbbcaaacaaccbabaccbccaccbccbccaabbbacbcbbcaacbbacacccbbabcbbbbcbcbbcbcabaaabaacbbbbbcbaaaacaccbcbbaccabbcabcbbbcaccbcaaaabbcbacaabcaabcbacbbcaccbcbbbcbcaabccaaababcbbbcbacabbcbcaabacbbbbabbcbaccbccccaccaaaaaabaaacaabbbccacccaccccccaaccaaaaccacbbbaababcaabbcbccaabcacbacabaabcbbcaabbccbcabbcbabacaaabaabccaacabacbabccbbabcbcbbbababcccacabbaccbbbccacbabccbaabcabccbcccbbbbcbcbabcaaaababbbbcabbaacbccacaacacaaaabacbccbcbabbacbcbaaacbbbabcbaababaccccbcbacacabaccacccccbbbcbbabbcbcacbccbccaccbabacaacaaacbcacccabcaccbcaacbacccabbcababbaccbbacaabccbbcccbcbbbbaaabaacbcbacacccccbacabaccbaacaacbacaaccccabcabacabcccccacbcaabbcbabcbccccbaccbcbacaabbcacbbaccccbcaccacbbababcaabcbaabccaaccbabcacaaabcccccabccacbacbbacbcababbcbbbbccabbcbabacbccbabcabbcccaaabcabbbaaaaccabaaabccbcaabccccaabaacabcbcbccaaacccbcabbbbbccbcaabbccaccbaccbbcbcbaccbccccabbcbacbccaabcacbbcacbacbacccbbbbabacbcbcaaaaaabcaccaccccbbccbabbcbbacacbccbbacaacbabbabcbcbaaabcbccbccaabcbbaacaaacbbbcbccbbbccbcbbbbbbabcacaabbaacbbbbbcabcacbbcabbcbccacbbacaccabaacbbbcbbcabbcacbcacbccbacacabcaabcbabccbaabacabaaabcccabccacbbccbabbaabcaabaaacbaaaabbcbcaacbabbcccccaaaaaaccbbcaccaaaabbccbcaaccababababcababbbacabcbbcabaacabaaaaabababbcccaaccababcabcccbcacccbbcaccbcbbbcbbaaacaacaabaabaabaaacccabcbaabbbbcaccaaaabbbccbaabcbabababbbbbbbcacaabbaabcccccacaacbbbaaabbcbabbbcccbabbcbccbcaaaabcabcbcabaaabaccbbcabbbbaccacaacccababbacabbccacacbbccbcacacbbbabbabaccaccccbbcabaacbcccacbbbcacabaacaaaaccaaaaacccbbabcbcbaaacbcbabbcabcaababcbcabcbbcbbcbbcaccbacccbabcacccabbaaacccbabcbaaaccccbcabacaaacaaccabccbbbbcbcabbbbabaaccaccaacbccacccacbacbcbabcccbabbacbaccbbbcbbcabacbacbcbbcbbaabbbcbacacabbabcabcccbbccbccbcaacbbbcbbcaacaacaccbcabaaaacabcacbabccabaabaacacaabccabacabbbcacccccbbcbacaacaabbbbabcacacbbbbbabacbaabbbbbcacbbcbcbabbcabcbbbacbbbcbbccbacbbaabcbacacbaaabacbaaaccccacbccabcaccbbabacbacccbcbacbbaccbcabbcccbacaacccbcbbabaacccaccaccabbaaaacaaccbcaabacaccaaaabaacaaabbcbacbbaaccaabbacaaaaabcaabbaaaaabacaccababacabaabacabaacabaccccbccaaacbcaabaaabbaabbcbacbcacbaccabbccaabbbcacaaaababbaabababccbcbbaaaaabcaabcbcaccabacbcabccbbaaccbacbcbabaaccacbabccbbaacbbcabacbbcbccacbcaabacbbcababccaaacbbabccabbbbbabacbbbaaabccbabbaabababaabaacbcabbaabaaacacaccbaccabbaabbccbacaccababaabbacacccabbcbabbaacaabccbbcbbbccaabbacbabaaccaabaccbabcccbbbcbbbbcacbacababccbbcabacbaccbbccbcccaaccccbbccabbcaabccabbaccbcabbbacbbbaabbaabaabcccabcbcbbcbacccbcaaaabcccaaaaacbbacacacaabbccbcccbbccbaaababbacbabcacbacbcabcbcbbabacbbcaaaacccbccbabababbbabcccbbabbbbbaaabcacaaabbbcabbbbbaccbcabbcbacbbcbbabbacbcccbbabbbcbbcaabaaabccabbccababccabcabbaaccbbbbcaabcbbccabbccacbbabcacbbbbabaabbaaaabaaaacbcbbabbbcbacbabcacbacabcbbbbacbabaacbabaaacccaccbcacbbbaabbabcbabacaccabacaaccbbababbcbaaacbbbbbbabbbbbcaacbbbbcbcacccacaaabacaccabcbbaaacbcbcbbcbcccacbcbbbccbbabbabbabcbbccababababbcabccbbabaaaabbcbcbaabcbaaccaabbaccbabaccbcaaaabcaccaacacbcaaabaaabcbaaaccbababcbcccccccaabbccacababacbbbbccacccabaaccbaccaabccbbbcbcbbaacacabababaababaccabccbbbacbabccbcbcbbbbcbbbbbcbaabcbcbcccbcabcbbaaabaaaacababbbcbcabcaaabbcbcaccacbcbbbcaabcaccabbbcbacbcccccabacaacbcbcbabbaacbbbbbbcbcbabccacbbcbbbbccbcaabbbbbbacbbbbabcbbcaacbcaacbabbaaccabbbccbcccaaabcccbbababbaaaccaaccabbaacacabbacbacacabbaccbacacbccaaccbabcaccbabaccbabccbacbbccabbbacccbbbcaacbbaacbacaacaaaacaaaccaacbbcbcacbabbabbbbabacbbbaacabcbaacbbbccbcaaaaaccbccbcacacacbcbbcccacabcbbaccbbbaabacbcaccbabacaabcbbbcaaccbacbcacacaaccbacccabccbcbacccbaaacbbaabcbbaaaacbbccabacaacccaccacbcbaccbbabbcaaaccbbbaccabaabbaacccbbcabcacaccbacabbacbbcabcbacacacaaaccbcabbacacccacaaacccccabacabacaacccbbbcaaccccccacbcaaaacbccbabcccbaaaacaaaccaacccbacbabababaaabbbbacbabcccaaacaaccbaacccbbbcbcacaabaabbbbabaaacacacacababababbacabbaabccccacaaaabacaccbcabbaaaccabcbcaaababacabbaccbacbaababbaabcbaccabbcccbabcbccbbcaaccbcacabcccccacacaaaacacbbbabaacbaabaacaaabcabbabcbcbbacaccbccabcbbccbccaaccccaaccacbcbbcbbacacbcacbcaccbaabaaabccbbcccabbbbabcbaaacbccbccaaaccaababbcabbccaaccccccbbcbcbbbccccaacabbbbabccbaacbbbbbcbacbbbabbbcacaaccbbaccacbabacbcaacacbabcbcccbccbcacacbacaacbbbcccabccacbaaaacccccbcbbabbabcaacbcabccbcccbccbbbacbcbcbcbbbbbccabbababacbcbccbacacbbcbabccaaccabaaacbbbaacbcbacaabacaccccbcbbabaaccabbcbbabbccaabcabbcabbabbcaccabababccbccbcaaaaabcaabaacaccacbcaaaaccbcccbcacbccaabacaabccaaccaccaaccbaaacabbbbbbbaabacaccabcbcaaacbcbccaaacccbcaccaaccbbbaabcaaababccbaabacababbaabaaccbccccbcaabbcababccbbbcbccbccabcccbbbcabcccacabbbbabacacaaaaccababcacaacbbcbcacaaaabbcbbaaacabbbbbbaccccabcbbccbbcaccccabacbaabacaabbaccacaaacbcbcacaacbaaacacbcbcababbcacbcbaaabbcabcababaccaacabbbcbacaabbbaccccaccbabbbcaabacabcbcacbcbaacaacababbcbcaccaabbabcbaababbcaccbbacbbbcbcbaaaaabbcaccccaacbaaabcacabbbcaccabcaccbbabcbcacabacbbbccaccbbacccccbcaabcbbabcabbcabccbbbbbbcaccccbbaaaabbcbccbbacaccabaccbbccbaacbbbaaabbccaccbccabbbcccacbcacabccaaabbccbabcacbbbccbcabccbcbaaacaccbaabbcccbbacbabcbbbabccbacaabccbcbabbaacbaaaabbbcccccacaabbcabbcccbcacaccabbbcacbaaacabbaacacbabcbabaabbaacbcbbababaacbbbbabcaabaaabcbbabccbbabbbcabaabbccbbcaabaacbaacccbbbaccaacaabbabcaaabacbacbbaabcccbaaaacbbcbcbbabcbabcccbaabbaaaccbcbabaabbacbccaabcbaaacbaabbacbacaccacbbbbcccbbcccbbaabbccaaccacccbcaccbcccbacabbbbbaabcababccabcabcaabbcbbbccbbabbbbbbbbbaccaabbaaabcbaacbcbacbaacbacbbbbccccaccaaacbbbbcbccbbbcbabbbaacaacbabcbcaabbbacccbaccaacbccbbcabaccccccccbaaaacbbcaacbabaacbaabbcbabcbbcbbccaaccaaabaacaaabcaccbabacabcbaaaccabaaabacccbbaaacbbccabccaccbaaccbbbbbaccaabbacaaacbaaabbaaccbacbcaabbbbbbbbbaccaccacccacbcabcabccacacbcbbbcbccaacabbaabcbbbaaabcbbaababcaaaccbabbcbacacaccaaacaabbaaabbccabcaaaccbaabcabbcaccbaccbaabbbacaacbaaaaabbaacacaccbbcbabbccaccbccbbbabaabccabccacabcbbcaabaacbcbbbcccbaccaabbbcabbbccbcbacaabbbbbacabcccbccbabcbcbcaabacacbcbabbabbcabcacacaaacccacabacaacaaaaaaccbcbbbcacbacacaabccacabbccacbcaacbbaabbcccbcbcbbabaaccabaabbacccccbccabcbcbbaaacacacbaccaaabaccbbababbbcbabaaababcccacbbaccbbbcccccbbacbbbabbbacaabcbbbacccccacabcbbcaaabacccccccaacaccccbccabaccabbcabcbbbcaaacbcbaaccccacaacccbaaacccacbbacbcaacccabcaacabbbcaabbccbccccaaccbabccbcbbcaabcbcbaaaacbcaaabbaabbacbbbbbcbaacbbabaaababbbbbbbabbcacabccccaaaaabcabbbacaaacbacccbcbcacaacbcaacbccccacabacbacbbccabaabacccbbaabcbcbabcacbbcbbababcaaaaccccccbccbbcaaabbaacbbcbcababbcbbaacbaabccbaaaaacaabbacccaacabbcbcaaaacccacccbbbacaabacbabcabcccbccaccbaccbbbaabcbcccaacacacbcbcbbbcaaccbcacbccacabbabccaacabcbaaababcbbbcbcccbaaabcabbcbbbbabcababcccaccacbacaabcabcccabbbaabaacbcaaccaaaacabbbcbbcbaabbcbaabcacaaacabbaacaaacaacbcccabbcaacaababacabaaababcbbcaaabaacaabbbcabccbacacbcacbaabaabbbaabaccccabbabaaaacacabcabcbcbcaaaccaccaccabbabbabcaabbbacbcbcbcabcbcaabbaabaacbcbcaacacaccbbbcaaabcbacacababbbcbabaacbbccbaaababcacacbbcaabccacbccbcbabbcccbaccacabbbbabcbbcbbbabbccaacbacbbcbbcbbacabcacbccaabccaccbbabaccabccabcbbbcbacbabcaacaccbccaaaabaacaccaacbbcccaacbaaccbabbbbabccccabbacaaabcacbcbaabacbacbaaaaacbacaaababaccbcbacaccbbbcaaabacaabaccacbbbcbabcccccaacaababcbacabaccbaccccbbbbcbacaccabbbaaacbbaacababaaacacbacabccbcabbbaaacaacbcbbcccabcababccaabbcbcaabbabcbcacbbbcabcaccbcacbaacccabaacbaccabccbbccacaccbbbccbcaabccbbcaccabaccabcaccaaacbbabaabcacbaababbbacabbcaabaacbbcaabcccbacbaabcbcacaabbccaabccccbcbbaaccabcbbaaacaabcbababcbcbaccbcbcabcabcabaccaacabbcbbbccbaabccbbcbcbbcbcbaacbbaccbbaabcacabcbbabbbbbacbabbcabcbcaacbbcaccbcbaaccabbabcaaabbabbbcaaabcbcbbbcacbccaabbabcbaaaaaccbbbcbbabaabcbbaacbcbbcccccbcbcbbcaabacbbbbcbabbbbbbcbacbbbbbaaaaaccbbaabaacaabacbcbcbacbbabbabccbbacabcaccaacacaaabcabbbbcbcbbcacbaacacbacabaaacbbbccbbaccacbcaaccccbcbcbcaccacacbcbccaaaaabbacbbbababcbcbcacaacaacbacaccbbbbccaacabcacbcbcccbccccabbcccbcbbbaabbcabcaaacccaaacacbacbabaccbbbcaaccacbcbcccbacaccbbbaaacaabababbcccaabcaacbbacabcbabcbcaaaaaaabbaaabbbbcccacabbcaccaabacbbcbcbaccbbaaaacbbbbbbabccaacbcbaaacbcbcccacabbaccbaaccbcababaabcaccbccccacabbabcababaaaaaabcccacaacbbbbbacaaaabcabccccbabbbacabcbabbbbccabcccaacacbabccbbcccacbababaccaaabbcacacacbabacbccccabcbcacbabcaccaababaaabbccabcacacbccabbbaaccaccabcaacaaacababacbccbabccacacabcacbccbaaccabcbabacbbbaabbcaabbaabaaabacbbccbbababaaaaacaabbbbccacaaccbacbabbaababacabccaabbabbabbcccbbcabaabaabbbcbabacbacbbcaccbcbcacbababbcccabcaacababbcbbaaccbbabbaaaccbcbacaccccbcaacacaabbbacbbaaabbacccccbbbbaacacacbbccabaacbcaacbcaabaabacbbaaabaabacabaabaaccacccaccbaccbabcaacaaccabaabbbaacccbcaccccbbbbcbabcabaabccaccabacbcaacaaabbacccbccaaabababbbbbaacbacbaccbacccbccbbcacbccccaacbabbbbccbbcbcacaaaaabacacacaabaaacabbaaaacbabcaababccbabaacabcababbbabccccacabacccabcaabcaabababbcbaacacabbaaacaaaabacabcbcbaaaabccacbbbccaccacacacbcabbaabbabccbcbbcbcabcbccabaaacabaabbacaaccaccbbbacaacbbcabbacacaccbcccabbacbaaaacbcabccccbacbabcabcaacaccbaaaccbbbaabcbaabbbaccaaababaaacabbaababababbbcbbbbaccacbabbacabccabbabcacbbabbbccbcbabcbbcaaababbaabbbacccabbbbaacbcabbbbbbbcbcbbbccccccabcaababaccaaaaccaaccaaabacbaacabacaacabaccccabbbbaaabacaacbccbbabbcbcacccbacbabcaabacbabbaaaacaaccbbccbccbbbbabaacbacaaccababbaaabcabababbababaabbbabbabaababacacabacaaaaaaaaaaaabcbbbccbccaccccabaccbcbbccccbaacccbaabcaabbbaaabcbaacccabbcbbcabbbabbccabacbbbcabbcbabcacbaccacccaaaababacabaaacbcbcacabaaacbbcbaaccbbbcabbbaaabbcbbbbbaccbcaabcacbacbaaabaabbcaabccbcbaacaabbccccccaabacacabbbcaabbbccccaabbabaaabbbbbbbbcbcbaaccaccacacbaabbbaacbaabbbbbbcbabacabbbbccbbcabbaaccaaaabbcccbcccbcbcaaacbaacacbbcbaabacaaaabbcbbbcabbabaababaacccbbbabcccbcaabbcbbcaaccabaabcbcbbccbacacaacccaababbaccccaacbbbaacbcabaacccaabcbbbbaacbacaabbaccaabcbbacbabbccaabbbacccbcbccaaabbbbcbbaabbacabbaccabcbbbaababbacbcccbbcccccbacbbbbcbcbcacbbcacbbccacbccbbbcbccabcbcbcbbcccacabbabccbbcabcacacabbcabcaababccbcbbabbbccbccaaccbccbccbbbccabacccbccabbbaababbbcbbcbccaabccccacbbbcccababaabcbabacacbbbbcbaccccbbccbcbcccacbbbaccbcbbccabacbbababccacaaccccababbbaaacacacbcabbaabcabcccbacacccbbbbcbbacaabbaabbbccabbcbcacabccbbcacacbcbaccaaccbbcaaabacbbcbacabaaabaaabaacacaacbbccaaabaabbbabbcccbccbcbcbbbccbaabaccabbabbcbcaabccbcbabbcabcbacabbcbbaabaacbbaabaccacbbacbaaabcbbabbbcbbaccaaacaccbbbabcccbbbbbbaabbabaaccaacacccbcbbaabcbaccacbabcaaaabcbcbcaaaabcabbcabacabbacabbccbabaacccacbacbcbbbcccaacbacccabcbcbabaccbabbcaaabcaacacaabbcccbbabccababcacbccabcabbbcabbbbcbcacabaabbaccbacaabcabacabbaacbacbcbaaacbcccbabccbacaccccbcabbcbccccbcbccaccabcaaccacbccbbbbbccbabacccccccabbbabbbabbaabacabcabbcbcbacbccbacbbabcacbccaacaaaacabcaabcacbbbabcbabccbbacaababcaabacaabcacbccbbbbcbcaaacbcbcacccbcbcabaabbaabbaaacccccccbabccccaabbabbabcbcaaaaabbbacbbbabbbabacbcababcbacbcbbbabacbaaaacbababbaabbbbabacbcbcbacbabcaacbbbabbaaacbbcbbccbaaaaabccabaabbaacbbbbbbbbbbaaabaaabacaaaaabacbbabcbaaacabccbacabbbcccababaaaacacbcbcbacacbbbbbcccbbbbaaababbabaccabbcaacbbcccbacbcccaacaabcbabaababbacccccacacacabbbcccbabbbcbbcbaabacaaabaacbabbbbacccabbbbbbaacaacaabccaabacccaccbcbaccbaacbbacaacacacbaacbbabbabbbccaccacacbacbaccccccbcaaacbbcacaaccbbbcbcacaaabaacacbcabaabcacabaacbbbcbbccaccababbbbccbbcccbaaababbacbcabaabbcbaaacbaaabbbbcaaaabbbbcbcabcabcacacbaacbcaabbcabbacbbabacabaaaaaccaabaacaabbbbaaacaaaacaaccaabababccbacaaaabacabbcacacabaabacccabaacbaccbcaacaacbabacaacbaabbabbcaccbcaacbcaccccbaaacccabbaabbbbcccbbcbccbbbbaacacbbabcccbcaacbabacaabaaaaaccaabacaaccbbaacccaacbacaaaccbabcaaaaabacbcabcaabcacbbbaccccccbbcbcbcbabcbbababaabccabbbcbccaabccbaabbacabacbacacaccbcbaaccaaacccabacccabccbabcabcbbbaabaaacabacabbabcaabaabcbcacbbabbbbabbaacabbbcacacacccbcaacabbbccacbbcabccabbacbaaacbbabbcbacbbcaacbaccacaaacabaaabbcccaacaacabbccccbaabbcbaacbbbbabbcbabcbcccacaaccbbccaabbbbbabccacccaccabababaacaaccbacbbaababccacccacaaabcccbcbcaaccbbaaccccccccbabbbacccbbcbababccacbcaabababbaaaccaaabaaacbccaaccabcbacccccacaccbccccacbaaaccabaaacbbbabbbcbaccaabcaacbcabccbaaacaaccbcccaacbacabacabbcbcacccabccbbcbccbacaccaaacccccbacacbcbcbbbcacaccaaabacbcbcbccbbaabcbbcacaccaccbaacbccaccccaacbacbaaabcababbcacbaacbcbccbaabcbbacaccbcbbbcccbaaaacccacbaccbacbacbacbbaacacbccbcbaabbcccbccbcbaaaaabbcccbabbaabbcbaabccacccbabbccababccbcaccabbbbbbabbbabacbcaacaababcbbaaaabacbabbabbccaacababcbbccbcbcbcaccaacabacbcacaaccbccbabcabaaccbcabbbcbabbbccaacbccacaacbbbacacacabbcaccbbbcbaacbaabbbaaaabcccbbccccabbcbccbbbbcabbcaaababbaaaaaaccbbabbcbbbcbcaaaabaccabccccaccbaccacaaaaabcaabcbabbbbabccccababbacabcaabccbbbbcbbcbbbacacbaacabcabacbabaababccbaaabcbccaacbccaabbcbbabcccbabcbccbabacbaaccabcccacaaabaccabbcaaabcacbbcbcaaacaaaccbcbcacaabbacaacaabbbbaacbbacabaabcbccacbbabbcaaaabaaaabccbababbbbbbaabacabbcbccaacbcbbcacbbacbbaabcbabaaaccacccccbabccbcacbccbcaaaccaaaccbaacabcaccbcbaccacbcaabbaabaaabcabbbcbaccbaaaaccabccacababbaabbcababacbbacacaacccbababbabacbacbbacabbbaaaababcbcbaabcbaacbbabcabacbbbabcacbacaccabaaacbcccbbaccabbcccbbbbacbccbaabaaaabaaaaabbcabbbbbccbccbcbababcacbbaccaccabccbbbcccbbbcabacbbabbcbabbcaccccaaabbcabbcabcabcbcbcaccacbbcaaabcbcbacccacacacbbbcccbbcacbcccaaaccbbbaccacaabcccbbbabaabacbaabababaccababbbcbcacabacabbbcaabbbaacbcbccbbbaaaccccaaabbcbcaccacabbcccbbaabcbbcaaccaccabababbcbccabcbccacaabbcacabaccbbaaaaaaccccbbbaccbaabbaacbaabcabbbacbbbacbcaacabcbacaaacabbcabaaaaabcbcabbaaacabcaccbbcccaaacbbcacacccabbabaccaabacabbacaccaccacbcacabcccbcbccabccbbbbcaabbcbccbccabcaacbccccabcbbccbbbcbcbcacbccbcccacbccabbbaabcbcabaabcbabbacabbbacbaaababcabcbacbbbccaccabcbcabcbccbabacbaacccaabaaabcccabccabaabbabcbbacacaccbaabbacaababacbbacaaabbbcccbbacccacbabacbcbccbcaaaaaacbabacbcacacccaaaabacbbcaabbcabacbcbacacbcaccccbaabbccacbaccbbbabbcabcabbbcbcbccabacccacaacabaacabbabbabccababccbbbbacaccbbbabcbbcbababbcccbccbbcbccbbcabbbacaacbbcabcabaabcacbaaabacacbaaccaaccacbbbcccacbcbcabcbcbcbbacccabcbbbaacabcbaaacbcbbbbcbacacacbcccaaacbbbabcacacccaaccaccbabbcababaabaccbbaaaaaccabccccaabbaacbbaccccbaaaabcaccbbaccbbbacaccbbbbacccaccbbaaabbabccabcbababcbbcbacabbcbabbaccabbbaabcacabbbcaccbabbcccbbcbabcbabacbacccbabababacbcbacbcbcbbccabcababbccbcbacbbacaababcccbbabaacccbabbbcbaccaaacabcbababbcbaabbaaccccacbacacabbcacbcaabcbaaaababbaabcacbacbcbabacacacccaccabcabccccbbacbbbbbccacabaccacbcaaccbccaaacbbabccabcbcabacabbbaacbcbcbbaacccbbaabcbacabbcccacbabaccbbbbbccacabbcbbaabaacaacacbbbacbabbcbbbccbbacaacbacabcbaaaacccaabcccbcbbccbbbbacbabbccacaaabbbbabbbbbbaabaccaccacbaaaaaacaabcbbbbabaabbbcaabbacabacbcabbbabbaabcabcaabcbcaaaabaccaaacabbacbaabaacbbbabaaaacccabbaaacbacacabaaabcccaacbccaccacbccbabccccbaabbbccaaabacabcbcacacbcabbbbcbabcbccbabccbcbaabbabcbaaccbbcabbccaaababaacbcbcaaccccbbacbaabbbbbacacacbaaaabbacacbcacbaababccacaabcaacabbcacccbbbbaaaabababbbababcabcaccababbabcabbaacbcbcbabcbbccbbcbbbaabbbbccabbccacaccacabbaaaabbabccababababcbbaaababbabbacabcaababaaacabcbcabbbccbaabcbababcabaaacbcbbcabbacacabcabcacabcbcccbacbbcbcacccabaabbabacbcbbbbcbbbabcaccbbaacbaacccbaacaacbaccbbabaaaacaccbbbcabcacaabcbcbcbaaabbabaccccacaaacbbacabaacacacbccaaaabaaccabacbccbbabccabcaaacccbccbccacbccaacbbabbbccbaabccabccaacacaabaabbacaccabcaaccccbaaaaabbcccaabcbaaabaaacaaaccaccaaccbabaccbaabababaabaccabaaccbabbacbcbbabcbcaaaacbacbaacababbbbbbbcbcabbaaaababbcbbbabbbbbabbcbccacbccaccacacbaaccbabacacaabcaabaaccaabbccccbbacbacbcacaaabbabbcaacacbacbcbabcbacbbcababacaacbcbbbcaccbcbbcbccabaaaaacaabbcbbacbbaccaacaabcccccaabbacbcaccaaacbccacbcccbbbccbbbcabccaacabbabacaacaabcbabacacbbccacbccaabcbbaccbaaaababacbbbcbcacacababaabcabacbcabbccccbcbacababbbacbbcbbbbcbbbbbbbbbaaabacbbbaabbcbaaccbccbcccabaacbbaabbbcaacccbaacabcaccbabbaababcaaaaaabcacbbababaccabcccccaabaacacbbbbaacbbcacbabbbbaacccababbbaaacccbcccabaacbbbbbcbcbcbcbcbbbbaaaaccaaabcabaabcaabbcaacccccacccccbcababbbbcccaccbcccaccbbaccbccbbabccaacccbbbcacabbccbcaabbbbbacaacbaaabccabacacacaacabbabccaccacbabacbaaabababccbbbabcabcabcccccbbcbbbaababaaaabcabcbbbcaacacbbbcbacccabcccbacabcaccbccaabccaccbaccbaacababababcacbccbbacabbcbbbabcabbababacbccccbcbabbcbbcabbaababcbaaaaccbaaaacacaaaacabaccbbbccbaabbccbbbcccaabbccaaacccabcccccacccabbabbbbaababaaaaaccbacbaacbcabcbcabacbaccbabbcbaccbcbcbbbcaabbbcacccabbbcacababccbcbabacbaababbbbababcaaababbccaaaacccbacaacbaacbbcbabbbacabbbcabbacbaabaaacaaccaabccbcbbcabcbacbcccaaacaabaaabababcacbcbaccaaababaccbbabcaababbacaccccbcbcbccabacaacacbbcbabaacabccacabbcbccbbbccccaabcaabccbbccacbcaabcacbbabcbccbabacaababaaccbabacacbcacaabaccaacaccbbaccbcccbbabaacaaabaababbacabbccbaaacabbacccbbbcabbbbaccccbacaaacaacaacccaaaaabbaaccbcaacbabbbccacabaacacaaacababccbabacbbaccabbcacbabcaacccccacbcaacaacabbccbaacbaacbbbbabacabccbaacbcbababaabaccaacbbbcaacaaacababcbbacbcbbacbcbcabccbcbbbcbccababaccaccccabbcacabbabcbaccbccccacbacbacbbacbcbcccabaaacbbcaccbbacaabbabcaccaaacaaacbbacbbaccccaccbbbaabaacaaaccbbbabaccacbccabcbbcbbabbcaabccaccccbaabaccccccabbcbaaccbabbaacccbcaabcccccbacbacbbbbabbbaabcbbcccbcbbccccabbaccabbaaababbbbaaccbbcbacaabaabaabcbaaabbacbcbbaaaaacaccaaacabccbcbaacaaacbaabbaabbbabcacbaccbbaacabbbaaacbcbccccaacbbbabaacacaabccabbcacccbbbaacbabbcbcaaabbbbcccbcbcccaacbcabccbaabaabacccbbbaabaaacbaabbbbcabaaabcaabaabacabbbcaaabbababccaccccbcaccccccbabaabcabcabcacabcbcccacaaaababcbbacabccaacaccababcccaacacccacacabcbbcbccabcabaaaababbbbacaabbbccbacbbbacbaccccaaabacbbaaccbcbcccccbbbcbccbccbbcaaccaaabacbaacbaaccabcaabcbbcbaabbcbcbbcbbacbcccaaabbbccbaabccacaacacbbabaabaabcababaaaababacccabbccbbbbacbccaacacaabbbcabaaaaabbacbbcbaaccabbabcacaccbabbcaabbbcbbacbaacaccccbaaabcaaacacaaabcbaaabcbbbbccabccaaacbaaacaacaabacacaaabacabccbacbbababcccbaccacacaabcabbccbabcacbcbbbbbccaaaaabaabbacacccababcabbcabccbbbbbaccaaabbabcbccabccacccccacaccaacaccccabccabcaacbbacaabcbbcbcbaabbbbccabaaacacccacacacccababcaaaaccbacabacabccacccccbcaccbabcacbacacbbbaacaabaccccccaccccaaacbcaacacccbcacacbcaacaccacccbcbbaccbaaccbcbbaaabaccbcabbabcbbcbbbbaabaccbbbabaaaaabcabbabbcacbcbcbabcbaaabcabccbbcaaacabaabcacccaacacacccccaaaaaabababbaaacacccbcbcacbbabcacbcaaccaaabbbbbbbbccbabccbbcacaabbbcbbaabccbcbbabbbbbaacacbaaaacccbaaacbcbccacbaacbabaccaaabbacaaaacbcccaaabbacaacbbbaabbbabaacbaccabccaacaaaccbababaccbcabaccacbbcbbaabbbbcbaccaccabaccacabcacabcbcacaabcaabbabaabcbaaaccccbbcabcbbbacccbbaacbbbbbcaababacbabcacbbcabbacaaaacbbccabacacaabcbabbcccbabaaacccccccbcbbacaabacbacbcacaccaaacacaaaaacbabacabaacbbaaaaacbcbabaabbcaaaccaabacaacaaaacabbababccbabaacbbcaaccaacabcbabcacaccacbacaacaaccaacbacbcbbcacccbbbbaababaaabbbcccbccababbccabbacaaaccaccccbbabcbacaacbabaaccaccabbaaacbaccbcbbbabababbbbcaccbacccabbcbaccaabbaabaaaccbbbbcccbabbcbbbacbaccbaabbbcbcbcbaabbbaccbbbcaacaabcbbcacabaacabcbcacbcaaababbcbccbcaabaacabccbbbccbacccbcabaacaabbaacababbbaacaccbcabcbaabcccaccaababcbccaccbccaabcbcbacbbbbaababbbccacabcccccabaabbbaccbabaccacbacabbaacccaaabcabcccacacbbacccaacccabbabbbcccabbabbbacccaabaabcbbbcbababcacbababaabaacbcacbbccbacbcbbabbbccbaacbbcacaabcbcabcaccabbaabababbbbcabcbbaccabcbcaacbaaabbaababaaacacccabbcccaacabbacbcabbaaabbcbacacaaacaacbcbcabaabaacabaabbaccccbccbcaaaccbcabcabcccaabcacacccbbaabcabaaccabcaacaaccaccccabcbacccbccabbbabbacbaabbcccbbaaaacbaacaabcbcabccaccacacaaccaaabcccccbbaabcbabbabccbacaaccbcbaccbacbbbccbaabcbccbbcacbaacacbabbcacabcccaacabbacbcbcbacccbabbbcaacabcbaaccacaacaaacabacaaaaaabacbcbcbacaabaccbbababbccbacbcbbccbabbbabaaaaabcaacbcabcccccaaaabacabcbacaccbccbccacbbcbcbbbbcacbbbbbabaabacaabaaaacabababcccbcaabccabaccbacabcbbccbaabbcbcabacaabaacbbbbcacbccbbabcbbbccbbbbbaaabccccbcccbabcabbbccaaccacaabacaaabccabacbbaaabbaabaccbabaccababcbaaabbcbaccccccbbabccbcccbcabbacabcbcaaccaabbbbcaabbcccacbcccbbacbccbccaccccacabaaaacacaacbcbbabcbaacaabcbbacaabcccaacbbbabaabccccbbabbababcbacbccabaccacbabcccacbbaabbbccbcaaccaccbbabbbbbabbabbcababcabcccaacaacbcacbabbbbbaaaacbbabacabbcbbacaabbbcaacabaacabcaaabcbcccbabaacccbcaabbabaabacababbccabcccacbbaacacbabaacbccbabcaccbbaaaabbcbbbaaabbaacccaacabcbaacbcaacabbaccabccccabcbccacbcccbcabccbbcacbabbcbccaaabbbaaaacaabbbaccbaaaccbbcbacababbcaaabbbbcbaacccacbaaaaaccacaaaaabbcacabcccbcbacaabaaaaaabaabacccaaccbbbbccbcaacbcbcbacbacbbabccabcaabbaaaaaaaacacbcbaacbbbcbabcabcbbcacaabcbaacbcabacabbbabbccaabcccaaabcbacabcabacbbcbccbbacbacbcbccaccbacbbacabcacbaccbbbbabacbbabaacbcbaaabaccbacbacbcaacabcaaaaaccbccccbabbaccbbacbbbcbaccbbbbcacacbabcccccbccbaccbacabaaacccaaaabbcaabbccabcabacaccabacbaacbabcbaacccccaabbaccbababbbbbabbabbbccbbaacaaabcbabcaaaabacbcbabbaaacbbaababbacaabcccbabbbacabbacbacbacacabccccbacbaabbabaacbbbccbaacbbabbcccbbbbabbcababacbccababcbbbababbcbcbcabaacbabcaaccbbabbcbbcbaaccacaaaabbabcaccacbaaabaaaccacbccaabbcaaaacbccbacbcbcbacacbcaaabcccbccbaabaaaabcbcbaaabcabacbbcbabcbacacbbaaccbbabbcbbbcbbcccccbbaccccabcbababaccabbbbbcccaabbacbabcbbbbaacacaabbacbcaccacbacbbbaccbaccabcaaabcaaccaaaccacbbcbbbbaccaabaccccbabaccababacccbccbbcbaaabbbbabbcbaacbbaacbaccbbabcbbbaaaabcbbabaaccacaabaacbaacbbccabbbbcacbcabaccbaabbacbaabaaaaacabaaccbabbcbbbbacbbbbaaabaccabababacaacaacbaccaccabacbacaaaacaccbcaabbabbcabcbacbcabccaabbacbbbabbaabaabbabcbbbaaaaabbacccbcccbaaaabababaaccccbccabcaacabacbcbccccabbaacabbabcaaabccabccacbcbbcabcabcbcababbcccccbcbbabcaccbbacbbaccacbbbbcabaaacabcaacbacbaaccbbaccccabcaaccabccabaabbabbbaaabccacaacaacbcaabbbccacbbbccaabbcbcbbccabbabcccaccbaabbcbababcaacccacbabababbcacccaabcbbacaabbbcabbabaccccccabaabcbabcccccabaabacbacaccccacaaccbbaaacccccbaabaabaaaccbababbbbcabbabbbccbbcbcbbacaacababaaabbbcbcbabacbaacacbbaaaaaaabbccccbbabccbbcccbcaaccbabbcbbaabbbbbaccbabaaaabaabbccbcbcacbcbbacacaaccaacaabaacbccacacaccaaabacaabbbbcbcccccbabbccccbbcabbbccaacbccbcbbabccbbacaacbccaaaabaacbcaccabccccccabaacbbabcccababbcbccacbbcbcbccccbbbcbcaaabccaaccabcbaabacbccaabacbbabbcababbbcbccbacbcccabbaccccbccaacbbabcbacccbaaaccbbaccbaccbbbacbcccbcbaaabcbcccaabbabbacbbabbaaaacccccaabcbaaacacbcaabacbbbbcabaababbbbccbcbabcaacbacaaccccabbaacacbabacabaccabcabcbabbabbabcbccbbaabccacbcababacabbababbaabaacccbabbcbccbaccaacbccbcacacacaabbbbabcaabbcabbaabaaccbbbaaccbacacacaaabaacabcbbbcbcaaaabcbcbcbacabcbccacbbcaacbacccaaabbcbbcbaaaabcabaccabbbaabacbaaacccaccacbbacbcbcacbccccaccbcbabbaaabbbcbbccccbaaacccabaaaacabaccabccacbbabcbbaaabbbbbbaaababbccababbccbbccbcbabaacababaabbcabcaacaabccbaaaccbcacbcabcbaacbcbbcacbacacbaabccbbacbcbbcbaaabbabaabccbcccababbcabacbbaacbabaabbabcaabcabccacacccabaacbcccccbccabcaccbabbabacacabbcbbbacabccccbabcbcaccbbacacabcabcacabaaccaccbaccbcbbccccbbacaacaaaaccacbccaccccbcccbacbbacacbcbcaabccacbcbacacccacbbcabbbaabbcaaaacabbacbcbbbcabbcbbbccaacccacbaaacbbbcaacabbabbaccabbcbcbbacbccaccbcbaabbaaaacababcabaaaccbabacbccbaaabbabbbccccbabccaacbbbccccaaaaabcaacbcacabcacbbabbaaabcabccacacaabacbacbacbccbababbccababbabaaaccacbabbabcbaacabbacbabbbbbcbacbbccacbabbaacabcbbccaacbcbabbbbacbcabccaaacabcabbabaabcbcbcaaacbbbbcabcaccaaacaaaccbbcbcaacaabbaaccbccaccabbbacbcacbbcacbbabbbabbcccbabaabcbaabcabaccaaabacbbbcaabccbaaccbccbbbacccaabcbbaaccaabbcbbaaabcacbacaccacbbccbccccbabacccbbbcabcbcaccacbcccabaacccccbacacaacbbbbacccbabcaccbcabacbaaabcbaabbbcaccccbbccabacccbcbaccccabccaababaabccabaaaabcbbbbccbccacaacccbccaccacbbccaaacbacbaabaaccccbbcbbbcbabbaaabaaaaababaccbbbbacbabccaaabbbbbacbccacabbaaababcaacccbcbbacacaabbcbbbabbaccbbcaaaaabaaaccaaaabccaaabbccacbbccacbcaccbbabcccaacabcbaababcabcacbbcabababcabbcbaaabbcbcbcbbbaaccccbaaaacccaacabcbbaaacbacaabbaababbcabbbbbabbcbabcaabacaaccbacccbbcaaccbcccabcbbcbabccacacbbbcbbaabbbacbcacbaacccccaccbbcbaccbbbbcbbccbcbabccacbcbccccbabccbbccaccbcccbabcbcbcbcabbbbacacbbaaacbacacabbabcccbbcabcbcbacaccbccbbcbaacbaccccaaacabaabcabaacbaabaabaacaabacaaaccbabcbcbbaacccbbcaacbacbbbacbbcbabaaacabbabccaabacabaaaccbaaabacbaaacaaabcbaccbbcbcbacabacacbacaaaaabbacabbbbcbcbabcaaabcbcbaccacaaabcccaacbbbbbbacaccacbaabbababcaaaaaacabcbacaccacbbacbcbaabccbcccabcbbcaccbcccacacbbaaabababacbbcaabcabbccbbcbccccacacaababbcaaacaccbbabcbcabcbaccabbaccaaaccbccaaaaacaaabbbcbbcaaabccbcabcabaacbabbcbbbacbaccccabccaccacaaacbbcbcaacbaaababcaabcbbabaacaaacbcaccccaaaabbcbbcbacbaacbabccababacbbcbcaacbbabcaccccaabcaacbbcbcbacaccbacbcacbcaabbbcbaccbaaacabccacccbbabacacaccaaccabaabaaabbccbabbaaaaccbbbaaacbcabccaabbccbcbbbccccaaacabcbaababbaabbcbcabcccbcbababbbcccacabbbaccbbacacabacabbcabcbcacaaaabaaacbccabcacccabcaaabcaccccacaacbaaaccbacaaccbabbbaacbbabbbcabbccacbcbaabcacabbcaabacbaabaaaccaacbbcacbacabaaabcaaaabbaaabaaccbbbccbacbaaaaccaccbbbbbaccaabccbbbabcbcaaccacaabcabaccabacabbbcbcccbaccbacacaccaababaacacabbbaaaaacbbaabcaaccccbbbcbabbacccaabcabaacaabcccbccbbabaabaacbcbbbcccbbacbbcabcabcbbaacbacbbbbcbaccbacbbbbbcbbabbcbcbbcacbbcabacbbcaccbcbaacbacccaacbacabababbaabbabaccaacccabbaaabcaccaabbcaccccaacabccbacccbbbcabaaccbbacababaabccabbbbcabacaacbcbbabccccccbaccaacccbcbaabbcacacbaaacbaaccbabacacccabbacccabcbabcabccbcaaacccabcabcbaccacabcbbbcccaccccbacccacccacccabaabacacabbbbccbacbbcbbcbacaaccbcaaaaaaaacccbcbbabaccaaacaccaabcbaacabbbaaabcbcbbcabbbbbcababbbbbbbcabaccabcccbcbbbaababcbbccbaccaccbcaccbacccaabccbbacabbaaaabaacccaaabbbabcbccbbcbacbbabaabccccbbcbbcaaababbacaacabacccbbbcaabcccbcbbbcaaacabaaacccccaacbacbcaaaabbbaacbaaacacbbacbcbccbcacbccbbababaabbccccacbcaaabaaaaaccbbcaabaacbccccbacacbbacbbabbaacbbbabcbbbbaccbcaabbbacccbcbcbbabbbbabccacbbaaaaaabaabccbbabccaccbaaaccaabcbbabbbaabaabccccccaaabbcabcccacccbcacaaabbcbbbbccaaaacbbacabbbacacbcbcbcacacbccacbbabbcababbccbcbabccaaccaacbabcbbbbbababccaaabbabccbbaacabbbaacbbccbabcaabccbcbccacbbaacbbbcbbccbbaabacabaaabcbbcbbbabacacaaaabcaabccacacaccabcbababbacccaabcbababacbcbbbabcbcbcbbccabacabcabaccbaaccccbacbcbbabbcccbcaacbaccabbaaaaaaaacbccbaabcaababcababccabccabbcaabbabcccaaccabcbcaacbaabcabaccacacababbbbacbbbcaabbcbacbcacaacaaaabcbbaacbabbcaccabbbbbccbabaabcbacbaababacaabacbbaabaccabaaababcbbbcacaaabccacacaaaccabbcaacaacbcbabbbccbabbbbacbabcbbaacacabacabbbcbbcbccccbabbbcbaaccaacacaaacaccbbbbbbbbaaabcaaccbaacbaccbbcbabcaaaacbbbccbabbcaacbacbacbcccbbcbcaabbaccbabcaabcbacbcbcbaacccccccbabacaccbbbcabacccabcaacaaaaabaccccabbacbbccbbcbcaacbccccaaaacacbaccabbcbcbbbbcaabaacacccbbbacbbccbbcbbacabaacbcaacbccabaacbabacaaccacabcacacbacbabbabcaaaabccabacbacbaccaaababbaabbbaabcbbbaaabbaccbbaccbaaaacbcbcbcaaaaaabcbbbabbccbbacbcbcacaacacacbcababbcabbaaabbccabbaaccbbabacaaaaacacccbccbbcbaaccaacbbccaaacabbcabccbaacbcbbaacccaacbcbababbcccccbcabacbbcbcacbbcbbbbcbbacacacaccaacabccbbbbacabcabcbcababbccbabbbbaabcaaacbbcbcabcccabbcacaabbbcccccbccbacabacacccbcbbbaabccacbcbbccbcaccacbabbcbacbabaaaabcaabacbaaaaaaacababcbbbbabcbaabbbcbcccbbacbacacacbbccaaabbccaabaabcccbaccbccbbbbbaacacbbbcbbbbcccbccbbbcbcabbcaccbaccbcccbabcabcaabcccaaabbbcaabbbcbacbbabbcacbbcbcaabaaaaccaaaaccccbbcbaccbbbaccbcaccaaaabaaccaaabaaacaacacacbcaabbccbbaaacacacbbabcacbbbcaabcbaaaabaacacacccaacbbbbaccaaacbcbccbbccaacaaabccabbacabaccaaccbcacbcbbaacabacacabbacaababacbccacbaabbcaabaaaaabccaacabcccccbcccccbaababaaabcbaacccbabcabaccaaaacababacaaacbabccbbccabcbbabaabbbcabcabaacbbaabcbbaabcbabacaaacacccbccccbabccaacbcccbaaaaabbabbaaabacacbbbcccaacccbcbabcbcaabbaacbabcbbaaabaacacabcacaaabbcbcbbabaacabacccaccbcbccbbacbabccbbbbbbcbabcbbacacccbacaccbbbcbabcaaacabcaaacaacbbcbcbabcaabacbaabcbcccabcababacaacabbbbabbccaaacbacacbacacaacbbababbcbabcbbbcacbccbabacbaaaccacaccaccbcccbaaababcacacbcbacbcbbbbcaabbcaaabbabacbcabbccbabbbbbcabcacbbbbacabcccbcccbacbcbcaabaccccbccacbabacabccbcbaccbccbaaacccaabaacbcacbaacacccccbabbaaaccccbaaccbbbccaabbcaccbbcbbabaaacaabbcabcbbbababaabccaccaaabccbbcbbbccaababcbbbbccaaaccacaacacacbbaccababbabcbcbcbbbacccbaabbbacccbbcbbbcabaaaaacccabbacbcababbabccbacacbcbaabccbbbbcacaacbaccbcbccbcabaabbacbcababccacbccabaaacaabababcbcaacaaacbaabbaabacababacccbbacbccaaccbccbccabbaccbcbabbaccabaccbcacbaabbbbcaabbaccbbcbbaaaabbacbbbbccbbaaabababbabcbbbcbabbccaacaaacccbcbcaaabcbbcabccccaababacababcccbabacacaaccbbaaacaccbcbbbbcbcacbacababaabbbccbbcbcccbbabccccbbabcbabaaaababbcbbbcacaacabccbaaccaaccaaacacccccbbbaacaaaacccccbcbbccaabcacabbbcbabbabccbbcbbcbaabcbabaabcbbcbacbcaaccaccbccbbabbcbbcbbcbbaaabcbbaabccaacbbcabcabbacccaaaaccccabccbbcbaaaaaabbaaacbccabbacacccbbcbababaaaccbabbacaaccbcabbbaccbcbccccccacababcacacacaabbcacababbabcbaaacbcbbbcbcbbbcccbaaabaabaacbacbcaaaaaaacbcbacaacbbaabacaaaabaacbbcbabbcabcaababccbbcbbacbcacbccbcacacbcbcbbccbaacccabbacbcccacbbacaaabcaccbcacabcbacabbaabaabaccbbcbcaaabbcbccbabacaaaabbaccacaabcbcaccbbbaaabbacbabaacccaaabccbaabcabbacccabbbacabbccabcbbbacabacccbcbcabcccbcbbbccabcbaaababaaabbcbbabccccaacccbccbaacbbbbacacbacccbaabaaabbacaaacacacabacbbaccacbabccabcccaccbcbcbccbabccbcbbabacbacacaabbbbcbbacccbbacccbcaabcaabacabcabbaaaccbbbabbacaccbbbccbbbccaaccbbbbcabaaccbacccaaccccbbacbcccaacacbcbacaacbbbaabbccabaabaaacbaacbcabcccaccaabcaabcacbbaabcbccbbcacaaacbaaacbaacbcabbbbcbcccbcacbabccbcacbcbbbbcbacacaccccacabacabccccbccaaccccabbbbacbbcaabbaaccbbccbbbbcbbccbbbbcccbcccbbabbcabbcabacbcbccabcabababbbbccbcbabaacbbabacacaccbcabbbababccbaaccbabcccabcbbcbbbcabacaaacbabcaaccbbcabbbbcbabbaaabccbaaacabcbccabcbbcbcbaabaabbaccbbcbcbacbabacaaaabacacccbccbcacacbaabcbbabababbccccaabcacbcbabcbaaacaccababaaaabbbcacacabcaaccbcccaacaccacccaccbaabbcbaaccccbcbccbabbabcccccccabaaaabcbcaacaaccaacbccccbbaabcbacbaaacaccccabacacccacbcbabbcacbacccbcababbaacbacccbbaaacbbbcaacbabacbabccaabbbabbcccaaacbaccbbacabaacbaaabcbababcabbaacbcabcccbaabaaccbccbbaccccbbcacbaabaacbaacabbcbbbbaacbcabccbccccbccabbaccbbbbababacabacccbbaabccaabacacbabbcabcacccaccaabcabcccaabcbcaabacbbacbbbbcbbcaababaacaaaaacccaaaccbbccaacabbaaabccbbbccaaccbacabcacbabbaaabbcbbcacabbbacabacbbcbaccbcccbbcbcaabbaabacacaaacccbaaccaccbacacbbaabcbacbbbbbaabbaaabbbabaaabbbaaaabcbcbaacababcaccaaccbccabaacbcbcbbacbbcacabbcacbbcccbbaacbbabcabcbbbacccaccbbbbbcacccbacaacabacccccbcbacaccbacabcabaacccbaabccbcbccabcccabcabbaaaccbbcababbcabcaabacccbacabcaacbcbcabaabbbcccbbaabbcaaaacacccbccbccccacabbbcaccbbcacbbabccbaacaacbcaccabccbbaaacccbaacccbbaabccccbabacbacacabbbccccccbabcbabbbaabcbabababbcaababccccbbbcbbcbccabbccbcbcbbabbabbaabbaaaacaabcbabbbccaaccbbbaabababbccccccbcbabbcbcbbaacaababcaacabbacbaccbcaccbaaacaccccbcbbabbbababbcabbcbbabacbacbabaaacaacbbabaabccbaacbacabbbcabcbcbcaacbcacacacacbbabbbcbbbabcbcbaaabbaabbccabbbaaaabaabacbaaabcbcabcbbbabccbbabbacabcbbcacaccccaaaaabbacacbbbaaccccacbaababbacbbacbbbabaaaabcbabcaabbbcbcbcacbbbcabbaaabacbcbbacbbcaccbcacaccabcbcbacaabccbbaacbcbabcbbbcbccbcaaccbcccaabcacbbccbacbcccaccbaaabbaabcbcaaabbbccacaacccabacacbbcaacccaabcbbbcabbbacccccabbbcabacbaabccababaccacbaabacaaababccbbbbccbcbcabbaaccbbabbaccacbabbabacaabcbaaaaacabbaabcbacbabbbbbabaabbbcccaaacbbcccccbbaccabbccbbcccccbacccacabacabaacbbaccbcababaacabbaccaacbbaabcacabcbaaaacbcabcbaacacabccacbabccbbcacbbbbcbcaabccbbbcbccabbcbbaababbcaccccbbccbacaaabbcaacaabbbcaabbcacaaaabaacaccbacaccbbcababbbaabbabcaacbcabcccbbbbabcaaccbbabbbacccbbbbcabacabcaacccbbbccbbbaaaabbbbcbbcabcbbacbbccbbccccbbbcbcbbaaacbccbbbbbacbbcbbcacbbcacaabbabcaacacbabcacababbbacababbaabcbaaaaacbbaacbacacccaaccbcbcabcaaacbbcbbbcccbacacbcbbacacbbbccbbcabcacbbbbabcbcbcbbacacaabaabbaaacbabbaabaacababaabcabaabbaaaaccbbcccccababaababcbcbbaabcabbbbbcaacacbabcaacababcaabbcacacabbabaabbccbaabcbbcacbabaabbbbaabbbcbacbbccbbacbcacabaacbbbbcabaabccabbcabcbabbbaabaacbcccabaaacbcbcaaccaabaacbbaacccbbcbcaaabbaacbbbbbaacbcabbaacbccbaaaaabbcacccaccabcbcccbcccbcbacbbcaaaabbaacbcacbcaaacbacacbbcabbbbcacbbcbbaababbcccbbacbcabccbabbaccbcbcacbbccbababaacacaabcbbbbbbbabcbacbcbccbcabcccaacacbaccccbcccabbaabcbcbacabaccacbacbabbaacabaacccbbbbbbabacbaacbbacabbcacabbacaaabacabbcccbcababbaccbcbcccaacaccbabbbabaccccbbabccaabcacacbcbcabacbacbccabccaabccbabcababcbababcccaacacbcaabccaacaaacabacbaacacbababcbabccabccaacaabbccbcaabbbcccaccaacacabbacbaacbbcbcccaccbcaabcbbbabcbcacaaaaacccacbcabbbacbabccaababcbccaabccbabccbbabbbabbbbbbabccbcbcccccbbacbbbccbcacccbcaccbacbcaaabaabaacaaacbaabacaaacbcabacabcbbbcbbabbbcabaacbacababbbbcbcbaacbccaaacacbcbaacabacaacaaaccacbaababcabbbaacbcacbabcacbababaabababbcccabcabbbbacccbcbcbccbbbcbbaccbbbbbbbaabcacaccaacaccbcacacbacccbabcacabcacccbbbbcaababbaaccbbabbabababbcbbbccbbacacbbbabcacaaabacacbcaacabaaabaaaaabcbccacbccccbaaacaccbabbabbaaaacbbaccabcaacbabaabbcbcbbcbacbbcaaccaabcaccbacccccaaaacbbcabcabbcaaaaabaaabbabaaccabbbbcbcccbaabaaaccbbcbacaaabbcbabaabcbacabcccbbcbbaaacbcaaabcbcabbaccccacbaccbcccccbcacbcbbcbbaabbcbbacaabcbcbacbbccaabcabacbaccbbabcccccabcabaacbabbacacabbbacbccaaacbbacababacbaabbcbaacabaacabcbccacacbcaabcccaabbbcacbbcbacabbbaaaaaacccbaacacbaccbccbcbcbaccababcabcbacbcbaccbbacccbcbcabcaaaacbcaabcbbacbcacbccacbccaaacccbcbabaaabacbcbcbaabbbaacbbcbbcbabbbbcbcabbbbccbcabcbbccbacabcababbabbcbababcbcbcccbbbbbbccaaabbaaccacabbbcabbbbacbaacbcbcbbabcabbcccabbbabababcbbcbaabababcbcabacacbaabaacbbacacaccbcabaaabcbcaaaaacaaccaaacbacbcaabbabccababbacaccbabbaabbbaccaccccbacbccaaacabbabcaacbcbcbbabbcbbcababbabacabcabaacbbacbbcbcbbbccbabaacbbcbacaabcccaacbcacabccabcababbbacbbbcbbbbbbccaccbcabcbaabacabbbaacaccbcbbacababaaababbccaaaacbbabababbabaabccccbacaacaccabcbcaababaaabaabcbbacababbbabaaababbbccbbcbcbabababacacabacbacbccbbaabcbcbaacbbcbbaaacbabcbbabcbccacbbbcabbcbcbccbbbcbababcaabaacccacacbabbcccbabcbabcbbcaccaccacaabaabcbbaaaacbaacbacaacccabcbbbaccccbacaccbaccbbcaaaccacbcacbaccaaabaaccbcbabbbccacacaccaccaacbccccccbcaaabacccbcbbabbacccabcbbaacccccabaaabbbcbcccbbcbabccbabcbbabaaaaaaaabcccbbacabccbacaacbbbaacaaacabcacbbbcccbaacbbbcbbaacbbbacabacbaccccbcccabacaccbbbbaaabaccacbbacccbbcaccabaaaabcccabacccbcababcbaacabcbaccbbcaabaccabcbcbcabcbaccccbcbcbbbcccaacbbcbccccaccabbcacbcaaacabcbacbababbaccabaabaacbcabcbcabcaacccbcaaacccaabbbcbaaacbccbabbaccaaccaccbabcbabcabcabacacaaccaabbcaabcccababaaabccbccaccabccaabbbcbcbbbcbaccbbbbbbcabbccbccacabccacabcaacaccacbbbacbaacbaccaabbbbbabacbcbabccccaccbcccccacabacccaabbbbaaacbcacccaacbabcabbaccbbbbcacbcbbbcbbababbacaaabbbaacbcccbacccabaabacaacbbabbacbabaabbcaabcbcabbccbbaababcbccbbbbbcbbbababcabcaacabaccbcbabcabbacbbcbaabccabbcbbbaabbbabccbbabcccabcaabcccabbabbaabcacbbcabacacacbacbccbaaacbacbcbaabcbcacccacabbaccbbabbcbacacabbabcaabcbbbcacacacccbccacbbbbcacacacccccacbbabbabcaabcabaaccbaccabbcabbabaacccbaabbcabcbcabbacbbacabbabcbcbcbbbabcccbbacaaacaccccaacaccbabbaacbaccccbacccababbbabcaaacbcbbcbcbabacbcacbaccbcbccaacaacbacbccacbaabaccbbbaaabacabcccbbbccbbbbabcabccbcabccaacaccbccbaacaacbabbbccbaaccbccabcaaaccbbbbcccabcbcbcbaabbbbaabcbcabbcbaabbaacaaabccccabacacbcbaacbbbabbcacabbcbccaaabaaababbcaaaababbbcabcbabbcababaccbcabccbabcabaacabaabbaababccbccacccabcbabbbaccbacaaccbcbbcccacacbcbbccbaaccccbbccbacbbcbccccaaacabccbacbacbbbaaccbcbbcababbccbbccbbbabacbccaabaaaccbbcccaabbaabacabacbacacabbacabccababcbcaabbaacacaacaccbabaaccccbcaabbbbcbaacacaabbcabacbccababaacbabbbbbacaabcbccaabcacaaccbbabacbacaaaccccbacccbccbbaaaccbccaabbccacbcababaaabccccaabaccabaabbaaaccbcaacccccccbcbbcccabbbacabacccabbacbabbcacccaaabacbbaaabacbccbbbacaaaabcbabaabbacbabbaccbaaabacabbaccacbcccaaabcbbcacabbabbabcbbaacacaccbaabcbcabbbbcacbcabccbacabaabbcaabbcaababccabacaccccbbaabcacbcbcbbbbbaabccaccaccacabbcaabacaccacbacbcabacbacbcccaaaccbcabccbacbbbccbcacaaaaccacbbbbcbbcbbabbbabbabbbaaaabccacbabcabcbcacbcbcbccbbbcaacabbababcabcbcacbacbaccbaaccbcccccbcbabacacabaacaaccacaccabbbaaccbbcbbaaaacbcacaaaaaabccabcbbcaabaccbccabcabababcabaabbabaaacbaccacbbcabccbbccababcccaccbabcbbcaacacbaabbbbbcbccbbccbbbaababcacbbabcccabaaaacacabbaabcababcababbbabbbcaacbaaaaacbaabacbcacabcbaabcbbabaaacccaccabbacaaabbaacbccbbabacbaccabaabcaccaaccbaabbbcbbbabbbacccccbacacaccccbacbabbcccaaaccbcbacbbabacccbacccabcbcaaabcbacabcbcacabbabbbccbaaaccccccbaccabcbccbbccaabcbbbccbbacacababcbbbccabbaaabbbbabbcccbcaacbacbcacbababbcbabacaccbbcccbbaccbbbbbbcbabaccaccaabcbaabcbcacbbacabccbbacbbcabbcbabbacabaccccbccacccacaccabcbcbcbaaabaabbaabaabcabbcbbacbacaacbbbabcacccacbcbcbabbbcccbbcccabbbbcaacbbaabaacbaacbacbcbccccbabbaccccbaccbaacabcbbaacacacaabcbccbcabbaacacbabbbbbbbcabcabaaaccabababcccacabaabaaabbabbaccbaccbaccbccaaababcccbcaaaacabcababbcabcbbbacbcababcbcbaabaccbbcbbabcccabbaaabaacbacbaccabccbcaacacababbabcbaacaaabbbcacaccbbbbababbccabbcccbbcbabcacacbccbaaaaaaabaaaacaccabbacabccbabbaccccacccabaaabbbbcaccacabacbacabbccbaaacabbaccabacabcacbbcbaccbbcbacacabcabaabababbbccacacbbbacabababcccacbaccbbbcbcbccaaaabaccccbcabcbcacacacccbacacabaabbacbbbbaccbbbcabbaacacbbcbbababbbaccacbccbacabbaacbcabcaacbbacccbbcababcaaaaccabbcbacbbacccbaccaacbccbbbbcbaabcbabaacacacbcbcaabaaaacabaccbbaabbbabbcbaccbbcabaccaccbabccabcbbbcbcabbacbcccccccbaccbcaaacccccabacbacbccaaaaaccbccbbbbbcaccccaccccaacaabbbcbabbbabaccacccccabcaabcbbcacacbbcabbaacbabcacbccbababbbcaaacabaacbccbacbacbaccabcacacccccbbacbcacabcbcabacbcbcbabaacbbcacabababaacbbcaaccacaabbbccccabbcbbccbcaacbaccacbababaaaaacbbccbbababcabcbbaccbbbbabccccbabacaaccaabbbcbccbcacaacbbccbacccabbbcbaaabbbacbaabcbcabbccabaaccaccbacbbbbcabccbbcbcacacabbacccaabbabcacaabacacbcabaabacbcbacaccbbacbabaabcabbbccbbbabbaaaabababccbbcbbaaaabcababccacccccbbbabbaabbbcbacbcaabbcaccabbaacbabcbccabaccacabccbcccbaabbbabaaacbbcabbaabccaccabbbcbabcbcbaaacbabcaccccaabbbabcabbbbcaaaabcbccbbaaaaaacacacbaabcccaabbbacbcbbccaaccababaabbaababbcacaabbbabbcacabcbacbabbaabcacbcbacbcabbcbcabacbcbcaabaabcbaccbccaaccbaabbccaabccccbcabaabbacabbcabaccbbaabbbacccbaaabcacacbbbaacccbccaabccccabccbcacbaacbccccaaabcccbbabaabcbbbacacbbabcbccbaccaaccccacaacabcaabcaaccabbabcabcaccacabcbabbcaaabcbaccccbaccaaaacacbbcacaccaacbabaabbacbacbcbccacaabcbbccabcbacbaaabbaacababaaacccabbaccacbbacccbccabbcaacacbaabacbbbaaaaccaabaaaacccbacbbbcbcabccbbcbbccaabbbaaaccccabbaacacababbaaccbbbbbbacbbbbabbbbbabbcabbcacaccaababacaabbabbacaabbcbcccbcbaccbababcbcccbabccbbbcbbacbaacacbbbcbabbbbabbaacacbcabacaaccaacabaaaccbcbacbcabcbbabcbabbbbaabbcbacaccaabbbbaccaaaccccbaacbbcbaccacbbbcccbaaaaaaaabcbabbaabcaaaccccbbccbcccbabccccbbbabbccbacabcccacbaacccaabbccacbccccbabbcacacbcbccbabbacccaacbbcccbaaaaababccbcbbaabcbccbbaacaabbababbcaacabbbcbcbbcaacacbacbaabaacbcbaabacbcabbcccaaabaaccababcbabbacaccbaabcbaacccababbaaabbbacbaabacbabccaacababcbabaaacbaabaaaccccbabccbbabaacccbaaaacabbaaaccccbbbccacbcaaaaacacabccaccbaabccbaaaacacbbbababaacabcbbaabbacccbcacbccbcacbabbbccbcbbcacbabbcacaabacacabcaccabcaaccbbcaababbbabcaacaccbcabcbbcaabaababcbbacababcabacccababcbabaccbcaacbcacabcbacbabacbcbacbbaabaaaaacaccabaaabbaabcacbbccbaccbccccaabcacaacabbbcaacaccaccaabbaccbaccccccbcbbbcbaacabccbaaaaaacbaaacaaaaabbaccbbbabccbabaababcccbbbacbaabcbacabcbbccaaaabbbbacbbaabbabbcbcaaacbbbaabcbcbccaccabccaabcaabaabcaacaccaccbbbcccacccccbcbacaacbabccabcacabaabcacabcbbcbcaccbbbabaaccabbacababacbcbcbaaabbacacabbbbcacaaacacbabcacaaababacbbccbaacabcbcbcaaabcbbbbaaccbbbabccabbbcaaccbcbacaaaaacbacbcbcccabccbcccabbcabbacabbababcbacacbbacbccacaaacacbccbacaacabbbbacbacccacbabbccccbccacabcbabbccaccbccabacaabcabbcaacaccbcccbccacbcacacabacaccbacaaccccbbbacbbcbccabcbbbcabcaabcabbbaacaabcaacabbaaacbccccbcaaaaaacbbbacbaacabbcbaccbbaccabbbbabbcaccacacccbaaaaaacacbccababbcacbbaccbccbcbbacacaaccbbcbabccccaaabccaacbaccbbbbbacbbabaccccacaccbacbcaabccaaacabcaaabaabbbbbacaacccbcaabaaaaaaabcccaabccbbcabaaababacabaaaabbabacaaabccaabbbababcbbbcbbbccbccaabbbabbcbbbaccccababbccbaacaccbabbcababaacbabaacccaabcccacabaaaccbbcccababbaaabbcbaacabcbcabcbbbbcacbacccacaacccccbbccbccaaabcbacababcaabbcbbcccbacabacaccaabaaccccccaccbcaccabaabacbabcbbccbaabbabaacccabaabcbcaabaababaabccabaababbbccabaacbaabbbbaaabcccaccccbbcabaaacacaaacccaaaabcacccbcbbabbcbaacbaaaabcbcbababccbacbabbacacccbccbaaabbbccaacccaaaccacbbaaaccccacbcaacccccbcaccbcaacabaabbbcbbcaabbacbbcbaacaaccababcbcabaacacabcccaacccabcacacacaccabcacaabaabbabcabbbacaaccccbaababcacbcbcccbcbbbaaaababbababcaacbabcbcacaaaaaaaacbacaaaaccbcbaabacccbbbacbaccccbcaacaccccabaabbaaacbacbbcbcbabacbaabbaabacbaabbaacacaacbbabbcababacbbabcaccbbaccbbcccbbcacacccabccabaabcbabaccbcaccbaabccbcbaaabbbabbcaccbcbaaabacabbbacbabababbbaaababbabacaabaababbbabcabccbabacbaabbaaabacacccacbcbcbcabcabacccbcbbabaaaacabbbacbabacbcacbcbababbabcbacbabcbcccccacaabbaccaaababcccbbcbbbaaabbbabbababbccabcababaacbbbaaacccbbacababbccccbbbcccbbababcaacaabaaccbbbcaaaccabcaabaccabababbacaabcacabcccbcbabcbcccbcbcbbabbabbccaaaccabbbcabcaabcbaaccbcccbbbbabccccabaabcaaaacbacbccacbbcaccbccbacccbccababababcbccbbacacaabcabbaccbbcbbcababbccabcbcbbcaaccbcbbbbaccccbcaaabccaacacccabbcbcbbbbabcbabbaabbbcbcccbacbabcbcbcccbcaabbaaccabbbbcccccaacbbcbcccaabcbcbaacacacaaaaacabbccacccaaabaaaaacbbbaabcccbaacbbbccbabccaabbaaaabacbbbbbbbcbbabbcbcaabcbaacacbcbabbcccaccabacccccaccaacaabcbcbcbaccbacbacabbcaacacaababcaacbbcaaabcaccabcaaaacccacbaabccbcbaacbacababbaabcbaaccabcbbbaaaaaacbaaaabbaaacccccccccaacacbcbcccaabaacabbcabcbacbcabbccbbcaacbacaaababcaabbbabaaabccbbbbccaabccbacaaacacacccccbcbcbccccccaabacbcbacbbaacaaaacaaaacbbccaccacbcacccbcacabcbbbbcbbabcbbbbaccacbaacbccbabcaccbcbbaacccabaaabcbcaaabbabbbabbcacbcabccacacbbabbcaabccbbbcabbbbcbcaaababbababbcccccbcbcacbbbabcccbbccccabcbccbacbbaacbabaacbabbcabbccabaccabbcbbacabcaacabacaccccbbacabccbccbcacbaabcbbcaacaaacaaaccbbaccbaaacbcbaaaabbaaaacbaccacbcaacccbacccbbcbccccabaaabbcbccbababaabbccacbcabccaaabccccbbabbcbbacaabbaccbccbabaaacacccacaacbbbcabcbacaacbbcaacccbbcacabccbbcbaaaccacbcbbccbacbcccbbbaaccbbacbabcacbcbacccaaabcbbcaacaacbcaacbcbbaabbaabababcabcaaabbabcacbaaaacaaabacbbbbbbbbcbcaacbacccacacabbabccaccbcbaacbacacccacacabbcacaaaccccbacababcababbbbacacbbaacacbcbabbcbaaabbcccccccaacccaaaacbbabbabacbcacbbabccbccbaaabaaccbbabaacbacbcaccbaccaccabbbccbacababbabbbbbabbcaabcbbccabbacaacaacacaacccababbacaabbcccacacacccbbcccbaaaccacbcaccbbcbacabacaabbbabcacaabbabbbabbbabcabbabbabccaccbcaaccacaaacacbacbacbcbabbabcbacabccaacccccbcabccbcbbcbaaacbbcccccbaabaabaabbcaccbaabacabacacbbccbbbccbcccaaacccabaacabcbbbacbbbacaccbbbabaaccccacbabaaabacaaccacccaaaaccbbaaacabbbccbabbbbaacbcaabccbacbcaababbcbbbccccccacbbccaabbbaabbcbbbaccbcabbcabaabacacccbbcabbccacbcbcacbaaaccbcacbbabcabbbbbcccccaaacbabcbcccbbccabacbccabaabcbcaccccbcabbcbacaacaabbaaaabcbcbbacaacbaaacbacacbacbbabbababaccaaaabcacbcbbcabcabcacaaaaaccaacabccacbbbbacbcaccbcababccabaccbcbbbcbaacccacbbbbcaabcbabcabcaabacacbbbbabcbcccbbbabccabacbbbbaacbcccbccabcbabaaaabbabccaaaccbcbabacccccbbbbabbbbabccabcbbbccabbcccacacccbbcabcbaacccbbbaaababcaccccbbccbbacababbcbcaabbcbacccbcabbccabcaacccccacbaacacbbbaaacacbacaabbbabccabbcaababaacbbcbbcaabcabcaacabcacaabacccbccacccbcbaaacccaabccccaaccbcccaccabcaabbcbbbabbccbcacacbbabbabbbcbcbabcbccacccabcababccccbbbccbcbaaabacacabbcbcccccbacccaabaabbacaaaabccbccacacbcabaabccaccaabbcbcbbcaaaaaccaabbccbabcccbbbbbbbbcabbaaababbabcaccabbaabbccacaabbaabbbbabaabbacbbabccbbabbacbbacabababcbacbcbacbbcbbababcabcbabaabaaabccbbcbbbcbccaaacccbcbbacbbbaaabbbbcacbaabaaacbabccccacacbabaababccccbbcacbaacbcabccaabcbacacbbcaccbacacccbccccbcacccbabcbcacbbabacbacbaaaaacabbabacbbbacbbabcbacabcbbcbbccbbccababacbabcacbacccccccacaccabcbaabacaabbccacaaabcaabbccbacccbcaabbccacaabaaaaacbcabcbccbaaabbcbbcbacaabcacabcacacbabccbcaabbbcabaccbbbcaccccbcacbabbacababccaabcabbabbcabcccaaccbbbaacabcaacaaabaaacaccbbbbbbbabcbbccabacaccbacacabcabacbbababcccccaaaacbbbaccaaabbbbaaaccbaabbaabaabccabacaacbbbcaaaabbaabaabcacbacbcbbaabcbacaacbcccacbbcaababbaaaacbbbbabbbabcbcacbaaccccbbcaaccbcacbabbbbccaabacaabcabcaccabccbaaabcacbacaabbcbbcabcabbbbbacaaaaabcacabcabcccacccccaabbbacacaabcbbcbacbcacccacabcababaabaccaaaacacaabbcccbcabcbbaaaccbbaacaacbabaabcbaaabaacaccaaccbaabcacacaacbbcbaabaabbccabbabcabccbcabbccbbcbbbbcacbbbccacabbacbbbabacbbabbaccacbbacaaaaccccbcaccaaccbccaccaacbabaaacbccbbbabcbccccacccccbaacaacacbaaaaccaccaabbacaccccbaaccbabaabccbcbaabbcbccbaaabcbbccccccababcabababccabccccbabccbabcacbcccaacacabbbacbbbcbcbabbccbaabccbaababaccbabbbccbbcbbbbcaacbaacaabbbabbabbacaaabbcacaaaabbbaaaccbcabbcbcabcbcbbccbbbcccacabcbbcaacbcbccabcaaaaccbabacacbbcaababcbbcaabccbbbcaacaaabaabaccbbabccabacacbbaaabbacaaaaccaabccbaaabbccbabaaccccaacacbaaabacbaaccbbbccacabcbcaaababacbaababcabaabaabaabcabbccabbcccccbcbaabccaacaaccbbbabbbcccbbabcbccbcbbcacccaaaabaccbcabccaacaabbbccbbabcbccbcbcbbbaaaaabaaccaababbbacbbbaccaaccaaaaabaabaaaccccbcbaaaccbbccbaababcaaabbbbccccccaaabbbaabccabacabaccaccaaabbaacbbcbbabacbbbabacbcababaacbccbccbcbbcaccbacccabccccabccbcacabaacaacccccbacacbcccaaaacaaaccaacbcbbabaacabccacbacaacbcccccaaacaaccbbbaabbbababababaaaaaccabcaaaabcaccccacbcabbcaacaaaabbbbbcbabcaaaababbbcbacbcaabbcacbbcccbbaaacacaabbabcabccbcacacccabbbaababcacacaccbbccacbaccbaaaabbbabccccbbbababbcbbbbabaccbaaccbaaccbcbbcbcccabcaccbccaccbccacaaacaaabbaacaaacbaccabaacaabccccaacacbbbaccabccabbbcabbcaacacbabaacbabacaababbcaacabbaaabbccacbbacaaacaabcccaaccbbabababcbbaaabbbcbbababbcacaaacbbbccbbcbcbbcbacccababaaccbaaccbbbbcaabaccaccababaacbaccaccaabaccbcacbccccbacabcacbcaccbaaacaabbbbacaabccacacbcbbcccabaacbcacccbaabbbccbacabacaaabcabbcbaaabbacacbcbbbbcbbacbaacbbcbaacbacaabbbababacabbacbbaaabbbaaabacacbaabcbcabcbcabbccbaccccbbaaccacabbaccaabcacbbcaaccbcccbababacbcaabbcbacaaabcccabacabcaabbaabcccccacabbacaabbbcbabaccacabccccaccbaaaccccaaacbbcbcababaabccaccaaccacacbbbbbccabbcbbbabaacacaaaaccaabcccbbccccaaacbccbccbbbabbccaaaccbbccacaabcacbcaabbbabbbacbabbbabaabcaacbabaaacbcbbbbaaababbbaacacbbababcbcabacbacbbabcbccaacaabbbcbccccbacbbaacccbabaacaacabaaabaaacaacacbbaaaacaabaaaabcacbbaaacccbbaababccbacacbcbaababbccaabcaccacbbcbbccbccaabcbabaaacacabbccbcbaaaccbababccbcaccaccaacacbcacccbcbcabbaaabcaacaaaccbbcbaaababccaaacabbbccaaaccaacabbcbcaccbaacccbacaaaacbcaccabacccabaccbbccbbcaccccbaababaccbbcaaacccacaaacababacbacacabaaabbabbababcacaaaabaaaccaaaccbccaabbababbbcbbcacaabcabcaabbabababcbaaacaacabbbbbccbbacbacccabcbababbbbabcbabcabbbbbcbabbbaaaacabcbbabbcaabaaabbaaabbbcaabcbccbcccccaabcabababbaaccbabbaacbababaabbcaababccbcaaacaacacbabbababbcabbacbaaccaabbcbbccbabaaacaabbccabbaaabbbcccccccaccabbccccacacbcbabacbaccbcbbaacbbcabcbbbccbcaaccbabbbacbacabacacabcabcaacbcbbaaacbccbcaabbaccccbcbaaccbbcbaaccabbbabcaacaaccbcbabbcacabacbcbaacbaacbbbacbcbcabbcbcabccbbaacaaacbabcacabaabbaaabccbbccbccccaccaabbaacbbccbabaabccbcaabcbbbbaaabbbccabcbbcabaabaccbacaccbaccbacabcabcacaabcbcbaacaacaaacbcabbccbbbabcaaccbbbcbaaaaabcbacababcabcbbccbabcbaababccaacbccaabacabacaccbcbbbbcbcbcaabbccaccacaacbcabacbbcaabacacabcaccbbcbbaccbbacaacabbcbaaabaacbbcbbbbbbabbabacbccbaccacbabbaacbbbacbacbabcccabbbbbbacacccaacaaabbccbcbacacabbcaabbabaacbbbccbbbaaaacccabacbbbccbbbcbcbaacacacababaabbabbbacacbcbbccabaabbaaabbbcababaabaabcbbbbbacabbcbbabcaabcbacbccaaaccbbbcbbaaaaaacbcccabaaacbbccbabacbcbbbbbaacbabaccabcbabbbabbbbccabbbaacabcaaccaaaacbcbbaaacbcabcbbbbabcccbaacbaaabcababbabccccbbabbaabcaaccaaabcccbbbaaabcabbbaacccaaaaccbcabbabaaaacbbaaabaacabcbbbcacbccabacbbccbcabbbacaaaabcabcaaccbabcbaccbccbacaacaccaaaabaccaccaabccababccaabacabbcaabbcbaabcabcccabccacbaacbaabaababcbcabcaccaabcabaccccbcacbacbccbbcbacbbcbcccaacbaaaabbcaaccbaccbaaabccbcabacabaacbbababaacaccbaababaaabaabaabbaccabbbacaccbcbbaccbbabbaaabcbbcbacbbbabbaacccccccbbcacaaacbbcccbccacccabaaaabbbabaaaacaacabcacbababbccccaabcbccabcbccabcaacbcaacabaabbbacaabbbcabbaacbbccbcbacbbbbcbcbabacacbcabacbccaacbaabababaaaabaacaacacbacabccbaaaabbacbabcbcbacaacaaacaccbccbcbbaaaaaaabbbaacabbbccaabcbacabbbcabbbbbbbbcbbaabbaaacabaaaacaacbacccaababaaabcaaabacacbaaccbbaacaaccbcbaabcbcabaccccbabcbccabcbcababccaabbcabcabacccbacaaaccabcccabacccbbcabbcbaaaacbbccbababccbbccacbcbcbcbcbcbabacbcaacabacbcacaccbbcabbabaacbccbbcccaaaabccccabbcbbbccacbacaacbbbbcbbcbaabbaabcbcbcabbacbbcacbabcbacbcccacbccbbccbbacaaaacabababccabcbcbbcaacbcbaacaaaccabcacabcabaccbcbccabbaccbcbbcbbacabaccaaacaababaacccabbaaccbbbcaabcacacbabababbccaaabbbacababbcbbabcabbcacbcbcacbbbbbcbcacbacacaccaccbcbbbaaacccacbcaccbccbcacbcccbbbcabccacabacbbccbababbcbbcabaabcbcacccabbcababbacaabcbbabbccabacccbbaaabcaacbbcbbbccabaabbcaaaacbccbabcbbbbabbbabbcccbaacccaabbccabbaabaaabbcbabcabbabccbacacacacababaabcacbacaaaababaacbccabaaacabccaaccaaacacaabcbcbbbbabcacacaabaacabcabbcbcacbbbabaaacbbcbcababccbcbaccbabcbbcbcbcacbccbabcbbcacbbabcaacacacccabbaaccccbbbccbccbccabbabbabaacbabbbaaaacbabbaacacbabaaabbbabcccbbbcaaabbbaaccaaabccccabbcccbbcbbacbabccbacaccacacacbcbaacccbbcaccbcbccbbcbacbbabbcbabcabaaabbaabbcaabbacaccccaaacbaaabcbcaabcaababaacbbcbaabacbbbcacaccccaaaabaaabbabbacbabcbbbcbccbcaabbaccbcccaaccbaacaabbbaabaccbabaaccbbcbacccccbabaacabacaabacaabcbccbcbaccccabbacbbcbcbcbbabcaccbabacbbaccacccabbaccbaabbabbcacbccbbccbaabaabbcbaaaccbbccaabbacbcccacbbccacccacbcbbbbacccabcaabacabccbcbaaaaccaababbcbbcaccbbacccbcbbabaaabbaabccbacacabbbbabacbccbcabcacccaabcbaaccabccbccbbacbccacccabbacbbacaaccccabaaccbbbbaabbaccacabccbcaaacbcaccbbabbbababccbcbbaccbbbabbbbcbaacbcacbcaaaccabbbbccaccabbcbbacccbaabaccbcbccbbabcbbcacacaaaccccbbaaccbabbbccbabbababacbccacbcbabcaabbccacbbbcacacccacbcbcbabbbacbabbabcccacacbcbcacbccccaabcbacbbaabaccbbcbcbaaaaacbcabacbbccbabbaabcbcbccbabbbbbbccbccaabcbbbbbacbccaccbbcbccbcbaaccbbcbabccbababbacacccbcaccbcacccbbabbbaaaaccabbbbbcacbaccbbbccbbabcabbcbbbabbbabccacbacbcbccaccbbbcabbcbcaaabaabaaaabaacacbccaabaccbbcacbacaacbcaaabbacbacacacaabcabbacbaabbccbcabcbbcbacacbbbbabccbaaabbccccccccabaacaacacaabcacbaaacaacbbccbcbabcbbacccccabccbbabcaccacacbccbaccccbbbbabcccaacaccbaacabaabaaaabccaabacbcabccbcababccacbaaaabbbbabbaacacbbbbbcaacaababcbbccbccbaabbcacbcbbbcacbcaaabacbbbabbabcbacbaccabaaacaabcbccacabaacbaaaaabbcaabccbaaaaaaacccbabccbbaabcbbacabbccaaabbacaaaacaccaaabcbcbbcbbbbccaacbccbaaacbbaabacbbaacbbcbaabaabbcaabccacaaacabbabccaaaacaaabcbbbacbaacbbabbbbacbbaabbbaacbbacbccaabcaaacaccbabcacbcabbccbcababaaaacbcbaaccbbbacacbaacaabbcacbbbaabbbaaabbabbacaccccbcbaaababcbacababcbacbacccbbaabacbcbcccbacabbaaacbacccacbcccbacacabcccacccaacbaccbcccbbbbccbcbaacccccbbcccacbcaccabbbacacaccaccacbabbbababbcbbbabccacaaacbbacabcbacbccbbcaaacbbbbcabaaccbbbacccbbacacaccbccbcbaabaaacccaaabaabbabacaabbcabbabacbbaacabaaccabaccabccbcbbcbbaacaabcbccccbaabaccaabaaaacccaaabbacccaabbccbbabbcbaccbbbaccbacbccabbccccbcccacaabbcacaccbabcbaacabccbbaccabbabaabaaacaacbbbaabbaababbabbabccbbccccccccbabbbaaaabcbaccbacbbcbbabcacbacaabccaccabcabccaabbcacaabccbbcbbccbbabaaaaccbcbbcbacabcacabcbccabaccbacccbcacbbacacacbaccccccbbcabbccacacbaccbaaacbbbabcaaaaabccbcacbaaccabaacabacacbbabacabbababbbbbaacaabacabbbacacaacaabcaabaabbcabbacccabbccccccababcababcbcbcbbbbbabccacbcbcababbcbbbbccabacababacaaccaccabcacaaacbabbbcbcaaaabcabacaabaabccaaaaabbbbccaacaccacbccabcaccbacbccbaaaacacccccbcacacbabccbabcaabbbcbbccababcaccbaabaaabbbacaaccaababbbbacacbaaacbcbacbabbbbacacaacbcbcabaccbcccabbbaaccababbaacaaaacaaccacbacccacccbabcccabaccbabbacacababababcccbccabbcbccaacccaabbcabbbacbbababbcccbbacbcbbababaaccaabababbaaacaccccbbbbbcbabcaaacacbcacbcbbcabbaaacbbccaaaababbaacacaacacaccabbcaaabaacbccbbacabbbbaccacabacccbaaacbaccbbbbbcaababbcbbbaccacbcabcbaabcbbcabcababbbaaccccbbacabacabcbcacccbbaccbbbaaacbaacccacbbbcbaccacacccacaccacbcbacaabcaacabbaabbbcbccaccacbababacaccbbcbcbbcbabcbbaabaccabcbabcccaaabcbbcaabcccacabbbbacacbaccaaaacccabbbccabacbaaabaaabccbbaaaabcaacbcccbcbabaabbcabcbccaababbbcbabcbbacbabbabcccabbbaccacccbbbcbcbcccbcbbaacaaaaacabbcbccabcabcabcabcbbbabbbcbaabcbabaacaaabacacccbbaaacbcbaaabbbabcabcabcaabcbaccccbabbccbacbaccbababbbaacabcccaccccaaabbcabcccaaabcacbacacccbbccbaccbacacbbaacaaabacacacccaccbbcbacacbabcbbbbbbaaacacbcaabbccbcccababbabccacababccccacaaacbbbaababbbcaacabccccbcaaababbaccacccabacabbcabbcabbbcbbacabaaacaccacacabbcacbcacacababababccbacbcabbcbbcbaabbbbaacccbbabaacbbbbabaccabbbaccbbbbacbaabccaabbbcacaaaabaababbbcaccaaccccabacabaacaaaaababcbaabbabbbbcccbbbbabbccbbaacbcaabaaacbabacaaccbaacaacababaabacaaccbacaccacbbbccaaacbccbbcabbbacacabaabaccbabbaccbcbaabaabcbbacaabccabbbacabbabccabaacacabccbbacbcbbababccababccbaaacacbacaacacccccaabbacccaabccbcaaccccabaaabcccaaacabbaabbbbccccaccbbabbbccbaccbbabbcacbabaacabcbaccbcaccbacbcabaaacbbbaaabacccbbbaaabacbbcbbcbaaccbbabcbbccbcbaacbbcccacaaaacaaacacccbccababbbcbcaccacccabaaabaaacbbcaabbbbbaccbaabbbcbbbccccbabbbaaacacabcbbacbcabaaaaaaaabaaabcaaacaccccbaabbcacccbaccaacabccbbabcbacbccacbbbccbcabcbbaabbbcaaaababccbababccaaabbcbbbccccbcaccbbbbacccccbaacaaabcbccabacaabbbbbcacbcbaaabcaabcaccabbccbacbbcabcccbabacccccbacbbcbbbbcbcabbaaccaccacaacbccaccbccbbbcaabaccccaaccccaaabccbcacbccccccabcbcbccbaaccabcacccbacbbbcbabbabbbbcaacaccaaaabbbacacabbacbbcbacacccbacaacbbabcbacbaccbcbaabaacbcbccaaaacccbacacababbabbacbbaabcccbbbcbcbbaccaaaabcbccabcabcbbccbbabcbacaaacbbbbbcbabbbcbbbcccaccbccbbbabcbabcaaabbcbccbbbcabbcbbccbbaaccabacccacbaabcbabbabaacbcaccbacabbcbaaacbaaaaabcaaabbbaccaacacacccacbabcbabcbbbacbbbacabcabcbcccbbbaaacbcbaaacababcbcbaacabbaacccbcaabcbacabbcabbbaacccbccaccccacabacbbabccaabaabbcccbbcabcbbacacaaacbcbcbccaaabacababbabbacccaabcbccaaaccbccaabacccbcbbcbccbcacaabcbcacbcbaacbcccbccbaccababcaabacabbbabbbaabaaabbbcabcaabccccacccaaabcabbcabacbbaaabacaaabbababbaabcccbbbbcacbcbcccaccbccbabbcabaabaaabcaaaaacacbcbbbaacabbacacbabbababccbaabbbbcccacbacbccbccbababcbbccbbcabbcaabccaaccccbbbbabbcbbbcbbccbbccccabbbababcbccababbbabcbacaccaabbcbacccbaabcbbcccbccbbabcaabcbcbabbcaccbbcaaabacbbbbbcacbcababbaccabccacbbcabbabcabcbcbaabaacbcacacacaaaacbcccaacaababacbcbbabbcbaaaccbbbcccbcbaaccbabaccbcccccccbaaacbbabacaaacbccabbbacbabbccccbaaccbbaacabcccccccccaabcaaccbbcaacbaccaaaabcacaaccbcbccabccbaccaabacabbcaabababbbccabbbacacacbccababbbbcaacbbabcaaaccabacbcbbbcaabbbaacbbcbbccbcccabcacacbbcbbcacbccabcaaccabcacccbabacccbaaccbbaabacabacabbaaccaabbcccbccbbcaababaabaccbcabaccbbcacabbbccbbbcccbcacbaabbcbcaabababcaaacbbcaabaabaabcabccbaabccbccaacbbbcccbbaaabbacbbbaacaabcaaacacbbaacabcbccbbbccacacaacaaacbbbccaaacbacabcccbbbbabbbaaccccaacbbaccbccbcbabccabcaabccccccbcbbcaabcbaabccccabacbbaacbcbbbcacbaacbcabcacbcaaaaaaccbacccccbabccbbbacbbaccbacaabbaabccbcabbbcbaaaabacbcacccaaccbccbababbaacaacacbbbabaabaabaaaaaaacccbccbcccabbbbabbbbabaabbccacbcaabbccbabbbbbcacababaccabcbbabbaccabbcaaacbbabacccacbbabbbcaccbbbcbbaaabbacbbbccccbcbaaaacbacbabcbbabcaabbbbaaccaccbbcabbccaabcbccaabcacabbabcbcaaabcbbcbbbcacaabccccbbbaacbbcacacacbcaccccccabccbbababaaacbbcbbbcaccbbaaababbabcbcbbcaaabcbccabbcaaaaaabcabbbcbcbcbcacbbbcbabacbbbccbcbabccbbcbcabcbacaabbbccbbaabaaccacaacaabccbcbcbabaacbccabcbabaaaccbaaaaabacbababbbaaaccaccaaccaacccbaaacbaabccbbabbbbaccacccbaabbbbbbbccabbbacacbababcbbcbcacaabcccbbbbcbccbcbbcbbcaabbbbaacbacbcbaabcabcccbaabbaccaaacabaabcabbacabbacbcbbcaaaacbabbabccacbaacabbbccacbbbbbbbbcacbabccbbaccbaababccacabcabcbbbbccbabbbbccaaaccbcccacaacccbcbbaccabccbbbbaacbcbcbcabbcccbacbbabcccababbbcaaaccbbabbbacbaabbcccbcbaabcbabcccacbabcacacacaccaacaccbaaccaccbaacccbaaccbaccabbbababcbccbabcbababcbbcaccccacabcbbcbbbaaacabbababcaccaccabbbaaccabbcbbaabccbbcaacabcbccabbaabcbabababbabccabcbcbacbbaacbbaacbccbabbcbcabaabacacaccaabbbbbcacbcccbaccaaabaaabbbabaccbbbacbaabbccaaabaacacaacacbbbbaccbaacabcbaaabcacbcaabcacacababcccabcabbccbaccbacbbbbcabbcaacabacccbaccaabcbbcbcbcaacbbcbbcbcaacbcabbaccccacbbaabbcbacabbcccbaaccaacbbabbabbbbcbbabccacbcaacabaaabbbcbccacaaaabbcaccabbbcabcacbacccccabacccbbabcaabbabacbbacabaacaaccbccccccbbbbcbbcbaabcbaacbaccabaaaaccabcacbcbcacbbccabaaaccbbabbabccbcbacbabcabbcacbaccccccaccbabbcacabaccbcbbaacabaaaaaccbcccbcbccabaaacccbaaabaacabcccacbcbbbbcbbacbcaaacbcbbcbbabbbbcaabaaccaaaccbabcccbbcbabacaaccacababacbacccaaaaabacbbaccacacabaabcacacacbbacacbaccabbabcbbbcccbcabbaaccccbbacabbacbcabbaababbcacaababbcbbcbcacccbbcaabbabbbbbcbbabacaccababaaccbccaaababaacacbaabcacacbaaacbccabbacbbcccccccacbaaaacaacaabbbbabaaaaccbcabbcaacbcabbaccbaaabbababbbbababbcccacbcbccbaaccacccabcaccaacacccbaacabccabbbbcabcbbcbbcaccabbcccabaaaacacaacbbacabbbcbcbbbacbabcbaacccabbaabbbbbbacacacaaccbaabacaaacbbbababbbcbcccabacbccbaaaaababbacbbacbbccacccbccacaabbbcbacacaabccbabbbbcbccbbaababaacbabacaaccbcaccaaabcaaabbcaaababacaacbacababccccbabbbcbbcacccbcbcaaaabacbacacaacacaacbaacbcabccbaaccbbcaacaabcbacbacacccccaaaacbcbcbcacaaaaabaacbccacbaacacacaabbcaccbcbcabbcbcbcacabcbcabbbcaacaccabcaccbbcaaaabcacccacccbaabbbcacbccbbbbcacccbacabccbbbcbbbcbaabccaaabbabaccabbaacbcaccbacaccbcacbcacacaabccaaccbacabbaaabccaacaacbabacbbbccbacabcabcabbabacbabbaaaacbabacbbbbcabcbaacaacacbbbbcbacbbcabbabbbbcbbaabacbaacacababaacbbcbbbcaaaabbabbacbccababcaaaccbbbaaccabbcacbbcaaacaaaaabcaacabcbbccbaababccaaaabbaacaacaccbcbbcaaabcbaaaaabbcacabbaacaccccbbcbabbbbcbbabbbccccbbcacbababcbacbcaacbbaaccbcbcaaaaacababcaababbbacccabccbccacccbcaabaabbacbcabacccabcaacbcbbcbbbbbaaacabbcaccbabcbbbaacabbabcbbcaabbcaacccbcbccccacaccbaabbbbbcabacbabaacaccabaaabbbabbcabbbbbacbcbabcacbaaaaabccbcccacccaaabaabbaccabccaabcaacbbcacbaaaabbabcccccbcbbabbbacccccbaaababccbaabaabaaaaccabcbbacbbbaaacbcbabacbacaacbcabcbaacaacaaababcbbaabaabbcbcacbacacccabbaabbacabcbccbaacbbbcabbabbaacabccccbcbcbcabbcccbbaabccaccbacbcbacccacacacabacacccbaabaccbbbcaccabbacacacbccacacccbccbaabcbacccacabbcaabcacbbabbbcacbabaacbbabbaccbcacbcbabaabbaaaaaacbbcbbacbcabcbbacbcabbcbbccaaacaabaccabbbcbaabbbabbaacaacacbbabcacbcbccbcbccbbbccbbcccabbbbbbcaaaccbaabbacacaacbababbbcbacaaccbaabbbbcabbcbbacabbacaaacaacbcababcbbbbcabcababcbcccacababbaacbabbabcbaababbbbabbacaacbbcbbaabbaabbabacacccbccabccbcbbbcccbaaabaacbcbbabbaabbbaacaaccbccabaaaacabaaacbcaaacbabccabbbcacbccbbbbcabcbbbcaccaacacaccabaaababaccbcaabbcaaacbbbbaaaaaacabbacbcacbbabbbacbabbccccaaaaababbacababbacbbcaabbcbbcabbaacaaabccbcacccaaaaaaccbabcbacccbcbbaabbaccccaaccacaaababcbcbcbaaabcbcaaccbabaabcaacacaaabbaabcabaacbcccbccbbccaabbcbbaacacaaacccacabbcbabbabcaabcbabaaabccaaaacbcacbaaabbcaccbbccabbcccaccbabbacbacbaccbbacbababaccacaacbbbacacaccacbbbcbacaabbcaabccabccbbbbbbababbcbbaabbacbcabccbcbccbaabcaabcaaacbcacaaaccaaccaacbbbacacccbbbbcaabbcbbccaacbabababbaabccababcaaacacbcacabacabbbacbccacccabaacbacaabbccabbacbbacaccbccbcbbacbbaacabbaaacaaababacaaccabacccacabbcbacccbcccbbaaabcacbcababcccbbccabacccbcccbacccbabbcbbabbbacbabcccbabaabbbcaacbccaacabbbacbabcbcaabcababcbbabbcbaacbbbabcbaaccccabccccbcbbaacaaccaabbccabbcbbcabaaabbaacacbacababbaabbaaababcbbcbccaacbbcccbbccbccbababcacabcaaabaaccabbabaccccbbcbbcaabbbccbbcbcabcbbbbbbccbcabbbabccaabbccaaccbcabbabababcaccabaabbbacbbaabcacbbacbcaacccababbaaabbabaacaccbaabbbccbbbabbabbbcbcbaabaccababbbcbbccaabccbbcbcbaacabbbacccbaaabcaabcacabbbbaabbbbcbccabaaabbbbaabaacaacabbcbababbabbcaabbabcbcababccaabaaccbbbacbbbcccccbbaccbacabacabbacaccaacacaaacaaccacccaabcbcbacaabccaabcabbbacaacbcaacabbbbbbabaaacacbcbaaacbabacabbbbbcacbbcccacccbccaabcbcaabacbbabbaaabbcccccbbabbbacaaacbbcbaaacaaaabcccbaaabcccccbcbbbcccbabbaccbcaababaccaaacacaaabcccbbacbacbbcbcacacbcacaabaabbaabcbccabbbbabbbcbcababbabcaaaaabccbbcababcbbcbaaacbbacbabccbcacabcaaaacabacbababbaacacbacbbacbcbaacbabacbbcbccbaabcbbcaaabaabbbbcbaaacabbacabbacaaabccaccacbbbcacbbbbbaaccbccaccccbbcaabbcbbccabccabcbbcbcaababcbbbbaabbcacabccacaabcabbabbcbcacbbccccabcabccaabbcabcaabcbbcacaccbbaabaacabaacbccaacabcacccbbabababacabcbabbabcbabcccbabbaccbbbbcaacbbbcbacbbcbbccbbaccabaabaabacbaaccbbacaabbbbaccccbabbbabaaaacbbccabbacbaaacccbbacbacacaaccababbaaabacccbbbccabcbccabbbabbbacacbccacbbbbcbbbbcaabcaabccbabaabababccbaaaaccaabbcbcccaccaacbbabbcabaabccbcabaabaccaaabccccbaabacacaaaaaacacbbccbaccccabbabcbbcbacbbaabcbbcbcaacbcacaaacabcbccccbaaccabccbbbacccbaabcbaabaaccbbacbabacbbbaabaabbbcaaaaccbabaccbbabbcaaacccccbaccbabcbcacabcaacbbcbbbbaabcccaccaacabbcbcaaacaccbbbcbbcaabccbbbbabccaccabbaacacccacacabcabbaacbabcbbbbbaccbaaaabcbcbbabababccccacabacbbbabbccbbbabaaccbcbbcbabbbbacacccaccccbaababcbcaaabbcbacbaccbacccccccbacacabccbbcaaaaabccbcbabbcccbacbbccbbaacbacccabcbbcaacbabcabcabacbacaabaacbaacaaababacacccacaaaccabaaabccacbbabbccbcaaaaacabcbcbaccacbccaccaaccbacabbcbbbbcaccacaccbccbabcbcacbbcbbccacabbccccbbbaabbbcbcbbacaabcabbabbbccbbcabbacabcccacbccbcbaabcacbccabbacacbcaabbcccccbbbbcbbacbacaabbabcacacabacaaababcaacccabbcbbaaaaccccbbbabababaaaacabaaaccaaccaaacbcbbbcbcacbbccacaccccbaaccacaaaabcacabccbacaccbabccbabbabbcabababbbbaabacccbacaabbcaacabaabccacbcaaaaabaccbabbcaaacbabcccaaabcbcababbaabcabcbaacbbcbacbcbcacccaabcaccbbcaabbaaccabcbcbbbcbaabacbacabacbcbaabcacbcaaccaaccccacccbbbaaaaccccabbcccccbaaaababccbaabbccbbbbbaccbbaccabcbbbbcacacbcaacccccabaababaaacaccbcccaacccacabcabccaabaacbcbabbacccabccbacccaabcbbbbbbbabbbacbaccbccaaacccacbcbaccbaacaacbabbcbbbaccbaabbbbaccbccccbaacccabcbbccbcacacccaaaacbabaccccbaaaaccabbbcacaaaabababcaccbaacabacbabbccccbabbbacbcbbbbaabcabababaabcabacaccaaaabcaabacbaababccbbbcbaacacbbabbbbcaabacabacccaaccbbbacbbbcaaacabbaaaccbcccbaccbbbcacabcaccabcccacccaaacaacbacbaaccbbbbacbcbacabaaaaaabcbcaaaabacabacbccbaaaaaaccccacacbccbaabbccccbacccbcbacacbcabbbacbbcaccaabcabbcccabaabccbabbbcaacbccbcabcaacacbbacaaabcaacbcaaaaccbacbaabbacaaacaaacbbabcbacbaabaccaacabccaabcbcbabbabaacabbabaaccacacbccbbaaaacbcbcaccbbbbcbaabaacbcaabcbcbccbbabbcacbccaccaaaacbaabaacccaaaccccbcabcbcaacabacbaaabbbbbcbbaaaacabbccbcaaaaaccabacbcbcbccacbcccaacccccbabcbccacccbbccaccbcaaaccaccabaacaaaaaaabacaaababbbabccabbbbaabcbcaacababacaaccbbbcbaaccbcbaccbbbaacacbabcaccaccbcbccbccacbaaabbbbbcacccbbacaacbbaaabbaccccbacbbabcaabaccababcabacbabcccaacbbcaacabcabcbcaabbaaabbabbacbcbbccbbccacccbcccacbbaaaacbabaabcbabbbcaaccbcbcaaabbacabbcbabcacccbbbbbabcccbccabbbaacaaccbbabbbccabbccacacaccccbbccacabbcbccbbbbbccabacaabcbcbbcaabaabbbbaacabbbbcabacabbaacccbacaacbbabbaaabbbababcacaabccabcacacaaacbcacbcabbbaabacabbccbbbbcbbbbbbabccacbcabbcbbcbabaacabccaabcaaccccbccbbcabbacbaccabaabaacbabacbccaaccacacbaacacacacacbcbbabccccaaccacaaacaaabccabbcbbcbbcbacbcbaabbbbaacacabbcaabacbacbacabcaccbcaaabcacbcbbababbbcaacacaccbcbacaccaacbbbcbbcbbacacbaacacccaabacbaaaccbabbccabacabcaacbbcaabaababbbbabbbbbbbabccabcbacbbbaaaabbbccbbcbcababaabbabccccbbcaccbbabbaabcccabcaaaacbbababccbccbbbbacacbbababacbcbbbabbbccacaaabccaaacaacbaabbbccaccbbabbcbbcaabbbcabbaacacabccaaabaabcacbcbacbcaaababacaabacbcbabbbbaccabccccaaaacaaaacbccabcbabbaccbbbbbcacbcbbcabbbcaabbbcabcaccaacabcccbccbbabcacaabcaaaaccccaccccbcbacbacaaccabcbccaabaacbabbcaabccacbabccccccbaccccaabcbaccacacabcaabababcbbccbcbbbaabbcaabccbbaacaaaccbbabbcbcccbacccbcacbbacccaabbabcabbcbccbaacababaabcbabacbacacabbbccccccbacaabbaacabaccaaaababcacabaacbccbbcabbccbaacbacbcbaaacbbbbcabaaacbccbaccbbcacbacaacaabccbcccabbacbabbabbbaaababaabababcccbcaccccabbbacabbbaccabbcaaacacabababcabbbabccbbacccaccabbaccabccabbaacababaccbbabccbbababccbccbaaaacbabaaaaabbcbbacababccabbbccbacbbbbccacbcaccaacbcbacaaacbbbbcaacbaaaabbbacacaacbbbbacaaababbbbcaacbbacccacaaabccbabccbbbacbaccaccbcbbacacbccabcaacbcabaaacbbabcbccabccbacbbcbcaaacbacaacbaacabacccccacbbcbcaaacbbabccbcbabbbacabbbcabbbaacccccbbbaccacaababaaabccacacbbbcbaacacbabccacbbcbaccccabcbaacbbbbbcbbbcacbbbaaacccacabacbcabcabbbbaababbcacacbcbbbbbbaaaccababcccccbbabcbbcabcacbaaaabacccaaabaccccbbabaaccccccbbbcbbcbcccaabcaaccabbcaaaacbabbcbccbcacccaccabcbaaaabcbacaacbcbaabbcabcbcabbccaccabcbbbccacbcaccbcacbaccbcaaaacbbbccaccabbbcaccbccacaacaabaabbaabbbcabbbaaacaabcbbaaaacabacaacacbcabbabbcabbbcabcababbccacabccccbcababacbacbabbaacbcacbacbbcbacacacbcbacbcabcbacaccaaccbacbcabcabbbcbcaccabbccbbbbcaccbcbbaacccbacccaacacaacaaaabcbbccaaccbbccbaaccbaabcabaacccaabcbcbbaacccaccbacbcbcbabcbabcccbcbcbbcccbabbaababaccbcbbcbabacbbcaccbcbaaaabccacacbacccbbaabbccaccabacacaccaccbcabbbaaabbcaabacaabbbabbcacccbbaacaacccbbaacbabaacaccacccaaccbaabaabbccbcabccabcbcaaaabbcbacbbbbbccbacbaaaacbbbbccbaacbcaabccbcbbabbbcbbcbabcbbbbcbaaaaacacbbaabbbcbaccbccbcbaaccbabcaaacbcaccbaaaabbbccaaacaababcaaccbcaaacbccabaabccccccacbacaaaccbcaccaaabcbbbaabbabaabcaababaacccbaabaccbbcbcbbaccaacbccbbcabcaccabbccbccccccaababaccbacabbaaacbabacaabbaabaaccbabcbacbbbacbbcbbbbbcacbbaacbababacbcbcaccccabcbbcababbabaaccbccaaacbcbacacaccaacbbaaacaccbbaaaccacabcccaccacacbacaaaacaccacccaacabbbaacccbcabcbccccccbabccbcacccbbcccabbaaccacbacaccbacbbcacbbacccbaaabaaaccbcaaaacaababbcbabcbbacbbcaaaacccacbcacbcbabaaabccaaccccaccabacacccbcbbbabcaabccbacbbababcccabbbabbbbcbaacbccccbabcbbaaabbbacaaccabbbbbaacabccabcbbbacaaabcacccaaccabbccabcbbbabbbcaacabcbccacbbababbabcbbabaabbbbabcbccacbbcbcbacccbcaacccbaabbabacbaabcbcacccccbbcbaaaabaccbbaaccabbccaabccbacbbbbacabccccbbaccaaabaaacbbbbaabcababacbaaacccbcabbaaabbaccbcbabcaacaaabbccbaacccabcacccaccbcbbcccccbaaabaaaaaaabaaaacccaccbbbbbccacacabaaccbcbbaccccbcaabcccbbbccccccabcbbabbaacaaacbbbccbbccbbbabaaabbabcabababcacbbbbaabcccaccbcabcabbacabbbcbbccabccabbbbbbbcbabaabcbaacabaabbbbaaacaccacbbbbbabacbbacbcbbcaabaccbabbcaaccabacbcbcccbbbbbcbbcabaabcaacccacaacaababcccbbccabbbccccabbbabcbbcbbbcccacbabcbabccaaabcbbabaaaababbcaaaabcbababaabbbccabbbcbcbaaacbabcacaccaabcccccccaabbccbcabcbbabcaccbcabacbbacbbcbaccbabbbbbbccababbcacbccbbacabbaaaccbbbcabccacbcbbbcbbabbcbcaabccbcabcbaacabcccccabbbaccbabaacbbcbbaacbbacabccccbcabbbcccbbccaccbbacccbcccaaccbbcccacacaababbbbcaacbabcabaaaaaababbaabbccabccaccbbabcaccababbcabaccacbbacbcaccbacccbccaacacbbbabaccbbabacccbcbcacaababbaabcacaacaaccaaabaccbccabbbbaabcbcacbbabcabcbbabcbacbccbbbccaabaacaccbbccaacabbaabbabcabcbbabcbbcabaaabbaccbaaacbbaabaabbcaaabbabacbbcbbcabbacbbacbcacacbabbabcccacbbbacbabbacacacbcccaccaacabcabcbbbacbccbcbcbcbccacbabbaaacaccaacccbabbacbccacbaccbcabacababcbcaaaabaacacacccababcccbaaacccbaaaccbcacaababcccbcababbbbabbcabacbcacacabbccbcbcacacbcccaabcbaaacacaaaacbcabccacabaacacccbbaacabcbbcccaabccaacaaaabaacbabbacbabacbaccbcbbabccaacaaccbcbbbcbcbabbabaccabcbcbcaccbaccbaababacbbbbacbbabaabbabaaabaccabbcaabaacbaaccccacccbbbccbcacabcabcbbabaaccabccabccacaabaaaccabbbaabcacbbcabacbabacababbcccaaaabcacabccbbacaccabbbcbcacbccabaccaaaacacabcbbcbacbabaaaaacbbccccaaacccabaabacabbccccccccbbabacccbaaacbcabcacbabccacabbbcbcbcbaaaaaaacaaabbbbcbacbbabccbcaaabaacbabbbaababaabacaabccbababccbcbabbaacbbabcccaaaaccaaaaccccacbcacccabcacaaaabbbbaabcccccabbcbcbbcaacccababaabcbcacacabcbccbacbabcaaaaccbcabbaababcacababacbcaccaaacaacbbcaaaacccbbbacbccabacbaabaabababaacbabcabaccabccabaaabbbcbaccabcbcabbbaaabbbbabbaaaccbbbcabbacabaabcabacbbbbbaacaccccbcabccbaccbcaabbcbbabcbbaabaacbbbaabbccabcaacbaaccabbcabacccacbcbccccccacbacabcaaacbabcbccaccbabbaabbcbbaaacaacaaabbacbbbcabbbcbabbbccaabcacbcbbbcacbacbbcabbcbabacbacbccbccbaacbccbacccbbccaacaaaabbacccacbaaacccaaabcbbbabaccaaaaabcabcbaccacbccaaaacabbbaaacccabbabbcbaaacaaabbaacabacccabbacbbcbcaabccacbacaaaaacbcacacabbaabcabccaacabacbacaabcaacbbaacababababbbaacaabcbacaaacbbabccccbaaabbaaacbcbcccbaaaccabbabbbaacabcbabcacbcacccbaacbbbabaabaacbbbbcbacbbbccbccbbccaacbccaacaacaababcbabbcbcbccaacccabbbbbbbccbabaaccabacaaababcaabbabccbaaacababaaaababbaabccacaabbacbcbbcbabbaaacbcabbccccbbaccabccbcbcbaccaccaccbcbbaccacacbaaabcacacbcacccaacbbabbcccbbaacbbccbabbccabbbbbabcacbbacacbbaccaabbabccbaacbbcabbbbccbccccacaccbabbacacabcccccbaccaaaabbbccabaabaaabacbccbacbacacaaccccbbacbbcbcbccbcbcccbccccbabacabcabacaaacabbcbbcaacbaaaabcbcbabbabacacaaaacacabbbacbacbbbcacccbcccccbbcaabaaaabbcaccbbcaaacccacbcbcaccbccbcbbababacabaccaccbaaccbcabbabcbbbbcbaabaccbcccbbabaabbaacbcacbcacbcacccabaabccbbaabbcbbabcbaccbababacabbcbbaaaaaccccbbabbabaccbacaaacbbcbabbcbbbabcbacabaaaabcbbaaabcbcacbaccaacabbbabcacabbaaabcbacaabbaacacbaaaacbbaabcccbabcbacbabcbaaacabcacbcbbbccacabbcccccabcacbcccccaaacacccccbcbcccbcbbbaccbabbcaaabbaacaabbcbaaaaaabbacccabbcaccbbabccbaacbacacbabcacbbaabababccccaaacbcacbcbaaabbbcbcbcbbabaabaabaacbaacacacaabaaabbbcacbbaaacccabaccbccaacaccbbaabbcabcaaaaabacacaaccbacaababbbcbcacbaacbcaccacbbccbabaccbcaaabacbabcaacbbbaaaabbcabacacbbcaaacacbbbacbacbcaaaaababbbaabbbbcabacbbcaacbaaaaabaaacbabacaaabbccacccbacbaababccccacabcacacbacabccacbbbbabcbabcccccabbbbabbbbbccacabacaaababcbccacccaabcccccaabcbcbbbacaaccccbcbababcababacacbcacabcbbbbbacabbcaccaacaccaaaccccccbaabcbbbbaaccabacbaaacbcacbbbbccbbbbcbbacbccaacbabaacabccbbbcccacccbbabccabbacccccaacabbaabacaaabccbcabaaaabbcbacababbacbcacbbcabbbcbcaccbaccabbbbabcaccabaccbacbaccacbacccabbaabaaaaabcabacbaacbaabcabacccaabaccabcbabbcccaaabcacbaccccbabbcccbabacabcccacacaacaabcababbcaaccbbacbbabcbccacbabbbcaaccabcaabacbaccccbaabaccacaacbaabbbcaaabaccbbbbaccaaaacabaabcbcccacbbcbabbbaabaabcbbacccbacaccacbbaabcbbbacbccccbcacabcacccabbacbaccbabccaacccbacbacacaacabccababaaaccbcaccbbbbcacaccaabcbacbbbabaabaccccacaaacbbcbacbccabcccbcabbaaccccacacbacccbbacaacababccaacbcbacbbccccccbbbaacaaabcbbaaacbaacbababaccbbbabbbaacaaacbbbacababcbcbbaabbabacabcacaababcabbbbabacabccbbcbaaccccabcabcbbacbaaacabcbbcbaabcccbbccacccbcbcbcaabacbbacbbcbcaccbacbbbbabacabbacaaaabbbbabcbbbbbcbccbabbbccccbabacbacbccbabcbaaaaacbabaacbbcaaccbcbbbcaabbcabcbabbacaccbcbbbbbabcabaaaccccaabbccbbcbacbabcbcbacaabbbbbcccbbcbcacbbcbbbbacbbccacabaabbbbccacbaaaccbabcabbabbbbbcacabbbbbccccccabcbbbabcaabaccabcccaccbcacbbabaaabababcbaacccbabcaccbaacaccbccacbcbcccbbbaacccbacacbbabccbacbcbbaaccccabbacabacacccbbbcbcbbacaacccbcacacbbccaacabbacbbccccaababacbcbbcaacbcbcbbcaacccccacbbabbabbbaabcacbbcbcabacbabbbabacaacbaaccaaacbcccaabbcbcbaacaabbbbcbacbacbaabccabbacabcbcccaacbcbaccaacccbcbcbababacacabbcbcaabcabcaacbcbaaabccaacbacbcabaaccaccbcabbcccbacacbacabbacbcabccabaaacbccacabbcbbabbbcbcbcaccaabbccacbcbabaacbbccacaaaabbccaabbcabbbaabaaaaabaacacbbccbcccccbbcbbbabaccbabbbaacbbaacbaccabaccccbcbbbbcbbcacbcbcccbbacbbbabbbacbcaccbcbbccbaaccacbbabcbcaccbcaabbcaabbcbabbbbccbbbaccbaaccacbcabacccacaccbccacacabcbbcbcaabacaabccabaaccbbacccbcbbbcabcccbbccbcacbbabacacacbcccccbbcccaacaabaaaccbcbcbccbccbbcbaaacabcbcbabaaccbccbbcbbbbccacbaaabacaabaaabbcbbaabbcbbabaccbcbbbaabbaabcbcbbbbbabbbababcaaacbbaaaacbabbaaccbabbaaabacccaabcbbaababbbbaabbaccaabbbcacbbcabcbaababbbcbabcbcacaabacabbacacaaacbabbccbbbaaabbccbccbbccccccacabaaacbabacbbacabbccbaacaaaccbbabcbacaabbaaabbccbcccccbbcbbcacbbbcbcbbcbbbbacacbcccbcccccccacaabacaaaabaabbabbbabaaabcacaabbcbaababbbcaccaaaacacbcaacabbcbcababcaaacaabcabababacccaccbcbcbbabccbcbbcabcbccabbbacaaccbbbabbcbcaaaccbbacbcccabaaabcacbbbcbbbbbaaacbaccccbabbbcacabbabbbcbcbacacbacbcbbccabaabbbaccababaacabcbcaabbabababbcbbaacbbbbcbcbbacbbbbbacacacbcbabcbaacaaabbbacccabccccacbababababbccccabbcbbccaabcabcaaaaacabbbbbcbcbcbbcbacbbabbbaaacacabbbcccbcbcbacabcbbcaccacaaacbaabcbaaabbccabaaaccacbbaaaabababcbcbbcaacccbbacabbabcaacbacacbabbccabaaabbacccaaaabaabbacbcbbbbbcccbbcacaaaababaccbabaacaabcaababbbbbbbaababacbcacbaaacbccccacbaacbabcacabaaccbbccbcbbaabababbbbbbbacbbbccbbcbaaccacacabcaacbccaccababbbabbbabaccbcaacababbbbccabaaccaccacacbcbbbbccbacacbabcbcbbbbbbcabccbcaccbccaccabaacccbcbbbcbccbabbabbcbabacabcabcacbabbaacaacbccccccaccaacbbbbaccbacbacaccabbbccbbaaccaccbccacbacaaacaaabbbcbcaaabaccacaabbcbaaaaabababacbabcacbbcabacabbcbbbaabbabbaabccaababbbabbccaaabaaabcbcbabbccccacabcaabcbacaaaabbaacbbbccbbcabccbccbccabbbbabbcabbaaabbbabcccccccbaabcaaaccbcbaccccacbbabaacccbacbaccccbabbbaccaaabcbbbcaccaacbccaacccbabcbbabcbccccaabcbcbbcbcbbbcabbbbcbbbcaabbaacbbbcbcbacacbbaabcababbbcbabaacaaccbaacbbbbbbabaabbcbacbccbccbacaacbcbbcbbaababaccbaccabcaccbabccccabacbbbacccacaacaccabcabcbcbbacbacabaaaccbcacbbbabcccababbcbacccacbbbacccacbbbcbacccacaabccaabcccccabbabbaacabaaabcbcbcaacccaacbabcbaaacbabbcbbaaacacbaaaabbacbaacbcabccbaaaaaacabcacbbcacccabcaaccbacbcbacbaabbacacacbaababcabccacaaaccbcbbccaaaccbccbaccbacccbcaabbcbabaabaabbccacabbcbbaaacccbcaccccbbabccccaccbbabbcbcbaaaacaacacccbaaaccabaccbbaabbacbacbacbccbabaaaaaaabbaaabacacccbaabccacbcababcacccbbcbcbbaabcccbbaaaccbabbbbbbacbbbabbcccaacaaabbacbaabababccaacaaaaaaacbcaaaaccbbcacbbaccaccbccaacaaaaabaaccbcbabacbbcbacaabacbbcabccbaaacaabbbbbbaaabbbbacbccabcaabbbccccaabbcbbcbcacbaacaccbbaacbbbcaaaccaacabcabcbbcaccaccccbcbbbacbabacbcaaacacbcabbabcbccbcbbcccbbcccabaaabcbaabccaaccaabbcccccbaaacbaccbabccacbbbbaaacbbbcccbabbbccaaaaabaccbabbaaabbaaaacbaacccabcbcbaabababbbbccbccbbcabcbcaacbccbaaccabbbbbbbbbababaabaabcccbaaccbacacbccaaccababccccabacabccbbbbaccaccacaacbbcbbacbbcabbccbabacbacacccacbbcbbaaababbcabbbbaacbacaabbbaaaccbaaccccbccbbbaaccbcaabcbacbbbcaacacaabbaccccbcccaccbcbaacaccbcbccbbcccccacaaccbcbbccbaaacbbaaaccbbcabacccccbbbacbccbcabbbacacbbbacaccbbabcacaccccbcabbabcaabcbabbbbbaacbcabcbacbcbbccabbaccccbcaccbbcbcbacbacbbbccaaccababbaabccbacbabacbacccacbaabcbaaabbaaccabcacacbaacbabbbaaacbaaabccabacbbbacabaabbbabbabbaacaccbcccabbbcbaccccaaacaaababacaaabcbabcbccacccabbacaabccacabcbabaacacbbabcbbcacabbcbabbbbcaacacbcaaabcbcbcaaabcbcbaabbabccbaaabcbcbacaabaaacaccabbacaccaabcaccccacabaccacbbacbabcccccaacbaacbbcacbbbbcbcccbacaaaabccaaaccbbcbbcbacabbbcbcbbccaacbaabcbcabacbabbbbbccbbbbaacbccccababcaacbbabbcabbccbabbcccaaaabbcbabcbccbccbbcaababbabcbaabacbccabbacacbbabbcbabaabcbaabccbbabbacbcaaaaabacccbabaccbaacbcaaaccaacbacbbabaacbcbaaabbbaccabbacbaccbacbbcbaccacbccacccccccbacabbcbcaacaaaccabacbcababcbcbbabcbcabaabccbccbcbbbbccaababcbcaacbaccbbbababbbcaacccbccaaabcbbabbabaaabbbbabacabcaabaaccaaccabbabbaaacbbcaaccbaababacbababcaaacabcbabcacccbcaccaabaaccccbacbcbbcacaccaaacbcaaaaccacaccacbbcaaaaacbbcccbabcbcccbcccabbcaccacacacbacacababbbabcbacbbbccabcbbbaaacaccbabaaccacaacbbaaccbcccccbccbabbcbbcbacbbcbababbcbaabbbaabbaaabbcbaaacbcbccbaacacbbcbcbaccbbbccaabbbbbcaacababbbcbccacbbbacbcaccbcaaccbbbbcabbcaacabcbbcbbaaaccaccababbaaccbabbbbabbbcbcbbaababbcbbbcacbaaccccaabbbcccabcacbabcabaccbcaccbaaacbcbcbaabbacabcbaccbaabacaabaacbbacbabaacabaccbccacccababcccccacacbaabcbaaaccabacbbbcbacabcbbaabbbaccbbcababaaaccbaabcaabbaabcaabcbbbcbacabacabcacaaaababaaacacabcabacbbbaabbbcabaacaacbcacbcbacacacccabcabaabacbbacbccccabbccacacbbacbacccacaabbaaccccbaacacccaccaabcabacabaaaababaccbcbbbcccabcaabbcccbaacacbaaaacbbacbacbccbbacbabbccabacbbaacccaaabaacaababccaccbaaaaabbccacabbbabbaababccabbbbccacbacbbcccabbcaabcbccacbcacbbbccbbbcccbbcbacaaccaabaccbacabacacbcaccaabcbaaaaaaaccabbbbbabccbabbbbabbbaaaaabcaccbccabbccaacacabbcbbbabbcabcbccbcaccaccaaaccbbcbcacbaaabccbaaaacacacbccbccbccacbcaabcbcaabcbbbaaaabacbcacaaacbaccccaabccbcaaaaccbacaabbcccaccbccaaccbacbbbbabcbbabbbbbbcccabbcabcbbaccbccaaccccaccaaabcbccbbcbcccaaaaacbccacbbcbcaaabbcaabaabacbcacbabacbacaccccbacabacabaacaacbbbcbbcbbaaccabccbbacacaccccbcbabbaacbbbbcacccbccbaaabaacccaccccacbcbcabbbccaaaabababccbcacaacabbbccaccaabbcbaaacbabccbbbaaabacababbbccaaacbbaccccaaacacccccacbcbbbbabcccaacccaabbcaaaccccccacacccaabaaccbcbacbbaabcbbcbbccccbacbcabcacbaaaacabcccabccaacbcacbaccabcaabababbabcbccbcababbbcbaaacbbaccbabacacbbaacabbababaabbaaabbacabbbcbbaabaabbccabacaabbccabcaaacccbacaccaaccccbabaabcaaabbacaccbabbbcabbcccbcbbbcbcaaababaaabbbbbcaccbccabcbabaaccaabbcaccbabaaacabbcabccabacbabccbabacbacbccaacabcaaabccbbccbccbcccbcbbbaccaaccbbbcacabacbabbbbbcacbcbbbcabbccacccacaabbccbaabccacaaacbbccbbabbcaacbcabccbbcaabbbbaaaacbcbbbbccacaccaccaabccbcacbbbcccababbbabcabbbaccaabbbaacacacbabcabcbcbcbbabaaaccbaccaabbbcbbcaccbacacabbcbbcbbababcaababbabbbaccbccabcccccbcbccccaaacacaabcbbccacbacaaabaaabbbaaacababacbacbccbcabcabccbcaacbcbacacabbaccbcabbacbcbabbccaababbcccbacccbbccbabccbcaaaabbabbacccbacbcbcbacbbbaccbbacbaccacabbaaaaababaccbcacaacaacaabccbbbccaacbbaabaacbbcaabbacaaacabcbcacccbaccbbcbcaccbccaaccacccbccabcbaabbccabcbcaaacbccbcaccbcbabbcbcacbbbccabaccababaccbbabaaabcbbcbbabaababaacacacaacbcbaccbbcacbcaaacabcabbbcacbaacbccbbbacbaacabbacaaabacccabbccbbcbbaaaabcbabccabbcaabaabbcabcccabbabcaaabccaaccaaabaabacbaaabcaccbccbbbccbbcabcbcbbcbaaabbaacacaccbbbcccbacbbabcbbcaaaababbaababccbaacccbccaccacaaccaccbacbacacacbbaaaacbacccbcbbbaabbbcaccccbcbcccbacaabaaaccbcbacaaccbabcbacacbbbcbccabaccabcbbbccaabbbacccccaaaacacbbcaabbbbabbcacacbabcacacbbacbccacbabaccabacccbbcaabbcaabcabaacaabcaabbcbbcbcccabcbbbaccbcabbbcaaaccbcbbabacabbaaaabaaacccbaaccbcbacacbccbbaababaaaacbcbcbbbaabcbbbccacbabbcbcbbcaabacbccbaacbccababcacacccccbbcabcbcbaabaccabcabcabbccabbaccbabcbabbbcccacaaaaccbbcbccaaacbcbcbabbbccbbbcabbccbcbbaccccbcccbaabaabcaacbabcbabbbbcabbcbbbbabcaccacbccaaacabbcaaccbbbcccababccbababacbacccacbacbabbacaabcaccaaabbcacbabccaacccbccbbabbabbcbcaccaaaccbcbbccaabbabaaccababcbaabacbabbacccbacccbcbcaabbcbabcbbcbbcacaaaaaaabcababbbcaabcccbabbbcbbabbbbaaaacbcbbbcaabbcaabcbcbbccbbbacabcabcccbacbcbccacbcabbacacbbbcacaacbcbaabccacccaabcccaabbabbcccbaaababcabacbbbbbbaaabcaaaaccabbbacbaabcccabcabacbacbacacbbccccccbbabcccaaaaccaacbccacccbccbbaabcccacaaabacbcbccaaaabbaaacabaabbacababaaccccaabacaabbbbbbcacacbbbacaaabbcbaabbbcccccbccbaaacabbcaabcabccacccccbaaabbcbccbcbacaccccbcbcacbcbaaacacabbcbaacaccbbabcbbababbbcccbaaacbbbaacbcbcbaacbacabaccccbbbcaaaccccaaacbaabbbabcbbaaaacaaacbcabcbccccaabaabaccbaaabcbbcbcbaccccccaccbaaabacaccacbaaacabcccaccaaacbabbcaacacaabccaabccaababcbcbbbaaacabbbbcbbaccbbbbcbbbaacaacaabcacaccabbbaccbbbaaccccbcbbcccacbacbaaccacaacccccaabaaccabbacbcbaabccbbcccabbbaabaabbbaacacbccaaacbbcabcbcccbbbcbcbacbbbbbcacbcacccccabaccbcbcaabbabbccacbacabccbbaaaacbaacacaaabcacaababbbabaababccbccaabcacaacbcbaccbcccbccbcbbabccccbcaabcbabbabbbcccbcbcabcacbaacbbabcbaacacbbbabcaaacaacaccaaabbaabbbcaccacacbbabccbabcabbbacacabbabbaaccbcaaacababcbbaccabcbbccbbbcbacbacabbcaccaccacaabaccaabbbbabbbacaacacabaabcbbcbaabacbcbacaacaaacaccabcccbbabaababbabbbbacaaaaccbcaccabcbccbcbcbcacabcabbbccababccbbacbcbcbcaccbbacbacababbbcbaaabcbcacbcbbcacbccacbcbaaacaabcbcacacaaccaaaaaaacccbaabbbbccbcaaaccaabcaabcbccbbbccccbccccacccaaabcaaaabbaaccacababaabcbacbcbbabbabcaccabacaccbbbabcbbcacbcabcacbbbaccbbaacccbabbabbabbaaacaccbccbcabcaacaabcbccbacccaacbaabbcacbbcbacbbaaacbacaaccbcababbabacbabaaabccbbabbaaaabacbaacccabbbbbcbcaacbccbaabaabbbccabaababccabababcacbcbaaabbbbcacacaccaccaacbcacababbccbcccbaaaaabcaababcabbbabccabcccaaabaaccabaaabcaaaabbbcbbbbacbbcbaabacbabccbaccaaaccbcccacccacbcabbbababacacbbccbacbccbbbacbcbaacccacaccbcbaccbbbccabccabcaccaaacbccaccccabacbacacbbbabaacaabbbacccbaccaaabcaabcabbacbababbaacaababccbbcbcaabbcaabbacbaacbbcaacbaccbbacabbcaacccacaaacaababaabbbbaacaacbaacbaaaaacccccaaaacacccccbbaccbabccaacbcccaaaaabcbbbaccabbcccbcabacabcbcbcbbbabbcaccabbaccababbbaaaaaacbababbcabaababbaaabcbcbcaabbaccccbbababaaccaaabcabaacccacccaacaaaaccbbaaccbacabbaabccbbabccaaaaacaabcbaaabbaabccacaabbbbccacbccaabccbbbaacacabcacbcbacbababaabcaccbabcbcaccaabbacacbaccbacbaccaabcbabcacaccaaabcaccaaccacbababbccbcabcabaacbbbcbbcbbccccabcbbbbbbbacacabbcacbaacacbbcbbcaacababbcbaccbccaaacccbbccaaaaabbaaacbcbacaccbacbaaaaaaaaabcbbaacbcccbcaabbbccbbacabbaacbbacacccabbcbcbbccacbccabacccbacccacaaaacabbbcbcabcbbaabbabcaaabaaccbabacccaacccaaacccccccaacabacbcbcbaacabcbaaacaaabbabaacaaccabbccbbabcabacabbbccaabbbaaaacbaabbcbbcababcabbacaaccbacabbbbcbbcacacabbbbacabccabaccacabcacbbbabbcbbcbacabacccbabbcbacaccaccbccacbaacbccbabccbcbbbacccabacbcacbcbaccabbacccbccabcaaaaabcbbacccccbccbbaaabcacbabbaaabbcbbcccabcbaaaaabbabcacacabcaacbcabbcccabaccaaacaabcbacabababacabcaccccabcbaaaabcacbacccbbccbbcaccbcbacaacabcaabaacacbabaccbbbacbcccabacabcbbaaacaabbaaaaaabccbbaaabcabbbcbbbabcbcbaacccbbcabbbcaacbcacaabbaabacbabcabababcccaaccabcaabaabaabccabacbacbbbbababbbcbbaccaccbabcbcabbbbaacaccacbababaaabbcabcbccbabacbbcbaccbaabaccbccaaabccccbbccbbcbcbbacaaabcabacbcbacbabccacaaabbaaabbacccccbaabbaabbaabababbbaacacccaabbbacbabcbcbaababbcabbccbcbabbabbcbbbccaccbccbcaabcaccbaaaccaccbcbbcbbbcacbcacaaabaacbaacaabcaabccccbccbabcabaaccbabbcababababcccbbcbcaccbcaaaacbbcbacaccbbcacccaaaccabacabbaacccaabacbcbbbcaccbcbcabcabaaabcabbbcbabababababacccacaacacbbcabcbabaabccabaccbabbabcccccaaacacccabbbacbcabaaaababbaabbcbbcbccaabbccbabbcbcaababcbabbcabacabaaaaabcbabacbbbabccaababcbabcabbaaaaccbbbbcaccaaacbbabbaabbbbcbcabbaaccbabcbbaccabccbcbbacbbcbbbbbbabcbcbbbabccbbbcbacccbbbcbbacaacaaccbcbacabaccccbacabbcbababbcaabaccbcaccabcabbaaacaabacabbbbabbccababccabccabbaccaabbbccabccacccbabbbcacaabacaabcacbbacccaacbbaacbbcabcabcabbabaccbcacccacbcbabacacbcbacaaaacbccbcbaaabacaacacaacabcacaacbabcbcbcabbacbbabbaabbbcbcbbbabccabccbbcabbbcccabacabbbabaccbacccbabaabbccabbabbbabacbabaaaccbcccbbaacbaabaacaabaaacabbbbbbababcbbcacbaccacbbccaabcbcababaaccbaccaabababbacccbbccbbabaccabccbbaabbacccacbacbcacbbcaababbbbabacbbcbabccabaccacbababccacbccaaabcabbbbbaaacacababcbbbbaccbcaaacaaaabbaacacbccbbcabbcbacbccbbaaccabaabbcabbbcbaccbbbacbbccbcabcabacccaaaccaabaccbcbbababbbcbcbacbbbccaacaaabcccacacabcbacabcbbcabcacabaaabcbbbacbbbacbbbbcbbbbcabcccbbaabbaacbcacbacbbcbaaaacccaaaaccacbcabacbccbcaccbccbcaabbccbcaabcabaacaccaaabbabacaaabcbbbcacabaacabcbbbcaabbabbbccaaacaababbaababaccbaabaccccacababcbbbbacacaccabcabaaacabcbcbabacaabbcabaaabccabacccaccabaacbabcacabaaacabbabcbbcabccbabaabcbacacbbbbaacabcccacccbbcacaaaacbabbbabbacabccbababbcabccacbcaaaccbcbaaabcbbbbcbabbaccbcaaabaacacbababacccccbbacbbabbccccbacaaabaacaccaaabbbcbaccbabcaacbaaaccccbcacacbbbbbbbbcbbbbbcaccaacbcacbbbaccbbbabbcaabcbabbcccaccabaabcbccccbacbabcacaabacaaacacbbacaabccbbccabcaabccbcabcbabbacacacabbcbcbbcaaccaabacabaabbabaacbbcbbaccabcabbbabbbbbbbccacabbbbccbaaccacaabcaaaabaabacabbbabaccaabacaccacabbaccccccbcacbacaaccccbcacbbacabbacaccbcccbcabcccbabaccbacbbbcabccbbacabbcaaababbbacccacaaaabacbaabbacaabccabccbaabbacbcaaaacbaaccbccbababbccbbcbcabbbabacbbaabacaccbccbbcbbaabcaaaacbcaabbcabcaacbcbccbcccabccbcbbbbcaabbacbcaaacbcbabcbcaabbccbcbaaaabbaccaabacaaccbbcabaaababcacbbcaacaabaacbabbabcccbacbbbcabccbccacccaaabbcabbbaccaaaabaabacbcbacbcccabaaacacbccbcccbbabcacbaabbbcbacacbaacabaababbaabbbcbccbbcababaaaabcbbcaabccbcaccabcbabbabcaacbbacbbbacacaaaaaabcacbbabaabaccabbbccacabaccccacabcaaabcaacaaaaccbbccbabcabcaacbcbabbccbabbcabcbcbccbcccaacabbccbabcccaacaaacacccabbabbcaabaaaaaccabbcbaacacbbcaccacacbbacacaccbabbcbcbcbbabccbcbacacaaaaacbcababccccaaccbbaccbbacbcbbaabbacbaabbccacabbacbaaccaababacccccccaaacacaaabbacbcccbaabaaabbcabbaaaccccabbaaaacabbcaabbbcaaabcaaacbccbbbbbcbbcbbbccccbabcaaacccbaaabccbbcacbaabaabbaabcccabcababaaabacbaaccbaaabacabcacbbabbacaacacabccbcccaaabbcbcbcabbaacbbbbcaacaacbbbacaaaacbccacccbccccbccbaccccacacbaacbcabcbbaaabcccbcabbbbcbaaccaabccbcaabcabcacaccababababccbccbccabccbaccabbbcbcbcaaccbbcbcbcbbccccccbaaacccbabbaabccbaacccbcccbbaaaccabbabcaaaaacababcccbbaaabcbbaaccaabbacbbbbcaaaccababacaccaaabaababbabbccacccaccbbaccacbbacacccbbabbabcaccbccbacbacbabaaccbcacccbcabccbcabbcccbcbcaaccbcaabbccccbacbacbbaaaaccaccbaabbccccababbccabcccaccaaacbbababbbcbaaababcbaccbabaccccacccbcbcbcaacbaababbaabcccacaaabcbbcbbccbbabbacbabcaaabcabcbabbcbcaabaabcbaaaabacbbccabbaccaccbcbcacacababcbaaacabaccbbaabbcacababbaabcbbbaacbabbacabaccbbcbaacaaaccacbccbccacacaaacaaacbaaaacbacbbcaaacaacabccaabcbbabbaabbabaabcccacaabbcbbabbaccaacaaababaacccacbcaabaccabcaacbbaaabcacbabcabcbccacababacbbccaaacaaaacbacccccbcaabcbbcaaacaacbbcacaaaccccacbabcacbcabbcabccabaaaccbbaacbcabbbbbbbaccaaababcbccbacaacccababbbccbbabbccaacccaaccabaaacbabcaababccabcccaabcaccccaabcbabcabccacbbcaccccbcaacbaaaabbacaaabbcabccababcbbabbacabcaabccaaacabaacccaababaacbabaacbaabcbcabbbaababcabaacbaaabbababcaaabaacbbcbcabbacbbccaccaacaaacbbbbccabbbaccacabcabaacaabacbbacbbabbcacabccbacccabbcccaacbcbbcccbcbaabbbcacababacbcaababaccaacacaccbacaccbcaacbbbcabbaaccbcbbcaabcbcbccacabcbbbcccbcbbcabbababbcbaccabccbbabbcbbabcbacaccacacaabbcacacbcbabbbcbaacbcccaacaacacbcbcbcaacbbbabbcbcacaacbbacccbcaabaabbcbbacaacbacbaacccabbaaccbbabcccbbbbcbacbcbcabbccbbcabbbabaacbaacbbabcccaaccbcbbaccbcbbbaccbabbacccacccbaabbbbcbcabcbcbaabcbbbbacaaaacbbcccbcccaaccbcbcacabbabbbacbaaccbccbaacccbbabaaaaccbbaccbabbacbbcabbbcacaabcacbbbcbcacacacaabbcbcbbcbbaaccacccbaaaccacbbacacbccbaacaaaaaaaabbbccababbacababbcaabbabbccccacacbcbcacbcbcababbcacaabbaaacbacacbcbcabbacccabcacbccccaccbbcaccbacbbccbbcaaacacbbabbabbaaabbcabbacabcacbababcccbbacabababcbbcbbcaabaabcbbaccaabbabcabaaabcccabccbacaccaaaccaabcaaaaaabcbacacbbcaccabcacacccbaaccbcaacacababaabbccccacbabbacaacccbccacacbababaccbbacaacccbbabaaacacacbaccaaaccccbccabbcbcabccbaaabcbcaaabbccaaccacbcbbaccbbbabbacbabccbcbbcacbacabbbacbbbaacababbbcccabbbcaabacbcccbbcababcbccbabccacabaababbbbbbabbbababcbabcaabbbbbaaccbaaacbcaaaacaccaabbcacacbacbaaccacbccaaccbcabbbbbcbcaabbcabccaccbcbbcabaacccccacbbaabacbbbcacaaaccacaccacaaccbcbbcaacacbaaccaaacbaccbcccabccbccbccccaccccbabccccccacacbacbaabbbbccabaaabcacbabcccbacaabbbacbaababbacbabbcaaccbcaabaacbbccaccbbacccacbbbcacabbbacbbbbaaacaabaacabcaaaaababcbcbcbbbbaaccababbcbabaaaaababbabbbaccaabcbababaacaacbabacaccbbcabccccaacaaaccaacaabcbbabbccbabaccacbcacbabcaacacccccbbccacbbbcbbbabbbbcbabbcbcccccabaacbbbabbacabbbbccabcbbaccabcccccaaacbcbbabccaacccbaaaabbbacccbbbabbccabbbabacaaabaacbbbaaabcaccbacccabbbcccaabbbababbbbaabbcabbbcaccacbcbbabbabcabacbbccacabcbabbbbaaacbbbbabbcabcacbbbccabbbaaaccccccccaabcbbabbcbabaccbbbcccbaaabbbcbcbbacbacbaabccbbcbbbabbaaabaccacbbccabcbcaaabcbbbbcbcaccbcbcabacbbccabababbcabcbcccbbbbabaccccacaacbcccbacbcabccccacbabbaaccbcbbaacaabbaccaabcbbbbcabacacbaabaacacbbccccababaacbacaabcbcaabccbcbaccacaacbbabcccbcaccbcacaabbbbbaaabccbbaaaaacbcacbaaabbcaccbcacbbcbbcbccbbbbccaaaabcbcbbacaabacbaabacacaaabcccabacccccbacacabbcbbbaacbaaacccacacabaaacaaaabacabcbcccacaabcccbabccbacaacbacacaabcbbbcccbacaccbcbabcbbacbbccaabcaabaaabbacaacaaccccabbcccbaacbbbbbabaccbcbccbbcccbcccbacaaabbacacbcccacabaaacbccababcbcabbbbbbcbbcccaccbababcbbcccbbcaaacbacaabbaaaccaacacbaacaababacaaaccaabaaccbcccaaaaccaabacabbcabcbacbbbcccbcababbaababacacaaabbbbaaaccccbbbccccacccbacccccbccaababbabcaabbaabbcbbbcbbbccbbcaabbacabccaabccabcaaacacccbccbaaabbbabaabccaaccacccbabbcababacaabbccccbbbaccabcccaaabcbbbbacacaacbbccbbcbcbcccabccbcaaaabccccccbbaaabaacacbcbbbbbbababacacbcacbcbbacaccbbcacbaabbccbacccaaabaaacacbacbabababcaabbbccbccbcaababcbbcbbcaacccabbacbcabcaaaabbcacbcbbabbcbcbbacbbcabbcacbaacabcacacbccbaccaaaccabcaababacccccbbbccbbcbaabcbacccacaaabbcaabaaaaacaaacbabcccbbabbcbaaacbacaccbcabaabaccccabcbcabccacabacbccbbacaacccababbacbcabbacbbabbcabbbaabacbaacacaaacbbbbbaaaabbbcabcbacababccabbaaaacacaacccacacacbaaabbacacbbbbacbcaabbaccaacaacbabbccabcbbabbbcaccababaccbaccbcaaccccbcabbababccabbaabbaccaaabaaabcabbacbbaabaaacbbcbbaaccaabcabbbbaabcaccbcaaabbbccacabcacbabababbbccccbbccccbcbbaabaccbcbcbbbccbbbbbbccabccbacbbacbaabbcacaaacaacabcbcbcccbbccacabbbcacbccaaacaabcbcbaacaabcbbacbcacbaabcabbabaccaaaacbabababaabacbcbbccaaaccaabacbcbbbabcccaacbcbabaabacacccbabbbaaabcaacaccacbabbaababbbaabbbcbccbaacbcbbabaacaacabcabcacbcbcbcacccccabcbcbabaccbcabacaacbcacccacbbabbbacacacbaababbabbaabcbabbaaaacacbacbbacaaaabbbbcbbaaacbccbccbcbcbcabacaacaccbcccbabaaccabbbcaacccabbcacacbaaabbbcccbbbacccbaabaccaacacaaccbcaaaaaaaaabccccacabacbbcbbbbaccbcbacbacabbcbaccabaacaacabcacacbbbcccccbabacaaabacbbbcaaaabbaccaabbcaababcbcbcaabbabccbbbbbacbbaacaaaccccbaaacaaaabcccaabcacaaabccabbaababcbcbbcabaabbbabbacbaabacabaccbaabbbaccbaacbbabbaaaaccccaababacbaacbcabcbacbabbcbccbccbcaaaccacbbabbaabacabcccacabcabbcaabbaabbaaccabbbbabbbbbbcacbbccbacccbcaacacaccaabaacbccababaabbbcbaacbcacacaacbacbbbabbaabacbaccbbccbccbacaacacbbcbacabcbabbbaaaaaacacccccbacbbbcbaabcabcabbbabccaaaccbbccabccacabbbbcccabbcccbacacbcaacabacbaabcaaabbcbbbacacabaabaccacccbbbcaccaaacaaacbccbaabccaccbbcbbaaaaabbcabcaacbcbbabccacacbccacbbcabacabababccbbccbaaaabbcacbbbcacababbabbbababbaaaccbbbabababbcaabcbbbcacbcbacbacacbaccbcbabbbaaccbbbacbbacabcaabacbbcbcbbcccabbbabcabbcaaaabaaababcabbcacaaccbcaacaccbccbabaabbbaaacbcababcababcbbbbabbbbbbaacccaacbbccabbcbabaacaccbcbbacaabbabcaabbbbbcacbccaccaccbbaaaaabbaaabaaaaccbaccaabbababababcbbabbacbcabacccbcbabbcbbbaabacbacbaaabbccbbbbcbbcabaabbbcbbaabbcabbbaccbbccaabcbaabcbacbcababccabbacccbaabaacccaaaaabacbbababbcaaabcbaababcccbacbcccbbacacccbbaabaabcbcbcacacbbbbccabccbacaacbbbccbbbccabaababaaccaccbcaabacaaabbbccacccabbabbbbcabcabbacabcacbccacbcccccbbbcccaaaabaacaccbcaabccccbcbcbbacaaccbcacaaabcbcccabcbacccacaabbaabcbbaababcaabcacacaccbacaccabbabcaabccccaaaccbbcbacbaacbbcabccabbcaaabcacacbaaabbaacabbbbbcccabcccacabbaccaacccbcbacacaaaacaccacaaccccccccbaabcababcabcabbbbbabcbaaaacabbbabcccaabccabbccccbbabcacbbbbcccbcbcbabccabcacbbabcacaaaacacaabbcbcccaabbcacbbabbbaccbabaccabbcccacbbacabccbaabbcaaacacaccbabcbabbccaccccabaccccacaccabcabcabacacbbccccbaacabbaccbbbcbcacacabcccbcccbcbbacababbacbbacaccbabacaccbacbbcbaaaabbbcacbcacabcabacaacccabcaabaacaaccabcbbccaccaacaabbababbccaacbcbccabbcacacababbaccbbcbbbacbaacbaabccaabaacacacbccaabbbbabcabccaacbabababcbbbaacbabacbcbaacbabaabbabbcaacaaccccabcabccaccccbcabccabcaabccabcbbacbaccbccbbacaaaccbaabacaaabcabaccbbaccaaccbbacccabbccbbbaaacbcbbbcacbbbcccbcacbacabccabaaccaacacacbabcabbaabacbcbbbcaababbbbabcababccbcbacbbbcbcbbacbbccaababcabcbabbbaabaabcbabaccbccbaaabbaacbabcccacbabcccccbcbbabaaaabccaabbacabbbacbccbcacabbccaabaaaaabccbccababbcaabacbbaaccbcabaccabbbbbcabccbcaacbaaccbbacccaccbccbcabcccaabcbbaaccabccbaaaaacbcaabacabcccccbbaaabcaaacbaaabbaabbccbabcaabbcbacbcbabcbbacbbcbbabbbbabcaaccabaaacacaccbbbbbbcacabcccabbbbaacccabaaabaabcaaaaacbbcbaaaacaaabababbbabaccacccbbaaaaccaacbaabbacaccbbcaabbbcacccabcccbcbcbbaabbcbaaacbabababacaaababccbabaacacbbacacccacbbabcccacbcaaabcbcbacbccbbabcccbacbabcbccccbbcbccbccabbcbbabcbcbacabaabbbccabbccbbcbcccbcbbacbaccabcaaaacccbaaabcbaaaabaacccaaacaacbcaabaabbabcbabccbbacbcbcaabcbaccabbacbabbccacacabccabacccbabbababbcabbcacbabbbbcaaaccbcccacbcbbbcbacacccbccaacccabbabcacabaccacbabccbbccbacbcabababcbbccabcacbabbbaccacacbcbbbcabcaacacaaaabbacaccabcbccbcbbaacacbbbccbabcbabbbbaccccabbcbcaacbbcacacabcccaccabcbaaaaccacababcccabaccaccacacbacccccaaaaaccabbcacbcccaacbacbaaaaabbacabbaaababcacccacacacaabbbacbabcaaaccbcbbcccbccbabbacaacbcaacababbbbccccaaabcbbacacbbbcccabccbcacaacbaababaaabacaabbbcaacbabacababaacccbbaaacbcbacaabcccaccacbbababaacbbccabbccaaacbccbccabaabccbbbbaacbbaabaabacbabaabaaaaccaacaabccaccaaacbbbacababbacacccbbccbbabbcccbccbaaababcbbbacabccabacabaabaaaccbacccabccaabbcccbbbbccbbbcbbbccaabbbcbbcbaccbabcccaaaabaacacaacbbccbbcaabbcbccabbaabbcabccaaccccabaaabbbbaabbccacabaaabacbcbccbbabbcbbcbbcabbaccbcbcabccaabcabcacbbccabcabababaaaabbccbccacabbcaccbcaaabcbbcaabccbcaaaaabaacaccccbabacacbcbabaccccaabcacaaaabbbaacaacccbcacccbabaabccaaccbbaaaabbbcbaacaaaabacacbbbbaaabccaaababbbcabbcaccccbcaaaabbbbacccbacbbccbbcabaacbacbbabbabbaaaacbccaaacccaacccbaaccbaababacbabcabccabbacbababbcbcbbbbacbbbbacbcaacbccabbcabcccbaaccabbcccacccababaaacbbbbccaccabcbbbaabcbbcbccccbbccbaccbaabbbbaabcbabaabcaacccccbbcaaabccaabbcbaaabcbaaacabccacaaaabaacabcaccbcbbacccacaacbbcaabccbccbbcabacbbbabaccabbcaacacaccccacbbcacbacaacaccbbcbcabcbcccacccccbbcabbccaacbbbbccbbbccccaabccbcacacbcaacbabbccbbaaabbbaabaaabbcaabaccaccbabcaabaacbbcbbababbabccbbabbbcbaccacbcaacaaabaabacbbbabaccabaaabacccbcaacacbaaaacbbbbbaccacbbcacacbccbbabacbaaaccaccbabacaaacabacbacccbaacacacaacbbcbbaacacbbccacbcabbbbaaccbbacbbbcaabcbbaacbccbbbabbabcabacbbaccccabcaccaaabbcbacabbabcccbcbbaacbaaaacccbcaaccbbbcaaaacbccaacbccabcbaacbbbbccacaaaaacaccabbacbcbbaabbbacbcabacccaabccbbcabacbacacbabbbccbababbcbccabbccabbacbbbcbaababcccbbaacababbababccccbacacaaccacabacacaacbcacbbcaccbcaaabbababbbccccbacacaaaaacacbaaaacccbcccbbcccbbcbaaabbabaacbbbabbcbbcacbbacaaabbacbaabbabcbcaaccccbbaaccbbccccacbaccacbbccacccccbabbabccacbaccacababcabbcbbbbcaaccccbcaabcbacbcbcbbcbbcaaaaaababacbccbbbcbaccabccaaaabbbbaabbaabacacacbbbaabaababccbbacaaccbbcabcabaabbacbaccaabacabcaaabcbaaaabaccabaacabaccbacaababcbccccbacbabcbbabbcbabbacaabccabbcbacccbbcacccaaabaabacababbaaccacaccaaaccaacabbbccbccbaaabaccbcaabcbccccaacababacccbcbaaabbbcabcacbccccacaabccbccccabbbcbbbaacbbbaabacacaaaabaacbabbbbbcbcabbabccabacabacccaccbbcaaaababcaaacacaccaabbbabcbbbcaaacababbabbcaaccbcccacbbcaaaccccbbcabcccccbaccbcbccccabbccacababbccbbacabbaacbbbbcbbcabcabbcbaacbaccbccabaaacacbcbcccccbcbabccaaaacbccbcacccbcabcbacacbbabcabcaaccabcaccaaacbbacacacacbaaabacccccababcbcaaacbcbacaabacaccacbbaabcacbbcbacabacabcacbbbbccbbabccbbbbaccabccbabacbcacaabaaacbbababcabccbcbbcbbbbcabacccbbbabcacabacbaaacbaaccbbaacbbbacbcbabcacaccacabcbaabaaabcccaaaabacbcabbbcaccbbaaaabbbbcbacbaaaccaccabacabcbcbaabcbcaccbbaaacccbbbabcbaccaabacbbcbcbabaaaccbccbaaabbbcbabcbaaaabccbcabaccacbccaccbbcccaabbbbbccbabaccaabcccabacaccacaccaccbbabcbaaaacaabccccbcabcbcaaacabcacabbaccbaabbbaaabbbccbabaaaaaaabaccbbbcabcaacacbbbcabbaaccaaccbaccbabacbcbcacbbaabacbcabcabababacccababbbbabbcaaabcbcacaaaaccacbbacbbbabbcaaabccacacbbcbbaabaacacccbbcbababbcaabbcbabbaaabaacbabcabaaacaacbbcaaaacabbbcacbcbbbcabacccbcbacbacbccacacabaaaaabcaccacaccbacaaaccccccaaccbbacbacbbbbcbacbbcbcacccbccacabbbccbabcccccacabcccbbcabbbbbaacbababaaaccabcbbbacacccccbbbbabbbaccbbacabaccbabbacbcaccbabbbcbcbbbbabbbbbacaaccacabbbbccbcbaccbabcaabbcababcbababbbccaaabbaccacbbababbbabbccabbcabccacbbcaabcacacbaccacabcaabacabbcabacbababaacaaaacaabbbcccacbaccbaaabcabcbaabbaaccababbcbbaabbabcabbacacccbababcacaacbacaccbacbbbaccabccbabbcaaaccabaacaabaacbabbcbaccbbbcaccaaaccccbbcacbbcccacbabcaccabbcacbabbcccaaaabcbccabcaababcbccaccaaabaacabcabcccbacbbababacccaaacaaaaccbabcbcbcbbccbbcaaabcccbacacbbbbcaababacaaccacbaababacabccabccabcbccbabcbbccbaaabbbcbbacaabcabaabbcbbaababcbcabaabcccbccbcabacbaabbbabcaccbaacbcabcaababbcacabaacaaaaacbacbacbbbacbbabbccccaccabccabbcabacbcccbbccacbcabcbcaaaababaacacabcbbcabbccaccbbcccbbaacabacacccbcccccaacccbccbaaccbbabbaaaccbcacacbbbaaccbabaccbaacbabbbbabbaaacacabcaabacccbbabaacbabccbacacccbcabacccbacacaaacbabcbbbaccaccababcbaacacbabacbccbabbaaacacccabbabaacbbacaaccbabbbbcbccbbbbacbbcbccacbaaabcacbcbabaaaccbabbacbcaaaaaababaaaacabbabbbaababaabcbacabaaabcccabacaacacbababccbbabaabaaccbbbccbccbaabcaccaaccabcabbcbabcaccccabbccabacbbcccababcbcbbbccccabacbcbaabacacbaaacaaacbacaccbaabaabccacbcababcabcbbcbccbcaabaaabaabbcaabbccaabcaaccbacbcaabaaababccabcabccbcbccbcbabbcbabbcababbccacababaaabbabaabaccaaaabbaabcaaacacbacabbacababbcacabcbcaccbaabaaacbbbacbccbabbccabbbcccccbbcabcaabccbcbbbaccbbcabccacbacbabccbbcbbccacbbbcaabcacabaabcbcbcbabacbcaaccbbaccccbbcaacccbcacaaacabcbcabaabccaccaccbaacccbcaabacbacccabcccacaaaacabbcabcbcbaaacacaacbbbaabbacbabbbcbbaaabbbabbcabcbcbcacacbbabccacaaacbbabbcaaababcccabcabcccacbbaabcccbbccacbbaccbabcbcbccccacbcbaaabcbcaaababbaaaaccbacbabccacbcbcbabacbcbbaababccccbacbbbbaacbbaccaabababcccbaaccaacccbcbacbcbbbbabbbbbaaaaaacbcacbcabaabccbcbcbbbcaaaabccacabaabcccabcabaacaaaabccbacbabccbcbcbaaccaccaacbbbcbcbcccaaaccaccabacacabaccacbacaaacbababaaabcabaaccacbabbaccabbcbbcabbcabbbacbbabccaabbacbbcabaacbcacbaccbbbaaabbcabcbccbaccbbaaaabbbaacacccbcbcbaccbcbccbacbccbbacbbaabcabababbaaabbbccccccbbbaacabcbaccacbbbaacaabcbccbbabcbbbabbaababcacbbabcbacccabbababaacaccbbcccaabbabacaaabcabbcbabaaaaabcabbacbbcccaaaababaaaabbbcabacbcccabaccbbcacbaaabbcacbcbbabbacabbaacacbcccccabbbabccacbccaacabcaacbaaacccbcbcbbbbabaccccabacbaacccbcbcacaaababccbaaccccbcbaacbaacaaaaaaacacaabaabaabacababaacbcbbcacacabcaabbbcacabbbcbbbaabbacbaabacbccabbaaacacaabbbbabbcbcbbbcccaccccccbbcbcbabbbbccbbabacbbabcbccbbcbcacbbacbaacbccacbabaaabbccacbaaabcccabacbaababacbbccbcbcbbbcbbacacacbbbbbbacccaaaabbcaccbbccbcabbbccccabbcaacbacaccbaaccbacbbaabbcbccabaabbcbcccabacbbbaababacccaacacaabaababacbbbcaaaacacabbbabaabaaacaaccaabccaaacacabbbacbacbccbcbccbcaaaaabaccbacbbabbbbbcbcbbaaccaaccabccbcacbbbacaacababbbccabaaacbbcaccabbbababbbbbaccaabcacabcbaaaacbbcaaaaabababccaabaacccbcccbcccacbaaccaabbabacbaababcbccacababbcabbabababacaacbbcbabccccbbaacbaabccaccacbccbacccbbcaaacbcbcbbbbbcabcaacaaccacbcaaaabaaacaacacaacbbabbaababaccbccaaabaccbcbcaccbcccbcababaabbaabbaaccacbcabbcabcbcbbbcabaacccccaabaaacabcaabacbabbcbbacaaababbbbabbaacabacbbbaccabcbaacaacbbbabaccaabbcacbbabccbabaccacabbbacbacaccbaabbcbcaabcaabbcaaabaababbbbbacbacabcaacbbbcaacbbbbcacbbbabaacbcabbabbcbcaaacabbcccbbaaacbacbcbbcccaabbbcaccabcbabbbcaaaaabcbcacaaaaacbccbbbcbcacccaacccbabcabaabbacabbbabbbcabcacccabababcacccbacaaabbacbbccabbbaabbabcbcbbbccacccaccccacbcccaaccccacaccaaababcacaccbbabababaabcabcbcbbbbcaccabacbabbcccaacabccaaaacabccababbcaacaccbcbcbcababcccbbaaaaaaabbabbabcacccbccaacccbbbbbccbbbcbbbbaacbbcbbcabcacaaacbacaabbbbbbccbbcbccbbcbcbbbccbabbcbaccbaacbabbbcbccacbacacacccbbcbbcbacaabcaaccbcbacaccaacccabccaaccaaabbabaabccccabbcccaccaaabbcaccbacbcbaccababaaaacaccacbbbabacbcacabacbbcbbbcaaccabcaacbbcbaacabcbbabaabbbcbccbbaccbcaaacbbacbcbacabcacbacbcacaaacaccccbaccabaacbbacacabbaabaababcacbcaccccaccbacaabbbabbcaacbcbbcccacbacabbbbbbaaaaaaaacccbacaaacabaacbbcbbbbcbbbbaabcbabbccbbacbcbbbbcaacbcbbaacaaaaaabababcbbbcbcabcacbaaabbccaaccabaaacccbabcbcccbbacaaaacbcaababababcbcbbabaabbbbbcbbabaacccbbbcacabcaccaacaaabccaaaacabbaabbccbbcabcaabcbccabbccaaaabaabcbcbbbbaaaacaabcabcbcabccccccaacccccbacbabbbbcbaacbbcbbabcbbcbcbcaacbcccabcaccaaccabababbbabbcaabccbccccaabbcabacabcbcabccaaccaabbcbcbbccbcbbcaabcbacacaaabcbcacaacbaabbbbbccabbaccababaccbbabcbacacbabbcbcacccaabbcbaabaaaccbabaacbaababbcaccabbcaccbcaaccaccbbacaabcbaaabccabacacaacbaacabcbbacaacacabbbccbbccbbabccbaaaccababaabcbabbcbcacaabacabbbabcaccabbccaaaccacaacbccbccacbcabccccaabcbbbbacaaaaacbcbcacaabbbcccccbabccccccaacbccabbacbacccbbacccbaccacbbcbcaababaabbaaabaaccbcabbacbccaabccacaaaacaacbabcacbccccbbbaabbccacaabcccabcccabbaaacacbaaacccabcbcbcaabccbcccaabaccbabbabbcaaccbabbababcaaccaabbbccbacacaabcababacbbacaabbbbbbcabcaccabbbbaaccbbabacbabaaacbccacbabcabbbcbabacbabcacbccbbbbcccbcabbcbacccbcbbabacababcbaabcaabacbbbcccacabccaccaaccababcbbabaccabcacabbcbcababbcbbccbbcaacbccacabaaccaccbaccacbacabbcbabbbcaabbcbcbbaaacccbbcbbaacabbbccbabcccbcbcaaaabbbbccbabaacaaccacacaaaaabacbcaabbcbacbbcacabaaccbbbabcbccccacccbbbacacaaccbacccabccbaacbacaaccbabcbababbacabbccaaaaabbcabacaaabbabcaccccaabbcaabcbbbaaccaacaaabbaaacaaabcbaccbcbcaabcabbcabacacaacacaccacacccacbbcacbaacccccaaaaabbcbacacbababaaaabcabcbaaaacbaacccaaabcbcbbbbbbbbccaacaacbcbcbbcccbcccabcbbbacabcbcbbbacbcacacbbcaabacaaccabcbcacccabababccaaabaaabbaacbbccabcacabaabbbbacbcbbccbbbacacabbaabaacbbccccbabaccacaacbcaaccccaababbbbaaaabcabccbbabcaacbbccbccabaccacaaccabcababcbbaacaccbacaccabaacccbaabacbbcacacbbbbcaaaaacccbaccaabbcabcaacabbbcacaacaaabcaabcbacabbaaaacbbacaacbacbcbcacbcbcbbccccaabbbbbabaaacccaabccbcbbbcacbcaccabccbbccacacacababcbaacbcbcaaaaccacccbbbaacccbabbaccabacabcabacaccccacbcbabbaccaabcbbbabbbcbcbbaaccaccccabcabbcbccaaacbccccbccbbaacaccbcaacaaababbabaaccbbababacbccbaabcaccaccccacccabcbacccabbbbbababaaccabcbbaababbcabaaabaabacabccccbcbbbbccbcaccbbbaccccabccbccabcabbbcacacbbccabaababaacabcacaabacaccbbcbccccacabbacabcccbaacbbacbccacbbccabacabccccabcbacaacbcbabacbbcbcbbaccbcbcacbabbbccbbaacaacaabbcccaabbbbcabbbbacababcbcbbabaaabaabbbacaabbbbcabbbcbbaccabbbabaaaacccaaaabaacccccbbbacbbabcaccccbaacaccccbcacacacaabbbcbbcbacccbbbaccccabbaabbcbaaaabbbcbcacaaababccbabaaccaccbabbaccbaababaaccbbbcbcaaccccccbbccbcacababaabcaabbccbccacaacacbabaaccacaaacaacbaabaabcbbbbbacaccccaabbbcaccccacacbbbbbccacacccabaaacaaaababbbbbaaaaacbacbcacbacbabaccbacaabcbcacaaacaaccbbccaccbcbaccbbaabccccccabccccacaaabccbbabaaacbccbcacbbccbaabcbbcbbaaaaacccccabcabbbaaacabcaaaaaccccabbbacccbabaaaccabccbcbbcbccaabaacccbaabbcbcbaababbbcbcbacccabcbcbaaaaabbccbacbbbccbbcccccaabacccbaacccaaccbaacabbcbababcacbacaaabcaccccabaccaabcaaaababbacbcababacbabaaacbacaaacaaccbacaababcbbabbbccaacbaaabcccacaabcaabcaabaacaacaabaaccabcaaabcaacbcccbcccaabacccababcacabaccccbaabbcbcacbbbbcaccaacbbabbcaabbbcbccbbaaaaabbabcaaaaaaaaabaacccabbccbbbabccbbaaababcabacbbabbaabbacabbccacacabcacaabaccbcbccaccbbccaabaacbbbcbbacacbcabcccabbbcabababaaabbbabacbcabbcbaaaaacbbcccbbcabcccaacaabaaacbcbabacbcacbbcabbbaacbbbbcbcbbabbbbabbcbcabbbccabaabbaaaaabcbabcbbaaacabaaaacabaabcabaabbabbaacaccbaacbabbcbabacccaaccaccaaababbcbbcbaaacaacbacbaacbaacccacbbbbaababbccbaacccabaaabcabbcccabbaaacbaccccbaabcbbaacbacbbbacbabbbabbcaaabacabbabbbabbbcaccccaaaaabaacbaabbaabbcbbcbacccccacccbbaaacbbaccaabcaccabcacccbaabaabbaccabbacccbacbaababbbaacacbcbacbbbaccabbcbabacaaababcbccabbaccbaccbbccaacaabaacccacabbbabbaccbcccaccbabacbbccbaacacaaccbaabbbccbccccbbcccbcabaacaacbbcbbcbcbaacbacbcabacacbcbbaaabbcbccccbbcacbacbabbabcbcccaacbcccbcbabbabbaaaccccbcbcccaccbbababbbcccaaababacaccbcabbaaacbaaccabaaaacabcbcbacccaacacbbbbbccbaaabccccacbababcaaabccabbccbaabbaaccbcbacccaabacaaccababcbcbabbbacacbbcaaababaabaaccabcacbccbccaabbcccbbcbcbaccbccbbbbbabbbcaccccaacbcaabcccbcbabbaccccabcbacacacbcbaccbbcaccaabbbaccccbabcababcabbcccacabacbccacacababacababbccbaccccccabacaaccccbccaccabaaabbabbcccaaccccbbccaacbcaacbbbbbabcabacaaacabbbaababaabaaacaaaccbbbcbcbcccccbcbbbccbcacbcaabaccaacbbcbbccbabbcacbccccabbbbcaababbcccbbaababbaabccaaaacbccaabccbcaccbbbbabcabbaabcaaaacbbbaacccaabbbcabaccababaaccccbcacccbabbbbacaccbbcccbabbbabaccbbcacbccbacbbcccabaaacabaaacacbaaaaacabcacabacaccabbcaccbccabcbcabbabbcbcbbbacabbbbcbcbabccbccacbacaaabbbabababaabbcbccabcacabbabbbccbbacccacbbbbccaccacacbbcccccbacabbccbabcbccacbcbccbbabbbbabccacccccaacccbcbacaabccacbacbccccabcbcbbbacbbbcbabbccbcbcbbcccabccbcacccbccbaabbcbaaaaccccbbabbbbaacacabcbbcbccbbcccccbcbbabaaacaaaacabbaacaaacbcacbacccaacccacbabaccacbabbacabbbccccccbaacbabccaaaaacbbccbccababcaaabcbaaccacbacbccccbabcaabaccccccbcbbacbabbccccaacacbaabcaacaabcbabbabababcbabbcabababbabbbcaaaaacbabccaaacccbcaccacbcaaaacabbccbbabbbccaacbbccaacbcacbacbbabccbaabbababcbaabaaabacbaaabccaacacbbcbccabacbacbcbaccbabcbbbcccaccacccbcabcbbcacbccbacabbbaabcbcbcaabccccbbbacbabaabbacaabacbababcbcabccbaacabbbbacbccacbccaabaaaacbcaccabbaaaccbbcbbabbabacacaabcbbabbabcbbbbcabccbbabaaaaaacbbbaaccbaccbabbcabcabaaabaabbbcaabcbbccabcbcbbaabbabcbbabbcbcacabaacbbcbcccbcaacccaababacccbacbaaabbabaaaacbacacbbccbcbcccbacbaccbcaccaaabcbbbbabcabbbbcbaacacacaaacaaabcaaaaacacccbbccbbaababbcaacacbaabbbcbbabbbcaabccbbccccabbacbccabcbbbbbbbcccbaabcaccabcbbccbbbcabccbcabbacbcaababacabbaabaccaacaccbccacbaacaacabbbacbbccbabbcabaabcbcaabccbcbcbbcabbabccabbacaccabcabababcbacacacaabbbbaababaabbcbaaacbccacaccbbbabbcbabccabcaaacbcacbaccabaaabccbacbabcaabacbbbcbabbcbbcaaccccabbaaaabccbacbabbbacacbbcbcbccbbababbacabbcbacbbccbbcabbccacbaabbcbbcbbcccccacacaaaccaaaabccbccacbccbaccacccaabacbbbbcababbabbababcbccacbccbbaacabbaababbcbcaabcbaccabcabaaaabbbcbbabccbabbbcaacccbcaaaabcaccbccbbaaccccacabacaaacaabbccaabbabbaaabbacbbacaaacacaabcccbcaccacbcacbcaccbcabccababcaaabcbbaabcbbbcbccacbbaabbabaaccacaccbcabcacbacbaccbacbcaaacbcaccbbbbcccbcbaaabaaaabccabacbacabbbcaabbaccccacacabcacccabbaaaacbbcbcabacabbbcaacbabbbaaaacccbcacccbbababcbbbabcbabccbcbcccbabcbccccccbbbbbccbbcbbbababbccbcbbbaacccbabbbbabcacbabababacccccaaabccccabcbccbbcbcabbcbcbbbbacbbcaabbabccbcbbbcbacccacbabaccccaaacaacaabacbcccacacccaaaaacacaccbccacaabcbcbcaacbaaaaccaaabcabacbbacbbcbabcbbabccbabbcaacbaccacaccaaabbcbabbaaaccbccacccbcaabbacccbccccacbbcacbababaacccabbbbbcbcaccccabccacacaacbbbacaaacbbcccccbabbcbbcaacccbbbccccccbacbbbaabaccacbbbcbabccaaaaacabaccbbbbacbcbcbbbaccccaaaababbcaccccabcccabaccaacbbbbcbaaaaabbacbcbaaaabbbbbccbcbacbbabaaaaccaaabcabbaacccacbcacbbabccaaaacccbbabbbcbcbccabaaaacbbbbbbcacbbbbbccabcacaaabccaaaccbbcbcaabacbbacbaacbcbbccbbbcaaaaacbbbbcbabacbabbabbbabccabbacbcbcbaaacccbccbcbaabaccababbcacbbcaccbbccabaacaaaaacabccbaababbbbcaccbabcabaabbcbacbbaacabbaccccaaccbbaaabcaacaaabbaaabbbcbbcaacbcccbcacbcccabbcbaacaacccaccbaaaaacbbbaaaabbcaaccccaacccacabaccbacacacaaabcacccacccaccaacbbccbaccccbaaacbbaaacababbcbbacbaabcacccaccabacababacccbacccbccbcacbcabccaaacaababbbbabcccabcabcacabbbcabcaaccccbbbbbbaccbbcbabbababacacbccbbabbbacbabbbcaaabbccbcacaaccabbaccaaabbabbbcababaaccccabbaacbbcbbccaaacbcbaccaaabbaacccbbbbcacbcbabbcbaacbcbaabacabcbbcacababbcaccaabbaaaaaacbaccccaabcccccaacacbcacbcbacacbcccabcbbaaccbbbbbbcbcabcbaacacccaaacbbacbbbcbacbbacaaaaaacbcabcccbbbaaccaabccacbccbaaaaccccaacacbabcaabcacabccbabcbabcabacbbabaccbcbbbbbcbcbbabcaccaaaabbacaaccacbababbbbccbccbbbacaabcccbabacbabcbaabcccabbbacaabbbaaccabbbcaacaccbcccabcacbaaacabaabcbaaaaacbacabcaabccacacbccccccaccabaabcbacccbabbabbabaccbcbccaccbabccbcbbcaabcbcbbccaaccccccaabccacbcaacacabbccbbbcaabbccbaaccbacbcbbbccccaabccabcccccacbaaacbabacabcccccbcbcbbcaacccccaaccaaaaaccbaacbcbacaacaabbbbbbbacaccbbbccaccacaabcacccaabcaacbacabaaabaccbaaaaabcbacacbbccbcbacacabbabcbcaccccabaaccbccbccabccabcabacbcabbbababbbcbbccabbbbbcccbcbbcaabcababbbcccbabbaabbbaccacbaabcbbcacbbaaaabbababcabacbcbaabccbabcbbbacbcccbacababcbaabcccbaabcbabaababacbbccbbbacaacaaaabbabbabbbcaacbcbcaabbbbacccbbacabbaaabaccabbbcbaacbbacbacaaabcabbacbccbaabbcacbabbbacabababacaabbbcbacbcaccbccbcabaacccbaacbbbcbcaaacbbbaabaabcabcccaabaacabaacaaaabcaaaaacbcbacbabbacbcbcbbaaccccaaacabcaacbaaaaaccacbbccbccccabaccaaabaacabbbcbcacbbaabcabbbacccbaabaaacbbcabcbcbcccaccbcbcaaccaabbaccbbcaccbcbcbababaaabbaabbcbccaacbcbbcbbaaccabbaaacacaaccaababbabcabbccbbcaabcbbbcaccccbbcababbbcabaccbcbaabcccaababbcacaababbabcabcbacabcaaababcbcbabaacacabbcbbabbccccacbbababaacabcbbabaabbabccbbabbbbcbbbcabbbbacbcaccaacbaacbabbaacaccacabaabaacbcbcabbcccaaccaabcbcbaacbcbcbcacabcbabcabcccbbccbacccbbbacabbcccbcabccaaccaaaaabbbbbbccbbcbbccbabaccaaacccbbccaacabbacabccbcbaababaaacccacbccacccababcbcaacacacaacbcaacccbacaabcaaccabccabccbbcabaaaccaacaaaaccbacbabcacbcabccababaccabcaababbcaaaaababcbcbcabbbbccbabcaacacbccccaabaabacbbacbacaaabccaababbaacaabbacbababbacaaaccccbacabbcbbcababbbbaabacbcccabacbaaabbbaacaaccccbbbcbabbaaabbaabcbacaaccbbcccbcbbaccaaaaaaccaacbcbaabccbabbbaaaacbabacbccaababbccbacccccabbcabbbaaacbcabcabbaabcbabcaacccabbbbbaabbaaaacccacccacabbbaccbaabbccaabccbabaccabcbccccabcacbbaaacaacbbacabcbccbaaccabcabbbcccbbabccabbacabccabaaaabcbaaababaaabccbbcaccaacccbbaaabcacaccccabbccbbbbccabbcacbbaacabcacaccbccccbacabbacbccabccacaccbacbcccbcacaaaaaabcccaabbacbbaabccacabbcaacaaccbbcacaacbbccbbbbbbabaccacbaaaaccbbbbcacaacbabbbacabcbccbbaabaccbbacacbbccabbbcabccccacaaababccbacacbababbabbbabababcccacbcccaaacabcabcacbcbcbbbbbaabbaabcccabaaaaaabaaccaabcbcbbacbacacacccacbaabacaccccaccacbcabbbaacccbcaabbabcbbaacbaaacaaaaccbccbaacbbbccbccccbacbaccaccaacbacbbcbbbaaccaccaabaacccabaabccaabbcbbbbacbbbbbccabbcbccaaacbbbaabacbbbacbcbaaabbbabbcabbbbaaabaacaabbaabcccaacabacbbaababbacaacaabacbacacabcaabcbbaacbccbaaaacbcaacbaabcacaabcccbbcbcbbabbbbaaccbcaccaabcbaacbbbbcaaabaacccabbacbbcacbccbbcbccaccacbbbcbcbaaccbcbabaaabbaabcaaaacaabacaabccbcaaababbbaacaacaccbacacccccaccabcbaabaaacccbbcabbaccccccbabbbbcccaabaacababaaaacbaacacbccacabaacbcabccccaccaabacbabacaacbbaabbccbcabcbccabaccaacaabcbbabacbcacaacbbaacabbbbcbaaccacbbabbbacaaacccacabaacabbcbcbbbbcababbccbabcacabacccbacaabcabccbacbbabbaabccbaccbbabbbaaacabbababaaacaacbbcaabacbbababccacaccaccbbaabcacbcabcbcaabbabcaaaabbcbccbabccaacaacccccbaccbcaacbbaaaccaccacabbbaaacbbbbbbaacaccbaabbacacbccccbbaacacacbbbbbbcccacbabbbaabcacaabbaabbbaaaccbacbacacbcbbbcaacbcabccbbacabaabbbbbbabccbccbaccbacaabbcbbccccacbabbbcbbcbbccaacaacaabacaccbabaaaccbaacbbcbbbccbcccbaacacaaaabaaaaabcbacabbbcababbbccbcaacbabbacbbacbabbabccabcbbbcaabbbcbaababbcbcbaacbbccbbcbbbcabacbbbbaaaabccacbccacaccababbcccbbaccbacbcabaaccbababcbbbcaabaaacbbcaabcbcbcccbbbcbaaababaabccccbbaacacaacaabbaabccacababacbbaacbcbbbcaaacbacacbcabccccbbbcabcccbbabbcaaacaaacaaaacaabcababccbaabbacbbcbabccabaabcabccbacaabbaccbbcccaaacababbbbabaacbaabbaaabaacabaccacccbcacacbaabbbaacbacabcaaccabcabaaabbcaaabbccaacaabbcbcccbcacacbbacccabcccbbbbccbababbcbcabaaccbaabaaabccabccaabbabcbacaababaaaccbcccbacbaabbacbccccabcbbcabaabbcbacccacaabbbbaccabbccbabbbaaaaaacccccabcccabbcbcbaaabbacbbaaacbbbbbbcabcaccccaaccacbbcabbbbacbcccbbacbcbcbbbcbbbacaaccababbacaaaacbbabaababbaccacabcababbaabcaaaacbcbcbbccbacbacaacaabaabcabacbcbbababccbacbacccaaccaccbccbbbaacbccabaabbaccacaaaaabacabaccbaaacbbcbbacabbaaabcbaacabbbababcbbbcbabacbbbacbccabccbbacabcaacaacaccaacccbabaaccaaabbaabccababbaacbcabcaaccaaccaaacabccbbccbacabcbabaabbaacacbbaaabbccaaaacbcbcbbabaabcabcbaacbcabbccbabbbccbcbbbcbacababcbaacbaabcbcccabbbccccbcbbbcbacbbcbacbcccbbbbababbcbbbccbabcbcbbccbccbcbccaaccbacbccbbbbbababaccaaccaabaaaabbbbcbacaccaacbbccaacaacabaababcbbbcbbccaccbcaaabacacccaacbbccbcbacbaaacccaaabaaaaababbcccccbbacababcaccbcbbabaaaababbbccaaccbbccbaababcbbbcbbcccbabbbcaabbbcbccbaabaaacbccbbaabbabacbcaacabbbacabaaccccccaabaccaababbaacaaaccababacbccacabcbaabaccbcbbbcacabacacbaacbbabbcaacbcbcbbabaaccaacbccaaabcbbbbabacabbacaccacaccbabbabbaccbccbbcabbbcabbcaacbbcabcccbcabaaacbaaacacbbcacbaacbcccbbbabcaaacaacbbbbaabbbccacbccbcbccbccbccacccbcabaccbcbcabbbbbccacacbbaaabaccbaacccbaabccccccbabacacabbbcaacabbbaacabaababbbbccbabaccbcacbacbababbcbbaacabcbcaaacabbbcbbccbababcbbccaabacbcabcaaabcbbbcbcbcbcccacacaacacbbcccaaaacbbcbbcccccaabbbbcbbaccacbaabbbacccbabbaaabbaabaacbaacbabbcbabcbaabcbbbbaccbccababbaaabccacbabbabccbabaccbcaccbcabbbcbcbacaacaaaaaaabcaaccbcababbcbbbcbbccbcbbacbbbcccacccbaaabcbcbcacabbcabcaacbababbacaabccaabaccccabacabccbabccbcbccaacaaccccabbbbcbbabccccccbbacbccaacabbcabaacccccaabbcabcaacacbcbbbbcbacbcaaaccabababccacaaabaacaccaaacaaaacbabcccbaababaaaacaabaaccabcababbbccacbbccabcaaacbbbabaabbbcbcabbacbbccbcaabaabbbabcacbbccbccaccaabcbbbcaaaabcaabbbbaabbabbcacccababcbabbbbccccabbbbcbcbcaacbccababbcabcaaaaaabacacbbcacaacaabbcbccccaacacbabcbacbacacbcbcabcaabcabaccabcbcbaabbcbcabbbaaacccacabbaaccabababccccbbbababcbcbbccabccaaabbbcbaaabbacacacabcbbbbaacbbaccbaabccabbbbacacbbbbcaacaaccbbcbaacaccacccbabcaacacacbcbbbabbacbaabccbbcccbbabbcabccabacbbbbcabbacaabcaacbbbacbaabbcaccabaabcbaaacbaaccaabbccccacbacacbacbcbabcccacbbaabbabbbccaacbcbbaccacacaacabaccacccccbaabbabbbcaaabbcaccbccbaacbccccaaaccbcbbbabaabbabacbbabbbccabbbaaabcbcbcacbbbcbcccbcccaabbaacbaacaaacccccabbabbcbacbcbccbacbcccbbabccbacbbbcbccabacabcbcbacbbabacccbcbacacacccacbabbbbcabcabbacccacccbabaccabbbabbacaabbbccabbcbccbbaccbbbabbabcbcccbcbcacbbcaacbbabcccaacaabcaccbbacacccbccccabacbabbcacbbaaaacbbbccaaccbcbcbbabcbbccbabbccccbacaacacbcabcbacaaabbabcbccabccacbbbacababcbbbcbbbacaabbbaabcbcbcbcbcbacbbbbabbbcbcaacabbababcacaabbcaaacbcaabacaaabbabacbcabaaaccacbcbcabbacbcbaabccbbaabbaccbabbcbabacbcacaccbbcbabbccccabcacacbcaabaacbbcccaaacaabaabbcbbabcaaacccbcbaabbcbbcbcbbaabccabaccbbbacbbabcaacbbabccbbcabbacccababcabcacacccaacaccabcbcbccabbcbccaacccbcababacbabbcbbcacbccccbcabcbbcbbabaacbcabbbcbacccbbbbbaccacccaccbabcbcaaaaccbcaabbccccbcabcbcabcaacbacaacabccbabcaccbbbaabaabcbcaaaacabbacbcbbacbccabaaccabaabaacbccbcbbbbcacbbaaaccaaaaacacacbbbababcabcbccbcbabccacaacccaaccbcbabacbbccbbacaababacbcabaccbacaaaccbbbbbcaaaaaaacacabcbaacbcbabbcbccbcaaacabacaccbbbabacabcbbbbaabccbacccabbbcacaaccabbbccccccbaabbcabcbabcaccaabcbccbabbacabcbcccaccbcbccbbbcbcaaabcbbacbaccabccbcabacbcbbacaabcaccbbbacacbbcccbcaabcacbbbacbbbbcbbcbcbcaabcaabbbacabcaccabcabbbabcbaaccbacaacacbabacbabaaaabaaabbacaabccabcababcabbcbccbbabcbabbcaaabcbabacabbaabbbabaaaabacbcaabaacabbcbccbbbbaabcabaccbbbcbcbccbbabbcbbcccacbaacaacbcbabbcbbaacabbccccaaccaaababcccabbbbbcccabcbabccbcccbccaacccacccaccbccbbbaabcaaccbbccbbccabcbcacbbacaccbbbaacbcacbbcbcabcbcbbabaabcacabbbabbcaccaacbaccabbbcabaacbbbaaccaccbabcbccbbbcaababbcbccaaabcaabbccbabcaacbacabacaccbcbabbaaccbccacacabccbbbbacaabcaaabccbbbabaabbcaacbacccbabcbbcaacaccbabccacabaabcbacacacbbcacaaaccbcbbcababbbcaabcbacacacaacbaaacacbcaccbccaabcabccbaacabbaacababaaaaaaccbcacbcbaaccaaabbbcbbbccacbbbaaaaaacbacacbbbbbcbcccabccbcabbbaaabaaaccbacabcababbacacbbccacaccbbccbccacccbcbccbcaccbcbabcabbabaaccaaabbaccbacccbccbbaacacbabcacbbbcaaccbacaaababaaacabcaacababbcccbcccabcccbbbbbaccbbaaccacacbaabbccabbacabcababccbbbccbabcbacbbcbcaaabbccbcacbccccbccaaccabcbbbabbccabbcbbabaccbccccbbaaabacbcacccccbcacaacbcaccabbaaccbcacbaacaacbbcbccbccabcbbcbbaacaabcccaacccabbbbcaabaccabccaaacccbccccbbacbccacbbacaccbbacbbbccbbcaabbaaabaaaabacccabcbababcabaabbcccbccccbabbbbbacbccbbabcbabbbacbcccaabbccaccabcccbcbabbcbcccabcbaccaaccaaccabbababbbabaabaccabbababbbaabbaaaaabccaaacacacbacccabbbababccababcaccbabbacbbbbabbabcaababccccacaabbcacacbcacbabacaabacabbcccbcccaabcbccaaabbcaabacaaccbaaccaacccaccaaaaacbbcbccabccbabbaaccaabbacbccccbbbcbabbbaaacbbbaaaabaabccccccccabbacbbaccaaabbaacbcabbaccccbbcbcbbbcbbbcbcabbacbaabbbacbbbcbaacbbabcbbbacbaabccbbabaacacacacaccacbbabbcbcccacabbcccacacaabaacaaacbcbcbbaaccaabbbbacbbcabbabbccbabcccbccaababbcccacbcbbabbbbbbabbaccacccccacccbaccacbcbababcbcababccacabbbcccababbccacccbccbbaaccbbbbabcbabacccbbcbbaabbcaacbbabccbbccbccccccaccbccbcbcbcabaabcbabcabcbccaacabaacbbbcbabccabcbaacbbbcaacaaacbcabbcccbaacbcacabbabcaaaaaacacbbaaaabbbbcbcaaacbaabacbbbbcaccaacbbcbcbaabcaaacbbbbaabccccbabcccbcbaacccbbcaccbbccaccbbbbbccaaabacbccacabacbaaabbccbbaabccabbbcbbaaabacaaaabaccaaaccacbbbcacaccaccaccbbaaccbbaccaacaabbcccbacacabaabbbbcbccacccbbcabbbacbbcbacacbcbbacbbbaabcbaaacbaaaaaababbcbaaaccacabbcbacaccbaaccbcbabbbcccccccbbacbcbbcaccbbbbbbbaaccbccbacabbbbcbbcacccacccaaaababcbbabbacbaaabcabccccbccababbcbacaaacbccbbbbbacbccccabbabbcbcbbcacbbabcabababaacacacbbcbacbacccbccbcaacaabbabaabccbaabacbbacbcababbcbabaabccbbbcbacacaabbabcaaacabcacbbcbabcbbbbababccbcaabcccabccaacaccaaaaccaaacacbcacbaabcacbbcbbacabbbbcabbaaaabbcabcaacbaaaabccbcabbbcbacbcbcbaccbabccbbbbcaccccbaacbcbcbcacbbbcabcbcaccaabbbbabbabcbcbabbacaaccaaaaaccbccacbbabaabbcbbcccccccacabccbbcabcbaabbabbbcacacaaacaabababcccacbaaaccbaacaccabcabcababababacbcbaacaabcaaccbbababbcabbbbaaccacbaaaaccbabccababacaaaaaaaaaccbbacabaaaacbababcabccabccacaabbbcacbaacbacbcccacacbbbbcbacbaccaccaaccbaacccabbbbabcbbbbcbcabaccbcccccacaabbaccbcbaababbcbcccbaaccbcaacaaacbcbbbaacabcbabccacaaccccbbbccaabcaacacccaccbcbcacccbbbbcaacbcbacaabbccaaaacaabbcaccabbaaacbcbabbcabbaccaacccaccccbbbbcbbaaacbaaabaaccbcacacbaabbacabcabaaabcccaaaabbbaacaacbabcaaaaaaaccabcacabbcbbbcbaaccbaccbbbcbbaacacabcaabaacacbabbcabcaccccbabacaabccabbabaacbabcaabbbaccabbbccababbaccaccbcabcaaccacccacbcabaacaabbabcccbbcbacbcaabababbcbacaabcaabcaccaacabccaababccbbcacacbbbbbcccbaaabcabacabaabaacaccacbaaacababcaabcbcbcabbaacbbcacabbaaacccbacbaabacbbcbbbcccbacbccbcbbbbacbbcbccaababaccbbbbcabcabcacacabccbcbabccabcbbacaaaaababccccaacbbaaaaabbbbabcbbbcbcbbbcbccabcacbacaccaaaacbbbabaacbbcaabcabccaacbcbbcccbababbccccbbbaccbcacccacccbbbcbcaaabcbccbbbaabababbaaaababbcabbcabcbbbbcccaaabaabcccbbcbbaccccbcbbccccbbccaccacbabcacbbbbabaccbccbcbccbaacababcbbabccbbacaabaacaaaccabbbacbbcbbcababcaacccbbbabcacbbaaabacaaabaaaabbccabbaaccbbcccabbabcacccbbabcbcaabcbcacbaabacacabbaacbbaabbbacbcbccaacbacbabccacabaaabcbaabcababcabaccabbabbcbbacacaccabcbabbbaaaaccbcccabaacbcaccaccbacaaccccaaccbcbcccbaacccacbabaaccabaacccbccbcacaaabbaaacaccbcaacbccbbccbbbbaaaacabbbcbabaaaabbbcbcccaabcabbabaabcbaabbaabbbaaccbaaababaccabbabbbacacccbacaaabbcbcabacbaccccaabccacccacccccabaacaabababbacbbbcccacbbabaabacaacaccbbaabcaaaccbcbacabbcbcaabbacbcbcbacaccabcabcbabacbcbaaccbccbcbaaccbbabcacaabcacbbaabbcbccbaaaabcccbcccaaccbacbcaabbbccbcaabacbbacaaacaccbcaaccabbacacabbbbacbbaabcaabbcbbcccaabacbabbcaaaacbcabccaaccbcbccbcabacccaccbcabbbbaaacbbabbabcacabbcbcbabbacabcabbbcabccaaaacacbaccababacbcccaccabcbabacaacabbcabbcbcbccccccabaaccabcbbaabcbcacbaacbcccccbccccabcacabcaacccbbaaaacaacabbccaccbbbabcbbacbaaacaaaabcabcbaccaabcababbbccccbbabaabbccbaabcbbbacbabbabbcacbbcacbbccbccaabcbcacbabcbaabcbaaabccaccbabaabccbbbcacbccabacababcaabbbcbcbbbaccbcbbccabbaabacabbbccccbcacbacbccbacabbcabaccccacabbaabcaaabbaccaabaccbcacaacbbabbcabcbcacbabacaacbbcaaabbcccbaabbcabacccbabaccbbbabbbaaaacccaaabcabcabbbbcbbbcacbbaacbbbacbbccacacbccbaacccaabccaaccaaabaabcabaacbbcbbcbcbaccbaabccbbbabaacaaabcaacabcbaabbcbbcbcbbaccccccacbccaabbbababacacaacbaaacbbaababbabbaacbbbacacabbcccbbbcabbabbabcabccacbaabbbaccacacbbaaacccbbcbcacaacbcabccbcbbccabaabbccccbaccbacababbbaacbcaabbababacbabcbbacacacccaccabcbabbcbcaababbabacbcbcabbbcaabaabbbcabccbabaccbaaabbcabaacbcacbcccaabacbaacbacaacbcacababbacacbacccabbaccaacaaaababbbbbaabccbabbcaacabcbbabababaaabcabbbcbcccaccbbcbcaccbbaaacbbcabbabbaaabbcccacbcbbbbacbcabbaccabbcbccaaacabbcaccccbccacabcaaaaccbaacacbacbcbcbbbbbbaaabbbbcaccccbbbbbacacabbbaccbcabcaabbccabcabccaaabbcbbbcabbbacbbbcaccacbbbcbbaabaacbaacaaaacbaccbbaaccbacacbbbaabbacabbcccaccbbbbaccabbabcaabbaccaabaaccccbbcbbaabaacbbcbaaaacccaaaacbccaacacbcaabcbaccbbcbcbbbbcbacccbaaabaabcbcabbbaccabbbacacaabaccababcabacbbaaababbbbbccabcacccbbaccbbbacccbcabcbaabcabcaabbcbaacbacabaababcbbbabbccbacaaacaacabaaabaacbccbcccbaccacbaababbbaacaababcbbacbacabcbbabbcbabbcabcabbbbbabcbcbbacaabbcacbbcacacacacacaabcbcaabacaccbaaaabcbcbbccaababbcaaaacaacabcccabbcabaaaabbcbbabcbcbccaacabbabccabacaabbbaababccaabaaaccccbaccaccbccabacbabccbababbcaabccaacbcabcbaacabbbbbbcacccaabccbbababaabbcbbaacbabccabcabbccbcbabcacbccbbaaccabbbbaccaabbbccabbbccabcbccbaaaabbaacacbabacaaacacbcbabaaaccaaaabccbaaccbbcacbacabbccbbcbbbbbcaacacccaaccccbbccacccaabcbabbbacaaccaccacacabaacaabbcbbbbababaababbaabababcbcbaabaacabaaababaaacbbababacabacbcbacaaacbabcbacacababcccccaaacacabaaaaccaabacabacaababbabbbcacbcabbbacaaabcbaabccabbaabcbbabbaccbbaacaabbbabbccbcbbabcbabbcaaabcabbcbbcbaacbcacaacbbabbbcacccaabcbaacaababcaabccacabbbaccbcbcacbbcbacbbbabccbbbbbabaaaabccaabbbbcbcacaacbbaaccaccbbaabbbababbbacbabcaaaaccaaccaabaaaabccaabaaaccbacbaabbcbabbcbabbccabcbbacacbabbaaabbabacabbaabbcbbbcaaaccbbbbacbcaabacbabbccbaaacaaaccbcaaababacbbaabcbaacccbabccbbbacaaaababccbccabacbbbacbccaaacacbababcaccccccacaabbacacbbcaabbcbbbcbaccababaaabcbbaccbccbabaabccacccabcbbccbacababcabababcbcbabcacaacbabbccaacbbaaacacacbcabbbaacabccbbbccabaaacabcbccacccabaccccbaacbcccaabaabaacacacbabbaabcbbaaabacccbbcbccbcaccacaacbbabacbbabbaacbcbbababcbbbaabccbbcacccbabacaabcacbbaabbabbbcbcccbabaacaababbaacbcbcbcbbccbabcbbbccabaabcbaacabbbbaaacbacbccaabcbbabaabbbcbccbabacbbbbbbbabaccbbccacaabcbbcabaccbabbbcccbabbcbcbcabbccccabcaabcbbabcccccccacabcaccaaaabcaabbcacacaacaaacbccbbababaacaccccaaabcabaaccccbccaaccacaabaaabbabbcccccaabaaacbccbccaacacaacbacbcccabaccbcbcabccccaccaabaccacbabcbabbabccbcaacabbaccabccbbabbaacbacaccbbaaacbcaccbacabbaacccbcabbaabaacacaccbaabbbcbbaaabccaacaacbbbaccbcaabccbabbcacabcccbabbabaccaccbccccabbbcacbcbbabcbcabcbcbbbabccabbabccccababbaaacccccbbbaabcbaaaccabacbcabcbbcacbcbacbabcbaaacaccbcaabacbbbbacbcccaababcbaabacbaacccbaaacaacaacccabcccacaabcaccbacbccbabbbacbbcababcacaaaaccbbaccbaaacbbacbabcccbaabcabaabbacbbbacbbaaaabcacbbaaaaabccacbbbccccbbbbaaacbacbbcccbbccbccaccbbbccbcbbccbaabbccaaabbcacbabaccbababcaabbaaacccacbbcbcabbabcccabaccabbbaacbcabcccbcacabbbbaaacccabbccbccbaccbaabacacbccbcacccbacacbcaccbccbbcccccabaccacaacccbbccacacbacaaacccbccaaabbcbacbcababbbcbbcacabbabbbabbbcbbcbcabaccccaaaacabcbababacaacbaccbcaaabbcacacccabaacbbbccaaabaacaacababccacbcacacbaabbbcbcbababbbabaccaaaaabcccbcbcacaccbaacbacbcaaaaaabbcbcbaccaaccbbcacaccaacabaaaccbbbbccaacbcbcaababccabacbbbbabcbbcccacacbabaacaacbbccbbcaccccaaabbbbacbbcccacccbabcbbbcacccabbbacaabbabbbccacacabcbcbbacbacbcacaabbccbbcabacccaaccbccabaaabcabaacaccbcbbcabccbbaabaacabcaacbccabccacaabcbaabacbabbcccbcaaacababaabcbaabbccbbcbcbbcaacbabcacbacccaccbaccbaaccacacbbbacbccacbbcabcbccababbabcbababaccbbcacabaabcbacbaaaaccaabbbcababacacacaccbaccabacbcaacbababcabbcacbcacbbbabababaacbabbcccabbbbbbaccbcbcabbabbabcaabaaccbbcbaaabacbaaaacbcccabacccbabbcaabbcbbccccacbccaaaabbabcaabcbbbbabacccbacabacbabaacabbbbcccaaacaacaccabbabaacbcbcbbacccccbbaacbccbacccbcaabacccababccccbbcbcbbcabacacacaccbabbcbaccbccbacaabacacacbbbabaaabbacaacaababbcacabcbccccbaaaaccbaabbccbbbabbbacacacaabbabaaacccacbbacbccbabbccaaaaaccacacbbaccbcacabbccacaabbbaccabcbaaacbbcccbacacbabaabbababcbccbcaacbcacacbaabaaabcaaaacabbacbcabbbbbcabcacbccbabaccbccaaaccbaabaaccaabccbacabccaacabcbbaabcacbabccbccbcabcabacabaacbabacccccababacacccaccaaabababbacabccccabcaabaaaaaacbaacbacaacaccacccbbcbcacbcccbbccbabbbacbbbbbcaabbbcbbcaacabbabccbcbcabbaaaaaaaacccacbaaaaacacabacbaaabbbaacccbaacbacbcaccbbaaacaccaacabbbbcccaabaabaababccbbcbaaccaaacabbcabbbbbcbcbaaaabbcbaccbacacabbaccbbbccabbaacaaacbcbcccabbbccabcaabaaccbbbccccbabbaaaccbccacbbcaaacbbbabcaacaccbaccbccbbabbcccbcbcacabaaacacabcaaacbbacaabacaaccbacbbccbbbaccacbccbaabbcaaccccccabcacaaacacaaabcacaabaccacbaaccabbaaaabcbccbcabbaaccbbcaaccccabacaacaacacbacbaaabcaaaacabbabccbacaabcbbcccbaacbbcbbcbbaabaaabacbabccaaaacbbcacccaacababaccbaaabbccbbbccaaacccabcbcbcbabcaaabbababbcbacccaaacaabcbaaaaccccbaacabacbabcabaabaccbcbcbcccaababaabbcbbccbcbccaabcbbcabcccbababcbccabbbbbbbcaaaccccababbcaaabbcabbcccbaaccbabaccbcaabcacabcabcbcbaabccaabcacccbbaaacbcabcbcabcacaaabcaccaabccaaccbbbaccaabccbbaccaaabcccbbcaabbbbccabccababcaccbaabccbacaacbcabbabcaaacbbbbcaaccbbabcbaacaabbcbabcbcacaaaccbcbcbbcbabacccbccbbccccbbaccabcbaacbcbaacbccbcaccbbaabacaacabacacbaabcbbbaaababccbccbbcbabababcbcccbccbbccbccbccabccacbcaacbbaccbbbbcccaacccbbabcccbbbbcbbcbacbbbaacbcbacbaacabacacbbbbaacaccbaaaccabcacbcbaaacaabccccbaccaababbccccbcbcabbccaababacacacbbbbabbbbcaacabaccacbbacaccbcbbcabbcbbcbbaaccacbabbcaaaaccbbcbcacbcbacbbbccccbcbbbababbbabcacabaccccbbabaababacccbbcbcbbbccacbacbaaabcacababcabbbcbbbaaacccccacbccabaacbaaccabccaaaabbbaacaaccabbcccbaccaababbbbabacaaaaacccaabaccacccbcbcaababbbbccccbbcbcbcaabbabbbabbcabbbbcaacbcbbcacccaabbcabacccbcbcbbbacabbbcabccbcccaccccabccbabcacabaccbccbccbaacbababcabcbcabbcabaaaaaccbccabcabaaaaacbbbabacabbccbbcbabbcbcaacaabbbbbcbbaccbbcbbbbccabbcbccbababbcbcbbabacababcbcbcbccbcccabccabbcbabcccabbacbcaacccbbbbaacbaccbcccacccbbabcccabccbababaaacbcaaccaccacbcbccbbcbcaccabbacabccaccbbaacbaabbbcbcbacbcbcbcbcbcbababbccccbabcaacccababbabccbababcbcccbabcabbacaabcbcbbcacbabcbbcbbacabbabcacbcccbaabbbaccbcbacabccaaacbbabcacbbaccbaabbacabcbcacabcabbbbabbcbacbaaabbbccaacacbcacbbbaaaacaacccbbacacacbbaaaccbaccbabaaaaacccacaaaabbccbcacacaccccbcbccbbaacbbcbaaccaaaaaabbcbaacaccbbacbbbcbcaabccbabccbbbababcbaaaaabcbbacbccccbbbacbccaaaacacaacacaacbbaaabbbacbcacbbcbabacacbaacbbcacbabbbabacaabaaabaccccaacccbabbccccacaaabcbbabcccacbcaacbaabbbcccbbcbbccaaabbbcabbcccaacacabbacbbbcbbbbcaaaacbcbbacabcacbabbaabccaccbccabaabbcbbaabcacbacbabcbaacbbccbaacacbcabccaaabcbbcbccbbcaccbaaabcabbbaccbbaabcabbcbabbcabacbbbcabcababaabacbaacbbabaaaaacabbcacacccaabbcaababaccaabcbacccbcacaccaacccaabbbbbcbcbccbbbbaaccabacbacacbbacaaabcbbacacbcbcabcbaacbacacbacacabcacbbaacbaaacacbaabacbacbabbcabbbacaabbaacbbaccbbcbcbccacccacacbacaabcaaababaacacbabccbbbbbcacaabcabaccaaccbccaabacabcaaccbccbacabbaabaacbbcccbaccbcccbabaacbaccbaccabaaacabcbbaaaababbbbccbaabacccacababcacbbabcbbaccababacbcccbacccbcbabcabccbacbcbabcabbaaabcbcccbbacaaacacbbabbcbbacbbcccabccacbaabbacbcaaaabbbbcaaabacbcbbbacaabaacbabbbbaacbcbacaabbababaccbccbbbcaabcabbabbbbbcaabcacbacacabacbbacbccbabbccbaaabbcacaccbcabbcbaaacccbbcabcbbbccbbbcbbbcbaabccbccbbaccbccaaacaccacaaabcaaabababbccaaaccaaaaaabaacbbaabbbbbabcabababcaabccaccacccccbaccbbbaccbbbbacccacacbbacabccaaacaaccacacbbaabbcbccacbbbcbcabaccccbbbcaabacbbaaabccbcbabbbccaccbacabcabbbcaaaaccbbaaaaacabaacabccabbcbaaccbcbcbcaabbcaccabbcaaabaaccbbbabcbbacccccbabaaacaaccacbacbcacbcccbcaaabbbccbcccccaacabacbaacabcbbaabbbbccbbbbacbaacccbaaaacbbacbcbcbaacbbcbcabbacababbaaaaccbcabbaacaaccabbccabccccaaccabbaaaaaccccacbacbabcacacbacbcabbbcbbbaacbaaacbbbbcaccaabaabaabccacacaaaabcccbaabbccccaacaccacbcacbcabcabbbcbaaabcabbbbabcbaaabcccaccaacacccaaabaaacccccaccbccacbccbcaacaacbabacacbcccccabbbcbcbabcbbaacbaacccbbccabaaacbbaccbacabcccccbbcbbcccccbbbbbaaaacbacaccbbbbbabaacabcbaaaabbabacbbbbcbbccaccacacccbacabbaaabccbcacacbcbcbcbaabcbaccbbacabccaaaabcbccbbabaabcbbacbabbcbbbabccacccccccaaacbbabccccbbcbbcbcaaccbbabbaaabacacbcccababacbbbaabaacacbcbaccbbbbcbbaabaacabaaccbaabcbcacabbaaaacabbabbcacabbabbbbbcbabcbaabbbaccbcaaabaababbabccccbbbaaccabbabacacbbcbcbbcaabbacbaacabcbbbbbbbaaabccacacabbcbbbaacbbabbaababacacbaaababcbcabcbcccccacabcbbbabbaaacabacbbcaabcabbcaccaacbbbcbcaccbacbcbccbbcbabcaccaabaaaaccabbbabbccbbaaaccabbcbcbabbabcaaabbcabaabcbcaccbacbccbccacbacbcbaabcbbaccbbbcbcbcbcabcbbcbbababacababaccbccbccbcacbbacbbcabccbcababcccbbababacccccbaabbbaaccbaacacbcbcacbcbcabbcacbaacbbaabbccabaabaaccbcccbbbbacbbccacbaacacbcbcccbabbacbccbabaaababbacbacbabbccababaaaaaabababbcaaccbbcbabaaacbaaacbcbaaacbcbbcaaaccababacbcbaaacbccaacbaccbaacabaabbaabaacbabcbbcaccacbbcaabaccbabaababababaabcbbbcbcbaabaabbcacabaaccbbacabacbabbcbcacaaabaaaacaaabcbaaabbccabcbbcacccbbccaabcbcbbcbacbbcbcaacacbbaccbbbbbaaabaacabbaaacbacbcacbccbcaabbacbabccbbcbccbcabbbbaabbacbaabcaaaabbcbbabcccccacacaabccccbbacbbbacacaacbaccbbcaacaacaababaccbbaaacabcaabaccaacbbbcbacbbcabcbcbbabbaacaaccccbabacccbcacabacccbccbacbaaabbaccaabacaccccccabcabcccbbbcabccaaccbaabcbcbcbaacabccabbbaaabaaaabacacaacccccccabccaabccaaacabababacaccccababcccbacbbcbbacbbacbccbbabccbbaababbabacbcbaaabcbcbcccaaaaabbbcbcbabccbbbbccccaccbaacbcabcbcaaacaccccbababbcabcacacabcccabbbaacbbccaccbbcbcbcbbabcacabbcbcbabbaaaabbaacbcbbcbcaaabbbbaaacbbbccbaacbcccccabccbbaabcbaabbcaacccacccbcbcaabbaabbabccaacbaccaacbcabbbccaaaccccabacabaaaababbaaaccacbbbcaabcbbaabbbbcabcccbcccabccacbabccabcaccaaabbcacbcbcccbababbcccccbbcabcabaccacbaaabbbaaccacccccacacaccbcbbacbcbbcbbcbabcacbcbcabbcaabcacbabbabbcccccbbcacbcacccaacbaccabcbabcccbcbccaabccaabbcaaaccacabbcccbcaaccbaabacbbcacbaacbaacabbccbcababacabbaaaaccbcabaaabbaabccbcaccabaaabacbbaaaccbbacbbacbababbccbcccaabbbbcccbabcbbacbacbbabbcacaccabbacbbacbacbabbcaacccbbabcaacaccacbbbbcbbaccccbbcbbcacaababaaabacaacbabcabbaaaacccaaacaaccbaabcaabbaaaabbbccbcacaaabcbbbacbaaaabbbbbbcaabcacbaababbcccccbbabaaabaababbcaacabcbcbbcaacabcbaacbabaccabbabbaabacccbbcbabcbaaacbccbaaacccacbbbbcaccacbbcccbabcaabccccacaccaaacaababcbbabbcccbabcabacbabbbaaacbbbabbaacaabbccbcccabbbcbaccbcbbabbaaccabccaabcbbbabccbcccbbaababaacacbcaabcaacbabcbcaaaaaaabcaaabacaccabbbbbaccbbcacbacbaaabccccbabcbaaccaacbccbaacbcacbcbcbbaccacbbacabbbabcababcaaaaaabcabacbcaaaacabcabccccbccaababcbaabacacabbaccbabacbacabacabbacbcababcbaabaaccbcaaaacbacaaaaacbbbcaabcbabaccbaccaacbbccaccaacbbcbcaacbbaababbbacbaaaacabcbaccbaaccacbbbaacaaacaabbaccaaacaaaababbbcbacaaccaabcbacbacbccaaaabccccbcaabcbbbbbcbabbaaacaccacbcbbcccaababbcccaccacbacbcacaacccbaccbcaabccacbcabaaaabbbbccacbbbcabacbabcbcaabcbcbaabbaabccbccaaabbaaacbaccccccaacbcaaccacbaaacbabbccbaacaccccaaababacaacacabbbbaccbccbbcbbbbaabaacbccabcabcbccabaccaacacacaccbbbaaaaaabbbababbaaabbcbabbabbaaabbbbcccaccacacbbacccbaabcabcccccaabbcccbbbbcaabbbbbbccbacbabacacbcbacabccbbaaabbbcccabbccbabaaccaacbabacccbbabaabaaccaaababaccbbaccaaaccbacbcbcabccacacabbaccaaccbccbacbaacbbcaabbcaabcacbcccabaaccccaccacbabacabbacabbacaccbabcccaaccbbacbbbacaaacbacbbbabcbaccabcbbcacaababcbabccaacacccbbcbabccbbaaabcbcbabccaaacccabbaacacbacbbbacbccaabcacbbccabbcabcbacbabaacaaababaacbbaaaacbacaacbcbbaccacaababaaaaaacbcacbcaaaaaabaababbbcccaaacbabbbaacbccaabaacbcbcaacaccaccaaabbabbcbacabccaccacccabacabbccbccaccbaaaaccacbabbbaabcabaabccaacbabacaaaacaaacaaacbcabacbbabbbbbbacbbaaabbaacaabcbbaccbacbbbbbcccaccaabcbcbacaabcbcacaaccbacccbababaaabbabbbabcacaaaabcabaabbccbbbaababccbcccacacaacbacccaaacbbaaaaccbccbbbcbaaababbbccabcccbbabccabccabcabaacbcabaaccbccaabcccbcabcbacaaacbcbbbabbbacbcbbabbcbacbbaccbabcccbaabcaabcbbacbabaacbbccbbccaccbcabccccacacaababaccacbcccbbabbbaccbcaaaabbbccbacbbcaaaaccabccbabcccbacaacbcccaccabbaaaaaacccabbcacaabbccaabbaaacbbccabcbcbacccaabbabcbbbcaccbbccaababccacaacaaacbbaacaccabccababaaabbabcbbacbaaaacbabcaaccacbaacabccbcaaaccbccaacbbbaccbbcbabcccccbbcaccacccbbcaacbbcaccaabbbccbcaacbabbbacacccccaabcacbabcaaabcccacccabcbccaabbaabaccbbaabccbccababaaaaababaababcbcccccaabccbbabaaccacacbcaabaacbacacbbabbbccbccbbcabbbcbbcbcacabaaababbbbabbbaaaabaaccbacbabaaccabcccaacccabbacacaaacaaaaaccbccacbaaabaacbcbbcaababcbbbbbbccccaabbbbacbacabcaaccacbabbbcabbccccbaaabcbaccbcbaaabacacbcbcaacabbbbbcacbcabcabccabaaaaabcbcbaabbaccbacccacbcccbcbbcaacbbbbcbabcbccbccccccbbccccabaccbaabcbcabbcabcbbabababbbbccacbaaacabbcaaaaaaacacccbacaabbcbbcbcaccbaacccbccabcabbbaccccbcbbacbcccbaacacaccaaacccbacabacacaabbcbbcaccbcbbccbbacacacbcbaccaaaabbbcbbaaabbbcaccbccbbacaabcaabaabaababcbaababaabaaababccaccbcbabbcbccbbbbbbbccaccbccabbcbccbcbaccbccaccababccbbaacacbcccacbccabbabbbbacbaccbabcaaabcaabbbcaaccabbabbcbbabbbcbccaabacbaacccbccbbcbcaabaacbcbaabbbacbbbccbaabcaacabaabcabaabaabcaccccbcbbbcccbabaccaaabacccaaccaacbcacbcaaaccacaaccabcbbaabcbbbbbcacbbbcbbababacbbabbcbaabbccbbbaacbbaaccabbacbaabacaaaccbbccbbabbbbcbbabcaaaaacacccbcccaabaccbccaacaaccbbbccbcbaabbbcccccbbbabbbbcabcaaaacbcbccaabbababaccaabbcbabaccbbbaabbbbcacbabbaccabbabcbbbccbccccbcbccabbbcaabcbacaacacccbbbabacaacaababbcabcaaccaacabcbcbccbbaaabcbabcaccbcbabbaabcbcbbacbaaccabbcaabcbcaaacbabbaabaacacababbccccacccbaacccccbcaaacbbbcbbbabacbbabbaaacbbbbaabbbcbbcaccaaaaacaabbaacaccabaaacbbcbcacbbaaccacbaaaabaaabbbabaccaaaacbacbbacbbcaacbbcbaabbcbcccbaaccccbcaacbcaccbcbcbccaccccbbcaacabbaabcaccabababbaccabacacabababccbcaaaaccacbbabbaacccbcbaabaaccaaabccbbccbabbcaaaaaacacbabaabbaccbbccbbaabacbbbcacbccabcccaabcacbccaaababaccbbbaacbbbbbbacbaccbbaaccbbaaacbbabaccabbbacabcabccbacbababbccbbbcbaabbcaacbaaccababbaacbaaabbbccbacbccbcabbbbbabccccacbcbbbbbaaabbcbacabbabcaacacabbbcabbbcbacbbbacbcbbcbabbacabccabbacaccbbcbccaacccacacabababbbbaaccbacabbccbbcbaacccbbbcbcbbcabbcaaabbcccabbbaabcbcbcbacbaaaccacaaccbabbabcabaacbacccccbcaacbcbbccbbccaacabcbaacaababcabacbbcabcaccaaacaacacccacbaaaacaacacabccacbababbcccbacabcacacacccbcbbcabcbcccbccccaaabcabbbaaacbbcbbbcacabcbcbbabbabccbbbacacaabbacbbabbccbaaacaabaaaacacbaabcaccccabbaabaacccaabbcbcaabbabababcbcbbcabbaaabbbcbabcccaabacccababbbabcacbcaacbaacaacccbcbcabcabaccaaacccaabbbccabccccccaabccabccccaabcacbbabcccaaaabaaacaccaccbbbcacbaabacccbabbcbacbbcacbbbbccbbaabbaacccbacaacbcbabacacaabccccbcccaaaabcbbcaaaaccaccbcbaacaaacabccbaabaacccccaacabcbccbbbbbcbcacacbbccacccbbcaaaaccaacbaacaacbcbcaacbbaccaabcbbcbaaacbcbcaaacaaabcabccbaccbcbbbacaaaaaababcbcbbbabbbcabcacbaabcbabaacccabbaabbbbaccabbcbbcbbabaaaccbbbcbbbcccbcababccbcaabcabaabacaacaaabcaaabbcbcbabcbbcaaccaacbccbacbbabbbcbbbacacbcacbabaaccbabccaabaccbbbaacbabbcbbbccabbccaabccabaacaacccbbacccbacbabababcbccaccaccbabacbababbabcaabaccacbaaccabbccbbcbcbbcbccaabbcbaaaacaaaccaccabcaabbcbacacccbbcacccbabbbabbbacbacaccbaaccbbbabcaccabcbcacacbcacaabbaccbbcaacbaabcbcaabbaabcbbbccacabaccccbcabbabbcabcabbcbabaacaaabcabbbabcbbbcacaccbcbccbcacabbcccccbbaababbcccbbcccbccaccbcacbaaccccaaacbbaccbcbaaaabcbbbacbbbcacbcccaaaaaaccaccccbaabcbcbcbcbaacbbaaccbccbaaabbcbabacaaaacbaccbbbcabccabbcacccccbabbacbabcbbcccaaccbccabccabaacbbbcabacbbcbcbabbbccacbcbbbabbaccbcaaccaaccccccbabaabccbccabbbbacbabbccabbbcaacccbaacacaaabcabcbaabbbcaacbbcccabaaabcbcbcbabaaaabbcbcacaabaaabbbbaababbaabbcaaabcccbbbbaaacacabcbccaaacbbcccacccabcbccacbacbbacccaacbacabacabcccaabbbccacccbbbbbccabbbaaabccaccabbcccccabacaaacaaaacaccbaccbcccbcbcaacaccabcccacccacbcbbbacbbaaacaaaccccbbaaacacabcaabbcbcbacbbaabccbcbaccacbcaaabbcbacbbaacabcbaabbcaaccbacbcaccbccaaacabcbbbaabbbacaabcbbbbbaaacbaccbbabaaabcbcbbbbaabccacbaccbbcacccabcbccbcacbbcbacbcbbcabbbcacbbaaaacacaabababcbbbaccbcbbaaabacacaabacabbbbbcabcabccaccabcaaaaaaacaacbbccccaabbaabcbbcbbbcabbcccaaabcbcbacbcbaaacacccbccbbcaaabccbbabbbcaaacbcacccaaccabbbbabcbccbbcbcbccbaaaaababcbbcaaccbaccbacbcbccabaacabbcccccabccaaccbbcabbcbbacbcaacbccbcabbcabbabbcabaacbccabbaabcccbabbababaabacabbaaacbaabbbaacbbacbcabbbcaacbcaaaaaccaabccccbcccbabaabbabaaabccaaabbbaacbcccacacccbccbcbcccbaabaaacccabbabacbcbbbbbcacabcbcccabbbaccbcaaccacbbbacaaaaaabaabbbccbbacbcacccacaaacbcbcababcbbacaaaaabbbcabcaacabccbababbcbbcabacbbbccabaabcccbbacababccabbbbacbcbbcacbbaccaabbacacbcaacccbcbcabbaaabaabccccaccaabbaabbbccaabcaabbacaccbaabbabcbacabccbbccbcbaaaccaaaccbccccbccbcbbbbcacbaccbbaabbcbaccabbacbabacababbcbabbacccacbccaccbcacacbbbcababbaaaabbabbbcacacccabbaaaaabbcbbcbbccbaabbaccaccacccbaacaccaacbcbacbbaabacbcbacaccaacabacbacccccccbbabaaabccccacbbaaccbcacabbaccacaacbcacbbaaccababbaccbbaaccaaaacbacccaccbbacbbacbbbbabbcbcacbaabbcbccbacbacabbccbccacbbccabbaacabaaacbcbaabaaacbbcbabaaabcacccacbbbcacacbccccccaaaccacaacbbcaacbbcbcacbbcbcaaacacacabbccbbaabccaabbcacabbcbcbabaacbccaaccccccbacbbbaccaacaabaccbccbacbbaabcaaaaccbabcbcbcccabcbcabcaacabbbcbaaaacacccacacbabccbccaaaaccbbbbcbccbccbbbbbbcabcacabccbbbabbaacabbcbcbabbbabbccccbbccbabbabbacbacccacbbacbbbaacabcaacccabaaacccbbbccccbaccabbbcacbbccaababccbcbababccbacaababbcabbccbaaccbcacaabcbccccbcbbaaaccacccaabbbbabbbaaccbbcababaababbbcabbacacaabbccacaaccaaccaccbcacbccbaaababbabcbbccbcbacbccccaacabccbbbaaabccaccbaacaacabccaccbcaaabbcbbcacccccabcbcacbcbaaabcbcbbabbcaacacaabbaacbbccaaaacaaaaabacaabcaacccbbabbbaaabacbabcacaaccbbbcaaabbcbbabbcacbaccacaabcaabcaaccaaabcacbbbbabaabcaaaacacccaacccbccccbcbbaabccbabaabcabacabacbbcccacbcccabbacbbcbbacbbcbacabcbacbcbbabbbbbccbcccbbbabcbcbacabcaabcbabaacbbabababbcaccabcbaaacacbcaaabacaccabaaaaacacabaababbabbbabaaabccaccaabbbcbaabbcaaababcabccaabacbbccacbbabbccbbbbabcbcaaabbabacbcaacbbbbbabcaaacccacccaababaabcbaacbbccbbacbcbbcbbbccccbccbcbaabccccacbbaabcacccbcbabcaaabaaabbcacbababaabbacabcaccbcababccccaacabccbbaabaaaccbaabaaaabbcbcbacbcbbcbabcbcabbabacaccbabbaabaacabaacaacaacaccccacaabbcacbbccbbbccababcbcaababccaccbbcbbabbcaacaabacccbccbbcabbcccabcbacbbbcbaacacaaaaabaababcbacacabacacacbcacabccbcbbacacbabaccbbcbbcccaaababbacbcaacaacccbacbaccaccabccacbacaaaacabaacabcbbcbbbbbccabbaabbbbbcabbbccbaaaacbcbbaacbabccaabaccaabbbaabaacacbbcaccbcacbccbcbaabaaccbaabccaccacaacbaccbaacabccbcccaacabbbcacccaccccacbcbccaabacababcbbccaaacbcacabbbcaccaabbcacccbaacbbbbbbcbbcacbcabaabbabccbbbbbabbabccabbbbbbbcabbabcabaabcaacbacacccacbccbaababcabbbacabaabcaabcccbacaaaabbaaabaacbcccacbaaacbccacabcbcbcbcbbaccacaccaaaccbbaacaabbacaacbbcabbcbacaabccacaaabccacbcbbcbcbacbaccbacbcbbccacbabaaacbcbacccbcacaaaaacbbabcabbbccacccbcaacbaacaaccbcabaccabcababcacbbcccbbbbaaacabacbaccbbccbcaacaabccbcaaacaacacbcbbcbcacccccacccaaccaaacacbcaacbaabcaaabaababaccccacaccccacaacbaaacbcabbbbcbbbbbbccbcacbbacabccbbabcccccbbcbbbcabbabababccacabcbbccacaabccbcabcaacabbbabbbaacbbcaaacbccccaaacbabcabbacabbaacbaabbccaaaabbbaabaaacbcbcabaabccccbacbcccbcccaaacccaccaacbabaaaacaccbacaccbaaabaabbbbbccaccabcbbbbbcbcbbcbbcbbcbacacaacaacbabccaabbaaabbcabbabbcbaccacbcaacbaccabbcbcaacbbacabccaabaccbacbacabcabcbcaaabbabaaacacccaabacbbaabaccbbaccabaacbaacbccaaabacbbcbbcaacbbbacacbbaaacbbbaaaaacccbabcccbcbcccccacccbbccbcbbbcacababaccbccbbabcacacbcaaaaaabbbcbcbaaababbacbabcccacccbbabcbcbccbcacabbacbcaabcbbccaacbcbbbbaaccabbaacabccccacaabaaaacbbccbccbbaababccacbcbcbacabbbaabbbbcbcababcbcabccbcaaabacbaccbbcbcbcacabaacacbaabbacaabbbbcbababcbccaaababcbbbabccacabcccacccbcaaabbcaaabcabacabcaaaaaaccbacabccabbcacacbaccaaacaaaaaccbccbbcbaabbbbaaccbbabacabcbbbababbcacaababcbcbcbbbccabbcbbbccbcacbaacccbabbaccabaccaaccbacbcbbccaacbabbcbbbaacaaaaacabbaccacabccaaacbabbcbbbaccccaacbbaacacbcacaabcbcaabacbcaaaaababababbaacaccbbcaaabcbcabbcbccabacacbbbaacaaabccaaabbabcacabacaaccaaaacacbcccbbcabaaccaaaccaaaaacbaccababaaaaaaabcacaabcabbccbccbaabacbbcbbccaabcabbcbcaabacaaabcbacbcabcaabcccaaacbacacbccacbacabccaacacbcaaacbcbabaacbcbbcbaccbabbcacacbcccbacaabaacabbccccbccccbaacbaaaaaaccbacbcaaaacbabcbcbcaccbabcbacbacaacaabcabcabacaabacbcbcccbcccbcbbbabcbacacabcccbacacccbcccbacbbbaabbbbbacaccbbaccbacccaccacaaabcbcaccbcbacabccccbcccbbaacbbbbababaccbbbccbbccccccababbababacabcbcaaabbbacbcbbccaccbbbacccacabacabcbbbbcbbaabaccaaccbacbaabbaccbccbcaacaacaaabcbaacaccacbababbccbbbacabcaacaabacbacbaabbabaaacaacaaaaacaabaaacacbabbccbbbaaccaccacaacaaabbaabccaaacabbabcbbcaaaabaacbaaccaccababbbaacbcaacccacccbbaabcbacaaababcbcbbbacbababbbaccbacbcccccbaacbaaabbabccaacaaaccbbbccaaaabcbbcccacbbbcbcabcbccbbaccbaababbbbbbcbbacabcaabbbbbaaacbbabcbaacccbbbcccaccaaccbcbaccbbaabaccabbbaaaaacbbbabcaaaccaaaccaacbacbacaaccacbbaacabacccaaccabacabacccbbaabcabcacacbbaccacccbcbbaabbbacbcaacbcbbccccaabbbababccababbcbbbcacbaaacabcccccccbcbababbccbbcbbccabbcaabacccabcaacbcccacbacabaaaabcbabacbacaccabacbaabaccbbcaabacbaaaaacbababbabbcbcccbbccbcbccacacaccaaaaccacaccabccbcacbcccaccbbbcaabcabcabbbaacbcbaabcabbbbaaabacacababacacbaaabacccabbcccbaccccbbacbaaabcaabbcbacaabaabacacbbaacaacccababcabcacbacacacbcbabccbcccbabccbaacbaccaaacccbaabcbacabacbbacacbccccacbccacccccabbccaabacacbabbbccbbabccbcbcacaabcabbbcacbccacbaaccabcaacaaabbbaabacbcccbcabacabcabaabaccaabcabbbabcabccbacacccbbccaaaccccacabccabacbcabbacacbcacbcbacaccccbacbcbabbcbbaaccccbcaacbccacbbbaccabcbbabcaacbccbbcabbacacaccaacbcbbabcbabcaacacaaaacaabcabccacabbbcccbccaacbacaacbaaccbcaaaaacccbccbccbbbcccbaccbbbbabababcbcbcacbcbbcabbbcbaccabaabbaccbbababcbacaaccabccbacccaaccababbbabbbcacaaababbabcaacacbbbcaabacacbacbaabbbaabacacccaacaababccbbaaabcbaabaacabcbcacbacabacbcbbabbaacbbbbaacbcaacbbccaccbcbcbacacacacbbbcabaccabccabbbcaacaababbbaccaaccabcbaccabbabbbbbaccbaaaacbbcabacabcbaabbbacaccbabaabcabacccaabbbbcbccabaabccaacccacabbabcabaccccaaccabacaacbcbbbabcbabcbccaaabacbcccaaccccacbbcabbabcabcabbcbaccbcaabccacacccabcbabbabcbbcbaaabbcaabcabcbababacbcacbcacbcbaaacbbaaccacacbbbbaaaabaaacaccbabaabbccaacaacacbcaaaabacbbacaacaaaaccbacccababacbbaabccabcbaccaabbacbacabcbcaaabcbacbccacbbaabcacacbcbaacbbacbabaababaaabbaacbabbccbaabaacacbbcbbcacbacaacabcacbaabcbbabbbacababcaccacacbbaabcccbbcababbcbacbbacbbbbbbcbcbabbcbacaccaabbbbaaacaaabacabbbbcbaaaabcacaabbcabbaabaaacbbcccccbccacbaacbcaccabbaacaaabcabaccbaababcbbbccbbcbacaccccaaacabccbaccbcbcbbacbbacaccaabbabaababbbaaaaaacaaabccaabbacaaaacccbcbbaccccbacbbbbcbcccaabacbbabbbcabbaaabbbccbacabcabacbcbcabaabbbcccabccacccacacacaacbabccaccbbbabcabbbcbbcabababcccbabacbaacbaacbaccbccbaaabacccbbcaaacabacbababcccabbbcccbbccbcbbaacccacbccbbabcccbaababcbccbbabbcaccacacaaaacbabacacababbccacbabccaacbcbaaaccbcbcaccbccbbcabcbccabccaacccabcaacbbbbcbbccccbcaccabbacacccbbcaacbccacbcabbbabaacbcaaaccbaabbcbacbaabccccacbbbcacaccbabcccbaacccabacccabccbbccabaabcababbabababbcbacaabbbcccbcbbcababbacccabaabaaccaacbcbbaccbaabababacbccacacabbcbccbaabbcbbccbbabbbabbcabbcacbccccabcbbcbcbbbabbcbabcabbaabacabaabbbaccbbacbbcaabbcaacbacccbbccacacbaabbacabcccababaaccbbabbaacbabbabbabcaacacacccccaabbbbcaaaabbacabbcbacbcacbababcbccbcbbbcbcacabcaccacaacabcccaabccabbaabaaaaabcababbcaaccbaacbbbcbabbbbcbbcaacabcbacbabbabcbabbaaaccacbaabcacacaaabacaacbbcccbcaaabbbcacacbacbaababccbbacacacbabccabcabbabbcbcabbaccabaacabbacbabccabbaaaacbccabcacccabbbbcbbbbccbbabcbacaaabbabbbcccacbacbccbabbcacaabcccbabbabcacabbacbbccabbbcaabaaaabbabacbbbbbcaacbabcaccccbccaabbcaccbcbbbaccbaabcacbbbaacaaaacbcbbbaaaaacccccbbbcbccbcababcbbaabbbcacacaccabbccbcaaaababcaaabcacacacaacbabcaabbaccccbbacaaccbcbbccbcabccaabccaaaaaacabbcaccbcccbbbbcaaccccabcbcabacaacbbbcaaabaaabaaaaacabacababbacaabcababacbabcaabbaacacacabbaaaaaaaabcbcbbbbacccbccbaaaabccbaccccbcbaabcbcaaccaabbcbbbbabbaabaaccabaacacbbbababbcbaaaacbabbbabcacabbcaacbbbaacaacacbaccaccbcbbcbcbcaaaacacbcccbcbbabbccbccaaaaabbbbacccababbcbaaacaaaaabacbbbcabaababccaaaaabacacbacaabbaacbcbaccbcbccbabcbbbbbbcbcbaccabbcabaabaababbcbaacbbabaabacbbbbcccaaccbbcabbcaccaacbbbbbcaaabbbaaccaaaaababbbccbbaacbabcbcbcbcaacaccacacbacccbbcbbccbcccaaacaaaccabccbcbbcbbcccabaccbccabbbcacccbbabbcbacbcbacababccaacbccbacccbbaccacaabbaaaaaaaacabccbbbabbcccacbcaccbcaaacacbabbbacacaaccaaacccaacbcaacccabbccbccbcbabccaacccbcbaaacbaaccbbacbcabcccacbbacaaccbbcacbaacbccbcbbccaacccaaccacbbbabaacbcacaabbbbacbabcaccbbcbcaaaccacbacbcccbcbcababcbaacabbbccbbabaccaabbcaccbcabacaaabbbccbabcbbaacaaacbabbabcacaaccaacaaaaccbabaabbcbbbcabbbbbbabcccbcbccaacbcccbcbbbcacaabacbaabccacacaccbaacacabaccbabaccacabbabaccaccacbcabbbabcacaaaacaacabcababcacaccaccbbbcbbbbaccbcaabcbbcbabacbbcacbcabcaabacbbccbbaaaacabaaaabbaaabccccaacababcaabbbacbabbbacbccaacccabbbbbacbaababbbaaacacbcabbacbccaababacbaaacbabaacbaacabaaacbbcbcaabcbbaccbcaabcbbaababccbaaaaabcbbacaccbbcbbaccbacababacacacabcbcacccbabaacacaaccacabbbbacbcabbbaacacbcbaabaccbcccbabccbccbbcaaacbabaccbacbabbacababbcabaaaacabcbcbbbabccbcacccbcacbcbbaabbbbbbabcaabccbbbbcbccaababcbbcaccbabbcacacacaabccbcbacaccbcabcabacaabcabaaabaccacaaaaccababbbcbacbabbabbaabcabccbbbaaababcbbbaccabbcaabbabccbabbacccbccbaccbaacaccabccaacbbcbaaccacaacbbbcbabbbbcbaacbbcaccbcaababbccacbbaababccccbbabbcbacccabbbababaaacbbcaaacabbaccbbcaaabbababbccaabbcbabcbccbabbbccbcbaababaaccacbcccbcababbccacaaacaaacbabccaabbcacabacacaaaccbbabbcabbbaacbaacaacbacbbccaccccbabcbacccccbccbbcbaaacaacaabccbbbbccbacbbbcbbcbcaaccacbcaccaaaccccbacccccaacccabbcbcabaacabcabbabccccabaaacbacaaccbbcacbbaacbbaabbccbbccabccbaaaccacbaabcccacbacbaacbbaccbcbbacccccbcabcacaaacccbbcbbacbacaaacaaaccbbbabaccaaacbacbacaaaacbbbbcaccabbbbbbccacbaabcbaaacaabacaaaccabbcbaabaabbcbaccbccaaaccbabbcbcaacbaababacacbabaccccaabbaacbabacacaccbaacabaabccbbabcbbbbcbaaccaaabaacbacbcccaaccacbbababcaaccbbccaacabcbaacccbcbbabcbbacbcabccbacbbcccacaaabcabbcbccbbacbacbcaacccbabaabbaabacbaacaccbaabcbabbabaacabbaaabccccaabccaaabbcbcbbbabccbacacccacaccaabaabbcccbacabccccabccaaacaaaaabaabaccbbbabcbbaccaaaabcbccbbccccacbaacbcbbcbbaacaacbccbaccabacbbbcbaccaaaabaabcaacbababcabbbccbbcbacacbcbcabbccaccaabaccbbcaabbcbcabbaacacbcaabcbcaabcaccbacabaccacaacbacabaabccbaacaccbaccaabbacbcacbcccbbbbaacbbabcaacbaccabbaacaaccbbabbbbaabcaacabccababababaaaaabccbbaabbbabbabbbaabcbababacaaacacbabcabbcacaccacbcbabcacabbccacbcccbcbbbcacbaaccabbbbcaaaaacacabaabccabcaabcbbbcacbbacaaaaabbacaccaacccbabcbbbbcbacabbbbbcaaabacbbbbbccacacbcacacccccaccbbbcbacaacabbabbcccbbaabaababcbbabccbaccbabacabacaacbcbabcabcccababbbcababbccccbbaacbbbcbbbbacaaabbaccbbbbcaccbaaccccaaaaaacaaaabcabcbabcacbcbbacbcbaaabacacacabaaacaaccbcaabcbcbabbbbabbccaccbaacaccbabbaaabccacbaacabbcbcaaabacacacbccbcacabacbaabacaacccaaaacccccccabacbaabbbbcaacbbaacabbaacababcaacbaaccacbbacbaaabaababbccaccaaaabbccbaaccbbcabaaccabacbbbcacccaacbcbbabbabcbacabbaabaabccccbbbbcacaaccacaabcababccbccccbabcacacaabbaabcabbaabbcacabcaaaabbaabbcacabaaccabcaababacabcabbabaacabccacbcbbabbcaccbbababbcaabbcbbcccabccbbbbabcbaabababbbbbbabaccacccbbccbacaccaaacacaccbcaabcccbcccccabcbcaacbcabbcaccbabbbbcbbccbabbbaabcabbcaaccaaccabbcacbccababcabcabaabcbcbbcabbacabccabaaaacbcabacbaaababbbbbbccaaaababbcccbbcbaabbcbacccccbacacbacacbbbbacccbaaababcbaabaaacbbbabcacabcbbababaacbacbaaaacaabcabaaabcacabaacccbacaacbabcaaabbababccabbaacaccbbabacabbccccbcbccabbabcaccacbbccbbacbaabbaacbabcbcbcacccbccbcacabaaccbaaacabbababaaacbacbcbcacaaabaaacccbbbbbbaaabccaccabbbacaabccacbcaabcbbaabcacbbabcccbbcbaacabbcaaabaabcabaccbabbccbacbbbcbcbbaabbbbabbacbbbacbaacbccccccccbccabcacbccccbaccbccabcbacbbccaacabbcbcbaabccbababacbcabccccbcaaccacccabaccccabaaccaaabbabcbcbbcacabcbababccaccaaccacbcabcacccacbaaacbbabbaaaaccbbbcbbcacccbbbcaaccbbabbabbcabcccaccaccababbbbcaabacbcbacaccabccbaaaabbabaaabbccbabbabccbbbcabcbcbabbaaacbbbacabcacababccccbabaabcccbbcaaacaabcccaabcabcbababcccbabbbccabbccaaaaccbabbbaccaabaaaabbcabbcbaabbacccabbbcaccaaccacabbccbaccbbbaaabbbabacabbabbcccbaacabacccbccaaccbcbcbcacaccaaaaabccaaaaacbabbbcbaaabbbbcbcbbacbbaabcabababbbbccbbbaaccbaabbcabcabacaaaacbcccaaabbacaaacabaccaccaccbccbacabbcbbcbbbbababbbaccacbcabccbbbcbbbbbaaaabbcbaaacccbabcccccbcbaccbacccacbcaacbcaabacbbaacbcaaccbacbcbabbaaabbbabaaaabcccababbcbaaacabccbccbbaabaaaccaaabbabbabcbcaabcabbbcabacbcccbabcccacbbccbabbbacbcbacaabcbcaaaaabbbccaaacbcacbacaabbcaaaacbacaccacabaaaabbabbccbcabcbcbbcabcbcaccbcaaaabbabccaaabaaabacaaacaacccccbbcbbaccacaababbcabcbcabccabaaacaabcbbcbaabcbaababccbbbbbccaccbacbaacccbbcabaaaabcccbcbbccbbacbacabbcbacaccbbabcabbcccbacbaccbbbcbaabaabccbbcabcbbaaacbcbacccaaccbcbabacbacacacccacaaaaccabcbccaaacaaccaabcaabcbbcccacccbacaacaccbbcacbbbaaabbccbcbcbabccccccaacbbcacabcacababcbbaacbccaccbbaacabcbbcabaabbcacbbababbaabbbacccabbabaabbaabaccbcbbabbababcbacbacabbccbbabbcccbccacbaabcacaaabbabaaabbacabccbccbbcaaaabbbaaacbacccbcabcaacccaaabacbccaabccaabcbaccbcbababbcbbaabaaaabaaccacabcaccccbcbcabacbabccacbbccbcbcacbabcbcaabcacaccbbcacbbcabcbacacaaaabacbaaacabaccabbaccaacbacbccccabccccabcbbbaaabababcccabbbaaacaabcaacbacaaaabbaccbccacbccaaabbbacbabcbbabcaaacbcaaaacaabcbaaabbbccacbacccbbaabcbcbaccacbabbbacbcccacacbabbacabbcbbcacacbaaccbcabacbabbacaaabbabcccbccaababbbccccbacbabacabacacacacabccbaacacbcbaaaaabbbccabacbabbaabccbcbbabcccbccbbcbbbaabbaacbcbaaccbacbbacbcacbabbacacbaabbbbacbcbbcbbabaaaccbccacccbacaaccbcbbcccbbbcbaaaaabaacbaacbcbaabaabcccbbaacbbbabbbcccbbcaccbabbbcabababaabbbabbbcaaaaccccccaccccccbbbbccccbbaccaaccabcaacabccacaccbbaabcbccaaabbbcabccccbabcbccbabccaccbbabaabcaaccacbbbabcbcaaabcccbcbaabacacaacaaacabcaaccaaaababccabacbaabbcaababcbcacccaabbbbbbcaabbbcaccbccccbcaacacababbbcccbaccccbbbabcacccbbcbcacbcbbabccaabcacabccaaacacbbabbabbcabaabbaacabbacccbaaabacbbbbaaabcbcccccacbbacccabcaababacbbcaaaabbaacaaabbaaccaabbabcabacaacbbabcabcccabbababbaaabccabcbcbaaccabaaacbbaabcbabbabacbaacbacccabcbccabbaccbaaccbabcacbacabbabcaaabbbbbccaabccbabacbcbacaabaacaaaccbaccbacaababbcacbbcccbbcccbbcccabbacbcbbabbcbbbcbaaaababcacbacbcbaabbbccacacaabbacababacaccbbcabbabcaaaacaabbbbacccaaababacbbbccaacaacabbacaacbcbcaacbbbcacccccbaaabccbbbcbabaaccabababaaccbacccaccccbabcbbccacbaaccabbbcabacbbbabcacbaacbabbcaaaabcbcacbcabbaacccbcbacabbaaabcbcbcabbaaaabaaaabbabbcbcacaaaccacccbccbabbbcbbbbcbbaaccaacbbaccccccacaaabcbacaaabbaaccacbccbabaabbccaaabbbbaacccacabcbaccbcbbbabacccbcccbccbababacaabacabccbbbacbcaabbbaabbbbcbaaccbccbababbcbbbacbcaacaacaacabbcbccccacacbacaaaabbbbabbacacaabaccccbbcccabaccbabbaaabaccccbaabbcbbabcaaababcccaccaabcaabcaaccbcaacacbbbabaacbaabbcbccbbcabbacaccacbbabaaacacccbbcbabcccbabbacbcaccbbacbccaacaabacbbbcbabbabacababacaaaaacccbacabccacacbbcbccbabaacaacaababbabbbacacccbbbbbaabbccacbacbaabcacabbbbabcbbccbbccabcbcbbbbccbcbcabccaabbcbabaababbbbccacbbabaabbbaaaccbbbbccabaccabbaabbabbaacabaabbbacbacbbbcaacccccaccbbabaccbbaacbaccccacaccccbbaacbacacbbcbcccccbbccbbabbcbbcacbabbabbcaccccbccbbababccaacbacbbbccbbccccbcaaabcbaacbbaabcccbccbaaabacbccabaabacabcacbacbcbbaaaaaaabccccabcbabcaaabaabbbacaacbcbbacacaaccbbcabbacbbbccbabcaabacccbccbabaacbbcccaabacbacabaaacacbcbcccbabaabaccccaaaacaaababacccacbbcaabbbacbaababacbccacaacabcbbcabccaacbaaaaacbacbccacbcbbacbcbabbccbacbcbaabcccaacbacabcccaabbbbabcabaaaaaccccbcaabccbccbbbccaacbcbababaccaccbcacccbcabcabcacbbcbabcaacccbccaaccccabaacaaacabacbbaacabaaabccbacabbbacabaacbbacaaacacaaabccaabaacccaacbcaaaaaacaccaacabbbccbabbccaacaabbcaaabcaacbcababcaabbaaaaabcacacbbcaacacabaaabcbcbcabacaabbcbaacbbbccbaccaaabcacbbccaaacbbccbbbbcabccbcabaaacbcbbaacbcccccaabacacbbaaaccbcbccbccccaccaacbcccabcabacbccabbbacabacbabccbccbcaccacaabbacaaaacbabcaacbabcbabaabcbbcaaaacbbbcacaaaaaaabcabccacacbaacbcabaaaaaabbabbacaaacbbbbbcabcaacbbbbabbaccaaabbbbcaaaaaaabbabbcccccccaaaaabaabaacbcbaacaacbbcbbacaaaabbcccabaaabaabaaaaabcaccacabbcaacbcbccabaabbbcbcbbababaababbaaaccbacacbcbcabbcaacbcbbcbaccbabbcaabccabaccabcbabcbcbcabaabcbaacabcabbbbacbbbbbcbaaaaacbbbaabacbcccbacbbaabaaccbccbbcbaccaaaccbabcccbacaabbcbbaaabaababbbcbacbcbccbaabbcabccbcccbccaaacaccbccbaababacbcccacacabbabbcbcbaaabccbaabaaacabcbccbccaccabbbccabbccccaacaaaababaabbacbcbababbacccacccabaaabbccbbaccbababaabacaacbacbccaaacbbbaabccaabacbbabcccbbaabbbbbacacacbccbbbaccaaaccbcbaccacabcabccbbcbbcabccabbbcaccbccaccaccacababababaabacacacbacbcbbabaabccccbabcaaccabcaaacbcccbbbcaaacbbaababbaabbbbccaabcbcabbaccccaaaabbbbcbcbbbccccccccacaaacaabccaaabcabacbaaacbbcaaacbbaacaccccbbccbcbbbaaaaaccacbcccccaaabcaacccaaaacabbcbacaacacbaaabbcacabccccccbbbbaabbbcbbcaacccaabbcabcabbcccbcaacccabccaaaacbcccabbaabcbaabbbcbacababcacbbaaccacccacabcabccaabbcbbbaccacaacccaccbbbbccccbcaaaaccbbcbbbaabbabcacbccaaabcabbbabbabccabaacbacbabbbaababcbcabcbcabbbbababcacbacabbabbabbabcaccbccaabbbcbaccabcacacccacbcaaaccabacccbbccabaacbbaabccbbbcababbcccbcbacbcccbababaacccacacababacabaccaabcabacbbabbcabaaaaccaaacccacccbabaabcaaacbaaabccabbbaabbabcabbaaacbccbbacaaabbbbcbabaacbcbaacbbbabcacbbbbcabcccabccccbbaabcbcccbcabcbaaacabbaabbacccbccabccbababcbbbccbbbbcbccbbbaaaabbbabaacbccbaabbccbaabbaccaccabcbccbbaabacbbacbbbaabbcbababbabbbaaabaacbbccaabacbabaaaaccbccbbccacbaabcbaaaacacacacaaabacccbcbbcbbcbccbbcaaaababbaccbabbababbccacbbccbaaccacacacaccabbbacaaaccaabbacaabbaccbcbccbacbcaacacbacbbabcbcccaccababbbcbaaabbaabcccbaababbcaacbaabccbabbabbaacbccaaccbabbbcbbacaacbcabbabcbabbabcbbcbbbcaaabbcccbabcabcaaccbaccabcacccbcabbacbcacbbacbbcbbabcacabbaccaacbbbaabababcaccabcabbacacbcccccaacabccbaccbaccbaccaabacbbbccbbcabcacabcbbaccaaacacbccbacccbbcaccaacababcccbccaacccabaaaabcabaccaacabaabbbcacabacaacaabbbcaccccbbcaaaabbcccaccaabacbaaaabaabcbcaaabbcbbcaacbabcbbbbacccbbcacacacbcbcbbbcaccbbbbcbbbaccccababaaaabbcaaabcbcaabbcaaacbbabaaabcaacacbbcabacacaaccabcbcbcbcccaababcbcabcccbbbababbbcaccabbbbaacbacbacccacacaaaacababbbbacbbcbaaccbbccaacbabacccabacacabcbacaccbbcaaacbbcbabaccbbaacaaccaacabccbabaabbcbbbbcbbbacaaccccabccbccaccbbbcbcbaacbccabccacaaaacbccbcbbbaccaaabcbabacccbbbbcbababbbaccbacabbaacccbabaaacaccabaabacbcccbccacabbbbcbcbbbcacbbabbabbbabbbacbaccacbcbabbcbcaaaacccbbaacccbcbccbcbbbcbbacacaacbbcabbcbacacbbbcccbcacaaccbbccaccabcacbcbbacaaaccacaaccbcbbacbcaabbccacacccbbccaaaccbaabaabcbcabcccbcbbabcbcbcbbccaccccbbbacaaaabcbcbaababbacabcbabaccababaacbcccaaacccaccbcbbababacbcbaccbacbacbbcaabcbcbbbcaaaabacacbbbbcabccbccbcbacbbacbacabccbcaaacbaaaacbaaaccacccaaacccbaaaacacaaacaacaacabbbccaacabccbccbcacaabccaacbcbbbabaabaccbaccbbbccaaaacbcbababbcccccbaaababacbccabaabbbbaaacaacbbbaabccabcbabbbbcaaccbbcbbcbabccacccacbaacaaabbbbbcbbabcacbcabacabbbacccbabbbbaabbbabbbcccbbcbaabccacacaababacbbbcccbabcabbaccaaabcbaccabbcccbcbbabbbacbcbcccbaabcbcbaabcacbcbcabacacbacacabbcbabaccacacbbacccaccbbcbbbcabbccbccbacbabbaccccabababbbacbbbcacbaccbabbaacabbccbcbacababbabbbaabbaccaaacacabbcaabbbbcbcaaccbacaabbcaabccabcabccbbaaacbabbaacbacacccccbcaaabcbaaaccbbabcaacbaabacbbcaccaaccbcaccaaaacbbbbababbabcccababbacaccbbcaabaaacabacaabcacbbaaaccbcbbcabacabbaccbabaabacccbacbacacccababcabccbcacaaaabbcccbabbcbbbbacbacaababcabaccbccaaabcbcacaabbbacbcbbbaaaccabbbaaccccccaccababaacacbccbbbaabbabccccaacbaabcccabcccaacacbbacccbccccbbbacbaabcbaabcbabbabcbbacacbbacbaacccccbbbcbbacaabcccbbbbabbcbacbcaacbbcbaaabbcaaaabaaacccbbacacbbccbaccaacacbababacbcccccbbccbbaabbacbcaababaccabbcbbcbacaabcacbbaabacbcabcaacacaaaccacabacbabcccbbbcbacaacbaabaacaaccbccbcbaccbcccbbaabcbbaccbbbcacbbcbcaacaabaacabbcbccbaaccccbccbbababbabaabccbbbccabacbacabbabccbcbbbcbaaacbbbcaabbaaccaabaabccccabccabbbaabaaccaabbbacabccaacbacbbcbbcacbaacbccbbcaabbcabbcaabacaaccbbabcabaacbcbccacaabcbcbbcacabcabbbccccccbaabbabcabcbbcaabacccacbaabbcccabbaccabcabccbbaaabaacbbcccaacacabbbcbcccaaccacbacccaabaccbaaacccabcbcbacaaabacbbaacacacbccaabccabccabccacacbbaaaacccbbbbabaacbbccaabcabcacbcbccbbbbaacaccbbcbaacaaaabaaaabaaaaabbbaacbacaacaccccaccbbcaccabcabbbcacbababacabcbbaccacabccbbaaacacbaccacbbbabbacbbcbbbbbcbcaabccbabaccaaabbbaaccabaacbacccccbcabbbaabbccbacbcabccaabbbcabacbcbcabaacbcababbaaabbaccccacacaacbbababbbbccacbbaacccccabcabcaacacccbcbacbaabcccbabcccaabcacaacbbaabccaaacbccccabcbcccabbbaccbcabbcbcacbbacaccccabbbcbcbcbcabcabcabacbcccccacbbaccbbacbaaaccacbcabccbcbacaabcaccaaaccbbccabccaccaabcccbaccaccbbaabcbacaaabcbacbbcaabbbcabbccaabcbccacaccbbaacabcbabbbaaaacccccbcbbbbbccbbcbabcbabbbbcccbcacbacacaababcbccabcbbaacccccbbbcaccaabcbbabbbcacccccbaaabacbbaaabacacaaaabacbbcaacaacccbbcbcabccccbbccbaabccabaacbcbbaaccbbaaaaacbacbccbcabbcacbccbbbaabaacccbcccacabacbabaaaacbacacbabacbaaabccacabbbaacbbbaabcaaababbcaabaccababbccbbbcaccbbaacbcaabbaccbabcacccaacbabbcaabcabccccbbcbccaaacabcbaabbbccbcaabaaaaaacbbaccbcccbcbcbcbabaaacacbabccccaabbabcbbbcbacaacbcbccabbbccbcbabcbbbbccbcbcbabbaccccbbabacabcccaccaaabcccccbacabcbabbbccaabccbcaaabaabbbaacacbacacbacaacbccbabcabbcacbcbbcaacbbaacbcaaaacaabbbacbbbbbabcababcacbacccbbbccaaabbabccabcaacccacabaabcbabcccaaabcbbcbbcaacccaaacbacabaabcabccccacbcbcabcabbccbbcccbcccbbabaababcbccaacbbacababbacaaccaabaaaaccccbccbbcbcabacacbbcbcbbabccbcbaccacbbbcbbabcacbaaabccbcbcbaaaccacbbbbabacabaaaaababccccabaccbacabbcbacaacccbccabbaaabbccaabbcaacbbbccbabcbacaacabcbbabbbbcaacabacabcaaaccbaccbaccbacabcababcccaaaabbbcbbcbcacbcbaabbacbcbababbabbbbcacccbcbcccaababbaabaabcbabbcbcacaaabcbccbbccbccccbcabcacaccabcaaacacacabbbcbababaaacacbabaabaaacbaacaacbcabcbabcabaacbbccacacbababbaacbcccbbbabbabbabbcbbbcaacbacaabacbcaabaccaaaabacbbbacabaaaaaaccacaccbaccaabbbaaaccabccbcbbacacbbaccacbababacccbbbaaabbcaacccbacabbcbbbbbabcaacabcaaacbacbbacbaacacbcabccbcbbbcabccbaacccbbccbbbbcbcbaaaacbcbcccaccaacccbcbbbccbabbcacbacbaccaaacabaababbaccbbcacbcabbaaccacbabcbbbbbcbabbccccacabbaacabacaacbbbcbabbbababacbbbccccbbcabacacbaccbbbbcaaabbbbcbbaccaabbcbbccbbbabaabbbbcccaacbcacaccaaaaaccaaabcabccbbaccccbbacbabcbbbbcabcccababcacbaacaacccbbbbccacbcbbacbbccbcaccbacbbbbaaccaacbaaaaaccacacacaacbcbcbccbaabbbcaabbbbabbaccbaaaababcbbbabaccbcabacbcbaaabccbccaabbaaabccccccbababacabccaaabacaacaabcbcacbbaaaccccaabbacccabaaabcccaabcbacccbbccccccbbaacbbabcacbaabababcbccbbacbbcbcbcacbbccbcbbcccaabacbbcaccabbabcccacacacacbcabcaccbaccbbaaaabbcaaaaabcaabbcaaccbccbcbbcbcbabaaacabaacbcaabcaabababacacababcacabbaababcbbbbaacabbbbbaabcbbccbcabbabbbabaaaaaabacaccccacbccbccbccbbccccabacacabcbacccbcbcbabccbaaaabcaabccccbabbbcbbaaacbaacabcbbbabccbbcbcaaccbcaccaacabbbcccaccaccbcacbbbcaacaaacabbbabbbaaabaacbaaccacacbccbabbcaaacbcaacaacbaccaccabcbbcbccbbccbcbcaacbbcbbcacbbcbabaaccacacbaacbabbcbbbaacabababacacacbbbcaccbababacacbbcacaacabcbbccbcbaccabbcbaabaaaaabbcbccabbcbaabbbabbccbcbababcbacbbabacabbcccaaabaaacbccaccbbcbbbaacbcccacbcabccbcbcbbbacabcbaacaacabbabaabaacbabacbcbacacacaabbbbbaacbabbcababaacccccabacaabcaabcbbaacbbbcccaababbaccbacabbbcabaaccaababbbbcbbbccabccbacaacaabaabbcabcbbabaabacacbbcaccbcbbccbbccbbcbacabbaacabbbbbacbcbcabccabbbaaccababccbaaaabcbacbbaabbcabacaccbcabcbccbcacbbcbbbacbabccabbaccbabbcabbabbbbaabbbcbcaaacacaaabbaacccbaacabcaabbaabbcabcbaaabcaaaccbcaccbabcaccbcbcabbaacbbbaccbababbcababcbcbbaabbbcbaccbbbcabaabcacaccabcaccbbcbaacbcbaacbccacaccbbcababbcccacbbabaacaacaababacbacbccaababbbbcabababababcaccccbbcccaacccbacaacaabacacbaaacaaabcaccaacccbccaaaacbbabaaaccabbcaabbbbcaabbbaaccbbbccabbaccbacbbababbacbbbbcabacbaccbaaacabaccacabccbbaabbbbcbaaabacabcbcbbaaccbcbbbacccccbccbcbbcabcabcbcccabbaccbbbcacaaabaabaabbabbcbbaaaabcbbbccabbabacbcbabbccbcbacccccaaabccbbaaaaabbabbccacabbcbabbbbabbbbbaaaabcacacabcccacaaabbcccacaababacbaaccaabbaaacbbcaaabacbbbcaccacbbcbbcababbbcaaaaaaaccaabbbaabaabaaaacbbcabcaacbacacabbcccbaacbabcbbcaacbcababacbaaabbbaacccbbbcbcbbabaabacbcaacbbaacbabcaccaaaacbbbacbaabaabbbbabbaccccccabcbcaabbbaababcbacabcaccbacbbacababbbccbccababccacbbcaaacabbccabbabaacaccccbbbbbababbccaabcbabcbbcccbabacbccccaaabbacaacaacaccbccbbacbaccbaacbacccccacaaabbaccaaaacbcabacbacaacacbaaacbaacbcbbbcccababbbbcabbacccabcaabacbbbbacbbcabbaacacbbacacbcccabbbabaaabaabacaabaaacbbacbbabacabaabccaccabbaccacbccbcccbababcbbcbbabacbabccbcabaabcbbaabbccbbcaabbbbcacbbcacacaabbccccbabbaaabcccaabaaabbcaabbcbcbbabaabbabbbcbaacbabcabaaaabccbcccbaaabbbbabccacbbaccbaaacabcacbcbacaaabbbbbabbcabababbcbbcbabcbabaabcabbbcbcbcccbaacbbcacbbccbacabcbbaacaaacccbabcbbbbbcbcbaaababbaccaacbbcbcbbcbcaaaababacaabaccbbcbbcbabbabaacaacccabcacbbbacacbbaacabbccbacaabaccabaaacbbabcccbbacaabcbbbaaacbbbccaaccbbcbcaccccbacaacbcbbccabbaababcaaccaaacabaacbbbaccaabbbccaacaaabcaaacabbcbbcccbbcaccabcccccbacccccabcabaccaacaaaacbcabcaacaacbacbcbaacaaabbccabacacbcbbcabbaabcbbcaabbbcbcacacacbccabacbccccccacacccbccbbbacabaacbccbacccaaacbbbcacabbccacbbbcccacacabcbcbbacacabaabaccbcbcccabcaabccabcbcbbbabcabcbacbbcaacbbcbcbcbcabccbbacccbbbcbbaabacbcccacbbabccabcabccbbaccabacbbccbabbbbacabaccbcabcbabcacbabbacbcbbaaabacbbacabcbabbcabbbccbbbacbcaacacacabbabcbcacaaaacaaacabcccbacabcbbaaaccccaccaccabcbcacaaabcbbbbbaabcaabbabbbaabcccbcbbacccbcbcbabcacccccaaccacbbcabcbccccbbacaaaccccbbbbbaaccaaccbcaaaacccbbbccbabbaaabbbbcccaccacbccbccaaacbbbcccabbbcbaabccacbbccbacaaabacabacbccbcbacaabbbaaabcbaccccbbacaabbacaaabbacbbcbcaacbccacabaccbcbcabbaabcbaacccacaccbaababaccccbbbbbbbbbcaacabcabbacabacaababacaacaccababcbaababacbbacbaccbbcacacbbbbcacbcbabababcbbacaabcbabcaaaabbbccbbcabbcaacbabcabbbabacabaacbccbccaaaaabccbcbcbbbacbbabaaccaacbbbabbaabcaaabcaaabaabaaabcbabbacabcacbacbbbbbaacbaacabaababcbabacacbbbbaabbbcabbabacaacccbbaabcabcbcacbbbaaabbabcbbbcbcccbcbaabccaabacabaabccccbbbbcaaaaccaaccbbbacaacbbcccbcaacaabcbacacccababaaacacaaabbcbaaaabbabbbcbabaccccabaccabbaabbaabcbcabbacccaaccaaabbccacccababbcbbccbbbbcabaccbcababccbbbcbbbbbaaccbbbcccbbbabbbbacbabcbcbccbcabccbbabcacbbbbbcaaaccbbabccacbabbbacaacaccacbaacbacbabbcabbbaacccaccaaccbcaacccbaaabaccbbababcaaaabbaaaabbbacbbacbaaababbcbcacaababbcaacbabccbbcbccaabcaaabaccbccacababcccbababacbaacabbbcbbcabbabccababacabcabcaacbccabaacbbbcbcacaaccaaccbbaacbbaaccbbcabbaacccbbcabacbaabcacbabababbaaaacbaaacccbcbccbabbbcababcacacacacabacbcbacbabccbbbcbabbaaccbbacbbcaaaacbcbcaababcbbccaacbbcaacbaabccaccabccbbbacbaaaccbcacbcbcaabcbbbabcbccabcccbbaccbabcbbaacccbababcbacbccababbaaacacccbbabcbbbabcbababbccacbccbbcaaaacccbbacbccbcaaacccbcaabcabcababccaabaabcbbbacabcbccccbcbcccaababbcbcaccbcabcccccccaaccbbbbbbcbbbaacbbbaabcbbabbbacccabbbbcacacacbacbbccbbcaaaaacacabcacabbbccbccaaaaccaaaaabcccaaccbabaccbbbbacacccbccccbbbababbccccccabcabaaacaababaacbcbaccbcabbbcbaacaabcaabacbabbaabacccccbbcaaccaabaaaccabaaaacacaabaabcacbaaaacabcbabbacbbbbabbccababcccaabcccaaaacbcaccccaccbabcababcaaaaaaccbbcacccbaaaaabbbccbbaabbcaaacbabccaccbaaacabbcacccbcaaabcaabaaabbaccbbbaaaaacacaacccbccbcaacbabaabcacabbcacbbacbabccacabaaabaaaabbbacbcbcbccbcaaccccbcaaabbababaacbaacbccaabaabccbccabacaabbcabcaabaacbababcabbaababaacacbaaabbacabccabaacabcbacaacbbbcccacbbccaccacbbbabcbbbbacccbbacbbbabcaababbaacacabbcaabbcbcbbcaaaaacabbbaaaccbacaabcbcbbbcccaccabbcbacaabcbccbbaaabbacacaccbcaaccbccbbaaaaabbbbabacabccaabaabbbcabbbcabbabaccbcabacbaaabbabababaabcbcaacaacaaaabacabaacbbabacbcbcacbbabaccbbccaacaabbaccacbacbccaaaccabccaccbbabcbaccccababcacbcbcbcaccbabacaaabbbaccacbcbcabbbbabbbccabbaabaabbccabaabbcaccbabbcabbbaaababaaabbcbbacbaaacbcbcbabacabaaaabbacaababccbacbbbcaccbbcbbccacabbbabbccaccabcacbcabbbcbcbaccbabbaaabaacccbbbbccbbaaaaaccabbaaacbacbbbbbbaccacabbabaababcaacbacbccccabaaaccacaccacbcbbacbccbbaabacbcacacaaccbbbacabcbbccbacbcbbacccbcacabbcbbcbaabaacbabcbabacbbbbbccbcaccbbcbbcacaabccabbbccccacbbabcacabababaababbbccbaacaccbbbabbbabcaabacaaccabbabcbaaccbacbcbbbbaaaaaacbabccbcaabcbccacbcaccccaaccaccaacbaacccaccabbbacccacaacabbbcacaaaccbaabbaaacbbabacaccbbbbccabcaacaaacbaaccbaaabaccabacaccbcccacbbbabbbcaaccbcaccccccccacacbabcacccbcbbcbcbabacbcaccabbaaacaababcbbccbcbbbcbcaabcbccaccbcabacbbcacababbcbbbbcbcaacbcbcbcccbaaaaaaccaccccabbccabbbbbbabbcbaabbcaabcbcbbabcabacabbabbbbcccacaabbbaababaaaacbbcababbabccbacbbcbbcbacbbaaaabcbcacabcbbacbcbbbcccacbcbcbabbabcaaabaabcacbbababaaccacbbbaaaaaabbcaabaccaabbbacabaaacbcbaaabbbbcbbaccbbcbbccbaacacbccbcbbbbbaaabbbbacbcbcabbcbcbcabcaabaccacacabcaccbccbcbbbacabacabacaacbbbcbaabcbacbcaaccacbacccaaccbaccbbcacbacabacbcbaacabbbaabbcacaacbbbcaaccbcbaaacbbbbabcbcbacbcbacbbbcbbccbacccaccbcaaaccaccaabcbcbaacbccbacaacbaacbbbacbccacbbbccaaaaacaaacacacccbacacbcbacacababaacaaaaaaaabbaababbbbbccbcccbbaabbaaccacbbabbcccabbcabbbaaaaabccabbcbbcbbbabbbbbaacbaaabcacccbcbbbcbbcbacbaabcaccbabaccaabbabaaaabbcccacabbbcaacacbcbaaacaaccaccaacbbacbbabaccbbbbbaacabbaccbcbcacaabbaccbabaaacaccbccacabcbbcbbcbcacbbbcbcaabacacbccbaaaacccccabcabaabbaacaaccccbcacbbcbbcbabbaabbbbacacbbbcaacbcbccbacbbcabaaaabccaccbacbbacbbcabcabbabaabcaaccaacaccbcbbccaabaaabaccabcccaabbcaccabbcbcbcacbccababccacbbcbcbabaccaabaccabbbbababbaaabaccabaabacbcbacbbbcbcbaccbcaaacbaccabcacccacccabbbccaabccbbcacbababaaaaacabababacaaaccacaccccabababbbaacaaccbbcaccccbacbccbaabbcabacccaabcaaccbbbcbbccbcbabcbccbccacaccabaccbcbaacbcabcccacccacbcacbacbbacbcaaababaccbabacaabaccaccccbbbcccacbbbbabaabbbacacbaacbbbbbcbbbbaacbcabababaabbbcbbbcbabccbbccacaaabbbabcbbcbbbcbbcacbbcbccbcaababbbcbaccbcbcccaabacbacababaabbcababbaaabccccbbbccabbbbbaaacbabcbcacccacccbccbbcbacbccaccbabccbabcbcaaaaabcabbbcaaaabacbcabbbcaabbbaccbcbacbaccbcbbbbbcbbcabbbcccbcbbbabbbcacaacacbabbabcbbabaaaacabbcccaabbaababccaccccabcaaccaaaccababcbacaaaacabccbbabccacbbcbccbacacbbaabccacaabbaacccbacbcacccbabaabbabaabcbbabacbaaacccabcbbbaaaccabbcaaabacbcbbccccbbccccaacbbabbababaacbcaacaccacccaaccacabacacbccbabbcaababbbccaccbbbbcababababbbaaabbaaccabaccabacabcccbabcabbcbbbaacbcaababacaccbbcbbccaaccbacaacabaabbcccbbabcbacabcabcbacbbcbcabaabcbcccbccabcbacabacbabcaabaabcababccbbaabbbaabbcccabaaacbbcacbbacababbcaabbacbabbaaacabbbaccabcbbcbabbaccbcacabcaccbaababbbccbbcaccbccccbaaaabbcabbccbabbcbcaacccabbabbcaabbbaccbcbcbcabcabccaabbabbbaabcccbbaccaababacbaccccbacbacbbbbabccabbcacaaabbbabcbaacacbabbcbbbccbcabccbaaacbcbabbaabaaababaacaacbbcbcababcbbaccabbbacaaaabccacbccbacccabbababbaacbabbcbbaaccacabccabcabaababacbcbccccbacbacacaccbbbbcaabbbbbbcbccbbbcbbbacaaacaccccbcabccacaccabcaaccbabacbccbccaaabacaabbbaccaaaabcbbccaacacacaabcbabbbaabaabaaacccaaaaccabcbcaaacbcaacccbcabcaccababcbbaaaacabcbaaacaaabcbabbcaabbccccccaacaaaccbabcbbbabcaaccbabaaaccaaaababbabacaccabbcaccaaabcbcbabccaabaaccbcbcacbbcbccacccaccbcaaccccbbcbcaabbbcbabaaacaabcbcbccaccabacbabbaaabbcaccbcabacaaccccccbabbaabbbbaabccbbbbbabcacbaacbabaaabaabcaccbbccbcbbcbaacbaacabbababcbcaaabcccabbbcaacaabbcbaabbbbacbbacbcccaccacabcaababcaaacbabcbabcbcaaabbbcaacacaacaaacaababbabaabaabcbaccabbabcccaabbcacabbcccbcbbbaaccbbcbcbaacbbacbacbacabcacacbacaacabbabcaccbbcaabbabcabbaabbbccccacbabbaacaaaccabbccbbabcbbaccbaccbcacababbcbabccccaabacabbaacabcaacccbbbccbacabcbbcbcacacbacacaaaccccabbababaaaccacacbabccabcbcaaacbacccbababbaabbabcacbbabacbaaaabbcbaccaccacccabbcacbabccaabaaabcaacabaaaccaacbbcabcccabccaababcbbaabbaabcaabbaaacbabbacababccabaccabcbaaccacbccbbabccabaaccbcccabaacbaccabbaaccbcbbbcbcaabcabbaababbabccaacbaacccbabaacccaccbabaacbbcacbacbabcacbaaacccaacaacabaaacabcbccbcbcbbaaaacbcbabacaaccaacaaacbcccbaccaccccabacacabbaaabbbbcabbcabbaccaabcbabbaabacacbbbacabbcaabaaaacaabccbaabcacbccabacccbbccbacaabaabbbbccaacabbaaacaaccccbabbabacbbaacaabcaaccbbabbbacaacaacacccbacaabccacccbbbbaabaabcacbcabccabccacabbccbacbccabccacacbacababbacbbcccabccabbbaaaaabaacbbbaaabcbcaaccacabccccacbccccabcabacccbaaaabbacbaaaabcbcbbacaabbacbcbacaabaabacccbbcbbbbabacbcccbbcbbbcbcccbacbbcbbaaaaacbcaacbbbcbcbaaccaacbbbabcabbcbaccbcacccaababbcabaacbabccaaccbbabacbcaabbbcbcbbcbccacbaccaababbbcabbbaaabbccaccacbacaaacbcabbcbccbcccbacaabcabcaacbccbbcbabbaabaabbbccabcccabbbbabbaabababcbabbbbbbaaabaccccaaabaabbbbcbbcbcabcbaabcbcbbaacaaaaacbaaccbccaacaacbbbbccbabbababcbbbcbccbcccbcbbcccbabaaccbbcbcabbacacccabbacabcababbaacacabcccbabbabcaacccaccabbacbcbbacabcccbbcbabaccacbbabbbcbcaabbaabbbcccbccccaacccccccaababbbbabbccabbbacaaabbabccaccacbbbbcbaaaaacbaaabaacbbcccacaabbbbbacccccaabbbbbccbcbbbaaabbabbacaccbaabcbbbacaacccbccacabaacacbcbaaabacaccaccabcacbbcbcccbababbcacbbbaabcaacbbabacbaccccbbccbacababcbacbabbccbccbbcbbcabcaabaababbcaaccaaaaaacbccababcccbbcaaaaccbccbabbabcabbaacaccbacabbbbcacbbbacaaaacbbbbcbabbcabbacaacabcbcbacabcaabcaabbbbaabaacabbbbbabaabcaabbabaabbbcabcaabcacaabbaacbcabaaabbbababcccbcbaaccccccaaabacbaabcbbacccccbabacccccbcabaaabbacaabacbabccaacaaabcaacaaccbcaccbbcccbbbcbaabcabbccccccaaacccbaccbaaccbaacbcabcbabbbaaacbabcbbbbbbacacbbccccbabbbcbccabbbbaccbaccaabbcbbacaccaabaccacccaabcccacacbcaaabaaabaccacbcbcaacabbccabccccabacccabbbccccacbbbccbbaccaabbaacbbcbccbbbcccacabacababbccacbabcccbbcbcbacaccbcaaaacabaaaaabaccbbacbabbcbbacbcbabcbcbabcacbcbaabbbcabaabacccbbcabcccabccccabbcacbacbacbcaacaccacacaabcabbaccbcaccbbbbacabaaaababacbbbbcbcababcbbcaacccabcbbcbcbaaccbcbacbcbcbbccababbbbbcbbcabbaacabbcbbcaaaaccabbabcacbacbaaaccabbbaaabbccaaabbacaaccbccbbcbacbaacbbccabccbaabcbbcccccbcbbcbbaaabccacbccbbbbcaaaabccbabccabcbccaacabbcbcbaccbaaccbcbcccbbcbabbccbacacbbbabbbbcbbcccbcacbccbabbacbbcccccacabbbcbacbcbcbacaccbabbacbcaabbbabaccacacbcbcbbabcabbbaaacaaacbcaaabbbbaaaacbccbcbbcacacaabbcbbcbaababccccbcabcbcbaaacbbacccbcbbbbbccbbacacbabbbcbabbbaccbaababcbcacaabaabaacaccbacbcabccccbbabcbbacaaaaaabbccbabcbccbacbabccccabacbaaccbacaaaaaaacbaabaaacbaccbacabbaaaaccbccaccabbababcaccabacbbbaccacaacbccacbabacbaabaccbacababaacaccbacacbaccabaaacbcbacbaaabcabcbabbbcbccaabaabbbbccccaaaccacaaccabcbcaccabcbabaaacbbbcbcacccbbbcccababccabccbccabbcaaccbaccccaacbbcbccbaaccaccbacacccabaabbcbccbbcacbbaaabbbabcaaaacbccccbbaccbbbcacbbcabbbccbccbbbacbbcabccbcaacaabbbabccabbcaccccabaabacaaaababababaabbccaacccccbabbabaababbcaaacabcbbbabcaacaccbcbbabccbcbbacaccbacbbbbcbabcccabbabbababcabbbacaacbaaaabcacabcccccabaabcaabaabababbcabcaabacacbbbaccbcabaaaabbaaaabbabacbbacbaaaabbaaccaacccbaaaccabbbabbcbacbbacaaacbaacaccccccbbbbaaaaaabcacbbaacacccccabbbbbcaacabcbbabaacbbbacbacabcbbaaaaababaccbbbaaacccbccccbbbaaabcbcacbcabbbbaaacaabbbbbacbabbbababacbcbcbcabcbacbcaacbbabccabbcaabcaaaccaaaaaaaccbabbacccababbcaaccaabacbbbcaaaaccbabbcbcbcbcbbccacbaacaaccbcaaaaacaaaabacccbbbbcacccbcccbbccbaabcacaaabaccbcbccccbabcbcabbbccaabcbaaabbacccbbcccccccacccbaaacacccabcacabaabbaaccabccabbacbabccbbcbabbcccaaacccaacbcbccaacbbcbbbacabbaabacbababaabbccabcababcbacccacaabbbcaacaabaccacaaabbabcabaabccaabccbccbacbabcaabacaaabaacaabbbbcbcbccabbacaaabbcbaabbbccacbababbabacbaacbbbcaccbccacabbcbccaaaccaccbcccabcbbabcccabaaccbacbbcbaaccbaaaabbabccacbaabaaabababcaccaacaaabaccaccacacbcacbaabbcccbacbbabbabacbbcbbcabbcacccacaacaccccccbaccaaacbabcaccabacbacbacabbccbbcbcbcbbaabcacbcbccabbbbcbacabccccccbbabcbaccaacabbacbcabaababaaacbbcacaccccbccbccbbcbaacbbbccaaabcbaccaabccccbcccccabbcacaaaabcbaaabbbcabbccbabcabbabcababccbbbcbcbabcabbabaababacaaaccbabbccbbabbbbbcbcccbcbcccbcacbaccaabaacbcbcabacabaccbabacbabcbabaacccbcbaababbbbaabbbccacaaaabbbacacaccabbacbcbbbbacccbaabcabbcbacaacccbabcacaaaccacbccacbbcbabbabbabbbababbbacaccccbcbcbcabacabbbbcaaaabcbcccccbacbabbcaccbabacbbbbbbacabbacccbabbabccaabbcbbaccbaccabcaccabcabcbbabbaababbbbacbbbacbabacaaacacaababbcbbabcacaaaacbcccaaaabacacaacaaacccacbbbcbcbccabcccbbbaacbbbcacbbaabaabbabbbcacbbbaccbcabcaaccaabaabcabcbbcacaabbbbabccbcacbccccbccbbccaabccccaaabcaaccbbaaaacbbaabbbbbbbccabaaccccbbacbabacbcccaaacbcabcabacbbacaabccbbaaaaccaaababbbcabccbcacabbbcaabaabbcabbcccabaacbabcacccacaaccacbbaaaabbaacacabcccaccaacacbbbabbcbcbabbbbccaaaaacabcccabcbccbabbcaacccabcaaababbccbbcaccbcbbbbcacbbbcaacacbcbcccbbacaaccccaabcaababcbbaaaacaabaacaaaabbacccbccacbabcbccabccabbbacccbcbbcbaaacccbabbccacccabcbacacabbbcbacaacccccbacbaccbbcaaaccbbccbacccaaccacaabbababcbaacaabbbcccbbcaabbacbcccaaaaccccbcccbcbbcbaaabbcbbbabcabbccbcbcbabaccccabcacabbcacbababcaaabacccacaabbbcbcbbbbacbcabacbaaaccbabaabbcacccaacbbabbbbccacabccccbccaabbaacaabccacbcbcaaccbcacbbaaaaacbcaaacbbcabcbabbccaabaabcaaccaabbbccbbcbaabababbcccbbcacccbacacabababbabaccbabcaacaaccabcacabaabaabbbaaacbcaacbbbcbcbbaababccbaaccccabbcbabaccbbbabbcccabbbabbcbaacbcacaacabbccccbbcbcbbcabcabbacbcabbcbabacccbcbbacccabbcabaabbcbaccaacbccabbaacabcbccaaacbbaabbcbccabccbcbbccccacbbacbacababbcabbbabbbbcaaaabbcbaacbacacbbaacabaacaabbaacbbaacccccbbaccabbabccbaabcaaaccacaabbccabcacccaaaaaaccacbbccbcccbcacbaaacaacccbcabcaccaccccbbaccababacbbacbcaccabacbcabbbacacbbaabbacbcabaaacccaaabcbbbbccacbaccbbbbcbccabccbcbbbcbcbcbcaaacbacbbaacbbcabbcabaabbcabaccabbbacbbccbcaccbaabbcbbcbabcbbabbbabbaaaababcacbcccbbbcbcbaabacbcccabaaabcabbabaaccaaaabccccabcccbbaaabbacaccababbbcbcacbcacbcacabbabcaacccaabcccacaabbbcbbcabaaaccbbbcabcabccccaccbaacabbbccaccaaccbaabbbcaccbbcabacccaabcabcaaccbcacccacaabbcacaabcccbcccbccabcbabbccabbbaaaabbbcaacbcccbbbbacacbcbbbbabacccaccbacbccaacccabcacbcccbcbbcccbbbababaacbacaaacaaaabcabbcbbccbacaabbaacbcccabaacabaaaacacbbabbcaaaababcbbaaacbcbbcbacbacacbcccccbccaccaababbabcbbabbcaabacacabcbcbbabbaaabacbccbaccaccbcbbacccbbbbbaaacacbaaccbcbbccacbacbacaabcabbaccbbcabacbabaabcbaacbacabbbacccbccbacbababcbabccaccaacbcbacbccbaacbacbbbbccbacbcabcaccacabbcbaacaabbbbaccbccccbcacabcbabaccabacaaababacaabbcbabccbbaabcaabcaacbccabbbbaabacccbccacaaccccbcaabbcabcbbaabacbbbabacccabcbbabbbaaabbcbabacaabbababacbbacbcaccacbbbbaacbaacaaacbbacbbbbbaaaaccacabacbbaabcbcbaacacbabcaaaaccaccccaacbaabcaacbbbbcccacacbaccbabaababcabcbabbbacbabbcccbcaaaabaaaabbaacbaaccbaaaccbccbccaaaaabcbaacbccabcaababbbcbacccabaaababbcacacbbacacabccababbcabcbbaccbbcccbaccbacbabcabbcacaaacabbbaaabacbcbacbcbcbcbbbcccbccbacacaabbbacccccabcbbbaaabaabaaacbcbcccbcaacbbcbcbcabcabbbbaccabbabababccbabbccaabbbcaaabbaaaabccacbabbbbccbabcacbbcabccbccabacbbbaabccabccbaaacbabbbbbcbabcbcaacbcbbbcbbbcccccaacbbbcacaaccbccbbbabcaabcccabbbaabbcabababccbabaabcaaccabcacccbacbcabbbaacbababccabccaabbaaacabbcacccacaabcbcbcacccbccaacbbcbbcbcacaaaabbaccbbccacccabccabcaacccbaacccbaabcccaccbcccacacbcababcabcacccaccccabababcaaacabbbbacccbbbcaaabcaaaaaabbbbababcaabaaabbcbbacbbabaaaabacbcbaabbcbccbcccabcacbacacbaaacaccccbbbcbbaaacbbbcaabaaaaaabaacbbccacaaabbabacbbccacbcacbbcacbaccbaacabacabaccbaacababbabccbaababbbcbcbbabbcabcbacbccaccccbacababcbccbaccbbbbbabcaccaccabccaacababacaacbaaacabcaaacbcbbcaabccbaaaacbabaaacbabcaaccccacbbbbaaaccacacbcccabbcccaaaacabacbccbacbccacccabacbcacccaaabbabaaabacacbbabcbcacbcabcbababbbaaacbabbabcbabaabbccabacccbcbaaacaabaaaababbcaccbaaaaabbabcabcccacccaaccacacbabbcabcccbabcccabbabbaaacccaababcbbcbbbcaabaacacacaaababccbabacacacaccbbcbcbbcbbbacacaabbcccabccabcaccbabccaabbabcaabccaccacabbacbaacacabccccabbaaccbcbacaababbbbbccacbccccaccbccabcacacabacccccbacacaabbbbcaabccccaaaaaaccbbcccbcbcacbabaaabcbbcccaccacacbccbbccacccabaabccacaacabccbccacababacaaabccabcbcaaaaccbbababababccabacccbabbababbbacbbcbccccabaabcababaabcccccbcbcbaaaabbbbccbcabbacccccbabaaacaababbcbabbacaacacacccbbcbcbaabbacccbcbbccacaaaaacccacaaaabbabbaacbccbbbbccbccbbbcacbcccacacbcacccabbaaacabbaaacbccaabaaaaacacaabcaabcbbbaaabaaacbaacbbbccbaacacbcbcaacbccabbccabbaaccbabbccccaccacabcbcbacabbbabababccccbbbaccccababbbaaabaacacbccbcabacbacacbaabbcbcaacccbaabbbbcabaabaccbabcccbcaaacaccbabbabbacbccaccaabbbacaacbacaccbabcacabbbbabaabccbcccbbabaaaacbcacccabcbaacbccabccccabbacabaacbcbbbabcbbaabccbcaccacbbaabcbacaccbacbcbbaabccabaaaccaabcacccaabcacbbbbcbacccacbcbabaaacaaccacabccacabbbbbacccbaccccaaacccccbbcbcbcccaccbacbaaccacacabbcacbabbcbabcacaabaacbacbbaaaccbaacabacbabccbbaccbbacbaccbcaabbbabbaaabbacbbcacccbaacccbabcabacbbccbcaabcccbccbaacaccabccacbbcccacbcbacabcbcacccaacaabccbaabbbbbaacaabcbabaabaabaabbaccacccbcccbbaabcabbabbcbbbcbbcaaaccababacbaccbbbabacabccacabcacaabcbacacabbbaaabccaabccaaccbccabcabcbaaabaabcccbbcabcabcbbbabcacbcbaccbcbcbbccbaabcbabcaaccccbcaabbacacaaacabccccababacccacacaaaaaacbbaababbaabbacccabccaabaabcccbbabbacaacbbbbbbcacbbbbabcbabacbcaccbcacacaaccbbcbaacccabccbaaaaacacababccabcbbcaaccbaaabbbaabaaabcacbaaaaabcccbacbcbcacaaabbcbbcccababaaaaccacbbcabbaaccbaccbcbcbcccacbccbcbaabbbcbaabbccbabababccbaaccacbcacacbbabccccacabbaabbbccbcaaccaacbbbaaaccbcaccbaabcbabaaaabababaccbbaaaaabbccabbcabbabcbcaccccbacccbabacacbaacabccbbbcccabbcccbcbcaababaaacaacacccbbbacbccaaacbcbcabbacbcccbccbbabbcbccccccacbbabaaccbaaccaaaabbbbaaccbccaabbcccbbbcbbbacbccabbbcacaaabccabaabbccacaaabaccbbaacbaccaabcabcccccbbabaabcbcabacbacbbaabbacaabbaabbcccacaacccbcacccaaabcacacbacacabaaaaabccaaabcaaacaabaaabaabbcbbcccaacaacbabacbcbaccbaabbccbaabaccacbbaccbbbabcabaabcbcaabaacbbbbabcbcbbbbaaccabbbacbababacababbacccbcbaababbbbcaccbaacccbccbbcabaaacacbccabccbabbabccbcaaaabbbcbacbcbaacaabbbcbaacbaccccccbccccccabcaccbbcabcbbcbaaabcabbcbccaaabbcabbbaacabbbaccbcbccabcabcabaabbcaaaccabccabcbababbaabcbabacaaaaccaacacbccbcbcababbcaccaaaabcbaccbbbbaccbcbabbacbcacaacacbcbbbccbabccaabbcababcbcbbaccbbbcbcaccacbccabaccbbbaabccaaacabaacabcbaacacbaacbcaababbbbcbcbcaaacbaaabcabcabbbcaabccacabccbabacbbccacabbcbcbbbaacaccabcabbcacaccaccabaccbacbccccbaabaccbbaaacaaacabbcabaacbaccbccbabcaabcccbcababacabcbabcbcabcaccbbabcbcbaabccbbacbcccbbcacaabbbacaabbcabccabcbabbbacbaccbccbbabbaaaaaaccabcbbcacaccaabbbacacbaacaacccbcccabbbbabbacaabaacbcbcaacbbcbaaabbacbbbcbbaaaacacbacababababcacbabbaacbababccccaababbcaccbaabaaaaabcbabbaabbaccaabaabccbcbcabcbcbcbbcacbbbbccbcbbbabccaabbcaaabbcabababbbcbbacbbaabbbbaabbcccbcbccacbbbcccaacacccbbcaacaabcacaacabbbaaabbcababbbbbcabbcabcbaccaabccccbcbbabcbaabcabaccaaabbaaacccbbbbbacaabacbcccabababbbcccacbcabcaccbbabbcbcbaacacbabccbbbcacbcaacacaacaaacbacbbaabbcccbbbccaacbccacaaaaabbabccaacaccccaabcbcbcbcaacabbabbacacccabababcbaaacaaacbbcccabcbaabccccbcaabbaaababccabbccabbaaaacabbbcabbcbbacbbacbcaabccbbabaaacbaaacbbcaacababcbabcaaaaccbbacaabcababbbccbaaccbcbababaaacbabcbabbbcabaabaabacaacbaabacbcacaabbcaccaaccbbbbaabcbbcbaabccbbaaabacbbabaacaacbbabcccbbcbcccbacccaacaabaaabbcabbbaabbabbbccccccbbcccabccbcccccccabcbcbbbacabacbaccbcbbccbbcbaabaaaaababbbabbccccbbbbcacbabbbbcaaaccccccbabacaacccaabbcbcbbccbcabbbcbabcbbabaabcabaacaccabbacaccbcccbccabbbbcaacabacabcabbbacbacbabcabbbcaabccabcacabbcbccaabacaacbcbbbaabbcaacaccaccaabbbbbacacabcaaabaabcacbbbbbcbbbcccaaacacccbabaccabbccacbbcabaaabcaccccaaacbcabaaabacacbbcccbacacabccaccbacbccbacaaccbbcacaaccccaabbaacbbaaacbccbacccaaccbbaacbcaacccaabacbbacacaaabacccabbccbcbacbbcaaaabbaacbacacbcccbacabbcccbacabbccbacccbbaacacaacbbbbcccbbbaccabacbbcbcacabaacccbbaccbcaccbbcbccbabacccacbccbccaaabaaaabbacbbbcbaaabbcbcaccccbbbacbbbbbaaccbacbbaabcbaacabbcbcaccccaacbbabaaccabbbbccbaaabaaacaaccccabaacaabbcbcabbaabaaaaababaaccaccbcbaaccaabbccaaacaaaaabcbbbccbcccccccaacbccacbcccbcabbcabcbccbbccccabcbbcacabcbcacbccabccabbabaaccccbcbbaacaabccccaabcacabbbccbbbaaccbacaccbacaaaacbbabbbabcacbcacbbbcabaabccacaccccababaaaccbbbcacaabcacbcbcbcbaaaaccacccccccabccabcccccbaacaccbccababcbcaccbabcacbcbcabccacbbcacacacacbabbacaaabaaccccacabbaabbbbbabaabaaabbbcbbaaccaaabcccbaccaaccbbcaccaccccaccacbbcabcbaaabcbbbcccbccaccbccabbccacaabcbcbcababcbacccaaabbcbaabcbbcaabbbbabcaabbccacbbcbccabbacaccbcbcbacbacbacacaabbaacaccabbcbccacabbaaabcccbaaccbbccacbcababbbccaaacbabaaaabcbcbaacacccaccbbbcaacacaabbccbabcccabcbabbcbacccbcccccacccccababbaacbccbbacbbccbabccabababaaaabccbcbbccacbaaacacacbccababcaaccabaaaabaabbaccbcaabbbacccaacbcbbbcacbacbbbcccbbacabbaaabbacbcbbabbcbcbacbbccccccabcabacbcccbaaacaabcbbaaaabcccabacaacabcacacccacabbcbbbbccabcacabcabcabbbcbccaaacbaabccacaccbcccaacccbaccbbaaabbaccbbaccbabacbccabbaacbaabaccacaabbccaabbccaacaccbcbacbacabcbbbccabccaabbaccacbcbaacacbbccccbcccaaccabcaabbcbcbabbbacbaacababbccabcccbbcacccbcbbbacccbcccbacbbababbababcabbbbbcaccabbcbccbcabbaabccbaccbbcaabbaabbcacaabaabbbbbacbaabccbcaabbccbaaaccbaaaabcccabccaacaccbbbbacccbcacbcacabbcabcbbababcacbaacbaacbccaccabbaacaabaccabbcbaababbcbcaccababcccbcbababcbaccabcbabbaaabccaccbaacbacbcabbbaabcccbbcacabbcacacccbacbbacbaaccbaaaacbcabaabcbcaaaaccabaaabcbcccaabaaccbbbaaabcbcbabccbacaabcbcbcbbbbcacababbaacbcacbbbabcbcbbabacabcbbccbcbbbccccacbbccacbccbaacaaaabcabbbacbabbbabbbccabacaaabbcbbcaacaaabaaababacccbbaaacbccaaabcbbaabacaacbbacbaaacbaccbcacabcbccbbcccaabcbccbccacbaacbaaccabaccaacbcaaccbacbabcabbbbbbaabaacabacabbbccaccbcabbacaacabccbbaacabcabaababcabcacbbcbaccabbaabbaaabbcbbabbccbcbaacacacccbacbccbbbbbbaccccccbcabccbbcacbbcabbbaacababcbcbaacccbcaaabbabaaaaabcabbaaaabcababbabaccbaabacbccabaaaabbbcaaaabacbbcbabcabcaccbbbababaacbcccacbbaaaccbabbbacaacbacaabbaababcbbcbaccbbcabaabaacacbbaacabacaaabbabccaccbcbcacbbcabbbbbbbbacbcaaccabccbbbcbbabaaaacabaacaaccbcbcbcbccabacaaaabcbbacacaacbbbaccccccbacbbbcbaabbaabbaacbaccababcaabbaabcbbcbccacabcabcbaccbcbababcacccabbcbbababbacbbbabcabbbcbabcccacacacbbbacacabbabbcaaaabbbccccbccccacbacacaccbacaaaaacbabcaacbaabbababbabaabbbacaaabbbcacabcaaaacccabbbbaaaccaaaaccbcababcbbcabcbaaccbcaacbbabcaabcacbccccabbcaaaaaaaabaaccccbaaaacccaabbbbbcacacabcccaaaacabbccbbbcabababbacbcbbcbcccabcababacababbbcbccabcacbbbaaaabcacacaacbcaacbcabbbaaccaacbbbcaacaccbaabbbbaaabaacbacaaccbaccbbcbbabcacababaabcbbbcbabcbaacbcbaabbccbbbbbaccaacbacacbaaacabaaabacbcacabcabaabacaacbabcacbaabbabbbcccaabcaabaccaabbbcbcacbbaaacabcccaccacbcaabaabcccabbbaabcbbccaabbbaacbabacbcbbbabbabacacccaaaacbbccacbcaccbbccbcbaabcccaaccccbbccbacbacccbcbaabccacbaabbccabcbbabbabbabccccccccabbbbcccacbcabcbabcaccbcaaaabbbbbbaccbcbacacbaaaaaccabbbcbbcabcaaaaacabcccbaacabcabbcccbcabcbacbccacaabbaccbbbccbabcccaabbacacacccbbccbabccaaaaabbccacccbbcbabbccbbbccccbabaabbcbbbaccaccccabbacbaabcabacbacababcbcaabcacccabaccacaaacabccaacaabcabbbbcbbbaccccbbcbbababbcbbcaacacbcbbcabcaacbbcacabbbbcbccabbccabccaabcacacbaccacccaccaaacaccbaccbaacbabbbaaacabcccbbacacabababacbccbabaaaacacbcaaaaababcabaaababaaabcbaacbbabaacacbaabbbcabccabbaacacbbacccaababacaacbcbbbbabbcccbbcbbccccacbaaaaacacbbaaacacbbaccbacaabcabbbcbcabaccabcaaaabccbcbccbbbcaaccaccbcbaaccbbacacaabaaccbabccccbabbbbcbbacaaacbaccbacaacbcaacacbccbbabbcbbaabcabcacabbbbcabbabacbbcabcacbaccbaababbbaccbbcabaacccbbcaccbabccccaaacacaacaccbcbcccabaacabccaaaccbcbcbbcbbbabbacbbabbbaaaccbcbbacbaaccaccacacbaccbcbbcccccccabbbbbccabbacaacbcabaccaaaacaaacaaccacabaacaababbcbcccacabcacccababcbcabbacbaacccbcacacbccacaabacbcbaabbbbbbbabacacbcaabbbcabbabacbcccbcaabcabccabaaababaaccaaabcccbaabccccacccccbbccacbbcbcababacbbbbaabcabacbbabaabccbacacccbbaabacabaabbbbbccaabbabaccaabaccbcbccaabcbcbacaababcabbcbabbaccaccacbbcbbabcbcaaabbacaabbccabcabcbbbababacacaccbaccabcabaaaccbacacbbcbbbbcbaaacaababbabaaccacacaacbbbbbbcbacccacbcaacacbaaacacbaaccccacacccabcbabcbbcbcbcabbccacbacbaaaabbbbaaaabaabbbcbaabbabcbbcbcbbbaccbbabcabacaacaaabbcaaaaccabcaaaacccaacaabcbbabbbccacbacaccbbccbcbbccbccccbabacbbbacbbabacbbbaaccaccaaabcaacacacbaabbbbacbcaabaaacbcccbababbcbaabacababccaccabccaccbbbacaababbaaccbbababcabbbcbbaaaabbcaaacccacccbcbacbcaaabbcaccbbacbaccacaacbbbcabcbabbcbbbaabacbbccabaacbaccbaaabbbabaaabbacbaccbbbcaaccbcbbacbbbbacabbcbcabcabcbcababaabcabcaccbccababbcbbcbaabbcbcabbbcbcbbbbbbbcaabccaabaccbbbcbacbbcacabbabbacbbaccaccccabcabcabbccbcabacababaccacbcaaaacbaabbbbabbabcbbacbcaacbcbaaacaaaacbcbbbacacbcbabbcabcaacbbcabaaacaaaababbbcbbaccacabcbbaaacccaacaaabcbacbbbbcbcacbcacbaaaaacaababccbacaaaaabbbbbacaabbacbbaabcaacbbcccbbbbaacabbbcaccabbacccaaaabbbbbaacabccbcabccccccabaacccbbbcabbcccabbcbbccaaabbcbaabbaccbcaabacbcbbaacccbaaabacabbbbacccbaacabbbcaacbcccbabbbbaabcacaacaccbabbbccacbccaabcbbcbbcaccbcaaabcaabcabbbbababbbbbccbacbcbacacaaacbbabbbacbccbaabccbcbbabccacbbbaabcbcccaacbbabbcccabcbbcabbbabcbcbbcaaaababaccbbabaaabccbacacbcbcabcbcbacacababbbabacbcbaababbabccbbaaacaaaaaccaacaabacaababbcbabacacbbbacccabbbaaacbacbbacabbbbcabcbaccabaacaaabbacbbaacccaaaaaccbbbabcccbccccbabbbccabacabaacbacabccacacaabbcccccaabccaacbabbbccccaacccabbbbcaacacbaababacabbbcbaababcabccbbbabbaccbccaccaccccbcabbaabbbbbabaabbcbcbabaaccbbbabaaabaaaaccaacacabbcbcabaabbccaaabbbaacaacaababacbbccabbbbbcababccccaabbbabbcabacaccbcbabbcacbabcacbccaaabcabcacbccacbbbaacacccacbbabaabcacababbcbccabbacbabcccbcccbabbccbbaccbababbcacbbbcbaaacbbaaccaabbacaccbabbbcabbaaaaccaacacbcccbabababcaaccbaccaaaabacbbbacbcccabcbcacbacaccbbbccabbbbaacaccbcbcbccbbaaacbbabcacacacacacbaaaccaaaccbaabccabcaaacbccbcabbacccaccccccacbbbabbaaacccaccbccccccacaaabbacacbbcacbbbaabacacbbaccccbbbccbaaaccabcbcbcbacbaacbbaaabbacbcbaccaabcabaccaacbcbababaabccccbcbaacbabbbacbbacaaabbcbccbaaaacccabbaaccbcabbcaccabbcabccacbccacaaccbaabbbacbabbaacacbbbbaabcbcbbbbaccaabcaccbccccabbaabaaccccaabbaacccacaacacacbccaaaccbbabccabbcabcaaaaaacaabbacaaabbcbbaabbcacaccbabbcababcbccabaaabaacbabcbbaaaccbbccccaabcbbbbabaabaaabaaabbbcccbcabbaacaacbcaccaaccbccbcccaabbbaaabccaccaccbcccacaacaaabaaaabccbcaaccccbccbcbbbcbbcaacbaaaabbbcacbcbaabaaaccbbabccccbacbbccbcaabcccaaaabcbcbcaabaabcbacbbacbbaabaacabccaabbacbbcbcbcabbcaabcaccacccaacbaccbaacbcbcabccccbcacabbcabbcccbabbaaccbcbcabacacbcabcbcacbcaacbcccbcacaaacaabcbcbabccacaaccbaabcbababbcaababccbaabcbcbaacbbcaabbcbccacbabcabcacccaabacbbbbabcacaaaacbbacabbaccacbbabccbcabcaabaacabbabbcacabaacccabbbacaaaabbbcbcacaaacbbcabbacabbccccbaaccbccbcbbaabaaacbaabbcaaabccaaaccbacbabbbbbacbcbbbabbabcbacaccbababbcbacbaacabccabbcacacccaabbacbaccbcbabababbaaaaacacccabcbaabaccbaacaaaacbbbccabbaacbccbabbbbcccbcabcbcccbcbababaaacabbabbbcabbaccbcbcbaccaabcabaacbaaccbbcbcaaaacbcbababcccabbbbcbaaccacccbbcbbabaabbbbaaabcaabbcaacccacaababcaacabbcbbaabbbabbaacaaabbaaacccbbcbcabbbabacbcbacaabaaaaaaacbaaabbcbbcbcaacacbcabccbabaacaacbcbbaabccccabbbaababcccbbcbbbcabaccaabbbbcacaabbaacaacacabaacabcbabababcbccbbbcbbccacccaabcbabcbaaaaccbccbaaababbcaacaccacabcacacaababbabccccaccbcccaacacacabbaaaababcabccacabbccbabccbaabcbabbbacbacbaababcacabcccbbcccababccccbbaacbbbbaacbcacaccacacbabcabbbccbbbbcbbaccacbacbcbabacabbcabcacaaaabcacaaaccbccbcbabccbbaabaaabacacbcccbacccabaaacacabaaccccabbcbcabbcababacbccacbcccababcccbbcaacbaaaccacbbbbcacabbbaacbaccaabcccaacaabbcbababbbababaabbbbcaabccacabbaabcacabccbabcbaaaccaaccbaacbaacccbccbacabbbcccabbbcbcbcbcacbacccbcbcbcbcacbbabbbcacbbcbabccccbbacbbcacaaabacabcbabcacbcabaabaacbcbcbabbaccbbcbacaabbbbacccccacbaacababccccbcbcaaaaacbbbbbcaccaaccbcaacccbbbbbababcccbacaacbbcbccbcbabcbccabbacbccaaabbbbcaabcbaabbbbccabcbbacbbaabcccccbccacabaacbacbbbacaacaabcabcacbcbbbbcabacacabcbacaabbbbcbbbabcbcccacbbcbccacbcbaacbbcbbccaaabcccbccbaacaacbbcbacbccbcccacaabbaaacbbabbabacacaacbabaacaaabbbacaaaabcbaccaabccaaabbcbcbabaaacbaaccbbcacbbccababaabbbaccacbacaabcbabbacbbbbbbcacbaacbbcbabcacbbacbcabcacbaabbcacacacacbcaccacbbabbbbccacaaaacbbacaacaacacaabbaaabbccbcaaccbcbcccaaacabbbcaaaccbbacaabaabacaccbcbaccbcbbbaacaabaacaaacabcbbccacbcbaacabacbabaaaacccbabaabcaabbbccbcbcaaccbcbbbccabcbcbaaacccacacbbacaacabcacaacccaccaacaccbcbacabbccacabbbaaaacaabacccabaccbcabbacbbabcccaababbbbacaccbaacbaccacbccbcacbbbabbcaaccbcbaccaccbbbaccbabcaabacbbbabcbbcabccaaabccccaabcbcabbabcbcbcbcaaabaababcbabbaacabbacaacccbbccaacbbabccbaaabcccaccbcacbbabcacacccacbbbbccaccaabbcabcabbccbaacccabccbccbaabaaaaabbabacbbccbbcccabacbbbacbcabccacbabbbabcabcacbbbbbbabcccaaccaccbaacacbacaaacbbbbabbabacbaccacbcaabbbbcacacaabbaacccabcbacbbaccacabbbcbbcbbccacbcbbcacaaaacccbaaabccbabcbbaacacbacbaabcccaacbbcabcabaccbcacabacbaabccbacacaaaaabcacacaabbcabbacaacbcbaaaabbbaacabacaaabaabbbccbcbaababbcbbcbacacccccbbcbaaacccaaabccbbcbacaabcccacbbbbbabaaaabbbcaaccaabaaaaacbbbaaaacccacbbccbbccacbaaabacabcabbacacccccbbbaacaccccbbcaccbbcababcbaaccabcabbcaabababaccabccabacbcbaaacabbcababcabababbacabbaacaacaccabcbbacbcabccbccbabababbbacbcbabbacccccaaaabacbacccacbacaaaccababcbcbbbabcbbbaaaabcbacacbbcabbcaaccccaacbbccbccaacbcbbcbcacbabbcabcbcbccbbbabacaccbacbabbbcacbccbbcccacacaaabcbcbcbabcabbcbbabacbbbaccbbcbbaaaaacabaabccbaacacaaaabcaacbabbaabccaaacaccacccbcaaacccccabacccbabccbacccccaaababcacbcccaaccccacaaabbbccaaabacbcaabcabcbbabcccacbaaaaabcccccbababaccbaabaaabcbabbacaababbacaccbbacacbabacccaccccabaaabaaccabcbccbaaabacaabacabcbcaabcccaabcabccbbbaacccaacbbbaaabababcbcaccaccbcaaaacabbaabbbccbccaccaaabbacaabbcbabbacbaaacbaaacbbbcaacaabbcccbcccaaacbcbacababcabaaccbbbbcccacacacbabccaccacaabbabcccccacbccaaaababcbbbbacccbacabccaccbaccbcacccbaaacbcaccacaaccbabaaacbbcabbabacbcabaabbccbbaaaaacbcccbbacaabaacababacabcbabbcacbaccbabbaaccbabbccababaaaaccccbcaaaacabbbcbcbababbbcbbcabcabcbcaacbcccacbccbbcabbaabccbbaccbccababbacbbbcbccabbaccabbaaababacbaabaaaccccaaabacbccaaaababbbacbacabbcaacacbbcabbcbbcaabacabacccbbacabcbcbaaabbccbcbacbbbcbcbaccccacbaaabbcaaccabbbbbbcaacabbcbbcaacaacccbaccacccaacacbbbcbbaaaaabbcaabccbbbacaabcbbcccacabaccacacbbbabcbacabacbbbbbcbbbacabbbbcabcaacbbbabaacbccbbacbcbbbcccccbbcbcabcaabbbcbaacbbbabbacbcbabcbabbbcaccacccacbbaabbcbabaccbaccacbbbbbcbbaacbbbbababaaccaacbacabccabcabbcaaacbbabaabcbbcabbaaaabbcabbabccccbcbabaabcbaaaacbbbcbcbcbbabccabaabbabbaaaabbbcaacbbaccbcabcbbbbbbabaacbbacbbcccbcaccbbcabcacacabacacabcaacaaabacaababcabbcaaacccbcaccbbcbccbbaaaacaabccabbbcbbbaacccaacbaabbccccbabcaaacbbbccabaacbcacbbbabcacccccabbaabababcbbacabcabbacbabbbbbcbcbacbaccbaaababacbccbcaaaabcbacabacabbaaabccaacccacccabaacbbaccbaaaaacbbbabbbacbbacabccccbaabcacacaabbcbccbaabbbbacbcacbaccaaccbabcbcbcccbacbccacaabcbabcaaaaaabacbcaaacabbabccaacbbcaabbbcbcaaacbbbbabbccccbaaacacbacacbcbbbcbacaaaccaacabbaacbccbabbacaabbabaacbacabaacbcabbbbccccaccccaabcabcabaaabaccbabcaabbbaccaacaacccacbcaccbcccbaabaaaabcbbbccbccbabcacacbaccacabccabbbbabababccaccccccaacbcacbbbbbabacbcacacabbcccbcabccbcacbcaccaacbcaabcbaaaababbcabccabccbaccccbacccbcaabababccccbabaaccababcaccacbbcababbbaccbcbcaccbbaaabaccbbabcaccccababcacbcbbbacbbccaabcabbacbaaabbaccaabacabcbbbcaabbabcbcbccaaabbaccbaaaaabaabcccaaccbaacacabcbaabbcbcbaabcccaabccabcaacacbbacccccccccbaabaabcbaacaaacbcccaacabacbbacccbbabcccabaabccabcaacbcbcbaccbccbbaacacabaacbcacbabbccbcabbbbababbbcabacabcbccccbaabbaccbbaabcaaacaacbacbbcbaccacbcacacbcbbaabccbcbaccbcbcbaccabccbbabbcacacaaacacbcaabbbcbccbcbcccbacbaacbabbcabaccbbcbabacabababaccbaabcaaaaccaacbabcbacabaabcaaacccbabccccacbcccababaccabaaaabcbccaaccbabaabcabacbacababcbaacaabcbaccabbcbabaacccaaaabcbcaaabbbcbccabaccccbabccccbaaccbcccbcbcbacccabacabaacbccbcccbabbbaaabcccbcaaccccaabbaabaabbccabbbaabaabcccabcaacccaacbccabbabcabaabbbacccccbcbaccbcabbbbacbcbbbcabcabcbbaaabccccbcabbcbbacaacbcbcbbacbaacaacccbcbabbcaccccbaccabacabcbaccacbcbaaacabacbccabcbbaaabbcbabbbcbcccbcaabbaccbaacbbbbbcccbcabbaabcccabacbbccccacabccbbcaacaaaccbaabbacbaacacaccbcccbcbacbcaccccbcbbbbaaacabcbcabbcbabbcaacacacbbccbaabacaabacaccccccaaccccbcaabbaacacbbcabcccbcabaaccbccbabacaccacccbabcbacbbabbccccbaccabbbcbbbabaabaaacababbaacacacbbaacacccbabbacacbcaabccbccbaaaaccbccccabbccccbcaacbcaccbacbacabcbaccabaccaacacabcaccbaaacabcabccacccbabcbcabbaabacbbccccbacccbaaababcacbcbaaaaabbcabaabbbbacaccbcabababbabcacbbccbcbbbaabaaccaaccacbcbcbabbacbababbaccacbcbbacaaabaaaaccbbbcaaabccbbcaabcaccbabccbabcbacabccabcbacbcbbabbcbcababbabbaababaccabbacbcbbaabbbaaabcbcccabaaacaccbcccccbbabababaaabaccacaccbacbcbabcbbcacbccabbaabbbcabccbaacacacbcababcabacbbcacbaabbbbcbcbcabcbacaacccbcabaaabbacacccabbcbaabbaabbbaaccacccabaacaaacbccccaccbcbbacabbaaaaabbabccaccaababcbacacbcaccbbcaccccaccccbacbbccbaaabccacaabbabcaacbbcccabcccaaaabaccbabbcaaaccbccababcacbcabcaaabcccacbccaccaacabbccccbcabccacccccacccbaabbccbccbabaabcaccbcaabcccacacbaccbaaababbcccabcccbcbbaccabbabbbcabaabccbabaccabacaaacaabbbabccbccacaabbcbbbbbababccbbabcbabcabbcbcacbccbbaabaacbaabaaaccacbabcbabaabbaaaacaabccacabcabababbaacbccbaabcaabcbacbcacccbbacccbbcaabacbbbbacccbcacababbacbaacbcbcbabbcaabcacaacccbcabbbbcbaaabaaaabacaaacaacbabbaababaabaabcaaabaacaacacbbcabcababbababababaaaccaaabacbcccaabbaaabaacbbbcccacacacacabbbccbbcbabcacabbccabbbcbbaaaaabcbbbaacbcbaccccaccbcbacbbbcccbaaaabcaaaacacacbaaaabacbbbccbccbacacccacaccbccacabcabccbbaccbaccbaccabbcbaabbcaaabcabcaccabaabcacabaacbacaabbbbbbcbacbababcbbabccbabbbbaacbcbacaacaccaabccbccaaaabaabbcaababbbbcabbcaacbaaacbccaaaabaacbaabcbaabccbbbbaaabcbcbbcaccbcaaabacacaaabcaacacbaabacaaaabbcaabbcccbabaacabbcaaabccbbacacbabccbcabcbccbbbbcacabbbccacabaccaacccabccbcbabbacbcccabaacbcacaabaacbacccbcaacbccccbbcccbcbacbccbbabccabcbcccbbaaacccbccacacbcaaabacaaccccacbbbbbcabacccabccaacaaccccbccacbabaaaabbbabccbbccbabcbabbcbacbbbcccaaabacacbacccaaababacbabbababccabbacabbaaccbccaabacabcccbbccbbbabaccabbcbaababcacbbbccccacabbaabcabacbaccaaaacbcbaccacaaaaacacacccbcccaabaaaaaccbacbacbcaccacbacbbcccbbaaabbcaabbbbcaaaabcacbbaaaabbbaccbbaaabbcacbccabbbbbacbacaaabccbcccbacabbbabbaaaabbbcabcccbccbbabcbaababacbabbbbaccbaabbbaacbbccbbcccbbbbbccabbacacbacacccacbaacacbcabbabccccaacccccbaaabcaabcacbabcbacbabbbbaaaabaacacbbcaacbabbbaaccbbabcacccccabbabaabcaaccbaaacbacbaacacaacabcaaabbccacbcccbcccaabbcaabcacbbaacccbccaabccabccbaacbcaacbbbccbabcabcccabbccaccabbabcaaaaccbaacabccacbccaacbcbabaacbbccbabccbbabbacabccccccbcaccacbbccbbacbacaacababcccaaaccbcaaababacabcbbbcbbbbbacbbbcacbbcbacbacbaaaaabcbaabbbccbcabbccbaaabcacbbbbcbaaaccabbaacbbccabaccbbacbabbbacaaaaaabacccbcbabacbcbbccccabcbcbbbbcbacccaccbaaabaabaccccbccccaaccaccaabcbabcaabbaaabccaccacbcccbcbcabcbbccaabbbcbcaabbcaabbcbcabaacaccabbbbacbaaccbccbcbcaaaaabcabbbcbccaaaacbbcccaaccaacacbcbabbccaaacabbbacbaaababaacccababaaabbccbccacacccabbbcbccbabcbbcbabcabaccaacbbcaaababaacbccacbcacaabaabbbcbcabccccbbcbcbcbcccabaabbbaacbbbbbcbbccaccbcccbaccacbacbabccbbbbcccbbbcbaaabacaaccbbccaabacbaacbcbabbabcaabcbbbaaaabababbaccbcaabcaabbcccbbacaccabbaccabcaacbacbbbccccbacccaccbbcacacccbbacbbaaccaaaccbacaabcbcaccabacaaacbacacbcbaccbccbbaacaacbacbaabbbabacaaccbcbababacbbcbbcccbacbbbbcbccabcbabaacacbbbacaacccccaaaabccccacbcbaaabcacabbabcbabcbbacbbbaccbcccabaacacabcbccaaacccbbababbbbcbbabcbbcbcccbbbbbbacbaacabcbbbcaccbbbaccbaaaccbababcacbcbaacaccaacbaaaccababbabbcccccacacaacacbbccacbbcccaacacacababccbcbcbbbacacbaaababbabaabbaccaaacbcbbbbbacabcbbcbbcaccaccbbacccbaccaabbbbbaacbbabbcbaaaccbacbbacbaaacbbcbccabcabcabacbaabaccccbccccabcbbaaacccacacabbbaaabcbabccacbcabacaacccacbabcbccacbbababccabbcbccacccccaabbacbbaaaaaaabbbcccbbbaaccbbaaabcbccbaaacabbaaaaccabaacabbccacbbbccbbabbbaccbabcbabccaababaccabacaabbaabbcabccabccacbbababcaaabacbaacbcccabbccbacaaccccccaaabcccaaabcbcaaccabcbccaacbcbacacbcaacbcbccbacbacccbbacbaabbbacbcbbacbbacacabbcaccacacbacabccaccaacbacabbbabbaabbcaccbcabaacccaaaccbcaacaccabbccbbbcbcacacabcbcabbcabcaaabaccabbbcaacabcbcaccabccbbbbccbbabcbabbbaaaababcaacaacbcbbbbcabccabbcbcacbbaacaabccbcababbccccbbbabbabccbbbabbbbccbcbabcabbcbabcaccacabcaacabbbabaacaccaacbcbababbcbabbbbacbccaccbbacaccaaabaaacacacabbbcbbbcbbbbbcccaaaaabbabcbcabcaaabbcbbcbbbabbbbacbaccaabbccabbcccbbacabbacbacccacbacaccacbccaacbcccbcabcabbbabccccbcaabcacbccabbbabbbbbbbbcaabcaabbacccabacaaaaaccccbabcabaccccaccbaaacbccacaacbaacabcaabbaaabcbcccacaccacbbbbbabcbabccbabbcbbacbcccbbbbcacbccabacaaaccaabaabcccbabccacbbcabbaacccbcacbcaabbbacccbcccacacabcacbccbabcbccaaabcabbcbbaabaccbacaacbbcbbbbbcabaccaabbbacaabbacabbbaaaabaaaaacacaaabababbacbbbaacccbbcbbaccaacbcabcacbbcaaacabaaaacccabcbabcbccbbaabccababcababbabcbabbcbcccbbaabccaabacabcaccabccababbccbbcabbacbababcaaabcabcaaaaaabcabacccbbaaabaccacabccbbaccaacbcbabaaacbbcbbbccbbbaaaaccaaacbacaacabcaabcbaabcabaaabbcaababbbabbbbbbcacbcaabccababccacbcbabacbcccaccbabbaaacabccaccccccbbababcacaacbcabaabbcbabaacacbbccabbccbabbabbbaaaccbbaabaababacbabaacbaccbbccaabbbaccbaacbcacbababbcbcccbcbbcabcaacabbacabcabccccacaaabcacabcbaacbbbcaaaacabbbbabcbbcbcabbaaccbaacbcbcabacbccbccbcabcbccbaabbacaccbbabaaccbcccbcaaaababaacbcccbbbbabcbcacabaacbccbacccabbacbbcccbbabaaabaaaccccabcbccbabbbaccabacbbacbbccbacbbbcaacccccbcbacacaaaacccaabcacbacccabacbbababbaccbacbbbacabaaaabbaacabbacbbbacbbbbaacabbaaabcbaaacbbabccccaaacacaccaabaacabababcbabcaababacbcacabaabbabbaaababbcbbbbbcaacaccbacbcccbbaaabcccbaaccaabcaaacbbcccbaaabaccbbcaaaacbabbcaabababbabaccbabaabababbccbbbcaacaacbacbacccbbbabaaaaaccbaccabacbcbbaccaabcbbcbbcbcabccabcbbbcaababbbccccbacbabbcbcbbcccaacbcabbbbbacaabaccbcbcabcbbbabcabcbcbabbbaabbaccbacacabbaccaccbaaccbbcbacbccbaccacbabbabacbcacbabcacabaaabcbacbbacccbbcbabcbbaabbcaaacabcbabacbaccabccaaaaaacbcbbccaccabbabcbbcbcccaabcbcabbbbbcccacccacbaaacbbcababaaacacbbbcccbaacabcbcabacacaaaaabaaabbcacbaaababccbcbabacbcbbbacbabcacbbccabcaacacbcbaaaaabccabcccbaaacaaaccbbaacacbccaaccbabbcaaacbcbbccccbaabaccbcbacabcaccbbcbcbaacabbbbaccccacbccbbbbcbababcbbcaaaabccbaccacbaccbacaccacaaabacbacbabbcccaabbaccbaccbbaacabbacaaabcabccabcbccbbbccaaccbbcaacabbabaacbcaaaaacacbcbaacaaaabcabccbcccbacabccabcccbcbbaacbccbbaaacabbaacccaaccacaabaccbbbbacaaccaaccbaccbbabbbbccbbcbbcaaaacbbbacbbbcccccaabbccccabaabcbbaaaabbcacacabbaaabcbbbbcbbbccbbbaaaabaacbacabacabbbcbabbcababccabbaacbbcbaccbacccbaabaabcaacbacababcbccbbabbbacabaacbbaabbcbaacbbccbbbabbcabaaabccaabcacbccbaabccbbbbacaaabbabacbcbaaacccbbacbaaaabbbcbaaacbccacbccaabacbcaacaaccabaacacabbccbbcbbacccababcbacacbcbbcccaaacabbbcbacbccbccabaaaacaaaacbaacaccaaaaabbacccaaaccbcbbbbaabaaacbbccababaacbacababbaaabcacaaaccacbacbbbaabcaacabbaccaaabbacacccbbccbcccbbcccbbcacccbccbaacacbbccaabbbaaabbbcccbcbaabaacabcccbacbbbccbaccbccbaccaccccaabacccacabbaacbbabcbacaabccbbabaccccbcabaccbcbccabbbbaccbcabacbbaacbaaacbccabcbabccbbacccacaabcbbacbaaacbbbababaaabbcababaaaaaabaccbbcbabccbacabaaccbcacbaabaacacbcaaaccbcbccbbacbcaaabaaaababcbccccbccbcabcabaabbbbbbccbbbaccabcccacbccbabacacaacbbbaabaacbccbaabbaccaabacacbabbacbabcccbabbbcbcbccbaccacababbbacacbaaccacbccaaaacbccaabbabbbbaaabbcaccbabcbbbbcaccbcaacbaabaabcbbcacaabaaaabccabbaacbbabababaccabacbccabcbacbbbccaccaaaabbabcababaaaaabbcbbaccbcaabccacacbcbccccaacaaababaabbbbccabcbbacaaaaabccbcccccbaccbacaaacbcabbcabccacabccccbcbaaaaabbaacbbacabbccbcababaaaabbaaaccccbbccccccabbacbabacbabbabacabcabaaabccabbcaccbbaabbcccbaccacaccaacabbcbababcbbaabbbaacaabbbcacccbccabbbabaaccbcccccccabcbabaaaabccabbbaaabcaabababbbcaabcbbacbbccaaabaaaacacbbacccacbcbccbabcaacaaababbacababcabccbcbcacbbacaabacbbbbccababbbbbabcccabbaabacbbccaccbaabacaabbbbbccbbbabacbcacacbcbcbabccaacbbcacbbbbccbcbacbbcbacbcaccacacababccbcbccaacabccacccbabbcaaaabcbcbcbabccbcbbcccbcaccaabbacaccabacacababbaaabaaccbacaabbabbbababbaacbababaabcccbccaabcbbacbcabcbbacbcbabaaaccabbbccccacaaccaaabccbcacbbacccbcbaccabcaacaaacacbccbaabbbcbbccacabccbbbbcaaccbbabbcaaabbababbbcbbccaabccbccabccbacaaabacccccabcaaabaacaccacbcbbbbbcccaabacabbbaaaaabbcaccabcaacacbccacababbaaababaaccbbaabccacaabbaaaabbabbccbcaaacacbbaaccaaccbabacbcbaccbcacbcbcbccbabbcbbcbbbacbcbcaaabcabaccccaabbbacbcacbaabbbabcaaccacbbbacccbabbbbbbcccbbaaacbbcbbcbababcccacccaabcbacaaabacbabbcbacabaaabcccbcbaccbbcaacabccccaaccacabacaaccababcabcacbbcbaacbabcaacbacabbbacbbacacbaabaacbabcaabbcabbbcbcbacabcbacbcbaacaabccaaaacbcaaaabbaacaacaabbcaaaccbabcbbbacaaaaaacbabcaaacccababcbcbcbccbacaaabaccbbcccbccbcaabababacbacabbaaabacacbabbcbabcbaabbbcbcbbcaaabaacbbcbbbbaababacccacaaabbbaabbbacccbaaaacaabbcbabcacaaabbcacababaacaaacccbbabcbbabcbacaaabcccacbcbbacbabaabccbbacbaaccccbcccababacbaccbbcaacbbaaacbbbaabccbbcbcaacacabbabbbbabaccbbbacbbbcaababaaaaabbaaccabbccbcabcbabbbaaabacbcbbcaabbaccbacbbcbbbbcbacbcacbbbcaccacbcacacccccbbaabcaacabbcbcbbcacbbbaabccabbcbccccaaaccabbccaabcbccbaaaaababbbabbacccbbabcbacaaccaaccbabbcaabbbabbabbccbcbacbabcccabcaacbcbacacaabacabccbacbcbbcaccbaacabaacbaaabaabaacacccbbbcbcccbaabcabcbacccabccaacacaacbbaccbbbaaaccbcacbbacbcaababbccbaabacacaccbabbcaaacabbcbbcbbbababbacaabbbbcaacaaacbbcbaababbccaaacaccbbcbbabaabcaccaaabbbcbbabcabbabaaaabbbbbcccabcacbabbbccaccabccbacacabababbbaabbbcbabacbcabcbccccabacbbaccbbcacbbacaaabcaccccacaccccbcbbccbaccabcbabbbcacbbcaabbacbbacbbcbbacbcaabccbccbbccccbbacacaccacbbcbcbbacbcbaabbcbacbcccbbcaabccacacaccaaaabbacbbabcaaababcbacbaccabcaabcacbcacccacacacabbaabcbcccbaabacbccacacccbaaacccaaccbbabcacaabacbcacbccbabccbcbabacbacbbcbbbaaccacbababcccbaaacbbaaccbcccabbbbbbcbbabaabbbabbbbbaaaccabcaaccaccbaacbaacbcccbbcababccbcbcccababbababcabcbcbbacacaabccabbbbabcacaabbacabaccabbcbacaccaacbababbabccbabcbccaabacacbcabaabbbcccaaaacacbaccbaacbabbbacbbabcaaaacccabacbbaccaaccccabaababbacaaaaccccccbabacbcaabbbccbcbaabcccbbccabbcaccbabaacbccabbbcbcabbcbcbababcbcabbcbaaababbababcccbcacccbbbabbccacccaacbaaabbcacabacbabbabaaabbaaccacbcaacbbaabbcbccaccccbbacababacbbbbccbaabbaabbbcaaccaaaacbbaabcbabaccbcbaaacccaacaabaccbbbabacabccbcaabbacabccccacbcccbcccaaacaabbacbaabcbbabcbcbcbacaaaacbaaabcccbbbabbbababaabbcbbaaaabcbccaabaccaabbacacacaabaacaabcccabcabcbbacccaaccacaaaaaccabababcabcabacbcaaaabacacacbcabbabbccbcbaccbaacbbacabccbcbcaacaccaccaccaabacaaaaaaacaacbccaaacbcbbabbaababbccabacbcbcbaacbaaabbcbaaacbbabbcbcaaabbbabbcabbbccbcaabababbabcacbbbacbbaaabbacbbaaacaaccacbbccbbaaacbbbabccabbbacbaabaabbbbaabaacccabaaacbccbbcccabcbaaabacaacbababcaaacbabcacbbbabaabcaacabbcbbbcabcacbcaccccabbbcacbccbcabcbbcaccaacccbbccacabaacbbcacbcbacbaccccbcbbcacbbbbaaaacacaaabcbcababbbabcabccabaacacaacacabcbcbacbcbbbaccbcccbaaabcbcbacacacbbbbcbacccaaaccaababaaaacbbcccbcabcaccccbcbcccbbcbacaabbcacccbaaabaacbccabbccbbacbcccccbbaccabacccabccccabcbaaaccaaacaabbaacccaccabacabbcaaabcbaaacabacabccacccbcbbccaacbaaaabcbacbaacacaccbaabcacabbccabcbccaabcaacbcbbbcabbbabccaabaacbcabcbbccacacccabbcaccbccccbbbcabcacbbabacabcbaabaacccccbaabbabbcbacbccaaabccbbcccbcccccacaccacccaaacbacbaccacabbcaaabbbabcaaacaaaaaaacaacacbaaacbbccbbcbbccbbcaabbbaaabaccbabccbbabbababcabbaacbabbaccabbabccacaacbbbabbccacacbcbbabbaacaccabbababbcaaacbccbbaccabcabbbbbacbabbbcbbbacacaabaabaccbabbaaaacbaaabbccccaabbabaccbacbaaacacbcaaaccabbabbbbbabcbcbbaaaaaababbbbabbbcbbcbcaabaabbbbababaacabcacbabcccabbcabccabccacabcbacaaccbcbcbaccaacacbaccaacbbbaaccccaaccacbcccbacccbbaacaaacbccbccaacbbcabcbabcacacbbbbcacbcbaaaaabacaaabcacbaccbccaabcbccbbbbbbcacaabcbaacabccbaccabacccacaababaabcacbaacbcbccbaabacbccaaaacbbaacaccacbaaabcbaaacabacacbcccbbaccbbbbcbabcccaaabacbbacbcaaabcbccccbccbabbaabccccbccaaacbbcbbababcbbccaacccccababbbacbbccbaccbbbaaccacbacbaccaacbcbcbcaabaabcacccbccaccaabccaacaccccbaacabcccaaabcacacbbbbaacbbbacbbbbbacaccbaabcbbaaccacacccababaacaaabcabaacababaacbcaacbacbabaccabcbbabbaccbbccacacbaccbcababbababaaababbcbcbcbbababbbaaacacccbbcaaaccaacaabacaaabbbaaaccccababaaabcccabbaababaacbbabbbabacbccbbcacacabbcbccbbccbcbbbcaaabccaaabaccbbbbabcbaabbcaaaacbabcbcbbcabcbbabacbcccccabcabbbccbbbacaacbcbaacbbaccbccbacacccbbbcbbaabbaaacabbbaabacbbaccabbcaabbbaccabcbcacabcbcbbaaaabbabcbababacabbbbacbaaacacacbbacaaacacbabbaccccacccacacbacaacbbcacabcbcaacabcaaaaccacababbbbccbcaacbbbababbcbbcaaacbccbacbaabcbbbabaacbcacbaacbaacccabbcbbcbaabbcbacbbccacacbcacabcbbccbcaacbaaaacccbbcaccabbbcbabcccacabbaababaaabbbbbcababbaaacaccbabcbaacccaabbbaccaccccaacaacacbbaacbcbcbaacabaacacabacccbaabacbccbbbbcbbabcbbcbbaabcccbbabacbcbaccbccacbaabaabaccaabacacbbbbaaaabcccbbacbbccacaccabaaabcbbcbbabccbacbbaabaaaacabbcbcbabbbacaaacbabaabbcacbbbbacaacaacbcccbcccbbcaccabcccaababccaccbabcbaacacaacbcabaabacabccbacacbcbccbcaccbcaaaaaacbaabaaacccaabbbaccacbcabbcaababbaabacccbccbaabcbacbcabbcbaccaccaababccccaaacbcbaabccbabbacaabbbbbaabacbbacbcacbbcaaccbacabccbacacacbcbcaabbaaacbccbbaabccabbcaaababacaccaaaaabbaccbbbbcbacccccccaaaaaaccbcbccaabababcabaccacbcababcbabcbacbccbccabccabcccbaccaccaabcabaaccabcccbccccbcbaaacbbcbabbacaabbbbaaacbcbacbcbbbcaccabccbacabbcabaacaaaaabccabbbbabacccaccbcbbcbabbcbcbbccabacaabbaabcbacacabcbabbcbacbccacbaaaacbcaccabccabcabcbbbbbccbcabccbacbcbabbbaaaccbcbacbcccaccacacbccccbacaabbabbabbbcbbaabcbbcbbacbaaaacaacaacabbacbcbbabcababbcbaabcacbbbaabcccbaaababaacbbababcaacaacbbaaaccacbabcccbaccccbbcbaaabccbbaaaabbccabccaacbcacaaaccbbbcaabcbbbcaacaccbbaacccbccaabbaabbaaaabbccaacaccaabaacbbacaaaccaccabbaccaccbbabbbcbcabcbbcaabaaccbacbcbaccbcaaabcacbacacbbbaccacacbcccacbaaacbaaccaacacbaacbbcaccaccabcccabbbbacbbbabababbcbcbcaababbcbababbcccacabbbcacbbbccacbbbcabbaaccaccccaccaaccbbaccabbbbabbbbbbcabcabbcacbacaaabcaaabcbaaabcaccbcbbaacabbbbbacaacccaaccaccabbbaacbbacbbabccacccabbbabbcbbcbacbabaacccabbcccbccacbabbbbbbcbcccacbccaabbababaccccbcbcccabbaccabbbacacabccaccbbcccaacbbbbcbacaacacaaaccccacbbaaabaabcabcacbbcabaabcbacaabaabcabacbccbcaaaabbccaacbcbcababcbbcabbbbcaaabccccccbaccccabbcabcaccbbacabbccbbbccbaccaacacbbabccabbcabbbabababbbbabbccbabacccaaacbaabaabbcbbaabcbbcbaccababacccbababcabccbcabccacacccaccaccbcacbbcacbbbaacaaabcbcbaaccbbacbbccbabccabbbbbbcaaaacababcaaaacbcbbbcbbcbcabbbaabacccbacbcbbcabbbbcbacbccccccacababacacbacaaccccaaabcbaacbccacaabbbcbbabaabacaccbbcacbacbcbcbbcabcbacaccbbbabbabcbccabaabaabbabbabcbabaaacabbcaacbccccacbcccaccbcbbcabbaaacccabacbaabcaaaabacacbacbcbbbcbcbbbcaaabccaccacbaaabcccbcacbacacbabaabcaacbbccbcbaaccacababcacbaaacbcbbabbcacbaccbcbcbbacbcbaacbbacbbaaacaccaacbbccbbbbabbaaabbcbaaaccccbbaacbbacabccabacbaabbbacbcaaccaaacbcbaccbaacccacccbbccbacbacbacbaccaaaaacacbbcbbcaabcbacaababaaaaaacbbabaaaaaacbaabbcabcbababacbccbcbabccacaabcccbabaaabaccccaaabbcaabaabbabccbacccbbcccbcbcbcccbbccbcbcbbabaaccabbcbacbbbaacbacabccacaccbabbabcbbaabbabacbbaacaacccbcbcaabbcabcccbcabcaababbcaacabbacbcbbaabbcacbcccbabcacaaacabaacccaacccaacbcababcbcccaacabbcbccbbabaabaccbbccacabbabaaccbcaacaaaabcacabbacaabccbabcababccbaccabbababacbbacacbbbcbcaaaaabbcbaaacacaccbbaaacccaccabacccabccbabcabbbbaabaabbcabcccccbbaabbaaaaacbabbaabcaabbccbcbabbabcabaaacbbabbcbaaacbcbcbcaabbcccacabaaabbbabacaabaccabcaccabababacccbcccabcccbcaabccaccbaababbcbabbbbcaacbcaacaabccbcccccbaabaacabcbbcababbcbcabccaaabcbcbaabbabcacacccbacabbabbbacaccccbacaacacbacbabbacbbcacabbcaabacacbabcaacabbccccabcccbccccbbcbaabbbbbaaacaccaacccbbbccbacbbbaacbacbbcaacccbcabbbbbcabcacabbababaacabcbaaacbbcabcbcacacaaabacbcaccbbaabcccccaaaaabacbbbcbbabcaaccbbaccbacbbbabcbaccbccbccacbcaacaaaaabaacbcbaabbacccaacbccacbacaaaacbbbabcbbaaaaaaaccaaabbbacaaaabccbbbabacbcaccabababcbacbbaacbabbcacccbacccaacaacabcbacccacbaacabcbbbcbccbabcbccbaaaacaababbbacababcbbbbcacbcccaacacbabcaabbcbbabbbcccbacbbbcbcccaabbccbbcacbcaabccaaccacbccbbabaaabaaabcbbbbaccaccaabcbcaccaaabaabacbcbbabacccbbaaacacccbcbaccbccbabbacbbaccbccbcbcababcccababaaacbccaacccbcabcbcaabcbcbcaabbbacbccabacbbcbbcbbcacabcbabccabccbbbccaabccaaccacacacaccbccbbaaaaaaaabaacccabaaaacbcbbcabbbbbcabccacaaaaaaacbbbaaaacaabbbabbacaaccabcbabbacacaabbbbcbcaabcbcaaaaaabaccacbbcacbccbbbaabcacbcbcbbbcbacbaabbaacabbabbbbabbaccaaccacbbcbcbbbccacaabcabcbababaaccbbacacccccaccbbbaccbacabbababbbbccbbacbbcccbaacbbaabbcaabcccccbbccabaabbcaaccaaacaaccbccacbaccacaccbcccaacacabccabbcccbabaccbacbabcacbcabbcabaabbcacccccbbcbcabacabcbbcbbbaaaacbccacacccbaabbaabbaccaccbcabcaabababccbccbbbaacaacbabaaabaccabacaaccabaababacabbcbccbacaaaccabcaaacbbabbbacbbccabbabccbacbbbacacabbcccaccacbbacaacabccabcacbbabbbaaaabcabacaacbaacaaaabccabcccacacaabbbbaacabcbccaaccababaaaabcbcabccbaaaaabcaaaccaabaaccabcbcbcabaabccbcaababcbcbbcaababaababbbaaaccaccbacacccabccccaaccbbacacbabcaaccabbbcbaaccaaccabbbcbcbbaccccbccaacccabacbcabcabbaabcbaccbcaabaaabcbbabaabaaacccbcaccaabbcbaacbcabcbbbcbbcacababcbaccbabacccaccbaaabaaccabaabaacbcacbabbcbabcbacbacbaaabccbbcaabacacbcaabaababbcbbbbcbbaccaabaccbcabacbaaccbcccacccccaaabcbcacccccccbaccbacaababbabcabbcccaccbaacaaacbabccbbacaabaaccaccbbaacccaabbcccabcaabbbacbaaccbbababcabaccbbaccaccaccaabbcbccabcbcccbaaaccabbabcbbabccccbbcbbbbabaccccbbabccacbacacacccacbaaacbaabababaccbaabaabccaacbbcabcbcaabcabaaabcacabbcaccbabbabcabaaacacabaccbbcbabaccbccabbcbcccacabbccabacabbacacbabcabacbaccccbbbcbacbbbaabbcaccaacaabbbacbbbcaabbbcacbaaabbbacacbbbbaaaaaccacccacabaccbaaabcaccbabbcbbcbaabccabaaaaababbcbbcbacbaacbacbaabbcacbcbbaacbbbaacbcbbacbccbcaccbbaabaaccbaaacabcabacaabcabccaaaaabbaccbbabbbccaaaaabccbbabaccaabbccbcbaaabbacbbcacccabaacabaabaabaabaccbabacabcccaccbbccaabacbabacacbaaaccbbbaaabaccbcaaacababaabcaababacbcaccaaacbabcacbacbcabacaabaaaababcbcacabcbcbbcaabacbbabaaaaccbcabbcbcaccabcbcaccbbbbbbaabccabcbbbaabbcacccaaaabbabacbcacaccbacbccbcbabbcaacabbbbcbcacbcbcbcccaaaabcababcbbabbcbbbbabacaacbbcaaabbaccaaacabcccbbbccaabcbbbcaaaacbabacaabacabbabcccbbaaaccbcbbaaabaacccbabcbccbbbcccabbbbbbbccbcbaacacabbbbcabccbabbcaaabcbccacccccaaabbabaaabaccaccabbccbcccbcaaabbcaaabbcaababbaacabbbbbaacacbcbaacbcccbabbbbabccabcacccbaaabaacaccacbaaaabbbacabcbcbbaaabbcaaaaabcabcbbbbbccaacbbccabbacbaaabacaaacaacaaccaabcccacabbcbcacbccacabccbaabcaaabbacbbacaabcccaacbbbcaccbaababacabcbcbbcacaabaaacbbccbbbacabbaaaacacbabacbcacccbbbabbbaaabcacacbcaababccabccccababaaaccacabaaabacbacaaaccaabacbabbabacaccacacacaabacaacbbabcaaaacbccabbbcbcabbccaababbbaaaaaaccaaabcccbbccabbccaaaacaaaccaccbbbbbababcbbabaacbbaaaacaaccbbccaaabbcbaaabbccaacacacabbaacbaabcaacabcaacabbbbabccbaccbabbcacaccacaacacabacabbabbbbbaaccacbbaabbbcabccacaacacaaababbcacabbcccaccbbbbbbacaabacccccabcbbabcaccbccbbaabbabccbbacacccacccacbccacaccabaccbcbcbbcbaaacacacccbaaacacbbbbbbccbacccabaaaacaabacabbbacacabaaacabcaabcbcbcabbacacacbbbbaabcbbbcacbacaccaacbbacaabaacabcaabacbacbbababcbabbbaccccbbcccccbbbacacabbcbcbcaabaabcbabaacabbbacaaabbccababccbacbccaaaababacabacccbbbccaccbabccacacbaccccbbabbcbccabbbaabbaacabaabbbbcccacbbccbcabcaaabaabcbaacbbabbacccabaccbacbcabbccccbabaaabbcbabcccacccacbbbccbbcbbbaaacbaaaaaccaaaabbbaacabcacbbaccabcbbbcbbcbbccbabcacbcaccccbcaacccababaccccabcbbcbbaabababcaaaaaaccaababacbccacaabaaacabcacaccabcaaaabcccaacaacbabbacabacbbbaabacabcacabbbaccbacbbbbbababbcacbaaaaaaabaaabaacbbcccabcaaaccaabaccababbcbbcaccacbaabbcaaabbababbbbbcbccccacbabbcbabbbbbbacbbaabcbabaccbaacbcaabcacaacbababbabbabaaccbbcbbbaabbaccaacccccbbbcabccbcbababababcababcbabccccccbbcccabbacbabbcacaabbccbcaabbbcacacbaacaabaccaaacccaccabbcacbcccabbabacbbbccaabaabccbcabbccbcaccccbababacaccacacccacabaaacacbccabbcacacabbbabaaabbabacbbaaaaacbbbacccaacbcacbcbacccabbbbabacbccbbbacacabaaabacbbabcbbbbcbabbabbcccaacaabcbbabaacbbbbccbbbabcbabbcaaabcabccacbcaabacbcbbbbbbbbcbaababaaacccccaccababacbaccbabbabcbbbbcacccbacacbabcababcbaccaabacbbcabcbaabaabcbcaaacababcbbacbabbaccaabbcabbaabcbcbbcbabbaacacbbcbbbbcabcbbabbcacacbccabbcbbbcbcacabbcbccbaacbbbcccacbacbcaccbabacbcccacaacabaccbabaccaacaababaacbaabbbbbbbacbbacccbaaabcabacaacbbcbcabaababaababcaaabbbbbbbabbaaacabbbcbbaabacccbbcbbbaccacbbbacccbaccbcacabcabbcbbaabbcaccaacabaaabaaabcbabbcbabcbabcccbbbaaacaabaaaacccbabacccabbbcabbaacbaaccaccabbccbbcbbaacccbaccbacacbaacbcbaabcbbccbaaaaccbbbacbccaababcbbacaaabcbabbcabccacaaacaababcccacacbbacbbbbabacaaacabaabcaacacabaabacbbaacaaacaabacacbccaacaacccaccbbbacaaacbbbccabbaaaccccaababcabbaababbbaaabbbbbcbbcbccbabaabcacabbccbcbcccabbcbcbaacccbcbcccbcccccaaabaccabacbcbccabbbabaacabaccbbcaccabbacaaabbccbaaaabcbbbacacbcaaabbcabcbabbacacccacaacabbcaaabcbabbccbcbccacbcabbbabcbbbcababbaacbbbacacbbcacbcacbcaaaabcbbbbaaabaaacaccbcbaacbccbbcbbcbcbbbccabccbcacbcacbacbaccbbaaaabcabbaccbaccacccbabacacabbaaaabaabbabacacacccbcbbacaacccccaabcaaaaababaabcaacaacaccaaabbacbaabbaacbacabcbaaacabcacaaaccabbcbbaaccabcbaccbccaacbcbaabaabbcbcaabbbbbacbbacbcabacabcbcbbcccacabcbccbaaaacbbbaacaaccbabbacbcccabacacaabbcacccabccabacbaaabbaacccaaccaaabbaacabacacccccaaabbbaaacbacabccbaabaaabcabbaacabbcbbbcbacaabbaccacaccaababcbbcbaccbaabacbabcbbcaaaabaacbabaaababcbabbcacbbacbcbbcbbbbccccbcabbabbbccbcabaaaccbabbcccbababccbcbaacabbbcaaabaaccaabbabccbcaaacaaaabbaccbcbbccabcaabbbbcacabaaaaaccbaaaaaccbcacbbccccbbacbcabccacbcbaabaaabccacacacbababacaacbaabcccababbacaaabcbbabccbccccbccaaaacbaaccaccbbbccccabacabbacbbbaaacbacabbbcbcbcaccbaacaacbaaaaaaabbbbbcacaaacacbaabccbbaacbacbcaacaabcccbbbbbbbcccababbbbbcaaacccbbacbbbcbbabbbbcabacbbacccbbcaaacacacaaaccbbbcccbcbbccbcbabaccbccccabcaababcbbbabaaccbcbccbaccaaacacabbcbbcaccbbcccacabaaaccccaaabcccccaabaabaccacaacccaaabacbbbcabbbcccaccbbccababcababcbccbabcaabaacabcbbbaabaabbaabcaababcccccbbaaababcaabaaaccbaccbabcaabaacccabcabccbcbbaccaaabaaaaabbcccaccccbbcabababbbbcbbacaaabbcaccbcccabbaaaacbcbbaaabccbaaaacccaaaccaccccbccccbbcccbbbccccbacbaaccabccccaabbcaaacbbcabbbcacbabbccacacbbbacbcaabcabbcbaccaabbcbbabcbacaaabaaaabbbbcbbcbacacbabcccbcacbbabbaabacbcbbcabccbcbcabcbcbbabcaaacbabbcacbbbacaacabbacabbcabaabcbcbacacbacccacbcabbbcbaaccabcaabaaababccbbbabbbcaaccbbacabacbacacbccbaabcabacacccccbacaabcaaccacabaacaaccacbabbbcabaccabcabacccbbabbbbabcabbccabaacaaacabbcbcbccbacbbbabcccabbbabcaccccccccacbcccbabcbbbccbbbaccbcccabacabbcaaabaccabbabcbcbcbbabbabcbaccaaaabccaaccacccbcccaabbacacbcbbcaabbcacbbbbacbaabbcacababbacbcccccbbacaccccabcbcacaccbccccbcbbabaabbcbacabacbbcbcbcbccbcaacbbbcbbcbabbbacbbabaccbbbcbaacbbbcaaccbcacbbcbababcbbaaaabbabbccbbcbcabaccabcbababbaaaababcacbabaacbbbbaccccbcbaacaaccccabbabcbaaacbccbbbbacaacbaacccccbbbcbcacbcbabcabacbacbcbcacbabaabbacbaaacacccbaacbccaccbbaacacaacbaccaacbababaaacbcabcabbcbcaaabbbccaaacccbbbbccbbacbccbbccaccbbbcbcabcbacbcccacacacaaaacbabbcaccbacabaaacaccaccbabbacbcbcbbabbbbccbccbccabaccbabbcccbbcabcbcaabbcbacccaabbcaacccacbbabbabbbcaabbcbbcccabccbbaaccbbbccaacaabacbccacccccabaccacbcaabaaaaabaccccbcbacabacacccbbaabbaaacbbbcbacbcccbccccbbabbbccccaacaccbacabcacaaabacccbacbbbcacaaabcbabcbacabbcbbbbacccbbabbabbacbbabccbcbcbabacaccccacaaabbbbcbaabcbaacbcbbbcabcbbbbbccaccacbabcbcacacaaabccbacbabacacabbaccbbaabbccbbcaaaaaccbaabacccbcbbcbcbbcbbabbbabcacabcbbaacabbbaacbcabaaacbaccccaccababcbaacbaaaccacacbbcbbaccaaccbbaabbaabccaaaaaccbccbaaabcccacbcaaaabaccccacacbabbacbaccbabaacabcbcaabaabbbabbabacacbaaaaababccccaabcaabccabacbbbcacbcbacababcacbcaccbbacbaabcaaacaabbaacbacbbacacbabbcbaacabccbacbbccabbaccbcbcaabbcbbcbbaaabbcaacbcacccbcbacabaaccabaacabbbcbacbaabbaaabaaabcbcbbcbbcacbacbbabcbbacbaabaaccbcccbabbcaacccabbbacaabaabbbbbcbaaaacbbccaababbcbacaaaabacaccccbabbaabaaccabbcbbbbbcbbcbcacaacbccbbccacccccaaccbccabbccabcacccaccacacbbacaccaccbbbbccacbcbbbaaaabbaccaabbaccabbcbabaabccacacabaabbaacbbbccacbccabbabbcbcacbacbcccaccbacaaabbbaaabbbbababbbbccccabbcaccbbaccacbaabcaabaaccbaaccabbbcbabcacacbccbcacccccaaaaaabcbaacccbcccaabcbbaaacbbcbacaaabbcccbccbbccabccccaaabacccbbbabacabbbababacbabcaabbbcabaacabbbccbccbaaabccaacabbcaabcccccabcbacbaaaccbbbaaacbcabbacbcbaacccccccabcbcbbcaccaaccabaccabcbcbabaabcbccaaabbabcaccbbbbcbcabccbccbaacabbbcbbcbbaaccbaabcbacccaacaacaaabbcaacbcacacaacabccbbaaaacbcaacbbcbabacaaaabbaabbbbccbaababababcaabaabcbaccbabcaabbbbaaaccccaccbbcacacbbacababccaaabbabbcbacacbacaabcacccacbbabcccbcabbccabacaacbbabbbacbaacbccaacaacabaccbcaccacaaabccbcbbccaacabcbcbbbacbacabcaacacccaccaacacbccacabbabcaabbacbbaaaccacccbabbbcbbbabbbcbbabcccbacbaacaccbcabbacacaabbabaccabaaaccbabcabcbbbaccbcbcbabacacabcbbbbabccababccbbbbabcabcabaaccaacabbcaacbccbbccaaaccabcaaabcccccaacbbbbcacbbcbaccccbbaacbbcaacbaabacacccbcccbcbcabcbccbaccbcbbbcccbbbaaacbabbabcaabacacbbccbbbcccbcaaacbcaccbcaaacbabcbccbabccbabaccaacbbcababccbbaccbbbbaaaacaaababbcbbaabbcabcacababbbbabbaaccbbcacbccbcccbccacbacbccbccbccbcaababacaacaccbabcbcbcaaaabcacbccbbcbcbcbccbccaccbabbbaccacacaaacbaaaccbababbaabcbcbcaccabcaaababacbabaccbcaacabcaaaccbbbaabcbccbbccbcaacacaacacbccaccaaabaccabaabcbaaabbaaacaaccabbacccbacabcbccbccbaabcbcaccaaabaccbccbabaabacbcccbaaaaabababbaaaabbbbcbbcbcbbcabcccaaaccccaccbcccaccbacbaaaabbaacbbacbaaaabacabccaacbaccabccbbccbcbcabbcabbcbcbacaabaacccaaaaccacacaabcabcccacacccbccbccbacbaabccbbaabbaccccbccbaabcaccbccaabbbbbbaacbcbaccbcbaabaabcbbbabaababcbaabbbabbcccbaaccaababababbccccaccaaaaaabccaabaabaccbccbabcbacccacbaaccbabaaccabaabbcacaccbacbbaaababbaabaabaccbcccbaacaacbaaacababcbbbaaccabbcaaacaabacccbbaacabbbbbcbccbaccbbacbbbbacabbcaabacabbabacbbcbaaabcbcbbbababcabacbbcbbabcbccbcacbbaacaababccaccbcababaaaacccbcbbabbcaacbbaccaccbbccaacacabcbacbcaaacccbcbbbcbaabbccbababaacacbbaccbcbcbccacacbaccccbbaacccacccbacccccbabccacbbacccabbbcbcbbccaaababbbaaababccccbabbbbccacaaaabbbbbbbbacccacbabbbcbaaaaabcabbaccacbbabcacbbbbbbabaccababccbcacabcabacbaaababacbabaaacbbbbcbcccbacbbbcbbbacccbaaabbcaccabbbcabcacbacbcbcbccbbcbbbaaaaaacabcaabcacaccacaaccaabccaabbcbcbbbcaacacbacabcbbaabbaacabaaaacccbaccbccaccbacbbccbcbcbaacabaccabbcacbbabbacbbcbbcabaacaacccbbaaaabcccbbbbbccbabbbcaaaabbcbacbaaacccbbabbbbbcbacabbbbacaccacabacbcbbcaccaacbbccaaabacaaaababaaacaaaaaaacbcbbbbbabbacbbacbacaabacaaccaaaabacaabbbccbbcaabbccbccaaaacaaacaaacaaaabbbbcccaabababacbaabbcbacbcbaabcaaccaccbccbcaabaaacbbbbacacccbbcccaabcaccbbabbacbcbcabbbcbbcbabcbccbbabcaaaabbaccacacabacbababcbacabacbaabcaacbbbababbaabbcaccbaabaaaaaaacaaaabcbbbbaaabbbbbbbbccacbaaccccccbaaaacbcbbcaabaaaaaabbaacbbbbccbccbbbcbbbaacbcaabbbbcbabccaccabcbaabcbaabcaabbcbaccccbcabbccccbcaabbcbabcbbbcaabcacabccaccbbabacbcccabcacabcbccacccbababcbbbaaabcbbaaccccbbaabbbcbabacaccbcaaaabccbcbcacbaaaacbaaccacabaabccbbccabbcbcacbcbccacaabcacabababccbcbacbcabcccaccacabbbbaabccbbaacbcacbcccabaaaacacbbcabbabbcbbbacacbcbcbbbaaaaaacbaacbabbbbbbcaacacabcbbbbbacbacacbabcaaaabaaacaacccccaccbcabcacbbacbbbabacbaaccbabcaabcbbcccabcabaacaabbaacaccabaaccaacaabbcbbabccababbbcabccbccaccccccbcaabaacccaccbcaccacaaacbbaaaccbbbccbccbacccbbaccbabccbcbbaccbcabbbacbbabaabbacacaabaacccaabaaaaaacaacacabacbbaacbbcaccccaacabcbbaccbbcbbcbabcaabccbbccacaccbcccbbccbcbaccbabccaaaacaccbcccbbcbaabbbbbbccbccbacaccacaaabaaacbcaacabbbcaabcaaaacacccabbccccbccbcbbabaccabcbcbcbabbbbacacabbcccaaacacbbbcbbccbacabbccbacbabbcaccbabcbbcabbccbcabcabccabaabbacacacccacbbbccbbcbcababbbacbcbabaaaccbcaaaaabbaaabacacbcacaacaaccaaabaacbacacabbccbcaabcbaababccbccabacaaabacbacbcabacbacccbbbbabbbbcaaccbbabccccbaacbbabbccbacaaccaacabccbbaccaabcaccababbcbaccbcbaaacaacbbbaabccbbabbcacbbcbabbcacbccabaaabbbaaabbccabbccbbaccabaccbaccabcbcbacabcccbcacccbcbabcccbaaccccbaaaccacacccabcccbccbabcabacaabcabccaaaaabccaccccbcbcabbbabcbcacaccbacbbbbbbbbccabbbbccbbcbbcacbccaabccbbbcacacabbabbacbcacbcccbcbaacccaaccbcbcacbbbcbccaabbbbabbabcababccbbbbbbbbcbcbbbcbabcbccaabacbcacabccbcbbacbccbbaaacbaabbbbbcabaaaabbccacbbccbbcbbcbccccbaccbbccccccbaccaccbcaccbcbaabcccaabccbaabbccbbabccbaccbaabaababccacacbcbbbcbcbaacbaaabcacabccbabacbaacbacacaaabccaccacaabacabcbacccbabccabaabbbbcccbacabbcbbbbababaaaabcabbabbcbbabbaaacabacbbbbcbcaaacabcabbbabcccaccabcccaabbcabcabbcbbccaccabccbbbbcaaabcacacacabbabaacbababcaabbbcbcbcaccabcbacccccbccacccbbccbabaabaacbcabbaaaacbaaabbbcbbabcabcbbbaaacbccacaaaccbaaacabccbaabccbcbccbccbcbaabacaccbcacabaabbbaacbabbacccaabcabbcbaccacbccccaacabaccbbbaaccacbbacbbabcbcbbacaacabbacbaaccaabccbbbbbaacaaabbbcbcaababbbabaaabaabbbbbcabacbccbabcbbcbccaacabbcbabccbbbbaaabccabcbbacbcacbababcbccbabbbcacbaababacaaccabaacbabcacabcbbaaacccaaaabcaacabaccbbacbbacbcacabaccacaabcccaababcbccaccaabaaabacaaababacabbcbaaabaacacbcccabcaccbcaaccccbcabbccbbbbabbbcbcbccaaaacaccbaababcbbccbcbbabcbcbbcabaaabcbccbccaaacbccacccbacbacabcabcabaabcbbcbabcbcacbccaccbacacaabcccaaabaaabaaaacaaacabaaaccaccabcbacbbbaabaababbbaacbbcabcaabacaccaccbabccbccbaaababbcbabcaaacabcaccccababcccccbcabcbccbacbccccaaaccabcccbbcabbbcbaacbaacccbaacabbccaaabccbbbbcabacacbabcacbccaababaaaaccabbabcbccaaacaccbabbabbacacacbccbccbbcacbaccaacabbcbcbacbacbbccbaabbcbccbacbbbacacbcabcbababaccbcbaaaaaaccacbccbccaaccbccbacccabbccbbaabbccccaaacaccbbccbaabaaaababbccbabaaaccaccabcababccbcbcbbcccbbbcbacbcaaaabbcaaccbcbaabcbbaababaabcabbacaacbcabaaaabbabaabaccacaaccaaacbbccbabbcbcaaaaacbbbaaaabbaabcbaaaacbcaabcbaabbaababbabbcaacacaaacaccccaaacaacbabbacbcaaacacccbcabbbcaacaccccaaccbbcaacbbabcacaaaccacacaabacbaacaacccbacabccabaccbcbbacbcababcccbaacabbcabbbcabcbaccccbbcbccaabbbaccbbcabbcbabccbbccccbcabacccbcbaccabbaacaabaabcaabbabaabbccbbbbbaaabbbcccaabacabcbabcbcacccaaabccbbbabbaaababcccbccccbaaaabaccaccbbbbaaaacaccaabcbcbcabbbabaacacbbaacaacacbcbababacbbcabbacbcbacbcbaaaccbaacbccaaacccaabaacaaabcbcbbcaaacbcbbcaaabaccaaabccbcaaaaabcabaaacbabbcccccbbcbcaccabcbccbbbbacaaaabacaaacaccabcccbbaacaaabbcabbabbabbbacccbacccaacaacacacababaccbcbcccccbccbbbacabaaacbbabcabbacacbcacaacaccbaacacaaaabbbbacbccacbccabcbbccbbbcacbacacccbcbbbccbccaabcabcbaacabcbacabbacbcbcbbbccaccccbabbabbabbbccbccbacccbacbaaacccaacaccacbcbbaccbacaababbbababbaaabaaaabbcbaaaacabacbaabbabbbcbcbbcbcbbbbcbccbaaccbcbabcabbcaacbababcaccbcabcbbcaaccabbaaacaacacacaabbbcabcaababacccacccaacbacbbcbcbcbaaaccbacbbcaccbbacbabbcbcaacbcabbabbcbaccccabbbccccccacabcbccbaacaabcacaccbbbcaabcacacbbcbccbbbcbbccacbbaccccabbaccbccbbcabcbcbbcbaaaaccbccbacacaacabcaacbbaacbcccbaacbaccbaaababbacacbcbcacabcccbcbccbbbacbaaacaabbabacbbbababbbaabcaaacbbabaacccbabaaaccbcccacabacbacacaaaacacccbaccababaabbabccbcbcbbcccbbbbcabbabccaaaaacccbabbbcbbbcacaabccccaabcbaabaccacaacbbbaaccbcaacbababaaaaabbaaacacbccccaabcabababcbbcbcacacaacababcaaababaabcaacccccbcbabcccaabaacacbcabbcaaccbbaccbbbcbccacbbabcaaccbabbabaacbcabccabccbcbcccaaccbcbcbbaabbcbbabbabbcbbaacacbbcbababccbacaacbbabcbbaccbcacbabbbcbabcaaabbababcbcabcbabcbbacccbaccccacaacababacaccbccbbabaabccabbbcbabbbccacbacbcaaacbabbbbbabcbaacbaaccaaccabbbcaacaabababababacccabbbacaabbcabcabbaababbcbbacbabbbccacabbabababcacacacaacbabcccbccbbbaacbacbcacbaaabbaaacacaacccabccbbbccabcacbcaacacacbbabacccccbbacacbaabccaabcbbbbaccababbbaccacbbbaaabbacbacacacaacaaccaaaaabbbaccaaabbcbabbbacaabbacbcacacbcacccaccbcbaccbcabcbaababbbcbaabacbcacbaacbbacabcbabcccabbcabacbcaccaabbcbaaacbcbcabbbccaabbcacacbcbbabbbbbcbabcccccbccabbcabccacbcabcabbbaabbcbabbbcbbbcbacabbacbacbbabbabacccccaccbcbbccacbaabbabcacbcacaabbcbccbbabaacabbaccbabababcbcbacbccccbcaacaaaabacbabbbcaacbccbacccbccacbacccbccacaaaaaaaaccabbcabbbccaccabaaccbaacacaaccbbbbaabcacbcacbcacbbbccbcabbabacabbcccacbabcccbaabbcbaccbccabbcccbabaacbabcbbbcaabcccbbcbccccaccabcacaaabbaacbcaacaabaaaccabcabaaabcaaacaaacccbccbacabbcabbccbabbbbaacaacabbcaaccabccbaccaaaabaccbcaacacbcabbcbababacaacabcbaaaabbbcaccbabbcaabbbabaacccabaccacabcbbcccaccabbbaabcabbcacbbccabbbbcccbaccaabcccbacaaccbbabbacbcbcababbacbbbcbcbcabbaacaabcbbabcccccaacbbacaabbbbbbcbbabbbccabaabbaabcaccbccccaacbacbbbbcabbbabacbabaacaacacaaaacaaabbcaababbbaabccbcababcccacbcbbbcccaccbabbcabcbbbcacbbbbabbcbccbaaccbcaababccbbcccacabacabacbbaacaccbcaccaacaaabccbabcabaacacacbabaccabccccbbbcabacccabcbcaccabbccccaabbbaccccaaaabbbcacbcababcccaaacccccbccccaabcacccbabaabbabcacbacacababacbababaacabbcabbcccaccaaacccbcacaaaacccabbbbcaacbabbcbccbabbabccbbabccabaaaaaaabbcaaaccaacbaaaabbcaacacabccacbbaacccaabbbbcccbbcbabaaabcbacbbbababcaccccbacacbbbbccbcaacbbbcbaababcbacccbbababbbabbaabbcbbabacaccbbbacbacaabbaccbbbbbbcaaaabcacbbababbccacbaccacbabbabbbaaccccccbabbacbaacabaabbabccbbcbbcbcbbbbbcccbcaaabbcbaaccabbcabbaaaccbcbbcabbccacabcaaaaaccbbbcaaccacbcbababacccbabbacaacbbabbbccacabaacaaabababaabcababbabababbacbcccaccbacccaccabaacbaaabbcbaababcacccacbaaccbabccbabbcacaccbbaccaaccbcccbcabbbaaaaaabbbbcaabccacabbccabcaacccabcbcbabbabacccaabcccaababaccbbcbabcacccaabaabbbcbabccbacbaabbaccacbaccacabccaacacccbacbbbaccbcacbacaccaacbaabacabbbabbbbcbbbaccccaaababbbaccbbaaaacbbaccabcbbbcbbababbcbbcbcaababaabbaacbaabbaccccbbaabbcbcaccccacacbabcbcaccbbbcabababbbabcaaababccaacabcbccaaccccccccaaaccbcabbbcbcccacbccbcacbcabbabcbcbbbccbbaccbcaacbbbacbaccaabaabaacbbabcbaacccacaababcccbaaacbcbccbabbcbbacbbcaccbaacabbbabcacbbabbabaaaabcbaacbacbbbcbabbccaaabcbaaacbaacabccbbabcccccaaacaacaccabbbcbcbabccaabbbacbcccbcbaaabcaaaacccbccbbaacabacbaccbcabbbaaacacccabcaaaccaababcbcababbcbbaaaabacabcbbacaaaabaacccabaccbaabcbbaaaacccbacbcabccbbaaabcbabbbbacbabbbcabcccbacacabbbabaaccabacaabcbcbaaabcbccaaaabaacbaccbaccbabacbacccaaabacccaaacaaacbbaabbaabbbcbcabbcbaabacbbaabbcbcaacbccbcbaababcaccbccbcbaabccbcacccaababcacbcbcbccaaacccbcabcabcbcbbcbacbcbacbbabcabcccabbccbbaabacabbcbcbaabacbbbabbbbaaccbccbaacabbabbabcbaacaccbacbcccbccbaccabbaaaccacbbcbccabccbcbcabaacabbcccbccaacbcabcbcaacbacaabcbbacacccbaccbcccaabbacbabcbcabccbbbbabbccaccabcabcabaabbbbbccccaacbcbaaabaacccbbcbcaccbbaaaccbcacabcbaaaaaccaacbcacacccbbacacbabcacbbbcbbcacbbbaacabacbbcabbcbbbccbacbaacbabbcccbbbcaaacccabbbbcabcbcacaacbabcacccbbacacbaabcbabbcbccbcbcbaababbcaccbaaabacabbabcabccbaccbcbaaccacccbbacababbbccaaaababcbcbcbbbcbbcacababcbabcccccabcababbcacaabcbaaccbabcccaacbaabaaccbcbabbbabccacccbbabcacbcababccbacaccaccaaababacbcaabbcbacacbbabbaacbbcbacacabcacccccacacacaaaccbbbccabbaaccabcbabccbcbbbbbbbbaabcccbaccbbccabacbaaccccccbbbbcccaacbcbababaccbcacccacabcbccaabbbbcbcacaababccbcccaccabcabbaaacaccbacbbbacacaccbcbaccbcaacbcbbcbaabaaababcaabccbcabaaaabacbabbcacbbcacbacbbacbcbccaabbcabcabcbbabacbbcaacbcbbaccabbcaaabcccbabbcbcabbbbcabbbccbaccabccbccacbbaaabcbcabacbbcbacccbacbbaccacbcbbccbaacaabcaaccabaacaabaaacbabccacccacaccccbabcbbccaacbabccbcabbcbcabaabcbccaaabcbcccabcaccbabaacaccaabcaaaaccabccbbaacbbbccbaabbcbcabcccacacbaaacbbcabccacbacacacaaabcabbacccccacaaccbcacacaabacbcacccabcbcbbbacccabaacbcccacbbccbbbcbcacacbcaaacbcabaabaccccaaacccbcacaccaacbbccaaaccaaacbcbcabccbbcbacacacaaacccabacabccbcabcaabbababcaacabcbcaaacabaccabcabbcbbbcbbbaacbcccaaabacabcbaaaaacbabbcbacaccbaaacacaabbaaccabbccbccccacbbaaabcabbccabbabcaacaacbcabcaaccaababcbaabcaabaacccaacaacacbbaccacccaccccacbabccbcbbbaaaacbcbcaabbcaccabababcbacbbbacacababbccccbccacccaccabccbcbacabcbbaccbbabbbccbbacbbccabcaacaaacbabaaaabbaabcabbcbcbaabccbcaacabaaccaccaacbacaccbbcbcbcbbcccbbabacaaaabccaaacacbcabbbcabbbacbaabbbbaabaaaabcabaccbccbaacaaaaccaaabcabbbbcaabbbbabccacacacbaabcabaccbbabccbccbbbababbccabbcabbbcbaccacccaaacacabacacccccaacccbccbbcbcacbacaababcaabaaabcaaabaaacacbccabaabbbacbcbcbacaccccaccbabbabcbcbabbbcaabaaccaaabbabcaaccccbaccabcbcabaaacbcbabbbbacaaaccacacabcbacbccbccbccacbcbbbaaabacbaccabaacbcbbbaaaaaacaabaabaaabccacacbaccacbbbccababbbaabbcbbcabbccbbcaacabcccabcababaacaaccbabbcccbabcaabacbbcbbcaaabccaabbacbaccaabbcacaabaacbccbbcaabbcabbbbcbcacccacaccccbbbcacccacaacaababaabbbababbbcabbcbabcabcaabaaaaaccbbbaabcabbbcbabaaccacaaacabacbccccaaacbbaaccbbaabababcccaaabbbbacacabaabbbaaaacbcacacbbaccbaabacbaccbcaaaaccabaaccaaabacbacababcbacabbaaabcabccbacabacacbaaccacabbbbcbacbbbbaaaaabcbabbaaaaabbacccbcbababbabbaaababbbbcacaacacbccccbcccbccbacabcccbcbcacaccacbabcacbabccbaccbbcabcaabacaabbbbcacaaaaccaaacbacccaabbabcbccaabaccaabbabcabccabacccbbcccaabaabbbaaacbcacabcbaaccbaccbcbabaccccccaacabaaacabacccbbcabcaacaabcbacaabaaaccabbbbbcbbcbccbacacaaccacacbbcabaccbaaabaaaccbaabbabbabbccbcaacbbccccacccaccabcbabacbacaabaabcccaabcbaabcbcbbbbcaabcbcbbcbccaacacacccacacbcbccaaabbccbcbcbcacbabcbbbcbbbbaccbcbcbbabcbbbabbacbbaaacccccccababaabcccaaacbcaaabaaaabacaccbccaccbabaaaabcccaabbcaacabcccccaabbcacccbbbcacbbaccaaaabccaaaabaccbbabccaabacacbcabcacabbcbccbcccccbbbcabbbcbacbaccbabbcaabbbbaabbaacccbacaccbccbacacbbbbaaacbbcbaabcbabcccaabaabbbabbccabcbcacaccacaababcbcbbbbbbaacccabcbcacaababaccbccabcacacccccbbacacbabbacaaacbababcbacbacccbabcaacbacbbaacaabacbbcbbcabbacabcacabaacaccabbbcaaabacbbbbccbcccccbcbabbabbacbcbaabbbaaaaaabccaaaaacbabcbbbabcccaccabcbaccacabacaaaccbbbcccaccccacbcbaccabcaabcaacccbbbbaaaaaabbccaaabbaabbcbaaacaaaaabbcabbabbabcbcbcabbccabbcaacbcacacbabccbacbaacaabccbcacabbccbbbbbbabcabbabcacccbaacbcbbcabcccbbccbcaaaacaccbbbabcbbcbaabbbccabccccbbacbacbcbbacbbccbcabbabcacbcabaaaaccabbccbcbccbbabbbcbabcababaaaacbccaaabaabbabccbbbbbcbbbcbbbcacccbbcabaabcccabcbaccaabaacacbcabaccaababacbbabbcbaaaccaaaaabcabcbabaaabccbabacbcbacacccbbababbbcababacabbbaaabbbaacacccbcacbcbbbcccabbcabbaabaabbbbbacacccaccbaaabccacbbbbabbcbcbbcacbcaabaaacabaaacabaacbaabcbabccaaacccccabaccabbabcccbccbacbccbbcccabcaabcabacbacbaaabacbabbbaaacbbccacbacaccbcccbbabcccccacbbcccccccccccabbbaaacbacabcacaaccbcabcbbccbbbcbaaaaabcaabacaaaaababcbcabaccbbbcacccacbbbbcbbbcbcacabbccbccbcbbcbacbcacbbbcbccabbaacbcbbbbaccbcbbbabacaaccbcaccbaacaccabbcacabcbbababccbababacbbbcabbcccacaabcacabbbccbabcaabbabaaabcaaabccccccccbaabbbbbaacabbbcbbabcbcaaababbbaacababababbbcaaaacbabcacbabcacbccacacbbbcbcabbabaaacaabcaaaabbbbaaaacaabcaababbaaaabbacababcbbbccbbabbcaabaaccbbccbaacbabbcbbcaaaccbaccccbbcccbbcaabcaaaacaababcbbabcacacbccbacbabaccaabaacbbbbcaacbaaababbabaaaccbcbcaacccbcacbccaababbbaabbabaaaabacbbbabcacbaabcabcbcaaccaaccbbacbcbcccabcbbcbabbbacbaabccbbbbaabacaccaabababbbcccbabccbabbaaaacababbabbabbcacccbacacbcbaacabacacbcaabaaacbaabacaacbbaaabcabacbacabbacbacbacacbbbbbccabbbbbcaabccbccacbcaccbababaabacaabcbcbbcabcababbbcacacaacaccbbaaaacabbcbbbcccaaabcccaccacabaaccbbcabbacbabcabcabbaabcabccbaaaaaacccbcccbbcbccabaaccabbaccacaccccccbaccccaaccbcacabaacbabacccaabcaccabbbbaaacabaaaabbccbabcaabcaaccccccbaabcaabbbbbccaacababcbaccabcccaaaaabaacabbacacbaacbbcbacabacbaacbbbbccababbcbbbaabaccaacabcbbacbacacbbcaaabbbcabbabccacbabcabbbcacbcaabccacabbabaccaacabbcaacaccbbaaaababbabcbacbacabbcbacbbabcabcbbaccccaacbccbcccabccacacbbcaabcbabbcbbcacabcccaaacabcbbaaacbababacbbcabcbbbbcaacbcbcaacccacbbabcbcbacbaacabbccabbcbbcaacacbabacbcccbbaccacabbabacabaabcccbaccbacbacbabcaccbbacaabbbbcabcacccbbbccbbbbaaacaccabbacabcacbaaccbabbcacbaccaaccbacaaaabcaaaabaaabbcccacbccabccaacbbaacacccbbbccaaabababacbaabbbbcbcccbabacbaacacbaaabccabaccccacbcacabcccbbaccbbbbacabcbcaabcbcbbbcbacbccbbbbcbababccabbbbaaccccaabaacbacccbababcbbcacaccacacacbacccbccccbacaababaabbaccbcccacacbbcbbaaccbaabcaabbccaabbbaabbbabcacbbcbbcaacbabbcabccabaaabbaacbbcccacbababaababaccaabbcacabaabbbabccccacaaacbbbcbacacbbbbcacacabaaaccabacabbaccbcbcacacacbccbccaaccbcacccacaacaaccccbaaaaacacbaccbbbbbbbbbabacabbabccaabcbcaabccbcaaaacbbccbacaabcbaaaaccacaabcccccaacbaaabbabccbabbbabcbcaaaaabbabbaacacaababcbaccacbccacacbabcbabbaacbbccbbbcbcbbccaaabbbcaccbbabcaabcbccbcaaacccbcaacabcabbcacbbaccbabaacacabacbabaccbbbbbabacacaaabacbaacbcbbbacaaaababbccbabaaaaccaaccbbcaabacaaabacbbabaaaacabaaccbbbacbbcacabcbbabbbccbbcccacbcacacaaaacccaaccbcaaccbbbbabcbbcbaaccbacccaaabccccaccacaccabcacccccbaaaabcacbbcaaccaaaabcaabbbaaacbcacbbcccaabbcbaaacbabaacbaacbccbabcaabacccaabababbaacabbccbaabaccabbcccbaacbbbcbbbbabaaaaaaccbacacaaacababacaaacaccbbbcaaabaabaabaacacabacbbbacbbacccccaabbacbcbcaacbaabbbcbabbcbabbabbabbcccccabbcacaacccbaaabccccacaacbabaabcbcbbcacbabbbccabbaacabcbbcccccbbbaabaacaaabaaaaabbcaaaccaaacccbbcbbbaaccabacccbabbbacaababbcbbbaacacbccaaaaabaccacaaabbacababaaccbaabbcabaaabacabbbbaacabbbaabcccabcbcabbccaaaacbcacaccacabbbbacaaccbabcbaacccbacbbbaaaabacabcbbbbaccaacabbbbbcbabcccbcaaabccccaaabbacbcbcaaccbcabaacaabbbababccacbcbccbcbbcbcbcabcacbcacbccbbcabcaccaaaaccbbbacbbcbccbcbbcababcbbccbaabbabcacbcaaacacababaabaccabaccbacaaabbccababcabaaccabbccbcacaacaacbcbaacbababcaabcacbbcacbbbaccbcabbabacabbaababacbcbaabbbaabcacbaaccaabcaabccbaaccaccbbbcbbcbbbaccccaccccabbcbccbcacbbcbbaaabccbbccbbbbabacbccccbbcccbabaabbbcacacccabbccacbccccbbbcbabacbbcccccbabcbababccbbbcbccacbabaabccbcbaabcbacabaaacacbabbabcbcacbaccabbaaaabbbaccbaaaacbcbbabaccbabaccacaacbacbbbbacacccacbbbcccbbcababbabbcbcbbabaaaacbaababbbaaccaabbacbaaacbaccbbaacaaaacabbbaccababbccacbbabbaaabacabaabbcaaabcbbbcccacabbacbabacabbbababbabbaacbcccccacbbacbaccbbababbbbaccbabbbbccabaccbccacaababbcbccbabbccbabbbbacabacbababaccbaaacabcccccccbcbabbcbcaacbcbaaabcabccccacccababbaacaccacbcaaabbcaabcccbabaaabbbabcbcabbbccacbbcbccbaaabccacbbbbcbacaaaacccbbcbabcacaccbaaaaaabcccabcccabbccbcbccccccbbbbbcabaacacabaabbcbccbabcbabccbabcbcabcbabcccacccaacccaabbcaaaaaabcaabbbaabcbcaabbcccccbabcaacbcabcbbcbacbcabcbbbccacaccccabcacabbbcaacacbaaaacccabaacacbacaabcbccccbcaccbaacabcabcbabbaacaaaaaabcbcbcbbcbbaccabaaacacbacccaaaccbbccccccabaacbbbbcabbcaabaccabaabbccacabaaaacccabcacaacabcccaabccbcbabaacbbaccabbbbccbbacabbbaaababbbacbcbabcbaacabbcbcacbaccbcbcccacaabaaccacacbcbabcbcabbbbbbaabacabaacbcabaaccbacabacccbbababcaabccaabacccacbabccccabacacbaccbacbcbbaaccbbaabaccbabaabcabbcbccabacbacbaaaacccccaaccaccacbcaacbcccabbabbbaaacbcbbaababbaaabcbbccbbbbacaccacacbaccccbaccaacbbabbaccaccbcaaccccbabbcbcabaabcbcbbbbababacccacbaaaccaabaabacbcacbabccabcaccacaaabccbacbabacccaacbcbbbabbcaabaacacaabbbabcbcbcaaaaaabcaaccaaabbcccabcccacbcabbbaccaaabacaabbcccccbacaaaacbaabababaaacbaacababaabaabcbccabcacaaacaabbcaabaaabbcabbcacbabaaababcacaabcbcaaaccaabccaabcabbbbabbbccbacaacccaccacbaacaaccacababcaaaabaaaabcacbaacbccaacbcbcbcbbccbbabbacaaaabccaaabbccbcbccaabcaabbcccbbbbbcbbccaabaaacbcbaacacbbaaababbcacabaccabcccaaacbccabaaabcacbbacaccbbbcaabaabacbbbcabaababcaccaccbbacaabacbccaabcabbbcccaaababbbcbbccabaccaccbbaaccacabbbabaacbbbcaabbbbabacbaabcbbbbbcaabcbbacccbbbabcbccbbcbbbcabbabcaccbbabcabbaabbbaccbbabcbbcababbbbaacbcbbbbbacaaabaccaacbabbaaacbbccaaaccbacbbacbaacbbaabcbbbacbccbacccaacbbabcccbacacbcbcccbbbbcccaaccccbcbccaacaabbbbbcaccbaacbcaacaaabcaaababacabacaccbacbcaabaaacabbacbbccbacbbbbabccabbaacbbabccaccbbbccbabbcacbcbcaacacabacacbaacccaccaaacccacbcaacbaccaacaabbcbcaacbcbaaaaccaccbaccaabacaacaabbbacbbbbbcccabbbabacbbaaabcacaabcabcaacbaccaacbcbacbcaacbaccbcbcccacbabcbaabbbcbaabcabacbccaacccbaacaaaaccaaabaaaabbaaccbcbcaccccaabcbbbabcbbbabbbccabaacaaaabaacbababacaabaaaabbabcbabbccaaccacbcaacabbcaabcabaaccabcabaccbbcabacbbcacbabacbcaaabcbccaabccbabbccaacaacabaacabcbbababcbcaacccbbaabbcabaabcbcccbcabcccacccabcbccabcacacaabcabaccbbaaabbaacbbabaacaabcbacbbacaabcbaacccacbbccacabccabcccacbacacbacbbaabacaabbcabcccbccbcbacaabaacbaabcaacccabcbabccccacbababcbbcbabcbbabcababbbbbbbcaacbabaccbcbcabcaacccbaaaaacabccbccabccacbbacbacabaabcccbabbccaacbcacababbaaacbbccabbbbccbcbccbabacacabbbacaccbcaaacacbbbbaabbccbbcabbbbbccbabaccbcabaccbbbbabcacacbcacabbcccbaccbcaabcbabcaccccbabaaacaaccbcaccbbcbbbcbacccbbcbcbaaabbacbbacbbcccbbcaaabaaabaacaaaacacbacbcabbbccabaaaacabacaaabbbbcbaaacbcabcabbcababcbcbbbbbabacbbaccbbbbbcbaaccbaabaccabcbabbcbabacbbbccbcabbbacbcbcbccbccbaacaaaccacbaaacbbcbaabacabbbacbaccbaaabcbbcabaacbcccbacaaacaacabccaccbcababaccbbbccaaccabccabcbacaccbbbcacaaacaacabcaaaccacbcaaaaabacabcbcccacbacaacbcbbbcbbccbacaabccaacbcbaabcabcabbbcbacbccbaacbccbcacabccbbbabbbccaccabccbcacbabbaabbbacabcbccaccccbcabcaccaaacaabbaabcbaabaacaccbbaacaaabbbbccccacabbacbbccaaccabcbccccccabaacbccabaaaaaccabbcbabaccbaccacacacacbcccccbbcbbacbccaaacacccaaaabacaccacccccbacabbabccbacccbbcaaaaaaabbbccaacbccccaabbbcacaaaabacbccacacaacabcbabbabaaabcccbccccaacaabcbccbaabbbbbcacbabccaabbbabacbaacbbacabbbccaabbbbbbccbcabcaabbcabcabcabaaaacabcaabbcaacbbbcbabccaacbcaacabcbcccccaccbbbbccbbbabbbcbbcabccbccabaaacccbcbaaaccaaaaabacacabbbacababbbbaaacaacbbccacbbbbbcaaabaaabccbbaabaacaacbaaaacacbcabccbbcbbcbaacaabaabbaabbaccacacaccbabacaabbccbcbbbbcbcccabacbaccbcbabaccbabcabbaabcbcbbcabcbcabcbacacacacaaacaaabaacaccbaaacbccaabcacccccbcbbacbabacabbbcacabacbbbcbbbcbaabcbbccacccbacabaabaabbabbbcacbbcaccaabbcbbacbacaccbacbcbcacabccaaccccabbbbaccccaccccbbbacbccacabbcbbbbbcbabbbabbbcaacaabcbccabbcbabacabbabbabaabbabaaaacabbaccaccbcccbacbabccbabcbaaabbcbbbaaaacbcbcbcbcbbcbbbbcbccbcacbacbbbcaaabbcbbaccccbabbcbaaacbabcacacaacbacbbbabbabbaccbabbbcbcccaaaccaababccaabcbabaabcbacbccabcbacbabccbbcbbccacbcaccaacabbbbcbcabcccbbbbbbbbbbbabbbcabcaaaabacbbbababbaabcaaababbcbbcccaacbcabcaccbbacaaacbbbaaababcbbbcaaabbaacbcabaccbbbabbccaaaacacaaabacacbbabaacacbcabbacbacabacacbbccbabcbaccabacabaacacccacabccbbaccaccabbccbabaabbcbabbcbbcbbbcacacaacccabccbcbccbabbbaacbabaaacabababbbbacabaabacccbcabcabcacbaccacaaaccabbcababacabcacbaccbbacbbbcbbbcaabaccaabcbcacabccaccacbabbcacabacbcaccbaacbccccbcbbacbcbbcaacbbbbababcabcabcbbbbababbcaacccaacbbacbbbacabbacbcbccccbbcaabbaacaababcbaabacabbcaaaabbcbbaabaabcccabacbacbbaaacacbcbbacccaccaaabccaabababbaccbccbabbbbcabacbbaaacbbcbbbacacabccbbcbbbaaabbcccccbccbbabcabbbcbacabacbbbabbcabcabbbbaaababbccccaabbcbbacccaacbccbaacccbabcbabccccbacbcbbbbabcabbaaacabcbcbcacaaaabcbccaaccbaccbbccccbccbaacbacaaabaaacbcbcababbbbabccabaababbbaacbbbcabbbbccaaababcaabbbccacbabbacbcbacbaabcbaabbaacbcaaacaaabababcbcbcabaccbacbbcacbbcaccbabbacbabacacbaaabbacacbcaababaacacabaabaacbcccbcccbaabaacacaacababacbcacbabbbaaabbcbcabacabbbbcbabbbbacbcbcacbcaaabcbcaaababbccaabbbcccccaccbcabbcccaaacbbbbcbcbaabcbaaacaaaacacaaaaabbaabaababbcacacacaaccabcababaccacbbbbcacbbccbcaacaaacbaaccacbacaabcbabacacccacccababababcbccbabbcbbcabbbbccbcaaaacaabaabaaacaabbabbcacaacabbcbbaacbcabcbbbcccbcccbbaaabbccaaabacaaabacccaaaabcaacabcaaccaccabacbcbbcacbbbccbbbcabbcbbacbbbbaccbaccaccbccabaaaaacaaaacaaabcbacabccacbaacccbbacaccabaccbcccaccacbbaabaaccbabacaaabaccacabacacbbacbbccccbbcbaabacbababcabcaccaaccbbaccabcacababcbbbbacccbacabcabcaabacccaaacbcaaccbbcbbcabccabbaacacacacacaaaacababaabcccaabacbaaaccabcabccbabbacbacaaababbccbababbacbbbbbbababbbbccaacaaccbccbbcccbcabcaccbacabbbcbbabaabcbbccaacccbaaccabbbbbcabcbbccbabccaaabaabbabaaaccbbaccbababccabcbbcbbccbcbabbacbcbabccccccbcbcaabacaabcbbaabbcbcabccbcccccbbbabcaabaaabcabbcbcbacbccacbbacacbaabbacbbaacbbcbbbabccabcbccabcbacbacbabccaacabbaacabbbcaaccacbbbbabcaacabbabcaccbccacabcccbbcabbccabbcacaaaccccbbbacbacccbcbbabbbcbabcbcabaacccbbabcbbccbaabaaaaccbabcacabcacaabacbbcaccbaacbcacabcabbbaabaacbcacaacbbcccaccabaabcbbacaaacbabacbcaaaacbbbbcccaacabbabbaaaccacbabacaacabababbacaacbbbaaabccbbbbacbabcacabccacbcaccbbbccacbabaacbcbaccccbcccacbbababcacbbccccbbabccbaabacaacccbabbbccaccbbcaacccaaaacbcccbcaaaacbaccbabccccaabbcccbbbacaabcbccabbbaacbbbcabababacccabaabaacaacabacbcababbcbacccbaabbacbaacaaabaaaabcabcbababaaacaabbababccaabbabaccbacacccaacaabacaaccabbbcbacacbccbcbcaabaacacccaabbabacbbcbbbcbaaacbbbcabccaaaabcbcabcbacbabbabababacbcacacbcbaccbbcbaabccaaabaacbccabcccaabcbcbacbaccaccbcbabbbbcaabccbaaaccbaacaaacacaaabababcbacbcabbbababaaccabaccbcbacabaccaccbcbcacccbcbacacabaccaabbbaabaaccaccbbbaaabbaccbacaabbbbccaccabaacbcbbcccbabbacbaacbcbbabcabbacbabcbbcbaccbccbaacabcacabcaccabaabbabbccccbbbbacbaccabbabaaccccccbacbbcbbbcbabbaabccbabacabacbaabbacaacbcacaabbcbbbaaaccbcaaacbcbbcbcbabacbaccbacaccbbbacabbcaabcaaababbbbabbcabbaabbccbaaabcabbabcaccccbaaabbcbcbbababbcaaaccbabaaacaacaacaaababbcbbabcbaacbabbabababbbbaccaaabcbacbccbbcbbcacaababaaabcbbcccbbacbaacaabcbcabcaaaaacabbabcaabaaabaacbabbbcbccbabbaaacababccbababcabbcccbabbacbacbccbbcbcbcccbcaaaccacbabaabcabcbababbababaaaabcbcacaaaccbbcacaabaccbabcacbcacacbaaababbaaabcccaacccacababcbcbabbabacacaabbccbacbbabaabccbaacbabcbbaaaaccbabcbbabacababbcbbcbccccbaaccbbabcabaacbbabcabaabccabcabcbbaaccccbccacacaacabcbbcbabaabcbacccabcbcabaaabbbcccbbbaaaccbbcbccccbabaabccbbacbcaabacbaacacaaabcbbbabaaccccbcbbbaacacabbabacccaaacaabbbaacaaacaaabbababbbaaaaccbaaabbacbacaabbbcaccbabbaaabaccbbabcacccbccbcbcbbacbabcbabcbcbcccbbcbbbaccaabbcaacacaaababbbacaaaaaaabbccaccacccabbccaaabaccacaababbbabcbbababaababcaaacaabbbccacabaacbcbcccaccbbbabbcbaacbacabbcaaaccbaaccabcbcabbacbccbbbbbabcacacbbaccaacbbabbabbbbcabababcacbabbbcaaaaacccbaccbaaccccbbbcbcaaacbcbabaacaaabbbacaaababacacaccababaacbcaaccacabccabbccbabbbcabaabaacbbbaabbbbacaaccccbacbcbaccacaabcaccbabacacbbaabaaababcccbbcbbcacacbacbbbcccbcccbbcbcbaccaccabcbabbcaaabababcbcacacacacbaaaaacbcaccbabbcabbbcaacaacbcccaaabcaaacacbbaaaaacbcbabccabcbcaccaaaabbabbcbabcbbcbaccaacbbcbcbacbcaacbbcbabacbcccbcabcaaaabcbbacccbaabacbaabcbbbccacaaccbccacaccaabcccacccbabcacbcbcbcbcaaabbbcbaccbbcbaaccbaccbbccbbcbcaacabbbbabacaacaaaaaaacaabcbbaacbbaaaaccabaaaaabbbcbbabbcacacbbaacbbbacabcaccbacababbcacabbacbbbcbcbbaccaaabaaacbaaaabbaacbbcbbbbcaaaacbabacaababcabaababbaaccbcaacaccbaaacababcbbbbacabcccccbabaacacacbbbcaaabbbccaabcabbbbccccbacbaabbcbacbbbaabbbacbbabbcbcabccaaaacccbcbbaccabccbcbacaccbaacbcaaaccabcabaabcacacaacaacbcbcbbcccabbabacbcccbbcababacacccbcaaaaacacabcaabcaaacacaacabcacbaabcccaabbabbbbabbaaabcabccacbacccbcbcbacacccacbbbabaabbbaacacbcbabababaccaaababaccbbcaacaaaaaccbbabcccccbbbabcbcbbabbaaaacccbbbccbababaccbbcccccccbcbccaabcbbaabacacbccbbbbbbbbacaccbbbbbabbbccbcbabccbbccbcccbbbaacbbbbcaabcacababaacaccccacbccacababaabaccabcccabcbbbbbcbccccbbaacbcabbabbcaccbbbbccaaabcaacbcacccbcbbbbaabcabacaccacbcccabbcaaacccbccbbbbbbabcccccbccbcbbabbbabbabbbbacbcbbbaaabaaaabcabcbabccbabbbcaabbcbaaccacacaaccbabbcabcbccaacbccabcccbacacccabcccccbbcbaabbbbbbccbaaaaabbcabacabcacacabccbaaacbabcacbacaabaccacbaccbcbaabaaacccacbacabcacaacbabacbabbcaabccabcaacaaacabbbcccbcbbcabccaacacaccbcbccbccbbbabcbcaabcbcaaaabbcbaacccbbacbbbbacbbbaccbcabbbcacabcbbbbccbbbcbacacbcbcaccbabcccbaacabccaccccaaacccccbbaccaaabcbaabbcaccacaaabcbbaaaaaccbbaaacbababccbaaabccbbcaaccabcaaaababcbcbbcbabcbcbccbbcbabbbbbbcbbcbccabccbacbcaccbbcaccaccacbacaabbaaaabaaabbcaacbabacbaaaccbccccaaacbbccbbbbaccaacbcabaaabbabbccaccacaaccbbbbcbcbbbccaacccbabbcbaccabcbbaacacbaaccacbaccbacccaacacaacccacbacababcbbaabbcacabacccacbcbbcccbbbcccbcaccbbaaaabcacacabacbbbaccbaabbbacbacbbabccccbaacbcbcaababaabbacccccaaaccabcbccaabcabaccaccaccbacaabaaabbbaabacbbacabcbccabbcccccbaaaccacccacacbbcbbacbbbcababbcaabcacacaacacaaccccbacabbbbccaacaacbcbaabcabbbcacabcbbcababaaccbcccbccbccbbbcacbbbbcbccccbbbccbbcbacbbabacbbaaaacabaabbcbbcbbccbaababcababcbacbcccbabbaaccccbccacaaabacbccbaaacaccacbbcbaacacbcaaacaaaaabaaaabcaccaabbacbbcccbababbcabacbabaababaccbaaaabababccbcbcbaabacbcbcaccacacabcbbbcbaabbbaaabcbaaacbaaababaabbabcbcaabacabbcbabaacbbabacbacacaaabbaabcababcbaacaccabbaaabcaacbabcaacccbacabaccabbbcccababbcaaacbccababbcbcabbbcacbaabacaabcbbbcbcbcbbcccbabcacababaabccbbbbaaabaabbcbcbcbbabaaccccabccaccbbbbaacccbbbccccabbbcbacbaacbcaabacbccbabbbbaaacccbbabbbcbcbbcbaaabaaaaabbbabccbabcabbaababbaacaabbbcbacaccabccbaccccccccbcabbacccbbbaabbbbacaaaccbaaabcacbbcbcbaaacaabbaaaabcbccaabbcaaaccccabacbbcccabcaccaaaaabbcbabbbabbabcaacabcababcaabcaabcbccbbaacbababbcbcaaabacaacacaaabcccacababbbaababccaabcccaaabbbaaacaabaacbbbbcbcccbbbccbbbacaabaaaaccabcaabcbabaabcacbbbababcbcccbcbcbbbbaacbcbcbcbacbbabcbbaccbacaabccccaaabacababaccabccaabcccaccccbcacbaabaaacccabbcbacbacabccbabbabbbcabbccaabccbbacbbbccaacaccccbcaaacaccbbbbaabcbcbbacaabaaaabcccabacbabacbcabcaacabbaaaaaaaccbcbbaaaabacabcacbbacabcaaccaaaccbbaabccacbbacbcccbbaaabcabacbabbcababbbabccacbcacbccabacaacccaacaaacaacabcabcaacbbbccaccacbaaacbacaccbcaccabaabccabccbabacbaabbbcacabcbabbcbcaacacbaccabcbbaaaaacabcbcbcabbccaccbabaaabbaaccabbbbcbbbaacbbcbcbbaacbbbcbbcbbcbbbaaaaabcaacbbbbbbccbcccacabbbcbaacabccaacacabaccabbbbacaaacbabaacaabccbbaacccccacbccabccbbabacabcabbbcaababbaacbbababcaaccacccbbcbbbacaaabcabbbaacbccaaabcbccaacbaabcabcbbacaaabbbbbbcabbbcaccaccaccabcbcaaaaabbacbcaccabbccccbbcabccaacaacbbbabbcbbabbabcbbcbabbbbaabacbaaabcbbccccbacbccacbbbcbccabcbaccbcaabababbbcaacabbcabbacccabbacbbbcbbbaaccacbbcbaccbcabaaccbaaaaaacbccbbacaabcbababbbcbccbabbcaaabaacbacbbaaaaccacbcacbaabbaccbcbbaccabaabaacbcabbbbccccabbbababbbbcbcccbaaaaccabaacabcccbcaabbbbaaabbcababbaabaacccbbabacaaccccabaabbabbccaaacbacacbabcabbabbbcccbcabcccabcbabccccbcacbabbbaaacabcbaaaacbcccbbaaaaababaabbccaaacccabbacabacbabcbaaabbbccbbaabcacbbabaaacacbbccbbbccacbbbaabacacaccaabcccaacbaabbabcababbcbbaababbcbabcbbacacabbbbbaabbbaaaabcbbbbcbbbacccbacbbbaabbbcbbbbabccacaccbcbbabcaaccaabcbacaaacabbcbbbbacacccbbcabbabbccbbacaccbbaabbcaabcbbaccccbaaaaacbbaabbcabacaaccccacbcacbabbcccaaaaccccacabaaabcbcbacbccbcacaacbabbaccbbbbcaccbcbbbbbbcabaaaabaacabbcbccbccbaaacabbcbacaacbbbcabaabcabbabcacccabcbbabacabccbbccabbcccbcbaabccaccababbacbcccaacbaacbabcbcccacbcabbabbbbaccacbbbaaccbbacabccbccbbcabcccbbabccaacacacaccacaacbcaacacacaababbbcabbbacaaacbbaaacbbabccbcbcbaacbccaabcbacbbcacccbabacaacbaacbaaccacacaacabacbbcaabccbbcaccbcabcbbcaacccabccaccbbbabaaabacaccbcbaacaccbcbaacbbbaabbabbbccabccbbbbbbbbcaaababbaaaabbbbacacbaaabbcbbacbabcaacaabbccbcbbacbbbbcbacbacbacbacbaacabbaaacbacbbaabcbcbccbcabaabccbbaabcbbcaabcacaaabbcacaabababcaabaacbabcccaccabbabaabcacaccbbaacbbacbbccbcbcabbacabcacbcabacabcabbcbbbcabbbaabbbcbccaacbbbbccbbacaaaaabcbccacccbcaababbcccaaaabcbaaacbbcbabacaabbbbbccccbcccbcaabbcbabbccbaabacccaccacbcccbccbaababaccbaaccbcacbcccabcbbacccbcbaccabbcabababaccbbccaabbcbabbabbabbbbbbbaaabcabaabaacbacabcbaacbaaababccbcababbaacaccbccbcabcaaabbabaabbaaccaccccccabaaabbcccbcbbaabbaabaacacabbabbbacbcaaaaccbbccaaabababaaacaaabcabcccaaccbacabcbabaacbcacccaabcababbbbcacbacbaacbcbcaaabcbacacbbcacabbbcbbbbaabcacacbcaacaaccabbabbcbaccbbabacbaaccbbbabccccabcbcaccbcbabaccbcbccbaabaaabcacabcaaacabcbbbbaabbaaacbacabccbbcbcacbcaacabacacbbbbabcaacbcbabbabaccaaaaccaacbcbabbcacccbbaaccccabacabccbbbabcbabccabcbbabbabccbabbaacccbbcaaacaaaabaabaabbaacacbabbabbcccbcacbbcbaacbcbacbabbacaaaabaaabbbacabacbbaccaabccbbbcbcbcacbabaaccbaabbaabbbabcbbcccbccbcbababccaacccbcbbacacbbcabaaaaacccbccacabbcaaaccbcaaccaccacbbacacaaaaabcaaabbaaaacbccaacbacbbccaaacbcbccbcacbaaacbbacaabbbacaccccbccbbbcbcaabaababcacaacbbabbbccaabaccbacbaaabaacacccacbaaacaacaabcacbaaccccaaaabaabbcbacbabcbccbabbacbabcaaccbabacbcaabaacbaaaabaaabaabcbbbbcccbabbccccbbacabccabbccaaccabbbccacaacabbbcbbbbaababccaaabbcbcabcbabacaaacabaaabaccabccbabacbccaacaaaaaacbcaccabccccabbcacbbbcacbaccababcccaccacacaacbcccbcbaaabbcabbbbbcbbaccaccccbcccabbcbbcacaaacaacabbcbbcbbacbaccabcbbabbcabbacaacaacabbccaabccacacbaaaaccaccbacbabaccaabbcbacbacbabacababccbbacabbcaaaacaaccbcacaabbaabbacaccccbabaabcbabcacbbbcbcbccaacbbcabacbcbabbbacabcaaaaccbcbaacbcccaababbbbbcbccbaacccccbabbabbbacbacaabbacbacaccbaabccbbcacbcccccbcbbbbbcabcbaccbbcbaccababccbcabacaaaabcacccbcbabcbccbbbcbbabccbbabcacbcbccabcacaacaacaacccbabcabbabbccabbccaaacaaabbcaccbbaccbccacabcabbabbaacbcbbcababaaacaabaaaaaccaccccbabcbabaaccacaabbccaabacababcaacacabbcaaabcbbbcbcabbbccabaacbbcaaccacccabbaccaacbacbbcccabaccabbbcbaacccbabacabcaabcabcbbacbcccabbaacbcbcaaabccbbcbbaccaaacaababcabaccaaccbacacbbccbbcbbcabccacaaaabcbccccbccabaabaccbbbcaabcababaccbccacaccaaaaacaaaacbcbbabccbbbaacbcccacbbabccbcbcccabacbbbcaccbbcbbcbbccccabbcacbabbabacaabbbccacbcaccababbaacbaaccaccabacaccccbabbbacabcbabbbabcbcbccbcacababcacbacaaaccbbcbaaccaacacbabcaacabbccabaaaabbbaaaaabcacbccbabbbbabcbbcabcaccccbbbbbccbccacbbacbaacbcacaabbacccbaaccaabbacbbbccababcaaccbbabccacacaccabbbccbacabccababcacaaacacbacbabbbaaacbbbbacbacbcaccbcaaccbbbaaaaabbccbaaacccacbbcccbcbaabcbaacbbcccbccbcaabbcacbaaaaabcacacbcacccbacbbccaaccbcbacaacccabcbccabcbbcabaabaacbcaaabcaccabbcacbabacabacaacbccaababcacaababaccacbaaaabcbaaacabaacaacbccbaccbcbacabacbbcbcbacabcccccccbacaacbcccbacaccaccccccabccaacccaaccbacbcbabbcaccbcbbcacbbcbccbcaaccccbbabcccbbcccccaaaaaaacbbcbcaaccacabccbcbacccacaaacbacaccaabaaccbaaccbabacabbbcbabacbbcaacaaccbbbcbbacaabaaaacaccbabccbcbbbbcbccabcabaabbacaaaacaccbbbaacbacbbacbcbaaaaccacbcbbbaccbcabacbccacbaccaacbccbcbbbcacabbbabcccaacbaccbccbbbccaabbbbcbcaccccbccaaaaabcbbbccbabbaabbbcbbacbbccababbbbbaabaccbbaabccabbacccabbcbababcabbabbacaabbbcbaabcaacabbcacacccacaacbaabacbcbbaabababacccaabaaaababcababacbacbcbcaccbbbbaabbccccbccccbabbbaacaccaaccababaacabcbcaccabbabccacaabbababbcacaaaaacacacaaccaaaccaabcbcacaabbbaacbcabbbbabbaabcbaabbcbaccbbaacbabcbabbabcccccbbacbcbccbacacaacaabccbcbacbbccccaaccccbcaacacabcbbcbbbccccaccbaaabcacaaacbbbababaaccabcbcbbaacaaaccabcabccabcbcaabcbaababbcabcbaccaccacabaabccabcbcbaccbaccbabbaabaaccbcbacbcabcabbccacabcababcaccbaaabbbbcbbabaabbbaaacaaccbcaccbbbaaabbbabcacbabaccbcbbaaabbababcbaabcacaacabaabacccabbbaacbbabcbccaaaccbaccbbccaabbbbcaccccbbaabaaabcaaaccbabbbbaabbcccbbcbcbbaaaabbbcaabbcaaacccbababbaacccbabccbabbcabacababbabbcbccaaabcaaabccbbcbbbcbccbbbaabcabacbaacbbbccbcbbbaacccabaaacabcabbaaaacaabcababcbaacbccaabcacacaaacacacbaacbaccacaabcabcbccaacaabcacaaccbcccbacbbbacccabaaabbbcbabccabcbabaaabaacacacababaccacaabbcccbcacaabbabbabbbcbccababcabbaaabcacabbabbccabacbcbaacbabcaaabbbabccbcbcbaabcabbbbaccccaccaabbbaabbacaaaaaaabbabcbcbcacaccbcccccbccbaababcbaccabaaacbbacbacacbabaacbcacccbccbbcabcbcbbcaacbbbccaaababbcaacbcbcacaabbbacaabbabbcbcaabcbbcbcbcccbacbaabcccbbbbccababbacbbaccccbccccbbcaccbacbabccbabaaabbcacabbcaaacbccaabacaaccabaabbaaabbcbbbaacccccababcaabbcaaacabccbbaccbccbaaacbcccbaabacaaacbabaacbaabacabccbacbbcbaaabaaaacccbbacbcabcbbbccbcaaacacbccbbbaababaaaccbaaacaababcccaababacbbbbabaacbaccaaaababcbcaacbacacbabbcbbbbcababcbbaabababbbcaabacabcaacaacacacabcbcaaccaabcaabaaaaccbcbbacabbaaacaacacbbbabababccabbbcaccbcbacccbaccaabacacbacbcabbcabbbcbccbaacbcccaaabbabcabcaaacccacbaabbcaacaccbbbabaacaacccacccccabccccacbabccbcacbbbabbccbbaccbabaaabbaaabbcbbacbaccbccccaccaaacbbcabbbbccacbaacaaaacbcbbcaaaccbacbcabbbacccabbccbbaacaabbaabcacaaccaccaacbccaacbaaacabaacaccbcbbaabaabaabbaacbbccccacccccacaaccccccbbabbbcbbcabbccbbacbcaaabbcbaabccacaabbcabbabaaccbaaccaccaabbbbcabbacabccabaaacaaccbcbabbacbcaaaaacbaacacaccbcbbaccbabbabcacbaccabaccaacccbacaccccbcccaacaccccacabbacccbbbbabbacacaccbbbbaaacccaaaccccbccababcaababcbbccbbaaaccbaacaccababbabbababcaabacaccaccbabacaaccbbbbcababbccbbacbaabbccabbbcccacccabacbbbcbbbbaabcabcbabcccbbcbcccbacccccccbbababcbaabcaabaababccabaababaabbaabcccbcacbabacacccacbbcccbcacccabccbcaacbbcaabcccaabcacbcbbaaaccbbbaabaccaaabcbccbcbbbcabaccbcbbcabccabbacbacccaaaacabcbacbcabbbbaacbcbcbacababbbbbbabbcacaacccacababcbbcaaabbbccbbbaccbbaccaaccccaccaabcbbacacabbbccbacaabacacabacaccbbaacabacbcabbabbbbaabbaaacabbccacabccaccbbbbcaabbccaabcbbaaaacabbbabaaacaaccaabaabcbacccaaccbbcccbacbaacaacbcaccacccacbcabbacbbacbaacbcbbaababbbbcbbbbacbbccabccbaabacacbbaaaabaabccacbcccabaabcbacbbaaababcacabacacabbabaccaaababccbbcbcbcbcbbccbacacbaacccaacccacbccbabbababaacbaccabccbaabcaccababaaaaacaabacacaccbbbccccbbccccaaabccccbacbcacaababacbacbbbabccaaccbccccbabbaaacbbabbbaaaaaacaabacacbabaabbabcbaccbcacaaaccaccacbabbabaccababcabbbbcabbabcbcbbbbbcbccbcccbcabcbbcbcabaabbbcbcccbabbaabccaaabaccabcbbcaacaccabacbacbbabacaaccabbacbcbcbccabcccbaacaaaaacbacacbcacabbaaabcaccaacbbbccbaabccabaccbcbcbabacaacaacccbbabaccbbcaacabccabbbbacbcbbbcaabbbbbbbcbacacbbaabaaacaabaccaaabcbbaabaccbbcabcccccccbcacbbcbcbabacbaccbcccaaaaccbccaccbcabaccbcacaabaccbbacabbabaaabbbcbbcabbcaacbcbabbcccabcccbaacccabcabcccacaaaaaacabbacbabababcacaacabacbaabbabbaabbaccbacbbbabcacbacabaccbacbcaaacabcbaccaaaaaabaabbbabcbaaaacbbaabbabacaaccccccbbaacbbacacacccbacaccacaccabacabacbbaccbacabbbaababbccabcaacaaaabcbaacbcbabbacacbbcbcbcabccabcbccbbabaccccabaccbabaabbabcacbbabcbbaccbcaccbbbcbcababcacaabacabcabbbbbaaabcacbbaabbacaaaacabbcbabcaaaccbcabaccccabbcbcbabbbbbbbacbcabbaabaaacbbbaaaabbccbbcacacbccbcaccbbaabbcbcbacaabcbcbacccabbbcbaabbbbbbaccbbbaabcbccaaabaacacacaccccbbbbbccbcbcccccbababbabbccbcbccbbabccacaabcbaccbccbabbbbbabcabbabbbbaccbccbacccacabcacccacabcbbbaacbaacbacbbacbbaacbccccbbaaabcabcacbabaacbaaccbacacacaabbbbcacaaacacccbbcbbcbcbacaacbcccbcbcacabcbbacaabbaccaabcabbabbaaccbacbacccaabccccccaacacbbccacacbcbcaacaacbaacacabccabcaccbacbccabccbbccaacabcacaaaacbbcaacabacaccaccbccacbbbcabcacccaccccbcbbbacbbcabbbbaacbaababcbacaacbaaabaaccbabcabbbacacaabbacaaabacbcccbcbbbbacaaaabbbcbbccababcababcbcacaacbcacbcccccaaabcacaaacbababbabbccababccacccbbbcaccbccaaaacaacbaacacbaaacccaccacbccaaccacaabbbcabcbbcbbbacabaacabbabcbbbcbbbbaacabccaabbbaabbbbbbacabbcabbbcccccaaaccaababbccbcccccacbacacbbbbacbcabacaaaaacabcbcaaacaabcacbcacabbcbbaccabbabbabbbabbacaaacaaccbccaabccbccacacaccacccaaccbbaacbcabbcabbccbabcbcccbbccbaacacbcbccaccbabaacbabbcbbbcbcaaacaaabccacaabbaccbcccccaccaaacaaaaabbabbbcaaabbbcccbacbcbaacbccbbbbbbcbacbaaabbcbbccaacccccacbcabacacbcacbacabbaabcaacbcbaacbcaccaacabccbaccbbbbcccbcaabaaaaacbcbbabbcbbbcbcbacabbccbbcccaabccbcbbbbaabcabaabbcbcaaaaaabcbbaabacbaaabbbababbbcbacacccbaccbaaaabbccaacaacaaaccbbabbcaaccaabccbbcbacaacbacaabccbcaaacccacacbaabbcbcbbbccbcbaacbabbacabacababcbbbcabacaacbcbbcabcccbbbbcababcbaacacbaaacabaaabbccaabcabbabaaaacbcccbaabaacbccacbcbabcbccbabacaccccacbcccbacccaabaabaaabbabbbcababbbcbcaaaabbbccbcccccccabbbcccbabccabbacaabbcaccaababccaababbcbaabbccbcbccbbcbcbbbbbaabcbcbabccbcabaabbbcbaacbacbbbaaaaaabbcaaaaccabcacabccacbbcbbaababbacabaacbabcbbbcccccbbcabbbbcbcbaaacbbcbcbccaaccbbacccccbbcacbbcbbabbabacbacbcbabaccacbbcbbbacabbacbccabaabaccbbabbaaaabbbacccaaaabaaabbaacbacacababbbacbaabaaabbcaaacbacbccbacacaccbccacbcacbbbacaacabcaaabbbacbbaaabcbacbaacbbaaacbccbbabbcbcaababbababaabbcbbaabccbccaabcacaccbbbcbbbaccbbbbbacaab
aaacbabbabaaacbccaaaabcaabbcccaacabaacabacacbabaabcbbaabbbccaccbbacaacaabbaccccbcaabbcaacbaaaccbacbcaaabacabccbcbbabacababcacaacbaabaacbbcababcbcababacacbcacbcbbcbcaaacbbccbcabcbbcbcccaaabaabcabacaaacbbbbcbbccaabaccbcacbacccacabbcaacacacbbbcacbbaaacaaccbabcabbbcbbccbcbbabcaaaaacabbbaabbcaacacababcababacbaccccabbcbacaaabccbccbcaccbcaccbbbcbaccbbcbcccbbccbababcbccbccacbabcabcabcbabbacabbbaaaabcccccbcacccbbbccbbbbccccccbbccccccbaacaabccaacaaaabacabcbbaacbccabbcccbbaaccbbccabacccbacaacacabaabbbabcaabaaccbaaaaaaacbaccaaabbcaaabacccaaccbaacacabaaabccabaccccbabcabaaacaccccababaabcbbacbaaacbbbccbbaccaaabcccbcacacbaaaccaabcacacaaabacbcbbaaaccacbbccbabcbccacbccbbcaccbcbbabcbbcacaabaaabbaccbbabcaacccacacaabbbaaabcbccacbcbaabbacabbcbbbaabcbbbacccbccbacabccaacbaaaccaabccccabaaaabacaabbaaaabbccacacabcacbbacbcaaabccbbbaacacbbbaacabbaacaabbaacbbacaaabbbcabbacaccbcaacbbbbcaacabbbcacababaccbccbbacababaaabbabcbbbabcaaabcaabcbcaacbcbccbabcbcccbaacbcaaaaccccabaabbbcbccbacbabcacaccbbabaacacbcacbbaaccccccbabababaccbcbcbabbaccacaaacbbcbbcbcbaccbbacbcccacacacbbccaaccbccccabbacbbababcaaaaaabaccabcbbcbabaaabbcabcbbaccccbacabaaabcaabcaabbabbabcacabacabcabccccbbaccbaaabbbabacbbaaababacaacbbacbacacbcabaabacccbabbabccbcbcaaabacaccabcbbcacbcbacbcbcbaccaccbaacbbaacbbaabcbbbbcabcacbccacccccbaaacbbbbaacbabbcacbaaaaababbaaacbcbbcaccbbbcbccbccabacbabbcbaacccaccabbabacbbbcaacabbacabbccbcacbcbcbcbbacacabacbbabacabcccaaaaccbccccbabbcaccbababbacababbbacccaccacbabbaaaaabbacbcacbaacbcabcbbaccabcbbabbcbabababccccbbbbccacbbcabbbaaacbbabbccbcaacccccbacabbaaccbbbcbbbccccbccbbbaaaaacacabbaaabcbaacbaaccbbcbacabcccbababbbcaabaabaabaabbbabbccaaacabbccacbcacaabbaabcacbbcbbabacacbcacbcaccababbacacaaccbcacaaaaaacabccccbcabaaabbcbbcaccbbbbccacabcbbabaccaabcabcabbacbababbcaccccacbccbbaababbaccbabcaacbcbaacacaababcabbabccabccbbaabcbbcabbbaabacaaababbccccaaabaacbcabcbbaababcbcccabcbbbcaabbacabccacccbacbbbabcbbacbcbcbbccacbbcabbcaabbbabbacaacbacbaaacbacaaaacbcccaaabcbbaacaaaaccaabcacbbaaaabacccacbccacacabcbaaacccabccbcccbccccbaaabcbbabcbacbbbacabbabaabbcacbacbbcacabcbaccaabbaabcccccbababbababbbbcaaacbbabbabcbcbcaaaaaacbacabcbacaaccacbcabcbcbacbcbacccbcabcaacbbaaaabaaabacbcbbacbaacbcacbaabbcbabcbbabccaacaccbacbbbcacbcbabcaccbbacaacbaabcabcacaabcbcbbbbcabbcbbababacacbccccacbccabbbbacabbaccaaaabaacbaabcacbbbbbaccccbcccbbccccacacabacbcaaacacbbbcababcccbcccaccaaccbbcbacccccaccaaacbbccbaabcabcabbabccbacbcabcacbccaaccbcabccbbccbbacbbcbcbbacbcacccbbbccbbaabaaccbabcbbcbbacbbbcaacbcacbaabbbbacbbbaabbcbacbaacbcbcaacbbcbababbbcbccacaabcccaaccaabaaacbacaacababcbcbacaccccbaabaabcbbccacaccccabaccbcbcccaaabccabccabaaacacbbcbabbbabccbcbbaaacababcaabbacaacbbabacabcaaaabbaacabbcbcaabcbbaacccbacaaacbccccbccccbcbccccbcbbcabbabbbbbabbacbcabcaaccacbabcaccbaccacacacacaaababcbcccccacaabababcbbbcbbcbaacccaccbaabaaabbbbbbaabbccabbacbaaabaaaabccbacaabaaacabaccbcbcbbbabccacaacacaaaaaaccaababbacaaaccbcabcaacaccbbacbbbacbbcbccaacaccaaaccabaacbacccbcbaaccbcacbabaacbcbccbcbcaabbbcacaacabacaaccbabacabcababbababcbacbccbccbcaccccbacccbbcbaacabccbbbabbcaacbccaacbacacccaccbabaacbcccabbbcabcbcbbacbbccacaacccbacbcaccbcbbababbbbccbaaccbaaccabcabcaabaccaabaaabbbbacabbbbabcabbbcaaccaaababaacbcabbaccbbcccacacbcaabbcbcbaabbacccbacaacabbcabcbbcccccbbabcccbbcbbcaccacbbcccabababaabbaabccacaaaaaccaaaabccbbabbbbaccccaaccbbaababbbaabacabccbcbbabcbacbcbbcaaabcbbbcbbbccababbccababaabcbbcccbbccbccbcbaccbbabcccababbbcacbbbbabaaaabcbaaacbaacbacccbbbccbcccbcbbbbbccbaaccbbacacabcbccbcacccabccabbbbabcabcbbaccbabbbbcbababbacacbacccbcbaabaacbabcccbccabcbabacaabbabaabbabcccabbaacacccccccbacabcbcaabcbacaacaaaccabacccabbaacabbbcbaacbbbcbcccbccbccbbbacacbbbcbbbcabaabaacbacbaaabbcabcaabcccccbaabacbacaaccabbbaabbaaccbbccaaccccaabaaaaacbbbaccccccababbaccbacabbbbcbbbcaccbbcccbcbcccbbacccabcaabbcbbbabcbacccbacbcbaaccbcaaacbabcccbcbcbcaacaabaaacaacaacacbabbabaabbcbbbcbcacacbbbacbbbbcaaccbacccbbcbbccbcbbabccababaacbaacbacabababaaabbbacaabbcbacbbccbabaacbbacccb