bccbccccacabcacaaabcccbacbcababbbbcbbcbaacbcabcbacabaccbbabcccbaaacbbbbbbacbaaabcaabbcbabcacacbaacbbabccbcaabbaaabbbabbaabaabccbcbbbaacbbabcbbbaacbcccaaacacbccabbbabaacbcccacabbcbcbbccabaacccacaaaaccbaabaacbbaaaccacbccaabaacbccabcbacbcabaaaccbccbabbccccaabbacbbccaabacbcabbcbbbbaccabcacbabaccaaaccabbabaacabcccaccabbcbcaabbacacbaaaacbcabacabcabacbacbcaaccaaacbcabcccbbbcbcaacababaabcbcbacacaaacacbaacacaaacbccacabbbccbbcabcaaccacccbaababcbabcbccaaacacaccaacbccabaccaacabacabbbcbbabbcbaaccbbacccacbbbcccccbbcaaabaccbabaaaaacbcabccbbccbcacaccaabaaaaaacbccbacbbcbbbaacabbbcaabcaacbbcbaaccacbbbbbbbbcaaacbbabccabbaabaacccabccbcbaabbacbacccbaaaabcccaabaaaaccbaabcabcbcbcccbbbbcabaaacabacaaacaccbbcbcacaaabbbccbbcbcaacccccbbabacbbbbcaaabcbbcbcbccacacaaabccbbaacbabcaabacbbbbbccaccbaaccaaabbccacaabbabcccbbabcacccbabaccacaccccbacccaabaacaacccabcbcacbaabbcabacabbccbaacbaccbaacacccaabacbabcbcccbcabaabcabcbbcbaacbacaabaacaaaacacaccabbccacaacbabaabbaaabbbacbabbbbbaacbaabaabbabcaabccbcbcccaaaaaabacccbcbaabaacccaacabcbacbaccacbcaabccbbcbaccaabcbcbbbbbababcccaacbccabbccbccaccbccabbccbacbaaaacbacaacababbcabbbbbcabcccaaababbbaccbbaacaccbcbcaccbbbccbcccbaacccbaaacabcacbabbccbcbccabcccbaccbbaabacbccbaacaabbbbaacacbaacabaaccbbccbccbacbcbbabbccbccaaaacccbcacabbabbaccabccaacbaabacbbaacabcbaacbcababbacbacacbbbcaabcbaaabcbbcccacabbabbcacccbcaccccabcbbaacbbbaacbaacacbbabcabcacabccbacbccaacccbbaaaacaaabaccccaabbcbccbaabacabbacccacaccbabaacbccacccaaaacaaaaaaabbcbcabccbbbabccbcccbaaccaaacbccabaabcacccaaacacaabacacaacccbbbbccabbacbbcacccbaaabcbcaabcaabcbababcabbbcbbbccbccccbcaccccbaaabaabccbbacbacccabaabbbacacbcbacbbacacbcbabcabcccccabccbcbbbabbcacccacbbbcccbaaaacaabbbccccacaccaaacbbcbbaaabaabaaacccacabaccbbbabbbabccbbabacbcccacaaccabaaaccbaabbcaabaccaaaaacaaabacbbabbcccbaaaacaabbbbaaabbbcbcbacaccabbbbabbbcbcbccbbaabbbcbaaaaaabccacabbacacbcbbaaabbaabcacacbabbaaaacbbaaaaacacbaacaacabbbbabcaaccaccabcccbbaabaaccaacbcacaccbabccccbbcacaaacacabcacccaaaabbbbbacbcaabbbcabaaacbaabaccabbbccccacacaccccacacbababbbcaaaacccbaccbbcbbcabbaacabacaacccbacacbaacacbccbbbbcccacaabbaccaaababbcaacaaabaccaccccabbacabcbcccccbcaabcacabccaaccaabcbacbbcbccbacbcacbccaabbaacabcccaaaccabbaccbabcbbaaaaccbacacbcabbcababbbcccabcbaacbcaccbccaacccabaacabcbbccaaccaacabacbaccbbaaacbbcbaaaccbacbabbcaacbacbccbabbccacabcccbabaccacbacbaacaacbaabbbbbcbababaaaaabcbbccacbbcbabcacccabaaaacabcbcaacaabbcbaaabacabbcabaccaacbbaccbbbababcaaaacaccccbccbcbcaaaaacbaccacaabccbaaabbabacabaabcccaccacbcbcbbaacbccbbcbacbacaacaaccacbcabacabbbbcbaababcbacaabaacbacccababbbcbccbacaabcacacaacabaacacccbccbcacccccabbccbabbbccbbbcbccacaacabcbaabaaaccccbccabbbbaaccabaaccbaabcbcbacaacbbcbbcabcbaaaabbcaacbcaabbaacccbacaaabbbbbcaccccbcbacacacbacaaabbbaabbbaaaacbcaacaaacbacaccccabbbabcaaabbaccccaaaabbbbccbbcbccabcacbaaccbbbaacaacaacbbbcaacbaaabaabcaacbaaaacccaccbbbcccabcacbbcccccbabbccabcacbaccacbbabbcbcbabaaacacabcbacaabccccbcacabcbbaccbcacbacccccbaabccacabcabbbbcbccbabccbacbbbcbaaabccccbcbbacaaacaaaaaacabccaacbcccaacbaccaccbaaacbbcacababcbcbbaccccbccabbcbabcbbaaabababaabbcccccaccacbbabacbccacbccccaccbbcccbabbbccacbaccccaaaabcbabacbbbcccbabaaccacabaaccccbaacacabacacacaaabcbcbbabccacccbcabaacacccaaacbbccccabbaaaacbbbacbacaaaaaaabaaccaaacbbabbcbcbacbbabcccaabaccabbbacbcbaccbccabcbbbaccabbccccbcbcabacccacaacccaacacbbacaaccaabcbaccabaccccaaccbbaccbccaacaacbcbacaccaabbaabccbcccbbacbbabbbbabcabaaccbcabcaaacaaccbcbbcbcbbcccaccaaaacbabcbcaabaabacabbaaccbccabbaaabbbaacabbbaabaacabccccbcaccaaabcabacacaaaaaababcccaaaaaabbbccbcccababaacccaaaacbbcacacaabcbabcbbaaababbcbcaacaacbacbccaaaaababbaabbbabbababbcaaccababacccbcbcaccbabcbbbbaacbacbccbcaabbcbbaabaaabaabacababbaaaaacabacacbaacbcccbaabaababbccacbaaccbcccbcbcaaaaaabbcbabcaacbbbcacbcbcabacbcbbcacbccccccbbcbccbbbcbacbcaacbcbaaacbaacbccccaabcccabbaabbcbacbccbbacaababacbababbaabcbacacaababccaacccabcacaaababcbabcbcccabbcbabcbcaacbcbcaaaabccaccacbccacccacacbcacaccaacababbccbbbcccccbcabcbcacacbcbacaabcbaacbabaacabcbcacbaabacbcbabaccccbccacbbbacccbcbaacaaabbcaaccbacbcbbcbabcccccbbbbcaaacbbacbbcaabcacbbacaaaabbabccacbbbccbaaaabaccccccbbcbbcacaccacabaacbbabaabaccccaacbbbabccaacbbacbcaccbbcbcbaabaabbbbcabccbbcccbcacabbccbbcabcbcabaabcbccccacbbcbbcbacaacbbacbbaaccbbbcccbccbcbccacaabaacaacbacababccbbbcabbabbbcaacbbabcaccbcbbacbbaaaacbbcbbbababbbcacbcbcbacbcbbaabccacccabcccbbbbcabaacacabccbbbcaaacbcbaabbacacbbccccaabbcbbbabcbacabccbacabcccbabbacacaacbccbacbaaaabacbbbccbbbabacbbcabbcaacbbcaaccaacbbbcacccbbaabccaaaabcbaabbcacabccaabbaaaaaaacbbcbbcbbbacbacbcccaaabaabbaabacaacccaacbaaaababbbabbbaabcbccabacbbaccbccbcbaabbbacbaabaabbababacbaccbbbbaaacbcbcbcaccababcabcacbbcabccbbccccbbabbcbbbbaaacbcabbcbbcacacbbcaacbcacaabcbababaabaccbaabcbbbbcbcaacabbaaaaaccbaacbacbbbcbabbccbbabccccbbaabaacccbbbaccaccbbccabbabbaacbbaacacabaabaccbcbcacccbbcaabcccccbaaaabbbabaabcbbcabcccccabaabacaaabbbacbabcaaaccccbaaabbaaaabaabbbabccaacabcabbbccbcccaacbacccbabbabaaacccacabbcbccabcbcbabaabaccaaaaacbaababbcacaccbbaccccbbbbbbccaaacaaaacabbbbbbbbaabcccaacccbcccbbcbacbbccabbcccbccaabbacacbcabbaaccabcccaabbbbcbacbbcbbbacbbccbccabcaccacccaabacababbbcaccabccaacccabaabbcabacaccccbbcabaabaaabacabbaacaacccccbbabcaccbbaaababcacaaccbbcaacbccaaccbababbacabccccaabcaacaabbcbabacaaaaabaabacabbcbbcbaccbbacacccacbbcbcaabcacbccbaabbcaccababacbbaaababcccabcacbbaaacbbacbaaccaabbaabbbcbacbcbabbccbcabbaabbaabbccabbabcaabaaaabcbbccbacacbacbcbaccbbbccccababbaccbacaccaabbcbbcabcbbccbaaabbbbbabacbacbaabcccbbbaabaaccabccaabbabbbacccbabcaaccacbccccbabcaabbbacaabacaccbbcbbaacabbacaacaccbaaccbabccbbbbccbcbaaccccbbacaabcbbabacabbcbcabbaaccabbaacbbbcbcbccaaaabcbabbbbcbcacccbbcbcacbcaacccbcbbbcaabccbcbabcbccbbbcababacabcaccbbcbbacbaaabcaabcacbcabbacbbbbaacbcaabbbbbacbbaaabbbcbcbcccccaacaccbcbcaabacccababbaababacacbcbaabcbabbbccccaabaabcbcabacbcbbabaabcbccbababbccaacbcccbaaabcabcacbcabbbabbbcaabccbccbcabaacbcacabbcbbbcbccbaacbacbbbaccbaaababbcabbbcbbbabacbacbabbcbacbabaabbccccaacacbbcccbbccbaaaacababaaaacaacccabccccabbabaccaaaabcacbcbbaccabcaababbcbcbacbcbcacccbcaaaacbbcbbbbabcbaacbbabcacaaccbaabcbbbaabcabcacccbaccabccbaabcacaacababaabccbbbaacccbaaaacabaacacaabbbcccccbbcccbacccbbccbabaaacccbaaabbaccabbaacaaacaccbbaabaaacabaabcbbaaaabccabcaaccacabababcbabbbccacabaabcabacbaaccbbccaababccccccabcbcbbbaccabbbbcacbabcabbcbbccbacccbcaaabacbbcbcbaaccabccbaccbabbbccabcbbbcaccbaccbcacacabacbcaabbccbacbabbbacaaabaaabcaacabbaaacabcbbabbabacccaaaacaacbbcbbbcaaabbcbbaccaabbabbabbcbbabbcbccbcaacabaabaaccbacbcbacaacbbbccbcbababcbacbaabaacbcccbbcaacccabaabcbbaacaccbabbcabbbaaaaaccaacbaccabccabccaccabacbccccbcbbbabaacbcaacaaabbccabaabbbaccbccbbccabaabcbbbacaacbabaabbabcaccbbaccabbcacabbccbacccbabacbbbccbabbcbcbabbbacacbabcccbbabcabaaaaccbcaccbacaccccaabaaccbbbabaaacaabbcaabcbbcaccbaccccabaccaabcabcccaacacbcaaabcbcbabaaccabbabcabcaaccacbbcbccacacacaabccacacccbcabbacacccaaccbcbaacaaaaaaabbbccabbcabcbbccacaccaccbcbcccbcabcacaccbbaccbccccccbacabaccccbbabaabcabcbabcbbbbaacaccbbccabbbbaaabaabccbbcbbbacbbbbbacccbbbbcbbcaccaaaababbababaccacbabbccbcaccccbcacacabcbaccaaacccaaaabaaaaccabccaacbababaacbbbcbcbaacbccbaaabbccaaabbcbbabaabbbbcbbccabcacbbcccababbacbcbbacaacbbbbacbabbcbbabaaccacccccbcccbababcbaaaaaaabaccbcaccabaaccbccacbbbabaaccabccbbaccbbbabaccccaaaaabacbccaabccacabbacabaabcbabccccccbcbbaabaabaabbcaacaabcacbbaaaccabcacacbaaabbcababacacababbaccbbacbaacbbcccccababbabaaaccabbaacccaccbbbabbaccacaacbacccaccbabbaabbccbcccaabbbbcaccabbcaccaacacaabbcababacccccacaaaabccabcbaacbbbcbcbccbcbcbbcacacbccabbccaabcacccacccabbbbbcbbabbcaaabaaacbbcacbcabcbaacaacbacabcacbacacbcbbccccbcccaaabaacacabbbbbbcacbccbbaaaacabbbbcbabcaaccbcbaccbabcbbacabbacbbbacaaababacbccbccbbaaccaabccccccabcaaaacbcacbaccacccabcabcaabccabbaabbbcbbaacbabababcbcbcaaacbacabbabbbacbabccaacbbcabccbcabbcbccbcbcaccbbabaaacabcacbacaaabcccacababaabccaccccaccbcacacbbbacaabcbacabcabaaacccbcaababccbbccbccabcaacabbcaabaaabcbaacbacacaaabcacababaabaabccacabccbaccbcccbcccbacaacbbcbbcaababbcbccccabccacaacccacbbcbbaacbbabbbcbccacccabbbbcacbacccacbbbabcabccbcacccacbbaccbabcacbabbbbbcaaaccbcabbbcbbaabacaaabcaacbacccabcababaaaabcbacbbbacababbccabcacabaaaccbbbcccbcaccacbbabbcacbababcbccbbabaacabbababcaaaaabaaabbacbcacabcaaaacbcaaabacbcbacaacbacbbbbcbcaccbbbbcaaaaabbcbcabbabaabbbacbabccccacccabcbacacbbbbbcbccbcababccbcbabccaaacabbccbabccabcbaaccbbaaaaccbacacbaccabccbcaaaababbcbabbcbaccacabacbcbbccbcaaccccacbcaaacaabbabbcabaabacbcbccccabbcbbbbabcbacbcabcabaacbcaccbaaaabaaabbcbabbbabccbcacbbccabbaaaccaaabbcbacabcbcbacbbcbbaabbabbacaabaababcbbbcbaabcbbcaccbaacacabacacbcccacccccccaaacccacccbbcabacbcaabaacabaabbacbbcababacbacaccacaabaabcbbbcaaaabccbabbabbabbaccbcbabababaabacbacbacacabbacbaabcaaabbbbacccaabcbbaccbcccccabbbcaaabbbbaabcaccccaccacbabbbcabbbaccccbaabababacbaabbcbcaabaababbbaccabaaacbabababccaaabcbccccacaccbcbbcbbabcbacccaaccabaabbcbaacaababbbbabaaaabccacbacaccccccabcaaaaacbbcbbcccbaacabbabacbbabcbbbbcabbbbcbbbacabbbbabbaabacccaabcbacbaccbbaaababaaabbbbcbcbccacbbccccaacccbcacbbabbcbbaaaacabcbacccbccabcbaccbaabacccacccacbaccaabbbabbacaaabcbabacacacaccbcbbacccacbaccbbaaabbbaacacabaabbcabcbabacbcbccacaccccabbaccacaacaccacbccbabcbcabcccbccacbcbcbbbbccccacabaaabccbacbcababbabbbcbaabcbacaababcabacbbbccabbbabaccbbacaaabcbcccaacaacbacaaacbbaacbacbaccccaacccbbacaccccabbaacbbbcbabaaccccacaabbccaabaccbaabbbaaabaaaabcabcaacccbbcbbbabbbcbbbacbccccabccccaaabcacabccbbabbcbbbccaccaaacccbaaaacccaccbccaacccbbbcbaabbcbabaaacababaaabbcabcbbcaaccaaaaabbbcaaccbbacacbbbbbcaccbbaaaaaccacacaabbcccababaacbccbcbbabaaabbbcbcbbbbcaabaaccaaabcabcacaaabbacaabbaababcbcacabbabcbaabacaabbbbabbaabccbbcaacbcabccaabacacacbbbbbbcacbbbaccbcccabbbabcbaaabbcccbcbacaabcabbbbabccbccbbbaccbbbcbbbabbaaaaccbbbbcaccababccbbacacbcaaabcacbbcbbaaaccbbccbccbcbbbcaacccaabacacbaccccccaabcbaabccabacbbbbabbcbacbabbcacbbcaacbaccccabaaabcabbbbcbbaaccbabacaabbaacacccccacacbccabcccbaacbacbcccccaccbcbabcbabbacabbbbcbaccaabacbaaabcbabccccbabaabcbcabbbabcbabaaabccbacbbccbcbacbbabaabbcbbbbbacbcabbabbccccababcccbacbacaaaacbccbbbcbcacbbaababbaacbcbbbccacccaccbcababcccaccbcacaaaccbbccababbbababababccbcacbcbbabbcbcbaabcababacabcbacacabcaabaaccaaccababcaaaacacbccccbacbabcccaabcbaabbcaaabaaacbbaaaacaabbccccabaccabcacbcccbbabbbbcabbbaaacaaabaccabbcabcbacbccccacbaaccbbccbacbbabcbaccbaccbabaacacbcabaacbcbbabbcbccacaccabbbbacbbbbcabacacacacabaccabaacbabbababbbcaaacacabccabcaacaabccbcabcbabcbabbabcbcbaccabcaaababcbbccabbaabcbaaacbabbcbababcacaabbcccccbcbabacabaccbcbacbccccbccbbacccacbaaaccabbcbcbaaaaaccaaccbabbcccbbacababbacbccbaaaaccccacaacbaabbcaccbcacbabbabccaccbcbcccbaabbbacbbaaaaccbabaabacabbaaacabbcaccbaaaaacacbcacacabbccacabbcbcccaacccabcaabcbbaacbcccabbabaccccacaaabbaaaaaccccbabbcabcbaccccbabcccaabaaccbabbbacccbcbacbbcabcccccabbcccabccaaccbccaaccbaacaaaccacacbabbbcbccaacbacbbacacbbbbaabcaaabacabbbcbacbbabbabcababbbbcabaaaacbcabbabcbcccbbcabbacbcbbbccccaaaabbccaacabbaacaabbccaacbcabcbacbaaabccccbbaabcbccaabbcbbbbccbabbaacaccaacbababcbccbaaccbacbccabbcabcabbabacbaacbaacacbbabacabcbacabcaccccbacccbbacbaaabbcabaabcbbcacccababccaabcccbaabcaccbaaacaacbacaacbbcbabcccaaaaaabbbbbacccabbbbbabaaaacacaaaabbbccbbbaaabcbbbbbcaaccccbcbbacbbaabbcccbbacacbcaabaaacabbaacbbcaacbaaccaabbacbcaabccccccbaabbcabcccbcabcaccccaaaabbacbcbacaaccacaaaaaacbbbbcbcacbacbacacaccaabacbacbccacaaaccbbbabbbabbacbabcaabaabcbbbbccacbccbcbbbbbacccabacaccbccbbcccbbccbcabacbcccbcccbababccacaaabcacacbcbbacaaaacababcbbcbabcabcbacbcabababcbccbccabcbaabbbbcaababbbbbacbabccbcababbcbcbcbcbbbcaaabacabcaaaabaacaccacacbccbaaaabbabababbabaabbacccacbabcaccabaaabcbcbcbcbcccbcbcabbacabbbccbabacaaabaaabbbbccabbaccccbaabcccbcacbababaabaaaaacbbbbbacbcbccbbbabcabccaaaaaacabccbabaaaacbabababbcccbccaababaaacbbbaabbaaaacaccccacabccaaccacababacbbbcacaacbaccaccccaabccbbcbacabbaaacbbcbcccabcccbaabcbbbbaccbbbbbcbaccbbcbbbbcbaccccccacacabbaabcaababcbaacabababbbcababbcacaccaaacacccbbbbcbaaaccabbcbccccbbbacbabacabcbaaaaccababbccaabbbcabbbaacaccaccbaabababaabacacbbacbbbaacacbaccaacabbbaaacccabcababaacabaabacccababcbbbcbccaaaabcacbbbabbbababbcccbcaaacabaababcbccacacbcacbacaccabcbabacbaababbbcbbbabbbcbcbcbcaaaacbaabcbbccbccaccaccccbcbcacabbccbacbccabcbabbbbbbbbcbbbacacbbbacabacbabbccaacacaaacbccbabcbcbacbbbacbaabcbbbbccabcbccccccbabcabaacbbbbcbbaaacbabcaccabababaabccababbcbbaaaccabacaabcbabbbbcbccbaaacbaccccbbccbcbababaacccbacbbbabcacacccccacaabcacacccaaaabcacbaaacbccabacababbcbcabaccbcbaccccacaacabcbabbccbcabaaaaabcccccacbbbabaccbaaaccaaccccbaabbcabccccbbabcacbabbabbaaabaacabaccaaacccbbbbaaaacccbbcacbcababcaaacaabccbcbccabcbcacbaabaabcabccacbccabbbcaaaaccccabbbaaabaabacccbcbbbbbccaaaabbaaccabcbcccbabcaabbbcbccabaababcbaaacacbaaacbcbaababacccbccccabbaaacbcbcccaababbaacbaccacccbbccbcacccaabcaabcbbccbcaaacccbaabbabbcbaccacbcabcbabcccacaaccbbaabcbcccabcabbaaacbaacbccaacbbabcbbabbbcccaacbbbcbcccccacbcbcbacccabcbbcacacbaccaabaacaaaccbccacabcabbcababcbbcabcbacbcbabccccabaabcbaccccbaaabaccccaacaacbbaaaacbbacbbacbaaccccacababbabbbbabbaccbccacbaabcccaacbaccaabcabbacacbcabcbaacababaabcaacbbcbbcabaccbbbbcbabbcaabcbbcacaaaababbaabaacaaabbaaacbacbabbacacaacccbaabbbcbacbcbaaccbbbccaababbccbacbcbbabaccbabaabbacabbccbcaacabbcaabcacacaabcbacabcccbaacbcacacbaabcbbabacaaabbabbaabaccbcbcacbcbabacbbcabacabccaaacbaacaaabbbbacccccaabababbaccaabaabcabcbbbcbabcbabccaaaaaacaccaabaabcbaabcbababccaabbcbbbcbacabcaabcaabaaccbabaacababbabcaabbcabcccaaccbcacaaaabacaabbccabaababcbcbcaaaccabaccbccbbbbacbcaabbccbaaacaaaccbbaabcbbaacabbbbbbcbaacbaacbbcbccaccccabcacaabacaacbacbbccbccbcbcacbbabbcbbcaabbbcbcbcaababbaccaaccbcabccbcbcbabcabbcabcabaabacabbbbbbccbabbabbabaabbbaabbbcababcabbcbbccbabccabaabbaccccaaccccacbbccabacbcbcaabacbccaaacbaaabbbccacbccabccbaabaacbcaaaacccabccacabbaccbaacbbcabbbccbaccbcbccbabbbaabbccaababcccacbbcccbcacbbbaaaccacbcbbbbaccaacbbbabaabcbacbbaccacccacacacbaacbaaccaccacbaacbcbbcbcabacabaabbacabbbaacabbabcaacccbcacbbbcccabbbbbcacacacbbaccbabbccbcbbababaabcabbbcbcbcccaccccaacabbcbacacaaaabbbcbcccaaabaacabbbacbbcccabccbbcaaaccabbcacbcaccabccbbaacabbbbbbbbcabbabaaaccabbcccbacbbbabacccbaacaababbabbbccbabaaaacaacbbabaacccccccbaccbcacbbaabbabacababcbacacacbbabbbaccbaacaccbbaabbbbcacaacacaacbbbbacbbabacababaacacbcccabbbabaacacaabbccacaabaacbcbcbcabccbaaaccbcbabcbabccbcaaccccccbabaaabaccaaabcbbccbcacccbcbabbbbaacabbbabcbbaccabacaabccccbaaaabacacbaaabbcccccbabaccbbaabbaaababcabbcabbccabbabbbbabbcbaabbbccacacacbcaaacababbcababcacaccccccbbcbbbcbbabcabcccacccccaaababaacabcacbccabbbbbbbbacabccbcabcaccbcaaabaabbaabbbaccbaaacaabaaccbababbbbcbcccbbaaaccacbacacccacabcaaaabbaabaacbbacbaacaaccbccccbbbcaababcbabcabaacbaaaaacacbccaaaacbbaacacbbcccbacbbacbabcabacaccccccaccbcbcabcbcccbbbbaccbcbcccbacbacccccbabccbaaaabacacbbbaaccaabbcaabaccaacccbaccccaabbaaabaaaabcaaacacabbbcbbcacabacaabbbabababbacaaccabccccaacbbabccaabcbcbcaabcbabccabaaabcabcacbbaacbbaccbcabcbaabcccbbccacbacacacaabbbbacacbccaccccccccbbaabbbacbbccbccacbccaacabacbabaabbbbaabacababaccaaabcabbbacacbbbbcaccbaabcbaaaccbabccccbabccbaaaabbcbcaabacbcbbaccaaabccbbaccbbbbccacacabcaacbbbbbcacbaabacccbbbabcbacccabbbaaabaacccaccabacbcacabcbbcbabbaccbcccbaaabbabaccbabccacacbcababaacaccacbababaaaaaaabbcbbcbbcbacaccaabcaacccacaccbcccabcaaaacbaccabbbaabbabbcaaccccbaccabcbbaaabbcbbccccacccbaccbbcbcacacbccbbaccaaccabaacbbcaacbbacbcbabaccbabcaabccaaabcacaaaaccccccabaaccaaabcabbbcabbbcaabbabbacbaabaababbbccbaccaacacbbccabacabbaabbbbcbcabcabcabaabbbccbaaaccacabcccabaaabbbbcbcabaaaabacbcccbbaacbcaaacaabbbcaaaabcbaabccaacaaabcbbbacabacaccbacbbaccbcbcbacacabbabbaccbcacaabccbabcacaacbbaccbbccbbbccaabccbbccbccbccbcacbbcacbaaaacbacabcbbcacbaaabccccbabaabbaaabbbcccbacabaaaccbbbbcbbbaaccacaccbccabcbaaaccbbaccaaacaacbbbbbcbcccbccbacbbacbbababaababaccaababbcccaaaccbbbcabbcaaacaccbabbcaaaaccbcbaaaabcccabbccbbaabbbaacaacbbcccaaaabcbccbbacbbccababcabcbaaacbbbabccbbaaaaaaccccabcccaabacaaababbccbcbabcbbcbaaabcbbcbcabbbcccaaaaacaabaaacaacabaaccccacbaacaabcabcbbcaccbabababcbaaabbbbbaaacaccabbccbbaabcbccccbabbaaabaaaccacbcaaacaabbbbaaabcbabccaabaccccbabcacaaccccabbbacacaaccccababaabbccbacbcacccaabbcbbababaabcaccccabbaacabccaabcbbabbbcaaabcbabbacabccbbbcaabbcaaaacccaabaacbaabbacabcabbaaccbaccbabacacacbacabbbcbccbccbbbccccaabbbcbcacabccbbcaacbccbacccabcaaababacbbccccbaabcaccabcbabaaccbbbcabaababaabcbccaacabbabbbacaccbbbcbacbcccccccabcbcaababbacccbabacaacabccccbcbacabccbcaaaaaccbbcbcbcccbbcaaabccbbcccbbcbcabaabcabbcbccbacaacbcaacaabcbbcbbaccbabcacaacbcbbcccbbbcbbbabcbcbaabbccaccbbacbbcacbaabbcbcbacacccaaaabaacbbabcbccccabbaacbabbcaacababaacacbbcbacbcaabaacabcaabbbabcbabbaccbbbcccabcababbaacccaaaccaabcabcbacabccababbaacbacccaabbbbcbaaaaabccacabaaabbaabaaabcaaccaccbabbccbaccabbccacbbbcaaabaabaacccaabcababcbcccbbbabcacccbacbaaaaccbacccbbcbbacbaccbbabcaacabaaaaaabaaacabccacbcccaabacaacaaacaacccbbcbcccabaabcaccbbbcbbacaaccbbcaccaccbcbbabcaaccbbccaababaabbabbaabcbbcbbbbaacbacaaabbcabccccaaaaccbbbbbbbbaabcabaabacbcbbbbccabacaabcbabbbcbaabbcbbcbabbbacabaaaaaabcabcccbbaacaaababcabbbaaacacaccbcbcbbababaaccccbcbccbbbaaacacccbacaacbbaaabcaabbaabccaaabacababcbcccababbccbbbbaacaabbbbaccaabcbbbbcbccbbcababcccaacaacbacabaccccabcccccbbccacaacbccccaacababbabbbbacbcbccccbbbcbcacbaabacaabababaaaccaaaabbbaccbaabbbcabaabbcaccaaabbacaaaccacbcabccbacaabaaabbaccacbaacbaacaaaababacbcbaacacccbbacaacbbacaccbaacacaaccbbcbbabcaabcccabccbcbbcbcaabcccacacbcababbcaccbcbccbbbcacccccbcbbccbccbcccacccabcaabcabbabaacabccbbbaacccbbccabbbbcabcabbbbaaaccccbacaabbabcbcbccaccbabbbbababacacbbcabbabaaccbbaabbbbcabbaaacacabccbcbbbabbcaaaabbabbbacbcaacababbacbbbcbcbaaabbcbabcbbbbccbcbccbcabaacacaaabbbcaababaacacbabbabababbacbbbbaabbcbaacaaacabbaaaabaaccabbaccbbbbbcbcacaccaaccbcacabaaabacabacccbccbbacaaababcbaabcbabbaccbccaaccacbbaccacabcabaacabcbcabcbbaccccaabacabaabcabccbaacaabaababaaabbbbbccbbbbabcbcbbacaccccbbbbbccbcacbbbbccccacccacccabcbbbbabccbaabbbcbbbbccacaabbccaababacbbbcbbccaaabccabcaabcbbbbcbbacbcaaabbbcaacabacabbcaacccbbbccacbcbcbbccabcbacbbaccccbcbbbaabbccaaabacbcccabcbbacbbbbccccccaabcbaaabccaabbbbabcaaabccaabaccaabcccbaccbaacbbbcbccababacbbcbccacababbcaaacbcaaabbbbccabacbcabcbbabbcabbcacbaabacbaabccbacacbcbccbcbaaabcccabbbacaaaababacbbcabbbccccccabbbbacabcbabbbcbbcbbcabaccbabcaacbacbcbacabbabacbbccbbbcbcbacacacaccccaacacbbccabbbabcaccbcacaccbaabbcabbbccbacbbcbbbcabcbcbaacbbcbacbbbbaaccacaabcbacbbbbabaacacababacbbcabbcbbbbbbcbaccbcccbbabcaacbabbaaacaaaaaabcacaaabbbccbcaacbacaccaacbabbbaaccbacbcacaabcacaccbcaabcbaaccabcbabaaaccbabccbbbccbcabbabcbabaaabcaaacbacbcbccccacababbaaacccbbacacaacaccccbaabaaacbcabaccbcabacbbbbbcacbbcacccbcbcabbbbabacbcacbbcbcbaacaaaabcbbaabaaaabcababbbbbababaaabbaabbcbaaccccabcaaccccccccabbbacbcbacacababbaacabbcabbbbcabcbabbacbcbabcbcbccbbbabaacabbbbcacacabcbcaaabaabcbaccccaacaaaacacbcabbaaccabaabcbcbcacabbacccababacbcbacbbaccacbbbaccbaaacaaaacaacbacabacabbabcccccaacabbccbacbabccbabbbabaaaaacacbaabacabaabbccbcbabaacccaabbbbacbbbbaacccaaabaaabcccbbbccccbcabbbaccabccabaccbbcacbcabcccacbabacbaccbcabccaacbaaaaacabaabbcaccbcbacbcbaabcacbccccabcbbaaacccbbcaacbcacbaabcabbbccbabcaaccabcbbbbababaaacbaaccabacbacabcbabaabbcbbbbbaaaaacabbbacacaabcaaabbaaacccaacabbaccbbcacaabacaccacccabaaaaabccbcabbabaabcaabcbabcbabacbcbbbbccabacbcccbaabbacbaccababbcacbcbcbcbccbbcccbcacacbbbbcaaccbaacbbabcaaaccbaccaabaacbcacbacacbbbcbbbbcccbcaaaabbbbbacababacbccaaaaabaaabcbcbcbccabaccbcabcabababcaabbbaaababbbacbaccbbbcbccaccacbabcbbacbbabcbacaccacacbcbcaabbaacccabbbcccabcbcabbbccbaacaaabaccbacabbcccbabbccabaacbbbaacabcaaccbbcbacbabaaacaacabccbbbcbbbaaccccabacabbbbbaccbbaabcaaaccabacbcaaaaaacabbbbacbacbacccbbcaaaabaacbbbbbccaacababcabbcbaabcccbbaacbbbabbabaccbbccaccacababacbababbcabccaacabbccbaccacccbbcaaaaaabacbacabacaccccbaabababaccacbacbcabacbaacbccbcaccabacabcacbcabacbcabaacccbbabcabababccabaabaaabaaabbcaabbcaccbcccbaaaccbbacababacaabbcbccbbcbaaabaacacbabacabbccbacbaaaaccbbabcbbacaabaaccbacbcbcbacabccccccbbaacbbabbbccaabbcbabccabcbbacabcaacbcbabbcbbacaaaaacccabcbcabbacbbcbaababcbccbabccccbabbcbbcabcbacbccbaaacabbaccabbabccbccaacacaababcccbccccbcbbbbcabacbcbacaccaacccbbacccacccbbaabbcbaaaaaaacaabccbbaabaccbcccacaabcbbbbcbcbabbbabccabcbbbcabcaccabbabbbbcbccccabacaaccacbcacbaaabaabaaacbcababbbcbcaacacabacaccbacabaabcccccbacbabcbabbaccacaacababbcaabaccabacbcbacbcacccaacaacabbcabaacacaabbbcbcabcaccaaacbabacbbbcacacbbccbabcbcabbcabcabcbbcabaacccacbccccbbcabcaabbbbccababacbbbccababbacbcaaaacbacababaacbcabcacccbaaaabaabcbcaacabacccacbbbbcbccacaabbbcccbaabcbacbbcabcbcababcacacccbbbacbabccbccbcbbbccbaaccabccbacbccbacbccbcabacbabcbaccccbcacabbccabccababcbcababcaacaaccaacacaccaabaaaaabcabcaaaaaaaabbbcbccaacbaabcbbbcabbabccccacccbbcbcababbccbcabccbaabcbabbcccaababccbbccaacbbcccaaababbcbcccccbcbbcaccaacbbcccabcbbabcbcbbbccbacccaabbabcacbbaccbcacbacaaccbbacaacccaaaaccabcaabbcccbccbcbbbaabcababbababbacabcbaacbaaaabbccacbbcbbccbbccaabaaaabbacbcccbaccabcbbaacbbcaabbcaabaaccbcaaccbaccbaacbbabcbaaaacaacbacaacbaaababbacaccaabcccbcbbaaacbbabbbcbccbcaabbbbcabbcacabbabacbbbaabcacabcbacbccbcccbbcbaabaacaacbbcabbccaacaccbccbcabcbcbabacaaaacbacbbbaabacbaaccaaabcbbaaaccbacbaacabbacabaabbbbaccbaccacbaaabbbcaaaabcccaacababcccbbbbcbccbbcbcabcabcbaacbacbbcbccaccbabbbaccaaccccbacababbbcaaaaccccbaccccabaabacaabaaabaaccbbbbcacbaababccbccaacabacccbccabcaacbbcacbbcbccababaabcbbccccccbccacaaccccbaccbcaaccbbcccacaccabaaccacccbaacccaababbcaacbbaacccbbaababbbcbbbbbabaccbcaccacccbbcbaaaccacbabcbbbccbcbabaabcaabaabbacbcbaaccccabbaaabaccbacbbaccbbacababcaaabbccabbaaccbcaacaacccbbcabbacabcabcacaabcbacbacbcabcaaaacaaccabbbacaaaaccbccccccbbccabbcbcacabbcbbacbabcaccbaccbbaaacacabbbbbccbbbcabcacbcbccccacacbbaacabcabcbacbacabbcbbbbcbaaabbbabcacbabaaccbbbabbaaabcbabcabccbaacacccaabcabccbbccaabaabaccaabbccacbcacaaacacbaabbbacacbaacabaabbcbacccbbbacccbabcbbcbabbcbabacbacacacaababaaabacbacabbbaccacbcacabcccbcacaaabbaaaccbcbbbbcabbacbabacbacacabccbbcbcaaccbcbccacacbaccbcbcccabccbbbabcabcbbaabaccccbcabbbcbbcaabbbcbabcaacbbbbabbcbcbbcbaccbababcbacccccaccbacbccbabcbcccbcbccbbcbabaabbccacaaacbccaabaccabbaabcbabcabaaabaabcaabaabacbbaabbccccccacabbbacbbbcabacbabbbbbaccabcaaabcabcbbabccccccaaacaabcbbbbaaacbcaabccccacbccbcaccbbccacacbacbbcbccaabcbcbacbcaccababaacacbaabcabaccbacbbaacbcaacccaacccaaabcbbccacbcacabaacccbcaabcccccaabaabbabbccaaacbbbcccaaabcaababaccacbbcaaaabcabacabbbabaaacacaaacbabbacaabccbacacbaabbbcaacacbcaaabaccbbbcbaaabaccbcababacaacbbcabccccacccccaccccbbcbabcabacbbccabcbbaabbbabcaabaabaccbababacabccbcbcbabacababbabcbbcbaabbaabccccbbbcbaabcbaaacbaabbccbaabbabbaabaccaabcbcaccacabbbccaaacbccbcccccacacbcccacabcacabccaaabacccabccccbcbccbacababaacabccccbabbbbaabaaccccabaabcbcbaaabcaaabbccbbcabacbccaccbcaaccbccbcaaaabbcabbaababcacababcacaabacabccaabacbccbbbacabbbcacaabaabbbabbbaccacacbbabbcabcabbbbcaabcbbabcccaacbbaccbaccbbbabccaacbacaacaacacbcabbbbbabaaacaacbcaabaabacbbcccbabbaaabccbcbacabbbabaababbaacaabccaacaabccbbcabcabcbccbbcaccbaacbccabcbcbbcbbbacbbabcbabababbbbabbbabaacaaaacacbccabccaccbaccbbbaabcabaaabacbbcbacabccbbaaaaabcaaaccbaaabcaacabbbbaacbbabbcbbacacbacbabbaabbbbccabcbccbcbcccaacbccbbacbbcccaaaaabcbaaacaccbcacaacbbcaaabacbaacbcccccaaacbacbccccaaabaaaacccbbbabbccaacccccbaccbcbcaaaacbccabbcacbbaaaabcbbcacccbabcbaacccbaacacacabbcacccbbbbbaabbccbbaaabbcacbbcacabbcccbbccacacabbbbaaaaabaaaccbbccabbcccccaaacaccbacaccabbaacbabccaaacaacbcbbcbcbccaccacbbcbabbbacbcbabcbbbbacbbccbcbacccbccababbabcaaaaaccbccccbbcabbcbbabaabcaaacbcccbcccccaaabcccabaccabbbbbbacbccaacbbbbbcbbbacbcbcbbaabcaaaccbcaacbaccacbbcccbcabbababbacabcbccacbcacbabbaccccacaacaccaacbabccbcacaacaacabbbcbbcbccbcbbababbacaababcbbcbaccabbcabbbabacacbbacaaacbbbaacaabcbacacbbcbabacbabcbcbcbcbccbccbacacaccaabcaabbcbaaabacbcbcbabcccccbcacbabccaccababcbababcabcbbcbcaccaacabcaabcacccaaaacabaccccbaabbabcabbbaacbcbccaabbccbcbbabccccbcacababbcaccbcbabccaabaaabcaabccbbbaccbcbaabacbccaccacbaaccccabaacccbabbbbacaacaaaccbaaacabbccbccbbabaaccbbacacbbccaccaccbbcbbbcbcbccababccbbccabbabbacbababcccbbabcaacccabaacbccbaccababcbcaccbbbabaabccccaacbcccbbabaababcbababcbbacabccbcaccccbbbababbcabbbbbcbacbbbcabacbabacbcbcbbbcbbccbaaccabacaaccbababcbbcacabbcbabaaacaaaccbabbcbaaaccacabcacbbcccacbcbcbaacacbababcabccbbcbbaabccbbabacaacacbbacaccabbacacacacbacbaabababcaabbccabacacbaaacccabbccababccaacccbbccacbbaabaccacabcbbbbcbabaacbcaabcabcacbaccababacbbaabbacaaccaabbbacaabaccacabbbbababacbabacccbbbacbbaccbbbccaccbabcbcbbcbabacacaabbccbcabbbbcaabbabaaabacacabbbaaaccaaccacbcaccccabbaacccacbabcaabbabbcacccbacbccbbacacacabcbbbcbbacbcaabbcaacbaabbcbbabcbacbccacbabbbcaccbaccbbcbbcccbbacbabbcaabbccbaaccbbcccbaacbbbabccaacbbaaabbabbcaccbacbcbcbcbaacbcbbacabcbacbcccbccaaabbcacbaaababababaccacabccbacaaaccbbcabbcaabbccbacbbbacbabbbbaaacbbaabbccccbaccaacaccbbccabaabcbabcbbbaaacbbcbcaacbcbcacabcaaccbaababcbaacbcacccbabbbcabacbabcaaccaabacbcbbabcccaacaccccbccbbaacbbacbcbabbacbbaaaaccbcbbbabbbbaccabbcaabcbbbbbabbbabccabaabbbcacbabacacabccbbabaccabbcbcbcacbccbbcabcbbabacbaaaaaccbbbcaccabababcabccaabbcccbcccacaaaaccccbaacaaacababccbababacaaaccbccccccabaccabbabcabaacacbabcaaabcbbbbaccaccbabbbbbbacccbbbaccabbbcbbbaabcbcaaacbaaccabacbbabcbbacaabaaaabcccbacaacabacababcbaaaacaaaaaabcabbacbcccbccccbbaacbacbbbccabbbabaabcbcbbbbabaabccacabcbcccbcabaaaaccbccacaacaaabbaabbbccaaabcaacbacbbbbbbbcaacbbcccbbaaacacbbbabcbcbbbabbaaaacababbcbaaccacaacccbabcaabccccbbcaaabcaaaabcabcaccbacbbaacbbbcbbabcaccbcabccbacabbaccbccbbaacabbbbaacacabaaaaabcaacbaccbbbabcaaaccbbcbaaabaacccacbabbbbaacbcbbcababbacabccbabcbbabbcaabbacaaabbbccbcaabbbccabcbcbabaabbbbbcbcbacaaacbbbcccabbbacabaaaabbaaccbbcbcbaaaababacbbbcbcaaacbbccbcbcacacccccbabcccbababbbbbbcaabaaabababccccbcbccaacbbacacabcccbacaaabaabbaaccccbbacbacbbacacbcabbcacaccacbabbcbbcbcabcbbaaccbcabbabbaacbaacaacbbccaabcbbabcbcaabcccbcbcacabcaccccbcacacbcbcbccbbbcaabbbbcbbabccccababaccbbccbbaacaababccabcacaabaaccbaaaabcbbaaacbaaaacbbaacbabbbcaaaccccbcaaaaaaccbcabbccaaacbaacbbccbabcbbccacbabacbccccacaacbaaaaacaabcbacbbbcbbacbbabccaccaabaccacbaaabccabbbcabbcabbbbbaacaacbcbbabcababbcaacbacbabbacbaacbabbbcccbacabcbcbbaabbbbabcabbcabaabcaaacabccbaccaacccbcccaabaacbcbacbbbbbbacbbbcbaccccabbcaacbacccbabbabaacbacbbbaccacaacbbcbcaacbabbbcabcabbbbbacabbbaccbbcaaaabbacaaccccbabbabcabacacbbcbccacccbcaccabbccacaaacccaabccccbbaaccacaacbabcbabbabbabcabbccbcacbabcaccacabcacaacacbabaabcccbbcccbcaccaabacaabcbbaaabcaacbbabcbbaaacbacbacacaaabcabbbaaabcacabcabcabaccaccbbccaacccababbcccaacbcbccbbaabbcccacaaccbabaabaccccbaccbbaabcbacbbacbaccaabaacabacacbabbcbaaccaabbbacaabacacabccaaabcbcccbbacaaacbcabaccbcaaaaaababcabaabcccacccbacaccaaababcbbbbacbabbacaaabcbcaaabbacbcaabccbbcaaabccacabbaaabcbacbbbabbcabbbbbbbcbaccccbccabccacaabbbbaacabbbcbaaacbaaaabbbcaababacabcbabbcccacababccbbcbbccabccabbbaabccbbcccbbcacbcacabcacbaaccaacbccbacbcbbbacaacabcbcaaaabcababbccabbaabacaabcacbbbbbbacacbababbacccabbbcbcacabccbbbcbcabccccbaaacbcbcccbcacbcacccbcaabbcabccccbcaabbccbabcbbcbcaacbaabbabccbbaaabacacabbabacaacabbcaaacacabbbcbbbbabbaabaabbaaacbbbbaaaaacbbaacccbabaccbaaababcaaacccccaccccaabcacabaacbacbcacbcbccccbaaabaacacaaabcaacaacacaabaaacbccbbbcbccacbababaacacbabbaabaacaccaaabccaabcccbbacaacbccacbbabcbbcccbbbbcbccabbabcbbbbabaaabaaabcccacabbbbccabbcabbcbcaaccaaccccbbcbcccacacaaaaaccacabcbbcacbacbaaacbcabaccccbbbcbacabcacacccbbcabcabcbbbbabcabcaaaaccacabaabbccbbccccccbcccbbcccccbbaabccccbaacacbbaacbacacbabbbaccbbcaacaacbcbbcccabbbacbccaabacccbbbabababaaccbcbbbcaabbaabcaaabbcaacbabacbacccaabacacbacbbabbaaacbbbacbacabbaacaacacabcccaccbaaccccbaccbaaaacbacbbcbcaccbbbccabbbaabcbcabbaacacbbcacbbbaabbaabccccabbacabbccbaaaacbacabcbabcbcbacbcbbaacbcabbaaacbcbbcbacacbccaabaaacbbccacbbacaccabbaaccccbbaacbcacaabbcbabbcbaacbcbacbabaaaacccbbccabbabcccccaaaaacccccccabaabcacccbcccabaccbbbacbcbcaacccaccbaaaabbaacbaccaababaaabccaacaacbaaccaaaababcaccbcbcbbccaacabcabcccbacaabcbbbaccccbaabcbcaacababcbbaacaaabcccbbbccbbcbacabbaaaaaaabbbbabbbabbcaaacbaabbccbbacaaccbcabbabcaaaccbacbaaacaacbbabcabbacccbcbbcbcbbcaacacabbbabbcbababacbbacbbabbcccccbaacaacbccbaacabbbacbbcaaabcbcbbcabcbcbcacbabacbcaacbbcacacababbababcacacacbacbabbbacccabbccbbcbababacaacaaacaabaabbacababbaccccbcbbacccbcbaacaabcaababbabacacacbabcacbcaaaccbbbaabacaacaaababaacbcabbacbacbacaababacccabcaacbacbacabbbcbbcaacaccabbbbbbbacaacbcaaaccacaaaabcabaacabbcbcabcabcbaacbbbccbcbcbcbaccabbabccbbbcabacaabbabbbbcbaaabbabbcccaccbbbbbcbbcccacacacaccbccacbabaccabcabcccabbaaccaaaaababcbabaccaabbaabbcbabaacccaabbacbbabbcccbbcabbabbacbcacbacccaacbcacccbaaabcaaaccbcbaacacccccccbbbacccacacaaabcabbabaaabaabccbbbccccbabacccbaacacababbcccacbbbccabaabcabacbaabcaabbbbbcaacbaaaabcaaccaabacbaaabbaaaaabbaacbbacbcabbacbbcbaccccaccabcccbbcaababbaaaccaaccccbabaaacaacbcacccabbaaccbaabbbbccbcbccaabcbacbaaaaabbaccacbbababacabcaabbbbcabcbacbcabaccabbccccaacaacbcbacbbcccaaacbbccbcaccaccaabacccbbcacacabcbccaaaabcbbbbcbccaababcbbaccbbaababcaacbaccbacaccbaaabaccabacabbabbacbbaccacbcbabbacacacbbaabbbabbabcbcaccaaabcaccabaaccbaabaaccaaacbbbccbacacaabcabbacbcabcbaabccacbbbaaaaacaaaacbacaabbaaaabaccacbaabcacbcccaaaaabaaaaaabccacbbcccbcccbaababcacbbbbbabacaaaabcaccbaababaaabaccbacacbccccabcaabcaaabbacccacabbabaccccbccaccaccccbcbbccbcbbbcaccbccbcbbbcccbbabababbbbcbbaaacabcbcaaaacaabacaacccbcacaacabacbabcacacbbcccaaacabcbacacccccbaaaabcacbcbccaabcbbcccacaacabbccbababbbbabbaabababcbaaacbbabcabacbbccbbbcacbbbccbbcbbcbbccbaabcaaaaaaabcbbaaaaabcaaababcbbaabbccabccbbcabcabccbbaacaabcbbbcbbcbabbbccbbbcbbacaccaccabbbcbccbcccccbbbababaacaaabcaacbbcccccaaccaabaaacabbbbaccccbaaccabcbabaabbbaacccaccaabbbaababbabccaabaaacbcbaaabcbbabaaaaabcbccbaaacbccbccbacbbbbaaabacabbababbabaccbacbcccbcabacbcacacacbcaacabcbacbabbbcacbcacabcbcbbccacabaccaaabbcabaaccbccacbbcbcbaaabbbacabbacaabababaabbabcacbbcaaaaaccacbbcbcbbacbacbacbbbaabbbbabaccbbccccaccbbbacbababaabcbcabacbcbccccccababaaaaccacccaccaaacccccccbcacabababcaabcbbcbcababbccbbcbbabccaaaaaccbcbabbccbccbacaaccacccacabcaaaacacaabcbaabcbabaabacabccbcbbabbccbccccbcbbacbbaabccaacacbacaaaaacbbcaccbcabcbabcbbabcccbbbccbcbbbccccbbacbabcbbbabccabaaccbcbcaaabbcabcacbaccbacbbccacbbaccbabaacacabccabacbccabbabaccacacbacacccacbbaabacaacbbaccaacbabcccbbccbbacbaaaccacbbbccbcacaabacaabbaaabccbbbacababaaaabcacbbabbcccbbbccbccabccababbcabaccabbcaacbabacbcaaabacbaacabbcbcabbaabccccbcccabacccbcabbacaccbcccaccbabaccbcbaacaacbaacbcaccccabbbacabbacabababbaaabacbbccacbabbabbacccbaaabbccaaacccacacbcccacaaaabbbcabbbbaabbaacaccccbbcbcbabacabacaacbacbabbccaabbcbacccccbbacbacbbacaacabbcacacabccabcccbbabbcaacabaccabbabaaabbccbbccababcbbbccccccaaababbccaabaacbabcacccaabcbbbccaacabccaabbccccccabcbcbacbaabcbaaccbbacccababccaaccabcbbabababaabccaacaaaccbbabaabbcbbbbabaaaacbabbaccbbabbabbcbccbbaabcaaccccbabababcbcbbbacbccaaccaccabbbaabcccababbcaabcbbcababbcabaacbabbbbabacbbaacbcbaccccaccaacabbaaababbcbabaacaacabaccaacbbacaaabbcacaaabccbaccbccacbabaaacababaccbcbcacbabcbaabaaaacabbababbbbacaaaaacbaaccbcaacbbbbcccbccccaaaacbccaabbacabacabccbacbababccccabbacabccacbacaacbacbbbabaaabaccbabbccacababcbcaaabacabccbccccababaaababaaacbaccbcbcabbbabababbacaacbacbabacabacacaabcccaaccbccacbaacbabccbaabccaaababcbccccaabcccbacbbabbaccbccbccccacbbccaabaccabbcccbbbbbcabbcaccaaccbbabbacbabccbaabbbacbccccaabaaabaacaabbcabaabacbcbaaaccaccbaaaabcacacbcacbcbaabacbbbbcbaabccbbcbcabbacbcbabcbabbbabaacbcbbcaabacabcbcaababaabbbcabccaaaabbccbcabacaabacbcbbbabccacbaacbcccbacacbbbaacbabababbbaacbcbcccaacaccbaacbaacbbccacaccabcbcaacabbcbbbccaaaabacbcbcbbcbcbbccbcaabbbabaacbbbbababcaacaccacaaabbcbacbccbbbacababccbacaccacacabcccbaacbabbacacacaabcabaabcaaacabacbbabaaaaacabcbbcacccccbcaabcccacacbbaacacaccbccccbbabbbaacabcbcabbccacabaaabbcaccbaccbccbccbbaacbaacacbbbcbbcacccbcabacaabacaaaabacbbaacccabbaababcaaacccabaaaacbbcbbabbcaaccacbbcbbcaabaaaaaabcabbcaabbcccaacbbcacaccccacaabaaaabbbabbbbccbbacaacbccaabbcccabbacbbcabcbcaacacbabaaaacaaaabacababcccbccbccbacaaccabcaaacacababaabbbaabbbabcaababaabbbbcabccacccaaabacaaabccacbcbabacbcbacbcacabaaaaaaaacaaaabbbbaabaaacabbabaabaaacabcbaccbaacabacccaabaccbaccbbbaabacabccbbcaaaaaaccabbbaaabacabcbbccacbccbbbccaaaaaaacaababccbbbbbcbbabccaaacabaabcbaaaaabccaccaccbacabacacacccacbcaaababcbcacaaabacccaabbaabbabbbacbcabcaccacccabaacacabaababacccbcaaacccbbbabbbcbcbbcbacabaaaaccbbabcbbccbbbbbbaaabbabbbbabaaaababbcbbcabcaabacaaccccbcacbaabbcaaaccaaabbaabbaaacabbcbaccaccaaabbbccbaaacbcbaccccbcaababbbcbcbccacabbcbccaaabaabcbcacccbbccacccbbacbbcbacacbaabcccaaacccacacaacaabbbacbaccbbaaaabcabcbbaacababbbbaabcccabbbabbacbcabcaacbaabaccaabcbcbacbbcbaccaacccabccaabbacbcabbcaabaaaacbbcbcbaababcaccaccabbccbbcbbbaacabbabcbbbbbaccacaabbbaaaabbabbaccbaaabcaabbbcbccbbcbcabccbcccccccaababaccbccaabaaabccbaccccaccbcabbbaccacccbaaacbcccabbcbacabaabccbbabacbacbacacaabcbacacccaababcaacaabcabbaacababbbccccaaccbacacbabaabcbabbcbabbccaacabcbcbccbcbaacabcacbcabccabcbcbaaaabaaaacbcacaacccabcacbbcaabccaccccaaaabccbccbaaacccbcaabacbabcaabaabcaababcbabbbbaabaaabcabbcaaaacbbacacccaccaabcccbbabcaabbccbbbbaccabbbcbbbbaacccabcacbcabababcaabbacbcaabcacaaabcccbcaacbaabacacabbabbabcccbacbaaaccacbcaaccabcacaaababacabbabbabbaabcccbaabccabbbccabbaacabaaaacccaaaaaaccababacbbcbaacacccccbaccabbccaccaccbabcbabaaccbabcbbbacaaabbabbcabcbaabbbbcaaccccbbbbacbbcaabccacaccbcccabbacacacbbbcbbbcbccbcacaaaccaccbaaacbbacccbaaaacbbccaabbaacbbaaccbabbabbccccbaababcabcbccacbcacbabcccbcaabcbabbbabacacbcabccbaccabbbcbcaaaaaaabbccaacacacabacbacabcbbbcacabbabccccacabcabbbacbbbbbbabbcbabcabccabcaacccacbaabcbcabbcbaccbbbbbbabcaabcbcabbcabbbbcbcababaccaabbbbcccbabcbbacbcaaccbacbcbacccaacccbbbbabbcaaaaabcbbcccacbbbcbbacacbcbbabbbcbbccaaaacacacbabcbcaacaacabaaabcbbaabcbccabccbcacaccaccaaabaabbccaccbabcaacacaacababbcacbabcabbaaccccabacbacccabaccababcabbaabccbaacccbbcbbcbbccbbcababaccccaacbccacbaaababaabccacbabbcbabaaacbbcaababaaabccccccaababcaabcabbbbbaacccacaacacbbbaabbccaccaabccaaaccbccccbabcbcbbbabcacccacaabcaaaaabaaacccbbabcbacbbbcbcbbcabcabbcbcbcbbaccbcaacbcaaacbaabbbbcabaacacabaabcabaaccaaabaaacacbccacccabaacabccccbabcccacbbabacbbabcaccaaccabaabacbcbbaacbacaaabccbaabbababcacaccbaaaccabccabbcbaacccbbaaaabcaabcaccccbbacaaabbcbacacabccaacbacbabbbbbabbcbabaaabbbbaababcabcbbbacbbcabbcbbabacbcbbbccccbababbbaaaababbcbcbbabcaccacbcbbcabbabbcacbcccbabcaccabbccaacaabaacabacbbaccacccbbbbcbbbcbacacbbccbbabbcbcabacaccacacbaaaccbbbcabbacbbcbabccaaccabccabccaababbabbcababcabcbcbcbcacbabbcccaabcbabacbacaaacaccacacbbcaaccbbacaaaaaccababbabcbaacaaabbcccbbaacacccaccabcbacaacabaacbbbcbaccacacacbacbcaaccbacbccaaaaacccacababbaaaaabcaaaabbacbbbaccbbccabcbabccbabbabbbbccbacbacaacbbabbaacbabbbacbbbbaaaccbcaabbbabbacbcabbababbabbbaccabcbbcabacccbcabccaaccaacacbcabacacbccbacbacabcaabccccaccbbccaccccacacbbccbbbabbaacbcbbbaacbbbaacacaacbabacbccbbaacaaabbaaababccababbcbbbabbccccbaaabbaacaabbcabaabbaaaaccabacbaaccaaaccababbaaabaacbbbbbcbbabbacacacbaaccaabacbcababacacccbaacacbabaaabccbcaaaabcbccbbaacbccbbbaaccabccbcaabbbabaaccbcccaabcabcbacabbacbaaabcbaccacaccbccbccacaaabbbacaaacaccbacbbcbcabbbbcbabaaaacccbbccbbabaabcccbabbccccacbcbcaabbbbbaabccbbabacbcbcabbaaabcaabbabbaccbbbbacbbbcaaccbaccabbcabbacaaaacbccbcbbcbbbcaabbacbccaaaaabccbaacaaccbcbcacabbccbbcbccbcbacbcacbcbcbaaaccbabbcccccccbabcccbcaaabacababcbabacbcabaaaabcbccaaacbcacbaacbbcbaaccaccbacbbbacaccccccccbcaccbaccbbbacccbbccbbccaccaabcabcacaabccbbaccaccbcbaacbabbcbacbbabcbbcabaccbaabababcaaaccaaccbccaaabcacbaaabbabccaccbcaacaaaacacbbbabccaacacbbbbacbbaacbcbbacccbccbbbcbaacaaaabbabbcaaacbccabbcababbacbcccbcbacbaccabccbabaccbaccacbcaacccbbcaccbcbbccbaabcabbccbbccabccccbbaccbcccbaabbaacbbcbccbaaaaccabbbbabbbbacbabbccccaccccaccbccbbacaaacbccbabaaaabccccaccbbbbccbcbbccabbcccaabcaaacccccaaccbbcbbcacbacaabaccccbacbbbcbacccaabbcabbcbcabbcaccbcbacccbabbacbbcbabbabacbcbcacbabbaacabccccacbbaaacbabccbcbbbcaaaccacaacacbbccccbbcbabbbbacababcbbbabccabbaccacaccabbaaaabaaccacabcbbbbbbbcbbcbaacacacacacbaacbababaaabaaacbcbcbccababbccccbabbacabccaaacbccbccabbabccacaacaacabaabaaaaabccccbaaabbbcbbbacacbbcacbbcabcbccccccacccbcabbaaccbcabcbccabcaabbbccababbbcaccacabbabcacacbabbbbaaabccccbbabccccbbcaacbabcccccbbcabcbbaacbccbbbbababaacacbbbacabaaabbabcabcccbacbcaacccabacbcaabbccccccacccabacabcbcbaacbbbabcccaabcbaacacccaccaabaccaababbcbaacbbbcabcaacbcbbbacabcbaaabbaabacbcbbccbabccbababcbcbcabaaabbbacbcbaacbcbbacabbaccacbbbbacbaabaccaacccccaacbcaacabcbbbccccaabcbaaaabaccbbabccaacacbcbcaacbbbccacbabbcbabccbbaccacaacaabbaaacabababaaaccbbbccabcaccccabbbcccbcbbcbcabacccccccbbcacaccbbabbbaababbbccbbcbacbbbaabaaaaabbababbacaaacacbcccaabbabccbbccbccbabbcbccaccabbbabaaabaacabbabbbabababcbbbcbaabbaccaabcccabaaaacabccbccbaabcccaaaaacccbaaccabaccacacaaaabbbbcbbabcababbbbbcbbaacbaacaccccaabaccbbbaccbbabbaacababaccbacacaacaaccbaacbcbbccbacabbaaaacbbcacbcabacaccabcaabacbccaaabbbabaababaababcaccbaccaaaaabccacaccaabbccbabaaaccbbbaabaacbbcccbcaaccbaccbbcaccccccbbbccabaaccccabacbaaabbcbcbccbcabccabacccaabcbcaccbbababcaccbacccbbccabcccbaaabacabcbabcbbbcabcbacaabccbcaabcbabbaaababccabbcacaabbaccbaacbabbbaacbccabaaaaaaaabacbacacbbbccccbaabcaccabbaaccacbbcabacbbaabcabbacaccaacaaababbcbcbcbccbbabaaabacababbabbacacacacaaccacabaabbcccacbccccccbbabbbaaaacacabcaaabacbacbaaabbacccaaacaccabacaaabcacbaabbcaaabaccccbcccabcbaaacbaaabaccbcbaacaaaaacbcacbabcaaaabacbccbcbcacababccbbabcccbaabbbcacacbabaaccacccabcbbaaabbaaaccaaaabbaaabbccbaaacbcaaacbcabbacaabbcacaaccaaaacababbaccacaacacaabcbcaacaabbccbcbbcaaabbbbaccbbbbacabbcbccbaacccbcbcbababacbcaabcaabcbbcbbcabcbaaaaacabccccbbabacbabaccacabcacacabcabcabcaabbbabbbabacbcacbcbaabaccabacacbbccccbbccacbaacaabbcccbcaabcbbbacaacbbacaaabcbabaabaaabcbacabcbbaccaababcacbcacbccbbcbcaccbacbcbacbcabcbbbaacabbbacaaaaaaacbbaabbcacbbbabaabcbaaaccaccbaabbaabcabcacaccaccbbaaccaccbaccbccccbcabbaccbcbbabccbccbabaabcabcabaabccbcaaacaccbaaabbcbcbacaaaaaacbacbacbbcbbacaaabcabcabcbbbaabbcaccabccacbcbccbbaacbabcbabcbacaacaabaacacabcbccbcababbcbcccbcbbccbacccccbcbcababbaccaacbacbabbbabbbabaabaccacccbbbbccbacaaaababccaccabcbccbcabbacbcccabbbbcbcbbbcaacacacaabcccbcabcabcabccaaabacbacaabccbbcbaaabbcabacacccabaaaacaaacabcaaabcacbcbbabaaaaaabcbbabbabcbcccbcabccaaacbbcacaaccbbbabaaacaabbcaccccbcabacbaabbababcaccababbcaaccacbaababcaabbabaaabcaacabbcabcbcacaabbaccbccbcacbccbabbabcaaaaccbaaaababbcbacbcacaabcbbccbabcbababacaaccaccccbcbbcacaaabbcbbbbacccbccacacbcbcabbcbaabbaaacabaaaabcbcccbbabccbbcccabbaacbccccaaccccccaababbbaabcbccbbcbcbabcababacaaabbbbaccbcccbcbbcbaccccabbbacbaabbbcbccababaabbaabcacbcabbababababcacacacaaaaaaacaacbbcacabcbbbcbbccaaaacbcaabbbaaacbcbcaaaaacabaabcbcbccacabbbccbbbbbcabcbbaacbbbabccaabbbbbbbabbcbabcaccaabaacaacbacbccabbabcaaabcabbbccabccacaaaabccbcbabaabbcabbacaaaaaacaacbabacabcbabcbaabbccaccbcabbacbbabaaabbccababbcbcbcbbcccbabbcccaccacbcaaacaaabbabbabcbbaacbcbbccaaccbabcabccacacaaababbbcccbcaaccbaccbabcbcbacabcbaccbcbabaccbcacbbcacbccaabcbcbabcabbcbccacbaabbcbacccabcacbababbcccacbaccbaaacabcbcbaccaccaaacaccbaaaccacbbccbccaacbccccaaaaacaacccbaaaccccaaaaccbccbcbabbabbcbaaababcaccaaacacaccabaabbcaabbaabccabbbccbcbabcacabbbcccacbcabaababbababbacccaccabccababccbabbababbcbcacababbbbcbaacccaacaaacbacaabbbbbbbaabbccacaabaaabbbabaababccaacbbaacabcaacbaaaacbaaccabaacccaaaaacacbccccaabababbacaaabccaaccaaabbccaacbabbcbcbccccaaccaaabaccaaaaabccbaccabccabcaaaabacaccccccbbbcbbabcbaaabcbcbaccacbbbbcccacaacabcbaccbccbbcabbacbcabcbaacbbbaaacaabcabcabbbbcbcbaabaccabacacbacbacbbabcacbcabacaaaabcbcabbcbbccbcbcbbccbcacaaacbbbcacccacccacacccacacacabacccacccbaaccaccbaaaabaccbccbaccaacaacaaabacbbaaabbccacbacbbaccaaccccbbccabaaabbcccaccaabaacaabcccaabaacabbaaccbbccccaacbbbccabbccabaaacabcccacaaabbcccabcbbbacbbccaabbcabbccaaacacaabaabcbababaabbacbabbabacbcbcbcbbbbabbbacaabbbaaaabbbababaabacbbabbaccbaacbaaabcbbbabbabbcbbcbaaccbbacbccccaabbbcbcaabaaccaabcbcaacccbabacbaccbbbbacbbacbcabcabacbcaacabcaabccbcacbccbbcacbccaccacbcbcbacbcaaccbbacbacccccbccbcabbcbbbbcabaacaabccccbbaabababaacababacccabcaacaaabcabbaabaacacbacbccbacacaaccaabbbabccbcbcbbcabaaacbbabccbcbbaacbbcaccbccababbbbcacaaaacaabcaaacccacbbbabacaccccbaaacbcacbabaabaacababaacbbccacbcbbbbcbaaaaaacccaaccccaacbbcbcccbcaccbcbabbcbabccbabacbacbabccbaaabbabbabbabbbccbbbcbaabbcaccacbbccabacbababaaabcacbabaabaaabbcabbbbabbcabaccbbacaaccabbabacbcacbccbaabccababbaabcccaacbcaaccabbcacbcabacababcacbbbbbbcccacacbbbbbcbbbcacaacabbbbaabacaacbcbbacbbbccbababacccbbabbcccbaaabbaaccabbbaacaaaaaaccaaaaaccaabcaccccacbcbbbbbcbccbbaaabacbbcacacccaacaaaabbabaacbcabbccaabaaacbcbbcbaacccaaaaabaccaabccaccacbbcaaacbbaacabaacbacbbacbcbbaccccbaaacabcbaacaabbbbbaababbbbbaabbabaaaabcbccccbcbcbccaccabbcaacacbabbcabcacabaabbbbcacabccbabaccbacaabcccbaaaacabcbcbcabcbabbcabbbbcbcbaacacbcbacaaacccbcacbccabaaaaaabcccacabcbcbccbcbaccaacccbacaacaaaaccabaaccabbbcccacbbabcaccbcccccacccacaabcbaabbcabbaabacaaccbbbcbbcacbacaaaaaacacacaaabbacbaabcbccbabcacbcabcabbababcbaccbbccacbaabaccccbcccabcbbacabbbaccbaaaccacaaacbbaccaabccacaaacbcaacacbabcbbbcababbabbcccababaccbcbabcbacabbbcbababcabacaabcbbbbcbccaaaccbccbbbacbbacbabbccabcbabcabcccacccaabaaacababbabaabcbaabacbcbcaaccccacbcaccbabaacacbbbacccbabbacbbccabababbccaaabacbcacaabccacbbbbcbacbaccaaccbbacbcbaaccbacbaccaabccacccabccbbacbbcaabcccbbcabbacbcaaacbccbaaaccbcababacbbccbaccabbcaaaabbacacaacccabcaabbbacaabaaaabacccaccbaaccabbccbbccababbabaaaabcbacabaccbcbcbbcaabaaccaabcaccabbbbaabaaacabcbccacbacbccccbcabccbaaabbcbbcbacaacaaccbaaaacbbcbbacbabbbbcabacccaabbbbaaccaacbaaacacccbbcbabababcaaaaccbbccbaccbcbabccabbcbbbbaaccacabcacbccbccccccbbbccacccabbabbcaacacbabababbabbaaacbbccccaaabcbcaaababcccccabbacccbcacbababcbcaaaaaabccabaababccaaabbcabbabbbaaacacbbcbbabacacacaabccccbabcaacbaacacbacaaaacbaaaabcbabbaacabbbaaabcccbabbabaccabcaaccbabbccbabcaacaacbcacabbcabbabcbabaccaabababcacbaabbcaacaaccbbaabaabbcacacabcacccaaccaacbbcbabaaabccbaccbbbbbaacbbbabacaacacaacbbcaccccbaccccbaacbabcccbbbccbaaacabbaacbabbcbcacaaaaaccabacacabaabaaaaabcbacabcbacccbbbaccbcbbaaabaabbcbcacccbbbbababcbcaabcababbccaacabcbcaaabbcbccbaccbaccbcbaaaccbaabaccbcaccbbcccbbcacbccbcaccbaaaabccbbaccbcbcccbcacbcacbccbbaaaababbbcbbaabbacacabcbcaaccccbbabbbcabbabacbbbaccaaccbbbaaaacbbcabbbbababbccbccabaaaacbcbacbbbabacacbaacaaabbccbaccaacaabaccabcbacbcbccabbbacbaaaaccccabbcbbcbaacbabbacbcbcaacacbcaacbbcbbbcbabaacacbccbbababbcbcacbacabaaaacaacacbabcccbbaaaccaaccbaccbbcccacbcbcbbcbcbabbabacbaabcabbaccbcbaacbbccacbaacbcabccacbacccaacbcabcbbacabaabbacbccbbabcaccccbbbabbbbccacabbaabaabcaabaacbabaaccbbccacbcaabbccbabcaacaccbcacbcbcccbbbbaccbabbabaaabaccbbcabaababacbcacaaaaaaccbcabcbbbccaaccaaaacbccabcaacaaaaaaccacccaabccbbccbccaacbcbbcbaccacccbaaabbccbbbbabbaacabcacbbbbcbbccbaacbcbbbcccbaacacabbbcbbabbacaababacccacabbbcabbcabcbbbcacccccbbabbcaaaabbacbcacaacbabbacabccbabbbbccababacbaccabbbcaccaacbbcbacbccaaacabbabbbccbcccbaaabbccbcbabbababbabaabbbbabcbcbccabbaaccccbcbaabcccccccabcbbbcaabccbbbbaccabacbcabacbcbabcabbcacbabcbccbababcbcccaacbcbcbcabbaccaaabaccccaabbcacccacccbcccbabcbccaaabbccaaaacababcabbccccbcabcaaabccaabaaccbcbcaaabacaacbcbaabcabcacbcccbabccccaacbaaaacaacaaccabaacbaabcaabccbaaaacbbccbcbabbcbcbccccbbaaaaabaaabbbbcbabaacbacccaccccacabbacaaacccabbcabccacacbacaccbbbacbcabacbbcbacacbccacaccaacaaaababccaaaccabaaababbacabbbcccacbbbbcbbaccaabcbaaccbcbcabccacccbabbbaaaaaaaaaabbbabccccaccbbccbaaccaccaabbbabbbbaaccacccbcacbaaaaabaaabccbccbbcbccabccaabcbbaaacacbbcccaacabbbaabbccbccbaabbcbacccaccbabacabbababcbcaacbcbbacbbcccabcccccbcbacacccccaccbaabbcacbbcccbbccbbaccacbabccccbccabbabcaccaaaaccbcccaacaaaccabbbbbbaaabaabaccbbbaccbcccbbabcccaabaaccabacbaabccaaaacababbccacbcbabcaaccbbacbacabcababbbabbcbbcbaccbaaccbcbbbcccccbbbbcccacbcaaabcbabbbccbabaccaaaabacccccacbccbcbacacbcacaabcccaabcbaaccaabbcbacbacacbaacbbababcbcaccaccbaabcacacaabaccabbccaaaaacabbabacbacccacbbaaabbababacaaaacababbabbcccaaccabccbabaccacccabcbbbaccbcaccacaabcbbbccacaacabbbabacbabccabbbabaabcbbbabcccbbaabcbcbcbbcbbcaaaabacbcaaccccccccabbaabcccbaaacbbbcabcaabacbabacacabbbabcbcabacbbbccaabccabcbcaabcbcbaaaccbcabaaabcbbaaccbcbacbbabccabbbbacbccababbcbccbccbcbcccaaababcaaaaacbcaccaacaccaaaaccaccacacbbbbcaabcabccbacaabacacaccbabcbcabcbaabcbcccaacccababbbbbbbccbcabbbbbbaabababaaccabacbcbcbaabbccacaabbcbbaabbcbcccccabbcaccaaccbccccbcbaaababcbcccbbbaacaabaacaaaacbccabacbbcacaccacbbbbbbcaacbcbaacaccccbccaabcbcabaacabcbccbbabbccabbbaabaacbaccacbbacbbcabcbcbabcabaacccbbabacbbbccbabaccacababbbaccbccacbabbbbccbcabacbcbcbacaaaccbcaaccaaaaccbacbacbbaabbaabbcbacccabbaabcbcbcccbbcababccabcbaaabbcbccbbcaaacbccbababccababcabbbabbaacbccacbabbccbabcaccbcaacaacaaaabcbaccacaaabcabababccbcabacbccbaacacbbaababacaaabbccbabaacbbbbacbaaabcacabbcbbcccbaccaabbabbbbaccbacbccccccccbbcbcccacbabcbababaccaabcccaabacaacccaccacaccacabcccaccbacaacccaabbabbacccacbcaabcaaacacbaccabbcbcbbaccaacccccacaabaaaccaabbbbabcacaccccbbbacbaaababbcabacccbaaaccbccbaaaabbaaaccaaabcbbcccabbacbacaacabbccccabccbcbbaacabcbcbcbbaccaacaabbccbcaaabcbababcbcaabbcacacbccbbabbaabcabaccbccbcabbbbaccbbacbccbbcacacccbcbaabcabcabbabaabccccacabcbccaacacbbbcccbabbcabbbbbabcacccacbbbccbcacababcbcbbccaccbacbabaaacbccabaaacacbbccaababccaacccacccacaaaaacbccaccacbccaabaacbabcacbabaaabcabaabacbbcaabcaccabaccaabaaabcbbcabcaaabccbcbababccbcbacccbcaaccbabbacbaccaaaacbbcccbcbbacabacaabccacaccccbabcccaccccaacbbbbacbcbbabbacbbacbabbcbaccbacbbacbbacaabcbbabacbbbcbabbaabbbabaaaabbabacaacabaacaacbbacbacabbbcbccacbcbccaaacbbcacccacabbccbccacacbbccbbbccabbccbbabbbaccaccbcbbbcbccccccbbcabbacbbcaacccbacccbbbbbbcccccbaaaabacbacccbacaaccaaaabcbbaccbacabbcaaabcbabacabcbbaabbbbccbacbacaaacbaabbbacbbbbabaccbcbbbbbbabacccbcccccbccabcbacbabbbbccaacbbcaaaccabacbbbccacabacabbaaabbbccaacbcbacbccaacabbabcbccccaabaaaccbcabcaccacaaaabcacabbbacbbcbabbacabaabababbaaabcababbcabbaaabaccabaaccbabcaacaaaccaabacbbcabaabacaababcccbcaacaaabbacaccaabbbcbbacacaacabbbbaabbccaaabbbcbbabcccbcaaccaccbbaccbcaaaaabaccaacaacaabcabbcbbbacccbccbbbcccccacaaaaacccaabacaccbbbcbaaaacbcababccacbabaccccabcacbaaaaaacacaaabaaabbbacaabbabcabacaabbcaabccaabacabcaacabbabcccbbbcacacbbaabcacbbaaabaaabbbcbcccbababccbabbbbaccbcccccaaccacacbaaabbccbabcccccbabaccbcabbcccacaacbcccbcbbbcbabaaccaabcbaccbcaabbababacabccbbcabbabbccbabbcbcabaccaacaaacccababcaabcaaaabcbabcacbccbbcccbccaccaccaabccabaaabaaaaabbbbbabbbaacbbbccaabcbbcabaccbbbcbcccbbcbacbbababaaaccabbbacacaabbcbaccabcbacabbacacabbbabacbccbcbbcccaaaaccccabcaacccbbbabccacbbabcbcaabcaaaccbccaccacaabccbcbbbbccaabccbaabcaaacbcacccabbbcbcbcaccbccbabaaabaabcbabbaaaacbbbaacbabcbbccbabccabcaabaacbbabbbaccbbbbbacbbbcbbaaccbccacaaccbbbcbcaaacccbbcbbbccbabacccccabccabbaabbacbbacccbcbccbaababacbbbbaccbbabbbaaacacbcccabcbcbccaacbbcbcbcbbabcaacaaccacaaabbccababaccccaaccccaccaaccaacaaaacccbabbcbbabacccbcbbaacccabcbaccabbcbbcccacbcccacbaaaacbababbccabcccabcaaacbbcbbbacbcccacbbbaaaabacbbbaacccaaacbccaaaaabacbbcbbaaaacbccaaaabbbcaacacabbbbabcbaaababccbccaabcaccbcccacbabaacccccbbabcabcbacbcccbaccacaccbbabaccbacabbcbacabacbcbcaaccabaccacbcbacbbbbcabcaacacbbbaccbbcaccbaaacabcacbbabbacaacabaaacacacaccbacaabbbbcbcbcaaabaababbccaacccbaccccbbbccbcccbbbabcbcaccaaaabbcbabcacabcbcbabaabcacccaabbcacccacca