acbaabbacbbcbcabccacabbccbacbcaabbbaccbbcbcabbbcbbbbbccbbbacacaacaaabbbabbcbbacbabababacbaacabccbaacccbacabbacaaabbcbcbaacbbcbcbabccbbccccbbacaabccacaacbabcaabaaaacbbbcaccbaabbabaaccbbbcccccccbaacabaabcabbbbcbcbaaabbabccbbaccaabacccbcaabaccacaaccbcabbcbacabbcabcbacabccaacacccbabcbcbaaabccacbcaaccacbbbacbbbcbaaccbcabcbaacccabcbcaabcacbacacccbccbaacaaaaabbaccbbbacaaacbbaaaccbcbcbaaaacaacccabbcccaccabaabababbabbbbbcbbcacbabccbbacaaaccccabbbabcaacccbcaaacacbccbcbbcaacbbbccabacbccbacccbbaabbaaaccccaccbbcaabbcbccabccccacbaababbabbbbbcbccabbcbbabaabbaaacabccabacbaabbbbcbccbbccabcccbbbbbbabcbbacaacbacbacaaccccbaacabcbacbbbbbabccbccaacacbccbbcaabcaabaaaaacbaacbacbaaabbbbbccbbcabccbbbbcbabaabccccaaabaaaccbbcbbbaaaabbbabcbccacbccbaccabbbaaaaaacbcaabbbcabcbbbcccacabaaaaccbcbbabccbbcabbaabaacbabcacbacbcabccabcacbbaabcbabcaacbccbbbcabaccbacbaacbabcbcbacabcbcaacccbaacbbabbaaccabcaaacaabcbbaabaabbaaccabbcacabcabbaaaaccbaccbaacaabbcabaccbccbbbccbbbbbcccbbbacaccbbaccaababbcabaabbcacccbcbacacaabcbbcbacbabcaccbbbabababacabbbcbcbbccbaacaccababbaabaabbbcaababbbccccaabcccbcaacbccacbbcbcccccacaabaacbbbcbacbbabccabcaabccacacccabbbacaacbabacaaaaababbacbcaccaccbcccbbccbaacaaacabcacbbcccccabbcbacbacccccabccaccaccbbababaacabbcbbacabbacacccccacbbcccccbbbaaabcbbaaccbcaaacccaaacabccbacbaaabbccabcccababccbbbcbbacbcbcacccbcabcbbcaaaacababbcbacacabcbcccacccccacbaabbacbccccabaaccaaabcbbbacabaaababbabbaabcacbbbabbbcabbcabcccacabbabccabaaaacbaabaacabbbabbcabacbbbabbaacccaccbabcacaacaccbacbcacbbaabcbaaacabcccaaaccabcccacbabccbabaaaaacbcccbbcabaacbbcbbbaacbccbbccabaabbcbcabbbcbaaaabbcaaacccbbcaabbbbccccaccbcacbbcbcacabbccacacaacbbccacbcababacbcbbacbcbbbbcbcccabbcbbbababccbcaabcbbcabcbaabacbbbacaccccababcaaabcbbbcccababacbccaacbabbcbabbbabbbcacaabbaabccaacccbccbcbbabcbcbccaccabacabacccabcbcabaaaababcababbcacacbabcacaababcabaacbacccccccabcbcccbcacccacbcacbcacbcaacbbcababbbccbcccaccacbbbbaacbccbcaaacaaabaabccabaaacacbbbaabaaababbbabcccccbccaaccbbacaaabccbacccccacacaacacbbccaccccbabaaaaabacacbcaabaaabbcbccaacabbaaaccbbacbcccbbacbacbbbcccbcbabcbcccaaccabcaaabbbabccaabbaabcaccacbccccbabccccccabbacbabacacccabbabacaabbacacccaccccccbccabccaaccbbbbccbcbcaccbaabcbcaaacccbccaabcaaaaabbabaacabbabbbacbaaacaabcbccbbaccaabacbcbbabccbccbbcbaaaccbabaccabcacbccaaaacaabbbcaaacaabbaabcbccbccbcbbbbabbcccabcbcbccbbcbbaabcbacaabbccacabacbcbbcbacbacaacaccbbaabaaababbcccacbbcaaabacabcaaaaabacbcbaaabbcababaaabababaaaabccacacabbcbcacacbbcbacaacabbcbcbaacccbacaaaabbaaabcbbbabaccaaccabacccccbbbacccccbbcababcacacbbaacbbbccacbaabcccccbcabbbacbbbcacabccbcbacbacccacbccbbacaacaacbcacbacaaacbabbcbbcbaabcabcabacababccccbcacabababbcacaabbcbbcabacbcaacaabaabbcaccbabcbbacabbbcaccbcabccbabcbbacabbabccaaabaabcbbcacabcbacaabaabacabbcabcabccbacabccabbbbcabcaacbabaaaacacaaccacbcabbbbaccacccbccaacabcaaacbcacbbbcaaacbbaabaccabbaacccccbbaccacbabaabcccbbaccaccabbbaccbbcbcbcacccaaababaabbccabbbbabcacbbcabaaccacbcabaacabaaabaaabcbcaccaaacabbbcccbcacaabbcaccbbcabaaabbbccaabaaccacbbbbbccbbbcbcbbbbbcaabcabaccacacbbccccbbacbaaacbcaccabbcabcbcacbbabcbbbababbcbabbababbcbabcbbacaccacaccbbacaacbbccbcbcbbaabcbaabbcbcbbbcbacacabbcabbbcacbcbcacbaaababbbacbcacacaabaaabbbaacbabacbbbabbcbaabbbabbccabbacacbcaccccbaacbcaacacbaaacaabcbccaaacbbbaccccaacbcbccaacccaccabaaaccbaabccbbabacbaaabcaaaaacabccaabccacacacbcabcabccabbababbbaacaaaabbaabbcbcaacbcacbccabaaaaccabbacbabbccbaaabcbbacbacbacbcbcaccccbbabbcaccaababbbaabbacbccbbbbcbbbcaabcccbccaacaaaabcabbbcabcaacbccabcacccabaabaaacbbbaacaaabcbccbbccbababacbabbbaabaccbbbacccccaabcaccaaabbbcbccaaacaabbacbbaababacbbbcbbbbaabcababaaacaabccccbcbbbcabacbcbcbcccacaccacbaabcababbcabcacccbacabacbabccbbbaccbaaaccaaccbaaacbaaacbbccbcbccabccaabccbacbacbbbcabbaacaababcbcccacbabccaaabcbbabababcaabacbccbbbaaccbaabcbbbbccaccbaaacccababcbcaabbbcbabbabcababcabcbcbaccbabcccbaabacbaaaaaacbacbcccacabbaabaabcbacbaaaaccccaccabbaabbcbccacbbcbabaabcbaaabbbbaabcbbcbcacbbbbacabcbccbaaaacbbaccccaaccbccbcccabbcccbaaaccabbababbaaaccaccabbcaccbccbacabbbcacbcabbcabcbacabcacbcaaabcbbbcccacbbaaabcccacbabcabaacaccccccabcabbbabbcbbcbbccaabcbbccbccbbbbbccbabbabcbcaccabcaacbababbcacacabcbbcbccaaabcaabccacaccbbacbbbaacacbbcccbbaacabcbbacccaccccacabcaababcbcbbcacbacbcbbbbbacaaaacaccabcaaacaabbacbcaabbbabbaccbbccbaaabaabcacbacbbaabbccbcabbabaabbccaacbbabcbccbbaabaabbcabbcacaaccccbaccabbacbabacacacaacbcaabccccaacabbcbbcbbacaaccbccabaaabccaacaaabccccbaaacabbacabbbbccacaaaccabaacabaaaaabbaabbabbbabcacaacbababbabbcabbaacabbbcbbcbbcaabcaccaccaaabbbacbcaccacbbcccccabcacbcaccaccabbbcbcbcbaabcabaaacbcaacbaaccccabbabcbcbaaccacccccbbbcacbaaabacccaaabaccabaaccabaaaabcbccacbacbaaccccbabcabaabaaaabaacaaabbcabcbaccacbbcccbaccbabcbcbcccaabccaacbabbabacbaccaccbbccbabacabcbcbcacaabbbbccbcacaabbcaacccbcaaaabaccaaaabbbaaaacababbacbacbbbbbbcaacabbabacbcaabbcbcacbcbcacbaacbcbacbbbbabcacbaaaacccaaaccbabacacabbaabbbbcbcbccabaabbacbabcbbcacbccccaaccabacbccaabbbabbacbbacacbbaccbaabbaabbcbaaccccabaccbbbacbcabcaaabcbacbacaaacbcaaaaababbabaacbabbabbaaccaccbababaaaaaaacaaacbcbacbbcbacbbbccbcababcaabacaabaaccacbcbccbbcbcbaccabcaaccabbababacbaaaacbaabcabccaacabbbababbaabcaabbacaaaccaccabbaaabbcbccbbacaaccccbabbccccbabccaabccaaabcccaaacccbaacacbccaabcaacabbacbccabaacaccbcbabccccabcbabcacbcbbacaabcbaacbabbcbbacbacbbaccbcabbbcbcaacbccaacbacacccbacbbaccbbaaaabcaaaababacccbcbbbbabcccacbccbcbbbaacccccbabbcbcacabbbababbbbbbbcbabcbbabccaabbbbaacabcbbcbbbacbcaaacabaaabbccccabcabbabbcbaacacaacbacbcacaabababbabcbbbbaabaaabbacbbccaabbacbccbaabbcbcaababaaabcacbaccbcabbcabababacabccbbacbabccbaabcbccacbacacabbacabbbabcacbbbccccbbbcbccacbbbccbccbaccccccbbacababbabacccbcccbbcaaccbabcaabbccacbccbaabacbbaaabbacacbcbbaacabbcbacaababcacabbaacacaabbcbaacbcabaaababaacabcbaacabcabbcacacccaaaaacbbbaccacaccbcaaccaaabccaaccaababcbbcbcbbbcbacabcbcbcaaabaaccabaacacabaabcbbbabbacacaaccabccacabbcacbbccbcaaacbaabbabaacaaabbbabaccbabcacbacccabbbcccacaaaccbbaccaaabccabcabaccacbccacbbcbabbaccabbabaccaccbaabbbabbcabaaabcacbcabcaacaccacaababcaccbcaccbcaabcbaacbbbbaacbaaabcabccaacccabccaaabbccabbabacbbaacaabbcacaccacccccbacbbbbcabccbcacbabacaaaacaccccaacaababacbbcbacabcbaabbcabcbabccbaabaacabbacbcccacccccbbbbbbcccacaabaabbcbababbbcbbaacbcbbabbcbacbbabcbcabccbcbacaaccabbbbccacabbbbccaccbbbbcabccaaacbacbbabccbbaacaaabbccaabacaabcbbcbbaaaabcbcbccccababcbababcaabaaabbcacbcbaacacaaabaabacabbcaccacacabaaacbcacbbabaacabbacbaabbaccbaacaacabbacaccabaaaabaaaacbacbaaaacbacacacaabaacbcbbaccbabaaccabbbbbacababbccbcbbbbbbbcbaabacaccbccaacbacbbabbbabccbbbbaccacbabcbcccbbbaaccbbcaacbcbccabcbccbbbbcabbaaacccbcaacbabccaabbcbcaacacabbbcbaabbaabcaaccccacbaaccaaccbcaaabccacccaabacbacbaccababbaabcacbcccbabbbcbccababbacabccaabbbabcbcacaabbcbcaaabbccbbbaaabcacabacbbabcbbccaaacabbbcbaaabcaabccbcbbaababaacbbaccaabacaacbbccbcbaccaaaacaababacaabbacbcababacbaaaccabacaacccabcaccbaccccccabbcbbccacaaaacccbbcbbcacabcccacbccaaaaaabcaaaaacaaaccabaabbabacbbaacbbbbbcaaccbcacbccccccacccccbcbbbcabaaaacbbcbcacabababccccabccaccbacbbaabaabccbcccbccbcbccacbcacccbbcbacbbaaaaccbbcaccbabbcccbcbaabbbbabccbbbbcbabcaabaabcabbaacaaaaabccccbbccbbabaccaabbcabbbbaabbbbbabcbabbbacbbaabcaaacaaabcacaabcbccbbcacbbbbacacabcbcaababcbbcbaacbababbabacabaaaccaabbcccacabacbacbacbbabaacbbaacabccbbcaccbcaabcacbcbbaabbbcbaacacbbbbbcbbcacaacacbabaaabbbacaaaacbacbbabcbcbcacacbaccbcacccccccbcbcaacabaababcacbcbbccbcccbcabcabbacaababcccbabbaacacbaabacaabaabbbacbbcacbcbbaabaccccacaacbcabbaccbabccbbcbcaaacbbcabbbbbabccaacbaabcabbcbbacabcaaccaccbbbaaabcbcabbbbacabbbbbaacbbaaaccacaacccabacaacbbbaccacaacbbbbbacccabbcccbbacaaacbaccccabbbcaacacaaabcbbbbacbccbbbbbabbabacbbabcbbaaababbbacaabbcbbcbabbcacccbbbabaaccccabbabbcaaaaaacccababaaccabbbbbbbbbaaccbabbcbcaccaccaacbcbcacabaacccabacbcabcbcabcccbcabaacbabaaaccaaabaaccbcbbbaacaaabaaaccaabcbcaacaacaccababbabcbaaccccbccacaaaacabbbccacccacbcaccbcacbaacccbacbbaaabcacccabbcaabccacccbccaaacaacaacbbcbcbcbbbbabcbcaabacbbbbccaabacbbccacaaccabcbcabaccbacabcbbbcaaacbacbbccacaabbaccabccbbacbbcbbabbbacbcbcbabccabbcccbcbabcbcaabbbbbcbcbcccbbabbbcbbcbbcccabbbaccbaaacbbbcbabbbcababbbaacabccbbccbbccbcbccabbbaacaacbccbabbaaaccbbacaccbaacccbbaacbcbbabbaaacabbccbbbaccbababbbacaabbaabbaabbaaccabcaccbabbbcaccabaaabcccccacaccbbabacccbabcbbbbcacbabcbcacccbcbacaaabacbbcbacbabcabcbbccbcccccbacbbbcbbbbbbacccbbbaccbaccabccaaabbabacababcbacbbbbbacacbbccccbcccbbaacbbacabccaacaabcccaaacccbbccbcaacbbaabcaccacaaaaabcbbcbbaaaaabccbbbababcabbabccccbccaabcabcacbbaacccbcbbcabbbcbabbacbabaabccbcacbababbabbacabaaacbbbaaccbcaaacbccbbcacabbacababaacacaacbcbacbbbbcbcabaababbabbaacbaabacccbabbaaacbbacccccacbcacccacabaacbccbbcabaabbacbcabccaaaaacbbacbaabcbcacbabcabbabacbbccaacbbcbabbacaacabaabbcacaaacbccabbabaaabcbbaaccccbbcaaacababccaacabbbccbacccabcbabbbbacabcaaaacbcaaabaacabacbbaacbabbaaacaccccaaaccaacacbcbaaabbccabababbccacccbbcacbaacbcbbabaccbabacabacbaaabcbbbbabaacabccabbcabcaabcbbbcccbcbbacaaccbbbbccabbcaabccbacabacaccbbccbcaccaaabbbbcbacccabcabcaaccaaabaabcabbcbccccacaababccccacbacbabaababccaacacbaaabbbbcbcaacaaaccccbabaccacccbbaccacabaccacbbcaaccccccaccbacbccaacaacbacabbaabbcbcbcbbcbacccbcabccbaaccbbcaaabbbccccbbaacaabccccaabaabacccaccbacaacbacbcacbcccacabccaaabaaabbabbcbbccacacbbbcbcccabbcccbaabcccaaccbaacacbbbabaaabacccbaacbbcaabcccbbacaacbccbbaccbacbcabbcacbbcaacaaaababccbbaaabaacccabacabcaabccabcbbcacbcbcbaacbacaccaacccbacbbbaaaacaaacaaacaacacaabbbaabaacacbbbbbabccabaabbacaccbcbbababcbbbbcbcbbacaabbcbccbcaabbbcbcbbbacabbcccaaabbaccbaabaaacbcbbbcccbaaacbaccbcaccbccbababbbbbaccacbaaacbbabaacbcaccabacaccacacabcbacbbbacccaaacaabbcabacaaccbabcbcbbabcbbbbbcacbbabbabbabcbbcbbbabbcbaccbbaaaccaaccbacbcbcbbbbbaabcbbcbbaacbabbbabaacbbaaaaaacabcbbbcacacacccacbccacbaabcbaabbbaccbaaabacbcacaaabccaabccaabaccbcacbcbcbaaaabccacbbbabaabbccbcacaacabacbcaabacccccaabbcaacbabcbacaaaaacccccbbbbacccaacccabaabbacbbacaacbbabbccbaccabcbacbcbacacbcbbbcbbccaaaabcbabccbaccbababccbaacabbbacbabacccaaacbabcabcbabcbbbbbbbcbcbbccbcaabcaccbccabcaacccccbcbbcccbabbcabcaaabbaaabacaaaabacabccbcbcbbaaaaaaacbaacccbbaaccaabbcbcbaaacbbccacbccabcbabbbbbccccbbcccaacbbbcaaccbbcbccacbbababacccccbabbabacbccaabbacbbbcbcbcaabcbbbbbaacbaacccbbbbccbacabbcbccaaaaccbccccbacccbcabcbbacabbbbababacaabacaaccabccaabbaccabcaccbcaabcbbaabbacaaabcabcccaabcbccccbcabbcaaababcacaabbcabcaaaaccbaccccacaabbbbccbbcacaaacbcacaccacbabbcbbccccabcabcacbaababcbaacaacbccbabaaabacacbcbbabcacaacaaabccacbcacbacbacbabccbaababbcbcabbcaaacaabcabbaccbbcacbbccaccacaacbbccabcaacaaaaaacbcbbaacabbcacabbccabaaaabbcbbcaacacbbbbccbbaaccccaabcabbaaccbbbacbbabcbababbbbcccbacaaccabacaaacbccbbbaacbbcbacbcaabcaaaccabaaaccbcccacbacaaacabbaacccabaabccbabaaaabaacaaccbbcacaaaaccababcbccbbcaccacbcabcaaababaaaaccbaacbaccaacbaababbcaccbccabbaccbabcabbcaaababaaccbacbbcbbcacccabbcbbcccccbbcbbabcccbccbaabacbbcacabcaacbabaacaabaabbbbabcccaabbbbbbcbaabcacccbaccbbbccbccbbcbababacbbbacabcbaabccbaaaabbcbabbbbaabcccccccbcccaccaaaccbbacbbaccccaabbacabaacbccabacbcbabaccbcbbabbcbabaaaabbacaccabbcbaabccaacbbbaabcababbcbbcbcbaccacaababaaaacbcacbaaacccaabbbbbacbacaabbbbbaabbcaaccbacacacabcbbcaabbbbacbacccbcabacbaacbcbaccbabacccacbcbacaacbcbaaaaccbacacaababbcabbcaabaccbcbbcbabacbabaaabccacaabcabbcaccbaaaabbccaabcaaaabbbcbbacbccbbacabbaccbaaccbabaacbaacaabaccacbaaaabbbbbabbaccaabacabcbcabbccbcabcbbbbabbcabbbcbbaccaacbcccbccabaccaaacabccabaacbcbbcbbbbaabcccbaabcaaacbbcacacacacabcbccabcacbacbabbbabbbcaaaabcbccbaccccababcbcabacbbbbcaacccccacabbcacbcbbbbbcabaabacaccaacacabbacbacacaabacbabaaccbabbcbcabbbbbcacaccaabbccaabbbccabcacbaaacccbcabcacabbbcccaccaaccaabcaacaaabbccaabccbcbbbcbccccabbccaabaccacbcbabbacacaaabaccbaacbcbaabbcbbaccacacbaaacbbacbcccacbbbbcacacaaaacccbbcbcccbaacbbbaabcabbabacbcbabcaaacbcabaacabccacaaabccabaccccaabcaabccbbaabbbccacbacccaacaccacacbaaabcaaaaccbcbaccccbaaaccbccbbcacabbabcbacacacbbaaaaacccbcbcaaabbbacbabcccbbaababbcabccbabcbbaacaabcbacbbcbacbcaabbbbbacaaacbcbabccbcbacbbacbabbabcabaaabaabbbcaccaaccaacabbccacbbbaaccbacbaacbcabcabcbbabcbabcbaaccabcabcbabbbccccbcacccbbbcbaabbcacababbbbccabaaaacaabbcabaabaaaccbbcabaccabbacbbbcbacaccbaabaccbcabaabbcacacccbabacbcacbaabcaacaaacaabbbcaccaabcabccaabbcbcccbbabccacccbacbabccaababacbcabcbcccbbabccaabacabbbabccbacccccccbabcbcbcbcbaccbcabccbacbbcaaacaacbcaacbacbbbcaccccaacbabcacbcabcacaccbaaaaaaacbaacaaccbacbcaabcaabbcbbcccbccbccacccbbabccbabacacabcbaaacabaaabcbccabcacabcbcbacccabbcaabcbbbbabaabbbbbbcbbccacaabcccbcacccbbcbaaabccaccbbcbbcacacbbacbbbabcaacaaababccacaacbbababbcbabbabbabbbabbbcbabbcbaaabaaacacbacacabbcccabbcbccccbabbbababacccabcbbacbacbcaaaaaabcbbbbccacabcaabcbacbabaccbbbbbbbcbbacaabbaaabccbbcacaababaacaabccbbbcacababaccacaaacbcbabaacbbbbccbaaaacaaacbbcaaccbbccbbaabccabaaaaaaacbccaacbaabaabacacbbbaacbcacababbcbaaaabcaacbcabaacabacbbaacccabccbcbbbbcbabbaaabcacaaacacbccbccbcabcbccbccaacabcabaccbcaacaaaaabccbbbacbbbbbabbaacbacccabacbcbcbaaaaacbabacaaabaacbbbaaccacbabaaacbcbbaabbacacaacbaabcbcbccaccccccbabaabaccbabaacabbacbcacaacaacccbcabacccaaabaabbacbbbaaaabbababcbbbaccbabcbbbbacabccbababbbabbcabaacbabbccbabaaacbbccbccccacbbabacbbaabbccccbcbcacbcaaccabaabcbabbabaaabbbbbbbabbbabaacacbaabcccabcbaacacbcacaabbaccbabacabcbaccbbaabcccbcccbaabbbcbaacacaacbbcbbacccccbbccaabbaccaacacacabccbbbbccaabbacccacaabbccabbabbabccaaccbbccbbbacccaabccaabcacacabcabcccccccbbccacccaaacaabbccacbabaabaaacacbbaacacccabbbbbbbbbcacccccbbcacbaccbbbbaaaccbcaababbccabcbacccbcacbbababcacabbacbbbabcabaabaacaaabbcccbbcbcbbbababbccccbcccccbcababbbbcaabbababbacaaacacabbbbaaaccaacaaabcacabacbcbbbbbabacbacbbccbccbaacccaaaaaabaaccbababbcabbabcccbcbcbcaabbbcbccacabcbbcbbacaabbbabcabccabbabbabcbbcbaacccbabaaaabacabbcbbcabbbacbccbbbacaacbbbbaaaccbbbbabcccbbbaabccbbacccbcbbbbbcccabbababccbcbabbbbccccbbccaaabbccabbaabbbcccccabbaabbbcaacacabcabcccbbaccabbabbbbcbabacccbacaaabacccccaaaaccbababccbbbcbcacccacbbcbcaabbcacacccaccbcacaabaaabbcaccaaacabbccaacbaacbbcacaaaabccaabcbabacababacbcbbabbabbcbbabacccbcbaabaccccabcaabaccabacbcaaacbaabcaccbccbccccbabbcccbccaaabbccacabcbbccaabaababccacaaccacaacccaabcccaccccbabcbbabbabbbcaaaaaacabaccbbabaccbabccbaaacaaacbaccbaaaaaaaccbbcbcbaacacbcaacabaaaaabbcacbaaccaacbababacaaacbcbabaaabbbbcbbccabaccccabbcaacacbaabcbcbbbcbbacabbbcaaabacccbbbbcababcccababcbcaaccbaacccaacabcabcccbbabaacbcbabbbccabbcbcabbcbccababaacbabbaaacaacacabaccabbcbbcacabbccbcbbcabccbaacabaacacacaabccacabaccbacbaababcbcccaabbbcabccabcccaabaaccabaaaaccabcaccbcccaabaccabbccbacaabaacbabbccacbbcaacabcaccbabaccaccaaabcabbaaacacbaabcaacabbcacbbcabacbbccaaabaaaaccabbaaaaacccbabaccabbbbaccccabcacbbcabcbcccbbbbbbbacaaccbaacbaccacbacabcbcbccaccacbbccbacccacbbbbbabbaacbcaabacbbbbaabbacbbccbccababbccccbccacabbbabcaaaaaaaacbcacbccacbaacbbcbacaaabaaabbabbaacabcaccbbcbcacbacaacacabcccbabbabcbbccccccccaabababbbbccbcacbccacbaccccababcbcbcacaaaccbbaccbcbcbbcbccccaabacacabaccbcccccaabcbbbbcbccbcbcccabaaabccbcbaaccaaccbabaabcbcaacacccabaccabbaaaabccbbcbcaccabcbacaabbaccabacbbccbbbbcaabcccacbacbbcbbbbcacaacbaababccbbccabaccbccaaccaabacaacbaacbcacaabcbbcbbbacaacbbbccbabbbccbccabcaaaabbbbacaaaacabacbcabbbcabbacbabaacaaaacabcbabbaacacabbcaaccccaababcbbbbbaaccccacacbaccababacacabacbcabbcacccacbabacaaacbacccbabaaaaacaabaabbaacbabbcbbccbabcbabcccbbbbbabccaaacaabbacbbbccaaabbcbcbabccacacaabcbcbcaccaabbccbcacccbcbbbbbcbabababbbbbacaccaccababcbabaaccbbcccacaabbbcaabacbacbababcaacbabbcccaccacccbbcacaababcccccabbbbbacbbcbcbccbbcaaccabacababcbbbbbcbbbbcabaacaacbbacccaccbacaabbcccaaacbbabccabcbccbbacbabacbcaaaccacbabbbccabbcabccbcbbababaabaacccbccacbbacabcaacabacabbbbcccaccbbaaacaaaaccbabcbaaaaaccbccabaccbcbcbcbbcaaaaababcccbcaacbacbcbcbbccbbbabacacbcaccacaaababaabbcbccccaccacaabccbcbbacabcbbbbacbbbbbbabbacaaabaabaaccabacccacbbbbcbbbcbacaaaaabbabccacacbabbaaabbbbcacccbacbaacbaccacaaaacbbcbbaaacbcaccbbccccbaaabccccabcaacbababccbacacaccbccabbcbabacbcbabbacabaacccbaccaacbaccbbaabbaacccaaaabbcbbacabccbcccbbaacaaaaaacacacbaaabbaabbacbbacccbacbbbcaabacccbacccbbacabaacaccaaccbcccbbacbabbaacabbcbaacacacaacbcccbcbcacaccaabcccabcaccbcbabbcaaabbbacabcbcbbabcccccbbcbcbcbcaababccacabbbcbbbbaabcbcaacabbbabccbcbaaaaacabbbcabcabbcbaacababcabcbaabccabbbccccabacccccabcabcaccacbbcabbcacbaccbaccccaacacccabcbbbacaccccbbabaabbbabbabcabbaabcbccbabcaababbbcabbaaacacbabcaabcacabbcbacaccbbbacabcbbcbbbabcbccbabaccccbabcbccbabcabaabbccaaccbcbaccbaacbccccccbcabaabbabccbbcacabbccbcaacbbbacbaacabacccbccccbbaabcbacaababccbaacaabbababbabcbcbaccbabbccaacbaacbccbcabcbaacbbacbbaabaabacbcbabbaacacbccaababcbcacabcbcccaabcbcbacaaacbbcbcacaccabbbbcccbaacbbaaaacbacbacbbbccaccbcbbcccbaacbbbacbbbabbaacccabcbbcbaabbbccacaacccccbbaccacaababbbcacaaaaccbccccbabbccabaabababbacbcabbbaaabbcbbbabcaabbbaccabcbcaabcababaabcbcaacbabbabbbbbababccbbabbcabbcabaabcccbbbcaacbbcaccbbbbaaaabcbaccbccccacbbcaacbaabbcbcacaababccbbcaabcaaacacbcbbcbbbcbbaabcccbcbcabcaabacbccbbbcaabbcbabcbcaaaabccbaccaccbbbbabaabbbaccccabbcbcbccbcaaccbacbabccbacabbaaccabacbacaacbcabbcaaccbaabacacacbbcaaabbaabaabccaacbbcbbbbbcabbcbbbcabcaccccccbbbbcaccabcabbbabacbbbcbacbbabbbbccabcccbcacabbbbacccbaabbacacababaabacabbcababbabcabaccccacbbacacaaacabbbabbccbacccbbbcaabbabbbaccbacbabbacbabacbbcccbcabcccaabacbaacbbcababcacacbcbbcbbacaaacbbacbccccacaabbcabbbaabacccbbbcbcbbbacbbaabbccbcbabbbacabcbbbacbbaaacabcccccbbcbcbcaaaccaabbacbccbcabababcbcbaaccbbaacbbccacbbcbbacacbaccacbbcabacaabccaccabcbbabbbbabbbbabcccabacbcbcbbccbacabcbcacbcabcabbbaaaababbacaaaaabbccbcbcaabccccacaacbaccbcbbbbbcabaaccaabcbbcbbbbbcacbbbabbabaaaccacaccabbcbbccabbabccccaaaababccbbbcaabbcbbcaccccccbababcbbcabbcabbacbaacccaaccabcacaabccbaabcacacabbbccbcbcabbbabaacaaabbbbacaaacbcbabbcbabacaaaaacabcaccaababccabcccabbcabcabbbcbaabbbbcbcbabbaacacbbccaacaaaaaaaabaaacaabccbbbcbccccccaaabbccacaaccbaacbbbbaabbacbacaaaaaacacbcabacaabaacbabaaabcbbccacbbbacabbaccccacbcbbcbbcaaccaacbcbabcabcaccacbbaccbbcabccaabaaccccbaccbcbaaacbbcbbcabcabacccbbbaaaaabaaabbcabcabbabbbababbabcbbbcbcabbcaabbcbbbcbcbbccacabbccbccaacacbabbbbabbccccbbbacaaccabcaaabbbacababbcaacbbcaabccbabbcabbbcccacabcabacaacaabbbbaabcccabaccaacbbcabbacbababccaaabcccaccbbccbaababbaabbcbcbaccccaabcabbaabacbaababbbbccccaaababaaaacbbbbaaaaacaacabbcbacaabbbacbbabbbcacabaabbbbaaacacbabbaabcbbaaabcabcacaaaababccbbbacbcbaaaaabccccabcaacacccbbbabccbcbacabaabbbbabbbccabacacbcabacbbbaaccaabaababcccabccacbbcbbaaaacbacabbbcabaabaabbababbbacacbbccacabbcccacbabbacacbaacbbccbbcacccabccbbaabccaabcbcaaccbccaaababbbbccababaacabcacaaabacabcccacbabcbbacccabaccabccbacbcbaacbcccccacbacbbcccbcacccabbcccbbaababccabcbbabaabcbcababbabbbcccababbbaacbbbbbabacaacabccccacbacaacbbbcabccacababbaaaacacbaaaacacaaccbcacbabbabbbbccaaccacbabcaacaabababacbbbbbcbbbcaabbcabccbcbcbbccbcbcccabcbbacccbccccbcbcbbcbacacacbcabcbaacabccacabbbbbcbaaacbccaccccbabbbcbbcabaaacababbcccacbabaccaaaccccbaaaacbcbbacbccaacabcbbbcbcbbbbcacabccbcbabacbbcbcaacaacbcabacabbabaccabbcccaabccbccbccaccaaabcbbcccccabaccabcccaabcbabaabbacbcababcaacacbbccbbacababbaabaccaaaacbaaccbbbccabacbabcbabaccaaccacacbcbacbbcbbabababbbbacaabbabaaaabbabbbcccbacbcaacbbbababcaccbbabaccbaccbababbbacbbccabaaccaabcccabcaacbbbbcacbbccabaccabacacaacaabbccacaabcaabbcacababacbbcababcabababcbaaabaabcbbcacccbbaabbbaaacbbbccbbaaaaaccacacbbccbcbabaacacaaccbaaacababbbbcacbaccbaaabababcbabbcbbcbbaacacbcbcabbcacbcaacbacaaccaabcbabcaaabccaaacbabcaaaabbccbbccaaaaabaabcccbbbabbbabcaaccbacaabbccabbbacaaaabcacabccbcaacaacabbcaabbcbabaacccbacccabcccbabbcbaabcabbbacabacaaaacbbcabacbccbcaabaabcabcccabaabaccabaccabcaaaccbbbaacbbcacacacbacbaabbaabbbababcacaaccababcccbbacabbaaacaacaaacabaabaababbcccbcccbababbacaabaabccabbcaabaacbbaabbabbccbabaacbcabbacababcacbbacaacccbcbbcaacbcabaacabaabcbccabacbcbbbaaacbbaabbcccabacabbbbcabbaacbcabcaacaaaccbcbbbacbbbbaaaabbaacbaaccaaacbbcbcbaaccbbcaaccaaabcacccaccacabcaabbacacacccacacaacbacbbcacaacbacbbbabacabccbcaaaccababbcbcaabbaabcabcbbbbcbccabcaabccbacaabbcbbbcacbcaabbcbbbcbbcaabaabcbbacacbcccaccacbcabcccaabcbcacabcbacbcacccccabccaccaabcbbcaaabccbbacaabaacbcbbbbbabbbcbacbccabccaabbccaccbcacbbbbaccbbcaabaacabbaabacaabcbababcbbbbbccabbcbcbaaaabacacccbbcccabccbbccbbbabbbcbbcbbacabaaaccabbbaaacbcccaaabaabaaccbabacacabbbccbcacbbacbcbbbcbbbaccacacbabbcbccabbacacbccbaacbbbabcbaabcabaaaacaaabcccccababbcacccaabbabaccbcccabaababbabbccbbabaabccabbcbbacaccbbbacccccbacacabaccbbabbabaaccbacaabbcacaabbcaabccccabbccaccaccccbabbbbccbcbbccababcbbbaaaacbbcbbcbaacaccbbcabaabbcbccbabcccbaccbcccccbacaacccbbcaacabacbccaababbcccaaaacbccaacbbabbbbbbaccaccaababcbcbcacccaccabcbaacbbcaaacbbbcababccccaccbbbacaacacabcbaaccbbacbcccbacacbbbcbabccaaaacccaacacbacabacaaacaccbcbbacbccaacbabacbcbbbaaabcacabccccaacabbbcbaccaacabcababacaaabcbcbcbbaacaabcbcacccabcccbcbaacacbcbcaccabcacbaaccabcacbaaabcbbaccccbabbabcacacabaccbaccbaaabcbacaababbbbcabbcbaacccbcbcbcccbcbaabbaaacbccbcbabbcccccbbaccccbaabcaaaacaccbbcbbbcabaacacaacbbacacabbbcaaacbacaccbcbacbaaaccabcbaabababbabbcccccaacccaabaaccbaababcbaabcbcabcbaccbacbabbaccbacbccbbbcbaabaacaabacbacbcabacccbcbbaaccccbcbcbcbbabbcbbcbcbbcbabbbcaccaccaaaacbcabcabcccabbaaabbcbbabcbbcbbcbcacccaaaacccaacababaacacccbcacabaaccbccaccbbbcaccaaaaabbbaabcbaaacacacbacbcaababcaaaabbbbabbcbcbbaccaabbabaacbaaaacabcbbcbbacbaaacaabbbccbccacaabaccbacaaabcabccaccbcaaaaccccaabbabccabbcbbbcacbacbcbcabacaacccabbbabacabcbbaaacbbaacabbbaaacaabacabccbbcbabcbaccacbbcccaabcbccabbacacbabaabbbcccaaacccababbaabbbacaabbbacbcaaabcacbcccacbbaabcbccabbabbcccbcbcbcacbbccbbaacaabbabacbaaabbcbbccbcaabcabbccbcacaaaccccccbabcbbbaaaccaacbbacbbbcacccbccaaabaccccaacabacbabbaabaccabcbbabaabacacbaccbbaababbcccacaacbcabcacabaaccacaaabbbcaaabaaacaaabcbaaaacbabbcbaaaccbabcaacccaaccaaacbacbacbaccbacbbcccacbbaaacbcbbabcccccbaaacaacbbbabaacabcaacbbccaabaaabcbbcbbaaabbcbbcabbaaacabcbbcaccacaccaabcbaacbbabcbbacbabaaacaacbaacbcbcacbbbabacabbbccccbabcccaacaaaaaabbccbaacabccccaaccccbcbacacbcccabccbcaabbababbababcaabbbcaccccccbcaccacaacabcacacbbaaaaccccbccaccaaccbbcbbbbabbcaccccbacccbccabbacccabaaabacabbccbcbcabcacacbacabbabcababbbabcbbbbbaccacaabcaaccababaabcaacbacbcaccaabcbabccbbbaabbbcaabcbcbaccabcbbaabbbcacabbacbabcccbababcabaabbbcbacabbcabbbabacaaccabacaacbaacbacbbcbbaaacbcaabcbbcaabaaabcbcabaaaaacaaaaccaacbaabaacbacbcbccbbbbbbcaacacacaaccbabcbcacccbcccbbababbabcaacaaaabcccbbcacbbbbabbcccabcaaccbcbaccacbbbbccbbcacbabbbcaaabacaccbbabbacbaacaabacacbcacbcabbbcaaabaaaabcccbbabccbcbcbcbccaaaacaacaccbaacbcbbccabbbaaccabbbcaccababacbbcbbaccbbbaabacabbbbccbaaccbcabcccacbbbaaaababcabcaccaccaabbaaabaabbbabccaaacbcbbaaabbcaccccaaaccabacccbccbbabbaabccaabcbbabccbaccbbaaccaaccbbcbccbbaabcbccccccbcccaaabababcabbbbbbccbcacccbbcbaabcbbcccccabbccaaaaaacccacbbcaaabbcabacabbbbbacbacbbbccbcccaaabccacccccbaccaacaabcbabaccccaabbbbbacacbbacaababccaabcccbccabacbccccbccaacbbbcbbccabccabaabcbbbcbbcbbcacbaabaacaacbcbccacacbaabcabbabcacacacbabaabbcbaabacacccbaaaccbcacacccbcbbacabbcbbcaaccbbcbaaabcaaabaacacaabaccccbababacccccbccacabccbcaccbacbbabcbaaacccbbcaacbcabcabcbbaaacbbabacbcaccaacccbbaaaabbbaabababccbbccbccbccbbabbabbacabababbbbacaacbccbbbbaaabcaaccbabcaaabaaabaaaaaaaacababcccbbaacbcbaabbbcacabcbcccbccbcccaaacccaaccbbacabaaababbcbabbacacbabcacabbabcbabcaaabacabacccccaabbcccbcaabcccaaabbacbbbaacbcccabbcbbaaabbcbcbcbbbbcbbaccbababaaacaaacbcaccbbbbcabbcabbabaacabaccaabbcaacbabacaccbacaabcaaaaccaccccccacbbcacbbbcbbacccaccacacaacaccbcbbbabaababcacbbaaaacaccababbabccaccbabccbbacccaccaaaabbbbbbcbbaaabcabcabcbbabbaaacbbbbcababaccacbcbccbccccababaccacccabcccaaabbcaaaccccabcbccaacbccabcbcacbabbaacaccaccbbaabcabaccacabacccbbbcbacbbaccccbaacaaabaabcacacbcbababcbbcabcbbcbbacaabcabcacbaabacabababccbcabbbbcacbbcbcbcbcccacccabcccacacabbccabacaacabbcbabcbbabcbcabcabbacbbbbbcacccbaaaaabbaabcbaaabcabbbcaccbbaaabcbccaacbbacccbbbabababbabcabaaabcabaccbcbbbabacbaabbbcbacccbacbabcaabababaacaabbbbaaacababaacababacaaabbaaabcaabcbccaabcacbacccbcaabcabcccaaaaaccbccbcbacacbbcbbbbcacbbbacbacabcacabcaacbbcbbccbaaabccaaccaccbccaabcacbcbaacbaacaacbcaaacaccacbbbabaccbcbabcacbbbacacaabcbbbaaababcabccacbbcaaacabcaabcbacbcacabcaaacbcacaabbcabcbabcbcbaaacacacccbaccbaaccbbcbcaaacaaacbbccbacbacbbcabccbcbaacacababcccababcbaabcacccabaacaaabcacabbcacbbbacccbcabccacabcacbaabaccbacabbbcccbccaacacbcaccbccacacbcbbabaabccbbaabbccaccabbbbababaacabbbcaaababbbbbbbbababbabbccbbbbbbccacbcabbacaaccbacaaacbcacaaabbbbacaaacbccbacbbacccabcaaabbaacaccbbbbbbbaacbbbcbbbccabcccaabbcaabacaaccaacbaacccccbbbabcbbccacacbccbccaacbcacbacccacacbbbbcbabaabbbbcbbaabbbaccccabaccbcaaacbbcccacacababbbbccbbaacbaabacacacaaaabbcaabcbbcbcbaabbababbabcbcabaabbbcabccbcabcabcccbccbbabccacabacbbababababbccbaaaacccabbcbabccbbacbaaabcbbacbcacbbbabacbaacbabcbaacbbcccbbbaabaaacbaabacaacbaabbbaaaaabbabbacbaabcaabbcbbbcbcaabacaaacbcccbbaaabcccbbccacaccabacbacbcabaccbbbbccaabccccacbacaacaacbbabbaaacbbacbccabcbcabbabaacababcabaccbcbbacbabcaabbcccacbbaabcbaccbacbccbbbacabcbabcaccaaabababbbcaabcccaaaacbcbbcbaacabccbccaabcbbaaacaabbbccbccbcccaccccabbbcbbbaabbcbbcbaaaacaaccbabbcbbcbccbbbbaabbabbabcbbabcccbcbbbacababbbacccabbaacaaaaaccbccaaaacbaaccbcabbabacbbabacbbbabbaacbbbbaacbbbabccaccbcaccbcbcbaaccbbcbcaccbaaccbaccabababbaabacccacbbacbaababaabbbabccbbbbccabbaacabaacbbaaacbababaababcbabacbccaaaaaaabbaaaaaabccbbaacbccaccacbccacccabbbababbbacacccbabcacacbbbabbcabacaabaacccabaaccccaacbcaabcabbbbccbabaaccacccbcaccccabbcaccabbbbcbacacacaccbcbabcbcbabccabaccacaabaaaabccacbcacaccccbaccacaacbacbbabbacbabbcaaccabcaaacbbabbaaabaaccccbbbbccaccaaaaaccbcabbccbbbbcccaccccbaacabccbbccaaaacbcabbcbbbaccbabbabccacabcbaaabbaccccccbabbbccaaacbcbbabaacabaaaccabababbccabcabacbcabaabcccacccbbbbbaaabbbbaaaabbabbcbcabbaabbbaacaabacaabacbbcaaabcacbbccbcbcabaccbaababbaccacaabaccaabbacbabcacccaaaccabbccaccbaaaabababbcccabcccababcabacbccbbcacaaccaabcbccbabbbaaacccaccababccabcbabbaaababcaccabbbccaacbcccacacbcbbaaabcabcabbaacccbccbacbababaacacbcbaabaaaabacaccbabcbbccbbbbccbccbabcccbabbabbabcbccbacaccbbbccbbcacbbaaaccabababcaccbbcacabcabcccaabcccccabbacbabcccccccbbaaacbcaaaccbccaaccacccccacacacacbcbcaacbbcbabcbbacacbcbbaacacccacbbcabacbaaabacbbbbcbbababaccbaacbbcbaacbcabbababbbabbcbcbabccbbcbbbabcacbbabcbaccbaccbbcabcbbcbcccccbcaaabbaabaccccbcaccbaabaacbbcbbabccbabcccccccccaaacabccbaabcccbcbbbbaacbaaabaacbacaacbcccccaababaccbbacabbcbacbbbcacababaabcaccbbacacacaacabbbcbbcaacbabaabacacababccbacabaacbcbacacbbccbcbccccbacacababcaccaaaabacbccccbbccbbabcccbababbbbacbbbbabbbacaabacaccbbbbbabcaacbccabbbccbcbbbccccbbaabbbabccacabbccaabbaccabcbbbbbccccabcbaacabbbbacbbbbcbacabccbcacbabccbbaccbacaaaaaaacababbacbbabaccbabacccbaaaacccbcccbcbcccccccbcbcbbbccacaabacbaaacbacacccbbbccbaaccababbcccccbcaaaabbbccbcacbcaacbcbbcababccacbbcbcccbabbacacbcbbabccabcccbcbbacacccbccbbbaaaababbccbacbbbbabbbcabbcbacccaaaaaaabcbbbacaacbcacaacacccbbaaaccbcbaaacbaacaaaaabaaabbaaacbbcbbccaabcacbaaccabcbaacbcaacbaacabcacabaccabcabacbbbaaaccbaabacbaacbacaacacaabcccabbaaaaaabacabccbcaabacacaccabccacbbbabbcccbbbbabacabbcaaaacabcbaaabaaaacbaccbcbacaccacbaabcabaaabacacbacbacabbcbccccbccbacbccbabbbcacacbbbcababccbaacabcaaaababccccbbacaccccacbbbcaaccbaabccccbcabcabbaacabbcacbacbcccccaaacabacbbbbacbbacbacaaccabcacbaacbbaaccbacacaaccaaaacbbbbabacaababbbacbcabccaabcaacbbbaabcacaacbacccacabbaaacbccaacbabcabaabaabccabbbcccbcbbbcbaccbacbcacabccacbbbabaccbcbaaabbbaccabaaccccaaacbacabaaaaaabcabbbbcbccbbacaacbcbbbcaaccccacbbccbcbccbbcabcaaaccbcaabbbaaacabaccbcabaababbacccacabaaaabccccbbbccbbacccbacabcacaccbccbacacbcccaaabcbbcccabbbcabacaacabbbbbcbabbcbbcbaccbbbbaaabbcaccabaacaacabacbaabbcbcbabccbaccaacacbbbacababaaaabbbabbbcaccbbcbbacbcacbccbcaabccacbcbacabbbbbaabccaacbacaaacbbcacbccbbbcbaabbccaaaacbacbcbcaababaccccbbabbacbbbaccbcaaaccaabbacbbabbaaabbbbcbbbcbbccbabaaaaabbcaaaaccacbcbcabbcbbaaccabccccabbaacacbaccaaaacacbbcbbccbabbcbabaaaacccaacacacaababcbccbbbbcbbcabaaacbcabcabbababbcbcbbaabaaaccbcbaccbbcabbabbcbcaaccbabbbcbabcaaacbbaabcacacaacabaacacacccbbcacbabbcbbcbabcbacabbaababcbcaacaabbbbcabbabaabbbabccccccbcaabaabccaabaaacbbcabbbcbacbcaaacbcbbaaaaabcbbbaabbbacbaaabbcbcbcccaccabbabccbcbacbbcccbaacacbcbaacabbcaaccabbcccbbcacacbbccacccbaacbcbaabbacbbaaaaabaacabbbababccaccccabaccababcbaccbbaacbcaabaabaaaabbaabccccbbabacabccbbcbabaabccbabbbabcbacbcbbaabacabaaabccabaaabbbaabbcccaabbacccabbbbcbcabacacaabacbaabacabaaccccbcbacacabcccabcbcaabcacbcbacacccabaacaacbabaccaaaaacbbcccbccbbccaabccbcbccbbacaaacccabbbcaccabcccaaacacccbbcccaaaaababbababaabbbaababaaaaaaababbcccbccacbbbcaacbcbabbaabbbabbcaaaabbcaccccabaccbccacbcacccccbbabbbaabcaccbccaacccbbbbbcbccbabcaacbcbcbabacccbacccccccacacabbaabaaacaccbbcabbaabcbbacbbbcaabcaccababaaccaaccbaacbccacaccccabaaaaccabbabacababbaaabcbaaaacbccabacaababacbbacaaacacbacacbbcaacacabaaabcabbabbcaacababccbcaccbcbcbbccbcaaacaacbbabcaaabbbabaabaaacacbaaccbccbcbababaaccacabccccbbccccbabccbaccccbaaabbcbcbcaabababcbabacaccaacaaaccaacbbbaccbacacacbbbbbbaacccbbabbacaabbbcbaccbbbbbcabbacbbaacaabbbcaaccacbbccbcbbbccbabbcacbccabbcbbcaccaabbbccabaabcaaaaabbbccbbcbabaaacaacbaaaaabaacabcbbcbabbbababcbaaabbaabbbbabacbcbbcbcabbccbacbaccbbbababcababccacbaacbbcacbcacbabbaabccacbcabbbaaaabbacbbaaccabcccacbbcaabbcbccbbcaacbbabbabcbaabbcbcbaaaccbabbacabbcccaaccccbabcbccacbbbaabaacabacaaacacababacbbcaacbcbacbbccacbbacbccbccbbcccabcbbacababcbaacabaabaacbcaccabbacaabbbbcabbcbaacacbbcaacaaccaaaaacbabacabbcabcabcbbcbcccaccabbabbccbacccbacaabcaccbcbcaccaacabacbcbccaabccaababaaabbabacaabccaaabbbaaaaacacabcababbbaaaccbbcabcbbbacccbcaaccbbcaacacccbbbacccccacbcccabccbbacbbcaacaccbbcabbacbaacbcaccaababccaccccaacbbbacbbaaaaacbbaaabccbbbbaacbaaaccbbaabbacbabbacbabababbaccbacbabccabaccaaaabcaaacccaaabcbbcbbbbcacaacacbbbabaacbbcbabbbbccbabbccabbacbacbcabccbccacbbbbbcccccbabccaacbbbabccccaaaaababcbccbbabaabacccaacacacbbccbcacaaaacaacbccaabccccbbaaabacabcbcabbacbaacacaaabcbcabbcccccacbbbacbbccacccbaccbcbcacaacaabcccbaabbaacccaaabacbbbacabbbcaabbcabbacbaccaabcaccccccbccbcaccaabccccbabcababaaabcbabcaaaaaabcbcabaccabababbccbbacabcbaaacbbabbabbabaccaaacabcaccaabacacaaabcbccccaabccacabbbbabccbcbacbacaaabaabcbbccaacabaaaacbabcbacbaababccbabaabbaabbaababaabaaaacaaccabaccacbbbbcbbbaaccbbccbccbbaccbcbcaaacaccacccbacbabacbbaabbbbbaabcacacabcbcbaacababacbcaccabbcccbbaaaabaaccabacaaabaabbcccbbacabbacbbbbcbabbbaaccbccbccaabbcbabcbaccbccbbbcbacccaaaaacbbbacabaacaabbcbbbcaabacabcbacbcbcccaaaabccaabbabcbbccbabbaccccbbbabbbaccbcbccbacbbcababbbcaccbbbbcbbcbbbcbaabaacaaaaccbbbcaacbcbcbabbbcbbababbcbacacccbcbcabacccabababbccabaaaacbbacacabbacabbacaabbbacabaacbaaaccacbcaacbbbacabccacacaacbbbcaacaacbbbcabaaacccbcbbbabbabaabbbbcbcbccaabacbbcccccaaaaaaaaaacbbacbacbbcabbbbbcaaabcacbbabbababbccccabababcbabaccbbbbaacbababababbbacaaccbcabcabaccbbbababcacccbabbcbbcacbbcaacbcccbcccbcaaaaccbaacbababaacacbaaccbbcbbacabccaaacccbbcbbcaacacaababaaaccabbabbcacbbccbcacababbaacbbccaabccbabbbacbccccccbacccababcbccbabbcbbccbcacbababbabbaccccbabbbbabccabbccbaaccaaacbbcacccbbabaaccbcccbacbaaaccccabcacbbccbbbcbcbacaccbbacabbababacbabccbbcacbaacaabbabbbbaacbccbaaababacbaaabccbabbcababbccbabcccbcbcccacaaaaccaacbcbabaccbbcbaabcaaaabcccabbacaaabbacababbbcabbcabacaaabbaccaaacacbbcacaacccaacabaabbbaabbcacaccbbbbbcbbaccbcacabbcbcccabccacaaacbbbccbaccabbacbccbabbccabbaabcbcccbcccbbbabbbcbbcabbabaaccaaccbbbcabcaaaaacacacbabbcbaccbcaacacaaaabcbaccaaabaaacabaaccacabbabaaabbccacbbbacaaacaaabacbacaacbcccacbabcbcabccaaacbaccaabcaaccbbbcacbcaaacbabbcbccbcccababcaaacbccacacacabbbcacbbbabbabccbbbbbaccbaccaccabaaacacaabbcabbccbaabbbcbbbcacabbbcbcbbccbcabacccababaaaabbccacbbaccccbaacabcbababaaababbaaaaaabcaaacbcabaacbbbbccbaabbcbcbbaaabcbbbbaccbcccabcaacacbccacbbaaccbbbcbbbcbabbbbaacabaabcabbaacabcaaacbbabcacccbcabacacbaaccccbacaaccaaabcbacaccbccbcbaccacbaacccabaabbacaabaaabbacaacbcaababbcaaccabaaaaccbaabacbcaccabaacabbacbbcaabcbbcacbacbabaacaacacabbbaaabbcbbcacbcbcbbbaaabbbccaaccbacabbbbcbcccbaabcacaaccccbaccccaabccbaacbbbababaccbcabaacbbcabacbbaaccabcbbaaaabacbbabbbcbcbbccccabcaccbbbcbcacaacaacbbabcbbacbacbbaacccbcaacaacaabcacccbcbcabbaccbcacaaabaccabaaaabacbcbbbcabcabbcaaaccbacbcabcabccbbacccccccbbcbbbbbaacbcacaaabbbacabcaabcbcbcbccbbcabcbbcbccbababacacbbaaccbbaaacacaacbcacbaccccbaccbcaaaaccaaaabababcccabbacccabacabbcbbabccbaacaaccabccabcccccccbbcbbbbacccbaacccacacbacacbacaabcaabaaaaabbacbacbaabaabbacaccabcacccbcbbaccacbbaaccbcacbccababaccbbcbccaacaabcbaabcbbabbcaaaaacbcabbccacabcacabbcaabbbabaccbbbacbbbbacacacbbbccaaaacabbcbbcbabcbcbacaacccbbbbaaccacbcbabbacacacababcbbccbbccabcacccbaacbbacbcaacabacccbabbccabbcbbabbacaaaacacabbaabbbbacacaabacbbcaccabacaacaacbabaabaccabbcbbbabacabcabcaaaccbcaccbcbbbcababbbcabbcbbcbcbabbbcabccacccbcaababbccaccbbacbcacacacaaccaacbbcabbabaaaccbcaaacccbbabbbcccaccbccbccbccaabbaabcabcbacccbbbaacaaccbcbbbbbcccbcabacbccaaabcbcbcacbcbacccabcabbaaccabbcbbbaaabcbaccaabcbacaaababcbabaccababbaacbcccbcabbccacbcbcabccbccbbbbbabcbbbabcbbcaccaaacaccccbabbbbbbcaabbbbccbcbcabbbaacacbbbabccbbaabbbbcabcbccabbbbabaaaaacccaaabaaccbaaaaaabccacabbcbbabcaaccbacacbabaacacaccabacaccccccbcbcabbbcccbcbaabcbacabbbacbcabcbaabbacabcbbabcaacacabaacbcabaccbccbcbabcbccbbaacbcaaccabbabccabbbcbcabbbacacbbacbbcccbcccabcaccacbacbbbabcacabcbcabbabbccbbcbbccabccacbabbbcbcabacccaabaccbbcabbcbbcacbbbabcbbbbcaaaabcbbabcbcaaaaabaaabcbcbbbccccbcbabaababaacccbccaccacbcbbccbccacbbbcabbbcaaccccbacabaacbbbbcaaaccbccaacaccaacabbaaacbcbcbbaccbacccbaaabaccbaaaaabacbcbacbcccbbaabcaabaababbacacaaaaccaababbcabbccaabbcaabbcccacacbacbacaacbbaaabbbaacabaaccaababcccccaaaacbabcbcaccbcabcabbabaccbbbcbcaaabbcabbaccccbacabcaaaabcbcbaacbcaabbabbaacaacabccabcbcababaabccbaabccacccbbabacaccccbaaaccabbbcbcbaccbccbbacccbccabbaaacccaaabcacbabaccccaaacbaaacbcaaaacabcbccabbbacaabcbabcbabccbbaaaaccbcccbacbcbbacbcbbcbbaaccabcabbcbacaacacbbabbbbccbccabacbbbccabbcabbbcaccbcacacbbabacbcacababbbbbacbccacabcabcccacaccabacbabcbcccbbacaacbaccabbccaccaabbbbcacbccabccbbabbabcccbacbcbaacbabbcabbcbcbabccbaacaccaabcaacccabacacaaababcbbbccaccbbcbacbaabaccacacbaabbbcbcabbabbcabacccabaacacccccbacbccbaabbbaacacbcbabbbbacbcbbbaaaaabacbcbabbaacbbacbaabaabbbbacaaaacbcaacacababcbabccabbcaaabbbacccaabacccbcbcaccbbcccababaabbbaccacacbabbcbbbccabbbbbbcbbaccababcbcbbacaabaccbccaababbcaccaacbcbbccbbaaacbacbcaacacbbcbabcacbbcacbbcaccbabcccaabbccbabbbbacabbbcbcbaabacbabbbbbbaabcabcbbccbbaaaccaabacbbacbbcaabababcccaaccabbabcaacbbbcccbacacbacaaacaaacacababaacaacbaaacbbaabcbbbbbabaaccbaabbbccbaabbbccaccaaaaaacaaaccaacabccabacaaaabccacabbbabcaabccbaabcaacbbaacbcbabaacabababccacbbacbcbbbabbaccabcccaacccabcbcacacbbcbcaababbabcacbaabbcbbccaababcacabcabccbcbcaaccbccacbacacaabaaabcaaccccabcabacabaaaaacabcaabbcacbaccbababcacbcbbcccbbcbbbabaabcabcbbbaabcccacbbaacbbbabaaabcaababbbaccaaacbbbacbbaabccabbaaaaaacbbcbcbbccccbbbccbcccaabcbabaabbcbccaaaccbcccbcbbccaccacaacacabaaaabccacbcbacbcbccaaabccababaacbababbcbccbbbbbbbacbacbbbbacbbcacabbccbbcbccbcacbcbcaccacbacaabaaaaacbbcbbaaccabcaaccbbacccbbcbcaabbbcccccbacbcacbabccbacaababbaacaccbabbaabbbbacaccbcbbcccaccabcaaaaaaabacacbccbbaabcbcccccaaccbabcacacbaacbacaaaacaaaaababcabbabccacaaabcccabcbbbacbaccbbcbbbbbcaabbcaabbbcbbaababbabaabbbbccccacbcbcacbcbcacbaabbccccaaaccbbbacaacaacaacaacabcbaccbbaabacaacccbbaabaacbcabcaacbabbcbbcaacacbacaacacbbcbbbbbbaacaccaaaaccaabccccabaccaaccccaabbcbbaacbcccaaccacacbabbcaacaccbbaaacbbcbbcbcbccabccccbcbabbbbcbaabaabccaacbcabbcbcbabbaaaabaaabbccbcbbabbbaccabbbaacacacbcbabcabbbcccbcccabbabbaaabacbaacbbbccacacbacaccbbacbbcabbbcabcbacbbacbabcbcaaaccbaaccbaabacbbbaacaccacacbcbbbbabbcbcbbcbbabaabbbacbabcbcacbbbcbbcaccccacbaabacbabacbbbccbbabbaaabbcabcaabcbcaccabcbcbcabcababccbaaabccbcbacacacaacacccccaabccabcbcbbbbcbababccbbabbacbaabaabcaaacccbcbaaabcababcabbbbaccbcaabcabcaabcabacccccabaacacabbbacbcabcaccaabccbcaaacaabaacbbcabbcbacabbcbcbbbcbcabccacbbbcccabbaaccbccccbccaabcbcccacbaacaacabbabbcbcacbbbcccabaacbcaaccaccabbbaaccacaacacbaabaccacbbbbbccaccccbaabbbcccaaccbcacabacaccccacbcccaaaccbcccabcccbbcbcacaabbbcbaabcbccccacccaccaaaaaabaccbaababbbbababcbbcccaaccaccccccaacccbccaaabccccbaacbcabcbcbacccaabacbbabbaccabbcabaaabcbacabcbbbccaaaaaccaaaacbabbbbabbacbaaccbaacacbbbcbacccbcbcbbbacaccaacbbbacbbaaaabaabbcbaccaabaaacbabbbcabcaacbcacbcbaaccccacbbaaccacaccbbbcbcbcbaaaaacccaacbacaacbacaaabacbacbcbcbbaacabbaccaaaacacbbccbbbacabbaaacbbccbbabbaaaabcbcabaaacbbcbaaaccaccacaacbacaacbbaaccbaabaaccabccccbbcaabcbacaaaaacbcbbbaaaccbaacbababcaabacbababaabbcbbcccabaababaabaacacaababbbcbaabaacccaccabbcacacbabaaaabcbcaaaaabcbbbaccaaaacccbabcbbabbcacccabccbcaccaaacbcccacabcbbcaaabbcbaccaccbbccbabacbcccbacaababcbcbcabbabcbcbacacbbacccbcaccaccabacaacccaccbbccabaaababacbbbaccccbbcaabcbbbbaaccccaaabccbccaacbccbabaaaacabbcaaaabbbcbababccabccbbbbbaccababcbacccccacacbabcbababcbcaacacbcaabbbaaccbbcabacbbaaaaaaabcaacbaaabbaabbabaaaacbbbbbcccaaccacccbaacbabbaabbbacbbcccbbcaaacbccbccbacbbabbaccbbccacbaccbbabcacbcaabbbccababcbcccbbaababacbbbaaacaacabcaaabbaabaaabcbcaabacacbbbbcbccccbababbaacbaaacbcbbbacbabbbbacbccbcbbcbabbaabcabacbbbccababcabcaaaccabbabbbaacccaccaabaaccacbcccacaacbabaccccacbcbcbbcaacbbbabcccacccccbccbbccbbaaabacbbababbbcabbccbacabccbabcabbcacabaabbabcbacabccacbbaccabbabcabacbccbcaccaacacbbbcabcccccbccbabbabbacccbbabcccabbccaaaabbbaaccaccccaacaacaaabacaccabbcbcbaacaacbabacbcacababbccbacbaaaacbaabbcabcbaababcbbbccbcbcacbcaccacabcbccbcaabbcabacccacacaabbbaacbbbcbaabbcaacbaaaabccabccaabaabcbbacacbcabaabacbababaabcacccbbabbcabcbcbccbabcacbbccbacaaaacbcabacacccaabcbacccabcbbbbcbacccbccabbbcabaabaaaaacbbaaacaaabaacbaabacbacccababacbcccaabcbaaacbbbacbaabbbcacaaabbcbbabbaaccaacbcccaaabcbbabccabcbaaaabbacbabcbcbbabaaababbbcbcaaabbaaabbabbbcccbbcbbbcacabaacccaccaacccaccaacccccaacabccacbabcababbacccccbbccbbbaabcacacacbbabccccaaacabacbbababacacbaacaccabaaccabbcccabbbbabaaababccbbabcbacaccacacbbcbacabbbcccacabbaacbcaabaccbccaabcabccbbbccabcabaaabccabcacbaaaccbccabacabcaaacbccbaccbabcbbbbbbbbabacabaacaabaaccbaaacaccbcabbacccbaaabccacbccacabbbbaaaabaccabcbbacbcaaabbbbccacbccabaabbaccbbbbbbcabccbcbacbcbaacbcaaabbcbabaaccabbcabcccabccacbbcbbcccabbbbacccaabcbaccaacacbbaccabbbcbabcbaccabaaabcbcacabbbabcaaaaccbaabbbbbbbaaacaabaacbacccbbacaaccacbabaccbbacbcbcbccabbaacccaaacbbbbbbccacbbabcccbacaaccbcccccccabbbbabcaaaabbccbbbacaababccbbabcbcaaaccabaaabbbacccacbbbcbbccbbacabbaabccbbcbcbbabcaccbabcbbbababbbbcbbaaaaccbbbabacaabbcccaccccbbaaccaabcbbcababbbbaaabcbbcacbaacccbcbcbabacaacbbcacccabcabbcaabcbbbacaabbbacacbabbbbababccbcbabcbaaababacbbbaccabcacbaacaccbcaaaaccbbcbbcaabbbabccabacbaacabaccabcbaacbbbaaccccabacbcaacaababbbacbaaabbababbbaacacacaacaaaccaabbcabaabcabccaccaccbcaabccabcaabbbcbacacbbcbaccbabcabaaaaacbabcbcbaabacabbcbcaacbabaccbbabbccccbaababbbabbcccabbccbbaaacbbccaccaaabccccaaccbbabbbabacbbcbbabbbcbccacaaccccbbabbbabcaccbcaacacccaccbabaabbababbaabcbcaabaccbcaaacaaccabbbbbabcbbacbabbccbaaccabbaccababcabbcbcbaaacacbbccbbcacbcababcbbacbccbbacaabccabaaaccbcccbcbacbbbcacbacbaabacccbbaaabbccbcbababacacacccaacccabacabcabbcbcbbbcacccaabaabbbacacacaabbaacbbbaaabacbbbabcacbbcacaacbbaaccccabbbbacbbabbcbbbbabbabbbcbcccabacabbaccbaabbabbcbbcabcbababacabacabbabcbbabbabacbbaacbaabaaaacacaccbbcbccbbcbcacbbbbacaccacbbbcaabacbcaabcaabbccbccaabbcaccacbccacbccbbccbacacbbbacaccabcacacbbaacbcabaabccaabacaccccbabcaaabacccccaacbabcaabbcbbcbabcbacbcccbaaaabcbacbabccbaaaabaaabcccbbabbabbaaccaabbaaccbcbccbaaabbbabccbaabbcbbaabaacbabcabcaaabbaaabcbabacaabbbaccacccabcbccabcbaabccababccccbaaccaabbaabbaacbbacaacabaacbabbaabaabbbacaccbbabbbaacaccacacbacaccbbccbaacbbabccacbacbcbcabacacbaabccbabccbabcbcabcbababcbbabababaabaabbccccaabaaccccaccbcabbcababccccacbbbcaaccbacccbaacbbbbcccbbcaacbabbbbccccbcccaabbbbbbcbcbbabbcbaccccccaabccbbabcbaaccbacabbaaacbcbaabcbbaacabacbbbcbaaabbbbbbbcccacbcaababacabbcbbabcbccaacccaaccbcabbcbabaabaabbabbaaacbbaaaaccbacccbacccbabcbcbccbcbccbbccbcacbaacccbcacbcbbabaaacaacabbbbbbabbbacacaaacbbcbacaccccbaabccacabbccccbccbccabcabcbbaabccacbbabaabbbbbabbcbaabbbacaaaccaaccaabcacaaaabbccabacccababccabaacbabababbacabcabccaabaaacacabccbbccacabbcaccccacbcbabccaccccabccabbbaccbbbbcbccababcbbbabccbcaaacaaaabccabbcacbbbabcacacccbcaabcbabaabbaaacaaabbbcccaacababcbabcacbcacccabbcaabbcbcbabbaacacbbbcbbaabaabaaccbbcbcbbccaabbbcccccccbcbcabccbabccbbacaaaaaaababacaabbacababcbcacacbbaaccccaccbaacbbcacbcacaacaccbbcaaaaabcbbcacccabcbbcccacacbbcbcbbbbabacccbaacacbabaabbcbcaccbccaabacbacbbbababbbaaaaacacbbcbaabbbbabcbcbaaacccbcacabcababbbbaacacbacaabaaaacccbababbaababbbacbcbbbabccacbbcbabaccbacbbabbccbaccaacccacbaababbaacabccbaacaababbbbbcbcbaacacacababcccbbcbbbabccacccbaaacbbbaaaccabcabaabbbbabaccbbcbaabccbcaccbacbbbabacbaccaaaacbaacbabaabccaaabcacbbabaaababbbabbccccbccbabbccbcbbaaaaacccaaccbabcbaaacccabcbbbabcbccccbcbcaccbbbaababbbbbbcaccbbacabbaaccaababcaaacbcacabacaccbaaaacccbbcabcbbcaacaabbbbacbbbcaacbbbaaabcbbacbabcacccacabbbcacccaaaaababcabbbbbbbabbabccacbbccbcaccccbcbabaabaabaacccaccbccbcaccabccccacbccbccaccababbbaabacababbccacabcbcbaabbaacaabcbabcacaccbaaccaaabbbbcabaacacacabbabaaabaacacaccabbcabaacaaaaccbcbbaccccbababccaaaaaaaacbacccacaacaaabaaaaacacaaacacbcbbcaacbbbcaccccabcbcaccaccabbaabbaacbaaacbbccacabcbccabccbcbccbacbbccacacacacccaccaabcaabcaaacabcbcacaaabababbacacaabcbaaacacbbbbccabaabcabcbabcbacbbbabacbaccabcabbacbbabacaaccbaaacacbaaaacabccccccbaabbbcbbbbcabcbccbbaccbacaacabbbaaacbaacacabcbcbabaacccbcbbabcbcbbcbbcaabaacbcaacaccccaacbaaccbbcbbabbbbbbbaacbaacbabbcbabaacabbcbaaaaaacbabccbaaccaacababaaccaaacaaacaaccbcbaaaabcacabccbacaabacbbbaccaccccabaccabbccbbbaabbcbcbbaccabaacaccbabccccbbcacbbaabbbaacaaaacccabbccbbbaaabcabcacccbbacbbbaaabacbbbcbacbbbacabcabbbbacabbcacabcccbcaacaabaacabcababbaaabbccbcbabaacbcaacbbbcbcbacabbcbcaaccbbcbcaccabacbacbbbabcaaabbbaabcccaccccaabbcacaaaacacbcababaacbcccaabccacaaaabaacacaacbcacbbabcbaaacbabccbbcbbccaacbcbabacbbcacbcbccbaaacccccbabccbacbbcbbbcbaacbcccabbacccabababcacacbccbbcbaccabcbccbbccacbabbbaaacccbabbbacbbbbcbaccbabcccacbacabaabcccbbabccaabcacbaaabbcbbbcabcbaaccbbbaaaabccacaaabcbababbabcbbacccacaabaaabbacacaaaccbbacabccbcabacaababbccacacacccaccacabbcbcabbcabaababcacbbabcbacccababbbcababacbcabcbbaabcccacbabaaaabcacacbccaaabcbccaaacbcaabcabbaccbacabcaabcaccccccaacccaaacccccbaccbccacacacbcaaccbbaaababcabccaaacbabcbcbcaabcababbabcccacacabaabbbcacbbaabcccaabbaaabaabbbacccbcaaaccbbcbccaaaaaccbacbbbcaaabacacaabbcbcacabbbcacaababbcbcbcbbabbcbccacbacccbcbaabccccbcbccaaaaacbcccaaccacabcaababacacbbccbccbbcccaabcaaabcbbccaabcbbbbabbcccbbbcaaacbaacabaaabacbacbbcaacbbccacccabaabbabcaababbabcaaacbabcabbcbaababaccbacaacbcabcccbabaacabccccbccbcaccabbaabbbaaacbbabbbccbbaaabaaaabbcbcaacbcbbaacaacbacaccbbaacaacabccbbbbacbbcbabcabcbaabcacabcaababbcabcaacacbbaccabcbacacbcbaacababbabccababcbaabccaacbccabccacaaacabaaacaacbcabababcbaccaacaccccaababbbbbbacabcccaabbacbabccababacbaaabbbcbacccbbbccaacaaaacacacbacbcabacbbaccaabbacbcaccccaababcbbcbcbbacabbabbbcccbacaacbccbccbabaacaacccbbbccbccbbbccbcabccaabcbcccabcbabcbbaaaabbabcabccabcbacbccacbaabbbbbbbaacaccaaaabaabcaabaabccbacacaaabbcaabcbcabccbababbacaabcccaccaacbbacccacbccbbbacababcaabcbabbbacbcbacabaacbbacaabcaacbabcccccabccacccbacacabbaaabababaabbbccabcbcabcbaabbbccccaaccbcbacababbaaacbbbcccaaabaccbcacaccbcabbaaacbacccbcabaaaabcbbabccabcccbabbabbcbcbcbcacccbccaababbcacbccbabaabaaaaaabbcbaacacccccacccaacaccccbabbccbacbcbbcacabcaabcaacbabbcbbabacbaabcacabacbbcaaacaccbbcbcbaabacaaccaacccaaccaacaacaaabbbcbcabbbcababcacbbbbabbaccccacccabccbcccaacbcbaccaacaabbbabaacacabaccbcacaacbbaaaaaccabcccccaccccabcacccabaaacacbaabbbabcbababbcaaccbbacabbcccccccabcbbabbccbbaccbaababbbbacacccbbcabbccbcbcacbaaabbcbaacaaaacaacaccbbbccaccabcbabcbaaabacacaacccbcccacbbbcbccbbabbababbcbacbcbaacbccbbaaacaaacaaccbabccbbbcbacacaabbbbabaccacaaabcaccabcccabcacbbccccbbababbaaaacbbababcabbacabbbacbccacabacbcbcccaccacbbbbccbcacbbbabbccaaaacabbccbbcbabbcbaaacabbacbbacabbccbabcbababbabcacacbabcccbcbacabcbabccbaccaacbaabbbbcacbcacaacccbbacacacccaabaacaabcaacabacabcacaabcabbbabbbcbccacbbacbbcccabacccbbccbaabcaccbacccbbabbcabaacbaccaaccacbccaabbbbbccaabacbcabcaababcacabbcacabaccabbcacccbcaccaacbcaabbaccccaacacacabccbcaacccaaaaacbacccababcbacbbbaaabccccccabbccacbabbaacbaccccbbccabbabcaaacaacaabbabbcbbabbabbbacbabbbbcaaaccbabaabbaacacacaacbcacbccccbacbcabbabbacacaacbbcbbbccacbbccacbcbcabcaabbbcbcbaccacbacbcbbccaaaabbbacacbbbccccbcccbabbcbcccabcbcbcaabaccbaaaccbabaccaaababbabaccacacabbccabaabbcaabcbcccccbbacbabccacaccccabcccbccacbbaccbbbbcabcaccccbcabaaccbbaccbacaacacbbaabbacbbbcabcaacccbaabcbbcaabaaabcbacacbbbabbaaccbabbacbaccbbcccaaacbabbcbacababcccbccccbbcabacabbbbaabccbccaaaccbacbcbaccabcacbbbaacccbcbbcaaabcbcacbbbcabcabaccbbbaaaccaabccbabcbaacbbcabcaacabcbaacbbabbcabbbbcabcaaabaabcaabcbaccbbbccbaabacbbacccbbbbbcaaaccccbabbaccbcbbbbbaabccbbacbcabbcababacaacbabbbbabcbcabaabacaacbcabbacbbbaababababbcaabbbaacccabbcbbbbbcaccbaacbcacccabcbccbbaabaaccccccaaccbbbbbbbaaaabbbccbccccbababcaccacccbbabbabbacbaaccabcccbbbbbbaaabbbcaaabcccabacbcbbcabbaccbcaacbcbcacbaccbcaaacbaabbbbbabaacabaacbbbaabacccbabcbcbaabcbbabbccccbcccbcaccaacbcccababbacabaacabcbbbaaaccacbbaabbcaacaccabababcabcbbbccaabacaccacbbcababccbbcbbccabbaabacacaccabcaaccacabccacbabbcacaacbbbbbaabbaaabcbaaccbbbabbbbaaaabababcbaabbacabacbccaccbcccacaaacbabacbaccbabbabbbacccaccaabbcbbaabcacbccabbaaaabccacbccabccbbcbbacabcbbcbccaccaccacbcbbbcbcccaaccbcaaacaabccabacbbcaacbabacccbbccbcccbabaccabaabbcbcabbcbcbaccbabcbbacaccabcbccbcbcbbbabaccbbccbcccbcacbcacbcccabcabcbacacbcabcbacaccbcacbbcaccabababccbbcacababbacabbbcacaccabbbbacbccbabbaabaacabaabaaacabbabaacccbaabaccaacbbccbcabaabcbcacbabcabacbaaaabbacccabbacacaaaabaaaccacbbabcabbacaababaaacbbababcbcbcccaabccbbbcabbccacbbccbacacaaaabbccbbbcbbaaccbbbaccbccabbacaacacbbbababcbbaabbbcbbabbbcbabacaaababbcbabcbccaabacccacacacaabcabcbacbbcbabbbcbcbccbcbcabaacbcaabcacbacbacabacbaababcbcccbaccaacabcabcaaaaccabcbabccacaacbbabcaacbaaacbccaacaaccbabacbbaccaabccbabbcbabbbaacaaaccbcbbccccacbabbacbcaaabbcaacabacabacbbbcbcbabcccababaacbbccbcacaaaacabcbcaabcaaccbcccbbacaaabacacacbabcbabaccacbbcaabccbcccbabbaaabcbcababbcaaaabbbcabababccbacbaabcabccccbbcccbaababacbbcbabcaccccaaacaccaaacababaaaaaabccaccaabcababbcabbaaacccacaabbbcaaaabbcabacbabcacbacbaaccaaababccacaaabbccaabcbaacacbbccaabacbacbacaccbbbcccabacacabbabcccbacaabaccbacbaaacccbccbbccccccbacacbaaacacabbcbbbbabbbbcabaabccacccbaacccbccbacaabacabaacaaabbbcccccaacbaabaabaacbcbbabcbcabbcbbcbbbacabacacbabccacbbacbbbaccaaccccababbaababbbcbbbacbbaaababaabacccacccbbacacbccabcbbcccbbabaccabcaccbbacaacbcbaccbababbbaabcacaaccacbaaacabaaabcbcacacbacbccccbaaacacccabababcbbbccccbbabaacabaccccbabacababccbccaacbcbaaaccaaccbcccabbbcbababacbaacaabbbcabccbabbaaaabaaaccabcbcabbbaacccbabaaabccbccccacabccbaabbacbccbbbcaabbacccccccbbbacbabacacbbacccabcacccbcbacacabacccccbccbaaaaabaacbbabaabcbbcacbacbbabcabcaaaccbbbbbbaccbcabbcaababbaccaaccaaaabbbcaacaccbbbccbcacccabcacccabbaacbcaacaccbbacbcaabbcbcabcbbabcbbcbabbabbcbbaababbbbacabbbcbbbbaacccbbccbcbbccabbacbbcacaabcacacabcbbbcbaccabaaabcccccaccaaaabbbcbbccaabbbccaaaabbcbacbcbcbaaaaccbbcabcbcababacabaaaaabbabbccaaaaaabaaabcabcaaabccabccbbaacaaabbaaacabcabcbbcccccbaabccccccabaacbccacbaaaaccabababbccaabaabbacaacccacbbaaaccaabcaababbbcaabcaccbccbccacabcbabcbabaacccaabbbbcaccacabbaabbbbbabacbcaaaacaabcbcbbabbccaaabbbbbcbbcbaaaaaaacbacbbacbaacbbbbbcaabaccbcbaaccababccaabacaccbacabaaccacbcababbaabaabcccbbacbacbbbacacbcaabacbabbacbcbcababcabccbabcccaaaacbbabbccbbaaabaaaaabaabacaccbaaabcabcaaabcabcbcbcacbcbbccaaabbcaaabaaabbabbbcbcabacccacbcacccbbcbbbaacbccbaccbbacaabbbcabbbabacccccaaaabaabbcbcabacbacbbacabaacccbcbaabbabbbbacbacbacccacbaacbaabbbbbcbcbacacabbbcbbbbccbabcabacabccbbcaabbbbcacbabcabbaaaacaacbcbabbcbccabbbbbbbcccacaabbacaccccaacccbcccaccccccbabcacacaabcbabbaaabbcccccababbbbcacbacabcbcacaaabbacabbbacbcbbbaccbbccbcabbaccbaacccacccbacbccbbbbacccaacabccabbabccbacbabbcbabcccbbcaccacaabacbabaaaaccaaaccccabaaabbccabaaabbacbcbbbaacaccbcbbaaacaaaccccbbcbcbbcbbacbaccbbabaabbacacbabaaabacbccccbcbcbababccbcabbaaacaaabacacbccbcacaaaabaccbcbbabcbabbccbbbacbbabcbabcabaabccbbabbbcbcbcacababbcaacbbabbcccbaaabcbbcbcbcacbcbcaabcabcccbabbccbccbcbcacabbccaacabaabcacbbabbaaccacbcabcbabbcbbbacbacaacbabbbbcacbbcabcbaaacbcabaaababcbbcabacbcacbbacbbbabbcaccbccbaaabbabacabbcabcbaacbbbccaabccccabccacacccacbbbacbbabbccacaaacbbcababccbbbcaaabacbaccaaabbcbbccaaaaaacccabaaaaaacbcabbcaaaccabcbbbaacacaccacaabcacacbabbcbcaacaaccbbcbaabacbabbbcacabbbabcaabcbbccaacacbbbbcbcaccaabcabbcccaaaabcbbaacccaacbabbaccbcacbacccbaabcacacabbbbbbcacabcbccbbaaacccabacacaabcbacabbcaabcbaccbcccaccaaaaacaababbbaacabaccbabbbaaaccccaaacaccacaaabcbbacccbcbbaaaaacbbccaaaccacabbccabacbbabcbcbccaacacbcbacacabcbcbbbaabaabaccaababaccbbccbcbcaacccaacccbccbabccbaabacaccacbbbcabbcacbbcaabbababbbbacbaacbcbacaccccbacbbcabccbbbcbcaabccbabcbaacbcbbaccbaabbbbcabcccabcbaabbccaabbacabacbbaabbaacbbbacbbbcbbcbcababcabcaacabcbabcabaabbaacbaaaabaacabcbabbaccccbabcaaacbcacbababcbaacbaabcbaccaabaabaacbbcabccbccbbccabbbabbbcbccaaacbcccabaaaaaabbaabcbccbbccbbccbccbbcacacbbcabcaaabbaacababbcbcaaccbabcccbaacbaabcbccababcbabccccbbcacaacccabacbabaabacaccaabacaaacbccbcbcaaacabacacccacbcababccabccbbccbacbbcbcaacacacaacbbaabbbcbacabaacbabcbacbbcacaaacccbbaacababcabaccbaaacbabbcbcbacabbbabbaacabcbacccaaaabbcabaacbabbcabaccaacbbbbbbacacaaccabcbbbabaabbcaaaacaabbcccbababbbacbaabbcabbcacbccbaabaaabcbbacbbbbcbbbbbabcbaaabbacacbcbcaabcaababcbcbbaacaccacbcbacbbccaabbcbabaaabcbbaacabbacabaabbccccbcaacbccacbacacabbaaccbcccacccbccabbaaabcaabaaabbcbccbbaabcccccaacccbacccabcabbabcbccaccbbabababcabccabaccbbabaacbccbbaccbaccabcbbbaccababaabaacacabacacaabcbcbbbaabbaccbbbabcbcabbabcccaccbbbbacabcccacccabccbbaabcaaccbacbcbaaacbccbabacccaaabbacaaccbccbbcaccbcccbcbbccacbcabaccbcbcbbaacaaaaaabbccabbaccccacbcbaabacaaccaaaccbccaaababbbaccbbaaababcaccaabacabcabcacabcabbbcaabcbbbcabcaabcabbcacbbabaacbaaabccaaaccabcbcabbcbccbbbabacaacbaaabccccccababbcccbccbbccacccabbaaccbccbaababababbaabcabaababbcbbbacababaccaaacccaabaaccaaccccabaaabcbabaabaaacccaacabbcbaccaccbbbccbcbcaabbababaaacabccaaabbaaccaacbabaccccbbbbababbcbbaccaaabaacaaaabbbccaccacbbcbcccabaacbcacaabccaacabaaacbbabcbabbbbbbbaaacacbcaccccbcacaaababbccaacbaacaccaccbbcaabacabccccbcbbccabaabbbcbcccaaacaacbccbbccbabacbcaabbabbabaacccbababacaabaacabcabbbabbacbacaaaacbbcccaacabbbbcaaccbaaccaacacabcabcbcabbbbcbbbcbaabbcbcccbbaababbbbabbabacbbbcacbccabbaaabbcbaacaaccbbaacbccbbaacccccbcbbbaaabbbcbcbbcccccacbabcacaababbcabcaaabcabcaccbbcccbbcccabcbbabaabbbbcbbacaacbbcbbacbbccacbbabbaabbabaccacbcaccbaccacabbbcabbbaccccaabcaaabaaccbcbbbcacbabcaaccbbaabaaabacbbcaabbabbabbcabbacbbbcbcbaaaabaaccacaacacbcbcaaaabccabababaaabacabaabbcccbcaccacbcabccccaabbababaccbccbbcbbccbaabaccbbccacacacacacaacaabcccccabaacabaababaabbbbbacccaccaabaaacaaaaabcccbaabaabcccacbbbacccbbbbbbabbbabbabcacabbaacccaccbaccaccaacbabcbaacaabbcbbbcacbacbcababbbabbbbabcacbbabcaabbcacbbcbbcccbcababbcbbabccaabbacaccbccacabbacbaacbcccaaabaabcbacabbaacbcaacccbbbababccbcababcbbaccacccaaaabbbaabccababbcbcababbaccaacbcaacbaccbccacabaaaabacaabcbcacbcaacaaabaabbbaaccbbccbbaacbbccabacbcbacbcababaabaccbabbbcbaabaabbbbaacbcaccbcbbcbbabaaacbbaabccbcabbacbaababcbccababababcbcbbcccabcbacabcabaccbcbbbcbccacaaabccaccbbaaaccccabababcbbbbbcbcbbbccbcabbbbcaabbcabcbbbaaababaabbabacbaccacbbcbcccbcacaabbbabcccbbcbaacbacccbbaacaabaaccbcabcaacccbbaaaaccbcabcabbbbbabccaccbaaacbbabcccbabbccbcbbcccbcaababacccbabcbbbcaabcaacaababbaaaabaacbacacbcccabbcaabcabbabbcacabbbcbbcaaacbacbbcbcbacaabbcaabbbcaaccabbbabaacacabaaaacaabcbbcbacaacbaaacbccbcbcbbbcabbbbabaabcacccaacaaaaaacacbbcaaacaacbabaaabbccbabbabbbbcccbaaccabaacabbcbccbccccbccbbaccccabaabccaabcabbcaacaccbcacccaaabaacccccbbacbbcbabacbcbcbbaabbcbaaaacaacaaaabaaabacabbaccccbcabcccaabccbbcbabcabcbcbbccbcbbbacbbbbbabbcaaccbbabcaacbabbcaabbccabbbcbaaccacccaaacccbcabccbabbaacccbcbccacaaabccacbacccccbcacbcabababbcabcabbbbcbacaccccbaccbacccaabbabbaaabcacacbabcbcccbcccacacbbcbcacbbabacabbbbbccbabcbaabbcababcaaabaccaacbbcbcbbbbaacaacaacccaccaaabbcacabaacaacabcabbacccbbbbcbcabcaacabbacbccbcbaabcbaababcbbaabbcbabcaacbccacabccbaccbaacbcbcbbaacbabaccaaabaccbaacbabbbbacaccaabbccaabcbcbabcabccccbcbbcaaaacbcbccbacacacccacbcacbabbcaacacbccbbccbaabcccbbaabacccbaabbbcbbcbbbbbcabcccbaacbccbbbccabccbbacaccacbabcbcacbbaacacaaabcabbbcabaaccaabcbaabacaacbbbacbbacacccbccbaaabaaaccbaaaaaccccabacabaacbaacbccacacccbbcccababaccbacaabcbcbcbbcbbacbcbcbcccbccacbbcabbcbbbcaaacbcbacbcbcbcacaaacabbbcccbbaccccccaabccbcbcbbbaabcaabbcccacccaabcbacccbbcccaabcbcccccccccbccabbbbbbaccbcaaccbcaabacbaccbabbabcbaabbbcacabccbbcbaaaccaaaaabbabcbbcbbcccabbabbbbccbcabaabbaaaaccccaabbbacacbaacbbaacbbcccbbababccbaaaabbbabbaaabccbcaacbaaccabbbcacbcbccbcaccbbbccbcacccccbabbbaaaaaaacaaabbbbaacacbaaaabbbbacbbbbaabcbaabcbbabaccabcaacbacbbabaaabbacbcbccacbabcacaccbbbbcccabacccacbaccacbbaaaacbacbabacbcbaccccbabcccbacacaabababcbcbcabccabcabaccaaabaabcbbcaaaccacbacacaaaaacabaaaabcbbbbbacccaaabbccabacbbabbbbbabaaacaccccbcacaacaabccacccbbcccacbbccaacacabaacbcbbbbcaaabccabacbaccaccaacabcccacabcbaabacbaaccacbaabaaaababaacbaccabcbcacabcaabbbaabaaabbbabbbbaacabaacbcacaaabccabccbbbacbcbcbbbabacbccaaabcacccacaaacabaabaabaacccaabcaaaccccaccbacabaabcccccabbcacaccaccabcbaabbaabbaacabbaacaccbcbabaaaabbcabababaacaccbaabcbbcbaaabbaababaabbbcacabaacbbaccaaabbaaabbbaaabaabccbabccbbbacabbcccbbbccabacbbacbcaaaacaaaacbabbabcacaabaaaacaabcbaabaccbbabcaaabcccaabaccacbcbbcbabbcbcccbabaaacbcbbbaccccaaababaccacbbaabaabbaabaccacccbbaaacbbcabcbabacacbabbcaabbbbbcbbbaccbbbcbcabaabaaacbacbaacabbaaacbaabacbbbcbabaabacacbacaabcaabbacacccaacbbababaacabcbcbccbbbbaccccbbcbbbaccaaabbcaacacabcabaabbacbacbbaaaaaccbcaacabaabbacacbbabaacabcaaccccaaaaaabbbaabaccbbcabcccbbccbaabaacbcbbbaccaabbbacbcabbaaccccacabbacbcbcbbabcaccbcaccaababaccacbcaacabaccbabbaabbcbabacccacacbcbaabcabbabbabbccbcbccbbbacaacccacaabbbabbbbbcbcacccbabbabbccabbbcbbcacaacaabcaccbaabcaabcbcbbbcccbbcbaccabbcaacacbabcababaccbbcacccbbcbcabacbbbbcbcbbaaccbaaccbacacaacccbaaccaababaacacbcbacabbbaaacababbabbbcbcbbcbababcaabcaaccbbbbccaaaabaacccabaabcbbccbbabcabbbaaacabababcbbcbcabaccccbcbacbbbacccbbcbbacbbabbbcacbaaccbacacbbabbaabbcabcabacbaccbbbbcbabbbbaabbbcaaccaabcbabccbbcbacccbabccacbacaacababbbbbabccaaabbcbaccaabbaabaccbccbcacbbbbbbabbacbcabaabbbaaaaabcbabaacaaaabacbbbbcbbbabacaabcccccbbbabbcbaaabbbccccaccbbcaaababcbbcbaccbccaaacaabbabacaacacbcbbbcbacbcacaaabccbaaabcbccbbcaacabaccbacacabacccabbcababcabccbaccbbbcacbbcbaacaaccacacbccbbccaabaaaababcaabcacccaccbbcaaaaccaccaaccbbcbccbbcccbbccbcbcbcbccbacbbbaaacaaaaaababcaaaccbbbbcbcbaaabaabccbabcabcccccaaacabccbbbaacaccbbabbaacbaccacacbbcbccaacbabcbbabaacbcbaabcabbbcacbacccabbbaabaabcaaabbcacaaacccbccaaacccaaacbcbaccbaccacbbbbbaacccccabcbbbabbcabbbbccacccbaccababcbcbcbccbcbacbbaabaaabacababbcbbcaacbcaabbcbbccbcbcbccbacbbcaabcbcaabbcbcbcacaaaccbcbcacabcababaacacacaabbcacacbcccbbabcccacccbaacaabcbbbacacbabaacccaacaccbabacbacbccaacabacbabcbaacbcaacbcbcbaaaacbaacabbcababccaaaaaabbabbacacccabbaabbbacacacbcbbbcccaabccacbbbcccbababacbbbcacababcbaccacabaaacababaabacccabbccaabaabbbbabccbabcbabacbababccccccbaccbbaacbababccbbbaaabcbcbbbccaabcbcbcabaabaacbabcbaaccabaccaabcbbaaaabbcababbcccabbbaababcaabbacacabccacbbccbbaaaacaabcacabaababcbbcaacbcaacacaacaaccaaccaaccbbcbccaccaccccccbacbbabbabbbbabcabbbcabcacbbbcacaacaacbacbaaaccccbabcbccacabbbcccabcaccbbcccbacbbbbbbacbabccbaaacbcbcabacaacccabbabcabbaaacbccacacaacbcbccbcccbbcacbabaccbaaccbcbbbbabcacbccabbacbbaaaabacbcaacaaabcaaaaccccbacacaabccbaaccbccacbbacbabbbaccbbccbaabccbbacabbaabaabcbacacaacabcaaacbcabacbcbcaccbcabcccacaababaaacacbabbaaccacabbabaabbccbbccbccbcbcccccbbbabccacbcbbbcbccccaaabcbaccbaabcbccaaccbcabbabccabaccabbaabcbabbccaabccababcaaaaaaacaccababcbbbaaccbcbcabbabcacaccbacbababbcbcaaabccccbbcbacaaaabcaaccbbbcabbbccbacaabccbcaccacaacbacbcabaacaaccabbbcaacccaccabcaccacbcccabcaacbcbabcabcccabbbbbccbaabbbbabcacabbcbccabaccbccaaccbcabcccbbcabbcbbccccaacabcccbcbbababbacbabbacccbcaaabbcacaacbacbbbbacbcccaaaccbbbacabcbacabcbccabbbbcabcaccaccabbcabaccbcbccaabaabaabaaaccccccccccacaccaacbccbcccbbaaabaacabcbbbccccccccaccabbcaccbcccbaacbbabccacbbcacacbcccabbbccbbbaabcbaabbbcbcbbcabccbaabcaaaabaaabcbccaacabbcabaabcccacaacbbccabcabaacaabccbcabacabacacaacccaccbbbccacbbbbcbcbbbcaacaababaaabaabaccbbabaababcbccaaacbaabaccbabbaaccbcabcbcbacaacbbbabaaaccbbaabbacccbbbcbabbbcabcbbacacabcabaccbacbccaccccbcbababbaaaaabbbcbcbbbbbbabaacbbbabaaacbccbbacabbccbbbcbcbcbccbbacacacccbabcaccbcaacccbacbbbbcacaacbcccbcbabbbbbbcaacbacacbbbbabcbbababbcaaacaaaccbbccbccaaaccaacbaaccccbcccacccacacbbbaacbbacaccccaacbbbcabccbabaaaacbbbbacaabbcccabccbcacbccbbaabcacabbcaabcaacbbbcbcabbaccabbbbbccbbbabcaccabcccccccaabcbcbacaaabcabaaabbbccbbcaacbcacaccacbcbaaaabcaccaccbcbcababbacbbbbbcbcccaccacaaccababaaabcacccbaaacbbcbacabccbaaccbcabbbacababccabacaaaccbccbaaaaacacabbccaaccaacaaaabbcbcccaaabcccbcabbccbbaaabcbacabacaacacaaccabacacbacbbcabaccacabaababcccaabcccabaaaaaabcbbaabcaacbbaacbabcaacbacbbccaacaaaababaaacaccabbbcbabaacababcbcaabbccccaaabaacbbcbaaaaacababcbcacbabaabcaaaaacaacaaccabcabbcccbabaacaaaabbbabbaaacabbacbcbccbbcaaabbccacbcaaccabacbaccacccaccaaccbbbaaaababbbacaacabcccccbbaccacbaccaacabaaacaabbbcbcccaaaaacccacbcbccababaabbaababcbacacccbbbcccabbcccacbbaacccbababccbbbcbbbbbcaccbbacbacbabcbaccccccbbacbbacbbbaaacababcaaabacaaaccccbaaccbbcbcabcbaabccbababababacbbcbbbaabababababbbbcccabcabbcbaabccbbcbbbababcabbbbcbcbcbacaacbcbbbcbcbabbacaacabcaccbbbaabbcaacbccababcaaaaaaccababbbbcccccbbaaababbccabccccaabbbbccbabbbaaaaccccccccbbcabababcbaaabcaaacbccacbabbbaaababcbcbbbcbccbbcbcccababccbbbbccccbbcbabaacaaccabbcbbbccabaaabaabbbcbcaabbaabcbcaabaaccabcbcbcbbababbbabacccabcaaabaabcccacbaabacacaacbabaccccaaacaaabaacbbbcaacacaabbbbaaacaaaaccbacbabaccbbacacabbcbbcacccbcaabcbbcaaacbbbabbabcaaaccacaabaabcbccaababaaaaccbbcabcabcabacaabbccccbccabaaaccaaababacbabbcbbcabcacaccabcbbcacccbabcbbcabcabcbabbbabbcbabbabcbbbcccacbbcbaabacabacbcabbbbcbcbabcabbcabacaccbcccaaabcbbcaabcbccbbcabaaabcbcbabccbabcccaababaaccabaaacacaabbcbaaacbabbaaabbabbccaacbaccbaaacccbbaccabbbacbbaaccabaaaaabbbbcccbbbaaaababbacbabbbcbccaabaccbcbbaacbacaaabcccbbccbbabccabbcacbccabbababcaaaccbacbaabbcabaccaacaacbbabababbbabbaaacaababbabaabccabbbaaccaabbbabbbcbbccbbababbbbcbaaaccabaccbabcaabbcabcbbbccabccbbaccaaaabcaccacbaaabaabaacccaabcccccbabcbcbcaaabccbcabbbbbacabbcbbcbaabbbbccbbcababccacbabcbaabcbacabaccccbaaacbccbabcccaccabaacaaaaaabababbbbccbbaacbcacabacccabbbabaabcabccbbabbaabcbcabcaccaababbccbacccbcabcbbcbababbbaabbcabcacaaabbaccbabcaaccaccbabcaccabbacacacbccabbcacabcbbaaabacccbaccaccaaababbaabbaabccaacacbccabcaccccbaabcbbabcaacbccbbcbbbaabaccacabbccacaaabcabaccbacbcccbbbaaaabbabcbbaccbbcbbcbcccbbbcabbbcaacaacaaabccbbababaabbbacbccbcbaaabcccccbbbccaabcacbbcccabaaaaabbbbaaccbacabcbbcaacacbacacacbacbaabaaabbbbaabbacabccbabbbabcbbccbcaabccabbaaabaaabbbabccabbbbbbbccacbbcabbacacbacaaacaabbccbaacacbcbcbcabbabccaacbaccaabbaaaaaccacbbccabcacbbbaacacbacbaaccacbaccbaacbaaccbababcccbbccaabcababaabcbbcbbccbbccccbccbacccabbcbcbbabbcabbbabaccaabaaaacbcaaccbabccaaccacacaabbaccccacccaacccaaaccbacabacbcbbaaaaaacbaacbccbaaabcbcbbaabbaccbbaabccbbcaacbcbaabaacaacabccbbabbbccbcababbaaacbabbcbcabaaacbbbbccabbaacabccabaacbabcbbbabacbcbbacbcabacbabaaacbacaccacabbccbccaabcccbcbbbaaccbaccbcaabccbbababbabbaacbbacabacaabcaacbcabccbcacbcbcccbcabccbaacbabbccaabbabccbababaaabccaacabcaacaccccacacaaccccabbbcbaaaabacabaaacaacabaabbcabaaccccccaccaacbcbcbaacccbaabbbcaaacaacbcaaccaaccabcbbcaccabacbacacaabacaabbabbbccaaacbcbcabaababbabaabaabcacbccaabcbbbabcabcbcbbbbcbcbacbcacbaabbcacababaaccbbbbbcbaabaaabbbaaccaabcbacabccaacbccccbcacaabbcbabaacccabccabcabbbcbcabbbbbbcccabbcccaccbbabbcbabaabaacacbccbaccacaacbcbcbaacacacaabbccacacbcababcacaacccaabaabccccabacaaacccccbaabbccccbcabcbaccbbbaaaabacabbbabbbabbbbaccccbacacabbaccabbabaaabccaabababccccccaabacbcbbbbbabcabaaabcacbabaabbacaabaccbbbccabcabaaccacabcabbbacabacbcbbbcbbbcccccbbbbaabaabaabbaccaaaccbabccbbbcabbcbbbccbababcbcbacccbccabcbcacaaacbcaabccaacabbccbacccaccbcbaaaacbccbcaaaccccbaabccbaacbbccacbcabaaaacabcccaccaccabccabcaacbaabcabacccbcbaaaacabcbabbaaabccaabbcbabbcacabccaaabcaacacabccbcacacbabaabcbbcbcccccabaacacbccccacacccaacbbbbcabccbbbabbabcbbcbabcbbbbabcacaabccaccacaccbaaaabcabbaacccabaaccbacacbbbbbbbcabacccaaaaaabcbcbccbaacaacaabaacbaacbacaaabccacaaabbaaccabbcabccbcbabccbcacccbabaaacbbcbccabacccbbcccababbccaccbbcccbcbbbabaabcabaaaabaccbaccbbccaccabaacabccabacccbcbacacccbbbababccbbbcccaacababaaaacacaabacbacaabbcbaccabbbacbabccbbbaabcaacccacccccaccbbbcbabcaabacabccbcabaabcbcabccacacabbbacbbbbccbccbaabacacbaabacbcacccccbcbcaccbbaaaaabbbbacbaaaaaaaaccbcbacccbaacbabbbbccbcaaaccbacaacaabcacacaccbaabbbccaabccaccaccbcbacacbacbbbbacababbcbcacbccbabbaabbbabbaccacbcabaabccacabcababbaabccccccabbaccbbabcabababcaabacbbcabccabcabbcbaabaaccaabaaaacacccacaccccacbbabbcaaacbababaaccccaabcaababcacbaccbcacbacaacbaacabcbbbacbbbbbcbbbcbaacaccabacacbaccbcccbbaccbcbbcbbbacbcabbabacaabbabbabbccaccccabaababbbabcbaaaccabcbccaccbbcbcccabcbccbbbccacccbcbabcbcacbccbbccaaccbaccaaaacccacbbaabbababaabcbcaabbbccbcabbbccaabbbaccababbabbbbacbaaabaccabcbcbaaccababcaacbcbaacacacaabbbacbcbcbbcbaaabccccbbccbbaacbacccbacabccabacaccabbbbbbccbcbaaaaabbcaacabacabccbcbbbbacccabbacccbabbccabcbcbbbcaacbaababccacacbaaacaaaaccbbabcbbcacaaccacbcaaccbcbabbaaccabcccaacabbacbcbcaccbbbccabbccbcacbaaababbcaabcaccbbacaabbbbbcbaaaaacccccaacababababcbbaaaccccaaccbcbbcbaaabbccacaaacbbacbccacbcccacbaabcbbcbccaacbccaccacaacacbacaccbccacaabbbbaabccbbcbcaabbaaabcaccbbbcbcaaaaccbcbabbcbaccccaabbccccbbaaacbacabbbcacaaabacaccbcbaccbacacbababcbccbccbabaababacbccbaabcacaacacaacaaaaabaacccbbcabbccabbacabcaabcabcbccccabcacbacabbcbcacabababbcaaccbccbababaaccccbcccaccaccbcbcbccbbcabcccbaccbbabbabbbccacbabacaaacbcabccaaccaccbbcbcccbacacbccbcabcabcbbcbbbbcacaabacaccccaabaacbacccbccbbbabcbacaabbabcaaacaabcbaabccbbcbbaccbbbcaabbaaacbcbccaabaabbcbaababccacaaccbbbbaaaabcbbaacabcacacabbaabbbcaacbaacbbababaaccacbbacaacaabcbaacbabcccbacaaccaaabcbcacaccabacababccacabccbaaabccabaabacbbbcaabccbcaabbbacccaaacbccbbbbcabcbabaabacbbcbacabcacccabccacabacbcbbcacbbbacaabbccbcbbbbbabccbaacbacababacacbcabcabcacaaacabbcaaabcaabcbccbccaccbcbcbcaaacababcbbabcbcbccbcbbbacbaaaacbcbcaaaaaaccacbbbbccabbccbabccbccbbcaabbaacbbbbabcccaaacaaacccacacbbcbbbbacabcbcabcaabbcaacbbbccabbacbaababcccbabbbbbbaccccbacbbcaabccbacccabaaccabccacbcaabcccbbbbcbbbacbcacccbccbabbbabaacbbcbccabaabbbbabcbabcbbbcaababaabbbcabbacbcaccaccabccccbbcbaaaccaabaabacbcbabbbaaaacaabcacccbacbacaabbaacbccacbacacccccbbbcccbacacabccbacbabcacbbccababccacccbbbaaccbbcbaccacaacbbbcbccaabbcbcbcbacaccbacaaacacbacacbbcbabaaabbabcabababbabcbccbccaabcccbbcbcacccacbbbcbbccbbccaabbbaaaccbcaabcacabcccabacaabbbacccbaaacbbaacbbacbbcababaacabcbbbbcabaabcaacbaaabcabababacacbbcabaccacbbbaaccccbcbbbabbcbbcbcbbbacbcbbaaccccaacabccaacccaaacbcbaacabbccaccabcbccacaabcbbabcbbaabccabbccaaabcbaacbbcbcabbbcbcaabbaaabababaabbbbaacbbcbbccbaacbcacaabaaabbaaaacbccbbcacabacbabcabcabcbccababcacbbaccbbbccbbaaaacbcbcaaacbbccbcbaaabcaccaaacbaacbacccbabacabccccccccaaacbacccccbbbbaacbaaccaaabbaacabccbbcacababcbaccabccbaabaaabcccabccacbacbccabaaaaaabbabcbcaacaaccbbbabcbaccbcbbbabcacbbcbbbbcbcaacbacaccaccacbcbaaaaacbbbaaaabacbcbbbcacacbcabccaacbababbbaacbcacaaccbabcabbbbbaabaacbaaaacbbbbabcbacbbbcacbaabaabbcabbbaacccbabbccbbaabbcabbbabcbccccbbbaacabcaccaabacaabbccbabcbacacbbabccccccacccacbbbbcbbcbcbbbaccabccbabacabcaacccabaacaabbabacbcacbcacaabbaaaabccbccccabbbaccbacbccabcbccabbabcabbababacbcabcacbcacabcbbcbababcbccbbabcccccbbbbbaabcabbaaccabbacbaabcbbcbaacbbaabbbbaaaabbbbcaabaabccacbbbcbaacbcaabacbaaacbbbbabaaabcacaacccaaabbccaccbbcaaacbaaccbcbaccbabacacbbcabcaabaacacccbacacaaacbbbcccbbabaacabcbcbbcbacbacbabbacbbbbcabaaaccccbbbcbcccbbcccbcacbbcacacabaacaccaaaabccabccaabbaabcacbabbcbaccbaaacabccabaaacbbbaccaaaccbcababccacbccaaaaaccbbbccabbbbcacbcacbacbaaaacabccbcaaaacbbbcacbaabccbaaacaabccbcbbbaccccbbbccbcbbcbabacbcabcbacbcaccbbbbbcabbbabccaaccbabacbccbbbcaaacbccbbacbabbabcbaccaabaaacccccaaacabbbcbbabccbaacaaccbabbbcbbcabcaacbabbaacaacabbbccabaaabbaccbabbabaccccaacababaacaacbcbcaabacbcaabcbcbbbcccbcabbabcaacbbcaaaabbaccaabbaccbabccaaccbababcacabacababaacbcacbabcbcccacabbcabcaaacccaccccbbcccacbcbbcccababaccbccaabbcabaacaacabacccaaabbcbabaacabcccbccccaaacaabbbcbacbcacaabbaabaacbabcbcbabaabcbacbbbcbcababacccacbbabbabbaaacbbcabccbbabacbababaabcccbaaccabbbbcaabacaabaabcaccccbaacbaccccbaccaacaccbcabcaccbbbcaccbcaacabbcaacacaacbabbccbbcaccbccaccbbaacabaaacccbcbcaabcbaababbacaccacabacccabbcbbccbccaacabcccccaaabcbbabbbbacabccaabcbacbcababcbbacbbcaaabcbacaabcbbaabcabbccbaaaaacabcbbbbaacaccbcabcbcccaaabacbbaabbcccabccbcccbcababbacbbccaaabcabbccbbbacbbaccbabcbaaccacaacbcabcacccbbbbbbbccbbcbbbcabaccbbbcbbacacacaaabcbcbaacacbbcccaccabbabbabbcacacbbcbbbbccacbabbbbcacbbccaabccacaabcbabbacbababbbabaacccabcbbaaabaaaacabcbbaaaaacbbbbccaccccacbbcaccbcbabbbacbbbaacaabbcbaaaababacabcbbcccaaacabbbacccbacbabcbcacbcbcbbaccaabcbacababcbcccbaaaacbbbbabbbbacbaacccbcacccccabbabbbababbacabbbcacabaacccbacaaaacbccbbabbbaabcabcbabbaabcabbaaacbbacabccbccbcbcabaacccabcabaacaabccbccbccbbaabacbabacabbacabbcabacbbbabbcbbaccacbcabcaaacacbbcaacbcbcbabcaccaacccaaccaabccacbcacaccbbbccaacccbcabbcaacbabbcaaacbbccccacccabcbaccbcbcbcaaabcbccaaacaccaccccacccabbbaccccaacacccbbbbacabbcbcaabcaabaabccacbcccbabccbcbbabacabcbaaabcccbcaacbaaccaccbaaacabbcaccacccacabacbbababbcaaaaaccbccbcbcabbcaccbbbcbbaacbccbccabcccacbbacaabaaaabaccaccacbaacaabcbbaacccaccacccacacbcbbaacbaccaaacccbbbbacbaaacbcabaccbccabbcabacccaabcccabacbaccacbccbabcbabbabaaaaaaabcbcabbcaccbbbcbcbcbbccbcccbcbbaaaaacacacaabbcaabcccbabacacbbbbbacbcaacbccacbccaacaccbbbcbababccaabcbbbacbccbababbbccccbbaccbacaaaaccbbbbccbccabaacaabcaaababacbbbaabbbcabaaccabcabcaacbbabcacbcaacbabbbcbaaabcbbcccabcaabccccaabcccabbcacbbaababcbbacacabcbbcbcbbccbbbaacbcaacacbbcbaccbacbbaabcabcbaaacbaabacbccbacccbcababccacaacaabcbbacbaabaaabcbcbbbaabaccabbbabcbbabcbbcabbbcaccaccaabcacccbbbbaaacaaaacbbbbabbaabcaabbcbabcbbccacaaabbaabacbbccacbacccbaaabcababcaacbbbccaacacababcaccccbbcbabcccbbabaccbccbaaacccbbaacbcccaacaccacbaacbbcaaacaabaacaacacbcccbacaccacbcbbbbccaacbcbabaaccaaaacccbbacabaacccaaaacababcbaabcccbabcaacbacacaccacbcabbcbbbbbbacaccbbaccbccaaabbcabcbacccccacbbcababbbaabaccabbaabbbcaccccbabcaabbcccaccaabcaaababccbccbbabbbbbcacacaaccacbacabbacaacaacbbababacccabcbbbcbbcaabbaaccacaacabbbcbccbccbbaccaabccbabbcccbacbbaaaaaabaacaaccaaccaaccabaacbbabcaabbbaacaabaacccccabccbcbaabcbcacabcbacbbbaabbbabcacccbaaabcccabbacaabacbaaaccabacacccacccbacacccaaacacccabaacacabbccbaabccbabccbcbabbbccbbbccaccbbbbccbbaccbcbaabaccbcbbcccbcbcbbccbaacaabccacabaabaaabaaccabcabbbbaccacbabcacbaabcbcacbaaabacaccacaaaacbacbcaaccbbabbcccbaccabbcabbabcaaabbbacbbaaabbbccbbcacabccacabbaccacbaaaccbaaaacacacbabcbcccccbacbcbaacabaaacbabcbbabcbaacbabcbbccbcbbbcbbbbccaccacbcacbabbacbacaccbabacbbcaaaabbcabcabcccaabaaabcaccccbbbcbbbaacbaccabaabaccbbbccccbccbcaaccacccbacccabcacbabcccbbcbbcaaaccacbbacbcccbcbaacbbacbcabbbababaabccbaaccbcbbacacbbacababaacbbcccacbcbcbbbcabccaabcaaaaacaccaccaababababbbcaaaccbaacaaaccbbabbbccbcbbabbbbcaabbaababcbcacccbacbcbbbbacaacbcacaacaaccababacabcbcaacbccabcbbbcccbaaaaccbaabbacbbabbabaccaccbaababacbcbcaabaccabbacabcacaacbabbcaababbabbccccbcaaabcbbbccabcccacccbbbaccabbbaabaaacccccabcbaaacccaaccabcccabbcabcabbbbbccbacbbbcbababccabbcacbccabaabbcbcbbabacccabcbaaccaaaccabacabcababcbbaaabccabcccccacababbccacbcbccbbbbaacabcbbbbbbcbaaaabaabcabbaaabaacacbbcaccabcbaacbcacbacbbcbacaaccaccbcaacbaabbbcaabbbbbbcccbacbcabcbbccccacbcaaabbabccacccbbcbbbcbbaaccaacbaaacacccbbaaabccccbaabbccccbcbabbaacacaaabcbaaababcccbabcaccbbaaccacacaacbbaaabcbbacbccbccabbcacccbccbbcccccacbaabcbcacbcaccbcacaccababacbaaacbbcbbbabbcbcbaabcbaacbaababbcaccccccacacbcbcbcabbbaabaacabaabcacbacabccbacccbcaaacababbcaaabbbcaaacbaabccabbcacbabccbcbbbccaaaabbabcbcaccbacbacacabaccabbccbcaababccaabcabcabacaabaacccacccaaccaabbacacbacbabcbaccbabbcacbcbcacacabaacccaacccbbbaacaaacaccacabaccbccbbacbcccabacbcaaacbcbbcbcaaabacbacbcaabaccbacbbaaaacabcbbabcbbacaccabbbbbbaaccaabcccccabaaacabababbccacabccbcbacaccbcaacbaabbacccabbbcbbbaccaabababcacbbbabccccaacccccababcbcbccbbabbccbcabababbcaababcbaabacaaaacaaaaabaabccbbcacbcaaabbcbbbacacbcacbcbaacacbccbcaabccacbbcbcaaaababcabbbacbbabbabbaaacaabcccaccbbbcacbcaccbbaacababaabacabbaccccabbacaaabaaaccbacbccbccbcacaccbcbaaababcccbcbaaaabcaaacbbaabcabbabccbcbaccbabcbacacbacaabbccaaabccbbccacaccbccaabacccababccccccccccbbaabababcaabcbaccccaabbccbbcbcbaaccaaaaccccbccaccbbaacaabababbaccbcbbaababbbacccabbbacbbcacbbbbbbbabacacaccaaaaaccabcbacababccaaaaaaccbbaacacbbbcabbabbabccaabcaaccbbcbacbbabaaacababacacccbabacccaacbaababcbcbabcbccabcbbacbabaccccbbabcaabababbbbcbcccbbcbabbaabacabcbbacabccbbcbaaaaaabaacbbbbbcbbcaababaabaacabaacbbbacbbabaaabcaabacacacacbccbbccbcbcbcabcccacacbbabacababaabacabcacbbbbbacbbacbacccccacbbccccbbaccacccbaababcacbbcbbcbccaaabcccaaaaaabbbaccccbbbbbaabbcaaccccaaabbcabcccaabcabbbaaacacacccaccbccacaaaabbaccccabbbbacbaccccbbaaccacbbcbcaababcababaccbacabaacacabcbcabccbbcccaacbacaacaccccaaccaccaccbccbcacaccaaaacccccbaacbaabccbcaaaccbacacaaababbcbbbaaaabcbbabccaacacbbbabbccbcbbbaacabbabbaccbbcbaaabccabcbcbccabacbbabcabbbabacbccbbabacabcaaaccbaccaccbbbcacbbabbcbcccaacbbbbbacbcbcbcaccaacbbbcbcccbaccaabaaaaccbaacabacbcaaaaabacbccbaabccbbbbabaaacbbcabbbbbcbabbbbcacccbbcacbbbcbbcbcbccabacbaaabcbabcaacbbbabccaabcacabcbbbababbaacaabaaaaabaaaccbcbbccbababcabbcbbbccccaaaccaaccacbcbcabaaacabcabaabacaabaaaacabbbcabcabbbabacbbaacbcbaaccbbbbcbabcaccaccaaccbaacabbccbbcccbcccbccacbaaccccacacbaaabbcaaabacaabbbabacbacabacbabccccbcbcabaabbbbccbccbabbabacaacbaaaacababccaccbaababcaabcbbaababbcbbaaaacaaccaaccacbbccaccccccaabbcabcbcaccbaccbbcabacbbacbcbaaabbcccccbccbbbbbbcabaabbccabcbbccaaabacbaacacbbbbacaaccaababcabacacccaccacbbcaabacaacbcbcbacbcbcaccbbcaabcbaccaacbcbcacbcbbcabccccbaabcaccabacabbcaacbbccbbbbcaccaabaccbcbcbacaababcbbccccbcacaaccbcbbacbbccacbababcbbbbbabaacbabbcbbbabbbcbbabbbababcaacaababaaabbabacccaaabcbabbabbccbcabccbcabbabbbbabacacabababbaccbaaaacccacaccabaaabbcbbccbabbabbcacaaabacbbbbcbbccccbacbaacbabcbcbacacbaacabcbacccacaaabcabbccbbacbcbbcacbccbabacaacbccbabcccbcbcbaccbcbbcaacbcccbaaaccacbabcbabcabcbccabbacbbcacbaccbaaaaaaacbaabbaaaabbccccbababbbbacccbbcaabbbcbaccbabccaaaccbcbabcbaaccaaabcaabaaaacbaabcbbabacbbccabbbaaabbbabbabaacbaabacccbbacaccbbcbbbbcbbabaaaabbaabcbcababbbbabbbbcccbbbbaccccbbbaacacaccccccccacaacabbbabaaabcaccbacbacbbaccabacbcacaacbcccacabbaabbacaabacccbacbcbcccbccabaaaacaabaccbaabcbabccccbcacbabbacbabcabcbbbbaaccbcabcbaacabbaacabacbcccaaccababbcccaaacbabbaacbbcaabaccaccbbcccccccbbbacbcacbcccaccaccacccabcbabcccabbbbccabababcbbbacaaacabacbbabbccbbaccbaacccbacabaaaaacbacacacbcabbcbbbaacaacaacbabacacbbbbbacbbaaaccaaaacbccbcaacbbcacabaacccacaacaacbaababacbbcbccaabababcbabbbbabaacacbccccbcaacacaacababcaaabcacaacabaababaaabaccaccbaaccacabcaaabbccbbacbacaaacabbababacbcbccccabbcbaaababbcaaaacbbbacacacbbbbbbbcbcaabbbabcbcbaacbbcababbbcbccbaaacbccbbabababcbcaccacbaaaccbcabbbabacacccaacacbacaaacbbcaabbaccaccaccbbabcabbcaccbcccbcacbbbcbccbaaccbaabbbaabacababaabaaaaccaccaababacaaaabaabcabaaaccbcaaaacaaaababaaacbcaaabbccbbaabcabbcccbacbcbbccbcacbbbbacacababbbcabbcabbbcbaabbcbccbabccaacacbaababaabaacbcababcbccbbbbbacbabacbbabcbbccccacaccabaccccbcaccaccbcccaaabccbcaccbaacbcbbcccabbacacababbcbcccbbcbaccbbabccccabaabaaccaaaaabbbbcccbccbcccbabbbcbbcaaacacbacabbacbbcabbcaacbbbabbcabcbaacacbccbabbabbbbababbabbbbccbcbacbaccbccbacabcbbacbccaccabccbabaaacabbbcaaababbbccbababcbcbbcbcaaaccabbbcbccabbcacaaaaabbcabbcbcacabbbbbacaccbaacbacaaabbaaaaacbacaccbaaaaaaaaaabbcaaaabbccabaabbbaaaacbbbaaacbbcccbaaabaacabbbacbbbcabaaccaccbcacabbbccaaacbcbcbccbbcbbbaabcacaccababcababbcccaacaccabaccbcbccbbccbcbabbbcabcacaabbccacaabbcabccbbbaccababbcbaaacaabccaaccabbacbbcbcccbcbaaccbbbccacccacacabacbccbbcabacabbcaaacbbcacbbbbcabacaabbccacccbbaccccbcbbbbbabaabaaabbccaccacccbbccccbaabbcccbcacbabcccacbacacbbccbbcacacacbaabababccbabbcaabbbbcaccccaabcaacbabcaaccccabbcbbacacbcbaccbaabcbbaccabaabcabcabaaaabaaacabbaacbbcacbcaccbaabcccacbacaaabccaaaaabbaabbbabacbcbcacccacbcbacbccbcaaccacbccccaabbcbbccbbbbacbbcbcbbcbaccacabbabcbbcccbbbcaccccacbabbaacccbabbbcbbcbcbacbcbbccacacaacbcbcacbcaaaacccccaaaabbbaaabbcccbabcccbbcaaabcaaacaabccbcabbaacbbbbccaccaccbccbbbbacabccbbcbbccbbbcaaacbcbacccccccaaabbcbbacbabcbccaabaaaabcaaccbbaabccbcaaacbbccabbbbcbbabbcbabccacbcababaaacabaaaabcbbabcccbbacacbbbabacabbcbbaabbbbbbcbbccaaabcaacccaaacbaaacbacbaaccaabaaaaccbaaabbabbcbaaabcccbcbbbcbcacccbbbbcbbbcabccbcaacbabcbaaaccaabbbcbabbcbabacacbaccaabababcccbcabbbaacccbcbabccccbbabbbabbacbabbbcbcaaccaacaccaabccacbccbcaccbbbababbababcbbccccbcabccacabbcbacbcacabaacabacaacabbaaabacacbacabbbcaaaaacaaaabcabccabbccbbcccbaaacbacccabababbccbabbbbcbcbbcacccacacbabbaaacbaaabcccbbacbbbbcbaabccbcbccbcbabacbacccccbbaabacbabcbbccbabccacacbaacccabccbcabbbccaaababacacaaacccabbaaabbabbbcabaaccbaabccbbcbacaabaaabbacaaacabbaabbbbbbccbccbacccbcaabcaacbbbabcacaacbabccbabbabbcabacaacbbaabaaaabcabcccbccabcaababbcbccaabababcbcbccbacccabccbaaaccacaabaabcccabbacbbbbcccabccbaaccbbaacbaabbcaccbcbcabbbbbaaccccabcabaabcaabaaacacaacccacaacaccabbcaabaaacbbaccaaccbbccabbbbbccabababcbcbbaaabaaaccbabbaaacbabccbbbabbcbabacbbcacaabcccaababaaabcaababbabacbabbbcabbbabbbaabbaabcacacacaaabcbcaaababaccacacaababbbcbaccacaacabbbaabaacabbacbacbacaaabbccbcaabbbaabbcbcbbcaaccaaaccacaaaabcbcacbabcaaaaaababbacabbabbabccabccbabcccbbbbbcacacabbcccbcbbbbabcbbabbcbabbaabbbabccaababccaabbccbcbccbbcacacbbaaacaaabaccbccabbacbabaccabcaccbccabccaababcbcaabbaaacbccacbabaaabcbaaccbbaaaabccccacbcbbacaaacbabaacabbaabbccabccabaabcccacaccbcaaabcbabbabcbacbccaaabcbabcabaabcababbbabaaacbbbccccababbacbbcaabbbccaaacaacbbcbacaabcbbccacaabcccccababacaabcabcbbbacaaabcbacbbababbaacabcbaabcbcccbacaabbbbaccbcaabacabacabaaabcacbcabcaabcccaacaabbbcacbcccbbcbaaaaccaabcbbcbaacbbcccccabccacccaacbbaccababbcabbbbcbaccabbcbbbcabacbbbcccbaacbbcbccaaaaababcccaccabacccccbacbcbaaaaccbcaaabbcaabbbbbaacbcbbabcbacaaccbccababbcaaabaaaacacbbcabcbaccaacacbcabbaaccababaaabbbbabcabcccaaabcbbcabbcbbabacccbcbaccbbcaccabbbbccbaacacbaabbcacacbbcbbccbbababcaaabbbabbcaaacabaabbabcacbcacbabbbaacabaabaaccbcccccccccbacabacaaaccacbabbbcabaccababcacbacacababbccccaacaabcbccaaccbcbccabbcbccaaabcabbccaccabbaaacccbababcacabccaccabbbaabcabababaabbbcbaaabbccccbabbbabbaacbbcacbabcbbababcabbcccccaabbcbbacacabcbcbccabbabbbcbbaabacbabcbbaccbcabccbabbbcaccacacccbccbcbbababaaacacccabccbbcacacaccbccacbbabcbbccbbbcbbcaacbbbbaaabbcaacbaababacbaaacabacbcbcacbbbaccaccbcaacbacccaabbcbcaaacbbccbacbacabcabcacabcbabaaababbbaabaaaacccaababcbbbccbbabccbabcccbcaaaccbacbcbabccabaaaaaacbcabcbccabbbbccabccabacbbccacabcbcccbbcccbcabcacabccbcbbacababcbbcaccbaabaaaccbabbbcbccbaaaaaacbcacbaaaaacabcbcabacaacababaacabcabbaaccabaaacaaabaaccacbaaaaabacabaabaaaabbaacbccbabccaacaaaacacaabaaaabacbbbcbcccbbabccabbbccacaababcabbcccabacbabaacaaaccaccbaaabbbbabbaacccabcabbbacccacbaacbaabccaccbccabbcacaaabccccaacccabcacbcbacaaaabbbbbacccacbcbacbbccbcbabbbcaaaccaacaccabaaccabbcaacbacbccbcbbbbaaabcbacbcaabbacaccbcccbbaababacacaaccabcababacacbbbcbbcaabcabcabaaacabbbcccabbaabbbaaabacccabcccaabccbabcbaaaaaccbbbaaacbbbaabccbbbaaacbbbabcccacacbbacbcbabbabcbabaaccaccbbaacaacbbbcbaaccbcacbcaaacacbbcaaabcbcccacbacbbcbaccbcababaaabcbcabcccccbcbbcccbaacccabbccaaacbcbbbaabaaccbacabbabbcbccbaccaacccabbaccaacabccaaabaaabbbaccccaccbccacacbabcccabacccaabbacbccbabaccacacabcbbcbbaacaccbaacabbbbaaabccbabcbcabbbbbcccabaacabbacabbbbbcbaacababaabbababbacbcccbacbbcbcbbbcccaaaccaccbccaabcbaaaaccbbccacbbbaccbaccbacbabababacbcaabbacbabbbaaaccbabaabacaabaccabbbcabbaacccbbcacaacbcbbacaabbabababacaabacbacbbbcbaabaaaabccbcccabaccbaabbabbabaccbabbbbcacbbaabcacccbaaaacbacaacccccabaccbacbcaabaabcaccbaabacbbaacaabcaacbaabaabcaaaaaabbbbbacbccccbcbabbbcabccacacbabcaaaccaaaacbabaccabbacacbabaabaabaabbcbbabaacbababaaaaacacbbacccacccaccccbcbaccbbaccbbacbbaccbabbcabccacabbcaaabccbaaccccabaabcbcbaaaccbccbcababcccbcccbbacaccccbacbaaacbbbccbbcabaccbccbbacabababbcbcaacaaaacbbcccccabaabccbcaabcaabbbcccbbacabbcbbbccabbbacbcabbbbabcccabcabaaabbcabbcbbaaacbaacccbcbabcbccccccaccccbbbccbcccaacaacacbccbaaabbabbbbcbaaacbbcbcbcaabbacaaabacacaccabcbbbcbcacaaacababcaaccccbbbccabcbccbccaaacccacccccbcbcabaccbabacabcbbacbbaccabccababcbacbcababccccabbbacbcbcbaaababccaccacababbcacaaaacccbcaccaaaaaacacacbbbacacacbabaacbbabbcbbaacbbabcbababaaacbccbcbabbbbacbccacacabcaacbabaabbbcbcaaccabcacbacbbbbbabaabbccabbbbacbacaabbbcbbbcbccbcbbabbbbcacbbcccccacbaccbbcbbcacbacaabcbaacbabbbabbabcabaccaaaababaccccbbbabbcccacbcaccabbbbbbbaabbaabaccabcccacbcabcbacabbcaacbbababcbaaaacaaaacaababccaccbabbaaacaabcbcccccccabbbbbbacaacbacbcaaccacbabcbbabcabacbacaabbbcaccacabbccaacbbaabbbabbbcbbbcaabcabaacababcaaaaccbccbaaabbbaaabababacabcccaaaccaccccaabacbbbcaacbabccaaaccaaabbabcabcabacaaaabcacaacbbbbcabccccaabbccaaababbbbababcbaaabccbabacbababaccaabcaacaabbbabcbbbacacbcaccabbacacccbbbbbcaabcaaacbbcccbcabcccabbcbacaaccbaacccaabcbabbcbaccaabcabcaaabababbcbbacbabbaabcccbcbabbccaaaabacbbbbacaacacbbbbbaabcaaabbbcaabccbaccbbccbcccbacccaaccccaaaacbbbccbbcbcacbabccbaabbccaccabbaabcbabbcaccbacaabccbbaabaacbcacbaaaccbbaabaaabaacbbbccabcaaaccbabcbbcaacccacabaaacccccacbbacaacaacaaacbbaabcaaaacbbaaabaaaccbaacbbacbababbaaaaababcaccabcbaabbcabccabaababaaabccaaaacbacbcaacabbacbacbcabcbabcabcaccacbacaccbbbaaabacaccabaccaacabcbbabbcbcabbcaccacccbaccaacbcbcabbaacbcbccbbabcbaccbbaacabcabccccbabbaccbacbbabaccaacbcbaabcaccbcacccccabaacccbccbcaacacabcccbbacabbaabbacacabbcbcccbbcaaccacbabaccbbbaaccbacbabbbcabaaaccaaaacbbcbbbacaacbbabaabababaababcacbcbacacaaacaabaacccbcacccbccabaabbaccccbbbbcaababaabacbabcaabaccccabbcbbcacbcaaacacacbbccbbbbacabaababbcaabaacaacccabacabbaabccaacacbacabbcbcaccbacbaabaaaacbccbbccccbaccaabaaaacaabaacaabaccbacabbacaabbacccaacbcacbcccbacabcacbcbccacabbbaabaabbcbaacbcaccacbbcacbaaaabaabbbabcaaababcabcbacacbaabccbaaabccbacbbacbbabcbbcaabcbccbccbcaacbbcbcbababbbaabbbacacbacabbabcababcabaabcabcaacccbbbccbbbabbccbaaacabccacccbcbaacbccabaaaccbcababcaacbcbcacacbcbacaccbacbccbcabcabaaacccbcacabbcabacbbcbbcabaccccaccacccabcaaccbbbabcaccccbbaabcbaabbcaabcaabcccacaabbacacabbbacabbccbcccccbaccbaccbaacacbccbbaccaaacaaccaaabcacaaaaacabaaabbacbbacaacbccbaccccababaaaaacaacccabccbbbccacbcaaabbbcbccaaacabaabbcbbcccbaaabcbccbcbcabbaacaaccbbcbccabcacaabbcbccaabbbbbbcbcaccbbcbbaabcbcbacaccccbaabababaaabbcacbacacbcabbaaaccbabbaaabbaccaaacccaabbbbaacccbacbbbbcaababbaabbbbbbbccccacccbbbbbacabbabbbacacbbbaacbccccabbcbccbbcaacbccaabbbbcbbaabcbacbaabbacbbbbcbbbaccbcaabacccaccccabaabbaccccaccbaabcaccababccbbbacacbabcbacababbccabbcacabacabacbabbcaccbabbacbcbbcabbbcbccabcaaccabbacccaabbbccabbbbbabbaaaccccabacbbbababaabcbbbacbbbaabccbbaaacccbaacbbbbccbbbcbcbbabcbabababacacaccacbbaccccbccccaacacccbcabbbcacaacbcabcabccbacbbcbcbaacabbbbbaababcababbbabaabbaccaccacacbcabacabaccbabbbcbabcccbacacabbabbabaaccbabbbbabbbcbbbbbbabaacabacbccbccbcaaacbbcccbcbbabcbbaccbbacaabcccccabbacaaabbbaccabaabbabaaacbacbcbcbabacbababcbbbababbaaabbcabcaabacacbacabbcacbcbaabbaacbabaacbaacaccacbcaccbccbaabacaaaabbabacaacbbbacababababaaaccacbcbbababbacacbccbcbbcbbcbbccbacaccbcbbabcbaacabaabbbaaaacacabccabbcacbcbcacccbbaaabbcbaacaacabacbcabcaabbaabaaaaabaaaaababbbcabcbcbcabccaabcabcbacaabcbbaaacbbcbbbaababcbcacbbaabbbcaababbcabacccaacaccabbcabccbaaabbbacbbccacababbcbabccabaccccaaabaabcccacacacbcccbccaaaaccabcbccccbcacabccbcbaabbaacabbcacbcbbaabccbbbbaacaccccccaabbcabaabbaabacccbabbcaccbbbbcbbacbaabcaccaacbbcaaccbbcacbaabbcbaccacabcbbaacbccabccbbacbaaccaccbcbccabaccccbabcbbcbcbcbcbcbbacccabcabcacbabcbbcbbcbacababbbacabcbbabbccbbbccacbcbcababcbbabcaacccbacbbcbabbacaaccbcaaaccbbcabbbbaaabaabaccbabbbbbbbccbcbccabaccabcaabaabacaaacacbbabbcacbbbacacbbbbacbaacbcbcbbccababcccccabbbbbaaabcacaacabaabbccacaccababbaacbaccaabcabbaacaabbabaaaccaabcaababbabcbcaaaaacbcabcbbbcbbacabccccabbcabbbccbacbbcccacbcbcbcacaacabaccacaacbbcbababbbababcaaacccacbabacabcccbbbacaabacbabcaababcaaacaaaacbbabccaaaacabbbccccabaabcbbbccbbaaaaacccabbccbacccbbbacabbccbbcbbbccaabbcbbbcabacabcbacabbbcbcaccbaccabbbbcccbbbacbcbaababcaacabccbbbabcbccccbbabcbbbababcbaacabcbbbbabcaaabaaabcbcccbcacaacbccccbaabbbcbbcabbabbacbcbaaacbaabacaacaabbbaababbcbcbbaaabcbaacbaaaaacaccabbcbabccbccbbabcbabbbcbcabababbaccbbcbcacabcbbbabcbbbcabcbcbabaccaccbcaaabbabbbaaaacaacbaacbbcbbaacabacbabbbabaccccccaccbcbaaabbbcbccccaaccbbbcabaacaaaababaacccccaaababbbaacbccaccbcccccbcccbcbbccbabcbacacbcccbababbccbcaabbcaacaaabcbabcacbaaaaabbaccbcbaaabacaabaaacabacbacacabbbbacacbaacaaccabbcbabbabbaaaacbabbaabcbabaaccbbbbaaacbbcabbccbcaacabbcaacccaccbccbacbabaabbaccabbcccccabaabbbbbaabcacbcbacbcbbcaacbcaccabcabccaababcabbbcaccaacbcabcbbbacbaaabacbaabcacbcaccccaccacbbacbbcccacbacbbbcbbaccbccbabababbbcbaaccbccaccbccbbbaacbabaabbacccaaaababbbbbbaccbcacaacbabbbbbaabbcacbabbcaabaabaaabbabbcacaccabbabaccabbabccbcaaabcbcacabccbcacacccaccababcbaaaabbcabaccccbbaccabaacabbaabccaacccbbbbcacaccabbcaaccbccabcbbbcbcccaaacacbbbbbccbababbabbcbbcbabcaacaacbbbbaaacbbaaccabcbcccaccaabcabbacabacacbcbcaccaaccacbccbacccccacaaabbcbbacbaaccbccccaaaccaacabbcbcbacacbaabacbcbccbababccabcccacbacbbcbaabcccbccaabbaacaccbbcbabbcbbabcaacabccbabaaacababcbaaabbabccccccababcabbabbaacbbabbabacbbcbabccacaabaaabbaaccacccaacaacbccaaaaaacccabcaaacbbbaacbccbcabcbbcbcabcbbbaababccaccccbcababacacbabbcaccbababbcaacbbcaababcabbbbbbbbbcbacbababacbacbcbbcacccccccbcaacacbbccbbcbcababbbcabacaaacccbabbabccbcaccbaaaababcaabaccabaacbcccbcabbabacbcabacbcaaabaccbcbcaabaabbbccacbcaaaabacaaababbbccabaaacacbccaccbcbbcbcbaabbccaccacabaccaabbbbccbacbccbcbbcbcbabccacaaccbacacccabbbbacccaabcabaacacaaccbacbbbbbbabaabbbbcbcbaacbcaaaabbababbabaabacbaaaaaacbacccbaababcabacbbbacabaacacaccccaabbacbcaacaabbcbaaacccacbcbabccbccacbacaaaccabbabcabbaaccacbabccabcccbbaabccaaacaabbbacbacaaacbabcccabbcaabccbababaacababbccbbbaacccaaccabaaaabbccbcacbccabbcaaaccbabaabbacbbbacbcbaacbbcbbbcbbcaaccacabcbbbaacbbacbbaabbccaaccaccbccaacaccbcccbababbbccabaacccaabcbcbcaccbbbbcbbcbcbbbabbbabaacacaabcbbccbabcccbbbbaacbcabbbabaaacababaccbbbcbaccbabbbcaacbccacabcabbbbaaaaacacabbaacbacbacaabcacababcbccbabacbbbbacccabccaabccaccbbacaccacbcbccbbacacbcabbccbcbcccbaabbacaaabcaabccbabcbccbcaababaababbbccbbbcbcaaabbbacbcbcbccacbbcbcbaabcacacbcbcacbacbccaacaaacaaabbcccbaabcbbacababaaacaacbcbbccbcaaacaacaaaacabaabacaaaaaacacacbcabcccbbcccbacabacabcaccbccccabacbcbbccacbbbbbcbbbcccabaabbcbaaabbbacbaacaaccabbbcbcccababcbcacbcacaacababacaaacbababccaabcbbcaaabcbabaccbabcbbcacaabccabccaaacccaabcacbcbbaaccbabbbacbabcbbbbbcacbcabababccacbbcabbaaaaaacccaacbccaabaababacabbcbaaacabcbabbbabacbccbcacaaccbcaacaccccaacababbccabccaabbbccabcaabccaabbababbbccacbaaaaaccacabbcaaabccaacbabacbbabaacbcabcabbcacccbacacabaaccacbbbbabccbccbbbaaccccaacacbcaacccbaccabccbaaccbaabbcbaccacabaaaaacababccabbabaccbcbccbbbaaacaabcbcacacababbcbbaaccbbbbaaccbabccaabbbcaabbbabacccbccbaaabbccabcacabbacbcacccacbbaacccaacaabcaccaacacbaabcbbcaaacbcaaaaabccbaaaccacaacccbaacacacaabbcaacacbcbbbabbababbbbabcbbacbaabbcabbbcaaaabbacbbcabcaaabbaabbabaacabcbccabacabbcbbaccaaabcbbcaccbbbabcbcacbabbbcccbbcbabacbbbccaabccacbacabbcabcaacbacabccbcaabbbccbabbbbccccbcacaccaabcabacbbaacacabbacbbccbabbbabcccacaacacbacbbacbccbbbbcccbbccbbccabcabccabaacacaccacbccbccabccbcaabbcacabcaaaacbbbcbabbababaccbaababbcacacbccbaabacbaacbbbcbbaccbbaccbccabbbbbacbcbcccabcabbbbccacabcbcaaccbacacacccacabaabcaccaababaabbcabccaaacbabcbccabaacacabccbaccbbccbacbbbbaccaaacbccababacbaccbabaacbbccaabaabbcabcbabaccbaaccbccbcacbaacabcbbccaccacacacacbccaaaabcabbccbbacbcaaaacccacbbccaababbabbcabbcbabbccccbcbcbacaacabbcbbabaabbbcaccbbbcbcccaacbbbaababbacaabbbcacacbbaccaaccbabcbccbbcbbacacbcccacbbaccaabbccacbabbccaaacccabbcbbbcaabbbbcbbcccaacbbabacccbcabaccccabcbcbaaaaacbbbcbccbbcbcacbcaacccabcabccbaaacacbaaccabaacbbcacbaaaabcbabacbacabcbabbabcabcaabbcbaaacacabbbbbacccbabbcacbabccbaccaacbbcababacbccaaabcababacacbbcabbccaacacabbbcacaaaacbccaacabababacbcbbbbccbccbbcbabbcbcacbbcbacbcbbaccaaabbccacaaacabcaaaccbacacacbbccbbbcabcacbbaccabbabacabccabcccccacbccabbabaabbcaccbbbccccacbbbacbcabbcbbbbaacaaccbcbacbcbaccbbcaaaccbabbabaabccaacbaccbbbcabbcbacacabcacccaccbacbbcccbbabbbccccabaabaccbcbcaaaabacbaacccbbbabbabcabaababcccbbaabccbcbcbcaaabbaacaabccccacbabcccbabbbabcbaccbbccbacabaccbcbaaacbcbabccbabbbacbbcaccacaacbbcaaaacbbbccacccabaaaaaaabababacbbbcabcbabbababbbbccbcbbcacacccbcccaaabcccabbcbbcaccacbbbaaccaccccabacbbacbbbbcaaaabcbcacabcbaccaaaaabbacbccaacbcccbcbbbacbababcbbccaabacbcbcaccacaabcabbccacbcbaabbabbbbaabababbccbbcccbacccccccbccccbbbccaaacbbcbbbcbbabccbcaabbacababbabccbaabbcccbbcbbaccbabaaaaabbabbaaacbbaabaaaccaaacacabccbccabbaabbcccabbaabbbbbaccbbcbacabaccabbaccacbaababaababacccbbbcbbbabcbbcabaaacbaccacacaabcabaabcccbbabbabcbaccbccbbabcaacabcbabbacaaabcbcbcbbacabcaaacaabbcabbbaaaccccbbacccaaaccbabcbbcbaaacbbbbabbcacaaccacbbaccacccbaccaaacbbabaccabaabbbaaaaabcbcbbbbababcaabaccaabaccccabbaacacacacbccacacccababccbbaabacaabacaccbababcbbaabcbccacbbabbbaaacacaacbbaaaaacaacacacbccbcbcbcacbbaaacaccbaccabbccbbbbbbcabaacbcbbbcabababbbcacabaabcbacccaacacbcccabbaccacbcacbcacabbccababbcaaaaacacccbabacbccacbcabbccbccbbaabacbccacbabbaabcccacaacaabccbabbccaacbbcabacbcccbcbbbbcbacabcbbaabbbbcbabbcbcaaabaaccbaccabacbbcaaccabbacbbccaabcbbbcbbaababccccacccbbbacacacccccbbaccabbcabcbccbbbbbbbbccabcbcbbcaccabcbacaccbbacbbacbbccbabcbbacbbbccaaaacbcabcbbbbaabcccacbaabcacabbbcbccaabcbcaaaccbaaaccaacbbccbaaabaaabaccccbbccaccbbccacacaabccacbbabbacbbbccbbcabccccbacaacccacccbaccbbaaabcaccaababcbcabbaccaaabbacbbaaabbaabcbcbcbcbcbbbbccbbcaacabbcbbcbcabaaababccbaaacbcbbbccccacccbaababcacbbbbccbacacbcabccccaaabccaacbbcccbcbbaaacaacabacacabcaacaccccbabacacbbacbcabcccbcababccccbbacbcccabcbccbbccbbcacaabaccbcccbcbbccbbbacababcbbacaaacbccbaaaaaaacbaababcbbbccbcbaabbcbcbcabbcaaaabbcacacbcccabbbababbbbbaabcaaacbacbbaccbccbabbbbaccccbabcbaabaabaabbcaacaabbabaacaaaaacbabbabcbabcbcababcaabbaaccbbbabacbacbbcbaacccaabcbccbcaabaacbbcccabbbaaaabccbbaabaaacbccabccacaaccbabbcacccccabbbababbaccbcabcabcbcabcbbcccaabcacacbaabcaaabccacccbbabccaabaabbcbacabbbacaabcbbcabbacaacccbacaaaaacbaabaccacacaabbbabaacacacbacccbaacccacbccbbbbabbcbcbccacccaaaaabacccaccbbbcbaaabacccbbaacbcbcbaaccbbbcbbaaaccbabccabcaaaaccaabccccaabaabaaacabcabbacbcbcabbaaaacacbcbaccbbaaabcaccbabbcbcabbcaccbcbcacbbacbbcbbcbabbacccacccbabcabcbabaaabaacabaabbccbababbcbbaaababcbabbacaccaccbabaccbbaacaccacccaaccabaacbccbbcbccccababaaaccbababbbbbcacabbccbbbbabbaaaacbccbbbbcaabcbcbabbacaaccccbacabccbcaccccbacbacbacacbbbcaaccccccabbabaaabcacaccbccbabbcbbaacbbacbaabaccaccbaacccbbacacbcabbcabaabbabcbcaacaacbcbbcbbaaacaacaabcbbabaabacaaccaacccccbccccacccaacaccbaaccbbbbbcabaaabbcabbbcabccabbcaccabccbccbaaacbccabbbaaacaabbbcbcabaccbaaaacbacabbcbbcabbaabccccaacaaaccbacacbcbcbabbcbcccaaacccaacabccccaccbcbcbaccbacbbbcabbcbabacabccccacabababbcabccacabaccabcacabbbabbccaaccbbaccabbacbcbcbbccaaabaaaccaaababaaaabcbbbabcccaabacbbabcbcbbcaacbcbcaaaccacacccbccbbbacacbaacccbbababbcbbccbabbbacbbbaccbccbbcabccacbcababccaacccbbbacbaaaacabbbacccacacbbaacaaabbbcabbacacbcbbccbbaabbbaaacaacacbbbbbccbbcbcccbccbabbacabaaacababccacccbbaccaabbcaccaaaacbacccababaaaabcbaaccaaabbabbbbacbbbcaabaaaaaacbacbbacccccaaababcaaaccbcbcacacbccabbaababbcbbbabbaaabaacabaabcabbcaababababaabaccccbbabbbbcccbaabcbcaaabbcaabccabbbabbbacbcbacacbbabcabacccacbbbcacbcacbabbacbacaaabaababcbccababbaabbbaccabbbccbaaacaaaccabcbbaccbcbaaacacbacaccbcccaacbccbbbccbcbabaabaabbbcacaccabcabcabacbcabacabbccaacccacacaabaabaacabcbbacababbcaacbbbbabcccacbcbcccbcccccbcbcbababccbabbbcbaabbcaabbbbcbabbcccccbaccaaaacbcaacbcbabbcbcbabcabcccbbaacaccccbbaaacccaaacaabccbcbaccbcbabcbaccbabbaaaaaaccbacbcabcccbcccabcbacacccbabacbbbacccbaccabbccbccbcabaaccaccbacacbccbaacbcacacccacbccaaaccaccbbacbacbaaaaacaaaacbbabababbbbaaaababbcbbaacbcbcbaccacaaabbacbcbcbaaabcbcbbbbccbccacbcaabccccbcacaabaccabaaacbacaabaaaabcacbaaaabbbaacabaacbcbabccccacacacaaabcbabccabbbbcaaaacacaacabbcbaaccbbccacaaccaaaaaccbbcabaccaaaacbccbbbbaacacbaabaccccaccaaaabcbcbcbabaaacaacaabcaaabcbaccbbabbbccabababcaccacaacaaabcccacaabccaabbbccabaacbababbbaaaaccabaaaacabbcabaccbbacbbaaaccbacabcccbcaabbcabcccbcccabaaacabccbcbbcbabcaacbccaababcaaaacbcaaccbcaababaccbbaabccbbaabcaaccbcbacacbabbbacbcbaaababcabccacaaaaabbbbaacababbaccaacabcacaacbaaacbcccabbacaabcacbabbacbcbaaabababbcbbaccbacccbbccbacaccbacaababbaaaaccbcbbbbaabacbbacbaacaabbcbbcbbcbbcbcabacabbbcaabacbaacccabcbbcbacccbcabacbacbbccaaaabaacacabcabbbaaabaccbaccaaabcaaacacbbbccaccccacbabbaaaaccaabcbbacacbacabbbbbababbaacabcbacabacaccbbacacbbaabacbcacacbaabbacabbcaaccabcbbacacacacacabaaabaabcbcccbbbabbbcbabcbbacabccbaaacababaababbbbcbabaabcbbaacccbacaabaccbcaaaccccbbacacaaccacbccbabaacaacccbccbbcbacbaabbaaaacabacaaacacaabacbcaaacabaacabcccaabccbbccaccbbaacbbccbbababaaababbcabbbbbacbbcbacbabbabbbaacbbbbbaccaaccbbccccccbacaacccabbaacbaabccbacabcabccbaaaaccccbaacbbabccbbbbcbbbbaaaaaabbccbccbaabacccaababcaabacbaaabcabacbbbbccbccacbcaaaaabaabcababcaabaacbcbbcccaabbccbabbbbbcacaaabcbbbbccacbaaccbbaaacbabbabacacbbbacabbcbabbcababacacacacabbaacaacacaacababababacaaabbcaaacccaaccbccacacaabcbbaccbcccbcacacbaccbabaababaacbaacaabbccbbbbbbacbbbbccabbcbcbcaaaacabbcccacccacbcbcbbbcbaccbcbccbcabcbcccbaabbcaccccaaacbaaabbcabbacbcbbccaacaacaabaccabbcccacbbacaacbbbcaaababcbcbcbaabcbcccbccbbccccaccccbacabbcaaabbabbcbacbcccaababbcbcbcbaabcabbacacaccccbcbbbacbcbbaacabbaabcaabbcccccaabacbbbbaccaaccababccccbaacbaacbcababcabccccacabbcabccaccbccabbabbacbcaacbcaaaacacccbcbbababbcbcbcaaabaccbbbccbacccccaabcacbacabbcabcbcbbcacacbacbccacabaaacbbabccbcbbacbccbcbbaacaacbcacacbaabbbabbacabbccbcabbcabacacacaccbaaccbcaacbacacaccaacabcacbccbccacbaaacaabaaaaabbbbbbacbaaccccacacbacbccbcccbbcbcbcabccbaabccabcbaabbbbbbcccacbbbcbcabccbbacbccccbbbcbcbcacaaabacaabaaaccbacabcbacbcaabbbcbbbacbbccaaaabbbbbccbacaabccaabcbbbcacbbccbbabcbabcccabbccbcbbcbccacccaabbcbbacacaabaabcbcaccbbabbcbacbbbcaaaabcaacbcbabacacbbbabcabacacbacbcbbaccabacacacabcbcaccbaabbbacbccbbacbbbabccbacaabaabcbaacbacaaccbccaabcaccacacacaacbccbcbabcbcbcacbbaccabcabaabaacabbbcacccbccbbbbacacccccbababcccbcbcabaaabbbabbbbaccabcabaacbccbaccbabccbbbbcaccabbabaaabcbcabbabbcccaacbcbbbaacbaaabbcbbabcabaacbacacaaabacaaaabaacbbaabaaababbbcbabcccaacbabaabbbaaacbcbbacacbaacabacbcabccccccbccacaccaccaaccbaccbbaaaaaccacbabcbbacabbabbbbbcbaaacbbbacabbbbccacbcaaacbbcbcacaaacbabaaaaababbbcaccbaabbbaacabacccabccbccbacbbaacbacbccccabcbcccbcbcccbccacccacbcaaabccabbccacabcbabaacbbbbaabaccaacabacababcbabcabaaacaacaacbacbbabbbcbbabbcabaaccacaacbababbaacccccacbcababacaacbcbacbcbabbbbbbbaabbbcbaacbcabbbcccaccccaabcabacaabbaaaaccbaaabaaabccbaabbcbbabcbcbbbbacccaaacbabaccacacacacacccbcaccbacaaccacbbacaccabcbbabcaacbcbbcabcabcbccbacbaababccaabbbccaacababaaaaabbcabcaaacbcaabccccccbabcbccbcaabbcaccbccbabcaaaccaababacbbbccccaabcaababacabbcccaabcbbccabbacabacbccbcabbababbacccccaacabbcabbabababcaccabccbcccbacccabccbaaabababaaaaccabaabccbbabbaaabbbbacaccbaccaabccaacaacccbbabbbbabacccbbcacbabacbabcbcbbaaaaababbbaaacbcbcababbaabbccaaaabcccbabbccbcacbcbabaccaccabcbaaaccacbbabbacbacbbabcabbbbcacbcacbcacbbbaabbbacaacacbbaacbbbabacaaaabcccaabccccbabbaccbbccccacabaaaabaacabbbcaccbcaaabccbcbcbcccccaacacccbcabbabcbbabbacacccccccccbcaabcacabbbabcbccbacccbcbbbcccbbcbbabcabcacbaacabbaaabcccbacaaabaacabbbbacaababbabccbccbbbbbbcbbcbcbbaaabbbcaaccaacbcbaccbacaaabcccaaaacccbaacbbabaacaacbbccbcaccbbcacbccacaccbaacabcbaaacccaabacbccbacababaaaabbacbbbccbaabbbbacbaaccaabbccbabcbcbbbcbbabbacbcaaaccccacbacbccabbcaabccaacccbaaacbacaccaacaababaacacbbcbaccbababaabccccacbbacabcccbcabbccbabcaabcbbcbcacbbbcbccbbbabbbcbacaabacccccacbbacbbcaaabbabcaaaabacaabcccbaaccbaabbabaacabacbbbcbccbaaabcaccacbabbcbbaaabcaccccababccacbacbbaabcbbcbaaabbcacbbaabababbacccaccaabbcbbbbabcbaccbbaaacababbacaaccbbacbabbcbcbccccbaababbbccbbbcbbbcbbbccabacbcbaabcccbaccacccccbabcbbacbabbcbbcaaacaaaacbacbbcbbcaccbcbcccabcaabbaaabacacbcbccababaabccaaabacbaaacaccabbabccabbaaabaaabbacbaacbbabaaaaaaaacaaccbbabbacccbbcaccbcbaacbabcaabbcacabcbcacbacaacbbaacbbccaacccbcaccbbbbaacacabaacccababaaaabcacbbbcbbbcbbcacabccbccbabbbbaaaacbacabccbabbaaabbccbccbaaabcbaabacbcabcbbccaacacaaccababbbccabbbbcabacccaacbcbaabaaacaacbacbcaccacababbcbbcabbbcbaacaccccccbbaacacbccccbababaacaabcccccacaaaabaacaabbcacabacbabbcabaaabcbcacbcccacaabbaabbbbaacccacbbccbbaacbcbabbacaaabbaacccbcabccaaccbacbccbbbaacccaccbcbaabbccbbbbacbaacbbbcccccabbaabcacacbcccaccabcabccacaabbcababcbabaabbacabbcacbbabaaaacacaccbbabbccbcabccbcbbaacbaaaabacacbacbacabbabcabaaccccbcabcabbaabbaabcaabbbbabababbbccaccbcabacbccaabcbcccaababcccbabbcbbaabaccbcaabacbbaacabcaaccbabbbcaaacaaccbccbcbbbbcccbcaccacaabaacacbcacbbacabbacbccabaabaaacbcccbaacaaabcbcaaccbbaaacabccaaababbcacbbacbccbcaacbcbccabcaaaabbaabaacababcacbccbccccaaabcccaaabcaccacaacacacaaaaabacccbcabaabacbbbcbbababbbcabbcbcbbbabbbcbbaaabccbabbbbccbbbcccccacccacccabbbcabcacbbcaaacabaaaccbabaaabbbcbabbbbabababbbcbaaabbaacaacbcaabbabaaaacbbabbccabacccabaacbbccbcbbbbabaccbacaabcacbccabcaaabcbbacccbccbbcacbabcbaabbccccbacbcbbccaaabbcbcbccbccbbababcaccaaabbaccacaaccbacbbbcabbcabcccbaaaccaabbbbacccbcbbcbacaacbcbcbaaaacbabcbbbabaaacbacbaabccaacbcacabcbacbbbaccabbabaccbcbbaacaacabbccbcbaccbabcaabaccbacbaccacacaccababccabacaacaaabcacabbbbbcbbabcbccacaaccbbaccabcbbcbaccccabcbabcbcbbbcbcbcbbbbbcabbbccbcbbabccababcbcbbabaacabacaacbcababaabbabaabbcbaccabccbacaabbcbcaacbababbccccbbcbaccacababccabcababccbaccacbccabcbaacbaaabcbcabcccbabcacbcbccaaaaaababcbccbcaacaabccbbbaaaabcabaaaabcbbbcbcbcabbcacaccaacabaacaacabbccacaabbcccacaccbcbabaaaacbbaacbbaacaabbcbcccbaaaccccbbacabbaabcabaaacaabccabbccbbcbbcaacbababbbabbccaacbbcabcbbacaaaaaccacccaccabaacbbbaacbbcbababcbaacbbcaabbaaaacbabccbbaaccbaababcacbaaacabbbcaccbbbbcbcabcbcacbbbbbbbcbcbcbaacaaabcccbcaccbcabaabaccabbacaccbcbacaaccbcaacccbbccacbcbababbacbccbaaccaacabacaabbbbbabcabbaaacbaabcacccaaccacabbbcccbcbaaacbacbaaaaaacbcaacbcbbcccbaccbbaababaaccabccbbccbbcacabcabacbbacabaacaccaaabcacccacbbcccababcbaacbbbaaabbbbabcaccabcccccaccbcbacccacaacbcababaacbcabcbbabccbbbbcbbbabcbbaaabababcacbbbbbacbaaaabccabbcaaaccababaccabbaacacccaabaaabbaaabcaccacbabacbcbbbcccacbbbccbacbccacacabbcabccbbbabccbbcacccaababcaabbcabaccbaaacbaabbccaabcbbcababacabbbbcbabbbcccbbcccaaabcccbccbbbbbbcaaccbababbabcccbcaaacaabbcbbcbabcbbacccaabbccaabccacbbababaacbaabbcbbbcacccbccbbbccaaccbbccabcabccaaacaaccaccacbbaccaccacbbbbbabacbcccbcaaaabbabccacbbaaaabbabcbcbaaccccccabbcbbbabccaaaabcacabcabbaaaaaaabcbbcacacaaccbccbccccccaaaaccbbacbaabbabababaccaabacabbbbbccbaacabbcbbbcacbaccbcbbbabbcacaccacaabacaaaaccaacbcbabcaccacbabbccacbcbaaaaabbbacaaabbbbbccbccaaabcaabcaacbcacccabacabbbbbabccbbcacbabacbccccaabbacaabbabbbbbabbbccccbbcccbcababaabbbbccbbcabbbcabbcbbaaccababaaaabbaabcbcbaccbaaaacaabcaccacccbcaacbabacccaaaaabacbacabbcbcccacabbbaacbcccaaabbbbcacbcbcaaaaaacbccacbbcbcbcbccbbbabbbcccccaacbbcbacabbaabbcbcbbcabbaacbcbaaccababbbcbacaaaacbccbcbbcccbbabbabbbcbccabbbbaabcbacacbcbaccbcccaacbaccccabccaabababbaabbcbbbacaabbacbaacbbacbaabaacbbacaaababbbccaaccbabbbabcbabcacbabaacbccacccccbaaababbabbcabcbbcacbabcbabbcabccbbaabbbbbcabbaaabccbcaccbaababbbcbacbabbbcaccccabaccbbbbababcaacbabcccbcbabacaabbcabacbaaaaccbbacacaabaccaaaaaaabbabaaacacaaaacbbccbabbbbaccaabcbcabaabaaabbcabbaaacabcaabbbcacbcbccbccccacbabbccccbbbbaaabccaaccbbcbcbcbabcbcbabbcccbbbbabbcabccaacbabcbabcaccacbcabaaccccccbccaacbaccabbbaaccaacabcaaababacbbacccbcbbcbacaabababcacbabaccacabbcbcbcbaaccabcbcbbbbbbccaabbcabcbcccbbaaccbbabcbaccbacacbcaccacaccacbcbabbccbbbcabccaaaacaabcbbbcaccccaaaaaacabbbacabaabbcacbccbbccacabaaabcbbcbcabcaababccbcbccaaccaacbbacbcaccbacbaacbabbaabbbcabcaacabbbacccaaaaccccabaaccacbccabbabcbacbcbcbbbaaabcbbbcbcabccccacbbacaccccabccccbcaccabcbcbaabccacbacababaccaacbbabbbaaccacbbbcabbcabaaacbbbcbccbbbccbbabcacbbbcacbbababaaaccccabaaabaaaaccbaacbcacabcacbaacacacbbbccbaabcccaaccbbccaabaaacccbcbbbacbcccaaabbbbcaacbcaaccbccccacaccabaaabccccbacbcbbcaabcbcbbaaccaabbbccbaaabbabcbcababacaabaacaaabaabbcbbacbbbaabcbccccccabaacccbabcabacaccabaacbabcabbcbbccaaacbaccaaabcbbcaaacacbaabcbcaaaacaccbbbbcacbccbcbaabcaacccccabbaaaaccbccbccbbcbacababacccbcacbaabbbcbcbcbbbaaccccacbcacabaaabcbaaaacacabbbcabbcabcbbbbabcabcacaccccbbabbbabbcaabcabcbbbbcaacbcbabaaabbbbbaacbbcbbbababacbcaaabcaacbcbaacaacbbbcabababcccababaaabbbbcccbcbcbccbcbcaabaabaacbbcbaabbbbcccabbcbcbaaccbcaabbbaacbcacbcbaacccbbcbabbaaccccbbbbbaaacbbacbacbbbbbbaccbacaabcabbacbcbaabcabbbcbacabacbabbabcacbabcbcabbaabbbbccccaabaaccabbbaacabaaaccbabbbcabccacaccbaabaacbbabbcbcaabbaccababacccbaaaacaabcccccaaaacccbcbabbaacacaaabccaaababcbcbabbacabaabbacaaaabbcabccabbbabbbbbacbbabababacccccbccbacbbcbbacccababcabccbbabcbacbbaacabbbbaaababcaaacaaaccaaccabbacbabccbbcaacccacccbbcbaabcaaabbacbcbbacccacabaaccacbcbbbbacabbccacacacabbcbaabacbbcccabbabbcbcccbcaacbccbacbaaacaabaacbbbcbabccbbaabbabbaacbcbbcacbbbccacabbcaaccabaaabcbacccccbcaccaccccacabaccccaaacaaccbbccbbbabccbaacacaaacacacacaccbabaccccbabcabacabcbcbccabbcbcbccaccccbccbcacacbbabbcbabbabaaccbcbccbbabcbbaaccbbaaacbacbbacbbcbcbccaacababbccabbbcbcaaaccbbaacabacaabcabbcbbcaccaccaaacbcbabacabcbcaccbcbabcbaaabccbabcbcaaaccabbacaacabacbbaaacbccacabbaacbbacaaacbbcbaaacaabaacabccbacaccbabcbcabbaaabbbacbabbcbbbaabccacbaaacacaacaaaacaccbabbaccabcccbbacccbbaabbabbbacbcaccaabaabcabbbcbbccbbbbbbabaaabbbaabcbabcbcacbbaabcccaaacccaaaacccbabaabcccacacacabaccbacbcccabbbbcbacacacabbbbcaccacaaacaababbacbbcaaabcaccccbbacbcacbcccbacacbccccaacabbabbabcabaaabccabccccbabccaaccccaabbbaacccccabcaacaacccaacbbabccccabcaababccbcacabcccbabaccbaaaaabbbcaabcacccabbbbabaccabacacacccccabcacabccbccbbbabccbccacbccbabababaacbabbaabcbccbbbacaaaacacccccacacbbbaaabacabbaacccccbacccbbaccacbabcbbcbacbacbbcacbabbabbacbcaaacbacacbbabbbcbbcacacbbabacaccbcaaccabcbcbbabbaabcbcbcacacbcccabbabbaabbbabbcabbcaababcacbbcacaaaacacbbbbcbbacbacccabbbbcbbcacabccbabacbccbbccbcbbcbbbbcccbbabcacbabcaccccaabbcbbabacbcbbabccbbcacabbcbacbccbbabbbbcccccccbacbaaccccaccbbacacacbccbcaabaaacacccacabcaabcbbbccccbbacbbacccccaaccaccccabcbaaccabaaccacbbbaabbaabcbccbabaaaccbaccbabccaacbacaacccbbbabbcaacabacbaccccbabbaccbabccbcbbcccccccbbaacbbbaaccacbbbccbcbcbbbbcbccbacbbbacacbcbbbaacbacbcbacbbcaaabbabbbccbabaababbabcbbbcccabbbabcabbbcbbcccaabbcbcbbbbcabcbbccccabcabbbbacaaabbacccbabcaccbabcbcabaabcaabbcccacbacccbccbbbbaaabaaacbabccababbccbabbabacabaaaacbccccbaaacaccbcbaaaccbaaacaaabbccaaaccaaccbccbacaacacbbaccaacacabcbcccbbacccbabcacbccabbbbbbcabbbacbbcaacbbbbaabcacabcabbaababbbbcccbbabacaaacbbbcacacccbacccccbcabcbbaccacacccbbaacaaabccaccbbbcbcbcbaaccaaabbbcbabbcbbabcaacccaabbaaaaabcbcccbcbcbbcaccbbbabbbcccccababbbbabaacaccbaacbacbcccaaccbabcaacbaccbabaacbacabaabacbccccbcbaaabbcbccaccaacababbcbcabacbcabacbbacaccbbbccbbbbbbcabaacbbbbbacacacccabbbcaabbbaabcabaabbbabcbaaaaaacaaacbaacbbbaabbbbbbaccbcbcabbaacabcbbbabcbacabcacaaabaaacbaaccbcacabcaacaccccacbbbbacababbbccbacbbccbccbbbccacacbaabacbaabbaabcacbcaacaccbcaaccabababacaaacbcbababcabacabbbbbccaaacbbbacbbaabaabbbbccbabacbccccbacbbbccabbbcabbbcaabaabcacbcaabcabaacaaccabbcbcaaabaaccbabcaaabbcbccccbbaccbacacbcabcbcbcaacbbaacccabbabbcccbccbbbaabacaccaaccabbaacccbbcbbababababbacccbacbabaccbbbbbcaacbcabcbcbcabbacaacaccbbbcccabcaccacbcbbaaaaabbacbbaaaabbaabbbcbbccccacabbaacbabcababbbababbabaaaababcbcaaaacbaabaababcbbacacbabaccbaccbcccbbbccaabcbbcaaabbaacbcaabcccccababaaaacabacbcaaabbbbabccacccbabbacabbabccaacbacaacbbbacabaccbbcbabcaccbacabbbacbaccbaccbcabccbcacbbacbccaaaacaaccaaaabcbbbbbacbbccacabccbabcbcabaaccccbbacbccbcaababcaaababbbccbcabbacbababcabbaccbbbaabaacbbcabcbcacabbaccaccccbccbcbcbabccabcaccbbcccbaaacabbcaaacabbabcccbababbaacbbaaacaabcacaabcbcbaabaababbbcccabcacbaacbaacaccbacbaabbaacaabcbcaaabacbaabcacabcaaaababccbacacaccbbaaaabbcbaabbbababacbacbcbabcbaaabbacaaccbcacbcabcbcacbabbcbcaabcbacaccaaccccacbbcaccbacbbbccccabcbbaccbbacccaacbbcaaccaaabccbbcabcbccabcbabcccbabccbbabbbcabcccbbcaccccabccbcccccacaccbcbaccbabaacacccacabccbbcbbcbbcbbacbccbacaacbacbbbbbbcaabaacccaaccabcbcccbababcccbacbbcaacbcbbccacbacccaccbcaabbacbcaacaaccaaacaacaccbabbbcbababccbbababacabaacacbabaaaabbbbbaaaacaaccbbabcaaaabacbcbaabccabcbacabaccababbbaccbbbccaaaccccbcbbcacbabcbabcaccaaacbacccbbacabcaabaccccaaabbbabbaaccaaaccbacabbcbbcccbccaabbcbccaccbcccaabccbbacabcaccbaababccccabbacbbaacaccbabbccacabbcbaacbccacacbaccabcacbbaccaabccaabcbccaaacbbbbcbbccbbbcabbbbbcbcbccccbbabacabcbaabcabcacbcbabaacbbccbcacbacbbabbbbaacbbabbabaaaaccabbbababcbbaccacacbccbaacabbccbccccbcabaccaccabbbaabbccabcbbcccaaaabbbaaabbbaaccbaaaacabbbbbccaccacaaccacbacbcababcbabccbcabacbabcccbbccabbcaccbabbbcbbbcbabbcccbaaacacacacabcccaaacbaacbbbbbcabacbacccabaacbabaacbbbacabaccacbcabbcbbcbcaaaccacbbaaaccacacbccbacaacacabcacaccccaabbbabbcaaaccaccaacacacaabacacbcaccbcbcbaacccabbbcabacabccaabbccccbccbccaacbbacbcbcacbcbbccabbacacbcbbcaccbccccbbcbacccbbbbccbccaaabbaaaccacbacababcbbacbbbcccacaabcbcccaabcbaccbcabccbaaaabbacccabbbcaabbbccbbabbccbbaacabccabccbcacaaaabbacbaccbaacbabbcacbaabbbbcabbcabbbbbaabccbbbbabaccbbaacccabcbcabaaaacccabbbbbaaacbcacbbaaacbccabccbabcbaabbaaaaabbcaccacabcbbaacabbcabbcbaaaaccbbacbbbabaaacabcbababaabacbbabaabcbaaccbabaaaabccaababacbbacaccacacbaccababacbbaaaccacccabbaccbacbcbaacbbcbabbbbabbbcaacbcaccaacabacbcbbaaacbbbcababbbbabacabbbbbcbabbbccbacabbaaacbbcccccbaabababaaaacaaccacabcbaacbcacbbcabbaacabbacaccbabbabccccabcaabccbcbaccbcabccaccccbcbcbcccacabcabccabacbcbacbbbacbcaccbcabbcabbabaaabaacababbababaacbaaabcbbacabbabcbaabbabcbbbbaaabaabbbbbbcbcccaacccbbbbbccaaacbbcaaccbaaaccbaabaaabcbaabbbacaabcaacabaabbbbabbcbabbbcaacbcbbcaabbcbababcacaabcbbaacabbbccccaccaaabcbcbbcbaaabaaabbcbcacbbbbcbbbaabcbbaaccaacaaccacbbaacccaaccbbacbbccaccbaaaaaaaaaaacbbcccaaaabbcbbccbbabbaacaaccccbbcaaabbbaccbbccbbccbbbcbaaabbccbcabcbaaacabbbaacabacabacacabbcccbacabbbbbbabbbcccbcccccaabcbbccacbcaccaabbcccbcbcaccbbaaccacbccbcbabbcbbcbcababacaacbabbabaabacccbaaccacacbabaccaacaaabcabacabcccaacacacacabaaccabccbaababcabbbaababacbcbbbbabcaaccbbbcacbbababcbcccabcccabbbaaaaaacacaabcaaaccaacbccaacccbabcaaccaabbcbbbaaaccbaaabbcccccabccabbbaacaaaacbcabbbbaaaaabacbaaacbccbccccbbacbaabbcbbaabcabbcabbccacbaabacbacbacaacccbbbcaaabaacbacccbcacbbaaccaccbcaaabcbcbcbcbccbbaccbbcbcbbccbabbcbcbbbbbcbbcccbbbbbacbabbbbcabbaaabacbabbbaaacccbcaccacbcabacacaaccbbbaabbaccbcbabccccacaaacccbaaabccbbabcbbccacaaabbaacaaacbcbccccacbbcacaaabcabcaccacbbabbcbbbabbccabbabbaaacbaaaacacccbcbbbcaaaaabbaaccbabccbccaabaaabaccacbbababbacacacaacbaacaacbabcbacccbbcabacaacbbccabbbbaacabccbaccbccbcbabcbbbaabacbabcacbccbccbccbacaacbcbccbccbcccccbcaabcccaacbcaabacaaabccbcbcabbcaacccbabbbbcaabcacccabbacbaabbcaacbcbabcaaacaabcbbaabcaaccacacbbababcbcacacbcaccbbcccacbbacbaabccaaaabacbaabccbbacbacbccaabbabaaaacccbcbabbaaabcbbbbcaacaaacbbaabaabcbcbbbccbbababbbccbcbbbcbbbcaacbbbcbabcacbacbbbcbbabbbccaacbacabccabccbacbbaacbbacabbbccccbbbccaccccaccabcbcaaaccacbbcababbcbcabaccabbacaacbbbcbbcaaabaccabcccaaacbcbcbbcbcccaaaaacabaabcaabbcbbaccaaccabaacbabcacaabcabcbabcabbcccbabacbabcbcacbbccabbcbbcaabbacbcaacabcaabccbbbcacccaaaacbbcccacbabccbbbabcbcbbcbbbaabaabcbbbcbcbacbccbbbcabcbacbcbabccccbcbcbccbbcbbcabcbcabbccbbbacccbaaabacbbaccccbcacccabcaacbbababacbaabbbbbaccbcccabaaaabaaaabbcbbbbacbaaacaacbbcbacaccccacbcbbbbbbcccccccbccaaabccabcaaaccbacaaabbccacccabbaaccbbcaaabcbcbbcaabaccabaaabcaaacabcabaaccbcccabcbbabbbaacacbbbcbabaabababcbaabacabbcbcbcbbaccbacbacbcccacbabcabcaccbacccccccabbbbacbbcabcacabbbaabccbcbbaaabbbcbabacccccbbcbbcbbacbbbaacabbbcbbbbabcaacabacbbbbbccabbbbcbbaabacacabaaccbacaaaaabccabbcbcbabcccbcaaccaabccbaabbabbaacbbcccbabbbaccbabbababbababcabbcbaabccaaababbbbcbbbbbacccaabbbbbcaaaabccaaacbaabbbcccccabcacbcbbcabacacbccbaaccabcbaacbcccbbaaacabbcbcccbbacbaaabaaacabbbbcbcaabacccbbcabcbcbabacbccaccbbbbcaabcacbbbaabcbcbbbbbacccacabacaaabababacacbbbcaabbcbbacbbbcabacaacaccabcccabacccaabccabcabacabaccacaaccaccbbaaccbabcaaaaabcabaaaabccccbcabcaababccbabcaabbccbcaaaccaaabaccbaaccbccabcbaabaacaaaacbcabcaccaacabababbabbcaccccbbbaacabbaacbbbcacbbacaccbccccacabbacacabbaaaccabbbaaccbbbcacbababbbbabcbcabbbaabaaccaccbcaacbcabacaaaabacbccbaccabaccccaccbcabaaaaabaaccbaabbbacbccbcbaabaaaacabcaaaaaabacbbccbbacbbbccacbcbaccbcabccaacccabccccccbbbabcccccacbbaccbaaabbbcaabbabbccccacccccabbabbbaabbabbcabbccccabccacccababacacaacacccacbabacccabcbccbbcaccaaaabbbbbcbaacbcbabcabbbbaaacabacabcbbacaacbaaccbabbbacccacbababacbbbabcabcaccaaabbcbabbbcccacaaccaacccbababaaaacbbacabcabcbbabcbabababbaccbbabbbcbcacaabaaaacaaacabaccaabcbcacccbacaabbbcbacbabbbbbacbaaaabccccabbbaacbcbabcbaabccabcbcacccbbacaabcabababccaaacabccabbacacaabbcbabbbacccbbbcbcbbbcbbaabcbacbbccbacacaaaabbcabbbccaccbbbcccbbaabbcbbbbaabcbcbabbcaaaccacbcccbcbaccbaacababbbccccbaacaccacbbaccbcaaabacabbbbccbccccccacbbcbcbcaaabcacaabcbabcacccacbbcacbbcaacaccabaaaabccaacabbbaccabaaacacccbaacaccbbaaacbbaabaabbbbcbbabbbaacbbbaaabcbcabcbbbabaaccccaccababbbaacccaabbaccaacabaaaacbcbbacacbacccccabccbaaccccbbaaabbacbaacabccbaccaacaaacbbbaaaabbbbcaabacbcbbcacccbbabcaacccacabcccbcabcabbcbcccbbaaacbcacbabbabcabbbbbcabbbbcaacaabacbccccacbacaabbbacaabcbcbcabbabacccbbbbabaabcaccccacaababbbacabcccacbcaccacbcbbacaccbaabbccacbcccccbacaacabacaabbbcbabbabccaccabbbaabacabbabbccbbcccbbbccbcacabaaababaabacbcbccababacbabbcccbbcacaaaabbbbbbbabaacbcbcabcbaabccaaccccaacbcbaabcabcbcacacaabcabbbbabaccbcacacccbbaacacbabbbcccaabaaccacbaacacbaabcccbaaaccaabbcacabcbccbccaaaacbcccabcbbaaaccaacababbccbacaccbcbbaaccaabcaaabaacbabbcbbbcbacaccbabbbbabbcaccacaacaabacbcbacbabbbccbbabbaabcbaacbcccbabbcccbaaacbbaabacbbcbbaabccbbbbbbbaabaccbbaacabbaabbcaaacbbcbccacaaccbcccbaabcacbabbccbcbcbbcbcbcbaaabacbbbbaaabbacbcaaaabbbcbbcabccabbabbccccbccabcbbcaccbcbccbcbcacbccabbabbcccabcccaccbacbbacababcbacbccbbaabcaaabacacacacaaacccacabacaccacacaccabcaacccabcaccabcbbcccabbbacbccbccaacbcaccabcaacacbacabaacbabacabbbbabccbaabcbaababbccbbabbbcccbcacbcabaabbcabbbbaacacacacbaaccbccbcbcabbcccbbacbcacccbccbcbcaccbccbacaabcbabbbcbbcbaacaaaaaaaabaccbbccbbccaaacccacabbaccbabaaaacaaaaacbcabaaaabbbaccabaabcacbccacbababcccacbcbbcacaacbabacccccaacccbcbccabbaaaaccccbccabcbabbcbbcacaaaabbcbbbaaabbccacbaacbbbbbababcbabacbabacaabcaaabbcaacacccbcacccbcbacbccabbbcbbabcbbbcccaabccacbbcabaabbbabbbcbcbcaccacbcbcabbbacbbaaccbbbababcababaaaacbacacabcabcacbaacbaabcabbacaaaaccacbaccbaacccbcbbacaacbbaccbccbaccaacbbacabcbcaacccbbcbbbcabacacaabbbbbcccbbbabcbbccbcbaaabcbacabbbbcbbbabcacabcccbbcbcbacacaababaaccacbaaaccbbcbbabbcaaacabcaacbcccacaccaabaccaabaccccbacccbccbaabcbccbcaacaacaabcabccacacbaccbababcabbabbcbcccaabcaababaacccbacabacabcabbbcbbaaccaabbcaacccbcbcacaaaaacbaabacbcacccbacacbcccacbbcbbaaaaccbbababccbcccbacccbbaaabacabcccccaccbbacabbccccaccccbbcccbccbcaabbabbaaccaacbaaacbcabccbabacbbabaaccbacccbcabcbccccacaacaabacaaabaaccbababaacaacccbccabbcbcccaaaccabacbcacbcaabacacabaaababbcbacbcacbbbcbbccbbacbccaaccbcccbcababcacacaababbcbabacbabbaccbaaccbacabcbaaacbaabaaabaacbaaacaabbccabbccaaabbacccabacabcbcaaabcbcbcbcacbcbaaaabbacbcbaaacacbccabbccaaabaacbbbccbaababccabbabbaccbaaabccbcabbcbbbcacccbaaacbcabbbbccbccccbcccacccbabaabcbcacaacaccbabcaabcbaccbacbabacaaabbccbacbcabbcaaaaabbbaaabaccbccbaabbacbbaacbabccbbaabbcbcbbccbccccabccabaaacbacabbabbbcbcccababbcbcbbbcabaacacbababaacacabccaacaabbaaaacccccbabaabcacabacbcbaabacacababbaaabacacbbcbcbcbbcaacbaaccaacbcaccbbbabcaacacabbcbbccbacacacbcabcbccbabbaabaabccaccbaaccbccbbcbcabccbbbacacacbcccbbcacbbaabcbbcbcacbbcaabaccabbcaacbacacbbcaccbcbbcbbcbabbccabbcacbccbcabacabbaacacabbcacabccaacccacccccccabccaabccaabbbcbaccbbbbbacabbcbcabacbccbcbbacaaaabacaccacbbaacacbbacccbbacbccbacbcbcacaccaaaacccccbcaaccababacacbbbbccabacbbcccbcabcbbcaacabcccabcabaacbaabbcbbcbabbcccaaccbcccbcbbaaccbaaabbcaacccbacbbabcacbbbacabaacaaccabcabaacbabbbcbaaaabbaabbcbbcabcacbabaacacbbccccaacbcbcbbcbcababccabbbacbbbbabccbcbcaccabbabbacbcbccabbcaabcccbcacbaccbbbaabccbccbccbccabcccaccbbcacacaccacababaccbcabbcbababbbcbbabcacbacbcbaacaccacaaccbbacababcbbbbbacbabbabcbcabbbbaaabbccccbaabcaabcbbcbcaacccabbbccabcbccacbbccabcccaabcbacbbcaaccbcaccccaccbbbbabaaabbaccacbcaaaccccbabbbbabcccbcacbcbccacbccaacbbacaccbcbcbabacaabcbccabccaabcbcbbccacbaabacaaaabaaababbcababcabababccaaaabaabbcbacacabacbcaaaaccbcbcbbbbbacbcccccccaaccaabacaccbcaaccbacccbabbbabbabcccbcccccbaccbcbabbcbcbcbbaacccaccaabcacbbcabbacccbcaaabccbbbccabaacbaacbcbcbaaabcacabababbbbcbbbcaccbcaccbcbaaabbabbacabbbbbbcbccacbaaabbccbbcacacbabaabcbabbacbcabbaababaacccbccaaaabccacbcccacccbcbaaacbbbccbcabbbbabbaaabcccccbbcbcacacbacaacacabcbbccaaabbaaccbcaaaacabbbccacacccbbbacaabbbacaaabcaababbaabbcbcbbccacabbbbccabcbcbbcaccbbbaababbaacccccaaacaaaabbbbcccacbcbbbcbbbaaaabaaacbbcbbaaabcaccaaacbaaccbcabcabbccabacbcbaabcaabaccbcacabacabbbcbcaccaccbaababcbbbabacbccacbabcabccaacbabbbbbbabacabbbbaacacababaabaabcbbcaacbaabacaccbbcaaaaacaacbacbaccaccaabcbacabcbbbabcbaacbbbbbccaccaaabbbbabacaaacbbaacbacbbccbcbaabccaccbacbcaaaaccccbabbbaaaaaacbabbaccbcacbabbaabaabbacbbabcbbacbbaababbaaaaaccaaacaaacccbcbbcbcbbabbaaacbccccbbbcaaccccbaaabcacbbbababbacbaccaccbcbcbbcccccbbacbcccabcabbbbbbabcbcacaacccbabaaaabcaabbabbabcaacaacacaacbcabacbbaabcccbabcabbccccccbabcccacbcbcbaaaaabcccacacccbcbabbccabacbbbccabccbbabacbacbbacbcaaabaccacacaabcabccacacabbaccabbccccacaacacccabbaaaaabbcabccbbbaabcbccbccbbabccccbacccbcbababcbcababaabccaaccbbbacbbbbbbcbcccbccacabccaabaaccbabacbcbbcbabbaacbaaacbabbbababbbabcacbccabbbabacaacbacbcbabbacbcaccaacccacbbccacacaccbcbcbccbcbcbcccaaccbbbcccbaccacacbbcaccaabcccbcabcbbcabaccabbcbcbbccbbcbacabcbccabcabbbaabbbbcbacacacccbcaacbbcbacaabccbcaaacabcbcccaabaabbbcabbaabbaaaabcbbacbaabccbabcacacbbaabbcccbbccbabaaccbaabbcaccbccbbababcbababbbaacbbccbcabccbbabbcabcabbabacaacbbcbccbbcacaaccabcabcaccbccbcbcabbcabaccbacabcabbcbacabcaaabbaacabbbabcbaccccabccbbcaccaccbbabaacbbacababbbcaabccccccaabababbbccccccbacbacabcaabaacbabaacbccbcabccaabcacabacaabacbabcbabbbccabbbbbcccacacbaccbacabbbcbaaaabcbcacbcbaacbcaccaccbabbacaabcaacababccbacaccaaccaabcabbaaabbaccbabcaaabcaaaacaaccccbcbacccababbbbbccccbbacccaccbbaccbcabcbcacaabaabaaccabcbbbacbaacbcabbaccbcaaaccaabbaabbbccbbbbccbcbcbacabbabbbcabaacabbaabccbcccbaacaabacacccbcccbcaaacaacccccacccababbcbcacacaabbcbaabaabbbbbbabbbcaccccabcaaaacaccaabccccccaabcbabbaaccaaaccbcbacabcabccaccaaacbbcbabbbacaaabcacacabaccaaaababcccbbbaacbbabaaacbaabbcaaaababcbccabbbccabcbabcacccbbcacaacbbabbbcbccbbcbcaabcabcabacabbbabaaaabbccababbbbabbcbacaaccbabccbcbcbbbacacabbccbabaccbaacbaacccabcbababaccacacaabaabbaccbbcaccabacaacbaacaabbbccaaaccabaaaaaabacaccbbcbaccccbccbcbcaaccabccaacbcabbcccccbbbccbcbbbcbbbabbcccbcccababccccccccbcbbbbaacbcccabacbccaabababbbbbaabacbabcaaacbbbaaabcabcaaacbaccbbbbbaabbccbbaacaacccbabcabbbcccbabaacacaaabccaaccbcabbbbbcabcbcbbbcbacccbacbaaccacccaabccacbaaacaaaacaacacaaacacacbcbaacabbaacccaabccaaacbcbccbaccaacacbcbcacacaccccaccabcbcccbcaacbccbbaabccbaabaaaabbbccababcaccbacccbbbabbaaabaccabaabcacccacbaacbcaacbcbaccccbaabcbacbbaccbcbccbcbacaccabbccacccabcababbaaabbccccabcbabccccaabcabcbcaaaaaaacacbbcbbbcbaaaacabbaabacacbbabbccaacaabccabbaaaabbbbbcccaaabbacacbbabcaabacbabbacacbaccacbaaabcacbbbaccbabaccabcbaacaacbbbcabbcbbbbbabaaabcabacccbbcaabcbcbccbaabbbacabbabbcbccbccaabcbbacbabbcccaacbbcbccabcbbcabbcabaccacaabcbccbaccbbcabaaccbaabaacbcacabcbacbcaccabbcbbcacbbbacbaacccccbaacbcbacacacbccaabcaabaabacabcccbcaaaacaaaabbcbbcbbbcaaccbcbacabcbbabbbbacacbabbcaaaccacbaacabbaccacaabccabbabbbacbacbcbccaacbcacaaccbaccabcccaaccbaccbabccbbbccacbccbccaaaabcaaaccbaacbbbcbbbcccbabbaacbbcbabbabbbabcbbacbccbbabbaacaacbabbbacababaacbbcabbcbcabcbbabbcaccacabcccaaaccbccacaabbcabbacacaaacbabcbaaccababaaaaaccbccccbcacaacabbcacacccccccabcacccbbbaabcbcccabbbcaabbabbcaabbbcbabbcccbbccaaacbbbbabbbcccbbbaabcccaaaaccbcaaacbabcbabaccbbaccbccbccccccbaabbcaaccbacbcccaabbaaacbcbbbbacbcbccbaaccacbcccacaaacbccbbcaccbaaacabcabbbaaaaabcbbcbbbccabaabaaaabcabbaaacabbbaabcccaccabcacbbbbcacaacabcccaabacaccaacbccbabbabccccabbbaccaaacaaabbbbabbcbacbcacbbabcbbabaabbacacabcaabaacbccbccbaacaabcbccbbbcbbabacaabcccbbacbccabaccbacacacbbbcabacabbbbcbaacabaaacababcbbccaabcaaabbacaabcbbcacccbbacbcbcbbbaacacbbbaccacacbbbaccccbacccaaabaacacbaabacbccababacabcaaaaaaabbcccbacaaaacbccbaaabcaacaccbaccacabacabaacacabcbabcbcabccacaaccabacababcbbbabbbabcccabbbacabccbaaaaaaabcbbccababccabaccbccbaaaababcbbcbbbcaabaccbacaabcbbbbbaccbaacbcacaaacccaacbacbaacaaccbbbcbacbacbbccbaaabccbccaaacbaabaacbbbbbabbabbcacabbbaaacacbaacbabccbbcabcbacccaacbcbcaccacbacbccacbccabaaaaccaabbccbbccccabbacaaccaaacbacabccabacaabcacabbbbcacccbbbbbaabcbaacbbbcacbacbabcacabcbcbaaacbbbbbcbcacbcbbacaacbbbcbcababbbbcbababacbcbacaabbcbcccccaacbcbacaaccbcbabcacbabacbcccacbbabbaccaabbbabaaacbbcbabbcaacacabbaacabbbbbabcccccbcbaaacaaabbaaccbcacaacccbbaacacccabbbababaacabbabcabbbcababbcabaacbabccabbacbbaabacbaabcccbbbccaacaacabccbbacccbacaccccbcbbcacccaacbcabcbccaabccaaaaaccbcbaccacbccbbbbaaaacabbccbcbbbbcbbcbbcacbcccaaacaccbbcacaccacaabaabbabbccbcacccbacbbabaccccbcabcabcaabcbbacbbbcaaacaacaacbbccaccabacbcacbccbaaabccbbbaaacabacaacbbabbbccacbcacbccabbcabbbbcacabaaabacbccbaaaaaaacccbacabcbbabcacccaacbcaaccaaccbbaaccbbbcbaaaaccacababaaccbaaabbccbccccacccaabccccbcbbacbaabbbabccbacacccbcacbcacbacccbcaacbbbabcaaccbcaabcbabacccaacabbcacccccaccababbacaaaaabaccacababcbbabbabbcbcbbcaaabccbabbaaaacbbacbabaacaacaacababbacbaaaaabbbaaabbacabbbbacabbbcabaacaccbabaabbccccacabbacbbccbbcbcacccaabcbbabccabcccbcbccbcbaabbcaaccaccaacbcacbabbcbcbcbbabbcaabcbbacbcccccaabcabaccbbaabccccbccaccaaccaabcbcbbbaabcbbbacccbaabcbbbbbaccbbcbaccaabacabccabcccbbcbaacccbabbccaabcabccccbccababcabaacbcbbccbcbcabcacaaabcbbaccaaccbaacabaabaccaccacbbbbbbacbaccccbbbacbcbbccabacaccccccbbaaacbcbcabcbaaabbbbbbaacbcbcbcabccaaacacacbbabbacabbaccaabcccccccbbaacccabaabacbbbcacccaabbbccabaaccacccccbcccbbabbcabbbbcaabcbacacaccccbbbbccbacaaabcaabbcbcacbbcccabacacbbabacaabcbbbbacacacbbbbbaccbaccbcccbbbbaacbaccccbbacacccbbbaacbbbbbabaaaacaccacaccbbbccbbbaabbcbabaabcbcaaabcacacbbbacbcbababcbaaacaacacbbcccbacbacabbabacbaacbacbccccbcbcbabbbbbacbbccbacccbbcabaccacbbacbcccccbcbacccbcaabbcbacbcbabbaababcbacbababbbabcacbbbacabcbcbcacccabacabbaaacbaacccccacccbababacccbbccaabbababbabcaabaaacbaccbcbcaabcacbabbcaababbbacbbaccabcabbbbaaabcbabbbcbcccaccaccabccacabcbcbbbabcababaabbccccabcacbbbbabaacabcbbaaacaababcbbbaaacbbaaaaccbcaabcbbaaaabcababbcacacaaabbabaaabccbbacbbbbbccbcbbaaaccbbabbabaababcccbccccbbbacccbbabacbbaabbcccacbaaabccbbbbabcccccccbcaccbaaaaaaaabbbabaccbbcaacccabbccbcbabcbabbbccacabbcccbcbacababccbcacabaabbbcaaacbbbbabaaababbababaccaabbacacbbcbabaacbacaaabbabccaaabbbbcbcbbcababcaacccaacacbcaaaabbbcccaaabaaacaaacbbbabbbcbbabacaaccbbabbbbacabbbbbbcccbacaaababbbbcbcbcaaaaccbccaabcbbaaabaabcccaabccbcbaaacccababbbcacbabaabcacabcaacacbcacaabcacbcaccaacbcbbccbcccbcbccbcaaaacbaabbabbccbcbcccabaaaabbacaabccbbaccaababbabccbaccbbabbbbabbbccaabbbbccbcbccccaabaabccccbbaacacccaaccbabbacbccacabbbabbbbcabbbcbbcbcbccabbcbbaabbcbbaaacbbbcaaabaaccbccaacaccaacbccbbbbaacbbabcbbaabaaabbcccbacabcabacaaccbcacacbbacccbcccaabcccabbaaaacaaaaccccabacaccaabcccacaaababbcabcaaabbcbbbacaaacbaabcccacbbbbccbbbabbcbcacabccacbcbbacabcbaabcbbabbaaacbbbaacbacaccbabccaabcabbaccacabaacabaabccaabbaccbbaabbcbacccbbacacbaacccbaaacbabaaccccacbcababccbababacbbcabacacbcccbaacabaabacbcbabaabcabaaacccacaaccbaaccccccbccbbbabcaccbbcccacaabbaccbbbaabccaaccbabaacacabcbbcbbcabbaabbccbababaabacccbababbcbaacbcccbcbabbccbacccbcbcbccbcccacaaabcbaacabbcbaabbaacacaaaacbbabacacbbaccabbbbccbcbcbbbcbacaacbcacccbbccaabbccacaacacbbabcacaacccbacaacbcccaaabbaabbbbabbcbbcaacccccbbbaabababbcabcaccabcaaaacaabccbbcbbacaacbbbacbcababcccabccabcbcacbccaabcbababbbcccaaabcaacbaaacbcaccabccabaccababacabcbabacaabbccbcaccacacbcabbcbbbbcabbabbbbbbbccbbcaccabaccccccaabaaccbcabbbbbcabcbbcabcbbccabaccbcabcabbacbcbbababaccbabacabbabbcaaaccacaccbaaccbbccbcccacbcbaacbaabbcbaababbabaacbaccbbaaabcabccbabcacccbcbbbcbcbacababbccabbacccbbaacbbbbabcbacbabababcbbaabaccbcbabccacacaacbcbbcacccccbcbccbbabaaacabcacbaacacbacbcbbbabacbcbcacbbbaccbaccacacacbababcacabaaaccaacbbbbcbcbcabbbbabbcabcccaacbcacabbcbcabcabaaaabacbaccaaccabacbcccacabbbbbccababbccacccccabbaacbbccbacbcaabccaaccbbccbacbbabbcbcabaaaaccbcbabccbaaabcbcbbaccacbcaacbabaabbbcaaacaccacaabbcbabbcacbacaacabaccababababcbbccbcbcabcacbabbacacbcbbcccbaccccbcbbabcaacbabcbaccacbbbaaacabcaacabbabbbacaaabbcbccbacaaacacbcacaaabcaaacaacbabccabcacbcacbbccccbacccbcbaacbbaaccbacbbbbbbcabaababacacaaaacabcbbabaabcbbcaaaccaacbbacbcbbcccbababcbacabbcbcabcbacaaacbabccaaaacabcbcbacccbaabbcbbbccbcbbbaccbcaaabccabbaacaabbababbaaabccabcbabbbbbccaccccbccaaacccbbbabbaccbcccbbcaacbabcaababaccababcbabccaaabbaabcbccbccabccaabacabbbcbcaabbcaccacabaabbcaabcbabacabbaaccaabcccbabbabaaaaaabbccbbcbcaabccaacaacabbcabbabacbbbabbaaaaccbcabcaaaaaacbcaccccabbacacabaacbbabccabacbcbbabcbacbbacccabacacbbbaabcbabbbbcbacaccccccccaaaabcbaacacaacbacaabcaacaabacbbaaabcccabbabcccabcbaacbcaccccbcaccbccacbacbbacaabcaaabcacccacbcacaaaabbbcabaaaaacacbcaaaabbcbabaacacbbcbcbbbcbacbaabcaaacbbcacacbccbbcbacbccbbacbcaacabbbbccaabbbcaccbaacabaabbabaacabccaababbcbabaaabcababcccaaccbbbaacbbcccbccbbabccccaaaaabbcbabcabacacbbbcccccbaccbccacabacbaacbaacbbaaabccacccbbcacaccaaaaaabbcacbbbbbcaacccacaaccbaaabcacbacaccacabaaccabbcbbacbcbcbcbacabbabcbbbaccccaabcbacccccaabbcaabbabbaabbcbaaacbcaccccabababcbbcbabbcbcabcabacccaacaaabcbabcbbbbcbbcbbbbbbccabacccbcbcbabbaabacaaaccbcccacbabaaaaccbcccbbacaacaacaaccbaabbcabaabbbcaaabbcbbacbcbbbaaccbbcaabbbbaaabaacbbaabbacaaccacacbaccccccccacaacaabbcabaacbbcbabbbbcacacbbbaaabbcbbcccaabcbcaccabaaaaabbabcabbbacacbbaaacccabccbccaabaabbaacabccbabaaabbccccccbacbaaacbaaabbcbcaaabccacbacaccabbcacccaaabbccbccccaacbccbacbccacaaccccbbbbbbccaccbcbcbabccacabbbcacccccaccbcbabbacbbbbcbbcbabbbccaccbbcaabccabbbbccccacaaababbaacbcaaaacbccbcbcbbcbcacabaaccbabcaababbabbcaabccaabccbcabacbcacbcbcccacbaaacacccccbcaabbcaacbaabaabcbbcccbbabbaabcbbbbbaccbbbababcbbbbbabbbacacaabcbccabbccabccacabaabaacaabbbaaccaaabbbcacccccabcacbbcbcabcaaacbbbcbabcaabbabacbbbcabcabaccacbcacabbacccbcabcaccacaaacbaacccabacabbbcbbbcacccbcaccacaccaacabaabbacacababaaaabaacacbabccabbcbabbbbcbbbabababacbacbccacccabbcacababbccbcabcaacbacbaabaaccbbaacaacccbbaabbacccaabcbbabaccccbccaababbbbcacbbabcaabbbababbbbbabccccbababcabbacbcccbbaacabcbaacabbcbaacbbabcbcbaccaababaaabccaaacabaaaabaaacbaacbcacccccbbaabacbbbbccbabaccbbbaacaacabbcbabccccbbcbbcaacbcbabbcbbcbacbabcaabbbcaabbccbbcbabaababaacbbbcaabcaaaaabaaacaacbaaaacacbcccaabcbabcbbccbbacbcbbcbbcacbccabaabbacbbbacccbcacaaaaaaacabcbacbbbbbbabacabbabbbcbabbcaabcacacbbacbaaccbbbcbabcaabcccbcababcbcaaabcbbbbaacaacabababcbbbbccaccaaabababcbaabaabbbaacbbcabcbcaccbabaaacbbaaccbbbccbacabacccacaaaccaabbaabcccabccbbcabacbbbabbaaaabbbbbacabacacaacaacbbcaccabababbaccbaababcbabcbbbbccacacaacaacbacbbbcaabcbcccbbcccbcbcacabbcaacaccabcccbbbaacbabccbbcbcaabccacbbbccbbbaababaabbccbbabbbaababcaabcccabbbbcaaacbaaabcaaaccbcabaabcabbbaaccbaccaccababcccbaacbcaacbbaacabcbabbbcbbccacabbbccababcaccccacbacaabbcacabbbbbaacaacacacaaacbaaaabacaaaccaaaccbbaabcbabcbcbcacbabccccababbcbabcbbbbcbcaaacbaaabaacbbaababbacbbbabbbcacbabbcaaabbbaccabbbbacbcbcacaacbbacbabaacacaaccacccbcbcbbbbaaaccbbabcbbacababaaaabbbbbbbbaabbbbbaaaccacacabcbbabbacbabbcccccaaacbacbcacaaacabaacbbcaababccabaabccaccbaabbbbccbbacaabaacbbaccaacbcaaaccbaaacbcccbaaaaccaacaaabbcbcbaccacbabaacbbbacbcbbabacbbabcbabcacbbbcbaaacabcbbcbcbabcccbcacacbcacbbbcacccaabbbcacabaacbbacaaaacccbcbbccbbcaaacbaacbcaabacababcbabcccbacccabbcaabcaacabaacaacccccbbcacbacccbabbacaacbbaacbbcbaacaabcbcbbabcabcccbabcbacababccbccaabbbabbbbcbbacbaaccbcccbbaccccccaccbbabcaaaccaccbbabccabbccaaacababacbaaaccccacccbcbbcccccccbcbcbaabaaccaaccacbbccaacbbbbacaacccccacbaabaaaaaabaaabaaabaacbcacbbabbbbccaaaaaaabacabaabccaacaccbcccccbcccaccacbabbaccbcabbcbbbacabbcccacbabababcbabbcbaabbccbcbacbcabbcbabacaabaccbbbcbabcbacacbccaacacccaabbaacbcccccaaaccaaaccacaabcacaccaacccbaaaccbbacbcaaaaccabaabbbbcacacabbcccbaccbcbcbaccaccccbbbacaccbababaabbcccabcbcccacaacbccccbcbaabaabcabbccbabbaacccbacbcbcbaccaccbaacaccaaaccbacaacbaabccbaaccbbbcbaccbbabbcabcbbbbbbccbcccacacabccbccccabcbcbaacabbcbbacaaccaccaabcbbbabaacaacbacaababbabbaaabbbccccacbaabcbbbcbcbcccabbbbcbabcabbbacbbcbcaccaaaaaaacacbacbbbbaabbcacacbccbcbcaaaabbababcabaaccaaaaaaccaccaaabacaaccaacabcabaacccaccacbccccaabbbaccccabcbcccbacabcaaccaabcbcbcbbccbabcbcabcaaaabaaacbcbbcabbcacaaaacccaaabbabaaaccabccacbcccacaaacccaacbbaaccbccbcabcbbbbabbaaaacccaacbacaacacabaabbbaabcbcbaacababbcccaabbbbbcbccbaacccacbcccbabcbccbcccaaacbacacccacbbaccbcacaacbcabbcaacaaabcbbbaacacbbcabbaacacccbbcaabacaabbcaaabbaccbcbacabcbbccaacbbcbbbabbcaacbbabcbbabacbaabbccbabacbaacaaabcacbacbcabcbaaacbbccbcbcacbbaaccbcaacaccbbaaaaacbcbcccccbcaaaaaccbcccbcbbbcabcaaaacccbccbbcbcccababbbccbbcbacbaaaaaabbcccaaabbcbcababcabbbacaaabccbababbbaaabbbbaabcccbbacabbbccaaabcbbcccacbbababcabacabcccabbcabaccbbcacbbbaaaabbccaabccbcbbbaaccabbcbccbbcbcacbabcbcaaabbaccabcbcbabacabbabbacbbbccaacacbaccaacccbbbacbccabbcbaccbbbbaacaacbaaccacbbbabbaaccaaabcabbbabbbcacbaacbbacbcbacbaaacaaccbccbbccbaacccbbabacccabbbaaacbabaabbccbbccbcbaaacabbcabaaaacbcabacbbacccabacabcccaaaaacacbcbaaabccabbcaacaabacabcabcaccccabacbbbbcacccacbbbcabccccbcccbbcbbabccabcaccbaabcccbaabaccabcccabbacbcababccbbaabccbcbccabaaabaccbabbbbaaccabcaabbcbbcbcbcaababccbacaaacabbccacaababccbcaabcbbaaabaaabbcabbaaaaacbaaccacbbbbacccacbbcbaccbacabbbcaabcccbbbacaacbaacccbacaacaaaccbcabbbbcbabaaaabcacbbaccbccaabaccbaacccbacbbabbbcaabaccacaaacabcaaaaaaccaccccaacbacabcaaabbababacacbbbbbcbaaabcabaccbcccbacccbbaaabbbcbcbcbbccaaaaabbcbcaaabccbbcabbacbabaabacabaaccbccabbababccbaaaacccabacbcbcccaacccbcccbacaaabbbbbcccbbcbacbbbacbaaacababababbccbacbcbbbccacbbaccbaccccbbaaabcaaabcaaaccbacbccccabcbaabaaaaccababccabbcbacacbcaabbccbccacbbaaabbbbcbbcbcccbccababaabbcabaacbbcbaaabacbabbabbabcbaccbbabcabcaaaacbaacaacccbcabababbbbbacccbaabbaaaabaaaccbccbabaccabaacbbaaabcaaaabbaacbaacbcabacabccbbcacbaaabcacabaaacbcbaacccbccbaccacbcabcaabcacbcccbbbcaaabccabbcbbcacbaccbacaaaccacbabbacbccbcaacbbaccbaacababaaaacbccbbbaacccacaccccabaaccacccccabacaabacccabcbaaabacacacaababbcaabcacbbbaaaaaaacabbacaaababbccaacbcbababccbcbaccabbbbcabbbcbbacbbbabababbbbcbbbccacccacacacccacbcaabbbbccbbccaacabbabaaaaccacaccbaccabcbbbaacbaabccbccacbcbcbacbccbbccbabbcbbabbaacacbbbcbcccbcccbaccacacabcccaabccbbaabacccaabcabccaacaaabcbcccbaabaabcbcabbbbcbbbbcaccbabccbccbccccccbbbaccaaabbcbaccabccabbbabbbaccabccababbbbcbabcbcacabbcaabbcbacabbabbcabbbbbaabccacbcbbacbabccbbbccbaabacccabaccaacaccbcbacbcacccccabacabaabcabcbabcbbaabacbacaabcababacbacbaaaacbaacacaabccaacabaacababcaccccacacaccaccbbccbaacbaabcbbcabaccccbbccabbcabccbaaacbbaabbcabbcbcbbbabbcccbbabaabcbacbbaaabbccaaaccabcacbacbaabbabbcacbbacbacabcabababccccacbaaacacccaccaabcbcccbcbbcbaabacaabaaaabacbbbbacacaaaaacabbbbbaccbcacbbbabaabaabbbaccabbaaacbbaaaaacaacbcbaabbabbbcbbcbcccbaaccabbabacbccbabcbabcbccaacbccbbcbbabcacbabbccccabcaaaabccaabbbcaabcccabacbacbccbcbaaacabbaacabbcbaabacbbaabcababcbaaaaaacbbababcaabbbcaaaabacbcbaabbacababcccaccbabcbcbbbbabacbcbcacbcbccbabcabbbccbbabbaaacabcbbaabcacaabcbacbcbbbacbcaccbbbbabbcacacbbbcaccaccbacabcbcbbbbbbbbbababaababccacbaccacbccbccacccacaccbcbcaccacaccacaacbbbaacbbcbbccbcbcbbcacbcbaabababccbbcbaccbccbbacacaccbacaabbbaabaabcacacccaabcbacccccaaabbaaaaacbbccabbbbcabcabbcccababbabcaacbbcacabbcbbabaababccbbabbaaaaacabcbcbccaccacacbcabbaacaabacacaacbcbaabacbccccacbaabababbcbacabcbababacbccabcbabaabcccbacbbbacbccabbbabcbbccbbbbcaccababbcbacababacacabaccbbcbabbcbccbbbacccbacbcaabacabcacacaabccacabcbbcbbcacbaaabbbbcaccaaaaababcccbbcacccacccabaacabaccbabacbbccbaaacabbcccbababbcabbabaccacbbcbabbbcbbcacaacabbcbcbccbbabcbabcaaabaaccbbcbaccacccbbacabbabacaacccaaaacacacccccbcbcccbacbccacaacabbbacbbacabcbabcbbbaabbcbbcbcacbabacbcacbccacccabccccbcbbcbcccbacabbcbbaacccbcacccbcccabaacbacbcccbbababbabbbcccacbaaabbabaacbcaccaacaacaacaaabaacacbbabbbcbcabcaccabbaabbcaabbbcbbbaaacbcabaabcacaccabaccabccaacbbabcccaaabcbccaaacabaaccbcbbbacaaacbacbcccbcaababaabacccacaacabbcabcbaccbcbccabcccbabbaaacbacccacaaccacaaccccccbbbcaabcaabaaacaabcbacaacccbaaccbccccbaacccbabcacabacabbbcccabbcbabccaaccccaacacacabbccbcccabaaaabcccbcbcbbcccbbccbcacabacccbbcbcbccaababcbbbccacbacbabaaaabbcbaaabbcaabbabcaccaaabbacbbacababaacccbcbacccbbabbcaaacbabaababaaabbbaacbcccbacaabacccbbcaaacbaccaabbbaababbcbaabaacabcacabacccaabbbbbbbccbcacbcacbbcacbbbbccccabbbcccacabbcbaaabbaaccaaccacbcbabcbababaaccbaabbcabbbbaccbaacbcbcbaaccabbbaabbabaccaabbbbabbcccbccacccbcaaabbbbcbbacbacaacacbcabbcbcacabbcabbbcaabaacbccaccbaccccaaaacbbcacaabbccabbbccccaccacaccabbbaacbcccbbcbcabccbaccccaacabbacacacbabbbbaabacabcabaabbcccbbabbabcaaacbacaaacacacbaaacccabaacababbbacbaacbcacabbabccbcbabababacbabcbabbcabaaccccbcbbbcbbcabcbacaaaccaaaccabbccbbbccccbbccbacccacbbcaabbbbbacbbacabbccaabbcaaaacaacbaabbabcaabbabcccabaabaacbbacbabbbaacbbbccabbcbaabbcaaabbbaaabcaabaacacbbbaaccababbaaccaacacbbbbcbbcacccccbccccaaacacacbaaaaabbcccbcbabbababbbaccccbccccbcababbacacabaccabacbcbaaabaabcbabbbabccabcacccccbacabbcaccbcacaababbcbbbbabcbccbabaccbccbaabbabcabbccabcbaccbabbcbcbbcbccbcbbaabcbabbbbcbcaacbbbbbabbbbbcbbacaabacabaaabbcbcbbbacbbbcabbcacbbcabbaaabcababccbcbcbabbbcacabcacaabcccbcbcbbbabbcbaaacbbaacbbbccabbbbbcababbcbaaacacbcbabbaababbbbbabbabababcbcaaacbcabacbbcccbbaaccbcbbccbbaacccaacbacbccbbcbbbabbacacbacbbccabaccbcbcbcbbbcabbababcacabbbcbbcbbbbbbcbbbabaaabcccaabcaaababccacbcabcabaabbbbaacbbacbcaabccccabcbbcaacabbcbcbcbbbbbbcabccacbccabacabcaababcbaaacccaaaaacaccccabcbccbcaacccbaacaccaabacbacbbacaccbabbccbaccaaabbbbbcbaccccbbaabcaaaabcbcabaaaaccabcaccacbbbcabcbbbaaacbbbaacbbcbbbcbbccbacccabbaaacccabacbabcbaacaaaacbabbabbaaabcbabacaabbaaccaababcaaaaaaabcacbbaccabacabaaaaabbacababaaabcaccbabbbcaccbacacaabbcbcabaabcbcccaacabababcbabcabccccbaaccaacbcbcabacacbabcacbabcacbcaabccabcacbbcccabbaabccbbabccabcbabbabcaacabacbabcbacacababbbbbaacccbbcacbcabccacaacbaccacaccaacaacababbabcccacbbbcbbaaabcaccbabacaccabbaccbabaaaaacbacabccacccaabbcacaaacabbcccbbcaccbacccbabcbacbcbbacabcaaaccbbbacacabbabcacaabcbababaabaaaccabccabbbcbbcaaaabaacabcabaacaaccbbaababacbabccbbbbbaaabcbacccabbbabbaaccacacbbbbabbcacbaccacbabcacbccaabbaacaacabaababacccaaabbaacbabaacacbaaccbcbaccabbacaacabcbcbcbabacbbaacbcbaccacbbbabaccaccacabbaabacaaabcaccacbbacbaaaaabcbcbbabbacaabbcccaabcbabcbacaaababbabcacaababcbbbacccaaabccbbaccbabbabcccacbcbaaacbcbbcaacaccbaabbcbaaabccaccbaaaccacbabbbbaccacbabbbccabbcaabcacaccccabcbaaabbaccacccaccbcacacabaacccbababcbabccccabbaaaabaaccabacbbbbaaabacaaacbacababababbabccbaaabacbbaccbcccbacaabcabccbbabcbbbcbbcacbcbabaacabcacaaccabbbcbbaacccacbbbcabcbcaacccbacbaccaacccccbcaababbbcacabbbaaaabaacbbbbbaccabcaccccbaabcccacabbcbacaabcaccbcbccacaaccbbaabbbcaaaaaccbcaacbaaabcbacccaabccccaccbaabbcaabccbcbbacacababbabacbabacaabbbacbbababcabcaacbbcacacacbabbbbbcabcaccbbcabcacbbbccaccabcaabbcbaccbaabbacbbacbbaaabcbbaacacaabbbaacccccbccacbbcaacbbacaccacaacacbcbbaacaabbacccaabbaaaabacacabbcccacbcabcbabaabaabacaaccccabcababababbabaaaaaaacacabbabacababbacaabacaaacbcabbabbaccacacabbbcbcbabaacaabababaacabcaaaaaaabacabbbaacabbbbbcaaccbabcbbabaacbcbaabcbcaccccbbaabbcaaabbabaacccbcccacbbacacbababbbccbbababbaaacbacaababacbabaaaabcbaacbbccabcacbacbbcbbaabccbcbcacabbaabbbabcaaccccbacbbbbbcabaaccbbaaaacacbcaaaaacacacbaccbaccbbacccccbcbcabbcabbbccaccacaccaacacbaaacacabbbacbbbacbabaaaaacacbabcbbacaaaaabccbabcccbcbcbbaccbbccacababcbcacbccaaaabaababcbaaababaaabaaabcaaacbbccbaccabccbccbbaaabacbaabaababbabccacaacbcabbcacacaaccbcaaaaccabcacccbaacccbaacbcbbbcbabaabbcaaabbababbcaabcbbbabaaacbbcabbaccaacacaccbbaabcccccabbcbbcbbbcbcccabaaacbabccaccbccbbaaccaaacccbaacbbbacaabccbaacbcaaaccaabbbbcbbcabbacababcaccabbacabaabcbbccbbbaaacbcbabbaaabbabaacbccbcccbabacbababcabccaacabccabcaaccbcaabccabcabacbaaccaabbbbbbcabcbbacacaaaccacccaabbcacaaaccbbcbcacbcbcbaccbcccbcacbaababcaabcccaaaaccccaaabccbbcccbcccacaaccaabbcbcaababbbccabcbcbabacacbbcabbbacbbbbacbbcbaababcbbcacbacbbcbbaccbacccccaaaabcccabaacabaacaccabbacaacaabaabbbabcaacccbcccabcaccbacabcbbaccbabbbccaabacccaacaaabbbcbbcbacaaaabcaacacabcabcbabcbcbaacbacacabbacbcabaaabacbbccaaabbaacbaacbbbcccbaacaaccaccabcbcaacbcbacaaabbccccaccbbbcbbabccbcbaccbaabccacbacccbbbabcaacbbccbaaccaccbcbccbbbccaccbaacccbacbcaacbabaabbbcabcabcbccabaabbbbbaacccaccaaaacccabaacabccaacbcccbcccbcbbbbcabbaccaabbcbaacbccabbcaaabbcbbbacaccabbcbbcaaaabaabacaaababbabccbcbcccbcccbaabaaacbbcaabbcccbaabbcbcacabbcabbbcccabacacccacaabacabbbbcbaabccbaccaccacbaccbaccababacbbaababaacbcabacabccacbbbabcccaaacbbcacbbcabbababbabaabacbaabcacabbbbbbbbbaccaccbcbbbbaaabaccacbbcbacaccccbbcacbbcccbaabaabccacbababcbcccabaabacbccbabcbbbaacccbacbabccaabbbacbbabcbacbcbbbaaabcacabccbbaaccccababbbcbacccccccccbcccacabbacbaccaccbaccacbccacbbccbaccacaabbaccaabbbcaabaaacccbccbbabacabaccaabbcaccbaccababbaaacacbaccbcbccbbabbbbabbabacacaaaaababcaccbacbabccccacaacbbccacccabbcaccbacccbabccccbacaacbcbccbbcccbcacbbaccabbacbcbabaaacacacbcacbbbcbccccbbcaabcbcbacabcbccbbacacbabbcbccaababccbbacacacbbababcbcaabaccababcaaccabbaaaccacbaacacabacbbabbbabccacabcbcacaccacbbcabbcacacbccbacbccbbbabbcbcbcbcabbcacaaaabbabbcccbcbaacaccaaacabacccbabcbcbaaabaacbbcbcbcbaaabaaabacbaabccccbcbbacabbabacabaabaaccbbbcccbbbbaacbacccabcbcbcbacbbbaccbaabbbbcbaabcabccabaacaccbbbccccbccbaabbcabaacaabccccbccaabbccccabacaccaccccaacbaaacacbcaabbcaccaaabaccbbcabcccbbaaacbbaaccbcaacaaacaababbaccccbcbcaccabcbccbbccaaaccbcbccaaabbabbccabcccbcbaabaabccabbbcbbcbccaccacbbbacccbaabaababcbcaacbccccbcacacbaacbbabccbcccbacbcabcbbbbcacaabbbbacbcbcaababbacbabaacbabcbbccbacccbacccbabaaaaabbccaaaaabccbcbaccbbabaaaaacaccacbaccbaaabbbbaccccbbbaccbacabacaccabacbacbabcacbbbacbbcbbcacaacbbbccbcaaccbcbababacaacbbabaaccbbaaaaacabaaacaaabcaabbabccbbabbabccaaccaccabaaabbcbbacacababcabbcbaacbccbacbabcabccabbbcacacaacaccccabcbcbcbcbbacabbabcacaacababaabcccccaaabcabbbbcbabcaababbaaabcbcacaacbcbcbababbbbaaabcaaaaccbabcaabaacbabcabaabacaaabbabacacbaaaaabcbcacbcbaaabbcccbabccacabbccaaaccccabcbcbccabababbaaacbcacacabccaabbabcabaabbbbacbbcbabbbbacabbaacaaccaabaacaaaacaaabccababaccbbbaaababbaaabbcbaaabcbccaabccacaabbacbaaabbccbcbabccbbcccbbcacacbaccbcbabacabccabcbcbacabccbaabaacbcccabacbaacbacbcccccaaabbaabacabcacabbabcbbcbaaabcbcacccbabcaacccaaaacacbcccaaabbacccabbaababaabaabcabccabcabacacbccabaccaabbbbabacccbbaabbbbbaacbcaaaaabbcbabbaaabaaabbbbaccaaaababbcabcacaabacbaccbabccbbaacbbacbaccacaaabcccbbacbbccacbaaccbabcabcaacbcacaabccbabccccaaaabbacacbbcccabccabccacabacacabcabbaaaaccababaaabbbbaabcbbbaacabbbccabaccaaabbcaacbcbccbbbbacbbcacbabaaacbaacccabaccacccccaacacbacccbbcbccaabcccacbabcbcbbcbcabaabbaaaacbcccacacbabcaaccaabcbbaaccbbabbbbbaacaccaabbababbbbcacbccaccabacacbbbbbbaaaaabacbacbbacaccaabbbababcccccababbbabbbabaababcabaababacbbabababaabcaacbaccabbbbaacabbccbcbacbbaacbcccccbcbabaacacaaabbbbbaabcbbaabbbaaaacaacbaabacccbabacccacababbacaabacbcbaaabbababbabacbaababbbacccbaaabbccbcbccbccccacbbabbcacbababcacbaaabcaabbbaabcbbccccbbcaccaccaccbacaccabcbbbcbcabbcccaacacacbcccbccccbbbabcbacabbcabbbbbaaabcaacaabcbacbbbbacacccccbccbacbbababbcbcccbabcaccacccacbaaacccabbccaabcaaacbabcccbbcacabcaaacabbbaacacbcbbacccaaccabbaaccbcabbbccbbbabbaabbacacaccaacaaabacaaabccacccbacbcabacaccabaaacbcbbaccaccbabbcbbaabcabbcaabbcbbbbacabbacbccaaaacacabbbcacbcaaaccaaacaaaabcccbbbaaabbccacbcccaccbbacacaacabcbacbbbabcbcaacbbccacbacaaabbaabccbabbacaacaabcbbcacbcbccccccaaaaabbcbabccbbabcaccccaacbcbbaaabcbabaabccccbbabccbaccacbccccabaccacbabaabaacccaabaabbbabbcccaaacbccbbbaccaaaabbaaccbcaccbccabbccbabccabcbccbaacccbccabcccccaacaababcacbcccabcaaaaaccabcacabbbcbcabababbabcacacabbabcbcacccbccbbababbbbaabbbabccbcbbcbcaabaccacccabcbccbaacccccbccbaabccbaabacacaccbbbcbccaccbbcccbabbccbbababcaaaacccbabaaaaabacaaccbcbcbbccaaacccbbbcbbabacabacacaabbcccccbcabcbcaabcccccbaabacccccacbbbcbbbabcbbcbbbaccaccabbacaabbccbbaabbbbbcaabcaaacbabacabbcabbbbbacababcbccaccbaacacaccacacabbbabbbbbbbbbaaacaababbbacbabacacccbaccbbcbaaaaacabaccbabbaaacabaccaaaabaacaccccccccccaabacbcbabababcbccbcabacbbacacabbabbabcbbcbcaccbbbcbccbcbcaaacaccbbccabbcbabbcaabcacaaacabacbabcaaacbababaaaabbccabaabaabaababaccbbbacaabaccabaaabaccabbbbcbcbbaaacabccabcbacabaacacbcababbaaabcbabbbcbbcaccccabbcacbbabbcaacaababaabaabbacbbcabcaccacacbccccbcaccbabcbbbacacacbabcabcaabababaabccccbbbbcbcbcacbaabbbccbbbaccacbcbccaacababcccaccbcaacbccbcaaacbbaaaabbbbcaabacabcababcacbcbacbabbbcbcbcbaabcccbbaabbcacacababbcccbaaabcaccccacbbccbababbaabbbcbcbbabaacccbbacacabbcccbacbbabbabcbcccaaaccababcacacbacccaabaabccbcccaabcacccbccbcaaacabacbaccabaacabbccbbacabaababbcabbacaaabcbabaabbbbcbbaabbaabbcccccabbaaccbcacacabaabaabccbaaccbbabbaaabaabccbbbccabcabcaaabbcacaacbcabcbccaaabbccabcbabaaaabccaccbaabbbabccccbbaacabbbaccbaacacabbcaabacccaccabbacccabacccbcacacbaaaacbbabaaaccbabcabaaacbbbcbaabbabbbbbabbaaccacbbcbabaaccacacbaacbcacaacacaacaaccaaabbcbcaababbbbbcbacaaacbcbbbabbccbccacaabbacaccacbbbbabbbccacabcccbaaaabccccccabaabbbacacaccacacaaaabcbabbabcbaccbacacbbcabccacbbaabaccacbcacbabcabbbaabccbbbbaaccbabbcbbbbaabbabbcbbbbacbacaaacbbcbcccaccbacabacbacabaaabbbacabbcccacccaabcbccaabbbccbabaccaacaaccbcbaacaabacbcbbcabaababcbcbcbbaccccabcabacabcaacaabacacabbbaabbbcbcbaccaacbcbcbbcbabbabbabaaaaacccabbccaabccaaaccbcccbcbcbbccaacbabcccbacabbccbcabaaaabcaacbbcbbacccbabcacacaccaabcbacacabcaabbbbaaabbacbabcacacaacccbbaccbcbaaccbcaacabacbcaabcaabaabcbabbbcbccabbccabaacabbbccbcaccbbaaccbacaabbbbbcaababaaacbccabaccaccabcccacaabbbcaacbbaacaaaacaaccbccccbcaacacaacaacbacaccbcbbbaacbbabbcbabccbbcccbccabcaaabbcababcbcbbbcababbbbcccababcaacbccbbcbbcbaacacacaaccccbcbbabbacaabaacbccbaaccbacbcccbaaaabacbbaaaabacaaccbbbabbcbaacbcaacabccaabcabacbacbbaacbababbbcbabbbcaabbbcbabcbbcbabbaaaaccbaacaabbbbcbccbcacccabbcbcbcbbaaabcbcbacacbbbcbbcbbabbcbaacbabbabccaacbcbccbcbccaabaccaaabaccaaccbcbaccbcbacaccbcabaccccaacaaccabbccabcbccabccbaacaccbbacaaacbcaaccbabcabbaccaacbccbabbccabbacaccbbccbabcbacabaabacccccacbacbbbbccacbcbcbbacbbcccabccccabaaaccbbaacbaaacabbccbbbcbbbbbaaaabaacaabacbcbabcacbcacacacbbbbabacccaaaaacaccaaabbbcbbbbcbaaccacababcbaabccaaaaaaabaccbaaccaababcaaabbacabcaaaccbaacbbbbbbbbbacaacbbabbcbacaacbcbccbbcaacbbaacacbbbbaabbbbacbbaabaabbbbcccbccacabaabbbbcaccaccabaaacbbbbcbaccaabcabaaccaaacbbcaacbabaaacccbccabacbaacccacbaaaaacabbbacbcbbbccacaababaaababacacabccaaabcaabacaccbccacbbccbbabbbccacbbaaabbcbcbcccabacbcbcbbbcaccacabbccccaacacccbbaaaaccbababacabaabaacacbabbaaabacbbabbbccbcaacaacbcbaaaacaacccaacccabccacaccccacbcbbbccbabaaacbaaacbcaccbcacbcacabbccbaacacaccbabcbcaaccbcbbaababbacacbcccacaabbacbababbacbcbbbccabaccacccacabbacaccaacbcaacabbaaabccacbcbbbaacacaacbcaabccccccabcbbbbcacacccabcaccacccacbbaabbcbbababcbccabccbaaababccabbcbbccbbbaabbbcaccbcbcbababacabbbbcccaaaaacabbaabbbccaaacababcbbcaaacacbacbcbbccacbbcbcaaaabbbcacaaaccccaacaaaabacacacbbcacaaacbbcabaaacbccaccaaabaacacbaabbcccbabaabbaccbabaacacabcccbabbabacbbacaccbbbcaaaabbbacabbabcaaabcacbbbaabbccabbaaabcbcaccccabbacbabaaacbcbccbaabbbbcccaccbcaacaccbacbcbaacbabcacbbcaaaabaacacbbabaaaaacbcbcccacbaabbccbbcbbbccbabbbbabccccaacabbbcccaabbcaababcccbccccbaccacabaaaaccacbbbbaacaabccacaaaaaccccbcabccbcbccabbcbabaaaaaccbccccbabbbcaccaaabcacaaaacbbabcaaababaaaccbbcbcaaacccbbacccacabcbbcaabbbbbaacbbcacaabccbabcabacbbbbcacbcabcaacbaabacabccaacabbbabcaacccbbaabaabcbbcaaaaacaccabcabbbcabaaabcbcbcbbcacbcccbaabcabaabbcaaabbbbccabccaaccbaaabbaabcbcbaaaacbacabbbaabaacacabcccbacbbacbbbabcbaacacbbbccaaaabbbaaabaaccacbccbbaacaccaaccabbaacbbccccabcabcbabcbabbbcbcbccbcbacababcabaccbacccaaaaaccbbccababaccbcbabaabbabaccbcbabcabbcbaaccccbbabcaabbbaabacbcbccbbcabaacaabbccacbbaaacccaabcbaaabbcaccaccccbabaaabbbcacaabbaaccabbbbcabaccccabcaaccbbcabccaaabbccbccaabcacbcabcaacacbbacabccbcbcacabaabcabcaaabbaccbbccccabaacaaccbabbbcaaacbcbbccbbbcaccbacacccabaabcbcababbbacaabacacccbccbccaaaaabcaacaaababcbbcbbbcabbcbaacbacabcaccacccacccabaabacbbccabacacbbacbbbaaaaccacaaccacbcbbaaabbbcccacbbcbaabaabcbbccbcbaacaaacaababcbacbccaacbaccccbbcacccbaaccbcbcccabccbbbbabbccacbabbaaccacaabbabbbbaaccaaacbbccaabcbcbbaababaabbbbaccacbbbabbbcacbacacbbcbcbaabacabbaacbbabcbcabaccccabcaabccbaccbbccacbaaabbaaaaaaccaabcbbccbaccbbbcabaacaaccbabbccaabcbcbbcbaabbaacccbabcaacbacbbcacbbbaccbacbabaacbaabcbbacacabcaacbaaaaaccaabcbbcaaaccccaccacabcabcbbabbacbacaaccbccbcccbcacccaacaaccbbbacacbabbacbacaababbaacabcabccaaacbbbbbacbaabbbaababbabccaababccbcacbaaabbaaccbaaabaaabacbabbcbaabbacacbbacbbcabaabcacaacbccbcaaaacabbbcbcaabaababaccaabaaacacabccacccbaaccbaababbcbcbabccbbbccaccbaacaacbbcaccbbaacbbcccabccccbcacbaaaacaabbacabcccacabaccabcbacccccacbcabbcccacbaaabbacbcacaaaaacbaccacacabbaaaabcabccabaaaabcbcccccabcbcacbccabaaccccabaaabbccaabcbccbcbabbcccaababcbccaccccacacbaaabbbbcbbacbcbcaabccaabaabccbbcabcbcbbcaccbaaababccabababccabbacbcaabbccbbacccbccccccbaaabacaacacacccccbbbbaabcbaaaacacbabacbaabbbcbcbbbaaaabcbaaaaccccbcbbabacacaaabcbbcbaccbbaaabcaabbcbbbccbbabcccabbbbcbbcbabcbcbabcbccaabaababacccccbbccbbbbbcbcccbbbcabacbccacbbaabcacaaacbbbcaabcbbacabcaccabacabbcbabccaabcbcccaccacccaccaabbabcbababbaccbbcabacaabbbacbaacaaccaacabacccbbbacaccabbabbacabbbbaacbcaaccccbbcaccaacbaccabcccaccaaaccabbccabccacaabcaacaaabacbabaaaabbbcabbcccbcbbbcacbacbbbcabccbcaaacababbbcccacaaabaccabbcaaaacacbacbaacbcccbaacaaacaaccccaabaabaabcbaabcacabbaccbccccccaabcacbcbcacbbcaccbcacbbbcacbbcbccaacccbabbcabccaacbaccbacbbbbbaaaaccaabbabbacabbcaaaccbbcaccacbcbabbbbaaacacacccabacbbbaccabcbabbbbaaacacccaaacbaaaccabbaacaabcbccccbbccaabbaacaabacbcccbbaaacbbbbbbaaccbcacbabaaabbbbccacbaaaabccbcccaacbacaabcbbcaaabcbccaacbbaabbabaaacccbcabcbaacbaaccbccccabacabbaabcababcacbabaacbcaabacbcabbccabcbbababacacbabaccccbacbbbcabbabbccbcbbaccbaaabbacaaacabaabaacabaabbccaccccaccabbbcbcccbbabcaacabbccbcacccaabcacaabbaccbbcabbbbbcacccabaaaccbbccabaaacbaaaccabcbcbaabcbacaabaacaabcccaccbacbcaabbbccbcabccbacacbabbcaccbbbcacccaccbababaabcabacbbbbbaaaccbbcaacaacbbcbccbcacacacabccbccbbabaaabaaacbbcaabbaaabbbccbbbbbaaaacbbbaaabcccacabaccbbacccbbccaccaabbbcbbbccbbcbaaccabbacbabaabbaccacaccbbaccbbabbaaaabbcccabbaaabacababaccbabbabaaccbbaaabcacbcbcbaabccabcbabbbaabaacbaacabbbcaaaccbccabbbccccacccbcbacbbaccbbcbccbacaaccbcacaabaccabbabaaacbaaacccaabacbacbabcbabbcbacbbbabacccabbbcacabbacaaccacbbccccaacaacbbcbbaaabbcbbbabaacaccbcbcbaaccccbcccaababcaababaabccbcaccbbaaacacbcccccbbcaabbbbbcabbaaabbaaabaccbccaababcbacacaccbcccbbcccaaccbacbabbcbbcabcabcbabaacbccacbcacacaaaaabbcbcbbbbccacacaaccbccbcabbacccbbcccbbbbcbcaacabacacaacabcbbbbcbaaabbbabcacbaaaccaaccbccccbabcaaacabbbbacbabbacccaaabbcbbbbacbccbaabbaaabcabbabcbaccacccccbaacccccaabbccbbccbcaabbcbbbabbabaacbcccbaaccbccbbacccaaaabcaaccbcabcababaabbaacaabaabacbcaabcbacaaaababbabbbbcbbcbacaaaaccabcabacbabbbcbaacbabbcbabccacbcccbaacbcbbbabcabbcabcbcabcccbbbcbcaabcccbcccccabababbbcacaaacacbcccaaccbcacaaabacbaabcbabcbaabcbbaccccbacbbbacbcabacacbbcccabcbabbacccbcccbcccacccacacbacbccbcabbaacacacaabaccababbcaaccbcacbbbcbcbcbbcccbabbaccabcbbccbbabcacccacbcaabbacbbaaaabcaaccbbababbbabaabcccccababacaacbcccccacababbbbccbcbbbbcbbabbacaabbaccaccbabbabbabcbabaccabaaaabaaccbcaabbcabcbacbaaaabcbcaabbaaaaacbbccacccbbcabbaaabbbccbabacacbbcccbccbbcababbacbbacbabcbaaacccaccccbbcaacacaacbcccbbacbbcaccacccacaabbcbbcaacbaaabcbcbaaccaaaacbccaccacaaccaaccaaacaaccaabbcaacbacccaacbccbcaacaccbaaacaaaccccbbaaabccabaacacbbbccaabcacbaaacaccabbbcbcbabaccacaaaacaccbbccbaccaccbcbacccbcbbcccbababbcbccacacaacbbcbccbccbabbaabaacbacaababaaaababacaacbaaabcccbccacbcbabcabbbaacbababbaccbbaababcbccbcacaccacaaacaacabcbabaacbaabcaccbbacacbacaaacbbbcbacbabcabccbcaacbabaacabbcabcbcaaaaccaaacaabacabbbaabbbcccbaacacbaacbcbcacaabbacaaacbccbabcaacaacbcababbbbcaacaaabaaacccabbabcaabcacabcacccbacbbccabaacaacbaaaccaaaccbbacccacabaaacbbcaabbbcaacabcabacbbbbcbaabbabccbbabcccbcbaccccccbabbcbbaccaacccababbcabcbccbbabaabbbbabbbaacaaabaaaacaacbccaacaacbccacbaaccaaaabaabcacacbbbccbcbbbbbacaacbcacbabcababbabbaacaaccbbbacbcbbaccacbcbbbbababbabccbbcabbaacbccaccacaabcbacbccbbccbccbaccacbacbaaababcaccaaabccacabcabbbcabbaccbbabcababcaccaacacaabbbcccabbbbaabaabcbbbcbaaaccccccccacababacabbbbacccabbbaabbccaaacacccaccccbacbbaccbaacbaaaaabaaccabbbbcabbccbacbabbcbbcccccaacbaaaaababcbabccbcbaacccbabaaaabcbcabaabccbacbcaaaaaabbbcbbbbccaaccabcaacacaacbaacbacaabcaaccaaacabbcacccbacbbacabaabacaaaababcbbacabcacbcacacbcbabbcabcbccababbbacccbcacbccccccbbbcaaabcbacbbacbaaaaaacbcbacbcaacbbababbbbaaabbcaaacccbacbcccbccabaccaabbabbbbbaabaabacccaaccacabbbbaabbaccaaabbaccbacbbbabaabbabccccabaabacccaabbccbbcbccbcbbcacbcccabccabbbccabbabbccaabbcaacabbbbabcacbabcacbcbaccbabbbcbcaccacabaaccaccaabccbcbabbbcccccabcacaabcaacacbbccbacabcbaaabbacabcbcaabacbcbcbaabbcbbbbcaacabccccbbcbbcacbbbaabcabacaccccbabaccbaababacbaaccbbacbaaacaacbacacaaaccacabcaabbcacaabccbbaaacabccaabbcacccabbacaabbccaacabbccbcbccbaaaaccaacaccbbcbaaabcaacccbcacbbbbccabcbcbaaacbacaabacbaaacccbbcbcbbcaacacbcaaabacbbaacabcbcbabbaaaaaccbbacaaaacaaccbccabbccccbcaacbaccccabbacccaabccbcbbbaabccbaabcccabacaaababababcbcacbcabbbbaccccbcbcbcbccbabcacbabbbcccabacbabcbbaccabaabbbaccbaaaaacabcbaacaaaaacaccabccacbacbccbbbccbbccbbbacbaaacaacbabbabccbbaacccbabbcbabbbcaabcacaaabcaaaccbbabaaccaccbacbabccccabbcbabaaaccbbacccccccbacbabbaacabcbbabaacccbbcbcccabbcaababcbabaabcaababccacbabbcabbcbbcbbccaaaccacbbccabcbacbacbbccacabcbcbacbbacaaaaacacbbbacaccaabcccbacbcabaaabbcaccbaaabbabbcbaacccbccbbcbbbbbbaabbbacabcccaaaabbbabcbacacabbbbaccbcbacbacbbccacbbbacbcccbaaabaaaaacbccbaccccbcbcaacbacbbabcbcbcbcaaaabaabbcbaaabbabbacaaabccaaababccaacbbcbcbcbbbbbbcababaacacabacaababbacbaabcabbbcbaaabccacbcbccbaaccaccabcacabcbcbcabbcacabbbccacaabbccbaaaabbacbccbacbabaabcabccabbabbbbcbbabbccabaabcaaacaaaaabccbccacbccacababbcbabcaacbacccbbbbbabbbcbbbaabbcbabcccaccbcccbaabacbaacaabcbbcaacbaacacaaabbcccbccaaacaccbcbbcbaacbbcacbbcaaccbbbaaabbaccbcbbbaccbbaccbabcabbbbbcbabbcaabbbccaacabcccaabbaaaccbbabacaaacccbbacabbcabcbababaacbacbccbbaaacccbabbbccbcccbbabbbcbcaccacabcacbbcbccbbbbcbbbccaccaccccbcbacccaacbbbabbbabcbcaababcabbcbcacccbabbcbaabbcbcccccbbbccccaaabbcbaacccacabcabbcbbaccbbbbbccbcbabbabcbaabbbcbaaaaacaccccabcbacaaccaabcabbcbaccbbbacbababbcacbbbbabbabaababbbcacbccbccbbccbcbcabacabcbcbbabcbcbbaccbabaccaccaaabcbbbaabacababbacccaccccbacacbbbabbccacbccbcabccaccaaabbbabbcacbcabcaabbbbbccaaaaacbacbabaaabbccaaababccbbcaccbccbbaccbaaaabcaccbcbbabccacbaacbbaabacacabacaabaaabbbcccabacacccbbcbaaacbaaccbbbcccbaccabaccaabcbcbcbccaccccaccccaacbabcabcabbcabcaccbacbcabbacaababaaaaaccaabcbaacbcbcbccbccbaabcbbcbaabcbbbabcbaccbacbcababbcbaaaacaaaaccccaaccacacccbcaaacbaaabccabaacbbabbbacabcbaacbabccaacccacbaabcbabcbaccbbbbabacbabacaabccbaaaacbcbbbcbcbcbcaacaccaabcccccbaabbbccbbccaccaccbbacbbbcbcccacaabaabbbccbcacabcccccaababacbcccaaccbcbaaacbaabaaaabbcbabbcbabccbcbbcbbabbcccbbaacbbbabaaccbacacaaaccacccbacbcababbbcacabbbabbbbbcbacabbabcbacbbacaccbccbccccacbaccaaaaabbcaacacbbbbcabcacaabbbcabcacbbccbabccaabacbabbaacacccccaaccaabacbbbbabbbcbbbcbabaaabcaaababaaaabcccbaabcaabccabbbcbabaaabacacbcbbabbaaccaacbcaacbcbccbcaacbcccabaacbbcabccabcacabcabbbaabbcaacaccababaccacabbabacbbabccccabbabbbaccbbbbaabaacabbbbcbabacaabcabccbbcccabacacccbbcaccbbaaacbccabcaacccbbbbbcccbacaccbcbccacabccaaacabcaabcacbaaaaaaabbacabccbcbcbaabbaaabccbacccaccaaaaabbacaabaacababbcbbbaaaaccccbcabbbbcccabbbcabbcccacababccbccbabbacccaaacacacacbbbbaacccbbbabbcbcccccbcabbcbcbabcacbabcbabcccbbcccaacbaabbaccabcaabbcbbcaaaabaabcacbbbccbaabbcccbacabaabcbbbccabcbbaaaabcbbcbbaacabcaaacbcbbabbcbcacaccacbacacaaabbcccbcbaabaaacbaaaaabaaacbaabcaaaacabbcbccbacabbbcaaccbccbbacbbbbacabaabcbabcccacaccaaaacbcbabbbbccbacacbcccbacbbbacacbbaacbcacaabcacbbabbcbcaccabaabcbacbbcbaabccccbbacabbabcbabbcbbcccaccbccbbcaacbbbaccbaaaabbcbcbccaaaabaaabbaccbacbacbacbbcbabccccbccbcaacaccbbaccbaccbaaaacaaccccbaabcbbcabaabaccaaacacaacbccccccbccaabcabacaabbbacbcccaabbccacbaaabccbaccbbcaaaccbbcbcababaacbcbbbaccacbababbbbcbcabbabccabacbcbcbcbbcbcbbcbbccababbccaababcacbaabbabbcaaabaaaccccabbacbabccbacbcaabbccbbabacbcacabbacacbbcaccbaabccabacbbcabaacbbccccaabbacbaaccaaaacccaccccbbabbacbbabccccbccaacbcabcaccabcbbaababbaabcbacccbbcccbaaacbbbbcbbaccbbbabbcccccacacabacacccbcaacabcccccbbaccbcbcabcccbaabacbccbaababacacbcaabbbcacabbacccaaabbaacccccaaaaaabacbcabbccbccbcbcaacacacbbbbaacbacbacbaabbabcaabbbccbbcacacaaccbcbbccbccabccacaccacbcbcaaaabcbabbcbbbbcaabaaacbbbacacccacbacacacbbccaccbbbcacaccbaabaaccbbcabacaabcccbcabcaacccbabacabcaccaaccbacacabaaabbacbacaabbacaaacbbbaacabcabbbaccbbacaaaabacabcbbbcbcbcabaaabbcabaaaacacccbbacacaacabcaabbcbccbcbcaccccaccaacacccacbaacaaaababcbbcbbbcbcabbcacacbbcbcabbbbacaccaaabaccabbcaabcbaaacabbccabbcababcabcbaccbacbcbcbcbbcccaacaccbcababacaacacccbcacccccacaacabcacaabcbaaccbcaaabbbbbcbbbcabaabcccbbcbaacbccbabccbcbbaaccccbbcaacbabaacccbcccbbacbcbaacbabbcccaacaaccbaccbcccccbacccccccabbcbaabacabcbcaacacaaaabbabaabcbcaccbabbccbabbbcccaacbbacbbccbbacbbcbabbccbaabbaaaabcccbaabcbabacbacabbbcbbccbbacbacbbcbabacbbbbbaabcbbababcbaaaabbcabbbabbabcaccaccbcbbbbacbcacaaccbcaccacccaccabcaabcaacbbbbcbacbcbbcbbccbbccacbaacaccaccaaabbbccccacaaacbbaaccaacacbbaaccccaaccbbbccacabbcbaccbabcabaacbcabaacbacccbcbbcbcbcabacbbaccbccbcabcbcbacacacbcabbcaccbccaabbcaccbbcbcccbcccbacabacabacccbbbacbcbbbccbacbcabaccbbcbcaaababaabcbbbabcbcccccaaaacbcacbbccbcccbcacbbcbbbcccaaccacbbbbcbcababcbbcccbcbcbbbcbbbcbcacbcaaacbaabaacbccabcacaababbababcbcbccbccaacbaabacbccbbcbaaaaaccbbbacbabbacbbbbacabbbaacabaacbaacacabbcacabcababccbabacbcbaccacaabcbbcccbabaacbcabaccbabcbaacaacccbbbacaacbbbbaabbcacacacbabcabcbcaabcccccaaaacacacccbcbcccbcccbccacacacbcacbabacabcccacbcbacbbcccbaabcacbacacacabcabbaccbbabbaacaaccccabbbbccbcbbaaccbcbccbbcabbbbbbbcabcabcabbbaaacabccbcbbbaccacbbcccbaaacacbbbabbccbbaabcabbccaccacbbbababbbccbccbccbcacabbaabcabaaacabccabcacbcaaabbbbcacbcccbcaaaaccbcbbaabaaacccabbcabbccccccaaabbcabcbbccacabbcabbbbbccaabcabbcbcbcccbcbbcbbbacbcccabbbbababacabccbcabbcbbbaaccabcbcbcbbbbacccbbcccabbaaaacbbcbcbbbbcbabcccbaacacacbcccbccacaaababcacabccaabbcaabaaaaacacabcbccbbabaaacbcbabcabbcacbcaacaaaabcaccbbcbbbabbacbbabbbbacbbaacbcbacbbabacaacbbacccaacbcaacaacacbbcabcabcaaabccaaacaaabcbaccbcbacaacaacccbaabacacbcbcbbbbcbbababbcabacccccbaaabaacbaaccbbbccccaabacacaabbabaccbcacabbbabccbbbbcabacbcbbcbaabacacabbcaaabbcbcabbabcaabacaaaabcbcbaabacabbccabbabbcbbbbccaccbcacbaaabcaaaaabccabababcabbbaabbccccaaaabacbabacbacacbbcbabcacabacccbbaaccabbaacbacababbacacbbbbbbbacaacccccbbbacabbbcaabbbaaaabacbbacacacacccacaaaaabbcccbaccccbcabcacccbccbcaababbccaabbaabbabaaabbacaabcbcccababccbbccbbbbbcabcbacbbbacbbaacaccbaababcaacabbcabbacbbacaacbaaccbbbabaacccaaaacacbaaccbbaaabccaccbccbabbaacbcbccbaaacabaacaabbbcbacaaaacaabaabbbaaabcabacacbaaaabaabbbcaaacaacbbccccbabccaccbccabaaaaaabacbcbaaacabaccccabcccaaccbbcccabccccabcacccccbbaccaccccabcaacaacaaccbabaaabccbccacbababacbcabacabcbbacccacaccccbabaaccabbaababbabaccbbccaccbbaccbbaacccbaabbaabbcabbcbaacbcbaccaaccacbcbacabccbcaacbabbacbbaacbccbcbcbbbccbaaccaccaaccaabcccbccbbabcabcaaabbcbbcabbaaabbccbbbcbabbaacbcabcbbccaccccbcbaccacabbbbbacbbbbbaaabacbbccccbbababbacbbcbcaacbcacacabaccbaabccbbcabacbcbbbbabbabacbcacbabaaccccaaabbcabccaabbbbabaaccbabbcbaaacbbbbbccccbbcabbcacbacbaabccbbbabcbcabaccabcabbaaabaacbcbccabcaabccaaabbaacbcbbabbcacbccbbacbabaacbbbcbabcccbbcbaaabcaabbbcbaccbaaccbaaccaaabcbbabaaacbbbbabbaccbcaabbbaaabbbcbbcbcaaaaabaacaabbaccbaaacbaabcccbcbcabcbcbbbacaaaaacaaaaaabcbbccacccbbcabcbcabababacccbaccababcbabbbbaaabbaacaaabaababbcbbbbbbaaaabacacaccacccaccbaaabcabcbccaaacabcaaaccabccccacabccaccbaaaabbbbbcbcbacbacaaccbcbbbcbacccaaabbbccbacbccaabbbcbcccccabaaaababaabbbbbaabccaccbabbbcbcbbbacbbbacacaaabcabbbccbcabbcaaacabaabbcacbbccbbaccccccaabbcaabcbbccbbbcaacabacbbbbbcbcbabbcbbbaacbcabaacbabccacbccaabcbaacbccaccccacbbababbbabcabcabbccaabbbbbaabbbbcaabaacbabccaaaabcabbcaabbccbcbcbccacbabacaacabbbcacabcbbababaaccabbbcbaaaccbababbbaccaacbcaacbcbcbacabbccccbcccaacccacaccbaccbcaccbbbaabcccbbccbcccbbbcaabaacbabaaaabbbccbbbabaccacaaabbaaaacabaaaaaabcabacabaaaabbabbbbcccbcbcaccbcccabbcabccabcabcbccccaabaabccbbbccbbbcbcbcabaaaaabaaccabbaaccbcbcaaaacacbaabaccbbbbabcbbaaacbbccabcacbaaabcaabaacabaaaacaabbbbcbaabbcccbbabbaaccccaabcbacbacaaccbbaccaaacbababbbabcabbaacccacaccbbbaabbcbcabaabcbabacaabccbbacabcabbcbcbabccbccaaaacabcbccaaaabcbabcbacbbbcbaccaabcbcbcccbbaccbaabcacacacbabaccbbaccaabbbbccbbcbcacbcccacccacaacbaacccccbbcacbabcabaccaabababaccacabcaccbabacaabbbabcbbbccbbaccccaabaabacabaccbabbabaabaccccabbaaaabcbccbcbccbcacbbbbcbccccbbacabcaaccacabbbccaacacacbaaacbaaaacbcbccbbcbcccacbbbccabcbcbbaabbbaaaaabacabaccabaccbccacbbcbaabcabcaccacbbabbabbcbbacccaaccbcbaabacabcbaccccabcbccaabaabbabcbcaccaabbcbcabbbacabcabaabcccababbbcbaaaabbbbcbabbbabcaaacbcbabccbbbcaaccccbcaaccccccabcbabacabbbccbbccacbaaaacaaacabcabcababbaaccbbcaccccacabccacabaaaacaabcaabbcbaaabbcccccabacbacacbbbbacbcbccacccccacaacacccabacbaabbababbaaaaaaccabbcaaaabbcacccbbcaabbcbbcccabccacbbcabbaaabbaaacbbaacbcbaccabcbacaccbcbccacbabcbbababaabbcbbbcabacaaababacbcbababbbccabaaabbcbbbcabaacbcabcbccabccbacccccccbbabbaccaabaacabbbaccbccaacbccabcbabaabbcbabbcbcabcbacccbbbbaacbccaacbbbcabaaaabacccaabbcbcccacaacabcabcbaabbcbbbaabaaabcabbacbabaababcccabcccbcaabbcabbcbcbaccbacabacbacacbacaaabbbcaacaaaacbabbccacabacbcccabaacbbbcbacbbbbbaaaabcabaaacaccbcbacacaaacabbbcbabbcccbbcbcccacbaacbaccbbbabccccbacbbaabaccbacbaaaabcaabbbaaabacbcccacbbabcbcaabbbbbcbcbccccaabbcccbcbabacbbbcbcaaccaabcbcccaabcccbacbbccbacabaabaabbaaacccbbbcaabccaacbaccbbbccaaaacacabbcccacacbcccaaacbbbabbbbcbabbcbccacabaaccbbcaccbbcabcbbcbabbbaccaacabbcbccaaabccccbaccccbaaabbaccabaaacaccabaccaaaaccbbcbaaccbccbbbcbccbacbaabbbabaabcbacbcbbbacabaabbabaabaabbcacbbccbaacbbcccbbcacccbcbabacacabcacbacbbabcabbcbaaccbbabbacacaacccaacbcccbcbacbbcbbcbaacbbcccaccbbaacbbbaabcbaaacbcaaaaabbbbaabaacababbcbbccaaccbccaaccaaaabccaccbccaabbabbbcabaccbacacbcacbacaaaacababacaacaabaaaabacabaaaabcabaccbbbaacaaabbbaababbbccbababbcbbaccbbcacaaccbabbbbbbccccbccbccbbacbbbabcccbaaacbcbcbcacaabaacbbcbcabcababbbaccaacaabaaacbaaacabcaabccbabcbbbcccacbacbacacabbcccccbcbccbcbbbabbbccbbcaccbcabbcbaacaaccaacbcabccaacacbabacccacabccbbacbbbbcacaaaabbaaacbbabbbaaacaacabaacabbaacbcccbbbbbbaabbbabbaccccbaacbacacbccccbbacbcacbbbcabcaccabcbababbcaccacbaabccaaabbacbccacbcaaababaacbacbcaccccccbcbacbbabcbbbbcbbacaacbbacaaaccbbabcccbabcbacbbccbcbbaccaaaacbaccaabbbccaaacabbcaaaacabaaaacbbabaaaabbcaaabbbbbcbccbcacaabcaaacbcbcacbcbcacccabacabbabccaaaabbbbbcbccabbababccbbbbcbbcabaacaabbbcacbabaacbbcaccbcababbbcabacbbaabaaabbacccabbccaacabcabccacbaabbabaaccbbbacbbcacabacbcbbaaacbabcaccbcbabaacbbbabbacaaacacacbbaabccaacacccaaacabccbabcbcbbcaccccaccbbcbccccccaaacccbaabcbbcaaacbccbabbcbbabbccacbbaabbaacacbbccbbaacabbccbababcabaaccbbbbacbabccacbbbbbcaaababcabacababacabbabbabcbbbcbcbbabbccacacacbaccabccbcabbbbcbaabbcbbacbcababcabbabcababaacaacbbbaaaaacabbcacabcbcbcbabccbbbcaaaacabaabbcaccabacbbababbccabacababccaacbcacaacbabaaacababcbacababccabaacccaccbcbbccbcbabbcbaabacaabcbbbbbbbacabbccbccccbbbcacccabcbcacaabacbaababccabbcccccbcccacbcbabcbabcbcccabbcbcacabbbbcabbccbbacbbaaacbccbccabccbaaacaabccaacaaabbcaabbbcbbaabaaccccaaacbaaccccaabaaabbaaabcbaaccaaccccbaaabbccaccbbacccccaacaaacacbcbcbcbbacacabbabacaacccccbaaaccabcabcabcaaabacacbccaccbabcaaaacacccabacccabccbcaabcaaacaccccbbabcababbbcabacbcbbcabacacbcabacbbbbccaabcbabbabccbcbcacbcbbacbacacbbaccabbaccababbcaaabccacbabcaabbbbacbcbacbcacbacaabcaaababaacbcaacbbccabbacbaaacaacabaaaaaaccabaabcabcababacbcaabbaacbccbbbbbacbacaccacbccaabaccbcbabaababccbcbaccbcaabbcbbaaaabbccbbbbbbacacaaaaccaabcaccbcbbbbaaabbcaabbcccbaccbaaaaabccacacbacaccbccababcbccbabcbccabaccccbabcbbacbbbccbcccbcaccbbbcbbbaccbbbbbabbccbcbcbbcacbcbcacacababbcbbcccaacacabcbababbbcaaaacbbbbacaacbcabcacbcbcbcbcabccbacccacacbaaabaaccccccccccbccbcacccbbcbacaaaacaaccbaacbacbababbcbabbbbbcccbbabbcabbcaaacccacbbbcbacbcbbabbcbcbababcbcbbcabcbbccbbcbbabcbaaacabbacabccbabaacccccbcbacbacabacbbbcaacbabacbbacaabaccccbcccabcabbbaacaaacbaaccbbacaababaaacabcaccabcabbacaaacbabaababbacbabcbaacbabcabbbbbabbaabbacacacacababccbaabcbbabaacacbaaabbbcbabbbaccbbbaabccbbcaaccabbcabcaaabbbccccabbbbbacbabbcacaacccacbbabbaccbabbacacabcaababbbbbacbcabbbacabbabcbabaaaaabcbcaccabbbcbcbaaacccacacacbcccbbaaacbbcbbbaaacaccabbccacccccaabbbabccbabccabccbbbcbccabccaccacaabcbbbbabccbaaaaccccbacaacccaaaababbacbbcabbacbbacbcaacbcbcacccaaabacccbbbccabbabaccbabbbcaabacabbcacbcbbababacacbbccbccacbbbbbcbaaabcbcbabaccabbcccabbccaacabbcbcbcbcbccababbbabccaabbbcaccaccabcbbcccccccaaacacbbbacaaabcaaabcbabccaacabbbcbccbaaaaaccabcbcaaabbcbccabbbbcbaabbbbabccbbaacbcccacacaacbbaccacbbcbbccbcbcaacbabcacabbcacbaccbbcacccbbbcbacbbabcaccccbbaccaaabcaacacaaaccbccbabcaabcbbacbcbcbbccbcccaabccacbcabaacbcbcbbccbabcabbacacccacabbaabbaacbbabccabbbbbcbacbabacbaccbcaccaaacbcaccabcbbaccbcabcbaaccbabbbabbacbbcaacbccbcaabbabcaabccacbacbccbbabaabbcabcbbcbccacabcabcbabccccaccbabacabbbbaccbbabaccacaaabcbaacbcbacababccacbacbbaccaabccbbacabbcaaaaaabcccccbacbbbbaaaacccbcccabaaccaaabbcccbcabbcabacbbccaacbbcabacaaccccbccacccaaacbcccaccbacbbaabbbabcccbcbaccaabcbacbbbbcbbcababcacaacbcaacbacccaccabbabcbbcbbbcbbabbcbbbbcaabcabacaaccbabacacabbcccabccbaaacaaabcbbbaabaacccbcccaccbbbabcbaaccabbbbcababbccbbbbababcabbbabaabbbbabbbbccbcbbabbaccbbcccbbbacaaabcbbbbcabbaabbcacaaabbbbccbccbaabccbaabacbbbcaabccbaabbbcbababbcabcbbcccacbbbabcacbbbbccbccaaacbabacbbccabcaacaccbbbcbbcbccbaccaabbbaacacccabaabacaabcacccacacbaabbcbbcbaacbbcbbcbababcbbabbabbcabbccbcabcabbaccaaabaabaaccabbbcbbaccbccbabbacccbbbacaabbacabccccbacbbbcaaabbbbacbbbacccacbcaacbbbcbcbbcccbaabccbcccbaababcbccaaccbabacaccaaaccbcbbbcbbbccbabbcbabbcccbbbcbbacbcabacbabacbccbacbabbbbacbccbaaccbcbcabbcacaaabaccbcbabcbaccaccccabbcbccabacacacbbcaaacbacacbcbabccbccabccbabbabcbaabbcaabccccaacacccbcbccbcaababacbacbabbabcabacabaaaccbbccababcccabacaacaacbbcacbacaacaaaabaabbaacacacbaaaababccbaaabbacbbccccbcbaacabbacaabaccabcababacbcccabaaabaaccccbcabbccacabacbcbcacbcaccbaccaacbbaccbabaaccabbccbbbaabccbaaccbaabbccaaaabacbbbcaacbabcaaaabcccbbcbcaaaacacccbcccbbcacbbaaabccacccaccbbaacaabbacbabbcacabcababaccababbbabcbacbbcbbabcbbbbcbabbcbababcabbccaaabbbcacaaccabcbbaaabbacccaccbcbcbbcbcacbaacccbbcbccbcacccbbbccacbcbbabcccbcaccaabcacbacbaabcbabcabccabcccabbcbbcbabababcbbabacbcbccabbaaccacbccaaccacbbcbbbacacbccbabccabbbbacbcbcbbcccababacbaccabcbaaccaccacacabbacabaaccaacbccbcbabaccbacbaaaaabacbbbacccbcabbbcbcacaacbacacabbbbcbcacaccacacaaaaccabbacabcbcbcbacaaaaacbaccabccccbacbcaaaaabbacaacbaaacabcacacbcbacbabaaababbbacaccbaabaccaacbbcaccccaaccbcaabaacbbabbbbccbbbcaacabcacbcbabcccccbaaccbaabccbcabccbaaaaaaccabcccaacbcaccaccacbaaababccbbccbaacabbabccaaaacabcbbaaacbbcabbabcbbacbbacaaabbacbbaabcacbbcabccbbaabacabccbacaabacabaccbbaaabcaacabcbccacbcccacbbabcbabccacabcbababaabccabcabaaaccbbcabbccccaabbaaaacbcbccabcbcbccacbabacbcababccbbabbcccbaaacabccbaccbaacccabbbcccbabbcaabcbcacccaabbbcbabbaaccbaccbbabcbabcaaaaaaccbccccabbbaacaacabbacbcbcccbcccbacacbcbcbaaccbccbcbbacaacccabbaaacaaccbacccabaccbabbccaabaababaabcabcbcbbcccacaccabbcbaaaabcabcacccbabaccababacbcabacbcacaaccabaabaacccabbbaabcbbbccacbbbcccccbacacbabaababaccacacbccccbcacbcbaccbbacccccccbccbbcaccbcbaaccaacbbabacabbbbcbbccbbcaabbaaacaabbacbabbbcbbcccaacbcbcbabbcbccacccccbbbccabbcbbaaacabacaccbcbcccbabbcbacbcbbcbaaacbabccabcccaabbccacaaabbcccbcccacbbccaaccbccbabacacccccaabcbbbbaabbaccaacccabcaccbaccbbbcaabbacaabbbcaabbbbcacbabbbbccabbaacbbabacccbcabbbacbabacbbbcaaaaaaacaacbbbbcaaabcababcabbcaccccaacbaabbcbababbcabbabccacbbbaccbbccacbaaccaccbbaccaacbacacbaccbaabacacababbcacaabcbaaaccacccaaaaabaaacbbaaacabacbababbacbbcbabbababbcacbbcbcbbbbcacaaacaabaabbaaacaaaabbcaacbabccabbbababaaccbabbaaaacacaaabacbbcabcbbaabbcbcabbabcbbcaabaccaccbcbbbacbcbccabbcaabbcaccbbaacaaaacabcacbcabbacaaaaaccccbbacbccccccaabccbbbbbbbccbcccbcabbccbacbccbccbbacabbbacbabbaacccbacbcbbbabccccbabcaccabbbccccabccbccbbbbbccbbbcabaacaabcbcbacccacccaabaabaaabacbbaccaaaabbcbcbbcaaacccabbaaabcccacbccbabacabcccbacabccabacabacccbccbbcbbaabcbcbbcbcccacbbbacbcabcbccaaaacbacbcacababccbaccaaccabbbbbcbcbbcaabccacbaaaaaaaabbaaabababbacbbbcbaacabaacbbaccbcbacbcbbbcaccccabbacccbabbbcbcbbbabcabacabaacaaacccababbbcaaacbcaaaccabcacbbbabcacacccccbabcbacabaccabbaababbabaacbccabcacccacaacbbbccaaaccccbcbabaaccacbbabbabccabbacabbbbbbaaacabaaccbbacbbacabbaaaaccbcbbccbcbcbccbaabcccaaababaabbabccaaccbbabaaccbaacbbbcaacabacaaababbaabbaacbbcbccababaaaacaccabcbbbbacaccabbaaacacababccbbccabbcbababaccacacbcabaaaccbbbcabcacabbbbbccaaccaabccbbbaabbcbccccbcaaabcbccbbaababcabbcbcabbcbccabacacaacaabacacababbacbcbbbbcbccbcaaccaabbbbaacaccccccababbcbaaabcacaacbbaacababcbbbabaccabacabacbabbbbbabccccbbabbcbbacbbacaacbabbcbbababbccbaacbaaabacccbcbbccccbcbcababbabbbbcacaaaacbcbbbcacacbacbbcacaabaababbbccbccacccaababaaaabcacbabcbcaaabcbcbbcbcababbaabbcbbbabbbbbcacaacaaacccabcacacaabcccbbbacabbbaacacabcbabbaacacabcabcbcacacbabccbcabacaabaaaaccccaaabbaaacabbaabbababcbaaacbcabbbaacbbcacccbbbabbcbcbaccbcbbbcbbbcacbacaccbababcacbcbabaacacbcccbaccbcabbbabaacaccbacaaccabaacbbaaacbbacbbbababaabacaabbcabcbbbcccabcacbbcaacbacabccbaaccabbaabaacaaacacabaacbacccaabbccbcbcaaccbaccabbcbcaaaccaccbcbabcbaaacbbcbabbbbaaaabacacbcbbaccbbbbbabcccbbacbcabbccacbaacccbaaccbaaaaccbabaaacbcbacaabbacabbabcabbbcacabcaacacbaccbabacaaacabaabbcacaaaccacbccbbccbbbaacabbbccccaaaabbacccacbabbacbcababbacabaabbacbbcbaacaaaccbaabcccbbacccccbcbaabcacccaacaaaaaccacabaacaabcbccaaccabacbcbccaaabbabbcbcabcabbbbcaabaccbaccabcccabcacbaabcbaaccabcaaacaaabbcabbcbcaacacbaacbacccacbcaaabccbabaaaaabcaacbabaacbacbacbcaaacaaaaababbacccacbbaaabcbbacabbccbcbccacaaccaccacaaaacccaababbabbcaaccaacabcbbcbcaaaaacabbccacaacacbccccbbabcacbbabcbcababcaaabcacbabcbccbabbbbbccabccbccabbacccbbaabaacbbabaacbcaacababaacababaabaabcabbabbcbacabbbcacbbccaacbccabbbccbabcaacbcaaaabababaccaaabbbcbacabccaccbbaaaccacccbababcbaaacaccabcbcbbcbcababacaaaaacbbbccbbcbabaaabbccbccbbcbcaacaabbaababcbcaaccacbcbccccacbacbabbcababbbbcbbcbaccbabbccbbacacbbcccbaccbcccabbabcabbbcabcaaabbbabababcbbacbccabaabbcaabcbccbbaabacbacaabaacbababbcabcbaaabcabbccbabbbaacbacbcaaacaccccccbcabbbacabaccacaccacbbbcbbcbbbaacaabaccccccbcccacbcabbaabbaacbbbbbaabbccaabbabacbcaaabccaabbcabaabbabbbaabbbaabbabcaaacabbacaabbabcbaabbcbbcccbbcacbbcbaaaaccaaaabaabccbbbacbbcabbbbbabccacbbbbbcabccbccabcabbbababccccabaacbabcbccccaacbccbcabaabcbbcbbcbabcacbbabaacbcaccbababcbcbacaacccaabcacccbccaabbbacaabacbbabaabbcbcbcbbcbbcabcbccbababcacacbccbaaaccaaaacbcbcbbabccabaababbcbcccacccaabbcbacccbacbbcbbbbaccaacaccbacaabbacbbcbcbcaabaababbacbaacacabbbcacacaaabacaabcacccabaacaacacbaaccabbbaabbabaabacbcbbbbabaabaacbabcbbabbccabbbbabacbcaacabbcabbbcacbabcaacaaccccbabbaaaccabcabacaabacabccacaabcbccbacacabccaaaccababacbbcacbaccbcccbabbbbacaabbbacbaabbcbaabbabbccbaacacbaabcabcabbcccbcaacbaaababcbabbbabbbbabacacccbcaaccaacbaccabcaaacbbaabaccaabbaccbcbbbabaacccbcaaaacbcaccbbcaabaccacacababcccbbcccbbbbbaaccbacbbbbccbcbabcaabbcaabbbaaaacaaabbbccbcbbccbcaacbaacabacaabcaacacccbaccabccaaaabcaaccabcacbcbcbcccaaaacbcababaaabcbccbbaacbcaaacbabacbabcbcbacbcabbcbbaccccbccbcbabbcbcacbabbabbccabcccbacbbaababbaccbbcaabbbacaaabcbabbaaaabcaaaacccccaabbbbaaaaaaaccaaaaabcbacaccaabccbacabbabbcbcaaabcaabcacacaaacaaaabaccbbbabaaabaaccbbcacaaabbbababbbccababcbacbabacabbcabcbbacbbcbcbbbabbcaacababbbbacbbabaaabababbccaabacaacbbcbbccacccbbaababaccccccbcbbbccacabbabbacacccbcbacccbcacbbbbaacbabaabcaaacbbbccbabbccaaaccccbbabacbacaacaaacabcccbacccaacbabaacbccaabbabaaabbacbbccabcbbcbaccbcccbccccabcabbabcbcbcbcaccabbcacbbbbabccbcabcbaaaaaaaaccabaabbacbcaccabacbcabcbcbcbcbbbccbbcabbcabccabbaaccaccababcaaacbbabaabccbbabcaccbbacacbbaccbabbcacaccbaccbbbacbbaccbcabacacbbcaaaccbacbcbccaabaacabcabaaaaaaacbcacbccbbcbbaacabababbcbbcbacaaabbccaccbabbcbaabbbaaaabbccbabbabbbbabbbaaacbaabbacacaaabbbbcaacacaaccccbbacccbcbaabcbacaacccbcabcaaacaabbbccaaaccacccbcccaaaaccbbbbabaabbacabcbbccbbccabaccabaaaabcbccbbbabbbcccbcbabcabbbcabacccbbbccaccbbccacabbacccbbbbcaacabacbbccbbcbbacccbbbbbccccaacbcabbccccacaacaababcccbcaccaaccbccbccabbbcaaabbaccbcaaaaccccbccaacacbcccaaaacacccabbcaacbbcacbaacbccbbbabbbababcaaaaabbbccabccbbbcaacaabacbbcaabccaccbbaccabbabbbbcacbbaaaaacacbcabacbacbaacccaaacbaabcacbacccabbcaccbbcbaacbabccaccacccaababcaaccabaabacbbbccbaacaaaabacacbaaccacaabcccbccabbaacabcbabbbcccccbbacbbccbbabcbaacbabbcaccbacaaaacbacaccaabcabbbcbcabcccbacbcacbabaabbbabacccbccbabcbcabcaccbaccccaccbbbbcbcbabbaaaccbbabcbcaabacbcaabcaccccabccaaacbaccacabbcacbcbacbbcabcbcaacbabbcccabcbbccbcaabbabbcaacabccbbcbaababaaabccbcaabaabccbcaaacaabababbbabbacbbccabacbbaaacabbaacbcccaccccabacccaaabcccaaaaaaabbbacabbccaaccccacaabcacbbccbcbaaaabaaaccbcccccabcbaaacaabbcccbbbaaccaaabcacaacabbbccabccbcbcacbaacbbccbcbcabbabacacccccbcaaaccbcccabbbcaaaaabcbbcaccbbaaabbacbcbbabaaccccbacaacaaabaaabaccaacacccabcbabcccabcacaaacabacbcabbaabcbbbcaaaababcabaabcccccccacaabbaaabccacbaaabccbccbacbcbaabacabaabbaaaccccccaababacaccababcbbacabbbbccbcabbccccabbbaacaabbcbccabcabaabbaccaabaabbaaccacaacaaacccbabccbcabacbababbcbaabaccaaacaacbaacacacaacaaaabcccccacbbcbacabbcbcbaababbcbacbaabbcbabccbaaaacacbcccbabccbacbcbbbcaaccccbaacbbbbaacacaacbbcaaaabcaabcbbbbcacbcccaccaccbaacbcabacabbbcaababbbbaacabaaabacccbcbcacacccbcbbacccaaaccbaacbabacaacccbcbacabcbbcacbaaaacaacabccbbbcbbcaaaaacaaababaacbbbcccbbbbaaabcaaacbcbbabcbbcccbccbcababacbaaabccbaabbbcbabaacbabbabbaabcbccabccbabaaabaccacbbaaacaaacbcccccbabaabbccabccbbbabbbcccbbccbcbcbbcbbcbbcccbaaabacaccacaacaacccaccabbcbccaccaaaaaaabacbbbbbbcbbbbbababbbcaabccaccaccabcbbccbbaacbbcbaaccbbabcbccabcabacaabbaccaacacccacbcbaabbcbbaccccacaaaabaccaacaacbbbbabcccaccbcbccbcaacabbbabacaaaaacabcbbccaabbbbbaabccabcbbccacaaabaabbcbbbaaccabccaccacbcaaaaaabcbbabbbacaccbbccaabcabababcacbcccccbccccaacaccbbbbcabacbacacbcccbabbacacbaaccacaccbbcbbaabccaccaccacbbcbbbbbaacbcbabacabbaaaaaaabcbbbcbccacaccbcbccbbaccbbccaccbacabaabbcabbacbcacbccbacabcbcbaacbbcbbbccbccbccbaaababcacabacbbcabcbbccbaabaccacabbcbbabcabbabbacaaaaabacacccaabbcaaacabaababacccbccbcbccacabaaaacaacbabccccaccccccbcbacccacccbabbcabbbbbacccbaaaaabbcccabaabaccabbabcacaabbcabcbcbbaccbbccbcacbaaacaccbcbbabcbcacbabcaccabaacbabcbbcaaacabbaaabacaacbaabbcacccaccbbabbcbabbbbcbabcaacccaccaaaacacabbcccaaaaaaccbbbbaabaababcbcccacbcbcaaababbbcbccbaacaaacbbccabcacbaaacbbbbabcbbbaaabaaacaabcababaaabbcaaabbbccbcaabaaaabbbbabbaacbcbbbccbcabacacccbcaaacbcabcccbbcbcbaaacabbcaacabaabacbbabccbaacccbababbabcbbcbcabacaaaabbacacabcbccaaabcaacbbaabaabaababacbaccaabcabbcbbcbcbbbaaabcaaaacbccaaacccbccbbabbcabaaaaababccaccaccaabaccbcbbabaaaccbcbbaaaccabbbacccbaabcbcbcbbaaaacbbbccacabacccacbbcbccaaccabcabbabccbcccabcccaacccbacbcaacaabbccccabbacacbaacbccaabababbcaaaaaccbbbcabcccaaacaccbbbccbaccbbbbcabcaaacbabaccbbcbcabbacabcbabbaacacabbccaccccabcacbccabcaccbbccccbccaacaccaaaaabbbbcbbaacabbbccacbcbbbabacaaabbbaaacbcbacbabcccccaaacacbccbbacaaaccbabbcccbcbacaccbabaccbbacabbabacabbbacaabcbcbbbcaacbbcabcbcbbbacbcbaaccbaabbbbbaaababccbacabccaabcbccacbbbbcbacbacacabbccccaaccacbaaaaaaacbcaaaaacccbaabaaabcccabbbbaabbabbcbababaccbccbcabbaabacbbbaccaaaababcaaabcbababbbbccbbacabcbbccaaababbaabbccbaaabcbcabccababbacccbcaabccbabccbcbaacbbabcaccbcbbbabccbababaabcbbbababbbaaaaacaabccccacaccacaaabaaaccbbccbabcbbccabbaccacccaaaaaccacaaaabcababcbbccabbbaacbbcacbbacaabcbcabacbbbccacbacaaaacaccbabacbcbbcacabababbcccacccacaabccbaaacccaabcbbaaacccbbabbabbaaaababacbcbbcabcabcbaccabaabbacaabaccacccaabbbcacbcacacabbcabbbbaabccaacabbcaaccbcbbabcaccabccbacccbabcbabcbbaccbbbbaccbbabbccbccbacaabacabcaacbcccbacaaaacbbbcbabbcbaacbacbbacbabcbbcccaabbcaaaabbaccbcacbbabcabcabacbcbcbcaacbababbccbbccbcabbbcabcccccababbcabbcabbbbbabcabcbbcbcbbbabbcbababaccabcabcbabbbcbccabccaacbbbabbabbacbccacbbabbcaaabbbcaaccbccbacccbcabaabcbacbabcaccaaccccaaccbcacccabbcbaccabcabcabccbaaabababaaaaaaabcbbcbcccbbaabbbaacbccabaacbccbcbacaaccbcbbacaabbbbacbcaaccacbcaaacbbcacbaacabccbbcaababccccbbabbacccbbcbbccacacacbbcccbccbaabacbabcbbccbcbbbbbacbccccaaccacccacbbcbcbacccabacacabcbacbccabcccbbaacbacabbbbaabaaabbacbcbbbccaacabbbbbabccaabbacbbbbccacbacacbabacaccabcaccabbbbaacbaabcaaacbcbbcccbacacabbbccaaaaccccaacaacaaccbaabcaabbccabcccbaaabbcaaaccccabaaaccbbbbabcbcacaaaaacaccbcbacbcabaaccbcccacabbcccaacaacccbbbaabcbcabaccacbccacaaaaccabbbbaababbbbbbccccbbcbaaaabaccccbccbbcabcbaaaaabccbbbacacabccbababbcbacacaabccbacaccacbacbccbcccabbbabbaaccacabcccccacbbaababbaaacacccbbcacacbcacbbccaccababcacaabacabbcacbcccaabbbaccbacbccbacccaacccccbbcacaabbbaaabccbcbabcabbcccbacbaaacbcbbccacaacccbcbbbcaacccaccbcaccbbccccbcbacbaabcabbcaccabcccbbbcaaccaaacacaaccaaabccccacbbccaaaabcbcacabbbacccbacbacaaaaabcacbcacbcccbcabbcbcacaaabaabbcaaaccbcbbacccbbcaabcbcbcbcacbcabbaaabcbaaabcaccabcccbbccaacabcbcacbabbbbccbcabaccbaacaccabccbbccbcbccbaaabaababccbbbaaabcccaaaacaacbbbcbbcabccbcbcbbaaacbaccccaaacaaaabbcaaaabcbabaacccaccccaabbbcbabccacbcccbbcccccaabccbcabcababbcbcacccbacbcaaccbbbabccbbbabacccbacbcaaabcbcaaabbcaababccbccbaabcacbcccbcbbcbaababcacacaccabcabaccbacccbaaaabababbcbaabbbabbaabaaaccacbbabccaabcababcbcbacccaaabacbbbbaabcabccccccaccabccbaabacbaccccacaabacccbbabaacabcccacbbabacccbaaaaacaaabbcbccaabaccbbaacbcaccabcccccaabccbcaabcaaaabbcaccabbbcaacabbaacbccbaaacbbbbababbcbaccbbcbaaababcbcccacccbccacacbcbbccacabccbccaaacbbaaabaaaacacbabcccabcbccacbbcaacacccbcaaaabcbabcbaaacabaaccaaaacabaaaccbcbbccabccbccbccabcbaabcabacbcabcabcbacbcbccaabcbcbaccbbaaabbcbbcacccaaacacbbcccacccbbbccaacbaacaabbbabbcaccabcccccaacccbbccaccbaaccccbcabcccbbabbcbaabccbaaaabcbaaacabaabcbaaccbcbbbaacbaacabacbbaabcabbcbbbbbacabbabacccbacaabbbcaccbbaacbaaabaaacaaacabcabaabbabacaaabaababccbbaabcbcbcacbabcacbcbacbbabaabaabcbaaabcbcaaaabbcabcbabbbbbbaabcccacccbccaaccaaaabbcabcbbaabbbbcbcbbaabccbbabacbbccccbcaccbbbcbabbcbcaaccacbcccabbabcbccbcacbcbbcbcbabcbcacccabacaccccacaaaabcbbbabccaabaaaaabababcacbabcaabbcaccbaabcbbcaacabbbccacbbacacbbaaaabbcccaaacacccbaccaacaacccabccabaaaaacaabbccbaaaaaacaabacbbbcbcbaccacbbccbbcacaacbababacccbcbaabbaacbcbbacccaabaaacbaccccabbcabacbbcbbacbaacbababcabccccbcbaacbbcbbaaabacccacbcccbccbaaccbcbabccbabccccbaaabbcccbbababbacaaaacabcaabbacabccbcaabcbbcabccccbbacabbcbbbcbbbccabbabccbcbaabacaaccbcabbcacabcabacababbbcccccabaabbcbcbbacbabacaacabacccaaabbcccaaaccacbccaabacaabacccaaabacacccbaaccaaabcbaacbbcbcaabaaaacbbabaaccbbaccbabbccabcccbcaabbcbacaacbbabbbbabcbbbcbccbbbccabcabbccbbcacccbabbbaccacaaacabbbabacbabcaaacaaabacbbacccccaccbbcacbabcbcbaaabbccaabccacbaaaacbacbcabababcccabbcbccbbaaaabbababbbcbbababababcbababbccbacbbaaabcccacabacaccccccbcccaaacabaacaacacabcccacbabcccbabaacaababaaacccaababbbbcccacccacaccbccabcaacbcbbabbaaacababccbaccaacbbcacaababbbbbabaabaacaacacacbaccbaabaccccaabcbabbccacbccabbcacacbbacbababcaacccbaaaacbaaababbccacaababacbbaaacccbaaaaccbabbcacaacbabaaabbbaacbbcacabaaabaccccabbaaccacbcbbbbbbbaacbcaaaacbbbbcbcbcaccabbccaccacabcaaabcacacabcccacbcaccacaacaccacbbbccbcacaccaaccccaabaaccbbbcccabcbabaabcabcbbccabbaaabbacabacaabbaaaabcacaacaabccabccccaaaaaaccccaaaabbbacbcabababbabcacbccbaaccababbcbbcbbabcccbcbbacbaaccbbcaccccabaccbaccabaccbccccbcccaccbbcacbccbacacacbcbbbbaabbbaaabaccacbbbaacbcbacbbbabcaabacabccaaacaaacaabcacbbcccacacbabacacaacbacbcccbbaacacacabacacacababcbcbcbcbacabacaaacacbbbcaccbbcaccabbbabacccbbaabbacacccccabbbcabbbcbccccbaccbabccbbccccccbaabaabbcabbbcbbabacaaccaccccbbcbacbcabaaacbcbcccabbabcbbbcbabbababacacbbccccaccacbccbaabacbccaccaabaabcbacbbcbcbbcbcacbbacaacccccbaaaaaacacbbbbbccabcacaccbabcbcccbacbcabaacababaccaccabacaacbccacccccbcccbbbbbaabcaaccbaabbaabaaacaabbcacbaabacaaabccbbbbbcbbbacabbbcbbbbbabacccccaccbcbaccbaabaacbaaacabcbbacccabbccbbacbabbabaabcbcaacbcccbbbbbcccccaccbcabacacccbccbbbcbcabaccccccccccaabaccababaaabbaacbbabbbabbcabcbbacbabaabbaacbacaacbbbabbbcaabccaaaccccbacbbabcacabacbcbccacacacaacaaababaaacbcccbbacbaccbbabbabbbaacbabccccabbcbcabcbaaacbbbcbbccbbabacccaabbcaabccccbaacccaacaaacccacbcbbbbabbcbaacaaacabbbaababbbbbcbbbacaccbabcacaababcbcaccbcbcabcaacbbaacbcabbbaacabcacacabbacbbabbabaabacbbaabaccbccbaaacbbccabacacbbbccbcacbabbcbbbbccabbbcbcacbcccacccccbbbcbbbcaaaabbccaccaabbbbccbbbaacbcccbaacaacabaabccabbcbacbbaaccbbbbbcbbacaabcbbcaacbbcbbcccbbcaababbcccbabbabaabccbaccaacbbcccaacbbcccabcbaacacabcababbbbabcabcbccccbaaabcacbcabaccbbaacacccbbbbaccccbabbabababcacbaabaaabbccbaaabacbacacccbaabababaacabacbbbabaaccbbabcacbbbbaacbbbcbbbcbbaacabbcacbaaababaaaccababbaacbabacbaaabacbabbccababbbcabcaabcbbcbcccccccacbccbcacabccbaacbababcaaccacbbacbcabbbcbbaaacbcbbacaabbbbacabbccaabaccbaacbbaaabcaababbcbccccbacbaaabbbcbabccbababacaccbaacaaccbcbbcbacbbaaacaabcacaaaaacbcbabaccacacacbcbabccbcacabacaaabaacabccacccabaabbaabcabbcbabacbbacbccaaaabacacbacbbcacaccabbbcccacaacbcacaaaaabbcabbbacbbcabbabccaacabbbacababccacababacbbcbbcccbbcccccacaacacacaccccbccbabbacabacbbcccaaccacabcbccaabcabcabbbbbabbacaccbbaacbbbbacbabbacbccbcbccbbcabacccbcbcaacabcacbaccacccccacbaaabaaababbbbbcccabbcaabccbcaababccbcbbbccbabbcaabaccabbbaccacccacabccaabbbacbaabccbaccbacaacccabcccacbcaccabacbcabcbccacabacaaaaaaaabbcaaaaacbcccbcbbbabbbccaacabcacbabbbbabaacbacabcbccbabcacabcbbabacccbcbcaacbacccbbacababacbbcbacaacacccacbcabbbcbcbaaaaabbaabaaacaabbcabbcbccbabacccccacccbcaaacaaccbcaabccbacbbbbaababcaaccacaaaaabaaabaabbbaacbbcacabaaaccabcbbbbbabaabbcaacabbccbacbccccbbbbccbaaaacbbacabcbcacbccacbbcaaaaabbabbbcaacacabcabacabbacbbbacccaabcbbccbabbcaaaccbbabccbcbbccbababbbcaacbccaaccaacbccaabccbcabbcccccaccacabbaaaaccbcbccbcaacaacbacaacbaabcbccbbacccacbbaababcccaaabcbacbcaaacbbcbccacbabbbbbaaccbbabcacccbaacbcbccbccacabccbbbccacbcabacaabcccbccbaacccaacaabacbaaaacbcbaaccababaaccbbabaccccbbaccbcbaaabacbbaccabcbbcccbabaaabcacaababbbcccbbacaabbcacbacabcaabbaacbbbababbcabbccbcbccacaacbabcbcbbbacabbaaabaacbacbacaccacbcbbababcbacbaaacbbabbbcccbacbabacbaccacbcbbbbbaabccaaacbbbaccbcbabbccccabacccccbbaabbaabcbbbbbacaaacacaacbaacbbbbcababcaabbcacccaccbcccbaaaaabcacaacacacacccacaccabbbbbabbcaaaabaaaaacbccccacabcbcacbaaacccbccacbccacbbcbaacaabaacaaabbaaabaccbaacbcbbccaabaaabcccbaccaacbaccbcabacacbcaccbbccacaabccababbacbcbbbcbbbccbcbcbaaabbbcaacbcbcaaabcabcccaaabcbcbcacabaaccccbcaaacbcbbabbcacccaabcaaacbbacbcccbcaaccccbcbbaabcbcaccbbbacaacbccccabbaaaacabaaabbcbaacaacacbbcabbbacbbabcabbcaacbbbcabbbccbcaabcbccaaccabbbbccbcbcccabaaabacbacacbcabbbaaacaaacaaaacabacbaabaccbccccaccababcbcababaaabcccacbbbaacbacacaababacbccbccbcbcccaabacccbbbbcaacccbacbaaacbccbaccabbbccacccbbaabcaccacbaaacaaaaccbbaabcbacaabcbabaaabbcbcccbbbbbcaaccbcccbccbcaabaaabbacaaaccabbbaaccaaccbacabcbbaccccbbaaaacccacaabaaabccbbabccbbbccbcaabbaacbbbabcbaccbcbccabccbccbaacccaaabccbacbacacacbbaccccccacbaabaaccacacbacbbbbcbaaccbaccbbbbccbbcbbaaabaaaabacbabcbcccbcacccaaabbbbccaccbcbaabccabccacbcacabccbbacbaacbacabbacccbcccccbbbaaaccabbbcbbbcbbccbbabaabacbcbcbcbcabaabbbbcbcbacccbcbbabcbabcbaabcaaaabcbccbbcaacbbbaabbccaacaccbaabbaaccbababcaacabbccaccbaaabcaacacacbaabbbacbcbabbaabcbbbbaccbbabbbacaaaacabbaaccabcaabcbccbccacaaabbbcaacccacbbcbaabacccabacaaccaababcabacacabbbbccbbacabcaccababbbcacccbcbcbbccccbcbacbcbcacccbbacaacaacacbbacababcacccbbcbaaaabababbacacccabacbbaaaabbacbcbacacabbbccbbacbcaabcacbbbacaacccbcacbaabcaabcbbcbabababacbbaccccbacabbaaabbaaacacbbcaccbacbbbaccacabccacbabababbacccbbbbcaccbaaabcbcaccbaccbabbbbccaccaabbbcaccbcacbaabcbaaaabaabcababaaacccbbacbbaacbbcccbccbaaacaabbcbacbbbaccbcacbbbaaccabccacccacabaacbccabcbacbaacbbaccbaabaccaccccccbbaaabcbaacacbcaaaaabbabcbcaaccaacaabbabcabaabaacccbcabaabaabaaabbbcccccabbacbbaabbaabbbbcaacbaababaccbbccccbaacbccaaaaabaaccccabaccbcccbacabbcabacacababbbaccbaaacabaababccacccabaccaccaccbabbbccabbaacbaccbbcabcbcbaaccbaccaccaaacbccbccbbbabbabaabbbaacbbacbbabaccbbbbcbababacbbcacacabcaaaabbaaaaaacbacbabcbbbcaabcccabbbbababcaacaabbcaabcaacbccbaacbbccaabccaacaabaaaaccbabcabbacaacccbaccaabcbcaacaabcaaccbaccbbaabbbaacccbccccaaacacaccbaaaccbbbacbbabaaabaccbbacaacbbabbcacbbbbccabaaabacccaccabbcaabbcacaaabbacbbabaacaacccbcbbabababaccccaaaaacacbacacbacccbaabaccbaaabacbcbbcccaaabcabcbcacabacabcbabcbcbbcabaacabaabccbccbaaccccabcbbacccbbcacbbbabbccaccbbaababcacacbacaaccaabbcccabcaccababaacabcbbcaaabcbcbbcabaacacbcabcbbbbbaaababbbbbababacaacbcaabbabccbcaaacccaabbbbccabbaaccaaabaaacbbcaacbbcbaccbbbccaabbcbaaabaaccaaacbbbcabaccbabbcbccbbacababcccbaababcbcbccaccbbabbcaabcbacbbbcaccacbbcbcbacccbbbcacbabccaccaabcbaaabcabccbbababbacbabcbcaaacbacaaabccaabaccbaabbbabaacaaaaacccbaccacabbacbcbbcccbcbaccacccbaaccacaccacabcbaababaacbcbabacbaccbbbabbaccabccacaabcbcbaccaabaacacccbbcccabcaccabbaaccababaabbabbaaccbbaacbaaaacbccacaabccccacabbccbcbacbabaababcacbaabbbacabcccbacabcbabaacabcccccbcccbbacacbcccaccbabbacbbbbbaabbbbbabbcaabaccbaccacbbcbabcaabbaaaaaabcabcacbbccaacbbcbbbcbacaabbaacbcbbabcacbaacaacbacababbcbbbbabbccbaaaacbbaaaabbcccabaccaaabbccabaacabaacaacccaabbaaabbacccaacaccbacbbaaacabcbaabbabacbacacaaaaaacbcbccaaaaabbabacbbbccbaacaacccccabababbbcabcbcbcabbccbcbcacbcabccaaaccaacbbbbacbacccaabacbccabbcbbcabaccccccbbbccbaabbabbabbbcbbbcbaacbbbaabbabbcbaccccbbaababaaacaabaabbbbabcbcaacbabccaabcaabaccbccbbbaabccbabacacacacabaabaaaaaccaacbbababaabaccbbbabbcbabcaaababbcabaacaabababbbbcabacbcabbbbcccccacbaabcbbbabcbcbacbbcabcaccaaabcccbcbacbbbbabbaacbabbaaccbaabccbcbacabbccacbbbabbaaccacccaaaaaaababcccbcbbacccbcabccacbccaacabbccbbaccccbbcabbabbccbaaabaaaabaababcabbaabccbaccccbaacaabcccacccabaabaaacabababacbccccccaccbaabbccaaaaccbacbaabcaacbacbcababcbbbbbcbacbbbaabccbabababbcbbcabccacbcbacbcabacbaacbbcabbcbcbcbbacbacbbcaaacabbbcabaacbccbaacaccbbaaaabbcacabbcabacabbbccacabaabbcaababcaaababcbbccbacabcbbbbababbcccccbabacbaccaaabbccaaacaccaabcbcabacaccbcbccabaaababbbbbcaacaccbaacacaaaccaaccccaaacaccccbbbabcccabaaabbacbbaacbabbbcacbaabbbcaabcacbcccbcacaaacccccacaacccbccbabaccccaaccccaccabcaacbcaaaacccacaacaaabbcaacacaccbacbcccbcacabaccaabccacbccbaaabcacbbcaabbaabaccbcbcaacaacacbababbcbabaacbbbccaabaccaacbababcbabaccaaaaccbaccbcabcbccacccbbcaabcacbabbabcbbacabbabaacabbbbbbcccaaaabbbacaacacccacbacabbccbbbabccccbcaacabcbccbcacaabaccbccbababbaacbcccacccabccacccabcabbacccbcbcbcaababaccbaaccaabacccbaacaacbbcbaaaccbacabccbaabbabcaacbabcabbbcccbccbcacaabbcacbbbaccabcaccaabbbcabbcabbcbababaaccaccaaabcabcccaaaccaabcbacacacbacabbaaaaccaaaaaccabacabcaccbabcaaaccbacaccbcaacacccccbcaaacccbacccacaabcacacaacacacbaabbcacbacbcbabcacbbacbcacabaabacabcbabbabcaccaaababcbcaaaaccacccaacaacaaaacbcbcbcbbcccbccaabbaabaaacbaaaaacccbccaaabbcccccbacaaaabcbabaccabcababbaccccabcbcaaaacaabacacbabbcbcacbacccbaabacaccbabbacbcccbcaacccbccbbcbacbabbaacccaccbcbcbccacccbaabbacbbcbccaabccbaaaabbccbabacbaaccbcccaacbaabccbcacbaaabcbcbcbaaaabbcbcabaaaabcbcaababcaacbccbacccaaaabbcbbbbbbccababacaacbacbcbcacababbbabccabcaabaaacabbaacccaaccbbabcbcabccabbcbcacaacccaacabccaaccbbcccbaaabbaaccbccccaccaabcbbacccaaaacaacaacbccaacccaaacbccaccabcbbcccaacbbbbcaaaacbbaacbcababbbccaabcccbabbcbacbaaaaaaaabaabbcbbbbccbcacbbcabbbaacaacbbbbabacaaccacacaccbcabbccaabcbbacbcaacbabbbcbcacbcbcccaacacaccaaaaacbccbccaacbbacbbccbbccbccbbbbcacbabccaacaaabcbacaaabcacacaaacbaccbcacbaacbccbccbcbccabcbcbabbabcbbcabcbccabacbabcaccccaacbcbbbbccaccccabaacabbabccbcaaababaaaccabcbccabbbcacacaaabcbaacbbaacabcccbcaabbaacbcccacabccabcacbabbabaabbccbcaabcbcbaccbbabbbaaabcabacaacbabacaccbbaabbbbaabaaacaacbabbacacabcbbccaabcccbaabbacbbbabacacaaccbabbabaccaccccacccbacbaccbbaabaacccaacabcbccacaacaacabaacacacacabcbcbcbacacaabbbcccbccaabccccababbabccbbaaccbbbcccacccbcccabbaacbaaacacbbcccbbaaabbaaabacaacbcbcbbacbcaaccabacbbccbccabcaacacbaaacbccacacbbbccabcbaacbaabbacbacccabaaacccccaccbbcbccbcbbbcccabaaccababcbbcaacabbabbaacbabbaababcbbccabaacabacbaccccababcbccabacacaabbbccaccbbbcccbcccaaabcccabcccbacbbbaccbccabcbbcbcccabccaaccbabacbcaaabacbaacacbccaabcbaabcabaacbbbcccbababbbbcbaccabbaaaccbabacbccccabccbcacabaaacbcacccaabbbbaabbccbcccbbbcaccacbccbacabbbabcbacccbabaaaaccabcaacbbbbbabbaabbbcbccababacaacccbbabbabbcbccbbbccbbcaaacbcccbcbabcbababacbcabbbbccacbcaacbbabacbcccaacbbabcaabbccbabcbbcbabaaabaacacccacbbcbabaacbacbbcacbcbcacababcbaacacccbbcaaccbbbababbabcabcbbcaaaccaabcaabcbcccbbbaccbaacaacbccccabaabaabcbbcbcbaccbbcbcccacbabccacbccaabcbababaaccbbaccabbbabababbababccacababaaaabcaaacbcabbaabcccbaccbbcaabccbcbcbaabbcabbacbaacbaacbaaacccccbcbbbbbacabacccacbcaacababccbbaabaaabcbaaaabbabbcacaacabcbcbbbabbabaccbaccbaccbaacacacacbbcabcaaaabcaaccabbbbbbacbcbababccccbbaababccbbabababaabcaaabbcbaabaacbabbbbaaabccaababcaaabbbababbacbabaabcabcabccabcbcbbbbabbaaabaaccbbbbcbaaccbbaababaccababcbbccabcacabbabcacbbbaaabacacbccbacbabaabcbbaacbaabaacbccccbcbacbabaacabbcbaccababcbaaacacccabbabacacaaaacabbaabacbababccccbcbbccacbbcbbbaaabacccbccaaccabcccbacbaccaabbcaccbcabaaabbabbbabbcbccbbbcaabbaabbcbbbbcbabbcbccacabbabccaaacbcacaabccababbcbacbbbccccbcaacbaccbbabcbaaabbaccabcbbbbbcbccccbaabcababcaacbaabaaaabbcbbbcbcbababaabccaabcbaccbbaaacbcbcbbcccbaaaccaccababbcbcabaacbcabbbcabbccbccabbcbabccbaaabcbaaacabbabacabccaaacbcbcbaaaccaccbabacbaaabbabcacbcaacaacbacbcbbbbabcabaabbbccacbbccccbbcbbaaacabaccabbcbcbabbabbacbccccbabbaabacbaccbacccbccbbbbbbbbacccccbaacbccbcbaabaaccacccaaccacbcaacbcacbacbacbaacaaccabcccbacbbccbbcbbbaaabcbcbbcabccaacccccbacacabcbaaaababbabbbccacbbaabbcbccbbccaaccbbcacbbabbcbabbbbabcbabccaaacaccbbbabaaccaabbaabcbcabbbaaacacaabaababbacbbabacabaacabababaacccbbbcbcbacabbbbcbcbcbbcbacbcccababccacbcccaabcabbaaacbcccbabbccbccabacbbbbbcbcccaaacaaabacbabcbbbccaabacaabacbcbcaaaacabababaccbbccbcbbbacaaaaabcaaaacbbcabbcaccbacbbcbbccbcaacbccbcababbbbbbbaaccbcbcbcbaaaccabcababbbbcbccbcabcbccbcababbccababbaabbabacccbaabcbacaaaaabbcbacaabbaaccababaccbcbccacaaabbaababcaabaaccaccaaaabcabbbbccbcaacccbbcbaccaccaccbbbaccabacaaaaabbcccbacccabccccaccacabcaccaaabbcbbcbbbbbaccaaccabbbbcbbcbbcabbbabbbcaacababbccabcbaabacbbcccacbbacbcabbacacaaacacccaaababbacbaabbacacbcabcbcccaaccbcbccaaabbccbacbcbbbbaacacbaabbbabbcaccbbbacbaabaaaabcaaabbccbacacccccccbacabaacccbacbcbaaabababaccbacacabbabaabbbbabacabbcbaacabaabbbaaabacabccaaaacacacbccbaaccbcbcbbbcaabbccacbcbabcabccbbabcbccbaabcaacabaacbbababbacabbabbcccabacabaacabcbbbabacacbcccabaacbccbbaaabaabaacbcacbabbaaccabacacbaacbaccccbbacaacbcbacbbcababaabaabccbcbccacabaccabbbbabcaccbabccaabcbcabbcabaccbaabbbbcabcbaaccccaaaabcbcbacbabacabaabbcccbcacbacbbcbbbbbbcbbaaccbbaababbacbcaaabcbbbbbcacccccbccbaccbabcaacbabaabccabacbcabbcacabbcaabbcabbbcabacbababcbbacacbabcbbcbcbbcbbcacbbbbcbaabaacccbacaaccacaccaabaaabbabccbbbccbbcbccabaaabbbccaacabbaccbbbabcacacbcbcbbacbbcaacaaacbcbaaacbacabbbbababbabaacbbbbbccaabcbbbbbabccbbacacbbbacbaccaaacaacbcbcbbbbaccaacbcbababcabaacabccabbcacbabccbccaabaacabbcabbbacccaacbacbbaacccacaaaabababaccaabaaaaacacbbbccbcbbabcabacacccabcabaabbbbabaabbcbccaccbacbbaabbaabbccccbabbbbaaabacbaabaaccacbaaccbaccbbbcbacbacbcbccabaacbbcccbbbcccabbbaacbbccbcaccbbacbbbaaaacbccaabcabbacbcbacaaabbabacaaacbcabaacbbacbbccaccbccbbbccbbaaccacbcccbbbcbacbcaacabbacaacabbaaabaaabcbbcbcaabbabaabbaabaaccacacbccabbcbcaaaccabcabbcabbaccacaabbabacbbabacaaccbacaabacccacbbcccbccacbbcbccccbaacbbacbccbbaacaccacabbacbccbbcbcabcbccbbcbabcbcacbaacbabbcaacbbbabbbccbcbccaaaacabbcccabbcaacabaabcacccbaacccacaacbbccacacbacaabcbacbccbacbccabbcacacbbabaabbcaacccbcbaabccbcaabaaccbabaababcbacbaaacabcaaaabbabaabbcabbcabcbabcabaaabbcabaabaaccacaabacccacbbabaccbcaacbcbacbcccccacacbbbccbacacbabccbacaaccacacbcacbbacabcbccccccaccbbacbbcbaaacbaaaacbcaaccabbacbcbbaacbbbbabcabbaaaccbaacbcccbbabbccccaccababababbbcbcacbabcbacbbabbcaccaaabbbcaccababbbacbbcbbcbbcbbaabccbbbbbaacaaaabbacaacbbabbcabcbcbcbbcaabaccbbbaacccccacaaabcaccaabbcccabaccabbcccbabbcabbcaabcacabccbababaacbbaaabbccaacabacaabaacbababbcbaacaacbcacccacccacbaaabaccbbbabccccaaacacabbcacaaccbaccbccaabcccbaaaabaacbcbababaaccabcccbccacacbcaccaacbbacbcaacabcbaababcabbababaabbabcaabcbcccbbacabaacbcbcbccacabacbabbcbbbaabcaacbbaacbbaabbcbaabacbcaacabcccbcaaaabcacabbcbbcbbacbccacabbcaccacbaacccbaabbacbaaacbabccbaabcacaaccabbcacabcbaccbbbcbcccabcabaacccaaabacaaabccbacccaaacbbacbacbbaacccbcbcabaaacbacbccbbcacbacccabbcaccbbbabcacbabaacacbcbbbbbcaccaaababbaabcbcababcabaaacbaaacccccccacbbcbabcbbbbcaaaabcaaacabbcabcabcaabbbcacaaabcbaaabcbcabccabaababacabbcbaaabccccbacbaabbccbcabababbbccabbccccbbbbacbbbbaccccabbcccccabcacabcbcabcbbabaaccbacacbbccbabcbaaaabccbabcbbbaacaacbabbbaaaabacaaacacacbabcaababcacbbacbbaacabacbabbcabaaabacacacaaccbabbaaccaabbcccccbcabcccbbbbbcccccabbacaabbabbcacbbacacbaccbabcbbabcabcabaacccbcabcbacccbcccccbbcbcbbcabccbcbbbabbaccbcabbcbcacbaaabbbbcacbaaacaaaaccaabccbcabcbabcaaaaabaabbccabababcbaccbccbaacbaabcabcbbbabbbaccbabaabbcccaacbacaccacbcccabbaabacbacbccbbbcbbcbbbbcbacaaccbcaababcbcccbcbccacbacbabaabcabaccbbcbbcbcabccabbacaccabcbcacaacbcbaaacbaccaaaccaacccabcbcaccbaaaabccbacacbacabbbbcaabaacabbbbbaabccbcaccbbbbbbbcccbabcbccccbbbacabaabcaccbabccaaaccbbbabccbbbbbcacbabbaccacaabaccabbaaaacbbcaabbcbaccccbaccccbacbbcbbbabccbcbbccaacccabbbcccccbabbbbabacabaaccaacabbabbaacbacbbbbaabcbacbbbccbccacbaaabcbcacbaccacbbcbccaabbbaacbabaaccbcbcacccbcabcabbacaccbacabbbbbccaaabbcbcbcacbaacacbababbcabbcbccabbbabbcccaabcbcbcbbabcaacacbbabcaabccbcbaabacabcbababbbbcbcacccabbcaaabcbcaacccaacabacaacacacaabccacbbbbbbcaacacabccbbbcbacbbbaabccaababacacbbbaabbbbacbbcbccbaaabccbccacacaabbccbbabbabccacbccbbbaaaacaccaaccaaabcabbcbacbccaacccbaabccabababbabbbbacabaabcacacccbcbbabcacbaacbaacbcacbcbaabbacacccbacbbabbabcbbcbcbcbccaccbaaabcccaaacacaccabbabbbababcbcbacaacccccbaabcabbbbcbaaaacbacbbbbbbbcabcaccbabacaccccbacbbabababacbabaaacccccccbbbccaaaaaabaacacbaccaaaccabcaccbbcabcbcaacccbccbabbababbcbabbcbcaacacbbbbabaababaccbacbbaccabccacbbaccacacbbcccccacaabacbcabaabaababbacacabcbcbbaacbbacaaaabbccccaabababbaaacabaabbacbaabcccbacbcbaccaccaacacbbcbcbbbbcbccaccaacacbccbbabcabbbcacaabbbccabacbbbbcacaabccabbcbbaabbacacbbabcbcacaabcabbbacabcbaacbccccaaaaacbbaabaaaabcabbbaabbccbbbbbbaabbabcbacbbacbabbacccaccabbcbbbbaabbbcbbbbbbcacaaccbbcbcaacacccababccbacccaaaacbcccbcbcacacccabacbabababaaaabccaaabcbcacccbcabcaccaccbbaaababbcbccabcbcaacacbaccbbacbcbababacacaccabbcbcaabcbbaabacabaccbccbbbcbabccabcccbbccbbccaccbbacacbbbbabcbcabccbbbcbbaccbabbcbbcaacabacbaacbbacacbccbaaaccacaabccbcccbcbcbccbaccbabacabaabaababbaacacbcaacabcacaaaaaaccaaabbbbcaacbabbbbabababcacbbaccacabacaabccaaacccaaccabbacaabbbbbbbbbcabbcabbabbcccaacbcacccccbcacaacccccbabccbaacacbbaaabcabacbcbaaacccabbcbaacaaabbcacabaaabbbcbababcbbbabbbccbccabaaccbccbccbbbcabcacacacccabcababcacaccbccbaaacccccaacabbcaaacaacacabacaabbcbbacccbabccacabcbbcbcabbaaabaabbacbcbcacaaacccaabcbccacbbccbbabcaacccbaacbbabacaccacaabccccbcbbbbbaaacbcbbbaabaacbbbccbbacacabacbbabacacbbabbccbbbbcabccaabcbcaacbbbcbacccabcbacbbacabcbcababacbcaaaaacbcabcbaccccccbcbbcbbbccbacabcbcbbbcbbabacacbcabbaccbccbbcaacbabbbbacccababaccccabbbbbaacccbcbcbbbbbcaacaaacccbbcaaabbaaaaaaacacbabaaabbbccbbaacaabbcbbbccabacaaaccaacbabcacbcbbacbccababcbaabaaacbaabcaacbccbcbbcbcabbacbcaccaacaaccbbbcaacacbccccbcacabbaacacabccabbcaabcbababbaccbabbabbaaccabacbcabbbcbcbcbbbbcaaabcabcbbcabcaaaaccaaccbaccacbaaaccccbccabacbcacbabacaacaacbbcabaccbbbabaacacaccbbbbabacaabbabcaaabacabcbaccbaacccbabcaacabbbaababbacbabbcbcbccccbccbbbcbbacbaabaacbcabcabccacbacbbabbcabbccbcbbcccabcccccbbaabbbacaacaaaabacabbbbbbbbccacabcabbccacbaabacaabcbbbcaabbbbaaacccacaacbccbcababbbccabccbbccababccbcaccaaaaccaacbcbcbcbbbbbbacccabcabaccabacbcbaacaabbbcabbccbaabcccbaccacbccabacbaacaabbcacaabcbbcbacbcbbaabccaccbacbbbccbbcacbcacbabcbbcacccabacbbbbcaababcbbaccabacacbbcccbbaabcacbcaacccababbbbabaaaaacbbcabacccaaacaaacbbabcaaccbccbbcbcbbbbaaccabbaaaaaaaccaccbabcbcabaabcaacbabcbcbbcccabbcccabaaabcbaccbcabccacaaaaabbacbbaccaabcabbbbcccbcbcaccabbccabccacccbcbbabaabaccbcccaacaccabbcbaccabacbcbcbccbcaccccaaccabaaacabbbbbaabaabacacacccaaccbbaaaccbaaabbcacaaccbaabbaaccacacbbabacaccbacacbbacbabbabcbacbbbbcabbbbbacbaabcbcaccbbaabbbabbaaabbabbabbcabbbaabcabbcccacbcaaccabbaaacabacabbabbcbbaaabcacbcababbacbcaccbccbbbacabcabcbbaaaccacaabbaccccbacbcabcabacbbccabcabcacbccacbabcbccacccabaabbabaabcbcbaabaaacbccbcacccabcccccccacababcbaccabccabcacbacbbccbacabbcabcabcccbcbaaacbbabaaabbbabccaacabcbaaaccbcabccccbbacbbcbcacaaaacccacbbabaacaccaabcbabaccababcaacbaccabbbccabccbbccbcaabaccbcaabbabbbbbaacabcbbaaaaacaabbaababbbacabccaaaaccbccbbbbbcacacccbaabbabbcabaaaaaccbabcbaaabbcbbbccbbcabccaaaabbbbcbbbcbbcaaabcacbaabbcaabaacbbcaccbcbbcbbaaacabcababbbabccbbbbcaabbccaccaabacacacbaabbbaacbbacccabcbcbbabccaaaaababcbcbbbacccbbaaaccccbcaabbaaacabbbaccabcababccbbcacbaccbaaabbccbaabcaaaabbcbabbbabbcccabcacaababbccabaccaaabcbabbcaccccbcacacabbabbaaaaabbabcbaccaacacbabcaacababbcccaaacbccaccccccbbaacbaaccbaabccbbccbaaabccbaacbaabbabcccbcbabbacaabacbacbcabaccbcccbcacaacabbbaaaabbbcacbbcbaaabccbaacbacacabccbbbabcbccbbbacbbaabababbbabbbacababbccbbaabbcbacbcbcabccabaccabccbbacaccabbabaababcbbbbbabbbcaaccababcaccbcbbbabbcccabaacccccaaabaacbcbaaabbccbabaabacaabbccbcacacabccaabbccbcacacaaabaaaabbbaaabbbabcaabcabbccaacbbbbbbabccabbbcbaaaaaccacaaccaaaabbcbcaccaccccaccaaaabcbbacaaabaaabcbbbcabbbacbaaabcababbabcbccbacbccbacacaccacaccccbbbcacbabcbbcbabcccaacaabababcbbbbaabbbaabbbbbacacccacaccabbcbbcbbbbcabaaabccacabaaccbcbcbabaabacacccaccbcbacabaaababcbcaacbabacbccaccccaacbbbccaaababbbcabbccbbacccabccbacbbacaaccbabbcbaccacbccacbbacbcbccacbabcaaccccbbaabbcccaabccabbbbbbcaabaacbaabaccbcbacbbaccaabaaaabbbaaccccbcacccbbaccbbcbcbbcbcaccccccbccbbcbacbcabbcbbbbaababcccaacacbbaaacaacbaaabccabbacacbcaabaaaaccaababbbbccbcbaacbbbbbcaccbaccbccaaabcccaccbccbaccabbbabbbcbbcacbbaccbbaaabbbcacbacabcaabacbccbcbacbbcacaaacbbcbacabbaabcbccbaaacbaabacbcbbcacaacbaaacaacabaabbcaccaabacaabcaaaaacbccaccacacbbccccbaccccbccabacacaaaccccbccabbbacacaacbcccbbcbcbaacaaaccaaaacacbbbbbbbbaababaabcbabcbaccccaacaccbabaabcbbbaccabcbaaacacabbcbbaaabbaccbccccabbcbcbbaccaaaaabccaaaaacaaaabacbbbcbccaabaabbacacaccbcacaccccbbbacaccccabacabbbcbcbaabbbbccbaabcccbcbbbacbbbbaabaaccbbabaacaaaacaccacbccbacaaaaacbcbaaccccbccaacacaaaacbbcacacbaacbbbbcaaaccbcaabacbbbbbbbcbbaaaccacbbaccbbabbbcbbbaaccbcabacbabcbcabbcbcbbaaccacbcabbcbbbaacccaaacaababcacbaabccacbbacabbabaabaacaaaaacbbacbccaccbaacbccabccaacbbabbccbaccaacbccaacbacbaacbbabcaccbaacaaacaacbcacbcbbbaacacaccccccccaaaacbccacbababacabcbbbbbaacbcbaccaaabaccccccaacababbcccbbabbacccaabbbcbbaabbabbcacabbcccabbabbaabbbaacbbacbbbccbaaaabbaabaccbbaccbcccbcabcabcbbcacbaccbabbaccaacbbcabbcaacbcacbabcaaaaccbbabaaacaabcabbbccccbccbcbcabcbbaabbaacbabbbbbacbbcbbbcabaabcbccabccbcaccbabaaccacbabcbabbbaccabcbabbccaccababaccaacbbabbabbbacbabcbacababaabcabcbcaccacbaabaacaacabaacaccbaabaaccbababcacaacbbaacbbabbcbcacaabcbccbbbbaabcaabaabaacaabcbaaabaccbcbcaabccacabaacbcbbbbacbcbcaaccbbccbccaabbbbabccbcbbbbbbabbccbcbcbaaabaccacbcacbabbbbbaabbbbcabcacccabcaabbabbcbaacaaacbabcaaacbaccbabaccabccccbacaccbaaabbcacaacabbabcbacaaaaabbabbabcbbcbaaaaccaaabababbcacbabacbcbbbbabcabacacacbcccbacabbaabbbbccaccaaaccabcccacbcaaacbcbcacbcbabacabcccbcaaacaacaaccbbbccbcccccaabbbcbcbacbcbbbbacababaccbcbbbbababcccbacacbababcbabacabbaababaccbaccbaabcbbccbccccbbbaacacaaacbbabcabccbaaabbbaaccaaccbbbaacbaccccbbacccbcaacccbaccbbcccacabacacbcabaaaacbcbcbaabaaacbbbbacbccaabcbbacbcbabaacacaacacccbcbcbbcabccaaaabbbbaccacacccabaaabaacccccccbbbabbbbbbabaaacbcabcbccbccacacccbbaaacabbcccacabcabcabbbbccacaabbcaacbcbbaacbcacacccabbabcabcacbacbbacacabbcaaabacbcababaccbbacbcbcbbbacbcccaaabcabcaaccaabbcacacbcbacacaaaaccbcbaccbccbbcabbcbbcccbcbaaaccaabccccabbababbaabcbbbaaabbcabbbcacbcbcccaabaccccbbbcbcaababcccccbacbabacccbaaacabbcacaaacaaacaaaacabcbbabacbbcabbabbcbacbcaacacbcaccbcacbbaaabcabbabccbccbacacbcbcccbbcbbccbacbccccbcabaccccababcacccbbcbbccbabaacccaabacbcbabbaccbaabbbcccaaccbcbcaacabaaacacacacbcbacabcacbaacbbbccbabbacaccaabcbabbabbbaacbccaaabaacbbbacacbaaccbbababcbcaabcbbcbaccbabaababccbbaccaabcbbbcababacccabcaabcbaccbabbcacacbbacbccbbcabcbababbcbcbcaccacaabbaabbabbaccaacbbaabbbaacbcbacaabbcabcbaacbbccababbacbcccacaabaaccabaacbabcccbcbbacbbcacbabbcbabacaccbbabaaccbabcbaaaabacbcacbbbbaabbaaabcacbccababaabcaabbcacaaabcaabbaccbbbacbcbccaaaaabbabbacbbcabccbbacbccaaccacbacacbacacbaababbacabcbabcaaabbaacbacabcaabbccacccbabcabbcabbaabbabbacaabbcacbcacbaaabcbcacccabccccacacacbcaabbbcccbabaaabbaabccbacacacbaaabaaaccbcbbcbacaccccabacabaccbbaabbcabcbbbcacaacbacacaacabacbbaacabbcaaabcbcabbaabbbaaacbcacbbbcbcccbcbbaaaabcaacaabbaabcabbaaaccbccccccabbaaaaabccbbcabcabbccbaacabcbbaabcaccbabbbbcaaacccbcbabcabcbaacccccaabbbacccacbabcaccbababcccaabbbcacaabcccbccaccbcbcabcbacbcaccbaabccabcccbacbcbbcababacacccbbacaccacaabaabbbbabaccbccbacbacbabcccbbcbbaccabccabcbbbccbbccaacaccaaaccbbbaaabcbabbaccbbbbbbccccbcabccaababcabcbccabcaccaccaabaacbcbcccbbccccaaacccacacaabaabacbaacbaabcbacabcbbbcbaaaccbcabbcbacccaacbabcbcacaccaccaaaaaccbaccabbaaaabccacbbcaaabbaccaccccccbabaaabaabccbabcaccababcccabcaccaacbabbacbcabcaccbacacccacabacbccbbabcbbaacccaaabaaccaaccccccccaacbccbbbcabbbacccacbbbbabcacbacbbaaabbcccccacaccbbbacccccbcaacccbcbababcbcabcaabccaacaccbacbbaacaacacacbbaabbbababaccbcaaacabbacabcbbbbcaccbcaacbabababbacaaaaacaacccaaabacbbbcbbbacccaaabbbbaccbbbcacaccbacbbbaccbbcbcbaaccbbbbaacacaaccaccbbbabcbcbcbcccbbcbbccacccbcbcacbaaccbcaababcbbcbbcaabbcccccabccccbaabcbbaccaacbcaccbacaaccbbbcbbbbaccbcccccacabcbaaabcacabbccaaaacacccacabaababcabaaaccacaabbcbbcbcbabbcbcabbbcccbccaacbcccbcbacabacbcbbcacbaabbbbbbcbbcbbacaaabbaacaacacccaabaacbbaaaabbababacacccbaccabacbccbabacbcbabbccbabcbacacbcccabaccabaaccacccbcacbcaaababccccbcccccabcbcbbccaacabcaaccbaacbccbbccccbcbcbcbabaacacabbacbaaaaaabaaacbabaabcbaabcccaaaacbabaacabcbbbabacbaabbbccbccabcacbabbbcaabbaacbcaacacbaccaaabaccbcabcbbaaacaaacabacbcbabacbcabababcababacabcbcaababcaaacabcacbaccccccacbabbcbbcabcbcbcbbbbbacbbabbcaabacbbaaacaababcaabcbcaaccaccbaaacbaabaaababcacbaccacbcabcbbabcabaabcbcbbaaccbcaacabccbaabbccbccbabaaccccbcccbbbacaabacaaccccabcacacbbaaacbbcaaccbccbcaacbbcbccbcbbcaaabccaccaacaccbacbaacbaaaaccabcbaaccbcccbcacbacbacbbabbabbbcbaabbcaacccbccbbabaabbcaaacbbaabababccbbbbbabcbbabaacaaababbabcbaacabacacbbcbbcbbcabaacacacbaabaacabcabaaabcaabccabbbbcabaccaacbaaabaacccbbccacacacccbbbacacccacbbacbaacbcbcbaacbababbcbbbcbbaccbacacaabbaaabcacccbbacbbabccaccacccbacbbabcccccbaccccabbbacbaaaabbbcabababacbbaaabababcaacbccbcabcacaccbcbcccbcbbabcbaabcbcccbbacbcbcbaabaaccbbcbbbaabaccccaaccbbacababaaaababcbbacccbbcaabccaacaccbbabcccbcabbaaabbaabbcbccccacbaabaccbcccbcbaccbabbbccbbabbcbccbbbbaccaabcacccabaacacbcacbcccccbaabbccabcaccbccbbbcabbbcacbcbbbbbccbbabcccaaababbabccaccaabbcabacacbccbaaaabbcbcbcbbcacbabbbbcbabcbbbbaaaabccabacabbaccaccabbcabaaabbacacaacabaabcaccabbbbaaccbaacbccbcabbcccacacabaabcabaacaaacbbbacaacaabcababaccaaabaaacababbcbaacbbbacacababcaaabacbacbbaabbcacacbaccaacaccccbcaaaacbbbaaccccccbbbbbacbbbcababcbacbabaaacababbbbbbabababcaaabcccbbccbcbcbcaaacccbaaaacbccabccbcaabcbbcbcccaabaaaccbaacbabbcacbcabaaccaabaaaacacccccbbaabaabccacaacacbacacbacacccabcbbcbcabaacaacabcbacbbbcbbbcacccccabbaaccccccacbbbabcaaaacbbcbacaacbbabbacabbbcacabaacbcbacaaabcaacacabcbabbacabaacabcbacacccaaabccbaacbcbccbcaaaccacaacaccbbaccaabacccccbcccacabcacabccbcacabbaabaabcbbbccaacacbacaaccaabaaaacccccbabababbbcbcbbbbacabcaccbbaccbaccacbbbacabbcacbbcbcccaababcbcbcacccbbbaabcbacbacbccbcacabbaacabbcccbbabbccbbbaacbccabccccbacbcbaabbabcabcccacbccbcbbccbccbabcbbabcbccbbcbbbababbbcabaabccacaacbccabcbbcbbbcccbacaaccacaacaccacabccbabbcbaabbcbccbabbbaabacbabcbcaaccbaacbcbcabaabaccccbbacacbaccacabacccabccbccbaabbcaaaabccacbaabacccbcaaacaaacaaaabacccaccbcbcbaacabccbacccaaabcbccaacccbaacacaaabbccbcabccbbcabbbccbbaccbacaaaacaacccabccccccaabcaabccacbcaaccaccaccaababbaabbabbcaaaccbababbabbacaacbbccbaacbbbccaacabacbccbbbccbacbbccbabbbbccccacaccaacbbbcabcbaabcccabcbbaabaaaacbcbbcbabcbbaaacabaaacabcabbaacbcabcaaababcacccbcccacacbacbcaaabaabccbabbacbcbababbbcccbacabbabcaacaacbaaacbbaaaaccccabbcccbabbbbcabaabaaaabbccbccabccbaacacaaabaccbaaccabbcbcbcbccccabbccaaabbbbacbabcbaaacabccbbababaccaacbabcaccbbacbbbcbabbbabacaacccabccbbccbcbcbaacbabcbcbbccccabcbccbcacbbaabbacbbabbcbcccbcbcaacbbabbcbbbaabacbbaaaccbaaaacaacccbaaccacabcaabcabaaccbbaababcbccbaabbacaababbcbaacbbccbbcbabaaabbccbbabbbabcbccabacbacbbacabbaccaabaabaabcbaccacaabaabbccccccbaaaacbcaacbbaccaabcbbbaabcbbacbacbbbabbbabaacaccabaacbaabbcacccacccaaabbaabbbccaaaabbaaccabcbaaabbcacbbacaccaaabcabcbcbcabbcbcbcbacabcbbcccaabcbcbbacbbcbbcbbaabababccccacbaaccaaaaacaaaaaacbcaccacabbbbcbaabcbabcacbcbbccbbacccbaabababaaabcbaacabbcccbaabaccbccaccaacccbabacaabcbcbbbbbccaacaaabbbbcbcccaccbcccccbbcabccbaaacaacacbcbcccabcccabbccccccbccabaacaabacaaaaaccaccbbccaaccaabacaccccbcbaaccbaaabcacccbcccaaaacbabccbbcccaabbcccabacaaabaabccacaccabbcbbcabaacbbaccccccaacbccaacbccabcaabacacbabbbccaacbcababccbbacaabaccacbbaacaccababbbccaababbabcaacccbcabcababccaabbcccbaacaabcaacaaaacacbccacacabaabcacbacacbaaacccbaaababcacbcabcacabcbaacbbabcaaccaaacacccbbcbcaaaaabacaacbbabbbbbbaaabbbcaaacbacabcbbbacccbcbcbcbbccbaaabbcbccccbbcbaabbabaacbbabbaabaccabbbcccaabacbaabacabcaacaaaacbabbbbbbcacccaabcbaacabcaaccabaacbcbbcaacbaababaacbcbaaabccbccbabccbbbbbacbacbacbacabababccbbbccbccbcbccacacacacbccbbaaaacbbabcaccbbcaccbcbccbccacbacaabcccaccabccbbbcbababcacbcaccbbcaccbbabaaabbaccaaacaaabcbbabccbccbbbbcccabaacbaccaabcabcbcacacbaabbcacbacacccacabbababacbababccaabcbacabbccbaacaccbcaaacabacbcbbaccaaccbbaabbacabbaabcbacbcaabaaaababcaacbabaacbcacccabacaccaccbbccccaabcacbaacbaaabcbcbbbabababbacabbbbaccbcabbbbcababacbcaaccbbbbcbaabccaccccbbccaaaacacaaabcacccaabcbbacbbbbbbabbcbcacbcabbcabccaacaacbbbbbbcaccaabcaaaacaaacaacabcccaaabacabcaaaabaaccaacbaabbbaaaccaccbccaacacccbbcabaaaccbaababbacbbaaabacaacaaccbabcacccbbbacaaaabcbbababccbcacacbcbabaaabcccccaacaccccabbaccacacaabcaaabaacacacccaabcccbacbcccbcabaaaacabbaabccbcbbccccaaccbcababcbaaacacbbbbacbbcccabaabcbbbcbbacbaaaaacacccaccaccacabaccbacaccaaccbacbababcaaabbbcbcbbabcacaacabcaaaacabcccbbacbbbcbccabbcabbaabbbabbccaaabcbacaccabcccacbcbcbacacabacbbbbacbcbaacbcbaaababccabbacabbaccacaccbacabcaaccacacaabcacabbaaabbaabacbabacbcbbabbbbabaaacacccbaabaacccaaaacaccaaabcccbcbbbcbacbbabbcababababaabbabcbcacbcbcbcbbccbcbabbcbccbcbccbbacccabbabcaabcbccaabcacaaaabacaacacbaaccacaccbcbaacacaacbbacbbbbbccbbcacbaabaccabccbbacbaaababbcaabacaabcacbbaacbbccbaabbacccbbcbbcccbccababbcbacaaccccbabaaaaaabacaababbbcaaabbbbbaabcacbbacbcbaaccbcabbaabacbbbbbaaccbbcaaaaacbcbaabbcbcaacbacabbabbbcccbcbaccbccacccbacbbbcccccacccbcccbcbcbbababaabbcaaccaaabcacccabcbcaaacbbabacabacccabacbcbcabbbcbababcabbabcacaabaabcabcbbacabcbcaaacacaacaaabcacbcbcbbccbbcccccbbbbcabbabcaccbbccccbcaabbbacbbbcccbaabababccbcbcccbccabcccbacccaabacaacbbbaaaabacaabbcbbcabbabcbccccacaacabaccbbcbabbbbabcccaabcaabbaccccbbccccaabacbcbbaccbbcbababaaacaacbbaacbbacccabcaccccabcacaaccaabccabacabcbacbccaccbbbbabcaaabbcbaaacaacababbbbaaaababbbaaabbbacababcbbbaaabcbcccacbaacaccaccccccaaacbcaacaabababbcccbabcbbccacabaabaabbccbaabaaaabbbbaccaccaabcbbbcbbaccccaccabaaccbacacccbabababbbabbcccbabcabbbcbbcacabcaaabbabbccaccaccbbbacbabbcccbacbccababaacbcbcabaaaaccccbbccccbbccccabbaaaaabbbcccabcacccccbabcacccbabbbacbcbccabcbbabbbccbcccccbaabaabcacaccbbbbbbbbaaabbabbabcaabbbbbbcbcacbcbbbabaccbccaacbcbccaaabbcabbcbcaaaaabcaacacbcaacbccaccbcbaaaabcccaccbbccbbacacbcbaabbabbaabaccbcaccabbcbbbaabcaacaaabbbbbbbaaccacabcbccccbabccabcacbaaccbabcbbcbbcbcacccbbbaccacbcaaabbaaaccbbccccbbbbbaacaccaaccccaacbaacbccabbcbabcccbaccbaaccbccaabaaabcccccbbcbbcbccaaabaccccbbccbcbcccaabcaabcccaabccaccaccabacbcaabbcbcacacbacbbbcbcccbacccaccacccacabbbccbccbcbbccbaabaaabbabbbbcbabccbabaacaaacbabccbbbbbabccbcbaccaabbbbaaaabacccccbacccabbaabbacccbaabcbbcbacbccccabaabccbabbcaaccbccccabccccbabccccccaaaccbabcabaccacaababcaaababcbabcbbaabacccababacacabaababacacbabcbcabaabaabcbaabbbacbbcbcabbabbbabbaaabcbacaababacbbbccbcabcbbccabbcccabbacabbbaacccabbcabcbbacacccabccccbbbbcaaacbaaabaccaaabacbccaaabbbcaacabcbacaaaabcbbabbcacccbbacabbcccccbabacbcbbbbacacccbbcaacbbbacaaccaabbccaacbabbccacbbcccbbccaccbacbbcababbacbabcaacabcbaaabbaaccabbaacbcacacccbccbaacacbcabacacaccbacaaaababbacacaaaccbbcbcbbcbbaabbbabbaabababbbbbaaacabcccabbabccbaaacbbbcbabbaaaabaaabacbcbbacbbccbcbcbbbcbbabaababbcbccbbbaaaabaabccbcaaaaccbbbbcccbccbcaaaaacacccbaacbbcaacbcbcacccaabbacbcbbbbaabaccbbccbccacbacabaabbabacccbbbbacacbabbcababbabbbaccbaaccaaaabbaabacabbbccbabacccbbaacacaabcacababbacbbcabbcabccbabaaacbcaabcaacabcabcbacaccbbaacccbaaaaccaaababcaaaaaaaccaabbccabaaccbababacaabbbcaaccbcccacccbcbbbbaaaacbcacbbbaacacaabbbbccaaacacccabacacabbabbbbbbbcbbbacaaabbcbacbacbccbbbcacccbabaccacccccbccabbcabcbbcbccbcccccacbababccacacbccaacbcaacbacaaacbababccaaaabacbaabcacbabacabbabbccbbcbaabbbacbbaccaaabbbcccbcabbabbcabaacbabcbcaabacbacaacbabacabaacacbacbcbcabbccaaabcabacbccbccaaabbacccccccbbbcaacbcbbaabcaabacbaaccbccaaaabcbbcabaacaccbbccabaaacbaabbcbbcbacbbbbbabbbabcbaacccbabbbcbacbbbaaaaaaabaababaacbaabbcaaaabacbaababbaaaaabacaaccbacabbaaababacabbcaaacabcaacbccabcbbbabacbbbcaabbccaabaccbaabbcccbbbacbabacaacabaabbbabcbccacacccacbcbbaccccccbcbacabccabbabcbbbaaaaabacbccbabcbbabbcacccccbaaaabacaccbccbaaacacaaacccaacbbcbbabccababbaacacacbacbbbaaabcabbabcacccbabccbacabaabcbbcaacabacbcccaacaccbaaacbaaaabbacccaaccbaabcababbbaacaaaaccbacbbabccccbbacaccacbbcbacaabacccaccacacccbbbbbcacbcccbcacbbcaabbaabbabcaaacbaabcbbabaaabacbacabaaacbbaaacabcbccbaaabaccacabbabbaccabccaabaacccbcbbacaaccacaaabcccbbaabbcbabbbbcabcacaaabaaaccacaaabacabacaabababacaabcbabacccccaabccbabbabbaabcbbaaabbacaccaacbbccaccbbaaacbacccbacccacbbabacacbbccacabbaccbaaccbccaabccaaabbbbacccababaabbbbacababccbaacacccbabcccaabbbabacaacbcabcacbabbabcacbbbccabacabbbaaabbabccbcabcccaabbbbcccababcbccbaaabaabbbbacaacbcccbbaabbaacabbaabbbabcaabcaaabacbcabbcbacbababbbaaaabbaabcbbacaaacaccbbcbbbccbbbacaaccaacbabcbbabaaacbbaabbbabbbaccababcbbccaacaabacabbbbbcbcbabaccbabaabccacbbaabbacaabbccbbccabcccaaaaaccbaacaababbbbbbacaccbccbcbacacacabcaccaacaccccbccbccccabacbbaccacbaaacbbbcbcaacaabccccbcacaccabcbabaacbaacccbbabcbcccbbbccaabbcbbcbbaacaaabaaacabbbacabcccbcabbcbabacbaaabacaabacabacacccacccbbababaacbcccccbbaabcabcccbaababbcccbcabbbacbabccccabcacaabbbcabaabccccacacabcbcbcbacbacaaababcbabbcaccccaaabbaccccaccccabbbcbababccccbbcbbaaaacacbbcababacbacccbabaaaaccabbccbacaccccaababbacbcbbcccbcabccbbbaabaacbcabcaacabbaaacaacaaaccbaaaabcbbcbaabaccbbcaccbaababababbbaaacaabbccbcbbcbabbaccbacbbcababcabbbcbcbabbbbbcabccbacacacacbbacbabccbbccaacbcaaaaabbaacbcbbaabbbccacbbabcbaacaaccabaccbcbaaacbcccabbbacabaaabcacbcabbabcabaccababcacacaabaaaccbbbccabbbbbabbbbbacbabcbcbaabbcbcccacaabcbacbcbcacababbabbbaaccccbcabaccacccacaaacbcbabaabbaacbabbbbbccabbcbbbcbcbcabcabcbcaccbaaaccbcccabcccbaccccaaaabbaabbcaaabbbcacccbbabbbabcbabcccccabcaccaaccacababaabaabbaabaabbbcabbcaaccbabbcaacacccaaabcbccaaccbbcbbbbbccccbaabcbcbbacacbccaabaccbccacbbbbcaccbcbbaaaccacbaccbcabcbabcbbbabcaacbbacbcbbbabbacabbbacbaaababbbbbaccabccacbccbcbbbaccbbaaabaabcabcacaacbcccbabaacbcbccbabccbccaccaabacbbccbababbcccbccbbaacbcccacabababccababcbccabcbbbcbcabaaabccbbcaacacbbcaccbcabccabaacbacaacabaabbcacacaccbabbbabacbbacacbcccccbaaaccbacaccabcacbbacbababaaabcabbaabababbbccaacbccbacbbcabbbccabccaabbcbaacaabcccaccbbcccbcccbccbbbababacbbbccabababbbcbcbaabccbaabcaacacbbcaabcaacccbabccbbcabaabbcabaabccaabaccccaccaababcbaaccaaabacaacccabbcbabaccabcbccacabaaaaccababcabcbccbbbabbcaccbbccaaabaaabbabacabbcccacbbabcbcacbaaabccaaacccbcbcaabbbbcccaaaabcccaaacaccbaaaacaacbbcbabbcbccbcbbccccabbccccabbabbabcccabcacbcababaacaacabacacabbacbccbaaababacbcccbbbaacbbbcbcbcbccbbbbbbbbcabcbbbccbbabbaacbbbbcbbbabbacaccbbcaabcaccbcbbbcaabccccabcbcbabcbbabbaccabacbcabcaccbcccbccbacbcaacbaccbaacbbcabcabaaccbbacbaababaabcbcbaabbaaaaaccccccabbaaccbbbacbacccbaabcaaaccbbbaacacaacaaaaaacacbbbaabacccacacbcacaababacbcaccbaabbccacbccacacbabcacaaccbbcaabcccbbaaaabcbaacbcbccbccabcaccbbcababaaabbbaabbbbbbcbaabccabcbaababaabcbbbcccccbaacaacbacabcbabbabcbbaacbcbaababaccbbbabcacbcabaacccbbbcaacccacaaabaccaabaabcbcbaccaccccbcacbbcbaabcaacbcaaaaacccbcabacaaabcacbaaabbaaabcabaababbcbcaacabbbcabcbcccbbcaabbbccbcbcacccabbccbacaabaaaaabaaabbccaccababbaabcaccbccaacbcaabcabbccbccabaaccbbbabcacccacabbcbbbabbaacabbacbacaccccacaaccaaaababbbcacccccacbbaaaabbabaaaaaacccbccaaccbbccabccabbcaaaabacbabbaacbbaaacbacbcaabaccbcabaacbabbccbcbaaabcbaccccbabbccbaccbbaccbbccccccbacabbcaccababbacbbcccacccababbacaabaaaabbaabacccbaaccacabbccabaaaacbaccbabbcbbccbaaabbcbbbaaccccacacabbaacaabbacccabcccccbcbbaaacacababbabcaabbababacbbbbacaabbbcabbaaaabcccbccccacccabcaabbacbaacaacccaccbacccbbcbbccbbbbccbbcabbaababcbcacbcccbccaacbcaaaccbbcaccbaaabbccbbbbcabcbbabbcaacbbabbcaababababbccbbcacbbccaaccbacbbbcaacbcaccbbcaccaaabacbacbabcacbbcacbccbbabcaababccbaacbbcaacaacaaaacbcaacbacacacaaaacbbacbaacaaaaaacabbbaaabcbcccacccabccbcababccaaacaacabaabcabbccbacaccacacccccbcccabbaabcabbcbbbcbcbaaaacbcaaaabacbccbaaaccccbaaaacbbabaabcbabacbcccbabaacaccabcbacaacbccabcbaabbacbacaabacabacbcbbaccabcacbcaaaacbaababacbbcaacacacabcaaabaabccccccaaacaabcaacaccaccaabacacbcacbaaabaccaacccaacaaccbbaacaccbbacbabaccbbbbbbabaabccccbabbcaccacaaaacabaaacbcbabbbbaacbbbccbcbbacaaaabbbcabccabbbaabbcabbabbbacaabbcbbccbbcbbbbaccbbbcbcabcbabacccabcaccbccaacccacabbacaababbcbbbacbaaccbaabcbcaabbccbcacacccbabccabbcbccaacbcabbacbcbbbcabccbabcbacbbcaacbaaabcccbaacbcbbbcacbaaabcacbaaaaabbcaaacbcbbcabccbacaabbccacbacbbaacabcabbcaaacccbaaacbbbbacaacabbcbaccbacbbacaaababcabacbacaabcbbcbccbbbcbbcccbcbaaaaccbaaaaacbaccaccacbccbabbbbccacaabaabaacacbabcbabaccabaabcacacbcabbbaaccacacacabccccbcaabacbccbbbbcacaabacabcccabaaaaabcacbabbbcacccbaccaaabbcaaccbbbbcccaccbbbbabccbaaccbbbcbacbbccccababaaaabbabaabbacccabbaaaabbcaacbacbabccbcaacacbcacabcbbaabbcaabbccbccbcacbcbbcacaacccbbcbaabbbaaabaacbcccaacabcabbcbaaabbbbcbbcbaccccccbacccccccbaaacbbcbbbccbcccaaaaabaabbcaacaaaababcbacbaacbabbcccaacbbcacacaacaaaabbabacbcbaaaacbaababcbcabbbbbabcabacbcacbabbbbcabaaabcababacaaaababcabcabbcbacacccabbccaabcaacbcabbcaaabcbbcbabbbccacbcaacbbbabcbbcbbabccaabcbacaaacbcbaccbbbbcbbaabbbbabbccbacabaacacacababcabacabbabaccccaabbaababcaaabcbcccabcbcacbcbabaacbcbcbaaccbbbbbabacbcbbbbcaacabacbccbabbbabacbcbbcaacccccaaacaacaccbcbcbccbccbaccbbcbccaaccaaaccaccbcccbacbbbacacabaacaabcabcabbccacbccbaabaccaacbaaaaabababcbbabcabcccbbbaacccabcbbbbabacccbcbccabbccbbaccacbcabbcbababbbcaaabbbccccacaabbbabacbbcbaaaaacbacbbbbcaccbacccaacbcaabbaacbcaabacbabccbbcbcabbabcabcabacaccbabaacacabbbaaaabcccccaaababacbacacacacbaaacbabbbaacbaabcabbcaccccacaabcccaabaaaacbacccbbacabcabcbaabbbbcbabcbcaacacbacababaaaaaccbabacacbabccacaaabcbcabaacaccbcabcbbbcacbbaacaabcacabababacbcbbacaaabacbbaaaababacccaabbbacaaaccbbcaaaccbaccbbcaaababacbaabcbcaabbabaacbbcabbcabcabaacbaaaaaaabcaaaacbacaaccaaacccabacbcbabbbacbbbbcbacbabacacaccababcacbbbcbbcabcaabccacaabababcaaabbcaabbcbabcacccbbbcbcabaacccbacacccbcbbbbaaccccbcbaccbabcaabbabbbccaccbcabcacbbcbcbaabbaababbbbbcaccbaabcccbcabbabccccbabbaccaaccccccccbaabbccbcaabacabccbccbccbbbcbabaccbccbbacabccabbcacbbcbcaabaacaacbaacaccbbbcccaaacbabbaabaaaccccbcaccbaacccccbccbccaccbcbaccbcbabcbaacaccabbccccbccabbabaacbbcbbabbabbcbacbaacbaabcbbcbabcbcaaccacaccabcacacbabbaacaccacaabcabacaacbacaaabbcabbccabcbbbbcbabacbbcaabbbacaccabbacaacacccbbbaacbbaabcbbcabbcaabaccbbbcacbabbbbcbacaccbabbbbcccaabbaccbcbaabacccbccabcccbbbcbabababcbcccccbccbacbcacbbbbbccaaacacbccacababacacaaababaacccabacbcbcbacccacbabbacbcacabbcbbccccbaaaacbbbbabcabbbcacbacbcabacacaabccbbccbcbabcaabaabcbbcbabaacbbabbcccbcaaacbccabcaccbabbaabbcccaccabbcccacaabbcbcabbabababbabccbbbacaccacabbcbbbabcacacacbcaaccaaaaacbacccbcbcbaacbbcbcbbbacbbccabacacbaabccbbcaccbcccbcccbbacacbbacbabcacccbacaabcbbcbbbcabacbccbcaaaabacaccbbccabaaccbabbacccaccbccbcbcbcbbacacccbbabaaaaccabaabbbbacccbacacabbcabccccaccbcabbcbacccbaacbcccacbbccaacbccaccbaccaaccbabbcababaccbaccacbbbbbabbbbbcaabbbbccabacabbaccaabcbabbacbaacacbaaaccbbacbccbaccacaacbccccacabbaccbcbaaccaabbabcabaaccbabababcbacccbacccbccaccccccccacababcacbacbbcaccaabbcbbbbbccbbcaaabbababaaabacabcbcacabcbccccbbccbbcbaacabbcacacccccbcbbaaacbbacbbbabbbabcababcaaaccabcaccacbcccbbcababcccccbbaabbaabbabaaacbcaccbbacababbaaccbcacbbcababccbaacbcbcabacbabcbccabccbcaabbaacccacbbccbcbaccbbbcbabbcccbcaccbcbaaaaabcabbabcaaccaabaabccbabacacaaccccaacaacaabaaacbaaccacbcccabcbbbccaabcbcbaaaacabbcbbbabcbcbbcccacbcaccacbacbcbaaccaabbbbbcccaabccaabaababababacbaaacbabbbacccacbacbbabbbaaccaccacccaaacaacacbbabbbbccbbccabaabaccabcbacaaabbbbaaccabababaabcacbbbabbbbbcbbcccaabcbcaaabbacabacbaaabaccabbcabbabaacbabacbccaccccaabbabcbcaacbccccabbababbccababcbbbcbcacbbaabbabaabaacacabccbbbccbaaacabbacacabccbaacbccbaaacabbcbaccacaabccccbcbaaaaabcbbbbbababcaacbbbbacbcbbaacabccacaaccccabcbcabaccbabccbaababaccbaaabacbbccababbbabaaaaaacacccbbabccbaccaccbaccbabcaababcaaaccaccbabbbbacccbcbccbbbbbababccbccabababbcbacaaabcbbccacabcbaabccccbbccccccabcbcabbabcabbbbaaaaaaaccbbaacabaaabaccabbcaabcbcaacacbbaaccbbbbbaaacaaacbbbcabbbcacaaccbbccaacabaabccccbcccbbabccccabbacbabacbbaccaccbcccabacbcaccbabbaaacbabcaacbbcccabcbbcbcccacbababbacabaaabbbbcaccacbbaaababbccbcacabaacacbbabcacbcbabbabbabaacbbccbacbcbbbccbbcccccacbabccaaabcbacacabcbbcaacbbcbcbbcbbaacccbacbaabcccbbcaabbbcccaacccbcacacccbcccabacbcabcbaaabbcccbccbcbccbabcbaaabbbbcccaaaccabacccaaabacacabbaacaaacbabbacaaccbccbaaccccacbcbccbbabacbcbabcccbbacbcabbabccabcaccbabcbccaabcacaababababaaaccacbbcbcabcacaabcbbbccbababcaaabaabaccbbaccbabcbccaaaacabbbcccbbaabbcbacabbabbbcabacaccbabaacaabbcababaccbaacacbaccaabbbcbcbacbabbbaccabbbaaaabbcbaabbbbcccbaacabbccccabcacaabcbcbbbcaccaccccccbbaabcccbcabaccbabacbcbaacacbbababbaccabababacaabcabaaabbaababbabcacacbcbcabcabcbccbbcbabacaabaccabbcbbbbcbcbbbccbbcbacbbcbcababbacacacbbccbbbbccaaacacccaabccaaacabaaabcbacbbccbccacbbabbccabaabaccbaaabbccabcccacccbbaaacaccccbaaaaccccbaccabbaaabaaacbaababcbcacabacbacbabcabcaabccbbbabcbacbabcaacabbcbbbbbcabcabbcbbacbbaccbbacbcaacabaaababbcbacbacbcaacbaabbbaacabcbcbcbbbabcbcaccbcbccbbcbbbccbabbabcacaccabaaaccccbbaabbaccabaabbaccbacccaccaacbacabcccaccbccacccbcaabaccbcaacbcbbcccaccbaaabbbacaaababaccabbcaccccbbbaccbcabbbccbbcbcbcccbacaabcabbabcaabcaaabbaccccccbaccacbabccabbababaabacccaccbcabbababccbccbbcacbcbabacbaccbcabccccabccbcaaabaabcbacbccbccbaaccccacbcaacaaacbccbacabababccbacabacbcbbabccaacacccaaaccacaabcccbaacccababacccbaccbbbcabbacccabbccbbbbbccbabcbbbabcacacabbcccbbcbaccacaabbacababcbcccacaabbcccabcccbaccbbabbcaaccaaccbcabacbcbabccbcaccaabcaaaabcbaaaccabbbbcbabcaabaabaacacbbbbcbaacccabacbcbabcabccaacacbabaaabcbaababaccabaaacbabbababccccccaacabaaacaabcccccaacbabbccccbaccccbaaaccbaabbcbbccaabacbccaaacaabaabccbccaabacaabbacacaaabacacbcaaacaccbbacbbcbbabbbbcbbbbcbbbccacccabbbabbacbaacaccbacaabccabacbaccaaccbaaaccbcbccaabbaabbabcbacbcbcbccacaaacaabbcbbababccabbcbbbbcccabcccbcbccacbcbccccaaaccaacbcabcaccbcabcaababcccabbbabcaabbcbabbabaccccbbabbcaaacbcbbccaaabacabbcaabababbcabbaaabaaabbcbacaacabbabbbacbbbbacbacbaabcbabcbacccbcbbbbabbaaaaaccccabaabbacbaacabcbaacccbabaccbcaabaaccababbccabaacccccbbaaabbbaccabcbbaabcbbacaaaacbcbbbaccaaabaabbcccabcbccbcabccccacacaabaacccbcccccccccabaabbbbccacbccabccbabaabbabbbaaaccbcbbacaabcabbcbccacccabbacaaccbabaccaabacccaaacaaaacbaaccbccbaaaaacbbabbacabacaabcbbaaacaaacaacbbbbaabbbcbccbccabcacaccbacccbacbbbcaccbabbacabccccabbccbbaacabaccaccabbabacccbcabaacbabbcaabbcbaabaabcbcacaacaacacbbaabcbbaaaacabaacacbabaaaaccbaabaacaaccccaacaabbbbbaccabbccaacbbaababacccaccabaaabacbaccbacacabbbabacbccccbbccacbaabbabacbcaacacabbabaccccacbbcaabcacabbcccccbbbababcbaaaccbbbccbacccccbbacbcabbacbbcacabbbcabcaaaababaaccbcacccbacabacbbaaabacabcbcbacabacabcaaabbaccabbcbacbacaccbbbaaabcacbaacababaccabbcaacbcccabcbcaccabcabbacacabbbbbbaabbabbbbabaacabbaaaaaacabaccbcbcabaaccaaaaacbbabbcaccabcbaaccabcacacccbccaababbbbcacaabbbabbbcbaacccbaacacbabcaacaabacbbabcabacccaabaacbbcccaaabbabcabcbbabccccbcbaccbbbbcaabaaaacbbcbbcaccabbbbacaaaacbcbccabbcbaabcccbbcccabaabbababccbcbaaacbabbbbbcbacbaaccbbabaababcbbcabbbaaaabcbbacbaacbabcbabbacbabcccccccbbaccbabbcbcbbbcabbbbbcaaaabcabacbcbcaabbbaabacbcacacabcccbabbcbcaaccababcbcabacccacccaccbacbbbcbacaaabcccbcaacacacccccbaabcacbcacacabccacbaabcacacabaaaaaccbaaccacbbbcbccbbccaacccbbbcbacbaacbbcbbbbaaabcccbbbbccbbcaaaacbbbccbbababbccccacacbccaacabcbacacbaabcbcbcccccbcaaccccbabbacbcacbbcbcacabbcbabaaaccbbcaababbbbbcbcaabababcbccbcccccbcbbbabcbacabcbcbacacbabbcabaacccabacabaabbabbbaacaaccbcacccbccaccccacbcbacbbbbaaabbacbbccbcbcaacccaccbbbcabaabbcababcbbcabccbcaccaacacacbacbcaccabcbbaabcbcbabbcabbabaacabcbbcaaaabaabaaabaaccaccbccbabcbcabcababbabacacbcbbabaaacbbbccbcaaccaacacaaaccbbccaabcccccacabbbcbbccbcaaaaaabccabaaacbaaccabbabcccccbcaabaacbaabbccabcaacbcaabcabaccaaabccbcccaccabaaaccbaacaabccbbcaabccabbcaaccaaacbbababbbabbbccbbacacbcabacbbccccbabbcaaaccaccccabbbaacacacacccccbccaccbbacbacacaacaacaabbcbbcbccbbaabacbaccabaabcaacaacabcbabcbcbbcbbbbcbabacabbabcbbacbbaabcccccaccbccaaaccaaabbaaabaaacbacbbcaaabacaaacacbacaabaaaabbcbcbacacbaabbbbbabbcccbaaabaababccabaabcabcaabbcbbcbbccbcacaabbbabbccaaabbbaaacaabbcaaccaabbcaababbcabaaaccacbcbacbbabbbccacbacbabbcbaccabcaacacbbbbbbaccabaccaababcbacbcacabcbbcabbcacccbbcbbbbbabcaaaaaabbcbbabacbaabccbcacccbccbbaccbcbbcccbbbcaccbcaaacbaabcabccacacccaacbbccbbcaacabacabaccbbcaccccccabbacbcbbabbbacacccbcaccbaaaccacacccbabbccbbabcabaacaabaacbaacaaaabccabacbbbabcaabbaccaabbabcaabaccbcbccbacccbcbcccababcccccbbabbcaacccacaaacccaacacacbaacccacccbbccccccaabbcbcaaacbbabcbcbccacaababbaabbccabcaaabcaabaaccbacbccaabbcabcabacbaaababcbaabaaccaacbaccccbbcccacaacaaacabbacaabccbabbbabaabacbbbaaababaaaaabcabbccbbaaaccbcaabbccbabbbabbbbacbccbcaacbbcaccbabbaabcbbacacccbbcbcacbcaacabbabbaababbcacabbbbcccbbaccbacabbcbbcabccacabcaacaaacccbbbbcbcbabaacbaabccbbccabcccabcabcabacabbabbaccbaaaacabbcccbacaabcaaccccaccbcaacacbaabcbccbccaabcbcaaaaabcabbbabbcbcccbbaaaacbbcbbaabaccabaabababaabbbaabbccaccabbbaacaabccbcbccbacccacabbacababcaaaaccbbabbcbaccbcaabcaaaacaaccbccbbcaacbbcbccbcbbbccbccccbcacbbbbccaaabacccaccccbaaacbbbcbbcabacbacabbbbabbabbacaaccbabbcaaccaacbabbcccabbcbaacacccabcaacbbbaaaccbccaacbbcaaabcaaabacabbaaaccacccacacaabcbbccccacbabcbbcabbbacabcbcabbcbbbacbcbbacccbccaaaacbabbaccbbcacbccccabbccbabababbccbbcbcbabbcaccbabccabbacacaabcacbbbaaaacaaaacbbbcbcabccabcaccababbbbaaacbcbcbcabbabbacabcbcaacbcacbaabcacabcccabccbaaacbbbccbaacbbbccbbbcccbcbbabaccccbbcacbcbcaabacbaabbccacabccaacbbaacacbacaaacaabaccbaaaabacbabbcaaccabcabccbcbacababbccbcccccbcbcaabccbbcababcccaacbbbccacacacbbcacacabbccccbaaccabaacccbababbaaccabccaccccbbcbaaaacbcaaacbcbbcabcbccaaacabccccbcbcccbbaaacaabacaabbaaaaccaabbcbbbbcbcaaaaaaccacacccaaccaaabaaccabaabccacabbccabbbacacccbaccbbbcacbbbaababcacacccacaacbbaabbbacbccbccccbccbccccbbbbabcacbbabacbccaaacbbaccacbcbbcacccbaacbacaabbccbcabcacbbabacbabacacbaaaaacaacbaabbcbcaccaacabbcbbabcbabaabbabacbbcccabacbbccaaabbabcbacbabbaccbbaaaacbacabbbaccbacccbbaacaaaaabaccbcbbbcbaabcccaacabcbbccbcaabcaacbbccaababccabcaccccacbccaaaaabbcacbcccabbcccaaaabcaaabccbbcacccbccabaacaabcbaacabbbcacbccbacabaacaabcaaaacaabbcacacbbcabbbcacccacccacbaabcccabbbccabbcbcbabccbabbcbcabcaacbbaacacabcabacccabcccabbccacccbbaccbbbbcccaaccbcccabbcbaacbccaaaaaabccbbaacaccccacacbcacaccbcbacbbccccaccbcccbaaaabbabcccbbbcabcbccbbbbbcaababcbbacbabcbcbcabaacaabbbccbbbabacbbaacabcbaccaaaaaacaabccbccbccbcacbcccbbabbcbabaabcacccccaccabbacaccbabaaaacbabbabbacccccbacbcbbcaccbcbacaacaabbaabcacaacbcabacbcbcaccbaacbbbbccacbabbbbaabaaaccacbacaaccbacbcbabbaabcbaaacbaabaaccabaabcbbaaaaaacbcaaaacbcbbaabbccccccccbbababcababccbbacaaaacaababccbbabaabcbbcacbbbbacccbaaaccbacacbbabbcbbcaaaaaaccabacbabcbcabbbaccbccbaccabcbbabccaacababababcabaabbbaacbabaacbacabbbbacaaccbcaabbcbbcabacbbacbcabbbcacbbaabbcbbccbbabcbbcbcbcabacbcbcbcbaaaccbababcbabcaabbcbaabcbbcaaaacacccabcccabacacbbbcbcabcaabcaaaabcacbabaaabcabbbcbbbabacbbcbbbccabbbaaacccabacacabbabaaabcbcbbbbaaccbbbababacbcbababbbcaabcabbaaacaaccccabbacaccbacabbbaccaaccaacbcacccccbabcbcbccabaacabbaabacbbcbbaaabaababacaaaaacaccabbcaaacbcbbbabaaaabcaaaaabbabbcabccbbcaabbaabcaccacbaabaacbaccacacbbcbbcbaaaabcbaccbaacacacacbaaccacabbcbacbacccbabccbcaacacacbbabacbabcabbcccbabaabbbabaaccbcabcabcccccabbacccccbaabbcbbcbcbcbbaacbbaabbcbabbacababbcccbccccbacabccbbacbccacabaccbabcaabccbacbccbcbbaabbababbabbabaaacbbaccbbcacabbbcbbbccbbbaaacbbbcbaacabbbccabacabbbcbbbbaaaccacaaccbccbacbbaacaaacbcabcbbcbaacaaaaaabcabcacaccbbbbccbcaaaaaacacabccabbabcaaaaabbbcaabbbbbcaacacbbbbbacbbbcaaabcbabbacbaacccacccbccacacabcbaababacacabcaabcbccacbbcccbbbcbbccccccabaaabbabcaaccacbbacabbaccbcabccabccaccbcbbbccacaacbbbbbcbcbaccabbaacbbcabbcbbacbaabccbbabbbacbbacbbcbbcbbcabacaccccbcbbcaccabbabcbcbcbacbbccbbbbccaccabbbcacbcacbaaaaacbacbcbbbacbbacaccaabcbabcaaccbcbcccbcabbaabbcccbcbaaccacbbcbcacbbbabbbcbcbbcbacccaacabaaaaccaacccaacacabcabaacaacbbaaabbcabbcaccbbccbacbabcabbbcabacbccbcccababbcccacabacaaacabbaaabccbcaacacaaacbcaaabcbcacaccbbaaacbbbbbccbaccbbcbbcaaaabbaaabcbbbbacbbcabbaaccbbcbaabcaaabaaacccccabcbcbbacbbaaabcbcbccacbabbaaaabbcbbaaababbbbbbacbbacaacbbabacbacccbacbababaaaccacbccbbcaaacbabacbbacccbaacbcbaccbbacbbcbbbbaacaaccbacbcacbbbabacacacbcbaabcbbaabccccaaaaaabcbbbcbaacacbcbcbaaccabbabaaaabacbcbbaaacaabaabbcababbbbbaabcaababacabaabbcaacbbccaccaaaacabbacccaabaabbabcabbbcaccbbbabccaaccacaabbcbaaabccbbbbcccabaaaabccaccbaaaabbaabbaccccbaaccacbbacacaabccabcaabcbacbbacbcaacbcccabccaabaabbabcbaabbbacbbacbbbabaabcbbabcaccabccbacacbccbbcbcbababcaaacaaabccbccabbcbbbacaaccbccabcccacbcbcaaabacaaacccabacbacabbcacaabbacaaccacbcabaccaccbcbabaccbababaaacabababbacabbacaacbccabcbbcaabcbabbaccabababacaaabbbccbbbbcaacccbbacabaaaacbacbbbbbcbbcbabcabaacbbacbcccbbcaaaccabbbacabbababbcaccbbaaccbccabbacbbaccccaabcbaaaaaabbcbaaaaacababcbacbcccbbabbaabbabccbaabbaaaabaaaccbaacbaaaccabcbbaacaaaaabcccbbabaccaabcaccaaacbcccabcccaababbccbabaacbccabcbbacacbaabacaabbbacbcaaccabbccbbbacbabaaacabbccbcacaacccbbaaacacabbacbcbbbbbabcbbaaabbbcabaacaacccbaabcabcbbcaaabbbacbbbbcaabbccaabbbcabbbaaccaccacbcbcaaaacacbbcccbbabbabbccbcbcccbbacccccbaccaabcbcbccbabacacacbccccaccbaccaccbababacaaabaaacaaaaacbaaabcaacacbabccbaccaabbcbcbcccabaacbcbbaabccacaaccbcaaaacaacabacaccabcbccbcbacbabcbaccbccacaaabbacacacbacbcbbcbcaabacaccabacbbbcbcccbccabbcbababaacbaccacacabccbaccbaacbbabaccbabcccabbbabcbcaabacababbcabbcabaababbccacababacabccaaccccbbbbcbbaaacaacccbccccbbcbacbacacccbbccbbcccccaaaacbbaaabacbcbbaabbaaccbbcaacbcbccccbbccaacbaccaabaccacbbbabcabbcaacbbabaaaabcacbaaaacaaaacabbaccbcbccbbcccbaacccaccccaacbababbccbacccccaabaabaaaabbacaaacbaaaabbcbcbacaaaaaacaabaababbbacaccbacabbabacacacccacbcbbacabbacbccbcabcaabccacacabbbcccbacbbbbcbbcbcbaabbacbcccacabacacabaacbcbbccbaabccbabaabbcaacccacbaacbbcbaaaacbcbccaaaabaaaabbaabcaabcccbababbcbbacaabbcbbbaccacbbcabcccababbbabccbbbbbbacaaabbaabaacbcabbaaacbbbbcbcbabaabccaccbbcbbcabbaacabccccacaaccaacaacbbcccccacaacaacabbbaaacccbacaabacaccacbacccacbbabcabcbbccbccccbacbaaabcaabcccacbcaacaacababcbbcbbcccacccbcbcabbaccabbabababaababcbcbabccccbabacaaccbcacaacabacabaaacabbccbcccccbabbccbabaaaccaaacabbccccaabacbbaccbbabaccabbbcbccbccababccbabcabbbbcacbbbbaababacbbcabbcaacaccabbacabaaabaccabacaababcbcbcbacacabacaaabbcbbbcabbcabbbbabbccbccbcabbbaccccaccccbbbacbbbcaabcccbcccbaababbacccccaabaacbccccacaabcbabbbabacbcabcacabbbcbccaaccaaaaacaccaaaababbcbcabcbcbccaabcbcacabcaaacbbabbbbbcacacbbabbcacabbcacaabbbcbbaabaccaacbacacbaabbccbacbcbacacbcabbbacabbbbababaabcbccccbaaacbbbcbbbaacccbcaacbaacbacbabaacbbaacccbcaacccaaaaacabbbaaabbcaaaacbbacbcbccbbbcacaabacabbbcbbccaaccabbbaabcbaabbcaccbcabcbacacbcbacbcbbabccbcacbbabababbccabaacbacaabaccbcbaaacccbacbcacbaaabbbccbbbacbaababaaaaacbbcbccaacbaaacbaabbabbacccbaaabacbcbbaaccabbbaabacaaaabbbbbccccccbbabbabcabcabbcacabccbcbccabcabccbccbabbbaacacbabaccabbbababcccacabcaabbbcbabbbbbabbabbaacbbbccaabbbcbabccbbcabbcbcbbbaccbbaccbcacbcabcbababbacabbabaaccacabcbbbcccabbbcabbbccccbccbcabcbabcabbaccbcbabababbaabaacbcaaaacacaabcabbccbaaccbaaaabacbbccaabaccbccacaacbbcababcccababccacbbbaacabccbbcbbaaccaccbbabbbaabacaccacbabbacbaccacacbccbaccbbbcabcacccaabcacbacabbbbbbabbbbacccbcacacbccaabacbcaaabacaccccbbabaabaaabbaabccccabaacacacbcbbabcababaaacbccccbabcaccacccbbacabaccacbbacacabbbbabccacbcbbacacccbcbababcbabcbccbababccacaabbbabbbcbbbbabbabccbbbaabcabacacccaaacbbacbcccacbcbcbcaaacaaaacbcabcacaabacabcabccacccbbabaabbacaabacabbacbacbababacbcbabbaaabcaacbccccbbcbacbcaaccbbcaaacbbabccabacbabcaccbcabababbaabcbabacabbbbbaacabaabcbbbbcbcbabcbacaabcaaabcabbabcbabbbbbaabaabbbcabaabbcbcaacababcaacbacaaabccbbccbaababbacabbabcabacacabcbbbcccaaabcbcccbcbabcbcacbbbbcbaacbccbbaabbbcabccbbcbacaaacaaaccbabccccbacbbcbbccbacccccabcabbaabaccbabbbcccbbaccabbccbaaaaaabcaabaccacbcbacacaabbbaaabcccbcbcbcacabcbabbcbbcabbbcccabcbbaabbbabcbcaaacaaacbbacbccbcabaabbaabccbbacbcaccccbbcbcccaccbbcbaabbcccaaabcaabbabbaaaabcabcaaabcbcccabbbabbabccbaaaccacabccbcbaacbbaabcbacaacaaacbbbcacbcbbaaaccbbabaaaaababacbbaacaabbbaabacacbbabccaccbabccaabaacbacbbcabaabcbbaccaabbaacbabcbbcbcacaabbccccabbbaacbbcbabaabaababaabbabcbcabaaacbccaacbaccaccccbbcaaacaaacacccaacbcacbaccabababacacacbbcabacacabbabcccbccbcbabccbaacabbabcacccbccbcabccababcbabaabaaacbbbababacacccbabcbccacbbbccabbcacbbbaacbacbaababbcabcbcabababbaaabbacaaaacbacaaaacccacbabbbbabbcbcaaaabacbaacabacbabcbaccabccbacacbbbcbbccbaaccbbaabbabbccbabcbbcbbbbbcabcbbacbbaabaaaccacaacaaacbcccaabccccbaababcacccbcabbcccababbccacccbaacbbcacbaaaabbbbcccbccabaccbccaaccacccacbbababccbccaaccbabcbbccbbbcaaabacbccccaaabbcbababccacabaaccbaabaaabccccababbaacccccaabbaccacbacaabaccbbcbbcbcaccccaaacccbccbcbcaccbcbbbacacabacbcbaaabaaabcacaaaaaacccabaaaababcbbbaaacaabcaabbbcbacbabacababcacbaccbcacaaabcccaaccbcaaaabcbcbbbcbccaccaaaacaaacbaccabcaaabccabaccbbacacaaaabbcbacabacbbbaacbbcabbbaaccabbbcacbccaccbababccbcbababacbbaccccacabacbbcccbabacccbcaabcbabcbbbbaabacaacaaaacbcccaaaccaaccacabaaaaacaccccaaabcbcccacbaccaaccbaccabcaaababcacbbcacbaaaccabcbaaaaacaabbabbcbcccbcaaaccbacbcaccbbbabcaacacaaabcccbbaabccbabacbaccaaccaacabbcacababbaabccaabcbcaabbabbaccbbccbbbcbbbaccbbcbaccbbccaccbacccabacbbbbabccccabbacaaccaaccaccbaccacaaabbabcbbabbcbaabacbccababcbbbbaacbacababbcabccabacaabbcbcbaaccbbbbccabcacbbabbcabcbbabccbabbabaaaccbccaabbccacccbcbacbcacaaacaccabbbccaccabcaabbcacaabbaabcccaabacbabbbbcccbabcbbabcbccbabbbabacbabaaaacbbbcaaccbcbbacbaaaccbcacabaaaccbaacccaabbcbacacbbbacbbacbacacaccabaaabbacaaacabbabaabaacabbbbbaacababbacabacbacbbaababbcabbcacacbbbcacbbcaaaaaaabacabaacbaabbabaccabcbbcbcbabcacbcccaabbaaccccccababbababacbbbbcaabaaacccacacbbacabbcabaabcbcbaaaccabccbcaacabbabcabbcccbcacaacbccacccabcaccacbabbcbacacaacabcbcabcabbbabacbaabcabbbaaacababacbbccbcaaccacaabcccccccacbcabacbaaacccbabacbaabccbcaabcaaabcacbbaaaccbbacbccaacaacacbaabcabaacbbbababbcaccbbbbbbbbcaacccbaacaaccabcbcaccbcbbccccaccccaccabcabcaccccbbbbbbcbbabaacaacccaaccababbbbccabcbbacaaababbcbaabbccbcabcaccbabbccabbabbaaccbbcabcbacccbbcaacaaababbccaabaabbbbabbcbbbcbbacacccaabbcbbacccacabcccabbabcbaaabcbababbbaacbbaccabcbbbbcbccbacaaabacaaabbbbcbcaaccacbaacbabbbbabccbbbababacbabcccacaacccbaacabbcaccababbcaabaaacbbabcbabbbcabbaacaabccabbbabbaabccccababccacbccbcaaaacaaaacaabcacaacacaababcccbabbbcacacbbcbbcbacbaabaaabbababbacbccabcaabcabcbccbabbacbaaccaabcbabbcbaabbbbbaccbcbabbacbabccccbbbcabcbcaabcbabcabcbbcacabbbbabcccaccccacbbabcbbbbbabbcbacbbbabcabcacabbcacacbacacccbcababbbcbcaaabbcbbaabbcbbaabcaacbaccaccabcabbccaaaccaacbaabbbaaaccbbbcccbaaababcbbcbcbabacbacacbaaccaacacbbcbbacccccbbaaacccbbbccabaaabbacaabacabcacccbbaaabacaacbaacaaccbbbcaccaccaaababccaaccaabaabbcabcacbccaabacabcbabbacbcabbcabbabacabbcbccbbaabbbccbbbbccbbbbbabcccbacbababbacbbcabababbbcbcabbbcabcacaabbbcbcbbbacabcccbccbccccbaabbccbbbbbbccbcbbaaacccabbacbcbbbcccbccaaabbcaccbacababaabcaaabbbbaabaacbbacbaabbababcbbabcaccabbaabbcbaccbaabbbabaaabacaabbcbacbbabcbccbabbbaacaaccbccbbbabbbaacbacccbaabaccaaccacbbbcbcaccbcacabbacbbbcccabbcacbacaacabbbaccccbccacccbaccbbabbabbcbacabccaabcaccaabaacbccccaacbccacaaccbacccbcbacabbbacaabbbacbaaccbabcbcaabbbbcbabaaaaaaccccaacbcbbbbbbccbcccbbccbbcbababaacbacaacbaabccbbacabcaabbbbccbbbacacccbacccaacccaabacccabcaacbbbbbbaacbbcabbaaacbaacccaccaabbbcaaabaacccabbbccaaababcacbbcbcccccbaccbbcbacccaaacacbccabcccccbbbcaacccccbaabcbbaabccaabacbacabcbaabacbaacbbacbacbccbaaaabcaaccbccaabcabcccacaaaababcbababaabcaaabcbbbbaacaacacccbbabbaaaaaabbabaccbcccbbccccabcbbbcbbbccacbaacbcabcababcbaabcbbacaaaccaaacccbcccccbaaaccaccbbcacbbcaabbccbbaaaacaabcabaabbbacbcbbacbaabbcacacaccccbbbabaaccaaaccbaabcbcbbacbbcaaccbcbacaccabcaabbbbcaccbcaaababcbcbcacbaccccabbbcbabaccccabacabaababcacaacbcbbcababcbcacbcabcbccaccbacbcbaabccacccacabbcbaabccacbbcacbacbacbabcbbabbaabcbacbcabbacabbccaabbbbcaccbaabbaaaabbbbbabaaaababacbbbccbbcabbbcbbbacbaccbbcabbcccabcaacaabbbcaccccaccabbacccccbccbabcbcccbacabaabcaacaaaacccacbcaccccccabbcbbacccbcaabbbaccaaabbabcbaccabbaaabacaacbabcacbbacaaaacbbcbcccbbaccacacacabaabacabcbaabaabacbaaaabcccaababcabaaaabbabbaacccbbabacbbcaccbcbbaabccacbaaabbbcbbccbacbcbabccabccccccccbabccaccbccabaaaaacaabcbaaccabbbbccccacabacabcbccaccacbaaaaaccbacbbaabacbaaabcccbccabbbaacacacbaacbabbababcbabbbccbcbcbacaababaabbbbaabaabaababbbcacababccbcbacbbbabbbacabbbabbcabbcabccaabbccacbccbccbcaabbbbababbccbaaabcbabbbbabaacbcacbaacabbcbcacbcaccbbacabcccaacbcabccababbabbaabcbcacabacaaacaaabbaacaccaabacccacaabaccbccbccaacbbcacbcabbbbaaabbaccbcaaccabaabbcaaaaaacaaacbaccacbabacbbabccacaaaacbabaacbccbabbcbabaabababcbabbbbbbbbaccacbccbbabaccbccacacccabbabbacbcaccbcbcbbbbbbcbabcccaacaaaaccacccbcbcbbacacbabcaabcbaccaccbccbbbacaacabbaccababaaaaaaaccbacccacbcbaaccaacbbcbbcaaabbaaabcbacccccaccacaacbbbcccabbacabaacaabccccaacaaaaabbbabbcaaacabaabcaabbbbbcccaaaacacabbccbcabcbaccbaabcaabccbbbccaabbcabbbbababaaabacbaaccccbacabbbbaccbcaaccbcaaabcccbcbccabacccaacbbaaacaccbcbacbcbbbcacccbabcbcbccccabaaacccacaccccbaccbabcaaacaaacccbaaaaacbacbbabbacaaccccbabcccaaabccbcaccacabbbbacbcababccccaaaccbbcbbbbaacbabcbaccaabbcccbbcbaaacccaabcababccccacbccacbcccacbabaaaabacbcccacbbbabbabaaaacbbabacbbbaaaacbcccacbccccccccccccccccccbcabaccaccbcbccbacbcbcccabbbabbbacccacccacaaaccabacacbbabacabbacbbbbacaaabcacbcbbacaccaccaabcaababccabbcbccaabaccabacabbaaaccccaababccabcccbabaccaaacabcacacabcccbbaccabccccccbccabbabbcccccbcacccababcaacabbbacbbcbcbbacbbcbabcacacccacaccacbbacabccaabbbaaccacabaacacacbbcbabbbcbccabbacccabccacbcccbbaabaababcabbcaaaccabbaababbcbbbcbaccbbbabbabcacacbcccabaaccacaacbababbaaacacbacacbbaaccaaacacaaacacaabaababbcbbcaaaccbabbbabcaccbccbaccabbcacccaabbcaaaacacbcccccbacabcccabcbacaaabaccbabacaabbabcaccbaaabcacccaccaccccabacccaaabbcbcaaacccabbaccabacaaacbbbaabbccbcbcabbccaaabccbbbbbabbacccaaccaaccbcabcbcbcbacccbcbacbcbabcbbbbcabbbbbcccccaccbbacacbaaccabbbcabcccbcacaabcccaabbcaacbbaabccbaaababbaabbacaaacacbaaabcabacaaabccbcbbaaacbcaaacacaabccaccacabbabbccababbbabcaacbcaacababbcacaabccbbababcbacbcacabbacbcbccbbacbbbaacabcabbacbbbacabaabccabbcaaccbbbcabcaabcccacccaaababbcacaabbacbbbbccccbcbbcbaccaabcaaacabacacccccacbaaababbabaabcaaacabbaaccbaccabbcbabcbbabccaaccbcbbaababbcbcacbababacbbcbabcbcbccbbcaacaababcbcbcaaaaccbccaaabccaaabcccaaabccbabcbbbabcacaaaabacccbcbaaababbcaaabbbabccacbaccacbbcbcccaaabacbbbcacacbcbabcbccacacaaccccabcccbbbcbbacacccbabaabbcbbbabacaccaaccabbbabcbcbccbcaaaabcaccbabaacaccccbbcbcacaaaaccaccbabacaaaccbaacacbaccbbbccbbbbcaaaacbbaabccacacbccbaaabbcbcbcbaccbcbaaacccacaccccacaacabcabbcbccabbbbbcbccacaabcbcaabcabbbcbbaacbaacbcbbabababccaacaacbbabbacbbccbccbbabbbaccccacabacacbbaaabbaaabaccabccabababaacbcaccabcabbbbbaabacabababccccbbcbaabcabacabbcacccccaaaaaaabacbcbbacbcabbccbbbcbccccccaccacbbabcbbaacababcbabbccaabacbacacacbbabbabbacacaabacbbabcacacbabcbbabcbcaaacbacccaabccbccccaaccacbabcbbbbccaacbaacbcbcbabbcbbcaccbccaabcaaabbcccbbbacbcabacaaabcccbbbcbccbbbaaaccaccacaaacccacaacaababcbaabbcbaacaaccccbcabbabaccaaabaaaaabcccbaaacbcbccaabbaaccbcaabcaaababbcbbcbaaacaccbcbbcbccaccbaaacabaccbbbabacbcaacbacacccaccccacccacaacccccabccccacbcbbabacabbbbabcaaccacccbacaaaccabcabbcabbbaabcabbabbaaccbcabbbccbacccbbbcacaaabaabcaaccbabcaccaaacbabaabbcbaabbcaccacbcabbcbccaccbacbcbccabbbcbcabbbcabacaacccccaacbccabbbabcabcbcbbcbacababbccaaacbabaabbbcbacbccccacacaacbacaacccbcbabbbaacabbbbcbabbccacaaaaabbcacababbcccabaabaacaccccacccabaaccbcccbcaaaaabacbcbbcacccabbaabbbcbccaccbcccbbbcbbaacccacaaccbacbbaacbabcbbbbabbccababbbbaababcbbccccccabbaabcababcbbbccccabcccaabcaacbbbaaaaabaabcbabaaccbabaccbbacacbccaabcabababacacabccbacbcabbcbbaabcabbbbabacaacaccacabcabbaacbcaccbcbbccbbacabbccbcbacbcccacaccaabbaacbcbabcaaaabcbbaaabcacccbbbbcbaaabacacacccaaacabacbaabbcabaabbbbbccacacababbcbbbaaabaabccbbabaababbabacccabcacccacbaabaccaccbccbababcbbabcbaabcabcabcacbbabacbbaacbbbabcaacbbabbaaaaababccabcabaccbbbbbaaaacacbaaccaccbabacbcaaaabcabacbabbcaabbacbcccbabbabcbbcacaaabcbcaaabbbccacccaabacabccaacbbbabcbbaacbcccccbbbcabccbaaaacbaababcbbbccbacaaccbcccccabcabcaabccbbabcaaacaccbbbcbcaccccaccccbccaccacccbcaccaaccbaacbccccbbbabbbacbabbbccbabbaaababcbaabaabccabcacabcaaaabcbabbaccbcbbcbaabbbcacacbbcaabbbabbbccbaaabccbbaccccaaabaaabcbccbcaaabcbcabcacacbbbaaabaacccaabaabbbcabbaacbbacccaababbcbaaabcbbbcccbbaccababccbbabbaccacabbcabcbcabaabaaabcccacbcbabbbacbccaabacbbaccbbcbbbbabcaacabacacabaaaabbbacccabbcacabccbaaacaaaacbbbccaaccabbbabbaccaccbabbabccbbbcabacaaaccaaabcaabcbcbcbaabacbacbcccaabbbccbbcaaaccbacababccbacccaccbababcbbcabbccaaacbbbbabcbaccbacbabaabbcbbbaacbacbcaabacacbbcbccabcccbcbaabcbbcbacbccbcbbbbaccaacaccaababbacaacbacabaaaaabbaacbbabaccbbaabbbcaaacccaaacbacaaccababbcabcbcacccbcbaaccacaccbaabbcbabcabbaabbbaabaabaabcaacbababcccccabcbcbbacbacbaccbabcbabbacacccacaabcacabcbbcbbaccabaacbcabcbaacaaaaaccbbcbcacccabaacccabbccaacccaccbcbbcaaacbcacbbaabaccaacbaaaabbccbcabacbcaccbbbbabbbccccbababbcabaaccccccaccccabcabcbcbabcccaacacccababccacbaaabcbabaacccaabcababcaaaabbbbbccbaaaaabaaacccaacbcccaaaaccbaacbbcccaccccaabcaaaaacacabacbabacbbcababccacccbaabbcbbbcbababcaacacbbbcbbabbcaabccaabacaccccccaacbbbcacbbbccabacccabacbcbabacccbacacaccbcabaaababaacbbacbabaaccaccbcbabcacccbbccaabbacbbabcaccacabcbcaabacaaaabacaccabcabcaaacaabcaccbbaabcbacacbabccabaacccbccbccbaababcabacaaacccbacabacbaacbbbabcbbccbbaacabbabaccbccababccbcbbbbcbcacccbbbaabaacaacbbaaacaabaabcbaabcbbaaaaabcbacbcbaabbbbbabcaabccbbbcaaaaabbbbbbbaccccbaccbcbcbccccaabbcbbcabaacaabbaacababccbbccbbcccbbbbacbcabaaacacaacaaabcbbbacaccaaaaaacccbccbaacbccccaababcaaabcacbabccbcccaaababccaacbbcccabbcbaabaccaaacacbacaaacaacaccbcacaccbcaccbcababccbbabccabcbcaccaacaccaabccbaccabacacabccbabcbbccaaabcaccbbbcaababaccbbbabacabbcbacaaacacbccabbccbbbaccaabbcabccacaaaaccaaaccacbaccacbaaaaababbbaacabaacaccbcaccbaaaaccbbcbbbbbcbabbaacbbbcaacababaacbbbcbacaaaabbaccaccccbbccbcabcaabaaabacacacbbcbcaaaccbcbccabccacabaacbccaaabbaaabaccaacacbaccaaaaabaaccabcacbbcaabbcbbcaccccaccccaabbcaabbccaccbbbcccbaaabcabcacbccabacababaabaacabccbacbabcbababcbcbcaaaacaababaaccbbabcaaabbabacbacbabacbbbccabbbbccabaaccacbcbaabbccabcabbbcabcaabaaacbcbcabcaaaaccacaccbcccaaabacacbabbbabcbbabcaccabccabbbcbcabcbaacacacacbaabbaccabbabbcbcbaabccccccababbaccbccccbabacaabcbaccacacaabaacbbbabacacabbccbaaccaaccacabbbaaacbbcbaabccaccacacaccccaccaccbaccbccaccaaaacbabcbbccacbbbbaccaabcaacacbabbcabcabcacbccbbbcaaabaaaacabaacbcbcbcbacbabcabaaccbabccbccbcbccbcacaacababbabbcbbbaabaaabacccbbabccabbcccbbbcaaacabbbcaabcbacbcabcbbbcacabacaacbcbccacacaccccbcabbabababcaababaabacbbccbaccccbaaabaccbcaccabcacacbbcccbcabaacbbcababbabcbaaaccaaaccccbbaacaccbbabbcccbcabbacabccacaabaccabaababbbbaabbcccabaaaaabccabcabbbabcbbccbbbbbbbbababccacbaabacbbaaaabbaabcccaacbbbacbbcbbbaabbacaaccaacbbacbccbbbcbcaaaacbcabcaacbabbccbccacaaaacbbcccbbbcbccababbcbbcaccacaaabbbbbcbacaacbbbacbbabababcabcabcbcbbbbabbbbababaaaaccacaaacbccacaccabcccbcbcbccbcbccaccbbbaaccacaccbbabbabacabccbccbbaacaccbcbabbbaabbbcacbabbaabbbcbbaaacaabaacccccbacabcbccccaacacbabbbcccccbcacbccaaaacacccabbababbbcbaccbacacbaaccbbaaacbaacabbbaacbcacabcaabaacacabcccbbabbbabbbbcabccbbbccbaacbcaabbcbbaabcacbcacaacccbbbaccaabbbacccbaaabccbaaaacaabaabbbccbcaccabbbbaccbcbaabacababcbcccccbacccbbbabbcabbcccbcabbcbaabcaccbaabcbbacbacbbbacbbbaccccbbbccabaaacacccabacbacbaababbcbaababaabbccbabcacacababbabcbaccacacaaacccabccccaccccaacbbabccbababacaacccbaaaaacabababcabbbacccaaabbcacbbcbbaacccbbacbabbabbaabaccbcbbbcbcbcbcbbbcbcbababbbcaabbbaccccbabccccacbcbaccccbcccbcbbbccaaccbbabcbccbcbabacbacccbcbbbaabcbbabcbcbacaababbcabcbccabccbbaacabccbbccabbcbccbcaababacabbbcaaccbccacaccabccbccbbacabbacbbccabcacacbbcacbabaccbbccaabbccabcbaaccccbabcbababcbccaacbbaaaacabacaccacacbbbcacbccbaacbbbbaabcbccaacbcacaabbcbabbbccabccbcbbaaabbacbcaccaccbabbbbacacaccbaccbccaccaaaabcacbacbacaaacbaaccbababcabaaacbbbbcabbbcbbabcccbcccbbcbbbbbaaaacccbbaabacaabbbbabcaaccbccbbbaabaabbaaaabbbbabaacabababccaacccbbacbbaababaaaacbbcbbbbbcaababbbabaabccabbcbcaacaabcbcccbbaaabbbbcbcaaacaabbbabccbccccbabacbabaabbaaaabbbcbbcabcacbacccabcaaccacbcbacacaabcccacbcacacccccbbbccbacbaaaabbcccbcabcabaabcabcbcabccbabccccccbbaababaacabcbbcacbaaabbababaccbbbaacbbbcccaacccbbbbcabcbcacbaabbbbcabbbababccbbabbcbcabbabaaccabccbbabaaacccacacbacccacaccccaabcbabbacacababcaaccccaaaacabaabaacbccbcbcccbccbcccaabcabcbcbacbacacaccaaccbaacbbcbaaacacaabbbaacccabbaccbbcccacabaaaaabbbbcaacccacccccabacbbccababcbbaaccaccccbcbbcbcbbaccbbbbaabcbcaaaaaccaabbabcabaaccaabbabaabbbbcccbbcbbcabccccaabacbbabbaabcababccabccaaabbccbcabacbcbaacbbbaccacaacbbcbcacccaaaccccbbbccacaabbbbcbaccacabccbcbabaabcbabbcabcbaaaacbcbaacccbcbaabaacaccccabcacaaabccccacbcbbcaacbcbbabaaccacbcacbbabccabaacbcbcbcccacbbbaacccbbbcbbccccbcbcbabcabcccbcbaaaaababbaaababaaabaababcaaababcbcccccccbbcbabcacbabacbccacabbbbabbabababaacccaababaacbcabcccbbaacbcbbacbcbcbccbacabbacbaacabccccbccccaabcabbcaabbbacbbcbaabcaabaaabcacaacbabccaaabbabccbaacabbbbccaacaabbcacbbababaaabcbcbcbabacbcbbbcabcbacacbcccccababbacabbbccccacaccaacbccccabcccabaccaccbcbbbbacbbbcabbabbcaabaabcaaabccaabbbbaaababcacaaabababcbccbbbcccbcbaabacbbbbbbabaacabcaacacbbcabccaababcccabacbbbbaaaccacbabbcccaccbcbaccabcbacbcacbacccbacaacbabaabaaaccacacaaacbbbacacabacbabbaabbccccacbbaaccccaccbcabbacbaacabcabcbabbcabcacbbabbabbabbacbccbccbabccaaabccbabbccbcaaacacabaccabbbbbcccacbaacbcbabaacacbbcbccbcbcbccbacaabacccbcabacaaaaacabcabbabaaabcacbaaaacbcacabcbccccbbbbccaabcbaacaacaccaaacabcbacabaabaabaabcbaabbcccbbabbabaccbcbaababbbabcbcccabbbbbcbbbcccabccbacabacbbaacacbcabbabccacbcaaaccabbbacbabaaabbccbbbaccbbcaaaaaccccccbaacbaaaaacbaacbacabaababbcaababccbcaccacabbaacacaabacaabbcbbacbbcabaccacacccbaababccababbacabcbcabcabcccabacbbccacbbaaaaaacabcbcbcbabaabcbababacbabbaacbacbacaccaaaabcaaacbbbbabccccccaaacaabccbbbbcabcbbbcccbcbaccbaaaababcbabcacbacabccabaaacacabccacbbcbcccacbbbbccaaacbacccbacbccbbcaacabbcbbababcbbcbabacabbcbaabbccbabcaabbccbbaabcaabcbbaaccaacabbbcaacbabbccbcccaacacacabaaabcabaacbabbbbcbbbbbcbcaabbbaaabcabbbccacbabbcbbaacabcaaccbbbbabcbaaacacbbbcacaabbbaaccbaacbaacaabcababcabcccaacbaababccbacbcaabaacacaacaacbbccaaabbcaccbcccbaabacccbccbbccacabababccbcaaccacaabacbbaaabccacbbccabccbcccaccaabbbbbacbabaaaabbbbcbbcbcccabbbbaccbbacbaaaabbbcabbcbccbabbbbccccabaaacbbccccbabccbaacababcababacabacbcbacabbccccabaabcbacababbaacbaacccaabbcaacbcbbcbcaccaccabbbcbacacaccaccbbaccbabaabbbaccccbaccbabcabccbbbbacaacbccbbbabccbcbcacabbbcbbaccbbcaacbabcbbcbabacaaacbabbacaaacbbbacbbabbccabcacbacbaacabcabababbbaaaababaabbaacabbcbabacabbabbcacbacbcccabaccabbaabbbababcacaacaaacabbcbcabbcccbcabbbaaabbabcccabbaababcbcabcacbbcbcbcbbbcababcccababccaaaababbaabbcbaabaabaabacaacacaaaaacaaccaccabccbacbabbacbccccbaabbaacbbaabaaaaacacccabaaaccaccbaaccacbcccbccacacacaacbaabcaabbbaabbbaacacccccbcabcbcccabaabbcbbbcbbcaacbbbaaabbbacacbcbcaabacccabaaccbcbacabaccbbabccccacaaccabbacbbbcbcccbbbabaacbcccccaacbaabaaaaacaacbbaaabaacccaccccacbbcbccabacbbcaabccbababbcbbbbccbbbbabbcbbbbacbcabbacbaaacabbbaaaabaabaaaacbcabbbaababcaaccbbaacbacbabcbbbaabaaacccabacbbcbabcbbacabaaacabbbcababacccaababacaccccabccccbcaccbcacaaccabacbcbbcbacaabacccccabccbbabccacabbbacbaaabcabbbbbaabaaacabacbbbaccababbbacbababcbcbacbaaabaccabbcabcabcaaaaaacababcacaaaaccbcabaaacbbaaaabababcccccacacaacccaaccacccaaacbbbbbcaaacbbcbbcbbaaacccbbacbbaccbbbbaacbccccbaacacccacbaaacbbabccbbccaacbcbacccbbaccabcacbbaaccbacbabcbabbbabcaacbbcbaccbbabbcbbaaacbcbbbccbcbaaaacbaccbaccacbabbbabccbabcbbabaabcbbcabacabcbccbbcaacacaabcacccbacbbbaaccacbaaacbabccacbccaccbaabbcbacccbbabbbabbabbaacbbccbbbcbbaccaacbbcbccacbbbbbcbbaabaabccaaacaacbcbcbcbcaaaabccbaacabaacacbcacaabcabaaccbaaabbbcaaccaabbabccbcbbcbabaacbbccabbcbccccaccccbbaacbaabcbcacbcbcbcabcbbabbbbacaaaabbcbcbbbbaacaacaacbacbcabbcbbccaabaabbaccbcaaabcbaaacbcababbccbbaacbabbbaababababbcaabcccabaabccbbacbccbcbbccacbacaaccaababaccbcacacbcaacbbcbccababcaccacaaabbaacccaacababaaabbccbcbbabbbcccbbbaccbcacbccacbcbbbbbabcbababbbcbcaccccbcabbbacccabaccaccbcbaacbbabaabbcbaacbcccacbbcacacbabaacababcabccaacaacaacbcaccbbcabaabacbccabbbbaabaababbbaabacabbabbcccbaacaabcccbcccbcbaabcabcacccccaaaababbbbcabaaacacccbaaacccaabaacaaccaacbbbcbbbbbbbcbbbbbacaaccbbcabaabbbcaaaaaabaccbbaaaaaaccbcbbcacaaccbcbcabbaccacbaacbacaaacaabcacaccbbcababcacaaacbacbacacabaacaacccccacbaabaccaaccabbbbbaaccbbcbcbbccbcbbaabbabbaabcababaaacbbbbcaaccabccbaaaabababbbcbbbbcbbbbcbaababbaaabbcbaabababacbaacacccaccbbcbbbcabccacbccabccaccccccabcaabcbaaaababaccaccbaaacbaccaacbaccababcaabacaabcbbbbcabaaacbbbbcbbacbbbbbabaacbabccbabcaacbbcbbbbbcbccbababcbccacabcbccbcacbcbbbccacacabcaccccabccacbcababaaccccaacccbcbabbbcbcabccabcaccaacccabbbababcabcacacabccababcbccaacbcabacccbbabcaaaccaacbaacbaaabbcabcbbababbacbbccccabcaaaacbcbccabcbabccbbcbacbcaaaaccabaaabcbacccaacbcacbabcabbbcaabaacaababcbacaacbbcaabacbacaaacbbcccccbacbbbacbbcabbacbbbacbccaabcbcbcccabcbccaabaacbbbcbbaaabccacbabaacabbaacbcccaabbccbbabababbcbcbbaabbcaaccabccbbcccabcccaaacbbcbcbccaabbccbbbccacababacccaabbcccabbccaabcccccaccbacbbaccbcaaacababaababbcaacacbcbbccbcbbbbccbcbcabbcbccbbcccccbaaacbaacbbccabbabcacaabcacbbbabbcacaabcccaaaacabcbbaaabbbbbcacacbcbbacbababbcabcccbbababcaabababaababcacbbbccaabcaaaccaacabcaabcaaabcbbcaabcbcacbbcabbabacccbabcaacbcaabcaacbbbaabccbcbbbcacccbbcbccbabbaaccabcbacaabbccbcaabaaacabcaaacacbbbcabccbabccbacaccaccacccccabcbbbbccbcccbababacaccabaccaaccacbcbacacbcbabaabccbbbcccaaabbcaaccaacaabccaabbacbacacacabacaabbaacacabbcaacabbaabbcacabcccacbacabcbabbbacacbcbaabaabbaaaccbaababbcbcbbcacbabbaaaccabbcabccbbcbbaabbacccbbabcccbacbbcbbbabacbaaacacbbbcbcacccccbcacabcaccaaacabbcbaaacccbcccaaacacbbbcaaaabacaabcbababbaabbbbcacaacbcacbbaccccccaaccaabbcaccbcccaabaabcbcaccbbccacbabbbaaacabcbaaabbbaaaabacabcaacababaabcabccacbaaacccbbbbccbbababcacbabbbaacaacaccbaaccaccaaabccaacbcbcbabaacbabaaaaaccabababaacaccaacabccaabcbccbacbcacccbbabccbaaaccabbcbbccabcabbcccabccacabcacaaccccbbbabaabccabcabbbacbccbacacbccbbbccbabbbabacbbccbacbbacbcbbaccccbabacabbaaccacbbbbcbbcbaabccaabccbcababccbbabcbcbacacaabbcbbabbcacacbbbabcabcaababccbcbbccbacaaabbabbccbcbacbbcbbacbbabbcbbcaacbcbaccbabcabbcabbcbaccbcabbbcbbccbccacccacabccaacabbccbacbaabcbaccaaacbcccccaccbbaccbbaabbbccaababbbcbaaaaacbcbbbbaaaccccaccabcabbbcbbaaabababbcaacbcbacaacbaaabaacacacbacaaacbbaacccabccaccbaabcccbcaccccacbbcaccbaabacbbaaabbaaccbaaacbcacccaaabbcbacabcccaacaaaaccaaccaaccaabaabacabbacabcacaabbaccccabbcbbcabbbbcbbacbacbbcbbbaaabacaacccaacaccacbaacaaabccacccbbbcccbabbcbcaabbaacabaacbbcbccbcbacbbabbbabacbbbbabbacaaabbbcaabccbabaabbacbcaabcbccbcbbbbbbacaccacaaaaabaabcccbaccbbaacccabcbbcabbcbbcccbbbccaacaacaacbbccacbbcaccbaccaabbccbbbabcabcacccaabbbbcabccaabbcacabaccacbbaabbccaacbaaabcbbaabaacbccacccbacbaaaacccacbbacaaccccaaaccababcacaabacbbcaabcabacabbaababbaccababbaccacbabaccabbbccbbababcbcacbabcaaaabacacacbcabaacaaacabccabaaabbbbbcabbccbabbacaabbccbcacacabcaaccbabcbcccacbbacbcbabccabaabacbbbaabaabcaacccbaaaaaaccaabcbcbcaabaaaaacbcccabcbcbbcbcaccccaaaccbccbbbbbbbcbcacaaccacbaccabbbbcacacbaabaacabbbccbaacabaccaacccaaccbabbcacbbccaaabaccbaacabacbbacaabaaacaaabcaaacbbacbaabcacbacaacbccaaccabcabbaabaccbaccabccccaccaccbcbcaabcbcbaccbaabccbcccaaacaacabcacbcbabccbbbaccbbabcbaabcbcccccacbbbabbababaabcbbccababaabcaabccbccaaacabbaccbbcbcccbcaccccacbbbcabbacacabcacaacabcabcbbbcaaababcbacccaaaaabbcbcbccbabcaacbbcacbcacbaacbabccbcbabbabcacccaaacabbbcaaabcbcccacacbaabbaacbabcaaacabbcccbcbabbcbcbcbcbbbcccbabaccacaccccacbabccbcacbcccabbacabbcbbaabacacabacabbccbabbabcbcbccbcababbaacbbcababbbaabaaccacabbcbccaccacaababccbbbaaccacbccbaabcccabbccabbaabcbaaabcccacccbbbbcbacbbaabcccccccaccbabccababacccbcccbbccccccbccbccabbcccbbabbbcbacbbcababbbbacbccbcbcbabbabbbcbbcaaabccabbacbccbcabcaccacbcaacbacabcbbabccccacbbbbccabcaabaababccbccabacaabccccbbbbbacaccaacbbccbbccabbbacbbaaabcbabcbaaaaaaabbaabaaabbcbcaacbacbcccacabbaccaaaccbbcccbacbcabacbbcbbacabcabbccaaaaacacaccccacbaccbbbabccbcabaccbcababcabccabcccbaacacccacacbacaaaacaaacacaabaacccabbcabacbbcbcabbabbcbcabbbacbcbbccbbcaccbbbbbcbacabbaaaabcacbbcaaabbccbaccababccbacccbcaaababccccbcccbabacbcaaccbcacbaacaacbaabbccbacacbcbabaabbcbbbaccbbbbbcaabcbbbbbbbabbccaaabcbccabbccaacaaaccbbcabcaacacbaccbaccacaccabbaaaaaabcbccbacacbaabaaabbcbcacaacaccbacabaaacbcccbcacabaabbbcccbaaaaccacbcbcbcaababbabbbbccaaaacbcbabaccacbbcbaaccabababacbcacacaccabccacbcbbbcacaabacbaaabcccbabbabcbbbaaacabcbbbbcacaacaaaaccccccbccaaacbcbbbaaababababbccbbabccbcbababbcccabbacbbccbaaacbbbcccbacabbacccacaaacbaccbcbabcbccaacaababbbbaabcaacbcaaaccbcbbbccacabcacccacaacbbcbbccccabcacabbcbbbcaaaabcbbbcbccacbbaacbcacacbabcaacaabbbabbaacacaaccaabacbbaacbbbabacbaccbccababcaabbacbbbcbacbabbaccccabaaccbcbbccaabbcaabcacbabbaccbcacbaaacbbbababbbacabbaaaabaaacaccaccbacccccbcccaabcbacabccbcabaaaaacbaccaaacaabcccbabbcbabcaacbbbbcaabaccaacbbacabcabbabcabbcbcbcaccaabacbcaaccbcacababbaaababcbcbabaaaaacabcaccbaacabaabcbbcbcacbbaabacbbaacabbacabbccacbcbcbaacbacbcccaaaabbabbcabaacabbaccbbbcbaccbabcaacbabcbbbbacabcaababcaaccbaccccbabcabbabbcaacbbcaabcabcccbbaaaaaacbabbabcccaabbacbcaaacccbbaacbcaccabbccccccacacaaacbabccababcabbbabacbcbbcbabaccaaacbcacbcbabcbaabaacaaaaaacbaabacaccccccbbcaababaaacaaccaacbcbcbccbaaabbaccbcaccccbabacbaaacbabcbbbbbaccaaaaabbacbbcabacbcbbccabcbcbabcbcbbccbccccacaaabcbccbbabcbabcacbbcccbaabccbaaaaaaaacbcbaaaacaccacbcbabacaabbbcbccbccbbaabbaccbcccbbabbabacccacbabbabaaacacbacbbbcbbacbaacbccababbbccabaaccababaccaacacbabacaccaaacbcccacbcabbbaaabaccaaacbaabbccacbbabcaacbbabcacacaaacccbbcbbbabccaccbaabccacacacbaaccbaaabccabaabbbabcaccbcaaacabbabacbbaabbcacabbbabaabbbbbacbbaaabacacccbaabbbcaabcbbcbabaabaababbbccabbabbaabbbccacaabcbbcbbcbccabcacbcacabbcacaccacbcbbaaabbcbaabcbcbaacaccaaababaaacccacabcabaabbcbababcabcacacbbaaaaaabcbbbaabcbbbabccbbbbbbaacabcbcabaacabbaacccccabaacbbbbaaccbbbbcbaaaaaaabacbcbaabbcbaabbcabbbaacbbbabbbababcbcacacabbabbccbcbbaaccaaaacabbacbabaacccbbcabbabacaababbccccbbbccabaabaababbaacbaaaaabaacbbbcabbcbababbbaccaaaabbaabcccababacacbbcabccbaaacccccabacaccacbbcaccbbbaabcccbcacccbcaccbabccaaaabbacbbcbbccabccbacbacccbcacccbcbbabbbbbabbaababcbcabcbcccabaaacbcbbbcbbcbcbcbbcbacbcbbbcbaccbcbabbcbaabccbaacbcbcbcbbcbcabcabcaccbbbcbbabaabccabbbacbccbbbbbccababcabbabcbbbbbbbaaccbbcbabbbbbcccaacbbcaabbccacccabbccbcbacbacabcacbbaaacaababaabcbcbcbbcbbbcbcaaaaaaaaaaaaaccabaacaaaaacbaacbaccccccbbbabccbccaababccaabbcaacaacaacbbbbcbaacbbaccbcbbacacccbacbbabacbbbcabbabcbbbaccaabacbbaaccacabcacbacbaacbbcbacbaabcaaccbabbccbbbcbbbcaabcbbabbabcaacbbaaccbacbbcabaacaccbacbbbcbcacbabbabacccbbbcccababbcbabbbaaaaccaacabcbccbcbaccbccbbcabccaabbccbaccccbccaccabbcbaabbccabccbbbbabbbccbabbabcaaabcbababbcccaabcccacbcbcbcaacbabcaacbccacaabbbabaacbcaaccbbacbbbacbaacccacacabaacabababbcacaabbaacbaabccbcaaabbaababbcaaacbccbacbccbbabaabccbbaaccbacacabbbbcbcccaaacabacacbbbaaaacccabbabacbacacaccacacbbbbacacbabbcbbabbcababcaccaaccbcbacacbcabacbbcabbcbcbbcabbababbacaaccccaabbaccabaacccabaababccbaabbccbbcccaaacacccbbaccacabcbbbcacbbcbcacabcaaaccabaabbcabccbaaaacabcabbacaaaaaaaabaabbcaabbcbbbcaccabbacbcabcbbababbcbaaaacccaccbcbbcbcbcbabccaccabbcabaacccbcccccbabaaccbccbcababaacaaccacaabbacaaccccbabacbbaabcababbabababbbbccccacbbcaaacbbcccacbbbcaaacaccaaabacaaabbbcacbccccbbbaaabbaccaabbcccbacabcbbababbaacbcabbaccbbabcabbbbccbacaaccabbacbabccabcaaacabbcbbaaaabcacbcbaabcaaabcabacaccabcbcaacabaacbccbbcbbcbcccbbcbbcbaababbccbabbbabbbcbacccbaaccbababcbaaaaacccbcaacbbabcabacabcacbbbbcaacbabbabbacbbaaaaaabbbaabbbbaabaaccbcbacccbbbbababccacccbbccabbbaccbaaacbcaaabcabcacaccbbccabcbbabcbbacaabacbcbabcbabaabaabbbacbbbacacaacccababccccaccbacacabbabaabcbacaabcbccabccabbacabbcccacccaacacaacbbcbbaabacacaabbcacabccbbacbaabaccbabbbacbcbcbbcabcbcacababaabcccbcabbbaabcccccbcbacbbaccabacbcabcbacbaaaabccbacbbcbbbcbcacaccacbcbcabbacababcbbbbcabcaacaabcbcbababaabbcacbcaccbacbbabbacbcbacbbbccbabacbcbabacccacbcbacabaccbbccbcabccaacabababbaaababacaaabacbaacccccabbbacabbbcacababccbacbbbabaccaaaccbcbbabaaacbaaccababbbccbaacccaabcacbcbccbccacbcbaabacaabcccabccbcabccaaccbaabbabaaabbcaabbbbacbcbbaacacccbaccabaabacaaccbabacabcbacbabcaacbbbbcbbcbabaacacabacccaaabccbacccbccacbbcbaacbbcccacccaacbbbbabacbbccccaaabaaaabbaaaaacbbccacbbcbbaabcbcbbcbacabbabbccaacccbaacbcaaabbaaabcaaaaaaacccaaccabbcbcabaaccabcabbaaaaacbbcbbbaccbacbcabbacabbaaabbbacbaacbbaabaacabbaabababcaacabcacaaacbccabaaccabbcbabacbcbacbbccbcacabacbacccbcbccccbaabaccabbaacbabacaaabcabbbcbbaabbaacacbbbbbaaccaaacbaaccabacabcaaacaabacbcbaabaaacbabccacbabbbbbcbccaaccababbaccccccbabcacaaccacabcccccbcaccabbacaacabbaaccaabaabaaaacabcbccababbaaccbabacbabcabbccabacabccaabbaacacbaacaacaacabaccbccaaccabbcacabaaabbbacbbaacbbbaabbbcaaccabacacbabbaabaaababbbaacaccbcabacbbbcaaccaccbbacbccaaacacbaabbabccaacccbbabcaaaabbbaaaabaaaaccaacacbaccabbabacbccbaccaaabaabaabacabbbbbbaacccabacacbbbabcaaacccbccbcabacbcabbcacbbccbbcbcbaaaaccaaabcbbbbbaaacaaccbaabbacaaabbbcbabcbccbccccbabacbabcbcabacccabbcbbbbbaccbcbbbaacbbaabcacbababaabbcbcbabbbaabcbacabacaaacabbcaaccaaaababcbccaababaaaaccbaaaaabbcabaacbbabacababaccaabbbcaaaababbbcbcabacccbbaaacbcccccaabaccbcbcbbccaccbbbabbbbccbcabacaabbbacccaccaaaccbcbbaacabaaccabccabacbabaacbbccbccccabaabccccbabaabbcbcbbcacbacacccaaaabbaaccbccacabcaabbbaccaabbacbabacabcaacacaccaacbabbbcabccacacbbccaccabbccccbabbccabaaabcccacbcaacbbacaabacaaacacbbbabcaccbcbabbbbbacaaaaacacabacbcabbbabaaaabaaccbcacbccaccaccacacbabcccbcbaaabcbacbcbccacaaaccacabbcbaacccabaccccbcaaccaaacabbaaacabbcbabcaccbaccbcaaabbbabbbaabcaacbbaabbaaaabbcbcaacabbcbabcbccacbcaaaabcbcaacaacabbcbbaaaaaabbbbbcbbcbbcabbbcbaaaabbabbbcaabbbaccbabcaaaacbccaaccbbabcbabbbbabbabcbacbaaccbacabaacccbccabababccaaaacaababccccccbccbacacaabcaccbaabaacbacabcaabaccbaacbbbacbabccbccbcaacabcccabbacbccccbaabbccbacbcaabaaaccbbbcbaacaccabcaabcbbcaabbcaabacbbcaccbbabcaaccbaccaababacbaccbbacabbbccbbcbcaacaababbbacabccaaaabaccababbaababbaabacaacacbabbbcaacbaaacbccaaaaacbaaccaccacbbaccbcaabbcbacbacaacccabcbbbaacbbbcbbbaaababcccbcbccacbccbcbbcaaacacbcbcccabcaccaaaaacabcbcacbaabbbbacaabcabaacabcbcbacacacacbcaacbacacbcccbacabbaabbcbaacaabcbaababacccaccbcacbbbaabacbbbccacbcbacbabcaacbacbbbcccbccabcacaccaaaaccbccbbbbcbacaccbbcbabbcacaabbbaacabacacacbbabbacaaaacbbaccbaaccbbcbccbbbabbbaabcbcbcaaabbbbaacacbabcacccbbccacabcbabbaaaabaacabcbbaabacabcccababbcacabbccbaaaacaaaaaacbbccccbacabbacacabaccbccccbcccaaaacabbcbbaacacaccbbbbcbabcbbbbbcabcbbcbccccaabbbbabacabbcbcbbaabccabcbcacbcacacbaabbacbcbbcabaabcccacbaccbcbbaccbcaaaaaaabbbcbaacaabaacaaabaaaccacabccabbcabaaabaccaacccababaaabaacccaabbcaaccbacaccbbbbacaabbcaacccacbabcbbbabcabacbaabbbccaccacbabacaaabccaaacbccabbacacbabaccacccbbcacccababaacaacbbacabbbabacaabbaabcccbcacbbbbacbcbacaabcccbababbabcaacbcbaabbacbaccccbbcaacbbcaacbcaaaaccacaccccccbaacaaacbbbbcbccbabbcabacbaababbabcbabbacccaacaaababbbccbbbccbabbaaacbacaccccaaacabbacbcbabccaabbbaabbbbcabbbbcbbccbbaaccbaacbacabbcbcaacbcaacbbcabababbcbaccaccabbaacbacbbbcabaccbcaababcbabacccccacbcacaccabbcbbaabacbcbaacacbbccaaacabccccacabbbbbcaaaabbcaccbaacccbbaaacccabbcbcbaabcccbaccccccbcacabbbbbcbccaccabcbaaabbacbaacbccbaccbabbccbbbcccbccbcaaabbbabcaabcaababaacababbbbaacbbcccccbabbbabcbcacbbcbcbbccbacbabccababbaaaacbcbaabaaabaaacbcaabacaabcacccababaaabcacbcaaccbabaaccbaaaaaaaccaacacbaacacaaaccacabcccccbabaaaccbcccbbabcbbbbcccbbaabbbaaaabccbbcacaaabccbbcccbaccaccaabacbaacbcbbabcccbbbabcababcabbbbabaabcaacabacbacaacbcccccacaaabaabaacbacbcbabaabcbaaacccaaaccaacccccaacaaabcbabbbaaacacbcaabcccbcabbabaababccababbccacbaccacaabbababacbccacabcacbabbaaacacccaacabacbbabcaaccbbbaccccbcbabcbbbaaacccbacbbbcaabbacabaccabcbaabaacbcbcbcbbbbbbabbbcaaccbcbabcacaabaccbacaaabcbabcabaaaccbbcbcbbabcacaabbcbcccbbcaccababaccaacccabaabcbccbacbaaacbacabaaaccaababaaaaaacabbabcbcabbbbacbcabcaabbbbacbcaabbcbbaaaaccccababccacabbccabccaaaccaabcbabcabbbaacabbaacbaccccababbaaaababcbcaacbacbbacbcbbcbacaabcbccaacbbcbabbcccbcbbccbccababcccabcbabbabaccabcacbbbcccabccbcbbcaccccacccbccbcacacabccacabccaacbbccaaccbcbbabbacbccaaabaccaabacacbcacbcaccaacbaaacbbababccbaabcbacbbcbbbcacbcbacccbabbbbbcbaccbaacbaacbbbaabcbaacacbccabaacbbbacabbaaacabcbacacccbacbacbcbbaccababababcaabaaaccbbaaababcaaaacbbcbbcbcbaabcabccbcbcaacabbbaabcacbcaaaabbcbbabbabccbbaacbccccaccccccabbaccaabcbabbacccbababcaaaccbcbbaaacaabccaabbabbccbbbbbcaababbacabacaabbccbcacacaaacabaaccaaabacbbcbaababbbbbcbcaccaccbacbcbbbbcbcbbcacbaccaccccabbaaccccaccbbbacababcbaacaacbbccabcaccbbcbbabaccabbbacbccaabaacaccbcbbcbacbaacbbacbacbcbaaaccabacaaccbcbcbcbcbcacacbbaabaacbbbbaacacbcbbabcabbccbaabbcbcbaaacbaacbcbccbaccabcaabcbbbbcbcaaaaccccbabbbacaabacbaacbbccbccababbaaabbababcccbacbbbbacbcacaacbccbabcaccbbccabcabaccaabbcbbababbaccacccccbcaaccbcabccbabaaacbbccbabccacbcbcbbccbbcccacacabcbcbcbccabcbacacaaaaccbaaabbaaccaabbbcbabcacbcbbcabaccabcacccaacbbcabcbbcaccbcbccacbbbbbacacacbbbaaccababaabbcbccccacccababbcaacbcbababacbccbcbbcbaccbcbaabbccabbaabaaccabcccbccbbccaccbbcaaaabccbcaabaaacbcaaccbbcbcaacabbcaaababcabbcacaaacbcccccbbabbaacacbacbabccbababccbbccbcbbcbacbcbabaaaaaccbcbcbcacaabccbbbbccaabcaccbacaccccacabaacbbcccbcacbbcacababbcabbacbcaacbbbcabbbcbcbaacbccccacbbccaacbbbcacbcccbacbbcbabaabbaabbababbcaacccbbcbbabbaabbbaacbabacccbccbccbbabcccbbbbaaccabbbcabaacaccbcbcbaaaacbcbbbacaaaaaaacbccbcaaaabbbccbcbbcbcbcabccccccaaacbaacbbcabcacacbbaabbcbccabbbbaaaaaaaacacbcaacacccbaccabbcaaabbbbabcaaaabbbccabbaccbacaacaacabcabcbabaccbbccbbaacabbcabccacbbaaacbccbbcaaabbacaaacbaaacacbababacaaabbaacacaaabbcbcacabbbaaaccccbcbcbacaacabaacbabbaccccbbcbbbccaaacacccbcbabacbcbbabaccccabbbcbbbbbcacacccacbaabbaabcabbbcacacaabbabcaacccbcacabbcbbabbababccaccbcbbbcacbbaccbcccccbacbbbaaacaccbbbcbacbbcbbabcbbcbbbbbcbaacaaaababccbbcbcbccbcbaaabacacabaabcaabbbcacbcbbbbbcaaaacbbccccbbaaabbbbaaccabbabcabccabacaabbcbaacaccbbbcacbbbacbcccccbbaccbaaaacbbcacbcacbbabccbbbbbbccccacaccccabbaccbcccaababcaacacccabcabccabbccaccaaaacbaababacacbcccaaaacccbcccaccbabbcbaccabcccbbbcbbabbcccabcbcbaaabcbacbcabbbbaabccaaaabcccbcbacccacccbbcbcbcbbcbacbcabbbcbcbbaaaaacabcaacabccbcbaccbaababbbbbabcbbbabcbababbcaaaccbababbccbaccbaabaccabbbbacbccaaaababcbcbaaccababacaabbbbccacccacbcacacaabacbcabaccbacbabacababaacbababcbaabccacbbcbcaabbaaababaaaabbaabbacbccbccccaabbbccababbbbbbbbabaabcaacbcbbbcacaccaaaccacbbbabcacaabacccbccaabaababbabcbcabcaabcccbacbcababcacbbacbabcbbcccbbbccbcbaaacccbbacbabcbbcabccbbccccacbbcabaaaabbaaaabcbbbbcabccacbbabbcbaaabcbbababcacccabbbabaaaccacabcaaaaabaccabbcababbcaaaabbcbbacabcacaccbcabacabaabbbccbcbccabbbbacbacbaccbabbacbcbbccbcaacaaaaaaccbccbcbcaacaaaabcaccccbcccacbabbabccabacbcbababbcbacccaaaabbbaabacbcbaababccbabacaacabaacacbacaaccbacaccacacbcbccbcaacababbbcbbcccaabccbaaccccbcababbccacbaacccaabcccbbcaccaccaacbcababaabaaabbabbcaaaaaabaccaabccabbbcbbccaabcbbcccbbbbbacaabcabaacaaacabaabcacaabacbacababbccabccbcaccbaaabbcbbcabcaacabccbbbabbbacacacbbabbacccccabbbacbaccbbbbaaacbbaabbbcbcbccbbbbcbacbaaccaaccbbaaacbbcabbbcbaacaabbcbbaacbaaacbbaccaabbbaccccacbcaababacabbccaaacccaccaabcabccbcccbcacaabcabbabbbbcbbaccaaaccbbbacbaaacaccbbcbabcbacbbbbaaabcabaabccccccacbcaaaacccccaabbacacbcaabcaccbbcbbabcbbbcccbccaacababbacabccccbcbcbbccabaabccaacbcabacacaccaaaccbcbbbabcccaaabacbcabccccbccaaabcbbaabbbcacbccbcbbbaacccbbbcacacaaabbcbcabbccbcacbabbacccacacbabccbaabcabbccbaaabbaabaacbbbcbccbbcccbcbbbccacacbaaabaaaaaccaacbbcbcbbcccacacccccabaacbbcbcbcacbbacbabccbcbacacbcaaaacaaaacbbbaaaacabacabbbcaaabcbababcbccaaaabcabbcaababaacacccaaccbcccccaabcbabaccaaaccbcaacccaabaccccacaabcbcacbccbbacccccacababbacbcabaaccacaabcccbaaacbbbaacbbbaabbbcabbaacbbbbbacbbaabacbabacabacbbcbccbabbbbcacbacaaaacbbbaababacaabcabcabbcabcbacabaaccccccaacbccabacabccbccbccacacaabbcacccbbacbcabcabbaaccbbbbaacbcabcccbaacacccbbcaabbbcaacaaaccbaccabcaaacacaaacabcaacbcbcccbbbcbcbcbbbccaaacbacbbacbcabbababcbbaabbbaccaaccbcaabccbaacaccbabbbccaacbacaaaacbccccccabbacccabccacccaccabccacacbaacbaabcccacbcbccaaccbabcbaaabcccabbaabbbcbbaaaaacabcbcbccbacacbcabcaccabbabaabbbbbcccbcccaabbabacbaacccacccbabaabbacbbaaabbbccbbbbabccbbabaaabacccacbcaccbbbcccaaacacbcabccacacccbacabccaabbcacbcaaaccaabbcacbbabbabcbabbcabcaacbcaabbcbcccbbcaacbbabcbabcbbcacbcbacaccbabbaabcbbbacacbccabaacababbacaabbbcccbcbacbaaababbacbccbccbbccbbcbccacbaabcaabbacacacaacababccabacccababaaccaabccaccccacaacacbcccaaabbcccbbaaabbaaccccbacaacbccbbaaaaabbcabacacbabccaaabacbcbaabcacccbccccccbbcabccbcaccaaccccacbabaaacbcbaabbaabbbbaacccbcaabbaacbcbabcabaabbbccccccacbbbcacaccbbabcbccbccbaccbbcabcbcbcbbcbcbbaacaabcacbabcbacbabaacacabaaccbbcbabcabbbbbaabcbccacccccbaaacacaaacacabccacbacabcaacaabbbabaaabcabcaabcaccaababcbabccacbbacacbacbbaabbbaaabcbbaacabbbbccaabaabcbbabaacabccabbabacbccabacccbacbbccaabbaabbbcababcabbbaccbabbbaacaaacccacbcaacacacaacbbcbcaccabacccababcccaabbcabaabbabcabccabcccbcacaacbbbabccaacabaabaaaaaacabccabaccbacbabcaccccccbbbacccabcbbbbbacbbcaaabbbacaaaaaaaacaaabbaaaccaababccbabbaaabbcbcaaacbabacbaaabbbbababbccbcaccbabcacbbbcacacaaaacbbabaacccabcabccbbabccacbbcacbbabcccaacababbbaacbaacabcccbccccccbaabcccccaacbcbbcabbcabccbbabcaabbbabcaabcacabbabcccbbccbbacaccccababcabccacccaacabccaabbaaabbcabacbbabbacbbccbccbcaccccabacbbbabbacabbccabaaabaccbcaabcbcacbbaccacaabacaabbaaabacbbaccacaaacbbcbacbbbbcaabcbaaacaaccbcbcccbccabbaabbbbbbccbaacbcacbbcabaacbcbcaccbcbccaaabbacacababcbcbbcccbacaaaabaabaaccababbaccaabaabaacabcacbcbabcacbcbaacccaaccbaacaabbcbaccbcccaacbbcccccabbabcabcbcabcacccaabbbacabcbacabbbcbcbcabbccababbcbaccbbcaabbabbbbcaabbbbcbacbabcbcbccacabaaaacacccacabcbccbaaacbaacaaacabcbbcbacbababaabbacbacbbbcaacabcabccbcbaabbbcccccacbababcccbbabcabbbcbacbabcbaaacbcccccaabacbbabaabcabaabccbccbbbaccbabcbbcbaabacaacacbbcbaabbabbccbbcabababaaabbaacbcaaacabccabacaacbbacacabcabbbabbaaaaaaabbcaaccbaacaabbabbbcacabbaabbabcbcbbbaaccbabcaccbaaacbbcaaabbbabcabcaabbaccbaaabbabcbcaabbbccbbcaacccbbbcbacacacbbcabacbaaaaaacbabbacacbbbabacbcababccbaaacbaabcabaaccccbbbcbcbacabcabcccbcaaccbcababbacabbaccaaaabaababcabbcaacbbbbacbcabcbabbcbbbaabacaaacabbbbbcbacbbcabccacaaaabcbcabababaccacabbaabababaacbbcacbacacbabbabcabbbacccbabacbbccbbaacccbaccabbbccbaccbacbcaaaabbabaaacaccabbabccacccbbacbacbabbcbccbbbaababbbbcacbcbaabbabbcbcacccacccabcbbccbbbababcaabacbcbbaababbaacabbbcaaabcbabbacbbabcbbabacaacacabcaaabccbabcbabcaccbaccbbabbcbbbcabbacaacccabbaaccabaabbabaacacbabbbcaacaacbbccccacbbacacaaaaacbbcbbbbaabcaccababbacbbbccaaccaccbcbbcbbabaaacbaaccbbabaacbcaaaaaababcacaccccabcacbcbbbbabbaccaacabccbccabbbaaababacccbabcbbacbcaaaababaccbbbbaaabbccacaacccabbccaacaabbaccbaabaaabcaaacbabcbababbcbbbcbbbbbcacbcaaaabccacaacaaaacccaabaaacbacbcbaccaccbaccbbccccacabaacccbccbbbcabcbbaccccbcaabacbcbabbcbaccbbcbaaaccbcacaabcbccaaaabcbccccbbabbaaaacbbaccbabcbbcbcacacbbbccbababcabccbbaccabbccccacabcaacacbbccaaababcbcaacabacabcbcccbaabbaaabaaaaaaabaacbbcbacccbccbccaaacbcbabcbaaaaccabaccaacccacababcbaababacabbbbabcbbcbaccaccbbabccbbcaccbcacaccabccaabaacbcccaaccbcbabccbcbbabaccccaacaccaccacbbbaccccacbbabaabbababcabacbbabcbccacbbaaaabcaaaccbaacabacbaabbccaabaabbacaabbaccbbbabaacabcbaccbacbcbcbcbabbacbbccaccaccbabbccaccccccbbbbaccbccbaabbabcabbbbaccbcccccbccbbcccaabbccabcabaaacbcaacbbaabaacbacbbaabbbaabcbacbccabbcacabcbaababbaaabbabbbabbcbaaacbccbaacacbbbbaccabaccacaacccaabbabcccbaccabaaccaabbaaabbbcabacabaabbabbbbcacbcccbbacabacbbbcccbaaaaabcbabbbbabcbbccaabaccabbcccbaccbccbbccbbabbaccbcabcbbabcabaacabbccaacbabbbaacbbcabccbcbabcaabbbbcbabcbbbacbabcbcacccbabbccbabbbcaaaaaabbccbcaccbcbbaaabaabacbacabaabcbbacbababcbabacbbbaacacabaacccabbcaaccabcabccbbbccabacabaaabcbbacabbbcbaccbbccacbcbaacbaacacbbbbacaabccaabbabaaaacacbaabbaabcccaacacccccabaaabbacbabbacbaabbbbaacabcccaaaacaccbbbaaaaaacccbbbccccaaabaabacbcbcbcabbcababccbbabcacabacbaacacaccbacaabbabcbacbaacbcaccabcccacbcbcccabbabcbabbbaacacaaaacbcaacccbbbbbcbbabbabaaaaccbbcbbbcbcabbcacaaaaacbacabcbbacabcaacbacbbabcaacbaaccbbcabcbccbbbcbaababcbccaccaaccbcabcbbcbbaaaacbabcabcbcbababbccccacacabaccabbaabbbbacccbccccccacbaababbcbbaacabaacabaabaccbcaacabcacbcabbcaacccaaccaabaaabbaacccaaacccbaacbccacbabcbbbbcabbaabcbaaacaaaccabbbacacbaaaaccabbacbbaacbbacbabbcaabcabbbabaccccaacccbcbbbaabbcacbbcccabaabcaaaaacccababccbbabbbcacabbbcbcabbababcbababbbcbbbacbbcabccabaabaabbbacabaabacbbabcbaccbccbccccacbacabbbbcaaacaccaabacccbbacaabaabbababbcbbaaabaabbaacbccbccacbcacccabbabbbcccbacaaaaaccccaccbbcbbcccabababbbbbabcacacacacabbabcacbbabaacabbccacccacccbcccaaaababacbbbaaaaccbcbccbbababbcbaccbcbbbabaaaccbbacacabaccaabcbbcabbbabcbaaaaaaaacbaaacbbbbcbbabbcaaaacacacabaacacacbaabbaabccabcabaaabbbcaabaccaaacacbcbabbccbabcabacbabacaccabcccaccbbaaccabaacbcbbbbbcccacbbabccababcabbacbcaaaccbaaabaacbcaacbbaaaaacbccaccaaaccbaabcbcbbcbbbccacbcaacbaaaccccbcaaccacaccaccbabcabbcaccccabcbcaaccacbaccbaacbbbbcababcbccaccaccbaaabbaabcccaacbccbbbbccabcbcbcaccbcbbabaaabaccbbcaaabbaaacacabacaccaccbacccacaabbacaabccbaaaccbacabbacbaabacabcabbcabbccaaaaaacbacacacabccabbcaabaabbbccbaccbcacaaabcaaaabaabcaacccbcbacbcacaabaaaacbabaccbabbbbcccabbbbcaacbcbbaabbcaacbaacacbaccabccbccbccbacbbbbccaccbaccbcbaaacbcbbaccccbbacabacccabaccacbcaccccbbbcbcbbacabacbcbabcbcbabacabcacbacbccaccabaaaabcccaccbacbcbbcbabbbaacacccbcabaacbbaacccbcabcacccccbabcabaabcccaccbbabbcaaaacabcaaaacbbcbcaabcbcbbbbcbaaaccaacbbbbabbbacabccacaccbabccaaaababacbababacbbbccbaaaacbaccacbbcbabbbbcabcbaabcaaccbbccbaccbababaabbbbcaaccabbacbcbbcaabcbcabcaabaabaaacaabbccacaacaabcbcacbbabbcbccaccbccabbabccaaaacbbaaccaccacbcbaacbbcbbbbacccbaacaaacbacaaabcccbabcbacabcaabbbccccacbccccbbabababbcbbcaccbaabccbcacbbabcaacbbbcaacaacbbcaccaaabbbbacbaaacbcabbbbaaaabcbabcabccccccccacbabbbaacbaabaacbcbbccbbaacacbaaabacaaaaacaaacacacacbaaaccbbbbaabcccbbcacbabcbbabbacaccbaabacaabcbabbaccbaabbccbaaccbcbccbacabcaacbabcbabbabaaccabacaabcbaabacbccbaaaabbcbcaaccaccabaccbcbbcbccaccacbcaacacbcabbbbabcaaaaacbbccbacabccccbbcaabbababaabcabbbbaaccaaabababbccbaabacbabcbbaababbcacbabaaaacccbccabcabccbcaabbbbbbaaccccccccabccbacaaaccbcccaccabbcabbcbbabbababbcaabccaccaaabbbbcabaacbbbabbbcabccbcaccbcaacabbcbccccbabcbbbcbbaaacbbaabababcccbaaabacbaabaacccbbbbbbabbabcaaabbabbbaacaacaccaaaaacbbbacbbccabbaaccccbbabaaacbcacbcacbabaacabbacccaaaaabbcccccaaaccbbbbaccbaaaacacccaccccacccabbabcacccbabaabccaccbcccbcbccaaacbaabcacbccbbbabacabbcaccaabcbcccacbbbcbcccbccccbbccabbccccaabbcaccccaccaabcacccabbacbcabbaccaaccacacbababbcabbbccbcbaacbbabcaccabcbcacbabcccababacaccaaaabbacabcbbaababbbaccccccbacccaabcabbbbbaabaccbcacbbaccbabaaccabbbbbbcacbbabccaababacacccabbbcbcabbbababcaabbbcacbbacabcabaabcaccbccbcacacccbccccaacbaacbacaaccccbaaabcccbaaaabaacccacbacbbaacbabbbccbacbbcaababccbcbaacaccacbccbbabcbbcbcbcbababcbcccbabbbabbcaaccacacccabacbccacaacbbcbaaccaaccababbaabbbbcccabcbaabcbaaccbbcbcaabcaabcaccbabbaabcbcabcaaabbaccabbbcbcbbbbcacbabcacacbbbcabbaaabcbaabcbabcbbbbbcbbabcabbbbcccbbbbcbacabbccaacbabacaccacccacbbababaaaaacabcbbccbcabcbbcacabcaabcaacccabcccabccaaaacabbaaaccaaacacbccbabbbbbbacabbcbcbcbbbacacbbbbcccbacabcccabaaaabaccbacacaccbaacbcabccccbbcaaccbbbcbbcaaabccabaaababcbaabaaccbaababbaaacbbbcbaaabbaabbbacccbccbcabcabbabaabbbbaabcccbcaabccccabbbcccccbaabccbbacbabccabaabbbababbbabbccabbccbcababbcaabcbaaaacbbbccbabbabcbbaaacacbcabbbbbaccbbbaabccababcbbbbbbacabaaaaaabcbaacaaababbcabbbbcacbbbbccbccbccabacbacacacaacabbaabccabbbbbacbccbcacbbaaabcbcaacabaaccbbaabbbbbcaccaacaccaacbbccabaccbcbcacbbaccccbaacabaaabbaaaabccaabcbabccbbcbabaabaacabbcbbbbbcaccaaacccbbbaabcacbaccbaaaacacbbabaccbcbacccacbcbacababacccbcbcbaababbbabacacbcacaacbccbacbacababcbcbcabccacaabccabbbcbbaacccbacccacabccaccacbacbbacaaccacccbaabacaccabaccabcabccaaaacbcbcbcbcbacbcbabcacacaaacccaccbcbcabccaabbbbacbbcccbaabaabcacaabbabcacabaaababaacccbcabccaaaabcacabaccacabbaacacaacaacbbacaaccbcbbccbcbcabccaacaabaacbacacbcbbcccacccccabbaabbcbbacaaaaababcccbbbbbaacbcbcbcbabbaccaccabbabbabccabbcbbccabccabcbbbabcabccbcbbabacabacbcabcbaaccbccbbbccaaaaabcabbacbababcbbcbbcbabaaacaccbabacaccaabbcabbbacbbcabacabacaccbccbacabcaaacbaaccbcbcabbcaabcbbaaacaabcabacaacacaacaaccbbcbaabbaabccaabbcabaaabbaacbbacaaccccbbbcccbbcbaccbaacccbbbacbbacaacbbcacccbabbbcccacbccacabacabcaccbccacbcbaccbaaccccbbaacaababaaaaaacbbccaaaacabaabaabcabcbcaabbcacbcbcaccaabccbbabccacabacacbcabaccbcbbcbbbcacccbccbcbacccccbaabaacbbacabbabccbaaaaaacbabcccabcabaababbbcaacccacacabcbbabccabbbabbccbbaabcaaabacbccacccabababbbcbbcabbaacaccbbccabacbaabcacccbbbbbaabacbbaacaabcabcbbabcbbbccccabaccbbabaccbcacacccbacaabbccaaccbbcbccaaacbaaccccccbacabaaabacbcccbbcabacabaabaabcccccccacabbacbaccccabcacaaabbacbcaccabbcaacaacacacbcaababcacccccbacaaaaabbcbaacaaacacaabccacbcccbcccbcbcccaaababcccaaccaababacbcaabaacbabcccabbbacacbbcaaacacccabacbcacbbabbacbacccccccbbcabcabaababaccbbabbbcacaabcaabbbbbbbacaccaabcbbccaccbcbababbccacaabaababcabcabaabbaccccbabcbbbaaabbcaccbbbaaccaaccaacaaaacbcabbbabbcbbccbbaccbaacaacbbbbbcbacacbabaacbbcbaccbaabaacbccbaabcbbcacacabbcacaaaabbbcbccccbacbbbbbbbbaccbabaccbaaaccababbcccaaacbbbcbbbccbbcbcaccbccaababcbbbacabbbacbbbccbabcaababcbbbcbcbbbcccbacccabccbaabcbaaccbacccabcabccaaccacaaacabbcaccbbcccbacacbbcbaabbcaccccbaccaccaccababbcbabbbcbacbbcbbccaabacbbbcaaacbccccabbbaaacbbbbabbbbaccacaaabcaabbabbbacbabcbbaaccbcaabbccaacccabbcbabacbcccbcbbccbbabcbabacbbbaccccbbccccabccbbabbaababcabccbbccaabacbabbacabcbcbcccbaccccabcbbbbbacacacaaaccababcbacabcacbbcbacbbabbccbabbaabaabcbcbbbababacaacccbcbabcbbccbcbbabccbbacabbacbcacccbbcabaaaaaaabbbacbacbbababbbababbcabbccabbaaabbbcaaaaababccbacbcbccaccaaacccaaaccccbbbbbccaaaccaaacccbccaaabaccbcabaabcaaacbabbaabaacbabbbbacbbcbbcaaaacaaacbbbbbbabacbbcbbcbcbbcbcababbbaaababcbcccbaabaccaccccbbcabbccacccaabbacabcbbccbbabcaacaccabbaccaaacbaabcbaaacccabbabbbabcabbcacbbabcbcacbbccbacbabaabcaacaccbaccabbbaaabcbbbcbccabaaaccacaabacbacbbbacccbaacbccccabcabbbccbccbaaaabbbccbbcbaabcacababbcbaabbbaaacaacacabbccabcbbccaacbcacbbcbbccaacbaacabbbbabbaababcbccbcbabbaaaaacbbaaabaabaabbabcbcaaacbbcaacaaaacaaaaabbcbbbabababcbcbcbbbcacabacbccabbbbbbbbcbcababccbcbabcbccbcbbcbacabacaaccaaaabbcaabaccbbcaaaabacaccbbcabbcbaaaaccbbbbbcccbaabbbcbbcccbcabbcbcaccbcacbccbcaaabaaabaaaacabcacbabbababcbaaaacbccaacabacbbaccbcacbcbcaabbcacabcbaaabbaacbaacbaccbcabccaaaccccccbbbcaabababcaabababcbacaacacbaccbaaabaaaacaabccaabcbbbccccbabbbbbabaccbccabbacbbbcbbaaaaababcbbaabbbbccbabcabacbaaccbacbcbcabaccabcbbccbbbbabacabbccbccbaccacccbacabbbbabcbababacaaaabbaacbcccbccbbaacbccccacaccbbcabbaaabaabaabacbacbcabcbbcacaabbcbbbabbbacccccacbbcabacccaaabccaccbcbbaaaaacabbbabbacbbbabaabcabbbbabaccabbccacbccabbcbcbabcabcaacabbaabbcbabacbbbabacabccbaaacbbaabcaaacbcbccbbbcaaacbcabbbabccccabcaacabbbbbbbcababcabacaccaaabcccbbabacaacccaacabbaccbcaacccccccabbbaaaacbccaaabcacaccbaabcbabcbcbacbabbaccabaacaabaaacacabcbcbcbcaccbaaaabaaaacbbcaaababaccbabaabcccbcbabbcbcabcbabacbcbaccbbaccabbababbbcbaabcacbcbbbacbccccabacccaccbaccbccaabcaabbcaacaaccbbbaabccabacacbbbbcbabbcabacbcaccaaaababcccaccaaccbaabaabbcccacbbabbabcbabbccabbbcbbbbccbacaacaccabacbbabcacbbbccabbbccbbabaccbbccccabcbcacacabcaccacbcbacbcbcbcabbaaaaacbbcacbbaccacbbbbcaacbcabaabbabbaaccabcacbcacabbbabbcbcabacbbcbcaabcbacbcabcbabacaaaacbcacaaaaabbcabaabaaacabbbcabbcacacbaccbacbbccbbacbcbbbacacbabcbaabaccbccbaaccaacabaaabcaabbbacaacccbcccbabbbbcabcccbcabcbcacbcbccaabcbaabbabccacccacbabbbcaabaaaaabcabccccbabbabcccaaacccbbbbccabaacccbcbcacbabacaababbbbbcbabbaabacccacbcbaabbcbacaacbccacabababbacaaacabccbbcccbbbabccacacbbcbaacbcacbbaccbcacbcbcaccbbccbabcbccacaaabbbbcbbaacabaabcacacbcabccbccbabbcbbacacaccbbaabcaabbcabaacacbababbccbcacbaccaccabcbabbaccbcabbaacabbcabaabcaabbccbbcaabbbccbccccbbbabcbbabaabccbcbaaaaacababaacbaacbbabbaababaccabacbabcbacbabbabcabbbbccbccaccaaacacabaabaacbaabcbaabccbcacaababbcbacbaabcaaaaabcacccbbcaaabacbcacbcbacbbaabcccaaccaaaacbcbcbccababaacbccaacacccbacccacbcabbbbaccaccbabbccaaaabbcccbcaaccaaaacabcaaaabcaabcaaabcccbaababcabaaacbcccbcaacbacacccaacaccabaabbbabbbacbbbacbaccabbbbbbbabcbcababaabbcaabcccaaccbccbaaabcbaacaacaacaabcbcbbaaaacacabbaacacaaababaccbcccccaabbbbcaacacacacacacbaacbaacabbabacccbbcbcabbcbcabbcbbbabaabcbbaabcacbaabbbbaaccccacaabacccaabababaabacaaaacacbaccccbaccaaacaaabbcabbabaaababccabcbcbcbaabbccbabbabbabbcaaaaaacacbbabbbcabababcabbaabbbaabcacbaaabbbacbcbccaacbaaabbcccaaacaaaabbacbbabcacaaacabcccaaabbbbcaaabbcaababcabaabaaacbabbcbbcbbcaabbccbbbccbbcabcbacaabccaacbcccabbccbbcaabaaabaaccaaaabbabaabbbbbcccbcabcbcbbaacbbcbbbbcabbbcacabaaccabcabcaabccacbaaacacbbacccaccaaabbbaaacabccbccaacaccaacbbbcabbaaccbabcbbbbbacababcbccccababcbcacababcacbabbacbcabbaacccbcbcccabccabcabcabaabccabaabcbabbbaabacaaccbcababaacbccccbbccbacaabcbcabcbabbabcbbacbabcbbcabbcabbbaaaacacabcbcbbabbcbacaaccbaccbcbcabbaaabcaaaababbbbaabaccbbccaccccabbcabbabcaacaabcaabaaaccbbcaaaaababacacbcbababaacabcabaccccbccaccacbccabbbcbcbccaaaaaccccabababbabbbabbacbbacbbabbbcbaabacaacacabacccacacbbabaababcccacbccaabbbabbababccabcaabacababaabccaabbbccabcbbbbaaccaaaccacabcbcaacbbbcaacacbacbbbabcccccbcacbbccacaccbcacbbccaaacccbababcbccbcaabbcccccaacbbbacacacaaccaaaacaccabbaccbcacacaabccababcacbcaaaaabccbcbcacbccaaaabcacabaaababbcaacacaacabbcaccccabcbabaaacccbaaaaccbcbbabacacaaabcbbabaacbbbbababccccbaaaaaacccabbcccccabbcabacabbabacbccbbcaaacbbaabcccabbcacbcccccabbabccaacabccaacacbbbbaacbcaaacabcaabbbaaccbaacbabcacaccacccaacacbbcacbaacabcbaccacccaaaaacaaacaabcaacabbbaacbccccabbaaaaaabbccbcbbbbcbcbcabcacccbacbccbbbbbbcbbbbbaabccbabacaabbbabcaabcacbcccbbbaacabbacaacbccacbcaccaacacaaababcbbabccbcaaaaccbcbbbbcccbcbbccbbababbbccbacbcaacbccababacbccccccaccaabbaccabbbcacbacbacccbcacbaccbabacbcacbbcacaaccacacaaccbcabbcbbabbacbccbcaaccbacbaabaacccacbacabcbbaaaaaccacbbacbaaaaabcaccbbabbcbbbabcbcabbaabcccaccbbabacacabbbaccbbacabcabbcbcaccaabcbcaaabaabcaababcccbbcbbbccbaacccbcaaacabbcacacaaabaacbaaabbbcacabbcbabbbcaaaabbbabcbaacbcbabbabcacbbcbcccabacaacabbcbcabcbccacacabbcbcbccbcacacbabbbccbcabbccababacccabbbcbbcbaaababcbabaacaabbcbabbbabbbbbbbcbcaaacbbabcaacacabcaababacbbaabaabccbbbbaacacbbaaabababababbaaabcbbccbabacacabcbacacccbaabaaaababbcabcacabaaacbaacaabbbacabbabcbcbcaccbbaccabaaccbcbacacaaabccccaaaaccbcacbacbbbbaabcbbcbbacbacaacabaaabbbcbbbacaabacbbbccbaccbcbacccaabaccacacbacccbcbaccbaabaccaabbacbbccacccbbcbbbaabacbacaabaaaccbcbcbcaabccbbcaabbccababccaacbaaaabacacccbaccbbbbcbbbcbaccbbaccabccaacabbccaaababbcbacacbcaaccbbbbabbbbaaacacaaccaaccccbcbacbbcacaaacbcbbbbcaabccbaccbcccaccabaabaacbbbcbbabaababcccaabcbcabcbcbbcbcbcccaaacbbcbbccacbacbaabcabcbbcbabcaacacacbbcabacbaacbbabababcbaccaabcaabaabcbcbcbaaaccaaaccacbbabbabaacbcbbcbcabaacaaacabbbbacacccccbcbbaabbcaaabbbcbabacacababaccaccccbacaacbbaaccabbbcaabbcbabbcbacbbbabcccaabcaaacbabccaaababacaabcbbbcccacaacabbaabaccacaacabcacacbcaccbbcbcbbccaaacbaabcaabcabacabaabababacbbabacabccabcbccbcabbaaaaabbcacbcbbcabaccbcbbabccbacaccbaabbabcbbcbbbbabbcbacbcaabcccbcabaaaabcaababccabbacbaccbbbbbacbacbacccaccccbccbaababbbcbbbacbbcbabcbcbcaabbbbbcbcacbbabcabbbabacaacacccabbbccaabbacacccaabcbcbabcacbccabbaaacbbcbababbcaaccabacbbcccccbccacacbaababcacbccbabcacbbccaabccabbbacbabcbaaccbabcaaccccabbaaaaaaabbccabbabbcacabcacbacccaccccccbcbccacbbabcbbbbbabbbcaabbabcccbbcacabbbbaabbbccbaccaacbccbccbccacccaaaacccaabbacbcccaacacccccbcbbaaabcbcababacabbaccccacacaacccbcacaabaabaccabbaacbcacbcaacacccbcbabcacabbbabbbbcabacaabaaacbabccbccbcbaabacccbcacbbaacbcccabbccaabbbaabacacbaaccbccbcaccbbacbccbacbcababacccabbacaaaccaaaacccccccbbbcabbcabbabacacaacbabbacaabbcbabbbaaabbcbabbcaccbbabccabbaaabccbcbbccaabcabacbaacabccbabbbcaabccaaccaaccaaababbbcacccaaaacbbaacacbaacbbccbbabbcababababccaaacaabcacbaccaccacabaaabcbcacbcaacccccabcbbccaaaaaabcabbcbabaccaabcacabbbbbaabaccbccacaccbbabbcbcacabacbccababcaacaabccaaacccbbccababccbaacabbaacabccabbbabbbbabaaacaacacaaacccaaaaabbaacbbbabaaccbaabbcbaaacabcccaccacaaacaabababacabbaccabcabacbbccbcbcbacababbbcbccaacbccababcbacbcbcacbcbccbbaacbacbbccacacabbbacccbcabcacbccacbaabacbbbcbcaacbabccbbccaccbacaaacacaaabcaccbccbcbbaabcaaabbbccabcbaacaccaccbcbbbbcabcbcbbbccaabcbabcabbabaacaacacacccbcabaacbabccbacbbcccaabbbbbccacbaccbacbcaaacabbbbacbaaaabaaacbcaacbbcbabcbcabbbcabbbaaaaacababbccbaacaaacacbcbabaaabcbbaabaccbbcabcbcaabbcaacaccbcacabaacaabababaabbcbcbacbccbaabaabcbbccabbbbcacbbbcabacbcabaaaacbbbaabbbbcaabbbbcacaaaabcabcabbaabaaaccabbaaaccccbbbbcbcbbaaabcaabbcbbbcaccaaccccccbbbcaaaccbacbacbccbbcccbbaabcacaaacbaaaacbccbabcccbcacbaabbaaabbbabcbbbcabcccbbbcbacbcbbbccbcbccacbabbcccaccabbbcaccbaabaaaabbacbbcbcbaabbaaccaccaacccbcbcaacbabcbabaaaacbaacaabbaaaccbccabbbccbabaaabbaccbcaaabbbcccaacccacaccabbcabacbccaccbbbabbacbcaaacbccababbabaaccccbabbccbaacabcbacabbcabbcababcbccabbccbabccacacaacabbbaabcacbbacbaccbcaaababccccbbaacaabbabbccbbacbbbbbacacbcbcaacbcabccabccbaccccacaabcccbaabbccabacaccbbccbaabacabcbbcaabaabbabaccbbcaacaccccbabbbabccaaacaaabccaabaccbacbaccabbbabcabacaabbbcacbabcbbcabcccbacbbcacccbcaaccacbbcaaccbbcaccbcbabcacbaabbbcaccacabaabbccabcbccacabcaaabcabbbbbbcccbbbcbbccbbacacbacbbbabbaaacbbccacaacbbcbacabcbaabcacabbcaabbabcacbcacbbccccaaabacaabcabbaaaaacabbbbbabacbbbacabbcacaacaaaabcabbbbcbbaabcbaabaccccccabbabbbbabccaaccabbabaacbcbbabbccabbabacaacaccaaacaabbccbacabcbcbaabaccbbaccbaaacccabbaacaaabbbccbcbacacccbabbaaaacbbbacbabbcbccacabbcbcacbbbaaabccbaabccacbcaabcaabcbacbabbcacabbbcbabaaacbbccabccbaacbacacbbbacccabccabbcbbcccbcbbbcaaccbacbcacabaabbcaccaaabccbabbcababcbacaccbacaabacbccbacbabaacbaaccbcbbcaacabcbcccbcbaacbbbacbacaabaabccacbcccaaccabcbcabacacccaacacccacbacbbaaabaabacbbbacababcaacbbaaaccabacbcbbbaacbaabbaabcaacbcabbbacababaacbabacbaacbcbcccbccbcbbcbaaaabaccbbbcbbbabcacbcaacaaabbaaccccacaaccccaccaccccacbbcaaabbcaabbaccacabbabcbaabcbbcccaabacccbabcaaababbbcbbbcbabcbabbaccbbbacaccacaccbacbbbabaabaabbacaabcccabccabacbbcbaaacaaabcabbbcaacacaccacabcbcacaaacabbbbbaaaabaaabcbaaabaaaaaccabacaccababacbaabbabcacbbcbcbaabbcccccbabbacabacbbababbcccaabccbbbaabacacacbccbbacbbccbcbbaccabbbaacaabbbaabbbcbacaccbbaccaccccbcaabbcbccbbaabaaaaccaabcbccbbbbbcaacbaacbcbccbccaacabbccbbaaabacaacccaabccbcbbcbccaababbbbacbbcbcbcbcbbababbcbabcabaacabbbccbabccacbacbcbcabcccacbbabaacaaacaabbaccbcbbcacbaacbabbccbbbbcabbcabbbcabbcbabcaaaacaaacacbbabccbbbbbbccabcaccbbbaacbbbbbbcaaacbbbbccccccbbbbcbaaaababacaacbbacbacccacaaabbbbccacabaccbbbbbbcbbcaccbbacbccababbaccabcbcabbbacbbbabbbcaabbbbccbcacaacaccbaaacbccbcbccabaababbcbcbbaacababbbcccccabacacccccaaaacabbacbacabcbaabcbaacbcabbbabcabacaaacacbaccbaaaabacaccbacaaacccbaacbacbbaabcbccccbcbbabbccbbacaccabacbcaacbbcaccababaabbbcabaabbacaccbcabcacbbbcbcccabcbcbabaabababccbabccabbbccbbbbcbccbacacccbaacbbbabaccbcccaccaabcbccaababaaaabbccbcccacbbabaabcaacacccbaabaaaaacbcbcacbaaabaabacbaabcacbbcacabbcbaccbaccbaabccaccbacabaccacccbaacaccbbbccccbccbacccbacbbaabaaabaababcaaaacacacaccbcabbbabacbaccbcbbbccbbcbaaacbcacacbcaccbaaacaacbabacbbababbccacaaccbcaaabacbbccaaaaacaaaacaabbcacabaaccaaccbcbbcbbcbccabbaaaabccabbbbbcaacbaaccbabababccbaabcacbbcbbcacaaaaccacaaacabcbbacaccacccacbabaacbbcccacabbbacbcabccaaaaaaacbcabbbbbbbbaaabcbabccacccbabacccacabaabcbbcacabcaacbaacccaccabacbcbbcbaccbacbaaabaccccbbabbccacacaaacbbcbbcabccbcbcccaaaaabacbbccbbacabbccbaaccacbcbacaaabbaabcbbccabbbaaaccccacbabbbabacaaabcccccaacaacaaabbcabcbacbcbcaabcbabbcacacbacabcbcbccbabcbbcabacccbbacbccbcabaaacccaacbaabababcbaabbabbbacccbaccaaaacabacbbbcbabbcabcbccaacbbcacaabbaabbbcbcbcacbccaaccbaabbbccbacbbcacccbaabacabcbaabcbabaacacabbacacaaaaaacbcbaaccccacbacaccbacaabacaacacccbacbabbcaaacbbaccbacabcbbbcacbcabacbbbbccccacabbaacaaacaabcbbaabccbaabccbbacbbcaacbaabccaccaaabcabacbcacabacacbbccccaccbbcbacbccacababbcbcbbccabbcabaccbababcabbacbbcacbaabaabaabcaaccacbcbcacaaabacabcabaaaabaccbabbcbbbbabbbbabaababcaacacaccccaaacbbaccbcababacbabaccaccaaaaaaabbaababcaacabcbaacabbcacbaaabcbacaccbbccccaaabcbcccccccacbbacabbbbcbacabbcaccccacccccbbccbabbccbcbbccabaacbaaacaacabcbccbbccacccccbacacccaccbccccabcbabcaabcabcccbcccababccccbbbbccbcacbcbcbacccbbccbacbcbbabcbaabacaaabbbcaabbabbcaabbbccbbbbacabcaabccabbbaacbcaccacccaaccbbbaccbaccaaaaccbabccccbccbcccccabacbcacbcaccccacccaccbacbbabccbacbbbaccbbcbbcaaccbbabcacbbbabbaabccbbaaaaaacabccbcccbbbcbbabccbacccbbabbcbaaccaacccbacbcaacacaaacbcbbbcbaacbbaaaacabbbbcacbbcabbabbcbcacabccccbaacccccbaacabcbbbbacbcabbbabbccbccccbacbacccccabcaaaccabcabbbbaacccbccabaaccbbacbcbbacccabaabbbbcaaaaaccbbccaaaabcbccbbbacacaacaaaabbbcccaaccacaacaacbbbbabbcababbbcbbaaaaaccabcbbcccbcbaacbccabcbcabaccbcbcaacccacaacabcaacaabbabbaaabbbabbabbabbbacbacbbccbbbaaacacbcaabcbccacbaccbcabccacbbaccabcbcababababccabcaccbcccaccccbaacacbaaacbbaacbcbacccbbcacbbccbacbbbaacccacccacbbaaaccacabbabcbacbbbbbbcabcbcbbcbaacabbbaacabaaaaacabcbcbccaaaccabaccaaccbbbcaaaacababaabbbbabacbaccaaabcaccbcbbaaabbbcccbaabaacccacbbcaacacabcccbaabbcaacabcabcacccabaccabccacacbabaacbbcbcabcacbcbabbbbcbbacacaacbbabcbbacabaacabcbacbacbaaccccbaabbcbbbabaababcaccbabccbbabcabbbbabacaabbbcbaccbcccbbbbbabbcaabccabcbbcccbbbacbbbbbbbcbcaaaaabcaacbcccabacbcacbabcaabccaacbbcababbbcbaabbbbaaacacbccbaacbbcacacaacccabcaacbbabbbaacababbcabbaacaabcaaaccbcbbcbccccccccabbaabaaabacbacbcbbbccacbabcaacccbcbaabcbccbabaabbacaccccabbcaababaacabaacbcabaaacbcccbabccbababbcaaabbaccccaaccbabcbbbabbbaacaacbbcbbacacccacbabccbccbacaabbccacbbcbbbbbacacbbacccbaabbcbcbcaaaccbabccabccccbcacacabcbbabcabbcacccbacccaacabbaacacbabcabacbcacacbcbbcbccaacacbacabbcacabccaaabcbacaccccbcbccbabbbbbababaccbaacaaccabbaabcbabbabaccaccaaccbabcccbccaabacacbcbbbaccbbabacacccacbcbacacaaabacbabcacbbacbcaaccaaacccbbccaacabcaabcbbaccacbabbabacbababacaabbaccbccacccabaacbbbbccbaabcabbaacbababacbaabccbcbacbbabcccbbbbaccbcaccbababbccbbbbbbccaacccacababccccccaaaaaabcaaaabcaccabccaccbaaccaccacaaaacccbaaccbaaaacccaabacaccaabcbcbaabaaacaaacacbbccbaacccbaacbccacacccbaccccbbccbaaaaabbacabaccbaacaaabaabcbababccbbaacaccabbcbbabcbccccbbbbbcaaabaacccbcbcccbbabacbabbabbcbabaccbbbcacbabbccbaaaaccaaabcbaaaabbcbccaccabccbccabacccacccbbcaabaacacccbacaabccccbbbabaccbaaaabcbaaabccaabbaaaacbcaaaaabcccacbcbcbaacccacaaaacabacabaabccbbababcbabaccbccbabbcbbcaaaacacbbbaccbbabbcacccccacaccaaacbbcccbcbacabcaabcbacbcaccccaccbaccbcccbaabbbacacbcaaabcbabacaaaccbbcccaccbcbacaacccbabcbcaccacccaaabaaabacabaaacabcccaaaaacbccaabbaabbbacbacbbcbaabababbcbabaacbaccaaabcbacbbabaabcabaababacbcbbaabacaaacbbbbbcbcccbbcbcbabcabbbcbaacbacccaaccaaaccaacacabcbbbcbcacbacbcccabcccccababaccbacbbbabbbaccaabbbbaaccbabbbcbbaccbbacabaaacbcbacccbacaabaaacbbaaacaaaaaaabbcaabbcbbbcbcbaaacccbacbbcaaccabbbbcaaababacabacbacbcacbbbbbcbccbbcbcccbaacabbcacaaaaaabccacaacbbaabaccabaccacbaababbbbcbccbcacbbaaabacbacbcccccabbaababcabaaacbccccbbacbbbbacbababbaccbabcccaacaabbbbaaacccbcaaaaacbabbccaacaacabbccccaaaabcaccabcbaacbcbcabccbbbccabacaaabbacababababccccbcabcaabccaaacccbcabbaccbbaccaacbbcbcbaaaabcaacacabacaabcccbbbcccbcbbaabacbbaccbbccbaacaabcaacbacccaaaaaacaaccbbcccbbbcacabcbabcccbbcbbabbacccbbccbcbccacbaccacacaccaabacccbaacbabbbaccbaaaccaacbcbcbaaccacababbaccbcaccbcbbabbbbcbbacbbabcabbacaaacabababcabcaacabcbcccbaacaabbcabaacabbaacbcabbaabbbcaacbbacbccbabcbbbcaacababababbaacccabcbabaacbbaacbbaaabcaccccbabcacbacacbababaaababcbaaccababbbabbaabacccabbbabbbabacccaabbabccaaabababbcbccbabaaacccbbaccbaacacaaccbcbabacbbbaabaaaabacccbabbbccbabacccabaacbcbcbcccaacbabbabacaaabbbcabccbcabccabcbbabababbcbabbacaacbcacaccbbabcbabbaabcbcbaccbaaacbbcacbcbcabcababccaaaaabbbaaabcbbbbbbccbaccbbbcccbbababaaacaaccaaabbaababcacbbaaccbaaaabbcbcaccccabbabaaaabcacbaacaabbaabcbaccccccbbaccbbcbcccabbccaaabccbacaaabbcbbccbbcccccaacacbabaaccbabcbaccabaabbabcaccaaaccabccbbaaabbccbccabbbccabcccabbcbabbccabbaaccaccbacbcccbaacbcbcbcbbaabcaaacacccbcbaacacaabbabbabaabccbbbbbaaacbaccbaaababacccbbbbcbabbcbaccabaabcbaaacccbcbbaacaaaaaaacabbacabcbaacabbbbccabbcbaccbabcaaacbcccaaabcccccbbbbabaaaababbcccbababaaccbcaabbcabbbccbbabccbabcbcaabcabbbcacabcbaacccaaaacacaaacaabbaaabbbcabbbababbbacbacacabbabcaacbcaabcbabbbcbcbacbababcbcacaaabacaacbcbabaabbcabaacaccabbbabacabcbaacaabcabcabccaabcbabbcbacacbbcbcacbababbacbaacaacbaabaaacbbacacbaacbaababcabccaccbcaababaaacbbcbbbcabccbbcbcaabbababcacbcaabccbcabcbcbbbbbaaabcbccaaababcaacaabcacabccabcbccccccaabaacacccababacbcccbcbabccaaaacbbcbbacabaaacbaaaccacacbbcbaabbaabcbbbcccaaabcccaccabaabbcacbbbaabbabaabaacacccbaaaccccaacccbcabaaabaccccaacaabcacccbaaaaaccacbbbbbcaaccccbababbbaacbbccbcaacaaaacccccabaaaaacaaacabaaacacccccbacccaaacbbabaabbaccbcabcccbacccabaacaabcbabbbbccabacaccccacbbcbaccbcbcaacaaabaabcbccbbbcabbabcbbabccabaccaaaabaaabaccbbcaabcaaaacbaaaccbbbbcbbbbaacacaabaabbbbbcbbbbcacccaabccbacabcaaccbabbaacabbbbbbbabcbcbbcbbccaabcacbccacbbcacacbacbbbbabcabcabbcaaaaaaaacbbbaaaabcbcccabaacccabccaabaaaabaaacaabaaacbbbbbbcaccaaccbcaababacbccbaccaabacaaaabbcbabcacccabaacaccbcacbbbbabccaaccaaacbaabbbbbacabcbaabaaccbcacabaabccabbacbbaaacabcccccacabcbcacaacbcaabacbbabacbbcbaccaccbaaaacabbcccacabcabcbcccccabacbbcaaabbbcbbabbbacbabccbcaaabaaababbccbbbaaaaaaacabcbbcbcccacabaacbbacbbacbbcbbacaccbcbcbbccbbaabcbbaacacbacabbccbccccabbacbbbcabacbbbaccbbcbcbaacabcacaaabacaccaabccbbbacacbcccaccccaabccbabaacbccccaacaaccaaabaacaccbcaccacaaaaabacbbbbabbcbcbcaabaababcabcccbccbaaabacaabccccbaaabbaabaaaacbbacbcaccccbbabcbabaabbcabccccbacacacbbbcccbaacaacacacbccbbbbacbbcccbcacacacaabaccbaabbcbcbaaabaabbacbcacabacaabbbbacaccbbbabaaababababbbbabccccccaccaabcbcacabcbcaaababbaacabcbbbaacbaabbccababcaacbcbbacabacbbbaaacbaabaabcacbbbbaaccbbbbaababaccbacbcaababccbcabcaacbbaaaaaacbcacaababbbcaccacbcbccabaababcccaabcccacabbbbbbbacccbaaaccabbcbbaabcacabbaaabbcacabcaabbaaaacccbbbacbaaacbcacbbbbacaccaabccbcbcbccacccbaaccaccbbbbbccbccbbccbbbacabccbcbcaacaccccabbcbacabacaaabcaaabaacccabbbabcbbabcbacabbaabccaaaacccbbcbbbabaaacbabbcbacaacabcabcacccaacbaaccabcbababbaacaaaabcbbbccacaaabababaabacaabaaabccabbabcabbccaaabcaaaabbcbaabbbcbabbbbacacbabbbccababbcbcbabbaccccbbcbbcbccbcbcbbacacaabbacacbcababbababaabccbccbaccccccaabbaccbacccaabbbaaaacabacbaaaabcccbcacbcbaaabbcbbbabbaababbcccccacbbbbabbaaaabbabacabbbacacaabbcacaababbcbacbccaacbccbbbcaccacccbabbabaabacbcccacbbcabbbcccbabcbbabbcbbcaccacabcccbcaccbacbccbcbbcbcaccbbccbaaaaababcacacccaaaacaabbabbbbaacbbbbaabaaabcabcaaccbbabbcaccccaacacaaabcbccabcbbbcbbccbcaabaacccbbbbbbbaccccbcabacbbacaccaaabcabacbcababcabacbbcabbbbacacaccaacbbaaabaaacbbababbacbcabbbbacaacbacbbcabbcbacbbbccabcbcccbbcabacbaacbaaabacabcacccbccbabaacccacbcbbcabaacaccccacaccbbabcabcabbacacbcabbabbbbacabaccaabcacacccaccbabcaaaaccbbbbaaaabccacccababbaaccbbaacabbaaaccbcbaacaccaccaacababaaabbbaccbacccacbbaabbcaccaabbcacabbaaaabbabbcccbcbcabaabaaccbbabcccbaabcccbcaccabccacbbabbcaaabaabaacbcbaabcaabbbcaaaacccaccacbbacbbbacbacbacbcbbabbcbabacaaabcbbcabaaabcccababacbaabbbaaccabccacbccaccaccbcbcbbbbcbabcbacbccbaaaabbcabcbcccbbbbbbbccbacbcbbacbcabbabcccbaabacaccbcacbbcaccacabcaccaabbbaaccaacbbacbccccaccbcabbcaababaccbbbcbbcaacbbbcccccbccbaabbbaacbaabaabbaacbbacabbcbcbbaccccbbcbabbacbcccbbcbbaccbabcaaaaacabbbcbbbabbbcbcbcbaccbbcacabbbcbbcaaaacbaabcbaacacbacabccaaacabacaaacbcccacacbbcbabcbccbbabbbcbbabaabbcccbccaccbbaacabaccabcabbbcbcccaaabcaaaacbabbabccbaaaabbbabbacbcbbbbbcbcacaabacccabaabbaaaaabcaabaccccbbbcccaaababcaccbaaccccabcabcbbbbaabccabcaaccccccbcccbabcbcccbbbcacacbbccabacbbaaaaacbcacacccabccbacabbcaaacbbcbbcacabbacaccaacabcbcbbcccccacababcbacccbcbbbaccaccccbcccaacbcabbbacccbbbbaaccbbbccbbbbcacaaacbbabbbcbccbbaaccccabcacbbaccccabcaaacacbcbabbbabcaaabbcacccccbcabbacbbcccbcbcabccabccaacabbcbbcbabaccaabaacacbcaabcbccbcbcccbaabaacaababaabaabccabbabbbacbabaacbabacabccabaabbbbcbbaccbbcabcbcaacbcbaccbacccbbcbabcbaabaacaababcaabbcbbbcaabaaaabbbacbccbbbacacabbbcaccbbbbcbcbcacbcbcbccaaabbccaccaabbcbacbcbcbbccbcabbaaababacbbcacbcccacababacaccbbcbbacbcbcacababaabcccbaaacabcababaabaacaacbbabcccbabacabbacaabbbbaccbcbaabbbacbaccbbacabccaccaabbabbacbccacabaaacccaaabaccbaabacabbbabbcccaacabcccbacbababbbbabbabbaccccbccbabcccbcaaabbccaaaacbccaacaccbbcbaacacccacbbcbbbbbcbbbccccbcccbcccbcbcbabbacacbbacccabbbcccccabaaaababbbcbcacccaabacacabcacbcacabababaaaacaccaabccbbacaccbccabcbabbacaabacababaaaccacbbcacbaaacbbbcbbcaacbbbaaacbbcccbacacaccaccaccabbcccccbbaccabcbcbabcbbabcaabcacaaaccbbcccbaccaaaaccccababaabcbccbbbaccbcccacbcabcbaaabaccabaacbabaaaabbbcccbaaabbcacccbaaacccacbcccaabbcbcbcaaaaaaacabcabaccbaabaabccbbcababcabcbcbbacbcaccbcbbaaccaabaaabbccbacbccbbbaabccaabbbcbcbbcccbccaccbcabaabbccbaabcbcbbcbccbbaaacccccbaccacabbbabccbbbabbcaacbaacabcbcbcccacbcaabacacaaccaccbaaacbaccabaaaccbbbabacccbcacabbcaaabbcccbbaccaaaccbabcccaacaaccccbaacbbaaabaacbcbbaabbcbbacccbbbbbcabcabaccaaccaacaacccbcabacabcbaacacabacacccabcbaacaaabccacacacbcbcbbaabccbaababaccacbcaaccbcaabcaacbbabbabccaaaabcbbcbcbcacbaaccccaaabcbbaaccbcaabcbcabacbaccabbabcbaaaacbaabcbbbbbcabaacaaccabccacabccbcbacbaabcabaccbcaaaacacaabbbcabaccaacbcabbcccbbcacacababcccabcbcbcbacccaaccaacaabbcbccaaacbaaccacbcbbbccbbcbacaaaabbbbacbccbcccbcaccaacabaccbcabccbaccabccbaacabaabbbcccbbaaabbabaaacaaaccababbacbabcaabbacabcbabcabbcbcbaabccaabbabcbbabaaccbabcabbabcbcbbaacccbbccabccabccbbbcbcabacaaabbabacacbacbbcabcccabbbbaabcacaabcabcbaabcaaacabcbcaabcbccacbccacaccbaacaaaabaacacccbaccabcccababcaccacabcabaccbbbcccccacbbaabccaabbccaacbaaccacbabbabaaccaacabacabbabbabaabccaacabcccccbbcabbabccaaaccccabcacbacbcaacbcaaacbbabcabbacccababbaacaacbbbbbbcaccaabbbbaccbaabaabcababaacaabccbcabbcabbbacaccbbabaccbbbaccbcccbbbbccccabbccaaabaabbcbbababbaaccbbbbbccbacacccababbbbaaaaababcbbcbbbaabbcccbcababacaaabbcabbacbacacbcacbbccabacabaccbbabbabccccccbbcaaccccbcabcacbaaababcbaabcccabbbbabcbbcabaccaccaacbcabaacbbabbaacbacbcccccbbbabbbaacbbacaacbccaccbcbbccbabaccacbbccaacbacaacbbacbccbbbcaccbabbaabacaaaccccbcbccbcaccacbcabacaaccccbacacbcbbbbaabbacbacbbaababaaccacacbabaacabcbcbaaacabaaaaaababcacbcbacbabbaabbcaacccbcacccaccbcbcccaaaaaaaccabbabaacaccacccccabacacaaccbcbacbccabcbbaacbccbaaccaaaccaabcccbacbbccbaacbbcccbbbbacccbbcabbabacccccacacaccccbabcbabcbccbabcabacccbcabbbccbcbcccbbabcaabbcbcabcbccccabcccbacbabbbaabcbababaacabaccaaccaacbccbbabaacbacbbbbbcaabacaaacbabaaaabbcacbccacbbbcbaabcbbabcabccaaaccabccccbaccacbcbbabbabaaaababcaaaabcbbbcaccabbcbabbcabbcacacccbaccbccacbaaaaabcacccacbabbacbcbccbcbcabccacacbabbaaacccabcccacaabbacccacbbccabcabbabaccaaabacaacbaacbaaabacccaabcccccbbcccbaaccbbcbcbbcabbbabcbcaccaccacacbbbacbcbbbaccaccaacccbabcccbaaccbcacacacacbccababcbcaccbabcbcabbcbbcbbababcbcccccccabbbbbcacbaaaaaacbbbbabccabbbcbaabcabbababbaaaaabbcbcbbbbccbccacbcbccbbaabbbccabbcaabaaaaacacbbccaacaabcccbbcaccbaaacbaabbaabaccbccabacaccaaabbbccbabcacacabcaabbabcababbbaabcccaaaacbbbacccccaabcacbcbccbbbcbcabbacbabcbccbacabaccbcbbbcbabacccbbcacbaaabbbbcbaabbbbacacbccaabcbbcaaaaaacccbacbcccacabacbcaacbbabacbcaacbabaaacaabccccbcababaacbbbabcaacacbcbbcaabcbaabccababaaaaccabacacccbababbbacaaaabaaabaacabcbbcababcabaabcbcbbabbbbaaacbbbbaccbaaacabbbcbbabaaacaccacccbaacbabcbabcbaacabbbacababbaacccabbabcbabacbaabaababaaaacabccacbacaaaaacbaabbaababacaabbbbbacaccbabaabbcabbbbbbaaaaccccbbaaaaaacaaaaacbcbcbacbccacbccbbbbcbabbabbaccaacbccabcbcacbccbbaacbabaabaacbbccacbbabbacaacbccbbccbbcbaacaaccbacbabbcbcaacbbaaacccabcbabbbcbbcaababaccbccccccbccaccccbabaccccaaacbcbacacbbcbcbabccbccbaacbcccbcacabaaaacbbbbbbaaacbabacabbaacabcccccbcaaccacabbabcabbcbabacbbaacbabbabbaacbcabcababbbcabacbcacccaccbaabbababbaacabcabbbbccbaccccccabcbbaacabcbacacbabacaabaaacccbccbccccacaabbcccbbaacaabbaaabcccbcaccaaacbbaababcbaacabbbcbacabaccccabbbbabaccbbbacabbacbcbaccabaacbbccbbabcaccbccccaaabcaacccccacccaaabacbacababbbcbcbaaabbaacbaaacacbbacaccabcbbbabcccacbaabbcbabacbccbabbacbcbaababacabcccaacbcacabacabccbbcbbabcaaacbcabacbbacacbbbbcbbaccacccbcabbbacabcacbbbaababcbacaccabacabcbbbcaaacabababbabcbaacacbacbaacccacbabbbcccacccbacabbcbacababaccbcabbabbcabccaabcacababcbaacaccaabcbbcaabbababacabcbbcbbccacbababcacaabbcbcacbbcabacbabcbcbbbacabbccababaaabbabcbccabccaacccccabaacbcabaccbbaaacabbabaaaacbbbbbbabacccabcaacbacbccabcbcabcbcbbccccbacbbcaabbbcbbbaccbbcbbbacacbcbbacbbbccabccccccbcacbcabbcbacabbbbbaaaabbaacbbabcacccbcacababaaccbabcababbcbcacccbaacaaabcabbaaaabbbacacaccacaabbabacacbccbcccbccabbaccbcaccbacccbccacaabaaabbacbcaccabcaabcbaaabccbcbccbcaccabbabacaacabbbbbbbababbbbccbcaabcbcbababbcacacbabbbcaaaabcaabccabbbcaaaacaaaaaaaacaccbbbcacccacbcbbabacaabbbbbbaccbbbcbcbbcabcaccbbbaacabbbcbababbbabcabaaabacacbaaaccacbbcccbababcbabbccbabccbbaaababbacabccbabacccbcbccabbabcbbacbaacaaacbbcbabcaccaaacabaaaacbaabbacacbaabbaccabacbabbbbaabccbccbbaccccccbccccbcbabccaccbcabcbcaacacbcbcbabbaccaccabbbbabcbcbcbccccababacccccbbbacccbbbbaabacabbbabaacbcbabbbcaacabbbcccbacccaaacbcabaabcbbbcaababaabbbbbcccaaaacaaaaacaaccaccbcccccababcbaaccbaaaabcaacaacaabbaccaabbbacaabbcbaacabcaacbaccbbcbacabccaacaacacbcacbcbcbcabcaacacacaacabbababaacacbccaaacacabbcbbbbcbabbbcbcccaaabacbcaabbcccbaccaaaacabbbbabbcaabcbcbbaaccaacabccccbbbbaacaacbaaacabcccbcaacacbcacbcbacaaacaaaccaaccbccabaabccacccabbccbbcacbabcaccaabcbabbbcabbaccabaccccbbacbbccaccccccabcababacbbcacbcbcbaaaaacbbaaaaaabcacccbccbcbccabaacbaaabcacaaabbaabacaaacbabcbaaaacbbcbbacabacbcccabaababcacccabbcbccccbaacbabbccacbbaaababcbcbbaaccbcbabcaaccaaaacbbabaccbcaccbaacbabcabacccabcaabcaababbabacabbbacaccaccbaaacaccbbabcbaacabcbaaaccababaaabccbcbbbcbcbabcaccbacbaacbbbabbcbcccacbbcabccaacbcbcaaabcbcbbacaacbacaacccbbcbcccaabcacacbbccccaccaabacaaabbaaabcacbabaabaccacbacaacaaaabababbcbaccbcaccbabaaccabaaccbcaccaacacccbacacbbbcacaaaabacbcaaacccabaabbbcaccaaccbbbacccbaccabccbbbbaaabcbabbcbaccbacaacacbcbbabbcaaaaccbcbbaaccbcbcaacaabcacbcccccbcabccaabaaabcbcacbbacaaacaabbbcbaaaacbbbaccaccbbbaaaabbccabbcbacbbcaabcbcaccbbcaaccacbabbcababcaacbcabbbabbaaccbccbcccccccacbbcbbcbcaacabacbaacaacbcbaccabaabbabbbaacbbcbcccccacbccbbabbbbccbcacabccbabcbabababbbabacbbcbaaaacababaaacacbcaaccbacaabbabcbcabbaccbbbbccaaacbcbabcbbbacaaaaacbaabaccaaaccabbcabaccbaaaccbccccbbacbcccbbbacabcbbaaacaabbccabcbbccacabbccbbcacbbcbccaaabacbabbbbacaacbcbccccbacaaababccbaacaabacacbccacaaccccacbbacbcbcaccbabbcbcbcacbbcacacacacabcccbacacccabaaacaccabccabaaccaaacaaacbccabacbbccbbbabbaabbccbbcbabcbacbaccbbaaaaccacaacababccabbbbcccabcbbaacbcacaccccbaaacbacabaccbacaabbacccbabbacccaabcacbbbbaacbccbbcccbcbabcacbbbbcccbcaaabcbcaacaacbcaaacabaaababccbaaaababacaccbaabbbabaacbaaabcaaaacbabbcbaccccccabbbcaaababcababacacccbabcacbbcccbcaaccbaaaacaaccccbccacbcccaaabccabbcaabacbcacbcabbbaaaacccccbcaccaaabbcccaccbbbbbacabacaaabbabbababbbcaacaccbcaacbbcbbbbcaacccbbcbacabbbaacccaababcbbcabcabbacbaabbaabacbbbabccbccccaabaaccacbbabababacccababaaaaaacaacaaccaaabcaabaabbcbaaaabbbababaacbcaaabaacabbacbbbcabbcbcccbcaaccbcbcbcaccbaaacbacbbbbabaaabaccaabbcccbbaabcbcbaaabbbcbaccbbcbcccbaacacbabcbabacabcccabcababbcccbbcbaaacccaacabaacbabbaaaaaccabbcccbaabcacbccbbaaaabccabbbabccabcbbaaaccaaacaccbacbbaabcabacabcbbabaacbacccbbabbaaabcaaaaacbabbbaaaaacbaacbacbababcbbcbabaccbaabacacbbbcacaaaaacacabbaaacbacabbcccbbbaccabaacbaccacbababcbaccccbabacabbabcccacaaccabcbccbcccbcbcaaaacbbccbaaaaabbbcacababccccbacbcbacbbcbbbaacbbcaaacbbabaccaacaacaacbbacbcccabaaccbcbaacbcbbabacaaaccabaaacbcccbbabcbbcabbabbcbbcbaccbbbcbaccbacaaabaabccbcccaaccbaabccaccccbacaacabababcaaabaabcacbbbcbbccbbacbacbcacbacaacbbccaccaababccbcbaaccbccaaabcabaabbaababbbaaccacccabccbbabbbaacababaaccbbabbcbbccaccacbcbaacbaaccbbbcbcacaaacccbcbccbccccbccbcbcbcabcaccbaacbacacacbabcaaabbbcccaaacbcaacbccacacccbbbbaccabcccaaccabbbacaacabbcbaaccacabcacbbababbcaccbcbcaccabacbbabbbabbcaccbbbabacaabbabbcbacabacbcabaabcbbcbbacbbccbcbabbcbbcaaabcabbcaacbcacbccacaacbccbccccabbcaabaaacbbacabbaacabacbabcbbcccaaaacbabbcaccaaacaaabababaaaacacccabccacacccccccabbbaabbbcabbcbcacbacbabcccbaaabcbbabccccbbcbbcbabaabcccbcabcacbcaccbbcbbacaabbbcaababacaccaabaaccccbbcacbbcbabbccaaacacbbcaccbacbbcbaacbcaaacbbabbbabcccacabcaaabccbacaacaaacabbccacaaccccbccacabccccbbcaaccbcbacacccbcabbbcaaacaabacbacbabcbcaacbccbabaaccaaaacccabbcbbbbacaacbbcabbcaaacbbcabbbbcaccacbcbbccacacbbbccbbaacbaaabaacabbbcbabaaaacbccaaababcaababccabcabaacbcaaaccabaabbbabccabcbabaccbabbbbacacaacbbaccabcbbaaaabaaabbbaaaabbaccaaabaaacbbbcaabbbacbbbcccaccabaacbcbbccccabcabbaacccacacaaccabaacbbababbcaaccbbbbbacaaacbbabbbbaabccbbcbaccbbabcccbbaaacacbbcccabbabbaaaacbcaabccabcacbcabcacaabcababbbbabbacbcbabacaabbaabcbcabbcbbcbbbaabbabaaacabcbcaaccbabbbaabbbbcaacccbbabbaabbaaacbabcacabbcbccaccbaaaccbbaabcacacbcccaabccccacccbbbccbbabbbbcbaccbabcaaacaabcacacbcacbbbbcccabbccbbcabcbbabcbcbccabbaabaacbcaacabcbacabaaabcbcabacaacbbcacbbbcacbacccbacbcbbbccbabbaacbaccaccbaccaccaaacbccccccaaabaccabccabacabcacabbcacaabbbbaacbbaaababaaacaaaaaababbbcbabcaccbaabaaaaabacbabbabbbccbbacacaccbaabaccbbbbcbcaccaabcacaabbacbaaaababcabbbbcbbabacbacbbabaccbcbbbacacbaacbaacbbbbbbabcacbcacbaccaaacabaccacccaaacbcbbcccbbcababacaabbabbbcacabbaabcbcbcbbacababbcccbabcbbccaccccccbbabcbabcbbbbaaaabcccaacbbcabbacbcabcbbaaacccabcabbaccbcbcacaccccccabacaccacabcccabbababacbbbbccbccbacbaacbaccbaaabbcacbccacaccaccaabbaacbbabbccaabbcbbbbacbcbbbcbaaabaacbbcaccbabaccccabacbcacccbcbaabbbbabcbcbbcccccaaabaacbbbbccbcaabcccbabbcbcccbcbaaaaacbccbabcbcabbbccabaccaababcbcaabacaccbbabcbacbbbcaabaccabcccacaaaacaababcccacbbbabbaaacbcccbcbcbbbccbaacbabbcbaaabcbbcaaaabbaccbacbbcbbabcccccbbbaaacbbbabbccabacaccacbacacbbacabaaaabcbbbcaaabcbbbaabacccaababbaabcabbaabbcaabbababbabbcaaabbaabbbbbababcbabbabbaacbbabababbabccaabbcbbbcaaacaccccbabbbccbcbbccbaaaccbabbccaaaacacabcaaaabcbcbbcacbacccaaaabcaacbaaaabbcaccbcbacbabccccbcabcbacacbbbcbbaccacbbcbacabbcaabbbabaccacaacccbbccbbabbcbcacbcccccccbacbbaaabcabbbcacccbbabababcccaabcaaaacbbbbcbccbbcaacabccbbccabacaccabaaacccabbbbabcaccbbcaacbbccaaabcbacbaacbabacbacacabaabbcbcccbaaacacccabcbbbcabcaabcccbacccbbbbcabbbbaccbbbcacbabcbabcabbcaacabacbbbbccbbbabacababaaaaccaacabcacaaabaccacaabbcbabbaaccaaabbbccbbccacaccaaaccbbcbbbabbbbaaabaccbacccbbccaacbbcacabcbcababbcabaaabcbbbababbcbaacbccabcbcbbbbacbcccbcabaabbccbbbcaaaccbcccaacccbabbaaaaabcaabaaabbbcaaaacbacaccbcbccaabaaaaabbacbbccabaaaaccaababcbbabababbbabbbcbcccbcbbabcacbcaccacbabcbabcaaccbccccbbabacbbbacacaaaccaacacbcccbacbbcbccccbbcacacbbabbbccbcaabbabacbabcacacacacbacabaabbacbbabcaccaabcacccbaaacbcaaaaabbaacbcbbabccacbacbabbbcabacacabcbbbbacbcabcaccaaaaacbbbacbbacaacaaabaabcacbbaabccccbacaaabcbacbbccabbabbabbcccbcabbbcbccbbbaacbacabaccbacaccbbbabccbabcbbbbbbbacccacbccacaabcaaccbbcaacbcacabbccbbbbcacccaaaaabbbccbbbbaaaacaccabcbcbcaccaccbbcbbbbbbabcbccaabcaccbbbcbccaccabcaccaabccaaacbbbbbbbcabcccbcbcaabbacbbcbcbbbccabcccaabbbcbcbccbbcabbaaccaabacbabcbbababbbcaacccaacaaabababaaabbcbbcacbaacbacbcccabbbaababcccbabacaababcabaabbacbaaccbccabcaaaabbcbaaababccabcaaabbbcbcbbcaccbbcbaabcaccabbaacabcaccbcaaccabbabaccbbbcaacbccccbcccccbacabccaabcacbbabcaaabacbbacbacbababcabacbcccabbbbbaacccbbcabcbcabbbcbabcbaaccabccaabbacacccacccaaabccabcccccccabbbcbbbbaaaabacccaaccabbaccbaabcbcbbbabcccaccaaabcbccabcbbbcbcbaabaabccbabccccbaabbcaacbacbabccbbbbcabbbaabbacbacaabcbaabacccabcabbaabcaaabbacbaccbbbbbabcccbbaaaccbcacbaaabacbcccababbbbbbaabbacabcbcbbcbacbbcccbccabbaaccacbccaabaaaaccbcccbaccbaabbcbbabbabcccacbbbbbbaabcbbcbbacbacaacacabaaaabacbcabbabcacabccbbabcbcbaabbabcbcabbcacaaabbacaccabaabcabcccabccacacccbacccabbbbcaababbbcbccccbabaacaacacacbcaabbcaabbcbcbabcbccaaaccbabcbaccaccbccbccbbccacbbccaabccbbbcaacaaccaacbcbababababcabbcababaabbbcbaabbbcbccacbcbcabcaaacbbcacbccbccabccbbbbacbaabcabbccbaacbbbcabccbbacabaccbabccabbbcbaaccbccbbccabcbbaacbcbbabbbbccbcbbbbacbacaaabcbbabcaccacbbaaacaacabccbaacaababbacabaaacbcbcaaccbbcacbabcbcbaaaaababcbccabccbacbcccabcbbbbacbabcbccaabcaabbcaababbbabbccaacbcabacaaacacabcabcabccabccaacacabbbabbcccbcabaacaaaaabbbbcabbbbbbcccbcaaabcbbbaccbbbbbacababaabbbabcbcacabcbacbabccababccccacaacbbbccbcabaababcaaacbbacbaccabbacabababcacaacbcbaacaacbbabcbabaacacbacaabcabbcbbabcbabbccbcabbacabbbcccaacaacaccbbaccbcaaacabbbccbbcaccabbacbcbaaabbbbbcbaaccbbbbaaccaabcbaaccbacbbbcbcccabcbbbbcabcabaccbaacccbbbbacaababbccaccaccacacacabaabbbbacbcccccbbcacacaccbcababbccaaabcababaaaababcbacabbbaababcabbbbcbcabcacacccaaacaccababbbccabbbabcabacbbbabbabcccccbbcccbcbaaaccccaabcaccaccaacbaaabbcaacbbbbbbcbabcabbbcbcaacaacbbbbcccbbaaccccbbabccababaaabaabbbabaacaacabbbbbccbcbbbccaabcabcbccbabbbcaacccabbcccacbbbbccccbaabbbabcccbabbbcaacbacabbccbabbccbbaabcabccbcaacaabbaaccabcccccccbcbccbaaacabcaabaacccabaaaababaaacbbcbcacbbabccccbaacbbbbbabbaccccaababbbbbbcccacccbbcbaacccaabbabbbacabbcacaaabababaaacabcaabcacccbabacbcbcccbbbcabbbacabbcbbabababcccabbcccababbccaacabbaccbacaccbabcacacbacbbcbaaabcaacaacbbbcbcabbcbcccbaacaaccbaaacacbcbabbaccabbbababbcccaacaacccabbbaccbcaabcbbcbcccbaacbaacbacccababacabaacbbabacbacacbcaacbbcbbcacbaacacababbaaacacccbcabcbaccbaacabaabcabacaaabacbbbbbbbaccabbbabcabacccbaabaaaaaabbbcccaaccabbbcbccbbcbabcbabcaccacabbacbcaabbcaaaacabbacbbacbbabaacccabaabbcbccbababcbaacbaabaaccaccabacbaaacabbbacacaacabccbcabababbaabcaaabaacbbaaaaccbcbabaabbbabccbaacccbcbbcacccbbbbbaabccabbcbabbbbcbacbabbcbcabcbcacabababbbaccbccbccbcbcaacaaccaaabccaaaaabaabcbcaabbbaccbcccacacacbcacbaacabbcbcabbabaaabbabaaabbababcacccbcbccbcccccbaaccbcabcbcabcbabbbccbabbabacbbacccacbbbcabbaacbcbabcabacababbcabaacbbcabbccaaababbbbaccacabbabbaccabbbbbaaabaababcbcccacbaabaabbababcbbbcaaaaacabaacabcaaababaacaccbbbcbbaaccccbcbaacacaaaaccccbcbaabbabaacbaabcabacaaabbbcabccbbabccbabbbabbaabbbbcbaabbaabbabcaacbbccbbbbbbacacbbbabcccacaaabcbabaabacbabcacacacabacaacbcabcabccaaabbccaababbbcbbbbabcccbcabbbcbcccaaaabcbbbacbacccbcaaacacbbbcacbaaaacbacccbaaaaacbacaaababcbcbcacbbcbcbabbccbcbcabcbbbaaccbcccacbacbcccbcccabcaabbbcbabaabcbcbabaabcacaababbacccaabbcacbbbaaaaaaaccbccaccabbccbaabcccaacaccababbcbbbccabbcbcbaaabcaabacaccbabcbcbbbbcabcabbccbbabaabaaaabbabcccbcbacccbcaaabbbaccbcabaccacbbbccaacbcacabaabbacaaabcabbcbcabcabbbbcbbabbbaccbbabcabcaaccbbbbbaaacccbaccaabaaacaabaaaaaaabcbbccbabccacacbaaacbbababcbbaabacaccaccbbacccbaccbcacccabbbcccbabacbabcabbabbaaccccbccaccacbcacaaacbabacaaabaacabaacbccbbcaaabaccbaccbccacaaababccbbbbbaacaccbcbbbcaabaabbcccbaacbbbcbbbabbbaabbbbacbbcaaccaaacbcabcbbabccbbccaabacabcbbbbbcabcaccaaacacbccaccacacbacbacbcacccbcbabacacaababbaacabcbaccbcabcbaabccaaabbccacabbacaaabbbcaabcabaaaaaaabbaaccaabaccbbbbcabbaaccaaccbbaccbccabcacbbacbaabcaabaabbbcccacaacabbccccbbcccbacacbcabcaaacbcbcbbbbccbcbbabaaaccbcbacbacaaacccbbaccabbcabccbacbcaabccabbbabccbaaacacacaacacbccabacaacbcbcacaabaaaabccbbbaaccbcbaaccccbaabbcbbbaabcaaacccccaabaaaccbaabbcbcaaccbcaaaabbccacccbabbcbabaabcaacabcbccababbccccccbcacaacbbaaabcabaabaacbabcbaccbabaaaaaabbcbbcacbbbbcabaccbaccaccccacabbabaabcbbabbabbabccccbcabcabacbbabaacabaababbabbbabacaaaacbbabbccbacbcbabaabcaabbccccbacbabcbcbabbaacbbbcabaccbbbcaacccbbaacbacaacbcbabcccbabbaabbaccbbaaaabbacaacbaccabaabcbabcaaacacccbaabcbbbacaaccacacaacbbaabbabccccaaccabaccbbbbbaaabbbababbaaabbcbabcccccbbbabaabcbbcababbbcccbaabaaccbbbacacbababccaaaacabaaacbbcacabbbcaabcbccbabaabbababcccbbbbcccbcbbaabbcbbabaaacacaccaabbcbacbbbaacbabbccbcabacacaaaaacaaccbbaaacabaabbbbaccbcabacacccccbaaacaaacacbbcabbcbbaaccacaccbbbcabcbcbbccbbbbbacacbabcccccbcabaccbaabbaccbcccbbbccaabcbacccacbaaabcbbacbaabcacacbaaacaccaaaccbbacbcbabbbbbbabcbccabbbaaabccbbbcaacbbbcaaccbbbaacacaaaaccabcaaabaababcbbcababababbaabbbaacbabcaccbbbcabaabcbabbcbacccbaacaaaababcaabbaabbbcaacbcaacbbccbcbbaababacbcabbccbaaccabbacbaabaabcacabbbbcaaacbaacbbabcbaaacbbcabaacccbcbbcbaaacbaaabbcbbcbbcacbbcbabaaaccaaababbcbabbbbcbccacaabbbcabbbbcccbbacabcaabcccbbccccccabbaccababacbbabbbbacbcabababbbbbcabccbbbbbaaaabaacbcabbbaabccbbccbbbbcabccccbcbccbacacabbcaabbabccbbacaaaccbbcbcccbacbcbaabbbcbcbbacbabaccccbccbcabbcccaaacaabbcbabbabaabcbccaabbcbabacaacacbabacbacccbabbaaacacbbbccaacacbbacabcacbbbbcabcabbcbcbcaccbbaaacaabbbbabcbcabcacabcacccabcbacbaabbabaaabbaabbcabacacacbacbccacbcbaacaaccacabbbbcbabbaccbccaaaabbbccacbaacabccabababcccaaacbbccaaacbcbabbbccbaccaaabaaaabccbaaacccabbccbbcabbaacbcccbcbaaabbabcabbabbabcaccbaacbaccacaabacaaacabbbbccacbbacbacaaaacacbcabcbbbaaccbccbcbcccabccaaacacabcabaabcabbcbaacbacccccbbaabcabccccbbbbacbaababcbbcccaacabccbbabcacbbacbcccccccabbaaccaccbabaccaaaacbbababcacbbccacbcacbbbcbbcacccaabcbccbcaabbababbbcccacccaaaccabccabcccaabacaaaccbccaabaaccaacbbbcccacabccacbacaaccbcbbbcababaaaabccbbabacaabbcbbacbacbcccbcccabcacabbabbbcbababbccbcbcaabaacbcacacbcaabcbabacaabacaaaccabbbbccbacbcabccbcccbaaccbaabcabacbcacbcbacabbcccabbcacaacbaaabaabaabcbcccccbccbbcabcbcbcccbbbbccabaacbcbabbaacaacbccabaaaacaabbbacacaccabccaabbbbacbabcbcaabacccacbcbbbacababccbbccacbabaacaaaabccccbaccabacacbbbccbacabcabcbcabcbcbcccbacacbbabbbacacaababacbcaacabcbabbaabcccbaabbbccccbcbacaaccbbbcabcbcabcaacbcccbaaabbacacaaacccbabacabccabacbbacaabbabaaacbcbabcaabaccacbcbabcabbbbcbcacbbbcccbcbbcaccaabaccbbabbbcbaababcbaabbabbaabbbcbaccccabbaccbbcbabababbcbbbcbbbbcccbbcbbaccbbcabaacbabacacbbaacaaccbbbabcaababcabcbbabaaabccbccbaabcbccaccabacbcaaaccbaaacccbccacbcaabcacaaaccbcaaaacaabacaaabbccbbccbbacbaacaabbcaccacbaaababcbaabcbcaabaabaabbcbccbccaaaaaabccccacccabcbbaccabbcaaccacbbcbababcabbbaccabcbabacbcbcbccbabbcbcbaaababaaaabcbacacccabcbcacaaababbbaccaabbcaabcbcaacabaaacabbbbbbcaabbaacabcaabaccacbbbabbcccbaaabacbabacaaaaacabcaaabbbcbacbbbbaabccaaabbaccbaaabaccaababaacbabcabbcaabcaccacaababaabbbaabccabcaaacccabbcbbcbbbaabcacbabcaaccbcaababacabcabcccbbcabcaccaabacbcaaabbcbbaaacbabacaacbcccabbcbaaabbcbacabcbcabaacacbbacccabbcaabababccabcccacbbcccbcaabcabacaaaabbaaabcababbcccccbaacbbcbaccaacbbababbbacccabbccccbbbbacaabaaabcccccbcaaaabbbabccbaaacbcccacaccabbccbabcabacbcaabbbbccaabcacbcbcabbbbacababcbacbcccbcbacaaacbabbabcaaacbaacacabbcaacccabbaaaccacbcbbabaacbcbbbabcbbbaaccabbcbaaccaaaacbbcbcbbacaacbcccbccbacacaaaacaaaccabccbaabcabacaacaacccabbcbbcbcccacbbbcabaabcbaccaabaaabbacbbbbcbcacbbcccccabccabbccbbababbbccbbababbbbcbababbcbccbbaccabaabacabcaaacbaacbaaaacaaccbcbcabbaaaabcaccbababcbacaabaabcbbabccabcccccaaabccbacccbbaacccacbbbbbcbcbababaaccbbccaccaccbbbbcbacbabbcabcbaaacbacaacccbabcbbabccababbabbaacbcaaaccbcbccacaccbcbaabcbaabcabcbbabaccccabbcababcacbbbbcbcbbbcacccbcccabcbacccbcacbbbbabcbaccacbbbccbaccccbbaccabcaaaccabaabccbbbaaaaaacbabccacbaaccbcaabcbcccaccbabbabacacccccccabbcaabcbacbabacaabcbbbabaccaaacabbbacabbbcbaccbacbbbbcaaacabbbbaaacabbbbbcabccbbacbbcbbbaacbbcaacccbabbcabaaccaabbacacbcbcaacbcabcbcccbcaabcabcaabbabacccaccaaaaaababcbaaccccbcbcbabcaabcabbcbacabaccacbbbbcbcbcbccaccaacbabbcbabaccaaacbcccabbaaabaccbbcbcababbacabbcbcbaabbaaacabacacacccaccabbccacabaccaccbaabbacbbacaaccccbbcbbacbccbbbbaccbbabbbcbbabbbbbbcbbabcbbaccbbabbcbcbbacbabbcacbabcbbccbbcacccbcacbcbbaaabaabacbcabaacabbbaacacccabcbabbabbbccabccaaaaabbacbcaaaccbaabcaacacacabccaccacbbcacaaaababbbacaaaccbbbcabccaabccbccaaccaccacacbaacccbbccbacacacbcccaccbcabbcbccbbbcbcabccaaabbccacbaacbcabbbaabbaababbcbaabacbacbbacbccbbaabbaaabbbbcbaacaccbbcbaabbabacaabbacaccbcababbaacbabaacccccacccbcccabbbccbcbcbcaabaccbcacaacbcbcabbbbbaaabbaaabaaabcbbbbbbbacccbcbbbcabcababccaabbbccababcccaacaabcbacacaacacabbbaaaccabaaabcbcbcaacaabaccbcbabbbcacbbcbacbbbacaccaababcbcacababcccabcacbaccbbcaccacbcbabbcccabaabcbcccbabcaaacbcacbacacaaaacccaaabccbbcaccaaabbbcbcabcbaabccaabcbacbbbaccbaaabbacbbbcbabccaacaccccbbcacbbcaacabbccbccbbcbcacacabcbbccaaababcccabbccbcbaaaababacbcbbabcaabcbcabbbbbbaabbaaabbcbcccbcacacaabbbbabaaabaaacbcbabbcbbaccaaccabcabbbccaabbabcbcabccacacbbaacccababccbbcaacababcccaccacbcbbbaabbabbbaccacabccabccaaabbccccccbabbbabbcacbbcccaccccccabacbbcbbbbaccbbaccbcabbcababacaacbbbccbcaccbacccabcabccbacbabbcaabccacbbbcaccbbbbaccbcbccbbabbcaacacaabcaabccbbaabbbabaacabccbcbbcbcabccbaabbbcabbcaaccaccaccacabcbaabccbcabbbaaacccbacaabcbcabbcaaccbbccccaabacbaaaacabacccbbacbaaccccabcbbcaaaabccaccbbacbbbcbaaacbcbacbabbbcaccacabbbcccbcbcbabbccbaccbaaaabacbabbcccbcbbbbbbabacacbabacccaabbcccacbbccacccbccbbbcababababcabcccacbbacacbbcbabaabcabcbccaaaabacaacbbabaacbcaacbbaccbbbcabccbacbcaabcbaacaacacabccbbcaccbbcabccbcabcaccbbaaaacaaababbbccacaaaaabcaaaacbaaccaccacbaaacaaacacbbacbabaacabcabbcabbaababcbccabbbcbbacbcbabbbbbcbbabbaacabbbcacccaccaabccbccbaacbcabbbbabbaacaaccbabacccbcacbcbbaaacacabbaccbcbccbacbabcbccbbcccbbacacbcabaabcbbaacbccaaaacacbbabcbabcaaccaaaaabacaacacbcbccbcbcacccabcccccbacbbcbabbbbaacacbbaaaabaaacccbbbcbcbccacbcccbbaaacabbbbccbcaaccaccbbaaabbbbccaccbbbcbcbcbbccacbacbbcacacaaaaacaccaaabcabaaaaabccaacbcacbbacbcbabcabcabcacbbaabacbbbbaccbabacbcbaacccbbbcbabbbccbacacccabbcbabbbcababaccbccbbbbccaaaaccbabacacbcccbbcccbcabcbbbacbbcbcbbcbacbbbccbbaaacbbabcacbaaabbcaccabbbbabcbaababcaccacacaacccbbbcbccbcabbbcccbcaabccabcacabbbcaaababaaaabbbccabbcbbabacbbaacbcccabcbaaccbbccaaaccabcacbbcccbabaaabbacbbbccababbacbabaaccabbacabacacbabcccacacbcccacaabcbccbcccbcabcbbcabbabbbaccacaaabbabaacaabacabbabbbcccbabbbcbacbabbbbbacbbbabcbbaacccaabbbcbacaacbabaccabcbbacccbaccaaacacbccbcaccbabbcaaccccbabbacaccbaacccabaccccbcbabbaacaacaccabbbccbccbccaacacbaabbababbbbcaabcccccbccbcbbaccabbbaccbbaababbbabbccbbbcacbbbbabbaabaabbbbacbaabcccacccabbbcbbbbabaababcbaaccbcbcccacaabcbbcbacbbaaabbabababcaacacbbccbbabacacbacbbbbcababcababbbccccccacaaabbabacaabcacbaccabcbbaaccaacbcaababbccbaaccacbaccbaaacabbbbccbacabacaccbaaacaccbacaaccccbccbcaacabbbacbbabbaacaccccaabbcacbccbcbcaccacabbcbcaacbbbaaaccbbabccaabcccbbaccabaccacabccbaabbbbaabacccacbabbcbaabccbabcabbabacbaabaacbbaaaccabacaaabcbbbbcbaaccaabbcccaaacbbaabccbbbaabcbbbccabbaacaabaabcbcccacbcaabababaabcbcbbcaaacbbaaaabcabaaaccaaacbbbabcabbabbccacacbccccccbccacaacaabcaabacbcaacacabccbbcccbacbcaacacacbbbbbaccbbcbbacabacabcbcacaaacbbcabbbcabbacaacaccabbaabbbcbaaaccbbaababcbababbaabbccaaabccabcbccabacbacccbcbbbabcaaababbbbcababbbacacbbabaaacbccaacacacbcccaabccccaaaaaabcbbbcbaaaaaacbbaaaacabacaabbaccbbacbbccabcabbbbbacacbabaccbbaccaaaaccbbacbccbbacbabcccbacbbbaaaaccbaabbcacacabababacabaacbaaaabccbabbccbccccababcabcaaabccbaaacbbcbcacccabbcccaaccbacabcabbcaabcbaacabcbbabbaccabcbbaaabbababcaabbbcaabcabbcbacbbbbcacbabbccacabababacacabccabcbaccbaabbcacaccbcbabbbaaaacccaabcaaacbbabccbccabcbabbacccccababacccaacbcbbabbaaaaacabcbaabaacbaaaababcbaccccbccccbbccccacbaaccaccccbcbcccaabacbcacaaccabaccbbbcccababbcccbcabcbbcccacbbbcaaaacbacabaababacbcbbbaccaccaaacaaabcabcccabbccababccbaacaabaabcaacacabcabbaccbcaacaccaabaaccbbaaaccabbaacacaccaccbbabccccabaaccacbcacccbcaaaaabacccaaaccabccbbaacacbbcbbcabaaccbbbcabacabcabcbbcccccbaaacabbccccababbccbbcbbbbbbccacbcabacacabbccbccacaabcabbabccaccabcbabaabbabcbcabcbccacaccbacbbbaccababbabaccbabccccbaacbbcabbbcccbbcbbbabcbcbacccabbbcbbaabaaaaccaabaaaaccaaaacabcbcbbbcbbabcacbacaabccbccbabcbcbcbbcbacabccccaaabacabbbbccacbccbcacbcaabababbcbbbbcbaacbcbbcbacbcacbcccbbaccbabbacbcccaaabacccccbaacccbccabcacbccbbcababcaaaacaaacbbbbaacbcbbabbaaabbbaaaccaaccababccaacbbaccaacabaaabaaaaaccaabbcbcbbbabbccaacabcccaabbbcbbababcbacbcaaaabcabbacbcccbbabaabcbbbcaacbccaabbbbaaabcaccbbacbccbbccbbababaababacbaccaaabcccaabacbaacbacbcabacacabcbcbcaaacabbabbcabcbaacbabcaacacacbacabbcbacbababcaccabaabaabbcbacacccbaabbaabcaaccbbbbcbcccacabcbacccabaabbccbcbabcaabccacaabaabaaaabaccccbbbababbcaabbcaccccabcabcbaaababbaccbbbbababcbaaabcbcbccccbaaaabbabbbcaabaacbccccbaacbccaacccbbcbcbbbcaabccbbbbacccbaaaccbaacabbcbacaaacaccaaccabaacaacacabbaabbcbccbaabbbbbbccbbcabcacacaaabacabcabcaaaabcccbcabaabccabbabccaacbbabbbcaabbaacbcabbbccbbbabcaccbcaabcaacabacccbbabaccabcbbbabbaabcbbaaccabbcccbacabbabcccbacbbcbbbcaccabccabcbabbccbbccaababbacacbbbbabbccaacaabccbaaaabcaaacaccaccbbbcbcbbbcabbcbbabbcacabbabbacacccbbcbbbbaaababacabbcabcacbacaacbbcbabcbabbbcbabcacbabbaacacbbccbcbccaabbaabaccbabacccbacabacacabccaabbcabcbbcccaababbaabbabccbbabacaaaacaaabccbbbcabcbaabaccbaccbccabaacaacacbcccccaaccbacaabacacccacbabcaccbbbbbccbcbbcccbbccccaaacccbbbbaaccbbaacacbaabcbbccccbabbcaaacacbabaccabbbaabcabcabccbbccbbbbbbbcbaacaabaacbbabaabaaacacaababbbcaaacacacabcbbabcbaaaaccabcccbaabcabaabccbcbbbabababbccabaaaaccbbcbcacbacbcabaabbbcbcbcbcbabbabcabcacaababbacabbbacbacbcacccbabcbbaabcbbbabcaccbcbaabcaccccbbaabbbcabaabcbbbccaacaccbccbcccbcaababcbbcaaabbbacccabcbacaacaaccbaabbccaaaacbbbacbaabbcccabaabaabbacababbbbbbbccabcbbaaaabaccbbbbbabcabccacabaaccbcbaabaaabbacbbcccaccccbbccbacacbbbcbbcccbbbaaccbcbbbbbbacbacbbacbbcccaccbbbbabbbacccbbaabbacbacabbbcaaccbaacabcbbbabbbbcabccbcaabaacabccbcbbbbababbcbaccbabbbbbbacccbccabccbabccbaccccbbbcbbccbcaabcbaaabcacbcabaccabcccbbcabbbacbabbbcaccaaabacccaabbabbacccbbbabcbaacababaabaacbcbbaccacaaabbcbbcabaabcbaaaabbbbcbbcbcccaaabcbbbcaabcacccbabaacacbcababababacbcbcaaaaacccabaacabbcbbcaccbaccbaacaccacaaccaabaacaccacaabbababbcbacbccbabcaaccaacacbaaaacbaabaabcbccccabcbbcbbbccabccabccabaaaacaccbcabbcbbbccccccccaaccaabccbbcbbaaaaccaabcaacbaabacbbcabaabbbaacbbaacbcccbabcbcbacbbcaaacaaaabccaaaacabcbabcbaacacacbbacaacbbbabcbcbbcaccbcccbaabbcacabccaabcaccbabccaaabbacbbccccacbcabbcbccccbbbbbaabaacacacbcaaacacabcbaccaaaabcbcbbaccbbacccbbbcaaaccaabbaacbaccaacbbcbbbccbaaabaaccbabaaacacbbacbaabcbacacaccbcaaccabbcbbcaaaaaccbaccaccaaacaaccabacccabbbabacbaabcaaacabaabcbcbcccccabbbaababacbcabbaaccbacaaacacacacbaabcabccccabbccbcbccbcbcccbcbbccbcbcabbabbcaaacbccbabccabccabaccaabcbabbccbcccbbbbbbcacbbbabcaaacaabacabcbbbcbccabacabcbbcccacabcacccbbbaabcacbacbbbaccbabccaaccaaaaacacbaccccbabacaccbbacabaabacbbabcabccbacabaccbaacbaacabbccbacaabaccbcccacbcacaabaabcccabbaaacacbcccacaaccbbbbccbabcaaaaacbacccbabacabcaccaccacbaabbcbabcaaacacacacbbabacbbbcbbcccccbacbaccccbcabcacaaaccbabaacabacbbaabbbcaabcabcacccaccaaccbbcaabacbbacbabbcbccbbbaacaaacbacabaccccbcacbbbbaaccbaabccbbcbbabaabaaacbbacbccbbacacaacccccccaaccacabacabaccccbcccbbaacbacbbabbaaaccccacbbacacabbbcbaabcaacabbbbbcaabbbbbcacaccbbbccaacacaacbbcbbacbbacaabbccaabbbcaacaabbacaccacccbcaccbabaabbcabbcbababacaaaaabaaccacbaaacbabbcccaacaccabbacccbaccabcaccaabbbbbcbccbcbbababcaacbbaaccccaababccccbabcacabcaaababbaacaacabbcbbcababaacaaacbbbccacbcaaaccccccaabcaaabcbcbcbabbccababcbccabaaabbabaaaabcabbbbaabbbbbcccbbacabbccacaaaaaabbcbcaabcabbbbccbccccbccbcccaabbcabcacbbabacaababaccccaabcbbccacbcabbaaccaaabbacbcbaaaacacbabbbacbcabbcaababbaacbacabbaaaaacabccbcbaaabaabaaabbccabcabbccbbaccbacabbbaabbbaacbbcabbcaccabccacabbcbbcbacaacbabccbaaccbcbcacccbbccccccbbaccabacbbbbcbbbcbaacccacccaaacbcacbabacaacababcacbbcbbbcacccbaaabbcbabccbbccacbbccbaaacbbbbbcbbbaaccabbcccccabbacabbacbcabcbcccabcccbccbaacacbbacababccbccbaaaaccbbabacbcbbabbabaabbbcbcbccbaabbbcccccbbccabacbcccabccaabccbaccbbcccccbbbbbaabacbcabcacbcccacabcbaccbcbaaabccacbcbacccacaaabccaccabaabbccccbbcaaaacaccccabbabaabbcacaccbbaacaaccbcbccbccbcababbcabbabbbacbaaabbababbccaabbababaaaccbcbcacbbcbcaabbaccbbabacccabaaaabacacccbbcaaccbbbacbabcccabbcbcaccbbcbcbccbabacaaabaaaabaaaabcacbbcabccbcccaccabbbbccaaaabcaababcaccbcabccbaabbccacccccbaababcbababbbcbbccbbcbabaccccbacacacbccbccabaabacabcacbbcbaaacccbcabcbcaacbbcabaabbbcbacaacbabbbaaccacbababccbaccccabbcacbcbcacbcbcbbcabbaaacabacaaaabaaaabacbbccccccabbaccccbabcaccacabacaaabbccacabbcbaacbcbaacccabcacacbcabcbcbbcabcbccabcaaabcaccbbaccacabbabaccaacaccaacbbcbabacccacacaabbbaccccabcaacbbbcbcabcbbaccbcbacacabcbaaababbbbababbaabacabccacccbcaacabacaccaccacbbccbaacbbcbcabcacabaacabbabacacbbccaaabacbbcaccbbaaaabaaccccabbabacbcabbbcbabababaabccacbcbbcbbbcacaabbbacbccaccbcbbbaaccaaacbabcabbccbccaccbabbbcabbccacababcaacbcbbacabcaccccccaaacacbcccbcbacabbcaccbbbbbacaabbbcaabcbcabbbaacaabacacbbabaaabcbabcacabacbbccacaaaaccaccbababbbaacacababaaaaababaacbccabccccacaaababcababccaabaabbcbbabaccacabacbbbcccbbbbcccbaaabcbbaacbbaccbcbbccbcacaabaabbaababbbbcbacbacbbcccbbbcbacabcaabacbccacaaaaaccccabcbaaacbcacabbcaabbbbcbacaccbcbaccbcbcaacaaabbcccaacababacbbabcbccbabcbcbabbccbcbbccbbcabccbaaccbbabbabcbababccccccbbacbacbbabaaaaaabcabacbbcaccccbaacaaacbbcbcbbcaaabbcabcbcbbbbabaacbbcabacbaabaccacaaacbabbcaccbbcbcbaacbbccaccabbcabaabccbccaacaaaccccaacbabbbbbccababbacaabacaaccaacccbacabcbbcaabbaacbaaabacccaabccababcbbccaacccacbbacbbcbabaccbaababbbbaaccbbccbaabbcbcacbabaccbabacccbbababcbbbcaacacbbabbacabccbccaaabaabcccaaacacaabbcbcbbcacabaabcbaabbbbacaacaaabbcccbbbcacabcccbcbcaaabbcaaabcabcbababbcabcaabbacaacbbccbacaacccbccbbccaacccccaccacacabccccbbccbbbacaccbbaabaababbabbabccaabaaababaacaabbbabababbccaccbbacacbcacbcbaaaabacabbbbaacbcabaabcbcabcbcbccabbbccbcababbccacbbccabbabcbcaaccabbacbbbcabbcccabcaaaccabcaccaaaabcaacbabbcbabbbacaaabaabacbcaababbacaabbcbccaacacbcabccaaabbaabbcabbaaccccaaabcbbccbbacbbbbcbbcbaacacccacbbaccbcccacccbbbacabacaacbcbbacabcaccbcbccaacbcacbabbcbbbacbbbcbccaccbacabcaacaacaccccbbccaaacaccbaabacccaacccaaaaccbcaaaabccbacccacbbcbcaababccbbabababccccccbbccccabbbccabacbabbacbbccccbcacccbabccbbcbbaacbccaccbbcacbcbbcabaaabcbababacabbabbacbbbcaccabcacbcacabccbacacacbcbcacbbaaccccbcabbbcccaabccacbaccbbbabcccaabacaacbaaabcccccaabbbcabcaababcbaacbbacbcbbbaaaaccbbcaacabcbcbbbcbaacabccbaacabcbcabaacbabbaaaaabcabcbaccccaacbbbbabacccbcabbbbcccbaacbbccabaabbccbccbbcbacbcbaaacbcaccccbbbbcbcbbaacaacacaaacbbaaabbcbaaabcacbaabcabbabbabacacbaaabcbacbccacbccbcaabaaccbcacbcccbcabacacccaababccbaaaaccacbcbbccaabaabbaaabcbaccccbcbaccbabbbacbaaabbaccbaabbbacaaacaacaaababbabbccbcbcccccbbbaccbbaabaccabaaccacacccbcccaacbcaccbcbaacaccbbacaabbbabccbbbccccaabbaccabccaaacacbcbcaaccaacabbccbbaccababcbaccbcaacaccacabcbbccbabbabacacbbbccbbbcbbbbcbbbccbbabacbccbbbccbabacabcabbccbabbaccbacaabccbbcacbbbccabbccababbacbcabbababbbabcacbcbbbabaaabacaccccacacbbcabacbbbcaaabbabcaaccacccaaaaacbaaacccbbcaabacaacccabcbbbcacbbbcbaacccccabcbaaaccaaabbcbabaacbabcbaabbcbbabababccccbacccabccbabababaaacaabcbbacbcbaabacbbabababbaacacbbbaabcbaababbbacccccacacaccacacbaababbbccbbacccabcaaccbccaccabcaaaccbcbabbaabcbcbcacbcabaacacbcbcabcccbbacaacaaaabcaacacccabbaacacccccbbacacacbcacaccaccbcaaabcaabccccabbbcbabbbaccabcacaaabacbabbaaacbbaaacacbbcbcbbbaccbacbbcacbbcbbccbaaaaccacaccccbcbcccbacccabccccbcababcacacccaaaacabababaaccabbacbaabacacbbcbbbcbbbbcabbcacabcabaaababbbcaaacbcabcaabbbbcabcaaccbcbbabcacccaabcccaaccacbccaacbaaaacabccbbbacbabbbccacccabacbcccccccaacababcbbbbbabbbaccbbcaaabacccaacbcbaacaaabbcbcbccabbcbcccabbabcacbaababaaccbcbbbbcbaacaabcaaaabbcbbbbbbcbabacbcaacbbcabaccaabacaccacaabcbcaabbbcbbacabbacbcbaababcabccbbbaacbcabbcccacabacccbaababcabcaaacbaabbcabbacbcbbacaccccbcabbbaabbaabacbbbbbcccbbcccbbbbbaccccbccccabcccacbbbcbbabbccaaaabaaaaabccccacaaacbacccababcbccabacccbccbcabccabcaccbbbbccbbcccbabcbbaccbbaabcccbcbbbacababacacabcacccacbacacabaaccabccaaabaccbabcccbaaccbbcbabbbacbbaccacaacccbccabacbccbbcabacaabcaabbcaabbccbbcabbbabccbbaaaccccbcabaaccbacabcccabcabacacbbacaabcabaacbbcbcbbbcaabcbabaaaaaacbccbccacbacbcaababccacbccabbcbacaaccacbcababbaaaacacccabcbacaabaccbaaccbbabcbcbabcacaaaabbcaacabacbbabaabbcabaccaaaacbcaabacaaccbcccbbabcbccbcaccbbcaccaaacaaabaabaaacabcbcccacbaababccabbbbbaabcacbbbaaabacacacacaacaacbaabbcbcabbaabaaaabaacbccbbcbbbbcbbabacbbbabbacbccbabbaccabaabbaaaacbbbcaabcbaabccccabcbabbccabcacccbaaaababbbcbbcbccbaccaaaaaacbbcbccbabbbcabbacaaaccabcbbaabccbaccaaccbbaacbabbcbcabacaabbbcabbccacabcaccbbabaaaacacbcacbaaacbbbcbaaabbaacccacabbbcbbcccaccbbaaaabcccbccbbbaacaabbbcaaacbbcccbabbbbbbbccccacbcacacaaaccbbaacaacaaaaaabbabbbbaccbabbaccbbcbccbaccbbaabbccaccaccaaaacacccacaacbcccacababbaaacaaaabcabccbccbcaaabccbabcbabbaccccacabccababbcbcabcccbacabbacabbababaccbbaabbcabbccbcacabbabccabbcaaacbabacacbbacacbabbbcbcbacaccbacabbcbcccabacccababbabcbabbcabaaaababbabccbccccccaacacaccccbbcbacbbcacbcabcbbbcbbabbbcaabaacbabaaccbababaccabaababbcbaaabbbbcabcbabcbbccccbcababbacaccaaccbacbbccbcbaccbcbbccaabbaabbbacacbccbacabcaccacbbaacccccbcbccaaccbaacbaacbabccaabacacccacccaacbacabbababaabcccbccacbabbbcbccbcabbaaacacaccbcbbcbccaabbbacbbaabcbacccacbaacbcbaaccbacbbaacbbaabbaccabcbcabcbaccaacabbbccacaacbbcbbbabcbbbbcababcbbcccbbabbbbabbcbaaabbabccbaacbcacbbbbbabcbabcacbcabccbbbbaabaaccbbcaacacbaaabacbbaaabcababbaacacbbbcacbaaccaccccbbabbccaaccbcaacccbbabacccbccabbababaaaaabacbababbaaabcbcccbbbcaabccbccccbbabbbacbbccacaacabaaccacbccaaabacbccbbaabababcbabccaacccccccbbabcbbbacbcbbbbacaaabbacbacbcbabcbccaabcabcbcbbbbabcababaabacbbbcabaccababbacbccabaabaccaaacbaaccacacabbaabaaaacccccbccbcaaaccbacbcbaabacbcaacabccaabcbacbccaccabbacaabbcabacaccabacbabbcbabaccbaccbacaababbccbbcccaacaccbccbcbabaabccabbbacbabcbabcacacbcbccacbacbabccbbabbbccbbbcabaacbcaccaabcbcacbbccaaabcacaaabbcabbcbbabacaccacbbaacbbaccaaababaccbabaabbbacbbaacacbcaaaacabcabbbcbaccaabcccababaabbabacaaababbbbcaaabaabcbacbbacbbbbabbbaccacbbcbacacabcbccbaacacccccaaabcbacaabcbcbbccccbbbbbaaaabcccbabbabacbccbcbcaaccbcbccbcbaacabccbccaabccbcbbacbabbaccbabbcabbbbbaaaaacababcbacacbcbcaaaccbbbbcacbcbbaabccacaabbbbacbcabcbaabcbbcababacaaaacaacbcaaccbcabccbbabbaabccbabccbababbcaacabcbbaccbcccbcabbbcaaccbccbbbabbcbababccbbaacbcabaabcccabbcaccacacaacbacaaaaaabcbbbccbccaccaccabbcbcbacbcbaabcabcccbcaccabbacbbbbaaacccbbbaaaccbaababcabcaabaccccbabaaaacbaabaabababbaabcaccbcbccabbbbabcbcbcaccbcacaaaccccbbbaccbabbccaabaaaabaccacbacacaccbbbaccbcacbcbaccbacbccbccbbbacbbbbacbaacbcccabcbbccbcaaacbbaaaaaaccabcbacbcaaccbacaacababbaabaabacbccccbbbcacacaaccabbccacaababbbcaaaacbccbbbabccaacacbbcaacacccbbcaabacabcbbaaacacaacacbccaaaacacacbbcbbaabcbcccacaabcabbaccabacaccaccabcabbccbcbaaacaaccaacbaaaacabaabbccbbbccbbaccbcaaabbbccabbccabbbcacbcaabaacacababcbaacaabbabbcaacaaccbacaaabaaaaccbaacbaaabbabbbacaccbbbaacccacccbccccbbbccabaacbbbbbaabcabbcaabbbbbcaacbccaabaaacbccbbbccbcbaaacacbaaaccaccbccbaabcbbacccbaaacccbacbbabaabcacaaccaabbbcaaabcbccbbacabacabbcccabcaaabbbbaabccccaacbbcbcccbaccbacaccabbccaccaaabcabbaabaabbbaabaccabcccbabbabcbcccaacaabcccbcbbabbbccbccababbcaababababcbabaaababacbabccbcbccbaacbccaababccbccbcbcbcbacccaaabacabaacbcbcbcabcbcbcbccbaababbaaccbbcbaaabbaccaaccbaababcabcbacbabbbcccbccbbacbabcabcbcaacbcabaaaaccaaabcabcacbcbacccaacacbabcbbbacabbcabbcbaaabbbccbabaccbbaaccccbaacaabbbcccbccabcaabbaabbcbccbaaacccbcbaaaacbccbbccabacacacbaaaacbababcabbbbaaaccccaccaacccbbcaabcabcbcaccbccacbaabbbaacccaaccbbcacacbaaabbacabaccbacacabbaccbcaaaabbbcabcbaacccbcccabaabbbbcacccacbbcbccbabccaababacacabcbabbcccccbbbbbbbcbaccaaaaabcaacabccacabcbbccacaabbaaccbcbbaabbacbcccacaabacabaabaccaacabacacaacbbbbacabacacbcbcccbcababaacacbbabbbccbbaccccbccbbaccaabccaabacaaacbacccbaabaabcccbbbbbbacaababcbcbcccbaaccaabbcabaccabbaabcbaaccabcabccabbacbacacabacbcccbcbaccbcabbabccbabababcbabbabcbabacaababbbcbcccacbabbbbbccaaccacbbabaaccbaacbbbcbccabcbbbcbaacaabccbccbbcaccaaacabaacbbbaccbaccabcbcccaaaccbccbccabccbbcbabaacbbcbccaacabccbcbabbabcccbacccabacccacbbabaccaaccbbcbbcabbccacbaccccbcbbbbccbbcbcbbbcaabcbaaabcacacaacbbabcacaacccbabccbbccbaccaabbacbcacbaababcbacbbacabccacacccacabaccbabbabcbcaacbabcbbbabcbcbabaabcbcbccccaaaacbabbccacbacbacbccbbcbacaacbabcbbaabccccccacaaaaacabcaaaaaccacabaaaacbbbbbacacbcbbacabcbbbcaabbcaccccaacaabccaacaacacbcabccabccaccbbaabacababcbbacbccbaabcaccacbbacccacacccbbcabcaaaaabaccbcaacaabbcaaaabbccaaacccccbcaacccbabcaacbacaaaaabbabbccaccbbbabcacbabacababbaaccbcbbabbbacbacaacaabbacccaabacbbbbacccbcbaaabbabacaaccbaaacbcacaacbbabcbbcbcaababacbcbbaabbabaacbaaacbbbcbccbbbcccacacabbacbaacbbbaaabcabcccccbccbccaabaaccacbbabbcbbbcaaacbccbaabbbcabcbbccaabcbbccbccaacbcbcacabbacbccccaabccacabcbbbcccabbacaacacccacabaaaaaaabcacbcbacaaabaaabbcbabcbbcbcabbbbcbbacababaccbcbbacaacbbacacabbbabcabbbccaaccacbbabaabbbcbbabbbaaabcabbbacbccbbaaacbccbacbaccccbaaaababccabccacaacaabbbabcabacbccabbbcbaccbcacbabbbbacacbabcbcaaccccbbcbcaccabccaaaacaaababbbbababbccbabbcbcaaccacbbcaababcacabaaabbccbbabcacbcbcaabbccacabbbcbaacacabaaabbbcbbbcababbbcabacacaabacabcbbccbcccbabccbabccbcbbbccccaabbbaacbcbbcbbabcaccbbcacabbabaccbccbcacbccaabbaaacbbccbcaabaccccbbcbaccaabbabccacacbbcaababaaccbcaccabbbbbbaacaacbaabbacbbcbbcabacabcacaccaabcababcbacbcacbbcaaabbbabaccbacabacbbcbcbccbcabbacbcbacabbaacabccbbbcbcaacbbcbbcbbabbcaaacbbbbbbbaccbbaccccaababcaababaabcacccbacbaacbacabcbbbbbaaabacaaaaaacaaabccacbbcacabababbaabababccccabbaacacbccaacccbcacaaccaabcbaccacaacbbabbbccabaaacbbacabcbacbaabcacacbbcaccaaacccccaabcbacbbcabcbccbabccbcccccbccaaaabcbcacbcbbbcbabbcacaabcacbbbabbcccccbbbbaccaccccaaaacccabcbcbbcabccbabcbcaacccbcbbcbbbbabbbbcababbacaaabbaacbbccbabccaabccbbcccabccacabcbcaccccbaccaacababccbcbacbabaaaacaaabbacbbbaaabcacbcaaabbbccbbccaaaabcabcccccaaaccaaaaaccaaaaababacbccbcbbabcaccabbbbbbcbbaabbaaaabcbabbcababcacacababbccaaaacacbccabcaaccccacaccccbacbcbabbabbbbaabcbccbaabaaababbccbbcbacbbcacbccabccbbabaaaabacabaaacacbabcbbacbbccbbccaababbbacaccabbcbcacacaccccbcccbcccbaaaabaaccbbbaaaccacbcbccaabcaaaaabbbcaabaaaccbbaccacbcaaacabbcbbbcbaaccacaabaaccabcccabcbacbcacbcabcbbcbcabbbacccbbbbbaaabaabbaabacaccaabbacabccabbbccbccbbbcaacacbbcccbbaacabcbcbabcbcaacbccacababcbabbacbbaacabbabaacccaacbabaababccacbabaabccccaabbcababccbccbaacbabaaaccbcabccabbcbaccbbbaabcbcbcbbababcbcccaaaabcabbbababcbcbaccaacabccbbbacaccabbbbcbbcbbabccbccaaccacbccbaaabbbbaaaaccaaaccbaababaabaaaabcbbababcbaccaacaabacccaacbbccaacbaaaacbbacabbbabcbcaabcaaccaacbbcaaaccacbcaabccbcaaaccbbcaabbaaccaccabacaccccaaacbbcaaacccabacabacabbabcbbbcaaccaabcccccaacbcccaacccccacbaccaababccabcbbcbbccbcbbcacaaaabaabaacccaaccacabababcbacbabcbbbccccabbcacbcaaabbbabccaccbbacacacbccacccbabbacaaabcbabbabcbcaacbbabbbcbaccabaaabacacaabcaabaaabbbccbbcbbcccabcbbcbcacacaccacabbcccbbaacababbbaccacbccccabacbccaacbabcccaabacbacaccaabcbacbabcbccaabbcabcbbaaaaacabaaacbcabaacabcbababaacbaabaccbaaabbbabbbbccabbaccbbbbccccabccbabccabcaccccbbcabbcccaaccaacbacbacccbabcbcaaccacccacbaccbcacabcbbaaaabbbccabaccaacacbbcbccacbbccbbaaccbacccbccabbaacccaaabcaacbaababccaacccababbbcccaccccabbbbbbcbccaabababacbcbacbbcccbababccacccbcaacbabaccaccaacccccaaaabccbccccbcabacbbaaacccbaabaacccaacbcabccacbcccccbbccacacbbaacbaacacbabcacbcabccabcbbbcaabcacbcacaaaaccabbaacbcabbaaabcbcccbccccbbabaccacbcaacabbacaaaacbbccccbaacccaccbcaaaabbbcbbaabccbbacaccabbbbabacacccaaacacaacbbabaacacccbabbcacbbbacbaaabcbcbabacacbcccccccbabcbcacbccbbccbabcaccbabacbccbbaaabbaacccbccaacbcaccbaaacabaabcbaccccbaabbabbcaaacaaabaabaabcacbabaccaabbbcccbcabccbccccbcaaaaaaacbbabbaaacccbabaaaaaccccabcacbcacaaaacaabbaacbcaacccccabacbaccbcaccaccbaacbbcbbaccccacabccacaacabcccbcbbacbacbccbbbbaaaabccacacbabbbbcaabccccacccacabcbcabbcbacaababbabcbccbbbbbcbaccbccbbabcaaaabacaaabcccaacbbacaaabbabaccaccbabbcccbbbcbcbabbcaabbabaabaaaacaccabaaaaacabcaacbbabacccaccbabaacaababcbaabbbcaabbaabbccbbbcacaccbaacccbabbcabababcababacccbacacaccbcaaabaacaccaaaacbbabcbacbaabaabbbaaaabcabaacaabbacabacacaababbacaabcbbcabbbbbabcbcbabcacbcbbcbaaaaabbaaacabaacbbaabbbcaaaaccaacaaabababaaacbbcacbaacccccacbaabcbbcabbcabbcbaacbcbaaabbabaaabaccacbaaacbcabacaccaaabbccaccbbcbbbbccbcabbacbacbcbbbccbbcccbacbacbacacabacaccccccccccbaaccacbcaabacbbcbcbbcbbccbbccacbbbcaccabbccaacabbabcaaabacbcaaacbababcbcacbcbccacbbcabbbabbcabbaacacbaccccabaacabccaacccbaabaacaaaababbbacacbacaccacaccababcacbbcabccaccbbcbbccaaabcbbcacbaabcbabbbccbbcbbcabacbaaaaccccacaabcabaabcababaaacabccacababbaaccaaacabbabababbcabcacaaacbbaacccbbcbcbbabacccbaccacbbaacccacaacbbbbcababbabccbbcbaabcbcccacbbacabbcabcbacbaacbbbbcacbacaabacaabcbacbaacacacbbbaabbccaaacccaccaaabbcacbacaabbcbbbbaabbbccbaacccbbabaccacaaacccbbbbccacccabccaabbbbbcaccbbbbaababcbcccaabbcabccbcbccccbcbbbaccbbbbcaacbcbbbbcbcacbcbcabbabccbaabccccccabcacbabaaccbccbcbccaacabbbcabaccccabaaabcaacbbcacbbacbbababbababbccaaaabbabaaacabbababbcaaaccccccbcbabacbcbbabbbaaaacbbbcacacbbbcbababacabacbbcbbbacbbacbbcbacacababcbabbcbaacaabccbcbbcabbaacbbcccccacbcabcaacbbcbbcaabbabacabbccbaaccacaababbbbacbcccccccbbcaccacabcacaaccbbcabacccbcabcbbccabbacbcccbabbcccaaacbbcabcbaaaccbbbbcccaaaaacababaccabbbaababbbbbcaaccaccaacabaaccacccabaccbcacbbbccbbaabbccabacbcacabcbacaaabcabcccccaaaabcacbbabaabaababcacabbbcbaabccbccaaacabcaaaacbcabbbaaccccabbbaabbcacbabbcbccaabaacabbbacccaaaaacbabbcaacbcbcccaaacbbccbcbccbcaaacabcabbaaacbccbbccbbbccabbabcabbcbaccbcbaacbbcbbbcbbcbcccaacccaccbcccaaacacbaacaabcbccabbaccaaabccbacbbaacbbacacbbcabaabbaaaacaacbccaacbabbbbabcabbacaacbabcbacbaaaabbabbcaaaccbccabaacabaaabbcaccbbccacbaaaaaabacabcbacababbacccbbacccbbccbbbacaaccccbbcbbcbbaaaacccaaabcaaaaaacccccabbaaccaaabacbbbacacabaccccbaababcababcbbcbbaacbcabacbacbcabbaccccabcbbabccacaccaabacbabcbaacaabcccbcbaaccbccacccabcbbabccabacaaaacbbcbcabbcacccabcaaacbcbacbaababcbaabbcbaccbaacaaaacbaaaabcccacabbbabbaabbbbcccabaaabacbaacacbaccbbbcbbaaaabbababacbcbbcbaabbacbbcaaccaaabbbbaacccccaacbcabbbbaabbaacccabacbaacbbbbbacaaaaaaabbcaccbabbcbcaabcbcbbbcbbcbcaccaabbacbccccbacbcbaaacbbcaccbccbbabbcacaacacbaacabacbabbcaaccbaaaccccbbaaaccacabbbbacbbacabbcbbacaacabbbabbabbbbccaccccbbbcaccabbcbbabccbcccbbaaaacccaaababcbbbacbabccbbabccabaaacaaacacbacbaabaaacbcbccbcaaaaaccaacababcbbccccabbbbcaabcacacabbccaaabbabbcbbababbabababacbccaabccbbbbcabbbaaaacabccccacabbccbcbcbccabbbabcabaabbabbbcccbacacbbabaabacacbabcacabcacaaccccbccbccaaabcbbbbbcccbacbaacabcbaabcacbabbbbbabbacbbcacbcacaacabcccabaccabcaacccbbbaabaaccbcaabcbcacabaaabcbcbcaaccbbcaaaaaacbaccbbbccaacbacacbcbcbbbbcbabccbcbbbbcccabbacbacccbcccbbcccaaabbabaccabcaccccbaccbaacbcbbcabacccabcbaaabccccbcaacbbbaaaaabbaaaaaacbabbbcccacccbaaabbacbaacbbacabbacaccabaacacacbcbccaccbacbaabbabaacabbbbcaabbbcbaacccbbbcbbbcaccbbbcbaabaabaacababababacabcaacbcaaacbcabcabaabbacccbacacabacbccaccacabccacbcabbaaaacacbaccbcacaabbabccabbcbcbcacbbaabacccbcacbaccbbbacaccbacbacababbcbbaabbbccbbbbacabccbbcabaccabbaacabacbbbababaaacbaacabcacabbcbacaabbabcaacbcbcaaccbccaacacabaabacbbcacbccabbaccbbbbcaacbbaaacaacccabccbabcbabbacbabcacbccabbcbacbbabbcbbabbaccabbabcbaacbbaccbcabcacabaabbbcbcbabcacbcbbaccbccbbaabbbabbccaaababcbabbbbbbbaaabbcbabcaacbaacabaaabaabbccbccbbbbbbbbabcccccbbcaacaabcaacbbbbcaacacaccabbbcbcbcaccbcbcbaccbbaaccaaacabcccabcbaabbacbbcacbabcbaccaacaaaacbcabccbacacbabbbbaacaabaabacbbbabbcbbaabbababbababcccaabcaacbabccccaccacacbbbbcacaabacbcacccbaccccbabcbbbcaabacabcabbbaccacaabccabbcacaacbaaccbbacaabcbbcacbbcaacbacacaaaaaccbaccaccababbcacaacaabaaabaccbbbccbababbbbbaabcbcbcccabbbbbaacbbbbbcbacbcaababbcccbccbcaaabccacbbcbaabaccabaacbabbcbbbbbaacaaaaacaaabaacbaabaacaaaaacacccbacbbcbbcccbaaaaccbcccccaaaabaabccbbaaccbaccaccabaaaccacaacbbccaccbcaaccbaaabbaacccccbacbcacaacbcabaacbcabacabbbcabcbabbbabcbbbaacacbaabcbcaaaccccbbbbcbacababacacbaabacbbbccbacbbaccccbcbcacccabbbacaabcbcccccccabcbbbcbaccacbbaabaccbcabbbcbbcaaabccbacccacbabccbacbabaabbabcabaaacccbbbbcbccabaccccaaaaccacccbcabbbbbbcbcaaabccacbabaacacbcabcacccabbcacbabacacabababaccbbcacabccccbbbbabaabbcaccacacababaaabcbbabacaababacccbbaacbaaccaabbabccaccbacabbabcabbbaaacbccaccbaccbcbacbccbbcbcbacbbaacbaacacbbbcbbacbbaabaaacabccabcacaabcbaabbbcaaabbacbcbbbccccbbccaacbbaabacacacbbacbaabacbaaabcabaaabbcbabacaabbccccbbbcbabacbabcabcacbaaaaabbbccccccacbabcbcabcbbbaabaabbcbccaabbccccccaccaccbaacacabccaaabcbaaacbbbcbbaaccacaacabccabbbabcbcccacaaabbabbcacbbcaaaacbcccbbccbabcaaabbccbaababaacabaabccaccccbcccabbbababcabbbbcbccaabcbbcabbcbacbaabcbacacacbcbaaccaabbbcbaacccbbacbbcbabcabbbaabacbbabbbbaacabcacacbaabccbaccabacacccbbaacacaacbcababbbccabbabccbbabcbbcabacbcbabcbcbabbbcccacaaccccacacbbbbaaccbacbbbbacbabbbbccacccacccbbccbbaabccbbbcbbaabbacaaacabacbabbcaaaaabbacbcabbcacacaaaccacbacbaacccbacbccaacbaaccbbbacaacabaabbbbccbbcabaaacbabbbacbbbabccaabbccaacbbcccccaacbabaacaaaaabaacaaacabbbbcabbcccccbbccbcaabcbaabaacabcacabcacabbcbabccbbcabbbcabbbccacaccbabbccbaaababccccaccacbbbcbacbcaccbbababacbabbccaaacbabacaacaaabbbbcaccbbaccbacabcaacbccbbabaaaaaccbbbbcccaccbabcabaabbacaccccbcacacccaababcbcaabacaaccaabbaaabcccbccaaacabccbaaabbbaaabccabaaacccabacaababcaaababcbabcacabbbcbcbccabbacbcaaacbabbacaacbaccbabacabcaaaabacccbccbcabaccabcaaacaacabccbccbabacaccbabaaababaccacabaacbcbaaabcbcabcbcacbaaccbbbcccbacbabcaaaaabcabaaabbaaaacabcaaaabbbbcaccccacbbcaaccaccccbaaacbcabbbbbcaacbcbacaabbbcabbbaacabbcabaabcbabbaabccacbacbcbccaaabacababababcacbababcbabacccbcbbbaacbaabacacacbaacbcbbacabcbbbabbbcaccabcaccbccaacbcbabccbcaabaaabccacaccaaabbcbcaaabcccbccbcacbcbccbbaabaababaacbbcbbacbaccbabbccaabbaccabacacacaacbcbcbbaaaacbbacbabcacabaacaabaacacabcacaacaababaacacbcbbcabbcbaccccbcbbcaabcbcabcaccabccaacccacbbcaccbabccabccaccccacaccbccbaaabcbbacaccacbacbbacbcaacbaabacbaaacababbcbacbcbbbbbcccabcbacaabbcabbabacbcbabbababbcbccbaabbacbcabcbbbcaabcbcabbcacaaccccabbbbacabcbbbacbabaacbabcaacbbbaababbbaaaaccabbabaacabaabbcbcccbacbaccbaabcabaacaaaaaaabaabbaccabbacabacabbaacabbabbcabaaacacbaccaabbbbababcccbcacbcaaaaabcababccbbcccabcbcbcccccabbbacabcbbbcbbaabbccabacccbaaaabbaacabcacabbaabbabbbcccbabbccababbacccabbacaccbccabcbcacabcbabbcabcbbaabbbbaaabccbabcccbccbaaabcaabcabaabccbcabaacbabbcccbbbbcccbbbcabccacbccaabacaabacaabacabacbaababaaccaccbcabacbabbaaabbbcaacbbaacaccbbaacbbcabacccaccbaccacccaccaacacbbbaacccccccaaccabbaabcabaacaaccccccccbaacaacaababbacacaaacaacbbccccabacccbabbbabcaacacababbbcbabacacaccaabbbbcacaabacbbbacbcbbabcbccbcabcabbaaaababaaababcabbacacbaccbbbbacacbcbcbabaaccccbccacacacbbcbcbbbabcaabbbabbabbaaacbccbaaccaccbbbaacbacbcbaaccbcbabcbcbaacbccbababcccaabbbabbbbcccccbcbcccccacacbccaccaabaacaabbacabbbcbcbabaaccbaaacaccbbbbbababcbcacccbacaabbbcbbaaccccbbaacaccacacbaacbcbcbaaabcbcbbcacbcbcbbcbbbbbccbcbcbacaccbaaabcbcaaccccabaabbcaabbabcbcabbbaacabbcbccaaccccccbbaaabbcaababccbbabacbcaabbbacabbcbacbbaacbaabbabbcababcabbacbaacbbacabbbbbbabbaabacbbccbabbccbabbabacaaccbccbccbbbbaccccccacbaacbabbacbbbaaabbbabbaababaaacaaccaacaabcaccbbbaacbaaabcbacaacbabccbccbccacbaccbacbabcabbccacaaaabacaacbccbcaaabcbcbaabbbacacbabcbaabcaccbcbaabcacaaaaacababbcbccbbacacccaacbbbbbbcabcaaaababccaccccbbbaacabcabbbaacccacbabcacbbbcccacabaaaacccbccbabbaaacbacbcaccacbabbbaaaaabacbccbaabcbcaaccbbabcbcbbcbcaabbabbabbabbbbaccbccbcabaaabbababbbbacbbbbaacacabababaccaabcbbbbbbabccccaabaabcaccacbccaaaccbaabbcbacacbbcacbcacabcacbcbccaaabcbaaabaaacabbcbbaabbbabcacacbbbaacbccbcbbacacbacacbbcbbacaabbcbccbbcaaaabcbabbacacacaabcacaaaabccabbbaacbabccaabccacbbbbbabaabacacbababacbaaaacccbccbbcbbaababbacbabbccbbcababbcbbacccbbacbcbabbccccbaabcaccbbbbbaacacabaacaaabccbbcbaaccaabccabababbbcaccacaabcbcbaabcbaabacbcbbcaacaccacaababcbbbabcbaaccaacacbbabbcbbacbbacabacbbaccbbcabaccaabcacaacbbabacbbaabbabaabbaaaaccabcbaacabbbacbbcaabaacaaabbbbbbbccbbaababbcbbcbcabcaacacbbcaaacababaaacaccccbacaaaacacbcaaaccbbbacccbbacbabbbcbccbaabbcbbcbacabaabaaccbbbcacbbacbbaacbabaccacccccbbbcababbbccabaabccabcabbcbacacccccacbbcbccaabbbccbcacaabccbacaccaabababbbcbbbacbabaaacabbbbcccabaabbabcaacbccabbbacaccccbbbbcbcabcaaaccbcccbcbacbbcccbbccccacbcabcabbcacaabaabbacccacaabccbaacbbacbbbbcbcccaaaabcccabaabbcaaccaaaccabaccacacabacacabcabcbbbabcabaccbbccbbabcccbcccbabbabcbbcabccababccbbccacbbbcbccaaaacacaabbcbacccccaccacccbabbcaabcbcaccbcacacccbbbbcbabaacbacbbccbbacaccbbbacbcabcbabaabbcaaababbcbccacaabccbcbabbccbccaacbbccabccbacacaacbaabaccaabcbcbcaabaacaabbbbccccacbbabcbcbabbbbaaaccccccbbabcbcbacccacbbabccccbabbabbacaaaaaaacaabbacbbccaabbbacbbcababbaabbabbbcbabbacbbcbabcabbaacacabbcabbabbabbbabcbccbbbaaacaaabacabccaccbaccbacccbbbcbabbacbaabccacbcbccccacbacbababcbbabbababaaaabbcccbbbccbcbabbcaabbaabcbcbabaabacabacbcbcaacccabbabbbcacabcccaacaacababbcccabcbaabbacbacccaabccacbacababacbbaabaaacbcabcbbcacbbcacbcbbbcababcababbaacbacabcabaaacccabacaabbabcbbccababcaccaabaacbbccbcabcbacbaabaaccbaabcabbbcbbccbabaaaccbabcbabbccbcccbcbcaaaabbbbbbaacbacbbbcbccbabccacbaaabbaabbaabbabbaabbbbbbcbbbcccacbbbbcccccbbbacbacaacbcaabcaabccacccbcbcbbccbaaacacbacbbbccaaaaaccccbbcaaacccababcacccacccccccbacccacabcbcabacacaaacabaaabbaaccbbbaabcabccbbbcbbabbabbbabcabcaacaacaaccaabbcccbbbaccaaccbacaaccaacacbacacbbbcccbcccacaccccbacaacacccaabbccabcbccbbacccbacbabaabcbbbbcabcacaaababcacacaabcbccbbacaabbbababbaccbcbcbcbabaacabccbbcbbaaabccaacbcbacccbbaabcbbacbccbbcccaacbcbcbcacabcabaabcaacaabbabbbcccbcacaabaccbccabaacbbabccabbccabacaacbccabaacabbbcacacbbcbaabaacacbacaabcacaaabcaaabccbbaaaacabcaabcaabccbaabbaaacaacabbaabcababcacccaaabacbaacbcbbbaabbccbbbaaabbaabacabccbbbbcccacacbaabbbacaabcbabccacaacacbbaabccbbbbacccaaccccacbccaabbbababcbbbbbacabaccbbcaaaabbabbabbcbabbaccbbaacbaccbcbbbcabcacbccbbabcbacabbccbcbacacbabaaaacbbcccbaabbbacbcbccabccaaabaacacccabbcacaaacabbaacbbccbaacbcbcacabaaccabcccbcabcbababbbccabbbcbccbaccacacbbbaacbccbbcbaaaabcbbcccbbaaccccaccccbcccbacaabcbabbacaacccabbaabcbaaaccabacacabbccacbacaaabcccbbbbaaaccaabacaccabababaaaccacbacbacbccaaccccbaaacaacacaaaaccbcabbccabcbbcabacaaaaabacaccbabcbacbcbbccaabbbbaacacbcaaccbcababbacbacaaabababbccbccaabcaccabcbbcbabbccbabbbccabcbacacbabbaaabcccaaaccabbccbbaabaaaccacbcbbcabaaaccaaabccacaacabccbcabcccccbabcbbbabacabbabbabaccacabcacaabacacabbcacaacbcabccbbccabacbcbbbacacccbcbcbaccacbabcaacbbcccbaacaaacbaabbaacaacabcbcbbcccbcaaaabccacbcbabacaaacbabaaccbcbccbabaabbcbbacbaacbaabbcacacaaaacaaaccccabccaaccbbbabbcabbaabbabaaaacbccaabcbcbccccbacaaccacbaabaacabbacacacbcbabbbacabbacbbbcbabbbaabbbbbacaabacbcaabaccacbacaaccaacaaaaabccabbabcacbccaabbbcbabaabaaacaacccabbcbbcbcabaaaaababbccccbbccbcaacacbaabcbbbababcbbbbabaabbcacaccacbababccbccbbccacacabbcaacbabbbcbcaacbcaabacbaabaaacbbbcbbcabccaabccabbbccccacabaacacccaabbbcbbccbaacababcabbaacabaaccbccaabaaccacbabcaacccabbbccaacaabcbacbbaacbacaabcbccbaacabcccbcaacbcbccbcbacacccabaccccbcbbccabacbbccaccaacbaaababbabcbbcaaabccaababbcabcbabbbaabcbbacbcabbbaacbbcacaaabbaabcccbcbccaacacbacbcbcaababbccababbacccbacaaaccbcbcbcbabccaaaccbabcaabbabcbabaccaccaabbbacabaacccbbaccacbabccacaccacaaacaaaaacaccbcbbcbabbbabbbccaccaaaabaabbcbbcbcbcaabbaabaacaaaaacaaccbcbbccacabbcbbccccbbbbbbacbaaabcaabbabbabcbabcbbbcbbabaabaaaaabacbcbbbbabaccbaabccaabbabcaabbbcbaaaabbcbbacacaabaccabbbacacbaaccaabbabcaacaccaabcaaccbcbabcababcaabbccbbabbccacbabcbbcbcabccabbcaabcbbcbbbabccaacaabaabbccbbcccbbaabbabcbcabbcbbbbbaacbccbbaabbcaaaabbbacccccabaacaabcccacaacccacacaabccccccccacbaaaabbccbaababbbccbcaabacbcccacaabbccababacaccaaabacccaabcbbccbaccbcabbabaacaccacbbaababbbcccacacbbabcabacbbaacbaaaabbbabcbaaacaacbabbbbcaacbcbaaaccabccbabccaabcaacabacaaaccabaacaabbcbccbaabcaacbccabaccabcacbccaacacbbaccaaccbcbbccbbcabaabacaaccbacbbacabbbcbbbccbcbaaaacaccaccacaccccbaacbcaaabcabbbbbbcacbccbcbacaabcaaaccccaaababbabcbbbaccbbaababacabbabcabbccbbbaacaccacaabccbaaaabcccacaacabacccbaccbabcaabbaaaacaaacacbbbaabccaacbaaccacbbbcaccbccccbaccbaccaacbaccbcaaccaccbccbccabbaabbbcaccccabcbacbacbccacabbbcacbacbaccbbccabacbbcbbababbbaacaaabbababbccbabbcbccbccccaabbabcccaabbbcbcbccbaaaccaacaacbcbcababccabbacbcbbbaabaaaccbbaabcbbccacccaacacabbabccacbcbbaccaabbacbaababbcbbacaabcaacccbababacabbbcbacccaabcacccbccbbbabababbabacaaabacacbaaabbccaaaabcacbacbacaabaaacbbcbbacacccbbcacbcbaabccbccbbbcacacbbcbcbaccccbcccabbccbcaccacbaabbbcbaccbcabbbcbaaaabbbaaaabaacbcabcaaacbcaccabacababbcccbacbaacccbcabaccabccbcbbbaccacaccbccabbcbacabacbcbcaaaacaacbabbacbbccbaaabbacabccabcbbbbaaabbacbbbbcabcaaaaccbcbcaaaabcacaabacbbbbbbaaccbcacacacaabaccaacbcabaccbcbbbaabacbbabcbbbabcaccaaaaaabccbbccbaccabacbacbbccabbacccbbbbccaaaacccaabcccacaacbacacacacacccbbacbababaacbbcccacabbbbbaccacbccabccaabbcbbabcbbaaccacccbcbbccbbcbbbacaaabbbcabacbcabcaacacabccabbbcababbcaacbbcacbbcbabaabbbcaccbaaaccaaabbccbccbcccacaaaccbaabbacababcbccbbbcbaaaaabbcbbaabbcbbbaaabcbcacabbcbcbccbcbbabaaaabbbcbbccaccaccbacacacacccaccbbbcacbcbccaaccccbcacbacbcaccbcaabbaacbaccbabaccbcccabccaabcabbacbbbabaaaaaabaaabcccccabccbcababbccbbcbbacccbaabaabbbabbaacacbbbabcbcbcacbcbcbaaaabaacbcbacccbcaaabaaaccaabccaacbcbcbccbcaaabccbcbcbaccaacacbbbbbaacbacccbaacacbcbcbbbbccaabaababccacbbabaaaaabcacbcaccabcccbbcaccbcaaaacbbbcbbbabacbabcaccabbabaacaabcccaccabbaabcacaabbbbbbbaacabaabcacabababcbbbabccbaacaaccabbacbbbabccabbacaabaabbbbccbbbcbaaacbbbabbbcbbbcacaccaabbcccbbcbbcaaacbabccccbbbacabaabccbcbabcbcbababacbcacaaaabacaabbbccabbcbccbabbaaaacbabbcbbaacbbcaacabcccbbbbcbcacabcaaabacbabaabccbbbbcaccbacbcaabbcaccaccbbacaccababcababbacbcaccacccaaabaaabaaacbbbbbabaabbbaccccaabbcbbbacababbbcbccabbbacaaaacbaabacccbacaabababcccaccacbababacbcaabcbbbccbbbcbcaabbcccabbcbcbccaabaaabccbccbaacaccbbbbbcbcbabcaacbbbbacabccabcaaacccbbbcbbaaaabbccbccccbabccaccbcacbbccabaaccbabcaccabcaaaacaaacbaaacbcbacbcacbabcabcabbabbaaabccbcbaccbbcababbcacacbbabbbbabcbccbccccaccacbacabbcbaaccbccabbbcbbaaacbcccbaaccbbbacccbbaccbacbabbcacbabbbcbbcccaabaacbaaacaabbcbbbbbbaababbcacabcbbcbcbccbabbccabcabbacacbbaccbcccbcaacbccbbcababacaaababbbacbabcbbbabcbabbcbbaabbbccbbcabcabbcabccbbcabcaaaababccabbaabaacacabcbcaccaccbcbbbbbcbbacabaaacababbaabcacaabbaaabcacaababbccaabaabcbbbcbcccbaaacbcccbbcbbaabccbcabbcacaacabaabccacccaababaabbaccccaabbccccacacccabcabcabbccbbcbbbaacaccacbcbabbcaccccaccbaaccaabbcccaabacbcabcbbccaabaccccbbaacbabcbaaabccbaccccbabccbcaaacbaaccbbbabbabacaaccabacaaaccccbccbbacbcacacaacbcaacaccabcacacabbbcaaaaabaabcbccacaccabaaababababcccacacaaaccbcccacbbbbcbbcbacabcbbacbbbcbacaaccbbccaaaabacbcbccaaabacbcbaacbabaaaccbaaacbaaccbcaaacccaacabacbabbcaabaabaabcbababccbababbaaaabaccabcabcbaabbaacacbcabcbccbbccbbbcbbbccbbaabababbbbacccbcccbcacccacbccccbaaaabaabbbbbccacccaacbcbaabbcbabacacbbcbabbaabaacbbbccbcabacbacabccbaabbabcbbcacaccaabaaaaabbcccbaaaaabaaaabaabbabcacbacbaabbbccbabacbbccbbbacbccbbccabaccccabaabbaccacccaccbcbbbbbcabccabcbcbcbbaacabbbcbaacbaacacaccacabccbaaabcaabbabaaabcaacaccbaaaabaaacabccbabcabccacbbacaaabacbaabbaacbcaacbbbccbbcbcbbcbcacabccbcaaabcaccbbccbcbcaccbbbbcacabcbccacbccbaacbcababaccbacbaccbabbbcabcccaacbaccccabbbcabccbababcbccbcbcbcbacbabccbcacbbbbacacacbbbccbccaaccccabbabccaabcaaacacbcaabacbcbcababacaacabcbbbbccbccbbbbbbccbccbacabbbbccccaabbbabaacbacbbacababcaabcbccabaabababacbbbcaccacaccccaabaacabcbbbbbbbcacacbabaababbbbbaccaaccacaaaaaccababccababcabaccbcccabbacbcccbbcacbaaccbacccbbbcbcababaaababcaaccacbbbbcaabacacaacaacbcbbabbaacabcbaacaaabbcabaccbbabbaabbaccaababaccaabaaacaccabaaccbabcacaccaacbbbacbcccccbbacbccccbcbaabacabbbabcbbcacbcabcaaaacccbaabacabcbacaacbbabaacbaabbccaacabbbabababcbbbbcbcacabcaaccaabcacccbbcaabbabcbcbccbccbabaaacccbcbcaaaaabccbccbbaaacccaacbacbabbbaabbbababaacacaaaabbcaccbbaabacbbacabbcaaabbacbaccbacbaabcabbcabaaacbaabccaaacbbbcbccabbacabacbcbcacaabbcbbcbaaccaacccacabcbababaabccacacaccbcccbccccaabccabbaabccacaaaaabccbbbcccaccccaacacccaabbaccacaacbbccccbaabbbbbbcabbccbbaccccccacacccbaccbbbabaacbcbbbbaacbababbacbaaccccccbacbbcbabaccbababbacbbaabccbbaaabccabbbabcbbcacbacaacbcbaabbabbccccccacbabbcabaacaaaaabccccaababbabccabcabacabcaacbccabbaaabbabababacabcacbcaccababcabaacbbbbcbccbaaaccbbbaacabcbcacabcccaaacbccacbaaabbbacbbcccbbcbabccbabcbabaababcbbbbbbbaacaacacaabcabccbaacccaccccacbbcccabbbcacaaabbaaaaababcacbbbbbbbacbbababaaabbacabccaabbabaccbcabccbbbcbacababbabacbabbbbbabbabccbbabbaaccbabcbacacabcaacaacaabacbbacbbcaaaababaabcacabcbabaacbabacbbcbcbcbaccbccababbccbaaacccbccbcacccaabccacccbcccabcbabaaaccbbbccababaabcabcacccabacacbcccbbbbbbbccbcbbbaacaaaaaacaaacabbbbacbbaccbacccbbaaabbaacbcbababbbcbcaccbacbbcccbacbacaababaccacacabcbacbbbbbabcaacbcbbacaaaabccababbbbbccbacccaccbaaccaabcabcbbababcaccaccccccccccccacbcacaccbccabacbcaaabcaabacbaacbacacbacbaaaccacbcbbbccaabccbaccbbbaaabbcababbbacaacabbaccbbbbaababcacacbcabccccbaaaacabaccacbcabacbcabcbcacbcbbaababacccbbcabacabacbbabbccabaacaacbbaacbcaababacbbcbabbaaabaabcaccaaaabbbcabaabcbbbaccbbcabcbabbcbbbbcaabbcbacbaaacbbcbabaaaacbbbacacabbbbabcbccbaabccbbcaaaaacbbbbcbcaacaacacabacbaaaccbbcacaababcccaabccabccacaabbbbbccbbabbabbcbacacbcacaacaabcccaccbcabcababccbabacacbbaaabaaabcbcbccaabaacbcccbbabbbbcabccbaccccbcbaaacbaabcbcababbcabacbcbcbaacccaccbcabbaabbccaaabacabcbcccacbbcaabbbcbbccabacbbaababcbcccbbbbbbbacbcccbbacbbcccbcbacabbaabcacbbacabbaacccbcabaabacbcaacabcbbbaacbabbaaaccabccbcbcabcabbcbcbacbcbcaabbaabaaaababcacabaacaccabcccabcbabaccbabcaaacbbaacccbcaabccaabbbccbbaaaaccabbaabcccaaacbbbcbcccbaccbbbaacbacbaaabccbabbbbbccababbaccaacabcabcaccbcaabbabaccacabcacbacccbbabcabaaccccbcabccababccbaabcacbcbbabaaaabbbccaaccbaabacbbcabbbaabbbbaaccccbbbabcbabbcbacccaabaccaccbbbbabaacabbcbcbccbbcacabcccccbacaccaccbbcaaaaaaacaabbaaabcbacccabaaccacbcacbabacabbcaaaaaabacbcaaccaacbacacacaaaaccacbcccaabbccbbaacbacbccbacbababaacbabcccbabbcabbabcaaacccaabaaaabbcacbbbcaacbabbcbbcbccbbccccaaaabacbbabaacbabcbacabbcabbacbaabcbaaaccacbcbcbbcaabbacbbbcbbbbcaacbcacacbabacccbacaabbaaaacbcaacbaacbbbacabbcabbcbbcabbabbbbaccabaabbbacbbbcaaccaacbabaacbaabcbcabacaaacaccbababacacaacabcbcbabaacabacabaaccaaacbccbcaaccbbbcabbccaacacbcccabccbaacbccccabccaccacccbcaaaababccccaaacbbbbaccbccbbbbacabcccaacbcacaabbbbccacaabacbaacbbaccaabcacaccababccabacbacbbcbababcbacbcbacabcaccbcbbcaabbbabaccbbaaababbccccaabacaacababbbcbcabbabbabccabaabaaacbabcbaacccbbbacabcccabcbacabacccabababaabbbcbbacaaccbccabcbbaaacbabccaccabcbabbccaabccaacbccaaacbaccabcaabcbcbcaccabccbaccbcbaaacacbbbcabaacbcaccababccbbcaabbabaabcbaaccaabacbbabacaaacbbabaacaccaacaccbcacbbababbcabbbaccccbcbbbacbbacccbaccbbbabbcaababbaacbbccbbbbbabbbbabccccabaaaabacbccababcacabcabbaabbccacbbaacbbccbcabaacbccacaabaabcccabaaaccacacabcccbbbcbcbbbbaaaaaabbcacacabccaabcacaccbaccbbaacccacbcaabbbbccbbabbbcababcbbacbaaabaabbcaaabacbcbbccababbbacccaccabccacaababbcaccbcbccaccaacabacaaaccbacbcaaacccaabaacbcaaccbbacabcccabcaabbccbabbbccccbaaabbccacaaccbbcaccabbbaabacccabccbcbaabbcacccbbaacbccbabacabacccbcbcacbcbabaaaacacababaabbaabcaacacabcaaabcbcacacbacabbccacabaaaccbaaccbcbcabcbccaccbcbabbcbccbcbacacacbabaacabbbccacbbccabcaacaabbacccabaabcaacccccacabaabccccabcbacacbbaaaaaccaacbacccbcabcbaaabccbbcbaababbaccccbaacbccabcccabacbacaacacaccacccacbaababcbbbccabaccbabcbabaccbbcabbccbbcbbbcbcacaacbbabcbbaabbacbaaabbaacabacbbaabaabbbbcbcaabbbaccaccbacbbcbcbbaccacaccabbcccbabcccaacccbbaabbbaccbaababacabbbccbaabcbcaaccbbcbcaaccaaccbcbacbcbcabbabacababcccacaaaaccabbaacccaccbbacbabcaacccacabcccbabbbcacaacbbbbacaabbabcbcbaccabaabaabaabcbaaaacbbcacbabaacaaababccabbbcacabbccbbabcbabcbaaaaacccbccabbbbbcaaaaaacaccacbabbabcacacbbcbacbaccaaacaacbccaaaabaaacccaccbaacacbcbabacabccbcbcbcaacbaaaccaabaacabbacababaccaacbcbcaacaacacaacaabccccbccbbbbaaccacbacacbbacbbcbabcacacacccbbccaabcbbaabbbbbbabccbbbaaacbaabcccacbaccbbcaccbcbaccaaccbcbbcbaaaaccacbbbbbbaabbacabaacccbccaacaacccccbabcaacbabbbcabbbbabababccaaaaaaccacaacaacbccbbbacaaabbcaabcacccbbabbbcaaccaaabccbabaabbbaabaababbaaabccaacabbbaacccabbacaaacaabbbbbaabbacccbabaaacabcbbccabcbaaccbbbcccccbaaccacbacbacabbababaaabcccbabcbbbcccacbcbacacabbbbbabacbcbabcccaacacaaaaaaacabcccacaabbcabbccaacaccbcaacaccabaacccbacbbbcabacaacabcaccaccacaaacabbacccaabaaccbbcbcaabbcabccccccaaaccabcacbccbcbbacaccccbcbacbcaacbaaaaaacabcbbcaabcabcaabbaaabacbcaaaacccccbbcabaccbacacaaccaacabcbaabbcbbbcacabbbcacaaaacaaacbbbbcccbacbbbbaccaccbccbbbbbcababbcbbbcaaccacccaccababbcacaaabcabbcbaaaababbbcabaaaabacbcaaaaabcaaccbcacbacaaccbababcbaacbbbbccababacacbcaccbabcbbbaabccacbacaacbabbcaccabbbabbcccbabcbbaacbabcbabaababcbccabacaaacacacaaccabbcbacaaabacabbcbccbccbaaaabcabbabbccccaccbcacabcccbcabcacaccaaababbcabccbbbbbcacbaccbacbbaaaacabaaccbbcbaaacaabacbbccbabcaaaccacbcabcacaaabcbcabccbabccccabbccbababaccbabacbcbaabaabcaababbcaaabccabbbbccbacccaaaacaacabcbaaaaaaabbcbbabaabbabcbcacbbcabcabccacbaaabcccabaaaccbacccacbccbbbabaaabcbbbcaccccbbbaabcbaaaabaaacaacbcabcbcbbacabcacabbabcaaaccabbcaaaaacbcacbaacbccbacacacbacbbcaacbcccacacbbbaabcbbccbabacbbaaababcaacbcbcbacbbcbcbcabcacabcbcaaaababaaaccbbbaaabccabbbbaababbbcacccbbaccccaacbaaaabbbaccbbcabaccabacccbcbbbcabbaabbcbcbaacccabbabcaaccabacccbcaacccaccababccacbacbccbbabacacabbbcaacaabaaacabaaccbcbacaaacbbacacabaacababccbabcbbaccaaabcacaccccccbabbcbabaacabbbccabcbaccbbbbccbbbbcbacbcabacacbbbcccaaaaaaabcccababaaabccccccccabaacaabbcacbccccbacbcaccabacbaacbcccabacacaaaccacbcbbaabcbaabaacbbaccbbbcbabcabcabcacababaaaabcacbbcccaccaabcaccabcacccabbbcbbbabaacbcccbcaacacbacababccbbbcabcccccbbcacbbcabaacacbbaacabcbcbccbccbcccabbbbbcbacbbccccbcacbcbacbbbbacbbbbbcaacabacaabccacbcabccabaabbaacccaaabbcccbacacacccacaabbabbbabbaacbcaabcaaacbaacbbaacacaaababbccacbabacbaacaaacbacccaabcbacbbcaccaaaaaaabcabaaccacccacccbabbcbbacabbbbcbaacbcabcaacbacbbbabcbbccabbbccbacabababcccbccabcacbbacbcaaaabbaabcabcaccabbcaababaaabccabcbcacccbaacaaababacbcbcacababcacccbbcbacbcabbcbacacbabbccaabcbbabcbbaccabcaacbbbbabcccbaacaacbcccabbabbaabbbcaaacbcaaaaccbabaaccccccbcbabbbbcbaacaaabaaabaabcaacaaabaccccaabcccacbcbacababbbbacbbcbaaabbbaaacaccbaaccbacbababacbbcbacccbabcaccbbcbacacabbaabcbbabaccbaabcaaabbaccaaccabacacaccabbcbbaccacabcaabacbbbacabaccacbbbacabaaaaccaabababbaccbccabccccbbcaccacaabcabacccbcabababacccaacbcbcbcccabcbabaccabccbccbcaacccccccbbababcaacabacabcbabcbccbbbbacbcbcabccbacbbacacbcabcbbcabcbccbcbccccacbccbcacbbbaaaabbbaaabbbcbcabbbaacabaccaccbbcbcbaccbccacbacccacccbcbacaaaaabbacaaabcaabbabcbacaabbabcbbaabaccaccabbcbbaccaabaacaccbbcccccaaacaacbcabbbcabccbcaccbaaacbabaccbccccbaccbaabaccaaacaacaabbaacbaccabccacbaabbbcaccaaabcbacbbccbcbccbbcccacbccbcaabccccacbabacbbbabacabbcbaaabbccbbbcaccbbbacbcbccacbbacabacaaccbaaccbbbacbbbbcccbcccbbbacbbaacaacacacbbcaabbcbbcccbbbabacacccbbbbabbbbacccacbabbbcacacbbacccbcbabbbacabcaaacaaabbbbcacbccacccbcacaaabaacacaaaabbcbbbcbbbacabcaacababaccbcaababccacbbbbbcacccbcbcbcccabbbaaccababcbacbcabcaabaaaaaacbaaccbabaaaaacacccbaccaccbcbbabbbcaabacaababcbcaabbabcbccbaaaabacbbacbcbbbbccabacaaccbbcbcbcacbbbbbaabaccbbcaacacbbcbccccbabbcbaaaabababaacaaaccacacbaabacaabaaabbbababbcacaabaabbbcacbaccbbbaacaacaabaccccbabbaaacbbbbbcbbbbaccacccbbccabbaacabcabcbabcacbaaccbabcbbbcaccaccababcbbbbcbbcbcbcbcbbabcaacacaaaabbacbccabaabccbbbcaccaccaabbcbccaaaacabcbbaacbbcbcccbbbaccacaababcbabbabacbcbaaccbccccabcababaaabbbacacccbbcabacbbcbbaccacabbbbcbabacaabbbacaccbabababacaaaacabbaaacccbccccbcaaacccabcbbbaaaaabcaaccbbcccccccacbacbabccbbcbacbcbcabbbbabaaaabbbacccaaacabbaacbabbabbacccbbcbbbacbccacacacccccaccbcbcccaaaccaacbbcbbbabaaabacacbccbacbbcbcaaccbccbcacaaabacaabacababcbcabcbbabcbcbabbbbccabccbcbacbbbacaabacaabaaaacacacabcbbbababcccbcbcabcbacaaaccacaaacccbcbbcaaccaabaaaaaaacaccaaccbacaacbbaabcacaabccaaabcbbbcbccbcabbaaacccabcabbbaccbcbacbccccccabcaabbcccaabacbabbcabbbcbbbbcccababbcbbbcbaaaccbbabcbcbaccbbbcbcbabccccccaccbcbccacaabcbbbbcbccbbccbabcbbabcbbcaacabbcaaabacccccbccaaacacbbbababccabcbaababaacacbccbbccbcbaacbbbcbbaacbcabccbcbabcaccbbbbcbacccaccaccacacaccbcbacbaaabbccacacaabaaaaaaacccbcacacbbccbbabcbccbccbbbbcbbababccbcabbaacccaccbcbabaccbabcaacaccbbabccacbbbabbcbcaabacbcbcaabcbcbaaccbacabccccacabccbaaababbbcbbabaababbbabccccacbaacaaaaccaacbccababaabcacbbaabcbccbacbccabbcccccabbccbbaccabbbcaccabccaabccacccccaaccccbccacbbbccabacbcabbcaacbcbcbbaabacbbbcbaacbccabbaacccbccbacbbaaabcaabacbcbabbaacbbaacacccabcbcbabacbbabcacbccacabccbbbaacacaabacacaccbcabccaacbacbcaaaabccbcabccbacacbbcabbbbbcbbccabcaaaabbccbcbacbcbabccccaacbabcbaaccacbcbcabaaccaacbbaccaabaccbbaccabcabbacccbacbccbabbcbaaccbcbabcbccbcbacaacacaacbccbabaabcbcaccbbabcbabcbabaccaabbcbcbcaabccccabccbaccccccbabccbabaababacccabccccacabbcaabcccbcbccccccabaacacabaccbcaabbabacbbccaaaaababbcccabaccacbbbcacccabaaccaaacaccccaaacabaaabcaccbcbcaacbbcbbbbbaabbcacbbcccbaaaaacaabaaaabbaaaccccbabbbaabaacbbacbaabccaccababaaccbbcaacbbccbcacbbbacbbbacbcacbbaabaccccaacbcabcaabcabccbbcbccbacaaabbbbbbacccaccccbbaaabacbcabcbccaccbabbaccacaabaabccccbaacabacaccbccbbbaccbabacaaabbabcaaccaabcbabaacbcbacbcbacacbcabbcacaacbaabbbbacababcbbacabcbcbbbbccbbbcaccaaaccbbcaaaabbaaaabaccbccbccbbbcbabbacaaccaacacabaccbabbcaacccabccccbccbbcacbcabbbabbaacbbbbbacacbbbcccccabbbbbaaacaccccbccacbcababbbcbaaaccccbcabcaabcbbbaccbacaacaaabcbbbccaabbacacbcbbaaabbbaaabbcbbcbababbcbaaabacabcacbbbbaababaabbccccabbcabcbaacacbbbbcbcbcbbabbcbabacbabbbbcbcabacaaacbbccabbcabbaabcababcacbbaabccccacbaacbcbcabacaacacbacaabababccaabcacbccabbbbacacccacacbcbbbcbbaababbbbaacababcacbbccccbbcbccbccccaccabbaaacbbbbcabcbccbcbaccaabacbbbacaacbaacccbabcacccbcccaabbbabaacbaaabbccaacbbababbcabbcacabcbbacabccacccbcaabcbababcccbaccabbabbbcabaaaaacabbcbbbccabbcbcbcbbaccabcbcaccababcabbccbaabbbbbbccaccccbcaabaacaaabbbcbcbaacacbabcbbcbcaaabcacbacccaccbbcbaabcabbcaaaccbccbbcabccbbbccbbcabccabbccabcbcaaccbbcacccccccccabcbcabaaaabbababcbacacacacbbcabbcaccababacacbbcbcacacbbaacbabbaaccbabccabbbcccbaaabbccacaaaccaaccbacbcaabcaccabcccbbccaabyzxxxyzxxxzyzyxyzyyyxxzyxxzzzxzxxzxyyxyxyxzyxyxzyxyyzxxyzxyyyyzyyzyzzxxxyzyyzyzxzxzxzzxzzyxxyzyyxzyzyxyyyxyxyyzyzzyxxxzzzxyyxzyyyzyzyzyyzyyxxxzyxzyyxzyyzxyxyzxxzzzyyzzzyzyxyyxzzzzzxxzzzzzyxyzyxzxyzxyzxzyyyyzzxxxxxxzyxxzxxzxxxyyxzzzxzyyzzyxxzzyzzyxxyxzzyzzxzxyxxyxyyzyxxxxzxyxxzzyxxzzyyzzyyyzxxyxyxyzzyxyxzzzyxzxzzxxxzyxxyzzyxxzyzxxyzzyxzxyxzzxyxxxyxxyzzyxzxyxzzyzzzxxyyyzyxxxyzzxzzzzyyyxzyyzxyyzzzzxzyzxxzzzyxzyzzzxyxzyyzyzxxyyxxxzxxxyxyzyyyyxyyxyzzxxzxzyxyxyzyxzzxxzxzyzxxyyxyxyyxxyzzyyyyxyzyxxxxxzzyxzxxyyyzxxzxzyxzxxzxxzxzyyzxzyyzyxyxyxyyzxyyyyzxxxyzzzyxzzzyxyxxyxxzyzxyxyxyzzzyxxzzzxzxxxxxyyxxxyxyzyyzzzyyxxyzxyyyxxxyzyzxyzyxxyyyzxxyxxxzyxxxzyyyzxxxxzzzxzzxzxxzxyyxzyzzyyzyzzzzxzzyzxxyxzzxzzyyxxxyyyxxxzyyyxzzxzzyyxzyzxyzxxyyzzxzxxzzxxzyyxyyzzxyzxzyxxxzzzxxyxzyxxyxzzyyyxyzxxxyzxyxzyyzyxzyyxzxxxyyzzxzyxyzzxzxyxzzxzxzyxyxxyyxxzzyyyzxzyzyyxyzzxyyxzyxxxyzzxxxyyyxyxxzyxyyxyzzxzxzxzyxyxzxzyxxzyzzyxyyyxzyyyxxzxyyzyxzyyxyyzyzxyzyzzzxyzxzyzzxyyzyxxyzyzzyzyzyzyxyxzzzxyyxxyzxyzyxxyzyxyxzzyyyyxyxxxzxxyxyxzzxzyyyzyxxyyyzyxzzyzxxxyyyyxzzzxxzxyzzyxxxyxxxxyzzxzzxxyxyxyyxxyxxyzxxzzxxxzxzyzyzxyxzzyyxxzyxxzyyyxxxzyyxzyxzyxyyzyzxyyyyyyxyxyzyyyzyxyzxzzzzzyxxzxxzxyxyxzyxzyzyyxxzyxxyxxyyyzzzyzxyyyxzxxxxyxyzxyyzxxzxyzxzyzzyzxzyxyzzxzxzzyzxyxyzzyzzyxyxyxzyzxyzxxzzyzyzyzxyzzzyzxzzyzzxxxyyxxyyzxzyyzxxyzxyxxyyxyxzzxxxzyzzyyyzyxxzxzzzzxxxzxyxxyzxxxzzyzxxyzyyxzzyxxxyxyzxzzxxzxzyyyyxzzxzxxyzzzxxzyyxyzzzyzxyzyyyzzxxyxyzxxyzyzyxyyxxxzzyzxzyzyyxzxzyyxyyxyzxzyyxyzyzyxyyxxzzxxxyyzzxyyxyxxzyzyzzzyyxyyyyyyyzyzxxyyyyzxxyyzxzyxyzzzyxxyxxyxyxzxyyyxzyyxxyyzyxyyyzzxyzyyyxxxyyyyyxzzyxxyxzyyxzxyyzzxxzxxxxxyzzxzzxzyyxyzzxyzxxxyzxxxzyyxyxxyyzzyyzxxzzyyxzxxyyxzxyyxxyyyzxyxxxzzxyxxyzzyzzxxxyzyxzxxzzxzzyxzyyzxzzyxyzyyxzxxzxyyxzyxxxzxyxxyyyzyyzyzyxxyxzxzyyxyzxyxxzzxyzyxyxyyzxyxxzyyxyyzyxyxxyxxzzyxzyyyyyxzzxxzyyxzzyyzzzxyzzxzzzxzxyyyzyzxyzyyxzzyxyyyzxyzyyyzxyzzyyxyyxyzzyyyyyxzzyzzyzxzxxyyzxyxyxyzxzxxyyzxxyzzzzxxxxzyyyyxzxyzyxyzzyzzzyxxzxxzzxyyxyzyxxyyzzyzzxyyzyxzxyyzyyzyzxyxzxyzyzxxzxzzzyxzyzzxyxyzyxxxxxzzxzzxyxxyxyzyyyyxyyzyxyxyzzyzzxyxzzxzyxzxxyyyxyxyxzxxxyyzyzyzxxzyxzxyzyxxzzzyxxxyzyyxzzxzxzxyzyyyzyzyzzxzzxxyxyyzzxxzzxzzyxzxxzxyxxxyzzxxzxzxzzyxzyzzxzzxzyzzyxzyyxyyyyzxzzyzyzyxzxxxzzxyyyyxxyyxyzzyxxzzyzxzxxyyxyxyzzxyyyxxzxyyyxzzxxxyzyxxxyxyxyxyzxyzyxyzzzxxyzyyzyxyzzzzyzzyxzxxzyzyxyxxzzzyxxzzzzxzyyxxxzzxyxyyxxyyyyzzxyxyxyxyyyyzzxyzyxyyxxxyyxyyxyzyzxzyzxyxyyyxyzyyyyzxyzxzzxxxxyxxxyxzxxxzxyzyxzzyyzxyyxxzzyyzxyyyyyxyxzzzxyxzyxyxzxyzyyzzxyxxyxxxyyzxyzyyxxxxzzyxxxyzzxxyzyyyzxzzyyzyxzxyzyyyxzzxzxyzyxzyyxzyxyxzyzxxzxyyyzyzxzyzxzzyxzzyxzxzyxyzxzzyzzzxzzyyyyzyzxyzxzyzzyzzxyzxzyyyzzyxxxyzyyxzyzyzxxyyxxzxzxyyxxyyyxxxxxzzzyzxzzxxzyyyzyzxxyyyyxxyxyyyxyyzzyzyxyzxyxzyyyzzyxxxzyzxyyxxyzzyyxyyxyxyzyzxzyxxxyzxzxxzxyyxxzzyzyzyxxyyyyyzyxyzxyxyyxyxzzxxyyzzxyxzyzyxzyzyyyyzxxxyzyzyxyyyzyxzxzzzzzzzxxzxxxzxxzxyzzzyzzzyzyzyxzxxxxxxyxxyyyzxyxxxyzyxxxyzyzzyzzzzxyxyzzxxxxyzyxxzxyyzyyyyxxyzxzxzzzzyyxxyxyyxyzxxxyyzzzxyzzyxzxyyyzzyxxzxxyxxzxxyyxxyzyyzyxyzyyyzyxyyxxxxyxxxyyzxyxxyxzxzzyxzyyyyxyxzzzxzzzzxyyxyxyzyxyyxyzxxxxyyxxzyzzxxyxyxyzyyzzyzyxzxzyyyxxxxyzxxxyyxxxxxzxyxyyyzyxxyzyxyzyxzzxxzyxzxyyzzzxzxyxyyzzxzxxyxyzyyyyzxyxzxxxzxyxyzxyyxxzzzxxxyzxxzyxxyyzzyxyzxxzzyzzzyyyzzyzzzxzxyyxxzyzzyyyzzyyyyyyzxxyxzyzyyxzzxxxyyxzyyxxzyzyyxzxzyyzyzyyxxzxyyyyxzyzxyzxxxxzxyyxzzxzzzxyyxxyxzzxzxyxzzzyzzzxyyyxyyxxxyzyyyxyxxzzyyzyzxzzxyxxzzxzzzxzyxxyxyyxzyzxxzzxyyxyzxyxxzzyyzzxzyyzxzzxzyxyyzzzzxyzzyxyxzyzyxyyxyxyyxyyyxyzzxyzyyxyxzzzxyyzzyxyzxxzyyxyyyzzyzxyyxxyxxxxxzzzxxyyzxyxxyyyyzxzzxzyzyxzzzxyzxzxxxxzyxxyyzzyzyyxxzyyzzyzyxyyzxxzxzyxyzxzxxyxyxxxxzzzyzxxxxzyzzxyzzyzzxzyyxzzzyyyyxxzxyzzyyxyyyyxzzzyxzxzzyyzzxzzzyzyzyxyzzzxyyxzzxyxyyxzxzxxyzzyxxyyyxzxxxxzyzxzyxzyyzzxxzzzyyyzzzzyzyyyyxyxzzzxyxxyyyyxyxzxyxxyyxxxyxzyzxyxyxxyyxzzzyyyzxzxxyyzyxyyyyzzxyzxyxxzyyxxzxzxxzyxyyyyyzxxxxzzzxzyzzzxzzzyyxxxzzzyzxyyzxxxxyxxzzyzxxzyyxyzzxzzyxyzxzxyxxxyyxyxyyyyyxyxyzxyzzzyyxyzxzxyxyyzyzyzxzxxxxzyxxxzyzzxyxyyxzxzxyzyxzxyyxxxyyyxxzxxzyyzyyzzzyyzyzxxxyzyyzzzxyyxzyzyyzxxyyyyyzxyzyzxzxzyyxzyyxzxzzzyzxxzxzzxyxxyyzxzzzzxyxyyxxzyzzxyyxyxyxyxyxyxyyxyxxzyzyxzzyzxzxzyxxxyzxzzyzyxyzxzxzzxzzxzxzxxyxxyzyzyzzyyzxxxzzyzyzxyzzyzzxxzzzyyyxzzxzyzxzyzyyyzzyxxyyxzyxxyyyzyzzxyyzyyzyzzxzyyxzzxyyyyyyyxyyxyxxxyzxzxxxxxxzyzzxxzzxyxzxzyyyyyyxzxzzyzxzzzxyxyzxxyxxyzxxzyyxxzzyyzzyzzyxyyxxyyzxyzzzyxzyyzzzxxyxxyxzxyyyzzzxxyxxyxyxyzxyyzyxxyyxzxzxxzzxyzyyyxxyxyxxyzxxyyxyzyzzyyxyxxyyxyxzyxyyxxzzxyzxyxzxzzzxyzxzzyxyzyxzxyzyxyyyyxyxzxxzxzzzyxzzyyxyyxxxzyxxxzyyzxxxxzzyzxxxzxzyzyxxyxzzzzxyzyxxyyzxxxyxyzyyyxxxxyzyxzzyxxyyyyyyxxzyxzyxzxzyyzzxyxyxzzxxxyyyyyxzyxzyxzxxzzzyzxzzzzyyzyyyyzxxxyxzzyxyyzxzyzxzyyxzzyyxyyyxzyyzxxyxxxyyxxxxzxyxzzzxzxzzxzzxxzyxyzyxxzyxzyxyxxyxzyxxzzxyyxyzxxzyyzzyzyxxzxxyxyxxzyzzyyzyzxyzyyzzyxyyyxyxyzxxzzxzxyxyzyyzyyxzyxzzyzyyxxyyzyyzzyxxyyxzyyzxxxzzxyyyxyyyzxxzxyxxyzzxyyzzzxzxxzyyyyyxzxyyxxxzzxyxzxzxzxxxyyzzzxzxzxxyxxxyxxzyyxxyxyxxzzyxxyzyzyxxxxzxzzxxxyzxyxyyxyxzzyzzzxyyzxyyzzxzzxxyxyxxyxzzyyyxxzxzzyyzzyxyzyyxzzxzzxxzzxyxyxzyzzzzzzxzyxzzyyzzxyxyzyxxyxyzyzxyxxzzzyxxzxxzxzxyzzzzyyxyzzyxxyyxxzxxxxxzzzyxxzyyxyyxyyxxzzyyyyyzxyzxzxyyyzzxzyyxxyxzzzzxzxzyyzxzyyzxxzyxzxzyyzzzzyyyxxxzyyyxyyyzyxyzxxxyzxyxyxyyzyzxxzxyyzzzxxyxzxzyyyzyzxzxyyxxzxyzyyxzxxyzzzzxyyxyzzzyyyxxyyxxxyyxxxyzyzyyxyyyyzxzzyxzyzzzxzzyyxxxyzxyyxyzyxyyzzxyyxxxzzzyyyzzzxyyxzyzyzxzyzyxzzyxyxxyxzyxxxyzxyzyyyzzxzzzyxxyyxyzyxzxxxyyxzxxzxzxzzxxzzxzyyzzzzxzyzxzzzzyyxxyzzxzxyxyzxxxxzyzxxxzxzzyyzyzzzxyzzzzyxxzyzyyzzyxyzxxyzxzyxyzxxxyxzzyxzyyyzyyxzyxyyzzzxxzyzzyyyzxxxyxyxxxzxyyyxxyxxxxyyzyxyyxyyyyxxyyxzxyxyyzxxyxxyyyyyyyzzyzxyzxzyyyxxyxzxxzzzzyyzxxxyzxxyyzxyzzyyzyyxxyyyzyyzxzyyxzyxzxyxyxyyyxxyzzyzyyzyyyxxxyzzzyyyyyxyyzxxyyyxxyxyxzyxzxzzxxxxxzzxxxzxyxxxxxxzzzzyyzxzxyyyyzxzyyxxxyyyyyxzxyyzyzxzzxyzyzyxxxyxxzyxzyxzzxyyxxyxzzzxzzxxzxzxxyxzxzxxyzxzxzzzyyyxyxyxzyyxxyxyxxzyzxxzxzzxxyyxyxyyxxzzyzzyxyxxyzzxzxxyxyyzxxzxxyzxyzyxyyzxzxzyyyxyyxxyyyyxxyxyxzzzyyyzxzxyyyyzyzzxyxxzyxyyyyyxzyxyzyzxzyyxxzzzyxzzyxxxzxyyyzxzxzzyzzzyxxyyzzzzyzxzzzxyzyzyxzyyyyzzzxxyzzyyyzxyxyzzxzyxxzzxzyyyyyzyzyyzyxzxyzyzxxxzxyxxxxxyzyyzxyzxyxyyzzxzzxzyzyzzxyzzzxzzxyxyzyzzyzxzzxxxxzxyzzyzzxxyzzyzyyxzyxzxzyzyzyxyyyzxyyyzzyxxzzyzxxxzxyxxyyzyxzyzxzxzzxyyxzyyzzzzzxyzzyxzzzyyzxxyzxyyyzxzzyzxxyzxzyxzyxyyyxzyyxyxxxxxyyxyzzzzxzzzzzxzyxzyxyxxxyyxyyzxzyyzxyzyyzxzxyxzzxyyyxzzxxyyyzyyyxyyyxyxyzzzxyyxxxxyzzxyxxxyxxzyzzzzyxzyzzxyyyyyyyxxxxxxyyyxxxzyzyxyyxzyyxxxzxxzzxxzyzyyzxzzyyyyzyyxzxxyzxyyyxzyyyzxyyyyzyyzxzxyyxyzzzzyyyyyzyyyxzzzyyyxzxxxzxxzzxyzxyyxzzxxyxyzzxzzyyzyzxyzxxxzxzzyxyxyyxzzxyzxzyxxyzyzyzyyyxyzyzyyyyxyxzzyzzxxzxxyzzyzyyxxxyzzyzyyxyxzyzxzzyyyyyzyxxxyxzxyzyyzyyyzyxyyzzzzxyzxyzxzyyxxxxxyyxyyxzzzzxyyxzyzzyyyyxxxyyyxyzxxyyxxzxxzyyxxzzxzxyxxxyyxzzzzyxyzxyzzzzzxxzzzyyyzxxyzyzxyyyyxzyxyxzzxzyyyzxzzxxxyxxyxzyxyxzzzyyyyzyyxyxyxzyxzyzzzzxyzxzzzyxzyxxzzxxxzyzzzzxxzxyyzxyxzxxxzzyyxyxyxzyyxxxzxxxyxyzxxxyxzxzxyzyyzxzzzzzzyzzyyxzzxzxyxyxxyxzyxyzyyxxyyxzzxzyyxzzyxzzzzyzzyyzxyyzzxzzyxxzxxxxyxyyzxyzxzzzzyyyxzyyyxzzxxxxxxxxzxzyxzxzzxxxyyyzxzxxzxzxxzxzxyzxxyyxxyzzxzyyxyyyyxzzxyxzyzzyxzxzxxyzyzzxxxxxyyzyyyzyxzzzzxzzyzzxxyzzzzxyyyzxzzxyxyyzzzyxzxyxzzxyyyyzyyyxxyxzyyxyzyyzyxyyzxxyyxxxxxzxzxxyyzyyxzxzxxxxyyzxzxzyyyxxyzyyyzzzxxyxxxxyyzxzxyzxzzxyyyyyzzyyxyxyzxyyxzxyxzzyxzxxyyzxxxxzzxzxyzxzyzzyxxzyxzzzyzyyyzxyyzzxyzzxzzzyyzzzxxxzzyzzxxxzxxyzzzzzxzzyyxyzyyxzxxzzxyxyzyxzyyzyzxxyzzxxzyzyxzxyzzyyyxxyyxxzyyyzxzzxxzxxxxyyyyxxyzzyzzxyzxzyzzzzxxxxyxxxxxyyyyzzxxxzxyxzyxzxxyyzxzxxzzxzzyyyxxzzzzzzyyzzyxxzyyzzyyxyzxxxxxzxxzxxxzxzyzyzyyzxxxyxzzzzzyxxzxyxzxxzxyxyxyxzyzxyxxyzyxzyxyxyxzxzzxxzyxyyyxyzzxxyxzzxxyzzxzxxzyxxzzyyzzyxxyxyxzzyzyzxyzzzyzzyxyzxyyzzzyzzyyzxxyyyxyyyyyzxzzyxyzxzzzyxxzyzyyxxxzzxxxxxzyyxxzyxxxxxzyzyyyzzyzyzzyxzzzzxzzyzzyzyxzzyxxyzyxxzyzyzzyyzzxyxxyxyyyyyzyyxxyyzxzzyxzyyxxzzyzzxzxyxyyzxxzyzzzxxxzxyxyxxyzzzxyxxxzzzyzyyyyyzxyzxxxzxzxzzxyyyyyxzzzyzzxzyxyxzzxyyxzyyyxzxxyxxxyyyzxyzzzzxxyzyyyzxyyyzyxyzxxxzxyzzzxzxzzxzyyxxyzzyzyyyyzzxzxzzxyyxzxxyyzxyxzyyxyzxzyzxyxxxyzyyxxyyyyyzyzyzzxzzzxxzyyxyzxzzyxzxzzxzyzxyxxxzxzzyyyyyzxyzzzyzzxyyyyyzzzyxzyzzyyyxzxxyzzyzzzzzzzyzyzzzyxyyyzxzzyyxxxzxxxzxzyxxxzzxzyxyzyzzxzxxyzyzxxzyzyzzyzyyxxzyzzyzxyzxzyyzyyzzxxyyyxzyxzxzxyxyyyyyzyzzxzyyzzzzxyzyxyxzyxyzzzyxxyyzyzxzzzzzyzxyzzzxzxzzxxzxzxzyyyyzzxxyxyyzxzzxyxyxxzzyyzxzyxxzzxzxxyyzxzyxzxxyxyxzzyzzxxyzzyyzxzxyxzxyxzyxxyyzyyyxyxyxzxyxxyzxxxyzyxyxyxyxyzxzxxyzxxzxzxzxzyxzzzzzxyxxzxxxxxzzzyxyxzxxxzxyyyzzyyzzxxxzxyyyzxyxxyyzzyyzyzyzxyyyxxyyyyzzyxyxyzyzyyyzyzyzyzxzyzzxzzzxyxxxzzzzyzxyxzyyxyxyzxzzyyxzyzyxzzxxzyyyyyyzzyzxyzzzyyzzyzzxzzxzyxzzxyyyxyzxxzzyyyzxyxxzxyxyxyzxyyzzzzyyxzzyxzzzyzxxxxyxyxyxyzyyxyxzxyzzzzxyzzxxxxzyzzzyxyyxxzxyzzyyxxzxxxxxyzyyxxzyzxzzzyzzzxzyxxzxyxzzxzyxyxxzxzzyxyxzxxyyyxyyyzzxyzyxyyyyyyzxxyyxyxyxzxyzyzxxzyyzxzxyzxxyxxxxyxxzyzzzzyxyzyxxxyyyxyxxxyzzxyxzxyzzxyyxzxzxxyyyxzxxzyyxyzyzzxyzyzxzyxxzzxzxyxxyxyxxzyxxyzzzzzxyyyzyxyzxxxxxxzzxyyzzxzxxzzzzzyzzxzyxyzyyxxzyzyyzyyzxxyzzzzyzxyzzxxzzxzxxyzxxxxzxyxyzyzyxyyxyxzxzyzyyyyyyyyxzyxxyzyxzxxzxyyzyzzyxzyzyxyyzyyzzyzxxzxxzzxzzxxzzxxzzxxxzyyxzyzxxzyxzzyzzzzyyyzxzyzxzzxzxxxyxxxzxxxxyxyyxxyzxyzzzyyyzxxxzxyxzxxzzzyxyxyzxyxxzxxzxzyxyxzzyzzyxzzzyzyyzzxyyzyyxzyyxxyzyzyzxzyyzzxxzzzzzzyxzxzzyxxyyyyxxzxzxxzzyxyxyyzyxyzyyzxxxyzyxzxzxxyzzyzzyxyyyxxzxxxzxyyxyyzxzzxzzxzzxxxxxzzxxxzzxyzxxxxzyyxzyxzyyyxyzyzxxxxxzzxyxzxyyxyyxzzzxxzzxxyzzzyxxzzzzxyxzzzxyxzzxyzyxzyxxxzzxzxxyxzzzyxxxyzzzxzzzzzzzzxyxxyzxyxyxzyyxyyyyyzzzyxyzxyxzxxzxxyxxzxzxxyyzyyxzxzxyzxzxxyzzxxzzzyzyxzyxxzxzzzyyzzyzzzzyyzzzyxyzxzyyzzzyyyxyyxxzxxzxxyzyyyyzxxzzyyxxxyzxyzyyxzzyzxxzxxyxyxzzzzxzxxzxzyzzxzyxxxyyzyyzxyyxxyzzzyxzxzxxyzxxyyxzyxzxyxyxyzzyxxyyyyyzzxyxzzyyxzxxzxzxyzyzxxxzyyxzzzxyyyxxzxxxzxxxxyzxxyxyzxzxyyyzyzzxxzzyyyzxxzxyzzzyzyyzxzxyzzyyzxzyxzyxyyyzyxyzzxyzzxzzyxzzxxyyxxyyyyxyzzzyzzyzyyzzyyyxzyxzzzzxxzyzzyxyzzxyyzzzyxxxyyyzxxzxzyzxzzzzxzzyzyzyxyyyyzxzzzyzyxyxxzzyzyzzzxzxzyzyxyyzzxxzyxxzyxzxxyyyyyyxzxyyxyzzyyxyzyxzzyyxyxxxzxyzzyzyxzxzxzyxyxxxzxyxzyzyxyxyxxzyyyzzxyzxzzzzzzxyzzzzxyzyxzxxyzxzyzyzyzzxxzyxzxzzyxzyxzzzxzxzxxyyzzyyxyxyzxyxzxxyxxxxxzzyzxxzzzxyzyzxyyyxzxxyxzxzxzyxyxzxxzxyzyzzzyzxxyzyxzzzxxzzyyxzxxzzzyyyzxyyzxzxyzzxzxzyxyzyzzzzxyzxxzzxzxxzyyxyzzyxxxzyxxzxzyyyxyzzyzzyyxxxxxyyyyzyyxxxyyxxzxxzzxyxxyzxyxyzyzxyxxyzzzyzxxyzzyxzyyyyyzxzzzzyyzxxxyxxyxxyyyxyyyzzxxzzyzxzzyxxyzzyyyzzxzzzyxyzxzzzyzyyxyyzzzyxzzzzzyzxxyyxzxyyxxxzxzyzxyzzzyzyyyxxyzxxzyxyxxxyxyxxxzxzzyyzyzzxxxzzzzzyyzzxxyxyxzzyyxyyxyyzxxyxzzxyxxyxxzyxyyzyyzxyyyzyyyzxzyxxzzyxxzyyzzxzzyzyxxyxxyxyxyxxxzyzzzxxxyyxxxxyzxyzxyyzyxyyzxzzyyzxxzyzzxxyxxyzxxzxxzyzzzzxzzzyyxyyyyyzxyyxxyxxzzxzyzxyyxxyzzzxyxzxzyyxxxyyyyxxzyyxyyzyzyzxzyzzxyxzzzzxyzzyyyyyxyzyzzyyzxxyzyxyzzyxxyyxyxxyzxxzyzyzxzyzzxyxzyyzyyzyxxxzyzyyyyyyxyyyxyxxzxxxzyzzzyxzzzxzzyxxzxyyxyzxxzxyyzzyzzxyyxxzzyxxzzzyzzzxxzyyyyyyzzxzyyxxyzzzzyzyxyzyyyzxzxyyxyyyyzyzzzyzyxzxxxzzxyyzyxxzxyxxxzyyzzyxyzzyyzzxzzxzzzyzzxzyzxxyzzzxzyyxzyzzzyyxyyzyzxzxxyyzzyyzyzyyzzxxxzxzyxyxyxyyyyxzyzxyzxzyxzzyyxxzzyzzxxzzzzzzzxzxyyxxyzyxzxzxyyxzzzyxyyzxzxyxyyyyzxyyyzxzzyzyzzzxxxxzxyzxyzxzyxxzzyzxyxxyxxyyyxyzxzyzxyxxxzxzyxyyyzxxzzzxyzzxxyzyxzyyxxzyxxzyzxxzzxzzzzxzxxxyzzxyxyzxzyzyxyxzyyyxxzyxzyzxxxzxyxyxxxyzyzzzxzyyzzzzxxxxzzzzyzzyyzxxzzxyyxxyyyyzzyyxxyyyxzzyzyxzyzyyyyzyyzyzzzxzyyzyxzxyxyyzxyxyzzxyxzzxyyzzxyyyzxxyzyzyxyxyxxxzzzyzyzyxxxzxxzyyxyxxxxxyzyyyxyyyzyzyxzxyzxxxyzyzxyzyyxyzzyyyzyzzzzzzzyzzxyxzyyyzyzxzzxzyxzyzzzxxxxzzzxxyxyyxxyxzyyxzzyxxzzxzyxxyzyzyyxyxzyzzzxxyzyyxzzyzyxyyyzzxzyyzxxzxzzzzyxyzyxyyyyzzzyyyxzzyxzxzyxyxzzyzxxyyzzzxyyzxzzyxzxyxzzyyyzyyyxzxzxzxzxyyyyzyxyxxzyxyyzxzyxyyzxyxxxxxyyyyyyzxxzyyzzxzzyzzyyyyxxzzxxzxxzxzxyyzyxzzzyyyzzxzyzzyyyxxxxxyzyxyzzzzxxyyyxzzyzzzxyyyxzzzxzyxxxyyyxzxxzzyyyzyzyyzyxyxzyyyxxyxzxxxzyxyxxyxzzxyzxyzzzzxzzyyxzzxxxxxxyyzyzxzxxxzzxyzzzxxxzyxyzxzyzyxzxzxzyzyxyzzxxzyxyzzyzyzxyyyxyzxyxyzxzzzxzyyxxxyyxxyzzxxxyyzyxyzxyyxxyzxyyyzxzxzxxzzxyyyxzyyzyzzxzxzyyxxyxyzyxxxxyxxyyzzyxxzxyxyzzxxyyyzyzyxxxxyxzxyxxzzyxzyzzxyzxyzxxzzyyzzxxyzzxzxxyxzzxyxyyxxxxyyzzzzxyyzzyzzyyyxxxzzyyzxxyyxyyzzzxxxyzxxzzxxyxxyxxxzyyyyyyzzyxxxyxzzxxzyxyxyzxyxzxyyxzzxxyyyyzzyyxxxyxxzzzxzxzyxxzzzxxxyyzzyyxxzzyyxzyyxyxzxzyxxyxxyzzyzyxzxyyyzyzxyzyxzzzyxyyyyyzxzyzzzyxxzyzyzxzzyyzxyxzxxyyxyxzxzzzzzzyxxzzyyxzzxzxzxyzzzxzyyzzxyxxzyyzxzxzyzzxyxxyxzxxyxzxxzzzzzyzyyxxxyyyyxyyxxzxxxzyzyxzzzzyxxyzyzyzzyyxxzzxzzzzyxxyxyxyxxyxzzzxyzyxyyzzyxzyzxxyzxyzzxyxyxxxxyzyxxzzyyzyyzyzzxyzyyyxyyzyzxzzxxyxxzyzxzzyxzyxxyzzyxzzxzyxyxzxxzzyyyxzzxxyxyzzxyzzyxzxyyyxzyzzzxxzxyzyzxyxyxzyzxzyzzxxzxzzyyzxyzzxxzxxzxzxyxzyyxzxxyyzyxzyxxzzxzzzzzyxzxxzyzzyzxzyzzyzyyxxyyyzzxzzzzxzyyyyyyxxyxzyxxxyxyxzxyxxyzxxzzxxxzxzyyxyzxzzyxzyxxyxyyzzzzxxzyyyyxxzzzyxxxxzyxxxxyzyxzyyxzyxzxyzxxyxzxxyzyyyxxyxzxxzyxxyzyyzxzyyzyzyyxyzzyxxyxxzzyyyxyxzzzzxxxzxyxxyxxzyxxzyyxxyzzyxxyxyxyzzzyyzzxyxxyzyyyzxyzxzxyzzzxyzzxxxxyzyzzyyyyyyyzzyzzzyxzyyyzzzxzzzzyzzzzxxxzyzxyzyxxxxxyzxxyzxyzxxxxzxxyxzzyyzzyxzzzxyxyyyxyzzzxzyxyyyxyyxxyyxzyxzyzxyxxyzxxyxyxxzzyzxxzyyyxxyxyzxyzyxxxxyzyxyxzxyxzxyxyyyyyxyyyzxxxxyxyyzyyzxzzyxzzyzzxxxzxyzzzzyzyzzxzyzyyxzzyzyyyyyyxxyyyzzyxxxxxxyxzyzxzzzyzyyxzzyzyzzyxxyyyxxxyxxzxyzzxyyxyzxxyxyzxzxyzxxyyyxyxzxyzzxzzxxyxxzxzxyyzyzxxxzzxxyxyzyxzxzzxzxyxxyxxxyzyzyxzyzyxyzzzxyyxyyyzzyzyzzxyxxxzzzzzzzzxxxzyxxyxyyyxzzyzzzyzzxyyxzxyxyxzyxxyxxyxzxxxzyxzxzyxzyzzzyzyyzzzxyxyxzyyyyzyyyzzzyzxxxzzyyyyyzyzxzyxyxzyyzyyxzyzxxzzyxzyyyzyxxxxxzyxyyyxxyzxyzzxyxzyzzyxzzyzyyzzyxzzyyyxyyxyzzyxzzxxyyyxyxyzzyxxzxxzxyyxyzzzxxzzzyzyyyyyzzzzyxzzxxyyzzyxxxyzxyxzxyxyyxyxzyzzxzyzxxyxyyxxxzzzyxzxzxzzyxxxzxxyxyxxyyyyyzxxxzxzzzzzxzzyzxzyyxzzyxxyxyxxzxxxzzyzyyzyxxzxzxxyxxyyyzzzxzyzxyxzxzyzxyxxzzxzyxxxxzzxzxzxyxzyyyzyzyxxxzyzxxzyxyzyzzxyzzzzzxzyxxxyyyzxyyzxyzzzyzzxzxzxzyyzxxxyyxxyzzxyzxzyxzyxyxyyzzzzxxxzyxzxzxyzyxzxxxyyxzxyxzzyzxyyyyyyyzxyxzyzyyyyyzyzxyyxzyxxyyyzyxyzyxxxxyyzzxzxxyxzxxxxyzyyzxyxzyyzyzxxzyxyzxxzyyxxxzxyxyyxyzyyyxxxxzyzyzxyxzzyzxzxxxzxxyzzxxzyzxxxzyyyyyyxyxzyxyxxyzzxxzxxxyxxxyzxzzzzzzyxxzzzxyzyxxyzyyyxxyzzzxyyxzyyxyzxxyyxyzxxxzzzyyzzxxzyxzxzyzyxzxyzxyzxzyzzxxxxzzxzyzyxzxzyyxxxzzxyyxyzzzyzxzzzxzxzyxzzzzzxzxyxzzyzyyxyxyzyxyxyyxzzxzyxxyxxzxzyxzzzzxxxxyyxzyyyxzyxxyxyyxzyyzyyyzzyyxzxzxzzyyzxxzyyzzxxzzxyzxzxyzxzzxzyyxxxzzyxzzzxzyyyyyxzzxzzzzyyyyzxxzxxyyxxzzyxxyyzyyyxzzxxxyyxxyyyyzyzyxzyxyyzyxxyyxzxzzxxyzyxzyzxzzyxxxxxyzyxxyxxzxzzxyyyyxyzxyyxxyzzzyzyxyyxxxxyyxzxxxzxzxxyxyyyzyxxxzxxzxyyzyxxxyyxyyzxyyyzxxxxxyyyxzxzzxzyyxxxzyzxzzxyyyzxxyyxyxyxyzyzzyzzyzyyyyzyzxxxxyyyyzyyzxzyxyzzyxyxyyxzxxxyyxyzzzzyyxyzxzyxxxyzxxxzzxzxzzxzyxxxyxzyyyxxzyyyxzyyxzzyyyxyxxxzxxyzzzzxxxxxyzzzzxxzxzzxyzxxyxxzxyyzxxyyzyxxyxyyzzzyxxyxyxxxyzyzzyyzyyxyyzyxxyzzzxyxxyxxyyzzzzzxyyxyzyzzzxzzzzyxzzzzxyzxyxyzxxzxxyyyzzxyzyxxxzzyzxyzyzzxzxyyzzxxzxyzxyxyyxxyzyxyzzyyxzzyzxxxyyyzxyxxzxxzzyzxxyxyyzzzzyzzxxyxzyxyxyyxzxyyyzzxzzzyxxxyyxxzxzxzzxzyxzzxxyyzzzxyxzzzzxzzyxzzzxxzyxzyyxxyyxxxxyzyyzxyxyyxzyzzxzyxyzyzyyzzxzzzzyzyzxyxyzzzzzxxzzzxyzyyzzzzyzzzzxzzyzzzzxxyyyzxxxzzxzzzxxxxyxxxzzzzyxxxzzxyzyxxzzzzxzxzxyxxxzzxzzzzyzyyxzzxxxzxyxzyzyxyzxzzzzxyyxxzzxxxxyzyzyxzyyyxzzzzzxzxxzyzxyyxyxxxzyxxxzxxzxyzyzyyzyyyyyyzxxyyzyyzyxzzzzyyyyxzxzyyyyzzyyyzzzzxxxxyzyxxzzzzxyyyzxzxzxyzzyzxzxxzyzyzxyzxyxyyxzxyxxyzyxxxzzyzzyxxxxyxyzzyzzzzyyxxyzxxyyxyyzyxxyyxzyzxxzzzxzxyxyxyxzzzyxyzzzyzzyyzzxzyyxzzxzxxzyzzxzzxxxxyyzyyxzyxxyyzyxyyxyzzyyyxxzzxzzxyyxzzyyyxxxyxxxyzxzzyxxzyxyxzxyyyxyzxxzzzyyyzzyzyyzzxxxyzyyxxxyzyzxyzzxzxzyxxzxxxyxxxyxzyzxyxzyzzyzyyzyxzxyxxyxzxyzzyzzyyxyzzyyxyxxxxyxyxxzzyyzyxzxxyyxxzyzxxxzzyxyzxzyxzzxzzzxyyyxzyyzzzxxxzyyxyzzzzxxxxxyzyyzzzyyyxzzxyyzxxyyzxyyxyyzzxyxyyxxxyyzxxxzzyxyxyzyyyyxzxxyzxyzyxzzzyyxxxyxxzxzxyyxzyyyxyxxzxzxzzxxxyzyzxxyxzxzyzzyxxxxyyyzzxzyxyzyxzyzyzyyzxxxyyxzzxxyzzzzxxyxzyxyzyyxyyyyzxxzzxxyzzzxxxzxzxzzzxxzyyyyzxzxxzzyzxzxzzxxyxxxxyzzxxzzzyxzzyyxxzyxxyxxxzxxyyzzxzxzzxyyzxzyyzyyyxxxzyyyxxyzyxxxyyyxzxzzyxzzyzxyzxzzzyzyzyzyzxyxyxzxyzxzyxzyzxyyxxxxzxxyyzzxxxyyzyzzzxzxzzyzzzzyyyxzzyxzzyyzyxxyyzzyyxzxyyxzxxzyxxzxyyxxyxzxzzzxyyxzxyxyxyxxzzyyyyxzyxzxyxxyzxyxyxxxyxyyzxyyyzxzyyzyzxyyyxxxxyxzzzzzxzyxxyxyxzxyyzzyzzzyyxzzxxxzxyzxzxzzzyyxyxyxxyxxyyzyyxyzyyxzxyyzyxxyyzyzyzyxzxyyyzzyyzzxxzzxyxzzxyxxzzxyxxyzzxyxxyzzzxyxxxzyzxyyxxxxyyzxzzzzyxyzyxxzzxyyzxzyxxzxxxyyxxzxzzzxxzxxyyxxxxzxxzxxyxyxzxyyxyxyyzzxzyzyxxzxzzxzxxxyyxzyzyxzyzyyyxyyyzyyzzxyyxxzyzzyyzzyxzxxyzzzzyxxxzyxxyyxxzzxyzyxzxyxyyyxzxxxyxzzyzyxyzyxxzzxxyxzxyxxzzzzxzzyxzyzzzzyxyxxxxzzxyxxxzyyyyxyxzzzyxyxxxxxzzxyzyyzxxxzyyxzyxzxyxxxzzzyxxyyzyxxzzzzzzxxzxxxyxxyzzyzyyyxzzxyyyzyzyyxxzyzzxxzxxxyxxyyzyyxyzyyxxyzzzzxxyyyyyxyzxyyzyzyyxyzyxyzyzxxyxyzxzxxyyzzxyyzxzyzyzxzxzxxxyyzzxxzxyzzzxyyyyzyyyzxxzzxzyxxyyxzzzyzzzxxyxyyyzzxzzxxzxzxzzxyzzzzyxxyxyyyzxxyyxzxxzzyxxyxyzzzxyxzyzzxzxyzzyyzzyzxyxxxzxxzxyzyxxxyzzyxzxxxzyzzyyxxyxzzyxyxyzyxyyyxzyyzyxzzyyyyzzzzyzxzyzyyyyzxxyzyyyzyzzyyxyyxxxyxxxyzzxzzzxzyyzzzxzyzyzyzzyzzxxzyzxxzzzxxzzyxyzxxxzxyyzzzzzxyyxzxyyxxyxyxyxxzzyyxxxyzyzzyxyzzxyxzyxyxzzzyxxxxyxyzzxzyzzyzxyyyzxyyyzyyzyzzyyyxzzxxxzyyyxzyyyyzxxzxyyzzxyyxzzxzzyxzyyyyyzzzxzxyyyyxxyyzyxxzyzzyxzyxyyyzyyzzyzxzxzxzyyxzxxzxxxyyxyxxyzyyxyzyzyyxzxyzyzyyyyzyyxzxyzzxzzzxyzzzyyzxxxyyxxxyyxxzyxxzzxxxzyzyzxxxxzyyyyxxzyzxyxxzxyyxyxyyzzyxzxxyxzzzyzyyzzzyxxzxxzzzxzzyyyzxzyyyyxyyxyxzyxzzxyzyxzyxxyxyxyzyxzyyyyxzzyxyxyxzyzzyyzxxzyzzyxyyxxzyyxxxyyyxxyyxyxyxxzzzzyyxxzxxyzxzxzxyxzyzyxxzzyzyxyxxzzzyzzyyxxxxzxyzxzyxyyzxxzzzyxzyyzzxxzxxxxyzxyyzzyxyyyzzxxzzyyyxxzxxzzxyyzzyxxxxyzyzyzxyzxyyzxxyzzxzyxzyyzzyzzzzzyxyzyyzyzxzyyzzzzyxyzzxzyyzyxxxyxxyzzzxyyxxxxyyyzzxxxzxxyyyxzyyzyzxzyzxzzxxxzyyxyxxxzxzyyxxyzxyzxzyxzzxzzzxyzyyyzxzxyzxyzxzyyyyyyyzxzzyxzzzxyzyzyxxyzyzxxxyyyyyxyyyzyxzxzzzzyyyzxyyxyyzzxzzxyxyxyyyyyxyxzyyyyyyzyyxyzzzzxyyzzxyxzyxyxzxxyzxxxzxzxxxxzzxzyyzzzzyxyyxxxxyzzzzyxzyzzxzxyyzzzzyyxzxzxyzzzyzyxyzyyxxyyzxzxxyzxzzyxyzxzxzxyzxyzzzyxxzyyxzyzyyxyyyyxzxyyyzxxzxxyyzxyzzxyzyyzzyxxyyyyzxxyxzyxzzzzyzxzxzxzzzyxzyxyxzzxzxzyyzyyxzxzyyxxzyxxyxzxyzyyxzzzxyzxyxxzzzyyzyyzzyzzxyxzyxzzxyzzzxxyzxyxyyxxxzyyxyyyyyzxxyxzxyxyyzzxxyyxzzzzzxzzyxzyzyzyxyxzyxxzyzyxzyxyyxxzzzxyyyyxzyyyzxzyxyyzxxzyzxzxyyzyxyyxzzzzzyzyzzzzyyxxzxyyzxyzyyyzyzzxzxxzzxyyzzyzxxyxyyyzyzxyyxzxyxyzzzyxzxyzxzxzzyxxxzzxxyyzzyxxxxyxyyxyzxzxzyyxyzzzxxyzxxzzyzzxxxxyyyzzyzyxyxyyxzzxzyzyyyxxzxxxzyyxzxzyzyzyyzzxxxxxyxzyxzzxyyzxxzyzzzyyyyyxyxxyzzzzxxxxzxyzzzxxxyyyyzyzzxxxxyzxzyyyzyxxxzxyzzzzyyxxxxzxzxzzxyzxzyzzxyzxxxxxyxxyyzzxxyyyzyzxxyxzzyzyxyyyzxyzyxyzxyzxyzyyyzxxyxxzxxxyyyzzzyxyzyyxyxyxxyxzzxxyyxzxxxzyxzxxzyyxxxyzzyzxzxzzzyyxyyxzyzxzxzxxyzxzzxyxxxxxyyxyzzyxyzzyxzxzxxyzyyyxzxxxxxyzzyxyxxzzzyzzxzzxxxyxxxyyxzxyxzzyyyyxyxxxzxzyyxzxyzzyxzyzxzzxzyyyxxyzzxzzxzzxxzyzyyzxzxxyyxzxzyxxyxyzyxzyzxxzxyzyzyxzyxyxzxzyxyzyxyzzxxyxxxzzxzyxxxyzzyxxyxxzxxzyyyxxxyzxyyxyxxxxyzyxxyyxyxyxzzzxxyyxyyxzxyzxyzxzxyzxzzzyzzxzyyzyzxzyyzzyxyxxzzzzxyyxyzyzzxyyzyzxyyyyyzxyyyyyxyyzyyxxyyzyzyyzyyyzyzyyxyxxzzzyxyxyyyxyyxxzyyzzyzxxxxzzyyzzxyzzzyxxxyzzxyxzyxxzzxxxxyzzyxzyzzxzzyzyzyxxzxzzxyxxzzzxyyxyxxzzzxyyyzxxxzzyyyyyxxyxxxyyxxzxxyyyzzzzyxxxzzxzzyzzzzxxzxzzxxxxxyzyxyzyzxyyyxzzxzyzxxzyxzxyzzzzzyyyyyzzyxzzyzyyxxzyxzzyxyyxzxxyzyzzxzyxzyxyzyzyxzzzyyyxyzzzxyyxyzyxxyxxzzyxyyzxyyyyxxyxyzyxxyzyxyxxxxxyyyyzxzyyzzzxzxzzxzyxzxzzyxyzyxzyzxyyyxyzyyyyzyyyzyzxzxzzxyxzzxyzyyxyzzzyxzxzxzzyxxzzzxyyzzxzxzzxyyyyyxzzxzzyxzxxyzzzxyxxzzxyyzzyyyxxyyyxzzzxyzxyxyxxzxyxxxyyyzxyxyyzyyxyyyzyxzzyyxyxzyxyyyxyxzyyxxzzyxzyzxxzzyyyzzzyzxyzyzxzzzxxxzxyzxzxxyxzyyzyxzxxzxzzzyxxzxxyxyzxyzxxxzxzyyzyzzyxzyxyyxxyzzzyyyyxyxyxxyyzyxzzyxxzyyyyzzyzxzxxxzyzzzzxxxxyxyzzyxxyxyzzxzyyxxxxzyzxxyxxxyzxxyyyyxxxxyyzxzxyzzxxyzyxyzxxzxyyxxzxxxzzzyzxxyxzzyxzxyxxyzzzyzxxyzxyxyxyyxzxzxzyxyyyzxxxxxzzzyyyxxyyxzxxzzzxxzzxyzyzxzxyyxyyxxyzxzxzyzyxyyzzyyxzyzzxzyyzxyzxyyzxzxzxzxyyxzyzxxzzyxzzxzzyzxyxxxzyyzxxyxxxzyxyxxxyzxyyxxzzxxyyyyxyxxxxyxxyzxyxxyzzyzyyyzyyxyzxxxyxyyxzxzyzzzzyyyzyyzzzxzzxzyyzzyxyzxzxzyxyyyyyzyyxzxyxxzzyyzxxxyyxyyyzyyzzyxxzxzzyxyyxzzzzzxyxyyyyyxzzxxyxzyyxxxxxyzxzxxxxxyyyyyxxxzxyzyyxzzzyzxyyxzxyxyxxyyyyzyyyxxxzxyxyyxyyyyzxzzyzzyxyyyzxyxxxzzxxxxxzzyxzxzyzyyxxxyxzzzyyzzzyzzxxyyzyxzzzyzyzzxxzzyzyxzzzzzyyyzyzxyzyyxyyzxzzxyxzzzyzzzzxxyxyxyxxyxzxzyyzzxxyxxyxxyxzzyyzyzzyyxzyyxyxzzxyzzyyxzyzzzyzzzxzyzyyzzxxyzyxyxyzyzxxxzzxyxzyyxyyxxxyyzyzyxyyxyxxzxxxyyxyzxzyyxzxyyyyzzyxxxyyxxyyyyzyyzyzxzyyyzzyzyzyyzyzxyyyyzxxxxxzzxxzyxyyyzyxzyxyzyyyyxyzyzxzxxzzyzyyyyzzyyzzyxyxxyzyxyzxxxyxzyzzxzzxyzxxyzxzzzzyxxxzyyzzyyxyxxxzzzxxxxxzzxzyyyzyzyxxxyxyxzyyxyzyyxxyxyzzxyxyyzyxyzxxzzxxyxyxzyxxxzxzxzzxzzxxyxxyxzyxzyyyxzyzzyxzxyyyxzyzxzyzzyxyxxxzxxyzzxxyzzzzyxzyzzyxzzxxyzxxyyzxyyzyxxxyxxxxzzzzxyzxxxyxxzxxzxzxxxyyyzzzxzyyzyxxzyxxzyzxyzyzxyxyyzzzzxyyxzyyzzyxzyxyzyxyxzyyzyzyzzxzzyxxyzyxzzzxyzyyzxzyzzyzzxzxxzzzzzyxzzyyxyyyzyxxxxxzzzzzxxzzyxxzzyzzyxxyzzyxxzyxyxyxzxzxyyzyxyxzzxxxxzzzzyxyzxxxyxyyxxzyyyzzxxyzzyyyxyzyzzxyzyyzzyyxxyyxzzzyyyzyyyzzxyxyxxzyzyxyxxzzzzyzyzzzzzxzyzyyyzzxzxyzzyzzxxyxyxxyxyzyyyyxxzzyyzzxzzyzxyxxzxxzzzyxyzxyzzyzxxxzzyxzyzzzzzzyxzyyyzzxzxyyzzxxyyxxyyxzxxzyyyxyxyzyxxxxzzyyxyxyxxzxxxyzyzxxzyxyxxzyzzxyxyxzzyzzyzzyyyzzyzxyxyyyyxyyzzxzxyxyzxzzyyzzxxzzzyyxxxyxxxyzxxzyyxyyyzyxyzzxzzxyxxzxzzzyxxzxyzyyzzyzxxxyyxyyzyxxzxyyxxxxxyzzyzzxyyzzyxzyxzzxzzzzxzzyxxyxzxzxyyyxxxzyzzzxyzyzyxzyxxzyxxxyxzxxxxyyyyzzzzzyxyxyzxxyxxxyzxxzzzyyxxzzyyzzzxzyyxxyxxyxxyxyxyyxzyxxxzyxzzxyzzzzzxxxxyzyxxyzyxyxyxyzzxyxzzxxzyxxzzyxyzxzxxyyxzzyyzyxzxyyyxxyyxzyyxyxxyyzyzyxxyyxzyzyzzxxyzxzxxxzxyyzyxzxxyzyzyzzyyyxxxyxyxyyxxzzxyxyzzzzzyyzyyyyxyxyzxyyzxyyxyzyzxyzxyzyyyzxzyzxxzxxxzzxzyzyxyyyxxxxyxzzzyzxzzxxxxxyzyyyzzyxzyzxxyyyzyyzzxxyyzxzxxyxxxxxzzxxxzyxxzzzzzxzzzyzzzxyyyxxxxxxyxyzzxyxzyzyxyzxxzyzyzyzyyyzxzyzxzxxzyxxxzzzzyzzzzyzyzyzyxzxyyyzxzzzxxzzyzzzxxxzyzxzxyxxzzxxzzyxyxzxxyzxyyzyxzxyyxxxxzzyxxxyyyxzyzzxzxzxyyyxyxzzyxzxyzzxzxyyyzxyxxyyyxzzzxxyzzzyyxyyyxzxzzyyxxxxyzyxyyxyyzyzzxxxxzxxxzzxyyyzyzxxyyyxxyzxzyyyyzzzxxyxzzzzyzyyzyyxxyxzxzxzyzyyxxxzxyzzzyzxxzzyzxxyxxzyxzyzzyyyzyyxxzyyzzzyzyzzyxyxyzzxzxxyxyyyxzyyyxzxzyzzyzyxxyxzzzzyyxzyyzxyyyzyyyxxxxzzyzyxxxxzzxzyzyxzxxxzzxyxzxxxzyyyyzyyzzzyzxxxxyyzyzzxxxxxyyxyzzyyzzzyzyyzyzxyyxxyzzyyxzzyxxyxzxyzxyxyzzxxzxzxyzyzxyxzxyzyxyxzxyzyxyxzzxxyxxzzxyxxyyzxxyxzyxxyzxzzyyyxxxxzxyzzxzzyyyzzzzxyzzyzxxxzzyzxzxyzyzyyzyzyzzyyyyyyzyxyzzyxyxxzxxxyxyxyzxzzxxxzyyxzxzyyyzyxyxzxxyyyzyxxxyyyzzzxyyyxyzzxxyyyxzyxzyxzzxzyyyzyyyyzyzxzyzxyyxxyzzxyxzzxxxyxzyzyyzxzzzxzxxzxzxzyzxyyzzzyzxyxxzyyzxyyzzyxyzyzyzxyzzyxyyxxzxxxxzyzzzzyzzxxyxxxzyzxyyzxzxxzxxyxzyyzzyzyzzxzxxyyyyzzxyzxyyzzyxyyxxxyzyxyxyxzzxxxyyyyxyzyyyxzxzxyyyyzxzyyzxzzzyyxyyyxxxxzxyxxyzxzyxzzyxzzxxzxyxxxxyyzzyxxxyyxxzxxzyyzzzyzxxyyyzzyyxyxxxzxxzxyyzyyyxxyxxxzxyzzzyxzyzzxzzzzxxzyyyxxzzzyzyxxzxyyyxzyzzxxyyzyyxzxxxyzzyzxzyxzzzxxxzzxxyxzzzyzyzyyzyxzyyyxzyxyyxzxzzzzyzyxyzyyzzyzyxzyzxzyzxzzxzyzzxxzxyyxyzzyzzxxxxxzyyzxzyyyzzxxzzyyzxxzzxzxxxyxyzyxyxzzxyyxzyzxxxyyxxyxzxxyyyzyxxyyyxyxyxyyyzxxzzxzzzyyyxyyzxxzzyzxzzxyzxyzzxzxyzzyxzyzyzyzyyxzyzyyyxzxzyyyxxzyxxyyyzzxzxxxzzyyzxxyyyxxxzxxyxzzzyyyyzyxxyyyyxyxyzzzzxyyzxyyxyzyxxyxxxxyxzxzyxzzyxyxyyyxxzyzyxyxzyzxyxzyxyyxxxyxzzxxyzyzyxzyzyzxyzxzyzzyzxzzyzxxyyyxxzxzzzzyzyyyyyxxyyxxxxxxyxzxzyxzzxyxyzxyxzzxzzxzzyzyxxxyyyyzzyxyzxyzxyxyxzzyxyzzzzzxzxzxyzzyzyzzyxyxzzyzxyyzzxzzzzxzyzzzxzyxyzxyzyzxyzxyxyyxyzyyxyxxxxzyzyxxxzyyxzzxyzzyzzxzzyyxxxzxyxyzzyyxyyzxxzzxxyyyxxzxyxxxxzxxyzxzxyzyxzyzxzzzzxxxzzzxzxzzyxzxyzzzxxzzxyyyxxxyxxyxxyyyyyyyyyyxxyyyzxxxzxyzyzzzzyzyzyxyxyxzyxxxxxzzyzzyxxyxyxxyyyzzzzxxxxzyyxzzyzzxzzxxxyyxxzyxxyyzzzyyxyzzxxyyyzzzzxyyyyxxzxxzyxxzyyyxzyxyzxyzyxxzxyxyyyyzzyxyxxxzyyxyyzzxzyyzzxyxyzzxzzyxxyzxyzyyzyzxyyyzyzxzxxxzzzzxzxzxzxyxyyyzzxzzxyxxxyyxyxyyzzxyxxyyzzyzxzzyyyzxyzzxyyxxyxzxzyyzxzyxyyyxxyxxzzyyzyzyxzxzzzyzzzxxzzxzzxyyyyzyzxzyyzxzyyyyzzzyxyyxxyyyxyzyxyzyzyxxxyzxxzxxyyxzxxzxzyxxzzyyzyzxzyzxxyxyyxxzyxzyzzxzzxxyyxyxzxzyzzxzxxxyyyxzxyxzxzxxyyxzyxxzxzxzzyzxxyxxxzzzzyyzzyzxzyyyyyxxxxyxyzxxzxxxzxyyyzxyxxxxzzxyzxxyxyyxyyzzxzyxzzzzxyxyzzyyzxxzyyyyzxxzxyyzzzxzzyzzzyzxyyzzxzzyxzzyxyzxyyxyzxzxyxxxzzyxzxxxxzzyxzyyzxxyxyxzxxyzzzyxxxxyyzxxzyxxxzyxzzyzzxzzyxzzyyzxyzxyxzxzxxxyyxzzyxyyzxzzyxzyzyxzxzxzxzyxxyzyyzxxyyzxyzzyxyzzyyyxyzxyyyyxzzyzzzyxxxxzyzzzzzxyyxzxyyxzxyxxzyyxyzzyxxxxzxzxyxzyyyxyxxxzyyyyxzyyyzzyyyxxxxyxzxyyyxxyzzyzzzxyzxzyzyxxzxyzzzxxyyyyxzzxxzxzxyxzxzyxzxyxzxzxxyxzzyyxzzxzyyzzzyyxxyxxzxyzyzzzxxyzyxzzyzyzxxzyyyxxxxyyxxxyyxyyxyxyzzyxxzxzyyxyyzyyyzxxxzxzzyyxxxzxyxyzyzzyzzzzzzyyyyzyyxzxzxzyxyyyyzyxyyzyxzyzyxzxxyyxxzzyyyzyyxzyxzyzzxyxzxzxzxzzyxxyzzxxyxxzyyyyzyyyzzxxzyxyxxxyzxxxzxyzyxyyxyxxxxyyxxxzzzzzxzzxxyzzxzyzzzyzyyzyxyzyxxzzzzzxzyxzxyyyxyzxyyxzxxxxyyxzxxyzyyxxyzxzxxxzzzyxzxzyzyyyxyzxxxyyxyyyyxxzxxyxxyyzzyyzyxzyyyzxzyzyxyyxzyyxyyyxzyyzzyzzyzyxyyzzzxzzzxzyyyyxzyxzzzzyzzxxzzzxxyyzyyzzyzzyzyxyyzzzzzyxzxxzzyxyxzxzzzxzzxzxxzyyzyzxxyyyyzyxxzyzzyxyxzxzyxyxzyxzyxyxyzzzyxxxxxyxzxxzxzzxyxyyyzzyzyzyzyzyxxyxyxyzzxyyxyxyyxyxxyzxzxzyxxyxxyyzxyzxyyyyyzzzyxxzzzzzxzyyxzzxzxxxyzxzxzyxxzxyyzzxzzzyyzxxxzxyzyzxyzzzxxzxyyzyzzxyzyyxxxxyyzyzxxyzxzyxyyzyxxxzxzyxxzxyxzxzyxxxyyxzzxyxxyyzzxxxxxzyyzzxxxxzxxzxzxxyxyxxzxyyyyyzzyyzxzzxzxzzzyzxzxyzzzzyyxyxzxxyzzyxzzyyyzyxzxzyyyzyzzzzzyxzyyzxzxzzxyzzxxyzzzyxzyyxyyxzzyyyyyzyzyzyzxzxyyzzxyyyxyxyyxxxxzyzzxyyyyzzzxzzyxxxxzyxzzxyxxzzyzxxyzxyxxyxyzzyxxzxyzzyxzxyyyyyzyyxxxyxxzyzyxxyzxxxzxyxyzyxyyyzyzzyyxyzyxyyzzzzyxxxzzzxxxxzyzzzxyyyzxzzzyyyxzxzxzxyyzxzxxyyxxxzyyzzxyzzzzyxzxxyxxzzzzyyxyyzxzyxxyxzzyyzzyyzyxyzxxxxyzzzyxzzzyyxzyzyzyxyzyxyxyzzyzxyyzyxzzyzxxyyyyzxyzyxxzxxyzyxxyxyxxxxyyyxyxxyyzxyxxxzyzxyzxyyxyzyyxyyzxxxyxyyzzzyyyyxyyzyzyyzxyyyxzxyzzyyyzxzyxxyyzzyyyyzxyyzxyzzxyxyzyyzzyxxyxyxxyxzzyzyyyyyzxyzzzyzzyzzyxzyxzxyxxyxzxxzyxyyxxzxxyzyyxxyyxzyyxyxyzzxyxzyyzzzzyxyzxyyzxxyzzyzzyzzxxzxyyyyzyzyxxxyxxxxxxyyxzxzzxzzxzzzxyxzxyxzxxyzzxzyyxxzyxzyxyzxyxxxxxyzyzxxxyxxxyyxzxyzyxxxxzxxzyxyxyyxxzyzzyxxyzxxzzyzxyzzyzzyxxzyyzyxyzyxxyxyyyxyxxzyzxyyyxzxyzxyzyxxyyxzxxzzyzxyzyzyyxxzzyzzyzzyxxzzzxzxzyzyyxzxyxzyzyyxyzyzzxyxxzyyxzxxxxxyxxxxzxyzzzxxxxyyzyyzzyyyxyyzzyzzxyxxxxzxzxzyyyzyyyxzyzzxzzyyyyzxzzxxxxxyyyxxxzyzxyyxzzzzzyyxyxyzzzzzyyyxyxxyzxxxxzzyyyxyzyzyxzzyxyzyyxzyyyzzzzzzzyyxxyyxzxxzxxxxxzyyxzxyzxzzxyyxxyzyxxzyzxzzyxzzxxzzzyzxyyxxyxyyxyyzxzzyyyzxxxzxyyyzxzyxyxxyyzzyyyzyyxxyxxzxxxxzxzxxzzxxxyzxzyxyyyzxzyxzxxzxxxxyxyxxzzyzxzzxxxxzyyyxzxxxxyxzyzyyyyxzxzzyyyzzzxzzxxzyzyzzxyxzzxxxyzzzxyzzzxyyzxyyyxzzyxxyzzyyxzzzxyzyyzxyyyyyzzxyyyxyzzxyxyyyxyzyyzxzyzyzxxyyzxzyyyyyzzzyxzyzxxzzzzzyyyzzyzyzxzzxyxzxyxzxzxxzzyxzzzyxzxxzyxyyyyyxxzxzzyxzxzxzzyxyyyyyzzzyxxyyyzyyyyyxxxyxyyxzzzyxzzyzxxxyxyxyzzxzxzxyxyxyxyxxxxyxzxxxxyxyyxxyzzzzzzxyzxzxxyzxzzzxzyzyyzzzyxzyxyzzyxzxyxxyzyxzxzxzyzyxyzyxxxzxzyyxzyxzxzyyzyzzxzyzyyzxyxxyyzyzzxxyzyzyxxxyzzyyxzxzzzyxyyzxyyyzyxzzxzzxxyzxyyxzxxyyyzxzyxyzyxzzzxyyzxyxyyyyzyzzyxyxxzxxyxyyxxxxyxxyzyzzzxyyxxzyyyxyzxyxyzzyxxyyxxyyxyzzyxyyyzxxyzxyzyxzzzxyyxzxxzyxzxyzyzzxyxyyzxzyyzzyyzxxzxxxxyzyxyzzzzyxzzyyxzyzzxyzyzzxxxyxxxxyxxyyzyyxyxzzzxzzzzzxyxxzzzzxzxzzxxyyyxzzyxxxyzxzzzxzyxyzzxzyxxzyxxxxzxzzxzxyxyzxxyxyxzyzxxzxyyzxxyyzzzxzxzxzyyyyyzyzxzxxyzxxzxyxxyyxxzyyyyxyxyyyyzxyyyyyzxzzxyxzxzzyyxyyzxxyxxxzyxzzzyzzxxxzyzxzzyxyxyxyyzxzzyyyzyyzxyyzxxxzyyyyxxzzxxzzzzyyxyyzxxyzxyxzyyxzyxzxxzyyxyyyyzyyyzxyyzxyxxyyyxxyyzxzxyzyyyxyxxxyzyxxyzxzyyyxyxyyzxyzzyzyzyyzyzyxyyzyzyxzzxzzxxzxzxyyzyyyzyxzxyyzxxxyxyxxyxxxyxyxzyzzxxzzyyxzxzyyxyxxzxyzxzyyxxyyzyzzzyzzxyyzxxxzyyzzyxyxxzxxzyzzzyxzxyyxyzzzxyyyxzzyyyyxxxyyzyzxzyzxzzyyzzyyzyyyxzxxyyyzzzyyxyzxzzyzzyzyxxxyxxzyzxxyxzyzxyyyxyxyxzzzxzxyzzyyxxyxyyyzyyyxzyyyyxzxxxxxxzxxyyzyyzzzyyyzxyyyzyxxyxxzzyzzzzxxxyxzzzyzxyyzyzzxzxzxzyzxxyxzyxzzzxzzzyyzyxyxzzyxyyxxyxzzyyzzzyzxxxzyzyxzyyyxzyxzxzzzyyzxzzzzxxzzxzzzyxxxyzzxzyyxzxzxxzxyyxyyzyzxyyzxyyzxxzyxzyxzxzxyyyyxzxyxyxzyzxzxzyzzyzxzzyzzyxyxyyzyxzxzzxxxxxzzzzyzyzyzyzzyyyzyxzyzyzxxzxxzxzyxxzzxzzxxyyxyzzxyyyyyxyxxxxxyzyyzzxzxyyzzyyyyxxyyzzyxyzxzyxyyyxzyzyxzzxxzxzxxxyyxyxyzyyyzxzyzzyxzyyxyyxzxyzzyxxxyxyyyyzxyyyzxzzyzzyxxzzyyzyzzxxyxzzyzyxxzzzyxzzzyxyyyyyxzzyyzxyzyxyyyxyxyxzyxxyyyzzxyzzzyyzzxyyyzyxxzzyzxyyxzyyzzzxzxxxzyxyyzyyzyyyxzyxxxyxzyyyyyyxxxzzyyyxyzyxyzxxyyxyxyyzyxxyzxzxxyzxxzyyxyyxxyyxyyzzyxyzxxzxyzyxxzxyyyyxyyyxyxxxxzyxzzzzxzxyzzyxxyyxzyxxyxzyyyzxyzxxxxzxxyxzxyzxxyyzyyxxyyyxzyzyzyyxzyxzxyxxyzzxzxyxyzzzyxzyxyyzxxyxyyxyyzzyyxyzxyzzxzzyxxxzxxzzzyzzzxzyzzyzxzyxyzxyyzxxxyxzzxzxxyzzyyxxyxxyyxxzzyxyxzyxyzzzzyxyyyzzyyzzyyyyzxxzxzzxxxzxxyxzxyzxxyxzzzyzyyzyyzxyzyyxyyyzxzyzzzxzxxzxyyyyyxxyyzxzxxzxzxxxxxyzxxxzyxxxzyyxxxxzxyzxzxxyyyyzzyxxzyyyyxyyzxzxxzzxxyyyzzxzxzzzxxxyzxxzzxzyzxxyzzxzyzzzxyzxxxzyzxzyyxzzyxxxxyzzxyzxyxzzzzxzyzyxyyyzzxyzyyyxxzxyxzyxzxxxyzxxxyyyxxxxyzyyzzzzzyzzxzxxxyyzzxyxyxxyzyzzxyyyyxyxzxzxzyxxzzzyzzzyyzzzyzzxyyyxyyyzxxzzzzzyyyyyzyxxxzxyxyzyzyyxyxyyxzxzzzxzyxyzxyyyyxxyxxyyxzxyzzzzxyzxzxyzyzxzyyyzzyyzyxzzxzxzyxxxzyxzyxxzxyzyzxxxxxyzxyyzxxyxyxzxxyyzxzxzyyxzyyzyzxxxzyzyxzzzyxyxzyxzyxzxzyzyzzxyyxyxxyzzzxyzzxxzzyxzxxyzyzxyzxyxyyyxzzxxyxyyxyxxyxzxyyyzzyzyzyyxyxxxzzxzyyyyzxzzxzxxxyzyxzxyxyzyxxxyzxyyyyzyzyzzyxzxxzyyyzxzyyzzzxzyyyyxxyxyzzxyyxxxzxzzzzyzyxxyzzxxxxzzyyzxyyxxyzxxzyyzyzxxzzxyxxxxzzxxxyyxxxxyyzxxyyxyxyxyyyxxzxyyyzyyyyxzyyzzxyxxzyzxyzyyyyzxxxyxzyyzyyzzyzzyzyyyyzzxzxzzzzzxyzyzzyzyxxzyzyzxzxzxzxzyzyxzyzzzxyzzyyxyyyyxyzzzxzxxzzzyyxyyzyxyyzxxxxzzzzxxxxzyzyxzzxyyyyzxyyyzyxyzxzxyyzxzyxyyyyzyxzxyyxyyyzzyxyyzzxyxxzzxxzyyzyxxyyyzyzyzzxxxzzzzyxzzzzyxyzyzxxyxxzyxxzyxyzyzxzzxxxxzxzxzxzyzyzzxxzzxxzyzxyxyyxxzyzyxzyxzzxyxzzzxxzxzzyzxzxyxzzzzzxyxxxzxyyxxzxyxyzxxyxzzyzyzyxzzyzzxxxxzzzzzyzzzzyxxxyxxyzxyxzyxyxxxxyyzyxxzzyzyyyxxyzyxyyzxyzzyzyzxyyxyzyzyyxzzxzyxyxzzxyxzxyzyzzxzyzzxyzzxyyxxzyxzxyyxyyyyzyzxzzyyxxzyzzyzzzxxyzyxzzyzxyxzxxyzxzzzxyzzzxzyzyzzxzzzyyyxzxzxyxxzyzzyyyzyzxyxxyzzxxxzyxzzzzxzyyxzyyzzyyzzzyyzzxyxxzzzzxzzxyzyxzzxyyxxzyyyzzyyxzyyxzxxzyxxyyxxyxzxxxzyzyxyxyyxyyzyzxxyxyzyyzzyxyyzyzxyxzyxxyxxzyxyxyyxxzzyyzyyzxxyyyxyzyxyyyyzzzzxzyyzxyyzxzyzyxzzzzxxzyzxxyxzxxxxyyxyzxyzxzzxxxxyxzxyyxxzyxxzzyxyyxyxzzxzzyxzzyyxzzyzxxzyyzzyzzxxzyyxxyyzxxzyxzzzxzxzxzzyyyyyxyzxxxxzyxxyxxxzxzzxxxxxzxzzxxxzxxzxzxyzyyxzzzyyyyzxyyyyzxzyyxxyyzxxzzxyzzyyxyxzzyyyxxxzxxxxxyzyxxzxxxxyzxyyzxyxxzxzxyyzzyzyzyyyzxyzzyyyyzxxxyxzyyyxyyzzyzzxxyzzyyzyyzxyxyxxzxzyxyzyxxzzxyxyxyyyzxzzxxxzxyyyxyzyyzyxxyyzxyzyxzxxxxyyyyzzzzzxxxxzxxzyzyzyyyzzyxxyzzxzyyzzzyyyxzyxzyyxzyyzyyyyyyzzxyxxyyyzzyxzzzxxzyxzzzyxxyyxzxyyxyxyxyyzxyxyxxxzxzzzzyyxzzyzxzxxyyzyzzxzyxxyyzxxzxyzyxxyzyzzxxyyxxxzzzyyxzxxyxzxyyyxyyzxxzxyxyyxyzyzxxzzxzzyxyzzxyyzxxxzyzyxzzyzyyzzxxxxzyyyyxxyyzxxzyxxxzyzzxzzzyxzxyzzzzyyyzzzxxzyyxyyzxzzyxyyxzxyzxzyyzxzyzxzzxzyxzxyxyxzzyxzyzyyzxzzxxxzzyzyxxyyxyyzxxxyyxyzzxxzzzzzyxyzzxxzxxyzxyyzxxzyzyxxzxxyyyzyxxzzzyyxyyzxyyxxxyzxzzxyxyyzxzzyyyzyzxyyzyzxxyxzzzxzxxxzzzyxxyzxyzxzzzzxzxyyzzyxxyyyyxzzzxzzyyxxyxxzyzzxyzxyzyyxyzyxxxzxxyxyzxyyyzzxyzyxxzxyxyyyxxyyzxxxyyyzyxxzyxyxxzyzxyxyyyxxyzxzxxyyxxxzyzxyxxyyxyxyxzzzzzyzzyxyzxyxxxzzxxyxzyyzyyyyxxzxxyyzyzyyxyyxyxxzzxxxxzxyyzxxyzzxzxxxyxyzxyzzzzyzxxzxzzyzxzyyyyyxyyxzxzyzyxyzzzzzxyzzyxzyyzzxxzzyxyzxyzxzyyzzzyyzzxyzzzxyzxxxxzzxxyxxxxzxzyxxzyzxyzzyxxxxzzyyyxzxxzxxxxyxyzxyxyxyxyzyzyxzxyyyxxyyyyxzzxzxyzxzxzxzyxyxxzxyyzxzyxyzxxxxzzxxzzzxxyyxyyxyxxxyzxyxyzxxzxyxzyzyzzzyyzzyzzxxxxyxzxzxxxzxyzzxxyzxzzzxzyzxzyyzxyzzyzyyxyzyyyzyxyzzxxxyyyyyxxzyyxyxxxxxxxzyxyzzxyzyyzzyxyzzyyyzxyzyxxzyxyxxyyzxxyyyxzzxxzyyxxzxzxyyyyzyxzxyxxzyyyxyyzxxxxyzzyyyzxyzxxxyxxzyzyzzzxyyyzzzxyyyyxzyzyyxzzxzxyyyzyzxzxxyxxzyzzyzxxxxyxyxzxxzzzyzyxzyyxzyyxxyxxzxzzxxzzxzyyyxzzzyzxyxzyyxxzyzxxyzzzzyzxyzxxzxzxxyyyyyxxyyyxzyzzzxxzxzyzyzyyyxzzxxxxyzxyyyyzzzyyyxzzzzxzyxxzyyxyzzyxyxxyyxxyyxzxzyzzxxyxyzyzzzyyzxyyyxxyzzyzzyyzxyzxzyzyyzzxxzyzyyyzyyxyyyyyyzxxzzzxzxzxyyyzzyxzxyxxxyzxzzzxyzzyxzxzxzzxxzzyyyzyyzyxxyzzzxzyxzzxzyyxxyxzyyzxyyxzzxxyyxzzyzyzxzxzzxxyyxzxyzxxxzyzxzyyxyyxzyyxyxzyyzzxzzxzxxxxxxxzxyyxyyxzxzxxyzyzyxxzyzxzzyxyyxyxxxyzyxzyzzxzyyyzyyyyxxyyxyzyyxyyzyzyzyzxzzxyzxzxzzxzyzyxyzzzzzxzyyzzyyxzzyyxzxzxyyzyzyyzyyzzxyyyzxzxxzxyyyyyzyxxxxxyzxzyxxxyyzxxxyxyyyxxxxzzzzxzxxzyzzyyzxzzxyyxyzyyyxxxyzxxxxzzyxxyyxxyyxzyyzxxyyzyzxzxzxxxxyyyxxxxzyyxzxxyyxyyyzzxzzyxyzzyyxxyxzyzzyyxxzyzzxyyyzzzxxyyyyxzyxzxxxzzzyzzyzzyyzxzxzyyzzxyxxyxxxyxxzzxzxxxzyzxxzyzzyyyxxzzxzxyzxxzxxyxyxxxzyxyxyzyzxxxyxyxzzyxzzzxxzzyzzyzxyyzxxyxxxxzxxxxzxzzzzzyyxxzyzxzxyyxxyzzyxzyxxzxzzyyyyyxxxxzxxyyyyzxyyzxxyxzzxzzzzxzyxxzzzxxyzxxxxxxyyyxyyzzxyxxzxyxyzzyxxyyyxyxzyzzxzxxyzyzxxyyxyxzzxzxzxzyzyzyyyzzxzzyxyyyxyyxyzyzzxxzzxxzyyzxxyxxxxxyzzxyzyyzyxxzzxxyxxzxyzyzxzxxyxzyzzyyyzxzxzyzyxyxzyxyzxzzxxxzxyzzzzxxxyyzxzyxxyzxzyxzxyzzxyzxxxxzyzxyyzxyyxyxyxyzyzyxyxxzxzzzxxzzxzzxzyzxxzyyyzyxyyyzyzxxxzxzxxzzzyzyyxzyyyyzyxyzxyzzyxyxzxyxyyyzyxzyxzxxyyxxzzyzzyzyyzxyyzxzzxyyzxxxxyzzzzzzzyyyyyyzxzzzyxyzzyxyxxzxyyxxyyyyzzxyyxyzzxxxyyxxyzzzxyxyxxxyxyxzzyyxyzzyyzyxxxxyxzyzzzzzxzxzyyyzxxxyxzyyzzxxyyzyzyxzyxyzxyzzyxyzzyzyyzyzxyxzyxxzzyyxzzyxxzyzzxyzyxxxzzzyxxxxxyzzzyzyyyzyyyxzzxxxxxzxxzyyzzzyyxxxxzzxyzzyxxxyzxyyxzzyxxyyzxyzzzyyyxzyyxzyzxxyzzyzyxzyxzzyxxyzxzzyxzzxzzzyzyxyyyxxzyyzxyyzyyxzyzzxyyzzzzxyyzyzyzyxxzxzxyxxzyzxzyyxyzxxxxyyxzxzyyyxzxzyzyyzyxyzxyyyxzyxyyzxzyzxzzyxxxyyzxyyyxxzyzyyzxxzzzyzyxyxxzyyzyyzzyxzzxxyxyzzzxyxzzzzzxxyyyyzyyzxxxyzxxzzxzyyzyxzyzzyzyzyyyxyxzxzyxyyxzzxzyxyyzxyzyzzyxyyxxyyxzyxzxzyxxzzyyyxxzzzzxzzzxyxyxxxzyyzzzxxyxyxyyxyyxxzxzzzzxyxzzxyxzxxzxzzxzzyyzzxyxxxzzyxyyxzzzyzyyzyzxzzyzzxxyxyxxyzyxyzyzyyzyyyxxyxxxzyxyzyxyzzxzyxxyyxxxzzzyyxzxzzzxyzxzxxyxzyxyxxzxyyyxxzzzxyzzzxzyxzzxzyyxyyyxxzxxzyyzxyyyzyzxyzzyyzxzyzzxxyzzyzzxxzxxxzyxyxxyxyzyyyxzyzxzzyyyxzxyxzyyyyyxxyzyxyzyyxxzzzxyyyzyzxyzxxzzxzxzzxzzyyyzzxzzxzxzxzzzxxzxzyxyyxyzyzzzyxxyxxxyzyyzyyyzyxyzyyzxzyzxxzxxxxyzyxzzyxyxxyyyzyzyzxxzyzxxzzyyzzxxxyzxzxxzzzxyzzxyzzxzxzyxyyxzzzzxxzxxzzyxxxyxxzyzyxxyzyyxzyzzzyzyxyxzxxxyyxxxyzxzyyzyxzyzxxyyxzyzyxxyzxyyyxyzxyxyxxzzzxzyzzyzzxzzzxzxyyxyxyxxxyyyyxzxzyyyzxyxxzxxxxyyzxxyxxzzyxxyxyyyxzxzxyzzxyzzxxzxxxxxzyzzzzyxxyzyyxzyzxxxzxyzxxxzyyzzxxyyyyyyyxzxxzxxyxyzxxzzyyxzzyyzxyxxxxxzzyxyxyxxzyxxxxyxzzyyyzyzxzzzyzyyxxyyyzxyxyxyzzxzyyyyyyzzyxyyyyzyzzxzzxzzxzzyyxzxyyzxzyxyzyxyzzxxyzxyzyxzyyyxxxyzxzyyyyxyyxzyxxyzxyzxxxzzxxxzzxyxxzyxyyxyyxxxxyyzzxzzzzzyxyxzxxxxyzyzyyyxxxzyxxxyyyyxxzzzyzzyzxxxzzyxxyzyxxxyyyzxzyzxyyyzxxzxzzyyyxyyzyyzyxyzyzxzyzyyyzyzyyzyzzyxzxyyxyxzzxzzxxzzyyzxxyxyxzyzzxyyzyzzyxzxzzxxyyyzyyyzxxxxxyyzxzyyzyxyyyyyyzyzxyxxxzxxxzxzzyxyzxxzyyyzxyxyxxzyzxxyyzxzxxxxzyyyxzxxxxxxxxzzyyxxzzxzyxxyxyxxzzxyyzzzxxxxzyxxzxyzyxzzyzzyzzyxzxyzyyxzxzyyxyyzzzxxyzxzxyzyxzyzyzzxxzzzzxzxyyxxxzzzzzyzxzzxxxxzzxyyxxyyxzxzzxxyyxzxzzyyyyyxxyzyyxxzxxzzxzyzyyzzyxyxzxxzzyyxyxyxyyzzxyzzyzxxzzyzyyyyyxyyyyyzxyzxyzyyxyzzyyyzyyxzxxzxzxyzyxyyxyyxyxyzxxyzzzxxzyxzyzxxyxyyxxzyzyxzxxxxyxxzxyzyzzxzyzzzzxyyxyxyzzxzyxyxxxyxxxxzyyxxzzzyxyxyyyyxxxzyyxxyxxzxzxyyxxxyzxxzyzzzyxyyxxxxzxxyxzyzzzyxxzyxzzxxzxyxzxxyxxzzxyzxyzyxxzzyzzxyzzyxyyxyxyyzyyxzzzzyzyxyzxxyzxxzzyzxxyxxzyxzyyxyxyxyxzyyzyzxzyxxyyxzxxzzzzxzyzxzzyzxzzxzyyxyxxxxzzyzxzyxzxyxzzxzzxyxzzxyzyzzzzyyxxzyxzyyzxyxzzyzyyxxyzzyxyxxxzzzyyyzyxxyzzxyyyyzzxxyzxxxyxzxzxxyxxzxxyxyyzyxyyyyzzzxyyyyxzyyyzxyyxzzyzyxxzxyxzzxzxxxxxyxxxzxyzxyyxxyxxyyxzzxzyxzzyzxzxxzzxzzxxxyzxyyyyxzyyxzxxzzxzxyyyzxxzyzzxxxxyxzzyzzyzxzzxyzxzzzyxzyzxzyzzxyxzzzyxxyzzyzyxyzyxzxzzyzxzzxyzzzyzxyyzxxxzxzzxyxyzxxyzzxzzyxyzyzzzyyxzzzzyxxxyyyxxzzzyyxzyzzzyxxyyyzzyzyyzyyxzzyyxxzyyyyyyzzyxxzzxzxyzzxzxxxzzxzxzxyxyxyxzxyzyyyyxzxxxxxzzyxxxzyxyzzxzzxzzxxyzxzzyzzzzxyxyxxyzxzzxzzzxzxzzxxxyyyxyxzzzyxyzyxyzyzzzyzyxzzxxxyzyxyyxyyyzxxzyzyyyxxzyzyzxzzxyxyyxxxzyzxxyyyzzxzzzyxyyxzxzyzxyzyzxyzyxxzzyzyzyxxzyxzzxyxzxxxyxzyxxzyzzxyxxyxzzyyzxxxxyyzxzxxyyyyzzyzxzzzzxzyxzxxzxzzxyyyzzyyyyxzyzzxyzzyzxyyzzyxxzyyzyxzyyyyyzyxyyyyzzyzxxzxyzzzxzyxxxxzzzyzzyzzzzxyzxyxzyzzzyyzyzzzzyxxxzyyzyxyzzyxzzzxyxxzzyzxyzyzzzyzyxyyxyzxzyyzzyyzzyxxzxxyyxxyzzyyyzyyxzxyxxyxzxzyyyyyyxzzyzyyzyyxzzyzyyxxxyxzzyyzxyxzyyzyxxxzzxzxxzyzxxyxyzzyyyyzyyyxxyzxzzxyxxyxxxzxzyyzzzzyxyyzzxzzzyzyxzyyyzyxxxxzzyxzzyzzxxzyxzxzyzzyzyzxyyzyzxxyzyyzxzzyyxyzxzyzyzyyzxxxyzxzxzyzyyxxxxzxzxzyxyzyyyxxyxyzxyyxyxyxzzzyxzyxyyxyxxzyzyxxxzzzyyxyyzzyyxzyxzyyxyyzzzyxzyzxyyyzyyzzzxzxxyzxxxyzzzyzzyzxxzyzxzzzzyyyxzxxyxzzzyzxxyzyxyyxyyyxyyxzzxyzxzxyzyyyzzzyxzyzzyzyyzzyyxzxyxyxyxzyzzzxxxxxxzzyyzxyyyxzyyzxzxzyyzzyzyyzyyzyzyyyzxxzzyyzyzxxxzxxyxyyzzxyyyzyxyxyzzzyyzxxxzyyyzyxzzxyyzxyyyyxxxxyyyxyxxyzzzxzyzxxxyzzzzzxxxxyzyzyxxyxxzxxzyxzzyzzxzxyzzyxxzyzyxyyzyyxzzzzzxxzxyxyyzzzzxyzzyyyzyzzxzzzzzzzzzzzyzxzzxxzzyxyzzxyxzxyzxxzxxxzzyxxzyxyyzyyyxyyzxzyxxxzxyxxxzzzyzzxyxyxyyxzxyzyyxyzxzzxzxxzxyzxxxzyzzxzzzxxyzxzzyyyyzxyzyzxyyyzxzyyzyxyzyxxxxyyzxzzxyzxyzyzxxyzxxzxxzxzyyzyzxyyyyyxxzxxzzyxxyyyxyyxxxxzxxyzxzzyxyzzxyzzxzyxyyyxzxyzzyzzzzzzyxxzyxxxyxxyzxxzzxyyyyxyyzzzyzzzyzyzxyxzzxyxzyzyyzzzyxxzzyyxzxxyzxxxyyzyxyxzzzzyyzyxzzzyyxxzxzxzxxzzxzxzyxzxyxzyyzyzyyxzyzzzxzyxzyzxxxyyzzzxzzyxzyxzxyzzzxyzyzxxxzxxxyyyzxxzxxxyyyxzyxyyzzzzxyyzxxyzxzxxxxyxyyxzyzyxyzzxyyxyxyzyyxxzxzxyyxzyyxxxyyxxyzzxzxyzyxxzxyxyxxzzxyzyzyyzzzzyxxxxyzyxxxzxyxxzzzyzzzxxyxxyxzxzyxyxyyyyyzxzzxzzzyxzxxxzzyyzyxzxzyyzyzxzzzxyzzzyzzzzxxyyyyzxyzyyyyzxyxzzzzyyzyxzxzyxxyzyzzzzyxzxxzxzzyzxyyzyyzzzxxyzyyxxzyzxyyzzxzzyxxzxyyxyxzxyxyxzzyzzxyzzxyyxxxzxxxyxyzyxxzyzzzzyzzzzxxxxxyzyxxxyyxyxyzxxyzxyxzzzyyyzxxzyxyzyyyzzyzzzxxzzxzyyzzyxyxyxzzyyyxzyxxyzxyzyzxyxyzxyxzzyzxzxyzxxzxzyxzyxzzzyyxyzxxzzzzyzzyxxzxzxxyzxxzxzxzzxyxxyzxxyyyyxyyyzzxzyxzzzyxzyyzzzyzxyxxxxyyzxyxyzyxzzzyzyyxzzyzxyzzyxxxyzxyzxxxyxyzzyxxxxzyxxyzzyyyzzxxxyxxxxxyyxzxzzyzxxzzyzzyyxxyzyxxyxzzzzxyzxzxxyyyzyyyzxxyzyxzzyyyyyzyzxxzzxyxzyzzzzyxyzzzxzxzxxzxyzzzyyyzzxyxyxyxxyyxyxxyzyzyyzyzxzzxxyxxzxyzxxxyxzxzyyzyxzzxxzyyzzxxxyxyxzzzxxzzyyxxxyyzxyxzyyyzzyxxyyzxxyxxxzzzxzxyxxyxyxyxxyxzzyzxxyyxyyxyyzyzxzzxxxzxxyxzxzzxyyxxyyxxxxxzzyxxzzyxyyyzzzyxyxxzyyyyyzzxxzyyzyzzxxxxzyzyzxxzxxxxyzyyyyzzyzyxzzxyzxzyyzzzzyxxyxyyxxyxxxzzyxxzyyxyyzxzyyxxxxzxxxzzyzxyyzzzzzyyyyyyzzxyyzyyyyxzyzzyyxzyzyxyzyyzyxxzyyyxzyyxxxxxyzzxzxyyzzyyxyyzxyzyzzxxyzyxxxyzzxxzyxzzyyyyzxyxyzxyzzxyzzzyzxxyxyyxyyzzzxyxxzzxzxxyxyyzxyxyyxxxyyyxzzzzyxzyzxzzxxyyxyxxzxzxzyyxzxxxzxyzzyxzyyyzzxzzxxzxzyzzxzyzxxxxyzxzxyxzxyyxyzyzxzzxyzyxxxxyxzyxxyyxzzyzxzyzyyyxxyzzyyxxxxxxzxyzxxyzyxyzzxyyzzzxxzyxyxyzyxxzyxyzxxzyxyzyxyyyxyyxxzxxyxxzzzxzzzxxyxxxyzxxxzzyxyxzyzyzxyxyyxyyxyzxyxyxxzxyyyyzyyxxzyyyxxyzyzzyxzzxzxyzyyxxzyzyzzxxzxzyzzzxxzyyxyxyxxxyxzzyzxxyzzyzxxzzzxyxzzyyzyxyzzxxyxyzyzzxzxyxyxyxyxxyzzxyxxxxzxyyzzyzxyzzxyzzzyzyyxzxzxxzzxyxzzyyzyzxxzzzyyxzxzxzyyzxyxxzyxxyzyxzzxzzyyyzxxzxyzyzzxxxxyxyzxxyyxxzyzzyzyxyyxyyxzyyyyyyyyxxxyyxxzyzxzyxyyyyzzyzyzzxzxzzxzxzxxyzxyyxxyxyxxxxzyxzyxxzxxzxxyyyxzzxyxxzxzxyyyzzxxxxxzxzyzxxzyyxxxxzyzzxzxzzyxzxxzyzzzyyyyxyyxyzxzxxzxzxzzyxzxyxyyzzyxzyxxyxzyxzzxxyyyxzxxyxzxzyxyzyyxzxzyzzyyyzzyyxxyyyyyyxzxyzxzzxyzzzyxyyyxzyzzxzxzxzzxzzzyxzyyxyxxzzxyzyzxyzyyyzzyxzyzzyyzxzyyzxxyzyyyzxzyyxxxzzzxyyxxxxxyxxxyyyzyyyxyxxzyxxyxzxxyzyyxyyxzxyzzxxyyxzzxzzyxzyyzxxyyyxzyxzxyxzxyzzxyyxzzyzxxzxyxxzxzzyzyzzxxxxyzzzyyyzzzxzxyxzxzxxzyxzyxzzxxyyyxzyxyxyxyzyxxzzxyyyzyxyzxyzzyzzzyyzyxyxzyxxzxyxyxzzyzyyzzyyzxzyxzyyxxxyzxzxxxyzyzxxyyxxxxxzyyyxyyyzxyzzyyyxzzxyyzzxxzyxzxzzyyyxxzxzxyyzyxxxzxxyyxyxyxyxzxxzzxxxxyyxyyzzzyxxxyxyxxxyyyyxzxzxxzxxzzzyyxzzyzxxxzxyzyyzyzyxxzzxxxzzzyxxyyzyyxyzxzzxxzzyxxzxzxzxzzxyyyxzxxxxxzxzyxyyzxyxzxyzzxzyzxyzzxzzyyxyyxxyyyzxxxyyyyzyzzzzyyzzzxxxxzxxxxxzzzxyyzxzzyyxzyxyzxxxyxxyxxxxyyyyxyxxyxyxyxyyyxyyyxyyyzzzzxyzyxyzzzyxzxyxxzxxxyzxxyzyyxzzzzxyyzxxzxxzzyzxyzxyxzzyzxyyyyzxyyxyxyyzzzzyxyyxxxzyzzzxyyzzyxxxxxyzyyzzxxyxyxzxyyxzxyzyzyxxyxzyzyxxxxzyxzzxzzxxyzxyzxzyyzxxzzxzzzxxyyyyzyxxzxzyxzxyyxyzzyxxyzxyyzxxzzzzxxzxyxyzzyyxyzxxyxyyyzxzzxyxxxzzyyyzxyyzyxxzzxxyyzxzyxzxyzzxxyyxxyyxxzyxyzyzyzyzxzzzzxyzyyxyxzyxyzzzyxzxxzxxzyzzyyxyzzyxyzzxxxyzxyyxyxzyzzyyzyyzxzzzzyzzyxxyyyzxzxzxzzzzzxzxzzxyzxxxyxzzxyzzzxzyzyzyxzxxyxxyxyxzzzyzyxzzzyyzzzxzxxzzzyzxxxxyyxzxxyzzxyzxyxzyzyxxxzyzzzyxyyxyzxxxxyyyyxxzzzyyyzxxzzzxxzxxxyzzxxzyzzxzyyzzzxyzxzzxzyzyxyxyzxyyxxxyxyxzyzyzyzyxzxyyzyxzyxzzyxxxyyyzyyzyxxxzxyyxzxxzyxyyxzyxyxxzzxyzyxxyyyzyxxyxyxxyzzzzyxzyzyzxxzyyzyxyzzyxyzyxyxxzxxxzyxzyzzxyyzzyzxzyxzxyxyyyzxyxzxxyyzxzxyxyzzyyyzyzyzzzxxyzzyxyyxxyzxyxzyxzzyyyxzyzxyxxxyxzzyzyzxyzzxyxzxxzxyxxxyxyzzyzzyxyyyxxyxyzxzyyyyxyyyxxxxzxzyyyyxzyxyzyzxzzzyzxzyyyzyyxxzzyyyyzxzxzxzzyxyxxxzzzxyyzzyxxxxzxzyzzzzyxxxyyzxxzxzzzyxzyyxzzzyyzyxxzzyyzxxxyyxxxyzyxxyzzzxxzxyxzzxxxxzxyyzzxxxxzxxyzzzxyxzyzzyxzzyzyzzyzyyyxzxxzxzxxxzzxzyzxyxzxyyzzyzxzzzzzxxzyxyzyyxyxxzxyyzxzyyxzxyyxyzzzzxyyyxzzxzyyxzyxxzzzyzzxyzyxyyxzyyyyxxxzzzzzyzxxzzxzyzxxyzzzyzyxxzzyyyyxzxzzzzzxzyzzxyyxyzxxyxzzxxzyxxyyyyxzzzxxzxyyxzyzyxxyxxyyyzxxyzzyyxxzzyyzyzzyzxyzzyyzzxzzxyzyzyyzxzyzyzxyxyzzzzzzxzxzzyyxyyzzyyyzyyxzzxzyyzyzyzxzyxzzzzzxyxyyxzxzxxyzzyyyzxzxzzzyzxzyzyxzxzxxzyxxyxzzzzyxzzxxyzzzyxzxzxxzxxzzzyzzxyzxyzxxxxzyzyxyxxzzxxxxzxzyyxyxyyyxyyzxzxyyxyxyzyyzyzzxyyxyyzzxzyxyyyxyxxxyyxyxyyzzyzyxxxxxyyxzzyyzxzyzxzzzxyyzyzzzyxxxxyxzxyzzxyzxzzzzyxzyzzxxzzxxzxzyzzxyzyzyxyyyzxzzyyyxxyyyzxzyyyyzyxxxzxyyxxzxyzxzzyyzxyxxxxyyxzzyxxyxyyxxxxxyyzyxzxxxzyxzxzxxyzxxyyyzxxxzzxxyxzzxxxxxyxzyzzyxzyxyyzxzzzxyyzzxxxxzzyyxyyxzzyyxzxxxyyxyxzyyzyxzxyzyzxzxyxyzyxzzxyzzyyyzzzyzxyyxxxxzyyxzyzzxzyxyzzxxyyzxzzzzzxyyyxxzzyyyyzxyzxyzxxzyyzzxyyzyzxzxzyyzyyxzyzxxzxxxxxxxyyyzzxyzzyyzyxzyzzxzyxyzxzyyzyzxxxxzzyzyxyxyxyxxyyyyxzyzzyyyxxzxxyzxyzzyxxyzxxxzyzyzxzzzxxxyzxyxyxyyzzxzxxyxxxzxxzxxxyzzxyxzyxyxxzyxyxxxxxxzyyzzxyyyxxzzxyyyyxyxzxyyzzzyyxzxyxxxzyxxzxxyxzzxxxxzzyxxyyyyyyyyxzxxyyxxyxyzzzxzzzyyyzzzyzxzyxyyyxyxzzzzyxzyxxyyzxxyxyyzyyzxxzzxzzyyzzxyyzzyyxyzxxyxzxyzyyxxxxzxxyxxyyxzzxzxxzyxyyzyyyzyzzxyyzzzzxyzzzzyzxxzxxxzyyyzyyxxxyzzyyyyxxzyyyzyzyzzxxzyyyzzyzzyyxzyzyxxzzzyzyxzyyyyyxxxzyzyzzyzyzyzzzzxyzzzyyyyyyxxyyxxxxxxyzzzxzzxyzyzzxzzxyzyyyxzzyxyyxxzzxxxyyzyyyzyzxyzyyzxzxyyzzyyxxyyxyzzyyxyxxzxxzxzzxyzyzxzzyzyyzxzyyyyxyxzxzzxxxxyzxxzzyyyyyyyzxzxyxzyyxyxzxyyzxzxzyzxzyxxyyzzzyyzzxyzzzxyyxyxyyxyxzxzzzzzyxzxxxzyxxzyxyyyyyzzzxyzxyzzyzxyxzzzxxyzyyyzxxxyyyyxzyzyxxxyzzyxzyyyyyzxzxxzyyxzxyzxzyzzyzzyzxyyzzyyzxzzyyzxzyyyzyxxzzzzyzzxzzyxxyyzyzxyyyzyyxxyxxxxyzxxzyxzzxzzzzzyzxzyyyyxzxxxzzxzyxyyyzxxyyyyxyyxxzyxxyyzxxyzzxyxyxyxxzzxzxyxyxyyzzxxxzyyzyyyxzyxyyxzzxxyxxzyxxyxxyzzyxyyzyzyyyxxxxxyyxzzzxyxzxyzxyxyzxyyzzzyyyzxyyyzzzzyzxxxyzzxzyyyzyzyyyyxzxxzxzzyyyzzyxxxzxyzzxzxzyzxzxxzyzzyzxxzyyxxxxyzxzyyzzxzzyzyxyzxzxzxxxzzyxyyzzyxzzyzyyxzzyzzyzxxxzyzzxyxyzyxzzyyxyyzzxxzzyxyzyyzzxyzxzxyyxzzyxyxyxyyzxxyyzyzzyxzzyyyxyzyxxzxzzzyxxxxzxzyzyzxzzzzzxxzyzzzyxxzxxzzzxxxxyyzxzxxzxxxyyxzzzzxxxyyzyzyyzxzxxzyyxzyyyxxzxxyyzxxxyyzyzzxyzxzxyxxyzyzxxyxxzzyyzyyzyzyyxzyxyxxyxyyzyyzzyzxzxxyyxzzzzyzzyxxyyxzxxzxyxzyyyzyyxxxyyxxyyxzyxyyyyzxxyzxyzyzyxzyxyxzyyxzxyxxyyxzyzyyzzyxyzxyyxyxyxxxzzyzzyxzxzyyzzxxzzzzxzzxyxxxyyzxzxyxzyzxzzyyyyxzxxyxxyxxzyxxxyzxzyxyyzzxxxxyxxzyyxyxxxyyxxyzyxzyzyzyzyzxzzyxxxzyzxyxzxzxzyzyzzzxzxyyzzxyzyyxxzxzyzxxyzxzxyxzxxyxxxyzzyzyxxzxxyyyzxzxyzxxxzzzxyzxzyxzyzxyxxzzxyxyxzzzyxzzzzxxzyzxzxxxzyzxxxzzxxxxzxyyyyyxzzyxzzxxxyyyxyzxzxxyyyzxzyxzzyyxxxxxyzzxzxyyzyxzzyyzxzzzzxyxxzxyyxxzyzzzxxzxyyyyzzyyyzyxyxyxyxzxyzyxzzzyxxzxxxxxyyyxzxyyzzyxxzzyzxxxzzxzxxxyxyyzzxxxxzxzxzxxzxxxxyyzyxxxyyzyzxyzxxzyxxzxyyzxyxxxyyyxyyzyxxyxxyzxzyzzxyyyyzyyxyxzyzzyzxyyxzxzxyyzyyxzxyzxzzyzzyxzzyyxyxzyxyzzzxxzyxzzyzzzyyyzxyzzxxyyyyxzyxyzyxyyzyyzzxyzxzxzyyzxzxxyzzzxyyzyxyyyzyzxyzyzzyyyxxzyzxzzyzzzzzxzyxxyzzzzyxzyyzxyzyyyzzxyyyxzzxyzxyyyzyxyyyzxyyzyyzzxzxxzyxxzxyxxzxyyzxzzyxyxxxxxxyyzzxyzxzzzzzzxxyyxzzyxzyyxyzyyzzzxyxzxxzzxxzyxzzzyxzzyyxxyyyyxyyyzxzyyyzzzzyzzxxxxzyxzxyyzzxzxxxzzzzyzyzyxyxxzzzzyyxxxzxxxxyzzyxzzzzyzyzyxxzzzxzyxyxzxxxzzzxyzyyyzzyxzxxxyzyxyyzxxzyzzzyyyyxxxzyyyyxxyxyzzyyyyzxzxxzyzxxzzzxyzzxzyzzzxxxyxxzxxxyxxyzzzyyzyzyyyxzyxyzxxzzxyzxyxxxyyxxyzyzzyxzyzzzzxzyxyzxzyzxzzxxyxxyzyzzyzzzxzxxyyyxyyxyzxxyxzzyyxyzyzxyzyxxzyxzxyzyzxyxyxyxxyyxxzyzxyyxzxzxxzxyyyxzzxxyzzxxxzyzyyyyyyyxzyzzyyyyxzxzzyxyyzyyxxzzxxxxzzxxzyxxzzxyxyxyyxyxyzyzzzzxxzzyzyyyyyzxzzyxyxxzyyzyzyyxyxyzzxzyxzzzyyxzyxxyxzxxyzxyyyzyxxxxxyzxxzzzyxzzxxzxzzxzyxzzxxyxyxzxyyyzyyxyxyzyxzzxzzzxzxyyzyyyyzzxzyxzzxzyyxzxxxyyxzzxyxzyyyxzyxzxyzzzzyzzxzxzxzxxzxzyxzxzxyzxyxzyyzxyxxyzyzzzxzxzyyyyyyzxzxzxzzzyxxzxzyyxxyxxyyxxyyyyxyyzyxyzyzyyxzyxzxxzyzxzzzzyzyyxxxzyxxzxzzxxxzxyzyxyxzyzxxzyxyzyyzzzzzxxxxyyzzzyzzxyyxyzyxxxyxyyxxyxyyyzzxyyyyxzyxxxzyzxyzxyzxzzxyxxxzyxyyzyxzzzxyxxxyyzzxzzzzxxxyyyzxxxzzxxxxzzyyzyzzyzzxzxxyyxxyyxxyxyxzyxzzyxyxyxzxzzxyzyxzyxzyzxxxxxyyzyyyxzzzyyyyzzzzzxzyxxzxxzxyxzzzyxyxyzyyxyyyxzyzxxzxxzxyzzzyxyzxxxxzxzzzyzxzzzzzzyyyzxxxxyzzzyyxzxzyxzzyxzxzzxzyxzxxxyzyyyyzxxyxzyyxzxxzyxyxxyzzzyzzyyzzxyyzzyyxyyzyzzzxyxzxyyxyzxxyzyxyyzxzzyxzzzxxxxzyyxzxyyxzxzyyzzzxxzyyxyxxyyyzxzzxzyyzxyzxyxzyxyzzyzyzzxxyxxzyyzzxxyyxyyyzzzxxyzxyyyzzyzxxyyzxyzzzyyzzzxzzxyyxzzzxxyzxzxyxzxzzxyxxxxxxxzzyxyzzzxxzzyzyxzyzxyyxyzzzxzxzyzyyxyxyyzzxyyyzxyxyzzxzyyyzzzyzzzxzzxzxxxxxxxxyyyzyyxyyxxyyzxxzyyxxxyyyxxzzyxxzxzzyxyzzzxyyzzyzzzxxzzxzyxxxxxyzyxxyyyzzzzyyzxzyzzxyzyzxyxxxyyxyyzzyzxzxyxxyxxyyxxyyxzzxxyyxzzxxzyxxzzzzyxyyxxzzxyyyxxzyxyxxxxzyxxyyzyzzxzxyzxyyyzzzzyzyyxyxzxyxzyxxyyyzxzyxzxyyyzzxxzzzxyxyzzyyzyzzyzzxxyxxxzyxyzyyxyxzxyyxzyyzxzxxyzxyzxyyyxxzzyzxzzzxyxxyyzxyzzxyzyzxzyzzxyxyxxzxzyyxyzyxxxyzxxyzzzxxzxxzzzxxzxxyyxxxyzzxyxxzzzzxxyxzzzyzxyxxyyxxyyzzyzxzyyzzzxxxzyxzzzxyzzzyyzyyxxyxyyyzyyyxyxyxyzxzzzxxxyxxxxxyyxzxxzxzzxyxyyxxyzyxzyxyxxyyzzxyyzzyzzyzyzxzxzzyxzyzxzxzxxyyxyyxzyxzzzyyyyyxyxyyxyzxyyxyzxxyxxxzyxzxxxxyyxyzzxzxzyxzzzzxzzzzxxyyyzzxzzxyyzyyyzzyxyxxyzxyzxzyzxyzxyzyxzyxyyxxxzyxzzxyzxyzxxzyzxxxzxxyxyzzxzxxxxzzyzxxzxyxzyzxzxxxzyzxyyxzyxzzyyxyzyyyxzzxzyzxxxxzyyyzxxzzzzzzzzyxyzyxyxxxzxyxyyzyzxyxxxxyzzzxzyyzxyzxxzzxyyyxzyxxxyzyzyyyyzxzxxzyyyxzxyzxxzxzxyyyxyzzxyxyyzyxzyzzxxyzxzzzyzyxzxzxyyxxxzyyzzxxyxzyxyxxyyzxzxxzzzxxyxxzzyzyxzyyzzxxyxxxxxzxyyyzzyxzyxxyzxzzzzxxyxyyyyyxzzzxzxzyzyxxyyxyxzzzyzyzxxzxyyzxxyzxzxzxxxyzyxzzyxxzzzzyzxzzxxyyxxzxyzyxzxyxxzzyzzyyxxxyyxxyxyyxxxxxzyzzyyxyxxxyzxxyzyzxxzzxzzyxzxyxzzzyyzxyxzyzxxxxxyzzyxxzzxzzyxzzxyzzzyzyzzzxxxyxxyxyyzxxxzzzzyxzzzxzzxxzzyxyxzyzzxyzxzxxzzyzyyxzyyxzxxyyzyyzyyxyzyxxyyyyxzyyyyxzzyyxzyyzxzzzyzxyxzyzzyzxzxyxyxxzxzyyyzxxyxzyzzxxxxxyxyzxyyzyzxxxzxxyxzyxzxyyxzxzxyyxxzzxyxzzxxxxzyyyxxyzyyzzzyxxzzzzzxxxxxyzxxzyzyxzyxyyzzzzzxyzyzzyyyxxyxyzxzyzxyxzyzzzyyzxyxxyxxzyzxxyyzzyzyxxyxyyxxzzzyzyyxzzyyzyzyxzzzyyxzyxyzzyzzzzzyzzzyzxxxzyxyyxxyzyzzzxyzyxxyzzxyzxyxxyyxxyxzxxzzyyxyxyyxxzzxxzzzzxxxxyyxxyzxyyxxxzxyzzxyyyyzzxxxyyyxzzxyxyxxyzyxyzzzxxyxzzyxxzzyxyxzzzzxyzxyyyxzzyyzzxxyxzyxxzxyyyxzzxzxzyyyxzyxyzxzxxzzyxzzzzyxyxyxyzxzyxxzxxyzyxxxyyzzyzyzzxyxzxxxyzxzxzzyyzxyxyzzxyyzzzxxxyzzxxyxzyzzyyyzzzzyzxzyxzyzxxyzxyzyyyxxzxzzxzxyxzyyyyzxxxyxzzzxxzxxxzzzzxzzzxxxxzzxzyxzyyxyxxxxzyxyzzzzzzxzyzxyxzyxyyyxxzzxyzzxzxzzzyxyyzyzzxxyzxyxzzzyzxzyzyyyyzyzxxzyyzxxzxxxxyzxxyxyxxyyyyzyzzxxyyyyzxzzzyyxxxxxxxzyyxxxyzyxzxzyxxzxyyxxxxyyzxyyzxzxzzyzxxxyxzzyxzxyyxyyzyzzyyxzzzzzyzxyyxyzxxyxyzxzxyyxyzzxzyyyzzxzyzzzxyxxzzxzyzxxyyzxzyzyxyyyzyzyxyzzyxyxyzyyzyyzzxxxxzyyzzxzxzyyzyyyxzzzyzzzyxxyxxxyzyxxzzyyxyyzxyzzyxyxxxzxyzxyzzxyzxyyyzxyyxyxzzzxzzxyzyyzxyxzzxxxxzyyzxzzxxzyxzzxxzzxyxxxxxyyyxzxxxzzzzzxyzxyyzyzyzyxyyzzxyyzxzzzyxxyzxyyzyxyzzzzxzyyyxyyzzzxzzxyyzxxxyzyzyyzzzxxzxyxxzzyzzyyzzyyyzxxxxzxzyyyxzyzxxxyxyxzyxyyzyxxxzzxyyzzzzxzyyzxzyyxxyyzzzxxzyyyzyzyzxzzyzyxxyyzyzzyzyyzzxzzyzxyxzxxyyyzxzzyyxxxyyxxyzzzyyzyyzzzzxzyyyxyyzyyzxyyxzzxzxxyzxyyxyxzzxzxxzzzxzyxyyxyxxxyzzxyxxyyxxzyzxzxxyzzxyyyyxxzxzxxzxzxyyzyyyzyyzxyyzxzyxxxyxxzxzxxyyyzyyyyyxzxyyzyzzyxzyyzzzxzyyzzxxzxxyzzyyzyzzzxyzxxxzyyxyxzzyyzyzzxxzyyzyzxyzyyxxxyzyzyxxyxyxxxyzyyyyyyyzzyxxzxxyyxxzyyzxyxzyzzzxxxzyyxzxyxxxyxyxxxxxyxzyyxxyzzzxzzxyyxxxzyzxyzzyyyyyyxzxxzzxxxzzxxzzyxzxxzyyyxxyxzxyyzzyyzzyzyyyxzxzyzzzyyyyzzxzyzxyxzxxzzyyxxyyxxxxxzzxxxxyxxzxyxxyzxyzzzxxzxxzxyzyzxyxyyyzzyzxzzzzyyyyyxxzxyxxzxzxzzyxxyyxyzyxyyxzyzzxyyzzxyyxxxyzxxyxzxzxzzyxzxxzzxxzyyxxyyzzzyxyyyxyzyxyxyzyzzyxzzxzxxyyxzyyzxzyzyzxzyxzzxyyyxxxzyzxyxzxyxyxyyxyxxzxyxyzzyxyyzzxyxyxyzzxyzzyyxzxzxyzzyxxyzyxzzyzxzzxzyyyyzxzxxxyyzzxyzyyxxyzxyzxzyxxzxzyzyxxyyxzyzyzxyxzyzyxyyzxzyzxxzzyyyxyyyyzzyxxzzyzzxxzzxzyyxyzxyxxzyyxzxzxxzxyyxxzyxzzxxzyyxxyyxzyzyyxxxzyxyzyxxzxzxzzyzzzxyzyzyzyzxyzyxxzxyzyzzzxyyxzxxxzxxzxyxzyzyzzyyxyzzyzxzzxzxzzyxxxyxzyzyyyyyyxyxyzyyyzyzyxxyxxzzxxxzyzzxyzyxyxyzyyxyxxyyxyxzxzzzzxyzyzxyzxzxxyyzzyzzyyzyyxzxxzzzxzzzxzxzzyyyzxxxzyyxxyzzzyyxzzxyyzzzxxyxxyzyyxyxzxyzzzxxzxzyzzxyyxzxzzzyxxyzzzyzzxxyzyxzyyyxzxzzyxxxzyyxxyyyzzxyzyyzyzxxyzxyxxzxyxxyxxzyzzzzyzyxxxxzzxyxxyzxxyxyxyyyzzyxxxzxzzyxyxxyzyzzxxyyxyyyzxxyzxzyzyzzyzzyzzxzyxyxxzzzyxyzxyzzxyzyyxzyxzxxzxzxxyxxzxyxzzzyzyzzxxyxxxzzzzxyzxzxzyxyxzyxyxxxzxxyxyxzzxzyxyzxzxzyxzyxxzxzyyyyxxzzzzyxxxzxyxxxzxzzyxyyyyyxxyyyzzyxyxxzxyxyzzzzyzzxxzzxxyzzzyxxxyxzxxzzxxzyzzxxxyzyyxyzzyyzyzzxyzyyzyxzxyxyzyyyzzzxxzyyzxyyyxyzxzzyzxzyxxzyyyxyyzxxzyzyzxyyxyxyzxxyzyxyzyzyyzyyxxxzyyxzyxxyyzxyxxxyzxxzyzyxzyzzyxyyxxyxzyzxyzyxxzyzzzzxxzxyxyxyyyyzxzzxzzyxyzyzzzyxxzzyxzzyxxzzzxxzxxzyzyxyzzzxyxyzyyxxxzxyyxyxxzxzxzzxxxzyzyzzzzxzyxyyxyxzyyxzxxyzyxxyzzxyyyzyyzxyyzxzyzyzyxzzyzxyzyxzyxxzxzyzyzyxxxyzxzzyxxxzxzxzxzyyyyzyxzxyyyxzyzzyxyzyxyyzxxyxxxxzzxxyzzyxxxxxzyyzyxyyzzyxyzyzzyxyxzzzzyyyyyyzyxxzyyzzxxxxyzxxyxyyxyyzxzzyxyzxyzzzzzzyxxzyzzxyzxzzxyzxxzzxxyzxxzyxxzxxzzxxyxxzxzzyxyyxzyxzxzxyxyyzzyxxyyxyxyzyyzzyyxyxyxyyxzyxyzxxyyyzzyxyxzxxyzzyxxyyxyxyzzyzyxxzyyyzxzzzxyyxzzzzzyyxyyyzzyyxxzyyzzzyyxzyzyyzxxzxxyzyyzzxzzzyzxxyxyzxzyzzzyxyyxxxzyzxzzyzyzzxxzyxxzyyxxxzxxyzxyyxzzzzzxzzxxzzxyxxzzzxyzzyzyzyzzxzyzyzyxxzxzxxxxyzxzxyzyxyyyyzyxyzyxzzxyzzzxzzzzxxyyxyzxzyxxyxzxxyzyxxxxzxyyzyzyxxyxzyzzyxxyxyyxxyzzxyzzyxxxzzxzxyyzzyzzyzzyyzzzyxyxzyxxyyxzyzyyyzxxyyxyxxxyyxxxzxyzyyxxzxzxxzyyzxxxxxyxxzxzyxzxxyzyxyxxyxyxzyxyxyzxzyyzzzyzzxxyxzyxzyzxyyzzxxxzxyyyzyzyzyyzzyyyzzxxxxzzzyyyxzyyyyyyxxzzyyyxxxzyzzyzzyxyzzyzxxxzxxyzzxyxxyyxxxxxzxyzxzzyzyzyxyyzxzyxyyzxyyxyxyxzzxyyzxxzyyyxyyyzzxyxxyxzxyxyyzxzxxxyzyyyzxyxyyzzyyzzzxzyyyzyxzzzzyxzzzxxxxyzzxyxyzyxxxyzzxxxzxxyzyyzzzxyyzyxzzxzyyzzzyxzxzyxyxyzzzxyyyxxyxxyxyxyxyyxyxxyzxyzyyxyzyyzzxyyzyyzyxzzzyxxzxyzzxzzzzzxzxxxzxyxyxyzyyxxxxxxyyxzyyyyzyxxzzxyzyxzxzyxzzxyyxzzxzxzxxxyyyzxyyzzzxyxxyzzzxyyyzzyyzzzxxyyxyxzzyzzxyzxyyyxzzyzyyyzxxyzxzyzxxzxyxyyzyyxzyxzxzxyyyyyzzzxxxzzxzzyxyxxxyyzyxyyzyyzyzyxyzxxyzyyyxyyyzzzzzxxzxyzxzzzxzzxyyxzyyzyzyxzxzxzzxyyzxxzyyyyyxxyxxzxyyxzxxzxyyxyzxxyxzyzyxxzzzxyzxxxyyzzzzzzzzyyyxxyzxyyyzxxzzyzyyzyzyzxxyzxxxzyzxyxyyyzzxyxyzxxxyxzyxzzzyyxyzzyxxyxxzyxzyyyzxxzxzyxyxzyyzxzxxyzyzyzzxzyzzxzxyyyxxzzzxyxxxyxyxxyzxyyyzzzzzxzyxxyzzzxxyzzxyxxyxyxyyyzxzxxzxyxzzxxyxzyyyyxzzzyzyxzzxxyyxyzyyyzxxxzxzxzzxxyxxzyzxzyxxxyxxzyzxxzzzzzzxxzxyyzzyyyxzyyyxzxyzzxyyzyxxzxzyyxzyxzyyxyzyzxzyzzyxzzzyxyzxzyxzzxxzzzxyyyzxyzyzyzxxzyxxzxxxxyyyzzxyxxyyxxxyxyyzxxyyzzzyyyyyxxyxxxzxyzyyyzzyxyxyzzyzyzyzzxxzyyyyzzxyyxxxyxxzxxyzxxxxyzzzxyxyyyzzyyzzxxxxxyxzyzxzyzyzyyyzxxxxxyxzyzzzyxzyxxxxzyyzyzyxyzzzyyyyxyyzxzyxyxyxzxzyzyzxxxyxxyzyzzxyzyxxyzzzxxxxzxyzxxyxzyzxzxyyyyzyxzzzxzxyxzyzxyyxzzxyyzxzyzzyzxxxzzxyyzzxyxzxzxyyyxzzzzzxyxzxxzxzxxzyyzxyzzxzzyyyzyzxzzxzzzyzzzxxxyzyxyxyzzyyyzxyzxxxzxzxzxxzzzzxzzyzzzzxyxxyzzyyyzyzxzyyzyyzzyxyxxyxzyyyxxxyxxyxyxyyzyyxyzxyzyyyyzzzzzxzyzyyyzyzyyzxxzzyxxzyzzyyzxxxzxxxyyyyxyyxyxzyyzxzzyxxxzzyzyyyzxyzyxzyyzxxyyxzyzxyxxzxyzyyxxyzxyxzxxzxyyxyxxzxxyxxzxxyzyxyxxyzzzyxzyyxzyzxzzyxxyxyzzzzxzxyyyyzyzyyzxzzyyyxyxzzyyzyzxzxyyxzzxzyxyxyxxzyxzzyxxzyzzyyxzzyzzxzzxxxyzyzxzyzyyxzyyzzzxxzyyyzyxyyyyxyyxxyyyyyzyzyzyxyzxxyyxzzxyyyxxzxyzyxzyyxxxyyxxxzyzzyxzzxyzxyxxxxyyzxyzzxyzxzxxzzyxxxxzxyzzzyzzyyyxxyzzyyyyyyyxyyxxxxzzzxxzzyxxzyxxzxxzxzzzzyyzyxyzzxzyxyxxyxxxyxzzzyzyzyzxyzyxxyzzyzyzzyyyyyxyzyxxxzxzyxyzzyzzyxxxzxxzzzxyyzxxyxxyxzyyyxxzzzyxxyxzyzzxxxxyzyxzxyyyxxxyzyxzxxzzzzzyzyxyzzyyzyzzxyzyxzyxyxyzzyxyzxyzxxxzyzzxyyzzzzxxzzzxyzzyyyxzzxxzxyzzzzxyyxxxyyzyyzyxyyxxxzxxyxxxxyyzyzxyyxxzxyxyxyyzyyxyyxxyxyzzxyxyxxzzzyzxzxxzzyyxxxzyzxyzyxyxxyzzzyyxzzyzyzxzyyzyyzxxzyzxyzzxxxyzzyyyyzxxzyzxyxyzyzxxzxxzxyzxxxzxxxxzxyyzzzyxxyxzxxzzzyyyyyxzzyxxxxzzyxxyxxyxzzyzzyxxxzxxzxzyzyzyzxyxxxzyzxzyxzyzyzzyzxzzyzzxxyyyyxxxzxyxzyxyxxzzyxyzyyzzzxzxyzxyxzyyyzxzxyzyxxzxyxxzyzzxyyyyyyzxxzzxxxzzyzyyzyxzzxyyxxzzxyxxzxzyzxzyyxxyyxzzyzxxyyxyxzzyzzxzzxzyzzyyxyxyxxxzxyxyxyxzyyyxxzyxyzzzyzyxzyyxxzzxxxyyyzxyzxxxzxxzzxzxzyzzzzxzyxzyyyxxxxxzzxxyyyzzzxxxxzzxyxyyyxzyyzxxxzyyxyzxyxyyyzxzzzyzxxxyyxyzxzxyxxxyxxzzzzzyxzyxyxyxzxyyyyzyxxzyxzyzxzyxxzyxyyzxyxyyyxzzzzzxxxxxzxzxxyzxzyzzzyyzzyzxyxzxxzyyyxxxxyxyxzzxzxxzxxyxzzxzzyxyzxzxyyzyzzxyzyyxzyzzyxxzyzzzxyzyzyxxyxxzzyxyxyzyyxzxxxyyyyzxyxyyzyzzxxzxxyyxyxxyzzzyzyxyzxyyzyzxyxxyxyzzzzzyzzzyyxzxyzyzyxzzxxxxxzyyzxzyyyyyzxyzyyzxyxzxxyxzzzzzxyzzxxxxzyyxyzyxzxxzxyzxzzxzxxzxxyxyzzzyzxxzzxzyxxyzyyxzyxyxzyzxyxzxxyxxyyxzyxyxzxyxyyzzyzyyxzxyyyxyyxyyxxyxyyzzyxxzxxzxyxxyxzyyzyzyyzxyyzzxxyzxxzzzxyzxzzxzzyzyzyxxyzyyzzzzxxxxzxyxxxzyxyyyzzyyyxxyxzxxyyyzzyxyzyxyzyzzzxzyzzxzyyzzxxyzxzyyxzzzxyxzxzyxxyyyyxyzxzyzxzxyyzxyzxyxxxyzxxxxyzzzxzyyzxxyyyyxzzzxyxyxzzzzyyyxxzxyxzxyzzyzzxyyyzyxzxxyyxzxyxyyyzxxzyyzyyyzxyxyyzyyxzyyzyyxzyyyxzzzzyzxxxyxyyyxyyxyzyyyyzzyyzxzyyxxyxxxzxzzzyyxxxyyxyxxyzxzzxyyyxxyyzxzxyxzzyzxyzyxzyyxxyyyyxzzyzyxxxyyxxyzzzxyyxyzyyzxzzxxxyyyxzxzxxzxzxyzxzxxyyxxyyzyxxxxyyxxxzxzyzxxyxyzyzyzyzyyzyzzxxyyzzxzzzyyyxzzyxzzzzzzxzyzxxyzxxzyyyxyxyzyyyxxyyyxxxyyyyyxxxyxyxyxzxxyzyxyxxzzyzzyyzxyzzyxxzyyyxyzzxxxzzxxxxyzyyzyxyyyxzzyzxxyzzxzyzyzxyzzxxzxxzxyyyxxzyzyzxxzzzyyzzxzzyxyxxzxyzxxxzyzxyxyzyzyzyzyzxxzzyxyxzyyxxxxyxyxxzzzxxxyzzzzzxyxzxyxzyyxxzxxzxxyxzxxxyyxzzxxzzzyyzzyyzyxzxyyxxyxzyzzzzxxzxyyxxxyyyyyzyxzxxxyzyzyyyyyzxzzyxzyxxxxxyxxyzxyzxyzzyzxzyxxyxzxzzxyxxyzxzzyxyzzxzxyzxyzyxzyzxzxyyxxyzxzzyzxyyzyzzyyxyzyxyxzxzxzyzyzzxxxyyyxxyzzxyxyxyyyxxyyyzzzxyzzyzzxxyzyzzyxxzxzzzzyyzyzyyxxyxxzzzyyzxyzxzzzzyxzyzyyxxxyxyzzzyxxyxzxzzzxzyzxxzzzyxyyxxyzxzzzzyzzyyxyzxxxzxzxzzzzxzyyxyxxzxxzyyyyyyxyxyzxzyyxxzzxzzxzxyzyxyzxxzyzyzxyyxzzxxzyyzzxzyxxzzyxyyzyyzyzxxxxyxzyxxzxyzzyzzzzxyxyxxxzyyxzxzxxyyzzxzyyxxyyyzyxzzzyyzzzxyxxxxxxxyxyzzzxzyzzzxxxyxxxzxyxzzzyxxxxxyzzzxzxyxyxyzzyyxxxzyyxxzzxyxxxxxzzzxxyzxyxyxyyzxzxxzyyzzzyxyxxzzyyzzxyyyyxzzxxyxxyzzyyzyxxzzxyyyyxyyyxzxzyyxyxzzyxxyzyzzxxyzzxyyyyyzxxyzzzxzzyzxzxyxyxxyzyyxyzyzzxxxzzzxyzyzyxyyxxxzzzyzzxxzxxzzyzyxyyyyzzzyxzyxyxxzzyyxzxxzxxyzzyyxxzxzyyzxxxyzxxzxyxxzxyyxzzyxzyyyyyyzyxxxzzzzyzzzzyxzyyxxyyzyzzxyxxzzxyyxxzxzzxxzyyzzyxxxxyxxzyxyyxzzxxyxxyxzzyyzyzxzyzzxyyxxyyxzzzzzzyyyzyyzyyyzyzzxzyzzzxxzzzxxxzxyyxxyyyyxzxzzzyyyzxyxzzzzzyzyyzyyxxxxzxzxxzxzzyyzzzyzxzzzyxzyxyxxyxxyzxzyzzyxyyxxyzzyyzyxxzyyzxxyyzxxyzxyyyxzyyyyyxzxxxxxyzxyxzxyxyzxzyxzxzyxyyzxyyzxyyxxzxzyxzxxyzzyxxxzzxxxxxxyzyxzzxyzzzyyyzzxzxyyzyyyzyzzxxzzzzyzzzyyxzyzxzzyxyyyzyyxxzzzyxyxyzyyyyzxxzyxzzyyxzzyyxxyzzyzyzzxyyxzxzxxyyzxzyyyyzyzxyyxxyxyzzyyzyxzxzxzyyxyzyyyxxzyyzxyxyyxxxyyyxyxyyxxyzzxyxzxxxyxyyxzyyyyyxyyyxxxyyxxzyxxxzxyyxxzyzyzyxzxzzyzyyxzxxzyyyyxxyxxxzzxyyyxxzyxzyzyxxyxzzyyyxyxyyxxyyyzzyxyyyxzyyxzyxzzzzxxxyzzyyxxyxyzzxxzyzzxzzyyxzxzyzzxxyyzzyyzyxxzzxyzzzxzyyyzxyzzzyxzxyzzyxxyxzxyxzzyzxxxzyzyzxzyxzxxxyyzzzzxxzxxzzyyxzzzzxyzyyxyxyzzxzxzyyyyyzzzxzxyyyxzyyyxzzzxzyyyxyzyxzzxyzzxyzxzzxzzzxyyzxzxyxyzyzzxxxxyyzzxyyyxxxxxzyzxzyzzyyzzzyxxxzzxzxxxyxzyyyyxxxzyxxxyzyxzzzyyyxzyzzxyyyzyyyxyzzyxxyyzyzzxyyyxyxzxxyzzxyyzxyyxyzyxzyyyzyzzyxzxyxyxyyzxxxyzyxxxyzzxyxyyyxyxyxyxxzyxzzyyyyyyyyyzyzyxyyxzxzyxyzyzyyyzyzzzxyxxxxzxxxxxxzzyzzyzxxxxxyyyyyzzyzyzzyyxyzzzyyzzyyzyzxyyzzzzzyzzzzzzxxyzxzxzxxzzxxyyyxxxxyyxzyxxxzyzxzxzyxyxzzyxyzyxzyzxyzxyyyzzzxzzxyyzzzyxxxzzzxxyxyzyxzxxzxzxzyxxzzyyyyxxxyzxzzyzyxyxyxyyxzyzzxzxzxyxyyzzzxyzzzxzxxzxzxxxzyxxxxzzxxxyxyxzxzxyyxzzxyzxyyyyyzyxzyzxzyzzyxxzzxyxxzzzyyzzyxyyxxyyyxxyzyzzzyyzxxxzzzxzyyxyzyyzxxzyzzyyyyxyyxzxzzyxzxyyzyyxxxzxyzyxzyzyyyzxxzzxzxxyzxzzzyzxxyxzzxzxzyxzzzxyxxzxxxyyxyyzzyxxzyyxzyzzyyxzxzxyzxzzxxyyzyyxzxxyyzyxzyzyyzxxyyzyyzyxyyyxyxxxxzyxyzyxzxxxxyzyzxxxxyzxyyzxxyzyxxyyxyyyzzzxzyxzxyzyzxzzxyzzyzzzxyyxxxyzzxxyyyzyxxxxxxyyzyyyzyxzxyyzxyyyyyzzxzzyzxzzxyxzzyzzyxzyyzxxyxzyzyzzyyzzxyyzxxzyyxyxxxxzyyyzyyxzzyyyyyxzzzyxxxyzyyxzxxyxyzzyzyyxzxyxyyyxyyxxyxxyyyyyxyzzzyyxxzyxxzyxyyzzyyxyxzzyyzyyzzzxxyxyyxyzxzyxyzzzyxyxzzzxyzyxyzyyzxxzxzxyyzxxzyyyzxyzxzyxxzxzzzxzxyxzzyyxxyxzyxzxyyyyyxzyyyyxxzzxyxxxxyyyzxzxxzxzxyzyxzyyzyyzzxyyxyyzzzyzyxxxyzzzxxzyyzyzxzyzxyxzyxzxyxxxzxyzyyxyyyyxzxxyyzyzxyxzyzyxzyxyyzzxxyzyzxzyzzyxyyyxyyyxyyxyxyyzzxzxyxyzzzyyzxxxyxxzyyyyzyxyzyxzxyxxzyxxxzyzzxzyyxzyyxyzyxzyzzxxyyzxxyxxyyyxxyzyzxzxxxxxyyyzyxyxxyyyxzxyxzzyyyzzzxzyxxxzzxzyzzyzxyxzxzxzzxyyzxxxyzxxzyyyzxxxyxzxyzzxyxyzxyxyyxxyxxxzxxyxzzxxxxyxyyxxyxyzxxxzzzxzzzxxxxyxzzyyxyxxyyxxxxzzyxxzzxzxxzyxzyzxyxyyxxzxxzzyyxzxzzyzxzxxxzzxzyyxyyyyxxyzyyyyzzxyyxyyxyzxxzzzyzzyzxxzzxzzxzxyzzxxyzzzzyxxyxxxxxyyyyzzyxxzzzxzzyzxzxyxxxyxxyxxyyxzyxyxzxyxzxxzyxyxyzyyzxyyzyxyyxzxxzxxxxxxyxyzxyxyyyxzyyzzzxxzzyzzxzzyxxzxzxyxxzyzyyxxxzzyzxzzxyzyxyyyyzyxzzzyzzxzxzzzxyxzxzzyxzyzzzxzxxyxxzxzyzyxyyyxzyzzxyxyyyzxzzyzzyzzxyzzzyzyxyzyyyxxyxzzxyzxzyxzzzxxxzzzyxxzzyzzyyxzzzyyyzzyxyyzyyxzyyzxyxxyzxyyzxyyxxyyzzyxxzxzxzzxzxyxxyxxzzyzyzxyyxyxzxyzzyyyyzxzyzxyxzxzzyzzzzyyyxyxyyzyyxzxyzyxxxyzzyyzzyzzxzyzxyxyyyzzyyyzxzyxzzyyyxxxyxzyxzyzxzxxzzxyzyyyzzyxyxyyyzxyyzyzyyyzxyzzzxxyzzyxxxxxxyyzxzyxxyyxzzzyxxzzzyzxxxxzzyyyyzzxyzzxzyyxzyxxyyxxyyzxxzyxyxyzxzzyzyyyyzxzxxxyyzyyxyzxyxxzxzyzxyyyxxyxyxzyxxzyyxzyyxyzxyzyzyyyzzxxyzxzzyyzyyzzxzyzxzzzyxxyyxyzzzzxyyyzzxzyyxxxxyyxzyyzzzxxxyyyxxzzzzyyxxxxyxyzyzzzyxyzxzyyzyzzzzzzzyzzyzyzzzyxyyzxyxyxyzxyxzyyzzyzyyzxyxxyxyyxxyyzzxzxyzxyyxzyyxzxzyyxzyzyzyxyzyyyxxzyxzzyzzxzyxzzxyxyxxyyyzyzyzzzxyzxzzxyxzyyyzzzyxyxzxyxyyxzxxxzyzzxyxyxzzxyyxxzyzxxyxyxxyxzyzyyyyxxzzyyxyyxxyzxxxzyyxzzxzzyzyxyyxyzxzzzzzxyzyzxzxyxzzzzxyzxyyyxzxxzxyyzxyyxxyyzzxyxzyyyyxzzzyzyxyyxxzyyzxxzzzyyzxzzxzxxyzxyyxxyzxxyxxzyzzyyxzyxzxyzxyyyxzyyyxxxyyzzxxyyyzxzzyxyxzxzxxzzyzyxxzzyyxxzxxxzyyyyzyxxyyzyyxyyzzxxxyzyzxxyyyyyyxyzyyxzyxzyxxyxxzxzyyyzxzxxzzxzzxxzxxxxzyzzzzxxxyyxzyzzzzyyzyzxyyxxyxxxzxyxxzyxzyzzzzzyzxyzyzxzyxzxyzzyzzxyxzzzxzyzyxyyxxzyzxxyyzxyzxxxyxxzzzxxxxyyxyzyxyyzzxyyxzzzyyxxxzyxyxxxxzzzyxzyxyyxyzzxzxyzyzyxxxxyyxxzxzzyzyzxyxyxxxxxyyxzyxxzxzxzzyxxzxyzyzyxzyyzyxzxxzxxzzzzzxzyxyyxzyyzzxyyzzyzyxxxzxyzzzyyxxyzxxzyzzyxyzyxzzyyxxyxyxxyyzxzyzzzzzyyzzzxyzzxxyxyxzzxyzyzyxzzyzyxzyzzzzyzxzyyzxzyzxxxzxzxzzxzxyzzzyzyxxxzxxyxzzxzyxxyyyyxyzzxzzzzyzzxxzxzzyxxzzxzyxyyxxxzxzxzxzxyyxyxxyyyyzxzyzzyyyxxzyzzzzyyzxxyyyyxxyxzxzzzzzyyzzzzxxxzzzzzzzyyzzxyzzzzzzzzzyxzzzzxyzxxzzxxzxxzzzxzyzyzzzyxzxyyxzzyzxxyxzxyzyxyxxzzyxxzyyzxzzyxxzyyyyyxxyzzzzxyzzyyyyzyxzyxzzzxyyxxxyxyzzxxyxzxyzyzyzyzxzzxxzxzyxyyyxyzzyzyzzyxxzyzzyzyxzyxyxxzzzxyyyzxyyxyxxxxzxxxyyzxyzzzyzzyyzzyyzzzzzyyxyxyyzyxxxyxxxxxxzyxyzyyyzyyzzzyzxyxyzzyxyyxyyyyzxxyyzxxyzyzyxzzyzxzyzxzyxzyyxyxzxzzxyxyyyzxxzzyxzzzyxyyzxzyzzzzyxzzxxyzzzxzzxyzyyyzxyzzxyzyxyxyxxzzxyxzxxxxxyyzzzxxzzyxxxyxyyxyyxzyzyyxyxxyyzxyxzyzzzxxyzxyxxyzxyxxyzzzyyyyxzzzxxyxzyxyyyyyyzyzxzxzxyxyxzyxzyxyzxxyyxyyzzxxxzzzzzxxyyxyxyzxyyyxzzzxyzyyxzzzxxxyzzxyxzyyyzzzzyzxzzxxzzzzxzyxzzxxzyxxzyyxyxxxxxxxxxyyzzzyxyzzzyxxzxxzzxxyxzxyyzyxyyyyzxzyxxxyzyxyxzzyzyyzxxyyxzzzyyyyxyxzxxzxxzxyzxzxzxzzyzzzxyzzyyzxxyyxyzyzzxyyxzxxyyyyzyzzzxzyzzzzzyxxyyxxyyzzzzzzyzxyzyyzyxyxxxxyyzxyxyxyzyyyzxyyxxyzxzyxyzyyzzxyxxzxxyyyzyzzzxzzyxxzyxzyyyyyxzzzyyxyxzyyyzyxxxzzxxxxxyyxzzyyxzxxyyyzyxyxzzzyzxzzyxxxyyzzzxzyyzzzxzxzxzzyxzzyzyyzzxzxxxzxyyyzxyzyyxzxzyxyyzyyxxzxzxzzxzyzzxzxyyzyyzxyyxyyxzzzyyzyzzyzzzxyyyxxzyzxxxzxyzxxyxxxyxzyxyzyyyyyxxyyyzyzxzyyyzxyzzxyxyxyyzxyxzyyyyxxzxyyxxyyzxzyyyyxyzyyzzzyzzyzyyzzzxxxzxxyyxxxxzxyzzzyyyyyxyzzxxyzzyxyxyxxzzyzyyyzzzxxyyzzyyyyyzxyyzxyzyzxzzxyzxyyxxzzyxzxxzyzzzyyxyxzyyyyzyxyyxyyyxzzzzzxyxyyyyxzzyzzzxyzyzxxxxxyzxyzzyxzyxzxxzyzxxzyyyxxyzzxyzyyzxxxxyyyxzxzyxzyzzxzyyxxzzzzyyxxxyyzxxxxxyxyyyzzxyyxzyxxyyxxzzyxxzzzzzyyzyyzxyyyxxxzyzzxxyzyxxxzxxzzxyyyxyyzzzxzzyxzzxzxyxyyxxyyyyxyyzxzyxyxyzyxxzyzxyyyyzzyyzxyyxyyzzxyyxxzzyzyyzyxzxzzzxyyzzxzyzyxxyxxzzxzzyzyyxxyyyxxxzxyyyxyzyxxzxxzxzyyxzyxxxyzxyxxxxyxxxyzyyxxzyzzxxxzzyzxxyzyxyzyyxyxzyxzzyyyxyxxxzzzyxyzyxyxyzyyxyzyyxyzzzzzyzxxzyzzzyxyzzxyxyzzyxzzzyxxxxxzzxxxzxxyxzyzyyxxyxzxzzxyyyxxzzxxyzyxzxxzzxzyzxyxzxxzxyyyxzzyyxyxyxzyzzxzzyxyzzxzzzzzzyxxzzzxyxyzzyyzzyzxzxyxxxyxzyzyxyyxzzzzzyxzzxzyxxzzyxyxyyzxzzxyxxyyzyzyyzzxxzyxyxzyzzyzxyyxxzxxxzyzxxzzzxyzxzyxxxxzxyzzyzzzyyxyyzzzzyzzxxyyzzzxzxyyzxxyyxyxyzzyxzxyyyyzyyzzxxxxzxxzyzxyyyxzxxzyyxyyxzxxyxzzyxxxyxzzzzzyzxyxyzyzxyxyyxzzxyzzzyxyzzyxzxxyyzyxxyzyyzyxxxzzyzzzyzzzxzzxxzxzzzzzxyyxxzzyzxxzzyxxyxyxxxxyyzzxxxzyzyxxyxxzyzxxzxzzyxyyyxyxzxyzxzyzzyyzxyyyxxxzxzzxxzzxyzzyzyzxzxxzyxyzyzyxxyyyzzzxyyzxyyzzyyxyxzyyxyyxxxzzxzzyxxxxxxzzzyxyzzzyzxyyxyzxzxzyxyxyxzyxyxxzyxxxyzxxzzyyxyxyzyzyxxyzxzxzyyzxyxzxyyzyxyyxzzyyyxxxyzyyzyyxzxyyzyxzyxxyzzzyxxxyyxzzxyzxyyzzyzzyzzzxyzzzyxyzxzyyzzyxxzxyxzyyyzyxzyyyyzzzzzxzyxyxxxxyyyzyzyzyyxzyxxyxxzzxyyzxyxzxyyxzyyxyzxxxzyyyxyyxyzzyyxzyxyxxzyyzzzzyzxyyzxzyxyxzxyyyzxzxzyxxyzzzyzzxyzyzyyzyyzyxxzzxyxxxzzyyzzxxxyyxyzxxzxyxzxzzyxxzxzzxzxyxxxyxyzzyxzzxyxyyzzyxxxyzyyxyzyzxzzxxyxxyyzxyyxzxyxxxxzyxzyzzzxzzxzyyzyzzxzzxxzzyyyzyxzzxyzxyyyzyxyxxyzxxzyyyzxxzyzzyzzyyxzyzzxzzxzzyxxxxzxyzzzzyyyzxxxzxzzzxzxxyxxyyxxxzxxxyyxxzyyxyxxyzyzyxzxxzxzzyzzxzzzxzyzzyyxyzxxxxyzyxxzxzzyxxyxxyzzzxxyzyxyxzyzzxzyxyxyyxzyyyyxxzxxyzzxxxyxyxzxyzxyyyxxzyzzxzyxxzyyyzxyyxzzzyzyyzxxxxyyzyxyyxyyyxyzxxxzzyxyxzzyxxyyzzyxyzxyxzyxyxzxxyxzxzzyyyyyxxxxyxyyzyzxzzyyxyyzxyxzzyyxzzzyxzyyyzzzzxzxyyxxzyyzzxyzzzyyyzyxxxyzzzzzxxxzxzzzxxzzzyyyxzxxxyzzyzyxyzyzzzzyyzxzxxxyyxyxyyxyzxzyzzzyzxxyxxyzxyzyxyxyxxyyyxzzyyyyzzxyyzxzyyxyzxxzyxzyyxzyyzyxxxyzzxxxxyxxyyzzxyyxxxyxxyxyyzyzxyzzzyxxzzyzzzyzxyxzzxzyyxyyxxzxyzxzyxzxzyzyyzzzzyxzxzxxyzxxxyzxzzzyzzxzzxxxzxzzyyxzxyxxyxzxxzyyxzxzzxyyzzxzxzxxyzyyxyxzyzxzxxyxyzyyzzyyxzyxyxxxzyyzxxxyzyzzxyxzzyyzzzxxyzzyyzyyzxzxxxzyyxyzzzxxxyyxzxxxzyxxzzzxzzxyxxxzxzxzyxzyzyzzyzxxxyyyxyzyzzyxxxzxzyzyyzyzzxyxyyzzxxzyzxxyyxzzyxxxxzxyxxxxzzyyxyyyxzyxxzyzzxzzyyxxzxzxyxxzzyyyxyzxzyxyyzxzxzzyzyyyxyxzxyzzxzxxyxyyyxyzyzzxzyzxzyxyzxxzyxzxzxzzyzxyyxzyxxzyxyyyyxyzxyzyyzxzzyxxzyzxxyyzxxyzzyyxxyzxxyzyxzxxzxxzxyyzxzyxyzxzzxxyyzxxzzyzyzyyyzxzyzxyzyxxxyzxyxxyxxzzzyxyxzxxyzyzxzyyyxxyxxxyxyzyyzyyxzzxxxzyxxyxxxyzxzyyyzzxyzxyzzyzyzyxyyyzxzxyxzxzzzyyyzyxyyxyxzzyyxxxxxxxzxyxzzxzzzyxyyxzxzxxzxzyxxzyyzzxxxzzzxzxyzzzzxyzyyyzzzzxyzyyzzyyxzyzzzzyzxzyzxzzzxyzxxyxyzzzzyxyyxzzzxxxyxyyzxyxyyxxyyxxzzyzxxxzxzyyyyxyzzyzxzyzyxyyzxyzzzzxxyxzyzxxxzzxyzzyzzxyyxxzxxyzyyyyyzyzyzxyyxxzyyxzzzzzxxyzxxxzzxzzzyzxxzyzyzyzzyxxyxxxyzzxyzxyxxxzyxyyzxxxxzzzxxxyzzxzyzxyxxzxzyxyyxzxzyyyxyyzxyxxxzyzxzyzyxyzyyxyxyyxyyyzyzyyyxyzzyyxzzyyxzxxzzyxyyzzyzzzxyyyzxyxzxyxyyxxyzzxyxxyzxxxzyzxzxzyzxxzyyxxzyxyyzxzzxyyzyxxxxyyzyzxxyxxxzxxyzxxxzxzxzxyyxzzyxxzyzxyzyyzxyzxzxxxzzyxzzyyxyzyxyyyyxxxyyyxzxzxzxxxzzyyxzxxyxzzxyyxzzyxxzxyzyxxyyyzyyyyyyzyxxzzzxxzyxxyyzyxyyyzyyzxxyxxzyyyzyzyzxzzyzxxyzzxyyzzyxzzzxyyxxzyyzyyxxzyzzxxxzyxyyzzzxyzyxzzyzxzxxzxxzzxzxyzxyyyzxyxyxzyyyzyyxzxzxzzxzzyzzzxyyxxxxzxyyyzxxxyxxxyzyyzzyyxyyzxxyzzzzyyxzyxzyxxxzyyxxzxyxxyyyzxyzyzxxxxxxzyyzzzyyzzxxzyzzxzyzzzyzyzzyxzxzxyyyyxyzyyyzyzxxxxzzxzyxyyyzyxxyzzxxzyyxyxyxyxyzyxxzyxxzyxzyxxzzxxyyyzyzxzzxxzyxzxyzyyxzzxyyzyzzzzzzxyyxzzzzxxxyzzyxyyzyzyzxzyzzyxzzyzyyxyyyyxzyzzyzzzyzxxyyyyyxyzyxzzyyyxyxyyzzzxyzzzzxxyyyyxyzzyxxyxxzxyxzyzxxzzzxzyxyxyyxzxxxzyxyzxxxyyyzyyyxxzxxxyxxyzzzxxxxzzyzyyyxzxxxxxzyyxzzzxyzyyyyxxxxxyxyxxzxyyyzyxxzzyzyyzzyyxzxzyyzxxzxzzxyyyzzzzxzzxzzzzzzzzyyyyyzxxxxxzyyyyxxyyxzyxzxxzxxxyyxxxyyyyyxxyxyyxzzxxxyyxyzyxzxxzxxyyzyxzxxxxzyxxxyxxxxyyxxzyyzxxyyyzxyxzyzxzzyxxzxyzxzzzzyyxzyzxyyzyzyyyxxzxyxzzxxzzzyzxyzzyzzxyxxzxzyyxzyxxxyzzyyyxyxyzxxxyzzyxyyzxyyyxyxyyzyxxzxxyzxyxyzzyxxyzxzyzzzyyzzyxxyyyyzzzyyzzzxxzyzyzxzyzxxzzzxxzyyzxzxzyxzzyxyzxyxzyxzzzyyzyzxxxxxzzyxyzzxyzxxyyzyyxyxxxzzzyyzyzxyzzxzzyxxzyyyyyxyzzyzyxyzyyyxzxxyxyxyyyxzyxzxxyxxzzzzxyzzxxzxxxyzyzyxxxyyzxzxyzxzxyyxxyxyyxzxzzxzzzzzzzxxyxzyzzxyyyyzzyyyyxxzzyyyzyxxxyxxxyyyzzzyyzzzzyzxyzyyxxyyyyxxxxyxxyzzxxzzyzzxzzyzyzyyxzyzzxyxyxzyyyzzzxyxzxzzyxzyzyxyyzyxyxzzzzyzzxxzzyzzyzzzyyyxyyxzxxyyxzzxzxzxxyzxyyzzyxyyxzxxyzyxxzxzzzzzyzxxyzzzzyzxzyxzzyyzzxyyxyzzyyxyzzxzzzzxzzxzzyxxzzxxxyyzxzyyyxzzzzzyyzyzyzxzxzxyzzzzxyyzxyyxyyxyyxxxxzxyxyxyxyzzyxxxyyzzxxyxyyyyyyxyxxzyyzzyyyzyyyzzzyyxxzyzyxzyzyzxyzyyxzxyxyyzzxzxzxyxyxxzxzyzyxyyxxyzxzzxxxzxyxyxzyzzxxzzzzxzxyzzxyyzxxyxzxzxyyzzzxzxyxyxxxzyxyzxyzxzyyyyyzxxxzzzzxzyxyzyzzxyyyzyxyyzxzyzyxxyxxyxzxxyxzzyyzzzyxzyyxzzzxzzyxzzyzyxyzxxzyzxxxyzyxyxyzyxzzyyxxyxyzyxzzxyzxzxxyxxyxyzxxyzzyyzyzzxyxyxyzxyzzzyyxxyyzxyxxzyxyxxxyyyyxyxzyyyzyyzzzxyzzyxzzzzyxzzzxyzzzzzyyxzyzyyzxzxxxzzzzyzzzyxyzxxxxzxzyzxzzyzzxyyyxzzxxxyxxxyzxxzxyzzyxzxxyzyzyxyyyyyyyzxyyyzyxxxyyyzyzzxyyyzxyzxyyyxyyxyxyzxzzxxzyyzzxxxyyxzyzyzxyxzzzzxxyzyzxzxxzyyyyyzzyzyyxyxzyxyyyxzxyxyyxzyyyxzxyyzyyzxzyyxzyxyzxyyyzzyzzxzyzzxzxxzxyxzxzzzyyxyxzyyyxyyzzxzyxyxyyyzzyzyyzxyyzyxyxyyxxxxxyzzyxxxyyxzxyyxzxzzzyzzxzxxxxzyzzzzxxyxzzyyyxxyxzxyzyzxxyzyxxxzxzyxyyzxzyyzzyyzxxzzzyzzzzzyzyxyzxyxxzzyxzyxxyzxzzyxxxyxzzxxxzyyzzzxxzxyzyxzyxyyxzyyzxyzxxyzyxzzzzyyyzxyyyxzyzzxyzyzxzzxyzxxzxxzzzzzyyxxxyzyxzxxxyzxxxxzyyyyyxxxxzxxyxyxxyyyxyyyyzzzxyxzyyzzzxyzxyxxyxyzxxyzxzyyyyyyzzxxzxyyzzzzyzxxzzxxyyyyxzxzzzxyxyzyyyyyxyyyxzzyyxxxzxxyyxyzzyyzzyyzzzzyyxzyyxyyyyyxyyzzxzxzxyzyyzyzxyyzzyzzyzzyyxzzzxzxzzxxyzyyxyyxyzxyxxzyxzzxxxyzzyxyzzxzzzxyxyzyyyzyxyxyxxyzxzzzyzyzzzxzxzzzxxxzyzxxzyxzxxxxxzxyzxyzyyzyyzxzzxzzzxxzyyzzzyzzxyxyxxxzxyxyzzzyyzxzyxyyyzyyzyzzxyzyxzxyyzzxzyxzzyyyyzzxyyzzyzxyzxxzyyxzzxyyyzyxyzxzzyyyxyxyxzyxzxxxyzzzzxzyyyxyzzzzzxyyxzzyxzxxyyzxyyyyyzyzxzyxzxyzzzzyxzyyyyyyzyzyzyxyzzzxyyxxzzzyzyxzzxzxxzyyxxzyzyxxxzxxzzxzyyzzxzyyzzzyxxzxzxxyxyyyzxyxzzyxxzyyzzxzzxzyyxxzyxzyyyxxzxzxzzzyyxxxxxzyyzyxzzxyyyzzyxyzyzzxyyxzxxzyyzxxyzzyyyyxyxxyxxyxzzyyxyzzyyyyyxzxxzyyxxzxzzxxxxxxxxzxxzyxxyyxxzxyyxxyxzyyyzxyyxzyxxzzxzyyzxxxxzxxxxxzyzxzxyxxyxxzzyzyyxxzxzzxxzxzzzxzyzxzzyxyzyyyyyzzxzxyxzzxyyzyzyzzyzxzyxxzxyzxzxxyzyxxxyyyxyyxyzxxyzyyxxxyxzxzxyxyyxyxxxyxxyyyzxzyxxyzyzxxzyyyxzxyxyyzxzxxxyyyyzzxyxyyyzyxzyxyzxzyxyyzyxyzzxxyxzzzxzzzxzyxxyyxxyyzzxyzyxzxyzxzxzxyxzyzxxyxzzyzxyxyzzyyxzzzzxxxxzzxxyzyzzyxxyyyzxzyxzxyyyzyyzxzxyyzzyxxzzyxyyxzxyzyyzzyxyyxzyzyxxzyyzyxzyzzzxyyxzyyyxzzzzyxyxzyzzxxzxyxzzzyzxzzyxzzxxyxyyzyxyzzzyyyxyzyyyxxxxyxzzzxzzzyxxxyzzxxxzyxxxzyyzxxyzyzxyzyyyzzxyyzxxxyzyzzxyyzyyzzyxxyyzyxzxyxxzxzxxxzyzxxyyyyzyyyyyxyyzyzyxyzyyxyxzxyyyxxyzzxxyzyzzzyyxzzzyzzzzxxyyyzxyzyyyxzzyyyxxzxxyxxzxxyyzyxxzyzxzzxxzxxyzxxyyzzxzyzyxzxzxyyyxxyyzzyzyxxxxxxzzyzyyxxzxxyyzyxxyyzxzyzxzxyzxxyyyyxyzxyxxxzzzxxzxxxxzxyyxxyxzyzxyzxzxzzzyxzzyxzzzyzzyyzyyzzzxzzxzzxyzxxxyxzzxzyyxyxyxyzyxyzxxxxzzxyxxzzzxyzzyzxxyyzxyyxyxzyzyyxzyzzzyxxyyxzyzxyzyzxxxyzzyzzyyzyzyxyyzxxxzyxzyyxzzzyyzzzyzzyzzxxyyyzxzzxyzxzxxxxzzzyzxxyxxzyyyzyxxzyyyzxxyyzzyyzzyyxxyzyyyyyzzxxzyxyyzzxzzxxyzzxyxyxxzxzxxyyxzyzyyxxxzxzzxyyxzyzzyyxyxyxyyyyyyxzyzzxzyxyxyyzzyyxzzzzyyxxxyxxzxzyxxxzxzxzxxzxzyyxyxzzxxzyxzyzzxyxzyyxyzyyzzxyyxyxyyxxzzxyxzxzxxyyzzyyxzyyyyzyxxyxyxxzyxzyzxzzxxzyyyyxyyzzxzxzxyxzxxzxxxyzzzxyzyxzyyzxyxzxzyzzzxyzyxzzzyzxzxzxxzxyyzxxxxzxxxyxyyzxxxyxxyyzxxzyxyyzyzzzxxxxyzxyzzyzzxyxyyzyxyzxxzzyxyyyxyyxzzxxyzxzzyzzzzxyxzxxxxzzzxzzyxxzyyyzzxxzyxxzzxxxzyxzxxzxyzyxxxyyyyzyxzyyxyyyyyyxzxxzzzxxzxyzyxzyxxyxzzzxzzyyyxyxyyyyyyxxzyzzzyyzxzyzxxxzyyzxxxzyyzxyxyzxzxyzzyxyxzxxyxzyyxyyyxzyzxyyxyxxyxyzyyxzxxyyyxxyyyyyyxyxzzzxzyzyzyxxzyzzzzzzzxzyxxzyyxxyyxzxxxyyzxxyyxxyyzzxxzxxxxyzxyyxyyzzzzxxxyzxzyzxzyzzyxyxxzxxzyyyzzxzyyxyxyzyxxxzyxzxxzxyxyyzzyzxxzxyxzyxyxyxyyyzyxyyzyzxyyxyxxyzzyyzyyzzzyzzyyxxxzxxyxzyzxyzxxyyyxxyzxxyyzyzxzxxxyxyzyyxzzxyxyxxxyyyxyxyzzyzxxyzzxzzyzxyyxzyyzxxyyxxyzzzyzyzyzzxxzzxyxyxzxxyyxxxxzxxzyxyyyxxyzxxyzyxxyyxzxzzzzxyzzzyyxyyyyyxyxxxyxzyyzzzyxyyxzzzzyyyzyzxyxyyzzyyxyxxzyxyxzyzxyyzxyzxxyyxzyyzyyyxyxyzzzxxyzyxyzxzzzzzxzxxxzzxzyzzxzzzxxxxxxyyzyyxxxzxxyyxzzxyzxyyzyyzzxzyyyzzxyyzzzxyyzzyzzzzyyyxxzxxyzzzyzxyzxzyzyzzyxxxzzzxyzyxxxzzyxxxxzyyzzzyzzzyxzyzxyxxzzxxzxzzyyzxxzyyyzzzzzzxzxzyxxzyxyyyxyzxxzzyyxxyzyxyzyyxzyyyzxxxzxzyxzyyxyxzxzzxzzyyzzxyxxxxzyxzyxxzzxyxzxxzxxyxxxzxyxxxyzzzxyyxxxyzxyzyyzxxxzxzyyzxxzzxxzxzyyyzyzzxxxxzyxzxxxzxzyzxyyyxxzxyxzxzxzyzzxyyxyyxzyxyxyyxyxyzzxyzyyxzxyzxxxxyyxxyzxzxyzxyzyyxyzzzxzzzyzxxxzyzyxzzxyyzxxzzzzyxzyyzxyxxxyxyyxzzyyxzzxxzyzxzxxyxxyyyzzxzzyxxxzxyxzyxxzxyyyzxzyyyxyzyyyyyxyyzyxxzxyzyxyxzzzxzyxxzyyxzyyzzxzxzxzxxzyyxxzxxxyyxxzxzzzxxxxyxxyxyzxzxyxyxzyzzyyyxyyxyyzzxyzyzzzxxyxzxzyzzyzxxyxxyxzzzzyyyyyyxzxyyxyzzyyyxxzzzzzyxyzzzyxzzyyyyxzzyzxzyyyyzxzzyxyxxxyyzzxzxyzxzzyxyyyxxyxxxzzzyyyyzxzyyxxzyyzxxxyyzyyxyxxxyzxxyzxyxxxxyzyxyxxxzyzzxxzzxxzyxyyxzyyyyzzxxxyxzzxxxyxzyxzyyxzyyxzxxzxxyyzxyxxxxxyzxzzzzzxxxxzzyyzzyyyxxxxyyyxyxzyyxxyxzyxyyyzxzxyxxxxxzzzzyzzxyyzxxxxyxzyzzxzxzyyxyyxzxxzxxxyzyyyzyyyxyxzyxzyxzxyyzyxyxyyyyzxxyxyyxyzxyxxzyzxzxzyxzyzyzyzxyxzzxzzzyxzzzyxxxxzyzzzxzyzxzyyyzyzxzxyxyxyzzxzxxxzyxzzyxxzyyzyyxxzyxxzxyzxyyzzzzzyxzxxxyxyyzxzzyxzzzxxxxxxzxxyzxyyyzyyyxxzxyyyxxxxyyyxxxzxzyzyyzxxzxxzzyzyxyyzzyxzzyzxyxzzxzxyzxyzyzxyzyyyzyxxyxxxzzyzzzyxxxzzzzxzyyzzxzzzyyxxzxzzzzxzzyzyxxxzyyzzxyyzzzyzzyxzxyxyyyyyyzyyxxzzyyzxxyyxxzxyyyxzxzzxxxxzxxxyxzxzzyyzxyzxzyzxxyyzxxyzzyyxyxzzyyyyxyzzyyzzzxxxyxzzxxyyzxxzxzyxxzyyzyxyxzzxzyyzxxzxxzzzyxxzyyxzyzyzzzyzxxxxyxyxzyyyxzyyzxyyyzyzxyxzyyxyxyyxxyyxzyyzzyzyxxyyzyxyzyzyxxzzxzzxxyzyzxzyyzyzzxxzxxzzzyyxxyxyzyzxzyxxxxxzzzxzzzzxxxxxyyzxyzxyxzzyxzzyzyyyzyzyzyzxxzzxyyzzyyzyzxxxyyyxxyxxzzyyxxxzyyxzyyzzzzxyxxyyyxxzyyzyzzzxyxyxzxyzxxyyxxzyxxxxxxzyxzyxzzyxzyyzxzzzyzyzxzyzzxzzzxzyyzxzxxxzyxzxyzzzxxxzzyzxxxxzyzzyzzyxxzzyyzzxxxzyyyxzzxyzzzyzzxzyyyyxxxxxxzxzyzxxzyzzxzyxyxyxzxzzzzyyxxzxxxzzyyyzzxzyxyyzxzzxyyxyxzyyxzyxyyxzxxzxxzxyxxzxzxzxxyzyyzyyxzyxxxxxyyxxyxyxyxxzxxxyzzxxzzxyxxzzzxxxxxxyyxxzzyyzyzzxyzzzxzzzxxxzzzxzzxzxyxzyxzyyxzzyzzzxyyzzxzxxyzyzyxxyxyyzzyzzyxxyxzzzzyzzyzyzyyyyxyzxxyxzyzyzzzxxxzzzzyzyzxzyzzyzxxxxxxzyxyyzxxyxzyzzzyxxzyyzzyxzzyxzyzzxzyzzzyxzyyzzxyyyzyyzyzyyxxxzxyxyyxyxxxxyyzzxyxyzzxxzxzyzzyyzyxyzyzyyxxzyzxzzxzxxxyyzxxzyzyxxxxyzxxxyyxzyyzxzxzzyyzxyzyyxxxzzzyyyyzxzyyxzxxxzzzzzzzxyxzzyxzzyxyyyzzzxzxyyxyyxzxxyzxzzyzxzxyxyzxxzxyxxzyxxyyyyyzzyyxxyzyyyxyyxxzxyxzxzxxyyyxzxyzyzyxzzxxyyxzzzxzyxyyzyyyyyyyxxxyzyyxzyxyyyxxxyyzyzyyxyyyyzyzxzxxyzxzzyyxyxyyyzyzxxyxzzyzyyzzzyzxxyyzxzyzzyzzyzxzyyyzzzyyxyzzzyzyxxyxzxxyxyzzyzxzxyzyyxzzyxxzxyzxyxyxzxxyyxyzxzyxzzzxyzzxyyyzxzzyxzxyzxyzxxzxyzxyzxyzyxyxxyxxzzzzyxyyyxzzzyyxzxxyyyxyzxxzyyxxyyyzyyzyzyxyyyzzxzxxxxyzyzzyxzyyxyyxxxzzyxyyxzzxxzzxyzxzzzzzyzzyyyzxxzyyzzzyzxyxzyzyxzxyzzyzyxxyyxxxyzyxyxyzyyzyyyzyzxxxyyyxxyzyyyyzyxzyzyxxyzzyxxzyxzyzxyyyxzxyxyyyyzzxyxyxxyxzzzzyzzxyyyyzyzyxxyxzyxyzyxyyzyxxxyxxzyxyxzzyxyyxzyxyyyzzxxxxxxxzyyxzzxxzxxzzyzzxyzxyxxyyyzyxyyyxyyyzxxxzxzxzzyyyzxzxxyyxxxxyxyxzzxyzzxxxxzzzzzzxxzxyzzyzzyxyxxyzyzzxyzzxxyyyyxyyxyyzyxzzzzxzzzzyyzxzyyxyzyyzzzzzzzzzyzxyyyxyyzxxzxzyyyyyzyzxzxxyxxxzxyzyxyzxzyzzyxzyxzxzyxyzzzyyzzyxxxyzyyyyxxyxzzyxzyyyxyxzxzyxzzzzyyyzxzyxxxyyyzyxyzxxzyyxyzxyxyxzyzzzzxxxyyyxxzxzyzxzzxyxxxzzyyxyxxzzxyzyyzyyxxzxzyzxzzyxyyyyzxxzxzzzyxxzxzxyyyxzxyzyyzzzxxxxzzzzyxzxyzyxxzyyxyzyzyxxyxyyyzzzxyzxyzyxyxxxyyyzxxzyzzyyxzxyxzyxzyxxzzxzzzzyzxzxzyxzyzxxzxzyyzyxzyzzzxxzyzyzxzzzzyxxzzzxzzxxzzzyyzzxzzzzxzzyxyzyxzzxxzyzzzyyxyxzzxyzxzxzzyxxxxzzxyyyxxzzyyzxyzzyzyzyzxyxxzyzxzyxxyxxzyyyyyyyyxzyyzyyzxyxyyxyzxxxxzyyxyxyxxyzzxyxzzyzzxyxxyyyzyxyyzxxxzyxzyzyyzxxzzzyzzyyzyzyxzzxzyzyxxzzxxzyxxxzyyzxxzzxzyzyzzxyyyyzzzyzyyxyzyzxyzzxxxxxzzzxyxyyyzzzzzxzxxyyzxxyzzxxzzyxyxzyxzzzzzzxyxyzzzxxyyyyxzyxzzyxzzzyyzzyyyyzzyxxzyzyyzxxzyyyxzzyzyxzxzzxyzxyxzxyyyyxzyyyyyxyyyxxxxxxzyyyxxzxyzxzzxyyyyzxxyzyyyzyzzyxxyyzzyzyxyzxyyzyyxxyyyyyzzzxzxzzyxyxxxxyxyxzyxzyxzxyzxxxxzzzyyxxyzzzxxxzxzyzyxxxyzzxxxzyyzxzzzyzxyyyyyyzzzzzzxxzzxxxyyyyyxzzyyxzzyzxzyyyxzyyyxzxxxxyzyxxzxxxyzxzzyxxzzyyyyxyyyyyyyyxyyyyzyzzyxyxxyxyyxyxyxxyyyzzyzxxzyzzxzyzzyxzyxyxyxzxxzxxyzyyxzxxxzyzyyxzyzyyyyxxxzzyxyxyzyzzxzyyzzyyxyzzxxyxyzzyxyyxyyxyyxzxzxyyyzxyzzxzxzxzxxyyxzxzzxyxxxyyyyxxzzxyyyyxxzyyxzzyxyyzyxyyxyxzxzyyzyyzxyxxyyzxxyyzyyyxxxyxxzyyzyxyzyxxzxxzxzyyzyxzxxyxzzyyyxyxyzxxxyzzxxzxxzyyzyzxyzzyxxzzzzyyxzxzxyzyxzyxyyxxxyzyyyyyxxxzzxxyyzxyyzzxxzzxzyyzxyzyyzzzzyyzzxzxzzxyzzxxyzxxyzyyzzzyzyyzzyyxxxzxzzxxzyxyxyyxxzyzyzxxyxyxzyxyyyyxyzxxzxxyxzzyxzxxzxzzzyyzyxxzzyzyxxzxzzzyzzxzzxzzyzzxxyxyzyxyyxyyzzzyzzzzxyyzzxxxzyxxyyyyzzyyxzzyxzxzzzyzzyyzzzzxxyzyzzyzzzyyyxyxzyyzxyzyxxxxyzyzxxxzxyyzyzxzzzyzxxzxzxzzzxyyyzyxxyxyyyxzzyxzzxyyyzxxxxyzyyxxxyzzzzyyyyxxzzzyyxxyzzzzyzyyxyzxxxzxyxyyzxxzyzxxzxyyzxyzzyyyxxyyxzyyzyzyxxxyzxxzzyyxzxzyyxzzxzyzyzzyyxzyxxyxzzxyyyyyzzyzyxyyyzyxzyxxxxxyxzxxyxyyyyzyzzyxxxzxyzxzzzzzyzxyzyyxxxxyzxyyxzzyzyxzyxyzxzyzyxyxzxxzxyxzxyxyxzxxzxxzyzzyyyxzzyyzxzxyyxyyzyzxxxxzzxzzyyzyzzzxyxzzyxzxxyzyzxyxxxyxyxzyzyzyzxzxxzxyzyyzzzzxyxxzyzyzyyyyyyxzxyzyyyyyyzxzxxxyyxxzzzzyzyyxzxyzxzzzyxyzzxxyzxzxyyyzyzzzyyzyzyxxxzxxzyxzxyxzyzzzyyxxyyxzxzxxyzzyxyyxzzxxzxyyzyxxyzzyzxzyzxyxzyyyxxxxyzzzyyzzxyzzyzzyyxxzyxzzxzzzyyyxzyzyyyzyzzyyxxyyxxxxzzxyzzxxyyzxyzzxxyzxzyxxzxyyyyzyyxzxzyyxyzzzyzxyyyyyzxzzxzzzxyzyxzzyyyzxxzzzzxyzyyzyyyxxxyxxxyxxxyxyzyzxxyyxyyxzzyyxyxyxyxxzxzxxyyzzzzxzzyyxzyzxxxyyzyxxyxyxzyxyzyzzzyzxyxyyxzzyyyzxzxyzxxzyxyzzxxyxzzyxyxzzzzyyxyxyyxzyzzyzxxxyyzzxzxxzyzxzyyzyxxzyxyyyxyyyyzxyyyyzxyyzxzxzxyzyzxxxyyzyxzzzxzyzzxxzzyyyxzyzzyyxxzyyzyyyyyxzzzzzxzzxzzyxxxxzzzzxxxyzzzzxxxyxxxyyyzxzzxxyzzyyyzyzxxxzyxxxxyxxzzzzzzyxxxyyxyyzzzxxzxzxxxzzzyzzzxxzyzxxzzxzxzyyyxyyzyzxzyyyzyyzyzxxzyzyxzxzyzzzxzxyyxzxzzyxzzzyyyzyxyzzxxxzyxyxxyzzyyxyxzxyzyyzxxxzxyzyxyyxyzxzxxzyzyxyyzxxxyyyxzyyyzzxzyzyzzxxzxyyxxzxyyxxzzzzyyxyyyyzzyxyzzxzxxyxzxyyzzzxxzzyxxxyxyzyyzxxzxxzyyxyzyzxxxxyxxxzzxzyxxzzzzzzzzxzyzyyxzyxxyxyyyzzyxzxxxxzxyyzxzyxyyyyxyzzxyzxyzyxxzzyzzxyzxzyyzxxzzyxyzzxyzyxzzxzyyyzzyxzxxxzyyzxxyxyxxzxxzxyyyxzxyxyxyyxxxzyzyyzzxyzzzyxyzzyxyzyxzxxyxyxxxzyxxyzxzxyzzyyxxyxyzyzxyyyxzxxxxzyxzxyzxxzxzzxxyyyzzyyyyzzzzxxxzyyzzzyzzxyyxzyxxyyxyyzyzyxzzyzxxxxzyyyxzyyzxyyzzxxzxxxzxxyzyyzxyyyzyyxxyzzzzyxzyxzyxyzyyzyzzzxyxxzzzzyzzxyxyyzxzzzxyxxzxyxxzyyyyxyzxyzxyyxyyyxxxzyzyxyzxzyxzxxyyyxxyzzzzzxxzxxxxzzxxyyyzyyyyzzxxzxzzzxyzxxyxyyxyzyyyxxzxxyxyzyzyxxxxzzyxxzzyzyzyxzxxxyzyyyzxzzzyzxxyyyyyxzyxxxyxzxyzxyzzzyyzzyxyxyzzyzyyyzyxxxzxzxxyyzxyxxyyzxxzxxzyzyzxzxxxzxxzyzyxxzyzxxxyyzzxzzzxyxzxzyyyxxyxxzxxxzzzyyxzyyyyyxxyyxzzyyzzzyxyyyzxzyzxzyyyyzxyyyxzyzxzzzzzyyxxyzyyyxxxxzzyxyxxxyyxyyxyzzyzzxyzzzyyzyzzxzyxyzyzyzzyzyyxyzyxyzxyzzzyyzyyxzzyxzxzyxxxzyzzyzzyxzxzyxxxyyxzyyyzzxzzzxyxxzyxyyyyyyyzxzyyxxyyxyxxxzzzzxzyyxyzxyyzzzyzxyxxzzzyyzzzzzxyyxzyxzyzyyyyyyyzxyyxzxzyyxxxxyxyzzxxyxzyyyyyxzzzzzyyzxyzzzzxzxyyzzyxyxzzzyxyxxyyzyzyxzyzyzyxyzzxzyzzzyxzxzzyzzyzyzzxzzzyyzxzyxzxzxxyyxyzzzyzxzxzyyxzyyzyxxzzyyxzzxzyxxyxxyxxzzxxzxzzyxyzzzzxxyyzzzxxyxyxzyxxyyzzyxzxzzzxxxzyzyzyyxxxxzyyyzzxyzxxxyyyzxxyzzzxxzzzzxyzxxyyyyxyxzyzzzzzzyxzxyyzzzyyzzzyxyyxxxzzyyyxyyzzyxxzyyzyzzzxyyyxzzxyxzxzzyyyzyzzzxxxyzyxzzxyyzxxzyyyzzxyyyyyxxxzzyxyzyxxyyxyzxzzxyxxyyxxxzxyxyxxxyxzxzxzzxzyzyyxzyzzzxyxzyxzyyyxzzxzyxxzyyyzyxyxyxyzyyxxxxxzyxxyyzyyyyzzzzyyxzzxzzyyxxxxxzyzxxyzxzxyxyyxyyzzyzzzyxyxzzzyyzyyxzzzxyyxzzzxxxxzxzzxzxzxyxyxyyxyzzzzxyxyzyzzyxyyyyxxyyyyyzyxyyxzzxyzxxxxyyzzzzxxzzyyzyxyxyxzyzxzzyyzyxzzzzzzxyzyzyxyyxzzzyzzzzzxyzzxxyyzyyyzzyxzzyzxyxyyyyzzxyzxyzxxyyxxzxxyxxzzxxyxzxxxxyyyyyyzzzxyzyzzxzzxyzzyyxyzzxyyyzyyxzyxxyzxzyzxxxzyzzzyzyzxxxyyxyxzyzyyxxyyyzyxxzxyxyzxyyzxyzyzyzyzzxyxyxyxyyyzzyzxyzxzzyyxxzzyzyxzzxyyyzzzzyzxzzxyzxyyyyxxzyzzxzyxzzyxyzxxyzxyyxyyxxxyyyxxzxyzyxxxxyxyzyxxzyxyzxxxzxzyzxxyzyyxzyzzxzzzxxxyxyzzyxxzxxyxzzzzyxxzzxzzyxzyxzxyxxxxxzyzyxxyyxzzyxyxyyzxyzxzzyzxyzyyxyxzzzyyxzxxzxzzzxzzyzzzzyyxzyyxyzxzxxxxxxzxxyzxxyyyxzzyzyxxxzxzzyzyzyzzzyzxxzxzxxzxyyyyyxzyxxzzxyxxxzyxzxxxyyxzyxxzxyyxzyzyyyyyyxzzzyxyzxzzyzxyxzxzzxyzxyxzxzzyzyyyzyxxyxxzyyzyzzzyxzzxyyzyyzyzyzxxzxyyzxzxzxxyzzxxyyxyyxzxzzzxyxyzxyxyzxyxzxzyxyyxyyyyyxzyyyyzzxzzzyzyzxyxzyyzzzzzzyxzyxxzzxxyyxzzxyxxzyzxyxxxyzyxxzxxxyyxzyxyzzzzxyyyyxyyxzyzzxyzzyyzzxyzzyyyxxzyxyxxxxzxxzzzzxxyyxxyzzxxxyxyxyzxzzzxzyyyxxxzzzzxzxxxxyyxxxyzyzzxyyxyxzxzyxzyxyyxxyxxxyzzxzyyxyxxzxyxyyyzxxxzxyxyzzyyzzzzxyxzxxxxxxyzzyyxxzyzyzxzxzyyyzyyxyxzxzxzxzzxxxzxxyyyyzzyzzyxzyxxyyxyxyzxyyzxzzxyxxzzyzzzyxxxxxzzxxzzxyxyxzyxzxzzxxxxyxxyzyyxyyyzyxzzxzzxxxzzyxyxyxzyzzzyxzyyyyzzzyxxxyyyxyzzzxyxxxxxyzyyxzxyxyzzxyxyzyxyxyzyzzyzxxxyzzyyxxzyxxzyyxzyxzxyxxyyyzyyzxxxxxyxzzxxzxzyzyzyyyyyzxyzyzxzzyzzzxzxyxxxxxzyzzyxyzxxyyxxyxyxxxxyzyxxyyyzzyzyxxzzxzzxxzyzzzyyxyxzzzxyyyyyzyxyyzyxzzzyzxzxzzzzyyzyzxyzzyzxxxxzxzxxyzxxxzyxyzyxxyxxxyzxzyxyzyyzxxxzxyxyxyxxxxzxyzzxyyyzyyxyxxyyzzxyyzzxxzzxyyzyzyzxzxyyxyzzzzzyzyxxyyzxxxzzzxxyzxzzzzyzxyzxzzxyzzyyzzzyyxzxzzzyzzzxxyyzzyxyyyxxyxzyzxyxxyzyxzyxzyzyxxzyyxyzxzxxxzzxyxzxyyxxxxxyyxxyxzzxxzyxxzyyyzxzyyxzxyxxzxzzzzzyxxxzzxzxyxzxyxzyxxzzxzyzxxxzyyxxzxyzxzxzxyzzzyzzxzxyzzzyzyxxzzzyxzzxyzyyxxzxxzyyzxyyyxxxzzyzzzxzyyxyxzxyyyyyxxyxzyzyxzxxxyyxyzzxxyzzyxxzzxxzzyxyxyxyzzyxyyyzzyzzzyxyzxzzyxzxxyyxxzzxzxxxzzxzxyyyxyyxxxxyxyxxyyxxzyyxzzzzzyzyzyxxyyxyyyyzyxyxyxzxyxxzyzxyzzyxyzzxzzxyyyxxxzyyyxyzzzxyzxxxxzyzyzyzxxzxxzzyzzzyyxyzzzxxxxzxzxzxzxyzzzxzzyzyxyzyxzxxxzxxyxzzzxzxxxzxyzzzyxyzyzyyxxzxzzzyzzyzyzyyyyzzyxxxzzyyyzzxzxxzzyzyzxyzyyzyyxyzzxzzzzyxxzxzyxyyyzxzxzxxxyzxyyxyyxyyyxzxyxzxxyxyyzzyzzzyyzyyzyxxyyyzzxzzyxzyyzxxzxxzyzzxxxyxxyzzyzyxyzxxyzyxzyyxzyxxyzzzxxyzzyzyzyxzzyyxzxxzyxzzzzyyxyyyyyxzzxxzzzxzxxzyxxzxxxxyyzyyxzyzzzzyyyxxxyxxzzyzxzzyzxyxyyzyzxxyyzzxyyzzyxzyzxzzxzzyxzyyxxyxyyyyzzxzxzxzyyxyyzyzzzzzxxyzzzyxyxxyxzxzzyzxyyxzzzzyxxzyyyxxxzxzyyxyzzzxyyyzxzyxzxyxyzzzxzxyzzyxxzzzxyzyzzzzyyyzyxyyxxyzyyxxxxzzzyzzyxxzyzyyzzzyyyxxxxyyzxyxyzzzxxxzyyyzzyzxyzzyzyyyxyyxzyyzyzyxyxyxzzxyzzzxzxyxxyzxyzxyyxyxyyyxyyxzyyyxxxyyyzzyyxyxyxyyyzxyzyzxxxxzxzxxxyyzxyyzyyzxxyyzyzyyxzyyzyxxyyyxyxxzyxxyxxzzxyxxyzyyzxyzxyyzzzzxxzzyyzzyzzzxyyzxyxzyxyzyxxyzyyyzxxxyzxyyyzxxxxyxxxxxyxxxxxxyzyzxxxzyzzzzyyxxyyxzxxxyzzxzxxyzyzzxzzzzzyyyyxyxxzxyyzyyzyxxzyxyyxxzyzxzxyxxxzzyyzyzyzxzzzxzxyyyyxxyyxyxzyxyxyxyyzzyxxzxzzzxxxyxzyzxxyzzyzyzxyxzxyyyzzzyyyxxzxxyxxzxzzzxyyyzzyyzxyzzyxyzyzxzzxyxyzxxyyyzyxyxyxzyyxzxxyyxxyyyzxxyxzyyyxzyxzxzzyyzxzyzzzxzyzxyzyyzyzyzxxyzzzzzxzyzyxzyzzyxyxxxyyxxzyxxxyzxyzzyzxzxyxyxzzzxyxzyxzxzxyzxxzyxyzyyzzxzzzzxxyyzyyzyxyyzxzyxzxyyxzzxyyzzzxyzyxzxyyxyzyzxxxxxzzyzyyyxyyyzzyxyyzzyzzyyyzyxzxxyzxzzxyxxxzyzzzzzxxzxyxyxxxxyzzyzxyyzyzzxxxyzyxzyzxyzyzzxyzzxyyyyzzyzxyzxxyyxzzzzxzzxxzyxyzxyyzyzzxxxzxxzzxyxxzzxxyxzyyyxxzzzyyyzxzxxzzxxzxxyyzxxyzzxyzyyzxyxyyzxyyzyzyyxzyxzyxzxxxyyyzxyzyyyxyzxyxzxxyxzyyxxzxzzzzyzyyyyzxyxzxyyxxzxyzxyzyzyyyxxzyyyyyxyzxyzzyzxzzxyxxyzxxxyyzyxzyyyzzxzxxxzxzyyyyyxzyyzzzzyzxyxzyzyxyyyxxzzyxzxxxyzzxxxyxxzzyzzyxyzxzxyzyxzxzxyxxzyzxyzzxyzxxzyxzyxyzxxyyzzzxyyzyyxyzzzzxxxyzyyxzxxyxyxzzxyxyyyyzxxyyzyxzzyxzyzyxyzyyzzzyxyxzzxxxyyzxzzzzzyxxxyyxxxyyxyzzzzxxyxzyyxyzzxzxzxxzyzyyzxyzzxxyyzzxxzzyzzxyyzzzyzzyzzxzyyxzxyzyyyyxzzzyzxzxyxxxyyyzzzxzyyyyxyxzyzxyyyyzyxxyxxxyzzxzzzxzzzxyxyyyxxxxzyyyyyzxyyyyzzzyyzxzyxxzyxxzxyxyxyxxyzyxxzyyyxyxxyzyzzyxyzyzzxxyxyzzxyyzxyzxxzzxxyxzyxxyzyzyxzzxxxzxzxzzxzzzxxyzxxyyzxzxxyyyyyxzyxyzzzxyzxzzzzxxxyzzyyyzxzzxxzyyzyzxxzxxyxyxyzzyzxzxzxzxxzxyxxxzxyyxzxxyzxxzxxyyxzzzzzyyxxyxyyxzyzxxxzxyzyyxzzyzxyzyzzyxyzzzxzyyyzyzzxyxzyyyyzyyyzyxyyzyyyxxyxzzyyxxzyxyzxxzzxyyyyyxyzyxzyxxyyzzyyzxzxxzzzxxzyxxxzyyxzzzzzxyyzzyzyzzyzxzzxxxyyxyyxzyzyyzzxxyyxxxzyyxxxyzyyyxyxxxyyxxyyxyyyzyyyyyzzxyzxxyxxyzyzxxyyxxyxxzzxxxzxxxxyxxyyyxyxyzyxzyyzxzyzzzzyyxyzzxzyyyyzzyzyyxzxzzxyxzxxxyzzyxxzyzyxzyzyzyxzxyzxzxxyxzxxyzzzyxxyzxxyzzxxzyzxyyxyyzyxyxzyyyzxyxyzxzxxxzxzzzyxxzyxyyyyyyxzzzyxzxxyzxyzyxzxzyzxyxxzyxyyyyzzzzyzxyyyyxxxxyyzxzxyyxyyxyxzxxzzxzxxyzzxyyyzyyyyzyzxzzyzzyzzxyxyxyzzyyxyxxzyyyzzyxzzyxxyyxxyxzzyzzyyzyyxxyzyyzzyyxxyyzxxzyzxzzyxxzyyyzxzyyyxzyzzyxyyyxxyyxxzyyxzzxyxzyyyzxzzyxyxzyyzyyyyxxyzzyzyzzzyzyzzzxyzxyyyzyxzxzzxyxyyzxyyzxxzxzxyzyxxxyyxxzzyzxzyyzzyxxyxxyxxyyxyyxyzyyxzzzyxzxyzyxyxyzzzyzxyyxyzxxxzzyyzxxyzxxxyyyyyxxyxxyzzzxyyyzyxzyzxxyzxyzxyzxyzzxxxxyzzxzxyxyxxxxzzyyyzxzxxxxyyxyzxxxyyyxzxyxxzzyzyxzzyyyxyxyyxzyzyzxyyzyyyyyzzxzxxzxyxxyzyyyyyzyzzyyyxyxzyxyzyyyzzzxyyyyzyyzzxxxxyzzyzzyyxxxyzzxxzzzxxxyyxzyyxyyxzyyzyyxxyyzzzzzxzzzzyxyyxyxyzxyxyzxzyyxxzxyyyxzyzyzxyyyyxzyzyzxxzxzzzzzyxxxxyyzyyzyzzxxzyzyxyyyxzyzyxyyxxxzyyxxxyxzxzyyxyzyxyzyzxyxyyyxzzyzxxyyzxyxzzxyzxxxzyzxyzzzyyzzzxxyyyzyzzzxzxyxyyzzyzyxzyzyzxxzxyyyyzzyxyxyzyyxzzxyyyzyyxxzyxyzxzzxxxzxxxxxzxzxxzzzzzzzxyzyyzxyxzyxyxxzyzzzyyzxzyxyzzzyyxxxxyxzxzzyyzxxzyyxyxzyyzxzyxyxxzzxxzzzxzyxyyzxzxxxxxyxzxyyyzyyzyxyxyzzxzzxzyxxyzxzxzyzyzyyxyzxyzxyyyxzzyxxxzzyxzzyyzxxyyyxzyyzyxyxzxzzzzyxyyxzzzxxyxyxxzzxzxxzxyyyzyyzyyzzzxyzxzyzyzyyyxyyyzxzyxyzyxyxxzyzxyzxzzzzzzzzyzzyzxyzxyzzxyxyxxzxzxyyxxxxxyzzxzyyyzxyzzzxyzxzyyzxzyxxxxzzzyyyyyyzxxxyxyxxzxzyzyxyxzyyzyyyzxzxzyyyyxxxyzxxyzzzxyxyzyyyxzxyxzxyyzzxzxzzyzyxyxyyzxyzxxzxzxzyyxxyzzxxzxzxxyzxzzyyyzyyxzxxzyzxyyzxyxxxxxzxxxzzxyzzxzyxyyzxzxxzxxzxxxzyxzxyxyzxzxzyyyyyzzxyxxzyzyzzxyzxyxxzxyxzxyyxyzyxzxyxzzzzzyyyxxzzxyyzzzxzzxxxxyxxyzxyyyyzyxzxyyxyyxyxzzxxxxzxyzxzyyzxzyzzzzzzxzzyxyyxzyxxxxzyxxzyxxyxzxyyyyyyxxzyzyxzzxxzxxyzxyxzxzyzyxzxxxzxyzxxzyyyzyyzyyxzzzyyxyzzxzxzyxxzxxyzyyxzxzyyzxxxzyzyyxxyxxzyzzzxyyzzyzyzyzzyzyyyzzyzyzzxyzyyyyzxyxzzyxxxxyxxyxxxxyxyyxxyzxzyyxzzxyxxzzzyzyzxzzyzyzxzzzzzzxyzxxxxyyyyxzxyzyxyxxyxzyxxyzzyxzxxyzzzyzzxyzzzyyyxyzyyxzxyzxxzxxxzzyzzzzxyzxzyzzxyyzyzxyzyzyzxzzyxxyyxyyyxyyzzyyyyyzzyzxyzxxyzxzyzyyzyyyyzzxyzyzxxyxxzzxyyzzxzzzzyxzyzzyyyzzxyyzzyyzxxyxzyzxyyyyxyzxxxyxyyxyyyzzzzzzyxxyxyzyyyyyyxzxzyyxzxyxxxyzyxyxyxzxyyxzyzyxxxzyzyxyzyyzzzyzxyxyzzxyzxzxyzyxxxxyxzzzxzyyyzxzxxzyyxyxyyxzxyzyzxxyyxzyxzzzyxzzxxzzzzzyxyxyzzyxxyyyyyzzzxzzyxxyyyzxyxxxxzxzyyxxzyyxzxzyxzzzyxzzxyzzyxxxyxzyxxxyzyzyzyxzxyyxzyzzzzzyxxyyxzzxxxzzxxzxzxyzzzxyzxxzzzxzzyxxzzyzxyzyxyxyxxzzzxyxzzxzxzyzyzxxxyzxxyzyyzxyzyyyxxzxxzxyyyzzzyyxxzyxyzyyyyxzyzxxzzyxxyyyyyyzxzzzzzzyzyyzyyzxxzxxzxzzzzyyzzxzxyyzzxyzzxxzyzyxyyzzxxxyzzxzzyyzxxzyyxyzzzzxzzyzyyzzxzzzyzzxxzyyzzxyxyxxzzxxzzxyzxzxzyyyyzxyzxxxzxxzyyzzxzzyzyyzyxyxxxyyxxxxzxzzyyzzyzzyxxyyxzzyyzyyxyzyyxyyzyxxxyxxxzyyzzxzyzzzyzzxzxyzyxyyxyzzzyzyxyzyzzyzzxxyxzyxzxzyzyxyzxxyyzzyzzxxxzzxzzzyxxyyxyxyyzyyyyyzyzxyxzxzyyzyxxxzxxxyzxxxxxzxxyzzyyxxyyzzyyyzxzxxzxzxzxzyxyyxxzxxxxxzxxxyzxzyxzxyxzyzyyyzxyzxxxzzyzxyyzzzxzyxzxyxxzxzxzyyyyzzyyzzxzxxzyzxxyyzxxzzzyxxyxzyyyzzxzxzyyzyzyyzxzxxyyyyxzyyyzxxxyzyzzyyzyyyzyyxzzzzzxyyxyyxxyyzyyzzxxzxxxxxyxzzxyxxyxyxzxyxyzxzzyzyzxyyzxzzyzyxyyyzxzyyzyxzyxzxxzxyzxxxyzxxyxyzzyxzzzzyxxyxxyxzxyxyyxxxxzzzyzzyxxyyxyzzxzzxyyyyxzxyxyzzyyxxzzyzyzzxxzyxyxxyyxzzzyyyxzxzzxzyzyyyxxxxxyzzzyxzyzzzyzzzzzzzxyxyyyzzxxxxzzzyzzzzzxyxxzxxyzxzyzxyyyzxyzzyyzxzyzzyxyyzxzyxzzyyxzxyyyzzyzxxzxxzyyyzzzzxzyxzzzyxyzyxzxyzxyzzxzzyyxyyyzzzzzzyzzzyzxzxxzxzzyxyzxyzzyzzxyxzxzyzzxxyxyyxyyzzyxzzyzxyzxxzyzxxxyzzzyxzxzzzzzxyxxxyyzxyzyxyzxyzzxxyxxzxzxyyzxzxxxzxzyxyyxxzyxzzzzzyzzyzzzyzxxzyxxzxyyyyxyyyzxxzxyzyxzzzyxyxxzzyxyyxyxzxyzxzxxxxyxyyzyzxyxxyxxyxzyxyzxyyxzyyzzzxxxyzyzzxzzzyzzyyxyyyxxyzzxyzyzxyxxxxzyyyyyxyyyxzxyzyyxzzxzxzyxxxxxxyxxxzzzyzzzxxyyzyzzyxxyyzxzxxxxzxyzyxxzzyxzzyxxyxyzyyzxzxyzyzyxzyxyyyyxzzxyzxzzyzxxxyzxzxyxyyzyxzzzyyyzxxyxyzzyxxyzxzzyzyzzxzzxxzzzzyzxxzzxzyzyxxxyzxzzxzyxxxyzyzzxyxyyxyzzyyyxxzyxzzzzxyzzzyyxzxzzxyxzzxxyxxyyxyyzzxzyyyxzzyzxzyyzxyyzyyyyzyyxxyzzyxzxzzxxzxxzyzxyxxzxyxzxzzzxxyxzzyzxxzzyyzzxyzyzyyyzzyyzyxxzyzxzzxzxzzzzyyxyyyyzyxxzzxxxyyyzyxyyyxyxzyxyxzxzyxxyyxyyxxzxxyxyyyxyyyxxzzzyyzyzxzyzxxyxzzxxyyxxxxxxyyzxzxyxxxxxxyzyxyxyxyzxxxxzxxyzyyyzyzxzzxyxyzzyzxyzyzxxxyyzyxzyxxxyzxyzxyzxzxzzyyzzyzxzyyxxzzzyzxzxyzyxyxyyyyxxzzyzxyzxxzyzzyxzxyyyyxxzyyyyyxxzxyyzxyzxxzxzzxyzyxxxzxyzxzxxzzyxxyzxzzxxyzxyzxxzxyxxxzxzyyzzzyzzxxzxxyxzyyyyxzyyzxxxzxzyzyzxyxyyxyxyyyyzyyyzyxzzxxyyxyzyxxxyxxyzyyyzzzzyzxyyyxyzxzzxyyxzxyzyyxzyxzxxxxyzxzxzxzyzzxzzyyzxyxyzyyyyzxxzxxxzzxzzyxzxxyzyyzzzyyyyzyyyxyyyxyzxyzxzxzxzyxxyxxxzyyzxzxyxyzyxyyzzxyyzyxyyxyzyxxxyzyzxxxxyzxyyyyzzyyxzxzzyzxxxxzxyyxyzzzzyyyxzyyzyzyzxxxxxyxzxxzzxxxxzyzzxxxxyzzxxyzzyxxzxxyyxzyxzyzzxxyyxzxzyxyyyyzxzzyzxyxzzzyyxzyzzzxyyxzyyyyxyyyxzyxxzzxyxyxzxyxyyzyxxxzxzyzyyzxyyzyxzzzyxxxxxxyzyzzxxzzyzyzzyxzxxxyxyyxyyyzyxxzyyzzxxzxzzyxyzxxxyyzxyxyyyyzyzxyzzxyxzyxxzzzzxxzyxyzzzxyyyxzzxyyzxxyyyyxzyzzzxyxxyxyxzyyzyxxyxyyzxxyyyxzxxyxzxyzyzzyyxzyxyxxyxxyxxyzzyxzyzzzyzzyxxzxxyyyzyzyyzyxyyxyyzzxyyzxyzzyyzxzxzzyxyxzzxyxzyyzyzxyyzyzyxyxyzzzyyzxzxyyxzzzxyzzyzzxzzzyyxxyxyyzxzyxzzxzxyyxyxyxyxxyzzzzzxzyyzxyyxzxzxzzxxxxyxxzyxzzyyyxyxxxzyxyxxyxxyxyyxyxxxzxxxzxxxzzzyzzzxxzyxyzyzyyzyxyyyxxyxxxxxzyxyxyxzyyyxzzyyxyyzzxxzxzzyzxyyzzzzxzzzxxxxzyzzzxxzyzzzyyyyxxyyzzxyxzyzxxyyyyyzxyzyxyyxzxxxyyxyxxzzzzyyxyxyxyxxyyyxzyzxxyxzxyxzzyxzyzyyyxyzyyyzyzyyyyyyyyxyzzyzxzyxxzzyzzzzxzyyyzyyzzyzxxzzxzxxyyzzzzzyxyxzyyzyzzyxzyxxxzyxyzyxzyxxyzxzzzyyyxyzzxyxyzzxzzyxzyxzyyyzzyxxxzxxxyxzzyzyxxzyxxzxxzzxyyzxzzyyyyzyzxyyxzxxyzzyyxyyyzxzzzxyzyzxyzxzzzxxyzxxzyxxxxyzzxxzxyyyzzxxxzzyyyzxxxzzzxzyxzxyxyxzxxzyyyxxzzyzzyyxxxxyyyxyyzzzzxyzxxxyxzzxxxxxzxxyxzyyzzzxzxxyyxyyzyxzyyzxzzzxzzxyyyyzzzyxyxzyyyyxyzyxxyzyxxxzzyzyzxxyxyxxzyzzzxzzyxxyzzzxyyyxxyyxyzzxzyzzzyyxyxyxyzyyzzzyzzzxxzyzzxzzxyyyyyxzyzyxxxyxyxyyzyxxyxxxzzxzzyyxzyxzzxzxyyyxyzzxxyxxzyzxyyxzzyxzxxyzzzyzyxyxyxzxzzxxzxxyyyyyzyyzzxzxyzzzzxyyyyzxyzyzzzxyxxxzyxzyzzxyzyzzzxxxyzyxyxzyyxzyxzzyyzxxyzxxyxyxyyzyyzyyzzxxyxyzzxzyyzzzyzxyyyxyyyzxzxzyzzxyyyzyyyyyxzyzxxzyyzxyzzyzzzzyyxzyxyxyyxxyzyzxyzzxyzzxxyxzzxzyxyzzzzxzxzzxxxzyyzyxxyzyzyzxzxxyzxzxzzzyzxxzxxyzzyzxzzyyxyyxzyyyyzzxzxxxyzxxyxyzyxzxyzyyzxyxxxxzzzyxzzyyyxzzzxyyzzyyxyzzyyyyyxxzxyyyxyyyyxyxzxxyyyzyzxxzxyxxxxyzzyyzyyxxyxzzxzyzyxzyzxyxxyzzyyxxzyxxyyxxxyxyyxyzzzyxyyyxxzyyyxxzxzzyyzyxxyzzyxyzyxxxxxzzxzxyyzyxxxzyyxzxzyyyyxzyyzyzyxxxzzxzyxzxxzyxzyxxyxxyzzyyzzzzzyxzzyxxyxxzxzzyyzzxxyxyzxzyyxzyyxxxzzzyxzzxzzxyyyzyzyzzyyyyyyyzxzxyxzzzyyxzzyzyxyxxzzxzxzxzxyzyzzyyxzyxzxyyzxxxxzyzzzyyxxzzzyyyzxxxxzxyzzxxyxzzzxxzyxzxxyxyzxyxyxzxzxyxzxyyyzxxxyyxyyyyyyxyzxyzzzzzzxxyzzxxzzyxyzyyxyzzyzyyyxyxzxxxyxyxxzyzzyxxyyzzzxyxyyyzzxzxzxxxyyzyxxxyzzyyxzzyyxyyyyxzzxzxzxyxxyxxyzyzyzxyxzxyzzxyzxxyxzzyzzzxyzyxxxxxyzxyyyyzyxzzxzxyzzyxyxyzxzyyzxzxzzyyyyxxyyyyzxyyyzxzxzyxxyyyxxzyzyxzyxyzxyxyxxxyyyxyyyxyzzzzxzyxzzzzzzyxxzxzzyzxyyxxyzyzzxyxzxzzyxxyxxxyxyzyzzxzzxyxxzzzxxyyxxxzxzxzzyyyzyxzyyzxyzyzyzyzzzzzyxzyyyxyyxxxxzyzxxzyyzxyxxzxyzyzyyxyzzxyzxyyyzyzxyyxzzxzyyxzxyyxzzzyyyyxxzxyyyxxzxyxzxxyzyxxyxzzyyyxzzyyzzyyyxzzyzxyxzyxxxxxxyyzyxxyzyzxyzyzyxyxxzyzxyyzzyyxxxyzyxyyxxzyxxxyxxyzxyyzyyyzxxzyxxzxyyxzxzxyxxxyyxxyzzyzxzzyxzyxzxzzyyzyxyyzxxzzxzxzyzxxzyyyxxyyxzyzxyxyzyxxyxyxyxyxzzxyzyyyxzzzxyxzzxyyyyyxzxyxyyyzzzyxzyxxxyzzzxyzxyzyzxxxxyzyxzyyxzzxzyxzyzzxzyyzyyxzxyzzyxzxyyzzyzyzzzzyzyzzyzyyxxxxzxzxyzyzyyxxyzxxyyzyzxxyxyyzzxzzxzxzyxzyzxyxyxzxyyzzyxyyyzzxyxyyzzzzxyzyzxxyyyzzyyzyxyzzxyyyyxxxyyyyzyxzzzyyyxyzyzzyzyxyyzyxxyzxzyxyzxxxzyxyxyxzyxxxxyzyzzxzzzyzyxyyyyxyzxxxyxyxzxyyyxzyxxyyxzyxyyzzzxzyxyxxxzxyyxyxxyyxzzxxzxxxzyxyzyyyxyyyyxzzyzyxzxzzyzzzxxzzxzxyzyyyxzxxzzzxyzxzyzxzyxzyxxzyzzzyyzyzyyxxyxxxyzxzyyxzzxzyyzyyxyxyyyzxyxzzzxyyzxxzzzxxyyzxyyxzyxxxyzzyyzxxzxzxzzxzzzxyyxyzzyyxyzyxxxzyzyxxyyyzzzzzxxzzzzxzxyxxxxxzzxzxxzyzyyxyyzxxyzzzzzzxyxzzyzyyxzzzxyxyzxxyxzyxyyzyzzzzyxyxxxzxxzzzyyxyzzyxzzzxxzzyxyzzzyxyxzxxxyyxyzyzyzzxzyyyyxzyyzzxxxxyyxzxyyyzzzzzzzzyzzxzxyzzyyzzxyyxzxzyzxyzzxzxyzxxxzzyyyxzyyyxxzzyzyyxzxzzzxxyxxzxyyxyyxxyxzyzxyxzyyzyxyzzyxzyxyzyzzzyzzzyxyxyzxxxzzxxxyyyyxzzyxyyzzxyyxxyzzzxxyzxyzxxxyzxzxyyzxzxzzzxyzzxyzzzyyzyzyxxyzzxxzxzzyyxxyxzxyxxxxzxzyxyxxzxxzxyzyzzxzxzxzyzxxxxxxxzzyxxzzyxxxxzyyyyxyzxyxxxzxxzyzxyyyyzxxyzzyzyyxyxzzyxzyxzzyxzzxyzxyzzyyzzxxzxyxxyyyzzyyxyzxxyzyxxyzxzzyxxzyxyxxxxzxzzzxyzzzzxzxyyyyyxzyzyzzxxxyyxxyyyxxxzxxxxxxzzzyzzzxzxxyxxxzxxyzzxyyzzyxzzzxxyyzyzxxzyxzzzyxzxxxzyzzzzyyzyyyxyxyxxyzyxyxzzyzzzzxzyzyyyzxzyzzyyzzxxyyyxxzxzxzzyyzyzyzxyxzxyyyxzyyyyzyxzxyzyzzxzzzzyyxyxzzyzxzyzxxyyzyxxyyxzyyzzxxyzxzyxxyyzzxyxyyzyzxxzyzyyyyyzxyzyxzxzzyyzzxyyxzxyyyyyzzyzyyzyxxzyzzyxzzxyzzyzyzxzyzzxzzzzxxyzyxxyzzxzzzxyzzxzxzxxyzxxyzxxyyzxyzyyyzzyyxzyzzxyzyxyyzzxxyzzyxyzxyyyxxxxzyyyzyzyxzyyyzxyxyxzxyyxyxxzxyzxzyxxxyxyzxyxzyyyyyyyxyyzyzzzzyyxxyxyxyyyyyyxyzxyxxyyzxyyxyzzyzyxxzxyzzzzxyxzxyxzzyxzzxxyzxxzxyyxzxyzyyzzzzxyyxzxzxxxzyxyxzyyyxzyzyzyxyzyyzyxzxyzzyyxyyzxzxzxxxyzyyyyyxxzzxxxxzzyzyxyxzxyxxzxzyyzyzzxyyxyzxyzxxzxzyxzxxzzxzzxyyyyzxyxzzyxzxzzzzzzxyyxxxzzxzzyzyzyxzzzzxyzxyyyzxyxzxyzxyyzzzzzzzyzxzxxxxxxzxxzxxyxxxxxyyxyyxxyzzxyyyxzzzzxyyxyyzzzyxxyyzyxxzzyyzyxyyzxzzyyzyyzxzxyyxyzyzxzxyxzxyyxyyxzzyyxyzxxyyxzzyxyzzzxyxxxyzxxzyxyyzyxzzyxxxxxzyxzzxyyxyyzxxyzxzyxxzyyyyzyxxyyyyzxyxxyxyxxzzxzxzzzyzxyzxyxyzxxxxyxzyyxzzxyyzyyzyyxyxyyxyxzyxzzzzxzyyzyxyyzzxzxxxyxyzzzyxxyxyzzyyzyyyyyzzxzxzzyzxzxyzxzxxzxzyxzxzxzxyzyxzxxzxxyzyyzxzzxyyzzyyxzzxzzyyzyyxzzxxzzyxzyyxzyzzzyxzyyyzyzzyzzyyxxzyyzxzzxzzyxzzyxyxyzyzxzyxzzzzzyyyyyyyzxyzzyxzyyyyzzxxxyyyzyxxyxyxxyzyyyxzzxxzxyxzyzyyzzzyyyyzzxyzyyyxzzxyzzxyxxyzzzyxzxxxyzzyyxxzxyyyzzxxxxyyyxzyyyzyxzyxxxxzxyyzzyxxzxyxxxxxzyzzzyxzzzxzzxzzzzzzxxzxyzxyyzxyzzzxzxyzxzxzxxxzzxzyzzxyyxyyyzzyyyzxxzxzzxyzxyyxxyxxzxyyyxxyxyxxzzxyzyxxzxzzxzzzyxyzxzxxyxzxzxyyyxyzzyzyxyzzxxyzzyxyzxzyxxyxyzyyxzxyyxxzxxxyzxzyyyxxyzxxxzzyzzyyyzxxyxyxzxxxxxyyyyyzyzxyxxyyxyyyyxyzzxyyxyyxzzzxzzxyxyzzzzxzzyxxyzzzxyzyxzzyyxzyzyyxxzyyyyzzzxzzyxzzzzzxxxzxzyzxxzzyxzzzyyzzxzzzzyzyyxyyxzzxxzyzxyzxzxzzxzyxzxxzzyzzyxzzyxzyxxyxzyzxxxzxyyxyzzyxyxzzzyxyzyxzyyxyxyzyzzzyyxzzzyzyxzyxzyzxxyyxzxzxxzxzyzyxxzxzzyxyxxxxxyzxxzxzyzzxxyyyzyxzxxyxyzzzzzzxzzyzxzxyzxzxzxxxzxzxyzyxyzzxyzxyxzyxxzxyyzxxzyxzyxyxzxxxxzyyyyyzyyxxyyyzxxzzzzyyzyzyyzxxxyxxzxyxzzyzyxxzxzxxzzzzxzzyxxzyzxzyyzyxzxxxxxyyxzyyzzyyxyxxxzyzzyxzzxyyyyxxzzyxxyzyyxyxxxyxzxzxxzyxyxyzzzxzxyyxxyyxzzxzxyxzxyyzyyxyxzzzzxxyzyzxzxyyxyyxzyxzyzzxzxxzzxzyxxxzxxyxzyxzxzxxzxyzyzxyxyzyyzzzxzxxzxzxzzxyxyyzyxxzzxyzyxxxyyyxzzzzxyxxyzzzxzzzyyyyxxyxzyxxxxyxyxxyzzyxzyyxzyxzyxzxyxzzyxzyxxzyyyyxzxzzzzzzyzxzzxxyyxyxyzzzyyyxxxzzzxyzxzyyzyyyzxyxzzzzyzxyzzyyzzxxzzzyzzxxxxzzxxzyzxxxxzyxyxyyyxyxyyxxxzzyxyzyzyyyxyzyyxyyzyzzxzyxxxxyxxyxzyxyyxyyzxxzzxxzxxzxyzzzxyzzyzyzyzyxyyxzxyzxyzyxyxzxyzzzzxxzyyxzzxzzyxzxxxzyxyyyyzxxyyxzxxxyxxyxxxyzzxyxxyxzxzzyxxxyyyyyyxxyxyzyyxzyyyxxyyxxzyzzxzxyyxzzyxyyxyzzxzzxyyyxyxyzxyzzxxyzxzzxyyyzxyyzzzxxyzzyyzxyzxzxzzzzzzzzyyzzxzzyyyzzzzxzyzxxzxzzxxzzxxxxxyyzzzyyxyxyxxxyxyxyzzyzzxxzyxyzzxxyxyzzxyxyzyyyyzzzyzxxyyxzyzxyyzxxzzyxyzzxxxzzzyzzyzyzyxzxzzzxxyzyyyzyxzxxxzyxxzzzzzxxxxzzyzzyyxyxyyyyxzyxzzxzzxyyzxzzxyzxzxxzxxyyxyyyxxyyzyxxyyxzyxzxzxxxzxzzyxyyzzyxzyyxxzxyzzyzyyyxyzyyyzzzxxxyyyxyyzxyxxzzxyzzxzzzzxyyyyyyzzxzxzyyyxzyzzxzzzxyxzzxzxxxxyxyxzxyxyzzxzxxxyxzxyzyyxyzxxyzzxyzyyzxyxyzxzxzyzzxzyzyxxyzxyyxxzyxzxyzzzzzyyxzyxzzyzyxyyyxyyzxyzxzyxyyxyyxyzxyyzxzyxxyxxxzzxxxzyxyyxyzyxzzzyyyxxxxxxyxyyzyxyzxyyyzyzzyxxyzyzyyxzxzzzyzyxzzxyxzxxzyxxxxxxzyzyzzxyxxyyxzzxyxzyzyzzyyxxyyyyzxyxzyxxyyxxxzyzzzzzxyxxzzzzyxzxzxyzzzzyyzzyzyzxyyxzzxxzzyxyxzyyxzzxyzzyxyzxzzyxyxyyyyyzxyzyxxyyzyzyyyyxzyyxxxxxxxyyxxyxyxyxyzyxxzxyxxzzyzzxzzxyzxyyzyyzxxzzzxyzxyxyyyyyyxzyzxzxxxzzyxyzzyzzyzxyxxyxyxxyxxxxxzyxyxzxxzzzxyxxxxyzyyxxyxyyyyzxxzyyxzyyyzxxyzyzxxzyzzyyyxyxxzxzxxzzyyxxzzyzzzzyyxzyzxxzyzyyxzyyzyyyzyxzzzzxyzyyzxzzzxyxzzxzyxyzyzyzxzzxxxzxyzxzzyxzyyxxyzyzxzyzyxxzxyzxxyyyzyyyzxyyxyyxzxzzzzxyxxzxyxyyzyyyyzzzyzyzyzzxyzzxxxzzzxyyxyxyzzyyzxxyyxxzxxyzxyyxzxyzzxxyyxyxzyxxyyzyyzzxxzxxxxxyyxyxzzzzzzxxzzzzxzzzyxyxzzxzyxyyyzxzxyzzzxxyxxyzzyyzzyyxzyxzxyzxyxzxyyyzzyxzxxzxzyyxyzxzyxyxzxxyxxyyzxxxyyzzxzxzzxyxxyxyyyxxyyzzxzzzxyyxxyzyyzxxzyxxxyxyzxyyyyyyzxzyxxyzxxyzxxxyyyyzzzyzxyxzxxxxxzyyxxxzxxzzzyyyxyyzzzxzyyyyyzzyyxzxzxxyzxxzzyxxzyyyzxxzzzyyyxyxyzzxyxyxxyzxyzxxxxxxzzzyyyxyzxyxzxzxxzyzxzyxzzyzxxyxzxxxxzxxzzxzzzzyzzxzyzxzyyzyzzzxzyxzxzzyxxxxxyzyyzzzzyyzzxzyxzzyzyxxxyzxxyzxxxzxxxzxyyyxxzxyxyzyxxxzyxxyyyzxxzxyyzyyyyxxyyyzzyzxxzyxzzzzxxyxyzxyyyyyyzxzzxyzzxyxxxyyxzzzxzyzxyxxzzyzxxyyzzyxyyyzxzyzxxxyxxxxyzxyyzxxzzzzzzyyxzzxyyyzzxyyyyzzxyyxzzyxzyxxzzxxzyzxxxzzxxzxzyzzzyzzxzzyyyyxyyyyyyyyxyzzyzyzxxzyyxyyyzzzzxxyyzxzzzxxxxxxzyxyzxyxzyzyzzzzyyzxzxxxxyzxzzzyzxzzzzyxzzyxxxyyzyxyxxyzzyyyxzzyyzyxyxxxyxxxzxzxyzxzxzxzxzyzyzxzxyxyxxzzzzzxxxzxxyyyzxyxzyyxxzyyxxzxxyxyzzzxzzzzyyxyyyzzzxyzzyzxyzyyxxzxxzzxxzyzzzzyzyyyyyxzyyxxxyxzzyzyyzzzyxzzzyzzxxxyxyzyyzzzxyzyzyyzxxzzxxyyyyyyzzzyyxxyyyxyzxzxyyyyzyzyxyyzxyyyzzyxyyzxzyyzyzyyyyzzyxzzxzyxyyzxxzxyzyzxyxxyxxyzyzyzyyyzxxyyxyxyxyyyyxyyyxzyzzzzzzzyyxxyzyyyzyyxxyxxxyxzzxzxyxzxzxzyxzxzyzyzxyzyzxyyxzzyyzzxyyzyxzyxyyyyzyzzyzzyzzxxzxzyxzxxyzzxzzxzxxxzxxzyzyzyzxzyxyzyzxxxzxyxxxyxyyzyzzyzxxxxyzxyyxyxyyyzxzyxxyxzzxyxyyxyxzxxzyyyxyxyyxxzyzyzzzzyxxzyyyzyyyyxxzxzyzyxyxyxyzyzzzxzzzyyyxxyzxxxxyyyzyxxyyxzxxzyyzyxzzxyxxxxxzzxzxzxyyzzxzyzzxyyxxxyzzzyyzxzzzyzzxyzzzyzxxzyzzzxxzzyxzzxyyzxxyzxxxzxyxyzxxzyzxzyyzxxzyzyxzxyyzyzyzyyyyxzyyzxzxxxyzzyxyxyzyxzxyxxyzxzxxxxyzxxyyxxxzyyyzzxzxyxyzyxxzzxxzxyzxxyyzzxxzxyzxyyxzyxyyzzyzxxzxxyyzzzyzxxxxxzxyzxyyzzxzyzyyyyyyyxzyzyzxxyzzzxxyyxyzyzzyxxzyyyyzyxzyxyxyzyzxxyzzyyyxzxyzzyyzxxyyzzzyzxxzxzzyxxyyzxyxxzyxzyyzyzxzzzxzzxzzzxxyxzyzzyyzzzyzxxyxxxzxzyxyzyyzyzyyxzzzxxzyzxzxyzyxzxyyyzyyyyyxyzzzxzyxyzyyzzyyyzyxxzxzzxzyzxzxyxzyyxxyxyxxyxyzzxzzxzzxxyxyyzxzyyxyxxxzxzyzxyyxzxyxyyxxzyxxzxyxzyzxyxyzyxxxyyyzxyzyzxzxzyxzyyxzxzxyxyzzyzxyyzxzxyxyzyyzyzyzxzxxxzxyyxzzxzxyxxxyxyyzxzyxxxxzyzyzzzzxzzyzzxyxzxxxyyxyxzzyxxyxxzyzzyzyyzzzyzyyyzyyxyxyzxzzxzyyxzxzzzzyxzxzyzzxxzyxzzxzxzxxzxzzzyyxxzzyyzxzyzyxyxyxxxyyxyxzzxxxyzzzyyzyzxzxyzxxzxyxyxyzyxyzxxyzyxzzyzzzyzzyxxyzzzzzzxxzzzxzyzxyyyyxyxyxzzzyxyyxxyyyyzyzzzzxxxzyzzzzzyxzxzyyzxzyzyxyzxyyyzxxxxxyzyyyyxzzxyyyzxzyxzxzxyzyzxyzyzzyyxyyxxyzzzyzyxzzxzzyxyzxyyxyzyyzzxzxxyxzyxxyzyzxxyzyyxyyyxzyzxxyxyzzzzzzzzyyyxxyyzyxzxyzxzyzzzyyxxzxxxxxxzxyyzzzzzyzzxzxyyxxxxyzxyxyyxxzyyzyxzzzyzzzzxzzyxyxzyyxxzxzzyxzzxzzyyyzzxzyzyyxzyzzxxxzyyxyzxxyxyxxzzzzxzzyxyzxyzyyxyyzzzyyxyzyyzzxyzzzzzyzzxzzyxxxyzzzyxyzxzyxzyxyyyyyzzxzxxyxxyxxxzyyzyyxzzyyzzxyzyzxxyxzxxzzzyyxxxyxyyxyyyyyxxxzyzyyyzzzzyxxxzxxxyxyyxzyzxxxyzyyxyxzyxxzxyyzzxxxxxzxzzzzzzyzzyzyzyyyyzyyxzzzzzxxxxxyyzzzzzxxxxzzxyzxzyzxxxxyxxzyzyzzzxxxzzyzyzzyyzzyzxxxxxzyyzzzyyyzxyzzzzzzyzyyzzxzyxyyyxxyyyyxyxzzxxxzxyzxyyzzyzxxxxxzyzxzzxxxxyzyyzzyxyxxzzxyxyxzyzyyyzzyxxxxxxzyxyxxyyxzxzzyxzyyxxyxzzyzzzyxxzyyyyzyyyxyyxyzxxxxzzxyzxzzxxzxzxxxzyyxyyzyyyyzzxzxyxyzxzzyxyyxxyyxxyxxxxyyyyyzxxyxyxzzxzzyxxzzxzxzxxyxyxyyzzzxxyzzxyxxxzxzyyzxyzyyyyzxyyzyyxzyzyyyxyxzzzyyxxzyzzzzyyxxzzyyzzyyxxxyyzyyyxzzyyyyzxxyyzzyyxxyxyzyxyxxzxxyxxzyyzyzyyyzzzzxzyxxzzyyxzzxzxyyxzyzyxxxyzyxzxzyzzyzxzxzxxzyyxyzyyzzyyxyyxzxzyxyxyxyyyzzzxyyzzzyyxxyzxyzxzxxyxxyzyxxxxzxyzyxyzzzxyxxxyyzzyzzzzxxyzyyxzxzyxxxzzxyxxyzxxyyyxxyzxyyxzyxxzxzxxyzyyzyyyzxzyyxyxyyyyyyyyzzyzzxxyxzzzzzyzzyyyyzxyxyzxxyzyzxyzyyxzxyxyxzzyzzxxyxxzyzzyxyyyzyzzyzyxzxxxzxxyxyxxxxzyxxxxxyyzxzzyzyzyyzzxzzyyxxyyxxzyyzxzzzyyyyxyxyyxzyzxzzzzxyxyxzzzzzyyxzyyxxzxzzzzyyzyzzzxzxxzyxzxxxzxxzxyzxyzzzxxxxxyzzzxxyzxyyxzyyzxzxzzxzzxzyxzzzyzyyxxzzyzyyzzyxzyxyzzzzzzxyxxzzzxzxxzzyzxxxzzyyyzzyyxzyyyzyzxyyzzyzyzxzxzzzzxyxyzyxxzzyxzyzyzxxyyzzzxyyzzyxzzyzxxxzzxyzxxyxxyxzyyzzyxyxzzyxxyzyzyzzyzxyxyxyzyzzxzxyxxyyxyzxxzxyxxzyzzxzxxxyxzyxyzxzyzxxzyzzyxzyzxyzyyyxzxyyzzyyxxxyyzzzzyyxyxxzxyzyxzyyxxyzxyzzxxzzxyyxyyyzyyzyyxzxzzxyyyxzyzxzxyzxxxzzxxyzzxyyxxyxyxyyzzyyxxxzxxzzzxzzzxzyxzxxxzxyzzxxyxzxxxxxzxxxzyxyyyzxxyyzyxyxxxzyyxzzyxzyxyzxzyyyxxxzxzzzzyyyxzxzyxxxxyyyzyxxxyyyyxzzxxxzxyzxyzxzxxzxyyxzzyxyyzyyxyzzzzyxxyyzyxzzxzyxyxzzzyzyxxzyyyxyxzzyxyyzyyyzzyxzxzzyxzzyyzxyzxxxzyzzyyzyzzyyyyzxxzyzzzxxxyxyzyzxxzzzzyxxzzxxzyxxzzzyzzyzxxzyxzyxzxzxzzzxzzyxzzxxxxzyxzzxyxzzxyzxzyzyzxzxzxxzxzzyzzyzxyxyxxzyzyxzyzxxxxzxxyyzyxyyzxxzyzxxyxxyyzzxxzzzxxzyzxyyzyxxxxyxyxyxzxxyzxxxzzyzzxzzyyxzyyyxzzzyxxxzyyzzxxzyxzxzxxxzxzxyyzyxxxxxxzzzzxxxzyyxyyxxyxyyxxzzzxzxyyyzzzyxxzxzyxzyyyzyyxzxxyyzyzxyzyyzzyyzyxyzzxyzxyyyzzyyxxxzzyxzzxzxyyxyyyyzzxxzzxyzxxzyyxyxzzyzyxyyxzzyyzzxyzyzzyzzyyxzyxxyxzzzyzzyyxxyzyyxzyyzzyzyyzxxyxyyyzyzxyyxxzyxxzxzyxyzzzzxxyzxxzzxzyzxzxyxzxzxzxzxzxxxzxxyzyxyyxxxyzyxzzyzyyxyxzyyzyzxxxzyyyxzzzxxzyzyzzyzzzxyzyyzzzzxxzxxyxxyyxyyxyyzyyxyyyxzxzxzyyxyxyyxxxzxxyxyzzxzxyzzzyzyzyzzzyyxxxyxyyzyyzyzxzxzxyxxzxzzxzxxzzxyyxzyxzyxzyzzxyyzxyyyxzyxyzzyzxxzzxxzzxzyxxxyxyxzyxxxzxyyxzxxyzzyyzxyzxyzzxyyzxxxxzyxzzyyxyxzxyxzzxxzyzxxyxxzxzxzzzxxzxxyxxzxzyzyxzyzzxxyyxzzyxzxzzzyxxxyyzxzyxzyxzxzzyxyzyzzzxxyzzyyzzzzyyzxyxxyxxzzyxzyzyzxxxyxzxzxyyxxzzxxzzzxxyyxyxyzzyyzzzyyyxzxxyzxyyyzxxzyzyxyyxzzyyzzyxzyzyzzxyyzyyzxyyzxyyyxyzxyxyxzzzxxyyyxyyzyyyzyyxxzxxzzyxzxzzyxzxxzyzxyyyyxzxxzyzyyzxzzyzxyyxyzzzyxxzxzzzxyzzzxzzyzyxzzyxyxzzyzyzyxzzxyyzxxzyyyzxyxyxzxzzyzxxzyxxzzzzyzzyyxzyxzzxyxzxxzzxyzxzyzzyyyzyyxzxyxyxyzzzyyyxzxzyzzxyzyyzyyzxyyxzxyxxyxzyyzyxyxxyxzxxxxyyzxyzyxzxzyyzzyzyxyxyzxxzzzzyxyxxxxzzyxzzxxxxzxyzyzyxyyyzyyyyxzzzxxyxzxzxzzzyyzxxzyyzyyyyyyxyzzyyyyxyxzzxxyxyxyzxzzzxxyxxxxzxxyxyzyxyzzxxzxzyzzxyyyyzxyzxyyxxzyzzxyyzxyyxyyxxxyxzzzxxyzxzzzyxxzxyzxyxzxzzxzxzxzzyyyyyxxyxyzxzyxyzyzyzzxzyxxxyyyzxyzzyyxxzyxzzzyyyzyyzxzxzyzzzyxzxxzyyyzzzxzxzyyyyyyzyyyzzzzzzyyxyzyyxzzxzyxxzxxzyyzzyyxyxzxxzxyxzxyyxzyyzzzzxxxzzyxzzxxzzyzyzxxzyxxzzxyyzyxyxyxyyzzxzzxyxyzxzxxzzyyzxzzxzzyzyyyxzxxyxzyxzyyzxyyyxzyyxxyyzyzxxyxyzxzzzzxyzzzzyxxzzxxxzyxzzxxyzyyxyyyyzxzyzxxxxyxzzzxxyyxxxyyzxzxxyxxyxyxyyxzzzyyyxyyzxxxxyyyxxyxxxyxzxyyyxyzyyxxzzxyzxzzyyyyzyzyzyzxyzzyyxyzzzyyyxyzxxxzzzxyyzyyzzyzzyzyxxzzyzxxyxyyzxxzyyzzyzzzzxyxyxyxxzzzyyyyyxyyyzyzzxyyzxxzyyxzzzyyzxyxyzzxxzxyxyyxzzzxxzzyxzxzxxzxxxxxyyzxxyzxzyzzxzxxxyzxxzyxzzzzyyzyxxxzyyxzyxxyzxxxxyyzyyyzxyyxxzxyyzxzyxxyyyyzyxxyyxzzzyyyyxxyzyyzxzxzzxxzxxzzyzzzyyzzyyzyzxyyzzzzxxxyxxyyyxyzzyzyzxxxxyyzyzzzyzyxzyxxzzzyyyzzyxzzxzxxzzzzxzxxyzxzzyxxxzyxyyzyxxyzxxzzzxxyyyzxzyzyyzzyxyxzxyxzyyxyzyxyyyzxxzyxyxzxzzxxyyyzzyzzzzyxzxzyyzyxzxyxzxyzyxyyyyyxzyyyyxzxzxxxyyyxyyyyyyzzzxyyxyyzxyxyzzzzyyzzxzxzzzyzzyzxxyxxxyzzzzyzxyyzyzzzyzzyzxzxxyxzyzxzyzzzzxzzzzyxyyyzzyyzyxzxxyzxxzxxzxyyyzzxyxxyyxxyyyxzzxxyzxxyzyzzxyzyxyzyyzxxxyxyyzyzyzyyzzyyzxxyxxzyxxyyyxxyxzyxxxyzyyyzzyyzyxxyxzxyzxyyyyxxxyyxzzzyzyyxyxxyzzyxyzzyzxxzyyxyyzyxxxxxxzxzzzxyxyyxzzzyzyxxxyxyzxyyxzxzyyxxxyyxxxxzxzxzyzzyyyyxxzzxxxyyyyzxyyxzxzyyyxzzyzyxxzyxxzyyyyxxyyxyxyzxzyzyzxyzzyyyyzyzyzyzzzyzxxyzxyxxxyzzzzzyyzzyxyzxxyzzxzzyxzyzzxyzzxxxzxyyxzxxzxzyyzxxxyyxyyxxyxyyyxxzxzxxyxyxzxyxyzzxyxzzxyxxxxyxxzyxxzxyyxxyyxzyxyyzxyxyxzyxzxyzyzxyzyyyyzxzxyxzyxzxyyyyyyyyyyzzxxyxxxxyzxyxzxzyzzyyxxzyxyzyzxzyzzzzxxxzyxzzyzyzyyzyyyxzxxzyyxzzyyyyzxyzyyzyyzyzyzyzzzxzzyxyxzxzxzyxxzxxzzzzyzyxxyzzyzxzxzxxyxyzzxxxxyzxzzzxxyzzxyyyyzxxyzzyyzyyzxyzxyyzyyzzzzxxxxyzyyyxzyyyyyzxxxxzzxxzzyxyxzyxyxzyxyyxyzxxxxyxxzxyxxzyxzxyzxyzyxyyzyzxyyxyyzzxzzxzyyyyyxxyxyxzyxxyyyxyzzyxxxyxzyyzxzzzzxzzyzzyzzzzzxzzxyyyzxzxxyzzxxxxyzzxyyxxzyxyxyzzxxxxzyxxxxyzxyzyzyxyzyxzxyyxxyxzyxzyzyzxxzyzzyxxyyxzyyzyzyyyyzyzyxzxzzxzzyxxyyzxzzxzzyyyyxzzyyzxyzzzxzyyzzyzzyzyxzxzzzxzyzxxyyxzyyxxxzyyyzyzyyxxzxyzyxxyzyyyyzzxyyxxxzyyyzzxxyxxyxyzzzyyxxxxzxxyyxyyyzxyyyxzyzxxyyyxyyxyyyyxxyzzyyxxzyxzxzzzxxxzzzyxxyzzzxzzyzxxxyxyxxxyxyyyzyyzyyzxxzzzyxxxzzzxxxyyxzyxxyzyyxyyyzxyxyzzyzxyyyyyzxyxxzzzzzxyzyyzzxzzzyxyxyxzyxxyxzzzzyxzxzzzxzyyxxxxzzxxzzxxzxxxzzyxyzxxxzzyzxyxxyzxyzxxzyxxzyyyxxzyxyyyyzxyyzyzzyzzyzzyxxxyyyzzyxzxzxxyzyzzyyxyzxzyzyzzxzzxyzyxzxzzyyyyzyyzyxzyxyyyxxzyxyxxyxxyxyzyzzzzyxyzzxyxxyxyxzzyyyzxzzzxzxxxyxxzyzxzxyzyyyzxyyxzzyxzyyxxzxxyxxzyzzzxzzzzzyzxxzzzxyxxxyxyzzzzxxzyyzyzzyyyyzyxyzzxyxzxyxzxxyyxxyyxyyzyyzyxzxzxzyzzzyyyyzxzxyxzxxzxxyzyyzyyyxzzzzyxzyzxxxxyxyzzyzzzzxyzzxyzyyyxyzyzyyxzyxyyxyxzxzzyzzzyxxzxyzyxxyzyxxxyxxzxzyxxyzzxyyxzzzzzzyzzyyzyxxyzxxxxzyzzyzyzxzxxyxxyzxxzzxzxyzzxxyyzxyzyxzzyyxzzzzxzyyzxxzxzyxxxyyzyxyzxzzyyxxzzxxzzzxzxyzyxyzyzyzxzxxyzyzzxzyyzxyzzzzzxzyyyyxzxzxyzxzxyxyxxzzyyxyxyzyxzxyyzxyxzzzxzxxxzyyxyxyzzzzxyzyyzxzzyxzzxxyyzzzzyxzyyyzyyxyzyxyxyzzzzyzzyyzxxxyxzxxzxxxxzxxxxzxxzxzxzzzyzxxzxxyyyxzyzyxzyxxxyzzyzxzyzxxyxyyxxyyyyzyzzzzyzyxyxyyyxxxyyzzyxxyyzzxzzzxzyxyzzxzzyyxyyyzyzzyzxxzxzxxxxxyyxxyxyxyyzzyxzzxxyxyyzxxxzyxyzxxyzxyxxyyxxyxxxxzxxzxxzxzzyyzzxzyxyzzyzyzyxzzzxzzzyzxyxxzyzxyxxzxzzxyyzyzyyzyzxzxxzyzzyxxzyyyyyxyyyxyyxzzzyyxyxzzyxxyyyxyyzyxyyyxyzyyzxyyxzyzzxxzzyyzyyxyxzxyxzxzzxxzxyyxyzzxxyzyxxxxyyxzzxzzxyyxxyyzzxzyzxxyzzyzxzzyyxyzyzzxxxyyyxzxyxxzyyyzyzyyxxzzzxzxxxxzxyxyzyyzxyyxzxxyyyxzxyzxzzyxyxxzzzzxxyxzzzxyyxzxxzyyxxxxzzxzyzzyyyxxxzxzxzxyzzyzyxzyzxyyzzzyzzyzxzyxxxxxyxyxyzxyyyzyzyyxxyzzyyxyzxyxyzxxyzxxzzzxyzzzyzxyyxxxzzyzyyyyzyxzxzxyzxyzxzzzxzxzyzxxxzxyzyxzxzyyzxxzyyxxzxxzzyxyzyzyzzzxxyxzzxyxyzxxxxyxzxxzzzxyzxzzyxzxxyxxyxzzyzyzzxxyzzzzyzzyyzyyxxzzyxxxzzyzyyyzyzyyxyzyxyxxyzzxxxxxzzyzyyxyzyxyxyzxxzzyyxyzxzxyyxzzxxxyxzxzzyxyxyyxxzzzzyzyyxyzzyxxxzxxyyxzzzyxxyzxzyyxyzyyzyyxyyyzyyzyyxzzxzzzzxzxyyxxxyxxxzyzzxyxyzzxxzyyzzyzxzxxxzxyyyzxyzxzxyxxxyyxyyzzyzzzxxyxzzzxyzxyzzxzzxyxzzzzzyzxyyzyyzzzyyyyzyxyzzyyxxzzxxzzyxzxzzyyzyzxxyzzxxxzxzyzxyxzxxyxzzyzyyyzxzxzzyyxxxxzyxzzzxxyzyxyyzxxyyzzxxzyzzzxxxyxzxyyzyxzxxzzxxyxxxxyxyxyxyxyxxzxyzxxyzyyxyyyxzyzxzxyyxyyyzxxyzzzyxzyzzzzzyzyzyzzzzzyyxzyzzzzyzyxyyxzyxyyxxzzxzyyyzxzyyzzyyxzzyzyxyxzxxxxzxyxyxyzxzyxzxzxzzzzyzxzxxzxxzyyxyzyyyxyzxyzyyyzyzxyyzzyxxyxzxyzzzzxzyxyyyyyzzxzyxyxzzzyzyyxzxyyyxzzxxzzxxyxyyxzzyyyyzzzyzyzxxzyxzxzxxyxxzxxzxzzxxxyyyzxzxyyzyxzxzyyyzyyyzxyxzxxyxyxyxzxzyzxxyyzxzxxyzyyyyzyzyxxxzzzzyxxzzxzzxxyyyxzxxzyyyxyyxyyyxxyyxyxzxzzxxyyyyyzzyyzyxyxyzyzyxzxyzyzyyyxzyyxyyyyyxzyyyzzxxyzzzzzzzzyzxyxxzzyxzzzxxzxzxyzxzyyxzyyzxyzxzyxyzyzyxxzyyxyzyyxxzzyyyxxyxyzxxxyxyzyzzxyzyzyyzzyxzzzxzzyzxzyyzyyxyyyzxyyyyyxzzxyyzxyzyzzyyxzyxxxzzxxzxyxxzzzxzyzyyyxzxyzyyxzzxyzyxzxzyzzxxyxxzxzxyxzxxyxxyxzyxxyzxxxzyzyxxyxyxzxxyxxyxzxyzyxyyzxyxyyyzzyxzyxxxzzzyxzzzzyyzxzyyzzzzyxxzyyzxxyxxyxyxzxxyxzzzzyyxzyyyyyxzxxyyyyxzzyyzyyzyxzxyxyyxyyzyxyyzzzyzxzxzyzzxxyyzxzyxzzxzyzyyxxxyxyyxxzzyzxxzyyzyxyzzxzxzzyxzxxxyyxyzxzxzzyyzxyyxzzzzxyxzxxzzzzyzyzyyzyzxzxxzyxxxzxxxyzzzyyxxzxyxyxzzxzyyxxyxyzzzzxzyyxxyzxyzxzzyzyxzzxyxzzxzxxzxxxxxxxzyzyyzzzyzxzyxzzxyxyzzyyxzzxxyxyyxxyyyyxzxyxzyxxyyyyyyyzxxyzxzxxyzyxyxzyxzxxxxyxyyxzzxyzzzxyyyzzyxxxyxyxxxxzzyxzyzyyxxzzyzzyyxzzzzyxyyyyzyxxxxxyxzzxzyxxxzyxyyzzyxzyxxxxxzyyxzxyxxzyyyxyxxyxxxzyxzzxyxzzxzyxzyzzxzyzxxzzzxzzxzyzxzxxzxzxzzzzxyxxyzxxyyzyzxxxyzyxzxzyzyyzzzyyxyzzzzzyxxxxyzyzyyxzzzzzxxxxxyyzzxxyyxxxyxzzyzzzxxzyxxyyxyzyyyxzzxxyyyzyzxzyxyyyzyxxyyyxyyyxyyzxzzzxxyxzxzxzxzxyxzyxxzzyyyyyzzyxxyyyxyyyyxxyxyxxyxzzxxxyyyyxyxzxzyzxyzxyxxxxyyyyxzzyxxxyzzxzxxzzxxxzxzyzxzyxzzxyxxzyyyxxzyzzxxxxxzxzyzyyyxxyyzxzzzzyxzyxzxxzzyxzzyzzyxyyyyyxxxyzzxyzyxyyyyxxzzzzyxxxyyyzyzyyzzxxxxyzzzxyzyzxxzxyxyxxyzzyyzyxyyzyzyxzyzzzzzzyxyzyyzyxyyyxzxxyzxyzzzzzyxzzyzxxyzzzyxxzzzxyzyyzxxxxyyxxyyyyyxyxxxyyxzxzxyxxzzzyzxyyzyyyyzzxzzxxyzxzzxyzzzzxxxxxxxxyxzxxxyxxzxxxyxzyzyyzxxzzxzxxzxyxxyzzyzyxxzyzyyxxxzzyyyxzyyyxxxzyzzzzxxzyxzzzxyyxzyyxyyxxyzyxzyyzyyyyzyyyyxzyxzyxyxxzxzxzxzxzyxyzzyxxyyxzxzzxyzzzzxzzzxyyxyxyxxxyyyzxzyxyzzyzzxyxyzzzyxyxxxyxyxxzxzyzyyzxzyyzyxxxxxyzyyyzzyzzxzxyxyzyzxyzyzxyyzxzyzzzyzxzyzzzxxzzxzyxyzyzyxxxyxyyxxyzxxxzyyxxzyxyxzyzzxzyxxzxzxzzyyyxxxzyyxzyyxyzzzyyzzzzyzxzyxyyzxzyyxzyyxzyxzxxyyyzzzxyyzyzzxxxyzyyxxyxzzzyyyyxyyxyxyzzxyxyzxyzzyzxxxxxyzxxyyxzzxxyzyzxxyxyzxyyyzyzxzyzyxxxyxxxxxyzyxxyxzxxyyzyzzxzyyxyzxyyxyyxyxxxxxzxzxzzyzzxyxxyzyzzzyzxyxzzyyzzzzxyyyzxxzxxxzzxxyzxyxzyzxzzxxzzxyzzzxyxzzzzzxyzxyzyzxzzxzyzyzzzyyxzzzzxzzyyzzzzyyzyyzxyxyyyyyxzxyxyzzyyyyzzxxxzyzyxzyxxyxxzzxyxxyzxzxyxxyzxxzxxyxyyxzzxyzyzyyyzxyyzxyzyzyxzyxxzyxxyxxzyzyyzxxxxyxyxzzzxzxzyxzzzzyyxxxyyyzyyxzyzzyxyxxyyzyyyzzzyzzxzxyxzyyxzxyyxxxxyxxzzyxyyyzxzyyxyxxzyzyyyzyzyxyyzzxzxzyxyxxzzzyzyxyzxyxxxxzyxxzxyzxyzzyzxzxxzyzyzzyzyyyyzzzzyxyyxxzzyyxzzzzzzzyxxyxzzyzxxzzxzxyxyzyyxyxyyxxzxzxzxzyyxyyyzyyxyzxyyxyzzyyyzzxzyyyyyyxxzxxzxyxzzzzzzyyzzzxyyzzzxzyxzyxyyxzzyzyyxxxyyzyzzxxzzyyxxyyyyxzxzzyxyzyzyzyyyzzxyzzxyxyxxyzxzzzzxyzxyyyzzyzxzyzxzxyxzzzzxxxzyyxyyzyzxyyyyyxzyyyzzxyyyzyxzxyzzxyyzzyxxzzyyyxxxxxxxzzyyzzyxyxxzxxxxxxxzzxyzyyxzxzyyzyyxyyxxxxzxxyzxyxxzzzzyxzxyyxxxxzzyxyxzxyyxyzzxxzzxxzzzyxyxyzxyzzyzzzyyxyzzyyzyxyyyxzxxzyyxzzxyxxxzyzyyzxxzzxzzyzzyyzyyxxyyyxyxxxxxyxzyyyyzyyyzyxxzzzxxyzxzzzzyyyxzyyxzzyzxxzzzxyyzxzxzxxyxxyxxxyzxxyxyxzyyzxzyyzzxzxzzyzyzxzxyyxxyzzzyzzyxyzxzxxzxyyyyzzzzxxxzzzzyzzzzyyyxxyyyzxzzxxyyzxzyxyzzzxyyzzxyxxyyzyzxzxxxyzxxzzyxyzzzxxyxyzxxzzzxzxzxzzzxxzxxyzzxxzzzyyxxzxzxzyyxxzyyxyxzzxxzxxzzzxxyyyxzyzxyyyyzyyxxxzyyzzyzxzzxxxyxyzzxzxyxzxxzzzyxxxyzzzzzxxxzxyyxxxyzxzyzyxxyyxzyyxxyxxxyzzzxzzyzzxyzyxyxzyzzxzxzzzzyyxyzxyyyzxyzzyzzyzyyxxxxzyzyxyyyxzzyzzyzyxyyxyxyxzyxxyxyyxxxxzxxxzzxyxxxyyyxxyyxzzzyyzxyyzzyxxzyzzzzxxyzzzzxxzzzxzxxxxzxxyzyyxxxzyxyyzyxxzxzyyzyyxyxyyzzzxzxyzyzyzxxxyxyyyxxxxyxyyzyyzxzzxxxyzxzxxzyxzxxxyzzxyzxxzxyyzzxyyyxzyzzzyzyzyyzyzzyyyyzzyzzyzzzzxyyzyzzyxyzzyzzyzxzzxxxzxzyyzzzyzyxxxxyyxzyzyxyzzxxyzyxzxxzyyxyyzzyzzzxzzyyxyzyyzyyxxyzyyyxzzyzzzxzyyxzxzzxxyxxzzyyzxxxzyzyyxxxyyxxyyyyyzyzzyxzxyxzyxxxxyxxxyzzxxyzyyxzzyxyzyyzzzyxxzxxzzyxzxxzzxyxxxyyzzyzxzzxxzzxxxzzyxxyzxxyxyzxyzzzxyxyxzzzxxzzyyxyxyxzyzzyzzyzyzyzzyyyxyzxxyzyxzxxzyzxyzxzzyzyxxyyzxxyyyzxyxxyyyxyxzzyxxzzyzxxyxzzxxzyzyzyzzyyzxzxzxyxyyyzxxxzzzxyxxxxzxyzxxyxzxyxxxyyyzzxyyzxzyzxzzzyxxyzzyxxzyyyyxyzzxyzzzxyzyzzxyxyxxyzzxxzyyzzzzyzxyyyyyyzyyxyxyyzzxxyzxxyxyxyyxxxyyxxzyxyzxyzxxyxyxyzyzzxzyzyxyxzxxxxzyzyyzyzzyzzxzzyzxyyyyxyxzxzyzzxxyyzzzxyzyzxyyxyzxzyxyzzxzyyyzzzyxxzyyyzxxxyzxxyzxzzxxyxxzzzyzyzxzzxzxxxzzxzyxxxyzxxxzzzxxyxyzxzzyzxyxxzxyyyyxzxxzyzxzxxzzyzyyzxxyzyyyxyzzzyyxxyyxxzyyxxyzzyxzxyxxyyzxxyyyzzxxzxyyyzyzxxxyxxzxzxyzyyxxxxyyxxyxxyzxyzyzyyyxxyzzyxyzxxxyzxyyyxyxzyyzyyxxxyyyxzxyyxxxzxxzyyyxxxyxxzxzxxxzyzyxxzyzyxzzzxzxxyxyzxyzxxyxzzxzzyzyyxxyxzzyzzyzzzzxxxyzzyzxxzzzxzxxzzyyzxyzxxyzxzyyzyxxxxzyxzxyzyyzzxyxyxyyyzyyyyxyyxyyzzzyyzyyzzxzyyyyzxxyzxxxxzzzzxzxxyzzzyxyzyxyxxxyyzzxzxyxxzxzyxyxzyxyyyyxyzzxzzzyzzzzzxyxyxzxxxyxxyyxyyyzzzyxyyyyzxxzzxxzzxyzxyzzxxxyzyxxzzxzyzzzyzyxyzzxxyzzxzyzxzxxzyyxyzyxzzzzxyxyxyxxxzyyyxxxzyyxxzzyyxzzxyzyyyxxxyzzxyxxzxyyyzyzxxzxyyyxyyzxzzyyyzyyxxxyyzxxzzxyyyyyzxyyxzzyxxyyyyzzxyxzzyxzyyxxzxyyyzxxxxxzxzzzyyzzzzxzxxxzxyxyxxzzxxzxxyxyxxxzxzzyxxyzzyxxzzzxxxxzxyxzyzxzyzxzxxzxxxyyzzzxxxxzyxxxzyyyxzxzzzyyxxzxzyxyzxyxzyzxxzyxzxzxxyxxyxxyyxyyyyyyyxyzxxyzxxyyxxyzxxzzxyzzxyxzyxyyxyyxyyyyyzzzyzxzzxzzyxyzyzzzxyzzxzzyzyzxxyyyyzxyyxxzxyxyyyzxxzxzxzxyyyxxzxxyxyzxyyxxyzyzyxxzzxxxzxxzxxzxxxxzxzxzyxxyzzzyzyzxxxyyxzzzxzzxyxyyyxxxyyxzzyzyyxxxyxzzxxyyxyxyyxzxxyzxxyyxxyxyzyzzyyzzxzyzxzzzxyxxyyxzyxyxxxyxzzxxzxyzyxxxzxzxyyyzxxyyxxxxyxzyyzxxzyxyzxxzyzxxxyzzzyxyyxxxxzxxyyzyxzzxxzxyzxxzxzyxxzzzzyzxxxzyzyzzxyxxyyyxzyzyzxyyzxxzyxyzzzxzzyxyxyxxxyxzxzyxyyxxxyyxxxzyxzyxzxxxxxxxzxyyzxyxyyyxxyyzxyxzzyzxxzzxyxyyzxxzzyzyxyzzzyzxyyxyyxxzxxzzyyzyxzxxxxzxxyyzzxxxyxyxyzzxyzyxyyxyxzxxyzxxzzzxyxxxzxxyyyyzxxyzxzzyzxyzyxzxyyxzzxzyzxyyzzxxyzxyxyzxxzxzxzyxxzyzxzyxyxzzyzyxzyyyyyyxzyyxzxxzyzxxyxzxyzxxxxxxxyxxyyxxyxyyyyzxyxyyxxxyyzxyyxyzyzzzyzyyyxyzzzzyzzxzyzzxzzyyzyzxzyxzzyzzxxzyyyyxyxxxyyxyyzxyzzxyyzzyxzyyxzzxyyxzyyxyzxyyzzxzxzzzxzxzyyxxyzyzyzzxxzxzyzzzyxxxyyzxzzyyyzzyzzyyxyyzyzyxzzyyzyxyzyzxxxyzxxxyzxxzzyxzyzyzyxyyxzxxyyxyzyzyyxzxxzzzyyxzxyzyxxxyzyyxxxzzxxzzyyyzxyyxyzyzyzyxyyzxxzzxzyzzyzxxzxzxyxxxyzyzyzxzyzxzzxxzzyyyzxzxyzyxyzzxyyyzyyxyxzzzzyxxxxxzxxzxzzyyxxxzzzzzzyxzxzxxxxxzyzyyzzxzxxxyxzzxzyyyxxxxyyyxzyyzyyzzxyyyyyzxxyxyyxyxyyyzxzzzxyyzyzxzzyyxzyzxzzyzyxyxyyxxyxyzzyyxzxzxxyxyzxzyyyzyzxzxyxxyyzxzxxxxzyxxyzyyxxyxzzyxyxxxyzxyxyyyxzyxzxyzzzzxzzyxyyyzxzzzyyzxxyxyyxyyxzyzzyzxyyzzzzzyyzxzzzzzyzyxyzxzxxzyxxxyzzyxzzyxzzyyyxxzyyyyxyzyzyzzxzxyzyyxzyzxyxzzyxxzxxxxyzyxzyzyxyxxzyyyyyxyzyyyzyxxyyzzzyyyzzxxxxzzxxyyzxxxyzxxzxyxzxzzyzyzzxyzzyzxxyzxzzxxxyyyzyxzxzyzzxzyzzzzxxyyyxyzzxyxyyxyxyxxyyyzzzzzxyyyxzxyyyxzzyxxzyyyyyyxyxzzxzzyyyxyxzzyyzxzxxyzxxyyyxyyyyzxxyyzxzxxzyyyyyzxxzyxxzzzyyyyxzxyyxzyxzyxyxzyyzzyxxxzyyzyzxyzzyzyxyxxzyzzyyzyzxzyyxyxyzxxzyzyzzyyyzyyxzxzzzzzzzzyyxzyzyxzyzxzxzzzzyxxzzzzzyxyxxzxzzzyzxzzzxyzzxzxyxzxyxzyxzyzyyzzxzxyzxzyzxzyxzzyzxzzyzzyxyzyxxyyxyzzzxxzxyxxzxzzyyzzzyxzzxzyzxzxyzxxxyxzzyzzyxxxzzzxzyxyxzyyzxyzxyxzzzxyyxxyxyxxyyxzxzzyyzyxyyyyxzyzzyyzzyxzxyxzxyyzzxxxzyyyzzyzyzzzyxyxzyyyzxyzxzyyzyzzyxyyzxyxyyxxyyxxzzyxxzxyyzzzzxxzxyyzxyxyzxyzzxxxyyzxxzyzxxyzxzxyyzyyzzyzyzyzzzxzyxzxzzyxzyzxyyxyxzxzyzyyyzzxzzyzyyzyzxyyzxzyyyzzyzxzzxyyzxxzzyzyxzxxyzzyzxzzxxxyzyyxyyxyxyxzxxzxyyxyzyyzzyzzxyyzyzyxxzyxyyzxxxyyxxyxzzxyxzyzyyxzyyyzyzyyxxxzyzyzyxzyyxxyyzxxxzzxxxxxxyyxzzyxyzxzxxzyyyzxxzyxzxzyxzxyyzzxyzyxzxzzxyzyzyyzxxxyzxzxyyxyxzxxyxzxxxxxzyzyzyyyxyyyyxzzyyxyzyyxyxzzyzxxxxzyxzyzyyxyyzzzxzxzyyzzyyyxyxzyzxzxzxxzyyyxxyzxzxxzxyyxxyxzyxzxyyyyxzyyzzyzxyzzzyxxxxyxyyyyyxxxyyxxyzzyxyzxzyxxzxzxyzzyzxxyxxyyyxzyzxzzyxyzxyyxxzyyzzyzyxyzxyzyyzxxxzzyyyzzxxzyzxyzxyyzyxyzzyxyxyyzzxyxxxyyyzzyyzzzzxyxyyyxzzxxyzzyxxxyyxxzyxzyyzzzzyyxyzzzxxzyxxxxyzyzzyyyxyxxzyyyxyxyzzxzzzzxyxzzyyzzxxyzzzxxyzxyzxxyxzyyyzxxxxxzzyyxzyxzyxzzyxxzxyyyzyxzzzzxyzzxzyzxxyyzxyzyyxzxzyzzxzyyxxyzxyyyxzxxyyzzzzyzyzyxzxzzxzyyxxxxzxzzyxxxxyzxxyxzyyyyyxzxzzxxzyxzzyyzzyxyxxxyzxyxyxyxyzzyyyzzxxyyxzzxxxzzzyzxzxxyzzxxxzzzzzzzzzxzyxyzyxyyzyzxxxxyzxyxxyyyzzxzyzxyzzxzyxzxzyzxxyxxyyxyyxzyzzyxxzxyyyxxzxxxzzzyxxxyxxyzxyzyzxyyzxzzyyyzyyxxzxyzzxxxzzzxyyzzxzzyyyyxzyyzxxxyxxxzxxzyyxzzzxxyxyyyzxzyzzyyyxzyyzzxzyzxxyyzyyxxxxzxxzzxxxxxxzzzxzxxyxyzyxxxyyyxyyzxxzyyxyzzxyzxyzzzyyzyxyyyzxxzyyzyxyzxyxxyyzzyxyyzyxxxxzyyzzzzzyxzzzxyzxxxxyzyxxyyxzxzyzzzyzxyyxzyxyyyzyyxyzxzyyxyzyyyyzxzzzyxzzxyxxzyyyxyzzxyzxzzzxzxzxxyyyzyzzyxyzxxxxzxzyzzyyxzzzzzyzxyzxyzxzzxzyxzyxyyyzyzyzxzxzyyxzyzyzyyxyzyyxxxyxyyzxzyzxzyxyzzyyxyxzzxyxxyyzxzzyxzyyzyxyxzyyxyyyyzzzxyyxxyzxzyzzzyyzxzzzyzxxzxxyzzyyyzyzzzyzzzzxyyxzyyzzyzzxzxyyzyyxxyxzyzxyxxxxzzzxyzzyyyzzyxyzyxzzzxzxyxxyzyyzxzyzzzxzzyzyyyyyzzzxzxyxyxzzzxxyzxxxxxzzxxzxzzyyyzyyyzxxyxzxzyyzyxyzxzyzzyzzxxzzxyzyyxzyxxxxyxzxzyzyyyxzxzyzxyzxzxzyxxyxxyxxxzyzyzxyyxyzxyzyzyyxxxyyyyyyyxxzxzxyyxxzzzxxzyzxxzxzzyzxxxzzxyzxyxxyxyzxyxxyyzzyxzzxzxyyyzyxyyxxxzzxyzzyxyxxyzyxzyzyyyxyzxyzxzzyxyyxzzxyxxzxyzzyzxxxzzzzxyzxyzyyyyzyxxxyxxxxyxyyzyxyzzzzyzyzyxyzxxyxzxzyxyzxxxyzyzyyxyzyzzzzxzyyyxxxzyxxxyyxzyzzxyxzzyxzxyyxxyyzyyxzzyzzyxxxyyzzxxxyzyxzxzzyxxxxzyzyzzzzxyzzzyxyyyxzxzxyzxyyyzzxzzxyxxxzyyyyxyyzyzxyyxzxzzzyxxyyzyzyxxzxxzzyxxzzxzzzyxxzxyxxyyyzxyyxzyxyyyxzxzxyxyzyxyyyxxyxyyzxyxxyzyxzxxyyxzxzyxyyyzzxzxyxzxxxxzzzyxzzyxyxxyxyxzxyyzzzxzzxzxzxxyzxxyzxzyyzxxxyyyxyyxxzyzxyxyyxyyzxyzyxyxyzxxyyyxzxxyxzyyzxxyzzyyzzxzyyyxzyyyyzyxyzyzxxyyyzyxxyxxzxyyzyxxzxyzyxyzzxyyzzxxzxzzxxyzzzxzyzxxxyyxxyzzxxxyzyzyzxzyzzxyzzyyyyxzyxzxxxxyxyzxyzxzyzzyyzxxzzxzyzzyzzzzyyxyxxxyyxyxxzxzxzyxxxxyzyyxzxzxxzyxyzyzxzyyzyyxzyyxzyzxzzyyxzxyxzxxyxzzzyzxyxxyyzzxyzxyxyyyzyxzxyyyyxzzxxxyzxyyyyzxyzxxyyxxyyxxyxyyxyyzyzzxxyxzxxyyzyzzxyzzxyzzyxxyxyyzxzyyzyzyxzzyyyxyzxyzyyyzyxyyyxzzzyzyxzxxzyyxyzzxxzzzxyzzyzyxzyyxxxxxxzxzzzyzzyzyyxxzxyzzxzyzyzyzxzzxxzxxyxzzyzyxzzyyxxzyyyzyxzzyyzyxzzzzyyxyyzyyxyyxxxzxzxxyyxyyxyyzxyyyyyzxyxzxxxxzxyyyxyxzyxyxyyzxxzxyxyxxzyyxyxyxyxzxzyyzyzyxzyzzxxyxyzxyzyzzzxyyzxzyzzxzyzyxyzzxyzzzxxxzzzzyxyzyyzzyzxxxzzzxzxyxzxzxxzyzzxxxxzzxzxyxyyxxyxxzyzyyyzxyxzyzyzyyxzyzxzyyxxyzyzyxyyyxxzyyyyyxzxzxzyzyxxzyyzxzyzxzxzxyxyxzyyxzxyxyxyxyyxyzxxzzyyzyzxyyxyxyxyzzxxyzzyxzxzyyzyyxxxyyyyzxyxxzzzzxzyzyzxyxzxzzyzyzyxyzyzyzyyxxzzzyxzzzxzyzzzyzyzxzzzyxxxzyxxyyyzxyxyzzxzzzxyzxxxxyzxzzzzzxyxxyzzzzxxyyzxyzzxyyxzyxzxzxxzzyxxzyyzxzxzyxxxzyyzzzzxyxxxyxyzyzxxxxzzzxxxxyxxzxxzzyzxzzyzxzyzzyzxzyxxzzyxyyzxxyyzyyyzxzxxyxzxyxyxyxzzyyxyxyxyzyyzzyzxyzxxzzxyxzyyzyyyyyyxxyxyzxyzyxzxxyxyyzzzzyyyxyxzyyxzzxzzzxxxxzzyxzxxyzxzzzyzzxzyzxzyyxyxxyyzzzyzxxzyxxyzyyzxzzzyyzzxxxyyzzxyxxxxzzzxzzxzyxzzzzxxxzyyzyzxyxzzxyyyyxzxyxzyxyzxzyyzzzzxyyyzxzxzzyzyzzyzzyzyxxyyzxxxzyxyxyxxxyyxzzzxyzzxxxxyzyyyxxxxyzxxzzxzxyzzxyyzyxyzxyxzxxxxxzyyzzzyxyxxyxxzyzxyyzzyxyxxzxyzyyzxzyxyyzyzzxxxzyzyxzzxzyxxzxxzyyzyxxxyxzxzzxyxxyzyxxxzzzxzzyyyyyyzyxyyyzyyzyyyzzxyzzzyyzyxzyyzzyxzxyzyzxzxzyyyzzxxxzyyyyzxzzyxxyyzxxyzxyzyzxzyzyzyzxzyzxxzyzyxxzxzyxyyyzyzyzzxyxxxxzzyzyxzyyxzyxzxzzzyyzxyyzyyxxyxyxyzzyzyyxxxzzxyzxzyzyyxzyzxyxyxyzxzyxxyzxxzyxxyyzyxyzzzxyzyyxyxzzxzzyzxzyzyxyzxyxzzxxyyyyxxxxyzzzzzzzzxyxzxzzzyxxxyyzxzyzxyzyyzxxxyzzxxyxyyxxyyyxxyzzzzxzyzyyzyzzyzyxyyyxxyyzzyzzyxxzzxzzzyzxxzxzxyxyyxzyxxxyxxzyzxyxyyyyxzxxzyxxzyzxyyyzzxzxyyxyzyzyzyxxzzyyyzxzxyyxxyxyyzyyzzyyyxyyyxzyyxzzxzyyyxzxzyzxzzxyzxzxyyxzxyzzzyzyxxyxxxzxzzzzyyzzyzyyxzxyzzxyyzzzzzzyyyzyxyyxxxzxxzxzzyxyzxxzxxzxyzxxxxyyzxzxxzzzxyyxyyyxyyzyzyzzzzyxyyxyxyyyxyzzyzyxxzzyzzzzzyxxzxzxyxzxxyxxyyzzyxyzyzxzxxxxxyzyxyxyxxzxxyyzxzzxzxyzxxxzyyxzxzxzyzxzxyxxxyzyxxzyxxxxzzyxzyzzzzxzxxyxxxxzzyxxxzxyzzyxzzzyxzyxyxyzxzzxxyyxxxzyyyyyzyxyyyyyzzxzyxyzxzxyyyxxzyxzzzxyyyzzyyzyzxyyzzxxyxyyxyzzxzzxzxzzyzyyyyyxxzyxyyyxyyxyxyxzyzyyzzyzzyxyyzyzyyxyyyzzzyxyzxzyxxxyyzxxzxyzyzxyyxyzzyzzyyxyxyxyxzyyzxzzyxxxyxxxyyyzyxyyyyxzzxxzzyzzxxzzxzzyxxyzzxzyzzzxzxxzyzzzxxxzzyxzyyzzzyzzyyyzxzyyxxzzzxxzyyxzxxzxyyxzyxyzzxyxzzyxzzxxzzxxzxxzyzxzxxxyyzyxyzzxxxyxxyxzxxxyyzyyxxxyzzxyyxyzzzzzyzyxzzyxzzxyzzyxzxxzxxxzyxzzxyxxzxzyyzzzzzyzxzyzzxyzzyzyyyzzyxyyyzzyyzzyxxyzzyxzxyyxzxzyyyxzyxxxyyzzzzxyxyxxxzyzyyyzyxyyyxyxxzxxzxzzxyzzzxxzxyxzzyzzzzxzzyxxxyyxzzyzzxyzzzzyyxxyyyyzyxxyyxzxzyxyxzyyxzyyxzyxxxyxzxxxzxxyxxzzyyzyyzyzzzyzxzyxxyyxyzyxzzyzzyxxzyxzxyxzyxyyxxyxzzyyxxzzxyyyzzyyxyxxzyxzzxyxyzzzyxxyxzzyzyxzyzxyyzzyyzzyyxyyxzyyxzyzzxyyxyxxyzxxzxyzxxxyxzzyzyxxzxzzyxzxyzxxzyyxzxzxyxxzyzyxzyxzyxzxyxyyyzyyyzyzyxyxzyyxyyzzzxxyyzyzxzxxxxxzxzyxzzzyxzxyxzzxxxxyyyzxyzxzxzxxzzyxzxzzxxzyyxxxzyyzxyxyxyzyzxyyxxxxzyxxyxzzxxyyyzxyzzzzxyzzyxyzyxxxxyxyyyzxzyzyzxzxxyxyxyzzyyzxyzxyzzyyyyxxzxyyyzxyyxyxxzxxyyzyxzyzzzzyzyxyzzzyzxxxxxyyxyyyzyxyxxxyzyzyyzzyxxzzyzxyzzyxxyyyyzzzzxxzxxzzzzzzzxzyyyxzxyxzyyxyzyxxyyxxxxyxxyyzzyzyxxyxxyxyyyyzzzxzyyxzzzyyyyyzxyxxyyzxxyzyxyyxyyzzzyxxxyxzxxxzxyxzxyyxxzyxzyyxzzyzzyxzxzyxxyzxzyyxzxxxxzxyzzxxxyyxzzxxxyyyyxyxyxyyzzxxxzyyyxzyyyzyyyyxzyyzxyzzyyyzzzyxxyxzyzzzxxzzyzzyyyzxzxyxxyzxzyyyzxzzxxyzxyxyzxzxyxxyyxzxzxxxxxxxzxxyyzzyyyyzyyxyxyxyyzzzyyxxzyyzzzzxxxzzyyyzzyyyyyzyxyzxzzyyyyyxzyzyxxxxxzyxxxyyzzyzxzxyyyzyzyyyyxxxxzxyxxzxxxyyxzzyxzxzzyyyxyyxxyxyzxzxyyyxxzyyxxzzzyxxxyyzzyxxzxzzxxxxxxyyxyxzzzzxzxxzzyxzzxzzzyxzyyzxyyyzzxyyyzzzxyyzzyxzzyxzyxyxzyxyyxyzyzzyyxzxzyxxyxxyxzyzyyzyzxxxxxzyyzyxyyyyzzyzzxzxzyzyxyxzxxyyzzyxyzyyxzzzzyzzyxxzyzzyxzxzxyzzzzxyxxzzxxxyzzyyzyyzzyyzxxyyzxzxyxyyxzyzxxyxxxxxxxyzxyzxyxxxyzxzxyxyzxxxxxzxxyzxxxxzxzxzyzzxyyzzzxzxzxxyzyzxyxzyxyxzzxzzyyxyxxxxzxxyxzzzyxyzyyyxxxyzyxxyyyzxxzyzyxzzyzyzxyzxyyyyyxxyxyzzyxzyzyzxyyyyzyxzzzzzxyyyxzxxxzxzzyyxzzzyzyzxyyyxxxyyxxzyxxyxyxxzzyzxzyyxxyyyzzzxyzxyxyzzzxzzxyyzxxzxxzyzzyxzyzzxzxzxxyyzyxxzxyzxzxxzyzxxxyyxyzyzzyxxxyxzxzxxyzyyzxzzzxzzyyxzxzxxyzzyyyzxxyyxzzyxyyzyzyxyyxxzyxxxzzyzxxyyzyxzyyyxyyxyxxzxyzyxzyyyxzxxyxyzzyzxxxyxxyyyyzxyzyzyxxyyxxzyzyxzzzzxxxyzzzyxzxzxxzxxzyxxyzzxyyzzyyzyxxyxzyyzxzzyzyxxyyzzyzzxyyyxzyyzxxyzzxzyyxzzyzyyzzxxxyzzyxyzyzyxzxzzzyzzzxzzxxxxxyzyzxyxyxzzyyzzzxzzxzzyxyyzyzyxxyxxzxyzzxzzyxxzyxyxzxzyzxzzyxxxxxyxyyxyyyxxxxxzxxxzzzyyxyyxzyzxyxzzxzxzxxyxyxzyyyxxxyxyyzxzzxxxxzxxyyzyyxzxzyyzzyzyzzxxyyyyyyyzyxxzxyxyzxzzxxxxzzxxyxzzzyxzxxxyyxxzzzyyyxzzzzyxxxyxxzxzzzyzzxzxzzyyzzxyxxzyzzxxxxzzyxzyyyxyxzzxxzyxxxxxxxxxxzzxzyzxyyzzzzyzxyzyyzxzyxzzxzzyzzyxzxxyzxzzxyyzxzxxzxyzxxxzyxyxxxxyyxzzyyyyxyzzxzyzxxzxyxyxyxzyzzyxxyxzyxxxzyxzzzyzzyzxyyxyxzzzyzzyyzzyxzzzxzyzzzyxyyyxzyzzxyzxxxzxyxxyxzxzxzyxyzxyzxxyyyyzxzzxzxzxyzzyyxzzxzzzyyzxzyxxxyyxyyzyzxxxyzyzyyyzxzzzyzyzyzyyzzxzzyxyzzyzyxyxyzxzyxyxyzxzyyzxyyyyyyzyxyxxyzyxxzyxzxxxxxyxyzzxyyyxxzzyyzxyyyyxxxzyxzxyxxzyxxxxzxyyyyzyzyxxxxxzzzxxzzzyyyzzyzzzxyxyyzyyyyyzxzzzyyxyzxyyyyxzyyyyzyxyxyxzyzzzzxyyxxzzzyyxxyyzzyzyxzyyzyyzyyyyzzxzzzyyyxxyzzxxzyxzxzxzyzzxyzyzzxxyyxyzzyzzzyyzzzyzyzyzxyzzzzzyyzyyzxzxxyxyyyxxzyyyzzxzzzzzzyxzzyzyyyzxyxzzzxzyzzxzzyyzxzyzzxyyzzyxzyzyzyxzyxxxyzxxxxyzxxxyzyxxxyxxyyxxzxzyxyyyxzyzzxyyyyxyxxxzzyyxxyxzxyyxzzzzyxzyyyzxzzxzyzyyxxxzyyxyzxzzzxzyxzyyxyyzxyxxyzxzyzyxxxzyyxzyyzzyyxyyyxzzyyzyxxyzyyxzxxzxyxxzyzxzyzyxyxzzxxxyyzxyxzyxxzyxxzyzyyxxzxzzyxzxzyyzzzzzxyxxxzyxxxyyxxxxyzzyyzyxzzxyxyyyxzzyzyxxxyzxzxyyyzyyyxzxxzyyzxxzxxxyyxxyxyxyyyyzzzzzzzyxyxxyyyzyxzxxxyxxxyyxxyyxyxzxxzxyzxyyzzyxyxxyzyxxyyxyzxyzzyzxyxxzyzxyxzxzxzzyxyyyzyxzyzxzzzxxzyzyyyzxyyyyyyxyxyzyzxzzzzzxyyxzzxyyyxxxxzyxxyxyzzyxxyyzxzzyzzxxyyyzzxxzzxyzyzzyyzyyyzyzxyxyyzzzzxxxxyxyxyxyxyzyzzyxxzxyxxyxyxzzzyyyzxxxyzyxyxzyyyxyxxzyzxxzyyxzzzxzyxzxyzzzxzxxzzyxzyxyzxzyxyxyzzzxyzyzxxzyyyzyxyyzxyxzzyxyzyzyxxyzxyyyyzzzzxzyyzzxxzxyzxxyxyyzxxxzyxxxxxxzyxxyzxxxyxxyzzzzzzyyyzxzzxzxyxzyxyzyyyxzxxxzzxyzzyzzyxzyxxyxxzzyyyzxzyxyzyxzxyyzyxyxzxyzyzzxxxyzzzyzyzyzyxxxzxzxzzzyzxxxyzyyzyzxyyyxxzyzyxxyyzzzyzzyxyzyyxzxzxzxxyzyyyzzzyxyxyyxyyyzyyzzxxxzxyyzyxxxyzxxxyyzxxxxzzzyzyxyyyyyxxzyxyxxyxxxzzxzyxxyxyyyyzxzzyxzyzxzxxzzzxyxxyyyyyxzxyxyyzzxyyxzxxyxxzxyyzyxxzyyyyyxzyyxyyzzzxzxyxyxyzyxzxxxzyyxzzyyzyxyxxyxyzxyxzxyzyxxzzxyzyyyxzyyyyzyzxxzxxxzxyxxxxyzzyzzyzxxyyzxyzxyxxyyxzxxyzxyyzzxyyyxzyzxxzxxzzzzyyxyxxxzxzzxyyyxzzzxzyzyzxzzxzxyxxyyxxxzyzzxyyxxzzyzxyxxxzxxyzzxxyzxzzxzxyyyxyzyyxxzyzxyyzyyxyyyyzyyyyxxzxzzzyxyyyyzyxxzxxzxyzxxzzxzzyzzzyxzzzyxxxyzxxyyxyyzyzyzxxzyzyzxyxyzyyzxyxzzxxyxzyyxyzzzzxyxyyzzxzzyzzxxzzzxxxzyyzzyyzyxzzzyyxxxyzzxzxxzyxzxxzxyyzzxxyzzxyyyxyzyxzzxyxxxxyyxyzyzzxxzxyyxxyzxyyxyzyzzxxyzyyxzyzyxyxxyxxzxzzzyzzzyxyzyzyyxxxyyzzxxyxyzzzxyxzyyxyyxzzxxzzyxzzzzzyyxxzyzyzzxxxzzxzyxyxyxyzzxxyzyyxxxyyzyxyxxxyxyxxzzxxzxxzzyyzzxxxxzxzxxyyyxxxxyyxzxzyzzxyxzzyxzyxyzyyxyzxzzyyzyzzzzyxyxzxyzzyxzxxxxzxxyxxzyzyyzxyzyyzxzxyyyyxxzyyyzyxyyzzxyyyyzzxxxyzzyzyxxxyxxzyzxxxxzyyxzyxxxyzyyxzzzxxyyxyxzxzyzxxzyxxyxzxxyzzzxxzzyzyzzxxzxyyyzxxzxzxyxxxyyyxxzyzyyzyyyyxxzyyxyyxyxyzxzxxxzyzzyzxyyyxyzxxxyxxxzxyyxxxxxxzyzzxzzxzxzxyxyxzyyzxxzyxyzxyyxzyyyzxyyxzxzyzxxyyzyyzzzxxxyyxxyyyxyyxyxyyyxzzzxzxzyyzyzyxxxyxyzzyxxxxxzxyyxyxyzyxxyxzyyyyyyyyzzyxxyyxyzzyzyyyyxzxyxzyxyzzyxzzyxyxzyzyzxzxyxxxzzyyyyxxxyxxxzyyzyzxyyzxzyyxxzxzxxyxxzzyyzzxzyxzzxyyxyzyyyyxzxzxxyzxxyyzzzyxzxyyyyxzyxxzxxyyzzyzxxzxzxyzzxxyzyxzxxxyyzyxyxxxzzxzxzxyyzxzyyzzzxyyyzxzxzyzyxxzyyxxxzzxxzzxyyyxyxyyyzyyxyxyyzyxyyxxxzxyyxxzzxxyyzyzxzxxyyzzzzxyyyxyxyzzyxyyxzzxxyyxzzyzxxzxxxxyyxyyxzyzxxxzzzxyyyxzzxzzzyxxyxzyzyxzzxyzzxxzxyzzyzzyzxxzzzyyzyxzyxxxyzxyzxzxxyzyxzyzyyzyyzyyyzyxzxyxyzxyxzyzxxzxzyyxxyyzzyzzzzzxyyxxyyzyzzxyzzzyxxyxxyzxyzzyzxxzzyyxzzyxxyyyzzxzzzyzxzyyzzxyzxzyyxxzyxzzxyyzyzzyyyyzyyxyyzzyzzzzxzxzzyzyzzzxzzzzzyyzyyzyxyyzxyxxyxyzzzzyzzyxzzyxxzyyxxyxxyxyyyyyyxxzyyzyxxyxxxzxyyyxxyzxyxxyxyxzxxxyxxyyzzxxyyzyzyzyyxxzzyxxyzzyzxyzzyyzyxxyyxyyzyzyyxxxzzzxyyyzyzzzxxxyxxzzyyzyzzzxyyxyzzxyxzzyxxzyxzzxyxyxyzxxyzxyxyzyzzxzxyxzzxyxzyzzyxyzyyxyzzyyzxyyxzzzyyzyzxzyzyyxxzxzxxyyzxyzzxxzxzyxyyxzxzzxzxzzxzyyyxxxyyxzyzxyyzxzxyzxzzzyxzyzxyyxxyyxzyyxzxxzxyyxyzzzxyxxyzxxzxxxxxzyzxxzyyxzyxxxyxxxzzxxzyzyzxyxxyyzyzzzyyzzxyyxzxxzxyzzzyyxxyxxxyzzyzzzyzzyzzzyxxyzyxxxzzyxxxxyzyyxxxxxzzyxyyzzxyxxxxxxxyyzyxyyzzyxyxxzzzxxzyyyyyyzxxyzyxxzzxzzzxyzyyxxyzxxzzzxzxxyzxzzyzxxyxzyxyzyxzxyzyzzyzyyxzzxyyyxyzzxzxyzxxyxxzyzxyyyyyxzxxxxyyzxxzyzyzyzzyzzxxxzyzyyxxxzyyzyyzzxxxzzyzxyzzyyyxyxxzxyzxyxyyzxzxyxxxyyxxzzxzzyxxzzzzxxzyyyzyxzyyxzyzxyxxzyxxyyzyxzxzxzzyzxyzzzyzxyyxxyxxyyxxyxxxzyzzxyxxxzzzyxzyxzxyzxzyyyyyxzyzyxxzyxxyyxyyzxyxxxyyxyzxyxyxzzzxyxyzzzyyyyxyzzxxzyzzyyzyyxxxzzxxxxxxxyxzxzyzxzzxyyzyxyzzzyzzxzyxzyxyzxyyyxyyxzzxxzyzyxxyyzzyyzyyyzzxxzzxzyzyxxxyzzyyzyyyyyzzzzxxyzzyzxxzyyyyyxyyzyxyzxyzzzzzyyxxyzzyzzyzzyxyyzyzyyyzyzyyzyyxzzxxxyxzzxxzxyyxzxyxxxzyxzyzzyxzyzyyyyxxxzzzyxxyxyxxxxzzxxxzzyxyxzyzzzxzzyyzzyyzyxyxxzxxzzzyyzzyxxxxzyzzzyzxxyxxzxxxxyxxyxxzzyzyzzzyzyyyyyyzzzxxxzzyzyxyxzzyyzyyxyyxzyxzxyxzxzxxxxzyzyyxxxyyyzyzxyzyyyzzzyzxzxyxzzxzyxzxyzxxxzxxxyzyxxyyyzyxzxxzzyyxxxxyyxzyyyyyzzxxyxzyxyxyyzxzzxzzxxzxyzxyyxzxxyyyyxyzxyxyxxzyzzzxyyyxxxxxyyxxzxyzzxzyxyxzxxyxzxxzyxzxxxxzyyzzxyxzzxxxyzyxzyxxyyxzzyyyyxyxxyzzzzyxxyzyyyzxzxxyyzyzxzxyzxxzxzxzyyzxxyxzyxzxzzzyzxzyxzzzxzzzyzzzyxzzxxxyyyxzxxxyxyzzyzzyzxxyxxzzyxyzxxxxxxxxzyxxxzyxyxzzxyzxzzzxxyxyyxxzzyyxyzzzzxxyzxxyzyzxxzyzyxxxyzxxxzyyxzxyxyyyxxxzyyxyyyyzxyzyzxxzxzzzyyzxyxyzxzzxzzyxzzxzzyxxxyxzzzzzxyzzyyxxyyzyzxyzyzzzxxxxzyyzzzzxzxzyzzzzzyyzyyxxzzyxxyzyzzzxxxyzxyyzxxzzzzyyyxzyzyzxzzyxyyzzxzzyxxzyyzzxxzzyyxzxzzxzzyzyzzxyyxxzxzxyxxxzxxyyyxzxxxxzyzzyxyxxyzxzxxzxzxzzyyzyzxyyyyzxxyxyxyzyzxyyyyxyyyzzxxyzzyzxzzyzyxzxzxxxyxzzzyyxzxyzyyyzyzzzxyyzxyzyzyxyzxzxxyxyyyzxzxyyxyxxyyxyzyzzyyzzxyyxzxzyyxyxzxyxzzxyzzyzxxzyyxyyzxxxyzxyyzyxxzxyzzzzxyxyxxzzzxyyzxxxyyzzyzzzzyyzzzxxzyxzzyxyyyxyyyzzzyxzzxxyxzxzxzyyyxxxzzyzzxzyxxyzzxyzyyyzzyxzxyzxyzzzyyxzyxxxxzxzxzxxyyzyyzzyxzyyxxzzyzzyzxxzzxzzyyzzxxzyyyyzxxyxzxxyxzzzyyyyzzyyxyzyzxxyxzxxzyxzyyxxxzzyxzzyzxyzzxyzyxyzzxyzxyxzzzxyzzyxxyyzyyyxyxzzzxxzxyyxzyxxzxyyzzyyxyzyzxyyzyxyzxxxyzxxyzxxzxxyxzzxzyxyxxyzxyxyxzzyxyzzyyxzzxxxyxxyzxxxyyzzzyzyyxyxyyzyxxxxxyxzxzyzyxyzzxyxyxyzxzxzzxxxyyxxyzyyxyzzxyzzyyyyzzxxzxyzxyxzxzxzyxyyyyyzxxzyyzxzyzzxxyxyxzxxyxzyxxyyxyyyxxxzzyyyxyxzxxyxyzxyzxyyyzzzzyzxzyyzxzyyzyyzzxyxxzzzyxyxzyxyzxxyyzyzzzyyzyyyyyzyxxyzyyyzxyzzzyxyxxzyyxzxyzxzyzzyyzxzyzzzzxxzyyxzzzxxzyyzzyyzxyxyxzyxxzzxzyzxxyzxzxyyzyyzxzyyxxyzzyxxxyyzzxxxyzyzzzzyyxzzzyxyzyzyzzyyyzxzzyyyxyxyxyxxyyyxyxzyzyzzxyyyxzyxxxyxxxyyzxzyxzxxzyzyxyzyzzyyyyyzyxzzyxxyzxyzyxzyzyxxzxzxyxxyxxxxzyxxyxzxxyxzxxzzxyyxxyzxxzyzzyzxxyxxzyzyzzzzxyxzyyyzzyxzzzzxxzzxzzzxzxyyyzyxzyxxyxzyzzyyzyzyxyyzxzyzyxyzzyzzzyzyxyxxzyzxzzzzzzyzyyyyzzzxzxxyyzzxyyyzxzzxzxyzzxyzzzzxzzyxzyxzxyzyzzzzyxzxyyyzzyxzyzxxzzzyxxyyyyyyxzyzyyxyzzyxzzxyyyyzxxxxyzxzyyzzzzxxzxyxzxzyzzxxyzyyxyxyzyxxzyxyxyzxxxzyxzzyyzzxzzzxzxzxyzxyyxzxzyxzxzzxyyxzzyxyzyyyyxzyxyzxyzyxzzyzyyzzyyxzzyzxyxyzzzyyyxyyzzxxzxxxyxxzyzyxyyxxyzzxyyyyyyxzxxxxxxxzzxyzxzxzyxyxzzyzyzyxzzyyzyzzyxzzzzxxyxxyxzxyxxzyyzxxzxyzyxzyzxxxxyzxyxzxyyzzyzxxxzyyxzyxzxxyzzzxxxxxyxyzxzzyxzyxxzzzzxzyzzzzxxyzyxzzzyzzyzxxzzyxzyxzyzyzzyzyxzzxyyxzxyyyxzxzxzyyyzxyzxzxyzxxxxxyxyxzzyyzyzyyxxxyzzzyxyzxyzzxxxzyxxyyzyxyyzyxzxzxxxxxyyxxyyzyxzxyyyzzyzyyyyyxyzxzxyyxzxzyxzyzxyzxyxxyxzxzyyzzyzzyyzzzzxyzyzzyzzyyxzzxyxyxxyzzzyyzzxzxxzyzxzxxzxyxyzzyyzxyzzzyxyzyxzxzyxxzzzxxxzzzyxyyxzyyxyxxyxzxzxzzzzzyzyyxxyzxxzzyyyyxyxzzxzxxyxyxzxzxxyyyxxyyzzyyxyxzzzzxyzyxzzxyyzzzxzzyxyxxzzxxxzxzyyyzzzyyzyxyxyzzzxzxzxxxyxyyzxzxyyyxyxyyxzzzzxzyzzzxzyyyxxzxxxxyzzyyzyyxyyyzyxyxxyyxxzzxyyzxxzyyyxyzyyyzzxyxxyzxzxxxyyxyzyxxxxyyxyzyyyzzzzzxzzxyyyyyzxzzzxxyzzxyzyzyxxxzxxzzyzzzxzxxzzzzxzzxyzyxxzyyyxxyzzyxzyzzzzyzzxxxzxzxyzxyxyxxzxxzxzzyxyxyzzyxxzyyxzzxyzzyxyyyyxxzyyxxzxxxzzzyxyzyyyxzxyzxxzxxyyxzzxzyzxzyyzxzzxzyyyzxyxxxzxxyzzxxzyzzzzzxxxzzxyzyxxzyxzxzxzzyzxyyzzzzzyxxzxxzxzxyyyxxyyzyxxxxzxxxyzzxzxyxxzxxxzyxyyxzyzyzzxyxxxyxzxxzxxxzzyyzxxxzxzzzxxxxxzzzzxyyxzxyyxyzxxxyxzzzyxxxxzxxxzyyxzxzyxxyzxxzyyyzxxyyzyzzzyyzzxxyzzyyzxxxxzyyzyyzyxyxzxzyyxyyyyzxxzxzzyxxxyyzyyxxzzyxyxzxyzzxxxzxxxzzzyzyxxxyyzxyxyyyxxzzzzzxyxzxyxyyzzzzxzzzzxxyxyzxyyzxzzyyxzzyzzzxxxyzzzzxxyzzxyyyyxzzxzyyyzzxyyxyyzxyzyxzyyzyyyyzzzxzxzyzxzxxyzxzzxxxyxyzxxxxxzxxzxxxzyyxyzzxxzyxyxxzyzzyxyyzyzyxzzzyzyyxxxzxzxzxxxxzyxzxxzyxyyzxxzyzzzxxxyxyyyxxzzyxyxyyzyzyzxyzxzxyzxzxxyzyxyzxyxyyzzxxyyxxyyxyzxyzxyzyyyzxyyyzyzyxyyxyzyyxzxxxyxxzxyxyzzzyxxzyyyyyyxzzzxxyyzzxzxyyxyxxzzzxzzyzxyyxyzxzyyxyzyxyyzyyxxxxxxxzxxzzxzxyzxxyzyyyzzyxyzyzyzyyyyxxzyyyzxyxxyyzxzzyxyzyyyxzxxxxxzzyyzyzxyyzxzzyzyzyyxxxzyxyxyxyyxyyxzxxzyzxyyxzyxxxyxyzyyyzyzxxzxzxzyxzzzzzzzxyyyxyyzyzxzyzxyzzzzyyxyxxyzyyyyyzxyxzzyyxxyxyyxzxxyzxzzzxzzxxzxxxzxxxxzxxxzzzxzyzxyzxzyzxzzxxxxyzyxxxzxyxzxzxzyxxyxxzzzxxxyxzzxzzzzzzyzyyyzxxyyyyxxxzyxyzzyyxxxyyxyxyzxyxzzxyzyyyxzzyzzyyyzyzzyxxzyzzxyyzzxzxyyzzzxzzyyzyyyzyyyzyyzzyyzyzzxyyyzyyxyyxyyyyxxyyyxzyzzyzzyyxyyzyxxxzxzzzyyyzxyzxzyyyzyyxyyxzyzxzyyzzzxyyxyyzxxyyyzyzxzzzxzxxxzyyzzxzzyyyzyxzxzzyyzzxzxzxzxyxyzxxzzxxyxzxxxzxyxxyyyyxzyyzxzzxxyyyxzzxxzzxyzxzzyzzxyzzyxxxzzyyxzzyyzxzyxzzzxyzyxyxxzzxyyxyxxxzxzzxyxxzyxzyzyyxxxxzxzzzzxyzzxzxzzzyxzzzxyxyyxzxxxxyxzzxyxxxzzyxxzyyxzxzyzyzyyzxzyzzyyzzxxxxxzxxzzyzyxxyxzyxxyxzzzyyzzxxzyxyyxzxyyzzyzzyyzxxzzyxzxyxzyyxzxxzyxzyxxzxyzzxxyyzyxxzxxzxzzxzyzxzxyxyxxyyxxxyxxzzyyyxyxzyyxzzzxxyxxyxxzxzyzxzyxxyyzyyyyxzyyzzzyxxzzxyyxyzzxxyxyxxyyyyxxzyzyyzyxxxzxxzzxyzyxzzzyyyzzxzyxyzzzyxxzyxzyzyzzxxyzyzxzyyxzzyyzxzxyyzzyxxxzxyxzyzzyyzyyxyzxxzxxzyyzzxxxzxxyyyyyyyzyxzzyxyyyxzxxxzxzxxyzzzzzxzzyxzxzyzxyzxxxyyzzyyyxxzxyzyxyyxyzzxxxzzxzzzyxzyzxxzzyxzyyzxxxzxzyyzzzxyxxyyxzzyxxxxxxzxxzzzyzyxzyzxxxxyxxzzzyzxzzxzzzzxyyzyyzxxxxyzzxyzzzyyzyyzxzyzyxzyyzxyyyzyxxyxyzxzxyxyyzyzxxxzxxxyyxxzzxzxzyzxyzyzxyxxxxxzxxxyzyxyyyzxzzxzxyyyxxyyyyyyzzxzzzxxxyxyyzxzxxzzyxyzzxxzxzzxyzyxyyzxxyzzxxxyxxyyxyxyyyxzyyyzzzxxzxyzyzyzyzzxxyyyyzyyzzyxzxxzxyzzzyyyxyxxzxzzyzyyxyzyyzzzxyzyzzyxzxzyxyzzyxzyxyzxyyxxxxxxxzyxzyyzxyzyyyxxyyyzyxxyyxxzzyxxzxyyyzzxxxzzyxzxzzxzyzzzxyxxxzyyyxyxxyyxzxyyxyzzzyzxzxxyzxzyyzzyxzxyxzxyyxzyxzxxxyyzxxyxzxzzzxyyzyxzxxyzyzyxxzxxxzyyyxzyxyzyzxyxzyzyzyyyzxyxzxzxzxzyxyxzzyyzxyzzyxyyyxxxxzzyyxxzyyyxyxxzzzxxyyyzyyxyxzxzzxyzyxyyxzyzyyxzxzyyxxzyxxxxyzyzxyyzxyxxxyxxxxxzzyyzzyyzyyyyzxxxxzxxzxyxyzyyyyyyyyxyzxxzzyyzzyzyyzyxxzxxzyxzyyzzxxzzzzyxyxyxxyyyyxyzyzzyzxyxxxxyzzyyzxzzzzzzyxyxxyxyzxxyxxyzyyyyzxxyxzyzzyxyyxxzzyxyzxzyxxzzxzxxyzzyzyxyxxyxyyxzzxzzzxzyzxzzxyzzyzyxyyxyxyzxyxyxxzyzxzxzyyxyyyxzxxzzxzxzyzzxxyyyyxyxxyyxyzzyyzzxzyyzyxxyxyyxyyyzyzyyxyyxzyyxxyyyxyzzxyyzyxxxzxzxxxxzyzyzyyzzzyzzxzzzyxyyzxxzxxxxxyzyyxxzzzxxzyzxzxxxzzxyzyxzyzyzzyzyyxxzzxzyyxzzxxxxzyyyyzxzyxxzxxyxzzxyyyxxxyyyyzzyyzxzyyxzyzyyyzxzzzzxzzyxyzzxyyyzyzzzzxzzyzyyxxzxzyxzyzxzyzzxzxyxzzzzyxxxyxzyyyyzyxxzzyyxyzyxxyyyxyxzzxzzyyxzzzxyyxxzyzyyyzyzyyzyzyzzyxyxyyzzxzzyyzzxxzyxyyxzzyxxyxyyxyxxzzyzxzyxyxzyzyzxxxxzyyxxzzxyyxxxzxyzxzyzyzzyzyxyzzxxyyzxzyyzyzyyyxzyyxxyzzyzyyxxxxyzxxzzyyxzzxxyyzxzxzyxyxxxyyyzyxxzzzxxzxxxzzyxxyzyxyxyyzxzzyzyzxyxxxzxyzyxyxzyzxyxyzzxxzzyyxxzzxxzzyxxyzzyyzzzzzxzyyzxxzyzxyzzzzzzyyzyyyzyyzyxxzxzyyzyxzyzyzxyzyzyyxyyyyxxzzxyyxzyzzzyzxyzzxxxyzxyyyyxzyxyyyzxzzxzxzzyyyzzxzzzyzzzzzyxyyxxzyzzyyzyzzyxzyzzyyzyyyzyxyyzzyyzxyzxzyzxxzzxzyxxzzzzzzyzyyyyyxyzxyyxyxxyxzzxxxxyyzyzzxyzyyxxxxzzyxyyxzzxxxxyzzxzxzzzzzzxxxyyxxxyxyzzzxxxzzyxzxyyzxyzyyzxyzyzxxzxyxxzxzxyyxyyzzyyxxyxzyyzyzxyyxyxyzxxxyzyyyxyyxyxxyzxyzzzxzxyzyzyzzxzyxzyzxzyyzzyyyzzyzyyzxzxxxxxzzzzzyxyyzxyyxzxzyxxxzzzxxyyzyyxxyyxyxyzyzzzzxxxxzyxyxzyzzxxyxxzyyyzxyxzxzzxzyxyzyxxyyxzyzxzxxxzyyxzyyxzxzyyyxzyyyzxyxzyxzxyyyxxxyzzxzyyxzzxxzyzzyxyzzyxyzxxyyzyzzzzyzzxzyyxxxzyxyxxxzzxxxxzyxzyzxxzzxxzxyxxzyyyxzzyyzzzzxyyyxyxxzzzxyzyxxzzyxzyyzyzzyxxzyyyyzzyzzxzzyyyzyzxxzzyzxxxxxzzxzxzxxzyxzyxzyxxzzzzzxxxxzyxzyzyzyyzzyzzyxzxzzxyxzxyzxzzyzzzxyyzxxzyyyzyxyxyzxyxyyzxzyyzyzyzxzxxzzxyzzzxxxxzyxyxyzzyyxxyzzyzzyyyzyzzyyzyyyzzzzxyxyyxxxxyxyxyyzxzyyzxyxzzzxzxzxzxxxzyzzzxzyyxyyyxzyyzzzyzxzzzxxzzyzzxzyzyyzyyzxxyxyxzzyyzzyxyxyzxxzxyzxzyyzzyzzzxyyzxzyyxxzxxzxxzyxzzzyyyxzyzxxxzyxzyzyxyyxyxxzzxzyxzxyyyzyxzzzxxzyzzzxxxzzzzyzyyzxyxyxzyyyxzzxzxzyyxyxxyxxxyxyxxzxzzxxyzzxxyxyyyxxzyxyyyzxyyxyxxxyyyzyxyyyyzxyxzxxyzxxxxyxzyzzzzxyzyzxyxyyxyyyzxyxzyzzxyyyyxzzyyxyzzyyxxxyxxzyxzxzzxyxxxxyyzyyyzzyzxzzyzyyxyyxxxyyyzxzyzzzxyzxxzxyzyyzyxyxzyyxzzxyzyyyxzyyxyyyyxxyyzzxxyzxzxyxxxzzxzyzzzxxzyzyxyxzzzxyxxxzyyzyyxyzzxzyyxzxzyyxzyzxzzzxzzyzzxzyyyyyxzxyyxzzxzyyzxzyyxyyzyyzyzzxzxzyyxxzxzyxyzxyyxxzxzxzyxyzyxxxzxzxxxzzzzxyyzxyxyyxyyzzzxzxzzxxzxzyzxyxyzyyxyxzyxyyzxyzyxzzxzxxzzyyxzyxyxxzyyzzzyzxyzxxzyxyzyxxyxyyxyzxxyyxyxxxyxzzzzzxyzyyyzzxyzyxzxyxzyyzyzxyzzzzyxxzxzxzyxzzyyxxzyzzyxzxxzyyzxzyyyxzyyyxyxyzyyzxyzyyzxyzzzxyxyzzxxyyzzxzzzyxzxxyzxxzzxyzyxyxyyzzyzzzxxxyzzyxxzxzzzzxyxxzyyxzzxxxzxyxyzyxxzzzyzzzyxyyyxxyyxxxyzyxzyxxyzyxxzzzxzzzzxxyzzzzxxyyzxzxxzyzyyzxzzzzyyyzzyzzxzzzyyzzxxzyzzxxyxyyxzyyzzxyzzxzzxxzyzxxyyxxzyyyxyyzxxyxyyxyxzxxxzzxzxyzyxxzzyxyxyzzzxyxxzyyyyzyyxyyxzyxzyzxyzzyzzzyzyzxxzyxxyxxyzxxzyxzyxyyzxyxyyxzzxyxyyxzxxyyyxyxyxxyxxxxzzzyxyyxyyyzxzxyxzzxyxzyyxzxxyyzxxyxzzzxyzzzyyxxxyyyyxyzyzyzxyxzyyxxyzzyxzxyzyyxyyyxzzyxyxyxxzzxzxxzxxyzyyxxxxyyyyzxxyzxxzzyxxzzyzxyyyyyzyxxxyyxxzyzyxxyzzyyyzxyzzxzxzyxzzyzxyxyxxzyyxzxyzxyxxxzzxyzzyyyxzzyyzzyzxxzyxxxxzxxxzyzyzxyyyzzyzyxyyzyzyxzzyxzyzzyxxzyxyyyyzzyyzzyxxxxyzyyxyzyyzyxyzyyzzyzzyzxxzxxxyzxyxzxzzyyzzzxzyzzyzxzxyxxzyyyxyyzzxzzzzxyzxxxyxxzxyxxyzxyxxyxzxxxxxxxyzzzxxyxzzxyzyxzyxxxyxzzxzzxzyzxyyyyxxyyzxyyzxzzyyzxxxyzzzzzzyyyyyxyzzzzzyzzxyzzzzyyyzxzxxxyyzxzzyzxyyyyyxzzyyzxzxzzxzzxyzxzxzyyzzxxzyyxzxyyzyyyzxxxyxxzzxxzyyyzyzyxxzzxxzyyzzyyyzzyxzyyxxxzxzzzyzzyxyzyzzxzyyxyxxxyzyyyxxxyzxxxxxyzyzxzxxyyzxzyyzxzxyxyyzxxzzyyxyzyzyzzxzzyxyyyzxzyzxxxxzyyxzzyzzyzxxxyyxyxxyzxxzyzxyyyyzyzxxxzyxxzyzxyzyyyxyzzyyyxxzyxzxyyzzzzzzxyxxxzzxyyzyzxxxyzxxxxxzzxyzyzxzzyzyyxzyyyxyyxzxxzxyxzyyxyxxyxxzxxzzzzyxzzzxxzyzxyzzyyxyzzxyyzyxxzyzyxxzzyxzxyzyyzyzyxxyyxyyyyzzxzxzyyzxxzxxxzyyyyzyxzzxxyyxzyxyzxzzyyxzzyyyxyyzxyxxyyxxyyxxxzzyxxyxzzzzxzzyxzyxyyxyxzyzzyyzxxxzyzxxzyxyzxyyzzyxyyyzzyxxyzyzyzyyzzyzxyzyxxyyzyxzzyxzxzzzzyyyzyxzzxyzxxyzyxzyyyyzzxyzzyxxzzzxzyyxzxyxyyyxzyxxyxxxyxyzxyxzzyzzxxyyzzzxxyzxyxxzzzzzzzxxxyxzzyxzyyxzzzzzzxxyzzzyzyzxyyxyzxxxxyzzyyxyxzxzzzyyxzyzxzzxzyzyxzyxyyxxzxzzxzxxzxyzyyxzxyzxzzzxzxzxxyzzxyyxyzxzxxyxyyyxyxzyyxxzzyzxxzyxxyyzxzyzzxzzzxxzzzyzzxxyzxxxyyxxxzxyzyzyzyzzyzzxzxzxzzzzzyyzyzyyzzxyzyxxxyxyxyxzxxyyzzxxyyxxzxxxzyyyxxyxxxxyxyxxzxyzxxzyxxyxxxxyxxxzyxxxyzxzzxzxxzzzxyyzyzyyxxxyxzyxxyzyyyyzxzxxzzyzxyxxyyxyzxxzzyyzxzyyzyyzxxzxxxzzyzyyxzyyxyxyzzxyxzxzyxyzyyzyyxzzxzzzzyyzzzxxzxxzxyzxxyzxxyzxyzxxyxxyxxxzyzxyzxxyyyyyxzxzzyxyxzzyyyzyxzzzzyyzyxxxyxzyxyzxyzzyyxxxzzyyzxyxyzxzyyyzzyzxxzyzyyxzxzyzyzxzzxzyyxyxxxxxzxzxyyzxyyyzzyxyzzzxxzxxzyxzzyxxxxzyxzxyxyxyxxxzyzxxxyxxxyzzxyxzxyxxxzyyyyxzxxyxxyyzzyyzzxzxxxxyyzzxxzzxyzzzyxxxyyzxyzzzyxzyzyzxyxyxxxxxxzxxxzyzzxxyyyzxxzzzyyyyzxyzxxzzzxyzxyyxzyyxzyxyzyzzxzzxyyzxzzyyzzxzxxyxxxxyxzxyxyxxzyxyzzyxyzzxzyxxxzzzzyyyyxyyyzzzzyzzyyyyxzzyzzzzyzzyxxzzzzxzzzzyzyzzyxxzxxyzzxxzyzzzxzxxyxzxyzyyyzzxxxzxzzxzzzzyyzzzxxxxyyxxxzyxzxxyyyzxyyzyzyyxyzzxxxzyxzxxxxxzzyzxyxxzxyzzyxxzyyzxyyxxzyxyzxzyzyxxzxzzzxxyyyyxyzyxzzxxyyyzzxzxyzyxzxxxyyzzxyxxyzzyyzzxxxyzyyxzyxxyyyzyzyzyxzyyzzxyyyyzxyzzyyyyzxxzyzyxxzxzyxzzxzxyxzzxzzzzzzyzzyzzyyzyyzxxxyyyyzxyyzyzyzyzyxzxzzzzxyyzzyxxxzzyxyzyyyyyzxyxyyzxzzzyzzyyxyzyzyxzzxxxyzxxxxzyyxyxxzxxyzzzzyxxzzzyyyzxzyyzyxyyxyyzxzyyzxyxyzzyxxxyzxyzzzyyzxxxyxzzxzzyxzyzzxzyzxxyzyzxxzxzyzxyzzzyxzyyxzyxzyxxyxxzzzzzyzzyxzzxyyzxyxzzxzxyyzzzxyyyzyyzxyyxyyxyzyxzyxxzxyxzyyxxxxxzzyxxzzzyyyyyzxzyzxyyzxxyxyxzxzzyyxyzxzyzyxyyzxzxyzyyzxxzzyxyzzyzxyzzyzxxzyxzyyyxxyxyyyzxzyyzyxyxzzxyxxzzyzzyzyxyxyyxzyxyxzyxxxyzyyzxxxxyzyzxzzyyxxyzyyzyyzyzyzzzzzxyzzxyxyxzzyxxxyxzyzyyyxxxzzzyyxyyyxzzxzxxxxyyxzxyyzzzxzxxzyyzxzxyyyyyxxxzyzyzzyyzxxxyyyzxzxyzzzzyxyxxzzxzzyzzxyyzxyxzxzzzyzxzzyzyyzzxzyzyyzzxzxzzyyzyyzyyyzyxxzxxxyxxxzxyzyyyyyyxxyzzxxxyzyxxxzxzxxyxxyyzxzxzxyzyyyzzxzxyxzxxxxxyyxyyxxxzzyyyxxyzzyzzzzxxzyyzzzxyyxzyxxzyyxzzyxyxyxyzzyzxzzyzxyxzxzzyxxzzxyzxxxzxxzxxxzzyyxxzzzzzyyxzzxyzyyyyzxyzxxyzzxyzxzzzyyyxyxzzxzyyzyyyxxyyxzzxyxyzzyxzzzzzyxzxzzyyxyyzyyzyxxzzzyyyyyyzyzxyzxzyxzyxxzzyzxyyzyxyxxzxzxzzyzxzyxyzzxzzyxxyyxyzyzxyxyxxxxyxxxyzxyyyyyxxxzxzzzzzyxzzyyyxxyxzxzzzxxxxyxyzxzxyyxzyyyxzxyzzzzxyzyyzzxyxxxyzzxxxxzzyyxxxyzxxzxzzxyyzxxxxzyzxzxxzyxxyyxyzyxyyyxzzxyxzyyzyxxyxyxzzyxxzzxxzyzxzzyyzxzxxxxzxyxxzxzxzzzxzxzyyyyyxyzyzzzzxxzxyxxyyxxzzyyxyzzzyxyyzxxzxzzxzxzzzzyzxxzyzzyyzyxxxyyyyzxxzyyzyxxzxyxxxyzxxyyyxxyzzzyyyyxzzzxxyyyxxzyxzyzxzxzxyzyzxzyyyyxzxyyzxxzzyzyxxyxxyzzzxxxyzxyzxzyyyzzxzxzyzzxxyyxyxzyzzzzzyxzzxyxxxxxzyyxyxzxzzyzxxyxxxzzyzxzxyxxyzxzxyxzxyyxzzxzzxyyyyzyyxxyyzzzzzzzzzzzxyzzzyzzzxyxzyyxxxzzxyxyyyzyxyzxxyzyyxzzxxxzzxxxyyxzzyxyzzyyzxzxzxxyxzyyxzyyyyyzzxzyzxxzzyzyzxzyxxxzzyxyzzzzxzzxyyxxxxzyxzxxxzzyyzzyyxxzyzyyyyxzzxzzxzzzzyzzzzzyxxyyzzyzxxyzzyyzzxyzyzzyxzyyyzyzzyzyyxyyzyyyxxxxyzxyxzyzxzzyxyyzzyyxyyxzzxyxzzxxyxxyzyxyzzzyyyzzxyzyzxzxzxyxyzyyyzzyxzxzxyxzzxzxyyzzzxzzyxxzzzyxzxxyxzxxzyzxyyxxxyyxzzxzzyzxxyzzxxzxzyyzzxyzzzyxzxzxzxzyxyyxyzyyxyyxzyzyyzyxzxxzyxyxyyxzyxzyyyzzyyzyzxyyyxyzyxxxxyzyxyyxzzzzzxyxzxzxxyyyzxyxyyzyzyzxzyzxzxxyzxyyxxxxzyyyyzzzzyzxzzzyxzxzyxyxzzxzzzyxzzyyyxzyxxxyxzyyxxyyyyzyxzzyxyyyyyzyxxyyzzzxyxyyxxyzyyyzzxyxzxyzyzzxyyyyzyyzzxzzxzzyxzzxxzyzzzzxyyyyyxxzxzzyxxzzxzxzzzzyyxyxzzzyxxyxyyzxxzyyzxzzzzxzxzyzzyxxxzxxzzyzzzxzzzxzyxyzyxzxzxxzxxzyxxxzyzxxyzzxyyyxzyyxxzxzxxxyzxxyxxzzyxyxxzyxzyxxxxyyxzzyyyyzyyzyxxxzzyxxxzyyxzzxyzyyzxyxzzxyxyzzxyxzxzxyyzyyxxxyyyzyyxxyxzzzxyyxyzxzzyzxyxyzzzyzyzzxyzyyzzxyzzyxyyxyxzyyxyzxyzyyxxxyzyzyxzxzzyyxxxzxzxyyyxyxyyzxyyxzzyyyzxxzxxyxyzxxyyzxzyxzxyxzyxxzzzyzyzxxzyxzyxxxxyxxyyyyxxxyyxyzxxyzxzxyxxyxzxyyzxzxzyyyxxyxyxxxzxxyyyyyyzzzzyzyzxxxyxzzyyyyzyyzxxzxyzyyxxzzyxzzxzzyxzzyyyzxzxzzyxyyxxxyzxxxyzzxxyyxyzxxzzyyxzxyxxyzzxzxzxzyzzyxzxyxzzxxxyyzxzzzzxxyzyxxzyxzyxzxxyyxxzyzzyzyzxxzzxzzzyyyyzyzxxxzzzzyzzzyzxxyxzzyxyyyzxyzxyyxzzyxzyzyxxyxyyxxzzzxzyyzyzyxxzzxxxyzxyyxxzyzxxyzxzxxzzyxxyzxzxxyzzzzxxzzyyzyzxyxyxyyyzzxyxzxxyyzzyyzyyzyxyxxzxzyyzzzyzxyyyyxxxxyyyxxxyzxzxxxyzyxzxzzzxzzzzyxyzzzyzzxzyyxzyzxyzxyyyyyxyyyzxxzxzyyyzzxxzxzxxzxxyzzzxyyxxyxyzzxzxxxxzzzzxyxyxyyyxzyyyxzzzxzxyzyxzxzzxxyyxzzzyxyzyyxyzyzzyyyxzzxxxxyzxzxyzyyzyxxxzyxzzxxzyxyyxzyzzzxyzxxxyyyzzyxxxyzyzzxyxyxzxyyzxyyxyxzzzxyzzxyxyyxzxyzzxxzxyyzzxyxxxxxxzzxzxyxyxyxyxyxzxzzyyxzxzxyxzxxzzxzxyyzzxzzxxzyxyyyzyxzxzzyxzyzzyyxxyzzzzxyyxyxzyyzxyyxxxyyyyxxyzyzyyxzxzyzzzxzzyyxxzyxxxxxxzxxzyxxxxyzyzxyyxxxyyzxyxxyyyxxyzzzxxxxxxzyxzyzzzzzyyzzzyzzzxzxzzzzxyyzxzzyzyzzxzyyyzzxzyyxxxzyxzzxyyyxzyzyxzzxxzzxzyyxzyzyyxxyyyxyxxzxxxyyxyzyyxyzyxxzzyxyzyyxzxyzxxxyxyyyyyzyyxxzyzxxxxyzzxyyxzzxzxxyzyyxzzyyzxzxyxyyxyzzyyxzzyxxzxzzxxxxxyzxyzzzzxzyyxyzyzyxyxyzxxxzyxzzxyzzyxzzxzyzzzxzzxzxxxzzyxyxyxzxyxyyzzzxxxxzxzyyzyyyzyxzxyxzzzyxzyxzyyxyyxyzzzyxxyxxyyxxzzzxyyyzxzzzzxyxyxxzyyzzyzxyyyyxxyyxzxyzzxxzzxyyyxxzzyzxxxxxzxyxyzyyzxxxyzyyzyyyxxzxyxzyyzxzxxzxxxzyzxxzzxzyzzyxyxxxzyzzxzxxzxxxyyzzxyyxyzzzyzyxxzyxzxzzyzzxxxzyxzzyzzzyxyyxzyyzzyxxyxyxyzyxzzzxxzzzyxzzxxyzzyxzxxzxyxxzzxzxzzxyxyzyzzzxzyzzxyyxzyxxyyxyyzzxyyxyxxyyzxzyzzyxxyxxxzzxyxyxyzxyxzxzyzyxzxxxyxxyxxyxyyyzyyyxzzzxxyyzzyzxzxzyxyzzxxxxyzzxyxzzzzzzyxyzzxxxyyzxxyzyxyzyzxxzzzzzyyyyxzxyxxzyyyxyzyzxyyzyzxyxyxyzyyyxxzzyxyyzxzxyxyyxzzxyxyzxzzzzzzxyzyyxxyxzzxxyyyyyyzyzzzyyzyyxyxxzyzxxyzzzzyyyyzxzzzxyxzxxxxzxyyxyzzyzxzzxyyyyyzyyzxyzyxzyzyyyyyxxzzyyxzzxzzxzxxxzzxyxzyxyxxxyxyyxzzxzzzyyzyyyyxxxyzzzxyzzyyxyyxxzyyzxxxyyzzzxzyyzxxyxzzyxyyxzyxxzzxzyyyxzxzzyzzzzxxzxyxxxzzzxxyyzzzyzxzzyxzzzyzzzzxxzxyzxzyxzzzzxzzyyzyzxyzzxzzyzxzxzxxxyyxyzzyxxyxyyyyyzxxxxzyyyxyzyxyxyxxxzxxxzzyxxxyxxxyxyzzxyxyxxzzyzyxyyxyyyyyxzzxyzyyxzzzzyyyxyzxyxxxyzzyxxyyzxzyyyyxxyzzxyxxyyzxyyyyzyxyxxxyzxzyyxxxxyxyzyxyzxxyzyxxzxzzyyyyzyxzyyyzzyzxxzxzzyxyzxyyyxxzzzyyxzyyzxyxzxzxxzzxyyzzxyyxzxxyzyzzzxyzxzyxyxyyzzyyxxzyyzyyzyyyyxzyxxyyzxzxyxxxyxzzyxzyzyxxxxxzxxxyyyzzxyyyxyzzyxzxzzzyxzyzzxzxyxzzyzzzyyxxzyxyzxzxxyzzxyzyyxxxzzxxzxyyxzzyxyyyzxzxzxyyyzxyzzxzzxzzxzzyzzyzyyyyxxxyzxyxxzyxyzxxyyzyyzzxyzyzyxyxyyyxyxxyxxzzyyzyxyyzyxxzxyyxzzzyxxxyxyyzxzzzyyyxyzxyxyyyyxxyyzyyyxzyxzzzzyyxxxyzxxxyzxyyyzxxxzzzxxyyxyyyzzxyyyyyxyxzxzxyxzxyxxyxxyzxxyzxyzyzxyxyzyxxzyzzzxyxxyzyyxzxzzzzyzzzyyyxyxzzyyzzzxxzyyzzxzxyzxyyzyzyyyyzxxxxzxxxxxyyxxyxxzyzyzzzzyxzyxyxyzzyxzzxyxxzyzxyzxxxxxyxxxzyyxxzxxzyyyyzxxxxzzxxzzzyxzxxzxxyxxzzzzxzxxzxzyzxyzxyyyxyxxyyyzzyyxyzxxxyzzxzzzyzzzzyzzzyyyxzzxzyzyzzxxxzxzyzzyzzzxzxyxzyzyzxzzxyyyxyyxzyxxxyyxxyzxzyzxxzzxzyyzzxyxyyyyxzxzxxxxzxxzyzyxyzzxxyyzyzzyxyzxzyzzxxxzzyyyzzxyxzxyyxxxxyzyxyyxxzzzzyzxzxzyzxyyxyyxzxzyzzxxyyyxxxyyyzxyyzxyzzxxzzyzzzxyzyzxyyyxyyyyzzzyyxyxyxyyyxxxxxxzxxyzyyzxxzxyzxzyxxxzyxzzyyxxxzyxxyxzxzxxxyzxxzzzyzyzxxxzxxzzyyzyyxzyxzzxyyzxzyyyxzyyzzyxxxzyyyzyxzzyzzxyyxyyxyzzxxyyzyxxzzyxzxyzzyzzzxzzxxzxxzzyzyzzxyxzxzyxzzxxxyzxxyxzyxzzyyyxxyxzxyxyxzyzxxyzzyzyxyxyyyzyxyxxxxzxxzzxzyzxzxyxyzzxyyzzzxyyxyxyyzyyyxzzzxyzzxxyyxyyzyxxyyyyxxzyyyyxxzxxxyyzxzzyzzyxzzzyyyzyyzxzyzxyxzzxyyzxxyyxxzzzzyyzzxyzzyxzzzzxxyzxzzyyzyzyzzzzyzyzzzyzxyzyzxxzyzzyyyzxzyxyzzyxyzxxyxyzzxzyxzyyyyzyzxyzzzzzyzxzyyzzxxxyxzyyzzxyzxyxyzyyxxyyzxxyzzyzxzzzyyzyzzyzxzzyyzyxzzzxyyyzyzxzxxyyxxzyzxyxzyxxyzxxxzxzxxzzzxzyzxxyxyzzxxyxxzyxyxxxxyzxzyxyxzzxyzzyyxzzyzyxyzzzxxzzxzyxzxyxxzyyzyzyyyyxzzyxxzyxyxyxxxzxyzxzyyyyxzzxxyyzxzxxyyyzxzxzxxxzyzyyyyyxyyxzyxyxzxxxxxxyxzzzzxxyzxyyzzxzzzzzzxxxyxxyzyxyzzzyyyzxyzxyxzzyxxzzxyzzxzxzyzyxyyxzxxyyzyzxxyzzxxzxzzyzzyzzyzzxyxxyxyyxxyyzyzzzyyxxyyxyzzyxxzyyyyzzxxzxxyzxxzyzyzxyyzzzyyxzxyzzzxyzzyxzxyzxyzzxxyxzzxxxzzzxzzzzyyyxxzxxxxyzyyzxyyzyxzyzzxxxzxxxxyxzzzxxzyxzxzzxzxxxzxyyzxxxzyzxyxzxzzyzzzzxzxyyyyyyyzxzzyxzxzyzyxyzyzxxzxxyzxxzyxyzzxzzxzxxxzyzzxyyzyzxxzzxzyxyxyyyxyxyyzyxyxyzxxxxyxzxzzzyzzzxyxxzzxxxzzyyxzzyyyzxyzxxzxyxxzxzzyyyyyzzxzyzyzxzxzyyyzzxxzxxxxxxzzxyzzzyxzxxzyxyzxzxxyyzyxzyyyyzxzyxzxyzxyyxyyzzyzzxzzyyyxxzxyzzzzxyzxyzzyyxzxyyyyyxzyyzyxyyyzyyzyyyzzxzxxyxyzxxxzyzzzxzyzyyxzxxxzyzxyyzxzyyzzxzxxxyxyzyxxxxzxzxyxyyxzyzzyzxyzzxzxyxxyyzzzzxzyzzzyzzzxxxzxxzzzzxzzxzxxzyxzzxyzzzxxxxxxxzyyyxzyxxyxyzzxzyxxzxzyxzyzzzyyzxzzxzxyyxyxzxzzyzxzyyxyyyzyyyyyyzyxxyzyzyxyyxyxzxyzxzyzxxxyzyyzxxzyxyxxxxxyxzyxxyyzyzzzzxyyzzyzzyxzyzxxyxzxxyzxyyzyyzzxzzxzxxzxzxzxyxzzyzxzxzyzyzxxyxzyyxyxyxxzxzxxzxyzzyxzzyzzyyyyyzzxyzxzyyyyzzxzxyzyzxzxxyxyzyyzzxzxxyxzxyxyxxxzyxyzzxyyxyxyzxzzzxzxyxzyyyzyzzxxyxxzzzyxyyyxxzzyyxzxxzxyzxzxxxxyzxzyxzzxxyxyxxzxxyyzyxyyyxxzzzzyzyzxyxzzxzyzxxyxyxxxxzxyxxzxxxyyyxyzzzzzxzyxyyyyzzzzxzzzyxxxyzyzzxzzxyxzyxzxxyyxyzyxzzzzxzyzyzzxxyyzyyzzzxzzxxzyzzzxxyyzyyxzxxyzzxxxzxxxzyyxxzzyxzyyxyzzxyxxxxzzxyyyxzzyzxyxyyxyxxyzyxzxxzyxyxxyxxxyzzxzyxzyyzyzxyzzxxxzxzzxzyxzxzzzxxyyzxxzyzzxyxyxxxyzzyzxzzxxyxyxzzyzxxyxxyzyzzzxxzzxyxxyzzyyxxzyxzxyyyxxzyyzyyxzzyxxxyyxxzyxyxyyxyyzzyxyyyyzxyyxxxyyyyzxyzzzyxxzyxxxxyxyzyxxxzyzxxzzzyzyyzyzxzzzzzyxyxyyzxyxxxxxyyyyyzzzzxyyyxzyzzxxxzyzxxzxxxyzzxzyyxzxzzxzzxxxyxxyxyyzyxzzyzyxxxxzxxxxzxzyyzzzxxxxzxxyzxyzzxxxyzzzzyzxxzzxxyzzyxyyzzxxxzzyzyzxzxzyxyzxxzxyxzxzyyyzzyzxyxxxyyzzxyyzxxyzxyzxzyxxxxxyzzxyxzyxxxzzzxyzxyzxyyzxxzxxyyxyyxyxxyzyzzzzzyyxzzzyzxzxyxxzyxxyyzzyxzxzyzyxyyzzxyyyyxxzzxxzyxzxxzyxxyxyxxzzzzxzxxxyxzyzxzyyyzxxzyzzzyyyyyyxzxyxzxzxyzxyyxyzxyyxxyxxxzxzyxzzyyxxxyxyyzzyyyzxxyxzzxxxxxzxyyxzyzzyzzyxyyzyxyzzzzxyxzxxyzzzxzxxxxzzxzzzzzxyxxzzyxyxyzyyyxyzyxyyzxyyyzyxzzxxzxxyyyzyyzxzxyyxxzzzzyyzzzxzzyzyyyzyxxxzxzxxzyzzxzzyzxxyyyxzzyyxzyxxxzyzyxzxzyyxzzyyzxzxzyzxyxxyyzyyxxzzyzzyxxyzyzzyxzzyzzzyyzzyyxyyzyyzzxzzxzxzxzxzxxxyxxyzxyyyyzzxzzxzxxyzzyzyxxyxyxxyzzyzxyzzxyxzyxxyzyxxyxzyzzyyyzyzxxxzxxyxxxzxxxxzxzxyxzyzzyzxyzxyyxyzyyxxyyxxxyzyyzzzzzzxyxzzxxxyxyyxyzxyyxxzxxzxyyyyzzxzzxyzyxyzxyyxzyzyzyyzyxzzzzxxxzyyxyyxyxxyyzxzxxxyzyzzxzxxyyxzyzxyyyxzyyzyyxxzxyyyxyzyxyyxyxzxxyzzyxyzzxxxyyyxyxxzzzyyyxyyyzyxzxzxxxxxxzxxyzzyzxyzzzzzxyxyyxzxyyxyxxzzxxyzyxyzxyzzyyyzxzxyzxzyzxzzyxzyxxxxxyyzyzyzxzyyzzxyxyxzyxxzzxzyzxxxxxxxxxyxzzxzzzzxzxyxzxxxxzyxxxxxxxzxxzzxyzzzyyxyzxyzyzzxxyzxyxxxzyxzyzzyzxyzyxyxzzxzzzxzxzyyxzxyxyxxyyyzxyxzyxxzxzxxyxxyyzyxzyyzzzxzzxxzzzyzzxyzxxxxzyxzyyzxxzyyyyzzyyxzyxzxxzyyyyyzyxyyyzyxyxzzxxzzyzyxxxxxyzzyzxzzyxyxxxyxxzyzzxzyxxxyzzzxxyxyyyyxzyyxzzyyxyxxzyxyyxzzzxyzzxyxyzxyxyxxzyyxyyyxyyyyxxzxzxzzxyxyxyxyxyzyzyzyyxxzzzxyzxzxyxxyxyzyyzyzzyxyyxzzzyyyyxzzxyyxzxzxyxxxxxzyyyyxzzxxzzzxxxzxxyxyxyzzyxxzzyxxyxyyxzzyyyzyxxyxzyxyyyyyyxyxyxzyyxxxxyzzxzxzxxxxzzyzzyzxzxzyyzzyzxyyyxxxxyxxxxzyzzzzzxxzxyxzxyxxzxxzxxzxxxxzzyxyzyyxxyxyxxzzyzzzzxxzzxyzzxxyzxxzyzzyzyyyxxyyzzyzzyxyxxzzzxzzzyxxxxxxyxyyxyyyxzxyzxzxzzzxyzzxzxzyxzzxzzyxyxyxyyzxxzxxyzzxyxxxyzxzxyzzyyzzyzyzxxzzyyzxyxxyyyyyzyyyzzyxyzyzxxyyzzxxxzyzyzxzzxzzzxxyzxzxxzxyxzzyxyyyzxxyzyxzyzyxzxxzxyzzxzzxzzyyyxzyzyyxxzyzxzzzzzyzzxxxzzzzyzxxyxyxxyzyzxxzyzzyzzyzyyzzzzyzxxzyyyyzzyxzyzyzyyxyzyxxxxyyxxxxyyxxxxxxxzxzzxxxxxzyyyxxxyyxzxxzxxxxyxyzyxyyyzzxzxyxyxyxxyzyyyxyzyzyxyzyzyxxyzyzzxxzxyyyxyzyzyzyzzyyyzzzyxxxyxzzxxyzyxxzzyzxxxyyyxyxzxyxzyzyxzzyzxyxxyyzyzxxyyxzzyzzxyxzxxyyyyxyyyxzzxyyxxxyzzxyyyyyxyxzzyzxxyyxxyxyxyzzxzzyyxyxxyyyxxyxxyxxzyxzyyxxyzyyyyxxyzxzzxyyxzyyzzyyxyzyxyxxzxyyyxxyzxzxzxxzyyxyyxxyyyxyyzyyzyyyxzyyzyyxyxzxyzzyyxzyzxzzxzxxxyyzyzxzxzzzxyyxyyzzzzxzxzyyzzyxzyzxyxxzxyzyxyzyxyzyxzyyzyxzzyyyxyxzzzzxxyxyzyzzzyyxxzzzzzyxzyzzxzyyyzxxzxxzyxxxyzyxyxzyyxxxxzxyyyyxxxzyyzyzzzzyyxxxzxxzyzxyxyxzyyxxxzzxxyxzyzxzzzxxxxxyyyyzzzzyyyzzzzxyxxzxzzyzyxxyyyzyzyzyyzyxzxyxxzyxyyyzxxzxzyyxyyxzxxxyxzyzyyxzzyxzyxxyyzyxzzzxyzyyzxxxyxzyzyxxyyzyyxxyzzzxxxxzzzxzzyzyxyzzxxyyxyyyxzyzzxyyyzxyxxzzxxyyxyyyyxzzxyxzxyyxzxzyyxzxzxxzzzyzxyzyxyzyxyzyzzyzyxzzzxyzzyzxxxyxxyxyyyyzxzxzxxzzyyxyzyzyzyzxzyxxxzxxxzzyxxxzxxzxxxxyyzzyxyxzxxyzyyzxzyyzyyyyxzyyzxzzxzxzyxxyxyxxzxyzyxxzxxxxyzzyzxzzzxzzyyxzzxzxyzzyxyxzxyxzyyzyxxxzyyzxyzxyyzxzyyyyxzxyyxzyzxzzyzzyxzyyzyyzxzzzzxyyyxxxyxzyzzxzyzyxxzzzxyzxyxzxyyyzyyyzyyzxzxxxyzzzzxzzyxyzzxxzyzxyzyyyzzyzzzxyxxxxxzzzzyzzzzyzzyxyxxzyzyzyzxyzzzyyzyxxyxyyyyzzyzyyzxxzyxxxzzxzzyxzyzyxxzzxyyxxxyxyyyxyxxzzxxyxyxyxzyyxzxxzzzzxzyzzxyxxxxxyxyzzxxzyyzyyxxxzzxzzzzyzxzyxxxxzzzxyzyyxzxxyzxzzxyxxxxyyxyyzyzzyyyxxyxyxyyzzyzyyxzxyyzxzzxyyyxzxyxxyxzyzyzxzxyzyyyxxzzzzxzyxyzzzzxxyzyyyzxxzxxzxyyyxzxyxxxyyxzzxyxxzxzxyzyxyxyyzyzyzxxyzyyxyxyzxzzxyzxxzzxxzyzyyzyxyyxxxzxyxxyxzzzxyzzyyxzzxyzxzzyzyyzyzyxyyzyyxxzxyxyyyyyzyyzyzzxyyxyxzxzzzyyxyxxyxzxzyxzzzyzyzyzzzyzxxxyxzyxyzxzyzxyzxxyzxyxyxxzyyzxyxyxzyxxxzzzyzxxzyxxzzyyyzzzxyyxxzyzyyzxxzyzxxxzzyxxxyxzyxxyzzzzxzxyxyxyyyyzyxyyyyzzxzyzzyzyzxyxyzyyyyyxzzxyzxzyyzyxzzyxyyxyxyxyxzxyyyxyxxyyxxxxyzzyxyyzzyxyyzxyzxxyxzxxyzxzzzzyxzyzyzxyxxyzzyzyzxyxzxxyzxxyxxyzzyxxzzxxyyxzxzzyxyyyxxyzyzxzzxzxyzzxzzzyyyxzxxxyxxzzxxyyzzzyzzxyzyzzyzxzxyxzyyzxzxyxzyxxxxxyyxzyzxzxxzyzyyyyyyyyyzyyxxzxyzxxxzxyyzzyxyzxxzzyxzzzyyzzyyxxzxxyxyyxzzxyyzxzxzzzxyzxxzxzyyyzzzxyxyzzzyzzyzxzyzzyxzzzzyyyyzzyyzyyyzzxyxxyxyyyyzxyyxxxxxxzxxyzxzxxxxyzyyxzzxyyzzzxyzxyxyzxyzzxzxyzyxzzxyyzxxzxzxyzxxxzyyzzxyxxyyyxxyzyyxyxyzyxyzzxzxyzzxyxyzxzyxzyzzxyxxxzyxzzxzxxzzxxzxxzzyxzyyzxyxyzyyyyxyzxxxyzxyzzyyyyyxyxyzxyyzzzyxzyzxxxyzzxzxzyxyyyzxzxzyzxzzyxyxxzyxxyyyxyyzzzxyyyyzyyzyzyxxzxzxxyxxyxyyxzzzyyzyzyzzxzzzyyzyxzzzzyzyyxyzzzzxyzzxyzzxxzxxyzxxzxzzxzzxxzzxyzzyxzzzxyyzzxyxyyyxyyyxzxzyxxxzyzyxyyyxxxzxyzzzyzxxyxxzyxzzzzzyxyzzyyzzyxxxzxxzyzyyzyzyzxxxxyxyxxxyyyyzxzzxxzzzyxzzyxzxyyxxyxxyyzzxyzyyzyyxzzxyzyyxzyyxzzzyxyyxxyyyyzzxxyxyzxyyyxyzyxyxzzzzzxzzzxzyzzxyzxxzxzxxzxxyyxxyzzxzzzyyyxxyxzzxxxyxzxxzyyxyxzxyxzyyyyzxzyxxxzzxyxyzzxxzxzzxyzzxyzxzxxxxzzxyxxxyxzyyyyzyzxxyzxzzxyyzzyyxyyzyzzxyxzzyyzzzzzxzyxyzyyzzxxyzzzyxyzyyyxxxyxxxyxxyxzxxyxyxzxyxyyxyzxzxxyxxyyzxzyzzyzyyyyyxzxzzxzyyxxzxxxyzyzxyyxyzzzyyyxyzzyxyyxzyyyxzzzzzyyzyyxyyzyxzzxyzyyzyxzzyyxyzxyxxzyxxyzyzzxyyxzzyyyxzzzyyxyzzzyxzzxzxzyyxxxzyxzyyzyyxyzyzxyyxzyxzxxzzyyzzyyzzxxzxyzyxxxyyzyzyyxxxyzxxyzxyzxxyzxyxxxyzzyxzxyyxyzxyxxzyxxzxzxzzzzyyzzxyyzyzxxxxzxzxyzyxzzyxyyyzxyzyxzzzyxxxzxyzxxzyyyzxzxxyyyzyxzzxyxyxxxxyzyxyzxxxzzzyyxxxyxxxxzxzxyyxyyyxxyxyxyyyzzzyxxyxxzxzzyxxzxyxzyxxyyxyxxxyxzxyxyzzyxxzxzyyyxyxyzzyxyyzyyyzxzxzyxyxyxxzzzxyzyyyyyyyzyyxzyxyzzxyyxzxyyxzyzzyzyzzxyzyyxxzxxzzzyyxzyzyzxzyzyyyxzzyyyxxyzyxxxzxyxxyzzxzyxyzyzyxxzxxyzyzzxyyyyzyxyyyyyyxyzxxyzxzyxyyyzyxyzyzxyxxxzxxxzzzxzxzyxzyzyyyyxyyzyzyyzxyyzyzxzxyxxyzyzxzzyyxxzyyyxyzxzyyyyyzxxyyxxxxxxxyyzyxzzxxzzxzzxyxyxyxzyxxzxxyzyyyzxzxzyyyzxyyyzyyzzyzzzyzyzyyxzzyxyxxzxyxyxzyzyzzxxzyyzzzyzzyxxxzzzxzzzzyyzzyyzzxxxxzyxzzxzyzyxzyxyzzzyyyxzxxzzzzyyzyyzyyyzyyzxzyyzzxyxyzxyyzyxzzyzxzzyyxyzxzzzzzzyyzzyyyzyxxyyxxxzxyxyzyzzyyxzzzyzyxzxzzzzyzxxxxzyzzyyyzyzxzyyyzzyxxyzzyxyzxyyzyyxxyxyyyyzzyzxxyyyxyyyzyzzyzzxyxxxzxzzxzyxzxxyxyxzzzyxyzyyxxzzzzzxzyzyyzyxyxzxxyxzxyxxxyzyzzxxzxyxyzxyxyxzzyyxxxzzxyzzzzxzyxyxyxxyxzzxxzyyyxxyzyxxyzzzzxyyxyyyyyzzzxyzzxzyxyyxzzxzzxyxxxyzyyzzzxyxyxxyzzyyyyzyzzxxzzyxxyzxzzzyyyxzzzxxxzxxxyxyxxxzxyyzyxxxyzxxzxyyzzxyxyxxxzyxxyyzxyzyxzxxxyxxyyyzzzyyyxzyxxyxyxyxxxyzxyxyxzxzxxyxzxxzyxyxzxyyxzxzzxxxyzyxyxyyxxyyyyxyxxxxyzzxzyyzyzzxzyxxzyzzyxxxyzzxyxxzzyzzxxzyzzxzxzxyyxyzyzyyzyzxyyxyyyzzxzzyxyxxzxyxxzxxxzyxyzxzxzxzyzxzyyxzyxzyzzyyzyxzxyzxxzyxyyyxzxxyxxyzzxyyyxzzyxyyzyzzxxzyzyxyzxzyyzzzzzzyxyyxyxzxxxzyyyzyxxyyyyzyyyxxzxzxyxyxzxzzyzzxyxxyzxyxxxyzxxxyxyyyyxzzyxxzxyyyxyyyxxzxzyzxzzyxxzyyyxyxyyyyxzzzyzxyyzxxzyzzzxzyzzxyzzzzxyzyzxzzyzzzyxyxxyzxzxxyzzzyzzyyyxzyzxyyxzzzxzzxzzzyyzxzxyxzzzzzyzzyyxzzzxzxzxxyzxxxzzxxyxxyyxzxzyxxxyxzyxyzyxzxzyyxyzyxzxxyyzzyzxxzzyzxzxxzxyyxzzxxyzxxzxyzxzyxzzzxzxyxyzxxzzxyxxyyxxzzyxyzxxzyzxzyxzzzzyxzxzyxyzyzzzxxyyzyyzzxxyzyyxzxxxxxyyxxxxyzxxyzxxxyyzzxxzxzzyxxzzyyzxzzxyzzzyxxzxxyxyyzxzyxzzzyzxyyxyxxyxzxyzzyyzzzxyzyxyzyxyxxzxzyyzzyyyyyyxxyxyyyxxxzyzyzyyyzyxyzxzyxzzzxyzyyyyzyxxxzxyyyxyyzxyzxyzyyyxxyyyzzzzxxxzzxzzxzyyyzxyzyxzzzyyyyyzyyyxyyxyyxzxxxxyyxyyzxzzzxxxyxyyzyyxyxzyyyyyyyzxxxzxzxxyyyxzxxyxzzzyxxyyzxyzzyzyzxyyxyxyyxzxxxxzyyxyyxyzxyyzzxzyxyxyzxzxyxzxzyzyxyyzyyxxxzzxyxxyzyyyxxzxzzyyyxyyxyyyxzxxxzyzyzzzxxyxyyyzzxyzxzyyyzzyyxxxyxxzzxzxxyyyzxxxyyyxzxxxyxyzxyzyxzyxyzyzxzyyzzyyyxzzyxyzxxxzxxxzxxyzxyxxzyyxxxxxxyyxyzyzyzxzzzxxyzyxyyzzyyxyzzzyyxyxzxzxyyyyyzxyxxxyyzxxyyyxxzxzxxyxzzzzzxyzyyyzxyxyyxxzxzzyyzyyzxzyyxyyxxzyyxxxzzyzxyxxzxzxxzxzxzyzyyzxyyyzyxzyxzxxyxyzxxxzxzxzyxyxyyxzzzzxzxxzxzyyxzyyyyyxxzzyxyyyxzzyzyzxzzyzyyxxxyxxxxxzxzyzyxzzyxzxxxyxyzyyzxyzzyxxxxxxyyxxyzzyxxzyxxzzyxzzxzyyyzxzxxxzyxxxxyyxzzzyyzxzxzyyzyxxzyxzxxxxyxyyyyzyxyxyzzzxxxyxxxzxyxzzyxzxxzxyzzzxyyxyzxxzxxxyzyyxyzzxyzxxxzyxxyzzyzxxxzxyyxxzzyxyzxyyxxxyxxzxyzxxyyxxzxyxxzxxxzxxyzzyyzyzzzxxzxzzxxyyzzxyzxzxzzzxzxxyyyyyyxzyxzzzzxyyzyzzzxyyzzzzxyxzxxzxxzxzxyxxzzxzzzzyxxxyyxyxzxzxzxyzxzzxxxzyyxxyxyzxyxzyzzzyzzyzzzyyxyxzzyzzxzxyxyzzyyzzxzyzyxzyzxzzzzyxyyyyxyzzxxxyxxzyyxyyzzxzzyyyxyyyyyzxxxyzyxyxyxyzzxyyyzzxyxxxzyzzzzyzxxyyzxxxzyxzyyzzzxyxxyxxxyzzzxxxyxxyxyxzxzxyzyxxzzzyzyzyzyzyxxzyzxyyzzzxzzyzyxzyxyxyzyyxxxzyzxzxzxzyzzzyzzyxzyyxyyyyxzxyzxyyxxzyzzyzzyxyyxyyyzxyyxxyyyxyzxxxyyyyzyxzyxyxxxxxyxxzyxyyyzzxxyxzyzxzzzyxxxzzyzyyxxxzxyzyyzzzyyxyzzxyzxyyyzyxyzxyyzzyzzyzyzxxxyzxxyxzzyzyyzyxxzxyxyzxzzzyxyyxzxyyzzyxzyxxyzxzzzzxzxxyxxxxyxzzyzzyzxzxyxyzyyxxxxyzxzzzxyyxzyzxyzzzxyzxyzxzxzzxyyzxyzzyzyyxyxzyzyyyzyyzxyyxyxxzxyzzxzxyxxyzyyxyyyyyxxyzzyzxxzyyzxxyzxzxzzyyyyyzzzxxyxzyxzyzxzxzyxzzxzxzyzxzyxyzxxxzzxxxzzzxyyxzyxzxyyxzxxyxxxyxyxxzzyyzyzzxyzyyyxzzyxxyxzzzyyyxzxxzxyzxyzyxxyzzyzzyzxzyyyxxzxzxyxxxzxxxxxxzyzxxzyxzyxzyzzxzzyxyyxxzyyyyyxyyzzxzyyyzyxyxxyyzyzzzzxyxzyzxyyyyxzzyxyxxxzyzzxyzzxxyxxyxzxxyyxxyzyzyxyyyyzxzyzzxyxzyxzyxxyyzyyyxxzyzyzzzyxyzzyzzyzxzzzyyyyzzzzyyyxzzzxxyzyyzzzzzyzyxyyzyxyxyxyzxxyyxyyyyxzzzyzyyxyxyyyzzzxyyyzyxzzzzyyxzzzyzzxzzxxxxyzxyzzxzyxzzxxxyyyxyyxzyxxzyzxxxxzyyzxxxxzyyyxxyxyzzxzzxyyyxzzxyyxzxyzzzxxzzzzxxyzyyxyzxyyyzyyzzxyxxyyzyxyxzxyyzzxyzxyzyzzzyyxyzyxxyxxxzxxxzxzzzyyyzzzzzxyyzyxyyxyxxyzxzzzyyxzyyyzyxyxxyzyzyzzyyxzxzzxzxzzyxxxxyyzxxzyxzzzyxxyxyzzxzyzzzyxzzzyzzzyyzyyyzxzyxzyzyyzzxzyyxxxxyzyzxzyyzzyyzyxzyyyyyzxyyyyzyzxyzxxyzzyzzxyxyxxzxyxyyzxxxzzzyzyzxxzxzyyzyyxyyxyzyzxxzzyyyxzxzzxzzxzzyyxxyyxyzzyyyzzzzxzxyxxzyxyyzyxzyxxxxzzxyzyxzxxxxzxxyxzyxyxxyyzxxyxyxzyyyzxyxxzzxyzxxzyxzzxxzxzxzyyzyxyxyxzyzzzzyxxzyyzzyyzyzyyxzyyxxyyyzzzxyyxxzzzzzyxzyzzyxyyxyzyzyxxyzyzyyzzxzyzzxxzxxxyzzyyxxxyyyzxxzyzyxzzyxxzzyzxzyxxxzyxzyzyyxxxxyzzzxyyxyzxyxzyzzzyxzyxzzzyyzxzxxzzzzyzxzyzxyzyyzxzxyxxyxzyyzzxxzxyyzxyyzxzyyxxzzzxyzyxzyyzzxzyzxyxzzzzxyyzxzyxxzxxyzyzyzxyyzzzxyzyyyzyyxzzyzyyyxxyyzyyzxzyyzyxzyxyyyzxzyxyyzyxyzxzyyyyyzxyxyyxxyyxyyxzzxzzzzzzyyzyzzzzyzyyxyzyyzxxxxyxyxzyxyxyxzyzyyzzxzyzxzxzyyzyyyxyzzxzxzyzyyzzyzxxzxxyxxzyyyzyyzyxzxzxxxyxyzzxyzxzzyxxzyzzzzyzzyyzyyzxyzyyzyzyzxzyyyyxzxxyyxyyyxxxxxxxxyzxyxyxxzzzyyzzzxxyyxyxyxxxxyzzzyzyxzzxzxxyxzxxxyxxzzxzzzxyzzzyzyyyxyyzzyzzyzyyyzzzxzyxxxyzyzzzxzxxyyyzyyxyxxzyzzxyyzzxxzxzzxxzyzyzzyxyzxyxxxzxxzxzyzyzxyzzyyzzzyxzxyyxyxxyxyyyyyyyxzyxzzxyyxxyyxzyyyyxzxzzyyyyxxxyxyxyzxxzxxyzxxyxxzzyzyzyzxyyzyzxyxyyyyyzzxyxxzyyxxzyyxxxzzxyxzxzzzyzyzzyyxxxxyyxzxyxyxxzxzxyzzyyxzyxxzxxyzyyyxyzzzzzzyyxzxzzzxzxxxxyzyxyzyzzzzyxyzzxxxxxyyxzyxxzxzxyyyzzxzyzzzyzyzzyzxxxzzxyzyzyzzzzxyzzyyyyyxzzzzzyzxzyzzzzzyzyyzzxxzyxzxzzzzxzxxzyyyyyxxzzxzyzxzzyzxxzzyzzzxyyyyxyzzyyyyyzxyxzxyyzzzyxzxzxzyyzyzyyyyzxxzzxzxyxxzzxxyyzyzyzzxxzyyzyzzyxxzyyyzyyzzyzxzyyyyyyxxyzxzzyxxyxzxxxxyyxyyzyxyyxxzxzyzyxyxzxxyxzzzxyxyzzzyzxzxyzzyxyxzyxzyzyyzzzzyzyyxyxxxxxyzzxyzzyyyzzyxxyxzzzzxxzxzxxyyyxzzyyyyzyxzyzyyyxzzxzzxzxxxzxxxzzxzzzxyxzzyxxzyxzzxzyzxxzxzzyzyxxxyzzxzyzyzyxxxyzzyxzyzzzyzzxyyyzyxyxzzzyxyyzxxyyyxxzyxxxzzyxxxzzxxxzyxzxzzyyxzyzzyxzzzyzxxyyzxyyyxyxxxxyzyyxxxxzzyzyxzyxyyzzyxzyzyzxyzyxyyzyxzyxxyzyyxyxxyxxzxyxyyzxzzzxyyxxyxyxzyzzyzxzyxxzyxzxyyzxxyyzyxzxzyzzxyyzxxzxyxxxzyxzzyzyxzzxzyxxyyxxzzzyzyyyyyxzxxzyxyzxyxxzxyxxyxzzyxzyyyyzxxyxyzyxzxxxxyyyxxxxxyyyyyyzzyyzxzyzzzxzxzzzzxxzyzzzxxyxzxzxyyzxyzyyxzxzzyxxxyyxxxxyxzzzzxyxxyzyxxzxyzzzxxxxxzzzxxzyyxxzzxxyxyyxzzxyxyyxyxzyxxzyxyzxxyxyzzzzxzzyyzyzxzxyyzxxyyzyzyxyzyxzyxzzyyyyxzzxzzxyyxxzxxxyxxxyxxzzyyzxyxzxxyzyzyxzzyzzzyyzyxzyzyzyxzxyzzxxyxzyzyyzzyxxzzyyyyzxyzxyyxzxxyyzxzyxyxyxxxxzyyyzyzxzyzyxzyzzzzxxyyxzxyxzyyxxzzyzxxxzxyxxxzyxyxyxyzzzxyzyxxyxzxyyyyxzyxzzzxxzzzyzyxzxzxzyzxxxyxyzxyyyyzyzxxzzzxzxyzyyyxxxyyyxxzzxyzzyyxxxyzzzyzyxzyyzxxyxzxxzxzxxyxyzzzzzzzxzzzyxyzzyzyyzzxyyzxzxzyyxzyxxxzzxzxzyzyxyxyyzzyzzyzxxxyyxzzyxzzyyzzzyxyyxxzxyxyyyyzyyzzxzxyyyzxxyzzzyzyyzzzxyyxxxyyxxzxxyyzxyyxzyxxzxzyyzxyyyyxyyxyyyyyxzyzyzyxzxzzxyxxyyxzxyzzzyxyzzzyzxzzxxzxyxzzzxzxzxzxxzzxzyzxzyyxyxzxyzyxzyzyyyyyzxxxyxzxzyyyyyyzyyzxzyxzzyzxzyxyxzzxzyxyxzzxyxzxyzyyzzzzxzxzyxxzzyyyzxxxxzyyxzyzxzzzxyzxyyyyzxxxyyyxyyyxxxyxxzzyxyxxzxxyxyyzxzyzxxzyxyyzxzxzzzyzyxyxxzxzyyyzzyxzxyxzzzxzxxyxyyyzzyyzzzyyyxxzxzxzzxzzzzyxzxxyzzxyyxyyzxzzzxyzyyyzzzxxxxzzxzyyzyxyxyzzyzyzzyyyzzyzyzzzyxyyzxyyxxxxyyyzyzzyyzxxxyyxzxxzyyzzyyxyxyyxzyzxyyxxyzyzzxyyyxyxyzxxzxzxzzyyyxyyxyyzzxyxyyyxyxxyyxxxzyyyyyzzyyxzxxyzxyxxyyyzyxxyzyyxxyyzzyzxxyyyzyyxyyzyzyzzzzzyzxyxyzyyyzyyyzyyzzyyyzyzzxxzzyyzxzzxxzxzyxxyxxxyyzxyxyxxyyzzzzzyyyxxzzyxxzzxxyxyyzyxyyxyyzzzzzyzxxyyxxxyyzzyyyyyzzyyxxzyyxyxyzyxxxzzyzyxxxzxzxxxyzxzxyzyzzyxxzyxzyyzxyxxxzxzzxzyzxxzxzyyyyxxyyxxyzyxzxyzzyxxyxzyxzyxxyxxyyyxxyzzxyxxzyxxyxxxyyzzzyyxyyzyyxzxxyxzxyxzxxyzxyxyzzyxxzxzyxyxzzzzzyzxxzzyzzxyzzyyzyxxyyyyyyzxxyyyyzyxyyxyyyyzzzxzxyyyyzzzzyyyzxyxyyyxzxyyyxxxxyyyzxzyzyxzyzyxxxxzyxyzyzzyyyxzxxyxzxxxzzxzyxzyxxxyxxyzxyxyzzyyyyzyyxzxyyyzzyzzzyzzxyyzyxzxxzxyyyxzyyxyxxyzzzxxzyzxyxzyzyyxxxxyxxzzxzyxxyyyzzyxzxyxyxyxxzyxyxxxyxxzzxxyxyxxyyyzyxxxxxyyxzyxzxzzyzzyyxzzyyxxzyyyzyzyzyxzxxyyyyyyxyzzxyyzyxxxyyyzzyzxzxxyzyxxyyzxxyyxzzzxzyyyxxyzyyxzzyxxzyxxzxzxyyzyzzyyyzyzyzxzzzxxyzyyyzxxxyyyyyxxzyyxzxzzyyyxxyzyxxxxyyxyyyyyxxzyzzyyzxyxzzyyyyxyyyyyxyxyxzzxxyzyyyzzzxyzyyyyzxzzzzyzzzyyyyyxyzyzxyxyzzxyyzyxzzyzzyyzxyzzyyxyxyyyyzyzyzzyzyzxyxzzzxyxzzyyxzyzzzxyyzyxzyzxyxxzzzxyzzxyyyxxzxzzyxzyzzyyxyzxzyyyxzyxxzyyyzxxyxyzyzzxyxyxzyzxzzyxzxzxxxzxzyzxyyyzzxyzyzzzyzzyxzyxyxyxxyyyxxxyzxyzzxxyxyzxyyyzzzzzxxyyzyyxzxyxxxyyyyzzxyxyyzyxyxxxzzyxzxyxxxxyyyzzzyyzzxzzzyzzxxyxxxyyyzzxxyxyyxxyyyzzzzzzxyzyyzyyxzxyyzyzxyyzxyyyyxzxxyyzzzzyzyzyyxyxzxyxyzyyyxxyxyzxzzzxyzzzzzzyxyxxzxzxxzyxxyxzzxzzzxzxzyxxyyzzzyzyxzzzxyxzyzzxzzxxxyxzyyxyyxyzzxxxzxxyxyyzxyxxzzzzyzyzxyzzyyyxxyzzxyyxyzyzxzzzzyxzyxzzyzxzzzzyzxxxxxzyzyxyxxxyzyxxyzzxyyyyyyxxzxyxxyzyzzzyyzyxyxzyxzyxyyxyzyyyxyxxxzzyzzyyxyzxyzxzyxzyxyzyyzzxzzzxzyyyyyyyyyyyzzyxyxzyyzzxxxyyxyyxzxyyyyyyxzzzyyxyxxxzzzxyxzxzzzyzzyxxyxxxyyxxyzyyxxxyzxyxxzzzzxxyzxzyyxyyyzzzxxxzxzzzyxzyzzzzyzyyyzyyyxzxyzzxxxzxyzyxxzzyzzxzxxzzxxxzyzzxzxxzzyyxzxzxzyzxzzxxzzxyyxzxyzzxxxxyyxyzzxxxzyyyzyyxzzxzzyzyyyyzzzyzyzyxzyyzyzyzyyzyyxxzzzyxzyzyzzxzxyzzxyzzxxyxzyyxxxzxzxzxyyyzzzxzzzyxyzxxyxzyxzzxyzzxxzxzzxzxxzyyyxxyxyxxzyxxzxxzzyyxzzyzxxzzxzyyzzxyzyyyyxzzzzyyxzxzxyyyzzxzxxyzyzxzzxzxyxyxxxzzxyyxyyxyzyxyzyyyxzxxyyyzyxzzxzxzxzyzzzxyxzzxyxzzzzyzxzzzyzzyxyxxyzxxzzyxxxxzyyxxyzxyzxyxyzyyxzyyzxxzxyyzyxzxyyyxyxzyzzzzxxyyzxxxzzyyxxxyzyzzxxxyzyxyzyzyyxyxzyzzxxyxzxxyxxzxyxyxxzxxyxyyyzzzzxyxzxxxyzxxxxyzxzxxxyyxzxzyxxxzyxzxxzzyyyyxxxyyxyzyyxxxzyzzyxxyyxxyyyxzzzyxzyxyzyyyzxxyyzxzxyxyyyzyzyyzzyyzxzyzyyyxyyxxzxzyxxxzxxyxyxzzzzyyyyzxyzyyzzzyyzyxxxxxzzyyzyxxxzxzxyyyyxzxzyzzxyxzyzyxxxxxzxyzxxxzyyzyxzxzxxxyxzzyzxzzxxzzxyzxzyyxxyzxxzxxyxxzzxxzzyxzzzyxyxyyzyyxzxyxyyxzxyzyzxzyzyzzzxzyyxyyzxyxxxyzzyxzyzyxxyxxzyyxxxzzyzxyxzzzyxyyxyyzyyxyxxyxyzyxxxzxzyxxzxxzxzxyxxyzyzzxzxzzxxyzzxyxzzxyyzxyzzyxzzyxxzzxyxxxzyzxzzxzxxyxxzyzyxxyyzyyyyyyyyyxyyzxyyyxzxxzyyyyxzzzzzyxyxxzxzyxyyzxzzzyzzzzyxxxxyxyxzyxyzyxxyxxxyyxyzzxyzzzyzyxxyxzxzzzxzxyyxzzyzzzzxxxyzyxzzyxxyzxxyzyyyzzzzzzxyzxyyyzzzzyxyxzxyyxxyzzyyyxxyzyyyxyyyzzxxxxyzyzxxzxyzyyxxxxxyzxyyzyyzxyxxyyxxzzyzxzyzxyxyzzyyxzxxzxyyxzyxyxxxxyzyxzxxzyyzxzzxzxyxyxxzzyzxxyzyzyyzxzzzxxzyxxxyxyyxyyzzzyyzxzzzyzzyzxxzxyzyzxyyxzxxzxxyxxyyxxzzzxxxxzyyxyzyyzyzxyyyxxxxxyxyyyyxyxzyzyzxyxxzyxyxyzyyxzyxyyzzxyyxxyxzyyyyyxxxzyyxyzxzxzyyxxyyxyzyzzzxzzzxxxzyxxxyxyxzyzzyzxyzyyzyyyyzxzzzzyyzxyxzzxxzxxzzxzxzxyzyzyxxzzxzzxyxxyyzyzzzzzzzyxxxxyxzyyzzyzxzzyzxyzxxyxzzxxzyxyzyxyzxzxzxyxzxyxyxyzyzxxzyxxyyyxzyyyyzzxyyzyxzzzxzxyxxyxxzzzyzyxyyyxxxzyyxyzxyyzyyzyxyzzzxxyyzyxxyxxyxxzxxyzxyyyzzzzxxyxzzyxzzxzzxxyxxxyzyzxxzzzzzzzxzxxzzxxzyxyzzyyxxzzyzzyyxyxxyyxyzxzzyyxxyyxzxzxxzzxxyyxxxyyzxxyxxzxzxzxyxyyyxyxyxxyxxzxzxzxxxzyzyxyzyzxzzxxzzxxxxzzyzzyxyyzyyyyzyyyyyyxxzyxzxxyzzzzyyxzzxzyyzzyyxzxyyxyzxxzyyzzyzzzxzyzxxyxxzxyxyyxyyzyzzyxxxzzzxyxxxyyxyyxxxyxxxyxxyzyxyzzxzxyyxxxxyxxzzyzxyzxxzxxzzyzxxzxyxxxzzzxyzyxxzyyxzyzyxyzxzxzxzzyzzxzyxyyzxzxzzxyzyzyzyyzyzzxzxyxxxzzxxzzxxyzzzyxyyyzxxxzxxzzxzxyyyyzzxzyyxzxyzxxxyxyxzzyyxzxzyyxzxzzxyxzyxxzxzyxzzyzxyyyxzzxzxzzyyzzyzyyxyxyyxxyxzzzzxxzzxzxxzxyzxzxzzzxzxzxyxzzzzzyxzxzyxyyyyyzxxzzyxxxyyyxxxzzyxxyyxzyxzxzzzzyyyzzzzzzyxyyzzyyxxzyzyzxzyxyxyxzxzzxyzxyzzzyyyzyzyzxxzxzyyyzzzyxxxyzyxzxzyxyzzxyzxxyxxyyzyzxzxyyzzxxzzyyzxxzyyyzyxzyxxzzzyxyzxyzzxyzzyzzyyxzxyxyyxyzxxxyxyyzxxzzxyxzxxxzxyyzyxxyzxxzxxyzyyyxzzzxyxzyyzzyyzyzyzyzyzzyzyyxxyyyyxxxxyxyzzxzyyxxyxxzzzxzzxzxzzxyyzzyxyzzyzxxyxxzxzxxzyyzzxxxxyxxxyzxzxxzzyxxyzyyzxxzxyxzxyzzxzzyxzyyyzzxzyyxxxxzyxyzzxyxzxxyxyxxxzxxzzzyyyyxxyyzzzzxxyzyyxxzzxxzxxxyzyzxyxyxyyzxxxyyxzyxyzxxxyxxzzzxxxyyxxzyxzxzyyyzzxzxxxyyyyyyzzzzyyyyxxxzyyxxyxzyyyyyzyxxzzzxzxyyxyxxxzyzzxzzyzzyzxxzzzzxxyxzyxyyzxxzxzyzyzyzzyyxyzyxxxxyxzyxyzyzxxzxzzzyyxzyyxzzxyyzzzzyyxyyyxyxzzyxyyyzxxyyzzxyyzxzzzzxxxyyyzzyyxzzxzyyxzyzyyxzzyyyxyyxzzyzxxxzxxxxzyxzxzzyyzyyyxzzzzzyxzzzxzxzyyxxxzzyxyyyxxxxzyzxyzzxxyzyyyyxxxzxyxxyzxyyxzxyxxyyzzyzxzxxzxxyyyxzyyxzyyzyzzyzxyzxyyxzzxxxxxzzyzzzxxzzzyyyzxzzxyzzzyyxyyzzzzzxyxzxzzyxyzyxzyzzxxyxyzzxxyyyzyzzzzzyxyxyyyyyyzzyyxxzzxzzyzyyzzzzxzzyyxxzyzxzzzxyzxzyyyyyzxxxxyxyyzzxxyyxxzxyyyyzzzxzyyzxyzxzyzxzyzyyzxzyzxzyyzzyyyzyyyxyyxxxxyzxzzyzyyyzxzzzzxxxzzxzxzyyxzyzxyxyxxzxyzxyyzyzxyzyzyyxyzxxyyyyyxzyzzyyxyxxyyxxzzzzyxxzyyzyxzzyzyzyxxxyzzyyzzxzxyzzzxxxyzxyzxxyxzxxxxxzyyzyxxzyxxyxxyzzxxxyzxyzyxxxyxxxyzzxxyyyzzxxxzxxzxzyxyxxyxzxyzzxxyyzxyyyyyyyzzxyzyyzyxyyxyyxzxyyzxxyzxzyyxzzxxzyzzzxzyzyyxxzyyyxyzyxzyyyzyzzxxyxxyxzxyxyzyzyzxzzxyxxzxxxxxyzyyzxxyyzzyyyxyzyxxyyzyyxzxxxyzxzzyyzzyxzyxxxxzxxyyxyxyxyyzyyzxxxxxxzyyyyzyxxxzzzxyyyyxzyzzyyxzxzxxxxzzyzxyxxxyxzyzxxyyzyzxyxyyyxyzxzxxxxzyxxxzxzzyzzzyyzzyxzxxzyzxzzzyxzxzxyzyxzyyzxzxyyyyzxyyyxzyzzzxzxyxzzzyzzyyxyyyyxzzxzxxyxyxyzyxxxyzxzxyyzxzyxxyxzxyyxyyyyyxxzzzxxyxxxxzyzzzzzxzyzxxzyyzyxzxzyyyxzxxxyyxzzyyxxxzzzxyzyxzzyxzyyxzxzzxzxzzyzyyzxzyxzyyzyxzyxxzyxzyxzxxxzzyyzzxyyxzxzzyxzzyxyzzyxzxzzzyxzzxxxyxyyxzzyzzxxxzzxzxzzxxxzyxyyyyyyxyxzxzzyyxyxxyzyyxxxyxzxxxxzyxyzxxzyzzyyzzxxyyyyyyyzxyzxxzyzzzyxyyyyzzzyzyxyyxzyzyzyxzzyyyzyyyzzzzzyzyxyyzzyxxzxzyzxzxyzxyxyxyzzxyyyxzyzyyzzyxyyzyyxzxxxyxxyxyxyzzxxzyzxyxyxzyyzxyyyyzyzzzyzyyyyzxxxxxzxzxzyzxzxzxyzyxzzxzyyxzxxzxyxzxxzyyxyyyxxzxxzxzzxyxxyyxzzzxzyxyyyxyzzzzyzxxxyyyzzzxyxyyzxxxyyzyyzxzxzxxxxzyyyyxxxyyyxzzxzyyzzyzxyxzyyzxzyyxyyyxxyyyzzxzzxxzzxyzyzxzyyzzzxyyxxzyzxxzyzyxyyyyxzyxxzyxzzyxxyzyyzzxxxxzxxzyxzzzxzxxzzyyyzzzzyyzyzyxzxzxyxyzzzxzyzxxyxyyyzxzzxyzxyyyyxzxzzzyxxzyyzzxxyzzyxxzxxyzyxxzxyzxxxzxzyxyyzyyxyyzyyzzyzzxyzxxzzyzxxzyyzyxzyxyyxxyyxxzxyzzyyxyxyzzzxzyxzzxxxzxxzyxxxxzxyxxxzzyxzxzzxzxzxyzyxxyxxyxzzzxxyxyzxxzyxyzyzxzzyzyzxyxxyyyzxyzzzzzyyyyyxxyzxzzzxyxzxzyzxxyzyyyzyyyzyzzzxzxyzxxyyyyxxzxzxzxxzzyxyzyyxxzxxzzzxzzxxzyxyzyzyxyyxxzzzyyyzxxzzyxzxyzzxyzzzxzxxzzyzzyzzxyzxyzxyzxzxyxzzyyyyxzyxzxyxyxyzyzxyzyyyyzxxxzzyzzzzzyxyyyyxyzyxzyzyxxzxxyyxyzzzyxxyyzxzzyxzxyxzyzzyxzzyzyyyyyyxxzyxxzzyyxzzzzzyyyxzxzzzyxyxyzyyxyxxxyyxxzyyxzxzzzzzxyzyyxxyyxzyyyxxzzyxzxxzyxzzyxxxyxxyxzzyxzyxyzzyyyxxyzzzyzxzyxxyyzxyyxxyyxzzzxzzxzzxzzxxyyzzzxzzzyzxxzxzyyyxxzxyzxzxxzxyzyxzzyyxyxzxxyxzzyzyyzxyxyyzxyyzxzxzxyzzzyyzyxxzyyxyzyzxyyyzyzzzyyzzyyxyzzyyzyyyyyzyzzzxzxxyzzzyzzyxyxyzzzyxxxyyyzyzyzxyxxxxzzyxzxzxzyzyzzzzyxxzxxzxzyxyzxxxxzyxyzzxzxzxyzyzzzyxyzyzxxxzzzxyzxyxyzzyyxzxxzzyyxzxzxzxzyxxxxxyxzzxyxyxyyyyxyyyzzzxxyyzzxxyzyxxyyxyzyxzxyxxxxzzyyzxyyzyxyxxyzxxzzzxyzzzxzzzyzxzzzyyyzxxzyzzyxxxyzyzxyyxxxxxxxxxxxxxxyxyzyzxyyyzxzyxxzyxxzxxyxzzyxxyyyzzxyzxzzxyxzxxyxzyzyyxzxzxxxzzxxyzzzzzzyxyyxzzyxyyxyyxzyzyyzxyyyzxzzxyyyzxzxxzyyzyzxyzxxxxyxyxxxyxzxyyyzxzxyzzzzyyyxzzyzzzxyzzxzzxxxzzzyxxzxyzzyxzxxxyzzyzxxyxxxyyyyyyyxzyyyxxzzxxyxzzxxyyxyxzzxxyyzyzzxzyxyzxxxxyzzxyyxxzzyxyzzxzzyxxyyxzzzzxyzxyzxyxyzxxyyzyzyxzxyxxxzyzzyzxzxxyxyxyxxxzzzzyxzyzzyzzyyzzyxzzxxxyxxzxxxxzzyxzxxyzzzyzyyxyyyyxxyxzyxyzyxzxyyyzzzxyxxyxyzzyxzzxzzxzzxxyzzyxxzzyzzxxyzzxxyxxxzzzxzzxxyzxzyyzzxxxxyxxzxzyyyxzyzzxzzzzyxxxyzxyyxxyyzzyyyyyxyzxxzyyxyyyxzzxyzxzyzyzxyzxxzxxzyxxzzzyyxzxxzyyyyyzxxxyxzyyxyyxyzxyxzyzzzyyyzzzyyxyzzyxyzzxyxzzyxyxzyyzzyzyxyyyzxyzxyzzzyyyyxzyzxxxxzyyzyyxyzyxyxzzyzxzzyxyyzyxxyyyxxzxzxzyxzyyxzzyzzzxxyxxxxzyzyzyyzzzzxzyyyxzxxzyyyyzxxxyyzxxzxxxxzyyxxyzzzxxzxzzzxxxzzyyyxxxzzzzxxzyzzyyxzxzzzyzzzzyzxzyxxyzxzxxzyyzyxyzzyxzyyyzzyzzzyxyxzxyyxyxzzzxxxzzxyyxyzzyzzxyyxyxxxyyxzzxzzxzyxyyyzxxzyyxyxzzxyzzyyzyzyyyyzxxzyyzxzzyzxxzzxxxzyzzxyxxxxyzyxyyzxxxzzyyyxzyxxxzyzxzxyyyyzzzxyzxyzxxxxyxyyxxyxxyyyzzxyyxxxzyyzzxxyzzzyxzyyzyxzzzyyzyyxyxxzzzyyyyxxyzyzzxzzxzyzzzxyxyzzxyyyzxxzxyxzzyzzyxyyyzyyzyxyzxzyxyyxyzxyyyzzyzzxxzxxzyxyyxyzxxxyxyzxzzzxzzyxyzyxzxzzzxzxzxzxxzzyxzzxzyxzyzyyyxyzyzyzzzxzyyxyyzxzzxyxzyzyyzyzxzzzzyyzxyyyzyxzxxxyzzzxzyyzxyzzxxyyzxzzzxzyyyxxyxxzyyzzzzzxxyxxxzzxxzxyyzxxxyzyzzzzxyzyyyzzxyyyyzxyyxzxyxzzxxzxzzyzzyxyyzzyxzxxyxzxyxyzxxzyzyyxxxyzxyzzyxzxxxxxzxzzyyzxzxxyzyxxxyzyzzzxxxyxxzyyzzyyzxzxzyyxyyxxxyzzxxzyzzxyzzzyxxxzzyyyyzxxxzyxzyzyyxxxzyxzxyxyzyzzzzxyxyzzxxxxzzxzyyyxyxyxxzxyyyzyxxyzxxxzxzzzyzzyxzyxxyzzxzzyzyxyzzzzxxzzzyyxyyxxxyxyyxyzzzyxzyyzzzyzzzzyzzyyxyzxzzzzzyyzyyyzxyxxzzxzxzyxxyyyxzxyyyyyxxzxyxxyyxxzzyzzxzyzxyxxyxxzxyzzyzzzxxzxyxyyxzzzzzxyxxzzxzxzyyzxxyzyzzxyxzyyzzyzzyxyxzzyyyyzzxyyyxxxxxxyxyxxzzzyzyxzxzzzxxyzxzxyzyzxzzxxzyzyzzxxyzxzyxxxxyzzyzyzxzyyyyxxzyyxzxxyxxxyyzyxxxyyyyyzzzyxxxzxyyzzyzzxzxxyyxxyxyyyxxyyxxzzzxzyzyyyyzzzxzzyxzyzyxzxxxzxxzxyyzzzzzzyxxxzzxxzyyyzzxyyxxzxyyyxyxzzyzyzzzxxyzyyyxyzzzyyzxzyzxxxyzzyyyyzyyzxyyyxxzzxzzzxxzzyyyzzzyzxzxxyxxxyzxyxyxxxzyxxzxzyyyyxyzyxzyzxzyyyzxyxzzzyzyxyxyxyxxxzyyyyxzxyyzzxxxxzyzzxzzzxxyzyzyyzyyyzyyxzxxyzxxxxzxyzzzyzyzyxyxyzyxzyxyyzxzzzxxyyzzyxzxyxzyxzzyyxyzyyzyxyxxyxzyzzxxzyxzyyyxyzxyxzyzzzyzyxzzxzxzxxxxxzzzzxxzyyzxxyyxzyyxyzyyzxzxxzzyyyxzyzzzyzyyyzxzyxyzzyxzxzzxxxyxyyzxxyzxzyxxxzzzyzyyzzzxyxyyyxzyxzzxxzxzxzyzyzyzzxzzyyxxyyxxzyzzyyyxyzyxxxxxxxxxyzyyyzyzzyzzzxxzzzyxxyyzxzzzxxyyyzyyzyyyxxzzzyxxxyxzxzyyzyyyyzxxyyzxxzyzyzxxzxxxxzzxzxxyyyyyxyzxxzyzyzxxxyyxxyzzxyzyxyzzyzyzxzxzxxxyzyyyzyyxxyxzyzyyxyzxyxxzyyxxyyxxyzzxzxxzyyzzyzxzyzxzxzxyxzyzzzzyzxzxxzyzyxxzzxxyxzxyzzyzxzyyzyxzxxzzxyxyyxzzxzyzxzxzxzxyzzyxzxyzxxxxyyyxyyyxyyyyxzyzzyzzxyxyyxxzzyzxxxyxxzzzyzyyzzzyxxzzyxzyyzxzxyxyyyzxxzxxyxzzzxzxzzyyyyxzxxxxxyxxyzyzyyxyxxxzyxzyxzxzzxzzxyzyzyzxzzzyyzzyzzxzxyxyxyzzxzxzzzyzxzzxzxxzxxzyzyxxzxyxxxzyzzxxxyzzzzyxzzzyxxyyyzzyzxyzzyzyxxzyyyyzzzyzxzyxzxzzzxyzxzyxxzzyyxzyyzzyzzzzyzyyxyyyzxxyyyyzxzyyyyxzzyyyzzxyyxzxzyyxxyzyxzxyyxzzzzxyxyxxzzzxxzyyzzyyxxzyzxxyxzxyyxyzxxzzxxzxzyzzyyyxxyyzyyxzyzxxyxzzyxxzzyzxzxzxyzyzyzyxyyxzxxzxzyyzzyyzyzzzyyyyxyyzzyyyyxzxxyzxzxxzzxxxzzxyzyyzzyyzxxxyzzzzyyyxzzzxxyxyyzyyzxyzxxxyyyxzzyzxxxzzxyyzxxzyzxyyxyxxzxyzyyyzxxxxyxxzyxzzxyxxyxyzxzyxyzzyzzxxxxzxzxzxzxyzzyzzyyyyyxxzxzxxyxxyyzyzzzzzxyzzyyzzzzyyxxxzyxzyyzyxxxyzyzxyzyyzxyxzzyzyyxxyxxzyyyzyxzzzyyzzzyzzxzyyxxxxxxyzxyyzzyyyxxyzxyyyxxxxzyzyzxyzxzyxxzzxxyxxyxzzxyxzzxzzzyxxyzzxzxyyxyyyxxzyzzzzzyzxyzxyxzyyzyxyyxxxxzxxxyyzyxzyyxzxzyxyxxxyzyyyzzyxxzxxyyyxyyxyzxzxzyyyyxxyxxzzyxzzzyyyxyxzxyzyyxxzyxzzzxzxxyzyzxyyxxyzyxyzyxzyyxzxxxyyxyyyyxxzyyyyzxyxzxyzzzyyxyzyzxyxxyxxyzyyxxyzxxxxyyyzyyzxzzzyxzyzzzxyxyyyzyyyxyxyzyzxyzzyxyxzxyzzxzzzyzzxzxxyxzzzzyyzzzyzxzyxzyyxyzzzzxxyxyyxzxzxyxyyzxxyzyxyyyyzzzzyxyzyzxzzzxyzzzyzzzyyzyyyzzyzzzxzzxxzyyxzyzzzzzxyxyzyxxxxzyyzxzyyyxzzxxzxzzyxyxzxyxxyzzxxxxzyyxyxyyyxxyxxzzxxyxzyxxzxzzxzyyyyzxyyxyzyxxzyyzyyyyxxyxxyzyyxzyxxzyzzxxzyzxzzyzzxxyyyzxzyzyzxxzxxzzzyxzxyyyxyzxyyyzzyxzzxyxyzzyzxyzyyxyyxxyyzzyyxzxxxyxzzyzxzxyzxyyzxyyzxzyzzzxzxyxzyzyxxyzxzzyxxxzxzyzxyyxzyyzzxxzyxzxyzyzzxzyzyzxzzxzzyzyzyzzyyyxyzxyzzzxxxyyxxxzyxyxxxzzzxyzxxyxyzxxxxzxyxzyxxzzyzxyyxyxzzyyzxxxzzyzxxzxxxyxyzxyxyyyyxzyzyxyxyzxyzyxyxzxzzxxyzxyxxyzxzzzzzyzzzzyyzzyzxzzxzxzyzzxzxxzzzxxzyzxxyyyyyxzxyzzyzyxyzzxxzyzzyxyyyzyxzzzxzyyyxyzzzxyyxzyyyzzxzxzyzyyyxxzzxxzyyxxzyzxxxyyyyyzxxzyzzzzxzzxyyyyxyxxxzyyxxxyxxzyyxzyxzzyzxzxyxyyzyzxxxyyyxxzyzxyyxyxzyzyxyxyxzyzzyxzzyyzxzyxzxxyxzzxxxzyyxzxxzyxyxxzyxyxyxzyzxxzxxxxxxyyyzzxyxyyyxxzzyzzxzxzxxzxxzxyzxzzyyyyxyzyzzxyzxxzyyyxzzxyyyyyyxzxyxxxzxxzzyyzzyyzzyyyyzxxzzzyzyyyzxxxzxxxxxyzxxxyyzzzzyzyxxzxyxyzzyxxzyzxzyyxxyyxyyzxxxxxxyxyzyxzzyyyxzzxxyxzyzxyxzyxzxzxzzxxxxxzyzxxxxxzxxyxzxyxxyzxzzxxyzyzzyyxzzzyyyxxyxxzzyyxxyyxxxzyxxxxzzxyxzzxyyxyyyxxxyxzxzzzyyxzxyxxxzxxzxxzzyzxzzzyxxzyxyzzzyzzzzyxyxxxyzxyzxyzzyxxxzyxzxyzzyyyxyzyxyyyzzxyxxzyzzxyzzyyyzyxxzxyzzzxzyxxzyzzzxzxzxzyzyxxxxyzyxxzxxyyzzxxyyxyzyyzyxzyyyyzyxzyyxzxxyzxzxzyzxxxzxzzyxxyzyzxzzzxxzzyyyzzyxyyzxzzyyyyzzxzyxyyxyyzzyxyyxxyyyzxyxyyzzxzyyxzyxzyxxzxzxyxyxzzyzxzxxzzzxxyyxyzyxzxyyxzxzyzyzyxyzzyxxxyzzzxzxzxzyyzzyzxzyzzzzzyyxyxyyxxzyyyzyxyzyzyzxxyyyxyxzxzxxxxzzyxyxzxyxyxyyxzxyxyzxzyyyyxyxzxyxxzyxyyxzyyzzxzzyyzzyzxyyxyzyyxzyyxzyzzyxzyyyxxxyzzxzzzzyxzzzzyxzyyzxyzxzyxzzxyyzxzzyxzzxxxzzzyyyzzxzzzxyxxyzxyxyyyyyzzxxyxzxzzxyzzxyxxxyzxzyzyyyzzyzzzxxyxyxyxxxzyzxzzzzzxyyxxzxyxxxxyxxyzyzzxxzyyxzyyzxyxxzxzyyxyyzzyzyxyyyxxyyxxzxzxzyzyyxzxzxyzxyyzyzxzzzzyxxxxzxzyyzzzxxzzyyyyzxyyyyxyxxxyzxzzyzyzzyzxyyyyxxxyyxyzxyzxyyyxyyyyyxzxzzyzzyxxyxyxxzzzzyzyxyxxyzxxzyxyzzxxxyxzzyzzxzxxyyyyzzyyyzyyxxxzzzzyzzxzxyxyzzyxxzxxzzyyzyzxyxzxzyxxzxyyxxyzxzyyzyxyxxxzzxyyzzyxzyxyxzzxyzyyyyxzyyzxxyzxzyyzzyxzyxxyyyxyzyyxxyxzzzxxzyxyyzxyzzzyzxzzzxxzyyxxxzyyyxyxyyxyzyzyyzxzyxxyzyzzxxzyxyxzyzyzyyxyzyxzzyzzxzxxzzzxxyxxxzyzyzxyzzyyxyxyxxzzyyzyyyyyyxxyxxxxzzxxxxzyzxzyyxzzyyyyxxzzyyxxyyxxyxzxxzzxyzzzyzyxzzzxxzzyzyyxyzzzxyyxzyzzxxyyyxyxxzyxzzyzyzyzzxxzzyzzzyzyyzyzzyyxxyzxzyzzxxzxxxxxzyyyxxyyxyxxzxyyyyyyyxyyxyyzxyxyyxzyyzzzyyzxyxzzzzzxzzyxxyzyxzxyzxxxxyxyzzyzyyxyzyyxxxyxzxxxxxxzxyxxyzzyxyyyxxzxxzxzyzyyxzxyzxxyzyxyzyxyyyyzyxyxyxzxzyzxyxyxxzzxxyzxxxzzzyyxzzzyyyxxzzyyxxxzyzxyxxxxzzyyzzxxzzzxyyzxyxzzxzxzxxyzyyyzyzxyzzxyxzzxzzxxyzxzyzyzzyyxyyzzzxzzyyzxzyyxyzyxxyyyxyxzyyzxyzzyzxyzzzyzyzyxyxxyyyzxxxzyyxxzyxyxxyxxyzxyyzzyyyzzzxxzyxzzxxzyxxxxzyxzyyxxxzzxyxxxyxzzyyyyxxzxzzxzzzyyyzzzzzxxyzyxzyxyyzzyyzyyzxyyzzxxzxzzzyyxyxyyzzyzxzyyyyxxzxxyxzzyzzxzxzzxzzxzzxzxxxxyyzzzxzyzyzxyxyxzxyzzxxyxxyxxzyzxyzzxxxxxxzyzxzyzyxxzyyzyzyzyzxzxzzzzzxxyxzzzxzzyzzxyxxzxxxxzyyzyzyyzzyxxxzyzxxxzyxxzzxxxzzzxxzxyxzxzyzzxyxyzxyzyzxxyzyxxxzzyxyyzzxxzyzxzyzxxxxzyyxzxzyyyyyxyzzyxzzxzxxxxyxxxyzzyzzzyxxxzzyyzzyxzxyzzzxxxzyxzyzyxxzyzzyzyxzxxxyzxyxzxyzzyzzzxzxzyxxyyxyzxzzxzxxzxyxyxxyzxxyzzxzxyxxyxyyyxzxzzyxxxxyyyyxzzzzyxzyyxzxxzyxyzxxzzyxxyxxyyzyxyyyxzxyzxxyzyxzyyzzyzyyyzyzyzyzzzyyzzzyzyzxxyzxxyzxzyzyzyyzzzyyzzyzzzxzzxzzyxyyyyxxzxzyzxzyxxxyxyzyxzxzyxyyzyzzyxxxxzyyzxzzyyxyzyyyxyzzyyzxxyyzzzyyzzzzxzzyzxzyzxxxzyxzyyxyzxxzxyyzzzxxzxxyyzxzzzzzyxyxyzxzxzzxxzxxyxyzyzxxxzyyzyxxzxzyyxxyyxzzzxzyxzxyxyxxzzxxzxxyzyzxzxxxzxzzyzyyxxzxzzyxyzyzyxzxxzzxxzxyxzyxzxyyxyyzyxyyyyzxyzxyzyyxxxyxyxyyxyyzzyxxzzxyxxyyxyzxyyxyxyyxzyyxxyxzyzzxyzyyyyyxzyxzzxyxxyzyxxyxxzzxyyxzxzzxzyzxzxzxxzzxyzyxzxzzzyyxyzyyyzzxxzxyzzzyxxzzxyzyzxyyyyxyxxyyxyxyxxyzxxxyyyxxyxxyyzyyxxzyzxzyxzxyzyyxzxyzyyzzyyzyxyyxyxyzyyxxxxyzzxyzyxyyzzzxyyxzzyyzyzxyxyyzzzyxxxxyyzxyzzxxzxyyzzzyyyzxxxxxxzyzzzyxzxzxxzyxzyxyzyyzxyzxyyxxxyzxzyzyzxxxyxzxxzyxzxzzzzzzyxzyyyyyzxyxyyxzzzxxxyyzyyzxxxyzxxzzzzyyxyzyzyyyzzyxyzyyxxyxyxyxzxzzxxxyzzxzyzxxxyzxzzyyxxzyxxxyyyxzzzzyyxxxxzyyyzzzxzyxxyyyxyxyyxyxzzxyzzzxzzxyxzzyyyzxxxyyyzzxxxxzzxzzxxzzyxzxzyxxxzxyxxxzyxyxxzxyzyzzzxzzxzzyzyyzyxyzxyzyyzzxzzzzzzzyyyyyxyxyzyyyzzxzxzyzzzyzxzxzzyxzyzyyzyxxzzxyyyzxzxxzxxzxzyxzyxxxzyzyzyyzxxzyzyxxyyyzzyxzxxxxxzzxxxzyxxxzzxyzxyzyxyyzzxzyxxzxyyzzyzzzyzzxxxzyyzxxxyyzxyxyzzyzzzzxzyxxxzzzyzxzzyxzyyyzxyzyzxxxzyxxyyxxzyxxzxyzyzyxyzxzyyyxzzxzyzzyzyxyyyzxxyyyyzxxzxyyzxyyzxxyyyzzzzyzyxzxxxzyyzyxzyzzxzxzyzzxzzzzxxyyxxxyzzzzxxyyzxzxzzxzxxxyyxzyyzyxyxyzzyxyzxxzxxxyxyxzzyxzxyzyxzxzyyzyzyzxzyyyzyzyyxxzxzyxzxzxzzyzzzyxyzxyxzyyyyxzzxxyyyyxzxyyzxzyxxzzxyzyxxyyxzyyxyyyyyyyyxyzyzzzyyzyxxxxxxyyxxyyyyzxyzyzyzzyxxyyzyxzzyyzxyyyyxxzzyyzzzyyzyxzxzyyzzxyyyzzyzxzzxzzxxxxzxyzxzxxyyyxzyzzyxzyyxzyxxzzxxxyxxzyzyxxyxzyyxyyxxyzzzxxxyyzxzyyxzxzyyxxzzxyzyxyzxzyxzyxxyyzxzyzyzzxxyyzzyzxyyyzzxzzyxxyzxzxzzzxzzyzzyzxzyzzxxxxzzzyxzyyzzxzzxyxzxzyxzxzzzzzyxyzxyxzzyxzxyzyxxzyyzzzzzyxyzxzxyyzxxxyxyyzxzyzyxzyzyyyyxzyxxxzxzyxxzyxyxzzxyyxyzxyyyxzyxxzyxxyxxyzzxzxyzyyxyyzzzzzzzxyxzzzyyxyzyyyxzyxxxyxyxxxzzyxzzxxxzyxxzzyzzxxxzyxzyxxxyxxyxyzxxzxxyzxxzzzxyxzxxzxyxzzyyyxxyyyzxxxyxyxxyzyxxzzyzzxzxxzzyxzyxzxzyyzyzxxzxyzyxzyzyyxyzyxxzyzzzyyyzyzzxzxyxyyyyyyxxyzzzzyzyyzzyyzxzxyyxxyyzxyzyzzzxyzyxzxyyzzzxxxzyyxzxyzyxyzzxyxyxxxzzxxxyxyzxyyzyyzxxzxzxyzyzyxyyyyxxxyyxyxzzyyzxxyxyxzxzzxxxyzzxxyzxyxzxxzzyzzzyzzzyyxxzxzxxyyzxzzzxzyxyxzxxyxxyzyxyyxxyxxyyxxxzyyyxyzxyyzxzzyxzxxzzyzyzzyzxyzxyxyzyxxyzxyxzzzxyxzxxzyxyxxxxyxyxzzxzzxzyyzxxzzxzxzxxxyzyzyzxzzxyxzzxxyxxxxyzxxyzzyxxzzyyxxzzyxyyxyyzxzxyxxyzyxyxzzzyyyxzxyyxzyyyxxyyzyzyxxyyxyyxyyxzxyxyxzzyzyzxyxyxxzzzzzzzyzxyyzzzxxzyzxyzzxyzyxxyzxzxyyzyzyzzzxxyzyyzzxzxyyxxzyyxyzxxyxxyzxyzyxyxyxzyxyzxyzyyxxxyzzzxxzzyxyzzxyyyyxyzxxzzyyyzyzyyzzzzxyxxyxzxxyyzxyyzyyyzyxzzxyzyzyyyxzyxxzzyxzzzyzyzxxyyyyzxzzxyzzzzyyxyyyxzzyzyzxyzzyxzxzzzzzzxxzxzxxzxxyzxxxzyxxyyyxyyxyyyyyxzzyyyzyxyyyxzyzxyxzzxxxzzyzzxxxzyxzzzyyzzyzzxxxzxzyzyxyyxyzzzxyzxzzyyyzxzzxzzxxzyyzyyyxxyyzyyxyzyyyzxzzxyzxxyyyyxyzzzxzzxxxxxzxzxxyzyzyxzzzzxyyxzxxxzxyxxyzyxzxzxyyxyyyxyyzxyxxyzxxzxzzyzxyzzxyzzzxxyxzyyyyyzyyxzxxyxyyyxzzyyzxzyzxxyxxyyxzxzzxzzxxyyyxxxzxyyyxyzxzyyyyzzxzzyxxxzxyyxyxzyxzxxyzyzzyxzzxxyyzyyzxxzyyzyzzxxxxyxyzxxyyyyyyxyzxzzzyxzyxyxxzzzxxzxyyxzxzxxyxyzzzzzxyyyxxyzzyyxyxyzyzyzxyyzyzzyxyzyxyxxyyzyxzyzyyzzzzyzxzxzzyzzzzyyzxzyyzzzzyzxzyyyzxzyxzxyxyzzyzyxxxyzxyyxzyzzxxxxyyyxyzyxzxyxzxxxxyzzzxxzyzyxxxxyyzyxzzxyyxyxzzzxzxzxyxyyzxzxzyyzxzzzyyzxyzyyxzzxzzyyzzyzyyyxyxzyyzyxzxxxzzyyyyxxzyxzxyyyyxzzxzyyyxxzyyzyzzyzzxxyyxyzzzzxxyxyzzxyyxzxyzyxxxzyyzxxyzzyyyxxyzyyxzzyyyxzxzyyyzyzyxyyxxzyzzxzzyyyyxzxxyxyyyxxzyzzzxyzyxxxxzxyyxxzzxzyyyxyzxxxyxzzyyyyxxxyzzxzyxzzzxxyyxxyxzyzyxzyxxxyxyxxyxxyxyyzxzyxxxyyzyyyzxyxzzyyzzyyzzxyzzyzxzzxyyxyyxzzxzxzxyzxzxxyxyxxyyzxzzyzyzxzxzxxzyxyzyxzxxxxxzxzzzzxxyyxzxxyyxxxzyyyzzyyyzyzyxyyxxyyxyxxzxxzxxzyxxxyzyyyyxzyzxxxxxxyzyzzzyyyzzxxzzzzzzzyzyyxzzxxyxxzxyzzxxyzxyxxyzzxyxzyzxzyxyzzyyxxzyzyzyxzzyyxxzyxyzxzzzzyyyzyzyxzyxzyzyzzxyyxxyzxyyyzxxzxyyzxyxyzxyzyyzyyyxxyxxxxzyxyxzyzyzzxyzyxzzzxxxyxzxzxyyxxyyyyxzyxyzzzzyzzxyyyzxxzxxzzxyyyyzyyyzyxxzzyyxzyyzzzyxzzxxyyxyxyxzxzzyzzyxyyxxyyxzzzzzyyyyxyzzyxzyyxxzyyxxzyxyxyzxxzxxyzyxyxyyzxzxzyyzxxzyzzzzyxyyzzzyyyzyyxxxyyzzxxzxyzyxzxzxzyzzyzzzyzzzyzzzzyyyxyxyyxzxzzyxzzzzxyzxxzzzzzzzxxzyyzxzxxzzxyyzyyyzxyyyzyyzxyyzxyzxyyyyxzzzyyxxxyyxxyzyxyyyzyyyzxzxxzxyyyxyyxzxyyyxxyyyyxyxxzxxzyyzyxyxzxyzxzyxxxzzzxxzzyzyyzyxyzyzzxxyyzzxxyyyxyyzyzxxzzzzzzyzxxzyzxyyyyyzxxxzzyxyxyzyzzzyzxzxxxxyxyyxzxzyzzxzzzyxzzzyzzzzzxzyzzyzyzyzxyyyzyyyzyzyxxzxxzxxxzzzzxyyyxxzyzzxyxzxxyyxzzxzxzxzyzxyxzyyzxxxzzzyyxzyzzzzzyxzyzyxzxyyyxzyyxxzxzzzxyyxxzyzzzyxyxyzzxyxzxyyzzxyzzxxzzzxzyzzxzxzxxzzxyxyyzyzzzyxyzyyzzyxxzzzyzzyzyyyyyzxxxxzzyzyyzyzzzzyyyxyxyxxxzyxzxyxxyyzxyzzxyxyxzzzxyxxzxzzzzxyxzzxxzxyzxyyyxxyxxxzyyzzxxyxyxyyyxyzzxxzzxyxyzyyyzxyyyzyxyzyzyzyxyyxxzyyzxyyzyxyxzzxzxxyzyyzyyzzxzyzyyyxyzyyzyxyzyzzxyyxzyyxyxzyyzzyyxyxyyzxyxyyyzzzxzyzyyxyzxxzyyyxzzxyxyyxyyxzxyyxzyzyzyyzxxxyxyyzxyyyyzzzxyzyyzyzyzyzxzxzzxyyxyxxxyyzxzxxxzxzxxxzzyyzzxxxyxxxyxyzzxyzyyzxyyyyyzyxzyzzzxyzxyxzzyzxyxyyzxzyxyzyzyyzzzyyzyyzxzyyxyzxyxxyyzzzyyyzxzyzzzxxyzzzyxxxyyyzyxzyzxxxxxxzzxxyxzzyxxxyyyxxyyxzxxzxxyxxzxzyzzyyyxzzyzxyxyzxzxzxxxxxzzyzyxxxxxxyxzzyxzyxyzyzyzzxzyyzxzyzyyxyxxxxxzzzzyzyyxyzyyyxyyzzxyyzyyzzxxxyxyyxyxxzyzxzzyxyxzzyyzyyyyzyyxyyxyyzxxxzyyyyyxyyxzxyzxxzzxzxyxzzzzxzyxyyzxyyxyxzxyxyzzyzyxxzxzxxxzxzyzyzyzxyyzyxzzzzxyxyxxyyzyxxxzxyyzxxyxyzxzzxxzzxzzxyyyxzzxxzxxzyyyxzzzyzzyxzxxxzxzyzyzxzzyzzxxyzxzzxzyzzzxzzyyzxzzyyzyxzyyzxyyyzxxyzxxyzyxzyzxyyyzxzyxxzxzzyxyzzzzxyyzxxyyxxyxzyzzyzyyyyxzzzzxzyzzxxxyyxzxzzzxzxyxxxyyzxyyyxxzyzxxxyyzzzzyzyyyzzyxzzyxxzyxzzyzzzyxyxxxyzyyxzyzyyxxyxxyxxxyyxyzyyyzxxyxzzyxyxxzxzyyyzxzyzxxxxyxyzyyxzxyyzxyzxzyxxxxyxyyyzzzzyyyzxyzxxyyzxxyzzzzxyyyyxxzzzyyyzxzxxxzyyxyzxxzxyyzyzxyzzzxzyxzyyyyzyzyzyxzxyyzxxxxxzxxxyyyzxzzzzyxzzxyyyyyyzxyyyyzyzzxzyxzxyxzyzzxyzxzxyzxzyyyxxzyxyxyyxzzyzzxyzxxyzxxxxzxyxxyxyxyxyyyxxzxyyxxyxxzyyxxzyyyxzyxxzzyyxxyzzxyyxxxyyyyxxyxyxzxyzxzyxyxyzxyzzxzzzzyzxxyxyzzyzyxzzyzyxxxxxyyzyzzzxzzzzxzxyxxzyyxzxxyxyyyzyzyyzxyxxzzyyzyxyzzxyxzyzxzzyxyxxzyzyyxzyxyxyyxxxyzxzzzzzzzzyzzyxyyyzzyxxxzyzxxzyzzyzyxyxxxyzyyzxxyzxxzzxyzyzxzxxzyyyyyyxzxyxxxyxzzzyzzxzxxxyyyyzxzxyxzyxyzyzzyzzxzxyyyzzxyyxzzzyyyyxxzyxyzxyzxyxxxyzzxyyyyzyxyyyxxzyzzzyxxzzyyyzyxxzzyxyxxyxzxzxzyzxzxzzzxzxzzxzyyyzyxzzxxyyzzzxzxxxyxyzyzxyxzyxxyzxxyxzyzxyxyzyzyzzyzzyzzyzzzxyzzyzxyxyxyyyyxxyyxzxyzxzyyyzxyzzzzyzxzxyzxzzyyyyyzxyyyyyyyzxzzzyxxzyxyzyxzyzxzyzyxzzyzyyzxyyzzyzzzxyxxxzyxyxyxzxyxxzzxyyyxyxxzyzxzxzzzzxxyyyxxxyzzxyyyyxzxyzzyyyyxzyxxxyyxxxyxzzzyxxzxyzxxxxxxzxzyyxzzxzzzzxzzxzxzxxzyxyzxyzxzyyzyxxzzyyyyyzxxzyxzyzzzzzzzxyzxzzyzyyxxzyyzyxxzxzxxxyzxxzzzzxxzyyxzyyyyyzyzxzxxyxzzxyzyyzyxxyxyzxyxxyxxzyxxyyzxyyyyzxyxyyzyzzyyxyxzyyxzxyxxzyyyzxzyyzzzxyzzxzxzyyyzxxxxzzyxzzzyyyzyxxxxzyyzyyyzxzyxyzzyzxyxyxxxyxxyzyzzzxxxyxzyxyyzxzzzyyzxxzxxzyzyzyzzyzyzxyzzyxxxxzxyyyxyzyyxzyyzyxxzxzxzxxzxyyxxxzxxzxxyzxxzxyyxzyzyyxxyxzyxxzxxyzxzxyxxxxzyyyyxzzyxzzxzyxxzxxxxxxyxyxyyyyxzxyxzyzxzyzyzyxzxyyyyzxzzyzzzyxyzxxyzyyzyzxxyxzxzxyxzzyyyxyzzxzyxzyxzxxyyyyyxxzzxxyxzzzzyzyxzxyxyzxzxyzzxyyyyyzyxyxxxxzyxyzyzxzxzyxyzzyyzyzxxxyxzxyyyyzzzyyxxyyyyyzzxzyyyzxzzyxyxxxyxzyxxzyzyxyyxzzyzzzyxxyyyyzyyzxzzxyxxxxxzzzzzzyyxzyzzxzzxyxzzxzzxxyxzxzxzzzyzyxyyxxzyxxyxyyxyxyxzyyzxxzxyxyyyxxzzyxzyzzzyxzxxxzyyzyxzzzzyzyyyzyzzzzyzzyyzxxzzzzxyxxyxxxzzzxyyzyyyyyxxzzzzyxyzxzyzyzyxyyyxyxzzyzzxzxyzzxyxyyyzzxyyyzzyyzyyyxyxzyzzyyyxzyxyzyyyxyyzzyyzyyxyxyyxyzxzxyyyxxyxyyzzzzzzxzyzzxzyzxyzxxyyxxxxxyxxxyxzzxxzzyxxyzyxxxzxyyzyyyzxyyzxzzxxzyxyyxyyzxxxyzyyxxzxyxxzxyxxxzzyzyxxzzxyxyzyzxzyyzyyyzzxzxzzyyyzzzxyyyxyyxzzyxxzyyyxzyxzzzzxyzyxzxzyxyxzxzxzzyyxxyzxxxzyxyxzzzzxyyyyyxxzzyyxxyzyxxyyxzzyyyxxyyxxxyzxyyyxxxxxzzyxxzyzzxzxxxxyzxzyxzyyxxyxxxxyzxzyzxxzzyzxyzzzxxxyyzzzxzzzzzzyyyxxyxzyyzzzyzyxzyxxzyzxyzzzxxyzxxzxzyyyxzxyzxzxzxyyzxyxzzyxyxyzyzxyyzyxzxzyyzxxyyxzxzzxxxxzzyxxxzyzzzyzxzzzzyyxyzyzzyyxzzxzxyyzzyyzzyxxzzxzzyyyxxzzzxzzxxyzyxyyzzzyxyzzyzyyzzzzxxyxyyxxxyzzzxyzxzyzyzyxxzzyzxzyyxxzxxzyyyyyyzzxzyyxxyzyyyxxyzxzxyxxxxzyxyyzyyxxyxyyxzxyyxzxxyyzyxxzyyzyyxzxyxyzzyxyxzzzyyyxxxxyzzyzzyzxxyxyzzzxxzxxxxzzxzyzyzyxyxyyzzxxyyxyyxyyxyzxxxzzyxyyxyxxzyyxxzxyyyyyyyyxxxxxzyzxxxxzzxyzxxxzyyzxzxxyyzyzzyzzzyyyxyxyxxzzxzxzyzxxxzzxyzyxxyzyyxxxyxyxzzzxxxxzyyxzyzzyxxyyzyzzyyzyxyxzyzyyyzzyxxzxzyzzyyyzyzzyxzxzyyzzyzxzzxyzyxzzxzxyxzyyzxyyyxxxzxzxzxyyxxyxyzzxzxzyyzzzxxyxxyzzyzyzxxyzyyyxzzzyxyyyzzxzzyzzzyyxzzyzzzzzzxxxyzyyyxyzyyyxyxxzzzyxyxzzyxxyxzyyyzyxyzyyzxyxxyzzxyyyxzzzxzyxzxyzxzxyxzxyyxxxxxyzxzzxzzyyxyyyxyxxzzyyyxxxzxzxzyzxyzzzzxxzyyyyyzyyxyyyzyxyzxzxxyyxzzxzyxxxzzxzxxxxyzzzxxyxyxxzyyzxyzxxxxzxzzxzzxyzyxyzxyyxzxzxyzzzzxyxzzzxxzyzxyyyxxzyzzzzzzxzzyxxzxxyxzxzyyyzyzzyyyzzxxzzzxyzxyyzzzyxxyzzzyzzxxxxzyyyzxxxxxzyzzyzxyzzzxzzxzxzyyzzxyxzyyxzzxxzzyzzzyzyzyxzyzyxyyxzzyzxzyxxxxzxyzxzzxzzzzzxxyzxyxyxxyyxxzzxyzzzyzyxyxyzyyzxxzzyxyxxyzzxyxzzzxzzzyxxzxyxxxyxxyzxyzzzyxyxzzxxxyyxzxzxzxyyyzzyxyxxzzzxxyxxyyxyzzxxzyxxxzzyyzyyzyxzyxyzzyyxxzyzxxxxyzzxyyyxxxzzzxzxzzzzzzxzyyxzzxyyxzzzxxxzxzzyzxxzyyyyyxzzxyxzzzzxzyzxyxzxxzyzxxyyxyzxxxyxzyxxyxyyzxxxzyyxxxxxzyxzzzyxxyyzxxxxzyxyyxxyxyxxyxxyzzzyzyxxyzzzxzzxzxxzyzyzxzxyzzyyyzxzzzyzxzzyyzyyzxyxzyyzzyzzxzzzxxyxzxzxxxzzyzzzyyxxyzzyzxyxxxxyxyyzyxzyyyyzyyyyxzxyzxyzyyzxyyxxxxxyxxzyyzxyxxzzxxyyzzyxyyyxzyyyyzyzzzxxyyzyxyyxxxyzyzyyxxzyyyyzzyxzzxyyxxyyyzzxzyxxzzyyyxzxyzzyxzyzzzzyxxzxzzzxxyxyxzzzyzyyxyyzyzzyxzxzzxzzzyxyzzzzzzyyxyxyxzyxxxyxyzyxyxyxzxxyyxxxzyyyxyxxxyyzxzzzxzxyyzyzxzxyzyzzxyxzxzzxzzzxzzxzyxyxxyyxyxzxzxxxyxyzxxzxxzzyxyxxzyxzyzzxyyyyyzzzyxzyzzyzzyxzxzyyyzxzzxzyyxxxzyyyyxyxzxzxxxyxzxzzxzzyyzyzzxyxzxyyyxxzxxyzyzzxzxxyxxzxxyzyxzyxzxxzzzzxzyyxzxxyyxxxyzzzyyxzzzyxzzzyxzyyzzyyxxzxxzyyxyyzxzyzzzzyzyyzxxyxzyxzzyzxzyyzxyyyxyzyyxyyxzyxxxzyyzyzyyxyyxzyyyyxzyzzzzyyyxzxxyzyzxzzxxyzxyxxzzyyxzxyyxyxxyxyyxyxxyxzyxzxyxyxyyzyyzyxzzxyxyxxxxxyxzyzyzyyyxyxzxyyzzxzzzyxxzzyzyyyxyyzxzzzzxyyxyyxyyxyxxzyyxyyyxxzyyxyyzxyyxxzyxyxxyyyyzxyyyzxxyyzzzyxzxxyzxxxyzzyzxyzyyxzxyyxxyyxxyxzzyyxyxxyyzxxzzxxxyyzxyyxyyzzxxyzxzzyzxyxxyzyzzyxxxxyzzyxxxxzxyzzzxyyxyyyzzyxzzyzzxxyzyyxxxyzyxxxzyzzyxyxxyxxxxxzzyzxzzyxyyyxzyzzxzxxzxzyzxzyyzxzyzxxyxxxzzzzzxyxzzxyzyxyxyzzyyzyxyzzxxyyzyxyzzyzzyyyxzyzyxzzxzzyxxxyyxzxzxyzxyxyzyzzyxzxzzxzzzyzyzzyxxyxzzzyzzzxxxyyxzzyzyyzyxyyxxxzyxxyxzzyxyxyyyyyxxzyzzxxyyzyyyyzyxzxyzyxxxxxxyzyyxyyxxzzyxzxxzyxxyzxyzyxxzzxxyzzxzzyzxyyyyyxyzxzxzzzyyzxxxxyzzyyyzxzxyyzxyyzyxzxxyyzxzxyxyyyyzyxyxzyyzyzyyyxzxzyyyzyxyzxzzxyxxzyzzxxzzxxyxxxyzzyzzxxxzxzzzzyzxzxyzxxyzxzyyxxyyxxyxxzxyzxyzxzzyxzzyzxyxyzxyyyzxzxzyzxxyyzxxyyzzzxxzxzzxyxzxzyzyyzxxxyxxyzyyxxxyzxzyzzxyzxxyzxyyxyyxzxzxzzxxzzzyzxxyxzxyzzxzyxzxyxxxyxxyyyxzxzxyzzyzyzxzxxxyyyxzzzzzxxyxzyyyzyxzxzzxyxxzzyyzxzyzyzxxzzxyzzxzyzxzzzzzyxyyxyyxxxxzzzzzzxyxxxyyyxzxxxzxyyzzyzyzzyyyzxzxyzzxyyxzxyxzyzxzzxzyyyxyxyzxzxyyxxzyxyxyxzxxyzzyzyyzzzxyxyyxyzxzxzzzyxzzxzzxzzzxzyyzyxyyzxxxzyyxyyxyyyyzzyyyxxzyxxzyxxzxxxyyyxyxxzxzyyxxyxxxxyzzzzzxxyzzzxzyzxxxxzyyyyzzzyyzzxyyzzxzxzyzzxxxxzyzxyxxyzxzzzxyxzyxxxzxzxxyzxyxxxzzxxzzzyxzzzyyxxzxxyyyzxyxzzxxxxxyyzyxxyyyxyxxyyzzzzxyyxzzyxzxxxxzxxyyyzzxxyzyzzzyxyyxyyyzyxxzzxzzxzyyyyzyyyzyxyxyzzzzxxzxzzyyzyxzyxzzxzxxzxxxxyzxzyyyyzxzxxzzzxzzxzyzxyyzyyyyxxzxzxzzxzzzzyyzzyzzxzzzzzyzzxzzyzyxyxxyyzzzyxzxxyyzyxxzzzzxxyxxxzzzzzzzyzzzyyyzzzyyxzyzzzxzxzyzyyxyxxxxxxyzzyxzxxyyzzzyxxyxyxyzxzyzxzxzyyzxyxzyzyxxyyyyxyyzzyyyzyyzxxyzzyxxxyyzxxxzzxzzzyzyzzyyzxzzyyzyxyxxzzxyyyyyyxxxyzzyxzxzyzzzyzzxzxyxzxxyxxxyzyzzxzyyxzyxyzxzzzxyzxxxzzzyxyxyzzzyzxzyzzxzxzyyxzyzxyxyzyyxyzxyyyxyzxyyyxzxyzxzyxxzxyxxzzyxxyxyxzyzyzzyyxxzyxyyxyzyzxzzyxzxyxxxzyzzzyyzyxxzyxxzzxzzzxxxxzzyyzxxzyxxyzyzxyzxyzxyxxyyzxxyzzyxxzyzzzyxzzzyzyyyzzxzxxyyxzzyxyyzxxxyyzzzzyyyyxyyxyxzyyxyyxxyyyzyxyzzyzyzzzxzzxzzxyzzzxzzyyyyyzxxxyxxzxxzyxxzxzxyyyxxxzzxxxzzzxxyzyyxzzzyzzxzxyxyyyyyxyyzzyyyxxxxzzyzzzyzzxzyyzzzyxyzyyzxyxzyzxzxzxzzxxyzzyzxyzxxyzzzzxyyxxzyxyxyyyyyyzxxxzyxzxyzxxyzxzzyxyyzyxzxzyzxxyxyzyxyxyxzxyzyxyyyzzzzyxxxyxxzzzxxxxyyzzyyzyzxyyxzxyzxxyyxyxyyzzxyyzxxzzxzxxxyzyxxzyzxyzyyyyzyzzxxyyzyzyxzyxxyzyyxxxyzzxxzxxyzzxyzzzyxxzxzzzxxxzyzzxzxzzxzzzzyzxzzyzxyzzzzxxyxyzyxxzxyyzyzyyyzyzzzzxxxzxzyzyyxxzyzyzyxzyxzxyyzzzyyzzxyyxxzzzxyyxzyzzyyzyxyyxyzxyxyyyzyxxxzyxzxzyxxyzxzzxyzxxxyzzxyzxzzzzzyyxzxxxxyxxzxyxzzzzyzxzzyzyyxxxxxyyzxyxzzxyxzyyxzyxzzzyyzxyxyzxzzyyxzxyxxyzxzxzxxxzzyyyzyzxzxzzyzyzxzyxzzzxxzxzyyxyxzzzyzyzzxxxxzxyzzzyxxyyyzyyyzxyyyzzzzzxxzyzxyzxyzyzxxzzxxzxzxxzzyzxzxzyxxyzyzzyxzyxyyzzxxzzzyyxyxzyxyzzyzyxxxyzyyxzyyxyxzxyzyzzyzzxxxyxxyzzyzyyzxyzyzzyyyyyzyzxxzzyyzxxxyyyxxzyzzyyxyyxxxxzyyyzxyzyzzzzxzyzxxyxxzzyxxzyxxzzzyzyzzxyzxyzxyyzzyzzzyyxzxzyzyzzyxxxzzzxzxxxzxyzzxyxyxzyxzzzxzyyxxzzzxzzyxyxxxxxyzyyxyyxyzyxzxxyxxyxyyxzxzzyyyxzxxyxyyxzxxxzzzyzzxyyyyyxxzxzyzyyzyyzxzzzzzxyxzyxyzxzzxyxxyyyzyyyyyzxyyyyyyxxzxxxxyzzxzzzyxzyzxzyyyxzxxzzxzyzyxxxyyxxxzxxxzzyxxyzyxyzzzyxyyxzzyyyzxzyyzyzxyyxxxyxzzxyxyxyzzyxyxzxyxxyxxzxzxxxzxyxzyxxzxzyzyzzzxzzxyxyxyzzyzzxzyxyzxyxyyxzyxzzyzzxzxyzzzxzyyxyyxyzyyyyyzxyxzyyxxyzzxzzxxyyxyxzyxyxzxzxyxzyzyyxxzzxzzzxzzyyyzzzyyzzxyyzyzzxzyyzxyyzzzzyzyyxyzxzxzzyyxyzyxxxyyyyzyzzxyxyyzzzzyyyxzyyyxyxxxyxyxzyyzxxzyyzyxxzzzxyzxyxxyzzyyxxxxzzzzzyyxxxxyyzyzzxxzxxzyxxxyxyxzxxxxzxyxzzxxzzyyxxyxxxzxyyyyxyyzzxyyxyzzxzzyyyyyxxyyyyzxxxzxxyzzyyyyxyyyyyxxzxxzzzyxxyzyyxyyzyzyxxzxxzyyyzxxyzxzzyyzyyzxzyzzyxxzxxzyyyzzxyzzyzyyzzxyxyyyxxzxyyzzxyyyxzxyxzzzxxyzxzyxyyyxxxxzxxxzzyyzxyxxxyyyyzyzxxyzxzxyyxyyxxxyyyzxyyyzzxzxyyyyxyzxyxzyxxzzyxxyyxzyzxzyzxyzyzyxyzzxzyyxxzxxxxyzxxyxxyxzzxzyzyzzxzyyxxxyzxxxyyzxyzxyyzzyzxyxyyzzyxzxzxxxyyyzxyxyxxxzyzxzxyxzxxxyxyyzxxyyzxyxzzzzyxzzyyxyyyzyxxxzzxzyyyzzyzxzyxyzzxyzyxxxyxyyxxyzzzyyzzzyzyxzzzyyzxxzyxyyxyyzyxzyyzzxxyxxxxzxxyxyzxyyyzyzzyzyyxyxxxzyxyxyxzxxzzyzxzxxzxxxxzxyzyxyzyyxzyxyxxzzxyyxyxxzxyzxxzxxxyxxyyzzyzzxxzyyxyyyxxxzzyyyzzxzyxyzxxzzxxxyzyxyzzzzxxzyxxzyxzxzxyzzzyyyyyxyzzxyzzzxyxxxxzxzyzzzzzyyxyyzxzyzyxxyzyyyxxyzzyzxyyyzxyxxxyzyzxzxxxyzxxyxzzxxzyzyzxyzxzyzxxzzxzxzyyyyyyxxzyyxzyyyyxzzzxyzyzyzyxyxyxzxzyzyzyyyyzzxzyzyyyzyzzzxxzyxzzyyyxyxxyzzyxyzzzxzxyyyyzxzyxyxxzyxxxzzxxxzzzxxyzzxzzzxzxyxxyzzyzxxzzzxxyxxzyyzyzxyzzzxyzzxxzxxxyxyxyyyxxzxzxzyxzyxzyzyxxyzxxyyzyxxxzzxxzxzzxzxzxzyxxyyzxxxxyxxxzzxzzyxzzyzyzzyzyxzyxzyyxyxyyzyzxyyyzzyxxyzyzzxxxyzzyyyxzzxzxzxzxyzyzyzxxxyxzxzxzzyyzzzzyxzxxxyyxxzyyxzzzxyxyzzyzxzxyzyyzxxyyzzxzzxxyxyyzxyxyyxyyxzxzzzyyxzzxzxzyxxyzyyyyzxzzyzxyxxxzyzyyzxxzzzzxxyzxxyzxyxxyzyxxxyxzzyyzyyzzzxxxxzyzxxzzyzzzyzxxxyyzyyxxxxzxxyxxyyxyyzzxyxyxyzzyyxxyyxxzxyyyxyyyxxxzxxxzzzyzzzyyxxxyzxzxyxxxxyxxzzxxzzxzxzxxzxxyxzzzzxzyxzzzxyzxzyxyzxxzyxyzyxxxyxzzxyyyyzyxzxzyzyzyzyyxxyzxzzzyyzyxzyyzxxxxyyxxxxxyxyyyzyyzxxyxyzyyxxzyyyzyxxzzyxzyzxyxxzxxzyzyyyxzzyyyxxyxyxzzzyzzxyzxxxyzxxyxxxzzzyzzzzyzxyzzzzyxzyzxyxzyzzyyzxxzyyyzyzxzzyzyxzzzyyyxyzxxyxzzxzyzyzyzzzzyxzxxzzzyxzyyzzxyyxxxxzxyzyyyxyzyzyzyyyxyxzzyyyyxzzyxxxyyzzyzzxxzzyyxzyxxzxxyxzyxyxyxzyyzzxxyzzzzyzzxzzzzzzyyyxyxzxyyzxxzyxyyxzzzzyxyyxyxxzxxyxyzyzyzxzyyyxyxzxzyzyyxyxyzxxzxzxxzzyxxzzyyxxyzzzzyzyxxxxxxxzyyyzxxxxxxyyxzxzxzzyxzxxzxxxzyxzxzxzxxxyzzyyxxzyxyzzzyyxzzyzyyyxzxyzxxxxzyyzyxxzyzzzzzxyyzyzxxzzxzzzzxyxzxxzxyzyzyyyyzzxxxxxxzyzxxyyyzxzxxxzxyxzzzxzyyxyxxxzzyzxyxyxxxzxyyxyxzxyzxzxzzxxxzyzzxzzxyzzxxxyxzxxxzzyxzzxyzyyyyxyyxxxxxxzxzxxzzzyyxyxxyzxyzzzxzxxyyxyxyxzxyxzxxxzyxzyxyxzzzxzxyzxyzzxxyzxyxzzyzxyxxyzxxyzxyzyxxxyyxyyxyyyyzzxzzxzxyxxyzyzzyyyyzzzxxzxyxxyyxyxyyxzyzzxyyyzzzxyzxyxzxyxzzzxxxzxzzxzzzzyzyzzyxyxzyzzyyxxxyzxzxyyxxxxyxxxzyxxzzxxyzxzyyzzxzyyxxyzxzyyyyxyzzyyyxxyzyyzxzzyzyyxyzzyyyxyxyzyyxyxyzxzyxyzzyyzxyyzzxxxxyyzyxzxyyxyxzxxxxzxxyzzyxyzxxxzyxxyyzyxxzyyyyzxzxyxyxyxyzzxzyxzxxzyxzyyzxxxxzxxxxzzzxxzxxzxzzxxxyyxzzyzyyxxzxzxzxyzzxyzyyyzxyzyzxxzzxyyxzyyzzxyyxyyxxxyyxzyxzyxxxyyxxxxyyzzzxzyzxxzxxyyzzzxyxxzyxzzzzyyxyzzyzxxzyxyzyxyzzyxxyxzyxzyxyzxyyxyzzxxyzyzxxzzxyyzxxxxxxxzzyyzzzxxzzxxxyyzzxyzyyzzxyxyyyzyzxxyxyyzyzxzxzzyxyyyxyzxzxyyyzxxxzzxzzxxzyyxyyxyxxxzzyxzzyzyyzyyxxzxzxyzxxzxyzyxzzxzxyxyxxxyzxzzzyxzzzzzzyyyxzyzzzxxyzxyyyyzzyyxzxzxyyyxyxzzyzxyzxzzzzzxzzxzzxyzyyzyxxyxyxzxyyxxyzyzyxzyzzyzxxyxzxyzzxzyxxyyzxzzxxzyxyyyzzyxzzzzzxzzxzzzzxxyyzyxxyyxyyxxxzzxzxxyyyyxzyyzxyxzyxyyzyxzyxyzxyyzxxzxzxzyxyzzxyxyxzzyyyyyxxxzxzxzyyxyxyxxxyyxyyzxyzxzzyxzyzyyyzyyzzyyzxyxzzzxzyzxzxzyxzxyxzxxzxyxyyxzzzxzzxxzzyyyzxyxyzyyyzxxxyzyzzyxzxxyxzxxzxyyzzyxxyxxxyyxyzyzxxyyyzyyzyyxxxxyzxxxzzyxxxyzyzyyxxyzyxxyyzxxzyyyyxzzyxyxyzzyzzzyyyzzzxzyxzyzzxzyyxzxzyyzyxyxyzxzyyyxzzzzyzzzzxyzxzxyyxyxxxzxxxzxyyxyyzxxxyyxzxyzyzyyxxyyyxyxyyxxzxyxxyzyzxzzyxxyzyyzxxxyzyzyzzzyzzxzxxyzyyyxzxxxxyyyxzxyxyxxzxyyzzzyzxxyzzzzzzzyxyxyxzyyyyyyxxyyyzyxzyyzzyyzxyxyxxxyzyxyyxzyzxyxzzzyyxxzyzzyyyxzyxyyyxzzzzyxzyzzzzyxxzyxxyyzyxzzyyxyxxxxyyzyyxzzxxxyxyzyxyyxxyzxxzyyxyxzxxzyyzxyzxyxxyzyyyzyxzzyyzzxzzzzzyzxxzxxxzxzzyyzxzxyxyyyyyyzxzyxxyzxzyxxyyxzxzzzyyzzyyxxzzyyyxyyzzzxyxxxyxyzxzyzyyyzzzyyyzzzxzzyyyyyxxyzxyzyxxxyxzyxxyxxzyxxxzzyzzxzyzzyxyzzyxyxyyxzzzzyzyxzxzyyxxzyzyxyxxxyyyyxxzyzzzyzyxyyzzzyxyxxxyyzyzzzzxzzxxyyyyyzxxzzzxyxxxyxzxyzxxxzzzzzzzzxxyyzzyyxyzxxxzyzxyzxzzxzyzyxyxzzxxyzxyyzyyyyxyxzxzxzxyzyyzyyxzxxyyzxyxzxzzyxyzxzxxxyxzxxzxyyzzxzzxyxyzxyzzzxyxxzxyzyzxzzyxxyzzyzzzxyxxxzxyxyyzzyxxxxyxyzxxyzzzzxxyyzxzyyyzxyxxzzxxzzyxxxyxzyzxyzzyyzxxzyyyxyzyyyyxzxzzzzzzxzyxzzzzxxyyxxxyzxxyyzyzzxyyyzxxyzzxzyxxzyyzzyxzzyxyxxyxzzyxxxyxxyzyyyxxxxzyyyzyzxxzxzyxxxyyxxyxzxxyxzyxxzyyzzyxzzyyxzzxzyxxyxzxyyxzzxzzzyyyyzxxxzzyyzxzyzyxxxyzzzzzzzyyyzyyyzxxyzzzzyzyyzxxzxxyxxzyzxzzxxxzyzyxyzyyyyxyzxzyzyyxzxyxyzxzyyzyxzzxyxzyzyyzyxxzxxzzyzyyyyxyyxyyyxzxzyzzxyyyyyzyxyyyyyzzxyyzyyxxyzxyxzyyyyyzzxzxyxxxzxzzxxxxyyxxxyxzzyyyzyzyyzzyxyzxzxzyyyzzxyzzxxyxyyxyxzyxyyyzzxxyyxzzyxxxzyxyyzxzxxxzyxxzxyzzzyzyyyyxxzyyyzxyzzzxzxzxyzzyxzyyxyzxxyyxyxxzzxzyyyyyzyxxyyxxyyxyyxxxyzzyyyyzxyxzyzzxzxxzzyxzzyyxxzyyyxxzzxyyyxyxzyzxzyyxzyzzyzxyyzzzzyzxzzxyxxzxxxzzzzyzzxxyzyxzxxyxzxxxyzxyyyxyxzxyzxyyyzzzzzxyxxxxzyyxxzyzzzyxzzyzzyzyyxyzxxxyzxzxyzxxyyzyzyyzzxzzzyxyxxzyzxxzyyyzxxzxxzxxyzyzxxyzzxyyzyzxxzyxzzyxzyzyyxyzzzxyyxxyyxxzyzzyzxxyyzxyzyzxyyxzxzxxzxxzxxzyyxxxxxxxzzxzyzxxzzzzzxxzxxzzxxyyzzzyxyyxyxzzxyyyzyxxxzyxyxyxyzyyzxxyxyyyxxyxxzxyxzzyzzzxzxzzxxyzyzyzyyyyxxyyyyzxyzzzxyzzxzzyyzxyyyzyxzxzzxyxxxyzzxyyxxyxzzxzzzxyyxzyzxyyxzyyxzyzxzzxxxxyzzzyzxzxzzyyyxyzxyyzzzzxzzxxxxxzxxxyyzxyzzzzxyyxyxyxzyyyzxxzzzzxzyyxzzzxzyzyzzzzzyyzxxzxyyzxzyyxyxyxxyzzxzxyzyzxyxyyyzzzyyzxzxxzxyzxzxxxzzxzzyyyzzyxzxxyxzxyxyzzzyxxxxzyzzzyyzzxxyzyzzxzzxxyzzyyzzxxyyzyxzzzxzyyyyxyyzyxxyyzxzyzxzzzyzyxxyzzyxzyzyxzxyxzxyxxyxyyxzzyxxyyxyxyyzzyyzzxyzyxxzzxzyyzyzyyzzxxyxzyyzzyxyxxyyxzxzyxyzyxzyyyyyzyxyzxyyzzyxzxzxyxzzzzyxzyyzzxxxyzxxxyzyzxxxyxxxyyzzxyzyyxzzxyyzzzzxxxzyxzzyzxyyxzxxzxyzxyzzyyyyyyyxyzyzxyxxzzxzzxyxzyyxxzxxxxyzyxxzzyxzxyxyxxzyxyxyzzyxxyyzyyzxzyzzxzzzyzzzyyyyxxxyzzxxyzxzxzyzzzyyyzxyzzzxyyzyzyzyxzyyzzxxyyxzyzzxxzxzyzyyzzyxyzxxxyxxzzzyzxyyyzzxyzyxyxzxzxyzyyxyxxzyzyzzyxxyxzxxzyxxxxyzzyyxxyyxxxyzxyzxyzxyyxxxyyyxxxxxxxxxzzxzzyzzyzxxxzyyxzyxzxyxyzxyzyyxzyxyzzzyyyyzxxzxxyzxyzxxxxzxxzxxyxyxyzyzzyyyzzzxyyxxzyyxxyyyzzyxyzxyzzxyzyzxxzxxzxyxxxyyyyzzxzyxzzzxxyyxxzyzyxxyzyyzzzxyxxyzyyxzzyzzxyyyxzyxyxzyyzxxxzyzzzzzyyyzzzxyyyxyxzzxxxyyyyzzyyyzzzzyxzxyyzxyzxyzyyxyyzzyyyxyyyzxzxxzyyxzxxxzzxyyyyxyyyyzxyyxyxzyzyyxxxzxzzyzxzxzzxxxyyxxxxyzzzzzyyyxyxxxyyyzxyxxxzzxzyxxxyzyyxzyyxzzyyxyxyzzzxxzxzzyxzyzxxyyyyyyzyzxyxxxzzxxxxyzxxxxzzyyzxxzzzzxxzzxzzzzxzzxxxzyzyxzzzyyzzzxzzxxyzyzzyxyyzzxxyxzxzzyyzxzyyzzxxyxxzzxxzyxxzzyzxyxxyxxyyxyxyyzyzzzzzxyyzzxyzyxxxyxzyxyxzyyyzzyyxzxzxxyxxzzzzxxzzyzzyxyyxxzxzxyyxxxyxyzzyyxzzyzzzxzzyxzzxzyxyxxzzzyxxzzyxyyxyyzzyxxzxxxyyzzzyyyxzyxzxxxyzyxzxxyxyzxzyyyzyyxzxxyxyzxzyzyzzzyyyyzyxxxzyyxyxzxxxzxzyzzyzxyxxzxzzxzxzzxyxyzxyzxzxyzzyzyzyxxyyzyxxzzzzyzxxxyxzyxyzxyxzzyxzxyyyyyyzzyxxzxyxxyxyxyxxyxzzyzzxzzxzxxzxxxzzxzxxzyyxyzzzyyzxxzxyzxzzxxzzyxyzxxyyyzyyxzzzxyzyyzxyyzzyzyyxxxyyyxxzzzzyzyyxzzyxzyyzyzzzxyyyyxyyzzxzzzzyzxxxxyyyxxxzxyxxzyyyzzzzxyxyyxxxzzxxxzyxxxyzxyyxyyzxyyzyyyyxxyzyxxzxyzxyzxxxxyzyzxzzxzzxzyzzxyxzyzxyxxyzzxxzyyzzzyzyyzyzzyzxzxyyxyyxyyxxzxzzyzyzyyxzxyzzxzzzyyxxxyyxxxyzzxyzyyzyxyyyxyyyyzyzxxxxyzyxyzzzxyyzyyzxxyyyyyxzyyxxyxzxzyzzzyyzxyzzyzzzyxxyyzyxzzxzzyyyzyxxyyxzxxzyzxzyyxyzxzxxzxxyyyzzyzyzxyyxxxzxxzyyxzxxzzzxxxxxxyxyyyzyzyxzyyzzxyyxzyyzzyyzyxxyxxxzyzxyxyxyyxxyyyyxzyyyxyyyyxzxxzzzxzyyyzyzyxzzxxzyxzzyxzzxzyzyzzxxyzxzzyyxzxxxzxzzzyyzzxyyxyzyxzzyxzyxyxzyzxxyzyzyxxzxyxzzyxxxzyyxyzxxyxxyxyyzxzzzzzyzxzzzxyyyzzyxyzzxzzxyyxxxyyxyzxzxxxxyzxyyzyzxzyxzxxyzyzzxxxyxyxzxyxzxxxyyzzyxyxzxzyyyzyzzyxxxxyyxyxxyxyyzxyyzxyzxxyzzzyzxyyxzxxxzxxxzyxzyyyzzzzxxyyzxxzzxxzzyyxzyxzzxzzzxxxxxxxzxzyxyzzzxzzyxyzxzzxxzyxyyzyzyyyzxzxxyzzzzxxzzyyxzzyxxyyzyzzxzxxxzyxzzyxxyzzxzxxzzzyzxzxyxzzxzxxzxxxyxzxyxyxzxxxxyzzyzyxyxyzxzzxzyxxyxxyzzxxzxyxzzxxyyyxxzxzxyzxxyxyxyyyyzxxxxzyyyzyyxzxyxyxzxzxyyxxxyzyxxzyzxyyzyxxzyyzyzyxxyzzyyyxxxzxyyyzzyyxyzyzyzyzzxxzyyzxyyyyxyyxyyxxzxzzzzyxyxxxyzyxxyzxzxzzxyzxxyyzxzxzxxxyzxxxyyyxxxyzxxxyyzxyyxyxxzxxxxyyyxyzyzyxyyyxyyzzzzzxzzzyxzzzzxxyxzzxxxzxyzxzxxyxzxxyzzyyxyyyyyzyzxzxyxyzyyyzxxxyxxxyxzyyyxxzyyxyzyyzyxzxxyyyxxxyxzyzxxyzxzxyzxyyxyzzyxyzyyzxxzxzxzxyxzzzxxzxyzyyyyxxzzxzxzzxyzyzyyyyzzyxxzxyzyyxxyxxyxyxyyyzzyyyyyzzyzzxzxyyxyxxxyxxxxzxxzyzzzzyyxxxzzyyzxxzxzzzxxyyyyyxyzxxzyyzxzxzyyzyxxzyzyzxyyyxyyzxyyxxyzyxzxzxyzyxxxxyxzyyxyxzyyzzzxxzzyyyxxzzzxzxyyyzxzxyyxyyyyyyzyyyxzzzyyzyzzyxxzzxzxyzzyxxxyzyyyzxzyxzzyxzxzyxyzxxxzzxyxyzzzyxyzyxyzzzzxyzyyyyxxyzzxyxyzzzxyyyzyzzyxzxyyyxzzyyxxyxzzxyxyyxxzzxzyyxxzxxzzzxyxyzxxyxxzzyyyzzxxxxyxxxxxyzxzyzyzzyxzxxzzzzyyzyzxzyyzxyyxzzzyyyzxzzxyxyyxyxyxxzyzzzzxzxyxzyzyzzxzzxyxyyxzzzzxyzyzxzyxyyxxyxxyxyyzyxzxzyxzyyxxzzzyzzzxzzxyzxzzyxxxzyzyzzyzxzxzxxzyyyzxyxyzxyzzzxyxxxzyyyzzyzxxxzxxzzzyzyzxxyxyxzyyzzzyzxzxxxzyxyxyzzxzyzyzxyyzzxxxxxzxyzxxzyzxyxzxzzyzxzxxzyyyzzzxzyzyyyxzzzxzxzyxzzzzzyxxyxyyyzzxyzzxxzxzyyzxyxzyxyzyzzzyzxzxzxxyzxyxzxxzxyzxyxyzxxzxyxxzzzzxxzyxzyyyyxyyzzzyxxxyzxxyyyzxzzzxxzzyyxxzzxzyxxzzyxyzzyxyxzyyzzyzzxyyxzzzxzxxzzzxxyxyyzxzyyxyzzyxzxyxyzyxxzyxxxzxyxyzzzyxxyzyzyzxyyxxxzzyyzyyxxzzzxyzzzzzxzzyxzzxyyyzxyyxxzyzzyyyyzzxzyyyxyzyzyyxxyxyxzyzxyxyzzzzyxyxyyxzyyxxyzzxyxyzxzyyyyzxzzzxzzyxxyzzyxzxxyyxxzzxzyyzxyxzxyzzzxxxyxyyyyyzzxxxzzxzzzzyzyzyxxzzxzxyyyxxzxxzxxxzyyyxzyyyzyxyyzxzxxzxyzyxxxxyzyyzxzxxzyzxxzzzyyzyzxyzyyxxyyxyzzxzyzzyzzyxyzzxyxxzyzzyyxxxxzxxxyyyzzzyxyzyxxyyxzzzyzzzxyzyzxxyyxxzyyxyzyzyxxyyxyyxyxzxyzxxzzyzxxxzyxyxxyyzyzyyyzyxyxyzzyyxzzyxzyyxyxxxyzyxyyxyyyzxzzyyzzyxxyxxxzzyyzyyzxzxzxyyzzyzzzxyyzxxzxzzxyxyzzyyxyzxyxzxyzyxzzxzyzxzyxyxxyzyxxyzyxxzzxxyxzyzyzxyxxyxyzzyyyxxyyxzyxyzzyxxxxxyzzxxzxxyzzzxxxxxxzyzxzxyzzyxzyzyyyyzyyxyzyyyxzxyyxzxyzzxzzzyxxxxzxxzxxyzzzxzxyxzyzxyzxyzxzxyzzzxxxzxyyxxxzxxyxzxyyzzxzxzyzxxyxzzyyzzxxxyyzzzzxyzxyxzzzyzxyzzzxxxyxzzxzzzxxyyzzzzxzyzyxxzxxzxzzyxxyzxxyyxyzxxzyxxxzxyzzyyzxzyxyxzyyxxyxzyzzxyxyxzyyxxyyxzzzxyzzxyzyyyyzxyzxxyxxzzyxyxzxzzzzyzzyxzxzxyxxzxyyzxxyxyzzxyzyyzzxzxzzzzzxzyyxxzyxyzzxzxzxzyyxxzxzzzyyyxxyxyyyxyxzyzzyxxxzzzyyzzyzzzzxzzyxxyxyyyxzxyxyzyxxzxzxzxyyxzyxyzzyyxyzyxyxyyzzzzxyzzzyyxxxzyyzyzxxzxzyzzyyyyxxyzxxyyzzyzxxyzzxyxzxzzzxzxxxzzzxxyxxzyyzyzzyxyzxxyzxxzxyxxyxxxyxyyxxyyzzzyzxzyxxyyzyyyzzzxzxyyzzyxxyzzxyxzyxxzyzzyxyyxyxzzyzxxxyzxxzyxzxyxyxzyxxyxxxxyzyyxzyxyxyyyzyyzxyzyzyyyyxxyyzxyxyyzzyxzyzzyxxxxxxxxxzzzyyxyyyzyzzzxzxxzzyxzyyyyyzyxzyyyxyxyyzxzyxyzxxxyxzyzzzzyxxxyyzxxzzxzzxxzzzxzzxyxzxxxxxyxxzxxzyzxzzyyyyzzyyzxxxxyzyxyxzzzyxyzxxyxzzxxyxyzxxyyyxxxxyzyxxzzzyxyzyyzyyzyyxyzxzyxyzyzyxzxzxzyyyzxxzzzyyzyzxxxxzyyyyxxzxyzzyxzzyzyxxzxyxyyzzzzyzxzzzzzxyyxxxxzzzxxxxyyxyzyyxzxzzzyzxyyzyzxyyyzyyxzzyyyxzzzxyzxzzzyyyzxzyxxzxxxzyyxzzzyxyzyyyyyzxxxyxxzyxxyzzxxxzyyyzyzxyyxyxxxyzzxxzzyxxyyyxyyyxzzyxyzyzyxyzyyxyyzzxzzzyxyzyzyxyxyyzyyxzzxxyyzyyzzzzxzxyyyyyxyyyzyzyzyzzzxzxyzxxzzzxyxyzyzzyyyyzzxyxyxzzxyzxzzzzyyyyzyzzzyxyxyzxxxyzzyxzyzzzyyyyxyxxxzzzyxzyyyzxxyxyyyxxzzxzyxxxyyxxxyzyxxyzxzxxxzxzxxyxyzxyxxxzxyzzxxyyyzxyxzxxzyxzxzzzyzzxzzzzxxyzxxxzzxyzyzxxzzxzyxyzzxyyzxzyxyzzzxxyzxzyzzzzzyzyzzyxxzxzzyzzxzyzyyyzyxxzyzzxxzxzyyyzxzxzzxzxzyxyxzzxxyyxxzzyyxxzxyzzzyzxxxxxzxzzxxxzxzxzxyxxxzyzyzyzxxzxxzyzyzzyxzzzyyzxxzzyzzyzzxyyzyyyzzyzzyyzzyzyzxzxxzyxxzxxyxxxxzxyyzxzyxzyyzxzxyyxyxxxyyyyxxzxyzxxzzyxzyxxzyzyzyxyxzzxxzyxxzxzzyzzxyxzzxzxyxzzxzzzxyyxzyzzyyzzxyxxyxzxzyzxyzzzyxyzzzyzzzyxyzxzyyyyyzxyyyzzzxyzyzxyxxxyzxxyxzxyxzxzzzzzzxxxzzxyyyxxzyxxyzzxyxyxzyxyxxyxyyzxzzxzyzzyyxxxxzzzzyxzxyzyzxyzzxyxzyyzyzxxzzxyyyyxxzzxzzzzyxxxyxyxzyzyyxzxxzyzxyyzzzxzzzxzyzzzxxyyzxxzyzzzzyxyzzxxzxxyyyyzxxyyyyyyyyxyxyyzzyyxxzxzxyzyyxxxxzxxyyzzyzyzyyyzyxxxyyxxxyzzzzzxyxyyyyyyxxyyxyzzzxyzyxxzxxxyxyxxzzyyxyxyzyyxzyxzzyzxzxzzxyzzyxxxyyxzzyxyxxzzyzyyyyzzxzyxzxxyzzzyxzxzyyyyxxxxyxyyxyxyxzyyzzxzxzyzzyyxyyxzxyzzzzzzxyxyzzyyzzxzyzxxzzzxyxyzzyzzyzxxzxxzxzxzyyyxzzyxzyyyxxyxxxyyyxxyxxzyxxyzxxxzxyyxyyyxzxzzyyzzzxxyzzxyyyzzzzxzxxxyxxzyzzxzzxyxyxzxxxyzxyyyxxzyyyyyxxyzyzyxxyzxyxxxzxxxyzxxyzzzzxyzxxxzxzyxzyxzzzyyyyxxzyxzzyyzxxxxzyyzxxxzzyyzxyxzyzyxzyzxxxzzyyxyzxyxzxxzyyzzzxyzzyzxyzyzxxyyxyxzyzyxyzzzyyxyyxzzzxzxxzzyzyzyyxzzyxxzzxzyzyzxzzyxzyxzzxzxzxxxyxxxyzxzxyzxyxzxzzxyxxyzyzyyyxzzzyzxzyyxxyyzzyxxzzxzyyzxyyyxxxzzyzxzzzzxzzzyzzyxxyxyxzzzyxyzxyxxzxzxzxxxyxyyyxzzxxzyyxxxyxzxzxyzxzzzzyyyzyxyxzzxzxxzxyxxzyyzxxzyzxxzzxxyyyzxyxzxxyxzxzzzxzzxzzyxyyyzyyyzyzxxzyyzzxzzxxxxzyyzxzyzyzyzxxxxxyzxzzzyyxxxzxxyyxxzzyxyyzzxxzzxyyxyzzyzyyzxyxzyyzzxzzxyyyyyyyzyxzzxxyzyxxzzyxzxxxyyzzzxxyzyyxzyzyyxyyzyzxyyxxyyxzyzzyxyxzxzyxxyzyyxxzxyyzyxyyzxxyzxxyzxzxyxzxyyyxzzzyyxzxyzyzxxxxyyyzyxyxzyzzyxzxyyxxxyyzzyzzzyzzyyyzxyzzxyyyxyyzyxzzzyzxxzyyyzzxxxxzxyyyxzxxyzyyzyyxyzzzxxyyyzxxxzyyzyzxxyxzzzzxxxyxxzxyyyyyzxyzzyxxzyxzyyxzzzxzzzyyzxyyyxzyzxzzyxxxzyxzzxyxxyxzyzzzyxxxyxzxzyzxzzzyzyxzzyxyzyxxxyyxyzxxyzxyzxzyzxyyxxyyxzyxyxzyyyyzxxyyyxyyyzzyxxyxzxzyyxxxyyxxzzzxzxyyxxzyzyyyxzxzzxyxyzyxyzxxyzzzyyxyxxzxxzzyyyzxzyyxxzzzyxxyxyxyyxxyzzzzyxxyxyyyxyzzyxyxyyxxyxyzzzyzyyzzyyxyzyxzzzzxzzyyyzxxxyzyxyxzxyxxzyyxzzxyyxxzxzzzyxzyzzzzzzyzxxyyxyzyzxxyxxzxyzxxzzzxyyyyxyyxzzxyyzyxyyzzyyzyxzzyyyyzyzxxyxxyyxyzzyyyxyyyxyyxzyyyyzxyxzzzyyzyzyyyxxzxyzxzxyyyxxxyzyxzxxxxyyyxxyzzzxzzyzzxxxyzxzxyyxyxzxyyxxzzxxyxyxzyxxyzyzyzxyzxyyxzyxxxzyyyyyzzxzzxzzxzyyxyzzzzyzyzxxyyxxyyxxxzyzyxzxyzyxyzxzxyzxzxzyxyyxyzxxzyzxzyzzzzxxyzzxyxzzzyzzzyyzzyxzxxyzzxxxyzzzxxxxxzyzzyzyxzyxyyzzxyzzzzyxxzyyzxxxzyyyyzxyzxzyzxxzzyyzzxzyzyzyyyyyyxyzxyzxzzyzyxxyyzxxyzzyyzyzyyyyxyxzzyxzzzzxxzyxxxzzxyxyyyzxyxxxxyxxzxxyxxzyyyxzzyzzxyxxyyxyzyyxzzxzyzyxyxyzyzxyyxyzzzxyyzzyzzxyyxxyxzzyyyxzzzxxyzzyyxzzxzxyxyyxxzyzyzyyyyyxxzxyzzzyxxxxyyxyyzyxzzxyxxxyyzyxyzyxxzxyyxzzyyxxyyyyyyzyyxxyyxyxzyxyxxyyzxyxyyyyzxyyzyyzzzzzyyyzzxzxxxzxxzyxyzzzzxyzyxzxxzzzxzyyxxxyxyxzzxzyyyyzzxzxyyxzzzyzzxzxyxyyxxxxzzyxxzxyzxxyxzyyzyyyzzzzxxxzzxzxzxzxxyxyxyxyxzyzxyyxyyxyzyyzyxxxyyxxxyxxxzxxxyzzzyyxyxxzxzyzxxyzzyyyzzxxzyzxxyxxzyzyxzyzyzxxzzxyxxyyxzyxzxyzxyyyxyyxxyxyzyyzxzyxxyyyzxzxzyzzzyzxzzyzzxyxyyyyxzyxyyxzzxxzzzyxxxxyyyzzxzxzxxzzyyyxzzxxyzxyxzyzxzxyxzyyxyyyzyzxyxxyyyyyzzxxyxzyxxzxxyzxzzzzzzyyxxyyyzyxxzzxxxzzyyyzyxyyzxzzyxyyxxzzzxzzzyxxyzzzxyyzzzzxzyzxyzyyzxzyyxzyzzyxzyzzxyzyxxzyzzxxzyyxyxyyyzzxxyzzzxyyyxxyxxyxyzzzyxyzzyyyzyzzyzxzzyyzyxxzyxyyyzzyxzyyyzxyzyzyzyxzzzzzxxzzyxxxzzyyzyxzxyyzxxzyxyxzyxyxyxxxzzxzyyyxyyyyxyzyzxzyyxzyxzyzxxzyzyxzzxyxxxyyzyyxyzxzzyzzyxxyxyzzyzyxxyxyxxyyzyzzxxxzzzxyzzzxxxxyzzxxyyyyyxzxyxzyyxxyzxyxzzyxxyyyzyxzzyxzxxzzzxzyxxyzyzyxxzxxxzxyyzzxzxyxzzxzxzxzzyxyxxzyzzyzyyxyzxyxzzxxzzyxyzzyzyxxxzyxxxxxzxyzzyyzzxzzyxxxyxzxxzzzzyxyyxxxxzxyyzyzzyxxyxxzxyzyxyxyyxyxzxyzyzzzxzzyxzxzyzzyyzzxzyyxxzzxxyzxyxzyxyzyzzzxxxyyzzzxzyyzyyzxxyzyxzxyzzxzxyxxzxzzxzzzxyyyxxzyxyxzxyzxzyxzzxxxzyxxzxxyzxzzxyxzyyxxzzyxxxxzyxyyyzzxyzyxyxzyyyyxxxzzxzzzyxzyzxyyzyxzxyxxzxzxyyzyzxyxzxxxzxzyzyzxzxxzzyzyzxzzzyzzxxzyzxzzzyyxxxzyxzyyyyzzyxyyxzyzxxzyxzzyzxxyxyyyxzxyyxxzxxxxyxzyzzxyyxzzzxzxyxxzyxzxxzzyxzzxyxyxzxyzzzzxxxzyxzzxzxxyzyxyxxzxzxxxxzzyxzyyyxzyyxzzzyzyzzyyyzxzyyzyyxyzyyzzzzxzxyxxxxxxxzyyxxyyyxzzyyzzxxxyyyxzxzzzzxzxzxyxyzyyyxxxzyyxyyxyzxyxzxzyxyzzzxzzyzxxyzzyyyzzzyyxxzxyyxyzxxyzxxxxzzzzzzzxyxyxxzyzyyxzyzzyxyzxyxzxyzxzxxzyzzzyyzyzxzxzyyxzzyyxzxxxxxzzyyxxyyxyyyxxyzxyyzzxyxzzzzyyzzzxyzxzxzxzxxzzxyzzyyyxxyxxzyyyyyyyxyxxzxxzyzyyyyzxyzyxyyyxzxxzzzzyyyyyyzyyxxxxyyyzzzxzyxyxzyyxyzzxxxyzxzyzzzzxzyyzzyzzyyyxxxxzxyzzzyxxyzxyzzzzxyzzxxzyzyzyzzyxxxxyxyyzxyzxzyyxyyxyxyxxyzyzyzzyyzxzyzxxzyxzxzxzxxzyzzzxxyzzxzxxxxxyyzxxzzyxzzzxxzyzxzyyzzzzzyxzzxyxyyxyxyzyxyyzzyyzzzxzzyzxxxxzxzxxxyxzyyyzxxyyzzyxxzzxyxxzxzxzzzzzyyyyyzzzxzxxyxyxyyxxyyyzxyzyyxxyyyxxxzxxyyyxxzxxyxzxyxyzzyxxxyzxzyxxxxzyzzzzyxxzyxyxyxzzyzzyzxzzyyxxyzzxzzyxyxyxxxyzxxyxyzzyzzxzzxyzyzxzyzzzyyxxxxzzxyxzyzxzxzxxxyxzyyxzxzyxxxyyyxxxxyxzxxxyxxxyxzyxyyzzxxxzzyzzxzyyxyzyxyyyxyxxxyyzyxxyyyxyzzzxyxzyyzxzzxxzyzzyzzzxzyzxxzzyzxxzzxyxyxzyxxyxzyxxyyxxyyyzyzyxxyzyxxyyyxzyzxxyxxxyzxyzyzxyyxxzzyxxzyzzyxzzxxzzxzyzzzyzzxyxzyxyzxxxxyyxxyxxyxzyxzyyzzyyzyyxzxxzyxyzzxyzzyyxzzxzzyxzxxyyxyyxxyyzyyxzxyzzyxxxzyyyxyzzyzzyyxxzzyxxyzzzxxzxzzzyzxxzzzyyxyzyzyxyzxzyxxxyyyyzxyyyxzxzxyyyzyxxxxyzzxyzzxzzyzzxzzxyyxyyyyxxzyyxxzxxzzxxzxyxyzxzxzzyzyxyzyyyzzxyyxxyxzzyyxxzxzxyxxxzzxyxzyyzxxxxxxyzxyzxzxzzxyyzxxxzxyxzzyyyxzxyzxzzyxxyzyyxxxyyyzyyzyzyzxyzzzzxyxxxzxxzyyzzxyxzzzyzxyyxyzzyzxxzyxyzzxxyzzxxzxyzxyxzzxyxxzyzzzzzyzzzyyzzzxzzxxyzyyzyyxzxyxzzzyxyxxyyxyyzzxzyzyxzyzzzyxzxyxyxyzyxzzyyyzxzxyyyxyyzxzxxxyzxyzzxzxyyzzzzxyyxzzxxzxzyyzyyzzyzxxxzzzzyyxzxzxxzyzxxxzyzxxzzzxyyxzxzxzzzxyzzxxxyyxxyyzzxzxyzyyxxxyyyyzyzzyxxzzyzxxyzxzyyzzxyxzyzzzzxzyxyzxyzyzzyzyyzxyxyzyyxyyzyxzyyyzzxyyxyyyxzxyxxyxxyzzyyxxyxyyzyyzyxzyzzzzxxzxyyyyzzyyzyyxzxxzxzxzyzxzzzxzzzzzyyxzyxyyzxzzxyyxzxyyxzyzzxzzzyxyzzyzyzzxxxzzxxzzyyyxxzyyyyzyzxzxxzxzxzzxyzzyyxxxxyxyyzxxyyzyzzxzzyzyyzyxxzxzyyzzyxxzzzxxzzxyxzxyyzxzzxyyzyyzzxzxxzyyzzzzyyyzzzzyyzzzxxyxxzxyyyzyyzxzyxzyyxxzyyxxyxxyyzxyyyyxyxyzyxyxzzxzyzzzxyxyyxzyxzyxxyzxzzzyxzyzxxxzyxxyyzyxzxyxzyzxxxxyyzxyxyyyzzxzyzxxzyzyxxyyxzzzzyzxxxxyyzxzyzzyzzxzyzzzxyxxxyzyzxxyyzzzzxyyyzzyxzxzyzzzyzyyyxzxxxyxyyyxzzxyzzzzxzxzyzyxyxyxzxzxxxyyxyzzxxxzyyyyzyyxxxxxzzxzzxxxzzzzyzyxyyxxxzxzxzzzxxyzzyyzxyxyyzxyyzyyxzyzxzzyxxxzzyxzyyzyzxzxzxzxxxxxxyxxyzxzzxxxyzzxyyzxyzyyyyxxxzyzxzzxzxzyzzxyyzyzzxyyyzyzyyzzzzyzzzyyxxzyzzzxxxxzzzzyzxzyzyyzxxyyzyxyxzzyzzxyzxyzyxyyxxyxxyzzxxyzyyxxzxxzyzzyxxxxxyzzzxxxzyyyzyyxzyzzxxyxzzzzyyyyxzzyxyzxxyxxzxxyyxyxyyzxzyyzzyxzzxxxxxyzzyxzyzzxyxxxxyzyzxyzzxyzxxxzzyxzxyzxxzzxyyzxyzzyzzyxzyxxzxzyyyyzzyyzzxxzyxyxzzzxxxyzzzyzxxyzzxzyxxxxyxzzyxxzzxxyyyyzxxyyzyyzzyyyzzyzxyxzyzxzyxxyyyzxzzxxzxyyzzzxzzxyxyxyzyyyxxxxyxzyzzxxzzzzzxzxzzxxzzzyzyzxzzzxxxxxzzyzyzxzxyyxzxyxyxyxyzzzyyzxyxyxzzyzyxyyyyzxxyxzzyxxxxxxyzyzxyxyyxyzyyzxyyzxzxxyxxzzzyyyyxzxyyxyxyzyxxzzxyxxyyyyxyyxzxyzyyxxyzyxzxzxzzyzyzzxyyxzzzzxzyzzzyyzzzyxyyzyxyxzzxxzxyzxxyyzyyxxzyzxzxxzyyyzzzyyyyzzzzzxxyzyyxxzyxyzxyzxxyzxzzxyyzxxxxxyzzxyzyxxyyyyyxyxyxzzzzxzyyyyxxyyzzxxzyyyxzxzzyyyyxyxyzxyzzyxzxxzxzzyxzxxzzyxxyyxzxzyzyzyzzxyyyyxyzyzyxxzyzzxyxxyzxzyxzxzyxyxyzxzzxzyxzyzyzyzyxzyyxzzxxxxyzxyzyxxzxyyzzxyxyzzxxzyyxyzzyzxyzzzxxyzzzxxxzxyzyyzyzyyzxyxyyxzxyyzxxxzxxxxzyxzyyzyzzyyyyxyyzxzzyyzyzyxxxxzxyzzxzyxxxzxxzxxzyxyyyzzyyxzzxzzxzxxzzyyyxzzzxzyzyxzzzxzzxzyyxxxyzxzzzxzyzzzyzzzxxxxyyyyxxxxzyyzzxyzyzzxzxyyzzyzzyzzxzyzxyzyxzxyzxyyyyzxyyzzxzxxzzxyzyyyzzzyyxxxyyzzyxyxxxzyxyxxxyyxzxzyzzxyxzxxxxyyzyzxxyxyyxxyxzzyyxzyxzxyxzxyyyxyzxzxzxzzxxyyyxxzyzyyyzyxyyxyzxyyzzxxzzxyzyzyzyzzyzxzzzyzyyzyzzxyyxzyxyzzxxyyyzxxzxxyxxyzyxyyzxyxxxyxyzyyzzxxxxxyyxyxzxzxxyyxzxzxzyyxzxxyxzzxxyyxyxxzxxxyyxzxyzyyzzxyzyzzyxyxxxzxyyzzzzyyzzyyyzxzzxxyzxxxyzxyzxxzzxyzzyzzxxzxxxxzzxyyzxxyyyzzzyxyyzzzxzyyyzzyxyzxzzxxyxyyzzzxyzzyxxzxyxxzxxxzxzzxxzxxxzzyyxzxyyxzxxyxzxyxzzzxxxxzyzxxzxyyyyxxyyyzxxxzzxyxxyzyxxzzyzzyzzyyzxxyzyyyyyzyyxxzyxxxxzzzxxxyyyxzzxzyxzxyyxxyyxzxyxzxzzyzyzyxzzzzxyxyyyyxyyyyyyyxyxxzxyzxyzxzyzzyxxyzyyyxzyxyxxyzzyxzzxzyxxxyxxxzzyxyzyzxzzzyyyzyyxzxxzzyzxxyyyxyxyxyxyxxxxzxxxyzxxxxyzzyyyyyyyzyxxyyyxyyyzzxzxyxxxyxyzzyyzyyzyxyxzzzxyyxxxyyzxzxzyzyzxzzyyxzyxxxyyzyxzxyyzyzzyzxyxzxzxxzxyyxzzzyyyzxyzxyzxyyxxyzyyxzyzyyyyyzxyzzxyzxxxxxyyxzxxyxxyzyxzzzyyyzxzyyxxzxyzzyxyxxxzzxxxzzyxxzyxzyyzzxyxzyxyxyxxxyyyzyxyxzyxyxyxxzyxyyzyxzzxxyzyyzzyyzzyyyzxxyzzzzyyyyyyyyzyxzxyzzyzxzyyzzyyyzyzyyxzzxxyxxxxzxzyxxzyxxzxxzxyzxxzyyxxxzyxxyxxzyzyxyzzzxyxxzzzyxzzzzxxzxzxzzxyzzxxzxxxyxyyzyxzyyxxxxzzyzxyzxzzzzyzyxyxxyyyxzyyxyxxxxzyzyxzxzyyyxxxzxyyxxxxyzyzzzyzyzyxxyzyyxxyyyxyzyxzxyzxyyxzyzyzzxzxyzyzxzzyzyyyyyzxzzyzxzyxyxzyxzxyxyxzzzzxzxxxyyxxzxyyzyyyxxzxyyxzzxxzxzxzyzyzzzxzzzyyxxyxzzyzyxzxxyyyxzyzzyxxzxxyyzyyxxyxyxyzzzxyxxxyyyzxyzyyzxxyxxzzyzyzzxxxzzzxzyyxzzxyyzyyxxzyyxxyyzxxyzxxxxxyzyzxzyyzxxxyzyxzzzyzxyxyzzyzyzyyxxzxzyyyyxxyxxzzzyzxzzyxzxzyzzzxxyzzxzyxyxzxxyyyzxyyzyxxzzzxzxzxxyyxxyxzzyzyzxzxzxyxzxxyyyyxyyyzyzyzzxzzzyyyxxyyzxzyyzxzxxzxxzyxxxzyzyyzyyxyyxzzxxyxzyyyyyxzxxzyyzxxzzzzxzzyyyyzzxyyxzxxxyxyyyyxxxzyzzzyzxxxyxyzzzzxxxzxyyzyyyzxxxyxxzzzzzyzyyyzyyyyzzzyyyzyyzyxxzyyyzxzyxzyyzxyyyxyyzzxzxyxxyxzxyyzzzxzzyxxzxxxyxzzzxxzxzyzzyzzyxxzyxzzzzxzyxzyxxzzxzyyyyxxyxxxyxyzyxzxyxxxzzxyzxxyzyzxxxxzyxyzyyzyxzyyyyzyxyxzzxxzzzxyyxxzxzyyxyzyyxyxyzzxyyyzxyyxzzyzzzyzxyzzzzzzxxyyyxxxxxyxyzyzxxxxxzzzzzxyzyxxyzzyxxyzxyyxyyzyxxyzyxxzxzzyyxxzxzzyxyzxyyzxzzzxyzxxzyyzxxxzzyzzyxxxyyyyyyyxxzxzyxzxxyzzyzxzyyxxzzxyyxxxxxyxyzyzyxzyzzxyyzyxyyyzxxzxyyyzzxzyxxzzyxyzzyyzzzxzxxzyzyzyyzzxyyyyyzxzxyyzzzxxzxzzzzyzzxxyxzyyzzzzzxxzxzzxzxyzyxyzxzzxxxyyxyyzxzzzzzzyyzxxyxyzzyzxxxzyxxyxzyxxzxyxzxxyxxxxxzzzyxzyzyyyxxzyxyyzxzyyyxxzxzyzyyyyzzzzxzxyzxxyxyxyzxzyzxxyzxxyyxxxzzxxxyyxzxyzxzxxyyxyxzyyyzzzyzxyxyyzyzxzyxzzxzzzyxzzzyxyyzzzyxyyxxzxxzyxyyyzxzyxyxyyyyxxzxxyxyxzzyxyxzyyzyyyyyyyzzzyyyzyyxxyzyzzyxxzyzzzzzzxyzxxzzxxyxxzzxyyxyzyzxyxxxxzxyxyyyyxzyzzxxzyyxxyzyzxxyxxxzzzzxyzyyyxyyyyxyzzzzxxxxyxxzzxyzyzxxzzzzxzyyxyyyyzyyxxyzzxxzyxzyzzxzzxyyxxzzyzxzxyxxxyxyxyxxyyzxxyyxyyzyyzxxxzzyxxxyyyxyyxzxxzxxxyxyzyxyxxzyzzyyzzxzxzxxyxyxzxzyyxyxxzxyxyxxxxxzyyyxzyyzzxxyxxzyzzxyxxxyzzzyyyyzyxxxyxyyyyzxzyxxyyyyyyxyzyzyzxyyxzyzxxxxyyxyzzzyyyzxyyyyzzxxxxzyxxzyzzzyxzzzxyxxzyxxzzyxxxxyxzzyyxzxxxzxyyzxxzzzxyzxxzzzxyyzyyyzzzxyyxxzxyyyzyyyzyyzxzzzzzxxzxxxzxyxzyzxyyyxzzzzzxxyyzxyxxzyzxzzxyzyzzyzxxxzyzyyxzzyzzzyzzzyzzzyzyyyyyxyzyyxzzzyxxyxzzyxxyxxzxzxzxyyxzxzxxzzzyzzxzyyxyxyyyzzzyyyxyzyyzzzzxxzxyyzyzyyzxyzyzyxzxxzyxyzyzzzzzxxyyyxzyzyyyxzzyxzzyxyzxxzyxxzzzyzyxxxxzzzzxyxzyyxxyzxxxyyxxzyzzxyyzxzzyzzyxyzxzyyyyzzxzyzzzyzzzxyzxzxxzyzzyxyyxxzyzyxzyxzyyxzzyzxyyzyxxyzxxyyxyzxzzyzxyzzzxzxzyzxzxzxxzzyzxxzzxxxzxxxzzxyyxyyxxxyxyzxyyxzxzyxxxxxyzyyxyxxxxzxzzyxzxzxzyyxxzxxzxzyxxyxyyyzxzxxyxyxzxzzzxxyyyzxxxzxyyxyyxyzyyxzzxzxyxyxzxyxxxzxyxyyzzxxyyzxzyxzyxxyxyyyxxyxyyxzzyzyxxzyzyxzzyyyzzyzxyxzxzxxxyzyyyxyxzyzzzxxzzzyxyyzzyxxzxzxxxxyzxyyxyxxzyzxzxxzxyzzyxzyxzxxxxyxyzxyxyxxxyzyxzxyxzzyzzyxxyxzzzxyzzyxzyyzyzxyyxxzxzzyxyyxyxzzyxyxzzzyxxxzzzzxzyyxxxyzyyyxzzxyyzzyyzyzxyyzzzyyzzyzzzzxxzyyyzyxxzxzxxxyyxzxxxzzyyzxxzxyzzzxxyzyxxzxzxzyzxxxzzzzxyyyxxzzzyzyxyxzyxxyxxxxyyxxzxzyxyzxyxyxxzxyyzzyzyyxxzxxyxxyxzxyzyzxyxxxyyzxzxxxxxzyzzyyzzyxxxxzxyyxyxxzyzyzzzxzyxxzyzyyzzzzxxxzzyxxyyzxyzzyyyxxxzxyyzzzyzzxxzxzxxzxxzxzyyzzzzzzzyxyzyzyxyzxzzzxzzxzyzxxzyzzzxyxyxzzzyyzzxyyxyzyzzxzzzzzyzyyyzyyxyyyxyzxxyzxxyzyzxxxyzxzyzxzyxzzyxxyxxzxzxzzzxzxxyzyxzxxzyxzxxyzxxzxzzxxxyxzyzyzzxyzyzyyzzzyxyxyyzxzzxyxyyxyyzxzxzyyxyyzxyyzyzxxxzzxxyyzxyyyxyxzyxxyzyyyzzzxxyyxyxyzzyzxzxxxxyyzxxzzxyzxzxyxzzyyzyxyyxxzxxyxzzxxxzzxxxyxyxxyyzzxyyzxxzyzzyxxxyyxxzzxyyxxyzxxzxzyzxzxxxzxzxyzzzyxzyzzzxzyxzzzyxxxzzzxxzxyxxyzyzzzzzxzzyzyxxyzzzzyzyzxzxyyxxzxxxyxzzyxyxxxxzxzyzxyxyzzzzzxzyxyyzyxzzzxyxzxxxzzxzzzyzxyzyyzxzxyyxyzyzxyzyzyzyzzyzyyyxyzyzzxyzyyzxzyxzzyxzzyyzyxyzxzyyyyyzyzzxzzzyzxxyzxyzyzzxxzxxzxyyyyzyyzzyzyxzyxzxzxxxzyxxzzyxyxzzzzxyxxyzzxyzxxxxzzzzzzxyxyxxzyxyzxzyzxzyyzzyzyyxzzyzxxxxzyxxzxyxzzyzxxxzyzyyyyzzxyxxyxyzzzxyyxzyyxzxyxxxyzyxxxyxyzxyyzxzzzxyxyxzxzxzzxzyxzxxzxxzzzyzxzxxxxzzyzxxzzxyxyyzzyxxyyxzzyyyxxyzxzyyzzyzxzxxxxxxxzxzxxxyxzxzzyyzxzzyyzyzzzyyzzyyzzyzzzxxxxzzzzyxyzyzxxzzxzyzzzyyzzzyzyzxzxzzyyxyxyzzzyxzxyzxyxyyxyyxzzxxzyyzxxyyxyxxyyyxzxzyxzyyzxxyxxxyzyzyyyzzzxyzxzyxyxyxxxzyxzxzxzyzxyxxzyyyyxyxxzxzxzxyxxzzyyzyyzzxxyyzzzzzyxxyzyyxzyxzxyzzxyxzxxzyyxxzzyzyxzxxzyzzxyyzxxzyyzyyzxzyyyyyzyyyzxzyxxyyxxxyxzyxyyxxyyxyzxxzzzyzyyzzzxyzxyxzyxzyxxzzxyzxzzyxxzzxyyzxzyxyyxzxxzzyyzzyyzxzxzxzyyzzyzxzzxyyzxxyxzyxxyyzxyyzyyxzyxyyyzzxyyzyxxyxyxyyzxxzxzyyzxxxzyzyxzyzxyyyxzxyyxyzzzyyzzxzzyzxzyxxyyyzyyzyzxyyxzyyxzyzxyxyzyyzxyxzzzzzxzyxyxxxxyxxyyzyzxzxxyzzyyzyxyxyyyzyyyzyyyzzzzyxzyzyxyxyzxxxzyyyyyzyzyzzxyxzxzyxxxzzzzyxzzxzxzzxxxzxyzxxyzyyzzzzyzyyyyxyxzxxyxyzyzxzyzxxxzxxyyzzyzzxyzxzxzxzxxyxxxzxxyyzyyzxyzyzzzyzyxyyyzxxzyyzzzyyzyyyxxzxzxzyyyxxxyzyzxxyxzxzzxxxyzzxyzxyxzxyyzzxzzyzxzxxzyxxyyxxyxxyyxxyzxyxxyxyzxzxxxxxxzzzzyxyyxzyzxzzzzyxzyzzzxxxzxzyyyxxzyyxzzxxzzxyyxxyyzxzyzyzxxxyzxzzxzzyyxzzzxyyzxyxyyxzxzzyzzyzzxxxzzxxyyyzzyxyxxxyzzxxyyyxzyxxzyxxyzzxyyzyzxyyxzyxyxxyxxzyzyzxyzxxxxzzxyzxxzxyxyxyyyyxyxyyxyyzyyyyxyxxxyyyxxxxxxzzzxxzzzxxyyzyxyzzxxxyxxxyyxyyzzxxzyxyzzxzyyyxyyzzyzyzzxxzxzyyzyzyyyzzyyyyzzxzzxxxzyxxzxxyyzxyxyzzzyyxzxzzyxyxyzxxyxyxxyzyxzyxzxzzxxyyyzyyxxyxzyzxyxzyxyxxzxyxzyxxxxyzzzxyzzzzxxyzyxxxzxzyzzxyxxyyyyxxyyxxzzyyyyyxzzyyxxzyxxzyzzzyzxxxxyxyxxyxxzyxzzyzzyzyzxxzxzyyyzxyyzyyxzzzyzzxyxzzyyyzyxyyxyxyzzzyxyzzxxzxxzzyyzzzyyyzzyyyyzyzyyxzxxyxxyyxxyyxxxzzxyzxzzzxyxyxzzxxyyyxzyxxzyxyzzzyzyzzzyzxxyyzyzzzxyzxzzzzxyxxxzyzyxzyyzyyxxyyyxzxyzxxzzyxzyyzzzxxzzxzyxyyzxzzzxxyzzzzxzzxzyyzzzyxyzyzzxxyyzzzxxyyzyxzxzyyyzzzxxxzyzxzzyzyyxxzxzzyxyxxyxxxzxxzzyzxzyyxzxxzzyzxyzyyxxzyzzyxxxzxzxzxzxyxyzxzzxyxxzzxxxyxzyxxyzyxzxzxzyzzzyyxxxxzzxzzzzyxyxxyzzyzyyzxyxxzzxzzyxxyzyzzxzzxyzyzxzyxyzyyzxxxxzzzxxyyyzyzzyyzzyzzxyzxyzxyxyyzyyxzyzyzzxzxxyxzxzzzzzzyzyxxxzzzxyxzzzzzyzxzxzxyxyxxyxzzyzzzzyxyzxxyzzzzxyxyzxyyyxxxzxxyxxxyzzyxzxxzyzyzyyyzzzyzzzxxzzxyyyxxxxyyzxzzxzyzyxzxyyzxyxzxxzzxzxyzzzzxyyyxzzyxzyyyyyxyxxxxzxzzyzxzxzzxxyzzyxyxzxyzxzyyzyyxxzyzzzxyyxzxzxzzzzxzyzxyxyxyzzxzzzzzzzxzxzxyyxxxzyzxzzzzyyzyxxxzxzzyzxzzzyzxxzxxyxyxzyzyzxyzzyzyyxyyyyzzyxxzyxzzxyyzxzxzyyxyyyzzxxzxxzzxyyzxxxzxyzxyyzxxyyzyyzyyzzyxxzxxyzxzxyyxxyyyyzyyzyzxxzxyxxxzxzzzzyxyyzyyzyxyxyxzzxyxzzxzzxxxzxzzyyxzyxyzzxxzzyzzxxyxxxxyxzzxxzyzyxyzxzxzyyyxxzxxxyyyxxxyzxxxzzxxyzzxxxxxxzzxyyzyzyyyyzyyzyyxyxzzzyzyxxxxxxyxxzxyyzyzyzxyyyxxzzzzxyxzzxyyzzzxzxyxxxzyyxyyzzyxyxyzzyxyzxxzyyyxzxxzzxyzxyzxzyxzyyxxyzzzyyzxyyyzyxyyxzxxyzxxyxyyyxyxxzyzxzxyyzyzzzzzzxxxyzyzzyxyzxzxyyzzyxyyxzyxzzxyzyxyxxzxyzzxxxxyyxzxzyyxxzzyyzxzyxxxyxzyxyxzxyyxyyyyyzxzzzxxyxzxzxxxyzzzyzxzyxyxyxyxxzyzzyzyzzxzyxxyzxxzxxyyxyzyxyzxzxzzxxzzyzzxyxxzzzxxzyyyxxxyyyxyyzxxzzzxxxxyzyyxxxzxyyyzyyyyxzyxxxyzzxxzxyxxyzyzyxxzzzxzzzyxyzzzxxyxzzzzyzzxzxzxxzzxyxyyyyyxyyzzxxyzxxyyxzzxxzyyzyzzyzxyyyzxzxxyyxzzxxyzzyyyxzyyxyyzyzyzyyyzxyzzxyxzyxzyyyxyzxxyzyzyxzxyxxxzzyyyxyyxzzyyzyyxzyyyzxzyxxzyxxxyyyzxxzyyzyxzyxyxxxzyzyzxyyzxyyxzxzzxxyxzyyxyzxxyyxzzxzxyxxyyzzzyzxzyyyyyyzzzxxxxyyxzzzxzyzxzyxxzzyzyxxzxzzyyyyzyzyxxzyxxyyyzxzxyzyyxxzxxzyzzzxxyzzxyyzzzzxzyzzxxyxzzxzxyzxyxxxxyyyyyzxxxyzyzzzxyzxxxyyyyxzyzxyyyzzyzyzyyxzyyzyyyzzxzzxzzyxxzzyxxzzzxyyzzxxzyyzxyxzxxyxzzzxxxzyxxzyzyxxxxzxxxzxzyyxzzzzyxxyzxyzxyyxzyyyyzxzzzxyzzyzxxzxyyyzyyzyyyzzzxyzyzyxyyxzzzyyyyyyxyyxyzzxyyxzxyzxyzyyyzyxxzxyxyzyxyyzzzyyyxzxxxyzzzxzzyxxzzxyzzzyyyzxzyxyzyxxyyzyzxzzzzzxzyzxxzzzyzxzzxyyzyxyxyyzyzzzxzxxxyzyyzzzzzyxyyxzxzzxyxyzyxxxyzzzxxxzyyxyyxyyyzxxxxxzxyxxyxyzyyxxzxxzxzyyyzyzzyyyzxxzyyzxyzyzxyxyxyxxyyzzzxxyxxzxxzxxzyzzyzxzzxyyyzzzyxzyyyyyyyyzxzzyxzxyzxzzyyyzyxxyyxxyxzxyzzxzxzyzzyyyzyzxxzyyyzzzyzzyzzxzzyyxzzyyyzxxxyzxzyzxzzyxzxxxxyxzyyyyzzxxzxzyxzxyzyxzyxxzzyzzyyxyyxxxxzzxzyyzzxyzzzzzzxyyyyzyxxzzzxzxxxyyxyxzzzzxyyxxyyxzyyzzxzyyxyxzyyyxxzyyyxxzxzyzxxyxzyzyzxzyyzxyzzxzzyzyyxzxyyzzyyyxxyzyzxxxxxyyyxzzyxyyyyyxxzxyxyzxyyzzyxzxyzxzzzzyxzyxyzyzxxyxxxxzxxyyzxyzzyyyyzxzyyxzyzxxyzyzzzxxyxxyxzzxzzxzxzyyxxxxyyxxyyyyxxzzxyzxzzxyzzxxzzzyzxyzzyyzxzyzyyxxyyyzzzxzzxxxxzxyyyyzxzyyyzyyzzzyyxzzyyxzxyzzzxzxxxyxzyxzyyxyyyyyyyyyyxxxxzyyxxzzyzxxyyxyxzxzyxxxyzzxyxxyzzyyyzzzxxyyzyzxyyxxxzxzxzxzyxzxzyxyzzzyxyxxzyzyxxxzxxyxzzxzzzxzxzxzzyzzxxxyzyzzxyzyzxzzyyyxzzzyxxxyyxzzxzyxzxyyxxyxyzyzzyzzyyzzxzzzzyzzyxyzxzxzxyxzxyxxxzxxyyyyyyzxzyzzzyxyxzyzzyxyxxzzxzxxxzxyxxxxyyzyzzxxyxxyxyyxzzyyyzyxzxyyxxyzzzxxxyxxyzyyxyyyzxyxyxzzzzyzxyxxzzyzzzxxzyyzxzxzzyzxyyzyxyxzxxzxxzzxyzzxxxzyzzzxxyxxzzzyzzxzxxyxxzyxxxxyxyyzyyyzxxyxzyyzyxzzyxxxxzxyxxyyzxzyzxxzxyxyyyzyyxzzzzxzxzxyyyyzzxzxyzzzyxxxyzyxxzyyxxzxxzyyxzxzxxxxyzzxzzxyzzxzzyzxyyyxxxxxzzxyxzyyzxyxzyxxxzzxzyxzyxzzzyyyyxxzzxxyxxzzyzxyxzyyyxxyxzyyzyyyyzyyzzzxyzzxxxyyxxyxzyxzyyyzzyxxxyzyyxzzyyyxzxyzyyyyyxzzzzyxyzzxxxzyzzyzyzxzzyyyyyxyxzxzzxzxyzxzyyxzxzyzyyyyzxyyyxzxzyzzxyzyxxxzyzzyyxyyxzxyyxyyyyzyzxxzxzxxxyxyyyxzzzzxyxzxyyxzxzzxxxyxyyxxyxyxyxyyyxyyxyyzzxyzzxxzzxxyxyyyyzyxyxyxyzyxzyyxxzxxyyzzyzzyzyxyyxyxyyzyxzzzyyzxzyzxyyxyxyzzzzxzyxyyyxyzxzxyzzzzxxyzyyzzxxyyzzzxxxzzzzzyyxzzzyyxxxxzxxzyxyyzxyzzyyyyyyyyyyyxzxxyxyzzyyyzyyxyzyxxzxyxxyyxzyzyzzzyzzxyzxyzyyxzxzyyxxyzzzyzxzxzzzxyxxyxzyzyzzxyzzyzyzyyzyyyzyxxyzyzxyxyzxyzxxyzzyzxxyzyzyyxzyxxxzxxyyzyzzyxzyxyzzxxxyyzxzzxyxxxzyxzzzyzyyzyyxzxzxyzyyyyyxyyzyxzzyzyzzyzzyzxyzyxyxyxzyzyzzzxzyzyzyzzxzyxzyzxzzyyzzzyxxxxzxyyxxxyzyyyxyyxyzzyzxxyzzzzyxxyyzzzxzyyyzyxxyyxzyyyzzzzxzxxzzxzzxxyxxxzyzyxyxzzzzxyzxxzyxzyyzxxzzxxxzyyzxyyzyyzyxxyxxyxzyzxzzxxyxyyxxzzyzxxzyyxyyzyyxzzzyzxzyzyyxzzxyzxzxxxyxxyzzxxyzxzxzzyxyxxyzyzyzxzyxyxyzzyyyzxyzxzzzxxyxzxyzyxyyxyyzxxxzxxzyxzyxyxyyzxxxzzxzzyyyzxxzxxxyzzyzzzxyyyzzyxyxyxxzxyxzzxxzzyyyzzzyzyyzxxzzzzyxzzyxxxzxxyxyzyyxyyzzxxyzxzyyxyyyxyxzxyyxxyyzyyxyyyyyyyyxxyxxzyyyyzzzzyxyyyyxxzxxxxxzxxyyyyyzyyyzxzzzyyzxzzyzxzxzzxzxzyxxyzyyxyzzyxxzyzyxzzxzzzyxxyzyyyxxyxzyyxzzxyxxzzxzxyxzzyzxzyzxyzyzzyzxxxyyzyzzxyzxyxzxyyyyzxzxxzzyyyxzyxxyxzxxxxyzxxxzyxyzyyzzzyyxzzyzyyyyzxxxxxxxyzyzzzzxzxyxzzyyzyyzzzzzyxxzxzyyxyyxyzyzzzzzzxzyyzxyyyxzxzzzyxyzzzzzyxyzzxzzzzzxyxzxzyyzyyyzzxyxzxzxxzzzyxzxzxxzxyyxyzyxxzzxyzxyzyzzzyzyxzyyyxzxzyxzyzyxzxzxxxzxzxyxyyxzzyxxzyzzxzyxxxzxyxxxxyxyzxzxxzyxzzxzzyxyzzxyyxzxxyxzzxzzxzyzyyyyxyzzzzzzzzzxzxxzyxzzyxxzzyxyzyxxzxxyxzzxxzxxzzzzyyyzzxyxzxxxyzzyyzyyxzxyyxzzyzzyzxzzzxzyzzyxzyyyzyzxxzzxzzzxyzxxzxzxyyzxyzxyzxzzyzyxyyyxyyzzxxyyzxyzyyzzzxxyyyzzzyxxyyzxzzxzzxxyzyxzzxxyxyyxxxzyyzzzxxxzyxxzzxzxyxzyxxyxxzyzyxzyxzxxxzyyyxyyyxxyxyyzyyyyyzxyxzzxyyxyzzzxyxxzyxzxyxyzyyxzyyzzyxyxxxxzyxyyyyyxyzzxyzzzxyyxzzzyxxyyyxxzyyzyxxyxxxzyyzxxyxxyxzyxxyzxyyyxzyxxzxyxyyyyzxxxzxxzxzzxyyxzxzyyxyyxzyzzyzyzyyzxyxzxxzzyzxyxzxzzzzyxyzxzxyxxyzyyzyyxzxzyxyzzxzyxzxyxxyyyzyyyyzyxyxxzyzxyxzzzyyxyyyxzyyxzxyzzyzyxzzxzyyyxxxxyzyxxzyyxyxxyzyzyxyxxzzzyxzxxyzyzyzxzyzxyxxyzzxyxyxzzzyzzyzzyxyyzzyyxzyzxyyxyxzyxxyzyyzxyxyzyxxxxzzzyyxxxyyyyyxxzzzxxyzzyzzzxzzyyxzxxzxyxyyzxzzyzyyyyyyyyyxzzxxzzxxzzyyxzxxyxyzzyzxxyxyzyyzzzxzzyzyyzyyxxyzyxyyzyzyzzxxzxzxxzzzyzyxzzzzyyyyyyzzyzxzyxzxxzyxyxyxyyzzyxzyxzyyzyzyzyxyzxyxyxzyzxzyzxyzzzxxyzzxxxyyyyyxzzxxzxxzzyzyxzzyzzzxyyzxxzxzyyxyyzzyxzzxyyxyxyxzxxzzzxyxxxxzyyxzxzxxxxxxxxyyxxyyzyzzzxzzzxyxxzxzxxyxzyzxxzxzzyzzyxyzxzxxyxxyxyyxzzyxzyxzyzxyyxxzzxxxxzyyzzzzyxzyxxyzyyxzzyyxxxzzyxxzxyyzzzyxxxxyzxyzyyyzzyzyyxxyyyyxyzyzyzyxyxyxyzzzxxzyzzyzyzyzxyxxzyyyyxyyyzyzyzxxxyxzxzxxzyxzzyyyxzxxxxyzzyzzyzxxzyxyyyzyyzxzxyyyzxyzyyyxyxyzyzyzzzyyxzxxzzxxyzzxyyxzxxzxyxzzzzzyzxzxzzzxzzzzyxyxzzyzyzxzzxzzyxzxyxxyxxxzzxxzxyxzyzxzxxxyxyxzzzzyyyzzyzyxyyyxyyxzxyzyyyyzzzzyzyyyzzzzzzzxzzxyyyzxyyxyyzxxyyyyzzzyyyxyxzyzzyzxzyzzyzxzyyyxzxyxyzxzyyzyyzyxzyyyxzxxzyyxyzxyzxxzzzzxzzzzzyxyxzxyyxzxxxyyyxzzxxxxyyxyxzxzzyzzyyyzyxyyxyzyzxxzxxyyyyyxyyzzzyyzxzxzyzzzyzzyzxxxxzyyxzxyxzyzzyyzzxyyyzxxxxyyzzxxyyzyzzyzxxxxyyxzxzyyyyxzxyzyzyzzxzxzzyzzxxyxzyyyxxzxyzyxzyzxxxxxzzxzzyyyyzyxzzxxyyxzxyxyyyxyzyyxxxzxzxyzxyyzxyzyxxyyxyzzxyxyyyyxxyzxyyyzzzyyzxyyyzxyxxxzxzzyzyxxyzzzxyzyxyxxyxyyxxzzyzyyxzyyxzxyyxyzzyxyyzyxyxxyxyyxyzzyxzyzyxxxyzyxxxyxxxxzzxyzxzyxxyzzxxyxxyxzxzzzzyyyzxyzzyyxxxxyzzyzyxxzyxzyxyzzyyzyzzzxxzxzyyxxxzxxxzxzyxzzzzyzxzzzyxxyxyxyyxyzyxyzzzxyzyyzxzyyxzzzyxzyzxxxxyyzxyyyzxyyxxyyyyyxyxxzxzzyzxzxxxyyzyzxzzxzyyxyyxxyzyxyyzxzyyyxxxzyyxxzxyzxyzyzxzxxzzzyxzyxxxxzxyxyzyyyzxxyxyxxyyzxyxyxzzzxxyzyzxyzxxyzyzxxzzxzzxyxxzzyzxyzxyxxyzzxyyxyxzzzxxxzyxyzzyyzzyyxxxzxyxyzxxzxxyzyyxyxzyxxxxyxyzxzzyxyxzzxxyxzxzzxyzzyxzxzyzyyxyyxzyxyyzyyzyyxzxxyzzzzzyzzzxzzzyzzxyzzxyzxxzzxyyxyzyzxyzyzyxyxyxzxzzzzzzxxxxxzxyxxzzxzzxxyxzyzxzyyyxyyxzyzzxyxxyyyyzxxxyzzyyzyyyxyyzzyzyyyxzyxzxzzxxzzxyyyyyzzxxzyxzyzyyxxyyyzzzzxyxxxyyzyzxyxzzxyyxzyxzyyzzzzxzyxxxzyxyxxyxzyxzxyzyyxzxzyxyzyyxzzyyyxzzyxxyzxxxzxzxxzyzzzyzxyyzxzyzzxyzyyyzzzxzyyzxzyyyyxyxyxxzyzzzxyzyxxxxxxzzxzzyyzyyxyxyxxzxxzyxzxzzxxzzzxyzxzyxyxzxyxxyyzzzxyxzxyyxxyyxxzxzxzyzzzxxyyzyyxyzyzyzzzyxzyyxzyyyzyyxyyyyxyxyzyyxzxyxyyzyzxyzyzyzyxzxyzxyxyyxzzzyyzxyyxxyzzzxxzyyyxyzxzyyyzzyzxzzyyxyyzxxxzzyzxxyyyzyxyxyxzyzzxzzxxxzxzxxzyzyyxzzzxxzzxzxyxxxxzzzxxxxxzzxzyzyyxzxyxyxzyxxyzxyzzxyxyyxxzzxyyxyyzxyxyzzzyyyzzzyyyzxyzxxyyyxzzzxxzxyxxyyzxxyyzyyxyzyzyyyyxyxxyzzzyyxyxxyyzzxzyzxzzxzzzzzxyxzzzzyyxxzxzzxyxzyyyyxxyzzzzyzzxzyxzyxyxzxxyzyyzxxyxxyyyyxyyzxzyyxyzxyyxxxxxzzxxyzzyyzxzzxyxyzzxzyyzxyzxyxyzxyxzyyyzzxyzzxzxxyyzxyxyxyyxzzxzyzzzyyxzyxzzyxxyxyyyxyyxxzzzyyxzyzzxxyxzyyyyyxxzzzyxzzzxzxzyyyzxyxzyxzyzzyyxyzzzxyyyxyyzyxyzxyxxxxyxzxzyxxyyxxxxxxyzyxzxzyzzxzxyzzxxyyyyyyxxxzxzxzyyzyyyxxzzyyzzxzyxzyxxxyxzyxyzyzxxzzxzyzyyzzxyyyxzxzxzzxyxzzzxxyxzxxxzzyzzzyzxxyxxxyzxyxyzxyzzxxzyyxyyzzxyxxzzxxxzzxzyxzxzxzzyyyzyxyyxxyyxxxxzyyxxxzzxyxyyyzyzyyyyyzxxxyyxyyyyyyyzzxzyyyyzyyzzxxzyxxxzxyzzzyzyxzzzyzyyzyyzzyxxyxyxxzzyxzxzxxxzyxxyyzyyxzzzzzyzzyzzxyyzxzyzxyxyxzyxzxzzzzzzxzzxzzyxyzzxyzzyxxzzxyxyyyxxzyzxzxzzzxxzyzyyxyyxzzxyyyxyzxxxyxyxyxzxxzxzzzxyxxyzzyxxxxxzyxxyxzxzzxyzxyzyzzyxyzyxyzxyxyyxyxyxyzyyyzxxyxyyzzxyzyxyzyzzxxyyyyxxxxxzyxyxzyzxzyxxxyxxzzyyyyxxyzxyzzyyzxyzyxxyxzyzxxzyzxxzxxyxxxzxxyyzyxzyyyzyzyzxxyxyyzzzyxyyxxyyxzxxyzyyzxzzxyxyxzyyzyxxxzzzzyyyxyyzyxxyzzzxyyyxyxxzyyzzxzxxyzxzxyxyyzyxyyyyxxyyyzxzxzzxxxxyzxzyxzzxzzxzxzxyyzyzzyzxxzzzxyyzyzyxzyyyzyzyyzyxxzxxyzzxxxyzzxxxxyzyxxyzxzzzxxxzzxxyxzzyxzxyzzxxzxxxxzzxyzyzxzzxzzzzzxxyzzzyxyxzzyzxxyyyyzxzzzyyxxzyxxxyzxyyyyxzyyzxzxyxyxzyzyxzyxyzzzzxyxzzxzyzzzzyyxyyzxxxyyxzyyxyzyzyyyyyyzyxyxyxyzzyyyxyxyzzyyzxyyyzxzzzyzyzxyxzxzyxxxxyzzxyxxyzyxxzyxyzzzzyzxxxzyxxzzzzyyyyyyzzxzxyyyxzxzzzyyxzxyxyzyzxxzyxyxxxyzzzxxyxxyzyxyxzxxzxzzzyyxyxyzzzzzxzyxxyxyyxzzzyyyxzxxxzxxxxxxxzzyzyzxyxyyzxxxyxzxzyyzzyyyzyzxxxyyyxyzzzyyyzzzxzyyxxzzxzzzxzyxyxzxzzyxzxzzxxyyyxyxxyxzzxyzxyyxzxyyyyzxxyxzzyxxxzzzzxxxxyyzyxxyxxzzxyzxxyxyxyzxyyyyzxxyyxxxxxxzzxxxyzxzzzzxxyxxxxxxyxyyzzxxyyzzxyxzxxyyyyzzxzzyxzyyyyzzyyyzyyyzyyxyxxyyxzxzxzxyzzxzxzzyxxzzxxxyzyyzxyyzyyyzxxzxzzzzzxzzzxyyzzzzyxzyzxxxzzzxxzyxyzxxyzyxzzyyyyzzyxxyzzzxyyyyxyyyxxzxxyxyzyzyyxxxxxxxzxzyzzyxxzzyzyzyzxyxxxxzyyxxyxxzzyzxyxzzzyxxzzxyzzyzxyzxzzyzxxzzyyxxzyxyzyyzxyxzzyxyyyzzzzzxxzyyyyzxxyyzxzyxxxxzxxxzyxxyyxxzyxyxxxzzyxzxyyyxxzyxzyyyyzxxxyyzxxyyxyxxzxzyxzyxzxyxyzyxzxzzyzyyxyyzyzyxyzyyyyxyyxyxyyxxxyyyyzyxyzyzzzxyzzyyxzzyzxxyzzxzzzxzzxxxyzzyyzxyzzxzxyyyzxxxyzyyyyxxzzyzzyzyyxyzyzzzyzyyyzxzxzyyxyyxyxzyzyyzzzzyxyzzyyyyzxzxzyyzyxxzyyzzyzxxzxzyyyxzxzzyyzyxyzzyxyzyyxxyxxxyzxzzzzzyyyxzyzyyxyxzzxxzzzzzxyyzzxxzzzzzxyxyxxxxxzzyyxzxxyyxzzzxxzxxyzxzyxxxxxyzzxyxzyxzxzzyxxzxxxzxxyyyyzzyxxzxzyyxxxzxzyxzzzxyxyxzzxyxzxxzyyxxzyzxxzyzzyxzzxxxxxzzyzzzxxxyzzyxxzzzxzyzzyxzyxxxzxzyxzxzxxzxzzyxxzxyzxzzzxxzyxyyzzzxyzxyzzyxxxxyyyxzxxxxxyyzyxzxzyzzzzzzzxzyyzxxyzzxzxxyzxzxzxzyyzzxyxyyzyxyxyyxzzxyyyxxxxyxyxzxyxyyzzxxxxxyzxxxzyzxzxzyzyyzyyyxxxzzzyzxzxzzxzzxzzzzyxxzyzyyxxxzyzyxxxxyyyxyzxyxxzxzyxyxxzzxyxzxxxyzyxzyxzxxzzyzxyyyyzyyyxyxxxyyyzyzxxzyzyzxyxxxxyzzyyyyzzxxyzxzxzxzxzzzzzzzzxzyyyzyzzxxxyzyzzzxyyzxyxzxzzzyzzxxyyyxyzzzxyzyzyyxxzyzzyyzzyyxyxyyxxzyzzzyyyyyzxxzyyzzxyxyxyxxyyxyyyzxzxyyyyyyxzxxzzxzyzzyyxyxxyzzzzyxyzxxxyzzyyzyxyzyyzxzzxzxzxzxxxyyxyyxxxzxxzzxyzxzxzxyzzxyzyxyzyzzyxzxxzyxzzxyyxzzyzzyyxyyyzyxzzzzxzzyxzxxxxyzzxxzxxzyxzyzxzxzzxxzyxzxzyzxzyzxzzzxxyzxzyzyxyzzyyzzxzxzxzyxzxzyyxzxxyxzzyyxzzyyzxzzxxxzyxzxyzyxzxyxzyxxyxxzxzyzyxxyyxyyxzyxxyzyxyzyzxyxyxyyyzzxzzzzyxyxxzxzxxxxzyyyxxyyxzzxxzyyzzzxzzxzyzyyxyxxyxzyzzzyyxyzxyzzyxxzxzzxxyzyyyxxzyzxxyzyyyyzyxxzyxyyxxzzxxzzzzxzyyxzzzyxxzxzyxyzxxxyyyzzzzzyyxzxzxyxyyzxxzyyxxxzxzyyzzzxxyyxxxzxxyzxyxyzzyyzyyzzzzzxzxzyzzyxyyxzyyxzyxyzzxxyyyyxyyyyzyyzxxyzzxzyxxxzzxzzzxzxyxyyzyzyzxyzxyyyzyzzxxxxzyxzxxyzzyzzzxxxyzyxzxzzyzyyyxyxzxxyyyzyyxxxyxzzyyzyyyzxyzzyxyzzxzyyzyyyyxzxyyyzyxzxzxxzxyxyxyxxzxyxyxyxxzzzzyyxxxzzxxxyyxyzyzzyyxzyzzxzzxzzzyyyxyyxzxxyyzyxzxxzxyzzyxyxxyzxzzzyxxyyxzyyzxxzyyzyxxyxxzxxxzxyzxzyxxxzxxzxzyzxxyzzyzxxyzyyzxzzxxzzxxyyyzxxzyzyxzzxyxzyyxxyzzyzyzxzzzxzzzxzyxxzzxyxxxyzyzxzyyzzxzxzyxyzxyxzyzzxyzzyyzxyxyyyxxxxxzxyyzxzzyzxzzzyxyxxzxxxzzzyyxyxxzxzzxxzxxzyxzxxxzxxxzxxyzyzyyyyxxzyxyzxyzxxzxyyzxzyxzzzxxzxyyzyyzzxzxxyzxzzzzxzyzxzxzxxyzxzyzyyzzxzzyyxzxyxxxzzxxzxyxyyyyzzyxxyyzxxzxyzxxyyxyzyyxyyyxzxyyyxxxyzxxzyyyxyyzxyzzxxxxyxyyxyzyzxyxzzzzzzzxzxxyyyyxzzyyxzxxyzyyxxxzzzxxxyzyzxzyyzyxzzzyyxxxxyxzyyyxxyyyxxyxzyyxzyzzxyyxzyxyyxxyxxxzzzxxzyyzyyzzzzyzxzxyyxyyxzxxxxzyyxzyyyxxyxxxyyyxxyyzzyyxzzxzxyzxzzzzxzyyyyyyxzzzyzyyyxyyxzxyyzyyxyxyxxxyzzyyxxxzxxzzyyxzxzzzzxzxyxzzzyzxyyzzyyyxyyyzzzzyyxxzyzxxxyyzyxxyzxzyyxzxyxyyxxzzzzxxyzzyyxyzxyyxzyyzyyzzxzxxzzzxyxxxzxyzxzxzzzxzxxzzzxyzyxxyxzyzzyzzyxyyxzxxyzyxxzzyxxyxxxyyzxyyxzxzyzxyyyyyzyzyxxyyxxyyzxzxzzxxzxxzyxxzzyzxzxxyyxxzyyzzzyzxxyyzyzyyzzyxyxzzyzxyzxxxzyxxyyzyyyxzzzyxxxxzzyzxxxxzxzyxzxxzyzyzxxyyzyyzyzxxxxxxzxzzyyyxxyxyzyzzzxxxyyyyyxxyxxzyxyxyzxzxyzxxzzyxzyxzxzxxxzzzyxzyxzyyzzyzyzzxxzyxxyzyyyyxzzxxzxyxzxxyyzzzzzzxxzyxyyzxyxzxzxxyyyxxyzxxyxyxxzzzyzyxxxyxxxyyxyyxxzxyxzzyzyxzzzyyxxzyzyzxxyyzzyxyzyzyxyzxyzzyyxzxzyxyzxzxxxyzyzzxzyyxxzxzyxzyzyyyyxyxzzxxzzzyxxzxxyyxxxzzyyzzzxzzzxzyxyyyyzyxzyyyyzxzxxzxzxxzxxzxxzzyxyzyyyxxxyxyyxxxzzyyxzzyyzzzzzxzyyxzyyxxzxxyxzxxyzxxzxzxxyxyxzzyzxyzxzyyyzzyyxzzzzxyxxzxxyzxzyzzxxxzxzzyzxxyzyxzyzyyzzzyzyxzyyxzyzzzzxxzzzzxxxzzyyzyzxxyyzxxxxxxxzxxzyxxxyyyyyxxzzzzxxyzyxzzzxyzyxyyzxzyzxyxxyzzxxzyyyzxyzzxzxxxyxzzyzzyxyyxxxyzxzzyyyzyyzyzyyyzzxyyyyzyxyyzzxxyxyzzzzxzyxxxyxxzyyxyxyzxzxyyzzxxyyxzzxzzyxyzyzxzzyzxzyyxzyxzxxzyyzxxyxzzxyxyzyyxzzxzzxyyyzyxzxyxyyyyyyyzzyyzyzzyyxyxyzzzzyzyyzyyyzyzxxxzzxyzzxyxzxzzxxyxzxzzyzzxzzyxyxyyxyxzyyyyzxzyyxyzzxyzyyyzyyzzyyxzxyxzxxzxzyyxyzyzzzzxzxxxzzxzyzzxzxxzzzyyxzyzzyxxzzxxyxyyxzyxyzzyzxzzyyxyzyyxzyzzyzyyyyxxyyxyxzxzyzxxyyyxyyyzxzzxzxzzyzxzyxyxzyyxzxyxyxzyyyxxzyxzzyzzzyzyxxzxxzxyxyxyzzyyyyxyzyxxyzzxzxxzxyyzxxzzxzzzzyyzxyyzzxzzzxxyzxxxyxyzyxzxyxyxzxxzyzyyzxyzxxxyxxyxzxyzyzxzxyzzzyzyzxzyyzxyxyyyyzxzzxxzyyzyyyxyzzzyxyzxyyxyxzxyzxzzxyzxyzyzzzzyxzzxxzxzxzxyyyzzzyzzyzyyxzyxxzyxyxxyzxzzxxxzyyxyyyyxxyxyyyxxyyyxzzxyyxzyzzxxyyzxxzyzxxxxzyzxxxxxyyyxzxzyzzyxxyxxxxxyzyyzxyyzyxyxxyyyyzzyyxxzyyzzzzxyyxyzzxxyyzxxyyyxzzyxzzyyxzxxxyxxxzxxyyzyxxzyzyxxzyyyzyzyxyyyyyyzxxzzxyxxxyxxyyxzyzyxyzyyxzyzyxzzyzxzyzyyyyyyzyzxzyyxyzzzzxyxxxyzxxxyyyxyyyyzxxyzxxzyxzzzxyxxzyxzyxyzyzxyyyxxzxyxyxzxzxzxxyxzyxxxyyxzzyzyyxxzzzyzyyxzyyyxxyyzxxyzzxxyxzxyxyyxzyxzyxzyzxzzxzxzyyzzxxxxxyxzyyxxzzzzyzxyzyxxxzyzxyzyxzxzxyyxxxxzzyxzzxxzxzxzzyyzyxyzyzzzxyyzyxzxzxzxyzyxyyzyyzxyzzyyzyyyzxzyzzyxzxyzyzzyxxyxyyxxxzyxyzzxzzzyzxyzyyyzzzxxzzyyxzyzxyyzzyyyxyxyxyxxyxyxxzyxyxyxxzzyxxyxxxxxyxxzxxxzxxyzxyyzxxyzyxxzyyzzxyxyzyyxzzzzzyyyyyxyzyxyxyzzzyxyyxzyzxyxzxyxxxxzyyxxxxyxyyyxyxxyyxzxyxzyzyzyzzzyxzzzzyzzyzzyzyyyyyzxxyyzxxzxxzyzxyxxxxyzyzxzxzzyzzxyxyyxzxzxxzxzzzyzxzzxzxxyxyyxyzxyzxxyzzxzyxzyyyzxyyxyxyyyzyzzyxzxzzxzyxxzxzzxzyzzxxzyzyzyxyzyxzzzxzyxyxxxxyzyzyzyzxzzyxxyxzzzzzyyxzzxzyyyxyxxyxyxzxyxzzxyyxyxxxzyzyzzyxyyyxxxzzyxyyxxxxxzxxxzyyxxzzzxxzyxzyyyzxxxxxxxzzzyxxyyxzzyxzzzzyyyxxzzyzyyzyxzyxyxyyyxzxxzzyzyzzyzyxzyxxxyyxyyyzzyxxzxyzxzzzxzxxzzzxyzyxyyzxyyxxxyzxxxxyzyxyyzzxxzzyxzzyzxxxzxyxzzxzxzyzzxxzzyxxzyxxzzzxzyzxzyyzxxyxyyxxzxyzyxzyzyxyzzxzzzxxxzzxzyzxyxyyxzxyzzxxyzzyzxzxyzxzyzzxyyyyzzyyzxxxzzyyzzyxyxyyyzyyzzzyzyzxzyxyxzzzyyxyxyxxyzxyxxxzyxyxxyxyyxyxxzzzxzyxyxzxxzzyzxzxyzyyzyxzyzyxzyxxzxxzzyyxyzzyyzxzzxxxxxxxzxyyxxzzzyxxxyyzxyxxzxyyyzzxyzyzxzzzyyyxzxzyzxzxxzyyzzxzxxxyxyzzyyyyyxxxxzzxzyzzxzyzyxyzzyyzyxyxyyzxyxyxxyzxzzxyyxxzzzxyxzzxyxzxxzxxyyzxzyxxyzzzxxxyzxxzzyyyyzxxxzxyxyyzxxyxzzyxxzyxzxzxzyyxyxzxyxyyzxyyxyxxzzxzyyzyyyzxxzzyzzzxzyzyxzyzzyxxxyzzxyyxxzxzzxzzxzyxxxyzxzyzzyyxyyxxzyyxyyyzyzxxzxzxzxzzyzxzzzyzzzxxzyxxxyxzzyyzzyyyxxzxxyyyxyxyzxyxxyxzxzzyxxzxzyyxyyzyzzxyzyxyzxyyyzyzxxxxzxzyyyyxyzxyzxyzxyxxxzxxyyxyxyxyxyzzxxxyyxyxyzxxzzyxzzxzyzxxyyzxxyxzxzxxzzyxyyzzxxzxzxzzyxyxzyxyzxyzyyzzzxyzzxxxxxzxyyxxyzzyyzyyyxzyyxzyxyxyxzyyyzzyyyxzxxzyxyzzzxyyxzxyxxzzxxxxzzxzyyyxyzyzyyyyzxzxxxyyyyxxxzxzzzyxzxxzzyzyxyyzzyyxyzyyzyxzyxyxyzyyzxyzzxxzxzyxyxyxyzzzxyyzzzyyzxzxxxxxyzyyyxxxxxxxyzyzyyxzzyxyyxzyyyxzzyzxzzxxzxyxzzxxzxyyzzzxyyzxyxxyyxyyxyzzxzzyzxzxxxzyxyxxzzxyxyzzxxyyyyzyyyyxyyzzxxyxyzxyxyzyxxxxxxxyyzzxxyyxxzyyyxzyzyxzyyyzzzyyxxyzzyyxzxyxyxzzxxyyzxyzzzxxyxxxyzxyyxyzxxyyzyzyxyzxzyyzzzxyzzyzyzzyzxxxxxyzzyzyyyyzzxyzzxyzxzyyxzxxxzxzxxxzxzyxyzyxxzyzzxyzyxzxyyxzyxzyyxxyzzzyyxyzyyyxxzzyyxzxyxyzyzyyyxzyzxyyzzzxzxzzxzxxzyyyyxxxxzxxzyzzyzzyxzyyxzzxxyyyxyzxyzyxyyyyyyzxyyxxyyyzzyxzxzzzzyzxyxyxxyyzzzxzzzxzyyyxxyzxxxxxzzyyyyzxxxxxxxxxzxxyxxzxyzxxxzyxxzzyyzzyxyzzzyxyxyxzyxzzyyzxxxzyyzxxxyzxzzzzzzxxzyzyxxxzxzxxyzzxyxxzxyxzxxyyxyzzyzzzxzzyxxyxyxxxxyzxxxzxyxxyxzzyxzxyyzxzxxzxyyyzzxxzzyyyyyyyyzxxzyxzyzzzxyyyxzxzzyxyyyxyxxxyyyxxyyzxxyzyyxzzzxzxzyxyxxxzxyzzxxzyyxyyzxyzyyyzzyyyyyyzxyyzxxxxxyzzyyxyxzxzyzxzyzzyyzzyyxyxzzzxxxzzzxyzzxyyxzyyyzzzyzzzyxxzxxxyzxzzxxzyyzxyxzxzyyyyxzxyzyzzzxzyxxxzzzzyxxzzxxxzyyxzyxyzxxyxyzxxyzxzxyyzzyxzzyzxzzzxyxyxzxxxzxxzyyxyzzzyzzzxzzxzzzxxzxyyxxyyzxyyxxzzyyzxxyxzzzzxzzyzzxzzzxxzzxxzxzyxzzxzyzyyzyxzxyzyzzxzxzyyyyzyzzzyyyyzyyyzyxxzyyzyyxyzzzyxzxxxyyzxzzzzzyzyzyxxzxyxxzxxzxxxyyxyxyyzyzxyzxzzzzxxyyzzyxyzzzxxzyyyzxxyzyzzxzzyxzxzxzyzzxzzzyxyxzzxyxxyxzzyxzxyxzzyxxzzyxxyxyzxzzyzyyxxzyzxxyzyyzxyyyyyzxyzzzyxyxzyyyyyxzxyzyzxxzyxyyxzyxyzyyxxzyzyzzxyxxxxzzxzxyzzzzxzyzzxzxzyyyyxyxyzzyzyxzxzxzxxzxzyxxyyzyyzzzyyyzxzzxyyxzxxzyzyxzzyzyxzzxxzyyxzyyyxyyzyxyzyzxzxzzyyzyyxxzxyxxzyxxzzxyzyyyzxzzyzyzzxzyxyxxyyzzyxzxyyyxyzyyyyyyxzxzyxzzyyyyzzxzxxxyyxzxzzxzzxzxyxxyzxxzxzxyxzzyzzxyyyzzyzyzyxyxzzzzxzyzyzzxxzxzxxzxxxyzzxyyyxxyxyxzxxzzyyzyzyxzyyxyyyyzyyzzxxzzyyyxyzzxyxxxyzyyxyxxxxyyzxyzzyxyyxzxxxyxyyzzyxyxxzzzzzzzyxzyyxyzxzyyxxzzyyxyxzyzxzzxxzyyyzzxyyxzyyxxxxyxxxxzxyyxxzyyzyxxzxyxxxxxzxzxzyyzzzxyzxyyyxzyyyxzyxzyyxxzxyzzzzzxzyzzxyxxyzzxyxzzxyzyyyxyyxxyxyzyxyzzyzxyzyzzyxzxxxxyyzxxxxzyzyzyzxxxzzyyxyxyyzxzxxyzyxxyxzyxyxzxxyzxzyyxxxzxxxyxyzzzyxzyzyyzzxyzyxyxzyxzzyzzzyyzzyyxzzxyxzxzzzzyyyyxxyzyxyyyxyyyyyyzyyzyzzxxyzxxxzzyxzxyxyzyxzyxzyzxyzzzyzzxxxyyyzxzzxyzyyxxyzxxzzzyyzyyzxyzzzzyzzyyzxxzxyxzxxzyzyzyxzyyxxzzzzyyyzxzyxyzzzzyyxyyxyxyxxyyzyxzyyyxzyxxxyzyyzzxzyxxyxyxyzzzzxzxyxxzyzyyxxyyzyyyyxzxyxxyzyxxzyzxxzzxxxzyxyzxzyyzxzxyxyyyxzxyyyyxzxzxxyzyyxzzyyyzzyzzzyyzxyyyxxxxxxzzzyyzzyxxxyzxxyxzzxxxyzzzzzyxyyzzxxyxzzyzzxyyxxzxxzxxzyyyyyzzzxyxzxzyzyyxyxyyyxzyyzyzyyyzxzzxyyyxxxzyxxzxyyxyzyxxxxxxxxyxzyyyxzyzyxzxzyxzyyzzzzxxyzzzxxzxxzxzyzzyyyzzzxxzxxyxxzzyxxxzxyyxyxxyxzxxxyyzxxyyzxyzxxyxxzzzyyzxzzyxxxzxyxzxyzyzxxyyyzyxxyyzzyyzzxyyxyyyzzyyxzzxxzxyzyzxzzxxzyyyxyzyxzyxzzxzzxzzzyxzyxyzyxyzzzyzzzyzzzxxzyyxyyyyzyzzzyyyzyyzyyxxxzyxzzzyzyxyxzxzxzxyxxyyyzyyyzzzyxyzzxyzzzyyxzyyxxzzzyxxyyyyxxzzyzxxyxyzyxzyxyzzyyyzzyzzyyyyyyzxxxyxxyxyzzxxyzyxxyyzxyxyyxzyzxxzyyzxzyxyxzzyzzxxzxzyzzzzxyyzzzyxxzzzyyxyxyyxyxzxyzzyxzyzyzzzxxxyzzyyyxyzxzxzzyyyxxzyyxxzxxxzyzzxyzyxxzzyxzzxyzxxyzzyxxzxxyyxxxzxxzxzzxyxxzyxzyxzxzxzyyxyyxxxxzyxyzyxxyzyxzzzzxyzzyyzyxyxxzyyxxyxxxyxyxzyzyxzxzxyxxyxyxyzyzyzzxyzzzzyxzyyyyzxxxzxxxzxyyzxzxzzxyxxzxyzzxzxzxzzzzxzzzxyzzzzyzzyyzyyxzyxyzzxxzxyyxxyyyyzzzzyxzxyyxxxxxxyyxxyyyyyxzyyxxyzyxxzxyzzyzyzyzzxxzxzxyyzyxyzzyyxxyzxyzxyyxyxzzzyxxyxyzzzzyyyxxyzxzyyxxzxxzxzxzyyyyyyzyzzyyzzzyzzxyzxzyyxyxzzyzxxyyzyzyzzyyzxxxzzxxzxzyyxxzxyyxzzzyyyxyyyxzyxzzyxyzxyyzxxzzxyxzxyyxxzyyzyzxzyxyxyzzyxyxzzzyyyxxxxyyzzxzyzyyxxzxzxzzxxzxzyyxyyyxyxxxxzxzxyyxxzzzyxyxxxxzyyyxyzyzzzzxyxzxzyyzxzyzxzzyxxzyxxyyzxzyzzzyyzzyxyzzzzzzzzzyyyzyyyxyzxyyxyzyxzyzzyyxyxyzzyxyyxzyzzzyyyxyyyyyxyxxxxxyyxxxzyzxxyyzxxxyyyyxyzxzxxxxyyyxxxxzzyzzxzzxyxxxyxyyyxzxzxyzzzzxzxxzyzxzzyzzxxyzzxyxyyxxzxzxyxzzxxzzyzzzzyyzyxxzzxyxxyzyyzyyzyzzxxyyzxzzyyyzyzyzxzzxxxyzxxzyyxzyyyzyyzxzyzzyyyxxyxyyxyyxxyzxyyyzyyyyxzyzzzxyzyyxyyxzyxzzxyxyxyyyyzxxxzyxzyxxzyxxzxyzxzxzzxyxyxxyzzxyzxxzyzxxzzxyzyyzyxzyyyyyxyxxxyyxyzzyxzxyxyxyyyzzxyzxxyyxyzyyxxyyxxxxxxxzzyzyzxyyxzyzyzzzzxxyxzxzyzzyyzxzxxyxxyzzzzzyzzyyzyxzzyzxzzxxyyxxyzxzyzzxxzzzxzxxxyxyxyyyyzyzzzzzzxyyyxxyyxxxxyxyzyyxxxyxyzzyxzxyzyzyyzyzxyxzyyzxxxzxyxxxyzzxxyxxyxyyzxyzyzyxxyxzyzzyxyyyzxyxyyzxyzzyxxzyxxzyzxyyzzzzzyzzxyxxxyzyzyyxxzzyyzxzzzxzyyzxyxzyyyyxyzxyxzyyxzyxyxyyzxyxzyzxxzxzzzxyyyxzyyxxyyxxyxzzyzxyzyzzzyyyxzxyzyzzyzyzxyxzzzxxxxzyxyzyxzxzxxyyxyyyxyxxyzyxyzzxzyxyxyxzyxzyzzyyxyxzxyxxxyzxyxzzxxyyxxzxyyxzxyxxyxzyxzzyxyxzzzxzxzyyzxxxyzyyyzxyxxzyzxxyyxxyyzyyxxyyzyyzxyzxxxxyyzyxyyzxzyzzyxxzzxzyzyyyzyxzyyzxyxzxyyzxyyxzzyyxyzyyyxxzyxxxzzxxxxzzzxyzxyzxzxxzxzyxxzzxxzyzyxyzzzyyzzzxzyzyxyzzxyzxyzxzyyzxyzxzzyyyzzyzyxzyzxzzxzzzyzzyxyyyyxyxxzyyyxxzzyzxzyxyzxxzxyxzyxzxyyzxxyyzzyyzyxzxyzxzyzzzzzyxzyyxxyzyyxxzxyyxxzzzzzzxzxxyzyyzyxzyzzzzxzxzxxzzxzyzxyyxxxxyzyzzxzxxxzyzyyzzxzyxzzzxxzzyxzxyxyzzyzzyxxzzyxxyzzxxzxyzxxyzxyxyzyxzzyyxzzyxzyzxyxxzxzzyxzxyxxyxzyxxyyzxzxzzyzxzxxxyxyxyzzyxzyzxzzyyxzyzxyxyyxxzyxzzxyxyzyzxzxzxxzyxxzyyyzxyyyzyyxyzxzxzxzzzzyxyxzyxxzxzyzzxxyyzzxyzzzxyzxxzzyxyxyyzzzxxxxxyxyyxxzzyzyyxzxxzzyyzzxyzyyyzxyxxzyxzzzzzzzyxxzzzzxxyyyyzxzxzyyxxyxyzxyzyxyxzzxzyzzyxzzzyxxzxxxzxxzyzyzxyyxxzzzxxzxzzxxzxzzyxxxxxzzzxyyzyxyxyxyzyyzxxxzyzyzyyxxyzxyxxzyyzyxxyyzxyyxxxxyxyyyzyzxxyxzxxzyxzyzzyxxxxxyzzxyxzzxzzzyzzyxxyyyyzzyyyyzxxxzzzyxxxyxxxyzxxxyxyzzyzxxyzyzzyyxyxyyxzzzzyyyxxxyxyyyyzzzxxyzyzxyxzxxyxyxxxyyxzxxzzzxzxzyyzxyzzxxxzyzxzzzyzxzxzxxzzxxyyzzzxxyyxyyxyzzzzzyyzyzzxxyxyzzzxxzxzzzyyxxzyxyyyzxyyyzzxyxxxxxzxxzyzzxzyyyzzzzzzxzxyyxyxyyxxzxxzxzyxyyzxyzzyzyyzyxyxxxzyzzxxxzzyzxyzzzzzyyzzyyxxyyzzyyxxyyxxyxxyzxyyxyzyxxyzxyxxzzxzyzxxxzzyzyxzxyyxxzzzyyyzxyxyzzyyyxxzzyzyyzyxyyzxxzzxyyzyyzyyzxyyyzyyxzyzyyyzxyyxyyzzzzxxxxzxzyxzxxzxxxxxzzxzxxyyzxzyzxxzzyzzxxyzzxyyzzyzzzzyyyyyyzyzyxyyzyxxyyxxxyxyyyxyxzyyyxzyxyxzxyzxxyzzxzxyxxzzzyyyzyzxzxyzxxyzyxzzzyyxzzzzyzzzzyxyyxxxzzzxyyyxzyyxyxxyxyxyzzzxxzzyyyyzxxyyzyyxyyxzzxzzyxzxzxzxxxxxxzyzyyzyxxyxzxxxxxzzzxyyzyzxzyxxzzzxyyzzzyxzxxzxyxyzxyyxyyxzzxzzyxzyxzxyzzyyzzyzyxyxyyxzxzyxzxyxyyzyzyzzyzxyxyxxxzzxzxzzxxzxxzyyyyyzzxzxxyyxzzzyxyxxyzzzzxxxyyyxzxzyyxzzyyyxxzxxyxyzzzzxxzyxyzyzzyxxzxyzxyyzxxzzxxxzxxyyxzxzyxzyyyyzxzzzxyxzxxxzzzxzzzyzxyzxzyyzxxyyzzxzzyxxxyzxxxxzxzzyxyxzyxzyxyxyxzxzxzzxxxzxzxzyxzzxxyxyzyzyzxxyyzyxzxzxxyxyxzxyxzxyzxyzxzyzyzxxxxzyxyyxyxyxyxyxzxyxxzyyzyxyxyyzyzxxxzyyzzzyyxxxyyzxyyyzxxxyxyzyxzyxzxzyzyxxzzxzzyxzyxzxxyyyyzzxzyxxzzxzxyzyzyzxyzxxxzxzzzxzzzxxzyyyyyyyzyxyyyxxxyzxxzxxxxzyyxzyzzxzzzxxzyxxzyxyyzyyzyxzzxxxyzxxyyzyxyyxxyzxzxxxzzyzxzxyzyyxzyzzyxzxxxxyxxxzxzxyxzzzyxzzxyzyzxzzzyxyxzyzxyzyxyxzxxzyyzyyxzzzyyzzxxxxxyxzyxyyyyxzzzyxzyyxyxxxxyzzzzyxzzyxyxzzxxxzyzyzyyyxyzyzyzxyzxyxzxzyyzxxyyzxzyxzxxzyzzyyxxzzxxxzyzyyyxxxyxyxyyxxxyyyzzzzxxzxxxyzyzzzyzxxyzyxzxzyzzzxzyyyyzyyzyxxyzyxxyzxyyxyyzxyzxxxyyxyyyzxyzyxzzxzyzzxyzxyyzzzzxyzxyxyzxxzyyyyxyyxyyxyzyzxxxxyxyyxyxxyzzzyzxzzyxyxzyyxyzzyyzyxzxxzxyyzzyyzxzyzyzzzxyxzzxxzxzyxyzxzyzyzzyzzzxzxxxxzxyzxyxxzzzyxzzzyxzxyyxxxyxzzxyzyzxyxyyxzyyyxzzxxzxxxyzxxyzxyyxzyxzxzyxxzyzzyyzzxxzzyzyyyyzzzxzyxxzxyxxxxzzzyzyxyxzzzzzyyzyzxyxxxxyzyxxyzxyyzxyyxzyzyzxyzyzxzzyyzyzzxyyyyzxyzzzyzxzyxzyxzzxzyxxzyyyyyyxxxyxzzxzxzyyyxzzyyzzyxyxzzxyyxyzyyyzxxxyxxyyyzxzxzyyxyyzyxyzzzyyxyxyzyyzyxzxyxyzzxyxxyzxzzzxzzxxyzxzxyyxzyyzxzyxzxyxxzxxxxxyxzxzxyyxyxyyyyyyzzxxyzzyyxyxxyyxxxzzzzzzzxyzxxzzzzxxzyxxzxzxxxzyzzyxyyxxyyzxyzxyyzxzxxxxzxxxxyxxzzyzxxxzxxyzzzxyyxzyxyzzyzzyyzxxzzxxzyxxzzxxyxyxyzxzyzxyxyzxxzzxyxxyxyzzxzzyyzyxzxxzzxzzzzyyxxyxxzxyxzyxyyyyyzzzxyzxzyzyxyzxxyyzyxxyxzzzzxzxyyyzzyyzyzyyxyzxzzzyyzzyzzxxzzyyxxyzzzzxxzxxyyxzyyxxxxzzzyzxzyxzxzxyyyxxzxyxxzyyxzzzzyyxzyyzxxzyzxzxyzyzzxxyxyxxzzzzxzzxyxyxyxxyxxxxzyzyxyzyxxzzxzzzxyyxzzyxyyzxyxyxxyxyxzzyxzxxxyxyxyzxyzzyyxyxyxzxxxxxxxzzxxxyyzyyzxyxzzyxzzxzzyyyyzxzxzzyyzxxzzzxxzyxyzxzzxzyzyzzyyxxyyyyyyyxzzzxzxyyzzxzxyxzyxzzxyyyxxyyxzyyxyzyxyxzyyzyzxzyyzzzxxxxzxxyzyxyzzxyyyzzxzxzyxxyxyxxzxxxzzxxxyzzzyyxyxxxyyyxxyyzyyyzyxxyzyxxyzzyzxyxyzxzxxyyxzxyxxyyxzyxzxxzxyzxzyxzyyxxyyzzxyxxzzzyxyxyzxxzxxzxzzyzzzxyyxzxzzyyyxxxzxxyxyzxyxxzzzyzyzxyzzzxxxyxxyyyyyzzzzzyzyxxxzyzxzyzxxyxyyxzxyxzxyzxzzxzxxxxzzyxyxzzzxzxyzyzyzyzxzzyyyxxzyyyzyxzyyxxyxxxyzyxyxxxxxzzzyzxyzxyzzzyzyyzyxxxyxxxzxyzxxzxxzzyxyzyzxyxxzzxxxzzzxzzxzzxxyzxzyxzyxzzyzzyxxyyzzzzxzxyxzxxxzyxxzyzzxxyyzyxzxyzyzyyyzxzxyxzxzyxzyzzxxyxyxyxxyxyxxxzzzyyyyzzzyyxyyxyyxyyyzyyyxxzyzyyyzzyzxzyxxzxzzxzyyzyyzzxyzzyxxxyzzxyxyzyxyyyyzxyzzzyzzyzzxxzxyzxyxyxyzzxyzxxxzxxzzzzyyyxxyyyyzxxxzzzxyzxyyyxzzxzxyyxzyxxxzzxyzxxxyzzzzzyzxzxxyxyxyzxyxyyyxyyzxzxxxyyyyyyyyxyyyxyzzyxyxyzzzyxxyyzyzxzxzxzxzyyyzxzxxxyzyzzyyxxxzzzxxzxyxzzyxxxzxzzzyxzxzyzzxyyzxzzzzxxzxxyxxzxyyzxyxzyxxxxzxyxzyyyxzyzzyzxyyzyzxzxxzzzxxyyyzyyzxyzzyzxyxyxzyxzzxxyyxxxzzxyzyxzzxyxzxxyxyyyxyyxyxxzxxyyzyyzyyyyzyyyyyxxyzxzxxyzzxyyyxxxyyyxzxxxzyzyzzzyyxyxzzyyzyzyxxyxxzzxxxyyxyxzyzzyxxxzxyzyzyxzxxyyyyxyzyzzxzxzzxyzyzxyzyzzzyyxzzzyxxzyzyyzzxzyxzxzzzyxzzzxzzyzzyzzzzzxxzyzxxzzzyyzxxzzxyyzzzxxyzyxxxxxyzxyzxyxyzyzzzzyzxxzyzyxyxyzzxzyxzzxzxzxzyyzzxzxxzyzxzzxxzyyxxzxxyzyzzxxzxxyyxxxzzxxyyzzxxxyyzzyyzxyxyxxyyzxzxyxyyzyzxxzzzyxyxyxzxzxyzxzxyxxyzyyzxyzyxxyyxyzxzyzzyzyyyyzxzyzxzyzxxyzyyxzyyxyzzzzyyxzyxzyzyzxyxxzyzxxzxzzxzzzyyzzzyzxzzzxzzxzyxyyyxxyyzyzzxyyzxxxzyyzzyzxyxyxzzzzyzyzzzyzzyxzxyxyzzxxxxxxzxyzxyzyyzyxyzyzxxxzzzyxxzxxzxyzzzzzxxxxyzyzzyzzyzyyxxxxzzyxyxxyxzzxzzzxxxzzxyyxzyyxzxyxxyzyxzxxzxzyxxzxyyxxzzxzyzxyyxxxyzzxxzzzyyyxxxzyzxzyxyyxyxyxxzyzxxzyyzxxyzyxzyzxxxyxyzzxzxyyxxyxxxzxzyyzxzyxxxxxxzxyxzyyyxxzyyxzzxyyxyxxxxzxxyzyzyyyzzzyzxxyyyyxyzxyxzxxzxzxxyzyyzzyyxxzyzzzzxyzzxzxzzxxzyyyyxyxyyzyyzzzzyxxyyxyxyyxxxxxxzzxzxxyyzxyyyzyxyzzxyzzyxzyyxzzyxzzxyzzzxxxxxxxxyyzxzxyyyyxyyzxyyxxyyyyyzxyzyzyzyxxyzzxyzyzxzyyxxxyxxzxzyyzyxzyzzyyzyzyxxzxyxyxyxxzyzyzyzxzxyxyzxxzyxxxxxzxyxxzyyzzzzzyxzxyyzxyyyzzyyxyzzyzzzyxzzxyxzyxyxxzyxxzxyyyyzxxxzyxxxzyzxxyxxyzyyzyzyxyxyxyzxxxzxzxxyzzxzzzyxzxyzyyyzzzyzxxyxzzzzyyxxyyzyzyyzxzzzyxyyxxyzzyzzyxzyzyxzyxyyxyxxzyyzxyyzyxzzxyyxzyyyzyxxyzzxyzyxzxyxzzzyxxxzxxxyyxxzxzyxxzyxyyxzzzyzzyzxyzyyyxxxyxyxyyyyyzyzxzyxyxxyyzyzyzxxzxxzzxxyxxxzxxxyzzzxxzxyzyyxxyyyxzyxzyyxxzxyxxxyzzzxyzyxyyzyyzyyzyxxyyzxzxxxyxxxzzzyyxyzxyxxzxzyzyzzyzyyxyxxzxxzyxzzzzzxyxxzxyxyxxzzyyyzzyyzyxzzzyzzxyzxxxyyxyxyxzxzzzzyxzyyzzxzyzzyxyyyxzxxxyxxxzxyzxxxzxyzxzyxxxzyzxyxzzxxzxyzzxyzyyxxzxzyxxzxzyzyzyyxyzzzzzyxxzyzyzxyzxyzyzyxxxzyyyyzzzxyyxxzzxzyxzyyzzyyzxyyxyxzzxyxyxxzzxzyyyxyyyzzzyzyzyzyzzxyxxxzyyxxzxyxyyzzyzyzyxzzxxxzyyxyyxxyzyyzyzzzyyxyxyyyzxzzyxyyzzyzzyxzyzxyxxzyyzzzzxxyzyxyyyyyyzyyyzzyxxzxyxxzzzxxyzxyzyzzyyyyyxzxxyxzxxyyyzyxyzxyyxyzyzyxyyyyyxxzxyxxxzyzyxxyyyzzxzzxyxzxzyyyzyxzzxzxzxzxyyxyzxyxxxxyxxyyyzxyxxxxxxzyxyzzzyxxyxyzyzyxzxyyzzyxzyzyxxyxzyzxyzyxzyzzxzzyyxzxxyzyyxzxzxxxyxxxzzzyyzyzyyzyyyzzxzxyyzyyyxyzxxzzzyxyxzxzxxzxxzyzyxzxyyzzxxzyyzzxxzzzyyxxzyxyyxyyxyzzxxzxxyyxzyyzyzzyxzzzzzyxzzzyzyzxzyzzyxyyxyyxxxzxzxyxzzzxxxyxxyxyxzyzxyyxzzxzxzzzxzzyxxyyyyzxxxxyzyyyxyxxyyxyxzyzzyzzxxyyyxxzzyxyxxzxzyzzzxyzzyxxyxxxzyzxyzxzzyzzxzxyyyxzzyzyyzzxxyzyyyyyyxxyyxzxxzxyxzzxxzxzzyzzzyxxyzyzxxyzzxyzzxxyxzyxzxzzxyxxyyzzzyzxyxyyzyxxyxxyzzzxzzyyyzxxxxxyyyzzyyzxzyyxzxxxxzyyxxzxyxyyyzxzxzyzxyzyyyzxzyyyyzzyyzxyzxxyzyyzyyzxyyyzyxyzzyzxzzzyzzzxxzyyzxxyxyyyzzxxyxyyyyxyyyxzyyyyyzxzxzyxyzyzzxzyzxzyyzzxzyzxyxxzxzzyyzzzzyxzyyyxxyyzyzxzxxxyzzzzxzxxyxxxxyzzzyyxxyzxyxxxxxzxzxxzzyxyyyxzzyzyxyzyyxxyxyyxyzyyxzxxzxyyzzzzyyxzxyzyxxzzzzyxyzyyyxxzyyyzxzzyyxyxxzxxxxzzyxzxyyxyxyyzxyxzzzxzxyyxzyyzzyxyxyxyyyzxzyzyyzxyxyyxxxzxxxxzzyyyxxxxzxxxzyzzzyxyzzzyxxxzxxxxyyzxzxyxxzyyxyxxyxxxzyzzzyzxxzxyzxxxxyxxxyzzzzyyxzzyzzxyzzxzzzxzxzyxzxyzyzyxzxzxxyxzyzxxxyyyzyzzzzyyzxxyzyzxzyxzyyyzxzxzxxxyxzzzyyzyyxyzzyzxyyxyyxxxzzzzxzxxxxxxxzxzxyxzyyxxzxzyyyxxxxyzyzyyzxxzzxzxyzyyxzzyyxxyxzxyxxxyyzzzyzzzzxxyzyzxzzzxyzzyyxyxzzxzyzzzzxzzzzxxxyzxxxyzyyyzyzzyxzzzyyxyzyxzxxzxyzzxyzzzxzzyzyzzxxxxzxzxyxxzyzxyxzyzzzxyzxyzzxzyxzyyyxxxzzyxzyxzyzxxyxzyzxxzzxyyxxzxxxzxyzxzyzxyyyyzzyyxzxzxyxyyyxyxxxyyzxxyzxxzxzyxyxyzzyzzyyyxxzzyxyxzxzzxzzxxxxyzyyxzxzyxyxxyzxxxxxxxxzyyzxzxxyyyzyyzxyzxxyxyxxzyxzxyyyxxyxyzzxzzyxyzxyyxzyyzzyxzxxzxzxyzxzxzxyyyzxyzxzzxyyzxyxzxyyyzzxzyxyyxyyzxxzyyyzzyzzzxzzzxzyzxyxzxyyxxxxyyxyyyyxzzyyxxyzzxyyxxzyxzyxyyzyxzxyxyzxyyzyzxxzzyyzyxxzyyxxxzyyxzzyxyzxzzyxxyzzyyzzzxxxxzzzxyxyyxzyxxzzyzyxyyyxzzzyyxxxzzxxzyyzyzzyxzyxyzxzzxxzxzxxxxxxzxxzyyzyxyzxzzzzzzyyxxyyyzyyyzxyxyxyzzyyxyyzzyxzyzyxzxxyzzyzzzzyyzzxxzyyxzyxzzxxxzyzxxxxyxyzxyzxyxxzyyyyxzxyxyxxxxzzyyyyyzxxxxxzxxxxxzzxzzyzxxyyxxxzzyxyxxzxzzzxzyxzyxzxxyyzxxxxyzyyyxzyxzxzxyyxzzxxxyzyyxxxzxxxyxxxyzyzyxyyyzxyyyzyyyyzzxxzzyzzzyzxzxxxyzyzyxyxyyzxxxxzyzzzxxyyxxxyyyzzzzxzyzzzxzyzyzzyzxxxyxyzxyyyxyxyyyyzxzzyxzyxzxxxyzyzxyzzxyyyxzzzyzyyxzzxyxxzyxzyxyyzxyyyyzxxzzxzzxyyyxxxzyzyxxxxyxxzxxzyxxyzzzxyyyzyzzzzyyyxyzxzzxxxyzyxxzzzzxxxyzxyzyyzyyxzyzzzxxxzyyzyxxyzzzyyxyxzxxyxzzxzxxxxzyzxzzxzxyxzyzxyzyxxyxzzyzxzxyyzzyyxzyyzxxyxyxxyzzyzxyxzzyzzyzyxxxyxzyzyxyyzxxxxxyyyyzzzzzyzyyyyyzxxxzxyzxxxzzyxxxxyyxzyzzxyzyzyxyzyzxzyyxyzzyxyzxxxzyxzxyzzyzyyzyzxxzzzyyxzyzyxyzyzzxxyzxzyzzyyxzxxyzyzyyyxzxzzxzxzzxxzyxyyzxyzyyyzxyzzyzzzzyyzzxzxxxzyyxyxyxzxzzzyxyxxzyyyzzxyyxxyzxzzyzyyxxxxyyxxxxxxxyyzyyyxzxyzzxxxxxzzyyyyxzzxyyzyzxyxyyyzyyxzyxyzyyzyzxzyyxxxxxzxzyzxzzyzxxzxyyyyxxxyxxzzyzyzxxyzxyxzxzyxyzxxxxzxzxzzyxyyyyzyzxyyyzxxyxzzzyzzyxxyyyxyzxyyxxxxyyyyyxyxyyzxyzyxyxxyyxyzzxzxxxyxyzyzxyxyxzyzxyyzzxxyxyzzzzzyyzyyyyyyzxxxxyyxzyzzzyxyxzyyzxyxyyyxxyzzxxxyzxyzzxzzzzxzxzxzxxyxzzyzzxyzzyxzzyzzyzxyxyzzyxyzxzzzyzxxxyxxxyzxzyyzxxyxxxzyzyyxzzxxzzzyzyxyyyzxxyyyzxxxzzyzyyyxyyzyyyxyyzxyzyxyyyxyxxxyzxxyyzxxyzyxxzzxyyxzxxyzyzyyzxyzyyxyxxyzzyyyzxxzzyyxzzzxxzzxxyyxzyyxyyyxxxxzxzxxzzxzzxzyzxxzyxzxxzxxyzyxzzxyzyxxxyzxxzxxxyzxyyyxyxxyyxzzyzyyyxzzxyyxyyyxzxxxyzxzzzxyyzzxyzzxzzyyxyxzyyxxyyxzyxzyzzyyxzxxzyzyxyyzxxyyyzxxzxxyyyxyyxzxzyyzxyyzyzxyxxzzyxxxzyzzzxxxyyxxyxzxxzyyzyxyzxzzyxyxyxzxxxyyxyxxyxxxxyxyzyxyyxxzzzyyyzyyxyyyxxxyzxzyzyzzzxyyxzzyyyyyxyxxzyxzyzyxyzyxyzzzzyyzxxyxyxyzxxzyzxyzxzxyyxyxxxxyzyxxzzzxyzzxzyxzyxyxyxzxxyxzxzxxxyxzxyzzyyxxxxxzxzyxxxyxzxxyxyxxzxyzyxzyyyyzyyzzyyyxzzzyyzzzzxyxzzyzxzxzyxxyxzyzzyzzxyzxxzxyzzxyyzyxzxzyzxzyzxzxyxyzzzxzyxxyyxxyxxyxyyyxxzzxyxyyzyzzzyyyxyyxxyzxxyzyyxxzxxyxzzxzzzyxzzxyzyxxxyzxyzyxzyyxxxzyzzyyzxzzxxyxyzzxzzxzzzyzzyyzyzxxxyxxxxyxxzzyyxyzzxxxzyxyyyxyzxxzzxyyzxzyzxxyzxxxzxyzxxyxxzyxxyxxyzzxzyzyxyzxxyyzxyyzyyxzxzxyzxyxzxxzzyyzzxxzxyzzyzyzzzzyxzyyxzyxzxzyzxyyzzyyxxxyyxxyzxyzxxzyxzxxzzxzyyxyxyzzyyxyyzxxyzxzxxyzyyzzxzyzxyzzyzxxzzxzyzxzyzyyyxxyyyyzyxzxyzzxxxzxzxxyyzyzzyyxxxyyxyyzzxxxyyyxzxzyxxyyzyyxzzzzxxxyzyyxxzxyzyyxyyxxxzzzyzyyzxyxxxxzyxxzxxzxxyyzzxyzxxyyzxyyxxzzzzxxyzxxyyxyxyyzxyxyyyyyyzzyyyyxyyxyzxzzxyyzxzyyxyzyzxxzzyzzxxyzzxxxzxyxzyyzyyzyxzzxxyxxxxxxxzxzzxxxzzxzxzxyyyyxxzzyxzxzzxyyyxzzxyyxyxyzyxyzzxzyyyyyyzyxxxzyzzxzzzyyyyyxzyyzyzxyxxzxyxyyyyzzxzxxyzzzyzxxxzyyxxxxxyyzzzzyzyxyyxyzxxxxxxzxxyyzzxyyyyxzzzxzyyyxyzzyyzzzxxzyxxxyyzzyxzxzyzyzzxyyzzzxzxzzyyyyyzxyxxyyxzyxyyzxxzxxxxzyxxyyyyzxxyyyxxxzyyxxxxyxxzzyxxzxxxxzzxzyyyyzyxyxyyyxyxzzzxzzyyyyyyzzzyxzxxyzyzyyyyyxzyyxzzzxyzxzxyyyyyxzyzxyyxzyzyyxzyzzxxxzxxzxxxxxyxzxxxzxzyxzzzxxzyyxyyyxzxzxzxxzyxzxxxxyxxxzyxyzyyyyzxzyxyxzyxzxxyxyxzyzxyxyxyyxyxyyxzyxyxyyzyzxyyyzxyyxzzyyzzxzxyzyyzxzzzzyxxxyxyyxyxxxyzxxxxyyzzxxxyyyxzxxzxyzyyzyxyyzyzzzzyxzxyyyyzyxzzxxxyxxxzzzyzyyzxyzxyzyxyzzxyyyxzzxzxxzxyxyzzzzyxzxxxxyxzxzzxyxzxxyxyxyxzxzxyxxyxzyzyxzyxzyyyxxxzzzzxyyzxxyyxzyyyxyxxxzyzzzyxxzzzxyyzxzyzyzzxyyxxyzzzxxzxzyyyzxyxxxyxxxxxxxxyxzyzxyyyzyyxxyzzxxyxxzyxzxyzzxxxyzzxzzyyxxxzzzxzxzyxxyxzzxzyxyzxxzxxzzyyyxxyyzyxzyxxyyzxzzxzxxzxyxyxzzzyzyzyxxzzzxyxxxzzzxzyxzyxyzyzyxzyyyxxzzxyyzxyzxzxxyzzzyxxxzyzyyzyyyzyxxxyzxxzyzyyzxyzzyzyxyxyxzyyzzxxxxzxxxxyxxxxxxyzyxxyzyyxxxzzxxzzyxzyyzxyyyyxxxzyzxxyzzzyyxxyxxzyzyxxxyyzyxxxxzyyxzxxzzzzyzxyzzyxyyzxxzzxzyzyxzxzzyzyyxxxxxzzyzxzzzxzyyxxxyyxyyxyxyzyyxyyzzzxzxzxyxxyzxzxxzxxzzzzyxxyyyxxxxxyyxyxzzxyyzyxyxzyxzxyyzyzzzyxxyxyyyzxyyzyyyxzyyzyxzzyyyxyyyxyzyzxyzxzzxzxyxzyyzzzyxyxzxzyxxxzzzxyyxzxxyyxxyzzyxyxxyxxxzyxxyyzxzzxxyxxxyxyyyyxzzzyyzzzxzzzzyxxzxyyyyxxxzxzxzxxzxxzyyzxzxzzyyyyxyzzzzyyyxxzyyxxyyyzxxxxzzyxzzxyyyxxyzxxzxxxxyyxzxzxxzyxzyxxyxyxzyxzxzzzxyzzyyxxxyzyxzxxzzyxxxzzxyxyyzzxxzxxzyyyxzxyxyzzzzzxxxyxzzyyzyxxzyzxzyyzzxxzxyzyyxxxxxzxyxzzyzyzyyzxzzxxyyyyyzyxzzzxxxyxzzyxyxzzxxzyzxxyxxxxyyyxxyyzxzxxxxyyzyxzzzzyyyyxyyzyyyzzzxyyzxzxyxzzzyyzzzyyzxzxxxyzzyyxxyxyyxxxzxzyxyxxxzxyyyzzyzxyxyzyxyyxyzzzxzxxxxxyxxxxyxyzyzyxyzxyzxxyxyxzzyzxxyzzzxyxzzzzxzyzxyzyyyxyxzyzzyxzzxxzzxzxxxyzyzzzyyyyzyyxyzxzyxzyxyzyzxxxxzyzzyzyxzzxxxxxzyyyzzxxzzzyxzzzxxyyxzyzxxzyzxxyyzyzyxyyxyyyxyxzxyyxxyzxzzxzzzxxyzxyzyyyyyzxxxzyzyzxzxxxxxyxyxyzyyyyxyzyzyyxxzxzyzxzxxxyxyzzzzxyyxxyzyzxzyyxzyyxzxzxyyzzxzyyyxyyzxxyzxxzzzxyyzzzyzyxxyzzzzzyxzyyzxxyzzyyxxyxyyyzxxxxzzzxxyyxyxzxzyyyzxyzxyzyxxxzxxzzyyzxzyzyyxxzxzyyxzxyzzxyyxyzzxyyzzzyxyxyzyyxxyyyyyyzzzxxxzzzyxyzyxyyzzyyyxyyzzxyxzyyzxyyzyxzyxxxzyxyzyyyxzxyzzyyxxzxxyzzxzyxzzzyyxyzxzzyxyzyyxxzyzyzzxxzxyyxzxxzyyyxxyzzzyxxxyxyzyyyyxzzyxxzyxyxzxzxyxzzyyyzyzyzyxxzyzyxyzzzyxyzyyxzxyyyxxyzyxxzxzyxzzyzyzzzzzzzzxxzyzxxxzyxzxxyxzzyyxyxxyzyzxyzzyxzxzyxyyzyzzyxxxxzyyxxyzyyzyxyxyzzzyzyyzzzzxzyzxzxxzxxxzzyyyxyxxyxyxxxxzyxxyzzxxzyyyzzyyzzzyxyxzzyzxxxxyzyzzyxxxxzxxyzyxxxzyxyyzyxyzxyzyxxzyzzzyzzzxxzxxzzzzzxzxxzzyxyxxzxyyyyyzzyzyzxzzxyxyzyyxxzyyzxzyyxzzxxzyyyxzzxxyzzyzxxzxxyzxyzyxyzzzyyxzxzyxzxxyzzyyzxyxxyyxzzzxzyyzxyxyyxzyxzzxxzxxxyxxzxxxxyyxyyxxyzyyzzyzyzzzyyyyzxzzyzxxxzzxxzyxzyxyzzxxyzyyxyyyyyzxzxyzyxzyzzyxxzyxzzxzxzzxyyyzyxyxyxzyzxyxzyyyzxxzxxxyzzyxxyxxxxzzyyyxyzzyzzyzyzzxzxyzxzzzzxyzxzzxyyyxxxzxxzxzyxxyzzyxyxyzxyzzxyzzyzyyxzxyzyyxxyzxxxxyyzyyxzyzzyyyxzxyzyyyxyzyxyxyzxxzyxzyzzzzzyyzyxzyyxzxxxzzxxxzzxyyxxzzyxzzyxyyxzyyxxyzzxzxyzzxyxyyxxyxyyzyyzzxxyzxxzxyzzyyyyyzyzxyyyyzzzxyzyxyxxxzyzzyxzyyzyyyyzxyyzxzyyyzzyzyxyzxyyzxxyzzyyyyzyzxyyyzyzxzxzyzzxxxyzxxzyyxyxzyxxxxzyzzyxzzxyzyxzyxzyxyzxzzxyzyzxyxxxxzxxzzxzzzzzzxzyyxyxyzzyxyyzxzzxxzzyzyyxyyzyxyyyxzyzzxxzxzxxyzyxzxzxxyxzxyyyyyyxyyxyyyzzzyzyxyyyzyyzxxyzzyzzzyxzzyxzxxzyzyzzxzzxzzzzzxyzzzyxxyxyzxyzxxzzzxzzzxyxyzxyzxyzxzzyzyxyyxxyyyzxyxyzxyzyzyyxxxxxyyzzzyzxzzzxzxzzxyyyzzyzxxyyyxxzxzzxyzyzzzyxyyxyyzyzzyzzyyzxyxxxxzyyyyyzxzxyzzzzzzyzzxxzyxyxyzzxxyyzyxyyzyxxxyyzzzzzxzyxzzxzxzzyxzzxzxyyyyzxzzyzzxzzyyxxxzxxzyyxyyzyxyzyzyyyyxyyzzxzzxzxzxxyxzzxyyxzyzxxxxzxzzzyzzyyxzxzyzyxyzxyxyxyzzyxxxxyzzzyxyyyzxyzxyyxxyyyzzzxzyyzzzzyzxxxyzyxyzxzxzzyzzyyxyxzzxyxyyxzxyxxyxxzzxzyxyzzzxzxzxyxxyxzxxxyyzzyzyyxxyzxyzxzxxzzxyxyzyzxzzzxzzzzyxyxxxzxxyyyxxxxyzzyyxzxxyzxyxxxxxzzxxzzzyxyyzxyzxzxzxzyzzyyxzzzzxyzxxyzyyzyzyzxzyxzzyyxyxyzxzxxxxxxxxzzzzzxyyxxxxzxzyxzxxyzyxxzyxxxxxzzyzzyyxzyzzxyzzyyyyxyzyxxxxyxzyyxzzxxyzzyxxyzyyzyxxzzxxzzyxxxxxzxxxzyzyxyxyzxzyyzyzyyxyxyyzxxyyyxxyzyxzyzzzyzyyxzzxzzzzzxyyxzxyzxyxxxxxxyyzzyyyzyyyxyzyzzxxzxzxzyzxyyxzxzyxxzzyxxzyxyxzyzzyyyyzxzyyyyyxxyzzxxyxxzzyyyxxyzyzyyyxzyyzxxzyxzyyyxxyxyxzyxzzyzxxyxxzxzzxxxyzyyyyyyxxxyxyxyxyzyxzxzxxxzxyzzyxyxyyyxzzxyyxyxzyzxxxzyyxxzxxyzzzxxzxyxzzyxyyxzzzyxzzxzxzxyzxyyyxzzxxyzzyyyzzyzxzzzzzyzzyyyzyxxxyyyxzyxyzxxzyzyyzxxxyzzyxzyzzyxyyzzyyyzyzyzyyyxxzxzzxxxyzxyxzyxzyyyyxyyyzzxyyyxxyzxxzyyzzzxyzyzyxxzxzyyyxxyzzyxxzzyzyxxzxxyxzyxyxxxzyyyzzyyxzyxzzxyyzxxxyzyxxyxyzyxyyzzzyxxyzxzzzyzxxxxzyzxxxyyzxzyyzyxxyyxxyyzxyyzyzyxyyzxxzxxzxyzyzyzxzyyyyxxxyyxzxyyzzyzxzzzyxyxxzzyxyyyxxxxyyzzyyzxzyyyzzzxzyyzyyyxzyyzxzxxzyzzzyxxxyyyxzyyzxzxzzxyyyzyxxzzyxxzzyyzzyzxzyyzyxyxyyxxyyyyyzyxxxzxyxxxxyyxxyxxzyxyyzxzxzzyzyxzxzzyyzxzzzzyzxyyxxxyyzyzyxzyxxzzzxzxyxyzyzyxxzzxyyyzzzyzxzzzzyxzzzyxzxyxzxxzxyzzxyzxyxyzyyzxyxyzyxxyyzzxyzyzxzyxxyyzyxxyyxyzyzzzzyzzyzxxzyxzzxxzxyxzyxxxxxyxxxyzyxyyzyyxxzyxzzyxyzxzxzyyyzzxxyyxzyyxyxxyzzzyzzzyyxyxyxyzxxyyxxxxyzyxzxyxzzyzxxzzxyzxxxyxxzzyxxxzxyyxxyzzzzxzxyyyyzzzxzzzyyyyxxzxzzyyyzyyyyyyxzyzzxxzzyzyyyyyxzxyxyzxxyzzxxzxzxyzxyyzyyzzyzyxyxzzxzxxxzyzyyyzzzxzzzxxxzyyxxzxzzyzyyyzzzxyzxyzzzyyxzyyyzzxzyxxyxyxyxyzxyzxzxxxxzzzxzzyxxzxyzxxzxyyzxxxxzzxxzzyyxyzxyyxyyyzzxzxxyxxyzzxzxyxyxyyzxzyxxzxzyxyxxyyxxzxyzyxzzxyxzxzzzxyzzxyyyxxxzzyyxzxyxxzzyzxyxxzyzyyxxzxzyxyxzyxzyxxyzzxxzzyzzxzyxzyxzzzxxxxxzyzzyzyzyxxzxxzzyxyxyzzyyyyyzyyxxzxyzxyzxyyyxzzzzyyzxxxxyzzyxzxxyxyzxzzxxxyyzzxyzyxxyzxxyzzyxyyyyxzyxxyyxyyyxyxzzzyzyyyzyzyxzzxyzzyxzyzxzzyzzyxyzxzxxxxxxzxzxxyyyzzyxzxyzyzyzxzzxzzxyzyzzxxyxyzzzyzxyyyyyzxzzxyyxzxyzxyyxzxyxxzzyyxxxxyyxyxxxxzyxxyyyyyzyyyxzyzyzxxyyyxxzxyxxzzzzyzyyyxzxyzzxxxyzyzxyzyxyzxxxxzxxxxxyzyyyyzyyzxxzxxyxzyzyzzxzxzzyzzzyxyxzzyzyyzxyyzyzxxzyyxyzzyxxzzxxyxyxzzxyzyxyzxzzyyxyzxyyzyxyxzxxyxzxzxzzyxzyxzzxzxzxzzzzzxyzzxyyyyyzyzyzxyyxxzxxxyzyxzxyxyyxxyyyxyxzyxyzzyxyxyyxyxzzzxyxxzyzxyxyxzzzzxzyyzzxzyyyzyyxyyxyxzxyyyyxzxyyxyxxyyzzzzyxxzzyzxxxxzxxxzyxzzzyzzzzzzzzzyzzxxyzyxyyxxxzxyzxyzzxzxxzzyxxxxyyyzxyzxzzxzxzxyzxyxxzxzyxzzyxyzyyxxzzxyxzzyxxxzzxyzzxyxxzzxxyxzzzzxxyxxyzzyxzzyyxzxxzyyxyzxyyxxzzzzyzxyxzyyzxzyxyxzzzzyzzzzxxzxxyyxxxyyxyyzyyyzxyyzzxxxxzzyxzxyyyzyxzyyyzxxyzzzxzyyyxxxxxyzxxxyxxyxzyzyzxyzxzzzzxzyxzxxyyzyzzyzxzxyyzzzzyzyzxyxzzxyzxxxxyxxzzzzyxzxyzxyzyzyzzzzxyxyzxxzyxxxxxzyxzzzzxxxzzxzxyzzyxxzyxxxxzxyxxyzzxxyzxzzzxzzyzzzyzyxxxzyyyyyxxyxzxxzyzxyzzyzzzzzzyxyyyxyzzxzzxyzyxzyyxxyzyzzzxzzxyxxzyyzzxyyxyzyyyyyzzzyxzzyxzxyzzyxzzxyxyzxzzxxzxzxxyyyxxzzzzyxzzxxyxxxzxxyxxxzxyyyyyxyxxyzyzzyyyyxxyxxyzxyyxxyxzyyyzyyzzxyxyzzzzyzyxxzxyxxxxzxzzyyxyzzyxxyyzyyzxyyyzyxxyzxzyzxyxzxzyxzyzxyzyzzyxxxxzzzzzyyzzzzzzyxxzyzxxxzxzyyzzxzxxyxyyzyxxyyyzzzzzzzyyxxxzzyzzzzyxzxxzxxxxzzxyxzxzxyxyxzzzxzxxxyyxxzyxyyxxzyxzzyyzyzzxzxxyzzxyzyzyzzxzzxzxxxzxzzzzyxxzxzzyyxzxzyxxyzxyzzxyzzxzzxxyyyxzyyxxyyxzzzxyzxzzxzyyzyyxzyxxyxxzzxxxzyxyzyxyyzxyxzzzyzzyyzzyxyzyxxyyxxyxzyyzzzzxzyyyxxyzyxzxzxxxyzxyyzyzxxxzxzxyzzzzxzxzzyyzxyyyxyyyzyxyxzyxxyzzyyxzyyzzxxyzxxyxyyzxyyzzxxyzzyzzyzxyzzxzyxyxxzxyyzxxyyzzzxxzxzxyxzzxzxxyxzxxzxzzxyzzzxzyyyzyzzxyyyxyxzyxxyxyxyzxxyzxyxzzxxzxzzxxxxzzxzxzyzxxxxzyxyzxxyzzxxzzzxzxyzxxzyyzyyzzxxzyzzxxxxyxyyxzzyyxzxyzyxxyxxyzzxxxxzxzxxxzxzzxzxxyzyyyyyzyyyxzzyyxzxyyzzxyxxxzxzzyxzzzxzyzyzxyyxzyzzyyxyyxxyzyyyyyzzxzzzzzxyzzzzyxxzyxyxyxxzyyzyxyzxzzyzxyzxxxxxyxxzzxzzzzzyxxxxxzzyzyzzyzyxyzyxzyyyxyzxzyyyyxxxyzxxzxxzxxxyzyxxxxzzzzxzyyyxyxzzxzxzzzxzzzyxyzxyzyxxxyzzyyzzzzyzzyxzxzzzzxyzzzyxxyyyzzxzxxzzzzxxyxyzxyxyyzzyzxzzzyzyyxzyzyzxyxxzxxyyyzxyyzzxyxyyzzyzzzzzyyyxxzzxzzxxyxyzxxzxzxyxyzxxxzyyzzyxzxxzyyyzxxyzzxzzzzzxzzyxyxzxxzyzyyxzyyxzzyxyxxyxxzyyzyyxyzzyyzyxzyyyyxxyzzzxxzxxzyzzzxyyyxyxyzxzyzzxzzzxyxyxzxxzyxzyzyyzyyyyyxzxzyyzyzyzzyxyzxxyyxzzzzzxxzxyxzyyyyxxyzyxzxyyzxxxxxzzyzxyyxzyxzzyzyzxxxzyyxyyxyzyyzzyxzyzxyzyzxxyxyzyzzzzxxzyyzyzxyzyyyyxyxyxzyzzyzzxyyyyyxzxxxyxyxzzyxxzyzyzxxxyyzyzzxxzyzyzxyzzyyxxyzxyxxzxyzzxxxxyyxxyyxxzyzxxxxyxyzzyxxxzzzxzxxxzyzzyxzyzyyyxzzxzzxxzzyyxzxxxzyxzzzxyyzyzyzzxxzzyzxyxzxxxzyyxyzxzyzyxxzyzxxzyyzxzyyyyzxxzzzxzzzyxyzzzyxyyxyyzzxyyyxzyzyxzxzyxxzzyyzxzzzxxxzxxxzzzxzxyyyzxzyxxzxzzyzzyyzzzyxzyzyyyxzyyxxzxxyyyxyxyzxzzzzyxxyyxxyyxzzyyyxxxyxzxyzzxzyyzxyzzxyxzzyxyxzyzzxyxxyxyyxzzxxzxyzxxyxxyxyzyxxyzzxzzxzxxyzyxxyzyzzxzyyzzzzxyyyzzzzzyyzxzyxyxyzzzxxxzxzzyzyyzxxxzyzzzzyzyyxzxyxzxzyxyyzzxzyyzzxzzzxyyyxyyyzzxxxyyzxzxzzzyyyyyyzzyzzyzyzzxxyxzzxzxxxyzzyxzxxzyxzyxzxxxzyyzyxzzyxyyyyyzyxyyyxzzzyzyxzzxzyyzyxxxyzxxyxzzxxzyyxzxxxxzyzzyzzxyzyyxzxyxyyzxyzyxxyyyxzzyyzxxyzzyyxxxyxzxzxyxxzxzxzyzxyzxzzzxxxyzxyzxxxyzxyxxzxxzxxyzxzzzzyxyzxxyyzyxzzzxxxzyxyyzzxyyyzxzzxzxyyzyxxxzxzyzyzxyyxxxyxzzzzxyyzzyxyzyzyxxxyxxzxzyxxyxzyzzyxxxzzyyxzyyxzzxzzzxzyxxxzzxxzyyzxyxxyzyxyxyzzyyzyxxzzxyzzyyxxyyyzyxyxzzzxzxyxzyzxxxxyzxyyzzyzyzxyxxyyzxzzzyyxxxxyyxzyyyxzxzyxyyxxxyzxzzzxxyyxyzzyzyxyyzzxxyyzyxyzxyxxxxxzzxzxyyxyxxyzzzxxzxxzxyxyzzxyxxxyxzyxzyyzyyxzzxzyzyyxyyzzxzxxzzyyzzyxyzyyxxzzzzyxxyyxxzyyxxxyzzxxyyyyxzzzyxxzzyzyyxzxzzzyxxyyzyzyyxxxzzzyyzxyxyxxxzxzyzxyzyyxxxxzyxxyyxxzyyxzxzyxzyzyyzyzxyyxxyyyzxyyyzzyyxzxxxzyyzzzxzyzyyxxzxzyzzxxyzzzzxxzyxyzyxxxxyyyyyxxyyyyzyyzzxzyxxxyzxzzzzxzzyyzyzyzxxyzzzzxxzzzyzzyzyyyyyxyzzxzxzyzyyxxzzxyxzyyzzyxyzxyyyxxyzyyxxxyyxyzyzyxyyzyzxyyzxzyzxzxzzyzxxzyyzxxxzyxzxzyyzyzxyzxyxyyyyzzyxyxzxzzzzyxxyxyyzzzxzzxyyzyzyzzxxyyxxxyxyxzzxzzzyyyxyyzzyyzzzyxxyxxxzyyzzzzxxyxyyxyzyyyzzzzxzyyzyyzxyzxyyxyyxyyxzzxxyzzzzzxxzyyxxyyyxxzyzyxxzyxyyyyyxyxxyxxyyzxzyxxyyyxzzzyyxxzxxxyxyzyxxzyxzzyyxzxzyzyxyyzzzyyyxxyzzxyzxxzyzyyyxxzxzzyyxzyyxxzxzzyxzzyyyxxyxzxzyyzyxyzzzyxyyxxxyzyxzxyzxxyzzzyxxyxzzyzzxxxyyzzyzzzzxzyyyyxyzyzzyyzxxzxxzzxyyyyyyzxyxxzyzxzzyzxxxxxxyyyxyxxxyyxxyxzyyzyzxzzzxxxzxyxxxzxzyyxyxyxzxzzyxyxxxxyxzzxzxzzxxxxzzxxyyzxzzxyxxzyyzyzzyzyyyxyxyzxzxxxxxyzyxyxzxzzzyyxzyzxyyxzzyxyxyzyyzxxxzyzxxyzxxzyzxyyzyyzzzxzxyzyxxxxyzyyzxyyzyxyxyyzzzyxxxzzyxxyyyyyxyyyzxyxxxxzyxxxxxzxzxxxxxyxyxyxzxyyzzyzzxxzyzxyzxxxyyzyyzyzxxxzyyxyxyyzxzzxxxyyyyzyxzyxxyxxyxyxyyyzxzzzzzyzyzxzyyxzyzxxxxyzxxyzyzzzzyzxzyyzxxxyzzyyzzzyxyzxxyxxxzxxzzxxyxzxzzyzzxzzxzzxzyyzzzyxxzxyzyzzyyyyzyxzyxyzyxzxxyzxxyyzyxxxzyyxxxzzyyxyxxzyzyxzzzxxxyzxzzzxyyxyxxzyzzxyyzzyzzzxxzyzzxxxzyxxxyzyxyyyyzzzzzxzxyzyxzzxzyzyyzyxxzyzxzyyxzzyzzxxxyzzyyzzxxxzxxzzyzzxzzzyzxxzxyxyzzzzyxzzzxxxxxzxyxzxxxzyxyyyxyxzxyyyzzyzxxxyyyyzzzyxzzzzxzxzzxxxyzzxxzyyyxxyzzyxyyzzxxyzzxxxzyyyxyzzyyzzxzyxxxxzxzzyxyxzxzxyxxyxzxyzyxyxzzyxxxxyxzyyyzyxxyxxzyyyxyzzzyyzxyyyzxxyzxzzzxzxzxxzxxzzxyyyxyzxzyxzzxyxxzxxzyyxyyxxxxxyzyyzxzzxyxyyyxzyxxzxyxyxzxxxyyyxxxxzxxxyyxxxxxxzyxzxzxxyyxyxyzzzxyxyyyyyyxyyyyyzxzzxxyxzxzzzzyxzyyzyxzzyzyyzxyzzzxyyxyzyyxzyyzyyzyzxyxxyyyzyzxxyzyyzxyxyzxyyzxxyzyzyyyyzyyzyzyyxzyyxzyyyzyzxyyxxxxxyzyyyxzyzzzzxzzzyxyyyyyxxyyxyzzxxxxxxyxzxxzzyxzyyyyzyxzzxyxyyyzyxxzzzyyyxyxzxzyzzzzxyzzxxxyyyzyyxzxyzxyyzxzyxyzyyxzzzyyzzyzxyxxyyxzyzzzzzxyzxxyyzxzxzxyxyzyyxxzzzxxxxzyyxxzxyxxyxyyxxzxyxxzyzyyxxzxxxxzxyyzyzyyzxzzxzxyyzzzyyxxyyxyyyzxyzzxyyzxyzzxyyzyzxzyxzxzzxzzxyzzzxxyzyzxyyzyyzxxxxyyxxzxxzyzxyxzyxyxzyyxzxzyzxyyyxzyzxzzzzxyyzyzyzzyxzzzyyyzzzzzyzzzxxyxyzzzyzzzzzxyyyxyyzzxxxyyzxxxzxyzzxzyxyzzyxzxyyxyzzxyxyzyyxxzxyyxzxyyzzxyzyzxxzyzzxzxyxxxzxyxyxxxxyzyzxzyzzyzxzyzyzxxxyzxxzzyxzzzxzyzyzzyzzxyxxyyzxyyyyxyxxzzxzxyzyxxzzzyzzzzxxzzyxyzyzyzzxyzyxyzzyyzzzyzxxxzzyyzzyzyyzzzzzyzyxxxxxzyxyxyzyzyxzxzzyxxzzyxyzyzyyyzzyxzxzxxxyyzxzyxzxyxxyyzxxxxyxyyxzzyxxyxxxxzyzyxzyxyzxzyzyzyyxyyxzzzyxyyyyzxxzzzzxzxyzxzzzxzzxzyxyyzyyzyyyyzyxyzzyzyxxyzyxzzxxzyyyzyyzyyyyxyyyzxxyxyyyzyyxyxzxzyzzzyzxyyxxzyyxzzyyxzzxyxzzxzyyzxyxzyzzzzxyyyzyzzyyxzzxxyzyyzzxzzyxyxzyxyxzzzxyzzxyzyyyzyyzyyzyxxyyxyzzyzyzyzxyzxzzzxxxxxxxxzzzzyzzxyzyyzyxyxxzzyzxyyzyzxxzyyyyyxzxzzyyzyxxyzzzxxzzzyxyzzzyzzzxxyzzyyxyxzyyzyxxxxzzyyxyxxxxyyxxxyyxyzzyyyxxxxyxzzxxxyzxxyzyxzzxxzyxzxyyzyyzxyxyyzyzzzxyxyyyzyzyzyxxzxzxzyyyyyxyxxyxxzyyxzzxxxyxyzyzyzxxxxxyzyzxzzxxyzyxzxxzyxxyyzxyxyzzxxyyyxzzyxxzzzyyxxzyzyzyyyyzyzxzzxxzxzxyxxzyxzzyzyyyzzxxyyzyzzyyyyyxxxzzzzzxyzzyzzyyyxyyyzxzyyzyzxzzyzyxyxxxxyxyzyxxzzyzzxzxyzxyyxzxyyxyyyxzyzxzzzyzzxxyzyxzyyyzyyzzzyzxyxxyyzzzxxyyxyyzzxxzxxyyzyxzzzxxxzzyzyzxxyzyyzxxxzzzyzzxxzyzxxzxyxyzxxxyxyzxyyyxzyyxyyyyxyxzzxzyxxxyxyxxxxxyxxzxyyxxyyzyyxzxyxzxyyxzxzyzzxxzxxxxyxyzzzzzyzxzxzzzyyyzxyyxyyzzzxzyyzxzxyzyxzxxyxyzzyyzxzyzyyxxyyzyyzzzxxzzyyzyzxzxxxyzxxxzzxxxxyxyxyzxyxzzxxyyzxyyyzyzxzyxzyzxzyxzxyzzxyyyxxxyyyxzzzzxyyzyzyzyyyxyzyyxyxzzzzyyzzzyxyyxyxyyzyzzyyyzzxyzyxzzzyyxyyxzzyxxzyxyyxyxzyxzyzyxzyzzxzzzyzxxzxzxzxyzyxzzyzzxyxxyzzxzxyxxyzxxzxyyzxyzxzzzyyzxyyyzyzxzyxzxxzzyyzxxzyxzxyzxxzyxyyyxzzyyyzzxzyzzzyxyyxzzzxxxyxyxyyyxxxxzxxzzxxzxzzzyxxzxzyxxzxzyzzzxxzxyzzxxyxxzzyzzzyzxxzzxxxxyyxxzyyyyzxxyzyzyxyyzxyxxxxxxxyzxyxyzyzyzyzxyzyyxxzyxyxzzyyyxyzxxzxxyyxxxzzxxxyyxyzyxyxyxzyzzzyyxyyyzyxzzzyzyzxzyxzzzyyyyxxyyzyxyxzyyxzyzzzzxxzyyzyyzzyxxzyzzyzzyyzyxyxyzzyxyxyzyzyyyyxxxyxyzxxzxxyxxxzxzzyxyxzxzxzyyyxxyzzyzyyxyyyyxzyxxyzxxxyyyxyyyzzxzxxxzyzzxyzzxxxzyyyyzzxxyyxzxyzxxxxxyzxzyyzxzyyyzxzyzyyzyyxxzyzzyxzyzyzzyyyzzxxxyyyxxzzyzxxyxzxyxzxzzzzxxzyxyzxxyyyyzxzyyyzzxyxzyzxzyyyzyzyyyxzyzyyzyzzxzyxzxxzyzxzxyzxyxzyxyxyzyzzzyzzxzzyyxzyzyyyyzyxxyxzyxzxxzxxzxyzzyxyxxxxzyyyzzyzxxzxxxxyyxzyzxzyxyyyxzxyyyyxyzxyxzyxxyyzxyxxzyyxzzyzzyxzzxxzzyzxzxyyyzyzxxzxxyxyyyzzyxzyzyxzyyxzzzyxxyxyxyxzxyyxzxxzzyxyxxxxyxyzzyxyxyxyzxzyyxzzyzyyxyyyxyxxyzyyxyyyzyzyyyyxyyzyzyyyzxxxyxzyzyxzyxxyxxxzyxxyyzxxyyzyyyyxzxyyzzyyyzxxzyxzxzxxzxyxzyzxyxyyzzyzyzyxyxzyzzxzxxyzxzxyzyxxyyyyyzxyzxxyzzyzzzyyxzxxyxzzzxxxxxyzxzzxxxzzzzxxxxzxxyyxzzzxyyxyxzyxxzyxxxzxyxzxxxyzxzxyyzyyyyyxxzxxyzyyxyxyxyzxxyzzyxxyzzxyxyyzxyzzzyyzzyxyzzzxxzyyyxyxyyxzxyyxyzyyyxzyzxzzxzxzzyyxyyzzyxzzzzxxyxyzxyyyxyzxxyxyxxzzzxzzyzyzxxyyxzzxxxzzxyyxyyxyxxzyyzyyyzxzyzxxyzzyyyxzzxzyxyxxyxyxxzxzyyzxzyyyzzzxzxxzxzxzzxzyxxyyzxzxzzxzzyzzyyxxyzxyzzzyyxzzxzxyzzzxzyzzyyyxxyzzyxxyxyzxxzyyxxzzyxyyxzyxyxyyxxyyxxyzxxzxyzzyzxzzzyzyxxxxxyzzzxyxzyzzxyzyyyxzzzyyyxzzyxzyxxyzyzyxzxxzxzzxzzzzyzzzzyyyyxzzzyyzzxxxxxxyxzxzyxxzyyxxyyxxzxxyyzyzzyyyxyyzzyxyyzxzzyzyxzxxyzzzyxzyzyzxxzzxyyzxyyxzzyzxyyxzzyzzxyzxzyxyzxxxzxyzyyxzyxyxyxxzzxyzyzzxzxxxxyzzzxyxyzyzzzxyzxxzxzyyyzxxzzzzzzxzzxxxzxzzxzzxzzzxyxxyyxxzyxyxzyzzzxzyxyxxxyyzyzzyzxzxyzzxxzxyxzyzzyyyxyxxyyzyyzyxzxzyzzyxyyzyyzxzxyzzxxzxzyxzzzzyzxyyyxzxyzyxyzyxzzzxyyyxzzxyyyyxyzzyxyyxxzzxxzzxyzzyzyzxxyyxyyxzyzxzzyxyxyzyyzxyxxyyzzyyzzxxxxzyzxxxzzxxzzxzxxxzyyyzzyyxyzzyzxxxzzxyyxyxxxxxxyxxzxxxzyxyyzxxxzyzyyzzxxxzxxzyxxzyxzyzxyxzxxzxxzyyxyyxyxxxxzzzyyxyxxzzzyyxxxxxzzxzxzzyzyxxxzyzyzyzzyxyxyyzxxzzyzyyyxyzxxzxzzxyyzyyzzyxyzzzzyzyzzzxyyzzyyzzyyyxyyxyxxzzxyzzyyzxzzzxxyyyyyxxzxyxxzxzyxyxzzyxyzyyxyzzzxyxxxxyxxxzyxxyzxyyzyxzxyzzxzxxyxxxxzyxxyzzxzzxzxzxyyzzzzxxyyxzyyxzxyxzzxyxxzzzzzxyzyzzxyxyxyzxxyyzxyyyyxzyyxzxxzzzzxyzzxzzzyxyzzyyyyyzyzxzzxyxzyxxzxxxyyyzyxzzyzzyyzzzxxyyzzzxzyxyzyzzyxxyxyyzzxzyzyyyxyzxxzyzxzzzxzyyxzyxyyyxxyyxzxzxxxxyzxyxxyxzyzxzzzyxxyxzyzyxyxyxxxyyzzzyzzxyzzxzxyyzxzxyyxxzzyxzzzxzyzxzxzzzxzzyxyxxyzzzzxyxxxzyxxzxzyzzxzzxyxxyzzyyzxyzzxxzzyxxzxzzyzzxxxxyxzyzyxyyzyzzxyxzyyxzxxxxyyyxzzxyyxzxyzzzzyzyxzyyxxzxzzzzyyyxyxzxzzyzzzxzzyyxyzzyxyzzzzyxyzyyzyxyxzyxxxzyzyzzzzzxzzyyxyyzzzyyzyxzzyyzzxxyxzzxyzyyyzxzxxyxyzyxzyyxzzxxyxzyzzxyyzxzyzyxxyzyzyxxzxxxzxxyzxzzyxxzxxxzzzxyxxzyyxzzxzyyzzzyxxyzzxyzxyyyzyxyxxzxzxyyyzxyzxxzyyzzzzzyxxyyxyyxyxzzzxyxxzzxxyyxyzyzzyzyxzxyxxxzzxxyzxyyzyyzxzyzzzyyzzxyxzyyzxyxzxxxzzyzxyyxzxxyxzxzzxxzxzzyyyyyzyyyzyxxzyyxzzzzyzyxzyxxzyzyxxyyxzxyzxzzxxzzzxzyxxxyxzxzxxxxxxxxyzxyzyzxzxyxzzzyyzxzyyzzyzxzyyzxxzzyyzzxyyyxyyyzyxyxyxxyyxzyxzxxyzzyzxxzyzxyxzzyzyyxzxyzzzzzyxyxxzyzxyxxxyxxzxxyyyxyzyxxyzxxxyyxxyyxzxyxyyzyyzxxyzyxyzyyzyzxxxzyzyyxyzzzyyzxzxxzzyzzxyxyzxzyxyzzyxyyzzyyzzzxzzxyzxyxzxyyxzyzxyzyyzyyyyxyyxyxxzxyxzyyzzxyyxyzzzxzxyyyxxxxzxzzzyyyxxyyyxzxxzyxxyzyyxyzzzyzyyzyxyyxyzxxxzzyyxxzzyxxyxzxyzxzxyzxxyzxzxxxzxyyxzyyyyyzxzxxxzyxxzxzzyxxxyyzxyzzyyxyyyzzxxyxxzyzyyyxxxyyxzxxzxxyxxyxzyxxyyxxxyxzzxzyzyyzxzzxzxxxyxzxzyxxyxxyzxyxxyzzzxxxyzxyxyzyzyyzzzyxzxyzyxyxzxyyxyzxyzzyzyyzyzzzyyxzzyxxzyzzzyxxzxyyyxxxxyyzxzxyzxzzyzxzzzyzzzyxzyxxyyxyxyyxyxzzyzyxzyzxzyxzxzyxzxzyxzyxxyyzxzyxyyyyyxyxyyzyxzxzzzzxyyzxyyyxxxyxxyyzyzxyyzyzxxyyyzzxyzzyzyxxyyxzxzxxxyzyyyxyxzyyzyxxxzzzzyyzxyyyxzxyyyyzzxyzxxyzxzyyyxyzzxzzxxzxyzyzyyxyzxyxxzyxyyyxxzxyyyzyzxxxzzxzzzyzzzxzxzxzyzxyxzyyxzyzyyzxyyzxzxzyzyyxzzyzzzzzyyzzzyyyxzyzxyzyyzzzxyyxzyzyyzyxyzzxzzyxzyyxxzxzyyxxyyzzyyzxxxyyxzzyyzzxxyxyzzyxyzxxxyyzyzzzzyzzyxyxxxzyzxzyyzzzxyyyxyzxyyyxyyzzzzyzxyzxxyzxzzzxzyyxzyxyxxzyyxzzxzzyzyzzyyzzxzyxxxxzyxzzzyxxyxyyzxxxzzzyyyzyyxxxzxxzzzyxzzyzyyxxyxyyyxzxzzzzzxyxxyxzzzyyzzyzyxzxyzxxzzyyxxyxyzxyxyyyzzzzzxxyzxzzyxxzzxxyxzxyxyxxxxxyyxxzyyyyyzxxxxxyyzzxzxxyyyxzzyxzzzxxxxyyyyzyxzzyyyzzzyyxyzzzxzyzzxxyzxyzxzzyxzxyyzxzzxyxzyyyyzyzxxzyzzxyxzyyzyyyyyzyyzyzzyzzzyyxzzxzzxyyzyzxyzyyzzxyzxzzxxxzzzzxxzyxxxzyyyzxxzxzxyzzzxzzxyzzyzyxxyxxzyyxxxxxyxxzzyzyyxxyxzyxxxxxzyzxyxzxyyxzyzxxxxzyzxyzxyxzzzxzzxzzxxzxxyxyyzzzyxxyyxzzxyzxyzzyzxzxzyzxyzzxxyzxyxyyzyxzzxxxzxxyxxzxzzyyyyzyzzyxzyzyyzxyzxyyxxyyxyxxyyxyyxzzxxxyxzxyzzzyyzyyxyxyxxzxzxxzzzzxyxyzxzyzyxyzyyzxyyyxzzzxzzyyzzxzxzxzyyyyxzyzzxxzxzzzzxxzzzyxyxxxyzzzxxzxzzzzzzxyyyyxzyzyxzyzyyxzyyyyyyzxzxzzzzzxzxxxzxzzyzzzzzzyyyzxyyyyzyyyxxyzzzyzzxzxxzyyzyzxxxyyyxyyzyxxzyxyyyyxyxyzzzyyxzzyxzyzzxzzzxzyxxyxxyxxzzyyxzzzzyzzxyyxxzyxyxyxxyzxzzxzzyyzyzyyzyyyyyyxyyxxzzyxxxzxyyyzyxzyxyzxyxzzxzzxzzxzyyyxzzyzyxxzzzxzzzyxyxxzzzzxyzxyyzxzzyyzzxzzzxyzzzzxzzzxyxzyzzyyyzyyyyxzxxzyzxxxyyzyzxzzyzzyxxxyzzyyzyyxyzzzxxzxzxzyyyzxxzyzxyyzzxzzzyxyyzzzxyyzxxyxxzzyxzxyzxxxxxxyyzxyzyzzzyzzxxxyyzyzxyxyxxyxzyyyzzxzyyzyxyxzxyxyxzxyzzxxyxxxyyxzzzyzxxxzxxyzxzxxzzyzyyzxzyyyxyyyzzxyyxyxxxyxzzyyyzxxyxxzzyzyxxzxzzzzzzzyxzyyyzxyxzxyzzzzzyyyzxxyzxzzzxxxzyzxzzzxyyyzyzyxzzyxzyzyyxzxyyyxxzyxzzyyzxxyxzzyzzzyyxyyxyyzyzyyyyxxzxzxxzxxxzzzxxzxyzxyyyzzyyxyxzzyyzzyxzyxyzxzzxxxxyzxyxxxxxzzyyxxzzyxxyzxxzyyzyzzyxzzyyzzzyxxxyyxxxyxyzzyxyzzzxyyzxyzzyyyxzzyzxzyzxxyxxzyyyyxxxxyxxzxxxxyyyxyxyzyyyxzzyyyyyyyzxxyyyxzzyyzxzyzzyyzzxxxzxyxyxyyyxyzzyxzxyzyxxyxzzyzzyzzyyzzzzzyyyyyzxzyxyyzxyzxxzzxyyxxxzzyzxyzzxzyxzxyxxyyxyzzzyxzyzxzxxxzyyzzzyyxxzzzzyxyxzzxyyzyzyyyxzyyyzyxxyyzyzxyzyzxyzyxxyxxxzyxzyyzyzyxxzyzyzxyzzzxzzzxxyxxzxzzxzxyxxzzzyzxyyxzzxxyzyyzyzyyzyxyyzyzyzzzzyxyzzxzxzxxxxzxzxzzyyyyxzyxyyzzxyyxzyyxzyyyxzxxzyxzyxxxzyyyyyxxxzzzyzxxxzyzxyzzxxzzzzxyzyzyxxyxyyzxzyzzxzzyxyzxyxzzyxzzyyzyyyxzxzxyyzyyxxyyxyyzxzyyxxyzyxxxyzzxyyxxyyzxxxxyxxxzxyzxyyyyyyxyxyyzxzyyyxzxyxyzyxyyyxyxzzxxxxxzzxxxzyzxzyzyxyyxzyzzyzzyzyyxzzxyxyyzxyzyzzzzyyyzyxxyyyxzzzxxzxxyxxyxyzzyyyzxxzyxyyyyzxxxxyxxyxyyyxxxxyzyzzyyxyxzyxzyzyxxzzyyyyyzxzyxyyyzyzyxzzyzzyzxyxzyzxxzxxyzyyzxxzyxyxxxzyyzyyxyyxxzzzyzxzyxxzxyxzxyzyyyyxyxzxyzzyzzzyyzzyxzyxxzxyyzzxxxzyyzxxxxxxxzxxxzyxxxzxxxzyyxyyxyyxyxxzyxyyyyzxyzzyzxyxzzxyxzxxyzzxyxyyxyyxxxzxzzxxxzxyxxyzzzxyzyyyxzyxyzzxzzzzyzzyyxxyyzxxyxyyyxyxzxxzzxxzxyxyyzzxzzyzyyxzxzzyzxzxxyxzzzxyzyyzyyyzyxyyzzzxzzyyzzzyxyxxzzzyyyyyxzzzxyzzyzyyyyyyzxzyzxyxxzxyxzxxzyxxxyyzzyyyyzzyxzzyzzzzyyzxxxyyxyxxyxyyyzxzyzyyzxxxxzzzxzxxzxyxyzxzzzyyxxzzzyxxxyyzxyxyyxxyyzzxyxxyzzyzxxxxzzzzzzyyzzyyzzyyyyyxzzyxzxzzyxxxxzyxyyzyyzxyzzxxxzyxxyyzzzxyyxxxzzzyzyzxyyyyyzzyxzzxxyyyxyxyxxzzzyxzxzyyzzyzxxxzxyzxxxyyxyxxxyxzzxyzyyzzxxzxyyxxyyzyxxyxzyzzyyyxxyxzxzzxxzzxxzzzzzyxzxxzzyyyzyzyxzyyxxxxzzyzxyxyyxzyyyzzyxzyyzyzzxzyyyyyyyxzyyxzyyyzxxzzzyyxzxzxzyzyxxzyyzxxxyxzyzxzzxxyzxzyxxzxxzyzxzzyyxzxyzxzyyxyzyxxzyyzxzxzzzyzyxxzxzxxxxxzxzyxzxxzxxxxyzxzyxzyyxzzyxyyyyyxxyxzxxyzzzzzxxyzxyxxyyyyyyzzyzzyyyxzxzzxzxyyxxyzyzzzxzyxzzxyzzyxxyxzxyxzzxxyzxyxxyzzxzyxyzxyzxzyyyxzxzyyxyxxyyzzyzzxzzyxzyyyyyyxxxzzyzzyyyyyxxzxyxzxzyxxzyyzzzzxyyyzzzzzzxzyzyxyxyzyyxyzzyxxyzxzxzzzzxyyzyyxyxzzxxzyxyyxzxzyyzzyxxzxzxyyzxyzyxzxxzyxzzxzzyxyxxxyyxyyyyzyxyxyyyzzzyxyxyzxxyzzzzzxxzxzzxzyzzxzzzxxyzzyyyzyzxyzxxyxxyyxxyzyyxzzxyzxzxzzyzzxzxyzxyyzzxyyxxxxzyyxxxyzyxzzyyyyyzxzyyyzxyyzxxzxyzzyzzzzyxxzyxxyzzzyyyxxxzzxzxyxxzzxzyzxxyyxxxzzyxzzyxxyzzxxyzzyxzyzyxyxyxzyxxzxxyzxxzyxyxxyzyyzzyyzxyyxxzxxyyyxxzxzyxxzxyyxxxyzzxxyxxxzxzyxzzyzzxxxzzyzyzzyxzxxxyxzzzzyyzxxzzxxyxzxxxyxzzxzzxzzyzyxzyyzxxyyxxyyzxxxzxzzzzzzxxyxyxyxxyxyyyyyxzxzzzzzyzxzxyxyzyzyzyxyzzxxzxzxyxyyzzzxxyxzyyxyzzzzxzyyxyyxzzzyxzxzyyzxxzzzzxyyxyxyzyzzzxxyzzyxxzzzzzzyxzyxyzyyyxzzzyxxxxzxzzzyzxzyxyzzyxxyxzxyxzxzyyxzzyxxzyyzzzxyyxzxzzxyxzzzxyzyyzyzzzzxyzzzyzxzxzyxzyyzzxyxxxzxzxzyzzxzyxxzzyxzzzxzyxyzyzzzzxxyzxzxzyxyyxxyxzxxyxyzyxyxzzxxxzzxzzyxzyzxzyyxxyyxyyxyxxxxzyxyyzyxyzzxzzyzzyyzyzxxxyyzyyyxyzyyzxyyyxyzxyzzxxzxyxzxyxxzzzzyyzzzzxyzyzzzxxyzzyxxyyyyxyzzzzyyxxxxxzzxyyxzxzyxyyyxzzxxyzzzxxxxzzzyyzyzzxxyxxzyzzxxzxxyxyzzzxzyyxxyxyxxzxxxxyxzxxyyzyzzzzyyzyyyyyzxzzyxyzyyzxyyzzxzzxzzyyzxzyyzxxyzzxzzyxzyzyzyzzzzzxyxxxxxzxxyxyyxyzzyzxxyyyzxxyyzzyxxxxzxyyyyxxxyyyyyxzxxyxzyyzxxyzzzzyzyxyzzxyyxyzyyxzzzzyyyzzyzxzxxxzxyyxyyyzxyxxyxxxzxyzyxzxxzzxyxzyxxyzzzxyyyyyyzxzzzyzxxzzxyxxzxxxxyxzxyyzxxyzyzzxyzxxyyxyyxyxxxzzxyyzzxzzxzyyxyxyxxzxxzyyzyyyxyyxyzzxxzzzxyxyxzyzxxyzxxzyxxzxzxyxxyxyxzxxyzzxyxxxyxxxyxzyxzyzzxxxyzyxzyzzxxzxzzyyyzzyxzxzzyxxxxyyxxxyyyyxyyxzzzxyyxzyxzzxyyxxzyyxyyyzzzxxxzyxzzxyzxzyzyzyxzxyzzzxxxyzyyzxyzyzzzzxyyzzzzxyzzzxzxyzyxzyyyyzxzxzyyxzyzzzzyyyzzxzyzyzxxzxyyyxyxxxyyyzzxxyxyxyxzxxxxyzzzxxzzzxxzyxxyzxyyzzxxxzzxzzxxyyxyzyxyyzyzyyzyxyzyxzxzxxxyzxyyyyzzzzzyzxxzxxxxzxxxzyxxyxyxxyyxyxyyxxyyzyxzxxzxzzyyzyxzzxzzxyzyxyxzzzzyyzzzyxyzyyyyxyyzzzyxyyxzxyxzyzxyxzxzzyxxxyxxzzzxxzyzxyzxzzxxyyxzzyxyxzxzyyzyzyxyzzyyzzyyzzyyyyxxyxzzxxxzzzyxyxyzxyyyyzzxzyxxxzzzxyyyzyzxzyyyyzyyyxyxxxzxzxxxzzzxyxyyyyxxzyyyzxyyxzyxzxxyyzzyyzzyzzxzzyzyzyxzyxxxyzyxyzyzxyxyxxxxzxzzxxzyxxzyzyzzxyxzyyzzxyxzxyxzxyyxxzzzxyyzzzxxzyxyzxyzxzzxxyyyzxxxzxzyyzzzxyyxyyxzyzzxzzzxyxzxzxzzyyzzxyxxyyzzxyyxzzxxyzzzzzzyxxzyyzxzyxzzzxxyyyzyzxxxyzxzyyxxzzzyxyxxyyxxxyyzyzzyxyxzzxzxyyzyxyyzzyyyxzyxyzxyxyyzyyyxyzyyxyyxyxxyzzyzyyxzzyxyyyxzzzyxzyxyxyyxxzyzzzzxzzzzxyzyyzxxzzzyxyxyxzyyxxzxxzzxxxyxzxzzzxyxzyzzyzxyxzzxxzzxxxxyzyxyyyyyyxyzxxxzyyyzzxyyzyyyzyyyyxyyxxxyzxxxyzxxxzxxxzzyyzxxyxzyzzzxyyyxxxxxxzzxzxzxyzzzxxxzyyyxyzxzxzyzxzzyxyxzxzyxyzyxzzxyyzxzzyzyxzyzyyxxzzxyxyxxyyxyxxyxyzzxzzxyzxzyyzzxyyyzyyxzzxxxxyxzyzxxyyyyxyyyyzxxxxxyzzyxxyyxzxxyzzzyxzzxxzxyyyxxyxxxyxzzxyxyyxyyxyzzyyyxxxyzzyyxyxzxxyzzzyzzxzxyyyzzyzzzyyxyxyxzxyzyxxzxzzyzzxxzzyyxxzzyyzyxxxyyxyyxyzyyyyyzzzxyzzzyyyzxxzxzyxzzxzxzyzxxyxyzyxxxyyzyyxxzzzxyyzxyxxyzxzxzxxxzyxxxxxxzyzxzxzzzxyxxyzyyyxyxzxxxyyzyxxxxyyzyyxzxyyyzxzzxzyzxyzxzyxxxzzxzxxyyyxxyxxxxzxzxzzyzxzxzxyzyyyyxzxzxxyxyxxzxxzzyzxzyzyyzxzzxyzzzxxyxxxzzyyzxyyzyxyyyyxzxzyzzzyyxzyzzzzzzzxyxxyxyyxxxxzyxyzyyxxzxxzxzyzxyxyyxxyxyzyyyxxyxzzzxzyyyzzzxzyzyyyxzxyzxxyxzyyxzzxxxyyxxxyzyxxyxxyyyzxzzyyyxyxxyxyyyxyyzxxzzzxyyxyyxzxzyxzyxyyxyxyyzzyxyzxyyzxzzxxyzxyxzyxxxxyyxyyyxzzyzxxzzyzzxzzzxzyxzzxzzzzzxzxyzyzyzxyzzyzxxzxxyyxxzxzyxzxyxzxxzyyyzxzzzyzxxyzxyzxzyxzyxxxzyxzxxzxzxzxxzyxzzzyzyxzxzxzxyxxzyzyxzxzxyxzyyxxxyxyyzxxyyxzzyxyyyzzxyzxzzyzyyyzxzzyxyzyxxzxxzyzxxyxxyyxyzyxzzxxzzyxyxyzxyyyzxzyzyzxzyyzyxxyzyxyyzyyxyyxyzyyyzyxyyyyzyzyyzxxyxyyyxzyxyxyyyyxzzyzxxyzzxyyyxzzxyxzyyyyzyyyxxyzyyxzzxxxyyxxzyyzzyxyyxzxxxxyyyxxyxyxzxyzzyzzyzxyzxxxxyxzyzyzyzxyxzzxyzxzxzzyyyxyxzyyzxzyxyyxzxxyxyzzyyyyzxxxxxzyzzxyxyyxyyzzzzzxxyxyxzyzyzxyzyxxyyxyzyxxxyyxyzyxyzxyyxxyzxyyyxyxyyyyyyzyyzzzxxxyzxzyzzyyxxzyyzzzxyzxzzzxyzzxxyyyxzzxzzzxxyxxyyxyzzxyyxxzyxyyzyxyxzxyyyyxxzxxzyzxyxyzzyyyyzxxxzzzzyxyzxxxyzxzxyzyxxzzzyxzzxxzyyxxyyzxyyxxxzzzyxyxyxzxyxxyzxzzyzxzzzzzyxxzyzzxxxzxzxyxxyxzzzyxxxxyyzzxzxxzyyyyxzyyyyyzzyxzxxxyzyxxyyyyxyyxzzzzxzzzyzzxxyxyzzxyyzyyyyzzyzyxzyxxxxzzyzxzyxyyyyxyzyyyzyxxzyzzzzzyxyyyxyyyzzyxzzxzyyzyzyyzyyyzzxzxyzyzzxyzzzzyzyxzyxyzxxzxxyzxyyxxzzzyzxxxxyyxxxzzyyzzyyzyyyzzzzyxxyyyxzzxzzxyxzzzyxzyzyxzyzyxzzyxyxzxzyxyzyxxxzzzyzxxyxyyyxxyzzzzxzzzzzxyxzzyxzzzyxzxxyxyzzyyyxyzyzyxyyxxyyzxyxxzzzxxzyyyxzxyxyyzyyxzyzxyxyzzzxyyyxzzxzyzxxxxxxyzyzyzxzzyxyxzzyyzyyzxyxyyzxyzzzzxxzyzyyzyzzxxxxzyzxxxyyzyyxzyxxyxzzyyzzzyzyzyxyyzxxzxzzxzzxzxzyyzxxzyxyzzyzxyxxyxzxxyzyxyzyzzzyyxxxyzyzxyzzzxyxyzzyxxzxyxzzxzyyxzxyxxyyyzxyxzyyyxxzxzxxyzyxxzyyzzyxzyxxzxxzyyzyyyzxzyxzxyxxxzzzzyxxzzxzzyyzyxyxzzzyzxzyxyxyyxzzzzxxzxyzyyzxyzxxxzxxyxzyxyyyxzyyyzxyxzzzxyyyxzyyxxzzzyzxxyyyzxzyyxyzzxzzxyyzzxzxyzzyzxxxxyzzyxxxzxzyxzxzzzzxxzxzzyxzzzyyxzyzyzzxxzxzyyyyzzzzyxxzzzzzzzyyxxzyzyyzzyyzzxxyxxxzyzyyzyzzxzyxxyyyyxyxyxzxxyxzxxyxxyzxyyyxyxxzxyxxzyzyxxzyzxzxzzyxzyxzzxyxyzzzxxxzyxxyyxxzzxzxyzzzyxyzyyzxxyyxxxzzzyyzzxzzzyxxyxzxzyyyyxyxyzxyxzyyyzyzzyyyxxxzxyxxxzzzxzyxyyzzyyxyzzxxzzyyyyzxxxxyzxyxxyyzzzxyyyyxyzzyyzyzyyyzxzzyzyzxxxzzzxxzxyyyyyyzzzzxxzyyzyxzxzyzxzzzxzzyxyzxyxyzzzxzxyyxzyzyyyyxyyzzyyyxzyyzzxxyxzxxxzxyyzyyzzzzyzxzzzzyyzzzzxxxyxzyxxyzyzyxxzzzxxyxzzzzyzzzzxxzxzyyxyyyxyyyzyxyyzzyyzxzxxzzxxzyzyzzzyzzxyzzxyxyxyyzxzyzyyxxzzxyyzxxxzxzyyzyzyyzzxzyzxyyyxyyxxyyzzxyxzxyxyxyzzxyxyyyxyyxzzyxyxzxxzyxyxyzyzyyxxxzzyxzzxxxxxyxzxyzzzzxzxyxxyzzzyxyxyyxyxxyxzxxxxxxzzzzzxzxxzzyxyzxyyyxzyxyzyzxyyzzxxyzzxxzzzxxyzxyzxxyxzxxxzxyzxzyzzxzzyxxzyxyzzyxxyxzzxzzyzxyxxxxyzzzzxyzzyyxyyxyyyzzzxzyyxzzxxxxyzyzzzzzyzzzxzzxzzyzzzxzxxyyzyyxzzxzzxzxzyzzzzzxzyxzzzxyxzzyyxxxyyyzxxxxyzxxxxzzyxxxzxzzxyyyyxyzzyzzzxyyyxzyyzxyxyyxxxzyxzyyyxxzyzyzxxyxyyxxzxxyxyyxyyzzyxyyzxzyzyzyzxzxxzzxzyzzyzyzzyxzyxyxyzxyxyxxyxzxyyyxyxxyzzxxzyzyzzyxyyxyzzxyxyxyzxxzzzzxyzxxxxyyzxyyxyzzyxxxyyzxxyxzxyyzxxxxzxxzzzyxxzzxxzyxyyyxyxxzxxzyxxxyzzzxxzyxyyzxzxyyyzyzxyzyxxzxzxzxzxxxxxzxyzyzzyzxxxxyyxyyxyzyxyxzzyxxyzxyxzyyzyxzyxxyxzzzzxyzyyyzyxxzxyxzxzzyyyyxxyzxxxzzyxzxzzzyzzzzzyzzzxzzxzzyyyzyyyxxxxxzyyxxxxyyzzyzyzzxzxyzzzzyyyyxzzzyyyxzxyyzxyzzyzxyxxxxxxzyxyxyxyzzyyzyzzyzzyzxzyzzyyyxyzzzyzxxzzzyzxyzxxzxzzzxzyzyxzyyxyzxyzyzyyxzxyzxzxyxzyyyzyyzzxzxxyyzxzyyyyyxyxyzyxxzzzyxzzyxxxyyxxzxzyxzzxyyzyzyzxyzzyyyxzzxzzxyzyyzyxzzzxzxzzxzxyxzyxzyyzyzxxxyzxzzzyzzyxzzxyyxyxyzxzzyzxyyyzyyzzyyyxzyxxxxyzxyzxzyxyyxzzzxyyxzzyyyxyxzxxyxzyyzzyzzzxyzxzyzyyzzxxyxzyxxxzxzyyzyzzyzzzxzzzyyxyzyxyxxyyyzyyzxxzxxxxyzxxzxzxxyyxyyxzyxxxyyxxzzyyxxyxyyyyyxzyyzxzxzxxxzzyyzyyxyzxxyzzxyzyxxzxxzzzxxxyyxyxxyzxxxzzyzxyyzyyyyzyxxyzxxxzzxyzzxzyyzxxxyxyzzyxzzyzyxyxyxxxyxxxxxzxyxxyyzyxyxyxyyzxzxxzxxzxxyyzzyyzyyyzzzzyzxzxxzyyyzyzxzxyyyxxzyzxyzyzyyzzyyzzyyzxxxzyyyyyzzxyxzyzxyxxzzxxxxyxzxyxzxxyzzzyxxzzxxyxyzxyxzzxzxyzyzyyxxxxyxxxzxzzzxxyzyxyzxzzxzxxzxxxzxzxxxzyyzyxzyzxzzzyzxzyzzxzxxyyzxyyxzyzyxyxyxzzxyyxzyxzzzzyzxzzyzxyzxxxzzzyyxxxxxyxyxzyzzxzzxxxyxxxxzxxyyzxxyzzzxzyyzzyxxxxxyzzxyyxzxxyxzzyxxyzyyxyyyxzzzzyxyyxzzzxzyxzyyyxzzxyyxxxzxyyzyzzxyxzzzxxxzzxxyzzyzxyyxxxzzxzzzzzxzyxzzxyyyxxxzyyzxzzzxyxzyxzyzyyyyyzyzyzyzyxzyyyxxxxxxyzzxyxxxxxxyzxyyxzyyxzxxzyyzxxzxyyzzzzyyxzyyyzxyyyxxzyxzxxxzzxxyzyyxxxyzzzxxxyxxzxzzzzyxxzzzyzzyyxyzyzyxzxxxzzzyyxxxzzyxzzyyyxyxxyyzyzxzzzyxzzzyyzxyxzyzxxzzyxzxxxyyxzzzzxxxxzyzxxxyzxxyxyyyzxxzxxyxxyyzyyzxzyxxxxzxyxzyzyxyxyxxxyyyxxxyzzzzzzyxzzyyxzyxxyxyzxyyxyxxyxyxyxxxxyzyxxxzzzyxxzzzzzxxzyzyxzyyzzzxyxxyxxyxzzxzyzxzyyyxyzxxxzyzxyzyzxxyzzyxxzxxzxxyyyzyxyzzyzyxxyxxyyzzyxzxxzxxyxzyyxzyxyxxxzzzzzxyxyyyxzxzxzyyzyxzzxzyyxzzyxyxzyzzxxxyyzyyxyyxzzyyxyyxyxxyzzyyxxzyzzxzxyzyxyzyzyxxzyzzzxyzzzzyyyxxzxxzxyxxxxyxxyzzyzzyxyxxyzyzyxzzzyyxxxxxzxzzyzyzzzxzzzyzyxxzxxzzxyzxxyxzzyzyyzyyxxyyzyxxzyyxxxzyzzxzyxzzxzzzzzyzxxzyyxyxxzzzzyyyyxyxxxyzyzzzxxxzxxzxzzxxzzyzyzyzzyzxyzyzzyxxyyzxzyyyyyxxxxxxyyyxxxyyxyzxxxzyzyyzyyyxxxyyyyxxyzzzxyxzxyxzyyyyzzzxzzxxyzzxyxyyzzxyzzzxzxxxyzxxyxyyzyxyxzzxyxxzyyyyzxzxxzzxzyyzyzyzxxzxxxyzyyyxzxyxyzzyxxyxxxyzzxzyxyzzyxzxyzzzyzyyyxyxxzxyzyzzyzxzxxzzzyyxyxxyxxzxxyzyzyzxxzzxzxzxyzxzzyxzzxyxyxxzyzyyzzyzyxxzzyzyzxxxzzxxyzyzxxyxzyxyzxzyxzzxzyzzyxxzxyxxyxxxxyyzxzzzzzzyxxxyxxzxyzxxyyxyyyzxyyyzyyyyzyxxxxzxyyyzyyzxzzyzzyzyyzxzyzxyyzzzyzxxyzxyyzyxxxzzzzxzxzzxzxzyyzxyxxxzxxzxxzxzyxzzzzyzzyxyzxzzzxxyyzxxzzzyzxyxyyzyzzzxxzzxyxyzzxzyyyxyzyxyyxyxyzxyxyzxyxzxxzyxxzxxyxzyyyzxzxzxyyxyxxyyzxyzyzzxzxzzzzyyyzxxzxyxxxxzzxyxzzzyzyzzxzzxxxyzxzxxyzzyxxzzzyxzxzxxzyyzzzxyyzyzxyyxzyxxyzyzzxxxzyyyzxxxyzxzyyxxzyzzzxzxxyyyxzxyzyxyyzyzxyxyyxzyxyzxxxyyxzzyxzxzxzxxzyyyyxzxxyyyyyyyzzzzzyxxyyxxzxxxxyxyxyzyxzzxyyzzzzzyxxxxxzyxzzzzyxzxzxyyyxyxzzzyzzyzzyzxxxzyxzxyyyyzxyxzyyxyyxxxxxzxxzxyzxzzzxxzyyzyzxyzzxyxzxxxxyzyxyxxzzyyyxyyxyyxyxyzzzyyxxyyxxxxyxxxxxyyxzzzyzzxxxzzzyzxzxyyyxxxxzxzzxxxzxyyxyyzxzxyyzxzzxzzzyzxyzxyxzyyzyyzyyxxyzyzxyyzzyxxyyyyzxxxxyyxyzyyyxzyyzxzxxyyyyzzzzxzxzxyxzxxzxxyyxyzzyxzzyxxzzxyzxyzxzxzxzxxxxzxzzxxxzyxyyyyzyyzyyzyxxxzxyxxzxxxzzxxzyxyxzyyxxxyyxxyyxyxxxxxzxyzyzzxyxyyzzyzzyzyxzyzyxyxyxxxxyxxzxyxzyxxxzxzxxzxyxzzzxzyxyxzyzyyzyyyyzyyxxxxzyzxxzyzzzxxyyyzxyyzyxzzzyzzxxxxyzzyxyxxxyxxyxxxyyxzyxyzxxyyxzyzyyzxxxzzzyyxzyxyzyyxxzzzxzzyyxyxxyyzyxyzxyyxxxzzzyxzyzxyxxyzyzxxyxyyxyxyxyyxxyyxyyxxyyzyzxzxyxxyyzzzzzyzzyxyyxxxxyyzxxzzxzzxxyyyxxyxxxxxyxzxyyzyzyxxyyyxyzzxyxzxzxxxzzyzzzyyzzyyzxxzxzxzyyzyzxxyzzxzyzyzyxyxyyxyzzxyxxyyyyyyzzxyzzyxzzyyxzzzxyzxyxxyyzyxyzyyxyyyzxzzxyxxyxxyyyyxxxzzxzzxyxxyyzxzxxzxzzyyyzzzyxzzxyzyyxzyzyxyzyyxzyyzxxxyxzyxyyzxzyxzzxzzxzzxzyxxzzxyxzzzxyzxxxyyzxyxzzyxyzyxzzxzzzxzxzyzyzzxyxzyxxxxyzxzyzzxyxzyyxzyxxzxyxyzxxyyzxxyzyzxxxzzyxxyxxxyyyzxzxyzxzxyzyyzxyzyxyzyzzxyyyyxyyzzxxzxzyyzzxzxzyxyxzzxyxzyzxzxxxzxyzzzyxxyyyzzyzyyxxyzyzxyzyxyxxyzxyzzyzyyyxxyzzzxyyxyzzyyxyxxzzyxxyxzyzyxzxzxzxyzzzxxyyzyzxzzyxxxyxyxyxzzxzyxyzxyxzxzyyxyyyxzyzxyxxyzyxyxzyyzzyyzzyzzzxyxxyyzxzzzzxzxyzzyyxxyyzzyyxyxzzzyyxzyzyyzzzzxzzzzzyxxxxyxxyxxzzxyyyxzzxxzyxzyzxxzyyzxxzzxzyxxxxzzyyzzxyzxzyzzxxxxyzzyxxyzxzzzyyxxyzzyxyyzxzyxzyxzxzzyzyzyzzzxxxxyyzxzzzxzyzxzxxyzyyyxyzxzyzzxxxxyzxzyzxzxxyxxxxxzyzxxzxxzzxyzxxxzyyzxxzyxyzzzxyyyxxzxxzxzzyyyyzyzzyxxxyyxxyzzzyxyzyyyzyxzxxxyxxxxzxyxxyxyxzyzzxzxyyzzzxxzyxxxyxyyzxxxxxzxzyxxzyyyzxxyyxyyxyyyzyxyxyxzyyxxxzyyyzxzzyzxxyyzzyyyyyxzxzzxzyxzxxyzzyyxxzxyyxyzxzzzyxyzxyxxyxyyzzyzyyzyyyzxzyxxxxzzyzyxxzxzxxyyxxyxxzxxzyyyxyzzzzzzzzyzzzzxzyyxyxxyzzzyzyzzzzzyyxzzxzyzxzyxxzyzyxyzyzyyxyyxyyxxxxyxxzzyxzyzyxxxxxzzyxxxxzxxzyyyyyxzzzzxxyzyzyyzzzyzzxxyyxxxyzyxyzzyzyzxxzyyxzxzxxyxxzxyyxxzxxyxyxzxxxzxzzzzzxxzxzyzxxxzxxxyyzyxyzxzxxxxxzzxyyxyzzxzxzxyzyyyxyxyyyzyyxzzyyyxyzzxyxxxyzzzzxxxyyyyxzyzzxyxxyzyzzyyyzzzxxxxzxxxzzxzyxxxzyyyyzzyyxxzxzyzzyzyxyyxzyxzzzzyyzyxxzxzxyxzyxyzxxzxzxzyyxzxxzzzzzzzzxzzxzxzzxxxyxxxyxzyyyxyyxzyzxyxzyzxzyyyxxzzxzyyzzzxzyyzyxxxxyzxxxxzzxxxxxzzyxyxyzyxxyzyzxyyxzzzxxyxyxxyyyyyxxzxzzzzxxzzxxxzyzzyyxzyxzzzxzzzzyzxzzzyxxxzxzyxzxyyyxyyxzxxxxzxyzxxzyzzzyxzzxzyyxzyyxxyzyzzyxzxyyzzzxxyyxxzzyyyyzyyyzxyyzzzyyzyzyyzxzyxxyzxxyyyxxzxzyzyzxzzxxxxzxzyyyxyzzxzxyyzxyyzzxxxzyzyyyzzzyxyzyzxyzyyxzxxxxxxzzxxzxzyzzyxxyxzzzyxzyxxyzzyyzxzxyzxxxzyxzyyzzzzxxxyzxzxyzxyyzzyyzzxxyzzxyzxyyyxyzzzxyyyzxxyyzxxxyxxxxxxzzyzxzxzyzyxxxzxzzyyxyzyyxxxxxzxzyzyzxyzzyzxxzzzxxyxxxxxxzyyzyxxyyyyyzyzxxyzyzyzzxyzxxyzxyzzzyyyyzxyzzzyxyyyzxzxxyzyxyzzxxyyyzyyyyyzzyxzyzxxzxzxzxyxxxzzzyyxzxxxzxzxzxxyyxxyzyyxzxxzyyyyyxyxzyzyzyxxyyxzxyxzyyyzxzzxxzzzzyzzyyzyzxzxzyyxyxzxzzyzxyxyzxyxxyzxzzzzyxzyxyyyxyzyyyzyxzzyzyxyzyyzxxzzxyyxyxxxxzyzyxzyzyxyyzxzyxzxyxzzxzyyyyyxxzxyxyzyzxxyxyxzzxxzyyzzyzzxyzyyyxxyzzzxyxzyyzzxxyyxzzzzyyxxyzzxyzzyzyxyxxxzxzzyyxxyyyzzyxxzxxzzyxyyzxxyxxzyxzxyyxzyzyzxxxzxzzxxzyyzzyxxzyzyyyyzzxzyxyyzzzyxzyzxyyzzyzzxyyyxzxzyyyzzyyzyyyxyyxxxzyyyzxyxxyzyyzyxzxxzxyxxxzzzyyzzxyzxyyxxzyxxzxxxxxzyzxxyzyyxyxzzxzxxyzyzxzzxzyyxxxzyzzxyyxzyyxyxxyxyzyyxxxyzyyzxyyzxyyxyzzzzyxyxyyxzxyzxzyxzzzzzzzyzzyyxyyzzzzyxyyyzzzyxzzzyxzxxxzxzzyyxzzxzzzyyyzzzxyzxyyxxxyzxyzxyzzyxzzxzyxyzzyyzxxxxxzyyyyxyxxzxxxyxyyyyyxzyyyzyzxxyzzxzyxxyzzyxyyzzyzyzxxzyzzyxzzyyyxxyzyyyxyxzyzzxxyyxzxzyxxyzzyxyxyxyzyxxyxyzyxyxzyyyxzxxyzyyyzzyzyzyxyxzxyyzxxyzzyxxyyzxzxzzzxyxyxxxxxzxxzzzxzyxxxyxxxxyzyzzzyxxyxzyyzzzyxyxyxzxxxxxyzyzyxyzxyxxyxyzyzyzyzyzyzxzyyzyyxzxxzyzzzxyzyyyzyxzyyzyyzxyyxyxyxyyxxzxyxyxxxxyzyyzyyzxxxzzxzzzzyyxzzyxxxyzzxxxzxxxxzzzzzyzxyyzyyyzyzyxxyzzyyyxyzyyyzxzxxyyyxzyyxyzzyzzxyyyzzyxzyxzzxxxxzxzxzyzyyxyzzyyzyyxyzxxzzxzxzxxxzzyyzxxzxyyyyyxzyyxyxzxxyzxxxzyxzzxyyzyyxyxxxyzzzyyzxxxyxxyyzyxzzyzxyzxzyyxzzzzxyyzxxxxzxxxzyxxzyxxxyzzyxxxxxzxxxxzxxxzyxzzzyyzyxxyyxyyyzzxzyzxzxyzzzyzyzyyzzyyyzyzxzyyyxyzxyzxzzxzxxxxzxyxzyyxyxxzyyxzyzyxxzyzxxzzyxyxxzxyxyzxzyyxxxzxyyyzzyxzxxyxzxxyxyxzxzxzyyzyxxyzxxyyzyyxzzyyxyxyzyyyyzxyxyxzzzxzyyxzxzyxzzyyxxxzxzyyzzxzzyxxyxxyzxzyyyxxzxzzxxyzyxxyxzzxzzyyxzyyzxzzzxxxzzxyxzxzyyxzyyxzxyyxxyyyyxyyxzxzzzxyyyyyyzzyzzzxxxyxxzxyxxxyxyzxyyxxyzzyyzzzzxyyxxyzzyyzyyyzxzyxyyyyyxxyyyxyzyyxzyxxyxzzxzzxyzyxzyzyxxxzzyyxyzxxxxzyzzyxxxyzxyyyyxxzzzxzzyyxxyzxxxxzyxxyyxyzxxyyyyyzzxyxyxyyzzxxyxxyzyxxxxyxyzxyxyzyxyzyxxyxxzyyxxyxyxyxxyzxzyyyzxxxyzzzyyzxxzxzxzxxyzyxxzyzxyxzzzyzyyzzxyzyxzxzyzzxzzxyzyzzzyxzzxzyyyzxxxzyzxyxxzzxzxxxxxyxzzyyyxxxzyxzyyxxzyzzzxzyzyyzxyyxxyyxxxxyyxxyyxxyxyzzyzyzzzzzzzyxyyzxyxzzzyzyzxxyzyyyxzzxzxzxzzyxxxxyzyxyzxxyxyzyxzzyxxxxzyxxxxyzzyxxyzzyyxxzyxyzyyxxzyzyzxyxxzzyxyyzzyzxxyzyyxyzzzyyxyzyzzzxyzzyxxxxxxxxzyyzxxxzyxyyxyyyyxyyyxyxyyzyyxyzxzyxzzxzzzzxxzzyzyxzxzxxyxyyyyxyxyyzzxyyzzyzxyxyyzzxzzxxyyxxzzzzzxyyxzxzyxzxzxzyzyxyxxzyxyzxzzzyzxxzxxzxzyxxzyzzzzyyxxzyzzzxxyyyxxyxyxzxxyyxzyzzzxxxyzxxyzxxzxyxxxxzyxzxzyzyxzyxxyzyyzxyyyxxzxzyzxzzxxyyzzyxyxxyxzzyzyzyyyxxyzzyzzzzzyyxyxxzzxyzxyxzyyzyzyxzyzxxzyzxxyzyyzxzyzxxxzzzxzyyzzzxzxzyyxxxzyyzzzzxyzzzzxxyxzxxxzyxxzxyzyzzxyzyyzxzyyyzyyxzxzzxxxyyzzyzyyyzxyxzyxxzyyyyzyzxyxyxzxxxxxyxxxxxzyyzxzyzyzyxzyxxxxyxzzxxzxzyyyxxyxxyyxzzzxzzyyzyxzxyzyxzxyxzzyxyyyxxxyyxxxxxxxzyxzyyzzxxzxxzzyzxyzyzzyzzzyzyzzzzxxyyxxzxxyzzzyyyyzxxzyyyzzxxyxyyyzzyyyzyzyzxzyxzyzyyxzzxxxxzyxzzzyyzxyzyyxzxyyzyzyyyxzxzxzyxxxzxzzxzxzzyyxyzyyyxzyxyxzxzyxyxzxzyzxzxzyzxxyyzxxxzyzxxzxyzzyyyyxzxzxyxyzyxxyxyxxxxxyyyyxxyyxzzyzxxxxyzzxzyxxxzyxyzxzyxyyyxzyxxzzxyxzxyxzxzyyzyxxyyzzxzyzzxzyyzxxxxxxyyyzyxxzzyxzyzzyxyzxyzzzzyxzyyxzxzzxzzxzxxxyxxyxyyyzyxxzzzzzxxzxzzzyzyzxzyyxxxzzzzxyyyxxzzyxxyyxyzzyxzyzxyyyyyyyyxyyxyxzzxyzzzxxyyxxyzxzzxxxzxzyyzzyxzzxyxzzyxyzzyyzyzzzyyxyyxxxyyyyzzyxyzyxzzyzzyxxxyxyyzyxyzzzzyzyzzzzyyxxyxyyzxxxzzzyxyxzzyxxyxxzzzyyzxzzyxyyxyzzyzyzzyyxyyxzzyzxxzxzyzxzxzxxxzxyxzyzzxzyzxxyxzxxxxzyyyzxzxxyyyyxyzzzxyzyzzxxzxxxzyzxzzyzyyzyzzzxzzzyxzyyxzzxzyzxyyyyzxxzzxzyyzxyzzyxyzzyxxyxyyyxzyxzyxzyzxxxzyxzyxxyxxyxxzyyyzxxzxzzyyyyyxxzxyzyyzzxyzzxzxxyxzyyxzxzzzxzyyzzyyyyxyxzzyzyyxzyyyxzyzyyzzyxyxxxyyxxzxxzxyxzyxzzzzxxzxzxzzyxxxxxxyzxzyxyzxyyxyyxzxyxxzxzyyzyxzxzxxyzzzzxyyxxyxyyxxxxzyxyxzzzxyxxxyzxyzxxzxyzzxzxxxyzyzzxxzyzxyzzxzxxxyxzzyyxxyxzxxzyxzxzzxxxzyyxxyyyzyxzyxzyzxyxyxyxxzzzyyxyzxzzxzyxzyzyyzxxyyyxxyzyzyxxyyzxxxxxyyxzyzyxyzyxzzxxzxxyyzzzyzyzyyyzzxxxxzxyyzxxxzxzyyxxxyyxxxyzzxxxyxzyxxxxyxxyxzzxxxzyzxyyzzyyzzyyzyyyyxxxxxyzzxyzxzzyzyyzzyyyyxzyxyyyyxzyzyyxxxxyyxzxxyxzzzzxzxzyzzxzyyxxzxyzyxzyzxzyzzxxyzyzxxzyxyyxyyzzyzxxzzzzzyyyyxxxyzyyyyzxzyxyxyzzyzyzxzyyyzzyxyyxyzxxxxxxyzyzxxzzzxyxyyyyxxzxzxyzzzzyxyxyyxzxzxzxzxxyxyxzzxyxzyyzyzzzxzyyyyyyxxzxyzzzxzyyxzxzyyzyzxxyyxzzzzxzzyyxzzxyyxzyyyyzzyzyzzzxxyyxyxxxzyxxxyyyyzzzxyyzzzyzxyzyxzzxxyyyyyxyxyyyyxxyzyzyzzyzyyxxzzyyyxzyxyyxyxzxzxzyyxzxyyzyzxxxxyyyzxzyyzxzzzxyzyxxyzxxxzxyxyxxyzxzzzzzzyzxyzyxyyyzyzyxzzzyyyzyzyzxzyzxzyxyzyyyxzxyzxzxzxxxxzyzyyzxxyzxyyzzxyzyzzzxyzyxxzxxyxxyxxyzyzzzzyyyzzyxzxzzzzzzxyzxyyxxyxyxxzzyzyzxyzzyyxxxzyxxzzxzyxyxyzzyxyzzxyyxzyxxyxyzxxxxyzyxyzxyzyyxxzxzxxyzyzzzxxyzxyyyzyxzzyyyyyzyzzzzzyxzxzxyyxzzxxxzyxyxyzyxzyxyzzxxzxzzyxzzxxxxxzyyzzzzxxzxxxzzxzzyyyyxxxzzxzzyyxxxyxyyzzyxyzzxyxyzxzxyzyxxxzzxyxxxyzyxzzxzyyyyzyyzzyyyyxzxyxzzzxyxzyzyzyzxyxzyyzyxxxxyyyzzzxyyyxxzxzxzzyzxxyyzzxxxyyyxxxxyxzzxyxzxzxyyzyzzzxyxxzzyzyzyzxyzzyzyzyxxzzxzyzyzzzyzxxyxxzzxzyxyyxyyzzxzyyzxxzyyzxxzxyzxyyzxzzyyzyxxzxxzzxzyyzyyyyyyyyxyxyyzyxxyyyzyyxyyyxzyyzyyzyzyxxzyzxxyxzzyyyyzzxyxyyxyxzzxyzzyzzxzzzzzyyzyxzzxxzyyxzyyxxxyyzxyyyxxxyxyyzzxxyxxzxxxxyzzyzxzxyxyyxzxxyzzyxzyzyzzyzzyzzzxzyxzxxzxyyxzxzxyzyzyyyzyxzxzzxyyzxxzzzzzzyzxzzyzyxzzyzzxzzxyxyyyyxxzzzzzyxzzzxzxyyzxxyxzyxxxyxzyzyyyxyyyzxyzzzxzyzyyxyzxxzyxzyzzxxzyyyyxxxxzxxyxxxyxyxzxzyyzyyzyxyzzxxxxzzzzyyxyxzyxzxxxyyyzyzxxzzxxzzyzzxzxzzzyzyzzyxyzxyxyzyzyyzxyxzxxzyxzxyzyzxzyzxzzxyxxzxxxyxzyyzxxyxzzxyxzzyxxxzxxyzzzxyzzzxyyyxzyzxyzxzzzxxxzzxyyyzyyzzyxxyzyyxyyyyyxzzzxxzzyzyzxyzzzyxyxxyzxxzxxyxzyyxxxyyzzyyxzyxxzxyyyxyxzxzyzxyxxzxzzxyzyzyyxyxzyyyyzyzzzzzyyxzxyzyzxxxxxzzzyzzyyxxyzzzxyxxxzxyzyxzyxyxyyxxyzxyzxxyxxzxzxyxyxxxyzxzzxyzyyzzzyzxzxyzzzxxyzxzxxzzyxzxxyxxxxxzzyyzyxxxxzyyxxxyxyzxxyzyxxxyzzyyxzxyzzxyyzyyxzyyxxzyxxzxxyzyxyzzxyzxxzzzyxxyyzyyyzzxzxyyyyzyxyxyzyzxzzxyxzxyyzzxzyxyzzyxxzyxzzxzyzxzxyzxzzxzxzxxxxyyyxzyxxyzzyzyxyxyzxyyzzxzzyzzzzyyyzxyxyzyxzzxxyzyxxzyxxzxzxyyyyzyxyzxyxyyyxzyyzxxzyxyxyxzzyxzyxzyyzyzzzyxzxyyyxyyxzzxyyxyxzzyzxzxzzzyzxxyyxxyyzxxzyyxxzzyyzyyyxxyzzzxzyzyyyyzzzxzyzyxxzzzyyxyzzxyzxyzzxxxzzxxyxxzzyyyyzyyyxyyxxzzyyzxxxxxzxxyxyxxzyxxxxzxyzzyxyxyxzyyyzyzyzyyxzzzxxxzzxyyxxxzyxzyyxyyzxxyyzxzzzzxyzyyyxxyzyxxzyxyzyxxyzxyyzxxzyyzyxxyzzxxzzxzxyxzxzyxyxzxxyzxxxzxyxxyyzxyyyxxzxzyxzxzxzzxxyxxyxzxxzxxxxzxzxzxzzyxzzzyzzzzzzzxxzxxzxxyyzyyyyxzyyxxzzyzxxyzxxzxzzyyxzzzyzzzxxzyyyzxyyyxxyxyzxzxyxyzzyyyyxzxyzyyyxxzyzxyzzxzzxyyzzzxxxxyyyzyyxzyxyxyxzyyxxzxxzxzxzzzyzyxyyyyzxxxyzzzzxzxyzyxzyxzyzxxyzzxzxzxyyxzyyyyzxxzxxzxxzxxyyzzxxzzzzyxzxxxzzyyyxxzxzxxyxyxzzyxzxyzzyyyxzxyyyyzxyyzxyyxzyxzxzyyyyyzzyyxxxyyyyxyyzyxyyxyxxzxzzxzzzzyyxxyzzyzzzzzxxzyyyyzyxyxxyxzxyyxzzzxxxyyyyyxyzyzyzyyyzxzzyxxyyzyxxxyxzzyxzxyxzzzxxzzzxxzzxyzxyyxxyyyxyyzyyxzxzxxyzzyyxyyzxxzzzxxzzyyyxxzzyzxyyzyyxyyyyxzyxzzzyxyyzyyyzxyyxzxzxxyyyyxzzyyxxzxyxzyzxyzzzyyyzyzzxxxyxyyyyyyyzyzyxyzyyxxzyyyyxyzxyxxzxxxyxyxzzxxxxzxxzyyxyyzxyyzxzyxzzzzxxxxyxxzzzxxzyxyzzxzxyxxyxxzzzxzyzxxzyxxxxzxyzzyxyyxyzxzzyzxyxyxxyzzxzzxyzzxxxxyxzyyzxxxxxyzxxxzxxxxzyzxyzzxzxzzzxzxzzzxxyxxzzxxxxyxzxxxzzzyyyyzzxzyyxxxzxzzzxzzyyzyyxzxyzzxyzzxyyzxzzyyxyyzyxzxxyzxxyzyxyxzxxyzxxzxyyyyzyyxyxxyyxyxxzxxxyzzzzyyyxxyzxxxyxyyyxyzxzyxzyxzyyyxxyyyzxxyzzyzyxyyyyxyyyxzyyzzyzxyzzzxxzxxyxyzxzxyzxyxzyxyzxzzyxyxzxzyyzzyyxyyyxyzxxzzzzzzzzzxzxzyxzxxxzzzzyzyyxxxxzyyyyyzzyyxyzzxyyxyyyzyzzzxxxxyzzxyzyzyzyzzxxxxzzyxzzzzyyxxyzyyyyzzzzyyxyzzzzzzzxzzyxxxyzyzzyyzyyxzxyyxxzyxxyxxyzyyxyxxzyzzxxzyxxyyzxzzzzzxyyzxxxyyzxyxyxyxyzyzzyzzyzyxyzxzxxzxzyxxyxyxxzzzyyzxxzzyyzzxzxzzzyyyyzxyxxyxyyzxyzxxyzyzxxxxyyzyxzzyyxxxzyxyzzzyxzyxxzxzxyzzxxyxyxzzxyxxyzyzxzxxzyxzxyyyzzxyxyzzzzxxzyzxzxzzzzyzxxzyyyzxzyxxzzyxzxyyyyxzxyxxzyxyzzxyyzxzzyyyxzzyxyxzxxzyxzzyyxyyyxzxxxxyzzyxxxxzzyyxzxyyzzxzxyxzxzxyyzyzyxyzxxxyzyzzzxxxxxxzxzxxzyzyxyyxxxyyyxyxzxzyzxyyzxyxzxzyzzzxzyyzyyyzyxxzxxyzyxzzxyyyyyxyyxzzzzzzyxyyzyzzyzxxyyyyxzyxyzyzzyzzxyyyxxzyzzyyxzyyyxyyzzzxzzzzyyyyzxxzxyxyyzzyzyzyxxxyyxxxzyxxxyxxxyyyxxxxxzzyxzxyzzyxyyzyzzxxxxxzyxxxxzzyzyyzyzzzxyyxxzyxxxxyzyyxzyyxyxzxzyzyzzyyyzxyxzyzxzzyzzzzzzyxzxyzxzxzyxyxxxxyzxzyxzxzyxyyxxyzxzyyyxxxyzyzzzxzzxyyzyxyyzyzzxzzxxzxyzyzzyyzxyxyyzxzzxxxxxzzzxzzzzzyyyxxxyzyxyyyyyzxxxzyzxxyyxzzzyyzxzzxxxzzyxxyyxyyzxyzxxyxzxzzxyzyxzyxyzxxyzyxxzzzxxyxyyzzxyxxzzyxyzzxxyyzyyzzyyxyzxzyyyzxxyxxyxxzxyyyzyyzxzzxyzyyxzyyyxxyyxxxyzzxxxzxyxyxyyxxxyyxxzyyxyxyzzxzyxyxxxzzyzxxxyyyyxzxxyyyyyzzxyxxyzyzzyyxzzyyxyxyzzyzxzyyyxzzxyyzyxyzyzxzzzxxyxzzxzzzyzxzxzyxxyzyxzyyzxxzxxxyxyxzyzzyzxyxzxzyyyxxzzzyxyzyyxyxzxyxyxyxzxxyxxxxzxyxxxxyzxyyyxyyyzxyyyxzyzyxxyyzzxzyzxyyzyxyyyxzyxzyzxxxxyzzyzyyyxzxzzzzxxxzyyxyyzyzxzyyxyxxxzzyyyzzxxxyyxzzxzzzxzzzzzyzzzxxyxzzxxzxzxzzyyzyxxyyzzyzzxxyxyyxzzxyzzxxyxxxxyxxyyyyyzzyxxxzzxzxzyyyyyxzzyxxzzyyxzzyyxzyyyxxzxxzzzxxzzxxxzzyzzyzyzxxxxxzyzzxyyyyxxzxzzzxxzzyyyzyyzyxzyyzyzxzyyzxzyxxyzyxzzzzxxxyyyzxzzzxxxxzyzzzxyzyyyzzyyzyzyyzxxxzyyzyxxxzxzzyyyxxyxzxyzzyzyyyyzxxzxzxxxzzzyzxxzzxyzxxxyzyxzyzzxyxxxyyxxxzyzzzxxyxxyyxyyyzxyzxxyzzzyyxzxzzxzzxzyyyzyyzyyyxyxxyyxzyyzzxyxyzyyyxyxyyzzzzzzzzzzyxxyzyyxxyxzxxxzzxyzxyzyyyyzzyyxzyzyyyzzyxxxzzzyxzxyyyyyzyyzzyzyyzzzyzzzzxyxzyzxyxzyxxyyyzxyzxzyzzyyzzyzzzxxxxzzyyzxzyyxyyxyyyyyzxxyxzyxxxxzxzyxzzyxxzzxzzyxzzzxzyxzyyxzxzxzzzxyxxzxyxzzyyzyyyzzzxzyxyzzyxzzyxyxyxyyzxxxzyzzzzyzzyxxyzyyyzzxxyzxzxxzyxzyzxxzyyzyxxxzyyzxxxxzyyyxyxzzzyxyxzyxyyzxzzxyxyxyzxyyyxxzyzxyxzzxyyzxzxxzxyyzyzxxyxyzzzyzyzxzxxzyzyyxxyzyyzxyyzyyyxzzzyzzyyyyzzyzyxzyxyzyxxxxyyzyzyxyxzzzyzyzxyyzyxxxyxyyyxzyxxxxyyxxzyyxzxxxyxxyxzzzzzzzzzyyyxzyyyxxyxyxxyxxyzyxxyyxzxyyyyyyzyxxyxzyyyzxxyxyxyyyyxzyzzyyyxzyzyxxzzzyzyyyyxyxyzzyyyyzzyyxzzxzyyyxyxyyxyxxyxzxzzxxyzyyxxyzxzxxxzxyxzyzxzxzyxyyxyzzzyxzxxzzxzzxzzxzzxyxxzyyyyxxyzzyyxyzxxyxxyzxzyyyzyyxyzxzyyyxzzyyxyxzzyyzzxzxyzyxxzzxzxzzyzxzzzxyzzzxzxzxyxyxzzzxzxyyzyxyxyyxyyxzyzxzyzxyyzyxxxzyxxzxxyzzxyxxzxyxyxzxyyyzxyyyzxyyzyxzzxzxyyzyzxxxzzyyzyyzzyzyxyxxxyyzyzyxyyzxxyyzzzzxyzxzyyyyyyxzxzyxxzzxyxyyzxzxyzzxyyzzxyxzzyyxxzyzxyzyzxxxyyyzxxyyxzzyyzxxzxzyyyxyxxxyzzyxzyyzzxxxxyzzzxzzzxxzyxxxxyxxyyzyyzzxyzyxxyzxxxxzxyyyxyxyzyxzyxxyxxxxyxxzxzyyyyxyzyzxyyzzxxzyxxxzxzxyyyxxxzyyzxzyyyzxxyyyzyyyxxzzzzzzzzxxzzxxzzyzzxzyyzxzzyyzzxxzxzxzxyyyyzyyyyyxzxyyzxzyxyxyxxzyyxxyxyxzxyxxxzxyxzyzxyyzzyxyzxzzyxyyzzyzzxzyyxxyzxxxxxyxxyzxzyxyyzzyyzxxzzzzyzxzxyxyzyxzzxzyyzzxyyxyyyyyxzxxyyxyzyyyxxzzyzzyxxyzyzxyyxzyzzxzyzxyyzyyyzzxyxxyyyyzxyyxyyzxzzyzyyyxzxzzyyzxxxyyxyyzyzyxyzzxzxzzzzyyyxyxzxyzyyzzxzxyyzxxyyxxzzxxzxxxyzyyyzyyxxzxzxzzyzyzyyxzxxzxzxxxxzzzyzxxzzxzzzzxzyyyyyyyyzyxzzyzzxzyxzzyzxyxzyzyyyxzzyzyzzyzzyzxyzyxyzxyzxyyzzzyxzzyzzyxyzxxxyzyzxzyxzzyyxzxyyyyzxyzzzzzzzyyzzyzyxxxxxxzyxzyyxxzzxzyxzyyzzyzxxxxzzxxyyzxxxxyzxxxzxyzxzyxzzxyzzzzyzzyyxxxxyxxxxxxzzxzxzzyxzyyxyyyzxzxxxxxzzyxxzxxxyzzxzzxxxyzxxzyxzyxzxyyyyzyxyxzxxzxyxyyzxxxzyxxzyzyyzyzyxyzxzxzyzzyyzxyxyyxzzzxxxxzzzzxyzyxzxzxxxyxzyyxxzxyyzzxyxyxyxyzxxzyxzyzzzzyyzzxxzyyxzzyyxxyyxxyxzzyxxyxzzyxyyzzyyxyxzzyxxzzxzzxzzxxzzxzxzzzzzzxxyzzzxzxzyyxxzzyxzxyxzzzxzxzyzxyzyxxxxzxzzxzzyyzyxxxyxzxyyxzyxyyxyzxyyzyyyzyyxxyxxxzxxyxyxzzxyyyxzyxzxzyyyzyzxzzyxyxxxzxzyyzxyxzxxxzxyxxyxxxxxyzzzyxxyyxxyyzzzzzyxzzxzyyzzzzxzyzzyyxyyxyxxyxxxxzyxyzxxyxyyzyyzxzxxzxyxyxyzzyzxyzzyzxyxzzzzxzzyyyxxxxzxzxyxxyxxzzyzxzzzzyyyxzxzxzxzyyzyxzyyyyyzzyzyyyxzxxyxzzzzzzzzzzzzzzzyyyxyyyyxzyyzyyyzxxxyxxzzyzzzzzxyyyxyxyzxxxxxyzyxxxxxxzzyyxzyzzzyyxyzyzxyyxyxxyxxyxzyxyzyxxzyxyxyxxzxzyxyzxxzzyxxzyzzxzxyyzxxyyzyzzxyyxyxxyyzzzxyzyzxyxzxyxzzzzxyzyyzyzzyyxzxyyyzzyzyyzyxyyzxyxzzxzzyzzxzzyxxyyzzyyzxyxyxyzyxyxzyzzyxyzzzzzzxxxyzyxzxxyyyzzzzxyyxzzyzxyyzzxxxxyxzyzyyyyxzyzzzzyxzxzyzzzzzxzzxxxzyxyyxyzzyzxzyyzyzyzzxxxyxxzxzxxzzxyxxyzyzxzxzyyxyzyyyzzzyyxzzxxxyzxzxzzzzxxzxyzyyzzyzxzxzyxxxxxyzyxxyxzxxzxxxyxxxxxyxyxxxyyzzzyzzyyzzzzyyzzyxxzxzzxzxzyyyzyxzzxyxzyxzxxyxyxxzzyyxzzxxzzyxzxxxxxzyyxxyzyxyyyzzzzzyxzzzxzzxxxzxxyyyxxxxyyxyyyyzzzzxyyyzxxyxxxxxzxxxxzzyyzxzxxxyyzyzxxxxxyyxzxzxzyxzxxxyyxyyyyxzyzxzzzzyxyxyyxyyyyxzxyyyyyxzyyxxyzyxxyxxzyxxyzyxzzzyzyyzyzzxyyyzzxxzxxxyxyxzxxyxyzzxyzyxzyzyxyzyyzyyxxxxzxzxxzxxzzyxxyzzyzyxyyxyyyxxxxxyyzyzzyyzxzxxxzxxyxyyzxzzyxzyxxyzxxxzyyxzzxzxxzyyyyyyzxxzzzxyxxzyyxyzzyxyxyzzzxyxyyzxzyzyxyyyxxzzxzzyzzyyyxyyzxyzzzzyzxyxxzyyyyzyyyyyzxzyxxxyxyyzzxxxxzyyxyzzxxxyyxzyxxxxzyyyzxzzyyxxzzzxxxyyxzyzzxyxxxyyzyyyxxyxxzzyyyxyyyxzzxzyyxxyyyzzzxzzyzyzxyzzxzxxxxzxxyzyxxyzyxyxyzzzzxxzyzyzxyyzyyyzzyzzyyxyyzyyyzyyzyyzyyzyzyyzxxxxyyzzxyyyzzzzyyxyzxxyxzyzxyyyxxxxyzxzxzxyzxzxzzzxyzxxyyxzyxyxxxzyxzxxxxzzzzyyyzxyzyxyxyxzyyzzyyxxzxzzyzzxxzxzyzzyxxzyxyxyyxyyzxxyyxyzyzxyzyyzyxxyxyzyxxxyyzzyxzxxzxxyxxxzzxyyyyyzzxyyxzxxyxxyxyxyxzzyxzyxyyzzxxyxxzyxyyyzyxyxxxzzxxzxzxyxxxyzzxxyyyyzxzzyxxyxzzyzzyxxyzxyzxzxzyxyxyzyxyyxyzxxxzzyyzzxyzzyxzxzxzzzxzxxxxxxzyzyxyyxyxyyyzxzzzyxyxxxyzyxxxyzyxyyzzxzxzzxzyxyxyyyyyxyzzxzzzxyyzxxxzzyxxxzyzxxzyzxxzyxzzzyzxzyxyxzxxzzzyxzyzxzxxyyxzzyxyxxzyxzyyyxxyzyxzzzyzzzxxxzyzzxzyzzzxxyxyzzxyyyyyzxzxxxxxyzzzzzxyyxzxzyxyzzzzzyyzyzzzzzxzzzzxyyyxyzyxzxzzxzxzxyxxxxxzyzyzxxzzzzyzzzzyyyzxzyzxyyxzzxxyxxxyxzxyyyyyxxyxzyxyyzyyzzzyxxxzzzyzzzzzyyyxzxzyxyyzzyxzzxyxxzxzzxzxzxxyxzxxyzyzxyxxzyxyzxyzyxyxyyxxxyyyzzyzyxzxxxzzyyzxzzxxyxxxxzzxzyzyzzyxzzxzxzxyxxzyxxzyzyyzyyzyxxxxxxzxxyyxyzyxxxyxxzyzyxxyzxxxzyzxyxzzxyzyyyxyzzzzyxxxyxyxxyzxxyyyzzzzxxzzyyxzyyyxxzyyyyyyyzxzzyyzyzzxxxzzxxxzxzxzyzxxxxyxxzzxyyxxyxxzzyzyxyxzyzyxxyzzzzxyxzzzzyyzxyzyxxzzyzzxyxxzzzzzxyzzyxzxxxzxxzyzzyxzyzxyyxyyzzzxzxzyxxyzyxxxxzyyzzzyyxzxzzxzyxzyzxxzxzyzzzyzzzxyxyzxxzyxxzyyxxzzzxxyyxzzxzxyxxxyxxxxyzzyxxzzxxzyzyyyzxzxxyxyxzxzxyyzzzyzzxzyzzxzxzzzxzxxzzxyyyxzzzyxxzyyxzyzyxxxxzzzxxxxzzxzxyzzyyzzzxzzzyzyyxyyzxxzzxzyyxzyyyxzxzxzxzyyyzzzxxyxxzxyxyzyyyyzyyyxxyyyxzyzyxxxxyyxzxzyzzyzzxzzzxyzzzyzxxxyxxxxzxzzzzzyxzyzzxxxzyzxzzzxzyzxxyxxzzxzyzyzzzxzxyxxxzzzxxzyyyzzzxzzxzzyzxzyxzxyzyzzyzyyxxxyzzzzzzxxzxyxyyzxzxzzyxzyyzxxzxzzyxzyzzyyxyxxyyzzxzxyxxyxyyzyzyyzyxyyzxzyxxxzzzyyzyxxzxyxyyzyzzyzyzyxzyyzzzxxyzxxxzyzzyyyxxyxxxyxyxyxzxyyxzyyxzxzyyyyyyyxyzyyyxzyzyzyyzzxzzyyzxyzyyzzyzxxzzxyyyyxyyyyyzzzxzxxzzxxxxxzxxzyxzxxxyyxxyzyyyyyyxyzyxyzxzyxxxzyxxyyxxyyyxyyyzzzyyxxzyzxyxxyxyxzxzzzxxzxzxzzzyxyzzxyyxxyzxxzyyzyzzxzyxxzzyzxzxyyzzxzxzyyxyzyxxyyzzxxyzzzzyzzyyyxyyyzzxxzyyzzyxyzxyxxzzzyxyyzxyxyxxxxyyzzyxzzxxyxyzxyzxyxxzzyzzxzxyyyyxzyyxxyzxzyzxzxyyxzyyyxzyyzzyyzzxzxxyzxzyxyzxxxxyyyzyxxzzxyzyxxxyxyzyxyyzyxyyzyxyzxxyzzzxxzxxxzzzyzxyyyyyyzzzzzxzxyzyzxyzyyxxzzzyyyyxyxxyyyxxyzzyyyzzxzxyyxzxyyzxyxzzzzyzzzyyyzzxxzyyzzxzxzzzxyzyyzyxyxzyzyyzyxxxzyyzzzxzyzyyxyzzxxxxxzyyzzxxxxyyxzyyyzyzyxxxyxzxzyyyzzzxyyyxyzxyzxxzyzxzzyzxxxxyxyzxyxzxzxzxzyzyxyyzxyxyzyyyyyzzyxyzyxyxxyyyyxxxxyyxxxyyzzyyyyxxxzxzxyxxxyyyxxyxzyxzxzxyzxxzzyzyzxyxzxyyxxzyzyxyyzzxxxyxzxxxzyyyzzxyyxzyxzxyxxyxyzzyzzyxzyzzxyxzxzxyxzzyxyyxzxzyzxxzyxzzxzyzyzxxyyyyyzyyxxzzxxyxyzxzzzxzxyzzyxxyzyzzzzyxzzyyzzzxxxyyzyzxxxxyyzxxyxxxzyxzxyxyxzzzyyyzyyzyxyzxzzyxxxyxxzyxxyxyxyyyyxyxxyzxyyyyxyyzxxzxyxzxyxzyzxzxzzzzxxyxyyxzyyxzxxyzzzyyyyzzxyxxzzxxxyxzyyxyxzzxzzyyxyxyyyxyzzzzzyzxxzxyyyxyzzyyzzzzzxyzyzyyxzxyyzzyzxxxzxyzyyyxxxxxyxyzzzyyzyyxyzzzxyzyzxyxyyyxyxzzzxyyyyyxyyzxzzyzxzyyyzxxzxyzzyyxyxzzxxzyxzxzzzzzzxzzyxzyyzxxyxxyzzzzzzxzzxxzxxyyxyyyzzxzxxyzyzxxzzyzzyzxyzxzxzzyyxxyzyxxyxyxxzxzxxyyyxzyyzyxzzzyzxzzyxyzxzxxxxyzzxyzxyxxxyxzzxyyyzxzyxyzyxxyzyzzzxzzzzyxzyzxzyxxyxzxyyxzzxxzyxxzyzxyxyzzyxzxyxyxxxxxzyzzzyzxzzyzxxyyyxyxzyzzyyzxyzyzyxyxxzyzxxxyxxxzyzxzzxyzzyyxyzzzxxzyzxzxyxzxzxzyxxzzzzzyzzzxzzyzzyxxzyzxyxyxzyxzyyyxyzxxxxzyyzzzzxyzyyxxzyzzzyyyyzxxzzyzyyxxxzxyyxyzyyxzxzxxxzxxxxzzyzxyzxyxyzzyyyyyxzzyyzyxxyyzxyzzxyxxzyyyzxxyxzzxxyzxxyxyxzzxxyxyyyxyxzzyxzxyyzzxxyzyyzyxxxyzyzyzxxxzyzyzzyyyzyyzxyxxzxzyzxyzyxyzyyzyxzyxxzzxzxzxyxzzyzzxyyzyyzxzyxyzyzzzyzyxzyxyyzxxyzxxzzyyyzxyzzyzxxxyxxzzxzxxxyyyxxzxyzxxyxyyzxxzyxzzzyyzxzxzxyyxyyzxyzxyyxzyxyzxyxxxxyxzzyzzxxzxyzyzxzyyyxzzyxzyzxzxxxxxzzxzzyzxyxyyyzyyyxxzzyyyyyxyyxxxxxyzyxxxxzyxyzzxyzzyzzyyzzyxzxyyzxxyyxzzzzxyyxyyzyzzxzxzxzyxxxzzzzyxzyzzxxyyyxyzzxzzxzyyxzzxzyxzxzzyxzxyxzyzzxxyzyzzyyxyxyyyyxzyzxxyyxyxyzxzxyzxyzzxzzxyzyxxzyyyzxyxzxyxxxzyyxyyyyyxxyzyyyxzxxxzxxyzzzzzxxxzyyzzxxyzxzyxyzzyxyxyyzzxyxzyyyxyxyyyyzxzxyzyzyzyyyyxxzyxzxxyyzzzyxxxyyxyzyyxyxzyyxxxyzyxxyyzyyxzxxyyzyxxyzyzyxzxzzzxxxzxzzxxzxxzxzzxxzxzzyzzyyzyzyxzzxyxyxxzzyzxxyxyxyxzyzxzzxxxzzxxxyyxyzxxxzyxzyyxyyxzyxzyzzzxyxzzzzxyzzxyxyxyyxyxzzxyxxzxxyzyxzxxzyzzxxyxyyxzzzxyyzxxzxyzyzxxxzyzyyxyzxxzxzzyxzzzyzzxzxzzzyzzyzxyzzxzyxyxzyyyxzyxzxzzxzzyyxxzyzyzyyxyzxzxyxxzyzxxyyxyxyzxxyxyxxzxzzxxyxzyxzyxxyzxxzxyxzyxyzyyyyyxzxzzzzzzxzxzyxxzyzyyxzyzzzzxxzyxzyyyzyyzzzzzxzzxyyxxzxyyxzyyxyzyyxzzzyxyzyzzxyxxyzzxxxzzxxyyzxxxxyxxxzxzxxyxyyxxyxxzxyzyxxyzzzyyyzyxxzxxxxxyxyxxxyzzyzxyxyyyyzyzyyzyzxxyyxyxxxxyyyxxzxzzyxxyzzyzzxxxxyxxyxxxxzxzxyzzzzyzzxxyzzyxxzyxzyzzxzzzzzyzxyxxyxxyyyzzxzyzxyxzyxyxzzxxyzxzxzyyxzyzyzyzzzxyzzyyyzzyxxzxxzzxxzxxzzyyzzzxyyyxyxzzxyxzyxzyxyyzyxxyyxzyyxzzyyyyxzzzyxyyyzzxyxxzzzxxyzxyzzyzyxzxyzxzyzxzyxyyxyyzzyxyxzzyzxxzyzyzyxxzxzxxyyzxyzyyzyzxyxyyyxxxzyxzzzzyxyyyxzxxyzzyzzxzxzxyyxxyyyyzxzyxyxxyxxzxyxyzxzyzxzzzyyzxxzyzyyyxxxyyzzyyyxyyxzxxzzxyyxxzzyyyyzxxyxzzzxzxzxyyzzxxxxyyzyzyxzxyzzzxzxzxxyzyyyyzxyxyzxxxzyxxxxyxxxzxyyyxxyxxxzyxyxzzzzyzxyyxzyzzxyxzxxxyyyzzxzxxzyzzzyzyzxzxxxxxzzyzyzxxzyxzyxxzzzyxzyzyyzzyzyxyxzyzxxzxxzzyxyzxzzxxxyxxyzyzxyxxyxxxzzzyyyxzzxzxxyxxzzzxzyzzyyzzyxxyyxzzyzzyxzzzyxyxzyzyxxzxxyyyxzyyyyyyxyxxxyyzyxzxyzyyxyxzxzyyyxyxzxzzxzzxyxzxzxzxyyyzxyxzxxyxxzyyzzzzyxyyxyyzxxyyyxxyyyzzzzzxxxyxxzxyxxzyzxyxyzzzyyyyxxzyyxyxxxxyyxxyyzxyxzxzxyyzxyzzxzyyzzzxzzxzzyxyzzxzzyxxzyzxyyzzxxzyzxyyzyzzzzxxzxxyyzzyyxzyzzxzyxxzyyyxyxzyyyxzyzzyzxxxxzyzzxzzxyzyyzzxxyxzxyzxzzzzxxyyzxyzyxyyyzyzzyyzyxxyzyyyxxxzzzxyyyzxzzyzxxyxzzzyxzzzzzxzxxxzzzzzyyzxyyzyxxxyzyzxxzyyxzzxxzyzxyyxxxxxzyxxzyxxxzxxzxxzyyxxxxzxzzxxzyyzyyyxxxzyyyyxzzzyxxyzyzzzyzxzzyzzxxzyzxxyxyxxyxyzzxxzxzzyxyyxyxyzzzzzzxxzyyzyyxzyxzxzxyxzzxyyzxxxyyzyzyxxzxzzxzxyxxxxyzzzzyyxzzyyxxyyxyyzxyyyxzxzzxzzzyyyxyxyzyxzyyzzxzzyzyzxzxzyyzxxyzzxxxxzxxxxxxyxzyzxzyyyyyyxzzzyxzyzzzzyzyyxzxyxxzyzzxzxzyxxxyyzyzyzxyzxzyzyzyzxzxyyyyyyxzyzxzxzxyxzxxyxzzxxyzyyxzyyxyxxyyyzzxzzxzzyxxyyxxyxxzxyxxzxzxyxyyxxyzyxyzyxzxxyyyyzxyxxzzxyyxyyzzzyyxxzyzzyxzyzyzxyxxxxxzzyxxxxxxxxyxzzzyyzyyzyzxxyyxzxxxxxzxzxzxzxzyzyyyyzyyyzyyxxyxxyyzzxyxyzyyzyzxxzyzzxzzyxyxzxyxyzyxyzyzxxxzxxzyxyxzxxxyxzxxyyzxzyxxyyxyxyxyxyyzzyxxxyzyyzyxxzxzyxyxyzyxxzxzxzzzyzyyxyxyyzzzyzxzyxxyxzyyzzzyxzyzzzyyyzxxxyzyxzxzxzzzyxyxzzxxzxzxxzyzxyxyyxxzzzxzxzyyzzxzxxzzyyxyxzzzxxxxzyyyxxxxzzxyyyxxzyzyyxyyxzyxzxzxyzzxxxxyzxyyxzxyyyyyxzyzxzzzyyyyzzzyzzxzzxyzyxxyxxyyzzyzzzzyyzzyxxzyzxyyxzxzzzxxxxxyxyxyyyzxxyyzyyzzxzzzzxxzzxxzzyyyxzzzxzxxyyxzxzxyyzzzyxxxxxxyyxxyzxzyyyzyyxxxyxyzzyzzzyxyzxyyxzzxzxxyxzyxyxxzyzxyxxyxzxzzxyyxyxxyxzxzyyxzxxxzxzxxxyyyzxyzxzyzzxyyxyxzyyzyxzzzxzzxzzzyxyxyzxzyxzyzzzzxzyzyyxxyyzxyxzxzxzzxyyyxzzzzxxyxyzxyyzyyzyzxzxxyyxzzyzyyyyyxzyyyxzzyxxxyyxxyzxyzzzxyzzyxxzyxzyyyyyzzxzzzzyzyxxxzzxxyzzxyyxxxxyxyyzyyxyxxxyxxzzxzxyxyxyxzxzzyxyyxzzxxxyzzzzxzzxzxyyzxyxzyyyyzxzzzyzyzzxzzyzzxzxyxzyzxyxyzyzxyzzzyzzyxyzxxxzyzyzxyxxyzyyzyyzxyxzyzxzxxxzxzzyyyyxxyyxyzyyyyxzyyxzyyxyxyzxyxxyxzzzxxyzyxxxyzyzxzyyyyxxzzyyzzxxyzyzyzxxyxxxyyxxyxyzxyyxzyyyxxzxyzyzxyxzyzyyxyzyyxzzyyzzzzyxxzyxzxzxzyzxxyzzxxzxzyyxzyyyzzyxzxxxyzxxxyzyxxzzxzyzzyyxxyxyzxzzxyyzzyzyyzxzxyzxzxxxyxzxxyxyyyxxzyyxxyyzxxyzxyzzxzxxzxzxzyzyzxxzyyzxyyzxxyyyzyxyzzyyyyzzxxxxzyxzyzzxyzzzzyxyxyxyyxyxzzzzxzxzxzyxzyyyxyyyyxxxyxzyzzzyyzxzxzxzxxzxxyyxxxxzyxxxzxyxxxyyxyxzxzyzxzxzzxxyxyzyyxxzzzzzxyzzzzxxyzyyxyxyxyyxzzzyyxyyyxyyyzxzyzzyyyyzzzxzzxxxxzxxxyxzzzxzxxxxyyyzyyyxxzyxxxxyzxxzzxyxyzzyyyxyxzyzzzzxzxxyxzzyyzxxxyzyyzxyxzxyyxyzzyyzyyzzzxyzzzyxxyzyzyxzyxxzyyyzxxxyzzzxxzzyyyxxxxyyxyxyxyzxzxzxyxzzzxyzyzyzzxxzxxyxzzxxyyyxzyyzyyyzzyxzyyzzyxzxzyyzxxyzxxyzxzyyxxyxzyzzxxxxzxyzyyzyzzxyzxxyxyzzyxzxxzyzxzyzzzxxzyzzzzzzzxxzzxxxzyxyxzzyxzzyzzxyxzzxzzxzxyzzxxyxzzxxyxxyzyzyzxxyzzyzyyxyyyzxzyxzzyxzzyyxxxyzxyxyxzyxzzyxzzyxzyyxzzyyyyyzyzzxxyzzzxzxyzxzyyxyxzzyzzyxzzyxxyzyzxzzxzyyzxyyyzzyyzzxxzzyzxzyxxzyzzyzyzxxxyzyxyxxzzyxzyzzyzxyzyzzxzyxxzyzyxxyzzyxzzyxyyyxzxyyyxyzxyxzxzzzyzzzxxxyxxxyzxyzzyzzxxxxxzxyzyyzxyyzzxyzxxyyyxzxyyzxxzxyyzyzyxxyzyxxxzxxzzyzxyzyyzzyxyyzxyzxzyyyyzzyxzzzyyxzxzxxxzyzyxyyxxxyxxzxxxxxyxxyzxyyyzyzyyyxyxzzzyzxzxzxzxzzyyxyxyxxzxzxyxzyzxxzxzzxxyxxzyyyyzzyxxxyyxzyyxxxyxxzxyxxyxyyyzzzyyyzyyxxzxxxyxyxyyyyzxzxyxxyzzzxxxxyxzzzzzzxyzyxyxzxyzzxyyxxyzyyyyyzxzzxyxyyxyzzzxyzxzxyxyzyyxzyzxzzyxxzxxzyyxyyxxzzzzxzyxzzyzzxzxzyyzzxzxyxzyyzzxxyxzxzxxyyyzyxyxzzxzzxyzxxzzyxxxyxzyxxyxxxxxzxxxxyyyxyxyzyzxyxyyzyyyyyxzyzzyzxxyzxzxyzxyxxyzxzzxxxxzyyyyzxzxxzxxyzzxxyyzzxzyxzxzxyxxyxyzxzzxxxxyyxxyxxyxxyyyyxzzyxxxxxzxzzyxyyzzyyxxzyxzzzzxxxyxzzyzyzzxyzzxyyzyyxzyyzxyxyxzxyxxzzzyyzzyyzzyzxzxxzxzxzzxyxyzzxzyyyxyzzzxxyxxyzyyzzxxxzxyzzzxzzzzzyyyxzxxzzxyyzzzxxyzxyxzxxzxzyzzyzzzzxxyxyzxxzxyzzxxyzyyxzxxzxyzzzyxzyzzyyyzzzzzyzyxyyxxzyzxyxzxyxyyxzzzyyyxzxxyzyyxyzxxxxxzzxyxzyxxyzxxyzyxzzzzyxyzxyyzxyxxxzzxyxxzxxzzyxzzzxzzzzyxxzyxzxxyzzyyyxyzzzzyyyzxyyyyyxxyyzyyyxzxxzyxyxyzxxxxxxyzzyzxzzxzzyxyyyyzyzzxyzzxxzxyyyyxyyxzyyxxxyyxxxyzzyyyzxzxyxzyyyxyzzxxxyzzxzyxxzzxzyyxyxyyzzzyyzxzzzxxyyzzyyxxyxyxyzzyzyyzxyyxxxyxxxyzyyxxxyxzxxxxxzzxzyxyxyxzyyxyzxyxxyzzxxyyzyyxxyyxzzzyxyxxyyxxxzyzzyyxyxyyzyyyzzyxxxyzzyxzyyyyxxyxzzxyxxxyzyxzxxzyxxxyyyyzxyxyyyxzyyxxyzzyzxyyxzyyxzxxzyyyyzyyxyzyxyxyxyzyzzyzyzyyxzyxzzyyxyxxzxyzxxyzxzzzxzzxyxzyzzxxzzzyxxxzyxzzxzzyzzxyyzxxyzxzzyyzzzyzzyxyzzxzzzxzyzyzyzzxzxyzyzyzzzxyyzxxzzyxxxzyzxyzzyxxxyyxyzyxyxzzxxzxzyxzxxxxzzyxzyxyxzzzxxyzxyzzxzyzyxyzxyyzyyzxxxxzzxyxzyxzzxxyyxxyyxyyxzzxyzyzyyzyzxzzyzxzyxyzxyzzyyxxyyzyyzzyyyyyyxzxyxzzzzzxzxxyzzxxzzyzzzyyzyxxyxyxzzxzyzxxxxzxzzyyzxxzyxxzyzzyxzzzzzxxxyzxyyyzzxzxxyxyxzzzxzyyyzzyxxyzxxzzyxyyzxzyxzxxyyxzxyyxxzxzzxzyyyzxyyyxzzzxxxyyxyzyxzzyxyxxyzzxzyyxxyxxyzyxzxyxxxxxzyxzzyzzyxyyxyxyyzyyzzyxyxzyyyxxzxyxxzyxxxxzzyxyyzzxxxxxzzxyxyyxzzzxyzyzyxzzzzyyzxzxxxyxzxxxzyzyyxxxxyzyzxxzzxyyyzzyzyzyyyxzyzzxyyxyzxxzyyxyxzxxxzyzzyyxxxyzzyzxzzyxyyyyyxzyxyzyxyyxyxxxxxxxyyyxyzyzxyzxxzzyxyxyyyxxzyyyxzxzxzzzyxyzxxyyyzxzzzyzxxxyzzyyyxzyzzxyzxyzyzzxyxzxxxyxxzxyyzzyxyxzzxyxyyxzyxxxzyzyxyxxxyzzyxyyzzzxzyyxyzxxyxxzxyzxxyzzxyyxxyzxzxzzyxyxxzzyyxyzxxzzxyyzyzyzxxzyzyyzzyyyzxxzzyzzzzzzzyxzzxzyzzzyyyzzxzzxzyxzyxyxzzzzyzzzzyyxxyyxxxxxzyxxzzyzxxzzxxyxzzyyxzxyxzyzzyzxzyzxyzyxyzzzxyyyzxyzzyxyzyyyzzzyxyxzxxxzxzzzxyxzxyyxyyzyyzxzxyxyyzzyyxyyzzxzzxyyyyyyyzzzxyxyzxxyyzzzyyyyyyyxyyyxzxzxxzyxyyzzzzxyyzzxxyyxyxyzzxzyyzzzxxzyzzzyzyzzyyyzzxyzzxyzxyzzzxxzzyxyzzxxxxxxzyxyxzzyzzyyxxxzzxzxyxyxxxxxxyyxzxzyzzyzxzxzxxyzyyzxzzxzzyyxzxzxyzxzyzzxyyzxzyxxzyyyyyyyyyyyzyzyzxzxyzxyyzxxxyxzxyzyyzzyzzyxyyyxyyzyxxzxyxyzyxzyyzyxyxxyyxzzxxyyxxxyyzxzyxzzzyyzyyyyzyxzzzxyzyxyyyxyzyzxzyxxxxzxzzyyyzxxyyyxzxyxxzxyzzyyzyyxxyxxzzxzxzzzzzzxyyyzyyxxyzyyzyzyyyyzxzyxzxzyxxzxxyxzzxzxzzyzyzzyyxyxzyyzzzyxyxyyyyzzxxyyyxzyyxyyxyxyyzxzyyzxyxyzxyyzxzyyyxxzzyzxzzxyyzyxxzzzxxxyzzzxzyyzyxxzyxzzzxzxyyxzzzzxxzyxzzyyyyzyzxyyxyxyzxxyzzyxzyzxyyyyxzyxzxxyyxxxxyzyzzxxyxxyxyxxxzzxxyxzzxzxyyxyzyzzxyxxxyxyyyyxzzyxyyyyyxzxxxzzyyxzzzxxzyxxzzyzyxzyxyxyzzzxxyyzyzyxzzyzzzzyyxzzzxyzyxxyyxyyxxyyzyxyxxzzzzxzyzyxyzzzzzzxxxxzxxyyzyxyyxyyyyxxxxxyyxyxyzzzxyxyzzzzyxxyzxzxxxxzyzyzxyxzxyzzyxxyxxxxzzxxyxyzyxzxyzyxxyzxzzzxzyyxzxxyyxxxzyxxyxyyxyxzyzzyzxyxyyzxzxyzzxzyzxzzzzzxzxxzyyxyxxzyxzyzyxyzzyyxxxzyyyzyzxzxzzxzzxzyyzyzxzzxxxzyxzyyxxzxyzxxzyzyyzzyyzyyxyzzxxzyzzzyzyzxyyzzzyxzzyyxxxzyzzxzxzxxxzxyxxzyxzxzyxzzyzyzzxyzyyxxyzxxxzxyxzxzxxxyyzxxzzxyyyxxzzzxzxyxzxxzxzzxzzyyyzzxyyxzxyyzxxzyzyxzzxyxyyyxyzzyzyyyxzzzyyyxzxzxzyxzyxzyxxzzzyyyzyyyxyzzxyyyxzxzzzyyxxyzyxyyxxxzzzyzyxzzxzyyxxxxyzxxyzyyxxyyzzzyxyzxzzyyxxzzyxxyzyzzyxyzxyzzxzxxyyzxyyyzxyzzzxyyyxxzzxyyzyxyyxyxyzyxxyxxxzzxyyyyzxzxxxxyzyyxxxyxyzxxyyyzzyxxzxzyzxxyxzxyzyzyyzxxxzxxzyyyxyyxzxxzzzyyyxzxxzyzzyzxyzxxxxzxxzxzyyxzzzzyxyzzzxyzyxxxzzxxyyzyyxzyzxzyzzzyxxxxxyxzxzzxzxxzyyxxxyzxyxzxyzzyzzzxzyzxzyyzyxyyyzzxyyxyyxyyyxzzzyyyzxzxzyzxxxyyxyyzxyyxyzyxxyzzxxzyyyzyzzyyyyzzyzyzzyxyzyxzyzxxyyzxyyxxyzxyzyxxyzzxxzyxyzzyyzzzxxzzyxzyxzxxzyyzzyzzxzxxzyzyxyzxzxyxxyxyzzxxzxzzzxyxzzyxyxxyxzzyxxyzyxzyzxxyyxxzzxxyyxzyyzzyzyzyzzyzyyxyzxyyzxzzyzzzxyxzyyxxxzyyyyzyyxyxzxzzyxzzzxzxxyyyzyxzzzzzyzzxyxyyxzxzzyzyyzzxzxzyzyyxzxxyyzzyyyxyzxzxzxxxxyyyxxzyzzzxzxxzyyzxxzxxyzxxxxyzyyyyzxyxzyzxyxyzxyyzxzzxzxzyxyxzxzxxyyzzxxyxzyxyyxzyyzyzxyxzzyyxzyyxzxyzxzzyyxyyxxyyyxxxzzyzzyxyyyyzzyxzxzyyzyyxyyyzzyyzxxyzxyzyyyxzyxzyzzxyxyxxyyzxyxzzyzyxyyxxzxxxzyzyzzzyzzyzxxxzzyyyyzzyxzyyzxyxyxyxxyxyzyyxyxzzzyxxxxyyxxyzzyzzyxxzyzzxzxyzyxzyyzyzzxzxzxyzyyxxxxxxxxyyyzyyxxxxxzxzzyxyyxyxxyzyxzzxyzyyzyzxxyxzzyxxxzyyxzyzxzzxzyxxzzyxxzzxzzyyzzyxxyzxyxxyzzyzxyzxzyxyyxzxzyzzxyyyxzxzzxzzyyyyxzxxyxxyyyzxzyxxxxyzzzzzxzzzyzyxxzxyxxzyxyyzxyxyyyzzyxyzyzxyyxxzyzyxxxxzxyzxyyyxxyyyyyxyzzxzyzzyyzyyyxzyyyzzzxxyzyzxyzxyxzxxyyyyzxyxyyyxzyxyxxxxyxyxyxzyyyzxyyxxzxxyyyzxyzxxxxxyzyzyyxzzxyyyyzyxzyzxxzzzyzxxyzxyyzzzzzzyyxyzyyyxzxzxyxxzxxzyyxyxzzyxzyzxzyyyyzxxyyyzyyyzzxzxyyyxxxzxyyzxxyyyxyzzxyxyxzzzzxzzzzzzzyzyzxyyzzxxyzzyxyzzyyzzyzzyzzyxyxyyzxyxxyyxzzxyyxzxyyxzxyxzyzyzzyxzxyxxxyzzzxzzzyzxyyxxyxyyxxxxzxzzzxyxxzxxxyyzxxyyyyzxzzzyxxzxyxxzzyzzxzzxxxyyzyxzxyzxxxzyzxxxzzyyxzzyyxzxxzyyzxxxzzzxzxyyyxzyzyxxyyxyxzxzxzyxzyxxxyyxyyyxzyyzxxxxzxzzxzxxyzxzxzyxyxzxzyyyzzxyyxzxyyyyzyzyyyxxzzzxyxzyxyzxyxzyxzzzxyxzxyyzxxzyzyxxzyyyzzzyzyxzyyyzyzxxyzzzxzxyzzyyzzxyxxxyyyyyxzxzzyyzxxxyzxyzyxyyyxzxxxzzyxyxxzxzyxzyyxzzzxzzyxzyxyyxzxxzxxyyzxyyxzxxzxxyxzyyzxxzyzxyyzyzxxxzyxyyxzzxyxyzxyxxzxyyyzxxzxzzxyyxyzyzxzxyzzxyzyyxyzxyyyyxyzxxzyyyzyyyzyxxzyzxyyxzzzxyxzyxyxzyxxyyxyyzzzxxxyzzyxxxzzyzyyyxzxxyzyyxyzzyzyzzzzyzzxzyyxzzxxxzxyxzzyzxzzzxyyzyxyyxyxxxzxxzyxxxzxxzyyyyyzyzyzzxzyzxzyxyzyxzzxxyzzzzzzyyzyzxzyyzxzzzxxyzzxxyzyzyyxzyxxzzzyyyxzxzzzyyzzzyzyyxzzyxyzyxzzyyxyxxzzzyzzzzxxyyxyxxyyyzyxxzzyxzxzxyyzxzxzzyxyzyxyyzzyyxyxzxxzyyyxzyxzyzyxxxxzxzxyxzzyyxzzxxzyxyxyxzxyxxyyxyzzxxzxxyzxyzyyyzyyxyzxzzxxzyyzxzxzxyzxyxyxyyzxxzxxzzzyyyyxxxxxyzyxyzyyyzxyxxxxyxxzxzxzxzxyzzxyxyyyyxzxzxzxzxyzyxyyzzyxxzzxzyzzxxyxxyyyxzzzzyyzzyzxxzzyzzyyxzzyyzyzxzyzxzxxxzzzxxyyzxxyzzyxzxzxzyxyxxzzyxzxxxxxyzxzxzzxyxxyxzxxzzyxzxyyzxxzzxyzyxyxyyzxyzxzyzxzyzzxzyyzxyyyxxzzyxyxyyyxzyzxzzzyxyzxzxxxxzyzxxyxxzzzxzxyzzxzxxyxyxxyxzyzxzxzyzxzzzzzzxxyzyyzyyxxxyzyzzyxyyyxxzxzxzzxyzyyzxzyzxyxyzzxxzzyxzzzzxyzxzyxxzyyzyxyyyzyzxyxyyxyyxyzzyyxxxzyzxzyzxyyxzxzxzxyzxzxzzzyyyzzzzxyyzzyzzxzyyxyxzyxyyyxzyxzzxzyxxxzyxyyxxyzyxyyyzxyyxyzyyzyxzyzxzxzzzzzyzxzyyzzyyxxyxxyyxyyyzxzyxzxyzxyxxxzyxyzyyzzxxyyzyxxxzzyxyzzyzzzyzxzzxxzzzxyyyxxyxyyyyxzzxxyyxzyxyzyxxyyxzzxyzxyxxxxzyzxyxzxyyxzyyxyzzzxxxxxzxyyzxxyxzzxzxzyzzyxxzyyxzxxxxzyzxzxyzzxxxxxxzzzzxzxyxxyxyxxzyxxxzxyzzzyyzxyxzxxzzyzyxxyxxyzxxxzyxyzyxzzzzzxxxxyyzyyzzxxxzxxyxxxzyzxzyzzxyyzxyzzzxzyxzzyxxxzzxzzyxzyzyyxyxzxxzyzxxyyyzxyxzzxxxzxyxyxzzxyyyxxyzzxyzzzyxyxxzzyxxxzzyzxxzxxyxyxyxzzyxzyyyzxxxyzyxxzxzyzyzzyxyzxyxyxzxyyyxxzxxxxzyyzzxyzyzyyzxyyyyyzzzxzyyyxzxyzzyzyyxzxyxyxxyzzyzzyzyyxyyxyzxzxxyzxzzzxyzyyxyzyxyzyxyyyzzxxzxxyxyzyzxyzyxzxxxzxyzyxyzzzyzxzxzyxxxzzxzxxzxyzzyyyxyxxyxzxxzzxzxzzxyzzyyyxzxyzyyxyzyzzxzzzyxzzxxyzxyyyxxxxxyyxxyyzyyyzzxyyxyzzxyzxxxxzxzzzyxzxyzyyzxxxzzyxzyxxxxxxzyxyzyyyxzyzxzxzxxxzyyzzzzxxyyyxxxyzzxzyzyxyzxzzxxzyyxyxzzzzxzxxzyzxzxyzzzyzzxxzxxxyyxxyzzyxxyyyzxxyxyzxxyzzyzxyxyzzzyxzyyxzzxyyyyxyzxyxxzyxyyyzxzyyzxzzxyyzxyzyyxzxyxzxzxzzzxyxzxxzzyxxxyzxzzzzxyyzxzxxyxxxxxzyzzzyxxyxxyzxyyzxzxyxyxzyyzxyxyxxyzxyyxxyzxyzxzyxxyxzxyzzzzxxxyxxxyyzzyyzxzxzzyzzxzxzyxyxyyzyzzxzyyxyxyyzyxzzyyxxyxxxyyyyyxzzzzyxyzxzzxyzzyyxxyyxyyxzyzyzxzyxyyxyzxzyzxyxxzyxxzxzzyzzxxzzyyzxxxzzzzxyzzzxyxyyzzyzyyxxxxzxxzxxyyxyzyzxyyxxzxyxzxxzxxzzzzzzzxyyzzzxxzxxzxzyzzxzzxzyxxzxyyxyyxxyxyyyzxzyyxyyxzxxzyxzzyzzyxyzyxxzzxxxzzyyzxxzyzzzxyzzzzyzzxzyzyyxyxxzxyzzxyxxyzzxzzxzzzzzzyxxzzyyzzxzxyxzyyxyzyxxxyzzxzyyxyzyzyzyyzxzzyxyzyyxzzxyzyyzyxzxzzyyzxzxzzxyxxyxxxxyyzzxxxzzzxzxxyyxyxyzxxxxxxyzxyyzxyzxyzzzxyzyyyyyxzxxzyzyyyxxzzzyyxzzyzxzxxxyzyxxzyyyyyyxzxyxxyxyxxxxxzyzyyxxzyxzzzyxyyxxzxyyzzzzxxyzxzzyzyzzzzxzzzzzyyyxxxyyzyyxxyxyxyxxyzyxxyzxxxyyxzxzyxxzxxzzyyzxzyxyzxyzyxyxxzxxzxzyyyzyzyyxyzzzzyxzzyxxzyyyzyyyzyxzyzyzxxxyzzyzyyzxxzyxzyxzyzzyzxyzyxyyxzxzzyzzyyyzzzxxzxxxxyyyyzyyxyzzyyyzzzzzxxzyxxzyyyzzzzzxyyxxyzxyzyyxxzxxyyyyxzxyyzxyyzyyyyxxxxyyyyxzzxxxzxyxyzyyyxzxxzxyzxzzxyzzxyzxzyxzxzyzyzxxyyyxxxzzxxzxzyxzyzyxxxxxyzxxzzyzyyzxzyxzyxxyzyyyzzyzxzzxzyzxyyzxyxzyxxxyxxyxxyyzyzyxxzyxzyyzyxxzyyxxzzxxyyyyyzxyzzxyyxzzyyzxyzxzzyxzxzxzxzzzzyyyyyyzzyxzzyxxyyxyyyxzyyyyyxzyyyyxzyzyyzzyxxxxxxxzzyyyyxzzzxyyxzzxxzzyzyyzxzyzyxxxzyyxyzxzyyzxyzyyzxzyxzyzxyyzxzyzxzyxzxzzyxxxzxzxyxyyzyyxxxyzxxyzzyxzyxyzyyxzzxyzyxyxxzyxxyxxyzzyzzyxzyyyyyzyzxzxxxxxyzyxzzyyyyxzxzxxzyyzyyyyzzxyyyxxxyyzyzxzzxxxzyxzyzxzzxxxzxyyxzzzyzxzyzyxyzzxyzxzxyxyzyyzyxzzzxyyyyyyyyxxxxyzxzzyxyzxzyyzzyyxyxzzzzzxyxyzzzzyzzxyyzzyzzyzxyzxzxxyyzzzxyxxyyzyzzxxzzzyyxyxzzyxzxyyxyyzxzxzxzzzxxxzxzzxyzyyyyzxyxxyyxxxxyxxxxzyyxzxxyyyyyzxxzzxyxyxyzzyzzzzxxyzxyzyxzxyxzxyzxzyxzxxyyxxyyzyxzxxxxyyzyyxzxyxxzyyyxzzzxzyzzzxzxyyxzzzxzyyyyzxzyyyyxyyzzxxzzxxzxyzyzzyxzyxyxzzxzxyxxyzzxyzxyxxyzxzxyxxxxyzzxxxyyxyzxxxyyyzxyyzzyzxzyyxxyzzzzzyxzzxzzzxyzyzzzxzyyzxyxyyzzyzzxyxzyxxxxyxxxxyyyzxzzxzzxzyxxyyxzyxzzzzzxxzyzzyzyxxyzxyxzyxyxxxzyzzxzyyxxyyzyzzxzzxzyxxxxzzyzxxyzyzxyzzzzxyxxyzxyxyzzyxzyyxxyxyxyzzzzzyyzzxyyxxzxyzzzxxzyzxxyxyxxzyzyyzxyzyxyzyxyzxzyyzzyyzzxyyxyxyzyyyxxzyzxyxzzzyzyyyxzyyxxyyzxyzzxyzxxyzyxzzyzzyxxyxxxzxzyxxxzxxxzyyxzzxyzxyxzzyyzxxyzxxyyyyyzzzyzzyzxyxyzyzxyyyxzyyyxzzyxxzyxxxzxzxxxzzzxxzxzyyxzyzzxyxxzzxzzxzzyyxzxxxxxxzyxzyzxxyxyyyxxyxxzzxyzxzzzzxxyxyxzzyzxzyxzzzxyyzzxxyxzzyxxxyxxzxyyxxxzyzxyyxzyyzxxzzxyxyxxyyzzyxyyxxyxxzzyyxyyxyyxyzzxzyxzzzyzzxxzyzyyyxyzzxyzxyzxyxxzxzxxyyyxzyyzyxzzxyzxxyzxxxyzzzyyzxxzzyyzyzzzyyzzyzxzxxyyyyzzyyxxyyzyyzzzyyxxxzzzyzxyzyyxzyyzyxzyyzxzzxyxyyzxzzzxzzxxzzxxzyyxzxzyzyzzyxzyyyzxyzzyxzzxxyxxxzzyyyzxzzyzxzxxzzzyyyxxxyxzxzzyxyyzzxxzzzxxzyzzyzxzzxzyxyzxzxzxyzyzyyyyzxxzyxzxxxzyxxzyzzxyxzyzyzzyzyyxyxzyyzyzxxyzyxxxxzxxzxzxyxzyyzzzzzyxzyzzzxxxyyzyxzzzzyzxzxzzyzyyyxxyyyzxyxyzyxyyxxzzzxyzyxyxyyyxxzyxxzxyzxzxzyyxxyyxxzzyyzzxzxyzxyxxxyzxzxzxzxxzyyyzxxxyyxzxxyxxxzxxyyzxxzyxxzyxxxzxzzzxzyzzzzzxxzxzyzzxxzzyxyyzyzzyyxyzyxzxxyxyzxxzxyxxyxzxzzxyyyyxzyzzzxxzzxzxzyyzzyyyzxxzzyzxxyyyyxzzyyzzzyyxyxzyzxxyxyzzyxyyxzzyyxzxyyzzyxxyzzyyyyxyyxxzzxzxzzyxyzxxzyzyxyzzzzzzxzzzzzzyyzxyyyxxyyyzzyyxyyzyyxxxzyzxzxxyxyxyzzxyzzxyzzyzzxxzzxyyxzxyyxxzxyyzxxzyyyxxxzzyyxxyxzzxyyzzzzzzxyyxxyxxyxyzzzxxzyyxyyxyxyzzzxyxyyyzxzyxzzxzzzxzzyyyzzxxzyzyzxxxyyxxzyxxzzzzzyxxxxzxzxzzxzzyyxxyxzzyzzyzyyzzxxzzzzzxyyxxyyyxyzxyzxxzyyxyxxzxxzzzzyxxxzyzyzzxyxyzyzyzxzyxyzzxyxyzzyzxzxzzxxyzyzxzxyyyxyyyyyxyyyxyxyyzxxyyxxyzyyxyxxzyxyxzyyzyxxxxzxzyyxzyzxzzxyzyyxzzzyyyzyxxxyxyzzxzyzyzxxyyzyzyzzxzzxzyzzyxzyxyxyzzyzyyzyyzyxyyxzyxzzyzyzyxxxzyyxyzxyyxxxyyzzxzyyzxzxyxyyyyyyzyzxyyzzyyzzyxzxxyzyxyxzyzxxzzzxyzyyzyyyxxxxxxxzxxzzxyyxxzyzyzzzyxzxyyxzxzyyzzxyzyxxzyxxzxzyyxzzxyxzxxzyxyyyyyzyxxzyyzzzxzzyyzyxyxyyxyzzzxxxxxyzzyxxyzyyyyzxxyxyzzyyxxyxyzxxzxxxzyxyyyzzyzxxyxyzxzzzyzyxzyzxxxzzyyyzzxzyxxzyxzxzyzxzxzyzxzxzxxxzxyzyzzxxxyxyyyxyyyyxzxyxzzxxzxxyyxzyyyzzzyxyzzzxzyyzyzxxxzxxxxxyyyxxxxxzyxxzzzyxxyxzyyxyyzyxxyxyzyzxxxzzxzzyxxzxxzzxxxxyyzyxyzxxzzxyxzxzxyxyxzyzyyyyxzxxzxyzyyxxyyyzxzyyxyxzyyzxyzxxxyzzyxxyzxxyyyyzzzyyyyzxzxyxyyzzyyxxxyzxxyyyzxyyxzzyxzzzxxxzyxyxyyyzxzyzyzyzyyxzxxyzyyzxyzyzzxyyyyzxxzxxyyyzzyyyxyyzzxzxxxyyzxyzxyzxzxzxzzyyxyxyzyzzyzzzxzzyxzxxyxzxxyxyxyyyzxxyzxyyxyxzzyyyyzyyyxyxzyyyzxzyxzxxxzxyxzzyzzzzxxxyzzyxxxxzxxyzxyxyyxzzxzyzxyyyxxzxxxxyxzxyxzxzxxyyzxxyxzyzyxxyyxzzxzxyxxxyxzxyyzyyzxxyzzxyzzzxxzzzxxzxyxxxyyzzxyzyxxxxyzyxxyxxzzzzyxzyyxxzzzzzxzzyyxzxxzzyxyzzzyyyyxzyzyyxxzyzxyxyzzyxyxyxxyyzyyzzxxyxxyyxxyyzzzxyzxyxxyyxzyzzxyxxxxyxxzxyxxxzyyzyxxyyxyzyxxzzxyyzxzxzxxzzxzzxyyxzzyxxyzyyxxyzzyzxzyzzyzyyyzzyyyyyyzyzzyzxyxzxzzyxxzyzzzzxyyxzzxyxyxzxzzxxzxxzzyyxzxxxyzyxxzxyxzzyyzxxzyyzxxyzxzyxyzxyxzzzzxxzyxxyyzzxxzzyyzyzxxzzyxzyzxxyxxxxxxxxxxxyzyzzyyyxzyzyyxzyyyzzyyyyxyzyxzxxxyxyxzxxzyyzxzxxzxzyzzxyxyyzxzyyzxyyzzyxxzxyyyxzzzyxxzyxxyxxyxxzyyzxxxyyzyzxzyxyzxzzxzyxxyyyyyxyxzyzyyyyxxzyzzxyzxzzyyzxxzxzxyzzxyzxyzxzzxxxxzyxyxzzzyxzxyyxxzzzxxxyyzzzyyzyxzxzxzxzyxzyzzzyzzzyzzyzxxyyxyyzxzyzxxzyzyzxyxyxxyxzzzzxxxxxyyzyyzzxyxyxxyzzzxyyyyxxzyzyxyyzyzzyyyyyzyzyxyyzzxyzyzzxzxzzyyzzzyxxxzyxxyxzxxxyxyzzxyxxzyzyxyzzzyxxyzyyyzzyxyxzzzyxzxxyzzxzyxyzyyxxxyxzxxxyxyzxxzzzyzyyzzyxzzyxxyxyyyxxzyxyzyyyyzzzxzxxyxxyyxzxzzxzyxyxzxxxzyzzzyzyyzxyyyzyxxxzyyzxyxyzxyzxzyyyyyzxzxzzxxyxzzxyzxyxyxxxyxxzxyyyzyyzxzzxzyzxyyxzyxyxyxxxyxyzxyxzxyzxxyzxxzzyzxzyzxzyxxzyyzyzxxxzxzxxyzzzzxxzyzyyyzxzzxxzxyzyyxyzxzzyzxyxyzzxzyzzxyyzzyyxzxyzzzzyyyzzxxxxzyzyxyzyyxzxyyxyxxxxyxyzzxxzyzxxxzyyxzzxxyzzyyzyzzzxxyzyxxyxxxyxxxyyxxxzxyxzxzyyzxzxxzyzzzyzzxxzzxyzzyxyyxzyxyxzxxzxyyyzzxyxxzyxyxzxzyxyxzyzyzzyyzyyxyyxzzyxyyxyzzxxzyyyxxyzyzyzzyyyxxxxyzxzyxxzzxzzxzzxyyyyyyyzzyyyzxzzyxyxzyyxxyzxzzxzyyyyxxyzyzxyyyxyzzyxxzyzxxzyzyyxyxzxzxxxxzxyxxyyyxyzxxyzzzzzxzyxzyzyzzyyyyzyyxzyyyzxxxxzzzzzzxxzyzyxxxxxyyyxzxzzxyzxyzxzxzzxyxyxyyyyyzzzxyxyzxxyyzyyzzyxzyxzzxyzzyzzyzyxzyzyyyzxyyyzyxxzyyyyyzzxyxxzzxxzxyxzyzzyzyyzzzxzyzxxzyxyzzzzzyzxyzyyzzyyyzzxyzxyzyzxxyxyzxzyzzxyzxyyyzzzyxxzxzxzyyxyzyxxzyyxyyyxxzxyyyzxxzxzxzxxzxzxzzyzyxzyxzyzyzyyyyxzxyyzzzyyyyyzxyyxyzyzzxxxzyzzxyxzzzzxxzzxxzzzyyxyyyyxxyxzxxzzzyxzyzzxyxzxyyxyxzxzyyyxzxzzxyxyxzyzzzzxzxxxxzxyyxzzzzxxyyyyxyxzxzyyxxzxzyzyxxyxzxyxzyyxyyxyyzxxxzyxyzxxzzzxzxzxzxxyyyxzyxxxzyzzyxzyzxxyxxzyyxyyyzxyyxxxyzzzxxyxxxzyzyyzxzxxzyxzyxxyyzxzzyyyyxyxxxzxxyxxzzyzxyzzxzyyxyzyxxzxzzzxyzxyxzxxyxxyxyyzzxzzxyzyyxxzxxxyyzxxxzyxyzxyzxyyxyzyyyzyxyxyyxxyzxzyxzyzyzyzzzzzzzxyyxxzyxyyzxxzyzxyzxzyzxzxxxyxzyxxzyxxyyyxxzzyxxxyxyyzxxyzzzxyyzzxzyzzyyxzxzzyyzzyyyyxyzyxzyzzzyxzzxyyzxyyzzxxyzxxyzzyxxxzzzxzzyxzzxxyyxyyzzzyyyyyyxyzxyxzyzxxzxyyzzzyyzyzzxyxyzzxxyyxzzzzyxxxxxzyxxxyzxzxxxzxyxyxxyzxzyzxyyyxyyxzzxzxzyxxzzzzxzyyzxzzxxzyxyzzyzzxyxxyxxzxyzyxzxyzyzzxzzyzzzyxzyzyyzzyxzyzzzzyyzzyzzxyzyzzyyyxxzzxzxyxxzyxzxxzzxzzxzyzzzzxzyxxzzxzxyxxyyzzyyzyzyxxxxzyzzxxyxxzyxxzzzyzzyxyyxxyyyzyxzzyyxyxzxyzxyyzyxzzyxyzyyxxxxyzzyyxxxxxzxxxzyxyzxyyzyyyzzzyxzxzyzxzzyxxxxxxyxyzyzxzxxxyxyyyzzzzyzyxzxzzzzyxzyyzxzxzyyzxxyxxyyyxxzzxyxxzyyzzyyyyyxyzyzyxzyzxyzyzzzxyzyyyxxxzxzyzzzzxyzxxxxzyxxxxxzzyyxyzxzzyyzyyzxyzxzyzxxyzzzyzzzxzyxzxzxzzyzxzzyyxzxxyzyzyxyzzxyxzxxyxyzxzyxzyzxzxyzyxxyxxxxzxzxzzxzzxxyzyxzzzxzzxyxzzzyxxyzzyzzzzyyzzxxyzzyyyyyzzzxzzxzyyxzyyyxyzzxzzyyzxzxzyzzyxyyyxxzzxxxxzyzxyzxzzxyxzzyxzxzxzxxzyzyxyzxzxyyyxxyxxyxxxxzyyyyyzyzxzyyzzxyzzzyxyxxyzxzzzyxzzzzzyxxzxyxxxzzxzyyzyyzxxzxxyyxxxzyxzyzyxxyzzzyxzxxzyzzxxyzzzyyyxzzyxyyzyxxyyxzzyyzxzxzyzzxzzyzxxyyzyzxzyxyxzxzzyxxyxyzyyxzxyzzyzzxxzyxxzxyxzzzzxzzzxxzzxxzzxyyxzzzyyxxxxxzyyzxyxyxxyzxzzzyyxxxzyzzzxzxzzyxzyyxxxyxyzzxxyxzxxzyxyyyxyyzxxyxyxzyzzyxxzzxzxyzxxzyzxzyxyyyzxzxxzxxzxzyyyzyzxyyxxzxxxzxxyyzxzyyzyxyzzyzyyxzyxxzzyyxxxyzyyyyzyxzxyzyzxxxyxyxyzzyyxyxyzyxxyxzzzxzxzzzzyxzyxxyzxyyxyxzyxzyyxxzxzyxzyyxzxxyyxzyxyyyyzyxxyxzzzzzyzyxzxxzyzxxyyyzyzxyxxxyxyzyzzyxxyzxxyzyxyzzzxxzyzzxzyyxyzyyzxzzzzzyxzyxyyzxxzyzxxyxxyzyyxzzyyyxzxzxxyyyyxxzyzzyxzzzxzzyxxyyyyyxyxzyxyxyxyzxzzxzxzzxzzyxzyyxzxzyyyxxzxzzyyyxyyxxyzyxyyyzxxzzyzxzxxzyxxzyxyxzxxyyyxzzzxxyxxxzxyzzyyyxxyzyyyyzyxyyzyyxzxzzxzzyzyyyxyxxyxzyzyyzzzxyzyzxxxzyxzzxzxzzxxzzxyzyyxzxxxxzxxyzzyyxxxzxzxxyyyxzyzxxzyxzzxyzzxyxyzzzyzzzyzyyxxzzzzxxzxyyzyzxzzxyyxyxxyzxzyyzzzzxyyxzxxxxzyyzzyyxxzyxyyxyzzyxxzyxzyyyzxzxxxzzxyxzxyyyzxzyzzxzxyyzzzxxxzxxzzyyzyxyyxyxyzyxyyxzyzzyzxyxyyzxyxzxxzxzyyzzxyzxyxyxyyyzyzxyzzyzzzxxyyyzyyxyxyzxxzxyxxzyzzzxzzyzyzxxxzyzzzzxyyzxxyxzzzzzxxyyyxzxxyxxxyxyzxyxyyzyzxyzyzzxzyxxxyzyxzzxzxxzxzzzyzzxzzyzzyzyyzzyzyxxzyzzxzzzzzxyyyyxxzxzyyyzzxyzzxyxxzzzzyzxyyzyxzzyzyyyzxzzzxzxyyyzxzzzxxyyxzyxyzzyyyyyxzzyyyxzxzxzyxzyzyxzxzxyyxzzzxzyzyxxzxxzxyyyyxxyzxzxxyxzyyyyzyzyzxyxxyyxzxxyxyyyxxxzzzzxzyyxxzzyyxzyyzyyyxyyzzyyxxxyzzzzzyxxyzxyxzzzxzzzxyzzyxxzzzyxyxxzxyzyxxyyxyxyxyyyxzzyzxzxyyxyzzyyzxxzzzzxyzzxyzzyxzzzyzzyyzyyyzyxzyxxzzzxzzyzxyyxyzyxzyyxxyyxxxyyyyyyzzyxxyzyxzxyxyxyzyzzzxyzyzxxzyzzyyyyzyzxzxyxzxzyxxyzzzyzyyyzxyzxxzxzxxxxzxyxxxzyyxyzzyzyzyxzxxzzxxxzzzyyyzzzyyxyxyyyxxyyxxzzzzyyzxyxyxzxzyzzxyzzyyyxzyyxxxxxyyyxzxyxxxyzzxyxzzzzyzyzyxzxzzxyyzyzzyxxyyyxzxzzzyzzxyzyyzzxxxzzyyxzxyzyyyzzyxxyzxyzyyyzxzxxyzxxyxyzzxxxyzxyzxxxzxzyyzxyxzyzyxxyzyyzxxyxyyzyxzyzzxzzxzzzyxxyzyxyyxzxxyyxxzyxyyyxzxxzxxxxyyxxxxyxzzzxxxxzzyyyzyzxxyzzzzyxyxzxxxzzxzzxxzxxyxyyxxxyzyzzzxxzzxzxxyyzxzxzyzzxyyyyxzzzzxzzxyyyxzzxzyyyxyyzxzzyyxyxyzyxzzyyyyyxyzxzyxxyzyyxxyxzyxyzyzxyxyyzyxxzzzyyyyxxyxzzyxyxxxzzyyxxyxxxxzxxyzyzzyyzxzzzxyyyyzyxyyyxzxzyxxzxzxxyzzyyxyzzzxzyzxxyxyxxzyzyyzyzxzzyxyzxxzzxxxyyxxyzyxyxzxzyzxxzxxzyyxyyyzzyyzyxxyzyxyyxxyyzzyxyyzxyxyzxyyxyyxyyyyzzxyxzyxzzxxyzxxzxyzyyyyyyzyyxxxzxyyxzxyxxzzyxzyyzyxxyxzyyzyxzyxxyzzyzxxyyzxxzxxxxzzxxxyyxyyxzyzxzxyxzyyyyyyxxxyxxzxzxzzxzyyyyyyxyzzxzxxzyyyxxzzyzyxyxxxxzzzzyyzyyyzzzxyxyxxzxxyyxxxzyxyyyyzxxxxyzxzxyyxxxxxzxyyyyyyxxxzzxxxzxzxxzxxyzyxzzzzyyzxxxxxxyyyyyxxzxxzyzyyzyxyzzxyzyxyzzyzzzyyyxzyzzyyyxxyxxyzxyxzyzxyxyzzxxxzxxyyzzxyzyxyxxyzxyyzxxxzxzyzzzxzzzyyxxxyxxzxxxxzxyzxyzyzxzxzyyyzxxzzyxxzxyyxyzzxxzxyyyxxxyxzyyzxyyzzyxzxyxzxyyyzxxyxyxyyzyxzyyyyyyzyyxyyyzyyzyzxzyyzzzxzyxyyxyxxxyzyxzzyyzxyzxzyxzxzyyxyxyxzxyzyyyxyyzyzzzyyxzyzzzxyzxyyyzyxxyzzxyzzzzzyxxyzxxxyyxyyzzxzxyzzyxzxxxzzxyzzyzyxyxxxzxzxyzzxxxyyxxyxzzxyzyyzzyyyzyzzyzxyxyyzyxzzzxyyyxxzxzzyyxzzzyxxzxyyxzxzyxzxzzyzzzzzxxzxxzzzxyxxzzzyzxzxxyzxxzyxyxxxyxzxxyxxyxzzzxxyzxxyzyxzzyzzyzyyyyxxxzyzzxzyzxzyxzxxzyzzyxzyxyzzzzxyzyzyyxyxyzxxzzyxxyzyxzzyyzxyzxxzzzxxzzzzyxyzyzxyzzxzxzyzxzyxyzxzyxyxyyyyyxxxxyyzxyzzxxyyyyyzxyzxxxyxyzyxyxxyyxyyxyxyzyzyzzyxxxxzxyxyxyzxzyxxzxxyxzxyyzxyzyyyyzxxzxyzyyyyyyyyzxyxxzyxyzxyyyxzxxzzzyyyyxzxzzyzzyzzzyxyxxxxyxzzzyyzyxzyzzzxzxxxzxyxxxxyxyzxyxzxzzyyxyxxxyyzxzzxzyxxyyyxyzyzxxzzzyyxyzyzxzxxyyyzyxzzyzzxyxyyyzzxxyxxyyxzzyyzxzxxyzzyzyxzzzyyyxxzyzyyyxxxyxxxyyxzyxzxzzyxxzxxzxzyxyyxxxzyzzzyzxxzyxxyxxzxzxzzxyxxxyxxzzxyzzxyxzyxxxxzxzyzxyxyyzxyzxyxyzyyzzyzyyzyyyxyxxyxzxzzzyzzzyzzyyxxyxxxzyxxyzxyyzxzxxzxyxzyxzzyyzyyyyzxyxzyxxzzxxxyxyyxyyxzyxxzyyxxyxzxxyyzxzyyzyxzyxxxzzxyzyyzyyzzxxxzyyyzzzyxzyxyxzyxyzyyxzyxxyzzxzyzyyzxzzxyxyxxxxyzyxyxxxzxyyyzyxyzzyyxyxzxyzyxyxzxyyzzxyzxyxzxyxzyxzyzyxyzzxyyxxxyyzzzyyxzyxyzxxyxyyyyyxzyxxxxyxyyxyyzyxxxyzxzxxyyyyxxyyxxxxzzyxxxxzzxyzzzyxzxyzzyzyyxyxyxxzxxyxyzxyxxyxzyyzyxxyzzxzzxzxyxyyyxxzzyyyzzxxzxyzzzxxxzyzzyyzzxzzxxyxyzzxxzyyxzzzzxyyyxyxxxyzyyxyyyyyzyyzxzyzzzyxyxyxxxxzzxxxzzyyzxyyzxxyyzzzyyyzzxyyyxyxxzyyzzyxzxxzxxzxxyzxzyzzxzxxxxzxyyxyzyxxxzxyzzyxyxyyyzxxyxxyxzzzxzzxxxxzzyxxyyxxxzyzzyzyyzzxzyxyyxyzzxxxyyzyxxxxzxxxzyyxyzzyzyxzyxxxyyyyxzzyyzyyzxxxyxxzyzzxyxzzzxzyyxyyzyzxxxxxxxzxxzyyxyxxxxxzyxzyyyzxzxyxzyzxzyxxzzzyyyzzxzzyyxxxzxxyyyyyzzyxzzxzxxyxxzxxzyyyzzzxyxxxyzzyxxxxzyxxzzzxyzzzzzxxyzxzyzyyyxyyyxzxxxyyzxzzyxyxxyzzzyyxyxxxzyzxxzyyyzxzyzyzyxxyxxyxxzxyzyyxyzzzyxyyyzyzyyyxxzxzzzyyyzxxxyyzzyzxzxyyzzzyxyzzxyxxzyyyxxyyzzyxyxyzxyyyzyzzzyzxyzzxzxyxyzzzxyzxxzyxzzzzzyzzyyyzzyxzzxzzyxzzxxzyzxzzxzzxxyyyyyzzzxyzzzxzyxzzxzzxxzyxxzyyzyxxxyxyyxxyyxzyxzyzyzxyzxyxxzzxyyyzyxzzxxxyzzxyzxzxzzyzxyzxyyzxyxzyzzxyyxxxxxxzyxzzxzxxxxxxyzxxxzyyzzxxyyxzzzzxzyzxxzxxxyyyxxxyyxyzzzyxyyzzzxxyzzyzxzxxyzzxzyzyxzzyxyxyzyzxxyxyxzzzzyzxyzzzxxxyxyzxzyyzyzzzyyxzxzxxyxxxyzxyyyyyzzzzyyzzzxzzzxxxzxzyzxxzzyzxyyzyzyxyyzzxxyzxxxyxyxxzxyzxzxyxxyxyzzyzxzzyyzzyyzzzzzyzzxzzyzzxyxxzzyyyzxxzzyzxxyzxxzzzyxxxyzyzzxxyxzzxyxxyzzzxxzyxxzxyxzyxyzyzxyzxzxzzxxyyxzzyyyzyxyzxyxxyyzxyzyzxyyxxxxyzxxzzyzxxyxyzyyxxxxyyzzxzxyxxxzzzzzxxyxyzzxxxyyxzyyxzzzzyyyyyzzyxzzxxzxyyxxzyyzyyyzxzyyyzxyyzyxzzyyxzxyyxyyxyzyzzxxyxyzzzzzzxzzyzyyyxxyyxyzxyyxyxxyxyyyzzzxzyzxxxyzyyzyxzyzzxyyzxyxxyzyyxxzyxzyzzzzzyxzzyxzxzzyzxyzzxzzzxxxyzxzxzyyyzxyxyxyzzyzyyxyzyxyxxyyzzyyxzxyzzxzzyyzxzzxyxyzyxzxzzxxxxxzzxxzzyyxzyzzyyzzyzxyxxzyyzxzxzyzzxxyzyyzxxzyyzzxxxzyyzyxzzxzyzzxyxzxxxzyzxyyyyxyxxxxxzxxyxzxxzzyxyzyyyzyyxyzzxyzyxxyxyxzxyzxyyxzyxxxzzyzzzzyyzzyzzxzzyyzxyyyxxyxxxyxxyxzyyxxzyxxzxxxyxyzxzyyzyyzzxxzyyzzxzyzzyxxxzzyzxxxyxyyxxxzyyyzxzxzyyyzzzzxxyzzyzxzzyzyyyxyxxzyzzxxxxyxyyyyzzzxzzxyxxzyyxxzyyzzzyyzxxyzyxzxxxxzyyyxzxxzyzyzxyzxxyxyyzxxzzxxzxyzzxzyzxxxzzyxzzyzxyyxxyxzyxyzzxxxzyzxzzxyyyzxxxxzyzzyyzyyzzxyzzyyyzyyxyyyyxxzyxzyzyyxyzzxyxxzzxyyyzxzxxxzzzyzyxyzyzyxyxyyyzyyxxyyzzzzzzxxxyxyxyyyzyxyyyzzxxxxyyyzxyxxxyyyyzxxxxyxyyyxzzyzyzzyzyzxyxzyzxyyyyzyyyyxyzyxxyxzxxxxyxxyxyyzyyyzyzxzxyyxzzzxyxzzyyyxzyyyzxxyyzyyyzyxzzyzzxyyxxyxzyyxzxzxzxyyxyxyzzxyyyxyyxzyyyzzyxxxyyxxxzyyyzyzyxxyzzzyyyxxyzyzxzyxyyzyzyxzyxxxyzzzyxyzzxzyxxyzxzxyyxyzxyxyxzzxzzzzzzyyxxzzzzzxxzxxzyyyyxzyyzzzzyyxzyyxxyzxzyxxxxxyzyyzyzyzxzzxzzyxxzzzyxyxxzxxzxzzyxzxyzzzxxzxxxyzxzzyyxzyzxxyyzyzzyzzxzzzzyyyxyxyyyxxyzyyyzyzyxzxyxyzxzzzzyxzzyxyyyyxyzyxxyyxxxyyyyyyxxxzxxzzxzyyxzzyyxzzxxzyyxzyzxzzxyyxxyxzyxzxxxyxyzyzzxzzyyxyyyzyyxzyxyxyxxxzzzzxyyyyxxxzyyxzxzyxzyyzxxyyzyyzxxyzyxxzzxxyzzyyxzyyyxyzxzyyxzyxzxzzzyyyzzyxxxxyzyxxyxzzyyzzxyyyxzzxzyxxxyyyyzyzxzzxyyzxxzzxyxxzyzyxxyxyxyxxyxzyyzxyxyzzyxyxzzyxzzyyzxzzzyzxyyyyzxyzyzzyyxxzyzxyxyyzzxyzyzzzxzzyyzxyzxxzxzzyzyzzzzzzxzyzzyzxxzyxzzyyxzzxxxzyzyxxxyyzzxyxyxzyzxxxyxxyxzxzzxyxyzzzyyzzxxzxzyxxxzzxxxzxyyzzxzyxxzzyyyyxzzzzxxxxyxyxzyxxyxyzxxzxxzyyxzzxzxzxzxzyyzxyyyyxzyzxxyxzxyyxxzyyyxyxzyyxyyyzxyyyyzzzzxxzxyxyxzzyzzxzzzxzzyxxxzxyxzzzxyxyxxzyxzyzxyxxzzyzxyxyyxxyyzyzzyyxzxzzxxzzyzyyyyyzyzzzzzxyzxzzzzzxxxyzyxyxxzzzxxxzxzyyyxyyzyxxzyyyzyyyzzxzxyzxxxzxyyzzyyxzyxzxzxxzzzzxxyxzyyzzxyzxzyzzyyzyzyyxxxzxxyzxzyzzyxyxxzzzzyyxzzyxzzxyzxzyzxxyyxxxxzxzxxzyzzzzyxyyxzyyyyyxxyzyxyzzzyyzzzxzxxxyyyyyyxzyzxzzzyyxyzyyzyyxyxyyyyzxzyzxzxxzxyzxyxzyyxxxzzzzxzzyzyxxxxxxyzyyyzxxyzyxzyyyxyxzxyzzzzzxxzyzzxzyxzxxzyxxxyyzzzxxzxzxyxyxzxyxzzzyzzxzxyyxyyzzyxxyzzyyxxzyzyxxzzzzxxxzxxzxxzxyyxzzzyxzxyxyyxyxyxyxzyxzyxyyxzyyyyyxxxzzzzzyxxyyzxxxzyyyyyzyzzxyzxxzxyyxxyzzzxyxyxyxzzxxxzxzyzzyzyzxyyxzyxzyyyzzzyxyyzzyzxyxyyyzxxxxxzyzyyzyyyzzzyxxyyxyxxyxyxyyzzyxxyzyyxyxxxxyzzyxxxzzxzxyyzyxxyxyxzyxyxzyyxzyyzyxzzxzxxxzxyyyxxzyzxxxxzyyyzzyzzzzzyyyxxxxyxxzyxzyyxxzyxzyzzxzyyzyxyzyyyyyxyyxzxxyyzyyzyxzxzzxzyzzxyxzzyzxxzyxzyxxxzzzxyzyyzxxyyzyxxxxxxyxzzxyyyyxzzyyyzzyxxxyzxyzyxxxyxyxxyxxxzyzzyxzzyzxzxzxyzxxyxzzzzxxxxzxzyyxyyxxyzyyxxxxyzyyzyxyzxyxxyxzzzxzzzzzxyyxxyxxzyyxzyyzxyzxyyyzzxyyxzyzxxxyyyxzzxxyzyxzxyzyyyzxyyxyxzxxyyxzyzzzzxyyzzxxxxzzxyyzxzxyzxzyzyyyzyzzzxxxzxyyxyxxxxxzzxxzyzyzxzxxxxxxyzzyxzzyzzxyzzzzxxxxxzxzzxzxyxxzyyxzxyxzyzzxzxyxzyyyzyzxxyxzxxyyyxyzxxzzxxyxyxzxxxxxzzzyyxxzxyyyzxzzyyzxyxyyxyzyzzzxyxzxzyzxxyyxzyxxyyzxzxzzxyyyxyzyzzyzxyxzzzxzyxyxzzzyxxyyzzyyyzzyzxxxxxzxzyzzyzyxxyxzyzzyyzxyzyzzzzzzxyzzzxxxzxxzxzxyzzzyxyxyyxyyyyyyxxzzxxyyxyyzxzyzzyxyyxyxxxzyzzyzyzyxzxyxxxzzzzyzyyyzzzzzyzyxzzzxxyyxyyzzyxxxzyyxxyxzxyxyyyyxxxxyxzyxxzxyxyzyxxxxyxyxzzxyzxyxxxyyxzzzxzyzxzzyzyyyyzyyxyyzxxzzxzzyxxyxyzxxzyzxyxyxzyyzyyxyzzzzzxyzzyyzxyyyyyyyxyyzzyxyyzyxzyzzzyyxyyxxxxyxzxyxyzxxzzxyzyxxzxxxxyyyxxyzyxyzyxxyyyxxzzxyyzyzyxxzxzxyzzxzyxxyzzyzxxxxxzyyzzzxxxzyzxzzzzzyyyzyyyzxzzzxyxzyzyyzyyyzzxxyyyyzxxzxzxxyzzyxxyyxzyyyzzxyxxzyyzyyzzyyzyxxyzxyyyyyzyyzyzyyzyxyyzzyzyzyyzzyzzzzyzyxxzzyyzxxxxyzzyxxxxxxyyxzxxyzyyxzzxzzyyzyyxxyzzyxxxxyyyyzzxzzzzxyxzxxzzzzzxyzxxxxzyzzxyzxyyzxzxzxzyyxyxxzyxzyyyxyyzzzxyyzyxzzzxxyxxxxxyyzyyxxxyyxzxxzxyzzxxyyyzyxxyzyxyxxxxzyxyzxzzzyxxzxzyyzyzyzxzyxzzzyyxxxxyzzzxxxzxxzzxzxzyzzyyzxyyyzxyxxyyzyzyyxzyzzxzxxzyzxzxyzzzxyxxyxxyxyyzxyzzxyzxxxxxyxyzzzzyzxxyzxxzyzyyyxzzxxyyxyxyxxyyxzzxxzzxyyzxzxyzyzxyyzxxzxyzyzzxyyyxxxzyyyxxxzyzzyzzzyzzzzyxzyyyyzyyyzzxzzyzxyxzyyzyyzzxzyzyyzyzzzyxyyyzzzzzyzzxzyxyyyxzxzzyyyxxzyzzxzxxyxzyyzzzxyxzxyxyyyxyxzxzyzyyzyyxzyzxyzyxxxzxyxyxxyyzyxzyyzxzyzzzyzyzzzyzyzxzxxxxxxyxzxxxzzxyzxxzxzxzxzyxyzzyzxzzxxzxyyyzyyxzzyxyyyzyyzxxxyxzyxyzyzyxzxxxzzxzzzzzyxzxxyxxyxyxxzxyxzzyzyzzxzyyxzzzxzzxyyyxzyzyyxzxxzxzyxyxyzxxzxyyyyzyxzxxzyzyxzzzyyxzzzzzzyyzyyzyxxyyxyxyxzxyyyzyxxyzyyxyzyxyzxxyzzyzyyzxzyxyyzxzyyxyzzxzxxyzzyyxxyxzyzyxyxzxyxxxzzyxzyyyxyxxzyxyxyyzzyxzxxzxxyyyxyxzzxzzyyxzxzzyyxxyzyyxzyyzxxxxzzzyxxyyzzyyzxzxzzzzxxyzxyxzxyyyyxxxzzxxzxyxyzyzxzyxzzxzzzxzxzyxxzzyzxyyzzxyzxzzyxxzyzyyzxyxzzxyxyzzzxyyxxyzxxyzyzzxzxzyyyyxzyxyyxxxxyzyzzyyyxzxzyxzyyxxzzyzyxyxxzyyxyyyyxzyxyxyxxyzyxxyxxyzxyzzzyxyzzzxzzxxzyzyxzyxyxyxxzyzxzyxzzyyxxzzxxzyyyyyzyxxyyxzzyyzxxzxyyxzyxyxzzzyyxyxyzyzzzyzzxzyxxzxyzzzyyyzzxzyyzxyzzxzxyxxxxzzxzyzyxyzyzyzzzyxyzxzyyyxyzyzyxxzzyxzyzyyyzzyxyzxzzxxxxxzyxxzzyyzxzzzxzyyyyzyxyxxxyzyyxxxzxxzxyyxyzyxxxyzzyyxyxyyyxzzxzxzxxzzxyxyyxzxyyxyzyyyzxzzxzyyzzxxyxzxxxyzzzzzxxxxyyyyzyxxyzzzzzxyzzyyyxxxxzyzzzxyzxzxzzzxyyyzxzxyzyzyxzyzyxyzyyyzyyzzzxyzyzxyxxzyyxyzyzzxzzzxzyyyyzxxyxzxyyyxxyzyyxyzyzzxxxzyzzzzxzxzyzyxxxyzxyxxyxzzzyxyzzyxxzzyxxxyyzxzxyxxxxzyyxyxyyzxzxzzzxyyzyxxzxxzxxzxxxxzzxzxzxyyyyyzyzzzxzxyxyzzzxzxyxzxzyzzzzyzxyzxyzxyxxyzyyzxzyzzyyyzyxyzxxzzzyxzzxyxxyxxzxyzzyyxyzyzxzzyxxyzxzxzyyzyyzxyxzxxzyyyxzxxzxxzxxxzxxzzyyzxxxxyxzyzzyxxxyzxyzzxyyzxzzyxxyyxzzxxyxzxxzzzxyyzzzzzyzyyxxzzyyzyzyzyyyzyxyzxzxyyzyxzzyyyzyzxzyzzyzxxxxzyxxzyxyxxxyxzxyxxzxyyxxxzyxyzxxxxyzzzxzxyzzzzyyyxxxxzzxxzxyyzzxyxxxzyxyxxzxyzxyyzyyyxyyzzzxzxyyyyyxxxxyxzyzzxxxyxyxxzxxzxzzzzyyyzxxxyzxzyzyzxxyxyyxxyyxxyzyyxyxzyxxzyxzxzxzzxxxyyxzxzzzyzzxyxzxxxzxyzyzyyyxxyyxxxyyzzyzzxyzzxzzyyzzyzzxyxyxzyxyyxyyyzyzzxzzzzyzyxxzzyxxxxzzzyyyxxzxxzzzzyyyyzxyxyyzyxxyzyyxxxxxyzyxzyxzyzxyzzxyyyyxzyxxxzzyzzyxxxxzyzyxzyzyyyzzyzxzxyxzxyzyzzxzzyyxyzxzxzzzxyzyzyyzyzyxzyxzzzxxyyxyxyyzzzyzxxxyyxxyzzxxyxzzxzzyyzyxyzxxxxzzxzzyzyxzzyyzyyxzxxzzxyzxxyxzzxzzzyxzxxzyyyzyyxxyzzxzzxzzxyzxxyzyyzxxzyyzxyzzyxyxzyyxzyxzxxyzyzyyyzzzyzxxxyxzyyxxzxyxxxxzzxzyzxyxzxzyyzxyzxyxxyzxxxyzyzxxzzyxzzzzzyzxxyxxyxxzzxxxzzxxxzzxzxzzyxyxzyxxyyxxzxxzyxzxyyyzyxxzyxzzzzyyyyxyyzzyyzzxzyxyxzxyxyyyzxxzxyzzxxzzxyzxyyzyyzxzzyzzyzyyzzxyyyyyzyzxyxyxzyyxzzzxyzzyxzxxxyyyyyxxzxzyyyzzzxzyzyzzyxxxyzzzzzyzxyzxyyzyxyyyxxxzzzyxyxxyxzxyyyxzyxzzzzxyyzyyzzyxyzyxzyyyxxzzyyyxxxyyxzxzzxzxyyzyxyzzxyzyxyxxzyzxzzzxyzyyzxxyzxzzzyzxyzxxzyyyxxyzxyxyyxxyxzzzxyzyxzyyxyxzyxyyzzyzxxxyyyxyzzzzyzyzyxzzxzxxyyxzzyxyxxyyxyzzyzzxzyyxzxyyxyyxxyyxxxyyxyxxxxzzzxzzzzxzzyzzxxyyyxxyyxzzyxyzxxyzyzxxxxzzzzxxyyyxyzxyyyyxzxyyyzzzyxyyyzzyzyzxxyzxzyxxzxzyyxyxxxxxxxzzzzyyyyyzzyyxzzxyxyzzzxxyxxzzyyyxzxyzxzzxxzxzyzzzyyzyxyxyzxzxxzyzyxxxxyzzzxzyxyxxyzxzxxzyzyzxzyxyxyyxyzxxyyyyxxzyzyzxxyzyzyzyyzxxxzyzxyzyzyyxzyyxyxxxyxzzyyxxyyxxyzyyyxxyxzyzzzyyxxxzxxzzyzyyzyzzzxzzxzzzyzyxyxzxxyxyyxxyxzyzxzxxzyzxzyxzyzxyzyxxzyyzyyyzxyxzxyxxyyzxzxzyyxzxyyyxzzzzxxyyyxzxxyyxxxyzxzyzzxxzzyyxzyyzyxyyzxxzyyyxzxyzzzxzxxyxyzxyxyzzzxxyyzxyyzzzxzyxxyxzzyzzxyzzyyzzzxzzyxzxyzzzyzyyyyyzzxzyzxzzzyyyxzxzyxxzzyzxzxyzyyzyxyxyzxzzyzyzyyzxxxyxzxzzzxxzxxxzxyzyzyyxyxyxzzyzzyzzzyzzyyzyxzxyyyzyxyzyxyxzxxzzzzxzzzxxyxyxyyyzxyzxyzyzyxzxzyxxxxzyzzxzyyzzzyxzzyyyyyyzyxxyyyyyzzxxyxyyzyzzxzyyyyzzxzzyxzyyzyyyxzxzyzzzxyxxzzzxxzyxxzxxzzzxyyxzyxyyzzyxzyyzzzzzxzyxxzxxxzyzxzyyzzxyxxxxyyzzyzyzyzzzzyzxxzyyxyyzzxyxzxzyyyzxyyzzxzzyyzxxyxxxyyyxzzzyxyyxxzxyxxzzxzzxyyxyzyyyyyzzzxyyyyyxxxzxzyyyxzyzyxzyyyyyyzzxxyzzxxyyzzzyzxxxxxyzzzxyzyyyyzzyzxzyxyyyzzzyxxzzxyzyzyyyyxxyzzyyyxzzxxzyyyzxxxyxyxxxyzxyzyyzyzxyzyxzzxxxxxxzyzyzzxzyyzyyxzxxzxzxzyyyxxyyzzzxyxyyyzzyxzyyxzzzzxxxzyzzzxyyzxzzxxzxzxxyyxzxxxzzzzyzyxzzxxzzyzxzzzyyyyzzyxyyyxxyxyzyzzyyyzxyxxyxyzyxzxyzyyyzxzyyyyxzxzzzyxyyyzzyyxzxxxyzzyzxyzzxxzzzyxyzzyxxyzyzyyzxzzxyyzxzzyxzyyyzyzxxxzxxzxzzyyzzzzyzzxzxzzxxyzyyxzxxyxyzzxxzxzxzyzzzxyzzzzxxyyxzxyxxxyyyxzyxzxzxyzyyxyyxyzxzxzxyxyzzxxxyzxxyxyxxzzxzyzxxyxyzxzxxzyyyzxyzzxxzxxyyxzzyzxxxyxyyzyzxyxyzyyyxyxyzyxxxzxzzyxzzyyyzyzzzxxyyzxyyzyyxyyxzzzxxxxzxxzzzyxzzyxyyxyzyxyzxzzxzzyxyyzxxyzzxyzxxzyyyxxyzxyyzyzxxxyxyxyyzyxyyyyyyzzxxyzxyxzyzyzyzzxyxzxxyyxyzyyyxzzzzyxxxyyxxyxzzxzzzzyyxyzzzxxxxzyyxzxzxyxyyxyzzzyyxyzxyyxzyxzyzxyxyzyyyzyxyzzyxyzyzyzyzyxxyyyyyzzxyyyyxyzxxxyxyyyyyzxyxzyzyyxxxxyyxxxxzzyyyyxyxzzxyyxyzxzyxxxxzzxxzzyzxyyzxxzxxzzxzyzyxzzzzxxyzxyxxyxyxyyzxyxyyzxyzxzxzyxxyyyxxzyyzzyzzyxzyxyxyyxxxyxzxyyxxzxzxzyxzyxzxzxxzxyxzzyxxyzyyxyzyyxyxxzxxxzxxxyyxzxxyzyxxxxyzzxzxyyyxxzxxyzzzyxxxxxyyyxzxzxyzyzzxzzyxyzyzzxxzxzzyxyzzxyxxzzzzyxzzzyzzzzxyxyxzyxxyxzzxxyyxzzyxxxzxyyzxyzzzzyyzzyyzzzzyxyxzyyxzzxyyyxyxxyxzzyxyzxzxzyzxyzyzzzyxzyxxyzxzxxxzxxyyzyzyzzyyzzxxyzxyzzxzyyxzyxzyxyxzzxyxyyxxyxyyyyzyzxyxxxyyzzyzxxyyxxzyyzyxyyyxyyzyyyyyzxzxyxzyxyzzzzzzxzyzzyyxyxzxzzyxzxyzxyxyyyxxyxxxyyyzyyzxxzyzyxxyyyxzxzxzzzzxxxxyxyxyyxxzxyyxxxxyxzxyxyxzyzyxyxzzzzzyyxxyxxyzzyzxxzzzyxxxyyxzyyyyxyzzxyzzzxyyzxxyxxyyzzzyxyyyzyzzxzzyxzzxzzyxyzzxxzyxzyyzyxzzzyzzxyzzzzyyxzyzyyxyzxxyzyxyxzzzyyxzyzxxyyyzzxxyzzyzzzzzyyyzyzxxyzxyzzzyxxzyyyxyzzxyzzxzxyxzzzyyzzxzyzxzyxzxyzxzyxxxzyzzzzxxzzxyzzyzxxxzxxxyyzxxzxyxyxyyzxxyzzxxyxzzzyxxyxyzxxyzyxxxxyyzzyzxzxxzyzzyyyyzzzyzyyzxyzzxzxzyxyzxyxyxxzzzxyxzxzyzzzxxzyzzyzxzzxxxzzyxxzzxyzzyzxxyyzyyxxzzzxzzzyzyyyxzzyyyxxzyyxyyxxzxzyxxyzyxyxzzxxxyxyzxyyzxxyxxyxxyxyxxxzzyyzyyzxzyyzxxxyxyyyzzxyyxzxyyyxzyyyyzyyxyxxyxzxyxxyzyzxyxxyzzxzzxxyzzyxxzyyyxzzyxyyyyzzyyxzyxzyyyyxzzxyyxzxzzyxzyzyxxyxyzyxxyyxzzzzyyzyyzxyzyzxzzyzzzxzxyzyzxxxxxzxxyzzzzxxxyyxxxyzyzzyzxxzyzzxzyzxxxxxyzzxzzzzyyzyxyzzzzxyyxxyzzyyzxzxzxxxyyzyzyyxzyyzzyyyyxxzyzyzzyzzyxzxzzyxyyyzzzyyzxxxxzyyzyyyxyxyzzxxyxxxzxxyxxzyyxzxzyzzxxzzxxyyyyxyyyyxxxxyzyzxzyxzzxzxyzzzyyyxyzxzyxyyyxzyzxzzxxxzzzxzzyyzzxzxxyzyzzzxyyyxxxyxyyyzyxyxzzzyyxxzzyzxxxzxxzyxzxxzxyzzyxzzzxyzzyzyyyxyzzzxxyzyyyxzzzxzzzxxyzzzzyyzxxxzzzyxxxxzxzxxxyyxxyxxxyyyyzzxzxxyzxzxyxyyxzxxyzzyyxyxyyyxyxxyyzyyzzzxxyzyzzyyzxzzxyzxzyyzyyzxxyzxyzxyzxzyzxzyzzxxxyxyxzxyyzxzxxzzxyxzxyxyxxzyxzxzyzxxxzxxzyzyyzzzyyyyyyxxyxxyyxxzzyzxxzxxxzzyxzzyzyxyxyyzyxzxxzyyzyyxzyyxyzzzyyzyxyyyyyzxxxyxxzzxxxzxxzyxzyyxxxzzxzxyyxyyyyxyzyyzzyxxzxzyxyyyzxzyyxxyzxzxzzyxxyyzyxxzxxzxyxxzzyzyzyyzyzzyxxyxyyxxyzxxxzxxyyyzyzxzzzzxyyxzzyyzxxxyxzyzxyyzxzyxyxzyxzzyyyyxyxyzxzzzzxyzxyzyxyzyxxzxxyyzxxyyyxzyyxxxzxxyzxxyzyzzzzyzxyxyzzzzxyzyxxxzyyzxzzyxyxyzyxyyxyzzxyxxzxzxyzzxyyyyyxzyzxxzxxyzyzxyzxxyxxzyxzzzzzzyyxxzzxzzzxyzzzxyxyyxxzxxxzzxzyzyzyxxxzzxyyzyzzyyyyyxzyxxyzxzxyxxzxxzzyyxxzyyyyyxyyxzxzyyxxyyzzxyxzyxyxyzxxyyzzzyxyzxxxyyzzzxyzzzyxzxxyxzyzxyyxyzzyxxxxzyxyyzzxyzxyyyxzzyyzxxzyyyzxxxxxyyzyxzyzzyyzyxxxyzxxxyxxzzxyxxxxyzzzzyxxxxyyxxyzyxyxzyyxxzxxyxxzyzxyxzyxyyyxzxxxxxzyyzxzzxxyyzzyzzxyyxxxyzyxyzxyxzzxxyyyxxzyxzzxyzzyyzyxxxzzyzxxyzxyzyxyyxyzxyyyyzzxyyyzzzxzxyzzzxzxxxzxxzyxzxyxxyxxxyyxxxxyzxxxyzzxzyzyxyzzxzxyyzxzyzyzyyyyzzzzyyzxyyzzzzyxyxyzxzyxyyxyyxyyzzxxxyxxxxyyxxzxxyzzxyyxxxxyzyyxyxyzyzzxzyyyzyxzxxyyxxxyxyyzyyyyzxxxzzyyyxzzxxxyxxxzzyyxyzyzyxxyxyzyzyzzxyzzyzyyzyyxxyzyzzxzxzxyxzzzzzzxyxzyzzxzzxzyzxxzzyzzzxzyzxyzyzyzyxxzzxyyyxyyzzxxzyzyyxzzxzxzxxzxzzxzyyyyxyzyzzzxzzzyyxzxxzzxxzzzyxzxxzzxzzzyxzxzxxzyyyyyyyzzxxxxxzyyxyxyzzyxxzyzxxzzzzxzyyxxzyyxzyzyzzxyyxyzxzzzzyzyyzyzzzzyyxzzyxzzzzzyyzzzxxzyxyzyxzyxxyyxyzxzyzzyyzyyxyzyxzyxxxzyxyzyzzxyyyzzyxxyyyzzyzyxyzzzxxzyxyyxyxzyxzzzxzzzzyyxxzzzxxyyzxzxyyyyyzxzzzxyzxzyyxzzyyxyxxyxzyyyyyyzzzyxxzyzzzyxxyxxyzxzxyyzxyyzzyzyyyyyxyyyyyxyyxzzxzxxzzxxyzxxyzxyxxxyyzxyzyxyyxzyxyyxyyxyzyzxxzzxyzzxzxxzyzxxxzyyzxyyzxxxzyyyxyxxxzxxxyzzzxxzyyxyxzzzzyzxyyxyyyzzxyzyxyzyxzxyzxyzxzyxzyzxxyyyzxyyyxxxyyxzxzyxyzyzxyxzxzxxxxxyzyzzzxxzzzzxzxyzyxxyzxyzzxxzxzyzzyzyxzzyxzxxxzxxxyyxyyyxxyyzxyzyxyzxzyzyyyyxzyzxzzyyxxzxyyyzyzzyxyzxzyzzyxzyzzxyzyzxxyxyzzyyyzxzxzyzzyyxxzzzzyyzxxzxyyyyxxxyxxzyzyyxzzzzxzyxxxzyyyxyyyyxxxyyzxxzxyyzyxzyxxxxyxzzxyzyyyzyxxyxyxxyzzxxyxzxyyzyyyxzyzxxxxzxzzxzxzzxyzxyyzxxxxyyzxzyyxxzzzxxyxxzyzyzxyyxzxyzzxyyxzyxzzyxxyxxzzzyzzzxxxxxzxzzzyxyxzxzzzxzyxzyzyyyxxzyxyyyxzxzyyyyxxzxzzzyxyzyyyyzyxyxxxzxzzzxzzzzzzyxyzzxxyyxxxzzzyzyyxzyyyzyzxxyyxyyxyyyxxzzxyzyyyzxyxyyyzzyzxyyyxyyzzxxyxxxyyzzxxzzxxzxzzyzxyyzxzzxxxxxxyyyyxzyyyzyyyzzxzyxzzyzxxxyxzzzxxxxzxzzxyzzzxzxzzyxxyyxxxzyzzxzyyzxxyyxxxzzyxyxzzyyyxxzyzzyzxyyzzzyyzyxyxxxxxyzyxxyxyyzyyyzxzxyzxxyyxzxzzyyzyxyzyzyyxxyzxyyzzxzzyzxzyzxxyzxzxzyxyzyzxyyyyzzyyyyxzzzyyyyzyyxzyyxxyxzxyyyzyzxyyxyxzxyzyxzyxxzxxyxyzzzzzyxxzxxxzxzzyxzxzzzyxxyzxyzxyxzyyzyxyzxzzxxxzxzyzxyxyzyzzzzyxzyxyzxxyyzxyxzxzzzxyyzxzzyyyxzyyzzyxyzzzzzzzzzzyxzyzyxyyxyyzzyyyzzyzzxyxzzzxxyzyxzzyzxzxxzzzxxxyyxxyyxzxyzzxyxxyzyzzxzyyyzxzzxzzxzxyyzzxyzzxyzyyyxxxzyxxzzxyzzzyzyzzzzzzxxyxxxxyzyxzxyyxyxzxyzxyyxyzyxzxyyyyzzzzzyzxxxzyzxxyzzyyzxzzyxxxxxxxyxyxzzyzzyyyyxzyzyyzyxxyxzyyxzxxxyzyyxyyzxzxyxzzzxzzzyyxxzxyzyyxzxyxyyyxxxzyyxxyzxzyzxxyzxzyxzzzxzxxzzxxzzyyxyyzyyzxzxyxxyzxzyzzyyyxzxyzxxzxyzyzyyyyyxzyxyzzyyxyxyzxyzyzzxyyxxyyyxzxxxxzzyzxyzyzxzyzxxxyzxyzyyxyyzxyxxyzxzxxxxzyzyzyzzxzzyxyzxzzxzzxxzxyxxzyxxxyxxyyxxzyxzyyzyyyyxzxzyxzxyzzyzyxzzzzzzzzzyxzzxzxyzzyyxxyzxyxxzyzxxzyzyxzyyyxxxyyxzxyzzzxyxxxyzzzzzyzxyxzyyxyyxxxxxzyxzzxyzxyzzxzxxzzzxyxxzxyyzyxyxzyxyzyxxzzxyyxzyyzzzxyxzyyyzxxyzyzxzxyxzzyxyxyzxyyyyyyxzyzyzyzyxyzzxzyxyzxzxxyyzyxxxxyxxxzzzyyyxxzzzxzxxzxyxzyzyyyzzzxzzzxyyzxyzyxyyyyyzxxzyyzyyxxxyyzyxyyxyxzxyzyyyyzyzxxxzxzyyyxxzyxyxxxyzyyzyxzxyyzyyzyyxxzxzxxyxyxyyyyzxyxxyxyyxyyyxxxxxxyxzxzzzzzxyxzxyyyyxzzzxzzyzzyzyxzzyxzyyzyyzzzzxzxyyxyxxxyyxyyxxzyyzxxxyzyyyxxzxzyzxxyyyyxyxzxzxzyxzxxzyxxyzxzxzxyyyyxxyxzyxxxzxzzzzzyzyyzyxzxyyyzzzyzxxyyyxxyzyyyxzzxzzxzyxzzxxyyxzyyzxxyyzyzxxyyyzyzxzyyyzyxyxxzxxxzzyzyxzzxyyyxxxyxzyzxyyyyxyxxxyzxyyxxyyxzyyyzyzzyzxyyxyxyxxzzxyxxzzxzxxyzzyzyzzxzxxxyxyzyxzzzzxzyzxxxzxyyyzyyzzzzzyzzyxyzyyzzzxyxyzyzyxzyzxzzyzxyzxzyyxyxzyyyzxyyzyxzzxyyyyxyyxyxzxyzyxxzxyzyxyyyzxzyyyxyxyxxyxzyxzxxyzzyzyxxxzxyyyxzyxyzyzyyyzxyzyyxyzyxxyxxxzxxyzzyxyzzzzzxyxxyzxzyzxyxzyzzyyyxyzxyxzzzxzyyyyzzxyyyxzyxzzzxzxyzxyzyxxzxyyzxyzxzxxzxyyyyxzxyzyxyyyxyxzxxxxzyxxxxzzyyyzyxzzxzxzzyxxzyzzzxyzyxyxzyyzzxzzxxzyxzzxzzxyyzxyzyxxxzxyyzzyyxxyzzyxzyxxzzzxzxyxxyzyxyxxzzzzyzxxxxyzxyxyyyxyzzzzzyzyzzzyxyxxxyzxxyzxyxxxzxzxzyzyxyyzyyxzyxxxxzyzxxzyxxyyxyyyyzxyxyyzyyzzyyxzxyyzyyyzzzyyyzyxxyxzyyxzzxxzxzzxyxzzxzzxyyxzzxyzxzzzzxyzxxzzxzyzxzyzyzxxxzxxyxxzzzxxxxzyxyyxxzxyxzzyzzzxyyzyxyxzyyxyyxxzzzxzxzxxzxzzxxxxzzzyyzxxxzxzyyyxzzzyyzxyyxyxxxxzyzzxxyxzzzxzzyzxzyxyzyzzyxzxyzxxzxxzyxxxyxyzyzxxyxxxyyyzxyyxxyxzzxzxyyyzzyxyzzyxyzyxzyyzzzzzyyzyxyxyyxyxyzxxxzzzzxzzyyyzxzxzxzyyyxyxyyzxyxzyyyyzxzzzzzxzyzyxzxyxzyyxyyzyxxyxzzyyyyxxyxxzzzxxxxzxyyyzxxzxyzyzyxyzyxzxxzxxyxxyxxxxyzzyyxyzxzyyzzzyzyxxxzxxyxxyyzzyyzxyyzxxzzzxxyyxxzxyzzxyyzxxxyxzyzyzzxyzyxzxxxyzyzzyzxxyxyxxxxzxzzyzyyyxyxzyyxyxzzzxxxxyyzyyxyxyzxzxxzyxyyxzxxzzxxzyxzyzxyxyxxzyyxxyxxyyyzzxxyzzyxxyyxxzzzzzxzxzzyyyzxzyxyzyzzyxzzzzxyzxyzyxzxxxzyxxyzxyyzzxxzxzzzyyyzxxxxyxzyzyyyzxxyzxyxxzzzzzxxxyxxxyzyxxzyxzyyyyyxzyyzyxzzzyxxzzxxxyyxzxxzzzyxxzzzxxzzyzxyxxyxzxzyyzyxyyxzxxxyxxxzyxxxzzyxzzxzxxxxzyzxyzyyyyxzxxyyyyxyzzxzzxzyxzxxzzyyxxzyzyxxyzyzyzzzzyxzzxyxzzyyyxzyyzxyzxyzzyyxxyxyyzzxyyxyxxzyxzzzxxyxzyzzzxxzyxxxxxxyxyyyxzzxyzyxzyyzxxzzxzzzzyxzyyxxzxzxxyyzzyxyxyyzxxzzzyzzyyyyyxzxxxzxxyxxyzyxzzyxzzyzyxxxxyxzzyzzxxyxyyxyyyyxxxzzyyyxxyxxzzxyyzyzzyyzzxzyxyzyzyyzxyzxxzzyxxzyzzyzzxyxzzzzxyzzzyzyxzzxzyzxxyyxyxzxyyyyzyzyxxzyyyzxyzyzzzzxxxyzxyyyzxzzyxxzzyyxyzzzxzzyxzxzxxzzzyyyzzyxzyyzzxzyxxyzxxzyyxyzzxzyzyzzxzyzxzxyxxzzyyzzxxyyxxxxxzxxzyxxyzxzyzzyyxzxxzyzzyzyyzxxyyyzxxyxyyzxyxzxxxzzxyyzyzxxzzxzzyzzxyzzzxxzxyyyxxyyzzxyzyxxyyyzxxxxxxxxyyzyyyyzxyzzzzxyyzzzyzzyyxzxyxyxxyyyxyxzyzyyyyzzyyzxxyzzxxzxzyyzyzyxxzxxzzzzxzyxyzyzzyyxyxyyxzxxxyxyyyxzyxxzyxyxyxzyzxyxxyxyyxzzzzxyyxyxzxyxyzyxxyyyyyzyxxxyyyzxyyyxxxzyxzyxzxyzyyyxyyyxzzyyzyxyxyzxyzyxzzxzxzyyyyyxxzyyxyzxyxyyxxxyxxyyyzzyyzyzxxyyxzyyxzxzyyxzxzzxyxxyxxzzzzzyzxzzzyxzzyzzyzxxyyzyyxzyzxzyxxxyzzyxxyyyxzyzxzzyyzzxzzzzxxyxxzzyyyyxzyyxzzxxyyzzzyzyxxzyxyxxyyzxzxzzzyzyxzyyxxzyyyxyzyzyzxyzzzxzzzzzzxyzzyzxyyxzyyyyyxxzxzzyxxzzxyyxyxyzzzzxxyyyzzzxxxxzxyxzxxzyxzyxxzzyyzyyyxxyzxyxxxzzxzzxzyyyxzxzzzyzxzxyyyxxxzxyyzyyyyxzyxyzzzyyzyyyzyyxxzzzxxxyyxyxxyzxzxyzyyzzzxzyxxxyzyxzzyxyzzzzxxxyzzxxzyxxzzxyxyxyyxxyzxzyxxzzyxxyyyzxzyyyxyxzzxyyzzyzzxxyyzxyyzxzxxyyzxzzyzyxzyxyzxyzzzyzzzxxzxzzzxxxxyyxzzzyyyyyyxxxyxyyzzxyzzzxyxxzzxxzyyxzzxzyxyzyzyzzyyxxyzyxyyyyzyxzxxyxyyzzxzzxyxzyzzzxyxzzzzxyzyxyxyyyyyyzzyzxyzxxxyzxxyzzzzzzzyyxxxyxxyxxzyzxzzyxxzzyxyzyyyyxzzxxxyyxzzxyzyyyyzyxyyyxzyzyyzyyzxzxyxzxxzyzyyzyzyyxxzyyxzzyzzxzzxzyyzzxxzyzyzyzxyyyzzxzzyzyyyzzzzzyyyzyyyyyyxyyyzxxzyzzzxzzxxyyyyxzyxzyyzxyyyzzyzzzxyyyyxxyyzxxxxyxzzxzxxyyyzzyzxzyyzzzxxyzyxzxzxyzyyyxxzzzxyzxzzyzxxxyzyzyzxyzyzxyyyzxxyxzyzzxzxyyzyxyzxxzyzxyyxzyzxzzxyxyzxzxyzzzzxyxzxyyxyyzxxxzzxzxxzyxyxxyyzzyyxyzyyyzyxyzzxxzyxxzxzyzzzxxzxzxxzyyxzxzxzxyyzyyzyyzzyyzyzzyyxyyxyyyyzyzzzyzyzxyyxyzxyyzzzzxyxyyyxyxyyxxyyzyyyxzzzxyyzyzxyzyyxxxyxyzxxyxxzxzyzzxxyxxyxyyyyzzzzyxzyxzyxyyxyzxzxyzzyzzxzxxzxzxxxzzzyyzzzzyyxzyzzyyzzyyyyxyxyxzxzyxzyyyyyxzyzxxzxzzzzxzzzxzxzxyzzxxyyzzzxyzxxxzyzxyzxxyyzxzzxyxyxyyxyzzzyyxyxxyyxxyzxxzyxxyzyxxyyzxxxzyyyxzyzxzyyyxyzzyzzzzxyzyzxyyxzxzxzzxyzyxyzxxyzyzzxzxyzxxzzxzxyyxyzxzyyzyzzxyxzyzxzzxxxxxzyzyxzxyyxyyxxyyxxxyzyzxyzxxyyzzyxyzyxzxyyzzyzzxzxzxxyxzyzzyxzxyyzyxxzzxxyyxzzzyyzxzxzxyxyxxxzyzyzyzyxxxzyyzxyxxzzzxyzyzxyxzyxzxzyxyyyzzxzzxyyyyzyyzzyxyyzxzzxzzxxzzxxxyyxzzxzzzxyyyxzyzxyzzzzzzzyyyxxzxxzzzyyyzxzzyyyzxyzzzzxyxxzxxzyzxxyyyyxyzyyxyxxxyyxzyyxxxyxyyzzxyzyzxxyxzzzzzzzzzyzzzzzyxyxzyxzyxxxzyzxxyzyxzyxxyyyzzyzyxxxxzyxzzzyzyzyzyxxxzxyxzyzzyyzyyxzyxxxyxzxxyzzyzxyyyzxyzyzzzyyxzyyzxxyyxyxxxyyyzzyzxyxyzzyzxyxxyzxxxyyzxyyzyzzyxyxyyzzxzzxzyxyxzxyyyyyyyxzyxzzzyxzxyxzzzxxzxxyxxyxxzxyyyzxxzxxxxyxzyzxzzxyzyyyyxxzzzyzzzyxyxyzzxzyxzyyxyyyzzyxzyzzxzyzxxyzzxxxzxzxyzzzyzxxxzzxxxyzzyxxxzyzzxyzyxxyyyxxxyyzyzxyzyyyyzxyzyyyxyxzyzyxxzyxxyxyzyyxyzxzzxyzzyyyxzyzxzxyyxyzxzxxxyzzzxyzzyzzzzxzzzxxzzxxyyyzxyxzyzxzxyzxzzzxyzxzzxxxyyzxxzyyzzyyxyyzxyzyzyyyxyxxzxyyzzzxzyyxyzxyyxzzxyzzxzyzzyzyzxyzxyxyzzyxxxzyzzzxxzxyxzzyxyxxzyyyxyzzyxzzxzyxyyzzxxxxyyzyxyxzxyxxzyxxxzzzxzzxyzxxzxyzyxzyzxxzzzyxyzzxzzzxzzxxxzxyzzyyyzxzzyyyyzzzyyyzyyxyyzzyxzzxzzzxxzxzzxyzzxyyxxzzxxxxyyxyzyxxxxyxyzxxxyxxyxzzzzxzxzzxyzzxyyzyzzyxyxyyxxyzyyzyzzxyzyxyzxxzxzzxyyyxzxzxxyyzyzxzzyyxyzzxxxzyxyxzyxxzxxzyzyxxyzyzzyyzzzyyzyzyxyxyxzyyzxxyyxyxxyxzyyzzzxzyxzyzzzyzxzzzxzxxxyzzyyzxxzxxxzzxyzxxyxzyxyzzxzxxyzzzzzxyxzyxyzxzyyzyxzyyyzzxzxyyzzxyxzxzyzzyzyzxyxxyzxyzyyxyyyzzyxyxzzzxzxzyzxzzxzzzyyyxyyxyxxyxzyyxyyyzzzzzzyzyxyzzxxxxzzxyxyzzzyzyyxzxzxyyyyzyzzyyyzxzzzxzxxzxzzzzyyxyxyxzzzyxzzyyzyxxyzxxyxxzyzxyzzyyyzyyyxyyxxxxyyyzxxzxyxzxzzxzyxxzxyxzxyyzxzyyyzzyxzxyxyzzxzyzxxxxyzyxyzzzzxzzyzyzyxyxxzyxxzzzzzzxyxxxzxzxzxxyxzxyyzxzyyyyxyxxzxxxyyxyyzyyxyzxzyyzyyzxzzzzxzxzyyyxyyzyzxyzxxxzzzzyyzzzzzzzyxyzyxyzzzyzzzyyxyxzzzzyxyzyyzzxyyyxyyyyyzxyxxxyxxyzxyyxzyyxxxxzxxzxzyyzxxyzxyzyxzzyzzyyyxxyxyyyyxzyzxzxyxzzxyyxyxyxyzyzxyzxzxxyzyzxyxyyxzzxzzxzxxxxzyxyzyyyyyyxyzxxyxxxxzzxxxyxzyyzzzzyzzzxzzxzyyzzxxyxyyyyyxzzyyxxxxyzzzyxzyzyyyyxyzzxzzyxxzzzzyzzzzzxxxyzxyyyxxyzyzzxxyzzyyyxzzyzxzxyzyzzzxzyxxzyzyyxzzxyyzzxyzxyyzyzyzxyzyyyxzxxzyzxxyyzzzzxxyyxzxyyzyxyzyzyxxyyxxxxzxzzyzyxyyxyyxzzyyzzyyyyzxyyzzxxzxyyzyzxxzyyxxxyyzyxzxxyzzyzyyxzxyzyxyzzyxzxzzxxyyxzxzyyyyxyxyxyyzxzzxzxzxxxyxzyzzxyzzzxxxyyyzzyxxxxxxxzyxyxzzyxzzxzxxyxyxyyzzzxzxxyxxyzyzzzxyyyyxxxxxxzyyyxxyxyzzyzzxzxzxzzzzyzxxzzxxyyzxxxyxxzxzyxyzzyyzzyyyxxyzyxxyyxzyxzzxyxzxyyxxzxyyxyyzyyxxyyzxxyxyzzzxzzyxyzzyxyyxyyyyzyzxxxyzyyxyyxxzxxxzyxyzyyyyxyzzxyxyxyyzzzzxzxzxzyyzyzzyxzxxzxyyyyzyzzzyyzyyxzzzyyzxyzzxxyyzxzzyyzyzyzzxyxyyyzyyyyyxzzzzzxxzxzyxyyxxyxxxyzzzzyxxyxxxxyxyxyyxyyzxyzzzzzyxyxzyxxxxzxzyzzyxzyxzyzxxyzzyyzxxzzxxzzzzyxxzyzyzxzzyyyyxzzyzyzxyzzzyxzyyzzyxyzzzzyzxxxxzxzyzxzyzzyyxxzzzyxxyyxyyyzyzyxzzyzyzyzyxxzxxzyxyzxzxxzyxxyzyyyxyyxyxyyyzzyxxyxxyzyzxzyyzzzxzxzyzxyxyxyzzxxyyxzzzyxxzyzyyxyyxzyzxzzxxzzxxzxxyzzzyzxzyzxxzxyxxzyzxxzxzxyzyzxxxzzzyxyyzzxyxzxyxxxzyxxzxxxxyxxzyxzzzzxyyxyxyyxxzzzyyyzzxyzyyxzyzzzxyzxyzxyyyzzyxzzyxzyzyzyyyzyzyzzxzyzyyzzzxzyzxzyxxxzyzzxzyxxzxzzzyzxxzxyyyxxzxyyzyyzyyxxyxxzzxxxzyyzzxyzxyyzxyzxzxyxxzyyyyzzzyyyzzyzyyzxzxzxyyzzyyzyzzzxzxyxxxxyxxxzyxyzzxxyyyyxyxxzzxyyzxyyyzyzyyzzyzyzxzzzxzxzzxyxzxyxyyyzyxzyxzzzxyxyxxxyxzzzyzyxzxzzzzzyzyzzyxyxxyyxzyxzzzyxxxzzxxzzxxyyxxyzxyxyyyzzxyyyyyzxxzzyxzzzxyyxxxxxxyzxxzzyyxxzxxzxyxzxyyyxyyzxxxyxxxxzyxxyxzyyxyyyyyyyzzxzzzzzyzyyyxyxxzyxyzyzzzyxzzyzxyxyzyxyyzxyxzyyxxzxzyxxyzxxxxzxzzxyxyxyxzzzzyzzyyyxzyzxzzzxzxyxxxyxyyxyxyxxxzxzzyxxzzxxzyyxxzyzzyzxzyzzzyxxxxyzxzzxyxxyyyxzzyyzzzzxzzzzyzyxxyzyxzxxzxxxyxxxyzyyxzyxxyxxyxzyyyyzxyyzxxyzzzyzzxyzyxxxxxyyzxzxyzzzzzzyyyxzzyzxyyyxxyxyzzxzzyzzzzzxyyyxyxyyzyzxzxyzzxzxxzyyxyyyyyyyzyzzxyxyyzxyxxzxzzzzyzzyzxxzyxzzxyxxzzyyxyxxxxxzxzxxyyyyyyzzxxzxzxzxzzxzxxzyyzzxzxxxzyyyxyxzxzyxzyyxzzyzxxxyzyyyyzyyxzxzyxxzzzzzzzzyzyxzxzxzxzzxxxyyyzxyzyyyxzxyxzzzyyxyxxyxyzyxzxyzxzyzxyzxxzzzxxyyzzxyzyxzzxxyxxxyxxzzxxxxzyzzyyxzyzyxxxyzxxzzzxxzzyxyyyyxxzxyxxyzxyxxyyyxzxyxxzyzxxzyzyzxxyzxxxyzxzzxxzxzxzzzzzyxxzyzxzxxzxyxxxxxyyyzyyzxxxzyxxzyyyyxyyzyzyzzyzxzyyxyyzyyxxxzzyzyxzzyyyxzyzyxxxxxzzyzyxxyyxxzxxyxyxxxxxyyxxxyyzxzzxzzyzyzyxxxxyxyyxzzxyyzyyzyyxyyyxxxzyyxxyzxyzxyxxzxzxzzxzxxxyyxxxzyyzzzyyxyzyzzyzxzzxxzyxxyzzxzyyxxxxyzzzzyxyxyxxzzxxxyxzyzzyzzyyyyzxxzxxyxxzxyzyxxxzzyzxzzxyxzxyxyyxzxzzxzxyxyzxyxyyxzyxyyxzxyxxzzxyyxzxzyxzyzxxyyyxzzxxzzyyzzyzxyyyxyyzyzyyzxxxxyxyxyzyxyzyzyzzxyxxzzzzyyyzzzyyzzxzyxyzyzzxxyxyxzzzzzzxxzyxzyxxxzxxyzzyzyzzzzzzzzzxxyzxzyyyzyzzyxzzzzyxyyxyxzzxyzyxyzzyyzyzyxxzzzxxzzzzxxyyzyzzzzyyzxyxxxzyxzzxyyyzzyxyxxyzxxzyzxyyxxyyzzxzzzyyxyyyxxxyxzyzxxzyyzxyzxzyzxyxzxzxxyzzxyyxxyzzxyzxyzzxyzyxzxxyyxzyxyyyzxxyzzyzyyzzzzxzyxzzzzzzyyyxzyyxzxxzxxyxxyzzxxyyxyxyxxxxxyyyxyzxzyxxzzxxyzyxyxzxyzxyyxyzxxxzyzxzxyzxzxyxxyxyzzyzzyzxyxxxxzyxzzxxyxzzzzyzxxzxyzyxzxxxzyxzyxzxzxyzzzxyxzzxxxyyxzyzyxxyyxzzyyyyzxyzzzyzzzzyzxzzzxzzyxzyyxzzyxyzyxyzyzzyzzyzyzyzzyyxxzxzzyxzzzzxzzzxxyxyyzxyyzyxxxyyxxxxzyzzzzyzyxxyzxxxyyxzyyxyyyxyyzxxyzzxyxyyxxxyxzzzxxxxzzxxyyxyzzzxxxyzyyzxxxzxyzyxxzzxzyxzyzxyyxzzyzxzxzyxxyzzyzxzzxxyyxyyzxzxzzzzxxxxzzxxzxxyzyzxxyxyyxzzyxzzyyxyyzzzxzzxyxzzzzxyxxyyzyyyyzyxyzzyzxzxxyzzyzzzzzyxxyxxzyxyyyzzyyzzxzxyxyzxyyxzyxyyzyzzxzzyxxzyxyzyzyzyzyyzzyyyyzyyxyxyzzxxzzyzxxzzzyxzzzzzxzxyzzyyxzxzzzxzyzxyyzzxxyxxyzzyzyxyzzzxyyzyxzxzxyyzxyxxyxxzxyyzxzxyyyyxxxxyxzxxxzyzyxzyzyzxzzxyxxzxzxzzxxyzzxxxxxxxyzyxzyyzzzxzyyzzyzyzxyxzyyxzxzyyyyzzyyyxzzyzzzyyyxzzzxzyzxzzxxyxyxzxxzyzyxzyxzzzzzzxxzyyxyyzyzyxzzxxzzzyyyyyzxxzzzxxxzyzzxyzyyzxxzzyyzxxyyzzzyxxyzzyyxxxzxzyzzxxxzxyzxxyxzyxzyzxyyxyxxzyyyyzxyzxyzxzzyxzxzyzxxzxxxxzyyxxzxzxzzyyzzyzzyxzyzzyzxyzxxzxxzzyxxxzzxyyyzxxxxyyzyxyzxzyxzzyzyzyyzyzzyxzzyxxzyzxyyxxxxxxyyzzyzyxzzyxzxzzzyxzyxxyxxyzyxyzxxyzxyyxyxzyzxxzzxzyyxxyzxxyxyxxxxyxzxxxyzxzxzyyyzyyxzzxxxzzzyyyyxyyzzyyzyxyyyyzzxzxyyyzxzyzxzzzzyyzzyyyyxyyzzyzxxxyxyyyzzzyxxyzzxzzyxzxzzxzxyzxyxzxxxxyyxzxyyyxyxzxyxxyxzyzxyyyzxzzxyxzyyxxyzxzyzzyyxxyyzxxyzyzxxzzxzyzyxyxxzzzyxyyyyxyzzzxxzyyyzzzzyyyzzzxyyzzyzzyxzzxxxyzyyxzxzyyxyzxxzzzyyzzyyzxyzzzxxxyyzzzzyzzyyyzyxxzzzyyzzyzyxyxyxxyzyyyzyzzyxxyyzyxyzzxxzzxyzxxzzxxxzxzzyzzxzyzyxyxyxxxyxyxxyyxzxzzzyyzxxzzyxzyxxyxyxyyzyyzzxxyxzyxzyxxyxzzyxzyzzzzzxyyyxzxxyxyyyxxxxxzxzzxzzzzyyzxzxxxzxyzzxyyxxyyxzyxzyzzxyxzzzxyxyyzzzxxzyzzzzzxzzyzxyxxzzxxyxyxxzxxxyxzyzyyxyzxxxxyzxxzxyxyyzzzzzxxxzxxzzyxxzzyxxzxxzzzyzzzyzyyxyzzyyzzyzxzzyyyxxzxxyyyzyzyyyzzxyxxyzzyzxyyzxyxyyzzxzyyxyzzxzxxxyxzzxxyyzyzyzyxyzzzzyxxyzzzxxxxzzyyyyxxzzxzyzyyyxxzzxyxyyxyxyxzzxxyyxxxxzyxzxyyzyzyzzzzxyyxyzxxyzyzyzxyxyyxyyzyzxyyyzzxyyxxzzzyzxzxzyyxzyzzyyzzxzxxzxyxxxyzzyzzxyxzzyzxxzyyzzyzyxyyxxxzxyzxzyxzzyxzxyxzyxyyzzxzyzyxyzyzyxyxyyyzxxzzzzxxxyzxyyxyyzzxyxzyyyyzzxzxzxzxzzxzyxzzxxxxzyxxyzyyxxxzyzzxzzyyxxxxxxyyzzzyyxyzzyzxzyyxxyzyyzzyxxyzyyxzyzxxyzzyyzzzzzxzxxyzzzxxzyzzyzyzxzyzyxyyyzzxxzxzyxyxyzxyyxxzxzyyxzzxyyxxyxzyxzzyzzxzzyzzyzzyxyxzzxyzzxzzxyxyzxxzxyxxzzxyyyyyzyxzxzxyzyyxxyxyyzzxyzxyxzyxxxzxyyyyxzxxxyyxyxyxxxxyzyyyxzyzxxyyyzyzxxxzzzyyyyzxxxzxzyzyxyzzyxzyyyzxxyyyyzyyzyyzyyyzzxxyzzzzxyzzxyzyyyzzzyzxxzyxzyyzzxzzxyzxxxzyyyzzyxzxyyxzyxxxxxxxyzzxyxxyyzxxyyyzxzzxzzzyzyxxxzyxzxzzyzzxzzzxzyxxxyzzyzyyzxzyyxyzxzyyzzzxyxyzxxzyzxyzzyzyzxzxxzyxzzxzzzyxxzxxzyzxxyxzzxzyxzyxxxzyxzyzyxzxzzyxyyxxzyyxzxzzyyzzzxyzzyxyxxyyzyxxyyxxzzxyyxyxyxyxxyzxxyxzzyyxzyzxyzzzxxzyxxzzyzzzzxzzxzxyxzzxyzzxyyyzyyzyyzzxzxxzyyxzzxxxzzzzzxzyxzyyyzyzzzyzyyyzzyzyxxxxxxyzzxyyxyxyxyxxxzzxyzyyxzzxyxxzxzxxyzxyzxxzzyzxzzyxxzxzxxxxxzxxyzyyxxxzxxzyyyxyzyxzyxxyyyyyyxxzzzzyzxxxxxzyxzyzzyzxxzzyyyyzzxyzzyxzzzzzzzyxxzxxyxzzyzyzzzzxyzyyzxzyzxzxzyxyyyyzzxxzxxxxzzxzxyzyxzyxxzyxzxyxzyxxyzzzzzzyyyxyzyzzxxzzzyxzyxxxyyxyyxyxzyyzzyzxyxzxyxyzyzzzxyyyzyyyyxyyyxzyxzzyyxyzzyzzyzzxzyyyyzxxxzzxxzxxzyzxzxzyyxyzyxzxzzyzzxxyxyxyyzyxxyzxxyzyzxyzxzxzyzzyyzxyzzyzxzzxyxzyzxyzxxxxzxzxyzxyyxyxxyyyyyxzxxzyyyzxxyzzxyxxxzxzxyxzyzxzyxxyzzyxxzzyxxxxxyyzyyyxzyxyyzyzxzyyyzyyxxxyxyyyzxyxxzzyzxyxyxxxzyyzzxyyyyxzyxyyxxyxyxxxzyxxyxzyyyyzzxzxxxxxyzzxyyxyzxyxzzyzzxzxxzxyyzyzyzyyzxxxyxzzyzxyzxxyxzzyxzyyzxyzzyyyyzzzzxyzxzzxzxzyyyzzyyzyzzzxzxzyzxxxzzyzzxyxzxzxyyxyzyyxzzyyyyxzzxzxzzzyxxzzyyyzxyzzxzxyzyxxzyzyzxxyzzxzyyxyzyxzxyyxzzyxzxxzzzyyyzyzxyxyxzzyzyyxzzzxyzxyyyyzzzxzxxzxzzzxzxyzyzzxyzyyzxyzyxxyyzyzzxxxzyxxyyxzyyzxxzzxyxzxzyzzyyyzyxxyxzxyyxzyyxzxxyxxzxyyyzzyzzxzxxzzzzxyyxzxyyyzzxyxyyxyxyzzxxyxyxyxzyyyyyzzzxzyxzyxyxyxyyyxzzxyxzzxzxxyxxzxyyyyzzxzyyzxxxzxzyyyyzzzyzzxyxxzzzxxxxzzzyzyyxyxxyyxxzzxxyxxyzyxyzyyyzzyzyzyzzxzzyxzxxyyzzyxxxyxzxzzyyxyzxyxzxyyyxyyxyxyzxyxzxyyyyxzzyxzzzzyxzzyxzxzzxzyyyzyzzyzzzyyxxyxzzyxyxxzxxzxxyxxyxyzzzyzyxzyxxzyyyxyyxxxzxyxyzyzxxyxxzyyzxzxyzyxxxyxyyxzzyzzxxzyzzxyzyxxyyxxxxzxxzyxxxzxyzxzyzzzzzzxyzzyyxyyyzyxzzzyzyyxzyyxxyyyxxyxxxyyyxxzxyxyxyxxzxzxyzyzyxyxxxxyyxyxyxxxyxyzyyzyyzxzyxxxzxzxzzyyyxxyyxxzxzzyxxxyxzyxyxzzyxxyxxxxzyyyzzxyzxxzxyzyyxyxzxzzyyzzzxzxxxzzyyzxxzyzxzzzxyxxxyxxxxyxyzzzxzyxxyyzxyzyxzzxxzxxxyxzzzxzzyyxzxyzxzzyxyxyxzyzxzyxyzzzzyzyzzxyyyyyxxyzxxxzxzyzxyzxzxyzyzzzxzyzyyyzzyzzxzyxyxyyxzyzzyyyxxxyyyzxyxyyyxxxzxxzxzzyyzyxyzxzyxyxxxzyxxyzyzyxxyzyxyxyxzxxxyyxyzxyyxxyzyxyyzxxxzxxxyzyzzxzyzxzzyzxxyyxyyzzxyyxxxzyzxyyyxyzyxzzzyxxyzxzzyxxzyyxzxzyxxzyzzyzzzzzyyyzyxxxyyxyyyxxzyxyxyxyyzzzyyyzzzxzyzyzxzyzxyyyzyzxxyxxyzzyxyyxyzxxzyxzzzzxyxzzzxxzzyzyxzxxzxyxyzzxyzzxzxxyzzyxyxzxzzxyxzzzyzyyzyzyyyxxzxzxyzxzxxzxxzyzxyzyzxzyzyyxyyxzxyzxzxyxzxxzzyzyzyxyyzzzyyyzxzxxxxxzyxxyyzxzzxyxxxyxzyyxxxxxyyyxzzxxxzzyxzyxyxyzyzzzxxxzxxyyyyyyyzyxzzzyxzxzzzzzxzxyyzxxzyyxxzxxyyxxxyzyzzxxyyxxxxxxzyxzyzzyxyzxyzyyzzyxzzxyxxxyyzyyyxzxxyzyzyxzzxyxyyyyxzzxzzzzyzzyzxyyzzzxyyyzzxyxxyyzzxxyzxxxzzyxxxyxzyyxzxzzxxzyyxxzxxyyxzyxyxyxzxyyzyyyyyzxxxzxxxzzxxzxzyzxxyyxyyyyxyyxxyyyxzzyzxxyyzyyxzxzyyxxyzyxxxyyzzxzxxzzxyxzyzyzyyxxyyxxxzzzzzzyzxyzyxzyzyxzyzzyxzyzyxzyzzxxxzxxyzxzyyxxzzzyzzzxxxxxxyyyzyxzyyzyxyxzyyyxyzxzxyzyyxyxyzzyzyyxzxyxxxxyxxxxzxxzxxyzzyzzyxzxxzxyzyzyxxzxxzzzxyyzyxzxyxzxxyxyzxzxxxyzxyyyyxyxyzxxzzxzzzxxzxzyxzyzxxxzzyzxzxzzxxzzzxyyxxzxyzzxzzyxxzxyyxxxzzxzzzyzxyyxyyyzyyzxyxyyzzzyzxyxxyyyyxyxyyyyxyxyyyzxzyzzzyzxyxyyxzxxzxzyxxxyyxyxxzzxyyyyyzyzzzyzyxxzxzzxxxyxzyyzzxzzzxyxxyxxzzxxzyxxyzzyxzyxzzxxyyyzyxxzxxzxzzxyzxzyxzxxyyxyzzyzyxyxzzyyyzyyxzzyzyxxzyxzxyxzxzyzxxyxzxxzzzyxyyyxyxzyzyzzxxyxyyyzxxxxyyyzxyyxzxxzxxxzzxyyzxyzyzyyzxyxyzxzzxyyzyyzyzzyxxyyxzyyxzzxxxxxzyxyyyzxyyxzxzyxxzxxzyxxxzxxxxxyxxzyxzxxxxxxxyxyxxzzzzxxxzzxzzxzyyzyzyzzxzxxyyyxyyyxzzxxyxyzxyzyzxzyzxzxyzxzxyyxyyxxyxzxxxyyzzzzzzzxzyxyzyxxyzzyxxyyxyzzyxxyyyzzyzzyyyxyyxzyxxxxyyxzxxyxxzxzzzzyxyxxyxyyxxxyyzxxzyzxyxzzxxzxyxxyyyyxxxxxxyxxxyzxzzxxxzxxxyzyyzxxzyxzyzxyzxzzzyzxxzzzxzyxyyyyzxzzxyzzyyyyzxxxyzxxyzyyxxxyzzyzyxyxxzzxyxxzxxyzxxyyzxyyzzyzyzzxxxxyzyyzzyxyyyyxyyxyzxxyxxyyzzyzzzzzyxzyxzxxzzyxyyyxzxyyyyxzyyxzzzyxyxxxzxxyyzyxxyzyzzxyzyyyyzxyzzxxxzyyyzyzzzzzxzzxzzyxxxyzzxyyxzzxyxxxxyyyyyyxyyzyxxxxxzxxzzxyxzzxzzyzyyyzxzyyzyxyzyzyzyyxzxzyxyyxyxxxxzzxxzzxxxyxzyzyxzzzxxyyxxzxxzyxxzxxxxxyzxyxzzxyzyzxyzyxxzxyzzzzyxyzxxzzzyzxyyyyyyzzxyxxzyxzxzyxxzxxxxyyxxzzxxzyyyzzyxyxxzzzxzzyxyyzzyzyzzyyzzyxyzzxxyxyxzzyzzxxxzxzxxyyxxxxzxyzyzzzyxzxxyzyzxxyzyzyzxzxzzyzxyyzzyxxzzzyyyzxxxyxzyxzxyzxxyxxyyxyzzzxzzxyyzzzzyzzyzxxyyxxxxzyyzyxxzyyxyxyyyxzxxzzxzxyzyxxzyyyyyxzzyxyxzzxzyyzyzyxxxzyxxzyyzzzxxzxxxyzzyyzxxxxxzzxxxxyxxzyxyzzzxxyzyzyyxyyzxyzyzyxzyzzyyzxxzyyxzyxxyyyyyyxzxzzyzzyyzyxzxxyzzzyyyyzyzxyyxxzzzxzxzzzxyzxxyyyxyxyyxyyxzyxyzyzzzxyyyyxyyzxyzxyzxzzxxzyzyzxzxyyzzyzyyxxzyzyzzyxyzxxxxyxxxyyxxxzyxyzyxzzxxyzzxzzxyyxyzxyxzyyyyyxxzyyyyxyxzyzyyxxyyzxyzyzxzzzyyyzyzzyyxxzyxyxxzzxxyyzzxyzyyyyxzyxzyxyzyyxyyyyzxxxxyzxxzxxyxyxzxxyzzyzzzxzxxzxzyyyyxzzyyzyzxzxzyyxzzzxzzzzyxyzzzxyxzzxxyzxzyyyyyxyyxyxyzxxyyxzyyzxxzyxzxxzzzxxzxzzyzxyzzxyxxyxzxzyzxzzyzxzyzzzxzyxyzxxxzxyxzyzzyzxyxyxxxzxyzzxzyyyxzyzxzzxyyxyxxxxxxzzyyzxxzzyzxzyzxzzxxyxyzxyyxxyyzzyzxxyxzxyzzxzyxyzzyxxzyyxzyzxyzyzyyyzzxxzyzzyxxxxyzyyxyzzxzyxyzzxxyyyyxxzyzzyzzzzzxzyyzxxyzzyzyzyyxxzxyzyzxxxxyxxzyyzxyxyzxxzyzxyzxyzyzyyxzzxxzxzzzxxzzyzyzyyxyxzxyxzyzzyzxxxyxyzyxyzxxzyxzyxyzxzyyyxzyxxyzyyzyyxzyyyxzzyxyzyyyyyxzyzzzyxxxzzxzzyzxzzyyzyzyxzxzzxyzxxyzzzxyzyzxyzzyxyzyzzyzzyxyxyxxxyyyxxyyxyxxzzzzxzyzzzyxyyzzxxzxyzzxzyxzzxyxyzxxyxzzxzzxxxyyxzxxyzxyxzyzxyyzxxzzxyxxyxxzzyzzyxxyxyyzyzxzzzzyyyxyxyxzxyyyxyyxzyyxxyyzyzzyyxzzyyxzyxzyyzyyxyzyyzyzxyxxxyyxxzyyxxzyzzyzxxxzxxzxxyyyyxyxxxxyyzyyxyxxxzxyxyxzxzyzxyxxxyxxyxzyzxzyzyxzyxxyyxxzyyzyxyyyzzxxxxxxxyxxzxxyyyxxxxxyzxzyzzyzzxxyyxyxzyyxxzzyyxxzxxyzyzxzxxxzzxyxyzyzzzxyxxyzyxxxyyxyzxzxzxyzzyyyxxzyxxxyxxzyyzyxyxxxyxzxxyxxxxxxxxxzyxyzxyzxzzzxzyyzzzzzzxxxyxzxzzzxyzyyyzzxxxxzxxyzxzxxzzxzyyxyzzzxxzxxxxzyxyxzyxzyxzxyyyzzyxxzyzxyzzxzzyxzxyzxzyyyxyyyzzyyyyzzzxxxyzzzzxzzzxxyzxzzzxyzyxyzxzzyzyzzzyzzyxyyxyyzyzxxxxxyzyxyzxzyxyyxxzyyyyyyxyzxyyyzxxzxzzyxyzzyxyzxyyxxyxyyxyxxxxxzzyxxzzyxyyyzzzxxzyzxzyxzxyxyzyxzyxzyyzxyyzzyzzzzxzxyxzxzzxyzxyxxxyzyyzyxzyzzzyyxzxxzzxyyyxyxxxyxxxzyyxxyyyxxxxyyxzyyyzzyzyyzzxyxxxzyxxzyzzxyxyyxzzyzzzxxzxzxzzyzyzyyxxxzzyxzyxzxxzzxyzxyyyzzyyzxxxyyzyzyxxyyxxzzyyxzyzzxyzyyzxxzyzyzxzzyyyzxyxzzyxzxzyyzxxxyyxxxzzxxxzzyzzxxxyyxxyzyxzyyzxxzxzzxzzzyzxyzzzxyxyxxxzxzyxzyzxxyxzzzzyxxxyyyxyyxyxzyzzyzyzyzyyxyyzyxxzxzzzyyzyyyzyxxxxxyzzxyyyxzxzyyxxzzzxzyyzxxxxyyxzzzxyxzyxyxxyxyzyyyxzyxyxzzyzyzzyzyyyxzyzxzyzzxyxxzyzxzzzxxxzxxyyyzyxzzzyyzxxxyyyzzxyyyzzxyxyzyzzyzzxyzzxzzzyyzxyzzxzxyyyzxyyyzyzxxyzyyyzxzxyxxzzyxzzxxzxyzxyzxxxzzyxyzxzyyzyyxzzzzyxzyxyyxzzxxyzxyzyzyxyzxzxzyzxzyxzzxxzyxxzxzyzzyzzyxzxyyyzyzzyyyxxzxyzxzzyxyxxxzxyxxyzxxyxxyzyyyyzxyyzzyzyxzxxxxxzxyzxzzzyyxyxzzxyxzxxxyxyzxyzzyxyzyxxzyxyxzyxzyxzyzyzzzyzyxyyyxyxyxxxzzyzxyyxyyyxxxzxyxzyzzzzzxxxyxzxyzyzzzyyzzxxyyyxyxzxyzyxyyxyyzxyyxxyzyyyxzzxxxyyzxzxxzxxxzxyzxxyzyxzxzxyxxyyzzyxxyxzzxyxxxyxxxxzxzyzzzxxzyxzyzxxyzyxzxzxxzyyyyxxyyxyyzxzzxxyzyzxyyyyzzzxxzyxyxyyzxyzzxzxxxyzxzzyxxzxzyyxyzzyzyzyyyxxzxxyzzyzyzxxzzyzzxyxzyxyzyyxzxxyzzzxxzzxyxzyzyxyyxzzyyzzzyyxzzyzxxxxxxzzyzxyyyzzxxzyxxzzxxzyxxxyyyyxzzyxyzxyyzyyxzxzzxxzyyyxyyzyzyxyxyzzxzxyzyxzxxxxzyzxxyzyyyzyxzxzyxxyyyyyyyxzxzzzyxxzyyyxxyyxzzyxzzxzyxzzxxyzzyyzyxxyxyxzyyxxzzzyxxxxxyyzzzyzxxzzyzzzyxzxzyxxzxyxxyzxyyyzzyzyyyyxzyzxyyzyyyyxyyyxyyxyyzyyyzxxxzzyzzzxxzxyyyzyxzxzyyyyzzxyzzyxxyzxzzxyxzxxxxyyyyzyzxyxzzzzyzxzzzyyzyzxxzyzyzzxzyyzxxxyxyyyzzxzyxzxyzzxxyzxzyzxyyxxxyzxxxzzyxzxyxxxxxzyxxxzyzxyyzxxzxxyyxyxyxyxzxyxyyxxyyxxyxxxzyzyyzzxzxzzyyxyzyyxzxxxxzxxyyxxzxyzxxxyyzyxzyyyxxxzyyyzyxzxxzxyzxyyxyzzxyxxzyzyyzxyxxxzyxzxzyxzyxyzyzxzzyxyyyxxyyxzxzzxxyzzxzyyxyxyyzxxxyxzxzyyyzyxxxxyxzyxyxzzxyzzzyzzyyzxxxzxyyxyxxyyzxzzxyyxxzzzzzxyzxyzyyxxxxxyzyzyxxzxxzzyzyxxzxzxzxyyyyzzzxyzzzxyxxxyyzyxxyxxyxyxxxxyxxyyxyyzyzzxzyxxyzzzzzyzyxyyyzzxzzyzyyyyxzyxyzyzyyzxzxyzyxxyzyxyzxxxxxzyzyyzxyxyzzyzyxxzxzxyzzxxxxzzyzyxyzyzyzxxyyzyzxyxzzzzxzxxxzzzxxzyyyxxyxzxzxyzyyzxzyyxxzxzzyxyyxxzzzyyzzyxyyxzyzzxzyyzzyyzyyyzxzzxxzxxzyzzyzyyxxyyzzyyyxzzyzxzyxxxxxyyxyzyzzyxxyxzyxzzxxyxxxyyzyxyyxyyyxxzzzxxxxxyyzyyyyxyyyzxyzyxzxzyzzxxyyxxyzyxzzzzyzxyxxxyxxyyzxyyyzyxyzyzyzzzxxzzzzzyzxzyzxzxzzyzyyxzxzyzyxyyzxxxxyxzyyyzxxxxzxzyxxxyyzzyzxyzyyyxxzzxzyyxyzxxyxxxxxyxyyxyxyzzyxxxxzzxyxyxyzzzzxzxxyyyzzzyyzxyzxyxzzxzzxxxxzyyyzzyzzzyzyxzzxzyzzzyyxzyxyxzyzzyzyyxxxyyzzyyyzzzzzyyzzxyyxzzyyzyyzxyyxyxzxzyyyxyzyzxzxyzzyxzzxyzyyxzxzxyxxxyxxyyxyyxyzyzzxxyzyyyxyyyxzzzxzyxxyyzxyzyyxyxxzyzxxzzxyzyzxzyyzxyxyxzyyxyyyxxxxyzzyzxyzyxyyxyzxxxyxzxzzzzzzxzzyxxyxxxxzyyxyzxyyzxxxyyzyxyyzyxxzzyyyzyxyzzxxzxxxxxyzxxxzzxyyxyzzyyxxzzxxzxzzxyyzxzzyxzyzyzyxzzzyxzzxzzyxyzyxyyyxzyzzyxxxyzyxyzzyzxzxxzyzzyyxzyyxzxxxzxxxyzxxxxzyyzyxzzxzxxzxxzyxzzzzxyxzxzzxxyzyyzyxxxzyxxxyyxxzxyyzzyzyyzyxzyzxxxxzzxxxyxyyxxzyxyxyyxxzyxxxyzyxyzxzyyyyxxyzyyyxzxzxyxzxzzxxyzzzxxyzxyzyzzyxzyyzyxxxyxzxzyzxzzyzzxyxxyyyyzyzzyzyzzyyzzzyzyyxyxxyxzyyzyyzxxzxyxxzzxzyxxyyyyzzxyyyyzxxzyzxyzxzyzyxzxxyyyzxzyyyzxyyyyzzxzyzzzyxyxzxyxzzzzyyxyxxzxzzxzyyyzzzyxyzyxxxxzzzyyxzzyzxzyyzyzxzzxxyyxxyxzzzzyxzzyyyzyyzxyzyxyxxxyyyyyxxyzxxzxyzzyxyxzzzzzyzzyzyyyxyxyxzzyzxyzyyyyxxyzxyxyzxxxzxxyyzyzxyxxzyxxzzxzxyyxyxyxxzyyzzyxxyxzxzzyxxzxzxyxxyzxzxyyyzxyzzzzzzyxxzxyyxzzzyzxyxxyyxyyyzzxzyxxyzzyxyyxxxxyxyyxxzzzzxzzzyyzyxzyzyyzzzxxxxzzyyyxyzzyyxzyzzzzzxzyzzxyzzzzyxyzxxxzyxzxzzyyxxxzzxzyzxzzyzyxyxzzxzxyzxzzyxzxyzyyzzyyxxzzxyzyyyxxxzyyxzyzzxxzxyyzxyxzxxyzxyxxxyxyyxyyyyyyyxyyyzxxyyxyxzzxyyzyzzyzyyzzzxxzzyyyzzxyxxyxxyxxzxxzxxxyxzzzzzzzyyzyyzyyzzzzzzzzzxyyyzzxxzxxyyxyyzzzxzzzyzzzyxyxzzzxxzxxzyzzxzyxyyxzyxzyzzxyzzyzzxxxzyyxyzxxyzzxxyzyxzxyxzyxxxxxzxyxzyzzzyzxxzzyyxxxzxzzzyxyyyyxzyxzzxyxyzxxzxzxzzyxyxxzyzzyyzxzzzxyyzxyzxxyyyyxyxzzyxxzyyxxzzxzxxxxyyxzxyxzzyxxzyxyzzzzyxzzzyyxyzzxzxxzyzzyxzzzxyxxxzxzzxyxzxyxyxxxxyzxzyzzyzyxyyxxxxzxyyyzyyxyzxzyxzyxyxzzxzyzxxyxyyxxyxyxzxxyzyzyxyyxyxyyzxyxxxzxxxyzxzxxxzyxzyzzzxyzzzyzzyxxxxyzyzxyxyzyyzyzzzxyxyxzxzxyxzyxzzzyxzzyxyxyyzzzzzyyzxzyxxyzyyzzxxyyyzxxzxxxzxxyyxzxxyzyyxyxyxzzxyxzyxxzzzyzzxxxyzxyxzzzxxxzyzxyzzzzxzxzyxzyxzxzxzyxyxzzxyzzxyyzxyyyyzzxzzzzyzzxzxyxyxxzxxzzzyxzyxxxxzxxxxxxyzzyxzzxxxzyyyxxxxxyxzxzxzxzzxxzyxxyzxyyxzyxxyxxzxxyyzzyxyxzyzzzyxzxzyxzxzzzyzyxxxxyzyxyzyzyxyyxyxzxxyzxyzxzzxxxxyxyzzxxzxzzxxxyxxxyxyyxzxyxxzzyzxzzxzzyxyzzyxzzzxxzxyzyyxzyzxyxyxzxzxzxzxyxyxxxyyzxxxzzzzxzxxzyyzzxzyyzyxzyxyxyyxxxxyzxxxzxzyzyyzxzzzyzzyyyxxyxzzxzzxyyxzyyzxzyyyxyyzyxzzzyyxyxyzxyyyzzyxyxxyxzyyxyzyzxxxxzzyyyyyzyxzyxxxyyzyzyzyyxzyxxzyxyzyyxyyxxxyzyyxxxxzyzyxyxyyxzyzxzyxzyxzxyzxxzyzxzxxzxxyyyxzzzzxxyzyzzzyyxxxyyzzyyzyyxzxzzyyzzyyzzzzzzzxyyxyyzzyxxzxyyzxyzzyyxzzxyzyxyyyyxzzyzyyyzyyzyyxyzzzxzyzyyyzxzzyzyxyxyyxzxzzyxxxzyzxxyzzzyzzyzxyzyyzzzxzyzzxzzxyxyxxyxxxyzzxyyxyyxyzxyxyzyzzzxyyyyxzxzyyzyxyzxzzyxzxxyzzzxyxyyzxyxzyxzxzyzyzzxxzzyxxxyyzzzzzyzzyxxzyzyzzyyyxxxyyzxxxyxxzzxxzyyyyxzzxyzyxzzyzyyyyzxxxyzyzyzxzzyxxzyxzyxxyxzxyyzzxyxyzzxyzzzyxxyyxzyyzxzxxyzxyzxzxxxyzyxyyzzxyxxzzyyyxzzzyzzxyxxzzxyyxzzyxyzyxzzyyxyyzyzyxzyyxxzyzxxyyzxzzxyzxxyxxzzzyxyzyzzyxzzxzyxxzzxxxzxzxxyxyxyzyxzyyyxxxxzyxyzzyyxxyzxxxzxxxyyzyzyzyzyyzxxyxyyzzyzyyzxyzxyyyyyzzzyyxzyxxyyxzzxyzyyzzzxxzyzyyyzzzxzxxxxzyzzxzxxyyxyzyzxyxzzyyyxzxyzzxyzzxyxyxyxyxzzzzxzzzzzxzzxyxyyxxyxzyzyzzxyzxxxxzyyyyyxyzxzxxzyyyxxzzyzyxzxzzzyzxzxzyyyxzyyzxxyyxzxzzxyzzzyyyyxzxyzyxyyzyzxzxzxzzzxxyyxyzyxxxzzxyzxxxxyyyzzxyxxxzxyxxzxyyzxyxyyzyzyzzyyzyzzxyzyxyyyyzxyzzyxyyxxyyzyzzzxyzxzzzzxxxyxzxxyzzzzyxyyyxyzxxxzzzzxxyzzyzyyxzyxyyxxxxzyyzyyyxzzxyxxxxxxzyyzxyzyyxyyzzyxzxxzxxzzxxyyyxzxyzxyxxyxxyzzyxzxyyzxyzxzyzxxzxyxxyyzzzyzxxzxzyyyxxyzxzyzxxxyyzzyxyyxzyyxyyyyzyxyyzyyzzxzyxyzxzyzyxyzyzzzxzxyxzzyzzzxzzzzyzzxyxzxxzyzxxyzzzzxyxzyzzxzxyyyzxyxzyzyxyyyyxzyzxxzxzyyzyxyxzzzyxxyxxzzzyyxzyyxxxxyzzxxxxyyzzzyxzzxxzxxyxxxyxyyzyxyxxyxxzyzxxxxyzxzxyxxzzyyxyzxxyxyzyxzzyzzzyyzzzxzyzyzzyzyxxyyyxyxyyxyyyyzzxxzxyzxzzyzzyzzyxxzxzzyxzxzzzzyyxyzyzxxxzzxxzyyxzyyxzzyzxzzyxzzyxzxxyxyzyyyzyyzxyyzzyxxzyyzxxyzyxxzzzzzyzzyxzyzyxyzxxxzzyzxyzxxyxxyzzxxzyxzyzxyzxzyxzzyyyyzxzyxzzzzzxzzxzxzxzyyyzxzxyxyzzzyzyyxxxzzyxzzzzzxzzzxzzzzyyzyxyxzxyzxzxyyxzxxxzyyxxxxyyxzxzxxyyyxzzxzyxxzzyyzxxyyzxyyzxyyxzyzyzxzxyxzyyxyyzxzyyyyyyzyxxyxyyzxzxzzzyyyyyxyyyzyyxyzyzzzzyyxxyxzzzyxxxxyxzzyyzyzzzyyzxxxxzzzzzyzxyzyyxxxyzzxyzyyzzyzxzyyzxzxyxzyzyzxxzxxzzxxzzzzzxzzxyxxzxyzzxxzxxxxzyzxyyzyzxzyxxxxxzzxxzzxyxxyzyxxxzyyxxzzyxzxzxzzyxxyxzyzxzxzxyyzxxzyzyzzzxxzyzzzxyyxyyxxyxyzzzyxzzyzzxyzxxxyyxxyzzxzxyyzyzzyyxyzxzzzzzzzyzzyxzyxxxyyzzyyyzzzzzyxzyyxxzzzyxxxyyxxzxzzzyyzxxyzzxzyxzzxyzyyxyxzxyxzxyxzxzxzyyzyzxyzyzxzyzyxyyyyzyzyzzzzzxyzxzzxxyxxxzxxzyyyyxzxyxzzyyxxxzzyyzxxzyyyyyxyyyxzzyxzxxyzxxxzzzzzzzzzxyzzxyzzzyxyzzzyxyyyyxxzxyyxzzyxxyyzzyzyzyyyzzyzyzzxxxxyxzyxxyzyyyyxyyxxzzzzxzyzxyyzyxzzyyxxyzxyxzyxyyxyzyxzyyyxxzzyzxzxyyxyzyxxyyxyxzyxxxzzyyyyyxxyxzxzxxxxxyzxzyxzxyyyxyxxxzzyxyyyyzxxyyyzyyyyyyxyzyyzzyyyzyxzzxzzyzxzzzzzxyyzxxxyyzxzzzxxxzxzxyyxzzxxzyzxzxyyyzzyyzzzzzzzzxyxyzzxxxzxxyyyzzxzyxyzxzyxzyyxxyxyyzxxyzzzyyxxyyzzxzzzyyxyxyzyzxxxzxxyyyzyzyxxzyyzzxyxxzyzxxyxxyxzyxzyyxzyzxyyzxzyxyzxzxyyzzyzyzzxyzyzxyxyyzzyyzzxxyzzyzxzyxzxyzxzyyzzxzzxxzzxzzyyyzzzxyxzxyyzyyxxyyyxzyzyxyxxzzyzzyzxzyyyyxzxzzxzxzyzyxyxzzxyzzyzxxzzyzxzzyxxyyxxyyzxzyyxxyzzyxxxzyyyzzxzxxzzxyyxxxxzzyyyxxzzxyzxyxxzxyyzzyzxxyyxxzxxxyxyyxxyzzzyxzxxzxyzyxxzyyyxzxyxzzyxyxxyyzzxzzzzyxxyzxxyyxzyxyyyzxxzzyzyyyyyzzzxxyxyzyzxyzzyzyxzxyxxxyyyxyyzxxxxyyyyzxxzxyzzyxyzyyxyzzzzzxzyxzxzyxxzzzyyzzyyyxxxyyzzzxyxzxyxyxyzxzyxyzyxyzzxxxxzyzyxzzyyzyxxzyyxxzxzzyzzzzzyyxzzyxxzzyyyzxzxxzxxyyzyzxxyxyyzyyxzzzxzyxyxxxzzxxxzzxxzyxzyyzyxzzyzxyxzxzxxxzyyxyzyxyzzxzxxxyyyyzxzzzxyyyzyzyxzyzxyzxyxzxyzyzzxzyzzzzxyzzyzyyyyzyxxyxzzxxzyyyxzyxyxzxyzzxxyzyxxxyyyyxxzzxyxxyzyzzxzxzxyzzzzzzyxzxxzxzzyxyzyzyyxxxzxxxyxyyyzzyxyyxyxxyxxzzyzxzxyzzzzxyzzxxxzyyyyxzzxzzyzzyxyxyyzxyyyzyxxyzzzzyyzyzzzxyzyzzzzxxzzxyxzzzzzyzyyxzyxzxxzzxzyxzxxxxyxyzxzyzxzxyzxzzyxyyyzxxxyzzyzzzyxzzxyxyxzzzzzxzxzxzzzyxyzyxxxyzzzyzyyyyyzyyyxzxyyzyzzxzyzxxzzxxzzzyzzxxxxxxxxxzzxzxzxzzyxyxxyzxzyzzxzyzxzzzyzyzxxzxxzyyyyyxzzxyyzxxxzyxxyyyzyzyyzzzyzzzxzzyzxyzzzxyxzxxxzzxzxzzyzzzxzyyyyxzxxzxyxyxxyyzyzxxyxyxyyyxxxyyyyzyzzyzzxzzxzyxxxyzxzyzzxyxzzzyyyzzxxyzyzxxzzyzzyzxzyzxzxxxxzyzxyyyxyzyyxyyxxxxyzxzyzxzyyyyyyyzzyxzzzzxzzyzzyyxxxxxzxyxxzzyyxyxzzxzxyyxyxxyxxzxzxyyzzxyxxyxxzyxzzyzyzzxxzyxyxzxzxyyxxxzyxzyyxxyzxzzxxzzxxyyzyxxzyzyyzxzxyyzzzzyzxyxyzzxyzzxzxxxyyzyxxzyxyyxyxyyxzzyxzxyxxyyzxxyyzzzzyyyyyyzyyxzyxxyzxxxxyyyxxxzxzxyzzzxxxzyyyyzzzxxyzzyyxxxxxxxzyzyxzyxyyxyzxzyxzyzzxxxyyxyyzyxyxxxzyxyzzyyxyzxzzzzzzxzzxzxzyzxzxxyyxyxxxyyxxzzzyyyxyyyyxxzxyyxzxxxyzyxzyxyxxyzyxzzxxyzxzzyzzyxyzxxzxxyyyxxyyzxzxxzyzzxxxyxxxzyyyyxyzzyxyyzzzzzzxzyyxxyzxyzxyzxzyzxzyxxyzzyzzxzzzyzyxyyzzzxzzzxyyxxzzxyxxxxyyzxzxzxzxyzxxzzyzyyxzxxxxxzyxzzxxyyzyxxxyxzzzzzxyzxxyyyyyzzyxzzzyxzxzzyyzxyyxzzyyyyxzxyzzxxzzxzyzzyzxxxyyyzyyzzxyyzxzzxzxyyyxxzzyzzxxxzzzzzxxyxzxxzyzzxxxxxyxxzxxyxyxxzzxyzzxyxyyzzxxzyyyxxyyzzxyxzzxzxyzyzxyyzxxzyzzzyyzxzyyzzyyyxxxxxzyxzyyyyyxyxzzxzyxyyxyyzyxxyzxzyyxxzxxyyyxyzxzxyzzyxxyyyzyzzxzzxzyyyyyyzzyxzxzzyyxzxxxyzyxzyyyxxxzyzzzzzzyxyzzyyxxzxyyxxyzzxyyzzyyyzzxzyyyyzxxyyxyyxyzyzyyxyzzxzyxxzzzxzzyyyzzxyyyxyzyyzxxzxxzxxyzzzxzyxyyzzyxyxzxxyzyxxzzzxyxzxzxzyzxyxxxyxyxxxxyzzyxyxxzzzxzzyyxyzzyxzxxzyyxxxyxyyyxyxzyxzyzyxxyxxzyxxyyyyyyyzxzxxzzyzyyxzyyzzyzxxyxxxxzyyyxyzxxyzzyyxyzyxyyxxyyxzyyyxyzzzzxxxyzxzzxxyzxzyzzyzzyzxzxyyyzxyxxxzxxzyyxxzzzxyzyxzxyxzzxxxxyyxzyzxxxxyzzyzzyyyxyxzxyyxzxzzxyyzxxzzyyxxxzzxyxxyxyzxzyyyzzxxzyxyxyyzxzxyxyzyyzzxzyxzxzzyxzyxzxyxyyxxyyzyzyxzyzzzxyzyzyzzyyyyyyzxzyyyyxzxxxyzyzxzzyxyyyxxzzzxxxxyzyxyxzzxzyyxyyyxxxxzzzzxzyzyzyxyyxzyyyxyyxzzzxxxyzxxxzxyzzzxzyzzzxzzyzyzxxyyxyyxzzzzxxxzyyyyyyzzyxyxyxyzxyyxxyzyyzyzzyyzyyxzzyxxyzzxyzzyxyzxxxzxyzxxyzzyzxzxxyzxzzzyzxxzzyyxyxyxxzxxyyzxzyxzzxyxyzxzxzyzyyzzxyxzxzyzyzyxxyxxzyxxyzzxzxyxxyyxyyzxzzyzxxxyxyxyyyyzxxyzzzxxyxyyxzzzzyzzyyyzxyyzyzyzzxzxyxyxzxyzyyzyyyxzxyzzzyyzyyyzzyzzxyyxxyzzxzxxxyzzzzyyzxxxxyyxyzxyxyxyyyyyxyxzyzxzzzzzxxzxyzxyxyyzyxyxyxxxyzyyzzyzxzyxyxyyzyyxxyxxyyzyzxxyxyzxzzxzyzxyzyxxzyyyxyxzyxzxyyxxzxzxxxxzzzzzzyyyyxzxzyzzxxxzzzyyyyxyzyzyyyxxxyzxxxzzzzxzyxyxxxxzxyxxxxzyyyyyzzxyxxzzzzyyxxyyyzyxzyxzzxxzzyyzxzzyzxyyyxxyxyxzyzxxyyyyzzyzzzxxxzxxyxxyyzxyyyzxyzyzzxzzyzxzxzzxyzxyxzxyxyzzyyzxzxxyyyxxyzzxzzxyxyxzyxzzzyyxzyzzyyzzyzxxyzzzyyyxxzyxxyyyyxzxzyyzxzyxzxxzzyxzxzxyxzxyxzyxyxxyxzyyxyyxyxyxxzyyxzzxxxyyyxxzzzzxyyzzyxzyzyzzxyxyxyyxzxzyyyxyyxxxzzxyzyzzyxxxyzzzyxzxxzxyyxxyzyyyzxxxyzyzxxxyzxzxxxxxzzyxxzyxzyxyyzzxxxxyxzyyzxxyxyzzxzyxyzxyzzyxyyzxxxyxxxxyyyzxxyyxyzzzyzxxxyzxzxzzyxyyzzzxyxyzyyzxxxyzyyyzzxyzzxxzyzyxzxxxzyzzxzzzzzzyzxzxzxzxyxyzyyyzyzxzzxyzxzyyyyxzzxzyzyxzyxzxzyxxzxzzzxzxyyyzxzxzyzyzyzzzyyyyxyxxyyzzzzzyxxyxzxzyxzyyzzxxyzyzzzxzxxyzxyyyyzyxzzxzzxzyyyxyxzzyyzxxzxzyyzzxyxyxyyyzzyyxxyyzxyyzyxxzzyzyzyxyxxyxyxyxyyzzxyxzzxxxxzyxzxyxxxxxxxxzxxxzyyyyyyyzyxyzxyyxxxxxxyzyyyyzyxyxzzzyxxzxyzyxzyyxxxxzzxyyzyzyzxxyyxxyyxzxyzyxxyyyyxyzyzzzxzyzxxzzzyzyxyzxxzxxxzyzxzyxzyxxzyzzzxzxxxyzxxzyzzyzzzyzxxxxxyxxzyyyzxzzxzxxyyyyyxyxxzxyyyyzyxyxyzxzxyxxzyzzzxxxzxxxyzzzzyxyxzyyyxzzyxxxyyyxzyyzxzyxxzyyxxyzyzxxzzyyyzzzzyyyyxxxxxyyzxxzyxxzzxzzxzxxyzxyxyxzxzyxzzyxxyxzxxxzzxyzxyyzyzzxzxxyzzyzxyyzyxxxyyxxxxyyyxyzzyzyxzzyxzxyyzzxyxxzzxyxxyyyyxyzxzxzxyxxyyzzyyyzyxyxyyzxzyxxzzzyzyzxzzzyyzxxxyyxyxzyzxzyzzzxxxyyzzyxyyyzyzzxxzzyyxxzyyyzyxxzzzyyzxxxyzzxzzxzzzyyzzxzzxyyxyxyxyyzyxxyxzxyzxyyxxzzyyxzzzzxyzzxzzzzxzzzyzzzzxxzxyxzyyzxxzxyyzyzxzzzyyxzxxxzzzxxxzyxyyxxyyzyzzyxyyyzyxxzxyyzyyxzzyxxyxyzzxxzzxxxxyxzzzxyyyxxxyyzyzyzyzxxzyyyzzxyyxyxzyzyzyzzxyzzyyxzzzzxzyyxxzyyxzyxxyzzzxyyxxyyzxxxxxyyyyxxyxyzyzxzzzzzxxxyyxyxxzyzxyxxzyzzzxyyyyxyxxyxyzzzyzxzxzyxzzzyyzzxxyxzyzxzxyyyzzzzxxyzyxyzzxyzyxxxxzzxyyzzzxxyyxyxzyxyzyxxxzzzzyxxzzzxzyyxzyyzxzzyyzyxxxxzxyyxxzxxyxzyyxxyxxyzxxyxzyzxzzxzxzxzxyyxzxxzyzyxxxzzyzzyzxyzyzyxzzyxyzyyzzxxyyxyxyyyyyxyyyxxxyzyyzxzyxzzyzyxyxxzzzxxzzyzzzxyxxxxyzyzxyzzyxxyxyzxyzzzyzxyyxyzyzzzxyyxzzzxyyyxzxyyzxyzyzzyxzzyyyzyyzzxzzyzyxzyyzxzzyzzyxxxxzxyxyzyzzzyzzyzxxzzxzyzxyyyyzxzyzyxxzyzzzyxyxyxzyzxyzxzyzxzyxxzyxxzyxzyyxzyyyzyxyyzzzzyzzxxzxzyxxyyyzxxzxzzxyxyyxxxzzzzxxzyyzyzyxyxyxzxzxyyyyxxyyzzzzxxzxyxxzxzxyzyzxxxzzxzxyyyyyzzzyzxyyzzyzyyzxxxyyxxzzzzzzyzzyzzzzyzxyyxxxyzzxzzzxzzxzxxzxzzxxzzzzxzyxxyxzxyxyyxxzxyyyyyxxxxzyxxyyzzyyyzzzyzzzyxyzzxxzyzxxyyyyxyzyxyzxxyzxyyzxyxxyyxzzzxzyxyzxyyzxxzzzyxxyyzyzxxzyzyxxzyyzzyzyzxxyxyxyyxzxxzyyyzyxyyyyxxzzzxzzyzzxxyxxxxxyyzzxxzxzxxzyxzyxyxxxyyxyzzyxxyxyxxzxxxyzxxzyxzxzyzzzyzyyxxxyzzyxxxyyzyxxyxxyyxyzyzzxxzyxyzxyyxzzzzxyzzzzyyyzyxyyzzyxyxzzyxzxzzxzxzzxzxyzxzyzxyzzyzxzzxzyzxyzzzyyzyzxyxzxxyzxyxyzyyyyzyyxzyyxzyxzyxxxxxzxxzzyxzyxyyzyyyyxyyxyyyxxyxyyzzzxyyzxxzzxyyzxxxzyzyxyyxxxyzzyxyyzyyyxzyzxzzxyzxxyyyxxyxyyyzzxzxyxyxzxyxzyzzzzzxyyxyzyzzzzzzxyzyyyxxyxxxyyzxzzzyyxxyxxyxzzzxxyxyyzzxxyyxyyzxxyyzxzxxxxyyyxyzyyxyxzzxzyxyyzzxzzyxzyzyzxxyxzzyzyyyxzzzyzxxyzzyzyyxxxzyzzzzyyxxyxzyxxyzxzxxzxyxyyyxxyzzxyxyzzxzyxxyyzxzxxyyyzxxyzxxxyzyxzyzyzzzxyxyzzzyxxyyzyxyzzyyzzxxzyyzzxxxyzxxxxyyzyyyzzxyzzzzxyxyzyzyyxyzxxzyzxyxxzxyzzyyxyzzyxzzyxxyzyxyzxzyyxyyyxxxzzxyyyxzyyzxxxyyxyxzxzyxxyyxyxzyyyxxzzzyyzxzzzzyxxzyxzxxzyzzyyxxzyyzyxyxyxzyzzyxxzxxyxzxyzyzxzxxyyxzzzyxyzxyyzxyxyxzxxzxyxxxzxzyxxyyyyzyzxzxzyyyyyyxxyxxxyyxzyxzyzxxyzzyyzyzyxyxzyyyyxxxxxzyyxyyyzxxzxzzzyyyxyyzyzyxxzyzzxzzyzzyxzzzzzzzzyxyyyzxyzyzyxzzxzzxyxyzyxzyzyzxyxxzzzzxyzyzxzzyyzzxyxxzyxzyyyyxyyyxxyzzzzzxyzyxxzzxzyxzxyxyxyyzxyzyxyzyzxxyyxyzzzxzzzxyyzzzxyzyzyzzxzzxyyxyyxzxxxxzyzyzxxyzyzxyzxzyyyxxyxyzzxzxxyxxxyyyyyxzzzyyzxxzyzxxxxxyxxzyyxyxxzyxzyxxyxzzxxyyyyzxyyzzxxzxzxzzzxzzyyyyyzzyyxyyyxxxyxxyyxzzxzyyyxyyzzzzxyxyzyzyzzyzxyxxyzyyxzxzxxxyzzxyyzyyxzyxxxxzyzxxzxzxzxzxyzxzxxzxxyzyzyzxzyyzxyyzyxzyxyzzyzzzxzzxzzxxxyxxyzxxzxxzzxxyzyyyxyyyyzzyxxyzxyyyxzxzxyyzxzzzzxyxyxzxyxzyxyzxzxyxxyxyyzyyyyxzxzzxyzxyzyxzzyxxyxxzyxzxyzxyyxyyzyzzxyzzyzxyyyzxzxzyxxxzyxyxxxxzxyyxxyyxyxxyzyzxxzxxxyzyzyyxzzzxzzzxzxzzyxxzyxyzzyxyyyyxxyyyxyxyzyyxzyxyyxxxxyzzxxxxzyyzyxxxxyzzzzxxxxxxzzzyzxzyzyxyyzyzyyyyxzzxxyzyxzzxyzxyxzzzzzyxxyxzzzxzzyzxzzyxyyzyzzzyxxxzyzyzxyxyyyzyzxxzzxxxyyzxyzxzxyyzyzyzzxxzxyxyyxzzyzzyxzxyxxzzzxzyzxxyzxxxzzyxxzzxzxzxzyzxzzyzxzyzzzzyxxxxzyzxzyzyzxyyyxzzyxzxzzyxzzzyzyzyyxyzyxxxxzxyzxzzyxzxzzzxzzzxzzxxxzyxyxxxxyyyzxxzyyxxyyyyzzxyzxzzxzyyzyzzyxxxxxzzzzyzyzzzyxyxyxxyzyxzzxxzzzzxyyyyxyzyyyxxxxxyxzxxzyzyyxzyyyxxyzzzyyxyxxxyxxyzyxzyyyxxyyyzxzzxyxxyzzzyyxzzyxxxzzzxyyxyzzzyzyzzxxzxzyzxyzxyzyyyzyyzyxzyyxzxyyxxxyxxyzxxxyyzyxzxxyxyxxxxyyzzxxxyxyzyxxzxzxzzyzzyzzzyzxzzxzzxzyxyyxxzyyxxxyxyyzyyxxzyxyxyzxyyzyxzxzyzyxxyxzyxxzxzzyxzxzyyyxyzxzyxzyxyyzzyyyzzzxyyxxzyzyyxyzzxyxzyyzyzyxzxyzxxyxzyzxyzyzyzyxxxyyyyxyzzzyzxyxxzzxzzyxzzyyyzzxyyyyzxzzyyyyyyxyxzxxxyyxyyxzxzzzxxyzzxyxyxzyzyzzxxyyzxxxyzzyxxzzxxzyzxzyyzyzzzxzxzxzzyyzyyzyyzzxzxyzyyyxyxxxyzxzxxxzxxzyxzxyyzyyxzzyxxxzxzxyxzyyyzzyxzyxzzxyxxxzxzzyzxzyxzyzxyzyyzxzyyyyyyyzxxyxzxxyyxxxzxxzyzzxzzxyzxzyzyxxyyzxzyzxzxzyyxyyyxzxyyzyxyzxyzzxzzyzxzxzxyxxzzzxxyzxyzyyzyxzyyxxxyyxyxyzyyxxxxzxyyxxzxzxyyyxxzzzxxyyxyyzzyxyzzyxzxzyxxxyzzzyyyzxyyyyyxzxxyzzxxyzzzzxzzzzyzxzxxzxyzyyzzxyzzxxxyxzyzyxxxzxzzxxxyyxyzyyyyzyxyyzyxxyyxyzxxyyzzyzxxzzxyxyyxzxyyyzyxxzzyxyyyyyyzzxyxxzxzzyzzzzxzxyzxyzxyzxzxyyyxyzyyxzzxyyzxyyzxyxzyzxxyxyxxzyzzxxzxxyzxyzzxxyxyzyyyzzxxzyxxyzxzxzxzyyzyxxzzxyyzxyyxyzxzzyyxxzxzzzxyzyxxzzyxyyzzzzxxzxyxxxzxyxxzzxzyxyyzyyzxzxzzzyzzxzyxyyxxxzzyxyxyxxzzxxyxyxzzzyyyzyzyxxzxxzzxzxyzyxxxyxyxxzxyzyzzxxxzyxxyyyzxzyyzyzzyxyyzyzyzyxyyyyxzzzyzxyyyxyxxzzzxzzzxyxxzxxzxxyxxxyxxxxxyyzzyxyyxyyzzzyyzxxxyxxxyyyyzzzyxxyzxxxxzyxzyzzxzyxzzyzyyzyzxxzzyzyzyxxzxzxxxzzxyxzxxxzyyxzyyxxyyxxxxzzxyyzyyzzxxyzyxxzzyyzzyxyzxxxxzzyzzxzyxyyyzzzxzzyzzxyyyxzyyxyxxxzxxzzyxzzzxzyxyyyxyxxxzyyyzzyzyyyxxzzyxzxxyxxyzyzzzyzxzxyzyzyyyyzzxyyyyzzyzyyzzxzzxzxzzzyzxyxyzxxyxyzxyyzzxyzxzzzyyxyxyyxxzzzzzyzzyzzxxzzyxxxzyxyzyzzzxzxxyzyxxyyxzyxyzzzxyxxxyyyyxzxyxxyxxzxxyxxyxzzyxzxyxxzzzyzxxyyzzyyzxzxzyyxzzxyzyyxxzyzxzyxyyxzxzxyyxyzxzyyxzxzxzxyxzxzyxyzyxzzzyyyyyxxyyyxzzxxyxyxyzzyxzzyxyyyzzzxzzxxyyxzzyzyyzxzzyyzyxyyzyxyyzyyzyxyyxxyzxzyzyxyxyzyzyzyyxyzxyxzzzyyyxxxxxyyyyyyxxxxxyzxzzxxxzyzzyyyzzzxyxxzxyzyzzyyyxxyzzyxyzzyxxzzxzxzyxyyyyzyyyyzzxzxxyyyxyzyyzxzxzyxzyzyxxzzyzxzzzxyyxxyzxyyxxxxzyzyxyyxzzyyyzyyyyyzzzyzzzyyzyyzyzyyyxxzyxyxzzyyxxyyyzxzxxyzzyxzyyyxxyyzxzyyyxzzyyxxyxzzyyxzxyzxyzzyzzyzxzzxyzzxyyxxxxzzzyyxzxyzzyxyxyzxyyyyyyzzxyxyyyyxzxxxzxxyyzxyxxzzxyzzyzxxxxxzyxxzyzxyzxyyxyzxyyxxyyyxxyyyxzxxxyzyyyzyxzzzzzxxyzzzyxyxxyxyyyyzyxyxzzyzyzxxxxyxzzyyyyzxzxzzzyyzzxzxyxzxxyyzxxyxxyyzyxxxyxzzzyzxzxzzzzxxzzxzzzxxyyyzyxxxzyxzxyzzzzxxxzyzxzxyzzzxzzyyyxyzxyxyxzzzzyxxxyyzyxzxzyxxzyzyzyyxxxxyzxyyzyxzzxxxyyyyyxxxzyyzyzyzxyxzzyzxxyyzyxyxxxzyyxyxxzyyzzxyyzxxzyxxyyyzyxyzxxxyyzzzzzyxzyyzzzxyxzyyzyzzxxyyyzxxzyxzyyzyzyzzzzzxzyyxxzyyxyzzxyyxxxzyyxzxzyyyxyxzyxzxzxyyxzxzxzxzyxzzxzzxyxyxyyyxzxyzxxzzxyzyzxxyxxxxyzyyxxyyzzxyyxxyzyxxyxyyyyxzzyzxxzxzxxzxyzxzyzyxxxyyyxyzzxzzzyzzzzyzxzzzyzyyzzyxxzyxyxyzxxyyzyyyyxxyxyxyyyyyyzxxzzyxyyxxyzzxxzzxzyyzxyxyyyxxyyxzyyyyxzzyyxyyxzxzzxzzyzzxzyzyxyzyzyyzzzzyyzyzyzzxyzzyyzxyzzzzzzxzyyyyzxxzzzzyxzzyxyxzyxyyxzxzyxyxyyzzzyzyzxyyxxxyzzxzyxzyyxxyyyxzzyxyyzxyxyzxyzzxzxzyyyzxyzzzxzyxzzxxyzxxyxzyyzxxyxyyzzzyzxzyyxzxzxyzxxzzzzzyzzxxxzyxxyyzyyyzyyxyzxxzyxxxxyyzzyxzyzzyxxzyyyzxxyzzzxzxzyyzzyxzyyzzyzzzyyyzzzxyzxyyxyxyzzzyxzzyzyzyyzxzxzxyxyxxzzzxxzyxxzxxzzzyzzxxxzzzyzzzzzxxzyzyyxzxxzzxxyxxyyyyyxxzzxzyxxzxxyxxzzxyzyzxzzxyzyzyxzyzzxzyzyzyxyzzzyxxyxzyyxyzyzyyzzyzzxzyzyxzyxxzyxzzxzxxzzxzxzyyzzzzzzzyyyyxxzyyyxxyzzxyyzzxxxzyzzxxyxyxzxzyxxzzyyxyzyyzzxzyzxyzyyzzxzyzxyxzxzxzyzxyzxxxyxzzxxyxxzyzxxxyyxyzxzzyzzyzyxyxyxyzzyxxyzxxxxzxzzxyyxyyyzyxzxzzxzyyxxzzzxyzyxyxyzzyyyzzxzxzzzzzyzzxyzxxyzzxzxyyzxyyyzxxyyxxzyzxxxzzyxzyxzyyxyyzxyxxxxzxzzxxyzxxyzxyzzyyxxzyzyxzyzzxzyxxxxxyzzxyxzzzzzzyzyxxxxyyyxyzzzyzxyyxzxzxxyxzzxyyyxzzzxyzzxyxyxyyzzyxxyyzyxxxyzyxyyzxxyzyyyyyyxxxzyzyzzxyyzyzzzzzyzxyxzzzyyzzyzyxxxxxzxxyyzzyxzyzxxxxyxzzxyzzxxzyzxyzyyzzzyzzzzyxxxzxxxzyxzxzxxzzyzxyxyxyzzxyyxxzyxxzyyyyxxyxxyzxzxzyxzzxzzzyxzzzyyyzxxxxzxzxzzzxzyxyyyyyyzzxzxyzzyyzzyzyzxyyyxxyzyzzxyxzzxxzyxyxzxzzzxyxyzzxyxxyzyyxyyyxzyzxyxxxyxyxyzyxxzyzyxyzyxzyyzzzzyzyzxxyxzzzxxxyyyzxyzxxzyxzyxzzzzxxyyyzyzxxzyzyzzzxzzzzxzzxzzzxzyxzyyxxzyxxxyxxxyzzzyxxyxzzyxzxxzxxxyyxxyxxxxzzzxzxzxxxyyyzxyzzyzxyzxxyyxxyyzyxzxxzzyyxyyxxzzyxxzzxxyyzyyxyxxyxxxzzyzzzxyyxzxyxyxxzyzzxzyzyzyzxxzyxyyyxzyyxyyxzxyzyyyyyxyxzzzzzzyxxxxzxxyyzxzyyxzzzzyxyyyzyyxxyyyzxyyxzzzzzzxzzyzzxyxyxyzzyyzxxyzyzzyzxxxyxzxxyxxxxxzzzyxzxxxxyxzyyxyxyyzxyyyyxxyyxxxzxyyxyzzzzxxzzzzyzyxyxzxxzxzxyyxxyxzxzzyyxzxyyxzxyzyzyyyxxxyyzxxxzxzxxxxxzxxzyxzzyyxyxxzyzyzxxzxzxzzyxxyyzzzyyyyyxzzyyxzxzxyxxzyyxzxxzxzxzyxyxzzxxyyyzzxxyzxyzzzyyzyyyxxzzxzxxyxyzxxzzxyzxzxxyyzxzxyzxxzzxyyxxzzyyxxzxyyyzzzzxxyzyxzzzzzxzzxyxxzzyzzxyyxzyxyyyxyxyyxxxzxzzyyzyyxxxxzxxyzxxxyxxyxyxxyzxxzyxzzzxzzyyzzzzzyzzzxxzzyyzyxxxxxzxzxxzyyxzzyyyyyzzzzxzzzyxzxzyzyzyzzyzzyxxxzzxzzzyyyxxxyzxxzzyxxxxzzzzxzyxxzzyxyyxyzzzxyzxxxzxzxyyxzyyxxxzxyyyyzxyyzxzxyyyxxxxzyxzzxxzyyyzzzyzzxzyyyzyyxzzyzzxxyyxyxxyxyyzyyxyzyyzzxyxxyxxxzxzxxzyxyyxyzzzyxxxzzxzxxyyyzyyyyyzyxxyxxzxxyyxyyzzzyyzyyzyxyyxyxxzzyyxyzxzyxzxzyzxxyxxxxzyyxxxxxxzxxzyyzzzyyyzyxyyxxzzxzyxzxzzxxxzzyxzxxxzzyxxxyzyzzyyzyyxyyyxzyzzzzyacbaabbacbbcbcabccacabbccbacbcaabbbaccbbcbcabbbcbbbbbccbbbacacaacaaabbbabbcbbacbabababacbaacabccbaacccbacabbacaaabbcbcbaacbbcbcbabccbbccccbbacaabccacaacbabcaabaaaacbbbcaccbaabbabaaccbbbcccccccbaacabaabcabbbbcbcbaaabbabccbbaccaabacccbcaabaccacaaccbcabbcbacabbcabcbacabccaacacccbabcbcbaaabccacbcaaccacbbbacbbbcbaaccbcabcbaacccabcbcaabcacbacacccbccbaacaaaaabbaccbbbacaaacbbaaaccbcbcbaaaacaacccabbcccaccabaabababbabbbbbcbbcacbabccbbacaaaccccabbbabcaacccbcaaacacbccbcbbcaacbbbccabacbccbacccbbaabbaaaccccaccbbcaabbcbccabccccacbaababbabbbbbcbccabbcbbabaabbaaacabccabacbaabbbbcbccbbccabcccbbbbbbabcbbacaacbacbacaaccccbaacabcbacbbbbbabccbccaacacbccbbcaabcaabaaaaacbaacbacbaaabbbbbccbbcabccbbbbcbabaabccccaaabaaaccbbcbbbaaaabbbabcbccacbccbaccabbbaaaaaacbcaabbbcabcbbbcccacabaaaaccbcbbabccbbcabbaabaacbabcacbacbcabccabcacbbaabcbabcaacbccbbbcabaccbacbaacbabcbcbacabcbcaacccbaacbbabbaaccabcaaacaabcbbaabaabbaaccabbcacabcabbaaaaccbaccbaacaabbcabaccbccbbbccbbbbbcccbbbacaccbbaccaababbcabaabbcacccbcbacacaabcbbcbacbabcaccbbbabababacabbbcbcbbccbaacaccababbaabaabbbcaababbbccccaabcccbcaacbccacbbcbcccccacaabaacbbbcbacbbabccabcaabccacacccabbbacaacbabacaaaaababbacbcaccaccbcccbbccbaacaaacabcacbbcccccabbcbacbacccccabccaccaccbbababaacabbcbbacabbacacccccacbbcccccbbbaaabcbbaaccbcaaacccaaacabccbacbaaabbccabcccababccbbbcbbacbcbcacccbcabcbbcaaaacababbcbacacabcbcccacccccacbaabbacbccccabaaccaaabcbbbacabaaababbabbaabcacbbbabbbcabbcabcccacabbabccabaaaacbaabaacabbbabbcabacbbbabbaacccaccbabcacaacaccbacbcacbbaabcbaaacabcccaaaccabcccacbabccbabaaaaacbcccbbcabaacbbcbbbaacbccbbccabaabbcbcabbbcbaaaabbcaaacccbbcaabbbbccccaccbcacbbcbcacabbccacacaacbbccacbcababacbcbbacbcbbbbcbcccabbcbbbababccbcaabcbbcabcbaabacbbbacaccccababcaaabcbbbcccababacbccaacbabbcbabbbabbbcacaabbaabccaacccbccbcbbabcbcbccaccabacabacccabcbcabaaaababcababbcacacbabcacaababcabaacbacccccccabcbcccbcacccacbcacbcacbcaacbbcababbbccbcccaccacbbbbaacbccbcaaacaaabaabccabaaacacbbbaabaaababbbabcccccbccaaccbbacaaabccbacccccacacaacacbbccaccccbabaaaaabacacbcaabaaabbcbccaacabbaaaccbbacbcccbbacbacbbbcccbcbabcbcccaaccabcaaabbbabccaabbaabcaccacbccccbabccccccabbacbabacacccabbabacaabbacacccaccccccbccabccaaccbbbbccbcbcaccbaabcbcaaacccbccaabcaaaaabbabaacabbabbbacbaaacaabcbccbbaccaabacbcbbabccbccbbcbaaaccbabaccabcacbccaaaacaabbbcaaacaabbaabcbccbccbcbbbbabbcccabcbcbccbbcbbaabcbacaabbccacabacbcbbcbacbacaacaccbbaabaaababbcccacbbcaaabacabcaaaaabacbcbaaabbcababaaabababaaaabccacacabbcbcacacbbcbacaacabbcbcbaacccbacaaaabbaaabcbbbabaccaaccabacccccbbbacccccbbcababcacacbbaacbbbccacbaabcccccbcabbbacbbbcacabccbcbacbacccacbccbbacaacaacbcacbacaaacbabbcbbcbaabcabcabacababccccbcacabababbcacaabbcbbcabacbcaacaabaabbcaccbabcbbacabbbcaccbcabccbabcbbacabbabccaaabaabcbbcacabcbacaabaabacabbcabcabccbacabccabbbbcabcaacbabaaaacacaaccacbcabbbbaccacccbccaacabcaaacbcacbbbcaaacbbaabaccabbaacccccbbaccacbabaabcccbbaccaccabbbaccbbcbcbcacccaaababaabbccabbbbabcacbbcabaaccacbcabaacabaaabaaabcbcaccaaacabbbcccbcacaabbcaccbbcabaaabbbccaabaaccacbbbbbccbbbcbcbbbbbcaabcabaccacacbbccccbbacbaaacbcaccabbcabcbcacbbabcbbbababbcbabbababbcbabcbbacaccacaccbbacaacbbccbcbcbbaabcbaabbcbcbbbcbacacabbcabbbcacbcbcacbaaababbbacbcacacaabaaabbbaacbabacbbbabbcbaabbbabbccabbacacbcaccccbaacbcaacacbaaacaabcbccaaacbbbaccccaacbcbccaacccaccabaaaccbaabccbbabacbaaabcaaaaacabccaabccacacacbcabcabccabbababbbaacaaaabbaabbcbcaacbcacbccabaaaaccabbacbabbccbaaabcbbacbacbacbcbcaccccbbabbcaccaababbbaabbacbccbbbbcbbbcaabcccbccaacaaaabcabbbcabcaacbccabcacccabaabaaacbbbaacaaabcbccbbccbababacbabbbaabaccbbbacccccaabcaccaaabbbcbccaaacaabbacbbaababacbbbcbbbbaabcababaaacaabccccbcbbbcabacbcbcbcccacaccacbaabcababbcabcacccbacabacbabccbbbaccbaaaccaaccbaaacbaaacbbccbcbccabccaabccbacbacbbbcabbaacaababcbcccacbabccaaabcbbabababcaabacbccbbbaaccbaabcbbbbccaccbaaacccababcbcaabbbcbabbabcababcabcbcbaccbabcccbaabacbaaaaaacbacbcccacabbaabaabcbacbaaaaccccaccabbaabbcbccacbbcbabaabcbaaabbbbaabcbbcbcacbbbbacabcbccbaaaacbbaccccaaccbccbcccabbcccbaaaccabbababbaaaccaccabbcaccbccbacabbbcacbcabbcabcbacabcacbcaaabcbbbcccacbbaaabcccacbabcabaacaccccccabcabbbabbcbbcbbccaabcbbccbccbbbbbccbabbabcbcaccabcaacbababbcacacabcbbcbccaaabcaabccacaccbbacbbbaacacbbcccbbaacabcbbacccaccccacabcaababcbcbbcacbacbcbbbbbacaaaacaccabcaaacaabbacbcaabbbabbaccbbccbaaabaabcacbacbbaabbccbcabbabaabbccaacbbabcbccbbaabaabbcabbcacaaccccbaccabbacbabacacacaacbcaabccccaacabbcbbcbbacaaccbccabaaabccaacaaabccccbaaacabbacabbbbccacaaaccabaacabaaaaabbaabbabbbabcacaacbababbabbcabbaacabbbcbbcbbcaabcaccaccaaabbbacbcaccacbbcccccabcacbcaccaccabbbcbcbcbaabcabaaacbcaacbaaccccabbabcbcbaaccacccccbbbcacbaaabacccaaabaccabaaccabaaaabcbccacbacbaaccccbabcabaabaaaabaacaaabbcabcbaccacbbcccbaccbabcbcbcccaabccaacbabbabacbaccaccbbccbabacabcbcbcacaabbbbccbcacaabbcaacccbcaaaabaccaaaabbbaaaacababbacbacbbbbbbcaacabbabacbcaabbcbcacbcbcacbaacbcbacbbbbabcacbaaaacccaaaccbabacacabbaabbbbcbcbccabaabbacbabcbbcacbccccaaccabacbccaabbbabbacbbacacbbaccbaabbaabbcbaaccccabaccbbbacbcabcaaabcbacbacaaacbcaaaaababbabaacbabbabbaaccaccbababaaaaaaacaaacbcbacbbcbacbbbccbcababcaabacaabaaccacbcbccbbcbcbaccabcaaccabbababacbaaaacbaabcabccaacabbbababbaabcaabbacaaaccaccabbaaabbcbccbbacaaccccbabbccccbabccaabccaaabcccaaacccbaacacbccaabcaacabbacbccabaacaccbcbabccccabcbabcacbcbbacaabcbaacbabbcbbacbacbbaccbcabbbcbcaacbccaacbacacccbacbbaccbbaaaabcaaaababacccbcbbbbabcccacbccbcbbbaacccccbabbcbcacabbbababbbbbbbcbabcbbabccaabbbbaacabcbbcbbbacbcaaacabaaabbccccabcabbabbcbaacacaacbacbcacaabababbabcbbbbaabaaabbacbbccaabbacbccbaabbcbcaababaaabcacbaccbcabbcabababacabccbbacbabccbaabcbccacbacacabbacabbbabcacbbbccccbbbcbccacbbbccbccbaccccccbbacababbabacccbcccbbcaaccbabcaabbccacbccbaabacbbaaabbacacbcbbaacabbcbacaababcacabbaacacaabbcbaacbcabaaababaacabcbaacabcabbcacacccaaaaacbbbaccacaccbcaaccaaabccaaccaababcbbcbcbbbcbacabcbcbcaaabaaccabaacacabaabcbbbabbacacaaccabccacabbcacbbccbcaaacbaabbabaacaaabbbabaccbabcacbacccabbbcccacaaaccbbaccaaabccabcabaccacbccacbbcbabbaccabbabaccaccbaabbbabbcabaaabcacbcabcaacaccacaababcaccbcaccbcaabcbaacbbbbaacbaaabcabccaacccabccaaabbccabbabacbbaacaabbcacaccacccccbacbbbbcabccbcacbabacaaaacaccccaacaababacbbcbacabcbaabbcabcbabccbaabaacabbacbcccacccccbbbbbbcccacaabaabbcbababbbcbbaacbcbbabbcbacbbabcbcabccbcbacaaccabbbbccacabbbbccaccbbbbcabccaaacbacbbabccbbaacaaabbccaabacaabcbbcbbaaaabcbcbccccababcbababcaabaaabbcacbcbaacacaaabaabacabbcaccacacabaaacbcacbbabaacabbacbaabbaccbaacaacabbacaccabaaaabaaaacbacbaaaacbacacacaabaacbcbbaccbabaaccabbbbbacababbccbcbbbbbbbcbaabacaccbccaacbacbbabbbabccbbbbaccacbabcbcccbbbaaccbbcaacbcbccabcbccbbbbcabbaaacccbcaacbabccaabbcbcaacacabbbcbaabbaabcaaccccacbaaccaaccbcaaabccacccaabacbacbaccababbaabcacbcccbabbbcbccababbacabccaabbbabcbcacaabbcbcaaabbccbbbaaabcacabacbbabcbbccaaacabbbcbaaabcaabccbcbbaababaacbbaccaabacaacbbccbcbaccaaaacaababacaabbacbcababacbaaaccabacaacccabcaccbaccccccabbcbbccacaaaacccbbcbbcacabcccacbccaaaaaabcaaaaacaaaccabaabbabacbbaacbbbbbcaaccbcacbccccccacccccbcbbbcabaaaacbbcbcacabababccccabccaccbacbbaabaabccbcccbccbcbccacbcacccbbcbacbbaaaaccbbcaccbabbcccbcbaabbbbabccbbbbcbabcaabaabcabbaacaaaaabccccbbccbbabaccaabbcabbbbaabbbbbabcbabbbacbbaabcaaacaaabcacaabcbccbbcacbbbbacacabcbcaababcbbcbaacbababbabacabaaaccaabbcccacabacbacbacbbabaacbbaacabccbbcaccbcaabcacbcbbaabbbcbaacacbbbbbcbbcacaacacbabaaabbbacaaaacbacbbabcbcbcacacbaccbcacccccccbcbcaacabaababcacbcbbccbcccbcabcabbacaababcccbabbaacacbaabacaabaabbbacbbcacbcbbaabaccccacaacbcabbaccbabccbbcbcaaacbbcabbbbbabccaacbaabcabbcbbacabcaaccaccbbbaaabcbcabbbbacabbbbbaacbbaaaccacaacccabacaacbbbaccacaacbbbbbacccabbcccbbacaaacbaccccabbbcaacacaaabcbbbbacbccbbbbbabbabacbbabcbbaaababbbacaabbcbbcbabbcacccbbbabaaccccabbabbcaaaaaacccababaaccabbbbbbbbbaaccbabbcbcaccaccaacbcbcacabaacccabacbcabcbcabcccbcabaacbabaaaccaaabaaccbcbbbaacaaabaaaccaabcbcaacaacaccababbabcbaaccccbccacaaaacabbbccacccacbcaccbcacbaacccbacbbaaabcacccabbcaabccacccbccaaacaacaacbbcbcbcbbbbabcbcaabacbbbbccaabacbbccacaaccabcbcabaccbacabcbbbcaaacbacbbccacaabbaccabccbbacbbcbbabbbacbcbcbabccabbcccbcbabcbcaabbbbbcbcbcccbbabbbcbbcbbcccabbbaccbaaacbbbcbabbbcababbbaacabccbbccbbccbcbccabbbaacaacbccbabbaaaccbbacaccbaacccbbaacbcbbabbaaacabbccbbbaccbababbbacaabbaabbaabbaaccabcaccbabbbcaccabaaabcccccacaccbbabacccbabcbbbbcacbabcbcacccbcbacaaabacbbcbacbabcabcbbccbcccccbacbbbcbbbbbbacccbbbaccbaccabccaaabbabacababcbacbbbbbacacbbccccbcccbbaacbbacabccaacaabcccaaacccbbccbcaacbbaabcaccacaaaaabcbbcbbaaaaabccbbbababcabbabccccbccaabcabcacbbaacccbcbbcabbbcbabbacbabaabccbcacbababbabbacabaaacbbbaaccbcaaacbccbbcacabbacababaacacaacbcbacbbbbcbcabaababbabbaacbaabacccbabbaaacbbacccccacbcacccacabaacbccbbcabaabbacbcabccaaaaacbbacbaabcbcacbabcabbabacbbccaacbbcbabbacaacabaabbcacaaacbccabbabaaabcbbaaccccbbcaaacababccaacabbbccbacccabcbabbbbacabcaaaacbcaaabaacabacbbaacbabbaaacaccccaaaccaacacbcbaaabbccabababbccacccbbcacbaacbcbbabaccbabacabacbaaabcbbbbabaacabccabbcabcaabcbbbcccbcbbacaaccbbbbccabbcaabccbacabacaccbbccbcaccaaabbbbcbacccabcabcaaccaaabaabcabbcbccccacaababccccacbacbabaababccaacacbaaabbbbcbcaacaaaccccbabaccacccbbaccacabaccacbbcaaccccccaccbacbccaacaacbacabbaabbcbcbcbbcbacccbcabccbaaccbbcaaabbbccccbbaacaabccccaabaabacccaccbacaacbacbcacbcccacabccaaabaaabbabbcbbccacacbbbcbcccabbcccbaabcccaaccbaacacbbbabaaabacccbaacbbcaabcccbbacaacbccbbaccbacbcabbcacbbcaacaaaababccbbaaabaacccabacabcaabccabcbbcacbcbcbaacbacaccaacccbacbbbaaaacaaacaaacaacacaabbbaabaacacbbbbbabccabaabbacaccbcbbababcbbbbcbcbbacaabbcbccbcaabbbcbcbbbacabbcccaaabbaccbaabaaacbcbbbcccbaaacbaccbcaccbccbababbbbbaccacbaaacbbabaacbcaccabacaccacacabcbacbbbacccaaacaabbcabacaaccbabcbcbbabcbbbbbcacbbabbabbabcbbcbbbabbcbaccbbaaaccaaccbacbcbcbbbbbaabcbbcbbaacbabbbabaacbbaaaaaacabcbbbcacacacccacbccacbaabcbaabbbaccbaaabacbcacaaabccaabccaabaccbcacbcbcbaaaabccacbbbabaabbccbcacaacabacbcaabacccccaabbcaacbabcbacaaaaacccccbbbbacccaacccabaabbacbbacaacbbabbccbaccabcbacbcbacacbcbbbcbbccaaaabcbabccbaccbababccbaacabbbacbabacccaaacbabcabcbabcbbbbbbbcbcbbccbcaabcaccbccabcaacccccbcbbcccbabbcabcaaabbaaabacaaaabacabccbcbcbbaaaaaaacbaacccbbaaccaabbcbcbaaacbbccacbccabcbabbbbbccccbbcccaacbbbcaaccbbcbccacbbababacccccbabbabacbccaabbacbbbcbcbcaabcbbbbbaacbaacccbbbbccbacabbcbccaaaaccbccccbacccbcabcbbacabbbbababacaabacaaccabccaabbaccabcaccbcaabcbbaabbacaaabcabcccaabcbccccbcabbcaaababcacaabbcabcaaaaccbaccccacaabbbbccbbcacaaacbcacaccacbabbcbbccccabcabcacbaababcbaacaacbccbabaaabacacbcbbabcacaacaaabccacbcacbacbacbabccbaababbcbcabbcaaacaabcabbaccbbcacbbccaccacaacbbccabcaacaaaaaacbcbbaacabbcacabbccabaaaabbcbbcaacacbbbbccbbaaccccaabcabbaaccbbbacbbabcbababbbbcccbacaaccabacaaacbccbbbaacbbcbacbcaabcaaaccabaaaccbcccacbacaaacabbaacccabaabccbabaaaabaacaaccbbcacaaaaccababcbccbbcaccacbcabcaaababaaaaccbaacbaccaacbaababbcaccbccabbaccbabcabbcaaababaaccbacbbcbbcacccabbcbbcccccbbcbbabcccbccbaabacbbcacabcaacbabaacaabaabbbbabcccaabbbbbbcbaabcacccbaccbbbccbccbbcbababacbbbacabcbaabccbaaaabbcbabbbbaabcccccccbcccaccaaaccbbacbbaccccaabbacabaacbccabacbcbabaccbcbbabbcbabaaaabbacaccabbcbaabccaacbbbaabcababbcbbcbcbaccacaababaaaacbcacbaaacccaabbbbbacbacaabbbbbaabbcaaccbacacacabcbbcaabbbbacbacccbcabacbaacbcbaccbabacccacbcbacaacbcbaaaaccbacacaababbcabbcaabaccbcbbcbabacbabaaabccacaabcabbcaccbaaaabbccaabcaaaabbbcbbacbccbbacabbaccbaaccbabaacbaacaabaccacbaaaabbbbbabbaccaabacabcbcabbccbcabcbbbbabbcabbbcbbaccaacbcccbccabaccaaacabccabaacbcbbcbbbbaabcccbaabcaaacbbcacacacacabcbccabcacbacbabbbabbbcaaaabcbccbaccccababcbcabacbbbbcaacccccacabbcacbcbbbbbcabaabacaccaacacabbacbacacaabacbabaaccbabbcbcabbbbbcacaccaabbccaabbbccabcacbaaacccbcabcacabbbcccaccaaccaabcaacaaabbccaabccbcbbbcbccccabbccaabaccacbcbabbacacaaabaccbaacbcbaabbcbbaccacacbaaacbbacbcccacbbbbcacacaaaacccbbcbcccbaacbbbaabcabbabacbcbabcaaacbcabaacabccacaaabccabaccccaabcaabccbbaabbbccacbacccaacaccacacbaaabcaaaaccbcbaccccbaaaccbccbbcacabbabcbacacacbbaaaaacccbcbcaaabbbacbabcccbbaababbcabccbabcbbaacaabcbacbbcbacbcaabbbbbacaaacbcbabccbcbacbbacbabbabcabaaabaabbbcaccaaccaacabbccacbbbaaccbacbaacbcabcabcbbabcbabcbaaccabcabcbabbbccccbcacccbbbcbaabbcacababbbbccabaaaacaabbcabaabaaaccbbcabaccabbacbbbcbacaccbaabaccbcabaabbcacacccbabacbcacbaabcaacaaacaabbbcaccaabcabccaabbcbcccbbabccacccbacbabccaababacbcabcbcccbbabccaabacabbbabccbacccccccbabcbcbcbcbaccbcabccbacbbcaaacaacbcaacbacbbbcaccccaacbabcacbcabcacaccbaaaaaaacbaacaaccbacbcaabcaabbcbbcccbccbccacccbbabccbabacacabcbaaacabaaabcbccabcacabcbcbacccabbcaabcbbbbabaabbbbbbcbbccacaabcccbcacccbbcbaaabccaccbbcbbcacacbbacbbbabcaacaaababccacaacbbababbcbabbabbabbbabbbcbabbcbaaabaaacacbacacabbcccabbcbccccbabbbababacccabcbbacbacbcaaaaaabcbbbbccacabcaabcbacbabaccbbbbbbbcbbacaabbaaabccbbcacaababaacaabccbbbcacababaccacaaacbcbabaacbbbbccbaaaacaaacbbcaaccbbccbbaabccabaaaaaaacbccaacbaabaabacacbbbaacbcacababbcbaaaabcaacbcabaacabacbbaacccabccbcbbbbcbabbaaabcacaaacacbccbccbcabcbccbccaacabcabaccbcaacaaaaabccbbbacbbbbbabbaacbacccabacbcbcbaaaaacbabacaaabaacbbbaaccacbabaaacbcbbaabbacacaacbaabcbcbccaccccccbabaabaccbabaacabbacbcacaacaacccbcabacccaaabaabbacbbbaaaabbababcbbbaccbabcbbbbacabccbababbbabbcabaacbabbccbabaaacbbccbccccacbbabacbbaabbccccbcbcacbcaaccabaabcbabbabaaabbbbbbbabbbabaacacbaabcccabcbaacacbcacaabbaccbabacabcbaccbbaabcccbcccbaabbbcbaacacaacbbcbbacccccbbccaabbaccaacacacabccbbbbccaabbacccacaabbccabbabbabccaaccbbccbbbacccaabccaabcacacabcabcccccccbbccacccaaacaabbccacbabaabaaacacbbaacacccabbbbbbbbbcacccccbbcacbaccbbbbaaaccbcaababbccabcbacccbcacbbababcacabbacbbbabcabaabaacaaabbcccbbcbcbbbababbccccbcccccbcababbbbcaabbababbacaaacacabbbbaaaccaacaaabcacabacbcbbbbbabacbacbbccbccbaacccaaaaaabaaccbababbcabbabcccbcbcbcaabbbcbccacabcbbcbbacaabbbabcabccabbabbabcbbcbaacccbabaaaabacabbcbbcabbbacbccbbbacaacbbbbaaaccbbbbabcccbbbaabccbbacccbcbbbbbcccabbababccbcbabbbbccccbbccaaabbccabbaabbbcccccabbaabbbcaacacabcabcccbbaccabbabbbbcbabacccbacaaabacccccaaaaccbababccbbbcbcacccacbbcbcaabbcacacccaccbcacaabaaabbcaccaaacabbccaacbaacbbcacaaaabccaabcbabacababacbcbbabbabbcbbabacccbcbaabaccccabcaabaccabacbcaaacbaabcaccbccbccccbabbcccbccaaabbccacabcbbccaabaababccacaaccacaacccaabcccaccccbabcbbabbabbbcaaaaaacabaccbbabaccbabccbaaacaaacbaccbaaaaaaaccbbcbcbaacacbcaacabaaaaabbcacbaaccaacbababacaaacbcbabaaabbbbcbbccabaccccabbcaacacbaabcbcbbbcbbacabbbcaaabacccbbbbcababcccababcbcaaccbaacccaacabcabcccbbabaacbcbabbbccabbcbcabbcbccababaacbabbaaacaacacabaccabbcbbcacabbccbcbbcabccbaacabaacacacaabccacabaccbacbaababcbcccaabbbcabccabcccaabaaccabaaaaccabcaccbcccaabaccabbccbacaabaacbabbccacbbcaacabcaccbabaccaccaaabcabbaaacacbaabcaacabbcacbbcabacbbccaaabaaaaccabbaaaaacccbabaccabbbbaccccabcacbbcabcbcccbbbbbbbacaaccbaacbaccacbacabcbcbccaccacbbccbacccacbbbbbabbaacbcaabacbbbbaabbacbbccbccababbccccbccacabbbabcaaaaaaaacbcacbccacbaacbbcbacaaabaaabbabbaacabcaccbbcbcacbacaacacabcccbabbabcbbccccccccaabababbbbccbcacbccacbaccccababcbcbcacaaaccbbaccbcbcbbcbccccaabacacabaccbcccccaabcbbbbcbccbcbcccabaaabccbcbaaccaaccbabaabcbcaacacccabaccabbaaaabccbbcbcaccabcbacaabbaccabacbbccbbbbcaabcccacbacbbcbbbbcacaacbaababccbbccabaccbccaaccaabacaacbaacbcacaabcbbcbbbacaacbbbccbabbbccbccabcaaaabbbbacaaaacabacbcabbbcabbacbabaacaaaacabcbabbaacacabbcaaccccaababcbbbbbaaccccacacbaccababacacabacbcabbcacccacbabacaaacbacccbabaaaaacaabaabbaacbabbcbbccbabcbabcccbbbbbabccaaacaabbacbbbccaaabbcbcbabccacacaabcbcbcaccaabbccbcacccbcbbbbbcbabababbbbbacaccaccababcbabaaccbbcccacaabbbcaabacbacbababcaacbabbcccaccacccbbcacaababcccccabbbbbacbbcbcbccbbcaaccabacababcbbbbbcbbbbcabaacaacbbacccaccbacaabbcccaaacbbabccabcbccbbacbabacbcaaaccacbabbbccabbcabccbcbbababaabaacccbccacbbacabcaacabacabbbbcccaccbbaaacaaaaccbabcbaaaaaccbccabaccbcbcbcbbcaaaaababcccbcaacbacbcbcbbccbbbabacacbcaccacaaababaabbcbccccaccacaabccbcbbacabcbbbbacbbbbbbabbacaaabaabaaccabacccacbbbbcbbbcbacaaaaabbabccacacbabbaaabbbbcacccbacbaacbaccacaaaacbbcbbaaacbcaccbbccccbaaabccccabcaacbababccbacacaccbccabbcbabacbcbabbacabaacccbaccaacbaccbbaabbaacccaaaabbcbbacabccbcccbbaacaaaaaacacacbaaabbaabbacbbacccbacbbbcaabacccbacccbbacabaacaccaaccbcccbbacbabbaacabbcbaacacacaacbcccbcbcacaccaabcccabcaccbcbabbcaaabbbacabcbcbbabcccccbbcbcbcbcaababccacabbbcbbbbaabcbcaacabbbabccbcbaaaaacabbbcabcabbcbaacababcabcbaabccabbbccccabacccccabcabcaccacbbcabbcacbaccbaccccaacacccabcbbbacaccccbbabaabbbabbabcabbaabcbccbabcaababbbcabbaaacacbabcaabcacabbcbacaccbbbacabcbbcbbbabcbccbabaccccbabcbccbabcabaabbccaaccbcbaccbaacbccccccbcabaabbabccbbcacabbccbcaacbbbacbaacabacccbccccbbaabcbacaababccbaacaabbababbabcbcbaccbabbccaacbaacbccbcabcbaacbbacbbaabaabacbcbabbaacacbccaababcbcacabcbcccaabcbcbacaaacbbcbcacaccabbbbcccbaacbbaaaacbacbacbbbccaccbcbbcccbaacbbbacbbbabbaacccabcbbcbaabbbccacaacccccbbaccacaababbbcacaaaaccbccccbabbccabaabababbacbcabbbaaabbcbbbabcaabbbaccabcbcaabcababaabcbcaacbabbabbbbbababccbbabbcabbcabaabcccbbbcaacbbcaccbbbbaaaabcbaccbccccacbbcaacbaabbcbcacaababccbbcaabcaaacacbcbbcbbbcbbaabcccbcbcabcaabacbccbbbcaabbcbabcbcaaaabccbaccaccbbbbabaabbbaccccabbcbcbccbcaaccbacbabccbacabbaaccabacbacaacbcabbcaaccbaabacacacbbcaaabbaabaabccaacbbcbbbbbcabbcbbbcabcaccccccbbbbcaccabcabbbabacbbbcbacbbabbbbccabcccbcacabbbbacccbaabbacacababaabacabbcababbabcabaccccacbbacacaaacabbbabbccbacccbbbcaabbabbbaccbacbabbacbabacbbcccbcabcccaabacbaacbbcababcacacbcbbcbbacaaacbbacbccccacaabbcabbbaabacccbbbcbcbbbacbbaabbccbcbabbbacabcbbbacbbaaacabcccccbbcbcbcaaaccaabbacbccbcabababcbcbaaccbbaacbbccacbbcbbacacbaccacbbcabacaabccaccabcbbabbbbabbbbabcccabacbcbcbbccbacabcbcacbcabcabbbaaaababbacaaaaabbccbcbcaabccccacaacbaccbcbbbbbcabaaccaabcbbcbbbbbcacbbbabbabaaaccacaccabbcbbccabbabccccaaaababccbbbcaabbcbbcaccccccbababcbbcabbcabbacbaacccaaccabcacaabccbaabcacacabbbccbcbcabbbabaacaaabbbbacaaacbcbabbcbabacaaaaacabcaccaababccabcccabbcabcabbbcbaabbbbcbcbabbaacacbbccaacaaaaaaaabaaacaabccbbbcbccccccaaabbccacaaccbaacbbbbaabbacbacaaaaaacacbcabacaabaacbabaaabcbbccacbbbacabbaccccacbcbbcbbcaaccaacbcbabcabcaccacbbaccbbcabccaabaaccccbaccbcbaaacbbcbbcabcabacccbbbaaaaabaaabbcabcabbabbbababbabcbbbcbcabbcaabbcbbbcbcbbccacabbccbccaacacbabbbbabbccccbbbacaaccabcaaabbbacababbcaacbbcaabccbabbcabbbcccacabcabacaacaabbbbaabcccabaccaacbbcabbacbababccaaabcccaccbbccbaababbaabbcbcbaccccaabcabbaabacbaababbbbccccaaababaaaacbbbbaaaaacaacabbcbacaabbbacbbabbbcacabaabbbbaaacacbabbaabcbbaaabcabcacaaaababccbbbacbcbaaaaabccccabcaacacccbbbabccbcbacabaabbbbabbbccabacacbcabacbbbaaccaabaababcccabccacbbcbbaaaacbacabbbcabaabaabbababbbacacbbccacabbcccacbabbacacbaacbbccbbcacccabccbbaabccaabcbcaaccbccaaababbbbccababaacabcacaaabacabcccacbabcbbacccabaccabccbacbcbaacbcccccacbacbbcccbcacccabbcccbbaababccabcbbabaabcbcababbabbbcccababbbaacbbbbbabacaacabccccacbacaacbbbcabccacababbaaaacacbaaaacacaaccbcacbabbabbbbccaaccacbabcaacaabababacbbbbbcbbbcaabbcabccbcbcbbccbcbcccabcbbacccbccccbcbcbbcbacacacbcabcbaacabccacabbbbbcbaaacbccaccccbabbbcbbcabaaacababbcccacbabaccaaaccccbaaaacbcbbacbccaacabcbbbcbcbbbbcacabccbcbabacbbcbcaacaacbcabacabbabaccabbcccaabccbccbccaccaaabcbbcccccabaccabcccaabcbabaabbacbcababcaacacbbccbbacababbaabaccaaaacbaaccbbbccabacbabcbabaccaaccacacbcbacbbcbbabababbbbacaabbabaaaabbabbbcccbacbcaacbbbababcaccbbabaccbaccbababbbacbbccabaaccaabcccabcaacbbbbcacbbccabaccabacacaacaabbccacaabcaabbcacababacbbcababcabababcbaaabaabcbbcacccbbaabbbaaacbbbccbbaaaaaccacacbbccbcbabaacacaaccbaaacababbbbcacbaccbaaabababcbabbcbbcbbaacacbcbcabbcacbcaacbacaaccaabcbabcaaabccaaacbabcaaaabbccbbccaaaaabaabcccbbbabbbabcaaccbacaabbccabbbacaaaabcacabccbcaacaacabbcaabbcbabaacccbacccabcccbabbcbaabcabbbacabacaaaacbbcabacbccbcaabaabcabcccabaabaccabaccabcaaaccbbbaacbbcacacacbacbaabbaabbbababcacaaccababcccbbacabbaaacaacaaacabaabaababbcccbcccbababbacaabaabccabbcaabaacbbaabbabbccbabaacbcabbacababcacbbacaacccbcbbcaacbcabaacabaabcbccabacbcbbbaaacbbaabbcccabacabbbbcabbaacbcabcaacaaaccbcbbbacbbbbaaaabbaacbaaccaaacbbcbcbaaccbbcaaccaaabcacccaccacabcaabbacacacccacacaacbacbbcacaacbacbbbabacabccbcaaaccababbcbcaabbaabcabcbbbbcbccabcaabccbacaabbcbbbcacbcaabbcbbbcbbcaabaabcbbacacbcccaccacbcabcccaabcbcacabcbacbcacccccabccaccaabcbbcaaabccbbacaabaacbcbbbbbabbbcbacbccabccaabbccaccbcacbbbbaccbbcaabaacabbaabacaabcbababcbbbbbccabbcbcbaaaabacacccbbcccabccbbccbbbabbbcbbcbbacabaaaccabbbaaacbcccaaabaabaaccbabacacabbbccbcacbbacbcbbbcbbbaccacacbabbcbccabbacacbccbaacbbbabcbaabcabaaaacaaabcccccababbcacccaabbabaccbcccabaababbabbccbbabaabccabbcbbacaccbbbacccccbacacabaccbbabbabaaccbacaabbcacaabbcaabccccabbccaccaccccbabbbbccbcbbccababcbbbaaaacbbcbbcbaacaccbbcabaabbcbccbabcccbaccbcccccbacaacccbbcaacabacbccaababbcccaaaacbccaacbbabbbbbbaccaccaababcbcbcacccaccabcbaacbbcaaacbbbcababccccaccbbbacaacacabcbaaccbbacbcccbacacbbbcbabccaaaacccaacacbacabacaaacaccbcbbacbccaacbabacbcbbbaaabcacabccccaacabbbcbaccaacabcababacaaabcbcbcbbaacaabcbcacccabcccbcbaacacbcbcaccabcacbaaccabcacbaaabcbbaccccbabbabcacacabaccbaccbaaabcbacaababbbbcabbcbaacccbcbcbcccbcbaabbaaacbccbcbabbcccccbbaccccbaabcaaaacaccbbcbbbcabaacacaacbbacacabbbcaaacbacaccbcbacbaaaccabcbaabababbabbcccccaacccaabaaccbaababcbaabcbcabcbaccbacbabbaccbacbccbbbcbaabaacaabacbacbcabacccbcbbaaccccbcbcbcbbabbcbbcbcbbcbabbbcaccaccaaaacbcabcabcccabbaaabbcbbabcbbcbbcbcacccaaaacccaacababaacacccbcacabaaccbccaccbbbcaccaaaaabbbaabcbaaacacacbacbcaababcaaaabbbbabbcbcbbaccaabbabaacbaaaacabcbbcbbacbaaacaabbbccbccacaabaccbacaaabcabccaccbcaaaaccccaabbabccabbcbbbcacbacbcbcabacaacccabbbabacabcbbaaacbbaacabbbaaacaabacabccbbcbabcbaccacbbcccaabcbccabbacacbabaabbbcccaaacccababbaabbbacaabbbacbcaaabcacbcccacbbaabcbccabbabbcccbcbcbcacbbccbbaacaabbabacbaaabbcbbccbcaabcabbccbcacaaaccccccbabcbbbaaaccaacbbacbbbcacccbccaaabaccccaacabacbabbaabaccabcbbabaabacacbaccbbaababbcccacaacbcabcacabaaccacaaabbbcaaabaaacaaabcbaaaacbabbcbaaaccbabcaacccaaccaaacbacbacbaccbacbbcccacbbaaacbcbbabcccccbaaacaacbbbabaacabcaacbbccaabaaabcbbcbbaaabbcbbcabbaaacabcbbcaccacaccaabcbaacbbabcbbacbabaaacaacbaacbcbcacbbbabacabbbccccbabcccaacaaaaaabbccbaacabccccaaccccbcbacacbcccabccbcaabbababbababcaabbbcaccccccbcaccacaacabcacacbbaaaaccccbccaccaaccbbcbbbbabbcaccccbacccbccabbacccabaaabacabbccbcbcabcacacbacabbabcababbbabcbbbbbaccacaabcaaccababaabcaacbacbcaccaabcbabccbbbaabbbcaabcbcbaccabcbbaabbbcacabbacbabcccbababcabaabbbcbacabbcabbbabacaaccabacaacbaacbacbbcbbaaacbcaabcbbcaabaaabcbcabaaaaacaaaaccaacbaabaacbacbcbccbbbbbbcaacacacaaccbabcbcacccbcccbbababbabcaacaaaabcccbbcacbbbbabbcccabcaaccbcbaccacbbbbccbbcacbabbbcaaabacaccbbabbacbaacaabacacbcacbcabbbcaaabaaaabcccbbabccbcbcbcbccaaaacaacaccbaacbcbbccabbbaaccabbbcaccababacbbcbbaccbbbaabacabbbbccbaaccbcabcccacbbbaaaababcabcaccaccaabbaaabaabbbabccaaacbcbbaaabbcaccccaaaccabacccbccbbabbaabccaabcbbabccbaccbbaaccaaccbbcbccbbaabcbccccccbcccaaabababcabbbbbbccbcacccbbcbaabcbbcccccabbccaaaaaacccacbbcaaabbcabacabbbbbacbacbbbccbcccaaabccacccccbaccaacaabcbabaccccaabbbbbacacbbacaababccaabcccbccabacbccccbccaacbbbcbbccabccabaabcbbbcbbcbbcacbaabaacaacbcbccacacbaabcabbabcacacacbabaabbcbaabacacccbaaaccbcacacccbcbbacabbcbbcaaccbbcbaaabcaaabaacacaabaccccbababacccccbccacabccbcaccbacbbabcbaaacccbbcaacbcabcabcbbaaacbbabacbcaccaacccbbaaaabbbaabababccbbccbccbccbbabbabbacabababbbbacaacbccbbbbaaabcaaccbabcaaabaaabaaaaaaaacababcccbbaacbcbaabbbcacabcbcccbccbcccaaacccaaccbbacabaaababbcbabbacacbabcacabbabcbabcaaabacabacccccaabbcccbcaabcccaaabbacbbbaacbcccabbcbbaaabbcbcbcbbbbcbbaccbababaaacaaacbcaccbbbbcabbcabbabaacabaccaabbcaacbabacaccbacaabcaaaaccaccccccacbbcacbbbcbbacccaccacacaacaccbcbbbabaababcacbbaaaacaccababbabccaccbabccbbacccaccaaaabbbbbbcbbaaabcabcabcbbabbaaacbbbbcababaccacbcbccbccccababaccacccabcccaaabbcaaaccccabcbccaacbccabcbcacbabbaacaccaccbbaabcabaccacabacccbbbcbacbbaccccbaacaaabaabcacacbcbababcbbcabcbbcbbacaabcabcacbaabacabababccbcabbbbcacbbcbcbcbcccacccabcccacacabbccabacaacabbcbabcbbabcbcabcabbacbbbbbcacccbaaaaabbaabcbaaabcabbbcaccbbaaabcbccaacbbacccbbbabababbabcabaaabcabaccbcbbbabacbaabbbcbacccbacbabcaabababaacaabbbbaaacababaacababacaaabbaaabcaabcbccaabcacbacccbcaabcabcccaaaaaccbccbcbacacbbcbbbbcacbbbacbacabcacabcaacbbcbbccbaaabccaaccaccbccaabcacbcbaacbaacaacbcaaacaccacbbbabaccbcbabcacbbbacacaabcbbbaaababcabccacbbcaaacabcaabcbacbcacabcaaacbcacaabbcabcbabcbcbaaacacacccbaccbaaccbbcbcaaacaaacbbccbacbacbbcabccbcbaacacababcccababcbaabcacccabaacaaabcacabbcacbbbacccbcabccacabcacbaabaccbacabbbcccbccaacacbcaccbccacacbcbbabaabccbbaabbccaccabbbbababaacabbbcaaababbbbbbbbababbabbccbbbbbbccacbcabbacaaccbacaaacbcacaaabbbbacaaacbccbacbbacccabcaaabbaacaccbbbbbbbaacbbbcbbbccabcccaabbcaabacaaccaacbaacccccbbbabcbbccacacbccbccaacbcacbacccacacbbbbcbabaabbbbcbbaabbbaccccabaccbcaaacbbcccacacababbbbccbbaacbaabacacacaaaabbcaabcbbcbcbaabbababbabcbcabaabbbcabccbcabcabcccbccbbabccacabacbbababababbccbaaaacccabbcbabccbbacbaaabcbbacbcacbbbabacbaacbabcbaacbbcccbbbaabaaacbaabacaacbaabbbaaaaabbabbacbaabcaabbcbbbcbcaabacaaacbcccbbaaabcccbbccacaccabacbacbcabaccbbbbccaabccccacbacaacaacbbabbaaacbbacbccabcbcabbabaacababcabaccbcbbacbabcaabbcccacbbaabcbaccbacbccbbbacabcbabcaccaaabababbbcaabcccaaaacbcbbcbaacabccbccaabcbbaaacaabbbccbccbcccaccccabbbcbbbaabbcbbcbaaaacaaccbabbcbbcbccbbbbaabbabbabcbbabcccbcbbbacababbbacccabbaacaaaaaccbccaaaacbaaccbcabbabacbbabacbbbabbaacbbbbaacbbbabccaccbcaccbcbcbaaccbbcbcaccbaaccbaccabababbaabacccacbbacbaababaabbbabccbbbbccabbaacabaacbbaaacbababaababcbabacbccaaaaaaabbaaaaaabccbbaacbccaccacbccacccabbbababbbacacccbabcacacbbbabbcabacaabaacccabaaccccaacbcaabcabbbbccbabaaccacccbcaccccabbcaccabbbbcbacacacaccbcbabcbcbabccabaccacaabaaaabccacbcacaccccbaccacaacbacbbabbacbabbcaaccabcaaacbbabbaaabaaccccbbbbccaccaaaaaccbcabbccbbbbcccaccccbaacabccbbccaaaacbcabbcbbbaccbabbabccacabcbaaabbaccccccbabbbccaaacbcbbabaacabaaaccabababbccabcabacbcabaabcccacccbbbbbaaabbbbaaaabbabbcbcabbaabbbaacaabacaabacbbcaaabcacbbccbcbcabaccbaababbaccacaabaccaabbacbabcacccaaaccabbccaccbaaaabababbcccabcccababcabacbccbbcacaaccaabcbccbabbbaaacccaccababccabcbabbaaababcaccabbbccaacbcccacacbcbbaaabcabcabbaacccbccbacbababaacacbcbaabaaaabacaccbabcbbccbbbbccbccbabcccbabbabbabcbccbacaccbbbccbbcacbbaaaccabababcaccbbcacabcabcccaabcccccabbacbabcccccccbbaaacbcaaaccbccaaccacccccacacacacbcbcaacbbcbabcbbacacbcbbaacacccacbbcabacbaaabacbbbbcbbababaccbaacbbcbaacbcabbababbbabbcbcbabccbbcbbbabcacbbabcbaccbaccbbcabcbbcbcccccbcaaabbaabaccccbcaccbaabaacbbcbbabccbabcccccccccaaacabccbaabcccbcbbbbaacbaaabaacbacaacbcccccaababaccbbacabbcbacbbbcacababaabcaccbbacacacaacabbbcbbcaacbabaabacacababccbacabaacbcbacacbbccbcbccccbacacababcaccaaaabacbccccbbccbbabcccbababbbbacbbbbabbbacaabacaccbbbbbabcaacbccabbbccbcbbbccccbbaabbbabccacabbccaabbaccabcbbbbbccccabcbaacabbbbacbbbbcbacabccbcacbabccbbaccbacaaaaaaacababbacbbabaccbabacccbaaaacccbcccbcbcccccccbcbcbbbccacaabacbaaacbacacccbbbccbaaccababbcccccbcaaaabbbccbcacbcaacbcbbcababccacbbcbcccbabbacacbcbbabccabcccbcbbacacccbccbbbaaaababbccbacbbbbabbbcabbcbacccaaaaaaabcbbbacaacbcacaacacccbbaaaccbcbaaacbaacaaaaabaaabbaaacbbcbbccaabcacbaaccabcbaacbcaacbaacabcacabaccabcabacbbbaaaccbaabacbaacbacaacacaabcccabbaaaaaabacabccbcaabacacaccabccacbbbabbcccbbbbabacabbcaaaacabcbaaabaaaacbaccbcbacaccacbaabcabaaabacacbacbacabbcbccccbccbacbccbabbbcacacbbbcababccbaacabcaaaababccccbbacaccccacbbbcaaccbaabccccbcabcabbaacabbcacbacbcccccaaacabacbbbbacbbacbacaaccabcacbaacbbaaccbacacaaccaaaacbbbbabacaababbbacbcabccaabcaacbbbaabcacaacbacccacabbaaacbccaacbabcabaabaabccabbbcccbcbbbcbaccbacbcacabccacbbbabaccbcbaaabbbaccabaaccccaaacbacabaaaaaabcabbbbcbccbbacaacbcbbbcaaccccacbbccbcbccbbcabcaaaccbcaabbbaaacabaccbcabaababbacccacabaaaabccccbbbccbbacccbacabcacaccbccbacacbcccaaabcbbcccabbbcabacaacabbbbbcbabbcbbcbaccbbbbaaabbcaccabaacaacabacbaabbcbcbabccbaccaacacbbbacababaaaabbbabbbcaccbbcbbacbcacbccbcaabccacbcbacabbbbbaabccaacbacaaacbbcacbccbbbcbaabbccaaaacbacbcbcaababaccccbbabbacbbbaccbcaaaccaabbacbbabbaaabbbbcbbbcbbccbabaaaaabbcaaaaccacbcbcabbcbbaaccabccccabbaacacbaccaaaacacbbcbbccbabbcbabaaaacccaacacacaababcbccbbbbcbbcabaaacbcabcabbababbcbcbbaabaaaccbcbaccbbcabbabbcbcaaccbabbbcbabcaaacbbaabcacacaacabaacacacccbbcacbabbcbbcbabcbacabbaababcbcaacaabbbbcabbabaabbbabccccccbcaabaabccaabaaacbbcabbbcbacbcaaacbcbbaaaaabcbbbaabbbacbaaabbcbcbcccaccabbabccbcbacbbcccbaacacbcbaacabbcaaccabbcccbbcacacbbccacccbaacbcbaabbacbbaaaaabaacabbbababccaccccabaccababcbaccbbaacbcaabaabaaaabbaabccccbbabacabccbbcbabaabccbabbbabcbacbcbbaabacabaaabccabaaabbbaabbcccaabbacccabbbbcbcabacacaabacbaabacabaaccccbcbacacabcccabcbcaabcacbcbacacccabaacaacbabaccaaaaacbbcccbccbbccaabccbcbccbbacaaacccabbbcaccabcccaaacacccbbcccaaaaababbababaabbbaababaaaaaaababbcccbccacbbbcaacbcbabbaabbbabbcaaaabbcaccccabaccbccacbcacccccbbabbbaabcaccbccaacccbbbbbcbccbabcaacbcbcbabacccbacccccccacacabbaabaaacaccbbcabbaabcbbacbbbcaabcaccababaaccaaccbaacbccacaccccabaaaaccabbabacababbaaabcbaaaacbccabacaababacbbacaaacacbacacbbcaacacabaaabcabbabbcaacababccbcaccbcbcbbccbcaaacaacbbabcaaabbbabaabaaacacbaaccbccbcbababaaccacabccccbbccccbabccbaccccbaaabbcbcbcaabababcbabacaccaacaaaccaacbbbaccbacacacbbbbbbaacccbbabbacaabbbcbaccbbbbbcabbacbbaacaabbbcaaccacbbccbcbbbccbabbcacbccabbcbbcaccaabbbccabaabcaaaaabbbccbbcbabaaacaacbaaaaabaacabcbbcbabbbababcbaaabbaabbbbabacbcbbcbcabbccbacbaccbbbababcababccacbaacbbcacbcacbabbaabccacbcabbbaaaabbacbbaaccabcccacbbcaabbcbccbbcaacbbabbabcbaabbcbcbaaaccbabbacabbcccaaccccbabcbccacbbbaabaacabacaaacacababacbbcaacbcbacbbccacbbacbccbccbbcccabcbbacababcbaacabaabaacbcaccabbacaabbbbcabbcbaacacbbcaacaaccaaaaacbabacabbcabcabcbbcbcccaccabbabbccbacccbacaabcaccbcbcaccaacabacbcbccaabccaababaaabbabacaabccaaabbbaaaaacacabcababbbaaaccbbcabcbbbacccbcaaccbbcaacacccbbbacccccacbcccabccbbacbbcaacaccbbcabbacbaacbcaccaababccaccccaacbbbacbbaaaaacbbaaabccbbbbaacbaaaccbbaabbacbabbacbabababbaccbacbabccabaccaaaabcaaacccaaabcbbcbbbbcacaacacbbbabaacbbcbabbbbccbabbccabbacbacbcabccbccacbbbbbcccccbabccaacbbbabccccaaaaababcbccbbabaabacccaacacacbbccbcacaaaacaacbccaabccccbbaaabacabcbcabbacbaacacaaabcbcabbcccccacbbbacbbccacccbaccbcbcacaacaabcccbaabbaacccaaabacbbbacabbbcaabbcabbacbaccaabcaccccccbccbcaccaabccccbabcababaaabcbabcaaaaaabcbcabaccabababbccbbacabcbaaacbbabbabbabaccaaacabcaccaabacacaaabcbccccaabccacabbbbabccbcbacbacaaabaabcbbccaacabaaaacbabcbacbaababccbabaabbaabbaababaabaaaacaaccabaccacbbbbcbbbaaccbbccbccbbaccbcbcaaacaccacccbacbabacbbaabbbbbaabcacacabcbcbaacababacbcaccabbcccbbaaaabaaccabacaaabaabbcccbbacabbacbbbbcbabbbaaccbccbccaabbcbabcbaccbccbbbcbacccaaaaacbbbacabaacaabbcbbbcaabacabcbacbcbcccaaaabccaabbabcbbccbabbaccccbbbabbbaccbcbccbacbbcababbbcaccbbbbcbbcbbbcbaabaacaaaaccbbbcaacbcbcbabbbcbbababbcbacacccbcbcabacccabababbccabaaaacbbacacabbacabbacaabbbacabaacbaaaccacbcaacbbbacabccacacaacbbbcaacaacbbbcabaaacccbcbbbabbabaabbbbcbcbccaabacbbcccccaaaaaaaaaacbbacbacbbcabbbbbcaaabcacbbabbababbccccabababcbabaccbbbbaacbababababbbacaaccbcabcabaccbbbababcacccbabbcbbcacbbcaacbcccbcccbcaaaaccbaacbababaacacbaaccbbcbbacabccaaacccbbcbbcaacacaababaaaccabbabbcacbbccbcacababbaacbbccaabccbabbbacbccccccbacccababcbccbabbcbbccbcacbababbabbaccccbabbbbabccabbccbaaccaaacbbcacccbbabaaccbcccbacbaaaccccabcacbbccbbbcbcbacaccbbacabbababacbabccbbcacbaacaabbabbbbaacbccbaaababacbaaabccbabbcababbccbabcccbcbcccacaaaaccaacbcbabaccbbcbaabcaaaabcccabbacaaabbacababbbcabbcabacaaabbaccaaacacbbcacaacccaacabaabbbaabbcacaccbbbbbcbbaccbcacabbcbcccabccacaaacbbbccbaccabbacbccbabbccabbaabcbcccbcccbbbabbbcbbcabbabaaccaaccbbbcabcaaaaacacacbabbcbaccbcaacacaaaabcbaccaaabaaacabaaccacabbabaaabbccacbbbacaaacaaabacbacaacbcccacbabcbcabccaaacbaccaabcaaccbbbcacbcaaacbabbcbccbcccababcaaacbccacacacabbbcacbbbabbabccbbbbbaccbaccaccabaaacacaabbcabbccbaabbbcbbbcacabbbcbcbbccbcabacccababaaaabbccacbbaccccbaacabcbababaaababbaaaaaabcaaacbcabaacbbbbccbaabbcbcbbaaabcbbbbaccbcccabcaacacbccacbbaaccbbbcbbbcbabbbbaacabaabcabbaacabcaaacbbabcacccbcabacacbaaccccbacaaccaaabcbacaccbccbcbaccacbaacccabaabbacaabaaabbacaacbcaababbcaaccabaaaaccbaabacbcaccabaacabbacbbcaabcbbcacbacbabaacaacacabbbaaabbcbbcacbcbcbbbaaabbbccaaccbacabbbbcbcccbaabcacaaccccbaccccaabccbaacbbbababaccbcabaacbbcabacbbaaccabcbbaaaabacbbabbbcbcbbccccabcaccbbbcbcacaacaacbbabcbbacbacbbaacccbcaacaacaabcacccbcbcabbaccbcacaaabaccabaaaabacbcbbbcabcabbcaaaccbacbcabcabccbbacccccccbbcbbbbbaacbcacaaabbbacabcaabcbcbcbccbbcabcbbcbccbababacacbbaaccbbaaacacaacbcacbaccccbaccbcaaaaccaaaabababcccabbacccabacabbcbbabccbaacaaccabccabcccccccbbcbbbbacccbaacccacacbacacbacaabcaabaaaaabbacbacbaabaabbacaccabcacccbcbbaccacbbaaccbcacbccababaccbbcbccaacaabcbaabcbbabbcaaaaacbcabbccacabcacabbcaabbbabaccbbbacbbbbacacacbbbccaaaacabbcbbcbabcbcbacaacccbbbbaaccacbcbabbacacacababcbbccbbccabcacccbaacbbacbcaacabacccbabbccabbcbbabbacaaaacacabbaabbbbacacaabacbbcaccabacaacaacbabaabaccabbcbbbabacabcabcaaaccbcaccbcbbbcababbbcabbcbbcbcbabbbcabccacccbcaababbccaccbbacbcacacacaaccaacbbcabbabaaaccbcaaacccbbabbbcccaccbccbccbccaabbaabcabcbacccbbbaacaaccbcbbbbbcccbcabacbccaaabcbcbcacbcbacccabcabbaaccabbcbbbaaabcbaccaabcbacaaababcbabaccababbaacbcccbcabbccacbcbcabccbccbbbbbabcbbbabcbbcaccaaacaccccbabbbbbbcaabbbbccbcbcabbbaacacbbbabccbbaabbbbcabcbccabbbbabaaaaacccaaabaaccbaaaaaabccacabbcbbabcaaccbacacbabaacacaccabacaccccccbcbcabbbcccbcbaabcbacabbbacbcabcbaabbacabcbbabcaacacabaacbcabaccbccbcbabcbccbbaacbcaaccabbabccabbbcbcabbbacacbbacbbcccbcccabcaccacbacbbbabcacabcbcabbabbccbbcbbccabccacbabbbcbcabacccaabaccbbcabbcbbcacbbbabcbbbbcaaaabcbbabcbcaaaaabaaabcbcbbbccccbcbabaababaacccbccaccacbcbbccbccacbbbcabbbcaaccccbacabaacbbbbcaaaccbccaacaccaacabbaaacbcbcbbaccbacccbaaabaccbaaaaabacbcbacbcccbbaabcaabaababbacacaaaaccaababbcabbccaabbcaabbcccacacbacbacaacbbaaabbbaacabaaccaababcccccaaaacbabcbcaccbcabcabbabaccbbbcbcaaabbcabbaccccbacabcaaaabcbcbaacbcaabbabbaacaacabccabcbcababaabccbaabccacccbbabacaccccbaaaccabbbcbcbaccbccbbacccbccabbaaacccaaabcacbabaccccaaacbaaacbcaaaacabcbccabbbacaabcbabcbabccbbaaaaccbcccbacbcbbacbcbbcbbaaccabcabbcbacaacacbbabbbbccbccabacbbbccabbcabbbcaccbcacacbbabacbcacababbbbbacbccacabcabcccacaccabacbabcbcccbbacaacbaccabbccaccaabbbbcacbccabccbbabbabcccbacbcbaacbabbcabbcbcbabccbaacaccaabcaacccabacacaaababcbbbccaccbbcbacbaabaccacacbaabbbcbcabbabbcabacccabaacacccccbacbccbaabbbaacacbcbabbbbacbcbbbaaaaabacbcbabbaacbbacbaabaabbbbacaaaacbcaacacababcbabccabbcaaabbbacccaabacccbcbcaccbbcccababaabbbaccacacbabbcbbbccabbbbbbcbbaccababcbcbbacaabaccbccaababbcaccaacbcbbccbbaaacbacbcaacacbbcbabcacbbcacbbcaccbabcccaabbccbabbbbacabbbcbcbaabacbabbbbbbaabcabcbbccbbaaaccaabacbbacbbcaabababcccaaccabbabcaacbbbcccbacacbacaaacaaacacababaacaacbaaacbbaabcbbbbbabaaccbaabbbccbaabbbccaccaaaaaacaaaccaacabccabacaaaabccacabbbabcaabccbaabcaacbbaacbcbabaacabababccacbbacbcbbbabbaccabcccaacccabcbcacacbbcbcaababbabcacbaabbcbbccaababcacabcabccbcbcaaccbccacbacacaabaaabcaaccccabcabacabaaaaacabcaabbcacbaccbababcacbcbbcccbbcbbbabaabcabcbbbaabcccacbbaacbbbabaaabcaababbbaccaaacbbbacbbaabccabbaaaaaacbbcbcbbccccbbbccbcccaabcbabaabbcbccaaaccbcccbcbbccaccacaacacabaaaabccacbcbacbcbccaaabccababaacbababbcbccbbbbbbbacbacbbbbacbbcacabbccbbcbccbcacbcbcaccacbacaabaaaaacbbcbbaaccabcaaccbbacccbbcbcaabbbcccccbacbcacbabccbacaababbaacaccbabbaabbbbacaccbcbbcccaccabcaaaaaaabacacbccbbaabcbcccccaaccbabcacacbaacbacaaaacaaaaababcabbabccacaaabcccabcbbbacbaccbbcbbbbbcaabbcaabbbcbbaababbabaabbbbccccacbcbcacbcbcacbaabbccccaaaccbbbacaacaacaacaacabcbaccbbaabacaacccbbaabaacbcabcaacbabbcbbcaacacbacaacacbbcbbbbbbaacaccaaaaccaabccccabaccaaccccaabbcbbaacbcccaaccacacbabbcaacaccbbaaacbbcbbcbcbccabccccbcbabbbbcbaabaabccaacbcabbcbcbabbaaaabaaabbccbcbbabbbaccabbbaacacacbcbabcabbbcccbcccabbabbaaabacbaacbbbccacacbacaccbbacbbcabbbcabcbacbbacbabcbcaaaccbaaccbaabacbbbaacaccacacbcbbbbabbcbcbbcbbabaabbbacbabcbcacbbbcbbcaccccacbaabacbabacbbbccbbabbaaabbcabcaabcbcaccabcbcbcabcababccbaaabccbcbacacacaacacccccaabccabcbcbbbbcbababccbbabbacbaabaabcaaacccbcbaaabcababcabbbbaccbcaabcabcaabcabacccccabaacacabbbacbcabcaccaabccbcaaacaabaacbbcabbcbacabbcbcbbbcbcabccacbbbcccabbaaccbccccbccaabcbcccacbaacaacabbabbcbcacbbbcccabaacbcaaccaccabbbaaccacaacacbaabaccacbbbbbccaccccbaabbbcccaaccbcacabacaccccacbcccaaaccbcccabcccbbcbcacaabbbcbaabcbccccacccaccaaaaaabaccbaababbbbababcbbcccaaccaccccccaacccbccaaabccccbaacbcabcbcbacccaabacbbabbaccabbcabaaabcbacabcbbbccaaaaaccaaaacbabbbbabbacbaaccbaacacbbbcbacccbcbcbbbacaccaacbbbacbbaaaabaabbcbaccaabaaacbabbbcabcaacbcacbcbaaccccacbbaaccacaccbbbcbcbcbaaaaacccaacbacaacbacaaabacbacbcbcbbaacabbaccaaaacacbbccbbbacabbaaacbbccbbabbaaaabcbcabaaacbbcbaaaccaccacaacbacaacbbaaccbaabaaccabccccbbcaabcbacaaaaacbcbbbaaaccbaacbababcaabacbababaabbcbbcccabaababaabaacacaababbbcbaabaacccaccabbcacacbabaaaabcbcaaaaabcbbbaccaaaacccbabcbbabbcacccabccbcaccaaacbcccacabcbbcaaabbcbaccaccbbccbabacbcccbacaababcbcbcabbabcbcbacacbbacccbcaccaccabacaacccaccbbccabaaababacbbbaccccbbcaabcbbbbaaccccaaabccbccaacbccbabaaaacabbcaaaabbbcbababccabccbbbbbaccababcbacccccacacbabcbababcbcaacacbcaabbbaaccbbcabacbbaaaaaaabcaacbaaabbaabbabaaaacbbbbbcccaaccacccbaacbabbaabbbacbbcccbbcaaacbccbccbacbbabbaccbbccacbaccbbabcacbcaabbbccababcbcccbbaababacbbbaaacaacabcaaabbaabaaabcbcaabacacbbbbcbccccbababbaacbaaacbcbbbacbabbbbacbccbcbbcbabbaabcabacbbbccababcabcaaaccabbabbbaacccaccaabaaccacbcccacaacbabaccccacbcbcbbcaacbbbabcccacccccbccbbccbbaaabacbbababbbcabbccbacabccbabcabbcacabaabbabcbacabccacbbaccabbabcabacbccbcaccaacacbbbcabcccccbccbabbabbacccbbabcccabbccaaaabbbaaccaccccaacaacaaabacaccabbcbcbaacaacbabacbcacababbccbacbaaaacbaabbcabcbaababcbbbccbcbcacbcaccacabcbccbcaabbcabacccacacaabbbaacbbbcbaabbcaacbaaaabccabccaabaabcbbacacbcabaabacbababaabcacccbbabbcabcbcbccbabcacbbccbacaaaacbcabacacccaabcbacccabcbbbbcbacccbccabbbcabaabaaaaacbbaaacaaabaacbaabacbacccababacbcccaabcbaaacbbbacbaabbbcacaaabbcbbabbaaccaacbcccaaabcbbabccabcbaaaabbacbabcbcbbabaaababbbcbcaaabbaaabbabbbcccbbcbbbcacabaacccaccaacccaccaacccccaacabccacbabcababbacccccbbccbbbaabcacacacbbabccccaaacabacbbababacacbaacaccabaaccabbcccabbbbabaaababccbbabcbacaccacacbbcbacabbbcccacabbaacbcaabaccbccaabcabccbbbccabcabaaabccabcacbaaaccbccabacabcaaacbccbaccbabcbbbbbbbbabacabaacaabaaccbaaacaccbcabbacccbaaabccacbccacabbbbaaaabaccabcbbacbcaaabbbbccacbccabaabbaccbbbbbbcabccbcbacbcbaacbcaaabbcbabaaccabbcabcccabccacbbcbbcccabbbbacccaabcbaccaacacbbaccabbbcbabcbaccabaaabcbcacabbbabcaaaaccbaabbbbbbbaaacaabaacbacccbbacaaccacbabaccbbacbcbcbccabbaacccaaacbbbbbbccacbbabcccbacaaccbcccccccabbbbabcaaaabbccbbbacaababccbbabcbcaaaccabaaabbbacccacbbbcbbccbbacabbaabccbbcbcbbabcaccbabcbbbababbbbcbbaaaaccbbbabacaabbcccaccccbbaaccaabcbbcababbbbaaabcbbcacbaacccbcbcbabacaacbbcacccabcabbcaabcbbbacaabbbacacbabbbbababccbcbabcbaaababacbbbaccabcacbaacaccbcaaaaccbbcbbcaabbbabccabacbaacabaccabcbaacbbbaaccccabacbcaacaababbbacbaaabbababbbaacacacaacaaaccaabbcabaabcabccaccaccbcaabccabcaabbbcbacacbbcbaccbabcabaaaaacbabcbcbaabacabbcbcaacbabaccbbabbccccbaababbbabbcccabbccbbaaacbbccaccaaabccccaaccbbabbbabacbbcbbabbbcbccacaaccccbbabbbabcaccbcaacacccaccbabaabbababbaabcbcaabaccbcaaacaaccabbbbbabcbbacbabbccbaaccabbaccababcabbcbcbaaacacbbccbbcacbcababcbbacbccbbacaabccabaaaccbcccbcbacbbbcacbacbaabacccbbaaabbccbcbababacacacccaacccabacabcabbcbcbbbcacccaabaabbbacacacaabbaacbbbaaabacbbbabcacbbcacaacbbaaccccabbbbacbbabbcbbbbabbabbbcbcccabacabbaccbaabbabbcbbcabcbababacabacabbabcbbabbabacbbaacbaabaaaacacaccbbcbccbbcbcacbbbbacaccacbbbcaabacbcaabcaabbccbccaabbcaccacbccacbccbbccbacacbbbacaccabcacacbbaacbcabaabccaabacaccccbabcaaabacccccaacbabcaabbcbbcbabcbacbcccbaaaabcbacbabccbaaaabaaabcccbbabbabbaaccaabbaaccbcbccbaaabbbabccbaabbcbbaabaacbabcabcaaabbaaabcbabacaabbbaccacccabcbccabcbaabccababccccbaaccaabbaabbaacbbacaacabaacbabbaabaabbbacaccbbabbbaacaccacacbacaccbbccbaacbbabccacbacbcbcabacacbaabccbabccbabcbcabcbababcbbabababaabaabbccccaabaaccccaccbcabbcababccccacbbbcaaccbacccbaacbbbbcccbbcaacbabbbbccccbcccaabbbbbbcbcbbabbcbaccccccaabccbbabcbaaccbacabbaaacbcbaabcbbaacabacbbbcbaaabbbbbbbcccacbcaababacabbcbbabcbccaacccaaccbcabbcbabaabaabbabbaaacbbaaaaccbacccbacccbabcbcbccbcbccbbccbcacbaacccbcacbcbbabaaacaacabbbbbbabbbacacaaacbbcbacaccccbaabccacabbccccbccbccabcabcbbaabccacbbabaabbbbbabbcbaabbbacaaaccaaccaabcacaaaabbccabacccababccabaacbabababbacabcabccaabaaacacabccbbccacabbcaccccacbcbabccaccccabccabbbaccbbbbcbccababcbbbabccbcaaacaaaabccabbcacbbbabcacacccbcaabcbabaabbaaacaaabbbcccaacababcbabcacbcacccabbcaabbcbcbabbaacacbbbcbbaabaabaaccbbcbcbbccaabbbcccccccbcbcabccbabccbbacaaaaaaababacaabbacababcbcacacbbaaccccaccbaacbbcacbcacaacaccbbcaaaaabcbbcacccabcbbcccacacbbcbcbbbbabacccbaacacbabaabbcbcaccbccaabacbacbbbababbbaaaaacacbbcbaabbbbabcbcbaaacccbcacabcababbbbaacacbacaabaaaacccbababbaababbbacbcbbbabccacbbcbabaccbacbbabbccbaccaacccacbaababbaacabccbaacaababbbbbcbcbaacacacababcccbbcbbbabccacccbaaacbbbaaaccabcabaabbbbabaccbbcbaabccbcaccbacbbbabacbaccaaaacbaacbabaabccaaabcacbbabaaababbbabbccccbccbabbccbcbbaaaaacccaaccbabcbaaacccabcbbbabcbccccbcbcaccbbbaababbbbbbcaccbbacabbaaccaababcaaacbcacabacaccbaaaacccbbcabcbbcaacaabbbbacbbbcaacbbbaaabcbbacbabcacccacabbbcacccaaaaababcabbbbbbbabbabccacbbccbcaccccbcbabaabaabaacccaccbccbcaccabccccacbccbccaccababbbaabacababbccacabcbcbaabbaacaabcbabcacaccbaaccaaabbbbcabaacacacabbabaaabaacacaccabbcabaacaaaaccbcbbaccccbababccaaaaaaaacbacccacaacaaabaaaaacacaaacacbcbbcaacbbbcaccccabcbcaccaccabbaabbaacbaaacbbccacabcbccabccbcbccbacbbccacacacacccaccaabcaabcaaacabcbcacaaabababbacacaabcbaaacacbbbbccabaabcabcbabcbacbbbabacbaccabcabbacbbabacaaccbaaacacbaaaacabccccccbaabbbcbbbbcabcbccbbaccbacaacabbbaaacbaacacabcbcbabaacccbcbbabcbcbbcbbcaabaacbcaacaccccaacbaaccbbcbbabbbbbbbaacbaacbabbcbabaacabbcbaaaaaacbabccbaaccaacababaaccaaacaaacaaccbcbaaaabcacabccbacaabacbbbaccaccccabaccabbccbbbaabbcbcbbaccabaacaccbabccccbbcacbbaabbbaacaaaacccabbccbbbaaabcabcacccbbacbbbaaabacbbbcbacbbbacabcabbbbacabbcacabcccbcaacaabaacabcababbaaabbccbcbabaacbcaacbbbcbcbacabbcbcaaccbbcbcaccabacbacbbbabcaaabbbaabcccaccccaabbcacaaaacacbcababaacbcccaabccacaaaabaacacaacbcacbbabcbaaacbabccbbcbbccaacbcbabacbbcacbcbccbaaacccccbabccbacbbcbbbcbaacbcccabbacccabababcacacbccbbcbaccabcbccbbccacbabbbaaacccbabbbacbbbbcbaccbabcccacbacabaabcccbbabccaabcacbaaabbcbbbcabcbaaccbbbaaaabccacaaabcbababbabcbbacccacaabaaabbacacaaaccbbacabccbcabacaababbccacacacccaccacabbcbcabbcabaababcacbbabcbacccababbbcababacbcabcbbaabcccacbabaaaabcacacbccaaabcbccaaacbcaabcabbaccbacabcaabcaccccccaacccaaacccccbaccbccacacacbcaaccbbaaababcabccaaacbabcbcbcaabcababbabcccacacabaabbbcacbbaabcccaabbaaabaabbbacccbcaaaccbbcbccaaaaaccbacbbbcaaabacacaabbcbcacabbbcacaababbcbcbcbbabbcbccacbacccbcbaabccccbcbccaaaaacbcccaaccacabcaababacacbbccbccbbcccaabcaaabcbbccaabcbbbbabbcccbbbcaaacbaacabaaabacbacbbcaacbbccacccabaabbabcaababbabcaaacbabcabbcbaababaccbacaacbcabcccbabaacabccccbccbcaccabbaabbbaaacbbabbbccbbaaabaaaabbcbcaacbcbbaacaacbacaccbbaacaacabccbbbbacbbcbabcabcbaabcacabcaababbcabcaacacbbaccabcbacacbcbaacababbabccababcbaabccaacbccabccacaaacabaaacaacbcabababcbaccaacaccccaababbbbbbacabcccaabbacbabccababacbaaabbbcbacccbbbccaacaaaacacacbacbcabacbbaccaabbacbcaccccaababcbbcbcbbacabbabbbcccbacaacbccbccbabaacaacccbbbccbccbbbccbcabccaabcbcccabcbabcbbaaaabbabcabccabcbacbccacbaabbbbbbbaacaccaaaabaabcaabaabccbacacaaabbcaabcbcabccbababbacaabcccaccaacbbacccacbccbbbacababcaabcbabbbacbcbacabaacbbacaabcaacbabcccccabccacccbacacabbaaabababaabbbccabcbcabcbaabbbccccaaccbcbacababbaaacbbbcccaaabaccbcacaccbcabbaaacbacccbcabaaaabcbbabccabcccbabbabbcbcbcbcacccbccaababbcacbccbabaabaaaaaabbcbaacacccccacccaacaccccbabbccbacbcbbcacabcaabcaacbabbcbbabacbaabcacabacbbcaaacaccbbcbcbaabacaaccaacccaaccaacaacaaabbbcbcabbbcababcacbbbbabbaccccacccabccbcccaacbcbaccaacaabbbabaacacabaccbcacaacbbaaaaaccabcccccaccccabcacccabaaacacbaabbbabcbababbcaaccbbacabbcccccccabcbbabbccbbaccbaababbbbacacccbbcabbccbcbcacbaaabbcbaacaaaacaacaccbbbccaccabcbabcbaaabacacaacccbcccacbbbcbccbbabbababbcbacbcbaacbccbbaaacaaacaaccbabccbbbcbacacaabbbbabaccacaaabcaccabcccabcacbbccccbbababbaaaacbbababcabbacabbbacbccacabacbcbcccaccacbbbbccbcacbbbabbccaaaacabbccbbcbabbcbaaacabbacbbacabbccbabcbababbabcacacbabcccbcbacabcbabccbaccaacbaabbbbcacbcacaacccbbacacacccaabaacaabcaacabacabcacaabcabbbabbbcbccacbbacbbcccabacccbbccbaabcaccbacccbbabbcabaacbaccaaccacbccaabbbbbccaabacbcabcaababcacabbcacabaccabbcacccbcaccaacbcaabbaccccaacacacabccbcaacccaaaaacbacccababcbacbbbaaabccccccabbccacbabbaacbaccccbbccabbabcaaacaacaabbabbcbbabbabbbacbabbbbcaaaccbabaabbaacacacaacbcacbccccbacbcabbabbacacaacbbcbbbccacbbccacbcbcabcaabbbcbcbaccacbacbcbbccaaaabbbacacbbbccccbcccbabbcbcccabcbcbcaabaccbaaaccbabaccaaababbabaccacacabbccabaabbcaabcbcccccbbacbabccacaccccabcccbccacbbaccbbbbcabcaccccbcabaaccbbaccbacaacacbbaabbacbbbcabcaacccbaabcbbcaabaaabcbacacbbbabbaaccbabbacbaccbbcccaaacbabbcbacababcccbccccbbcabacabbbbaabccbccaaaccbacbcbaccabcacbbbaacccbcbbcaaabcbcacbbbcabcabaccbbbaaaccaabccbabcbaacbbcabcaacabcbaacbbabbcabbbbcabcaaabaabcaabcbaccbbbccbaabacbbacccbbbbbcaaaccccbabbaccbcbbbbbaabccbbacbcabbcababacaacbabbbbabcbcabaabacaacbcabbacbbbaababababbcaabbbaacccabbcbbbbbcaccbaacbcacccabcbccbbaabaaccccccaaccbbbbbbbaaaabbbccbccccbababcaccacccbbabbabbacbaaccabcccbbbbbbaaabbbcaaabcccabacbcbbcabbaccbcaacbcbcacbaccbcaaacbaabbbbbabaacabaacbbbaabacccbabcbcbaabcbbabbccccbcccbcaccaacbcccababbacabaacabcbbbaaaccacbbaabbcaacaccabababcabcbbbccaabacaccacbbcababccbbcbbccabbaabacacaccabcaaccacabccacbabbcacaacbbbbbaabbaaabcbaaccbbbabbbbaaaabababcbaabbacabacbccaccbcccacaaacbabacbaccbabbabbbacccaccaabbcbbaabcacbccabbaaaabccacbccabccbbcbbacabcbbcbccaccaccacbcbbbcbcccaaccbcaaacaabccabacbbcaacbabacccbbccbcccbabaccabaabbcbcabbcbcbaccbabcbbacaccabcbccbcbcbbbabaccbbccbcccbcacbcacbcccabcabcbacacbcabcbacaccbcacbbcaccabababccbbcacababbacabbbcacaccabbbbacbccbabbaabaacabaabaaacabbabaacccbaabaccaacbbccbcabaabcbcacbabcabacbaaaabbacccabbacacaaaabaaaccacbbabcabbacaababaaacbbababcbcbcccaabccbbbcabbccacbbccbacacaaaabbccbbbcbbaaccbbbaccbccabbacaacacbbbababcbbaabbbcbbabbbcbabacaaababbcbabcbccaabacccacacacaabcabcbacbbcbabbbcbcbccbcbcabaacbcaabcacbacbacabacbaababcbcccbaccaacabcabcaaaaccabcbabccacaacbbabcaacbaaacbccaacaaccbabacbbaccaabccbabbcbabbbaacaaaccbcbbccccacbabbacbcaaabbcaacabacabacbbbcbcbabcccababaacbbccbcacaaaacabcbcaabcaaccbcccbbacaaabacacacbabcbabaccacbbcaabccbcccbabbaaabcbcababbcaaaabbbcabababccbacbaabcabccccbbcccbaababacbbcbabcaccccaaacaccaaacababaaaaaabccaccaabcababbcabbaaacccacaabbbcaaaabbcabacbabcacbacbaaccaaababccacaaabbccaabcbaacacbbccaabacbacbacaccbbbcccabacacabbabcccbacaabaccbacbaaacccbccbbccccccbacacbaaacacabbcbbbbabbbbcabaabccacccbaacccbccbacaabacabaacaaabbbcccccaacbaabaabaacbcbbabcbcabbcbbcbbbacabacacbabccacbbacbbbaccaaccccababbaababbbcbbbacbbaaababaabacccacccbbacacbccabcbbcccbbabaccabcaccbbacaacbcbaccbababbbaabcacaaccacbaaacabaaabcbcacacbacbccccbaaacacccabababcbbbccccbbabaacabaccccbabacababccbccaacbcbaaaccaaccbcccabbbcbababacbaacaabbbcabccbabbaaaabaaaccabcbcabbbaacccbabaaabccbccccacabccbaabbacbccbbbcaabbacccccccbbbacbabacacbbacccabcacccbcbacacabacccccbccbaaaaabaacbbabaabcbbcacbacbbabcabcaaaccbbbbbbaccbcabbcaababbaccaaccaaaabbbcaacaccbbbccbcacccabcacccabbaacbcaacaccbbacbcaabbcbcabcbbabcbbcbabbabbcbbaababbbbacabbbcbbbbaacccbbccbcbbccabbacbbcacaabcacacabcbbbcbaccabaaabcccccaccaaaabbbcbbccaabbbccaaaabbcbacbcbcbaaaaccbbcabcbcababacabaaaaabbabbccaaaaaabaaabcabcaaabccabccbbaacaaabbaaacabcabcbbcccccbaabccccccabaacbccacbaaaaccabababbccaabaabbacaacccacbbaaaccaabcaababbbcaabcaccbccbccacabcbabcbabaacccaabbbbcaccacabbaabbbbbabacbcaaaacaabcbcbbabbccaaabbbbbcbbcbaaaaaaacbacbbacbaacbbbbbcaabaccbcbaaccababccaabacaccbacabaaccacbcababbaabaabcccbbacbacbbbacacbcaabacbabbacbcbcababcabccbabcccaaaacbbabbccbbaaabaaaaabaabacaccbaaabcabcaaabcabcbcbcacbcbbccaaabbcaaabaaabbabbbcbcabacccacbcacccbbcbbbaacbccbaccbbacaabbbcabbbabacccccaaaabaabbcbcabacbacbbacabaacccbcbaabbabbbbacbacbacccacbaacbaabbbbbcbcbacacabbbcbbbbccbabcabacabccbbcaabbbbcacbabcabbaaaacaacbcbabbcbccabbbbbbbcccacaabbacaccccaacccbcccaccccccbabcacacaabcbabbaaabbcccccababbbbcacbacabcbcacaaabbacabbbacbcbbbaccbbccbcabbaccbaacccacccbacbccbbbbacccaacabccabbabccbacbabbcbabcccbbcaccacaabacbabaaaaccaaaccccabaaabbccabaaabbacbcbbbaacaccbcbbaaacaaaccccbbcbcbbcbbacbaccbbabaabbacacbabaaabacbccccbcbcbababccbcabbaaacaaabacacbccbcacaaaabaccbcbbabcbabbccbbbacbbabcbabcabaabccbbabbbcbcbcacababbcaacbbabbcccbaaabcbbcbcbcacbcbcaabcabcccbabbccbccbcbcacabbccaacabaabcacbbabbaaccacbcabcbabbcbbbacbacaacbabbbbcacbbcabcbaaacbcabaaababcbbcabacbcacbbacbbbabbcaccbccbaaabbabacabbcabcbaacbbbccaabccccabccacacccacbbbacbbabbccacaaacbbcababccbbbcaaabacbaccaaabbcbbccaaaaaacccabaaaaaacbcabbcaaaccabcbbbaacacaccacaabcacacbabbcbcaacaaccbbcbaabacbabbbcacabbbabcaabcbbccaacacbbbbcbcaccaabcabbcccaaaabcbbaacccaacbabbaccbcacbacccbaabcacacabbbbbbcacabcbccbbaaacccabacacaabcbacabbcaabcbaccbcccaccaaaaacaababbbaacabaccbabbbaaaccccaaacaccacaaabcbbacccbcbbaaaaacbbccaaaccacabbccabacbbabcbcbccaacacbcbacacabcbcbbbaabaabaccaababaccbbccbcbcaacccaacccbccbabccbaabacaccacbbbcabbcacbbcaabbababbbbacbaacbcbacaccccbacbbcabccbbbcbcaabccbabcbaacbcbbaccbaabbbbcabcccabcbaabbccaabbacabacbbaabbaacbbbacbbbcbbcbcababcabcaacabcbabcabaabbaacbaaaabaacabcbabbaccccbabcaaacbcacbababcbaacbaabcbaccaabaabaacbbcabccbccbbccabbbabbbcbccaaacbcccabaaaaaabbaabcbccbbccbbccbccbbcacacbbcabcaaabbaacababbcbcaaccbabcccbaacbaabcbccababcbabccccbbcacaacccabacbabaabacaccaabacaaacbccbcbcaaacabacacccacbcababccabccbbccbacbbcbcaacacacaacbbaabbbcbacabaacbabcbacbbcacaaacccbbaacababcabaccbaaacbabbcbcbacabbbabbaacabcbacccaaaabbcabaacbabbcabaccaacbbbbbbacacaaccabcbbbabaabbcaaaacaabbcccbababbbacbaabbcabbcacbccbaabaaabcbbacbbbbcbbbbbabcbaaabbacacbcbcaabcaababcbcbbaacaccacbcbacbbccaabbcbabaaabcbbaacabbacabaabbccccbcaacbccacbacacabbaaccbcccacccbccabbaaabcaabaaabbcbccbbaabcccccaacccbacccabcabbabcbccaccbbabababcabccabaccbbabaacbccbbaccbaccabcbbbaccababaabaacacabacacaabcbcbbbaabbaccbbbabcbcabbabcccaccbbbbacabcccacccabccbbaabcaaccbacbcbaaacbccbabacccaaabbacaaccbccbbcaccbcccbcbbccacbcabaccbcbcbbaacaaaaaabbccabbaccccacbcbaabacaaccaaaccbccaaababbbaccbbaaababcaccaabacabcabcacabcabbbcaabcbbbcabcaabcabbcacbbabaacbaaabccaaaccabcbcabbcbccbbbabacaacbaaabccccccababbcccbccbbccacccabbaaccbccbaababababbaabcabaababbcbbbacababaccaaacccaabaaccaaccccabaaabcbabaabaaacccaacabbcbaccaccbbbccbcbcaabbababaaacabccaaabbaaccaacbabaccccbbbbababbcbbaccaaabaacaaaabbbccaccacbbcbcccabaacbcacaabccaacabaaacbbabcbabbbbbbbaaacacbcaccccbcacaaababbccaacbaacaccaccbbcaabacabccccbcbbccabaabbbcbcccaaacaacbccbbccbabacbcaabbabbabaacccbababacaabaacabcabbbabbacbacaaaacbbcccaacabbbbcaaccbaaccaacacabcabcbcabbbbcbbbcbaabbcbcccbbaababbbbabbabacbbbcacbccabbaaabbcbaacaaccbbaacbccbbaacccccbcbbbaaabbbcbcbbcccccacbabcacaababbcabcaaabcabcaccbbcccbbcccabcbbabaabbbbcbbacaacbbcbbacbbccacbbabbaabbabaccacbcaccbaccacabbbcabbbaccccaabcaaabaaccbcbbbcacbabcaaccbbaabaaabacbbcaabbabbabbcabbacbbbcbcbaaaabaaccacaacacbcbcaaaabccabababaaabacabaabbcccbcaccacbcabccccaabbababaccbccbbcbbccbaabaccbbccacacacacacaacaabcccccabaacabaababaabbbbbacccaccaabaaacaaaaabcccbaabaabcccacbbbacccbbbbbbabbbabbabcacabbaacccaccbaccaccaacbabcbaacaabbcbbbcacbacbcababbbabbbbabcacbbabcaabbcacbbcbbcccbcababbcbbabccaabbacaccbccacabbacbaacbcccaaabaabcbacabbaacbcaacccbbbababccbcababcbbaccacccaaaabbbaabccababbcbcababbaccaacbcaacbaccbccacabaaaabacaabcbcacbcaacaaabaabbbaaccbbccbbaacbbccabacbcbacbcababaabaccbabbbcbaabaabbbbaacbcaccbcbbcbbabaaacbbaabccbcabbacbaababcbccababababcbcbbcccabcbacabcabaccbcbbbcbccacaaabccaccbbaaaccccabababcbbbbbcbcbbbccbcabbbbcaabbcabcbbbaaababaabbabacbaccacbbcbcccbcacaabbbabcccbbcbaacbacccbbaacaabaaccbcabcaacccbbaaaaccbcabcabbbbbabccaccbaaacbbabcccbabbccbcbbcccbcaababacccbabcbbbcaabcaacaababbaaaabaacbacacbcccabbcaabcabbabbcacabbbcbbcaaacbacbbcbcbacaabbcaabbbcaaccabbbabaacacabaaaacaabcbbcbacaacbaaacbccbcbcbbbcabbbbabaabcacccaacaaaaaacacbbcaaacaacbabaaabbccbabbabbbbcccbaaccabaacabbcbccbccccbccbbaccccabaabccaabcabbcaacaccbcacccaaabaacccccbbacbbcbabacbcbcbbaabbcbaaaacaacaaaabaaabacabbaccccbcabcccaabccbbcbabcabcbcbbccbcbbbacbbbbbabbcaaccbbabcaacbabbcaabbccabbbcbaaccacccaaacccbcabccbabbaacccbcbccacaaabccacbacccccbcacbcabababbcabcabbbbcbacaccccbaccbacccaabbabbaaabcacacbabcbcccbcccacacbbcbcacbbabacabbbbbccbabcbaabbcababcaaabaccaacbbcbcbbbbaacaacaacccaccaaabbcacabaacaacabcabbacccbbbbcbcabcaacabbacbccbcbaabcbaababcbbaabbcbabcaacbccacabccbaccbaacbcbcbbaacbabaccaaabaccbaacbabbbbacaccaabbccaabcbcbabcabccccbcbbcaaaacbcbccbacacacccacbcacbabbcaacacbccbbccbaabcccbbaabacccbaabbbcbbcbbbbbcabcccbaacbccbbbccabccbbacaccacbabcbcacbbaacacaaabcabbbcabaaccaabcbaabacaacbbbacbbacacccbccbaaabaaaccbaaaaaccccabacabaacbaacbccacacccbbcccababaccbacaabcbcbcbbcbbacbcbcbcccbccacbbcabbcbbbcaaacbcbacbcbcbcacaaacabbbcccbbaccccccaabccbcbcbbbaabcaabbcccacccaabcbacccbbcccaabcbcccccccccbccabbbbbbaccbcaaccbcaabacbaccbabbabcbaabbbcacabccbbcbaaaccaaaaabbabcbbcbbcccabbabbbbccbcabaabbaaaaccccaabbbacacbaacbbaacbbcccbbababccbaaaabbbabbaaabccbcaacbaaccabbbcacbcbccbcaccbbbccbcacccccbabbbaaaaaaacaaabbbbaacacbaaaabbbbacbbbbaabcbaabcbbabaccabcaacbacbbabaaabbacbcbccacbabcacaccbbbbcccabacccacbaccacbbaaaacbacbabacbcbaccccbabcccbacacaabababcbcbcabccabcabaccaaabaabcbbcaaaccacbacacaaaaacabaaaabcbbbbbacccaaabbccabacbbabbbbbabaaacaccccbcacaacaabccacccbbcccacbbccaacacabaacbcbbbbcaaabccabacbaccaccaacabcccacabcbaabacbaaccacbaabaaaababaacbaccabcbcacabcaabbbaabaaabbbabbbbaacabaacbcacaaabccabccbbbacbcbcbbbabacbccaaabcacccacaaacabaabaabaacccaabcaaaccccaccbacabaabcccccabbcacaccaccabcbaabbaabbaacabbaacaccbcbabaaaabbcabababaacaccbaabcbbcbaaabbaababaabbbcacabaacbbaccaaabbaaabbbaaabaabccbabccbbbacabbcccbbbccabacbbacbcaaaacaaaacbabbabcacaabaaaacaabcbaabaccbbabcaaabcccaabaccacbcbbcbabbcbcccbabaaacbcbbbaccccaaababaccacbbaabaabbaabaccacccbbaaacbbcabcbabacacbabbcaabbbbbcbbbaccbbbcbcabaabaaacbacbaacabbaaacbaabacbbbcbabaabacacbacaabcaabbacacccaacbbababaacabcbcbccbbbbaccccbbcbbbaccaaabbcaacacabcabaabbacbacbbaaaaaccbcaacabaabbacacbbabaacabcaaccccaaaaaabbbaabaccbbcabcccbbccbaabaacbcbbbaccaabbbacbcabbaaccccacabbacbcbcbbabcaccbcaccaababaccacbcaacabaccbabbaabbcbabacccacacbcbaabcabbabbabbccbcbccbbbacaacccacaabbbabbbbbcbcacccbabbabbccabbbcbbcacaacaabcaccbaabcaabcbcbbbcccbbcbaccabbcaacacbabcababaccbbcacccbbcbcabacbbbbcbcbbaaccbaaccbacacaacccbaaccaababaacacbcbacabbbaaacababbabbbcbcbbcbababcaabcaaccbbbbccaaaabaacccabaabcbbccbbabcabbbaaacabababcbbcbcabaccccbcbacbbbacccbbcbbacbbabbbcacbaaccbacacbbabbaabbcabcabacbaccbbbbcbabbbbaabbbcaaccaabcbabccbbcbacccbabccacbacaacababbbbbabccaaabbcbaccaabbaabaccbccbcacbbbbbbabbacbcabaabbbaaaaabcbabaacaaaabacbbbbcbbbabacaabcccccbbbabbcbaaabbbccccaccbbcaaababcbbcbaccbccaaacaabbabacaacacbcbbbcbacbcacaaabccbaaabcbccbbcaacabaccbacacabacccabbcababcabccbaccbbbcacbbcbaacaaccacacbccbbccaabaaaababcaabcacccaccbbcaaaaccaccaaccbbcbccbbcccbbccbcbcbcbccbacbbbaaacaaaaaababcaaaccbbbbcbcbaaabaabccbabcabcccccaaacabccbbbaacaccbbabbaacbaccacacbbcbccaacbabcbbabaacbcbaabcabbbcacbacccabbbaabaabcaaabbcacaaacccbccaaacccaaacbcbaccbaccacbbbbbaacccccabcbbbabbcabbbbccacccbaccababcbcbcbccbcbacbbaabaaabacababbcbbcaacbcaabbcbbccbcbcbccbacbbcaabcbcaabbcbcbcacaaaccbcbcacabcababaacacacaabbcacacbcccbbabcccacccbaacaabcbbbacacbabaacccaacaccbabacbacbccaacabacbabcbaacbcaacbcbcbaaaacbaacabbcababccaaaaaabbabbacacccabbaabbbacacacbcbbbcccaabccacbbbcccbababacbbbcacababcbaccacabaaacababaabacccabbccaabaabbbbabccbabcbabacbababccccccbaccbbaacbababccbbbaaabcbcbbbccaabcbcbcabaabaacbabcbaaccabaccaabcbbaaaabbcababbcccabbbaababcaabbacacabccacbbccbbaaaacaabcacabaababcbbcaacbcaacacaacaaccaaccaaccbbcbccaccaccccccbacbbabbabbbbabcabbbcabcacbbbcacaacaacbacbaaaccccbabcbccacabbbcccabcaccbbcccbacbbbbbbacbabccbaaacbcbcabacaacccabbabcabbaaacbccacacaacbcbccbcccbbcacbabaccbaaccbcbbbbabcacbccabbacbbaaaabacbcaacaaabcaaaaccccbacacaabccbaaccbccacbbacbabbbaccbbccbaabccbbacabbaabaabcbacacaacabcaaacbcabacbcbcaccbcabcccacaababaaacacbabbaaccacabbabaabbccbbccbccbcbcccccbbbabccacbcbbbcbccccaaabcbaccbaabcbccaaccbcabbabccabaccabbaabcbabbccaabccababcaaaaaaacaccababcbbbaaccbcbcabbabcacaccbacbababbcbcaaabccccbbcbacaaaabcaaccbbbcabbbccbacaabccbcaccacaacbacbcabaacaaccabbbcaacccaccabcaccacbcccabcaacbcbabcabcccabbbbbccbaabbbbabcacabbcbccabaccbccaaccbcabcccbbcabbcbbccccaacabcccbcbbababbacbabbacccbcaaabbcacaacbacbbbbacbcccaaaccbbbacabcbacabcbccabbbbcabcaccaccabbcabaccbcbccaabaabaabaaaccccccccccacaccaacbccbcccbbaaabaacabcbbbccccccccaccabbcaccbcccbaacbbabccacbbcacacbcccabbbccbbbaabcbaabbbcbcbbcabccbaabcaaaabaaabcbccaacabbcabaabcccacaacbbccabcabaacaabccbcabacabacacaacccaccbbbccacbbbbcbcbbbcaacaababaaabaabaccbbabaababcbccaaacbaabaccbabbaaccbcabcbcbacaacbbbabaaaccbbaabbacccbbbcbabbbcabcbbacacabcabaccbacbccaccccbcbababbaaaaabbbcbcbbbbbbabaacbbbabaaacbccbbacabbccbbbcbcbcbccbbacacacccbabcaccbcaacccbacbbbbcacaacbcccbcbabbbbbbcaacbacacbbbbabcbbababbcaaacaaaccbbccbccaaaccaacbaaccccbcccacccacacbbbaacbbacaccccaacbbbcabccbabaaaacbbbbacaabbcccabccbcacbccbbaabcacabbcaabcaacbbbcbcabbaccabbbbbccbbbabcaccabcccccccaabcbcbacaaabcabaaabbbccbbcaacbcacaccacbcbaaaabcaccaccbcbcababbacbbbbbcbcccaccacaaccababaaabcacccbaaacbbcbacabccbaaccbcabbbacababccabacaaaccbccbaaaaacacabbccaaccaacaaaabbcbcccaaabcccbcabbccbbaaabcbacabacaacacaaccabacacbacbbcabaccacabaababcccaabcccabaaaaaabcbbaabcaacbbaacbabcaacbacbbccaacaaaababaaacaccabbbcbabaacababcbcaabbccccaaabaacbbcbaaaaacababcbcacbabaabcaaaaacaacaaccabcabbcccbabaacaaaabbbabbaaacabbacbcbccbbcaaabbccacbcaaccabacbaccacccaccaaccbbbaaaababbbacaacabcccccbbaccacbaccaacabaaacaabbbcbcccaaaaacccacbcbccababaabbaababcbacacccbbbcccabbcccacbbaacccbababccbbbcbbbbbcaccbbacbacbabcbaccccccbbacbbacbbbaaacababcaaabacaaaccccbaaccbbcbcabcbaabccbababababacbbcbbbaabababababbbbcccabcabbcbaabccbbcbbbababcabbbbcbcbcbacaacbcbbbcbcbabbacaacabcaccbbbaabbcaacbccababcaaaaaaccababbbbcccccbbaaababbccabccccaabbbbccbabbbaaaaccccccccbbcabababcbaaabcaaacbccacbabbbaaababcbcbbbcbccbbcbcccababccbbbbccccbbcbabaacaaccabbcbbbccabaaabaabbbcbcaabbaabcbcaabaaccabcbcbcbbababbbabacccabcaaabaabcccacbaabacacaacbabaccccaaacaaabaacbbbcaacacaabbbbaaacaaaaccbacbabaccbbacacabbcbbcacccbcaabcbbcaaacbbbabbabcaaaccacaabaabcbccaababaaaaccbbcabcabcabacaabbccccbccabaaaccaaababacbabbcbbcabcacaccabcbbcacccbabcbbcabcabcbabbbabbcbabbabcbbbcccacbbcbaabacabacbcabbbbcbcbabcabbcabacaccbcccaaabcbbcaabcbccbbcabaaabcbcbabccbabcccaababaaccabaaacacaabbcbaaacbabbaaabbabbccaacbaccbaaacccbbaccabbbacbbaaccabaaaaabbbbcccbbbaaaababbacbabbbcbccaabaccbcbbaacbacaaabcccbbccbbabccabbcacbccabbababcaaaccbacbaabbcabaccaacaacbbabababbbabbaaacaababbabaabccabbbaaccaabbbabbbcbbccbbababbbbcbaaaccabaccbabcaabbcabcbbbccabccbbaccaaaabcaccacbaaabaabaacccaabcccccbabcbcbcaaabccbcabbbbbacabbcbbcbaabbbbccbbcababccacbabcbaabcbacabaccccbaaacbccbabcccaccabaacaaaaaabababbbbccbbaacbcacabacccabbbabaabcabccbbabbaabcbcabcaccaababbccbacccbcabcbbcbababbbaabbcabcacaaabbaccbabcaaccaccbabcaccabbacacacbccabbcacabcbbaaabacccbaccaccaaababbaabbaabccaacacbccabcaccccbaabcbbabcaacbccbbcbbbaabaccacabbccacaaabcabaccbacbcccbbbaaaabbabcbbaccbbcbbcbcccbbbcabbbcaacaacaaabccbbababaabbbacbccbcbaaabcccccbbbccaabcacbbcccabaaaaabbbbaaccbacabcbbcaacacbacacacbacbaabaaabbbbaabbacabccbabbbabcbbccbcaabccabbaaabaaabbbabccabbbbbbbccacbbcabbacacbacaaacaabbccbaacacbcbcbcabbabccaacbaccaabbaaaaaccacbbccabcacbbbaacacbacbaaccacbaccbaacbaaccbababcccbbccaabcababaabcbbcbbccbbccccbccbacccabbcbcbbabbcabbbabaccaabaaaacbcaaccbabccaaccacacaabbaccccacccaacccaaaccbacabacbcbbaaaaaacbaacbccbaaabcbcbbaabbaccbbaabccbbcaacbcbaabaacaacabccbbabbbccbcababbaaacbabbcbcabaaacbbbbccabbaacabccabaacbabcbbbabacbcbbacbcabacbabaaacbacaccacabbccbccaabcccbcbbbaaccbaccbcaabccbbababbabbaacbbacabacaabcaacbcabccbcacbcbcccbcabccbaacbabbccaabbabccbababaaabccaacabcaacaccccacacaaccccabbbcbaaaabacabaaacaacabaabbcabaaccccccaccaacbcbcbaacccbaabbbcaaacaacbcaaccaaccabcbbcaccabacbacacaabacaabbabbbccaaacbcbcabaababbabaabaabcacbccaabcbbbabcabcbcbbbbcbcbacbcacbaabbcacababaaccbbbbbcbaabaaabbbaaccaabcbacabccaacbccccbcacaabbcbabaacccabccabcabbbcbcabbbbbbcccabbcccaccbbabbcbabaabaacacbccbaccacaacbcbcbaacacacaabbccacacbcababcacaacccaabaabccccabacaaacccccbaabbccccbcabcbaccbbbaaaabacabbbabbbabbbbaccccbacacabbaccabbabaaabccaabababccccccaabacbcbbbbbabcabaaabcacbabaabbacaabaccbbbccabcabaaccacabcabbbacabacbcbbbcbbbcccccbbbbaabaabaabbaccaaaccbabccbbbcabbcbbbccbababcbcbacccbccabcbcacaaacbcaabccaacabbccbacccaccbcbaaaacbccbcaaaccccbaabccbaacbbccacbcabaaaacabcccaccaccabccabcaacbaabcabacccbcbaaaacabcbabbaaabccaabbcbabbcacabccaaabcaacacabccbcacacbabaabcbbcbcccccabaacacbccccacacccaacbbbbcabccbbbabbabcbbcbabcbbbbabcacaabccaccacaccbaaaabcabbaacccabaaccbacacbbbbbbbcabacccaaaaaabcbcbccbaacaacaabaacbaacbacaaabccacaaabbaaccabbcabccbcbabccbcacccbabaaacbbcbccabacccbbcccababbccaccbbcccbcbbbabaabcabaaaabaccbaccbbccaccabaacabccabacccbcbacacccbbbababccbbbcccaacababaaaacacaabacbacaabbcbaccabbbacbabccbbbaabcaacccacccccaccbbbcbabcaabacabccbcabaabcbcabccacacabbbacbbbbccbccbaabacacbaabacbcacccccbcbcaccbbaaaaabbbbacbaaaaaaaaccbcbacccbaacbabbbbccbcaaaccbacaacaabcacacaccbaabbbccaabccaccaccbcbacacbacbbbbacababbcbcacbccbabbaabbbabbaccacbcabaabccacabcababbaabccccccabbaccbbabcabababcaabacbbcabccabcabbcbaabaaccaabaaaacacccacaccccacbbabbcaaacbababaaccccaabcaababcacbaccbcacbacaacbaacabcbbbacbbbbbcbbbcbaacaccabacacbaccbcccbbaccbcbbcbbbacbcabbabacaabbabbabbccaccccabaababbbabcbaaaccabcbccaccbbcbcccabcbccbbbccacccbcbabcbcacbccbbccaaccbaccaaaacccacbbaabbababaabcbcaabbbccbcabbbccaabbbaccababbabbbbacbaaabaccabcbcbaaccababcaacbcbaacacacaabbbacbcbcbbcbaaabccccbbccbbaacbacccbacabccabacaccabbbbbbccbcbaaaaabbcaacabacabccbcbbbbacccabbacccbabbccabcbcbbbcaacbaababccacacbaaacaaaaccbbabcbbcacaaccacbcaaccbcbabbaaccabcccaacabbacbcbcaccbbbccabbccbcacbaaababbcaabcaccbbacaabbbbbcbaaaaacccccaacababababcbbaaaccccaaccbcbbcbaaabbccacaaacbbacbccacbcccacbaabcbbcbccaacbccaccacaacacbacaccbccacaabbbbaabccbbcbcaabbaaabcaccbbbcbcaaaaccbcbabbcbaccccaabbccccbbaaacbacabbbcacaaabacaccbcbaccbacacbababcbccbccbabaababacbccbaabcacaacacaacaaaaabaacccbbcabbccabbacabcaabcabcbccccabcacbacabbcbcacabababbcaaccbccbababaaccccbcccaccaccbcbcbccbbcabcccbaccbbabbabbbccacbabacaaacbcabccaaccaccbbcbcccbacacbccbcabcabcbbcbbbbcacaabacaccccaabaacbacccbccbbbabcbacaabbabcaaacaabcbaabccbbcbbaccbbbcaabbaaacbcbccaabaabbcbaababccacaaccbbbbaaaabcbbaacabcacacabbaabbbcaacbaacbbababaaccacbbacaacaabcbaacbabcccbacaaccaaabcbcacaccabacababccacabccbaaabccabaabacbbbcaabccbcaabbbacccaaacbccbbbbcabcbabaabacbbcbacabcacccabccacabacbcbbcacbbbacaabbccbcbbbbbabccbaacbacababacacbcabcabcacaaacabbcaaabcaabcbccbccaccbcbcbcaaacababcbbabcbcbccbcbbbacbaaaacbcbcaaaaaaccacbbbbccabbccbabccbccbbcaabbaacbbbbabcccaaacaaacccacacbbcbbbbacabcbcabcaabbcaacbbbccabbacbaababcccbabbbbbbaccccbacbbcaabccbacccabaaccabccacbcaabcccbbbbcbbbacbcacccbccbabbbabaacbbcbccabaabbbbabcbabcbbbcaababaabbbcabbacbcaccaccabccccbbcbaaaccaabaabacbcbabbbaaaacaabcacccbacbacaabbaacbccacbacacccccbbbcccbacacabccbacbabcacbbccababccacccbbbaaccbbcbaccacaacbbbcbccaabbcbcbcbacaccbacaaacacbacacbbcbabaaabbabcabababbabcbccbccaabcccbbcbcacccacbbbcbbccbbccaabbbaaaccbcaabcacabcccabacaabbbacccbaaacbbaacbbacbbcababaacabcbbbbcabaabcaacbaaabcabababacacbbcabaccacbbbaaccccbcbbbabbcbbcbcbbbacbcbbaaccccaacabccaacccaaacbcbaacabbccaccabcbccacaabcbbabcbbaabccabbccaaabcbaacbbcbcabbbcbcaabbaaabababaabbbbaacbbcbbccbaacbcacaabaaabbaaaacbccbbcacabacbabcabcabcbccababcacbbaccbbbccbbaaaacbcbcaaacbbccbcbaaabcaccaaacbaacbacccbabacabccccccccaaacbacccccbbbbaacbaaccaaabbaacabccbbcacababcbaccabccbaabaaabcccabccacbacbccabaaaaaabbabcbcaacaaccbbbabcbaccbcbbbabcacbbcbbbbcbcaacbacaccaccacbcbaaaaacbbbaaaabacbcbbbcacacbcabccaacbababbbaacbcacaaccbabcabbbbbaabaacbaaaacbbbbabcbacbbbcacbaabaabbcabbbaacccbabbccbbaabbcabbbabcbccccbbbaacabcaccaabacaabbccbabcbacacbbabccccccacccacbbbbcbbcbcbbbaccabccbabacabcaacccabaacaabbabacbcacbcacaabbaaaabccbccccabbbaccbacbccabcbccabbabcabbababacbcabcacbcacabcbbcbababcbccbbabcccccbbbbbaabcabbaaccabbacbaabcbbcbaacbbaabbbbaaaabbbbcaabaabccacbbbcbaacbcaabacbaaacbbbbabaaabcacaacccaaabbccaccbbcaaacbaaccbcbaccbabacacbbcabcaabaacacccbacacaaacbbbcccbbabaacabcbcbbcbacbacbabbacbbbbcabaaaccccbbbcbcccbbcccbcacbbcacacabaacaccaaaabccabccaabbaabcacbabbcbaccbaaacabccabaaacbbbaccaaaccbcababccacbccaaaaaccbbbccabbbbcacbcacbacbaaaacabccbcaaaacbbbcacbaabccbaaacaabccbcbbbaccccbbbccbcbbcbabacbcabcbacbcaccbbbbbcabbbabccaaccbabacbccbbbcaaacbccbbacbabbabcbaccaabaaacccccaaacabbbcbbabccbaacaaccbabbbcbbcabcaacbabbaacaacabbbccabaaabbaccbabbabaccccaacababaacaacbcbcaabacbcaabcbcbbbcccbcabbabcaacbbcaaaabbaccaabbaccbabccaaccbababcacabacababaacbcacbabcbcccacabbcabcaaacccaccccbbcccacbcbbcccababaccbccaabbcabaacaacabacccaaabbcbabaacabcccbccccaaacaabbbcbacbcacaabbaabaacbabcbcbabaabcbacbbbcbcababacccacbbabbabbaaacbbcabccbbabacbababaabcccbaaccabbbbcaabacaabaabcaccccbaacbaccccbaccaacaccbcabcaccbbbcaccbcaacabbcaacacaacbabbccbbcaccbccaccbbaacabaaacccbcbcaabcbaababbacaccacabacccabbcbbccbccaacabcccccaaabcbbabbbbacabccaabcbacbcababcbbacbbcaaabcbacaabcbbaabcabbccbaaaaacabcbbbbaacaccbcabcbcccaaabacbbaabbcccabccbcccbcababbacbbccaaabcabbccbbbacbbaccbabcbaaccacaacbcabcacccbbbbbbbccbbcbbbcabaccbbbcbbacacacaaabcbcbaacacbbcccaccabbabbabbcacacbbcbbbbccacbabbbbcacbbccaabccacaabcbabbacbababbbabaacccabcbbaaabaaaacabcbbaaaaacbbbbccaccccacbbcaccbcbabbbacbbbaacaabbcbaaaababacabcbbcccaaacabbbacccbacbabcbcacbcbcbbaccaabcbacababcbcccbaaaacbbbbabbbbacbaacccbcacccccabbabbbababbacabbbcacabaacccbacaaaacbccbbabbbaabcabcbabbaabcabbaaacbbacabccbccbcbcabaacccabcabaacaabccbccbccbbaabacbabacabbacabbcabacbbbabbcbbaccacbcabcaaacacbbcaacbcbcbabcaccaacccaaccaabccacbcacaccbbbccaacccbcabbcaacbabbcaaacbbccccacccabcbaccbcbcbcaaabcbccaaacaccaccccacccabbbaccccaacacccbbbbacabbcbcaabcaabaabccacbcccbabccbcbbabacabcbaaabcccbcaacbaaccaccbaaacabbcaccacccacabacbbababbcaaaaaccbccbcbcabbcaccbbbcbbaacbccbccabcccacbbacaabaaaabaccaccacbaacaabcbbaacccaccacccacacbcbbaacbaccaaacccbbbbacbaaacbcabaccbccabbcabacccaabcccabacbaccacbccbabcbabbabaaaaaaabcbcabbcaccbbbcbcbcbbccbcccbcbbaaaaacacacaabbcaabcccbabacacbbbbbacbcaacbccacbccaacaccbbbcbababccaabcbbbacbccbababbbccccbbaccbacaaaaccbbbbccbccabaacaabcaaababacbbbaabbbcabaaccabcabcaacbbabcacbcaacbabbbcbaaabcbbcccabcaabccccaabcccabbcacbbaababcbbacacabcbbcbcbbccbbbaacbcaacacbbcbaccbacbbaabcabcbaaacbaabacbccbacccbcababccacaacaabcbbacbaabaaabcbcbbbaabaccabbbabcbbabcbbcabbbcaccaccaabcacccbbbbaaacaaaacbbbbabbaabcaabbcbabcbbccacaaabbaabacbbccacbacccbaaabcababcaacbbbccaacacababcaccccbbcbabcccbbabaccbccbaaacccbbaacbcccaacaccacbaacbbcaaacaabaacaacacbcccbacaccacbcbbbbccaacbcbabaaccaaaacccbbacabaacccaaaacababcbaabcccbabcaacbacacaccacbcabbcbbbbbbacaccbbaccbccaaabbcabcbacccccacbbcababbbaabaccabbaabbbcaccccbabcaabbcccaccaabcaaababccbccbbabbbbbcacacaaccacbacabbacaacaacbbababacccabcbbbcbbcaabbaaccacaacabbbcbccbccbbaccaabccbabbcccbacbbaaaaaabaacaaccaaccaaccabaacbbabcaabbbaacaabaacccccabccbcbaabcbcacabcbacbbbaabbbabcacccbaaabcccabbacaabacbaaaccabacacccacccbacacccaaacacccabaacacabbccbaabccbabccbcbabbbccbbbccaccbbbbccbbaccbcbaabaccbcbbcccbcbcbbccbaacaabccacabaabaaabaaccabcabbbbaccacbabcacbaabcbcacbaaabacaccacaaaacbacbcaaccbbabbcccbaccabbcabbabcaaabbbacbbaaabbbccbbcacabccacabbaccacbaaaccbaaaacacacbabcbcccccbacbcbaacabaaacbabcbbabcbaacbabcbbccbcbbbcbbbbccaccacbcacbabbacbacaccbabacbbcaaaabbcabcabcccaabaaabcaccccbbbcbbbaacbaccabaabaccbbbccccbccbcaaccacccbacccabcacbabcccbbcbbcaaaccacbbacbcccbcbaacbbacbcabbbababaabccbaaccbcbbacacbbacababaacbbcccacbcbcbbbcabccaabcaaaaacaccaccaababababbbcaaaccbaacaaaccbbabbbccbcbbabbbbcaabbaababcbcacccbacbcbbbbacaacbcacaacaaccababacabcbcaacbccabcbbbcccbaaaaccbaabbacbbabbabaccaccbaababacbcbcaabaccabbacabcacaacbabbcaababbabbccccbcaaabcbbbccabcccacccbbbaccabbbaabaaacccccabcbaaacccaaccabcccabbcabcabbbbbccbacbbbcbababccabbcacbccabaabbcbcbbabacccabcbaaccaaaccabacabcababcbbaaabccabcccccacababbccacbcbccbbbbaacabcbbbbbbcbaaaabaabcabbaaabaacacbbcaccabcbaacbcacbacbbcbacaaccaccbcaacbaabbbcaabbbbbbcccbacbcabcbbccccacbcaaabbabccacccbbcbbbcbbaaccaacbaaacacccbbaaabccccbaabbccccbcbabbaacacaaabcbaaababcccbabcaccbbaaccacacaacbbaaabcbbacbccbccabbcacccbccbbcccccacbaabcbcacbcaccbcacaccababacbaaacbbcbbbabbcbcbaabcbaacbaababbcaccccccacacbcbcbcabbbaabaacabaabcacbacabccbacccbcaaacababbcaaabbbcaaacbaabccabbcacbabccbcbbbccaaaabbabcbcaccbacbacacabaccabbccbcaababccaabcabcabacaabaacccacccaaccaabbacacbacbabcbaccbabbcacbcbcacacabaacccaacccbbbaacaaacaccacabaccbccbbacbcccabacbcaaacbcbbcbcaaabacbacbcaabaccbacbbaaaacabcbbabcbbacaccabbbbbbaaccaabcccccabaaacabababbccacabccbcbacaccbcaacbaabbacccabbbcbbbaccaabababcacbbbabccccaacccccababcbcbccbbabbccbcabababbcaababcbaabacaaaacaaaaabaabccbbcacbcaaabbcbbbacacbcacbcbaacacbccbcaabccacbbcbcaaaababcabbbacbbabbabbaaacaabcccaccbbbcacbcaccbbaacababaabacabbaccccabbacaaabaaaccbacbccbccbcacaccbcbaaababcccbcbaaaabcaaacbbaabcabbabccbcbaccbabcbacacbacaabbccaaabccbbccacaccbccaabacccababccccccccccbbaabababcaabcbaccccaabbccbbcbcbaaccaaaaccccbccaccbbaacaabababbaccbcbbaababbbacccabbbacbbcacbbbbbbbabacacaccaaaaaccabcbacababccaaaaaaccbbaacacbbbcabbabbabccaabcaaccbbcbacbbabaaacababacacccbabacccaacbaababcbcbabcbccabcbbacbabaccccbbabcaabababbbbcbcccbbcbabbaabacabcbbacabccbbcbaaaaaabaacbbbbbcbbcaababaabaacabaacbbbacbbabaaabcaabacacacacbccbbccbcbcbcabcccacacbbabacababaabacabcacbbbbbacbbacbacccccacbbccccbbaccacccbaababcacbbcbbcbccaaabcccaaaaaabbbaccccbbbbbaabbcaaccccaaabbcabcccaabcabbbaaacacacccaccbccacaaaabbaccccabbbbacbaccccbbaaccacbbcbcaababcababaccbacabaacacabcbcabccbbcccaacbacaacaccccaaccaccaccbccbcacaccaaaacccccbaacbaabccbcaaaccbacacaaababbcbbbaaaabcbbabccaacacbbbabbccbcbbbaacabbabbaccbbcbaaabccabcbcbccabacbbabcabbbabacbccbbabacabcaaaccbaccaccbbbcacbbabbcbcccaacbbbbbacbcbcbcaccaacbbbcbcccbaccaabaaaaccbaacabacbcaaaaabacbccbaabccbbbbabaaacbbcabbbbbcbabbbbcacccbbcacbbbcbbcbcbccabacbaaabcbabcaacbbbabccaabcacabcbbbababbaacaabaaaaabaaaccbcbbccbababcabbcbbbccccaaaccaaccacbcbcabaaacabcabaabacaabaaaacabbbcabcabbbabacbbaacbcbaaccbbbbcbabcaccaccaaccbaacabbccbbcccbcccbccacbaaccccacacbaaabbcaaabacaabbbabacbacabacbabccccbcbcabaabbbbccbccbabbabacaacbaaaacababccaccbaababcaabcbbaababbcbbaaaacaaccaaccacbbccaccccccaabbcabcbcaccbaccbbcabacbbacbcbaaabbcccccbccbbbbbbcabaabbccabcbbccaaabacbaacacbbbbacaaccaababcabacacccaccacbbcaabacaacbcbcbacbcbcaccbbcaabcbaccaacbcbcacbcbbcabccccbaabcaccabacabbcaacbbccbbbbcaccaabaccbcbcbacaababcbbccccbcacaaccbcbbacbbccacbababcbbbbbabaacbabbcbbbabbbcbbabbbababcaacaababaaabbabacccaaabcbabbabbccbcabccbcabbabbbbabacacabababbaccbaaaacccacaccabaaabbcbbccbabbabbcacaaabacbbbbcbbccccbacbaacbabcbcbacacbaacabcbacccacaaabcabbccbbacbcbbcacbccbabacaacbccbabcccbcbcbaccbcbbcaacbcccbaaaccacbabcbabcabcbccabbacbbcacbaccbaaaaaaacbaabbaaaabbccccbababbbbacccbbcaabbbcbaccbabccaaaccbcbabcbaaccaaabcaabaaaacbaabcbbabacbbccabbbaaabbbabbabaacbaabacccbbacaccbbcbbbbcbbabaaaabbaabcbcababbbbabbbbcccbbbbaccccbbbaacacaccccccccacaacabbbabaaabcaccbacbacbbaccabacbcacaacbcccacabbaabbacaabacccbacbcbcccbccabaaaacaabaccbaabcbabccccbcacbabbacbabcabcbbbbaaccbcabcbaacabbaacabacbcccaaccababbcccaaacbabbaacbbcaabaccaccbbcccccccbbbacbcacbcccaccaccacccabcbabcccabbbbccabababcbbbacaaacabacbbabbccbbaccbaacccbacabaaaaacbacacacbcabbcbbbaacaacaacbabacacbbbbbacbbaaaccaaaacbccbcaacbbcacabaacccacaacaacbaababacbbcbccaabababcbabbbbabaacacbccccbcaacacaacababcaaabcacaacabaababaaabaccaccbaaccacabcaaabbccbbacbacaaacabbababacbcbccccabbcbaaababbcaaaacbbbacacacbbbbbbbcbcaabbbabcbcbaacbbcababbbcbccbaaacbccbbabababcbcaccacbaaaccbcabbbabacacccaacacbacaaacbbcaabbaccaccaccbbabcabbcaccbcccbcacbbbcbccbaaccbaabbbaabacababaabaaaaccaccaababacaaaabaabcabaaaccbcaaaacaaaababaaacbcaaabbccbbaabcabbcccbacbcbbccbcacbbbbacacababbbcabbcabbbcbaabbcbccbabccaacacbaababaabaacbcababcbccbbbbbacbabacbbabcbbccccacaccabaccccbcaccaccbcccaaabccbcaccbaacbcbbcccabbacacababbcbcccbbcbaccbbabccccabaabaaccaaaaabbbbcccbccbcccbabbbcbbcaaacacbacabbacbbcabbcaacbbbabbcabcbaacacbccbabbabbbbababbabbbbccbcbacbaccbccbacabcbbacbccaccabccbabaaacabbbcaaababbbccbababcbcbbcbcaaaccabbbcbccabbcacaaaaabbcabbcbcacabbbbbacaccbaacbacaaabbaaaaacbacaccbaaaaaaaaaabbcaaaabbccabaabbbaaaacbbbaaacbbcccbaaabaacabbbacbbbcabaaccaccbcacabbbccaaacbcbcbccbbcbbbaabcacaccababcababbcccaacaccabaccbcbccbbccbcbabbbcabcacaabbccacaabbcabccbbbaccababbcbaaacaabccaaccabbacbbcbcccbcbaaccbbbccacccacacabacbccbbcabacabbcaaacbbcacbbbbcabacaabbccacccbbaccccbcbbbbbabaabaaabbccaccacccbbccccbaabbcccbcacbabcccacbacacbbccbbcacacacbaabababccbabbcaabbbbcaccccaabcaacbabcaaccccabbcbbacacbcbaccbaabcbbaccabaabcabcabaaaabaaacabbaacbbcacbcaccbaabcccacbacaaabccaaaaabbaabbbabacbcbcacccacbcbacbccbcaaccacbccccaabbcbbccbbbbacbbcbcbbcbaccacabbabcbbcccbbbcaccccacbabbaacccbabbbcbbcbcbacbcbbccacacaacbcbcacbcaaaacccccaaaabbbaaabbcccbabcccbbcaaabcaaacaabccbcabbaacbbbbccaccaccbccbbbbacabccbbcbbccbbbcaaacbcbacccccccaaabbcbbacbabcbccaabaaaabcaaccbbaabccbcaaacbbccabbbbcbbabbcbabccacbcababaaacabaaaabcbbabcccbbacacbbbabacabbcbbaabbbbbbcbbccaaabcaacccaaacbaaacbacbaaccaabaaaaccbaaabbabbcbaaabcccbcbbbcbcacccbbbbcbbbcabccbcaacbabcbaaaccaabbbcbabbcbabacacbaccaabababcccbcabbbaacccbcbabccccbbabbbabbacbabbbcbcaaccaacaccaabccacbccbcaccbbbababbababcbbccccbcabccacabbcbacbcacabaacabacaacabbaaabacacbacabbbcaaaaacaaaabcabccabbccbbcccbaaacbacccabababbccbabbbbcbcbbcacccacacbabbaaacbaaabcccbbacbbbbcbaabccbcbccbcbabacbacccccbbaabacbabcbbccbabccacacbaacccabccbcabbbccaaababacacaaacccabbaaabbabbbcabaaccbaabccbbcbacaabaaabbacaaacabbaabbbbbbccbccbacccbcaabcaacbbbabcacaacbabccbabbabbcabacaacbbaabaaaabcabcccbccabcaababbcbccaabababcbcbccbacccabccbaaaccacaabaabcccabbacbbbbcccabccbaaccbbaacbaabbcaccbcbcabbbbbaaccccabcabaabcaabaaacacaacccacaacaccabbcaabaaacbbaccaaccbbccabbbbbccabababcbcbbaaabaaaccbabbaaacbabccbbbabbcbabacbbcacaabcccaababaaabcaababbabacbabbbcabbbabbbaabbaabcacacacaaabcbcaaababaccacacaababbbcbaccacaacabbbaabaacabbacbacbacaaabbccbcaabbbaabbcbcbbcaaccaaaccacaaaabcbcacbabcaaaaaababbacabbabbabccabccbabcccbbbbbcacacabbcccbcbbbbabcbbabbcbabbaabbbabccaababccaabbccbcbccbbcacacbbaaacaaabaccbccabbacbabaccabcaccbccabccaababcbcaabbaaacbccacbabaaabcbaaccbbaaaabccccacbcbbacaaacbabaacabbaabbccabccabaabcccacaccbcaaabcbabbabcbacbccaaabcbabcabaabcababbbabaaacbbbccccababbacbbcaabbbccaaacaacbbcbacaabcbbccacaabcccccababacaabcabcbbbacaaabcbacbbababbaacabcbaabcbcccbacaabbbbaccbcaabacabacabaaabcacbcabcaabcccaacaabbbcacbcccbbcbaaaaccaabcbbcbaacbbcccccabccacccaacbbaccababbcabbbbcbaccabbcbbbcabacbbbcccbaacbbcbccaaaaababcccaccabacccccbacbcbaaaaccbcaaabbcaabbbbbaacbcbbabcbacaaccbccababbcaaabaaaacacbbcabcbaccaacacbcabbaaccababaaabbbbabcabcccaaabcbbcabbcbbabacccbcbaccbbcaccabbbbccbaacacbaabbcacacbbcbbccbbababcaaabbbabbcaaacabaabbabcacbcacbabbbaacabaabaaccbcccccccccbacabacaaaccacbabbbcabaccababcacbacacababbccccaacaabcbccaaccbcbccabbcbccaaabcabbccaccabbaaacccbababcacabccaccabbbaabcabababaabbbcbaaabbccccbabbbabbaacbbcacbabcbbababcabbcccccaabbcbbacacabcbcbccabbabbbcbbaabacbabcbbaccbcabccbabbbcaccacacccbccbcbbababaaacacccabccbbcacacaccbccacbbabcbbccbbbcbbcaacbbbbaaabbcaacbaababacbaaacabacbcbcacbbbaccaccbcaacbacccaabbcbcaaacbbccbacbacabcabcacabcbabaaababbbaabaaaacccaababcbbbccbbabccbabcccbcaaaccbacbcbabccabaaaaaacbcabcbccabbbbccabccabacbbccacabcbcccbbcccbcabcacabccbcbbacababcbbcaccbaabaaaccbabbbcbccbaaaaaacbcacbaaaaacabcbcabacaacababaacabcabbaaccabaaacaaabaaccacbaaaaabacabaabaaaabbaacbccbabccaacaaaacacaabaaaabacbbbcbcccbbabccabbbccacaababcabbcccabacbabaacaaaccaccbaaabbbbabbaacccabcabbbacccacbaacbaabccaccbccabbcacaaabccccaacccabcacbcbacaaaabbbbbacccacbcbacbbccbcbabbbcaaaccaacaccabaaccabbcaacbacbccbcbbbbaaabcbacbcaabbacaccbcccbbaababacacaaccabcababacacbbbcbbcaabcabcabaaacabbbcccabbaabbbaaabacccabcccaabccbabcbaaaaaccbbbaaacbbbaabccbbbaaacbbbabcccacacbbacbcbabbabcbabaaccaccbbaacaacbbbcbaaccbcacbcaaacacbbcaaabcbcccacbacbbcbaccbcababaaabcbcabcccccbcbbcccbaacccabbccaaacbcbbbaabaaccbacabbabbcbccbaccaacccabbaccaacabccaaabaaabbbaccccaccbccacacbabcccabacccaabbacbccbabaccacacabcbbcbbaacaccbaacabbbbaaabccbabcbcabbbbbcccabaacabbacabbbbbcbaacababaabbababbacbcccbacbbcbcbbbcccaaaccaccbccaabcbaaaaccbbccacbbbaccbaccbacbabababacbcaabbacbabbbaaaccbabaabacaabaccabbbcabbaacccbbcacaacbcbbacaabbabababacaabacbacbbbcbaabaaaabccbcccabaccbaabbabbabaccbabbbbcacbbaabcacccbaaaacbacaacccccabaccbacbcaabaabcaccbaabacbbaacaabcaacbaabaabcaaaaaabbbbbacbccccbcbabbbcabccacacbabcaaaccaaaacbabaccabbacacbabaabaabaabbcbbabaacbababaaaaacacbbacccacccaccccbcbaccbbaccbbacbbaccbabbcabccacabbcaaabccbaaccccabaabcbcbaaaccbccbcababcccbcccbbacaccccbacbaaacbbbccbbcabaccbccbbacabababbcbcaacaaaacbbcccccabaabccbcaabcaabbbcccbbacabbcbbbccabbbacbcabbbbabcccabcabaaabbcabbcbbaaacbaacccbcbabcbccccccaccccbbbccbcccaacaacacbccbaaabbabbbbcbaaacbbcbcbcaabbacaaabacacaccabcbbbcbcacaaacababcaaccccbbbccabcbccbccaaacccacccccbcbcabaccbabacabcbbacbbaccabccababcbacbcababccccabbbacbcbcbaaababccaccacababbcacaaaacccbcaccaaaaaacacacbbbacacacbabaacbbabbcbbaacbbabcbababaaacbccbcbabbbbacbccacacabcaacbabaabbbcbcaaccabcacbacbbbbbabaabbccabbbbacbacaabbbcbbbcbccbcbbabbbbcacbbcccccacbaccbbcbbcacbacaabcbaacbabbbabbabcabaccaaaababaccccbbbabbcccacbcaccabbbbbbbaabbaabaccabcccacbcabcbacabbcaacbbababcbaaaacaaaacaababccaccbabbaaacaabcbcccccccabbbbbbacaacbacbcaaccacbabcbbabcabacbacaabbbcaccacabbccaacbbaabbbabbbcbbbcaabcabaacababcaaaaccbccbaaabbbaaabababacabcccaaaccaccccaabacbbbcaacbabccaaaccaaabbabcabcabacaaaabcacaacbbbbcabccccaabbccaaababbbbababcbaaabccbabacbababaccaabcaacaabbbabcbbbacacbcaccabbacacccbbbbbcaabcaaacbbcccbcabcccabbcbacaaccbaacccaabcbabbcbaccaabcabcaaabababbcbbacbabbaabcccbcbabbccaaaabacbbbbacaacacbbbbbaabcaaabbbcaabccbaccbbccbcccbacccaaccccaaaacbbbccbbcbcacbabccbaabbccaccabbaabcbabbcaccbacaabccbbaabaacbcacbaaaccbbaabaaabaacbbbccabcaaaccbabcbbcaacccacabaaacccccacbbacaacaacaaacbbaabcaaaacbbaaabaaaccbaacbbacbababbaaaaababcaccabcbaabbcabccabaababaaabccaaaacbacbcaacabbacbacbcabcbabcabcaccacbacaccbbbaaabacaccabaccaacabcbbabbcbcabbcaccacccbaccaacbcbcabbaacbcbccbbabcbaccbbaacabcabccccbabbaccbacbbabaccaacbcbaabcaccbcacccccabaacccbccbcaacacabcccbbacabbaabbacacabbcbcccbbcaaccacbabaccbbbaaccbacbabbbcabaaaccaaaacbbcbbbacaacbbabaabababaababcacbcbacacaaacaabaacccbcacccbccabaabbaccccbbbbcaababaabacbabcaabaccccabbcbbcacbcaaacacacbbccbbbbacabaababbcaabaacaacccabacabbaabccaacacbacabbcbcaccbacbaabaaaacbccbbccccbaccaabaaaacaabaacaabaccbacabbacaabbacccaacbcacbcccbacabcacbcbccacabbbaabaabbcbaacbcaccacbbcacbaaaabaabbbabcaaababcabcbacacbaabccbaaabccbacbbacbbabcbbcaabcbccbccbcaacbbcbcbababbbaabbbacacbacabbabcababcabaabcabcaacccbbbccbbbabbccbaaacabccacccbcbaacbccabaaaccbcababcaacbcbcacacbcbacaccbacbccbcabcabaaacccbcacabbcabacbbcbbcabaccccaccacccabcaaccbbbabcaccccbbaabcbaabbcaabcaabcccacaabbacacabbbacabbccbcccccbaccbaccbaacacbccbbaccaaacaaccaaabcacaaaaacabaaabbacbbacaacbccbaccccababaaaaacaacccabccbbbccacbcaaabbbcbccaaacabaabbcbbcccbaaabcbccbcbcabbaacaaccbbcbccabcacaabbcbccaabbbbbbcbcaccbbcbbaabcbcbacaccccbaabababaaabbcacbacacbcabbaaaccbabbaaabbaccaaacccaabbbbaacccbacbbbbcaababbaabbbbbbbccccacccbbbbbacabbabbbacacbbbaacbccccabbcbccbbcaacbccaabbbbcbbaabcbacbaabbacbbbbcbbbaccbcaabacccaccccabaabbaccccaccbaabcaccababccbbbacacbabcbacababbccabbcacabacabacbabbcaccbabbacbcbbcabbbcbccabcaaccabbacccaabbbccabbbbbabbaaaccccabacbbbababaabcbbbacbbbaabccbbaaacccbaacbbbbccbbbcbcbbabcbabababacacaccacbbaccccbccccaacacccbcabbbcacaacbcabcabccbacbbcbcbaacabbbbbaababcababbbabaabbaccaccacacbcabacabaccbabbbcbabcccbacacabbabbabaaccbabbbbabbbcbbbbbbabaacabacbccbccbcaaacbbcccbcbbabcbbaccbbacaabcccccabbacaaabbbaccabaabbabaaacbacbcbcbabacbababcbbbababbaaabbcabcaabacacbacabbcacbcbaabbaacbabaacbaacaccacbcaccbccbaabacaaaabbabacaacbbbacababababaaaccacbcbbababbacacbccbcbbcbbcbbccbacaccbcbbabcbaacabaabbbaaaacacabccabbcacbcbcacccbbaaabbcbaacaacabacbcabcaabbaabaaaaabaaaaababbbcabcbcbcabccaabcabcbacaabcbbaaacbbcbbbaababcbcacbbaabbbcaababbcabacccaacaccabbcabccbaaabbbacbbccacababbcbabccabaccccaaabaabcccacacacbcccbccaaaaccabcbccccbcacabccbcbaabbaacabbcacbcbbaabccbbbbaacaccccccaabbcabaabbaabacccbabbcaccbbbbcbbacbaabcaccaacbbcaaccbbcacbaabbcbaccacabcbbaacbccabccbbacbaaccaccbcbccabaccccbabcbbcbcbcbcbcbbacccabcabcacbabcbbcbbcbacababbbacabcbbabbccbbbccacbcbcababcbbabcaacccbacbbcbabbacaaccbcaaaccbbcabbbbaaabaabaccbabbbbbbbccbcbccabaccabcaabaabacaaacacbbabbcacbbbacacbbbbacbaacbcbcbbccababcccccabbbbbaaabcacaacabaabbccacaccababbaacbaccaabcabbaacaabbabaaaccaabcaababbabcbcaaaaacbcabcbbbcbbacabccccabbcabbbccbacbbcccacbcbcbcacaacabaccacaacbbcbababbbababcaaacccacbabacabcccbbbacaabacbabcaababcaaacaaaacbbabccaaaacabbbccccabaabcbbbccbbaaaaacccabbccbacccbbbacabbccbbcbbbccaabbcbbbcabacabcbacabbbcbcaccbaccabbbbcccbbbacbcbaababcaacabccbbbabcbccccbbabcbbbababcbaacabcbbbbabcaaabaaabcbcccbcacaacbccccbaabbbcbbcabbabbacbcbaaacbaabacaacaabbbaababbcbcbbaaabcbaacbaaaaacaccabbcbabccbccbbabcbabbbcbcabababbaccbbcbcacabcbbbabcbbbcabcbcbabaccaccbcaaabbabbbaaaacaacbaacbbcbbaacabacbabbbabaccccccaccbcbaaabbbcbccccaaccbbbcabaacaaaababaacccccaaababbbaacbccaccbcccccbcccbcbbccbabcbacacbcccbababbccbcaabbcaacaaabcbabcacbaaaaabbaccbcbaaabacaabaaacabacbacacabbbbacacbaacaaccabbcbabbabbaaaacbabbaabcbabaaccbbbbaaacbbcabbccbcaacabbcaacccaccbccbacbabaabbaccabbcccccabaabbbbbaabcacbcbacbcbbcaacbcaccabcabccaababcabbbcaccaacbcabcbbbacbaaabacbaabcacbcaccccaccacbbacbbcccacbacbbbcbbaccbccbabababbbcbaaccbccaccbccbbbaacbabaabbacccaaaababbbbbbaccbcacaacbabbbbbaabbcacbabbcaabaabaaabbabbcacaccabbabaccabbabccbcaaabcbcacabccbcacacccaccababcbaaaabbcabaccccbbaccabaacabbaabccaacccbbbbcacaccabbcaaccbccabcbbbcbcccaaacacbbbbbccbababbabbcbbcbabcaacaacbbbbaaacbbaaccabcbcccaccaabcabbacabacacbcbcaccaaccacbccbacccccacaaabbcbbacbaaccbccccaaaccaacabbcbcbacacbaabacbcbccbababccabcccacbacbbcbaabcccbccaabbaacaccbbcbabbcbbabcaacabccbabaaacababcbaaabbabccccccababcabbabbaacbbabbabacbbcbabccacaabaaabbaaccacccaacaacbccaaaaaacccabcaaacbbbaacbccbcabcbbcbcabcbbbaababccaccccbcababacacbabbcaccbababbcaacbbcaababcabbbbbbbbbcbacbababacbacbcbbcacccccccbcaacacbbccbbcbcababbbcabacaaacccbabbabccbcaccbaaaababcaabaccabaacbcccbcabbabacbcabacbcaaabaccbcbcaabaabbbccacbcaaaabacaaababbbccabaaacacbccaccbcbbcbcbaabbccaccacabaccaabbbbccbacbccbcbbcbcbabccacaaccbacacccabbbbacccaabcabaacacaaccbacbbbbbbabaabbbbcbcbaacbcaaaabbababbabaabacbaaaaaacbacccbaababcabacbbbacabaacacaccccaabbacbcaacaabbcbaaacccacbcbabccbccacbacaaaccabbabcabbaaccacbabccabcccbbaabccaaacaabbbacbacaaacbabcccabbcaabccbababaacababbccbbbaacccaaccabaaaabbccbcacbccabbcaaaccbabaabbacbbbacbcbaacbbcbbbcbbcaaccacabcbbbaacbbacbbaabbccaaccaccbccaacaccbcccbababbbccabaacccaabcbcbcaccbbbbcbbcbcbbbabbbabaacacaabcbbccbabcccbbbbaacbcabbbabaaacababaccbbbcbaccbabbbcaacbccacabcabbbbaaaaacacabbaacbacbacaabcacababcbccbabacbbbbacccabccaabccaccbbacaccacbcbccbbacacbcabbccbcbcccbaabbacaaabcaabccbabcbccbcaababaababbbccbbbcbcaaabbbacbcbcbccacbbcbcbaabcacacbcbcacbacbccaacaaacaaabbcccbaabcbbacababaaacaacbcbbccbcaaacaacaaaacabaabacaaaaaacacacbcabcccbbcccbacabacabcaccbccccabacbcbbccacbbbbbcbbbcccabaabbcbaaabbbacbaacaaccabbbcbcccababcbcacbcacaacababacaaacbababccaabcbbcaaabcbabaccbabcbbcacaabccabccaaacccaabcacbcbbaaccbabbbacbabcbbbbbcacbcabababccacbbcabbaaaaaacccaacbccaabaababacabbcbaaacabcbabbbabacbccbcacaaccbcaacaccccaacababbccabccaabbbccabcaabccaabbababbbccacbaaaaaccacabbcaaabccaacbabacbbabaacbcabcabbcacccbacacabaaccacbbbbabccbccbbbaaccccaacacbcaacccbaccabccbaaccbaabbcbaccacabaaaaacababccabbabaccbcbccbbbaaacaabcbcacacababbcbbaaccbbbbaaccbabccaabbbcaabbbabacccbccbaaabbccabcacabbacbcacccacbbaacccaacaabcaccaacacbaabcbbcaaacbcaaaaabccbaaaccacaacccbaacacacaabbcaacacbcbbbabbababbbbabcbbacbaabbcabbbcaaaabbacbbcabcaaabbaabbabaacabcbccabacabbcbbaccaaabcbbcaccbbbabcbcacbabbbcccbbcbabacbbbccaabccacbacabbcabcaacbacabccbcaabbbccbabbbbccccbcacaccaabcabacbbaacacabbacbbccbabbbabcccacaacacbacbbacbccbbbbcccbbccbbccabcabccabaacacaccacbccbccabccbcaabbcacabcaaaacbbbcbabbababaccbaababbcacacbccbaabacbaacbbbcbbaccbbaccbccabbbbbacbcbcccabcabbbbccacabcbcaaccbacacacccacabaabcaccaababaabbcabccaaacbabcbccabaacacabccbaccbbccbacbbbbaccaaacbccababacbaccbabaacbbccaabaabbcabcbabaccbaaccbccbcacbaacabcbbccaccacacacacbccaaaabcabbccbbacbcaaaacccacbbccaababbabbcabbcbabbccccbcbcbacaacabbcbbabaabbbcaccbbbcbcccaacbbbaababbacaabbbcacacbbaccaaccbabcbccbbcbbacacbcccacbbaccaabbccacbabbccaaacccabbcbbbcaabbbbcbbcccaacbbabacccbcabaccccabcbcbaaaaacbbbcbccbbcbcacbcaacccabcabccbaaacacbaaccabaacbbcacbaaaabcbabacbacabcbabbabcabcaabbcbaaacacabbbbbacccbabbcacbabccbaccaacbbcababacbccaaabcababacacbbcabbccaacacabbbcacaaaacbccaacabababacbcbbbbccbccbbcbabbcbcacbbcbacbcbbaccaaabbccacaaacabcaaaccbacacacbbccbbbcabcacbbaccabbabacabccabcccccacbccabbabaabbcaccbbbccccacbbbacbcabbcbbbbaacaaccbcbacbcbaccbbcaaaccbabbabaabccaacbaccbbbcabbcbacacabcacccaccbacbbcccbbabbbccccabaabaccbcbcaaaabacbaacccbbbabbabcabaababcccbbaabccbcbcbcaaabbaacaabccccacbabcccbabbbabcbaccbbccbacabaccbcbaaacbcbabccbabbbacbbcaccacaacbbcaaaacbbbccacccabaaaaaaabababacbbbcabcbabbababbbbccbcbbcacacccbcccaaabcccabbcbbcaccacbbbaaccaccccabacbbacbbbbcaaaabcbcacabcbaccaaaaabbacbccaacbcccbcbbbacbababcbbccaabacbcbcaccacaabcabbccacbcbaabbabbbbaabababbccbbcccbacccccccbccccbbbccaaacbbcbbbcbbabccbcaabbacababbabccbaabbcccbbcbbaccbabaaaaabbabbaaacbbaabaaaccaaacacabccbccabbaabbcccabbaabbbbbaccbbcbacabaccabbaccacbaababaababacccbbbcbbbabcbbcabaaacbaccacacaabcabaabcccbbabbabcbaccbccbbabcaacabcbabbacaaabcbcbcbbacabcaaacaabbcabbbaaaccccbbacccaaaccbabcbbcbaaacbbbbabbcacaaccacbbaccacccbaccaaacbbabaccabaabbbaaaaabcbcbbbbababcaabaccaabaccccabbaacacacacbccacacccababccbbaabacaabacaccbababcbbaabcbccacbbabbbaaacacaacbbaaaaacaacacacbccbcbcbcacbbaaacaccbaccabbccbbbbbbcabaacbcbbbcabababbbcacabaabcbacccaacacbcccabbaccacbcacbcacabbccababbcaaaaacacccbabacbccacbcabbccbccbbaabacbccacbabbaabcccacaacaabccbabbccaacbbcabacbcccbcbbbbcbacabcbbaabbbbcbabbcbcaaabaaccbaccabacbbcaaccabbacbbccaabcbbbcbbaababccccacccbbbacacacccccbbaccabbcabcbccbbbbbbbbccabcbcbbcaccabcbacaccbbacbbacbbccbabcbbacbbbccaaaacbcabcbbbbaabcccacbaabcacabbbcbccaabcbcaaaccbaaaccaacbbccbaaabaaabaccccbbccaccbbccacacaabccacbbabbacbbbccbbcabccccbacaacccacccbaccbbaaabcaccaababcbcabbaccaaabbacbbaaabbaabcbcbcbcbcbbbbccbbcaacabbcbbcbcabaaababccbaaacbcbbbccccacccbaababcacbbbbccbacacbcabccccaaabccaacbbcccbcbbaaacaacabacacabcaacaccccbabacacbbacbcabcccbcababccccbbacbcccabcbccbbccbbcacaabaccbcccbcbbccbbbacababcbbacaaacbccbaaaaaaacbaababcbbbccbcbaabbcbcbcabbcaaaabbcacacbcccabbbababbbbbaabcaaacbacbbaccbccbabbbbaccccbabcbaabaabaabbcaacaabbabaacaaaaacbabbabcbabcbcababcaabbaaccbbbabacbacbbcbaacccaabcbccbcaabaacbbcccabbbaaaabccbbaabaaacbccabccacaaccbabbcacccccabbbababbaccbcabcabcbcabcbbcccaabcacacbaabcaaabccacccbbabccaabaabbcbacabbbacaabcbbcabbacaacccbacaaaaacbaabaccacacaabbbabaacacacbacccbaacccacbccbbbbabbcbcbccacccaaaaabacccaccbbbcbaaabacccbbaacbcbcbaaccbbbcbbaaaccbabccabcaaaaccaabccccaabaabaaacabcabbacbcbcabbaaaacacbcbaccbbaaabcaccbabbcbcabbcaccbcbcacbbacbbcbbcbabbacccacccbabcabcbabaaabaacabaabbccbababbcbbaaababcbabbacaccaccbabaccbbaacaccacccaaccabaacbccbbcbccccababaaaccbababbbbbcacabbccbbbbabbaaaacbccbbbbcaabcbcbabbacaaccccbacabccbcaccccbacbacbacacbbbcaaccccccabbabaaabcacaccbccbabbcbbaacbbacbaabaccaccbaacccbbacacbcabbcabaabbabcbcaacaacbcbbcbbaaacaacaabcbbabaabacaaccaacccccbccccacccaacaccbaaccbbbbbcabaaabbcabbbcabccabbcaccabccbccbaaacbccabbbaaacaabbbcbcabaccbaaaacbacabbcbbcabbaabccccaacaaaccbacacbcbcbabbcbcccaaacccaacabccccaccbcbcbaccbacbbbcabbcbabacabccccacabababbcabccacabaccabcacabbbabbccaaccbbaccabbacbcbcbbccaaabaaaccaaababaaaabcbbbabcccaabacbbabcbcbbcaacbcbcaaaccacacccbccbbbacacbaacccbbababbcbbccbabbbacbbbaccbccbbcabccacbcababccaacccbbbacbaaaacabbbacccacacbbaacaaabbbcabbacacbcbbccbbaabbbaaacaacacbbbbbccbbcbcccbccbabbacabaaacababccacccbbaccaabbcaccaaaacbacccababaaaabcbaaccaaabbabbbbacbbbcaabaaaaaacbacbbacccccaaababcaaaccbcbcacacbccabbaababbcbbbabbaaabaacabaabcabbcaababababaabaccccbbabbbbcccbaabcbcaaabbcaabccabbbabbbacbcbacacbbabcabacccacbbbcacbcacbabbacbacaaabaababcbccababbaabbbaccabbbccbaaacaaaccabcbbaccbcbaaacacbacaccbcccaacbccbbbccbcbabaabaabbbcacaccabcabcabacbcabacabbccaacccacacaabaabaacabcbbacababbcaacbbbbabcccacbcbcccbcccccbcbcbababccbabbbcbaabbcaabbbbcbabbcccccbaccaaaacbcaacbcbabbcbcbabcabcccbbaacaccccbbaaacccaaacaabccbcbaccbcbabcbaccbabbaaaaaaccbacbcabcccbcccabcbacacccbabacbbbacccbaccabbccbccbcabaaccaccbacacbccbaacbcacacccacbccaaaccaccbbacbacbaaaaacaaaacbbabababbbbaaaababbcbbaacbcbcbaccacaaabbacbcbcbaaabcbcbbbbccbccacbcaabccccbcacaabaccabaaacbacaabaaaabcacbaaaabbbaacabaacbcbabccccacacacaaabcbabccabbbbcaaaacacaacabbcbaaccbbccacaaccaaaaaccbbcabaccaaaacbccbbbbaacacbaabaccccaccaaaabcbcbcbabaaacaacaabcaaabcbaccbbabbbccabababcaccacaacaaabcccacaabccaabbbccabaacbababbbaaaaccabaaaacabbcabaccbbacbbaaaccbacabcccbcaabbcabcccbcccabaaacabccbcbbcbabcaacbccaababcaaaacbcaaccbcaababaccbbaabccbbaabcaaccbcbacacbabbbacbcbaaababcabccacaaaaabbbbaacababbaccaacabcacaacbaaacbcccabbacaabcacbabbacbcbaaabababbcbbaccbacccbbccbacaccbacaababbaaaaccbcbbbbaabacbbacbaacaabbcbbcbbcbbcbcabacabbbcaabacbaacccabcbbcbacccbcabacbacbbccaaaabaacacabcabbbaaabaccbaccaaabcaaacacbbbccaccccacbabbaaaaccaabcbbacacbacabbbbbababbaacabcbacabacaccbbacacbbaabacbcacacbaabbacabbcaaccabcbbacacacacacabaaabaabcbcccbbbabbbcbabcbbacabccbaaacababaababbbbcbabaabcbbaacccbacaabaccbcaaaccccbbacacaaccacbccbabaacaacccbccbbcbacbaabbaaaacabacaaacacaabacbcaaacabaacabcccaabccbbccaccbbaacbbccbbababaaababbcabbbbbacbbcbacbabbabbbaacbbbbbaccaaccbbccccccbacaacccabbaacbaabccbacabcabccbaaaaccccbaacbbabccbbbbcbbbbaaaaaabbccbccbaabacccaababcaabacbaaabcabacbbbbccbccacbcaaaaabaabcababcaabaacbcbbcccaabbccbabbbbbcacaaabcbbbbccacbaaccbbaaacbabbabacacbbbacabbcbabbcababacacacacabbaacaacacaacababababacaaabbcaaacccaaccbccacacaabcbbaccbcccbcacacbaccbabaababaacbaacaabbccbbbbbbacbbbbccabbcbcbcaaaacabbcccacccacbcbcbbbcbaccbcbccbcabcbcccbaabbcaccccaaacbaaabbcabbacbcbbccaacaacaabaccabbcccacbbacaacbbbcaaababcbcbcbaabcbcccbccbbccccaccccbacabbcaaabbabbcbacbcccaababbcbcbcbaabcabbacacaccccbcbbbacbcbbaacabbaabcaabbcccccaabacbbbbaccaaccababccccbaacbaacbcababcabccccacabbcabccaccbccabbabbacbcaacbcaaaacacccbcbbababbcbcbcaaabaccbbbccbacccccaabcacbacabbcabcbcbbcacacbacbccacabaaacbbabccbcbbacbccbcbbaacaacbcacacbaabbbabbacabbccbcabbcabacacacaccbaaccbcaacbacacaccaacabcacbccbccacbaaacaabaaaaabbbbbbacbaaccccacacbacbccbcccbbcbcbcabccbaabccabcbaabbbbbbcccacbbbcbcabccbbacbccccbbbcbcbcacaaabacaabaaaccbacabcbacbcaabbbcbbbacbbccaaaabbbbbccbacaabccaabcbbbcacbbccbbabcbabcccabbccbcbbcbccacccaabbcbbacacaabaabcbcaccbbabbcbacbbbcaaaabcaacbcbabacacbbbabcabacacbacbcbbaccabacacacabcbcaccbaabbbacbccbbacbbbabccbacaabaabcbaacbacaaccbccaabcaccacacacaacbccbcbabcbcbcacbbaccabcabaabaacabbbcacccbccbbbbacacccccbababcccbcbcabaaabbbabbbbaccabcabaacbccbaccbabccbbbbcaccabbabaaabcbcabbabbcccaacbcbbbaacbaaabbcbbabcabaacbacacaaabacaaaabaacbbaabaaababbbcbabcccaacbabaabbbaaacbcbbacacbaacabacbcabccccccbccacaccaccaaccbaccbbaaaaaccacbabcbbacabbabbbbbcbaaacbbbacabbbbccacbcaaacbbcbcacaaacbabaaaaababbbcaccbaabbbaacabacccabccbccbacbbaacbacbccccabcbcccbcbcccbccacccacbcaaabccabbccacabcbabaacbbbbaabaccaacabacababcbabcabaaacaacaacbacbbabbbcbbabbcabaaccacaacbababbaacccccacbcababacaacbcbacbcbabbbbbbbaabbbcbaacbcabbbcccaccccaabcabacaabbaaaaccbaaabaaabccbaabbcbbabcbcbbbbacccaaacbabaccacacacacacccbcaccbacaaccacbbacaccabcbbabcaacbcbbcabcabcbccbacbaababccaabbbccaacababaaaaabbcabcaaacbcaabccccccbabcbccbcaabbcaccbccbabcaaaccaababacbbbccccaabcaababacabbcccaabcbbccabbacabacbccbcabbababbacccccaacabbcabbabababcaccabccbcccbacccabccbaaabababaaaaccabaabccbbabbaaabbbbacaccbaccaabccaacaacccbbabbbbabacccbbcacbabacbabcbcbbaaaaababbbaaacbcbcababbaabbccaaaabcccbabbccbcacbcbabaccaccabcbaaaccacbbabbacbacbbabcabbbbcacbcacbcacbbbaabbbacaacacbbaacbbbabacaaaabcccaabccccbabbaccbbccccacabaaaabaacabbbcaccbcaaabccbcbcbcccccaacacccbcabbabcbbabbacacccccccccbcaabcacabbbabcbccbacccbcbbbcccbbcbbabcabcacbaacabbaaabcccbacaaabaacabbbbacaababbabccbccbbbbbbcbbcbcbbaaabbbcaaccaacbcbaccbacaaabcccaaaacccbaacbbabaacaacbbccbcaccbbcacbccacaccbaacabcbaaacccaabacbccbacababaaaabbacbbbccbaabbbbacbaaccaabbccbabcbcbbbcbbabbacbcaaaccccacbacbccabbcaabccaacccbaaacbacaccaacaababaacacbbcbaccbababaabccccacbbacabcccbcabbccbabcaabcbbcbcacbbbcbccbbbabbbcbacaabacccccacbbacbbcaaabbabcaaaabacaabcccbaaccbaabbabaacabacbbbcbccbaaabcaccacbabbcbbaaabcaccccababccacbacbbaabcbbcbaaabbcacbbaabababbacccaccaabbcbbbbabcbaccbbaaacababbacaaccbbacbabbcbcbccccbaababbbccbbbcbbbcbbbccabacbcbaabcccbaccacccccbabcbbacbabbcbbcaaacaaaacbacbbcbbcaccbcbcccabcaabbaaabacacbcbccababaabccaaabacbaaacaccabbabccabbaaabaaabbacbaacbbabaaaaaaaacaaccbbabbacccbbcaccbcbaacbabcaabbcacabcbcacbacaacbbaacbbccaacccbcaccbbbbaacacabaacccababaaaabcacbbbcbbbcbbcacabccbccbabbbbaaaacbacabccbabbaaabbccbccbaaabcbaabacbcabcbbccaacacaaccababbbccabbbbcabacccaacbcbaabaaacaacbacbcaccacababbcbbcabbbcbaacaccccccbbaacacbccccbababaacaabcccccacaaaabaacaabbcacabacbabbcabaaabcbcacbcccacaabbaabbbbaacccacbbccbbaacbcbabbacaaabbaacccbcabccaaccbacbccbbbaacccaccbcbaabbccbbbbacbaacbbbcccccabbaabcacacbcccaccabcabccacaabbcababcbabaabbacabbcacbbabaaaacacaccbbabbccbcabccbcbbaacbaaaabacacbacbacabbabcabaaccccbcabcabbaabbaabcaabbbbabababbbccaccbcabacbccaabcbcccaababcccbabbcbbaabaccbcaabacbbaacabcaaccbabbbcaaacaaccbccbcbbbbcccbcaccacaabaacacbcacbbacabbacbccabaabaaacbcccbaacaaabcbcaaccbbaaacabccaaababbcacbbacbccbcaacbcbccabcaaaabbaabaacababcacbccbccccaaabcccaaabcaccacaacacacaaaaabacccbcabaabacbbbcbbababbbcabbcbcbbbabbbcbbaaabccbabbbbccbbbcccccacccacccabbbcabcacbbcaaacabaaaccbabaaabbbcbabbbbabababbbcbaaabbaacaacbcaabbabaaaacbbabbccabacccabaacbbccbcbbbbabaccbacaabcacbccabcaaabcbbacccbccbbcacbabcbaabbccccbacbcbbccaaabbcbcbccbccbbababcaccaaabbaccacaaccbacbbbcabbcabcccbaaaccaabbbbacccbcbbcbacaacbcbcbaaaacbabcbbbabaaacbacbaabccaacbcacabcbacbbbaccabbabaccbcbbaacaacabbccbcbaccbabcaabaccbacbaccacacaccababccabacaacaaabcacabbbbbcbbabcbccacaaccbbaccabcbbcbaccccabcbabcbcbbbcbcbcbbbbbcabbbccbcbbabccababcbcbbabaacabacaacbcababaabbabaabbcbaccabccbacaabbcbcaacbababbccccbbcbaccacababccabcababccbaccacbccabcbaacbaaabcbcabcccbabcacbcbccaaaaaababcbccbcaacaabccbbbaaaabcabaaaabcbbbcbcbcabbcacaccaacabaacaacabbccacaabbcccacaccbcbabaaaacbbaacbbaacaabbcbcccbaaaccccbbacabbaabcabaaacaabccabbccbbcbbcaacbababbbabbccaacbbcabcbbacaaaaaccacccaccabaacbbbaacbbcbababcbaacbbcaabbaaaacbabccbbaaccbaababcacbaaacabbbcaccbbbbcbcabcbcacbbbbbbbcbcbcbaacaaabcccbcaccbcabaabaccabbacaccbcbacaaccbcaacccbbccacbcbababbacbccbaaccaacabacaabbbbbabcabbaaacbaabcacccaaccacabbbcccbcbaaacbacbaaaaaacbcaacbcbbcccbaccbbaababaaccabccbbccbbcacabcabacbbacabaacaccaaabcacccacbbcccababcbaacbbbaaabbbbabcaccabcccccaccbcbacccacaacbcababaacbcabcbbabccbbbbcbbbabcbbaaabababcacbbbbbacbaaaabccabbcaaaccababaccabbaacacccaabaaabbaaabcaccacbabacbcbbbcccacbbbccbacbccacacabbcabccbbbabccbbcacccaababcaabbcabaccbaaacbaabbccaabcbbcababacabbbbcbabbbcccbbcccaaabcccbccbbbbbbcaaccbababbabcccbcaaacaabbcbbcbabcbbacccaabbccaabccacbbababaacbaabbcbbbcacccbccbbbccaaccbbccabcabccaaacaaccaccacbbaccaccacbbbbbabacbcccbcaaaabbabccacbbaaaabbabcbcbaaccccccabbcbbbabccaaaabcacabcabbaaaaaaabcbbcacacaaccbccbccccccaaaaccbbacbaabbabababaccaabacabbbbbccbaacabbcbbbcacbaccbcbbbabbcacaccacaabacaaaaccaacbcbabcaccacbabbccacbcbaaaaabbbacaaabbbbbccbccaaabcaabcaacbcacccabacabbbbbabccbbcacbabacbccccaabbacaabbabbbbbabbbccccbbcccbcababaabbbbccbbcabbbcabbcbbaaccababaaaabbaabcbcbaccbaaaacaabcaccacccbcaacbabacccaaaaabacbacabbcbcccacabbbaacbcccaaabbbbcacbcbcaaaaaacbccacbbcbcbcbccbbbabbbcccccaacbbcbacabbaabbcbcbbcabbaacbcbaaccababbbcbacaaaacbccbcbbcccbbabbabbbcbccabbbbaabcbacacbcbaccbcccaacbaccccabccaabababbaabbcbbbacaabbacbaacbbacbaabaacbbacaaababbbccaaccbabbbabcbabcacbabaacbccacccccbaaababbabbcabcbbcacbabcbabbcabccbbaabbbbbcabbaaabccbcaccbaababbbcbacbabbbcaccccabaccbbbbababcaacbabcccbcbabacaabbcabacbaaaaccbbacacaabaccaaaaaaabbabaaacacaaaacbbccbabbbbaccaabcbcabaabaaabbcabbaaacabcaabbbcacbcbccbccccacbabbccccbbbbaaabccaaccbbcbcbcbabcbcbabbcccbbbbabbcabccaacbabcbabcaccacbcabaaccccccbccaacbaccabbbaaccaacabcaaababacbbacccbcbbcbacaabababcacbabaccacabbcbcbcbaaccabcbcbbbbbbccaabbcabcbcccbbaaccbbabcbaccbacacbcaccacaccacbcbabbccbbbcabccaaaacaabcbbbcaccccaaaaaacabbbacabaabbcacbccbbccacabaaabcbbcbcabcaababccbcbccaaccaacbbacbcaccbacbaacbabbaabbbcabcaacabbbacccaaaaccccabaaccacbccabbabcbacbcbcbbbaaabcbbbcbcabccccacbbacaccccabccccbcaccabcbcbaabccacbacababaccaacbbabbbaaccacbbbcabbcabaaacbbbcbccbbbccbbabcacbbbcacbbababaaaccccabaaabaaaaccbaacbcacabcacbaacacacbbbccbaabcccaaccbbccaabaaacccbcbbbacbcccaaabbbbcaacbcaaccbccccacaccabaaabccccbacbcbbcaabcbcbbaaccaabbbccbaaabbabcbcababacaabaacaaabaabbcbbacbbbaabcbccccccabaacccbabcabacaccabaacbabcabbcbbccaaacbaccaaabcbbcaaacacbaabcbcaaaacaccbbbbcacbccbcbaabcaacccccabbaaaaccbccbccbbcbacababacccbcacbaabbbcbcbcbbbaaccccacbcacabaaabcbaaaacacabbbcabbcabcbbbbabcabcacaccccbbabbbabbcaabcabcbbbbcaacbcbabaaabbbbbaacbbcbbbababacbcaaabcaacbcbaacaacbbbcabababcccababaaabbbbcccbcbcbccbcbcaabaabaacbbcbaabbbbcccabbcbcbaaccbcaabbbaacbcacbcbaacccbbcbabbaaccccbbbbbaaacbbacbacbbbbbbaccbacaabcabbacbcbaabcabbbcbacabacbabbabcacbabcbcabbaabbbbccccaabaaccabbbaacabaaaccbabbbcabccacaccbaabaacbbabbcbcaabbaccababacccbaaaacaabcccccaaaacccbcbabbaacacaaabccaaababcbcbabbacabaabbacaaaabbcabccabbbabbbbbacbbabababacccccbccbacbbcbbacccababcabccbbabcbacbbaacabbbbaaababcaaacaaaccaaccabbacbabccbbcaacccacccbbcbaabcaaabbacbcbbacccacabaaccacbcbbbbacabbccacacacabbcbaabacbbcccabbabbcbcccbcaacbccbacbaaacaabaacbbbcbabccbbaabbabbaacbcbbcacbbbccacabbcaaccabaaabcbacccccbcaccaccccacabaccccaaacaaccbbccbbbabccbaacacaaacacacacaccbabaccccbabcabacabcbcbccabbcbcbccaccccbccbcacacbbabbcbabbabaaccbcbccbbabcbbaaccbbaaacbacbbacbbcbcbccaacababbccabbbcbcaaaccbbaacabacaabcabbcbbcaccaccaaacbcbabacabcbcaccbcbabcbaaabccbabcbcaaaccabbacaacabacbbaaacbccacabbaacbbacaaacbbcbaaacaabaacabccbacaccbabcbcabbaaabbbacbabbcbbbaabccacbaaacacaacaaaacaccbabbaccabcccbbacccbbaabbabbbacbcaccaabaabcabbbcbbccbbbbbbabaaabbbaabcbabcbcacbbaabcccaaacccaaaacccbabaabcccacacacabaccbacbcccabbbbcbacacacabbbbcaccacaaacaababbacbbcaaabcaccccbbacbcacbcccbacacbccccaacabbabbabcabaaabccabccccbabccaaccccaabbbaacccccabcaacaacccaacbbabccccabcaababccbcacabcccbabaccbaaaaabbbcaabcacccabbbbabaccabacacacccccabcacabccbccbbbabccbccacbccbabababaacbabbaabcbccbbbacaaaacacccccacacbbbaaabacabbaacccccbacccbbaccacbabcbbcbacbacbbcacbabbabbacbcaaacbacacbbabbbcbbcacacbbabacaccbcaaccabcbcbbabbaabcbcbcacacbcccabbabbaabbbabbcabbcaababcacbbcacaaaacacbbbbcbbacbacccabbbbcbbcacabccbabacbccbbccbcbbcbbbbcccbbabcacbabcaccccaabbcbbabacbcbbabccbbcacabbcbacbccbbabbbbcccccccbacbaaccccaccbbacacacbccbcaabaaacacccacabcaabcbbbccccbbacbbacccccaaccaccccabcbaaccabaaccacbbbaabbaabcbccbabaaaccbaccbabccaacbacaacccbbbabbcaacabacbaccccbabbaccbabccbcbbcccccccbbaacbbbaaccacbbbccbcbcbbbbcbccbacbbbacacbcbbbaacbacbcbacbbcaaabbabbbccbabaababbabcbbbcccabbbabcabbbcbbcccaabbcbcbbbbcabcbbccccabcabbbbacaaabbacccbabcaccbabcbcabaabcaabbcccacbacccbccbbbbaaabaaacbabccababbccbabbabacabaaaacbccccbaaacaccbcbaaaccbaaacaaabbccaaaccaaccbccbacaacacbbaccaacacabcbcccbbacccbabcacbccabbbbbbcabbbacbbcaacbbbbaabcacabcabbaababbbbcccbbabacaaacbbbcacacccbacccccbcabcbbaccacacccbbaacaaabccaccbbbcbcbcbaaccaaabbbcbabbcbbabcaacccaabbaaaaabcbcccbcbcbbcaccbbbabbbcccccababbbbabaacaccbaacbacbcccaaccbabcaacbaccbabaacbacabaabacbccccbcbaaabbcbccaccaacababbcbcabacbcabacbbacaccbbbccbbbbbbcabaacbbbbbacacacccabbbcaabbbaabcabaabbbabcbaaaaaacaaacbaacbbbaabbbbbbaccbcbcabbaacabcbbbabcbacabcacaaabaaacbaaccbcacabcaacaccccacbbbbacababbbccbacbbccbccbbbccacacbaabacbaabbaabcacbcaacaccbcaaccabababacaaacbcbababcabacabbbbbccaaacbbbacbbaabaabbbbccbabacbccccbacbbbccabbbcabbbcaabaabcacbcaabcabaacaaccabbcbcaaabaaccbabcaaabbcbccccbbaccbacacbcabcbcbcaacbbaacccabbabbcccbccbbbaabacaccaaccabbaacccbbcbbababababbacccbacbabaccbbbbbcaacbcabcbcbcabbacaacaccbbbcccabcaccacbcbbaaaaabbacbbaaaabbaabbbcbbccccacabbaacbabcababbbababbabaaaababcbcaaaacbaabaababcbbacacbabaccbaccbcccbbbccaabcbbcaaabbaacbcaabcccccababaaaacabacbcaaabbbbabccacccbabbacabbabccaacbacaacbbbacabaccbbcbabcaccbacabbbacbaccbaccbcabccbcacbbacbccaaaacaaccaaaabcbbbbbacbbccacabccbabcbcabaaccccbbacbccbcaababcaaababbbccbcabbacbababcabbaccbbbaabaacbbcabcbcacabbaccaccccbccbcbcbabccabcaccbbcccbaaacabbcaaacabbabcccbababbaacbbaaacaabcacaabcbcbaabaababbbcccabcacbaacbaacaccbacbaabbaacaabcbcaaabacbaabcacabcaaaababccbacacaccbbaaaabbcbaabbbababacbacbcbabcbaaabbacaaccbcacbcabcbcacbabbcbcaabcbacaccaaccccacbbcaccbacbbbccccabcbbaccbbacccaacbbcaaccaaabccbbcabcbccabcbabcccbabccbbabbbcabcccbbcaccccabccbcccccacaccbcbaccbabaacacccacabccbbcbbcbbcbbacbccbacaacbacbbbbbbcaabaacccaaccabcbcccbababcccbacbbcaacbcbbccacbacccaccbcaabbacbcaacaaccaaacaacaccbabbbcbababccbbababacabaacacbabaaaabbbbbaaaacaaccbbabcaaaabacbcbaabccabcbacabaccababbbaccbbbccaaaccccbcbbcacbabcbabcaccaaacbacccbbacabcaabaccccaaabbbabbaaccaaaccbacabbcbbcccbccaabbcbccaccbcccaabccbbacabcaccbaababccccabbacbbaacaccbabbccacabbcbaacbccacacbaccabcacbbaccaabccaabcbccaaacbbbbcbbccbbbcabbbbbcbcbccccbbabacabcbaabcabcacbcbabaacbbccbcacbacbbabbbbaacbbabbabaaaaccabbbababcbbaccacacbccbaacabbccbccccbcabaccaccabbbaabbccabcbbcccaaaabbbaaabbbaaccbaaaacabbbbbccaccacaaccacbacbcababcbabccbcabacbabcccbbccabbcaccbabbbcbbbcbabbcccbaaacacacacabcccaaacbaacbbbbbcabacbacccabaacbabaacbbbacabaccacbcabbcbbcbcaaaccacbbaaaccacacbccbacaacacabcacaccccaabbbabbcaaaccaccaacacacaabacacbcaccbcbcbaacccabbbcabacabccaabbccccbccbccaacbbacbcbcacbcbbccabbacacbcbbcaccbccccbbcbacccbbbbccbccaaabbaaaccacbacababcbbacbbbcccacaabcbcccaabcbaccbcabccbaaaabbacccabbbcaabbbccbbabbccbbaacabccabccbcacaaaabbacbaccbaacbabbcacbaabbbbcabbcabbbbbaabccbbbbabaccbbaacccabcbcabaaaacccabbbbbaaacbcacbbaaacbccabccbabcbaabbaaaaabbcaccacabcbbaacabbcabbcbaaaaccbbacbbbabaaacabcbababaabacbbabaabcbaaccbabaaaabccaababacbbacaccacacbaccababacbbaaaccacccabbaccbacbcbaacbbcbabbbbabbbcaacbcaccaacabacbcbbaaacbbbcababbbbabacabbbbbcbabbbccbacabbaaacbbcccccbaabababaaaacaaccacabcbaacbcacbbcabbaacabbacaccbabbabccccabcaabccbcbaccbcabccaccccbcbcbcccacabcabccabacbcbacbbbacbcaccbcabbcabbabaaabaacababbababaacbaaabcbbacabbabcbaabbabcbbbbaaabaabbbbbbcbcccaacccbbbbbccaaacbbcaaccbaaaccbaabaaabcbaabbbacaabcaacabaabbbbabbcbabbbcaacbcbbcaabbcbababcacaabcbbaacabbbccccaccaaabcbcbbcbaaabaaabbcbcacbbbbcbbbaabcbbaaccaacaaccacbbaacccaaccbbacbbccaccbaaaaaaaaaaacbbcccaaaabbcbbccbbabbaacaaccccbbcaaabbbaccbbccbbccbbbcbaaabbccbcabcbaaacabbbaacabacabacacabbcccbacabbbbbbabbbcccbcccccaabcbbccacbcaccaabbcccbcbcaccbbaaccacbccbcbabbcbbcbcababacaacbabbabaabacccbaaccacacbabaccaacaaabcabacabcccaacacacacabaaccabccbaababcabbbaababacbcbbbbabcaaccbbbcacbbababcbcccabcccabbbaaaaaacacaabcaaaccaacbccaacccbabcaaccaabbcbbbaaaccbaaabbcccccabccabbbaacaaaacbcabbbbaaaaabacbaaacbccbccccbbacbaabbcbbaabcabbcabbccacbaabacbacbacaacccbbbcaaabaacbacccbcacbbaaccaccbcaaabcbcbcbcbccbbaccbbcbcbbccbabbcbcbbbbbcbbcccbbbbbacbabbbbcabbaaabacbabbbaaacccbcaccacbcabacacaaccbbbaabbaccbcbabccccacaaacccbaaabccbbabcbbccacaaabbaacaaacbcbccccacbbcacaaabcabcaccacbbabbcbbbabbccabbabbaaacbaaaacacccbcbbbcaaaaabbaaccbabccbccaabaaabaccacbbababbacacacaacbaacaacbabcbacccbbcabacaacbbccabbbbaacabccbaccbccbcbabcbbbaabacbabcacbccbccbccbacaacbcbccbccbcccccbcaabcccaacbcaabacaaabccbcbcabbcaacccbabbbbcaabcacccabbacbaabbcaacbcbabcaaacaabcbbaabcaaccacacbbababcbcacacbcaccbbcccacbbacbaabccaaaabacbaabccbbacbacbccaabbabaaaacccbcbabbaaabcbbbbcaacaaacbbaabaabcbcbbbccbbababbbccbcbbbcbbbcaacbbbcbabcacbacbbbcbbabbbccaacbacabccabccbacbbaacbbacabbbccccbbbccaccccaccabcbcaaaccacbbcababbcbcabaccabbacaacbbbcbbcaaabaccabcccaaacbcbcbbcbcccaaaaacabaabcaabbcbbaccaaccabaacbabcacaabcabcbabcabbcccbabacbabcbcacbbccabbcbbcaabbacbcaacabcaabccbbbcacccaaaacbbcccacbabccbbbabcbcbbcbbbaabaabcbbbcbcbacbccbbbcabcbacbcbabccccbcbcbccbbcbbcabcbcabbccbbbacccbaaabacbbaccccbcacccabcaacbbababacbaabbbbbaccbcccabaaaabaaaabbcbbbbacbaaacaacbbcbacaccccacbcbbbbbbcccccccbccaaabccabcaaaccbacaaabbccacccabbaaccbbcaaabcbcbbcaabaccabaaabcaaacabcabaaccbcccabcbbabbbaacacbbbcbabaabababcbaabacabbcbcbcbbaccbacbacbcccacbabcabcaccbacccccccabbbbacbbcabcacabbbaabccbcbbaaabbbcbabacccccbbcbbcbbacbbbaacabbbcbbbbabcaacabacbbbbbccabbbbcbbaabacacabaaccbacaaaaabccabbcbcbabcccbcaaccaabccbaabbabbaacbbcccbabbbaccbabbababbababcabbcbaabccaaababbbbcbbbbbacccaabbbbbcaaaabccaaacbaabbbcccccabcacbcbbcabacacbccbaaccabcbaacbcccbbaaacabbcbcccbbacbaaabaaacabbbbcbcaabacccbbcabcbcbabacbccaccbbbbcaabcacbbbaabcbcbbbbbacccacabacaaabababacacbbbcaabbcbbacbbbcabacaacaccabcccabacccaabccabcabacabaccacaaccaccbbaaccbabcaaaaabcabaaaabccccbcabcaababccbabcaabbccbcaaaccaaabaccbaaccbccabcbaabaacaaaacbcabcaccaacabababbabbcaccccbbbaacabbaacbbbcacbbacaccbccccacabbacacabbaaaccabbbaaccbbbcacbababbbbabcbcabbbaabaaccaccbcaacbcabacaaaabacbccbaccabaccccaccbcabaaaaabaaccbaabbbacbccbcbaabaaaacabcaaaaaabacbbccbbacbbbccacbcbaccbcabccaacccabccccccbbbabcccccacbbaccbaaabbbcaabbabbccccacccccabbabbbaabbabbcabbccccabccacccababacacaacacccacbabacccabcbccbbcaccaaaabbbbbcbaacbcbabcabbbbaaacabacabcbbacaacbaaccbabbbacccacbababacbbbabcabcaccaaabbcbabbbcccacaaccaacccbababaaaacbbacabcabcbbabcbabababbaccbbabbbcbcacaabaaaacaaacabaccaabcbcacccbacaabbbcbacbabbbbbacbaaaabccccabbbaacbcbabcbaabccabcbcacccbbacaabcabababccaaacabccabbacacaabbcbabbbacccbbbcbcbbbcbbaabcbacbbccbacacaaaabbcabbbccaccbbbcccbbaabbcbbbbaabcbcbabbcaaaccacbcccbcbaccbaacababbbccccbaacaccacbbaccbcaaabacabbbbccbccccccacbbcbcbcaaabcacaabcbabcacccacbbcacbbcaacaccabaaaabccaacabbbaccabaaacacccbaacaccbbaaacbbaabaabbbbcbbabbbaacbbbaaabcbcabcbbbabaaccccaccababbbaacccaabbaccaacabaaaacbcbbacacbacccccabccbaaccccbbaaabbacbaacabccbaccaacaaacbbbaaaabbbbcaabacbcbbcacccbbabcaacccacabcccbcabcabbcbcccbbaaacbcacbabbabcabbbbbcabbbbcaacaabacbccccacbacaabbbacaabcbcbcabbabacccbbbbabaabcaccccacaababbbacabcccacbcaccacbcbbacaccbaabbccacbcccccbacaacabacaabbbcbabbabccaccabbbaabacabbabbccbbcccbbbccbcacabaaababaabacbcbccababacbabbcccbbcacaaaabbbbbbbabaacbcbcabcbaabccaaccccaacbcbaabcabcbcacacaabcabbbbabaccbcacacccbbaacacbabbbcccaabaaccacbaacacbaabcccbaaaccaabbcacabcbccbccaaaacbcccabcbbaaaccaacababbccbacaccbcbbaaccaabcaaabaacbabbcbbbcbacaccbabbbbabbcaccacaacaabacbcbacbabbbccbbabbaabcbaacbcccbabbcccbaaacbbaabacbbcbbaabccbbbbbbbaabaccbbaacabbaabbcaaacbbcbccacaaccbcccbaabcacbabbccbcbcbbcbcbcbaaabacbbbbaaabbacbcaaaabbbcbbcabccabbabbccccbccabcbbcaccbcbccbcbcacbccabbabbcccabcccaccbacbbacababcbacbccbbaabcaaabacacacacaaacccacabacaccacacaccabcaacccabcaccabcbbcccabbbacbccbccaacbcaccabcaacacbacabaacbabacabbbbabccbaabcbaababbccbbabbbcccbcacbcabaabbcabbbbaacacacacbaaccbccbcbcabbcccbbacbcacccbccbcbcaccbccbacaabcbabbbcbbcbaacaaaaaaaabaccbbccbbccaaacccacabbaccbabaaaacaaaaacbcabaaaabbbaccabaabcacbccacbababcccacbcbbcacaacbabacccccaacccbcbccabbaaaaccccbccabcbabbcbbcacaaaabbcbbbaaabbccacbaacbbbbbababcbabacbabacaabcaaabbcaacacccbcacccbcbacbccabbbcbbabcbbbcccaabccacbbcabaabbbabbbcbcbcaccacbcbcabbbacbbaaccbbbababcababaaaacbacacabcabcacbaacbaabcabbacaaaaccacbaccbaacccbcbbacaacbbaccbccbaccaacbbacabcbcaacccbbcbbbcabacacaabbbbbcccbbbabcbbccbcbaaabcbacabbbbcbbbabcacabcccbbcbcbacacaababaaccacbaaaccbbcbbabbcaaacabcaacbcccacaccaabaccaabaccccbacccbccbaabcbccbcaacaacaabcabccacacbaccbababcabbabbcbcccaabcaababaacccbacabacabcabbbcbbaaccaabbcaacccbcbcacaaaaacbaabacbcacccbacacbcccacbbcbbaaaaccbbababccbcccbacccbbaaabacabcccccaccbbacabbccccaccccbbcccbccbcaabbabbaaccaacbaaacbcabccbabacbbabaaccbacccbcabcbccccacaacaabacaaabaaccbababaacaacccbccabbcbcccaaaccabacbcacbcaabacacabaaababbcbacbcacbbbcbbccbbacbccaaccbcccbcababcacacaababbcbabacbabbaccbaaccbacabcbaaacbaabaaabaacbaaacaabbccabbccaaabbacccabacabcbcaaabcbcbcbcacbcbaaaabbacbcbaaacacbccabbccaaabaacbbbccbaababccabbabbaccbaaabccbcabbcbbbcacccbaaacbcabbbbccbccccbcccacccbabaabcbcacaacaccbabcaabcbaccbacbabacaaabbccbacbcabbcaaaaabbbaaabaccbccbaabbacbbaacbabccbbaabbcbcbbccbccccabccabaaacbacabbabbbcbcccababbcbcbbbcabaacacbababaacacabccaacaabbaaaacccccbabaabcacabacbcbaabacacababbaaabacacbbcbcbcbbcaacbaaccaacbcaccbbbabcaacacabbcbbccbacacacbcabcbccbabbaabaabccaccbaaccbccbbcbcabccbbbacacacbcccbbcacbbaabcbbcbcacbbcaabaccabbcaacbacacbbcaccbcbbcbbcbabbccabbcacbccbcabacabbaacacabbcacabccaacccacccccccabccaabccaabbbcbaccbbbbbacabbcbcabacbccbcbbacaaaabacaccacbbaacacbbacccbbacbccbacbcbcacaccaaaacccccbcaaccababacacbbbbccabacbbcccbcabcbbcaacabcccabcabaacbaabbcbbcbabbcccaaccbcccbcbbaaccbaaabbcaacccbacbbabcacbbbacabaacaaccabcabaacbabbbcbaaaabbaabbcbbcabcacbabaacacbbccccaacbcbcbbcbcababccabbbacbbbbabccbcbcaccabbabbacbcbccabbcaabcccbcacbaccbbbaabccbccbccbccabcccaccbbcacacaccacababaccbcabbcbababbbcbbabcacbacbcbaacaccacaaccbbacababcbbbbbacbabbabcbcabbbbaaabbccccbaabcaabcbbcbcaacccabbbccabcbccacbbccabcccaabcbacbbcaaccbcaccccaccbbbbabaaabbaccacbcaaaccccbabbbbabcccbcacbcbccacbccaacbbacaccbcbcbabacaabcbccabccaabcbcbbccacbaabacaaaabaaababbcababcabababccaaaabaabbcbacacabacbcaaaaccbcbcbbbbbacbcccccccaaccaabacaccbcaaccbacccbabbbabbabcccbcccccbaccbcbabbcbcbcbbaacccaccaabcacbbcabbacccbcaaabccbbbccabaacbaacbcbcbaaabcacabababbbbcbbbcaccbcaccbcbaaabbabbacabbbbbbcbccacbaaabbccbbcacacbabaabcbabbacbcabbaababaacccbccaaaabccacbcccacccbcbaaacbbbccbcabbbbabbaaabcccccbbcbcacacbacaacacabcbbccaaabbaaccbcaaaacabbbccacacccbbbacaabbbacaaabcaababbaabbcbcbbccacabbbbccabcbcbbcaccbbbaababbaacccccaaacaaaabbbbcccacbcbbbcbbbaaaabaaacbbcbbaaabcaccaaacbaaccbcabcabbccabacbcbaabcaabaccbcacabacabbbcbcaccaccbaababcbbbabacbccacbabcabccaacbabbbbbbabacabbbbaacacababaabaabcbbcaacbaabacaccbbcaaaaacaacbacbaccaccaabcbacabcbbbabcbaacbbbbbccaccaaabbbbabacaaacbbaacbacbbccbcbaabccaccbacbcaaaaccccbabbbaaaaaacbabbaccbcacbabbaabaabbacbbabcbbacbbaababbaaaaaccaaacaaacccbcbbcbcbbabbaaacbccccbbbcaaccccbaaabcacbbbababbacbaccaccbcbcbbcccccbbacbcccabcabbbbbbabcbcacaacccbabaaaabcaabbabbabcaacaacacaacbcabacbbaabcccbabcabbccccccbabcccacbcbcbaaaaabcccacacccbcbabbccabacbbbccabccbbabacbacbbacbcaaabaccacacaabcabccacacabbaccabbccccacaacacccabbaaaaabbcabccbbbaabcbccbccbbabccccbacccbcbababcbcababaabccaaccbbbacbbbbbbcbcccbccacabccaabaaccbabacbcbbcbabbaacbaaacbabbbababbbabcacbccabbbabacaacbacbcbabbacbcaccaacccacbbccacacaccbcbcbccbcbcbcccaaccbbbcccbaccacacbbcaccaabcccbcabcbbcabaccabbcbcbbccbbcbacabcbccabcabbbaabbbbcbacacacccbcaacbbcbacaabccbcaaacabcbcccaabaabbbcabbaabbaaaabcbbacbaabccbabcacacbbaabbcccbbccbabaaccbaabbcaccbccbbababcbababbbaacbbccbcabccbbabbcabcabbabacaacbbcbccbbcacaaccabcabcaccbccbcbcabbcabaccbacabcabbcbacabcaaabbaacabbbabcbaccccabccbbcaccaccbbabaacbbacababbbcaabccccccaabababbbccccccbacbacabcaabaacbabaacbccbcabccaabcacabacaabacbabcbabbbccabbbbbcccacacbaccbacabbbcbaaaabcbcacbcbaacbcaccaccbabbacaabcaacababccbacaccaaccaabcabbaaabbaccbabcaaabcaaaacaaccccbcbacccababbbbbccccbbacccaccbbaccbcabcbcacaabaabaaccabcbbbacbaacbcabbaccbcaaaccaabbaabbbccbbbbccbcbcbacabbabbbcabaacabbaabccbcccbaacaabacacccbcccbcaaacaacccccacccababbcbcacacaabbcbaabaabbbbbbabbbcaccccabcaaaacaccaabccccccaabcbabbaaccaaaccbcbacabcabccaccaaacbbcbabbbacaaabcacacabaccaaaababcccbbbaacbbabaaacbaabbcaaaababcbccabbbccabcbabcacccbbcacaacbbabbbcbccbbcbcaabcabcabacabbbabaaaabbccababbbbabbcbacaaccbabccbcbcbbbacacabbccbabaccbaacbaacccabcbababaccacacaabaabbaccbbcaccabacaacbaacaabbbccaaaccabaaaaaabacaccbbcbaccccbccbcbcaaccabccaacbcabbcccccbbbccbcbbbcbbbabbcccbcccababccccccccbcbbbbaacbcccabacbccaabababbbbbaabacbabcaaacbbbaaabcabcaaacbaccbbbbbaabbccbbaacaacccbabcabbbcccbabaacacaaabccaaccbcabbbbbcabcbcbbbcbacccbacbaaccacccaabccacbaaacaaaacaacacaaacacacbcbaacabbaacccaabccaaacbcbccbaccaacacbcbcacacaccccaccabcbcccbcaacbccbbaabccbaabaaaabbbccababcaccbacccbbbabbaaabaccabaabcacccacbaacbcaacbcbaccccbaabcbacbbaccbcbccbcbacaccabbccacccabcababbaaabbccccabcbabccccaabcabcbcaaaaaaacacbbcbbbcbaaaacabbaabacacbbabbccaacaabccabbaaaabbbbbcccaaabbacacbbabcaabacbabbacacbaccacbaaabcacbbbaccbabaccabcbaacaacbbbcabbcbbbbbabaaabcabacccbbcaabcbcbccbaabbbacabbabbcbccbccaabcbbacbabbcccaacbbcbccabcbbcabbcabaccacaabcbccbaccbbcabaaccbaabaacbcacabcbacbcaccabbcbbcacbbbacbaacccccbaacbcbacacacbccaabcaabaabacabcccbcaaaacaaaabbcbbcbbbcaaccbcbacabcbbabbbbacacbabbcaaaccacbaacabbaccacaabccabbabbbacbacbcbccaacbcacaaccbaccabcccaaccbaccbabccbbbccacbccbccaaaabcaaaccbaacbbbcbbbcccbabbaacbbcbabbabbbabcbbacbccbbabbaacaacbabbbacababaacbbcabbcbcabcbbabbcaccacabcccaaaccbccacaabbcabbacacaaacbabcbaaccababaaaaaccbccccbcacaacabbcacacccccccabcacccbbbaabcbcccabbbcaabbabbcaabbbcbabbcccbbccaaacbbbbabbbcccbbbaabcccaaaaccbcaaacbabcbabaccbbaccbccbccccccbaabbcaaccbacbcccaabbaaacbcbbbbacbcbccbaaccacbcccacaaacbccbbcaccbaaacabcabbbaaaaabcbbcbbbccabaabaaaabcabbaaacabbbaabcccaccabcacbbbbcacaacabcccaabacaccaacbccbabbabccccabbbaccaaacaaabbbbabbcbacbcacbbabcbbabaabbacacabcaabaacbccbccbaacaabcbccbbbcbbabacaabcccbbacbccabaccbacacacbbbcabacabbbbcbaacabaaacababcbbccaabcaaabbacaabcbbcacccbbacbcbcbbbaacacbbbaccacacbbbaccccbacccaaabaacacbaabacbccababacabcaaaaaaabbcccbacaaaacbccbaaabcaacaccbaccacabacabaacacabcbabcbcabccacaaccabacababcbbbabbbabcccabbbacabccbaaaaaaabcbbccababccabaccbccbaaaababcbbcbbbcaabaccbacaabcbbbbbaccbaacbcacaaacccaacbacbaacaaccbbbcbacbacbbccbaaabccbccaaacbaabaacbbbbbabbabbcacabbbaaacacbaacbabccbbcabcbacccaacbcbcaccacbacbccacbccabaaaaccaabbccbbccccabbacaaccaaacbacabccabacaabcacabbbbcacccbbbbbaabcbaacbbbcacbacbabcacabcbcbaaacbbbbbcbcacbcbbacaacbbbcbcababbbbcbababacbcbacaabbcbcccccaacbcbacaaccbcbabcacbabacbcccacbbabbaccaabbbabaaacbbcbabbcaacacabbaacabbbbbabcccccbcbaaacaaabbaaccbcacaacccbbaacacccabbbababaacabbabcabbbcababbcabaacbabccabbacbbaabacbaabcccbbbccaacaacabccbbacccbacaccccbcbbcacccaacbcabcbccaabccaaaaaccbcbaccacbccbbbbaaaacabbccbcbbbbcbbcbbcacbcccaaacaccbbcacaccacaabaabbabbccbcacccbacbbabaccccbcabcabcaabcbbacbbbcaaacaacaacbbccaccabacbcacbccbaaabccbbbaaacabacaacbbabbbccacbcacbccabbcabbbbcacabaaabacbccbaaaaaaacccbacabcbbabcacccaacbcaaccaaccbbaaccbbbcbaaaaccacababaaccbaaabbccbccccacccaabccccbcbbacbaabbbabccbacacccbcacbcacbacccbcaacbbbabcaaccbcaabcbabacccaacabbcacccccaccababbacaaaaabaccacababcbbabbabbcbcbbcaaabccbabbaaaacbbacbabaacaacaacababbacbaaaaabbbaaabbacabbbbacabbbcabaacaccbabaabbccccacabbacbbccbbcbcacccaabcbbabccabcccbcbccbcbaabbcaaccaccaacbcacbabbcbcbcbbabbcaabcbbacbcccccaabcabaccbbaabccccbccaccaaccaabcbcbbbaabcbbbacccbaabcbbbbbaccbbcbaccaabacabccabcccbbcbaacccbabbccaabcabccccbccababcabaacbcbbccbcbcabcacaaabcbbaccaaccbaacabaabaccaccacbbbbbbacbaccccbbbacbcbbccabacaccccccbbaaacbcbcabcbaaabbbbbbaacbcbcbcabccaaacacacbbabbacabbaccaabcccccccbbaacccabaabacbbbcacccaabbbccabaaccacccccbcccbbabbcabbbbcaabcbacacaccccbbbbccbacaaabcaabbcbcacbbcccabacacbbabacaabcbbbbacacacbbbbbaccbaccbcccbbbbaacbaccccbbacacccbbbaacbbbbbabaaaacaccacaccbbbccbbbaabbcbabaabcbcaaabcacacbbbacbcbababcbaaacaacacbbcccbacbacabbabacbaacbacbccccbcbcbabbbbbacbbccbacccbbcabaccacbbacbcccccbcbacccbcaabbcbacbcbabbaababcbacbababbbabcacbbbacabcbcbcacccabacabbaaacbaacccccacccbababacccbbccaabbababbabcaabaaacbaccbcbcaabcacbabbcaababbbacbbaccabcabbbbaaabcbabbbcbcccaccaccabccacabcbcbbbabcababaabbccccabcacbbbbabaacabcbbaaacaababcbbbaaacbbaaaaccbcaabcbbaaaabcababbcacacaaabbabaaabccbbacbbbbbccbcbbaaaccbbabbabaababcccbccccbbbacccbbabacbbaabbcccacbaaabccbbbbabcccccccbcaccbaaaaaaaabbbabaccbbcaacccabbccbcbabcbabbbccacabbcccbcbacababccbcacabaabbbcaaacbbbbabaaababbababaccaabbacacbbcbabaacbacaaabbabccaaabbbbcbcbbcababcaacccaacacbcaaaabbbcccaaabaaacaaacbbbabbbcbbabacaaccbbabbbbacabbbbbbcccbacaaababbbbcbcbcaaaaccbccaabcbbaaabaabcccaabccbcbaaacccababbbcacbabaabcacabcaacacbcacaabcacbcaccaacbcbbccbcccbcbccbcaaaacbaabbabbccbcbcccabaaaabbacaabccbbaccaababbabccbaccbbabbbbabbbccaabbbbccbcbccccaabaabccccbbaacacccaaccbabbacbccacabbbabbbbcabbbcbbcbcbccabbcbbaabbcbbaaacbbbcaaabaaccbccaacaccaacbccbbbbaacbbabcbbaabaaabbcccbacabcabacaaccbcacacbbacccbcccaabcccabbaaaacaaaaccccabacaccaabcccacaaababbcabcaaabbcbbbacaaacbaabcccacbbbbccbbbabbcbcacabccacbcbbacabcbaabcbbabbaaacbbbaacbacaccbabccaabcabbaccacabaacabaabccaabbaccbbaabbcbacccbbacacbaacccbaaacbabaaccccacbcababccbababacbbcabacacbcccbaacabaabacbcbabaabcabaaacccacaaccbaaccccccbccbbbabcaccbbcccacaabbaccbbbaabccaaccbabaacacabcbbcbbcabbaabbccbababaabacccbababbcbaacbcccbcbabbccbacccbcbcbccbcccacaaabcbaacabbcbaabbaacacaaaacbbabacacbbaccabbbbccbcbcbbbcbacaacbcacccbbccaabbccacaacacbbabcacaacccbacaacbcccaaabbaabbbbabbcbbcaacccccbbbaabababbcabcaccabcaaaacaabccbbcbbacaacbbbacbcababcccabccabcbcacbccaabcbababbbcccaaabcaacbaaacbcaccabccabaccababacabcbabacaabbccbcaccacacbcabbcbbbbcabbabbbbbbbccbbcaccabaccccccaabaaccbcabbbbbcabcbbcabcbbccabaccbcabcabbacbcbbababaccbabacabbabbcaaaccacaccbaaccbbccbcccacbcbaacbaabbcbaababbabaacbaccbbaaabcabccbabcacccbcbbbcbcbacababbccabbacccbbaacbbbbabcbacbabababcbbaabaccbcbabccacacaacbcbbcacccccbcbccbbabaaacabcacbaacacbacbcbbbabacbcbcacbbbaccbaccacacacbababcacabaaaccaacbbbbcbcbcabbbbabbcabcccaacbcacabbcbcabcabaaaabacbaccaaccabacbcccacabbbbbccababbccacccccabbaacbbccbacbcaabccaaccbbccbacbbabbcbcabaaaaccbcbabccbaaabcbcbbaccacbcaacbabaabbbcaaacaccacaabbcbabbcacbacaacabaccababababcbbccbcbcabcacbabbacacbcbbcccbaccccbcbbabcaacbabcbaccacbbbaaacabcaacabbabbbacaaabbcbccbacaaacacbcacaaabcaaacaacbabccabcacbcacbbccccbacccbcbaacbbaaccbacbbbbbbcabaababacacaaaacabcbbabaabcbbcaaaccaacbbacbcbbcccbababcbacabbcbcabcbacaaacbabccaaaacabcbcbacccbaabbcbbbccbcbbbaccbcaaabccabbaacaabbababbaaabccabcbabbbbbccaccccbccaaacccbbbabbaccbcccbbcaacbabcaababaccababcbabccaaabbaabcbccbccabccaabacabbbcbcaabbcaccacabaabbcaabcbabacabbaaccaabcccbabbabaaaaaabbccbbcbcaabccaacaacabbcabbabacbbbabbaaaaccbcabcaaaaaacbcaccccabbacacabaacbbabccabacbcbbabcbacbbacccabacacbbbaabcbabbbbcbacaccccccccaaaabcbaacacaacbacaabcaacaabacbbaaabcccabbabcccabcbaacbcaccccbcaccbccacbacbbacaabcaaabcacccacbcacaaaabbbcabaaaaacacbcaaaabbcbabaacacbbcbcbbbcbacbaabcaaacbbcacacbccbbcbacbccbbacbcaacabbbbccaabbbcaccbaacabaabbabaacabccaababbcbabaaabcababcccaaccbbbaacbbcccbccbbabccccaaaaabbcbabcabacacbbbcccccbaccbccacabacbaacbaacbbaaabccacccbbcacaccaaaaaabbcacbbbbbcaacccacaaccbaaabcacbacaccacabaaccabbcbbacbcbcbcbacabbabcbbbaccccaabcbacccccaabbcaabbabbaabbcbaaacbcaccccabababcbbcbabbcbcabcabacccaacaaabcbabcbbbbcbbcbbbbbbccabacccbcbcbabbaabacaaaccbcccacbabaaaaccbcccbbacaacaacaaccbaabbcabaabbbcaaabbcbbacbcbbbaaccbbcaabbbbaaabaacbbaabbacaaccacacbaccccccccacaacaabbcabaacbbcbabbbbcacacbbbaaabbcbbcccaabcbcaccabaaaaabbabcabbbacacbbaaacccabccbccaabaabbaacabccbabaaabbccccccbacbaaacbaaabbcbcaaabccacbacaccabbcacccaaabbccbccccaacbccbacbccacaaccccbbbbbbccaccbcbcbabccacabbbcacccccaccbcbabbacbbbbcbbcbabbbccaccbbcaabccabbbbccccacaaababbaacbcaaaacbccbcbcbbcbcacabaaccbabcaababbabbcaabccaabccbcabacbcacbcbcccacbaaacacccccbcaabbcaacbaabaabcbbcccbbabbaabcbbbbbaccbbbababcbbbbbabbbacacaabcbccabbccabccacabaabaacaabbbaaccaaabbbcacccccabcacbbcbcabcaaacbbbcbabcaabbabacbbbcabcabaccacbcacabbacccbcabcaccacaaacbaacccabacabbbcbbbcacccbcaccacaccaacabaabbacacababaaaabaacacbabccabbcbabbbbcbbbabababacbacbccacccabbcacababbccbcabcaacbacbaabaaccbbaacaacccbbaabbacccaabcbbabaccccbccaababbbbcacbbabcaabbbababbbbbabccccbababcabbacbcccbbaacabcbaacabbcbaacbbabcbcbaccaababaaabccaaacabaaaabaaacbaacbcacccccbbaabacbbbbccbabaccbbbaacaacabbcbabccccbbcbbcaacbcbabbcbbcbacbabcaabbbcaabbccbbcbabaababaacbbbcaabcaaaaabaaacaacbaaaacacbcccaabcbabcbbccbbacbcbbcbbcacbccabaabbacbbbacccbcacaaaaaaacabcbacbbbbbbabacabbabbbcbabbcaabcacacbbacbaaccbbbcbabcaabcccbcababcbcaaabcbbbbaacaacabababcbbbbccaccaaabababcbaabaabbbaacbbcabcbcaccbabaaacbbaaccbbbccbacabacccacaaaccaabbaabcccabccbbcabacbbbabbaaaabbbbbacabacacaacaacbbcaccabababbaccbaababcbabcbbbbccacacaacaacbacbbbcaabcbcccbbcccbcbcacabbcaacaccabcccbbbaacbabccbbcbcaabccacbbbccbbbaababaabbccbbabbbaababcaabcccabbbbcaaacbaaabcaaaccbcabaabcabbbaaccbaccaccababcccbaacbcaacbbaacabcbabbbcbbccacabbbccababcaccccacbacaabbcacabbbbbaacaacacacaaacbaaaabacaaaccaaaccbbaabcbabcbcbcacbabccccababbcbabcbbbbcbcaaacbaaabaacbbaababbacbbbabbbcacbabbcaaabbbaccabbbbacbcbcacaacbbacbabaacacaaccacccbcbcbbbbaaaccbbabcbbacababaaaabbbbbbbbaabbbbbaaaccacacabcbbabbacbabbcccccaaacbacbcacaaacabaacbbcaababccabaabccaccbaabbbbccbbacaabaacbbaccaacbcaaaccbaaacbcccbaaaaccaacaaabbcbcbaccacbabaacbbbacbcbbabacbbabcbabcacbbbcbaaacabcbbcbcbabcccbcacacbcacbbbcacccaabbbcacabaacbbacaaaacccbcbbccbbcaaacbaacbcaabacababcbabcccbacccabbcaabcaacabaacaacccccbbcacbacccbabbacaacbbaacbbcbaacaabcbcbbabcabcccbabcbacababccbccaabbbabbbbcbbacbaaccbcccbbaccccccaccbbabcaaaccaccbbabccabbccaaacababacbaaaccccacccbcbbcccccccbcbcbaabaaccaaccacbbccaacbbbbacaacccccacbaabaaaaaabaaabaaabaacbcacbbabbbbccaaaaaaabacabaabccaacaccbcccccbcccaccacbabbaccbcabbcbbbacabbcccacbabababcbabbcbaabbccbcbacbcabbcbabacaabaccbbbcbabcbacacbccaacacccaabbaacbcccccaaaccaaaccacaabcacaccaacccbaaaccbbacbcaaaaccabaabbbbcacacabbcccbaccbcbcbaccaccccbbbacaccbababaabbcccabcbcccacaacbccccbcbaabaabcabbccbabbaacccbacbcbcbaccaccbaacaccaaaccbacaacbaabccbaaccbbbcbaccbbabbcabcbbbbbbccbcccacacabccbccccabcbcbaacabbcbbacaaccaccaabcbbbabaacaacbacaababbabbaaabbbccccacbaabcbbbcbcbcccabbbbcbabcabbbacbbcbcaccaaaaaaacacbacbbbbaabbcacacbccbcbcaaaabbababcabaaccaaaaaaccaccaaabacaaccaacabcabaacccaccacbccccaabbbaccccabcbcccbacabcaaccaabcbcbcbbccbabcbcabcaaaabaaacbcbbcabbcacaaaacccaaabbabaaaccabccacbcccacaaacccaacbbaaccbccbcabcbbbbabbaaaacccaacbacaacacabaabbbaabcbcbaacababbcccaabbbbbcbccbaacccacbcccbabcbccbcccaaacbacacccacbbaccbcacaacbcabbcaacaaabcbbbaacacbbcabbaacacccbbcaabacaabbcaaabbaccbcbacabcbbccaacbbcbbbabbcaacbbabcbbabacbaabbccbabacbaacaaabcacbacbcabcbaaacbbccbcbcacbbaaccbcaacaccbbaaaaacbcbcccccbcaaaaaccbcccbcbbbcabcaaaacccbccbbcbcccababbbccbbcbacbaaaaaabbcccaaabbcbcababcabbbacaaabccbababbbaaabbbbaabcccbbacabbbccaaabcbbcccacbbababcabacabcccabbcabaccbbcacbbbaaaabbccaabccbcbbbaaccabbcbccbbcbcacbabcbcaaabbaccabcbcbabacabbabbacbbbccaacacbaccaacccbbbacbccabbcbaccbbbbaacaacbaaccacbbbabbaaccaaabcabbbabbbcacbaacbbacbcbacbaaacaaccbccbbccbaacccbbabacccabbbaaacbabaabbccbbccbcbaaacabbcabaaaacbcabacbbacccabacabcccaaaaacacbcbaaabccabbcaacaabacabcabcaccccabacbbbbcacccacbbbcabccccbcccbbcbbabccabcaccbaabcccbaabaccabcccabbacbcababccbbaabccbcbccabaaabaccbabbbbaaccabcaabbcbbcbcbcaababccbacaaacabbccacaababccbcaabcbbaaabaaabbcabbaaaaacbaaccacbbbbacccacbbcbaccbacabbbcaabcccbbbacaacbaacccbacaacaaaccbcabbbbcbabaaaabcacbbaccbccaabaccbaacccbacbbabbbcaabaccacaaacabcaaaaaaccaccccaacbacabcaaabbababacacbbbbbcbaaabcabaccbcccbacccbbaaabbbcbcbcbbccaaaaabbcbcaaabccbbcabbacbabaabacabaaccbccabbababccbaaaacccabacbcbcccaacccbcccbacaaabbbbbcccbbcbacbbbacbaaacababababbccbacbcbbbccacbbaccbaccccbbaaabcaaabcaaaccbacbccccabcbaabaaaaccababccabbcbacacbcaabbccbccacbbaaabbbbcbbcbcccbccababaabbcabaacbbcbaaabacbabbabbabcbaccbbabcabcaaaacbaacaacccbcabababbbbbacccbaabbaaaabaaaccbccbabaccabaacbbaaabcaaaabbaacbaacbcabacabccbbcacbaaabcacabaaacbcbaacccbccbaccacbcabcaabcacbcccbbbcaaabccabbcbbcacbaccbacaaaccacbabbacbccbcaacbbaccbaacababaaaacbccbbbaacccacaccccabaaccacccccabacaabacccabcbaaabacacacaababbcaabcacbbbaaaaaaacabbacaaababbccaacbcbababccbcbaccabbbbcabbbcbbacbbbabababbbbcbbbccacccacacacccacbcaabbbbccbbccaacabbabaaaaccacaccbaccabcbbbaacbaabccbccacbcbcbacbccbbccbabbcbbabbaacacbbbcbcccbcccbaccacacabcccaabccbbaabacccaabcabccaacaaabcbcccbaabaabcbcabbbbcbbbbcaccbabccbccbccccccbbbaccaaabbcbaccabccabbbabbbaccabccababbbbcbabcbcacabbcaabbcbacabbabbcabbbbbaabccacbcbbacbabccbbbccbaabacccabaccaacaccbcbacbcacccccabacabaabcabcbabcbbaabacbacaabcababacbacbaaaacbaacacaabccaacabaacababcaccccacacaccaccbbccbaacbaabcbbcabaccccbbccabbcabccbaaacbbaabbcabbcbcbbbabbcccbbabaabcbacbbaaabbccaaaccabcacbacbaabbabbcacbbacbacabcabababccccacbaaacacccaccaabcbcccbcbbcbaabacaabaaaabacbbbbacacaaaaacabbbbbaccbcacbbbabaabaabbbaccabbaaacbbaaaaacaacbcbaabbabbbcbbcbcccbaaccabbabacbccbabcbabcbccaacbccbbcbbabcacbabbccccabcaaaabccaabbbcaabcccabacbacbccbcbaaacabbaacabbcbaabacbbaabcababcbaaaaaacbbababcaabbbcaaaabacbcbaabbacababcccaccbabcbcbbbbabacbcbcacbcbccbabcabbbccbbabbaaacabcbbaabcacaabcbacbcbbbacbcaccbbbbabbcacacbbbcaccaccbacabcbcbbbbbbbbbababaababccacbaccacbccbccacccacaccbcbcaccacaccacaacbbbaacbbcbbccbcbcbbcacbcbaabababccbbcbaccbccbbacacaccbacaabbbaabaabcacacccaabcbacccccaaabbaaaaacbbccabbbbcabcabbcccababbabcaacbbcacabbcbbabaababccbbabbaaaaacabcbcbccaccacacbcabbaacaabacacaacbcbaabacbccccacbaabababbcbacabcbababacbccabcbabaabcccbacbbbacbccabbbabcbbccbbbbcaccababbcbacababacacabaccbbcbabbcbccbbbacccbacbcaabacabcacacaabccacabcbbcbbcacbaaabbbbcaccaaaaababcccbbcacccacccabaacabaccbabacbbccbaaacabbcccbababbcabbabaccacbbcbabbbcbbcacaacabbcbcbccbbabcbabcaaabaaccbbcbaccacccbbacabbabacaacccaaaacacacccccbcbcccbacbccacaacabbbacbbacabcbabcbbbaabbcbbcbcacbabacbcacbccacccabccccbcbbcbcccbacabbcbbaacccbcacccbcccabaacbacbcccbbababbabbbcccacbaaabbabaacbcaccaacaacaacaaabaacacbbabbbcbcabcaccabbaabbcaabbbcbbbaaacbcabaabcacaccabaccabccaacbbabcccaaabcbccaaacabaaccbcbbbacaaacbacbcccbcaababaabacccacaacabbcabcbaccbcbccabcccbabbaaacbacccacaaccacaaccccccbbbcaabcaabaaacaabcbacaacccbaaccbccccbaacccbabcacabacabbbcccabbcbabccaaccccaacacacabbccbcccabaaaabcccbcbcbbcccbbccbcacabacccbbcbcbccaababcbbbccacbacbabaaaabbcbaaabbcaabbabcaccaaabbacbbacababaacccbcbacccbbabbcaaacbabaababaaabbbaacbcccbacaabacccbbcaaacbaccaabbbaababbcbaabaacabcacabacccaabbbbbbbccbcacbcacbbcacbbbbccccabbbcccacabbcbaaabbaaccaaccacbcbabcbababaaccbaabbcabbbbaccbaacbcbcbaaccabbbaabbabaccaabbbbabbcccbccacccbcaaabbbbcbbacbacaacacbcabbcbcacabbcabbbcaabaacbccaccbaccccaaaacbbcacaabbccabbbccccaccacaccabbbaacbcccbbcbcabccbaccccaacabbacacacbabbbbaabacabcabaabbcccbbabbabcaaacbacaaacacacbaaacccabaacababbbacbaacbcacabbabccbcbabababacbabcbabbcabaaccccbcbbbcbbcabcbacaaaccaaaccabbccbbbccccbbccbacccacbbcaabbbbbacbbacabbccaabbcaaaacaacbaabbabcaabbabcccabaabaacbbacbabbbaacbbbccabbcbaabbcaaabbbaaabcaabaacacbbbaaccababbaaccaacacbbbbcbbcacccccbccccaaacacacbaaaaabbcccbcbabbababbbaccccbccccbcababbacacabaccabacbcbaaabaabcbabbbabccabcacccccbacabbcaccbcacaababbcbbbbabcbccbabaccbccbaabbabcabbccabcbaccbabbcbcbbcbccbcbbaabcbabbbbcbcaacbbbbbabbbbbcbbacaabacabaaabbcbcbbbacbbbcabbcacbbcabbaaabcababccbcbcbabbbcacabcacaabcccbcbcbbbabbcbaaacbbaacbbbccabbbbbcababbcbaaacacbcbabbaababbbbbabbabababcbcaaacbcabacbbcccbbaaccbcbbccbbaacccaacbacbccbbcbbbabbacacbacbbccabaccbcbcbcbbbcabbababcacabbbcbbcbbbbbbcbbbabaaabcccaabcaaababccacbcabcabaabbbbaacbbacbcaabccccabcbbcaacabbcbcbcbbbbbbcabccacbccabacabcaababcbaaacccaaaaacaccccabcbccbcaacccbaacaccaabacbacbbacaccbabbccbaccaaabbbbbcbaccccbbaabcaaaabcbcabaaaaccabcaccacbbbcabcbbbaaacbbbaacbbcbbbcbbccbacccabbaaacccabacbabcbaacaaaacbabbabbaaabcbabacaabbaaccaababcaaaaaaabcacbbaccabacabaaaaabbacababaaabcaccbabbbcaccbacacaabbcbcabaabcbcccaacabababcbabcabccccbaaccaacbcbcabacacbabcacbabcacbcaabccabcacbbcccabbaabccbbabccabcbabbabcaacabacbabcbacacababbbbbaacccbbcacbcabccacaacbaccacaccaacaacababbabcccacbbbcbbaaabcaccbabacaccabbaccbabaaaaacbacabccacccaabbcacaaacabbcccbbcaccbacccbabcbacbcbbacabcaaaccbbbacacabbabcacaabcbababaabaaaccabccabbbcbbcaaaabaacabcabaacaaccbbaababacbabccbbbbbaaabcbacccabbbabbaaccacacbbbbabbcacbaccacbabcacbccaabbaacaacabaababacccaaabbaacbabaacacbaaccbcbaccabbacaacabcbcbcbabacbbaacbcbaccacbbbabaccaccacabbaabacaaabcaccacbbacbaaaaabcbcbbabbacaabbcccaabcbabcbacaaababbabcacaababcbbbacccaaabccbbaccbabbabcccacbcbaaacbcbbcaacaccbaabbcbaaabccaccbaaaccacbabbbbaccacbabbbccabbcaabcacaccccabcbaaabbaccacccaccbcacacabaacccbababcbabccccabbaaaabaaccabacbbbbaaabacaaacbacababababbabccbaaabacbbaccbcccbacaabcabccbbabcbbbcbbcacbcbabaacabcacaaccabbbcbbaacccacbbbcabcbcaacccbacbaccaacccccbcaababbbcacabbbaaaabaacbbbbbaccabcaccccbaabcccacabbcbacaabcaccbcbccacaaccbbaabbbcaaaaaccbcaacbaaabcbacccaabccccaccbaabbcaabccbcbbacacababbabacbabacaabbbacbbababcabcaacbbcacacacbabbbbbcabcaccbbcabcacbbbccaccabcaabbcbaccbaabbacbbacbbaaabcbbaacacaabbbaacccccbccacbbcaacbbacaccacaacacbcbbaacaabbacccaabbaaaabacacabbcccacbcabcbabaabaabacaaccccabcababababbabaaaaaaacacabbabacababbacaabacaaacbcabbabbaccacacabbbcbcbabaacaabababaacabcaaaaaaabacabbbaacabbbbbcaaccbabcbbabaacbcbaabcbcaccccbbaabbcaaabbabaacccbcccacbbacacbababbbccbbababbaaacbacaababacbabaaaabcbaacbbccabcacbacbbcbbaabccbcbcacabbaabbbabcaaccccbacbbbbbcabaaccbbaaaacacbcaaaaacacacbaccbaccbbacccccbcbcabbcabbbccaccacaccaacacbaaacacabbbacbbbacbabaaaaacacbabcbbacaaaaabccbabcccbcbcbbaccbbccacababcbcacbccaaaabaababcbaaababaaabaaabcaaacbbccbaccabccbccbbaaabacbaabaababbabccacaacbcabbcacacaaccbcaaaaccabcacccbaacccbaacbcbbbcbabaabbcaaabbababbcaabcbbbabaaacbbcabbaccaacacaccbbaabcccccabbcbbcbbbcbcccabaaacbabccaccbccbbaaccaaacccbaacbbbacaabccbaacbcaaaccaabbbbcbbcabbacababcaccabbacabaabcbbccbbbaaacbcbabbaaabbabaacbccbcccbabacbababcabccaacabccabcaaccbcaabccabcabacbaaccaabbbbbbcabcbbacacaaaccacccaabbcacaaaccbbcbcacbcbcbaccbcccbcacbaababcaabcccaaaaccccaaabccbbcccbcccacaaccaabbcbcaababbbccabcbcbabacacbbcabbbacbbbbacbbcbaababcbbcacbacbbcbbaccbacccccaaaabcccabaacabaacaccabbacaacaabaabbbabcaacccbcccabcaccbacabcbbaccbabbbccaabacccaacaaabbbcbbcbacaaaabcaacacabcabcbabcbcbaacbacacabbacbcabaaabacbbccaaabbaacbaacbbbcccbaacaaccaccabcbcaacbcbacaaabbccccaccbbbcbbabccbcbaccbaabccacbacccbbbabcaacbbccbaaccaccbcbccbbbccaccbaacccbacbcaacbabaabbbcabcabcbccabaabbbbbaacccaccaaaacccabaacabccaacbcccbcccbcbbbbcabbaccaabbcbaacbccabbcaaabbcbbbacaccabbcbbcaaaabaabacaaababbabccbcbcccbcccbaabaaacbbcaabbcccbaabbcbcacabbcabbbcccabacacccacaabacabbbbcbaabccbaccaccacbaccbaccababacbbaababaacbcabacabccacbbbabcccaaacbbcacbbcabbababbabaabacbaabcacabbbbbbbbbaccaccbcbbbbaaabaccacbbcbacaccccbbcacbbcccbaabaabccacbababcbcccabaabacbccbabcbbbaacccbacbabccaabbbacbbabcbacbcbbbaaabcacabccbbaaccccababbbcbacccccccccbcccacabbacbaccaccbaccacbccacbbccbaccacaabbaccaabbbcaabaaacccbccbbabacabaccaabbcaccbaccababbaaacacbaccbcbccbbabbbbabbabacacaaaaababcaccbacbabccccacaacbbccacccabbcaccbacccbabccccbacaacbcbccbbcccbcacbbaccabbacbcbabaaacacacbcacbbbcbccccbbcaabcbcbacabcbccbbacacbabbcbccaababccbbacacacbbababcbcaabaccababcaaccabbaaaccacbaacacabacbbabbbabccacabcbcacaccacbbcabbcacacbccbacbccbbbabbcbcbcbcabbcacaaaabbabbcccbcbaacaccaaacabacccbabcbcbaaabaacbbcbcbcbaaabaaabacbaabccccbcbbacabbabacabaabaaccbbbcccbbbbaacbacccabcbcbcbacbbbaccbaabbbbcbaabcabccabaacaccbbbccccbccbaabbcabaacaabccccbccaabbccccabacaccaccccaacbaaacacbcaabbcaccaaabaccbbcabcccbbaaacbbaaccbcaacaaacaababbaccccbcbcaccabcbccbbccaaaccbcbccaaabbabbccabcccbcbaabaabccabbbcbbcbccaccacbbbacccbaabaababcbcaacbccccbcacacbaacbbabccbcccbacbcabcbbbbcacaabbbbacbcbcaababbacbabaacbabcbbccbacccbacccbabaaaaabbccaaaaabccbcbaccbbabaaaaacaccacbaccbaaabbbbaccccbbbaccbacabacaccabacbacbabcacbbbacbbcbbcacaacbbbccbcaaccbcbababacaacbbabaaccbbaaaaacabaaacaaabcaabbabccbbabbabccaaccaccabaaabbcbbacacababcabbcbaacbccbacbabcabccabbbcacacaacaccccabcbcbcbcbbacabbabcacaacababaabcccccaaabcabbbbcbabcaababbaaabcbcacaacbcbcbababbbbaaabcaaaaccbabcaabaacbabcabaabacaaabbabacacbaaaaabcbcacbcbaaabbcccbabccacabbccaaaccccabcbcbccabababbaaacbcacacabccaabbabcabaabbbbacbbcbabbbbacabbaacaaccaabaacaaaacaaabccababaccbbbaaababbaaabbcbaaabcbccaabccacaabbacbaaabbccbcbabccbbcccbbcacacbaccbcbabacabccabcbcbacabccbaabaacbcccabacbaacbacbcccccaaabbaabacabcacabbabcbbcbaaabcbcacccbabcaacccaaaacacbcccaaabbacccabbaababaabaabcabccabcabacacbccabaccaabbbbabacccbbaabbbbbaacbcaaaaabbcbabbaaabaaabbbbaccaaaababbcabcacaabacbaccbabccbbaacbbacbaccacaaabcccbbacbbccacbaaccbabcabcaacbcacaabccbabccccaaaabbacacbbcccabccabccacabacacabcabbaaaaccababaaabbbbaabcbbbaacabbbccabaccaaabbcaacbcbccbbbbacbbcacbabaaacbaacccabaccacccccaacacbacccbbcbccaabcccacbabcbcbbcbcabaabbaaaacbcccacacbabcaaccaabcbbaaccbbabbbbbaacaccaabbababbbbcacbccaccabacacbbbbbbaaaaabacbacbbacaccaabbbababcccccababbbabbbabaababcabaababacbbabababaabcaacbaccabbbbaacabbccbcbacbbaacbcccccbcbabaacacaaabbbbbaabcbbaabbbaaaacaacbaabacccbabacccacababbacaabacbcbaaabbababbabacbaababbbacccbaaabbccbcbccbccccacbbabbcacbababcacbaaabcaabbbaabcbbccccbbcaccaccaccbacaccabcbbbcbcabbcccaacacacbcccbccccbbbabcbacabbcabbbbbaaabcaacaabcbacbbbbacacccccbccbacbbababbcbcccbabcaccacccacbaaacccabbccaabcaaacbabcccbbcacabcaaacabbbaacacbcbbacccaaccabbaaccbcabbbccbbbabbaabbacacaccaacaaabacaaabccacccbacbcabacaccabaaacbcbbaccaccbabbcbbaabcabbcaabbcbbbbacabbacbccaaaacacabbbcacbcaaaccaaacaaaabcccbbbaaabbccacbcccaccbbacacaacabcbacbbbabcbcaacbbccacbacaaabbaabccbabbacaacaabcbbcacbcbccccccaaaaabbcbabccbbabcaccccaacbcbbaaabcbabaabccccbbabccbaccacbccccabaccacbabaabaacccaabaabbbabbcccaaacbccbbbaccaaaabbaaccbcaccbccabbccbabccabcbccbaacccbccabcccccaacaababcacbcccabcaaaaaccabcacabbbcbcabababbabcacacabbabcbcacccbccbbababbbbaabbbabccbcbbcbcaabaccacccabcbccbaacccccbccbaabccbaabacacaccbbbcbccaccbbcccbabbccbbababcaaaacccbabaaaaabacaaccbcbcbbccaaacccbbbcbbabacabacacaabbcccccbcabcbcaabcccccbaabacccccacbbbcbbbabcbbcbbbaccaccabbacaabbccbbaabbbbbcaabcaaacbabacabbcabbbbbacababcbccaccbaacacaccacacabbbabbbbbbbbbaaacaababbbacbabacacccbaccbbcbaaaaacabaccbabbaaacabaccaaaabaacaccccccccccaabacbcbabababcbccbcabacbbacacabbabbabcbbcbcaccbbbcbccbcbcaaacaccbbccabbcbabbcaabcacaaacabacbabcaaacbababaaaabbccabaabaabaababaccbbbacaabaccabaaabaccabbbbcbcbbaaacabccabcbacabaacacbcababbaaabcbabbbcbbcaccccabbcacbbabbcaacaababaabaabbacbbcabcaccacacbccccbcaccbabcbbbacacacbabcabcaabababaabccccbbbbcbcbcacbaabbbccbbbaccacbcbccaacababcccaccbcaacbccbcaaacbbaaaabbbbcaabacabcababcacbcbacbabbbcbcbcbaabcccbbaabbcacacababbcccbaaabcaccccacbbccbababbaabbbcbcbbabaacccbbacacabbcccbacbbabbabcbcccaaaccababcacacbacccaabaabccbcccaabcacccbccbcaaacabacbaccabaacabbccbbacabaababbcabbacaaabcbabaabbbbcbbaabbaabbcccccabbaaccbcacacabaabaabccbaaccbbabbaaabaabccbbbccabcabcaaabbcacaacbcabcbccaaabbccabcbabaaaabccaccbaabbbabccccbbaacabbbaccbaacacabbcaabacccaccabbacccabacccbcacacbaaaacbbabaaaccbabcabaaacbbbcbaabbabbbbbabbaaccacbbcbabaaccacacbaacbcacaacacaacaaccaaabbcbcaababbbbbcbacaaacbcbbbabbccbccacaabbacaccacbbbbabbbccacabcccbaaaabccccccabaabbbacacaccacacaaaabcbabbabcbaccbacacbbcabccacbbaabaccacbcacbabcabbbaabccbbbbaaccbabbcbbbbaabbabbcbbbbacbacaaacbbcbcccaccbacabacbacabaaabbbacabbcccacccaabcbccaabbbccbabaccaacaaccbcbaacaabacbcbbcabaababcbcbcbbaccccabcabacabcaacaabacacabbbaabbbcbcbaccaacbcbcbbcbabbabbabaaaaacccabbccaabccaaaccbcccbcbcbbccaacbabcccbacabbccbcabaaaabcaacbbcbbacccbabcacacaccaabcbacacabcaabbbbaaabbacbabcacacaacccbbaccbcbaaccbcaacabacbcaabcaabaabcbabbbcbccabbccabaacabbbccbcaccbbaaccbacaabbbbbcaababaaacbccabaccaccabcccacaabbbcaacbbaacaaaacaaccbccccbcaacacaacaacbacaccbcbbbaacbbabbcbabccbbcccbccabcaaabbcababcbcbbbcababbbbcccababcaacbccbbcbbcbaacacacaaccccbcbbabbacaabaacbccbaaccbacbcccbaaaabacbbaaaabacaaccbbbabbcbaacbcaacabccaabcabacbacbbaacbababbbcbabbbcaabbbcbabcbbcbabbaaaaccbaacaabbbbcbccbcacccabbcbcbcbbaaabcbcbacacbbbcbbcbbabbcbaacbabbabccaacbcbccbcbccaabaccaaabaccaaccbcbaccbcbacaccbcabaccccaacaaccabbccabcbccabccbaacaccbbacaaacbcaaccbabcabbaccaacbccbabbccabbacaccbbccbabcbacabaabacccccacbacbbbbccacbcbcbbacbbcccabccccabaaaccbbaacbaaacabbccbbbcbbbbbaaaabaacaabacbcbabcacbcacacacbbbbabacccaaaaacaccaaabbbcbbbbcbaaccacababcbaabccaaaaaaabaccbaaccaababcaaabbacabcaaaccbaacbbbbbbbbbacaacbbabbcbacaacbcbccbbcaacbbaacacbbbbaabbbbacbbaabaabbbbcccbccacabaabbbbcaccaccabaaacbbbbcbaccaabcabaaccaaacbbcaacbabaaacccbccabacbaacccacbaaaaacabbbacbcbbbccacaababaaababacacabccaaabcaabacaccbccacbbccbbabbbccacbbaaabbcbcbcccabacbcbcbbbcaccacabbccccaacacccbbaaaaccbababacabaabaacacbabbaaabacbbabbbccbcaacaacbcbaaaacaacccaacccabccacaccccacbcbbbccbabaaacbaaacbcaccbcacbcacabbccbaacacaccbabcbcaaccbcbbaababbacacbcccacaabbacbababbacbcbbbccabaccacccacabbacaccaacbcaacabbaaabccacbcbbbaacacaacbcaabccccccabcbbbbcacacccabcaccacccacbbaabbcbbababcbccabccbaaababccabbcbbccbbbaabbbcaccbcbcbababacabbbbcccaaaaacabbaabbbccaaacababcbbcaaacacbacbcbbccacbbcbcaaaabbbcacaaaccccaacaaaabacacacbbcacaaacbbcabaaacbccaccaaabaacacbaabbcccbabaabbaccbabaacacabcccbabbabacbbacaccbbbcaaaabbbacabbabcaaabcacbbbaabbccabbaaabcbcaccccabbacbabaaacbcbccbaabbbbcccaccbcaacaccbacbcbaacbabcacbbcaaaabaacacbbabaaaaacbcbcccacbaabbccbbcbbbccbabbbbabccccaacabbbcccaabbcaababcccbccccbaccacabaaaaccacbbbbaacaabccacaaaaaccccbcabccbcbccabbcbabaaaaaccbccccbabbbcaccaaabcacaaaacbbabcaaababaaaccbbcbcaaacccbbacccacabcbbcaabbbbbaacbbcacaabccbabcabacbbbbcacbcabcaacbaabacabccaacabbbabcaacccbbaabaabcbbcaaaaacaccabcabbbcabaaabcbcbcbbcacbcccbaabcabaabbcaaabbbbccabccaaccbaaabbaabcbcbaaaacbacabbbaabaacacabcccbacbbacbbbabcbaacacbbbccaaaabbbaaabaaccacbccbbaacaccaaccabbaacbbccccabcabcbabcbabbbcbcbccbcbacababcabaccbacccaaaaaccbbccababaccbcbabaabbabaccbcbabcabbcbaaccccbbabcaabbbaabacbcbccbbcabaacaabbccacbbaaacccaabcbaaabbcaccaccccbabaaabbbcacaabbaaccabbbbcabaccccabcaaccbbcabccaaabbccbccaabcacbcabcaacacbbacabccbcbcacabaabcabcaaabbaccbbccccabaacaaccbabbbcaaacbcbbccbbbcaccbacacccabaabcbcababbbacaabacacccbccbccaaaaabcaacaaababcbbcbbbcabbcbaacbacabcaccacccacccabaabacbbccabacacbbacbbbaaaaccacaaccacbcbbaaabbbcccacbbcbaabaabcbbccbcbaacaaacaababcbacbccaacbaccccbbcacccbaaccbcbcccabccbbbbabbccacbabbaaccacaabbabbbbaaccaaacbbccaabcbcbbaababaabbbbaccacbbbabbbcacbacacbbcbcbaabacabbaacbbabcbcabaccccabcaabccbaccbbccacbaaabbaaaaaaccaabcbbccbaccbbbcabaacaaccbabbccaabcbcbbcbaabbaacccbabcaacbacbbcacbbbaccbacbabaacbaabcbbacacabcaacbaaaaaccaabcbbcaaaccccaccacabcabcbbabbacbacaaccbccbcccbcacccaacaaccbbbacacbabbacbacaababbaacabcabccaaacbbbbbacbaabbbaababbabccaababccbcacbaaabbaaccbaaabaaabacbabbcbaabbacacbbacbbcabaabcacaacbccbcaaaacabbbcbcaabaababaccaabaaacacabccacccbaaccbaababbcbcbabccbbbccaccbaacaacbbcaccbbaacbbcccabccccbcacbaaaacaabbacabcccacabaccabcbacccccacbcabbcccacbaaabbacbcacaaaaacbaccacacabbaaaabcabccabaaaabcbcccccabcbcacbccabaaccccabaaabbccaabcbccbcbabbcccaababcbccaccccacacbaaabbbbcbbacbcbcaabccaabaabccbbcabcbcbbcaccbaaababccabababccabbacbcaabbccbbacccbccccccbaaabacaacacacccccbbbbaabcbaaaacacbabacbaabbbcbcbbbaaaabcbaaaaccccbcbbabacacaaabcbbcbaccbbaaabcaabbcbbbccbbabcccabbbbcbbcbabcbcbabcbccaabaababacccccbbccbbbbbcbcccbbbcabacbccacbbaabcacaaacbbbcaabcbbacabcaccabacabbcbabccaabcbcccaccacccaccaabbabcbababbaccbbcabacaabbbacbaacaaccaacabacccbbbacaccabbabbacabbbbaacbcaaccccbbcaccaacbaccabcccaccaaaccabbccabccacaabcaacaaabacbabaaaabbbcabbcccbcbbbcacbacbbbcabccbcaaacababbbcccacaaabaccabbcaaaacacbacbaacbcccbaacaaacaaccccaabaabaabcbaabcacabbaccbccccccaabcacbcbcacbbcaccbcacbbbcacbbcbccaacccbabbcabccaacbaccbacbbbbbaaaaccaabbabbacabbcaaaccbbcaccacbcbabbbbaaacacacccabacbbbaccabcbabbbbaaacacccaaacbaaaccabbaacaabcbccccbbccaabbaacaabacbcccbbaaacbbbbbbaaccbcacbabaaabbbbccacbaaaabccbcccaacbacaabcbbcaaabcbccaacbbaabbabaaacccbcabcbaacbaaccbccccabacabbaabcababcacbabaacbcaabacbcabbccabcbbababacacbabaccccbacbbbcabbabbccbcbbaccbaaabbacaaacabaabaacabaabbccaccccaccabbbcbcccbbabcaacabbccbcacccaabcacaabbaccbbcabbbbbcacccabaaaccbbccabaaacbaaaccabcbcbaabcbacaabaacaabcccaccbacbcaabbbccbcabccbacacbabbcaccbbbcacccaccbababaabcabacbbbbbaaaccbbcaacaacbbcbccbcacacacabccbccbbabaaabaaacbbcaabbaaabbbccbbbbbaaaacbbbaaabcccacabaccbbacccbbccaccaabbbcbbbccbbcbaaccabbacbabaabbaccacaccbbaccbbabbaaaabbcccabbaaabacababaccbabbabaaccbbaaabcacbcbcbaabccabcbabbbaabaacbaacabbbcaaaccbccabbbccccacccbcbacbbaccbbcbccbacaaccbcacaabaccabbabaaacbaaacccaabacbacbabcbabbcbacbbbabacccabbbcacabbacaaccacbbccccaacaacbbcbbaaabbcbbbabaacaccbcbcbaaccccbcccaababcaababaabccbcaccbbaaacacbcccccbbcaabbbbbcabbaaabbaaabaccbccaababcbacacaccbcccbbcccaaccbacbabbcbbcabcabcbabaacbccacbcacacaaaaabbcbcbbbbccacacaaccbccbcabbacccbbcccbbbbcbcaacabacacaacabcbbbbcbaaabbbabcacbaaaccaaccbccccbabcaaacabbbbacbabbacccaaabbcbbbbacbccbaabbaaabcabbabcbaccacccccbaacccccaabbccbbccbcaabbcbbbabbabaacbcccbaaccbccbbacccaaaabcaaccbcabcababaabbaacaabaabacbcaabcbacaaaababbabbbbcbbcbacaaaaccabcabacbabbbcbaacbabbcbabccacbcccbaacbcbbbabcabbcabcbcabcccbbbcbcaabcccbcccccabababbbcacaaacacbcccaaccbcacaaabacbaabcbabcbaabcbbaccccbacbbbacbcabacacbbcccabcbabbacccbcccbcccacccacacbacbccbcabbaacacacaabaccababbcaaccbcacbbbcbcbcbbcccbabbaccabcbbccbbabcacccacbcaabbacbbaaaabcaaccbbababbbabaabcccccababacaacbcccccacababbbbccbcbbbbcbbabbacaabbaccaccbabbabbabcbabaccabaaaabaaccbcaabbcabcbacbaaaabcbcaabbaaaaacbbccacccbbcabbaaabbbccbabacacbbcccbccbbcababbacbbacbabcbaaacccaccccbbcaacacaacbcccbbacbbcaccacccacaabbcbbcaacbaaabcbcbaaccaaaacbccaccacaaccaaccaaacaaccaabbcaacbacccaacbccbcaacaccbaaacaaaccccbbaaabccabaacacbbbccaabcacbaaacaccabbbcbcbabaccacaaaacaccbbccbaccaccbcbacccbcbbcccbababbcbccacacaacbbcbccbccbabbaabaacbacaababaaaababacaacbaaabcccbccacbcbabcabbbaacbababbaccbbaababcbccbcacaccacaaacaacabcbabaacbaabcaccbbacacbacaaacbbbcbacbabcabccbcaacbabaacabbcabcbcaaaaccaaacaabacabbbaabbbcccbaacacbaacbcbcacaabbacaaacbccbabcaacaacbcababbbbcaacaaabaaacccabbabcaabcacabcacccbacbbccabaacaacbaaaccaaaccbbacccacabaaacbbcaabbbcaacabcabacbbbbcbaabbabccbbabcccbcbaccccccbabbcbbaccaacccababbcabcbccbbabaabbbbabbbaacaaabaaaacaacbccaacaacbccacbaaccaaaabaabcacacbbbccbcbbbbbacaacbcacbabcababbabbaacaaccbbbacbcbbaccacbcbbbbababbabccbbcabbaacbccaccacaabcbacbccbbccbccbaccacbacbaaababcaccaaabccacabcabbbcabbaccbbabcababcaccaacacaabbbcccabbbbaabaabcbbbcbaaaccccccccacababacabbbbacccabbbaabbccaaacacccaccccbacbbaccbaacbaaaaabaaccabbbbcabbccbacbabbcbbcccccaacbaaaaababcbabccbcbaacccbabaaaabcbcabaabccbacbcaaaaaabbbcbbbbccaaccabcaacacaacbaacbacaabcaaccaaacabbcacccbacbbacabaabacaaaababcbbacabcacbcacacbcbabbcabcbccababbbacccbcacbccccccbbbcaaabcbacbbacbaaaaaacbcbacbcaacbbababbbbaaabbcaaacccbacbcccbccabaccaabbabbbbbaabaabacccaaccacabbbbaabbaccaaabbaccbacbbbabaabbabccccabaabacccaabbccbbcbccbcbbcacbcccabccabbbccabbabbccaabbcaacabbbbabcacbabcacbcbaccbabbbcbcaccacabaaccaccaabccbcbabbbcccccabcacaabcaacacbbccbacabcbaaabbacabcbcaabacbcbcbaabbcbbbbcaacabccccbbcbbcacbbbaabcabacaccccbabaccbaababacbaaccbbacbaaacaacbacacaaaccacabcaabbcacaabccbbaaacabccaabbcacccabbacaabbccaacabbccbcbccbaaaaccaacaccbbcbaaabcaacccbcacbbbbccabcbcbaaacbacaabacbaaacccbbcbcbbcaacacbcaaabacbbaacabcbcbabbaaaaaccbbacaaaacaaccbccabbccccbcaacbaccccabbacccaabccbcbbbaabccbaabcccabacaaababababcbcacbcabbbbaccccbcbcbcbccbabcacbabbbcccabacbabcbbaccabaabbbaccbaaaaacabcbaacaaaaacaccabccacbacbccbbbccbbccbbbacbaaacaacbabbabccbbaacccbabbcbabbbcaabcacaaabcaaaccbbabaaccaccbacbabccccabbcbabaaaccbbacccccccbacbabbaacabcbbabaacccbbcbcccabbcaababcbabaabcaababccacbabbcabbcbbcbbccaaaccacbbccabcbacbacbbccacabcbcbacbbacaaaaacacbbbacaccaabcccbacbcabaaabbcaccbaaabbabbcbaacccbccbbcbbbbbbaabbbacabcccaaaabbbabcbacacabbbbaccbcbacbacbbccacbbbacbcccbaaabaaaaacbccbaccccbcbcaacbacbbabcbcbcbcaaaabaabbcbaaabbabbacaaabccaaababccaacbbcbcbcbbbbbbcababaacacabacaababbacbaabcabbbcbaaabccacbcbccbaaccaccabcacabcbcbcabbcacabbbccacaabbccbaaaabbacbccbacbabaabcabccabbabbbbcbbabbccabaabcaaacaaaaabccbccacbccacababbcbabcaacbacccbbbbbabbbcbbbaabbcbabcccaccbcccbaabacbaacaabcbbcaacbaacacaaabbcccbccaaacaccbcbbcbaacbbcacbbcaaccbbbaaabbaccbcbbbaccbbaccbabcabbbbbcbabbcaabbbccaacabcccaabbaaaccbbabacaaacccbbacabbcabcbababaacbacbccbbaaacccbabbbccbcccbbabbbcbcaccacabcacbbcbccbbbbcbbbccaccaccccbcbacccaacbbbabbbabcbcaababcabbcbcacccbabbcbaabbcbcccccbbbccccaaabbcbaacccacabcabbcbbaccbbbbbccbcbabbabcbaabbbcbaaaaacaccccabcbacaaccaabcabbcbaccbbbacbababbcacbbbbabbabaababbbcacbccbccbbccbcbcabacabcbcbbabcbcbbaccbabaccaccaaabcbbbaabacababbacccaccccbacacbbbabbccacbccbcabccaccaaabbbabbcacbcabcaabbbbbccaaaaacbacbabaaabbccaaababccbbcaccbccbbaccbaaaabcaccbcbbabccacbaacbbaabacacabacaabaaabbbcccabacacccbbcbaaacbaaccbbbcccbaccabaccaabcbcbcbccaccccaccccaacbabcabcabbcabcaccbacbcabbacaababaaaaaccaabcbaacbcbcbccbccbaabcbbcbaabcbbbabcbaccbacbcababbcbaaaacaaaaccccaaccacacccbcaaacbaaabccabaacbbabbbacabcbaacbabccaacccacbaabcbabcbaccbbbbabacbabacaabccbaaaacbcbbbcbcbcbcaacaccaabcccccbaabbbccbbccaccaccbbacbbbcbcccacaabaabbbccbcacabcccccaababacbcccaaccbcbaaacbaabaaaabbcbabbcbabccbcbbcbbabbcccbbaacbbbabaaccbacacaaaccacccbacbcababbbcacabbbabbbbbcbacabbabcbacbbacaccbccbccccacbaccaaaaabbcaacacbbbbcabcacaabbbcabcacbbccbabccaabacbabbaacacccccaaccaabacbbbbabbbcbbbcbabaaabcaaababaaaabcccbaabcaabccabbbcbabaaabacacbcbbabbaaccaacbcaacbcbccbcaacbcccabaacbbcabccabcacabcabbbaabbcaacaccababaccacabbabacbbabccccabbabbbaccbbbbaabaacabbbbcbabacaabcabccbbcccabacacccbbcaccbbaaacbccabcaacccbbbbbcccbacaccbcbccacabccaaacabcaabcacbaaaaaaabbacabccbcbcbaabbaaabccbacccaccaaaaabbacaabaacababbcbbbaaaaccccbcabbbbcccabbbcabbcccacababccbccbabbacccaaacacacacbbbbaacccbbbabbcbcccccbcabbcbcbabcacbabcbabcccbbcccaacbaabbaccabcaabbcbbcaaaabaabcacbbbccbaabbcccbacabaabcbbbccabcbbaaaabcbbcbbaacabcaaacbcbbabbcbcacaccacbacacaaabbcccbcbaabaaacbaaaaabaaacbaabcaaaacabbcbccbacabbbcaaccbccbbacbbbbacabaabcbabcccacaccaaaacbcbabbbbccbacacbcccbacbbbacacbbaacbcacaabcacbbabbcbcaccabaabcbacbbcbaabccccbbacabbabcbabbcbbcccaccbccbbcaacbbbaccbaaaabbcbcbccaaaabaaabbaccbacbacbacbbcbabccccbccbcaacaccbbaccbaccbaaaacaaccccbaabcbbcabaabaccaaacacaacbccccccbccaabcabacaabbbacbcccaabbccacbaaabccbaccbbcaaaccbbcbcababaacbcbbbaccacbababbbbcbcabbabccabacbcbcbcbbcbcbbcbbccababbccaababcacbaabbabbcaaabaaaccccabbacbabccbacbcaabbccbbabacbcacabbacacbbcaccbaabccabacbbcabaacbbccccaabbacbaaccaaaacccaccccbbabbacbbabccccbccaacbcabcaccabcbbaababbaabcbacccbbcccbaaacbbbbcbbaccbbbabbcccccacacabacacccbcaacabcccccbbaccbcbcabcccbaabacbccbaababacacbcaabbbcacabbacccaaabbaacccccaaaaaabacbcabbccbccbcbcaacacacbbbbaacbacbacbaabbabcaabbbccbbcacacaaccbcbbccbccabccacaccacbcbcaaaabcbabbcbbbbcaabaaacbbbacacccacbacacacbbccaccbbbcacaccbaabaaccbbcabacaabcccbcabcaacccbabacabcaccaaccbacacabaaabbacbacaabbacaaacbbbaacabcabbbaccbbacaaaabacabcbbbcbcbcabaaabbcabaaaacacccbbacacaacabcaabbcbccbcbcaccccaccaacacccacbaacaaaababcbbcbbbcbcabbcacacbbcbcabbbbacaccaaabaccabbcaabcbaaacabbccabbcababcabcbaccbacbcbcbcbbcccaacaccbcababacaacacccbcacccccacaacabcacaabcbaaccbcaaabbbbbcbbbcabaabcccbbcbaacbccbabccbcbbaaccccbbcaacbabaacccbcccbbacbcbaacbabbcccaacaaccbaccbcccccbacccccccabbcbaabacabcbcaacacaaaabbabaabcbcaccbabbccbabbbcccaacbbacbbccbbacbbcbabbccbaabbaaaabcccbaabcbabacbacabbbcbbccbbacbacbbcbabacbbbbbaabcbbababcbaaaabbcabbbabbabcaccaccbcbbbbacbcacaaccbcaccacccaccabcaabcaacbbbbcbacbcbbcbbccbbccacbaacaccaccaaabbbccccacaaacbbaaccaacacbbaaccccaaccbbbccacabbcbaccbabcabaacbcabaacbacccbcbbcbcbcabacbbaccbccbcabcbcbacacacbcabbcaccbccaabbcaccbbcbcccbcccbacabacabacccbbbacbcbbbccbacbcabaccbbcbcaaababaabcbbbabcbcccccaaaacbcacbbccbcccbcacbbcbbbcccaaccacbbbbcbcababcbbcccbcbcbbbcbbbcbcacbcaaacbaabaacbccabcacaababbababcbcbccbccaacbaabacbccbbcbaaaaaccbbbacbabbacbbbbacabbbaacabaacbaacacabbcacabcababccbabacbcbaccacaabcbbcccbabaacbcabaccbabcbaacaacccbbbacaacbbbbaabbcacacacbabcabcbcaabcccccaaaacacacccbcbcccbcccbccacacacbcacbabacabcccacbcbacbbcccbaabcacbacacacabcabbaccbbabbaacaaccccabbbbccbcbbaaccbcbccbbcabbbbbbbcabcabcabbbaaacabccbcbbbaccacbbcccbaaacacbbbabbccbbaabcabbccaccacbbbababbbccbccbccbcacabbaabcabaaacabccabcacbcaaabbbbcacbcccbcaaaaccbcbbaabaaacccabbcabbccccccaaabbcabcbbccacabbcabbbbbccaabcabbcbcbcccbcbbcbbbacbcccabbbbababacabccbcabbcbbbaaccabcbcbcbbbbacccbbcccabbaaaacbbcbcbbbbcbabcccbaacacacbcccbccacaaababcacabccaabbcaabaaaaacacabcbccbbabaaacbcbabcabbcacbcaacaaaabcaccbbcbbbabbacbbabbbbacbbaacbcbacbbabacaacbbacccaacbcaacaacacbbcabcabcaaabccaaacaaabcbaccbcbacaacaacccbaabacacbcbcbbbbcbbababbcabacccccbaaabaacbaaccbbbccccaabacacaabbabaccbcacabbbabccbbbbcabacbcbbcbaabacacabbcaaabbcbcabbabcaabacaaaabcbcbaabacabbccabbabbcbbbbccaccbcacbaaabcaaaaabccabababcabbbaabbccccaaaabacbabacbacacbbcbabcacabacccbbaaccabbaacbacababbacacbbbbbbbacaacccccbbbacabbbcaabbbaaaabacbbacacacacccacaaaaabbcccbaccccbcabcacccbccbcaababbccaabbaabbabaaabbacaabcbcccababccbbccbbbbbcabcbacbbbacbbaacaccbaababcaacabbcabbacbbacaacbaaccbbbabaacccaaaacacbaaccbbaaabccaccbccbabbaacbcbccbaaacabaacaabbbcbacaaaacaabaabbbaaabcabacacbaaaabaabbbcaaacaacbbccccbabccaccbccabaaaaaabacbcbaaacabaccccabcccaaccbbcccabccccabcacccccbbaccaccccabcaacaacaaccbabaaabccbccacbababacbcabacabcbbacccacaccccbabaaccabbaababbabaccbbccaccbbaccbbaacccbaabbaabbcabbcbaacbcbaccaaccacbcbacabccbcaacbabbacbbaacbccbcbcbbbccbaaccaccaaccaabcccbccbbabcabcaaabbcbbcabbaaabbccbbbcbabbaacbcabcbbccaccccbcbaccacabbbbbacbbbbbaaabacbbccccbbababbacbbcbcaacbcacacabaccbaabccbbcabacbcbbbbabbabacbcacbabaaccccaaabbcabccaabbbbabaaccbabbcbaaacbbbbbccccbbcabbcacbacbaabccbbbabcbcabaccabcabbaaabaacbcbccabcaabccaaabbaacbcbbabbcacbccbbacbabaacbbbcbabcccbbcbaaabcaabbbcbaccbaaccbaaccaaabcbbabaaacbbbbabbaccbcaabbbaaabbbcbbcbcaaaaabaacaabbaccbaaacbaabcccbcbcabcbcbbbacaaaaacaaaaaabcbbccacccbbcabcbcabababacccbaccababcbabbbbaaabbaacaaabaababbcbbbbbbaaaabacacaccacccaccbaaabcabcbccaaacabcaaaccabccccacabccaccbaaaabbbbbcbcbacbacaaccbcbbbcbacccaaabbbccbacbccaabbbcbcccccabaaaababaabbbbbaabccaccbabbbcbcbbbacbbbacacaaabcabbbccbcabbcaaacabaabbcacbbccbbaccccccaabbcaabcbbccbbbcaacabacbbbbbcbcbabbcbbbaacbcabaacbabccacbccaabcbaacbccaccccacbbababbbabcabcabbccaabbbbbaabbbbcaabaacbabccaaaabcabbcaabbccbcbcbccacbabacaacabbbcacabcbbababaaccabbbcbaaaccbababbbaccaacbcaacbcbcbacabbccccbcccaacccacaccbaccbcaccbbbaabcccbbccbcccbbbcaabaacbabaaaabbbccbbbabaccacaaabbaaaacabaaaaaabcabacabaaaabbabbbbcccbcbcaccbcccabbcabccabcabcbccccaabaabccbbbccbbbcbcbcabaaaaabaaccabbaaccbcbcaaaacacbaabaccbbbbabcbbaaacbbccabcacbaaabcaabaacabaaaacaabbbbcbaabbcccbbabbaaccccaabcbacbacaaccbbaccaaacbababbbabcabbaacccacaccbbbaabbcbcabaabcbabacaabccbbacabcabbcbcbabccbccaaaacabcbccaaaabcbabcbacbbbcbaccaabcbcbcccbbaccbaabcacacacbabaccbbaccaabbbbccbbcbcacbcccacccacaacbaacccccbbcacbabcabaccaabababaccacabcaccbabacaabbbabcbbbccbbaccccaabaabacabaccbabbabaabaccccabbaaaabcbccbcbccbcacbbbbcbccccbbacabcaaccacabbbccaacacacbaaacbaaaacbcbccbbcbcccacbbbccabcbcbbaabbbaaaaabacabaccabaccbccacbbcbaabcabcaccacbbabbabbcbbacccaaccbcbaabacabcbaccccabcbccaabaabbabcbcaccaabbcbcabbbacabcabaabcccababbbcbaaaabbbbcbabbbabcaaacbcbabccbbbcaaccccbcaaccccccabcbabacabbbccbbccacbaaaacaaacabcabcababbaaccbbcaccccacabccacabaaaacaabcaabbcbaaabbcccccabacbacacbbbbacbcbccacccccacaacacccabacbaabbababbaaaaaaccabbcaaaabbcacccbbcaabbcbbcccabccacbbcabbaaabbaaacbbaacbcbaccabcbacaccbcbccacbabcbbababaabbcbbbcabacaaababacbcbababbbccabaaabbcbbbcabaacbcabcbccabccbacccccccbbabbaccaabaacabbbaccbccaacbccabcbabaabbcbabbcbcabcbacccbbbbaacbccaacbbbcabaaaabacccaabbcbcccacaacabcabcbaabbcbbbaabaaabcabbacbabaababcccabcccbcaabbcabbcbcbaccbacabacbacacbacaaabbbcaacaaaacbabbccacabacbcccabaacbbbcbacbbbbbaaaabcabaaacaccbcbacacaaacabbbcbabbcccbbcbcccacbaacbaccbbbabccccbacbbaabaccbacbaaaabcaabbbaaabacbcccacbbabcbcaabbbbbcbcbccccaabbcccbcbabacbbbcbcaaccaabcbcccaabcccbacbbccbacabaabaabbaaacccbbbcaabccaacbaccbbbccaaaacacabbcccacacbcccaaacbbbabbbbcbabbcbccacabaaccbbcaccbbcabcbbcbabbbaccaacabbcbccaaabccccbaccccbaaabbaccabaaacaccabaccaaaaccbbcbaaccbccbbbcbccbacbaabbbabaabcbacbcbbbacabaabbabaabaabbcacbbccbaacbbcccbbcacccbcbabacacabcacbacbbabcabbcbaaccbbabbacacaacccaacbcccbcbacbbcbbcbaacbbcccaccbbaacbbbaabcbaaacbcaaaaabbbbaabaacababbcbbccaaccbccaaccaaaabccaccbccaabbabbbcabaccbacacbcacbacaaaacababacaacaabaaaabacabaaaabcabaccbbbaacaaabbbaababbbccbababbcbbaccbbcacaaccbabbbbbbccccbccbccbbacbbbabcccbaaacbcbcbcacaabaacbbcbcabcababbbaccaacaabaaacbaaacabcaabccbabcbbbcccacbacbacacabbcccccbcbccbcbbbabbbccbbcaccbcabbcbaacaaccaacbcabccaacacbabacccacabccbbacbbbbcacaaaabbaaacbbabbbaaacaacabaacabbaacbcccbbbbbbaabbbabbaccccbaacbacacbccccbbacbcacbbbcabcaccabcbababbcaccacbaabccaaabbacbccacbcaaababaacbacbcaccccccbcbacbbabcbbbbcbbacaacbbacaaaccbbabcccbabcbacbbccbcbbaccaaaacbaccaabbbccaaacabbcaaaacabaaaacbbabaaaabbcaaabbbbbcbccbcacaabcaaacbcbcacbcbcacccabacabbabccaaaabbbbbcbccabbababccbbbbcbbcabaacaabbbcacbabaacbbcaccbcababbbcabacbbaabaaabbacccabbccaacabcabccacbaabbabaaccbbbacbbcacabacbcbbaaacbabcaccbcbabaacbbbabbacaaacacacbbaabccaacacccaaacabccbabcbcbbcaccccaccbbcbccccccaaacccbaabcbbcaaacbccbabbcbbabbccacbbaabbaacacbbccbbaacabbccbababcabaaccbbbbacbabccacbbbbbcaaababcabacababacabbabbabcbbbcbcbbabbccacacacbaccabccbcabbbbcbaabbcbbacbcababcabbabcababaacaacbbbaaaaacabbcacabcbcbcbabccbbbcaaaacabaabbcaccabacbbababbccabacababccaacbcacaacbabaaacababcbacababccabaacccaccbcbbccbcbabbcbaabacaabcbbbbbbbacabbccbccccbbbcacccabcbcacaabacbaababccabbcccccbcccacbcbabcbabcbcccabbcbcacabbbbcabbccbbacbbaaacbccbccabccbaaacaabccaacaaabbcaabbbcbbaabaaccccaaacbaaccccaabaaabbaaabcbaaccaaccccbaaabbccaccbbacccccaacaaacacbcbcbcbbacacabbabacaacccccbaaaccabcabcabcaaabacacbccaccbabcaaaacacccabacccabccbcaabcaaacaccccbbabcababbbcabacbcbbcabacacbcabacbbbbccaabcbabbabccbcbcacbcbbacbacacbbaccabbaccababbcaaabccacbabcaabbbbacbcbacbcacbacaabcaaababaacbcaacbbccabbacbaaacaacabaaaaaaccabaabcabcababacbcaabbaacbccbbbbbacbacaccacbccaabaccbcbabaababccbcbaccbcaabbcbbaaaabbccbbbbbbacacaaaaccaabcaccbcbbbbaaabbcaabbcccbaccbaaaaabccacacbacaccbccababcbccbabcbccabaccccbabcbbacbbbccbcccbcaccbbbcbbbaccbbbbbabbccbcbcbbcacbcbcacacababbcbbcccaacacabcbababbbcaaaacbbbbacaacbcabcacbcbcbcbcabccbacccacacbaaabaaccccccccccbccbcacccbbcbacaaaacaaccbaacbacbababbcbabbbbbcccbbabbcabbcaaacccacbbbcbacbcbbabbcbcbababcbcbbcabcbbccbbcbbabcbaaacabbacabccbabaacccccbcbacbacabacbbbcaacbabacbbacaabaccccbcccabcabbbaacaaacbaaccbbacaababaaacabcaccabcabbacaaacbabaababbacbabcbaacbabcabbbbbabbaabbacacacacababccbaabcbbabaacacbaaabbbcbabbbaccbbbaabccbbcaaccabbcabcaaabbbccccabbbbbacbabbcacaacccacbbabbaccbabbacacabcaababbbbbacbcabbbacabbabcbabaaaaabcbcaccabbbcbcbaaacccacacacbcccbbaaacbbcbbbaaacaccabbccacccccaabbbabccbabccabccbbbcbccabccaccacaabcbbbbabccbaaaaccccbacaacccaaaababbacbbcabbacbbacbcaacbcbcacccaaabacccbbbccabbabaccbabbbcaabacabbcacbcbbababacacbbccbccacbbbbbcbaaabcbcbabaccabbcccabbccaacabbcbcbcbcbccababbbabccaabbbcaccaccabcbbcccccccaaacacbbbacaaabcaaabcbabccaacabbbcbccbaaaaaccabcbcaaabbcbccabbbbcbaabbbbabccbbaacbcccacacaacbbaccacbbcbbccbcbcaacbabcacabbcacbaccbbcacccbbbcbacbbabcaccccbbaccaaabcaacacaaaccbccbabcaabcbbacbcbcbbccbcccaabccacbcabaacbcbcbbccbabcabbacacccacabbaabbaacbbabccabbbbbcbacbabacbaccbcaccaaacbcaccabcbbaccbcabcbaaccbabbbabbacbbcaacbccbcaabbabcaabccacbacbccbbabaabbcabcbbcbccacabcabcbabccccaccbabacabbbbaccbbabaccacaaabcbaacbcbacababccacbacbbaccaabccbbacabbcaaaaaabcccccbacbbbbaaaacccbcccabaaccaaabbcccbcabbcabacbbccaacbbcabacaaccccbccacccaaacbcccaccbacbbaabbbabcccbcbaccaabcbacbbbbcbbcababcacaacbcaacbacccaccabbabcbbcbbbcbbabbcbbbbcaabcabacaaccbabacacabbcccabccbaaacaaabcbbbaabaacccbcccaccbbbabcbaaccabbbbcababbccbbbbababcabbbabaabbbbabbbbccbcbbabbaccbbcccbbbacaaabcbbbbcabbaabbcacaaabbbbccbccbaabccbaabacbbbcaabccbaabbbcbababbcabcbbcccacbbbabcacbbbbccbccaaacbabacbbccabcaacaccbbbcbbcbccbaccaabbbaacacccabaabacaabcacccacacbaabbcbbcbaacbbcbbcbababcbbabbabbcabbccbcabcabbaccaaabaabaaccabbbcbbaccbccbabbacccbbbacaabbacabccccbacbbbcaaabbbbacbbbacccacbcaacbbbcbcbbcccbaabccbcccbaababcbccaaccbabacaccaaaccbcbbbcbbbccbabbcbabbcccbbbcbbacbcabacbabacbccbacbabbbbacbccbaaccbcbcabbcacaaabaccbcbabcbaccaccccabbcbccabacacacbbcaaacbacacbcbabccbccabccbabbabcbaabbcaabccccaacacccbcbccbcaababacbacbabbabcabacabaaaccbbccababcccabacaacaacbbcacbacaacaaaabaabbaacacacbaaaababccbaaabbacbbccccbcbaacabbacaabaccabcababacbcccabaaabaaccccbcabbccacabacbcbcacbcaccbaccaacbbaccbabaaccabbccbbbaabccbaaccbaabbccaaaabacbbbcaacbabcaaaabcccbbcbcaaaacacccbcccbbcacbbaaabccacccaccbbaacaabbacbabbcacabcababaccababbbabcbacbbcbbabcbbbbcbabbcbababcabbccaaabbbcacaaccabcbbaaabbacccaccbcbcbbcbcacbaacccbbcbccbcacccbbbccacbcbbabcccbcaccaabcacbacbaabcbabcabccabcccabbcbbcbabababcbbabacbcbccabbaaccacbccaaccacbbcbbbacacbccbabccabbbbacbcbcbbcccababacbaccabcbaaccaccacacabbacabaaccaacbccbcbabaccbacbaaaaabacbbbacccbcabbbcbcacaacbacacabbbbcbcacaccacacaaaaccabbacabcbcbcbacaaaaacbaccabccccbacbcaaaaabbacaacbaaacabcacacbcbacbabaaababbbacaccbaabaccaacbbcaccccaaccbcaabaacbbabbbbccbbbcaacabcacbcbabcccccbaaccbaabccbcabccbaaaaaaccabcccaacbcaccaccacbaaababccbbccbaacabbabccaaaacabcbbaaacbbcabbabcbbacbbacaaabbacbbaabcacbbcabccbbaabacabccbacaabacabaccbbaaabcaacabcbccacbcccacbbabcbabccacabcbababaabccabcabaaaccbbcabbccccaabbaaaacbcbccabcbcbccacbabacbcababccbbabbcccbaaacabccbaccbaacccabbbcccbabbcaabcbcacccaabbbcbabbaaccbaccbbabcbabcaaaaaaccbccccabbbaacaacabbacbcbcccbcccbacacbcbcbaaccbccbcbbacaacccabbaaacaaccbacccabaccbabbccaabaababaabcabcbcbbcccacaccabbcbaaaabcabcacccbabaccababacbcabacbcacaaccabaabaacccabbbaabcbbbccacbbbcccccbacacbabaababaccacacbccccbcacbcbaccbbacccccccbccbbcaccbcbaaccaacbbabacabbbbcbbccbbcaabbaaacaabbacbabbbcbbcccaacbcbcbabbcbccacccccbbbccabbcbbaaacabacaccbcbcccbabbcbacbcbbcbaaacbabccabcccaabbccacaaabbcccbcccacbbccaaccbccbabacacccccaabcbbbbaabbaccaacccabcaccbaccbbbcaabbacaabbbcaabbbbcacbabbbbccabbaacbbabacccbcabbbacbabacbbbcaaaaaaacaacbbbbcaaabcababcabbcaccccaacbaabbcbababbcabbabccacbbbaccbbccacbaaccaccbbaccaacbacacbaccbaabacacababbcacaabcbaaaccacccaaaaabaaacbbaaacabacbababbacbbcbabbababbcacbbcbcbbbbcacaaacaabaabbaaacaaaabbcaacbabccabbbababaaccbabbaaaacacaaabacbbcabcbbaabbcbcabbabcbbcaabaccaccbcbbbacbcbccabbcaabbcaccbbaacaaaacabcacbcabbacaaaaaccccbbacbccccccaabccbbbbbbbccbcccbcabbccbacbccbccbbacabbbacbabbaacccbacbcbbbabccccbabcaccabbbccccabccbccbbbbbccbbbcabaacaabcbcbacccacccaabaabaaabacbbaccaaaabbcbcbbcaaacccabbaaabcccacbccbabacabcccbacabccabacabacccbccbbcbbaabcbcbbcbcccacbbbacbcabcbccaaaacbacbcacababccbaccaaccabbbbbcbcbbcaabccacbaaaaaaaabbaaabababbacbbbcbaacabaacbbaccbcbacbcbbbcaccccabbacccbabbbcbcbbbabcabacabaacaaacccababbbcaaacbcaaaccabcacbbbabcacacccccbabcbacabaccabbaababbabaacbccabcacccacaacbbbccaaaccccbcbabaaccacbbabbabccabbacabbbbbbaaacabaaccbbacbbacabbaaaaccbcbbccbcbcbccbaabcccaaababaabbabccaaccbbabaaccbaacbbbcaacabacaaababbaabbaacbbcbccababaaaacaccabcbbbbacaccabbaaacacababccbbccabbcbababaccacacbcabaaaccbbbcabcacabbbbbccaaccaabccbbbaabbcbccccbcaaabcbccbbaababcabbcbcabbcbccabacacaacaabacacababbacbcbbbbcbccbcaaccaabbbbaacaccccccababbcbaaabcacaacbbaacababcbbbabaccabacabacbabbbbbabccccbbabbcbbacbbacaacbabbcbbababbccbaacbaaabacccbcbbccccbcbcababbabbbbcacaaaacbcbbbcacacbacbbcacaabaababbbccbccacccaababaaaabcacbabcbcaaabcbcbbcbcababbaabbcbbbabbbbbcacaacaaacccabcacacaabcccbbbacabbbaacacabcbabbaacacabcabcbcacacbabccbcabacaabaaaaccccaaabbaaacabbaabbababcbaaacbcabbbaacbbcacccbbbabbcbcbaccbcbbbcbbbcacbacaccbababcacbcbabaacacbcccbaccbcabbbabaacaccbacaaccabaacbbaaacbbacbbbababaabacaabbcabcbbbcccabcacbbcaacbacabccbaaccabbaabaacaaacacabaacbacccaabbccbcbcaaccbaccabbcbcaaaccaccbcbabcbaaacbbcbabbbbaaaabacacbcbbaccbbbbbabcccbbacbcabbccacbaacccbaaccbaaaaccbabaaacbcbacaabbacabbabcabbbcacabcaacacbaccbabacaaacabaabbcacaaaccacbccbbccbbbaacabbbccccaaaabbacccacbabbacbcababbacabaabbacbbcbaacaaaccbaabcccbbacccccbcbaabcacccaacaaaaaccacabaacaabcbccaaccabacbcbccaaabbabbcbcabcabbbbcaabaccbaccabcccabcacbaabcbaaccabcaaacaaabbcabbcbcaacacbaacbacccacbcaaabccbabaaaaabcaacbabaacbacbacbcaaacaaaaababbacccacbbaaabcbbacabbccbcbccacaaccaccacaaaacccaababbabbcaaccaacabcbbcbcaaaaacabbccacaacacbccccbbabcacbbabcbcababcaaabcacbabcbccbabbbbbccabccbccabbacccbbaabaacbbabaacbcaacababaacababaabaabcabbabbcbacabbbcacbbccaacbccabbbccbabcaacbcaaaabababaccaaabbbcbacabccaccbbaaaccacccbababcbaaacaccabcbcbbcbcababacaaaaacbbbccbbcbabaaabbccbccbbcbcaacaabbaababcbcaaccacbcbccccacbacbabbcababbbbcbbcbaccbabbccbbacacbbcccbaccbcccabbabcabbbcabcaaabbbabababcbbacbccabaabbcaabcbccbbaabacbacaabaacbababbcabcbaaabcabbccbabbbaacbacbcaaacaccccccbcabbbacabaccacaccacbbbcbbcbbbaacaabaccccccbcccacbcabbaabbaacbbbbbaabbccaabbabacbcaaabccaabbcabaabbabbbaabbbaabbabcaaacabbacaabbabcbaabbcbbcccbbcacbbcbaaaaccaaaabaabccbbbacbbcabbbbbabccacbbbbbcabccbccabcabbbababccccabaacbabcbccccaacbccbcabaabcbbcbbcbabcacbbabaacbcaccbababcbcbacaacccaabcacccbccaabbbacaabacbbabaabbcbcbcbbcbbcabcbccbababcacacbccbaaaccaaaacbcbcbbabccabaababbcbcccacccaabbcbacccbacbbcbbbbaccaacaccbacaabbacbbcbcbcaabaababbacbaacacabbbcacacaaabacaabcacccabaacaacacbaaccabbbaabbabaabacbcbbbbabaabaacbabcbbabbccabbbbabacbcaacabbcabbbcacbabcaacaaccccbabbaaaccabcabacaabacabccacaabcbccbacacabccaaaccababacbbcacbaccbcccbabbbbacaabbbacbaabbcbaabbabbccbaacacbaabcabcabbcccbcaacbaaababcbabbbabbbbabacacccbcaaccaacbaccabcaaacbbaabaccaabbaccbcbbbabaacccbcaaaacbcaccbbcaabaccacacababcccbbcccbbbbbaaccbacbbbbccbcbabcaabbcaabbbaaaacaaabbbccbcbbccbcaacbaacabacaabcaacacccbaccabccaaaabcaaccabcacbcbcbcccaaaacbcababaaabcbccbbaacbcaaacbabacbabcbcbacbcabbcbbaccccbccbcbabbcbcacbabbabbccabcccbacbbaababbaccbbcaabbbacaaabcbabbaaaabcaaaacccccaabbbbaaaaaaaccaaaaabcbacaccaabccbacabbabbcbcaaabcaabcacacaaacaaaabaccbbbabaaabaaccbbcacaaabbbababbbccababcbacbabacabbcabcbbacbbcbcbbbabbcaacababbbbacbbabaaabababbccaabacaacbbcbbccacccbbaababaccccccbcbbbccacabbabbacacccbcbacccbcacbbbbaacbabaabcaaacbbbccbabbccaaaccccbbabacbacaacaaacabcccbacccaacbabaacbccaabbabaaabbacbbccabcbbcbaccbcccbccccabcabbabcbcbcbcaccabbcacbbbbabccbcabcbaaaaaaaaccabaabbacbcaccabacbcabcbcbcbcbbbccbbcabbcabccabbaaccaccababcaaacbbabaabccbbabcaccbbacacbbaccbabbcacaccbaccbbbacbbaccbcabacacbbcaaaccbacbcbccaabaacabcabaaaaaaacbcacbccbbcbbaacabababbcbbcbacaaabbccaccbabbcbaabbbaaaabbccbabbabbbbabbbaaacbaabbacacaaabbbbcaacacaaccccbbacccbcbaabcbacaacccbcabcaaacaabbbccaaaccacccbcccaaaaccbbbbabaabbacabcbbccbbccabaccabaaaabcbccbbbabbbcccbcbabcabbbcabacccbbbccaccbbccacabbacccbbbbcaacabacbbccbbcbbacccbbbbbccccaacbcabbccccacaacaababcccbcaccaaccbccbccabbbcaaabbaccbcaaaaccccbccaacacbcccaaaacacccabbcaacbbcacbaacbccbbbabbbababcaaaaabbbccabccbbbcaacaabacbbcaabccaccbbaccabbabbbbcacbbaaaaacacbcabacbacbaacccaaacbaabcacbacccabbcaccbbcbaacbabccaccacccaababcaaccabaabacbbbccbaacaaaabacacbaaccacaabcccbccabbaacabcbabbbcccccbbacbbccbbabcbaacbabbcaccbacaaaacbacaccaabcabbbcbcabcccbacbcacbabaabbbabacccbccbabcbcabcaccbaccccaccbbbbcbcbabbaaaccbbabcbcaabacbcaabcaccccabccaaacbaccacabbcacbcbacbbcabcbcaacbabbcccabcbbccbcaabbabbcaacabccbbcbaababaaabccbcaabaabccbcaaacaabababbbabbacbbccabacbbaaacabbaacbcccaccccabacccaaabcccaaaaaaabbbacabbccaaccccacaabcacbbccbcbaaaabaaaccbcccccabcbaaacaabbcccbbbaaccaaabcacaacabbbccabccbcbcacbaacbbccbcbcabbabacacccccbcaaaccbcccabbbcaaaaabcbbcaccbbaaabbacbcbbabaaccccbacaacaaabaaabaccaacacccabcbabcccabcacaaacabacbcabbaabcbbbcaaaababcabaabcccccccacaabbaaabccacbaaabccbccbacbcbaabacabaabbaaaccccccaababacaccababcbbacabbbbccbcabbccccabbbaacaabbcbccabcabaabbaccaabaabbaaccacaacaaacccbabccbcabacbababbcbaabaccaaacaacbaacacacaacaaaabcccccacbbcbacabbcbcbaababbcbacbaabbcbabccbaaaacacbcccbabccbacbcbbbcaaccccbaacbbbbaacacaacbbcaaaabcaabcbbbbcacbcccaccaccbaacbcabacabbbcaababbbbaacabaaabacccbcbcacacccbcbbacccaaaccbaacbabacaacccbcbacabcbbcacbaaaacaacabccbbbcbbcaaaaacaaababaacbbbcccbbbbaaabcaaacbcbbabcbbcccbccbcababacbaaabccbaabbbcbabaacbabbabbaabcbccabccbabaaabaccacbbaaacaaacbcccccbabaabbccabccbbbabbbcccbbccbcbcbbcbbcbbcccbaaabacaccacaacaacccaccabbcbccaccaaaaaaabacbbbbbbcbbbbbababbbcaabccaccaccabcbbccbbaacbbcbaaccbbabcbccabcabacaabbaccaacacccacbcbaabbcbbaccccacaaaabaccaacaacbbbbabcccaccbcbccbcaacabbbabacaaaaacabcbbccaabbbbbaabccabcbbccacaaabaabbcbbbaaccabccaccacbcaaaaaabcbbabbbacaccbbccaabcabababcacbcccccbccccaacaccbbbbcabacbacacbcccbabbacacbaaccacaccbbcbbaabccaccaccacbbcbbbbbaacbcbabacabbaaaaaaabcbbbcbccacaccbcbccbbaccbbccaccbacabaabbcabbacbcacbccbacabcbcbaacbbcbbbccbccbccbaaababcacabacbbcabcbbccbaabaccacabbcbbabcabbabbacaaaaabacacccaabbcaaacabaababacccbccbcbccacabaaaacaacbabccccaccccccbcbacccacccbabbcabbbbbacccbaaaaabbcccabaabaccabbabcacaabbcabcbcbbaccbbccbcacbaaacaccbcbbabcbcacbabcaccabaacbabcbbcaaacabbaaabacaacbaabbcacccaccbbabbcbabbbbcbabcaacccaccaaaacacabbcccaaaaaaccbbbbaabaababcbcccacbcbcaaababbbcbccbaacaaacbbccabcacbaaacbbbbabcbbbaaabaaacaabcababaaabbcaaabbbccbcaabaaaabbbbabbaacbcbbbccbcabacacccbcaaacbcabcccbbcbcbaaacabbcaacabaabacbbabccbaacccbababbabcbbcbcabacaaaabbacacabcbccaaabcaacbbaabaabaababacbaccaabcabbcbbcbcbbbaaabcaaaacbccaaacccbccbbabbcabaaaaababccaccaccaabaccbcbbabaaaccbcbbaaaccabbbacccbaabcbcbcbbaaaacbbbccacabacccacbbcbccaaccabcabbabccbcccabcccaacccbacbcaacaabbccccabbacacbaacbccaabababbcaaaaaccbbbcabcccaaacaccbbbccbaccbbbbcabcaaacbabaccbbcbcabbacabcbabbaacacabbccaccccabcacbccabcaccbbccccbccaacaccaaaaabbbbcbbaacabbbccacbcbbbabacaaabbbaaacbcbacbabcccccaaacacbccbbacaaaccbabbcccbcbacaccbabaccbbacabbabacabbbacaabcbcbbbcaacbbcabcbcbbbacbcbaaccbaabbbbbaaababccbacabccaabcbccacbbbbcbacbacacabbccccaaccacbaaaaaaacbcaaaaacccbaabaaabcccabbbbaabbabbcbababaccbccbcabbaabacbbbaccaaaababcaaabcbababbbbccbbacabcbbccaaababbaabbccbaaabcbcabccababbacccbcaabccbabccbcbaacbbabcaccbcbbbabccbababaabcbbbababbbaaaaacaabccccacaccacaaabaaaccbbccbabcbbccabbaccacccaaaaaccacaaaabcababcbbccabbbaacbbcacbbacaabcbcabacbbbccacbacaaaacaccbabacbcbbcacabababbcccacccacaabccbaaacccaabcbbaaacccbbabbabbaaaababacbcbbcabcabcbaccabaabbacaabaccacccaabbbcacbcacacabbcabbbbaabccaacabbcaaccbcbbabcaccabccbacccbabcbabcbbaccbbbbaccbbabbccbccbacaabacabcaacbcccbacaaaacbbbcbabbcbaacbacbbacbabcbbcccaabbcaaaabbaccbcacbbabcabcabacbcbcbcaacbababbccbbccbcabbbcabcccccababbcabbcabbbbbabcabcbbcbcbbbabbcbababaccabcabcbabbbcbccabccaacbbbabbabbacbccacbbabbcaaabbbcaaccbccbacccbcabaabcbacbabcaccaaccccaaccbcacccabbcbaccabcabcabccbaaabababaaaaaaabcbbcbcccbbaabbbaacbccabaacbccbcbacaaccbcbbacaabbbbacbcaaccacbcaaacbbcacbaacabccbbcaababccccbbabbacccbbcbbccacacacbbcccbccbaabacbabcbbccbcbbbbbacbccccaaccacccacbbcbcbacccabacacabcbacbccabcccbbaacbacabbbbaabaaabbacbcbbbccaacabbbbbabccaabbacbbbbccacbacacbabacaccabcaccabbbbaacbaabcaaacbcbbcccbacacabbbccaaaaccccaacaacaaccbaabcaabbccabcccbaaabbcaaaccccabaaaccbbbbabcbcacaaaaacaccbcbacbcabaaccbcccacabbcccaacaacccbbbaabcbcabaccacbccacaaaaccabbbbaababbbbbbccccbbcbaaaabaccccbccbbcabcbaaaaabccbbbacacabccbababbcbacacaabccbacaccacbacbccbcccabbbabbaaccacabcccccacbbaababbaaacacccbbcacacbcacbbccaccababcacaabacabbcacbcccaabbbaccbacbccbacccaacccccbbcacaabbbaaabccbcbabcabbcccbacbaaacbcbbccacaacccbcbbbcaacccaccbcaccbbccccbcbacbaabcabbcaccabcccbbbcaaccaaacacaaccaaabccccacbbccaaaabcbcacabbbacccbacbacaaaaabcacbcacbcccbcabbcbcacaaabaabbcaaaccbcbbacccbbcaabcbcbcbcacbcabbaaabcbaaabcaccabcccbbccaacabcbcacbabbbbccbcabaccbaacaccabccbbccbcbccbaaabaababccbbbaaabcccaaaacaacbbbcbbcabccbcbcbbaaacbaccccaaacaaaabbcaaaabcbabaacccaccccaabbbcbabccacbcccbbcccccaabccbcabcababbcbcacccbacbcaaccbbbabccbbbabacccbacbcaaabcbcaaabbcaababccbccbaabcacbcccbcbbcbaababcacacaccabcabaccbacccbaaaabababbcbaabbbabbaabaaaccacbbabccaabcababcbcbacccaaabacbbbbaabcabccccccaccabccbaabacbaccccacaabacccbbabaacabcccacbbabacccbaaaaacaaabbcbccaabaccbbaacbcaccabcccccaabccbcaabcaaaabbcaccabbbcaacabbaacbccbaaacbbbbababbcbaccbbcbaaababcbcccacccbccacacbcbbccacabccbccaaacbbaaabaaaacacbabcccabcbccacbbcaacacccbcaaaabcbabcbaaacabaaccaaaacabaaaccbcbbccabccbccbccabcbaabcabacbcabcabcbacbcbccaabcbcbaccbbaaabbcbbcacccaaacacbbcccacccbbbccaacbaacaabbbabbcaccabcccccaacccbbccaccbaaccccbcabcccbbabbcbaabccbaaaabcbaaacabaabcbaaccbcbbbaacbaacabacbbaabcabbcbbbbbacabbabacccbacaabbbcaccbbaacbaaabaaacaaacabcabaabbabacaaabaababccbbaabcbcbcacbabcacbcbacbbabaabaabcbaaabcbcaaaabbcabcbabbbbbbaabcccacccbccaaccaaaabbcabcbbaabbbbcbcbbaabccbbabacbbccccbcaccbbbcbabbcbcaaccacbcccabbabcbccbcacbcbbcbcbabcbcacccabacaccccacaaaabcbbbabccaabaaaaabababcacbabcaabbcaccbaabcbbcaacabbbccacbbacacbbaaaabbcccaaacacccbaccaacaacccabccabaaaaacaabbccbaaaaaacaabacbbbcbcbaccacbbccbbcacaacbababacccbcbaabbaacbcbbacccaabaaacbaccccabbcabacbbcbbacbaacbababcabccccbcbaacbbcbbaaabacccacbcccbccbaaccbcbabccbabccccbaaabbcccbbababbacaaaacabcaabbacabccbcaabcbbcabccccbbacabbcbbbcbbbccabbabccbcbaabacaaccbcabbcacabcabacababbbcccccabaabbcbcbbacbabacaacabacccaaabbcccaaaccacbccaabacaabacccaaabacacccbaaccaaabcbaacbbcbcaabaaaacbbabaaccbbaccbabbccabcccbcaabbcbacaacbbabbbbabcbbbcbccbbbccabcabbccbbcacccbabbbaccacaaacabbbabacbabcaaacaaabacbbacccccaccbbcacbabcbcbaaabbccaabccacbaaaacbacbcabababcccabbcbccbbaaaabbababbbcbbababababcbababbccbacbbaaabcccacabacaccccccbcccaaacabaacaacacabcccacbabcccbabaacaababaaacccaababbbbcccacccacaccbccabcaacbcbbabbaaacababccbaccaacbbcacaababbbbbabaabaacaacacacbaccbaabaccccaabcbabbccacbccabbcacacbbacbababcaacccbaaaacbaaababbccacaababacbbaaacccbaaaaccbabbcacaacbabaaabbbaacbbcacabaaabaccccabbaaccacbcbbbbbbbaacbcaaaacbbbbcbcbcaccabbccaccacabcaaabcacacabcccacbcaccacaacaccacbbbccbcacaccaaccccaabaaccbbbcccabcbabaabcabcbbccabbaaabbacabacaabbaaaabcacaacaabccabccccaaaaaaccccaaaabbbacbcabababbabcacbccbaaccababbcbbcbbabcccbcbbacbaaccbbcaccccabaccbaccabaccbccccbcccaccbbcacbccbacacacbcbbbbaabbbaaabaccacbbbaacbcbacbbbabcaabacabccaaacaaacaabcacbbcccacacbabacacaacbacbcccbbaacacacabacacacababcbcbcbcbacabacaaacacbbbcaccbbcaccabbbabacccbbaabbacacccccabbbcabbbcbccccbaccbabccbbccccccbaabaabbcabbbcbbabacaaccaccccbbcbacbcabaaacbcbcccabbabcbbbcbabbababacacbbccccaccacbccbaabacbccaccaabaabcbacbbcbcbbcbcacbbacaacccccbaaaaaacacbbbbbccabcacaccbabcbcccbacbcabaacababaccaccabacaacbccacccccbcccbbbbbaabcaaccbaabbaabaaacaabbcacbaabacaaabccbbbbbcbbbacabbbcbbbbbabacccccaccbcbaccbaabaacbaaacabcbbacccabbccbbacbabbabaabcbcaacbcccbbbbbcccccaccbcabacacccbccbbbcbcabaccccccccccaabaccababaaabbaacbbabbbabbcabcbbacbabaabbaacbacaacbbbabbbcaabccaaaccccbacbbabcacabacbcbccacacacaacaaababaaacbcccbbacbaccbbabbabbbaacbabccccabbcbcabcbaaacbbbcbbccbbabacccaabbcaabccccbaacccaacaaacccacbcbbbbabbcbaacaaacabbbaababbbbbcbbbacaccbabcacaababcbcaccbcbcabcaacbbaacbcabbbaacabcacacabbacbbabbabaabacbbaabaccbccbaaacbbccabacacbbbccbcacbabbcbbbbccabbbcbcacbcccacccccbbbcbbbcaaaabbccaccaabbbbccbbbaacbcccbaacaacabaabccabbcbacbbaaccbbbbbcbbacaabcbbcaacbbcbbcccbbcaababbcccbabbabaabccbaccaacbbcccaacbbcccabcbaacacabcababbbbabcabcbccccbaaabcacbcabaccbbaacacccbbbbaccccbabbabababcacbaabaaabbccbaaabacbacacccbaabababaacabacbbbabaaccbbabcacbbbbaacbbbcbbbcbbaacabbcacbaaababaaaccababbaacbabacbaaabacbabbccababbbcabcaabcbbcbcccccccacbccbcacabccbaacbababcaaccacbbacbcabbbcbbaaacbcbbacaabbbbacabbccaabaccbaacbbaaabcaababbcbccccbacbaaabbbcbabccbababacaccbaacaaccbcbbcbacbbaaacaabcacaaaaacbcbabaccacacacbcbabccbcacabacaaabaacabccacccabaabbaabcabbcbabacbbacbccaaaabacacbacbbcacaccabbbcccacaacbcacaaaaabbcabbbacbbcabbabccaacabbbacababccacababacbbcbbcccbbcccccacaacacacaccccbccbabbacabacbbcccaaccacabcbccaabcabcabbbbbabbacaccbbaacbbbbacbabbacbccbcbccbbcabacccbcbcaacabcacbaccacccccacbaaabaaababbbbbcccabbcaabccbcaababccbcbbbccbabbcaabaccabbbaccacccacabccaabbbacbaabccbaccbacaacccabcccacbcaccabacbcabcbccacabacaaaaaaaabbcaaaaacbcccbcbbbabbbccaacabcacbabbbbabaacbacabcbccbabcacabcbbabacccbcbcaacbacccbbacababacbbcbacaacacccacbcabbbcbcbaaaaabbaabaaacaabbcabbcbccbabacccccacccbcaaacaaccbcaabccbacbbbbaababcaaccacaaaaabaaabaabbbaacbbcacabaaaccabcbbbbbabaabbcaacabbccbacbccccbbbbccbaaaacbbacabcbcacbccacbbcaaaaabbabbbcaacacabcabacabbacbbbacccaabcbbccbabbcaaaccbbabccbcbbccbababbbcaacbccaaccaacbccaabccbcabbcccccaccacabbaaaaccbcbccbcaacaacbacaacbaabcbccbbacccacbbaababcccaaabcbacbcaaacbbcbccacbabbbbbaaccbbabcacccbaacbcbccbccacabccbbbccacbcabacaabcccbccbaacccaacaabacbaaaacbcbaaccababaaccbbabaccccbbaccbcbaaabacbbaccabcbbcccbabaaabcacaababbbcccbbacaabbcacbacabcaabbaacbbbababbcabbccbcbccacaacbabcbcbbbacabbaaabaacbacbacaccacbcbbababcbacbaaacbbabbbcccbacbabacbaccacbcbbbbbaabccaaacbbbaccbcbabbccccabacccccbbaabbaabcbbbbbacaaacacaacbaacbbbbcababcaabbcacccaccbcccbaaaaabcacaacacacacccacaccabbbbbabbcaaaabaaaaacbccccacabcbcacbaaacccbccacbccacbbcbaacaabaacaaabbaaabaccbaacbcbbccaabaaabcccbaccaacbaccbcabacacbcaccbbccacaabccababbacbcbbbcbbbccbcbcbaaabbbcaacbcbcaaabcabcccaaabcbcbcacabaaccccbcaaacbcbbabbcacccaabcaaacbbacbcccbcaaccccbcbbaabcbcaccbbbacaacbccccabbaaaacabaaabbcbaacaacacbbcabbbacbbabcabbcaacbbbcabbbccbcaabcbccaaccabbbbccbcbcccabaaabacbacacbcabbbaaacaaacaaaacabacbaabaccbccccaccababcbcababaaabcccacbbbaacbacacaababacbccbccbcbcccaabacccbbbbcaacccbacbaaacbccbaccabbbccacccbbaabcaccacbaaacaaaaccbbaabcbacaabcbabaaabbcbcccbbbbbcaaccbcccbccbcaabaaabbacaaaccabbbaaccaaccbacabcbbaccccbbaaaacccacaabaaabccbbabccbbbccbcaabbaacbbbabcbaccbcbccabccbccbaacccaaabccbacbacacacbbaccccccacbaabaaccacacbacbbbbcbaaccbaccbbbbccbbcbbaaabaaaabacbabcbcccbcacccaaabbbbccaccbcbaabccabccacbcacabccbbacbaacbacabbacccbcccccbbbaaaccabbbcbbbcbbccbbabaabacbcbcbcbcabaabbbbcbcbacccbcbbabcbabcbaabcaaaabcbccbbcaacbbbaabbccaacaccbaabbaaccbababcaacabbccaccbaaabcaacacacbaabbbacbcbabbaabcbbbbaccbbabbbacaaaacabbaaccabcaabcbccbccacaaabbbcaacccacbbcbaabacccabacaaccaababcabacacabbbbccbbacabcaccababbbcacccbcbcbbccccbcbacbcbcacccbbacaacaacacbbacababcacccbbcbaaaabababbacacccabacbbaaaabbacbcbacacabbbccbbacbcaabcacbbbacaacccbcacbaabcaabcbbcbabababacbbaccccbacabbaaabbaaacacbbcaccbacbbbaccacabccacbabababbacccbbbbcaccbaaabcbcaccbaccbabbbbccaccaabbbcaccbcacbaabcbaaaabaabcababaaacccbbacbbaacbbcccbccbaaacaabbcbacbbbaccbcacbbbaaccabccacccacabaacbccabcbacbaacbbaccbaabaccaccccccbbaaabcbaacacbcaaaaabbabcbcaaccaacaabbabcabaabaacccbcabaabaabaaabbbcccccabbacbbaabbaabbbbcaacbaababaccbbccccbaacbccaaaaabaaccccabaccbcccbacabbcabacacababbbaccbaaacabaababccacccabaccaccaccbabbbccabbaacbaccbbcabcbcbaaccbaccaccaaacbccbccbbbabbabaabbbaacbbacbbabaccbbbbcbababacbbcacacabcaaaabbaaaaaacbacbabcbbbcaabcccabbbbababcaacaabbcaabcaacbccbaacbbccaabccaacaabaaaaccbabcabbacaacccbaccaabcbcaacaabcaaccbaccbbaabbbaacccbccccaaacacaccbaaaccbbbacbbabaaabaccbbacaacbbabbcacbbbbccabaaabacccaccabbcaabbcacaaabbacbbabaacaacccbcbbabababaccccaaaaacacbacacbacccbaabaccbaaabacbcbbcccaaabcabcbcacabacabcbabcbcbbcabaacabaabccbccbaaccccabcbbacccbbcacbbbabbccaccbbaababcacacbacaaccaabbcccabcaccababaacabcbbcaaabcbcbbcabaacacbcabcbbbbbaaababbbbbababacaacbcaabbabccbcaaacccaabbbbccabbaaccaaabaaacbbcaacbbcbaccbbbccaabbcbaaabaaccaaacbbbcabaccbabbcbccbbacababcccbaababcbcbccaccbbabbcaabcbacbbbcaccacbbcbcbacccbbbcacbabccaccaabcbaaabcabccbbababbacbabcbcaaacbacaaabccaabaccbaabbbabaacaaaaacccbaccacabbacbcbbcccbcbaccacccbaaccacaccacabcbaababaacbcbabacbaccbbbabbaccabccacaabcbcbaccaabaacacccbbcccabcaccabbaaccababaabbabbaaccbbaacbaaaacbccacaabccccacabbccbcbacbabaababcacbaabbbacabcccbacabcbabaacabcccccbcccbbacacbcccaccbabbacbbbbbaabbbbbabbcaabaccbaccacbbcbabcaabbaaaaaabcabcacbbccaacbbcbbbcbacaabbaacbcbbabcacbaacaacbacababbcbbbbabbccbaaaacbbaaaabbcccabaccaaabbccabaacabaacaacccaabbaaabbacccaacaccbacbbaaacabcbaabbabacbacacaaaaaacbcbccaaaaabbabacbbbccbaacaacccccabababbbcabcbcbcabbccbcbcacbcabccaaaccaacbbbbacbacccaabacbccabbcbbcabaccccccbbbccbaabbabbabbbcbbbcbaacbbbaabbabbcbaccccbbaababaaacaabaabbbbabcbcaacbabccaabcaabaccbccbbbaabccbabacacacacabaabaaaaaccaacbbababaabaccbbbabbcbabcaaababbcabaacaabababbbbcabacbcabbbbcccccacbaabcbbbabcbcbacbbcabcaccaaabcccbcbacbbbbabbaacbabbaaccbaabccbcbacabbccacbbbabbaaccacccaaaaaaababcccbcbbacccbcabccacbccaacabbccbbaccccbbcabbabbccbaaabaaaabaababcabbaabccbaccccbaacaabcccacccabaabaaacabababacbccccccaccbaabbccaaaaccbacbaabcaacbacbcababcbbbbbcbacbbbaabccbabababbcbbcabccacbcbacbcabacbaacbbcabbcbcbcbbacbacbbcaaacabbbcabaacbccbaacaccbbaaaabbcacabbcabacabbbccacabaabbcaababcaaababcbbccbacabcbbbbababbcccccbabacbaccaaabbccaaacaccaabcbcabacaccbcbccabaaababbbbbcaacaccbaacacaaaccaaccccaaacaccccbbbabcccabaaabbacbbaacbabbbcacbaabbbcaabcacbcccbcacaaacccccacaacccbccbabaccccaaccccaccabcaacbcaaaacccacaacaaabbcaacacaccbacbcccbcacabaccaabccacbccbaaabcacbbcaabbaabaccbcbcaacaacacbababbcbabaacbbbccaabaccaacbababcbabaccaaaaccbaccbcabcbccacccbbcaabcacbabbabcbbacabbabaacabbbbbbcccaaaabbbacaacacccacbacabbccbbbabccccbcaacabcbccbcacaabaccbccbababbaacbcccacccabccacccabcabbacccbcbcbcaababaccbaaccaabacccbaacaacbbcbaaaccbacabccbaabbabcaacbabcabbbcccbccbcacaabbcacbbbaccabcaccaabbbcabbcabbcbababaaccaccaaabcabcccaaaccaabcbacacacbacabbaaaaccaaaaaccabacabcaccbabcaaaccbacaccbcaacacccccbcaaacccbacccacaabcacacaacacacbaabbcacbacbcbabcacbbacbcacabaabacabcbabbabcaccaaababcbcaaaaccacccaacaacaaaacbcbcbcbbcccbccaabbaabaaacbaaaaacccbccaaabbcccccbacaaaabcbabaccabcababbaccccabcbcaaaacaabacacbabbcbcacbacccbaabacaccbabbacbcccbcaacccbccbbcbacbabbaacccaccbcbcbccacccbaabbacbbcbccaabccbaaaabbccbabacbaaccbcccaacbaabccbcacbaaabcbcbcbaaaabbcbcabaaaabcbcaababcaacbccbacccaaaabbcbbbbbbccababacaacbacbcbcacababbbabccabcaabaaacabbaacccaaccbbabcbcabccabbcbcacaacccaacabccaaccbbcccbaaabbaaccbccccaccaabcbbacccaaaacaacaacbccaacccaaacbccaccabcbbcccaacbbbbcaaaacbbaacbcababbbccaabcccbabbcbacbaaaaaaaabaabbcbbbbccbcacbbcabbbaacaacbbbbabacaaccacacaccbcabbccaabcbbacbcaacbabbbcbcacbcbcccaacacaccaaaaacbccbccaacbbacbbccbbccbccbbbbcacbabccaacaaabcbacaaabcacacaaacbaccbcacbaacbccbccbcbccabcbcbabbabcbbcabcbccabacbabcaccccaacbcbbbbccaccccabaacabbabccbcaaababaaaccabcbccabbbcacacaaabcbaacbbaacabcccbcaabbaacbcccacabccabcacbabbabaabbccbcaabcbcbaccbbabbbaaabcabacaacbabacaccbbaabbbbaabaaacaacbabbacacabcbbccaabcccbaabbacbbbabacacaaccbabbabaccaccccacccbacbaccbbaabaacccaacabcbccacaacaacabaacacacacabcbcbcbacacaabbbcccbccaabccccababbabccbbaaccbbbcccacccbcccabbaacbaaacacbbcccbbaaabbaaabacaacbcbcbbacbcaaccabacbbccbccabcaacacbaaacbccacacbbbccabcbaacbaabbacbacccabaaacccccaccbbcbccbcbbbcccabaaccababcbbcaacabbabbaacbabbaababcbbccabaacabacbaccccababcbccabacacaabbbccaccbbbcccbcccaaabcccabcccbacbbbaccbccabcbbcbcccabccaaccbabacbcaaabacbaacacbccaabcbaabcabaacbbbcccbababbbbcbaccabbaaaccbabacbccccabccbcacabaaacbcacccaabbbbaabbccbcccbbbcaccacbccbacabbbabcbacccbabaaaaccabcaacbbbbbabbaabbbcbccababacaacccbbabbabbcbccbbbccbbcaaacbcccbcbabcbababacbcabbbbccacbcaacbbabacbcccaacbbabcaabbccbabcbbcbabaaabaacacccacbbcbabaacbacbbcacbcbcacababcbaacacccbbcaaccbbbababbabcabcbbcaaaccaabcaabcbcccbbbaccbaacaacbccccabaabaabcbbcbcbaccbbcbcccacbabccacbccaabcbababaaccbbaccabbbabababbababccacababaaaabcaaacbcabbaabcccbaccbbcaabccbcbcbaabbcabbacbaacbaacbaaacccccbcbbbbbacabacccacbcaacababccbbaabaaabcbaaaabbabbcacaacabcbcbbbabbabaccbaccbaccbaacacacacbbcabcaaaabcaaccabbbbbbacbcbababccccbbaababccbbabababaabcaaabbcbaabaacbabbbbaaabccaababcaaabbbababbacbabaabcabcabccabcbcbbbbabbaaabaaccbbbbcbaaccbbaababaccababcbbccabcacabbabcacbbbaaabacacbccbacbabaabcbbaacbaabaacbccccbcbacbabaacabbcbaccababcbaaacacccabbabacacaaaacabbaabacbababccccbcbbccacbbcbbbaaabacccbccaaccabcccbacbaccaabbcaccbcabaaabbabbbabbcbccbbbcaabbaabbcbbbbcbabbcbccacabbabccaaacbcacaabccababbcbacbbbccccbcaacbaccbbabcbaaabbaccabcbbbbbcbccccbaabcababcaacbaabaaaabbcbbbcbcbababaabccaabcbaccbbaaacbcbcbbcccbaaaccaccababbcbcabaacbcabbbcabbccbccabbcbabccbaaabcbaaacabbabacabccaaacbcbcbaaaccaccbabacbaaabbabcacbcaacaacbacbcbbbbabcabaabbbccacbbccccbbcbbaaacabaccabbcbcbabbabbacbccccbabbaabacbaccbacccbccbbbbbbbbacccccbaacbccbcbaabaaccacccaaccacbcaacbcacbacbacbaacaaccabcccbacbbccbbcbbbaaabcbcbbcabccaacccccbacacabcbaaaababbabbbccacbbaabbcbccbbccaaccbbcacbbabbcbabbbbabcbabccaaacaccbbbabaaccaabbaabcbcabbbaaacacaabaababbacbbabacabaacabababaacccbbbcbcbacabbbbcbcbcbbcbacbcccababccacbcccaabcabbaaacbcccbabbccbccabacbbbbbcbcccaaacaaabacbabcbbbccaabacaabacbcbcaaaacabababaccbbccbcbbbacaaaaabcaaaacbbcabbcaccbacbbcbbccbcaacbccbcababbbbbbbaaccbcbcbcbaaaccabcababbbbcbccbcabcbccbcababbccababbaabbabacccbaabcbacaaaaabbcbacaabbaaccababaccbcbccacaaabbaababcaabaaccaccaaaabcabbbbccbcaacccbbcbaccaccaccbbbaccabacaaaaabbcccbacccabccccaccacabcaccaaabbcbbcbbbbbaccaaccabbbbcbbcbbcabbbabbbcaacababbccabcbaabacbbcccacbbacbcabbacacaaacacccaaababbacbaabbacacbcabcbcccaaccbcbccaaabbccbacbcbbbbaacacbaabbbabbcaccbbbacbaabaaaabcaaabbccbacacccccccbacabaacccbacbcbaaabababaccbacacabbabaabbbbabacabbcbaacabaabbbaaabacabccaaaacacacbccbaaccbcbcbbbcaabbccacbcbabcabccbbabcbccbaabcaacabaacbbababbacabbabbcccabacabaacabcbbbabacacbcccabaacbccbbaaabaabaacbcacbabbaaccabacacbaacbaccccbbacaacbcbacbbcababaabaabccbcbccacabaccabbbbabcaccbabccaabcbcabbcabaccbaabbbbcabcbaaccccaaaabcbcbacbabacabaabbcccbcacbacbbcbbbbbbcbbaaccbbaababbacbcaaabcbbbbbcacccccbccbaccbabcaacbabaabccabacbcabbcacabbcaabbcabbbcabacbababcbbacacbabcbbcbcbbcbbcacbbbbcbaabaacccbacaaccacaccaabaaabbabccbbbccbbcbccabaaabbbccaacabbaccbbbabcacacbcbcbbacbbcaacaaacbcbaaacbacabbbbababbabaacbbbbbccaabcbbbbbabccbbacacbbbacbaccaaacaacbcbcbbbbaccaacbcbababcabaacabccabbcacbabccbccaabaacabbcabbbacccaacbacbbaacccacaaaabababaccaabaaaaacacbbbccbcbbabcabacacccabcabaabbbbabaabbcbccaccbacbbaabbaabbccccbabbbbaaabacbaabaaccacbaaccbaccbbbcbacbacbcbccabaacbbcccbbbcccabbbaacbbccbcaccbbacbbbaaaacbccaabcabbacbcbacaaabbabacaaacbcabaacbbacbbccaccbccbbbccbbaaccacbcccbbbcbacbcaacabbacaacabbaaabaaabcbbcbcaabbabaabbaabaaccacacbccabbcbcaaaccabcabbcabbaccacaabbabacbbabacaaccbacaabacccacbbcccbccacbbcbccccbaacbbacbccbbaacaccacabbacbccbbcbcabcbccbbcbabcbcacbaacbabbcaacbbbabbbccbcbccaaaacabbcccabbcaacabaabcacccbaacccacaacbbccacacbacaabcbacbccbacbccabbcacacbbabaabbcaacccbcbaabccbcaabaaccbabaababcbacbaaacabcaaaabbabaabbcabbcabcbabcabaaabbcabaabaaccacaabacccacbbabaccbcaacbcbacbcccccacacbbbccbacacbabccbacaaccacacbcacbbacabcbccccccaccbbacbbcbaaacbaaaacbcaaccabbacbcbbaacbbbbabcabbaaaccbaacbcccbbabbccccaccababababbbcbcacbabcbacbbabbcaccaaabbbcaccababbbacbbcbbcbbcbbaabccbbbbbaacaaaabbacaacbbabbcabcbcbcbbcaabaccbbbaacccccacaaabcaccaabbcccabaccabbcccbabbcabbcaabcacabccbababaacbbaaabbccaacabacaabaacbababbcbaacaacbcacccacccacbaaabaccbbbabccccaaacacabbcacaaccbaccbccaabcccbaaaabaacbcbababaaccabcccbccacacbcaccaacbbacbcaacabcbaababcabbababaabbabcaabcbcccbbacabaacbcbcbccacabacbabbcbbbaabcaacbbaacbbaabbcbaabacbcaacabcccbcaaaabcacabbcbbcbbacbccacabbcaccacbaacccbaabbacbaaacbabccbaabcacaaccabbcacabcbaccbbbcbcccabcabaacccaaabacaaabccbacccaaacbbacbacbbaacccbcbcabaaacbacbccbbcacbacccabbcaccbbbabcacbabaacacbcbbbbbcaccaaababbaabcbcababcabaaacbaaacccccccacbbcbabcbbbbcaaaabcaaacabbcabcabcaabbbcacaaabcbaaabcbcabccabaababacabbcbaaabccccbacbaabbccbcabababbbccabbccccbbbbacbbbbaccccabbcccccabcacabcbcabcbbabaaccbacacbbccbabcbaaaabccbabcbbbaacaacbabbbaaaabacaaacacacbabcaababcacbbacbbaacabacbabbcabaaabacacacaaccbabbaaccaabbcccccbcabcccbbbbbcccccabbacaabbabbcacbbacacbaccbabcbbabcabcabaacccbcabcbacccbcccccbbcbcbbcabccbcbbbabbaccbcabbcbcacbaaabbbbcacbaaacaaaaccaabccbcabcbabcaaaaabaabbccabababcbaccbccbaacbaabcabcbbbabbbaccbabaabbcccaacbacaccacbcccabbaabacbacbccbbbcbbcbbbbcbacaaccbcaababcbcccbcbccacbacbabaabcabaccbbcbbcbcabccabbacaccabcbcacaacbcbaaacbaccaaaccaacccabcbcaccbaaaabccbacacbacabbbbcaabaacabbbbbaabccbcaccbbbbbbbcccbabcbccccbbbacabaabcaccbabccaaaccbbbabccbbbbbcacbabbaccacaabaccabbaaaacbbcaabbcbaccccbaccccbacbbcbbbabccbcbbccaacccabbbcccccbabbbbabacabaaccaacabbabbaacbacbbbbaabcbacbbbccbccacbaaabcbcacbaccacbbcbccaabbbaacbabaaccbcbcacccbcabcabbacaccbacabbbbbccaaabbcbcbcacbaacacbababbcabbcbccabbbabbcccaabcbcbcbbabcaacacbbabcaabccbcbaabacabcbababbbbcbcacccabbcaaabcbcaacccaacabacaacacacaabccacbbbbbbcaacacabccbbbcbacbbbaabccaababacacbbbaabbbbacbbcbccbaaabccbccacacaabbccbbabbabccacbccbbbaaaacaccaaccaaabcabbcbacbccaacccbaabccabababbabbbbacabaabcacacccbcbbabcacbaacbaacbcacbcbaabbacacccbacbbabbabcbbcbcbcbccaccbaaabcccaaacacaccabbabbbababcbcbacaacccccbaabcabbbbcbaaaacbacbbbbbbbcabcaccbabacaccccbacbbabababacbabaaacccccccbbbccaaaaaabaacacbaccaaaccabcaccbbcabcbcaacccbccbabbababbcbabbcbcaacacbbbbabaababaccbacbbaccabccacbbaccacacbbcccccacaabacbcabaabaababbacacabcbcbbaacbbacaaaabbccccaabababbaaacabaabbacbaabcccbacbcbaccaccaacacbbcbcbbbbcbccaccaacacbccbbabcabbbcacaabbbccabacbbbbcacaabccabbcbbaabbacacbbabcbcacaabcabbbacabcbaacbccccaaaaacbbaabaaaabcabbbaabbccbbbbbbaabbabcbacbbacbabbacccaccabbcbbbbaabbbcbbbbbbcacaaccbbcbcaacacccababccbacccaaaacbcccbcbcacacccabacbabababaaaabccaaabcbcacccbcabcaccaccbbaaababbcbccabcbcaacacbaccbbacbcbababacacaccabbcbcaabcbbaabacabaccbccbbbcbabccabcccbbccbbccaccbbacacbbbbabcbcabccbbbcbbaccbabbcbbcaacabacbaacbbacacbccbaaaccacaabccbcccbcbcbccbaccbabacabaabaababbaacacbcaacabcacaaaaaaccaaabbbbcaacbabbbbabababcacbbaccacabacaabccaaacccaaccabbacaabbbbbbbbbcabbcabbabbcccaacbcacccccbcacaacccccbabccbaacacbbaaabcabacbcbaaacccabbcbaacaaabbcacabaaabbbcbababcbbbabbbccbccabaaccbccbccbbbcabcacacacccabcababcacaccbccbaaacccccaacabbcaaacaacacabacaabbcbbacccbabccacabcbbcbcabbaaabaabbacbcbcacaaacccaabcbccacbbccbbabcaacccbaacbbabacaccacaabccccbcbbbbbaaacbcbbbaabaacbbbccbbacacabacbbabacacbbabbccbbbbcabccaabcbcaacbbbcbacccabcbacbbacabcbcababacbcaaaaacbcabcbaccccccbcbbcbbbccbacabcbcbbbcbbabacacbcabbaccbccbbcaacbabbbbacccababaccccabbbbbaacccbcbcbbbbbcaacaaacccbbcaaabbaaaaaaacacbabaaabbbccbbaacaabbcbbbccabacaaaccaacbabcacbcbbacbccababcbaabaaacbaabcaacbccbcbbcbcabbacbcaccaacaaccbbbcaacacbccccbcacabbaacacabccabbcaabcbababbaccbabbabbaaccabacbcabbbcbcbcbbbbcaaabcabcbbcabcaaaaccaaccbaccacbaaaccccbccabacbcacbabacaacaacbbcabaccbbbabaacacaccbbbbabacaabbabcaaabacabcbaccbaacccbabcaacabbbaababbacbabbcbcbccccbccbbbcbbacbaabaacbcabcabccacbacbbabbcabbccbcbbcccabcccccbbaabbbacaacaaaabacabbbbbbbbccacabcabbccacbaabacaabcbbbcaabbbbaaacccacaacbccbcababbbccabccbbccababccbcaccaaaaccaacbcbcbcbbbbbbacccabcabaccabacbcbaacaabbbcabbccbaabcccbaccacbccabacbaacaabbcacaabcbbcbacbcbbaabccaccbacbbbccbbcacbcacbabcbbcacccabacbbbbcaababcbbaccabacacbbcccbbaabcacbcaacccababbbbabaaaaacbbcabacccaaacaaacbbabcaaccbccbbcbcbbbbaaccabbaaaaaaaccaccbabcbcabaabcaacbabcbcbbcccabbcccabaaabcbaccbcabccacaaaaabbacbbaccaabcabbbbcccbcbcaccabbccabccacccbcbbabaabaccbcccaacaccabbcbaccabacbcbcbccbcaccccaaccabaaacabbbbbaabaabacacacccaaccbbaaaccbaaabbcacaaccbaabbaaccacacbbabacaccbacacbbacbabbabcbacbbbbcabbbbbacbaabcbcaccbbaabbbabbaaabbabbabbcabbbaabcabbcccacbcaaccabbaaacabacabbabbcbbaaabcacbcababbacbcaccbccbbbacabcabcbbaaaccacaabbaccccbacbcabcabacbbccabcabcacbccacbabcbccacccabaabbabaabcbcbaabaaacbccbcacccabcccccccacababcbaccabccabcacbacbbccbacabbcabcabcccbcbaaacbbabaaabbbabccaacabcbaaaccbcabccccbbacbbcbcacaaaacccacbbabaacaccaabcbabaccababcaacbaccabbbccabccbbccbcaabaccbcaabbabbbbbaacabcbbaaaaacaabbaababbbacabccaaaaccbccbbbbbcacacccbaabbabbcabaaaaaccbabcbaaabbcbbbccbbcabccaaaabbbbcbbbcbbcaaabcacbaabbcaabaacbbcaccbcbbcbbaaacabcababbbabccbbbbcaabbccaccaabacacacbaabbbaacbbacccabcbcbbabccaaaaababcbcbbbacccbbaaaccccbcaabbaaacabbbaccabcababccbbcacbaccbaaabbccbaabcaaaabbcbabbbabbcccabcacaababbccabaccaaabcbabbcaccccbcacacabbabbaaaaabbabcbaccaacacbabcaacababbcccaaacbccaccccccbbaacbaaccbaabccbbccbaaabccbaacbaabbabcccbcbabbacaabacbacbcabaccbcccbcacaacabbbaaaabbbcacbbcbaaabccbaacbacacabccbbbabcbccbbbacbbaabababbbabbbacababbccbbaabbcbacbcbcabccabaccabccbbacaccabbabaababcbbbbbabbbcaaccababcaccbcbbbabbcccabaacccccaaabaacbcbaaabbccbabaabacaabbccbcacacabccaabbccbcacacaaabaaaabbbaaabbbabcaabcabbccaacbbbbbbabccabbbcbaaaaaccacaaccaaaabbcbcaccaccccaccaaaabcbbacaaabaaabcbbbcabbbacbaaabcababbabcbccbacbccbacacaccacaccccbbbcacbabcbbcbabcccaacaabababcbbbbaabbbaabbbbbacacccacaccabbcbbcbbbbcabaaabccacabaaccbcbcbabaabacacccaccbcbacabaaababcbcaacbabacbccaccccaacbbbccaaababbbcabbccbbacccabccbacbbacaaccbabbcbaccacbccacbbacbcbccacbabcaaccccbbaabbcccaabccabbbbbbcaabaacbaabaccbcbacbbaccaabaaaabbbaaccccbcacccbbaccbbcbcbbcbcaccccccbccbbcbacbcabbcbbbbaababcccaacacbbaaacaacbaaabccabbacacbcaabaaaaccaababbbbccbcbaacbbbbbcaccbaccbccaaabcccaccbccbaccabbbabbbcbbcacbbaccbbaaabbbcacbacabcaabacbccbcbacbbcacaaacbbcbacabbaabcbccbaaacbaabacbcbbcacaacbaaacaacabaabbcaccaabacaabcaaaaacbccaccacacbbccccbaccccbccabacacaaaccccbccabbbacacaacbcccbbcbcbaacaaaccaaaacacbbbbbbbbaababaabcbabcbaccccaacaccbabaabcbbbaccabcbaaacacabbcbbaaabbaccbccccabbcbcbbaccaaaaabccaaaaacaaaabacbbbcbccaabaabbacacaccbcacaccccbbbacaccccabacabbbcbcbaabbbbccbaabcccbcbbbacbbbbaabaaccbbabaacaaaacaccacbccbacaaaaacbcbaaccccbccaacacaaaacbbcacacbaacbbbbcaaaccbcaabacbbbbbbbcbbaaaccacbbaccbbabbbcbbbaaccbcabacbabcbcabbcbcbbaaccacbcabbcbbbaacccaaacaababcacbaabccacbbacabbabaabaacaaaaacbbacbccaccbaacbccabccaacbbabbccbaccaacbccaacbacbaacbbabcaccbaacaaacaacbcacbcbbbaacacaccccccccaaaacbccacbababacabcbbbbbaacbcbaccaaabaccccccaacababbcccbbabbacccaabbbcbbaabbabbcacabbcccabbabbaabbbaacbbacbbbccbaaaabbaabaccbbaccbcccbcabcabcbbcacbaccbabbaccaacbbcabbcaacbcacbabcaaaaccbbabaaacaabcabbbccccbccbcbcabcbbaabbaacbabbbbbacbbcbbbcabaabcbccabccbcaccbabaaccacbabcbabbbaccabcbabbccaccababaccaacbbabbabbbacbabcbacababaabcabcbcaccacbaabaacaacabaacaccbaabaaccbababcacaacbbaacbbabbcbcacaabcbccbbbbaabcaabaabaacaabcbaaabaccbcbcaabccacabaacbcbbbbacbcbcaaccbbccbccaabbbbabccbcbbbbbbabbccbcbcbaaabaccacbcacbabbbbbaabbbbcabcacccabcaabbabbcbaacaaacbabcaaacbaccbabaccabccccbacaccbaaabbcacaacabbabcbacaaaaabbabbabcbbcbaaaaccaaabababbcacbabacbcbbbbabcabacacacbcccbacabbaabbbbccaccaaaccabcccacbcaaacbcbcacbcbabacabcccbcaaacaacaaccbbbccbcccccaabbbcbcbacbcbbbbacababaccbcbbbbababcccbacacbababcbabacabbaababaccbaccbaabcbbccbccccbbbaacacaaacbbabcabccbaaabbbaaccaaccbbbaacbaccccbbacccbcaacccbaccbbcccacabacacbcabaaaacbcbcbaabaaacbbbbacbccaabcbbacbcbabaacacaacacccbcbcbbcabccaaaabbbbaccacacccabaaabaacccccccbbbabbbbbbabaaacbcabcbccbccacacccbbaaacabbcccacabcabcabbbbccacaabbcaacbcbbaacbcacacccabbabcabcacbacbbacacabbcaaabacbcababaccbbacbcbcbbbacbcccaaabcabcaaccaabbcacacbcbacacaaaaccbcbaccbccbbcabbcbbcccbcbaaaccaabccccabbababbaabcbbbaaabbcabbbcacbcbcccaabaccccbbbcbcaababcccccbacbabacccbaaacabbcacaaacaaacaaaacabcbbabacbbcabbabbcbacbcaacacbcaccbcacbbaaabcabbabccbccbacacbcbcccbbcbbccbacbccccbcabaccccababcacccbbcbbccbabaacccaabacbcbabbaccbaabbbcccaaccbcbcaacabaaacacacacbcbacabcacbaacbbbccbabbacaccaabcbabbabbbaacbccaaabaacbbbacacbaaccbbababcbcaabcbbcbaccbabaababccbbaccaabcbbbcababacccabcaabcbaccbabbcacacbbacbccbbcabcbababbcbcbcaccacaabbaabbabbaccaacbbaabbbaacbcbacaabbcabcbaacbbccababbacbcccacaabaaccabaacbabcccbcbbacbbcacbabbcbabacaccbbabaaccbabcbaaaabacbcacbbbbaabbaaabcacbccababaabcaabbcacaaabcaabbaccbbbacbcbccaaaaabbabbacbbcabccbbacbccaaccacbacacbacacbaababbacabcbabcaaabbaacbacabcaabbccacccbabcabbcabbaabbabbacaabbcacbcacbaaabcbcacccabccccacacacbcaabbbcccbabaaabbaabccbacacacbaaabaaaccbcbbcbacaccccabacabaccbbaabbcabcbbbcacaacbacacaacabacbbaacabbcaaabcbcabbaabbbaaacbcacbbbcbcccbcbbaaaabcaacaabbaabcabbaaaccbccccccabbaaaaabccbbcabcabbccbaacabcbbaabcaccbabbbbcaaacccbcbabcabcbaacccccaabbbacccacbabcaccbababcccaabbbcacaabcccbccaccbcbcabcbacbcaccbaabccabcccbacbcbbcababacacccbbacaccacaabaabbbbabaccbccbacbacbabcccbbcbbaccabccabcbbbccbbccaacaccaaaccbbbaaabcbabbaccbbbbbbccccbcabccaababcabcbccabcaccaccaabaacbcbcccbbccccaaacccacacaabaabacbaacbaabcbacabcbbbcbaaaccbcabbcbacccaacbabcbcacaccaccaaaaaccbaccabbaaaabccacbbcaaabbaccaccccccbabaaabaabccbabcaccababcccabcaccaacbabbacbcabcaccbacacccacabacbccbbabcbbaacccaaabaaccaaccccccccaacbccbbbcabbbacccacbbbbabcacbacbbaaabbcccccacaccbbbacccccbcaacccbcbababcbcabcaabccaacaccbacbbaacaacacacbbaabbbababaccbcaaacabbacabcbbbbcaccbcaacbabababbacaaaaacaacccaaabacbbbcbbbacccaaabbbbaccbbbcacaccbacbbbaccbbcbcbaaccbbbbaacacaaccaccbbbabcbcbcbcccbbcbbccacccbcbcacbaaccbcaababcbbcbbcaabbcccccabccccbaabcbbaccaacbcaccbacaaccbbbcbbbbaccbcccccacabcbaaabcacabbccaaaacacccacabaababcabaaaccacaabbcbbcbcbabbcbcabbbcccbccaacbcccbcbacabacbcbbcacbaabbbbbbcbbcbbacaaabbaacaacacccaabaacbbaaaabbababacacccbaccabacbccbabacbcbabbccbabcbacacbcccabaccabaaccacccbcacbcaaababccccbcccccabcbcbbccaacabcaaccbaacbccbbccccbcbcbcbabaacacabbacbaaaaaabaaacbabaabcbaabcccaaaacbabaacabcbbbabacbaabbbccbccabcacbabbbcaabbaacbcaacacbaccaaabaccbcabcbbaaacaaacabacbcbabacbcabababcababacabcbcaababcaaacabcacbaccccccacbabbcbbcabcbcbcbbbbbacbbabbcaabacbbaaacaababcaabcbcaaccaccbaaacbaabaaababcacbaccacbcabcbbabcabaabcbcbbaaccbcaacabccbaabbccbccbabaaccccbcccbbbacaabacaaccccabcacacbbaaacbbcaaccbccbcaacbbcbccbcbbcaaabccaccaacaccbacbaacbaaaaccabcbaaccbcccbcacbacbacbbabbabbbcbaabbcaacccbccbbabaabbcaaacbbaabababccbbbbbabcbbabaacaaababbabcbaacabacacbbcbbcbbcabaacacacbaabaacabcabaaabcaabccabbbbcabaccaacbaaabaacccbbccacacacccbbbacacccacbbacbaacbcbcbaacbababbcbbbcbbaccbacacaabbaaabcacccbbacbbabccaccacccbacbbabcccccbaccccabbbacbaaaabbbcabababacbbaaabababcaacbccbcabcacaccbcbcccbcbbabcbaabcbcccbbacbcbcbaabaaccbbcbbbaabaccccaaccbbacababaaaababcbbacccbbcaabccaacaccbbabcccbcabbaaabbaabbcbccccacbaabaccbcccbcbaccbabbbccbbabbcbccbbbbaccaabcacccabaacacbcacbcccccbaabbccabcaccbccbbbcabbbcacbcbbbbbccbbabcccaaababbabccaccaabbcabacacbccbaaaabbcbcbcbbcacbabbbbcbabcbbbbaaaabccabacabbaccaccabbcabaaabbacacaacabaabcaccabbbbaaccbaacbccbcabbcccacacabaabcabaacaaacbbbacaacaabcababaccaaabaaacababbcbaacbbbacacababcaaabacbacbbaabbcacacbaccaacaccccbcaaaacbbbaaccccccbbbbbacbbbcababcbacbabaaacababbbbbbabababcaaabcccbbccbcbcbcaaacccbaaaacbccabccbcaabcbbcbcccaabaaaccbaacbabbcacbcabaaccaabaaaacacccccbbaabaabccacaacacbacacbacacccabcbbcbcabaacaacabcbacbbbcbbbcacccccabbaaccccccacbbbabcaaaacbbcbacaacbbabbacabbbcacabaacbcbacaaabcaacacabcbabbacabaacabcbacacccaaabccbaacbcbccbcaaaccacaacaccbbaccaabacccccbcccacabcacabccbcacabbaabaabcbbbccaacacbacaaccaabaaaacccccbabababbbcbcbbbbacabcaccbbaccbaccacbbbacabbcacbbcbcccaababcbcbcacccbbbaabcbacbacbccbcacabbaacabbcccbbabbccbbbaacbccabccccbacbcbaabbabcabcccacbccbcbbccbccbabcbbabcbccbbcbbbababbbcabaabccacaacbccabcbbcbbbcccbacaaccacaacaccacabccbabbcbaabbcbccbabbbaabacbabcbcaaccbaacbcbcabaabaccccbbacacbaccacabacccabccbccbaabbcaaaabccacbaabacccbcaaacaaacaaaabacccaccbcbcbaacabccbacccaaabcbccaacccbaacacaaabbccbcabccbbcabbbccbbaccbacaaaacaacccabccccccaabcaabccacbcaaccaccaccaababbaabbabbcaaaccbababbabbacaacbbccbaacbbbccaacabacbccbbbccbacbbccbabbbbccccacaccaacbbbcabcbaabcccabcbbaabaaaacbcbbcbabcbbaaacabaaacabcabbaacbcabcaaababcacccbcccacacbacbcaaabaabccbabbacbcbababbbcccbacabbabcaacaacbaaacbbaaaaccccabbcccbabbbbcabaabaaaabbccbccabccbaacacaaabaccbaaccabbcbcbcbccccabbccaaabbbbacbabcbaaacabccbbababaccaacbabcaccbbacbbbcbabbbabacaacccabccbbccbcbcbaacbabcbcbbccccabcbccbcacbbaabbacbbabbcbcccbcbcaacbbabbcbbbaabacbbaaaccbaaaacaacccbaaccacabcaabcabaaccbbaababcbccbaabbacaababbcbaacbbccbbcbabaaabbccbbabbbabcbccabacbacbbacabbaccaabaabaabcbaccacaabaabbccccccbaaaacbcaacbbaccaabcbbbaabcbbacbacbbbabbbabaacaccabaacbaabbcacccacccaaabbaabbbccaaaabbaaccabcbaaabbcacbbacaccaaabcabcbcbcabbcbcbcbacabcbbcccaabcbcbbacbbcbbcbbaabababccccacbaaccaaaaacaaaaaacbcaccacabbbbcbaabcbabcacbcbbccbbacccbaabababaaabcbaacabbcccbaabaccbccaccaacccbabacaabcbcbbbbbccaacaaabbbbcbcccaccbcccccbbcabccbaaacaacacbcbcccabcccabbccccccbccabaacaabacaaaaaccaccbbccaaccaabacaccccbcbaaccbaaabcacccbcccaaaacbabccbbcccaabbcccabacaaabaabccacaccabbcbbcabaacbbaccccccaacbccaacbccabcaabacacbabbbccaacbcababccbbacaabaccacbbaacaccababbbccaababbabcaacccbcabcababccaabbcccbaacaabcaacaaaacacbccacacabaabcacbacacbaaacccbaaababcacbcabcacabcbaacbbabcaaccaaacacccbbcbcaaaaabacaacbbabbbbbbaaabbbcaaacbacabcbbbacccbcbcbcbbccbaaabbcbccccbbcbaabbabaacbbabbaabaccabbbcccaabacbaabacabcaacaaaacbabbbbbbcacccaabcbaacabcaaccabaacbcbbcaacbaababaacbcbaaabccbccbabccbbbbbacbacbacbacabababccbbbccbccbcbccacacacacbccbbaaaacbbabcaccbbcaccbcbccbccacbacaabcccaccabccbbbcbababcacbcaccbbcaccbbabaaabbaccaaacaaabcbbabccbccbbbbcccabaacbaccaabcabcbcacacbaabbcacbacacccacabbababacbababccaabcbacabbccbaacaccbcaaacabacbcbbaccaaccbbaabbacabbaabcbacbcaabaaaababcaacbabaacbcacccabacaccaccbbccccaabcacbaacbaaabcbcbbbabababbacabbbbaccbcabbbbcababacbcaaccbbbbcbaabccaccccbbccaaaacacaaabcacccaabcbbacbbbbbbabbcbcacbcabbcabccaacaacbbbbbbcaccaabcaaaacaaacaacabcccaaabacabcaaaabaaccaacbaabbbaaaccaccbccaacacccbbcabaaaccbaababbacbbaaabacaacaaccbabcacccbbbacaaaabcbbababccbcacacbcbabaaabcccccaacaccccabbaccacacaabcaaabaacacacccaabcccbacbcccbcabaaaacabbaabccbcbbccccaaccbcababcbaaacacbbbbacbbcccabaabcbbbcbbacbaaaaacacccaccaccacabaccbacaccaaccbacbababcaaabbbcbcbbabcacaacabcaaaacabcccbbacbbbcbccabbcabbaabbbabbccaaabcbacaccabcccacbcbcbacacabacbbbbacbcbaacbcbaaababccabbacabbaccacaccbacabcaaccacacaabcacabbaaabbaabacbabacbcbbabbbbabaaacacccbaabaacccaaaacaccaaabcccbcbbbcbacbbabbcababababaabbabcbcacbcbcbcbbccbcbabbcbccbcbccbbacccabbabcaabcbccaabcacaaaabacaacacbaaccacaccbcbaacacaacbbacbbbbbccbbcacbaabaccabccbbacbaaababbcaabacaabcacbbaacbbccbaabbacccbbcbbcccbccababbcbacaaccccbabaaaaaabacaababbbcaaabbbbbaabcacbbacbcbaaccbcabbaabacbbbbbaaccbbcaaaaacbcbaabbcbcaacbacabbabbbcccbcbaccbccacccbacbbbcccccacccbcccbcbcbbababaabbcaaccaaabcacccabcbcaaacbbabacabacccabacbcbcabbbcbababcabbabcacaabaabcabcbbacabcbcaaacacaacaaabcacbcbcbbccbbcccccbbbbcabbabcaccbbccccbcaabbbacbbbcccbaabababccbcbcccbccabcccbacccaabacaacbbbaaaabacaabbcbbcabbabcbccccacaacabaccbbcbabbbbabcccaabcaabbaccccbbccccaabacbcbbaccbbcbababaaacaacbbaacbbacccabcaccccabcacaaccaabccabacabcbacbccaccbbbbabcaaabbcbaaacaacababbbbaaaababbbaaabbbacababcbbbaaabcbcccacbaacaccaccccccaaacbcaacaabababbcccbabcbbccacabaabaabbccbaabaaaabbbbaccaccaabcbbbcbbaccccaccabaaccbacacccbabababbbabbcccbabcabbbcbbcacabcaaabbabbccaccaccbbbacbabbcccbacbccababaacbcbcabaaaaccccbbccccbbccccabbaaaaabbbcccabcacccccbabcacccbabbbacbcbccabcbbabbbccbcccccbaabaabcacaccbbbbbbbbaaabbabbabcaabbbbbbcbcacbcbbbabaccbccaacbcbccaaabbcabbcbcaaaaabcaacacbcaacbccaccbcbaaaabcccaccbbccbbacacbcbaabbabbaabaccbcaccabbcbbbaabcaacaaabbbbbbbaaccacabcbccccbabccabcacbaaccbabcbbcbbcbcacccbbbaccacbcaaabbaaaccbbccccbbbbbaacaccaaccccaacbaacbccabbcbabcccbaccbaaccbccaabaaabcccccbbcbbcbccaaabaccccbbccbcbcccaabcaabcccaabccaccaccabacbcaabbcbcacacbacbbbcbcccbacccaccacccacabbbccbccbcbbccbaabaaabbabbbbcbabccbabaacaaacbabccbbbbbabccbcbaccaabbbbaaaabacccccbacccabbaabbacccbaabcbbcbacbccccabaabccbabbcaaccbccccabccccbabccccccaaaccbabcabaccacaababcaaababcbabcbbaabacccababacacabaababacacbabcbcabaabaabcbaabbbacbbcbcabbabbbabbaaabcbacaababacbbbccbcabcbbccabbcccabbacabbbaacccabbcabcbbacacccabccccbbbbcaaacbaaabaccaaabacbccaaabbbcaacabcbacaaaabcbbabbcacccbbacabbcccccbabacbcbbbbacacccbbcaacbbbacaaccaabbccaacbabbccacbbcccbbccaccbacbbcababbacbabcaacabcbaaabbaaccabbaacbcacacccbccbaacacbcabacacaccbacaaaababbacacaaaccbbcbcbbcbbaabbbabbaabababbbbbaaacabcccabbabccbaaacbbbcbabbaaaabaaabacbcbbacbbccbcbcbbbcbbabaababbcbccbbbaaaabaabccbcaaaaccbbbbcccbccbcaaaaacacccbaacbbcaacbcbcacccaabbacbcbbbbaabaccbbccbccacbacabaabbabacccbbbbacacbabbcababbabbbaccbaaccaaaabbaabacabbbccbabacccbbaacacaabcacababbacbbcabbcabccbabaaacbcaabcaacabcabcbacaccbbaacccbaaaaccaaababcaaaaaaaccaabbccabaaccbababacaabbbcaaccbcccacccbcbbbbaaaacbcacbbbaacacaabbbbccaaacacccabacacabbabbbbbbbcbbbacaaabbcbacbacbccbbbcacccbabaccacccccbccabbcabcbbcbccbcccccacbababccacacbccaacbcaacbacaaacbababccaaaabacbaabcacbabacabbabbccbbcbaabbbacbbaccaaabbbcccbcabbabbcabaacbabcbcaabacbacaacbabacabaacacbacbcbcabbccaaabcabacbccbccaaabbacccccccbbbcaacbcbbaabcaabacbaaccbccaaaabcbbcabaacaccbbccabaaacbaabbcbbcbacbbbbbabbbabcbaacccbabbbcbacbbbaaaaaaabaababaacbaabbcaaaabacbaababbaaaaabacaaccbacabbaaababacabbcaaacabcaacbccabcbbbabacbbbcaabbccaabaccbaabbcccbbbacbabacaacabaabbbabcbccacacccacbcbbaccccccbcbacabccabbabcbbbaaaaabacbccbabcbbabbcacccccbaaaabacaccbccbaaacacaaacccaacbbcbbabccababbaacacacbacbbbaaabcabbabcacccbabccbacabaabcbbcaacabacbcccaacaccbaaacbaaaabbacccaaccbaabcababbbaacaaaaccbacbbabccccbbacaccacbbcbacaabacccaccacacccbbbbbcacbcccbcacbbcaabbaabbabcaaacbaabcbbabaaabacbacabaaacbbaaacabcbccbaaabaccacabbabbaccabccaabaacccbcbbacaaccacaaabcccbbaabbcbabbbbcabcacaaabaaaccacaaabacabacaabababacaabcbabacccccaabccbabbabbaabcbbaaabbacaccaacbbccaccbbaaacbacccbacccacbbabacacbbccacabbaccbaaccbccaabccaaabbbbacccababaabbbbacababccbaacacccbabcccaabbbabacaacbcabcacbabbabcacbbbccabacabbbaaabbabccbcabcccaabbbbcccababcbccbaaabaabbbbacaacbcccbbaabbaacabbaabbbabcaabcaaabacbcabbcbacbababbbaaaabbaabcbbacaaacaccbbcbbbccbbbacaaccaacbabcbbabaaacbbaabbbabbbaccababcbbccaacaabacabbbbbcbcbabaccbabaabccacbbaabbacaabbccbbccabcccaaaaaccbaacaababbbbbbacaccbccbcbacacacabcaccaacaccccbccbccccabacbbaccacbaaacbbbcbcaacaabccccbcacaccabcbabaacbaacccbbabcbcccbbbccaabbcbbcbbaacaaabaaacabbbacabcccbcabbcbabacbaaabacaabacabacacccacccbbababaacbcccccbbaabcabcccbaababbcccbcabbbacbabccccabcacaabbbcabaabccccacacabcbcbcbacbacaaababcbabbcaccccaaabbaccccaccccabbbcbababccccbbcbbaaaacacbbcababacbacccbabaaaaccabbccbacaccccaababbacbcbbcccbcabccbbbaabaacbcabcaacabbaaacaacaaaccbaaaabcbbcbaabaccbbcaccbaababababbbaaacaabbccbcbbcbabbaccbacbbcababcabbbcbcbabbbbbcabccbacacacacbbacbabccbbccaacbcaaaaabbaacbcbbaabbbccacbbabcbaacaaccabaccbcbaaacbcccabbbacabaaabcacbcabbabcabaccababcacacaabaaaccbbbccabbbbbabbbbbacbabcbcbaabbcbcccacaabcbacbcbcacababbabbbaaccccbcabaccacccacaaacbcbabaabbaacbabbbbbccabbcbbbcbcbcabcabcbcaccbaaaccbcccabcccbaccccaaaabbaabbcaaabbbcacccbbabbbabcbabcccccabcaccaaccacababaabaabbaabaabbbcabbcaaccbabbcaacacccaaabcbccaaccbbcbbbbbccccbaabcbcbbacacbccaabaccbccacbbbbcaccbcbbaaaccacbaccbcabcbabcbbbabcaacbbacbcbbbabbacabbbacbaaababbbbbaccabccacbccbcbbbaccbbaaabaabcabcacaacbcccbabaacbcbccbabccbccaccaabacbbccbababbcccbccbbaacbcccacabababccababcbccabcbbbcbcabaaabccbbcaacacbbcaccbcabccabaacbacaacabaabbcacacaccbabbbabacbbacacbcccccbaaaccbacaccabcacbbacbababaaabcabbaabababbbccaacbccbacbbcabbbccabccaabbcbaacaabcccaccbbcccbcccbccbbbababacbbbccabababbbcbcbaabccbaabcaacacbbcaabcaacccbabccbbcabaabbcabaabccaabaccccaccaababcbaaccaaabacaacccabbcbabaccabcbccacabaaaaccababcabcbccbbbabbcaccbbccaaabaaabbabacabbcccacbbabcbcacbaaabccaaacccbcbcaabbbbcccaaaabcccaaacaccbaaaacaacbbcbabbcbccbcbbccccabbccccabbabbabcccabcacbcababaacaacabacacabbacbccbaaababacbcccbbbaacbbbcbcbcbccbbbbbbbbcabcbbbccbbabbaacbbbbcbbbabbacaccbbcaabcaccbcbbbcaabccccabcbcbabcbbabbaccabacbcabcaccbcccbccbacbcaacbaccbaacbbcabcabaaccbbacbaababaabcbcbaabbaaaaaccccccabbaaccbbbacbacccbaabcaaaccbbbaacacaacaaaaaacacbbbaabacccacacbcacaababacbcaccbaabbccacbccacacbabcacaaccbbcaabcccbbaaaabcbaacbcbccbccabcaccbbcababaaabbbaabbbbbbcbaabccabcbaababaabcbbbcccccbaacaacbacabcbabbabcbbaacbcbaababaccbbbabcacbcabaacccbbbcaacccacaaabaccaabaabcbcbaccaccccbcacbbcbaabcaacbcaaaaacccbcabacaaabcacbaaabbaaabcabaababbcbcaacabbbcabcbcccbbcaabbbccbcbcacccabbccbacaabaaaaabaaabbccaccababbaabcaccbccaacbcaabcabbccbccabaaccbbbabcacccacabbcbbbabbaacabbacbacaccccacaaccaaaababbbcacccccacbbaaaabbabaaaaaacccbccaaccbbccabccabbcaaaabacbabbaacbbaaacbacbcaabaccbcabaacbabbccbcbaaabcbaccccbabbccbaccbbaccbbccccccbacabbcaccababbacbbcccacccababbacaabaaaabbaabacccbaaccacabbccabaaaacbaccbabbcbbccbaaabbcbbbaaccccacacabbaacaabbacccabcccccbcbbaaacacababbabcaabbababacbbbbacaabbbcabbaaaabcccbccccacccabcaabbacbaacaacccaccbacccbbcbbccbbbbccbbcabbaababcbcacbcccbccaacbcaaaccbbcaccbaaabbccbbbbcabcbbabbcaacbbabbcaababababbccbbcacbbccaaccbacbbbcaacbcaccbbcaccaaabacbacbabcacbbcacbccbbabcaababccbaacbbcaacaacaaaacbcaacbacacacaaaacbbacbaacaaaaaacabbbaaabcbcccacccabccbcababccaaacaacabaabcabbccbacaccacacccccbcccabbaabcabbcbbbcbcbaaaacbcaaaabacbccbaaaccccbaaaacbbabaabcbabacbcccbabaacaccabcbacaacbccabcbaabbacbacaabacabacbcbbaccabcacbcaaaacbaababacbbcaacacacabcaaabaabccccccaaacaabcaacaccaccaabacacbcacbaaabaccaacccaacaaccbbaacaccbbacbabaccbbbbbbabaabccccbabbcaccacaaaacabaaacbcbabbbbaacbbbccbcbbacaaaabbbcabccabbbaabbcabbabbbacaabbcbbccbbcbbbbaccbbbcbcabcbabacccabcaccbccaacccacabbacaababbcbbbacbaaccbaabcbcaabbccbcacacccbabccabbcbccaacbcabbacbcbbbcabccbabcbacbbcaacbaaabcccbaacbcbbbcacbaaabcacbaaaaabbcaaacbcbbcabccbacaabbccacbacbbaacabcabbcaaacccbaaacbbbbacaacabbcbaccbacbbacaaababcabacbacaabcbbcbccbbbcbbcccbcbaaaaccbaaaaacbaccaccacbccbabbbbccacaabaabaacacbabcbabaccabaabcacacbcabbbaaccacacacabccccbcaabacbccbbbbcacaabacabcccabaaaaabcacbabbbcacccbaccaaabbcaaccbbbbcccaccbbbbabccbaaccbbbcbacbbccccababaaaabbabaabbacccabbaaaabbcaacbacbabccbcaacacbcacabcbbaabbcaabbccbccbcacbcbbcacaacccbbcbaabbbaaabaacbcccaacabcabbcbaaabbbbcbbcbaccccccbacccccccbaaacbbcbbbccbcccaaaaabaabbcaacaaaababcbacbaacbabbcccaacbbcacacaacaaaabbabacbcbaaaacbaababcbcabbbbbabcabacbcacbabbbbcabaaabcababacaaaababcabcabbcbacacccabbccaabcaacbcabbcaaabcbbcbabbbccacbcaacbbbabcbbcbbabccaabcbacaaacbcbaccbbbbcbbaabbbbabbccbacabaacacacababcabacabbabaccccaabbaababcaaabcbcccabcbcacbcbabaacbcbcbaaccbbbbbabacbcbbbbcaacabacbccbabbbabacbcbbcaacccccaaacaacaccbcbcbccbccbaccbbcbccaaccaaaccaccbcccbacbbbacacabaacaabcabcabbccacbccbaabaccaacbaaaaabababcbbabcabcccbbbaacccabcbbbbabacccbcbccabbccbbaccacbcabbcbababbbcaaabbbccccacaabbbabacbbcbaaaaacbacbbbbcaccbacccaacbcaabbaacbcaabacbabccbbcbcabbabcabcabacaccbabaacacabbbaaaabcccccaaababacbacacacacbaaacbabbbaacbaabcabbcaccccacaabcccaabaaaacbacccbbacabcabcbaabbbbcbabcbcaacacbacababaaaaaccbabacacbabccacaaabcbcabaacaccbcabcbbbcacbbaacaabcacabababacbcbbacaaabacbbaaaababacccaabbbacaaaccbbcaaaccbaccbbcaaababacbaabcbcaabbabaacbbcabbcabcabaacbaaaaaaabcaaaacbacaaccaaacccabacbcbabbbacbbbbcbacbabacacaccababcacbbbcbbcabcaabccacaabababcaaabbcaabbcbabcacccbbbcbcabaacccbacacccbcbbbbaaccccbcbaccbabcaabbabbbccaccbcabcacbbcbcbaabbaababbbbbcaccbaabcccbcabbabccccbabbaccaaccccccccbaabbccbcaabacabccbccbccbbbcbabaccbccbbacabccabbcacbbcbcaabaacaacbaacaccbbbcccaaacbabbaabaaaccccbcaccbaacccccbccbccaccbcbaccbcbabcbaacaccabbccccbccabbabaacbbcbbabbabbcbacbaacbaabcbbcbabcbcaaccacaccabcacacbabbaacaccacaabcabacaacbacaaabbcabbccabcbbbbcbabacbbcaabbbacaccabbacaacacccbbbaacbbaabcbbcabbcaabaccbbbcacbabbbbcbacaccbabbbbcccaabbaccbcbaabacccbccabcccbbbcbabababcbcccccbccbacbcacbbbbbccaaacacbccacababacacaaababaacccabacbcbcbacccacbabbacbcacabbcbbccccbaaaacbbbbabcabbbcacbacbcabacacaabccbbccbcbabcaabaabcbbcbabaacbbabbcccbcaaacbccabcaccbabbaabbcccaccabbcccacaabbcbcabbabababbabccbbbacaccacabbcbbbabcacacacbcaaccaaaaacbacccbcbcbaacbbcbcbbbacbbccabacacbaabccbbcaccbcccbcccbbacacbbacbabcacccbacaabcbbcbbbcabacbccbcaaaabacaccbbccabaaccbabbacccaccbccbcbcbcbbacacccbbabaaaaccabaabbbbacccbacacabbcabccccaccbcabbcbacccbaacbcccacbbccaacbccaccbaccaaccbabbcababaccbaccacbbbbbabbbbbcaabbbbccabacabbaccaabcbabbacbaacacbaaaccbbacbccbaccacaacbccccacabbaccbcbaaccaabbabcabaaccbabababcbacccbacccbccaccccccccacababcacbacbbcaccaabbcbbbbbccbbcaaabbababaaabacabcbcacabcbccccbbccbbcbaacabbcacacccccbcbbaaacbbacbbbabbbabcababcaaaccabcaccacbcccbbcababcccccbbaabbaabbabaaacbcaccbbacababbaaccbcacbbcababccbaacbcbcabacbabcbccabccbcaabbaacccacbbccbcbaccbbbcbabbcccbcaccbcbaaaaabcabbabcaaccaabaabccbabacacaaccccaacaacaabaaacbaaccacbcccabcbbbccaabcbcbaaaacabbcbbbabcbcbbcccacbcaccacbacbcbaaccaabbbbbcccaabccaabaababababacbaaacbabbbacccacbacbbabbbaaccaccacccaaacaacacbbabbbbccbbccabaabaccabcbacaaabbbbaaccabababaabcacbbbabbbbbcbbcccaabcbcaaabbacabacbaaabaccabbcabbabaacbabacbccaccccaabbabcbcaacbccccabbababbccababcbbbcbcacbbaabbabaabaacacabccbbbccbaaacabbacacabccbaacbccbaaacabbcbaccacaabccccbcbaaaaabcbbbbbababcaacbbbbacbcbbaacabccacaaccccabcbcabaccbabccbaababaccbaaabacbbccababbbabaaaaaacacccbbabccbaccaccbaccbabcaababcaaaccaccbabbbbacccbcbccbbbbbababccbccabababbcbacaaabcbbccacabcbaabccccbbccccccabcbcabbabcabbbbaaaaaaaccbbaacabaaabaccabbcaabcbcaacacbbaaccbbbbbaaacaaacbbbcabbbcacaaccbbccaacabaabccccbcccbbabccccabbacbabacbbaccaccbcccabacbcaccbabbaaacbabcaacbbcccabcbbcbcccacbababbacabaaabbbbcaccacbbaaababbccbcacabaacacbbabcacbcbabbabbabaacbbccbacbcbbbccbbcccccacbabccaaabcbacacabcbbcaacbbcbcbbcbbaacccbacbaabcccbbcaabbbcccaacccbcacacccbcccabacbcabcbaaabbcccbccbcbccbabcbaaabbbbcccaaaccabacccaaabacacabbaacaaacbabbacaaccbccbaaccccacbcbccbbabacbcbabcccbbacbcabbabccabcaccbabcbccaabcacaababababaaaccacbbcbcabcacaabcbbbccbababcaaabaabaccbbaccbabcbccaaaacabbbcccbbaabbcbacabbabbbcabacaccbabaacaabbcababaccbaacacbaccaabbbcbcbacbabbbaccabbbaaaabbcbaabbbbcccbaacabbccccabcacaabcbcbbbcaccaccccccbbaabcccbcabaccbabacbcbaacacbbababbaccabababacaabcabaaabbaababbabcacacbcbcabcabcbccbbcbabacaabaccabbcbbbbcbcbbbccbbcbacbbcbcababbacacacbbccbbbbccaaacacccaabccaaacabaaabcbacbbccbccacbbabbccabaabaccbaaabbccabcccacccbbaaacaccccbaaaaccccbaccabbaaabaaacbaababcbcacabacbacbabcabcaabccbbbabcbacbabcaacabbcbbbbbcabcabbcbbacbbaccbbacbcaacabaaababbcbacbacbcaacbaabbbaacabcbcbcbbbabcbcaccbcbccbbcbbbccbabbabcacaccabaaaccccbbaabbaccabaabbaccbacccaccaacbacabcccaccbccacccbcaabaccbcaacbcbbcccaccbaaabbbacaaababaccabbcaccccbbbaccbcabbbccbbcbcbcccbacaabcabbabcaabcaaabbaccccccbaccacbabccabbababaabacccaccbcabbababccbccbbcacbcbabacbaccbcabccccabccbcaaabaabcbacbccbccbaaccccacbcaacaaacbccbacabababccbacabacbcbbabccaacacccaaaccacaabcccbaacccababacccbaccbbbcabbacccabbccbbbbbccbabcbbbabcacacabbcccbbcbaccacaabbacababcbcccacaabbcccabcccbaccbbabbcaaccaaccbcabacbcbabccbcaccaabcaaaabcbaaaccabbbbcbabcaabaabaacacbbbbcbaacccabacbcbabcabccaacacbabaaabcbaababaccabaaacbabbababccccccaacabaaacaabcccccaacbabbccccbaccccbaaaccbaabbcbbccaabacbccaaacaabaabccbccaabacaabbacacaaabacacbcaaacaccbbacbbcbbabbbbcbbbbcbbbccacccabbbabbacbaacaccbacaabccabacbaccaaccbaaaccbcbccaabbaabbabcbacbcbcbccacaaacaabbcbbababccabbcbbbbcccabcccbcbccacbcbccccaaaccaacbcabcaccbcabcaababcccabbbabcaabbcbabbabaccccbbabbcaaacbcbbccaaabacabbcaabababbcabbaaabaaabbcbacaacabbabbbacbbbbacbacbaabcbabcbacccbcbbbbabbaaaaaccccabaabbacbaacabcbaacccbabaccbcaabaaccababbccabaacccccbbaaabbbaccabcbbaabcbbacaaaacbcbbbaccaaabaabbcccabcbccbcabccccacacaabaacccbcccccccccabaabbbbccacbccabccbabaabbabbbaaaccbcbbacaabcabbcbccacccabbacaaccbabaccaabacccaaacaaaacbaaccbccbaaaaacbbabbacabacaabcbbaaacaaacaacbbbbaabbbcbccbccabcacaccbacccbacbbbcaccbabbacabccccabbccbbaacabaccaccabbabacccbcabaacbabbcaabbcbaabaabcbcacaacaacacbbaabcbbaaaacabaacacbabaaaaccbaabaacaaccccaacaabbbbbaccabbccaacbbaababacccaccabaaabacbaccbacacabbbabacbccccbbccacbaabbabacbcaacacabbabaccccacbbcaabcacabbcccccbbbababcbaaaccbbbccbacccccbbacbcabbacbbcacabbbcabcaaaababaaccbcacccbacabacbbaaabacabcbcbacabacabcaaabbaccabbcbacbacaccbbbaaabcacbaacababaccabbcaacbcccabcbcaccabcabbacacabbbbbbaabbabbbbabaacabbaaaaaacabaccbcbcabaaccaaaaacbbabbcaccabcbaaccabcacacccbccaababbbbcacaabbbabbbcbaacccbaacacbabcaacaabacbbabcabacccaabaacbbcccaaabbabcabcbbabccccbcbaccbbbbcaabaaaacbbcbbcaccabbbbacaaaacbcbccabbcbaabcccbbcccabaabbababccbcbaaacbabbbbbcbacbaaccbbabaababcbbcabbbaaaabcbbacbaacbabcbabbacbabcccccccbbaccbabbcbcbbbcabbbbbcaaaabcabacbcbcaabbbaabacbcacacabcccbabbcbcaaccababcbcabacccacccaccbacbbbcbacaaabcccbcaacacacccccbaabcacbcacacabccacbaabcacacabaaaaaccbaaccacbbbcbccbbccaacccbbbcbacbaacbbcbbbbaaabcccbbbbccbbcaaaacbbbccbbababbccccacacbccaacabcbacacbaabcbcbcccccbcaaccccbabbacbcacbbcbcacabbcbabaaaccbbcaababbbbbcbcaabababcbccbcccccbcbbbabcbacabcbcbacacbabbcabaacccabacabaabbabbbaacaaccbcacccbccaccccacbcbacbbbbaaabbacbbccbcbcaacccaccbbbcabaabbcababcbbcabccbcaccaacacacbacbcaccabcbbaabcbcbabbcabbabaacabcbbcaaaabaabaaabaaccaccbccbabcbcabcababbabacacbcbbabaaacbbbccbcaaccaacacaaaccbbccaabcccccacabbbcbbccbcaaaaaabccabaaacbaaccabbabcccccbcaabaacbaabbccabcaacbcaabcabaccaaabccbcccaccabaaaccbaacaabccbbcaabccabbcaaccaaacbbababbbabbbccbbacacbcabacbbccccbabbcaaaccaccccabbbaacacacacccccbccaccbbacbacacaacaacaabbcbbcbccbbaabacbaccabaabcaacaacabcbabcbcbbcbbbbcbabacabbabcbbacbbaabcccccaccbccaaaccaaabbaaabaaacbacbbcaaabacaaacacbacaabaaaabbcbcbacacbaabbbbbabbcccbaaabaababccabaabcabcaabbcbbcbbccbcacaabbbabbccaaabbbaaacaabbcaaccaabbcaababbcabaaaccacbcbacbbabbbccacbacbabbcbaccabcaacacbbbbbbaccabaccaababcbacbcacabcbbcabbcacccbbcbbbbbabcaaaaaabbcbbabacbaabccbcacccbccbbaccbcbbcccbbbcaccbcaaacbaabcabccacacccaacbbccbbcaacabacabaccbbcaccccccabbacbcbbabbbacacccbcaccbaaaccacacccbabbccbbabcabaacaabaacbaacaaaabccabacbbbabcaabbaccaabbabcaabaccbcbccbacccbcbcccababcccccbbabbcaacccacaaacccaacacacbaacccacccbbccccccaabbcbcaaacbbabcbcbccacaababbaabbccabcaaabcaabaaccbacbccaabbcabcabacbaaababcbaabaaccaacbaccccbbcccacaacaaacabbacaabccbabbbabaabacbbbaaababaaaaabcabbccbbaaaccbcaabbccbabbbabbbbacbccbcaacbbcaccbabbaabcbbacacccbbcbcacbcaacabbabbaababbcacabbbbcccbbaccbacabbcbbcabccacabcaacaaacccbbbbcbcbabaacbaabccbbccabcccabcabcabacabbabbaccbaaaacabbcccbacaabcaaccccaccbcaacacbaabcbccbccaabcbcaaaaabcabbbabbcbcccbbaaaacbbcbbaabaccabaabababaabbbaabbccaccabbbaacaabccbcbccbacccacabbacababcaaaaccbbabbcbaccbcaabcaaaacaaccbccbbcaacbbcbccbcbbbccbccccbcacbbbbccaaabacccaccccbaaacbbbcbbcabacbacabbbbabbabbacaaccbabbcaaccaacbabbcccabbcbaacacccabcaacbbbaaaccbccaacbbcaaabcaaabacabbaaaccacccacacaabcbbccccacbabcbbcabbbacabcbcabbcbbbacbcbbacccbccaaaacbabbaccbbcacbccccabbccbabababbccbbcbcbabbcaccbabccabbacacaabcacbbbaaaacaaaacbbbcbcabccabcaccababbbbaaacbcbcbcabbabbacabcbcaacbcacbaabcacabcccabccbaaacbbbccbaacbbbccbbbcccbcbbabaccccbbcacbcbcaabacbaabbccacabccaacbbaacacbacaaacaabaccbaaaabacbabbcaaccabcabccbcbacababbccbcccccbcbcaabccbbcababcccaacbbbccacacacbbcacacabbccccbaaccabaacccbababbaaccabccaccccbbcbaaaacbcaaacbcbbcabcbccaaacabccccbcbcccbbaaacaabacaabbaaaaccaabbcbbbbcbcaaaaaaccacacccaaccaaabaaccabaabccacabbccabbbacacccbaccbbbcacbbbaababcacacccacaacbbaabbbacbccbccccbccbccccbbbbabcacbbabacbccaaacbbaccacbcbbcacccbaacbacaabbccbcabcacbbabacbabacacbaaaaacaacbaabbcbcaccaacabbcbbabcbabaabbabacbbcccabacbbccaaabbabcbacbabbaccbbaaaacbacabbbaccbacccbbaacaaaaabaccbcbbbcbaabcccaacabcbbccbcaabcaacbbccaababccabcaccccacbccaaaaabbcacbcccabbcccaaaabcaaabccbbcacccbccabaacaabcbaacabbbcacbccbacabaacaabcaaaacaabbcacacbbcabbbcacccacccacbaabcccabbbccabbcbcbabccbabbcbcabcaacbbaacacabcabacccabcccabbccacccbbaccbbbbcccaaccbcccabbcbaacbccaaaaaabccbbaacaccccacacbcacaccbcbacbbccccaccbcccbaaaabbabcccbbbcabcbccbbbbbcaababcbbacbabcbcbcabaacaabbbccbbbabacbbaacabcbaccaaaaaacaabccbccbccbcacbcccbbabbcbabaabcacccccaccabbacaccbabaaaacbabbabbacccccbacbcbbcaccbcbacaacaabbaabcacaacbcabacbcbcaccbaacbbbbccacbabbbbaabaaaccacbacaaccbacbcbabbaabcbaaacbaabaaccabaabcbbaaaaaacbcaaaacbcbbaabbccccccccbbababcababccbbacaaaacaababccbbabaabcbbcacbbbbacccbaaaccbacacbbabbcbbcaaaaaaccabacbabcbcabbbaccbccbaccabcbbabccaacababababcabaabbbaacbabaacbacabbbbacaaccbcaabbcbbcabacbbacbcabbbcacbbaabbcbbccbbabcbbcbcbcabacbcbcbcbaaaccbababcbabcaabbcbaabcbbcaaaacacccabcccabacacbbbcbcabcaabcaaaabcacbabaaabcabbbcbbbabacbbcbbbccabbbaaacccabacacabbabaaabcbcbbbbaaccbbbababacbcbababbbcaabcabbaaacaaccccabbacaccbacabbbaccaaccaacbcacccccbabcbcbccabaacabbaabacbbcbbaaabaababacaaaaacaccabbcaaacbcbbbabaaaabcaaaaabbabbcabccbbcaabbaabcaccacbaabaacbaccacacbbcbbcbaaaabcbaccbaacacacacbaaccacabbcbacbacccbabccbcaacacacbbabacbabcabbcccbabaabbbabaaccbcabcabcccccabbacccccbaabbcbbcbcbcbbaacbbaabbcbabbacababbcccbccccbacabccbbacbccacabaccbabcaabccbacbccbcbbaabbababbabbabaaacbbaccbbcacabbbcbbbccbbbaaacbbbcbaacabbbccabacabbbcbbbbaaaccacaaccbccbacbbaacaaacbcabcbbcbaacaaaaaabcabcacaccbbbbccbcaaaaaacacabccabbabcaaaaabbbcaabbbbbcaacacbbbbbacbbbcaaabcbabbacbaacccacccbccacacabcbaababacacabcaabcbccacbbcccbbbcbbccccccabaaabbabcaaccacbbacabbaccbcabccabccaccbcbbbccacaacbbbbbcbcbaccabbaacbbcabbcbbacbaabccbbabbbacbbacbbcbbcbbcabacaccccbcbbcaccabbabcbcbcbacbbccbbbbccaccabbbcacbcacbaaaaacbacbcbbbacbbacaccaabcbabcaaccbcbcccbcabbaabbcccbcbaaccacbbcbcacbbbabbbcbcbbcbacccaacabaaaaccaacccaacacabcabaacaacbbaaabbcabbcaccbbccbacbabcabbbcabacbccbcccababbcccacabacaaacabbaaabccbcaacacaaacbcaaabcbcacaccbbaaacbbbbbccbaccbbcbbcaaaabbaaabcbbbbacbbcabbaaccbbcbaabcaaabaaacccccabcbcbbacbbaaabcbcbccacbabbaaaabbcbbaaababbbbbbacbbacaacbbabacbacccbacbababaaaccacbccbbcaaacbabacbbacccbaacbcbaccbbacbbcbbbbaacaaccbacbcacbbbabacacacbcbaabcbbaabccccaaaaaabcbbbcbaacacbcbcbaaccabbabaaaabacbcbbaaacaabaabbcababbbbbaabcaababacabaabbcaacbbccaccaaaacabbacccaabaabbabcabbbcaccbbbabccaaccacaabbcbaaabccbbbbcccabaaaabccaccbaaaabbaabbaccccbaaccacbbacacaabccabcaabcbacbbacbcaacbcccabccaabaabbabcbaabbbacbbacbbbabaabcbbabcaccabccbacacbccbbcbcbababcaaacaaabccbccabbcbbbacaaccbccabcccacbcbcaaabacaaacccabacbacabbcacaabbacaaccacbcabaccaccbcbabaccbababaaacabababbacabbacaacbccabcbbcaabcbabbaccabababacaaabbbccbbbbcaacccbbacabaaaacbacbbbbbcbbcbabcabaacbbacbcccbbcaaaccabbbacabbababbcaccbbaaccbccabbacbbaccccaabcbaaaaaabbcbaaaaacababcbacbcccbbabbaabbabccbaabbaaaabaaaccbaacbaaaccabcbbaacaaaaabcccbbabaccaabcaccaaacbcccabcccaababbccbabaacbccabcbbacacbaabacaabbbacbcaaccabbccbbbacbabaaacabbccbcacaacccbbaaacacabbacbcbbbbbabcbbaaabbbcabaacaacccbaabcabcbbcaaabbbacbbbbcaabbccaabbbcabbbaaccaccacbcbcaaaacacbbcccbbabbabbccbcbcccbbacccccbaccaabcbcbccbabacacacbccccaccbaccaccbababacaaabaaacaaaaacbaaabcaacacbabccbaccaabbcbcbcccabaacbcbbaabccacaaccbcaaaacaacabacaccabcbccbcbacbabcbaccbccacaaabbacacacbacbcbbcbcaabacaccabacbbbcbcccbccabbcbababaacbaccacacabccbaccbaacbbabaccbabcccabbbabcbcaabacababbcabbcabaababbccacababacabccaaccccbbbbcbbaaacaacccbccccbbcbacbacacccbbccbbcccccaaaacbbaaabacbcbbaabbaaccbbcaacbcbccccbbccaacbaccaabaccacbbbabcabbcaacbbabaaaabcacbaaaacaaaacabbaccbcbccbbcccbaacccaccccaacbababbccbacccccaabaabaaaabbacaaacbaaaabbcbcbacaaaaaacaabaababbbacaccbacabbabacacacccacbcbbacabbacbccbcabcaabccacacabbbcccbacbbbbcbbcbcbaabbacbcccacabacacabaacbcbbccbaabccbabaabbcaacccacbaacbbcbaaaacbcbccaaaabaaaabbaabcaabcccbababbcbbacaabbcbbbaccacbbcabcccababbbabccbbbbbbacaaabbaabaacbcabbaaacbbbbcbcbabaabccaccbbcbbcabbaacabccccacaaccaacaacbbcccccacaacaacabbbaaacccbacaabacaccacbacccacbbabcabcbbccbccccbacbaaabcaabcccacbcaacaacababcbbcbbcccacccbcbcabbaccabbabababaababcbcbabccccbabacaaccbcacaacabacabaaacabbccbcccccbabbccbabaaaccaaacabbccccaabacbbaccbbabaccabbbcbccbccababccbabcabbbbcacbbbbaababacbbcabbcaacaccabbacabaaabaccabacaababcbcbcbacacabacaaabbcbbbcabbcabbbbabbccbccbcabbbaccccaccccbbbacbbbcaabcccbcccbaababbacccccaabaacbccccacaabcbabbbabacbcabcacabbbcbccaaccaaaaacaccaaaababbcbcabcbcbccaabcbcacabcaaacbbabbbbbcacacbbabbcacabbcacaabbbcbbaabaccaacbacacbaabbccbacbcbacacbcabbbacabbbbababaabcbccccbaaacbbbcbbbaacccbcaacbaacbacbabaacbbaacccbcaacccaaaaacabbbaaabbcaaaacbbacbcbccbbbcacaabacabbbcbbccaaccabbbaabcbaabbcaccbcabcbacacbcbacbcbbabccbcacbbabababbccabaacbacaabaccbcbaaacccbacbcacbaaabbbccbbbacbaababaaaaacbbcbccaacbaaacbaabbabbacccbaaabacbcbbaaccabbbaabacaaaabbbbbccccccbbabbabcabcabbcacabccbcbccabcabccbccbabbbaacacbabaccabbbababcccacabcaabbbcbabbbbbabbabbaacbbbccaabbbcbabccbbcabbcbcbbbaccbbaccbcacbcabcbababbacabbabaaccacabcbbbcccabbbcabbbccccbccbcabcbabcabbaccbcbabababbaabaacbcaaaacacaabcabbccbaaccbaaaabacbbccaabaccbccacaacbbcababcccababccacbbbaacabccbbcbbaaccaccbbabbbaabacaccacbabbacbaccacacbccbaccbbbcabcacccaabcacbacabbbbbbabbbbacccbcacacbccaabacbcaaabacaccccbbabaabaaabbaabccccabaacacacbcbbabcababaaacbccccbabcaccacccbbacabaccacbbacacabbbbabccacbcbbacacccbcbababcbabcbccbababccacaabbbabbbcbbbbabbabccbbbaabcabacacccaaacbbacbcccacbcbcbcaaacaaaacbcabcacaabacabcabccacccbbabaabbacaabacabbacbacbababacbcbabbaaabcaacbccccbbcbacbcaaccbbcaaacbbabccabacbabcaccbcabababbaabcbabacabbbbbaacabaabcbbbbcbcbabcbacaabcaaabcabbabcbabbbbbaabaabbbcabaabbcbcaacababcaacbacaaabccbbccbaababbacabbabcabacacabcbbbcccaaabcbcccbcbabcbcacbbbbcbaacbccbbaabbbcabccbbcbacaaacaaaccbabccccbacbbcbbccbacccccabcabbaabaccbabbbcccbbaccabbccbaaaaaabcaabaccacbcbacacaabbbaaabcccbcbcbcacabcbabbcbbcabbbcccabcbbaabbbabcbcaaacaaacbbacbccbcabaabbaabccbbacbcaccccbbcbcccaccbbcbaabbcccaaabcaabbabbaaaabcabcaaabcbcccabbbabbabccbaaaccacabccbcbaacbbaabcbacaacaaacbbbcacbcbbaaaccbbabaaaaababacbbaacaabbbaabacacbbabccaccbabccaabaacbacbbcabaabcbbaccaabbaacbabcbbcbcacaabbccccabbbaacbbcbabaabaababaabbabcbcabaaacbccaacbaccaccccbbcaaacaaacacccaacbcacbaccabababacacacbbcabacacabbabcccbccbcbabccbaacabbabcacccbccbcabccababcbabaabaaacbbbababacacccbabcbccacbbbccabbcacbbbaacbacbaababbcabcbcabababbaaabbacaaaacbacaaaacccacbabbbbabbcbcaaaabacbaacabacbabcbaccabccbacacbbbcbbccbaaccbbaabbabbccbabcbbcbbbbbcabcbbacbbaabaaaccacaacaaacbcccaabccccbaababcacccbcabbcccababbccacccbaacbbcacbaaaabbbbcccbccabaccbccaaccacccacbbababccbccaaccbabcbbccbbbcaaabacbccccaaabbcbababccacabaaccbaabaaabccccababbaacccccaabbaccacbacaabaccbbcbbcbcaccccaaacccbccbcbcaccbcbbbacacabacbcbaaabaaabcacaaaaaacccabaaaababcbbbaaacaabcaabbbcbacbabacababcacbaccbcacaaabcccaaccbcaaaabcbcbbbcbccaccaaaacaaacbaccabcaaabccabaccbbacacaaaabbcbacabacbbbaacbbcabbbaaccabbbcacbccaccbababccbcbababacbbaccccacabacbbcccbabacccbcaabcbabcbbbbaabacaacaaaacbcccaaaccaaccacabaaaaacaccccaaabcbcccacbaccaaccbaccabcaaababcacbbcacbaaaccabcbaaaaacaabbabbcbcccbcaaaccbacbcaccbbbabcaacacaaabcccbbaabccbabacbaccaaccaacabbcacababbaabccaabcbcaabbabbaccbbccbbbcbbbaccbbcbaccbbccaccbacccabacbbbbabccccabbacaaccaaccaccbaccacaaabbabcbbabbcbaabacbccababcbbbbaacbacababbcabccabacaabbcbcbaaccbbbbccabcacbbabbcabcbbabccbabbabaaaccbccaabbccacccbcbacbcacaaacaccabbbccaccabcaabbcacaabbaabcccaabacbabbbbcccbabcbbabcbccbabbbabacbabaaaacbbbcaaccbcbbacbaaaccbcacabaaaccbaacccaabbcbacacbbbacbbacbacacaccabaaabbacaaacabbabaabaacabbbbbaacababbacabacbacbbaababbcabbcacacbbbcacbbcaaaaaaabacabaacbaabbabaccabcbbcbcbabcacbcccaabbaaccccccababbababacbbbbcaabaaacccacacbbacabbcabaabcbcbaaaccabccbcaacabbabcabbcccbcacaacbccacccabcaccacbabbcbacacaacabcbcabcabbbabacbaabcabbbaaacababacbbccbcaaccacaabcccccccacbcabacbaaacccbabacbaabccbcaabcaaabcacbbaaaccbbacbccaacaacacbaabcabaacbbbababbcaccbbbbbbbbcaacccbaacaaccabcbcaccbcbbccccaccccaccabcabcaccccbbbbbbcbbabaacaacccaaccababbbbccabcbbacaaababbcbaabbccbcabcaccbabbccabbabbaaccbbcabcbacccbbcaacaaababbccaabaabbbbabbcbbbcbbacacccaabbcbbacccacabcccabbabcbaaabcbababbbaacbbaccabcbbbbcbccbacaaabacaaabbbbcbcaaccacbaacbabbbbabccbbbababacbabcccacaacccbaacabbcaccababbcaabaaacbbabcbabbbcabbaacaabccabbbabbaabccccababccacbccbcaaaacaaaacaabcacaacacaababcccbabbbcacacbbcbbcbacbaabaaabbababbacbccabcaabcabcbccbabbacbaaccaabcbabbcbaabbbbbaccbcbabbacbabccccbbbcabcbcaabcbabcabcbbcacabbbbabcccaccccacbbabcbbbbbabbcbacbbbabcabcacabbcacacbacacccbcababbbcbcaaabbcbbaabbcbbaabcaacbaccaccabcabbccaaaccaacbaabbbaaaccbbbcccbaaababcbbcbcbabacbacacbaaccaacacbbcbbacccccbbaaacccbbbccabaaabbacaabacabcacccbbaaabacaacbaacaaccbbbcaccaccaaababccaaccaabaabbcabcacbccaabacabcbabbacbcabbcabbabacabbcbccbbaabbbccbbbbccbbbbbabcccbacbababbacbbcabababbbcbcabbbcabcacaabbbcbcbbbacabcccbccbccccbaabbccbbbbbbccbcbbaaacccabbacbcbbbcccbccaaabbcaccbacababaabcaaabbbbaabaacbbacbaabbababcbbabcaccabbaabbcbaccbaabbbabaaabacaabbcbacbbabcbccbabbbaacaaccbccbbbabbbaacbacccbaabaccaaccacbbbcbcaccbcacabbacbbbcccabbcacbacaacabbbaccccbccacccbaccbbabbabbcbacabccaabcaccaabaacbccccaacbccacaaccbacccbcbacabbbacaabbbacbaaccbabcbcaabbbbcbabaaaaaaccccaacbcbbbbbbccbcccbbccbbcbababaacbacaacbaabccbbacabcaabbbbccbbbacacccbacccaacccaabacccabcaacbbbbbbaacbbcabbaaacbaacccaccaabbbcaaabaacccabbbccaaababcacbbcbcccccbaccbbcbacccaaacacbccabcccccbbbcaacccccbaabcbbaabccaabacbacabcbaabacbaacbbacbacbccbaaaabcaaccbccaabcabcccacaaaababcbababaabcaaabcbbbbaacaacacccbbabbaaaaaabbabaccbcccbbccccabcbbbcbbbccacbaacbcabcababcbaabcbbacaaaccaaacccbcccccbaaaccaccbbcacbbcaabbccbbaaaacaabcabaabbbacbcbbacbaabbcacacaccccbbbabaaccaaaccbaabcbcbbacbbcaaccbcbacaccabcaabbbbcaccbcaaababcbcbcacbaccccabbbcbabaccccabacabaababcacaacbcbbcababcbcacbcabcbccaccbacbcbaabccacccacabbcbaabccacbbcacbacbacbabcbbabbaabcbacbcabbacabbccaabbbbcaccbaabbaaaabbbbbabaaaababacbbbccbbcabbbcbbbacbaccbbcabbcccabcaacaabbbcaccccaccabbacccccbccbabcbcccbacabaabcaacaaaacccacbcaccccccabbcbbacccbcaabbbaccaaabbabcbaccabbaaabacaacbabcacbbacaaaacbbcbcccbbaccacacacabaabacabcbaabaabacbaaaabcccaababcabaaaabbabbaacccbbabacbbcaccbcbbaabccacbaaabbbcbbccbacbcbabccabccccccccbabccaccbccabaaaaacaabcbaaccabbbbccccacabacabcbccaccacbaaaaaccbacbbaabacbaaabcccbccabbbaacacacbaacbabbababcbabbbccbcbcbacaababaabbbbaabaabaababbbcacababccbcbacbbbabbbacabbbabbcabbcabccaabbccacbccbccbcaabbbbababbccbaaabcbabbbbabaacbcacbaacabbcbcacbcaccbbacabcccaacbcabccababbabbaabcbcacabacaaacaaabbaacaccaabacccacaabaccbccbccaacbbcacbcabbbbaaabbaccbcaaccabaabbcaaaaaacaaacbaccacbabacbbabccacaaaacbabaacbccbabbcbabaabababcbabbbbbbbbaccacbccbbabaccbccacacccabbabbacbcaccbcbcbbbbbbcbabcccaacaaaaccacccbcbcbbacacbabcaabcbaccaccbccbbbacaacabbaccababaaaaaaaccbacccacbcbaaccaacbbcbbcaaabbaaabcbacccccaccacaacbbbcccabbacabaacaabccccaacaaaaabbbabbcaaacabaabcaabbbbbcccaaaacacabbccbcabcbaccbaabcaabccbbbccaabbcabbbbababaaabacbaaccccbacabbbbaccbcaaccbcaaabcccbcbccabacccaacbbaaacaccbcbacbcbbbcacccbabcbcbccccabaaacccacaccccbaccbabcaaacaaacccbaaaaacbacbbabbacaaccccbabcccaaabccbcaccacabbbbacbcababccccaaaccbbcbbbbaacbabcbaccaabbcccbbcbaaacccaabcababccccacbccacbcccacbabaaaabacbcccacbbbabbabaaaacbbabacbbbaaaacbcccacbccccccccccccccccccbcabaccaccbcbccbacbcbcccabbbabbbacccacccacaaaccabacacbbabacabbacbbbbacaaabcacbcbbacaccaccaabcaababccabbcbccaabaccabacabbaaaccccaababccabcccbabaccaaacabcacacabcccbbaccabccccccbccabbabbcccccbcacccababcaacabbbacbbcbcbbacbbcbabcacacccacaccacbbacabccaabbbaaccacabaacacacbbcbabbbcbccabbacccabccacbcccbbaabaababcabbcaaaccabbaababbcbbbcbaccbbbabbabcacacbcccabaaccacaacbababbaaacacbacacbbaaccaaacacaaacacaabaababbcbbcaaaccbabbbabcaccbccbaccabbcacccaabbcaaaacacbcccccbacabcccabcbacaaabaccbabacaabbabcaccbaaabcacccaccaccccabacccaaabbcbcaaacccabbaccabacaaacbbbaabbccbcbcabbccaaabccbbbbbabbacccaaccaaccbcabcbcbcbacccbcbacbcbabcbbbbcabbbbbcccccaccbbacacbaaccabbbcabcccbcacaabcccaabbcaacbbaabccbaaababbaabbacaaacacbaaabcabacaaabccbcbbaaacbcaaacacaabccaccacabbabbccababbbabcaacbcaacababbcacaabccbbababcbacbcacabbacbcbccbbacbbbaacabcabbacbbbacabaabccabbcaaccbbbcabcaabcccacccaaababbcacaabbacbbbbccccbcbbcbaccaabcaaacabacacccccacbaaababbabaabcaaacabbaaccbaccabbcbabcbbabccaaccbcbbaababbcbcacbababacbbcbabcbcbccbbcaacaababcbcbcaaaaccbccaaabccaaabcccaaabccbabcbbbabcacaaaabacccbcbaaababbcaaabbbabccacbaccacbbcbcccaaabacbbbcacacbcbabcbccacacaaccccabcccbbbcbbacacccbabaabbcbbbabacaccaaccabbbabcbcbccbcaaaabcaccbabaacaccccbbcbcacaaaaccaccbabacaaaccbaacacbaccbbbccbbbbcaaaacbbaabccacacbccbaaabbcbcbcbaccbcbaaacccacaccccacaacabcabbcbccabbbbbcbccacaabcbcaabcabbbcbbaacbaacbcbbabababccaacaacbbabbacbbccbccbbabbbaccccacabacacbbaaabbaaabaccabccabababaacbcaccabcabbbbbaabacabababccccbbcbaabcabacabbcacccccaaaaaaabacbcbbacbcabbccbbbcbccccccaccacbbabcbbaacababcbabbccaabacbacacacbbabbabbacacaabacbbabcacacbabcbbabcbcaaacbacccaabccbccccaaccacbabcbbbbccaacbaacbcbcbabbcbbcaccbccaabcaaabbcccbbbacbcabacaaabcccbbbcbccbbbaaaccaccacaaacccacaacaababcbaabbcbaacaaccccbcabbabaccaaabaaaaabcccbaaacbcbccaabbaaccbcaabcaaababbcbbcbaaacaccbcbbcbccaccbaaacabaccbbbabacbcaacbacacccaccccacccacaacccccabccccacbcbbabacabbbbabcaaccacccbacaaaccabcabbcabbbaabcabbabbaaccbcabbbccbacccbbbcacaaabaabcaaccbabcaccaaacbabaabbcbaabbcaccacbcabbcbccaccbacbcbccabbbcbcabbbcabacaacccccaacbccabbbabcabcbcbbcbacababbccaaacbabaabbbcbacbccccacacaacbacaacccbcbabbbaacabbbbcbabbccacaaaaabbcacababbcccabaabaacaccccacccabaaccbcccbcaaaaabacbcbbcacccabbaabbbcbccaccbcccbbbcbbaacccacaaccbacbbaacbabcbbbbabbccababbbbaababcbbccccccabbaabcababcbbbccccabcccaabcaacbbbaaaaabaabcbabaaccbabaccbbacacbccaabcabababacacabccbacbcabbcbbaabcabbbbabacaacaccacabcabbaacbcaccbcbbccbbacabbccbcbacbcccacaccaabbaacbcbabcaaaabcbbaaabcacccbbbbcbaaabacacacccaaacabacbaabbcabaabbbbbccacacababbcbbbaaabaabccbbabaababbabacccabcacccacbaabaccaccbccbababcbbabcbaabcabcabcacbbabacbbaacbbbabcaacbbabbaaaaababccabcabaccbbbbbaaaacacbaaccaccbabacbcaaaabcabacbabbcaabbacbcccbabbabcbbcacaaabcbcaaabbbccacccaabacabccaacbbbabcbbaacbcccccbbbcabccbaaaacbaababcbbbccbacaaccbcccccabcabcaabccbbabcaaacaccbbbcbcaccccaccccbccaccacccbcaccaaccbaacbccccbbbabbbacbabbbccbabbaaababcbaabaabccabcacabcaaaabcbabbaccbcbbcbaabbbcacacbbcaabbbabbbccbaaabccbbaccccaaabaaabcbccbcaaabcbcabcacacbbbaaabaacccaabaabbbcabbaacbbacccaababbcbaaabcbbbcccbbaccababccbbabbaccacabbcabcbcabaabaaabcccacbcbabbbacbccaabacbbaccbbcbbbbabcaacabacacabaaaabbbacccabbcacabccbaaacaaaacbbbccaaccabbbabbaccaccbabbabccbbbcabacaaaccaaabcaabcbcbcbaabacbacbcccaabbbccbbcaaaccbacababccbacccaccbababcbbcabbccaaacbbbbabcbaccbacbabaabbcbbbaacbacbcaabacacbbcbccabcccbcbaabcbbcbacbccbcbbbbaccaacaccaababbacaacbacabaaaaabbaacbbabaccbbaabbbcaaacccaaacbacaaccababbcabcbcacccbcbaaccacaccbaabbcbabcabbaabbbaabaabaabcaacbababcccccabcbcbbacbacbaccbabcbabbacacccacaabcacabcbbcbbaccabaacbcabcbaacaaaaaccbbcbcacccabaacccabbccaacccaccbcbbcaaacbcacbbaabaccaacbaaaabbccbcabacbcaccbbbbabbbccccbababbcabaaccccccaccccabcabcbcbabcccaacacccababccacbaaabcbabaacccaabcababcaaaabbbbbccbaaaaabaaacccaacbcccaaaaccbaacbbcccaccccaabcaaaaacacabacbabacbbcababccacccbaabbcbbbcbababcaacacbbbcbbabbcaabccaabacaccccccaacbbbcacbbbccabacccabacbcbabacccbacacaccbcabaaababaacbbacbabaaccaccbcbabcacccbbccaabbacbbabcaccacabcbcaabacaaaabacaccabcabcaaacaabcaccbbaabcbacacbabccabaacccbccbccbaababcabacaaacccbacabacbaacbbbabcbbccbbaacabbabaccbccababccbcbbbbcbcacccbbbaabaacaacbbaaacaabaabcbaabcbbaaaaabcbacbcbaabbbbbabcaabccbbbcaaaaabbbbbbbaccccbaccbcbcbccccaabbcbbcabaacaabbaacababccbbccbbcccbbbbacbcabaaacacaacaaabcbbbacaccaaaaaacccbccbaacbccccaababcaaabcacbabccbcccaaababccaacbbcccabbcbaabaccaaacacbacaaacaacaccbcacaccbcaccbcababccbbabccabcbcaccaacaccaabccbaccabacacabccbabcbbccaaabcaccbbbcaababaccbbbabacabbcbacaaacacbccabbccbbbaccaabbcabccacaaaaccaaaccacbaccacbaaaaababbbaacabaacaccbcaccbaaaaccbbcbbbbbcbabbaacbbbcaacababaacbbbcbacaaaabbaccaccccbbccbcabcaabaaabacacacbbcbcaaaccbcbccabccacabaacbccaaabbaaabaccaacacbaccaaaaabaaccabcacbbcaabbcbbcaccccaccccaabbcaabbccaccbbbcccbaaabcabcacbccabacababaabaacabccbacbabcbababcbcbcaaaacaababaaccbbabcaaabbabacbacbabacbbbccabbbbccabaaccacbcbaabbccabcabbbcabcaabaaacbcbcabcaaaaccacaccbcccaaabacacbabbbabcbbabcaccabccabbbcbcabcbaacacacacbaabbaccabbabbcbcbaabccccccababbaccbccccbabacaabcbaccacacaabaacbbbabacacabbccbaaccaaccacabbbaaacbbcbaabccaccacacaccccaccaccbaccbccaccaaaacbabcbbccacbbbbaccaabcaacacbabbcabcabcacbccbbbcaaabaaaacabaacbcbcbcbacbabcabaaccbabccbccbcbccbcacaacababbabbcbbbaabaaabacccbbabccabbcccbbbcaaacabbbcaabcbacbcabcbbbcacabacaacbcbccacacaccccbcabbabababcaababaabacbbccbaccccbaaabaccbcaccabcacacbbcccbcabaacbbcababbabcbaaaccaaaccccbbaacaccbbabbcccbcabbacabccacaabaccabaababbbbaabbcccabaaaaabccabcabbbabcbbccbbbbbbbbababccacbaabacbbaaaabbaabcccaacbbbacbbcbbbaabbacaaccaacbbacbccbbbcbcaaaacbcabcaacbabbccbccacaaaacbbcccbbbcbccababbcbbcaccacaaabbbbbcbacaacbbbacbbabababcabcabcbcbbbbabbbbababaaaaccacaaacbccacaccabcccbcbcbccbcbccaccbbbaaccacaccbbabbabacabccbccbbaacaccbcbabbbaabbbcacbabbaabbbcbbaaacaabaacccccbacabcbccccaacacbabbbcccccbcacbccaaaacacccabbababbbcbaccbacacbaaccbbaaacbaacabbbaacbcacabcaabaacacabcccbbabbbabbbbcabccbbbccbaacbcaabbcbbaabcacbcacaacccbbbaccaabbbacccbaaabccbaaaacaabaabbbccbcaccabbbbaccbcbaabacababcbcccccbacccbbbabbcabbcccbcabbcbaabcaccbaabcbbacbacbbbacbbbaccccbbbccabaaacacccabacbacbaababbcbaababaabbccbabcacacababbabcbaccacacaaacccabccccaccccaacbbabccbababacaacccbaaaaacabababcabbbacccaaabbcacbbcbbaacccbbacbabbabbaabaccbcbbbcbcbcbcbbbcbcbababbbcaabbbaccccbabccccacbcbaccccbcccbcbbbccaaccbbabcbccbcbabacbacccbcbbbaabcbbabcbcbacaababbcabcbccabccbbaacabccbbccabbcbccbcaababacabbbcaaccbccacaccabccbccbbacabbacbbccabcacacbbcacbabaccbbccaabbccabcbaaccccbabcbababcbccaacbbaaaacabacaccacacbbbcacbccbaacbbbbaabcbccaacbcacaabbcbabbbccabccbcbbaaabbacbcaccaccbabbbbacacaccbaccbccaccaaaabcacbacbacaaacbaaccbababcabaaacbbbbcabbbcbbabcccbcccbbcbbbbbaaaacccbbaabacaabbbbabcaaccbccbbbaabaabbaaaabbbbabaacabababccaacccbbacbbaababaaaacbbcbbbbbcaababbbabaabccabbcbcaacaabcbcccbbaaabbbbcbcaaacaabbbabccbccccbabacbabaabbaaaabbbcbbcabcacbacccabcaaccacbcbacacaabcccacbcacacccccbbbccbacbaaaabbcccbcabcabaabcabcbcabccbabccccccbbaababaacabcbbcacbaaabbababaccbbbaacbbbcccaacccbbbbcabcbcacbaabbbbcabbbababccbbabbcbcabbabaaccabccbbabaaacccacacbacccacaccccaabcbabbacacababcaaccccaaaacabaabaacbccbcbcccbccbcccaabcabcbcbacbacacaccaaccbaacbbcbaaacacaabbbaacccabbaccbbcccacabaaaaabbbbcaacccacccccabacbbccababcbbaaccaccccbcbbcbcbbaccbbbbaabcbcaaaaaccaabbabcabaaccaabbabaabbbbcccbbcbbcabccccaabacbbabbaabcababccabccaaabbccbcabacbcbaacbbbaccacaacbbcbcacccaaaccccbbbccacaabbbbcbaccacabccbcbabaabcbabbcabcbaaaacbcbaacccbcbaabaacaccccabcacaaabccccacbcbbcaacbcbbabaaccacbcacbbabccabaacbcbcbcccacbbbaacccbbbcbbccccbcbcbabcabcccbcbaaaaababbaaababaaabaababcaaababcbcccccccbbcbabcacbabacbccacabbbbabbabababaacccaababaacbcabcccbbaacbcbbacbcbcbccbacabbacbaacabccccbccccaabcabbcaabbbacbbcbaabcaabaaabcacaacbabccaaabbabccbaacabbbbccaacaabbcacbbababaaabcbcbcbabacbcbbbcabcbacacbcccccababbacabbbccccacaccaacbccccabcccabaccaccbcbbbbacbbbcabbabbcaabaabcaaabccaabbbbaaababcacaaabababcbccbbbcccbcbaabacbbbbbbabaacabcaacacbbcabccaababcccabacbbbbaaaccacbabbcccaccbcbaccabcbacbcacbacccbacaacbabaabaaaccacacaaacbbbacacabacbabbaabbccccacbbaaccccaccbcabbacbaacabcabcbabbcabcacbbabbabbabbacbccbccbabccaaabccbabbccbcaaacacabaccabbbbbcccacbaacbcbabaacacbbcbccbcbcbccbacaabacccbcabacaaaaacabcabbabaaabcacbaaaacbcacabcbccccbbbbccaabcbaacaacaccaaacabcbacabaabaabaabcbaabbcccbbabbabaccbcbaababbbabcbcccabbbbbcbbbcccabccbacabacbbaacacbcabbabccacbcaaaccabbbacbabaaabbccbbbaccbbcaaaaaccccccbaacbaaaaacbaacbacabaababbcaababccbcaccacabbaacacaabacaabbcbbacbbcabaccacacccbaababccababbacabcbcabcabcccabacbbccacbbaaaaaacabcbcbcbabaabcbababacbabbaacbacbacaccaaaabcaaacbbbbabccccccaaacaabccbbbbcabcbbbcccbcbaccbaaaababcbabcacbacabccabaaacacabccacbbcbcccacbbbbccaaacbacccbacbccbbcaacabbcbbababcbbcbabacabbcbaabbccbabcaabbccbbaabcaabcbbaaccaacabbbcaacbabbccbcccaacacacabaaabcabaacbabbbbcbbbbbcbcaabbbaaabcabbbccacbabbcbbaacabcaaccbbbbabcbaaacacbbbcacaabbbaaccbaacbaacaabcababcabcccaacbaababccbacbcaabaacacaacaacbbccaaabbcaccbcccbaabacccbccbbccacabababccbcaaccacaabacbbaaabccacbbccabccbcccaccaabbbbbacbabaaaabbbbcbbcbcccabbbbaccbbacbaaaabbbcabbcbccbabbbbccccabaaacbbccccbabccbaacababcababacabacbcbacabbccccabaabcbacababbaacbaacccaabbcaacbcbbcbcaccaccabbbcbacacaccaccbbaccbabaabbbaccccbaccbabcabccbbbbacaacbccbbbabccbcbcacabbbcbbaccbbcaacbabcbbcbabacaaacbabbacaaacbbbacbbabbccabcacbacbaacabcabababbbaaaababaabbaacabbcbabacabbabbcacbacbcccabaccabbaabbbababcacaacaaacabbcbcabbcccbcabbbaaabbabcccabbaababcbcabcacbbcbcbcbbbcababcccababccaaaababbaabbcbaabaabaabacaacacaaaaacaaccaccabccbacbabbacbccccbaabbaacbbaabaaaaacacccabaaaccaccbaaccacbcccbccacacacaacbaabcaabbbaabbbaacacccccbcabcbcccabaabbcbbbcbbcaacbbbaaabbbacacbcbcaabacccabaaccbcbacabaccbbabccccacaaccabbacbbbcbcccbbbabaacbcccccaacbaabaaaaacaacbbaaabaacccaccccacbbcbccabacbbcaabccbababbcbbbbccbbbbabbcbbbbacbcabbacbaaacabbbaaaabaabaaaacbcabbbaababcaaccbbaacbacbabcbbbaabaaacccabacbbcbabcbbacabaaacabbbcababacccaababacaccccabccccbcaccbcacaaccabacbcbbcbacaabacccccabccbbabccacabbbacbaaabcabbbbbaabaaacabacbbbaccababbbacbababcbcbacbaaabaccabbcabcabcaaaaaacababcacaaaaccbcabaaacbbaaaabababcccccacacaacccaaccacccaaacbbbbbcaaacbbcbbcbbaaacccbbacbbaccbbbbaacbccccbaacacccacbaaacbbabccbbccaacbcbacccbbaccabcacbbaaccbacbabcbabbbabcaacbbcbaccbbabbcbbaaacbcbbbccbcbaaaacbaccbaccacbabbbabccbabcbbabaabcbbcabacabcbccbbcaacacaabcacccbacbbbaaccacbaaacbabccacbccaccbaabbcbacccbbabbbabbabbaacbbccbbbcbbaccaacbbcbccacbbbbbcbbaabaabccaaacaacbcbcbcbcaaaabccbaacabaacacbcacaabcabaaccbaaabbbcaaccaabbabccbcbbcbabaacbbccabbcbccccaccccbbaacbaabcbcacbcbcbcabcbbabbbbacaaaabbcbcbbbbaacaacaacbacbcabbcbbccaabaabbaccbcaaabcbaaacbcababbccbbaacbabbbaababababbcaabcccabaabccbbacbccbcbbccacbacaaccaababaccbcacacbcaacbbcbccababcaccacaaabbaacccaacababaaabbccbcbbabbbcccbbbaccbcacbccacbcbbbbbabcbababbbcbcaccccbcabbbacccabaccaccbcbaacbbabaabbcbaacbcccacbbcacacbabaacababcabccaacaacaacbcaccbbcabaabacbccabbbbaabaababbbaabacabbabbcccbaacaabcccbcccbcbaabcabcacccccaaaababbbbcabaaacacccbaaacccaabaacaaccaacbbbcbbbbbbbcbbbbbacaaccbbcabaabbbcaaaaaabaccbbaaaaaaccbcbbcacaaccbcbcabbaccacbaacbacaaacaabcacaccbbcababcacaaacbacbacacabaacaacccccacbaabaccaaccabbbbbaaccbbcbcbbccbcbbaabbabbaabcababaaacbbbbcaaccabccbaaaabababbbcbbbbcbbbbcbaababbaaabbcbaabababacbaacacccaccbbcbbbcabccacbccabccaccccccabcaabcbaaaababaccaccbaaacbaccaacbaccababcaabacaabcbbbbcabaaacbbbbcbbacbbbbbabaacbabccbabcaacbbcbbbbbcbccbababcbccacabcbccbcacbcbbbccacacabcaccccabccacbcababaaccccaacccbcbabbbcbcabccabcaccaacccabbbababcabcacacabccababcbccaacbcabacccbbabcaaaccaacbaacbaaabbcabcbbababbacbbccccabcaaaacbcbccabcbabccbbcbacbcaaaaccabaaabcbacccaacbcacbabcabbbcaabaacaababcbacaacbbcaabacbacaaacbbcccccbacbbbacbbcabbacbbbacbccaabcbcbcccabcbccaabaacbbbcbbaaabccacbabaacabbaacbcccaabbccbbabababbcbcbbaabbcaaccabccbbcccabcccaaacbbcbcbccaabbccbbbccacababacccaabbcccabbccaabcccccaccbacbbaccbcaaacababaababbcaacacbcbbccbcbbbbccbcbcabbcbccbbcccccbaaacbaacbbccabbabcacaabcacbbbabbcacaabcccaaaacabcbbaaabbbbbcacacbcbbacbababbcabcccbbababcaabababaababcacbbbccaabcaaaccaacabcaabcaaabcbbcaabcbcacbbcabbabacccbabcaacbcaabcaacbbbaabccbcbbbcacccbbcbccbabbaaccabcbacaabbccbcaabaaacabcaaacacbbbcabccbabccbacaccaccacccccabcbbbbccbcccbababacaccabaccaaccacbcbacacbcbabaabccbbbcccaaabbcaaccaacaabccaabbacbacacacabacaabbaacacabbcaacabbaabbcacabcccacbacabcbabbbacacbcbaabaabbaaaccbaababbcbcbbcacbabbaaaccabbcabccbbcbbaabbacccbbabcccbacbbcbbbabacbaaacacbbbcbcacccccbcacabcaccaaacabbcbaaacccbcccaaacacbbbcaaaabacaabcbababbaabbbbcacaacbcacbbaccccccaaccaabbcaccbcccaabaabcbcaccbbccacbabbbaaacabcbaaabbbaaaabacabcaacababaabcabccacbaaacccbbbbccbbababcacbabbbaacaacaccbaaccaccaaabccaacbcbcbabaacbabaaaaaccabababaacaccaacabccaabcbccbacbcacccbbabccbaaaccabbcbbccabcabbcccabccacabcacaaccccbbbabaabccabcabbbacbccbacacbccbbbccbabbbabacbbccbacbbacbcbbaccccbabacabbaaccacbbbbcbbcbaabccaabccbcababccbbabcbcbacacaabbcbbabbcacacbbbabcabcaababccbcbbccbacaaabbabbccbcbacbbcbbacbbabbcbbcaacbcbaccbabcabbcabbcbaccbcabbbcbbccbccacccacabccaacabbccbacbaabcbaccaaacbcccccaccbbaccbbaabbbccaababbbcbaaaaacbcbbbbaaaccccaccabcabbbcbbaaabababbcaacbcbacaacbaaabaacacacbacaaacbbaacccabccaccbaabcccbcaccccacbbcaccbaabacbbaaabbaaccbaaacbcacccaaabbcbacabcccaacaaaaccaaccaaccaabaabacabbacabcacaabbaccccabbcbbcabbbbcbbacbacbbcbbbaaabacaacccaacaccacbaacaaabccacccbbbcccbabbcbcaabbaacabaacbbcbccbcbacbbabbbabacbbbbabbacaaabbbcaabccbabaabbacbcaabcbccbcbbbbbbacaccacaaaaabaabcccbaccbbaacccabcbbcabbcbbcccbbbccaacaacaacbbccacbbcaccbaccaabbccbbbabcabcacccaabbbbcabccaabbcacabaccacbbaabbccaacbaaabcbbaabaacbccacccbacbaaaacccacbbacaaccccaaaccababcacaabacbbcaabcabacabbaababbaccababbaccacbabaccabbbccbbababcbcacbabcaaaabacacacbcabaacaaacabccabaaabbbbbcabbccbabbacaabbccbcacacabcaaccbabcbcccacbbacbcbabccabaabacbbbaabaabcaacccbaaaaaaccaabcbcbcaabaaaaacbcccabcbcbbcbcaccccaaaccbccbbbbbbbcbcacaaccacbaccabbbbcacacbaabaacabbbccbaacabaccaacccaaccbabbcacbbccaaabaccbaacabacbbacaabaaacaaabcaaacbbacbaabcacbacaacbccaaccabcabbaabaccbaccabccccaccaccbcbcaabcbcbaccbaabccbcccaaacaacabcacbcbabccbbbaccbbabcbaabcbcccccacbbbabbababaabcbbccababaabcaabccbccaaacabbaccbbcbcccbcaccccacbbbcabbacacabcacaacabcabcbbbcaaababcbacccaaaaabbcbcbccbabcaacbbcacbcacbaacbabccbcbabbabcacccaaacabbbcaaabcbcccacacbaabbaacbabcaaacabbcccbcbabbcbcbcbcbbbcccbabaccacaccccacbabccbcacbcccabbacabbcbbaabacacabacabbccbabbabcbcbccbcababbaacbbcababbbaabaaccacabbcbccaccacaababccbbbaaccacbccbaabcccabbccabbaabcbaaabcccacccbbbbcbacbbaabcccccccaccbabccababacccbcccbbccccccbccbccabbcccbbabbbcbacbbcababbbbacbccbcbcbabbabbbcbbcaaabccabbacbccbcabcaccacbcaacbacabcbbabccccacbbbbccabcaabaababccbccabacaabccccbbbbbacaccaacbbccbbccabbbacbbaaabcbabcbaaaaaaabbaabaaabbcbcaacbacbcccacabbaccaaaccbbcccbacbcabacbbcbbacabcabbccaaaaacacaccccacbaccbbbabccbcabaccbcababcabccabcccbaacacccacacbacaaaacaaacacaabaacccabbcabacbbcbcabbabbcbcabbbacbcbbccbbcaccbbbbbcbacabbaaaabcacbbcaaabbccbaccababccbacccbcaaababccccbcccbabacbcaaccbcacbaacaacbaabbccbacacbcbabaabbcbbbaccbbbbbcaabcbbbbbbbabbccaaabcbccabbccaacaaaccbbcabcaacacbaccbaccacaccabbaaaaaabcbccbacacbaabaaabbcbcacaacaccbacabaaacbcccbcacabaabbbcccbaaaaccacbcbcbcaababbabbbbccaaaacbcbabaccacbbcbaaccabababacbcacacaccabccacbcbbbcacaabacbaaabcccbabbabcbbbaaacabcbbbbcacaacaaaaccccccbccaaacbcbbbaaababababbccbbabccbcbababbcccabbacbbccbaaacbbbcccbacabbacccacaaacbaccbcbabcbccaacaababbbbaabcaacbcaaaccbcbbbccacabcacccacaacbbcbbccccabcacabbcbbbcaaaabcbbbcbccacbbaacbcacacbabcaacaabbbabbaacacaaccaabacbbaacbbbabacbaccbccababcaabbacbbbcbacbabbaccccabaaccbcbbccaabbcaabcacbabbaccbcacbaaacbbbababbbacabbaaaabaaacaccaccbacccccbcccaabcbacabccbcabaaaaacbaccaaacaabcccbabbcbabcaacbbbbcaabaccaacbbacabcabbabcabbcbcbcaccaabacbcaaccbcacababbaaababcbcbabaaaaacabcaccbaacabaabcbbcbcacbbaabacbbaacabbacabbccacbcbcbaacbacbcccaaaabbabbcabaacabbaccbbbcbaccbabcaacbabcbbbbacabcaababcaaccbaccccbabcabbabbcaacbbcaabcabcccbbaaaaaacbabbabcccaabbacbcaaacccbbaacbcaccabbccccccacacaaacbabccababcabbbabacbcbbcbabaccaaacbcacbcbabcbaabaacaaaaaacbaabacaccccccbbcaababaaacaaccaacbcbcbccbaaabbaccbcaccccbabacbaaacbabcbbbbbaccaaaaabbacbbcabacbcbbccabcbcbabcbcbbccbccccacaaabcbccbbabcbabcacbbcccbaabccbaaaaaaaacbcbaaaacaccacbcbabacaabbbcbccbccbbaabbaccbcccbbabbabacccacbabbabaaacacbacbbbcbbacbaacbccababbbccabaaccababaccaacacbabacaccaaacbcccacbcabbbaaabaccaaacbaabbccacbbabcaacbbabcacacaaacccbbcbbbabccaccbaabccacacacbaaccbaaabccabaabbbabcaccbcaaacabbabacbbaabbcacabbbabaabbbbbacbbaaabacacccbaabbbcaabcbbcbabaabaababbbccabbabbaabbbccacaabcbbcbbcbccabcacbcacabbcacaccacbcbbaaabbcbaabcbcbaacaccaaababaaacccacabcabaabbcbababcabcacacbbaaaaaabcbbbaabcbbbabccbbbbbbaacabcbcabaacabbaacccccabaacbbbbaaccbbbbcbaaaaaaabacbcbaabbcbaabbcabbbaacbbbabbbababcbcacacabbabbccbcbbaaccaaaacabbacbabaacccbbcabbabacaababbccccbbbccabaabaababbaacbaaaaabaacbbbcabbcbababbbaccaaaabbaabcccababacacbbcabccbaaacccccabacaccacbbcaccbbbaabcccbcacccbcaccbabccaaaabbacbbcbbccabccbacbacccbcacccbcbbabbbbbabbaababcbcabcbcccabaaacbcbbbcbbcbcbcbbcbacbcbbbcbaccbcbabbcbaabccbaacbcbcbcbbcbcabcabcaccbbbcbbabaabccabbbacbccbbbbbccababcabbabcbbbbbbbaaccbbcbabbbbbcccaacbbcaabbccacccabbccbcbacbacabcacbbaaacaababaabcbcbcbbcbbbcbcaaaaaaaaaaaaaccabaacaaaaacbaacbaccccccbbbabccbccaababccaabbcaacaacaacbbbbcbaacbbaccbcbbacacccbacbbabacbbbcabbabcbbbaccaabacbbaaccacabcacbacbaacbbcbacbaabcaaccbabbccbbbcbbbcaabcbbabbabcaacbbaaccbacbbcabaacaccbacbbbcbcacbabbabacccbbbcccababbcbabbbaaaaccaacabcbccbcbaccbccbbcabccaabbccbaccccbccaccabbcbaabbccabccbbbbabbbccbabbabcaaabcbababbcccaabcccacbcbcbcaacbabcaacbccacaabbbabaacbcaaccbbacbbbacbaacccacacabaacabababbcacaabbaacbaabccbcaaabbaababbcaaacbccbacbccbbabaabccbbaaccbacacabbbbcbcccaaacabacacbbbaaaacccabbabacbacacaccacacbbbbacacbabbcbbabbcababcaccaaccbcbacacbcabacbbcabbcbcbbcabbababbacaaccccaabbaccabaacccabaababccbaabbccbbcccaaacacccbbaccacabcbbbcacbbcbcacabcaaaccabaabbcabccbaaaacabcabbacaaaaaaaabaabbcaabbcbbbcaccabbacbcabcbbababbcbaaaacccaccbcbbcbcbcbabccaccabbcabaacccbcccccbabaaccbccbcababaacaaccacaabbacaaccccbabacbbaabcababbabababbbbccccacbbcaaacbbcccacbbbcaaacaccaaabacaaabbbcacbccccbbbaaabbaccaabbcccbacabcbbababbaacbcabbaccbbabcabbbbccbacaaccabbacbabccabcaaacabbcbbaaaabcacbcbaabcaaabcabacaccabcbcaacabaacbccbbcbbcbcccbbcbbcbaababbccbabbbabbbcbacccbaaccbababcbaaaaacccbcaacbbabcabacabcacbbbbcaacbabbabbacbbaaaaaabbbaabbbbaabaaccbcbacccbbbbababccacccbbccabbbaccbaaacbcaaabcabcacaccbbccabcbbabcbbacaabacbcbabcbabaabaabbbacbbbacacaacccababccccaccbacacabbabaabcbacaabcbccabccabbacabbcccacccaacacaacbbcbbaabacacaabbcacabccbbacbaabaccbabbbacbcbcbbcabcbcacababaabcccbcabbbaabcccccbcbacbbaccabacbcabcbacbaaaabccbacbbcbbbcbcacaccacbcbcabbacababcbbbbcabcaacaabcbcbababaabbcacbcaccbacbbabbacbcbacbbbccbabacbcbabacccacbcbacabaccbbccbcabccaacabababbaaababacaaabacbaacccccabbbacabbbcacababccbacbbbabaccaaaccbcbbabaaacbaaccababbbccbaacccaabcacbcbccbccacbcbaabacaabcccabccbcabccaaccbaabbabaaabbcaabbbbacbcbbaacacccbaccabaabacaaccbabacabcbacbabcaacbbbbcbbcbabaacacabacccaaabccbacccbccacbbcbaacbbcccacccaacbbbbabacbbccccaaabaaaabbaaaaacbbccacbbcbbaabcbcbbcbacabbabbccaacccbaacbcaaabbaaabcaaaaaaacccaaccabbcbcabaaccabcabbaaaaacbbcbbbaccbacbcabbacabbaaabbbacbaacbbaabaacabbaabababcaacabcacaaacbccabaaccabbcbabacbcbacbbccbcacabacbacccbcbccccbaabaccabbaacbabacaaabcabbbcbbaabbaacacbbbbbaaccaaacbaaccabacabcaaacaabacbcbaabaaacbabccacbabbbbbcbccaaccababbaccccccbabcacaaccacabcccccbcaccabbacaacabbaaccaabaabaaaacabcbccababbaaccbabacbabcabbccabacabccaabbaacacbaacaacaacabaccbccaaccabbcacabaaabbbacbbaacbbbaabbbcaaccabacacbabbaabaaababbbaacaccbcabacbbbcaaccaccbbacbccaaacacbaabbabccaacccbbabcaaaabbbaaaabaaaaccaacacbaccabbabacbccbaccaaabaabaabacabbbbbbaacccabacacbbbabcaaacccbccbcabacbcabbcacbbccbbcbcbaaaaccaaabcbbbbbaaacaaccbaabbacaaabbbcbabcbccbccccbabacbabcbcabacccabbcbbbbbaccbcbbbaacbbaabcacbababaabbcbcbabbbaabcbacabacaaacabbcaaccaaaababcbccaababaaaaccbaaaaabbcabaacbbabacababaccaabbbcaaaababbbcbcabacccbbaaacbcccccaabaccbcbcbbccaccbbbabbbbccbcabacaabbbacccaccaaaccbcbbaacabaaccabccabacbabaacbbccbccccabaabccccbabaabbcbcbbcacbacacccaaaabbaaccbccacabcaabbbaccaabbacbabacabcaacacaccaacbabbbcabccacacbbccaccabbccccbabbccabaaabcccacbcaacbbacaabacaaacacbbbabcaccbcbabbbbbacaaaaacacabacbcabbbabaaaabaaccbcacbccaccaccacacbabcccbcbaaabcbacbcbccacaaaccacabbcbaacccabaccccbcaaccaaacabbaaacabbcbabcaccbaccbcaaabbbabbbaabcaacbbaabbaaaabbcbcaacabbcbabcbccacbcaaaabcbcaacaacabbcbbaaaaaabbbbbcbbcbbcabbbcbaaaabbabbbcaabbbaccbabcaaaacbccaaccbbabcbabbbbabbabcbacbaaccbacabaacccbccabababccaaaacaababccccccbccbacacaabcaccbaabaacbacabcaabaccbaacbbbacbabccbccbcaacabcccabbacbccccbaabbccbacbcaabaaaccbbbcbaacaccabcaabcbbcaabbcaabacbbcaccbbabcaaccbaccaababacbaccbbacabbbccbbcbcaacaababbbacabccaaaabaccababbaababbaabacaacacbabbbcaacbaaacbccaaaaacbaaccaccacbbaccbcaabbcbacbacaacccabcbbbaacbbbcbbbaaababcccbcbccacbccbcbbcaaacacbcbcccabcaccaaaaacabcbcacbaabbbbacaabcabaacabcbcbacacacacbcaacbacacbcccbacabbaabbcbaacaabcbaababacccaccbcacbbbaabacbbbccacbcbacbabcaacbacbbbcccbccabcacaccaaaaccbccbbbbcbacaccbbcbabbcacaabbbaacabacacacbbabbacaaaacbbaccbaaccbbcbccbbbabbbaabcbcbcaaabbbbaacacbabcacccbbccacabcbabbaaaabaacabcbbaabacabcccababbcacabbccbaaaacaaaaaacbbccccbacabbacacabaccbccccbcccaaaacabbcbbaacacaccbbbbcbabcbbbbbcabcbbcbccccaabbbbabacabbcbcbbaabccabcbcacbcacacbaabbacbcbbcabaabcccacbaccbcbbaccbcaaaaaaabbbcbaacaabaacaaabaaaccacabccabbcabaaabaccaacccababaaabaacccaabbcaaccbacaccbbbbacaabbcaacccacbabcbbbabcabacbaabbbccaccacbabacaaabccaaacbccabbacacbabaccacccbbcacccababaacaacbbacabbbabacaabbaabcccbcacbbbbacbcbacaabcccbababbabcaacbcbaabbacbaccccbbcaacbbcaacbcaaaaccacaccccccbaacaaacbbbbcbccbabbcabacbaababbabcbabbacccaacaaababbbccbbbccbabbaaacbacaccccaaacabbacbcbabccaabbbaabbbbcabbbbcbbccbbaaccbaacbacabbcbcaacbcaacbbcabababbcbaccaccabbaacbacbbbcabaccbcaababcbabacccccacbcacaccabbcbbaabacbcbaacacbbccaaacabccccacabbbbbcaaaabbcaccbaacccbbaaacccabbcbcbaabcccbaccccccbcacabbbbbcbccaccabcbaaabbacbaacbccbaccbabbccbbbcccbccbcaaabbbabcaabcaababaacababbbbaacbbcccccbabbbabcbcacbbcbcbbccbacbabccababbaaaacbcbaabaaabaaacbcaabacaabcacccababaaabcacbcaaccbabaaccbaaaaaaaccaacacbaacacaaaccacabcccccbabaaaccbcccbbabcbbbbcccbbaabbbaaaabccbbcacaaabccbbcccbaccaccaabacbaacbcbbabcccbbbabcababcabbbbabaabcaacabacbacaacbcccccacaaabaabaacbacbcbabaabcbaaacccaaaccaacccccaacaaabcbabbbaaacacbcaabcccbcabbabaababccababbccacbaccacaabbababacbccacabcacbabbaaacacccaacabacbbabcaaccbbbaccccbcbabcbbbaaacccbacbbbcaabbacabaccabcbaabaacbcbcbcbbbbbbabbbcaaccbcbabcacaabaccbacaaabcbabcabaaaccbbcbcbbabcacaabbcbcccbbcaccababaccaacccabaabcbccbacbaaacbacabaaaccaababaaaaaacabbabcbcabbbbacbcabcaabbbbacbcaabbcbbaaaaccccababccacabbccabccaaaccaabcbabcabbbaacabbaacbaccccababbaaaababcbcaacbacbbacbcbbcbacaabcbccaacbbcbabbcccbcbbccbccababcccabcbabbabaccabcacbbbcccabccbcbbcaccccacccbccbcacacabccacabccaacbbccaaccbcbbabbacbccaaabaccaabacacbcacbcaccaacbaaacbbababccbaabcbacbbcbbbcacbcbacccbabbbbbcbaccbaacbaacbbbaabcbaacacbccabaacbbbacabbaaacabcbacacccbacbacbcbbaccababababcaabaaaccbbaaababcaaaacbbcbbcbcbaabcabccbcbcaacabbbaabcacbcaaaabbcbbabbabccbbaacbccccaccccccabbaccaabcbabbacccbababcaaaccbcbbaaacaabccaabbabbccbbbbbcaababbacabacaabbccbcacacaaacabaaccaaabacbbcbaababbbbbcbcaccaccbacbcbbbbcbcbbcacbaccaccccabbaaccccaccbbbacababcbaacaacbbccabcaccbbcbbabaccabbbacbccaabaacaccbcbbcbacbaacbbacbacbcbaaaccabacaaccbcbcbcbcbcacacbbaabaacbbbbaacacbcbbabcabbccbaabbcbcbaaacbaacbcbccbaccabcaabcbbbbcbcaaaaccccbabbbacaabacbaacbbccbccababbaaabbababcccbacbbbbacbcacaacbccbabcaccbbccabcabaccaabbcbbababbaccacccccbcaaccbcabccbabaaacbbccbabccacbcbcbbccbbcccacacabcbcbcbccabcbacacaaaaccbaaabbaaccaabbbcbabcacbcbbcabaccabcacccaacbbcabcbbcaccbcbccacbbbbbacacacbbbaaccababaabbcbccccacccababbcaacbcbababacbccbcbbcbaccbcbaabbccabbaabaaccabcccbccbbccaccbbcaaaabccbcaabaaacbcaaccbbcbcaacabbcaaababcabbcacaaacbcccccbbabbaacacbacbabccbababccbbccbcbbcbacbcbabaaaaaccbcbcbcacaabccbbbbccaabcaccbacaccccacabaacbbcccbcacbbcacababbcabbacbcaacbbbcabbbcbcbaacbccccacbbccaacbbbcacbcccbacbbcbabaabbaabbababbcaacccbbcbbabbaabbbaacbabacccbccbccbbabcccbbbbaaccabbbcabaacaccbcbcbaaaacbcbbbacaaaaaaacbccbcaaaabbbccbcbbcbcbcabccccccaaacbaacbbcabcacacbbaabbcbccabbbbaaaaaaaacacbcaacacccbaccabbcaaabbbbabcaaaabbbccabbaccbacaacaacabcabcbabaccbbccbbaacabbcabccacbbaaacbccbbcaaabbacaaacbaaacacbababacaaabbaacacaaabbcbcacabbbaaaccccbcbcbacaacabaacbabbaccccbbcbbbccaaacacccbcbabacbcbbabaccccabbbcbbbbbcacacccacbaabbaabcabbbcacacaabbabcaacccbcacabbcbbabbababccaccbcbbbcacbbaccbcccccbacbbbaaacaccbbbcbacbbcbbabcbbcbbbbbcbaacaaaababccbbcbcbccbcbaaabacacabaabcaabbbcacbcbbbbbcaaaacbbccccbbaaabbbbaaccabbabcabccabacaabbcbaacaccbbbcacbbbacbcccccbbaccbaaaacbbcacbcacbbabccbbbbbbccccacaccccabbaccbcccaababcaacacccabcabccabbccaccaaaacbaababacacbcccaaaacccbcccaccbabbcbaccabcccbbbcbbabbcccabcbcbaaabcbacbcabbbbaabccaaaabcccbcbacccacccbbcbcbcbbcbacbcabbbcbcbbaaaaacabcaacabccbcbaccbaababbbbbabcbbbabcbababbcaaaccbababbccbaccbaabaccabbbbacbccaaaababcbcbaaccababacaabbbbccacccacbcacacaabacbcabaccbacbabacababaacbababcbaabccacbbcbcaabbaaababaaaabbaabbacbccbccccaabbbccababbbbbbbbabaabcaacbcbbbcacaccaaaccacbbbabcacaabacccbccaabaababbabcbcabcaabcccbacbcababcacbbacbabcbbcccbbbccbcbaaacccbbacbabcbbcabccbbccccacbbcabaaaabbaaaabcbbbbcabccacbbabbcbaaabcbbababcacccabbbabaaaccacabcaaaaabaccabbcababbcaaaabbcbbacabcacaccbcabacabaabbbccbcbccabbbbacbacbaccbabbacbcbbccbcaacaaaaaaccbccbcbcaacaaaabcaccccbcccacbabbabccabacbcbababbcbacccaaaabbbaabacbcbaababccbabacaacabaacacbacaaccbacaccacacbcbccbcaacababbbcbbcccaabccbaaccccbcababbccacbaacccaabcccbbcaccaccaacbcababaabaaabbabbcaaaaaabaccaabccabbbcbbccaabcbbcccbbbbbacaabcabaacaaacabaabcacaabacbacababbccabccbcaccbaaabbcbbcabcaacabccbbbabbbacacacbbabbacccccabbbacbaccbbbbaaacbbaabbbcbcbccbbbbcbacbaaccaaccbbaaacbbcabbbcbaacaabbcbbaacbaaacbbaccaabbbaccccacbcaababacabbccaaacccaccaabcabccbcccbcacaabcabbabbbbcbbaccaaaccbbbacbaaacaccbbcbabcbacbbbbaaabcabaabccccccacbcaaaacccccaabbacacbcaabcaccbbcbbabcbbbcccbccaacababbacabccccbcbcbbccabaabccaacbcabacacaccaaaccbcbbbabcccaaabacbcabccccbccaaabcbbaabbbcacbccbcbbbaacccbbbcacacaaabbcbcabbccbcacbabbacccacacbabccbaabcabbccbaaabbaabaacbbbcbccbbcccbcbbbccacacbaaabaaaaaccaacbbcbcbbcccacacccccabaacbbcbcbcacbbacbabccbcbacacbcaaaacaaaacbbbaaaacabacabbbcaaabcbababcbccaaaabcabbcaababaacacccaaccbcccccaabcbabaccaaaccbcaacccaabaccccacaabcbcacbccbbacccccacababbacbcabaaccacaabcccbaaacbbbaacbbbaabbbcabbaacbbbbbacbbaabacbabacabacbbcbccbabbbbcacbacaaaacbbbaababacaabcabcabbcabcbacabaaccccccaacbccabacabccbccbccacacaabbcacccbbacbcabcabbaaccbbbbaacbcabcccbaacacccbbcaabbbcaacaaaccbaccabcaaacacaaacabcaacbcbcccbbbcbcbcbbbccaaacbacbbacbcabbababcbbaabbbaccaaccbcaabccbaacaccbabbbccaacbacaaaacbccccccabbacccabccacccaccabccacacbaacbaabcccacbcbccaaccbabcbaaabcccabbaabbbcbbaaaaacabcbcbccbacacbcabcaccabbabaabbbbbcccbcccaabbabacbaacccacccbabaabbacbbaaabbbccbbbbabccbbabaaabacccacbcaccbbbcccaaacacbcabccacacccbacabccaabbcacbcaaaccaabbcacbbabbabcbabbcabcaacbcaabbcbcccbbcaacbbabcbabcbbcacbcbacaccbabbaabcbbbacacbccabaacababbacaabbbcccbcbacbaaababbacbccbccbbccbbcbccacbaabcaabbacacacaacababccabacccababaaccaabccaccccacaacacbcccaaabbcccbbaaabbaaccccbacaacbccbbaaaaabbcabacacbabccaaabacbcbaabcacccbccccccbbcabccbcaccaaccccacbabaaacbcbaabbaabbbbaacccbcaabbaacbcbabcabaabbbccccccacbbbcacaccbbabcbccbccbaccbbcabcbcbcbbcbcbbaacaabcacbabcbacbabaacacabaaccbbcbabcabbbbbaabcbccacccccbaaacacaaacacabccacbacabcaacaabbbabaaabcabcaabcaccaababcbabccacbbacacbacbbaabbbaaabcbbaacabbbbccaabaabcbbabaacabccabbabacbccabacccbacbbccaabbaabbbcababcabbbaccbabbbaacaaacccacbcaacacacaacbbcbcaccabacccababcccaabbcabaabbabcabccabcccbcacaacbbbabccaacabaabaaaaaacabccabaccbacbabcaccccccbbbacccabcbbbbbacbbcaaabbbacaaaaaaaacaaabbaaaccaababccbabbaaabbcbcaaacbabacbaaabbbbababbccbcaccbabcacbbbcacacaaaacbbabaacccabcabccbbabccacbbcacbbabcccaacababbbaacbaacabcccbccccccbaabcccccaacbcbbcabbcabccbbabcaabbbabcaabcacabbabcccbbccbbacaccccababcabccacccaacabccaabbaaabbcabacbbabbacbbccbccbcaccccabacbbbabbacabbccabaaabaccbcaabcbcacbbaccacaabacaabbaaabacbbaccacaaacbbcbacbbbbcaabcbaaacaaccbcbcccbccabbaabbbbbbccbaacbcacbbcabaacbcbcaccbcbccaaabbacacababcbcbbcccbacaaaabaabaaccababbaccaabaabaacabcacbcbabcacbcbaacccaaccbaacaabbcbaccbcccaacbbcccccabbabcabcbcabcacccaabbbacabcbacabbbcbcbcabbccababbcbaccbbcaabbabbbbcaabbbbcbacbabcbcbccacabaaaacacccacabcbccbaaacbaacaaacabcbbcbacbababaabbacbacbbbcaacabcabccbcbaabbbcccccacbababcccbbabcabbbcbacbabcbaaacbcccccaabacbbabaabcabaabccbccbbbaccbabcbbcbaabacaacacbbcbaabbabbccbbcabababaaabbaacbcaaacabccabacaacbbacacabcabbbabbaaaaaaabbcaaccbaacaabbabbbcacabbaabbabcbcbbbaaccbabcaccbaaacbbcaaabbbabcabcaabbaccbaaabbabcbcaabbbccbbcaacccbbbcbacacacbbcabacbaaaaaacbabbacacbbbabacbcababccbaaacbaabcabaaccccbbbcbcbacabcabcccbcaaccbcababbacabbaccaaaabaababcabbcaacbbbbacbcabcbabbcbbbaabacaaacabbbbbcbacbbcabccacaaaabcbcabababaccacabbaabababaacbbcacbacacbabbabcabbbacccbabacbbccbbaacccbaccabbbccbaccbacbcaaaabbabaaacaccabbabccacccbbacbacbabbcbccbbbaababbbbcacbcbaabbabbcbcacccacccabcbbccbbbababcaabacbcbbaababbaacabbbcaaabcbabbacbbabcbbabacaacacabcaaabccbabcbabcaccbaccbbabbcbbbcabbacaacccabbaaccabaabbabaacacbabbbcaacaacbbccccacbbacacaaaaacbbcbbbbaabcaccababbacbbbccaaccaccbcbbcbbabaaacbaaccbbabaacbcaaaaaababcacaccccabcacbcbbbbabbaccaacabccbccabbbaaababacccbabcbbacbcaaaababaccbbbbaaabbccacaacccabbccaacaabbaccbaabaaabcaaacbabcbababbcbbbcbbbbbcacbcaaaabccacaacaaaacccaabaaacbacbcbaccaccbaccbbccccacabaacccbccbbbcabcbbaccccbcaabacbcbabbcbaccbbcbaaaccbcacaabcbccaaaabcbccccbbabbaaaacbbaccbabcbbcbcacacbbbccbababcabccbbaccabbccccacabcaacacbbccaaababcbcaacabacabcbcccbaabbaaabaaaaaaabaacbbcbacccbccbccaaacbcbabcbaaaaccabaccaacccacababcbaababacabbbbabcbbcbaccaccbbabccbbcaccbcacaccabccaabaacbcccaaccbcbabccbcbbabaccccaacaccaccacbbbaccccacbbabaabbababcabacbbabcbccacbbaaaabcaaaccbaacabacbaabbccaabaabbacaabbaccbbbabaacabcbaccbacbcbcbcbabbacbbccaccaccbabbccaccccccbbbbaccbccbaabbabcabbbbaccbcccccbccbbcccaabbccabcabaaacbcaacbbaabaacbacbbaabbbaabcbacbccabbcacabcbaababbaaabbabbbabbcbaaacbccbaacacbbbbaccabaccacaacccaabbabcccbaccabaaccaabbaaabbbcabacabaabbabbbbcacbcccbbacabacbbbcccbaaaaabcbabbbbabcbbccaabaccabbcccbaccbccbbccbbabbaccbcabcbbabcabaacabbccaacbabbbaacbbcabccbcbabcaabbbbcbabcbbbacbabcbcacccbabbccbabbbcaaaaaabbccbcaccbcbbaaabaabacbacabaabcbbacbababcbabacbbbaacacabaacccabbcaaccabcabccbbbccabacabaaabcbbacabbbcbaccbbccacbcbaacbaacacbbbbacaabccaabbabaaaacacbaabbaabcccaacacccccabaaabbacbabbacbaabbbbaacabcccaaaacaccbbbaaaaaacccbbbccccaaabaabacbcbcbcabbcababccbbabcacabacbaacacaccbacaabbabcbacbaacbcaccabcccacbcbcccabbabcbabbbaacacaaaacbcaacccbbbbbcbbabbabaaaaccbbcbbbcbcabbcacaaaaacbacabcbbacabcaacbacbbabcaacbaaccbbcabcbccbbbcbaababcbccaccaaccbcabcbbcbbaaaacbabcabcbcbababbccccacacabaccabbaabbbbacccbccccccacbaababbcbbaacabaacabaabaccbcaacabcacbcabbcaacccaaccaabaaabbaacccaaacccbaacbccacbabcbbbbcabbaabcbaaacaaaccabbbacacbaaaaccabbacbbaacbbacbabbcaabcabbbabaccccaacccbcbbbaabbcacbbcccabaabcaaaaacccababccbbabbbcacabbbcbcabbababcbababbbcbbbacbbcabccabaabaabbbacabaabacbbabcbaccbccbccccacbacabbbbcaaacaccaabacccbbacaabaabbababbcbbaaabaabbaacbccbccacbcacccabbabbbcccbacaaaaaccccaccbbcbbcccabababbbbbabcacacacacabbabcacbbabaacabbccacccacccbcccaaaababacbbbaaaaccbcbccbbababbcbaccbcbbbabaaaccbbacacabaccaabcbbcabbbabcbaaaaaaaacbaaacbbbbcbbabbcaaaacacacabaacacacbaabbaabccabcabaaabbbcaabaccaaacacbcbabbccbabcabacbabacaccabcccaccbbaaccabaacbcbbbbbcccacbbabccababcabbacbcaaaccbaaabaacbcaacbbaaaaacbccaccaaaccbaabcbcbbcbbbccacbcaacbaaaccccbcaaccacaccaccbabcabbcaccccabcbcaaccacbaccbaacbbbbcababcbccaccaccbaaabbaabcccaacbccbbbbccabcbcbcaccbcbbabaaabaccbbcaaabbaaacacabacaccaccbacccacaabbacaabccbaaaccbacabbacbaabacabcabbcabbccaaaaaacbacacacabccabbcaabaabbbccbaccbcacaaabcaaaabaabcaacccbcbacbcacaabaaaacbabaccbabbbbcccabbbbcaacbcbbaabbcaacbaacacbaccabccbccbccbacbbbbccaccbaccbcbaaacbcbbaccccbbacabacccabaccacbcaccccbbbcbcbbacabacbcbabcbcbabacabcacbacbccaccabaaaabcccaccbacbcbbcbabbbaacacccbcabaacbbaacccbcabcacccccbabcabaabcccaccbbabbcaaaacabcaaaacbbcbcaabcbcbbbbcbaaaccaacbbbbabbbacabccacaccbabccaaaababacbababacbbbccbaaaacbaccacbbcbabbbbcabcbaabcaaccbbccbaccbababaabbbbcaaccabbacbcbbcaabcbcabcaabaabaaacaabbccacaacaabcbcacbbabbcbccaccbccabbabccaaaacbbaaccaccacbcbaacbbcbbbbacccbaacaaacbacaaabcccbabcbacabcaabbbccccacbccccbbabababbcbbcaccbaabccbcacbbabcaacbbbcaacaacbbcaccaaabbbbacbaaacbcabbbbaaaabcbabcabccccccccacbabbbaacbaabaacbcbbccbbaacacbaaabacaaaaacaaacacacacbaaaccbbbbaabcccbbcacbabcbbabbacaccbaabacaabcbabbaccbaabbccbaaccbcbccbacabcaacbabcbabbabaaccabacaabcbaabacbccbaaaabbcbcaaccaccabaccbcbbcbccaccacbcaacacbcabbbbabcaaaaacbbccbacabccccbbcaabbababaabcabbbbaaccaaabababbccbaabacbabcbbaababbcacbabaaaacccbccabcabccbcaabbbbbbaaccccccccabccbacaaaccbcccaccabbcabbcbbabbababbcaabccaccaaabbbbcabaacbbbabbbcabccbcaccbcaacabbcbccccbabcbbbcbbaaacbbaabababcccbaaabacbaabaacccbbbbbbabbabcaaabbabbbaacaacaccaaaaacbbbacbbccabbaaccccbbabaaacbcacbcacbabaacabbacccaaaaabbcccccaaaccbbbbaccbaaaacacccaccccacccabbabcacccbabaabccaccbcccbcbccaaacbaabcacbccbbbabacabbcaccaabcbcccacbbbcbcccbccccbbccabbccccaabbcaccccaccaabcacccabbacbcabbaccaaccacacbababbcabbbccbcbaacbbabcaccabcbcacbabcccababacaccaaaabbacabcbbaababbbaccccccbacccaabcabbbbbaabaccbcacbbaccbabaaccabbbbbbcacbbabccaababacacccabbbcbcabbbababcaabbbcacbbacabcabaabcaccbccbcacacccbccccaacbaacbacaaccccbaaabcccbaaaabaacccacbacbbaacbabbbccbacbbcaababccbcbaacaccacbccbbabcbbcbcbcbababcbcccbabbbabbcaaccacacccabacbccacaacbbcbaaccaaccababbaabbbbcccabcbaabcbaaccbbcbcaabcaabcaccbabbaabcbcabcaaabbaccabbbcbcbbbbcacbabcacacbbbcabbaaabcbaabcbabcbbbbbcbbabcabbbbcccbbbbcbacabbccaacbabacaccacccacbbababaaaaacabcbbccbcabcbbcacabcaabcaacccabcccabccaaaacabbaaaccaaacacbccbabbbbbbacabbcbcbcbbbacacbbbbcccbacabcccabaaaabaccbacacaccbaacbcabccccbbcaaccbbbcbbcaaabccabaaababcbaabaaccbaababbaaacbbbcbaaabbaabbbacccbccbcabcabbabaabbbbaabcccbcaabccccabbbcccccbaabccbbacbabccabaabbbababbbabbccabbccbcababbcaabcbaaaacbbbccbabbabcbbaaacacbcabbbbbaccbbbaabccababcbbbbbbacabaaaaaabcbaacaaababbcabbbbcacbbbbccbccbccabacbacacacaacabbaabccabbbbbacbccbcacbbaaabcbcaacabaaccbbaabbbbbcaccaacaccaacbbccabaccbcbcacbbaccccbaacabaaabbaaaabccaabcbabccbbcbabaabaacabbcbbbbbcaccaaacccbbbaabcacbaccbaaaacacbbabaccbcbacccacbcbacababacccbcbcbaababbbabacacbcacaacbccbacbacababcbcbcabccacaabccabbbcbbaacccbacccacabccaccacbacbbacaaccacccbaabacaccabaccabcabccaaaacbcbcbcbcbacbcbabcacacaaacccaccbcbcabccaabbbbacbbcccbaabaabcacaabbabcacabaaababaacccbcabccaaaabcacabaccacabbaacacaacaacbbacaaccbcbbccbcbcabccaacaabaacbacacbcbbcccacccccabbaabbcbbacaaaaababcccbbbbbaacbcbcbcbabbaccaccabbabbabccabbcbbccabccabcbbbabcabccbcbbabacabacbcabcbaaccbccbbbccaaaaabcabbacbababcbbcbbcbabaaacaccbabacaccaabbcabbbacbbcabacabacaccbccbacabcaaacbaaccbcbcabbcaabcbbaaacaabcabacaacacaacaaccbbcbaabbaabccaabbcabaaabbaacbbacaaccccbbbcccbbcbaccbaacccbbbacbbacaacbbcacccbabbbcccacbccacabacabcaccbccacbcbaccbaaccccbbaacaababaaaaaacbbccaaaacabaabaabcabcbcaabbcacbcbcaccaabccbbabccacabacacbcabaccbcbbcbbbcacccbccbcbacccccbaabaacbbacabbabccbaaaaaacbabcccabcabaababbbcaacccacacabcbbabccabbbabbccbbaabcaaabacbccacccabababbbcbbcabbaacaccbbccabacbaabcacccbbbbbaabacbbaacaabcabcbbabcbbbccccabaccbbabaccbcacacccbacaabbccaaccbbcbccaaacbaaccccccbacabaaabacbcccbbcabacabaabaabcccccccacabbacbaccccabcacaaabbacbcaccabbcaacaacacacbcaababcacccccbacaaaaabbcbaacaaacacaabccacbcccbcccbcbcccaaababcccaaccaababacbcaabaacbabcccabbbacacbbcaaacacccabacbcacbbabbacbacccccccbbcabcabaababaccbbabbbcacaabcaabbbbbbbacaccaabcbbccaccbcbababbccacaabaababcabcabaabbaccccbabcbbbaaabbcaccbbbaaccaaccaacaaaacbcabbbabbcbbccbbaccbaacaacbbbbbcbacacbabaacbbcbaccbaabaacbccbaabcbbcacacabbcacaaaabbbcbccccbacbbbbbbbbaccbabaccbaaaccababbcccaaacbbbcbbbccbbcbcaccbccaababcbbbacabbbacbbbccbabcaababcbbbcbcbbbcccbacccabccbaabcbaaccbacccabcabccaaccacaaacabbcaccbbcccbacacbbcbaabbcaccccbaccaccaccababbcbabbbcbacbbcbbccaabacbbbcaaacbccccabbbaaacbbbbabbbbaccacaaabcaabbabbbacbabcbbaaccbcaabbccaacccabbcbabacbcccbcbbccbbabcbabacbbbaccccbbccccabccbbabbaababcabccbbccaabacbabbacabcbcbcccbaccccabcbbbbbacacacaaaccababcbacabcacbbcbacbbabbccbabbaabaabcbcbbbababacaacccbcbabcbbccbcbbabccbbacabbacbcacccbbcabaaaaaaabbbacbacbbababbbababbcabbccabbaaabbbcaaaaababccbacbcbccaccaaacccaaaccccbbbbbccaaaccaaacccbccaaabaccbcabaabcaaacbabbaabaacbabbbbacbbcbbcaaaacaaacbbbbbbabacbbcbbcbcbbcbcababbbaaababcbcccbaabaccaccccbbcabbccacccaabbacabcbbccbbabcaacaccabbaccaaacbaabcbaaacccabbabbbabcabbcacbbabcbcacbbccbacbabaabcaacaccbaccabbbaaabcbbbcbccabaaaccacaabacbacbbbacccbaacbccccabcabbbccbccbaaaabbbccbbcbaabcacababbcbaabbbaaacaacacabbccabcbbccaacbcacbbcbbccaacbaacabbbbabbaababcbccbcbabbaaaaacbbaaabaabaabbabcbcaaacbbcaacaaaacaaaaabbcbbbabababcbcbcbbbcacabacbccabbbbbbbbcbcababccbcbabcbccbcbbcbacabacaaccaaaabbcaabaccbbcaaaabacaccbbcabbcbaaaaccbbbbbcccbaabbbcbbcccbcabbcbcaccbcacbccbcaaabaaabaaaacabcacbabbababcbaaaacbccaacabacbbaccbcacbcbcaabbcacabcbaaabbaacbaacbaccbcabccaaaccccccbbbcaabababcaabababcbacaacacbaccbaaabaaaacaabccaabcbbbccccbabbbbbabaccbccabbacbbbcbbaaaaababcbbaabbbbccbabcabacbaaccbacbcbcabaccabcbbccbbbbabacabbccbccbaccacccbacabbbbabcbababacaaaabbaacbcccbccbbaacbccccacaccbbcabbaaabaabaabacbacbcabcbbcacaabbcbbbabbbacccccacbbcabacccaaabccaccbcbbaaaaacabbbabbacbbbabaabcabbbbabaccabbccacbccabbcbcbabcabcaacabbaabbcbabacbbbabacabccbaaacbbaabcaaacbcbccbbbcaaacbcabbbabccccabcaacabbbbbbbcababcabacaccaaabcccbbabacaacccaacabbaccbcaacccccccabbbaaaacbccaaabcacaccbaabcbabcbcbacbabbaccabaacaabaaacacabcbcbcbcaccbaaaabaaaacbbcaaababaccbabaabcccbcbabbcbcabcbabacbcbaccbbaccabbababbbcbaabcacbcbbbacbccccabacccaccbaccbccaabcaabbcaacaaccbbbaabccabacacbbbbcbabbcabacbcaccaaaababcccaccaaccbaabaabbcccacbbabbabcbabbccabbbcbbbbccbacaacaccabacbbabcacbbbccabbbccbbabaccbbccccabcbcacacabcaccacbcbacbcbcbcabbaaaaacbbcacbbaccacbbbbcaacbcabaabbabbaaccabcacbcacabbbabbcbcabacbbcbcaabcbacbcabcbabacaaaacbcacaaaaabbcabaabaaacabbbcabbcacacbaccbacbbccbbacbcbbbacacbabcbaabaccbccbaaccaacabaaabcaabbbacaacccbcccbabbbbcabcccbcabcbcacbcbccaabcbaabbabccacccacbabbbcaabaaaaabcabccccbabbabcccaaacccbbbbccabaacccbcbcacbabacaababbbbbcbabbaabacccacbcbaabbcbacaacbccacabababbacaaacabccbbcccbbbabccacacbbcbaacbcacbbaccbcacbcbcaccbbccbabcbccacaaabbbbcbbaacabaabcacacbcabccbccbabbcbbacacaccbbaabcaabbcabaacacbababbccbcacbaccaccabcbabbaccbcabbaacabbcabaabcaabbccbbcaabbbccbccccbbbabcbbabaabccbcbaaaaacababaacbaacbbabbaababaccabacbabcbacbabbabcabbbbccbccaccaaacacabaabaacbaabcbaabccbcacaababbcbacbaabcaaaaabcacccbbcaaabacbcacbcbacbbaabcccaaccaaaacbcbcbccababaacbccaacacccbacccacbcabbbbaccaccbabbccaaaabbcccbcaaccaaaacabcaaaabcaabcaaabcccbaababcabaaacbcccbcaacbacacccaacaccabaabbbabbbacbbbacbaccabbbbbbbabcbcababaabbcaabcccaaccbccbaaabcbaacaacaacaabcbcbbaaaacacabbaacacaaababaccbcccccaabbbbcaacacacacacacbaacbaacabbabacccbbcbcabbcbcabbcbbbabaabcbbaabcacbaabbbbaaccccacaabacccaabababaabacaaaacacbaccccbaccaaacaaabbcabbabaaababccabcbcbcbaabbccbabbabbabbcaaaaaacacbbabbbcabababcabbaabbbaabcacbaaabbbacbcbccaacbaaabbcccaaacaaaabbacbbabcacaaacabcccaaabbbbcaaabbcaababcabaabaaacbabbcbbcbbcaabbccbbbccbbcabcbacaabccaacbcccabbccbbcaabaaabaaccaaaabbabaabbbbbcccbcabcbcbbaacbbcbbbbcabbbcacabaaccabcabcaabccacbaaacacbbacccaccaaabbbaaacabccbccaacaccaacbbbcabbaaccbabcbbbbbacababcbccccababcbcacababcacbabbacbcabbaacccbcbcccabccabcabcabaabccabaabcbabbbaabacaaccbcababaacbccccbbccbacaabcbcabcbabbabcbbacbabcbbcabbcabbbaaaacacabcbcbbabbcbacaaccbaccbcbcabbaaabcaaaababbbbaabaccbbccaccccabbcabbabcaacaabcaabaaaccbbcaaaaababacacbcbababaacabcabaccccbccaccacbccabbbcbcbccaaaaaccccabababbabbbabbacbbacbbabbbcbaabacaacacabacccacacbbabaababcccacbccaabbbabbababccabcaabacababaabccaabbbccabcbbbbaaccaaaccacabcbcaacbbbcaacacbacbbbabcccccbcacbbccacaccbcacbbccaaacccbababcbccbcaabbcccccaacbbbacacacaaccaaaacaccabbaccbcacacaabccababcacbcaaaaabccbcbcacbccaaaabcacabaaababbcaacacaacabbcaccccabcbabaaacccbaaaaccbcbbabacacaaabcbbabaacbbbbababccccbaaaaaacccabbcccccabbcabacabbabacbccbbcaaacbbaabcccabbcacbcccccabbabccaacabccaacacbbbbaacbcaaacabcaabbbaaccbaacbabcacaccacccaacacbbcacbaacabcbaccacccaaaaacaaacaabcaacabbbaacbccccabbaaaaaabbccbcbbbbcbcbcabcacccbacbccbbbbbbcbbbbbaabccbabacaabbbabcaabcacbcccbbbaacabbacaacbccacbcaccaacacaaababcbbabccbcaaaaccbcbbbbcccbcbbccbbababbbccbacbcaacbccababacbccccccaccaabbaccabbbcacbacbacccbcacbaccbabacbcacbbcacaaccacacaaccbcabbcbbabbacbccbcaaccbacbaabaacccacbacabcbbaaaaaccacbbacbaaaaabcaccbbabbcbbbabcbcabbaabcccaccbbabacacabbbaccbbacabcabbcbcaccaabcbcaaabaabcaababcccbbcbbbccbaacccbcaaacabbcacacaaabaacbaaabbbcacabbcbabbbcaaaabbbabcbaacbcbabbabcacbbcbcccabacaacabbcbcabcbccacacabbcbcbccbcacacbabbbccbcabbccababacccabbbcbbcbaaababcbabaacaabbcbabbbabbbbbbbcbcaaacbbabcaacacabcaababacbbaabaabccbbbbaacacbbaaabababababbaaabcbbccbabacacabcbacacccbaabaaaababbcabcacabaaacbaacaabbbacabbabcbcbcaccbbaccabaaccbcbacacaaabccccaaaaccbcacbacbbbbaabcbbcbbacbacaacabaaabbbcbbbacaabacbbbccbaccbcbacccaabaccacacbacccbcbaccbaabaccaabbacbbccacccbbcbbbaabacbacaabaaaccbcbcbcaabccbbcaabbccababccaacbaaaabacacccbaccbbbbcbbbcbaccbbaccabccaacabbccaaababbcbacacbcaaccbbbbabbbbaaacacaaccaaccccbcbacbbcacaaacbcbbbbcaabccbaccbcccaccabaabaacbbbcbbabaababcccaabcbcabcbcbbcbcbcccaaacbbcbbccacbacbaabcabcbbcbabcaacacacbbcabacbaacbbabababcbaccaabcaabaabcbcbcbaaaccaaaccacbbabbabaacbcbbcbcabaacaaacabbbbacacccccbcbbaabbcaaabbbcbabacacababaccaccccbacaacbbaaccabbbcaabbcbabbcbacbbbabcccaabcaaacbabccaaababacaabcbbbcccacaacabbaabaccacaacabcacacbcaccbbcbcbbccaaacbaabcaabcabacabaabababacbbabacabccabcbccbcabbaaaaabbcacbcbbcabaccbcbbabccbacaccbaabbabcbbcbbbbabbcbacbcaabcccbcabaaaabcaababccabbacbaccbbbbbacbacbacccaccccbccbaababbbcbbbacbbcbabcbcbcaabbbbbcbcacbbabcabbbabacaacacccabbbccaabbacacccaabcbcbabcacbccabbaaacbbcbababbcaaccabacbbcccccbccacacbaababcacbccbabcacbbccaabccabbbacbabcbaaccbabcaaccccabbaaaaaaabbccabbabbcacabcacbacccaccccccbcbccacbbabcbbbbbabbbcaabbabcccbbcacabbbbaabbbccbaccaacbccbccbccacccaaaacccaabbacbcccaacacccccbcbbaaabcbcababacabbaccccacacaacccbcacaabaabaccabbaacbcacbcaacacccbcbabcacabbbabbbbcabacaabaaacbabccbccbcbaabacccbcacbbaacbcccabbccaabbbaabacacbaaccbccbcaccbbacbccbacbcababacccabbacaaaccaaaacccccccbbbcabbcabbabacacaacbabbacaabbcbabbbaaabbcbabbcaccbbabccabbaaabccbcbbccaabcabacbaacabccbabbbcaabccaaccaaccaaababbbcacccaaaacbbaacacbaacbbccbbabbcababababccaaacaabcacbaccaccacabaaabcbcacbcaacccccabcbbccaaaaaabcabbcbabaccaabcacabbbbbaabaccbccacaccbbabbcbcacabacbccababcaacaabccaaacccbbccababccbaacabbaacabccabbbabbbbabaaacaacacaaacccaaaaabbaacbbbabaaccbaabbcbaaacabcccaccacaaacaabababacabbaccabcabacbbccbcbcbacababbbcbccaacbccababcbacbcbcacbcbccbbaacbacbbccacacabbbacccbcabcacbccacbaabacbbbcbcaacbabccbbccaccbacaaacacaaabcaccbccbcbbaabcaaabbbccabcbaacaccaccbcbbbbcabcbcbbbccaabcbabcabbabaacaacacacccbcabaacbabccbacbbcccaabbbbbccacbaccbacbcaaacabbbbacbaaaabaaacbcaacbbcbabcbcabbbcabbbaaaaacababbccbaacaaacacbcbabaaabcbbaabaccbbcabcbcaabbcaacaccbcacabaacaabababaabbcbcbacbccbaabaabcbbccabbbbcacbbbcabacbcabaaaacbbbaabbbbcaabbbbcacaaaabcabcabbaabaaaccabbaaaccccbbbbcbcbbaaabcaabbcbbbcaccaaccccccbbbcaaaccbacbacbccbbcccbbaabcacaaacbaaaacbccbabcccbcacbaabbaaabbbabcbbbcabcccbbbcbacbcbbbccbcbccacbabbcccaccabbbcaccbaabaaaabbacbbcbcbaabbaaccaccaacccbcbcaacbabcbabaaaacbaacaabbaaaccbccabbbccbabaaabbaccbcaaabbbcccaacccacaccabbcabacbccaccbbbabbacbcaaacbccababbabaaccccbabbccbaacabcbacabbcabbcababcbccabbccbabccacacaacabbbaabcacbbacbaccbcaaababccccbbaacaabbabbccbbacbbbbbacacbcbcaacbcabccabccbaccccacaabcccbaabbccabacaccbbccbaabacabcbbcaabaabbabaccbbcaacaccccbabbbabccaaacaaabccaabaccbacbaccabbbabcabacaabbbcacbabcbbcabcccbacbbcacccbcaaccacbbcaaccbbcaccbcbabcacbaabbbcaccacabaabbccabcbccacabcaaabcabbbbbbcccbbbcbbccbbacacbacbbbabbaaacbbccacaacbbcbacabcbaabcacabbcaabbabcacbcacbbccccaaabacaabcabbaaaaacabbbbbabacbbbacabbcacaacaaaabcabbbbcbbaabcbaabaccccccabbabbbbabccaaccabbabaacbcbbabbccabbabacaacaccaaacaabbccbacabcbcbaabaccbbaccbaaacccabbaacaaabbbccbcbacacccbabbaaaacbbbacbabbcbccacabbcbcacbbbaaabccbaabccacbcaabcaabcbacbabbcacabbbcbabaaacbbccabccbaacbacacbbbacccabccabbcbbcccbcbbbcaaccbacbcacabaabbcaccaaabccbabbcababcbacaccbacaabacbccbacbabaacbaaccbcbbcaacabcbcccbcbaacbbbacbacaabaabccacbcccaaccabcbcabacacccaacacccacbacbbaaabaabacbbbacababcaacbbaaaccabacbcbbbaacbaabbaabcaacbcabbbacababaacbabacbaacbcbcccbccbcbbcbaaaabaccbbbcbbbabcacbcaacaaabbaaccccacaaccccaccaccccacbbcaaabbcaabbaccacabbabcbaabcbbcccaabacccbabcaaababbbcbbbcbabcbabbaccbbbacaccacaccbacbbbabaabaabbacaabcccabccabacbbcbaaacaaabcabbbcaacacaccacabcbcacaaacabbbbbaaaabaaabcbaaabaaaaaccabacaccababacbaabbabcacbbcbcbaabbcccccbabbacabacbbababbcccaabccbbbaabacacacbccbbacbbccbcbbaccabbbaacaabbbaabbbcbacaccbbaccaccccbcaabbcbccbbaabaaaaccaabcbccbbbbbcaacbaacbcbccbccaacabbccbbaaabacaacccaabccbcbbcbccaababbbbacbbcbcbcbcbbababbcbabcabaacabbbccbabccacbacbcbcabcccacbbabaacaaacaabbaccbcbbcacbaacbabbccbbbbcabbcabbbcabbcbabcaaaacaaacacbbabccbbbbbbccabcaccbbbaacbbbbbbcaaacbbbbccccccbbbbcbaaaababacaacbbacbacccacaaabbbbccacabaccbbbbbbcbbcaccbbacbccababbaccabcbcabbbacbbbabbbcaabbbbccbcacaacaccbaaacbccbcbccabaababbcbcbbaacababbbcccccabacacccccaaaacabbacbacabcbaabcbaacbcabbbabcabacaaacacbaccbaaaabacaccbacaaacccbaacbacbbaabcbccccbcbbabbccbbacaccabacbcaacbbcaccababaabbbcabaabbacaccbcabcacbbbcbcccabcbcbabaabababccbabccabbbccbbbbcbccbacacccbaacbbbabaccbcccaccaabcbccaababaaaabbccbcccacbbabaabcaacacccbaabaaaaacbcbcacbaaabaabacbaabcacbbcacabbcbaccbaccbaabccaccbacabaccacccbaacaccbbbccccbccbacccbacbbaabaaabaababcaaaacacacaccbcabbbabacbaccbcbbbccbbcbaaacbcacacbcaccbaaacaacbabacbbababbccacaaccbcaaabacbbccaaaaacaaaacaabbcacabaaccaaccbcbbcbbcbccabbaaaabccabbbbbcaacbaaccbabababccbaabcacbbcbbcacaaaaccacaaacabcbbacaccacccacbabaacbbcccacabbbacbcabccaaaaaaacbcabbbbbbbbaaabcbabccacccbabacccacabaabcbbcacabcaacbaacccaccabacbcbbcbaccbacbaaabaccccbbabbccacacaaacbbcbbcabccbcbcccaaaaabacbbccbbacabbccbaaccacbcbacaaabbaabcbbccabbbaaaccccacbabbbabacaaabcccccaacaacaaabbcabcbacbcbcaabcbabbcacacbacabcbcbccbabcbbcabacccbbacbccbcabaaacccaacbaabababcbaabbabbbacccbaccaaaacabacbbbcbabbcabcbccaacbbcacaabbaabbbcbcbcacbccaaccbaabbbccbacbbcacccbaabacabcbaabcbabaacacabbacacaaaaaacbcbaaccccacbacaccbacaabacaacacccbacbabbcaaacbbaccbacabcbbbcacbcabacbbbbccccacabbaacaaacaabcbbaabccbaabccbbacbbcaacbaabccaccaaabcabacbcacabacacbbccccaccbbcbacbccacababbcbcbbccabbcabaccbababcabbacbbcacbaabaabaabcaaccacbcbcacaaabacabcabaaaabaccbabbcbbbbabbbbabaababcaacacaccccaaacbbaccbcababacbabaccaccaaaaaaabbaababcaacabcbaacabbcacbaaabcbacaccbbccccaaabcbcccccccacbbacabbbbcbacabbcaccccacccccbbccbabbccbcbbccabaacbaaacaacabcbccbbccacccccbacacccaccbccccabcbabcaabcabcccbcccababccccbbbbccbcacbcbcbacccbbccbacbcbbabcbaabacaaabbbcaabbabbcaabbbccbbbbacabcaabccabbbaacbcaccacccaaccbbbaccbaccaaaaccbabccccbccbcccccabacbcacbcaccccacccaccbacbbabccbacbbbaccbbcbbcaaccbbabcacbbbabbaabccbbaaaaaacabccbcccbbbcbbabccbacccbbabbcbaaccaacccbacbcaacacaaacbcbbbcbaacbbaaaacabbbbcacbbcabbabbcbcacabccccbaacccccbaacabcbbbbacbcabbbabbccbccccbacbacccccabcaaaccabcabbbbaacccbccabaaccbbacbcbbacccabaabbbbcaaaaaccbbccaaaabcbccbbbacacaacaaaabbbcccaaccacaacaacbbbbabbcababbbcbbaaaaaccabcbbcccbcbaacbccabcbcabaccbcbcaacccacaacabcaacaabbabbaaabbbabbabbabbbacbacbbccbbbaaacacbcaabcbccacbaccbcabccacbbaccabcbcababababccabcaccbcccaccccbaacacbaaacbbaacbcbacccbbcacbbccbacbbbaacccacccacbbaaaccacabbabcbacbbbbbbcabcbcbbcbaacabbbaacabaaaaacabcbcbccaaaccabaccaaccbbbcaaaacababaabbbbabacbaccaaabcaccbcbbaaabbbcccbaabaacccacbbcaacacabcccbaabbcaacabcabcacccabaccabccacacbabaacbbcbcabcacbcbabbbbcbbacacaacbbabcbbacabaacabcbacbacbaaccccbaabbcbbbabaababcaccbabccbbabcabbbbabacaabbbcbaccbcccbbbbbabbcaabccabcbbcccbbbacbbbbbbbcbcaaaaabcaacbcccabacbcacbabcaabccaacbbcababbbcbaabbbbaaacacbccbaacbbcacacaacccabcaacbbabbbaacababbcabbaacaabcaaaccbcbbcbccccccccabbaabaaabacbacbcbbbccacbabcaacccbcbaabcbccbabaabbacaccccabbcaababaacabaacbcabaaacbcccbabccbababbcaaabbaccccaaccbabcbbbabbbaacaacbbcbbacacccacbabccbccbacaabbccacbbcbbbbbacacbbacccbaabbcbcbcaaaccbabccabccccbcacacabcbbabcabbcacccbacccaacabbaacacbabcabacbcacacbcbbcbccaacacbacabbcacabccaaabcbacaccccbcbccbabbbbbababaccbaacaaccabbaabcbabbabaccaccaaccbabcccbccaabacacbcbbbaccbbabacacccacbcbacacaaabacbabcacbbacbcaaccaaacccbbccaacabcaabcbbaccacbabbabacbababacaabbaccbccacccabaacbbbbccbaabcabbaacbababacbaabccbcbacbbabcccbbbbaccbcaccbababbccbbbbbbccaacccacababccccccaaaaaabcaaaabcaccabccaccbaaccaccacaaaacccbaaccbaaaacccaabacaccaabcbcbaabaaacaaacacbbccbaacccbaacbccacacccbaccccbbccbaaaaabbacabaccbaacaaabaabcbababccbbaacaccabbcbbabcbccccbbbbbcaaabaacccbcbcccbbabacbabbabbcbabaccbbbcacbabbccbaaaaccaaabcbaaaabbcbccaccabccbccabacccacccbbcaabaacacccbacaabccccbbbabaccbaaaabcbaaabccaabbaaaacbcaaaaabcccacbcbcbaacccacaaaacabacabaabccbbababcbabaccbccbabbcbbcaaaacacbbbaccbbabbcacccccacaccaaacbbcccbcbacabcaabcbacbcaccccaccbaccbcccbaabbbacacbcaaabcbabacaaaccbbcccaccbcbacaacccbabcbcaccacccaaabaaabacabaaacabcccaaaaacbccaabbaabbbacbacbbcbaabababbcbabaacbaccaaabcbacbbabaabcabaababacbcbbaabacaaacbbbbbcbcccbbcbcbabcabbbcbaacbacccaaccaaaccaacacabcbbbcbcacbacbcccabcccccababaccbacbbbabbbaccaabbbbaaccbabbbcbbaccbbacabaaacbcbacccbacaabaaacbbaaacaaaaaaabbcaabbcbbbcbcbaaacccbacbbcaaccabbbbcaaababacabacbacbcacbbbbbcbccbbcbcccbaacabbcacaaaaaabccacaacbbaabaccabaccacbaababbbbcbccbcacbbaaabacbacbcccccabbaababcabaaacbccccbbacbbbbacbababbaccbabcccaacaabbbbaaacccbcaaaaacbabbccaacaacabbccccaaaabcaccabcbaacbcbcabccbbbccabacaaabbacababababccccbcabcaabccaaacccbcabbaccbbaccaacbbcbcbaaaabcaacacabacaabcccbbbcccbcbbaabacbbaccbbccbaacaabcaacbacccaaaaaacaaccbbcccbbbcacabcbabcccbbcbbabbacccbbccbcbccacbaccacacaccaabacccbaacbabbbaccbaaaccaacbcbcbaaccacababbaccbcaccbcbbabbbbcbbacbbabcabbacaaacabababcabcaacabcbcccbaacaabbcabaacabbaacbcabbaabbbcaacbbacbccbabcbbbcaacababababbaacccabcbabaacbbaacbbaaabcaccccbabcacbacacbababaaababcbaaccababbbabbaabacccabbbabbbabacccaabbabccaaabababbcbccbabaaacccbbaccbaacacaaccbcbabacbbbaabaaaabacccbabbbccbabacccabaacbcbcbcccaacbabbabacaaabbbcabccbcabccabcbbabababbcbabbacaacbcacaccbbabcbabbaabcbcbaccbaaacbbcacbcbcabcababccaaaaabbbaaabcbbbbbbccbaccbbbcccbbababaaacaaccaaabbaababcacbbaaccbaaaabbcbcaccccabbabaaaabcacbaacaabbaabcbaccccccbbaccbbcbcccabbccaaabccbacaaabbcbbccbbcccccaacacbabaaccbabcbaccabaabbabcaccaaaccabccbbaaabbccbccabbbccabcccabbcbabbccabbaaccaccbacbcccbaacbcbcbcbbaabcaaacacccbcbaacacaabbabbabaabccbbbbbaaacbaccbaaababacccbbbbcbabbcbaccabaabcbaaacccbcbbaacaaaaaaacabbacabcbaacabbbbccabbcbaccbabcaaacbcccaaabcccccbbbbabaaaababbcccbababaaccbcaabbcabbbccbbabccbabcbcaabcabbbcacabcbaacccaaaacacaaacaabbaaabbbcabbbababbbacbacacabbabcaacbcaabcbabbbcbcbacbababcbcacaaabacaacbcbabaabbcabaacaccabbbabacabcbaacaabcabcabccaabcbabbcbacacbbcbcacbababbacbaacaacbaabaaacbbacacbaacbaababcabccaccbcaababaaacbbcbbbcabccbbcbcaabbababcacbcaabccbcabcbcbbbbbaaabcbccaaababcaacaabcacabccabcbccccccaabaacacccababacbcccbcbabccaaaacbbcbbacabaaacbaaaccacacbbcbaabbaabcbbbcccaaabcccaccabaabbcacbbbaabbabaabaacacccbaaaccccaacccbcabaaabaccccaacaabcacccbaaaaaccacbbbbbcaaccccbababbbaacbbccbcaacaaaacccccabaaaaacaaacabaaacacccccbacccaaacbbabaabbaccbcabcccbacccabaacaabcbabbbbccabacaccccacbbcbaccbcbcaacaaabaabcbccbbbcabbabcbbabccabaccaaaabaaabaccbbcaabcaaaacbaaaccbbbbcbbbbaacacaabaabbbbbcbbbbcacccaabccbacabcaaccbabbaacabbbbbbbabcbcbbcbbccaabcacbccacbbcacacbacbbbbabcabcabbcaaaaaaaacbbbaaaabcbcccabaacccabccaabaaaabaaacaabaaacbbbbbbcaccaaccbcaababacbccbaccaabacaaaabbcbabcacccabaacaccbcacbbbbabccaaccaaacbaabbbbbacabcbaabaaccbcacabaabccabbacbbaaacabcccccacabcbcacaacbcaabacbbabacbbcbaccaccbaaaacabbcccacabcabcbcccccabacbbcaaabbbcbbabbbacbabccbcaaabaaababbccbbbaaaaaaacabcbbcbcccacabaacbbacbbacbbcbbacaccbcbcbbccbbaabcbbaacacbacabbccbccccabbacbbbcabacbbbaccbbcbcbaacabcacaaabacaccaabccbbbacacbcccaccccaabccbabaacbccccaacaaccaaabaacaccbcaccacaaaaabacbbbbabbcbcbcaabaababcabcccbccbaaabacaabccccbaaabbaabaaaacbbacbcaccccbbabcbabaabbcabccccbacacacbbbcccbaacaacacacbccbbbbacbbcccbcacacacaabaccbaabbcbcbaaabaabbacbcacabacaabbbbacaccbbbabaaababababbbbabccccccaccaabcbcacabcbcaaababbaacabcbbbaacbaabbccababcaacbcbbacabacbbbaaacbaabaabcacbbbbaaccbbbbaababaccbacbcaababccbcabcaacbbaaaaaacbcacaababbbcaccacbcbccabaababcccaabcccacabbbbbbbacccbaaaccabbcbbaabcacabbaaabbcacabcaabbaaaacccbbbacbaaacbcacbbbbacaccaabccbcbcbccacccbaaccaccbbbbbccbccbbccbbbacabccbcbcaacaccccabbcbacabacaaabcaaabaacccabbbabcbbabcbacabbaabccaaaacccbbcbbbabaaacbabbcbacaacabcabcacccaacbaaccabcbababbaacaaaabcbbbccacaaabababaabacaabaaabccabbabcabbccaaabcaaaabbcbaabbbcbabbbbacacbabbbccababbcbcbabbaccccbbcbbcbccbcbcbbacacaabbacacbcababbababaabccbccbaccccccaabbaccbacccaabbbaaaacabacbaaaabcccbcacbcbaaabbcbbbabbaababbcccccacbbbbabbaaaabbabacabbbacacaabbcacaababbcbacbccaacbccbbbcaccacccbabbabaabacbcccacbbcabbbcccbabcbbabbcbbcaccacabcccbcaccbacbccbcbbcbcaccbbccbaaaaababcacacccaaaacaabbabbbbaacbbbbaabaaabcabcaaccbbabbcaccccaacacaaabcbccabcbbbcbbccbcaabaacccbbbbbbbaccccbcabacbbacaccaaabcabacbcababcabacbbcabbbbacacaccaacbbaaabaaacbbababbacbcabbbbacaacbacbbcabbcbacbbbccabcbcccbbcabacbaacbaaabacabcacccbccbabaacccacbcbbcabaacaccccacaccbbabcabcabbacacbcabbabbbbacabaccaabcacacccaccbabcaaaaccbbbbaaaabccacccababbaaccbbaacabbaaaccbcbaacaccaccaacababaaabbbaccbacccacbbaabbcaccaabbcacabbaaaabbabbcccbcbcabaabaaccbbabcccbaabcccbcaccabccacbbabbcaaabaabaacbcbaabcaabbbcaaaacccaccacbbacbbbacbacbacbcbbabbcbabacaaabcbbcabaaabcccababacbaabbbaaccabccacbccaccaccbcbcbbbbcbabcbacbccbaaaabbcabcbcccbbbbbbbccbacbcbbacbcabbabcccbaabacaccbcacbbcaccacabcaccaabbbaaccaacbbacbccccaccbcabbcaababaccbbbcbbcaacbbbcccccbccbaabbbaacbaabaabbaacbbacabbcbcbbaccccbbcbabbacbcccbbcbbaccbabcaaaaacabbbcbbbabbbcbcbcbaccbbcacabbbcbbcaaaacbaabcbaacacbacabccaaacabacaaacbcccacacbbcbabcbccbbabbbcbbabaabbcccbccaccbbaacabaccabcabbbcbcccaaabcaaaacbabbabccbaaaabbbabbacbcbbbbbcbcacaabacccabaabbaaaaabcaabaccccbbbcccaaababcaccbaaccccabcabcbbbbaabccabcaaccccccbcccbabcbcccbbbcacacbbccabacbbaaaaacbcacacccabccbacabbcaaacbbcbbcacabbacaccaacabcbcbbcccccacababcbacccbcbbbaccaccccbcccaacbcabbbacccbbbbaaccbbbccbbbbcacaaacbbabbbcbccbbaaccccabcacbbaccccabcaaacacbcbabbbabcaaabbcacccccbcabbacbbcccbcbcabccabccaacabbcbbcbabaccaabaacacbcaabcbccbcbcccbaabaacaababaabaabccabbabbbacbabaacbabacabccabaabbbbcbbaccbbcabcbcaacbcbaccbacccbbcbabcbaabaacaababcaabbcbbbcaabaaaabbbacbccbbbacacabbbcaccbbbbcbcbcacbcbcbccaaabbccaccaabbcbacbcbcbbccbcabbaaababacbbcacbcccacababacaccbbcbbacbcbcacababaabcccbaaacabcababaabaacaacbbabcccbabacabbacaabbbbaccbcbaabbbacbaccbbacabccaccaabbabbacbccacabaaacccaaabaccbaabacabbbabbcccaacabcccbacbababbbbabbabbaccccbccbabcccbcaaabbccaaaacbccaacaccbbcbaacacccacbbcbbbbbcbbbccccbcccbcccbcbcbabbacacbbacccabbbcccccabaaaababbbcbcacccaabacacabcacbcacabababaaaacaccaabccbbacaccbccabcbabbacaabacababaaaccacbbcacbaaacbbbcbbcaacbbbaaacbbcccbacacaccaccaccabbcccccbbaccabcbcbabcbbabcaabcacaaaccbbcccbaccaaaaccccababaabcbccbbbaccbcccacbcabcbaaabaccabaacbabaaaabbbcccbaaabbcacccbaaacccacbcccaabbcbcbcaaaaaaacabcabaccbaabaabccbbcababcabcbcbbacbcaccbcbbaaccaabaaabbccbacbccbbbaabccaabbbcbcbbcccbccaccbcabaabbccbaabcbcbbcbccbbaaacccccbaccacabbbabccbbbabbcaacbaacabcbcbcccacbcaabacacaaccaccbaaacbaccabaaaccbbbabacccbcacabbcaaabbcccbbaccaaaccbabcccaacaaccccbaacbbaaabaacbcbbaabbcbbacccbbbbbcabcabaccaaccaacaacccbcabacabcbaacacabacacccabcbaacaaabccacacacbcbcbbaabccbaababaccacbcaaccbcaabcaacbbabbabccaaaabcbbcbcbcacbaaccccaaabcbbaaccbcaabcbcabacbaccabbabcbaaaacbaabcbbbbbcabaacaaccabccacabccbcbacbaabcabaccbcaaaacacaabbbcabaccaacbcabbcccbbcacacababcccabcbcbcbacccaaccaacaabbcbccaaacbaaccacbcbbbccbbcbacaaaabbbbacbccbcccbcaccaacabaccbcabccbaccabccbaacabaabbbcccbbaaabbabaaacaaaccababbacbabcaabbacabcbabcabbcbcbaabccaabbabcbbabaaccbabcabbabcbcbbaacccbbccabccabccbbbcbcabacaaabbabacacbacbbcabcccabbbbaabcacaabcabcbaabcaaacabcbcaabcbccacbccacaccbaacaaaabaacacccbaccabcccababcaccacabcabaccbbbcccccacbbaabccaabbccaacbaaccacbabbabaaccaacabacabbabbabaabccaacabcccccbbcabbabccaaaccccabcacbacbcaacbcaaacbbabcabbacccababbaacaacbbbbbbcaccaabbbbaccbaabaabcababaacaabccbcabbcabbbacaccbbabaccbbbaccbcccbbbbccccabbccaaabaabbcbbababbaaccbbbbbccbacacccababbbbaaaaababcbbcbbbaabbcccbcababacaaabbcabbacbacacbcacbbccabacabaccbbabbabccccccbbcaaccccbcabcacbaaababcbaabcccabbbbabcbbcabaccaccaacbcabaacbbabbaacbacbcccccbbbabbbaacbbacaacbccaccbcbbccbabaccacbbccaacbacaacbbacbccbbbcaccbabbaabacaaaccccbcbccbcaccacbcabacaaccccbacacbcbbbbaabbacbacbbaababaaccacacbabaacabcbcbaaacabaaaaaababcacbcbacbabbaabbcaacccbcacccaccbcbcccaaaaaaaccabbabaacaccacccccabacacaaccbcbacbccabcbbaacbccbaaccaaaccaabcccbacbbccbaacbbcccbbbbacccbbcabbabacccccacacaccccbabcbabcbccbabcabacccbcabbbccbcbcccbbabcaabbcbcabcbccccabcccbacbabbbaabcbababaacabaccaaccaacbccbbabaacbacbbbbbcaabacaaacbabaaaabbcacbccacbbbcbaabcbbabcabccaaaccabccccbaccacbcbbabbabaaaababcaaaabcbbbcaccabbcbabbcabbcacacccbaccbccacbaaaaabcacccacbabbacbcbccbcbcabccacacbabbaaacccabcccacaabbacccacbbccabcabbabaccaaabacaacbaacbaaabacccaabcccccbbcccbaaccbbcbcbbcabbbabcbcaccaccacacbbbacbcbbbaccaccaacccbabcccbaaccbcacacacacbccababcbcaccbabcbcabbcbbcbbababcbcccccccabbbbbcacbaaaaaacbbbbabccabbbcbaabcabbababbaaaaabbcbcbbbbccbccacbcbccbbaabbbccabbcaabaaaaacacbbccaacaabcccbbcaccbaaacbaabbaabaccbccabacaccaaabbbccbabcacacabcaabbabcababbbaabcccaaaacbbbacccccaabcacbcbccbbbcbcabbacbabcbccbacabaccbcbbbcbabacccbbcacbaaabbbbcbaabbbbacacbccaabcbbcaaaaaacccbacbcccacabacbcaacbbabacbcaacbabaaacaabccccbcababaacbbbabcaacacbcbbcaabcbaabccababaaaaccabacacccbababbbacaaaabaaabaacabcbbcababcabaabcbcbbabbbbaaacbbbbaccbaaacabbbcbbabaaacaccacccbaacbabcbabcbaacabbbacababbaacccabbabcbabacbaabaababaaaacabccacbacaaaaacbaabbaababacaabbbbbacaccbabaabbcabbbbbbaaaaccccbbaaaaaacaaaaacbcbcbacbccacbccbbbbcbabbabbaccaacbccabcbcacbccbbaacbabaabaacbbccacbbabbacaacbccbbccbbcbaacaaccbacbabbcbcaacbbaaacccabcbabbbcbbcaababaccbccccccbccaccccbabaccccaaacbcbacacbbcbcbabccbccbaacbcccbcacabaaaacbbbbbbaaacbabacabbaacabcccccbcaaccacabbabcabbcbabacbbaacbabbabbaacbcabcababbbcabacbcacccaccbaabbababbaacabcabbbbccbaccccccabcbbaacabcbacacbabacaabaaacccbccbccccacaabbcccbbaacaabbaaabcccbcaccaaacbbaababcbaacabbbcbacabaccccabbbbabaccbbbacabbacbcbaccabaacbbccbbabcaccbccccaaabcaacccccacccaaabacbacababbbcbcbaaabbaacbaaacacbbacaccabcbbbabcccacbaabbcbabacbccbabbacbcbaababacabcccaacbcacabacabccbbcbbabcaaacbcabacbbacacbbbbcbbaccacccbcabbbacabcacbbbaababcbacaccabacabcbbbcaaacabababbabcbaacacbacbaacccacbabbbcccacccbacabbcbacababaccbcabbabbcabccaabcacababcbaacaccaabcbbcaabbababacabcbbcbbccacbababcacaabbcbcacbbcabacbabcbcbbbacabbccababaaabbabcbccabccaacccccabaacbcabaccbbaaacabbabaaaacbbbbbbabacccabcaacbacbccabcbcabcbcbbccccbacbbcaabbbcbbbaccbbcbbbacacbcbbacbbbccabccccccbcacbcabbcbacabbbbbaaaabbaacbbabcacccbcacababaaccbabcababbcbcacccbaacaaabcabbaaaabbbacacaccacaabbabacacbccbcccbccabbaccbcaccbacccbccacaabaaabbacbcaccabcaabcbaaabccbcbccbcaccabbabacaacabbbbbbbababbbbccbcaabcbcbababbcacacbabbbcaaaabcaabccabbbcaaaacaaaaaaaacaccbbbcacccacbcbbabacaabbbbbbaccbbbcbcbbcabcaccbbbaacabbbcbababbbabcabaaabacacbaaaccacbbcccbababcbabbccbabccbbaaababbacabccbabacccbcbccabbabcbbacbaacaaacbbcbabcaccaaacabaaaacbaabbacacbaabbaccabacbabbbbaabccbccbbaccccccbccccbcbabccaccbcabcbcaacacbcbcbabbaccaccabbbbabcbcbcbccccababacccccbbbacccbbbbaabacabbbabaacbcbabbbcaacabbbcccbacccaaacbcabaabcbbbcaababaabbbbbcccaaaacaaaaacaaccaccbcccccababcbaaccbaaaabcaacaacaabbaccaabbbacaabbcbaacabcaacbaccbbcbacabccaacaacacbcacbcbcbcabcaacacacaacabbababaacacbccaaacacabbcbbbbcbabbbcbcccaaabacbcaabbcccbaccaaaacabbbbabbcaabcbcbbaaccaacabccccbbbbaacaacbaaacabcccbcaacacbcacbcbacaaacaaaccaaccbccabaabccacccabbccbbcacbabcaccaabcbabbbcabbaccabaccccbbacbbccaccccccabcababacbbcacbcbcbaaaaacbbaaaaaabcacccbccbcbccabaacbaaabcacaaabbaabacaaacbabcbaaaacbbcbbacabacbcccabaababcacccabbcbccccbaacbabbccacbbaaababcbcbbaaccbcbabcaaccaaaacbbabaccbcaccbaacbabcabacccabcaabcaababbabacabbbacaccaccbaaacaccbbabcbaacabcbaaaccababaaabccbcbbbcbcbabcaccbacbaacbbbabbcbcccacbbcabccaacbcbcaaabcbcbbacaacbacaacccbbcbcccaabcacacbbccccaccaabacaaabbaaabcacbabaabaccacbacaacaaaabababbcbaccbcaccbabaaccabaaccbcaccaacacccbacacbbbcacaaaabacbcaaacccabaabbbcaccaaccbbbacccbaccabccbbbbaaabcbabbcbaccbacaacacbcbbabbcaaaaccbcbbaaccbcbcaacaabcacbcccccbcabccaabaaabcbcacbbacaaacaabbbcbaaaacbbbaccaccbbbaaaabbccabbcbacbbcaabcbcaccbbcaaccacbabbcababcaacbcabbbabbaaccbccbcccccccacbbcbbcbcaacabacbaacaacbcbaccabaabbabbbaacbbcbcccccacbccbbabbbbccbcacabccbabcbabababbbabacbbcbaaaacababaaacacbcaaccbacaabbabcbcabbaccbbbbccaaacbcbabcbbbacaaaaacbaabaccaaaccabbcabaccbaaaccbccccbbacbcccbbbacabcbbaaacaabbccabcbbccacabbccbbcacbbcbccaaabacbabbbbacaacbcbccccbacaaababccbaacaabacacbccacaaccccacbbacbcbcaccbabbcbcbcacbbcacacacacabcccbacacccabaaacaccabccabaaccaaacaaacbccabacbbccbbbabbaabbccbbcbabcbacbaccbbaaaaccacaacababccabbbbcccabcbbaacbcacaccccbaaacbacabaccbacaabbacccbabbacccaabcacbbbbaacbccbbcccbcbabcacbbbbcccbcaaabcbcaacaacbcaaacabaaababccbaaaababacaccbaabbbabaacbaaabcaaaacbabbcbaccccccabbbcaaababcababacacccbabcacbbcccbcaaccbaaaacaaccccbccacbcccaaabccabbcaabacbcacbcabbbaaaacccccbcaccaaabbcccaccbbbbbacabacaaabbabbababbbcaacaccbcaacbbcbbbbcaacccbbcbacabbbaacccaababcbbcabcabbacbaabbaabacbbbabccbccccaabaaccacbbabababacccababaaaaaacaacaaccaaabcaabaabbcbaaaabbbababaacbcaaabaacabbacbbbcabbcbcccbcaaccbcbcbcaccbaaacbacbbbbabaaabaccaabbcccbbaabcbcbaaabbbcbaccbbcbcccbaacacbabcbabacabcccabcababbcccbbcbaaacccaacabaacbabbaaaaaccabbcccbaabcacbccbbaaaabccabbbabccabcbbaaaccaaacaccbacbbaabcabacabcbbabaacbacccbbabbaaabcaaaaacbabbbaaaaacbaacbacbababcbbcbabaccbaabacacbbbcacaaaaacacabbaaacbacabbcccbbbaccabaacbaccacbababcbaccccbabacabbabcccacaaccabcbccbcccbcbcaaaacbbccbaaaaabbbcacababccccbacbcbacbbcbbbaacbbcaaacbbabaccaacaacaacbbacbcccabaaccbcbaacbcbbabacaaaccabaaacbcccbbabcbbcabbabbcbbcbaccbbbcbaccbacaaabaabccbcccaaccbaabccaccccbacaacabababcaaabaabcacbbbcbbccbbacbacbcacbacaacbbccaccaababccbcbaaccbccaaabcabaabbaababbbaaccacccabccbbabbbaacababaaccbbabbcbbccaccacbcbaacbaaccbbbcbcacaaacccbcbccbccccbccbcbcbcabcaccbaacbacacacbabcaaabbbcccaaacbcaacbccacacccbbbbaccabcccaaccabbbacaacabbcbaaccacabcacbbababbcaccbcbcaccabacbbabbbabbcaccbbbabacaabbabbcbacabacbcabaabcbbcbbacbbccbcbabbcbbcaaabcabbcaacbcacbccacaacbccbccccabbcaabaaacbbacabbaacabacbabcbbcccaaaacbabbcaccaaacaaabababaaaacacccabccacacccccccabbbaabbbcabbcbcacbacbabcccbaaabcbbabccccbbcbbcbabaabcccbcabcacbcaccbbcbbacaabbbcaababacaccaabaaccccbbcacbbcbabbccaaacacbbcaccbacbbcbaacbcaaacbbabbbabcccacabcaaabccbacaacaaacabbccacaaccccbccacabccccbbcaaccbcbacacccbcabbbcaaacaabacbacbabcbcaacbccbabaaccaaaacccabbcbbbbacaacbbcabbcaaacbbcabbbbcaccacbcbbccacacbbbccbbaacbaaabaacabbbcbabaaaacbccaaababcaababccabcabaacbcaaaccabaabbbabccabcbabaccbabbbbacacaacbbaccabcbbaaaabaaabbbaaaabbaccaaabaaacbbbcaabbbacbbbcccaccabaacbcbbccccabcabbaacccacacaaccabaacbbababbcaaccbbbbbacaaacbbabbbbaabccbbcbaccbbabcccbbaaacacbbcccabbabbaaaacbcaabccabcacbcabcacaabcababbbbabbacbcbabacaabbaabcbcabbcbbcbbbaabbabaaacabcbcaaccbabbbaabbbbcaacccbbabbaabbaaacbabcacabbcbccaccbaaaccbbaabcacacbcccaabccccacccbbbccbbabbbbcbaccbabcaaacaabcacacbcacbbbbcccabbccbbcabcbbabcbcbccabbaabaacbcaacabcbacabaaabcbcabacaacbbcacbbbcacbacccbacbcbbbccbabbaacbaccaccbaccaccaaacbccccccaaabaccabccabacabcacabbcacaabbbbaacbbaaababaaacaaaaaababbbcbabcaccbaabaaaaabacbabbabbbccbbacacaccbaabaccbbbbcbcaccaabcacaabbacbaaaababcabbbbcbbabacbacbbabaccbcbbbacacbaacbaacbbbbbbabcacbcacbaccaaacabaccacccaaacbcbbcccbbcababacaabbabbbcacabbaabcbcbcbbacababbcccbabcbbccaccccccbbabcbabcbbbbaaaabcccaacbbcabbacbcabcbbaaacccabcabbaccbcbcacaccccccabacaccacabcccabbababacbbbbccbccbacbaacbaccbaaabbcacbccacaccaccaabbaacbbabbccaabbcbbbbacbcbbbcbaaabaacbbcaccbabaccccabacbcacccbcbaabbbbabcbcbbcccccaaabaacbbbbccbcaabcccbabbcbcccbcbaaaaacbccbabcbcabbbccabaccaababcbcaabacaccbbabcbacbbbcaabaccabcccacaaaacaababcccacbbbabbaaacbcccbcbcbbbccbaacbabbcbaaabcbbcaaaabbaccbacbbcbbabcccccbbbaaacbbbabbccabacaccacbacacbbacabaaaabcbbbcaaabcbbbaabacccaababbaabcabbaabbcaabbababbabbcaaabbaabbbbbababcbabbabbaacbbabababbabccaabbcbbbcaaacaccccbabbbccbcbbccbaaaccbabbccaaaacacabcaaaabcbcbbcacbacccaaaabcaacbaaaabbcaccbcbacbabccccbcabcbacacbbbcbbaccacbbcbacabbcaabbbabaccacaacccbbccbbabbcbcacbcccccccbacbbaaabcabbbcacccbbabababcccaabcaaaacbbbbcbccbbcaacabccbbccabacaccabaaacccabbbbabcaccbbcaacbbccaaabcbacbaacbabacbacacabaabbcbcccbaaacacccabcbbbcabcaabcccbacccbbbbcabbbbaccbbbcacbabcbabcabbcaacabacbbbbccbbbabacababaaaaccaacabcacaaabaccacaabbcbabbaaccaaabbbccbbccacaccaaaccbbcbbbabbbbaaabaccbacccbbccaacbbcacabcbcababbcabaaabcbbbababbcbaacbccabcbcbbbbacbcccbcabaabbccbbbcaaaccbcccaacccbabbaaaaabcaabaaabbbcaaaacbacaccbcbccaabaaaaabbacbbccabaaaaccaababcbbabababbbabbbcbcccbcbbabcacbcaccacbabcbabcaaccbccccbbabacbbbacacaaaccaacacbcccbacbbcbccccbbcacacbbabbbccbcaabbabacbabcacacacacbacabaabbacbbabcaccaabcacccbaaacbcaaaaabbaacbcbbabccacbacbabbbcabacacabcbbbbacbcabcaccaaaaacbbbacbbacaacaaabaabcacbbaabccccbacaaabcbacbbccabbabbabbcccbcabbbcbccbbbaacbacabaccbacaccbbbabccbabcbbbbbbbacccacbccacaabcaaccbbcaacbcacabbccbbbbcacccaaaaabbbccbbbbaaaacaccabcbcbcaccaccbbcbbbbbbabcbccaabcaccbbbcbccaccabcaccaabccaaacbbbbbbbcabcccbcbcaabbacbbcbcbbbccabcccaabbbcbcbccbbcabbaaccaabacbabcbbababbbcaacccaacaaabababaaabbcbbcacbaacbacbcccabbbaababcccbabacaababcabaabbacbaaccbccabcaaaabbcbaaababccabcaaabbbcbcbbcaccbbcbaabcaccabbaacabcaccbcaaccabbabaccbbbcaacbccccbcccccbacabccaabcacbbabcaaabacbbacbacbababcabacbcccabbbbbaacccbbcabcbcabbbcbabcbaaccabccaabbacacccacccaaabccabcccccccabbbcbbbbaaaabacccaaccabbaccbaabcbcbbbabcccaccaaabcbccabcbbbcbcbaabaabccbabccccbaabbcaacbacbabccbbbbcabbbaabbacbacaabcbaabacccabcabbaabcaaabbacbaccbbbbbabcccbbaaaccbcacbaaabacbcccababbbbbbaabbacabcbcbbcbacbbcccbccabbaaccacbccaabaaaaccbcccbaccbaabbcbbabbabcccacbbbbbbaabcbbcbbacbacaacacabaaaabacbcabbabcacabccbbabcbcbaabbabcbcabbcacaaabbacaccabaabcabcccabccacacccbacccabbbbcaababbbcbccccbabaacaacacacbcaabbcaabbcbcbabcbccaaaccbabcbaccaccbccbccbbccacbbccaabccbbbcaacaaccaacbcbababababcabbcababaabbbcbaabbbcbccacbcbcabcaaacbbcacbccbccabccbbbbacbaabcabbccbaacbbbcabccbbacabaccbabccabbbcbaaccbccbbccabcbbaacbcbbabbbbccbcbbbbacbacaaabcbbabcaccacbbaaacaacabccbaacaababbacabaaacbcbcaaccbbcacbabcbcbaaaaababcbccabccbacbcccabcbbbbacbabcbccaabcaabbcaababbbabbccaacbcabacaaacacabcabcabccabccaacacabbbabbcccbcabaacaaaaabbbbcabbbbbbcccbcaaabcbbbaccbbbbbacababaabbbabcbcacabcbacbabccababccccacaacbbbccbcabaababcaaacbbacbaccabbacabababcacaacbcbaacaacbbabcbabaacacbacaabcabbcbbabcbabbccbcabbacabbbcccaacaacaccbbaccbcaaacabbbccbbcaccabbacbcbaaabbbbbcbaaccbbbbaaccaabcbaaccbacbbbcbcccabcbbbbcabcabaccbaacccbbbbacaababbccaccaccacacacabaabbbbacbcccccbbcacacaccbcababbccaaabcababaaaababcbacabbbaababcabbbbcbcabcacacccaaacaccababbbccabbbabcabacbbbabbabcccccbbcccbcbaaaccccaabcaccaccaacbaaabbcaacbbbbbbcbabcabbbcbcaacaacbbbbcccbbaaccccbbabccababaaabaabbbabaacaacabbbbbccbcbbbccaabcabcbccbabbbcaacccabbcccacbbbbccccbaabbbabcccbabbbcaacbacabbccbabbccbbaabcabccbcaacaabbaaccabcccccccbcbccbaaacabcaabaacccabaaaababaaacbbcbcacbbabccccbaacbbbbbabbaccccaababbbbbbcccacccbbcbaacccaabbabbbacabbcacaaabababaaacabcaabcacccbabacbcbcccbbbcabbbacabbcbbabababcccabbcccababbccaacabbaccbacaccbabcacacbacbbcbaaabcaacaacbbbcbcabbcbcccbaacaaccbaaacacbcbabbaccabbbababbcccaacaacccabbbaccbcaabcbbcbcccbaacbaacbacccababacabaacbbabacbacacbcaacbbcbbcacbaacacababbaaacacccbcabcbaccbaacabaabcabacaaabacbbbbbbbaccabbbabcabacccbaabaaaaaabbbcccaaccabbbcbccbbcbabcbabcaccacabbacbcaabbcaaaacabbacbbacbbabaacccabaabbcbccbababcbaacbaabaaccaccabacbaaacabbbacacaacabccbcabababbaabcaaabaacbbaaaaccbcbabaabbbabccbaacccbcbbcacccbbbbbaabccabbcbabbbbcbacbabbcbcabcbcacabababbbaccbccbccbcbcaacaaccaaabccaaaaabaabcbcaabbbaccbcccacacacbcacbaacabbcbcabbabaaabbabaaabbababcacccbcbccbcccccbaaccbcabcbcabcbabbbccbabbabacbbacccacbbbcabbaacbcbabcabacababbcabaacbbcabbccaaababbbbaccacabbabbaccabbbbbaaabaababcbcccacbaabaabbababcbbbcaaaaacabaacabcaaababaacaccbbbcbbaaccccbcbaacacaaaaccccbcbaabbabaacbaabcabacaaabbbcabccbbabccbabbbabbaabbbbcbaabbaabbabcaacbbccbbbbbbacacbbbabcccacaaabcbabaabacbabcacacacabacaacbcabcabccaaabbccaababbbcbbbbabcccbcabbbcbcccaaaabcbbbacbacccbcaaacacbbbcacbaaaacbacccbaaaaacbacaaababcbcbcacbbcbcbabbccbcbcabcbbbaaccbcccacbacbcccbcccabcaabbbcbabaabcbcbabaabcacaababbacccaabbcacbbbaaaaaaaccbccaccabbccbaabcccaacaccababbcbbbccabbcbcbaaabcaabacaccbabcbcbbbbcabcabbccbbabaabaaaabbabcccbcbacccbcaaabbbaccbcabaccacbbbccaacbcacabaabbacaaabcabbcbcabcabbbbcbbabbbaccbbabcabcaaccbbbbbaaacccbaccaabaaacaabaaaaaaabcbbccbabccacacbaaacbbababcbbaabacaccaccbbacccbaccbcacccabbbcccbabacbabcabbabbaaccccbccaccacbcacaaacbabacaaabaacabaacbccbbcaaabaccbaccbccacaaababccbbbbbaacaccbcbbbcaabaabbcccbaacbbbcbbbabbbaabbbbacbbcaaccaaacbcabcbbabccbbccaabacabcbbbbbcabcaccaaacacbccaccacacbacbacbcacccbcbabacacaababbaacabcbaccbcabcbaabccaaabbccacabbacaaabbbcaabcabaaaaaaabbaaccaabaccbbbbcabbaaccaaccbbaccbccabcacbbacbaabcaabaabbbcccacaacabbccccbbcccbacacbcabcaaacbcbcbbbbccbcbbabaaaccbcbacbacaaacccbbaccabbcabccbacbcaabccabbbabccbaaacacacaacacbccabacaacbcbcacaabaaaabccbbbaaccbcbaaccccbaabbcbbbaabcaaacccccaabaaaccbaabbcbcaaccbcaaaabbccacccbabbcbabaabcaacabcbccababbccccccbcacaacbbaaabcabaabaacbabcbaccbabaaaaaabbcbbcacbbbbcabaccbaccaccccacabbabaabcbbabbabbabccccbcabcabacbbabaacabaababbabbbabacaaaacbbabbccbacbcbabaabcaabbccccbacbabcbcbabbaacbbbcabaccbbbcaacccbbaacbacaacbcbabcccbabbaabbaccbbaaaabbacaacbaccabaabcbabcaaacacccbaabcbbbacaaccacacaacbbaabbabccccaaccabaccbbbbbaaabbbababbaaabbcbabcccccbbbabaabcbbcababbbcccbaabaaccbbbacacbababccaaaacabaaacbbcacabbbcaabcbccbabaabbababcccbbbbcccbcbbaabbcbbabaaacacaccaabbcbacbbbaacbabbccbcabacacaaaaacaaccbbaaacabaabbbbaccbcabacacccccbaaacaaacacbbcabbcbbaaccacaccbbbcabcbcbbccbbbbbacacbabcccccbcabaccbaabbaccbcccbbbccaabcbacccacbaaabcbbacbaabcacacbaaacaccaaaccbbacbcbabbbbbbabcbccabbbaaabccbbbcaacbbbcaaccbbbaacacaaaaccabcaaabaababcbbcababababbaabbbaacbabcaccbbbcabaabcbabbcbacccbaacaaaababcaabbaabbbcaacbcaacbbccbcbbaababacbcabbccbaaccabbacbaabaabcacabbbbcaaacbaacbbabcbaaacbbcabaacccbcbbcbaaacbaaabbcbbcbbcacbbcbabaaaccaaababbcbabbbbcbccacaabbbcabbbbcccbbacabcaabcccbbccccccabbaccababacbbabbbbacbcabababbbbbcabccbbbbbaaaabaacbcabbbaabccbbccbbbbcabccccbcbccbacacabbcaabbabccbbacaaaccbbcbcccbacbcbaabbbcbcbbacbabaccccbccbcabbcccaaacaabbcbabbabaabcbccaabbcbabacaacacbabacbacccbabbaaacacbbbccaacacbbacabcacbbbbcabcabbcbcbcaccbbaaacaabbbbabcbcabcacabcacccabcbacbaabbabaaabbaabbcabacacacbacbccacbcbaacaaccacabbbbcbabbaccbccaaaabbbccacbaacabccabababcccaaacbbccaaacbcbabbbccbaccaaabaaaabccbaaacccabbccbbcabbaacbcccbcbaaabbabcabbabbabcaccbaacbaccacaabacaaacabbbbccacbbacbacaaaacacbcabcbbbaaccbccbcbcccabccaaacacabcabaabcabbcbaacbacccccbbaabcabccccbbbbacbaababcbbcccaacabccbbabcacbbacbcccccccabbaaccaccbabaccaaaacbbababcacbbccacbcacbbbcbbcacccaabcbccbcaabbababbbcccacccaaaccabccabcccaabacaaaccbccaabaaccaacbbbcccacabccacbacaaccbcbbbcababaaaabccbbabacaabbcbbacbacbcccbcccabcacabbabbbcbababbccbcbcaabaacbcacacbcaabcbabacaabacaaaccabbbbccbacbcabccbcccbaaccbaabcabacbcacbcbacabbcccabbcacaacbaaabaabaabcbcccccbccbbcabcbcbcccbbbbccabaacbcbabbaacaacbccabaaaacaabbbacacaccabccaabbbbacbabcbcaabacccacbcbbbacababccbbccacbabaacaaaabccccbaccabacacbbbccbacabcabcbcabcbcbcccbacacbbabbbacacaababacbcaacabcbabbaabcccbaabbbccccbcbacaaccbbbcabcbcabcaacbcccbaaabbacacaaacccbabacabccabacbbacaabbabaaacbcbabcaabaccacbcbabcabbbbcbcacbbbcccbcbbcaccaabaccbbabbbcbaababcbaabbabbaabbbcbaccccabbaccbbcbabababbcbbbcbbbbcccbbcbbaccbbcabaacbabacacbbaacaaccbbbabcaababcabcbbabaaabccbccbaabcbccaccabacbcaaaccbaaacccbccacbcaabcacaaaccbcaaaacaabacaaabbccbbccbbacbaacaabbcaccacbaaababcbaabcbcaabaabaabbcbccbccaaaaaabccccacccabcbbaccabbcaaccacbbcbababcabbbaccabcbabacbcbcbccbabbcbcbaaababaaaabcbacacccabcbcacaaababbbaccaabbcaabcbcaacabaaacabbbbbbcaabbaacabcaabaccacbbbabbcccbaaabacbabacaaaaacabcaaabbbcbacbbbbaabccaaabbaccbaaabaccaababaacbabcabbcaabcaccacaababaabbbaabccabcaaacccabbcbbcbbbaabcacbabcaaccbcaababacabcabcccbbcabcaccaabacbcaaabbcbbaaacbabacaacbcccabbcbaaabbcbacabcbcabaacacbbacccabbcaabababccabcccacbbcccbcaabcabacaaaabbaaabcababbcccccbaacbbcbaccaacbbababbbacccabbccccbbbbacaabaaabcccccbcaaaabbbabccbaaacbcccacaccabbccbabcabacbcaabbbbccaabcacbcbcabbbbacababcbacbcccbcbacaaacbabbabcaaacbaacacabbcaacccabbaaaccacbcbbabaacbcbbbabcbbbaaccabbcbaaccaaaacbbcbcbbacaacbcccbccbacacaaaacaaaccabccbaabcabacaacaacccabbcbbcbcccacbbbcabaabcbaccaabaaabbacbbbbcbcacbbcccccabccabbccbbababbbccbbababbbbcbababbcbccbbaccabaabacabcaaacbaacbaaaacaaccbcbcabbaaaabcaccbababcbacaabaabcbbabccabcccccaaabccbacccbbaacccacbbbbbcbcbababaaccbbccaccaccbbbbcbacbabbcabcbaaacbacaacccbabcbbabccababbabbaacbcaaaccbcbccacaccbcbaabcbaabcabcbbabaccccabbcababcacbbbbcbcbbbcacccbcccabcbacccbcacbbbbabcbaccacbbbccbaccccbbaccabcaaaccabaabccbbbaaaaaacbabccacbaaccbcaabcbcccaccbabbabacacccccccabbcaabcbacbabacaabcbbbabaccaaacabbbacabbbcbaccbacbbbbcaaacabbbbaaacabbbbbcabccbbacbbcbbbaacbbcaacccbabbcabaaccaabbacacbcbcaacbcabcbcccbcaabcabcaabbabacccaccaaaaaababcbaaccccbcbcbabcaabcabbcbacabaccacbbbbcbcbcbccaccaacbabbcbabaccaaacbcccabbaaabaccbbcbcababbacabbcbcbaabbaaacabacacacccaccabbccacabaccaccbaabbacbbacaaccccbbcbbacbccbbbbaccbbabbbcbbabbbbbbcbbabcbbaccbbabbcbcbbacbabbcacbabcbbccbbcacccbcacbcbbaaabaabacbcabaacabbbaacacccabcbabbabbbccabccaaaaabbacbcaaaccbaabcaacacacabccaccacbbcacaaaababbbacaaaccbbbcabccaabccbccaaccaccacacbaacccbbccbacacacbcccaccbcabbcbccbbbcbcabccaaabbccacbaacbcabbbaabbaababbcbaabacbacbbacbccbbaabbaaabbbbcbaacaccbbcbaabbabacaabbacaccbcababbaacbabaacccccacccbcccabbbccbcbcbcaabaccbcacaacbcbcabbbbbaaabbaaabaaabcbbbbbbbacccbcbbbcabcababccaabbbccababcccaacaabcbacacaacacabbbaaaccabaaabcbcbcaacaabaccbcbabbbcacbbcbacbbbacaccaababcbcacababcccabcacbaccbbcaccacbcbabbcccabaabcbcccbabcaaacbcacbacacaaaacccaaabccbbcaccaaabbbcbcabcbaabccaabcbacbbbaccbaaabbacbbbcbabccaacaccccbbcacbbcaacabbccbccbbcbcacacabcbbccaaababcccabbccbcbaaaababacbcbbabcaabcbcabbbbbbaabbaaabbcbcccbcacacaabbbbabaaabaaacbcbabbcbbaccaaccabcabbbccaabbabcbcabccacacbbaacccababccbbcaacababcccaccacbcbbbaabbabbbaccacabccabccaaabbccccccbabbbabbcacbbcccaccccccabacbbcbbbbaccbbaccbcabbcababacaacbbbccbcaccbacccabcabccbacbabbcaabccacbbbcaccbbbbaccbcbccbbabbcaacacaabcaabccbbaabbbabaacabccbcbbcbcabccbaabbbcabbcaaccaccaccacabcbaabccbcabbbaaacccbacaabcbcabbcaaccbbccccaabacbaaaacabacccbbacbaaccccabcbbcaaaabccaccbbacbbbcbaaacbcbacbabbbcaccacabbbcccbcbcbabbccbaccbaaaabacbabbcccbcbbbbbbabacacbabacccaabbcccacbbccacccbccbbbcababababcabcccacbbacacbbcbabaabcabcbccaaaabacaacbbabaacbcaacbbaccbbbcabccbacbcaabcbaacaacacabccbbcaccbbcabccbcabcaccbbaaaacaaababbbccacaaaaabcaaaacbaaccaccacbaaacaaacacbbacbabaacabcabbcabbaababcbccabbbcbbacbcbabbbbbcbbabbaacabbbcacccaccaabccbccbaacbcabbbbabbaacaaccbabacccbcacbcbbaaacacabbaccbcbccbacbabcbccbbcccbbacacbcabaabcbbaacbccaaaacacbbabcbabcaaccaaaaabacaacacbcbccbcbcacccabcccccbacbbcbabbbbaacacbbaaaabaaacccbbbcbcbccacbcccbbaaacabbbbccbcaaccaccbbaaabbbbccaccbbbcbcbcbbccacbacbbcacacaaaaacaccaaabcabaaaaabccaacbcacbbacbcbabcabcabcacbbaabacbbbbaccbabacbcbaacccbbbcbabbbccbacacccabbcbabbbcababaccbccbbbbccaaaaccbabacacbcccbbcccbcabcbbbacbbcbcbbcbacbbbccbbaaacbbabcacbaaabbcaccabbbbabcbaababcaccacacaacccbbbcbccbcabbbcccbcaabccabcacabbbcaaababaaaabbbccabbcbbabacbbaacbcccabcbaaccbbccaaaccabcacbbcccbabaaabbacbbbccababbacbabaaccabbacabacacbabcccacacbcccacaabcbccbcccbcabcbbcabbabbbaccacaaabbabaacaabacabbabbbcccbabbbcbacbabbbbbacbbbabcbbaacccaabbbcbacaacbabaccabcbbacccbaccaaacacbccbcaccbabbcaaccccbabbacaccbaacccabaccccbcbabbaacaacaccabbbccbccbccaacacbaabbababbbbcaabcccccbccbcbbaccabbbaccbbaababbbabbccbbbcacbbbbabbaabaabbbbacbaabcccacccabbbcbbbbabaababcbaaccbcbcccacaabcbbcbacbbaaabbabababcaacacbbccbbabacacbacbbbbcababcababbbccccccacaaabbabacaabcacbaccabcbbaaccaacbcaababbccbaaccacbaccbaaacabbbbccbacabacaccbaaacaccbacaaccccbccbcaacabbbacbbabbaacaccccaabbcacbccbcbcaccacabbcbcaacbbbaaaccbbabccaabcccbbaccabaccacabccbaabbbbaabacccacbabbcbaabccbabcabbabacbaabaacbbaaaccabacaaabcbbbbcbaaccaabbcccaaacbbaabccbbbaabcbbbccabbaacaabaabcbcccacbcaabababaabcbcbbcaaacbbaaaabcabaaaccaaacbbbabcabbabbccacacbccccccbccacaacaabcaabacbcaacacabccbbcccbacbcaacacacbbbbbaccbbcbbacabacabcbcacaaacbbcabbbcabbacaacaccabbaabbbcbaaaccbbaababcbababbaabbccaaabccabcbccabacbacccbcbbbabcaaababbbbcababbbacacbbabaaacbccaacacacbcccaabccccaaaaaabcbbbcbaaaaaacbbaaaacabacaabbaccbbacbbccabcabbbbbacacbabaccbbaccaaaaccbbacbccbbacbabcccbacbbbaaaaccbaabbcacacabababacabaacbaaaabccbabbccbccccababcabcaaabccbaaacbbcbcacccabbcccaaccbacabcabbcaabcbaacabcbbabbaccabcbbaaabbababcaabbbcaabcabbcbacbbbbcacbabbccacabababacacabccabcbaccbaabbcacaccbcbabbbaaaacccaabcaaacbbabccbccabcbabbacccccababacccaacbcbbabbaaaaacabcbaabaacbaaaababcbaccccbccccbbccccacbaaccaccccbcbcccaabacbcacaaccabaccbbbcccababbcccbcabcbbcccacbbbcaaaacbacabaababacbcbbbaccaccaaacaaabcabcccabbccababccbaacaabaabcaacacabcabbaccbcaacaccaabaaccbbaaaccabbaacacaccaccbbabccccabaaccacbcacccbcaaaaabacccaaaccabccbbaacacbbcbbcabaaccbbbcabacabcabcbbcccccbaaacabbccccababbccbbcbbbbbbccacbcabacacabbccbccacaabcabbabccaccabcbabaabbabcbcabcbccacaccbacbbbaccababbabaccbabccccbaacbbcabbbcccbbcbbbabcbcbacccabbbcbbaabaaaaccaabaaaaccaaaacabcbcbbbcbbabcacbacaabccbccbabcbcbcbbcbacabccccaaabacabbbbccacbccbcacbcaabababbcbbbbcbaacbcbbcbacbcacbcccbbaccbabbacbcccaaabacccccbaacccbccabcacbccbbcababcaaaacaaacbbbbaacbcbbabbaaabbbaaaccaaccababccaacbbaccaacabaaabaaaaaccaabbcbcbbbabbccaacabcccaabbbcbbababcbacbcaaaabcabbacbcccbbabaabcbbbcaacbccaabbbbaaabcaccbbacbccbbccbbababaababacbaccaaabcccaabacbaacbacbcabacacabcbcbcaaacabbabbcabcbaacbabcaacacacbacabbcbacbababcaccabaabaabbcbacacccbaabbaabcaaccbbbbcbcccacabcbacccabaabbccbcbabcaabccacaabaabaaaabaccccbbbababbcaabbcaccccabcabcbaaababbaccbbbbababcbaaabcbcbccccbaaaabbabbbcaabaacbccccbaacbccaacccbbcbcbbbcaabccbbbbacccbaaaccbaacabbcbacaaacaccaaccabaacaacacabbaabbcbccbaabbbbbbccbbcabcacacaaabacabcabcaaaabcccbcabaabccabbabccaacbbabbbcaabbaacbcabbbccbbbabcaccbcaabcaacabacccbbabaccabcbbbabbaabcbbaaccabbcccbacabbabcccbacbbcbbbcaccabccabcbabbccbbccaababbacacbbbbabbccaacaabccbaaaabcaaacaccaccbbbcbcbbbcabbcbbabbcacabbabbacacccbbcbbbbaaababacabbcabcacbacaacbbcbabcbabbbcbabcacbabbaacacbbccbcbccaabbaabaccbabacccbacabacacabccaabbcabcbbcccaababbaabbabccbbabacaaaacaaabccbbbcabcbaabaccbaccbccabaacaacacbcccccaaccbacaabacacccacbabcaccbbbbbccbcbbcccbbccccaaacccbbbbaaccbbaacacbaabcbbccccbabbcaaacacbabaccabbbaabcabcabccbbccbbbbbbbcbaacaabaacbbabaabaaacacaababbbcaaacacacabcbbabcbaaaaccabcccbaabcabaabccbcbbbabababbccabaaaaccbbcbcacbacbcabaabbbcbcbcbcbabbabcabcacaababbacabbbacbacbcacccbabcbbaabcbbbabcaccbcbaabcaccccbbaabbbcabaabcbbbccaacaccbccbcccbcaababcbbcaaabbbacccabcbacaacaaccbaabbccaaaacbbbacbaabbcccabaabaabbacababbbbbbbccabcbbaaaabaccbbbbbabcabccacabaaccbcbaabaaabbacbbcccaccccbbccbacacbbbcbbcccbbbaaccbcbbbbbbacbacbbacbbcccaccbbbbabbbacccbbaabbacbacabbbcaaccbaacabcbbbabbbbcabccbcaabaacabccbcbbbbababbcbaccbabbbbbbacccbccabccbabccbaccccbbbcbbccbcaabcbaaabcacbcabaccabcccbbcabbbacbabbbcaccaaabacccaabbabbacccbbbabcbaacababaabaacbcbbaccacaaabbcbbcabaabcbaaaabbbbcbbcbcccaaabcbbbcaabcacccbabaacacbcababababacbcbcaaaaacccabaacabbcbbcaccbaccbaacaccacaaccaabaacaccacaabbababbcbacbccbabcaaccaacacbaaaacbaabaabcbccccabcbbcbbbccabccabccabaaaacaccbcabbcbbbccccccccaaccaabccbbcbbaaaaccaabcaacbaabacbbcabaabbbaacbbaacbcccbabcbcbacbbcaaacaaaabccaaaacabcbabcbaacacacbbacaacbbbabcbcbbcaccbcccbaabbcacabccaabcaccbabccaaabbacbbccccacbcabbcbccccbbbbbaabaacacacbcaaacacabcbaccaaaabcbcbbaccbbacccbbbcaaaccaabbaacbaccaacbbcbbbccbaaabaaccbabaaacacbbacbaabcbacacaccbcaaccabbcbbcaaaaaccbaccaccaaacaaccabacccabbbabacbaabcaaacabaabcbcbcccccabbbaababacbcabbaaccbacaaacacacacbaabcabccccabbccbcbccbcbcccbcbbccbcbcabbabbcaaacbccbabccabccabaccaabcbabbccbcccbbbbbbcacbbbabcaaacaabacabcbbbcbccabacabcbbcccacabcacccbbbaabcacbacbbbaccbabccaaccaaaaacacbaccccbabacaccbbacabaabacbbabcabccbacabaccbaacbaacabbccbacaabaccbcccacbcacaabaabcccabbaaacacbcccacaaccbbbbccbabcaaaaacbacccbabacabcaccaccacbaabbcbabcaaacacacacbbabacbbbcbbcccccbacbaccccbcabcacaaaccbabaacabacbbaabbbcaabcabcacccaccaaccbbcaabacbbacbabbcbccbbbaacaaacbacabaccccbcacbbbbaaccbaabccbbcbbabaabaaacbbacbccbbacacaacccccccaaccacabacabaccccbcccbbaacbacbbabbaaaccccacbbacacabbbcbaabcaacabbbbbcaabbbbbcacaccbbbccaacacaacbbcbbacbbacaabbccaabbbcaacaabbacaccacccbcaccbabaabbcabbcbababacaaaaabaaccacbaaacbabbcccaacaccabbacccbaccabcaccaabbbbbcbccbcbbababcaacbbaaccccaababccccbabcacabcaaababbaacaacabbcbbcababaacaaacbbbccacbcaaaccccccaabcaaabcbcbcbabbccababcbccabaaabbabaaaabcabbbbaabbbbbcccbbacabbccacaaaaaabbcbcaabcabbbbccbccccbccbcccaabbcabcacbbabacaababaccccaabcbbccacbcabbaaccaaabbacbcbaaaacacbabbbacbcabbcaababbaacbacabbaaaaacabccbcbaaabaabaaabbccabcabbccbbaccbacabbbaabbbaacbbcabbcaccabccacabbcbbcbacaacbabccbaaccbcbcacccbbccccccbbaccabacbbbbcbbbcbaacccacccaaacbcacbabacaacababcacbbcbbbcacccbaaabbcbabccbbccacbbccbaaacbbbbbcbbbaaccabbcccccabbacabbacbcabcbcccabcccbccbaacacbbacababccbccbaaaaccbbabacbcbbabbabaabbbcbcbccbaabbbcccccbbccabacbcccabccaabccbaccbbcccccbbbbbaabacbcabcacbcccacabcbaccbcbaaabccacbcbacccacaaabccaccabaabbccccbbcaaaacaccccabbabaabbcacaccbbaacaaccbcbccbccbcababbcabbabbbacbaaabbababbccaabbababaaaccbcbcacbbcbcaabbaccbbabacccabaaaabacacccbbcaaccbbbacbabcccabbcbcaccbbcbcbccbabacaaabaaaabaaaabcacbbcabccbcccaccabbbbccaaaabcaababcaccbcabccbaabbccacccccbaababcbababbbcbbccbbcbabaccccbacacacbccbccabaabacabcacbbcbaaacccbcabcbcaacbbcabaabbbcbacaacbabbbaaccacbababccbaccccabbcacbcbcacbcbcbbcabbaaacabacaaaabaaaabacbbccccccabbaccccbabcaccacabacaaabbccacabbcbaacbcbaacccabcacacbcabcbcbbcabcbccabcaaabcaccbbaccacabbabaccaacaccaacbbcbabacccacacaabbbaccccabcaacbbbcbcabcbbaccbcbacacabcbaaababbbbababbaabacabccacccbcaacabacaccaccacbbccbaacbbcbcabcacabaacabbabacacbbccaaabacbbcaccbbaaaabaaccccabbabacbcabbbcbabababaabccacbcbbcbbbcacaabbbacbccaccbcbbbaaccaaacbabcabbccbccaccbabbbcabbccacababcaacbcbbacabcaccccccaaacacbcccbcbacabbcaccbbbbbacaabbbcaabcbcabbbaacaabacacbbabaaabcbabcacabacbbccacaaaaccaccbababbbaacacababaaaaababaacbccabccccacaaababcababccaabaabbcbbabaccacabacbbbcccbbbbcccbaaabcbbaacbbaccbcbbccbcacaabaabbaababbbbcbacbacbbcccbbbcbacabcaabacbccacaaaaaccccabcbaaacbcacabbcaabbbbcbacaccbcbaccbcbcaacaaabbcccaacababacbbabcbccbabcbcbabbccbcbbccbbcabccbaaccbbabbabcbababccccccbbacbacbbabaaaaaabcabacbbcaccccbaacaaacbbcbcbbcaaabbcabcbcbbbbabaacbbcabacbaabaccacaaacbabbcaccbbcbcbaacbbccaccabbcabaabccbccaacaaaccccaacbabbbbbccababbacaabacaaccaacccbacabcbbcaabbaacbaaabacccaabccababcbbccaacccacbbacbbcbabaccbaababbbbaaccbbccbaabbcbcacbabaccbabacccbbababcbbbcaacacbbabbacabccbccaaabaabcccaaacacaabbcbcbbcacabaabcbaabbbbacaacaaabbcccbbbcacabcccbcbcaaabbcaaabcabcbababbcabcaabbacaacbbccbacaacccbccbbccaacccccaccacacabccccbbccbbbacaccbbaabaababbabbabccaabaaababaacaabbbabababbccaccbbacacbcacbcbaaaabacabbbbaacbcabaabcbcabcbcbccabbbccbcababbccacbbccabbabcbcaaccabbacbbbcabbcccabcaaaccabcaccaaaabcaacbabbcbabbbacaaabaabacbcaababbacaabbcbccaacacbcabccaaabbaabbcabbaaccccaaabcbbccbbacbbbbcbbcbaacacccacbbaccbcccacccbbbacabacaacbcbbacabcaccbcbccaacbcacbabbcbbbacbbbcbccaccbacabcaacaacaccccbbccaaacaccbaabacccaacccaaaaccbcaaaabccbacccacbbcbcaababccbbabababccccccbbccccabbbccabacbabbacbbccccbcacccbabccbbcbbaacbccaccbbcacbcbbcabaaabcbababacabbabbacbbbcaccabcacbcacabccbacacacbcbcacbbaaccccbcabbbcccaabccacbaccbbbabcccaabacaacbaaabcccccaabbbcabcaababcbaacbbacbcbbbaaaaccbbcaacabcbcbbbcbaacabccbaacabcbcabaacbabbaaaaabcabcbaccccaacbbbbabacccbcabbbbcccbaacbbccabaabbccbccbbcbacbcbaaacbcaccccbbbbcbcbbaacaacacaaacbbaaabbcbaaabcacbaabcabbabbabacacbaaabcbacbccacbccbcaabaaccbcacbcccbcabacacccaababccbaaaaccacbcbbccaabaabbaaabcbaccccbcbaccbabbbacbaaabbaccbaabbbacaaacaacaaababbabbccbcbcccccbbbaccbbaabaccabaaccacacccbcccaacbcaccbcbaacaccbbacaabbbabccbbbccccaabbaccabccaaacacbcbcaaccaacabbccbbaccababcbaccbcaacaccacabcbbccbabbabacacbbbccbbbcbbbbcbbbccbbabacbccbbbccbabacabcabbccbabbaccbacaabccbbcacbbbccabbccababbacbcabbababbbabcacbcbbbabaaabacaccccacacbbcabacbbbcaaabbabcaaccacccaaaaacbaaacccbbcaabacaacccabcbbbcacbbbcbaacccccabcbaaaccaaabbcbabaacbabcbaabbcbbabababccccbacccabccbabababaaacaabcbbacbcbaabacbbabababbaacacbbbaabcbaababbbacccccacacaccacacbaababbbccbbacccabcaaccbccaccabcaaaccbcbabbaabcbcbcacbcabaacacbcbcabcccbbacaacaaaabcaacacccabbaacacccccbbacacacbcacaccaccbcaaabcaabccccabbbcbabbbaccabcacaaabacbabbaaacbbaaacacbbcbcbbbaccbacbbcacbbcbbccbaaaaccacaccccbcbcccbacccabccccbcababcacacccaaaacabababaaccabbacbaabacacbbcbbbcbbbbcabbcacabcabaaababbbcaaacbcabcaabbbbcabcaaccbcbbabcacccaabcccaaccacbccaacbaaaacabccbbbacbabbbccacccabacbcccccccaacababcbbbbbabbbaccbbcaaabacccaacbcbaacaaabbcbcbccabbcbcccabbabcacbaababaaccbcbbbbcbaacaabcaaaabbcbbbbbbcbabacbcaacbbcabaccaabacaccacaabcbcaabbbcbbacabbacbcbaababcabccbbbaacbcabbcccacabacccbaababcabcaaacbaabbcabbacbcbbacaccccbcabbbaabbaabacbbbbbcccbbcccbbbbbaccccbccccabcccacbbbcbbabbccaaaabaaaaabccccacaaacbacccababcbccabacccbccbcabccabcaccbbbbccbbcccbabcbbaccbbaabcccbcbbbacababacacabcacccacbacacabaaccabccaaabaccbabcccbaaccbbcbabbbacbbaccacaacccbccabacbccbbcabacaabcaabbcaabbccbbcabbbabccbbaaaccccbcabaaccbacabcccabcabacacbbacaabcabaacbbcbcbbbcaabcbabaaaaaacbccbccacbacbcaababccacbccabbcbacaaccacbcababbaaaacacccabcbacaabaccbaaccbbabcbcbabcacaaaabbcaacabacbbabaabbcabaccaaaacbcaabacaaccbcccbbabcbccbcaccbbcaccaaacaaabaabaaacabcbcccacbaababccabbbbbaabcacbbbaaabacacacacaacaacbaabbcbcabbaabaaaabaacbccbbcbbbbcbbabacbbbabbacbccbabbaccabaabbaaaacbbbcaabcbaabccccabcbabbccabcacccbaaaababbbcbbcbccbaccaaaaaacbbcbccbabbbcabbacaaaccabcbbaabccbaccaaccbbaacbabbcbcabacaabbbcabbccacabcaccbbabaaaacacbcacbaaacbbbcbaaabbaacccacabbbcbbcccaccbbaaaabcccbccbbbaacaabbbcaaacbbcccbabbbbbbbccccacbcacacaaaccbbaacaacaaaaaabbabbbbaccbabbaccbbcbccbaccbbaabbccaccaccaaaacacccacaacbcccacababbaaacaaaabcabccbccbcaaabccbabcbabbaccccacabccababbcbcabcccbacabbacabbababaccbbaabbcabbccbcacabbabccabbcaaacbabacacbbacacbabbbcbcbacaccbacabbcbcccabacccababbabcbabbcabaaaababbabccbccccccaacacaccccbbcbacbbcacbcabcbbbcbbabbbcaabaacbabaaccbababaccabaababbcbaaabbbbcabcbabcbbccccbcababbacaccaaccbacbbccbcbaccbcbbccaabbaabbbacacbccbacabcaccacbbaacccccbcbccaaccbaacbaacbabccaabacacccacccaacbacabbababaabcccbccacbabbbcbccbcabbaaacacaccbcbbcbccaabbbacbbaabcbacccacbaacbcbaaccbacbbaacbbaabbaccabcbcabcbaccaacabbbccacaacbbcbbbabcbbbbcababcbbcccbbabbbbabbcbaaabbabccbaacbcacbbbbbabcbabcacbcabccbbbbaabaaccbbcaacacbaaabacbbaaabcababbaacacbbbcacbaaccaccccbbabbccaaccbcaacccbbabacccbccabbababaaaaabacbababbaaabcbcccbbbcaabccbccccbbabbbacbbccacaacabaaccacbccaaabacbccbbaabababcbabccaacccccccbbabcbbbacbcbbbbacaaabbacbacbcbabcbccaabcabcbcbbbbabcababaabacbbbcabaccababbacbccabaabaccaaacbaaccacacabbaabaaaacccccbccbcaaaccbacbcbaabacbcaacabccaabcbacbccaccabbacaabbcabacaccabacbabbcbabaccbaccbacaababbccbbcccaacaccbccbcbabaabccabbbacbabcbabcacacbcbccacbacbabccbbabbbccbbbcabaacbcaccaabcbcacbbccaaabcacaaabbcabbcbbabacaccacbbaacbbaccaaababaccbabaabbbacbbaacacbcaaaacabcabbbcbaccaabcccababaabbabacaaababbbbcaaabaabcbacbbacbbbbabbbaccacbbcbacacabcbccbaacacccccaaabcbacaabcbcbbccccbbbbbaaaabcccbabbabacbccbcbcaaccbcbccbcbaacabccbccaabccbcbbacbabbaccbabbcabbbbbaaaaacababcbacacbcbcaaaccbbbbcacbcbbaabccacaabbbbacbcabcbaabcbbcababacaaaacaacbcaaccbcabccbbabbaabccbabccbababbcaacabcbbaccbcccbcabbbcaaccbccbbbabbcbababccbbaacbcabaabcccabbcaccacacaacbacaaaaaabcbbbccbccaccaccabbcbcbacbcbaabcabcccbcaccabbacbbbbaaacccbbbaaaccbaababcabcaabaccccbabaaaacbaabaabababbaabcaccbcbccabbbbabcbcbcaccbcacaaaccccbbbaccbabbccaabaaaabaccacbacacaccbbbaccbcacbcbaccbacbccbccbbbacbbbbacbaacbcccabcbbccbcaaacbbaaaaaaccabcbacbcaaccbacaacababbaabaabacbccccbbbcacacaaccabbccacaababbbcaaaacbccbbbabccaacacbbcaacacccbbcaabacabcbbaaacacaacacbccaaaacacacbbcbbaabcbcccacaabcabbaccabacaccaccabcabbccbcbaaacaaccaacbaaaacabaabbccbbbccbbaccbcaaabbbccabbccabbbcacbcaabaacacababcbaacaabbabbcaacaaccbacaaabaaaaccbaacbaaabbabbbacaccbbbaacccacccbccccbbbccabaacbbbbbaabcabbcaabbbbbcaacbccaabaaacbccbbbccbcbaaacacbaaaccaccbccbaabcbbacccbaaacccbacbbabaabcacaaccaabbbcaaabcbccbbacabacabbcccabcaaabbbbaabccccaacbbcbcccbaccbacaccabbccaccaaabcabbaabaabbbaabaccabcccbabbabcbcccaacaabcccbcbbabbbccbccababbcaababababcbabaaababacbabccbcbccbaacbccaababccbccbcbcbcbacccaaabacabaacbcbcbcabcbcbcbccbaababbaaccbbcbaaabbaccaaccbaababcabcbacbabbbcccbccbbacbabcabcbcaacbcabaaaaccaaabcabcacbcbacccaacacbabcbbbacabbcabbcbaaabbbccbabaccbbaaccccbaacaabbbcccbccabcaabbaabbcbccbaaacccbcbaaaacbccbbccabacacacbaaaacbababcabbbbaaaccccaccaacccbbcaabcabcbcaccbccacbaabbbaacccaaccbbcacacbaaabbacabaccbacacabbaccbcaaaabbbcabcbaacccbcccabaabbbbcacccacbbcbccbabccaababacacabcbabbcccccbbbbbbbcbaccaaaaabcaacabccacabcbbccacaabbaaccbcbbaabbacbcccacaabacabaabaccaacabacacaacbbbbacabacacbcbcccbcababaacacbbabbbccbbaccccbccbbaccaabccaabacaaacbacccbaabaabcccbbbbbbacaababcbcbcccbaaccaabbcabaccabbaabcbaaccabcabccabbacbacacabacbcccbcbaccbcabbabccbabababcbabbabcbabacaababbbcbcccacbabbbbbccaaccacbbabaaccbaacbbbcbccabcbbbcbaacaabccbccbbcaccaaacabaacbbbaccbaccabcbcccaaaccbccbccabccbbcbabaacbbcbccaacabccbcbabbabcccbacccabacccacbbabaccaaccbbcbbcabbccacbaccccbcbbbbccbbcbcbbbcaabcbaaabcacacaacbbabcacaacccbabccbbccbaccaabbacbcacbaababcbacbbacabccacacccacabaccbabbabcbcaacbabcbbbabcbcbabaabcbcbccccaaaacbabbccacbacbacbccbbcbacaacbabcbbaabccccccacaaaaacabcaaaaaccacabaaaacbbbbbacacbcbbacabcbbbcaabbcaccccaacaabccaacaacacbcabccabccaccbbaabacababcbbacbccbaabcaccacbbacccacacccbbcabcaaaaabaccbcaacaabbcaaaabbccaaacccccbcaacccbabcaacbacaaaaabbabbccaccbbbabcacbabacababbaaccbcbbabbbacbacaacaabbacccaabacbbbbacccbcbaaabbabacaaccbaaacbcacaacbbabcbbcbcaababacbcbbaabbabaacbaaacbbbcbccbbbcccacacabbacbaacbbbaaabcabcccccbccbccaabaaccacbbabbcbbbcaaacbccbaabbbcabcbbccaabcbbccbccaacbcbcacabbacbccccaabccacabcbbbcccabbacaacacccacabaaaaaaabcacbcbacaaabaaabbcbabcbbcbcabbbbcbbacababaccbcbbacaacbbacacabbbabcabbbccaaccacbbabaabbbcbbabbbaaabcabbbacbccbbaaacbccbacbaccccbaaaababccabccacaacaabbbabcabacbccabbbcbaccbcacbabbbbacacbabcbcaaccccbbcbcaccabccaaaacaaababbbbababbccbabbcbcaaccacbbcaababcacabaaabbccbbabcacbcbcaabbccacabbbcbaacacabaaabbbcbbbcababbbcabacacaabacabcbbccbcccbabccbabccbcbbbccccaabbbaacbcbbcbbabcaccbbcacabbabaccbccbcacbccaabbaaacbbccbcaabaccccbbcbaccaabbabccacacbbcaababaaccbcaccabbbbbbaacaacbaabbacbbcbbcabacabcacaccaabcababcbacbcacbbcaaabbbabaccbacabacbbcbcbccbcabbacbcbacabbaacabccbbbcbcaacbbcbbcbbabbcaaacbbbbbbbaccbbaccccaababcaababaabcacccbacbaacbacabcbbbbbaaabacaaaaaacaaabccacbbcacabababbaabababccccabbaacacbccaacccbcacaaccaabcbaccacaacbbabbbccabaaacbbacabcbacbaabcacacbbcaccaaacccccaabcbacbbcabcbccbabccbcccccbccaaaabcbcacbcbbbcbabbcacaabcacbbbabbcccccbbbbaccaccccaaaacccabcbcbbcabccbabcbcaacccbcbbcbbbbabbbbcababbacaaabbaacbbccbabccaabccbbcccabccacabcbcaccccbaccaacababccbcbacbabaaaacaaabbacbbbaaabcacbcaaabbbccbbccaaaabcabcccccaaaccaaaaaccaaaaababacbccbcbbabcaccabbbbbbcbbaabbaaaabcbabbcababcacacababbccaaaacacbccabcaaccccacaccccbacbcbabbabbbbaabcbccbaabaaababbccbbcbacbbcacbccabccbbabaaaabacabaaacacbabcbbacbbccbbccaababbbacaccabbcbcacacaccccbcccbcccbaaaabaaccbbbaaaccacbcbccaabcaaaaabbbcaabaaaccbbaccacbcaaacabbcbbbcbaaccacaabaaccabcccabcbacbcacbcabcbbcbcabbbacccbbbbbaaabaabbaabacaccaabbacabccabbbccbccbbbcaacacbbcccbbaacabcbcbabcbcaacbccacababcbabbacbbaacabbabaacccaacbabaababccacbabaabccccaabbcababccbccbaacbabaaaccbcabccabbcbaccbbbaabcbcbcbbababcbcccaaaabcabbbababcbcbaccaacabccbbbacaccabbbbcbbcbbabccbccaaccacbccbaaabbbbaaaaccaaaccbaababaabaaaabcbbababcbaccaacaabacccaacbbccaacbaaaacbbacabbbabcbcaabcaaccaacbbcaaaccacbcaabccbcaaaccbbcaabbaaccaccabacaccccaaacbbcaaacccabacabacabbabcbbbcaaccaabcccccaacbcccaacccccacbaccaababccabcbbcbbccbcbbcacaaaabaabaacccaaccacabababcbacbabcbbbccccabbcacbcaaabbbabccaccbbacacacbccacccbabbacaaabcbabbabcbcaacbbabbbcbaccabaaabacacaabcaabaaabbbccbbcbbcccabcbbcbcacacaccacabbcccbbaacababbbaccacbccccabacbccaacbabcccaabacbacaccaabcbacbabcbccaabbcabcbbaaaaacabaaacbcabaacabcbababaacbaabaccbaaabbbabbbbccabbaccbbbbccccabccbabccabcaccccbbcabbcccaaccaacbacbacccbabcbcaaccacccacbaccbcacabcbbaaaabbbccabaccaacacbbcbccacbbccbbaaccbacccbccabbaacccaaabcaacbaababccaacccababbbcccaccccabbbbbbcbccaabababacbcbacbbcccbababccacccbcaacbabaccaccaacccccaaaabccbccccbcabacbbaaacccbaabaacccaacbcabccacbcccccbbccacacbbaacbaacacbabcacbcabccabcbbbcaabcacbcacaaaaccabbaacbcabbaaabcbcccbccccbbabaccacbcaacabbacaaaacbbccccbaacccaccbcaaaabbbcbbaabccbbacaccabbbbabacacccaaacacaacbbabaacacccbabbcacbbbacbaaabcbcbabacacbcccccccbabcbcacbccbbccbabcaccbabacbccbbaaabbaacccbccaacbcaccbaaacabaabcbaccccbaabbabbcaaacaaabaabaabcacbabaccaabbbcccbcabccbccccbcaaaaaaacbbabbaaacccbabaaaaaccccabcacbcacaaaacaabbaacbcaacccccabacbaccbcaccaccbaacbbcbbaccccacabccacaacabcccbcbbacbacbccbbbbaaaabccacacbabbbbcaabccccacccacabcbcabbcbacaababbabcbccbbbbbcbaccbccbbabcaaaabacaaabcccaacbbacaaabbabaccaccbabbcccbbbcbcbabbcaabbabaabaaaacaccabaaaaacabcaacbbabacccaccbabaacaababcbaabbbcaabbaabbccbbbcacaccbaacccbabbcabababcababacccbacacaccbcaaabaacaccaaaacbbabcbacbaabaabbbaaaabcabaacaabbacabacacaababbacaabcbbcabbbbbabcbcbabcacbcbbcbaaaaabbaaacabaacbbaabbbcaaaaccaacaaabababaaacbbcacbaacccccacbaabcbbcabbcabbcbaacbcbaaabbabaaabaccacbaaacbcabacaccaaabbccaccbbcbbbbccbcabbacbacbcbbbccbbcccbacbacbacacabacaccccccccccbaaccacbcaabacbbcbcbbcbbccbbccacbbbcaccabbccaacabbabcaaabacbcaaacbababcbcacbcbccacbbcabbbabbcabbaacacbaccccabaacabccaacccbaabaacaaaababbbacacbacaccacaccababcacbbcabccaccbbcbbccaaabcbbcacbaabcbabbbccbbcbbcabacbaaaaccccacaabcabaabcababaaacabccacababbaaccaaacabbabababbcabcacaaacbbaacccbbcbcbbabacccbaccacbbaacccacaacbbbbcababbabccbbcbaabcbcccacbbacabbcabcbacbaacbbbbcacbacaabacaabcbacbaacacacbbbaabbccaaacccaccaaabbcacbacaabbcbbbbaabbbccbaacccbbabaccacaaacccbbbbccacccabccaabbbbbcaccbbbbaababcbcccaabbcabccbcbccccbcbbbaccbbbbcaacbcbbbbcbcacbcbcabbabccbaabccccccabcacbabaaccbccbcbccaacabbbcabaccccabaaabcaacbbcacbbacbbababbababbccaaaabbabaaacabbababbcaaaccccccbcbabacbcbbabbbaaaacbbbcacacbbbcbababacabacbbcbbbacbbacbbcbacacababcbabbcbaacaabccbcbbcabbaacbbcccccacbcabcaacbbcbbcaabbabacabbccbaaccacaababbbbacbcccccccbbcaccacabcacaaccbbcabacccbcabcbbccabbacbcccbabbcccaaacbbcabcbaaaccbbbbcccaaaaacababaccabbbaababbbbbcaaccaccaacabaaccacccabaccbcacbbbccbbaabbccabacbcacabcbacaaabcabcccccaaaabcacbbabaabaababcacabbbcbaabccbccaaacabcaaaacbcabbbaaccccabbbaabbcacbabbcbccaabaacabbbacccaaaaacbabbcaacbcbcccaaacbbccbcbccbcaaacabcabbaaacbccbbccbbbccabbabcabbcbaccbcbaacbbcbbbcbbcbcccaacccaccbcccaaacacbaacaabcbccabbaccaaabccbacbbaacbbacacbbcabaabbaaaacaacbccaacbabbbbabcabbacaacbabcbacbaaaabbabbcaaaccbccabaacabaaabbcaccbbccacbaaaaaabacabcbacababbacccbbacccbbccbbbacaaccccbbcbbcbbaaaacccaaabcaaaaaacccccabbaaccaaabacbbbacacabaccccbaababcababcbbcbbaacbcabacbacbcabbaccccabcbbabccacaccaabacbabcbaacaabcccbcbaaccbccacccabcbbabccabacaaaacbbcbcabbcacccabcaaacbcbacbaababcbaabbcbaccbaacaaaacbaaaabcccacabbbabbaabbbbcccabaaabacbaacacbaccbbbcbbaaaabbababacbcbbcbaabbacbbcaaccaaabbbbaacccccaacbcabbbbaabbaacccabacbaacbbbbbacaaaaaaabbcaccbabbcbcaabcbcbbbcbbcbcaccaabbacbccccbacbcbaaacbbcaccbccbbabbcacaacacbaacabacbabbcaaccbaaaccccbbaaaccacabbbbacbbacabbcbbacaacabbbabbabbbbccaccccbbbcaccabbcbbabccbcccbbaaaacccaaababcbbbacbabccbbabccabaaacaaacacbacbaabaaacbcbccbcaaaaaccaacababcbbccccabbbbcaabcacacabbccaaabbabbcbbababbabababacbccaabccbbbbcabbbaaaacabccccacabbccbcbcbccabbbabcabaabbabbbcccbacacbbabaabacacbabcacabcacaaccccbccbccaaabcbbbbbcccbacbaacabcbaabcacbabbbbbabbacbbcacbcacaacabcccabaccabcaacccbbbaabaaccbcaabcbcacabaaabcbcbcaaccbbcaaaaaacbaccbbbccaacbacacbcbcbbbbcbabccbcbbbbcccabbacbacccbcccbbcccaaabbabaccabcaccccbaccbaacbcbbcabacccabcbaaabccccbcaacbbbaaaaabbaaaaaacbabbbcccacccbaaabbacbaacbbacabbacaccabaacacacbcbccaccbacbaabbabaacabbbbcaabbbcbaacccbbbcbbbcaccbbbcbaabaabaacababababacabcaacbcaaacbcabcabaabbacccbacacabacbccaccacabccacbcabbaaaacacbaccbcacaabbabccabbcbcbcacbbaabacccbcacbaccbbbacaccbacbacababbcbbaabbbccbbbbacabccbbcabaccabbaacabacbbbababaaacbaacabcacabbcbacaabbabcaacbcbcaaccbccaacacabaabacbbcacbccabbaccbbbbcaacbbaaacaacccabccbabcbabbacbabcacbccabbcbacbbabbcbbabbaccabbabcbaacbbaccbcabcacabaabbbcbcbabcacbcbbaccbccbbaabbbabbccaaababcbabbbbbbbaaabbcbabcaacbaacabaaabaabbccbccbbbbbbbbabcccccbbcaacaabcaacbbbbcaacacaccabbbcbcbcaccbcbcbaccbbaaccaaacabcccabcbaabbacbbcacbabcbaccaacaaaacbcabccbacacbabbbbaacaabaabacbbbabbcbbaabbababbababcccaabcaacbabccccaccacacbbbbcacaabacbcacccbaccccbabcbbbcaabacabcabbbaccacaabccabbcacaacbaaccbbacaabcbbcacbbcaacbacacaaaaaccbaccaccababbcacaacaabaaabaccbbbccbababbbbbaabcbcbcccabbbbbaacbbbbbcbacbcaababbcccbccbcaaabccacbbcbaabaccabaacbabbcbbbbbaacaaaaacaaabaacbaabaacaaaaacacccbacbbcbbcccbaaaaccbcccccaaaabaabccbbaaccbaccaccabaaaccacaacbbccaccbcaaccbaaabbaacccccbacbcacaacbcabaacbcabacabbbcabcbabbbabcbbbaacacbaabcbcaaaccccbbbbcbacababacacbaabacbbbccbacbbaccccbcbcacccabbbacaabcbcccccccabcbbbcbaccacbbaabaccbcabbbcbbcaaabccbacccacbabccbacbabaabbabcabaaacccbbbbcbccabaccccaaaaccacccbcabbbbbbcbcaaabccacbabaacacbcabcacccabbcacbabacacabababaccbbcacabccccbbbbabaabbcaccacacababaaabcbbabacaababacccbbaacbaaccaabbabccaccbacabbabcabbbaaacbccaccbaccbcbacbccbbcbcbacbbaacbaacacbbbcbbacbbaabaaacabccabcacaabcbaabbbcaaabbacbcbbbccccbbccaacbbaabacacacbbacbaabacbaaabcabaaabbcbabacaabbccccbbbcbabacbabcabcacbaaaaabbbccccccacbabcbcabcbbbaabaabbcbccaabbccccccaccaccbaacacabccaaabcbaaacbbbcbbaaccacaacabccabbbabcbcccacaaabbabbcacbbcaaaacbcccbbccbabcaaabbccbaababaacabaabccaccccbcccabbbababcabbbbcbccaabcbbcabbcbacbaabcbacacacbcbaaccaabbbcbaacccbbacbbcbabcabbbaabacbbabbbbaacabcacacbaabccbaccabacacccbbaacacaacbcababbbccabbabccbbabcbbcabacbcbabcbcbabbbcccacaaccccacacbbbbaaccbacbbbbacbabbbbccacccacccbbccbbaabccbbbcbbaabbacaaacabacbabbcaaaaabbacbcabbcacacaaaccacbacbaacccbacbccaacbaaccbbbacaacabaabbbbccbbcabaaacbabbbacbbbabccaabbccaacbbcccccaacbabaacaaaaabaacaaacabbbbcabbcccccbbccbcaabcbaabaacabcacabcacabbcbabccbbcabbbcabbbccacaccbabbccbaaababccccaccacbbbcbacbcaccbbababacbabbccaaacbabacaacaaabbbbcaccbbaccbacabcaacbccbbabaaaaaccbbbbcccaccbabcabaabbacaccccbcacacccaababcbcaabacaaccaabbaaabcccbccaaacabccbaaabbbaaabccabaaacccabacaababcaaababcbabcacabbbcbcbccabbacbcaaacbabbacaacbaccbabacabcaaaabacccbccbcabaccabcaaacaacabccbccbabacaccbabaaababaccacabaacbcbaaabcbcabcbcacbaaccbbbcccbacbabcaaaaabcabaaabbaaaacabcaaaabbbbcaccccacbbcaaccaccccbaaacbcabbbbbcaacbcbacaabbbcabbbaacabbcabaabcbabbaabccacbacbcbccaaabacababababcacbababcbabacccbcbbbaacbaabacacacbaacbcbbacabcbbbabbbcaccabcaccbccaacbcbabccbcaabaaabccacaccaaabbcbcaaabcccbccbcacbcbccbbaabaababaacbbcbbacbaccbabbccaabbaccabacacacaacbcbcbbaaaacbbacbabcacabaacaabaacacabcacaacaababaacacbcbbcabbcbaccccbcbbcaabcbcabcaccabccaacccacbbcaccbabccabccaccccacaccbccbaaabcbbacaccacbacbbacbcaacbaabacbaaacababbcbacbcbbbbbcccabcbacaabbcabbabacbcbabbababbcbccbaabbacbcabcbbbcaabcbcabbcacaaccccabbbbacabcbbbacbabaacbabcaacbbbaababbbaaaaccabbabaacabaabbcbcccbacbaccbaabcabaacaaaaaaabaabbaccabbacabacabbaacabbabbcabaaacacbaccaabbbbababcccbcacbcaaaaabcababccbbcccabcbcbcccccabbbacabcbbbcbbaabbccabacccbaaaabbaacabcacabbaabbabbbcccbabbccababbacccabbacaccbccabcbcacabcbabbcabcbbaabbbbaaabccbabcccbccbaaabcaabcabaabccbcabaacbabbcccbbbbcccbbbcabccacbccaabacaabacaabacabacbaababaaccaccbcabacbabbaaabbbcaacbbaacaccbbaacbbcabacccaccbaccacccaccaacacbbbaacccccccaaccabbaabcabaacaaccccccccbaacaacaababbacacaaacaacbbccccabacccbabbbabcaacacababbbcbabacacaccaabbbbcacaabacbbbacbcbbabcbccbcabcabbaaaababaaababcabbacacbaccbbbbacacbcbcbabaaccccbccacacacbbcbcbbbabcaabbbabbabbaaacbccbaaccaccbbbaacbacbcbaaccbcbabcbcbaacbccbababcccaabbbabbbbcccccbcbcccccacacbccaccaabaacaabbacabbbcbcbabaaccbaaacaccbbbbbababcbcacccbacaabbbcbbaaccccbbaacaccacacbaacbcbcbaaabcbcbbcacbcbcbbcbbbbbccbcbcbacaccbaaabcbcaaccccabaabbcaabbabcbcabbbaacabbcbccaaccccccbbaaabbcaababccbbabacbcaabbbacabbcbacbbaacbaabbabbcababcabbacbaacbbacabbbbbbabbaabacbbccbabbccbabbabacaaccbccbccbbbbaccccccacbaacbabbacbbbaaabbbabbaababaaacaaccaacaabcaccbbbaacbaaabcbacaacbabccbccbccacbaccbacbabcabbccacaaaabacaacbccbcaaabcbcbaabbbacacbabcbaabcaccbcbaabcacaaaaacababbcbccbbacacccaacbbbbbbcabcaaaababccaccccbbbaacabcabbbaacccacbabcacbbbcccacabaaaacccbccbabbaaacbacbcaccacbabbbaaaaabacbccbaabcbcaaccbbabcbcbbcbcaabbabbabbabbbbaccbccbcabaaabbababbbbacbbbbaacacabababaccaabcbbbbbbabccccaabaabcaccacbccaaaccbaabbcbacacbbcacbcacabcacbcbccaaabcbaaabaaacabbcbbaabbbabcacacbbbaacbccbcbbacacbacacbbcbbacaabbcbccbbcaaaabcbabbacacacaabcacaaaabccabbbaacbabccaabccacbbbbbabaabacacbababacbaaaacccbccbbcbbaababbacbabbccbbcababbcbbacccbbacbcbabbccccbaabcaccbbbbbaacacabaacaaabccbbcbaaccaabccabababbbcaccacaabcbcbaabcbaabacbcbbcaacaccacaababcbbbabcbaaccaacacbbabbcbbacbbacabacbbaccbbcabaccaabcacaacbbabacbbaabbabaabbaaaaccabcbaacabbbacbbcaabaacaaabbbbbbbccbbaababbcbbcbcabcaacacbbcaaacababaaacaccccbacaaaacacbcaaaccbbbacccbbacbabbbcbccbaabbcbbcbacabaabaaccbbbcacbbacbbaacbabaccacccccbbbcababbbccabaabccabcabbcbacacccccacbbcbccaabbbccbcacaabccbacaccaabababbbcbbbacbabaaacabbbbcccabaabbabcaacbccabbbacaccccbbbbcbcabcaaaccbcccbcbacbbcccbbccccacbcabcabbcacaabaabbacccacaabccbaacbbacbbbbcbcccaaaabcccabaabbcaaccaaaccabaccacacabacacabcabcbbbabcabaccbbccbbabcccbcccbabbabcbbcabccababccbbccacbbbcbccaaaacacaabbcbacccccaccacccbabbcaabcbcaccbcacacccbbbbcbabaacbacbbccbbacaccbbbacbcabcbabaabbcaaababbcbccacaabccbcbabbccbccaacbbccabccbacacaacbaabaccaabcbcbcaabaacaabbbbccccacbbabcbcbabbbbaaaccccccbbabcbcbacccacbbabccccbabbabbacaaaaaaacaabbacbbccaabbbacbbcababbaabbabbbcbabbacbbcbabcabbaacacabbcabbabbabbbabcbccbbbaaacaaabacabccaccbaccbacccbbbcbabbacbaabccacbcbccccacbacbababcbbabbababaaaabbcccbbbccbcbabbcaabbaabcbcbabaabacabacbcbcaacccabbabbbcacabcccaacaacababbcccabcbaabbacbacccaabccacbacababacbbaabaaacbcabcbbcacbbcacbcbbbcababcababbaacbacabcabaaacccabacaabbabcbbccababcaccaabaacbbccbcabcbacbaabaaccbaabcabbbcbbccbabaaaccbabcbabbccbcccbcbcaaaabbbbbbaacbacbbbcbccbabccacbaaabbaabbaabbabbaabbbbbbcbbbcccacbbbbcccccbbbacbacaacbcaabcaabccacccbcbcbbccbaaacacbacbbbccaaaaaccccbbcaaacccababcacccacccccccbacccacabcbcabacacaaacabaaabbaaccbbbaabcabccbbbcbbabbabbbabcabcaacaacaaccaabbcccbbbaccaaccbacaaccaacacbacacbbbcccbcccacaccccbacaacacccaabbccabcbccbbacccbacbabaabcbbbbcabcacaaababcacacaabcbccbbacaabbbababbaccbcbcbcbabaacabccbbcbbaaabccaacbcbacccbbaabcbbacbccbbcccaacbcbcbcacabcabaabcaacaabbabbbcccbcacaabaccbccabaacbbabccabbccabacaacbccabaacabbbcacacbbcbaabaacacbacaabcacaaabcaaabccbbaaaacabcaabcaabccbaabbaaacaacabbaabcababcacccaaabacbaacbcbbbaabbccbbbaaabbaabacabccbbbbcccacacbaabbbacaabcbabccacaacacbbaabccbbbbacccaaccccacbccaabbbababcbbbbbacabaccbbcaaaabbabbabbcbabbaccbbaacbaccbcbbbcabcacbccbbabcbacabbccbcbacacbabaaaacbbcccbaabbbacbcbccabccaaabaacacccabbcacaaacabbaacbbccbaacbcbcacabaaccabcccbcabcbababbbccabbbcbccbaccacacbbbaacbccbbcbaaaabcbbcccbbaaccccaccccbcccbacaabcbabbacaacccabbaabcbaaaccabacacabbccacbacaaabcccbbbbaaaccaabacaccabababaaaccacbacbacbccaaccccbaaacaacacaaaaccbcabbccabcbbcabacaaaaabacaccbabcbacbcbbccaabbbbaacacbcaaccbcababbacbacaaabababbccbccaabcaccabcbbcbabbccbabbbccabcbacacbabbaaabcccaaaccabbccbbaabaaaccacbcbbcabaaaccaaabccacaacabccbcabcccccbabcbbbabacabbabbabaccacabcacaabacacabbcacaacbcabccbbccabacbcbbbacacccbcbcbaccacbabcaacbbcccbaacaaacbaabbaacaacabcbcbbcccbcaaaabccacbcbabacaaacbabaaccbcbccbabaabbcbbacbaacbaabbcacacaaaacaaaccccabccaaccbbbabbcabbaabbabaaaacbccaabcbcbccccbacaaccacbaabaacabbacacacbcbabbbacabbacbbbcbabbbaabbbbbacaabacbcaabaccacbacaaccaacaaaaabccabbabcacbccaabbbcbabaabaaacaacccabbcbbcbcabaaaaababbccccbbccbcaacacbaabcbbbababcbbbbabaabbcacaccacbababccbccbbccacacabbcaacbabbbcbcaacbcaabacbaabaaacbbbcbbcabccaabccabbbccccacabaacacccaabbbcbbccbaacababcabbaacabaaccbccaabaaccacbabcaacccabbbccaacaabcbacbbaacbacaabcbccbaacabcccbcaacbcbccbcbacacccabaccccbcbbccabacbbccaccaacbaaababbabcbbcaaabccaababbcabcbabbbaabcbbacbcabbbaacbbcacaaabbaabcccbcbccaacacbacbcbcaababbccababbacccbacaaaccbcbcbcbabccaaaccbabcaabbabcbabaccaccaabbbacabaacccbbaccacbabccacaccacaaacaaaaacaccbcbbcbabbbabbbccaccaaaabaabbcbbcbcbcaabbaabaacaaaaacaaccbcbbccacabbcbbccccbbbbbbacbaaabcaabbabbabcbabcbbbcbbabaabaaaaabacbcbbbbabaccbaabccaabbabcaabbbcbaaaabbcbbacacaabaccabbbacacbaaccaabbabcaacaccaabcaaccbcbabcababcaabbccbbabbccacbabcbbcbcabccabbcaabcbbcbbbabccaacaabaabbccbbcccbbaabbabcbcabbcbbbbbaacbccbbaabbcaaaabbbacccccabaacaabcccacaacccacacaabccccccccacbaaaabbccbaababbbccbcaabacbcccacaabbccababacaccaaabacccaabcbbccbaccbcabbabaacaccacbbaababbbcccacacbbabcabacbbaacbaaaabbbabcbaaacaacbabbbbcaacbcbaaaccabccbabccaabcaacabacaaaccabaacaabbcbccbaabcaacbccabaccabcacbccaacacbbaccaaccbcbbccbbcabaabacaaccbacbbacabbbcbbbccbcbaaaacaccaccacaccccbaacbcaaabcabbbbbbcacbccbcbacaabcaaaccccaaababbabcbbbaccbbaababacabbabcabbccbbbaacaccacaabccbaaaabcccacaacabacccbaccbabcaabbaaaacaaacacbbbaabccaacbaaccacbbbcaccbccccbaccbaccaacbaccbcaaccaccbccbccabbaabbbcaccccabcbacbacbccacabbbcacbacbaccbbccabacbbcbbababbbaacaaabbababbccbabbcbccbccccaabbabcccaabbbcbcbccbaaaccaacaacbcbcababccabbacbcbbbaabaaaccbbaabcbbccacccaacacabbabccacbcbbaccaabbacbaababbcbbacaabcaacccbababacabbbcbacccaabcacccbccbbbabababbabacaaabacacbaaabbccaaaabcacbacbacaabaaacbbcbbacacccbbcacbcbaabccbccbbbcacacbbcbcbaccccbcccabbccbcaccacbaabbbcbaccbcabbbcbaaaabbbaaaabaacbcabcaaacbcaccabacababbcccbacbaacccbcabaccabccbcbbbaccacaccbccabbcbacabacbcbcaaaacaacbabbacbbccbaaabbacabccabcbbbbaaabbacbbbbcabcaaaaccbcbcaaaabcacaabacbbbbbbaaccbcacacacaabaccaacbcabaccbcbbbaabacbbabcbbbabcaccaaaaaabccbbccbaccabacbacbbccabbacccbbbbccaaaacccaabcccacaacbacacacacacccbbacbababaacbbcccacabbbbbaccacbccabccaabbcbbabcbbaaccacccbcbbccbbcbbbacaaabbbcabacbcabcaacacabccabbbcababbcaacbbcacbbcbabaabbbcaccbaaaccaaabbccbccbcccacaaaccbaabbacababcbccbbbcbaaaaabbcbbaabbcbbbaaabcbcacabbcbcbccbcbbabaaaabbbcbbccaccaccbacacacacccaccbbbcacbcbccaaccccbcacbacbcaccbcaabbaacbaccbabaccbcccabccaabcabbacbbbabaaaaaabaaabcccccabccbcababbccbbcbbacccbaabaabbbabbaacacbbbabcbcbcacbcbcbaaaabaacbcbacccbcaaabaaaccaabccaacbcbcbccbcaaabccbcbcbaccaacacbbbbbaacbacccbaacacbcbcbbbbccaabaababccacbbabaaaaabcacbcaccabcccbbcaccbcaaaacbbbcbbbabacbabcaccabbabaacaabcccaccabbaabcacaabbbbbbbaacabaabcacabababcbbbabccbaacaaccabbacbbbabccabbacaabaabbbbccbbbcbaaacbbbabbbcbbbcacaccaabbcccbbcbbcaaacbabccccbbbacabaabccbcbabcbcbababacbcacaaaabacaabbbccabbcbccbabbaaaacbabbcbbaacbbcaacabcccbbbbcbcacabcaaabacbabaabccbbbbcaccbacbcaabbcaccaccbbacaccababcababbacbcaccacccaaabaaabaaacbbbbbabaabbbaccccaabbcbbbacababbbcbccabbbacaaaacbaabacccbacaabababcccaccacbababacbcaabcbbbccbbbcbcaabbcccabbcbcbccaabaaabccbccbaacaccbbbbbcbcbabcaacbbbbacabccabcaaacccbbbcbbaaaabbccbccccbabccaccbcacbbccabaaccbabcaccabcaaaacaaacbaaacbcbacbcacbabcabcabbabbaaabccbcbaccbbcababbcacacbbabbbbabcbccbccccaccacbacabbcbaaccbccabbbcbbaaacbcccbaaccbbbacccbbaccbacbabbcacbabbbcbbcccaabaacbaaacaabbcbbbbbbaababbcacabcbbcbcbccbabbccabcabbacacbbaccbcccbcaacbccbbcababacaaababbbacbabcbbbabcbabbcbbaabbbccbbcabcabbcabccbbcabcaaaababccabbaabaacacabcbcaccaccbcbbbbbcbbacabaaacababbaabcacaabbaaabcacaababbccaabaabcbbbcbcccbaaacbcccbbcbbaabccbcabbcacaacabaabccacccaababaabbaccccaabbccccacacccabcabcabbccbbcbbbaacaccacbcbabbcaccccaccbaaccaabbcccaabacbcabcbbccaabaccccbbaacbabcbaaabccbaccccbabccbcaaacbaaccbbbabbabacaaccabacaaaccccbccbbacbcacacaacbcaacaccabcacacabbbcaaaaabaabcbccacaccabaaababababcccacacaaaccbcccacbbbbcbbcbacabcbbacbbbcbacaaccbbccaaaabacbcbccaaabacbcbaacbabaaaccbaaacbaaccbcaaacccaacabacbabbcaabaabaabcbababccbababbaaaabaccabcabcbaabbaacacbcabcbccbbccbbbcbbbccbbaabababbbbacccbcccbcacccacbccccbaaaabaabbbbbccacccaacbcbaabbcbabacacbbcbabbaabaacbbbccbcabacbacabccbaabbabcbbcacaccaabaaaaabbcccbaaaaabaaaabaabbabcacbacbaabbbccbabacbbccbbbacbccbbccabaccccabaabbaccacccaccbcbbbbbcabccabcbcbcbbaacabbbcbaacbaacacaccacabccbaaabcaabbabaaabcaacaccbaaaabaaacabccbabcabccacbbacaaabacbaabbaacbcaacbbbccbbcbcbbcbcacabccbcaaabcaccbbccbcbcaccbbbbcacabcbccacbccbaacbcababaccbacbaccbabbbcabcccaacbaccccabbbcabccbababcbccbcbcbcbacbabccbcacbbbbacacacbbbccbccaaccccabbabccaabcaaacacbcaabacbcbcababacaacabcbbbbccbccbbbbbbccbccbacabbbbccccaabbbabaacbacbbacababcaabcbccabaabababacbbbcaccacaccccaabaacabcbbbbbbbcacacbabaababbbbbaccaaccacaaaaaccababccababcabaccbcccabbacbcccbbcacbaaccbacccbbbcbcababaaababcaaccacbbbbcaabacacaacaacbcbbabbaacabcbaacaaabbcabaccbbabbaabbaccaababaccaabaaacaccabaaccbabcacaccaacbbbacbcccccbbacbccccbcbaabacabbbabcbbcacbcabcaaaacccbaabacabcbacaacbbabaacbaabbccaacabbbabababcbbbbcbcacabcaaccaabcacccbbcaabbabcbcbccbccbabaaacccbcbcaaaaabccbccbbaaacccaacbacbabbbaabbbababaacacaaaabbcaccbbaabacbbacabbcaaabbacbaccbacbaabcabbcabaaacbaabccaaacbbbcbccabbacabacbcbcacaabbcbbcbaaccaacccacabcbababaabccacacaccbcccbccccaabccabbaabccacaaaaabccbbbcccaccccaacacccaabbaccacaacbbccccbaabbbbbbcabbccbbaccccccacacccbaccbbbabaacbcbbbbaacbababbacbaaccccccbacbbcbabaccbababbacbbaabccbbaaabccabbbabcbbcacbacaacbcbaabbabbccccccacbabbcabaacaaaaabccccaababbabccabcabacabcaacbccabbaaabbabababacabcacbcaccababcabaacbbbbcbccbaaaccbbbaacabcbcacabcccaaacbccacbaaabbbacbbcccbbcbabccbabcbabaababcbbbbbbbaacaacacaabcabccbaacccaccccacbbcccabbbcacaaabbaaaaababcacbbbbbbbacbbababaaabbacabccaabbabaccbcabccbbbcbacababbabacbabbbbbabbabccbbabbaaccbabcbacacabcaacaacaabacbbacbbcaaaababaabcacabcbabaacbabacbbcbcbcbaccbccababbccbaaacccbccbcacccaabccacccbcccabcbabaaaccbbbccababaabcabcacccabacacbcccbbbbbbbccbcbbbaacaaaaaacaaacabbbbacbbaccbacccbbaaabbaacbcbababbbcbcaccbacbbcccbacbacaababaccacacabcbacbbbbbabcaacbcbbacaaaabccababbbbbccbacccaccbaaccaabcabcbbababcaccaccccccccccccacbcacaccbccabacbcaaabcaabacbaacbacacbacbaaaccacbcbbbccaabccbaccbbbaaabbcababbbacaacabbaccbbbbaababcacacbcabccccbaaaacabaccacbcabacbcabcbcacbcbbaababacccbbcabacabacbbabbccabaacaacbbaacbcaababacbbcbabbaaabaabcaccaaaabbbcabaabcbbbaccbbcabcbabbcbbbbcaabbcbacbaaacbbcbabaaaacbbbacacabbbbabcbccbaabccbbcaaaaacbbbbcbcaacaacacabacbaaaccbbcacaababcccaabccabccacaabbbbbccbbabbabbcbacacbcacaacaabcccaccbcabcababccbabacacbbaaabaaabcbcbccaabaacbcccbbabbbbcabccbaccccbcbaaacbaabcbcababbcabacbcbcbaacccaccbcabbaabbccaaabacabcbcccacbbcaabbbcbbccabacbbaababcbcccbbbbbbbacbcccbbacbbcccbcbacabbaabcacbbacabbaacccbcabaabacbcaacabcbbbaacbabbaaaccabccbcbcabcabbcbcbacbcbcaabbaabaaaababcacabaacaccabcccabcbabaccbabcaaacbbaacccbcaabccaabbbccbbaaaaccabbaabcccaaacbbbcbcccbaccbbbaacbacbaaabccbabbbbbccababbaccaacabcabcaccbcaabbabaccacabcacbacccbbabcabaaccccbcabccababccbaabcacbcbbabaaaabbbccaaccbaabacbbcabbbaabbbbaaccccbbbabcbabbcbacccaabaccaccbbbbabaacabbcbcbccbbcacabcccccbacaccaccbbcaaaaaaacaabbaaabcbacccabaaccacbcacbabacabbcaaaaaabacbcaaccaacbacacacaaaaccacbcccaabbccbbaacbacbccbacbababaacbabcccbabbcabbabcaaacccaabaaaabbcacbbbcaacbabbcbbcbccbbccccaaaabacbbabaacbabcbacabbcabbacbaabcbaaaccacbcbcbbcaabbacbbbcbbbbcaacbcacacbabacccbacaabbaaaacbcaacbaacbbbacabbcabbcbbcabbabbbbaccabaabbbacbbbcaaccaacbabaacbaabcbcabacaaacaccbababacacaacabcbcbabaacabacabaaccaaacbccbcaaccbbbcabbccaacacbcccabccbaacbccccabccaccacccbcaaaababccccaaacbbbbaccbccbbbbacabcccaacbcacaabbbbccacaabacbaacbbaccaabcacaccababccabacbacbbcbababcbacbcbacabcaccbcbbcaabbbabaccbbaaababbccccaabacaacababbbcbcabbabbabccabaabaaacbabcbaacccbbbacabcccabcbacabacccabababaabbbcbbacaaccbccabcbbaaacbabccaccabcbabbccaabccaacbccaaacbaccabcaabcbcbcaccabccbaccbcbaaacacbbbcabaacbcaccababccbbcaabbabaabcbaaccaabacbbabacaaacbbabaacaccaacaccbcacbbababbcabbbaccccbcbbbacbbacccbaccbbbabbcaababbaacbbccbbbbbabbbbabccccabaaaabacbccababcacabcabbaabbccacbbaacbbccbcabaacbccacaabaabcccabaaaccacacabcccbbbcbcbbbbaaaaaabbcacacabccaabcacaccbaccbbaacccacbcaabbbbccbbabbbcababcbbacbaaabaabbcaaabacbcbbccababbbacccaccabccacaababbcaccbcbccaccaacabacaaaccbacbcaaacccaabaacbcaaccbbacabcccabcaabbccbabbbccccbaaabbccacaaccbbcaccabbbaabacccabccbcbaabbcacccbbaacbccbabacabacccbcbcacbcbabaaaacacababaabbaabcaacacabcaaabcbcacacbacabbccacabaaaccbaaccbcbcabcbccaccbcbabbcbccbcbacacacbabaacabbbccacbbccabcaacaabbacccabaabcaacccccacabaabccccabcbacacbbaaaaaccaacbacccbcabcbaaabccbbcbaababbaccccbaacbccabcccabacbacaacacaccacccacbaababcbbbccabaccbabcbabaccbbcabbccbbcbbbcbcacaacbbabcbbaabbacbaaabbaacabacbbaabaabbbbcbcaabbbaccaccbacbbcbcbbaccacaccabbcccbabcccaacccbbaabbbaccbaababacabbbccbaabcbcaaccbbcbcaaccaaccbcbacbcbcabbabacababcccacaaaaccabbaacccaccbbacbabcaacccacabcccbabbbcacaacbbbbacaabbabcbcbaccabaabaabaabcbaaaacbbcacbabaacaaababccabbbcacabbccbbabcbabcbaaaaacccbccabbbbbcaaaaaacaccacbabbabcacacbbcbacbaccaaacaacbccaaaabaaacccaccbaacacbcbabacabccbcbcbcaacbaaaccaabaacabbacababaccaacbcbcaacaacacaacaabccccbccbbbbaaccacbacacbbacbbcbabcacacacccbbccaabcbbaabbbbbbabccbbbaaacbaabcccacbaccbbcaccbcbaccaaccbcbbcbaaaaccacbbbbbbaabbacabaacccbccaacaacccccbabcaacbabbbcabbbbabababccaaaaaaccacaacaacbccbbbacaaabbcaabcacccbbabbbcaaccaaabccbabaabbbaabaababbaaabccaacabbbaacccabbacaaacaabbbbbaabbacccbabaaacabcbbccabcbaaccbbbcccccbaaccacbacbacabbababaaabcccbabcbbbcccacbcbacacabbbbbabacbcbabcccaacacaaaaaaacabcccacaabbcabbccaacaccbcaacaccabaacccbacbbbcabacaacabcaccaccacaaacabbacccaabaaccbbcbcaabbcabccccccaaaccabcacbccbcbbacaccccbcbacbcaacbaaaaaacabcbbcaabcabcaabbaaabacbcaaaacccccbbcabaccbacacaaccaacabcbaabbcbbbcacabbbcacaaaacaaacbbbbcccbacbbbbaccaccbccbbbbbcababbcbbbcaaccacccaccababbcacaaabcabbcbaaaababbbcabaaaabacbcaaaaabcaaccbcacbacaaccbababcbaacbbbbccababacacbcaccbabcbbbaabccacbacaacbabbcaccabbbabbcccbabcbbaacbabcbabaababcbccabacaaacacacaaccabbcbacaaabacabbcbccbccbaaaabcabbabbccccaccbcacabcccbcabcacaccaaababbcabccbbbbbcacbaccbacbbaaaacabaaccbbcbaaacaabacbbccbabcaaaccacbcabcacaaabcbcabccbabccccabbccbababaccbabacbcbaabaabcaababbcaaabccabbbbccbacccaaaacaacabcbaaaaaaabbcbbabaabbabcbcacbbcabcabccacbaaabcccabaaaccbacccacbccbbbabaaabcbbbcaccccbbbaabcbaaaabaaacaacbcabcbcbbacabcacabbabcaaaccabbcaaaaacbcacbaacbccbacacacbacbbcaacbcccacacbbbaabcbbccbabacbbaaababcaacbcbcbacbbcbcbcabcacabcbcaaaababaaaccbbbaaabccabbbbaababbbcacccbbaccccaacbaaaabbbaccbbcabaccabacccbcbbbcabbaabbcbcbaacccabbabcaaccabacccbcaacccaccababccacbacbccbbabacacabbbcaacaabaaacabaaccbcbacaaacbbacacabaacababccbabcbbaccaaabcacaccccccbabbcbabaacabbbccabcbaccbbbbccbbbbcbacbcabacacbbbcccaaaaaaabcccababaaabccccccccabaacaabbcacbccccbacbcaccabacbaacbcccabacacaaaccacbcbbaabcbaabaacbbaccbbbcbabcabcabcacababaaaabcacbbcccaccaabcaccabcacccabbbcbbbabaacbcccbcaacacbacababccbbbcabcccccbbcacbbcabaacacbbaacabcbcbccbccbcccabbbbbcbacbbccccbcacbcbacbbbbacbbbbbcaacabacaabccacbcabccabaabbaacccaaabbcccbacacacccacaabbabbbabbaacbcaabcaaacbaacbbaacacaaababbccacbabacbaacaaacbacccaabcbacbbcaccaaaaaaabcabaaccacccacccbabbcbbacabbbbcbaacbcabcaacbacbbbabcbbccabbbccbacabababcccbccabcacbbacbcaaaabbaabcabcaccabbcaababaaabccabcbcacccbaacaaababacbcbcacababcacccbbcbacbcabbcbacacbabbccaabcbbabcbbaccabcaacbbbbabcccbaacaacbcccabbabbaabbbcaaacbcaaaaccbabaaccccccbcbabbbbcbaacaaabaaabaabcaacaaabaccccaabcccacbcbacababbbbacbbcbaaabbbaaacaccbaaccbacbababacbbcbacccbabcaccbbcbacacabbaabcbbabaccbaabcaaabbaccaaccabacacaccabbcbbaccacabcaabacbbbacabaccacbbbacabaaaaccaabababbaccbccabccccbbcaccacaabcabacccbcabababacccaacbcbcbcccabcbabaccabccbccbcaacccccccbbababcaacabacabcbabcbccbbbbacbcbcabccbacbbacacbcabcbbcabcbccbcbccccacbccbcacbbbaaaabbbaaabbbcbcabbbaacabaccaccbbcbcbaccbccacbacccacccbcbacaaaaabbacaaabcaabbabcbacaabbabcbbaabaccaccabbcbbaccaabaacaccbbcccccaaacaacbcabbbcabccbcaccbaaacbabaccbccccbaccbaabaccaaacaacaabbaacbaccabccacbaabbbcaccaaabcbacbbccbcbccbbcccacbccbcaabccccacbabacbbbabacabbcbaaabbccbbbcaccbbbacbcbccacbbacabacaaccbaaccbbbacbbbbcccbcccbbbacbbaacaacacacbbcaabbcbbcccbbbabacacccbbbbabbbbacccacbabbbcacacbbacccbcbabbbacabcaaacaaabbbbcacbccacccbcacaaabaacacaaaabbcbbbcbbbacabcaacababaccbcaababccacbbbbbcacccbcbcbcccabbbaaccababcbacbcabcaabaaaaaacbaaccbabaaaaacacccbaccaccbcbbabbbcaabacaababcbcaabbabcbccbaaaabacbbacbcbbbbccabacaaccbbcbcbcacbbbbbaabaccbbcaacacbbcbccccbabbcbaaaabababaacaaaccacacbaabacaabaaabbbababbcacaabaabbbcacbaccbbbaacaacaabaccccbabbaaacbbbbbcbbbbaccacccbbccabbaacabcabcbabcacbaaccbabcbbbcaccaccababcbbbbcbbcbcbcbcbbabcaacacaaaabbacbccabaabccbbbcaccaccaabbcbccaaaacabcbbaacbbcbcccbbbaccacaababcbabbabacbcbaaccbccccabcababaaabbbacacccbbcabacbbcbbaccacabbbbcbabacaabbbacaccbabababacaaaacabbaaacccbccccbcaaacccabcbbbaaaaabcaaccbbcccccccacbacbabccbbcbacbcbcabbbbabaaaabbbacccaaacabbaacbabbabbacccbbcbbbacbccacacacccccaccbcbcccaaaccaacbbcbbbabaaabacacbccbacbbcbcaaccbccbcacaaabacaabacababcbcabcbbabcbcbabbbbccabccbcbacbbbacaabacaabaaaacacacabcbbbababcccbcbcabcbacaaaccacaaacccbcbbcaaccaabaaaaaaacaccaaccbacaacbbaabcacaabccaaabcbbbcbccbcabbaaacccabcabbbaccbcbacbccccccabcaabbcccaabacbabbcabbbcbbbbcccababbcbbbcbaaaccbbabcbcbaccbbbcbcbabccccccaccbcbccacaabcbbbbcbccbbccbabcbbabcbbcaacabbcaaabacccccbccaaacacbbbababccabcbaababaacacbccbbccbcbaacbbbcbbaacbcabccbcbabcaccbbbbcbacccaccaccacacaccbcbacbaaabbccacacaabaaaaaaacccbcacacbbccbbabcbccbccbbbbcbbababccbcabbaacccaccbcbabaccbabcaacaccbbabccacbbbabbcbcaabacbcbcaabcbcbaaccbacabccccacabccbaaababbbcbbabaababbbabccccacbaacaaaaccaacbccababaabcacbbaabcbccbacbccabbcccccabbccbbaccabbbcaccabccaabccacccccaaccccbccacbbbccabacbcabbcaacbcbcbbaabacbbbcbaacbccabbaacccbccbacbbaaabcaabacbcbabbaacbbaacacccabcbcbabacbbabcacbccacabccbbbaacacaabacacaccbcabccaacbacbcaaaabccbcabccbacacbbcabbbbbcbbccabcaaaabbccbcbacbcbabccccaacbabcbaaccacbcbcabaaccaacbbaccaabaccbbaccabcabbacccbacbccbabbcbaaccbcbabcbccbcbacaacacaacbccbabaabcbcaccbbabcbabcbabaccaabbcbcbcaabccccabccbaccccccbabccbabaababacccabccccacabbcaabcccbcbccccccabaacacabaccbcaabbabacbbccaaaaababbcccabaccacbbbcacccabaaccaaacaccccaaacabaaabcaccbcbcaacbbcbbbbbaabbcacbbcccbaaaaacaabaaaabbaaaccccbabbbaabaacbbacbaabccaccababaaccbbcaacbbccbcacbbbacbbbacbcacbbaabaccccaacbcabcaabcabccbbcbccbacaaabbbbbbacccaccccbbaaabacbcabcbccaccbabbaccacaabaabccccbaacabacaccbccbbbaccbabacaaabbabcaaccaabcbabaacbcbacbcbacacbcabbcacaacbaabbbbacababcbbacabcbcbbbbccbbbcaccaaaccbbcaaaabbaaaabaccbccbccbbbcbabbacaaccaacacabaccbabbcaacccabccccbccbbcacbcabbbabbaacbbbbbacacbbbcccccabbbbbaaacaccccbccacbcababbbcbaaaccccbcabcaabcbbbaccbacaacaaabcbbbccaabbacacbcbbaaabbbaaabbcbbcbababbcbaaabacabcacbbbbaababaabbccccabbcabcbaacacbbbbcbcbcbbabbcbabacbabbbbcbcabacaaacbbccabbcabbaabcababcacbbaabccccacbaacbcbcabacaacacbacaabababccaabcacbccabbbbacacccacacbcbbbcbbaababbbbaacababcacbbccccbbcbccbccccaccabbaaacbbbbcabcbccbcbaccaabacbbbacaacbaacccbabcacccbcccaabbbabaacbaaabbccaacbbababbcabbcacabcbbacabccacccbcaabcbababcccbaccabbabbbcabaaaaacabbcbbbccabbcbcbcbbaccabcbcaccababcabbccbaabbbbbbccaccccbcaabaacaaabbbcbcbaacacbabcbbcbcaaabcacbacccaccbbcbaabcabbcaaaccbccbbcabccbbbccbbcabccabbccabcbcaaccbbcacccccccccabcbcabaaaabbababcbacacacacbbcabbcaccababacacbbcbcacacbbaacbabbaaccbabccabbbcccbaaabbccacaaaccaaccbacbcaabcaccabcccbbccaab