291073
acbabaabbbbcbbbbbbbbbbcbbacbcbababaabbaaacbcccabbcbbbbbbbababcbbcaacbbbaaaabbcbbbcabbaacbbbbcbbbabbbbaabaacccacaaacbacccccbbcbcababcaaaabbbbcbacabbaabbbbaccccbbccacaabaccbbbbbacbcaaacabbccbaabbabbbcbbacbacbbcbcbaabcbcbbababaacccacbbaabbcaabbbacccabbacaaaccbcbbaaaaaccbbaaabbbbbbbbbcaaaaaaabbabbaabbbbbbbacaaababbccaaccbbacaaaabbcbbaacabbaaababbaacbaccacbbabcabcccaababcaaabbacacbbbbaaacaaabaacbbccbbcbbabbcbabcbbbbabbbbbbbbaccbbaabbabcabbcaacbabaaabbbabbbbbabbbababaccacbbbbababbccbcbcbabccbbcbcbbabcbbbcabccbccbbacbbbccbcbaccacbcabcabcaababbaaabbbbbcabbabaababbbaacbbccbbbaaaabbaacbbcaacbaacbbcbbccbaaaabcbcaaaaaaaaaccabacacabacababababcbbcaabbacbabbcccaaababbaacbbcbbabaabccbabbcbcaaaaaabacabcaaaabaabcacbacbccacbcccaaaaaabaaabbaababbacbbaacabbbbacabbbbbcabbcabbbaccaacacbbaacccacacacbabbcaaccaaaacbbabacbbbbccbccabbacccbbaaabaacbbccabbaaababcacababcbbcbbbbbbbabacbbbccbbaaabbabcbbccbbccabaacaccaacbbcbaacacabbbbbcabbcbbaaccbaacaaabaabbbcaacbaabacbaccaaabcabbaabbbaaababbabcbabbcbbcbaabbacbabcbccccbabbbcacaabaaabbbcbbacbbbbcbcbbaaacbbacbbbbbabbcaacbcccbcbabcbbbbbbaccaccabbbaaabbaabacbbaabbcaabbbbccabcbaaaaacbaaaababbbbbaabbcabcbcaabacacbcbbbbbabcaababccabcabcbbbcbabcabbbaabcabbbccabbbabbcababbbababbbcbcbbbbbbaccaaabbbbbccabaaacbacababbbbaababcabcbaabcabcbccbbcbcaabbbbbaacbacbacaababbaababacbbaaabacbabcccabaaaabbccbbbbabcbcaabbcbbbbaabbbaccabcabbabcbacbababbaaacaaabccabcbacbbabbbcabbbbabacacababbaccbbbbbbabacabccccacbcacaacbbacbcbabbcacbacbaaabbacbccbbbbcacbbaaaaaccbbabbbabcbbcbabaaaacbcbacbbcaccbccbacaccbcbcbbcccbaacaabcbcbbaabbbbcbacaabbbbbcbbcbacabbcbbabcbccbacbcbacbbccabbcabbbabaabababbbbcbbcbbaabaccbbaaaabbaabcacaaacbacbbbcbbbbbbbbaabbabcaabbaabaabacbaaaacbbccbabaabcbbacbcbbbbbcabccabbbcabcbbbcbacbbbbbaccaccbbabcbaabbaccbacbbaacacccbaabbaabbccbbbabbbaccccbbcabcacbbbbcbccbaabbbbbacabaccbccbbabbcbaaabbaabccbbbbabcbaaccabbbacbcbbbabbbbbbbacccccaabbbacabbbacbcccaacabbcabcbaacaabaababbcbccbbabbbabcacaabaccbbbbbabababbbabaabcbababcbcbaccacbcbaacbaaacbcccaaabcbbbbbbbbbccabcaacbbbabcbcbbbacaabbaabbacabbcbbcbccbbbacacbbbcabbaacbaccccbbbbbbcbacbbbbaabaccbabacacbabababbbaaabaabababacbbbabbacbacccccacacaaaacabaacaccabcabacccbacbbcbbccacacbbbaccbbbbbcabaabcbabacbccaabbbabbbcbcbbbbabbabbacabbbbbaaaaabaccbaaacabcbaabbabbbbbabcbaabbbccabbbaabcccbbbccbbacbbbbbbababcbaaabcabbabbcbaabbbbcbcbcbbbccbbbbaabbabbaaacbcacabbbabaabaaacaccaaaaaacbabcbaacabbcbbbbabcbbbcbbacbabcbcbbaabcbacabcbabbabbcbabcbbabbcaaabbbbbbbaabbcaacaaabbccbabaaacbbacabaabcaabccacacaabbbbabbbbbbbbcccbaacbbbbaacbabaccacababbaccbbbababbbabcbbabbbacbcabaacaabbcbccbbaabacbbccbbbbaabbaabbbacabccaabbcabcabbcacababacbbbbacbbaacbbbbbabcbcbbcccbcabbaccacbcaaabcaccaabaaacbaacabcbbbcbbbbabcbbcbccaacbbcbababbaabbbaabbabcbacaababbbcbaabbcbababbcaaccbbaabbaabbbcbababaccbbbcabbbbbbacaccababccaabcbbabbcbbaaaaccaaacbccbcccbabbcbabbcaababbbbcbabcbbcbcbbcbccbcbbbbacaaacabcbbaaababbabbcbbcbacbbbbabbbacbacbbccbbbcbcaaacbccbbccbaacbbbabbbcbbbabcbbbcbabcbaababcbbbbcbcabbcbccbcbbaaabcabbccbacbaabaabbacbabacbcbbbbbbacabcbbcbbbcbcbacbbbaccbabbbcaabcbbbccbcbabaccbaabccaaabbcaababbacacbbcabbaaabcbcbcbabcaabcaccbbcbbbbcacbbabcccbbacbbbbbbbbbacbacaacbabbbbbbabcaaccbbbabbbbabbbbcaacabcbbbbabbaabcccbacabbbcacbcbbbaccabaabbaabbbbbcbbbbbcabcbbbabcbacacbabcbcaaacaaabbabccbbbacaabacbabababacaaacaababcbbababbbbbbbacaaacbbaaabbcbbabbcbcbcababcbbbabcbbabcbbcacabccbbabbaaabcbcbccbbbcabbcabcbbcaabbbcbbbbcbbcbbabcacaccbcbbacaaabbbcccbbabbbbabbcbacababcbababbccabbacbaabaccbbabcaabccbcbbbcbcccbcabcbbaabbbcabbccabaabbbbcbbcaaabaabbbbabcacbbaaccbcbbabbbabbbbacbacbacbbcacacbababbcacabaaabbbbcaacbcacbbabbabbaaababbbababbaabbaaaabbcaabacbbcaabbcbcbacbaacbcabbaccbabaabbcabbabbabcccaaccbaababccbccabbcabbbcccccaabbaabababbabaabaacbabbbaccbbcbcaaccaacccbbbcaababcaacbbbbaababbbbcbcabcbaaccbababbaaccacabababbbacbababbcbaacaabcaaacaccbbababbbaacbcaaaababcacaccbabcbccbcabababbbbcbbabcbbbbbabcbccabbbbaabbbabcbacabbbbcbacbbcbccbcbbcbbaaccbbbabbaacbacbbbbacbcabbcaaabbababcacbaaabbaabaabbabcbabcbabbacbcbbaabcabaaababccbaacbcbbcbabbabcbbbabaccbbaabbcbccbcbbabcbaabbbbbabaaabccbcabbbacbbbbbbabbbcbabbacbbabccaccccbbbacbbbbbcaaccabbbcacbacbbabbbacaabcbacbabbaabbbaccaaacbbbbcccababcabcbbbbabaabcccabaaaccbbaacabcaaababbbacbaaccbbbbacbcbbbabbbbccbabcacbbcaacaacbabbcabcabcbbbccaabcccbbaabbcbbabbccbcabacbbbacaccbbaacacbcccccbacabbaacbccaacbcbcbccabbbbbbbaabbcbabbbbbabbbaaabbbbabcbbbaaabbabbbbacaabbacbbabacbbbcbcbaabbbbababbcbaabbbacabaaaaaaccacaccbbbacbbcaacbbbcabccccaabaacbababbcabbbbabcabbbcbabacabbcbcbaacacbbccbbabbbcabbcaabccbbbaacbabcbcbbbaacbbabbbcbacccbacaabbbbcbbbbbbbbcbbbaacabcbbcbcbacacbbbabcabbabbbacacbbabcbbbbbccaabbabbbcaccaabbcaaabcbcacbaabbacaaabacbcbccbcbabcababbaabaaabbcbbcccacbabccccbbbcaababacbcbababbcaccccabaabccaaccbbabbacaabacacbabbbababbbaccccabcccaccaabacccbcccbcacabcbbcbbabcaaabcabcaabaaacccbabbbbcbbacbbbaabccaccbbababcbbabcbcaccbbabbabaaababbcbacccbbbcbbbbaacbbaabbbbcaacbacacabcbbcabacabbabbbbabcbbbabbbcabaaabaaabbaabbbcbabbacbbbbbabcbabcbaaaabbcbbbcbbbaccacbaabbcbcabcacaabbbbcbbbabcbbaabcbabbcccbcaaabbabbbabbbbbbbabbccaaaaababccbacacaaabcbcbaccccbcacbacbabcaaabbaabbaaabcaabababbccccbbbbbbbaaccbacbbcaabcaaaabbbacbabbbaaaccccbbbacbbbbbcbaaaaaabcbaabaaaabcbbbbbabaaaababaccaacbbcabcaaaaaaacbbabaaaabbaabccccabbbbbabbbababacbbaaabaccabccabbacabaacbbbbbbbcbcacbcacbbccabcbbaabcbbabbcaabbccacabcbcaabccbbbcbbabbcbcaaccbbbbbccccbbacbbbcbacccbaabababcbabbbabcabcbccbabbbccbbbbaaccbaccbbccccaabbbbbcabbbcbababacbbaccabbccbbbabbbbbcbbbbbbcbabbabbcbaaaabbaaaccbcababcaababcaabcbbcbbacabcaababaababaabaabacbacccbabacbaacbbbbccabbcbacbbbbabaabbcbabcbaacaaaaaacaabababcbabcaaaaaaababbbabaaabbbcbbababcbbaacaabcaabcaacabcbbbbacbcbcaaacbbabbbbbbbbcbbabcbcccbbbbbaccbccbccbaaaaaababacaaacbcabbbbcbcabaaaaacabbabbbbacbccbaacbbccccabbacbcabbbcbaaabaabbbbbbcbababbbbcacbbabbbabbaccbbaacbbbaacbbbbccaababbaabacbbcccbcaccbbbccbcccbbaaaabbcbabcbbabcbaaccaaababbbcaaabcbbaabbabbcbaabbcbbbcbabbbbcbbababbaaaabbcacbbaaaaccaabbaabbaaabbbcababbaababbcacbbbbbbcbbbcbbbaabbbcbabccacabbbcccbcbbcbbcccbcbbacbacbcabcbcbbbaabaabaababababbabbbbcbababcbabcbbacabbaaccacabbaabaaabaccbacabcbccbbbbcccaababcbcbbabacbbbbbacbbbabcccccccacccabbbaabbacbabbbcbcbabcbcbabbacbabbbccbcaabbcaabbbcbbabacbabcccaabbabbbbbbabbbcaacbbbbcbabbbbbaabaccccccbcaccacbacbbabbbaccbcaabbcaabbbbccbcbbbccaacbaabbcbaccbccabccacbbbabaaaaabccbcbcbbccbaabbbabacbabbaabbacbbcabbbabbcaaaaabbcaaccbaaababaccbacacaaabcccbaaccbabacabcaabaaccccabaabbbbbcabcabaccabbaabcbacccaccabaacbbbbcbbccabbbcababcbcbaaabbbaaccbacbbbababaabccaaaaaabcbacccaabbaaccbaaaaaaacbbaaccbababcabbaabbbabbbabcaababbbcbbaabacbabbcbabaaacaaabaccabccababcacbaabaaccaabbbcbaccccccaaaabaccabbbabacbbcabccaacbacbacbbabcbbbbaabbcbcbbaacccacacabcabbbcbbccabcbcacabaaabcbbaabbaabcbbcabcbacaaabcacaabaccbabacaacbabbbabacbcccabbbabbabbacbaaabbbbccbbabcbbbacbcbbabcbaaabbabacbbbcacabbbcbaaaccacbcccbbabababccbbabcbccacaaacbbbbacbcbbaabcbcaabbcccbbbbbccbababacbbcbccbababbcaccabacacabbbcbccbabbcbbacccabbccaacbacabbbbcbcbabbccbcacbacbbbabcbbbbbacaabcbbbcaaaccbccbbcabbbcaacbabcbbacbacbbccbbcbbcbbbcbcbbabcccabcaaabbcabacababcbacbbababaabaabbaabbbcccbabbcabbcbcabbaacbaabccbccccbcbbbcabbbbbabbaabbbcabcccaaccabbbbccaabbaabacbbaabaabbccaabaabbbaabcbbbbabbacbbabbaabababbbbbbabccabbcabcbabcabbbbbbaabcaacabcbbbbacccbaabababbbaabbbbbbbbaccacaaaabacabbbacbcbbbcaabbbbbcabbabbbcbcacbbccbbacbababbaaaabbbcacababaacbabaaababaaacbccbbcacbcbbaabbcccabbbbbbcaabbcbcbacbcbacabbabcbbcabacbbacababccbabaccaacbbccccbbbacbbbbcbbbcaabbaacbacbbbcbcaccacbcaabcaacabbacabacabbaccbbbaccbbaacbcbaccbababbaaaccbbccccbababbbcbbbabcabbbbcbccaabacabaaabcbbababcbabbbaaabbcbbaacbbbbbaccacbabbcbcabbbbabbabaaaaaababaaabaabaaabcaababaaababbccabcabcbbaacbaaabcacabccbababccaabcbabbabbbabcabbcacbbcbcbaaabccaaaaaabbcaaabbbbbcbcbaacbbcacbcabbaccabcabaaacbbbcaacbabbabbaabbaabbbccabbbccabacaacbabbbbacbbbbcabbcabaabcabbbbcbbaaacbaabbacbbaaacaacabbbbabbaabcabaaccbaabaabaababbcccbbaabbbcbcbabbccacbbcbcaabccbaabaccacabbbccacbabbbaaaaacbbababbbccabaaaaaaababbbcbcababcccbcaaabcbcbcbcbccaaacacbacbccaccabacaaaabbbcbabcbcbbbaacccbcbcababbbabcccbacbabcabacbbababbbaaaccabaabcababccacaccaacbccbaccbaccbcbcbabcabaaabcabbbababbbacaccbaabbbbcbbabcbbbabbacbcbabbabbbaabcbabbaaacacbcbbaaabbabbbaccbbbabbcbbbbababbcbabacbbcaacabbbbaaababbabbbaacacacbabaccaaababcbaabcbbcaaaabbababbbababbbbabccbbcbcbaccacbabccababbbbbabacaccbcbbbbbabaaaacabbbaabbbcbbbbbbcabbabcababcbacbaaccbbbababbccaabbaaaabababaabbababcbaacbcbbbaacabacacccccaabbbbaacbcbcbbabbbbbbbbabbbbaccabacabbbbbaccbccaabaabccbcbacbccabbbbbbbaaaacbababcbacbabacabbababbbbacaaaabcaccbbbbcaaabbabbccaabbcbcbbabccabcbccaccbccbbbbabbbbbcbbaacbcbbcabaaaabcbababbbababcabbababbcabbbabaabbbcbabacabcabcbacabcabbcbccaacbbcbcbabbaabcabcababccbccacbbaccbbabbcaabaababaabbabbabacbaabacabcbcbbabbcbaacbaaabcbbbbababbbbccabacaaaacacacbabbbabacbbabcacbbcaaccabacbcacbaaabcaabbbccbaabaabcbbbabbcbccbcabbbbbbaaabcaacabcaacccbcabaababcbacacbcabaabbbbaacbaabcababbacbaacbbacaacbbbccbabbcbbbbcaabbbaacacabbbbbbbabababcbbbcccbbbccbbbbaaababaccaaacaabbbbcbbcbacbabaabbcabbbaaabcaababbbabbbabbaabbccbaccbbbbcacbccbabcbcbbcbbccaccbbcbbaabbcbcbbbacabbbaabacabaaaabccaaacbacbbaacabbbbabbbccaabacbaccbabbbbbabcbccbabaabaabbbcaabaacabaacabacbbaacabbcccbbacbbbbabcbccaccbcbbcbbaacbccbaabbcabbabbbcccacaaababbbabcbabcaacbbbaaaababbbcacbbbbbcbacbbbbbbbbbacbbabbbabcbcbbbabcabbbcbbbbaacbbabbbccabbbabbcbacccbbabaccbabccbabcacaabccabbaaabcabbbbabbaccbabbbaababcababbabbcabbabaabbabcabbbbcabbabbbabbbbcbbcbbbacbbaaaabbbbcbcbabbbaabbcacbcbacbcbbbcaaabbabbcacababababaacbbcbbbacbcbacbcbcbcbacabacccaccbabbcabcaacbbbbbbbbbbbabccababaabbaccacacbaabbccbbcbabaababababbaabacbbaabcabaaaaabbcbaccccbbbbaabccccabbbabcaccbaacbbbaacababbbaabcbbbbbaacccccbbabaccabcacababbcacbaabbaabaacbabbbaabcababbbabaabcbacbaabbabbabbcbbcaabaccabcabbcbbbbbcbcbcccabcacbabccbbcababbbacabbbbabbbcbccabaccaaaabccbbbabbbbbaaccbbbbabbacbbbbbbbbcacccbbbacaacbaabbbababbbabbbbacaaaccbbbcaabbbbcaabcaabacaabbcaccabbbcaacaaabbbacbcbbbbbaabbbacabbababababbbacbbaacaccaabcbabbcbbacaaaabbbcaacbabbbcccbabbacaabbaaabaccbaaabaababcbbaabcbabbbcbcbbbbabcbaaacabbbcbacabcbaabccbacabaaabcabccabbbbabbbabbccbacbbbaaaacaaccaaaaacbaacaabbabbbbbbbcacabbbabbcbbabcbbaabbabcbbabaababbabbccbacbcacbcaaaaacbbbabaabbaaaabbbccabbbbabbbaaacabcabcabbaccbbbbcaabaaacbbcacaabbcbabbaacbcbbbbaaacbbbbaabbbbbbcbbbabbcbccbaabbcbabbbbbbbbaabbbbbbcaababbbbbbbbabcaccbbbbbccacbcbbbaccabbabababbbbbabbccbccbbcbbbccbabbbababcacbbabcaacbcababbbaabcbcbbbababacacbcacbabcacaccbaaacbaabcabbcbbbcbbacacbccbacbabcbaaaaabbbccbacabbabbbaaacbbbbacaabbbaaabcbbbbbcbaabacbbccabbabcaabacaaacbabbbcbbbbacabcccbbcabbacacbaaacaaacaaabbbacabbbcbabbbbaabccbacaaaccabcbbbababbbabbccbcbbbbcbbbbabbcbaacababbbcbcacbbbcbbbbacacbabbcbaaacbbccaaaabbbcbbccbbabbbcbbbccbaccccacacaacaaaabbcabcabbabcbccbbacabbbcabbababacbbabccabbbccbbcaaabacacbcccbacbabbaaaaaacbbacbaaaaacabbcabababbbccbbbbaabaaaacbcabccabbcabbbbbcbacacabaccbacbcbcabccacccbcbbbbbbccaabaacbbbacacbbbaabacbcaabbbbbbabbabcbbcbbcacaabbcbcbbabaabbcacbcbbbbbcabacbcaaababbbbbbbcbbbcababaacaaabaaabcbcaaaabbbabbcabababaaaacabbabbbbaaccacababccbababbacbcbbababcbbbbcabaababbacbababcbbbbabbbbbbbcabbbcccabbcabbabcabacbbccaabaabccbbbbababacbcbaccabaccbbbaacbccbcacbccaabbabccaccbbaaaababacbaccabbbbbbaabbbccccacaaaaaacbbabbbacaabaababccbcabbabaacbaacccbccbbbcbbbabbbbaabbbabcbaabbccccaabaaaccbaccacbaaaacabbcaaaccbbbbcbacbbacbbbbaabaaabbccccbbabbbabbababbbbcbabbacaaabacbbbbbbbbaaabbbacacbcabbbbbbaacacccbbbaacbbbbabaccaabbacbbbbaacbbcccabbbbabbbbbccbbaabbcaabacaaabbcaacabbabcaaaaccabcbbbaaabbaccabccbababcbabcbbabababbbaabbaaabbbbbbcaabbcbcccccbcbabababbbbabcaaccbbccbbabbbbabcbbbbbababbbaccbbabaaacaaacccbccabbbacbabbbbabbaaaabacbcbcbacbcaababaaccbbcbcaacccbccacbbacaabbaabbccbbbbbaabcbabbcabbacabacbaabbabbabbbbaabbbbbbaabaabcbccbabccaaabbcbbbaababcbcbcccbaaabbbbabbacabbaabcbcbaabcbbcbacccbacccabacbabcacccbcacbbabaabacabcaaabbbbbbcbccacabaabbaaabbbacbbcbbaaaaaabbcbacbbaabccbcbbacbbcbbaacbaacbbaabaacbaaccaababbaacacaccaabbcabcbaaabcacabbcccbaabcabaabbbbbaabbbaabbcbbaabcbacabacbcbcacbaaaabbccabbabcccbccaccbbbbbaaababbbbcbacaaccaaabbcbbcaccbbbbccabbbaaabaaabccbbbbabcbbbccbabbcabbabbbbbbcaababbccbacaaccbababcbbbcabacbabbcabbacbccacccaccbabababbcabbbbcbabbbcbabbbcbcaabbabcabaccacabacccbbbccbbaaabbbababbcabbbcbbacacacabacaccacabbbbaaccacbacbabaccbcabaaacbbbaacbacabbabbbcbbbcbaacabbbcbcaccbbbbbbababbbbbbbbcbabcbacbbccabbaacbcbcbbacccccaacbcaaacacbbcbbbbaaabccbccccacccabbcbbabbaaaabacabbbbbbcbabaaabacbabbabacaaacabcaabaaccbcababcbaaaaacbcbbbccbbabbacbcbcccbcabbcbabbabbaccabccbabbbbacabbabbcbbbacaacbbbcacccabaabcaabacaccbbabaaabcbbcaacbacbbaabacbaaabababacbbbbababaaabacbccbccccccbbbabcaabaaaaccbcaacbbabaabbcbacccaccaabccccccbaabbbbbacababcabbbcbacbbababcaaaacbbacbabaaaccacbbbcacbbbabbbcabbbcbcbbbacbccbcabbbaacabbcbbbabaabbbabbbcbabbabbbbbbbbbcabaaabacbababbabbabaabbbabbbaccbcbbbbabbbaaaacbabacabbbbcbcaaccbbabcababbbbabaaabbbcabcbcbababbaabcbbacbccccaaacbbabaaabccabbababbbbbacccbbaabccabaababacbabcabababaabbabacabbacbccacccbbbabaacaacaababcbbbacacbabaabcbbcbbccabcababbabcbbbcabbaaabababaaacbcacbcacaabbabbbcacbbaccaabaaccabbbcaaccaababbacbabbcbbbcacbabaababaaababbaabaacabcaabccabbaabbbcbacbbbaccabacabcbaaaabbabbbbbcbabcccaccabacbcbbacabaabbababbabccbaaabababbbbbbcccbbbaaabbbcaacbaabbbababaacbbbbcaabababaaccbbcacbabcbbbaccbcaaacbccabcbbbbcbaaaacbbcbabcacccbbbaacbaaabbcbaaaabcbcaababbbbcbaaccbaccbccbbcccbbbaaaabcaccbbcbbaabbccccbbbcbabaaaaaabbaabcbabbbbbaaaccccacacbbbacbbaacbbaaaccbaaababcabbaabbbbcbbabacccbacbbcbacccbbbababaaacbcbcaaabababacaacaabcccacaaacbcabaaabaaaaccbabbacbbbabcbbacaabcaaaabbcabccaabbbbabacbbacaccbaabaacbaacbaabbbbacabbcaabcbbcbccabababbabccbcaaabcbcbbabbbcbaacaabbabbbcbabaaccabbcabaabccaababbbbbabbbbbbbbbabbbbabbbbbbbbbabcbbbcbbacbabaacaabcababbcbcabbaaabaaabccbcbbbacaabbbbabaaaaababaaacaaaaabbbcaababaabaaabcaaabcbaaabbababaabcababbbaaaaabbcbbcbbbabcbcaacabccaaaabbbaaababbcccbbabbaacbccaabacbbabcaacccbcacaabbbcacaccaaabbcbabbbaccabbbbcabbbacbcaacababcbcaabbabccababcacbaabbabbaabbcbbcabbbbabaaacaccbacbbabcacaababccbbabbcabbbaabcbbabbbcaaaabacabbccabccbbabbaaaccbcbaccabcbbbabbacabbcabbbbabaacbccbaabcbbababcaabbcaabbabccaacabbbbbcbaacaabbccbbcbbabacbbcacabcbaaabbcbabcaabbabacccabaacbbcbbbabbbccabcbbabaacbcacbbbabacbcbaacccbcbabbbbabbabbaaaaaabbbbabbcbbcabbbbaabbbabcabbbbcbacabacaababbabbccbaaacbbbbabababcbbcaccbbbacbbaabaacabbbaccacbcbbaaacbbacbaaabbcbcbbaaacbbabbbbbbaaabbabbabcacccabcbbbcabbcaccccbccbbaccbcabaaaccabbababbabbcabcbccacbaaabbacabcccabcabbccbaaaccbbbabbbababbbcabbccbbaabccbccbacbacbbcbacccaacbabcbbbbcbaabbbbabaacbcbbcbbcabbacccbaabccabaabaacbabaabbbaabbaaabbccbcacacabbbabbaabaaabcabbacbbbbcacbbccacbbabababaabbababbcaabbbbbabacbcbcbabbabaaabccbaccabcbcbbbbbccaccbcbbaaabbabcbbbacabbbccaabbbbababbcbacbabbbbcbbbbccaabbbbbcbabcaacbbbccaccbcbacacccbbbbbcacacbabcbabbcaababbccbbaabacababcabababaabaaaabbbabaaccbbcaaabbbbcabaabbbbbbcacccbcbabcabbabaabbcabbbcbabcabbbcbaacabcabbcaccbbccbcaccaabaacabacbbbbccbbbbabbbaabcbbacbbbaaabbacbabbbacacbcbcbaacaaaacbcbaabaaaaaabbcbaaabbcaabbbbbcbaacbbbbbbabbccbbbcabbcbbcbbababcacbcbbcbbbccbaacbbcbbbcbacbacabbbbbbabbaaaacbbbbbabaaababbbabaaabababaabcacacbbbabccaaacacbabbacabcaaccbbcbaacbbbabbcababbbabbbcaccbcccaccccabbbbcbcabcbcbabcaaabccaabcbbccbaacbaacbcbacbbabacbcbcbababbccaababcaabcbbcbbcbabaaaacababcaacabaacabccbcacaabaccbbababaacbbbabaabcbbabbbaacbacccbbbbabbaaababaaaacabbacbcbbcbbbcbbaaabbcbabbacaabbcbbabaaaacaaaacbbabbbbbababaaabbbcbcbbbcccbbabbbacccbcbabbbbcabcabcbbbaaabaccacbccbbbaabbcaabcbbcaccaabacbbabcbbbbcabcaababacbabaabbbcbbbacacbbaabbbacbabbbbacbacccbcabacbcbbbcbccabbabbcabbbbbbcbcbabbbbbabcbbbbacbcccaabacaabaaccbccbbbbbbbbbacbbbabbacabbbccbcbcbabcbaababaacababaaccbcbccbccacaaaaaacbacbbaacaacaacbabacbcaccbaaacabbcbabbbcabbacaccbbababaccabbcaabcabbbccbbbaccaabbbcaaabbccbaabcabbaabbbbcaacbababacbaaccccabbcbacbaaabbabbbcbcbbababaabcbccabacaaabcacbbabaabaabbcacabcbccbbbcbbabbaabaabcbcbccabbbabbbbbaabbbbaabbababbbbbbacbabaabbabbbbabcaabbabbbabbaaaaaccacbaaabccabaaaacbccbacbbbbccbbccbababcaccaabcbabbacacbbcbbbccacbaacbbbbccaccbbcbbabbaacccbcbaababaabbabcbabcbabbbbccbabcacbbbbcaaaabcbabbacbccbbacbacbbabcbcaaaaabbabacbcacbabbbaacbbccaabcbccacbcabacbbccbbcababaabbcabbcbcbabaaabacbbbbcccaabccacacccbbbbbbcbbabbcbbbcaabacaaababbbbacbcbbacabbaccaacaabbbbbbaaababcbbbbabccbbccbbaacbcacacbcabbccbcacbcbaacabbcabbbbcccabcbabbacbbbbbccbbbbaacbcbbacacbaaabbaabcacbababbbabbabbcbbacbabbcaaabcbacabbacaabbbbbaccabbaaaabaaacbbacbabcbbabbbbbccacacabbbbbacbabbbbbcbababcbaabaccbbaaaaabaccbaacccaabbabcbcaabcbabaaaaaacccacbbbcbbbcbbbabaccbcbcabcbbcbcbcbcbcabcbbabcacaabacaccbcbbcbaaccbcabbabcaccbcbbbacabcbacbcabbaccbbabbabaaaacacababaaaaaccbaabbabcaabbabaccbbbbbbabcbbababbaaaabccbbacbbbabccbaaacbcbaabaccabbbcacbbbcababbaabacaaaabcabbaabbbbbaaabacbcbbcbbaabaacbbbcbcacbcababbbcbbbcacabbababccababacaacbbacabaaababbacababbacbaabccbbbacbbbbbccbccbbccabacabbbbcaabcbcbabbcbababbcbbbcaaabcbbabbbcaacababcacbbbcbccbbacbccbcabaababccbcaabcbcbabbbbabbcabbaaaaaaabbbbaccbbbcbbacbabaabcbbaaacacbabbacaaabacccbcbabacacbcbcbbcabbabcbcacbbbcabbbbaccbbabaccbbababbcbcababcbbbacccbaaacbcbbbbbaaacaccbababbaacabacbabbaccabacbaaaccaababbbcabbcbcaaaabbbbbbcacabbbabbaacbaabbbaabbaaaccababbccbccbbabcbbbcbabbcabaabaaaccbcccccbbbacbacaccbbbababbcbabbaaccbbbbbaaabbbcbbbbabbbababacbaabccccbcaabccbbbbcbcacbbccabcbcabbabcaacbcabacbccaccbbaabacbacacabbcbbababababbabbbacbbcbacbbaaababbabacbbbcbabaabccbccbaabbbbbbbabbabbababcbabbaabaacbbbaaccbcbbabaababababbbbbcbbbcacabbaabaababacbbbbcbabcaabbbaabcaacbcbaabbbbacbcbaaacacbbcbcabaaabbaacabcaaabcaacacbcacbcbcaaccbabbacababcccaacaabacaaabcbcbcbabababaaabbaaccbabaababcbabbcbabbcabaaaccccbcacaaccaaabccbabbacccaaaabcabbaabbaabacccacbbbbcbbabcabacbcbabaabcababacacaabbabcccbaabbbacbababbbcbbbcbaaabbbaaabcbacccbacbacaababbaabbbbcaccacabbccbbbbcbbbbcccbbbabcbbabcbbcccccbacacabcbacbaabbcabaabbbabbbbcccbbcbbccaabcbaaccbcababcaacabacacbbcbbabcbbcabaabcbaabbabaacbbbaacabcbabbbbaababbbbcbaccaabaabccaacabcabbaabcbabbbcbbbccababaccbbcbabbaabccbbbcbcbbcbbcbaacbbabbcbbcbbbbbcbbabcbaabbbabcccbbccbbacabbacabcaabcbcaabbbcabaaaccbcabbbacbcbcabcaabcbbbaabcbbcacbaacbacbabbaaabababaabbbbaabbabbaabacbcbbacacbbbbbcbacbbcbacbcaaccbacbbaccaabbaccccaccababcbbccccbbbccbabbbacbbcbbacbabcbbbbbbabbabbbbbababbbaaabbabcbcbbabcbacbbcbbbcbbacbbcbbbccaccacaaacbbcbcaaabcbbbbbbcbbcbabbcbaabcbbbbcaabbbabacbaaacacabacacbbcabaccbabcbcbbcccbbacabaaacbaaaabbbaaabbbbcabacbccabaaacbbabbbbaabbbbcbbcacbacbaabacbacacbbbaccaaabcabaacabaccababbabbbbbaaacacaabbbccbabbbccaabcabbbcaacaabbbaabccccbbacccbbabbbabaacabbbaababbbbcbcacacabbacccacabaccbcbcbbccaaccccacacbbcaccabcbacbbbbcbcbbccacacbccbaaabbaabaabbabbbbbbcbaabbcbbabbbbbcbbabcbbaacabbbacbaabbabbaabbbcbbcaacabacbbccababbbbabbcbbccbbbbcbaaccbabcbbacbbacbaacbcaccbbbbabcaabbcbbcbbcbcbbcabbcaccabbaabaaababaacacbabcbbbbbbcabbbbbabcaaababacbaaabaabbcbbbaaaacccacaaababcbbbabbbabbabbbccccbaaacbbbbacbcabbacaabbaaabbbcaaaabbcbcababcbcbbbbabcaacbbcabcbbcbaaaccccccbaaaaabbacabbbabbcabacbbcbabcaaabbbbbbbbbabbabaabbcaabbaaacbacbbbaccacbbacbabbbbbcabcbbaaacbbbabccbbbbccccbcacbbabbabcbaabacbbbbabcaccbaaaccbcbbbbababcbbcbacbacbbbaabacbbbbbbccabbabcbbbcacbbbabbbacabcccabacabbbaabbbbbcccbcbbccaacbbcccbaccacccabcbcccabbababbbbccbbbababbabcacacabcabababbccaaccacabbabbbccbbababccabaababbaabbaccbbbabaabbbaabbbbabaabbbcbbaabacbabbacbacabbcacabccbbbaaccbcabbaabbbbcbabcccaccbbbcaacacccbbbcbccbaccbbaaaaccbccbabbbaacbcababacccbababbcbabbbbbbbbbaaacbbabbccbbcacaabbcbbbcaabcbacabbabbabcaccbcbbbabbaaaacabbbbbbcbbbabbcabaaabcacbbbcbbabcbbaababcbbccbbabcabbbbaabacbabcaacbbbcbbabcbababcbbaaaabbbcaaababbbccbbababccacabababcbcabaaccabbbbbbcccabcaabbbbacacbbabbcabbbacacaabbbbbbbbcbaacabcbaabcaabbabcabbcbabcbaacaccbabaaabbababbbbbbcbbaaccaaabcbbbcbbcabaabbbcaabcabbccababaaaabacacabbaabacabbaabbbabbbbbccabcbbbcaacbbbacabbcbcbcbbcbcbbcbacacbaabcabcbbabaabbbcabacbcccbbbbbacbabacbbbccbbabbbabbcbbaccbbbbbbbabcabacaababaacbcbccabbbbabaabaaccacbbaacaacbaccabacabbbbbcabcabccabcbbabcbaaabbbbcabcccbaaccccbbccacabcacbabccabcbcbcbbabccbcbbccbaabbaabbccccbabbbbbcacbcbbacbbbcbaaaabbbaabbbabccaaacababbcbcbcbabcccbabccccbbacbccababbcbbcaabcabbbbaacbacbababbaaaabcacbabcbbbacbaacabbcccabbbbbbbcbbbaaaccbbbaabbcabaababbbbbcbbabababbbbcacaabbaacbbbbcaaabbbbbacbabbcbaabababaaaacaabcbcbbbaabbacaaabbbbbcabcbbabcaabccbaacbaabaabbbccacabbaaccbaacbaabbbacabbbabcabaacacbaaccbcbaaaaaabbbcbbbbbbbbccababbaaaaababcaabaacabbcbbababaccbbaabbaaaacbacbcbcacaccbabcacbcbbbaabcababccaabbbbbbabaabaaabbabbaaacaccccabcacaccbabaabbcbcbabacaaabcbacacaaabbbaaabcccbaccbbbabbaccbacccaabbabbbbabaabcbbbcbabbbcbbabbabcccbbacabcbcbbabbbaaacccbaccabcabbaabcbbcbcaaaacaabbaccbccacccabcbcabbcaaabaaacabbccababaccaabcccabbcaabbabcacbabbabbabaacbaacbbbbbbbaaaaacbabbcbabbbccbabcabcacbbaaaababcbacabcbbababbabaccbbccbabcccccbacabbbbabaabbbbbacbbaababaacbbcbaaacbbccacbbbbaabbcabcbcbaabbaabbacbcacababbbcababbbacbbaacaabbbbbcbaaacbbaacbabaabccbcacbccbaaabcaabcacbabaaabbbabbbccbcbcabbaabccbabbbbabcacbbcabbbbbcaababcbbbcbcaabaabacabccbbbbcabaaabaccbabcaccaaabaacabcbccabaacbabcaacccacbbcbaaabacbaabbbbbabbbacbcbacacbcbabbaaababbbabbccacbbbbcbaabaccbaaacbcabbbcabbbaababbcbbbbbbabcacbcbabcabbabcbaabacbaabbccbaabbbcaabcabcccbbbbabbbcabaabcccbccacbcbccbbcabbbbcabccbbcbbbcabbbbbbbbcbbabaabbbaacaabaaabbbbbcbbbbcbbabbbbbbacabbaaaacabacbabaaababcbbbbbcbbbbabaabbcbcbbaabacacbcbabbcaabbccbbaacbbbbbbbbaabbaccabaacacbbbaaabcbaaabcabbbbbacaabbcbbabccbacbcaaacbcaccccacbccbbcbbbbbccabcbcccbacbbcbbbbbbbabaaacbababcccbbcaabbcbabbcaabbcbaaccbbcabcbbcbcccacbbbcaabcbbbcbbabbabcbacbbbbabbbaabbcacbbbcbbbbababacbacaaabbcbcbbbbcbccbacbcbcbcbbabccaacbbacacbbbabbccccbbacccbcbbcacbcbbbabbcaacbaabcbccababcbbbabacabacbbcbccbcbbababbacabbbbbcbbaaabccbabbcbacbbbbaacaacbbcccabbbbaabbacaaaccccbbaacabbbbbbcacaaabbbabaacabbcbbcbcababbbbbbababbbbbabaaaaabcbcbbabbbcbccaaaabaabbbaaaaaccbbbbbcbacbaaacbacbbbbbaabbcbbcbbbbbabbbcbbbcccbbbbbabbcbcbaacababbbbbccbbccaabcbbbacbacaabcbaabcbbabcbbbbabbbcbbbbcbaccabcabccbabbabbcaacaaccaacbabcaaabcbbbbcbabcbccaacbaccaaabcababcbaaacbababbbaaaabbbcbabaaaaaccbacbbbcbbbbcbbbabbccabbaabaacbbaacbcbcabbbbababaaaaaacacbbabbbbbabbaaabbbbabcacaabacbbbbbaaabbabccacccbbbabcbabcbabbcaabcbbbcbbcbabccbbbbacbcbaabbabbbbabacbacbbacbccabacccabcabbabbbbaaccbcabbacbcbbcbbbbabbccbbcbaaaaccaaccbcbbbbacaccabcaaccbbbaaaaabbbacaaabaaabcbaaaabbbabbbbbabcbaabbbbabababaababbbbbbcbacbcbccbabababacbbaaabbcbbcbacbaacccbbaaccbabababaaaabcbcbbbbbcbcbbababbacbccabcaccaaacbbabcabbbbbbababbcabbbbcbcbbbbbcbaabcbbcacaccbabbcbabcbbcaaaaacacbcbabbbbcaccbabacbbbcbaabbabacbabbbbaabbaacababccccaabbbbcacbcbbacabacbbcacccbbbcacbcaccbbbccbbaccccbacbbcbaabbacbbbbcbbacbaabababbabbccbaabbacacbaabcbaabbbcbbaabcabcabbbcccabaabbbabcabbbbcabbcababcbcbbcccacabbbbacaccbbaaacaabcbaabbbacbbcabaccbbbababcccbbaaabbbbabcbcacbabbbabbcbbaccbcbacbbaaababcacccbabababbbacbbcbbbbbcbbabacbcbcabaccacaabababbaacbbbabbbaabcababccbcabcbcbabaaabcacccccbbbbacccabbbcabccccbacbabcbacccabababbaabaaaabcbabababbbacbbbcaaabccabacbabbababaaabbabbccaaabcbbbbabcabaabbaccababcbcaabaacbabababaabbbcbcccababcbaacaaabbacbcccbbabbabcabaccbaaccbcbcbbbbbbbbbcacbbcaabababbbbbbbbabbabbabbcbbbcaacababbababbbcbbbcbabbbaacbcbabbcbabbbcbcaaacbaabbbbabbcaaabbacaaacabaabcaaabaacacbbaccbccbaabacbacbbbbcaabcbaabccaacacbbbcbcbbbbbaacbcababacabcacbacbbbacabbbbabbbaaabccbbaaaaaaababbcbbaaccccbcbcbbbbcbcbbaacaabbacaaacaabbbbaaccabbbabcabcbbcbaacbccbbaccbbccccccbcbbbbbbcbbbcacbbabcaabcabccabaacabbbbabacbaabbcbcbbabcaacccabbabbabbababcbbabbacccabacbbbabcabcabbcbbacbbaacbcaaccbbaacaacbbbaabcaaababcaabbbbacbbabbbcbccababcaacabbbcaacbbacbbabbabbbbbcbbbacabaaabbccbcaabcbcacabbbbbaabbbbcbacacbcbbccbabbabccaaaabccbcbaabbaabbbabaabacaccabbcbcabcabcbacbbbbbbbbbbbccbccababcbcaaaabaaababccbababbaabbbcaacababbaabbaabbbbbbbcabbcabaaaaabbacbbbcabaaaccbcbacaaaabcaccbbababaaabbaabccbabaacbccbccbbcacabbbbbcccabbcbbbababbbbccaccbaabbbccbcbbbbaabacbabcbcbbbabcbcbcbbbbcababbbbcbbaaabccbacbbbccccabaabcbbabbacabbbbccabbbbbababbbcbaccaacbbbbabaababbbaabbacacabcacbccaccabaacbbcaaabbbabcbcbbbcbbbbaabbbcacbacaccccccaaaabacaccacccabcbaabbbcaaaabcababbaacaccbbabbbaacbaacbbbcacbbcbbabccbabbbcbaabbcbbbbbcabbcbabbbbbabbcbccbaababacbcabbabacbabaaabaaabbaaccacbabbabaabcbbacbababbcbbbcbbbacabbccabcccaabaaaacbcaacbabcbbabbbbababbbbaccacabbcbaacabbbbcbbcbccaacaacbcbbaabaabbbbacbbaccccbcabbbcbbbabaccbcbbbabbcaccbbbcbbbcbbbccaaabcabaabababaacbccbabaabcbabccabaacbbabbcabbaccbbacabaaabaabcacacbbbbaaababaaccbabcbcbbabbbcababccaaaaaaababaabababababacbcabbbacccbbcbacacabaabbbbbbaababcabbbbacbccbccabbabbbbbcccbbaaabcccbbbbabbbcbaabbccabacacbbcbccbbbbbaccbbabbcbabaccbaababbbbcaccbbbbaaabbbbabcabbaabaacbacbcbabcaaacbbcbabbbbcaaabbaccbaaaabacacbbbcccbbcccbbabbcaaabbacbbbbabccaccbbbbbabacaaaabcbaabacbccbbbcaacbbbacbaaabaaaabbabccbabbcbbcabacccbacbcabccaabccbbcbbabaabbabbbabacbcbababcbbabbbbabcabbbabbaaabbbcbbaacbbbbcabbbbbaabaccbbcbbcabbcbbaccabccbccbbbabbabcbbbcbacbcacacbaaacbbbbabababccacaabacbbbaabaababccaaabcbccccbcbbcbbbccbbbbcabcbaabbcbbbcbbbccbcabaacbcccaacbaabccaabbaccbcabbcbaabcbababaaabaccbbcbbbacacbabcbcaaabaaacbabcccbbbbcbaccabbcbcabaccbaaabbbbccaabcbbcbaacbccaaaabbbacccbbcaabbbcbaccccbbaabaacbcabbabcbbacbbcbcbbbcbabcbbbbbbcbbbbabbbbabbcbbcbbcbcacbacaacbbcbabbacbacaabbabcacabbaaabbccabcaaabcbaabcbcbbccccbaaaabababbabbabccbbaabbcabbbababbbcbababbccabbbaacbbccbcaabbaacaabaabababbcaacbbccbbcbcccbccaacbbbbacabaccaabccbabcabbacbaccbbababaccbbcbcbccaabcabbbabbbaaacaacbbbbbbbabacbbccccbaacbbbbcacbaacbabcbacbaabacbbbbbaaaabbbacccbbbbacabaabbbbacabbbaacaaabbababbabaaaabaaacaabbbbbaaacbbbabbcabcbbccbcaccaaaaccaacbcbacbcabaacbbcacaabbabbbbbbbabbbacbcbbbbabccbababbbabbaaacccbcabbbcccabccbbaccaaaaaaaaabbbbbabaabbabbabbaabcccabbcabbbbacbbbbababcbbbbabcbacbcacccbcbbabbaccbaabbacccbbcababbabababbabbcbbaaaaaaabaaabbbcbbbbbcaababaacbbaabbccbcbbbabbabbbabbbbcccbccaaccacccbbabbabcbbcababbacbabbbbbbcacbaaaababbcabbbcccabacaaccababccabccbccbbbcbbbabacababbcbbabcbababcbbbcccbbaacabacaacabcbbababbabcabbaaabbbcacbacbbaabbabcbcbbaabaccbbbbacbabcaccaccababbaaabaaacbbcbacacbbbaaacbcbaabaaabababccbbbcbbacaabbaccaccaababacccaabcbaccbbabcababbbabbbabbcaccacccbababcbcaababbbaabbbbabbabbbbabbcabcababbcbaccaacabacbacccbbbbabbbbcabaaccbababaaaaaaabcbabaaaaacbaacbcbcaacababbcbbbcabcabbaabbacbbbbaabbcccabcaabccbacacababcababcbbbbcbbaabbabbbacbabcbacabcacbcaabacaabcbaabbaccccacaaaacbbbaaaccbcabbbabbcbbbbcbcaabaaabacbaacaaacbbbbbacaabcbcbabbcbbaaaccbcbbbcacbbacabccabbccbaccaaaabbbcabaaaacaaabcaaacaabcbcabbbbcaabbcbacbbbaccacbbacbcbbbbccbbcbabcccbbbababbbccaaacababbaaaaaababbbcbabbabaabbcaaaaaccbabcbbccbbccaaacbcbccacbbbbaaaabbcabbbcbcbbbbbabacbbbbbbbbcabacaacaccabacbcbbbbbcccababbccbbbcaaabababbbbbcbabbabbbabaaaabbbaaccbbcacbcaaacacabcbaccacbcaabbabbbbababcabbcbbcabbaacaabbabbcbcbbababbcbabbbcbcbbbbbcbaacbaaababbbacacaabcabcbcacaaaaabcabbbbcabbccbcbaacbcabbabaaababcbaabacbcbabbbacbabaabbbabccabbbabbaacbabbbbbbbbcbccaaabababbccbbacbcbbacbcabaccaaababaabbbcaaccbbababcbcbbccabcbbbccaccabcbccabababcbaabbbcbabacbbabacbbccccbaacaccbbbacbccaaabcbbbbbcababccaababcbbabcaababbaacacbbacabaabbccbaacbbbaacccbbbbbcbcbabbcbbaaacabbbbaccbcaaaacbcacaaabababbababbbcacacaabbbcababcbbcbaabbabbabbbabccbabaabaaaabccbbabbcbbbbbaaababcabcbcbaaabbbcbbbbbaaaacbaccccaacbbcbabcabacababacacababbabcaacbcccbbbababbacbbabbbcbabbbbcbaaccbaccbbabbabbabbabbaabacbcbbacababbabcbaaaabbbaaaccaaacbbacbccbabbbbabbbacbbabcabaccaabbacccacbaaabbbbbbaabbaaaacbabbbbbaaabbbaacabacabbbbcccaabaabbaacaaaacaabccaaaaacbacacbaaaacbbbbaaaccbabaaccbbbbbaaabbbbaacaabbcabcbcaacbababababbabaabbbbbabccbbcccaaababbbbbabbbbabcbaccacbccbaaababcbbcbaacbaababcbbbcabbbabbcbcbcbcbacbcccaacbcbcabaaaabbcacaabbaabbcacacbbbabcbabaaabaacaaaacbbcbbabbccbcbbacabaacbabcabbcabacbcccaabcbaaaaabbbabbbbbaacbaaaabbbabbbacbbcababbbbbcababababbcbbcbbcbcabcabcaccbaaaabccabacbcccbccbabababcbbcbcaababcabaaccabcacbabaacbbacbbacbacaccabbaabbaaabacbcbbbbbababacaacaabcbaabbcabcbbbbbbbaccbaccabbbbacabbcacabbbcbcbbbababcacbbbbababcbaabacbabbabababccbaaabababacbbabcbaabacbababaacababbacabcbbbcababbcabbacacabbaabcbcabbbaabbaaababbccbabacbbcabbcabcbcbabbbbbcbcbabccbcbbacaabbbababbabbbbaacbbcbbacbabbacccccaabcaccaabbaccabcbabbcbbbaacccbbacbbbbcacbbcbcbbbbabbabababacabcaccaccaaabbcabaabbbababbbabbcababcacbaaaabbcbaaacabbbaabaabbaabbbabccabcabbbbcacbbaccbbbccabbaabbbbaabaabcbbccaabcbcacaaababbabbbbcbbabaaabccaaacccbacabbcabccbaacbcbacbacababbbaccababbcbabababaabcacbbaacbbabbccbcbccbcbaabcbaabcbbccabcabbbbcabaababcaabbbbaaabbbcbbabbbbabbbcbcabccacbbacaacbbabbcabacbbacbcccbccbbcccaabaabcacbbcbcbbcbaacababaabcbbccbccbbbbaacabbbacbbcaaaaaaccabacbcbcabcccbbbbaababbcbcbcbaccbabccaaabcbabbbcbcbabbbcaaabbbbaaabbbbbbcabcbaacacbbbbcaabcbaabbccaabbccbabbabccabbbcababaaacbaaacabcbaacbabbabababbbbaaaaaacabacabacabbbabbaabbbcaabbbbbbbbcbbabcbababbbbbbccbbbabaaaccbbbbabbbbbbbcacabbabcbabbababcaabaacbbbbabbaaaabbccbacccaabcbbccababbbbbbbccabbccbbbbbacbbbaaabcaacbccbaacbbbbbcaabacbbcbbaacbaaabbbbcbabbaaabcaccbbbbbbccbcabbabbbcbababcbcbcbbcbbbbbacbaacacaccaabbccbaabbcabcaaabcaacbacaaabbbabcaacbcaaccbbccbccabbbccbabbbcbacbbbcbaababcbaccbbbbbbbaacbbccbbcbacbaccbbbcbbbccaacabccaabcbcacccaabbbabbacbbbbccbbbaabbcbbbbcaabaaacbabbaabccabccaaabbcbaabcaabcbbabcbacaccbccbbbacaacbbabbaaabbcbaabbccaaaaaaaabbccaaccbcabbaaccbccbabababaaabcabbbbbbbcbabacbbbbbabaaabbacbbbbccabcbbacabbbbbcbccbbbbbbbbcccccabbcbbabbababcaacabbbcababccbabbbaacbaccabbabcbbcbbcbbccababacbacbbababbaacbbbcbababbbccaccbbbcccacacccbbcabaabbcbbcbcababaabacaabbcaccbbbbcabbbbbbaaababbbabaccbbbcbaabbaaabaabcbaaccbcacabababccbcbccbbbabbbabccbcbcbabbabcaabbbabcaaabacbbbcabbbaaaaacbcacabaccbbabcccbcabacaabbcbbbbaccbacacccacaaabbbacaaacbbabbbaacaaabbccbabcbbaaabbccbbbbcababbaaacbcbbabbccbabbabaabcbaccaaaaabbbcaababaabcacbcacbbbcbbbccbccbbabaabcabccbbabbaccbcbbbbbbbaabcaccabbbabbacbbbcbacabbaaaaabbbccccaccaaababbabccaacaaababcaacccababababcbabbbbcbbabbbacbcbabcbccbabcabbbaabbabacbaababaabbacaabbcaabcaabaaabbbcababbcacbcbabcbbbabbbbbbacaaacbabbbaaaaccabbbaabacbbcbccbaabbbacacccccaaabbababcaabbabbbcbcbaabbbcacbbabcbbababbbbbbccacbbbbaccaacbccbbabbbbabcbbbbbcbbcbabbccbbabcccbbaacbccbaccabbacabbbbbcabbcacaabbacaabaabccabcabbbbbabbcacacbbabbcacccacbaabccccbbabbbccaabacbbabbcbcbcbacbbbaabbcbaacabbcbcbbbbabbcccaaabcbbbacaabacaacbcbbcaaababbbcbabbbaacbabbacabbaabbbccaababbbbabbbbbbabbbabacacbbbcbbbaabcabcbcbcabccbbcbcaacaaabcbcabacbbbbbcbccbbcbbbaabaabacbbaccbabcababbbcabaabccaccbbcbabcbcacbbbbcbcaccabacbbaaabaaababbbcbaccbabacaaaabaccbabacbbcbcacbbcbcbbcbbacacbbbbbbbcbccccbbabcccbcbcaccbabbaabbabbbaaaaaacacaacabbcbcbcbcccbbbbbaaabbbcbbbbcbbbacacabbcbabbbcbabbccaacbacabccbbbacbcbabbabbbabcbbaabbbcabcccbcbbbbbbbcacbbabcabaabccaacbbbcbcbbbababaabcbaacbcabbbbacbbaabbbaccaccbbbcbaabacacbbbccbcaacabbbacacbcbbbbbabaaabbacababbacbbabbbbabbcbaabbbaacbcccaabcbcbcacbabababbbabaaabbbbaabbabababbabbcbbbbaabbbaaacbbbaabcccccbbbacbcbcabcbaccbcbacaabaacabababacbbbaaabaccacbabacaccbaacababaababaabcacbcaabbcbaabaabbcabcbccccbbbcbacbabbbacaabbbbbbccbbbaabbbbabbbacaacbababcbccbbaccbababbbcabbbbbbbbcabccbbabcbcbabbbbbaaabccccacbaaaabbbabccbaaccabbbbcbcbbcaacababbcccacacbbabcbbbaababbaaabbcbaaacbacbabcaacaabcabbcabccabcbcababaaabaababbbbbbbcaabcbaacbccccabbcccbbbbbcbbbbbcbcbbacbababbbcbcaacaacabaabaaabacbbcabcccabbbcbcabbbabbabcacbabcbcbbbcccaaacbcaabbbbcbccabcbbbabbcababbbacbbcbacbbbbbbabcaacbabcacbcbacbaaccaabcbabcbbbaabbaccacbbcabaaaacbaaabbbbbaabcccbbbabcababacbbbcbcaabbabbaabaaabbbbbbbcaababccbbcaaaabbacbbbabcabbbababaabbbaccbccaabcbbbbabbbcaabbabbabcabbaccaacaabbccabbccbbbabaabbaabcbabaaccabababbbbabbcbbcbacbbbabbbcacbabaaaababbbbababcbbccaabcbbbcbbbcabcbcbbbbabbbbaacbccbcbaaaaaacbbbbbabcaaaaabbbacbcabcbbbcaabbbcabcaabbabbbabcbbbbcbccababababcbbbccbbaabbabbacabbcbccbabcabbababbbcbaacbcbcacbacccacccacabaabaaaccbbbcbaaacbcaaccacabaabbccacacabccaabcaacbcbcbbbbacabbacaaccaccaacabcaacbcacacababbcbaacbbbcbccbbbbbccabbabaaaacbabbacccaabbcabacaaccabaabbaaaabbbbaabcbcbaacbcabbbabbcbbbaaaaaabcbaabababbbbbaabbcccbbcabcabcbcacbaababacabbaccaabaabbbbbabcccbbcacaabcaccccabbccabbaabbbccbbbacbcccbccbbccaaaababaabcbbabbaaacbaabbbbbcbbcaacbbaaaabbabbccaaaacbaccbcbcababaabbbbabacacbcacbaacbabbcbcbaabbbaabcacbbbbbbabcbbaabaaabaaacacbbbcbbabcabbbaaccbbacabbccbbcaacbacabaaabbacbbcabcccaabccbbbcabbcabccaaabbacbbccbbabcbabbbabbaaccbabaccabaacbbbbcbabcacbcacababcbbccacabbaacccaacccbabcbaaaaccaabaccaacbacbbbabbbbbbbcbabcabbbbccbccbbcbccbbcacabcbabbcacbcbbabbabbbcababbbaabccabaaccbcbbbcbbbbaaabccbcacbacbbbbbbcabbbabbaaaaaaacbccbbabcbcbaacabacabcccabcababcbaaabcaabccbbbbaaabcabbccccacbbbcccabccbbbbabbcacbbacbabcbbaababaabababcccbbcbbaaabccbaaababcbcbbccaababbaacaaababacbbabbcbbbbaabaccbaabbaccbbbbcacabacbbaaacccbbcccbabbbbbbcbbbbbacbccbbbabaacababbbbaacbbbaacbacabbaaacabbacbbbaabcaabaacaabcbbccbabbbaaabbaaaababababbcbabbabbbcbabcbcababcacbbaaaabbcbaccabbcbaaaacbbbbaaaaaabbcaabbbacabbbbcbbbaaabbaabbbcbbbabcbabbbbacbbcbbbbccbabbbbbabacabcacbaaabacbaaabbaccababcbaaccabbaaacbaabbbabaccacabcbcbbaabcaaabbcbbbabababbabbabbabbbbabcbcbababcbaabbbbcaaaababccbbbcacbcbababbcababcbbabcacbbcbabcabbbbbccbbaabbabbbcbcacccbbabaaacacbbcbaabcbaabccbbabbaacbabcaccbabbbcbbcaababaabbbccacbbaabcbaaaccabbcbbacbaaccbcbbbaabcacabbabbaabbbccbbcbaccabbbbacccabaabbabbcaacaaaabbcbabbcaabbbabaaaaababcaaabaacacbaabacacccbcbcacbbbabccbbbaaabaaccbbcabbbabbaccacacbccaabcbcabbcbaaaacbaaacbbbaabbcabaaabbbbbaabcbbccbcccbabcbabbbacbbaacaaacbabbcbbaabbcbbbabbaaabbbcbabacaaaaaabaaccbbbcaacbbccbcbcaaacbbabbcbbcbbbbbcabacbabaabbabacabcbcbcbaaacacabbcbaccbccbbcacbacbbccabcbabcbaacbbcabbcacbacabcbbcbcbcacbcbcccccbacbcbbaccbbcbabaabcbbbabbabcbccbbbcbbcbcbcccabbbaaacbbccbaaaccabbaabbcbbbaabbacbbbcbcbbbbbabbcaacbaababbbaabbabbabbabacacbbbacccaccbabccbaabaabbababbbaaabbbbaaabcacbbcccabcaacbbbbbbcbacaabbbcbabbabcbbcccabacbbbbcbbbbbcccaabbaaacabbcabbaabaacbaacaaabbcbaabbcbcabcbbcaaabcacbbabbabbababbabacaaabbcbbccbabcaaaabbcaaacabcbaabbbccbaabcccbabbbbacbbbcbbcbccabacbabcbabbbaabbaabbcbbbabbbbbbabbbaaaacabbbacccabbaabbbabbacacbbbbbccacaabbcbcacbcbbacbbabccbcbbabcabbaabcaacabbbbcccbbcbabbbcbbacbaaccbbbbcbbabbcbccbacccbaaabaacbbcabbabbbbabbabbcbaccabcbbababbaabcbcabbccbccabbabbcbabcbbbbbbaacacbbabbcbacbaacaabbabababbbaaaabbaababbbbbccabaaaccbabbaabacabbbbbcbbacbbbbbbcacbbbcbcbbcabbcbcbabbaababbcbcbbccbbbbaccbabcabaacbabccaccbbacababbabbbbcbbaabaabbbcbbabaaabbacababcacbbbbbbabccbcabcaabbababacababbacbabaaccbcabababbaccaccaabacbbabbcbbbaabbabbbcaccbaaccabaaaacbabbbcaaaaaabacabaabbaabbacababcccabbabcaaabbbbbbcbbbbabbbacabababbbbcbacabbbbabcacccacbaccbababbccabbbabcaaacbbbbbbaacaabbabbbabcbababcabaabcbabacaaabbcbbbcabaaaabbcbabacaaaabbabababbaccabbbaacbccaabacccbaacababbbcbaababcabbaacbaccbbcccccababaaaabbbbbabbacccacabbaccbacbccbacabbbbbaaabbccaaccaaccaccaaababbbcbcbacacaaababbabcabccbbbbbbbbbbbbacababbcbaabccabbbabccabacccabaabcacbbbbcbcccaacaaacbbacbbacacaaacbbbccbbabcbacccbcbbabbcacaabbbabacbcabcbabcbabbabbbcabbabcaabaaabacbbabccbaaccbbaabaabccabbaccbacbbaaabccccabaababbcbbacacccbbbbababaaacabcbbbbbcacbcbbbbababcaaaccbbbaaabcbbbbbbcaababbbcbabcababbbbbbbcbcbcbabcababcabcaabacbcbbcabaaabcbbbaabbabcbcabcabbbbcccacbacacbcccbabababbbabccbacbbbcbbcbaaccbcabaaaacbaacbbaacaababbcaababacaabababacbabbbabbacaccbcacaabbbcbcbcbcccbbbccaaababbcbcbbbaabbcabbbbabbbababbcbaababbbacbaabbababaabaabcaacaaaacabbbbccbacaacbacacbccaaaccaabbaaccbcabcaabbbcacabccbcbbbbccacaccaaabbbabcbbabcbbacbcbbbbcbbacbcaabbbbbcaabcabccbcaccabcabcccaabcabbbaabcaabbabbbabaaabacbcaabbabbaccbacbcacbccaabbbcbcabbcbcbaaccccccbacbbabcbbbabababbbacacbaabcabaabaabaaccbaabbbbccbabbbacbaabccbbbbbabbbccabbabccaaabbaaacbcbbccbabbbbabcabbbcacbbabbacaacccbbbbbcaababccacaabbbbaabbaacbabbbabbaabaaabbbbbcbacaccbbbcbcabbbccababbaabaacacbbabcbbcaaabccaabccbcabbbbaaaaabbbccbbcaccaabbabbabcacbcbabbbabbbabaaacbcacabbaccabcbbbccbcabcaabbaccabacbbabaababaabcbbabcbabbabbcbccbacabbccbbcacbaabacbbabbaccbbbcbbcabaaababaaacbaacaabbaaaabcbaabccabcbbabcabbaaaabacbabbbcbababccabbacababbacbabcccbbcaaabcabcacbcbbbbbcababbcbbaabbcacbbaacbbbbbbcccbbcbbacbbacabbbbbccaccbbbbbabbabbcbbbbbbccbabacacabbccbabbabcbaacabbbaccaaaaacaccccaaccababacbcbbbbbababcabccbacabbaaaabbacabccbbccbccbbbbccbaacbbcbbbbabbabcacacbcbbbaacabbabbbacbbcbbaccababbbacaacbacacbcababaaabbccaccccbbabccbbbbbaabaacbcbbbacabbaaccbcbcbbbbbbabbaacbcccacbbbbbbcabcbacbaccbbcbacaacbcbaababaaacbbbcbcabbbbbbabcbaaacbbbcbbcbbbaaabcccabbcacbbcbbbbbcaccacbabbabaacbbabcaaaabababcabcccbacbaccaabaabbbbabbbcbbaaaaaaabbbaacaaababbbaaabbaaaabccbcaabbbbbbacbbaabbbbbcbccccbbabacbbcabbaabbbcbabcbcbabbaabbcaccbccaaabaacbbbbbbcbbcbcccbacabcabbcaaaaabbcbabbbaaccabaacbccabcabbabcbbcbabbaaacaccccacaabcabcabcbcabbcababbcbbabcacababbbacbbcbbabaaaacbabcbcbaacbbcbcbbbbbbaabcccbabcbbcbbabacccaabcbbbcbbcbbcaacbbbbbbccbaacbbbabacbbbbcbbbaaaaabbabbbbcccbabbbbbbcaaabbbcbbbcbaabcbcabaaaababccacaabbabbabbcabbbbcbacbbabbaaacacabbbabbbacababbbbbabbcbbccaaabaababcabcbbabbcabbccccbbbaabbcacbbabaacabbbbbcbbabcbbbababbbabbbbbbbcbbaacbbbbbbcbbbabbabbcbbbaacbbbabbbcabcbabacabacaaccaccacbccacaaabbbbabbbcccaabcbbcabbbaacabbbbabbbbbabbacbacbcbbcabbbbbbaaacbacaabbabbcbcabbbbbacabcabbbabbcbbcacbbcbbbcabcbaaacbbaabcacaaaabbbbbababababaaabbcccbabbabbbbaabbaaaaccbcbacbbbccbcaabccaccaacbccaabaccaccaacabbacbbccabbbcaabbcabbabcabbcabaabbcbbbacaccbbbbcbabcaacabcabbbbabcbcbcbababbbbabacbabacbabbbbabaaabababbbbcabacbbabbabcccbcabcccacbbbcbccaacababbaccbbaccbbbacbccbbccbcabaaaababccbbaabbbaabccaccabbbcbaccbcabbbbbabcbbaaababbcbbcbbababaabcbbaaacbbabacbcbaacabaabaabbcaaabcbbbbccbaabcbaaccbbbbccbcaccaabbcbcaccbacccbcbaabbcbbbcbbcbcacbaabbbbaccbbabbaaabcbbbaccbabcbabbcabcbbabcbcacbcbacbbbaacbcabcababccbbababbbaaaabbacaabaaacbababcbabcbbabababbababcaababbbbccabbcbacabbbbbababcababacbbbbccbacaccbbabcbcaabbbcabaababaacbbbbbcbabaabbcababbacababbbbcaabbccabcacbabbcbbbabcaabccbcaaabbcbcbacabcaabacabcbaaacbbabcaacbbbabbabbacbbcbacbababbbaaabaaccaccbababbaabbbabbbcbcbbacaaccbccabcaabbcababbabcabacabcbccbbbbbaaababcbbbaaabbaaaaabbbaabbababaabcbbababbbcbabbbbbaaacacbbabbababacbbbacaacabbacaacabcabcbaccbabbabbbbacbabbbcbabbbacabccbcabcababcbbbaaccbacbbbbaccacaabcacaabaaabbaabacacbbabcaaabbabbaabbcbcbbaabbabaabaaacbbccabbacaabbabacaaabbbacbbbbbcbbacaacabcabaaaabccbabbaaaabbbcccaaabbcccacbbbbcacacbabcbaaccabbabbbbbaaacbbbabababbacbcababcabccbababaabaaccbbbbaabbacbabbbabbbbccbcaaabaaacbbaccaabccbbbbbbbbacccbabbcaacacbbacacbbccbcabbaccbbacabcaccaabbcaccbaaaaabbcbaabacbabababccabbacabbcbcbcababcaaabbbaabbbbcbbbababbbabccacbbbbbcbbaaacabbbabbcabbbaccabaaaccbabcabbbabbacabbcbabbbabbabaabcbbbacaaabcbbabbacbabababbbaacbbabbbbabbbaabacaabbbababcaaccbbbbcabacaababcbbbbbbbbaccbbacabaccbabbaacababbbbbacbbbbabcbbabbabcbbbbbbaaccccbcacbabcaabbcbbaacabbacabbccabbbabbacccbabcabaccaaaaacbbbcbcbcacbcbcbaaabbccccabccbbbbcbaaabbbbbbbacacbcbbacbbabcbbbacbccabcbabaabaaacbacccbacabcbaacbbcabbbbcbcababbababacacbaabcacbaaacbbbbbbaccabcbbbabccacabbbbbcbcbccabbacbbbcbcbbbaacabbabaabababcbacccbacaabbcbabaccbababbcabccbcacbbbccbaaaacbbbbcccababbbabaabacbabcbaccbaabaccbbccccbaacbbbcbbbabaccaabbacabbcacababbbbbabbccbcccbabbababaccaccacbbbbbbbbaaabccccacbaccbbbcbbbbababccaaacbaaababbabaccbbbbcabbbcbbaaaabccaabcabcbbcbbbbbabbcacbbbaabbbbcabbbbcaaabbaccbabbcabbabcabbbbbbccccaacbcabcbcbabbbabcbcbbbaabbbbcbbbcabbbbbaaaabacbcbcacabcbacccaaacaaaaabcbbababacccbacbbbbaaaabbcaaaacbcabcbcbbbcbbabbcbcabcbaaccbcaabcabbbbaccbbabcabbbbbbbbbacbbaabaacaacaacacccbbcbbabbaccacabcbababcabbcbbbcabaacbcaabaccacbabcaaabaabbcbbabbabbbcabcbcccccbaababaaabbcaabccbbbaccbaacbcbbaaaaaccacbacccbbbabaabbbabaababccbbbabcaccabbaababacaccbacbabbbcababbbabbaabbbbbbbabbbbcbbabbbbbcbbacbacaaaabcbcbbccbbabbbabbcbabbabcabaaabacabcaacaabbaaccbabbaacabccacbbcbbbaaaabbabbabaaaacbaacccbaccbaababbbabbabacacbcbcabbbcbaacbacaacaacacbbbbbbacbacbabaabacaababcacabccbbacbcababcacabbaccbcbbbaaccabcababcbbabbacabcabbaccccabbccbcbbbcbbbcbcabaabcaaabbcbabccbcaabbbbabcabbcabaabacabcababcbbbaccaabbaaabaaabccbbbbcccbabbbccbababacbbbcaabbccabcbbbbbcababbbccbbbbacbabbacbbbbabacbcabaccaaacbabbbbbcabbbaacbcabcabbaaabaaabbcacbccacacbbaabbbbabbabccababcbabacaaacbbcbbbbccaababacbbaacaabbbcccabcbcbbccbabbaccaabcacbcbbbbbcabccbbbbcaaaaacaabccababbbabcbbabccbbbcbbcbbbacacbabccbbbbbbbabacbbaacabcbabcaabcaaaaacaccbacacaaababacbbbbcbbbabbaccaaabcbabbbbbbaccccbbbcbabcacbbacbbbbcbbbababacbababcbbbcaccacbcbacaababacaccababcbbccbbbbabbbabbaabaabbbaabbbcbbabbbabbaccacacbacbcbbbbbcacbbcbbbcbcaccbababcccbbbbabbcbbbcaccbbccbbbabbaabcbcaabbbabbacbbbcbbcaacaaccbbacbabbaaaaccbaabbbcaacbcacabaacaabbacabbabcbcacbbabcbaaaabbbbbbbccbcbabcabacbaabbccbacbabacbccbaaaabcbbbbbcbbbabaaabbcabbacbcbccbcbbcabcbcbcbbaabaaaabacbbbbbbcaacabbabcbcaabaaaacbbaccabcbbbcbbcccbaacbbbacbacbbbaabbcbbbcabaabcbaabbcacabbabaabbabbcbcaabccbbbbcbaacccbaababacbbcccbbaaabbabbabbbcbcbacbcbbabbbbccacacbaabbbcaabbabcbbcbcabcaabbabcabbcbaaabbacbcabbacacaaaaaababbabababcbaacccbccccbcaabaabbabcbccbcbaccbaaccaaaaaabbbbcababbccacabacbbbcacbacaaaabbbabbcbaacbcbbcacaabcaacaacaabaabbacbbbcbbbbbacbaababcbbbbbbaabbbaaccbbbbbbcacacbcaabbbacbacccbbbabaccabcbabbbcbbaccacccabbcabcaabcabacbbaaacabcacaacacbbbacaabbbcababbbbaabbcacacabbbcaacbccbcbacbbbbcacbbabbcbabacbabbabcabcbbabbabbaacaaabbacccbbbbbbabaababcbbbabbbbcaaacabaabbbcbaabcacbcbabbaacabbbbabcabbbbbbaaaabcaabcbccbccbbbbbcaacabbcbabbbcabacaabbabaccbabcabbbabaacbabbbacbbbabbabbbaaaabbbccabbcbbabbcacbbbacacabbcbacaaccbbbbbcbaccbaababbabbabbcabbbabbaabacbbcaabcbbbacbabbcccabbbcabbbbbbaaaccbccabaaabbcabcbaabbabbbcaaaaaccbacbbabbbabbbacbbbcbbbbbcbcaabbbccbbacbbbcbabbbbbacbcbcaabbabbbcbacbcbcccababcbaccbbcbbabcbbacccaaaaacbaccaabbbbabcbccbcabcbbbbaababcbbbbabaacbbcabbbbccacbbbbbcccbabbaabbaabccbbbabccaaccacbbbccbbbabbbaccbcbbaccaccaccaacacabbbbbcbcbabbabaaaacbbcbbbaabbcbbbbbcbbbcabbbccbcbaaaababccbacabcbaabacbabcaccbbbaccbabccabcbbbbbcabbcbbcababbbbccbabbcaababbcabaaaaacabbaacaaccbbbcbcbcaaccbbcabbbcbcbaaacabbbcbbacbababbbcbbcababbbacabaabbbcccbabbabbacbbbaacbbacbbbccbbaaccbacbbbcaababbbabbcabababbbacbbbbbccacacbbacabcbcbaaaacaaababbabcaabbbcbcaaabaabbabcbbacbbaacabbbbabcbbbbcabaabbbccccbababacacbcbbabcbbababacacccabcbabccabcbabcbbaaaaaacabbbccababaababaabbbcbbbcacbcbabcbbbbbababbbcabcccacbaacbacaacacccccababcbacbbacbbbaacacbbcaacbccabbbcabbbbbaabacbabacacbabbaacbabbbcbcbaabbcabcbaabbbcababcbccaaaacbbcacaabbbbcacbacccbabbbabbabbcbbbcabbbcacbbabbabbcbacaaababacbcbbbabccbccbbbbbcbabbababaacaacaaacabaabbbbccbcacabbcababbcccbccbbbbbbbbbbcbcbacababacabcbbbaaacabaaacbaaacbaaacbcbbcacbcaaababbbcbbcbbcabbbbcabbcacabcabababcaacabcbbaacaacababaabbcaccbcbacababbcaccbaaacbbbbabcbbccacacbcbabacabbabaababcbcabcaacbabbcaabbbabaacbbcbabaaabacbbbbabbbaabbcbbaabbbcaaababaabbabaaaaccabbcbaaaaabcabcaacabaaabbacbccbbbbbacbbabbcbbbbbaabbcacacbbacbbacbaccbbaabcabbbaaaabbbaccbacbcbbbaaacabcbaccbbbcacbcbbacbbcbbbabbbcbcbcbaaabcacbcabbbbbacabcababbcaaabbbbbababaccbccbabccacabcabbbcacbbaacaabcaccbabcbbaabacbacbcaacccbbacbbacaaabbabaccababcbaaacabbbaaaaaccbacbcacbbbbbacbbaacabbaaaacbbabbbaabbbbbccacaaacbbbabaacaaacacaaacbaaaabcabbabbbccbbbcabbcbababaababbbababcbbbbbcbacaaabacabacacababbbbcaaabbccabbbaaabacacbcbcbbccacbccbcacaabacacccbcaaabbabccccaaaccacbcbbacaaaaaabacaababbbaaabaccaccbcbbaacbabbbbcacbbaababccbaacbaabbbbbcbbbcbcacacbcaccbababcaaacaaccabacbbbcbaabccbcbabccbbcccaabbcbabcaacbcbaabbcbaacbbaaabababaaccbbbbbcbbabbbabbccaabbcbcbccaabbbbbbccbbaaabbaabbcacbabbababcbcccaaccabbbcbbbabbabcabacabcbbcaaccbabbabcaaabbabcaaabacacbaccbcbbbcabacaaababbbabbbabbbacababcaaabcaabcbcacbbabccbabbabbabaccbcbacabbbbbbbaabbbbabccbacbcabbbcbacbbbbbabababcabbababbacbacaaaacbbcabbaccbcbacacbaaacbbcbbbbababaabbacccbbbcbbcbaaacaaabacabccaababaacbcabbcbbbacbbbbbbaccacbcabababcaabbbababbacacacbbacbacbacabccaabbbababcbcabcbcababaabbcabcabccbcbbbbbcbaaaccbbaaabcbcabcabababaaabbaccacaabccbcacbabbbbbabbbccbcbbaaaabbabbbcbbbabbabbbaccacbbbabaccaabcbabcbababbbbbbacaccbbbaabbbcbbabbabbcbccbacbbccbcabcaabababcaabbabcaaacaaacccccaabcbbcaaababccaacacbcbaabcbcbbccaaabcbabbbcbbbcccaabacbcabacbacccbbaabacbcbaaabacacaacbaabbbabcbabcbcbbaacbcbababbcbabcbabcaabcbbccbaacbbbabaabbcbbbaaaaacaacbbbacbabcabbbbcbbabbbbbccabaaababacbcbbbcbabbcbcaccbbcbaaacbbbaabaabbbbaabbcabbbcbbcbabbcbaaabbbbcbacbcbcbabbbcaaaabcacbaababaaabbcbababacbbbacabbbcbcbabcbbaacabcbbcbcbabacaccacabaaabbaaccbccccaacbbbbbcaccaccbbbbcaababaabcccccaabcaabcbbccabacaaacbbacacababbbcbcbaabababcbacbabbbbbbbccbabacbaaabbbacacbcbbbacabbbaacabbabccbccbabbbacbbbbbbbbbbcbababacaabcabbbcabbaabbabbabbbbacabbaabbcbabbcababbcbbbaabbababbccbaaabcbbbabcabbbbbaacbabaabbbbbaabbbbabcbaabbbbcaaaabbaaabacacbbacaabbabccccaaaccaccccbbbcbbcbacbbcababbbabcbaaaaacaabbacababaabbacacaaaacbcaacbbabcaabababbaabcacbabbabcbbbbbbcbcabbbaabbacbbbcbabcaacbbcbccbcbcbbcbccaaaaccacacbbcbbaccaabbaabbabacbbbaccbbbcbabcaacbbbaaccaabaabbbcccbbabbbacbbbcbbabbcacbbbabbcbbbbccabacacacccbbbbbbbaaabbcbaacbbcabcbbabbaabaaabccbcbbccccbacaabcbbbbcbaabccbbccaccbacbbbccbacbacacbaaabacabcbcbaaabbbaabacbbabaababbbbbaabacbababbabababcaabbcbaccbcbcbbcbabcbbcacabaabaccabbcacbbabbabccbacbaabbbabbbcbbcbbacbcbccaaacabacbbabbbaaaaabcccacbbcbcbcababcbbbcaacaaabcbaccbbcaaccbbbaabbccacaabbcbbaabbcbcbcbbaabbbcbacabcbaccbbabcabbbbbababcaaacbabbbbacabbabacccabababbbbbababbabccaaabcccbaacabcccbbacacacabcbbbabbbababbaabaaabbbcccbbcccbcbabcabbbcbbbcaaabbbcbcbabacacacaacccbcabccbbaccbcabaabbbbabcbcbcbbbcbbaabaacbcabcacbcacccccbbbbbaabbbcbbaaacababbaccbccbbbbabcbcbaabbbcabcbbaccbabcbbaacbabbccbbccaacaccaabaabcbbbcbcbcbaacbcbbaabcacababbababbbbbbccbcabcbabcabbabcabbaaabaabccabaacbbcabcbbbcbbccbbbccbbbbaaaaabcbaacbcaaccbbbcbbabcabcbbbabbbacabaaabbbbcaccbaabcacabbacacbaccbbccabaacbcabacbbcaabbcaabbccbbbbbbabbbbcccbbabbccbcabbcccbabbababaabacbaaaccaaaaaababcbcaaababaccacbbbaabbaaabaaabbbcaacaabbbabbabababababaaaaabaabccabbbabcbbcbbcbababaabbbbabbcbbcbacbbacbbaaaaaccacaaacbbabbcccbbbbcbaabcabaabbabbccbabbaaaabcbbabcaabaaacabbccacbcacaaaabcbbbbcababaccbccacccbcabbaacbacabbbccacbbbbbbbcbbbccaabcbaabaaaacccbabcbcaacbcabbcabbbaacaababccbbbbbbcbbaacabbacacbcbbcbabaaccbbbcbabbccccbbaccbbcbbbbbbbbbcbcbbaaabcbbaacbbcbbbbacbbbbbbbccbbabcbabaacacbbcabbcaababaabcbcacabbacaacacaaaabaaabbcababbababbaaacbabbbacbaccabcbbaaabaabbcbbabababbbabbabcbccbccabbbcbbacacbcbabcaabababcbaaccbcbbbaaacbccaaccabbbbcbbacbbaabcbbbbccbabcbcabbbcbcabaaabbcbabccaccacacaaccbbbcccbbbabbabcabacbbbbabbaaacacbbbacabacbcabbbbcbbaabbabcbabbcacacbbacbabbacbaabcbccbcabcbbabacbaaaacccbbcbbabcbabcaabacbbaababbbcbbccacacccbbbbbaaababbcbacaaabbabbbbabcacbbacccbbcbaababababbbbabbaacabacaacbabbcbbabaabaabbcaabcacabbbcabaabacabcccbccccbaabababbaaaacbaabbbbabbcbcabbbbabbbabbacbaacbcacaacacaabbbcbaabbcacbbbbacbbacabaabaccaabbbababaababbabbbbcababbacbaccbbaaacbccbacbaabbbabaabbcacbcbbbcbbccabaacabbabbbbbbabababbbcabcbbacbbbaaabccaabacabbbbacbbbccbacaaaaccaaccacccccaccbacbbccbbbabccabababababbbbbaabbabcbaacbabbbbcbacbaaccacbacbabbababbbababaabbbcabbcbbabbabcabcbbbbbccacabacbaacaacaacacabbbbcbbbcacabbaabbabaaabbbbcbabbbcaccabbaaacbbbbaabcabbabbacbbcacbabbbacabacabbbbbabbbbccbcbbccbacbbbbaabbccabbbbbacaababbbbcbbbabbbabbcbaacbbcbbbacaabcbbbbabcbaabbabacaabcbacabbbcbbbcccaabccbaabcaabbbbabbcbacbbababbbcbaabaacbbccabaabbbbbbbbcbbcccacacbcaccbcbaacbaaabcabbbbaaaaaabababcbcacbbbabbbbabbbbaaaaacbabaababcabcbcccbbbcbbabbbbaaabaabacbcaccbacaccabbbabbaabcbbbcabbacbbbaabaaccbbbaacbabcbacacbbbacabbbcbaccabcaaacabbbbaabbbccccbaabcbabbbcbabacaccaacbbbacaabbbbbabccbcbaabcabcbbabccaabcabbbccbababbbbbbcaaabaaccaabcaacccbccbcaaaacbcbbbabcacbccabbaacabaabcacbcbbaabcbbacbabcbbbbababcbcbccabbacccbbbbaaaccbbababacccccaabaacbacccbbaabbbacacabbcbabcabaaaabbcbcabbabbbbbcbbcbabbcabbcbaabbcbbaaaaaaacacbcaaccacbbaaabcbbabacbbcbbabcaabbcbabacaabbabccbbcbacbbcbabcbabcbababbcbcbabccaacbbcbbacababbbaabcaabbbccbabcaabcbabbbbaacbcaccabccbbccacbcbbbabbccbcbaacbbbabcbbcacbbbbbbbababcbcabababcababcacbabbaabbbaccbcbbabbabbcbacbbbbacacccaccbcbbaaacabbacbbbbcacababcbacabbbabacbcababccabacacbabacbbabcbacacbabbabcacbbabbabbababacabbbcababcbccacabbabaacbbaacaabaabbacacccaababaccbbabacacccabcbbbbcabbcbacbabcccbabaccbacaaaabaaaaccabbbbacbabaaabbbbcbaccbbacbcaaabbcbbaabccaaabcaaabcbbcbabcbabcbabcabbbbbbbabbccabbababbbbaabbaabcccbcabcbbcbcabbbacaacaccbcbaaaacbbaabcbaacaccbbabbababbbbccabaabbcbbcbcbbbbbbbbbcacabbabbcababaccccbcacbcbaaacbbbcabababbbcbbbbacabaaabcabcbccaaababaaacbbbbbccbbbbbcccacccbbaaacbabaabbbbbbbcccbcabbbbabbcbccaabacbaacacbbcacaaabababccabacaaacbacbbbbabcbacbcccbaaabcbbbbaaabaabbccaabaccbbababbbccbbbcbccbaabcabcabbabcbbbacbacbccbbbccbbcbbabbbabbbbacbcaabcacccbabcbbcaaccabbabcacaaacbbbaccbcbbbaaacbbaaaaabcccbaaacaabaabaacbbaacbbcbbcaacaabbbbcaabbaacacabcbcacabbcbbbbbacbbabcbccbbbbbabaabbaabbabbcccbbaccbbaabbbccabcbaacabbbcbbbccbbabacbbbbcabcaaaacbcbcabcbacccbcacbacbabbccbabababcbbbcaaabaaacabccbacccbbcbbacbbbbcaccbbbabcbbabaababbaaabcababbacbaaacbcbcbcacbbacbcacbbacbcbabbababaacccbacbabbacacccacccaacbcccabbbabbaaaacbabbabbbbccabcabacabaababacabbbbbbaacbaaababbcbbbcbbbbcabbcbbbbcabbbabcbacaacaabbaabaaacbbcbccbbccaaacbbacbccbcaabcbbbbaaaccacabcbcbbbbaabacaabcacaccaabbabaaccbcbacbbbabcaaaaccabbaccbcbcbabbbbabbaacabbbaacaccaaabcccaabaaabbbaacacbabccbaabcaacbcbcbababaaaccbbabcbcbabaacaaacbaabbaababcabbaaabccabaabcbcccbabacbbcbabbabbabccabcabaacabababaaaaccbbbacbbbaabbcababbabaabbccacbabaabaacbacbbcbbaabbcbabcabcaabbccaaabbbbaabbbabaaabbabbabbbbbbaaaabbbabccabaaaabcbbabccbbabcabbbcabbbaabbbccbbcbccbcbbccaabbbaabcacbcbbbbbaaabbbcabacabaacabbbabbcbcbbaaabbbbaaaacccaabbbcccaabbbbcabbbcccacbbcaabbaccbbabbcbbbcaccbbcbbcabbbbccbcccacccbcabcbacbbbbabcbaabbbaccbcbabcbaacbabccbcbbbaabbbbaabcbbabcbaabbccabaabbbbbcccbbcacbbbbccbbcccbbbabbaacabbabbcbbaacbaabaacccbaabcbbbaabbbacbabababaacbcbcaabbbcbbbbacbbaabbcaacbcbccbbacbacabbbbababaaccaabcababaabbabaabaacbbbcaccbcacccbbbcaccabaabacbbbabbaaaababbbbbaabbbbbabcaabbacbaababcbbbbaabcabaaacbababacaabbccbbabcbbababccbacaabbabacbbbababacbbbbbbcbaaccbcaacbcbacbbacbaaacbabbbbbcacaaacbacbacbabbabacccbabaccbbacaaccacbbbcbbbaababbbcbaababbbcabcbbaabccccccaabbabccacbbabbbcbaababbabaabacaabcbaaacbaaabacbccbcbbbcabcbcbccbbbaacbcbbcbabaaabaabababbbbaabbcbabaccbcbabacbbbcbabbbccabbbbbababcabacbbbbbabbcbbcbbbaccbbbaaababcabcbbcbbcbbcaacaccbccaacaccbacbbbaabbabccbbbbbababaacbaaabbbcbabbcbabbbbbbbbabccbaaaaaababcaabbbbbbbcbcccbcbabcbbbbbbccaacabbcbbbbcccaaabaabbaccacbbbcacbbacabcbcbbcaabbbcabacbabbbaccabbbbcaccaaacabaabcbbbaccbbabbcccbcbcbcbbacaacababccaacbbbaccbbbbcbabbbcbbcbcacbaaabbbcabbbbbccaacccabacbbbaacbbcaacbaabccbbccbcccabccaabababbbacbcbabcacbcbcbbabacabaabccacbcbbaaabbbcbbabbccbcbaabcbaaabbbcbabbcbabbaacbaacacbbabbababaabaccabacbbaabbcaaabacbbabbbabbbbacccababaacbcaabaabaaacaabbcaaacbabbabcbcbbaccabacbbaababbbaabacaacbbbcbaacaaacabaccacbcbabacbbcbcbacbbbbbabbabcbaaabbcacbabbbcaabbbabbbbabbbccaccabcbccbabcbaaaaccbbaccbccbcaaababbbbaaabbacbccbaaabbbcbabaaabbbbbbccaaacbbcccabbbccabcccbcababcbabbbacbabbaccbbabcabaacbbbbbbcabbbcbaabbbbbcbbbcaacbbbbaaabaabacbcabbbabbbbbbbcccaabbbbcabbaababbabbaccbcbabccbccccbbbabbbcbaabbcbcaacbbcabbbccbbbabbbbbbaabbcabaaaccabbccbababaacbbbaacbbabababccbccbacbbbbbaabbbbabbaacbbbabcccabbcabbacabbcbbabccbbbbcbbcccbabaacbbaabccaccbabbbbbccbccbababbbccaaabccaccabbbcaabcacbcbcabbabcccbbaabacccbaaaccaccabbbbbbbbababbbbbbbbcbaabbacabaaabbbabaaaabcbaaabbbbcccaaabbbacbabbbabcaaabbccbaababbbbbbccabcabbcbbaaabacbbcaacccbabbcabbbcbcbbbbabababbbcaccbabbabcbaaabbabbccbbcbbbbabbcbbabbbabcbbccacabababbcbbbbbcbbcbcaacccbcbcbcbabbcbaaccbaacaaaaabbbcaabcbaaaaaaabcbcbbbcbcbbcaacbbbccbabcbabcccbcbacabbaaccbaabccabbaacaaaaaccccbbccbbcacbcbcccccccbcbcbbbcbaaacabbaacbcccacbbcbcbacacbccaabbaccbbaabbcaabbacababcbbbaccbaacabcbaaccaaabcbbcccbbabaabcbccaaccbcabcaccacbbcabbaabacbbbbaccabbaabbbabbbbbabacbbababbbcabbbabcaabcbbbcabcbcabaabaababcabcbaababababbccccbabcabcbcbabacacaababcbcccacbbaaaaaababcaccbcbbbbabbaaaacabccccbbbabbaabacbcabcccccacccbabacacbaccbaabcbccbbabbcbcaacbcbbcacbabcababcacaccbacabbbbaaabbbcbaaaababbbabcacbaacbbaaaaabbabaaabbbabbaaaccaababbcccbaabacbaabbbbaabaacbaaababbbbbbbbaccbbbbabccbbbccbcacabcbbbbcabbacabaacabbcaacacabcbbacacbbcbbabbbcbbaaaabccbaaacbbaaabbbacabbbbcabbcaaaacccbaacbcaabcccaaacbabbccbbcaabbcabbaabcacbbbbcbbcacbbbbaacccccabbbbacbabbbbbcacbaccaacacacbabccbbabbbbbbacaaccbabaccbacacaaabaaaacabcbcbbbbabbbacbcbccaabaabcbcccbcacbbbabababacbacacacabcaacbbbbbaccabbbcbbccbcbbcbccbbaccbcaacccacabbacbbcacabbcbaababbaaacbabaaabacbbbbaababbaaabbcbbbcbcabbbbccbaacacbbcabccaabbbabcabbaaaabbbbaccbbbcbbcbbabbccaaacbabaabbbacbbbababaaccbbbacccaacbbbbaababbcbbacbaacbcbacccbabccabbabbbccaaabacbaababcabcbbbbbaccbabcbccbccabbbbccbbbbaaabaabccacacbbacaabbbbcabbbabbabcbbcbcaabbacbacbbbcacbcccbbccaccbcaabcabaccbababcaabcccabcbaabcbabbababbccbcbcbbbaacabaacbababbabbaacbabbaaacaabbbcbcbacaaaababbbcabbcbabacbbbabcabbbbbaabccbabaacbbbbabaabcccabaacaaabbabbaabbbbccbbabbbbbbaababaacbbabcaaabbbabcbabbabcbcbccbababbcbbbaacbccaaabcabbabbababcbbcabacbacbcbaaabbaabcaabbbabcaabaccbbaccbacbacbbcbcbbaabccabcacbcbbabbacbcaacbacaabbbbaacabaaacbcbbbacbcbbbbbbbbabbbcbaaaacaabccabacabbaabbabababbbabbaaabbabbabbbcabcbabbcbabbabcababcbabbcbbbbcbabcbbacabbbabcbcabaccaaccbabbccbaaabbccabbaccababcacacacaabcaccbbccbbbbbbcccbacbbacbcbababcabacaababbacbbbbaabcbcbbcbabbabaacabcababbbcaabcabbbcccbbbababababcabacbcccbbbcaabbabaacaabacbcacabbcabbbabbccaabbcabcabbbbbaacbaaabbbbabbcbbaababbabaaaccabacbabaabbbbcaacababcabcbcccbacaaabbcccbbaacaabbcbcaaabccbabccbaabcbacbbbbaaaccbcbbccbbbbbaacbaabbacbbbbabcbcbccbbababccaabaababbbcbbbcbacbbbbaaaabbbbcabbcaabcaaaaacabcabcbacbbcbbbccabbbabbbbabccbbacbcacccbbcbbaabccaabaabbaababbbabbaabaccbaaaccbabcaaacbbacacbbcaacbabcbbbcbcbaaababacbcbabbacabbacabababaababbaaababbaaaccacbacaabacacbbaabaabcbcabbcabbaabcaccacbaccaaabbbbcbbcbbabcaaaacbbccbcccccbcacbbbabaabaaaabccbabbbacbcbabaaacaabccbbaaabbaabbabaaabccabbbacaaababcbbbacacbccbacbcccaaabbcaababaabacbbbabbacacbcabbaabbbbabbcbccbbabbabbcccabbbbacaaacbbcabacacbbbcababbacbccbbbcbbabcaacbabaabcaabbbcbbbbccacbbbbbbbcbbbacbbababbaaabababcbcbacbbabbbbccbabbbaababccbbbbbcabbbabccacbaaabbcacacbaabbababbacbabaacabbbbbcabcbabcbccbbabbacbcbabbcaacabbaabbbbbbababaacbabbbbaaaccbbcbacbacccabaacaaccabbbbcccabbaacabbabcaaacaaabbbaabccbbcabaabcbbbbbbcbccabbbabbaacacacbabbabcbbaaaabcbbbaabbabbbabacabacacbabcbbabbaaccacaccaabcbbbcbabcabaabbaaabcbbabcccaccaabbbccabbccbbabbcabbabbbacbcbabaacbcccaabbabaababcbbaaabbabababcbaccccbacbaababcacbabbaaccabababaacaacccbccbabbbbbcaaababcacbbcccbbbabaabcababbaaaacbabcabaccbabbaccacbcaccbacccbabcaaaabcbbabbccbccbbbaabcbbbacbaabbbabccbababbbcbbababbcbacbbabbcacaabbcabcacbbabbcbbaaccaababbcacccbcacabbcabbaacbbbbcaabbaacababcabcaabcbabbcbcbccbbcbbbbbbbabbbccabbbbaacbcbbbbcacabbaccbbcaaccbbbccabcabbcacbacbcbcbbbabbbbbbbbababbaabbbabcaabcbcbbbbcbaabbbcacbabccbbabcbbcbbbaacbacabbaabacbcccabbabcaaacabbacabccbbaacabbcbaaaabbabbabaacabbbcbbbbbbcbabccccabcabccbabbaaabbaaacabcbabbcacabaaababbcacbbbcbcaccbbabbbaababcccacbabbbaabaabacbbbabaccaacababbbbacbbbbcbacaacbcaabbbcbbbcaaccbbababaabbacabaacbcccbbbabbacbccabbbcbccacbbcabcbbbacbcbababbbaacbbacbccacaaaabcbbaaacbbbaabbaacacabbcccbbaccbcbbbcbbbbbccbabcbabacbbbbabbabcbbababacbacbbbaabcbcbbbaacbcbababccccbbcabcbabbaabbaabacbabbaabbbcbbbabbbcbbbbaccccbacaaaacaaabbababbaabbabbaabcbbbbaccbbacbabacbaabaabaabcbaabbabbbcabcaaabaacbcabacabacbbbbcbbaacaccbaabaaabcbcaaabbabbbbcaabbaabcbbabababacbbbbacacabcbbbaabbccbbbbbbaabbbabbacbcabbbccacbcaacaabbbbbcbbbbbbaabbcbbaabacaacbbbcabbbacbbbbccabacbcccaaacbbababbcacbacccbcabcbcbcaabbbbcbaabaccbbabbcbbbcbaaaabcccccaabbcbaacababacabaacbbabbcbabcbaacaaacbababbcabbabbcabcbacabaaccababbaaabccbababaccbbccababbbcabbacbccacabbcbababaabbbbbbcbabaabaacaacccbbccabaababcbabbccaabaaccabcbbbabcbcbcbbbaaabcaacbbbaacaacbbccabbaababababbcabbbaccbaaacbbbbaccbaabacabbcbbaaabbabacccbbcbbbababbaabbcbbbcbabcbbbcababbaccbbaabacbbbbabcbbbaabbbbbbabbbabbabccbccbbcbbbacaacbbcaabababcbcbbbcabbbbbcbbaabbacabacabbcbcacbaacbcbccababaaacbabaabbacabababbabbbbacccbccbacabaaccbbbbbcbaaabbababacacabcabcccaabcacbabbbabbbaababbccacbbbacbaabacbaaabbbbabcbcbabbaabbbababccabbbcccbbbabbacbbbbcbaabcbbaaaabaaaccbabbccbacbccabccacbcbabccabaaacbbaaaacbcbccabbbacabcbcbbabbabcbbcabacbbbbabcaabbaaaaabbbbbbabacbbaccaabacabbcbabbbbaccaabcbacccbacbcbbcbabbbbabaabaababaabbccbbbccabbcaaabcbbbaaabbcbccbbcbacbcbacbbbbbbbbcbaababcbaacaaaacbcbbacbcacabacbbbabbcabcccbccbbacbcaacaaabbaabcbbbcaaccbaccbbaabacccbaacabacbccbbbcacacbbcbcbcbababbbccbbcbaabbcbcabaabbbcabbabbbcababcbcbbcbaacababacbbababbbaccaabbacbcbbbbcabacabbbccbabaaabaabbbabbcbababaaaacbacbcabbbbaababbbbbcaabbacbaacbbbcacabbababaabcbbcbcacaabcaaccbbbbbbaaabaacabacabbacccbcbabcaccccaaabbaabbcccacbbabcbabbbabbbcbccbbbacbabbabababcbcababababbbaaacbccaaababbbaaabcbaaababbabbcababbaabbbbabbbababaababbaaabcbaaccaababacbaccbcaaaababcbbacbaacccbcbcbbababbacbabcbbcbbccbbbbbabccabaaaaccccacbbccbbbacbaccabaabcbbbbabbbcabacbaaabbababcbbbcbbbbacacbbbcbcbacaccacbbbabccaccbbcacaacaacbcabbcccbbcbabbbacbcbcbbbababcabccbacabaacbbabbcbbbcbabbabcbaabcbbacbacabaaaacaccbbccbbaabcccbbaabaacbcaabcccbcbbacaccbcabacabcaabcacbbbabbcabccaabbbcaaababbbabacbcbbabbabaccaccbaccabaccbbabbaaacbcacbbbbccaaabbcccbbacbbbbbcccabaccbbaacbcccaacacccabcabbbbcbbaababbcbaabbcabaacbacbbbbccacccbaabcabcabbbaabbbbbbbcabbbbabbaabaababbcbabbaababbaacaaccabbbcacbccbcbabcabbabcabbbbbbbabacbcbbbbbcbaccacbbcbbababcabcbbcbbbbcbcbbabbbabbabbbbcacaacccabbababbabaccabbbacacccbcabccccaccabaabccacabbbabbaacbabcbcbcaaacaccbbabbcabcababaabacaabbcbbbababaabbabbbaacbcbaabcbaaabcabababbaccbbcbbccbcbaaababbbbcbaacaccbbbcbbbccbbacbabaaabccaacaacbbbabbbaabbabcbbaaccaabbcbbbbbababccabcbccbabacbbbbbaacaabbcbbbabaacccaccacbbbcccaabaabbbcbbabbbcbbbacbbabbaaabcbbaabcaaccbcbbccbcaacaabbbbbbaaaababacbabbbcabbbbbabbbbbbabbacabccbaabababbaaaaccbcbbabbbababababbcbacbbababbabcbccbbbbbaabaaabbbabbbbcabbcabcababaaababbbbababbbcacbccccaababcabcbcaabbabbbbbababbacbabaabaaacacbccbaabbcbbaabbcbcbbbcaacbcbacabbbbabcbbacacabacabbcbaccbcabbabcbccacbaabcbcbabaaacaccbacaccaaacbbbbbaacbbbbbbbbbcbacaababbbababcaccbabbccccacaaacacabaaabcbaabbcaaabacbbacbcbbbbcbcbbbacabaaacaabcbabaaaccbccabcababacacccbbbcabcbcaacbbccaacbacbbbbabbbabbbacbcbaabcbabbbcabbabbbbbbaaacacababbaacbcbcbbaacccbbcabbcbabcbcbabbcabababcabcacbabbaacabbccaaabacbabaabababbaaaacacabaabbbcbaaacbbbbbaccabbacbbacabcacbbbacabbabcabacbbbabaacbbbbbcbcbbbacababcaabcbcababbbabaccbacbcabcaabcbababaaabaababbccaaccbcbbbabbbbbabbabbbccccabcababbbabaaacaababbbcacaaacbababbbcacbcbcaabbbcbabbcaaaaaccbbbabaaabaababacabbacbababcaabcbbbcbacaaabaaabcbbbbbaabcaccccbbbaccabbbbbaaccbbabaaccccbabbcbcbcbbccacccaaacbbcaacbbbbbbbbbcacbaaaccababccabababbcccbbcaccabbaababbcbbcbbcbcabaccabbbbaccacbbbbbcbcaabcaabbababbabccaabacaacaabacbbbbbbabbaabccacaccacaaabbbababbbbabbabcbbacacacbacbabbbacbcabbabaccbbbbbbabaccbbabcacccacbbabbbbbbbbacbbcacbbcbbccbabacbacabbcbbcaacabacbcbaababbbbabbbcaaccacaacabaacbcbaccaacbbcacaababacabbbbababbbbbaabbbbbbaabccaabbcaaacabcbcbbbabbbbbaaaaabaacbbcccbabaabacbabccaccbbaabababccacbabcabbaaccbbaabaabbbcbbbbbbaccbcabbbbabbbbbbababbcbbaaccbaccacbcaabbbaabacbbbbbcabbbabaabcbacacbbbbbbcaababbbabaabacabaccccaaabbccbacbababbcababbbbbcaccbbabaaabbbaacccbacbbbbcacbbbbbabbcaacbbaababbbacabcbabaaaaabbbbbbbbccbbbcacbbbcbcbbabaababacbacbbbaacbcbbcabbcaaaaabcacabacbbbbccbbbbcbcabbabbcbcacabaaabcaabbbabacabbccbabbbbbbbabababcccbbcabaacbabbbacbabcbaacbabbbcbaccbcabacbababbcbbbbabacabbbbbbbaabcbcabbbbbaacacbacbbbbacbaabcbaccbcbcacaabcbbacbaacacbbbccaabbbccaacbbccbacabbcbbabcbbbbababacabbcccbcbbaccaababbacccbbabcbcbbcabbccbbacacbaaabcbababababbcabbbbaabcabbbbbbbbabbaabacccbaacbbccbcbaabbbacaacbcbbcbbbabaaabbccaaabbcbbbbacbaabcbbaabbabccabbbbaabbbaccbbcbbbbbbabacbcbacabbbbbacbccabbaabbcaacbcbcbababaaaabacbaacabcbcacbacaaabcacbcbbbbaabbbccacbcbbcacacbbbbcaacbabbbcaabaccacabbbabbbcacaaccababababbbbacccbababccbbcbabbbbbcbbbacbaaacbaabbbbbbacaccbcabbaabaabbaacaabbacbbcbacbaaccbabbcacbcaaabbbabbbabbcbbcbbbabccaccccabcbcbbacccaaccaabcccaabbcabbbcbabbbbbaaaccabaaabaccabcbcbccaccbababcccbcacbbaabcbcabbacabccbaaaabbbacabaabbbacabccbbbccbaabbbbbabbaccaabbccaabbbbaaaabbbbcacbbcbbbbcabbbbcbbabbbbbbbabbbaabcbacbabbcbabaabbacaccccacacccbaacbcbbabcabbacccbcbbabbbaabbbbcbbbcabbcbbcbbabbbbbbaaccacbbbbabcbcacbbcbabbcbbbabbabccabbcacababcaccabcccacbcacaabbcbaabababbbbabacbbcabaabbbcaaabbcabccbcabccaacbbbbabbbcbbcacabbaabbcabcabcbabbbabbabbacacacacccabccbabbabacaacbbbbbacabacbbabbbaabcabbaababbbcbbcbabbcbbabaabbbbacbbbabaaabccaabacbcbbbabbcbbbcaccaaababbbcbbbacbbbbcbabbcacababccabcabcbaaccaacccbcbbabbcaabbacabbbbbbbbbbbbbabaacabbccabbbbbcbaabccbbcaabbbccacaaacbcbacabaabbccbcbaabccaabaccbbbcbbbcbbbbaababcacaabbbbcabbaabcabcbabacbcbbbbbcaaacbaccbbacabbacbbcabbbaacbabbbabacbbabcbbabbbbcbcacaccbbbbabbbaabbcabbbabcbcabbbbcbbbababcbacbcaabacccbcccbbcbbaacbabccaccbbacbcbbbaacbabacbbbbbbcbbbcababacaccacccbcaabaacaababcaaaabccbbcccbcbbcbcbcabbccbbbccbaacabbbcacbabccbcababcacbabcacbbacbbababbcbcabbbbcababacbaabaaabcaababbbbcaaabcababbbbccbaaabcbabacbccbbacabaababccbcaacbaccaaccababababaacabcaacbaaacaccccaacbaacbbaaacaacbcbaacccbbcbbbbbacabbbbabbbcabacbcaaabbbacbabaabacbacaabbbbcaaaaacbcccccabcbcabcbacbcacbbaccbbbcabaaaacbacabbcbaabbcbbbabbbabccbacbabaabaacacbcbbccbbabaabaabbcbcccabbbbaaacacbbacacbccbbaabbabacccbaaabbabcabcbacaaabcbabbaabbbbcbcbcbbccbbbaabaccbbbcbcbcbbabbbcacacaaacbbcaacccbcbbbbabbbacbaacbbabaccabbcbacbbaaacabacaabbcccbbcbcaaaacbbaaaabaacbbbbcbbcacbbcaabababaabccbbbcbcabaababbbabbbbbabaabcabbbbabaabcccbbbbaaaaaaabcbbabbcaababcbbbbaabbbcbbbbcbbabcbbcbaaccbcbabcabbcbacbbabbbcbbbbbacababbacbacabbccbbaabcbbbcbabbcbabcbbcbbabbcacaaacbcccacacaababcbacaabaabbabcabbbababcaaacabaabacabaaabacbabbbbbbbccbbbbabababcaabbcbcababbabbabbbcbababcbcbbbabacbabbbaaaabaabaccababcbcaaababbcbbaaaaaaaacbbacacbbaaabcbabbbcaacabaabcbbcaabaaabbcbbabcbbaabccbccccbabcbbbccaabbbaaaaabbbaacbcbbcbacbbcbaaababaacacbbaaabbacaabbbcbbacbcaabbbabcaccbcbbbcbcbbacbccacacabbcbcbbabcaababcbccaabbcbabaaabbcbccaaccaaaccababacccbcbabccbbaccababbbbcababccaaccbbaaacbbbcbcbbaabcababbcbbbbabacbabcacbbbbbaacbbbacaacbabacccbbbaacbbbaacaccbbbbbbabbaabbcaabcbbbbcabbaabbccabaabbbbacbccbcbcbabcaaaacbaabbcaaacbcaccbcbaaabbcbcbaaccaaaccababccabaabbcaacbacabbabaaaccabcbbbababcbcaccbbaabcbbbcacbbbcbbbbbbababcbbbaaabababbbcaabbbbbaccaacbaabcbcbccbacaabbbaaacbccbcacbcbabacabacbcbcbabbbababaabaababaccbccabcbabcaaccccacacbbbabccacbbaababcababccbbababbaabbcabbabbbacbbbcbccacbaccbcacbabbbbbbbccccbaccaabbbbbcbacbaabacbaabbbaababbacabbbbcabbbbaababccbaaabaccacacbababbabbbbabcbcabcbcacaaccbbaaaaaaccabababaaaabbcababbcbbabbabcbcaccabcabcabbabcaaaaccabaabbbbaaaacbccabccccabbbcababaabbabbcaacaaaaacabacccaabbbabbbcabacacabcbbaccaaacacaabcacbbbccabababbbcbcabbbcbcccbcbbacbcbacabbbbbacbacbbaccbabbbabbbcbbaaabacaccbcbbbbacbbbbbbcbacbbbbcacbbcbcbcbacbbbccbababcbabbccabcbbcbcbbaababccccbbbbbbbbcccbcbcbbcbbbaccbbabbbbabacaaababbbbbcbacbbbcaccbbbbabbbbbbbbcbacbabcabababacabcabcabbcabbaccacbbcabbbbaaccbcbbbbabaabcbbcbbbbaacbbbababcabaaccbaacbccbbbbbccccababbabbaabbbcbbbababcbcabbaaaabacaabacbbbbbbbbcaaabbababbbbbccbbaacbbacbbacbbaabcbbabbbabcbbcaababaaccaacbbbbcaccabcaabccccbbccbbbbabbcaabaaaaabbaabacbaabccacbbbabcaaccabcbbabccbcbcbcbbcbbbbbaaaaacabccabaabaacaaacaacbabbcbccbbbacbababababbcbcaccbbbbaacbbabbbccbccaacbabccbbbcbbcbcbacbbacaabaccbabaaabcbcbaabbbaaabcbbbccbcbabbbccaaccaaacccbbbbcbbbabaabcbbbbaababcaaaaacbbaacbbccbccaabbaacabbbacbacccbcbabbbbbcbbbabbaababaabcbbcacabbbbacabaabbababaabbcbbbbcbbbbbabbaacbbcaaabbbabccabcbbbbbccabbcabbbaaabababbaabbcbcacbccababcbbaabccbcccbababbbaaacbacbaccaacccbccbabbcccbaabbbbccbbcabbbabaaababbcaaaaaacbabccbbaaacaabbaccaacbacacabbacbbcbcababaabcbcbbbaaabcabacacbcbcbabcbbccbccacacccbccccaabbbbbbbbaabaacabacbabaabbbabcbaacbbababbababbaabaaccbbbbbbacbaaccbbbacbababbbbabbbcbbbbccbaabbcabaacaabbcabacacacbacabacabbbacbaabaaacaaabcbccaccaababaaaccabaaaaaabbaababbbaababbaaccbcaabbacaaabbbcbacbabaccccabbcbbbcababbcaccabacbcabbacccbabbbccbcbabbabbabbbccbccbaabccacbccabccaaaccababbbacbaabcacaaacbbcababaaabbbbbcabbbcacbaaabcacabbbccabbbbbbccaaccacccbacacbaabcbbbcbaababbbbcbbaababbbcbbbcbabbbbcaaaabababcaccbbcbbcabbbccbaabbcbacabacbcababacbabacabacabbbbabbcbbacbcccaabbbabbbcaacbacaabcbbbabbccaababcabbbcabababbbbbacabbcbcccaaabbbcbabacbccacbbccaacbabbbcacbabaabacabaccabacccababbabaabbbcccacbbbaaaccbbabbaaabbabbbcbaacbbcbccbbacbbabbaacababaaabacabaacbbabbabbaacacccbbcbbbababcacbbbcbaabcabcaacbbbbbabcabcbabbbabbcbabbccbbbbcbaccbacbabaaacbbabaaaacccabbbbaababccabcbabbbbbbcacbbbbabbcbababacccbaabaabcbbbccbbccbaacbbcbabcabbbbabaccacbacbbbbbabbbcbbbcbaabbcacccbcbaacbbbcbbacccaacabbcbbaacbcbbaabbacbaabacababbacbabbbccacaaabaabacbaacabababaaaacabcbbbaacccbbcccbcacbbbabbababaaaaababaaaabcaacbbbbbacabbbbbbbbbbaaaaaacabacbbbabbbabbcbacbbccbaacababbbbbbbcabbbbbabcabcabbcbccbaabacaccbbabbaccbaababbbbbabbacbaaaaabaabbcbbbabaccccccaabcabcbbbbcacbbaababbccabbccbbaacaaccbbaabcbcabaabcbaaabababbbbcbbabcbacaccbcabbacbcbcbabbacbabbbacaaacbcbbabccaabbbabcccabbabacaacccbbaabcbbcbccbaccbbbaccbcbabbbbbabbcbbaacabbbbcbabcbaccaabbacababccbbacaabbcaaccbbbbabcababbcaaacbabcbcbbccacbabccbbcaabcacabcbabcbacbaacbbcacbbbaacbbcacbbbbbbabbccbbbabbabcbaabcaabcaacbbbbbbacabcbaccbabbabbbbaacaabbacbcbbcbbbcbbaababcacbcbbbcbbbbbaababbaabbbbbbabcaacabccbcacbacacbbabccacbbcabbbbbbacbbaabbbacbbbbabbcbbcbbbbbabbabcbbbcbabbbacaababaaaccbcacbaccbbabbcbbacaccbbabaccbcacbaaabacaccbababacabcbbcbbbbaabcbabcbcaabbbcbbcbabcabacabcbabbbaaccbabaacccabbbaccbcbbbabbabbbccbbaabbabccbabcacaaabccccbabcbaabbcbcabaabcbbcccbbccbacaabbcbacaccabbcbcbcbbcbcbabcbabaaacbbccbbcacacabaacccbccbbabccccaabccccaabbacbcbbaabaccbacbcaabbbacccbacabcbccbbbbcbbabbbbbabbbbbbcbccbabaccbacaaabaacbbbacabbcbacabbbacbcabaccbbbbbbcbcacbacbbbcbbabccbbabaabbabbcbcacbbbacabbbabbbbbbcabbbaccbabacaaaaacbbbaaaccbbaabaacbcabbbbccbabbcbbbcbbbcabcacbcbabccbcacbcbbbcaaaacbbbbbaabababcabaccbbcaabbcbcabccbbabaaabcbbcabaababbabcbbbaabacababababcbcbcbbbabbbcabbbbabbabccaaabcbcababbcbcccbaabbbcbbacbcabacabbaabbaabcbaaaaabcacbbcccbabbacbcbaccbbcbaaccbaaaaacabbbcacbbabbaaabaaababbacbbaaabaabcaaaaabbbbaaabbaaacaabccabcaabaccbbbcaabbbabcbacbcbcbacbbbbcabbbbbcababccbcacacccaabaccbcccacaccbbabbcbbbcacacbaabacabacbbbbbbabccccaabaabbbcbcbcbbabcabaaaabbbcabcccaaabbbcbcacacacbcaabcbbbbabbbbaababbbcbbbcaabbbccabababbabcbccbaabbbaabbbbbacbaaccbccbcbbaabbbababccabcabbbabacbacbacbbbbcbcabbbbbacccaaabbaaccabbbabcaacbcaabbccbbcbbabbaabbabbacbacbabbbababccabaccacbbcbbaacbcbbabbaabcbbbbacbcabcaaabbabccbcaaababbcccaabbbacaacabbbbbacbabbbbcbbbbbababababcaacbaccbbbccbbacbbbcbbaabcabbabababcabbabcabbacbbcbabaaacbbabbbbcacbabbaabcbbbcbaacbbbcaccacbbbaabbaabcbcbabbacbccbcbcbaabbcbbcbabbcbbcabbabaaabcaaaaaabcababacabacabbbbaababaacaacaaabbbcaabcbbabbcbaabcbccbbcbbbbaabcabbcabacbbccaaccabacbbbbbcbabaaaacabcbccbbbbbbbabacabbbbacacabbcbbbbaacaaacbccbcbbaaccaaabccbcccaccacbbbaaabbbbcaaccbbaaabccabaaaabcacbaabbacbcbbbccccccbabbabaabbbccbbbcbabcabaaababaaccaabbcbbabbbaacaabacaaabbbcabbbbbcabbcabccbbbbbcbcbabbacababacaccabaaaaabcbbbaabbbababccaaababaacbccbbbacccaaaabbacbbbbbacaaacbccabbcbcbacacbcaacbabacbbcbcbbabbcabaacccbbaabaaccccbbbbbaabcbccbbbcaaababbabcccbcacaabbbccbcbacbccaababbababaccabaabbcbcccbcbbaabcabcbcabaabbacbbabcaccaccccacbcabababbcaabcbabbaccbabbbabacbabbccccaacbbbbababbababbbcaacbbbcbbbcccabbbbabcbbacbbabaababcbaabcbcbabbaaabccabbaabaaccababbcbcacbacbbccbcbacabbbcabccbbcabbcbcbabcbbcbaacaacbababcabbacbbaabababccbcabaabacbbaaacaacabcbaaaaabbbbcaacbcbbbbbbbcbbbbcbcaabcbacbcbabbabbcbabaaababaacbbabcbbcbbbbbbbbbbbacbbccbacabaccccaabacbbbcbbabbbcbaabaabbaabbcbbbcbbaaaabaabbaaaaaababbcbccbaacbcabbcbaccbcbcbacaabacbababacbbbccbabcacaaabcababbcccacababcaccbabbbaabbcbbbbbacbbaacaabbacaccbacbbababbccbbbccabbbabbabbaababacccbbaaabaaccbbbababbaacbcabaabbbabaaaaccbccbaacbaacaabcaacbbcbcbbcabccbcacbbbbbacccaabbbabbbbcbbcababaccbacbaabcbbccabbcbcbccabcccbabacccaabccccabbbcabacbabccccbbcbbaacbbbbbbbccaaaababcbaacaaacabbcbbbbbcacaabcbbababbacbcacacbabcaaabaaaaabbacbcbbabcbcbacbcaabcbbbabcbacbbcabbccaabcbacaacababbcaabbbbbccbbcbaabbaabcbcbbbbcaaacbbbababbacbbacbacacabcccbcacbbbccbbbcaabbbcbcacbacbcabacabccaacbbccaaccabbbbaabbaacbabbabababcbacaaccbcabcabcacbbbbbbbbaabaacbabbbcccacbccbcbabccabcbacacbababbccbbccabacbacbacbbbbcabcaaabaccbccbcbcbbcbaaaabbcbbaacbabababbaacaccbacbbaabbaababacbcbbbcaacabbcbbbbabccbaaabcaacbbcbacababbcbaabababbcabaaacaabcccabbabbbacbabccaabbbbbcabbbbaabccacaabcbaacbbccaaababcacbacabbbabbabbbbacacbabccacbcbbbaabccaabaaabbbabcccabbbaabbccbaabcbbbabaacbabccccababcbbbbabbabbcbcaabcbbcababaabbabacabccbabbcaaacabbaababbbabcbbbbbbbbcaabaccbbcbbabbbbabbcbcbabaabaacbcaacbabbbaaaacaabbacbabbbcbbbbcbcabacbaabbabaccbabbabaabcaabbbbccabbbbbaaaababcbbbbbbccbbbccbbacbbacaccabbcabbbbbbbbbccabaacaabacbabbbbbbbaccabcbbbcaaccbcbcbbabacbbaacabbcbcbaaaabbabcbaaacbbababaabcbbaabaabcbbbbbbaabababbabcababacbcbbababbabccabbbaccbcaaacbbbbcaacbbcbbbaaaabbbbbccaacabababbbbbabcbcbaaababbaacabcbccbbbbbbababcbabaaccbcaaaacbbbbaacbabbcbcbababcbabcaaabbabbaaaccbbabcccababaabcbaaacaacbcbcabaaabcbcbaabccbbcbabbccbcbbbababaaccbbcccaccbaccacbcbcbbbbcbcaabcbabbbbacbcabaaccbbbbbbcbabbbbbcabbccababcbacbbcbaaababcaaabcabcbababbabcccbcaaabbbababbbaacaababbaaaabcaabbaabcbacbbcbbbabbbcbbcccacbacbcbbabbaabcbbbbacabcbbccbbcbabbababcbbbacccbaabbbbcbcbabbababcbbaabccbbbbbabbabbbabcbaaaccbabbcbbcbbcbacbbcaacabbaaabbbacaaababacbcbbbcbaacbbbcccbaacbcaaabcacbacaaaaacacacbbbabababaccaaaabcbaaababbbabccbcbbbbaaaaabababababbacabcabbaabaacaacbbbcbcabbbabaabaabbbcacaacbbcaacbabcbbacbcbaabacaaabaacbcaacbaaabbcbcaccbbcacbabcbbbaabcaaababbccbaccabacacaccbcbbcabbbcacbcbbaccbbabbabcaaabacbbaccbcbababbbbbabccccbbcbbbbcabcabaabbaabbacbbabacabbbcbbababcacabbbbccaccacbbaacbbbbccacbaacabbabaabaaababccbbaacbacbacbabcaacbabbabacaaccaabbcbbcccbaabbbbcabacababacacbccacbabbabbaabbabaabbacbacaababcccabcbcbabcbcbbcabbcabbabcaaaccccabbbccbaaccbbbccacaabbbbacabaabbcaabbcbabccccabcbaabcabcbaacbaccaaacbbcabacbbcbbabbcbabcbbbbbbaccaaabcacabaacabbaabaaaacbcccbacccaabaabbbabbaaaaaacbbaacaaaacabcbaacabbacaacacbbbbbbbacccabbccbbbacabbbaaaabbbacbacbaababcbccbabbaaaacabbabbbbbaabbccccbbbbbbcbaccbccbbbaaabbbbbaaabcbcaacabacbbbbaacabcaabbbcbccbcabbcaccbccbbcaabbbaaaabcaacbaaccaacbabaaaabbbabaaccbbacababcbcabcacbcabbbcbbbcbacacaaabbbaccacbababbbbccbcbaabbcabbbcacabbbbbbbbcaacabbbcacabaabacabcbaaaabbacabacbcbcbbbabaabccbbbbcaabbbaabcacaacbbbbcbcaabbcbbbaacbcabbcbbcbcccbbcaacbabbcbabcccabbabbbaaaaacccbbbbbbbbabbcbccbcaccbbabbabbacbbacbacaacbaaaabacbaacbcbbbbabcacababaabcaabacbcbcccbabbcabbabbabcbcbbcaacbaaaabacbcaabababbcccbccbcabaaccbccabbbbaaaaacbacabbbcaabbcabacababacbabbbbbaccaababcbcaababbbabbbbbabbcbacbccbbcbaabbccabbababaababaaccaaaacabcacacbbbccacabacbbcabcbcbabbbccbcaacabcabaccbccacacaacabaaabaaababcbbaaababbabcbabbcabcabcbababbbbbaabbccabaacbbbbcbcbbbaacbaabbababbaaabbbacbbbbbbbaaccacbbbbbbbbbccabcbacbbabcacaacccbbbbbbbabbcbacbccbbbcabbbbbbbabbcccbabababcbbabbbabcabaababbbbaaaaaaacbbbaabacbbbacbcbbbcbbbbbccacbaaabcabcacbbabcbbbcaaccbacabbaabbbcbccbbbaaccbbacbbbbaacbaaaccbcbcbabbabaabbbbacbabacbacbcbbbbbaaaabacbbbcabbcbbccabbbaabcabbaaaacbabcccbababbababbcbbabcaacaccbabbbbbabbbaabbcaaabacbbcbaabbababbbcacabbbcbcbbbbbcbbabbaaccbbbccbbababababcaabcbaacaabbcabcabbcabcbbbbbacabccbabcbbbbbbaabbaccbbabcabccbcacababcacbaacabbbaaabbaacaabbbbbaababaabbcbbbaabaabababbbbbbbbbabbbcbbbabaaaaabbbbccbcacbbbccbcbbbcaaabcbbacbbcaababbababccbababbaaabbbabacbabcbcabbbcbbaababbcaabbbbaabcacacbabbacbcabcbbabaacabcbcabbacbcaccabaaabacabcbcaccabbbcaabbbaababbabbbabbbabcbbcbccbabbabbcbbbacbbcbabaaaacbbabbcbbccabbbbbccabaaacbbcbaacbcbbbbbbbbbbbbbcbbabcbbabbacbcccbacccbbbbbacacaccbacbcbcbccccababbacbccbabcaacbbcaabbbabbbcbbbcacbabaaabbcbbbbccbaccababbbaaaaababccacacaabbbcaaabbbccbccbcababbbaaacaaacaabcbbcaacbbacabcbbcccbbabcaabbbcbabbabbbbabccacaabbbabbbccbbaaabbcabbcabacbcbabbccabbabbbabcabbabcbcbabbabbababcbbbbabbaabaccaabababababbbbcaacbbabbaaabaaaacccbaaababbbabcbbbbababcaababcbbbbabcbabbbbcbcabcaaccabbbaabcbbcabbbbcabbacaaabacaabbabccbcbaacccabbaaccbbbabcbabacbbbbacabbbabbbbcaabcbbbbaaacbbaaacccabaaccbcbaababacabcbcabcbbbaacbaaccbaaacababbbcbaaaaccabaccacbcbaabbbacbbbbaabcbccbcbbaccbaacbbbbbaacaabbbcbbbbbcabcabbbbabababbaabbabcacaabbbbbbccbaaacbbcbbbbaacbbabbcababcacaacbbaabbaabaabbbbbbbbabaaccbbbaabababbcbabbcaccababaacbcacbbcaacbaacaacbcbaacbccbacbbbbcbabbacababbbaabccbbbcacaacabcbaaabcbbabbabbcccccbacbabcabbcbcbabbbbabcbbabbcbabcabcbbcabaccabacbbbbaacaccbccbabbccbbbbccaaabbbbcccacabbccabcaaacbbcbaaabcccccabaacbcacabcabccabcababbbbcacabacccacbabbcbcacbbbbbbacaccbbbbaabcbcacabbcbbbbcabaacbbbbccbaaabbbbbbbccbbccacccaacaaacabacbbcabcabaaccccbcbcaacabbaaabbbbbbabbaabbabcababbcabaaababbaabaabacbaacbccbacacbaaccccbbbacbcbcbcaabaacaaabcbaacbaccbbabbcabbacbbcbbabbabbcaaacbcabcbabcbabcbabbbaabbacbbbaabaabbacccbaabcbbbcabbbbaaccbbaaacbacbbbbbcabbaaaababcabbbbbabbabcabbaacacbcccabcbabbcbababbbababaababcccbaabbaaacacacbbccbbcaaccaccbacbabcacbabcbabacabbcbacbcbbaabacbabcbcccbbbacaacbbbbcccccaaccabccbacabaacbacabbbaabbabcbccbacaccacbcccacbaaaabaacaaabbcbaaaaabbbcbbabbbabccbabcbabbaabcababbbccabbaacabaabcbbbaabbbabcbbcabcacccbbbacbbccbababccbbbabbcabbcbabacababcaaaaacaccbcabaacaaabbbbbbbabbccbacabbbabbcbbaabbacabbbbcccbabbbcbbcbabaabbbbcccabbccababcaaaabbbcbbacbaabaaacabcccaacaabababaabbbbbbcaabbcbbcbaccabbbccbcbcbaaccaabbbbcbbcacaccabaabacbbcbbaabbaabbacababbacbbbcbacbcacbbcbbabcccababbbbbaaccaabbaccbbbcbbabaaabbcaaabaaacbbcaaabacaababbacbbbbaaababbcbbacaccbaaccabccbbcbaaabbbacaaaaabbaacbcaabcacaccbaabbabbcbaabaaaaacbacabcbbaabbccbbbaabbacbbccbcbacccbaaaccaaccbbbbacacacbbbaccbcaababbbaabccbbabaabbcbcbbaacbbcbcbbbabccabcacbaabbbabbcbbbbacaabbcbbabbcbcaacabbcbbbbcabbacbbcbbccbabbcabbccaaabbbcaabbcaaaaaacacbbacbccbbbacbababbbbbabcabcacccaccbbabcaacbbbbbabcbcbbbacccbabaaabacbcbcbaabcaccabbaabacccaabbacbcbabbabccbbbbbacccabcccbcacaabbbaabaabbbaaabbbbbcacbaabcaaccbbbbbccbbaababbacaccbbabbbbcccabccbbbaabbcaabbcbbcbbaaccbbbbccacabccbacbabaabcabbbcabacababbabccbbbaaccaaababacabbaabcacacbbacbbabbaaabcbbcbaccabbbbcaaacbaabbbbbbaacbbcabcbcabccccaaabbaabbbacbbaaaabacbabacccbabbaabbbbccbaabbbbabbbbbbabbccacaccbbabbbcccbbacbcbacbcbbacbbcbbbabacbcaccabbabcaabaccbbcaaaaacbaabbcbbcabcabbbabcccccbbbbaaabcabccbcaaababcabcbbcbabbbaacbcaabaaaaaabaacaccaacbcbabbbbbaaccbaaacbbababcbacccabaabcbcabbcbbbbbcbaabaacbbabbacabcabababacbaacbbbacacbbcbacaaacabbabcbbccacbbcbccbbbabbacbccbcbcbbbbacabbbbbbcbaacbcbbaccbabaabbbabbabcabcbbbccbbbabcbabcbbbbbccbbaabbcababbccbbaccabcaacbacabcaaacbacbaabccbbbacbaccbacbabaaaaacabcabbbcccbbabbabbcbcbbbcabcbbbacbccbbaccbbbbacbbbcbaabccaabccaaaaabcbcaccbcabacaabcbabaccaacbbbbababbbaababaaabaabbbcabababccabcaabacbbabbbbbabbcaabacbabccabbabbbacabcaaacbccabbbaababbbbbccacbcacbbaabbccabacbbcabbabcccabacabbcabbbbbbaabbaaabaaaacbbbbbbacccbcacaabcabcbbaccbbabcbbbbcabbbaabccabcbbacbcbbcaabacbcbccbbcabbacbaabcbcbccabaababcaabcbabbabaababababbcbcbcaccaccaaaabbbbbbbabbbaabbcbbacaacbacaabbbbbbbbabbbbbaaacbacbcabacaaacbbcccbacabbacabcabbbbcaabcbbabbacbcbabaaabbbbcaabbacaaaaacacababbbbbbbcbbbcbbcacabcbacabbbbbaccbcbcbcccbcacaaaacbabbccbacbcabccacaacbbbcbabccbbcbbbcaabcbcbbbabbaaabcaacbcaacbbacaabcbbcaabacabbbbbbbcbbaacbcaacbcaabbcacacbcaaacbacabcbccbbbbcacaaacbacbbcbaabaaabbccbcabbabbbcabbcbbbbbbaabaaabcacbbbbbbabbcbccaaccbcabcbbbbabacbabacabbcbabacaaacbbbacbabaaacbacaacabcbbccbacbcbacacbbbabbbccacbabbbbacbbaaaaacbaccaacbbcacaaaaabcbbccbabbbabbbcbaacbcabacaabccabacaacacbabbaabccbacbbacabcbbbacbbbaabbaabacccbbaaaaabbabaabaaaababccbacbaabbacacbcbaabbbabcbbbacabcbaababbabbcbbbbbaacbabbccabcabbabbbaabcbcbcaccbabbaabcbaabababccacbcbacabccabcbbaababacbabcbbbbbacabcaabcacabbabaabcbaabcbbacbcbbabbcbccbcacbcccabcaaaacbcbbbababbcacccbbbabbbbacbbbcbbccbababbccbacaacbbaabcaaccbcbbbccaabccbbbababbabbabbabaccbabcbbbcbbbabbbcacbbcbbaaabcabcbaacabcbabbacbacbbcbbacaabbbaabbbabbbbaababacbcbacbbabcbbccbababbbbbabbabaccaaaacbbbbcbcbbbcabbbccaccbcabaccaabbbbabccabccbcbaacbbcbabbcbcbcbacccbacaaabbbcbbcbbbbbaaacbacbbcccabcbcbbccbacaacabbabbabbbabbcacacbacabbbcbacbbabaaccbaacaccabbbbcabcbbacbbabbaccbaababbcccabbcbaaccbacbbaacbabbaaacaababbacbaccbbbaccbbabcbcbbbbcbbabcaaabaaabcbaabcacbabbbaabbbabcbbacacabacabbabcbcacbbaaabbaccccbccbaabcbababaaabbbbaaaccabbbbabcabcbbacbaabaacbbbabbaaccabcbcabbbcabcccbcbcbaabccacabbccbababbcabbccccbaacbcabaaabbbcbcccabcaabccbabbbaabbcaababaacbbaababbccbbaaabcbbbaabaacabccabaababbabccababcaabbbbabaccccabbbcbbaacbbccaaabbbbabbbaaacbbcccbcbcbbacabbbcbaababbaacbbbbbcabbbcabcacccababacbcaccabaabcbbaaabbbabcacababbbbbbacbaaaaabcababcbcabbcbcbbcbbbabcaaaaabacbbaabbbcbaacaacacaaccccababbbcbabbaaaabbcbbacbbbbcccbacbbbcbbcbbbbabbaaabaacbacacbbaacccbbbcbccbbbbcbbbaabbacaaabbbbabcccaababbbaacccccbcccbabcabcababbcacbcbbbccbbbbccbaaaaabbaaacbccabcababbcbbccbccbbabaacacacccaaaaabbababcabaacabcbbabbaaabbabaacccbbaaabaaababbcabbbccaaabcbbbbacbbccbacbbaaccbbbcabbcbbbbbcacbbbbbbbabbbbabbabbacabccabbbacbbabbbbabccbabbaccaabacaacaacccbbbbcabcbabcaabbaaaaababaaaabaaacbabbcccabacaabbbbcbbbbaabbaabacbbbbaabbcbcbbbcbbacbacbccbbcbbcabbcbbbbabbcbcbbbbbaaaacacbcabbaabbbacabbccbbbbaaacbbbabcccbcccabbaabccbacbbcbbaacbaccabbabbcaabbbacbbaccaaacbbbbbbcaaacbbbaacababcccabccbcbaabcbcbbbbbbaabaabacbacbbacbbcabccbbbabcbbaabbcbacaabcabcabbcbbabbabbaaabbbacabaababbcabaabbbcbabbbcabcbaaababbaacabbabacaaccbabacabccabbccccaacbaababaabccaaabbacacbaccaaccbaaccbaacaccbabacaccbbbcbbacaabccbababababacabbbcabbbbabcaabbbbaabaacbccabbbcccababbbbbaabccaabcbcbbbbabcbbcbcbcaacbcabbacbbabcacbacbcbbbabccacbccbbbaacaaababbbcabaabbcabcbabbabbbcabbbcbccccacabbbcacaaacbcababbaabbbabbbbbbcbbcabcbaabaacabacaabbabaabacbbbbcacbbbbbccaacbbbacacbaabbbcbbbcccbbabaabbbbccbcbcaabbacccaabbabbcbcaabacbbbcacccbbaccababbaabaababcbcbbcbabbacabbbcaccbbcabbcbcabbabababccbaaacbccbbbcabbacbccbcbaabbbbababaababaacccbcabaababacabbbaabbbbbaccbbaabcbbabacbbbbbabbacbbacbbcbabcbbaabbcbaabbabbbababcbbacbcaaaabababaccbbababcbaababbacbaabbcacbbaabcabcbbabccabbbbcaaaacaaabacaaacaabbbbbaaabccbbbbabbababaabbcbaacccbcccababaaccccabcabbacccbcbabbcabbbabacbbabbbabbbbaaccaaabbaaabbabacbbaacbbabcacbabbaacbaabccbcbacbaccacbbabbcbbbbbcaccaacbabccbbcababccabcbcbbbbbcabbabbbabbbababcbbbbabbabaaacbbbaabbbbbbbbcbbbaacacabaabaccaabccbabbbabbbbcbbbbacbababcbacacbababcabbbbbbbababacacbcabbbbacbbcabbbcacabbbbaaccabbcbbbbbbbbaaababbcacacababccbbaabcccbaccccabacccaaababccbcaabbaacabbcaacababacaabacbabcbbbbcbbbbacaacabcbabcabbbcbcaabcbaaccbaacabaaaacaaacabbacbabbbbbcacaabcbbbbaabaaabbbcaaabacabbabbbabbacccabacbccbccbbbcbaabbabbabccbcbbaaabaccbacbcbbcbabacaacbbbabbacbbabbbbcbabbbbccbabbbcbbabbacbabbbccbcaacabcbabaccacacccbbbbcbcbccbbacbcaacbbaaaaccabcbabccbbcbcabbbbcccabbaaabbacbbbabbacbbbbbabcbacbaacbbcbaabbbaabbcbabcbcacbbccbcabaabbabcbcabbcabbaaacccbcbcbccbabbbaabbbbbbbccbababcbcbbbccbbabcaaababbccbbbbcaabbabcabccbbbcbbabcabaaacbabaaaabaaaccaaabacbaaabcabbbcbabbccabbbbaacacaabacbabcabbbcacbaabbbbaacbcbcbbacbcbbbbbbcabbbbabbbabbbcaaacbcaaaaacbabbabbbaaacbbabbccbbabcbabbbbabbccaabacabbccabccabaccbbbacbbaabbcaaccbabccccbabcbbaabcacccacacbbbccbbcabbbaaabbbabbbcbcacbaabbbbbbcabacaaccabccbbaccabbabbbbabbabcbcbacbbcabcbabbcaababcabbaaabbaacbbbbbcaabbaabbaccbcccccabbbbaabccbbabbabcbababbaabcaabcbacaaaabaabbabbbcbcbbbabaacacbabbaabbaaacbbccacbcabbbabcbbababbbabbcbbabcacbaabcbbcbbcbcbcabbbbcccbbbbbcbcbcccbabacbbbcccbabbcababbbbbabbbccbbbabcbbbbcbbaaabacaabacbcbbbacbabcbaccbbaabacbaaabcccaacaabcabbcabaabbabbbabccabbabcbabbabccbbcacaaacaacbaabbbcabbaaccaabbcbcbbabbaacbababaabbabaccbacbcbcccacbacbcbcbcbcacabaabaaacbcababbbbabbbaccababbcbabababbbbccccbaabaccaccbaacbcbabbaaaccccbbbcbcbabbcaacbabbbbbbbbbbcabcbabbabaacbccbbabbbcaabbbaababcbbbcacaaabcaababbbcacccbacabbcbcbbccbcaccbaaababbabbbcccbbabcbcacbabbcbacaabaabbbababaabacbbbbcbaacbccbacccbcbaacbabbbbbcbcbbbbcbaabcabaccbcbbcaaaabbbbacacbcacbacbbbbaacbbccacbcbbbcbacaabccbabcaccaacbaaaacccbabbacabcbcbbaabcbbaaabcacbaaccaabacabcaacbabcbcaaccabbaabaaabbbbabaabcbbcbbbcababaabababacaacbbaaaabbcabaabaacbbbbcbccabcacacaaaabbbabcbaabcabbacccacaccaacbabbaabccbbbbcbaabcccaabacababbaaabbacbcccbbcbaacacabaaaaccabbabbaababbbabcccbbbabcbbcaabcabbbbcbcabbabbacbcbaccbcbbbbaababbacbbbaccaaacabacaacbbcbaacbbcacababcbbabbbabaccacbbacbbcbaaaaaacaacabbbbbbbbbaabacbbcaabaabbabbbababbacbabbbcacbabcbbcbbcbbbbacaaabbabbbacbcaabbabbbccbbabacabbbacbaaaccaacabcaaabbbbabbabcacabaaabacbbcabaccacaabbaaccabbbcbcbbbabcabacabbababbabcbbbcaaaabbaaccbbabbabbbbcbacbcbabcbcbbcbabababbbcccabbaaccbccbbbcccbcbaabaaaaabbaabbbbaaaacbbbcbcbbabbbbcbaccbbbaaaccacaacaccbabcbbbbbbcbccbbbcbbbacbbbabbaaabacbaaacabcaacaaabbaabbaccabbaacbababcbcaaaabbcabbbbbabbabaaabacbabbbbaaacaabacccbbbcbccababbbccabacabcbababbbaababbbbabbabbbbcbcbbaaabaccbbbcbbbbacbbbabbcaaacaacbccabbacccbcabbcbbbaaabaaccabaabaaacacbbaacaabbabbbcccbbbbabbbbaaabbabbabbbcccbaaabcbabbbcacbacacbabbbcbaccbbbababaabbbaabbacacbaaabbccaaacbaabaabbabccabbacabbabacbaabbbbbabbccababaacccbbabcbaabbcbccabcaabacbcbbacbcaabbcacbcccabbacbccbcbabcbacbbcbaccccbcbbcbccbbababacbbbbcaabcbbacbacbccababccababbabbbbcbbacabacabcabbbaaabaabcacccbbcaacbabbcbabbabbabaabbcaabbcaaaabbbacacacabbbbbcabbccccbcabccbbabccacacacabbaaabbbcbaabcbbcaabababbbbbbacaaccbcbaccabcbacbacbcaabbbaacbbcbbcacabbcacbcaacabbbbabbcccacccbbbbbccbacbbbcabbbbbaccaaabacacabbcacbabaaabbacccababcbcbacbbaacabacbbbcabccacacbbbbaacbbbbcbaabaababbacbacacbacabcbbbbbbcbcbacbbcbcbcbabacbacbbabbcbbbcbbbcbabacbaabbbabbbbbbaabcbbbcbbbbabbacbaaabcbacccbbcbbcaabaccbbcaabbbcabbbbbcbcbbaabcbbabcccbbbcbbacaacaacbcbbbaaacabbbaabbacbbcababbccacbabaabaabcababaabcbccabacababbacaaabccbbcaabaabbacbbbbbaaaccaabbabaabbbbbaacbbaacbcacabbcaaacbcbaaccaccbbbbbccbaaabbabbaabaacbbacbabcacbcabcbcabaababcabbbcabbcbcbbbcaacabbbabcbabababacabbabcacbbaabbacbaababaacbabbcaaabcacbbcabbbaacbacaccccabababaccacbbbbbabcbacbcbbccacbbaaacbccbcbaccbbbabbacbacbababcaaaabbbbbcbcccacbaabbacbaaaacacabbbbccacbbaabbbabacabcabacbbbbcbbbabcbaaacbcbbabbbcbabbabbcabbaabacacaaabbaababaabbbabccaacacbaacbaabbabaccccaaaabbbbaaabbcabbbaabacaabbabbbbabcbbabbbaacbacccaaccaabcacbaaacbcacbbababbabbcabbccaabbacbabbcbcbcacbcbbcbbbbbcabbbcbbbacbabcbbbbbbcbbabbbbbcbcbbabbcabccbcbbabbaabbbcbacbbabbbbaabbcabcaabaababaaccacbbaaaaacbbbccbbcabbbbcbbbabcabbabbbbbccabbabbbcaabcacbcbaacbaabbbcacaacbcacabacbcabbcaacbcbbacbbbbbabbacabaccbbababcbabbbbbaaccabbbacbabbbabaabaaabbaaabaabbbbaccacbacaababbbacabacbccaccbcabbbbabcbcabcbcbbaccacacabaccbbbbccbbcbcbcbcabbccabbbaabbacbbbbabbbbbacbbcabbaccbbacbbbbcabccbcabbccbbbbbabbbabbbcbbbcacabaaacacaaabccbabccbbccccabbbcabbabcbaaaaaccbcabbaaabaabccbccbbbbabbabbabbbaabcbaaacccbbabbaaaabacbacbacbccaaabcaaabbacbcbbbbaaccabaabcbbcacbbbccbbccbabbccbbbbccccaaabbcbbabbcbcabcccabccaabbbbbbcbbbbbbbbabcbcbabcbbcacbbbbaaccbacbcabbbababbbbbbbbccbabcbbabcbbbcabcbbbcbcabbbcacbbbbacababbbbabaabbabcabaccbbbbcbbcaacacaaaabcbcbcbacbbacaaccccbcbabbbbbbaabbbbabbabbcbcbbcbbbcbbcbbabbabbabbcbbbcabcbbbcbbabbbcbacbababbbbbcbbbababbcbcbcaabbacabcabaabbaabbabbacbbcbbbcbacbbcbbbaacabbcacbaabacbbcaaabbcaabbcccaabbbbbbcbababccabbcabaccbabbbabbabbbbbbcaabbaccbcbacbcbbbabbccbabbabccbabacabbcccbcacacbaccacbbbbbcbabbcbcbccbcabbbcbbabbbccaabcbaaacacbbaaabaabbbacbabacbacbccccacacccacbbabbcaabaabcabcbcbbbbacbbcacabcacabcabbabbcacbabbabcabcabbbbcbacbbaacbbcbabaaabaaccaaabbbbbabbbccbabababccacabbbacabbcbacaaaaabcbbbcbabcbbcbbcccaaababbacbbacabbcbccbcccababcbcbbaabbacbabbbbcacabbaaabcccabacacabbabbbcacbcaabaaabbaaabaabcbbbbbcaabbcbbbccabcbacaabaccbaccaacabbbcbaccbacaaabaaaabbcbbbaaacbbaabbbbaaccbcbaacbabaabccaaabbbbbaccbbbbaabcacacbbaabaabccbaababbbbacbaacbaacbabacbabcacbccaacbbbbcabbabcaccbcbbcaccaacbbaabaccabbccbbbbbbcbbabbbccaabbcabbacababbabbacbcbccbaababcabcabbbabbbababababaaaccbbaccabbbbccbaabbbacacbbaccacbcaacccabccaacbbacaaabbabbcababacbacababbcccbcacbbcbbbcbbaabaacbbbaaabbabbacbbacbbaaaccbccaabbcbcbabcbacbccabacbbbbbacabbbbabcbaaacabbcbbababbcaaabbbacaccbabaccccabcbcbbccbacbcbbbacaacbcbbcbbbabbbabbbccaabbabbbaaaababcbbbacbbbccbaccbbbbaacccbaccacabbccabbabbbbbaacbaaaacbbbbbbcaabbabbbbcbcabbbaabacbbaccbbcbbcabbabcccccbbccaabcabbacccbbabcababbabbababacaabcaaabaaccbcbbacbbbbccbaccbacbcbbbbaccbbabbbbcbabbccacbbabaaabbccbbbcacbcaabbcacabacacbbbacaaccbaaacbcabccbabbbbcbaaacbcbaabccaabbcababcbcbbacabaabbbaaccbbaababacbcabbbbabcccabcaacbbcbabcbbababbaabbbbcabbcbbacbbacbccbcaccbacccaacbaacbcbbabaabbabbbbabcbcbbaaabbbbabbbababbbabbaacbaaaaccabcbcacaaccacbaacabbbabacbabbaaaccaacbabbabcbcbcaaabbbbbbcbaaacacccacbacbbbbbbabcbacbabbaaacbcccaaabbcabcbabbcaabacababcabbccaacaabbbbbbaaabcbbbcabacbbbabcbbaacaababcaaacaccbaaaacaaccccbacacabaaabbcbcbbbcbaaaaaacabbcbabacacbbccaacbcbbbbaccabbbbcbbababcababacbaacbaacbccbcabbcbbbacbbbbabbabccbbbacbbcbbccabaacabbbbacbbbbccbbcaacbbbbbcbbbaccbcbcabcabcbaabbcbbaacaabababcabaaccbbbbabbbbbbbbcabbcabbacbacbabbcbbabcbbcbbaacccacaabbcaaacaababbcaccbccaabcabcbbcbcbaccacbbccbaaabcccabbbbbbabbbbbbcacaaaaccabbbabbabbcbacbcbacbaaabbbaacaaaabbabababbaacbacaccccababaabbababccbbccbbccbabbbcabcacbaaabbbbbbbabbccbbbbcccacbabababbaabaabbacbcbbbabaaaccbabcaccbbcabbbbaaccaaacacabbabbbbacbcacbbcbbbaabcbcabbccaacbbbbaacbbccccbaaabcaaacccbabbccccabbbcbbcbbbbaacabcbbabbacbaaaaaaaaacbbaaabbacbbcababbacabbabccacbaacabbbbabbbbbbbabaacaaacbbbcaacabacbacacbbccacababaccbcbbbbccacbbcbcbbaaaacbacaaabccaaacbaaccabbaabbcbbacaaccbbbccaaccacbabcbbcacabbcbcabbbcaacccccbbccbbabbacaccbbacaabcbbccaaaabbcbbbcbbacbababbbbbbccbbbbcbaaaaabbbcbbbbcabbbbbcaaaaababacbccbacbaabbbacccabbacabaaaacccbbcaaccbcabbbbccbcbaabbbbbbbbacaaccbaabcbaababaacbbaabbacabcbaaaaaabbbbaacaabababbcbbbacbcacbaaacaacccccaacaccabccbacbabccaaabbaccabcbbbbaccbabcbbccacbaccbbbabcbbcabbacccaaabbbaacbaccaccbccaababcabbaabababcccccbcacbcbbbbbbbcbaaaabccaacaabbbbacabbaccccaccbcbcaaccbbbacabbaabccbbbaacabcccbcbcbabccabccbbcbbbaccaabacbbbcabaaacabbaaabbbbaabbabbbbaabccacaacbbccbabbbbbbbcbaaababcabcbacaccaabbabbccbbbbcaccbccbcbcccbbbccacccbbbacbaaaaaabbbbbaababbcbcabbbabbcccacbbcaacaaaaabacacaccacaaabbaabccbabbabaccabbabbbbbabbcbbbabbabaabaccbbbcbcbbbcbaabcbabbbaaacacbbbbbcaccacacbacabbcabcbabcaacaabbbababbbcbbbbbacabbabccbbbcbbaabbacaaabbbbbbbaaabbbbbbcbbacabcbbbcbbacbaaacabaabaacbccaabbccbacbcbcbaacbabaccccaabbcacbbabccbacbbbcabbbccbbbcbbabcaacbbbbabcccbbbcbbabbbcabacbbbaabbbbbbaccaccbbcacccbbcabbabcbcbcbbaaabbbbbabcbbaabbccacbaacabbbbacabacacbbbbabacbabacabcccbaabbccabbababbcbbbacaabaabbcabbababbbcbbabbbbcbccacabacbaaacacacabbacbabcbaacbbaccacbaaaabbabbbabbaababbaabbabbbbbccccbababbbacaccbababacbbaabbbbccbcbcbbacccabbcbabbbbaabbabcacbbabbcaccbaabcbbcbbabbbcaaaabcaaacaabcabbbcccbbabbacbbacbbbbccabaaaabbabbbcbacabcbbacbabbbababbabacaccacbaabbbbbbbbbaabcbcbbbbabaabaaabcbcbaaccbaccbababbabbbcbabacbbbabcbabbbbcbaabccbbccbbcbabbaabcbbcbabbbbaabbbaabcbcbcacababbcaccaacbacbacabbcabcabccaabbbbabcaabaccccbbcabcbaacaabaacbacabababbcaabbbbaabcbbbbbbbbbcbaaaabccccaabbabacaabaaaacaaaaccaabbabababbcbacaaabaabbcbcaacbaabaabbbbaaaaabbabbbababbbccbbacaaacbbcabbcabacbbbacbbacbbabcbcbbbaccbbcacbabcbbaabbcaacccabbccbbbbabccbbabbbabccbbbbcbbcabbbbcacbacbcbaababcababcbbaabcbccbcbccbcacaabcbbcaaabbbbabacaaccaacabbbbaabbaaaccbbccababaabbabbabbbabbabbabaacaabbbaaccbabbbbbabbaabccbabcbcaccababcabcbcbbcbbbcbbabbbabbbbcabbabbbcccabaccabbcbcababcbaacabcbcbcbbbbbbbabababccccacabbaacabacccbabccbcaabccbcbacbbaaacabcbbabaccbbaaaaaabbbabacbacbcabababcbacbbcbbcbcabcbcacabbcaccaabaaabaaaaccbbbbbaaababbabbaabbbcabbcaabbcbcccccbbccaabbacaaababbabbcabbbcabccababababbbbaababcbbbbbabbccaabcaabcbbabbbbbabbacacbbbbcaacabaabbbccaabcbacbbcbbaaaabacbbaabaaaaabbabcabbaacbcacccbcbbbaababacbcabbbbabaabbcabbbaaabbbbabbbbbbaacbbbbbcbaabcabbcbbbbabaccccaccbbaccbbbcabbbacaacabcbacabaabbccaccccbabcababbbbcbcabbbccabaabbabccbacabcababcaacbbbbccbacbabbaababbabcbbcabbababbbacbbcabaabaabbbcbaaabcaacabbaacbbccbcbbcbcbacaccccaacccbabcbbcbacbacaaabaaabacaccbaccbcabbaabbbbaabbbbbbcbababcccabacaabbbaaaccaababcbbcbbccbbbccaaaaaacbcaabbabcbaabbbaccbbbcbcccbbcaabacaabacbacbacbbbabaccabcbcabbabcacccacaacbbbbbabbbbbcbbababbcbcbbabbbbbcbcbaaaccababaabcbcababbaaacbbcbbabbccabbaacccbbabbbcbbbbbbcabbababbbababcabbabbcbbbbcbcabbcabcacbcacacbccbacacbcbbbbbcbbbbbaaaabcabbbbbcbbcabbbbcbbccbabcbbbacbaababbcbbbbbcababbacabacabcabbabbbcabbaccbaaaabcabbcaacbcbccbacaccabbaabccaaaccbbcacbaabacbbabcaabaabbbbcbcbbbcbcaaaabbbbbbbbbbcbbabaaacbbbbacaacaabccccbabbabcaaabaaabbcccccababbbaacbbcbabbcbacacbbbbabbbacccacbacaaaaaabbccccbbaabbcbccabbacbbcbaccacaababcbccabbbabcabaccacbbcbbcbccabccaacbbbbbbbcbccbcccbabbbcbbcabcbbbbbaabababacbbbbabbabbbccabaabcccabbabcaaabbcaabaabbcaacbbbaababcbacabcaacaabcccbaaaccacbbbbbaccbbbababbabcbaaaabbabbaacccbcaacbbabaaaabbabaaaacaaabcbcababbbcbabcbbbbbababbbcbaaaaaababbcbbbcaacbbcccaababaacbcbcccccbaaccacbbabaabccbcacaacbababbababccbaaacccbbbbbbaabbacbbbabbbbaabbbaabbacbaaaabaabcabbbbabaccbcbcbaaabacbbabaccacacababbcbcbacbcaaabcbbaabbaacabaccaaababbabcbcbbcccbbbbaaacacbbaabbbcabbbaacbaabccabaacccbbaaccbbabbbbaabbbacabbcbbacabbbabbbcbbbbbaabaabcccbabbbccabacbcaacbbabbaabbbbbaabaacacacacccccbabbbcbbbbbabaaaccbcaaabbcaaabbaabcaabcbbbaaccabbacbacbcabbbaabccaacbbaabbcbaabbbaacbccbaaaabbbcabbbbbcccaaaacbbaaaaabbbcbccacbcabbaaaacbbacbccacccbbbcabacbbcabbcacbbbbcbaabcaababbbbcbcbbbaaaaabbaabcbbaabcccaaccacabccacbabbcbabaabbcaccbcbbbbaaccbbacacaacbcbbbcaabcababacbcccbbbbbbacbbbaacabaababcaaccbaabbbbbaaacababbcbbacaaabbbabbcbcacbcbbcaababccacbbbbcbcccbabaabacbbcbabbabcababccbccabbcbbbaabbbcbbbcabbbbbbccaaabcbbbabbbacccccbbbbbaababaaababbbbbcbbbbbccacbaacbababbcaaaccabbcabbabbabbacbaacbbbabbbacbcbbbbbbacacbbcccbacabaacbcbbbbbbbabcababccbcabbababbabbcaaabaaabbbbaabcaccbcccacbabcbbbcbbbbbaabcbbcbccbbababbcbcabbccacbaababbbabcaabbbbbcaabcccabcaaabbaaabbabbbcbcabbcbbccbcbabcbcbcbaabccbcbcbaaaacbabbabaabcacbabbbbbbbcaaabbcbbcbcabbbcbbaabaabbbaaacaaabcabbaabaaabbcaabcbcaacccbbacbbbcbababbbbababaaabcaccbacaacaccacbabcabbcbabcbbcacababaccbbabaabbbaacaababcacbbbacbaaabaacbccbbbbbacbcbabbbccabbababaaabcbbcaaabbabbacaacbccbacbbabcabbbacbcbbacbbcaccbccbccbccabbaabbbabbbaaabbaabaccbabcbbcbbbbaacbbbbbbbcabcbcabbcaacaabaaabbbbcaaabbbaccbaabacaaacbcbcbbaababacbaacbaaacbacbccbbcbbababcbabaaaababbcaacbbaccaacacccaacaabbacbaabbbbabccbbbaababcacabbbababbabbacbbbccaacacabbbabaabbbbaccbaabcbbacbcabbbbbabbaababbbbabbbcbababbccacaabacaabcbacabbbbbbaacbaccccbcbacabacabbbbabbabaaabbbabbaabcbaaccbacbcccbcbbacbababbabcbbaaabbbacccbbacbabaaabacbcbcaacbaccaacccbaacacccbaaccaacabbbaaabcabcbabbababcabcaaaabaabbbaabacacbacbcbbbcbbbbbbbccabaaaabcbccbbccacaabcaabbcaccabbabccbcccbaccbccbaabacacbbabbbcccbcbccbacbbcabbbbabaaacababaacabbccaabbacbcbacbaabbcbcbcaabbbbbccaacbaabccabcbaaabbbbabbcbababbabcbbacabaccbbcbcbcabcbbbacacbbbbbcccbbbbababbaaabbaaabacbacbbaaaccacbbbbabacbbbbbbcbacbccbbbbbaabbabcacbbababaccabababcbbabaaacaabcbbccaaaababbabbacaccbbababababbbabbbccbbbbacbbcabbabbcbaccababcccaacccabbbbcabcaaaacaaabbbaaaaacbcbacabbcbacbacbbaabaabababcccbacbabaccabaccbbaccbcaccbcbbabcbaaacbbcaaaccabacacbaaabaacaabababcaabacaaabbbbccbcabbcacbaccbbabaabbbbcaaabcbbbabbbcacaacabcaabbaaabcbbcaabacbabbabcbabaacbbcaccbacbbabaccbbbcccbaaabbabbccaabaccbabbaacccbcbcacaabacccbbbabbcabbaaacacbccbbacccbacbaacbcccabbabacababccbbbbaacccbcababababbbbcccbcccabbbabcabbabbcbbabbbbabacbabccabcbbabcbacbbcaabbaabbbaaababbabbccacbbcabbbacabbaaabbbcaaaaccbaacbababcbbcabbbbbbabbaabbcbbcbbbaacabacbccbbabbbbbbbbabbbcacacbabbaccabbbbcabacbbbaabcaabbccbbbcbababbbbccabbaabaabbacbcbcbabbbbabbbbbacccbaacbcbacaaccaababacbababbbbbbaabcaababaaaccbcaabbaccbbbcbbbbbbacbacbaaaaabaabacaabbcbbbcbbcababbabacbababbbbcbabcbbbbbbbcbbcababbcbaaacaaacbbabbbbbcbcbaabbaabbabbcbacbaabcbbacaacbcbcbccbacbcbbaccbbbbabaabaacabbacbbccbcbbbaaababbcbabbbbcacbcbbcabbbbabbcaacbabcabcbaacbaababbbacacbcbaabbbaccaaaacbacbbaabccaccbcbbbababcccccbaaacbabbbaaccccccababccbbccacbbaaccabcabbbccaabaabccaababcaccccacabbbbcacbcbcabbbcbbbcccaacabbbbbbbbcbaaabbacbabbacabaaabbaacabbcbacbcabbbcaababcaacbbbccbbccbaacbaabbaabbababaaacbcbcbabbcbbbaaacbbbbabcaabacbabbabbaaabbababbaabcabbbcaaabcabacaaabaccabcbaccbbaaaaaababaccabbbbbbaabbcacabbbbbabaaaacabbaabbabbbabccccbcbcbbcaabccbbaaaaaacbbbccbbbabbaabaaabbcbccacacabccabbbbabbabbcbbcbababaaabbbbcbcbcabbbbbbaabbabbccacbbbcabaaabcbcbcabcbbbbbcbbcbcbbcbbbbbbcbccaabbaabacababbbbbcaacbbabccbabaabbbbacbcbaabbccbbbcbccababbbcbbacabacaabbabbacabcbccaabbcccacbbbbaacbbbaacaaacaabbccbaaaacaabbbbabcabaabccbbaabcbacaccbacbabacbcbcbbacbbabbaccbaaabbcbcaacaccbccbbbbcbbbaccbbcaabbbaaacacbcbcbcbbabbbabcbbaccbbbcabacbabbbbaaaaaababbbcccaababbccbaabcabccbbccacbabcbabaabaabcbbabaccaabbaaaaacacabacaacbccbacabbaaabbabcbbbcabcabbabbbacbbbacbbcbcabaababaaabcccbcbaaaaabbbabababbbbaabccababbbbababbabbbbbcabcbcabbcbaccaabaabcbbaabaacabbcaabbccbbaaabcbbccbbbaabbabbabbaaabbaabaccbbbbbaabbcbacbbcababccacbcbcbcabcbacaabbbabaccabcbcabbaaabacacbcccbabcabaabbcbbcababccccbbcabcbbbbacbacbcabbbcbbbababacbabccbbbbacbababacaababcacbbbbaccbaabbaabacbcbaabaacbbccacabbbcbbbbbcabcaabcbbbbaaccbaacbbccbbcbabaacbbbbabccaababbcabbbbabbbbbabbacabbaccbacabcbbbbccacbbcacbabcbaabcbbbabaababbacaabbcbbbabcabbcaaabbcbaacbbbbbcbacbbabbcacbbbbcaaaaacacbccbbabcbbbacacacaabbbccbabcbaabcbaababababbbcbaacbabcabacacccbbbcbbcbbbccbbaacbbbbcbacaacbabbcbaabaaabbbbccccbabaabbcbbabbbbbacbbcbcabbbbbbabbaacacccbbbbbaabbacabcabbcababccbaabbaaaababbbcaabababbcbaabbbbbbaacccabbabbbbabbccacbbaacbbbbbbbaaccbcacabcbbbbbababcacbacaccabababaaababbbbacbbcbcbcacbabbbcabcacbbcabbbbbcbbcabcaabbcbbbabbbbaacbacaababccbbbcbbacabbacbcbbbbcaababbcbcbbaaabbccbccaabaccbacbcbcabaabcbcbbcbaaaacbccbcbccbbabaacbaababaaaacbbcabaccabbabbbabbbabcacbbbbcbccbbccbbcbbbabbbcccbaacbbabbabcaabbbcbbbcbabaacbbabbcbcabbbacbababbacbbbcccbbbcaacbacaacacbbcabbbabaccabbaaacbbcabababaabaabcabcbaacbbacbacbccbbbcacccbcbbbabbcabcbcbabbabcabbbabaccbabccbabbbcbcbacacbaabbccaccbcaabaaababcaacabaabbbabbabaaabbcacaaacbbaaabbbcbabbcbbbbccbbcbcbcbbbcbbcabbcbbbacacbaaacacbbcaacacacabaaaaaabbcbbcaabbbabbaccabcbaaccacbacbabbcabacbbbbabaabbbabbaabcbbbaabcbabbcababaacabbcaabcaccbacaccabccbbbbabababbbcbcaacbabbbaabbacacbabbccbbbbccbbccbabcaaaccbaaccabbbbcabcabcacabbcbbbbcbabcabbbccacbacbcaabcabbcbccababbaaccacbcabcbbcbcaabbbbabacaaabacaccbcabacaaabacbccbacbaaabcbaabbbbbbaccaababbabbbbaaaaabbbbabcababcabbbcbaccbaccbbcbbabbbaacbabaababbcaccabbbaaacbcabacbbabcbbccbaccbacabcbcbcbccacabcbabbccabccbabbaabccabcbbbccbabaacaabccbcaabbcacaacabbabaaaaabbbbbbbbbbbbbcaabcbcaacaacbbabbbaababbbbaabbcbbaabbacbaacbabbaabbbabbcbbbbaacbacaacabbbbbcbbbabbacbbaabcbaccbbabaabbbaaacbbacbbbcbbbbabcabbbaabaabbabcbabbbcabcabbbcbaaaabcaacbaabcbcbcbaaabacbccbcbbbabacbcbbabababaacbcbcbabcbbbbbccccabbbbbbcabbcaacbcabbcacabccbaabaabaccabbacaabaccbabbbccabbcabccacbbcaabbaacbcbaccbccbcabbbbbccccaabbccbbbacacabbabcbbaacbacbcbcbbcabaaabbabbbbbaaaabaabccbbcbbaccaacbbbbcbbbbbcbbbcbbbabbbbbabbcbaacaaaabbcbbbcabbacaabcbbacabbcccbcabacabbbbbbbccabcbcccbacbcabaabbcbbacbbbcbacbabbbccbaabbbabcaababbabbbbbacccbcbabcbcbabbcacabcbcccbcaabcbbccbcbabbbcbabcaabbbbaabbabbcaccacbbbabcccaaaacaacbbaacaabcabbabcaaabbaaaacbbbbaababbbaabbccaaccccacccbbacccbbaaaababaacabbbbcbbaaaababbabbacbbabbabacbcbcaabcbaaabbaabbacbccbbabbcbabbbbbbaacaabaababbcabcabbacbacaaaccbbacbcbbbbcbbbcbcbbacaacbcbabaacabcccbabacaabbccbabcbbaabcbabbbcaabcbabaabaaacabbbcbcabbaaacbbaccbbbabaaaaaacabbbbbcbabbbaabcbabaaaabbccacbbabbbccbacabbccbacbcbbcbbabccaaacbbcababbabbcbbbbbbbcaaacccabbcaabccbbbbcbcabcbacacacabcbabababbabbcbbbccbcabcbacaabbbbbcbbcbccaabbbbbcababbbbbcbcabaacacccbcbbbaaacacaacbccaabababbababbccaccbbcbbbbabbbbbbabcaaaabacaababbaacbccbaabaabcbbbcbbcbbbabbabacccbababbbbcbabbabbbbabccccbaabbcbacccabaacbbcabbccbaaaacbaabbbcbabcaaaabbabbcbcaacaacbbbcabbcbabbbcccbaaaacbcbaacacbcbcabcbacbaacbabcbcbbabbabbababbaabbaabaababaabcabaaccbbaaabbcaabcbbccabacbcbbabaabcabbabbbbbbcabbbbbcbaabcbbacaaabccacbcabaabbabababbbccbacbaaabcacabbbbbbbaabacaaabbcbabbbbabbaccbbbcaabcaabcabaaaaabccbccbaabbbabbcaacbbbccaacabbbbbccbaabaabbcccbbcbbbbbbcbcbcccbabaabbabcabccbcbcbacaababaaccbbabbbcbbbbabcaccbbbcbbaccbabbbabbabbcabbbacabacbaacbabbcbbbbcaabbbcccabbabbcbbacbaabbbccaabaaaabbcbcaabcbbcbabbabbaabaababcaacbbacabbbbcabbbbccbbbccabaabcbcbbbacbcbcacabbcbbacbcbcbbbcbabccabbbcaaacbabbcbcbbaacbbbabcbacacabcbbaacabbbabcbccbbbbbbacbcbcbbbbcaacbcbbbbcbcaaccbcaaccbaabbabbbbbcabbccbcabbababaaaabbaaababbacabaacbbbbbababbbbbcbbabbbccabaabbcbbbcbccabbcbaababcbbbbbbbbaabaaacaabcbabcccacbaaaabcccaaabbbbabbcbcccbbbbbabbacbaacbbbbbbbacaacbcaabacbaacbaaacbbbbabcbbabbabbccaaabccacbbcbbcbbcabbcaabbbacbabbbbbcabcbbabacaacbaccabcbbabbcbabcbbaaacabbbbbbcbcbbccbcbbbcbbacacbabbbccacccbccbacaabcbabbbccabbaabcacacbabcabcbaabccabbabcbcbabcbbbbbacbaabcabacbbccbccacacaaccbbabcbbbbaacabbbabcaabbcaaabcbbcacbbbbbaabccbbbaaacacbaccbbbbbbbaabbbabccbbbaabbacbbbcbcbabcacaaccbacaabbaacbcbbbcbccabcbacbcccababbbbabbbababaabbabcbbaaccbaabaccbbbbbbcbbccabbbacbcbcaabbbccbbbbaacacbabbbbbcccbbcbbccbbabbcbaabbbbcbbbbbbabbbbbbbbbcbcababacbcababbacbcccabbcaaaabbaacaacabbbcbbbbabaabbbabcbbabaacabccccabbbbbbabacbbabccaaacbacbcabbccacbbbbcacababaacbbabaababbababbacabccaabaaccaaccaaccbcbbcbccacbcbbaacaaaaababbbbccbbbcbabbbbcbaabbbbcbbbbbbbbbabbbbbabcabbcaaabcacaaccaacbbcbcaaabbbacacbacbacbbbbbcbcbacacbbbabbbacbaaccaabcbbbbcbabbccbbabbbbbabaabbbacbabbbccbccacbabbccbcbcbbcacbbbbaabcaacbbbcbbbbcbbcaccabbbabbbaccbbbcbbabcabbabbabbbbbacccccbccbbbaabbbaaabcbbccaaabcccaaccbacaaabbabaabcbabbabbbababcbabccaaaaabcbcbaabbaccbbcabbbcacbbcbacabbbbbbabccabcbabcbcbcbbbcbabbbbabbcbabbcabcaaaabbcbbbbcbbbcbbaaaabbbacbaaccabbbbabccbcabbcacbbaabcababcaabaabbbbcbcccaaabcbbbbbcbcccbabcabaaacbbaccbbabacabbbbbbbbaccbabcbabaaaabcbbacccccbcbcaccbaaccacababccccbcbcbcbbbbcccbabcbbcbcbcccaaaababcccacabcaabcbbbbbababccbbcababaacbbaabaaacbcbbcccbaccbbcccbbccccbccbbaabbbbabbaacbbcccbcbbcabcbbbbbbbbbcbbcbcccbbcbbaccbbbbcaaabababbbbbbcbcbbaaccbabbbcacacbbbcbcabbbcbcabbabbbbcbabbaababaabacacabbbcacbacacbbacbbaacbbbcbccbbcaacbcacacbbaabbbbbbaaccaabbbbbbbabbabbbbaacacbabbbbbabaaacbcbbabbaacabbbbcbbbcbbababccbcabacabbabbbabbabbcbbbbaccaaabaabaacabcacbbbbabbbccbacbcbcabcbaabbcaaababcbabbabbabbbbbaaabaaacbbbbccaabbbbaccbbbcbbabccbbbbbbabbbaaacbbbabbbaababcbaabcbbbbbccbcbbacacbbabbabbbaacbcabbabbbcabbacbaabcabbbacccbabaacbacabccabbabaaacaababbbbbbabaccaacabccbacbacbcacabbbcbcaabababaaaabbaacbbbcbbacabbcbaabacacbccccbaaaabababcbbaccbcbaaaccaacccbbbabbcbccaabbbabcabbbcbbabbbcabbaacaabaabbabcbbcababbacbbccabbbbbbbbbbbabccbbabbbcabcbbbcbababbabcbabbabcbbbabcacbccaacbaacccccbbcbcbbacccacabccacabababacbccbaabacaabbbbccacbaababaabbbabbbcbaaaacbaccaaacacbbacabbcbacaabbbaaabbcabbabbbacbbbcbabbabbcccbccbabbcbaacbcbbcbcaccacaccabbabbbbaccbcababbbcbbaababcbbcbbaccbccbbbababaabbaabbbccbacacbbcabacabaccacaabbacabbbbcaaaabacbccccbbbbcbaabcabaacccbbccaabcbbaaccbaaccccaaabaabcaababacbaccabbbccbacbcbaccbbbabbbbababcaaabcacbbacaabcababbccabbababababbbbacaaccbcbbababcabacccbbbcaabbcbaaaccacaccbcacbcbabbbbaabbbbbbcccabbabcbabbbbbbbacbbcaaccbaaabcbbbcbbbcbbbbabbcaaaacaabbbbbcabbbccbcabbacbcacbbabbbbacbcabbbaaabcbbcccccbbabaaabbaacbbabbcbcbcaacaabacacbacaccccbabbbaaccccababbccabbbabbbcbbbbccbbbcaaaaacbbcbcbabcccacbaabbbabccbcaaababbacaabcbaaabbbbbcbbbbacbccbcaaacbabbbaacaacaabacbabbacabacbbabbbcbcbcaabbaabcbbbacbaacbaaabaaaaababbbbcbbabbbaabbbcacabababcbbacabcbacaaabcaaababcaaacbbbbaabbaabbabbccbbbabbcbacbbabacbcbbabaacccbbcbbbabcccbabacabbaabbbbaaabacbcacaabbbbcbcbbcababcacbabbabaaaabbbaccbabaaacbcbbbbababbbcbcaabcbaaabcbcaaabbaabcaaaabcaaababbbcbacacccacbbcbbbbbbbbacbbbaccbabbabacacabccabcaccacbbbcaaaacabbaaabcbabccbcbcbcbbbbbbcbaccacbacababbbaacacbbcccabbcbbbbaabbaaaccacbbbcbcbbbbbaaaabbabababbbcababbaaaccaccbbbbcbcccbbbcbbcabbabbababcccccbbabcaabbaccacbabbbbcabcbbacccabacccbbcaacbacaacabcbabcbacbacbbcccccbcabacbbbacbccbbcbbcbbbbababbacbbbbbacabcbbaccbbbaaabbbabaabbcaacaacbaaabbbbbbbbbbcbaacbcabbaabbababcacabbbbacbaacbaacbbbbbaabbacababcaccacbacaaababbbbccccbcbcbaccccbabaacaaaaababbbbbbbbbbcbbcaabbbabaaabbaacccccacbbbbabbbabbabaaaaccbcababcabcabbcbbcbacbbbbabccbaaaaacbbcabaabaaababcabcbaabcccbbabcaaaabbbbbbbbabacaabbbabbabaacabbbbaababcabababbbaaabbacabbbcbbbcaaabbcbbacbababbbcbccbacbbbbabcabbbbbbbbcbabacccbaaabbbabbbcbbcaccaaaabbbcaabcbaaabbbaabbbacaabcbbabbabbabbbabbaaaabcbbaabacacaabbbabbabbbaaaacccaccabaabcaababaabaaaabcabcbbcabababbbbbababbaaabcbbcbcbcaccbaaaacbbccabccaabaaabccabbabacbabbabbabbbbaabbaaacbabcbaaccbbbcbabababbbbbbbaacacaacababbabaaaaacbcbabbaababcacbcbbbababbacbabbaaabaabbcbabacbcababcbacbacbcbaabbacccacbbbcbcbbbabaababbabbabacbaabaaabbcabbbccaacacbbcbaabcbbbbaabbbbbccbbacaabbcaccbcacaababbbacbcbabbcccaaababaaacaccabbbabbaacbbbbbbabbaccaabaabbbcbbbbbcbbacbbbabcbaabbbcbbbcaaacbcbbbbbcbbbababbcbbbbccabbaabcacaabbbaabbabbaaaaaabcabccaabaabbcaaabbcbccbbcabababbcbbaaabacbbbcbbcbcbbccccbbcbbbcabbcaaabbbcaabbaccabbcbbabaacbaacababcbccbaabacbbbaaaabcacbaabbcbaabbcccacbaacaabbbabaaacaaabbaabbababbacbbcaabaabbcabbcbbacabaaabacabcaaacabccacbaacabcacacbaaabbcaccbbabbabbbaabababccbcbbaabbaacaccabaaacbcbabbbbbacbaabbbbaabbcccaaabbbcbbabaaabaccacbbcbbabbaacbbcabcccbbcaaaabbbcbaacababccbbbcbcabcbbaabbcbbaccbbaabbbbbbbababcbaaabbaabbcbbaababcaabcbbbcbbbabbbbacbaacaacaabbccbbcbaacbbaaaccabbaaaaacbabbcacabcbbbbcbbbabbababbababccabbcbcbbcbcbbcaacaaaaabbcbbababaabbbcaaaabcbaaaabaacbbcbacbbbcbbbccbbabcbbbccbccbcacbcacccaabaabaccaaabbabbbbbbbcbaccacacbacbbbbabacbbbacbaacabaaacacacbbbcbabcccbbbabacabbabbbacbbbbabacaaacbaabcacbbcaabbabbcabbbabcbbabcbaacabcbcbbcbbbbbbbccaaabbcbbacccaccbabcbcbabcbbaaabbccabababbcbbbbaccabbccbaacccbbbccababbcbbabaabbcbbbbbbbaabacaccabcbbabbbbbcbbbcbccbbbbbbabaabccbacacbabbcbcbbcbbbacbacbabbcabbbbcababbbaabcabbbacbbcbcbaccbaabacabbcbbacaabbcaaccbcabbabbccbbbacbaaabbbbaacbaaccbaabbabacbaccaaabcccbcbbcbcbacaabcabaccaaaaabbabacbcbcaacbbabbcccbccacbbcbbabbbcccbcaabbababcbabbbbcbcabcbbbbabcaacbbabbcbbaababbabbaabbbabaababacccbbcbccbabbbaaacbbbbbabbbbcbabbababbacbbcacaacaababccbabbbcabbcabaababcacbbacacbababcbbbabcbccbabaacbaaababcbabaababccbbaabbbcbaaaccccbacacbbbbcaacbbcabcbbcbcabbbbcbbbaabbaaaabbbbcbaaccccccacbabaacaaabbbbaacccbbabbbcbcaaabbabbbcaabbbaaaabbaccaaabbcccaccbbcaccbbbaabbcbaaabbacbcabbbccbbaabbbcaabbabaababcabcaabccaacaccbbbbbbaacabacbacbaabcabaaaccbbbbbaabbacbabccabbcacbaccbccbacccbabbabbbbcccabbccabbaaaabcabaacabbcbcccaacbbacbababcabccbabbcbbccbabccbbbaaabcbbbbcbacbbbabaababbaccbcacbacbabacaaabaabbbbaccbaabcabcbccbbababbababcabcbabbabbaccaabbcbbbabccaacabbabaaababcbccbbabaaabcbbaaabbbbbcbcacaaacaacbbaaaaabbbacaaabbbbccbaacacbaaacabbaabbacccbcabbbcbcbbaacbbabbbbcccababcabbccaaabcababbbabbcaabcbbbbaaabcabcbcabaababbaacbbbbbbbaabcbbbabbbbcbbccacbbbbcacbcbcbbaacbcbacccabaaacbbbbbbbccbabacbbabaccbcaccabbbbbaabbaabbbbbccbccbbbbcbbacaaacbcbbcbcaabbbbbbccccbcbbbbabacabbaacbbcbbbbababbcaabbccaccbcbbcbcbcbbabcbbaccabcabcaaabbbabcacbbbaacabbbbbbbaccbcabbccbcabcababbbabcaaccbaaccbbabbbbbabbabacacababcacccbacbabcbaccaaaabcbabcbacbcacabaaaabcbbaabcabcacbbabacaaabbabcbbcbbcacbabbcabcacaccbbbaababababaacbacbcbbabaaccbabbbbcbaaabbabcccbbabbabcbaccbabcacbbbbbbbababbababcaaabacbababccaaccacaacaababbabacbbbaaabcabababbbbbcabacbabbcabcacacbcbcaccacbcbcbbbaccabbbbcaaabbaccabcaaabbcbbbbbaaacbcbccbaaccccaabaabbcbbbcabcbaacbcbabacbbcbbbbaabaacbbbbbbbcbbaababcbcabcbcbbaababcccbbcbacbaaabaabaccbabcacabccacaaabbbbaabacbabcbabcccbbbaabccbbabababbbbbacbbbcacbbbaabbacbbbabccccabbaabbabbbccbacabbcbcabacbbccbaaacccacbbaabbabbbbbbbcbbccbcbcaccaabababbbbabaccababacbabbbbbbacaccabbbbaaccbbabbbabbbababaacbcccaacacbbcacbcbaaacaabbababacbaaaabaaabaacbccbcbbcbacbababbbabbaabbbcbbbbabacbbbcbabcababaaccaccaacbacababaaaabbbcccbcbbcbabcbbbababbbcabbbccccbbacabbacbbbbcabbbcaaaacaabaabaaabbacbbabcabbbbabcbabaacaaaabbaaaccabbcabaabbacacccabaabaacbbcaaacbbbaacbbbbbbcbbbcbbabbaabcbcbaccabbbcabbcbbcccabbcbabbbacbbabcabbababacbbcbccbbaaccaccbbaaaabcbabbbaaabccbcbcbccaabccccacacabbaaacaccaaabbcbbabcabbabcabacacaaabababbaabacacbbbcabbbbaacaaabbacacabaaaababbbbbaaccaaacacbbbccbaabcbbbbaabababaababbcbbabbbaccbabcacacabbbaaaaababcbcccacabcacccacabbacaaccccbbaabcbcccbbaaabcbacbbbcbacccacbbbbaccbbbaaaabbbbbabbabbbabbabaccabacbcccaacabcaaabbaabcaaabbabaabccaabbbbbccabaabbccbcabbabcbbaaacbaccbccabcbbcbbcbcccbabbcbbbabbaacbabbbcbabaaabbcbbbcbbacaabcbbbbabbabbbabbbcbcaaabacccbacbabbbbbbbbbbbbacbccbaacbbcbaabacacbcbacababbbbcccbcbbaaaacaccbabbabbcccbccaacbaaaabaccbaaaccacabbabacbaaccbcababaacabacbbbbbcaabaacbaccbcbbabaacbbcbcbacbbcbbaabaabbacccbcaaccbcccabbcbbabbbcccaaabbbcbcbbacaaaababcbccbbbbcbcbaaabbbaaabbbbabbbbbcbabaccacabcacbaabaacbabacbbabaccbaccbabcbccaaabbbbbcbbbbcabcccbbbabaabbbcbbaacbbbccababbcaabbcbbccbbbbcaacbbabbbaaabcccbcbbbbacbbbccacbbbbacaabccaccbcbaaaabccbcabbbabaabaabbbbcabaaacbbccabbaccbacbcababbbcaacbbbccaabbabbcbcacabbabcbcbcacacbcbbbcbabcababbbcbbccaababacbbaaccbcaabacbbbbbcaaabbbbaacabbbabbcaabbabcacacacaaaabcbaacaaacbbbaaccabbcbccbaaaabaaccbaabbabbccbbbacbbaabaabababbbbabbabbabcbabaaaaabccacbcaacabcbcccbbbbcababbabbaaaccabaabaccacccbbbccababbaaaccacacbacbbcbcabcbbaccabaacbcacbaabcbbbbacbbbcbccbaabbbbabbbccaaabaababacbccbbcbacacbbaaabaaacabcbbaabcabcaaabcabcaaacbbcbccbbcaabbbbbabaabcbbaaacccbaaccaccbbbaabbcbaaaccacbabbcaaaccbcacacbbbbabcbccaccbabbbabbcbabbcbbacbbbbcaaaccababbcbbacaabbabbcbaaacbacbbbaabaabbaccbcbbbcbabbbaaccabaababaabaccaabbbbbbcbabccacaacaabbaccbcbbcbbacbaabbbbacccbbbcaacbabbbbcababbbcaaacccacbbbbaaabcbbcaccbccbabcbbbcabbcabbcbabbbcbbabaabbcbabccbbbbcaabbbabcccabbccabaacbcbcccabcaaababbbcbabbaccaaaccabacbaacbbbbbcaabbbaabaacbcbbaaaaacccbccbcababbbbbcbabbbacabcacbabcbabaaaaabacacbbbcbcbbcaccaabbbcacabbcbbbbcacacababaabcbbbbcacbbbccbcbcbbabababaabcbbcbcbaacbbcbcbbacbcbacbcaaabbbababbbcbaabcbbcaabbcbbababaacacbcaabcccacbbbcccbbcbbbbbbaaaaaacaaabacbbccbbbccbbbcbbbbaaaabcbaababccccbbbccabacbacbbcbaaacccabbacbbbbabaaabacabbacacbbabbabcbaabbabbcbcacbcaabaacbcbbcabbacaaccbbbbbcccaacbacbabaaaccabbabaacabbccaaabbbacacbbccbbcbbbacbbbacabacbaacabbaacaaabbcabcbcaaabaabaabaababababbcacbbbccacacababbcaabccbcacabccbacccbbbbaccbbbccbaababbabbcbcbbabbcbbbaacbcccbbbbccacbcbbccababacacbbbbbaababaabbabbcbabcbaaaccacbbbbabbbbbcbbababababbbccbccbbababbbacbaaaabababbbabbcabbbbaababaabbbbbbcbcbbccabcabbabbbababbababcacbabbbcabbbbbacabcaabcaaabccbbcbbacbcbbbabacccbbabbaccbbacbbbbaababccbbababbcaccabcababbcabbbcabbcabbcbcbcacbcbacaabbccbaacacbbcbaaabbaabccbbabbacbcbaccbbabccbabbcaababbcbcbcbaabbbcbabbabababcabacabbcbbbcbabbcabbbabcbbaaacbccaababcbcccbaccbbccbaabbbbaabcaaaabbabbbcaaaabbacaabaabacaaaaabaabacbababcabbacaacbabaabacbbcccbccaacabbbabcaabacaacabaabbacbaaccbcbbbacbabcbbbcccabcccccbbabacbaacbbbccaaccbbbbbababbabcabbabaccbacabaaacaccbbabbbcccbcabcacacbbaabbcbbcbbabcacccbcacbbabaabbabbbbcbbcbbbcbababbaabaaababbbbbabbcabcababcaaaacababbacbbcaccbbabbabbbbcbabbbbccbbcacccccaabcabbbbbcbbcbaacbbbbccabaabacbbbacabababcababbbaaacbacabaabbaaaaabbccabcbbbbcbbacacbbbccaaaacbbababbbaaaabbccbabccacbbacbbacbaababaaabacacbccbbcbacaaabbababcbabbaaacbacbcabbabbbbacbacacccbacabaabcacbaabcbbbaaacbacabacbcabbcabacacabcbcabbbaabcbbccabbaaabcacbcbcbabcbacacbbbbcaacacccaabbbbcbcabcaabcabbbbabcaabcccacabbbbccbbbaacacabbbaacbacacbcbbbacabcbcabbcbbaabbacbbbcbacbbaaaacaacacaccbaabcbbcacacbbcacaaaaababacbbcbcaabacbbaaccaabbbbbccaaaabcbabcbbabbbabcbabcabbbabcbbaacabbcbaabccbbcaaaaaabccacbbbcbbbccbcaacbbabbbcacbbcacaccbcbabbabcabcacabaaabbbcaaabaaabaabbcbaaabbabaabbabbaabacbaabcaababcbcccccbbacbbbabbbbbacbaaaabbccbcabbbbabaaabccabacaabaaaaccabbbcaacabbaaacbabcbcbbbcabacccccbbbabacabaabbcbabacbbabacabacaacbacbbccbcacabcbabbbbabbbbbabbbabcbaccabcaababcccabaacaabbabaacbababbccbccacccbcbbabbbbaacacacaabacabccbbabaccbbcaacabaabbabbbbababbbabbbabacaabcbbaaaabaccbcacbbccacbabacbcabcccbaacccbbcabaaababbcaccabcbbaacbbccaccabababcbcabaccabacababcbabcbbbaacaaaacbacbaccbbabaacccabbbbabbbaabbcbbabbbbacbbccbbcbbbaabaabaabbcbbbccbcbbcabaabcbcbabbbabbabacbcbaacbccccbbcaacbbabbbcbcccaccbcaabcbccbabcabbababbbcbcacbbbcacbcababcaccbbbbacbbbbaacacaaabababaacbbbbbabbabbccbabbbcbcbacabcabcbccbcababbbababbbcbcbabbbaabbbcbbbccbacbcaabbabbaacbaaabcaaabbacbbbbbaaabccbacbbbaabbacbabbabaababbacbbaacbccbbbcbbbabcbababbbcabcccbcbcbbccacaabcabcbcabbbbabbccacbabbbaacbacabbabaabcbacbbbcbcbcbcbbabaabbccabcaaaccbbbbcaaaccabbabbaabcacacababbaabbbabbcbbbabbcbacbcabaaabbbaaccacbccbcbccabbababbccbacbabaabbbbcbcbaaccaaababbbaccaaccbaabccabbbaaccabcbcabcbabacbbcabbcbbbabbbbbabacccbacbbccccbbaccaccacabbbcacabcbbccbaaabbbbabaaabbbaababcababcabbbbbbcbcbcababcaaaacccbbabbaccacbabaccbbabbbabccacabaaacabcbbcaacbbaacbcbbbabaaccbbbabbbaacbbacccbabbbcccabaccbccabcbbabccabacbaacabacacabbcbabcbabaccbbcbaccbbcabbaabbbaabcbbbbabcabbbaabcbabbbcaababbccbbaabbbaabacbcbaabbaabcbcbbbbabbbbccbcbbaaaccaaabbaccbcacbabacbabacbacbbabcbccbcbabcaabaaacbabbacbacbcbccabaaaaabacabcacbbacbbcbacabccabbbbabcacabbacbaaabbbcbcbbcbcabaabcbcbcbcbccacbbbaaaaccbababbccccabbbccabcabbabccbbbbccbbbcbabcaababbabacbbaaaaabbbbabcabcccbccabacaccbaabcaabcccacbbccaabbbbbbabbbbabaccbbcbaacbaabbbbbaaccbbcbabaabcbbbaabbabaabcbbbabbaacabbbbbbcbbbcacbbacbcaaabbbabcabbbcccbbbaaacabababacbababcabaabbcbcababbcabcbaacbbbbbabccbabaabbbbabcababbbbbbacacbbcbbacaababcbacbaacabbbcabaabacaabababaabaacbbbabbaabbbbcbaccbccbbcacabbccacabccbcbabacbbbacbbbcbcaaaabbacbaabbbacbbbabababbbbcccccbbaacbbcabbbbbaacaccaaabcbabcbaacabbabbbbbbbaaaababbaabbbbacbccababacbbcbaaabccbbcbcbbbaabcbbbabbcbabbbabbbbbcbabaacbaaabcabababbabacaacbbcaccbabbbbbbbccaacabbabcaccabbbbcabbbccbabbbaccababbbbbbbbbacacbbbacaabcbabaabcaaabaacbaaabbacaccbbbcabacbcaaabaccbbabbaabbacabbabaacbcbccbababcbbaaababbabcbacbaccbbbcbababacabcbcccbbcbbabaabbaaacbcaabcbcaaabcacbcaabbabcbaaabbccbbbbcabcababbcccbacbaccbbabbcbbbbbbaacaaabbbbaaacccbcaabbbbbbacbcabcbcabbbbbbababbacbaccaccaccbbacbccabbacababababcabaabbbaabaccccbabbbbbaabcababcacbbaaaacccbcacbccbcbaabaabbcbcaccacbabcacccbbbcaacacccaabcbacbbababaabcacaaccaccabcaccabcbbacabbbacbbcabbbbbacbcabbabcabcaabcaccbbcbbaacbbbaccbabbbbcbbabbacabaacbacbbbbbbbaababbcbbabaaababcbabbbaaaabcabbbabbcbabbbabbaccbcbaabacccaabccbbbcacbaabbbaaabcbabaaabcaacccaacaabcbaacbbabbaabaaacabbbbccccbbbabbbbcacbbcacacaabbbbbaaabaacabbbbabcbabbababbaaacbbcacbccbcabaababbbabacbbbcaabbccaabcaabbbbabacbbaabacbaccbbabcacbbcababaccbbccabababcaabccabccaaccbcbabbcabbabbaabaaabbbbcbabbbbcbbbcccacaccbcbbababbaabbbcbabccaabbbbcbbcbbcbbbbbbcbaaccbaabcacbbbbacbbbbbbaabbbbbbaacbbababbcbbcaacbbbccabacabbbcbabbbaaabaacbbbbbbaacbcccbbbbbbcaabacccbcbbbbbbcccbcbcbbbaabcbbbbbbbcbccccbabbbacaaabbabbcbbabbbbbbbbcbbacbacccbabbbbcbaaaacbcbcccbacacbabbbabbbbbcbbcbcccabbcabcabcbaaaaaabcabbcbccaacbbcacacbaacabbabaabbcbbacbbabbbbacaaacabbaaccaaabbbccabababaabacabcbaaabcaabaccbbbaaabacaabbbcbbbbbcaababcbcbbccbabaccbbbababcbcbcbccbbbccbaababbcbbbabbbacbabaccaccabcabcaabbbaacbbaccbbbaacaacaabaabaaacabaaaaabcbaababbabbcbcbbbbaaababbababccbcabbccabacbbcbcaaacbcaabbabbbbaaababbcaccabcbcaabbababacababacabacbbbacbbabcacbbbbbbbbbbcbacbcacbbbcaccababbaababaabcacbbbaccbcaabbbbcbabbbabcabcbaabaabcbbcababbabbcccabacbbacccbcabbcbcbababacaaacbbbaabaabcabbbacccbababcbcccccccbbcaaacbcbcbbbcbabcaabcbcbcbacabcbcbabaaacbbaacbabbbacbabcaabbaaacababcbabcbbabcccccabbacabacbcabbbbacbaabcabbbaaabababbabaaaacaaaaaaaccbabaccabcaaacbaabcbcbbcbbcbbbcccbcbbabbaccbbbbcabacbaabccabbbbbcbabbcbbacbaabbbbbcaccabbaabbabbaababaabcabbabcbbacbaabbbbbbbbbaabbbbbbabbcacbbbbbbbaccacabbccaacbbbcbababbbabcbccaaacaababbacccbbaccbbabbaaabbbabcabcbbbcaacacaccbbbbcccbbabbbabbbbbcbcbabbcabbbbcabbbbbaaababbaabcaababbaaabaaaaacbbcabbcbbcbabaabbacababcbcbbcbababaccbbabaabcacccbbcbcbcacccbcbcababcccbbbbccabbaacabcaabaccabcabcbcaaaabaacaabacabbbbcccababaaababbcabbcbbbacacaabbaabbababaabbbbbcabcaacacabcbaaaabaababcaababbabccbacbbbaabbcbbbacbcccbabbccaabacbabcbccbbbcbaacbaabcbcacbabbbbcbbacabbcaaaabaabccabbaabbcbcaaabbbbaabbabcaaaabcbbbbcbabcabbabccbbcaaccacabccabbacbabcbcabbbcbaaaccbcbbcaaccabccbcbabbcacbcbaccaabbbccaacbbaacbbbaabacbcabbccbcbaaabbcbbabbcaabbbabbbcaccbbaabbcaabacbbccbaabaccaaaacacacbbbbacccacabcabcbcbccbaccbbbabaabacccacbabcaccaaabcbcbbababbabbacabbabcccaabbaacbbbbabbbcbbbbbbaaabbbbbccacbaccbccbbbbaaacbcaabbacbbaabcbabcbaabacaabbacabbabbbcbbabaabbaccabbbcabbbabbbbcbbbbbbabbabacbabbaacbbacabbbcaabcbbabcbcbbcbaaaaaaccccccaabbabbcabaabcbabccbbbbbcbbbbbaabbaabcbbcbcababcaacacbbbcbcacccaabaacbbbbbbbccbaabccabbabaccabbababaacbcbbbacabbbabacacbccacbabacbcbbbacccabbbcccbccabbcacbccaaaccbbbabcbbbbbbbbcbbbbbbbcbaabbabccbcbcabbabbbcbcccbbcbaacaccabacabcaabbcaaaaacbabbabbcbbbbbbbbaababaaabbacaccbaabcbbccbcbbaccacacbbbaababbcbcabbcccbbbcbabcbbcbbabaccbbabcabbbacbbabbcabababbcbacbbababcbccbaccabaababbcbabbbcaccacbbbbabbcccabbbaabbaaccaabbcbcbbbbbbcbbccabaacaabcabbaaaacbabbbbaabcaaabaacbbaacaacbaabbbaabcabbbabbbaaabaacbbbcababbccbbbcbcacbbcbcbacabcbcbcabccbabbbccbccccababaacbaabababaaccbcbaaccbbbabbccaaacaabcbbcaaabbbcacbbabaacccacabbabbaabcbbcabbacbaabbbcacbbabcbccbcbccbabaccababbbbcbacacababaaccbbabcbacbccbcbcaabcabbbaacbbcbbcbabbcbaabcbaaaabbbababccbbbaacbbacaaababbbcbbbbcbcacbacbbabacaabbbbcabcbcabcbbabcabacbbbcacbccbbacaaabbcaabcbbbcbbcbbabbbacacbccccabbbcbcbbbacbbbcbccbbcbaacbabbcacbbcbabaaaabccbcbabbbbbaabbccbaabbabacbccabcaaacbaaacbabbbacaccbbbabbcacbaacbbbbbabbcabbbacbabababbabbcbaaacacbcbabaabcabaaabaccbcbbacbcabbacbaccababcacbbcabbacbcacaaabbbababcccababcabbbacbcbcacbccbcbbcbbcabaabbccbcabbbbbbcababaabcacbaacbabbabcbbbbbbbcbbbbccbcbbabbabbabaaaacbbbbbbcaccababbaacacbbbbbbcbbaaaccccbcbabacbcbaaacbbabbbccaaaacbbbbbcacbbabcbaaacbaaaaccbcaaaabbbbcabaccaaacabbcbcabaaaabccabcccccacabccbbbbccabcaaababcbbbaaaacbacaababccaccbbcbbaabbcbabacabaacbabbbbbbbcccbcbaababcbaacabcacbbacbbbabcbabbbbbbbababbabacabcaaaaabaababccbbbbaacaccacbbbabbbabbbbbccbaabbbbaacabccbcbababbbbbabcbabcabacbbcbcbbabcbbbbabbbbabbbcbaaabccbbbcaabaaaabbbcaaaaaabcbabbbbbacbbabbabbaacbbcbcbbacbbabbbacbcabbcaacbbbbabbbaacaacbaacaaaabbbabcabaabababacbcacbcbbaccbbaabbcabababbcbbbbbbbbaacababcbbbcbabcaccbbbababaabcaaaaabaacabbcaaabbbccbabbaababbcacbacaabcbaabbcbbaabbbaaaabcbbaabcbcbabaaacacbcbcabcbbabbbabbbacbcabccbbaabbbabbaaabbcabccbbabcbaaababcbbbbbaabcacbbbbacccababccbacbbabbbaaccbcabcbcbbaaabcbabaccbacbbbbbccbbacabbcaaabbaabbcabbcccbbbacabbbcaccbaacacabbabcbcbbabacbcaacbbbbaabcbbbcbbcaabbbbcbaabaccbabbcccaaabbbaabbababbbabccbabbabcbbacaabbbcabbabacbacccbababbbbbbcacbccabcabbbbccbcbbcacbbbbbcaaabcaabcacbbcabbbbbcacabccaacacbcbabcabbaababaaabccbbbaabbaacbcaaaabccabacacabaaaaacbbbbabaabcaacccbcacbbbbbacbcabcbabcccbabacaacbbaaacbbbccbbbbbbbccbabbcbcccabbbabbaababbababaacacbbbaaabcbbccaabacabbbacbbaacababcbbcabaabcbabbccbabaacbccabcbbbbbbbbcacbbababcccbaacacbbbbbbbcabaabbbababbbcaabcbacababababcbbabbcccababbbabbaacbbacbcaacbbbabcbbcbcbbacacacbaacbbbbcababbcbaccabbbbccbabacaabcabbccaacabccbabaaaccbbaccbbcccbbababcaaaabcbabaaababaccaaccaaaabbbcbcacbbbcbbbbbabbbacbacbcbcbcbcbbacababcbcbbcbcbbbbaacacccababbcabbbabbbabbabcccabbabbcaacaababacbaabbacabababcabaabbabbaabbbabacbbbbacbbbbcbbcacbbaabbcbbbcabbbcbcbccbacacccacbcaabcbbbcbaaabababbaacacabccbbaacaaababbbabcaabbbcabcaccbcaababbbbbabbbaaaaaaabbbbbcbacabbababbcabcbcbababaabbbbacbabcbbabacabcbaabaaaacbcabbbbbaccaacbbcbbbaccacccabbbbbbaaccaaabaacbbaabbbacacaabaaabbaacbbbbbcaabaababcbbabacbabaabbbaccababbabacbbbbbbbbbaaabcbcaaccacabaabbbaacbbcbcabcacbbabcbcbbbccabbbbababbaacabbabbaabbcaaaaccccbabccacbbabcbbbaabcaaacbbbbbbcbbbacaccccccbaaaababaacbaaaccacaacbccbcababcbcbcaacbaabbaaabaacbbaabbcaacaabbbabcabcababaaaabababbaabacbaabbaabbacaabcaaabbcbbbcabbbbcbbbbaabbbcacbcaaacbacabcbcbbbcacabbabccbcbaabbababbccbacabcbbaacbbbcacabbabcacbaaaaccccbcbbababbbaababbcacbbaabccaabccabbcaccaabcccacbababbabbcbabbbbccbbbbbbbbababbaababbbabbbcbaabbccbbaabbaacbacaabccbbabbbcbbbacbaaaccbabccaaaaccaacabbbbcabbcbbaacbcacabbbbcaccabcabbcbbabababbcabcbacbabbbaabbbabcacacacccbbbbcbaccbbaabacccbabbcacaabaabcbbcbbbbbccbbabbcabbcaaabaaaaacaaababaaacbbbcabbaabaaacccabbaabbaaaacabacbccbbabcabcbcbcbacbaabbacbbbabbbbbabbbacaccbbcbabaacaabcabcacbbbacbababacabacaacabccaaabcaaacbacbcbbabbbaaccaabbaccbbccabaccaababbabbcbaabaaabbbbacbacbcaaacbbaababbccbbbabbabccabcaccaabbababbacbababccabbbabbcabacaccbabcacbcccbccababacababcbbccabbccabbcccacbabacbcaccbbaacaaabababacaccbcabccbbcabacbccaaaccbcbcabbcaabababcbbacbcabbbcbbabbacbccbaaaabbbcbcbbbacabcabbbbcccbacbbcaacabcbbbcbbbbcbbbabcbacbbcacbacbcbacbbbccbaaababbaaabcabbaaaababbcccbbbbacbbccabacbbbabbbcbccbbaaabbcababbbccababccbbacaabbabccbaccacbbbcbcbbaabbcaabcccbaacabbbbbbaababaacbbaaabccbacaabacbcbbbbbaaaabbabbbabcbccbbbbbccbaacaccabcbbcbbcacbbbcabccbbbacccbabacbbabacbbacbbabbbcacababbbabcbbaaacbabcbaaaabccacbbbbcabaabbbbbabbacbcbaabbcabaccbacacbcbcbcbcbabacaabcabcbbaaabbbcabbcccabbcbcccbbaacacaabbabaabacbaaaacaabbbbbcababcaaaabcabacbbacaaabccacccbcccbccccbacaabcbbbbcaabcbbbbbbacabbbaacbccaaccaababcbbacbcaacacabbcaacaacbcccbbaaaabbabaccbacbabbbbccbbababbcbbacababbababcaabaabbbbbccabbbbbaacabaabbcbaabcbbacabacaaabaabbbcbcabcbbbcbcbbabbbbcbaccabbbaabbbcbbacbcbcbacbbabccbabbabcbbbcbbbbccabaabcbbbcaabcacbcbbcaaabcbacbcabcbabbbcbabbbcbababbcaaaaacbbbbbaaacbbcabcbcbaaababcabaccbcbbcbcbbacababccacbcbbbbbaccccbcbaaacbbcbaaabccaacbbaaaacbaabbcaaabacaacaabbaababbababaabacbbbabaaaabcbcbbabcbabcacabaabccabaababbbbccbbccacbaaaaacbbacbbbbaabaccbbbabbbcbaaaccbaacccbaaaacaabbacccbbbbaababcbaccabbaabcbbccacbcabcbcbcacbbabbbaacaaaacabcbabbaaabcccbccccbaabbabbbaaacbccabcabbababaacababbaaaabbbcbabbbaaccccabbaacaabbbabaaabbbcacbaaaaacaaabccaccbababcccbaababbbabcbaaababbaababbaaababaabcabcacaacccbcaabbacbaccacbbbbbaacacaccabbbbbbbbbccbbcbbbbabcbabacbcbbbbbbbbacabbababacccbcbaabbbbabcbbbbabbcabcaacbbbaabacabbcbbbcbcbababbcaaaabbaacbcabbbaaaabccccbccbbbcacbaaaccaacbabbbaaaabbbbaabbabccccbbccabbbacaabbbbababababacbcacabbbbabacbbbbaabbaaaaabcaaaaccabbbbcabaccccbcaaabbcaacbcbbcbbabaabbbbaccaabbbbaabbbaccbbbcbbaccabbbccbabcbbcbccbbabbbbccbbaacbcbacbbaabcccbabbbaabbaabbacbbbabcaacacaaabccbabaacbbcabbacabbabbaaababcbbbbcbabacbaacbcbbbbbccbbbbbccbbbccbbbbbbbcbcbabaabbbbbccbacbbbbababaaaaacbcabababbababcbbbaacacbbcbbabaccbbcbbbacbabcacbabbbacabcababaaccaaabcaabbbabaabbccccaabbacbbabbbabbbbaabccbabbacbcbaacccabbcaccbabbcbbaaabbbbcbcbbbcaaabbbabcbbccabbbcbcacccbcabbacbccaaacbcacabaccbbbbbcbbbbcbbaaaabbbabbaabcbaabbabbbbcbaabaccabccbbbbbccbbacbcacbbbabbbabcacaabbabcaabacbcccabbbbbbbabbacbbabbccabbbabbbcbbaccaacccbbacaaccaabbbbaacbbbbbccbbcaacbcabababcbccbbbaababaaabbbbabbcaccabaaacbbcbbbabacbbabacbbbcbabccbbcbacbbbabcabbcacaaaaccbaabbbbacbaabbbbabbbabaccabbbbcabaaacbaacacaabbbbacababbaaabbcbccaabcbbbaaacbbacbbbacabacaaabcababccaacababbcabaccbbabbaccbaccbcbbacbcabbabcabcbacabcbbbcbcccaacbbbbbbccbcaccabbbabbacbcaccaabacbbbaaaaccaabbabababcaaaccabcaaccababababaaabbaababbacabacaaacbbbcbbacbaabbbccbbcbcbaccabbbcbabababccbacaabaabababccbcabaabbcbaabcbabbcbabcabaaacbbcbcccbcbcabbbbaccbabcaccbbaaaababcaaccabbabaacabaaabbbbbabbbbbbbcacbbcbbbbcbabccabcaabbccbcbaabaacaabccbbabaacbccbaaaabbbcaccbabacbaccabbbabacccacbbbbaaccbbabcabbaabbcbacbaccaabbbccbaababaacaabacbbabccbbbbcababbaaccaaacbccbcbccbcbaaababbbbbbbbbacbacbaabbabaabbbabacabacabacabaaaaabcbbababbaacabbbabbcbabbacaabababcbacaaaabbbcbbcccabcacacaabbbababaabbbacabababcabbbabbbaaacbabbbccccaaacaaaaaaaaaaacbbbbbcbababbcacababbcaabcbabbccabbcbcbccccaabcbbacbbbabbaabbcccabaccbcaccbbaabbbaaabaabababbbaaabcbabbaacccbbbacaaaacbccbacbabbcbabbabbabbabcbacabbcbbbaaabbccbbcbabaaabaababacabacbbababcbbcaabccababbacabacbbcbcbabbccabcaaabaaacabbcbbcabacbaaababacbbbcbbaaaacbbcaccabcbaacbcabbcabbcbbbaabccbaaaaacbbaaaababcabbbbbbacacabcbababbababacaacbbbaabbbaaaabbabcaaacbbbababbabacaabbbbababbaabbbbbbbbacbcbbbbcbcbaabcbbabbcbabbcbbbcabaccaacbbbcabcaaabbbabacbaaaccbcbbabaabacabbbacbbcbbaaaabbbacbaacbbcbbabbaabbbabcaccabcabcabaaabcababbacbbbbaaaabbcbbbbbbcaabbbaaacacccabcaccacabbbacbccbbaccbbbccbaacbbbcbbbcbbaabcbbcbbcbaccbbaaaabbbabacaaacbbbcaabbbcabbbbbaacbbbcbbaacbcabccbcaabbcaabcaaabbabcbbaccaabcaccabcbababcbbabbabbbbbbbbcbbccbababbccabbbbcbabbbbbbaaabcbbacbcccacccacbabcacbbabcbbcbbbcbbbababaacbacbbccabcabcbabaabbcabbbbbbccbcbbccbcabbbaaacbbacaacbabacbbcccbabababacbbbbbbaabcbaaccabcabbbbbbacbacbbbcbccbbababcabaaabbabaccaabbccabacabacbaaabbccbbcacaabbabbcabbbbaaabbbbbbcaacacbccaabbbbaaabcbabbaabcbbbaabbaaaacabaacbbbaabcabababccbabcabcbabaaccccccccbccbcbccbbaaabaccabcbbccabbbaccbbbcaabaaccbcbabbabcbabacbbbbacbcbbabbabbcbaaabbbcaaaabcbacbabbaaabbbbabaaccabbbaaccbbcbbbbaaccbbbbaacbbcbbacbbbbaaababaaaacbaacbbcbabaccaabbbbbabbaaaacbbbbbcaacacacbaaabcbabbccbbbcaccbcabbbababcbbbbbbbcbabbbccbabbaabbcccbbbaabaaabbcacabbcbacbbbaababcbaaabacbaaabcbababacbaabbbaabababccbaccbbcbabccaabaccbacacabcbabaaaabbaccbaacbaacabccabbabacbbbbcaaabcabbcbbbabbabaacaccbbacbbcabcbcbbbabbaacaabbabcacabbbbcabbccbbcabbaaabbbbaaaacabcccabbbabbbbbbbccabbaccbccbbaccbbaabbccaabbbabcbbabbcccbbcbaabaaaabbacbccbacbcbaacbacabbaaababacbbbbbaaaacbacbacbabbaabcbbccbaababcbabbcbacbabbacbaacacccbbaabaabaacbbbcacbabacbccbaabbacaaccbbbcacbbcccbcabcbbcbbacaabcbbcbbcbccaaababcbaaacaaccbbabbbbacbcbacbbcababbabacbcbbbbababbaabaacaabbabaabcaaaccaabccbcaacbacbcbbabcbabaacaaccabbcbbabbbbabccbacaacbbccbbbbbbbbccbcacbbbcacbaaacbabcbcaaaacbcbbbbabbcbcaabaacacbbababacbbbccbabbacabccbcacaacacababbacabbcbbbaaaaabaacbbbcabacbccbbaaabcacabcbcaabbacbaababbbacbbccbcaacabbbbacaabaabcaaccabcaacbaabcbbabcbbacbcaaababcacaaabbbabbcbacbbabcbbbbbbbcbabaccbbcbabbabccbaaabccacacbbbaabbbcbbbbbabcbbacbaacaaabacbaaacbabbbcbcbbbbbbbbcabbacbbabbcaaabbbbabbabababbacacaaabcbbcabaccbaaacabcbbabbbaaabbcbcaabbbcaaababaabcbabbaabcbcbbccbbcbcbbbbbbbccacbbbbcbbacbbcaacbabbaabbacabccacbacbbbbccaabcbaabababcbbbaacabaacbbaacbabbbbbcbbbbbbaaaabcbbbcabbcbbacabacbbacbbabbccacbbbbbbabcabcbbbcbbcbbbbcbaaacabaaaaabaabbbbacbabcccabbabcbbbbacacbbabcbcbbabbaacbbabaabbaaabaaabcbbbaaaacabacbcccabbbaabbcabcbaacbabbbaaacbbbcabbbababbaaccbacbbcccccaabbbaaaaacabbcccabbabacbaabbbaabbcccbbaaabbbbacaabbabbbbcaacaabcbbbbcacaaaabacbcbaacaccabcbbabccbcbabaabaabbccaaacaacababbcbbcbaabbcbabbbacaabbbbbbacbccbbbccccbaabaabacbacccbbbbbbbbbbbbbbcabcbaaaacbcbbbbcbcbbbcbbaabcbcaccbccabbaaababaaccbbacbcbcbababcabccbcaccccabbbababbabbbcabcccabbbccbbacbcbcacbbbbababbbbcbbcbbaccabbccbcaccbcbbaaabaacabcbbabccbbacbbacbabaabccbbbaabccaaaabacabbacbaababbacaabbbcacaaaaababbabbaacbcabbbbcababacbaaabaaaabaaaacbbcbabaacaccbcabacabbcbcaacaababbcaabbcaccbcacaabbcaccccababcbbaabbbbbbbaaaccaabbacccbccaacbbababacbbbccbacbbccaabaaccbccabaabccbaabcccabcbabaaabbbbcabbcbcaabaccbacbbabaabcccbccbcbbcaaccbbccbccaacbbbacaacbbbbbcabacbaacbbcbcbaabaabbbbbababbbabcababbbbabbbcbbcbbacbcabcbbaacbbbabbbbbbaabcaaacbbbbcaaaaabbbbcbbbccbcabcbabbcbcaacaabbbbbabbababcbaabcbccabbbcccaaaaaacaaabbaaaabaabaaabccaabbabacaabbbbabaccbbbabbabacbbcacbbcbabbaacbbbcabacbbbacbabaaaaaaaaccababbcabcabaabbbbabbcabaaacbaababccbacbbbbacbbbbabbbabbabbaabccababbcacbccccaabcabbbcbaaaaabbcbcbaabcaaabaabacacbbbbabcaabbcccbcbaaabbcabbbbbcbcacbbaacacbbbbbbccaacbbcaaaccbaaaccbbabbbabbbabbaabacbbabbabcbaaaccbcbbaabaacbaabcbaaabaabccabccabbbccbbcbbabacbabccbbccbbaabcbaababbbbbaccabacbbaaabbbabcccabccbcbbacaacaacbabccccbcbbcbbbbcaabbaccbcababbbabbabcbbbaaaccaabcacaabaaccacbabcabbbbacbbbababcbbaccbacababcbcbbbabcacacabbbbccaaccbbbababbaabccbbccbaaaaababccbccccabcbccccccccbabccbaabcbbbbcabaacababbabbcacabaacbabcbababbacbbabbccbababaabaaaaabcbbacabaaabbbbbabbbabbbbaacaabacabbcaabbbaccabaaaacababacabccabbcbcbaaccaccaccabbababbaabccbaaacbacaaacbbcaaababbbbbbcbcacbbabaccaabccbbccbcbabbbccbcbcbaacaababcbcbcbbababbcbcabbbbcaaaaababcbaacacbabbabaacacbbbcbbabbbcbbbbabbaabacccbaabcbabcbbaaacbbbbcbaaaababaacbcbaaabbbabbcaabaaababaacaccbbbcbabbabaabcabbbbbabaacacacbcbbbcccbbabccccacbbbabababcbabaacbabcbacbaacbbbcbbaabababcbbacabbaccbaccababaabbcabbaaabbabbcbcaaaccbcababcabccacbcaacaacacabbabcaccacbbacbababbabbbbaaacccabcbcaabbabbbbaabbccbbabacababacbbabbaaabccbbacabcbbbbbbababbcacabbbbbcbbbbcabcabccbbbbcbaccbabababcbabbbbbacbcacabbabbbbbbbabbbbbabbaaaaccaaaaacccbcbbaabbabbbcbcbaaacbacababbbabaacbabbbccbaacababaaaaabaaacbcabbbccaabaaaabbbaaaabaccbbabacbbbbbbabaabbababaababbbbaaabbbcaacbbbaaabcabbabbcabcbacaacbaababaacaaabababcacacccbbbbbabbbbbacaabcbbacabcbabbbabbbcbbbbbcabbabaabbcbbcbaacbbaabbaccaaacbbabaabbaaacaababbaabbccaaccbcbbacccabcacbabbbcbcaacbbcbaabbcabcbcbaaacabaacbacabaaacacbbbaabbcacbcabbacbccbbaaccbaabbbabbabbcbccacbaacbbbbbcbcbbbabaaabbbaaabababbbabbbcbacbbbbaabbacbabbababcabbbbabbbbcabcababbbcaabcbaaaccabcbcaaaabbcbcbbcaaabbbcbabbcabbaabcbbcabbbaabbbbabcaaabaaaaacbbcbacabbabaccbbbbccbabbaacaabbbbbbbbaabacbababcbcbaabbbbccccbcabbbbabaaabaacbcbbbbbacaaaababbbacaacaaacacaaccbbacccbbaacababaaacbabacacbababbccaabbabacbcbbbbbcabbabacabbacbaccbaaccabbbcbcccaacababbcababaaabbbabccbbacabcaccbabbcabbbbbababacbbcbcccacacbabcbccababaccabbaabbcbcbaacaccaababbbcbbbcacbccbaabbbabcaacaaaacabccbacacbbabbabcbcbccbccbbcaabbcaaabbabbabbabccbabaaaaacbbbabbacbcbaccaababcabcacacacbccbabaaaabbbbaabcbacabbbaaaacacbcabcbbcacbbabbbcbcbbbaaaabbcbabaaabccabacbcabaacacbbccbbcbbbaccbcbbaababbbbbbccbcaaccbbcbbabcbccbbcbbcbacbaacaccaabbbbabababcbcbcacbccaaabbbacaaaccbaccabbcaaabbababcbbababbccbbccaababbaaaaacabbcacbcbbccccaacaaabccccbbabbbbbbcaaabacbaaacaabbbcacbbacbbbbbabbbbbbcbabbbbbaccaaabcabaacbcabcbbbaacbabbacaaacbbabccabcbacaabbcaaaaabaaabbcbcbabbabcbcbbbacbabcbbbabcaaacbbcabbbcbbacaccbaacabbccbbcbacbabaabababbbcbbbbaabacbccaabacbbccccbcaaaccbabbaacbacbbccbcbbcaacacabcbbccbaaaacabbbbbabcbcbbcbbcbabbacbcbaccbabcbccbcbcbbacaacbbbababbaabbababaacabbababbbbcbbbbbababcacbbcbabbbbaaabcbcbcbcbbbaabbababcabbaaabbbbbcbcbcbababacbbbcabbacbacbabcaaaabbbcccacccbbbacaacbabaacabcbbcacbbabbabbbbacbabacacbbbabbcbbbcacabababbbcbbcacbbabcbbcccacabaababcbcbbbcbacbcacbbbaaacbbabbccbcbabaaaabccbbabcbcabbbaabcbcabaaaccbbccaabbcbabcbaabaccaacbaaaaabbbbbcabcbaccbbcabbbbaaaabaabcbcbbbabcbacbbaaccbbbbcaccbcabbabcbaabbcbcbbbabbbabbcbaaaaababacbcabccacabbbabaabcbbbccbbabbbaabccbbbbccbbbacbcaaccbbcaccabaaacabcabbbbbbccbbcbbbacbbabbbaacbabcbbbccbbcccbabbaabbbabbbbbbcbababababaacaabcacbcbbcabbbbbcbcbcbcbacbbaacbbaabcbbcbaababacabccacbcbccbaababbaabbababcaabaccababbbccbcaacbbbaaaabbbacbabaabbbbaabbbbbcbaacabbbbccbbccaaabbcbcbbabbbcbcaaaaabbbbbccbcacbabcacbabbbaaccabcabacbcaaabbccaacbbccbaaccccaccabbaaabbaabcabcbccbbbbcababcbaaccacabcbbaaaccabbacbaababcabcabacbcbbbccbaaabbbacabcbbbbbabacbbaacabbbabcabbcbbbbacaacbcbacbacaaaacbbbbcaccbbcaacbaacbcbaacbbccabcbbcbaccbbaacbbccaacaccccbbbabbbcacbcaaacbbbbcbabbbbaaabacbbcabbbbabcbbbacabbaabbccbbcccbabaacaaacbacbcaaabaacbaabaabbabcbabaacbaabbacccbacbbabccaabcccbbaabaaacbaaababccccbabaacacbbabababacbaabbcbaacbccaacbaabcbcacbcbcaababbaabcabbabaabbbcbaacabcbcbaabbbccaaaabaaabbcbacbababacbbaabcabbcabbbacbbacbbabcabbacacccbcccbaabbcbbbbaabacabbcacabbabbcbacbabbbacaaccbaccbbbbacacaaaacbccbbbaabbcbacbbabacbcbbbaaababbbccabaaaaccccabaccacccbbcbbabbbbaacabaaccabcbbaabbcacaaacaabccacbcbcabaabbbcabaacbbbbabbabbccaacbccabbbcaccbbbaaccbbbbababbacabbbabacbabbcaabcbacccbcbabcabbbacabccbaacbccbcbaabbacccbbbbabcbbbabbabccacbabbacaccbaccbcccaaccbbacbbaacbbbbaacbcabaaacaacabcaccbbbabababbabcaabcaabbbcabccbbcbabbcbabbbaaaaabacabcabbcaabcbccbbabcbbcabccabcaaccacbbcbcaababcabbbbcbbabcccababcbbababcabbbbcbbbcbcaaaaabacccbaabacbbaacaaababbbbacbababbbbbaaabcacabcbbababbbbbcbabbcabcbbaacaaaabbbaabbabbacbcbaacabcbbacabcccbbbcbbcbbaabcaabbccbaabaacbaaccbcaacbacccaabaabbababbacbbbbbbbabbacbabbbbccbabcacbbcbbbabbcacacbbccabaccbbbcccbbacbcaacaabcbbbbaabaaabbbabbcabaaacbbbcacbcaacbaabbbbbbcbbcacbbbaccaccaacaccbaaabbbbbbbbbaabcbaaabcabcaabbbbabcccbcbaabbbccbbbbbcbaabbbbbbbbbcacbbacaabbcbacbbbaabaababcbbcababbcabcccbaabccaaaabbabbbcbbbcbbcbbabbaabacabcbbabbbabbbacacababcccbbacbbbbcbacccabccacbacbbcabaccaabcbcccbabaacabccabcbbacbacaaaccbaacbcbcbccccbbcbbcbbcbaaccbabacccabbabbbbabacbccbcaaccabcbabbbbbbcbbacbbabbaccccccbbacbacabbcaaccbacaaccaabacabaaaaabbbcacaabaabbbcbcbabbacabbbacabcabbcbaabcbbaabcccbbbacaacabbabcccbabbacababbccaaabbabcbcacbbcbbcaccacbaabaacabbbaccaaababcbbccbcbaccccabcaaacacbaababbbbcaaacbaacbababbbacbabaabbabacacccbcbbcccbbcbbbccbbcbcbbbbbcbbbabcbbabcababcacaabbabbcbacbaababacbabacbaaabaacabbbbabcbaaabbbbcbcabbbbbabcbcbabbabbbbababccabaabcbabbacbbbbbabcbacabbbaacbbabbcbccbcabbbcbaacabbbbbcbbbccbbabcacbacaaacbbbacbbabbcacbaaccbbababbcbaacbbaaccbcabbabccabbbababaabbbabbaabbbcabcbabcbabcbbcbacccbccbcbcababbabccabaacccbacaabcbacabbbbcbbbbaccacaabbaaacaacbbacaaaccbaabcccbabbcbbccbbbbbcabbbacbaabbbaaccbbccbbccbabaabccaabacaaacbcaacbcbacabbcabbccbccabbbbacacbcbcacbaaaababbcaacabacbbbacbbbbabbcacbbbbcaababbabaabbaccacccabcbccbbbcacbccbbcbcbcbcccbaabaacaabbbabbbacaabbcccbcbabbbbacabbabbcbabaacccbbbbacabaaababccaababacabaabbaabbabbbcbcbccbbbaaabbbacbcbbcaabaabbabcababcbbbbaaacabaabcbaabbbababbbbaacaaabaacaababbccbcaabacaaababbbabcabaaaccabbaaabbbbcbcacaacbaaabbbbbcabababbbccbbcbcbbacbacaccacacbaabacacaabbabaccabbabbaacaaacaccbbcacbbbcbbbacabccbbcacaaabbbcbbababcbacaabaabaabcbbbbabccbbacbabcbbabaabccacaaabcbbbcbacbbaccaacbcaabbbbcbbbcbcccbbcabcaabbababbbccbbbbcbaaabcacbabbabbbabaacabbbbabcbbabacccccbbaccbaacaabacbccbcaababbacaabccccbaaaaabbbbabababcccabbabbcbbcabbbaacaaaabacbbacbbcccabccbbbcccbaababbcaacbaacbaabccbaacabcbbcbaccabababcbbcbbbbaabcbaaacbaaabaaabacaabbcbaabaabbcbacccabcbbaacbbbbacaabcabababaaaaababbbacbcbaccbbbbcacbbababbacbcccabcccbccbbbbaaaaabcbccaabbacbbacacccaaccbbbaabbaacbcbabbaacbbcccbcccabccbacaaacaabcabccbbbcabbcabcbbbcabbaaacbbcbbcbbabcacbbbcbaabbbcbbacbcbbbbbbbcccbbbccccbcabbbccabacaabbababbbcacabcbbbbaacbaabcabcbcaaababbbabbcbabbbbcababbbbaabbcbcbabcaacbccaabcbaccbaccacabcbbabcbbbabbbbbbccbcbccbccabcabbbaacbacbcbaaababcaacbbaaabaaaaacbacbcbaabbbaccabcbabbccaaabbababbabcacbcacbbcaacbbbaacbabaabbccccbbbbbaaabbabaacbbaabccbbabbcbabaababbbcbacabacaaaaababbbabaaaaaacbaaacbacccccbbcbbbacbbccbbbbacacbcabbbabbbbbbbbacbacbabccbbcaabacabaabbccbccabbbabaabbbccbacaaabbacbccaabaabaaabacaabcbcbccaaabbbcbcbbcbbbcccbabacbcbacbbaaacbcbabbcbacacabcccbbaabcbccabbbbbacaabcbabbababaabccbacaabcbcbbbacbbbcbbbbbbcbcbacabaaaabaacbabbcaaaacbacbcabccaccccabcbabbababbcbbbcbbccbababbbbbbbbcbcaabcabcbbbcbbbaacccccacabcbacbbbaabbccacbbbbbcbcbaccbcaacbbabbaabcbbbabbabbaabcbbcbbbaabbabcbbccbacabccabaaaaacabccbcbabaccbcbbcbbccbcbcabbabaaabaababacababaaacbbbacbacabbbababababbbbaaaaabccabaacccabacaabbbcbbbabbbababcbccaaababcbabacabaabbabbabaabbaababbbbcbbbaabbcbbaacbaabbbbabbabbbababbbbbcbabbcbbabcbcacbaaaacbcccbbbaaababbcbabbbbcbcabacbbaaaabbbbaabbbcbaababbbbacbabaabaaabaabacaccbbacbcabbbbbcacababcbabaaacbaababacbbbbbaacbabcbcaacbbbbcbbcbccbabbbbbbcbcabacbbbabcbccabaabbbcbabababcacccbacaabccbbccbabbabcbaabaaabaacababbcbbbcccacbacaabbbcbcbbaacaaabcaaabcbabbbaabbaabaaabcbbcbbbabbbabbabbacbabbbbababcbabacbabacbbaabbbbaabbbcaaacbbbcabbbbcbbacbbaabbbaaabacabaabacabbabcaacabbaabcaccbaabcbaaaccacacccabbcbcbcacbcbbbbbccccaabcccbcacabccbaabbabaaaaaabbccacbcbcacababbcaaccbcbacbbbabbbaabaaabcaabaaacabbbbbaabbaababbbcbbbacbabaabbcaccbbbaaabccaccaabacbbcbabaaaabbccaaacaccbbbaabbaaccbbcbbccabbbcbbcbacbccbaaaaabbbbcbacababacaabcaabcacacbacbcabbaabaabaabbabcbbcbbaaccbaccabcabcbcabababbaabbbbcabbbacbcbaabacccacabbaabbacbbccbcbcccacacabaabccbacacbbaabbbbbbbaaaabbbbcbbbaccacabbbbbaacbacaabcaabbacbaccbbbcaaccaabbaaaaccbabbcacbbbaabbbbbcbaabccabacbabacbbbaccaabaabbabcbabcbbcacacabbaabbabcbbabbabcaaabbcabccccbbbbacabbabcbaabbcacbaaabacccbababcababaabaaccbbbbabcaabbabacaaacbbccccccaccabbbabbababbbbababaabccbabbabbcacbbbcabacbcbababbbabbbababcababbcabaabbbbabbcbacbabbccccaababccacbbcaacbbcbabaaccacabbcbaccacbcaabbcbcacacabaaabbcbaaabaacbacbbbaaaabcbcbbabacaababaabbcbabacbbacababcbacbabcbaababacaabbbaaacbbcbbbaaabbbabbbaacabbbaabbabbbcbcabbcccaabbbbcbcacabbaababbbcbbacbbccacbabcbbbbbbaacbbbbcaaacaaacaacbbaababcbbaabccbbbccbcaabbaabccbcbcaaabcaabcbaaabbcbaaccbacacaaaaaacabacbbabaaaabccbcaacbcbbbabbaacbbabaabbccacaabbcbbbaaccaabbbaabcbbbbcbcbbbbababbbacaabaaabbbcabbcaccaabbccbbcbbcaaacbabcbcbbcbbabbccbcbbbbbbccbbbcbbcabbbbabccbcaabcccbacaacaacabcaabacabbaccacabcbabbbaabcbbbbaccbabcacbbaabcbaabacbbbcbcbcbacbbbbbbbcbaabbaaccbabbacbbcccaaccbbaacbcabcacbaabbababaaaabcabbbbaacaaacbabbbcacabbabccabbcbbcbbacccaabbacabbbabcabbaccaacbabbbbbacbacccaabaabbccaababbaaccabcbacbaabcbbbbbbbbbbabcbccabbbbaaaacbaacababbbbabbcbcbcccbaacaabbbaabaabbabbcbaccababcaabccaaabbcaaacbbbbacaacaaccaacaaaacabcacccaacabcbaababcacccbbabccbbcbbbbbbabbabbabbbbcbcabbbcabacaabaaabbbcabbbbbbaababbbccbbbabccbbbbababbcaabcbaacacbbcabbbcacbbbbcbabcbbbbbbbaacccbbcacacaacacbbbbbaaacaaabbbbabaacbcaabcbabbbabacacbcbbaababbaabbcbbbaabbcabaccbbcaababbabbcaacbacbbcacbccbbcaabbcbaaabaccababaaacaabccbbccaacbccbaabcbbbbbaccbbaaabbcbcbbbbbabbaaccaaababbabccbbcaabbcaabbbcacbaccaabbcacbbbbbcbaabccabbccbbbcbaabcacbababbccbacccbacaabbaaaaacacbbbbaaccbabaccabbaacbccbbbbbcacbaabcbcababbcacbbaccacacbaaaccbbaaaabacbaaabbcbccbbbabaacbcaabaaaccabccabaaaabaaacbaabcbacabcaacaaaaabbabcccbbbbbbccbaccbbabbbaabbcbbbbcbbbbababbbbacbaabaabcbbbabccaabccaccbacabbbabbaabbcabcbbbaabbabbacabaaaababbbcbcbbbaacbbcbcccabaaacbacbbbbabaabbbabaabcaaaacbcabccbbccabbbabbbabccabacbaaaacbcabbcbccbcbcbaacaccbcacabbbbbbaaccababaaaacabccbbccbbabccaabbaaaccbabcabbbcaccbcbacababaaaacaaacbaacbacbbbccbcbacacbcabbbbbbbbbcbbacbbbbbbbabacababcaacbbcbabbbcacbaaababcbabcbacacabbcbbcccaaaccbcccacabbaabaababaaaabbbabbcabbcaaaacbbcbbbcbbacbcbcbbabbacacbbccbccabbbabbaababbbabbacaabbbcccbbcbabbcaacbbaaaabbabbbacabbccbaabbcaabbccacbacbbbcaabcbbbabcaaabaababbbbabacaabaabaacccabbaccbabbbabcaabbbcabacabbabbbbabbbbbbabbbbbbcabaaabbbbbccaababccbcaacbccaacbcbaaaacbabcbaabccbcbabbcabaaabbaacbccccacbabcbcbbcbaacabcacccabaaaccbabbcaaabacbbabbacbcbbcbacbaabbcbbcaababbabcbabbabaaabacbbbbbbabaaabababaaabccbabcaacbababcbabbcacaacbcbbababcbccaabcabaaabbaacaabccbcabbabcabacbccaccabbcaccbbcbacacbcaaaabccacaaaaccbcabbcaaaabbbbaccccaacabbcaacabcbacaaacccabbbbcaabbbaabacaabccbccbabbbcbcbbbcbcaaabbbabbccbabbcabbbacbaccabbbbbbbbbbababbaabbaaaaababaabbaabbaabcabacbcaaabbaaaccaaccbaaaabbabacbbaccbbaacbccbbbcbbabcbccbbaabbbacacababbacaabccbaaccabcbccacaabcbcbbbbcbcbcaaabccbbacbbbabbbabbacaacccaaabbccbaacbabaacbbbbcabaabbbabaaccacaccbacbcbbaabbbbbacabaaacbabacaabcbbcabbaccbbabaccbcabccabbcbbaaccababbabbccbbabbcaabaabacbbaacbaacbcabaaaabcbbaaaabcaabbbbcbaaabbcbcaabbbbbcbbcbbbbaabbbbaccaccbccacaaabbabcbbbcbaabaaaaccccacababbbbaacbacabbbbbbccccabcbabccabcaabbbcbbcbababaccbbbaaabcbacbaaaabcbbaabbbcccbcaccccabbcabaabacbbaccabacbababbbaaabccbaacabccacabbbbaabbbbbabcabbaaabaababcbbcbcaabacabbabbaaabacabcbcbabacccbbaacabbbcccabbccabbcbbccbababbcbbcabcacbbcbbaaaaacabcabbacbabccabbbbbcaabbabbbbbcbcaaaacbbcbbabbbbacacbbacbbcabbabbcbbababbbaabacbbcabbbbacaccaabccbbbbbbaaabcabccbabbacaaabbbbababcabcaaabaaaaacaaaccaaababcbbbcbacacbaaccbbaccbbbcaaacbabbcacbbaaaccbaccbaabcbbbbbcbacbbabaabbabccccbccacababcbbcaabcbaccabacbbcabacbbbbbcbcbbbbabcabcbabaccbbacaaccbabcabcabbbcbbcbaabaaccaaabcbcabbccaacbaaaabcacababbcaaaabcbcbbbbbcbabbbbbababaaababacbabaacababbbbcbacaabcabbbbabbbccbababbabaaacabbbbacbcbabbbbcbabbcbcaccababacaababbbcbbabbcacbcbbcbbcbccbcaaaaabccaababaccbbbcabaabbbbcbbacacabbcbcbababbccbbbbabcabbaabbbaacbccbcbbccbcaaabacacccbaaccacabaabbbbcccbbbcbbbbccaccbbbacbbabbbabbaabbbcaacbbcabbbabcbccbbacccaccbbbbcabbbabcbbacacabcacbcbbbcaccbacacbccbaaabaabbcbcbabcaaaaaaabcbccbbcbbbbabaaacbbcbaabbbccabbacbabaccacaaccabbbbbcacbbcbabcabbcbabbbcbbaacccaabbbbaaabcababbcbbabbabacccbabacacacbcbababbbbabbbccaaabbbabccaacbaabcbccbcbccccbbacabbacbbbbbbbbabbabbcaabcaccbccababcbbcccbbcaababaacbbacbcbaaabbbbbbacbcbbbaabcabaabbcbbacabbacaacbbbbbababcbbcbbaabbbaaaccbbbacacabbaabbcabbcbbacbabbbbbcabbcbccbbbbbaaabbbbabbbcbbabbabbbabbbabcbbcbababbcacabbbaaabaaaabaacccbbcacccbbaccccabaccaacccbaacabaabbbbcbbcbbacbbbabcaccabccaacbaccabbccabaabbcaacabbaaaabaabaabccbbccbaabbabaaabbaaccbcabccbaacbaabacacbbbaaabbaacaaabbbbccbababbaaabcbaababbbbbcccbbbacabaaabaabbcbcabaabacbbbbbaacbaaaabaabcbabacbcababccbaabcbcbcbbcbaccbaccacacabcacabbabbcacabcacaabbbbcaabcccbacbccababbacbbbbbcccbbacccabbcbcabbababbacacabcbbbbbbcabccbcbccbbaaaccbbcbbcabbbbbbacbabccbbabbbbaacabaacaacbaacbcbbabbcbbacbbaaacacacbbcaaabaabbcccaaaaacbcbbbbabccaabaccaaccbbbccbbbbaaababcbbabbbbbabcabccccbacbcbaabaacaababbaaacbbbbbcbcccbacbbbcbbababacbabcbbaaaacbbbbbbbaaabcacbcbbcbbabacbcbabaccbbbcbbbcbccbbbcbbaababcabcbcbbcaaaaccbbbbcbbacbababbbacbbccabbabbabccbabbbbbcbaacbbaaccbbabcbacacbaaababbabcacbabcbbcbbcbbcabbabbabacbacbababbbbacabbbbababbbbcbaabbbbbbabbabbcbcabbabbcaaabbaababaccccbabcbbabbbabbaacabbcbabcbbbbcbbbaaacaaaabbcbbccbbcbabacabbbbbbcabbbbcbbbabbcbaabaacccacbbababbaaacabcaabacacbacbabaacbccaacbbbaaccacaabcabacbbcabacaababacbbaaacbbbccaabacccbaacbaacaacbcabbcacbbabacacbbabaabbbbbbbabcaaabaabbaaabbcacbbaaacabacbbabbbaabcbbbbbbbccbbbcaabbbbcbacabacbbbabacccbbacbacaccbabcabbcabccbcbbbabbbbabcaacabbbacbcacbacccccbacbbaaabbcbcccaabbcacabaababbbbbabbabbbbbbbbcbbabcaacacababcabcbaaabccbaacccaacabccbbabbbbbbcbbbabbaccbaababbaaaccabbabbacacbcbbaccbbbbacacbbabbabaacbaaabbaccbaababbbcccaccbbcbbbbcabcbbbababbaababbababbabcacbbabbcabbabbcaababccaabbbbcabaabcbabbaabbbcabaaacaaacbbcacbbabaabcababacaacbcbabcaabaacbbababbbbacbbacbabbababcabacccaabcccabcbcbacbacbbcbbbccacbaacbbaabacabbbbcabbbcbabbbbbccbbbbbbaabbaccbabbabbacbcabababbcbabbcbbccbbcbccbaaacbabccaaababcbbaabbcbcabbbcabcabaaabbabbccbbbbcbccaacbccbbbcbbcbbabababbbbabacbbcaaacbaabbbacbabbbbabbbbbbbbbabbbbaabaccaaabcaaabcaabccaaaacabcbaabaaabbcaaabbcacccccbacbbcbabacaaabacbbccbccbbcbbaacbbbbbaaabaccccabbbcabbabababccbbbbccaabcbcbbcbcacabbcacbaacaabaabbccbbbbbaaccbababbcbabccabcbabaabbbabbaacaccbcabbcbbbbbcabbabbbccabaabcabccbabccbbcbcacbaaabcbcbaacaabaccbcbbbbabaaaccbcbbbbbcabaaabcacbabaacbacabbbcbababbbababbbbcccbcbbbcabbbcaccacbbbbcacbaabcaaabaccabacbcbcabcaababbacbbaaabcbbabcbababababbabbabbbabcbbbbaaaacaccbbacccabbbabacbbbaaaaacaaacaabcacacaccbbabbbccacababbcabbcbcabacbaabbababbabbaabbaabbcbbbbaabbabababbbaaabcbbbbbcaaabbcabcccbccaacbbbbbabacbbbcbabaaacbbabbaccbababbaabcabbbcbacccbabbcbacababbcbcccabbacacbabbbbabbcbbabacbaabbacbccacababbcbbcbaabcbcabcabacbbbbcbcbbcbbccccbcaaabcbbbcabbabcbabbbbbccbbcbacabbcabbbccabbbbbbbabbaabcabbacbabbcaacaabababcbabbbaccacbacbccbaaaaaabbcbabbbabbbaabcabcbaababcbcaccbccbcbcbaabaaccbcabccbccabcccaccabbbbcbccabcabcacbbabbcbbcbbcbcbbbaababaaacbbbbabbbcbbbcbccbacbacccbacbbcababcbaababbbabaabaccbbabbcbabbbcabbbabbabbbbbbbbabcbbbbabaabcbabaccabccbbaababbcabbcbbbabccccaababcbbccccacbccabbbaabababbbbaacbaacabbaacabbbbaababcbbbabcaabbbcabbcbbccabbbabbbaacabcbabbbbbaaaaccbccbaaccaabbbacbbbbabbcbaccbbaacabcbbcabbcbcbcccbaacbabbbbaabbcbbcbbcbbcbbbbbbcbccaabbaabbcbcbcbababbaacaaaacaabccabababbbbaaabbbbbabbcacbbbbbcbbababbbcaaaacacbbbbabbcbcaacbaababbbbbbcbacbbcbabccabbbaabcacbcaabbabaccbbbacabbaababcaccababcabaabacbbcbbbbaacabbbaaaaaababcbccbcbbacbaababbbaacaaabbaabaccbbaacacbbbcbccbcbbbbccacaabbbcccbbbbababbcbabcaaacaabbccaababaabbbbcabaaaacbbaababbacbabbcbbaabcbbaacbaabcacaabbbabbaccbbcaaacabcbbaaabccbbbaaacabaccbbccaacacbcccccbbbccccacabbccbcbabbcaabbacbaacbbcacbcacabbccbbbbbcbbcbbcbcacbabbcbabaaaaabbbcabbbbbbabbacbaababbbcbbbccbabbbbbbacaabcbbaacbacbbaabcbabacbcabcccbaabbbbbbcaaabbbacaacbcabbcbbaaacaabbccbbaabbbbcaabbbbbabbaaccaabbbbbbbbaabbaabcbaabbccbbcbaccacabbabbacbcacccabcbcababbbbbcbbabaacbacbaababbacacbbbcbabcabaaabcbcbabbbbbaabaababbccbaaaacbabcbcabbabbaacbbcbbababbbcaaababbcaaabbabaabacabbbbbbaaccabbbbbaabbcbcccbbbbaccabcaabcbccbcbbacacbcbbbccacbabcacbbbbbccbbbbbbccbbbbcbbcabbbbbacbbbcabaaabbcbcbacbbbbaacacbbaacbbbbbcbbbbbcbcbaacabaabbcabbcbacbbaaabacbbbbbcbbbbaccabbbcababcbbabcbbbaabbabccbccabbabbbbacaabaaaaaaacbbbabbabbacabacbabbacbbccaaacaabbbccacbaaacaccbbcbbcbbabaacabaaabcaaaacaabacababbcbcbaaaacbababaabbacbaabbbbbbcaacbcbbbbcbbacaabbcbcbbbabaccccbbccaaacbcbaaaaaccaaaaabaababbcbcbcbacacbabaacabacacbcbccbcacacabbcabacaabbabbbcbacbacbbbbcbbbccaabaccbabcabacccbcbabcbbbcbaabaabbbbbbccabbbcaaabcbbccacbbaaaabbbcabccaababbccabbbaabbabcbbbbacbcbbababbbabbaaaacabbbccbabbbbbcbbacabcccbbcaaababacbaabacababababcbbbcbbacabbccaaabbabcbbcabbbbccbababaabbaabbaaaabcccccababcbacbbabaabcbaaabbabaabbcbacaaacacaccbbbbcabcbbbcaabbaaacbaabbaaabbaaaaaaabbabbacbaacbcbbcacbbbaacabcbbbababbccabaabacbcacaaababbbbcaaacaccbbacabbaaabaaccbbacbcacbaabccaaacabcccabbabbbababaccbbccaccabbbaccccababbcaaaabbbbccbbbcabbbcbbbbbabcbccbcbaaacbbbabbaacaacbbbcbcbacbabbbbabacbcbbbbcbaaacababbbacbabacbaabbacaabbababacbaacbbacbbbbcccabbbbabaccbbbabbaabbabacbaabaccbaaababacbbccbaccabcaacbabaababbbbbbaabbbaccbbbaabccabcacbaacbcbbbbabbacccaaaaccbcacbbcbbacbabbbcbbbabcbcaaacbaaabccabbbbbccbbabcaaaabcabbbbcbaaaaacbcbbbcaccbcbcbbabccaacbbbabbaabbaacacabaabaabbcaaababcabbbbbbacccbbbbbcbcabbcabcccbaaaabbcaaabbabccaacbabbbabcabacbbbbcbbbcaaccccacbbaaabbbccbbcabbccabbbbbaabbaabaabbcbbaabbabccbbbbccbaabbabcaaabbabcbbbaacbaaabcbbaaaabbabbbacbcbbbbcbbbcabacaaabbaaccabacbccbbaaacacbabbacaaccbbbabbbbabbacbaaacbbbcbabbccbbbcbabacbbbacabbcbbaacbbbacaacabcbcabcacbabaabaabacbbbababbcabbabcbbbbabacccabbcbccbbbbcababbcaacbaccbbbabcbbbcabbbabcabababbbababccaacaaaaabaacacbbacccbccaaabcbbccbbbbabbcbacbbbbacabaaccbccabcacbacacaacabcbbbaccbababbbbccacbbbbcbcbaccbbababbccbcbbcccbbcabbbcbbbabbcbbaccbabbbcaacccbaabababbcacbbbcbabccbbcabcbbacbccbbaaabccbbbabbbbababababbabbbbcbcaacbbbbaabbababacbbbbaacbbbbacabbbbbaabcbbbcbcbaaaaaabcbbbacabaabbccbcbaacbcbaaabbcbbbababbbccababcbbacbbbabccaabcaccbbaccbbaaababbbbbaababbbbbbabaabcabaaaabacbbabcccbcababccbcabccaaaaaacbbcaaababcbcbaabcbbbbbcbccacabccccbbbabcbabbbbbabaaabbcbcbccabbaaabbcabbcabcbbababacbbcbaaccbbbacacbbbbcabaabbabbbbccbcccabccabccccbcbcaacbbbbaaacbcbacbcabcbbbbbbaaaaabbbabbbabbbbabbacbcbabcaabbbbacabbcabcabacacaababbcabbbabaabacaccacabbcccbbccabbbcaaabcaaaaabccbabbcbbabbbbbbbaabbcbbbcccabacbaacababcbbbbbbbcaacaacbcccabcbcaaabbacbaabcabbbcaabbaabbaabccaccccbcbcbbcccbbacccccbcaccbaccbabacbcaccbbcabccbbbbbccbbcaccabcbbabbcabaabacbacbbaaabbacbaabcbbbcaaccbabbabcaacbcbcbbaabaaaaacbbbcabcccbbbbbbacbbcacbcabbbaabaababcaacaabbbcababbbaccbcaacbaaaaabbbabbaabbcabcabbbcaaacaaabababbacbcbbbabcacaabcccbacacbaabbcbabaccabbbbbacbbbcbcbcabbcabcbabccbbaabbcaacbaabacbbaaacacacacbbcbacbbbbcbcaaccaaabbbcacbbabaabaabbaabbbbababbabaaccbcbbaacabababbbcaacacbbabbabccbaabbabbcbaaabcabacaacacbcaabbcabbaaaacbcaaabbababcbaabbaababaabbababcacbbcbcabaccabbaaababcbacbabbbcaabbacbbacbbcbababbabbccababaccbbbaaababbbbbababbabaacabbcbcbbbacbacbcacaabbaabcbaacbcbabbbbcaabaabbcabbbbbbabababbbbabbbaccaabbabccaaaaacbbcabbcaababcaabbcccbbbbccbaacbbbbcbbababbbbcccacbbcbccabcabcccaaabacbbabbaccbcbcccaaaaabbaaabbcabcbbbababbaabcbbcacbcbbaacbcabbcbcabaabccbacccccbbaacccbbbbbaccaababcbabaabbbcbabbaaabbcccbbcbaccabcbcaacabaaccbabbcbccbabbaaacbabcbccabbaababcbabbbccaacacbaabaabaabaacbbbabbbaacbaabccaabbbaaccababaacbbaacbcbbabaaabbaccbcbcbacbaccbbbbabaacbccabbbacacabbbbbaaacbbbbabbabacacabbbbbaabcaacaabccabbaccbcbababbacbaacaacccbaaabcbbacbbabbbbbccacbbbacbabacaabaacacbbcabbbabacbabbbabbababbaccbacbbabaaaaacbbaacbaabbababbcbcbacccbabbabccbbacaabbaabbcccbcbbcacabbacabbbbcaabbbbcabbbbbcbaaabcbbcbbcbbccabacaccccbbccbccbacbbbababbbbcaacabbcaababbbaababcbacaaaabbcacabbbabbabaaabaabaacbaaacbcbbacccabaabbbbccbcacabaabbbbacabccabbabbccacbacaacaabbbbbbcabbbcccacccbbbcbbaabbbcbbcababbaaababaabbaccabbabbacaaabbaabbabbaaacaabaababaabcbabaccabccaacccbaaccccbbccbabbcbbbacbcaaabcbcbacabaacbaacbccabbacbbbbababbbbbbbcbbababcbbaabbcbcbbabcacbbbbcbcbbbacaacbbcacbbabcbaaabcbbbaccabccbbaabbaacccabcaacbbbcbabaababbbbaaaaabccabbbbbbccccacacbbbbbbcbacbbbcbbbcabbcabbaaabbbbabacbacbacacabacaacbbcbbacacccaabcabcccabacccbbbaccabaaabccacbccbababbbbaaaaaaabccabccabbbaabbabbaaacaaaacbababcaabcabbbbabaabbbbbabbbbcbacccbbbababbacaabbabababbbbaaacaaababcbbbaccbbccbbcbbccbbaaabababbbacbbacabcbaababcbaababbbbabbbabcabcabbabbacbaababbcaacabbcabbcbaaacbccababbbbcbaabbaabcaabbbcbaabbbacabbaabaccabacbbbbaccabbbabbbccccbbbbccabacccbabbaabbbbcabcacaabbbbcaacaabbcbabbabacabbabbbacbbbacbbcbbabaccbbabbcbbaacaabcaccaaabaabccbbaabacbccbcbbbbaabcaccaabccbbbbbcacabcaacaaaaaacbbbbcbaabcbbbaabcaaccbcabbbacbbbbaabbbcccacbbaabbacbbbbccccacbcbbbbbababbcbababcbbcbbbbcbbaabbcbbbbbabbccbbaacbbcbcbbaabaaccababbbbbcaaabacabbcbcbaacbacaaabaabacbabbacaaabbbaabbcabacbaaacbbbbbaabbbbabaaacbcaabbacaaacbbacabaabbccbbbaaabbbaabcbbaabccabbbcaababcaaaacabbaaabaabccaaaabbbbcaccbccbbcbcbacbcccaaaabcbabbcbbacbabacaaaabbbaacbbbcbabccbaaabccbaacbcaaabababacccbbcccbbabbbccbbcccbbabcbbbbbbbbacbbbbcaabccabaacbacbbbcaaaaacccabbcabcacbabbacbbbaaabbcbbbbbacacbbacabbbabacbccaabbbbbcccacabaccacccaabcaccaabbaabbbbbbabaabcbabbcbaccccacbccabbbbbabaabcacaccbabbababbacbbbcababbabcbbcbacbbbcbaabbabbcabbbbabaaabbabcbbbcbbbaabbbabbcaabbabbbaacbcbcbbbcbcbabaccbaacbbbbacaabbbcabcbcbbbbbbbcaccbbbabbbacaccbcabcaaaacbcbcaabacabbbaaabbbabbcbbccbbbbbabbbbbbacbbabbbaabaaaabbbcbbbbbcbbbaabbbbccccabbbaabbbabbaabcbbbaaacaccbbacbbcbcccccbccbacbabcbbbacabbbbababcaccacabaababbbcaaabbabcbaabbaaaabcabcbbbbbbbccccabacabbbbbaccccacbaacbabbbbcabbcbbbaabccabcabbccbbbaaabaacbbccbabcaabbabccaccbbbbbbaccbabaaccbcaabaaaacccbbabbbbbcabccbbbbcababacbbbcbcbccaacaccbcbcaaabaaccbbcbcbcbbbbbcbcacabababbcaacbbabbcabacbcabbabcbbcbcbcbcbacccbaabcbabaabacbabbaccbccbbbbbccbaccbbaaabbccaabbbbabbbbbbcbcbbbbbabbabbabcaaabbbbbbcaaabbabbbcacbaaccbaabcbacbbcbacbaabbbbbbbcacbbcbbcbbcbbcbbaabcabbccbabbcbbcccababbbbabbbbcaaccbbbbcbbcabcbbbabbbbcacacaabbabbbbbbabacccababbbccbbcabcaccaabaaaaaabbbbaabbbaabbbabbbbaaccabbabbabbaabcabbbaaacabbaaaccbbbccabbbcabaaabcccbbbbabbbbabbabcccbcabbabcbcbaabccbbbaabbbbccabbbabbbacbabcccbcccabbbbbabacbbcaabcababcbbbabbbbbbcbbaccabbbaaabacaabaabbbaabbbbcaacacaababcbbbcbaabaabbbbaabcabbaabababbbaaaabaacacacabcaacccbcbbaaabbaacaacaabcabcbacaaabbaaccabbacababbcbbcbbcabccacbcbbcbbaaccccabbacabccabaaabbbacacbbaaabbbabbbbacbbaabbabbcbbbbaccabbbbabbbcbacbbcbccaababbababccaacbbcacbbbbcaccaccaaaaabaacbbcabbcaabbabbbabbaaabcbcbcababccaabbbaabbbbabbbaaabbbaccabbbabababcccbbbbbcbaaaccaccaaaaababcacbabbbbcabbaaabcbccbbaabcbccbaabbbaabacbcaaabaabbcababbabcbccbabcbabccbaacacabbbbacbcbaabaacaabababcbaaaaabbcbabcabcbbababbaccbbcbabcabaabbaacabaaacbabcbacabbccaaaccbbbbabbbbaaabbabbbbbcbbbbaaccbcbbbbacbbcbbbbcbabcbbbababcbabbacaabbabbcabaabbbbbcbccbcaabcabababbaccbbcacbacababbabcbcbbcbaabbbbcabaacabcbbcababbbacbbbaacbccbcccbcacbbbaabaabbbbbcaaacababcbcbbbaacacaccabbbbaabcbbaabbcbababcbbacaabbbbcbccabaccbaabcabbabaabbbbabbcacbbbcbcbabbbbaaaabbaabaabaabacabcacacacbcaaaccbaaabcbcaabaaccbbbaacccaccbbabbbcaaccbbbbbbbbbbccbacbbcaaccbacaaacacabaaabbabababbacbbbbaaaccbcbbcaabbcaaaacbabacbcbbacbbbbbbbbbccbcababbcaccaccabbcabbabbaacbababcacbaaaabbbabbababbabcbabaaaaccacacababacaabbbabbbbbcbbacaccbabbacbcbcaababcaabcccacbaabcaccbcbabbaaacbbbbbabcbcbababcabccabbcababbbbbbbbbbbbbbaabbbcbaaabaabcabbcbccbcbabccbbccbcbcaabbcaccbabbaabbcbbabbbbbbbbbbaacaabaabbababbbabbbaabbbababbccabcbbacaaaabccbcaabccbbabcbababaabcbaacbacbcaaabcbbcbaacbbccbbbabcbacaacccacabbbccaccbaabbcabbabaaabbcccacbbcabaacccababcabcbbcbbcccbbbbbbbacaacbcbbacacbbaabcbabbbbcbacacaaabbcbabaaaabcbbcbcbbcabbaabbbabababbaabbcbbbcbbacbbcbbbaccaabaaaabacbbcabaabababccabaabacbaaabbacbbbccacbbbccccabababbacbbbbbaccbbacacaabccbbbbcbbcabbabbbbbbaabbcbaacbababcbaaaabaacbcbccababbabaccbcbaabbaabcaacbaabbbaaabaabaacacabbcccbbabbabaaaabcbabbabbbbabbabaaabbabbaaaabbbaacbabbbacbcbbacbcbccaaaccabbababacbaaaaacaabbccbcaabcababacbabbbbabaabcbabccbabaccbbbbbaacbccabcbbaccabababacbaaabbbabbbacbaccabbacabbcbbaaababaabbcbcbcbababbbbbabacbbcbcacbabbcbabbacbbbbbabcbbbbbacbcacccaaacaaacbbabbaabcbcabaacbbabbbacbaccbbbbbbbccacabbcbbbbbaacbaabacaabbcbababbcbcacabbacbbbbbabababcabaabacacacaccbacacacbbcbbabbbbbbbcbccbbbcacbbaccabacbbcbbbacccbacbbabbccabbaacbbaaaabbbcabbbbbaacbbabbbaaabbbcbbbaabbacaabbcbbacbbcbbacbabbbacabacabcbaabaccbbbbcbbcbcbbaabbbcabbaacaaabcabacbbcababaacaabbbbabcbcababaccbaacccaacccbabcbbbaabbbbbbbcacbcbaacaabacbabcacaabaccaabcbbbcbccbacacbabbababbbcacacbbccabaabccaaaacbbcacbbcbcbabbabcabaccbaaaabaabababbbaaaacbaaaccaacbcabbbbaabcaababbcbcbaccabaaabbcbbbabaacaaaaccaacbaabacaaaaababaabbabaabbcacbcaaacbaaccbbbbaaacbbabaabcacbbaacacbcaccabacbbcacabaabbbbabbabbbcaaaccabaabbcbccacccbbbbaabbccbcbbbaacaccaabcaaacaaaaabbbcbcaabacbbbabaabaacbabaaacaacbcaaacaacaacbabaccabbccaaccaacbcbabcbaacaabbcabacbcaabcbbbbcbcbbaaacbbccbabcaabbcbbcbaaaabbbaccbabacbcbbabbbbabbbbcbbccbcbbccbcacbcaaabbbabaaccacbbbbaabaccabccbaacbabcbbbccbcbcbabacbcbbcbbbabbbaabcbcbccbcbbbabbaabbaaaababcccbcbbabcbaacabbcaabbabbbaababbaccbbbbbbbabbabbbabbbbccbbababcbcbaabcbccaaabcbabbbbbbcabcbbbbcccbacaacacbbcbababababbabababbcacaaaccaabacbbabbbbacabbacacbacbcabccbcccbbbbabaccaaabbabbccabacbbbacaacabcaaaacaaabbbbbbabbbabbaacacbbbbbbbababbbbbcbbcbccabbaabbababbbbbbabbbbcccbbcbaaacbabbacbbcccabbaabbbacabbabbaabccacabaaaaaabacbabcaabbbabbbabcacbababbccccabcacaacbabbaabccbabaabcbabbcaacbbbaabcbbbbbbacbcaaacaacacbbcabcaacababaabbaabcacaacbabcaaaabacabcbbcbbabbcacbaaabaabbacabbbbbaaabbbaabcbbbabccbacbbbbbabaaabcbacababaccaabbaaccbabbaaabcacaabbabbbccaaaababaacbbbcbbcaacbbbbbcbabcbbaabacbccbcabccbababbcbcbcbcabaaacbbacbbaaccccacaaacaccbcbbbcaaabbbbbcbbabbccaabacbbbbacbacbbbbbcccbbcabcbbbcabbcaccaacbacaaaaabbaaaccabbbabbbcbbaabbcaaaaccaaabaaabcabbaaacbcbabaababaabbbabcaacbbcccabbababbbbccbccbcbbbcaaabbbcacbbbccbbbbabbaccbccbbabcabcccaaaacbcaabbbaababcaaaabbbabaabcbaccacbbbbacabbcabcbcccbbaabacbaccccbbccabbccbbbaabaaabbbbbcbcbbbbbbabcababababcbcaaccbacbbabbbbaacaabcacaccababbbabcbabbcbccbaabbabbbbcacbaaabaaaaabcabbbabbbabbcbaabcabcacbcbcacabcbccbacbabbabcbaaccbbbbbabbbcbbbcbccababaabbbbbbbaccbbaabbbabbccaabcccbacaabbababcbbcabaaacbbbcbcbbbbaababbbbbababcbabacabbbbbbbcaabbcbbbbbababbaabccbbbbcbbabacbcbbccbcbacbcababbbabbabacabbababaccbcaacabcbbbaccbcbacbacbcacbaacccbabccabbabaabcaaccccbbbaacbcababbbabacbabbbcabbacccccbbbaccbccccaaababbbbbacbbbabacabcababacabbbbcbbbcabcacacababccbabaaacbcababcbcaabbbbbcabcbacbbbabbaaabacbbaaaababacbababcbbcacaacbbbcbacabbcccacacabcbbbabbbabaabbcbabacbcbabccbacabcbbccabbacbcbcbbbbccbaabcccbabcacbccbbaacacbaaaabbbaacaababbabcbbbabbbcabbabacbacaabcbcabababacbbbabbbbcacbaaacbbcaacabacccacaccaabbabcbcbccacbabcbcbabbbabbaccabbbbcbbbcbaccbbbcacaaabaaacaaacccacaabcabababaabbbaabbabbababaacbacccbcbcacabbbabccbcacbbabcaacabbaabbcbabacbaaaabacbccbccccaabacacbbaacaacbcccaabbaabbccaaabccabbbcbbbbcccbbaabbabbcbbccbbbbacacbbcabaabbabbaaaabaabbbbbacaaccabbbbbcbbcbaccbabbaaaccacabbcaabcbcacaaaabacbccbabcbbbaabbaababaaaacabcbbbbcbcbabbbcaacacbccaccbbcbaaabbcbbababbbccbacbbaaabaaaaabcaabcaacbbabbccbbcababbcbccbabbbacacbcabbacbbcbbbcacbbbcccabcccbbcbbcbccaabbbbabbbacaccccababbaababaababaaaabcaaccbbbcccbbaabcbacaabaaaabababccbacacacbacbaaacbbcbabbcabbbacabcbaacbbccbbccaaacbbcbcbabccaccbcbbabbaababbabbbaaabbacccbbabcabbcbbbabaacabbacbbbbabbcaaacbaaccccacabcacaabacaaacbabcccabbbbbcbbbbaabbbbcbbbabcacbaabababbbcbbbcacbbabababbbabbabbacaccabccabbbbcabacacbbbcaaacbbacbaabbbccbacbbabcccaaabcbbcbcbcaaaabbbbbbacbaabacabacbaacbbcabbbbacacbaabaaaccbbabbcaaccacababbbbbbbbbbbbbcbbccbcbcbcabacabbbabcacabbaaccbabbcaaabbcacbcccaaaacaabbbccbbaaabbaabacbabaaabccabaaabbabcbbbabacacacbbcabacbaabbcabbbcaabbbbbaacbccbabbbbbbbabcaababacccbababbaccbbbababbbcbaacaaacbbccaabaaabaabcbbcbbabbbbbbbbcbaacacbcbacbaabacbcbbbbbccccabbaaabababaacbbbbaacccabbcbbcbcababaaaabccbcbbbbabcababbbbccbaccabccabbbcbcabbbbcbbcabbacbacabbbbbaacbabcbbbaabbbaccbbbbcbbbabccbbcbabbabbcacbbccbbcaabbbbaacbbcbccbacaaababbbbccbbabaccbbbbbcbaccabbbbcccabaabaacbbbbcbbabbbbbabbbccabcaaabbbcbcbababbbbabbcbbbbbcbbacbaaabacacbcccbbbbcccaabaccbaabaacaacbbbabcbbbcbabbbacacabbbcbbbacccabbbbcccbbaabbaabaababcccccaaaabacbaacbaabaccaacbaaaabcbabbbbaabaabbaababcaababcacccacabcbabbabbbaaabbabcbabbcbbcaabbaccbbccbaaabacbcbaacbbbacabcbacbcbaaabbaaabaccabbababbbbabbbbaaccacbabababbcccabbbbaaccbaacaccaacbababbaaaccbbcaaabbbaaccbaaacbbbbbcaccbabcacabacabbbababcabbacbbcbacaccaccbcbababcbcababbccbabaccbbbbababaacbbcccacabaacabacccbcbbabaababbbabaccbbcbbabbaaaacbaabacbcaabbbbbccbbbaacbbbbbbabcabbabbbbcbccaabacaacbbcccccbcababaaaabacabbaaccaaaccbbbcabaaabbaababcbaaaabacbbbbcabbcbbacbccaacbcbbbbccbbccbbbcccbbbbabbccbbccabcacabaabbcbacaababcabbacababaabaccbcbaaaababcacbbbababbabbcabaaacbbbcabbcccbacabcabbcaaabbbbcabbaacbbccabaababbbbabbbbcaabbbbabbabbbcaaacabaabbaaababcbbbabaabacabbaacbcaaaccbacabcaaccbabcacbcccacbbbbbbcaabbcccbbacbbcabcabbccaaacbbbbababbbaabcabbcaabbccaccbccaabacbabacabbbbcbcaacacbbcabbbbcbacaaabcabbbbbbbbbabcbbacaabbcabccbbcbbbcababcacacabaaabacbcabbbaaabcacbbacaabbababaccbbcabbaabbbcbbacabcabbaabcbbbcbcaaacbccccacacaacbbccbbccacabaacaababcbabbccbbbcccabbbcbcbababacbcbaababababaaabacacacabbacbbbbbbbccbcabbbccabbbcbbbacaaabaabbcbbacabaababccbbcaccbcbacabcaabbcbbcbbbcbabbabbabbbcbabbbbbabaabaaacbbbababaabacaabbacbbbbcbaaaaababcbbbabbbabccbaccacabbbbbbbcbaacbcabbbaabcacabbbaacbbaaabbabaabacabbcabccccaababcccbcaccbbabbacbaabbccacbbbaccbaccbabcbccabbbaababcaabbbbbbbbcccbbcbbbabcabcbabbbacbaaabcaacbcbabaccabccacacaababbccbcacbababbaaacbbcbcbbccbbaabbbbbcbaabcbaccbbbccbcbbcbaaabbbabacabbbbcbbcbbbacabcbaaccbbabccbcbbcbbbcbbacacbcbcbcaaababcaccacbccbbcbabbabbbbababbbbbbcbcbacbcbaabaacaabbbcbbabbcbbccaabcbbaabcccbcbaaacaabcbbacbaacbbabbbbbbbccbbbbabcacabbbbbbccaacbabbaabcbabbbbaaacbbbaabaaabbbaabbbcaabacbbbaaabcaaaaccbbbcaacbbacbaacbccabaaabbbababccbcbaacbabcbbbababbbbaabaacbbabcabbabcbcbcbbbbcaaabcacabbbbacbccbcbccaacbababbbcbbaabbbbcabacaaabbabaabacbcbbbabbbbbabbbccabbaabbbbccbcaacbbbbcbbcabbcabcbccbbaaaabcbaaacaabbcbaaaabbcaaabbbabaaacaabaaccbabbcabcbbbbbabccbbbbacabcbbaccbbcbcacbbcbaacaacaaacccbcbbbcbababababcbaabbaaabcccbccabbccaabacabbbbcccaccbcbaaabaccabbabbabaacabbacbabcabbacbccbcbbbacbaccaabcaabbabcbccbcbbbbcacbaabbcbcbcaabcbbcabbacaacbcaaacababbcbcbbcabaacbccaacbbbbacabbcbbcbbaababbccccbcbbbbcbbabaababccbabccabbbabaabbbccccabcbcacbbabbbacaaacbacbaccbbccaccccaabaabbaccacbaaccbbcbacbbbbcaaacccbbbbabbbabbacbabcbcacabcbbacbcacbaabbcbcbbabcbacaacaacaabcbcbcaabcbcbbccaabbaaabaabcaababbaacaabaccbacbccbbcaacababcbbccacbabbccbbacacacaaabbbbbaaacbcbcbccbbcaccaacccababccccbbcbbbabbabcacbacabbcbccbbbaacabcabbbacbbbaccabbcabcbacabbabcaababcbacaabbabaababbcacacccbcbcaaabbbabbaaabbaacacaaaccccbbabbbabaccbbabbabbbcbaaaaabbaabcbaacbbbbbbcbbbbbcbaccbacbbbcabacbcbbbcbbbbabbbaacabcaccbacbbbacbcbaacbaabcbbbbaaccccacbcaaabababcbbabcccbabbbbbbaabaaabbbcccbbaaacaaaaacbbacbaacbcabcbbaccababbcabaaacabcbcacbbaabbbbbbcccbcbabbbacbacbbbbcabbcaababacabbbcacaabcacbbbbbbcbacbabbbbbabbbbaaaacbbcaacbaaabbbacbabbacbbababbaaacbbbbaacacabccabacacbcbabcbababaaccbaaacbcbabacbbabbaccabbbbbcccacabbbaabaabacabbbbabbbbbabbbcbbbbbcbcccbbcabacbacbbbbcbaaaacbbccbbbcbcbbccbbbaabbbcacabcbbacbacabccbbcbabbbabbcaacbbaaccbbabbbabcbbbabcabcabacccbcbaabaaaaabbbbbaabaabcbcabbacaabcbaabacbcbcabacaabbbababaacaabcccbcbabcaaabcbbbcbaccaaaabbabcabaacabbaaabaaaaccbbbaaccbbaaacabbbbcbbaccccabababbccaccaccbccbaccbacbbacaabbcbbbcccabbcacbbbcbcacbbbaabaccacaaabbccaaaabcbbabcabbacbbcacccbcbbacabbbbcbbbbbcbccaabcbbcababcabbabcaccaaabbcabbaacababcabbcbabcbbbcbbbabccbbcbacbbcaacacababbcccaacbabbcabcaacabbabbabbbbacbcabcbbcbbaabbcbbaaacbbbbcacbabaabbbbccbcccbabcccbbacabaccbccbcbaacaabbbbaacbbabbbbbbbaacbbcaabcabacacacbbbaababbbbbcbaaaababaabbccbacbccaccbbabbbbcccccbaababbbbbcbbbccbbcabcbbcbbbcbbabbbbbccbbaaababbbabaabcbbbcbbacaacccbbbbbbbaaaabaacbccabccabccabbbbcbbcabbbbcbbcbabacaacbcacbacaababbbcacbbaabccaacbbbbcccacabacabbbcacbcbbbbccbbbbbbbababcaababababcccccaabbbbbbcabacbbcacbbbaaccbacbbcbcaaccababbbacaacabbbbccabaccaaabbbcacccacccbbbbacbabbbabbabcbbaababbbcacaaabbbabbbcbaacbbacbaabaabbbaabccccbbcacbacaabcaaacabcbbabaaccbabcbacbaabbbacccaacaaaabcabcccabbccabbcbbbababbbbbcbaccaccababbcabcacacabababbbcaabcabbbbbbbabbccaababbababcccccacccaaaacbbabbbbbccbacbcacbbcbbbbcbbcabbacbabcabccbaabbaaaccabbbccbbaacabbbbbcccbcbbcbcbaacbaaacbbabcbccccabcbbababaaaacabbabbcccacaacbabcbabcbcbbabbccaaabbacabcabbbcbbbbcaabcabbacbaabacbaabbbbacccbaabcbbaccbbacbcccbbbaaaacbbbbccaaaabcaaabbbccabbabcaccbbbababbbabcbababcaabcaabbcbcbbaabcbbbbbaccabbbabbbaacbacbaabbbbccbbaabbbbbbaaabcabccabbcbbabcababbabaabacbacbbaababacabaaaabbcbbbabbaabcababbaabcbbaaababbbcbabbaaababbbaabaabaabaacbbcabcaabaaabaaacacacbbccaabbbbbabaabbbbabcacbcacbaabaaaacbababbacbcbbbbbcaabacbbcabccbabbccbcbacabcbbbcbabbbaabbccbababcbcbaaacacbbbabcbbcbcccbcbbaaaccaaabbaabaacbbbbabbbbbbabbabcbbcaacacabcbaabcbbbcbbcbcbcbaccaaccbbbabcbbbabbbcbcacbabcacbccacbcaabababbacaaabcbacbbabcacbbaaabaaabccbacbabbabcbbcacacbaaccbabbababbcabaababbbaaaacbccacbbbaabbabbabaabbbcabcccabbacccbacbcaccaaacaabbaaabcbaaaaaacaccbbbbbaaacbcbaabbbcbaaacbbaabbacbabbbacbcabbacccbabbbbbaccbcaacabaaabbbacbbaaabacbbcccacaaaabbbcabbbcbbbcccbcabbacbbabbabcbbbbccbacabbbaacbbaaababcaabcabcccccbbbaaacbabccbbccbbabbbbbbccbabbbbbbbabbbccaabbbccbaacbbbbaabaabbaabcbabcbabbaabcaabbababbbbacabbccabbbbbbaabaabacbbbbabaaacbcbabbccaacbccccccbbbbbbbabbbcacabbaacbcbcbbcbbcbaabccbaaacbcabbbcbcbcbacbcbbbbaaaacabbbbbcbcbbbcabbbcbabbabcbbabbbcbabaacccbababbabccabaabcacaaacbaaaacaccbaaabccabcccacacbbcaaabcbaaabcbbabcabaaabbaabbabababbaacbbacbcbcacbcbaaccbbababbabbccbccbcccbbcabbabbbaaabbbcabbaabcbabcbababaabacccbbbaaabcabacbcabcabcaabbbbbaabacbbcbaaabbacabacabbbbcbabbbbcbcbbbbbbaabbbbcaabcaabcbcabbacbbbbaabbbcccabbbbabaaccacccacbabbababcabbcaabcccbcabbabbcacabbbaaabbaabcbcabbccacbaaaaccabcccaaabbcbcabacabbbbbbaccccccaabbccaabbcabaacabcacbabcbabaaccbbbcaacbcaabbbbbababacabaacabaabcbbaccacbcbaabbaababbbabbbabbcabaabbbcbcabbcabaccbbcacbaaacbbaacaababbaaabccacabcbbcabbccbacaccbccabccbaaaabababacabbabacccbabcbabacaaccbbaacaacacaabaabbbbacbccacbbcbcabaccabbaaacabbbbbbbcbabbcabaaabcaacbcbabccbbbaacacbabcaaccbbbbbabcabbcbbcaaaccbcbcbbabcacbcbaabbccbccbcbaacbbaabaabccaabbcbbbaccbaabbbbbbbacaacaababccaacbbbbacabbccabaccbbbbabbbabbccbbcaccbcbbcbccabbbcaabccaacabbcbacbcbaabbabaabbabccabbcbabacbabbccbabababaaccbccacbccabbbbbbcbabbabcabaacbbbabbacbaacbbbacbbbcaaabbaaabbbabaacbcccbbbbaacbabaacbbababacbaababbbabaccaaccacbaababacaaabcbbabcaabaabccbcacbacabcaabaababbcccbababbcaabbabbcaabbbcababbaabbabcbbbacabaabbbbbacabbbaacabababbcccbcacbcabbaccacbcbbbbcabaabcbbabcccbabbabcbcbbccabbbbcbabbbbbabcabcaacacbcbbaacbbbabccbaabccaaccbabbcabccaaabcabccbabbbcaabcacbbabbbaaaacabbabaaaabbacbabaaaacccabaaabcbbcbaabbbabbcbabbabcbbbcacbbabcccbbaaccbaabaabbcbbabcccaaaabacacbbcbbcacbabacbbcabbcbacababaabbbaaabbcbbcbbacaaabacbcbbccbbcbbbbabacbbaccbacbbbaaabbbbcabbacbcbcccacbbacbcabbbbaaccccbcabcbbbcbaaacaabcbacccababbabbbbcabbbabacacbbcbcbcbbabbaaaababbbbbbbbbbbbbabaabaacbcbbabbababccabbabbaaaabbbbaabababcbccbacbacbabaacbbaabaababcbcbabcabbabbaaacbabcccacbbbbbaabbbcbbbbaaacbcbccaaabacbcbbababcacbccacbbabaccbcbabbcbaaabbccbabccbbacabbbbacaabbbbbaaaacababbbbbbacbaaabbbaaaaaacbbaabbabcbcabcbcbabacaaccbababbcbbaaabbcacabcbbacbabcbaabcbaccbacbabccbcabacbbbaabacbbccaababbcbabcbcbbccaaaaacbaabbbbcbcbacccaabaacbaaccbabbabbbabbbabbababbabbbbaacbbbaaccababccacabbacccccbbbcabbccacbabccaacaabcacbbbbabbacacaaabbbaaabbccbcaabaabbbbabbaaabbaaaacbcacaacbaccbccbacababaaacabccbbcacacbcbbcaacbccabcabbaaaabbcccbacaccbbcbacabbabacbaabbabbcaaacabcbcacacbbabaabbaabbbcbcbbbcbbcccaaabbbbcbabbbbcccaabbcbbbcbbabbacacaaabaaaaabcbbcbaabababcabbbacabbcbbbcaccabbbbbbbcabcacabbcabbbaccabbbababcccaababcaaabbbbabcbbaaccaaaababbbacbcbbbbbcbbaaababbaaabacaccbcacabbacbbaabbbbbbcabcabbbacbbabbacbabbaabcabbbcbccbbcaabbabbbbbbbaacbccbaabcbaaaacbbcabcababaaabcabbccccbabcbabbbcbccbcbbabaabcaaaaccbabbbaaababcbbcbabbacbbaaaacbcababbbcbabbabbaaabcccabbbbabbabcbaaabaccabbaabcbbacbcbbbaabbabbabbbbabbaaaaabbacababcaabcacbabaccabbabbbacaaaacccacbaacabbaabcbabbbcabacbbcabbabbbbacbcabcaaabbccbbcabbbbcaccabbabaaaacccbabbccbcaaabbabbaacacaababbcaaaaacbbbacbacacaacbacbaabbbbbabbcccbcaccbbabacbbbcbcbbcbabacbabaccbaaabbbabbccacbcbbbabaacbabccaababbabcabbaabcbbbccbacbaabbaaaacbbacbaaaaccacbcccbbcccabbbaaabcbaacaaabaaabbcabbabccbababacbacbbbbabbcccabbaccabbbbbbbbcbcbcaabbcbbbabbbaaccaacacbcabbabaacccaccbaaabbaabababcaabbcbbbabbaaacbaababcabaccbcaccbbaaaaabbabbcbbbbababacbbbcccccabbaababcbabbbbabbcaccabcbcaccbabbcccbbabaababcabaabcbbaaaababababbbbbbacabccbbcbacbcbabacbbaaacabbccbcbbacbabaaaabbcbcacbaabbaabbaaacbcaabcbabaabacccabbaabbcccabbabaccbbbcbcacacabbaccbabbbbabbabbbcaccabacabbabbbbccbabbccaaccbbbbbaabbcbbcbaabacbabaacbcaabaccaaabbcbbcbabbbbaaaabcbbbacbbabbbbabcabcbacccbbabbbccbbbaabbbbbacabbbbbabcbcbbbcbabbcbabaabccbbbcaacabbabbccccbbaaaaacaabbcbcbccbbbbbbbcaaaabbaaabaccaabbbbbabccbcbbbcbccacaacabbabaabcaccaaabbcbbbbcbabacccbbabaccabcaaababbcabbccaaacccabcacbcbaacccbabbbbbabbcaabacbbbbccabaaaabbaababbbbbacccbbbcbaabcbbbababcbbcabcbaacacabcbacbaaacbbcacbcababcbcbcababaabcacbaabcbcbacbbacbcbababcbbaabaaacccbabcbabaababcbbbbaacabaaabbbaccabaabacbcababaaabababbbabacbaabbabbababbbcacbabaacaabbabbabbbabaabababbcabbbbcbbabbcccbbbcbbbabcbcaaccbbbbbaacacbbcbbaabcbaabaacaacbabbaababccacbbbabccbbbaabbbcabaabbbabbcaabbcbbcabbbacbcbbcabcacbbbbbbbbbcabbababcbcbcbcbbaaabcbbacbbaaaaaccbabacaabccbccaacbccbaabbbbabcbacbabaccbccbacaaacbcabbbbcacbacababbbbcbcbbabbabbaaacbcbbbabbccccaababbbabaacbacbcbccaabaaaaabbbbbcaaaaccacabbcabcabbaacbabaccbcacbbbbaacbacababccbbbbbbccbccbbaaabbbaaccbcbbaacccaacabbbcabbccbcbccacbacbaabbbbccaaaabbcbbacbbbbbcbcaaababbacbabbaacbbacbbcbbaabbbaabaccacbbcbbbaaccaabbbbbbabcbbbbbabbbcabaababbaabbbabcbabbbbccabacbbbbbcbaaaccaabaacbbabcbaaabbbbaabbababbbbbbbbbaacaaaccabccbcbababaccbbbbabcabbbcbcabbbbaabbcababbaabbbabaccbbacabbccbaccaaabacbbcbaababacaababaacbbcabbbcbabbbcabaacccccbbbacaabbabaccbbbccbababaaabbcccbcabbbbcabbabbccacabcaabbaaaacabcacbbbcbaccabbcccbaabccbcbbabaabccbacbbbbababcbcaaaccabcbbcbababcabbbbabbbabbcaabcaccbbbbaababaababacaaabbaabcabacaaacbabbcaacccbcbbaccacccbbcacbcbcacaabcbbabaabccbbbaacbbbaabcaaabccababcaabacababbbbcbabaabbabbbabcbcaabcabcabccaabbacbbbbcbbccbacccababbcbcbcbbcabacabbaabcbaacbcaaaabcabbabaaccbbacaccaaabbcaababbcbbbbccbbababcbcabbacbccacbbbbabcbbabbcbababacabbbabcababbabbacbaaccbcbbcbacabbbbabbbabbccbcbbacbabbabababbbaaabbacbbcbbbabcbcbaabbbaacbbacaaaabababcbabbbcbbbacabcbababbbbcbabacbcbcabaabacacabacbbbbcbbababbcccaccacabbabbacbbccabaacbaaabbbbabbcabcacaacaabbabaaaababcbcbcabaaaabbabccbaabccabbabbbaabaabcaccabacbabacbbccbbaabaabcbbbabbbbcacbcbcaabbbbaabccacaacbbbcbaabaacabcbbbbabaacacbcbabbcbcabbaaacbbbabbcbbbcaaabbccabaabacbcabcbcbbbcbaaacaabbbcabbcccbbbbaaabbbbbabcbbaabcccbbbccbcbaacbbcbacbbccbbbbbabaaabccbbccccbcbbaabccccbacaaabacbbcbabababababbbbccbbcbbaccbbacabacbcbbaabbacaccacaccccacbbabababacabbbbcbcbbccbbbbbaccccbbbabaccbaabbbbbaabababccbcccbcbbcccababbccacabbacbccacbaaabcbaacbabbbaabbabcacccabaacabbbbaaccaabcbbbabaabcbababacbccbcbabacbbcbabcacacaabcaccaaabccabaaacbbaacbbabcbbabcbccbcabbbaaccaaccabbbbaabcabbbbcaacacbbbaccbbaacbacbacbccbbaaabcbccbbaaababcabbabacacacbcbcbbaabbbbaacbbbbbbccbbaabccabaaaabacbbbcbabcabbbcaacabbabbbabcbbbaabbccabbbacbbcbbaabcacbaabcabccbbcbbbbcbbcbcbabaabbbbccbcabaccccacbcbaacbcbaccbbaccbbbbcbcabbbaaaabbbccacabccccbaaaccbaaaccababacbcbbbacbccbccccabaabbbabbcacbaaabaabbaabbcbacbabbaaaacbbababbabaaaaababbbbacabaacbbbacbaaaabbabbcbaacacabaaabbcaacababaaacbbabbcbaababcbcacaaacbbaabcbaccccbbbbabcabbabcaababbacbbccbcaabbaabcacbbcaccbcaabbcbcbbbabbabbaaabcbacbaaabbbccabcbbbcacabbabbbabbcabacbaacabcaccabbaacbcbcaabcbbcabacbbbaabbccbbbccbbcbcaaccbaaabbcaabbacacbabaaacacaaaabbbabacabbbbcbbbabbccbbcaabbaacbbaacaabcbccbabaacabbaacbccbbcbbbbabaaaabbacabbcacbacbabcbacabcacacccaabcbbcbbcbcbacbabbaabbccbbcbabcbccacbabacbbccbacccbbabbbcbbccbbaaabbbbccbbbbaababbcabbcabbbbccacbccccbcbbacaacaaccbabbcaccbabbbbcbbacbbbbcbbbbcabbcbbbacaabbcbababbaacabbabbccbbacbbaabbbcacbbbbbbbbbabbaabbbbababaacccabbabaaabcabcbcabbbccbabbbaccbbcacaabcbbcabccaaccbbbbacacbcabbbbcacccbcaaabcabacbbbcbacbbcaccabbabbaabccbbcacaaaabbcbaacaaabbbaabbbbabcbbbbbbbacaacaabbbacaabbcccccbababcabbcbababbabcbbacbbababbabaacbbbabbccabbbaacabcacaabbbccaabcbcabbcbbacbbaabbbccaabbabcbbbcbbbabbcacacaacbbbbaaaabbabbbaabcbbbccbbbcbabcabbbbbbcabbaabbcbabbabbbcbaaabcabcababbcbabcbcaaabbbbcabbabaabccabbaacbbacbbcbccbbbacbcacbcaaaaccacccacbaabcbcbbbbcabaacbbbaababaccabacbcbcabcbababbacbbaacbabbaccabcbbabbcacabaaabacbaabbbbcabcbacacbabcaabccbbabbbbbaacabbbbbbabbbaaccababbcbabbcabbcbbbabcacbacabaccbbaaacacbbbaaacbbbaacbcbccabbcbbcbcabacbbabbcbcaacaacabaaaabcbcaccabbaacbcbbaabbaaaabaaacbcababbbbbbacabbbbbacbcbacbbbbbccbaaababbbcaabbbbcaaccbacaacaacabbacaacacbcabbaccacccaabaaabbbbabaabaabaccabaaabaaabcacbbacabbabaaacccbabbbaccbbabcbbaaabcbbaccabbbcbaaaabbbbabcaabbbcabbbccbabbcbabccabcbacbccbcaabbbbbabbbcbbaaabcbacbbcbabbcacababccbbccbabbaaaaccaacbacbcccabbcbbbccaacbbababacbccbcbabbcbbbcabbaccbbabbaccccbabaabbabbcbbbaacabccbcbbbbbabbbbaccbababaabbaabbbabbbbaacbabbbbabccacbaacbbabbaacaaababbaabbaabaacbcaaaaccaabbabcbbcbabaaabaacacbabcaaababcabcaacbcbbabbbbabbbaabbccabcbcbabcbccbbaabaacbacacccbbbabbcbaacacccbcaacbbcbbbbcbbbaacbbabcbccbcbabbbaaaccbaabcababcbbbcabbaaacbacbbbbbabbabacaaaabbabbaacabaaabbccbabbbbccbbbccbacbbbcbbbababbbbbcaabcaaabbbbaaaabbaaabbabcabbcbbcccabbbabccbbabcabacaabcbbabbbababaccabcabababbabaccabbcbababbbbacabacabbbbbabbacabaabccaaabacabbbbaaabbbbabcbbbccbbcbabbccabbabbbbcbbbacacccabababbaaababbacbabcababbbbaccabababbabcbababababaabaaccbccbcbababbabbaaababccbbbaccabbaabcbbbcbbabacccbabaabcacbbbcaaaccaabaabbbaabaabbbabcaacbccbbabbaabbbabcbbaaababcbbaaaabcacaabbbabaabaababbbbbcaccababbbcbbcaccaabcbbcaaabbababcabcbaabbbababbacabbbbacabbabcbacacabbabcbbaaacaabcababbbbbaabbcbbbccabbaaabccbbcacbaaabcbabacabcbbbababbcbaababcabbcabcabcacbababbaaccbbababaabaaaabbaabaccbbcabacbbbabbcaccbacabbbbaacabccccbabbabbbbbaabcababaabcacccbcbcbaabcbbaaababbbbbccbcbbbbbacacaababbaaababbabcaaabbcbaaaabaabacaaabbaacccbbabbcbbbbbccbbbbbababaabbaaaaabacbbacbbcbabcbabbbcbaccaaacabcacabbccbbbbbcbabccaaabbbababbaaabaaabccbbcabbabababbaabbbcaabcbbacaacacbccccabaccabbbbbaaaabbcbaacabbcabaaabccaaabbbabbcbccabcabbaacbbcaacbbaababababbcccbcaababbbacbbbabcaaacababbbcbbcaabbabcaaabbaacbacacbacabccbabbcaabbabbbabacaccbcacabbabbbacbccbbaccabaabbbbccccbabcbcbaccbccbaaaabbcbcbbabcaacaabbacbbccabbbbbbbbbbccaabbabcbaaccacccbbcabaaccabacbabcbabbabbbcabcacabbbccabcbaaaaabbbababbbacbbcaabbaaaacbacbaabbcbabaaaababcacaababbabacbbbbbbcbbbbabbbcabacbacbaccbcbaccbbabcbcbbaaaacbbcaacbabcbbbacaabaabbbbabaacaabccbcabbbabbaaaccabacabccbccabbcbabcbabbabbcccbbcbbbcabbcacababbbbabcaaabaccbacababaccababbbbabcbabbaacbbcbbcabbaabbabbbacbbbccabcbabcbaabbaacbbcabccacbbcaaaabccacaaccbccbabababaaccbacaaaabbabaacbbbbcbbbacaababbbbbaabbcbbbcacbcaabbcabbbbbabbcaabacbbbacabbaaabbcbbaacccababaabaaacabbbacabbcbabbbcbbacababbabbabacabbcbccbbacacabcacbaabbbcbbcaabcbbbabbabacabcbbbcaacabbbbbbacacbbbabaabcbbbbbcaaabbbaccbaaaabcbccbcbbabacbbbbbaccbcbababcacabcabbcabbabbbaabcbbbabbbbbbabbaabcbacabcbbbacccacbabcabbaaabbaacbaccabbaacbbabbbbacacbbbbbbcabbabccbbcabbbacaabababbcbacbcbaacbbabcbbbbbacaccbbcaccaacacccaaabbbcbbcbbbbaacacbbcaacbbcabaabbaabbcbabcbccababcbcacaccaaccabacaccbbcccbbbbabbbbaacbcbbcacbaaacbaccababcbbaaacaaaacbbbbccabcbacaaccbbbabcbababaabcbbbabbacbbabaaaabbcbabcbacaabbbacbbbcabbbbcbbabbcbacccbbacaacbcbcaaabbbcbcabbbbcacacbcbaacabbabbbccbbbbabbccbcbacacccababacbcbbababcaccabccbcccabaaabbbcabbaabaabbbbbccabbbbcabaccacabcaacaaccbacbbbbbaabaaabbcaacbbbabbccbbaaaabbcabccbaacbccbcbbbcaaaaabcbccabbcaaccbbbcbbbaccccbccaaaaabbbbabaabbbbabacbabbbbbbccbcabbabbbabcbbbaabccaaabbbbbacbcaacbabababbbbbacaccbbaabaaaaacabaabccccbbbbbbbbabcbcbbcbabbccbcbabaacacbaabcbbcbbbacbcbcbbcbbbbccbbbbbbcbccacbccbbbabcbbcbbababaaaacbabccabacbccbbbcacacccacbcaabcaabaccbbbbabbccabbcbcbbbccacbcbcccabcaabaacbbaabbbababbcbccaacbabcbacbcbabbbcbcacabababcbccbabbbbbababacbbcbbbbcbabbbaaabbbacbacbcbbcaacbacabbccababbbcacaaacabccaabaaabababbacbbabaaacabababcbbabbcbccabaccaabbbacbbbaccababccbcbaaacbcccaabaabbcbbbacbacacaabaabccbbabbbcbcbbbbacbcbbbbcbcbbaaabaabbbbbbbbabbabbbbbbabcccabbaccacbabccbbaaaabcbbbaabacbccbaabcaabaacbaaaacbabcaabababbbbaaaaccbbbbbaacabbcaacbbabacaaabbcbcbbcaccacbabacaccacaaacbbbabcbcaccbbcbcccbaaacaacbbacaaaaabcbabbbbbaabababcabcbcaaaacbacccbaacacccaabaacbccbacbcbababbbbbaabbcabbabbbbbaacacaacbabccbbaabbccbabbcbabbaacccbaaacacbacbbbbaaabacbbabbabbacbbcbbabaabbaabaaaccabbacbabaabbaccccccccabcabcbaababbabaabbabbbbbcacbcaacbacabbbcbbbbcbcbcaabcbbaccaaabbbaababbbcabcababcbccaacabbccbacbbcbaababbbcbbbacabbaaabccaaaccbbbbcccbcacaababcaabcaaaababacaaabbaaabbaaabbbbccabbccaccaacbbbbcbcaaacabbbbbbbacbaabbcabcaabbbbabcbaabbbbbbaacccbbacababbaaaabccacaaacbbbaababbaaabbbabbbbaaababbbacbbbabccabcbbaabccbbabcbcabcbabcabacbacbaccccbacbaccccbacababbccbbcbcbaabcabbabccbbbcbaababbcbaaabbaccbabbbbbbaaacbbabbcbbcbaabaacbcbccbcaabbacbaabacaaabcccbcbabbcababcaaccabbbaabbbcbccbcaabbbbcacbbaacaabaabbbaccababacbbabbabcbaaacbbabbbacbbccabbccbaacbbcaabcabbbcbccaaabcaabaabcabcbcbbcaaacaacacbaaabbbbacaaacbaabcbbbbbbbbbbacbbabcbbacabaaacabaccaabbbbbaacacbbbaabcabcccaacbcaabbabcabbbbacbcbccaacbaabbcaabcbbbbabababbbcababaaabbbacbbbbbbbcbacbcbcbbccaabbbacbbcabcccbbbcaabaabbbaaaaacbbcabacabbbaaabcacbaabbaaabbabacabbcbbaaabacacbbcccbcabacccababcabccaabbccbbbcacabaaabbbbbbbbcbababcbabbbabacabcaabacbaccbcccbcbacbbcacbbbabbabbaabcabaabbaabbcbbaabacaacbbccbcacacbbbbbbcbcbcabbbbbabbbbcacabbbcacbbcbaaababaaabbbccbcbbbaccabbcbaaabababcacacbaabacabbbaababcabaabbcbbaccaccaabababababababaabbcabbacbbbabbbcabcbbcccaabcabcbcbacbcaaaabccbccbacbabbbabbcaacbaacabbaabbbaaabbbcabcaacbbbaabbabaccbbbbbbbcaacbaaabaaaaabbbabbbbaacbbbbbbbbbaaccabacbacbcbabbbbbbbbabcbbcaaacaacababccaccbcbcacbbcbcabbabbbbbaabaccbcaabbacbcbbbbcbbbabbbabbbaacbbbbacaacbababaacbaabbabbbbbbbbacbabaaccbccbaaaacabbabcabbbbcbcaacaacbcbbaacaccbbbacacbbbcbbbabbaabaababcaccbcacacbbcbacbbaabcbaacaccbbccbabbbabbbbcaabbaabcbabcbbacabccbaaaaccbbaaabcabcbaacbcababcaaccbcbbaacbcbbabbaaabbbaacbacaaacbbbaccbabaaaccbcbaaacbaaaabcbabbaabbbbbababacaaabacbcabbbbabbbaabbacacbacbbbbbbbbaabbababbbaacacbbccaccbbcbcaacabbccbbabacbbabcbbbbbbbbacbaabbccbaccabcbaaabcaaabbccaaabbccccabccabbbacbcabbcbccbbcbbaaaccaabcacbbbcbcabcbbbacbcbcacaabcccacbbccabbccbbbcbbbaabbbbcbccbbbcaabbbcacbbbacbabbcbbabbacabcaacbabcbacaaccccacbcbcaaababbacacacbcbbcaacbbcacacbbbbbcabacbcbccbbbaaabbbbbbbbcbbabcbbabacabbbcaaabacabbabbbcabbcabcbcbacaabacbbbbaabbbaaacbccbccbbabcbbbaccbbabaaacabababcabacbbbbbbbcbabbbbabaababbcbcbbabbcaabacababbababaabcbccbcbccbbaacabbbbbcaaababbabbaaabbabbabbababbcabcbaaabbcccbbbbbbbbbcaabcbcbabbbaaccbbcabcbbbbaabbbbbbcbbbbcabbbbaacbabaccabbaabbbabcabaacccbcbbaaabbcabbcababbcaabbbbabbbacbababbbbbbbbbcacaaabbbbcbbabbbabbabbacbcacbbcbbabbcbbaababbabccbbabbbcababcbbaaacbabbabbccacabacbabacabbaaaaacacbcbcbcaccaabacccaabcababbacbacbacbbabacaaacaababbabacabaaaabaaabbbabcabcabacbabbcabbbacaccbababbbcaacbbccbbababacbbbaabcabaababaabbababaaaacbbacbbbcccbaacbcbbaacabbbababcbacbacaabbbbbbacbaababbbbbccccbabbbbcbbbbabcbabbbabbabaacbbabbabaabababcbbabbacbbabcbacaababcaabbabbcabbaaacccbacbbabbbbaaabbbabcccaaabcbbbbbcccccbbabcacbcabcbbcabbaaabbcabbbabbaccbcbcbaaabbcbcaabbaaabbbcbbbbaabbaccbbbbaaaabcbcbbcbbbcbbccbbcbcbbcacaabbabcbabbabbacbcacbbbbbcaaababbaccabbbbaababcbacaabccbcaabbbaaabbbbcbccbabacacabbbbbbcbbcbcccbccbbbcbcbbaacbbbcbbaababcaabaacbabcbbbbbcabbbaccaabbaccbaccbbbbbaacbacaccaabaaabbccacbacaabababacacaccacccabcbacaacbaaabcbcabcbacbcaababaabababacbaaacbbacabbcbbbbbcbbbbbcabcacbbccabacbbcbcbaaaacacabbbacccaaaacbababbbbacbcabbbbbacbabbbbbababcacbbcbcbbbabacbaabbbbababbbbbcbccbacbababbcbbcaaaaaaaabcbaccbccbabbbbcccbbaacbbacabcacaabaaaccaaabaccbbabbcaccacabbcaacacbccbabbbabbbaabbbbbcbaabbababbcabbbbbbcbbacabcbaabacbcaabbacbbbccacbabbcbcaabbacbabbbabcaaaabacbbbbccbcbbaccbbcabbcbbccbcabcccbaabbcbbbbabbacbbcbcabababbaabaccabbbccaacbbbabbbbaacabbbabccbcababbbaabcbaacaaaaabccbbcaababaaccaaccbbbaccabaababaabbcbbbbabababaaacbaacbacccbbcbabbbbcbbcabaacbcbcbbcbbbabcbbcacabbbcacccbbcababbbaabababaababcbababbcbbbbbcacbcaabcbababacbbcbbaacabbbabbccaacbbaababcbbcaababbbbcbaabbbabbbabccabacabbbcabcaabbbaaabacbbabababbbaaacbbbacabccababbaccbbbcacabcaaaabbaabcabbabbaabbcaabcbbaaaaabcbaabbbbaaccbbbabaaaabcbcababbaacbaaaaccbaccacbaabbbbaacccaccabbcbcabcccbacccbacbbccbcaabcaabababcbabbbbbabbabbabaababbbbaaccccbbbabbaacbcbcbacabbbbbbbbacbabacccbccaabbcaacbcacaaaacaabacaabbbbbabbabbcccbaaaccaabaccabcabaacaacbcbccbbaaabbbaabcaaaababcabbabbccaccbbbacaccaaabcbaaabababacbaccaaaaabbbabaaabbbbababcbcacbbbababbaabcabbaacbaabbcabccaaabbaaabbabbbacabccabbcbabaabcbbabcbabcacaabaaaccabccabbaabbccbbbbacbccacbbbbababbbbacabcccacabbcaacaccaaabaabaaabbacabbaaacaaccbbbcacaabaabcbcccabaabbabbcbbbbabcbbbabbbbbbbacbcbabacabcbccbbbaacbaabbbcabbcacbcacabbbabaabaaabbaaaabbabbbcbcbabacbaaaccbcacbccccacbccabcacbabababcabababbbbaabcbbcababbaababaabbbcabaaaabcacbcccaabccabbcbbbaaaaabaacbbcaacaabbabbbbbacbacababbbccabbcbbbacbbabcbabbbbcbacabacacccbbbabaacbbcbbabbcbacaabbaabbbbacbabacaacacaabaabaaaacbbaaacaababcbabaccbcacbaccabbacaabcbacabbbacacbbcbbabbaccbbbbbbbbbbcbacbbacbbacaabbabbbaaaabbbaabccbcabbcbaabaaabcbbbabbabbabbabacbbcbbacaaaacbbbacaaababccabcacbabbccaacbabbcacbbbbcbbcbbabbbaaabbabacbabbbbbbbbccbbccaacacacbbacaabcabcbaccbbbbaabbcbbabcbabbbbabcabbabaaaaaccabbbbbbbacbbcbabbcbcaaccbbbbcaabbbabacccbbbbbacaacccbbccababcacaabaabcccbaacaacbbbcbbbbbcabcaacbabcaaabbabccabacabbcabbbccabcccbabaabbbbcbbaaccabbaaabababbabbbaabbcabcacbabcbbbcbacbbbcacaaaaaaccbbccccaacbacbcabbbcaabcbaabbacabaaaccbcaabbbababcbbcbacaabbbaabacabbabcbbcabbbbcabbbababbcbcabacbaaabaaaaaaaabacbbabcbbaabccbababbabbcbaabcaaccacabaabccabbbbabcbabaccaabbbbabbbcccacbcbbbbbccacbbcbcbcccbbabababbabccabaacabaababbbbcbacbcabcabcaccbbaccabbbaaccbaccabcbbbbccbbaabcbbacbabcbabbbccabbacabbbacbbcabcabcbacbbbacbbaabbcbaabbaaaabccbaabbcbbabbacaaacbabbababcbaaacabaabbccbbcccbbbcccabcbbaccbbbbbcbbbbbcbbcabbccabbaabcbabcbbccbacaabaaaacbabbcbbacaaccbbcbbbbbabbcaacbbabbabbababbbaabbacabacbcaccbbbabbbacbcabababbabaabacbaaacaabccbbabbbcabccccaccbababbbccbabaccbbbabbbabaccbbacbbababcacabcaaabbbbaccacabacacbbbaaabaabbacbbcaababbbbbcabcbbbbacbccaabaaabcbcacaabbabaabcbabacabababbbcbbbbcbccbbbabbbbbbcabccbbaabbbcabcbaaabbbababaabaabbabacbbabcaaabbbbcbbbcbbbbacaabcbbbbabbacbaaababbbbaacababcabaababbcacbaccababcbacacbcbcabaabbaabababbbcbcabacbcbbbbacbcbcaabbbcbcbabacaabcbcbbbbabaabaaaabbcbaaaccabacbbaaababbbabcbcababbbbabbabcbbbcbcbbbcbbabcbbabcabaaabaaccbcbbbacbabbcbbaabbcbbbbbbbbaabcccbacabababbcaaacacccaabcabbbcbbbabcbbbccbacbacacbaacbcbcabccabacbaabcacbcabaabbabbabbbbbcbbbabababacbbabaabaacacbabbabaacbbaaccaabbcccbcbbaabbacabbcababbcccbaababaaacabbcaaabbbbabccacaaaacbcccccbbabccbbbaccbacacbcabcbbaacccabcbcaabaabcbabbbcbaccabaacbbbbbcbbbbcacbabbccccbabbbbabcbaacbcabaaaccbbcaabbcaaaabbbcbacababaccbbbbbbabcabcbcbaaacccacbacbcabcacbaaabbbccabacbbcabbbaccbbcbbbaabbbccbbabccccbbbbbbcbccbbabbbcbbabbbbaaabbbacaacbcbbbbacbcbbbcaaccbbbbbbbabababbbbbacbcabababbabbaaacbbcbbbbacbacbcaaabbbbbabbbbaabcbccbcaaaaabaabbababcbcaaacbabaccccabbbbbbbaacbbbcbababcaabbbaaabccccbbbbbbbbccbacabccbbbbabaaccababbcabaabacbbbbcbcbbccbaacbcabbabbbbbbbaccbbbabbabbbccabaabbbbbbabbabbaacababbcbacabcbabbcbaccbbbccbbcbbbcbbccabbbbcacacaccaabcbacbbcaabcaaccacccbbccccbccbcbaccccaaacacbbcbacabbabbbbaabcababbabbccaabbcaacbacabbbbbcbbbbbcababbabbbcbacbbbaabcabbbababcabccbacbcabcaabbaaaabbccbcaabcaacbbbaabbbbaabbbbbcbacbbcbabcbbbabccacbbccbccbaabaacababcaabacbcbbccbcbbaaaacacbababaabaaaabaabacbbcaaacbbacaccbbbccbcbbcacabbbabbcacaacaaaabbabcbbbbbabbabbbbcabababbcbbabccbaabacabcbbbbcbacbababaccaacbcaabcabcbcabaabbacbccbbbcbbbbbbabbaabbbaaacbacbaaabcbcbaaacbbacbbbbcbbcaacbbcabbbbcbbcccccbbabacbbccccacacbacacabaabcbbcbababbaaaabacabbababbcacbbacaabbcbacaacbbcbabbaccbbbabaccccbabccbbbbccbbbbbbccaabccbaaabbbcbcbcbacaaccbaaacbabbbcbaabcbbbcbccbacabacbcaabbbcbbbabbbbabacbabaacbacbbabbaabbaabcbbbbbcbcbbbbaccbabaabbbabcababbcabbcbabacabbbabacbaabcbbabcbbbbcabbacbabacbababcaacbaababcbbcbcbacbbbbacbacabaccbbbbbaaababaacbbbbabcbbacababcabcbcbaabacbccccbbbbacbcabbbbbbbcbaccaaacbacacabbabcabcbacaacbcabbbabbacabacbbbaabbaaaabacabbbbbaabcacbacacabbbbcbcbbaaaaaabbbbcbccbabcabacbbaccaaaccccbacbabcbbbbbbabbabcbbbabbbacababcabababbcbabbcbaabbabcaaaabaababcbbcbbbbcbbbababccaccaabbbaabbccbabbbacbbaaabbaacbacbcbbcaabbbbbaccacabaaabcabaaaabcaccbacbbbcbccbabbbaabbbcaababacbbbcbaaababccabbcbbababbcabacaaabababaaabccabbacabaacbbccbbbbcbcbabbbcbacacacacabbbaababbbaabbbcbaccabcccabbbbbcbaabbcabababcbabaacabacbbababbabcbbababbacbbbbbbbbababaabbbbbababaabbbaabccacbbcaacaabbbbcabbbabaacabbabbabbabacababbccbbabbabccbbcaaacbabbbaabbcacbbcacababbacbcabbbacbacbacaaacaabacbabbabcacabaacccabacbaacbbbaabacbcabcbaaaaaaabbaacaccbabcbabbbbcbaaabbabacabccbaaccaacbabbcbbbcaabaaababbabcacbbcbbbaccbcbbcbbacbacacabcbaacaacabacbabbacabacbbaccbbbbbbcbcabcaccbabbcbaaacbbbaabababcaababcccbbbbbbbbccabaacbbbbabcabbbcbbabaabbbabbbabcbbbaaaaabbcaacbbbaabbcbbbbbabacababcbababbbacabaaabbbcaaacacaacabaccbbbbbabaababacbbbaaaabbbaccacbbacbaaaaccaabcaaccaacabbbabacbaabaccbcaaacabbbcbccbbbcbcbcbbbcbcaaacabcacaccbacabbbaaaabcccbbbaabcabacccbbacaabcbcaaaaabbacbbccbcaabaaacccbbcababbabccbababcbbbababbabcacccbcbbbacbcbacacbcbbcabbbabbcbacaaabbcbcbbbbabbbbaccbacaccabbbbcaaaacbbbabbbbbbbbaaababbcaabababbbabaacaacaabbcbaababbaaccabbcbcabacbcccbabccbababbaaaaccbbbabaccbbcbcbababccabbabbcaacbabbabcbbbcbaabcacbbcaabababcbabaabbbaaccbbbcbcbbbbcbbcbaaaacaccaabbaccbbaabaabcbbbbbcacaacacbaabbbabcabbabaabbacabbcabccababccababbcbbbaaabbbabbacabbcbaacbcbabccabbbbaabbbbbbccaabaacabcabbbcabaaaaabbacbaccbaabbccbaacbacabaabcbababbaccaccabcaaabacbaaacabbbbabcaaaaabbbcabcbaabbabbbbcabaabbcbaaacbbabacbbbbbbacbbcabcccccaabbbaaaacccaabbaaaacbacacaabbbcccbbaaababbbbaccaccaabcbbbcbbcaccabbcacbcbababbcbbbbababaabbbabbbabbcabbbacbbcbacbabaaabaabbcaacabbbbacaacacbaabbababcbbaaacbaabaaaabcbbcacbbabbabbabbbcaaabaabacccabaccaacbaccbbbcaaabcbcbbabaabccbcabbaabcbaacbabbcaccbcababbaacaccbaabccbaccbcaabbcbaccabcbbbbacbccccabbbaaccabbaccbbbbcaaaabbbcbabaaabacaaaaacbbcbcbcbcabcabcbbcbcbbcbbababcbcbababbbcbaccbabbccbabbabacaccacbbbaaabacaccbcbacbaaabbbbcacccaabcabccacbababbbaacbcaccbcbbcbacbccababbbbabbbbaaccbcccaaabbcbbabccbabccbccbbabbccabbbbacbbabbbabcabcccaabcbbbabcbbccaacbbbaccbaaaabbbbacbbbabcbbbbbcbbabbabcbaaabcbbaacbcababbabbbcbcbbabbcabaaccccbbbabbababbcbcababcababacbbabbabaabbbabbabaacbbcbccbbcccaababcbcbbabbbbcaabbccbbbcaabbabbbbccaccccacbabaacbbcabacaabbbaccabbbaaccbabbaabbabacabbbbbcabcbbcccbbbaaaaacbbcaabbbaaaccbbacbacacbcacbcbbbbbabbbbbbbbbbbabbaaaabbbcacaacccbbabaabcbbacbbbbabcbbbcccbccaabababbaaaaabaabcababcabcbaababcacbcababbbbbabbaabbaccccbacbbbbbaaabcccbacbacccbacbbbabbaaabbbcbbbabcbbbaaabcbbbcbbbbbaaaaaaabcacbcabbcbabbcbccbcabaaabaaaaacabcbcabccbaaacabaaababcaaababaacbabbbbbbbccbbaaaabbbaaaabbabbababbbcbabbbabaacaacaaaaaabcabbbabbccbcbabacaaacabbbbbbbabcbbcabccbbcabbcabbabacbbabccbcbbbabbbacbcbbbaaaabbaababbbabcbacaacbbacaabbabcbacbbbbcbcaccabcbbbccbbbabababbaabbabacbbbbbcaacaaccbbbbabaacccbbbbcabcbabcacbacbbbbcaabccbabbbabbcabcbbbcabcbabcaabbcbbbabbaaabaaabcbcbacacbccbbaacaaaacbbbbcbaaabbbaaababcbacbbcabbabbbbacccaabbccacbbabccbbabbaccacbcbabaccabcaaaccaaccbbaaabccbacabcbbcccbbcbcabaabbbbaacabbccbcbcbbbacbcbccabbbbccacaababcbcaaabbacbcbbcbbbbcccacacbabaaabbbbbabcbbaaacbbcbcbaaabcaacbababaaabbbbacbabaaccabbacbacababbcabbbcabcccbcbaaaabcbacabccbcbbcaaccbcbccabaccbbacbbaabbccbbbacbaabcbbabbaccacaaaacbbcbacbbbababcabcbccabcaabacaacaaacaabbcbcaacaabccbcabaaaabbbabbbcacbcbbcbbcbbacccaaaabaaabbccaabcaacbccbcbcbaabbcacacbbcaccacacaabacacabcbabcbacababbcbcbbbbcbbbabaaaccabcbccbbccbbaacbbccbbcbbbbbaabacbbaabbbbbaababbbbbcbbbcbaaacabcabcaabcaabbbbcbcabbacbbbbbbbbbcabcbbaabbbcabbcbbabbccabcbaaccccabbccccbabbbbcbcbcbabbccbbcbbaabbaabababbaabccbaabbbcabbaabbbbbabacbccbacbabacabbaabbabbaabcbbbbcbbbbbbabacbcabcbaabcabbbcacbabbbcabbabacbbccabaaabcbbbbbbbbbbbabcbabbacbcabaaccabcaaabaabaacaccbbacbbababbabaababcbacacabaabccbabbbbbaaabbabbccbaabcaccbabcaabbbbabaccbbcbbccccbacbbabbabbbbbbcbccbaababacabacbbbbbbbacbababcbbbcccbcbcabbccaaacbaababbbcaaacacbbaaaccacbbbcbbbabcbbbaaccbbbccbacabbccabbacaccbabbabcaacbbcacbbabbaabbbbbacbbcccacacbabaabbbabccaaccabccaacabbbbbbccbcbbbabcacacaacaacaaccbcaabacaabcbbbabbbabbbbbaaabbcbabbacbbbbbabacbcbbbabacbbbbcabacacbcbbccbbbccbbabcaabbabaabaacbaaaabbaabcbccbcbcabbbbabbcabaccaaabbacacabcbabbbcabbbbbcbacabcbbbbbbcbcbcbbcbbaaccaaccbbccbbcbbbbaaababacacacaabcbbbbaacbccbcccbaacbaaaccbcbbbcacbabacaaccaacbcccbbaaacbbcbbaccabccababbabbbbbabcaaacaabccaacaaabbacbcbcaacbbbcbbbbcaaaaccbbbaabaababbacaaacabbbbbcacababbababababcacbaaabbbbbcbbbbabbbbbbacbbabbaccccbbbccbccabaacacbcbaabaccbcbabbacaabbacaaaccaaacbabcbaabacababbbbccccaacbbbccaaabbccbcbcbccaacbbaabbbaccabbaaacccbabcbabbbaaaaccbaabacbaabacbbcbabccbbcabbbbcbbbbabbaabacbccbcbbabccacaacaccbccbbabbbbacaaaabbabcacbcaaaaababbbaabbbbaccacbabbcbcbbabbbccabcbcacccccbcbbbbabacbbcacbbbbaacccacabbaabacbbababaacaccbcbccaaabcbbacaaababbcbabaabbbbcbbbababababbabaabcaacaabacaaccabbcbcaabcbababbcbbbbccacbcccacbbbabababcabcbacabcbbbcccbbcabbbcccabcbabcbcacacbaaaacbabbcabaaacbbccbcabaabacabaaaabbbcbacbcababcbcbbaaabcbbcabccacaacabbababcbccaaabcabcbbbacccbccababbaabacbaabbcaaaaabbaabcbbbbabbbbabbcabbbaacaabccbbcbaaacbbbccbabbaaaaabbbbbabccaccbabcbbbbbbbabccaabaacbbbbabbbbcacbbaababbbbabcbbbcabbbabcbbacbcaacbabacbaaabbaaccaacbcbccbabaaabccbcbabbbcacabcbaaacabcaaacaaccaccbbbaccbbcbabcbaaaaaababaccbbaaabbaabbbbcabbbacabcacaabbcaacbbbacaaacccaaababcaaaacccaacbbbbbcbababcbbbacbababccbbbcbabcabcabcbabbcaccccaacababbcabbbaaabbacbccaabcaabbbcabcaabccaacccccbaaababaaacbcbbbbabcacbababcbbabbbcacababacbbbcaacababababcbacababcccabbcbbbbabaccbbbbabaabbbaababbacbcbcbaacbbaabbbbbccaabbbbccbbcbcbcabbccccacabbcacbabcbbabacabbcacabccbbbabaacbbcbaabbcabcccbabaaaaaacbccbcbbbcabbbccbbccbbabaacacbcacbaabbccaabbcccabaccbaaaccccbbccbabbcacbabbbcccbabbaacbbbaabcbabbbcbbabbcccababbbcbccbbaaccaccacbcbbabcbcbcabacacbacbcbbbabaaabbcacbbbbbbbaccbababbbaaababbaabacbbbababcacbabbbcbbaabbcacbbcbabbcbbababcbaaaababbcabcbabaacbcbcbabbbbcbacaaaabbcabaabaacbcacaccccaabbabbcaccaacabccabaabbccaaabcbabbacbacbccbaababbabbaabbbbcaabaaacabcabcbbbabbbccabbbbabbcaaabbaaabbbaaaacbcbbbcabcbcbbbbabaccaabbccabbacaacbbcbbcbbaababbcaabaabcbbbaababcbbbaaaabbaaaabbccaaaabaaacbbbbabbcbbbccacbcbcbcacacaaabacaabbcbabbbbcabbbbacbbbbaababcbabcaacbbacbaabaabcabcbcbaabbaabbbbbaabbbabccbbbbbbcbcbbacababcbabbacbbbababbaacbabbcbbcbaabbcbcbabbaacaacbccbcabcccaabbaabcacbcbbacbabcbacbbbaacabbcbcbabcbbbbababaaaabcbbcbcabbbaabbacbcccbbcbbcabcccbbcaaaabbbbbbbcbabbcaabbcbabaabbbababbbbaacacbaccacbbccccabaabbacccaccbaaaacacbbccbbbcbbbbaccaabcbbbbabbacbbbbbcbbabccabbcbbcbbccaabaababcbbcbcbaabbabbcbbbbaabaaaaababbcbccbaabcbababacbbbcbbcbbbbbcbbbbacccbabbaabacbbabacabababbccbaacbaaaaccbbbaaabbcaaabaaacbbbbbabaccbccbbbcacacacbbabbbabcbcbbabbbbccbbcbbabbabbbbacabcbbabacaacccbbccaacacbbaabaaabacabbccacabcacabababbbaccabcbcabaaaaccbabbbbabbbacccabcccabbbbcbcaabcaababbcbacbbcabbbbbcbbbacbbbbaaabbabbbbcabbcbcaaccbaababbbcaaabccaabacbcaabbbcccbacbcababaabbacbacbbaaaabcbbbaccbbaababbbccabccbcacababaabbacaabbbbbbaaabbabccaccacbacbbbcabcaababaabcbbcbbbbcaabaccabbabbbcbabaccbababababaaacabbbbabcaababcbcccbbaaababbbcbbabbbbaaaacbacbabbacbacbbccaacbbbbcabcabbaabbabcaabbbcbbbabbbbbbbbbabacbccbbbbaaccabbbaabacbbbacabbccbcabaaaaacbbacacbacbacabbbbbabababbbcbacbbbabbcbbabacaacbbbbbabbababccabcaaccbbbcbbbababacabbbaccbacaababbbbbacbbbbaaabbabbbbcbababbbbbaaaaccbbacbbaaaccabacbabbaaabcaabbabbbabbaaabbbbcbbabbaabbcccbaacbbbbbacbaaaababcabbcabcbacbbbabcaaaccbbccabbcbcbaccbcacbbbababbcbcaacbbcbabcbbabbacaacbabbbabbbbcbccbbabbabbbacbcacbcabaaccbabbaabaabcaababcbcacbaccababbbbabbbbababbbbbbbcaabbbbbccbbbbabababbbabcbaaacabbaccabccaaabcbbbaaabccccacbbccabbbabbababcbbcacabbcabcacbbabbbbabccbababbbcbcabccbbbbbbabccabcccabacaccabbbbabcbbbbbababbaabacbcababbaababbcbbababccbacbaabcccaabaababbabbbcbabbacabaaababbbbacbacbcabbabcbabcbbabaaabaacabaaabcbaababcaccababbbabcaacbbacaabccbccbaababaaabbccaaabcccccbbcbaaacacbbbbababcbbabababbbbbabaacbabcccbccccbbcbacabbccabccbbbaabbcbbbccaabaccbbbababbbcbbbbbbaaababacbbbbabcbbcaabaccaaabbbccabaccaccaabbacaabacbbbbbbbabcbaacbababbacbbcaacbccbbbaabcbaababaaabacabbcbbbcacbbaabcccacbbcbbacacacacbacbbaacabccbababcbabbbaaccbbcabbaccaababcbcababbacbababbbcbbbcbbcaabcbabcaacbaacccbbbcabbbbbbbabbbcccbabcbbbabbbbbbaaabaabbabbcabbbcbabbbbabcbbcacbabccbabbbcabccccbbaacbcbbcbabbaaabbbabaaaabbbcbcacbcbcbacbbbcbbbcbcbbbcbbbccbacbaacababaacbcbbaaabbbacabaaaaabbabbbbbbacbbcbcacacbcbcacbbcabcaaabbaaccaabcbbbbcabbacbabbaacbbcbbbbbabcbabcbbcbabbabbbabcbbaabaccbcbbabbbccbbacaccbababcccaaacbcbabbbbbacbacccabbbcbaccbcbccbcabbcababbbbbcabbacacabaccaccbacabcabbccabbbaaabbcabcbbabcacacbabbbbbcbbbbacccaacccbababbcbbbbabbaabbaabbaaacbbbaaabbbaaaacbababbbababbccabbbcaabbbbacbbccabbbbabaabaabbcbaaababbbbbcabcaaabcababcaaaaaccccaacbacaabacacbabbabbbaabbbabababcabbbbababbabbccccbbcbaaccabbcaccbcabcabbcbbcbccbaaacaaabccbbbcbabbbccabccabaabbbabcacaccbaaababcbaacbbcccabbccbaababbaacbbaabbcbbababaabacababbbcbbccaaababcbbcaccbabaaccaabcbaaaacbabcabbbaacbcbacbbabaabbccbbbbbcbababcaabbcbacbccabacccacbabbbbbaabccbbbbbbaacbbccbcbcaabaccccbcbbabbacbbbcbbacaccabaccaacbcccbcacbbabbcabacbbaaaaccbabcbbabbacacbbbbbbabbbabbbbbabaaabcacabbaaabccbcaaabbacaabbbbabaacaacccabcbbacbccbabaabbcbbcbabaacaaabcabcbaaaabababacbabcbccbbbbbaaacabbaabacbacabcbabbcccabcbcaccabbabccbbbabcbbcbaaaacabababbbccbbbbcbbcccbccaccbbccaccbababababbacbbbbcaabaabcccaacbababbccabcbabaacabbabcbacccaaaabbaaabcbababccbcbcbacccccbbbaabbbabbbacacabbbaacbbccbbbcbcbcccbcacccaaacabccbaaabbaabbbaccabcccaccabbbaacbbbcbbbbccacabcabacaabaabbccbbbbcbbbabacccbbbbbabaacaccbbbbabaacbcacbbccaabbbbbbbbaababaababaacabacbbabacbabcacbcbaaccbbaabcbbbcbbaaaabcbbabcbbbbbababaaaacbbbacbaacaabcbbcbaacbbbbabbbbbaacbbbabacacccbbcbbabcabbcbccacbbabbaabbcccaaccccabbacbbbaacaaaccaaaaabbbaabcacabccbaaccaccabbccbbbbabcaabcaacbcbbbbbcbcbabbababacacbbbbbbbcabcbaaaccbbbcbbccbbcbabbaccbaabbccababbbbabbbbbcbbcccccababcabbbbbcabaabbbbbbbaabababbcbbacccbbaacbaccbcccbcabcbcbbcacccbbbaccbaaaaaacaabbababaaacbcbbbbbbbaabbcbbcabbbacbacbacccaabcabbaccbcaabaabaaaaaaacabcacabbbcbccbbacaaabbacacabaabcaaccbcaabbaabaabbccbacbcccbacccbaacaabaccabcbbbaacababbaaabcbcbbcacbaacbaaaccbbabbcbabcabcababbababbaaaabaaaacaabbbaaaaabbcccaabaacbbaabcabbbbcbababcbcbbabccbcacabaaaccbabbcabacacbbaaccbacbabcbcbcbcbcbabaaabbabaabbabacabcacccbbabcbcababcabaacbccaabbcbabbbabbacabbcbbcbaccbbbabbbbaaaabbbbbacbabaabbbcaabbaaccbaaacaaabbaabbbabcbbcbbacabaabcacbbbbacbbbaacacbcbbbaaabbcaaaabaccbbaaabaaabcccabbbccaacbcbbcabbcbcabcbbccbcacbcacaabaabbbbccbbbaaccbbaaaabbaabcbbbbcbbbaacbbacabcabbccaaacaaacbacabbabbbcabbbacbbbbbbbcbabcbaabcabcaccbcacbbabcaabcacbacaccbcabbcbccbbcaaacccbbcbbbbcacbaaabaaabaabbcabccaaacabbccbcacbcbcbbbcbaacabaaaabbaababbccbbacaabbbabacbacbcaabacbbbccabcbcacacacbccacabcbbabbababbcabacaabaacbaacaabcabcbabbabbabaabbbabbcbbbacabbabcbbbacbcbaabbbaacbacbaabcbacaacbacbbabacbabbcbacbcbaacababccaabaabcbcbaabbaaabaaabbbbaccaaaaabbbcaabcacabbbbababbbbbbcbacbbaaabccababccccbbbbabbcbcabbcacbbcaaabbaccbbabbbccacabaabbbbcabbbbbababbcaacaabaabaabbcccabaabacacabbabbaacaabcbabcccacbbabbbbbacbccaacaabcabcacbaacbbbacbababaabaacccacbcaacbbacbaabbacabbbaaacbacbcacabaabbabbbbabbcaababbbcabccabacbacbaaabbcbbcbbbaabaabcbacacbbcaababbccbbbcbbcbaababbcaabcbccabcabbcabbcacabbbbbaacbbabbcbcbbbbbbbabbabcbbcbabaabccbbaabbabbbabacaaacbbacbabcacbbbcbcccabbbaccabcabbbbcacbacbacabbbbcbcbacababcaaccbbbbaabcbababcabccbabbabcacbcaabbbbababbbaaabacccbccaccacbaccccbbcbbacbbbbbbcbaabbcabacaabbcbcabaccabaabbbabacabbcbacababbcbcaabbaabbbbabcabbbacccaabcabccacbcaacbbccccabbabbacbbccbbabbabbccbabbcccacbbaacbabbacccbbaacbbbccaabbbcabbbccbcbbbbbacbcbbcabbbabaaaaaababaabbcbbbcbaabbbaaabaabbbcbbbbaabcbaabbbcacbcbbaabbbbbbbbcbacbcbbabccbcababbbcaacbccaabaaaabbccbcabcaacabcccbbacccabbabbccbcabccbbbacbcbbabbbabbbbaabbcbbbcbcacbabcbaabbcbcbbccaccbbbcabbccbacbbacababacbbbbaabbacbabbaacabbbbbbbbbbbabbaababcaaacabccacaaaccbcacabbcababbccaabcabaaabbcabaccabbccbcbccaacbcbbcaacacbbbaccbcbcbbaaabcbbaabcabbbabbcccbabbbccabaccbacaabbbcaabacaacbacbcbaaabbbbabbcbcbbabbcabbaababbbbcabcaacbbabacbcabbacacbbcbcbbcbaabacabcabaababbbbbcccabbbbcabbbbcbcabbcbbbaaaacbaaaabbcbbbcccbcaaabbbbaacaababbbacccbbaaccccaabbbcbcbbbababbbaabbbcbbbbbaabcbbacbacbbaababbcbaacbbabcaccaacbbabbacbacbccbbbbbbabaaaacabcaaaaaabaaaaababbabbbaaacabaabbbccbccbbcbabababbbbbaacaabcbcabccbbbbbbbbbbcabbbbccccaaabbabcabacbabbbcaaaabbacaabbaacccabbbcbbaababcbaccbbabbcabacbababcbbabcbbcbcbabbcbbbbbcccbcbbcacacbbababaabbaaacaacaaaababcbbbacbacabcbccacababbacabcabccbcbcbabccbbaababacbccbaacbcbaabcbcacabbcccbcccbbabaacbcbaaacbccaacabbaabbcacbbaabbcccbbbcccccabccbbaabaccbbbcabbbbbbabbbbcabcacabbbcababbcbcbbcbbaaaaaacabbbabbccbccaabbccbbabcacbabaabcbcaababaaabbcacabacaccbabbbbccaabacbbababccbacbcbababbabcabcaabbaabccabcbbbabbccacacabbbbbacababbaccbccacabacccccababaabcabcbacbabaabcbabbbbcaabcaabacbbcccbbbabbbbabbabbbcbabbabaabaacbbaaabababbabbcabbcabaacccbbbbabacbbacabbcbbbbbabbbcbcbbbbcbabbbaaabaaabbabbabcbacabccbbbcaabbabacbaaabaabbacabbcbbababbacbacabcaccabbbbccbbabbccbcbaaccbbcbcccbacbbcbbbcacbbabacbbbbbabcaacbbbbbaaaaabbbacbabaacbbaaacbaaccacbaacbbbabbaabaabbcacbbacccbaaccbaabababbcacbbaacaabbacbccccbbbacbbbabaabccabcacbbcbcacbccabcccbccbcbaacccbaabbccbccbbcbbacabbbabbaacbaabbccbacbababbaababbbabccaaaabccaabbcbabbababaccaabccacbacbbbbbbbabcbcbbabbbcbbbccaabbbabcbaaaabcacababcbbabbccbbbaccbbbbbcacababaaccbcacabbabbbbbcbacbbbbbbababcabbaaccbacbaaccbbcccbabcacbbcabbacacabbaacaaaabacabbcacacbbcbbabcbabbabbbbabbbcbaaaaaaaabcabbbcbbaacaaaaababbbabcbbcbbbbcaacbacbabbabbacccacccccbbbaccabbbbcbcbcbaaaabaababbaacbbbbbacbbcbbbaabcbabbabbbcbccaabccbbabaccbbbbcabaccbbbbacababcbaabcbbbaababbcabcbcbbaabbcccabbcaaababbaaabaccbbaaaababcbcababbccacaabcbccbcbbabbbabacbacbabbbaaabacabbbbbbcaabbbbbaabaaaabbaaacacabbaacbbbcabcacaccbcabaabccacbcbcccacacabbaabbacbcccbacbbbbaacbbabbbcaabcaccbbbbabacbbbbaabcbbcbaaacaaaabbacabcbbacabbbbcbaabbbcabbcacbacbabccccbbbacabcbbccbbbcbabaccbbccbbbabaabccabbcbbbcacbacbabacccbaabbcaaacaabaaacbbaabcacbbcaaacacbbbcbbaabcbacaacabcbaacbaabbccacaaabaaababcabaabbccbcbbbcbbcaccbbcbacbbcccacbbcacccacbcabcabbacbbabcababacabbcababbccbccabbcabbaabbabbbaabbabacabcacbbacabcacaaabababbaacbbababbabacbbbccbbabbbbacacaacaacbabbcabbbbcacacbbbccbbbcbbbcbcbbbabccbabbcccabaabbbcaabcbcbbababbcccccbbacbbabcabaccbbbaaacbbbccccaabbaaacbaaacabcaacbaaaabbbbabbbcbacccbbbabbbbbbabcccbbcbbbbabbbabacabaaabcbabccccabccbcabaaaaccbaabcbabaccacbaabcabbbbccbbaccbbbaacaaaabbacabaabcababaabcabbbaababccaacaccababcabbaaaacacbccbccaabcabcbacbcaabaaabbcccbccaababbbbbbaabaacbcbabacbbbbbbacabbaaaabcbabcacbabcaabbbbbbabbbbcaabbabbcccbbbabccabccabcbabbbaabcabacbbaabaccbbcccabbbcbbacbabbbbbababbbcaacbbbbbaccbcbbbabbbcbbacbbcaccaaacbcccbbaaaacbbcbacbbabccaaaaccbbbbacbbbccccaacbcabaabaccaabbbbbbbcabbbaaaaaacbcaaccbbbcbaabcbacaaabacacbcbccbbcbacbbaacbabccccbcabbcabbacaabbabacabbabbcacabaccaabaacabbabbccbbaabbbcbcacbabcbaabcbbbbbabaabbccbaabcacacbaabbaabacbbccccbcbabbacbabcababbbaabacabbcabaaacbbbcabcababcbaacbbacacacbbbbcbbbcabcbbabbabaabbbcbbbbbabbbccbaabaccbbabaccaaaabbbbaaababbabbaacbcabcaccabcccaccacaabaabbabbaabcbabbbcbcbacabbabbbcabbbcbbacbbbaabbbabaaacbbbcbcbabbbacabbabcaabcacababbaaababbababbbbabcaabaabcbabbbacccbbbbbbaaacabaacbabbccccabbbbbacbacabccaabcaabcbcbabcacaabbbcaababbbcbacabcbaabcbbacabbbabbcccacabbabbbbbbbcbbcbbbcbabbcbbabaccabaabcaaaabcbaabcccbbabbbbacccbaccbbaaabbbbbbaabbabcbcbabbccbabbbaabcabbbcabcbabcaacbabbcbabacabbbbcabacaaaaabbbbabccabcabcbabbabcbbacbcbbcbccaccacbbbabbabbcaabbabbbccccbaccbcbbaacbaabababaaacaacacbbbcbabbcabbabaaabcbcbababcbbbacbbcccaabaacabbaaccacbbccabcaabaabcbbbccaaabcabcacababbaabcbabbaabbbbabaccaccacbacabacbacaababcacbbabbbbcbabccbabbabbccbbaabaaccaabbbbcaccccbabaaabaabbaaabbbaabccbbaababbbcbbaaaaaabcbbbcbcbaababcbbaccbbacababaaacacaabbaabcaabbbbbaabcabaababbbacbbbabbbcbabcbabbbcabbbbcbabaabaaaaabcabacbcbbbbbbabacabacabaacbabbbbbcbbbbabababacabaabccbcacaacccacbaacbaacbaabbbcabcaaabaccbaacbbabbbacacbbacabccabacabcbbccbbabbaaabcbcbbccbbaccbbbbabcbabbbcabbcabababbbaaaabbbcbbbbaacbbbbbbbcbbbcbbcbbccbbbbcaaabbaccccaabbcaabcacccaabcbbbbbbbacabbbababbacbbbbbacabbbbaccbbaacbbbabbaabcbbaacbbbbbbabaaabbbccaaaaccbbacbbabcacbababcbccacbbbaabcabaabbcaccbbabcaabcabbbaabacccbbacbbbbacbcbaabbaabccbcaabbbabbccbabbcbabbbbabacacaababbcababacbabaaaaabbbccbababcbccacbbabaacbbcbbccbabccccbabcaaaaaabbbbcacbbcabccbabbccbbbacccccbbbbccabbaacbabbcccaaaaabcaacabbbabbcaaabbabaccbcbbabbbbbbaaaaaaaababababcbbacabbcbbcababbbbbbabaabaabcabcbbaabbaabcbbccaaacbacbcbabbcababcbbbbbabbcbbcabacabababccabbbacbbacbacaaacaaabcbccacbaabbbacaaabbccaaabbcbcbaababababbcbabbbbcababaaabbcbcccababbbbbcabcbbbbbccbbcabcccbacbabbbccaabccbacabbabbaabbbcbcbcbbaaabccbccbccaaaacaabaabbcacbbabbacccccbabbabbbbbbbcccbaaabbbccaaabbabababaaaabbbaabcababbacacbbbbabbcbbcabbbaacbbbabaaaabcabbaabaabbaacbaccbacbacbcacaaabbbabbbabbacbcbbbbbaabbbbcbbbcabacbbcbacbbbbababababcbababbbbabcbbbacbaababbabcccccccabbccacbabbbaacaaacbbacaacaabcbabacbbaaabaabbbcbaaaaabbabcbacabbabbbcabbbacbccbabcbbcabccbcacabbbbbbbccaaacbaccaacbbbcabcaabacbbbccabcbacaacccacbcacbcbaaacaaabcabbaacaaacbbaababaacaaaaaccabccacbacacbcbcbababcccbbcbabcbababbaacabbcbccacbabcabaabbbccabcaabbbabcaaacbcbaccacaabbbccaaaacccacbbbaababbababbbcaccbaaabacbbaaacbbbbbcbbabbbcbcacababababababcbbccbbbbbcacbcabccbcbaabbbbbbababbabbcaabcccabaaabbaccacccbcbababbabbbabcbcbccabccbababbbcbbabccbbbbbbaabacbbababbbbcbbaabcaacbbbaabcbbbacbcccabcabbbbbbcabbababaacbbaabcbaaacabbbcabbabbbbacabcacabaacbabacbbccbbbabbabcbbabbbbbabcbbbabbbccbcbacacbcabbaabbcccbabbbbabbbbcbacbcaacabacabcabbaacbbacbbbbcaaabaabcccabbbcbccccbcbbabbacbaabaabbbabaababcabbcaacacaababbbbbbbaabcbbabbaaabbabbababbbacabacbababbaccabbbbbbccabbcabcbaaacbbacaababcabbbacbbacaaaacccbabbbabbaacabaabbbbabaacbabaccaaaababbbbabbabababaaabccbacbbbcbbcbcabccbccabaababaabbcaacbaacaabbaaccbbbabaacbbbabbbababaaababbbbbacbbabacbbbbbbbcbbaaaaccbcacbabaacbbbbbbbbbaacbbbbbabbbbccccabbaabbabbbababbabbacbaacbccabaaaaaacaacccbaaaaacbaccbbccbcccbcbbbbccbacaabbbccbcabbcbbabccaabcbabbbaacacbbabcbccbacaccccbbbcccbcbbababcbcabaccacccacbabacbbcbcbcbaaaaccbbbbaabbbbabbcabcbaababcaacaabaaabbbbabaacabbabaabbaaaabcacbbbcbcbbbacbacabbaccabacbbcaccbbacbabcabbcbbaccbbbcbbaabacaabbabbbbababcbbbaacaaabbaaababcbbaababbcbbacaaaababbbbcabbccabcabbbbcbcabbcbcabbacaabcaaabbbbbbbaccacaabcaaaccccbaabcbbbbbbcbbbbaabcbabbccabbabbbabaaaaaabaabbbacbababbcbcababbbabcaacaaabacacbcacabcbbabbbbabbbacabbbbbcabaaaaabbbbaaaacbcccacaacbbbabacbaacbabcbbbbcabccbbabcbbabbcabbbabcbaabacabbcbacccbbabacabbaabbcbbcbcbbaccbccabbcbcbabbacabbbbcabcbbaaabbcbcbbbbabccbababbbbabaaabbbabbbbccbabbaabacaabbbbbacabbacbcbaaababcaacbaacababcabcbaabbabcbacbabbbbbcbbaabbcacacaabbbbbbabbbcbbbcbcacbcbbaaababbacccbbacbcbbccacbcbacabaccbaabbabaabbaabbababcabcacccbcbaaabbbcbacbbbabbabcbbaabbbcabcaabbcbbcbbbbaaccaabbbabcbbaabacbbacbbbccaababcaccaaabcbacbccaabcccaaaccbcbaaabbcbcaaaaabccbacbaccbcaaabbbabcbcbbcbabbbabcbacbbacaabbcabaccabacbbabbbbbbacbccbbcaacaccbbcbbaaabaabcababccbbccabcbbbaaccccccbcbccaccbccaabaaaaacbccbbccbbbbaabbcbaabcbabbcbbbaaaaacccbcccbababbaabbabbacaaabbacbbacbbbbbaaaaacbbabbacbaabaabaabbaabacbbbcbbbcbbbaabaabccacbabbabbbacbbabbbbcacbbcbaccaabbacbcbaaaaababbabcbcbcabbbacbbbabbaacbaacaababcabababcabcccabcbbcabcabaaababcbbabbbbbababccbccbbcabaaaacaaacabcbabbbbbcabcaccbacbbbcbbaacbccbbbcbaaacbaabcbcbcbaabcbacbbbbccbbbcbcababbcabaabbaaaabaabbbacabcbbcbbaacababbbabbbabcbabbababbccabababcacacaabbcbbbbbbbbbbcaacacaabccaaacccbabbccbabbbbbccaababbbabcbbbcbbabbbbaccabaacbbccccbccbbabcaabbbbacbacaaccbabcbbbbacbbbbaabcbbcbcabbccaaacbcbaabbbababababababbaabababacccbcbbcbbacbabbbbbacbabaaabbcbbcbbcababbbbcbbcaccaabacbbcbbbbabacacccbbbbbbbbbbcccabbbcccbabaababababcbbbaabcabaaaaccaccacacbabaaabbabababbaabcbbbbbbcbabbbbbcccbabcbbabababcababbaacacaacccbccbcacbaabccccbcbbacbaabbcbbacccbbcbbbaabbbbbcabbaaabaabacaccacbabaacaaabbbbbbbbacbacbcbcabacccbccaababaccaabbccbaaccacbbbaaabccacccbbbabbcbbcabccbacccbaabcbbabbbcabbabbbacbbccbbbacabcbaacbbccabbbcaaabaabaabbacaaacabcbbbaaabcbbcbbacbcbbbcbcbaacaababaccbbbbbbbbcabbbbbbcbcababcabbbbcaaabcbcbaaaabbbabbbbaabcacbaccbccbbccacccbccbccbbacbababaccaabcabbbbaaaacabcacbbbabbcaabaccccabcccbabcabbcbbaccbbcbcacaaababbccbbbcccbbcbbbbaabbbbbccabbbaacbbbbbaabbbcacccabacacbabbbccabacbabababcaacbcbbbcbbbbababbcabacabcabbcaacaabaaccacacbbcabbbcabcbbbccbcbcabbbaaabbbbcacbbababccaabcbaabbcbaaabaaacbcaabaabbabcbcbbcabbbcbbbbbbcbbabbbbabacbaacbbaaaabacbabbababcaabcaccabaaccabacaccaabbbbabbacbbbbbaababbabbbbaabbabacacabbccaaaababbabbcaacbbabbbcacbcbaabccbacbbcbbbaaabbabababcbcbcccbbacaaacacabbcccbbbcbaabcbcaacbcabaaacabcbacacbacabababcacbbacabaabbbaaaabbccbbcabbcacabbaabccaaaaabbccbccaaacbbaabbbbacccbcaabababcaaaacbcbbabccccabbbaabcbbabbcabbbbbbbaccbcabbbbaaabbbcbbaccabbaabaacbcbbabccbbbccabcbcbcbbbabbbbabacbabacabacaacbbbbcabcbabbbacabcabbccbcbabcbacbbbabbbbcabaaabcaaabcbacaabbcbbbbbabbcaaabbaccbcbbbacaacacbbabbbbcbabaaabbbabcbabaccaaccbccbcbabccabbbbaacbabaaabaacaaaccccaaacccbbbbbaaacabaaacabbbbbaaaabbbacbbcbaaaaaccbabaabbacabcbababcababbbacacccccbacccbbbabccababbbbabbabcaaaaacacbbbaaababbbabcbbbcabbccaacbcbbaababaabbbbbabbbabbcbccbcbbbaabacbabbacccbcbbbabbcbcbcbcbbacacbbbbabcbbbbbbbaacbabcbabcbbbbcbaaccacbabbbcabaabcbccbcababcccccccaabbcbbbacbcbbabaaccbacbccacbbabcababcccacbcbbbaccabbababaacbaaacacabbabccacbbbcbaaabbabbccbbbbbbbabbcbccbbbbababcbcbabcbcababbababbcbaabacabbbbabbacaabcabbacbcaababbabcaaababbaababbbbacbbccabcabbabacbbcaaaacaccbcaacacbabbcbbabbaacbbcababaacbabaaccabcbbbabbabccaaccccbbabbabccccabbabcbcacbccabaacbbbcbbbabababbbaacabbbbbbbabccccaaaabbacbbcbbacacabbabcbbccbcababbcabbbabccbaacbbbbbbcccaaaaaabcacbabaabbcabbcbababaaaacabcbbabbabbababbababbabbaabbcbacbbbbcbcbbababcbcacccabbacbbbcaacabbcbbaabcacbbcbcbbbabbbaabcbacabbbabcccababcbccababababababbaaabcacabbbbbbbbbcbbbbcbbcbabcbbbacbaabaabacbbbcbaabcbabacacbcbcbccbaacbbacbaabbbbbcbbcbbccaaabcbcbaaabcbcaabcbbabbaababbbbbabacbbbbbbbbabbbbcbacbaaabcacabbbcabbbabbccccabbbbcabaacbcbaaccaabbbbcccabababaaabbbaccbaaaaacbabacbbaabcbcbacaaaacccbbacbbcabcbcaabababacabbabaabbcabbcbbacbccabbacabbbcbbbbccbababbaaababbacbbacbcbacaabccababaabbcaaacbcaabbccbacaccaabcabaccacabbbabbbabbbaacaaababccbcbbcbccacbbcabbbbbaabbbcbaaaabcbbcbcbbccacbcbabbcbabbbccbbbabbbaccbbbbababbbcaabcbaaaccacabbbabbbbbacbbbcaabcbcccabbcbbaacbabbaabbcbbbcbcabbaabbbcbcbbbaabbaaabbccbbbbbacaacabcccacabbaccbaacccbabbbcbaabaabaaabacabbabaaacababcbbbbaaccbabbabbcbaabbbbbbbaccbababbbbbbabcbbaababcaaccabbbabbacbbabaaacbbbcaabccacaababbcabbbbbbbbcababbbbbabababacbcbaaabacbaccbabbccaaabbaaaaabccbcbcbababbacbaababcbbbbbbaabcbabbabacbcaababaaabaaabbcbccbbaabbacbbbaabbbbaabbbbbbbbbaabaaabbacbacacabbbacbbbbbcbcabbacbabaccbbabbbcbbbaaabbccbaaabbaabbabbccbbbaccabacbbbcbcaacbbbbbcabbcababbaaaacbbabbbbccbbbaaabaabcbababcbaaababaaabbaacbbcccbaaaabbaabcbaaaacbbccababbaaaabcbbcbbccabbbbcabbbabbabbaacabcbbbbcbaababbcbcccbbabcbaabacaacaacbacacbababababbbbccbbabcbbabababaaacabbaabaabcbbbbbbccaccbacbbbbbabcccabbaabcbabbbbbbabaccaabbaabccbbabcabbcbabcbbaaabbbbbcbcbbbcbabbbabbbaacbbabbbbbcabcabaababbbbbbaababbbbabcaabbabccbcabacaaacabacbbbbcabcbbbaaaaaacbcabaaabcaababcaabacbcbbaaabacbbbbcbcbabbbabacccbbcaaaaabcbccacbbbbababbbcaacbbcbcbcbaabcbbbbbbcbccbbbbcabcbbbcacccabcaababaacacabcaabcbbbbabcbcbabbaababbbacbccaccbcabaaaacaaaaacaaabbbbcabbbbbccaabbbcbabbabcbcbcabbcababbbcbcabbcbcbacaabbaabacaabacaaabaaaabaccacccccbbbababcacbcbbaabbcabcabbaabbcabcbbbbabaacbabaaabbccbcbcacbbcabcbabbabcabbaaabbcaccbccabaabcabcbcbbabbabbabcacbcbaabcbacccbbabbbbbccccaabbacccbbaabcabaabcacbbbbbcbcbbcccbbbbacabcbcbacbaabacaaaccabcbcbcacabcabacbccacbcbabbbcbbcccabcbcaabbbcaaabaabacbcbbbbbababcbbabbbcbcabcabcbbbbbbbabbabcbacbbabacbaabcbbbcccbbbbacbcbcabaacbccbaccaaacacbaacbcaccbacacbabbbabccbaaabbabcbbbabbacbbabbbccaaabbbbbcabbccbacababbabbacbaaacbaabcbaabcbabccabcaababbcbcbcccaabababbbbbbbaaccbbabbccbbccbccabcabcaacbbbabaabcbacbbabacaabcbbbaabbbbbbabcbcbbbbbbbbacbbcbcaacbbbabbbacbbacbbbcccbabbbbcbbbcacacaccbbcccabbbcbbbbcabacacbacccccbacaabbbcaabbabaabcaacbbbaaaabaabaacabacbabaccbabbcacbacbbabaaabcbccbcbcacbccbabaaabbbcbcccbbbacabcbbbbcaabaabaabccbcaabbbacbcaaaabbcbbaacbcbbbbaabaaccabbababaacbaaaacbccbccbacbabbbbbacacabacaaabccaaaabaccbcaacbacaababbbababbbbbabbaabacaabacbaabacaaaabbbcbbbaabbbcbabacbbabbbaabbbbbcaabbabbbccbbcbaabbcbbababccbaabaacccccbbcaaabbbbaacbbaabbaaaabbccaacbbabcbbbabaacacbbcbababaccaabbacbacbbaccaacbcababbacbabababcabbbcaacbbacbccaacabbcbaabbacaaaacbcbacabbcaaaacbcabbabbbacbbccbacaacaaaabbacbbaccbcabbcacbcbbcabbacbabcbbbcaacbbbbbbacbabbbababcbcababbcbacacccbccbbaacbcbcbbbbbbccbcbacbcabacbbbbcbbaababcbbbbbcbcbbbbabbbbcabcbbbcabcaccbaabaabccbbabcbbbbbbaabccbbbabcbacbbabcbbbbacbaaaccaaacccbbababaabbbbaacbcababccacaabbbbbccbacbbccbbaababbcbbbcaabbaaaabbbbbccbbaabaacbbccbaabbabcbbbbabacbbbbbbbbcbbbabbabcaabbacabbbacbbcbbcabbbacabccbbbbcbabccbcabbcbbabbcbbbcccbbccbabacaabaaabccaacccccbbacabbabccaccbabbabcaabcbcbbaabbacbacbababacccbabaabbcccacbbbbabcbcacacbaabcbaababbbbaabbaaaacacabcccbacabbcbbbcabbccbbababbbaaacbbacbcbacbabcabbabbcbcbacaacbacbcaaabacbbcabcbcbaaacbcbaabababbababacaabbaaabcaaaccbabbaaaabbbbcaaababaacbabbbbcbcbbaacabbbcaabacaacccabaabababbaacabacabacaabaaaaabaccccbbbbccaacbcaccbbabccbcaaccbaaacaacbaccacbacbaaaaacbbbcbbabcaabacbabacbabccaaacbaaacbbaabcacabbaaaacbbcaababbabbaacabcacbbbcabaccbbbabacabcaacbbbbcbbbccbbbacbaaccabbacbabbbabbcabbbcaacccabbbbcbabbaabbbcbbbaaaaabbbabaaaacccababacbccbacbacabccbcbbcabbacabcbabcbaccbbaacccbbbbbbabcbbbbabbaacccbbcbbacaaaaabcbcabbccaaacacabbbaccabacacabcbbbaabaaabaacacbbcbaabccacbccabaaacbbcccaabbbcbcabbbccabcaaacbbccabbcbabbabbbabaacacbbbaababbbcbbabcaabacbcbaaabccbabababccacacccabababcbacbbbbaccabaabcbabcaccbbcbcbcaabcacbacbabbabbbcababbbbbcaabbabcabbabbcababbabcacbcabacbbaacbbacbcbbcccbacabcbabcabcaabbbcabbacaabcaaabaaabaabcbbbabbcbabbbababbbacbbababcaaaccabbbcabacccabbbabbbcbbabbbcbbbbbaabbbbbbbbbaabcaaaaabcababcbbbabbaababaabbaaaabcbcabbbbccccccbcbabbacaabbabcabaabbabcbcbbaabbabcababbabbabbacbbbbbbbbacabcccbbaabbbcbcaabaabcbbbabbbcbbbbaccabbacbaaccabcaaacbbbacabbabbbcccaacbacaabbccbcaabcbabcabbabbbcbbbabbbccabbccbababababbababbbabaaaababbbbaabacbcaaaabcbbabcaccbccacabacccbabcaccbbbbbbbcaabbabbabcbbaabbcaaacccaabcbcbbccbabaababacbbbccbcbabacabcacaabbbccbccababaabbacbbcabbabbacbabbccbacabccbbabbaabccacbbbbababbcbabababccababcbcbcabbaaaacbbcbcabcacaaaacbabbbaaababacbbcabbcaaccabaaababbaabcabaacbbbaaaaabbacbabbaaabcabcccbcbccabbbbabcccbbacabbabaacababaabbbbaaccbbaabbbbabccbbbaccbaabccbcbbbbcabacbaaacbbbbbaacccbbbcbabbbabcbabcbacbbababbbbbbbabbcaaacbaacabbaaacbababbacccbcaacbabacacbbccabbbccbcabbbbbaaccccacccabababacbbbcbaacabaaaacbcaabbbbcbbbbbcbbaabbbbbcabbbccbabacabcbaabbccacacacbbabcbaabaaacbbabbbcabacaccaabbabcbbaccacccbaabcacbbacacabcbcbbcbacbabaabaabbcbbcaaaaabbccbbbaacaacbabbcacccaacbabbacbcaccabcbcacababaaaacabbacabbccbbbcbcbaaaabccccbbbbcbcbbbbbcbaaaabcbbcccaabaccbccbbabababbababbabacbbcbcaccbbacabbabbaaaacabcabbaabbaabcbacabcccabbabcbababbbccbbcaccbbbcabcbbbabbaababbcabaaabbbcaababbabbbaaabacbbacbaabababbbbbbbbbbbbcabbbaacabbbbabbbabacbbcacbabbcbcaaaccabbcbbbaacbacbccbbaaccacbacbaaabacaabcacbbabaaaabaacaaaabcbbcaccccbbbcabccbbaaabbbbcbaaaccabcaccbbaccbaacbaaaabccabbccabcbbccabbbbababbaacccbccbacabcbcbcabbcaabaabbabababbbabbacaccaaccabcbcbabbcbbbabccaacbbbbbcaccabcbabbaccabbcbabcacbbcbaaaaaabbbbaaabcccbabbcccbbbbbccbabbbccbbccaccbabbbbbabbbbbbbbaacbbbcabcbbbcbcaaacaabbbbabbabcabbcccbaabcbbbabcbbacaaabacbbcbcacbababcbbbcbcabcbbbccccaabacccaabcbbbbbabbcbcbacbababbccbbcbaacabaabcccacbbbcbcabbbabccbacbcaabcbbbabbcbcbbbabbcccbccbbbcbbacbaaacbcaaaababccbbbaccabcbbacbbabbabbbbacaccbabccabcbaacaabcbbcaabbabbbabcbbcabbbcbcacaccbaacbbababcbbbacbbabbbccabbccaaabbbcccbcbbcccabcbbbbbbbbcabaabbcaacbcacbabacbbbcaabcbacaabbbcbbbbaacaacbcbbaaccaaacacabababcbbbbcaaaabcbcbcbcbbabaabcabbcaacabbbbbbabcbccccccaaabbbcbcbbbacbbaaaaaabccabbcbccbacbbbabcbacababacacababcbabacbcbbccabbcacbabbccbbcbbaccbcabbbbbccbaccbbccbbbaaaabaabbcbcbbccbbbbcbcaacbaacbabbccacbbcbcbababbbbcbccbabbcbaacabbcaaaabbcbbacbbbbabbbcaaaabcccbbabcaaccacabababbbaaccbacbcbcacbbacbcbcbacaccbaababbbabbbacbaacbbaabababababbabccbbbacaacbcbabbaababcaaacbabacabbaccbaabbbaaacbbbbbbabcbaaabcbbbabbcbbcbabbaabbcbcaacbbcbcbbbacbbabccacabbbbcbaaaabbaacbbcbbbbabcacbbccaaacbbbbcaccabbbcaaaaabacbabbaacabccabcccbccaaaabbccabbbbbaaccccacbabbbbbcaaacacacbcaacbababcbbacabbcbaabaaaacaacbccbbaababbaaabbaabbbbabbacbccbacbbbcbbaccaabbccacccaacbaacaacbbbcacabbcbbbbaaaaacbbababcaacbabbabccaabbaaabaaaabbbbbbbccbcabbbacbbcbbcccbbbabbbabcbbbcbccabcacbbbbabacbcbbbaabaccbbbbcaaaaacbbaacbcbaacbabccbacaaaaccccabaaaaababacaaaaaabcabbbacbababbabbbccccbcbbbbccbcbbcbbbccacbbbbbabaaabcbabbcacbcbbacaccbacaacbabbacbbbbaabbccabcbaabcbbacbababbcabbbabbaabccbacbaabacacaaabbcccbaababababcccacacccaababbbbbbcbcababbababbbccbbaaabcbccabbabccbbbcbbcaabbbccaabbbcbbabcabacbcabbacbcabaacabcbcccbcaacbabaaabbbbaaabcbabcbaccabbccaacbbbacaccbbbbabaabbbaccbaabbaccbbbacabaabcaabababbabcaabbabcbababaabacabbbbbbabbaaabcbacabbbbcccbbcbbbcaccbaacbbbbcbbbbacbabcacbabccccbcabbbacabcbbbcaccabccbaabbcbbbcbabaabbcaabcabacbbabbbbcbaabbcacbaaaaabcbabcbacbaacbbbacbbcbcabaababcbaacbbbaaaacabcabcbbabbccbcbcbcbbbbbbaaabaaabbbcbcbcbbbbbbaacbabbacaaaabbbbababbbbbabacaaabaabbabbbacbbcbbcbabbaaaabaccbcbabbcbbabbaaabccbbcccbabcbaacbaccbabbabaacaaccabbcccbbbabcbccbcbbbbcbabbbaabbccccbbaacccbabbabbbbbacbcbabbacabaabacbbabccbaacbbabaabccacccaabbbbcbbbaaababcacbbabccaabcbaabaaabaabcaacbbbccbbcababcabbaaacccbaabaababccaccabbbacabaacabbcbbcaaabbcbcbcbcababbcaabcabbbabbaacbbcbaaabaccaaabbcaaabbcbaabbbacaccbbbcabbaacabbabaabaababbabbaaaaacabbbcaabacbcbbabaacbccbbbbabcbabbbbbbabaaaababcbbcabbbcbabbcbbbbbbabcaacbcbbbabbabbaaacaaabbcaacccaccbbabcbccbbbaabaacbbcbbccacaabccbabcababbaabbbbccccaacbcabcabbbcbbbcbbabcabbabbbbcbbcaaaabbbacbcbcbabacbbccaaacccbbcbacbbcbbbaabbacabcbaaacbcacaabbcabbbcabbbcaacaabbaaaabbacbbcaababbcabbbaabbbaacacaababbbbabaaabcaaccabacbcbbcaaacbbbcabbabacacacbcbbbabbbbcccbabaaabbabbcabbbabbcbaaabbcbaccaacababaabbbbbbcaccbbbbcaacbcccbbababbcbcaaacbcbaabbacacbcabbbacccbaabaaccabcaaaababcbaabbaccbccbabbbbacacbbaabbabbaabccbaacbabcabcabacbabcbbbbabcaacaabbababbacabbabbaaabaabbbababbbccababcbcacbbbbaabcaaabbcabacbbaababaabbbaacbacbbacbacabbabbaaabcbaabababbbcbacbbbccbababcabcbacbacbcccbabbcbaccabcacbcabbbcbaabbccbbccacccabaabaabccabacbcaaabbccbccabcbbbbbbcacbacaccbcabcaabacaabaabbccaacabbcbbbbcbbcbcabbcccaaaccbbbbccabcbcccbbbaabbbcabcabbacaccabbcaabbacaababaabbbbacabaaacbabbaabaacbbabacabaaacabbcabaccbbcbbaabbaabbbacbcacababcabcabbbaabbcaccaaccccbabbbbaccabbaacbabbbbbaacbacccbbcbbbabbcbcacabababaacabbbbaaccaaacabbcbcabcaacbaaacbbbbaaabccbbaabaabbacbaabbaacbaaaaaaabaaacabbabccbaaccccbabbccbbaccbacbcccbaaabbcacbabcabcabaaccbcbbbaacaabbcacacbaaaaaaccbbcbbbbbacbaacbbabbbbbbaaacbabcbcbabbcbbcbbcbbbbccababacbbbaaabbbacabbbaaabcabcabbacbbaabcbbbcaabbacabbbabaacbccaaccbbaaccccbbbbbababaaccababababcabaabbbabbbbbaaacaaacacabbbaabacccacbcabacabcacccccbbbabaaaaabbbaabbbccacbbcbbccbcbbaaaaabcacacaaacabbabaaababcbbcbbbbbbaacacbaacacaaabacbbbabcbbcbbaacbccacaabbaabcbbbcbaabcacbcbaaccbbcabaacbaccabacbcabaabbbbbcbbaacbcbabbabbbbccaaccbabbbaabcaaabacbbbbacbabccbabbcbbacbbbabbaababcabbabbbabcccbbbaccbccaabcababbabcbaaabbbabbcaaabcbbaccbcabbbcbbbabbaccbaccaacbcaccbbbbcbabcacccbcaacacbbacbacabbacccbaaccbabbcbbbbbbbbbbabcacbaccbbabbbcabaabbaababccabcabbacbaabbbcbccbcbcacababacbbabbcabcbbbabbccaaababbacacbbbbbcbabcbacbbabbbbbbabbcbaaacbacabbbaababbababbacabbcbbbcbabcbaaabccacbbcbaaccbabbbabababcbcbabccbacabbccbcabacbcabacbbcbbcacbabaaabaabbbaabcbbbbaabbaaaabababbababbbccbbbbbbcbbabbbbbababcabcccbacacbcacbaccabaccbbbcaccbaababacbacabbaabbacbabbabbbbbbbaababbabcbbacaabbcbbacabacbabbcabbbccabbbbbaccbbaccbabcabcbbabbbbcbbabccbccabababababbccccbbbabcbbacbbbbcabbbcaaaaaaabbaccbacbbbcbaacacbcbbbcbbbbcbabbabbbcacabaccbbccacabcccaabcababbcbabbcbababacbaaacaaababbbaacbbacabacabaabcbbcacabaaccabbababacbbbbbcacabbaccbbbabcacaccbbcbcbabbbcabcabcacaaacabbaabacacabbbaaccbabbbbaacbcabaccbabbcbbbbbbcababccbbbbacbbaabbabaabbacaabacbccbbacbbbbabbabbaabcababcbbbbbcaccaaabbaabacbacbbabcabbcabbcbacabacbaaabcbacbabbbacacaabbaaccbbabbbccacacbacbcbccbbcbbbbaabaaabbbaccbcbabcbcacbbcbbabcaabbbcccbbbbbccaccbbbbbcbbabcccccabcbaacbabacbacbababbbcbcbbabcabcbbbbbacbcccccbaabbccbbbbbcbbbbababbbbcacbcbbaaccbbbacbbbabaacbcaaacbccbcaabbabababbaacbabababbaaabccbabababcaabaababbabbbcbbcbcbbaabcbabbabacbcbcbbaccbbbabbabbababcabcbbbcbcbbbbbbacbbcaaaaacabbbaabccbbccbbabcbbcbaccbbcabaccbaccabcbabbcbbbabbacbabbcbccaabbbcbacbbcacbbcbabbbbcbbcacbabbacbbbabacbcbbcbacaaabbacbbaacbcbbbbcaabbbabbacabbabbabbaabbbbcbcababbaaaaccbabbcabbbcccaaaccabbcacbaaabaaabbabbcbcbbaabcabbbbbcabcbbacbbccacababbaccbbbcbabcaabbababcbabbaabcacbaacbaabaabbcabbbccccaaaabbacbcbbacccbcbacbcabbbcaaabbabbacbbbbbbaacbbbbbabacbabbcaacbacbcaabaacaababcbabbaacbaccbbbacbcbbccabbbbbcbcbacbaaabaaabbbcccaabccbbbaabbccbbcaaabbbabbbbbabbccaaacccaacbccabcbbaaabccabbbacacbcababbcabcbbbbbcbabacaabbcbcaabababbaccacaababcacabaabcbcbbcbbaaaabaaabcabaaccabacababbaccbbabaabacaacabbaaabbbcabbbaccbbabaabcabbcbbbcbccabbabbbbbbabbbbbbcbcbaaaabcbbbbbbbabbbbacbababbcacbbcbbacbaacabcbcbabaaaacbbbacbbcabbababccbcbcaccbbcaacbaaaccabaaaabcacbabababcbaabbaabccbbaccaacbcaaccbabacbbabaababbbbbbbabbbccccaabbaacbcbabbbbccbcabbbbbcbcbcbacabacabcbcbbacabbbcbcabcbcbaacacabcbbcabaabbbabaccabaaaabbbbaababbcbacacbacbcbbabbcbbabbaabacaabacbaabbbbbaabbbbbabcbaabacbcbcacbabaaabbaaaaccbcbbabbbbbabaabbbbbaabaaccababcbcbabcaaaacbbbaaabaaaababcacabbbbbabcbbcbbcbbabaccacabcbbacbcccabcbacbbbbaabacbabbbabacbbbbbbcccccaaacaccbabcbbcabbcaaabbcbaabbbbaacabbabccabbcacbaabcababbcbaabcbbbacbaacbcacabbbaabccaabbbacbabaaabcbcbaabacabbabaccaaccbbcbbbcaabcbabbbbbcccbabbcbcacaccaccbbbabbcbbaaccacbcbbbbbbbbabbbbbabcaccbccaaabbbcbbbabbbbbcbbccbbacbbbbcbaaabbcbbcaaacbaaabbbaaabababbabaaaccacbabcbbabcaaacbababbcabbcbacbcabccaabbabbabbbcccabccccabbccaabaccbaaaababcbabaccaacbbccbacacbbbaaaabaabcbbccacbbbbbbabbacbabababaaaabbaabbaabcbbbbabcbcbcccbbbcabbbababaabbbbbcaaccbbbabcbccbcbbbcabacabbbabbbcacbbcbccaaabcccbaabccabbaaaabacbbbabcababaabbcacbbbbbbcabbabaccbaabaccacaccbbacbaabaaaacbbccabbabbabcaabbbaacbbababcbcbbcbacabaaccacccbbabaaabbbcaabaabcbabbabbbbaaaabaabcbababccaaaabbabbaabbacaccbababaaccabcbcabcabbcaabababbabbaabbacbcaacababcccaabcababaabbabbababbccbbcbbabbabbbbbbaabbaacaacccaabbabaacbcbbcabababcbccaaaaabbbcbccabccaccabbaabbbabaabccbcccaabbbccbbbbcbbbcbabbbabcbbbbbacaccccccacbbcbabcabababbbbaaacaabccbaabbbbbbbbcbcbbaacaaabbcbcbccbaabbacbaaaabbacccbccbabcaabcbacbaabbbaabaaacbabbacaaacbababbabbabbaabbcbbcbaabacccccabbcbaabbcbbbacabcbbbccbcaaabcacabcccbbbbbabbbbaabbaabcbaaaababbccabaaccccabcccbbbbbccbbcabbbcaabbbbbbcbccbbbcccabaababccaaabbcbbcbacaccaabaaacabbcbbccbacacacbcaacbcbbaabbabbbcababbbcccbabbbaaaacabaaaacabababbbacccbbabcbcabbcbaccbcbaaaaaabcbbcbacaabaababcaacccabcacaaaccabaacbbbcbcaaabbbbaaabcbabbaacacaacacacbbabccbccbacccabcacaaaababcaabcaabaabbbcaabcacabbabcbcbbaababbbbcbbcbbbbbcabbcbcbbbabbbccbabaacaccabacccbacbbcbbbbbbbabaabaccbbbbbcbbcbabbbbbbbbaccaaabaccbbbbcabacabaabbabbaabbacccbacaabbbbacaaabbbbcbcabaabcacabbbababbcbbbabaaabaabcaaaccbcabbabbbabbaababcbbbbbcbbbaabcacaabbababcbaabaccbabcbcbcbbcababbbababaaabbcbcacccbaabbcbaabaabababbbabccacbacaababacaaabbbabbbaabbccbcbcaacbbacababaaaccbbbacbaaabbbcbbccccbcababcabbbbcabbabaccbbaaaacaabbbbcabbcbbbbcacbcbbbbbbcbbacacbacbaabbcacccbbacbbcccbbbaaaacabaacbbabcaaabbbbbbcbababbbaacbbbbababbaaabbbbcbabaabccaaaacaaabcacbbbcbaacbbacbabccbbcabaabbccbabababbabccabaababbaabccbabbabbabccbbcbbcabbacbbabaccacbaccbbabbbcabcaaccabaaccbabaacbbbccbbbbbcbbbabbabaababbacaccbabbccabbbaccabbbbabcaacbbaabbbbbbbccccbbbbbbbbbbbbabcbcaacbccbbacacbbabbbacabbcbabbacabbcbaacaababbabcbcacaacbcbccacbbbbabccacbbbcaabbbbcbbbbaccccbaabbabaababbbbbacbacbbbaaaaaccbaabcabcabbbbbaabcbcbbbaabcbcbcaccbbbabbabaabcbabbbcbabbabcbbaccbbaaaacbbbbcacbcccabcbababbcbaabbbcaacabbbbacbaccbbcacbabbbbcabbcbaaacbbcbcbbcbbbbbbcbcbabcababbbbbbcaccacbaabbaccabababbbbcbbcabbbaacbbaccbbaabbbabcbabacbbbbbabbacacaccbcaabbabccacaabababbcbcbabbcbbcbaacccbacabaacbabaaacbbbabbcacbbbbcaccabcbbbbbabcbbabbcbbcbababbbcbababbbabbbbaaabaacaaccbbbcaaacbbcbbbaacbcbbcabbcabbbbaabacacabbcabcbacccbbccacaaabbabbcbabbbaabcabbacbcccacccbbaabbbcbbacbbaabbcabbbacbbbbbcbbcbcacacbbbbbcbbabaabbbabaabbabccccabacacbcabbacccccababbabbbabbbbbcbbacababaabcaababacaabbcbbbbbabcbacbbaabbccacccaacccbaabbaababbbcaabaabababbabcaacabcaaaabbaccabbbaabbbbbbbbbcbbcbacbaacabccabbcbcababbcacbbababbacbbabcbabbcabacbbbaabcbabcaabacaacbbbabcbbcbbbbccbabccbbcbababbaaaababcaabbbbbabaccbaaaabbcccbbaababaaaabbbbbacbabbccabbabcaaaabbbbabbabbaacabbcaaabcbbabaabcbababbbaacaabcaaaabcbbabccabbbbbaaaaaaaababbbbaaacbbaacabaabaabcacaabbbabcaaabccbabaaabcbcbcbaaacccbbccabcabacbabbabacbcbcbbaaccababacbbacbaccbabccbaabbbcbbbccabcbaabcabbbabcabaabbbbccabcbcaaabacbababcbbcabaccabcbbabbbbbbbcaaabbcaabbcabcccbcccabacbccbababaaababcacacacabbbbabbbacbaabcbbaababbbcbcacbcbbcbaacabbbababbabbcbbccbccaccbbbbbacbccaaaaabbcacbabcbbbcabcabbbcacbabccabbaaabaaababbbbbbbcabbbbacbabcbacbaabccbbcacbaaaccccbbaabbbaccaabbbcbbabbbccbccbacabccacbabbbccaabccabbcbbacacbbaccaaaabcbabbaabcbaabccababbbcabbbbaaabaabbbababacabcabccbbabaabacabacbabbacbbbbbbbacbbacbbcabbabccbbbabbcabbabaacbaaaaaacabbbcbcbbacbbabbcababbacbbbbcbaaacbacbbacabcccbbbabbaabaaaccaabaacbababcccabbaababaaccabcbbcbabcbbcabbccbccabcbbaabcbcbbbbbbbbbbcbbbaabbccccabbbbcaabbbacbabbabbaaaacabbbaabacccabbabaccbababcbaccaabbacabbababbbccbbabcbacbbaaabbbaabbabababccbbababbccabbbbbbabbbaabaabbcbbacbababacabaabaabbaabbbcacaabbbccbabbcabcbbbcbabcbacbcccacabbabaabbbccacbbbabbbabaaabbcabbcabaaccabbaabaacbacaaccbbaaabccccacabcbaaccbcbcaabbacaababbabaccbbaacacbabccbbbabbcbbabcbaabbaacbbabbacbabbbbbcbabbcbcbabcacabbbbbbaacaabcbbbbabbbbccaaaaccbbaabbababccabbbaacbbcacbabcbcbbccbbbcaababaabcbccacbaababbccbaaaabbbbcbbacacbccbcabaabccaabbbbcabbbcababacbbccbbbabbbabaacaababcbcbcbbabbcaccbaaababaaababbccbcaccbcbbbbcbaacbbbccbbabbcbbcbcaaabaabcabacabacbaaaabbbbccacaccbbbaacbbbabaaabcccbacaabaabbbccccaabacacbaaababbbaacbcbcbbabbbbbbabcbcacacccabbbbbaacbabbbbbbabbaaabacbabbabbbbbbbabaacbccaccbbcabbccbbcbcbbbbabababccbabbbcbbcaaacabccbabbaaabbbbbcabaabbbbccbaacbaaaaccbbcabcacacbbcbabcbbbbbacaacaccbccbccbbabbbabbbacaaabbaabababcabcbbcbacbacabaccaabaacabcabcbccbbaaacacbabbcbababbacbccaabbabcbbacbbabbcacbcbacaacbabcbbabbbcaacccbacbbcccbabbabcbcbbcaaabcabcabbabcaabbbccacbcbabbabcbbccbcbabaaabbacbcbacacccaabbabbbaccccabbbbbcaaabccbabcbabcaabbbaaaacbbaabbbabbbabccaabbcbbbcaabbaacaccbacabbbbbbcbcabababbbaabcbcabbcbaabaababcabbccbcbbbcaabcacbbbbcbbbbccbbbbabbbbbccbabcababacbccbbbbbccabbbaacbabccbbcbabbbacbbbbcbaabbbcaacabaaacaababaaaababaacbaabacbcabcbbbcabacbbbaabbaaabbacbbbcaababccbbbccbbbaccbaaaababacbacbbacbccaaaacbabbaababcbbcbacbbccccbbcaaabcbbbbbbabbaabbbbcbbbbccaccacbbabbcaaaacbcabbbabcbabcbcbbababcccbbbccbcbaabbcbbbbcccabbacbbbaaacacbacbbbaacaaabccbabcbcbabaacbabcaabcbabacbabbcaabbbcbbbababcbcccbabcbbcbacbbcacaaaaacbbbbcbababbbbbbcbcababacabccabacabbcbcabbbcbacbcbbcbababbcaabaabcabbabbabbababbbbbaababaabcaaabaababaabbbcabbbbbcbaabbabaababbbccccaabaccbaabaabababcaaabbabcbcbabbbbaacbbabacbbacbabacbcbcbacacbabaacabccbbcbabbbbbbbcaccbbbbbbbbcbcaaaabbcccccbbbabcbbbccbbbcacbbccaccbbacbbccbbbbbcbabbabbbbbbbccabbabbbcbccbabcbbaaaacabaabaaababcbbaccbcbccbacbbbbbcbaabbcabbccabbaccaababbabcbbccbaaabcabbbccbbcbcabaabcaabbcbcabcbccabbcabbbcaacbbccbacaabcbabaacbbacabbabbabbbacacccbbbbbbbccbcbabacaabbcbababcaabbcbbcbaaaaabbbcbbcbcababacaababcbcaacacbbacbbbbcccaaacbbaaabbcacbcbbbbcbbbaacaabaccababcabaacbabbacccacacaaacacbbaabbbaaacbacbbbbbccbabaabcabbbaaaabaabaabaabacbcacabbbbbaabbaabacccabbbabbcbcbbacaccccaabaacbaacacbccacbbabaccbbababbbbcbbabbcbcababababbcacbacbabcbabbaabbbcabbcbcbcabacbaccabbabbbbaababbcbababbabbbbacabcbccbaacbbabbabbbcbacbcccccabbababcaccbaabcbaaccbcbbccabbbbabcbacbacabbbbbbbccbbaccaaabccbbcaabbcabbbbbbacbacbbbabbbcaabccaabbbaaccbaabbbabaabacbbccaacbbbcbccacbaabbaacbabccababaaacacaaaacacaacbbbacaabbcbbbaaccbcbbcbcbccabaccabababcacabaaaacbaaacacbacccbabbcbbcbcaccbacaacabacbbbaabacbacaacbabbcccbccaabbabaaacababcabaabbaaabbcbbaabcabcbbcaccbbaaaacbcabbccbbabacabbbaaccabcbabbabbbaabbbaacabbbbbaaabbcbbcbacacabacbbaacaabbbccacbbbbabbabbcbcbcbbacbcaccabcabcbbccbaaacbbabcbabbabcbcbbbbbabbaaabbcabbccbbcbcbabbbcaabbcbaabaabacababbabcaaabbbaacbccaaacccbccbcaababbbcabbccbaaacbcccaabaaaabcabababaccbbbbaaccbbabbaccbbacaccbcaabcabbbbababcaccccaaacacccacbbbcaabccbbcccbabccbaabbbcbbbbaacaabbacbaabbcbacbcbbbcabaabaaabbbcbcaacbcbbabbbbbabbabbaabbaacbacbcbbbccbaccbaaaaaaaacaabbabcbabbbbbabcbabbbaaaabcbaacbbbaabaacccacbbbbcbbaabcbabbbccabcccbbcbbbcaacacaacababbacccbbcbbcbcbabaabbaabcbaabaaabccbbcaccccbcbaabbaabbbaaccbbaaaaccbacaccbacacbbabbabbbbaacbbbbbbabbabacacacbbcccbaccbccacacbacabaabbaabcaacaabcaabbbaaaabbbacbabccbaaaabccbbcbbbbbabcbbbcabaaacaaacbabaabbbabbaabbacbbccbcbabbbbcbbbcbaabbbaabbbbaababacbccccaaaacbcbbbbcbbbbaaabaaaababcbbaabcbbabccabbcaabbbcabacbbbcbccbcbaabcbbbaabacbbabbaabaccbcbccbccbabacbcbabccbbababbbcbabbbabababbabbabbcabbcbccabacbbcccbabbccababbbccaabbcbbbbcbbcccbbbcabbbbaaccabababccbacababaaccccbabbbbcbbbaccbcaabbcabbaacbbbabaacabaabbcbbababbaabacbbacbbcaacbbbbacbbaaababccaccabacaabaabbacbabccacaabcbbcabcabbbbaababababbccabcaaccababbaacaabaacbabbbbbabacbbbaccabbacbacbcaabbaabccccccaaccbbcaaacccbcabacaacabacaccabcabbaabaabbbcababbbbbcbcbbabcabbacbcabaabcaabbbabbabbabcbbbcbccbaaabbbcbbbccaaccbacbacbaacabaaacabbbaabbbcabbabababbabacccccbabbabaacbaccbaabaccbbcbbcbcabaacbbbbbcaccbaacacbbabbccacabccabbcbabcccbabbbbacaccaccbaabbbcbcbbbbcaabbbababaccbcaaabbbbbcccaccabcaaaaabbcbbabbbaababbbabbbbacbabbcbbbacbcbaabbbbbcaaabbcaacbccbaabcccbabababbbbacacbaabacaabbbbbbbabcaabbabcabccbbacbcbcacbaacacacccabbbaabababcbbbbbcaccaaacbbbabbbbaabbababbaccbbbbabababaabbcbccbcbccaaaacbaacabbabbbbcbacaccbaccbbabcccabbbbbbaccbabbbbbbabaaababbbbaabcbabaabcbcbcacbabcaaaacbabbbbacabbbbbbbcbccbacbcbcbababacabacacbbbcbcbcbbaabababcbababbabbbcbababaabbabbabcbccbbbacacaaccccabaacabbaabbbbacabcababbbbbabbbacacbbccaccaabbacbcabcabbcaaabacbbacbcbccabbbcabaacbaabccbbcbccababcbcabbccabcbbaabbcbccccbcbcabbbbbbbabcbbcbaaccabacccbcbaabbcacaabaaabcaaabaabbbabbbcccbcbcbcbccaabaabacabcbbabbaabccbbaaabcabbbaccaabcbacabbacccbabbaccabbbbbacabbaaaabcbababbaaabbababcccacbaabcbbaabccbacaababcabbbacbccabcccacbbccacccaacaccbaacaaacaabacbabbbbacbbcacabbccbbabbcacbbbbbabaaaacbaaccbabbbbbbbbcacbbacbcbaaabbbaaaabacbaaaaabbabacbacbacacbcaccbabbababbababaacbaabbcbbabbcbcccbacbbcbcaaaabaaabcabcabaabbcbbaaacbaacccbabbbababbcbbabbcbbbcbbbbccbbbaababbacbaacbacbaabbabcbccbcacbbbbccbacbbcbcabcabaacbcbbaababbbaabcabbcbabbccccaacbbcbaaabcbbbbbaaabaacacbccccbabcccbabbaabcccbbbaacbababbbbcabbbbcbbcbacaabbbbbbbbaaacbbbbabcbabaabbabcbacbcbcabacbbcbababcbbbbbaaacbacacabccccabcbaabacbbbabbcbaccbabbaccabacbbcbabbbacbaaabcbbbaababaaabccaaabaacbbcbacaacbcbabcbbbbcabcbbbacacacbcbbbccaccbcbccbccbcaacaacabaacabcabbacababaaabcacacaabbbbaaccabbcbcabbbacbbccbbbbbbbbbbaacbcbcacbcbabbccbbbaccbbcaabcabacabbabbbcaaccabbbacbbbbbcacbbcacbbacabaaababbabccbbcbbbbbbababbbcaaacbbbcbccbcababacacabcbbacbbaabbbbbacbbaababaabbaccbbbababacccacacbbaaaaccacaabbbcbaacabacbbbabbbabacabcccabbabbbbbcabcbbababcbaacacbabcababbbababaccbcabaabbbcbcbbbbcaaabacbcabbbbbcaabcacabbbccacbabbaababbcabbbcbacacbaacbbcabbbbabcabbbcccaacbcabbccbabaacbbbbccbacbbbbabbbaccbbaabcbaabcaabbaacacbabccccabbcaacbbacaabbbcbcabbbbbaabcccabbcabaaabbbbbcbccaabbbbbcabbbbaaacccabcbcabbabababbcbaaaccccabbbbabacbabbbaaccbccbcababbabbbbbabcabbbabacbacaccbcbabcbbbabcbcacbcbcaacaaabbacbaabbabccbcbbaabcccbbbaabaabbbbbcaaabcacbcbaabacbbabbacbcabcbaaaacababcbaaabbacaccbbbbbcbcbbbbbacbabbbbbacabbaaaacbbabbabbbbbcaaabbcbbcbabcbacaababbacabcccabaccabcbcaabbaaabcccbaabcbbcbbbcabbbbbabacccccbbcbaacababbccbaabcaaaaccbabaabcabbabbacabbbabaabbbaaabccacbccabccbaabaaabbabbaacabacbcababbacbaaacbabcbcbaaabcbbbcaacbacccbaaacabbbaabccacbaaabcbcbcaabbcababcaabcbcaccabccaabbabcaaababbccbacaabbcbbbaccbbbcbaabbbbcabbaacaacbaabcbcbaccbbcbaabbcabaaabbacbacabacbcbcbbabcbccaabbcaabbaccaabaababbbcabbcbbbbcabcbabbacacbbaabbccbbcabaacbbbbabaabacbbbcabcaaacbaacabaabbbbbbbbbabababcbbaabbaaaabaccaacbaaabcabaabbccbaccbabaaaabbbaabbcbaacaacccacbbabbabbabbbacabcaccbbabbbacbabbababbbccabababcbbbaaabbbbabbbaacbbbabbbaaaabacbcbcbbacaababbccababcabbabcbcbccaacaabbccabcbbbbbaaabbabcabcbbbabbaabacbaabaccbabaccacbbaabbbabbaabaacbbbbabbbaacccbcccababcacbababcbcbcbbbcbbabaacaaaacbbcbabbabbbacbaaabacbbbccbbbbbcbcbcabcbbcbcbbbbbbaaabababcabacabbbaabbaaaaccacabcbcaccacababababcbaccaaaabacbbbbaaaabcaaccccaacbcbabbbbbbbbabbbbccaaacbabbbcbbaaccbbbbcabbababbcbbcbabacbcbaabcaababbaaaabbccbcabaacbbcaacbbbbbbbacbccaaabbbabbaaacabcbbbbccccabbbabbabacacbbbbbbbacacaabaabbcbbbbbabbcabcbacccabbbcbaacaabbbcaabcabaababbbcaccabbabcbbcbbcbabaccbbabbbbccaaacbbcacbbbcbaaaabbcbcbbcabcaabcccbbbbabacabaaaabbcbbbcbabcabaccccaaaabbbabbbcbabbbcaabccaccccbbcabcbbbbcccbacbabbcbaabcbcbbcccbbabccababbaacaabbbaaaabacccbacbbabbcbabbbbaacacaaaabcbbcaacaaaaaabbbcabcbabcbbbbaaabbbbabaaabbbcbcaacbccaccaaabbaaaaaaabbbbaaabbbababcaaabbaabbaacbaaccbabcaabcaababbbccbbccabbabaabacbaccbbbbacaaabaabcbabccbbcabcbaacbbbaabaaaabababbaaaaabbbabcccabbabcabaccaccbcbabbbbaacbbbbbbbbcbcbbbbbcabbaababcbcbbabbbccccaaabbbbcccbacbbabccbccbbcbabbbabcbaaccabbbaccbbcbcbaabcbbccbacccbacbccbababbbabcbbcbccaaabcbbbbbbaacabbcabccbabbcbcaabbbbbaaabcbaaabababcacabcbaabbcabcbbaccabaccbbbaababaaccbcccacacbcaabcaabcbacccabaccabbbacccacbbbbcaacbccababbcaaabcccccabcbabcbbbbcbbaaabbaabbaacbbcabbbacbaabbcabbaaccbabacabaaabaacaabaaaccabaabaaccbaaababaaabbbcaaaaaacacbcbbcbcabbbbbbacbbababccbaacbbbabccaaccaabbcaaaacababbabaacbbcbcbccbaabbbbbbcbaaaabcbccabbabacabbcabbbbccbbaaaacaabbbbacaabbacbbbabbbcabcbccacccabbabaabbbbccbcaabaacaccbcacabbabbbccababbaacbbbaaababbccabbccaabcaccaacbbccaaccbbbbabbcacabbacabbcbabbabbbabcabaabcccbacaabcbbcbbcabacbbbbcbbbbaabbbbbaaacbabbbaaccbcabbaacbaaaabacbbccbbbacccabaabbbaabbbbabacbcbaaabcbaabacbbbbbbbbbcbcbcbacabcbcbcbabcacccacabaababbcbbcaabbaacabbacbabbbccbbcabccacccbbccabcbaaabbcabcbababcabbaabbabbaacabcacaccbbcbccabbccbbaaabaacababacbbabbaaccabbbbccaccaabaccbacabaaabbaabaabccbbbacbabcaccbbaaabccbacbcbabcabccbaabcbaccbacbaabcccbbcbbcaabaacbbbcbbbababbabbaababcababaaabbacacacbbbbabcacbbbbabcbaabcacaaaabaacbacaaacacbbabbcbbbcbabbcaacbcaccaabbcbabbcacbccbbbabbababbaabbcbaababbabbcbabcacabbabcacbcbababcbcccccbbbbbaaaabbbabacaabbbbbbbabbbaacabcbbcbcbbacbccababccccaabbcabbaaacbccbcbbbbaacaabccbacacabaabbabaaaabaaacabccaacabbbbbbbbabbbbcbaccacbcaacccccbbcbbbbacbabbaababccbbbcabaabcbbabcabbababbbaacabbababbcbbacccabaaabbacccabcbabbabbcabbacbbcacccabbbaccbaaacacbaacabbbbcbbbbaacbbbbbcabbccabbacbbcbbabbbbacbbcbabbbaccaacbbbbbbccacacbabcbbbbbbccbcccbbcabaacbaabbbaacbbbbcabacaaaaaabaaacbcabbcbbcaabbcabbbcbbcbaabcbacacabccaacacabbbabbabbbaaababbabbbbcbcaaccbcccbbcaacbabbaccbbcbaacaaabababcccacababaacababbacbcbbcacbbaabbbabcbbcabbbcbbcabaaaaacbbbbbacabcbbbbbcbababcbaaabababbbaabbcbbccbaccbabbbbabbcaaabaccbbacbabaabbcabbbcbbacabcaabacbbbccabccabcacbccbbaacbccbbbbccabaabccaaaabacbabbaaaabccbabaaaacabccbaaaccabacccbaacbbaabacccbbbbcabcabbbabaabaaccabaacbbabbababacbbaacbbccbbccabbbcbbcacacbaccccbbaaccbcaababcbcbcccbabbabcbabcbbbcbaaaaaaabccbbbcabacbabcccabacacabbacbbabbbcbccabbcabbababcbbccbbbbbbbbbbbbbbbabacaacbcbbcaabccbbcbbbbcccbcbcbaaacbcbbcabcbbbccbbabacbababbbcabaabbbabaabcbbbbbbbcbcbbbbbabbbcaccbaababbbabbcacbbcabcaaabbbabbbabbcaccbaacacccacbabbbabcbcccacaabbaaabcabcbbbbbbbbbaabbbbabacbbccababbbbbbbcbabbbabbbbbbbcbbabbbbbbbaaccbccbbaccbababcbbacababaaccacccacccbcbbcccabbabcbbacacbbbbcccbababcacbabbcbaaacaacbccbacabbcaaababaababbcabbabbabbacbbbcaabbcabbababaaaaccbbbbbabcbabcccbbaabbabcbbcbabbcbbaccababcabcbcacabaabbbabcbaacbaabcbabaccabcacbabbaacbcacaabbcaabbccabcbbbbabbbbbbabcacbbbabacbbbbcccbaabbbbacaccbbacbccbbababcbbbbaacbaacbcbcabcaabbabbcbacbacbbcaacababcbbccbbacbaaabbbabcaacabacbbcbcbccbaabbabcbbbcbaaabacbcccbcabbbacbbcbaabccbaabcbbbbbcaacccabcbbaaaabcbcbbaacbacbaccbbbbcaabacbbbcaaaacbcabbbbbacabcbbcbccbbcaabbbaccbcbabbcaaacbccacabbccabbcabcbaacbcbbcbacacbabbabcbacabacbbacbbabacbacbcabcbcababcbbabacaaaabbbbccbbcacbbbacbccababcbbbbbcbbacbbabcababbaaaabccacbbabbababbcbcabacabcbbabbabacbbbbbbabbacaacbbaacaabccaacbaccbbabcbcabaacabaabcbabaacbcbabaabbcbaabcaabcaaacccabbbbbccaaabbbabccbacbabaabcbcaacbcccbbaaacabbbacccbabbcabbaabacaaaacbbbacbbcaabbcccbbacabccabbbabababaccaaaaaabaaccabbcbcaaacabccbaababcbcbcbbbaabcaaacbcabbccbbbabbabaaabbcaccabbcbbacabbcaacbaacabaabbabcbbcbcbaaaaacccccbacabccbccbbbabbbcaaaaccbacaabbbbbcbbbbbbbbcbbaabaaaabaccabbbabcabcbcbbabbaccbacaaabbbbbbbcbaaccccaccccbaacbbcacbaaabcbcabbcbcbbbbacbbbbaaaacaabbacbacbaabcaabbbbbbabcbaacabacccccaabacbccbccaccbbacbbbaabbbbcbbbaaacabbbccbcccbbbcbbaabbbbcaccbccabbbbabbbcccbacacbaaacbcbbcbbaccbbbbbbbbabbbabacacabbbbbcbbabbbabcabcccaccbababbbabbbbababbbccabbbbabbcbcbbabaabbccbabbacabbbbcabaacbcbbccacccbbabcbccbbbabbbaabaabaacccbaccabbcaaccbacaaccccccbbabacbcacbaacbcbcacabaccbabbcabacbbacbbcbabbbacacaccbabaabcbbcaabbabacbbbaacacabcccaccbabbbbcbbcaabcbbcbccacabbbcabcbbbbbbbbbccbcaaaaabcacbaaaaccbbaababbabcccaccbccacabbaacbbbbbbaacbcabcabccbcbbaccbbacaabaabbbbcabcabcbcbcbbabaccabbabbccabaabababaabccabababbcbbcabbabcbacbcabbbcbcababcccbbcbaacccbcbabacabccbbababbabbbbbbabbcbaababaacabccacbcccacbbbbaaabcbaabbbbbbaabaacabbbabbbbbbbcbacabbaaababaabbbbccbabcabcbccbbabacbbabccbbabcabaaaaabacccbacbbbbacabccbcbbbbcacabcacbaaccaacbbabbcaaccaabaaaabbcabbcaabccabbbcaccbccbabbbbaabbbcaabaabbbbcaccbaabbbbcccabbabaacbaacbbcabcccbbbbbcbacacabbababaabbcababcacaccacccaccbbbccbbcaabbcbcaabaccbbcabcccbcabbcbbcccbaabcaabbababbbbaaababaaabbabcaacabcccacbcbbbcbbbabbbcacbcccbbbbabbcaaabccaabbaaabbabaaaabaaabbacbbabbbbbbbababbbabacccbbbacbbabacabbcbbacbcabccaabacabbbaaabaacbabbccaaacaabbbbbbbbbabbabbccabbaacabbaabbacabbaabccbacbbbccabcbbbbbbacaacbababcabbabbbbbcabaabbbbcbbccbabccbccacbbbbcbbcbabcbbcabccbbbabbcabababbababbcaaabacccbaaaaaacbabbaabbbabaacabbacaacaaccbbcababcbcacbcaaaaaabbbcbbbabbbbabacccaabbbccbccbbcbcabcbaccabacbccaaababcbbaaccbacbbaabacabcacaaacbbaabcbbbcaaabbbcabcbaabcbacbbbabbbbbbbabcabcbbacbbbabaaccbaccbbcbaaaccbbabccabbcbabbabbcaababbaabbacabbbabbbbbcbabcababbaaacbbaaaaaacccaccbabbbbbbbccbbcaaababbcbacacabbbabcbaaacaabcbbcacacbbacaaacbcccacbbaacbbbcaabbcbccbbabcbaabbaaabaacccaabaabcbcacabcbacabaaaaaabbaabaabbccacababaacbcacccacbbcbbbbccbbaccccaaabbcaabaacbcbcbccabbabbbabbcbccbaacaccabaabacbbbcbabcaacabacbabbbabcbbbcbbcaacccabaaacbcabaabbaabbbbbbaabccacbcccacabbacbabbacaabbcacbcabcaccaacacbbbbcacbbacbbbbaabbacabcbacaacacbaccaccbacbbbabaacbcabcccbccacbcbaaabbabcabaabbcbbabbbbcbcbbbcbccbbababcacbaabaaaaacababcacbabaacababbbbbbbabbbaaabbbababaccbabaaaababcbaabbaabcabbbaabbbbbccacaaacabbbaaccbbababcaabbbbcabbaacabcbbbbbbaabbbbbcbcacabbbbabababcbccbbbccaaababbbbabbbbbbaaccbccbbcbbbccbbacabbcaccabbbaabcbaabbbababcabccbbbbcbbcccaabcccaabbcabccccabcabbaaacbbabcbccbbabbaacabacbabbbabbaccababbabababbbcbcbbbabbbcbabaaabacbcbcaaabbcabbcabbbcbbbbcbacbacacacbbcccbabaaaacccbcbabbabbcbabaaacbbbcbcbabaababaabbaabcbbbbcbaccabcbbaaababccaccbbbbacabbccbcaabacbabaacaaabbaabbaaabababaacaacabcabbbcccbabcbcbccacbaaabbcbbbbcbaaaabacbaaababbbabbbababcacabbaabbbbaaaccbcbaabbcaacbbacbbbcabbaabbacbbbabbabbbbbacbcacbcabacababccbbaabcbaabcaaccacaacababaaababbcbbbabaabbbacabcbbbcbcbacbacabbabcbbaccababbacabcaaabacabbabcbabababacabbabbbbbaacaaaaabaabbcbcccaccbbbcbbccccaabccbbbccacbabbbbcabcaacbbbaaabbcbbbbcabcccbbcabcabbcbbbaabcabcaacbaacabbbbbcacccacbabababbbbbcbbababbabccabbabcbaababbabcbaabbabcbaabbaaaccbbbabcabbbacbababbbababbbcaabbbcbbcbbaabcccbbaaaababcababbbabbabbbbbcacccbbbcabccacaabababcaacaabbacbbabbabacbbbbababccbaacaabbbbbaabbbcbaabbacbacccbbabaccbaaaaababccacbabbbbabbbabccabaacbababcbacbcbbbbbabccbacabbbaabbbaccbbabbbabcbccbaabcbacbbacbbbababcaacbccabbacbbbbbaccbbbbaabbacbbbbcbbbbbabbaacacacccbbbcbcbaacbcbbbabbcaabcbacbcabababbcaacbcaabacbacaabcacbaccbccabacbbcbbbbacbbcbbbcbbabaabaabbcbcababbbbacabbcbaabaabbbbbbccbbcbcababbcbbbccacaabccabaacaacacabaabbcabaaacaccaccbcbbabababcbcbccbabbabababcabbbbbaababbabcabbbbbabbcacccabbcacaabbbccccacbcbbccbcaabbbacbaaacaabbbbaababbbbbacbababcbbcbbbbcbcabcbaabbbabbbbabbcbbcbbbcbcabbbacaababbcccbabbbabcbcbaabbabacbaccbbbcbbabcbbcaaabaacbaaababababbbbbbbbccbbbaabbbaaacbbbcabacbbabaacacacbaabbbacbcccabbbacaacbbbabaabccaacababbbbacbabccacbbbbbbabbababacaaababbbaccabacbaaababbababbbaaabbccbccabbcbbbaabbbacacaccabacbcbaaaaaabaabbbcaacbbbbbbcbacabaabacbbaacbaacaccbabbbcaabacabbaaabbbbaabacabbcbccbbbbbcbaaabbbaaaababababbbbbabbccabcbcbaabcbabbbacbaacbcacabbaabbacaababbaababaacbbbcbababbbaabcbccacbcbbbaccbbabccbbabbbbbabcbacacabbabccacaccaaaababaaaacbbabaaacacaccbbbcbacabbbabbbbcacbbbbbcbacabcabbacbaaabbbcaababaababaacbabcabaabccbccbbbbabbbbbaabbcacbababbbabaccccaaabbaaabccaabbbbabbcccaaabaababbaaabcaacbbcbbabbabbccbbcbbcbabbcabacbacbcccbbccbbbaccbbababcbbccbbabbbbaababbaabbbbbbbbbccabbbbcbbbcbbbacabcbabaaaaccbaacacbcacacccbcbacbbbbccbbcbccbcabcabacbcbaaabcbcbbbbcabbbaaaaababbaabcbacacbabbabcbbabbbccacaababcaacaaaabbbbbacbcbbabbaabaaabbbbbbcbbbaaacbbbbcaaabbcabacacaaabbbaaacbbbbacbabbbbbbbcbabccabbbbbccabbaaaacabaaaabcccaabbbbbcaabacbbabbbbcbbbcbbcababbbabaaabbabaccbcbbabaabcabccbbababcbcbbcbbbbaabcccbbcbccbacacabbcbabacababacbcccbbccbcaccccabaacbcccabbbabababbcbccbcbbcacacccaacaabaaabbacaaaacaaabbabacbabacbaaacbccbcbacabbabcbabbaacbcbcabbbabbcaacaabcbbaababcbcbacbcbabbbaabaabbbabbcaabccabbacbcababaacbccabbabbcbbababbbbbbbcacabaaabacaacbbbaccaacabbbabbbbccbbbbcbcbacbbbbcbbbaacbbcbaabcabcbbcbbcbbabbbacbbabbaabaaaacbcaabcabcbaccabaabaaccbccbbbcbaccbcbabaaabbacbcccbbabababbabcbbcaabbbbabbaabbbcabbbbaaaabbccbbcacbaabaabbbcbabccaccbbaacbbacaaaaabbbbabacbcbccaabbaabbabcbabacbaacbbbacbcbabbaabcbaccacbcbabcbaabbbbcbabbcbacabcbabcbbbaabbbbabbbcaacbbbbbbaaaabbbaacaabbbaabbabccabacabbbababacbbbcbbbbbbcbaaababcaaacbbcbbcbbbbbbccaaccbaaacbaaabbbcacbccaaacacbbcaccbbbcbaabccccaccbcbcaacbabccbbcacccbaabcbbbaaaacbbcabababaabbacbbaaaabcaabaacbabccbacccaacbcbbbbababbaabbbacbacaabaaccccaccaaaccaaacaabbabccbacbabbbbbbbbbbbbbaabaacbbaabbabcabbbacbcbbbbcbbbabcbbbbabbabcabaaaababbabbbababcaabcaaaaabacababbcabacaabababcaaabababbaacbbcacaaaaacccbcbaaacaabcbbbbbbccbbababbbbaaaacbbbaaabbbcbbaccacbbabacaacabbababbbbbccbccaabaacaaacbaccbaabbcbbababaccabbbabcaabbccacbbbbbbaaababbbbaaabbbabbbbacacabcbcbbccaaabbbabaacbabcbbcbcbbbbcbcbabacbaaacbbabacababbbbcabbbbabcbcbabaababbbaaacaaabbbccbbabbbbbacbaaacbbabaabbaacaaacacccbcbaabbbbbbaababaabbbcaacaaccabacccbabaacaaccaacbabcabccbacaacbcbbbcababcbaaacbbbacbbbbcaaaabaaaabaaccbbcccbabbabacabbababbaccaaccbbbaaaabbababaacaaaabcabbbccabbcaccabababbabcbcbbcacaababcacccacaabbbaabababcaaccababcaaabbbbbabbaaccbbbcbaccacbcbcaccbbbcbbbaababababbaccababbbaaccbabbbbbbbbabaaababbcbaacbbabccaaacaabcbbccbaacccaacbcaabbbacabbcbbabacbcaaabbaaabbcabbbabaacaabbabbbabbbbcccaaabbcbbccaaabbcbbcbbbbcaccbbbccabaababcccaaaabbccccacbbcbaccbbbaababaabaabcaacaabbcbbbabbccbabcaaabbbaccbcaaabcaaabbbbcbccbacaabbabbbcbbbbabbcccbbabcbaababcabbcabbaacbcbabcbbbacbabbbaabbcabbbbbabcbbbbabbbabaabacbaacbcaacbcabbbbbcbcabbccabaacbabbbbcbcbbccbbaabbbabbbcaaaacabbbaaacccbbbcbbccaabccabbaaababbabccccabbabbcbbcbbbccabcbcbcacbacacabbccabaaababbbbbcbaccabcccbabacbbbccbcbbaacacbcbccaabbbababbbaababcbbcaabbbaabcccaacabbaaacbccbcbbcacbbcbacbccabcaabccbbbabbbbbaaccbbabaacabbcbcabbabbabbabbcbbbbbbbbbacabccbbbbaabbacbcbbbaaabbbccabbcaaabccabaaaaabcbbbaaaaaacbbccabaabbcbacbabaabbcabbbabaccbcabcbaccbbbaaccbcbcaabcbcabbcbccababbabbbbcccabaaacabbaccacaccaabaabcbcaaababbaacccacabaaaaabaccbbccbcbbabbcbbcbcacbbbbbbabbbbbbbcbcbbccbbbacbcbacbcbcaabacbbcccbcccbbaabbacbbcbabbbaabcbbbbacabbbbabbbbccbbabbcbbbaaaaabbababaabaaacacababbbbbbccababbcbcbbcbbacacbcababcbbbbbbbbccaccacbbacaaababcbbbbcbaacacabbcbabcbbbabababcabbcbaabbbcbbcbccbbbbcbcabacbbcccbbbbbbbacbbcbcacacccaabaabbacbcababcabbbcabcacbbabaabccbaabaacacbbbbcbacbabbbaabbcbaccbcaabababcbcaabcabbcccbabccabaabbacbaaccccbbcbbbabbbcacabcacaabbcbbbbbcabacacbaaccbbbacabbbaacaacccbccbbaccacbaaaaaaccbcbbbcbcbabacbacbbcccabbcbcabbaaccbbbbbbacbccbcbacbbbbcccbbababaacabbabbaabbcbbcbbbccacaabcaaaaabaccbbbcccbcbcaababbcbaccbcbbaccbcbbacbbcbbaaaacabbcabababcabbabbbababccccccaaacbbabbbbbcaaabccbacccacbbbbbabbcaaababbbcbcaaacaacbacbabbacbcbaacbccbabbcacbcbbcbbbabbaabbaaacbcbbacbaaaacbbcacaababbbbbacbbcacccbcbbcabcbabbcbabcccacaabbabaacbbabcbbbaccabcaccbaacbaaabaababacacabbccbcabcaabcbbcababbcabbabbabcbcbaaaaacbabbaabccaacbacabcbaccbaabaabbaccbccbbbcbbbbbaabcbbcaccacbbabcacaacbcbbcbacacbcaaaacaaabbbbccbcbbbccccbcbccbbabcccbccbacaabbccbacaaabccbbcbccabcbacbbbababaacbbcbbbbbacbbcaccbbbbbccaaabcbbabccabbbccbbcbabbcabcaccaccbbcbcbcaaabacaccbaccaabacbabcbbaccabbbccccbcccabcababbbabbbababaabcbccbbbbaabcbcbaacccbacbbcaaabababaaacbbaaababcbaabbacaacababaccbcbbacbbaacbbaaaaaabaabbcabbbbacaaabcccabcbabbbabbcabbaccababaabbacbbcababbaaaacababbcbababbbabbccacabacbbabbbbcbbaacabcbcbacabbbabcaccbbaabaabbcbbaaaaaaaabcacacbababbbbbbaaaabbbcbbbbcabbaabbabbaabacabcbcaaaaaabacacbaaabbbbbbcbcccbbbcabbbbbabbbbbacacbbbcbcabbccbaabbccaccabccacbabacaabbbacabbaabbababcbaaaababbacabcacbaababcccaaaaabbcbaccaccaabbcbaabaabaabbbbbcbbaabcbabaabbbabaabbaabbacccbabbbccbbbcacaaaaabbcbbcbcbaccbbbbcaabcbccbbaaaccbbccaacccbababbacabbabccaacbbbabbbbacabbabababcabacccababcabcbcaaabbbcbabbbbcbbcaabbaaaaaaaaacacacaacbbabaabaacacbbaabbcacccbcbbcbbbbbaccbbccbbabcbaaacbababbccbaabcbbccabbaaababcacbbbcacccbaaaacbbbbabacbbacaaacccbaacabcaabbbbbcbbaacabbabbbccbbbcabbbaaabaaaababcbaabaabbbabbbbcbbcccbbcbbabcabcbbcbabbbccabbabbaabababacababbcccbbaabbaababacbcaacabbbaacccaaababbacaabaaabcabbbacbcabaacbbacbcabcbacbaaaaaabbaccbabababbbbccbbcaaabababababbbbabbccaabccabbbbcaabbbaaaccabbbccbbbcbacbacaaacacccccaaaababababbcbbbcabcbcababbacbacabbcaccbbbaacbcaabbcbbbaabbabcbabcabaabccababbccbbcbabbbacaccabbababbbabababbcbaacbbacbcbaaacaabcaccaccccbcaaabbbcbbcbbbbbcababbabbcbbbbccbcccbbccabcbabbbbbababbacbaaabaccbbbaaaabacbaccabaababaabbbabbbccaacacbabbcbabbcbaabbbcbbcaacbbbcaabbbcbbbbcabcbcbcbcaabbbbbccbcacbccccabcbaabcbbbabaabcbcbccacbcabaaaacabbaccbaabcbbbaabcccabbbaaabbccbbcabbbbcabaabbbbbbbbbbbacbcbaacaabacbacbaaaccaabababbbbbbcbcbbcbbbcaaacaacbbabacaccbcababbaabcccbbcabaccbcbbcabccbbabaccabababcbcabaaccaaaaaabcabbbaabaccccbabacacaaabaacaaaabbcbccbabbabbbaababbcabcaabbbbcbaababcaabbacaacccbbabcabbaababacababaccbabbbabbbbaccbbbbbbcabbaccabbbbabaaacbaaaccaacbcbbcbcacccbbababcbcabbacbbcbaccbaaacbbabcbaacabcbabcccbacccbacbbcaabcbabaabaabaabcbaaaabbccaabbcbaacabcbbabbcabbbaabbbccabbbacbbacbabbcabbcaabbbbbabbcbccbbabbbabaaaabcbbcaacabcbcbbbaaaabbcabacacaacbabcabcbbbccaabbbbacaaabbbcbbcabacbcbabcbabcbaaababbbbacbbbaabcbbacaaababbcbcbbcaaccaabaabbaaabbaabbcbabaabaacabbbbccbbbacbccbacaaabbaccbbbcbbacbbbbabcacbaabbabbbbcabaaabacacbbbabcbccacabbbbbbbbabaaabbbabaaabcbacbbccbbbacbccaabcabbcbcababababccabbabcbabcaccacbbaaabaabacbcabbabbbbbcbbbabcbcccaccbbacbbcabbbacbcccbbbacbbcaaccbacbbaacbaabbcbbbbbaaabcabacabbbababccbbaacbabbcbaabbaabcaaaccbbbbccbaabcbaaacbaacbbacbcbbbaccccbacbcbbaaabbacccabbcccabaccababbbbcbbacbcabacaabaabcbbccaaaabacaabbccbcbaaacabbabcbacbbcababbbbbbbbacaabccabbbaaaaacbbacbbbabbbbcabcacbacbbaabbbaabbcbaccaabbbabbbcbbaabbbcbbaaaaacaccaabbcbabcabbbbbbbaacabcbbbbcbababaabbbababbbbbbbbcbcaabcbbbbcabbbbbacbababbbbacbbcbcbbbccaacacabbbbccccbababccaacbbabcabcbbbbbbacccabbbacbabcaccaacbccbcbbcccabbbccabbaacabcbcaababbcabcabbabbcbcbaabcbbacbaabbcbacaaaaaccbbbaacbbacaabbbbaaabbacbbbabcbaaabbcccacbccacbbabcabbbbccbbabbaaaaabcabcbacbabaaabbcaccccabcabbbcacbbcabbccaabbacccbcbbcabcaabcbbcbbcabacbbbbbbbbabbbbbcabcccaccbaccabcbccbaabcbcaccabacabacaacacabcacbcccbbbccbcbaacbaacbbacccbabbbacbbcaccababcbccacabbabaccabbabbbbabbbbbaccbbccccbaaccbabbbaababbbbbbacbcaaaaaabacbaabbbbababcbbcabababcbbcbcbbcbcbbabacccabbcaaabcaababbbcaacbbababaccabaaacabbbcacbbbbacbbcbcbaabbbaabbbcbaaacaaabcababbabaaaacabaaababacabcaabbabbbababbabccabcbbccbbbbbbbcbbabbbccaaaabcbbbbbabacbcbcbbbaabcbabbabcbcbccbbcccaaaabcbbbaaaacabbcbabbacccbbbaabababacbabbababbccbbbabccacbbbabccbcbbbbcaabbbbbaababbbabcbabcbbaababbbbbabcbbbcabbabcbabaacccbbabcabacacbcbbbabbababccbbbabcbbcbcacbcbcbaaaaaccabbabcaaabbacabbcbbabbbaabcccbbcbcbbbabacbbaaabaccbaacaabcaabcbcbbbabcaacbbccababccabacbacbabbbbbacbabbbabbccbcacccbcabcbaacaccbcbbcbcacbabacbcbaaaaaabcbacbacababacabaabacccabbaababcaababbcbcbcbbabbbcbaacbaacbbcbcabcaabacbcbbbabaacbcbbbbbcaaabbcbbcbabbacbcbbbbbabaaabbabbcbcbbabacbbccacbbbccbbccacbbbbabbccbbcbaacbaaacbcabaabaccabaabacaabbcbbbcbcbcaaaabababccbaabaccbccbaabbccbbbaccbaacabaabbaccacbbbcbaabcbbbbcbbccaabcbcabbcbabccbbacaacbbaaabbbbbaabbbbbccabbbbaabbabbcaababcbaaabbbacaababacbbababaacbaababccbacacbabcababaaabbabababcabccaccabaabbbcbcabbaacbbabbacaaacbbaacccacabaaccbaaabbbbbcbbbbbccaabbabbcbbaaccabcacbbaabbccacbabcbacacbcbaacbabbaccabbcabbbabbbababbbbbbabbccbbcbaaacccbabaababcccbbaacbabbbaaacbababaaaaaabccbbcbabbbbcacbacbaaacbbbbaaacbaaccacbccccabababaccbbacabbcbbccbcabaacbbaaabaacbabcabbcbaccccbbbaabbabbcbabbbcbccaacbbbcbcbbbaacaacaccbcccccbbbaaccccacbbbbbbcbccacbbbbcabacbcbbcbcbbaabcabccababcbabaabcacabbbaacbacabcbaaccbabcabaabacbcabcacabcbaaaaacbbbbccbcbcbabbccacccbbbabaccccbcaaabcbcbbbbbbabcbacbbcbbcaaaaabcaacacacbaabccabacacbcbabccbccbbcaabcbabcabaccababbccbbbbcababbabbbaccbbbaabacccccbabbaacbbbbaabaabcbbbbbacabccbbababaacbcaccbbccaabcccbbbbbbcacabacbcabacaababcbbcacabbbacbabacbbbabbabbabcbbbbaaabbbbaabbabaabbbaaccbbbbbbbcbbbabbabcbbbbabcaaababbbacbcccaacbbbbaaacbcbacacaabbbababacbaacbbcabcccbbbababbcccbbaabaacbcbbabbbababccbbabaaacbcccabbaaaabcaccbbbabbcbacacbbcbacbcbabbbaaaabbcabbbccbaaabbbbbbabacbbabbcbacbaaaaabaacaacabbaacaabbbaacbaacbcccbcbabbbabaabbabcaaabbcbcbaaacccaacaabccbbbbaaaaccbbbbcbcbcacabaabbabbaccabcabccbbcabacbccccaaaaabaaaaabbcbbbbbbbcbbabbabbcbbaccbbcabbbacbcabbacaccabbaacbabbcbbababccccbbbbbcbcabbbabbbcbcaabacbbaabcabbcaacacbbbccbacccbaaabaccbbbcaabbbcbabccaaaacbbcabcabbbbbbaaababcbbabccbaabcabcabcbbabcbbababbcbbbbcabaababbccbcbcabaaabbccbbcbcbccbaabbcabcbacbcccbbbbacaaccbbcaccaabbbbbbcacaaccabacbaacacbbcbbccbbcbacaabbcbbacbabacbbbbcababacaaccacbabaaaccbbababacacaaacaabbbbcaacbbabbbabacabbbbaccbcabcabacbbaccaaaabcabacbbbcaabcbabacababbacbbccababbcabaccabbbcbbcbbbcccbcaccbaaaaacbabbcbaabbcabbbcbbbaabaaabcabbbcaababcaccbcccabbaabbccbcbcbbbccaabbcabbbcbcabbacbacbabacaabbacaabacbaabbcaaabbcbbabbcbcababccbcaaabaaabccbbbabcccbcbaabaabbbccbacbbbababbacbaabbaabaabbbcbaaccbbabbbcabbcabbbabaabacaaaaababaababbbbcbbaccabcaaacaabbabaaacbababbaabbbbcbcbbaaccbbcbbbbcabcaacaabbaccbacbabcbbaabbbabcacaaabbbcabbbcbccbcaabccbaabbabbbaaacbcbabacbbbbaabbccabcabbacacabbacbcbaabbcaccbcbaaaaaaabcaabcaccababccbbbcaccabbbabbbbbabcaacaabcabacbbbcbabbabaabbcbbbcbcabbabbaaabcabbcbababbccbbaaaaccbccbccbacbcabcbcaabbbbcbabbcccccbabcaaabbcbcabaacccccbbabbcaaccbcbcaaabcbbaababbabccabbaaabaabcaabaabccbaccbbbbbabbbbbbabccaabbbbabcacbcacaabcabcbbabbaccabbbbcbbbbaaccacbabaabcabacbccaabcabbaacbbbbababacbcbbbabbbbaacccbcbaaacccbbacbababbaaabacccbbbabcaababbaacabbbabbbcbbbabcbabcbacabbcbbacbbabbabacacbbbbcbacbbacababbaaabbbbbcacbaccbaabbbbaacbacabbacacaaaabbbbcaacaababbbbbcabaaabccbcbcbabbbcbabbbbbbbbaaaacabbcbcbcacbbcabbbcbcbababcbbaccbabacbbababbcbccbababbababcbcbcaababababbaaccbbbbcbacbcbaaccabbbcbcabcbbbbabbcaaabbabbabacbabbcbbaaaabbbbbbaccccbbbbabbabaabacababbabacabbbbcccababcabbccbccbbbbbcababacacacaccababbbcbbcbcbbbccbbabccbcbbbaccbbbaaccabbbccaaaacbbbbbaccabbabbbbabcaccbcbacbaacbabbbbccbbbccbcbbaccaccabcaabacbcbabcbabbcbbabccabcbabbaaabcabcbbbcbbcbbcbacbbabcaaababaabccbbabbacacbbabbbbcbaaaaccabcbcbbbacabcbaacaabccabbbbaaabaaababacccbccaccacbabaabaacacbaabaababbacbbcacbabcabbbacccbbbbccbcbaccbabaabbbabccbabaacbbaacbabacababccaccbcbcbaacbbacbabbabbaacccaacbcbaabcacabcacabcbaababbbbbababccacaccaaacacacbcbabacbaacbcccbbbbaababccbaaabcbbabaccbbabababcbbaabbbabbacaaccbbaababcbbbbcaabacbcbacbbbbacbbccbabaababbbbcbcabccbcaaacccabbbccbaaaabaaaabbababaababaabaaaccbaaacaabcbbabbbcccbbbcccbbcbabaabbccbabccbcaccbaaabbccababaaabbabbcbcaaacccbbbbababcbbbabcbccccbcbbacbbbbccbaaaabbbccaaacbbccbbbbaabbcacaabbcbabbbcabababbacbbabbabaaaabbcaabcbbbabaacaabccbbaabaababbaaababbacbccbabbabbabbbbbacbacbcbccbbbbbabaabbaacacbbcaabcbcbbccbcbcbacbbabbcaabbbaaccbbababbccacacaabacaaaabcbbacccbbcbbbbcbcaaaccaccabbaabbbbacbbbcaaccbbbcabbccccabaabbbaaccbccbbbabbbaabbabaabbaccbbbaaabbacbbbcbbcbbabaaaabcabbccbcbbabbbbabaccbbcbaccaabbcbbbbabbacbaabcacccbbabbaaabaaaaacbabbabababbabbbacabbbbabbabababacabacabaabcacbcabbabbbbabcaccacacacabababaaabccbbcabaaabbbcaccbbaccbccccbcbabbcaaccbbbcbbaaabbbababcbbbbbbabbbabcabbcbaaacbaccbabbabaaccbbbbacabcababcaccababaabaaabaaabacabbccacaabcbababbbcbcbabacbcbbaaccabccbbbccccbbacaacbcbcbcaaccbbabbbcccbbaabaacaaabbabbbbababbbcbbbbabcbcaababcccbaabababababbaaabbbcbbcabccccccabbcaacaccbabaacabcbaabbbcabacaababbcacbbabababccabaabacbbabcaccbbcaabbbaabaccbbabcabbabbbccbccbacaabcaabcaccbccbbaacabcbbabcbacaaabcaaabbbbbbbacacccabcbbccbaaccabacbcbacababcbaacbacabcbaacaaccbbcbbacbabbccbcbccbbbabaaabacacaaabbaabbaaaabbcbbbcaacbaababcbbbbbcacaacaaababaaaaacabcabcbaaabcbcbababbbccaacbabcbbabbbbcabaabaaacbcbbbbbcbcabbabcbbbaabaaaabcaccbbbcaabbcacaabccbbccbabbbacbcabbbbaaabbbbbaccbbabbaaccaaabbbbcabbabcabccbacbaaaacbbbbabbcbabbbcabcacbcbbacaabbbcabbbcbbabbbbabaababbabbbabbcabaaabbbbccbcbcabbaabcabbbbbbbabbababbbabbacbabbacabcabacbaacbcbbaabbaaabacbbcbcbbaabbcbbbcaabacabccbcabbccccbcbabbaabbcbbabbbacabcacabbbaccbbbbbacbccccccbaaaabacbaacabbaaabbabbcbbcbabacacbaaccababbcbbaabaacbbcbcabcbcabccaaaaabbbbaabbbaccaaabbbbabbccbacaabbbaacbacbcaacabababcbbccccbccbcaaccbaabcabbbbacbccbbaaacaabababacbcbbbcacbcbacabbbbbacaaabbaacabaabccbbabcbbcbaacbbcabbbbcabaccccabaabbbbbcbaccbbbabbaaaabbbbbabbcbbbabbcbbcaabaacbbbbbabacabbbbcccbccabbbccaabbcacaaabbbaabaabbbbbbaacabbbbbaacbbacbacaacabbabbaaabaccbccbccbaababbaacaacacccbaacabcbacacccccbaccbabccccbbbcaaaabaabcbcaccababbbbccabcaabbbacbbbbbbbbabbccaacbcacbaabacacbcaabcabcbbbabaaabbbbcaacbcbbccbaacababacaabcbbbaaaaabbcabbcbccbccbbabcbbbbbbcbbbcbbaaaacababaaabcabaaacababbbcccbaaababbbabbbbaabbbaababbaccbacbcbcbcbcabababbcabababbbcbabcccabbcacbccccbccaacaaacaabacccbcaaabbaaabcaccbcabcaabacbabccbbbaabbbbcbabacbabbabaccccccbabbcaacbbcbabbcbaaccbccbbccaacbcacbbccacaabccbaaaabcaabcbbcbbcbbbccbbabbabaacccbccbcabaaacbbcbcbbacbbabcaabacaacbabbbbaaccabccbaaabbaababcacababbbabcaaabcbabcbabbbbacbacabcbbaababababbabbcaacbcbbbacababbbcabcbaabbacccabbcacaabcabbaabbcacbacacabbbbbaccccccababcaabbaacbacbbacbcbcacbacccacbaababbabbacaabacbbcbbbcacbbccbbbaaaaababacabcaaabbabaabbbbccbcabbbbbbacccbababcbabcabaacbcbcbcacbccbcbbbacbbcbabbbabacccabcbccbbccbaccbcccbbcabbbacbbbaaabacacaabcccbbbbcacccaacbbcbbaacabccabbcababcbbababbbacbaaccabacabbbabababacbbaaaaacbcbbbabbbbabcbcbcaabbbcaabcaaacabbbababacccbcaabaaababaabcacaabbaaccbbcabbababacbbaaacaaccbbcbbbababbccabbbbbbabcacabcaaaabccbabbcacacbbbbcbabaaaabcabaaacacbbbcaacbaaaaaaacacbbacaababbcbbbccbbaaabbbbcbabbacbababbbbaacabcbbababcabcabcccbcbcbbbbbbcaabbbabbcbbbabbccbcacbcaabcbbcccbbcbabcaacaabaaaaaabbbabcccbccbbcbbbbaabcbabacbabacbccbcabbbaabcbcaabcacccabbaabccccacabaaacaabccccbcbcbbbbbbbabacbcabaacccaabbacbbccacbbaaaabcaacbabbbbcbbaaaaabababbcbbbbbcbcbbccbcaaabcccbcabbccabbaccabacbbbccbacbaabcbcbabbbbbbcbcbbaacbabbbbbbaabbbacbcaabcacbcbbbacbbcccabbabcabbaaccabcabacbcbbcbabcaabbbcbccccbbbabbaacabcabcaaabbaabcaccabcbbabaabaaccbbbbcbcabcabcbccbbbccbabbcbbbbbbcacccbbcbcaaacbbcabbccabbabacbbabbaaabbbccbcbbaabcbbabaaababbbbcccaccaabbcabcaabbbcbaccbcccabaabcbabbcbbcbacbbabbacabbabababbbcacbccbbbaaaaaaaacbbbbbbaabaacbabbacaacbbbcaacbbbbbacbacbbacabccbcbcbbbbbbcabaabcaaabbccbbcaacaabbbabcbcacacbcbccbbbaccbababbcbcccbbbcaacccbbbabbbbbcaaccbbbbcaabaabcaabcbabcabcbccabbaacabbccbccccbcbbabbbabbabbbaacaabbbbbbbcbccaacccccbcbcbabbbacaabbbbaccbabbbaaabccabbbbbcbbbaacbcbbcbacbcccbcacababbcababaaabaaaabbcbaabbcbabbbacbbaabcbcbcbcbbbbbabcbbbbbcacbbbbaccaaacababcacaabaccbababbbcabcbabcabbaccababcbcbcbabaacbcabbbbbbaaccbbababbcbbbacbbbbaaaaaabbcbcbcbbabacbbabbbbabcbbbbbcbabbabbabbbacaccaacacbaaacbbabbbbbbcbcaabbcaababbbcbababbcaaccbabbabcbbccbcabacabbabaabaccbbccabbcabbbcbbbcbbaabcccaabccbaacbcbacbbbaabacaccbbbbabbcacbbbbccbbbababcaccaabcbbabbbcabbbccbabbabaabbbcabbbcabaaaababcacbbaabbbcaccaabbaaacbbaabcbbbbbbcbcaabbabbbaaaaccbabaabbabacacbbbccbbabaacbbcbccbaabbcbabccbbacbcaabacbbacaaccaabcbcabaabacccbbcbcbccabbababcbbacccaacaabbccbacbabbcbabaaaacbcabbbabbbbaabcacaababaabaaabbbcabbbbacabbbcbcbbababbabababccbabbaacbaacbccacababbbaabbccbcbbaaabacbcabcaababbbaacbbbabcabaabbababbbaabbbbcbabcabcbbbacbcccbcbbbaabbbbbacababcccbabbaccccbcbabbbbabcbcacabbccbcccacccbacacbbccbcabbaabcbbcbbaabbabbabcbcbbbabacabcbaacbbbbbababaacbcbbbaccbabccbbcccaaaacbccbbbaacbaabbacccaabcaabaaacacbcbbcbabbbacbcbccbbcccbbcbcbbaabcabbabcabaaabacacbbbbbabbabbbaaccaacaabbccaaababaaacacbcacaaaaacaacaababbbaabacaaabaaabaabbccaabcccbabbcbbaabbbaaaabbbbabbbabbacbbaabcabbbcbaababbcbbabbbbacbbcbbaccbcbaabbbcbbcbcbabbbcbaacbbacbbaaaaaacbbcabbbaababbbcccabbcbbaacbaacaabacabccbabbaababbbcbcbbbbbbcbcabcbccbbbbaabbcacbbbabbbbcbccbbcaabacccaacbcbaaabcacaabcaabbccbcaacbabacbbaccabbccbbbcccbccabbbbbbbabccabaccbacbcbcaabacabcacabaccbabbbccccbbabcbbbbacabccababcbcbbbbababbbbcccbcbbbababcacbccbbbbbbbaabbacbabccaababbbcbcbbbcbaaabbbabbcaaacacbaaaacbbaaccabcaabbbbcbaacbbcaaaabbcabccbabacbcbacbbabacabbbcaabcbbcbabbaaababbcbcbbbaabbcbaacbcacabbacacabbbcababbaabbaabccbbcacccacbaaaacbbbcabababbbababbcbbcbcababcbccccbcaabbabcbbbbabccabbcabcabbbaacbbbcabccccabbbbacbcababbabbabbbbbaabbbbcbcaabbbbaaabbbcbcabbabcabaacbcbacababcbbacbbbacbacbabbabacacbbabbbacccbbbacbacaacbccbbbcbaaacbbbccbcccaaaababccbababaaaccaccccbbcacbbccbbcbbababcaabaaabbbbbbabcabaabbabbcbbabbbabbaabcbbabaccaaacabbcccacaccacabbcbabaabccbcbcbcbabbbcbbbbbcbabbaaaabababbacbabaacbaabbbbcaabcbabcacbbcabbcaabacbbcbbcbcbbbbacaccbbabbaabbabcbbbcbbccbcabbccccbcbbbaacabbcbccaaacbaacacbbbcaaacbacbbccbaabaabacbaabcacbabbbbacbcbbcaaacccbbbbcabbbbbcbcaabcbbabaccaacaacacbabbccbaaacbbbcbabaccaaaabcccaaaaabbbccabaabbacbbbbbccabbacbbcabaabbccaacbbcccabbbabacacbbbbcbabbaabcbabbcabbcbccccacbcbabccabccaabbccbacabaabbabcbbcbabcbbaaabaacaaacccabbcbbaabbaacbbbacaabbbacbbcaabcbbcbaabaaccacaacbacbabaaacbcbbcabbbaabcbcabbaabaaaaabcaacbbaabbbcbbaaabbcbbcbcabcbcabbccbccaaabbabaabbacaaaaaacbbacbbbabcaabcabcbbbbaaaaaaaaaabaabbabcacbbbaabcccaaabbccbccaabaccbccaabcaacccacabcabbbabcbcbaabccacaacbbacccacbcbabbbaabaccbabbaabbaabacbaccbaabcabbcaacccbccbaacbbaccbaabacbaabbaaabccbbabbcacbcbccabacbbccbcbbaaaabbcabbbbccacbaabbbcbcbcabcbbcabbbbabbacaacbabbbbcbcacacbccccabbbbaacbcacbcabcacbbbbbaaaaaaaaacbbaaacaccccbcabbabaccbbcbbcbbabcaacbcbcbbccbccabcaabcbbcbabaaacbbacbcacbcaaacabbbbbacbabbbabbbcabbaabacbabbabcbacbbbbaabacccaabaaaabccbcbacaaaabcabaaabacccababbcbaabccbbcabbbcccabcccbbbcabbbabbabaabbcbabbcaaaabaabbacabcaacbaccbbbcaaaabbbbacbcbaabbcbbacbbaacccbbacacbbababbbbcaccbbbbbabbabcbaacbacaacbbcccccaacaabacbabaacaaacabcbbbbcaabacccaacccaaabbcbbbcbabcbcbaabcbccbbababacababccbabbbbbbaabccabbabbbbbcbbbabbbbccaabbacbbaacbbababacacabaacabccccacaaabccabcbcacccccccaaaabbcabbcacbacbcbbbbbcbbababaaabbacabcaabacbaacbbacbaabbabbbcaabcaccabcbcbcccccbbbaaabbbbbbabccbbabcaacabaccbcbaacbbcacbaabbbbbbccababcccaaaaccbbbabaacacaccbcbcaacbbacabaaccacbcbbbcbbababcaccbcbbabbbbabbbacbbabaacbbacbcaccbbcbacabaabbcabbbacaabaaacbabbbbcbbbbcbcabaabbbbbbbbcabaacaacaabcbacabcbbcbbcbbacbabbbbaaaaacbbabcacbaabacbbabbbaacbbabcbcacbaaccccbbabbbcbbbbccaaacaababbcbabacacaabbbbbbbaaccbbcbbabcbcbbcacbbbbacbabbaacbcabbababbaacbcccaaabbaccabacbbbaacbbbbaacababcbabaabbcacabcaaacbbbbcbacbbccabbcaabcbccbacabbbbcbaabbacabbbcbbccbbbbbaaaacbcbabbbbcabbaaabbccaaaaccbaaaabaaacbbbbbbbcbcabbbbcbccbabaacbababbbbcbbaababacbabcaaabbaaaabacbbbaabcbccaaabcbcccbcccccbaaaacbbabaaaaabbbacbacccaaaacabbbbbbacaacbcaaaabbababbbabbbbbbbcaabbaccbbcbcacbbcbabbbacbbccbcbabaccbbbacbaaabbcbabcabcbcaaaacbbaaabaaaabcbaacbaaccaabbbcbcbcccaacabaabcbaaabbcabcbbbbabbcabbbcccabbaacccbccbbcbbccbacaaabbbbbacaabaccabbbbaacbaabababccabbabbaacbababccbaabcabcbbccababbbacbbbbababbababcbbcbcbbaacbbaabbabbbbbcaacacaaaaabcccacbcacabbaaaaaabbabaaaaccbbbbababccbcaaaabababbbaccaccbabababbbabbbabcbacccabbbcbbbbabbbabcacbabbaabbbccbabbbabcbcbbbabbccbbbbacabbbbacbcbcbccacbaccbcabbbabbaabaccbbbabcbabbacbbbbacbccbcabbbcccbabbbabbabbbbacbcaaaababcaababcabaaaaababbbbaacabaccaababbcbaaaaacacbcabcbccbbabacabaaccaabbaaacbbbabbbabbababbbbaabacabbbcacccbabababbabcabcabbaabbacbcbacabbbcaababcaabacbaacabbccabbacbbacbaaabcbbababaacbcbbbcabbbcbacbabcbaacbbbbcbbaababbaacacbbcabacbabbbcbbbabaaabbbbabbacaabbbbbbcbbbbabbbbbbacaababbccccbabbbbbbcacbbcbaaaabcccbbcaabcabababbbcaaababacacbbbbabccbaaabcbabbbbccaaacaabbbbaabaaabbbbaababbbbcbaabbacbbbbbaaaabacabcbababaccbabbbabbababbbbaaccbabbccbaabcbccacaaabacbabcbbcabbaccaacabbcaaaabaaacaabbbcabbaacbbabbbabcccccabcbcbabaaacaabbaccaaaabbcaabaacabcbcbabacaccbbbaabaabaccccabbcbaabcbabcbbaabbcbabaabaabbbababcbccaaacbcbababcbbbbabbaccbcbbbbabcacabcbcacbacacbcbcaabbbbbbbababccababbbaabbbccbcbbbacccbaccbacaabbcabbcacbbaabbbacbbbccbbacbaabbbaacacbbabacaccbbcbbbbaabaccbacbabacababbcabbbbcbccbbaababaaaaabbbabacabaacbcbabbcbbbabccbbbbbcbaabbaccabacbccaabbbbbcbbcbabbccbabcaababbccbbbcabbacbabaaccccbccbcacbbcbbabccccabcaaacaccbbababbbbcccbcbabbcccbaaacccbbbcbbcbbbbbbbbabbbaabbaabbbbcbacabcbcbcbbcbbccacbbccacaccacccbbccbcbbbbaabbcbcaabbbbbbbccabaacccccbaaaccbbbaacbccabbabbcacabbccbbbbcbbbaaacccaccaabbbbaabbacaacaabaabacbbbbabbbaacabbbaabbbcbcababaababcaaababcbbbbaaaccccccbbaaabbcacbaacaabbabaaacabacbbbbcbbccacbcbabababcbcccbacbbcaabbaccbbaaaabcbabbccbabbabbccbcbaacbabccbbacbbbaabcabbabcbbabbcabbabbbbabbbcaabbccbcabccaabbcaabbabcabbaababbcbbcabccbccbcbbaabbbccbcbbbcbbccabbbaabaaababbacbabbbbbbbbcbbaaabcabababacccabbbcaabbcaccbcbabbbababccbcabbacbaacccaacbbbaccbcbbabcabbccabaabcccbccbbabbabbababccbaaaaabbcbabcabcabacbcabbababcccbabaacccbbabcaacbacabccbbbcaacccbbabababbabbbbccbaccabbabcabbaabbbbcccaabbbabbaacabbcbbacbacaabacbcbaabbabcbabbbaabbbbabaccbbbbbbabbcabcbbbcaabaaccaaacbacbbbaabbbcababbaaabacabacbabbbacbbccbcccaabaaabccabcbbbabacacbcacbbbaabbacacbacacaabcababacacccabbcbcbbcaaabccbabccbbbaccacbbbacccaabbcaabacaccbbbbbcbabcabaaccaabbbaabccbcbbcbabcccaaaababbbcbbbabcbbaaaabaccbbbababaaababbbbcacbbbabbbcbacbccbcaabbbccaacbaccbcabbacbbccbccabbcbcaabbaaabacbbbaccbabaacbabacbcaccaaaababbcabbcbcbbbcacbcbacbbaabbaabbbbcccbcabcccaaabaccabaccbacbbabcaccababbbacaabaabccabcbcbacbbbbacbccacbacbbbabcbbccaabbaababbbbbbbacccaabaccacabcababbabbaaaabcbbbbbaccbbbbbbbabcaaabbbbbbbaababababbaccabcacbcbbbbbaabbaabacbcabbbccbabcaccbbabacbaacabcbcbbcabcbbbababbbaaacabbaabbccccaaaabbbbcbcbbbbcbcccbabbbbbabcbcbbcbcbbaaaacaabbaaabacacacbabcbbaabbabbabaababaabaabbacbabbcbbaabcbbabacabbbaaccaabccbbcababcabbcaacbccbbacabcbaabbabbaabbcbbabbbaabacababcaabbaabbbaabbcbbcacbbacccccbabcbbaabbbcacbabbbcbbccaaacabbcbbccaabccabbbacccccbbcabcbabbaabaabbaacabcaccacabcbbbcabbacbccbabbcbacccbabcaabaabcbbacbabaacacbbbbcbbbbbaccbcabbcbbbbbbcbabbbacbcabbbbbacaababbbaabbbbbaacbccbcbbaabbbbbbcbcbbabcbcbabcababbcbbacaaaacacaccbbbcbabbcabbbabbbbaabccbbaaaaacaacbaaaaabbbcbcbacbbbcbababbacabcbcaccbbaabbbababbcbcabacacbbabaabbccabcbbaaaabbbbcbcbbaaabbcbbababbcaaabcaabcaabbbcccaabbbcbcaabaccbccbbaaaababacbbccaacbaccabacaaccbaaacabcbacaabaccbbbccaccbbbbbabaccabbbcaacbbaaaaacbbccbabbbbccbaaaabbbcbcacbcbaacababcccbaabcabbabbbabbbbbcababbcbbcbabbbbbaaaaaaccbababbbcaaaccbbbbabacbbbccccabbcbabbabaaccbaacbcbccacaccccbacbcbbbaabbccbacacbaabaaccbcaaabababbabbcababacbcbcbcacbcbbbbbbccbacbabbabcaaacacbcbccccacabbabbacbbbabbabacbabcababbcabaccaababcabbbacbacaaccbbbacbcbcbcbccbbbabaccbbccbbacabcacaaabbaababbbabbccbbbbaabbaacccaaabbbbbacbabbaabbbacbaabbcbccbcccbabbaccccacaccccbcbaaacbbbababbbcaabbbbaacbbbbaaabcbacbaccaabbabaaabbaccabbcbbbcbabcbaccbbabbbabacbbaacaabcbbbabaabcbcbbbbbccacabbbcccaababbbcbbacaabcbbccccbabcaccbccbbccbaabbbbabbbbbbbcbcbbabbbbcabbbbbacbbaaabcbbabbbababcbaaabbaacabcaaabaabcbbbbbabcbcacbabbbcbbbacaabbbbcacbbbabbbccbaaacbabacbacababacaabbaacacbabaabbbcaaabbabbbcccbabcbaaccbbaabababbcabcbbbacccbaaababbbbacacbcbcbcacbcacabbabaaabaabcbabbcbbccbabaacbbbaaabaaccbccbbbbcbccbbcabcbbacbbabcbabcaccbbbbaacbababbababbabcaacaabbbbbcabccbabcbbbaabbccbbababbbbbbbacbabbacbbbabaabbacbacbccababaacbaabcbbcacaacaabcbbabaaababababbbacbbbaccaabbbcbcaabbaaabbcbaacababaaabcbaabbbababbbabaabccbbabacbabcbcbcbbabbbbbaabaaabbcaaaaabcbabbacbcbabacbbbbbcaabbacbbababcabcabcaaabcbaabcbbbbbbbbbbaccbbccbabbbcbbbbcbbccbaabbccacbbacbabccaabccccccbcbbbbbbaabccbacabbbbbabcbabaabacbbcabbbbacabcbbbcbaccbbcabacbcaabbbbbbccbbabbbaababbcbcbbbbcacbbcababaabbcbcbcababcbabbaabbcbbabaccaabbabbbbbbcbaaaaccacacacccaacbbbbcaaabbbabcaaaaaabcaccbccbcacccabbcabaaaaabbcbbcbbcbabccacaabbabcbbccccabbabbbabcababaabbaaacaccbaabcbbabbabcbccbaabbbaababaacaacbcbbbaaaaabacabababbcbaccabaccbabcbbabcbbaabbabccaabccbbabaaacacbabcbcbcbccacbcabaababbabacabcbcabaaababbacaacbcabbcbbbbccbbbbabbbbbabbcabbaababbbacbababbbbaabbbbbbbbbbcbaaacbacbbcbababacbabccbabcbbcbbabbbcaabbcacbbcacbabbaabacbcacbbbaacaaabbbbcbbbbcabbbcbccacbacbaabcaabbcbabbcbabbbaabaaabcbccbcbabaabcbababbbcbaaabcbccbababbbcbbccbbccabcbbbbcbbbcacbacabaaaaacbabaacbaaacccbabbbaabccbbbbbaaababbccababcbabaacacbacbabccabbbcabbbabccbcaccbbbababaaabbbaabacccbaccbabcacacbaabcbabbababcababaacbbbcacbabbcbcaaabbacacbbaacaacaabbaabbbbbaabbbacabccaaacbcbccbbabcacabaabbcbabacbbbcbccbbacaabcabcbabababbbbcccabaabcabbbcbcbbaaccbaabccbaaabcaaaccabbcbbacaababcbbacabaacbbabbbaacbbcacabbcacaaacbbabcacbbcbaaacacbabbbabbbbbbbaaacaabbbccbbcabbbbccbabaabbbbcbbabcabbaaabbaabbbabbcbacbbabcacbbabcbbabbbabbbbabacbcbcacbaacbccaaabbbcabacabbccbacabaabcabbbbcbbbbbccbcbaabcbbbaaaaacabaaabbcbbababbacbbbccabbababcbabcabbabaccabbbbcbbbbbccbaccbcbbbcbbabcaabbbbbbacabaaacacabaabbcccbcacaababbcbbababcbbccbbbcbaaabbabcababcbcacbcbccbacbabbbbabbacabaabbbaababaaababbbbabccbaababcabbaacbbbcbcccbbbbaabaccccbcaabbaabbcabbbbbaabbcbbbbbaccbbbabcaabaabbcccbabbaabbaacabbbbbbaabacbbbbbbaabbaabbccacbbaababcbccbcabcbababcabacacaabccbaabbcbcbaacababbcabbabbcbabacccaaacacbababacbcaaaabcacabaacbcccbcbbbabaacbabbacbbbbbacbbbcabcbbabaccaabcbbcacaacacaaccccbcaabccbabbbbaabbbbccabcaacaaacaccaaaccabaaaaabbbaccabbacaaabbbbcbbbacaaabaababbacbbabbbbbbcbbabbbbbabcaaccbbcbabaabaaacbbbabcccabaaabbcacbbcaccbbbabbbccbbbcbbbbbbacbabbcbcaabaaacbbabaabbcbacaacacaabacbbbccaacccacbabaabcbcbbcbcbababbbaabbaabcbcbcbacbbabacbccbcbbacbcbcbbcabbacbbcabaccabbaabbabbabaabacbabbcbacabbbacaabaabababbabbcbbccbcbabbbaacbaaabbbaabccaacacacbacbcbabbcabcbbbabacccbcccacbabcbbbbcaaababbabaabcbbabbbbbcbabbabbaccacbbbbaaabbbbbbbccccababbbaaaacaabbcacabaccbaababbbcaabbbbbbabbbbccacbabbbbcabacbcbabbacbaaababcbbccaccabacbabbbbcacbcabbaaacbaaabcbbbbbbbbabccaabaaababbabaaaacbbababababaccabacbaabbbccacacabcbbacbbbbabcccaabcbabbbaabaaacbbcbcaacbabcbabaabaccabacbbabcaacaacacababbaabbbbcccaabbcbbcaaaaabccbaaccaccbaaccbcccabbaaaacccaaaaabaabbacbacbbcaacabbacbabbaccbcbccbbabbcbabbbcbaacbbccbcbccbbbccbbbacbaaaacaaaccabccabbbccacbaacccbbabaabacbaabcbccabbcbccaababcababbbabacbbbbbaaccbaaabbcacababcbbaababbbbccabcabbccabcbbcbababaabaacbbcaaaacbababaaaacbbbcabacabbccbaccabbaabcbbaaaabacccbcbccbbabbbcabaaabaaccabcababaccaaaaccbcbccccbabcacbaaaabcaabacaaccbaaaaacacbabbcbbbabcababbababaabcbcbcbcaacababbbbabaabaacbbabbcbbacbaabbbbbacabbccbcbcababbabacacbcbbcbabbbcccbaaacbbaaccabbcbaabbcacccbaabcabbabbbaabbaaaacbababcabacccbabbbcbbabbcbccacbbbbbccbbcabbcbbacbcbabaccbbbbbbcacacabbbcbabbcbcbcccbbbacabbacbcbcbccbabaccbbbbbbbabcbacabbbbcbbbbabbbaabbcabbcacaaccbcbbcbaaacaacaaacbacabbbbaacacbabbbabbacbaabaaaaaabbbbcabcbabaaabbabcccaabaabbbbbbbabbcbbbacbababbababbbaabbbbaabbacbbcaabbcbbaabcbbbcbaaaabacaaccabacbcbcaabaacabbcbbabbcbbcabcbabbbbbabaabbbaaaccbbbacacbaabccacbcbbccccabacbcbcbaabcbaabacacacabbbcbabbbbabbbacccbbbaaacacccbbccbacababaabcbabbacbbccbcccbbcbcbbbcacbaccbbccbccbbabbbabbabbbabacbbabbababacbacababccabaaccbcbbbbccbbbbbcbbabbcbbbbbaabccccbcccabcacbbbacbcbbacbbbbcbbabccbcbcccbabaababbbcbaaabbbbbacbbccaababcbababaabbccacacbcacbbacbcbcbbaacbcbbbbbaaacabbccbbbacabcbabcaacabbbabacbbbcacbbcbbcacbabbcabbaaabaabbacbaaabacbabcbbbcbbcbabaabcaaacbbabbbbcabbcabbabaaccaabcbbabbabbbacbacbbbcaabcabbbbbbcbbcccbaababbbababbcabbbcbbbbabcacababbcbbbcaabbbaabbcbaaababacaaacbababaaccabcbbbbbbaabccbbcaccacbcababcbbaabaacaababacbcbbababcbbaabbbbacacbbbccbaccacacccacbbcccbabbbbcbcacbccbaabbcabaaababbacabababacbcabbbaababbaabbbbabcbbbcbbabcacbbcacababcbbabcccbacaaaabbcacbbbbbbcbcbbcabbccccaccbcabababaabccbcabbccbacabbaabbbabacbbcacbaccbbabbbabaaabbbacbcbbbaacbccbbbcacbaaaabbcccbbacbcbbabcacbcbcbacaacbbbbaacacacacbabbbccbbbbbbbbbbcabacbaaccababbbbbbbababbbbabaacabbbbccbbacbaacbbbcbcaaabbabbaaaacabaccababbbbbcaccabbaacccaacabacbbcabaaaccbbbcaabbbabbcaaccabbbabbccacbabaacbbaabccbabbabbcbaacbcbbbaabaabacbcabccaabcbcbbcabbcbbabacbaaabbbabbabbbbcccbcbbccacbbbcabbbbaabacbcbabbcababbaaababacabbcabbbacbbbabbccbcabcbacbbbbcbcaaaacabccabacbbbabababcabcbccbbaaacbccaacccabbbabbbbabcbabbaccbbbacbcaaaabbbccaabbabbbabaaabacabababbabcacbcaabcbbbabcbcababbccabbcbbbbaaaababbbbbbaccabbbcccbbabaacccbbbbabbccacababbaccbcacbaccbbacabbbcbbabbccabcacacacbbbacbbbbabaaaaabaabcccbcbbaacabbbaabbbcaabbbcbbccbbbbacccbaccbbcbcbbaaccbbcacbcabbcaaabababbbabbcabbaccbacacbabacbaaabbcbbbbbbaacbbaabcacbcacbaacaacbbababcbbcaabcbcbbacccbcbaaaccabbbccccbbcbbabbabcacbbbbbabbabccacbbcaaccbcbcbcbabbcabbcbbccabbbaccccacbcaaacaacbbccaababcacabaabcacbbabbcbcbabccbabccbcaccbbacacbbcbbabaaaaabccbabbbbcccbccabbbbbaabcacababbbbacccacccaabccacbcbbbaaaacbabbbaaccbbaccbccbacbbbabaaabcaaababbabacbbcbacabbbbbbabbcbbbbbbacbbcaabaacbcbabbcbcbbabbbbcbbbcbbbababaaacbbccccbcbbabbbbcbbbbcabbbaabbbaaabbcacaaabbbbacbcaacbabccaabababaabcacbbababbbcacacbacaaccabbaabcbccbbbbbacbabaacbcbcbcacbcbbbacaaababcbabbabbbbabbcaabbacabbbcababcacbbccbbcbcbcababccbcbbcaabababbbabacbaabbbbabcaabbbacbcbaaaaaacaacaccaaaaaabcabccbcbbaccaabcccaababbaccaacbabbbacbcbbaacacbcbbcbbabacbccbaacabcbbbccaabbbaccbbbbbbbcaabcbbbaaaacacaccbabababacaaacbaaabbcbccabcbbbababcbabbcaaaaabcccbbacbbacbbbccbccaabbbbcaaaaaaacbaaabcabbbbbaaacbbbbcbabaaaccbaababaaabbbcccaaacabbaabbbabbaabcaabaaacbcbbcbccbbaabbbcbababbbacabababbcaabaabbbabbaabcacbbabbabacbaabbaababccbababaababaaabcabbcabcaaaccabccbbcaabbacacbbcbcbbbaaacbbbcbacbbbbcbabacabbbabababcabcbbbaaccabbcaaabababcbbcbbcbaaacabcbaaccababaaccaabbabcbccbabcbabbcbbaacabcbcbaababbbcbccbaacbbcacacacaaaccbaacbbcbabcacacabababcbbcbabbaabaabbcaabbababbbaabababbcabbbaaababacccbcbabababaababcbcbabababbaccabcbaabbaabcbbabbbbbbbbbbccccbbabcabbcccacccbbaccabcbcaaacabacaabbabcbacaabbaacabaccccbabcccbbbcabcabacbcbbccbbabbbcbcbcbbaaccbacbbcccccbabbbabbcababbbbbaaaacacabababcbbbaacbaccabcbabbbabaaaababbbbbccacbabbccbaccaccbbccbcacbabbcbbbcbbcbabccbbaacabacabcaaaccbabcbbbabaabbbacbcbbacbbacbccccbbabbbcbabbbbbabbaacababaaacbbccbcbaabbbacbcacbacccbbaabbacabacababbcbabbbbcbaaacabbccaaacacbbacabcbbacaabcbbbcbaabbabcacccabbaccccabcbcaabccbbaabbbbcaabbbabacbbbcabacacbcbacabacaabbbcbabacabaacabbbbbccbcbbbcbccbababbbaaacbcccbcacabaacaabacabbbaaabbaccbbcbbcabbbacbabbccaabcaaaabbcccbbcbaccbccbbbbbcbabcbcbbabccabbbbbababbaaabacbaacbbbbbabbbbaacbabbcbbbaabbcacbabbabcbbbababbbacbbbbabcbbbbacaabbbabaacbcbababcbcbabbcbcbabbccabacbbbbabbbcbabbacbabccbbccbaaaccbabacabacacbccaabcccbbbcccbbbbbbccbaabbabcbaaabbcbbbbaaabbbbbacbaabbbbabcacbaabccacbacbbbaccabbbbaabbbabaabababaccbcbcaaabcababbbbccbabbbcacbbbbcabbbcccbcaccbcbcbbcbbcbbabacbbbccacbacccbabbbbcbbacbbcbaccbbbcbcaccbbbbaaccbabbabcabbacccababaaacacaabbabbaacaacaacbbbbcbabcbbabcbaaaaaabcbcacbcababbbbbbcbabbccbbccccbcaccabbbcbbbacbbaabaaaacccabacbaabbaaacababcaabccbbcabcbbbcbbbbbcabcbbbcbbbbccbaaaacbaacbaaacaccbaacaabaabaabbcaabacabccabbbabaabbbbababbcbccbabcbabcbbaccbabbcbabbabcacacbaaabbabbbaccaaaccabbcabbabbacabcbbcbcacabccbcbbcacababcbaccaacbccccabcaabcabbbcbcbbbbbbaacbcbaacbaaabbbabbccabbabbabaacbbbbcaacaaaccabbaabaaabbbcabbcbbabbacbacabbcababbbbbabcabcabacbbbbcabbaabbbcabaaaabbcbacabbbccababcbcacbbbbbacbbcaabbaabcabcababaaabaaabbbbcbababbbbbbbbbbaaacacbaccbaaabaaccbabacabbbacabbabcbabbcccbbbcabbbbacbacababbababccbbbcacbccacbcacbbaccbbbcacbaabbccbbbacababbbccbbbbbacbcbabcababacbaabcbcbabcccacabccbaabcbbbcbbbabbabacbacbbcaaaabbbacbbacccbbbbcbaabbbaccbbbbbcaabbcacaaabbccaccbabcaabbabaabaaaacbbaaabcaaabccbaacbcbbcbcbbabbbccaccbcbabcbccabbaaabacacaababaccabacababcbbbcaabcbcbbcabbaabaabcbbbcaababababaaabcaccbbcaabacccbacbacabcbaaccbbacaabbcababbcbcababbbbbabababbbbbbaaaabcbbcbbbaacbbbcbacbaaaabccbaacabbbbaaaabacbacbcababbbbbbababcbbaabbaabbabccccaabbabcabbcaaaaababbcccaababcbcbbbcabbbaacabbacaaabacaacabbacaababbbbbbaaacabbaababbcbaabbbcabcbbbabacabbababbaababaccbcbbaccbcbcabaaaabbabbcabcbcccbabccbbacbaaaacbcccbbccabaccacbaabbaccacabcccbccabbaacaaaccabbabbabbbabcbbbacbbcbbaacbaacbccaccababcbccbcacabbcabbbbbabccaabbaabacabcacbbacacaaaaccbbbcaccccbbabbbabbbbbbbccabaabaababccaabababbabbcbbabbcbbbccbabbbbbaaccbaaabcabaaaaacccababbbacacaaaaaababaacbbbcbaababacbabccaccabacacaacbacbbbaaababbccbbbbcabbcbbacabbabcccbcacbbbbcbbcabaaaaabacacbababcccbcbaccbbaaabcaabbbabbbbacacaabbbabaacbcbacababbabcabccbbacbbabbbabbbcbaacaacababbbbbaacaabbabbaacbabaacababbbbbcbcaacabbabaabbbaababbabcabbbbcbbccbbcccaaacbcacbabbbabcbcababbbbbcabcabbbbbcbbbaaaabaaabbaaababbacaaabcacbbacbbbbabbcabcbbcbbabcccbaaaaabbabaabcabbcbcaccacaabcccbcbbbbabcaabbbacbccabccccabbbaccaaaccbcabbbcabacbbabbbbccabcbabcacabacccbacbacabcaabbbbacabcaabacccbaabbabbbbacbbcabbacbbaacbacabbaaabbccaabaabbcacacbbbaabbcbaabbaaabababbbcbbababcbaabcbacaabbabaacbcbbcccbcacaaaaabaaaacbbbababccbbabbbbabbcbacccabbaabacaacacccaabbababababbaaaacbbaabaccbcabbaccbbcbabbcbacbbbbabcaaabbbcbaaabcbabcacabbbccbaaaaabbacaaacbcababcbbcacabaccbaaaabbbbbcbbccbbacbabbcbbacaabcbbabbabbbaaabbcbbbbbbbbcbbbbcabcbbaaaabcbbbabbbabbaabcbabcbacbabcaacbbabbcabccaaabbcbbcccbaccaacabbbbcacaabaabaabbcbacbbabbccbcbcababbcaabbccaaabbcabaabaaabbbbcbbacacccaccaabaabaaaccabcbccbbbbcbbacbaabbabacaaaacbbcbbacabbcabcbcababacaaababcbacbbabacbbabbbbbbabaccbbbbabaaabbaabbabcaabacbbbabbabcbbbbbcbcbbbbcbccbcbcbbaabbcbbccbabbbabbabcacbbbacbabacbacabcabbbbbbcabcbbacccbabbcbbcacbaccabacbabbbccacbcaabcbccacaabbaccbbbaaacbbbaaaabaccbbbcbabbbaabbbaabbabcacbbcabababbcabcccbabbcbaabbcabcbababbcbcbbabccbacababbbccaaabbabcaacbcbbbcabbbbbacaaaccbabbabbabcbacbbbabababcaacabababbabcbaabaabaaccbbabaacbaabbbbabbacbcbbaccabbbbbcbbaabccbaaacbacaababacbbaabcbcbcabbbbbbaccaabbbbabaaabcbaccbcccacaacbcacbbbbbbabbabbaaacbcbbcabbbbbcabacaaaabbbacbbabcaabcaacaaaaaccabbacabaabacbaccbbbbbbcbbaabbbabbcbbacbaaabcaacbbbcbccbcbbabbcbcaacbabbbabaabaacaabababccbabcabcaacabbacaccbcabbcbbcaabaccbbabcbaabaabacaaabbbcbcbabbaacccaacbbabbbccccabbaabbabcbbcccbbbbbabbbabbbabaabbbbbacccaacbabbbbcbbabcabbbbbbbcbcacabcababcabcabbbaccabbaacabbbcacaccbbbbbbcabbaabbabcababacbbabbcccccbbcabbbaacbccbabcbabcaacbbbbabcbcbbbbabcabbaaabaccaacccacbaababcbcbbcacbbabacbacacbacacbbacabcbcbbbbbbcbcbcaaaabbaacccccacccaaabbbbaacbcacabcbbbaaaabbaabccbccbbabacaabcccaabbababbcbabbbbbcbcbabaaabbabcacbbbbababbbbababbacaaabbbaabbbaacbaaabbacabbbabbabccabcabbbbabaacababbbbbbababaabbbbcbbbbbbacaaabacacbcbbbacbabbacbbbaabaabacbbbbbccaaababbbbababaacabcbabbbbabaabaacbbbbabaacbacbbcbacbcabbbabbabcabbcabbaababaababccababbabbacccbbbcbaaaabcbbccbababaaaabaaacbbabacaabbaacaaacbcbbbaacbbbaaccbabacaaacbcccabcbbbbbbbbaaabaacbbbbbbabbbcbcbbaaaaacaabbbaacaabacabcaabbbbaaabbbbababcbbcbbaccccccbcbaaabbacaccbbbcacacaccbbbbacabbbbbbbbaaccccbabbbbabbbaabaaccbbbbccbababbcbbcacaaabbbbabcbabbcabaabcaacbacabaaabbccbabababbcaccbbbbcbbbbbbccbbbaabbaabbacacbbaabcbbcabbabbcbbbbababbacbbbbaabbaccbcababbbaccbaabaabccbbaccacbbbccbcbbbcabbaccbccbbcabbabbbabbbbbbabbabaaabcabbaacbacacabbabbabcbabccbaaabcacacbabbbcccbbacabbbcacbbcbcccbabccbabbbbcccacbaccabacbcabcaccaabcaccbabbbbcbbacabaccaaaacbbbcccabaacbbaccbacccbacabacbcbbbbbbcabbcbabcaccbcbaacacaababccabbcbcbbbaabbaaaaabcabbbbacbcbacaaababacabbcbabccaabcabbbbacabcaccbabbccacabbbcaabbcbccaaccabcbbacbbbbabbaabcabbbbabcbaacaacbcbabbccabacacbbabaabcabbbccbabbccaaabbcbcabcacbbbaccaabcbbabaccbcaabcbcbbabacaabcccacaabaaaacbbbaababbbabcaccbbaccccabcbaacbcbcbbaabcacbaabaccbaaacaccbcbacacccabacaccbbcbaaabaaaaccbbcbcabacbcbbbbababbbcbbbbaacaacbaaababbacabababbacabaaaaabbbaccbbbaabccaabbbbcaaabbbbaabaabbcbccccaabbbbabaabacccbcbbbbbbbbcaaabccccaacacbbaabbbbbccabbcacccbcbbbbbbbcabbbacbabccbabccabbcccbabbcaabcbabaacbbababcaaaaaabcacccbbbcbbcacabaababbaacababcaacccabcabbabaacbbabbaaccabaacbaccbcaacaaaababbcabccabacbaababacaabbccbaacaccaaaabaabcabbbabcbaabbbbaaaccababaccaccababbbbcaacbbabbbcabbcbbccbbbbbbbababbcbabcabcabaacaabccaccabbbacbbbabbabacbcbbcacabbbcabcaabbcabacbbcbacabbbbaabcbaaaacaaccacaaabbbcbaaaabcbcbaabbbbbbcbaabbbaaaacabccbbbcbbabbbbbabbbabbaabbbbccbcbbbaaabbbbbccababcbcbbcaaacaabbaabbcaccbccbacbbbaababbbacbcbbbcbbcbcbaacbabbbbcbcacaaabbbbbbbbaccccbabacacbbbbbabbbbbbcbbcababccabbacbcccbcbbaabbacaccccabaaaccbbcaccccccacbabacbbbbacaccccabcabbbababbbcabbbccbcbacabbbcababccabbacabcabbbbbbacabbbbaabbaacbbcbbbbcbbacabbcbcbabaaabbbbcbaabcbacacbccbabcbbacbcacccabbcbcaaababccbababbbaaabaababaaabbbaabccbaabbbcbababcccabbcbabbacbbbcbbbaababcbcaacbaabbaabaaabcbaaabaccacbabbacacacbabbbababbbccccabbabcbbbabbbbcacbbaaabbbbaccbcbcacaabbbababcbaaaaabbcccacabbcaabccbbbbbbaccbbbcababcabbbcbccbbbbbcbccbbaccbaacbabccabcaccbcbabbabbbbabbcbaaabbacabcbabbabaabbaaaaacccbbbcbcabaaabcbccbcbbcbbbbabbbbacbbaacbbabbccbbaaaacacbcbabbbaacbbbabcacabacbcbccbacabcbabcaacbabcbabacbbcbbbbccbbabaccbabcbacacabbaacccacabbbbabcbbcbbabcaabacacaabbbbcabaaacabcbccbabbbabbbbccbabaacaaabcbcabbabbbaaccacbabbccbaccabbacaaabbabbccabcbabacbaacbaabbbbcabaaaababbbcbcbacbabbabcbaababcabbabbcaaabcbacbacbcbbbcacbbaccbbabaaaacaaaccbcbbabbbbacbcabcccbaacabacacabacaccccabacaabcabcbccabbaabaaaacaabaabbabccabbbaaccbababcababbacbbcbacbbbbabccbbcbbabbbabacacbbbbbbbaabbcaababbabbbbacaaaabaaabbbabcbbcaaccbbabbbabbbabbbcacacbbbabcaabcaabbbccbcbbbcbacabacbbccabbabcbbcbcabbbcbcbaacbbcabaabcbababcaabbabbaaababbabccaccabbbabbcabbabababbabaabaaaaabcccbaaababbbccabbaabaabbacbaabbabcbaaacaabbcaacbbabbbabbaabcccaacbabbbbcbbcbbbcbaaaaabcbcbbbaababaacaaababbccbbabbbabbaabaabbacabbcacabcabcaacbcacaabcbacbbacbcaaabcbaccbababcacbaaaaabbbcccccacbcbbccbbccaabcabcacabbbcaccbababaabbcbbabbaaababaaaaabcbabbbabacabaacbbaabacbcccbbaaabaaabaaaccbbbbbaabbbccababbccbaabbcbaababbbbcabcbccbbababbbbbaabcaccabcababbabbbbbbbacabbabbaabbbaacbaabbbbbbabbbcacbcbcbbcaabbbcbabaabcaacbbacbbbaabcbaabcbcbaababcabccbcabbacccbabbbbbcbcccaaaaaccaacbcbbbaacacbabcaccabacaaacbabbaababbbcbacbbbabbbacabaacbbabaaccabcbbcccbcaabaaaccbcbacabbaabbcababbbbbcbaccbbbaaaaacbbbaaababbbbabcbaabaacccabcbbacbbcacbccacbcbccbcabbabbbbbbbbbbbbbccabaabbbabbabbbaaabbbbbacacaabcabbbbaabbbaaccbcbaccabaacbacbabcbbaacbbabacabbbcbabacaaacbbababcbbbabbbbbcbbccbccbaaabbacbbaaabbbbacccbcbabacacbbbcbabcabcbbcbbcaabbbbabaabbbcbcbbbbbaabcacbabcccbbacccbbcbbaaabbccabcacacbaabcacbbcaacabcabcacbabccbcbccbcccaaabaaaabcbbbcbaccabbbabcbbccabbbcaabaccbbacbaaaabacababbbcbbbacabbcbbcbabcabbcbbbcabbbbcbaaaabbbcbcbbbcbbaaabbbaabbbacbabcabbacbbcbbccababccacbbccbbbcabbbcabbbacabbabcabbaccbaaabaaccababcabaaccbbbbaabbbbabacaabbcbbaabacbaababccacbaabbbcacbbabbaacccbbabbbacaacbbbbbbbcbcabbacbcbabbbbcaacbbabbcccccbcbccbacacbbbaaacababcbbaacbabbcbcbbcabbbcbbbbccbabbbcaaabbacbacabbabbbabcbacbcabbbabcaacbcbcbbbbcabcababcabcaabaacacbbcacbacbbbbabbbbacaccbbbabacaaaccbcbaaaaaabbbbcaabbbaaccacbcaccbcabbbbabacbbbbacbbbbbbacacacbbaabaabbabbabbabcabbaabbccabacccbbccbbaacabcabacabccaaacbabcaabaacbbbccacbacccbccacbacaaabbbcbbaacbbbbbbcccbacabcaaabbcbaacccbbbcbaabbbbbbabbbbcccabbbabcbabacbabccbbabbbbbbbbacbabacabbaacacccbcbbcbaacbaaacabbaccabcbcbbbaaaaaaccbacbbbbcccbaabbaabbbbbbabbbacbccbbccbaaaaabbabbcababbbbacacbabbbcbbcacacbacabcbbcbabababbbcababaaacbabcbcccabbcbbbbcabcabbabbbcbabccabbabbcbccbcaabbbbbabbbccbaabaacbbbbbabbabcbbacbaccbacbbcacccacababbabbbbaabcaaccbacccbbaacbbaaababbcbcbbabbbaaabbbbcabbbccbbbbcbccbaaabbccabbbacbbccbcbbbbbbaacaabaabcabbaaaabbacaaacaacbaabacbaabacababbbccccbcaaabaabbacabcbabcababaaacabcbcabaaacbabbabcaabbaabbbcbccacbbacbabbababbbacbbbccbcabbbcbbbbbcaabbcbaabbaaabcbabaabbaaacabaacbabbabbababacaabbbcbacccabccbbbcbbbbacbabacbaaaacbbbcbabbbbabaacbbabbccaabacabbabbcbabbabcbabbbacacababaabcbbaaabcbabccbbbbbbaaccbaacbabbcacbbbcbaccccbabcabbbabcaabcbbabbabbbbcabaabcbbcabacaabbcaabcccabbcbacabbaacaabbccabbbcbcabcaccbbacbcbabbbaaabbaccbbbaabcabbbccbbbbbabbcbbbbbcabbbbbbacbbbbcccbbaababcacaabbbabbabcababbcabacacbcacbabbaaabccabbbbabcbacbbaaacaabbcabbacbbbacabbacaccaababaacbcabbaacbacbabbbcabbabbbabbbcaabaaabaaabbbabcaabbbacccbacbbabacbbaabcaabcbbbcabaabcabbbabbbbbbababaabbaacbbbabbcabbccacbccabcbaacbccbaacbbabbbbbacbcbcbabbcabaaabaccbaacabaabcbaabbbbcbbbaabacbacbaabbaacbaaabcacacccabcbaabbcbbaacbaabbaabcccbbccbabccbcccbbcbaacbaaaccababcabcbabbacacaaabbccbcbaabbaabbbbaccbbcccbbbabbbacbbbaabacacccbbaabacabbabcbbbababacbbabacbbabcaabbbababbbabbbccbbbabbababbabbbcabcbbbbababacbacbbabcbbabcbbacacbbcbbbbabacbbbcbcbaabaabbbbacabbababacbcccccababcbabaabbabaabcbcbccbcabaccbbabbabbbaaababcabbbcbbbaacbbabbabbababbaacbacabbabbbcababbccaaacbcbcccbaabbaabaabcbaaccbaccabaaabbbcbcaacabaacbabbaaababbcbbaabcbabbabcbaccabaccaaaccbacbbaabbccabcbbbbaaaabbcabaaaabcbaacbbaabaacabaabaabaabbbbababcaaacababaaccababbcbcbbcabcabbabbabcbcacaacbaababccacababcbbbbbbbcccbbabbabccbccbbacbbbcacccabbbabbabacbcbcbaccbcabcbacbbcacccaabbccbbccababcbbbbabababbcbacbaaaaabccaabbbabbcbababccabaacbbbbaaaaaacabccabbcabbacabccabacacacbbabbbbabcbaaaaccacbacababbbaaaabaaacbbcabcbaaabacaacabbbcbbbcbaacccbccbcbacabacbbbabbabbcabacbabccccbcbabacbbabcabbcbbcbbabbbbacabcbababacaacabbbabbbcbabbbbbaaabcbbccbbaacaaccbbaabaccabccaabacaabbcaaacccaaabbbcbaaabbaabcbabbacbcacabacacbbcbcaabcbaabaaaacaacbbaabacabbbcacbabcabababaacbbcbbbaababbbccbacbbbccbabbcbaabacaacabacccbbabcbcccabbaaabbacbacbbaacacbbbbabbabbbccacbabcaaccbaacabaabbbaabcacabcaccbacbcbccbbbbabcbabbbacabbcbabbbbcccabbbccbbbabcacbbccbccbbaabaaccccbbabbbbabbccbabbbcaaababbcacbbbbbcbbaaabbbbcaacbbbacabaaacaabcccbbbacabaaababcababcbbcbbaabbbcbcbaabcaaabbbcaabbccbccacaabbaccbbbababcbcbbacbbbbaccbbbacbcbcabbbcbbacacacabacbbbaabbababbbbabcaabcbcbbabbbcabbaacaabbbacabaabbbbbbacaccacbccbbbbbbbbaabaabaccbabbbcbaaccabbbaaabaaabababcacaabaacbcaacabbbbcbbccccabbbcacbbbbcbaabaababbacaabbbbabbbbcabbbbabbcaabbbbbbcabacbaccabaabcccababacbbaacabbbbaccaccbbbbabbccbbbbbbbbabbbacbbaaabbcbababaacaaaacbcaabbbccbacbcaabaabababaabbabbbbbcbbbbcabbabbaabbabbcaabbbcbacaaabbcbacbbabacabcababcaccacbcbcbaccacababcaccacccbbbaabbcacbcabcccbbccbbbccbbaaaabbabbbacbbbbacabacbbbcabcccbbabaaaaabaacaaaacabbbbcbaccbbaaaabbacbbaabbcbacbbabbcaabbccbbbbcaabbbbaabbbabbacacccaaabaabaaaccbabbabacbbbbbaabbbcaabbcabbcacbabccbbcaccababbcaabbcbacbcacbcabbbabcccabcbbabbbcaabaabbbbbcbccbcccbcbbbcabaabbacabcaacbaabbacaabcaaaabbbabcbbbcbcababacbbacabaaaccbbbbcacbbbcaccbbbbbaccbabcabbcbbbabcbcbbbbbcabcbbcbcbaaccbcaccaaacbcacbbbbcbbcaacabbcabcbbacaabbbaccbbcbbaabccbccbabbbccbacabbbbbcbcaaabcacbabcaabacbbaaacaabcabbbbabbababcbcbccbacbabbbccbcbbbbbccaabbbbaabbabcbbbaaababccaabcaccbcbabbccacbcbbababbcbcbbacccbbbbbbbabacabbbbbcbbbbccccaaabbccccbacbbcabbccbbcaacbbababcaaccbababbcbbbbcaabcbbabbcacbabaaaccabbbababcabbabbcbccbabaabacbbbaabcbabaaabbbbaabbcbbcbabbcccabcbacabaaaaaaacaabbbcbabbccbcccbaabaabbbcabcbbbcbbbabbcababbbabbacabbacbcbbaccacaaaccabaacbcbbbabcccabbcaccabacabaabcbcbabcaaacbbccacccbcbbcbaabbbcbcccbbcccbbbaacabaaabcaacbbccbaababbbabccbbbaacacbbcbbbcaabbbcbcbbbcbaabccbaabbacccaaccbbbbbabaababcaaabaacaaaaacbabbbacbbaaacabaaabababcbcaaabbaabbbbaabaabbabbbcbabbccbcbbcaababcaabcbaabbbabbbcabcabcaabccaaacabcbbcbbbbccabbbbbcbacabbbbbbacccbccacaccbccbcbbabccabbaabbaaacabbabccbcbbccaabccbbaabbcbacabacbbbaccbbbabbbbbaacbaccbbabaaacabccbacbacabbbacccbcbabbacabbbabbcababcbcbcbbbcbbabbcaacccababbbaccbacaaacaaacbacbabaacaccabccaccabaccabcaccbbbaabbccbaabccbbccababbaababbcbabcababacabcbcbbacbbbabccbcaacbbbccbcacbaabbbbabaaaacaccbbaacbabacbcabcbbabbcabbbcbabcbbcbabacacbbccbaabbbbaaaabbcccaccaaaabacbbbcbbabcabbbcabcaaaccabbbabaaabbaacbaaaccbbbcbcbabacbaabcbcbcabbabbcbbbbbacbbaaababbcbbcccbacaaaccabcbbcbabcbabcbbcbbbaccccacccbbbbabaacabacbaabcabbacabbbcabbbcabcacbcbbbbbbacbccacabbcbbabaabbcbcaabcaccbaababcabacbbcbbcaaccbbaaabbbbccababacbcbacbbbcbbbbacbcbbbaacbbbcaaaababbbcbbbbbbabcbbbcbbcabbcbbbbbbabbbcbccbababbacbccabcbbccbcacaabbcbaaaabccabababcbcbabcbcbabaabcabcbbbbabaccbbbbaaababbabcaabbcbbbbbbbcaaaabbbcbbbbbabccabbbabaabababccbbcbbbacacbccbcbcaabaaaaabbccccccbabbacacbaaaacbbbbbaabbbabcbcaccaccbabbbbcccbbababbcbbbcbaaaacbbbbbaaacbaaabccbbabcaabbbbcabacbbaabbabbcabccaabbbacbaabaabcbbaaabbabccbaccbbcbbcbbbacabcccacbaaaabbcabbbbcaaababbcbcabcbabbbbbabbcbababbbcabbabcbaabccbcabbabbbbbacaabcbcccbbbbcbcaaabacacbbacccbaabaabbabaabbabbbbccbabbcbbcbbbabbaaaaaccbbaabbbccccbacbcaacbbaababbbbabababcacbbbbbacaacccabbabcaabcabbaabbbaabacacabcccbbbccaccacbbcabbbbbbabbcbbbbbabaaababaabaaabbaababbabbbbbcabaabbaaaaabcbaaabbbbbccbabccccacbaabbaabcabbaabbababbaabbaaaaabcaacbbacabaabbcbbcbbbacbbaaaaaacacbccccbcccabccbaccbcabbbabbbcbbabacabcbbaaaacbbabbcbbbacaabacaacbbaabababccbcaabacacbcccbbccbbbcbcbaaabacbbabbabbaabcacccbbaaaacabaabccbcccbacabcbcacaabcabababcbacbaabcbabaabcaaccbaacbcbbbacbbcbbbbccbbaabbccbbcbbbcbbaccbbcabbaaabaaaabccbabbbabbbcbbbaccbbbaccaccabbcacbabbcbcacababaaacbcaccbaaacbabbcababbbcbcaaccbacbabbbbaacbcbbacbacbbbbbbcbaabbcacbaacabbbacabbcabbabbbabaacaaaababcbbbaaaaaaacbaaccbcbbbbbbbbcbbacabaabbbbbababbbaababcabbacacacbbcbcaacabcbbabbcbabbacbabbcbabcaacbbbbabbabccbbabcacbbcbbbbabbccbbbcbbbbcbacbbbbaabababcbacbbcbcacabbbabbabcaaacbacabbbbbbbcacbbaaababbbabaababbccacaabbbccbbaacbbccaacbbbbcbbbabbbbabacacbbaccbcaabaaabbbcaabaccbabacbabbbbaaacaabcbcbbacbcbababbbbacccaacbacccbbabcbbbbcbbbacbbcbbbababbbbbbccccabbcbaacaabacabccabbcabaaabbbbbababcbcbacaabababaaabaaabacbacbbcbbbcbabbcabbbbbcbaabcabbcbbbcbaabcacbcccbabbbbccbbacbcabaabbcbbaacbaabcbbcacbaabbacabbacbbcbababacbbbbbaccaaabbbbabcacabbaaaacbccaabacbbbbababbaaaabaaabcabbcbbaacabbbbaaabbbccbbaaccacabcbcbacaabbcccbbabbcbaaabcaacbbbbccccbbababccaccbbbcbbbaabcbacbabbcababbabbcbbcabcacbabcabcbacacbabaacccaabbcbbbabaabaacbbbacabaccccabbbcaabcaabbaabcbbcbcbabbabcabcbbabbbccacaabbccbcccaabaaacbaabaccbbababaaabccaaaaabbabccbcabccbcccbcaaabbcacaccacbabcbaabbaabbabcabaaabbbcaabbbabbbcbacaccbcaabbacaccbaacbcbabccabbabababcbbccabcbaabaccbabbbabcabcaacbcccabbbcbccaccaabaaacbbbccbbcbbcaabcbbaabcabaabbbabbcbbbcbbbbabbbbaacbcbcbbcaabccabbabbbbbabbabbcacabbcabbcbcbbccabbcaacaabacbcaacbbbbbcbbacbabaabbbabababcaacbcbababcabaaaccacabcbcacabbbbacacbbbbbbbcbcbabbaababbbbcbcccabccabbaacbababaccbbaaabbbcbabababbabcbabccbabcabbcbbabcbabacbacbabbcbbbbcbcacbbaaabacbccbbbcaababaabcccbcbcccaaabacabbaccccabbaccbcbbaaaccbabcbacccbaaabcbbacbbbbcccaaabcbbbbbbbbabbbcabccabaabcabcccabcabacaaaaaabbcbcbbbaababacbbabacabbbbaabbbcbabcababbbcccabbacbcccabccbbcbacabacbbaacbcbcbcccbbbbacbcaccbbbcbabbbbacaaacbcbcbbababbabbbbbaacaabababaacacbbcbcabaaacaaabcbbabcaacbcbcbbabacbbbaccbbacbacabbcabcaaabbabbcbcabbbbbbbbabcbaababcacbababbbcababbcbabababaaaccbbaacacbaaaaaccaaacbbbaacacbbbaabababcaaabcaabbcbccbbaccbcacaabbabbbcaacccabbbacbbccbacbbcbbccaaababacbabbbbaccacbabababacabbabbccaacbbbabbbcbbaaabbacabcbbbbbbbbbbbbcabbaaacbaaabbbcabaaabbbcbbcbabcbbacbbbcaacacbccccacbcabbcababbaabcbccabbccabaaacbbbccabaaabbbabaabbbabbbaaabbcacbbabacbbabbbbbbbcaccaabcaacccabbbacbbaacbaababbcbabcaaaabbbbcbbababcabcbccacbbbbbccaaabbbabacbbbbabbaacaaccabaabbcacbccaccccbcabcaacbabbbcbcababaacaabcabaaababbcabbbbccabbaaaabcccabbbbabcababbabbbacbbcbbbccbbcccbcbcbbaaaaaabbccbcaacbbacbbcbbbccbaacababbcacbbbbbbbacaaabacbbabbacbabacbcbcaaaacacabbbbaabaaabbcbabaabaccaabbbccbcbcabccacacbaaaabcbcbaaababaaacccaaabccbabbbbbbbbbaccaabccbababcbcaaaccbbbcbbbbcabacabcbbbabbbcbaaaaabcbcaabccbbaabacbccbabbbbcaabbaaabababccacbbbabababbbcbccbbbaabbcbcbaabbacbacabbcbabbbbccbcaabbbbcabbacbbacbcabcabbabbababbcaaabbcbbbabacbbcabbbabbccababbbbbbbccbabbbbbbbbbbccbbababbaabbacbbccabbccbbabaaacbababbbaaacbbbacacccacccaababaaccbbaababccbcbacaacbaabbabaacbbbbabbaababcbbbccbabcccbabaacbacbaacbaaccaabacbbcccabbbabcbcababccbaaaabbbaacbbccbabbbcbaabababcabbbbbaccaccbbaaaccbbbacbaaabbabacccbcbbaccabacbcbcbbccabbaacaabbbbbbbacccabbacaabbbbabbbbbbbacabccbaacbcbbbbccabbbacbcbabaabcabbbbacbabbbabbbbaacababbccbbabbbaabbaabbbcabbbcbbaabcaccbccabcbbbbbacbbaacccccaabbbabbcaabbccabcbabcaaaacbabaababacaaacaacabaacbabacaabbcaabaabbbacbcacacacccabcbccabbaacbababcccbbbbbbbaaabbccabbbacbbbbabbabbbaabaacaaaabbbccaccacbcabacbccbbcbbbbccbabbbaaabbcbbccbbcbbcbcbabbbcbbbbccaccbaabacbbcacacaaacbbabaaacbabaacaabcaaacbaccbbbaabbccbbcaaaabacaccacbbacbccaaacbccbacbacbbcbcabacbabbcabcbccabcacbbaaabbbabacbcbbbcbabbaabccbaabbbcabbaccbccacaccbabbbcbbaccbaabbbaabbacaacaaabcaacbbacabcbabbaaabbcbababcaaacbabbabbbbaaaaccbbcbbbbabbacaaccbbbcabbaacababbaabaaacbaababbbababbbbacbabbaaabcbabbbbbbbcababbbabbbacbabcabbbbccaababbacbabcabbcbcabccbaabbaaababaabbabbcbabacbccbbcaabcccacbbcbbcbcaaabaaacacaaabcaabbbabcaccbbbaaaabbbacaacbbacccbbaccbbccbabbbaacbbbaaabacbcbbbbcbabacbaaabbbbcbbbbbccacbbcabcbaacbbbcabbbbbbaacbababaccaabacbbbbbaacabcbbbaabaabacbbababcabccbbbbbbcabbbbabcacbabbbacbbacaaababbbbabaaaaabcbcaaaabcababcababbacbabbacacabbbbbccacbbbcbbaaacbcbccbacacbaabaabbabacbacababbcbaabacaabcabbaabbaacbbbbbcabbcbabcabbbbacaccabcbababbacbcbbbbcaababbbbbbacaabbcbbcabcbcacaaaacbbcabbbccbabbcccbbbbbbcabcaababbbababbcacabaacbcacababcaaaccbaabcaacaacaabbaacaacbcbbbbbbbbbabbaabbaabaaacbbcbbaababaccaaabbbbcaabcbacbabcbbbbcbbbbbbcbacaacbbcbbbaaccaacacabcbbbaabbbbabcaaaabbcbabbbbccaacccbbaaabaabaabbbcabbbaacbabbabcacccccababbbbaababcbabaababbbabcccabccbbbacaacbabbbbbbbbbbcabacabbaabababcabcbbbcbbbbcabacabbaccbcaababbbacbcaabcaaaabaaabcaabababbbbccbabbabbcaacaacabbabcaabcabbcacbcbcbcbbbbbbacababcacabbacacaaaabbcbbcbbbcbccbbababbcbaabbabaacbbacacbbbbacbbaaabbacbacaaaabaaaccacbcbbabbbcabbaabbcbbbbacbabcabbaababacbbabbbabbbbcbcabbccccbbaaababbbcbabbbccaabcacbaabbcaaccbbbbbcbaabbbabcbabbbabcbcaaabbabbbcbcccaaabaacaaabbaccaaababcabcccbbcbbaccbbaaaabbaaababacbabbbbabccbcbbabbaacabacabbaaabbaabbbacbccbababcacacabbbbbabbbbabbaabcaaabcbacbbaccabcaaaaccbbacaacabbbaccabbbabbabbabbbcacacabbbcbacbcacbbbaaabcabcaaaabbbbabbbcbabccaacbbaaacbbbaabbbbbbcbbaaccaababbacbbcaacbaaaaababccabaaaaabbcbbbcabbbbbcacaabacacabacaaacaabbbbbcbccaabbbbacaabbbbcbacbabbabacaaababbababbcbbccbbccccbaabccacbbaaacacbaaaaaaabbcbacbaccabbccbacbabbcbabaaabbabbaabaabaacacabbbacbbbbbccbabacabbbcababbcbbcbcabbbcbbbbcabbcaacaabbcacbaabbbababcbaabcacaaacbabcabababbbabbbccccbcccaaabaabcacbbccabccccbbaaabaaaaacbcaacbabaababbabaabacaaabbbaabbaabbacaccbbbbaabbbbbaccabbcacbbcabcbaaabcbccbcbcacbacbbabcbbbacabaababcaacbaaccbaabcbbabbaabbbbbbbacbbcacbbaabbbbaacacbbbbabaaacbbbcaaaaaabcbbabacbcccabababbbabcbbbcbbbcaccbabbacacaabbccbbbababcacbbbbbabcbacbbbbcccaacbbabbbbcabbbabbbbbbabacccaaabcaccbcbabccbccbabaccbbcacababaabcccabcbbccacacbabcbcbaaacbacabacccccccabcabacabbbbbbaababaccbccaabcccbbaabacbbababcaaabbbbbabbbbacbbacaaaabcabacabaabbbaacbbaacabbcababaccbaabbccabbbbaacbabbbabaabbbbbaaabbabcccbacbbcabcbbacbaaacaaabccaacccbbbbcbacbaabbbbbbabcbbbacbababbcaaabbccccbbbcbabcbcbccbbbcbaacabcbbaabcacbbbbbbabbacbbcbbabaabbcccaababbaaacaccabacacbcbabaabcaaaaacbabaabbbbbacacbabbaccabbccaababccaacbaabbbaabaccbbcbcbbacbaaabbcbaaabbaaabcaabcabbbbbabbaaabbbcabbabcbccbbaacccbbbbbbbabbabaabbbbbaabacbabbcccaaaaabbbbaccbaccbcccaaabbbbbbbabcccaababbbbabbbbaccabaabbcbacbababbabbcaaabcabbbaccaaaaccccbcbacbbabbaccabaaabaabbbbaaaaacbbbabacacbbbbbbcbbcbccbacabbaabbccaccacabcababbcbbbbcbcabbcbbacbcbbaccaabbcabbbbacbbcabaaacbbcacaababbbccbaabcabcbcabcbccbbacbaacbbaabcbbbccabbaaccccabbbbaaacabaccbbbbbcbbbaacaaaaccbbbbcaaaabbababababbbbcabaaacbcbcbccbcbabaabbbbaacacaacabacaababacbbbccbbbbaacabcaaacbbccabaabbcccbaccccacbbcacaabbbabbaaaabbabcbcabbaabcbaacbccbbabcbabbcabaccaacaabcabbababcbabaccbabbbbbcaaacbccacaacbcbabbccacbaccbabbcbbbcbbabcaababcbaaacbcbccccaaabcbccbaabbbbaacaaccbcabbabbbbcaaabbbabacbbbcbaabbbacbabbabbaacbbabcabcbcbabbbabaabbacabacbbbcabcabbbcabcbaabbcbbbbabbcbbbcbcbcbabbabcaacacbcbabcbcbabbbabbabbbbabbabababbbbbbcbabbcbbabbbacbcbacbabaacbbbaacbcaabbcbbcbccbbbcaababbbccaccaabbacbabbbbababbbbcbcacacbacbbbbcabbacaacbbbbbbabbbcbababacbabccbbcacbcbbbcbbbbbcbbbababcbbbccbbbcabbbcbbccacacbcbaccbbaacababaabbccabaccababaabcbbcbbcccaabbabbbbbcacacbacbbbbaababacbbcabcabcbabbcaacbaaaabacabbaabcbcabcbababbbbccbabbaaacbcbacbbacabcbcbaabcaabbaabcbbbbbaaababaacbbabbabcbbbcbbaaacbabacbabaababbcaabbbbabbbaaccabcbbcbbacbabcabbbbcaacbbbacbabcbaaabaccbbccbcbbcbababbbccbaaaaacabbaabbacabbccabbababbcbcaabbcaaccabcbacaaaaacbbccbabbbacababacbaacabacbbcabccccbbbaacaaaabbbbcbcbcabcbacaacabccbcbcbbaacaacbababcbbcbbbcbbbaaabbcbcbababcabbbbcbbcabbabccabcaacaabbbbcbacbbababaabaabaccbabcbaacbaaccbaaabcbacbabaacaacbcbababbbbababbbbbbabbabbaccbcccbbaaccccbbcaabacaabcabcabcbbcaabaabcbbbbbcaccbaabbbaababbbcbcacbabacabbbbccabcabbbccabbabbbacbaaaacaccbcbcbcaabbbbbcbbacabbacacababbaabccabbcaababcbaccabaaabccaccabbccaacaaabacbaacabbbbbaaacaccabbbbcbacbbababaaabbcccabcbbabbbaabbbcbccacababbbbbbaacbcbcbaaacbccaacaabbccabbbbcbabaacbbbcbcbbcabacbbababbcbacbabacabccbbbaaacaacabaccbbaababbbccbcaabbbabacbbcbccaccaabaabcbabaccbcbaabccbccabaabbbabbcacaaaabcbabaacbcbabbcccabbabaaacababacacabbcbccbababbccabbbbcbcbcbabbbabbbabbcaaaccbcbabbbabababcbabbcacabbcbbbbbbbcccbaacbbaabcccaaabaaaaccbabaaababcbacbababccaacaacabbcabacbbccabcbababcabccbbbbbbaaabbabbcbabaabcbcbaabbbabcaacbabcabbbacaacbbabbcbcbacbacbaabbbcaaaabababbcbcbbcabbbbbbcbbcbaabbcacaaccbabbbbbaaccbccbcaaacbaccaaaababbbbaabababbbcacbbcbaaaababaccbccacabbbaccabcaaccbcbaabbbcaccbcbabbcbcacbbacabaababcbbacaabcabacabbbbcccbaaabaabcbbcbabaacaabaccbbccbabccabbbcaacbaaacaaaabbbabbbacbcaccbbacabbcbbabaabcaaabbcbacabaaaabcababbacbbbbbcabacbaacbbbacbbccbcbbabbbbbcacababcbacabcbaacbcbccccccacbbbbababbbabccbbbbbbaaccccabbbcbbcbaccbaaabbabaacabcabbbbbbcabcbbbacbacbbcbbcabbbbacbbcbbcabbcacaaabbaabacccacbccbbbbbbbccbaccabbcbbbabbabaabbaabbbaaabbcacbabaabacbccaacabcbacbbbacbbbccabcbbababbabbacbcbbabbcbabcbccabbbcaccccaaacaabbbbbbaabcbabbcbbcacabcccbabbbcbbccbacbbaacabcaaabbbabbaabbbcbbcbcabbbbbbbbccbaabbbabbabaabccaacbabbccacbabcaaacbbbaabbccbcabcbaaabbbabababbcacbbbbccbacbbbbbbbcbbaacaabbaabcbcbcabbccbcabbbccbcabbbabacbcbbacbcbbbcbbccaabbcbbbababcacbbacabcacbbabbcabbabbcbabaccbbabbbbcacacaccbbcbbaabbcbccabaabbbbbcbaabaabbbbcbbcbcbabcbcaacbcbcbbcabcbbaaccbbaaabbbbbaabbccbacbccabbabbcbabaaacbcbaaacabbacbbbbacabbcbcbaabbabcabbbccbcbbbaaabaabacbccacbbbcbbbabcbbbcabbcabbbaabbaaabcbabbcabbcbbacbaabcbbabbbbbbabababcccbcbccacccbcaaacbbaaabcabbbbbbbacccababacccbcbbbaacbbbccbbcabbcabbcbbbcbbbaabbababbccbbabbcabbabbbababcaabaababacbbcbbbbbcbcccabbbcbccacacbbcabbabbcbbcbbbbaabbbbcaccabbbcabccacbbcacbaabbcbbaabcbbbcbaccccabaabbbbaccaacacacbabacaccbabbacccabacaabcbcaabbbaabbbaabbcbabbbabbcababaaababaabbacbbbbaabbacacaabbcbabbaacabaaaccaabbabcbbbbccaabcbcaacacbbcbbbcbababbccabcbbbcccbbbabbabacbccbcbcccbacbcbabaaccbbccbcbbaabaacaabbcbbbaaaacaabbabcaabcbaacaabbaaabbbacbcbbabaabccbabcbcabccbbabbaaaccbbccacbbbbabaabbacabccbbbbbabbabbbbccaacababaabcbbabcacaaaacabbcccbbcabbacbbbbbababbacbbbacbcbbaacaabbbacbbbcbcacbccabbcbabbabbbbacbccbcaacbabcaabcbbbabacccbbbccccbacbacabaabcbcabbccbabccbcbbbbaabccaaabccabccabaaacbabbbbbbabbabbacacbcaacbbbaabcbabbbbcaabbbbbcbcbabaacaaacbbaaaccbbaabbbabacabbabbbbabbbbbbbbbabbbcbaabababaabababaabababaabbacbcbbcacabbaacbbbacaccabbababcbbbcbaccbaabbbabaaabaabcbcbbabcbaacabbcbacbcabbaabbbbbbbbaaabaababcabcaaacbcaaaabaaabacbbabaabbcabcbbcabbacaccbbbbbccbabbabcacbccbbabacbcbcbabbabbabbbabaaaabbababccbbbacaccbcbbaabbaccbbbcaabccaabcbbbcbbabcbacbbbaaabacaabbababaacbbbcbabaabcbacaaacaabbcbbaacbbaaccabbbbccbaaabcbbabbabccaababbabcccbccbacbcabcaccbaabaabbbbbacbbbbbcbcaccabcaacaacababbbabaabcccaababbbbababbcaccababcbaaabbaabbbcbcbaacaacbaccccbbabaabaababbbabcabbbbcbabcaabbcabcbabccabcaabbbcabcabbbbcabccbccbbccaabcccbabbbbbcbcaabbbbccababaaabbbaabaacbbabcbbcabbbabaabcacaabacaaabcccacbbccbacbbacbbbbcbbacaaaaccbbcbbaaabababbabbccbbaabacaccbcccbabcbbbacaaababbbabcbbaaaabcaabbacccbccbbacacaabccbbbaaabcaabbacbbbbbbcaaaaacaacbbccbaacbbabbbbaccabcabccbcaaccbacbbcccbbbabbbcacbaabaaaabbbcbcabcbaababbabbbbacbbaccccaabbabbcbababbaccbbabaabbabcacacacbbbbbabbbbbaabbbbabbcbabbcccbabbbabcabccaacbccbbbbabbaababbcbbacbccbabbbbcccabbbacccaabcababbbcabacbccbabbabcbcaaacaacbabcbbacbbacabaabccbbbbbcccacbbbbcbabbbcabaaabaaabcaacabacbacbabaabccccbbaaacabccbccbcbbbcabbcbbbabcbcbbbcbaaaacbcbbacabbbbbbbbbcbccbbbacbbbaccbbcabacbbbababbccabcaabbbabbbbcababccbcaacacaabcbabbbbbbbbbccabbacababacbacbbbbbacacbbcbabaacaacabbcaabbabbbbbaaabbbcbaabcbcccabbababcaaabbbbcbcabccbcaaacabcabacacbbcbbabccbbbbccabbbbbabbbcaaaaabbcbabbaaacbabaabacababbbbbabacbaacbaabababbcabbacbcbbbbaabbbaacbcabaaccabcaacabbcbacbbbcbabaababcaccbcbcaacbbcabbabaabaaacacbbacabcbaabcbbbbbbcababbbbcbbbbaaabcabbacbbcabaaabaabbababbabccbabaabbaacababaabcbcbbbccbcabcbacbbabcccbcbcbccacabbcbcbbbbbbaabbccbcabbccbbbabaacbabcbcccabacaacabbaccacabbcbbaabcaacaacccbabcacbbbccbabababaaababcabbbbbbcaaabacaaabbbacabbabbaabacbcbbbcabbaabbbbbbcbccbbcccaabbbacbbbbbaaccbbbbaabcbbbbaccbbcabaccbcaabbcababbcbccacbbcbbaaccacaaaaababbabccabcbcbbaaacbbbccaabcbbaacbcabcaabcbbaaabbcbcaaabacbaabacbbccbbabccbbabcbbccbaaabbcbbcacbbabaabacbccabaacaccbbcbbbababaccaaabacaabbccccbbbbbabcccccaccabacaaccacabbcbbbaccaaabcccbabcbbbbbaaabaaacbcabcabbcababbabaacbbacbbaaaaabaacabcbaacbbbabacaaabbcaccbaccabbabccabbcacccaaaabbbaaaabbabcababbbcbbcaacabbabacbcbbabbcbabcbbbaacacbbcabcabbbcacbbcccbcbbbbbbbcbcccacabbbaabaaaabaaabbabbcbbabaacacbbaccacbaacbbbbcbabcababcbabbbbccbaabbaaabbbcabcabacbcbbabacaabcabcabcbbcabbcacaabbcbaabababbbccabbbbcaacacccaaaabbaaabcbbbcbcabcbbcbccbbcbbccccaccabbababbcacbbbcaabcbbbcabcaabbacccbbccbbabccabbbccaaabaababbbbbbabbbbbbabbbaabacaabbbbcaaacccbbacbccacaccabbaccabbbcaacbcbbcbaaaacbaabacbaaacbaaabcbcbbbcbbcbabbacbbbabaaacabbcbaaaababcccacabbabcbbaaacccbbcbcabbccabbcbabbcbaacaacbbcbbacbbbabbcbbabcbbbbbaccbbbbbbbbbbcaaccbaccbbcaababbcbaabbbcabbbcccccccbacbbbbababaaabbbabaacccbccbcaccaacccacabacaacabbbcbbbbbbacaababbbccbbacbaababbbbbbabcbabacbabbaaccaababbabaabaccabbabbcccbaabbbbacbacabbbabbbaaaaaaabbcaaacbababbbcacababbaccbcabaacacbbbaaaabbbbbaabaabbcaabbbabbacbaaaccabbcacccccbacbbcbccbbbabaaabbcbaabcabbcbbcbbaaacacbbabbacbcaaabbaacacbbacabcccbbaabaaabbbacaabbaaccaacacbbbccbcbbabcbacbacbcbcbbacaaccbacbabcaacabbaabacbababbbbbbbbaaaccabbbacbcbcbbcaacbbabcaaaccbacbbbaacbaaabbcccbabcacabbabcbbbbcaacbbbbcccabcbcacbabbaacabbaabcbacabbabbaabbacacbccacbbacacbccaabaaaacabbbbcbbcbccbacabbbaaaabcbcaccbaabaacbcbbbcabacaaabbcaabaaacbbbcacbbcabcbabaccbbbabccbbbbbbabbcacbbcbbccabcaaaaaaccabcbacabcbababbbbcaaacabccaaaabccbabbbabbaabcccbabccabbbabacabccbbabaaababcaabcbccbbbbcabbabbbbbacbbcaabcabcbbbaacaaacaabbbabbbabbaacbacbaaaccbbbabcaabbabccbbaacaaabcbcbabbababccbaaccababaaaaaabcbcacacbbbbacbbbbbbbaabcabcbbbbabaccbabaabbbaccbccbaaacabbbbaccbbccabcbabbbbbbbbbbabaccabbbabcacbbaacbabacbbbbaaccabcbabbbcaaabaabbabcaaabacbcbcbaacabbabaabcccbabccabbabacbbbaabbbaacaacbaccabaabbbbaaacbbaaaabbbbabbbbcbbbcaaaaccbbaaabcbccabccbaabbbbbbabcababbbcccbbccacaabcabbaacbbcbabcaacaccbabbbabcababcbcaaaacbccbbbbbacbbacacaaabacacbabbcaaccacaccacaaabbcbcabbbaaabaccaabcbabbcbcabcbcbabaabbacabcbaababaacbacaababbcacababccbaabbbccaabacbbbcabcbcabbcacbbabbbbacbcbbaccbbbbabcaabcaaccacbaabbabbbaaabcbcbbaaccccabbbaacbaaacbbabaacabbabcbbbacbbcbbabbbcaacaccbbabaccbcbbabbcaabacabbbaabbabccbbaabbbbacbcbbbbbbbcaacbbaaabaabbbcabaaaabbcabcbbabacabcbacbbaacabbcbabbabbbabcaabccbcbbcbaccbbaaabbccccbababaabbaabbcbabbcbabccbbabababbccbcacacabbbbbccbbbabbaaabababbcbbaabcccbbcbbaabcaababcbbaacbcbccababcbbacbbbacabbbbaabbbabbabcacabbcbbbcaabacacabacaccbbbabaabaabbbaaabbbcabbcbbbbacbcbbbbbcbbbbbbbccbccabcabcbbcbbbacbcbcabcaacbcabaaabcaacbbbbaababbbbacbcaccbbbaacbbcbacbcabbabbbaccabcbcbbbacbccbcbcbabacbbbbbcbabacbbccabbbbcabbcababcabababbbbbcbbabbbcbaaccbcbbabaaabbabbbabbccabcbbcbacbacbacbbbbbbaacbabbcaababacbcabbbaabaabbaaaaabbbbcacbbaaabacabcbbbabbabbcbcabbbcbbacabbacbcbcabccacabacabbacbabaacbbaabccacabbbaabbaabacababbbabacbaabcacccaabbbbbbbcaaabcacbcbbcacbbbaabcabbbcbcacbabcbaaacccaababbcababbaaaaacabbccbcbbccabcbaabcbbcabbbbacccabaabaabccacababababbbbcababaacbbbbcaccaacbaccbacaaaabbabccbcbbaaabbabccaacbcaccbbbcbbaaacbbbaccbbbabbccbcacbbabaacbbaacbcbcbbbabbbabbacbbcbaabbbbabcbaabbbbcbaccabbcacbbcaacbcaabbccbbababbacbbbbbbababbabacabcbaaaccabcbbacbbabaabbbaabaaaaaababccaaabacabbcbbbbcabccbabcbabaccbbbabbbccbbccbaababbbacaacbcbbcacbbacbbbaacaacacaacbacbaabaaccbcbcbabbbaaccbacbcabbabbbbbaaabbacabacabbcabccbbabbacbcaaacbbccbacbabbbbcabbbbcbbbaabbbabbacababbabbaabbacbcacccbcaaacbbcacbccabbbccaabacaabcababbbbbbcabcbcbababbbabababbbaaaabbabaaabaaaaabbbbabbcbbccaabccaaababaacacaccccbcabbbaababbbabbbababcabbbcabcbaacbcbaabccacbcbbaabababcabbaabaabcbabbbbbbbccbbababbbccccbbcaccabbaabababaccabaabcaabcabbbaaabbaaaccaacbbacacbbaabcaccbcbbbbaaaacbabbabbbbccabcabbcabbabaacccabababcaabbbccccbbbcbacbacbbbbabccbbbabacccabcbabbbabbabbabacbabbccbcbbabbbbabcaabaccbcababccbaaaccaacbcbabccabbbbccbcabaacabcbbbbbaccbcaabbbcbabbbabaabbacabacaabcabccbaabbbbcacaabccabbabacbbabcbbaacbbcbaacbbccbaaaccabbbbabbbcabacbbbcbbaaccbaccbbbaaabccabbabbcabccccccacbbaabbcbbaabccbcbbabaccabbababcbbabaabaabbbabababbcbbbcaccacbbacbbbcaaacbbcacabcaaaabbbbcbbbcbabacabaabaaccabaccbbbcacbbbcbababccbbbbbcbabccaabcbabbabbaccbbbaaaacbaabacabbaabcabacbacbabcbccaabababbbabbcabcabbaacbbcabbcbbbbabbbacbabbabccbbbacbbbbacbaabaaabcaacbbacacacabbcababbcaababaccbcaaacbaacabaaaabccbacacbacbcbaabbbbbbbacbcabbabbbabcbbabcbbbbbabbbccbbaacababcbacbcaacbcacabcabccaabccbcbcbcaaaaaacccbbacbacbbabacbcccbacbcabacbcacacbbcbabbcbaccaaabbccccccbaabcacbabbaaabcbbacaacaacabcbcbbabaaabacbbababbbaabcabcaabababbcaabbbabaaccccabcbbbaacbabaaacacbaabababcababbbabbcacbbacaaabaacacabbbaabaaabbcbbaaccbcaabbacbbbacbbabaaabbabcbbabbcbcbbbbbabbbbccbabbaccbcbacbbbcccbacbabbbababbbababbbbccbbbbbbbbcacbbabcbaaacbbcbccbcbaabbbccabbababaabcaaabbbcabcabcbabcccaabaacaacbabacccbbcacbbbaaaabacbbbbaacbabbccccbbabacbabbcaaaaacaccbbbbabcbabbcbbbbbabbbacbababbbaabaabacbbbcbcabbbabacbaaaabbbcbaaabcabbbaabbbcbabcbbbcbbaccbbbcbbbabbabbccbabbabbabcbacbacabababcbbcababcbccbcbaaabcabcbbbbaaccabbacaaababbaacabaacbabbcbabbcbabbbbccbccabaabccbaacaacabbcacbbbbabacbcbaabbbbacbaaabbbcabbccbcacbbcbcccacababaacbaabbbbabbcbbccbbbbbacacabbaacaacabaabaabbcbbbababbbcbabbbaacabbaaaababcbaacbabbbccabbabbbacbcabaccabbbcbbabaabbbaaccbbcacaacbcbbabbbbbacccbcbcabcbacabcaacbbbacabbcacbccabcbaaabbccbaabbbabacabcacabbaaccacacabbbccbbaaaabcabacacabaaacaacacacbacaabcbcababbccbaacbbbcbcabcbcabcabbbbaaccaaccaabbabbbaabacaccbbaacbbabcbabbabaabaabccbbaacababbcaabbbbabbbacbbaabcbcbaaabbbbababccbabbbacbcccbbabaaabacbabacacbabacbcbbabbacbaababbcacbbbaabcbcabbbcbacbaccaabcbcacccbaacbabbaccaacaacbacbcabaccbbaabbaababbcbaabbcbcbaabbaccabaaabaaccabaccababbabccccbacaabbbbccbbabbbbbaacbbaacabcbccaacaaccbabbbcbbbbabbaaccaabbcbccabababaabacabacbbabcccbabcabaaabaacabcbbbcbaabababcabbaaabcbcbcaacbcbbbacccacbaabbbcbbbcbacbacbbabcabbbbacbbbcaacbcaaccabbbbabbbcbabbabccccccbabcaaacbbbccabcacabcbcbcaaaccbcacbcabaaaaabaabaaaabacbabcbcabbaacaaccabccacacbbbbccbccbabbcaacabccbaaabacccbacabcacbbbaaacacaabacacbbababababcbcaabbabbbbcbcbbcabbcbaaabbbbbabaaaaabcaabbbcbababbbbabaabbcccbbcbbaaacbbcabbbacabccbbacacbabacabbabbbcbacbacabaaaabcbbcabbbacacacabcbababcabaaaccbabcbaaabcbbabbabacbaacbcbbbabaabcbacabcaaaabbbbbcbabbababbbbcbababbccbabbbbcbaacbcaabaabbaabccbbabcbbbcbbcccbcabcacbaaaaaccabbaaaacbcbabbbbbaabcbbaacbbcbaabbccbbbbaccababbbbbbbbcaaabbacacbabaccbbaaaaaacbcabacbcbbbbcbcbbbbbcababbbbbaacabbcbcbcaabbbccabbabbbccacbabbbcacbabbbacababcabbbacaacbbcacbbcbbbcabcbacabbacacbaaabaacabccbbabbbbcbaccabbbcbacabbabcabaabcbabcabbbcbbcaaabcbacbcbbaacabcaabccacaaacbbbbcbbcaabbccccbbbcccacbccacacaaabcbcccbbacbabbbbcaabbaccbaababbbaaaccbbcbcbbabbaabaabaacbbaacaabbbcbccbbabbaacbbbaabccabbcaaaaacbcccbababccabcacbbacccbcabccbbabcbaacbbbbbcbbabaaacacbbbbbacabaacacbcbbabbbcbcbabcabcacbcbbbaccccccccaacbbbaabbaabbccacbcbbbacbbccacbbcbabbbbbaababacbbbcbacbacbbabcaaababaabcbacccbabcbaccbabaccbbabacbbbacabaaabbaacbaabcaaacbcbcccbbbbbaaaaabcabcbbbbbaaabbccbaccbbaaacabcbacbbcabaaaabcabbccbccbacbbbacccccbabbacabbaacacaabbbbabaabbbcbabbbcacbbbcbbaacabcacacaccbbcbabbbbbcaaabbbbbbccbcabbbcbbccbbbabbacbcbbccbabbcabccaababaccaccbbcbacbcbcacacbababbabccabaaabbbabbacbacbbbbcbcaccacbbabcbbbaccacabcbcbbcabcbbbabbababbaaacacabacabcbbacabaacbcbbbcacbbcbbaacbaaabcbababbcbbaababbbababcabcbbccbbccbbcacbcababbccbbbcbcbaaccaabbcaabbbababbaccbcabababcabbacbababbabccbbbbbcccbbaaababacabbacbabcbcacaaabbbacccaccbbbbcccbcacbbabaabacababccaaacbbacbacababaaaacbacbbbcbcbabbabacacbcacbaacacccaaaabaccbcaaacabaacabaabbbabbacccbbbbbbcccbbcabaabaabcbbbbcacbacbabaabbbccacbcacbbbbacaababcbcbbaacbcbbaabbcbbcabcaacaabbbabababccaccabbabbbbbbbbbbbbabccabbccbabacbbbbbccababbaabbaabbacccabbbabcabacbbcbcbaaacbbcacbcbbbaaaaacbbacccbbaabaaabbccbabbacbbabbbaaabbacbbbcabbabaaabbcccaccaabcbcacbbcbbabbabacbacbbabcabacbbabacbacaabcabbabbcabcabbcabbaacabcbbbacbccbbabbabccabcccacaaaabbbccbabacbacacbaabcbbaacacacabbcabbacbacbacbabbacbcabbbabaabbccbaabaabaccccbbaacababcbcabaacabccaabacbaabcacaaabbcccbacbbbcabcabcccabccabbaacccbbabbabbccacbccaaababbabaababbcbbbbabcbcabaaaaacacabcabacbbaacbabcababbbacabbbcbbbacbaacbabbbbcbbcbccabbacabbbcbcacbbbbcccbaccababcababbcbbababcaacbabccabbcaaccabcbbcaabbccbcbbbbabcbabaaabcaaabbaabaabccaabbbbcacabbbbbcaabacbacabbaaccbaababbabcbccbccbbaabbbcbcbaabcacbaaaaabbaaacbbcbcabaaabbbaaabbacccbcbcaaababaabbcacbcbbabcbacbbbaaaabbacbbccbbccbbcaabbccbbbaacbaabaabcbbcbaabbabcbbaabbbabbcabacbabaaababbaacacabbcbcaaaaabbcbbbbcbbcbcaabaaabbabcbbabbabcbbcbbaaabccbacabbcbbaccbcabbccabcbbaccbacbaabcacbccabcbabaccbcbaaaababacacaacbabcabbcbabcaaacbcbbcbaacaababbbcababcbacccbbcaabababcacccbbababaabcbabacaccabbbcbacbaacbabcbcaabbcbaabbbbbbbabbabaccbcbbbabaacbbabbbccacabbbcccbbcabbbbbbbbbcaccaaaacabababbbbabaaabcacbacbccabbbbaacacbbbcbabababcbacbbaccbbacaccaaaabacabcaabaacbaabbaaccbbbbbacaabccccbbbacbaabbbccbcbbacacbcbbaabbbbcbabbacbbcccacbcbcabccbcabbabbabcbbcaaabbbcbaacacababacaababaccaacbbbbcaaababbaabbbbccabbbbcaccabbcaacababcababcbabaabbcacaaccaacbaccababcbbbccbcbbabbbcccbbbacbbabbacbbbababacbbccbbcbcacbaacbabbbbbabbaabaaaabbbbbaacabbaabbacabcbbbbcbbcbabacbcbbabbaacbbaabbbaaababbacbbcacacaaaabbbcbbbbbabcabbbcbabcbcccbbcccbbcabbbbbbbaaaaaacaabacacbaaacabaacccbccbcbbaaacaaccbaaabbacbbbcaabbcbacbbcabcbcbbcccbabbabaccbbcbaabbbcacbaaabaaaaacabaabcbbabcccccacacbbcaabbbbbcabccbabaaaacbaacbbaccbabcccbbacabacbabababaabcbacaaacaccbabccbbbbcbaaabcbacabbcabacabcbcbbbacccaabbbbbcbbbabbabbaacbababcbbaabacbbbbcaacbabbabbaaabbcbbbaaabcbccbbabbaaababbbccaaccbbacbabbbabbcbbcbbacbbababbacbbbbbabccacaccaacbcbbabccacbcbcacbbacacacaabbbbbaaacbbababaaaababababbabbcbaabbababbbbacbaabbabccbccbbccbcabcbbabbccaaaabbbabccbacbababbbcacaabacababaacacabbbbbabababbaaabbabaccacbbaaccbbaaaaaccbaabbbbcaccbbabcaacacbbbbbbbbbabababcbbababbbbcbcbacaaaabbbacbbacbbacbbabacbbbccabbcabbaabccaacbbcbbbbcbaabbccbbaaabbacbccbacbaabcbbbcbbcbbaccbbbbbbabbbcbcbaabaacbcabbbbbabcaabbaaaacaccaccaccaaabbbbacabcbacaaccbabcaabbbacabcccaabaaaccbababbcbbbbabbbbbbaababaacbcabbaabbccaccbaccccbabbbbbaabccaabbbaacacbacbcabbbcccbbcbbbbcbbbabbaccbbacbbccbacacaacbbcabaaccabacbccbabbacbacabbbbcacccbbaababcacaaabbcbbacbbaabbabbccbbcbabcbbcbcbbaaacbcabaccababacacacbcbaabaacbcbbbbcbbbbbacbacbbcaabbbcabbbabbbaacabaaaaaaccbcbcacbbcacbaabbbccbbbbbabbbcaabbcbcbacbbccacbabacccacabcaaaaaaaccbaabcbbbccccbabacbabbbabbbcbaccabbacbcbcbccca
cbbcbbbbbbccccbcbbbbbccbbbbcbbbbbbbbccbbbbacbbcbbcbcbbbbcccabbbbbbcbbccaccbbcbccbcbabbbbbcbbbcbbbcabcccccbbcccbcbbbbbbbbbbbbbcbbcbcbcccbbcbcbcbcaccbcccbaccbccacbbbcbcbbabbbbbcabbccacabbbbcbbbbcbbbbbcbbcccccbbbbbcbbcbcbbbccbbbbbcbccbcbacbabbbcbabbbcbbabbbcbcbcbbbcbbbbbbbbbcbbbbcabbbbabcbbbbcbbbbbccbbccbbbccbcbcbbbbcbbbbbccbccbbbbbbbcbbccbbabbbbbbbbbcbccabbbcbbbcbcbccbccbbcbbcbbccacccbcbcbcabbbbccabbbbbcacbabbbbcbabbccbcbbbcbcccccbcbcabbbbcabbbabbbbbbbbbcbbbcbcccbbbccbbbbcbbbbcbbbcbcccbbcbbcbbccbcbbcbcabbcbbbbbcccbcbbabbbbbbbbbbbbbbbbbbcbbcbcbcbabbcabccbccccbbbbcabbcbbccbcbcbbccbbbabcbccbbccbbbbbcbbbcbbcbbbcbcbbaccbbbbbcbbbbcabbcbbccccbccbcccbacbcbbbbbbacbccbbbbbbbbbbcbbbccbcbbcbbbcbbccbbcbbbcbccbccbcbbbbbccbcbbbaccbbccccbacbcbccbcbbbcccbbccbcbbabbacbbacbcbcbccbbbbbccbbbcbcbbbbcbccccbbbcbbcbbcbbbbbcbbbbcbcbbcbbabbbbcccbbbcbcabcbbcbcbcbbcbccabbcbbbbcbcbbcbbaccbbbbbccbbccbcabbbbbcbbbabbcbbbbcbabbbccbbccbbabcbbcbbbcbbbbcacbbbbbbccbcbccbcbbbbbbcbccbcccbcbbcbcccbbbbbbbbcbbcccbbbbabbbcbbcbacbaccbbbbcbcbcbcbbbbbbbcbbbbcbccbbabcbbbbbbbbbcbbcbccbbbbcbbbbbbbbbbcccbbbbcabbbbcbabbcbbbcbccccbbccbbccbcbbcbbbbbbbbbbccccbbbbbcbbbbcaccbcbcbbccbbababbbcaabbbbbcbbbbcbabcbbbcbbcacbbbbbcccbbbcabcabccbbcbababcacbcbcbcbcbbcbbbcbbcbbabbbccbbbbbbbccbbbccbbbbccbbbbbbbcacbbbbbabbbbcbbbcbbbcbcbbcccbabcbcbcbbcccbbcbbcbccbccbcbcbcbbcbbbbcabbccbbbbbbcbcbbcccbcbbbcccbbbbbbbbbacbbccbcbbbbcabcccbccbbbccccbbcbcbcbbcbbbcbbcbcbbcbbbbbcbabcbcbbcbbbcabbcbbccbbbcbbcbbbbcbbccbbccbbbbbbbbbccbbcbabcbbbbbcbbcbbbbbbbbcbbbcbbbcbbccbabbbcabcbcbbacbbcccbcbcbcbccbbcbbbbbbbbcbcbcbbbcbcbbcbbbcbbcbbbbcbbcbbabbbcbabbbbcbbcabcbbcbbccbbbaccbbcbbcccbbbbbbbbbacbccbbbbcbccbbbbbabbcccbbbbaccbbccbccbbbbbccccbcbbbbbcbcacbbbbcbcbcbbcaccbbccccbbbcbbbbbbcbbabcbbbbbbbbbcbbbccbbcbcccbcbcbbccbbcbbbbbbbcbcbcbbbabbcbbbbbcbcbbbbcbcbbabbbbbcbbcaaccccccbbbccbbbbcbbacbcbccbbbcbbbbbcbbbbcbccbcccccbbbbcbbbbbbbbbaabbbbbbbbbbbcbcacbbcccbbbabcbbcbccccbcbbbbacbcbccbbbbcccccbbbcbcbbcbbbbcbbcbbbbbbbcbbcccbbbbbcbbcbbbbbbcbabcbccbbccbccbcbcbbbbbbcbbcbbcbbcbbacbbcbcccbabbcbbcbbbbbbbcbbbbcccbcbcbbacbbbccbcbbbbbbcabbbcbbcbbcbbbbbbbbbcccbcbccbcccbbbbcbbbcccccbcccbbbcbcbcccbbcbcbbcbbbcbcbbbbbcbcccbbcbcbcbbccbbacabbbbbbbbbbbccbbbcbccbbbbbbbbabbbcbbcbbbcbbcccbcbbccbccbbbbbbcbcbbbbbbbbcbcbcbbcbbbbbbbbababbbccbbcbcbbcbbcbbcbcbccbbbabccbbcbbbcccbbacbbcbbccbcbcbbbbccccbcbbbcbccbbbbbcccbbbacbcabbbbcbbbbcbbccabcbcbbccccbbbbbbcbcbcbbbbcbbbcbccbcabbbbbbbccbbbbbbccbbcbbccbccbbccccbbcbbbcbbbccbcabcbcbbbcbcccccbbcbbcbcbbccbccbccccbbbbbccccbcbbcbcbabccbbcbccbbcbccbcccbccbbccabbbbccbbcbbbcbcabbbcbbbcbbbbcabbccbccbccbbcbcbbbcbbbbbbbbcbabccbbaacbbbbccbccbbccbccbaccbbbbcbcaccbcccbcbbbbbcbbbbcbcbbbbbcbabcbcabbbbcbcccabbbbabbccbbcbbcccbcbbbbcbbccbbbbcbbbbbbccbbcbbbbbcabbbbcbbbbcbcbcccbbcbcbbbbbcbcbbbbbbbbbbbcbabbbcbbbbcabbbcbbbabcccbbbbcbccbbcccbcbbbbbbbbbccbccbbaccbbcbbbbabbbacbbbccbcbbbbcccccbbcacbcccbbccbbbbbbbbcbcbccbbbbacbbccbcbbcccbccccbbccbcbbcbbbccbbbccbbbbbcbbbbbbccbcbbacbbbccbbcbbbcbccbbccbbabbbbbbbbbbbbabbcbccbbbbbbbcbbbbbbbccccbbbcbbcbccbbcbbcbcbbcccbcbbcbbbbbbcacccbbcccbcbbcccbccbccbbbbbbbcbbccbbbcbbbbbcbcbbbbbbbbbbbabcbbccbbbcbcbbbcbbcbbbcbbbcbccbcbcbbbcabbcbcbbcccbcbabbbbbbbbbbbcbbbbccbbcbcbbbcbbbbbcbbbcbcbcbccbabbbcbbbbabcaabccbbccbbbcbbccbcbbcbcbcbcbccccbbbbbcbbcbbcbbbbcbbbbbacccbbbbbbcccbbcbbbbbbaccccccbbcbccbcacbbbcccbcbcbbbacccbbbbcbbbbcbbcbbbcbbbbcccbbbbcbbbbcbcbbbbbbbbbbbcbbccccbbbbcbcbcbccbbcbbbbbcccbbcbbcbbbaabbcacbbbbbccbcbbbbbbcabcbbcccccbacbbbcbbabbbbbbbbcbbcbbbccbbbcbbbbcbcccbbbabbbcbbbbcbccbcbbabbcccbbcabbbbcbcccbbccacbbbbbcbccccbccacbbcbbbbbcbcbcbbbbbcbcbbbabbbbccbbcbbbccbccbcbbbcbbccccccbcbcbbbbbbbacbbaccbbbbcbabbcbbcbbbcccbccbcccbbbbbbbccccccbbbbbbcbbbacabbcbbacccbbbcbabcbcbbabbcbcbbbbbbbbccbbbcbbbcbbbbccbbbcbbbbbbbbbabbbbbbbcbcbbbbcbbbcbcccbccbbbccbbcbbbbbbcccbbbcccbcbbcbbcbbabccbbbcbbccbcbcbcbbbbcbbabbbbbbcbbbbbbbcbcbcbbbccbbbbccbbbcbcccbccbcbbccccbcbcbbcbbbbcbcbabbbbbbbcbbcbccbccccbbbcbbbcacbbbbcbccabbcbbcbccbccbbccbcbbbcbcaccbcacccbbbbccbcbbbcacbbbccccbcbbbbbbbbbcbbbbcccbbbbbbbcbbbbbcbcbbcbbbbcccbbcbcbbbcbbcccbcbbbbbccbcbabcbcccbcbbbcbccbccbbbcbbbacbbcbbbcabacbcbccccbcbccbbbbbaccbcbcbcacbcbbbcccbbcbacbbbabcbbabcbbbbccccccbbcbbbccbcccbbcbabbccccbbbbccbbbcbbbbbbcbbbabbbcbcbccbbcbbbbbbbbcbbcbcbabbbbcbcbbcbbbbbbbcbccbcbbbbbbcbbccbcbbcbbbcbbcccbbbccbbbbcbbbcccbbbbbbbcbbbcbbaabcbabcbcccbbcbbbcccbbbcbbbcccbcbcbbbbabbbbbbcbbccbbcbbbbbbbbcbcbbcbbcbcbccbbcbbabcbccbcbbbcbbcbbbcbcbbbbcbbcbbcbbccbcbbbcbbbcbacbcabbcccbcbcbbbbcccbbbbcbccccbbbbbccbbcbbbbbcbbcabcbcabcbccbbbccbabbcbbbbcbccbbccbbbbbcbcbbcbcccabccbcbbbbbbbbbbbbbacbbbbbcbbbbbbaccbabbbbbcbccbccbbccbccbcbccbbbbbbbcbbbbbbbcbbbccabaaccbcabbbbcbbccbbcbaacbbacbbbbbbbbbcbcbbbbcbbbbcccbbbbbbbcbbccbbbccbcbcbbbcbbbbbbbbbcccbbcbbcbcbbbbcbbccbccbbcbbcbbbbccbbbccbbbcbbbbabbcbcbccbbcbacbccbcbbcbcbbcbbcbcccccbcbbbcbcbcbbccbacacbbbbcabcbcbbcbcbbbbcbbbcbbbbbabbbbcbbbbbcbbbbcccbcbbccccbcbbcbccbcbbabbbbbbcbbbbbbbcbbbbcabcbbcbbcccbcccbbaccbcccbcbbbbcbbcbbbbbbacbbbabbbcbbcbbbcbcbccbbccbabbbcbacbcbbbbbbbbcbcbbcbbbcbcbbcbbbcbbcbbcbccccbcbbabbcbbbcbcbcbcccccbbccbbbbabcbbabbbcbcbbbbbbcbcbbcbbbabbbccbbcabcbcbbbcbbbbbbacbccabbbcbcbcbbbbbbcbbccbcbccbbbcbbbbbcbbbbcbcbbbbbbbcbbcbbbbccbbbbbbacacbbccbcbbcbbbbabbbcbcbccccbbcccbcbbccbccbccacbbcbcbcbcbbcbbbbbbccbbbcccbcbbbbbbcbaccbcccbbbbcbcbbcabcbccbcbbbbcbbbccbbbccbcccbbbbbcbbbbcbbbbccbbbcccbccccccccbcbbcbbcbcbbbbcbbccbcccbbcccbccccbcccccbbbbbbcbcbcbbbbbbbcccbbbbbbccccbbbbbbbcbbbccccbccbbbbbbbcbbbaccbbbbabbbbcbbbbbcabbbcbbccbbcccbbbbcbcbcbbbcbcbabcccbbabbcbbcbbbbcbcbbbbcacbbccbcbbcbbbbcbcbbabbbccbcbcbbbbbbcbacbcbabbcbbbbbbbbbcbbcbacbbcbbcccbcbbccbbbbbbbbbbbbbbcbbbcccccbbbbbbbcccbbbacbcbcbbbcccbbcbcbbcbcbcbbcbcbabbcbabccbcbbbbbccbbbcbbbbbcbcbbbbacbbbcbbcbbacbcbccbcbbcbcbbbbbbbbcbcbbcccbbcbbbcbbbbbbbcabbbbbbbbbcbccbcbbbccbbbcccbcccaacbbbbbbcbcbbbbbbbcbcbabbcbbcbcbbbcbbbbbcbcbccbbbbbbbbcabbccbbbbbbcbbccbbbbcbacbcbbbbbccbbbbcbcbbcbbcbacbbbcbbbcbbcbcbcccbbbbbbbcbcbcbbbbbbcabbabccbbbccbbbbcbbbbaccccbcbbcccbbbccbbccbcbbccccbccccbbcccbbbbbbbbabcbccbbabbcbbbbbbbbbbbbbabbbbcacbbbabbcbbbbbbbbcbbcbccbcbbbbcbbcabccbbcbabcbcbcbbbcbbbbbbcabbbbbccaccbbcbbbbbccbcbcbbcbbcccbcbbbccbbbbbbabcccccacbbbbbcbcbbcbccbbaccbcbcbbcbbbccabbcbbbbccbbcbbabbbcbbbbbcbcbccbbbcbbcbcbcbbcbbbbbbcbbbcbabbbbbbccbccbbcbcbbbcbbbccbbabccbcbbbcbbccabacbbbcbbbcbbcbcbcaccbbbabcaccbccccccbcbcbcbbbbcbbcbbbbbcbcbccbbbbbcbbbbcbcccbbbbcbcbbbbabbccbccccbbabcbcacbcccbbcbbbbbccbcbbbbcccbbbbbbcbbbccbccbbccbbbacbbbcbbcbbbcbbbccbcccbbcbbbbbbcbbbccbcbbbcbbbcbcbbcbbaccbbcbbbbbccbbbbccccbccbbbcbbbbbbccbbbcabcbcbabbccbbbcbbbcbbbbcbbcbcbbbbbbbcbbccbabcbbbbccbcbccccbcbbbbbbcbbbbabbccbbbbbbbbbbbbbbcbcccabbcbcccccbcbccccaccbbbbcccbbcbbbcbbbcabbcbbbccbccccbbbccbcccbccbcbbbccbcbbccccbaabbcbbcbbacbbbccbbbbbcccbbbbbcbbbcbbccabbcbbcbbbbbccbbabbbbbcbbcbbbaabbbbcbcabbcbbbcbcbcbbcbcbccbcbbbbbbbbcbccbbbbcbccbbbcbbbbacbabbbbcbccacbbbccccbbbcbbcbabbbcbcbcbbbbbaacccbacbaabbcbbbccccbcbcbcbbcccbbbcbbcbbcbbbbbbcbbabbbbccbcbabbbbbbbbbcbbbbbcbbacbbbbcbcbbcbbcbcbcbccbbbccacbbbcbcbbcbbccbbbbccbbbbbbbbbcbbcbcbccbbbbbbcccbbbbbbbbbbccbbccbbcbcccbcbbabbccbcbbcbcbbabccbbabbbabcbcbbbcbbbbbcccbbcbbccbacbcbbbcbbbbbbbbbbbcbabbbbcccccccbcbcbcbbabbcccbbbbcbbabcbccccbbbbcbbcccabbbbbbbbcbabbabbcaabbbbbbcbbcbabbbccbbabcabccbcbbcbbbccbbcccbbbbbcbbbbcccbbbbbbbbccccbbacbbcbccbbabbbbcbbbbcbcbccccbcbcbbbbcbbcbbbbbbbbcbbccbccccbccbbcbcbbbcbbcbbbbacabcbbcbcbbbbbbcbcbbcbbcbcbccbbbbbbbcbbbbbcbcbbbbbbbbbccbbcbcccabcabbbccbbccbbbbbccbcbbccbcbbccbcbbccbbbccccccbcccccbbcbbcbbbbbbccbcbcacbccbbbcbcbbbbccbbbccccbbabbacbbbbbbbbcbbbbbbbbbcaccbbcccbcbbbbbccbbbbccbbbcbccccbbbcbbcbcbcbbcbbbbbcbcbccbccccbccbccccbcabbbcbbbcbcbbbbbcbccbbbbcbbcbcbbcbbbbbbbbbcbbbbccbbcbcbbcbcbbccacccbbbcbbcbbaabbbbbbbbbbcbabbcbbccccbbccccccbbbabccbcacbbbbccbbcccbccbbbccbcbbbbbbccccbbbbbcbbccccbcbbbcbabbccccbbccccbbbbcccbbbbaccccbbbbbcbabbcbbcbbbbbbcbbbbccbcbcbccbccccccccbbbbacbccccccbccbabbbabcccccbabbbcbccbcbbcbbcbbbbcbbbbabbbabcbbbbbbcbbbccbbbbcbccbcbbbcccbbcccccbcbbcbbbbabbbbaacbcbcbbbbcbbcbbbccbcbbbbcccbcbbbbbacbbbcbbbabacbbbbbbbcbbbbccbcbbbbbbbbcbccccaccbcccbbbabcbcbbbcbbccbbccccbcbccbbbbbcbccbbcbbcbbbcbbcbcbbabbbbabbbabbbcbbccbccbbbcabbbbbbbcbbcbbbcbbbbababcaccbcbbbbbcbbbbbcbbccbccbcbbbbccbbbbcbcbbbcbcbbcbacccccbbcbbbbbbbcbbbbbcbbccbbbbcbbbbbccccccbcbcbbccbbbbbbcccbbbcbcccbcbbcbabbbccabbbbbbbbcbbbcbcbcbbbbccbcbbcbbbbaccccbcbbcbcccbcccccbbccbccbcbcbccbbcabbbcbbcacbbbcccbccccbcbccbbcbbbcbccbbbcbbcbbbcbbcbcbbbbbbbbccbbbbcccbbacbbccbccbbbbcbbcccbbbbccbbbbcbbcbcbcbbbccbbbbbbbcbbbccbabccbccbccbcbcbbcbcbcbabcbcbbbcbbbbbbbcbccbbbccbbcbbcbbbcbbccbcbbccbbcbcbcbccccbcbbcacbcccbcccbccbbabbbcbbbccbcbcbbbbbcbbbacbbacccbbbbbacbbcbbbcbcbcbbbbccbbbcccbbbcbbcccbacbbbcbbcabcabcbbbbcbbcbbbbbbbccbbabbbccbbcbccbcccbccbbbcbbbcbcbccbbccbbcbcbcccbbbbbccbcbccccbcccbbbcabccbcccccabbbcbbbbccbbbccbcbbbcbcccbcccbcccbcacbbcbccccbbbcbbccccccbcbbbbbcbbbbbcbcbcbbcccbbbbbcbbbbbcbbccbbbbbccabcccbbbcbcbbbcbcbbbbacbbccbbbbcbcbbcbbcbbbccbcbccbccbbcbbccbbbccbcbbbbbcbbbbcbbcbabbbbcbbbbbbbbcccbbcbbccaccbbbbbbbcbcbccbbbbbcbcbbbbbbcbabbcbbbbcbbcbccbbbbbbbbcbbcbbbbcbbabbbcbabccbbbcbbbcbbbabbcccbbcccbccccbabcbbccbcbbbbbbcccbbcccbbcbcbbbcbbccbbcbbcbbbbcbcbcacccbcbcbccbbbccbbbbccbccccbcacbccccbbaccbbbcccbcbbbbbabcbbcbccbcbbbccbbbbbbbbcbcccccbbbbbcccbbbbbbbbbbccaacbbcccbcbccbcbbbbcccbcccbaccbbbbcbbcbccccbbcbbcabbbbbbbcbbcccbbbbbbbbbbcbcbbbbcbbbbbbbbbcbccbbbcbbbbbccccbcbccbbbbbbccbcbabcbbbccbbbcbbccbbbabbcbcbcaccbcbccbcbbccbbbbbbacbbbcbbbbcbbbbbcccbbbbcbcbcccabbcbcccbcccbcabcbcbbbcbbcccbcbbbccbbcbcbbbbcccbbbcbcbcbaccbbcbabcccccbabbcccbbbabbbccbbbbbbbcbcbcbbcbcbcbbcbbbbbbbcbbbbbbbbcccbbcabbcbbbccbbcbccbbccccbccccbbbcbcabcccbbbcaccbccbbcacbbccbbbbbbccbcccbbbbcbcccbbbbcbbccbcccccbcbbbbcbbccbccbccbcbbbbcccbbcccbbcbbbbbcbabbcabbcbccbbbbbbccccbcbccabbbcbbbcbcccbabccccbbcbccbbbbcbcbbbcbbcbbbbbbbcbbbbbccbbcbbbbbbbccbcbbbbbcccbbbcbbabbcbbbccccbbbbbbbbcbbbbbcbbccbbbbbcabbbcbbbccccbbbbbbbaccbbabbcbbbbcbbbcbbbccbbcbbcbccccbcccbbbbbbcbcbbcbbbbbbbbbbbbbbcbcbcbbcbcbaccbcbccbcbbbbbbcbccbbcbbccbbccbbaccbbbbbbcbbcccbbcbcbcbbcbbbbbccbccbbcabbcbcbbccbbbbbbbccbacbccbbbcccccccccbbbcbbbcccbcaccbbbbcbbcbbbccbbbcbbbcbbccbcccccbcbccbbcbccbbbbbcbcccbcacbbcbbbcbbbbcbbcbcbbbcbcccccbcbbbcbcbbabcbbbcbbbbbbacbbbbbccbbbbbbccbcccbbcbbbcbababbbbbcbbbbaabbabcbbbbccbbbbbcbbbacbbbcbcbbcbbbbcbccbbbcbcbcccbbbbccbbcbcbcbcbbcccabccccbbbcccbbbcccbbbcbbcbccbbccbcbbccbbcbcccbcbbcabbbcbcccbbbbbccbbbcccbbbbbbbbbbcbcbbbbbbbbbbcbbbbbbbbbcccbabbcbcabcbbbcccbcccbccbbcbbbbbbcbabbcccbbcbbbbbbcbcbcbbbccbbbbcbccbbbbcbbcbbbcbccbcbcbbccbccbcbcbcbbbbbbbbccbbccbbbbcbbbbbbcccbcbbbbbbbcbbcbacbbbbcbcbbbcbbbbbcbcbbcbcccbbcbbbcbbbbbccabcbccbccccbabbbcbcbbccbcabbbbbacbcbbabbcccbbbbcbbbbbbbbbbbbbcabbcbbbcbbcbbbbcbcbcbbabbbcbbcbcbbcbbccbbbbbcbcbbbccbbcbccbbcbbccccbbcbbabbbbbbcbbbbbcbbabbcbccbcbbbbbbbcbbbbbbcabbbaabbbabaccbbbacbbcbcbcbccbbcccbbbcabcbbbbccbccbbcbbbbbbcbcbbcbbccacabccbbbbbbbbabbcbbbbbbbabcbcccbcbccbbbbccbbbccbbbbbbccbbbcbcbbcbccbbcbbbbcbccbbbccbcbbccbcbbcbbbabcbacccbccccbbccbcbbacbbbbbcccbcbbbccbbbcbbcccbcbbbcbcbbbcbcabccbbccccbbccbccbbbbbcbbccbcbbbbccbacbbccbcbcbbcbcbcbcbbccbcbbbbcbbcbcbbbbbbbcbbcccabbcbbbbbbcbbcbcbbbcbccbccbbbbcbcabcbcbcbaccbbbccbbbbbcbcbcbcccbcabbcbcbcbcbbbcbbcbcabbbbabbacccbccbbbbaccccbbbccbcbbbbcbcccbcbbbcccbabccbccbbcbbbbbcbbcbbcbbbbbcbcccbcbcbbbbbcbcbcbbcbbbbcccccabccbbbcbbbccbccbbabbbbccacbbcbcbabcbbbbcbcbbbbbacccbccccbcbbbbbbcbbbbbbbcacbbbcbcbcbccbbbcaacbcabbccccbcbcabbccbbbbbbbcccccbbbbbbcbbabcbcbbccbbcbbbcbbcbbcbbbccbcbcbbccbcbbabbcccccbbbcccbbbcbbcabbcbabbbccbccbbbbbbbcbbbcbccbbbbccbbbabbccbcbbbbbcccccccccbcbbccbbcccbbbbbccbccbcbbbbbccacccccbbbccbbbbbbbbbcbcccbccbbbbbbbcbbbccbcbcbbbabbccbbcbbbbabcccbcbbcbbbbbbbbcbcbbbabbcbbbbbbbcbbbcbbbbabbbbbbcbbbbbcbbbbbbcbbcccbbbcccacbbaccbcbbbbcbbbcbcacbbbbbcbbcbcbbbcbbbbccbbbcbbbccbbabbccbbbcbabbbbcbbbbbcbbccbcccccccbcbbcbcbbbcbbbbbcbbcbbbccbbabbbbbbcbbbbbbbcbbbbcbbcbcbbcbbbbbcbbbbbbbbbbcbbcbccccbbcbbbcbbbbbcccbbbacbcbccbbbbbcbbcbccbbcccbbcbbbbabccccbcbcbcabccbbbcacabcbbbcbcbcbccabccbbcbbcbcbbbcbbbbbcbbbcbbcccbbccbccbcccbbbbcbcbabcbbbbbcabbbbbccbcbbcccbbbccbbccccbbbabbbcbbbcbcccbbbbcbbbbcbbcbbcccbbbbbcbbbbbccccbbbbbbbcacbbbcccccbbcbbbccbbbbccbbbcbbbcabbcbcbcbaacbbbacbcbbbbbbbbccbcbbccbbbbbccbcbbbbccbcbcbbccbaccbccbbbccbbccbbccbbbcbcbbcbbcbbccbbccccccbbbbccbbbbaccbbbccbbbabbbcbbbccbbcbcbbbbbbbcbcbcbcbcbbcbbccbccccbbbcbabbbbaabcbcabccbbcbbabbbbcbcbbbbbbbbbcabccbbccbbcbbcbabbbacbbbbabbbbcaccccbccbcbbbbbccbbcbacbbccccbbccabbbbcbcbbbbccbbbbcbbbcbbbbbcccbabbbbbbbccbbbbbccccbbbbbbcbcccbbbcbbccccbbbbbbbbcbbbbbbbbcbbbbcbbbbbbbbbbbbbcbbcccbbabcbbbbcccacbccbcccbbcbcbcbbcbbbcbbcacbccbbcbbbcbcbacbcbcbcbabcbbabbbccbcbbccbbcccbbcbbaabbcbbcbbbbbcbcbbcccbbbbbbbcbcbccbcccbcbbccbbcbbbcbbbbbcbccbbcbbbbbcbbbbcbccbbcbbbbbccbbbbbbcbccbbccbccbbcbcbbcbccbbbccbcbcbcccbbbcbccbccbcccabacbbabbbbabbbbccbbbbbbbbcbbcccbbbbbbbbbbcbbbcbbbcbbbcbbccbacbcbbbbcbbbbbbbcbcccbbbccbcccbbbccbbbbbbcbbbbccbcbcbbbbcbbbbbcbbbbcbbcbbcbbcbcbcbccbbcbbbbacccbcccbbcabcbcbccbccbbcbcbbbcbccbcbbbcbcccbbccbcbcbccabbcccbbbabbbbbbbbbcbbbbbbcbbbbbcbbcbccbbcbbbbcbbbabbbbbcacbcbcbbbbcbbbbcbbbbbcbbbbacbbbcbcbbcbabcccbbabccbbbcbbbcbbbcbccbbcbbbbbbcbbbabcbcbcbcbcbbcbbabbbacbcbbbbccbbbcabbbbccccbcccbbbcccbbbcbcbcbcbcbbccbccbbcbbcbbabbbbcbbcacccbbbcbcaccbcbcccbbcbbbbbbaccccbccccbccbacbbccbccbbbbbbccbcbbcbcbbcbbbacbcbbbbbcbcbbbbbcbabbbbbabacbbbbbbbbacabbbacbccccbbbbabbcccccccbcbabbcbbbcabbbcbbbcbbbbbcbcbcbbcbbbbbcbcbccbccbbbbbbccccacccbbcbcbbbabbcbcbcbcbbcbbcbbbbccbcccbccbbbbcccccccbbbbbbcbbcbcabbbbbbcbcbbccbbccbbcbbbbbbbabbbbbbcbbbbbbccbcccbcbbcbbcbbcabbbbbbbbbccbbcbbbbbbbbbbbbcbbbbcbbcbcbbbcbcbbcbbbbbbbbbcbbbbcbccbcbcbabccbbbbbbbbcccbbbbbbabbbbaacbbbacbccbbbbbcbbbbcccbccbcbcbcccbbbbbcabbbbbccbbccbbbbcbbbacbcbcccbbcbbaccbaccbbbccbbbbccbbbcbccbbcbbcbccbccbcbcccbbbbccbccbbbcbbbbbbcbccbcbcbbcbcbbbbbbbbccbccbbcbbbbcbbbcbccbbbbbcbbbbbcbbbbbcbbbbbcbbabccbbccbbbcbccbcbcbcbbcbbbbccccbbbcbbcbccbccbbbccbcbcbbbcbbabbcbbccccaccacbbcbcbbbcbbabbbbbbbcacbbbcabccbcccbbcbbbbbbcbbbbbcbcbbcbcbbccbbbbccbccbcbbbaacccbcbcbcbcccbbacbcacbcbbbbccbbbbbccbbbbbbcbbcbbcbabbbbcababccabbbbbbbbbcbbabcbbbabacbcbbccbbbbbcbbcbbbbcbcccbbcbbccbccbbcbbbbbbbcbbbbacbcccbbabbccbbbbbcbcbbbbabbbbcbbcccccbbccbbbbcbccabbacbbbbbbccccbccbbacbbbbacbccbbcccbcbaacbbcbcbbacbcbbcbbbbcbabbbcbcbcbbcbbbbccbbbbccccbbbbbabccbbbbbbbbbbabbbcbccbcabbbbbbbbabcbccbbbbcbbbabbccbccbbbbabbbbcbbbcbbbbbccabccbcbbcbbbccbbccbccbbcbcbcbbcbbbbccacbcbbbbccbcbbbbbcbbbbbbbcbcbccbbcbbbbbbcbbbbbbcbbaccbbbcbcbcccbbabbcccbbbbabbabbcbbcbbcbcbbccbcbbbcbbbbcbccbbbccbcbbbbbbcbbcbcbbbacbcbbcccccbbccbbcccbcbbccbccccccbcbcbbbbbbbbbbcbcbccbbabbaabcbbbccbbcbcbbcccbbbbbbbcbbbbcccbbbbbcbbbbbcbccbbbcccaccbccbbccbcbcbabcabbcbbbbbccbbcbbcccbcccbbbbbbbcccbbbbcccbccabbbcbbbbbbbbcbcbbccccbcccbcbbbacccbcbccbbbbcbbbacbbbbbbccbcbccbbbccbcbbcbbbccbbbbbcbcbbbbccababbbbbbcbbccbcbbcbbbcbcbcbbccbcccbbbcbbbbbcbccbbcbccbbbbcbcbcbcbbccabbcbbbbbbabbcbcbbcbbbbcbccbcbbcccbcbbbbbbcbcbbcbbcbbbbccbbbbbcbbcbccbbbbbbbcbbcbcbbcbcbcbccbbbbbbbbcbbbbbccbcbccbbbbbcbcccccbccbbcbbbbbccccbcbbbabcccbbbcbcbbbcbcccbcbbbbbbbcbcbcbbbcbbaaacbbabcbcbbbbbacabcbbbbcbccccabbbcccbbbbbbbcbbbbbbbbcbbbbbbbbcbbbabbbbcccbbcbcbcbbbcabbccbbbbbbbbbbcbbcbcccbbbcbbbbbbbbbbbbbccbbbbbbbbbcccbbcbbcbbbbcbbcbccbbcbbbcbcbbbbbcbbbbbccbbcbbbcbcbcbbbbcbbbccbbbbbbacbbbbabcbacbcbcbabcbbcbcccbbbbccabcbccbbcccabbabcbcbcbbbbccbcccbbbbcbbbcbbbbbbcbbbcbccbcbbbcbbbcbbbcbbbcbbcbbabccbccbbbcbbbbbcbbbcbbccbcbbcccbbbbcbbbcbcbbbcbbbbbccbbbcbccbccbcbbccbcbbbbcabccbbbcbcbbbccbbbbcbbbcbbcbcbbbcbbbcbbabccbbccbbbabbbcbccccbbcbcccbccbbcbbcbbccbbbcbcaccbbbbccbbcbbcbbbbcbcccbacbabbcbcbbbbbcbbcbbbcbcccbbbcccccbbbcbbcbbbcbbbcbbbbbbcbcbbbcccbcbbbcbbbbbbcbbcbbcbcbbcbcbbbbbbcbbacbbcbcbccbcbccbccbbcbabcbbbcbbbbbbbacbccbbccbbccbbbcabbbbcbbcccbcbbbcbbcccbbcabbbabccbbcbbccbcbcbbbbbbcbbcbbbccccacbbbbabcbbcbbbcbbbbcbbbbbbbabbccccbccbbcbccbcbbbbccabbbcbbcbccbbbcbbccabbbbbbcbbbbccbccbccccbbcbbccacbbbbbbbbcccbbcbbbcbbbbbccbbbbbbcaccbccbbbbbccbbbbcbccbbccbcbcbbbbbcbbbabbbcbbbbcbbbbcccbcbccbbcbbcbbbbcbcbcbcbccbcbabccbcbbcbcbcbbbccbcbcbbbbabcbbcabcccbbcbbbbcbbbbccbcbccbbbbbcbbcbbbbcbbbbbbacbbbbbccbabbcbccbabcbbbbbbbbcccbabbbbbbbcabbccbbbaacbbcbbccbcbbbbbbbbbcbbcbbbbbcbbbaccbbbbcbbbccccbccbcbcacbcccccccbcaccbbbbcbbccccbbbcbcbcbbbcbcbbbbbccacbbbbbccbbbbacbccbbbcbccbbbbcbaacbbbbbbcbccbabbbbbcbbcbbccbbbbabbbcbbcbcbcbbbbbcbabcbcbbcbbbcccbabbcbcbbcbcbbaababccbcabbbbccabbbbbbccbbcbbaacabbbbbbccccbbabcccbcbacbcbcbbbcabcbccbbbcbccccbcbbbbbbbcbbbbcbbcbbbbcccbccbbbbcabbccbbcbbbccbbbbcbbcbbbccbbccbbbbccbbbbcbbcbbbcbbcbcbbbbbbacbcbcbbbbcbbcbbccbbbbbbbccbbbcbcbbbacbbcbbbbccbcacbbbbbbbbacbbbbbbbbbcbbabbbbccbbbbcbbabbbbbcbbbcbbbbbcbbbbbcbabcccbbcccbccbbbbbbbbaccbbbcbbbbbcbbbbbcbbbcbcbbcccbcccbcbccbbccbbbcccbcbcbbbcbccbbcbcbbcbcbbccbbbccbbcbbacbbbbbbbcbbccbcbcbccbaccbbbcbbacbbbbbbccbcabbcbcbcbcbbccbcbbcabbbbbbcbbccbbcbbbcbbbbccbbcabbbbcbccbcbccbbaabcbcabbbcbbbbbcbbbbbbbccccaaabbbbbbbcabccbbcbbccbcbbbbbbcccabbbcbcccbbbbcacbbcbbbbcbbbcbbbccbbbbbbbbcbbcccccbbcbbbcbbbbcabbbbbbbbcbbbbbcbbaccccbbbbbccaccbacbccccbbcbbbbbbcccbcbbbbbbbcbbabbbbcbcbcbccccbbbbcbcbbbbbcccbcbcbbabccbbbcccbbbcabbcbcbbbbabbabbbbabbcbcbcbccbbbcccbccbbbcbcbcbcbbccbbbccbacbbccbaccbcabbbcabbcbbbcbbbbcbccbcbcccbbcccbbbabbcbbccbbbbcbbcabbbccbcbaccbbccccbbccccbbacbbbcbbbbcbbcbcbbbbabcbbbbbbbbbccbbccbbbbbbbcbabbbcabaccbbcbbbcbbbbbbbcbbcbbccbbbbbbbcbcbcbbbbbccbbcbcbbbbbbbbbbbbbcbcbcbbaccbbcccbbcbbbccbccbcbbbcbbbbccbaccbabbbbbcbcbbbcbbbaccccccbbbbbccccbcbbbbbbbbcbbbcbbcbcccbbbcccbbcbbbbbbcbcbbbccbbcbccbcabcbccbbbbccbcbcbbcbbbbbbcabcbcbbbbbcbbcbbcbccbbbcbbcbcbbbbbcbbbbcccbbcccbbbcbbbccccbbbbcbbbcbcbaccbbbbccbccbcbbabbccbbbccbcbbcabccbbbcbcacbbcbbcbbbccbbbcbbacbbcccbbbbcbbbbccbbbbbcbcbbbcbbbbccccbccbccccccbbbaccbcbcccbabbbccbbccbbbcccbbbccbcbcbcbbbcccbbbbbcccbcbbbccbccbbabcbbccbcbccbbbbbcbbbbccccbbbbbccbbbbabbbabbabbbbcbbbabcbccbbcbbcbbbbbbbbcbbcbbbcccabcbbcbcbbcbbbbbcbcbbbbbbcccbbccbcbccbbbbccbbacbbbbbbabbbbbbcbcbcbbcbbbbbccbbbbccccbabbbcbbccbccbcbbbcbcbcbccacbcbccccbcbbbbccbccbcbcccbbbbbcbbcbcbbcbcbbbbcbcbbbcbbbbbcbcccbbcabbbbbbcbbbbccbcacbcbbbbacccccbcbcbbbbbbbbbbcccbcccbbbbccacbbbbbccbbcccbcacbccccbbbbbcbccbcbbbbcbbbacccbbbcbccccbbbbbbccbbbcccccbbccbcbccbbbcbcbcbbbbbbbbcbbccbcbbbbbbbbcbbcbbbbcbcbbbcbbcbcbbbbbbacbcbccccccbbabbbbcccbbcbbccbccabcbbbbbabcbbbbbbcbcbbcbcbbccbbccbcccccbbcbbcccbcbbbbbbccbbbcbbbbbcccbbbbbbcbbcccccbbccbccbbbbbccccbbbbbbccbbbcbbacbccbbcacbcbbacbbbcccbccbcbbbbbcbbbbbccbbbbbccbcccbbbbbbbbbccbcbbcbbcbbcbbcbbbbcbcbbcbacbbbcbbcbccbbcbcbbbbbabbcbbcbbccbbbbbbbbbbbbbbbbcbbcccbbbccbcabccabacbcaccbbbcbcbbcbccbbbbbbcbbbcbcbbbcbbbcbccbbcbcbbbccbcbbbccbbcbbcbbbbbbcbbcbcccbbbbcbbbccbcbbccbcbbbccbbcbbccbbbbbbcbcbbbbbbbbbacbbcbbbbccbbcbbabbbbbbbcabbccccccbcbaccbcccbabbccccbcbacbbcbccbbbbbbbccbbbbbacccbbbbbcbbacabbbbcbbbcbbcbcbccbbbacbbccacbcbbcbbcbbbbbbccaccacbbbabbbccbbcccbcbbbbbacbbbcbcbbbbbccccbbcbbcbcbcbbbcccbbbcccbcbcbcbcbcbcbbbbbbbacbbcbbcbbbbbbccbbbacbbbbbbbbccabbcbbcccbccbcbcbbcbcccbbbabcbbbccbccbabcbbbcbcbbbcbbbcbcbbcbbbbbbbacbbccbbbbbcccccbcccabbcbbbbbbbbbbbcbbbbbccbcbbbcbbcbbbbcbcbbbacbbcbbbbacbbbbccbccbbbbbcabbbccbcabcbcabbccbcccbbbbbabbbbccbbbbbcbbbbbcbbbbbbcbababbbbcccccbbbccbbbcbbbccbcaacbbbccbbbccbcbcccbbcccabbcbcbcccbbcabbaccbbcbbbbbbbbcbbbcbccbcbbbbcbbccbbbcccbbcbbcbcbbbccbbbbbbccbbcccbbbcbcbabcbbccccbbcbcccccccccbbbbbbccbbbcbbbbbbbcbcbabbcacbcccbbbcccabcbbcccbbcbbbbbcbbccbbbbbbabccbbbbbcbbcbcbcbcbbbbccbbcbbbcbabcbcabcbbccbbbbbbbcbcccbbbccbbbccbabcbbbbcccccbcccccbccbbbcbbbbcbbbcbabbbbbccbccbcbbacabbbccbbccbcccbbbcabccbcbbccabcabbbbbbbbbbbbccccbbbcbcaacbbccbbbcabccbbcbccccbbcbbccbcbcbccbcccbbbbbbbbcbbcbcbbbbbbbbcbcbbbbbbbabbccbcbbccbcbbcbbbbbbbbbbbccbbcbbcccccbccbcbbbbbbbbcaccbcbccccbbccbccccbccbbcbbbbccacbbbbbabbcbcbbbbbcacbbcbbbcacbcccbbbcbbbbcbbcccbbbcbbbcbbcbcbbcabacbbcbbbccbbbcbbbbcccbbbcbbcccbbbbbbccccbbcbccbcccbbbbcbbbbbbbcbabbbcbbbbabbbcbbbbbabcbcbbcbbbbcccbaccbcabbcbcbbbbbbccccbbbbcbcbcbccccbcbbcbbbbbcbcbbcbbabbbcbbbbbabcabbcacbcbbbccbaabbbbcbbabbbcbbcccbbccccbbbbbbbbabbcbccbcccbcbbcbbcbccbbcbbcbccbcccbbbbcbbcbbbbcbabbbcabbcbbbcbbbbcccbbbbbbbbcbbbbbcbbbcbcbbbbabbcbcbbbcbbccbacbcbbbbbbcbcbbccccbbcbbbbcbbcbbcbcbcbbccccbaccccbbcbbcabccbbcbbbbcbbbbbbbbcccccbcbbcccbbcbcbcbbabbbbccbcbbbbcbbbbbbbbbabcbcbbbbccbbbbbbbbbcbbbcabcbcbbccbbccacccbccccccbbbbbbbbcbbbbbcbcbcbabbcbbbcccbbcbbbacbbccbbbbccccbccbcbccbbbbbcbbccbcbbbccbbcbbbccbbbbbccbcbccccbcbccbbbbbbcbcbcbccbbabbbccabcbbcbbbbcbbbcabbbcbbbcabbbbcccbbacbcbbccbbbccbbcbccbccbbcbcbbbbbbcbbbcbbcbcbcbcbccbcccbbccbcbbbbbbabccbcbcbbcacccccccbbbbbccbbcbbcccabcbbcbbbbcbbbbbcccbcacbcbbbbcbcbcbabcbbcbbcbbbcabbbbbbbcbbcbbbbbcbcbcbbbbccbbcbbbbcccabccbcbcbbaccbbcbcbcbcbabbbcbbbbbbbccbbcbbbbccbbbcbbcbccbbbabcbbbcbbabbbcbbcbcbcbbbbbbbcbbbbbacbccccbbbcbbccbbbcbbbbbbcaacbbbbcbbcbbabbcccbcbcccbbccbbccccbcbcbcbcbbbbbbcbccbcbbbbbbabbbbbbcbbbbbbcbbbbcbbbcbccbcbbbbbbbbbcccbbbcbcbbcbcbcbcbbbbbbccbbbbcacccbbbcbbbbbbccbcbcbccbccbbbcbcbabbccbcccbcbcbcbbabbcbbccccbbbbbcbbbbbcbabcbcbbbccbcbbbbcbcbbbbbbcbbcbcbcbcccbbbccbbbbbcbcbbcbcbcbbbbbbbbcbcbbbbcbbbbbcbcbccbbbaccccbcccbbbcccccbcbbbccbbcbccbbccbbbcbcccbbbccbbbbbcabbbbcbcbbbcbbbbbbcbbccbbbcbbcbcccbbcabbabcbcbbccbbbbcbbccbbbcbbbbbbbbbbbbcbcabcbcbbbabbcbbccbbcacbcbbcbbbbbbbcbbbbcbbbacbbbcbcbcbbcbbbcbcbbbbcccbbbaccbbcbbbbcacbbbbbbcbbbbbbbcccbbcbbcbbbbbbbbbbccbbccccbabbcbccbbccbbbcbbbbbcbbccbbccbbbabbcbbbbbcbbbccccbccbbbbbbbcbbcbbbbbabcbabbbbbbbcbbbbbbccbbccbcbbbbbbbbbbbcbcbbbbbbbbcbccbccbbbbcbbbbbbbcccbbbbcabbbcbbbbbbbcabbbaabcbbcbbccccbbbcbbbbcbbbbbccbbccbbccbbbbbcbcbccbcccbbbbcbcbbcabbbccbbbbbbcbbcbbcccbbccbcbbcbccbbcccbbbcbbbcbcccbcbbabccbccbcbbcbbbbcbcbbcbbbccbbbbcbbbcccccbccbbccccbbcbbbbcbabbbcbbcbbcbcbbbbbbcbcbbbbbbcbbccbbbbcbbbbbcbbbccbbccbbbbbcccbbccbbabbbbbbbccbccbbccbacbbccbcbbbbbbcbbbbcbbbbcbbbcbcbcbbbbbbcbbbbcbbbbacbbccbbcbbcbbbbbcbcbbbccbbcbccbbbbbbbcbcccbbbaccbbccbccccbabcccbbbbcbbbbccbaccbcbbbbbbccbbbccbcbbccbbbcbcbccbbbbbbcbccccbbbccbbbcbccbbbcbbbcbcbcbbccbcbbbbbbcbbbccccbabcccbbbccbcbacccbbbacbbbbbabccabbbbbbcbbbbcbbbbbbbccccbccbcbbbcbacbbcbbaccbbbcbbbbbbcbbcbbbcbbbbbcbbbccbbbbcbbcccabbabbbcccbcbcbcbacbbbbbcbbcbcbccbcbbbbbbbbcbcbcbcbcbcbbabbbabbbccbccbbcbcacbbccbbbbbbbcbbcbcabbbbcbcbbbbcbbbbcaccbcbbccbbbbcbbccbcacbbccbbcbbcbbbbbbbbbcbccbcbcbcbaccbccbbbbcbbbbcbccbbbbbbcccbcccbbccbbbbccbbbbbbbacccbbcccbcccbcccccbbcbcbcbbccbbbcbbbcbcbbbbbbbbcbbbbbccbcbcbccbbbccbccbbabbcbcbcbcccccbcccbcbbbbcbcbcabbbbbcbbccccbbcbbcccbbbbbccaabbcbbbbbabbbbbcbbccccbbbbbbbbcbbcbbbbbbccbabcbbbcbbbbcbcccbbcbbbcbabbcbbccbcccbccbcbcbbbcbcbcbbbbcbcbcbbccabbbcbbbccccccbbbacccbcccccbbbbbcbbcbbcbbbcbbcbcbcbccbbcbcbcbbbcccbbbbbccbbcbcbbbbcbcbcbccccbccbccbcbccbbcbbbbbcbbbacbcbbbbbbcccabbbcbbbbbbbbbbcccbccbbcbbbbcbccbbbccbcbcbbbbcacbbcccbcbcbbbbccbcbbbbbcccbccbabccccbabcbcbbcbbbabbcbcbcbcbcbbcbbbcbccbcbccbccbbccbbbbbbbbcbcbbcbbbbbbbabbbbbbccbcccbbbcbbbbccbabcbbbcbbabbbccbcbbccbcbbbabbbbbbccbcbbcccbbbccbbbcccbbccbbabcbacbbccbbcbcbcbcbbccbbbbbbbbbbbbccbbbcbbccccbcbbcbcbbabcbbcbabbcccbcbbbbbbbbbbbbbbbbbcbbccbbbbbcbccbccbcccbcbbbbbcbcbbbbbbccbcbccbcbbcccabbbbaccbbbcbbccbbbbcbbbbbcbbbbbbbbcbbcbccbcbcabbbcbbcccbbbcbbccbcbbbbbccccbcbbccbbacbbbbbbbcbcbbbbbccacbccbbccbbbbbcbbcccbcbcbcbbcabbbccbcbcbbbbbaccccbcbccbbcbbbcbbbcbcabbbbbbcbcbbbbbccbcbccbbbbbbccbbbbbcbbabbcbacbcbcbbbbcbcbccbbbbabaccbbcbcbbbcccbbbabbbccccbbcbbbccbbbbcbccbccacbccccbabbbbacbbccccccbaccbbbccbcbcbbbcbbbbbccbccbccbbbbacbccbbbbcbbccccbcbabcbcbbbbbcbbbcbbbbbbcbcbccbcbbcccbbbcbabbcbbbbccbbbcbcbbbcccbcacbccbbcbbbabbbcbbbcbbbbccbcccbcaabbccbcbbbbbbabbcabcbbbbcbcbbcbbbcbbbabbcbccbacacbccbbbcbcbbcbcbbcbbbbcccbccbcbbcbabbbbbbbbbcbbccbcccbbbcbbbbcbbcccbbbccbabcaccbbccbbcbcbbcbbbcbbbcccbbbcccbbbccbbcbcbbacbcbbccbcbbccabcbbbcbbbbcccbbbbbbcbcccbbccbbbbbbcbbbbbbbbbcbcbabbbbbbcbbcbbbbccbccbcbbbbbbbbbbbbcbbbcccbbbbccbcbcbbbbcbbcbbabbbcbbbcccbbccbbccbccabbbbbcbbbbbcbcbbbcbbbccbcccabbcacccbccbcbcbbcbbccabbcbbccbbbbbbbbbbbbaccbbbcbbbbbbbbbbbcbbbbbbbbbcbbbcabbccccbbcbbbcbccbbccbaccbbbbbbbbcbacccbabbbbcbbbbcbcbbbcbbbccbccccccabbcbbcbcbbbbbbcbcbcccbbacaabbbbbbbaacbccbbbbbcbbbbbbccbbccbbccbbbcbbacbbccbbbbbccbbbabbcbccbccbcbcbbbcbccccbbccbbbbbccbbcbbbcbcbcccbcbbbccbbbbbbbbcbbbbbbbbcbbcbccbbccccccbbbbbbcbbbcccbbacbcbcbbbbbcbbbabbccbababbbbbbbcccbbbbcbcbcbbbcbbcbbbbcbbcbbabbbbbcbcbcbbbbbbbbbbbbbbccbbbbbcbbabbbcbacbccbcbbccbbbcbccbbbcccbbcbcbcbbbbacbbbcacbbcbbbbbbccabbbcbbbbbbbbbbbcbacbbccbbcbcbbbbccbbbbacbbcbbcccbbbabbbbcbbcbbbbcbccccbcbbbbcbbbcccccbccbbbcababbcbbcbbbcbcbccbcbcbbbbcbbcbbcbcbbbbbccbbbbcbcbccabbbbbcbcccbbcbbcbcbcbcbbbbbcbcbbcbbbccbcccbbbbbbcbbcabbbccbbcbbbccbcbbbbbbbbcbbcbbbbcbbbcbcbcbbacbbbbcccbccbbbcbbcccbbbbbbbbbcbbbccacbcbbccbacccccbcbbbccabbcaccbcbabbbbbbccbbbbbccbbbbbcbbbcbbbcabbbbcbbabbbbbabbccbccbbbcbbbbbcbbbccbcbbbbccbbaabbbbbbbcbccbbbbcbbbbcccccbccbbcbcbbcbbcbbbccbcbbccbbcccbbbccbbbbcbcbbbbbbcbbbbccbbccbcbcbbbbbbccbbacbbbcbbccbbbbbbbbcabbbcccabbbccbcbbbcbbbbcbbbccbbccbccccbcbbbbbcccbbcbbbacbcacbbbbbbcbbbbcbbbccbcbbccbbbbbbbabbcbbbbccbbbbbbbbcbbcabbccbccbabbbbcccccbbbbbcbbabcbacccbbbbbcbbbbcbbbcccbcbcbbcbbbbbbbcbbcbbbbbbccbbcbbcbcccbabccbbbbbbbcbcbbbcaabbaccbbbbbbcbbccbbbcbcbbbbbcbbbccabcbbbbbbbbbccccbbbcbbbcbccbbbccbbbbbbbbcbcbbbbbbbbbbcbcbbabacbcbcccbbccbbcbcccbcbccbbbccbbbbbbbccbbbcbcbbccccbcbbbcbbccbcbbccbbbabcbabcccacbbbbcbcbbbcbcccbcacbbaccbbbbbcbccbcbbbbbbbbbbabbbbbcabbccbbbbbccbcbbbcbcccbbbcbccbbbccbcbbbabbabbbbcbcabccacbbbaccbacccccbcbbbbbbcbbcbbcbcbcbbbcbbbbccbcbcacbcbcbcbcbbbcbcbbbbcbbbbbbbcbbcbbcbbccbbcabcccbbbbccbbbbbbbbcbcbbbcacbcbbbcbbcbbccbcbbbcacbbbccbaccccccccbbcbcbccbbbccbbcbbbcbbcccbccbbcbcbcbbbbccbabbbccbbbabccbbcbcbcccbcbbbccbbcbcbbbcccbcccbcbbbbbcbabbbcbbbbcbbcbcbbbbbbbcabcbbaccbbcbbcbcbbbcbbbcbbbbbbbcbbbbbccbcabcbccbcbbbccbcccbcbbccbbcbcbabbbbcccbccbbcbbcccbbbcbbbbcbcbcbbccbcabbcbbabbabbbbbbcbbccbbcbccccbcbcbbbccbccbcbbbbbccbbbbbbbbbabcbbbbcbbbbcbbbcbbccccbcbccbccccbbccccbcbbbbccbbccbbbccbccbbbbcbbbccbbcccabbbbbbcbcbbcbbbbccbbbbbbcabbccbbabccbcccbbccbbccbbbbbccbcbcbbcbbcccbcbbcbcbccbbbccbbbbbbbbcbccbccccccbabbbbbbbbccbcbcacbcbbbccccbcabbbccbbbbbbbabbbbbbbbbbbbbbbcbccbbbbbbcbbcbbbcbbbcbbbcbbbcbbcbbbbbbbbabbbccbcbbccbcccbbcbabcccbbbbbcbbcccbbccbbbbbcbbcbcccbabbbcbbbcbccccbabbbbbcbbbbbbbcbbccbbbbbccbcbccbbcbacbccbbbbbbbcbbbcbbbcbccbbbcbbbbbbbcbbcccbccbbbccaccbbbabcbbccbbbcbbbbcbbccbbcbbccccccbbcbbbaabbbbbbaccbcbbbcbccbcbcbbbccbbccbbbbbbbcbbbbcbcbbbbcbbcbcbccbccbcbccbbccbcccbbccbbbccbcbcbcbacbbbbbabbccbbccacbccbbcccacbbbbccbccbbbccccbbbbbcccbbbbbbcbbbbbbbcbbccbbacbccbbbcbbccbbbcbcbccbccbbcbbbbbcbcbccbbbbcbbccbbcbabccbbcbcabbbcbbacbccbbbbccbcbcbbcbbbbbabbccbabbccababbbbbccbbcbccbcbabbcbabbccbbbbcbbbccbbbbbbccbcbbbcbbbbbbbbbcbbbbbbcbcbbcccbbbbbbcccbbcbcbccbbbbcbcbbbbcbbcbccbbcccbcbbabbbbbcbbcbbbacbcbbbbcbcbababcabbcbbbbbbccbbbbbbbcbcbbcbbcbcbbbcccbcccbbbccbccbbcbbbbbcbbccccbbcbccabbbbbcbbcabbcbccbccccccbbbbbcbbccbcbbbbbbccbcbcbbabbbbbcccccbbcbbbbbccbcbbcbbacbbcbbbbbbcccbacbbbbacbbbbcbbabbcbcbbabbabbbcbcbbbbcbbbcbbcbbbccccbcbbbbbcbaabbcbbacbbcbbbcbbbcbbbbcbbbcbcbcbbbcbbbccbcbcbcbbbbcbbbbcccbbabccbbcbbbbccbbcbbbbbcbbbbccbbbccbbcbcbbcccccccbcbbbccbbccccbcbcbccaaccbbcbccbbbccccbbbabcbcbbbbbccbccbbbbbabccbbcccbcbbcabbbcbbcbbcbcbbbbcccbbbbbcccbbbbbbcbbbbcbbbbbbbbbbbcbbccbbbcccbbbcccbbcbbbbbbbcabcacbccbbcbcbbcbccbcbbbccccccbcccccbbbcbcccccbbbbccccbabbbbbbbbbbbbbbbbccccbcbcbbacabbaccbcbcbbccbbbbbbbbbbbbbbbbbacbcbcccbcbccbcbcccbbbbbccbbbbbcbccbcbbcbcbccbbcbbbbbccccbbbcbcbbbcbbcbbcccbcbbbcbcbbbbbbbbbbcabcbbcbcbcccbcbcbcbbbccbccbbcbcabcccbbbbbcbbcbbbbcbbbccbbbbbbcabccbbbbcbbcbbbbcbbbbcbbabbbbbcccbccbbbbcbbbcbbcbbcacbbbbcccbbbacbbbbabbbcbbccccbcbbcbcbccabbbccbcbabccbabbbcbbabbcbbbbbbcbbbbbbbbbcbbcbbbbbccbcccbbbccbbabccbcbcbbbccbbcccbbccbcbcbbcbbccaccaabccbbcbbbabcbbbbbccbcbbcbbbbbbcbbbcabbbbbcbbbbcbbbbabcbcabcbccbbbbbbccbbbcbbbbbbbcabbbcccbccabbccbbcbcbcccbccccbbbbbbbbbcbacbccbbcccbcccbccabbbbbcbcbacbbbccbbacbbbbbbbbcbcbcbbbacacbbbcccbbcacbabccbbbbbbcbabccbbabbcbcbbcbbcbbbbccbcccccbcbbbbbbbbcbbbcbbbbccbbcbaccbbbccbcbcbbbbcbbbccbbcbbbbcbbbbacbbccbbcccbbcbcbccccbbbbbbbbbbccbbcbbbbbbcbccbcbcccbbbcabbccbbcbabbcbbbbcbcbbcbbbbcbbbccbcbcbcbcbbacbbbcccbbbbbbbbcbbcbbcbbccbbccbcbcbcccbccccbbccccbcbbcbcccacbcccbbbbbcbbcbcbbbbbbbbbbbbbbbbcbaaaccbcbabbbbbbbbcbcbbcbbbbccbbcbbcbbbbbbcaccbbcbbacbabcbbcbcbbbabacbbbcbcbcbbbacabbbcbbbcccbcbccbccbccccbcbbacccbbbbbcbbbcbbcbbbbccbcccbbbbcbbccbbbbbcbcbbcbbbcbbbbcbbcbcbbbcbbcccccccbbbbcbbcbbccbcbcbabbcbbcbccbcbbccbccbcccccccbbcbbccbbbbbbccbccacbcbbbbbbbcbbbbcbbcbbbbbbbbbbaabcccbbbbbbcbbcbbbbbcbbcbcbcbbbcbcbbcccbcbbbbbacccbbbabbbcbbbbcbccbcbcbbcbcabcbbbbbbbccbcbccbbcbcbbccccbbcbbbcbbbbccbbbccccbcbbcccbbbbbcbccbcbccccbbccbbbbabbbbcbccbacbabbccbcbbbabbbbcbbbbabbbcccbbcbccabcbbccbbccbbaccbccbbbabbccccbcbbbcbbbcccaabbbcccbacbbbbbccbcbccabbbccbbbbccbcbbcbbbbbbbcbbbbcbbbbcbcbbccbcbbbbcccbbbccbbccccbcbbccccbcbbbcccbbcbbbcbccbcbcbbbbbbbbbcccbcbcbcbbbbcbbbcabbcbcbbcbbcbbbbcbbbbbccbaccbcccbbbbbbcbcccacaccbccbccbccccbbcbcbabacbbcbcccccbcbbbbabbbccbcabbbbbbccbbbcbcbbccbbccbbbccbbccbbbcbbbbccbcbbbcbbbbbccbcbbbbcbccccbcbaccbcbbbccbccbccbccbbbcbbcbbbbbbcbbccbbcbaccbbbbcbcbcbbcbbbbbaabbabbbbcbbbbbbccbcbcbcbcabbbcbbbbbcbbccbaccbbbbbbbbbcbccbcbbbbcbbcbbcbbbbbbcccbccbcbacabccbcbbbbcbbbcbbbbcbbcabbcbabbbbcabcccbbcbbbcbbcbbbbbbccccbaccbbcbcccccbbbbccbbbbbcbbbbcbcccbbcabbbbcbbbbccbcbbccbccccbbbbbbbbcbbcbcbbbbbbbccbbbbbbbcbcccbbbbbbcbbabcbbbbcbcbbbbabbbcbcbcbbccbbcaabbbcbabcbbbcbbbbccbbbbbbbbbcccbbcabcbbbbcbcbbbbbbcbbbbcccbccbbbabbcbbbcbbccbbbbbabbccbbccbbcbbabcbcacbbbbcbbbcbbbccbabbbbbccabbbbcbccbbcbcbcacbbbbbbcbbbbbbbbbbcbbbcccbcbcbcbccbabbbbbcbbbbcbcbbcbccbbbbbccbbbbcbbbbcbcccbcbbbbcbabbcbcbabcccbbbbbbbbabbbcbabbcbbcabbbbccbbbbbbbcbcccbcbbbbbbbbbbbccccbbbbbcbbccbccbbcbbccbcccbbbbcccbcbbccbbbabbbbcbbbcbbcbbbcbbcbbcaccbbbbbbbcbbbbcbbbcbccbbbbbcbcbbbbbbcccbcbbcbabbcacbbbbbbcbbcccbabcabccbbbcbcbbcccccccbccbbbccbbcbbcbbccbcccbccbbbcbbbccbbcccbbcbabcbbbbbccbbcbccccbbcbbbbcbbbcbbcbbccbbbbacbbbbbcbcbbbcccbababbbbbcbbcbbccbbcbabbabbbabcbbbbbccbcccbcbcbbcbcbcbcbbccbbbbbbbbbbbcbcbbabcbccbaccbcbbccbccbbbbbccbcbccccbcccbbbbbbcccbabbbbbbccbbbbccbbbabcbbcbcbbbcbcbbbcbbbbcbabacbcccacbcbbccbbcbbbcbcbbcbbbccbbbbccbbbcbbbcbbcccbbcbcbcccbbbabbbbbbbcccbbbbbcccccccbbbcbbbcbbcbbabbbbbbbabbcbbbcbcbcbabbcbbbcbbcbbbaccbbcbccbbcbcbbcabcccccbcbbcbabbbcbbbccbcbcbbcccbbcbbcbbbabcbbbbbcbbbbcbbcbcbcbccbbcbacbcbbbbbbbcbbcbbbbbbbcbbbccccbcccbbcbbcbbbcbbbbbcccabcbbcccbbbbbcbbccbcbbbbcbcbbbbbbcbaccbbbbbbbcbcbbbcbabbbbccccbbbcbcccbbbbcbbcacbbbbbcbbcbcbcbbccbbabbbbaccccbccbbbbbbcccbcbbacbbbbbcccbbccabccbbcbcbccbcbbbbcbbbbcccbbbaacbbbccabcbcbabccabbbbbbbccabbccccbcccbbccccbcbbccbbbbcbccbbbbbbbbbbbcbbbbbccbbbbbcbbbbbbabbbbbbbbcbbcbbbcbbcbbbbccbbcbcbbbcbbbbbabcbccbbbbbcccccbcbbbbbbcbabcbbbbcbcbbccbabcbccbccbcbcbbbbbbbcbcbccbbbcbbcccbabcbbabccbbbcccbbccbbbbbcbbbbbbbbbccbbbccbbbbccbbacbbccbbcbccbccccbbbccbbabcbbcccbbcbabbbccccbbccccbcbbbbcbbcbbbbcbbcbccbcbbbbbbcccbbabcabbbcacccbbcccbbcbcaacbcbbaacacbccbbbbcbcabcabcbcbccbcbbbcccbcbabbcbbccbbbccbbbbbbbccbcbcacacbcbbbbccbbbbcbbbbccbbbcbbcbccbcbbcbbbcacbbbbcccbbcbabbcbbbbbcaccbbbcbbcbbbcaccbcbbccbcbbbabcabacbbcbbbbbccbbbbccbbbbbcbbbcbbcbbbbccbacbabcbbbccbbbbcccbbbcccbbcbcbbcbccbbbcbbbccbbccccbccbccbcbbbcbbbcccbccccbcbbbbbbcbabcccbcbbbcbcbccbbcbcbbbbbbbbcbcbbbbbbbcccbcaabccbbacbccbbbbbcbcbbbcbbccbbbbbcabbbcbbbccbcccbbcccbbbacbbcbbcbccbbbbcbbbbbbbbabcccbbcbbcccccbcbbbbbccbcbbbcbbbbcbbccbcbbabcbcbcbbbabcbabbbccbbbcbacccbcbabbcbbabbbbbcbbbcccbcbcbbbccbbbcccbbcbbbbcbbacbcbbbcbbbcccbbcbcccbcbcbbbcbbbbbbcccccbccccbbbbbcbcccbccbbbcbbcbbcacccbbbbbbbcbcbbccbccbbcbbabcbbbcbbccbbcccbbbbbbbbabcbbcbbbbbbbbbbcbbbcbccbcbcbcbcbcbccbccccbcbbbccccbbbbbbcccccbbccbbcccccbccbccbbbbcbcbbbbbccbbcbabbcbbbbbaaccbbcbbcbbbbbbabcccbcccbbbbbacbbbcbbccbbccbbcbbcbcbbbcbbbcccbbbbcabbbccccbcbbbcbbcbbbbbcbbbbbbcbbbbbbbcbbbcccccbbcbccbbababbbbabbcbbbccbcbbbbbbbacbcbbbbcbcbbcbbbcbbcccbcbccccbccbccbbcbbbbccbcbbbacccbcbbbbbbcbbbcccbcbbbbbcbbbbccbbcbcbbcbbcbbbbbbbaccccbbbbbcbcbbcbbabbccbbbcbcccbbcccbbbbccbcbcbcbcccbbbccbcbbcbccccccbabbbabbbccbcbabbcbbbbbccccbbbbcccbbcbbbcbcbbbcbbbbbbcbccbabbbbbbccbbccbbcaabbcbcbcbbbbbbcbbcbcaccccbcccbbbbbbbabcbcbcccbbbcccccbcbbcbcbcccbbbcbbcccaabbcbbbcbbcbabbacccbbbbbcbbcbbbbbbcbbbcbbccbbcbbbcbbbbbbbbbbcbbacbcbbbccbbcbbbbbcbbbccccbbbbccbccbbbbcbbcbbbcbbbbcbbbbbbbbccbcbcbccbcbcbbbccbbabcbbbccccbbbbbbcbbbbbbbcbbbbabcbcbbbabcbbbbcbccbbbbbbbbccbbccbcbcbbcbbbcbbccbbcbbcbbcbabbbbbbccbbbcbccbabbbbccbbbbcbccbbbbbbbbbbbbcbccbbbbabcbacbcbbcaabbbcccabbcbbcbbbbbcbbbbbbbbcbabcbbcbccbbbbbbcbcbcbcbbacbbccacbbcbbbbbcbbcbbcbcbcbbbcbbcbbbbbbbcbbcbbbbbcbbccabbbcabbcccbbccbbbbbbbcbbbbcbcbcbcbcbbcbcbbbcbbccccbcbcbcbcbccacbcbccccbccbccbbccccbbbbbbbcbbbbcbcbccbbbbccbcbbccbbccbbbbbcbbbccbbbbbbbccccbabbccbcbccbbbbbbcbbbbbbbbcbbbbbcbbbccbccbbcbcbcbcbbbbbbbcbbcbbcbabccbbabcbbbbccbbccbbbcbcbbbbccbbbcbcbbcbcbbbbcbcabccbcbbbbbbcbbccccbccaacbccbbbbccbcbbbccbbbbbbbbbbbcbbbbbcbbcbbbbccbbcbcbccbcbbabccbbcbbcbcbbbbcbbbcbcbbbbabbbcbbbbbbbcbbabccbbbcbcbcccbbbbbbcbbccbbccacbbbbcbbcbbbbbccbcbbcbcbacbbbbcbbcccccbbbbbccabcbbccabccbbcbcbcbcbaccbbbbcbccbbbbcccbcbbbbbbbbaacbcbbcbccbbbbcbbcbbcccccbcbbbbccbcbccccbbbbbccbcbcbcccbbbbbbcccbbbbbcbbccbbbcbcbcbabccccbccbbbccbbbcbcbcbbbbbbbbbcbbbbbbbbcbbcbbbcabbccbcbbbbcabcbabcbbbbbbbbbbbccabbbbbccbbcccbcbbbcbbccbbbbbbbbbbcbbbbbbbcbbbccbcbbbbbbbbccbbbbcbbbbbacbcaccbbabbbcccbcbcabbbacbbbbcbbbcbbbcbbbbbbcbbcbcbccbccbcbbcbbbbbbbacccbbbcbcbccbbccbbcbcccbbbccbbcccbbccbbcbbccbbcccbbbbcbbbcbbbbbcbbbbcbbcccccbbcbcbcbcbbbbccbcbabbaccbbccbcbccccbcbccbcbbbcbccbbbccbbbccbcbcbbcbbcbacbccbcccacbccbcbbbcbbcbcbbbcbbcbbbccabbcbcbcbbbbcbcbcccabccbbbbcbbbbcbcbcbcbcbcbcbbcbcccbbbbbccbbbbcccccbbbbbccbcbbbabcbbbbbacbcbbbbbbcbbbbbcbbbcbbbcbcbabcabbbcbccbbcbaccbcccbbbcbbbcbbcbcbbbbbbbbbbbbbacbccccbccbbbcbbbccbbbcbccbbcbbcbccbbcbcccbbbcbabbbbcbbbbbbbbbbbbcbbbbcbbbbbbbbccbbbbcccabbcbcbbbcbcbbbbbbbcccbcbbcbbbbbacbbbcbbcbbcbbbbbbbbbbcbcbbbbbbcbcbbbbbcbbbcbcbabcbbbcbbcbcbcbbcbbcbccbcbbccbbcbbcbbcbbcbbbbccbcbbbbccccbcbcccbbbbcacccbcbcbbbcbbbbbabbbccacbbbbbbbbccbbbbbbbbbcbbbbbbcbcbbbbcbcbbbcbbbbcbcbcccbbcccccacbbcbcbccccbbcbbccbbcbcbacbbbbbbaccccbcbacbbccbacbbbbbbbbbbbcbbbcabcbbccbabcbcbbbbcbccbbbbbbbccbbbcabbcbbbbbccbcbcccbbcccbbcbcabcbbbbbccbccbcbcbcbbbbbbcbbcbcbbbbbbcccbcbcbbbbbcbbcccbbbbcccbbbbcbbbbccbbcbccbcbcbbccaccbccbbbbccbabacbbbbbbccbcbbcbbbbcbccbbccbcbbbbbbbbcbbbbabbbccbbbbcbbbccbcbbbcbbccbccccbbbcbcccccbbbbbccbcbbbcbbbbbccbccbcbbcbcbbcbcbbbbacbcccccbcbbacbbcbccbbbbbbbccbbccbbbcccbccbbbbbbbbcbcbbbbbbbcbbbbacbcbacbcbcbbcbbbbccbcabcbbcbacccbbccbcbcbccbcbbbcccbacbbbbaaccccbbbbbbbbbbbbbbbbccbbbcbbbcccbbbcbbbcbbcccbbcbacccbccbcbbbbbbbbbbbcbbcccbcbbccbcccbccbbbcccbbccbbcccccbcbcbbcbcbcbbccbcbcccbccbbbbbcbcbcbcbcbccbabcabcbbabbbbcccbbbbbbacbcbbcbbbbaccacbbbcbccbbcccbcbbccbbbcaccbbbbcbcccccbccbcbbbcbbbbbbcbbcbbcbbbbbbcccccacbbbbcbccbbcccbbbbbbcbcbbbcbbbbbbcccbbbcacbbbcbccbcbbcbcbcbccbbbccbbbbbbcbbccabcbcbccbbcccbcbcbcbbcbbbccabbbbbcabbcbbabcbcbbcbbbbccbbbcccbccbacbbbbabcbbbbbccbccbccbcbccbaccbbcbcbabccbbcccbcbbbbcbcbccccbbcbbabbbcbbbbccbcbcabcbcbbbcbbbcbabbbccbccbcbcbccbcabbabccbbbccbcbbcccbbccbbbbcccccababbbcbbbcaccbbccbcbbcbcbbccbccbbbbcbbcbbccbccbabcccbbbccbbbbbbcabcbbbbbbbccbbccbbbccbbbbbbcbbabccbbcbbbbbbcbbbcbbcbcbbbbcccbbbbbcbbccbbbbbaccbcbbabcbabcbcbcbbbaacbbbcbcbbbbacccbbcbbbbbcbbbbbcbbbcbcbcabcbccccccbacbccbcbbbbcbbbcbbbabbcbbbbbcbcbcbcccbbcbcccccbcbcbbbbcbbcbbccbcbaaccbbbbcbbbbbbbbbbcbccbacbcbbbbbccccbbccbbbbbcbbbcbcbbccbbbbbbbcccbbccbacbcbbbcbbabbccbbbcbcbbbbbbbcbbcbbbcbbbbbbbcbbcccbbbcbbbbbbcbbbbbcbbbbbbbbcccbbbbbccabcbbbbbbcbbbbcbcbbbcbbbbabcbcbbbbcbbaabccbbcbbbcbcbbbbbccbbbabbbbcbbccbcbccbbbbbcbbbcccccbbcbbbbcccbbcbbbbcabcccbbbabbbbccccbbccbbbccbbbbcbcbcbabcbcbbacbcbabccbbbbbbbbcbcbccabbbcbccbcbcbbbbcbbbccbbbbbbcbabbccccbbcbcbbbccbcbcccbbbcbcbbcbcbbccbbbbbbcccbcccccccabbbcbbbccccbbbcbbbbbccbbccbbcbcccbbccccbcbbcbbbbccccabcbccbbbbcbbcbccbbbcccbbbbbbbcbbbbbbbbcbcbbcbbcbccbccbcabbccbcbbbbcbbcccbbbcbcbbbbccaccbbbbcbbbccbabbbcbbbbaccbcacbbbbbbcccbbbccbbbbcbbcbbcbbccbbbbbbbbbbaccbcbccccbbbbbbbcbbcbccccbcbccabcbbbbbcbcbbabcbccbbbcccbbbbbcbbacbbcabcbcbbabbbbbcbccbcabbcbabbbabbbbbccbbccbbcbcbccbbbcccbbccbbcbbbbbbcbcccbbcccbccbbbbbbbbbabbbbcbcbcbccbcbbbbbcccbbbcbbbbbbcababbbcbbccbbbabbbccbbbbbbbcbbbcbbbbbbbcbbbcccbbcbbcbbcbbbcbbbbbcbbccbcbabbbbcbbcbbcbccbbbcbbbbccbbbccbbcbcbcccbbccbbbbbbcbbbbbbbccbbbacccbbbcbccccbbcbcacbacbbbbcbccccbbbcccbbbcccccccbcbbbcbbbbbbbbbcbcccbbcbbbbbacbbcbbccbbbbbcccbcccbbccbbcbbcbbbbcbbbcbbcbbccbcccbbcbcbbcbcbbbccbbbccbbcabcbabcbbcbbbbbbbccbbbbbcbbbbccbbcccccbbcbbbcbbacbbbccbbcccbbbbcbccbbccbccbbccccbbbbbbbcacccccbbbbcbcbccbcbbbcbabbcbcbcbbcbcbbbbbbbbcbbbbcbcbcbccbbabccbbccbbbbccbbcbcbcbbcbcbbcbcbccbbbabcbbccccabbbbccbbbbcbcbcccbbccbbbcbcccbcbacbbbbcbcbbbbcbcbbbbcabbbbbbcbcbbcabcabbcbcccbacccccbcbccbcabccbcbbcabbbbcbbbccbcbccbcbbcbcbbbbbcabbcaccbbcabccbbbccbcbbbcccbcbcccccccbccbbbccccbbbccbbcbbbcbbcccbbbabcccbaacabbbbbbbbbbbcbbcabcccbbcbccbbbbcbbbbcbbbbbcbbbbbcbbcbbbbbbcbbcbccbcccbccbbbbaacbabbcbbbacccbcbbcbcbbbbbbcbbbbbccbbbbbbbbbbbbbabbcbcbccabccccbbbabbbcbccbbbbbcbbbcccbccbbbbbcccbcbccccbccbbbbbbcbcbbbbbbcbbcbcbcbcbbbcccbbbbbbbbcbbbcbbccbabbcbcbbbbbbcbbcbccbcbbbbcbcccbbbcbcbbbbcbbcbcbbbbbbbbbbbbcccbbabbbbccccbbcbbbccbbbbbbbbbccbccbbbbbcccbccbbcbcbcbcbbbbbbbcbbbccbbbbacbccbcccbbbccccbbbbbcccbbcbbbccbbbbbbcbcbbcbbcabbbbabbcbcbcbbccbcbbaccbcccbbbcbcbbcbccbbcbcbbcabbbbbccbbbbabccbcccccbcbbbccbcbbcbbbbbcbccbbccbcbcbcbbbbcbcbbbbbbbbbbbbbbbbbcbbacbbbbbcabcbbabbbbbbbbbcbbbbbbcccbbbbbbbbbbbbcbbcbbccbcbcbbbbbbbcbccbbcbcbbbbcbbcbbbcbbbbcbbbbcbbccbbbcabbbccbcbbccbbbbbbbcbcbbbcbbcbcbccccbcbbccbbcbcbbbbabccbcbabbbbcbbbaccbccbbbbcbbbabbacbbbcbccbcababccbbcbcbcbbbbbbcbcbccbcbbacbbbccbbbcbcacbbccbcbcbacccccbccbbccabbbcbbbcbbbbbccccbbccbbccbbccbbbbbbbbccccccbcbcbcbbcbbcbccbbabbcbcbbcbcccbbbbbbcbbbbbbabbbbbbccbbcccbcccbaccbbbbcccbccbcbbbbbbabbccbbbcbccbccbbbbcacccbbbbcccccbbbbccbccbbbccabbccbbbbcccbbbcbabbbbcbcbbbbbbbbbbcbcbbbbcbbbccbcccbbcbcbcbbbbbbccbbaaccbbcbbcbbabbbbbbbbbcbbcbbcbcbcbcbcbcbcbbcbbcbbbbbbccacbbbbcbcccbbbbbbbbbcbbbbcbccbbbbbcbbcbbbcbcabccbcbbbbccccbbbcbccbbccbbcbbcbbbbbcbcbcccccbbbbcbbcbccbcccbbbccccbcaabcbcbbcbbccccbbcbbccbcbbcbbcbbbbbbbccccccbbbbcccbcbbcbbbbbbcccccbbbccbbaabcccbcbbcbcbccbbabbbbbbbbccbbbbcbbccbbbbbcbbcbcbccccbbcccbbabbabbacbbbbbcbcabbccbcbccccabbcbbcbbcbbbcccbbbbbcccbbbcccbcccbcbcbbbbabcbbcccbbcbbbcccbcbbbbbccbbbcbbbbcccbbcbbbbccabbccbcbccbbbccbbbccbccbbbbbbbbcbbcccbbacbcbcbcbbcbbcbbbbbbccccbcbccbbbabbbbbcbbbbbbcbcbbbbbbbbbbcbccbbbbbbcbccbbcccbbcbbbccbbbbbbabcbbbbbcbcbcbbbbcccbcbcbcbbbbbcbbbbcbbbbbcbbbcbbcbbcbcbbbbcccaacbbbcbabbbcbcbcbacccbbbbbbacbbbbccbbbcbabbbbbcabbccccccbbbbabbbccccbacbbabbccbbcbbccbcbcbbbbbcbcbbcbbbcccbbcbcbbbbcacbbbbccbbccbbccbbccbbcbbccbccbbbbcbbbbbacbbbcbbbbbbccbcbcbbbbbbbbccbbbbbbcbbcbbcbcbabccbcbbbabbbbccbcbbccbbccbbccabccbcbbcbcbccccbcbbbbbbbbbcabbbbbcbcbbcbbbabcbbbbbcbbbbbbbcbbbbbbbcbbcbbbcbcbccbbbcbbbbccbbbbccccbbcbacbbbbbbabcbccbbcbcabbbbbabbbbbcbcbbbccabaccabacbbcbbbbbabcbbcbbccccccbcbaccccbccccccbcbcbbcbbcbcbccbbbbbcbcbbbcbbbbbbbbcbabcbcbabcbbbbcabbbbbbbbbbbbaccccbccbcbbcbbabbcbcbbbcbbccbbcbbccbbbcbccbbbccacbbbccbcbbbbbbbcbccbbbbccbbbbabcabccbcbcbcbbbbbbacbcbbbccbbbccbbbacccabcbccbbbabbbccbcbccbbccccbbcbbaccbbbbbbcbccbbccbcccccbbcbcbbccbccbbbbcabcacbabcbccbcccbcbbcbcbbbccccbcbccbbbbbbbbbbbcbbcbbbccbbcbccbbccbccbbbbbabbcbcbbbbbbccbbbbcbcccbbccbbcbcbbbbabbcbbbbbbbccccccbbbccbcbcbcbbbcbbabbbbacbbcbbbabbccccbbbcbcbbbbbcbbcbcbcbcbbabccbccbbbbacbcacccbbbcbbbcccbcbcbcccccbbcbccbcbbbbbcbbcacbbcbbbbbcbcccabbccbbbbbbccbbcbcbbbcbbcbbbbbbccbabcbbbccccbcbcbcbcbbbcbbcbbbcccccbbcbaccbbbccbbbabbccbcbbbbbcbbccbbbbccbbbbcbbbbbbbcbccccbccbbcbbbbbccbbcbcbbbbcbcbcbbcccbcabcbbbbbcbcbbbbbbbcbabcbccccbaaccbbbbccbbbbcbbbbbccccccbbbbcbbccbbcbcacbcbacbbacbbbccabbbbbcbcccbbbbcbcbbcbbbbbbccabcbbcccbbbbbcbbbbbcbcbbcbbcbccbcccbcbbaacbbbbbcabbbbacbccabbacbcccbbccbccbcbccbbbbcbbbabbbbcbccccbbaccabbbbbacbbcbbbbcccccbbccccbbbbbbbbbcbbbbbcacbbcbcbbbccbcbbbbbccbbacbcbbbbcbbbcbccbcbabccabbbbbbbbbbbccbbbbbbccbbbabccbaccccbbbcbbbccbbbbbbcbbbbcbbabccbbbbbcbbbbcabcbbbbcccbcbbaccbcbbbcbbbbbbccbcbcbbccaccbccbbbcbcbccccbbcbcbbcabbbbbccbabcbbcbcbabbcbbbbbbbbbcbcbbabbcacbbabbbbbbcbcbbbbbcbbcbcbcbbbbbccabbccbbbbbcbcccbccbbbbcbbabbbbbaccbbbcbbbccabbcbbbcbcccbabcbbbcbbbcaccbbcbbbcbccaabccbbacbbccbbbcbcbbbbbbcacabcbcbbbcbbbbcbbcbbbbcbbbcbbccbcbcbbbbbbcbcccccbbcbbccbbbbbcbbbbbcbbabcbbcabbacbbbbbbbbccbcbbbbcaccbbbbccbbbbcbbccbcccbbcbbcbcbbcbbbabbbbbbbbbcbcbbbbbbbbacbbbcbaccbbbcbbbbbbbcbcbbbcbcbbbcbbbbbbbbccbbcbabcbbbbcbbcbbbbbccbbbbbbbcbbbbbccbcbcccbbacbcbbbcbcbbbcbccccbbbbbcbbbbbcbabccbbbbbbccaccbbbcbbbcbbbbbbcbbbcbcbccbbbbbccbccbbbbbcbbbcabbbcbcbbccbcaabcbbbcbcbabbcbbcbccbcabbbbbaabbbbbbabbbccbcbbbccbcbcbbcbbccbbbbcbcbbcbcccbbcbbccbbbbcbcbbcbcbbcbbbbcbbccacbcacbcbccbbbbbcbbcbbbbbbbbbcbbcabbbbbcbbbbbcbccbbccbcbcbbbbbbccbcccccbbbbccbbcbbbbbcbacbbabccbccccbcbbbcccbbccbbbccbbbabbbbbbaccabbbbbcbbbcbcbcacbbbccbbbbccbbbbbcbbcbbccbcbbccbbbccbcbbccbbcbbcbbbbcbcbbbbbbcbbccbbccacbcbbbbcbbbcbbbccbccbbcbbcbbcbccbbbbcbbbbbbbbcccbbccccccbccacbbbbbccbbbbbbbbcbbbbccbcbcbcabbbbbbbacbcbccbbcbcbcbbbbccbccbbbbcccbbbcccbbccbbbccbccbbbbbbbbcbbbbbbbbbcbccbbcbbcbcbbbbcbbbcbcccbbbbcbbbcbcbbbbbbbbbacabccbbcbacbbccbccbbbcccbcbcbcbcbcabbbbbbbcbbbbbbbbbacbcacbcbcbbbbbbccccbbbcbcbbbbbbbbcbbbbbcbbcbbabbbbbbcbbbbbbcacbacccccbbcbccbcbcbcbbcbbbcbbbcbbcbbbbcbbbbcbccbbbbccbbccbcbcbbccbcbcbbbacbccbccbbbcbbbbcbccbabbbbbbbcbbcbbbbbbbbbbbbbbcbbcbbccbcbcccbcccbbbbbcabcccbbabbccbbbbbccccbccbbbbccbcbccaccbcbbaccbabbbbbcbbcbbbccccbbbcbbbbbabcbbbbcbbbcbcbbcbbbccbbcccbcbccccbbbbbbccccbcbcccbcccccccbbbaccbcbcbccbcbbbcbbcbbbbbbbbcbbcccbcbabcbccbccbcbccbbbccbbbccbcbbcccbbbbbbcbbccbbcbbcbbbcbbcbbbbbbcbbbcccbbbbbcbcccbbcbcbbbbbbbbbbbbbbccccbbbcbcbbbbbbbbcbabbbcccbcbbbccbbbbbcbbcbcbbacbbbbbcbbbcccbccccbbacacbcbbbbcbbbbbcbbbcbbcabbbbcccbcbbbbccbcccbabcbbcbcccccbbcbcccbcccaccbbbbbabccbbbcccbbcccbcbccbccacbcbcbbaacbbbbbbcbcccbcbbcccbccbbbbbabbbbbccbccbbcbbbcbcccccbbaccccbbcbbcbcbbbbbcccccaabcbcbcccbcbcbbcccbbbbbbcbcbbbbbcbcbbbbcbbbbbcbcbbbbccbcbccbbbcbbcbbcbbbccccbabbbbbccbbbbccbcbbcbcccbccbbcbbbcbcbccbbbccccccbbbbbababccccbccbcbcccbbbbbabccbcbcccbbcaccbcbbbcbbbbbbbccbbbbbcccacbabcbccbccbcbbbbcbbbbabbbbbccbcbbccbbbcbccbcbbcbbccbbbbbccbbcccbcbbcbbcbbcbbbccbccbbbbbbcbbcccbccbbccbbbccbabbbcccbcaacbbcccbbbbcbbbbcbbcbcccbbbcbabbbbccbcccabbbbccccbcabbbbbbbbbbbccccbbbcbbbbbbbabbabcbbbbcccbbbcbbbbbbacbbccbbccbbbbbcbabbbccbbbccbbbbcbcccbcbccbcbcbccbbccbbccbbbccbbbcbcbbbcbbbbbbcbbccbcbcbbbbcbcbccbbbbbbbbbbbbbabbcbbbcbbcbbbabbcbbbbbbbbbbbcbbbacbbbbbccbccbcbccbcabbbbbcbbcbbcbbbbbbbaacbcbbbbbcbcbcbbbcbbccbcacbacacbcbcbbbbbcbbbbbbbcaccbbbbbbcbbcbccccbbccbbccbcabcbcccbbacbcbbccbbbbabbbbcbbbbbbcbbbcbbcccccbbccbbcbbccbccbbbbcbccbbcbccabcbccccbbbbbcbbbbbbcbbbccbbbcccccbbcbbcbbbcbbbbcbbbcccabbabbcbbcbbcbbcbbbbbbbbcbcbbcbbbccbcbbbbbbcbccbbbbbbbcbbbbbcbbbcbbcbbbbbbbcbbbbbbbbcbbbbcbcbcccbbbccbbbcbbccccbbcbbbbbbbcbacbbcbbbcccbcccbcbbcbbbbbcbcbbcbbbabbbcbbccbcbbcbccbcaccabcbbbbcbcbbcbbcbcccbcbbcccbbbcbbcbbababbaccccccbbcbcbbbbcbbbbbbbbcbabcbcbbbbbcccbbbcccbbcbbbbcccabcbbbcbcbcbcbbcbbbcbcbcbbcbbbbcbbbcaccbbccccbbcbcbcbbbbbbcbbbbccacbbacbbbccbccbcabbccbbbbbbbacbabbccccbcbbbcbbbcbcbbbbcbbbbcbbcccaabccbbbbbbbbccbbbcbbbbcbbbbbbbccbccbcbbbcbbbbbcbbbccbccbbaaccbbacbbbcbbcbbbcbcbbbccbbbcccccbbbbbbbbbbcabbcbbcbcbbccccbbccccbbbccccbbbbbbbbccbbbbbbbcbbbcbcbbbabbccbbbbcbabbcbbcbbbbbbbcccbcbcbbbbbccbccccbbbcbccbbcacccbbbccbbbbbabcbbcbbcbbbbbcbbcccabacbcbaccbbbbcbbbbcbcbcbbccbbccbbbcbbcbbcbbcccccccbccccbbbbcccbcabccbcbbccbbabcbccbcbbcbcbabcbbbccbbbbbccbccbbbbbcbcbbcbbcbbcbbbccccbbbbccbbbbbbbbbcbbccccccbbbcacccbcccbbcbbbbcabbbbbbbabcbbbccbbcccccbbbccbbcbcabbbaccbcbbbbcabcbccbccccbcbbbbcbbbcbccbbbcbcbbbcccbbbbccacccbcbbbbbbbbbbbbbcccbbbcccbcbbbbbcacbcbcbbbbbcbbbbbabcbbbbbbbbbcbbbbccabbbbbcbbbbccbccbbbbccbbbbbbbbcbbbcbbbbbcabcbabccbcbbbbbbbbbbbbcbbbcbcbccbcbbbbccbcbcccbbbbbccbbbcccbbcbbcacbbbbcbcbbcbbbbcbcbbbccbccbcbcbbbcbbabbcbbbcccbbbcbabaccbbccbcbbbbcbccbbbbcbccccbccbcccbbbbbbbbbbcbbbcbccbbcbbcbbcbcbbbbccccbcbbbbccbbbbbcbcacbcbbbbbabcbbcbbbbbbbbbbbbbccbbcbccbcacbbbcabcbbbcbbbcbcabcbbcbcbbbcbbbcccbbabcbbcbbbbcbbccbbcbccbbccbbbbccbcbcbcbccccbcbbbbbcabcabcbbbcbabbcbcbbcccbbcbbccccbbccbbccbccbbabbbcbabcbcbcbbbbbbbbccbbabbcabbbbcbbacccbcbccbcbbcbcbccbcccbbbbbbbbcbccabbbbbbabbbbbcbbbccbcbbbcbbbbbbbbbbbbbcbbabbbcacccbcbbbcbbbcbcbbccbbccbbbcbbbcbbbbcccbbbbacacbcbbbbbcabbbbbcbbccbcbbbbbbbbbbbbabcbbcbbccbcccbcccccbbbbcbbbccbcbbbcbccbbacbcbbbcbcbccbbbcbbbcbcbbbbcccbbbabcbcbbcbbcbbbcbbcccbcbbcbcbbbccbbbbbbbbbbbcbcbcbabccbbbcabbbccbbcbbbbbccbbcccabccbbbcbcbbccbabccbcbcbbbccbcbcbbbcbbcccbccbbcbbbbbbbbcbbbbbabccbcccccbccbbccbbbbbcbbccccbbcbbcbbbbbbbcbcbbbbcbbcbbccccbbbbbcccccbbcbbbbcbbccbcbbbabacbbbbcbbbccbbcbcbbbbbbbabbbcbbbbbbbbaccbcbbbbbcbbbccbbbbbcbbbbcbccabcccbbccbbcabcbbabbcbbbcbcbcbbbbcbbbbbbcbbccbbbbbbbcccbcbccbbbbccbbbbbccbbbbcbbcccbbcbbbbccbbccbbabcbcbbcbbbbbbbcbbbbcbbccbbcbccbccccbbbbcbbcbbbabcbcbcbbccbbbcbbbbbcbbcbbccbbacabbbcbccbaccbccbbbbbbcbbbccbbbbccbbbbcaabbbbbcbbbccbbcccbcbbccbbcbcbbbbbcbcccbbcbbccbbbacbbbacbccbbbabbbbcbbbcbccbcbbbbbcbcbcbbccccbccbcbcccbbccbcbbcbbbbcbcccbbabbacccbcbabbbbbbbbbcbbbbcbbbbcbcbccccbbcbbccbcbbbbbbcbcbbbbbbccbcbccbcbbbbbbcbbcbcbbbbcbbbcbbbbbbccbacbcbcaccbbbbbcbbbabbcbcbcbbcbbcccccbccbbbcccccbbbcbccbbabcbccccbbcabaccbcbbbccbbbbbbbbcabbcbbcbbbbbbcbcbbbbbbbbbbccbbcbbbbbbccbbbbcbbbcbcbcbbbbcacbbbbbcbbbbbbbbbbcbbcbccbcbbbbcbbbbcbcccbbcbcbbbbbcccbcbcbcbbbccbbbbccbbbbbbbcbcabbabaacbbcbabbccbccbbbbbbcbbbbbcbccbbcbbccbccbbbbbccbbccccbbbbcbbabbbcbbccbbbccbcbbbcbcbcccbbccbcbacccbccbbbbbbbbcbbccbbbcbcbbbbbbbcbabcbbcbccbbbbbbcbbbccbbacbcbbbbbbbabbbbbcbbbbccbabbcbcbbbbccbcccbbbbbbabbbcbbbbcbcbbbbbcbbbbbccbaacbbbbbbcbbbbbbbbcbbbbbcbbbbcbcccbcabbbcbbcbbbbbbcbcbbbcbbbbbcbcbbcbbcbccbbbbbbcccbbbbbcbbbbbccbbbbbbbbbcbcbbbbbabbbbcbbbccbcccccbbbbcbcccbbababbccbbbbbbccbbbbcbbbbbcbbbcbccccbccbbcbccbbbbbbbbbbbbbcbbcbbbcccbcbbbcbbbcbccbbbbcbcbcbbccbbbbbbbbcbbcbbbccbabbcbbbbccccccbccbcbccbbbbcccbbbabbcbbbbbbbcccbbbcccbbccbcccbbccbbcbbcbbccbbbbbcccbcbbbbbcccabccbbcbbbccbcbbbbbbbcbcabcbccbcbbbbbbbbcbcbbccccbccccccccacbbcbcbbbbbccbbbbbbcbbcabcbbbcbaacbbbbbbbcbbbbcbbbbbbabcabbcbcbbcbcbbcbbbcacccbbcbbbbcccbabbccbcccbcbbbbbbcbbcbcbccbccbcbcababcbbcabbbbbcbcbcbbbcbbcbbccccbbbbbbccccbcccbbcbccbbaccbbabcbccbbcbacbccbbbbbbbaccbbcbcaccbbcbbbbbbbbbbbbcbccbbccbcbbcbbcbcbbcbbcbbbbcbcbbbcccbcbabbbbbbbbbbcbbbbbbbbcbccbbbcccccbbbbbcbbcbbbbcbbbbcbabbcbbbcbcbbccbccbbbbabbcbcbbcbbbbbcbacbbcbcbbcbbcbbcbcbbcbbcbbbbbbcbccabcbbbbcbbbcccbbbcbccbcbbbccbbbbbbcbbbbbcbbabacbbbbbbcbcbbccbbbbbccbbbbbccbccbccbbcbccbbcccbcbbbcbbcbbcabbbcbbbbbbbbbcccacbcbbbbcbcbccbbbabbccbcbbcbccccbbbcbcbcbbbbcccccbccbbcabcacbbbbccbbbbbccbacbcbccbbbbbccbbbbcbbbbbbbbbabcbbbbbbbbbbbbcccbacccbbbbcbbcbbcbbbabbcbabbbbabbcbbbbcccccbabbcbcccbcbbccbcccbbccbbcbbbcbcbcbbbbcbcccbacbbbbbbbbcbcbccbbcccbbbbcbccbaccccacccbbccbbcbcbcbbbcbbcccccbcbcbbcccccbbbbabbbbbcbbbccabbccbcbccccbccbbccccbbbbbcbcbcbcbbccbccbbccccccbccbbbcbcbbbacbbcbbbbbbbcbccbcbccbbbcbccbbbcbcbccbbbbcbcbbbcbbccbbbbbccbbbbbccbbbbcbcbbbccbbbccbabbccbbbccbbbcccbcbcbbcbabbbbbbbacbbcbbcbbbccccccbbbcabbbbbcbbcbbbcbbccbccbcccbbbccbbbcbcbcbbbccbbabbbcbbbbbcbbbccbbcbbbbbbcbbbbbccbacbcbbbbbbbbbccbbcbbbcacbcbbcccbcbbccbbcbbbcbcbbbccbbcbcbbbbbbcbbcbcbbbbcbcbbbcbcbccbcbbbbaccbbccbabbbbbbbcccccbbbbbbbbbcbabccbbbbcbccbbbbbbbbcbccccbbbcbbbcbbbbbbccbbbbbbbcbbcbccbcbccbbcbccbbbccbcbbbccbbbcbbcbbbbbbbcabcbbabbcbbabcbbbbcccbbbbcbacbbccbbbcccbbbcbbccccbcbbcbbcbcbccbcbcbbbcbbbbabbccccbbcbbbbbabbbcbbacbcbbbbbbbbbbcbbcbcbbabcbcbbccbbbbbbccbccbbbccbbbbbbbabbbccabbbcbbbccbbbbcbbcbcbccbcccbbbbbbbbbbcbcbcbbbbccbcbcbbabbbbbbcbbbccbbbacbbccbbcbbacbbcbbcbbcbcbbcbcccbbccccbcccbbbbacbbcbacbbcbccbbbacbcabbbbcbbcbbccccbbbbcbbbbbabbccbccbcbccbccbccabbbbbbbbbbbcccbbbcbbbbbacbbccbbbbabbbbbbbbbbbbbbcbbcbbbbccbbcbccbbbbccbbbcbbbcbbabbbbaccbbbbbcbcbbccbbccabbbcbbbbbcbbbbbbbcbbcbbbabbcbcbbbcbcbccbcccbcbbbbbbbcbbbcccbbbbbbbbccbbbbbabbccbbcbcbbbbcbcbccbbbbccbccbcbbabbccbbbbcbbbcbbbbbcbbbbbcccbbbcbaccbcbbbccbbbbbbbbbcbbabbbabcccbcbbacccbbbcbccbcbbbbcbbaabccbcbcbbccbcabbbbbccbcbccbcbbbcbbbbbcbbbbbbbbcbbbbbbbcbbbcbbbccbcbbbacccabcbacccccccacbbbbbbbabcbcbbbabbbbbcbbcbbbbbcbbbbbbccbbbbbcbbbccccccbbccbbbbcccccacbcbcccbcbcbcbbbbccbcbbcbbbacbbbcbbcbcbbabbbbbccbbcaccbbabcbbbacccccbbacbbbcbccbcbccbcbccbcacbccbbcbcbbcbbbabbcbbcbccbbabbcbbcccbbbcccbcbbcbbbcccbbcccbbacbbbbbcabbbccccccacbcbbbbbbbbbbbacbbabbbbbbccbbbbbbbbbcbbbbcbbbbbbbbbcabcbbcbbbcbbbcbbccbbbbbbbccbbbcbccbcbcccccbbbcbcbccbbbccbcbbbbbccbbbbbccbbccbbcbcbbbbbbbccaccbbbbcbbbcbcbcccccbcbbbcccbbbcbbbcbbbcbbcbcbbabbbbbcbbccbbbccbccbccbbbcbbbbbbbbcbbbbbbcbbcccbbbcbbbbbbcbcbbabbbbbbccccbbccbcbbbbccbbbbbccccbbbbbbbbcbbcbbcbbbbcbbbbabcbacabbbbbbbcbbbcbcbaccbcbabbccbbbcbbcbbbcbacccbbbbbbcbbbbccbcbbcacbcccbbbbbcbbbbcbbbbbbcbbcbbbbbbbbabccbbccbccbcbbbbcbccbcbbbcbbbbcbacccbcbcbbabcccbbbbbbbcbbbccccbbcbbcbbcbccbbcaabbbbccbbbcbbcbbbbabcbcccbcbcbcbbcbbcabbbcbbbcbbbcbcbccbccccbbababbbcbcbbbcbcabbbbbbccbcbcbbbbcbccbbbbccccbcbbbcbbccbbbbbbbbbcbbbbccbbcbbcbcbbbcbbbbbbbbcbcbcabbbbcbbcccbbbbbcbbcbabbbbbbbbcccbbbbcbcbcccabbccccbccabbbcbbbcacbcbbbcbcabcbbbbbccbbcbcbcbbcbaabcacabbcbbbbbbcbbbbbcbbbccbbbcbbcbabcbcbcbcbcbbbbbccccbbbbbcccbccbcbbbbbccababbbcbbcccbbcbbbbcbbbbcbccccbcbbcbcbcbbcbbbcbcbbbbbccccbacabbccbcbbccbbcbbbbbbcccbabbbbcabbccbcbbbbbbbbbbbbcbcbcccbcbabcccbbbbbcbccbbbbbcbcbbbcbcbbbbcbbcbcbbbbccbcbbcccabbbcbbbbcbccbcbbcbcbccbccbcbcccccccbcbcbacbcbbbccbcbcbbbbcbcbcbaabcbcccbbcbbcbbccabccbaabcbbbbbbbacccbbcbcbbbcbbcbcabccabbcbacbcbccbcbbcbccbcbcbcbbbbcbbcccbbbcabbbcbcbbbbcbcbcbcbbbbbbbbcbcccbccbbbbbccbbbbbbbbbbbbbbbcccbcbbabbbbbcbbbbcbcbbabbbabcbbcbbccbbbbcbabbbbbbbbccabbccbbbbbcbbcccbcbbbbbbbabcbbbbcbbbcbbcbcbbbbcbcbbbcbcccbcabcbcbbcbccbbbcbbbcabcbcbbbcbccbbbcbccccbbabcbccbcbcbbcbbbbbccbbcbbcbcbbccbcbbccbcabbcccbbbcccbabbcbbbcbbbbccbbbbbcbbccbbbbcabbcbcbcbbcbbcbcbbbbbbbcabcabbbbbccccbbbbcbccbbcbbbbcbccccbcbbcccbcbbcbbbabbbaccbbcbcbccbcbbcbbbbbcbbbabbbbbcbccccccbccbccbbcbbbbbcbcbbbbbbbbbbcbbbbbbcbcbccbbbbcbcbcbbbccbbbcbbcbccbbcbcbacbbabbbcccbbcbcbcbbbbbbcabcbccbbcbbbcbbbbbcacbbcbccbbbcabbcbbbbbcbccbcbbbbbbbbbbcbbbbbcbbcbcbbbbbbcbccbbcbbbcbccbbbcbbbbbcbcbcbbbcbbcbbbbcbbcbbbbcbbbcbbcbbbbbbbbbcccbcccbbbcbcbbbbbbbcbcbbbccccbbbbcbbbcbccbbccbbcbcbbcbbbcbbbbcbcccbbbbbbbbbcbcccbbbbbbbbcbbbbbccbbbbbbbbbbbcbbbbcbccccbbbbbbbccbbbcbbccbbbbababbbbbbbabbbccbcbcbbcbbbcbcbcbbbccbbbbcbaccbbbbbbbbcccbbccbbbbccbcbbcbbcbbccccccbcbbccbcbcbcbccbbbbcbcccabbbbccabcbccbcccbbcbcbccbbbbbccabbccbbbcbcbbbcbbbbccbbcccbcacbbbbbbcbcbbbbccbbbbccbcbbcbbaabbcbbbbbcbacbbccabcccccbbbbcbbccbcbbbbbcbcbbbbbcbcbcbbbabbbbbcbcabbccbcccbbbbbbbabbbcbccbcaaccbbccbbcbcbbacbbbcbbcbbbaccbbbbcbbbccbcbcbbbcbacccbbbbcccbbcbbcbbcbcbbbbbcbbbbbccbcbcbbbbbbbbbbcbbbbbbbcbbccbbbbbbcbbcccbcbbcabcbbbbccbcbcbbcbbbacbcbbbcbbabbcbbcbcbcbcbbbbcbbbcbbbbbcbcbbbcbccbbbcbbcbbbbbcbbbabcbccbcbcbcbcbbccbbbcbbcbbbbbbbcccbbbcbcbcbbccbcbcbbbbbccbacbccbbbbbccbbbbcbbbbbcbcbcbbbbccbbbbcbcccbacccbbcccbbbbbccbbbbbcbcbbacbbbccbccbbbccbbcbbbbcabbbcbbbbbccbbcbbbbaccbcbbccbbcbcccccbcbacbccbbcbbbbbcbbbbcbbcbbcbbcbbbcacbbbcbbbcccbbbcbcbcbbbbabbabbbcbcbbcbbbccbbbbcbbbcbbcbcccbbbbbbbcbbbcbcbbbbcccacbbbbcbbbabcccccccbcbbbcbbbbbcbbbbbbabbbbbbbccabbcbbbccbbcccccbcbcbbbbbccccaccbccbcbbbbccbcbbbabcbbbcabcbcacbbbbbcbbbbcccacbbcccbbabbbcbbcbcbcbbbbbcbbbbbbcbbbbbbcbcccbbccbcacccbcbcccbbbbabcbbbbbcbbbbcbabbbbbbbcbcbcbcbbbbbbbbccbbbabbbbcccbccbbccbcbacbbcbbbccbbcbccbcbcbcbbbbbbbbabbbbcbbccbcccbcbbbabcbbbbcbbbabbcbcbcbbbabbbbbbbccbcbbcacbbbbbbbbcacbbbcccbcacbbbbcbcbbbbbbbcbcbbccbcbbbccbbbbbbbbbbbcbccbbbbbbbcbbbbbbbcccbbbbcbbbbbcbbbbbbccbbccbbbbbbcabccccabcbbbcbabcbbcbccbbccbbbaabcbbbbcbcbcbabcbbbcccbcbcacbbbabbcccbcccbcbccbbccabbbbbbcccbbbcbcbcbbbcbcccbcbbcbcbbbbbbbbbcbbbbbbcbcbccbabcbbbbbbbbcbbbcbbcbbbbbabcbcbbbcccbbbcbbbcbcccbcbbbccbbbbbbbbccccbbbccbbbbbcccbccbcbcbbbcbccbbbcbcccbccbbbbccbbbbbbbcbcbbbbbbccbbbccbcbbbbccbbbbccbbccbcbcbcbbcbbbcccbbbccbcccbbcabcbbbbcacbacbcbccbccbbcbcbcccbbbbcbcccbabbcbcbbbbbbcbbcbbcbccbbbbcbbccbacbbcabbbbccbbbbccbcbcbbbbccbbbbbbcbbbcbbbacbcbbbccbbbbbbbbbccbbbbbabbbccbbbcccccbbbcbbbbbbbbccccbaabbcbbcbcbbcaccbbcbccbbbbcbbbccbbaccbccccbbbbcbcbcbbbcbbbcbbbbcbccccbacbbbbbbcbccbbbbbbbcbbbbccbcbbcbabccbbbbcbbbbcbbbbbbbbbbcbcbbcbbcbbcbbbbbbbbcbbcbcbbcbbbccbbbcbacbcbcbbbbcbcbbcbcbbcbccabbbcbcbbccbbbcbcbbcbaaccccbbaacbbbcabbacbbbbacbbcbbababacbccbcbcccabbbbbbbcbbbbbccacbcbacccabaccccccbbcbacbbbbbcbbccbcbbcbbcccbbccbccbabbcbbbcbbbacbbbbcbbcbbbcbbbbcbbbbccbcbcbcbcbbbccabbccbccabbcbbcbbbbbbbbbbbbbbbbbbbbbbcbccbbbcccbccccababbbbccbccbbcbbbccbbbccbcccbcbbcbbcacbabcbcccbbbbbcbcbbcccbcabbbcbbccbbcbcbbbbbbcbcbcbcbbbbbbbbbbbcccbcbbcbcbccbcbbbcbbcbbbaccbcbbcbbcbacbbbbbccccccccbcccbcbbccbcbbbcacbcaabbbcbbacbcbccccbbcbcbcbbbbcbbccbbbbcbbcbcbccccbccbbbcbccacbbbccbbccbbbcabbbbbbbcbbbcbbbbbccbbbcbbbccccabbccccbccbbccbcbcbbbbbbcbbcbbccbcccabbcbbcccabbccbcbbbbcbbbbbbbbbbbbcbcccacbbbababcbbbbbbccbabacbbcccbbcbccbabcbcbbbbccbbbbbbcbbbbbbcbbcbbccbbbbccbbbbbbbcbbbbbbbbbbbbbbabbbcbbbccabccbcbbbbbcbbbbbbcbcabcccbcbbbbccbbbbbbbcbbcbbcbbccbbbccccbcbbbbccbccbbcbbbbccbacbbbacbccccbcbbbbcbbbbbbbcccbbbcbbbbbbcbcbbbcbbcbbbcbbbcbbbbbbbccbcbcbabbcbbbbbcbbbcbacbbcbcbbbbbbbbacbcbbbbbbbabbbbccccbbbbcbbbbbbbbbbbbcbbbbbcbbccbacacbbcbbbbbbbbbbbcacbbcbbcbcbcbbbbccbcbbbbcbbbbccbcccbcbaccbbcabccbbcbcbcbbbcccbcbbbbcbbbcbbabbccccbcccccbbbbbacaccabcbcbbcccbcacbbbbbbbbcccbbcbbbbcbacbcbbbccabbcacbcbcccccccbbcbcbccbbbbbcccbcbcccbbbccbbcbbbbcabcbccbbcbbcbcccbbbcbbbbbbccccbccbcbcbbcbccabbccbccbbbcbbbbbbbcabbbbbccccbbbcbbcbccccbbbbcbbcbcccbcccbbccbcbbcbcbcbbbccccbbbbbcbbbcbbbbbcbbcccccbcbbbabbccccbcbbccbbbcbbbbbbbcbbcbbccbbcbbbacbccbcbbbbbccbbbcbbbcbbabbbbbbcbcbccbbcccbccbbbcbcccbbbbaccbcbacbccbbcbcbcbbbbbbccbbccbcbbcbcbbbbcbacbcbbcbbccbbbbbccbbbbccbcbbbbbbcbcbcbbcbccbabbbbbcaabcbcbbcbbbabbbcbbbcbabbbcbbbbbcccbccbcbbbbbccbcbcccccbcbbbccbcbbbcbbbbcbcbcbbbcbbccbbbccbbabbbbcbbbcbcbbbbbcbbcbbccbbccbbcbbbbbbacbbccbbcbbbbcacbbcbcbbbbccbccbbbbcbcccbcbbbbbbbbcbbbbbcbbbbabbbbcccbababbbbcbbbbbbcbbbbcbbbbbbbbcabbcbcccbbcbcccbcbbcbbbabbbbcbbabcbcbbcbcbbbbcbbbbabbcbbcbbbbbcbbbbbccccbbcbbbbbbcbbbbababccbaccbcacaccbccbbbcbcbcbbcacbcbbbcbabbbcbbbbbcccccccbbbcbccbbbcbcbcbcbcbbbcbccbccbcbccbbcbcccbbccbbcbbbcbabcbcccbccbabbcbccccbbbbccbbbbcbbbcbbcbbbccbaccbbcbccbccbcbbbcbacbbbcabbcbbbbbbbcbbbbbbccbcccacbbbbbbbcbbbcbbbbcbbbcbbbbbbbcbbcbbcbbbbcbbcbcbacccbbcbbcbbcbababcbbbbcbcbbbcbbbbbbccbbcbbbbbcbbbbbbbbccccbbcacbccbbcccbbbbbcbbbcbcbcccbbcbabbbbcbabcbbcbbbbbbbcbcbbbcabbbccccbbbbbbbabbcbcbbbcbcbbbbbbbcbbbbcbbbcbabbbbccbcbacabbbbcbbccacbccbbcbcbcabbbbcbbbabcbbbabbabbbbcbabbbbcbbccbacbbbaccbbbbbcaccbbbbccbbcbbacabbbbcbccbbcbbcbbcbbcbcbcccbacbcbbbbcbbbbbbbcbbcccbbbcbccbabbbabcbbbbbbbcbbcbbcbbbbbccbbcacbbbbaabbbbbccccccbcbbcacbcbbcbbbcbcccbbcbbcbbbbbbbcbbbbbbbbccbbbbbbcbcbbbcbbbbabbbbbbbbbbbbbbbccbbbcccbcccccbcbbbccbcbcccccbbbbbbbbbbcbcbabbbbbcbbbabbbbbbcbbbcbbbcbcbbcbbbccccbbbbbbbccbcbcbbbccbbbbcbbbccbbbcbbbbbbbbcabccbbcbbbcbcbbcccabbbcbbcbbbcccbcbcbbcbbbbbbbcbcbcbbbcabbbcbbcbcbccbbcbcbccbbbbbcbbbbbbbbbbcbcbcbabbcbbcbbcabcbbcbababbbcbcbbcbbbbbbbccbccccbcbbbbbcbcbcccbcbbbbbcbbbbcccbcbbbbaccbbbbcbacbbccbabcbbcccccbbbcbcacabcbccbbbccbcbbbbcbccccbbccccbbccbccbbcbcbbcccbcbcbccbcbcacbccbbbbbbbbbcbbbbbcbbcbcccabcbccbccbacccbbcaccbccbbbcbcbcbbbcbbbcbbbccbbbbbbccbbcbcbbbbcbcbbbbccacbcccbbccbcccbbbcbcbcaccbbbbccbbcbbcbbbbbbccbccbbbbbbcbbbcbbcbbbccabcbcbbbbbbbbcbbcbbbbcbbbbbbabbbbbcccbbcaccbccbbcbabbbbcbcbbccbccbbbbbbbccbbbbcbccbcbcbbcbcbbbbcbbbbcbcbbbbbabbccbaaccbbbabbbbbbcbcccbcbbccbbacccbbcbbbbcbbcbbcaccccbbbcccbbbccbaacbbbcccbcbbcbbbbcbccbcbbbcbcbcabcbbcacbcbbbbbcccccbabbbcbbbccbcbbbcccbbbcbbbbcacbcbccbcbbccbccbccbbbacbcbcbbcbbcbbcbbbbbcbbbbccbbbcbcbbcccccccbcbbbbccbbbbccbcbbcbbccbbbbbacbbbbbcccbbbbbcbcbcbaccabbbbcbcbbbbcbabbbcbcbbbabbcbbccccbcbbcabbcccbccbbbcbcbcbbbbcbbcccbbcbccbcbbaccbbbcbbcbbcccbcbbcbbbbbbbcbccbcbbcbcbbbbbcbbbbccbbbcccbbcbbacbbcbbbccbbbccbbcbbbcbcbcbbbcbbbbbbabbabcbccbcbbcbbcbcbbbbcbcbbcbbbbccbcbabbbcbccbcbbccbcbbbccbcbbbbbbccccbccbcbbabaaccccbbccccbbbbbbabcbcccbbcbbbbabaccbcbbbbcbbbabbbbcbbcbbbcbbbabbccccbbcbbbbbccbcccbbcbcccbbbbbcbbbbbbccbbcbbbbbbacbbcccbccbbcbbcbbbccbbbcccbccbbbbbcbcbbcbcbccbcbbbbbbbccbbcbccbbbccbcbbccbbbccccbcbcbabbbabbcbbcbcbbbbbbbbcbbbabbbcccccbcbcccccbbbbbcbbbbbbcbcbccbbbbcbcabbbccbccbcbbbbacbcacbbcbccbcbcbbccbbccabbbbbccbcbbbcbcbbbccbbccbbcbbbbbcbbbcbbbbbccbcbcbbbbbbaccccbbbccccbbbabcbbbbcbbcbcccbbbcbccbbccbbbbbbccabbbbccccbbbbbbbbccbcccbbcbcaccbbbccbccbccbcbcbbbbbbbbbbbbccbbbbbcbbbbbcccbbbccbbbcbbccccbcccbcbbbbbabcbbbbbcbcbbcacccbbbbbcbacbccbbbbcbcbacabbabbbbcbbbbbbbbcbccccbcbcbbbbbccccbbbbcbbcccbbbbbaccbcbacbbbcbbcbbcbccbbbbbbbbbcbbbbcbbbcbbabcbbbbcbbbbcbbbbbbbcaccccbccbbcbccbcbcbccbbbcbbbcccbbbbcbcacbbaccaccccbcccccbbbbbcbbcbbbbcbbbcbbbbbcbbccbcbcbcabbcbbcabccbcbcbccbbcbbbcbbbbabbbbbcbcbbbbbcbcbbbbbbcbcccbbccbbbccccbbcbcbbcbcbcbbbcbbbbbaccbcccbbbccbbbcbccbbbcbbbbcbbccbbbbbbcbcbcbccbbabbbbbbbccbacccbbbabbbbbbccbbbcbcccbcbcbbcccccbbbbbabccbccabbbbbbcbbcccbbcbbbccbbbabbcbccbbcbbbcccbbbcbcccccccbcbcbbcbbbcbbbbcbbbbbcbbbbccbccbcbbccbcbcbbbbccbbcabbcbbbcbbbbbcbbccbbcbbcbbbcbbbbcabcbccbabbbccbccccbcbcbbcbbbbbbccbabbbbbcccbccbbbacbbbcbcbbbcbbbbbcbabbbcbcabbbbccbbbbbbbbcbcccbbbbbbbbbcbbcbbbbcbcbcbcccbbbbccccbccbabacbbbccbbcbbbbcccccbcccbcbcbcbcbcccccbbcabccbabcbcbccbbccbbcbbcbbcbabccbbbbbcbbbcbbcbcccccbbbbbbbbbcbbbcbcabbbaccbccbbbcbbbbbbcbbcbabbbbbbbccbbbbcccbccbbbbbbccbbbbbbbcbcabbcbbbcabbbcbcbbbcabbcbbbcbccabbbbabbbbaccbbccccbcbbbbbccbbbbbbccccbbcbbbbcbbcbbbbbbbbccbccbcbacbbbbbbbbbcbccacbacbccccbbacbbcbbbbbbcbabccbbbbbacbbbbbccbcccbbbbcbccbcbbacccbbbbcbbbbccbbbccbbcbbbcbbbbccbbbbcbbbccbbbbcbbccbcabbbbbbbcbbccbcbbccbcbbbacccbcbcacbccbbccbbcccacccbbccbccccccbaccbbcbbbbbbbbccbcabbcccccbbbccbbbbbbcbbbcbccbbcbcbbbbbabbcbbbcacbbbbbcbbcabbcbcbbbbbbccbbbbcbbbcccbcccbccbbcbbbbbbbcbcbbccbcbccbbbcbbbbbbbbcbcbbbcbbbcbbcbbcbbcbacbbbbbabbbcbbbcbbbbbbbbbbbccbbacbbbbbbbbbcbcbbbcbabcaccbcbbbcbbcbbbbccbbbcccbabccbbcbcbcbcbccbbbbbcbbcbbbbcbbbbcbcbcccbabbcbcbbbccbbcabbbbaccccbbccbbbbbccbbbbccbcbccccbbccbbcccbbabcccbcbbbbbbababcbbaccbcbbcbbbbbbbcbbbbbbbbbcbcbccbbbcbcbbbbcbbbcccbbcbbcbcbbbbbccbbcbbbccbbbcbbccbbcbbbabbbbcbacbbbbcbbbcbbccbbbbbcbbbcbcbcabcbbbcbbccbbbbccccbaccbcccbcbbcbbcbbbccbbcbcbcabccbccbcccabcbbbcbbbbbbbabcbcbbccbbbabbbcabcbbbbbcbbabcccbccbbbcbccccbbcbbbabbbcbbbcbbcbbbbbababbbccbcccbccbbcbcbbcbabccbcccbaccbbcbcccbcbbccbbcbccbbcbbbbabcbbcbbbbbbbbbbbccbcabbbbbbcccbcbcbbcbbbcbbccccbbcbbccbcbbcacbbcbbbbbbbbbccbcbccccbbbbcbabbbbccbbcbcbcccccbbbbcbcbbbbcbbccbbbbbbcbcbbbcbccbbbbbbbbbcbbbbbbbbbcbbcbcbbcbabccbcbbbbbcbbbbbcbcbacbbbbcbcbabbcbcbbbcbbbbbbcbbbbcccbcbcabbbaccbbbbcbbcbbccabbbbbbbbbbcabbbbcbbcbcbcbcbcbbbbbbccbbbbbbcbbbbcccbbcbbcbbbbbbcbccbcbcbbbbbbbabcccbbbbbbbbbbcacccbccabbcbbbbcbbbbbbbccccbcabbbccbbaacbbbbccbcbbcbbbbbbbcbbcbcbbccbbbcbbcbbcccbbbccbcbbbbbabbcbccccbcbbcbbbbcbbbabccbbcbbbccbbccbcbbbbbbbccbbcbbccbcccbbcccbbcbbccbbcbbcbcbcbbbbcacccbcccbbcbbcbbbbbbccbcbbbbcccbbcbbbcccccbbbbbbcbbcbbbbcbcbbccbbbbbcccccbbbbbbcbbbbbbccbcbcbcabcbbbcbbccccbbbccbccabbbbcbbbcccbccbcbabbbbbbbbbabcbbbccbbbbbbbbbbabbcbcccbbbbbabbcbbbbbbcbcbbbbccbabbbbbcbbccbcccbbbbcbabbccbbbbcbcbcbccbcbcccbcbbcbbbbccbbaccccbbabccbcbcccbcbbccbbbbcbbccbbbabbbbabcbbccccbcaccabbcbbcbbbccbbbbbbabcbbbbcbabbbcbbbcbccbcbbbbccbcbcccccccccccbbbccbbbbbbbbbbbbbcbbbbbcbbbbbbbbbcbcbcbbbcbcbbcccccbbbcbbbbcbcbbcbccccbccbcabbbbcbcbcabbbbcbbbbcabcbcabbbaabcbbcccbbcacccbbbcbbcbbcbccbbccccbbbabbbbcbbccbacbccbcbccbcbcbbbbbbcbbbbbbbcbcbbbbbcbccbbbcbbcbbbccbbabcbbbbbcbcbbbabcbbbbbbccbabcbcbcbcbcbbbbcbccbcbcbcbcbbbcbbbcbbabbbcccbcbbcabcbbbccbbbcbbbbcbbbbccbabbbbbbcbcbbbccccccbccbbcccbcccbbbccbbcbacbbcbccbbbbbbccbbbccbbccbcbbbbbbcaccabbbbbcbbbbcbbbbbbbabcbccbccbbbbccbcbbcbbbbcbccbbcbbccabbbcbbccbcbbbbbbbccbbcbbbbbccbcbbbbcbcbcbbbbbbbbbbbbccbbcbbcbbbbbbccbcbcbbbbbcbbcbbcbbcbcccbcccaccbbbbbbbbbbbcbbabbcbabbccabbcbcbbbbcbcbcbccbccbccccbbcccbbbacbcbbbbcbbcbabcbbbaccbccbbcbacbbcbbabbacbbcbbbbbcbcbccbccbbabcbbbbcbccbbbcacbbcccbbbbcbcbbbcbbbbcbbcbbbbbccabbbbbccbbcccbbccccbbbccbcbbcbccbccbbbccccbcbbcbbccbbbbcbcbbcbbcbbbcbbbbbbbbbbbbacbcbcbcbbcbbbbcbbccbbcbbccbcccbbbcbcbabcbbbbbbbbbbbbcbcbcccbbbacccbbbbbbbbbbbcbcabbbbbcbbccabbbbcbbbbbbbcbbcbbbbbbbcbbcbccbcccbbbbbbbbcbbccbbbbabcbabcbccbbbcbbcbbbbbbcbbbbbbbbbbbbbbbbcbbbbcbacbcbbbbcbbbbbcbcbbbbbccccccbbbbbbbbbbbbcbcbcbccbbbccbcbbbbbccbbbcbbcbbcbccccccbccaccbcccbbbcccbbbbbcbbcbcbcbbcbaabbbcbcccbcbbbbccbbbbbbbbcbbcccbbcccbcbbbbbbcbbbbbcccbbbbbbbbbcbcbbcccbbbbbbacbbbbbcbbccbaacccbcbcbbccbbbbbbbbbbccccbbcbccbbbbbbbccccbbbccbbcbbbbcacbcbbbcbbbbbbbbbbcbbbcacbcbabbbbbccbcbbbccbccbbcbbbcbbbccbbcbcbacbbbbccbcbcacbbbbbbccccbbcbbcaaccbbcbcccccccbbbbbccbbbcbbcbcbbbccbbbcbabbbccbccbbbcbacbcabbbbcccbcccbabbbbbcbcbbbbbbccbbbbbcbcbcccbbbbbcbccbcbcbbcbbbbcbbcbbbbcbcbbbbbbbabcbabbbcbcbbbcccbbbcbccbbccbbbbbbbbcbbbcbbbbbcbbcbacbbbcbbccabcccacbbccbcbbbcbbbbbbbcbbccccbbbbcbbcabbabbbbbbbbbbbbcbbbbbccbbcabcbcabbcbabcabbcabbbbbbcabbbbbbcbcbcbccbacbccbbbbcbbccccbbbbbcccbcccbcbccccbbbcccbcbbbcbbbbccccbcccbbbcbcbcbcbbcbbbbbcabbbbbcbcbbbcbbbcbbacbcbbcbbcbbbccbbcbcbbcbbbbcbbcbbbbcccbbcccbbbbcbbcbbbbccbbbcbbbbbcbacbbbbbbbbbccbabbcccbbcbbbbbabbcacbbbccbcbbcccccbcbbbbbcbcbccbbacbbbbcbbbbcbcccbbccbcbbbacabcbccccbcbbacbbcccbcbbbbabcbcbbbbcccbbbcbbbbcbbccbcbcbbbbccbccbbbbbbbbbbbbbccaabcccbbbbbbbcbcbcbbbbcbcbcccbbbbabbbbbcccbbbbbccbbbbbbcbbbbbbbbbbbbbcbcccbccbbbbbbbcccbbbcbcbbbbcbccbbbcbcbbbbbbcacbcbbabccbccccbbbcbccbbccbbcabbcbcbbcbbbbbccccccabbbcbccbbccbccbccbcbcbbbbcbcbbccbbbcbcccbcbbcbbbbcbcbbbbabbccbbccbbcbcbbbbbcccbbccccbbbbbbcbbbbbbbbbaccbbbbbbbbbcbbcccbcccbbbbbcbbabcbcbccbbacccbbcbcbbccbcbbbccbbabbbcbbbbbaccbbbbcbbccbccbbbbbcbbcbabbbcbbccbbcabcccbbbbccbbbbcbcbccbcbcccbbcbbcbbbcbbbbbbbcbbbcbbbcbcbbbbcccbcccbbbbcccbbbbcbbbcbccccbcbbbbcbcbcbbcbcbcccbbbcbcbbabbbbbcbbbbcccccbbbbbbbbcbbbbbbbbccbccbccbbbbbbbcbbbccbbbbbbbccbcbccbaccbccbcbbbaccccccccbbcbbbabbcbbbbbbbbccbbbbbbcbbbcbbccbbbcbcbbbcbbbbbbbbccbcbbcbbbcbcccccccbcbbcbccbccbbcbbcbbbaccbbcbbcbacbcccbbbcbccbbbccbbabbabbcacbbcbbbcbabccbbbbccbccbbcbbbbbcbbbbbcbbbbbbcccbbccbbbbccbacacbcbbbccabbbcbbbcabbccccbbbcbbbbabbcbbcbbbbbbbbbccbbccbbbccbccbcbbbcbbbbbbbbbccbbbbbccbccbcbcbcccbabbbbbcccbcccacbbbbccbbcbbbbcbccbbcbcbccbbccbbbbbbcbcbbbbbbbcbccbabbbabbbbbcbcbbcccbbbbcbbcbbbbbcbcbcbbcbbbcbbbcbbbbbbbbbbccbbbbbbbbbcbbcbbbccbbcbbbbbccbbabbbcbbabbabbccbbbbbccccbbbccbbbbbbcbbbcbbbbbbbbbbccbcbbbbbbccbcbcbcbbcccbbbcccbbbbbcbbbccbbbbbbbcbbbcccbbbcbccbbbcbabbabccbbcbbbbbbbcbbccbcccbbbcabbbcbbbbbbbcbcbccbbbbbbbccbcbbccbcbbccbcbbbcbccccbabcbcbbbbbbcccbcbcbcbbbbbbcccbcbbbbbcccccbbbcabcbbbbcccccbabbbbccbbbbbbbbcbcbbacbcbbccbabbccbbbbbabbbabbbcbbcbcbcbcbbbbbbbbcbcbbbccccbccbbcbbcbcbcbbbcbbbbbcbcbbbbacbcbbcbbcccccbbbcbbbbbbbbbbcbcbbbcbbbcbccccccbbccbbbbcbbcbbbbcbbbbccbcccbcbbccbbbcbbbbbcbcbccbbabcbbbbcbccbbbbcbbbbbbcabbbcccbbcbbbbcbbbbbcbbbbcccbbbbbcccbbbbacbbcbbbccbbcbbbbcbcccccbbccbacbbcbcbbbccccbbbbbcbacbabcbcbbbbcbccbbbbccbbccbbbcbbcbbccbcbbccbcbbcccbcbbbbbbbbcbbcbbbcbbbbacbccbbbcbbbccacbcbbbbbaabbacbbbbcabbbccbcbcbccbbcabcbcccccccbcbbbcbbbbbbcccbacacbcabcbbbcbbbbcbccbbbbcbbbbccbcbbcbabcbbbacccbbcbcbbcbbcccbbbbbcbcabbbbccbbcbbcbbbcccbbccbbbbbcccbcbbbbcbcbbcbbbbcacbbcbcbbbbccbbbcbbbbcbbbbcbcbbcbcabbccbabbbcbcbbccccbacbcbbbbbbcbbcabcbbcccbbbbbcccbbbbcbbbbcbbcabbbbcccbbbbcbcbcbcbcccbbbcbcbcccccbccbcccbbbccccaccbbbbbabbbbbbaccababcccbbcbcbacbbbbbbccbbbbcccbacbcccbbbccbccbbbbbbbbbcbbbabbcbbbbbcbccbbbbbbbbcbccbbbbbcbccbbcccbcccbccbbcbbbbccbbbcbcbbcbbbbcbbbbcbbbcbbcbbbbbccbcbbbcbcccbbbccbcbbbbcbbbbbbbbbbacbbbcacccbbbbbbbbbbbbbccbbbbbbccbbbbcbcbcbccccbbbbcbbbbbbbcbbcbcbcbbcbabbbcbcbbcbcbbbbccbcaccbcbbcbcbbbcbbbbbcccbccabccbbcbcbcbbbbacbccbbbbcbcbbbccbbbbbccbaccabcbbbcbcbbcbbbbbcbbbccccbbabcbccabbccabcccccccbabccbcbbbbbccbabbbbbbaabbbbbbbbbbbbcccbcbcbbbbbbbbbbbbbcbabbbbbcabbcbcccbcccbcbbbbbcbbbbcbbbbcacbcbccbbbcbbcbccbbbbcbcbcbbcbbbbbbbbabcabccbbbcccabcbbcbbbbcabbbbcbabcbbbbcbbcccbcbccbbbbbbbccbbbbbbbcbbccbbbbbbbbbbccccbbbbcbbbbcbbbbccbbccbcacbbbcbbbccbcbbbbbacbbcbbcbbcbbbbbbbbbcbcbcbbbbcbcbbccbbbcbbbbcbbbbcccbcbbbcbbcbbbbbbccbbbbbbcbbcbbcbbcbacbcbbbabccccbccbbcbcccbcabbbabbabbcbbcbbcbbcbbccbbbbbbbbccbbbccbbbbcbbbbcbbbbcbbcbbbbcbbcbbbbbcbbcbbcbccccacbccccccabbabbbcbbbcabbbcbccbbbbbccbccbcbbbbabbcbccbbcccbbbcbbccccbbcbbccbaccbbbccbbbbbbaabbbbbbabbbbaabbbcbbbbcbbbcbcbcccccccbbcbcbcbabbccbbbbbbbcbcccbbbbbcbbbcbbbbccbbabcbcbcccbbbcbbbbbcbbcbccccbcbbbcbbbcbbabbcbabbcbccbcbbbacbbbbbbbbbbbbbbcccccbbbcbbcbbbccbbcccbbbcbbbbcbbbbcbaacccccbbcbabbbbbbbbabbcccbccbbbbcbccbbcbbcbbbccbbbbccccccbbbcccbbbcbcbbcbbbbbcbbcbbcbcbbcbbbcbbbcbbbcccbccbcbbbcbcbbccbbcbacbabccbbcccbcbabcbcbbbbccbcccbbbbbbcbbbcbbbcbabbcccbcccbbbbccbbbbbcbcbcbcbbbbbccbbbbbccccbbbbcbccccccbbbccbbbcbcbbbbccbcbbbbbbbbbbcbbbccbbcbbccbcbbccbccbbbbbcbbcbbcbbbcbcccbcabbbbacbbbbbbcbbabbbaabbcccbccbbccbbcbbbbbbbbcbbbbbcbcbbbcbcbcbbbcbbbbcbbbbbcbbbcccccbbbbbbbcbabccbbbcccbcbcbcbccbcbccbbbbbbbbcbbbbccbbbbbcbbbbcbbbbcbcbbbabccbbcbcccbbbccbcabcabbbccbcbcbbbbacbbbbbbcbbbbbbbbbbbbcbbbabcbcbbbccbcbcbbcabbbbbbbccccbbcbbbccbbabbcbababbcbbcbbccbbcbbbbbbbbbababccbbcbbbbbbcbccccbcbabbbccbbcbbbbbbbcbbabcbcbbbcbbabcbcbbccbbbbbbccbabcbccbbbbbbccbaacbcabbaccccbccbbacbbbbccbcbbaccbbcbcbccccabccbbbccbbcbbbbcbcbbbabccccbccbbacacbbbcbccbcbbbccbbcbcbbcbbbccbbbccbbbcbbbccbbbcbbccbbbcbcbacbbcbcbbccbbcacbbbcbcbcbbcbcbbbbbbbcbbcbccbbcbbbcbbccccbcbbbbccbbbccbbbaacbcccccbbccbabbbcccccbccbbbbcbbcbbbcbbbbccbbcbaccbbbbbbbcbcbbbcbbbcaacbbbbbbbbbbbbcbccbbbbacccbbbcccbabcbbbcbbcbcbbcbbbbbccbccbbccbbbbcccbcbbbbcbbbcbccbcccbcbbbbbbbcbbbbbbcbbbcbcccbccacbbbbccbbbbcbbcabcbbbcbbbbbbabcccbbbbbcbccbcabcbbbacbbcccbbbcbbccbbbcbbbbbccbcbcbccbbcbbbbcbbcbcbbbbbbbcbbbcccbbcccbbbcbccbbaabccbcbcbcbbbbcbbbbbbcbbcbbbcbcbbcbbbbbcbbbcbbbbcbcbcbcbcbbbbcbbbbbbbcbccbcbbbccbbcbbcbbcbbbbbccbcbbbccccbcbcbcbbbbbbbcccbbbbccbcccbcbbbcbcbabcbcbbbcbbbbbbcbbbbcbcccabbcbbcbbbbbaabbbcbcbcccabbabbcccbcbbbccbbcbcbcabbbbccbabcbbbcbbcbcbbbabcbbbbbabbbcbbbcbbbbbbbbbabccccbccbcbbbccbcbbbbbbcbbbbbbacbbbbcbbccccbccccbcbbbbccabbbabbbbbcbcbcbcccbbbbccbcbbbcbbcbbccbcbbbcbbbbbbbcbcccbcbcbbcbbbcacacbbbcbbbbbcbbbbccbbbcbcbcabcbbabcbbccbbbcabcbbbbbcbbccbcbcbbcbbbbbcbbbbcccccbbbbbcccbbccccbbbabbbbcaccbcbbacbbbbbbcbbbcbbbbcbcccbbbbbccbbbbbbbcbbbbcbcccbbbbabbbcbacbbbbbbbbccbbbbbcbbbcbccbccbccbcbcccbccbbbbbcbbbcbbbbbcbbbcbbccccbcccbcbbccbbcbcbabcccbbcccbbcbbbcccbbccbbbbbabbbcbcbccbbccbcbbcbccbcbcbcccbccbaccbbbbccbcccbbccccccbcbbcbcbcbcbcbbcbbcbbcbcbbbcbbbbbcbccbbcbbbbcbcccbabbbbccbccbcbbcbbbbbcbbbbbbabcbbcbcbcacbbbbbabbccccbcccccbccbbbbccbcccbbbcbbbbccbcbbcacabbbbcbbbbbbbcbbccbbabbbbbbbbbcbbbcbbccbbbcbbbcbbbcbbcbbcbabbbbcbbcbcbbbbbcbbcccbbcbbbbcbbacbbcccbbccbbbbbbccbbcbccabbbbcbbcbbbbcbbbbbbcbbbbbbccbcbbbbbcbcbbcbccccbbbbbbcbbcabbbbbbccacbbcbbcbbbbccbbbbbbbcacbbccbbbbbbccbbbbbbbcbbcbbbbbaccbcbccbabbbccbbbabbbbbbbbabccccbabcccbbbcbbbbbbbbbbabcbccbbbcbccbabbbbcbcbccbbbcbcabbbccabbbcbbbcbbcbbcbbbbbcabbacbbccbbccbbcccbcbbbcbbbbbcbcbbcbbcbbccbbbcccbcbcbcccccbbacbbbbcbbbbcacbcbbbbbcbbacbcbcbbbcbcccbcbbcbcbabcbcbabbbcbbbbcbcbbbbbbccbbbbcbcbbbcbcbbbbcccccabbcbcbbbbbbcbbbcbbbbbbcbccbbccbbbbcbbbcbcbbbcbbcccbbcbcbbbbccbbbaabbbbcbbcbccbbbcccbbbbcbcbbbccbcbbbcbbcbcccbbbbcbbbcbcbcbbbbcbcbbbbcabbbbbbbcbbcbbbbbbbbcbbbbcbbccbabbbccbbcccbcccbcbbbbbbbcbbcbccbcbccbccbbbcabbccacbccabbbcbbbcbbbbcbbbbbccbcbbcbbbbcbccbbabbbbbbbbccbcbcbcbbbcbacabbccabbbbccbcbbbcbbbbbcbbcccabbbbbbbbbbbcbbbbbcbcbbcbccbbbccbcbbccbbbaccbbbccbcbbccccbbbbbacbbbbbacbcbbcbabbbcbbccccbbccabbbbcbbbccccbbccbcbcbbbcacbbbcbbcbcbbbbbcccbccbcbbccbbccccbbcbbcbbbbbbbbbcbbbbcbcbbabbbcbcbbbbcbabbcabbabcbbbbbbbbbbccbcbccbcbbccbbbcbbbbccbbbcbbcbabcbbcbcbbbbcbccbbcabbbbbbcccacccbbbcbbbbbbbbaccbcccbcbbbcbbbbccbbbccccbbbbcbbbccbbbbbbcbbbcccabbcbbbcbbcabbbcccbbcbcbbbbbbbbccccbbbcccabbbcbcbbccbbbbbbbcbbccbbbbbbbbbabbcccbcbbbbbcccbbcbbbbbacbacbacbccbbbcbbbabbbccbcbcbbbbbbbcbbbbbcabbbbbbcbbbcbbbbbcbbcabcccbcbccbcbbbbcbcbbbabcbbccbbcbccbbcbbcbcbcbbbbcbbccbbbbabcbbbbccbbbbbcbcbbacbbbcccbbccccccbbbbcbcbbbbbcccbbcbbbcbcbcccbbcccbbcaccbbbcbbbbacbccccbcbbbbbcbbbcbbbbbccccbbbaabbbcacbcccccbbcbbcbbabbbbccccbcbbbbabbbbbbcbbbccbccbbbabcbccbbccbbcbbbbcbcbcbccccbcbbbcbcbcbccbbbbccccbccbbcacbbbbbbbbbbcccccbbbbcbbbbcbbbbcbbbbbbccbccccbabbbccbbcbbbbcccabbcbbbbbbbbbbbbbcbbbbbbcccbbbcbbbbbbbcbbbbcbbbbbcbcbbbbcbbcbbbbcbbcbbbbbbcbccbbbbcccbbbbbcbccccccbbbccbbcbbcbbbbbbccbbcbbbbbbcbbcbbbcbbcccbbbbcbbccbccbcbcbbbbbbccbbcbbcbcccccbcbbbcbbcbbbbbbbccbbacabbcbccbbccbbbbbbabbcbbbbbcbbcbcccbbcccccbbabcbccbbbacbbbbbccccbbcbcccccbccbcccbbcbbbbbbcccbccbbbbbbbbbccbbbbbbbbcbbbabcbcbcbcccbbcbbbccbbabbbccccbbbacbacccccbcccbbccbbbbcccccbbcabbcbccbbbbcbccbbbbbbbbbcbbbacabcbbbbabbbcccbbbbbcccccabcbbbcccbbccabcccbbbbcccbbaccbbccbabcbbbccbcbbbccccbbcacbccbbbbbcbcbbbbcbcbcbcbbcccbacbbcbbcccbbbbbccccabcbbbbcbbbbcbcccbbbcbabccbccbcbbcbcbbcccccbbbcbacbbbababbcbbbcbcbcbbbcbbabbcbbabcbbbbccccbbccbbbbccbbcbcbbabcbbbbcbcbbcbcbcbbbcbbcbbbbbbbbbbbcccbbacbccbbbbbbbcbccbbcbbbcbbbcbbbbbbcbbbcbbbcbbbcccbacbccabbbbbbbbcbbbbabbcbccbbbcaccccccbcbbbbbcbcccabccbbbbcbcabbbcabbbccbccbcbbbabbccbbcbccabbbbbbccbbbcbbccabbbbbcbccbcbcbbbbbcbbbbbbbbbbbbcbccbbbbccbcccbbbcbbbbbbcbbbcccabccbbbbbabbcbbbcbbbccacccbbccccbbcbcccbccbbbbcbbccbccbbbbbbccbbbbbbbbbccbcbbccbbcbccbbbbbbcbccbbbbcbbcccbbcbcbbcbbcccbabcbbbbbbbbbbbbbbbbcbabbcbbbcbabbcbbcccccbcbcbbabccbbaaccbbaccbbbbbbbbbcbbccbcbccbbbcbcbbbbbcbbcbcbcccbbbbbcbbbbbcbcbbcbbbcbcccbcbccbbccbbbabcbcbbccbbcbcabbccbcbcbabbccbbbbcbcbcccbcccbbbbcbcbbbbbbbbbbccbcccccbbcbbcbbbcbccbbbccbccbbcbbccbcbbbcbbbccbcbbbcbbcbbbbbcbcbbbbcccbccbbbbacbbbcbcccbbbbcbabcbccbbccbbccbbbabbcbbacbbcbcccbccabbcbcbbccbbcbccbbabccccbbbbcbbbbbbccbbccbbbcbbbcccccbbcccccccbcbbccbcbbbbbbbbbcbbbcbcabbbbbbbbccbbccbcbbcbbbcbcbabbbccbccccbbbcbbcacabbcccbcbbbbcbbcbbbbbcbbaabbbbbbcbbcbbbbbbcbcbcbbabcbbbbcbbccbccccbbcbcccbbbbbccbbbbbcbacbbbbcbbbcbccbbcbbcbbccbccaacbbbbbbbbbcabcbcbbbccbbbbcaccbcbbbbbcbbcbccbbcccbbcccbbbbbccbcbbbbbbbbcbccccbbbbbcbbbcbccbbbbcbbbbccbbbbbcbccbbccbcbbbbccbbccbbcbbbcbbbcbbccbbbcbccbbcbbbbbbbbbbbbbbcccbccbcbbbcabbcbbbcbcbcbbbbbbbccbbccbcbbbabbcabccccbbcbcbbcbcbbcbbbbbcbccbbbbbcccbbbbbbbbccbbcbbbbcbbbabbbcbbbbabbbcbbccbcbccccbbcbbbbbcbbbbbcbbbbcbbbcbbbcbbbbbcbbbbbbbbbbbbbcbbbcbbcbbbbbcacbbbcbcbbbbbbbcbcbcbbcbccbbcccbccbbbcbcbcbbabbbcbbccbbabcbbcbbbbbbbbbbabbcbbbcbbbcbbbbbcbcbbabcbccbbbbbbbcbbbbccccbccbbcbcbbbbbbbbbbcbbbbcbccbcbccbbbcbcbbcbcbcccbcccbccbbcbbbbccbcbbbcccbbbcccbbbbbbbcbccbccbbbbcccbbbbbbccbbbbbbbacbcccbabbbbbbbcbccbcbbcbbcabcbcccbcbabbccbcbcbcbcbabaacbbbbbcbccbbcbbbcbccbbbbcbcbbccbcacccbbbcabbccbbcbcbbbcccbbbbbcbccbbbbbabbbbcbccbcbbcbcbcbbbbccbbbbbbbcbcbccbbbbcabbabbcbbccbccbbbbcbbbbcbcccbbbbacbbbccbbbbbbcbbbbbccbbbbbcbbbbbcbcbbcccccbcccbcbbbbbccbccbcbbccbcbcccccbbcacbccccbbbbbbbbaccbccbbccacbbccbbbcbbccbbcbbbbbcbbcbacbbcbbbbbccabbbbbbcbcccbbbbbbbbcbcbcbbbbcabbbccbbbbbcbbcbbbbbbbcbbbcccccbbbbbbbcbcbbcbbbcbccbbbccbcbabbcccbbcbbcabbbbccbbccbbbbbccccccbccbccbcbbccbbabcccbbbcbccccccbbbbcabcabbbbbbccccccabbbacbbcbbcbbbccbbcccbbbcbbcccabcbbcbbbcccbcbccbbcbccccbbcccbbbbbbcbbbcccbbbbabccbaccbbbabcbbbcbbbcbbbcbbbcbbbbcccabbbccbccbbbbcbbcccbbbcbbbbcbbbcbccbbcccbcacbccbbccbabcbbabbcbbbccbbbbbbbcbbbbbabbbbcbbbbccbccbcbcbbbccbccbccbbccbbbbbcbbbbbcbbbbbbbcbbcbbcbcbbbccbaccbbcbbbbbbbbbbbcbbcbbbcbbbbbbbbbbbcbbcccbbbcbbcccbbcbcbbbcbcbbbbbcbbbbcbbcbbcacbbbbbacbbccbccbcbbbcbcbcbbbbbbcccbbbccbcbbbbbbcccbbcbbbbbbbbbcbbbcbbbbccaabccbccccbbbbbbbbbabbbbbbbbbbbbbcbbbcbcbbbbabbbbbbbccbcbccbbbbbbbbbbcbbbbbcabbbacabbbbbbbbbcbcbbbabbccccbbcbbcbbbccbbcbbbbbbcbcaabccbbbccbbcbbcbbcbacbabccbcbabccbcbcbbccbbbccbbcbbbbbbbbcbccbcabbbccbbbccccabcbbbbbbcbbbbbbccbcbbbbbbbabcbbbbabbbbbbcbbcbbbcbccbbbcbbbbbccccccbbcbcbbccbbbbccccbbcbbcabcbbbbcbabbbbbbacbabbcbbbbbbcbcbbbccbcbccbcccbbbcabcbbabbcbbbbbbbccbabbcbbcbbbcbbbbbcbcbbbcbcbcbccbbaacbbbbcccbbcacbcbbcbcbcbbbcbcabbbbbbbbcbcbcbbbbbabccbbbccbabbbbbcbbbcbabacbbbbbbbbbcbbcbcbbabbbbbcbccbbbbbbccbbcbbbbbcbabbbcbcbbbccbbcbbbbcbabcbbbbcbcbbcbbbbbbcbcbbbcbbbbbbcbcbbbcbcbbabbbbbbbcbbbbcbbbbbcccbcbccbbaccbbacbbcbcbbbcccccbbbbbcbbbcbcbaaaabbccbbbbcbbcbbbbbabcbbbbcbacbbbbbcbbbaccbcbccbbbbcbcbcbccbbcccabbcbcbbbbbbbbbbbbbcbbbbbbcbbbbccbbbabbbbbbbbabbbcbbcacbbbcbbcbbcbbcbbbabbbcccbbbbccccbbbcbbcccbbccbbcbcbbcbbbbcbbcbbcbcabbbbbcbbbbcbccbbbbcacbbbcbbbcbcbbbbbccbbacbbbcbacbcccbcbbbbbbbbccccbaccbbbcbbbbcbcccbbbbbbcbbbccbbbbcbcbbcccbcbbbbbcccbbcbcbcbbcbbbbbbbbbcbbbcbbbacccbbbbbbbcbabcbbccbcabbbbcacbbccbbbbbcbbbbabbccacbbcabcbacbbbcccbccacbbbcbccbcbbcaabcbcccccbbbbccbbbbbcbaacccccbbcbcccbcbbbccbcbbbbabbccbccbcccbccbabbcbbacbbcbbbbabbcbbcbbbbbabbcccbcbbbbcabbcbbbcbbcabbcbbcabbccbbbababbbcccbbabcbcbcbbbbbabcbbbcabccbbabbcbbbccbccbcbbbcbcccbcbbbbccbbcabcbbbbccabcbbbbbbbcbbbbbbbcccccbbbbbccbbbcccbbbbbacabbbbccabcccbbcbbabbcbbbbcbbbcbcbbbcbcccbbbccbcbbbcbbcbbccccbbcccbbbbcbccbbbbbcbbcbbcccbcbbbabcbbbacbbacbcbcbbbcbbbbbccbbbbbbcbbbcccbcbccbccbccccbccbbcbcbbcbcbbbbbcbbcbbbbbbbacbbbbacccbbcbbcbbcbbbbbbbccbbbbbcbbcccccbbbcccacbbbabbcbccbbbbbcbccbcbccccbbbcbbcbbbcccbbbcbbbcbbbbccbbcbcccbccbbcbabcbbbbbccccbbccabcbcbbcbbbbbbccbcbbcbacbbbbbbbcbcbccbabcbbbbbbcbbbbcabbcbccbcbcccbbabbccbccbcbccbccbbbbbcbbbccaccbcbbbbbbbbbbcbccaabcccbbcbcbbbbcbbacbbbcbcbbbccbbcbbcbbbbbbbccbbbcccbbbbccbbbbcbbbbbbbbccbabbcbcbbbccbbbcbbbbbcbbbcbbbbbcbbcbcbbabccccbcbbbcbbbbcbcbbbcbbbcbbcccbbcbbccbbbbbbcbcacabbbacbbbbbbbcbcbcbcbbcbbbcbbbcccccbababbbbbcccbcbacbbccccabbbabcbbcbbbbcbccbcccbccbbccbcbbbbbbbbcbbbbbbccbbcbcbccbcccbbbbccbbbbbcccbbbbcbbbbccbbccccbcaccbbbbcbbbcbccbbcbbcabbabccbbbbcbbbbcbcbbbbbbbbbbacccbcbbbbccbbbcbbbacbbbccbbcbbabbcbbbbcabbbbabbbbbcbcbbaccbbbcccbcbbbbbbbbbbbbbbbccbbbbccbcbbbbbcbbccbbbbbcbcbbbbbcbbcbcbccbbbcabcababcccbbcbbbacbccbcbbbccbcbbbaacbbcbbccbabbbbcbcccbbcccbcbbaccbbbbbccbbccbcbbbbbbcbbbcbbbbcbbbcbbcbbbccccbbbbcbcbbbccbbbbcbcccccbcccbbbccbbbbcbbcbcbbbccbcbbccbccbbbccbbcbbbcbccbabbaabbbbbccbbcbbbbbbbcbcbccbcbacbbcbbbccbbbccbcbcbcbbcbbbcbcbcccbbbcbcccaccccbbcbbcbbbbbccbcbcbcbbbacbcacbbbbcbbabccccbbbcbbcbbbbccabbabccbbbcccbccbbbbbccccbbbbbcbbbbcbbbbcbbbbbbccbccbacbbbccbbcbbcbcbbbcbcbbbbbbbcbbbcccbbccbcbcbabbcbbbcccbbbbacbccccbbbbbccbcbbbbbcbbbccbcbbcacccbcbbbcbbbbbbcbccccbcbcbcbcbabbcbbbbcbbbbcbcbbacbbccbcbaacbcbbcbcbabbcbcbbabbaccbbccbcbcccccbbccabbcbcbbbbbbccaccbbbcbbcbcccbbccbbbbccbbbccccbabbcbbbbbbbcccbcbbbbbcbbbbbaabbcccbbbaabbbccbcbcbcbbccbbcbcbccbbbbbccbbbcbbcbbbbccccccbcbbbbccacccbbbbcbbabbbcbbbccbbcbcbabcbbcbbbabcbbcbbbbcbbbbcbbbbcbbcbbcbcbaabbbbcbcbbcbccbbcbcbcbcccbbbbccbbbcbbcbbaabbcbbcbcbbbbbbbcccbbcbccbccbbcbbbbbcbbbbbbbbbcbbbbbbbbbbbbbccbbcbbbbcbcbbbbbcccacbbbbcbcbabccbbbcbbacbccccbcbcacbbbacbbbbcbbbbbbbbbbbcbbbbaccbbbbcbbbbcbbbcccbabbbbbbbcbbbbccbbaccbbcbcbbbcbcbcbbbbcbbbcbbcbbcbcbcccbbcbbbbbcabbcbbcbccccbbcbbcbbbbbbccccbbccbbcccbbbbbbcbbccccbcbbbbbbbabbbbcabbbcbbbbbbbbbcbbbacbbccbbbbbbcbbbbbcbcbcbcbbcbbcbbccbcbbbbbbcbcbbccbbcbbbbacbbbabbbbbcbbbccababbcbccbbbbcbbcbbbbcbcbbbbbbcbbbccbccacbcbcbcbcbcbbababbbbbbbcbbccbbbbcbcbcbbcbccccbbbbcccbbbbbbcbbcccccbcbbbbbbcccbbbcbbbbbbbcccbccbbcbbbbcccabbbcbcbbbbbbbabccbbbbbbcbbccbbbbbcbbbbbbcbcbbcbcbcbbbcccbbcbcbbbbcbabbcbbccbcbbbcbcbcbbcbbcacbbcbcbccbbbcccbcbbcbccbcccbbbbabbbcbbabccbcbbbcccbbbbbbbbabbcbbbacbbccbbbbbcccbbbcbcbbcbbbcbbccbbbcbcbcbbbbcccccbccbabbbbbbbbbbbcbbbbbbcbbcbbcbccbbcbcbcbcbcabcbbbbcbcbbcbbbbbbbbbcbbcbbccbcbbbcbcbccbbbbcabcbcbbacbcabbbcbbbcbbbbbbbcbbcccbbcbcbbcbcbbbcccbbccbbbbbbbbbbbcbbbbabcbbccbbcbbcbcbcbbcbbbcccabbbbbcbbcbbbbccbcbcaacbbbcbbcbbcccbbbbccbbbcbccbbbbccbbbbcbcbcbbbbbbcbabccacbbbccccbbaaccacbbbcbbbcbbcbcbbaabcabcbbbbbccbccccbbbccacccbabbbbbbcbbbbcccbbbbabbccabbcccbbbbcbbcccbcabbccabcbcccbbbcbccbbbcbbabbbbbccbbbbaccbbbbbcbbbccbcccccbacccccacbcbbccbbbcbcbcbcabcbcbbbbcccabbbbcbbbcbbbcbbacbbbbcbcbabbbcccbbcabcbbbbcbbcbbbbccbcbbbbbccbbccbbcccbbbcccbccbcbbcbcabccbcbbccbbbbbbbcbbbbbbbbbacacbbbcbbbbbbcccabcbbcbcbaccccbcbcbbbbbbbccbbbbbbbccccbbccbbcabcbccbcbcccbbbcccbccccbcbbbbcbbcbcbbbbbbbbccccbbbccbbbbbccbcbacbacbcbbcbccbbbbcbbbccbbbbbccbcbcbbbccbcbbbcbbbbbcbbcabbbbaccbbbbbbcbcbcbccbbbcbcbbccbccccccbbcbbcbbcbccbbbcbcbbbcccbbcbbbcbbbcbbbbcbbccbcccccbcbccbbbbbccbcbbcbbccbbbbabbbbbbbcbbcccbbbcbbbccbbbbbbbbcbccccbbbbbcbbcccbbcbbbbbcbcacbbcbbcbbccbccccbcbbbbbbbcbcbcbbccbbbcbbbbaccbbbcbbbcbbbbbbccbccbcaabccbbbbcabbbbcbcbcbabcbcbbcbbcbbcbbacbbbabcbbccbcccbcbbcccbbcbbbbbbbcbcbabcbcbcbcbbccccbbbbbbbbbbcbbbcbbbccbbcbbbbbbbbbccbbcbbbcbbbbbbbccbcabbcbcccbbccbccbccbbcbbbcbbccbbbcbbcbbccccbbcbbabbbaccbbbbbbbbcbbbcacbbcbbcbbccccccbcbccbbbcbcbbcbccccbbbcbbbccbbcbcccbcbbcccbbcccbcbccbbbbbbbbcbbbccbcbbbccbbbbcbbcbbbaacbbcbbbbabbcabcbbbbbcbbbbbcbbcbcbbbabccbcbbbbbbbcbcbbbacbbbbacbbbbbbbbccbccbbbbcbbbbcccbcbbbbcccbbbccbbbcbbbcbcbbcbcbcacbccbbbbbbbbbcbbbbbbbbccbcbcbbbcbcccbabcbbbcbbcbbbcacbcabbcbbcbccbbcbabcbabbbacbbccbbbccbbbcccbbbbbbbcbbbbbbbcbbcbbbcbbbbcbcbacabbbcbabcbbbbcbcccbcbbcccacbcbbbbcbbbcbacccbbabbbbaccbbbbbabccccbbbcbcbcbbccbbabbbcbcbcccbbbcbbbccccaccbbcbbbbbbbcbcbcbbcbbcbbbbccbbbbbbbcccbbbccbbbbcbbbcbbbabcbbbbbbbcbbbcbbbbcbbbbbbccccbbcbbbbbbcbbbcbbbbcbccbbcbbbbbccbbbcbbcbbbbbbcbcbbcbbbcbccccbbbbcbbcbbcbccbcbcbbbccccbababcbcbcbbbbcbbcbccbcccbbcbbbbacbbccbcbcbbccbbbbccbcbcbbbbcbccbcbbcbbbbbbbccbcccbcabbcbbbbbbcbbbabbcccccbcbbbabbccbbbbcbbbbccccaaccbbbccbbcbbabbbbbcbbbbbbcbbbcbbbcbbbbbbbbbbbbbcbccbcbcbcbbabbcbbbbacccbccccbbcabbcbbbbacbbbbcbbbccbbcbcccbbbccbbbbbbbbccbbccbbabccbbcbcbcbcbcbcbbbccbbbccccbbbbbbbbbbcbbbccbbbcbbcbccccabbbbcbcccbbccbbbcbbbcabbbbbcbbbbcbcbbabccccbbbbbbbbbcbbcbbbcccbcccbcbbbbbaabbbbbcbbabcbabbccbbbbbcccbcbbbbbbabbbcbcbccbccbbcbbbbbbbbbccbbbcbbcbccbccbbcbcabacbcbbcbbcbbcbbbcbabcbcbbbabcbccbbbbbbbbbcbbcbcbbbbcbcbbbbbbccbbbcbbcbcccccbcbbbccbccccbbbbabbbcbbbcccbcbcbbbbbbcbccbabbbbbcbbbabbccbbcccbbbbbbcbbcccbbbcccbbbcccabbbbbcbbcbcbbaaccbabcbcacbbccbbbcccbbcbbbabccbbbccbbbbbbcbbcbbbbbbbbbbcbcbbbcbbbbbbbbcbabbcbcbbcaccbcbcbbbbbcbcabcbcbabbbaccbbcbbbccccbbbcbcabccbccbccbbcbbcbbacccbcbbbbbccabbcbacbccbbbccccbcbbbbbbbbcbbbcbbbbbbbcbbccbabbacbcbbcbbbbbbbbcacccbcbcbbcbcccbabbcbbbbcbbccbbbcabbbbbbcacccbbbbcbbbbabbbccccbbcccccccbbbbcbbbbcbcabbccbbcbccbbabcacbbbbcbbbccabcbbbcbbbbbccbbccbcbbbbabbbbbccbbbcccbbbbcabbacabbcbbccbbbccbbcbbbbbccbcacbbbbabbcbbbbbcbcbabcbcbbbacabbccbbaccbbbbcbcbcbbcbbbccbcbbbbcbbccbbbcbccccbbbbccbbbcabbbbbbcbccbbbbbbcbbbcbbbbbbcbaccbabbcbbcbbccbbcbbbbcbbbbaccccbbbcbcccbbcbcbcbbbbcbbbacbcabbbbbbbbbcbcbbccbcbbbbcccbbccbbbbbbcbbbcabbbbbccbbcbcbcbbbbcbcbbbbcbcbbbcbbcbcbbccbbbbbcccbbbbcbccbbbabbcbacbbbbbbbcbbcbcbbcbcbbbbcbbcbbbbbbbbbcccbbbbbbcbcbbbbbbcbbbcbcccbbbcbbbcbcbbbcbacbbcbcbcbcccbbaacbbbbbbcbcbbccccbbcbbccccbbcbbcbbbbcbbcbbcbcbbcbbbbccbcbbcccbbcabbbbcbabcbcccacccccbabccbbbbcccbcbcbcbbbccbccbbcbcabbbcbbbbcbbbbbbcbbcbbcbbbcacccbbbcbbcbcbcbbacbbbaccccccbbccacbcbbbcacbcbcccbcbbbcbbccccbbcbcbcbbbccbccbcbbabcbbbcbbbbbbbbbbabbabbcbbacbccbbbbcbbbcbbcbacbbbbbbbbbbcbbbcacccbcccbcbbbbcbccbbcbbcbbabccbbbbbcbbbbcbbcbbcbbbcccbbbcbbcbbbcbbbbbbccbbbbbbcbccbacbcbccbbcccabcccbbcbbabbcccbbbcbcbcbbbbbcbbbbccbbcbbcbcbbbbbccacaccbbccbbcbbbccbbbcbbbbcbcbcccccbccbbbcbcccbbbccbccbbcbcbbcbccbcbbbbbbbcbbbbccbcbbbbbbcbbbbcccbbabbcbcbcacbbbbbcbccbbbbbcbbbbcabcbbbbcbbbbcbbcbbbabcbbccbbbbbccccbbbaaccbbccbcbbbccbbbbbbbbbbbbbbbaabccbbbcbbbbbbcbbcbcbbbbccbbcbccacbbbbbbcbbbbbbbacbcbbbcbcbbbcbcbbccbbbcbbbcbacccbbccbcbbbcbbbbcbbbbccbcabbbbbbacbbbbbbcbccbcbbccbcbbbbbbcbccccbbbcbbcbbbcbcbbbcbcbbbccccbcbbbbbccbcbcbbccbbcbbababbbbbbbbcbcccbcbbcbbcacbbbcccccbcbcbcbabcccbbbcbbcbabbccbbbbcbcbacbcbbbcbcbbcbbccbcbbcbcbccccbbcbbcbcbbbbbcabbccbbcbcccbbccabbbbbcbccbbbccbbacbccbcbbbbbbbbbbccccbabbccbbbbbbbbbbcbbabcbbabcbcbbccbcbbcbcbcbccbbcbbcbcbbbbccbcbcbbbcbbccccbbbbbcbbbbcccbbabbbbccbcbcbbbbbbbccbcbbbcccbccbbcbbbcbcbccbbbccbccbbcbbbbbbbbbcbbbbbbcbbcbbcbbcbbaccbccbbbcbcbacccbbccbccbbcbbbbccccbbbcbccbcbbbabbbbbcbbcbaccbbbccbbcbbbbcbbcabcbcbbcbcccbcccbbbbccbbbbbcbcccbacbbcbcbbbcbbbabcbbbbbcbcbcbbbccbbbbbbbbbcbbbbbbbbbbbccbccbbbcbbbcbbcbcbbbcbbccbcbcbbbbbbbbbcbbcccbcbbccbbbbcccbbbcbbbcbccbcbccccbbabbbbbccbbbccbcbbbccbcabbcbcbbcbbbcbabbcbcabbbbcabbbbbbcbcccccbbcbbbbcbcbbbcbccccbbcbbcccbbbbbbcccbbcbbcbcabccccbcccbbbcbbcbbbacbccccbcbcbcbbbbbbcbacaaccbbabbbbcbbccccbccacbbbbcbbbbbbbbacbbbbbabbabbbbbbbbbcbcbcbbcccbcbbbbbcccbbbcbcccccbbbbbcbbcbbbcbbbbcbbcbcbbcbbbbbcccbbbbcccbaabbcbbcbbcbccccbccbaabbbcbcccbbbbbcbcbbbbbbbbbbcbbbbbabbbbbbbccbbabccbcbccaabcbaccbccbbccbccbbbcbbbcbcbbbcbbcbbbbbbbcbbbcbbcbcbbbccbcbbbbbbbbbbbbbbbbcbbbcccbbbcbcbacacbbbbbccbbcbbbbbbcbabbbbcccbbbbcbbbbbbcbabbbbcccbcbbccbccbbcbbbcbbbcbbcbbbcbbbbbcbbbbbcbcbcbbccccbcbcbcbbbbcbbcbcccbbbcbbbbcbbcbcbbcbccbcbbbbabbbbbcbbbbbbbbccbbbbbcbbbcbbbbabbabbcacccbbcbbcbcbabbcbbbcbccbbbbcacbcbbbbbbcccbbcbcbcbbcbbbbbbbccbcbbcbcbcbcbccbbbccccbbcbcbbbcbbbbbcbbccbcbbbbcbbbbccbbcbbcbbbbbccabbbbcbbbcbbccbbbcbcbcbbbcbbbbbcccbbabbbacbbccccccbbccbbcbcbbcbcbbbcbbccbbbcabbccbccbbbcbbcbcccbccbbccbbcabbbcbbcbcbccbbbbbcbbcccbcbcbcbbabbbcbbcbbbbbbbbcbbabbcccbbbbcbbbbbbbbbbbcbbbbcbbbcccbbccbbabbbbbcbbbcccbccbabbccbbbcbccbbbbbcbbbcbbabbcabbbbbbcbccccbcbbbbcccaccccbbcbcabbbbbcbbbbbbbccbccccbbcbbcbcbbbcbbbbbbbbbcccbcabccbcbbbbbbbccbbccbbbbbbbbbbbbbcccbcbcbcbcbbcbcbcbbbbcbbbbbcbcacbbbcbbcbcbbcbaabbcbcbcbbcbabcccbcbbbcbbbbbcbcbcccbbbccacccbcabcbccbccbbbcbcbbbbbbcbcbbcbbbbcccbcbbcbbacbbbbbbbbbbccbcbbbbbbcacabbcbbbbbbbcbbbbcbbababbbccabbbbbbccbcbabbcccbabbbbbbcacbcbbcbabcbbcbbcbcbbbbbccbcccbbbcbccbbabbbbbbbbbbbccbcccbcbbccbaabacbbcbcababcccccbbbbbbbababbcbcbbbbcccbbbbbbcbcbbbbccbbbbcbcbccbcbbcbabbcbcbbccbabbcbcbbbbbcbbbccbbcbacbcbcbbbbcbbbcccbbbbbcbbbcbacccbbbcccccbbbbbcacbcabcbbcbcbbcbbbbcbbbcbbbbcbbbbabbccbbccbbcbabcbbcbbbbabcccbbccbbbccbacabbbbbbbccbbcbbccbbbbbbbbbcbbccbbbcccabcbbcbbbbcbccabccabbcbbccbbbcbabbcbcbbcbbbbcbbcbcbbbbbcabcccbcacbcbbbabbcaccbccbbcbcbbbabbcbbabbbcbbbbcbcaaabcbcbbaccbbabbbbbbbbbbbcbcbbbcbbbbbbcbcabcbcbcbcccbcccbcbacbbbbccbcbbbbbbbacbbbbcbbbbbbcbbbbbcbcbbbcbcbbbbabcbbbbbccbccbbcbbcbcacbcbcbcbbbbccbbccbcbbcbbbbbbcbccbcbbcbbcbbccccbbccbcbbbcbccccbbbbbbccbcbcbabaccbbcbbbbbbbbccbcaccbcbbbabcabbbcbbbbccbccbccbbbbbcbccbcbbcccbbbbbbbbbbcbbbbcabcbbbaccccccbbbcbbbcbbbbbbbcbbbcbbbccbbbbbbccbbbcbbbccbcccccbcabbcbcbbbbbcbbbcbbcbbcbbcbbbbcccbcbcbbbcbbbccbccbbccbbbacbbcbbbccccbbcbccbcbbcbbbbbbcbbbcbcbccbcccbcbbcbacbcbbcbbbbbbbcbbcccbbccbbbcbbcbbbccbbbcccbacbbbacccababbccccbbccbbcbbbbcaabcbbcbccbaccbbbbbbbccbbbcbcbbcbbcbbabbcbbcaccbbbbbbbbcbcccbaccbbccbbbbcbcbbccccbabccabbbbbbccacccbbbbbabbbccccbbbbbcacbacbbbcaccbccbbcccbccbcaccccbbbbbccbbbbbcbcbbbbbbbcbbcbbabbcbbccbaccbbbbcbbbbbccbcccbbccbbbcbcccbbbabccbbbbbbbccbcccbbcbccbbbbbbbccccbbccaabcbcbbbbbacbbbccbcbbbbbccbcbbbacabcbbccbcbcbcbbcbcbcbcbcbaabbbcbacbbcbbbbaccbcbbbbabbccbbccbbbbbcccbcbaabbbcbbcbabcbbcbbccbcabccbcbbbbbbbbcbccbbbbcbbbccbbcbccbcbbbcbcbcbabcccbbcccbbbbcbbbcabcbbbbcacccbbbbbcbbbccbcbabbbcbbbbbbbbbbbbbbbbbbbbbbbbcaccccccbbccbbbbbccbbcbccbccbbbbbbcbbbccbcbabbccccbbcccbcbbcbccccbcbcbbcbcbbbcbcbcbbaccbbbccbbcbbccbccbbbcbcbbbbbcbbbbbbacbcbbbbbcccbccabbabbbbbbbcbcbbbbcbcbbbbcbbbbbcbabcbccbbbbbbbccbbbcbbbbabbbcbbcbbbbbbbbbbccccbcbbbbccabbcbbcbbccbbcbccbabcbcbbbbbbcabbabbbcccacbbcbbabaccabbbacccbccbcbbbbbcbbcbcbbcbbbcbbccbaacbccbbbbbbbbcbccbbbbabbcbbbcbbbbcbbbbbbcbbcbcccbcbbbbcbbbccabbbbcbbcabbbbbbbabccbcbbccbccbbbbcccbbcccbcbbbcbbbccbbcbbccbcbbbcbbcbcbbbbbcbbbbbbcccbcbcbbbbbbccbbcbbcbcbbbbcbccbbbbccbcbbbbbcbbcccbcbbbcbcbbbbabbccbabcccbbbabbcbbbcbcabcbbcbabcbcbbbbbbbccbccbbcbbbbbcabbcbbbbcbbbcbcbbcbbbbcaacbccbabbbcbbbbbbcccbaccbbccbccbbbbbccbbbcbbccbcbbbabbcbccbbbbbccbcbbbbccbaabbbbbbbbbcabbcbccbbbbcabbbcbbbcbbcbbccbbbcbbbccbbccbbbcbbbcbbbcacbaccbbcbcccccbbbccbcbcbccbccbccccbcbbcbbbcbcbbbbcbbcbbbbcabbccccbbbbbbcbcbbbccbbbbbbbbcbacbbccbbccccbbbcbbcccbbbcccbbccbbccbbccbcbbbbbbbbccbbcccbccbbcbccbccbccbcbbcbbbbbaccbbcbbbcbcbcbcabbccbcbbbbbabbcbbcbbccccabbbabcbbcccbbccbccccbbbbbcbcccacbbbbbbbbbcbabbbcccbccbbcbcbabbcbabccbbbabbbbbbbbbbcbbbbcacbcbccbbcbbbcbccbbabbcbbcabcccbcbbbcbcbcbbbccbbbbcbcbbcbcbbbcbbbccbbcbbcbbcbccccbbcbccccbcbbbbbbbbbbcbbbccbcbbcbcbbbcbbbcbbbbbbbbbccbbbbccccbbcccbbbbbcccbcccbbbbabbcbcbbcbbccbbbbbccbcbbccbbbcbbccbccbcbcbbbbbbbccbbccbbbcbcbbbcbbbcbbbbcbaccbbbccbcbaccbbbbcbbcbcbbcbbccccabcbcccccbbbabbcbbcbcbcbccbbabacbbbbbccbcbcbcccccbaccbcbcbbbbbbbcccbccccbcbbbccbbabccbbbbbcccbbbbbacccabacbbacaacbbbbbbbbbcabbbbbbbbbcacbcbbacbccaccbbbcbcccbbcbcbcccbbccbcbbbbbbbbbbbbccbbcbbaccabcabcbcccbcabbcccbbbbbcbbbccbbbbacbbbcccbbbcbcbbcbbbbccaccccccbbbbbcbbbbcbbcbbbbbccbcccbcbbbacbccbcbbccbccbcbbbbbcbbbcbbcccbbccbbbacbbcbbbbccbbcbcccbbbcbbccbabccbbcbbbbccacbbcbbacbcbacbbbcbcbcabcbbbbbabcccccccbbbbccbbbcbcbbcbcbbbbcbbbbbcbccbccbcbbbbbcccabbbbbcbbbccbabcbbcbcbcccbcccbbbbbbccbbbcbbcbbcbcbcbccbbbbcbbbbbcabbbcbbbbbbbcbcccbbcbcbcbbabcabbbbcbbcbcbbbbccbcbbbbbcbcbcbbabbcbcbbbbbbcbcbbbcbbbbcabcbbcbbcbcbbbcbbbcbcbcccbcbabccbbbccbbcbccbbbbacbbcbbcbbbbccbbccbbcbbbcccbcbbccbabbbbbbcbcbbcbbbbbccbcbacccbccbcabbbcbcbbbabbccbabbabbbbbccccccbbbbbbbbabcbbcbcccccbbbcbbccbcbbbbbbbbcbbbbbcbccbccbbbbbbcaccbcbcbbccccaccacbabcbccbcccbbbbbbbcbbbbbabccbcccbbbcbcbbbbbbbbbcbbbcccbcbbbccbbbbcbbabbbbbbcbcbccbbbbcbccbcbabcbbbcbbbcbbbbbbccbcbbccccbcbbbbbbcbbccaabbbcbcbbbbbbcbbbacbcbbbbbcbccbcbbcbbccbbcbbbbbbbbbcbbbcaabbbbcbcbcbbabbbbbcbbcbbbbcacbcbbbcbbcccbcbbcbabcbbbcbcbbbbbbccbcbcbbcbbbbbcbbbbbbbcbbbbbbbbccbcbbbbbbccbbcbbabccccccbbcbbbbbbbbbcbbcbbcbbbbbbcbcbbbcbbcbbbbcabbccbccabcbccbcbcbcbbccbbcbabccbbbbbbbbccabbbcccbccbbccacccccbcbbbbcbcbbccbcbbcbbcbcbbbbbbccccbcbbcbbbccbccbbbaccbcbbbbcbcbcbcbbacbbbbccbaccbabcccccbbcbccabbcbbccbccbccbbbbbbbbbbbccbcbccccbbbbccbbbbcbbbbbbcbbbcbbcbabbbbbbbcccbbccbbbbbcbcbbbcacbcbccbbbbbbcbcbcbbbbcbbccbbbbcbcacbbcbbcccbcbccbbbbcbbcbbcccbabbbcbbbcbbbbccbbcacbcbbbcbbcbbbbcbbcbccbbbbbcbcccbbcbcbbbbcacbcbbbcbbbbbbbbbbcbccbcccbccbbbbbbbccbbbbbbbbbbccbbbbbcbbbcbbbbbbbbabbbbbccbbbcccbcbbbcabcbcbbbcbccbbbbbbcbbcbcbcbbbbabcbbccbcbcbbbcbbbbccbabbbcbbbbbbbbbbbbbbbccccbbccbbbbbacabbbbbbcbbbcbbcbbbbbbbccbbbcbbbcbbcbbabcbccbbbccbbbbcbcccbcbcbcbbbbbbbbbbbbbbaabcbbccbbbbcbcbccbabbccccbbbcccbcbbcacbccbcbbbccbcbbbbbccbccbcbbccbcbbcbbcacbbbcbbbbcbbbbbbcbbccbbbcbbbcbccccbbbcbbbbccbbbbbbbbbcbbcbcccbbccbccbcbbbbcbbcbbcccbbcbbcbabccbbbbbbbcccbbbbbbbbbcbbbbbbcbccbcbbbbaccccbcbbccbbcccbbbbbbbbbcbcbbbbcbbbcbbbbbcbbbbccccbbabcbbbccabcbccbcccbbbbbbbccacbbbbababbaabcbcbbbbccbbbcbbbbbbcbcbccccbbbbbbbabcbbbbbbbccbbcccbcbbcbbccbbcbbbccccabbbbbcccbbbbbcbcbbcbcabccbcbbbcbbbcbbcbcbcbcbcbbccbbcbcbccbbbbbbacbbbbccbbbcacbcbbccbbccbbbcbbbcccccbcbbbbbbbbcbcccbbcbabbcccbbbcbcccbbbbcbcbbccbbccbbbbbbbcbccbccbbbccccbbbbcbbabbacccbacbbbbcccbbbcbbbcbbcbbbcbbbccbbcbcccbbbacaccbbcbbbbbbcbcacbbbcacbbcbcbccbabbbbbcbbbbccbbbbbbbbbbabcbbacbbcbbbbbccbcbcccbcbbbcbcbbccbcbbbbbabcccbbabccbccbbabbbcbccbbbacbcbcbbbccaacccbcbbbcbbcbcbbbbcbbbcbccbcbbbbbbbcbbcccbccbbcbbccbcbcbbbbcbbbcbccbccccccbccbcbbbbbccbcccbccbbbbcbbbccbbccbbcbbbbcbbaccbaccbcbccccbacbbbcbbccbccbbbbbbbcbbcbbbbcbabcbcbccbccbbcbccccbccccabbbbcbcccbbcabbbbcbcbbcbbbbcbccbbcbbbcbbabbcbccbbccbbbbccbabcbccccbcbcacbbccbccbbbccbbabbcbbbbcbbabbbbbbbbbcbbbcbbbbbbcccbbccabbbcbbcbbbbcbbcbbbbabbcccbcbabbbabbbabcccbbbbcabbbbbbabbbbccbbbbcccccccbbbccbaabbbcbbccbbbcbbbbcbbbbccbbbbbcbcccbbcbbcbbbbcccbbcbbbccbbbbbcbbcccccbcbbccbccbcbbcbbbccbbbccbbcccbbbbccbcbbbbbccccbbcacbabcbcbccbcbbbbbbbbcbbbcbbbbbcbbbbcbbbcbbbcbbbbbbccbbbcbbcbbccbbbbbbbcbbbcaccbcbbbbabcbbcbcbbbcabbbbcbcbbabcbccccbcbcbbcbbbcbbbbbbbbbbbcbbbcbbbbbbcbbccbabbbcccbbcbbbcbbbcccbbbbbbbbccbbbbbbcbbccbbbcbbbbcbccbcccbbbbacacbbbcbbacbbbbccbccbbbbbacbcbbcbcccbcbbbbcccbbbbccbbcccbcbbccbcccbcbbbbbbabcbbbbcbccbbcbbbccbbbccbbbbcbbbbccbcbccbcbcbbcccccabbbbabbbcbbcbbcbbbcbbccccbbbbaccccbbbbbcccbcbcbbbcbbbaccacbbcbcbaccaabbcbbbcbbbbbcccabbcbcbcacbccbbabbbccbbabbbbcbccccbbbabbbcbcaccbbcbbbabcbabbbbbccbbbccbbcbabcbcccbbbbcbbcbbcccabcabbbccbbbbbcbccbbccbccbabccccccbccbbccbbbbbccaabbcccbbbbbbccbbbbbccbcbcbcbbbbbbccbbbcbbbcccbbcbbccbcbccccbbcccbbbcbbcbbcbbbbbabbbbacbbbbbbccbcbcbacbcbbbbbbbbccbbbbbcbbbcbacabccbbcbbbccccbbcacccbbbbbbccbbccccbccbbbbbccabbccbbbbbccaccbbcbbcbbcbccbbccbbbbacbcabbbbbcccbbabcbcccbbbbbbacbbccbcccccbbbbccbbbcbbcbcccbbbbbcbbccabcbbbbbcacbbbbcbbbcccbbbcbbbcbcccbbbcabbbcbbbcbbbbbbbbbcccbbbbaccbbbbbbababcbbcbcbbbbcbcbcccbccbcbccbbbbbcbabbbaccbbbbbbbcbbbccccbcbbbbbbbbcccbccbbcbcbbbbbbbbbbcccbcbbbbbbbbcbbbccbbcbbcabbbbcbbbbbbbcbabbcbbccbbbcbacccbbbacbaabcbbbacbcbbbccbccbcbcbbcbbcbcbcbbbbcbbacbcbcbbbbbbbbcbcbbbbbbbbbbccbbccbbcbbcbbcbbbbbccbcccbcbbbccbcbcbbbbcbcbabaccccbbcbcbcbbbbccbbbbbbacccabbccbcbcbbbbbcbbbbbaccbabcbbbcbccbcbbccbbbbbbbbbbbcbbbbbbbbcbcbbbbcbcbbcbbbccbbbcbbbbcbbcbbbcbbbccbcabcabcbbabbbbbcbcbbabbbbbbcbbbbcbcbcbbbbbbbccbbbbbcbcbbccbbbbccbbbbbbbbcbbbccbbccacbccccbbbcbccbccbabcbcbcbbbbccbbbccccbbbbbbabbbbcbbccbbacbbbccbbbbbbcbcbbbbccbcbccbbbacacbbbbbbcbbbccabcbbbbbccabbbcbbbbbbbbbacbccbbcbccccbbcbcbbbbccbccbbbbbcbcbcbccbabbbbbbccbbbbcbccbbcbbcbbbbbcbccbbbbbcbbbbcbbcbbcbccabcbcbbcccbbbcabbbcbccbbbcbbbbbbbbbcbacbabcbbccbccbbbbccbcbbbcbbabbbacbbbbbbccccbccccbabbabccbbbbccbcbbbccbbbbbbcbcbbabbbbbcbcbbbbbccabbbbbcbbbcbabbbcbbccbbbcbcbacbbbcbccbbbbccbbbbbcbbbcbcccbcccbccbbbcbbccbccbbbcccbbcbbcbbcbabbbabbbbbccbabbcbcbbbcbbbcbbccbbcbccbbcbbbbbccccbcbabcbbbbbabbbbabbbcbcccccbcbbcabccbbcbbbbbbbcbcbccbbbbbbcbbbcbbcbcbcbacbbbbcbbbbbcbbbcbccbbbbccbbcbcbbcbcbccbcccbcbcbcbcabcbbcbbcbbbbbbccbcbbbacbbcccbbbbccbbbccbbcbacbbbbbbbbccbbcbcbccbbbcbbbcbbbbbbbbcbacbbcccbbbcbbbccbbbbcccbbccbbcbccbbbbacbbbbbbbcbbbbccbbcbbaccbbbbcbbbbbbbbcbabbcccbbbcbbbbbbcbbcabcbbbcbcccccbbbcbbbcaccccbbccabbcbcbabcbccccbbbccbbcbcbbbbbbbcbbcbcbacbcbbbbccbccbbbbacbcbbbbbbbbbcbbcbcccabbbbbbcbccbbacbabbbbbbccbcbbbbcbbbbcbbbccbbccbcbbbbbbbabbbbbbbbcbbbbccbbccbccccabbcabcabbbbbcbbccbbabbbbccbabbbbbcbbbbbbbbbbbbcbcbbbcbbbbbbbcabbbbbcccbbcbabbbcbbbcccbbbbbbcbcbbbbcbcbccbcccbbbbbbbbbbbcbcbaccbcbccbbbbbcbcbbbcbcbbbbccbbccbbbbbbcbccbcbbcbcbabbbbcccbabcbbbcccbcbbcbbcbbcbcbbbbccbbcbbccbbccaccbcbcccbabcabbbbcbccbcbabbbbbaccbbbbbccccbccbcbccbbbbbcbccccbbcbbbbbcbbbbbcbbbbcbabbbcccabbbcbbbcbbbbccbbbcbbbbbbcbbcccbacccbbccbcccbbbbbbcbbbcbcccbbccbbbcbbbbbbcbcbcbcbcbbabbbbcabccbbcbbbbbcbcbaccbcbbbbbbbbbccbbbbbbccbbcbccbbbbbcbbbbbcbbcccbbbbcbcbbbbbbcabbcbbbcbcbbbbbcbbbbacbbcbbbccccbcbbbbbbbbbbbbbcbbccbbbccbccbbbbccccbbbbbccbccbbbcbbccccbbcbccccbccabcbbbcbcacccbcbbccbcbcbabbbccbcbbcbccbcbccbbccbbcbcbbcbcbcbbbcacccacbbbbbbcbcbcbcbbcbbcbcbbabbbbcbbcbbbcbbcbbbbcbabcbbbbbcbbccbbbcbbbccacbcbbbbbbcbbbbcbbbbbcbbbbbbbbbbbbbbbcbabbbcbccbbbbbcbcbbbbbbbbbbcbbbcccbcbbbbbbbcccbccbbbcbbbbbcbbbabcbcbbacbcbcccbbbabbbbcbcccccbcbcbcccbbcccbbbbcbbbbcbbbbbacbcbbcbcacbbbcbbbbcbbbcbbcbbbcabbbbbccbccbbbccbcccccbccacbcbcbcbcbbcbbbacbbbcbccbbcbcbcbbbbccbbbcababbcbbbbbaabbbbccbbbcbbbbcbbccacacbbcbcbbcbabbbbcbbbbcbbbccbcbbbbbbbbbccbcccccbcbbcbccbcbbbbcbcbcbcbbbbbbbbbcbbbbbccbbcbbbccbccbbcbbbbbbcabbcbccbbbbbcbbbbcccbbcbbcaccccccbbbbbccbbbcabcbbcbbccbabbccbbbbbcbcbabcccbbcbccbcabccbbcbbacbbcccbcbcbbcbbcbcbbccbbbbbcccbbbbbabbcbcbbccbbbbbbbbbccbbbbbbabbbbccccbbbbbcbcbccbccbccbbcbbbbbbbaccccbbbabbbbbcbabcbcbbccbbcbbbcbbbbbbbbcbcbcbbccccbbbbbcccbbbcbbbcbcbbcbbbcbbccbbcbcbbbbabbbbcbcccaabbbbcbbbbcbbbbbabbccbbbccccbccbabbbbbbcacccbbbbbbbaabaccbccbccccbcbbcabbcccccbabcbbabbbcbbcccbbcbccbbbbbbcbccbbbbcbccbbcbcbcbbbcbbccbcbabbbcbcbbcccbccbbbcbbbccccbbbbbcbbcccbcbbbabbcbcabbbcbbccacbccbbccbbbcbbbccbcbbbcbbbcbccbcbbbbcbcbbbbccbcbbbcbbcbcbbbccbbbbbbbbcbbabbbbbcbbcbcbcbbbbbcbcacbbccbbcccccbcbbbbbccccbbcccccccbbbbcabbbbbbbabbbcbbbbcbbcacbbbcbbbccbbbabbbbcbbbccbbccccbbcbbcbccbbbbacbbbbccbcbbbcbbcbcbbcbbbcbbbbbccbbabbbbbbccbbbccbbbcbbbbcbbbcccbbcccbabcccbbbaccbccbbbacbcccbbbbbababccbcbbcbcbcbcbcabbbbbbbbbbacbcbbcccccbbbbbbbbcbcbbcbcbcbbcbbbbbcbbbbbccaaacbcbcbbbbccbbbbcbbbcbbbccbcbbbbbbcbbbbcabbbcbbcccbbbbbbbcccbcbbcccbccbbcbbbbcccbbbccbbbbbbbcbbcbbbcbbbcbbbbbbcbcbbcccbbcbbccbccbccbbbbccbbcbbccbbbbcbccbcbbccbbbccbcbbbbbcbbbbbcbbbbbccbbacbccbcbcbbbbbcbbabcccccbbbcbbbbbbcccbbccbcabbacbcbbbcbbcbbccccbbbcccbbbbbbccbccbcbcbccbbbbbbcbbbbcbbbbbcbbccbbbbbbccbccbcbbbcbbcbbbbbbccbbcbccbbbbbbccbbacbbbbbbabbbbbbcbcbbbcbbbcbccbbbbcbabbbbcbbbcbccbcbcccbbbcbbbccbbcabbbbbbcccbcccccbcabbbabbabbccbbbbbcbbbccbabbcbbbbbccbbbcbcbcccbbcbbbbccbbcbbcbbbcbbbcbbbbbbbbbcbbcbcbbcccbbbbbbccbabbbbcccbbabcbbccbbbcbcbbbbcbbccaacbccbccbbcbccccbccbbbbbbbbccbcbcbbbcbcbbcbbbbbcaabbbcbbbcbccbbccbcbbcbbbcccbcccbbbbbbbcccbcbbbbbbbbbbbbbbbbbbcbccbbcbbbbbbccbbbbbbbcccccbbcbbbbbbbcbbcbbccbbbabbccbbbcbbbbbbabbbbbabcbbcbcbccbbcccbbbbcbcbccbbccbcbbcccccbcbbcbbcccccccbbbbcbbbcbcbcbbccbbbbbcbccbcccccbbcccbccbcbcccbcbbccccccccbcbccabbbcbbbbbccabcbccbccccbbbcbcbcbbbccbabbbbbbcbbbcbccbccbccbcbcabccbcbccbcbbbbcccccbbcbccbbbcbcbcbcbcbbcbbbccbbcbbbbbcbcbcccbcbcbbbcbbbbcbccbbccbbbcbcbcbbbbcbcbbcbbcbccbbbbcbbbcccbccabccbcbbbbccbcccccbccbcbbbbbcbcccbccbbbbbccbcccbbbbbbbbcccbbabcbbcbcbcbbbcabacbccbccbbcbbccbccbaacccbbbbccbbbbcbccbcbbcccbcbbbbcbbbbbcbbbbbbbcbbcbbbbccccbbbccccbbbbccbbbcbbcbbbbbbcbbcbcbbbbbbbbcbbbccbccbbcbbcbcbcbbcbacbccbcbbcccbcbbbcbccbbbbcccbbcbbbcccbcbccccbbcbcbcccbbbbbbbccbbcbcbbbaccbbaccbbbbcbcbccbbcbbbccbbccccabbcbbabbbcbbbbccbbbabbbbcbabcbcbacbbbbbbcbbbbbcbbbbbbbbbccbbcccbbbbbcbccccccbbcccccbccbbbbbbbabbcbcbbbbbbbcbccbccbbbcbbbcbbcbbcabbbbbbbcbbbbbbccbbbbbbcbccbcbbbbbbccbbcbbbbbbccbcbcbbbcbcbbccccbccbcbbbbcbcbbbcbbbccccbbbccbcbbccbcbbbbbccbbccbbbbbbcccbbbccbcbbccccbccbcbcbbbcbbcbcbbbbcbbcbcbcbcccccbcbbbcbbbbbbbbabbcbacbbbcccbbbcccbbbbbbbbbccbccbccbcbbbbbcbbcbbbcbbbbbbbbbbbbbbcbaccbbcbbbcbbccbbcbbbbbcbbbbbbbbcbcbbbbbababcbbcbbccbbcbccbbbcbbbbcbabccbbcbccabbccabbbbcbbbcabcbcbbccbbbbbbcaacbbbbbbbcbbbcacbbbccbccccbbbbbbbbabbcabbcabbbbabbbcbbbbccbccbccbbbbbcbcbcbbbcabbabbbbbbbbcbbccbbcbbcbcbbbccbccbabbcccbbbbbbcbcbcbbcbbbbbbbbcbbbbbacbccbcccbbbbcbbbcbcccccabbcbbbccbbccacbcbcbcbcbbbbcbccabccbbbbbbcbbcbcccbbbbbbbbcbbbbbccbccccbbcccbcabbbbccbbccbbbabbbccbbbbbcbbbbbcbcbcbbbccbbcbbbbccbbbbccccbcbcbbbccbbbccbbbbbbbbbbbbbcbccbbbcbbcabbbbbbbcccbbccbcccbbcbabbcbbbbbcbbbbabcbcbcbbbcbbbccbbcbcbbbcbcbbbbcbbbbbcbcbccbbbbbbbccbbbbbccccccbcbccabbbcbbcbbbbbbbcbbbbbcbbbabbccbbaccbbbbbcbbbbbcabcbbabcbbbccbcbcabbcbbccabbcbbbcabbbbbbccbbccccbcbbabbcbccbbcbcbcccbcabbbbbbbcbcbbccbbcbcbaabcbbccbcbccbabbcbbcbccbbbbbcbbccbcbbbbbbbbbabccccbcbbbccbbbbbbbcccbcbbabbaccbbbbbbcbbbcbccbbcbccabccbcbcbbcbbbbbbcbbccbbbcacbbbbcbbcbcbcbbbcbbcbcbbbbcbccacbbbbccbcccccbbcbcbbbbbbbcbbbbbbbbbcbbbbbbcbccbbbbbbccabbbcccabbbccbbccbbbcbbbbcbcbaccbbbcccbbcbbbccbcbbccbcbabbbbcccbbccbbcbcbbcbbbbcbbcbbcbbbccbbcbbcbccbbbcbbcbbbaaccbbbbbbcbcbbbbcbbcccbbccbccbbbbcbcbbbcbbbbcbbbaabbccccbccaccbbbacbbbbbcacacbcbbcaccbcbbacccbccccacbbbbccbbbbccbbbccbbbcbcbbbbcbccbbcbccbbbbbcccbbcbcbbbbcbccbbbbcbcbcbcbbccbbbbbccbbbccbbcbbbbaccbbbbccabcbbbccababccccbcbbbbbbbbbbbccbbcbcbbbbbbbbcbcccbcbbbcbabcbbbabccbbcccbcbbcbcbbbcbbcccccbcbbbcbbcbcbabcbbcccbbcbabbbccbcbcbbbcbbcbbbcbcbbbcccbbbccbababbcbbbccbcbccbccbbcbcbcbbbbcbcbbcbcbcbbbbbbcacbbbbbccbcbbbababcbbbbcbcbbabbbcbbbbcbbcccccbbbcbbcbbbbbbcbcbbbccbbcccbcbcbbcbbcbbbbbcbcbbbbcbcbbbbcbbbbcbbbccbcccbbcbbccbcbcbcbbcabbbbbbcccbbcbccccbccbbbcccbcabbaccccbbcccbcbacbbbcbbbbbbabbbcbcbcbabbcbbbbccbabbcccccbccccbcbacbbcbcbbbccaccbbbbbcbbbcbcbcbbbbcbbcbbccccbccbbbbbbcbbcbbbbbbcbbcbbbbbcbbcccccbacbbcbcbaabcbcbbccbbbbbcbccbbcbbbbbcbcbbbccabccbbbbbbbbbbcbcbccaccbccbbccbbccbcbbbbbcbcabbbacbbabcbbcabbbcbbbbccbbbcbccbbbbccbbbbbabcbccacbcbbbbccbcbbbbbbbcbccbbcccbcbbbcbbcbccbccabbcbcbbbbcbbbccbacbbccbbbbbcbcbbbbcccbbbbcbbbbccbcbbbccbbbbbbbbacbccbbcbbccbccbbbbcbbccabbbbbbbcacbbcbbbbcccbccbcbcccbbbbcbbbcccabbcbccbbbabcbcbcbbcccbbbcbbbccbbcbbcaabcccacbbbcbcbbbbbbbbbcbbbbbcbbbbbccbbabbbbbccbbabbcbbbbbcbabcbccbbbccbbabbbbbbbcbccbbcacbbbbcbcbcbbcbbcabccbbbccbbcbbcbbbbbcabbbcbcbcbbbcbbbccccccbcbbcbbbbbbbbbbcbcbcbbcbbbbbccbcbbcbbcbccbbabcabcccbbbbbbccbbcccabcccabccbbcbccbbbccbbcccbabcbcbbbbcbbbcbbbbbbccbbbbbbbbbbcccbcbcbbbbccbcbbabbbbbcccbcbcbbbbbcbbbbcbbbabcbbbbbcccbcccbccbccccccbbbccccbccbbbcbbccbcbabbbcccccccbccbacbbcbcbcbccbcbbcbbbbbbcbcbbccbbbbcbbbcacbcbbbcbbccbbcbcccbbbbbccbabbaabbcbbcbbcbbccccbcbbbacbbbbcbcbbbbbbbbaccbbcbbccbbbbbbbbcbcbbccabcbaacbbabbbccbbbbbbbbcbbbabbcbccbcbbcbcbbcbbbaccbbcbbbcbbbbbbbbccbbcbbcbabcbccbccbbbbbbcabcbabbcccbccccaccccbabccabbbbaccbbbbbbbccccbbbcbbbbbbcccbbbbbcbbbcbacccbbcbbbbbbbccbabcbccccbbbabbcbbcbbbbbbbbcbbcbcbbcbbcbbcbbbcbcbccccbbbbabbcccbccccbbbbbbbbbcbbcbbbcccbccbcabcbcbcccbbbcbbbbcbbbbbbabbacbabbcbbbbabcbbbbbcbbbbcbbcbbbbcbcbbccbccbbbcbbcbcbabbbbbcbcbbaaccbccbbbbbbbcbbcbccbbbbbccbcbbbbcbabbbbbbbcbbcbbbbcbccccbbcbcbbbbccccbbcbbabcbcccbbbbbbbbcbbbcbabbbbbbcccccbbcbbccbbcccbcbccbbbbbbbbcbcbbcccbcbbbbccbcbcccbbbcbcbbbcbbbbcbbcbcbbcccabbbbccbbccbcbbcabbbbbcbcbbbbbcabcccabbcbbbbacbccbbbbbabbbccbccbcbbccbcbbbcbcccbbbbcbcbacccbbcbbacbbbbcbbbbccbbbbbbbcbcbbbbbbcbbcccacbccbcbbccbbbbbcbbbbbcbbbbbcbbbbbbbbbbcbcbbbbbbbbbccbcbcbcbcbcbbbbbbbacbcbbbcbbbcbcbaccbcccbbabbbbccccabcbbcbcabbcbbcccccbacabcccbbbbbbcbbccbccbbacaccccbbcbcbbbbcccbbcbbccbbbbccbcbbcbcbbbbbbbcbccbbbcbcbbccbccbbbbbbabbbbabbbcbbbbbbbcbbbcbbbbbbbbcbcbcccbcbcccbccbbbbcccbcccbbcbbccbbbbbccbbcbccbbbcbbbcbbbbbbbbbbbbabbbcbbbcbcbcccbabcbccbcccbbbccbccccbcbbbbbcbbbcbbcbbcbbbcbcbbbcccbbcbcbbccccbcbcbbbbcbbbbbabbbcccacbbbcbcbcbbbccbbbbbbbbbbbbcbcbbcaabbcbabbcabbcbbbbcbbbbccbbbcbcbccbbccbcbbbcbbbbccbccbbccccbbacbbbcabbbbcccbccbcbbcbcbbbbbbbccbcbbbcbbbbbbbcbcbbbbcbbcbcbccabbccbcbbbbbcbcbcbbbbbbcbcbcbcbcbbbcbbbbbbbbbbcccbcbccccbbcbbbbbcbcbbcbccbcbcbbbcbcbabbccbcbcbabcbcbbbbacbbbabbbbcccbbcbbccabcbbbbcccbbcbcbbcbbbbbbbbbbcbbbbccbcbbbcabbbbcbbbbcbcbbbbbbbbbbccacbcbcbbbbbbbcbbcabbacbbbcbbbbbbbcbcbcbbbcccbbcbbcbccbabbcacbcbccbcbbbbcbbbbabbcbcbccccbacbcbbbbbbcbbcabbbbbcbbcbabbcbbbbbccbbcbcbbbcabccbababbbbbbabbbbcbccbbcbbbbbbcccbbcbbcbbcbcbbccbcbbabccccbcccbbbbbbcabbcbbbcccbcccbcbcbcbbcccbbabbcccbcbbbbbbbccbbbccbbbacbbbbbbabbbcbbcccbbbbabbbbacbbbbbbbabccbccbbcabbbabbbbcbabcbcccbbbcbbcccbbcbcacbccbcbbcbbbcbbcbbccccbbbbbcbcbcbabcccbbabbbcbbbbcccbbbbbbbcccbbbbaccacbbcbbbcbcbcbccbcabbbabbbcbcbbcbcbbccbbbbbbbcccbbbbcccccbbbcbcccbbbbcbbabcbbabcbccbbcbbbbcccabbbacbbbcbbbcbcbbccbbbbbbbbbccabcbbbbbbbcbbbbbcccbbccbbccbbbbbbbacbbcbbbcbcbbbbcccccbcbcbccbccbbbcbbcbbbccbbccbbbcbbbbbcbcbbbcccbcbcbcbcbcbccbbbbbcbbcbacbbcbbbbcbccbbbcabbbbccccccbcbcbbbbbbbbbbbcbcbbbbabbcbbbccbbbbcbbbbccbbbbbcbbbbbcbcbcbcbcbbbcccbbbbbbccbbbbccbbcbcbbbcbcbbbbbcbccbbcccbcbbbbbcabcbcbbbbcbbbcbbbbbbbbbbabbbbbccbcbacbbcbbcbccbbbbbccbccbabcbcbbbbbbbbccbccbccbccbccbcbcbbbccbcccbbcbbcbbcbbcbcbcbbbcbbbcccbbbbbcbcccbcabbcbcbbcbcbbbcbcbcbbcbcccbbbbbbcbbbcbbbbcbbbcbbcbbcbcccacbccbbbccbbbbbabbccccbbcbbbbccbcbbbccbbbbcbcccbbcbbbbccbcbbbbcbbccbbbcabbccbbbccccbbbccabbcbbccbcbcccbbcbcbbbcbbccccbbbccbbcabbcbbccbbbbbccbbbbcbccbbbbccbcbabbcbbbcbcbccbcbbccbcbbbcbcbbbbcbabbbabbcbbbbbbcbbbbccbbbbcbbbbacbbbcbbbccbbccbbcbbbcccbbbbcbbbbabbbbccbbbbbcbbcbcbbbbcbacbcbbbbbcbbbbcbccbcbbbbbbbbbbbbbccbaccbbcbcbbcbbbccbbbbbcccccbccbcabcbcbbcbbccbcbbbcccbbbcbbcbbbccbccbcbcccbcbbbcbcccbcbacbccccbcbbccbabbbcbbbcbcbbbbbbcbccbbbcbbbbccbcbcbbbbcbbacbccbbccacbccbabbcbbccbbbcbbbbcbcaccccbbbbccbbcbbbbccbbcbcbacbbcbbcbbbbbcbcbccbbbbbbcbabbbbbbccabccbbbbbbbbcbcbbbabbbcccbbbcbacbbbbccbbbbbbbbccbccbcbcaabaccbcbbccbbbbbbbbbbcbcbcbcbbbccabcbcbccbccbbbbbbcbbbcbbcabbbbcbbbccccbccbbbcacbcbbbabbbbbbbbbbcccaccbbbcbcccccbbcabcbcbcbbcbbcbbbcbbccbbccbbcbbccbbbbcbbcbbbcbbbbccbccbbbccbcbbbcbbbbcbbbcbbbcabbbbbbbbbbbbabbabcbbcacccbbbccbccbbccbccccbabbbbbccbacbbbbcbbabbbcabbbbabbcbbbccbbabccbcbcbbbabcbbbbbbbccccbbcbbbcbccbcbbcbcbbbbbbbcccccbbbccbbbbcbbcccbbbbcbbbbbbbcbcabbbbbbccbbbbbbbbcbcbcbcbbabbbbbbcbccbbbcbbbbcbbbaccbbbcabbabbcccccbcbcbbabcccbbbbabbcbbcbcbbcbccbbbbbabbccbbbbbbbbbaacccbcbabbcccccbbbcbbacbbbbccccbbbbcbbbbcccbccccbbcccbbbcbbcccbbbbcbbbbcbcbbbcbbbbcbbccccbbcbbcbbccbbcbbccbbbccbbccccbbbbbccbbbbbbbbabbcbbbcbcbbbbcccbbbcbbcbcbaccccbcccbabbcccccbbbbbccbbbbcbcbccbbbbbccbcccbbcbbcbcabbbbbbbbcbbcbbbcbbccbbbbbbbbababbabccbbcccbbbbbbbbabbcccbbbbcbbcbbbabbbbbcccbcbccbbbbcbccbbbbcbccbcacabccbbabbcbbcbbbccccbbbcccbcbcbbbccbbbcbccbabbbbbbbbbbcbcccaaccbbccbccbbcbccbccccbbbcbbbcbbbcbbbbbbbcbbbcccbccbbbbbbcbbbbbcbcccbbbbbaccbabcbcbaabcbbbabcbcbbccbbaccbbbcbcbbbbbbbbbbbbbccbbcbbbccbccabbbcbbbbbbbbbbbbccccbbbbcbbbccbabbbbbabcbbbcccbbcbcabcccccbbcbccccbbccbbcbcccbcccbccbabbcccbbccccbbbcbbbbcbbcbcccbbbbbbaccbbbcbbbcccbcbbccbcbcbccbabbbcbbccbbcbcccbbcbaabcabbbbccbacccbcbcbcbccbbbccccbbbbcbcbccbbcbcbbcbcbcbbbcbcccbcccbcccbccbbbccbccccccbbcbccbbcbbbbbcbcbbbbcbbbcbcbcbbcbcabccbbbcbbccbbbacabbcccbcbbcbbbbcbbcbbbbbcbccbcbcabbccccbbbbbccbbcbcbccbcbbcbbbccbbbcbccbbacbcbbccbcbbbbbbbbbcbbbbbcbbbbbbcbbbbbcccbcbccbbbbbbccbbbabcbbccbccbbbbbbbbbcbbbcbbbbacbbbcbccbbcccbcbcbcbcbcbbbbccbcbbccccbbccbbbbcbcbbcabbbbccbbcbbbbbbbbcbbbbbbbcbcbcbbcbccbcbcbcbbbbcacbcbbbabbcbcbbbccbbcbbbcbbccbbbcbbbcbbbbbbccbcbccbbbcbbbbbbbbbbbbbcccbbbbbcbbbbbbcbbbcbcbcbbcbbbcbcbcbbcaccbbcbcbbbcbbcbccccbcbcccccbbcbcbbbbcbcbbbbbcbbccccccbbcbbbbbcabbcbbbcccbbcbbbbbbbbcbbcbbbbcbbcabbcbccbbbbccbcbbbbcbbccbbbbbbbbbcbbbcbcbbcbbbcbbccbababbbbbcccbbccbbbccbbcbbbcbbcbaccbbbcccbcccbccbcbacccccbbbbcbbbcbbccbbcbbbcabcbbbcbbcbbccccaccbbccbbbbbbbccbccccbcccbbbccbbcbccbbbbcbbcbbbcbbbbcccbbbcbcbbbbcbbbbbcbccbbcbcbcbbcccbbcbbbcbcbbcbcbcbcbcbbbbccbccbccbbbbcbccbbbbacccbbbbbabbcbcbcbbbbcbbbbbccbbcbcbbcbbbbbbcbbbcbbcbbbbbccbbabccccbcbbbcbbaccccbccbcbbccbbccbbbbcccbccbbbcccbbbcbcccbcbbbcccbbbbbbbccbbbccbcbacbbbcccbbccbbabbbabbbccbcbbcccccbbbbbbbccbcbbaccbccbccbbbbbbbcbbbbbcbccccbacccbbbccccbbbbbbccbcbaccbacbbbbbcbcbbcbbcbccbbcbbbbbbbbbbbccbacbccbbccbbcabccccbbbbbbcbbbabbbbbccabccbbbbbbcbcbcbccccabcbacbcbcbbbbbbbccbbbbccbbcbbbcbccccbbbcbbbcbbbcbbbbbbccbbbbbbcbccbcacccbbcbcbccbaccbbbbbccbbbbccabcccbabcbabcbbcabaccbbcbcbcbbccbbbbbbcbbbbcbbccbcacbccccbbbbbccbbbbbbbcbbcccbcbbbbbcacbccbbcbcbcbbbbbbcbccbbbbbcccbbbbccbbbcccbbbcbbbbcbabbcabbbcbcbbabbbcbabbbbcbccbbbccccbaccbbccacbcccbcbbbbbbbbbcbbbbbbbbbbbbbbbbbbacccbbbbbbcbbcccbcbbbcccbbcbcbbbcccccacbbbbbbbcbcccbcbcaccbcabbbcbbbccbbcbbcbcbcbcacbcbbbcbbbcccbbbcbbccbbbbabbcbabcbcacccabbbbbbcccbbbbcbbccbcbbbbbbccccbbbbcccbbbbbbcbbbcbcbbbcbbcbcccccbbbbbcbbacbbccbccbbbbbbcbbbabcbcbcbccbbbbbbbbbacaccbbbbbbbbbbbbbbcbbbbcbbbccbccbbccccccbcbcbbcccbcbbbbbcbccbbcbbcccbccbbbcbbbbcccbbabcbbbbcbbcbbccabbbccbcbcccbbcbcbcbcacbbbcbcccbcccbbcbabbbbcbccbbabbbbbbababbabcbbbbccbbcccbbbbbbbbcbcabbbbccbcbcbcbbccbbcbbccbbbcbcbccbbcbbbbbbbbbbbbccbbcbbccbbccbbcbbbbbcabbbbcccbbbbcbcccbacbbbbbbbcbbaccbcbcbbcbbcbccbbbcbbcbcbcccbcbbbbccbcbbbccccbabbabcbbbabccbabcbbbbbbbbccabbbcbcbcbbbbcbcccbbbcacbbbcbcbcbbbbcbbbbcbbbbbcccbacbbbcbbbbcbccbbbbcbcbcbbbbcccbbbbbcccbbcccbbbbbccbbbcbbbcbbccccbbcbbccbbabbcbabcbbbbbcccbbbbbacbbbbbbbbbbbbbcbbbcbbcccccbbbaccbbbbbbcbbbccccbbcbbcbbbbbbbbbbcbbbbbbcccbbbbccbbbbcbccbccbbbcbbcbbbcbcbbcbbbbbcbbabbbbcbbbbcccbbbbabbbbbcbccbcbccbcbbbccababbbcbcbcbbbbbbcccbbbbbcccbcbbbbbcccccbbbbbbcaabbbcbcbcccbbbccccbbccbbbabbbbccbbcbbcccbccbccbbccccbbcbbccbabcbbcbcbbccbccccbcbbcccccbbbabcbbbbbcbabbbbbbbcacccbbbccbbcbcbcbbbccbbbbbcbcbccbccabbbbcaabbcbcbbbbbcccbbbbccbbccbccbcbccbbbbccbbcbbbccccbbcbbbbbbbaccbbbbbbbbcbcbccbacbbbcbbcccbcbabcacbbcbcbbbcbbbbcbcabcbbcbbbccbbcabccbcbcccbcbcbabbbccbcccbbcccbbcbbccbcbbbbbbbbbcccbbbccbbccccccbccbbccbbccbcbcccccbbbcccbccbbbaccccbcbbbcbbbcbbbbbbbcbcbbabcbbcbbbcbcbcbcbbcbbbccbbbbbbcbccbbabbbcbcbbccbcccccccbbbbbbbbbbcbcbcabbcbbbcbbbbbcbcbaabcbbbbbbbbbcbbbbbccbbbcbbcbcccbccbccbabbccbccbbbabbbcbbbbcbbccabccbbbbbcbbcccccbbcacbccbbbcbcbbbccbbcbbbcbcccbabbccbbbccbacbcbbcbbcbcccccbcbbbccbcbbccbcbacbbbcbbabbcbcbbbbbcbbcbcbcbbcbbcbbbbbbbbcccbcacbbccabbbcbbabccbcbbbbbbbcccbbabccbbbbbbcbbcccbccbbbbcbbbbbbcbbbbbbbbccbbbcbcbbbcbccacccbcccccbcccbbcbbbbabcbabcaacbbcbbabbbcccbbbbbbbbababcbbbbbcbbccacbbcbcbcbbbcccbccccbbbcabbbcbccbabccbbabcbccbbbbbcbccbbbcbbcbbbbbcbbbbcabcbcbcacbbcbbcccbcbbbcbcbbbbbbbbcbbbbbabcbcbbbbcbcbcbbbcbbcbbccbbcbbcccbcbbbbbbbacccbbcbbacbbcbbccbcbcccccabbbcbccbcbbcbccbabbbcbcbacbbcbbabbbcbbccbbbbccbbccbbcbcbccccbbbbcbcbcccbccbbcaccbbbcbccbcbcbbbcbcccbcabacbccbcbcbbcccccbaccaccabbbacccbbbacbbbbbbccbabbcbbbcbacbbbcbbbcbbcbbbbbbbbcbccccbbbbcbbcbbbbcbbcccbbbbbcbbabcbbcbbbbbbbcbbcbbcbbbbcccbbccabcbbbccbbbbbbbbcbbccbbcccbcbbcbbbbbcbbbbccbbbbbcbcbbaccbbbbbbbbbbbbcbbbcbbbcbbcbcbbbccbbbccccabbbbbbbbbbbbbcbbbbbabbbccbbbcacbbbcbcbbccbbccccbbbbbabbbaabccbbbbbcbbcbbbcccbbbcbbbcbbcbbcbbcbccbbcbbbbbbcbbccbbcbbbbbbbbccbbbbcbabbbccccbbacbcbbbbbbbbcbbcbbcbaaabcbccbbbbcbbbccbbcbcbbbcbcbcbcbbccbbcbbcbcbbbbbbcbcccbccccbcabbbccbccbbccbaccbccbcccbbbcccbbbbcbbbcbccabbbccccccbbcbbbcababbcbbcbbaabbbccccacbbcbccbbcbcacbbccbbccabbbcbcbbbbbbbcbcbbbbbcccbcbbbbbbbbcccbbbbbcbbbcbbbbcaccbbbbbccabbabcccccbbccbbcbcbcccbbbcccbbbccbbbbbbbbbcbccbcbbbccccbbcccbcbbcbccbbbcbbcbbbbcbcbbcacbbcbbccabbcbbcbbcbbcbbbcbbccbbccbccccccbcacbbbacbcbbccbbbcbcccbcccbcaccbcbcacbbcccbbbbccbbccbbbbcbbbcbbbcbbcbcbbbccbccbbbbbcbbbccbbbcbccbcbbabcbcbbbbbcbcbcacbcbbbbbbbbbccbccbbcbbbcacbabbbbcbbcbbbbcaccbcbcbbbcacbcbcbbbbbcbbbcbbcbcbcbbbbbbbbcbbbbbcbbbbbcbcbbbcbccbcbbabbcacbbbbccbcbbbccbbbcbbcbcbcbbbbbcbbcccccbbbbbcbcbbbbbbbbccbcbbbbbacbbcbbcbbcbbbcccbacbbbcbbbbcbbccccbbbbcbbcbcbbbacbccbbbbccccbabbbbbbcbbcbccbcbcbabbbccbcbbbbbbbbccbbbbbbbbbbcbccbcbbcbcbbcbbccccbbbcbbbcbcbbcbbccbbcccbbcbbcbbbcbcbbccbbcbcccccccbcbbbcbccabcccbbcbcccbbcabbbcccbbcbbbbcbbccbcccbccbcbbbbcabccbcbbbbbccbabbbbccbcbcccbcbcaccccbcbcbbcbcbbbbbcbcbbbbbccccbbccbbcbcbbbbbbbbbbcbbbbbcbabcccbbbbbcbbcbbbcccbbcbbbcbccbcccabbbbbbbcbcbcabbbccbbbbccbbbbbaccbaacbbcbcbbbbbacbbbbbcbbbcbbcbcbbcbcbabcccbcbbbbbbcbbbcbbcbacabbbabbbbbbbbabcbbacbcbbbccbbcbbbccbbbbbbbbbbbbcababbccbabcbbcbbcbbccbccbbcccbccccbcabcbcbbcbbbbbbbbbbccbbccbccbcbccbbcbbbbcbbbbbccbccccbbccbbbccbacccbcbbcbabbcbcbacbcbbcbbbcbbcccbacbbbbcbbbcbcccbbbcbbbbbbbcbbbcbbcbbbbbcbbbbbccbcabbbcbcabaccbcbbcbcbabbbcccbcbcacccbccbbbcbbbbcbbbbbccbcbccccccbbbcbbccabbcbcbccbbbbbbbcbcbccbcbbbbbcbbbcbcbbcbbbbcbcbbcbccbcbbcbccbbcbcbcbcccbcbbbcbbabccbbbbcccbbbbcaccacbcbabbbcbcbcccbbbccbbcbbbccccbbbbbbbabbbbbccbbcbcbcabbccbbcbcbcbbbbbbbcbbcbabccbcbcccbbccccccbbcbbcbbcbcccabbbbbabcbbccbccbccbbcbcbcbbbbbbbccbcbcbcbbabcbcbbbcacabbbcbbccbbbbbbbbbbbcbcbcbbcccbbcbcbbbbbcccacbbcbbcbbbbbbbbbbcbcbbccbbcbccbccbbcbbbcccbccccbbcbbbcbcbcccbbabacbabbbbcccccbcbbbccbcbcbbcbccbcabbbbbbbcacccbbbcbcbcbbbbbbcaccccbbbbbccbbbbbbbcbcbbcbcbbbccbbcabcbbaaabcbccbccbcbcbcbbbbccccbbbccabbbbbccccabccbbccbbcbbbbbbbbcccbacbbbbbccbccaccccbbcbcbbabacbccbbccbcbbbbbbbcbabbcbbbccbcbbbcbbbcbcbbbbcbccbbbbbbbbbbbcbcbbcbbbbbbcbbbbccbccbbbbcccbbccbbbbcbccbbbbcbacbcbbbbbbccacbbbbbbcbbbcbbbbbbccbcbbcbcbbacccbbccacccbbbbbbbcbbcccbbbcccbcbcbbcbccbbbbbbbbbccccbbbcccbbbbcbbbccbbbbbcabcbcbcbbcbcbcbbcccbbcbbcacbbbbccbcbbcbccbbbbaabbbccbbcbbbbcbbbbbbcbbabbcccbbcbbbbcabacabbccbbbccbbcbbcbbbcacbbcccbbbbbabbbbbcbbbbbcbbcccbbabbbbcccbcbbbcbbccbcbbbcbbcbbbbcbbbcbbccbbcbcbbbcbbcbcacbccbbbccbbcbbbbcaccbbbbbcbcaacbbbcccbbbcbbcbbbcbbcbcbbbcbabbcccbbbbbbbccbccbcbccbbcbbbbcbbbcbbccaccccbbccbbbbbacacccccbbbbbcbbcbcbcbbbbcbcccbbbbccbbcbcbbbbcbbcbbbbcbcbbbbbcbbbbbbacbbccabbccabccccbccbbcbbbbcbbcabbbcbbbcccccbbbbbcbcbbbbbbbccbcbbbbbbcbbbbbaccbbabcbbccbbbccbbbcbacbccbbcbbbbcccbbbcbccbbcbbbcccbbacbcbbbbcbcbcbcbbbbbbbbcccbbbbbbbbbbabbacbcbccccbbcbbbbbbbcbcbcbbbcbcbbbbaccbbbbbcbbbcbccbbbbcbbcbbcbbbbcbbbbccbbbbbbccbbbcbbcbbcacbbcbbbbbcbbcbbbcbbcbbbbbbcbbbccbbcbabbcbbbccbcbbccccccbcbbbbcbcbbbbbbcbacbcabbbbbbcbcccccbbbbbbbbbaccbbbbbbcbcbbbbcbcbbbcbcbbbbcabbbbcbcbbcbbbcccbbbbcbbcabbcbbbbbbbbbbcbbabbbcbcbcbcbbbccbbbbcbbcbccaccbacbbcbbbbcccccccbbbcbbbbcbbbccabcbccbcbcbbbccccbbbbcccbbcbccccbcacbbcccbbccbbbbbbcccbbbbbbbcbabbcccbbcbbccbbcbbbbbccbcbcbccbcbbbbcbbcbbbbbbbccbbbbbbbbccbcababbbbbcbcbcabbbcbabcbccbbcccccbcbcbbccccbbbbbccbbccbbbbcbbbbbcccbbcbbbbcccbbbbbccbbbbabcbbbbcbbbbcbbcbbbcbcbbbcbccbbcbbccbbcbbccbbbbbbbbbbbbbbbbbcbbbcbbbabcbcbccccbcccbcbcbbbbccbbbababcabbcbbabbbbcbccbbbbbbbcabbcbccbbbbbbcbbbbcbbbbbbbbbbcbccccccbcbbbbacbbbbbcbbcbbcbbbcccbbbbbbbbcbbbbcbccbcbaccacbbbabcbccccbbccabcbbbccbbbcbbcabbbbabacbbcbbbbcbcbbbcabccabbbcbbbbbcbbcbbcbbcccbbbcbbbbbbbbccbcbbbbbbcbbbbbbbcccbbbcbbbcbcbccbbbcbbbbcbcbbcbccbbbbbcccbbcbbbccbbcbbcbbbccbcabbcbbbbccbccbbbcacbbbbccbcccccbbcbcbbcbbbacbbbcccbbcccbbcccbbbbccbcbccbbbccbbcbcbbccbbbbbcaabbbcbbbcbbbbcbbcbbbcbbbbacbbbbbbbbbbbbbcbbbcbcbcccbbbbcabcbcbcbcbbabbbbbbcbbbcbcccccccbcbcbbbbbaabbcbbcbcbbbbcbcbbbbbbcbbbcccccbacbcccbcbbbbbabbccbbbabccbcbbbbbcbcbcbbbcccbcbbcbbccbbbabbbbcbbbbbbcbcabbbcbccabbcacabbbbcbcbccbbbcccbbbbbbcbbbbcbbccabacbcbbccabcbbbbbbbbbcbbbcbbbbbcbbbbbbbcbbcbabbabbbbbbbbbcbbbbbbbbbbbbabbccccbbbbbcbbbbcbbbcbcbcbcbbbbccbbbabbbbbcbbcccbbbbbbcbbabbabbcabcbabbcbcbbcbcbbacbbbbbcccccccbcbcbbbccbbbbbcbcbbbcccbbccbccbbbbbbbcbbcccbbbccbcccbbbbbbcbbbbbbcbbbbbbcbbccccbcbcbcabbbbccbbcccbbbbbbabbbcbcbbcbabcbbbbbabbcbbbaccbbbaccbccbbcbcbccbcccccbcbabccbcbbcbcbbcbabcbbbbbbcbbcbcbbcbbbcbbbbbbbbbcccbbbacacbbbbbbabbcbcbabbccbccbbbbbaccbbcbbbbccbcccbbbbabccbcbbbbcbbacbbcbbbcbccbbbacbcbcbbbbbcbcbccbcbbbbbcbbcbcbccbbbbbbcccbbbbbbcbbbcbcbbbcbbbcbbbbbcccbbcccbbbcbbccbbbbbbbbbbbbcbbbbacbcbbcbbcbbccbcbbcbacbbabbbbbbbbccbbbbcbbcbcbaccbcccccbcbbcbcbcbccbbbccbcbbbccbbccccabbbbbcbbbbbabbbbbcbccbbbbccbbbcbbcbbbbbbccbcbbbbcbbbbbbccccbbbbcbbbcbbbbbcbabbbccccbbbbbbbcbbbbbbbccccbcbcbbcbbbbbcbbbbabbbccbbccbbcbbbbcbbbbbbbcbbcbbbbcbbbccbbcbccbcbcbbbbabcbbcbcbbbcbbbbbbbcbbccbbbccbbbbbbbcbbcbcbcbccbbbcbbcbbcbbccbbbbaccbbcbabbccbbcbbbbbcbbcbbbbbbbcbbcbbcbbcbcaccbbbcbccbbbbcbbcbbabbbbabcabcbbbbbbbcbbbbcbcbcbbbbccbbbbccbbcbbbbbbcbabcccabbbbbcacbcbccbcccbacbbcccbcbcbbbbccbbbcbcbccbbbbaccbbcccbbbcbbcaccbbcbcbcbbcbbbccbbbbbbcccbacbcbcbcbbbbbcccbbccbbbcbbbbbbbcbbbcbcbbbbabbbbcbbbbcbbcbbbbbbccbbbbaabbbbbbbbbcbcbcbcbbccbbccbcbccbbbbcbbbbbcbbbcbbabbbccbccbbbcbbcbbbcbcabbbbbcccbabbccbccbbbbbbcbcbbbbcbbbbbbccbbccccccbbbcbbbcbbcbcbbbcccccbbbbbbccbcbbbcbbbccbccbccbbccbabcbbcbbbbcbbcccbcbbbcccccbbbbbbbbcbbbcbbcbbbbccccbcbbbccbbbcbcbccbbbbccbbcbcbcbbcbbcccbcbbcccbcabcccbbbccbbbbcbbcbbcbccbbccacbcbbbcccbcbbbcbbbbbccbcbbbcbbbbbbbbcbcccbabbacccccbccbbbcbcbbccbbcbbbbbbbacaccbcbbbcbccbbacbbbbbcbbcbcbbccccbcbcccbcbbbbbcabbbabbccbcbbbbbbbbcbbbbcbacbcbbabbbcbbbbbcbcccbccababbbcbbbccbbcccbbbcbcabbcbbbbcbbccbbbcaccbbbbcbbcccbcbbbccbcbbbbbccbbbbbbbbbbbbbccbbbbbcccbbbbbbbcbcbbcbbccbbcccccbbcbccabbbbcbccbccbbcbcbbbbbbbccaccccbacbcbccbcbbbccccbccbbbcccbcbabbbcbbbccccbbccbbbcbbbcbcbbcbcbcbbabbbbbbbccbbcbbcbbccbcbbbbabcbbcbbbbbcbbcbcbbbbacbcbbbcbcbbbcccbcbbcbcabcbcccbccbccbcbbbcbbcbbbbbcbbcbcbbabbcbbbccbcbbccbbcbbbbbcccbcccbcbcabcbbbbbbbbbbbcbbcbcbcbbbccbbbbbbbbcbbbcbcbbbbcccbcbbbbcbbcacbccbbbccbcbbbbbbcbbbbbbcbcbbbbbcbbcbabbbcbbcbbccbbbcccbcbccbcacbccbbbccbbbbcbbbccbbcbccbbcbbbbcccbbbbbbcbbbbbbbbcbbcbcbabbcbbbbbbbbbbbbbabbbbabbbcbbcbcbbcbbabcbbcbbcccbcbaccccbcbabbcbbbcccbbbccbccbcbbccbbbccbbbbbbbbccccbccbcbbcbbbbbbccbbbbcbbbcabbbcbcbbbbabbbcbbbcbbbbbbbbbbcbccbbcbbcbbccbbbbbbcbbcbcbbcbbbcbcabbcbbbbbabbbbccbccbccbbbabcbcbbbcbcbbbbbbcbccccbcbbcccbbbbbbbcbbbcbbcbbbcccbcbbcbcbbbcbbbcbbbbbbcbcbbbbcbbcccbcbbbbbcbbbcbccbbcbbbbbcbbcbcccbcbcbcbbcbbcbcbbbccbcbbbbbbbbbbbbcbcbbcabbccccbacbbbbacbccccbcbbbbccbcbccbcaacbcbbbbbbcbcbcbcbbccbcbbcbbbbbbcbbccbbbbbccbbcbbcbbacbcbbcbbbcbcbbbbbbbbbbbbbbccbbccbbcccbcbcbbcbbbcbbccaccbcbcccccbccabbccbbbcbbbbaccbbcbbbcbccacbbccbbbcbccccbbcbbbcbbbbbbbcabbbbbcbbcbbbbaccccabcccbbcbbbcbacbcbcbabbbbabbbbcbbbbbbbbbcbcbbbcbbbbbccbcbcbbccbbbbabbbcbbbbabbbbbcbccbbccbccccbcbbbbbbcbbbbbbccbbbbcbbbbccbbcbcbacaacbbbccccbacbbbbabbbbccccbbbabbcbabbcacbcccbabbbbcbbcbbbbcbbbbbbccbcbcbbbbbccbabbbbbbbbbcbbbacbbbccabbbcbbbccbcbbcccbcbacbbcbbbbccbbcbbcacccbcaccbbbbbcbcbacbbbbbbcbbbbcbbbbbbbcbbbcbabbccbbbbbbcbccbbbbbbbcbbbbcbbbcbbcbbbbbbbbbbaccccccbbbbccbbbccbbbcbbbbcbbbccbbcbbbbbbbbcbbcbbacbcbbbbcbbbcbbbbbcbcbbbbbbcbcbccbbbccbbbbbbccccbccbbbbcccbbbbbbcbbccccbbbbcabbbbccbcabbabcbbbccbccbbbbabccacbcbbbbbccbbccbcccbccbbccbbcbbaccbcbbbbbbccacccbbccbaabccbcabbbcbbbccbbbbbcbbbbbbbccbccbbbbbbbcccbbcbbbbbbcbbcbcbbbbabcbbbbbacbbcbcbcbcbbbcccbcbbbbbbccbccacbabcbccbbbcbbbbbccbbcccccbcccbbbbabbccbbccbbbbbcbabbbccccbccbcccbbbcbaabccbcccbcccbbbbbcbcbcccccabcbccbccbbccbbcccbbbcabbcbbbcccbccacbbccbcbbcccbcbcbbcbbccbcccbbbbcccbbbbcbccbcbbbbccbbcbbbbcbbcaccbcbcbbbbbbcbcbbcbbbcaccbcbcbcbcbbcccbccbbbbccbbbccbbbcbbcbcbbabbbbbbcbbbcbbbcbbcbcbbcbbabbcbbcccbcbccbbcacbbbcbbbbbcbbcbbbbbbcccbbbbbcbcccbbbcbbccbccacbcbbbbcccbbccccbbccccbcbcbbcbbbcbbcbccbccbbbbbbbcbcbbcbbbabcbcbbcbacbbbbbccaabccbbbbbabcbbcbbcbbcbbbbbbbbcbbccbbbbcccbbbbbcbbccbbbbbccbccbcbcbbbcbbabcbcbbccbbbbbcbbacbabbbabbcbbbbcbcbbbcbbbbccbcbcbccbbcabbcccccbbcbcbccbbcccbbbcccbbbccbbbbbbbcacccccbcccbcbbbbcbcccbbcbbcbacbcbbcbbccbbbbcbbbcbbccccbbbbbcbbbbbcccbcaacccbcbbccbbcbcbbbbbbbbbabbbbbbbcbbcbbbbccccbcbcbbcabcbcbcbcbbbbbbbbbbbbbbcbbbbccbccbcbccbbbbbcccbccccbcccbbbcbcccbbbbcbbbcbcabbbbbbcbcbbcbbbbbbccccbaabbbabccbbbbccccbcbabbcccbcbbbbcbcbcbbbbbbcbccbbbccbcbcbbbbbbbbbbbbcbbcccacbbcbbcccccbbbcabbbbcbcbbccbbccbccccbbbcbccbcbbcccbaccbacbbbcbbbcbbcbbcbcbbcccbbbbcbcbcbbbbbcbcccabbbbbaabbcccbcbbcbbabcccbbbbccbcbbcbbcbccbcbaaccbbbcbcbbbbbccbcbcbbcbbbbbcbcbcbbbbbbccbbccbbbcbcbbcccbbbbbbcbbccbbbbccbbbcbccbbcbacbbbccbccbbbccbccbbbcccbccabbbccccbbbbbbbbcbbaaaccbabbbcbcbcbbbbcbbcccbccccbbacbbacbccbbbbbabbcbccbbcacbbbbccbbbcbbbcbbcbbcbbacbcbbcbbcbcccbbbbbbbcbcbbbcabbbccbcbcbbbcbcccbbcbbccbbccccbcccbcbcbbbbbbbbcbacbbcbcbbcbbcabbbbbbcbcbcbbcccbbbbcccbbbbbcbbcbbbbbbbabccbbbccbbbcbbcabbbcccbbccbcbbbbcbcccbbbbbbbbcbbccbccbbbbcbcabbbbbccbbcccbbccbabccbabcbcbcabcbbcabbbcaabbbcbbccccccbbcbcbbccbbbcbbbbccbcaacacbbbccbcbbccbabbbbbbbcbbcbbccbbbbcbbbbbbcbbbccccbcbcbbcbcbbcccabbbbccbbbccbcbcbbbcbbbbaccacbcbbbbbbbbcbbbbbbcbbbbcbccbccacbbccbcbbbbbccbcacccbbcccbbbcbbbbbbcbbcbbabbbbcbccbbbcbbcbbbbcbbbccbbbbbbbcbbbbabcbcccbbbbbbcbbbccbbbccbbbcbbbbbcbcbccbcbbbcbcbbbbbcbbbbbaccbccbbbbbbcbccbbcbcbcccbbbbbcbbbcbcbbbbbccbabcbbbbcbccbbbbcbbbbccbbbbbbccbcbccbcbcbbbbbccbbbbcbbbbabbbbbbccbbbbbbbbbcccbbbabcbabcbbbcccbbbcccbbbcbcccbbbbbbcbacbbbcbbbbcbbbcbcccccbbcbbbcbbcbbcbbcababbbcbbcbccbbacccbbacbbbbccbbbcbbccbcbbbccbabccbbbbbbcbccbabbbbbbcbbbbbbabcbbcbbcbacbcbbbccbcbbcbcbccbccbbbbcbbcbbbbbbbccbbbcbbbbbbbccbbbccbbbababbbacbbccbbbbbbccccccbbbbbabbccbbbbbbbaccbccbbcbbcbbbbbcabbbccbbccbccbcbbccabbcbbbbccbccccbcccbbbccbcbbbbabcbbcbbbaacbccbbbbccbbcbbcbbbbbccbcbcbcbbbccaccbbbbbbbbccccbbbbbbbbcccbbabbbccbbbbbcccbccbbbbcbbbcbccbccabbcbccbcbbcbbbbbccbcbbccbcbbcbbcbbbbccabbccabbbbbcbbcbcccbbbbcbbbbabbbcbbbcccbbbbcbbcbbbbcbcbbbbbabbbbcbcbcaccbcbcbbbbbbbcbbbbcbcbccccbcccbbcbbbbbbccbbccccaacbcbabcbbabcbbbcbbbbbbbbbbbcbbbcbcbbbcbccbbcabbcbbbbaabbccbbbcbbbbcabbbbccbbbcccbbcbbbcccbbbcbcbbbbbbbcbcbbbcbbcbcbcbbbccbccbcbbacbbbbbcbbbbbbccbbcccbbbcccbcbbbcbbccbbbcbbbbbbcccbbbccbccbcbbbbcccbbbbcccbcabcacabbabbbcbcaccacbbbbcbcbbcbcbbbcbbbcbcbabccbbbbbbbbbbbccbcccbcbbbbcbbbabbbcbbbbbccbcbbbbccbcbcbccbbcbbcbbbbccccbabbbbbbccbccbbcbbbbcccbcbcccbbbcccbbccbcbbbbacbbcccbbbbbcbbbbbbbbabbcccbbcbcccbbbcbabccbbccbcbbbccbcbbccccbbcbbbcbbbbbbbcbbbccbbbbbbbccbcbcbbbbbccccbbbbbbbbcbbbbbbbcbccbbccbcbbccbcbaabccbbbabcbbbcbcbcbbccacbcccabcbbbbbbcbbbbbbbbcbbcbbcbcbbbbbabccbbccbbbbbbbccbbcbcbbbbcbbbbbcbcccccbcbccbbbcbcbbbbbbbbbbcbbccbbcbcbbbbbbcbbbbcbbbbbcbcbbbcbbbcbbcbcbbbabbbcbbbcbbcbbcbbbbcccbbbbbcbbbbccacbbbbbcbbcbbbbcbbabbbbcbccbcccbbccbbbabbcaccbcbcccbbcbcbbbbcbbbccbbbbbbbccbbbcbcbbbcbbcbbbcbbbbbbbbbbcbccbbbbccbbcbbbcbbcccbbbbbcbbcbbbbbcbbbcccbccbcbcbbcbbbbcbbbbbbaccbbbbbbcbcbcbcbcbcbbbbcbccbabbbbccccbbbccbbcacbbbcbbabcbbcbbcbbbbbbbbcbbcbbbbbbbbbbcbbbbccbccbbcbbcbbccbbcbccccccbcbbcbbcbcbbbbbccbbcbbcccbbbbcbbcbbccbbbbbbbbbbbaabbcbcbcccbcbcbbcbbcbbbbccbbcbabbccbccbbbbbbbbccccbbbbbbbcbcbbbbbacbbbabbbbbcbccbbbbbbbccbbbbbccbbccbcbbbbbbcbbbbbbcccccbbbbcbccbacbbbbbbbcccbbcbbbbcbbcbccbcbbbbbabbbbbcbbbccbcbbcbbbcbbcbbbbbccbcbbbbccbbccbbbbbbcbcbcbbccbbbbccbcccbbbbbbcbbbccbbabbbbccbbbbbbccbbbcbcbbbcccbbcbbbcbccbccbbcbbccbccbbbabbbbbbbbcbbbbbabcccbcbbbbcbbbcbbcbbbbbbbbcbcbbccbbbbbbbbbccababcbbbbbbbbcbcbcbbbbacbabcbbbbbbbcbcbcbbcccbbabccbbccbbccbcabbcbbccccccbbcbbbcbbcbbcbbcbbbccbbabccbbbabbbbbbbbccbbcbcbcbbbbbccbbbbcbbccbcbbbbbabcbccbcbccbbcbbccccaabbbbcbbccbbbcbbbccbbbcacbbbbcccbabbcbccbccbbcbbcbccbcbbbbbbccbcbbcabbbbbbbcbbbbbbbbccbcbcbbcbbcbbbcbcbcbcbbbbbbcbbcccbcabbccbabbcbcbbbbccccbbbbcbbccbbbcbbbcbcbbbbbbcbbbbbcbcbcccccbcbcccccccbbbbbcbcbccbcbbcbcbabbcbbbccbcbccabcbbbcbbacbbbbbccbccbbbbbcbcbbbccbbcbbbcbbccbbbccbccccbcbabbbcbbbccbbbbbbcbababcbbbbcccaccbbaccbccbbbbbbbbcccbcbbccbbbbbbbbbbbbbcbbbcbbbcbcbcbbbbccbcbbcbbbbbbcccbcbbcccbbccccccbbbbcbbbbcbbbcbcbbcbcbcbbbcbcabbbccbbbcccccbbccbbbbcbbbbbcccbabbccbbcbbbbbcbbccbbbbbbbbbbcbbbbbbbbbbbbbbbcabcbccbbbbcbcabbcbbbbccbbbbbbbcbcbcbbcbbbbabbcbcbccbccbcbabccccbcbbbbccbbcbccbbbbccbbbbbbccbbbcabbcbcbbbccabbbabbbbcbcccbbabbccbbbbcbbbbbbbcccbbbcbcccbcbbccbcbbcccabbccbbbbbbbbbcbcbbcaccbcbcbbccccbccccccbcbbbbbccbbbbccbbbbbbbbbccccbbbbbbbbabbcbcbcbbbbbbbbbbcbbcbbbbcbcccbbccbcbbccacbcbcbccbbbcbbbbbbcccbcbcabbccbccbbbbcbbcbcbbcbbbcbbcbabbbbbbcbbccbbbcccbbcabbbabbbbcbbccbbbbbcbbbcabccbcbbccccbbacccbbbbcccccbcbbbcbbcccbccccbccbbbccbbbbbccbcbbcbcbbbcbbcbbbbbbbbcbccbbbcbcbcbbcbbcbbbbbcbbccbcccbbccccbcccbbcbcbbbbbcccccbbbcbcbcbbcbbcbbbbccccbcbbbbbbbaccbbcbbbbbbbbccbccbbccbbbccbbbcbbabcbbcbbcbccbbbbcabbcabbbcccbbcbbbcbabcbbbbbbacacbbbbbbbbcbbcbcbbbbbabcccbcbcbbbbbbbcbbbbacbcbccbcbbccbcbcbbbbbbabbccbaabbbbbbbcbcacbccbcbcccbbbbbbbbbbcbcbbbbbbbbbbcbccbbbbcccbcbbcbbbbbbbbcccbccbbcbccbccbcbabbbbbbbbcbbbbbbcbbcbbbcbabcbbbccbcbcccbcbbcbbbbbbcbbcbbbbbbbbbabbbcccbbcbbcbcbbccacacbccbccbbbbbbcbbbbbbbbbcbbbbbaccbcbbccccbcbbbbbcbbcccbbbbbbbcccbbbcbbbcbcbbccbccccbababbccbcbcbbbcbbbbbbccbbbcbbcbbbbbccbbccbcbbbaabbccabbbbabbbccccbbcabbbbbcccacbaabcbbabccbbcbbbccbbbcbbabbbccbbbbcccbbcbbbbcbbbbbbbbcccbbbbbcbacabacbbbcbbbcbcbbbccbbbbbccbbcbbcbcbbbbbbcbbcbcbabcbbbbacbccbbbbabccbacbbbccbbbcbbcbcbbbbaabcbbbbbccbcbcbccbccbccccbabbbbbbbbcabbbbccbbbbcbbccbbccbbcbbccbcccbbbbbbbabbcbbbbbbbccbcbbbcccbaccbcbbbcbcbbbcbbcbbbcbcbbcbbbbbbcbccbccbbccbccbbcbbbcbccacccbbbbbbbbbcbcbccbbbcbbbccbbbbabccbcbbbbbbcbbbbcbcccccccbbabbcbccbbcccbbbbbbbbbbcbbbccabbcbcbbaabbbbccccbcccbcbcbcaccccaccbcbbcbbbbcccbbbbcbbbbbbcbbcbbccbbcbbbcbbbcbcbccbbbccbcbcbbcbcbbbbbbbbccbbccbcbcbbbcbbbbbbacccbcbcccbcbcbbbbbbbcabbcbccbabcbcbbcbbccbcbbcbbcbbbbcbbbbbcccbbbbbbbbbbbbbacccbbbccccbbbbbbbccbbbbbbcbcbbbbbcbccbcbcccbbbbcccbbbbbbbbcbbbbbcbccbbbbbbbccbbbcbbccccbcbcbbbcbabcbbbbcbbbbbbbcbcccbcbcbbcbbbabcbccbbcccbbcbbcbbbcbabbccbbbcabbcbbbbcbbcbbbcbccccbccbcbbbbbbbbcbccbbbbbbbbcccbaccbbbcbbccbccbbbcbbbbbbbbcbbbcbccbbbcbbbbabbccbbbbacbccbccccaccbbcbbcbcbbbbccbbbcccbcbbbbcbbcbbbbbbbbcbbbbbbcbcbbbbccbcbbcbbcbbbcaccbbbcbbcbccacbcbbbbccbbcbcbbbcbbbcbcccccbcabbabcbcbbabbccbbcbbbbbbcbccbcccccbbbcabbbbcbcbbbbcbcbccbcccbbbcbbbbbbbacbcccbbbbcbcabcbbcccbccbbcbbbcbbcacbbbbccbcccccbbbbbcbbbbbbbbcbbbcbcbbcbbbbccbbbccbccbcbbbbcbccbbbbbbbbaccbcbbccbcbcbbccbbbcbbbccbbbbbcbbbbbbccabcbbcbbbbbcbcccbbbbccbbbccbcbbbbacbcccbbbcabcbcbcbcbabbbbbbbcbcbbbccbbabccccbbcbccbbbcbabbbbbcbcbbabbcbccbcbbbcbbcbbccbacbcbbcbbcbbbbcbbbbbbbbbcbcbcccccbbbbbbbbcbbbbabacbbccbbcccccccbcccabbccbccbcbbbbacbcbbbbcccbcbbcbbbbcacbbbbbbbcbccccccbcbcbcbccbbcbbcbbbcacbbbcbbbbccbcbbbbbbccbbbbbbabbbbbbbcbbbcbbcbccbaccacaccbbbbcbbabbbccbcbcbcbbbbcbccbccbbcbcbbbcbbbbbbbbbccbbcbbbcbbbbbbbbbbbbccbbcbbbbbcabbbbabcbbcbbbbbcbcabbbbcbcbcbbcbaabbbacccbbcbcbbcbbcbbbbbcccbbbcbbcccbbcbbbccbbbccccbcbcccbbbbccbbcbcbbcbbcbcbbbcbcbbbbbaabcbbcbbbbbbcbcbcbabbbbbbccccccbcbbcbbcccbabccbacbccbccbcbcbcbbbccccbbcbcbbcaabbbbbccbccbbbccbcbcbcbbccbbbbbcbcbbcbbcbccbbbbcbbbcbbcbcbbccbbbbcbbbcccbbcbcbbbcbbabbbbbbcbcbbccbbcbcbbbbbbccbbbbcbbbbccbbbcccbcbcccabccbbbbcbbcbbbcccccbbcbbcacbbbbbbccbacbcccbbbbbbbbccbbcbccbbbbbbccbbbcbbcccbcbbbcbbcbbbcccbbcccbcbbbbcbbbbbcbcbcbcbcbcabccccbbcbbccbbcbacbbbbbbbbcbaabbbbbcbbccbbcbbcbbcbbcacbbcbbbcbbbbccccbbbbccccbccbbbbbcbbccbcbbbbcbbcbcbbbcbbbbcbbbccacbbbbcbcccbcbcbcccbbbcbcbbbbcbbbbbbbcacbbbbbbbccabbccbcccbbbbcbbbcbbbcbbbbcbbbccbcbcacbbbbbbbbcbbbbbbbbbbbbcbbcccbaccbbbcbbbbbcbcbbcbccbbbbcbbbbbbbccbcbcbbbbcbbcbbbbbcbcbbbbbbcbbbbbbcbbbbbcbccbcbcbcbcbbcbcbcbbbbbbbaabbbcbabcbbcbbbccbbcbbcccabcbcbbccbbbbcccbbbbbcbbcbbccbbbbcbbbbcbcbbbbbbbbbbccbbcbbcbbbccbbcaccbbbbbbbcbcccbabbbbbbbbccbbcbbccbbbcbbcbbcbbccbbbbbbbbcbbbabbbbccbabcbbbcccbbbbcbcbccbbbbcbbbbcbcccbbbbbbbbcbbcbbbbcbbcbcbbbcbbcbbcccbbcccbbbbbbbbbbbbccbbcbbccbbcbbbcbbcbbcbcbbcccccbbbbcbcbbcbcbbbcccbbcbcbbbbcbbcccacbbbcbbbbbbbbcbcbcbbcbbbbbcbcccbbbbbbcbcbcbbbcbbbcaccbbbbccbcbbbbbbcbcbcbbabbbbccbcbccbbbbcacbcbcbcbbcbbcbccbbbbcbcbcbbbbbbbbcbbbbcbbbcbccccbbbbbacbcbbbbcbbbbcbccbcccbbcbbbccbbccbcccacbbcbccbbbcbccbbcbbbbbcbbcaccbcbcbccccbccccbccbcbbbbcbabbbccbbbbbbbcbbbcabcccbcbccbbbbcccbbcbbbccbbbccbbbabccbcabcbbcbbabcccaabaacbbcbbbccbbcccbbcccbbbcbbbbbcbbabbbbbcbccbbaccbbbbbbbbcbbbccbbcbcbccbacccbccbccbbbbbccbccbbbbcbbbbcabbbbbbbbbbccbbcbbbbcbcbbbabcbbbcbccbbbccbcbcbbabccccabbbbbcbcbbbbbcbccbcbbccccbcccbbcbcbbccbcbcbcbbbbbbcbbcbbbbcbbbbccbccbcbcbbbcbcccbbcbbbbbcbcbcbbbbabbbbbbccbbbbbbbbabbbbcbbcbcbbbccccbcbbbbcbccbcacbbbbcbbbbcbbbbcbbccbccbcbbcbbbcbbccbcbbbccbbccbabbbccbcbbbbbbcbcacbbbcbbccbbcbcbacbccbbbabbbbbbabbbbbbacbbcbcbccbbbbcbbcbccbacbbccbbbccbcbcbbcbccbabcccaccbcbccbbbbbcbbccbbbcbcbbbcbbccbbbbbbcbbbbcabbbcccbcbbcbcbbcbccbbbbcababbbbccbbcbbbbbbcbccccbbbccbbcbccbbcbbbabbbbbbcccbbaccbbbbccbcccbbcccbcbbbbcbbcbbbcbbbbbbbbbccbbbcbcbcbcbbcbcbccccbbaccacbabcbbcbbbbbbbcbbbbbcbbbbbbbbbbbbcbcbbbccbbbcbccbbccbbbbcbbcacbbcbbbbbcbbaacbcabbaccbcbbbcbbabbbbbbbcbbbbcbcccbbbbbcbcccbbbcbbbbbbbbacbcbbcbbbbcaccccbbbbcbccbcbccbababbabbcbbbcbbbcbbbcbbbcbbbbbbccbcbbbbcbbabcabbbbcbbcbbbbbbbbbbbccbccbbcccccbbccbbcbbcbbcbbbbcbcbccbbbbbccbbbbbcbbcbbbccbbbcccbbbcbcbbcabbbbbbbbbcbbcbcccccbbbbbbbcbcccbcbbccbbcbcccbbbcbccbcbbbbaccbbcbbbccbcbbbbcccbbbabbbbbbcbbbcbbcbbcbcbbcbccccbbbcbccbbcbbbbbbbbcbbbccbccbbbbbbbcbbbbbbbbabacbbbcbbabbaabbbbbbccacbbbbabcbbbbccbccbbcbbbbbbbbcbcbbbcbbccbcbbcccbbbccbbcbbbbbcbbcbbbbbbcccbccbcbbbbbbbbbbbbbbcbbbcbbbbcbbcbbcbacbbbcbcbcbbbbbcccbbbcbbbbbccbbbcbccbbbbcbbcccbbaacbbcbcbbccbbbbbbbcbbcbbcbccbcbcccbbbbbbbbbbbbbbbbbbbbbccbbbbaccbbbcbbcbcbbbcbbcbbccbbbbbbbcabccbcbbcbbcabccbcbbcbcbbccbcbbcabbbccbbbbbbbbbcbbbbbbbbbcbcccbbcbbcbbcccbacbccbbccbcbcbbcbcbcccbbabcccbcbbbcbccbbcacbbbbbbbbbcbbbcbbbbcbcccbcccbcbbbbbacbbbabcbcbcbccbcbbbccccaaccbbcbbcbbbccccbbbccbbccbbbccbbbbbbcbbccbccbbcbbcbcbcccbbcbcbbbbbcbbbbcbcbcbbccccbbbcccbbbccbcbbacbcbbbbbbabbccbcbcbbbbccbbcacabcbbabbbbbcbbbbbbbbcccbcbbbbbbccbbbcbbcbbbabbbbcbbbccbcbcbbcbbacbbabbbcccbcbbbbcbbcbcbcbbbccccccbbbbbccbcccbbbcbbbcbbcbbbbbcabcbbbbcbbccbbbbbbbcbcbbbbbbbcbcabbbbccacccbcbccbcccbbcbbcbbbbbbbbbcbcbbbbbcbbcbbbbcbbabccccbbccbcacbccabbbcccbcbcbbbbbacbcbbbbbcacbbbbcbbbbcbcccccbbbbbccbcbbbcbbbbccbcbbbbcbbcbbabbccbbbbcccabbcccbbbcbbbccbbcbacbcbbcbbbbacbbbbbbcbbbbcbcbbccccbccccbbbcbbbccbbabbbbcccbccccabcbcccbbbbcbbcbbbccbbcbbcbbbbaccbbbacbcbbccbbcbcccbcbccbbcccbbbbccacbbcbbccbbcccbbccbcbcccbcbcbbbbacccbabcbbbbbbabbccbbbbbbcbbbcbcbbbbbbcbcbbbccbbbccbbbbbccccbccbbbbbcccccbbccbbcccbbbbbcccccbcbabbbbcbcaccbbbbcbccbbbbcbcbbbcbccbccbccbbbcbbbcccbcccbbcbccbbccccbbcabbbbbcbcbcbbccbcbcabcbbbcbcbcbccbbbcbabbbbbcbbbcbccbcbcccabcabbcbbbbbbbcbbcbbbcbcccbcbccbbbbbcbbbcbccbbbccccbcbbbbcbccbcbbcbcccccbccccbbcbcbbcbccbbbbbbcacbcbbcbbbbbabcbcbbbcbbbbbccbbbbbbbbbcbbbcbcbcbbbbbbbcbcccbcacbaccbbbbbbbbccbcbbbbbbbbbbbbbbccbcbcbacbbbbccbbbbcbbccbcaccccbccbbbbbbcccbbbcbbbbbccbbcbbcccabbcbbcbcbbbcbcbbbbbbcbccccbbabbbbbbcccbccbbbbaccccccbccbcbbccbcbcbbbbbccbcbcbbbbbbccbcabbccbccbbcbbabccbbcbcccbbbbcabbbcbbbcacbcbbcbbbcbbbabbcbbbcbbbcbbbbbbbcbbcbcbbccabbcccbbbbbabccbccbbbbbcbbbcbbccababbcbcbbbbcbacbbbbabbbbbbacbbbbbbcbbcbcbbcbbbcbbcbbbbbaccbcbbbbcccbcbbbbbbbbabbccbbbccbbbbbbcbcbabbbcbbcbbccbbcabcccbcabbcbbabbbbabbbbcbbbabbcbbbbbccbbbbbbbbbbbbbcbbbcbbcbccabbbbbccbbcbbbcbcccbbbbbbbbcbbccbbccbcbbbcbcccbcbbbcbcbbbbcbbbbbcbacbbbccbbcbcbcbbbbcbcccbcbccbbbcbccbcbbcbbbbbccbbbbbbbccbbbcccbbbcbbcbbccbbbccbcbcbbbaccbbbbcbcbbccccbbbccbcbbbbbcbbcbcccbcbbbcbcbcbbbbbbbbcbbbcbbbbbbbcbbbbbbcbbbcccbcbbacbcbbbcbbbcbcbccccbbbbccbbbcbbbccbcbcbbbbcbcabcbbccbbcbbbbcbcccbbbccbcbbccbbbbccbbabcbccbbbccacccccbbbbbbbbbbbccbbccbccbbabbbbbcbccccbccbaccccbccbbbbbbccbbcbbbbccbbbcbbcbccbcccccbbbbbcbbabcccbbbcbbbbbcbbccbcbccbccbbbabcbbbccbabcbbbbbbbccbbcbcbbbbccbbbbcbcccbcbbbbbcbccbbbbccbbbcacbbbcabbcbcbcbbccabcbbbccbbcbbccccbccbbbbcabbcbbccbcbbcbbbccbbcbcbcbbbbbbcbbbbcacbbbbbbabccacbcacbbbbbbbccccbccbcbccbbccbcbbbbbacbacbbbbcbbcbbbcbcbbbabbcccbcbcbcbccbbcbbbcbbbbcbacbcccbbbbcbbbbbbbcbbbcccabbcbbbcbbbcbcbbbbccbbbbbbbbbbbbbbcbbcccbbbbccbbccbbccbbbcbcccbcbbbbbbbbbbcbbbbbcbcbccbabcbbbbbbcbbcbbabbbcbccbbabcbbbbcbbbcbbbbcbcacccbbbbcbbcbcbccbbcccbbbbbcbbbbacbccccbbcbcbbcbbbcbccbbcbbcbbbbbbbbbcbbccbbbaccbbcccbbcbbbccccccbbbcbbbccbbbbccbccccccbbabbcbabbbbbcbbbbbbbcbccccabbbbbbbabcccbbbbbcbbacccbbbcbbbcbbcbbcccbbbbbbccccbbbbbbababbbcabbbbbcbccabbcbacccbbbcabcbbcbacabbbcbbcbbbcccbcbaacccbcaccbbbbbbbbcbbbbbbbccbbbbbccccbbbbbcccbbbccccbcbbcbbbbcbcbbbbabcbbbbbabbccbbbcbcbccbcccbcbbbbbbbcbbbbcbbcccacbbbcbbbbbbbbcbbbbbbbbbcccbbcbbbbbcbcbcbbccbbcbcbbcbbbcccccbbbbbccbcbbbbbcbccbbbbbbbababbccbcccccbbbbbbccbcccbbcccccbccbcbccbcbbbbccbbcbbccbbccccbcbbabcbacbbbbccbcbccbbcbccbbccccccabbbbbbbbbcbacbbbbbbccbbcbbbcbbbbbbcbbbbcbbbbbbbbcccbbcbbbcbbbbbbbcccbabbbbbbcbbaccccbbbabbbbccbbbccbacbccbbcbbbbbbbbbcbbbbabcbbbbbccbcbbbbcbbbcbcbbbbcccbbcbbbbcbcbbcbbbcbbbbcbbbcbbcbbbbcbccbbbbbbbbbbcbbbbcbbcbbccbcbbccbbbcbbcbcbcbccbbcbbbbbaccccbccbccbbbbcbcbcabbccbbcbcbcbbbcccccbbbbccccbcbbbcbccbcbbbbcabcbabbbccbbbcbcbbbccacccbbbcccbcbbbbbcbccbcbcbcabcbbcccbbbcccbbcbccbbbccbbbcabbbbbbcbbccacbccbbbcbbbbbbcbcbcccbbabcbbbcccbcbcbbacccacacbbbcbbcccbcbbcbbbccbbbbccbccabcbbbcbbcbbcbbcccbcccbcbccbbcbbbbcbbcbbbbccbbbbcaccccbbbcbccbbbcbbbbccbbbbbbbbbcccbcbcbbcbbbccbcacbbcbccbabbcbcccbcccbcbbbcbaabcbcbbabbcacbbcbbccbcccbbbcbbbbcbababcbcbbccbcacbcbbccbcbbabbcbbbbbcbccbbbbccbcbcbbbabbbccbbbbbcbbcbabbbbcbccccccbbbbbbbcbcbccbcccacbbbbbbbbbcbabbbccbcbbccbbabbcbbbbccbbcbbcbbbbbcbcbbbbccbbccbbcbbccbbbcbbbbbccbbcbcccbbccabbcbccbcbbbbacbbbbbcbcbbbbbcbbbbbbbbbbbccbbbcccbbbbbbbbbcbbbcbbcccbbcbbbcbcccbcbbbcbabbabcbbcbcbbbbbbbbbbccccbbcbbbabbcbbbbccbcbbccabccbbcbbbbbbbbbbbcbaccbccbcbcbbbbacabbbbbabccbbccbbccbccbcbbcbabbbcabbbbbbccbbcbcbbbbcbbbcccbbbcbbcbbbbbbcbcbbbbbbbcbbbbccbcbbbbbbbcbbbbbbbbbbccbbccbbbbbbbbbccbcbbccccbbccbbbbcbbcccbcbcbbcbbcccbbbbbcbbbabccbbbcbcbbbbbcccbbccccccbbbbbbbabbbbbbbbbccbcbbbaabcbcccbbbbcbbbbccbbcbbccbccbcbcccccccbaabccbccbbbbbbcbbbccbbcbbbcbbbbcccbcbbbcbcbcbcbbbbbbcbbbbcbbbbbbbcbccccbbbcbbcbbabcccccbbbcbbbbcbccacbcbbbcccbbbcbccbcbcbbcbcbcbccccbcbcbcbcbbbcbccbbbcacbbbbccabbbbcbbbcbbbcbcbbbbbbcbbbbcbbbccbcbbbcbcbcbcbbcbbbcbbcbcbccabbbbcbccbbbbbbabbbccbcbbccbbcbbcbbbbaccbbbbcbccbbbbcbbcbbcbcacbbcbbcbcbccbbbbbcbbcbbcbbbbbbbabbbbcbcbabbbbbbccbcbbcbbbcbbbccabccbcccbcbbbcbbbbccbcbbbbbbbbbbcbbccbabbbbbbcacbcbbbbbbbbbcbbcbcbcbbbcbbcbcbbbbcccccbbbbabbbbcbcbbbcccccbcccacccbcbbaccccbbbbbbbbccbbccccbbabbbbbbcbcbbbbbbbabbcbcbbbbbbcbcbbbbbcbbbcbbcbccbbcccbcbbbabcbacbccbbcbbbccbbcbbcbbbbbbccbcbabbcbcbbbbbcbcacbbcbbbbbbcbbcbcccababbcbbbbbbbbbbbbbbcbbccbccbccbcabbbbcbcccbbbbbccbccbcbbbbbbbcbccbcbcbbbcbbbbcbcbbcbbbbbcbbbcbccccbcbbbbcacbbbbbbbbccbcbbcbcbbbccbbcbcbbcbcbbbbbcbccccbbccbbbbccbbbbbbcbcbcbbbcbcbbcbbbbbbcbbbabbcbbbcccbcbbbcabccbbbbabcbbacccbbccbbabbcbcbbccccbbcbccbcbbbbbbcccbcacbbbbbbcbbcabbccbbccbbcbbbbacbbbbbcbbbbbbbbccbbbcbabbbcbbbbbcccbbbbbabbabccccbbbbcbbbbbccbbcbcbcbbbbbbbbbbcbbcbbcbbcbcbccbccbcbbbcbbbcbcccbcbcbbbbcbccbbbbbbbbbbbcbbcccbbbbcabccbcbbbcbbbbcbcbbabbbbbccbcbccbbccbbcbccccbbbacbbccbbbbcbbcbcbbbbbbbbccbbbbcbcbbcbbbbbbbcbbbccbccccbcbbbbbcccbcccbbbccbbbcbcbbbbbbbbbbcbbbcbbcbaccbbcbbbbccbcbccbcbcbccbbbcbbbbbbbcbbbbbbcccbccbcbcccbcbccbbbcbbcbbbcbbbccbbbabbbcbbbbbbbcbcbbcbbcbcccccabbcccbcccbbbbbbbbccbbbbccbbbcbcbcbcbbabbbcbbbcccbbbcbbbbcbbbbbbbccccbbcbcbcbbccbccbbbccbbbbbcbbccbcabbbbbcccbcbcabbccccbccccbbcbbbabcbcbbbbbbbccbbbabccbbbcbccbccbbbcbbbbccbbccbcbbbbbbbbcbbbbbbbbcbbbbcbbccbbbbbcbbcbbbbbbbcccccbbccbbbbbbbcbbbbbbccbcbcbcbbcccbcbabbcbbbcbbccbcbbcabbbbabccbcbbbbbbcccbbcbccbbccbbbbbbbcccbcccbbcccbbcbbcbcbbcbcbbbcbbbccbcbbcbbbcbbacbbcbcbbaccbbbbbbcbcbcbacbbbbbccbcacccbcccbbbbbbbcbcbbbbcbcbbbbbbbbcbbbcbcbbbbbbbbbcbbbbccaabbbccbbcbccbbcbccbbccbcbcbccccbbbbbcbbccbbabbcbbbbccbbcbbcaabccbbbbbcbbccbbbbbbcbbbcbcbbbcccbcbbcbcbcbbcbbccbbbbcbbcbbcbbbccbbbbbcccbccbcbbcbbbcabbbbbbbbcbbcbabbbcbbbcbcbbbbbbcbbccbbbbacbcbacbcbcbcbbbcbccbcbbbbccbbbcbbbcbbabbccbcbbbbbccbcbbbbbbcbbbccbbcbcbcbcccbbbcbccbbbbbccbccbcbacbccbcbbbcaccbabbbcccbcbccbbbbbbbbccbbcbbbbbbbcbabbbbbbbcbbbbccbccbbbcccbcabbbbabcbccbbbbbbbcbbabbbcccbbccbbbcbbbbbbbbbbcbbcbbccbcbcbcbccbbccbccbbbbbbcbbbbbbbccbcbcabcccbcbccbbaacbccbbcbcbbbbbbbbcbbbcbcbbcbbbbbbccbbbcbccabbbcbcbbbbbccbcbcbcbbbcccbcbccbccbbbbbbbcbcbccbbcbcbbbbcbcbbccbbcccbbcbbcacbcbacbabbbbbbbbabbbbbbbcbabcbcbcbbbabacbbbbbbbcbbcbbcbccbcababbbcbbbccbbbbbbbabccccbbcacabcccbcbbccccccbbcbbbbaccbbbbbcbcccbccbcbccccbccbcbcbccbbcbacbbbbcbbcabbbcccccbcbbbcbabccbcbcccbbbcbbbbcbabcbbbcbbcbbbbbbabccbabbbbcbbcbbbcbbbbbcbccbccbbbbccbcbbccbbacbbcbccbbbbbccccbbacccbbcaccbbbcbcbbbbcbbbcaabbcbccabbcbbbcbbcbccbbbbbbbcbbbbbbbbbbbbbbcbccbccbcbbbbbbbbbbbcbbbbbcbbbbcacccbbbccabcccbcbbbccbbbbbcbcccbbbbbcbbcabbbbbcbbbbbcbbcbbbcbbcbbbbccbcbbbccbcbbcbbccbccbbbcbcabbbccbbcbbcbbbbbbabbbbabbccccbcbbccbbccbbbbbbbbbbbcabbbbcbbbcbbbcbbcbbbbcbcbcabccbcbbbcbbcbcbbbccbbbbbbbbbbbcbbbbbbbbbcbbcbbbbbcbbbbbbbccbbbbcbbbbbbccbcbbbccccbbbcccbcbcbccbbbccbbbbbbbbbbacbbbbbcbcaccbbccbccbcbcccbcbccbbbbcbbcbbcbbbccccbbccbcbcbbbcccabbbbcbcbcbbbbccbbbbcbcbcbccaccaccbbbbbbcbbbbcccccbbccbbcbbcbcbbbcbbcbcbbbcbbbccbbbbcbcabbbbbbcbbcccccbcbcccbbbbbbcccbbbcbabbbcbbbbbbbbbcbbbbbbbcbbcbbcccbbbbbbbbbbbbbbcccbbccccbbbccbbbcbabbbbcbbcbcccabbbcbbbcbccbccbcbbbbbbccbbcacbcbbbbcabbbbcbbbbbccbccccbcbbbbbbbccbbbccbbbcbbbccbccbcbbbbcbccbbcbbbcbbbcbbbbbbcbbbcbbcbbbbbccbbabcbccabccbbcbbcbbcbbbcccbbbcbbcbccccccbbbcbbbbbcbbbbcbccbbcbbbcccbabbcbccbcbbbbbbbcbcbccbbbbbbcbbbbbbbcbacbbbbcbabcbbcccbcbbbcbcccbccbcbbccbabbbccbbccccbcbbbbcbcbbcbbbbbbbccbbbcccbccbbbccbccbbcbbbbccbbbbcbcacbbccbbbcbcbbccccbcbbcccbbcbcabbbbbcbcbbbabbbcbcbccbbcbbcbbccbbbbbccbccaccbbbbbcbbbbcbbbbbbccbccbbbbbcbcccbbccbccccbbcbbbbbbcbccbcbbbcbbcbbbbabbccbcbcbbbbbbbbbbccbbbbbccacbbcccbccbcbbbbbbbcacbcbbbcbbcccbcbbbcbbcbbccbbbbcbbbbccbbcbcbbcbcccbcacbbbbbbbbbccbccccbbbabcccbbbbbbabccbbbcbbcbbbcbbcbbacbbbcbacbbbbbbbbcbcbccbbbbcbcbbacaccbabbcabccbccbbcbccbacbbbcbbbbccbbbbbcbbbbbccbcbccbcbbcbbcbcbbbccabbbbcbbbbbbbbbcbcbccbbcbbbbbabcccbbcabcbbcbbcccbccbbccbcbbbbbbbbbbbcbbbccbbcbccbbbbcbcbcbbbbcbbbbbccccabccbbbbbcbbbccbbbcbbbbacbcbcbcbbccccbbbbcccacbbcbacccbcccbcbcaccbcbccbbcbbbbbbcccbbbbbbbbbbbbbccbbbbbcbabcbbbbcccbcccccbcccbbbcbbbcbbbbcbabbccbbbcccbbbcbbccbbbbcbbbbcbcbbcbccbbbbbbabbbbcbcbabbcbbbbbbbbbccccbbcbcbbbbbbbcbbcbbbbbbbbcbbcbbcccbbbcbcbbcbbccbbcbabbbabccbcbbcbbbacbbbccccbbbccbbbbbbabcbbbcbabbbbbcbbbbbbcbbbcbbbcbbbbbbbbcbbbbbccbbcbbcbccbbbbbbbbbbcbbbbcbccbcbccbbbcbbcccbbcbbbbbbbbbbcbcbbcccbbbbbcccbcbacaccbbcbcbcbaccbcabcbccbbcbccccbcbbbccbbcccbbbbbbccbccccccbccccbcbbbcbbcbcbccbcbbbccbabbccbbbbbcccbccbcbccbbcbbbbbccbcbbcbbbbbbbbbbbccbbccbacbbccbbbbcbcbbbbcbbbbbbbcabbccbbcbcbbbbbbcbcbbccbbccabbbcbacbbcbcbbacbcbbcbbcccccbbbbbcccbbcccbbccbbbcbbbcabccbbbcbbbbbccbbbbabcbcaabcbbcbbbbbcbcbbbbcbbcbbbbccbcbcbbcbcbccbbbbbbbbcbcbbbbbbbcbcbcbccbcbcbbcbabcbbbbccbbbcbbcccbcbcbccbbbbbaabccbbcbbccbbbbbcbcbbbcbbbcbbbbccccbbbbccbbbbbbbbccbcbabbbcccbcbcbbbabbbcbbbbcbccbbcccbcbccbcbbbcbcbcbcabcbbccbbcabbcbcbbbcccccabbabbabccbccbcabcccbcbbbbcbcbbbcbbbbabbbbbbcbccccbbbbbbcbbbbbbbcbcbcbabcbccbcbcbcbcbbbbbbcbccccbcbcbbbbbbabbbbacbbbccbccbbcbbbccbbccbbbaccbbcbbcabcbbbbacbcbbcbbcbcbbbbbbcbbcbbbcbbbcaccbbcbbbbbccbbcbbbcbcccbcbbbcbbccbacbbbbabbccbbcbaccccbbbbcabbcbbbbbbbbcbbcbbbccbcbabbccccbbbbccbbcabbaccbcccbbbbcbcabcccabcbababcacbbbcccabccbbcbcbbbbbbbcccbbbccccacbbcbbbcbbbcccbccbbbbbcbbbbcbcbbccccbcbbcbbbcbcbbbbbbbbbbbbbbbbcbcbbccaccbbcbbcbbbbcbcbcbbcccccacbbbcbbbcacbcbbbcbccccbbbbcbcbbbbcbbbcbcbcbbbcbbbbbcbbbbccbbccacbbcbbbbbbccbccbbccbbcbbcbbbabbbbbcccbbccbcbbbcbcbccbbccbbbbcbcbbcbbbbbaabccbbbccbcbbbbbabacbbbbbccbbcbcbcbbbbbcbcbbbcbbcbcbbbcbcbacccbbbcbbbccbbccbccccbcbbbccbbbbbbbcbbbcbabbbcbbccabcbbccbbcbbbbbbccbcabbbbbbbbbbcccbcbbbbcccbbcbcbccbbabbcbbbccccbbbccabbcbcbbbcabbbccbcbccbbcccbbccbbbbbbcbbbbbbbcbbbcbbcbbbbbcbabccccccbbbbbcccbbbccbbccbabbabcbbbcbbabbbbacbbbbcbcbbbbbccbbbcbbbbcbbccccbccbbcabcbbacbbbbbcccbbbcbabcbcbbcbbccbbcbcccbbcbbbbccbbbcbcccabbcbcbbbbccbbabccbcbcbbccbbbbcbbbbbbcbbcbcccbcbbccbbbbbbbbccbabccbbbcbbacabbbcbcacbbcbbbbbbbbcbbcccbcbbcbbbbbcccbbbcbccbcbbbbcbbbbbaccbbbcbcbbbbcbcbbbcccbcbcbbbbbbcbbbbbcbcbcbbbbcccbcbbccbbbbbbabcbbbccbcbcbcbcbbbcabbbbbcbcbccabcbbbabcccccbbabcbbbccbbcbbbbbbbbbbbbbcbbbbcbcbbbccbcbcbbbbbcbbbbcbccbbccbbcbabbbbccbccbbccbbbcbbabbccbbccbcbbbbabcbbccbbbcbccbabbcbbcbccbcbccbbbbbcbcbbbcbbcbbcccbbbbcbcababbbbcbabbcbbcbcccbaabbbcabbcbcccbbbbbccbbccbbbbcbcbbabbccbbbccbbcbcccbcabcbcbbbbababbbbccaccbbbccbccbbccbbcbbccbbbbccbbbcabcbbbcbbccbbcbcbabccbbccbbbbcbbbcaccbcbcccccaccccccbbcbcbbbabcbabbcbbbbccbcbbbcbbbbbcbcccbbbbccbbbcbbbbccbbbbbcbbbbbbccbbcbabbbabccbcbbcbbcbbbbcbbbbbbcbccbbbbccbbcccbccbbbcbbbcbbcbcbbbbbbcbbbbcbbbaccbbbbbcbccbbcbabcbbbbcbbcbbbbbcbcbccccbbbbbbbccbbbbcbaccccbcbbababbbbbbbbcbbbbccccbbcbbbbbbbcbbabbbacbbbbcccbbbcbcccbcccbbccbbbbbbcbcbbbcbccbbbbbbcbcbcbbbcbbbcbbbbcbbcbbacbbbbcccacbcbbcbbbcbbbbbbcccbbcbbcbbcbcbbccccbcbccbbbbbcbcbcccbbbbacabbcbabcabbbcbbabacbbbbbcbcbbbcbbaccbbabcbbcccbbbcbbcbbbbbbbbacbbcccbbbbbbcbcbbcbbccbbbccbcccbabcbbcbcbbccbbbccbcbbbcccbbbcbbbbcabbcbbbcbbcbcbbcbbbbcbabcbbbccbcbcbbbcbbbbbcbbbccbbbcbbbbbcbcbbccbccbbbbbbbaccbbbbbbcbbbbbcbbbbccbbbbbccbbbccccccbccbbbbbbcbcbbcccbcbbbcbcbbccbcbcccbbccbbbbcbccccbccbbcbbbbbbbcabcbbcbbbbacbbbbbcbbcbcbbbbbbbcbbcbccbbbcccbbcccbbbbbbbccbbbbcccbcccbbbcbbabcbbcbbcbbcccbacbcbbbbbbbbbbbcbcbcbcaccaabbbbacbbcccbabbbbacbbccbbbbbbbbcbbbbbcbcbcbbbccbbbcccbbbbccbbbbcbbbbbcbbabbbbcbbcbcbbccbcbcabbbcbbbbbbabbbbacccccabbbbcbbbabbccbcbacabbbcbcbbaccbbcbbcbcbccbbcbbccaccbbcbbbcbbbcbbacbbccbbbcbcbccbcccccbbbbccbbabbcbbbcacbccbcbcbbcbbccabbbbbbbbcbbcbbcbcbbcbbbbbccbbbbcccbcabbbbcabbccbcbbbcbcbbcbbbbbbbcbcbbcabbbbcccbbbcbcbbcbabcbbcbbbccbcbcbbbcbbbbbccbbcbcbabbbbccbcbbcbbbbbbbbbbcbbbbbbbbbbbbbbaccabbcbccbcccbccbcbbcbbbbbcbbbbcbbbbbcbcbcbbbcbcccbbbbbcbbbcbcbcbbbbcccbbbbbbcbbbcbbbbcbcbcccbbccbbbcccbbbbbcbbabbbcbbbcbbbcbbcbbbbbbbbcccccccbbccbccbbbacbcbbcbcccbcbbbbcbbbcbbbbbcabccbccccbbcbbbccbbcbccbbcbcbbabcbbbbbbbbcbbbbbcbbcbbcbbbcbacbbcbbbccbccbcbccbbbcbcbccccbccbbbbbbccabbbbbcbcbaccccbbbbbbcbbacbbaccbccbcbcbbccbbbcbbbcbabbbbcbcbbbcccbcbbbbbcccbbbbbbbbbbcbcccbbbbcbaacbbbcabcbbbbcbcbbbbcbbbbbbcbbcbbbbbbccbbbbbbbbbccbbbcbcbcbcbccbbbbbcbbbbbbbcbbcaccbbccbcbcccbccccccbbccbbcccacbbbccbbbbbbacbbcbbbbcbcccbbbbcbcbbcbbbbbbbbccbabbbbbabccbbcbbbccbbbbcbccbbbbccbccbbbbbbbccbbbcbccbcbbcccbcbbbbabccbcbcbbbbcbbcbbbbccccbbbccbccabcbbcbcbbbbbcbbcbbcbbbcabbbbcbcbbbbbccbbbabcacbbbbbbacbbbccbbacbbbabbbbcbbbbbbcbbbcbbbbcbcbbcbcbbbacbbbacbcbcbbbbccbbcccbbccbbbcbacbbbbbbccbbbbbbbbbbcbbbccccbbbbbcbbbbcbbbccbcbbbbccacbcbbbcabccbcbbcbbbbcbbbcbbacbccbbbbbccbbcccbbbbccccbbcbbccbbcbcbbcbbbccbbbbbbcbcbcbbbbbcbcccbbccbcabbbcccbbbccbbbbcbcccbbbccbbcbcbbbbbbccbbacbbcbbbababbbcbbabbbcbbbabbbcbbbcbcbbbbbbbcbbccbbcbbcbcbcbbacbcccbbbbbbcbbcbabbcbbacbccbcccbbbcacbbbccbbbcbbbcbbccbbccbbccbbbbbcbbccbcbcbbbccbbbbccccbbcbbbcbcabbbcccbbbbabbbbbbcbbcbcbbbbccbcbcbacabbbbcbccccbbabcabbbbcbbcbcbcbbbbcbbbbcbccacccccbcbbccabcbcbbbbcbabcbcbccbbbcbccbbbccbbbbcbbbbbbccccbbabcbccbbccabbbbbbabbbbbcbcbbbcabcbcbabbcbbcbbbbbbbcbbbbbbbbcbcbbbcbbbcbcbbcbabbbbccbbccbbbbcbbcbbbbbcbcbbcbbbcbbbbbccbbbbbcbcccbbcbbbccccbcccbabcbbcbccbcbccbcbbcbbbcbbbcccbbbcbbbbbcbccbcbcbbbbcbbbbbcbbbbbcbbacccbbcbbcbbbbbbbcbbbcccbcccbcccbbcbbbcbcbcbcbccacbbbccbcbcbcbbcbbbcbcbbbbbbbbcbbbbcbbbbbbbbbcbbbbcbbbbbcbbcccbbcbcccbbcbbcabcbbbbbbbbbcbbcbabbbbbbcbbbbcbbcbbcbbcbbccbbccbbbabcbbcbbbbccbcbcbcbbcbbbcbbccbbcbbcbcbbbbbbcbbcbbbcbbbbcbbcbcabbbccbcccbcbbcccccbbbbbbbbbcbcbbbbbbbcbbbcccbbcccbbccbbcbccbbbbbccbbbbbbcccbcbbcbcbbcbccbbbbbbbbabbbbbabcbcbbcbccccbacbaccbcbbcbcbccbaabbbbbcbbbcbcbcbbccbbbbbbbbbbbbbcbcbcbcbbbbbccbacbbbbbbbacbbbbcbcbbcbbccbbccbcbcbcbabbbbabcbbbcbbbbbbccbbbaccbacbbccbbcbcbcabcbccbbbcbbcbbbccbbbbbbcbbcbccbcbcbbbbbbbbbbcbcbbbcccbabccabbbbcccbbbacabbcbbcbcbbccbcbccbbccbbbbcbbbcccbcbbbbccbbcbbbbbbbbcbabcbcbbbbcbcaccccbcbbccbcbccbbcccccacbacbbbbbcbbbcbccbbcbccccbbbcccbbcbbbbbbcbbccbbbbbccbbccbabbbcbbccacbbbbbbbacbcbccbbbccbcabcbbcbaccbbbbbbbbbabbcbbbcaccbbbbcccccbcbbbbbcbbbcbbbbbbbbbbbccbabbcbbccbbcabcbbcccccbcbbcbbbabbbbcbbbbcccbbcbacbbbcbbcbbbbbbbbcbbcbbbbcbbbbbcabcbbbcbbcbbbcbbabcbbabcbcbcbbbbaccbbbbbbbbbbbccbbbcbcbbbbbbbcbbbcbbbcbbbcbccbbbbbbbbcbbcbcccbccbcbbbbbccbcccccbbbcbcbbbbbbbbccbbbccbbbbccbcbbbbcbbbbbbbcbcbbbbbcabbbbcbbbbccccbbbcbbbacccbbbbbcccbbbbbbbbbbbccabcbbbbbcbbbbcbbbcbbbccbcbbbbbbbababbcbcbcbcbbbbbbbbbacabcbcbbcccbbbbbcbbcbcbbcabbcbcbbbbbbbccbbbcbccbbbbacccccabcbbbcbbcbcbbbcbcbbbbabbcccbbaccbbbcbcbbcbbbabbbcbbbbccbbcbcbbbcbcabbbabbbabbbcccbbccbbbabcbbbcbbcbbbabbaccbccbcbcbbbbbbcccbbbcccccccbbcbbbccbbbcbccbbbbbabcbbbcbcbcabbcbbbbacbbcbcbcbccbbbbaacbbbbabbabbbbccccbbbbbbbcbbbcbbbbbcbbabbcbbbcbcbbcccbbcbccccbbbbbbbbccbbcbbcbbcccbbbcbbbbcbcbbbccbcbccccbbbbbbbbccbcbcbcccbccbbbbbbbcccbccbbbcbccbcccccbccbbccbcbaccbcccbbcccabcbbbbbbbbacbbbbcccabbcbbcbccbbcbcbcabcbbbbacbbbbcbbbbbbcbcbbccbcbbbbcbbcbbbcbbcbcbbbbcbbbcccbccbcbbbbbbbbbbcbcbbccbbbcbbbacccbbcbcccbcccbbbcbcbbbacccbcbcbbbbbbbbbbbbbbbcbbbbbbbccbbbbbbbbacbccbbcbcbcababcbcbccbbbcbcbbbbbbbbbcccbbbbcaccbbbbbbbabcacbbbcbbbcbbccbccacbcbccccbccbbcbbbcabcbbbcbbbbbbbaabcbbcbbbababbbbbbbbbbcbbccbcbbccbbbbcccccacbbbbcbbcbabbbbbccccababccccbacccbbbbabbbcccbbbbbaccccbbcbabcbcaabcbcbbbacbcbccbcbbbbabbabbcbcbbcbcbbbbbbcbbbcabccbbacbbcbccbbcbccbbbcbbcbbbbacccbcbccbbbcccbccbbbbabbbbbbbbbbcbbbbbccccbbbcccbbbbbbcbbbbccbbbbcbccacbcbcccbbcbcbbbcbcbcbcbccbccbbcbbbbcbcbbbbbbbbbbabccccbbbbbbbccbcbbbcbbbbbcbbbccbabcccbbbcccbcbbbbbcbbcccbbcbbbbbbcbbbbbbbccbcbbcbbabccbbbbbbbbbcbcbbbbcbccccbbbbcbccbbbbcbbcbccccbbbccccbbcbbcbccbcbcccccbbcbbbbbbbcbbacbabbbcbbcbbbbbbbbcbcabbbbbcbbbbbcbbbcbbbcbccbcbacbbccbbcbbcbccccbbcbcbabcbccbcbcbccbbbbbbbbbbbbbcbcbbbbcbbbbcbbbcbbcaabbbbbbcbcbbccccbcbbbbcbbbbbcbcbbbbcbabcbbbcbbbcbbccccbbbcbccbbcabbbbbbcbbccbbcccbcbccbcbbbcbcbabbbcbbbbbbbccbcbbbbaccbbcbbcbccbccbbcabcccbabcbccbccbbbcbbcbbbcbbbccbbbbabccbcbcbbacccbcbbcbacbbbcccabcbcbbccbabbbbbccabbbbbbbbbcbbbccbcbbccabccbbabbccccbbcbccbbcbcccbbbccccbbbbbbbbcccbbccbbcbbbbbbbbbbbbbcbcbcabbcbabbbbcbbbcccbcccbbbcbcbcbccbcbcbbbcbbbbbcbbccbcbbcbcbbbcabbcabbcccbbbcbbbbcbcccbbbcbbbcbccabcbbbbcbbbbcbbabbbbbcccbcbbbbbcabbbbccccbcbcbbcbcbccbbccccbcbccbbbcbcbcccbcbbbbcbbbcbcbbbbcbabbbbbbbbbbbbcccccbbbbbcbbbbccbbccbcabbbbbbbcbcccbbbcbbbcbcbcbcbbcccbabbcbbbabbbbcbcbcbbbbbbcccbcbbbcbbbbbbcbcaccccccbbbbbbccbbcaccabbcbbcabbbbcbbaccbcbbbcbacbbbcbbbcbcccbcbccbcbbbcbbbbbcbcbbcccbbcbbbbbbccbbcbccbccbbbcbcbbbcbbbbbbcbccbbbcbcbcbbcbbbcbbccccbbbcccccbbccbbbcbcbabbcbbcbccbccbcbbbbbbbbcccbcbbbbbbcbccabcccbcccbbbbcbbbabbcbcbbbcbbbbbbbbbbbbccbbccbbccacccbbccbccbbcbbbbcbbcaabbcabbbccabcbcbbbbcbcbbbbccbbbbbbbbbbbbcbcbbcbcbbbbbbcbbbccbcbbbcbcbbbbbbcbbbbabbabccccbbbbcbbbcbcbbacbcbbccbbcbbccbbbbbccccbbbbbbbbcbacbcabbccbbccbbbbccbcbbcccbccbbcbbcbbbccbbbbbcbcbbbcbcccbbccbcbcbbcccbbbbcccbbbcbbcbbcbcbcbbcbbbbbccbbcbbbcccccbbbcbcbccbcbccbabbbcbcbbbbbbbcbbbbbcbbbbaccbbbbccbcbacbbbabbccbcbbbccbbcbcbbbcabbbbcbcbcbbbccbbbbcbcbbbcbbbbbacbcbccbbbbbbcccbcbbbbabbccbacbbcbbbccbcccbacbbbcbccccbbbbbbbcaccbcccccbbbbbcbccbbbbcbcbbbbccccabcbbbbabcbbacbbcbccbcbcbbbcbcbccccbacbbcabcbcbbacbccbbcbbbcabbbbcbbbcbbbcbbbcabacbcbccbcbbbcbbcabcccbcbbcbbcbbabbcbbbcbbbbbbcbbacbcbbbbbbacbbcabbbcccccbcccbccbbbbbbbbcbcbbbccbcbbbcbbbbbcbbcbbbccccbbbbbcbbbbbbbcbcbcbccbbbcacbcbcbbbcccbbccbcbbbbcbcbbcbccbcabbcccbbabbcbcbccccbabbbccbbcbccbbbbbcccbbbbbbbcbbcbcbbbbcccbbbbcbbbcbcababbcccbbcbbbcbbbcbbbbcbcbcbbbbccabbcbbbcbbbcbcbbbcbbcbbcbcbcbbbbbbbcbcbbbcbcbbbbbbcccccccbcbbcbbbbbbbbcbbbcbbbcbcbbcbbbbbbccccccccbabbccbbbbcbbbbbbbcbbcbbbbccbbbbbbbbbaccccbbcbaabbbccccbbbcbccccbbcbccbbbbbbcbbbcbbcccbbbbcccccbbcbcbbcabbbcbcbbbbbbbbbbbcbbcbcbbcbbabccccbbbbbbcbbcbcccbbbbccbcbcbbbbcbbcbcbbccbcbbcbcbcabccbcbbcccabbcbbcbbbbcbcbccbbbbbcbbbccbbbbbbabcabcccbcbbcccccabbbbbbcbcbbcbbbbbbbbcbbbbbcbcbbbbbbbcbcbcccbcbbacbbbbbcbcbcbbbbbccbbbcbccbcbbbbabcbbbcbbbcabcacbccbbbaccbbbcbcbbbbcbbbbccbcbcbbbcbbcccbbbbbcbbbcbccbbccbbbbbccbcbbbbbcbcbcbccabbbbbbccbccbcccbbccbacbcccbcbbbcbcbbbbccbbcbbccbcbcbbbbccbbcbbcbcbabbaccabccbbbcccbbbcbbcccbcbbbcbcbcbcbbcbbbbccbccbcbabbcbcbbcabbbbbbbbcbbbcbbcbbbbbbbccbbcbbbcbbbcbbcabbbcbbbcbbbbabbbbccbccbbcbbbbbbbbaccbcbbbbbbbccbcbcbbacbbacbcabcbacbbbbbbcbbbccbbccbbbcbabcbbbcbbacbbbbcbccbabbccbbbbbccbbcbcbccbbbbbbcbabccbbcbbbbcbbbbbbccccbbbcbbcbbbccccbbabbbcbbcbcbcccbbbccbbcccbcbbcbccbbcbbabcabcbcccccbacbbccbbcbbccabbbbbcbbcbbbcbcaabbbbcbcbbbcbbacbcbbbbbbbbbcbcbbbbbcbcccbbabbbacbbbbbbbbbbcbbcbbccbcbbcbbccbccccbbbbbbcbbabbbbbbbbbcbbbcbbbcbcbbccbcccbbbbbccaaccbbbbcbcbcbbcbbccbbbbbbccbccbcbbbccbbbbbbbbbbcccccbbcbcbbccbbcbcbbbcbbbbbbbbbbcbbbabbcbbbbcbcbbbbccbbccbcccbbcbbcbbbbbbbbbbbcccbbbcbbbccbccbbbbcccbbbbbbcbcbbbccccbbccccbbbbbbbbbbcbcbbbbcccbccbbbbbbbccbccbbccbbbcbcbbacbbbcbccbbcbcbbccbccbbbcbbccbbbbbbccbcbcbcbcbbbcbbbbcccbbbcccbbbcbcbcbcbbcbcbbbccacbccbbbbbbcbcccccabbbbbbcbabbcccbbbbbbbccbbbcbbbbbccbccbbcbccbbbbbcccbbacbcbbbbccbbabbccbcaccbbbbcbbcbbabbbbcbcbcbacbbbbabcaccbcbbbcbbbbbbbccbbbbcbbaccbacbabbcbcbcbbccbbccbbbcbcbbbbbccccbbbbbbcbcbcbbbbcccbcbbcbbabbcbbcbbcbcbcbbcbcbbcbabbbbbbcbbcbcacccbbaccbcbbbbbbcbbbcbbbbbcbbbcbcbbccbccbbbcbbcbcbbbcccbbcbcbbcbccbbcbcccccbbbbbcbbbbbbbbbbbbbbcbbcbcbbbbcbccbbcbbbbbbbcbbcbbbaccbcbbcbcbbbbbbcbcbcbbbcbbbcbbcbcbabbabbccbbcbcbbbbcbccbcbcbcbcbcbccbbcbcbbcccccbbbbbbcbcbbbabcbbbcbbbbbcbcbcccbbcbbbcbbbbbbabcbabbbbccbbbcbcbcbcbbbbccbbbbbcbbcbcacbccbccbcbbcbbabbbbbabcccacccbbbbcbbbcbbbcbabcbcbbcbabcbbccbcacbbbbbbbbbcbccbccbbbbbccbcbbccbcbbbcbbbbbcbcbcbbcbbbbcbbacbcbbbbbcbcbbbaccbccbbbcbcbccbbbcbbcbbbccbbbcccbcbacbcbbcbcccbaccabcbbcbccbbbbcabbccbbbbbbcbcabbcbbcbbccbccbbcbcbabccbbcbbcbcbbbbacbcccbccbbccbccbabbccbcbccbcbbcbcbbbbbcbccbcbbccbbabbcccbbbbbbbcbccbcbabbcbcbbbbbbbbbcbbbbbbbabbbbbbbbbccccbbccccbbbbcbbbcbbcccbbcbbbbbbccbcbcbbccccbbacbbcccbbbbbbbbbbbcccbccbccbbbcbbbbbbabbcbbbbcbcccbcbbbbbbbabbcacbbbbabbbbbcccbbcbbcbbcbbcbcacbabbcbbcccccbbbbcbcbcbbcccbbccccbbcccbccbbccabcbbbcbbacabcbcacbbcbbbbbacbbbbcbccccbbbbbcccbbbcbbcbcccbcbbbcbbcbbbbbbbbbccbbcbcbbbbabcbcbabbcbbcbcbbccbbcccbccbbbbcccbcbbbbbbcbbbcbbcbbbbbbbcaccbbcbbcbcabbbbbbbbbbbcbbbcccccbabbccbbbcbbccbbcbbcbbbccbbcccabcbccbbbbcbbbcbcbcccccbbcbbbcbbcbcbbbabbbbccbbcbbbcbbbbbcbcbbbcbbbbcbabbcbccbcbbbccccbbcccbccbbbcbbbbbbbbbbccccbbcbccbbcbbbcbbcbbabbbbbbcccbbcbbbcbabbbcbcbbcbabcccbcbbcbcbbbcbbbacbbbbbbcbbabcbbbbbbbbcbbbcbcccccbcbccbbbbcababbcbbcbbbbbcccbbbcabbbcbccbbbcbbbbbbbbbabbbbcbcbbcbbbbcbbbbbbbacbcbbbccabbbbbbbccbbcbbcbbcccbcbbbcbbbbcbbbbbbcbcbcbbbbbcbcccbbbcbbbccbbcbcbbbbccbbccbcacbccbbbcccbccbbbbcbbbcbbbcbcbbbbccbcccbcbbbccbbcbbbbcbcbbbccbcbbcbbcbbbbbcaccabcbbccbbbcbabbbcbcbaccbbbacbbbbbcccbbcbbbcbacbbbbcbccbbbbcbbcbcccbbbbbbcbbcbcccbbbcbbcbbcbcbbbbccbbbbbbcccccabbbccbabcbbbcbbcbbbccbbccbcbbcbccbbcbbcbcbbbbbcccccbbaccbbbbbbbbcbabbcbcbbcbbbccbbbbbcaccbbbccbbbbcbcbccbbbcbcbabccaacbbbbbcccbbbbcbbbbbbcbbbbcbccbbcbbbcbcbbccbbbbbbcbbbbcbbbbccccbcbbbbccbccbbbcbbbcbcccbaccbcbccbbcbbbbbbbbbbcabcbbabbbcbccbbacbaccbbbcbccbbbcabcbbbbcbbbbacbccacbbbbbabbbcbbbcbbbcccbbbcccbcbbcbcbbbbbcbbbcbcabbbbccbcccbbbbbcccbcccbbbbcbcbccbccbbcbbcbbbbccbbcbccbbbcbccbccbacbbccbccbbccbbcbbcbcbbcabbbccbbbbbcabccacabbbbccbbbccbbcbcbbccbbbbbbbccabbccbbcbccbbbbbbbabbbbbccccbcbbbbbbbbcbbbbcbccbbcabcbbccbbcbbbbcbbcbbbccbcbbbcbbbccbbbccccbcbbabbbbbcbcccbbccbbbccbbccabbcbbbbbaccbccbcbabbbcbbbcccbbcbbcbcbcbcccbccbcbbbbbcbbbbbcbcbcccbbabbbbcbcbbbbbcbbbbccbbcbbcbcbcbcccbbbbbbbcbcbbaccbbcccbabcbccbbababccbbbbabbcbcbccbbccbbbbcbcbcbbcbbbcbbbcbbcbbcbbcbbbbbccbcbbbbbbccbbbbcbcacbbbbcbcacbbccbbbcbccccbbbbccbcbbcbccccbcbbcbcbbbbccbbcabbcbccbbbabbcbbbcbbccbbbbbbccbbbbccbbbbcbcabbcbcbccccbabbbbbcbcccbcbbbbbccbbcbbbcbcbbcbbbbbbbbcbbbbabbcbbbbbbbccaccbabcccccbcbbbbbcbbbcbbbccbcbbbbbbccbbbbcbbabbccbbbccbccbbcbbbbcbbbbbbbbbcbbbbaccccbbbbcbbbcbbccbcccbcbbbbcbbabbbcbbbcbcbccbcbcbbbbbbbbcbbcbcbbbcbcbbbccbcccbbbcbbbbcbbbcbaccbbacbbcbcbbbbbbbbbcbbcbcbbbbacbcbbbccbbbabcbbbbbcccbcbbbccbbbcaccbcbccbbbcbbcbbccccbbacbcbbbbbbcbcbacbcbcbcbcbbcbcbcbbbbcbcbbbcbcbcbbbbcbbbbaccccbcabbbcccaccccbbbbbcbbbbccbbbccbcbccbbbbbbbbbbbccbcbbbccbccabbbcbbbbcbbbbbbbcbbcbccbcbcccbbbcbccbcccbcabcbcccbbbbbbbcbccbccbbcbabbbcccbbcbbbbabccbbbbcbbbcbcbbccbcbbaccccbbcbccbacbaccbcbbbbbcccbcbbbbbbbcabbbcbcbbbccbbbbabbbbbbbbbbbcbabcbbcbbcbbcccccbbccbccacbbbbccbcbbccccbccaabcbcbcbcbbbbcccbcbbbcbcbbbcccbbbbcbbbbbbbcccbcccbbbbbcbcbbcbcabbcbbbbccbccbbbcbabcbbbcbbaccbbbcabcbbcbcbccbbbbccbcbbcbabbbacbbcccbcbbcbbbbbcbccbbcabbbbcbbcbbbbbbbbcbccbacbbbbbbbabcbbbccbcabbcbbcccbbabbcbccbcbcbbabbbbbbbccbbcabbcbcbcbcccbbbbcbabcbbbbbbcbccbccbcbbacbbbcbbccccbcbcbbbbbbbbbcbcbbbcbbcbbbbcacbbcbbbccbbcbbbbbbbbbcbbbccbccbbbbcbabbbbbcbbbccabbbbcbcbcccbbccbbbbbcbcccbcbbcbbbbbcbbbbbbbbccbbcbcbabcbbbcbcbbbbccbcbcbcccbbbbbbcbcbbbbccbbcbbcbbabbbcccbbbbcbbcbbbbbbbacbcbbbbbccbabcaccbbccbbbcbcbbbbcbbbbbcbbbcbcbbbbbbccbbbccbcbcbcbbcbcbbbacbbbbbbcbbccbcbbbbcccccbbbbcbbbbcbabbbaccbabbcbbbcbcbbbbbabcbcccbccccbcaccbbcbccabbbccccbbccbccccbccbccbbbbbcbbbccbbbbbccbcbbbccbbbbbbcbccbcabcbccbbcbaccbbcbbccbcccccabccbcccaccbcbcbabbbbcbbbbbbcbbbbcccbbbbbcbcbbcababbbbcbbccbbcbcabccbbbbcbcbcbbbcabbaabccbbbcbbbcabbbbcbccbbbacbbbbbbbcbacbcbbcbccbbbbbabbbccbbbbbbabbbbbbbbbcbccbbcbbbbcbabbbcbbbcccbbbbabbcbbcccbcbbbbbbcbbcbccbccbbccbbbbbbbbbcbbccbbbbbbbbbabbcbbcbbcbabbbbbbcbbbbccbbbbcbbccbbcbbbcbcbbbbbabbbccccbcbcbcbbababbbcbbbbbbbcbbbbccbbbbbbbcbbbbbbabbbbabbcbacbbbcbcaccccbccbbccabcacbbcbbbbcbbcbbacbbccbbcbcabbbcccbbcbccbcccbbbbbabbcbcbbcbcbcccccbcbbbbabbcbcbbcbccbbbbbabccbccbcbbbbcbbbbccbbcbbbbbbbbbbaccbbccbbcbcbcbcbbcccccccacbbbbbbccbbbccbbbbcbbbbbcbccccbbccbbccbbcbbcbbbbcbcbcabbccbccbcbcaccbababcccbcbcbbbbbbbcbaabbbbcbbbcbbbbbbbbcccbbcbbcbbbbccbbbbbbbbabccbbbbacbcbbbbbbcbbabcbccbcbbcbbbbbbcbcccacbcbabbbbbbbbccbccccabbbbbbcbbbbbcbcbcbccbbbcbbbbbcbbabbbcbbbbbbbcbccaabcccbbbbbbcbbbbbbbcbcbbbcbbccbccbbbcbbcbabbccbbccbbcabccbbcbccbbcccbbbbbcbbcbcccbbbaccbcbcccbbbbccbbbcbbccbcbcbbccbbbbbcbbbbbbbcbcbbbbbbbbbbbcbbbcbcbabcbbbbbcbccccbbcbbbccbbbcbcacbcbbbbbbbccbbcbbbbbbcbbcbccbbbbccbbbcbbcbcccbcccbcccbbbcbccbcbccbbbbbcbbcbbbcccbbcbbbbcbbbbccbcbcbbcbbbbcccbcccbcbcbcccbcbcbbbcbcbcbbbcabccbbccbcbccbbbcbbcbbbcbbccccbcbbbbbbccbbbccbbbccbbcbbbbccbcbbbcbbcbacccbcbbccabbbbcccbcbbcbcabbbbcbacbcbbbcbacbccbbbbbbbbbbcbcccbbbbbcbcbbccbbbbbbbcbbcbcabcccccbcbccbbbccbccbbaabcbbbbacbbcccbcbcbbbccbbcbbbabcccbbbbbcccbbbcbbbcccbccbbbcbbabccacbcbbbbbcbcbccbbbbcccbbbcbbbcbbabbbbbbbbbbbccbbcbbbcbbbbbababbcbbbbcbccbbbbccbccbbbbabbcbcbbbbcbccbbcbbcbccccbbbcccbcbbbcbccbccbacbccabccbbccbbcccbbbbbbbbbbcccbccbbcbbbccbbbbbbbaccbcbcbcccccccbccbbcccabccbcabbacccbbacbbbbcbccbcbbbbbbbcbccbbcbcbcbacbbbcbbbbbbaccbcbbccbbaccbbcbbabbbbcbbcbcbcbbccbbcbcbccbccccbbcbcbbbccbbbcbccbbbcbcbbbbbcabbccbbbcbbbbbcbcbcbbbbcccccbccabbccbcbbbbcbbbcbbcbbbbbbcbcaaabbcbcbccbcbbbaccbcccbbbbccbccbbbbbcbbbccbcbcbbacbbccbbcbbbccabcabbccbbcbbbcbbcbccbbccbbcacbbabacbbacbbbabcbabbcbbbbbcbbccbbccbbcbcbbbbbbbccbbbccbabcccbbccbbbcbbbabbcbbcbcbcbcbbbcabcbcccccbcbbcbccbacbcbbccbbbbbcbbbbccccbbbbccbabcbbbcbbbcccabbbbbcccbcbbbbbbbcccbbbccbccbbbacbcbbbcbcbccbbbbccbbcbbaccbcccccbcbbbcbbcabbbbbcbbbbbbbbcbbbcbcbbbbbbcbbbbccbbbbcbbcccbbcbbccbbcabbbbbcccbbbbbccbbbbbbbbbbbbbcbcabbcbbbcbbbccccbbbcccbccbcbaccbcbbbbcbbccabbbbbbbcbbccbcbcbbcbbbacbcbabbccccbbbabcbcbbbcbbbcbbcbbcaccbbbcbbbcbbcbbbcbcbbcbabbcbbbbbcbcbbbcabccbbcccccccbbbcbbbcbbbbbbbbbacbbbcbbbbcbcccbbbcbcbcccccbbcccbabccbcbbbbbcbccccbcccbccbbbbbccbccbacccbabbbbcccbbbbbbcabbcccccbbbbcccccbbbbcccbbcccbcbbbcabbbcbbbccccbbccbbbcbbbbbcabbccabbbcbbbabcbbbccbbbbacbbbabbbbbcbbbbcbbcbcbbcbbcbccbbbcbbbbbabcbccccbbcbbbcbccbcbbbbbcbcabcbbbbbbcbcbcbbbcbbbbabbbbcbaccbbcccabbbbbbbbbabbbbcbcbcbbcbccbbbbbbcbbabcbcccccbccbbbbcbbabcabcccbccbbbcbbcbbbbbbbbcabbcbbcbbbcbbcbbcbababccbccbcbbbaabbcbbabbcbccbccbbaabbbbcbbcbbbbcbcbbcbbcbbcbbbccaccbcbcbccbbbcbbcbabcbccbbbccbbbbccbbcbcbbbbbccbbbbcbcbbbbcccbabbcbbbbcbcabcbbbbcabcbbcbbbccbbbbbbbbccbbcbbbcbcbbbcbabbcabbbbbbbcccbcccbabcbcbbbbbcabccbccbbbbbbbbbbcbcbacbbbccbcccccbcbbcbbbbbcbbccbccbbbccbcccbbbabcbbcbbbbbccbcbbbbcccbbbbbbbbcccbabccbbcabcccbbbbcbbbbcbabbbcccbbcbbbcccccccbbbabbbbbbbbbcbbbcbccbbbcbccccbcbcbcbcbbbcbbbcbbccbccbcbccbbbbcbbbbbcbbbccabbbbcbbcbbcbbbcaabbabcbbbbbbbaaabcbbbbcbbacbbbbbacabbbbbbbccbcbbbbbcbccccbbccbbbbccbbcbcccbcbbcbbbccbcccbccbcbcbccbbbcbbbcbbbbbccbbccbcbbcbbcbcbbbbbcbbcbcbbcbbbcbbbcbbcbcbccbbbbbcccbbbabbcbbbcbcbbccbbcbccbabcbbbbbbcbacbcccbcbbbcbcccbcbbbbbbbbbbcbbcbbcbbccbbbccbcbbbccbbcccbcbabcbbcccaccbbccccbbcccbbcbbbbbbbcbbbbbcbbbbbcbabbbbbcbbbbcccbcccccbcbbcbcbbbbbbbbcbcbbbcbbcbbccbccbbccbcbbbbbcccbbbbcccbbbcbcbbcbcbcbcacccbcccbccbbccbbbbbbbbbbccbcccbbbbcbacccbcbbcbcbcbbbbbcbbbbbbbcbabbcbbbbbbbbcccccacbccbcbcbcbcbbcbbbbcbbbcbbbbbcbcbcbcbbabcbbbbbcbbccbbbccbbbbcaccbcbcbbcbbbbcbbcccbccbcbccbcbbccccbcbcbccbcbcbcccbcbbbbbbbcbcbcbbbbcccbbcbbaccccabbaccbbbbbbccbacbbbccbbabbcbbabbbbbbccbbbcccbbcbacbbcccbccbcbbbbcbbcbcbcacbbbcccbbcbbbbbbccbbccbcbccbbbacccbbcbbbcbbabcbbbbbcbcbbcbbccbcccbbbbbcbbccbbbcbbbbbbbbbabbbcabbcbbcbbbcbbcbcbbbbccbbbcbabbabbcbbbbccbbcbcbcbbbbaccbbcbbbccbaccabbbccbbbbbbbbcbbbcbbbbbbbbbcbccbbbbcbabcbbcbbbccbbcbbbbbabbcbbcbccbcbbbcbbcbcbbbbcbbbccccbbbbbbbcbcbaacbbbbbbbbbbbbcbbbccabbcbcbacccccbabcccbacbabbbbbbcbbcbbcabcacbbcbbcccccbbcbbbbbbbbbccaaccbcbbcbccbbbbbbcbcbbcbcbbbccbbbcbbabcbbacbcbbcbccccbbbbcbccbbccbbccbbbbbbccccbbabbbccbccbcccbbbccbbccbbbbcbcbbbbcbbccbbcccbbbbcbbbbbcbbbbbbcbbcbbbcbabcbbbccbcccccbcbccbcbcbbbbcbbbbcbbbcbbcbcbcbbbcccbcccbcbbcbbcbbbcbbcbbbbbcbbcccbcbbccccbbbbcbcbacbbcbbbbbbbbbbacbbbbbcbbbcbaacbabbcbbbcbbbbbcbcbcbcbbbcabcbbbbbccbbccbabbabbbbbcccbbbbccbbabcbbbbbbbcbbcbccbbbcbbbbbbcbbbbcbbbbcbbbbcbbccbcccbccbbbccbcbacbcbcbbbbbcccccaccbbbbcbccbbbbccbbbbccbbbbcccbcbcbcbbbbbccccccbbcbccbcabbcbbabccbbcbcbbbbbbccbcbabbbabcbbbacbccbbcbcbcbbbbbbcbcccbcbcccbbbbcbbbbbbcccbbbbcbcbbbbcbbccccbcccbccbbbbbbabbccbabbbccbcbbbabccbcbbbccbcbbbbbcbbccbbbbbccbcbcbbcccbbbcbbbcbbcbbcbabcbcbcbbbbbbabbcacbacbbbbbbbbcbbcbccbbbbcbbccccccccccbbbccccbbcbcbbbccbcbbbbbbbcbbbbcbbabbbbbccbbbabcbbcbbbcbbababbbcbcccbbcbbbbcbbbbbbbbccbbbcabbbbcccbbbbbccbccbbbbbbcccbbbccbbacbcbbbacbbbbacbccbbbbcbccbbbbbccccabbbcbbbbccccbccbbcccbbcbbcbcbccbcbcbcbcbbbbbbbbcbcbbbbbbbcbbbbccbbbaccbcbbbabbbbcbbbbbbbbbbccccabccbbbbcbbbbbbbbbbbcbbbbbcbbcbbbbccbbbbcbcbcbbccbbbbcbbccbcbbbccbbbccccbbbbbcbcccbbbbbbbbcbccbccbbcbcccccbbcbbbbacbbbccbbabacbcbbbbccbcccabbbbcbbbbbbbbbcbbcccbbbbbcabccabbbccbcbbcbcbbbcbcbcbbcbccccbccbccbcbcbbccccbbbcabccacccacccbcbbbcbbbcbbcbbcbbcbcccbbcbcccbbbbbcbbbbccbbccbbccabcbcbcbcbcbbbccbbbbbbbbbbbcccbbbbbccbcbbcbbbcccabbabbccbbcbbcbccbcbbcbbcbacbbccbbaabcbbbbacbbbbbbbcbbbbbbbbbbbbcbbbbccbccbbccbcbbabcbbcccbcccbbbcbbbbccbcbbccbbbbbcbcbbbbcabbbcbccbcbcbcbbcbcccbcbbbbbbbbbbcbcbbbbbccbbbbcbbbcbccabbccbbcbbcbbccbbbcacbccbcbbcbbbbcbbbabcbbccbbccbbbcbbccbbbccbccbbbbbbbbbccbcaccbcbbbcbbbccbbbbbbcccbbbaacbbbcbbbcabbbcbbccbcbcbbbbcbcbbacbbaabbbcccccbcbbbabacbccbbbbbccbbbcbccbbbcbbbbcccccbcbbcccbbbabbccbbbcbbbbbbcbbbcccbcbccbccbbbcbbbabbbbabbabbbbbbcccbcbbbcccacbbcbcbbcbbbbbccacbbbbccbbcbbbcbabcbbbabcbbcbcbcbbbbcbbbbccbbbbbbbbccbaabbbcbbbbbbbcbbbcccbbbbccbbcbbcbbbbccbcbbbbcbbabcbccabccbbcbcbbcbbbbbbcbbcbbccbbbcbbbccccbbbbbbcbcbbbbcbbbbcbcbccccbbcbbbbbcabacbabbbcbbcccbbcbcbbbbbcbbcbbbcbbccbbbbbccbcbbccbbbbcbbbbbbbcbcbbcbbbbbbcbcbbabbbcccbbbbbbbcbbbbccbcbbbccccbbcbcbcbbccbbbbbbcacbcbbabacbbbbcccbcbbbccbbbbbbcbcbbbbbcccbbbcccbcabbcbbcbbbcbcbcbcbbbcbbcbcbbccbccbbbcbbbacbbbbcbcbcbcbbccccbbbbcbbccbcbbcbbccbbcbbccccbbccccbcbbbbbcbcccccbbccbbbcbabcccbbbbbcbcbbaccbcbbbbcbbbccbbbbcccaccbbbcccbcbbbbbbcabcbbccbbbbcbbcbbbbacbcbbccbbbbbbbccbccbacbbbccbcbccccbbcbbaccbbbbcbcbbccbcbcbcbbcbabbbbcbbbaccbbccbbbcbcccbcbbccbbbacbbbcbcccbcbcbbbccbbcbcbbccbcbbbcbbccbbccbcbbbcbbcbbccbacbbbbbbcbbbbbcbbbcccbbbbbbbcbbcccccccabcabbbbcbbcbcbbcccbcbbbbbbbbbbcbbbbcbbbcbabaccbbbcbbbbcbcbbabbcbbacbcabcccbcbbbbbcbcccbbbcbabcccbacccbbbbbabbbcbbcbbbccbbbbbcbcbbbbbbbbbccbbccbcbbbcbacbabbcbcbbbbbbbccaccbbbbcbbbccbcbbbabbbbcbbbbbcbbbbbcabacbbbbbbbbcbcbbcccbbbbbbcbbcbbbabcbbcbcbbbcccbbbbbbbbbbcbcbccccababccbbbccbcbbbbbbbbcbbbacacbbbbbbcaabbcbcbbbbbbbbcbbbcbcbcbbbbbbcbbcccbcbcccabbbbcbcbbbbbbbbbbbbbbbbbbbbbcbbccbbbcbcbcbbbbbcccbcbbbcabbcbbbbbbbbbbcbbbbcbbcbbcabbbbbcbcbbaccccbbbcbcbccbbbbcccbbbbcbbbbbabbccbbbbcbbbbbacccbbbbbbbbbcbccbbcbbbacccbbcbcccccbcbbbbccbbcccbccbbccbbabcbbcbbcccbbbccbcbbcbbcbcbbbbbcbcbbbcbcbbbbccccccbccbbbacbbbcbbccbbcbbbcbccbbcbcbacccbcbbbcbbbccbcbbbbabbbcbbbbcbacbabbbbcbbcbccbbbbcbbcbbacbbbbbbccbccbbbbbccbbbbccbcbbbbcbcbccbbcbcbbcbbcbbbbbccbbcbbcbbbbbbbccbbccbbccbcbbbcabbcbbcccbabccccbcbbacaccbbbbbbbcbbcbccbbbcbbbbbbbbcbbcabcbbcbbcbbcbbacbbcbbcbcbbbbbbbbcbbbbaccbcbbbcbccbcbbabcbabbcccbbcbbbbbccbbbbcbcccbbbbccbbcbcbccbbbabcbccbcbbcccacbbbcbcbcccbbbbbbcabbbbbbbbcbbcbbabbcbcccbbcbcabcbbbbcbccbcbbbccbcbcbcbcccbcbbbbbabcccbbbbbbbbbbcbbcbbcbccbbcccbbbbbbbccbbbcbcbacbbcaccbbcbbbbcbccbbbbbccbbcaacccbcccbbbcbccccccbbccccbcbbbbbbcbbbcbccbccbbbcbbcbcbcbcbcccccbbbbbbcccccbcbbcbbaaccbbbcbbbbbbabcbbcbcbbcbbbbcbcbbbbbbbbbbcbcbbcccaccbbcbaccbabbbbccbccbccbbbbbbcbbbbcbbbaaccbcbccbbbcbbbbcbbbbbbccccbbbcbbacbcbbbbcbcbcbccbccabbbbccccbccccbbbcbbbbbbbbbbbcbccbbcbbccccbbcbbccbbbcbcbcbcbcbcbbcbcbcbbbccbbbbbbbbbcbbcbcbcccbbbccbbcbbcbbbbbbacbcbbbbbccbbcbbbcabbbcccccbbcbbbcbbcbccbbcccbbbbabbbbbbcbbbbbbbbccbbbccbbbcbcbbccbccbbbbbcbcbbccbbcbbacbbbbbbbbcbcbccbcbcbbbbbcabbccbcbccabcbbbcbbcbbabbcbbbcbbbbbbcbbcbbbbbbbcbbbbbcbbbbcbcbbbcbbbccbbbcccbcbbcbcbbbcbabbbcbcbcbbcccbbcbbccbbbabbbbcbcbbbcbccbbcbcccbbcbccbcccbbbbbcbbbbbbbcbbacbcbccbbbbbbbbbbcbbbcabbcabbcbbbbbbcbbcbcccbbbbccbbbbbbcbcccbbcbbbccbbbcbcbbbcbbcbbbbbbccabbbbbbbbbbcbccbacbbbcbbbabacbbcbcccbbbccbbbbbccbbbbbbbaccccbcbabcccbccbbcbccabcbbbcabbbbbbbbbbbbcbcbbbbbcbbbbcccbbcbccbbbcbcbbbccbcccccbbccbbcbbcbbbccbbcbcbbbbabbccbbabcbbbccbbbbcbbcabccbbbbbbccbbbbccbbbbbbbcbccbbbcbbcbbccbbcbcbbcbbccabccbbbbbccbcbcccbcbbccbcbbcabbcabbbabbbbbabcbccbbcccbbbbccbbbbbbcbbabcbbbbbcbccbabbbbbcbbbcbcccbbcbbbbbcbbbbbcbbcbbcbcbcbcbbcbbbcccbcbbcbbbcbbbbccbbccbbccbbbbccbcbbbbbcabccbbccbbbcbbcccbbabbcccbbcbbbbcabcbcbcccbbbbccbbbbbbbbcbccbbcbcabcbcbacbccbccccabcbccbccbcbbcbbcbbcbccbcbccabbcbabbcbbbcbbbbbbbccbcbbccbbbcbcbbbbbccbbbbbcbabccbcbbbccbbcbbbcbcbbaccbcbcccbcbbccccbacbcbbbabbbaabcbbbbabbbcbbbbcbccbcbbbbcbbcbbbcbabcbccbbbbbbccbbccbbcbcbbbbbbbbbbbcbbbbbbccbcbbbbbbbccccbbccccccbbbbbbccbbcbbbbcbbbbacbcccabbbcbacbacbcbcbbcbccbbbbbcccccbbbbcbbbbbabbcccbbbbccbbbccbaabbbbbcbbbccbccbbcbcccccbbbbcbbbcccbcbbbbcbbbbbbcccbbcbbcbbcbbbbbbcbcbbbbcbcabbbbbbccbccbbbbbbbccbbbabbacbbbbbcacbbbbbbcbbccabbcbbcbbccbbccabbabbbbcbbbbcabbcbcbcbbbbacbbcbbbacbbbccbbbbbbccbbcbbbabbbbcbcbbbbaccbcbcbccbbbcccccbbbbbbbbbcccbccbcbbbbbbcbbbcccacbccbabbcccaccbbbbccbbbbbbbcccbcbcbcabcbbcbbbbbcbbbbbccccbbbcccbbbbbbcbbbbbbcbcbbabcbbbcbbbccbcbbbbcbbacccbcbabbbbcbbbbccbcbcbcbcbbcbcbbcbbbbbcbcbbbbcbbbbcbbabbcbcbcbbbcbbccacbbcbccbbbccbbbbbbbbccbbcccbbbbababbbcccbcbabcbbcbcbbcbbbcbbbbcbbcabacabcbbcbbbcbbbcbbabcbbbccbccbaccbbbbbbbbbcbbccbcccccbbbbbaacbcccccbbbbcbbbabbbbbbbbbbcbbbbbbbcbbcbbbcbbcbbbbcbcbacbbbccbbbbbcbbbbbbcbbbbbbbcccbccbccccbcabbbcbacbbbbaccbbcbcbbbbbbcbbcbccccbbbbbcbbacccbccbcacbbbbbbcbbbbbcccbbbbbcbbbbbccbcacbbcbccbbcbcbcbbcbbcbbbcbbbcabbccccbcacbbccbbbbcbccbbbcbcabbcbcccbcbccbacccbbbbbbaacccabcbcbacbccbcbbcbabbbbabcbbcccabbcbbbcbbbcbbcbcbbbbcbcbbcbbbbbbcbcbcccbbccbcbbbbbcbbbbabacbbcbcbabbbbbbcbbcbbbccbcbbbcbcbbcbbacbbabcbbabcbcbcbbbcbcbcccbcbbcbbbcccbbbbbbbbbbcbbbbbbccbbbcbbbcaabbbcbcbbbcbbccccbcbbbcbcbbbbbcbbbabbbcbcbcbcbbbbbbbcbbbcbabbccccbbcccbccbcbcbabbccbbacbbabcbbbbbbcbbbccbbcbccbccccbbacbcbbccbbbcccccbbbbbccbbcbbbbcbbbcabbbbbbbbbbbbbbbbbcbbbbbbbbabbbaacbccccabbbcbcbcccbcccbcabbbcbbbcbcbcbbcbcbbcbbbbabccbbbbbbcccbbbcbbbbbbbbcbbbbccbbbbbcbaccbbbbbabbcbbbbbcbbbbcccbbccbcbccabcbbbbcbcbccccbcbbbbabbbbacbbbcbcbcbbbcccbbbcccbbbbbabbbbbcccbbbaccbbbbccbbbbbcbcbbabbbbcbbbcbbcbbcbcccbbbcbbbbabcccbccbbccccbbbbcbbbbbbbbbbcbbcbccccbbccbbcccbbbbcbacbbbccbcbcbbacbaccbccbcbabbcbbcabbbbbbbbbbcbccbcccbcbcabbcbbbcacbbccbcbbbbcbbccbccbcbbbbbbbbbbbcbbcbcbcbacbbcbaccbcbccbbccbbacbcbbcbbcbcbbbbbccbccbcbbbbbbbbbbcbccbabacbcbbccbccbbcabbbcbcbbbacbbccbbbcabbbcbbaccbccbcbbacbbcabbbbccbbbbbabbbbcbbcbbbcccccbbbbbbbcbbccacbbccbcbbbaccbbbbbbbbcbbbbbbbccbbbbbbcbbabcbbbbbbcbcbbbbbacccccbcbabbbbbcbbbbcbbbbbcbbcbbbccbbbabcbbcacbcbbbbcacbbbbcbbcbcbbbcacbbbbbbccccbbcbacbcbccccbbbbbbbcbbcbbbacbcbccbbccbbbccacbbcccbccbbccbccbbccbbbacccbbbcbccbccacbabbbbbbbbbbbcbbbcbcbbbbcbbbbccbbbbbbbbbbbcbbcbcbccbbbbbbbbcbbbbccbcbbabbccbcccbbbccbbcbbbbbcbabbcbbbaccbbcbbcbbcbccbcbbbbbccbbbbaabbcbbbcccbcccccbcbbbcbcbcbbbbbcbbcabcbcbbcccabcccbabccbbbccbbcbbbbcccbbbcbbccccccccbccbbcccbbcbacbccbcbbccbbbcbccbbabbbbbccbbbbbbacbcbbccabbccbcbbbbcbccabbbbbcbccbbccbbbcccbbbbcbbbbbbcbccbbcbbcbbabbcbbbbcbabbcbbbbabbbbbbbcccbcbbbccbcbacbbbbbbbccbbbcbabbbbbbbbbcbbcbcccbcbbcbbbbccbabbbbbbbbacbbcbcabcbbbbbbbbbbbbbbabbbcbccbbcacbccbcbbbccbccbbcbbbbcbbcbcccacbbcbccbbcccbbcbbbcbcbbbcbcbccbbbcbbbbbbbccbcbbccbccabbbbcbbbcbbacbbabbccbccbbccbccbbbbccbbbcccbbbcabbcbbbbcbbbbbabbcbbccbabcbbbcccccacabcbbcbcbcbbcccbbcbcbccbccccbbacbbbcbcabcbbbabcbcbbcbcbbbbbbbaccbbbbbbcacccbbbbccbbccbbbbbbbccbbbccbbbcbbbbbbccbccbbbcbbcbabcbabbbbaccbcbccbbcbbabccccbbbbbccbcbcbbcbbbbbcbbbbcabcbcbbbbbbbbbbbbcccbbbbbcbcbcbbcbbcbbccabbcbbcbbbbcbccbccbbbcbcbcccccbacbcbcbcbcbbccccbbbcbcbbcbbcbccbcbbbcccbbbbbbbcacbacacacccbbcbcccbbbccbbbbabbbcbbbcacccbccccbcbbcbbbccccbbcbbbcabbbbbcbbbbbbbbccbbcbbbbcbabbbcabbbcbbbccbbcbcbcbbbbccbcbcbbbcabccbcccbbcbccbcbcbbbbcccccbbcbbbbbbabbbccbbbbbcbabbbbcbcbacbbcbbcbbbbbbcbccbbbcbcbccbbcbccbbbbccbcbbcbbbbccbccccbcbbabbbcbcbabbbbcbabbbcbbbbbbccbcbbcbbbbbcbbbabbcbcbbbbbcbbbabcbbccbccbbcbbbbbcbabccbcbcbcbcbccccbbbbbbcbbcbcbbbcbbbcbcbcbbbbccbbbbbccbbbbbccccbcbccbcbbbbcbbccbbbcbcbbbbbabcccccbbbcbcbcbccbbbbbbccbaabbbccbccbbccbbccbbbbbbbbbbbbbbbaabbbcbbbbccbcbbbbbbcccbbaccbbbcbbccbcbabbbbbbbbbaccbcbccbbcbbabccbbbbbbbcbcccbbcbcbbcbcbcbcbccbbbbbccbbcccbbbbbbbccbbbcbbbcbbbbcccbbcccbbccccccbbbbbbccccbbcabbbbbcbbbccbbbbcbcbbbccbbccbbbccbcbbbbcbbbcbbbbccbbabccbcbccbcbbbabbaccbbbbccbcbbcccbbcbccaacbcccabbbbbbccccbbccbcabcbbcbbbccbcbccbbbbcbcbbbbcbccbbbcbbbcbccbbbcbcbcbbcbbbccbcbbbbbbbccbcbbbacbbbbcbbcbcccccbcbbbccbbbbbbbcabcbccbbcccbbbbccbacbaccbbcbccbbbbcccbcbccbbbccbbbbcabcccbbcccbbcbbcccabbabcbcbbbbcbccbcbcccbbcbcbbbbbbbbbbbcccbbcbbcccbbbccacccbabcbbbcccbbcbcbbcbbccbbbcbbbbbcbbabccbcbbccccccbbcabbbcbbbbcbbbbbbcbbbcbcccbbbbcccbbcabbbbbccbcbcbbccbccccbbbbbcbcbbbcbcbcbcbaccccbbccbcbbcbbbcccbbcbcbbccbbbbccbbbbcbbbcbbcbbcbbbbccbcbcccbbbcbcbbbcbbcbbbccbbccbccbbbbbccbcbbbbcbbccccbcbccbbbccbbbccbcbbccccbbbcbbbcabcbcbbcbbcbbcbbccbbbcbcbcbbbcccbccccbabcbccbbbbbcbbcbccbcbcbbccbcbbcbccbcccbccbcbbcbcccbbcbbccbcbbcbbbbbcbbabbcabbcbcbbbccabbbbcbcbbccccabbbcbbbbcacbbbcbbbbbccbccabbccbbcbbbbccbcbcbbbbbacbbbcbbbbbbbbbbbbbbbcaccbbbccbcbbbcbbbbcbcbccbabbbbbbcbcbbbbcccbcbcbcccccbbbbbccbbbcbcabbbbacbbbccbbbccbccbbcccbbcbbcbbbbbbbccbbcbbbbbbcccbbbcbccbbbbcbbbbbccbbbbbbbcbbbbbcccbbbccccbbbbbcaaccbcbbbcbbbcbcbbcbccbcccbccbcbbcbcbbbccbbbbbcbbcbbccbcccbbbbaccbbbccbcbbbcbcbbbbbcbbacabbcccbbabaccccbccabbbbbccbbccccbbbabbbbabcbbbcbccbbbbbbbcbbbbcbbbcbbcbcbcbccccbbbbcbcbabcbbbbbcbbcbcbbbcabcbcccbabbacccbcbbbbbcaccbcbbcbcccbcbbbbbcbbcbbbcbcbbaccbbbcbbbbbbcbbbcabbcbccbbbbbcbbbbbcbbbccbcbbcbbcbbbbbccabccbbbbbbcbbbbbccbcccbbbcbbcbbcbbbbcbcbcbbbabbbbbbbbcccbbbbcbbbbbbbbbccccccbbbccbccbbbbbcccbbbbccbbbbbcbbacbbbbbbbbbbabcbbbbcbbccbcbcbcbbbbbbacbbbccbccbcabbbbbcbaccbcbccbbbccbbbcbcbcbbbbbcbbcbcbcccbbcbcbbbccabbbbbcbcbbbbbabcbabbccbbcbbbcbbcbcbbbbbbbbbccbcbbcccbbbbbbcbcbbcbbbbccbbabcbbbbcbcbbcbbbabcaaccbccccbcbcbcbbcbbbbbbcbbbbbbbbbabbcbbbbccbbccbcbbbcbbbcbbcbcbbbbcbbbccccbbccbbcbccbbbbbbbcbbccbbccbbcbbccbbbcbcbbcccbbbbbbbbbbbbbcccccbbbbbbbbcbbbcbbacbbbbbccbbbbbbbbccccbcccbbcbcbbbbbbbcbbbbbcbbcbbbcbbbcbbccbbbccbcbbbcbcbacccbacbbcacbcbbbbcabcabcbbcbccbbbbabbbcbbcbabbbacbabbcbbcbbbccbbbccbbcbbbbbcabbbcbbbccccbbbbbcbbbbcabbbbcbbbabbbbbbacbbbbccbcbcbbccbcbcbbcbbabcccbabcbbacbcbccbcbacbbbcbbbbbbcbcbbbbbcbbcbbcccbbbcbbcbcbcbbcbbbcabbbcbbbccaabbbcbbccbbbbbacbbbbbcbbbbbabbcabbcbbcabcbbcccbcccbcbbacbcbbbcbbcbcabbcbbbbbbccbbccbbacbcbcbbbbabbbbbcbbcbbbbccbcbcbcbbcbcabcbcbcbbbbcccbbbabbbbbbbacbbbbbccbcbbccbbbccbcbcabbbbbbbcbcbbbbcbbbbbabbbbabccbacabacbbbabbbccabccbccbbbcbccbcbcbbbbbbcbcbbbbbbbbcbbcbbcbbbbbbcccbbcbccbbccbcbccbbbbcbbbbbcbabbbbbbbbabbcbcbccccbcbcbbbbbbcccbbabbbccbbcbbbbbbbbbbbabcbbbbbbbcbbbbbbccbbcbcbbbbaccbbcbbbcacbbbccbcbccccbcbbcbbbbccabbcbbbccbcbcbbbcbccacccbcbccbbbbcbccbbbcbbbcbbbccbbbbbccabccbbbbbbcbbbbccbcbcbcbbbbcbcabbabbbbbbccbabbcbbccbcbbbbbcbccbbcbbbbbbbbcbbbbcccbbbbbcccbbbbbcbbbcccbbccabcbbaabbbbbbccabcccccbbbbbbbbccbccbbbcbbabccbbbbccbbbbccbbbcbbbbcbbbbcbbcbccbcccbbccbbcccbbbcbbbbccaccbbaacbcbbcccccbbabcabbccccbbbbbaaccbbbbccaabbbbbbbcccbbbcbbbbabcbbbbccacbbbbbbcbbcbabbbbcccbcbcbcbbbbbbcbcbbbbbbcccbcbbcbbbbacccbccbcbcbbbbbcccbbabbcbbbbccbbbbccabbbccbaccbacbcbbbbbbbbbbbbbbbcbcbccccbcbbcbbaababbbbccbbbbcbcbbcbcabbcbcaccbbccbcbccbbbccbcbbbbbbabbbbbbccbbbbcbbbbbcacbcbcbbcbbccbbbaccbbcccccbbcbabbbbbaacbbbbbccbacccbbccccbcbcbbbbbbcbbbbbbbbcbbbbbcbbbbbbbbcbbcbbcbbbcbbbbbbbcbcbcbbbaacbbbbbbbbbbcbcbbcbcbbbcbbbcbbcccbbccbbbbcabbbbcbbcbacbacbcbccbbcbcbcccbcbcbbbbcccccccbcbcbcabcbbbcbbbbccbbcbbcbccbbbcbbbbcbbcaccccbbbaccbbbbbbacbbbcbbbbbcbccbbbbbbbbbcabbbabcbbcbcbbbcccbbbbcbbbccbbbccbbcabbbbcbcbbbccccbcccbbbbbccbccbbcbbbbbccbbcbcccbbbbbbbccbbbbbbcbcccbcccccbccbbbbbbbabbbbccbbabbbbcbbbabbbbcbcabbbcbbbbbcbbaaacbbbabbbbbbcbbbbcbbcbbcabbcbccbbbbacacbbbbbbbcbbbbbbbbbbbbbbbbcabbbccbbbbbbbcbbbabbbcbaccbcbcbccbabccbbbccabbbcccbcbcbbbbbbcabbbbcbbcbbccbaabbbbbbcbbbbcbbbbbccbcccbcbbcbbbbccbbbbbbbbcbbccbbbbbcbbbbcbbbcccbbaccbccbbcbbbbbbbcbcbcbbcabbccbccccbbbbcbcbcbcbbbcaccbcccccbbbcbbbbcbbcbccbccabaccbcbabbcbcbabbcbbbcccccbccbccbcbbbcbbccccbbbcbcbcbbbccabbbbccbcbcbbbcbbabbbbbbcbbccabbbccccabbccbcccbbabbbbcbbbbcbcbccbcbcbcbcbbbbbcbcbcbbbcccbccbbccbbbcbbcbbcbcbbccbcbbbbbbbcbcccccbcabbcbbcbbcbbbbabbcbbbabcbbbabccbbbcbbabbbcbccbbbbacbcbcbbbbcccbbbcccbbcbbcbbbcccbcbbbccbccbbbbccbcccbbcbbbbcbbbbbcbbbcbbbbcabbbcccbccccbcbbbbbbbcbbbcbabbcbbbccbacbccbbbbcbcbbcbbbbcbcbbcbbcbccbbbccbbbccbccbbbccccccbbbbccccbcbcbbcacbbbbbbccbccbbcbbcbccbbbccbbbabcbcbabcaccbbcabbbcbbcbbbbcbabbcbbcbbbccbcccbcabccbbbbcccbbbcccbabbcbbccbccbbbbbbbbbcbbbcbbbbbcbbbcbcbbccbbabbbbbccbbcbcbbbbcbccabbbbcbbbcabbbabbbbbcbbcbcccbbbccccbccacbcbcbcbbbcbbcbacbcbbbbbabbbcccbbbbbbcbbbbbccbbcbcbbbcbbbcbcbbbabbccbbbcbbcbbbcbcbbbbbcbccccbbbbcacbbbbbbbbbcccbabbcbccbbbcbcbbbbbbbccccbcbbbbbbbcbbbbabbbbbcbbcbcbbcbbbcbbcbbbcbcbbbbbbbbbbccabcbacbcabcbcbcbcbbbbccbbbbbbcbbbbbbcbcbbcccbbbcbbcbbbbbbcacbbcbcbbbbbbbbbbccbbbacbbcbbccccbbbcbcbbcbcbbccbbbcbbbcbbccbbbbbbbabbccbbbcbcbbbbbbbbbcbbbbbcbcbbbbabcbbccccbbbbbccbcbbcbccabacccbbcbbbbbccccbbcbbbcbacbbcbcbbbcbabcccbcbbcbcbcacbbbbbbccbbbccbbbbcbbbcbbbbbbbcbbbbbbbbbbbbcbcbccbbbcccccbbbbbaabbbbccccbbcbcbbbbbbbccabbcbabbbcbcbbccccccbbbbcccbbbbccbbbbcbbccacbcbbbbbabcccbbbbbbbbbcabbcccbbcbccccccbbbbcbcbbbccccbcabbccabcacbcbcbbbcbcbbbccbbbbbabbbbcbbbbbbacccbbbcbcacbcbcbbbabcccbcbbbbbbcbbbcbccbcbccbcbcbcccabbcbbbcccbccccbbbbcccbcbcbbcccbbbbbbbccbbbbccccbccccbbbbcbbccabccbbbcbbbbbbbbbcbbbbbabbbbccbbcbbbcbcbbbccbbbbbcbcbbcbccbbccbcbbbcbbcbcccbbbcccbbbccccbbcbcbcabcbbbaccccbbcbbbbbbcbbcbbccbcbbbbbccbaabbccbcabbbbbbbbbbabbbbccabbcbcbbcbacbcbbcabbccbbccbbbbcabbbbbcbccbccbacacbabbbcbcbccbcbaccbbbbbbccbcbcccaccbbbbcbcbcbbbbcbbcbcbbbbbbbbabbbbccbbbbcbbbcbbbcbbbbbcbccaacbccbcbccbbbcccccbbbcbbcbbccabbccbbbbbbbbbbbbbbbbbcbccbcbbbbcbbbcccbbbbcbbbcbccbcbccbbbbbbbbbcbcbbcbbbcacbcbbbcbcbcbccbcbcbccbcbcbbbbbcbcbbbcbbbbbbcbbccbbbbcaabbbbbcbbcbbbbbbcbbbcbbcbbccbbbcbcccbcbbcbcbbabcbcbcbbcabbbccbbbbcbbaccbcacbbbbcbbbbbbbccbccbbccbccbccbccbbcccbcaccbbbcbbbcccbbacbbbcbccbbbbabbbcbcbbbcbbcbbcbacbcbbbcbcbbcccabbbbbbbcaccbbbcbabbbbbbbbcbbbccbcbcbbcbbbbbbbbbcbcbbbbbcbbcbbbcbbbbcbcacbcbbbccccbbbbcbccbbbbbcccccbbcbcccbccbbbbbababbbbcbcbbbccbbbbbcbbcbaacccbcbbbbbbccbccbbbbbabbcccbbbcbbcbbbccbcccbaabcbbbbbbbcbcbbcabbbabcbbcccbbcbbbbbbbaabccbbbbcbbbbbbbbbbcbcbcbbbcbcbcbbbbbbbbbbbbbbcbbbbbbcacbbbbbbcbccabbbbbcbcbbbccbbcbbbcbbcbcbbbcbbbbbbbcbbcbccbcccbbbaccbccbccbbbbcbbbbccbbbbcbbcbbbccbcbbbacccccbcbccbcbccacbbbbbcbbbbbbbbcbbbbcbccbbbbbbbbbbcbbbbbbbbccbbbbbbcbbbbbcabbcbcccbbbbcbbbccbccbbbacbbbbbbbcbbccbcbbbbccbbbbbccbbbbcbbcbcbcbcbbbbbbcbcbabbbbbbbcbcbcacccccbbccbbbcbcccacbbbbccbcbbbbbcbcbbbbbccbbbbbbbbabbcbbbbbbcbcbbbcbcbcbcbabcabcbbbcbbbbbccccbccbcbcacbaccbbcbcabbcabcbbcbbccbcbbccbbbbbbcbcbbbbccccbcccccbabbbbbbbbbabbabcbbcbbbbbabbbbbcbccbcbbaccacbcbbbcbbbcccbbbbbbbbbcbabbbcccabcabbbbbcbbcbbccbbbbbbbccbcbcbcbbcbbbbbbbbbcbcbcbcbbccbcbcbcbcbcbbcbbcbbccbbbbbbbbcccbbbbbbbbabcbbbccbcbbbcbbbbcbbbbccccbccbbbaccbccbbcbcbcbbbbabbbbbacbcbbbbbcbbbbbaaccbbcbbbbbbabcbbccbccbbcacbbcbccbbccbabcbbccbbccbbbbbacbcbccbbbbcbcccbbbbbbcbcbbbbcbbbbbcbbbcccbbbbccbbabbbbccbcbbbcbcbcbbaaacbbbbbcbbcbbbbccacbbbbbcbbbbbabccbcbccabbbcbbbbbbbbbbbbbbbcbbbbcbbaabbbcbccbaabcbbcbbbcbbbcbbbbbcbbbccbbbbcbbccbbcbbbbbbbcccbbccbcbbbcbbcbbbcbabccccbccbcbbccbbccbcccbbcbbcacbbcbbccbbbbbbcbbbcccbcbcbcbbbbbbbbbcbbcbcbcccbbbbbbbbbcccccbbcbbbcbbbbbabbbcbbacabbbbbbbbcbbbbbbbcbcccbbcbccbbbcbcccbcbbbbbbabbbbccccbbbbbbccbbbbbbbcbbbbbcbcbccbcccbbbcbcbbccbcccbbbbbcbccbcbbcbcbabbccbcbbbbbbbbbbcbbbcbbcbcbcbbbbbbcbbcbccbbbbbcacbccccccbccbcbccbcccabcbccbbcbcbcbcbbbbbbbcacbbbbbbccccbcbbbcbcbcbbbbcbbbbbbbcbccccbbbbbbbbcbcbbbbbbbbbcbbbbbcbcbbbbcbbbcbcbccbbbcabbbbcbbbaccbcbbccbbcbbbbbcbcbabbccbbbcbbcbcacbcbbcccbbcbbcbbbbbaccbbbbbcbbcbbabbbcbbcbbcbcccbcccbbcbbbbbbbbbbbbbbbbbcbbbbbbbbccbbbcbbcbbbbbbbbbccbbbbbbbbcabbbbcbbbcbbbbabbcbbbbbbbcbccbbbbbbbbbcbcccbbbbbccbbbccbccbcbabcbbbbbbcbbbcbcbbbbcbbbcccbbcacabcbbcccbbbcbbcbbbbcbbcbcbccbbbbcbbbcbcccccccabcbcbcccabbbbbcbbbabbbbbccbcccbbcbbccccbcccabbbcbbbcbbbcbcbccbbbbbbccbbccbbbbcbbcacacbcbcccbcbcbbcbccbbcbcbcbaabcbcbbbcbbbcbbcbabbcbccbbccbbbcbbcccbbcccccbccbcaccbbbcbccbcbcbbcbabbbbbbcbbccbbbbcccbccbbbbbbbccbbbcbccccbcbccbbccbcbccabbbbbcbcbcccbcbbcbbbbcbbbcbccbbbbcbccbbccbcaabbbcbbbbcbbcbcbcbabbcbbbbcbbbcbbbbcbcbccbbbcbcbbcccbccbcccbbbcbbbbbbcbbbbbccbbbabbcbcbcbccbbbccbbccbbaccbcbbcccbccbcccbcbcbcbbbbbbbbcbbbbbbbbbccbabbbcbbbbbbbbcbbbbabcbcaabccbbbaccbbbcbcbbccbcbbbcbcbbccbcbbbbbabbcbbbbbbcbbbbcbbccbcbcbccbbbbbbcbccccbbabcbcbbcbbbbbcbcbbbcbbbbcbabbbbbbcbbbcbccccccbccabcbbbcbcccbcbbbbbcbccbbbbbbbbbbcbccbcabcbcbbcbcbbbcbcbbbcbbbbbcbcbbbcccbcbccbbbccbbbbbbbcbcbcbbabbccbbbcbcbbccbbcbbbcccbcbcbbcbcacbcbbccbbbbbcbccccbcbccabbbcbcbbbbbbbcbcbcccbbabbcbbbbcbbbcccbcabcbbbccbbbbbbbcbbbbbcbbccbbbcbccbbcbbbbcbbbbcbcbbbbcbbcbcbbcbbcbcbbbbbbcbcbabbbbbbcbcbbbcbbbbbbbbbccbbbacbcbcbbbcbbcbbcbabbcbbcbbcbcbbcabcbbcbcbccbcbccbbbabcbccaacbbcbcbbbcccbbbcbcccbbcbbcbbbbbbcccbccbbcbcbbbbbbbbbbbbcbbbccccbbbbcbccbbcbbcbcbbbbbbcbbbbbbbbaccccbccccbbccbbcbbbcccbbbabccbbcbcbccbcbcbbcbcabccccbcbccbccbbbbbcbbccccbabbbbbbcbbbbcbbbacbabbbbbbcbbbbbcbbcbbbbbabcbcbbbbcbccbbbbbbbbccccbbcbbaccccbccbbccccbbbcbbbbbcbabbbcbccbbabbbbbcbcbcbbccbbbcbbbbcbcccbcbcbcbbbbbbcbccbcbbbcbbbbbcbcbcabbbacbcbbbbbccbbacbbbbccbbbabccbbbcccbbcbabbcbbbcbccbbbbcbccbbcabbcbcbbbccbcbbbbbbbbbbbcbbbbccbccaaccbbbbbbbbbbcbbcbbcbbccbacccbcbbbcbbbbbbbbbbcbcbbbbbcbbcbbbcbcbbcbcbbbbabbbbbcccccbbbbcbbbbcccccbbbbccbcccbbbbbbcbccbbbcabbbcbbbcbbbccbbbabbcbcccccbbbcccccabbbbcbbbbacccbbccbcbbbbcbbbcbcbbabbbbcbbbbbbbbbccbbbbabbcccbbccbbbbccbbbbbcbbcbabcccbcbbcbccabbbbacbbbcccbbcbccbcbbcbbcbbcacbcbcbbbbcbbbbcbbcbbbbbbbbcbccbcbbbcbbbbbbcccbbcbccbbbbbbccbbcbbbabbbcccbbbccbbccbbcccbbbbbbbcccbbbbbbcbbbabbbabbccbbcbbcbcbbcbbbcbbbbbbbcbbbbbbcbcbbbcbcbcbbcbcbbbbcccccbbbbccbcbbbbbbbccbcbbbbcbccbcbccbcbbbbcbbcccccbccbcbcccbcbbccbbbbbcbbccbcbbbcbcbcccccbccbbbbcbccbabbbcbbaabcbbbacbacbcbbbccbcbcbbccbbcccbbcbcccbabbbbbbbccbbbccabccbccccccbbcbcccbbcbbcbabbcbbbbbbbcbccbccbbbcccccbbcccbbbbcbacccbbbbacbbcccbbcbbbbcbcbbbbbcbccbcbcbbbbbbbcacbcbbbbbbcbbcbccbcbbcabbbcbcbbabcbbbbcbbbccbbbbbbccbcbbccbcbbccbbbbabbccbccbcbbbbbbbbbcbbbbbcbcbcbcabcbbccbbbcbbccbbbbbcbbbbbbbcbbbbbbbcbcbcbbbbbbcbabbcbcbbabbbbbcbcbbccbccbbccbbcbcbbabbccbccbbcbccbbbcccccbbbccbbbcbbbcbbbbcccbbcbcbbbccbbcbbbbababbbbbcbbbbbbbbbbbbccbbcccbbcbbbbcccbbbbbbccbbbcbbbbbbabccccbbccacbcbbabbbccbabbbbcbbbbbbbcabbbbbcabcbbaccbbbcccbbbbabbbccbbbbcbbbbbbbcbbbcbbcbbbbbbbbabcbbbbbcbccbbbcbbcbbbcbbcbabbbbcbcbbcbbcccbbbbbbbacbcbcbccccbabcbbbbcbcbbbbcbbcbbcbabcccbbbbbbbbcbbccbcbcbbbbbbbcbbcbbcbbcbbbabcbbbbbbcbbbccbbbccccbbbcbcacbbbbbbbccabcbcbbbbbbcbbbbbbcbcabbbbbbbccccccbccbbbbbbcbbbbbbbcccbbcbcbcbcbbbcbbccccbcbbcbcbbcbcbbccbcbcbbbbccbbccbabbbbabcacbbbbbcbccbbbbcbcccbbbcbcbcccbbcbcaccbcabbbbbbbbcccbccbbbbbcacacbcbbbcbbbbbbbbcbbcbbbbbbbcbbaccbbbcbbcbbccbbbbbbbccbbbcccbbcbccbbbbbbbcbbbcbccbcccabbbccbcbccbbbcbbcbcbcbbbbbbbccbbbbbccabbcbbbcabbbbccbbbbbcccbcbccbbccbbbcbbcbccabcbccbbbbbbbbbbbbbaccbcbccbbcbbcbccbccbbccbcbcbbbbbbbbcbcabcbbbbbbbcbccbbbcccbbbcbbbbbbbccbbbcbcccbcbbccaccccbcbbccbbbbbbbccbcbbcbcbbcccbbcbcbbbcbccbbbcbbcbcccccbbcccbbbcbabbbbbbcbbbbccbbbbbbcbbbcbcbbcabbabbabbcabcabbbbcbbcbbbccbbbbbbcbbbbcbcbbccbbcbbbbbbcbcabcbbcbbbbbbcbbcbbcbbbbbbbbbcbbbcbcbcbccbcbbcbbbccbcbcbbcbccbcabcbcabbbccbccccbcabbcbbcabbcbcbcccbbbccbbccbbccacbbcbbbbbbbcccbcbbbbcccbbcbbbbbccbbcbcabbbbcbbcbbbcbcbbbbbbcbbcbbbccbbcbcbcbcbbbcabbcbbbabbcbbcbbbbcbbbbbbcbbbabcbccbbbacbcccbbcbbccbbaccbbabcbccbcbbbcacbccbbbbccbbbcbbcbbbbcbcbbcbbbbbbbbbbcbbbbbbccbbcbbabbbbcabccbcbcbccbbbbbbbcbacbbbccbbbabaabbcbbccbbbbbbbbbbbcbbbcbbcbcbbbbcbcccbbbcbcbcbcbccbcbbbcbccbcbbccccabcbbcbbbbacbbabbbccbbcbbbbbcbacbbbbbbccccbbcbbcbbcbcbbcccacbbccccbbbbccbbbccbcbbbbbabbbccbaccccabbcbbbabbcbcccbcbcbbcbccbbbbbbbbcbbcccbbbbcbbcbcbcbbbcbbbcbcbbbccbbcccbbbbbabbbbbbcbbbbbbcccbbbcbbcbcbbbbacbacbbbbcbabcccbbcccccbbbbbcbbbbbcbbbccbbbabcbcbabbbbccbbbbccbbcbbbccbabcbcccbbbcbbbbbbcbcbbbccbcccbcbcbbcbbbccbbbbbbcbccbccbbbccbcbbbcbccbbbbbcbbbbbabbcbccbcbbbbbbbcbccccbbbcbcbcbbcbbbbcbccbcbcccbbbbbbbbbaccbbbbcbcbbcbcbbcbbcbbbcccbbbccbccbbbbbcbbbbbcbbbccbcbbccabcbbbccccbabcbabbcbbcbbccccbbbbccbcbbbbcbcabbbbbbcbbcccbbbcbccbcbbbbcbccbbbccbbccbbccbbbcaccbbbbbbccbbcaccbcbbcccccbbcbbbbbcbccbbcbcbccbbccccacbbbabcbbbcbbbccbbbbbbcbccabbcbcbccccbcbbcabcbccbcbcbbbbcbccbccbbcbbbbbbcbbcbbbcbbcbccbbbbbcbbcbccccbbbcbbcbbcbccbbbcbbbbcbccbcbcbbacbcbbbcbbbbcccbbbbcbbccbcbbbbbbbbcbcbbbcbbbcbbcbbbbbbbcbcbbbacbccbcbcbbcbcbcacabcbbbbccbcbbcabbbbbcbcccbcbbbbbbbcacbbbcbbbbbccbbbcbacbcbccbcbbbbcbcccbccbbccbbcbbabcbbbccbbbcbbcbccccbccbcccbbbbbbbbbcbbbcbcbbbcccccbbbcccbcbbbbbbbcbbccbbaccabbbbcbbcbcccbcbbbbbccbacbcbcbbcbbbcccbbcbcbcabccbbcbbbcbbbbccbbbbccbbbbbbabbbbbbcbcbcbbcccbcccbbcbccabcbbbbcabbbbbbbbbbbbbbbbbbcbbbcbbcbcbbcbcccbaccbbbcbbbbbbcccccbcbbccbcbcbcbbbcbcbbcbbbbbbbbbbabccbbbbbbbcbccacbcbbbbbcccccbbcccccbcabbbbbcbcbcccbcbbbbbbbbbcbbbbcbbcbbbbccbbbbbbbbcbbcbbbbcbbcbccbacbbbbbbbbcccccccbccbbcbbcbcbbbbcbcbaccbcbccbbcbbbbbaccbbabbbcccbcbcbbbbbabbbccbbbbcbcbbcabbbcbccbcbbbbbcbcbbcbbbbcbbacccbbbcbcbcbbbbabbbbbbcbbbcbbcbbbcbbbcbaabbbbbcbacbbccccbcbbbbbcbcbbabcbbbcccbcbbbbbbcbbccbbbbbcbbbccbcbcbcccbbbbbbbccbbbbccbbccabccbbcbbbbccbbbcbbcccbbcbcbbbbbbbbbbbccbbbbbcbbcbbbbcbbbbbbbbbcbbbabbccbbbccbbbbbbbbcccbbcccbbbbbbbcbbbccbcbbbbbbbcbbbbbbbbbbbcccbbcbbccbcbcbbccbcccbcbccbcbbcbccacbbcbbcbbbcbbccbbbcbbbbbbcbbccbbcabcccbcbbccbccccbcbcbcccbcccccbbbcbcbbbbccbbbbbcbabcbbbbcccbacbbbbcbabcccbcbbbbbcacbcbbbcbacbcbbcbccbbcbbbbbbcaccbbacbbbcbbcccbcbccbbbcbcccbbabbbbbcbbbcabbbcbbbabbbcbbbbcbaccbabbccbbbacbcbbbcbbbbbbbccbbcbbbbcbccbbbbbbbccbbbbbbbbbbcbbccbbcbbbbcbcbbbbcbcbcccbbbbcccbbbcbcbbbbcbbbcbbcbcbbbbbbbbcccbbcbbcbbbbbbbcbbcbabcbbbbccbbbcccbbbbcbcbcacbacbbccacabcbbbbcbcbbbcbcbbbbacbccbbcbbbcbcbcbbbbbcbbbbcbbbcbbbcbbbbabbcbbbbbbbbbbbabbbcbbcbbbccbbcbcbbaccccbbcbbbcabbbabbcbbcaccbcbbbbbccccbcccbcbcbccbccbbbbbbbbbbbbbbcbbbccbcbccbbbbbcbcbbbccccbcbcbccbabccbccbbcbbbbbabbbccbbcccbcbbbccccccbbbbcbbbcbccbbbbccbbbbccbbbcbbcacbbcbcbcccbbcbbbcbbccbbccbcbbcbcbabcbbcbbbbbbbccbcccbcbbbcbbcbcbbcbcbbcbbcbbcbbbbbbcbccccbcbbbbbcaccbcccbbbcbcbcbbcbbbcbabcbbcabcbbbbbcbbcbcbbccaccbccbcbccbbaccbcccbbcbabbcbbbcbccbcbabbbbcbabcbbcbbcccbbcbccbcacbbbccbbbbbcbbcbbbbbbbbcbcbcbccacbbbbbccbbcccbabcccbbcbbbbbbbbccbccbcccbbccbbbcbbbcbbbbbccbcbcbbbcbbcbcbcbbbccccbbcbcbcabccbbbbccbbbccbbbccbbacbcbbbbbccbbbbcbbbbcbbcacbbbbcccbcbbccbaacbbbcbbbbbbbbbbcbacbbbcabacbbbbbcbbcbbccbbcbbbcacbcbbabccbbbbbcccccbbbbbbbbbccbcbccccbcbbabbbcbcccacbcccbacbabcbbcbcbbbbbbcbcbcccbcbccbbbbbcbbccbbabbbbbbbbcbcbbbcbcbbbacccbbbcbbcbcbccbbbbbcbbcbbacccbacabcccbbcbbccbcbbccbbbbccbccbbbbbcbcbcbccbabbbacbccbcbbccbaccbbcbbcccbbbbbbcbccccbbcbbbbbccbbbbbbbccabbbcbcbbbbbcbcbcbabcbbbcbbcbbbbcbcccbcbcbccbabbbabcbbbabcbccccbccbcbbcbbbccbbbccbcbbbbbcbbbbcbbbbbcbbbbbbcbbbbcccbbbbccbccbcbccccbcccccbbccbbbbcbbcbbbbbbbbcbbbccbbcccccbabcbcbbcbbcbbbccbbbbcbbbbbcabcababbbccbccbbbbbccbccbbbbcccbbcbcccbcbbccbbcbcbbbcccbbcbbccbccccbcbbbbbbbcbcbccbbcbbbbcbcccbccbbbbcbcbbcbcbbcabbbbcbbbbcbbcccbbccccbccbbbbbcbbbbbbccccbcbbbcbbbcbbcbbccbbbbcbbbcbbcbbbbccbbacbbbbbcbbbbcbbbbbccbcbabbcbabbcbcbccccabcbbbcbbcbbbbbcbccccabbbccbbcbbbbbcbacbcbcbbccbabbabababccbcbbabbbbcbacacbbbcbbbccbabcabbbbbbcbbbcbbcccbcbbcbbcabcbbbbbbcabbbbbbbbbbbbcbcccbabcccbbcbcbcccbbbbbbbccbbbbbcbbcbbbcccbbcbbbbcbbbbbcbcbbbcbcbccbcccbcbcabbbbbbabcbcbbbccbcccbbcbbcbcbbbcbccccbbbbcbbcbcabcbbbcbbbbbccccbbbcbbcacbbbcbbbbbbbbbcbbbbcbbcbbbcccbcbbbabcbccbbcbcbbcbbbbcbbcbbcbccbcbcbbbbbabaccbbbacbbbccbbbbbbcbbbabcbcccbcbbccbbccbbbcbbcbbbbcbccccccccbcaabbcbccbcbbbbccbabbbabbcccbcbcbbcbbbcbbbcbbbccabbbbbcbbbcbcbccbacbbbbbbbbbbbbcbccbccbbbbbbbccccbbcbcbcbccbbccbbbbbbcccbacccbccbbbbcbbbbabbccbbbcacbcbcccbbbcbbbbbcbabcbabccbcccccbbbccbbbcccbcccbcbbcbcbccbabcbccbccbbbcbbbbbbcbbabcababbcbbcbbbbcbbbbbabbbbbbbabbbcbbbbcbbbbbbbbbbccbbcbbabbbbbbbbbbbbcbbccccbcbbbccbcccbbcbbbbcbbbbbbbccbcbbbbbcbbbbccbbbccabbbcccbbbcccbcbbcccbcbccbcbbbbbbbcbcbcbacbbbbcbccbabbccbbbbabbbbbbcccbcbcbbcbbbcbbbbccbcacbbcbcbbbbcbcbbcccbbccbbbcbbbbbbcbacbbabbccbabcbcbbcbccbbbabbbbccbcbcbcababcbbbcbcbccbbbbbbcbbccccbbcbbbbcbbbccbbccabbabbbbbbbbccbcbcbbbbbcbbccbbcbbbcbbbcbcbbcbcbccbccbbcbcbbbcacbbbbbbcbbcbbcbbbbbcbbccbccbcbbbbccbcbbaccbcbccbcbbbccbbbcbabbbcbbbbbbbbbbbbbcbbcbbaccbcbbaccbcbbbbbbccbccbcbbbccbcbbbbbcbbbcbbcbcbbcbbbbbbbbccbbbbccbbbaccbbcbbbbbbcbbbbcccbcbbcbccbcbcbbbbbcbccbcbcbcbbbbbbbbbbbcbbbcbcbbbcbcccbcccccccbbcbbcbbbcbbcbcccbbcbabbbbbcbbbcbcbbcbbcbbbbcccccbcbbcbcbbccbbbbbbcccbbbbbacbcbcbbabbcbcbbbbccccccccabcbbabbcbccbbcbcbcbbbbcbcbbcbcbbabbbcbcbbbccbbbcbcbcbbbbbcbbbbbcbbbbccbabbbacbbcbcbcbbcbbbccbccbbcbbbcbbccccbbbccbbccbbbbbbbbbcbbcbbbbcbbbbcbbbcaccbcbbbcbcabccbbcccbcabbccbbcccbcbcbbbbcbbbbbbabbcbbbbbbcbbbbcbbcbbbbcbabccbbbbbcbcbbbbccbbcbbbcbcbbcbacbccccbcbaccbbbbbbbbcbbbcccccbbbcbccbbcbbbbbbbbbbbccbbcbcbcbcacbabcbbcbcbbbbbbbbbccbbbbccbcbbcbcacbbcbccbbbbbcbbcbbcccbbbcbbcbbbcbbacbbccbcccbbbbbbcbbcbcbbccaabcbbbcbcbbcbcbcbbccacccbbbbbbbbbcbcbcbbbccbbbcbacabbbcccbbbbcbabbbcbabcbbbbbbbbbcccbbcccbcbacbabbbcbbbccbccbcbcbbbccbbbcbbcbccbbcbbbcbabbbbbbbcbccbbccabbccbbbcccbbbabcbcaccbcccbbcbbbbcabccbbcbbbbbbabbcbccbcbcbcbbcbbbbbbcbbbbbbbcbcbbbbcacbbbbccccbccbbccbcbcbbbbbccbcccccbbcbbacbbbccbcbbcbccbbabcabcabccbcbbcccabcccbbcbbbbcbbbcbbbbbbbcbbbbcbabbbcbcbbccbcabbbacccbbbbabccccbcbcbbbacbbbbbbcbbbcccbcbcabcbbbcbbcbbccbbccbcbccbbbbbcbbbcbccbcabcbccbbccbccccccbbbcbbbbccbbbcbbbbbbbcbcbbbabccbbbabbccccbbbcaacbbcccbbbcbcbbbbccbcbbbcbcccbbcbcbbbbccbbbbbccccbbcbbbbbbbcbbcbcbccccbbbbcbbaccbcbbcbcccbbcabbcbbcccbbaccbbbcbabbbbbbcbcabbbabbbaccbbcbccbbbabbbcccbcbcbcacccbcbbbbbbbbbcbbbaabbbcbcbcbbcbbbbcbcbccbccccbbbbbabbbcbbccbbbbbbbbbbbbbbccbcababbbbbcbcccccbbbbbcbbbcbccccabbbbccbcbacbbbbcbcbbbcaccbbbcabccbcbbbbbacccacbbcbaccbccbcbbbcbbbcbbbbcbacbcbabbccbbababbbcbcbcbbbbcbbbbcbbbbbbbbbcbabccbcbccbcbbcbccbbbcbbcbbbbbbbbbbbbbcbbacbcbbbbccabbbbbbcccbbbccbbbcbcbccbbabbbbcbacbbcbcbbbbbcbcbbbcbbabcbccbbbbbbbcbcbbbcbbbbbbbbccbacbbbccccbcbbbbbabbbbcbbccccccbccbbccbcccbbbbcaacbbcbbcbbbbbcbbbbbbbccbbcbcbbcbcbbbbabbcbcbbbcbbbbcccbcbcbbcccbccbababcbbaccbabbbabcccbbcbcbccbbcbcbcbbcbbbcbbbbbcaccbbbbccbbbccbbbbbbccccbbccbbbbbcbbccbcbccbcbbcbccbbbbbbcbcabbabcbcbbccbbbbbcbcbbcbbbbcbcbbcbbcbbcbccbcaccbbcbcbbbbcbbbbbbabbccbccccbbcbbbbbcbbbbccbacbccbcbbbcbcbbbccbccbbbbbbacbbbccbbcbccccbcccbcccbbcbbccbbbccbbbbbbccbbbabbcbcccbbccabcbcbcccbcccbbbcccbcbcbbccccbbbbbbbabaccbbbbbbbbbbccbcbcbcbcbbbbbbbabcbbbbcbbbbbbbcbcbcbcbcbccbcbbbbcbbccbbccbabcbbbbbbbbcbbbbbcbbabbbbaccbbcbbababbcccbcbbcbbcbccbbccccbabcbbcbbccbbbbbbbbccbbcbbbbbbcbbbcbcbbbcbababbbbbcbbbcccbbbbbacbcbcbbbacbbbbbacbcbbbabbcccbbbccbbbcbbcbccbbbbbbbcbccabbcbbbbccccccbcbbbbbbbbccbabcbabbbccbbbacababbbbcbabbbbbbccbcbbbbcabbbbacbbbcbbbcbbbbbbbbbbcabbbbbbbbbbcbbbcbbbbccbccbbbbcabbbbbbbbbbbccbbccbbbbcabbbbcbbaccbbccbbbbbbbbcbbbbbbccccbbcbcbccbcbbbbbbcbcbbcbccabccbbbccbbbcbbcbcccbbbbacbbbccbbbcbbcbabbcbcbbbbcabbbbbbbbbcccbaaccbcbcccbbbbbbccbcbbbabbccbbbbccccbbcbcbcbcbcbbcccbbcbccbcccacbacbbbbbbbccccbcbbbbbcbbccbbbbccbbbbccbbbccccbcbcbbcccbcbbbcbbcbbbcccbcbbccbcbccbccbcbacbccbccbbbabbbbbbabbcbbbbbbbbcbbbbbccaabcbbbccbbbbbcbbbcbbcbacbbbbcbbccbbbcbbbbbcbbcbbcbbcbbbcabcbbbabcbbcbbcbbcccccbbbbbbbbccbbcbccbbcbbbbcccbccbbbcccbcccbbbcbccbbbbbbcbcabbbbbcbbbbbbbbbcbccbbbccbbabbcbabbbbcbacbbbbcacbbccabbbbcbbbcbbbcbbcbbbacabbbbabbbbcbbbcbbccccabbbbbbbcbcbbbbaaccacbbcbbcbbbbccbccbccbcbcbbbacbbcbccccbbbbbcbbbbbcbbbbbbcccbcbcbbcbbbbcbbbbbcbbbbcbcbbccbbbccbcbcbcbcabbbbccbbbbbbcbccccbccbbcccbbbbbcbbbbbcbbbcbbcbbbbcbbcbcbbbbabccbbabcbcccbbbbcbbbbbbcbcbcccaaabbcbcbcbccbbbbbbbbbaccbbbbbbbbcbccbbcbccbcbccccbbcbccbbccbbbbbbbbccbbbbbbbcbbabbbbbbbcbbbbcbbcbbcbbbbccbbcbbbbbcbbcbcabbbbbbbbbbcbabcbbcbaacccbcbccbbbbbcbbbccbcbbcbbbbbccccabbbbbbbcbcbcbcbbccbbbbcbbbbcbcbbbbbcbbcbcbbbcccbbbbaccbbcbcbbbbbbcbbcbcacbabccbbbbbbccbbcbbbccbccbbbbbcbcbcabbcbbbbcccccbbcbcbbbbcccbbbbbbbcccbbacbbbbccbbbbcbbbbbbcbcbbbccbcbcbbccbcbbcbbabcbcbbbbccbbbabccbbacbccbbbbcbbbccbacbbbcbbcaabcbbbbcbcbccbbbbccccbcbcbcbbbbbcccbcbbcbcbbbbbbbbcbcbcbbcbbcbccbbbcccbbccbbcabcbbcccbbbccbcbcbcbbcbcbccbbbbbbabbbcbbcccbcbbbbbbcbbbccbbbcbbabbbbcbbbabcbcccabbbbbbbccbcbbcacbbcbcccccbbbcbccccbcbcbccbbccbbbbcbbbccbbcbabcccabcbbccbbbcbcbbbbcbbcaccbbbcbbbbbcbbcbcbbbbcbbbabcbbbbbbcbbbcbcbbcbbbbbcbcbbbccbbbbcbbcbcccbbbbcbbbbbabcbcbbccbbbccababbccbbbbbbccccccbccbbccbbbbbbcbbbcbbcccacbbbbbbbbcacbbbbabcbcbccbcbbbbbbbbccbbbbbcbcbbbabbbcbcbbbccbbccbcabbbbbbbbcbbcbcbbbcbbcbccbbbcbcbcbcbbcbbbabcbbcbbbcbbbcbbbbbcccccbbbaccbabbbbcbbcbbbcbcbbbbbbcbcbcbcccabbbbccbcbbbbbbbbbbbacabbcccbbcbbcbcbbbbcbcbbbbccbbbbbbbbcbbcbbbcbcbccbbbbcbcbbbcbcbcbbbbcbbcbbbcccbcbccbbccbccbbbbbcbbcbcabccbbbbbbacbbccbbccbbccbcbcbbbcbbcbbbcbbbbbbbcbbccbbbbcbcbbbccbcbcbccbbcbccbbbbbcccbbbcbbbbbccbbcbbbbcbbbbbcbbcbabccbbbacbcbcbacbbbbbbbabccbcbbcbcbbcbcbbbbbabccbcbbccbbbbbbccbcbacbcbbbbbababacbbbbccbbcbbbbbbbcccbbbcbcbcbbbbbbbbccbbbbbcbbbbbabbbbbcbccccbcbcbcbcccbbbccbbbbccbbbbcccbbbccbcbcbbbcbbbccbbbbbbbcbbbcbcbcbbccabcbbcbbbbbabbbbbcbcbcbbabbbcbbbbbcbbbbbcbbccbcabbbbbbbbccccbabcccccbabbbbbcbcbbcbcbbbbcbbbcbbbccbccbbbcabbccbcccbcccbcccbbbabbbbbcaccccbcbbbccbabbcbbbcbbcaccbbbcbbbbcccccbbbbbcbbacbbcbbbbbbccbbbbcbbcbbcbbcbcaabbbbbccbccabbbabbccbbbbbbccabbbbcccbbcbbbcbbbbbcbbbbbbccbbbcccbbbcbbbbbbbbbcabbccbbcbbcbcbbbbbbcbbbcbbbbbbbbbbcbbbbcbbbbccbccbbcacbbcbbcbcabbbbbbbcbaccbbbccbbbbcbbccbbbbabbbbcbbbbbbbbbcbccbbbccbbccbbbbbbcbbbbbcbbbbbcccbbbbbbbcbcbbbbbcbcbcbbbbbbbcbbbcbcbbbccccccbcbbcbbcbbcbbcbccbbbcbbccbccbcbbbbccbbbbbbcbcbbccaabcbcbbbbbabbccbcbbbbbcbcbcccbcbcbbccbcbabcbbacbbbcbbbbbcbbbbbcbcbbbbcbbcbcbbbcbcbbcbcabccbbcbccbbbbccabbbbcbccccbbbcbbccabbbcbccbbbcccccbacbbbbbccabbcbbcbbbcccacbacbcbbbbcbcbcbbccbbbcbcbabbbbbbbbcbbbbcbcccbbbbbcccbbcbcbbbcccbccbbbcbbbacbbbbbcbbcbcbbbcbabbbbbbbabbbbcbcbcbbbbbbbbbcbbbbcbccccbccbbacbbbbbbccbabbbbcbbbbbbbbbccbcbcbbcbbcbbcbbccccbcbcbbbbccbbcbccbccccbccbabbbbbbbcbbbbbbbbbccccbcbaccbcbbbbbcbbcbcabbbbbbcbabbcbbccbbccbccabccbcbcbbbccbbbbbbbbbccccbbbbbcbccbbcbbbcbbbbcccbbbbbbbcbbbcbcabcbcbcbbbbbbbbbbbbccccbcbcbccbbbbbbbcbabbbccbbbbbbbbbcbcbbcbbcbccbbabbbccbcbbbacccbcbbcbbbccbbbbcbbbbccabcbbcbbcacabccccbbbcccbcbbcbbccabcbbbbbcccbbbbcbbcbccbbbbbcabcbbbbcbbccbbcccbbabbbbbbbcbbccbcccbbcbccccccbbccbbcccbccbbbcccacbbcbbbbbbbacbbcccbcbccbcbcbccbbbbbcbbbbbccccbcbbbccbbccbcbbbcbbcbcbbcbcbcccccbcbbcabcabcabbccbbbccccbcbcbcbbbbbbbcbbcbcbbabbcccbbccccbbbbccbbcbbabcbbbcbcbccccbbcbbbabbbbbccbbbbbcbbcbccbccabbbbacbbacbcaaccccbbabbccbcbbcbcbcbbbcbbcbbbcbccbbbbbcbbbbbbbabcbcccbbcbbabbbcbbbcbabbbcbcbbbbccbcbcabcbcbcbbbbbbbaabccbcbbcbbbbcbccbbbbbbabbbcbcbcbbbccbcbbbbbccbbccbbbbcabbbbbcbbbcbcbbbcbbbcbcbbbcbbbbcabbbbbcbbbcbcbcbbbbcbbbbcbbbbccccbbbbcbbcbccbcccbbbcbbbcbcbbbcbbcbcccbbcbccccbbbbccbcccbbbbbbcbbbbccbbccbccbbbbbbbcbbbbcbccccccbbbcbcbbbccbbbbcbaccccbbbbbcccbbbbcbbbcbcbabbbbbbbbcbbbbcbcccbbcbccbbbbbbbbccbbbccbbbbcbbbbbccccbabbbcbbbcbbbcbcccbbbcabcbcbbcccbbbbbcbccbbbbbbbcbcabcaccbbbcbcbcbcbcbbbcbcccbaccbbbbbbbbbbbbbcbbcccbbbcbcccccbcbcabcbbbccbbbbcbcbbcbbbbbbcbbbbbbbbbbbcbccbbbbbbbccbbccbbbbbbbbbcbabccbcbbbbcbabbbbcbbbbcbbcbbcbbbbcbbbcbbbcbcbbabbcbbbbbbaacbcbaccbbbcbbbbcbccbabcbbcbcbcbbcbcbbccccbbabbcccbbcacbccbbbcccccbcbbccbcabcbbcbbbbbcbbcbcbbccbbbbbbbbbbbbccacbcbaccbcccbccbcbbcbcbcaccabbcbbbbbcbbbccbbcbbccbcbbbcbbbbccbbcbcbcabbbbbbabccbbbbbbcccbbbcbbbccbbbcabbbbbabccbbccbbcbccbcbcbcbbcbcbcbacbccbcbcbbbcbabcbbbbcbbccbabbcbccbbcbbbcbbbcbbbbbbbbbbbbbcbcabbcabcaccbcbcbccabccbcbbccccbbbcbbbbcbbbbbcbbbcbbbbccbabbbcbbbcbabbbcbcbbcccbcbcbcbbbbcbbbccbccccbbcbcbbcbbcbbbbbbbcbbbcbcbbbcbbbbbbccbcbbcbbccbbcbcbcccbbbbcbcbbbbbbbcbbbbcbbccbbaccbbbcbbbbbbcbbbbbcbbacbcbbbbbbcccbcbccbbbbcbbbcbcbbbbcbabbbcbbbbbccbbacbccabbbbbbbbcbcbccbcbbccbbbbbccbcbabbbcbbbcbbcbbbcbcccbbcbbbcbbbbcbbcbbbbcbbccbbbcbbbbcbcbccbcbbccbbcbbbbcbacbccbabbbbcbbbcabbcbcbbcbbbcbcbbacccccbbbbbbbbbbbbbbbcabcbbbcbcbcbbbbcbcccbccccbcbbccbcbabbbcbbcbcbbcbccccbbbcbbcbccbbabccbbbbccbcbbbcbbccbbbbbcbbccbbcbcbbcbccbcacbbbbbccbbbbbbccbbcbbbbbbbbcccbbbccbccbbbbbbbbccbcbbbbcbbcbbcbbccbcaccbcbbcbbcbcbccbbccccbbbbbbccbbcbbbccbcbbbcbcbbbcabcbbcbcbcbbbbcbabcbbbbbbcbcbbbbbcbbbcbbbcbcaccbbbbbcbbcbbbcbbbccbccbcbaccbbacbbcccbbbcccbbcbcbbbabbbbcbababcabbbbbbbacbcbcbbbcbcccbbcbaccbbbcbcbabbbbcbcbccbccbccbbcbbcbbbbbbbbbbbccbbbabbcbcbcbbbbcbcbcabcbbcccbbcbbbbbcbccbcbbabbbcbbbcbbbcbbbbbbcbabbbbbcbbcbbcbbbbccbbbbbbbbbbbcbcbccbbbbcbbccccccbbbcbcccabcbbcbccbcccbcabcbbbcbcbbbcbbbcbbbbccccbbbcbbccbcccbcbcbcbcbbcabccbabcabcbbccccbbbbbcbbccbbbabbbcbcbbbbbbbbbcbbbcbbabcbbbbbbcbbbcccbbbbcbcbbcaabbcbbcbbbbbbbbcbbcbbbbbbccbbbbbbcbbbcccbccbbbbbcbccbcbcbbcbbbacbbbacbbbbbbcbbbcccbcbcbbcbbbbcbccbccbcbabbcbcbbbbcbccacbbcbbaccbbcbbccbcbbcacabcbbcbbbcbccbbbbcccbbbbabbcbbbbcbbbccccccbbabcbbbbbbbbcbcbbbccacbbbbbbcbbcccbcbbcbcbbbbbbbcbbcccbbbbbcccbabcbcabcbabbbbbcbbcbbbbcccbcbbbbbbbbbccacbbbbbacccbbbccbbcccbbcbcbcbbbbbbbbacccabcbbbbccbbcbbbbbcbacccbbbbbbbcccbbcbcbbbabbcbcbbcbccbbbbbbbccbbbcbbbbbcbbbbccbbcbabbbbbbcbbbbbcbcabbbcbcbbbbcbbbcccbbcbbcccccbbcabcccbbcbbbbcccccbbcbbcbcbbcaccbbcbcbcbbbbccbbcbbbbcccbbbbccccbbbcbcacbbcbbcbbccbbcbbccbabbbcbbbbbbbbcbabcbbbccccbbbbbbbcbbbbbcbbccbcccbccbcbbbbcbabbbbbcbbccbbcbcbbbbbcbcbcabbbcbccbbcbbbbbccbbbbbcbcbcbbabcbbbcbbcbccbccbbbbbcbccbbbccbcbbbbccbbbbbcbcbccbccbcbcbccbbccabbbcccbcabbbbcbccbbbbbbcccbbbbbbaabbccbbcbbbbbbcbbcbbcbbabbbbcbbcbcbcbbbbbbbcccccbbbbbbbbbbcbcbbccbbcbbaccbbbbbcbbbcccbcccbabcccabbbbcccbbbbbcbbbcbabcbbbcbbbcbbabbbbbbcbbbbbbcbbcccbccbccbcbbcbbbbbcbcbcbbbbccccbbccbbbbbbbbbbbbccccbbbbcbbbbbbcabbbbabccbcbbbccbcbbcccbcbcbcbbbbcabcbbbbbbcbcbbccbcbbcbbbcbbbaccbcbcbcbbbabcbbccbcbbbbbbcbbbcbabcbbbbbaccbcbcbbbbcbbbbcbabcbbbbcbbbcbcbaacbcbbbccbbcbbbccbbcbbbbaccbccccbcbbcbcbcbbbbbbcbcbaabcbcbccbbbbacbccccbbbbccbccbcbabcbbbbccbbbbbbbbbbbbbcbbbbabccbbcccbbbbabbabacbbcccbbcbbccbcbbababbbbbbbbbcbbbcbbbcbcacbcbcbbbcbbbbbcacccccbbbbbabcccbcbcbbbbbbcbccccbbacccccbbabbbcbabbcbccbabcbcbcbbbbbbcbcbccbcbbbbbcbccbbcbcbcbbcbbcbbbbccbbbcccbbbbbbcabbcbbbabbcccabcbbbbbcacbccabccccbbbcbbbcaccbcccbcccccabbbbbbbcbbbbbbcbbbbbbcbcbabbbbcbcbcacbbbbbbbcbbcbbbbbbbbcbbcbacbcbcbbbbbbbbcbbbcbacbbbbbacbbbbbcbbcbbccbcbccbcccbbbbbbccccbbcbbbabccbbcbcbbcbcabbbbbbbccbcbbbabbcbbcbbcbbcbbbcbcbbbbbbbbbbcbccbcccccbbcbccbcbcbacbbbccccccbbcbbbcbabbbbbbcbbbbcbcbbbbbbbbbbccccbbbccbcbcbbbcbbabbcbcbbccbbbbcacccbbccabaacbbbbccbbbbccbcbbbbbbccbbabcbbbcbbbbbbbbbbbbabbbbbbbcbbcbbbbcbbcbbbbbcbccbabbcccbbbbccbccacbbbbcabcbbcbbbccbbabbbbbccbbcbcabbbcbababcbbcbbbbbbccbccbbbbbaccbbbccbbbccbbbbbbcccccbcbcbbcbbbabbbbbbcccbbbbbbbccbcbabbcccbcbbbcccbbbbcbbbbbbbbcbbbcbbccbbbbbbabbbbbbbcbbcbbcbbbbbcccbbcbcbbbbcbbbbbacbbcbbcbcbbcbbbcbcbbcccbbbbabbbbbabccbabbbbccbcbcbccbbcbcccacccbbbcbcbccbbbbabcbbbccbbabbbbcbbcccbabbbbcbabccbbbcbcbbbccbbcbcbcbbcbcbbabccbbbbccbbcbccbbbabbcbccbcbbbbcbbccbcbbbbbcbcbcbbccbcbbbcbcbbbbbccbcbbbccbccbbcbbcccbbcccbbbcccbbbbbbbccbbbbcbbcbccbcbbbbcbccbbbbbbccbbbbbcabbcbbbcbbcbabbbbbcbbcbcbbbbcbcbcbcaabcbbbccbccccbbbbbbbbbcbcbcbcbbbcbbbbbcbcbbbcabbcccbcbbcccabcbbbbbbcbbccccabccbbbbbccbcbbbcbbcbbbcbbbbccbcbbccbcabbabbabcbabcbcbbcbbbbccbbbbbbbbbcbbbbbcbbcbabbabbbbbbbbbbcbbbbbbcbccbbbccbbccbcbccbbcbbbabcbcbbbbcacccbabbcbcbccbcabcbcbcbbbcbbbbbcbbbbabcabbcbbbccbbbcccbbbcbbbcbbccccbcbbbbcbbcbcbbbbcbbbbbcbbbbbbbbcbbbbbcccbcbbbccbbcccbbbbcbbcbbbbcbbccbcbcbbccbcbbbbbccccbcbbbbcccbbbbbbcbcbbbabbabbcccbaccbbbbbbbcbabbcccbbaccbbcbbbcbcbbcbbbcbbabcbcbcbbbbccbcbbbbbacbbbbbbbbbbcbcbbbccbcacacccbbbbcbbbbbbbbbbbccbbbbbbbbcbbbbbbcbbbbbababbccbcbbcbbbcaccbcbabbbbcbbbbbbbbccbbbbcacbbcbbbbbccbbcbabcbbcbbbbbbcbbbbcbbbbbbbbbbcbbbcbbccbbbbcbabbabcbbbbbbcbbbbbbbcbbbcbbccbbbccccbcbbbcbbbbccccbbcbcbbbbcbcbcbbbbbbbbabbbbaccbbbbcbbbbcccabcbbbbabbbcbbbcbcbcbbbbbbbbbbbccccbccbbbbabccbbbcbcbbabcbbccbccbbccbbcccccabbbbccbbcbbbbbbbbbcbcabbbcbbcbbccbbcabbcacbccbbbbbabbcbbabbbbcbbbccbbbcccccbcbbcbbbcbbcbbcbccbabbbcbccbbcbbbcbbbcbbbcbcccccccccbbbbbbabbbbbccccbccbbcbbccbccbbcbccbbcbbbbbcbbbcbcbbbbcbbbbcbbbccbccbbbbccccccbcbbbbbcbbbbbbbbbcbbabccbcbbabbbbbcbccbbcbbcbbbbaccbcbbcbbbccbbbccbbbaacbbbbbcbbbcbbabbcbbbbabbcbcccbbbcbbbcbcbbbabbcbbbbbbbbcbbacbbcbcbbbccbbbcbbcbbbccbcbbbbbccbbbbcbcbbabbccccbbbbbcbbbccccbbbcacbbbabbbbcccbbbccccbbbcbccbcbbabbabbbbccbbbbccbbbacbccabcbbbbbbbcabbbbbccbbcbcbbbabbcbbbcbbbcbbbbccbcbcbbbcbbcbbccbbbbcbcccabacbbbccbbcccccccbbcbcbcbcbbbbbbbcbbbccbbbbbccbbbbccbbcbcbbbbbbabcbbbcbbcccbbbbbcbbabcbcbbbbbbbbcbbbbcabbbcbbbbbcccbbccbcbbbbcbbcbbbbbcbcbbbabbcbbbccbabbbbbbbcacbccbcabbbbcbbbabcbbcbbbbbbbbbbbacbbcbcbcbbbbbbbbbccbbcbbcbbbbcbccbbbbbccbacbcbcbbbbcccccccbbbccacbcccbcbbbccbcbcbbbabbcbcabbabbbabcbbbcbbabcbbcbbbaabbccbbbbbbbccbcbbbbbbccbbcbccbbabcbbbbbbbaaccbbcbcbcbcbbccabcbbbbbbbccabccbbbcbabbabbcbcacbbbaccbccbccbcbbcbbbabcbbbbabbccbbcbbabcbccbbcbbbccbabcbbbbbcabccbbbbbabbcbcbbcbcaccbcbcbbbbbbbccbcbbbbbcbcbcbcabbcbcbcbbcbbbbccbbbbccabbcbbcabbccbbbbbcbbbbbbbabbbcbcbbbccccccbcbcccbbbcccbbbbbbccabbbbcbccbbbcbbaccbbcbbbbcbbbbbbbcbcbbbcbcbbcccbbbccccbbbcbccccbbbbcbbcbbbacbbccbbbbcbbbcbbbcaabbcbcbbbbbbcabcabbccbbbbcbccbcbbccbbbbbbabbbccbcbbbbbbabccbcbcbbccbbabbcbbcbcabcccbbbbccbbcccbbbcbacbbcbbcbbcbbccbbcbbcacbbbbbcacbccbcbbccbbbbcccbbbcbcbbbbcbbbbbbbbbbcbbbccbbbbcbbbbbbcbcbcbcbbbcbcbacbbcbccbbbbbccbbbbccbbbccbbcccbbbbbbbbbabbcbbcbccbbccbbbbbbbccbbbbbcbccccbbbbbccbbcbbcbcbbbbbbbbbbccbbbbbcbbbbbcccccbcacccbcbcccccbacbcbabbcbcbbcbbcbbbbbbbbcbcccbabbbbbbbbcbbbbcbbbbbccbbbbcbbbbccabbccbbbbbbbcbabcbcbbbbccbcccbcbbacbcbbbbbcbbccbccbcbccbaccbbccbbccbbbbcbcbbbbbbbbbccbbbbcbbcccbcbccbbbcccbbbcbabbbbbbccbbbbcbccbbbbcbbbbbbbccbbcbcbcbabbbbbbbacbcbcbcabbbbcbbbbcbbcbbbcbcbbcbabccccbcbbabbbcccbbcbcbcbcbbbbbbbcbbcbccbbbbbbbccbbbcbcbbbbbbcbcbccbbcbbbbbbbbbbcbbbccccbbcbbcbbbbccbcbbbbccbbbacbabccccbbbcbbbbcbbcbbbcbcbbabbbbccbbbbabcbbcbbbbbcbcbbccccbbbbbbbccccbbcbbcbbcbbbbccbbbcabcbbbbbbbcbccbbbcbccbabbcccbbbbbbacbababccccbccbccabcbccbcbbccbbccbccbcccbbbbbbbcbbbbbbbcabbcbbcbcabcbccbbbcbbbbcbcbcbbcccbbbbbbccccbccabbbbbbabacbbcccccbcbcbbccbbbbbcbcbcbbbbcccbcbcbbbccbbcbcccbcbabccbbacacbbbbbaabbbbbbbcbcbbcbcbbacbbbbbbbbccbbcbbbbbcbbbbbbccccbbacbbbcbbcbbbcbcabcbcbbacbccbbbbcccbbabbabcbbccbbbbbcbcccbccbbbccbcbbcbcbbbccbacccabccbcbbbcbcbbbbbbbbcbccbbccbcbbcbbccbbbbcbbbcbcbbbbcbbbbcccbbbbbccbbcbbbbbbccbccbcbbbbbbccbbbbbbccbcbbbbcbbbbcbcccbabccbbbcccbbbcbbcbbbcccbbbbcbcbbbbcbbbbbaabcbbcbcbacbcbcbcbbcbbcbbbbcbbbcbbcbbbbccbbbbbbbbbcbccbcbababcbcbbcbcbbbbcbbbcbbbccbbbbbbccbcbcbbbbbccbcbbcbbcccbbbacbbbbbbbbbbbccbbccbbbcbabbcccbcbbbbbbbbcbbcbccbbccbbbbcbcbcbcccbbbbcccbbacbbcccbcccacbbbbbbccbcbbbcbcbcbbbbcabbbcbbbbbbbccbbccbabcbbbbcccbbbbbabccbbbbbbcbaccacacbbbbccbcbcbbbbbbbbbcbaabbbcbbbcbbcbbbbbbbcbbbbbcbbbcbcbcccccbbbbbbbcbcbabccbaacbcbccbbbbbbcbcbbbbabccbccbbcbbbabbcbbbcbbcbbcbbbbbbccbbbbbbcbcbbbcbcbcbcbccbcacbbbbcbbbbbbbbacbcbbbccbbcbbbbcbbcbacbbbccbbabbcbcbbbcbbccbcbbabbcccbbccbccbccbcbcbbbcbabbabbbcccbbbbbacccbbcbbbbbbcbbbbcabacabbbacbcbbabbbccbcbbbbbabbbabbbcbbabbbbccbbccbbbaccbbbcbcbccbcbbbcbbbbbccbbbbbbbccccbcbcccbbbbcacbbbcbccbbbbbbbcbbcbbcbbbbccbbcbbbccccbbcbbbbcbcbcbbbccbbcbbccbccbccbbbbbcbccbcbbcbcbbbacbbbbbbbbbbbbcccbcbbcbbbcbbcbccbcbcbbbbcbcbbbcbbbbbacccbbbcbbaccbbbacbbbcccccacbbcbbcbbbacbccbbbbcccbccbbbbbbbbbbbbbcccbcabbbbbbbcbbcbcbbccbbbccbcbcbcbbbbbcbccbbbbbbcbbcbbbbccbbbcccbcbbbbbbabbbbbbbcbbcbccbbccbacbbbbbbbbccbcbcbbbcbbbbbbcbccbbbcbccccbcbcbbbbbccbbcccbbbcccbbcbbbbbcbbbcbbccbcccbbbacccbcbbcbbccbcbbbabbbbcbbbcccbcbbbcccabcbbcbbccbbccbcbbacbbcbbbbbbbbbbbbcbcccbbcbbbbbcbcbcbbacbbcbccccbbbccbbbbcbbcabcccbaccccbbbbcbbbbbabbcbcbbbbbbbbcbcbccabbbcbbcabccbccbbbbcbcbcbbcabbcbbcbcbccbbbbbbbbbbbabbcccbcbabbbbbbbbbcaccaacccbabbbbcbcccbbbbccbbbbccbacbccbbbcbbbbbcbcbbbbccccbbacbcbbbcbcccbbbccbbbbbbbbabbcbbcbcbcbcbbbbcccbbbcbbcbbcccbbbcbbcbbbbbbcbbbbbcbccbbcbbcbbbbbccbbbbbbbbcbccbbbcbcacccccbbcbbbccbbcbbcbbbccbcbcbbbbcccbbbbbbcbccbacbccabbcbcbbbbcbcbbcbbbcbbbccccbbacbccbccbbcbbbbbcbbbcbbccbccbbbbbbcacbbbbbcbbbbcbbbcbbabacbcbacbbcbacbbbbbbbbbbbbbcbcbbbbbbbbbbbcbbbbccbbbccbbcccbcbcabbbabbabbbccbbbcbbcbacbcbbccbbbbbcbbbcbbbabbbbbccbccbbbbcbcbabbbaabbbbbbccbbbabbbbbcbbcccbbcbbcbcbbbbccbcbcbbbaccbcccccbbcbbcbccaccbcbbabbbcbbbcacbbbcacbcbabbbbbccbbbbcbbcbbccbaabcbbbbcbbcbbbbccbccbcccbcbbbbccccbbbbbbbcbcacbbccbbbbbbcbcbbbccbbabccbcbbbcbbbbbbbbbbbbcbbbccbcccbbcbbccbbacbbcbcbcbbcbbbbbacbbbbccbabcccbbcbbbbbcbccbabbbcbcbccbcbabbbcbbcbcbccbcccbcbbcbbbbcbccbbbbcbbcccbbbbcbbbcbccbcbbcbbcbcbbbbbbbcccbcbcccbbbaabbbbcccbbbbcbbccbbbbbbbccccbcbcbbbccbbbbbcbcccbcbcbcccbabbbaccccbbbbccbbbbbcbcbccbabbcbccbccabbcbbcbbabccabcbcbbcccbbbbcbcbbccbabbcbbbccbccbbbcbbbbcbcbbbbbbbbbbcbbcbbbbbbbbbacbbbacbbbbbcbbccbbbbcbbbbbbcbbabbcbbbcbbbcbccbcbcbbbbcbcbcbbbbbbccbbcbbbbbbabbcbbbbcbbbcbcbbbbcccccbbbbbbbbccbcbabcbbbccbcbcbcbbbbbbbbabbbbbcbccbcbbcccbbcaccbcbbbcbbbbbbbbccbbbbbbcbbbbbbbcbbccbbbbcccbcbbcbcbcbabcbbcbccbbcbbccbbbbbbcccbcbccbbbccccbbbbbcbccbbbbccccbbbcbbccbbccbbbacabcbcbabbbbcbbbbbcbbcbbcbbbbbbbbacbbcccbbcbbccbcbccbabbccbbccbcaccbbbcbbccccbbbcbbbcccccbcbcbbabbbbbaaccbbcbbbcbccbcbbbbcbbcbcbcbcbbbbccccbbcccccbbccbbcbbbbbccbabbbcbbcbbcbbbbbccbccbbcbbcbccbbcbbcbcbcbbbbcccbcacbbcbcbcbbccbbbccbabbccbbbcbbcbbbbbbbccbbbbcbbccbbbcbbbbbccbbccbccbbcbbacbcbcbcbbbcccccbcccbabcbabbacbbcbbbccbcbbbaccccbcbbbcbbcccbbcbccbccccbcbcbbccccbbccbbbabbbbbcbbbbcbcbcbcbcbbbbbbbbcbbbcbcbcbbccbcbbbcccbbbbcbabcbbcbbccbcbccaccbcbccccbccacabbcccbbcbccbbbcbccbbbbcbbcbbbbbcbbccbbbbbbbbcbcbccacbbbcbbbcbbbabcbbbcabcbbbbbcbbbbbcbcbcbcbbcbbcbabbbbcbcbbbbbbbbbbbacabcbccccbbbcbbcbbcbbbbbbbbbbbbcbbbcbbaccbcbcbcbbbbbcbbbbcccbbcbbcbccbbbbcbbbbccccacbbbbccbbbbbbabbbacbbcbbbbbbbbbcbcbbbbbbbbbcbcbbcbbbbbbbbbbbcbbabbbbbbcbbbcccbccbbbccbbbcbcbbbbccbbbbbbbcbcbaccbcbbbbacbbccbcabccbbbbbbcbbbcbbbcbbbbbbccbbbbabcbbbbbccbbbcbbbcbbcbcbbcbcbbbcbbccbbbacbcbbcccbbbcbbbbccbbcbccbbbbbbbcbbbbccbcccbbbbbbcbcbbbbbbbcbbcbabbbcbbabbcbcbbbccbbcbbbbbbbbbbcbbcbcbcbbcbbabbbcbbbbbbbbcccbacbccbbcbbbcbcbbbbbccccbccabbabccbcbcbbbccbbbbccbcbbcbbbbbbbcbaccbbcbcbcbccbbbbbcbcbcbbcccabcbbcbbbbcccbbbbbbcbbbbcbabcacbbcbbcbccccbbbbcbcbcbccbbcbccbcbbbbbcbbbbbbbbcbcbbbbbbbcbcbbcbbcbcbbabcbcbbbbbbbbbbcccbbbbbcbcbccccbbbcbbbbcbbcbcccbcbccbbabbcacbbbcbcaccbcbcbcbccbcbcbbabbbbbbbcccccbbbbbcbbbbbcbbaccbbbbcbbabbbcbbbcbbccbcccbbbcbbbcbbbabbbbbcbcbbbcbbccbbbbcbbbcbcbbbbbbbbcbbccbbcbbabbbbccbbbbcbbccbcbbbcccbbbccbbcbbccccbcbcbbcbbbccbbbccabcbbbcbcbacbbbccbbbbbbcbbcbbbbbcbcccbbcbbcccbbcbcbbbccbbbbbbbcccbbcbcbbbbcccbbbcbccbbbcbbbbcbcbbbcbccabbbccbbbcbbbbccbcbbbccbbbcabcccbcccbbcbcbbbbbbcbbacbcbcbcbbcacbcbbbbcbcbbbcbccccbcabcbcbcbcbbcacbbbabbacccbbcbbacbccccbbbcbbbccabbccccbbcccbbbbcccccbccbccabccccbcbbbbbbbcbbcbbcbbbbbbbcbbbacbbbbbcbccbcbbccbbcabbbbcabbbbabbcbbbbbbbbcbccbbbbbcbbcbccbcacbbbcbbabbbcccbbbbcccbbbbcbccccbccbbbbcccbbcbcbbbcbccbbccbbccbbbcbbbbbbccbcbbbccbbabbcbbbcbbcbbbbbbbccabcccbccbbbbbbcbacbbbcccbccbccbabbacbbabccbbcbcabbbbbabbabcbbcbbcbccbbcbbbbcacccbbabbbbcbbbbbabbcbaaccbbbcbccbcbbabcbbcbbbbbcbccbbcbbbbbabbbccbbcccbbbbbbbbbabccbbbbcbbbbcabbbbbcbbbcbbcbacccbccbcbcbcbcbcbccbcbcbcbbbbccbbcbaacccbcbbcbcbbccbbbbbccbbbbbcbcbcacbbcbcbbbbbbbbbabbcbbabacbbbbbbacbbcbcbbcbcbcbbbbbbbccbbbcbcbcbbbcbbccbbbbbccbcabcbcbccbbcbbccaacbcbcbbcbbccbbbabcbbccbbccbbbbbbccbccbcbcbcccbbbbbbbbbbbbccbcbcbccbbccbcbbcbbbbcbcabccbbcccbcbbccbbbbccbbbbbbcbbabccbbabcccccbbccbbbbbbbbbbcbbbcabcbbcbbcbcccbcbcbbbabbbbbbbbcbbcbbcbccbcbcbccbbcccbbcbcbbbbbbbbcbbbcbbbbcbbcbbbbccccbbcccccbcbbcbcbbccbbbbbcbccbbaccbbbcbccbbcbcbbbbbcbbbcbacccbbbbbbccbbcbccbbbbbccbbbcbbbbbbccbcccbcbcbbccbbbccbbcbccbbcbcbbccbbcbcbbbccbcbbbbbbbbcbcbcbbbcbbbbacbaccbcbcbcbcbcbcbbcbccccbbbbcbbcbcbbbbbcabbbbcbbccbbbbbbbbccbbbcbbbbbbccbbbcbcabbcccbbacbccbbbcbcccbbccbbcbbbbcbbbbbbcbbbcbcbbcccbbbbbcbcbcbccbbcbccabcbbbbcbbcbcbbccabbbcabcccbcbbbbbbbbbbbbcbbbbbcbbccbbccbbbbbccbbbbcccbbbbabcbccbbcbbbbacccccacbbabbbbbcbbbbcbbbbbbcccbbbbbcbbcbccbbabbbcbbccbbccbbbcbbbccbbccbcbbccbbbcbccbbbbcbbbcccbbcbbbbcbcbcabacbbbbcbbbbbbcbbbbbabcbbbbbbbbcbbbbcbcacbacbcbcbcbbcccbcbcbbbcbcbbbcbbabbbbcbbbbbbbbbbbcbcbabbbbcbcccacccbbbbbbbbbcbbbcbbbbccccbbbbccbbbbbccccbbbbcbbbccbabbbbbbbbccccbcbcccbccbbbbbbcbbbbcbbbbcabbbbccbbcbcbbcbcbbbcbbcbbbbacbbbbbbccbccbbcbbbbbbbbbbbbcbbbbbbcbbbbbccbccbbbbbbcbccabbbbabbbbcccbcbabbcbcbcbcbcbcbbbcccbcbbbbbbbccbcccbbcbcbbbbbbbbcbbabbbbbbbcabcbbabbbbaccbbcbccabcbccbbcbbccccbcccbbbabcbbbbbbbbbccbbbbabbbbcccacccbbbbbccbcbbcbbaccccabcbcbcbbbbbcbbbbbccbcbbbbcbcbccaccbbbbbccbbbccbcccbbbbabcbbcbbbcbccbbbcbbbbbcbcbbcbbbbbcbcbcbcbbbbbccccbbabbbcbbccbcbbccbbbbbbbbbcbbbbbbbccbabccbcbbccccbbccbacabbccbcbcbbbccbbbcbcbbccbbbcbccccbcbbbcbcbbcbbcbbcccbcbcbbcbbbcbbbbbcbbbbbccbbbbcbbbbbcbcbbccccbbcbccbbabcbbbcbcbccbabccbcbbcbbbbbabbbacbbbabbbbbbbccbcbcabbbcbabcbbcabbcbcbbbcccbbbbbcacbbcccbccbbbbbbbbcbbbcbcccbbbccbbbcccbbccbbabbbbbbcacbbbccbcbbbbbbbbbbabbcbbcbabccbcbccbcbacacccbbbcbbbcbbbbaabcabbcccccbbbcccbbbbccbcbbcbcbbbbcbbcbcccbcbbbcbbbbcbbabbbbbbbabbbccbcbbbbbcacbcabbbbcbbbbcbbbbcbbcbcbbbbbcbbbbcbbbbbcccbbbbbcbbbcccbbbbbcbccbcccccabbcbcbbcbcbbcccbbccccbbcbccbcbbcccbbcbcbcbbbbcbcbbccbbbbcbbbcaccbbccbcbbbcbbbcbbbccabbbccbbbcbbbccbbbccbbbcbbbbcbcbbbbcccbbbbbbbcbbbbbccbccbbbbcbccbbbcbbbcbbbbcbbbbccbcbabbbccbcbbcbccbbbbbbcaccabccccbcbbbcccbcbbbcbcbbcbbbcbbbbbabacabbccbccbbbbbcbbcbbbbcbacaccbbbabcbbbbbbbbccccbbcacbcbbbbcbbbcbbcbbbcbbbbbbbbbabbcbcbcbbcccbccbcbbcacabbbcccbbcbbbccbbbbbbbcbcbbcbccbbbbbcbcbbbcbbcbcbbccccbbcaabcbbccccbbbbccbccbccbbccabbcbabcbbbbcbbbcbcbbbbcbcbbcbabccccbbbccbbccbacbcbbbcccbcabbbccbbcbcbbcbbcbbbbbbbbcccbaabccbbbbbbbbcbbcbccccacccbccbabcbcbbccbcccbbbcbccccbbbccbbbcbbcbcbbbccbcababccbcbccbbcbbbbbcbbbcbccacbccbbcbbbccbbabbbccbbbcbbbbccbcbbccbbbbcbbbccbbbbbcbbcbbcbbbcbbcbbcbbbcbcccbcbbbbbcbbbbcbbcbcbbcccbbccbccbbbbbbcbcbccbacbcccbbbbbcbcccbcbbcbcbcccbbbbbbcbcbbccbcbcccbbabcaccbabacbbbbbbbbbcccbbbbacbbbbbccccbbbbcbcbbbbcbbbaccbcbacccbbbccbbbccbcbccbccbabbcbbbcbbbabbbccccbbcbbcbbbbcabcbccbcbcbbbbbbbcbbbbcccbcccbcbabbccbbabbbbbbbbbaacbbbcbcbbabbccbbbbbbcbccbcbbcbcbbbcabccbbcbbccbcbbbbcbcbbbbbbcbcbccabcbbbbbbbbbccabcbbbcbbbbcbcbbcabbbbcbbcccbcbbbccbbcbacbbbbbcabbbbcbcbbcccbbcbbbbbbbcabcbbbbbbcbbcccbcbbbabbbcbbbbbcbbbbcabcbabcccbbbcbbbbbbcbbbcbbbbcbbaccbccbabccbcbcaccbccbcbccbcbcbbcccbcccabbaccccbcacbbcbbbbbccbbcbcbbbbbbbcbcbcbbbbbcbbbbbbcbbcbbbbbcbaacbccbcbcbbbbbccccbbbcbcbbcbcbbbbbcaccbcbcbbbacbcabbbbbbbabcbcbcbcccbccbabcbabbbcbcbbbccbcbbcbcbbbcbbbbcbbbbbbbbcccabcbcbcbbbbcbbbcbcbbbbcccbbcbbbcbbbcbbbbccbbcccbcbcbbccbbbbbccbbbbbccbcbbbbbcbaccbcbcbbbbbbbbcbbbbbcbbbccabcbcbcbcbbcbcccbbbcbcccbccbbbbbbbbbcbbbcbaaabbabbcbbbccbbcccccbbbcbbbcbbbcbccbacbcbcbbbccbcbbccbbbcacbcbcbccbcbbbbcbbccbccccbbbbbbcbbcbbccbbbbcbbcbcbbcbcbcbbcbbcbbbccbcbbbbbcbbbabcbcbccbbbccbccbbbbbbbcbbbbcabcbabbbbcbbcccabbccbcbbcbbcbbbcccbbbbbbbcbcbbccbccbbabcccbbccbbbabbcbbbccbcbbbbbbcbbbcbbcbcbcbcbbccabbbcccbbbbbacbcbcbbbbcbccbbbcccbbcbbcbcbbbbbbbabcbacbbcbccbcbccbccccbbbbbcbcccccbbbbbbccbbbcbcbabcccbccbcbbcbbbccacbabbbccbbbbbcbbcbbbccbcbccaabbbbcbcbbbcbbbcbcbccbbbbbccbbcccccbbcbbbbbcbbcbbbbcbccbbbbcbacbcbccccbcbcbbccaccbbbbbbbccbccbcbbccbccbcbbcbbcbbbabcbcbbbbbbcbcbbcbcbcbcbbcbbbcbbbccbbbbbbccbbbcbcbbbbcbbcccbcbcbbbbbbbbbaccbabbcbcbbbbbbcccbccbcbbcccccbbbbbcbbbbcbbbcbcbbbbbccbcccbbcbccbcbbcbbbbbacbbbccbcbbbbcbabbbcbacbcbbbcbbcccbbbbcbbbcbbbbbbbbbbbcbbcacbcccbbbbbbcbccccbbccacbbbccbcbcbbccbcaccbbbbbcbbbbbcbbbccbcccbbbbbbcbcbbbccbbbccbbbabcbbcbbcaccbbbbbbbbbbbbbbbbbbbcbcbabcbcacbcbabcbbbccbcbcbbbccababccbbbbbbabcbcbbbcbbbbcacbcbbacbcbccbcbbbbbcbbbcbcbcbbcbcbbabbabbcbbbbbcccbbbaccbbbbbccbbbcbcbcbbcbbbccbcbbbbcbbabbcccbabbaccbcccbbbbcbbcbbbabbcbccbbbcccccbbbccbbbcbcbbbbbbcccbccbcbabbbbcbbccbcbbcbcbcbbbbbcbbbbccbbbcbcbbbbbbcbcbcccbcbbbbbccbccbacbbbbcacacbbcbbbbbbcbbbbcabbcbbcbcbcbbccbbbbcbbbbabbcbbbccbbbbbbbbbcbcbcbbcbabbbbbbbcbbabcccbbcbbcbbbccbcbbbbccbbcbcbcbccbbacbcbacbbcbcbbcbbcbcbbcbbbcbbbbccbabbbbcbbbbccbbbccbacbbcbcbbcbbbcbbacbbcbbcbbbcbbcbcbbbbbbbbcccccbbbbcccbccbbbbcabcbbcccbcbbccbccccbcbbcbcbcbccbcbbabcbbbbbbbbbbcbbbbccbbbbccbccbbbbbbccbbbcbcbbbbcccbbcbccbbccabcbbcccbcbbcbbccbcccbabcbbbbbbbbcbcbbcbbbbbbbbccabbbbbbcbcbcbbabbccbbabcbcbccacbbcccbabbcccbcbbbbbbcbbbbbbcbccabbbbcbaccbbbcbbccbbccbbccbcbbbcbbbbcabbbcccbbbcbbbbbabccbbbbaccbbcbcbcccbcabbcbbbbbbbccabcabccbcbbcbbccbbbcbcbbcbcbbbbcbcbbbbbcbcbbcbbccbcbbccbcbcbcbbabbbbbcbccbbcbbcbabbcbcbcbbcbcbbbbbabbbbbbcbcccbabbbbbcccbbccccbbbbbcbcbbcbcbbbcbccbbccbccbcbcbacbcbbbbbbbbbbbcbcbbbabbbcbbbabcbcbcbcbbbcbbbccbcccabbbbbbcbcbcbcbbbbcbbcbcbbcbbcbcbbbcbbcbcccbbbbcccccbcbbacccbbcbbbbcbbbcbccccccbbbcbbbbbcccbbbcbbabbbbbbccbbccbbbabbbbbbbbcbbbccbbcbbbbbcbbbbbbcccbbbbcccbcbbbbcbbbbcbbbbbbbbbcbbbbabbbcbbcbbccbcbbcbbcbccbbcbcbcbbbaccaabbbbbbbbabbbcccbcbcbbbcabbbbbbabbbbbbcbbbcbcbccbbbbababbbbcccbbccbbbbcbccacbbccbbbbbbbcbbccbbbbcbbbbbbbcbbbbbbcbccccbcbbcbcbcbbcbbbbbbbbcbbbcbbbbcbbbbbbbcbbbccbbbccbccbbbbcbbcbbcbbbbbbabbbbcacbbbccbbbbbbbbbbcccccbcbbbccbbbbbccbbcbccbbcbbccbcbcbbbbcbbabcbbcbbbbbcbcbccbbcccabbbbbcccbbccaccbbbcbcccbbcbbbbbbcbcbbcbbbbcbbcbcccbbbbbcbcbbccccbcbbbbccababcbbbbbbbbbcbbbccbbcbbccbcbcbcbbccbbbbbcaacbcbbcccbbbbbccccbabccbbabcccbbbcaabbbbbccccbbbbcbbcbbcababaccbbbcbbbbbcbbbcbbccbbcabbbcbbbbacbcbccbbbbcbcbcbccbbcbcbcccbabcbbcbbacbabccbbbbbcbbbbcbbbbbcbbcbcbcbbbbcbbbbcbccbcbbccbbcbbbcccbbbbcbbacbbbbbcbbbbbbbbbbbbcbcabbcccbcbbcbbbcbcbbbcbbbccbccccbabcbbbcccbbbbbbbbbbcccbcbbbbbccbbbbccaccbbbcbcccbccbcccbccbbbbccbbbcbbcbcbcbbbbbcbbbbbccacabbcccbcbbbbbbbccbbcbbbbcbbcbcccbbabbcbbcbccbccbcbbcbbbbacbbbbbacbbbcbbbbcbccbbccbbbcbbbbbbbcbabbbccbcccccaabbbbbbbcbbcbbbacbcccbbbcbbccbbcbbccbcabbcbbbbbbbcccbbbccbbccbbcbcbbcbbbacbbcbbbbbbcbbbbbbbabcbcbbcbbbccbbbcbbbbccbbcbcbcbbbbccccbbcbbcbbbcbacbcbbbcbbbbbcbbbbcccbcbbbcbbbccbccbaccbbcbcbbbbbbbbbcccbbccacacbbbbcbcbcbbbbcbbccccbabbbbbaccbbabcbbbcbbbbcbccbbccbacbbcbcbcbbabcbcccbcbbbbcbbbabbbbbcbbcbcbbbbbcbbbcbbcbbcbbbbcbbcbbbbcbbccccbbcbbbbbbbbbcbcbcbcbbbbbccbbbbcbbccccbbbbbbbbbbcbcbcbbcbcbccbbbbcbbbbbbccbbcbbbbbbbcbacbcbbcbcbcbabbbbbccbcacbbbcccbcbbbbbbbbcbbcbbabcbbbbccbcccbbbbbcbbbcbbcbcbbcbccbbcbbbccbcbcccbbcbcabbbbcbbbbbbbccbbbcbabcbabcbbcbbcbcccbcbbcbbbbabbbbcbbcccbabbbbccccbbcbcccccccbbbbabcbcbbcbbccbbbbcacbcccbcbcabcbcbbbbccbccbcbbbcbccbbbbbbbcbccbacbbbcbbbbcbabbbbbbbbabbbbbcccbbbcbbbabcacccccbcbbbbcaabbbbbabbcbccabcbbbbbbbbccbcbbbbbbbccbbbbcbbbbbcbbbbccbbcbabbbbbccbcbcbbbbbbbcccbbabcbbcbbabbbcbbcccbbbbbbccbbbccbbbbbbbbcbbcccbcbbbbcbbbccbbbbbcbbbcbabcbcccbccbccbbcbcbbcccccbbbcbcbbcbbcbbcbcbbbccccbbcccbcbcbaccbabbccbbbababbbcbbcbbbcccbccbbcbbbcbcbbabbbbbbcbbbcbbbbcbbbbbbcbbcbcbccbbbbccbbcbbbbccbbcccbbccbcbbcabcbbbbbcbbcbbaccbbbbcbabbcccbabaccbbccbbbbcbabbbbccbbcbbcacbbccccbbcbbbcccbcbbcbbcbbbbcbbacbbccbbcbcbbcbcbcbccbabbbcbbcbbbcbbbccbacccacbbbbbcabcbbbcbbbbbbcccbbcbbbbbccbccbbbbbcccbbbcbbcbbcbcbcbbcbabcccbbbbbcbbbcbbcbbbbbccbcbbbbbbbbcccbcbbcbbbbbbcbbbbccccbcbbbccbbcccbcbbbbbbbbcbbbbcbbbbbccccbccbcccbbbbbbbbcccbcbcccbbccbbcbccbcccbccccbbbbbbbbbcbbcbbbbbbbbcbcbbbbbbcbbbbbbbbaccbcbccbbbbbbbbbacbbbbcbcbbcbbbcbbccbbbccbccbbbccbacbbbbcabcccbcbbbbcbbbbbcbcbbbacbbbbcccbbbbbbbcbbbcbbccbbbcbbccbccabbccbbbcbcbbccbbbbbbccbccccbbbbbcccbbbbcbcbbcbbccbbacbabbbbbcbabbbbbbccbbbbbcbcbabbcbcbcbcbbbcabbbccbbcbbcbbbbbbbbcbccbbbbcbbcccacbcccbcbbbbbbbccbcbcbcccbbcbcbcaccbbcbcbbabbbbbbbbbcbbbbbbbcbbbbbcccacbcbcbbbcbbcccccbcbabbbbcbcbbbcbbbbbbcbccccbbccbcbbbccbcbcbcbcbcbbbcbbacbbbbabcbcbbccbbbbcccabbbbccbbbcbcbcbbccbbbccccbbbbbaaabbccbbcbbcbbbbbbcbcbbccbbbbbcbbcbcbcbbbbcbbbccccbbbcbbbbcbbcbbccbcbcbbccbbcbbbbbacaabbccbbbaccbcbbcbbbbcbbbbbbbcbbccbbcbcabbbcbcbbbccbabcbbbcbcbbccccbbccbbbcbbbbbbacabbcbbbbbbbabbbccbcbbcbcbbccbbbcbbcccccbbcbbbccccccbbcccbbbbbbbcbcbbbccbcbaabbccbbcccbcbcbbbbcbbbbbbbbcccbcbbbbbcbbbbbcaccccabbacbccbcbcbbcbbcbcbbacabcccbbbbbbbcbbbbccbbccbccccbbcbbbacbbbbcbbbcbccccbbbcbcbbcbbbbcbbbbbbbbcbbbabcbbbbbbbbbccbbbccbbbbbcbbccbcbbccbcbacbbabbbbcccbbbbabcccbbbbbcbbcbbcbbbbbcbabbbbbbcbacabccccccbcbbbbccaacbcbcbbbbccabbbbbbbbbbbbcaacbcbbabcbbbbabcbcbcbcbcbbbaabccbcbcccbcbbbbbbcbbbbcbcbcbbbcbbcbbbbbccbbcbccbbbccbcbccbbcbcbcbcbccccbabcbbcccbbcccbbbbcccbbcbccbbbbcabbccbbbabbcccbaabbbcbbbbbbbbcbcccbccbcbbbbbbcccbbbbbcbccbbbbcbbbcbbbbabbbbbcbbccbbccacbbbcbcbbcbbcbbcbbccccbbabcbccbbbbbccbcbcbcccbcbcbbbbcbbbccbababcbbccbcccbccbbbcbcbbbbcbbbcbcbbccbbbbccbbbcccacbccbcccbabcbcbabbcbbbcccbbbbbbbcbbbbccccbabbbcbbbbcbccbcbbbcbbbbcbbbbccbbbbccbbbbcccbbbbcbccacabccbbccccbbcbbcbcbcbbcabbcccbccbbcbbccbbbbcbcbbbcccccbbbbcbbbbcbbbbbbbcccbcbbbbbbbbcbccbbbcbbbbccbbbbbbbcbbbbccbbbcccbcbbbccbbcbbcabbbccbcbbcbbbcccabbbbbbabbbbbccbbcbcbbccabbbbbbbbbbcbcbcccbbbcbabbbcbcbcbbccbcbcbbcbcabbbbbbccccbbbbbbbbbbbbccccbccbbbbcbcbbbbbbbcbbbbbbbbbcccbbbbbbbcbcbbbccbbcbbbbcccabbcbccbbbcbbcbbbabbcbbbcbbbbbcbbbbbbbcbccbbbbbcccbbcbbcbbcbcbacbbbcccbcbbcbacbbbbcbbbccbbcbcbabacbbccccccbcbbcbcbacbbcbcbbbbccbbcbcbbcbccbbbbcbcbcbbcccbccbbbbbbbcccccbbbcccbbabbccbccbbbbcbcbbccbcbbcbbbbbcccbbbccbcbbbcbbbabbbcbbbcbbbbbbcccbbbbbccccbbccbbbbbbbcbbcbbbbbbabcbcbbbbccbbbcbbbbcbbbabbbccbbbbbcacbcccccbbccbcbabbcbbbaccbbbbbbbcbbbbccbcbbbbbbbcbbcbbcbbbcbcbbbbcbcbbbbbaacbcbbcbcbbbbbbbbbcbccbbcbbbcbcbcbcbbbccccbccbcbbccbbcbccbbcbbccbbbbbcbbbbbcbbbbbbcacbbbbbbcccccbbccbbcbbcbbbbbcbcbcbcbbbbbcbbcbbbcacbbbccbbbcbccbacbccccbbbbbbbbcbcbbbcbccbcbcbcbcabbcbcbbbbbbbcaabbcbbbbcbbbbbbcbbbbbbbcccbbbbbbccbbccbbbccbcccbbbcbcbccbbbbbbbbbccccbbbbccbbbbcbaccbbccbcbbbcbbbbbcbbabccbbabcbcbbbbcbbbbbbbbbbcbcbccbbbcbbbbcbbbbcbbbccccbbccbcbbbbcbcbbbbbbbbbbbccaccbbbcbbbbbcccbbbbbbcbcbcbbbbbbbbcbbbbbcccbccbcbbbabbbcccbcbcbcbbbbbcccbccbbbccccbbbccbccbbbcbbbbcabcbbbbbccbbbbcbbcbabbcccbcbbbccccbbbcbcbcbbbbbbbbbbcbbcbcbacbbbabbbbbbbbccbcbabccccbbbccabbabcccbbabbbbbcbcbccbbbbbcbccbcbbccbccbbbcbbbcbbcbbbbbbbbabcbbccbccbbbcccccacbbccbccbbcccccbcbbbcbcbbbbbbbccbbbabbbcacccccabcbcbbbcbbcbbbbbccbbbbbccbbbcccbccbcbaccbbbcbccbcbbbbbbcccccccbcccbccbbbbbbbbbbcbbcbccbbcbccccbbcccbccbbccbccbbccccbcbbbbbbcccbcccbcbbbbbbbbbbbcccccbbbbbcbcbbcbbccbccbbbbcbcbbcbbbccbabbbcbbbbbcccbbbcbbbccbccbcbccbcbcabbcbabacbbbcbbbbcbbcccbcbcbacbbbbbbbbbabbbcbbccbcbbcbccbbbbcbbbcbbbcbbbcabcbbcbccbbccbcccbbbcbbbbcccacbccccbbcbbbbccccbbbcbcbbbbbbabcbbbbbbbcbbbbbbbbcabbcccabbccbbcccabbcbbcbccbbbbbabbcccbaccbbccccbccbcbccbbbcbabbcbbbbbbbacbbbbbbbbcbcbbccbbcbbbccbcbccacccccbbbbbbbcbaccbcacbbbcbbccbbbcbbbcbcbbabbbbcbcbbbccbbcbbbccbccbbcbbbccbbbbccbbccbcbbcbbbbcbcbbbbbcbbcbbabccbbbcccbbbccccbbccacccbbbbcbbcbcbbbcbcbbcccbbcbacabbcbccbbcbbbccacbaccbbbcbbbcabbccbcbcbbbcccbbcbbccbbbbbcbbbccbbabcbbabcbbccbccccbccbbbbcccbbbcbbcbbbccbcbbbbccccbcbbbcbbccbbccbccbbcbbcccbbbbbcbbccbccbbcbbbbcbbbbbcbbcbbbbbbbbcbbbcbcbbcccbbcccbbbcbcbcbcbcbcabccbbbbbcbcbccccbbbbbcccbbcccbbbbbbbbbcccbbbbcbbcbacabcbcabcbbccbbbbbbcbbbccbbbbbbbbbbbcbcbcbbccbbccbbbbbcbbbbcbcbccbcbcbbbbbbccbccbcbcbbbbcbccbbcabbabcbbbbccccbcbbcbbcccbccbabbbccbcbbbabcccbbbcbcccbbabcccccbbbbbcbccbbcbcbbccbcbbccbbcbcbbbccbbbcbbccbccbbbbccbbcbbbbbbbcccbbaccbbbbcbbbccbccbbbcccabbabbccbccbbbcbbcbbbbbcbcbccbbccacbbbacbccbbbbbcbbbbcbbbcbbcbbbcabbbcbbccbbbbcbbbbbbbcbbbbbcbbbcbbabbcccccbcabbcbcccbbcbabbbcbcacbbbbbcccbcbbbbbbcbbbbbbbcbcbbbcbbbaaabcbacbabbbcbcbbbcbcbbbabcbbbcbbbbcbacbbbcbbcbcbbaacbccbccbbbbccbbcbcbbbbcbbcbbcbbbbbbabcbabbbcccbcbcbbbcbbbcbbcacbbcbbbcbcbbbbcccccbbccbacbbacbbcbbcbcccbbccabbcbbcbbcbcbbcbbabbbcbbccbbcbbbcbbbbbbcbbbbccbbcbcabccbbbbcbccabbcbbbbbcbaccbbbbcbbcbbccbbccccbcbbcbcabbbbbbbcbcbbbcbbbcacbbcbccbbbcbcccbbbcbbbbbabcbbcbbbcbcbcbbcbabcbbccccacbcbbbbbbcbbbbbbbbbcbbccbbbcbbbccbcbcbbccccbbbbbcbbbbcbababbbcbacbbccbcbbbccbcbbcbaccacbabbbccbbbcbbccccbbbbbbbbbcbbcbabccbcbbbbbbccbccbccbbbcbbbbcbbccbbbbcabbcbbbbbccbcbcbccbbbbbbbbbbcbbcbbbcbcbbbccccccbbbbcbbbbbcbcbbbcbcbbcbcbbbccbcbbbcbbbcbcbccbbbbcbccbcabbbcabaacbbcbcbbabbcbbbbbbbbbcacbbcbbcbbccbbccbcbccbbbbabcbcbcbbbcbbcbcbbcbbbbbbbccbbcbbbbbccbcbbccbbbbbccacbbbbbbbbbcbcbbbcbbbbcccbcbbccbcbabcbbbbbbcbbbbcabccbccbbccbbcbbbacbbcbbbbbbcbbcbbbbcbbcccbcbcbbbbbccbcccbcbbbbcabccbabccabcbccbbbbbcbbcccbbccbbbbcbbbbcbbcbbcbcbaccabbbbbbbbbcbbabcbbbcccccbbbbcbbcbccbbbccbbcbbbcbbcccbcbcbcbbbcbbcabbbcbcbbbbbbbcbccbbbccbbbbbbbbbbbcbbcbbccccbbccbcbbcbbbbbcbccbbbbbbbbbbcbcbcbbcbcbbcbcbbccbbbccbcabbbcbcbbbbbcbcbbcbbbbbbbcabcccbcbbcbcbcbccbcbbbcbbcbbcccbbbbbbbbcbbbbbbbbcccccbcbbcbbabbbbabccbccbbbbbbbcbabbcccbbbbccbcbcbcbccbbbbcbcbbbbbbccccccccbcbbbbcbccbbccbbcaacbbbcbbbbbbbbccbcbbbbbcbbcbacbbcbbbcbcbbbbcccccbbbcbbbbbbccbccbbbbbbbbcbccbbbbbcbbbbbccbbbbccababcbcbbbbbcbbbbcbcbbcbcbbbcbbbbcccbcbbabbbbbbccbbcbcbbbbbbbaaacbcabcccbbaccbbcbbbcbcccbbbbcbccbbbccbbccbabcbbbbbcabbbbbccbcbcbbbbcbbbcbbbccbccbbcbbccbacccbbcbcbbbcbcbbbcbbccbbcccbbcbcbbbcbcbbcccbbbbcccbbbcbbbbbbbbbccbbbccccbbcbbbcbbcccbabbbaccbcbbbbcbbbccbbcccbbccbbcccbccbbbbcbccbcbbbbbbbbccccbbcbbbbbbcabcbccaccbbbcbbbbbbbbcccbbbcbcbccccbbbbcbbccbbbbccabcbbcbbcbcbbcbcbccbbabbccccbbbccaccbbcbbbbbbbabbacbcbbcbbccbbcbbbcbcbbbcbbbcbbbbabbbcccbbbabbbbbbbbcbcbbbccbbcbabcbbbbcbabbbbcbbbabbbbbcbbbbcbbcbbcbbbbbbcbbcbbbbcbbbbbcbcbbcccbbbbcbbbbbacbbcbaccbbbbcbaccccbbccbbbcbcbbbcccbbbbbbcbcbbbbbbbaabcbbbbbbabbbbbbcbbccbbbbbbbbcbcbcbbbbbbbbbbbcbccbbccbbbbacbcabbcccbbbbccccccbbcbcbbcbcbcccbbbbcbbbbaccabbcbbcbbbcbcbcbbcbbbacbcbbcbcbbccbccbbccbcccbcbcbbbbbccbbcbbbbcbbbbcbaacbbbbccbbbcbbbbbcbbcbcbbcbbccbcbccbccaccbcbbbbbbbbcccbbbbcbcbbbabcbbcbabcbbbbbcccbcbabbbcbbbcbcbbbcccbbbbcbbababbbcbcccbbbbcccccbbbbcbccbcbcbbcbccbbbccbcbbbcbbbcbbcabbbbccbcccbbbcbccbbcbccbcbcabcbcbbccbbbbbbbbbbcbcbbccbbbbcbcbbcbcbbbbbbcccbcbbbcbbcbbbbcbbbbccbbbccbbbbbccbcbcbcbcbccabbcbcbbbbbbbcbbaccbbbbcbcbcbbbcbbbcbccbbcbbcbbbbbbbbcbbbbbbbbbcccccbbbbbbcbcbcbbbcccaccbbbbbbbccbbaabbbcbbbccbbbcbccbcccccbcaccbcbbbbbccbbcbbbccbbcababbbbcbcbbcccccbccbbcbcbcbcbbccbbcbbbcbcbcbbbccbccbccbbbcbbbbbbcbbcbbacbbccccbccbbbcbcbbcbcbbbbcbbbbbbcbcbbcbcbccbbbbbcbbbbccbbbbbcbbbbbcbbccbbccbccbbbccbbbbbbbccccbbccbbcbcbbbbbbbbbbbbbbabcbcbcbbbcbccbbbbbbbccbacbbbbcccbbbccbcbbbbbcbcbbbbcbbbcbcbbcbcbcbbbbbbbbbccbbcbccbbbccaabcbcabbbcaacbabcbbcbbccbbcbcbbccabcbcbcccbbcbccbbbacbcbcbbbbcbccbaccbbcccccbccbccbbbbbbcbbababccbcacbbccbbcabcbbbccbbbcbbbbbbbbbcbbbbbacacbcbbcbbbbbbbbbcbbbbcbbbccbcacbbbabbabbbbcbcccbcbbbcccbbbbbbcccbbbbcccbbcbbcccbcbbcbbbcbbbcccbcbbcbbcbbbabbbbccbcbbbbcbbccbcbbcbbcbabbcbbcbbbbcccabcbbabbcccbcbbbcbbbbbccabcccbccbbbcacbbbbbcbbcbbbcbccbcbbbbbcbbccbbcbbbbccacbcbbcbccbabcbbbbccbbbbbbbcbcbbbcccbabbcbbbcbcccbbbbbbbbccbbcbbcccbccbbbbcccbbcbabbccbcbabbcbbcbbbbbbcbbbbccbbabbbccccbcbccbbcbbbcbbbbcccabbbcccbcabbbbbabbbcbccbbbbbcbbbcbbcbbbccbcbcbcbbcbabcbbcbbccbbbbbbbbbbbbacbbcbbcbbccbbcbccbbbbcbbbbcacbccbcbbbbbbcbbbbcbbbcbccbbcbbbbbcbbbcbbbcbbccbccbccbcbcbbbbbbccbbbbbbcbbcbbbbcbbbbbcbcbbbbbbbbbbbbbbbcbcbbbbbbbcbbbcbbbcccbccccbbbcbccbbccbbcccbbbbccbbcbcaccabcccbcccbbabcbbcacccbbbccbbcbbbbbccbcccbcbbbcbacbcbbcbbbbbccbbcacbbbcccbccbcbbbcabbcbcbbcbbbcccbbbbbcbbbcbacbbbbcbbbbcbcbbbcbccbbcbbbcbccccbbabcbbbcbbbbbbbabcbbbbbbcccbbcabbbbbbbbbbbbccbcbbbcccbbbbcabbbbbcccbbbbbbbbbbabbcbcbcbbbbbcbbbbbbcbbbcbbbbcbbbcbbbccbbbbccbbbbbcccbbbbcbbbccbccbccbbbcbcbcbcabbabcbbccbbbcccbbcbcbcbbbccbbbcbbbbbbccbcbbbcbbbccbccbcbcbcbbcacbccbbbcbbcbcbbbbbbccccbbcbbbbbbcbbcacbbbcbcbbbbbcbabbacccbbbbcbbbbccbbccbcbbcbcbbcccbbaccbababcbbbcbbbbbbbbbacbbbaccbbcbbbcbbcbbbbbbabbbbbbccbcccbbcbbbbcbbbcbcccccbbbbbcbccbbbbbbbbbcbbbbbbbcccbccbccbcbbcbcbcbbbbcbcbbcbbbbcbccbccccbbcabbbbbcbbbcbbbbbbccbbbcbbbcccacbbbcbbcacbcbbccbbbbbbbbbabbbbcbbcbccbbbbbbbbbcbcaccccbcbbcbbabbbbbcbccbbaccbbacbbbbccbbbbcbbbcbbbabbcbbbcaabcbbbccbbccbbccbcccccbbccbbcbabbbbccbcbcccbcbabbbbbbbaabbccbbccccbbccbbccbccbbbccabbcbbcbcbbcbbbcbbbccbbccabbcbcbbacacbbcabccbcbbbbbccbcbbbbbbbbbcbcbbcccbbccbbbcbbbcbcccbbbbcccbbccbccbcbbcbbbcbcbbbbcbcbabcbcbbbacccbcbccbbbcccbcbbcbcbbbccbbbbbbbbbbccbcbabbcabbbcbbbbbcbbcccccbcbbcbcbcbbcbbbabaacccbcbcccbbcaccbbbcbbbccbbbbabcbbcbbbcbbbbbbbbbcccccbbbbbbacccbcbbbcbccbccbcbcbbcbbcbbbbbcbbbcbbccbccbbbbccbbbcbbbccbbcbbccbccbcbcbcbcbbbcbbbcbbabbbbacbbabaccbbbbcbccbbbbbcbbbbbccbcbbbccbbbbcbbbbbbbbbcbbcbcbbcccccbbbbcccbcbbbbcbbcbbbbbbbcccccbcbbbbbcbbccbbbbccccbcbbccbbbcbbcbbccccbbcbbacbbbbbacabbbbbcbbbbbbbbabcacbbbbbcbbbcccbcccaacbacbbbabbbbbcccbcbccbbccacccbbbcbbbcbcccbbbcacbcbbbbbbcbbcbccbcbbbcbcccbcbcbcccbcbbbabbbbbcbbbbcbcbbcbbbbcbbbbccbbbbbbcbbbbcccbbbbbbbccccacbcbbccbcbbbabbbbbcbbcbbbbbbbbbccbcbbbcccbabcbcbbbbcccbbbcabbbbbbbbcbbbcbbbbbbbbccbbcbccbcbabbbcbcbbbbcbbbbbbbbbbbcabbcbbbbbccbcbbbabcbcbbbbcbcccbbbccbcbbabbcbbbbbcbcbbbbbcbcbbbcbccccbcbbbcbbbcbcaccbbbbbbbbcbabccbbbbbbbcbcbbbcbbcbcbbbbacbccbbbbbbbbccbcccccbabbcacccbbccbbccaccbbbbcccbbaccbcbcbbbcaabcbbcbbccbbcbbbccccbbbcabbbbccacbbbbbbbcbcbcbabbbcbbcabbccccabcbcbbcbbbcbbcbbbbbacccbbbbbabbccbbbbcccbbbbcbabbbabbbbbbbccbbbbbbbccbbbbccbbbbbbbbbbbbccbcbbbbbbbbccbbcccbbbbbcbcbbbccccbcacbbccbbbbbbcbcabbabccbbbbbcccccbbbcccbbbcbbabccbbbcbbbbbbbbacccbbbcbcbbcbbcbccbbbbbbbbcbccccbbbbcbccbbbbbbcbcbbbcbbbbbbcbcbbbcbccbcbbbbbccbbcbbbcbbbcbbbbbbbcbcbbccbbcbccbcbbbcbbcbccbbbbbabcabbbbbbcbbbbacccbcbcbbbbcbbbbbbcbbcbbcbcbcbbbcbbbcbcccbbaccbccbcbccbccccccbbcbbbccbbbcbccbbbbcccbcbccccccbcbccbbcccccbbacbccbacbccccbbbcbbbbbcbababbbbcbcbcbbbbacccccbbbcacbbabbbbbcbbcbccbbcccbabcbbbbccbbbbcbabccbbccbbbbcbcacbccbccbbbbccbcbbabbcbbcbbcbbcbbcbbbabbbbbbbcbbbbcbccccccbbbaccbbcbbcbcbccbbbbccbbacbbbbbbbbbbbbcbcbbbbcbcbcbbbccbbbbbcbbcccccbbbbbbabbabbabbcbcbbcbbbccbbcbccbbcbbcbbbbbcbccbbcabcbbbbbccbbccbbbbbbcbbbbbbcbcccbbcbbbcbbccbccccbbbbbcbcbbcccbbbbcbbccccbbbcbcbbbbcbcbbbcbbbcbcbcbcccccbcbbbbbbccbbcacbcccbbbbbbbbbbbcbbbbcbbbbbbbbbcbcbabbbbbbbbbbbcbcbcacccccbcbcbbbbccbbbbcbbcabcbbbbbcbacbccbccbcbbbcabcbccbcbbcbbbcbcbbcccbcbbbbbbccbbbcbabbabcbbbbbbbccbccccbbcbbbabbbbbbcbbccbcbbcbbcccbbbbbcbcbbbbbbbccbcccabbbbbbcbcbbbcbabbbcbbbcccbbcbbbabbcbcbbbbccbcbbbbbbcbcbbbbaabcbbbbbabbbbbbccbccbbbbbbbbbbbbccbbbbcbbbccbbbbbccbcbbbacbbcbbccbccbbbbacbbcccbbcbbbbbbbbbcbbcbbbbbcbcbabbcbbcbccbbcccbbbcbccbbbbbccbbbcacccbbccbbbbbbbbcbcccccbccbbaccbcbbcbbcbbbcabcbcbcbbbbcbaabbbbbccccbacbbbcbabccccbcacbcbbbbbcbbbbbbcbbcbcbccbbbbbcbccbbbbbcbcbcbbbbbcbbbcacbcbccaccbbbcbbbbbbbbbcbccccbbbbccbcbbbcbcbcbbbbbcacbbbbbcbbcbbbbbcccbbcbbcccbbbbbabbbbcbbbbccbcabbcbbccbccbbcbbccbcbbcbbcbbcbabbcbbbbbbbcbbbcbbbccbbbbbbbbbbabbcbbcbcbabcbcbacbbbbcbbbcbcbbbcbbbbacbcbbbcbbbabcbbcbcccbcbcbccbbbcccabbcbcbcbcbabbbcbbbbbbbcbccbbbcbcbbccccbcbcbbabbcbcbcbacbbbbccbbbbcbbbccbcbbcbbbbbbbbcbbcccbbbbbbabbbbcbbbbbbbbbabbccbcbbbbcccccbcccbbcccbbbaccbbbbbbbbbbccbbcbabcccbcbbbbcbbbcbbcbcbbbbbbbbbbbbbbbbbcbcccbbbbcbcbbccbbbbcccbcbbbbbbbbbbcccbbbbbbbbbcbbbbbcccbbcbbcbccbbbbbbbbcbbccbbbbabbbcbbbccbcacbbcbbccbcbbbbaccbbcaccccacbbccccbbbccbccbacbbbbcbbccbbbbbcbbcbbbbcbcbbcbbbbcbbbccbbcbcbbcbbbcbcbbbbbbbbbbbbbbbbbbbccbcbbcbbccbcbcbcbbbbbbcbbabbcbbccbbcbbbbcbbcbbcbcbbbcabccbcbbcbcbccbbbbbcbbbcccccbccbcbbbccbbbbbbbbbbccbbbcbbccbbbccbbbbcbcccbbcbbbbbbbbacccbbbbbcacbbbbcbccccbcbcccbbcacbccbbbcbcbbccbbcabbbcccbccbbcabcbbbabbabcbbbbbbcbbbbbbcbccbbbcbcabbbbcccbbabcbcbabbbcccbbbbbbcabccbbbcccbbcccbccccbccccbcbbbbacbbcacbbbcccbbbbbccbbbbccbcbbbccbbccbccbcbbbcbcbbbbbbcccccbbbbcbcbbcbabbcbbbbbcbbbbcbcbbcbcbbbcbcccbbbbbbcbccccccbccabbbbbbbbbbbbbbbbbbbcbbcbccbcbccbbbcabbaccbbbcbbbbbbbcbccbbbbbbbbbbcbbbbbbcccbccbbbbcbbbbbcbccbbccbbbbaccbbbbcbccccbbcbcbbcccccbbcbbbbbcbbbbccbbbbbbbcbbbcbcbbbbbbbccbccbbbbcbbbbcbbbbbcbbbbbcbbabcccbbbbcbcccbcbbbbcbbccbbccbcbbbbbbcccccacbbcccbcccabbbbbccbbbcccbcbbbbcccbcbccbbbbccbbbcbbcbbcccbcbbbbbbbbbbccbbbcbbbbcbcabbbbccbcbbbbbbcbbbccbcbbbbbbabbbbbbbcbbbbcccbbbbbbbbbbcbbcbcbbbcbccbcbbacbcccbbbaccbccbbbbbbcbbbbbbbcbbccccbcbabbcbbbbbbcbbbbbbbbbcbccbbbacbcbbbbbbcbbcbbccbcbabcbbbccbccbcbcbbbbbbccbbcbbbcbccbbbccbbbabcccbbbbcbbbcccbcacccbcbbccbbbccbcbbbbccacabccbcbbbbbbcccbbbccbbcbcbcbcbbbcbbbbbcbbbcbbbbbbbcbbcbbccbcbbabbbccbbccbcbbbbbbccbccbbbcbccbbbbbcbcccbcbbcccbbcbcbccbbcbabcbcbbcbbccccabccbccbbbbcbbbbbcbbbbbbbcbbccbcbbbccbbbcbcabbccbbcbbcbbbcbbbababcbbaacbcbcbbabbccccbcbbbcbccbccccbbabbbcbbbbcbbbbbbbbcacccbbccbbbcbccbbbccbbbbcbcbbbccbbbbbbbbcbbbbbbcbbbbbbcccccccccccbcccbbbbbbbbbccccbcccbbbcbbcbcbcccbbacbcbccbcbcccccbbcbcbbbccbcccbbabbccbcbcbbccbcccaccabcbbbcabbbbbbbcbcccbbbbbbbccccbcabbbbbbcccbbcbbbcbcbbbbbbbcbbabbccbbbbcbcbcbcbbbcabbbccbabccbcccbcbbcacbccbabbbbccbcbbbcbbbbccbbbbcbcbbcccbcabbbbbbacbbccbcbbcabbcbbbbbbbcbcbcbbcbbbcbacbbcbbbabccbbbcbcbbbbbbbbbbbbbbccbcbcccbbbcbcccbccbcbbbccbbbbbbbbcbbcccbbbcbcbccbbccbcbbbbbbcbbbcbbbbbcbbcabbbcbbcccabbcbbbbbbcccbabbbbcccbbbbbcbbbccbcbbbbbcbbcbcbbbcccbcbbbabcbbbbbbbcccbcbbbbcbbbbbbbbabcbbcacbbbbabccbbcccbbcbbbccbbcbbacbbbccbcbccbbbbbcccbbbccbcbbcbbbbbbbbcabbcbbccccbcbbcccabbbccbbbbbccbbcbbbbcbccbbbbbcabbbccbcbacbcbbccbbbcbccbbccbbbcbabcbbbbcbbcbabbcbcbbbbbbcbcccbbbbccbcccbcbcccbcbcccbcbbcbcbcbacbbcbbcbbbcbcbbbcbbcbbcccbbbbcccbbbbbbbcbbbbcbbcbbbcbbcccabbbbbcccccbbbaccccbbbbbcccbbbbbcbcbbbbccbabcbbbcbcccbbbbcbcbbbbbcbcbbbbcbbbbbbbbbbbbbbbbbcbabbbbbbccbbcbbbbcbccbbabcbbbcbbbbcbcbccbbbbbacbacbcccbbcbbbbbbccbcbcccbabccccbbcbbbbbbbbbbcbbbbbcbcbbacbcbbccbccbbbbbbccccbcbbcbcbbbccccbbbbbbbbaccbbcccbbbbbcccbabcccbccbcbbccbcbcbccbbbcbbbbbbbcbacbbcbccbbabccbbbbcbbbbbbbbcbbbcbccbbccccbcbccbcbcccccbbcccccbbcbcbbcabbbbccbbccbbcbcbbbbbbcbcbabcccbbcbcbbbbccbccbcbccccbbbbbcbbbbbbbaabcbbcbcbccbcbcbbbbbbcbbbbbcbccbabbbbbbbbbccbbcabacbabbcbbbbbbabcccbbaccbbccbbbbcbbbccbbbbcbabbbbbbcbbbbcbabbbbbbbccccbbbbbcbcbbbbcbcbbbcbbcbbbbcccccbbbacacbbbbcbbcbbccbbbabcbaccbcbbbbcbcbcbbbbbcbbbbcbbbbabbcbccbccbbbcbccccabcbcccbbcbccccbbbbbcbbbcbccbbcbbbcbcbccbcbbbccbcbcbcccbbbcbbbbbccbbbbbbbcbbccbbcbbbcbcbbcccccbbbbcbbbabcbcabcbabbcbcbbbbcbbbbbbcccbcbcbbbacbabcccbbbccbbbbbbacbbccbbbbbcbcbbbbbbbbbaccbcbbccbbbcbcbbbccbbbbcbbbbbbcbbbcbbbbcccccccbbbbcbcbbccccbbcbabbaccbbbacbbccbcbcacbccbbbbbcbbcbcabbbbabcccbcbbbbbbcbbbbccbbccbbbcbcbccbcccbbbcbbcccbbcbacbcbcbcccbbcbcccbbccbcbbbbbbcccbbcbccbbcbbbcbcbbbbccbbbbbcbbbcbbacbccbbbcbbbccbcbbcbbbbbbcbbcbbbcbbbcbbccbbbcccbbcbabccbbcacbcbbbcccbcbccbbcbacbcccbbccbbacbcbbbcbcccbabcbbccbccbabcbbccbcccbbbccbbcbcccccbbbbbbbbabbbbbbccbbccbbbbccbbccbbbbcbbbbccbccbcbbbbbcbabbbbbbccbbbbbcbcbbbcbcbccbbccbcccccbcbabbccbbbbcbbbccbbbbcbbbbbbbbccccccbcbcbbbcacccbbbbcbcbbccbbbcccccbbbbabbbbcbcbcbcbbbbcbbbbbacccbbbbbcbcbbacbbbbbcccbbbccbbcbbbbabbbcccbbbbbbacbcbbabbbbbbacacbbcbbbcbbbbbcbbbbbbcbcbbbbbcbbccccbbbbbbbbbcbbbbbbbbbbccacbabbbbbbcbbbbbbbbcbababcbcbbbbbbcbcbaabbbabcbbccbcbbcbbbbbbbcbabcbcbbbbcbbbcbbbbbcbcbcbccbccbbaabcbabcccccbccbccccbbbabcbcbcbbccbbbbbabbcbcbcbcbbcbbbbbbcbbbbbbbbbbbccbccbcccbcccbbbcbbbbbbbbbbcbcbcbbbcbbcbbccbbcccacbbbcbbccccbbbcabccccbbcbcbcbbbabbabcbbbbccbbccbbbcbbbbbabccbcbabbcbbbbbbcbccbbabbbbcbcbcbbbbbbbcccacabbbbcbbbcbcbbcbcbbbcbaccbbbcbccccbbbbaacbcbcbcbbabbbbbbccbbccbbbbbcbcbbbbbbbcbccbbcbbbbbcbbbbbcbcbbbbccbbbcbabccccbbbcbcbbbbbbcbccbbbcbccbcbbcbbbcccbbbbccbbbbabcbbbabcbbcbcbbbcbcbbccbccbbcacbcbbbcbbbbcbcbbbcbbccbcbbbbbbcbccbcbcbcbababacabbbbbbbbcabbbcbbccbbcacbccbcccbbbbccbbbcccccbbcbbbbcbaabccbcbcbcbbcbacbcbcbcbbbcababbbcbbcbbbccbacccbcbbbbbcbbccbbcbbcbbcbacbbbacabbcbbbcccbcbbacbccbbbbcbbbccbabbbbcbbccbbccbbcbbbaccbbbccccbbbcccbbbbbbbbcabbbbbccbbbbcbccbbbbbcbcacbbbcacbbbccbbbcbccbbbcbabcbccbccbbbbbbbccbbcbcbccbbbbcbbbccccbbbccbbcbbccccbcbbbbcccbbabcbcccbbbbcbbbbbcbbbcbbbbbccbbbbcbbbbcbbbbbbcccbcbbbbcbcbcbcaccacbbbcbbbcbccabbcccbbbcbcbbbbcbccbcbbbbbcbbbccbccbbbbbcbbbccbbccbbbccbcacbbcccbbbcbcbcbccbcbcbcbbcbbbbabcbcbbbcbaaccbbbbccbabcccaccbbcbbbaccbcbbbbbaaccbbcbbbbbbccbbbbbccbbbbccbcbbbaabbbccbbbbccbbcbbbcbcbbabbbcbcbcabbbcbbbcbbcccccccbbcbbcccbbcbbbbbbcbbcbababbabbabbbbccbcbcbbbbccbcbccbbbcbbcbbcccbbcbbbbbbbcabbabcccbbbcbbcbbbbcccbbbbbbbcbbccbcbcbbccbbaacbcbbabbbbbbcbcbbbcbbbbccbbbbbccbcbbcccbcbbbcbcbbcbcbcbbbcbcbbbbbbccbbccbabbcbcbbccccbcbbccbbcbcbbccbbbcbacbbbbcbbbcbbbbcbbbbcbbcabccbbcbbccbcccbbbbbbbcbccbccbcbcbbbbcbbbcbccbccbcbcbbbccbbcbcabccbbcbbcaccbacbbbbcccbbccbbbccccbbbbcbcbcbbbcbbcccbbccbcbcccbbbbccbbbbbcccbbbcbcbbbbbbbbbcbbbbbbcbbbcbbcbbbaccbbbcbbccbbbbbccbccacbbbbcbabcbbbbbccbbbcbabbbabcbbccbcccccbbbbbbbbbcbbbccbbcbbcbbbcbcbbbbbcbbbbbbbbcbbccbbbbcbcbcbacbaccbbccbbbbccccbcccbcbbbbbcbbbcbbbbccbcbbaccbccbbbbcbbcbccbbbcbbbacbbcbbbbbbbbbbbbbabbccbbbbbcbbccbcbabbbbcbbbbbbabccbcbbccbcbbbbbbbbbbbcbbbbcbcbbbbccccbcbbcbccbbbccbbbbbbcbbcbbcbbbbbcbbbbabccbbcbabbbbbcbccccbcbbbbccccbcbcbbcbbbcbcbccbbccbcbbbccbbbccbccbbccbcbbcbcccbbcbbbcbbbbcbbbbbcbbbbbbcccbacbcbbcbbcbcbcbbcccbcbbbcbbbbcbbbccbccbcbbabcbbbcbacbcbbbcbbcbcbbbbbbbcccccbbcbbbbcccbbbbbbbacbbcbbbbbbbbbbccbbbccaccccbcbbbcbbbbccbabccbbcbcbbbbacbbbbbcccbbbbcbbccccbccaccbaccbcbbbcbbbbbbcbbbcbcbbccbbcbcbccbbbcbcbbbbbbcccccbcbcbbcbbcbbcabbccbbccaabbbbbbacbbbcbccccbbbcbbbcabbcabbbbbbbcccbcbbbcccbcccccbbbbaabbbbccccccbbbcabbbbbbbcbcbccbcbbcbbbbbcacbcbbcbbccccbbccbbbcbcccbbbbcbccbbbcbabcccbbbbbbbccbccbbcbccbbbbcccbcbbabcbcbbbccccbcbcbbcbccccccbbccbccbbbcbcbbbcbaccccbcccccbbbbbbbbbbbbbcbbbcbcbccbbcbbcbcbbbbcbcbbbcbbbbbbccbbcbccccccbbbbccbbcbbbccbcbbccbbcbbbcbbcbbcbcbcccbcccbbbbbbbbccbccbccabcccbcbbbbbcbbbbbccbbbcbcbcbcbcbbbccbbcbcbbabcccbcbbbbbbbbcbbbbbbbbcbbcccbbbbbcbbbbbcbbbbaccbbbbcbbbbcbcbbcbbcbccbccbccbbbbbabccacbbbcbbbbcbcccccabbbbcbacbccbbcbbbbbacbbbcbcbcbbbbccbbbcbbabbccbccbcccbbbcbcabbcbbbbbcbccbbbcbcbbcbcccbbccccbbbbccbcbbbccbbbccbbacbbbbbbcbcbbbcbbcbcbbbbbccbcabccbbcbbcbbcbbbcbbbbbacccbbcbbaccbcbcbccccbbcbbccbabcbbcbbcbbbbcbcacbbbcbcbbcbbcbbbbbbbbaacbbbbcabbbbbcbbbbcccbbcbcbbbbcbbabbbccbbbbcbbabbbababcacbabbcbcbbbbccccbabbbbcbccbbccbcbbccbbccbbbccbbbbccbccccccbcbcccbcbcbccbbbbbcbbbbbbbcbcbcabccbccbbabbbbbbbbccbbcbbaccbbbbbbbbbbcbbbbbbbbbbcaccbabccbcbbbbbbbbbbbbbcbbbabbbcbbcccbbbbcbcbcbbacbbabbbcccbbbbcbcabcbbbbbbbbbbcbbbccbbccbbcbccbbbbcbbbccbbccbbbbcbbbbcbcbcbbbbbbcbcbbcbbcbcbbbbbbbcbbccbabccccbbcccabbbbccbbbcbcbbbbbbcbcbcbbbbcbccccbabcbbbbcccbcbccbbbbbbbccbbccbbbbbcbbcabcbbbcccabcbbbbbbcbbbbbbbbbbcccccbacbabbbbcbbcaccbbbbacbccbcbcbbbbcbcbbcbbbccbbcbbbbcbcccacbbaccbacbbcbbbbbbccbbbbbbcbbcbbbbcbcbbcbbcbbbbabbbccbcbbbbcbbbbcbbcbccbccbabbcbbbbbcbbbbbcccbcbcabcbbbbccccbcbcabbbbcbbcbbbccbcbbcbbbbcccccbbbbbabbbcccbbcbbbcbcbbbbcbbbbbbbbbcbbbcbcaabbbcbbcbbbbbabcbcbbbbbbbcbbbccbbbbcbbbbcbccbbcbccbbbabbbccbbbccbbbbbcbbbccbbbbcbbbcbbcbbbbbbbcbcbbcabcbccccbbbcacbcbbbccbbbbbbcbbbcbbcbcbbcbcbbccbbcbbbbbbbcbcbcbbcbcbccacbccbcbbccbccbbbbbbbbcbbbcccbcbcbcbbbbbbccbcbbbbbbbbbcbcbcbcbbbbbbbbacbcbbcbbbbbbbbbbcbbbbccbbbbbcccbbbcbcbcbbbbccbccbbbbbabbbcccccbcbccbcbbcabbaccbbcbbcbbbbbbacbbbbcbbcbccbbcbcabccbbbbbbbbbbbbbbbbbbbbcbbbbbbbabccccccbbabbbccbbbacbbcbbbcbcbbbaabbcccbcbbbcbcbbcbbbbbcbcbcbbcbbbbbcccbcabcbbccbbccbcbbcbbbcbccbbcbccbccccccbbcbcbbcccbbabcabbbbcaccbcbbcbbbcbbccbbccbbbcbbacbbbbbbcccccbcbbcbbbcbbbbcbbcbbbbbbbbcbbbbbbacbbbbcbabbcbcbccbccbbbcabbbbbbcbbcbbcbbccccbbbcbbbbbbbbcbcbbbabbbbbbbbbcbbcbbbbbcbbbbcabbcbbabacbcbabbbbcbbbbcbbabbbcccbcbbbcbbbbbacbcccccccbccbcccbbcbbcbcbccbbbccbbbcbcbbcbccbcbcbbbcccbbacbcbccbccbbcbbccbccccbbbccbbbabbbccbcbbcacbccbbbaabbbbbbccbccbcbbcbbbbbbaccbbccbbbbcccbbbbcbbbcbbbcbbcbcbcbbbcbbbbbbbcbbcccbcbccbbabcbccbbbbbacbbcbbccccbabcbbcbbcbccccbbbbccacacbbbbabccbbccbbbbcbbbbcbbbcbaabbbbbbcbcbcbccbbccbbbbcbbbcbbabcbcccbbccccbacbbbcabbbccbcccccbbbcbbbcbbcbbbbcbcbcbccbcbaccbccbcccbabbcbbcbccacbbbbcbbbcaccbccbbbbbcbbbcbaccbbcbbcbbcbabcbabbbbccbbbbbcbbabbbabacbccccbcccccbcbbcbbbbcbbcbcbbbbcccabbcccccccbbbbbbcbbbbccbabbcccbcbacbccbcbccbcbacbbbcbccbbbbbbbbcbccccacbbbccbbcbcbbcbbbabcacbbbcbcbabbbbcbbbcabbbccbcccbbcbbbbbbbbccbcccbbbbbcbcbbbbbbcbcbccbbbbbbccbccbcbbcbbbcccbbcbccbbcbbbcbcbbbbbcbccccbbbcbbcccabccbcbbbbcbcbbbcccbcbbcbbbabbccbccbbbbbcbbcbcbbabccabbcbbabbcbbbbcccbccbcbbcbbbabcbbbbbbbcbbbbcbcbbbcbbccabcbbcccbccbbbcccacbbbcccbbccbcbbcbccbcbbbbbbbcbbbbcaccbbccbbbbabbbbbbbcbbccbcbcabbcbbbccccbbbbcbbccbacbbbbccbbcbbbcbbcbbcccbcbcbbbbbbbbbbbbccbbbbbbccbcabbbccccbbabcbbbbbbcbcbbccccbbccbcbabbbbbbbbbbcbbcbcbbbccbbcbbcacbbbbbcbbbcccbbcccbcccbbcbcbbbbbbbbcbbbbbcbbbccbcbbbbbbbbcbccbcccbbbacbbccbbbbbcbbccccbccbcbbcbbbbbbcbbcbbbccbbcbcabacbbbabbbbbbcbbccbbbcbbcbbccaacbacbcbbbcbbbbbbbbbbccbbcbbbbbbbbccbbbbcbcbbbbcbbccbbbbbbbbcbcbcbbcbcbbbcbbbbcbbbbbbbcbcabcbcbcbbbcbbccbcbcbcccacbcbbbcbbbbbcbcbbcaccbbaccccbbbccbbbccbbcbcbcbbbbbbbcbbbbbcbbbcbbbccbbbbbbcbbbcccbbcbbcbbbbcbcbacbcccbbbbbccbbbbacbccbcbbbcbcbbccbbbcbbbbbbbbccccbbbbcbbbcbcbcbbcbbbbcabbcbbbacccbcbccbbbbcccacccbbbcbbbbabbccabbbbccbccbbccbbcbbbccbbbbbcbbcccbbbbbccbbbbbcaacbcbbccbbbbbbcbbcbbcbabbcbbbbbccbbccbccabbcbcbbcbcbbcbbbbbbcbbbbbbbbccbcbcbccaccbbbbbccccbbcbcbbbbbbacbbbbcbbbbccbbbccbcccbcbccccbbbcbbcbbcbbcbbbbbbbcbcbbbbbbbbbccbcbcbbbcbbbbcbbbbbcbbcbbbcbabcbbcbbbcbabbbcbbbbbbbbbccccacabbbcbbbbcbbbbbbbbcbbccbcccccbbbbbcbcbbbbcccbbcbcbbbbbbbbcbbbabcbbcbccbcbbbcbbbcbcbbbbbcccbcbbccbcbbbccccbccbbbccbbcccbbccbbcbccbcbcbbbccccbbbbbcbbbcbbbbccbcccbbbbbbbcbccbcbbbbccccbabbbbbbcbabbcbccbbbabbcccbcbccbcbbbbcbbbbcbbbbbbbcbbbcbbbccbbabbcccabbbbbcbcbbbccccccbbccccccbbbbbbbccbbcbbcbcccbccbbbbcbbcbbbcbccbbbbbbabcabbcbccabbacbccbcbbbcbbbcbbcbbbcbbbccbbacbbbbbccbcbbcbbbcbcccbcbcbbbbbbcbbbcbbbbbbcbbcbbbcbcbacbbcbbbbcbbbbbcbcbcbbbbbccbcbcbabbbcbcbbbbbcbbbbcbbbbbbbbbccacbbbcbbcbcbbcbbcbbccbaccbbbccbccbccbbbbcabbbbccbbbbbbbcbbccbcbcccbbcccbbcbbccbbbbbbbbbabbcbbcbbbcbcbbcbbbbbcbbbbbbbbbcbcbbcabbbcbabbbbbbbcbbbbccbbabccbbbbbabbcbbbbbcbcbbcccbcbbbaccbbbcbbccbccbbccbbbbcbbccbcbbbcbcbbbcbbcccbbbbcbbcbcbbbbbcccccbacbbbbcbccbbbbbbbcbcbbbcbbbcbbbbbbcccbbcbbbcbcbbbbacbbbbbbbbbcbcbbbbbbbbcbcbbbccbccbbcbbbbbbbcbcbbcbbccacbcbbccbbbbbbbbbbbbbcbbabccabbbbbcbcbbbbbbcbbcbbbbbbccbbbbccbbbbcbcbccbabbcbcbcbbbcbcbbbcbbcbbcbbbccbcccbbccbcbacbccccbcbbbbbcbcbbbbcbccbcbbbccbbacbbbbbbcbccbbbcbbccbcbbcbcbbbcbbbcbbabbbbbbbccacabcccbbcbabbcbcabbcbbbccaccbbbbbccbcbbbbbbbbbccbcbcbbbbbbbbbbbcaccbccbbbbccbcbcbbccacccbbcbccbbbbcbcbabacbbbbbcbcbbbabbcbbbcbbbbcbbbbbcbbbcbbcbbbbbccccbbbccabbbcbcbbbbbbbcbbcbcbbacbcbccccbbcbabbccbbbbbcbbbcbccbbcccbbbcccbbbabcccbbbbbcacbcbbbcbcbbbbbbbccccbcbbcbbbbbabbbcbbbbbccabcbbbbbbbcbbccbbccbbbbcccbbbbcccbbcccbcbbbcbbbcbbccbbbcbbbbcbccccbbcbbccbcbbcccbcccbbabbbbbbcccbbbbccccbcbbacbbbbccbbcbbcccccbbbbbcbbbcccbbbcbbbbbccbbcbbcbcbbcbccbbbcbacacbaccbbbbbbbbbbcbbbcbbbbbbbbbcabccbbbbbbcbbbbbcbbbbccbbccbabbbbbccbbccbcbccbabcccbcbcbcbbbbccbbccbbabbbcbbcbbcbabbbbcbcbbbbbbcccccbbbbcbcbbbbbcbbabbcbbbcbcbcbbbccccccbbbbabbbcbaccbbcbbcbbbbcccacccbcbbbcbccccbbbbbbabbbcbbbbbbcbccbcbabccbccbcbbbbbcbbbbbccbccbbcbbccbbbcbbcbbbcbbcbbbbbcbbcbcccbccbbcbbbcbccbbccbbbcccbaccbbcbcbcbbbcbbcbbbcbbabccbbbcbcbbbbbbbbbccbbbbccccbccbbbcbbbbccbbcbbcabbcbcabbbcbcccbcbbbabbbcbbbccbbbcbbbcbbbbbbbccbbccbcabbbcbbcbbbbcbbcbbbbccbbbbccbbbbbccbcbbbbbcbbccbbccbccbbcbcbbcbcbccbcbbbbcbabcbbbcccabcbbbbbbbbbbbcbbcbbbbbcbbbcbbbabcbbbccccbbbbbbcbccbcbbbbbcabbcaaccccccccbcabbacbbbbccbbbbcbbbbcbcbbccbbbbbcbbbbccbcbbcbbbbbcccbccbbcccbcbcbbbccbbbbcbcbbccbbcbbbbccbbbbbbbbcbccbbcbcbbbbbbcbbcbbcabbbccbbcccbbbcbbbbccccccbccbbcbcbaccabcaabbbcbbbbbbbbbbbcbbcbbbbbbbbbbbbbbbbbbbbcbbbbbbcbbcbbbbbcbbccbbbbccbcbbacbbcbcbcbbbcccbcccaccbbbabbccbcccbbbcbbbbbcacbbbbccbbcbbbcbbcabbcbcbabcabcbbbbcbbbcbbbcaccbabcbbbbbbbcbbbbbcbbbbcccbcbcbbbbacbbbbbbcbbbabcbabaccbccbcbbbccccccbbbbcccbaccbabbbbcbccbcbbbbccbbcbbcbbcbbbbccbcbbcccbbbbccbbbcbacccbcbbcbccccacccbbcbbccbbcccbcbbcacbbbccbbbbcabcbabbbccbbbbbcbbbbbcabcbbabcbcbbcabbcbbbbbbcabcbbcbbbccbbcbcaccbbccbbbbbcbbbbbcbbbbbacbcabcbbbbcbbcbbcccccbbcbbbbbcbcbcbbabbccbcbcbbbcbcbcbbbbbbbbcccabbbcbbbccbabbbbbcbccbabbbbbbbbbcbcbbbbbbcbbbbcbcbcbbbacbbbcbcbcacacccacbbcbbbacbccccbbacbbcabccbbcaacbccbbcbcbcbcbbbabccabbbcbaccbbccbbbbbbcbcbcbbbbcccbcbbabbabbbbbbbbcbccbbcbcbbbcbccbbbbcbbcbbbbcbbccbbbbbbbccbbbcbccbcbcbbbbcbccbbccbbcbbbbcbccbbbbbcbbbbaccbcccccbbbbbbcbcbbbcbbcccbaccbbabbccbcbbcbcbcbbacbbbbbcbcbccbcbbbbbbcbbbacbcbcbcbbcaccbbcbbbccbcbcccaccccbbbbbccbbcbbcccbcccbbbbbcbbcacccbccbbcbbbbcabbbbbbccbbbbcbbccbbccbcccbccbbbbbbbabbccbbbccbbbcbcbcbbbccbbbbbcbabbbcbcabbcbcbbbcbcbbbabbcbccbbbcbbcbbbbcbbbccbccbacbcbcbabbbbbcccbbcbbbccbbcbbbbbbcbbabcbccacacbbbbbccbacccbcbcbbbbbbcbcbbbcbbbbcbbbbbbccbbbcbbccbccbbbbbbbbbccbcbccbcbbbcbbcbbccbccbcbcbccbbbbacabbcbbcbcacbbbbbbbcbbccacbcccabcbbbbbccbccbccbbbcccbbcccbbbcbbcbcbbbcbbabcbbbcbcbcbccbbbbccbcbbbccbbbabcbbabcbbbbbbcbbbcbbbcbcbbbcabccbbacbccbbbcbbbcbbbcbbcccacbcbcbbbbbbbccccbcccbcbccbcbccccbbabcccbbcbcbcbbbbbbcbbcbccccbbcacbbbbcbcbbccbbcbcccbcbbbbccbbbacbbcccbcbccccbbccbbbbbbcbcabcbccbcbbbcbbbbcacbbbbbcbbbbbcbbccabcbbbbbcbbbccbcbcbbbbccabbbbbbbcbcbbbbabccccbbbbbcbbbbbbcbbbcccbacbcbbbbbbcccccccbcbccbccbbbccbcbbccbcbbbcbcabbbbbcbcbbbabbcbabbccbbcbbaccbcbbbbbbbccbbbbcbcbcbbbabbbbbbbbccbcbbbccbbbbbcbccbcccbcccbcbbbbcbbbabccbbbbbcbccbbcbabcbbbbbbccacbbcccbbcccccbbbbbbcccbbccbbcbbbbcbbcccbbbbbcbcbcbbcccbbccbcccbbccabbcbcbcbabcbbccbccbbbcbcbcbbccbcccbcbbbcbcbcbbcbbbbcbbbcbbbbbbcabccccbabbabbbbccbcbccbccbbccbabcccbbaabbbccbbccbbcbbbcbbbbbcbcbccbccbbbcbccbcbbcbbcbbcbacbcabbbbccbcbcabbbbcccbcbbcbbbcbbbbbcbabbbcbbccbbbcbbcbbcbcbbbcbacbbbbbbcbbcbcbbbbbbbbccbcbabbbbcbbbbcbbbbbcbbcbbbbbbbbbabccbbbcabbccccbbbbcacbbccccbbbccbbbbccbcbbbbcbcbcbcbbbbbcbcbccbcbccbbcbbccbbbbbbbacbbbcccccabbbccccccbbcbbbccbcbcbbcbccbbbcbbccbbbbccccbcbbcbbcbbbbccbccbcacbbccbcccbbbcccbcabbcccbbbcbcbbbbbbbbbcbbcbccccbcccbbcbbcbbccccaccbccbcbbbbbbbccbbbcccbcbbbbcbaccbbbbcbbbcbbbcbbcbbabbbcbcbbbcbbbccbbbcbbcbcbbbbccbbbccccbbbbcbbbcbbbcacbcbbcccbccbbbccccbabbbbbbbbbbbbcbbcccbcbccccbbbcbbbcbbbbbcbbccbbbcbcbcbbcbacbacbcbbcbcbcbbbbbcbbbbbcccbccbbbbbbbccaacbbcbbbbacbbbbbcccacbcbbcbccccbbbbbbbbbbbccbcccbbbcbbccbcbccbcbbbabbbcbbbccbccbbbccbbcabbccbcbcbbabcbbbbbcccbcbcbacabcbcbbbcabcccbcbcbcbcbcbbbbbcbbcbbccbbbcbbbbbabbcbcbbbcbcbbccbbbbbbbbbcbbbbbbbbcbcbcccbbcbbcabccbbbcbccccccccbcbbbbcabbcbbbbbcbbbabccbccbbbbbbccccbbbcbbcbabcccabbcbbcbccbbbbcccbbbbbbbccbbaccbbbcbbbabbccccbbbcccbbbcbacccbccbbbbbcbbcbbbcbbbbcbbccbcbbcbccbbbbbcbcbbcbcbbccabccccbbbbbbcbcbbbbbcccabccbbbcbbccbbcbbbcabbbbbbbcbbcbbbbbccbabbbbcbcbbcbbbbccbbbbcbbcbbccbbccbcbccccbcbbbcbbbbcbcbccbbbcbccccbbcbbbbbbbccbbbbccbbccbbcbbbbbbbbbbcccbacacbcbccbbbbcbcbbbbbccbccbbcbcbbbccbbcbbbcccbbbccbbbbacbbcbbcbccccbcbbcbbbbcbbbbbabcccccbbcbbcbbcbbbbccbbabbbbbbbbcccbbcbcabbcabbcbbbcbcbbbcabbbbcccbccbbbcabcbbbbcbbbbcbbccbbcbbbbbbccacbbbcacbccbcbbbbbbbbbcbcbabcbbbabbccbcbcccccbbbabcbccbcaabbbbcabccabbbbbbbccccbbbbcabcbcbbbacbccbbbcbbbcbbbcbbbbcbbbabbbcbbbcbbbbcbbccbbbbbabcbbccbbbbbbccccbcbbcbbbbbccbbbcccbcbbccbbbccccbccccbbacbbbcacbbcbbcbcbbcccbcbbbcbcbbcabbbbbcbccbbcbbcbcbbcccbcccbcbbbcbbcbbcbcbbbcbbbbcccbbbbbbcabbbcbbbbccbbbccbbbbbcabbbbcbbbcbcbbccbccbcbbcbcbccbcbbbccccccacccbbbbbbbcccccbbbbccbbbbcbbbbbbbbbccccbccbbcbccbbbcbbbbcbcbcbccbbcbcbccbcbccbbbbbbbcbbabccbcbcbcbcbbbbccbcbbcbbcbccbccbcbcbbcccbcbaabbbbbbbbccbbbbbbcbbccbbbbbbcccbbbbccccacabccbbbbccbbbbbcbccbcbccccbcbccbbccbcbcbbbcbbbbbcccbcbbcccbcbbcbcbcbcbbbbcbbccbbcbbcbbbcbbbbbcbbcbcbbbbcccbbbbccccccbbcbcbcccbccbbbcbbccccbcbcbbbcbbcbbcbbbbbcbbbcbcccbbbccbbcbcccbbbbcbbbcbabbcbbccccbcbcbbbbcbbbcbcbbbccbbbccbbbbcbccbbbbccbaccbbbbbbccbbbcbbcbccbbbcbbbbbcbcccbcbbbabbcbcbcbbbbbccbaccbccbcbbbbbbbbcbcccbbbbccbbcbbbcbbbcbbbbbcbccbbbbccbcbbbbbccbbbcbbbbbbabbbbbbccbbbbcbbbcbccbacbbbcbbbbbbbbbbbbbccbcbcccbbccbcbbbcbbababbbbbcbbbccbcbcbcccbbbbccbcbcbccbbbbbcccbccbcbbabbbbcbbbccbbbbcbbabbbccbcbcbbcccbbbcbbbcabcbbbbbcbbbbbcccccbbbbbbbbbbcccbccbbcbccbbbbcbcbcccbccccbbcbcbbbcbcbaccbbbcccbcbbcbccccccbcbcbccbbccbbcbcbbccbbcbbbcbbbbcbcccccbbbbcbbcbbcbccbbbbcccbbbccbcbacbbbbaabcbbbbbccbccbbbbbbbcbcbcbcbcbbbbcbcbacbbcbcbcbbccbccccabbbccbbcbbbabbbcbbccacccbcbcbccbcbbbbcccbbcccbcbbbccbbbcbabbcbbbbccbbbbcbcbbbbcbbbbbbcbcbcbcbcbbccbccbabbbbcbbbcbcbcbbbcabbcaabccbcbcbbbcbbcbcbcbbbcbbccbbbbcccbacbbabbbbcbbbbbbbbbbbbccbbbcbccbbcbbbbbcbcccbbbbbbbbbbcccccbbbcbbbbabcbbbccabbabbbcabbbbcccccbbbbbccbbcbbbcccbbbbcbbbbcbbbcbcbbbcbccbcbcabbbbbbbbbacbbbcbbcbbbccccacbbcbbbbbcbabbccbbcccbcbbbbbbbbbbcbabbccccbbcbbbbcbcbbbbbbcbbcabbbbbbbcccccbbbbbcacbbabcbbbccccbbbcbcbbbcbbbcccbcbbbbcbbcbbbbbbbabccbbbacbbccbbbccbbccbbbbcbbbbacabbbbbbbbbcbcbccbcbccccabbbbcbbcbcbbacbbcbbbbbbcbbabccbbbcbbcbbbcbcccbbbccbbcbbbbccbcbbbbbbbbbcbbbcbbcbbcbcbcbacbbccacbbcbbbcbbbbcbcbbbbbbcbbcabcbbbccccbcabcbcbbbbbabbacbcbbbbccbbbcbcbccccbbacbbcbbbbabbcbbcbbbccbbcbbccccbcbcbbcbbbbbbcbabccbbbccbcbbcbccbcbbbbcbbbbbcabcbcbbccbcbcbabbccbbbbcbcbbbbbbbbbccbbccbabccbbbcbbbcbcbbbbcbbbbbbbccbcbbbbbbbcccbbbbbbccbbccbcabbbcbbbbbbccbbbbcbcabbbaccbbbbaabbbbbbabbcbbbbcbbcccbbbbbbbbbbabccbcbbbbbcbbccbbcbbcbcabbbbbbccccccbbbbbcccbbbcacbabbbbcbcbbbbccbabcbbccbccbccbcbccbbbbbbbbbbbcbbccccbcccbcabbbbbcccbbbcbbbcbbbbbccbbbbbbcabcbcbbbbbbcbbbbabcbcbbcbcbcbbacbcbbacbbccbbcccaacbcbbbbabacbbcaccbccbbccccbbbbbbccbbbcbbcbaccbcbbbccbcbbbbbcbbcbbcbaccbbccbccccaccbbbabccbcaccbbbbbbcbbbbbbbbbabcbacabbcabbccccccbbbbbccabbbbbbbbbccbcabcccccbcbcbbcbbbcbcbcbccbbbbbccbbcbcbbbcbbccacbbcbbccbcbbcbbbbccbbcbbacbcbcbcbccbaccccccbbbcbbcbbbbacbbccbbbbbcccacabcbbbacbbbbbccbbbacbccacbbaccabbccabacbaabbbbcccacbbccbcbbbbccbbcbccbcbbbabbacbbbbcacbbbbcbbcabccbccbcbbbbcbbbcbcbbcbbbbbccbcbbcbcbbbbbbbcbcccbcbbcccbabcccbbbacbbcbcbacbcbbbcaccbcbbcbbbcbcbcbbbcbbcbcccbbbbbbccccbbbbcbbcbbbccbcbcbcbbbabbbbcbbcbbbbbbbbcbbbcbbcbcbaacbbcbabbbbccccbcccccccbbbcbbbbccbccbbbccbbabbcaccbbbcbcbcbcbcbbbccbbbbcbbccbcbbbbbbbaacbbbbbcccbcbbbcaccbbccbbbcbbbcbcbcbbcbbbbcbbbbbbcbbcbcbbbbcbbcbbbbbbccbbbbbbbabbbcbccbbabbccbbcbbbcbbbccbbbcccbcccbbccbbbbbbcbbbbccbacbccbbbcbbbbcacbcbbcbcbcbcbcbbccbcbccbbbbbbcbbcbcbbccbbacbccbcbbbbcbcbcbcbbcbbcbbbbccbcbbbbbbbcccbbcbbbbcbbcbbbcbacccbbbcccccbbbcbbccbcbbcbbcbcccccbbbbcbbabcbcabbcbcbbbaacbbcbabbbbbbcbccbcbcccbccbbacbbbccbccbbccabbacbbbbbbbbbbabbbbabcbbbbbbbacbbbbbcbbccbbbbbcbbcbccbbbbcbbbcbccbbcbbbcbbcbbbbcbbbbbabbbbacbbcbabbbccccbbccbbccbbabbcccabbbbbcbbbbcabbbccbcbcbcbccbbbbbbbbccbbbbccbbcbbccbabbcbbcabbbbbbccbbbbbbcbabbbccbbbcbbcbcbccbcbbbcbbbbcbbbcbcbcabbbbbbbcbbccbccbccbbcccbbbbcabbbcbcbbbbccbabbbbbbbbcbcbbbabbcbcbccbbbbbcbbacccbcbacbbaabbbcbbccbbccbbcbcbcbbbccbcbbbbbccbbbacbbbbcbcbcbbbbbbcbbbcbcbbbbacbbbbbcbacbbccccbbbbabcaccbcbbbbcbabbbbbbccabcbbcabccbbbbbbbcbbcbbbcccbbcbbcbbbbcacbbcbcccbbbcbbbccaccbcbbbcccbcbbbcbbbbbbcbababcbbbbbcbbbbcbbbbccabbbbcbbbbbbbbcbbbbbbbbccbcccbcbacbcbbbbccbbccbbccbbbbbbbcccbbabcccbccbacbbbcbbbbbccbbbbcbbccbbbcaccabbbcbccbbcbacacbcbcbbbccbccbbcbbacbbccbabbcbbcccbbcabcbcbbcccacbbbbbaabcbbacbbbcbbbbbbbbbbccbacccccccbbcbbbbbbbbccbbbbbbbbbbbbccbbbbbbbcbbbbcbbbbaccccccbbbbcbbbbbbbbccbcbbcbbbbbbbbcbcbbbcabbcbbbccbbbbcabbccbcbbaccbcccbccbbbbcbbbbbbbbcbcbbbbbcbbcabcbcbbbbbbcbabbbbbbbcbbaccbbbbcbbbbcbcccacbcbbbcbccccbbbcbbcbbbbbccbbbbbbbcbcbbcccbcbccbbbcbcbbbcbacbcccccbbccabcbcbbcbcccbcbbcbbbbbccbccbbcbbbbbbccbcbbccbcccbbcbbbbbcbcccbbbbbcbcbbbcbbcabbbbbbbbbbcbbccccbabbbbcccbcbbbbbbccbabcbacbcbbcbbbbbbcbabcbcbcbcbbabbbcbbcccbccbbbcbbbcbcbbccbbbbbbbccbbbbcccbcbccccbcbacacbccbbbbbbbbbcbcbbccabcbbbcabcbbbbbbacccbbbcccbbccbbccbbbcbcbcbcbbbcbbbcbabcbbbbbbbbbcbbbbbbbcbcbbcbbabbcbbccbbccbbbcbcbcbbbcbbcbacbbcbbbbbbbbbbabbbbbbcbcbcacccbabcbcbbccbbbcbbbbccbbbbcbacbbbbabbbbcbcbbbccbccbbbbbbbcbbcbbbbbbcbacccbbbbcaabbcbbcbbcccbccbbbbccbcbcbbbbcabbcbbbcbccbbbcbbbcbcbcbbbbccbbbbcbbbcbccccbbbbabcbbcbcbbcbcbcbbcccbbbbbcbbcbbbbcbcbbbbbbbbbbbacbbccbcabbbbabccbbbbbcbcbacbbccbabccbcbbcabbbbabcccbbbbbbbbbcbbbbbcbbbbbcccbbbbccbbbbbcbbcbbcccbbbbbbbbcbbcccbbccbcbcabcbacbbccbabcabcbbabccccbbcbbcbccbcbbbbabbbbbcbbcbcbccbbbcbcbbcccbcbbcbbbcbbcbbcbbbcbcbbcbbccbbcbbcccccbbbaabbbbcbcbbbbbccccbcbbcbcbbcbbcbcbbbbbcbbbcbabbbcbcccbcbbbcbcccbcbbcbbbbabccbbbbcbbcbbacabacbbbbbccbccbbcbcbbccbbbbcccbbcbbabcbbbbcbbbcbbbbcbbbbbcbcbbbcccbbbbbccabbbbcbbbccbcbbbcbbbbcbbbbcbbbbcbbcbbbccccbbbbbbbbcbcbbbbbbbcbbbbbbccbbcbbaccbcbbbcbbcbbccccbbbbcbcbbbcbcbcacbbccbbcbbbbbbccbbccbccbccbbbbbcbbbbbbcbbbbbccccbbbbbbccbcbbbbbcbbcbbbccbbbbcbcbbacbbbcccbbccbbbbbcbbabcbbbbbbbbcabcbbcbbccbccbbbbbcbcccbbbcbcacbcbbbbcccbbbbbbbbcccbbbbbcbbbcbcbbccbbccbbbbbcbbbbbcbbcccbbbbbcbcccccbbbbcbccbbbcbbbbcccbcbbbbbbbcbbbbcbcccbcccbbbbccbcccbbcbbbbcbccbcbcccbbbccbbbbbbcbbbccbbcccbbbcbbbcbbccbbbbbcbcbcbbccbbbbcbbcbbbcbcbbbcccbbbabbcbbbbcbcbbbbcbcabbcbcccbcbbbcbcbccbbbbbbbcbccbbcbbbcbbccbcbbbbbbbbbbccbccbbcbcbbcbbccbbacbcabbbbcbbcbbbcbbcbacbbccbcbcbcbccbbccbbbabbbbbbcccbbcccbbacbccbbcbcbcbcbbbbbbcbbcbbcbcbbbcbbcbbccbbbccbbbbbccbbcbcbbccccbbbacbcbcbccbbcbbbbccbcbcabcbbbabbccccbbcccbcbbbbbbbbbbbcaccccbcccbbbbcbbbbbbbcbbabbbbbbcbabcbcccbcabbbbbbcccbccccbbbcbcbbbbbbabbabcccccccbccbccccbccbcccbbbbccbcbbbcbbbbccbcbbccbcbacbbccbbbccbcbbbbbbbccbccbbcbbbbbbbbcbccacbccbbbcbcccbbabbabccbccbbbbbbabbabbbcbbcbcbbbcbbbbbcabacbcbbabcccbbccbbcbcccbbbcbbbbbbcbbbbbcbcbbbcccacbbccbbbbcbcabbbcbbbbaccbbccccbcbbcbbcaccbbbccbcbbbbbcbcbbcccbccbccbcbcbcbccabacccbcbaacbabcbccbbbbbbcbbbbcbbcbbccbcbcbbbbaabbbbbccbbbccbcbbcbbacccbbbbcacbbbbccbbabbccbccbacccccbabbcbbbbbbcbccbccbbcbbbcbcbbcbcbbbbbbccbbcccbccbcbccbcbbbabbccbcbcbbbbbbbbbccbbbbbbbbbbbccbcbccbcbcbbbbbccbbbbcccccbbcbbbcbbbbcbbbbabbcbccbcbcbbbbbbbccbbbccbbbbbcabbccbbbcbcbccbcbbccbccbbbbbbccbccbbcccbbccbcbbbcbbcaccbbcbbcbccbcbbbcbbbbbcbbbbbcbbbcaccccbbbbcbbcbccabbccbbabcbbbbbcbcbcccbcccbbbcbcbccbbbbbbcbbbbbccbbccccabcccbbccbcbcbbbbbabccbccabcabbbcbbcbbcbbcbbabbcccbcbbccbcbccbbbbbbbbcccbcbabbbccccbccbbbcbbcbcbbccbbbbbbbccbcbbcbbcbbbbaccbbbbcccbbbbcbcbccbbbbcbcbbccccbccbbbcbbbcbbcbbbccbcbbcbbbccbbbbbbbbabbbbbcbbbbcbbbbaccbbbabbcbbbabccbaccccccbcbccbbbacccbcbcbbcccbbcaccbbbbccbbccbcbbbbbbbbcbbbbcababbbbcbcbbcccbbbccbbcbccbbccbbbbbccbcbbbbbcbbbccacbbacccbcbcbccbcbbcacbbbbbbccbbbbbbabbbcbcccbbbbacbcccbcccbbcbcbcaccbcbbbbbcbbbbccacbcbbccbbbbbbcbbcccbbbbcbbbabccbbbbbcbbbcccbccccbcbbcbbbbbbbbbbbbcbccbbccbbbcbbbccbcbbcbbcbbbbbccacbbbacbbbbbccccccbbbcbbbbaccacbccbbbccbcbcabbcbcbcbcccbbbcbacbbcbbbbbbbcbcbbcbcbcbbcbbcccbbccaacbcccccbcbbbabbcbbbacbbabcbcbbbcbcbbcbbcbcbcbbbcbbcccbbbbbbbcbbcbbccbbbcbaccccbbbbcbbcbbbbcabbcbbbccbccbcbcbbbbbbbcbbbbbcbbbbbbbccbcbbcbbbbbccbbbbbbbbcbcbbcbccbbcccccbccabcbbbccbbbcbbcbbcbcbccbbbcbccbbcbccbbccbcccbbbbbbabcccccbbcbbabcbbcbbbbbcbbbccbcccbbbbbcbbccbccccccbbcbbbbabcbcbcbcbbbbcbbcbbabcbbcbcbccabbccbccccbcccbcbcccbbcbccbccbbbcbbbcbbcbcbcbbccbbcbbacbacbbbcbccbcbcbccbcbcbbbcccbbccbccbbbbcbbccbbcccbbbbccbaccbbbbbbbbabcbbccbbcbbbcbbcbbcbbbcbbabcbbbcbbbcbbcabcbcbbbcbcbbcbbbbbcbcccbccbbbbcbcbcbbabacbcbbbccbbcbbbbcbbbcccbcbbbccbbbbbccbbcbbcbccbbbbcbccbcccbbcbbcbcccbbbcccabcbbcbbcbbbcbbbbbbcbbbcbccbbbbbbcbbcbbcbbccbccbbbcbbbbbbbcbbbbbbbcbcbbcbbcbacccbbcbbbccbbccccbbcbbacbbbbcccbbbcbcccbcccbbcbacbacbbccbbbcbbbbbcbbbbbbbcbbcbcbbbcbcbbbcbbcccbbbbcbcccbbbbbccbccccbcabbcbbcbcbbccbbbbbbbbcbbbbaabcbccbbbbbbbcccbacbcbcbbccabbccccbbcbcbbbbbcbcbbccabcbcccbbcbbbcbbabbbbabcbccbbbabbbbbbcbcbbbbbbcbcbccbcbbcbbbbcbbcbbbbbcbaababbcacbbbbbbcbcabcbbbbbcccbbabcbbbcbbbbbcbbcbbbcbbbcacbcbbcbcccccbbcbbbbccbbcbcccbcccbbccbbbbacabbbcbcbbcbccbcbcbbbbbcacbbbbbcbcccccbbbcbbabccbcbbccbbbccbbccbcbccbabbbbbccbbcbbbbbcbcbcbbbabbbabbbccbcccbccbbbbccbbcbbcbbbbbbbbbbbcbbcccccbcbcbcacbabbbbbbcccbcbbccbcbabcccbbccbbcccccccbbbbbcbbbcbbcbbcbccbbbbcbbbabbcbbbbacbcccbbbbbbbbcaccbccbbccbbcbbbcccbbccbbbbbbbccbcbacbccbbcbbbbbbbcbcbbcbbbbcbbbbbcbbabcccbbcbcbbbbabbbcbbcccccbcbcbbccbbbbbcbcccbbbabcbbbcbbbbcbbbbcabcbbbbccacbbbbabbacbbcacbbbcbbcbccbbbbbcacbcabbbccbbcbbbcccbbbbbbcbbcccbcbbcbbbbccbcccbbccbcbccbcbcbbbbcbbccbbbbbbcbbbcbccbbbcbbbbcbbbabbbbcccbbccbbcbabbabccbbbbcbbbcbbccbbcacabbccccbbcbbbcbbcbabbbcbbbbbbbbcccbbbcbcbbbabbbccbabbcbbbbbbbccbbcbbbbcbbbbbbcbbbbbcaccbcbbbbabcbbcbbbbbbbbbccacbbbbbbbbbbcacbbbbbcbbcbcccbcbbcbcccbbbacbcbaccbbbbccbcbbbcbbbabbbbcbbbcbccbcbcabbbcccbcccbcbbbcbbbcbbcbbbbbabccbbbbbbcbbbbcbabbbcacbcbcbcbccaabbcbcacbbbbbbbbbcabbbbbbbbbccbbbbbbbbbacbbcbccbbcbbbbbbccbbbbbbccbcbbbccbbbccbcbcccccbbbbbbbbbcbcbcbbbbcbbbbcbbbbccbaccbcbbcbbbbbbcccbcacbbcbbbcbbbbbcbbbbcbcbbbcbbbbbbbbbbbbccbbbbbbbacbbcbbccccabcccbcbcbcbbbcbbccbbbbbccbbbbbcbbcbccbcbbbbccbbccbbbbbbbccbccbcbbcbcccbcccbbcbccbbbbbbbbbbbbbbbcbccbcbbcbbbcccbccccbccbccbcbbbcbbbbbccbcccbbbbabccbbbbcbbbbccbbbbcbbbcbcbbbcccaccbbbcbbbbbbbbbcbbccccbbbbbccccbbccbbbbcabcbbcbbcbcbbbbbbcacbcbaccbbbcbcccbbcbcbbccbccbcbcbccbbcbcbbbbbbbbbbcbbcbbccbbbbbcbbcbbbbcbbcbcbcbcbacbbcbcbcbbbbbbcbbcbbcbbbbbabbbbbbcbbcbbccbbcbbcbcbcbcbccbcbccbabacbbccbcbbbbbbbbbbbccbcbbcbbbbbacabbbbccccbbcbbcbcbbbbcbbbbbcbbbcbbbbbbbcbbcccbcbbbacbcbcbbbbbcbbccbbbbcbbbcbcbbbbbbbcbabbcbbbbacbbbbbbabcbcbbbccbcbbccbcacbcbcccbcacccccbcccbbbbcbbbbbcccabcbbbbbbbcbcbcbbcccbbccbbccbbbcbcbcccbbbbbbbcabbccbbbbbbbbbcbcccbbbbbbbcbbcabbccbbcccccccbacbbcbbbbbbbccbbcbbbcbbbbbbbbbbbcbbbbbbbbbcbccbcbcccbcbbbbcbbbbbabbbcacbbbccbbbccbbbcbbcbbccbcccbbbcbbbbbccbbbcbbbbcbbccbbbbcbbbbbcccacccccbbbbbbacbcccabbbbbbbbbbbcbbabbbbccbbbbbccacbbccbbbcabbbbbbacbbcbbbcbcabbbbcabbbbbabbbbbbbbbbcbbbbbbbbcbcbbbcbbcbbbbcbbcbbcbcbccbbccccbcbbcbccbcbbbcbbcbbbbbccccccbcccbbcbcbccbcbcbbcbbbbccccbbcccbbbbbbbccbccbbabbabcccbbbcbbcbcbcccbbcbccbbbbcbcbcbccbacbbbbcbcbcccbbccbccbbbcccbbbbccbbbacbbbbbcbbbccbccbbbbbbbcbbabbbcccbbcbbbcabbbbbbbbbccbabcbbcbcbbbbbbbbcbcbabbbbcbbbbcbcbcbcccbbbbbbacccbbbbbbbbcbcbcabbbbbbbbbbcbbbccccbbabbcbbbbcbbcbbcbbbbccbcccbbcbbbbccbbbccbabbbcbbcbbbbcbbaccccbbbcccabbbbbcbbbbbbbcbbbbbbbcccbbcbcbccbbcbcccbbbbbccacbbbbbbccbbbbbbcbccbccbbbbcccbccbbbbbbabbbbabbbbbbccbbbbcbcbbccbcbccbbbbbbbcccbbbbbcacbbbacbbccbcbbbbbcbbbbccbccbbbbcbbbbbabbbccbbbbbbcbbccbbcbbcbbbbcbccbbbbbbccacbbbbbccbbcbbccbccbbcbbcbbcaccbccbbacccbbbccbbbbbbbbcbbbcbcbabbbbbbbbbbcbbbbcbbcbbcccbccacabcbbbcbcbcbbbbcbbbccccbbcbbbbcccbbcbcbabbbbbbbbbcbcbcccccbbcbaacbbbbbbcbbbbbbcbbbbcbbabcccbcbbbbbcccbbbbbcbcbbbbbccbbcbbccbbcbbbbcbcbccbcbbbbcbbbabcccbccbbbbbbbbbbbbccbbaacbccccabbbbbcbcbbbbcbbbbbcbcbcbbbbbbcbcbcbcbbbcbbbcbcbbbcbcbcbbbbbcbcccbccbcbacbbbabbcbbcbbcbbbbabcbbbbcbcbbccbbcbbccabcbbbcbbbbbcbbabcbbbabbbbbabcbcaccccbbccbbcbcbabbbbcbbbbbbbbbbbbbabbcccbcccbbbbbbcbccbcccbcccbbbcbbbbbbbcabbbcccbbbbbbbcbbbccbccbbcbbcbcbbbbccbbccbccbbccbbbbcbccbbcccbcaabccccabbbbbbbbbbcbcbbcbcbbbcbccbcbbccbbbccbbbbccbbcccbccbcacbbbbcbbbbbbbcbbbbccbccbbbbcbbbabbbbcbbcccbcccbcbbcbbcccbbbbbbbbbbbcbbbbcbbccccbcbccbccccbcbbcccbccaacbcbbbbcccbbbbbcbbbbcbcbbbccbcbccbbbbcbbbbbbbbcbcbcccbcbbbbcccbccbcbbbbbbccbbccccbcbbbcbbccbbccbccbbbbbbccccbbbccabcbccbccccbcccbbbbbacbbbacabcbbbbbbcbcbcbbbbbcabbbcbbbabacbbbbbcacbbcbabbaccbcabbbccbcbacabbbccbbccabbabbcbbacbbcbabcbcbbbbbccbbbcbbcbbccbbabccaccacccbbbbbbbccbccbbbbcbbccbbbbbbbacbabbccbcbbbbcbbbcbcbbcbbcbbcbbbcbabbbbcbbcbbbccbcacbbcabbbaccbcbbbbbbbbccccbabbcbbbbbbccccbbbcbbabbbbccbbcabbaabbbcbbbbabbcbbbcbbbbcbcbbcaccbbcabcbabbcbacbccbcbccbcbcbbbbccbbbbbcccbacbcbbbbccacbbccbccbbccbbbbbcbbbbbcbbbbcbccbccbbbcbbbcbccccbccbccbcbcbbcbcbbbbbbbbbcbbbbccbcabccbacbbaccbbcbbaccbbcbbbbbbcbcbcbbabbcccbbbcacbbcbbccbcbcccbbbbbbcbbcccbbcbbccbbbbbcbbcbbbcbbbabcbbbbbbcbbbbbcbbbcbcbbbbbbccccbccacccbbbcbabbcbbccbbbacbcbcbbbbbbbbbcbbbbbaccccbccabbcbcbbccbcbbbccccbbbcccbbbbbcbbccbbcbbbcbbcbbbbcbbbcbccbbbbcbbbbccccbcabbbbcccbbccbcccbccbcbcbaccacbbbcccbbbababbbcccbbcccbcacbbbbccbbbbbcbbbbbbcbbccbcbabbccbbcbbbbcbbbcbccccbcbbcbcbcbbbbbbbccccccccbcbbbbbbbbbccbbbcbcbacbbbccbabbcbcbbbbbbbbbbabbbbbbbcbababcbccbcccccbcbcbbbccbbbbcbcbbcbccbbbcbbcbbbcbbccbcbcbcbbbbbbbcbbbcbcbbccbbcbbbbbcccbccbbbcbcbbccbbbbbbcccbcbcbbacbcbbbbcbcbbccbbabbbbbbccbbcccbcbbbcbbccccbccbababcbcabbbcabcbbbabbbbcccbcbcbbcbbbbbbbbcbbbcbbabcbbbcbccbbcbbbcbcbbcbcbbcccbbbcbbbbbbbbccbbccbbbbbbbbccccbbcbbbbcbcaccbcbcabcccabbbccbccbcccccaccacbbbabbcbcccbbbbcbcbbcbcbbcbbbccacbbcacbcbbbbcbbbbccbccbbbbbbbbbbbbcabbbbbbcbbbcbbbbbbbabbbcbcbbccbbacccbbcccabbcbbbbbbccbccacbcacbbbbccbbabbcbbbbbbabbbcbcbbbbcbccbabbbbbbbbbcbbbbbbcbcbbcccbccbbcbcbbbbcccbcbcccbbbbbbbbccccbbbcbbccccbbbbbbbacccbbbcccbabbbcbbbbcbcbcbbcbccbbbbcccbcbbbccbbbbbccabcbbccbcbbcbcbcbcbbbbbccaabbbcbabbbbbabbbbcbbbbcbcccbbccbcbcccbcbccccbcbbcbbcccabbccccbcbbbbccbbbbbbccbccbbbbcbbcbcbbbbcbcbbbbccbcbbbcbcbcabbbcbbcbbbbcbcbcbbbbcbbccbbcbbcbbcbbbbbbccbbbbccbcbbbbbbcbbcbccbbbccbcbbabcbccbabcbbcbcbcbbbbcbbccbbbbabbcbbcbbbbbcccbcbcbcbcabbcbbbbbcbbbcccbcbbccbcbabcbbcbbbbcbbbbcbbbabcbcbbbcbbcbbbbbbcbbbbbbbbbbcacbcbbcbcbbbbbccbcbcbcbbcccbbbccbbbcbbcbbabbbbbcabccbccbbbbbcccbbbbbbbbbcabbcbcbccbbbbbccbbcbbcccbcbbbbcbbcbcbbbbcbbcbbbbbbbbcbbbbbcabbbbbbccbbbbcbcbabbbcbbbbbbbbcbcbcbccccbccbbbbbcbbbcbcccccbcbcbcccbbbccbcbbccbbbbbcbcbcbbbcbbbbabbabbbbbcbbbbcbcccbccbbbbccabbbbbbbbbabbbbacbbbccbcbbcccbbbbccacbcbcccabcbbbcbcbcccbbbbcbbccbbbcbacccbcbbbbcbabbbccbbcaccabbcbbbbbcbbbbccbbcbbbcbccbbbccbcbbcbacacbcbcccbbbbbcbbcbbbbbbbbbcababcbbbbabccbbccccbbcbccbcbbcbbccccccbbacccbcbacbbbbcbbbbbcbbbccccbbccbbbaccbbcababbbabaccccccccccbcbbcbcccbcbbbcbbbcbbcbcbcbbbccabcbbcbbcbbbbbcccbcbbbbacaccbbbccbbbbbbbcccbcbbccccababbbbbbbcbccbccbbcbbccbbcccbabcbbcbacbaccbbaccccccbcbbcbccbaccccbbbbcbcccbbcbbbbcbbbccccbcbcabbbcbccbbccbbbbcbbbbbbcbcbcccbbbcbbcabbcbccccbcccbcbbccbbcbccbcbccbbbbbbabbccbbbcbccbccccbcbbcccbcbbbcbcbbbbcccbbbbbbbbbbbbbabcbccbbbbbcbcbcccccbbbcccbbbccbcbbbbbbbbbacbbbcbbccbbcbccbcbbbcabcbbabccbbbbbbccbbbbbbbcbcbbbbabbbccbbbbccaccbcbbbbbbcaccbbbbabbbbbbbbcccccccbbccbbbbbbccbabbbbcbccbbbccbbbbbbbcbabcbbbbcbbccccbbbcbbbcbbabcbbbccbccbbbabcbcbbbccbcbcbbcbbbcbccbbbcccccbbbcbbcbcbccabcccbcbcbcbccbbbbcacbbbcabcbcbcabbcbcbbbbbcccccbbbbcbccbbcbbbcccbbbbbbbbbbbcbbbbccbabbbbbbbccbbbccbcbbbbcbbbccbbbccbcbcbcbbbbbbbabbcbacbbbbbcabbcbcbbbbbbbbccbbbcbcbccbbbbbbcbbcbbacbbabbbbbbbccbbbbbcccccbccbbcbbcccbcccbccbbbcbbbccbccccbbccbbbcccccbbbbabccbbccccbbccbbcbbbbbbccbbcbcbcabbcccbbcbbabcccbbccbcbbbbbbcccccabcbcbbcbccbbbbbbbbbcbcbbbcbbcbbbccbbabcbbbbbcbbbcbbcbcbbcbcbccbbbbcbbbbbccbcbbcbcbbbabbbbcccbccbcbbbbbcbbbcbbbcbbccbcbbcbcccccbacbbbbbcccbbbbbbbabcabbcbbbcbccbbccbbbbacccacbccbbbcabbccbcbbbcbbbbbcbcccbbbcbbbbbcbcccbccbbccbbcaabcccbcbbbbbbcbbbbcbccbbbbcbccbcbbbbcabbbbcbccbbcccbbbbbbcccbccbbbbbcbcbbbbcccbbcbbcbbbbcbbbccbbabcbbbbcccbbcccccbbccbbbbbbbbabbbbcbcbccccbbbbabbbbbbcccbbbbccbbcbcbbbcbbbcccbbccbabcabbbbcbabccbbbbbbbcccacbbcbccabbbbbcbcbbcbbccbbcbcbcbbbbbcbacbbcbbbbbcbabcccbbbcbbbcbcbbbbbbbbbbcbcbbcbbccbbbcbbacbbbbbccbbbbbcccccbcbcbabcbbbbcbcbcbbbbbbcbbbbbcbbabbccbbbbbbbbcbbcabbccbbbbbbbbbcbbcbbcbabbbcbccbabbbbbbbccccbcacbbbbbbcbbcbbcccbbcbcbcbccbcbbcaccccbbbbbbbbccbbccbbbcbcbcbcbacbbcbbcbacbcbbbbabbcccbcbbbccbbccccbbbbbbbbbbbbbbbcbbcbccbbbbbbbbcbcbbbbbcbabccbbbcbbccbcbbcbcccbccbbccbcccbbbbbccbbcabbbbbcbbbbbbccbabbccabbbbbbbbbbbbbbbbbbbcacccbcbbcbcccabbbbbbbcbcbbccbccbbbbbbbbcabbbbbbabbbcbcbbbbccbbccbbbcbbccaccccbbccbbcbbbbcccccbbbbbabbbbcbcccbbcbbccccbbbacccbcbcbbbbcbacbccbbcabcbccbcbccbbccbcccbbcbbbcbaccbcbbbbbcbbccbcbbbbbccccccbcbbbbcbbcbcbcccbbcbccbcbbbbccbbbbbbbbbbbbcbcbacbcbbcbbbccbbbbbcbcbbcbbcbccbbbbbcbcbbbcbbaabbccabccaccbbcbbbbbbbcbbccbbbbbcccbbbbcbbbccbbbccbbbbbccbcbbbbbbbccbcbccbccbbcabbbcbbcabcbbcbbcccbbcbbccbcbbbbbbcbccbccbbbccbbbbbacbbbbcbcbbbcbcbabacbccccbbcbbbcbbbbbcbbccbbbcbcbbcbcbbbaacbbcbbccbbccbbcbcbbccbcbbbbbbbccccbbabcccccccbbbccabcbcccacbccbbbbbbcbbcbbbbbbbccbbbccbccbcbbabccbccbbbbbbbcbbbbbbbcbbccacbbbbbcbbacbbcbcbbccbacbbbbcbcbbccbcbccbcbbcbcabbcbbcbcbcbccabcabcbbbcbbcbbbccbbcbbbccbccbcbbbbbbbcbabbbcbabbbbbbcbccbbcbbabccbbbcbcbccbbbbccbbcbcbbbccbbcbbccbcbbbbbbcbabcbbcbacbbcabcbabccccabbbccbbbcbcccbbbcbbbbcbbbbbbcbbbbbcbcbbcccbbacccccbbcbccccbccbbcbccbbaccccbbbcbccccbbcbbbccbcccbbbcbcbbcbbbbbbbbbbbbbbccbbbcbbbbcbbbccbbbcbbbbbcccbbccccbcbbcbbbbbbbbbbcbbbbbcbbbbbcbbbbbaccbbccccbbcbbcbccbbbbcbbcbbbcbbbbabbbcbbccbbcbcccbcbcbbbcbcccbcbccbbcbabbbbabcbbbcbbbbbccbbccccbbcbcbccbccbbccbcbbbcbccbbcbbbcbbbcbbbbbcbcabbbbbccbbbccbbcbcbbccbbbbcbbcbbcbbcaccabbbbbbbcbbabccbcbbbbcbbcbccbbbbcbbcbcccbcbbcbcbbbbcbbcbcbbcccbbcccbcbcbcbcbbbcbbbbcbccbcbbbbbbbacbbcbbcbbbcaccbacbcabbcbcbcbcbccbbcbbcbcccbbcbbcbbbbbbcbcbbbbbcabbbbbcccbbbccbabcbbbbbbbccbcbbbcccbcbbbbccbbbbcccbbcbcbcbbbcbbcbbbcaccacbbbbbccbbcbbbbcbcbbccbbcbccbbcbbbbbbbaccbbbccbbcbbcbcbbbbbcbbbbcbabbbbccbbbccccccbcbbcacbcbcbcccbcbcbbcbbcccbcbbbabbbbbbbababbbbcbbbbbbcbcabbbccbcbbccbbbbacccbccbbbbbbbbbbbbbccbccbccbbbbbbbccccbbbcccbbbabcbccbbbbbbccbcbcbcbacbbbabbccbcacbbbcbbabbbbcbbcbcbbbbccccbbbbcbcbbbbbcbbcbbcbcbbbbabbcccbbcbbbbbccbcbbcbbbbccbcbabcbcbbcbcbabbcbbbbbbcbabcbbabccccbccbbccccbbbccbbcbbcbcbbbbcbbbbbacbbbcbbbccbbbbbbbccbcabbbabcbbbcbbbcbcbcbbcbabccbcbcbbbbbbcccbbbbcbcbcbbcbbcccbbcccbcbbccbbbcbbabbccbcbbccbbbbbbbcbccbbbbcbbccbbbbcbbcccbcbcbcbcabbcbccbbccbbbbbcbccbbcbccbbbccbcbbcabcbbbbbabaacbcbcbbbbbcccbabbbbcccbbccbbbcbbbbcbbcbcbbcccbbcbccbbccbbccbbbbabbcccbbccbbbbbbcccbbbbcccbccbccccbbbcbbbbcabbbbbbbbbbcbbbbcccabbbbbbbbbbcbcbcbcbcbbbbbbcbcbbbbcbbcbcccccbccbcbbcbbbbbbcbbbbbbccbcbbbbbbbbabbcbbbcbabbbbcbbccabcbbbccbccccbbbbbccbccbccbbbccbcbcbbcccbccbcbcccbcbcbcbbbbbacccbcbbbaccbcccbbbcbbabbbcbbbbcbbbbbbbcbbbcbbbbbbccbcbcbbbbcbcbbcccbaccbbbcccbcbbbccbabbcbccbbbbcabbbccccbcbbbbbbbbbccbcbbbbccabbbbbbbcbabbbbbccbbcbbbbbbcbbbcbbcccbccbbbbccbbbbbbccccbcbbbcbcbbbbaccbabcabbbbbbbbbbcbcabbcbbbabbcbbabbbbccbbcbbcbccabcbccbbbcbcbbbcbbcbbabbbbbbbabbbbbbccbbbcbbbbbbcbcbabbbcbcbccbcbbcccccbbbcbbbbcbcccbccbbcbbbbbbbccbcccbbbccbbcbbbbcbbbcbcbcbbbcbcbbbbbbbcbcbcccbcbbbcbcbbcbbcccbbccbbbabbbbbbbbccbcbccbabbbbbcbbbbcbbbbbbbcccbbcbcbcccbcbbbbccbbbbcbbbbbbbbccbcbcbbcbcbbccbbccbcccbbcccbbbbbbbbbbbbccbbbcbbbcbbbbcbbbcbbcbcbacbbbbbbcbcbbbbbbcbcbbccbbbbbbccbbbbacccbbbbccbcbbcbbabcbcbbcbbcbbcccbbcbbbbbbccbbbbbccbbcbbccbbbcbcbbcbbbccbccbcbbbcbbbcbccbcbbccbbbccbcbbcbbbbbbcabccbbccbcbbbbbbbcbbbbbbbcbbccacbbbbcbcbbbbbcbbbccbbbcbbbcccbbbcbabbccbbbbcbcbbbbccbbbccbbaccbbbcbbbcbbbcbbcbbcbbcccbabbccabbccbbbcbbbbcccbbcbabbccbbccccbbccbcbbbbabbbcbcabcbbbcbbbabbbbbbbbcbccacbbbcccbbccbbcbcbbbcbcbcabccbcbcbbaabaccbbbbbbcbcbabccbcbbbbcbbbbcbabccccbcbbbbccbcbbccbccbbbcabbbcbccccbabbbbcccbcbcbcbcbbcbcbbbbbbbbbabbbccbabbbbcbbcccccccccccbcbbbbccbbcacbbcbcbcbbbccbcaccbbbbcbbaacbbcbbbbccbbbbabcbbcbcbcbbbcbcbbccabbbacbccbbbbbbbccbbbcbbcbbbcbcbbbbbcbbbbbbbcbcbcbbbbbbcbbbbbbbccbbbbcbbcabbbbccbcaacbcccbbcbccbcbcbbbbbbcbbcbbbccbbbbbbcbbbccccbbbbbbbcbbcbbccacbbbcbbbbbbbccacccbcbbbbccbbbcccbcbbbbcbbbaccccbbbbbbbbbbcbbcbbbcbbbbbbcccbcbabccbcbcbbcbbbbcbbcbcccbcbcbbccacbbccccbbbbbabbbbbbcbbbcaccbccccbbbbccbbbccbcbcccbccbbbaabcbcbbbccbbbbcbccbcbbccbccbbabbbabbcbcccbccccabcbccbcbbccbbbabbcccbbabccbcccbcbbcbbbbbbbbbbbccccbcbbbbcbccabbbcbbcbbbcccbccccccccccccbbbbccbcbbbbcbbcbbbccbccccbababccbbbbbbbbccbcbcbcbbcbccbcbbbbbbbbbcabbcbcbbbbcccbcbccccccbccbcbbbcbbbcbbbcbbbbcbbbbbbbccbbbbbbbbbbbbbcccccbbbbcbbcbbbcbcbccbbbbbcabbbcbcbbccbabcbcbbcbaccbcacbcbbbbcbcbcbbcbbbbbbccbbbcbbbcabcbccbcbcbbcbccbabbbbbbbbbbbbbcccabcbbbcbcbbbcbbcbbcbbbccccabbcbbcbccbbbcbccbbbccbcbbbcbcccbcccbcbbbabbbcbbbbcbababccbccbbbbbbcbbbbbcbbbcbbccbbcccabbcbccbbcbbbbbbbbcbbbbcbbbbcbbcbbcbcbbbccabbccbbccbacbcbccccbbbbabaccbbcbbbbbbbcabbbbcbbccbbbccbbbbbcbcbcbbbcbbbcbcbcccbcbcbbbbbccbccabbbcccbccbacbbccaccbcbcbbccbbcacbbbbcbcbccbbbcbbcbbbbcabcabbcbbccbbcbbbcbbbcbbcccbbcacbbbbbcbbbcbbbcabcbcbcbbcbbbbbbbcbccbccccbcbbababbbcccbbbbcccbbcbbcccbbbabcbcbcbbbcbbbbbcbcbbcbbbbbbbbccccbbccbbbbbcbcccbcbcccbbbcbcbcbcbbbbcbcbbbcbbbbbcbbbbcbbbcbbccbbbbbccbbbcbbbabcbbbccbbbbbbbcbcbcbbbbbbbbbccbbcbbcbcbbbcccbbabbccbbbcbbcbaccbbbbbccbcbbbbbbcabbbbcbbbbbccbcbcbcbbbbcbbbbbcbcbbbbbcbabbcbcbbbcbbbccbbbcbbbcbbbbbcbbcbccbbcbbcbcabacbbbccbbbbbbcbbbbbbbccbbbbbbabcccabbcccbcbbbcccbbbbbbbccbbcbbbbcbccbbcbbbabcbcbbbcbbbcccbbcbbcaccbbcabcccbbbbccbbabbbcbbbcbbccccbcbcbbbcacccbbccbbbbcccccbcbbccbbbbccacccbbbcbcbbccbbcbbcbbbabbbccbbbbbbbcbcbcbcbccbbbbbbbcbcbcbbbbbbbcccbcbbbbbbccbbacbbcbbbbbcccbbbbbccbbccacbbcbcbcccbabcbbbbbccbbcccbbcbaccccccbcbcccbbbbcbbcbbcbbbbbbbbcbccabbbccbbabbcbcbcbbcabbbcbcbbacbabbbcbcbbbbbbbccbcbcbbcbcbccbbabbbbbcbbcbcbcbbbcbcbbbccbbcbbccbbbcbcbabbbbcbbbbcbccbbbcbbbcbbabbbcccccbcccbcbbbccbbccbcbccbcccccbbbcbbcbcccbbcbbcbbccacbccabbcccacbbccbcbccbcbbcbcbcbacbbcbbbbbcbbbbbbbbcbcbbbbbbbbabbbbbcbbbbcbbbccbacabbacacbbcbcbbccbcbcccbcbbcbcabbbcbbbbbbbcccbbcbcccabbbcbbbbbbbbbbbbcbbbccbabbcbbbbbcccbbcbcbbcbbbcbbcbbbbbacacbccbbbccbbbbbbcbbcbcbbccbbcccabbbbbbccccbbbccbbccccabbbccccbbbbabbbbbcbbcbbcbacbccabbbccbbbbbbccbbcccbcbccbcbbbbbcccbcccbcbcabbbbbbbbbbbbbbbbbbcbcbbcbbbcbbbcbbbbccacbbbbccccbbbcbbccabbbbbcbcbbcccbbccbccacccbcbcbbcbcbbcbbbbbbcccccbccbbbcbcccbbccbabbccbccbbbbbbbbbcbbbcccbbcccbcccbcbcaccbccbbbbbbcbbbbbbbcbbcccccacbcbbbbbbbbbbabbcbbbbbbcbbcbbcbcbbbccbbcbbbcbcbbaccbbbbbbbaccbccbabacbcbacbcbbbccabcbcbbcbbbcbcccbbbccbbcbbbbcbccbcbbbcbcbcbcbbcccccabbbbcbcbabbcbcccbbbbcccbbbbbbccbbcbbccbbcbcbbbbcbcbccbbcbcbcbbccccabbbbbbcbcbccbcbbcbbcbccabbbcbacbcbaccbabbbbacbccbbccbcbbbcbbbbbbcabbccccbbbcccbcabcbcbbacccccccbbbbbcbbbbbcbbbcccbbbbbbbacbccbbbbcbbbbbccccbbbbbccbbbbbcacbccbccbbcbcbbbbcabbcbbccbbcbbbbbbbbcbbbbbbbbccbccbcbbcbbbbccbcbccbccbccccbbcbbcabaccbbcbabcbbbbbbcbbccccbbbcbcbbccaccbbbcbbcbcbccbccccbbbbcbcbbbccbcbccbcbbbbcbcbbccbbcbcbbbbabbbbbbbbccbbcbbcbcbbbccbbcbccbbbbbcbbccbacbccbbcbbcbcbbbabcbbbccbbbbbcbbccbcbcbcbbbbbcbcbccbbbbabbbcccbbcbbbccbbbbbbbccbcbccbbbbbbccbccbbccbbbbcbccbbcbabbbbbcbbbcbcbbcabccbbacbccbcbbbbcbbccbcbbbccbbbcccbbbcbccccbcbcbccccbbccbbbbccbbbbbbacccbbcbbcccbcbabbccbacbbbbbbbcbbcbcbcbccbcccccbcbcbbbbbbbbcacbcbbbcbccbcbcbbccbbbbcbcbbbbcbbccbbccccbccbccbcababbccbbcbcccbcbcbbcbcbbbcbccbbcbbcacbbbcbabccbbccbcbbbbbcbbbbbbcbcbcbbbbccbbbcbcbccbbccbbcbbccbbbcbbbbbbcbbcbcacbcbcbbbbbcbbccccbbbcbcbcbbbbccbbbbbcbcbcabccbbcbcbccbbbbcbbcbcacbbbcabcccbbbccccbcbbacbabbbbccbbbcbbbbcbbbbccbbbbbcccbbcbcbcbccccbbbcbbbbbbbbbcbbbbbbcccbccbbbbbcbcbbbbbcbbbcbcbcbcbbbbbbbcccbbbbcbbbcbbbbbcbccbcccbcccabcbccbccbcbbcbbcbbcbcbcccbbcbbbccbccbbccbcbcbbbcbcbccbcbcbacbbccbcbbbbbbcbbbcbbbcbbbcccccbcbbcbbcbbbcbbcbbbbbcbbbbcbcbbbccbbbcbcabbbbcbcbabbbbabbbbbcbbaccccbbbbcccbccbbbcbbbcbbbbbcbcccbcaccabcbcbbcbbbbbccbcbbbcbbcbabbbbbbbbbbcccbbbcbbcbbabacbcbcbcbbcbcbbcbbbbbbbbbcbbbcbbcbbabbcbbcbccbbbbbcccbcbbbbbcbcbccbbbbcbbcbcbccacccbccbbbbbbcbcbcbcbbbbbbcbbcbbcbbcbcbbcbbbbbcbbbbbbcbcbcbbcbaccbbbbbbcbcbbbbbcbbbcabbbcbbcbbbcbaabbbcbcbcccbbbcbbcbbcbbcbbbbbbccbcacbccbccccbcbccbcbbbbcbbcbccbccbbcbcbabbbccbcbcbbcbcbbbbbbaabcbbbbcbccbbcbccabbbbbcbccbcbbbcbbbbcbbcabcbbcbcbbcbbcbcbbbacbbbbbbcbbbbcbcbcbbbccbbbcbbbbcbbccbbbbbbcbabbcbbbcbbbbbbbbcbcbbbbccccbbcbbbbbcbbbbccbccbcccbbccbbccccbbbcbcbbcbbccbbcacbccbbbcbbbcbabbbbbbbbbccbcbcbcbbcccabbbbccbbbcbbbbccbbbbccaabcbacbbcbbcbbccbcbcccbbbbcbabbbbbcbcccbcccbcbbbbacbccbccbbbbbabcbcbbbbbbbbbcbbbbbbbccccbccbbbbbbcbbcbcccbabcbcccbcbbcbbaccccbbcbcbbbcbbbbbbcbbbcccccbbbcbbbcbbcbbbbbbbbccbbcbccccccbbbbcbbbbbcbbbbbcabcbbbbbcbcbbccccbbbbbbbcbbbcbcbbbbcbbababcbcbbcbbbccbcbccbbbcbccbabacbbccbcabcbabcccbbabbbcccbbbbbbbcccbbbbcccbccccbccbbbcccbbabbcbccbabbbccbccbccbbabcbcccbbcbbbccccbacbcbbcccbbbbbcbbbbbbbbcbbccbccbbbcbcbcbbbbbcbbbbccbbbbbbcbbcbbbcccbbbcbbbccbccbbccbbbccbcbbbcbcbbbcccbbbbbcbbccbcbbbbccbccbbbcbbbcbcbbbbcaccbbbbbbbabcbbcbcbbbcbbccbbbbbbbcbcbbbabcbbabbccbbbacbbabcbbbbbababbbbcbbcbbbcccbcbbbbbbcccbbcbcbacbbbccbbbbcbbbcbbbbbccbcbbbcbcbccbbbbcbcbbbbbbbbacccbbcbcbcccccbbbccccbbccbcbbbbabcbbcbbbbbbcbbbbcbbaccccccbbbbaccbbbbbcbaccbbabbbbbcbcbcbcbbcbccbbbccbbcbcbcbbbbbbcbaaabbbbcbcbcbbbbcbbccbbbaabcbbbbcbbcbccbabbbabbcbcbbbbbbbbbccbcbcbccbbbbbbbcbbbbbccabbbcbbccbcbccbbcbacbbcbcbbcbbccbccbccbbcbcbccbbbbbbbbbbcbcbcbbbccbcbbcbcbbbcbbbbcabcbcbbcbbbcbbabbbccbbccccbcbacabbbbbbbccbbcbcbbbbbccabbbbbbbcccbbcbbbcbcbbbccbbbccbbabbcbcbbbcacbabbcbcbbbbcbbbbbbcabbcbcbcacccbbbccbcabccccbbcabcbbbbcbbcbbcbbbcbccbacbbcbbbbbbbbbbccbbbcccbbbbcbbbbcbcbbbccbbbbcbbcbcccbbbcbcbcccccbbcbcbccbbbcbbcbbbcbbccbbbcbbbbccbacbcacbbbbbccbcbbbbcbccccccbbbabbbcbbcccabbbcccbcccabcccbbabbcbabcbbbbbcccbbbbcbcbcccbbbbbbbcbbabbbcbbbccbcbbcbbccbcbbcbbcbbcbbcbbcbbccbbcbbbbbcbbbbbcbccbbbbbccccbbbbbbbbbbccbbbcaaccbbbccbbcbbcbabbabbcbbcbbbbbabbbcbbacacbbcccbcbbbcccbbcbcbcbbbbccbbbbbcbbbcbbcbbbbaccabbbcbbbcbcbbbbbccbbbbcacbbbbbbcccbbbccbbbcbbcccbcbbbcbcbbbbbbcbbbbbbbbbbbbacbbbbbbbbbbbcbbbcbbcabbcbcbcbbbcccbcccbcccbacbbcbccbcbcccbbcbbbccbbcbbbccbbbcbcbcbbbbccccbcbccbbcbccbbbbbbccbccbcccbbbacbbbbcbbabbcacbccbbbbcbbbabcbbbbcbcccbbbabbbabbcbbbbcbcccbbcbcbbbcbcbbaccbbbbccccbbbbbbabcbbbbbbbbbbacbcccbbcbbbbccbcbcccbbbbbabbccbccccbacccccbcbccbbccbbbccbcccabbbbccccbbbcbcbcbabbccbbbcbbccbbccabbccbbbbbbbbbccbcbcbbbbcbbbbbbbcbbcbbbcbbcbbcccbcccbbbbcbbbbbcccbccccccbbcbbbbbbbcbbbcbbbbbccbbcbaaccbccbccbcbbcbcbabbccbbcccbbbccccbbcccbcbcbbbcbbbbbabbbbbcbbbccbbbbcbbbcbbbabcbcbabbbbbbccbccbccccbbccbbcbbbbccbbcbbcbcbcbbbbcbbbbbbcccbccbcbbbbbbbcccbccbbbcbbbbbcbccccbcbbcbbbcbbccccbbcbbbbcbccccbbbbcccccbbbcbcbccccbbbbcbbbbcabbbbbbbbccabbbcbbbccbcccbbccbbcbcbcbbbbccbbbbbbbbbcabcbcacbbccbcbabbbbbacbbbcbbbbcbbcbbbbbbbbcccbbbcccccccacbcabbbbabbbcccbabbcbcbcccbbbaccbcccccbccbbbbbbcbbbcbbcccbbbbccbccbcbcbbccbbbbbbbbbcbcbbaccbcbbcbbbaabccccbbccbbbbbbbbbbbcbcbccccbcbbcbcbbcbbcbcbcbbbccbabbbaccabcbbbbbcbccbbbbbbbbbcccbcbbcbcbbcbcbbccbcbcbbbabcbbbbbbcbbbcbbccacbcbbcbcbbcbbbbbbbccccbcacbcbccbbcbccbbbbcbbbccbbbbbcccbabbbcbcbbcccbccccbbccbbccbcbbbcbcbbbccbbbbcbbcbbbcccccbbbccbbccbabccbbbbbababbbcbbcbbbbbbcccbbcccbabbbbbbbbcbbcbcccbcccbbcbccbcccccbcbbbbbccbbbcbccbbcbcbbcbbbbbcbccbbbbbbcbbabbbbcbbcbbccbcacabbcbbbbcbbbbccbccbcbbbccbbcbbbcbcbbbbbabbbcbccbcbbcbbbbbcbcbbbbbcbbbcbbbbccbcbbbccbbbbbabbccbcbccbccbcbccbbcbbabbbbcbbbcbbbbcbbaccbbbbbbccbbbbbbbbbccbbbbbcbbbbcacccabccbcbccababbabbbbbabcbccbbbbbbcbabcbacbbbcbbbbbacbcbbabbcbbbbbbbbbbbbbcccccbbbbbbbbcbbbbcbbcbbcbbbcbbccbbbcccbbababcacbabacbbbbbbbbcbbcbbbcccabccaccbccbbbbbcbcbbbcccbacbbbcbabbccbcbccbbbcbbbbbcccbabbcbcbbccbbbbccbbbbbbbbcbcaabbbcbaccbbcbbbccbbbbbcbbbbcbbcbbbbbccbbbccbbcbbccbcbbbcbbbbbbbccabcbbbccbbbbbcbccbbbbbbcbbbbbabbbabcccbbbbcccbbcbbcccbbcbcbbcbbbcbcbbcbbbcccacbbbcbccabbbccbbabbbcbbbccbcbbccbbccbaccbccccbccbccbbccbbcbbbacccbbbbccbccccbcccbcbcbcbbbbbbbbcbbcccbacbbbbbcbbbcabbcabcbcbbbacbcbbccbbccbcbbbbabbccbbbbbbcababbcbbbcbccaccabbbbcbbccbbcbbcbbcabbccbbbccbbacccbbcacbcbcbcbbbbcbbcabbbabcbbbcbbbcbbcbbbbbcbbccbabcbbbcabcabbcbcccccbbcbccccabbccbcbbbabbcbbbcbbbbbbaabbccbcbbbacabbbbbcbbcbbbbcbbbccbcbbbbccbbcbcabccbbbccbbccbbbbbcbcbbbbcccbcbbbbccbbccbcbccbcbbbccbbbcbbbccbbccbbbbbcbcccbbacbbcbcbbbcabbbcbbbcccbbccbbcbbcbbcbaccbbbbbcccbbbbcbccbbbbcccbbcbbcccccbbbbbbcbbbbcabcbcbbbbbccccbaccbbbbcbcccbcbbccbbbccbbcbcccbcbbbcbcbbbaabbbbcbbccbbbcbbcbabccbbcbcbcbcbcbccbcbcbcbbbbbbbbbbbbbbcbbbbbbcbbcbbbbcbbbbbbcbbbcccbbacbbbbccbccbbcabbccbcbbcccbcbabcbbbcbbcbbbcccabcbbbbbbbbbcbbbcbcbbcbcbccbacccbbbaacabbaccbbbbbbabbbbcbbcccbcbcbccbbbbbbbbbbcbbbccbccbbcbbbbbacccbccbbbbbbbbcbbbbbbbbcbccbbbccabccbcbbbbccbcbbbbccbbbbbbbbcbbbbbbbbbbacbccbcbccccbccbbcbbbbcbbbabbcbbbbcbbbbabbcbbacbbbbbcbbcbcbcbbccbbbbbbbcbccbcbbcbbbbcbbcbbcbcbabcbbbabbbacbcbbbbccbbbbbbbbbbccbccbbbcbbcbccbbbbcbbbabcbcbccbbcbcbbbabbccabbbbbbcbabbacbbcabaccabbbbbbbbbbbcbbbbcccbccbbcbbccbbacbbccbbbcbbbbccccbccbbcbbbbccccabcabbbcbcccbbabbcbcbcbcbccacbbbbcabbacccbbbbbcbccbcbbbcccbbcbbbcbbcabbbbcbbbbcbccccbbbbbbbbccbbbbbbccbcccbcabbbccacbbcbbacbcbbbcccbccbbcbbbbbbcbbbacccbcbbbbcbcbcababbccbbcabbccbcbcabbbbbcbccbbbcbccccbcbbbccacbcbacbbbccbbbcbbcbbccbbbbbcbcabbbbbbbbbbcabbbcbbbbbbbabbbbbbccbbbbcbbbcbccbbcbcbbbbcbccbbcbcbbabccbcbbcccbcbcabcbcbbbccbbbccccbbacbcbcbbbbbbbcccbbbccbbbbbcbbbbccbbbbbbbcbbacbbcbccbcbcbbbbbbbccbbbbbbbbbcbbbcabbcbbcccabcbbbcbbbbbbbacbccbbcbbbccccbbccbbcbabbbccbbcbcbccbbcbcbccbbbbbbccbbbacbbcbbcbbccbbcccbbbbbacbbbcbbcbbbbbcbcbbcbcbcabbbbbbbbbccbbacbbcbcbbcbbbcabbccbbcccbcbbbbccbccbccbbbabcbabcbbcbcccbbbccbcbbbbbcbbbbbbbbccbccbbbcbccccacbbbbbabccbbbccbbcbacbbbcbbbcbbbbcbbcacbccbbbbbcccbbbcacbbbcccbbccbbbcbcbcbabbbccbcccabbbccacbbbccbbbbbbbbbbbcbbbbbcbccbbbbbbbbcbbacbcbbbbabbcabccbbcbbbbbcbbbbccccbcbbbbbacbbbbbcbbbccbbbcccbbbbbbcbacbbbcccccbcccccbbbcbcbabbbbabbbcbcbbcbcccbbbbbcbbbcbccbccbcbbcbbbbbcbbcbbbbbbccbacccbbbaccccccbbbcbccabbbcbbbbbbcbcbbbbcbcbbbbbccbbbaccbbbbbbbcbbcbcbbbbabcbbccbbbcbbccbbcbccbcbbbcbcbbcbbbbbbbbbbbcbbbbaccbcbccbcbcbcbacbbbbbcbbbbcbcbbbbbbcbcbbbbbbcbbbcccbbbbbbbbcbcbcabccbcbbabbbbcabbbbbccbbbccbbaccbbbccccbcbbcbbcbcbcbbcbcbbbccbabccbabbbbcbbbbccccbccbbabbbbccccbbbbbccbbbbcbbccbbcccbcabccccbbcbbcbbcbcbccbbbbcbbcbcbbcbbbbccbbcccccbbbbbacbbbbbbbcbbbcbbbbccbbbbcbbcbccbbbabbbbbcbbbbbbbbbbccbcbbcbbbbcccbccbbbbccbbbbcbbbcbccbbbcbccabbbbcbccccabbccccbbbcbbccbccbbcaccabbbbbbbbbacccccbbccbbcbbbcbbbbbbbbbcbbcbcbccbbbbcbbcbbbbcabcccccbbccccbbbbbbbcbbbbbbbbcbbbccbcbbbbcbbcbcbbbbcbcbbbbccbbcbcbbabccbcccbbbcbcbbbbbbbbcbabbcbbbcbbbcbcbbbcbbbbbcbabcbbcccbbabcbcbbcbbbbbbbacbbbbcbbbcbbcbbbcbbbbccbccbcbbcbcbbcbcbccbbbbbbbbbcbbacbcccbbbaabbbbbbbbcbbcbcbcbccbbcbccbbbccacbcbbbbbccbbcbccccbbbccbccccbbbccbbbccbbccbcbbcbcbbcbbbbbcbbcbbbbccbcbcbbbbbbccbbbcbccbbbbbbbbcbcbbbbbbbccbbbcbccccbcbbcbbccbbbbbbcbccbcbbbbbbbcbbbccbbccbbbbbbbacbcbbbbabcbccbbcbccbbbbbbcbcbabccbcccccccbcbbbacbcbcbcbbcccbccacbbbcbbcbbcbbcbbcbbbbbcccbbcbcccbbcbaccbccbbbbabcbbcbcbbbcbbbbcbbbbbbcbbbcbccbcbcbabbbbcbccccccabbbbbbccccbcbcbccbbbbabbbbccbbbcbcbcabbbbcbbbccbbbcbbbbcbbcbbcbccbbbbbbcbbbbbbccbbcbbbbabbbcccbbbbbbccbbcbbbbbcbcbcbbcbbbbbbbbcbcbbcbbcbbabcbbbbbcbbbccbccbcbbcbbbccccbbbccbbcbbbbbbbccbbcbbbbbbbbccbbcbcbcbbccbcbbbcbbbbbbbbcbbbcbcccbbbbbbbcbbbbbbcbbccbcbcbbbcbbbbbcbcbbbcbcbcccbbccbbcbbbcbbbbbbbccbbccbbcbbbbcbccbbbccbccbcbbbcccccbccbbbcbbcbbbbbbbcbacbcbbcccccbccbbbbbababbbbbcbcccbccbcbbbcbbbabbbcbcbbbcbbcccbcccbcbcbbbbbbbabccbcbbbbbbbbbbcbbcbccbccbbcbcccbccbbbbbbccccbbbbcbcbcbbcbaccbbbcbbcbbbbbcbcccbcbbbcbbbabbbbccbbbbccbabccbbcbcbaacccbcbccbcbbbbbbcbbbcbbbbbbbcbbcbcbcbcccbcbbccbcccccbbccbcccccbccbbccbcbbacbcccbccbbcbbcbbcbbccbbcbccbbcbcbbbacbbcccbbcbcbbcbbabcbbbbccbbcbbbcbcccbcbbcabcbbcccbbabbcccabcbbccccccbccbbcbbcbbbbbccbcbbcbbbbcbccbbccbcbbbbbbbbbcbcbccabcccbbacbbbbabbbccbbbbbbccbbcabbbcbbbcbcbbcbbcbcbcbbccbbccbbcbbbbcbcbbbbcbcbbcbbcbbcabbcbbbcccbbbcccbbbcbccbacbbbbbbbcccbcbbcbbbbcccbbbbbbbacbbbbbbbbbbcbcbbbbbbbbcbbbbcbbbcbcbbcbccbcbbcbbcbbbbcbbbccccbcccbbbbbbbbbbbbbbbbbbccbabbbbcbcbbbbbbcabbcbbbbbbbbaacbbbccccbbbcbbbcbbabcbacbbbbcbcbbcbcbcbbbcbacbbbbbbcbbbccbbcbccccbcbabbbcbcbbcbbcbccbbbbbbccbbbbbbbbbbbbbabbcbcbcbccbccbccccccbccbbabbcccccbbbbbbbbbabbbbcbccbbabbbbbbbbcbbbcabbbbbbbabcccbbbbbbbbccbbbbbbcbcbbbcabcbccbbabcbbbccbbbbbbbcbacbabcbbbbbbcbbbbcbbcbcbcccbcbbcbbcbbbbcbbcbbcccbacbbabbcccbacbbbbbcbcbbccccbcbbacbbaccbbcbbcbbbcbbbbbbccbbbbbbbcbcccbbbccbcbbbcbccccbbbbbbbbbbbbcbcbbbbccbccbbccbbbcccbbcccbcbbccbcbbbccbbbcabbcbbccccbbbccbbcbccbccbcbbbcbbbbbbbcbcccbbbabbbbbcbbbcbbbbbbccbbbbbccbbbaccbbcbbbbccbbcccbbbbbbbcccbcbbacccbcccbbccbcbbcbbccacaccbbcbbbbbbccabbbbbbcbcbacbcbbcbbcbcbbcbbbbcbcbcbbcbcbbcbccccbbcbbcbbbbbbcccbbbbbccccbbccacbbcbbbbbcbcbccbcccbbccbcbbcbcbccbccbccbbbcbcbcbcbccbcbcbcbcbcbbbcbbcbcbbbcccbbbcccbccbccbcbbbbccabcbbbaacbbcbacccbbbcbbbccccbcbcbcccabbbcbbcbbabcbbcbcabbcbbbbbbbbbcbbccbbbbbcbbbcbbbbcbbcbbbbbbcbcbbacbbbbbbbcbcabbbbabbbbcbbbbabacbbcbbcbccbbbacbbbbcbbbbbcbbbbcccbcbbbcbcbccbbcbbcccbacbbcbbcbcbbbbbbcbcaccbbbbcbcbcbbbbbbbbbbcccbccccbcbccaabbbbcbbbbbcbbbbbbcbcbbcbbcccbccccccacbbbbbccabccbbcbacbcbbccbbbccbcbcbcbbcccccbbcbbcbcbbbbbcbcbcbbcbbbbbcbbbbccbbbccbcbacbcccbcccbbbcbbbcbbccbbbcbabbbbbbcbcbbcbbbcbbbcbbbbbbbbbcbbcccbcbbcccbcbbbbccbbcacbabbbabbbacbcbbbbbcbcbbcbcbcbccbacbbcbbcbcbccbbccbbccbbbcbbbbbbbbbbccbccccabcbccbbcbcbcbbbccbbccbaccbbcccccbcbabccbbcabcbccbcbbccbbbccbcbcbccbbcbbbccabcbccbcbbbccbbcccccbccbbbbcbbbbcbbbcbcbbbabbabbbbcacbabbbbbbbcbcbbbbcbbbbbbbccbbcbbccbcccbbbcbcabbcbcbccbbbbbbbbbbbbbbbbbbcbbbbbcbcbbcccabbbbcbcabbcbcbbbbbcbcccccccbcbbbbbbccbbcbbbbbbbcccbbbbccbcbbcbbbbcbcbbabbbcbbbbcbbbbbcbcbcbbbbcccbcccabacbbcbbcbbbcbbcbcbcbbbcbbbcccbbcbcbcbbcbccbbcbbccbccccbcbcbcbbbcbbbbbbbcbbcbbbbcbbbcbccbbcbacbbbbbcbbbbbbbbbbbbcbbbbbcbbbbcbccbbbcbbbcccbcbbbccbbcbbcbbccbbcbbbbbbbbcbcbbbbabbbcbbbbbbbcbbbbcbcbbbbcbbbccbbcbbbbcbcbbbbccbbcbbbbcbacbbbcbbbbcccccbcbbcbbaccbbccbbccbccbbcbbcbbbbccbcbbbccbbbbbbbccbbcbbbbbbcbabbbcbbbcbbcbcbbcbcccbcbcbbcbbccccbccbbbbbbbbbccbcbcaccbbbbcbbbbbbbcbbcbcbbbbbbbbcbbbbbbbbbbbbbbcbbbbacbbcbbbccbbccbccbbbbbbbbbbccbccbbcbabbbbcbbcbbbccbbcbbccccbbbcbbbabbcccbbcbbbbcbbcbbbbcccbbbbbcbcbbcbcbcbcbbacbcbbbbccabbcababbbbbccbcbbbbcbcbbbcbbbbbbbcccbbbbcbbcccccabbbbcbbcbbbbbbcbcbcbbbbacbbbbaaaccbbbbbcbccbbbbcbbbbbbbabaccbabbcbbcbbbbccbcbccbcbccbbcbcccbbccbcbbccbcbbcbbbbbbcccbbbbbbccbbbbbbbbcbbbbccbbcabcbbbcbbbbbbbbbccbbbbbcbbbbccbccbbcbbcbbbcbbbcccbbbbbbbcabcccbbbccbbbcbbcbbccbcccbbbcbcbabccbcbbbbccccacbcbbbabbcaccaccbbcbbccbbbbccbbbccabbbabacbbccbcbcbbbccbcccbbcccccbbbcbabcbccbcccbbcbbbcbbbacbbbbcbcbcbbcbbbbaabcbbaccbcbcbbbbbbbaccbbcbcbbbcbbcbcbbbbbbcccbbcbbcbccbccbccbacccabcbcbbbbbcbbbbcbaccbbccbcbbccccbcbbbbbccccccbbbbccbbbcbcccbcacccbbcccbbbbcccbcbcbccbccbcccbbccbccbbbbcccacbbbbbbcacbcbbccbccbbbcabcbcbcbbbcbbaccbbcbbbbcbbbbcbcbcaabbcbcbabaccbbbcbcbccbcbbbbbbccbcbcbbbcbcbcccbbbccbbbabbbbbbabbbbcccbbbcbbcbbbcbcccbccbbbbccbcbbccbbbccbbbcbbccbbccbcbbcccbccbabbbcccbcbcbbbbbbbbcbbbbbcbbcabbbcacbcbcbbbcbcbccbcbcbbbbccbbacbbcbcccbbbbbccbbbacccbcccbbbbbbabbcbccbbbcbbbccbbccbcbbbbbbcbcacbccbbbbbbbbcbbbbbcbabccabcbbccbbbbbbbccccccabcbcbbbbbbcacbbbbbcbbbcbccbbbcbcbbbbbbcbbbbbbcbbbcbcbbccbcbcbbcbcbbbbcbaccbcbbbbbcbbbccbbbacbcbbbccccbbcbbbbcbbbbbbbbbbcbccbccbcbbcbbcbccbccccbbcbccbcbcbbccbcccbbbcbbbbbcbbbbbcbcbcbbbbcbbbbbbbcbccbbccbcbbcbbcbbbcacbbccbbbabbcbbbbcbbbabbbccbabcbcacccaccbccbbcbbbbccbcbbbccccbbcbbcbcbbcbccbbbcbbbcbcbcaccbbbbcbcbbbbcbbccccbcbccbbbbbbccbccbbbbbcbcbbbacbcbbbbbbbabcabbbbcbabccbbcbcbcbbbccbccbbbcbbbbbbbbabcbbccbbcbbcbcccbbbcbbcbccccbbbbccbbbcbcbcbcbccbcbbccbbcccbabcbbbbbcbcbbcbbbabcbbbcabbcbbbbbbbcbbccbabccbcccbcccbbbcabbccbcacbcbbcccbbcacbbbbaccbbcbbbcbbbcbabacbcccbcbbbbbccabbcbcbbabbbbbbbbbccbbbbbbbccacbbcbcbbccccbbbbcbcbcbbcbbbbbbbbccbbccbbbabbbbbbcacbbcbbbbbbcbcacbcbcacbbcbbbccbbbcccbcccacbbcbbbcbbcbbcbabbcbbbcbbbbbcbbbccbbbcbbbbbbbbccbccbcabbbcbbbcbbcccbbbcccbbbbcbcbbbbcbbbbbbccccbbbbbabcbabbccbbbcbbcccccbbcbabbbbbbbcccbccbcbbbabbbcbcbbcbbbbcbccbcbbcccbbbbbbbbbcbacbcbccbbbbbbbbcbbbbccacbcbcbbbbccbcbabbccccabbccbbccacbbbbbbbbcbcbcbbbbcacbbbcbcbbcbbbbbbbcbbcbbcbbbbcbbcbbacbbbbbbbbbbbcbbcbbcbccbcbbbcbbbcbcbbbbbbabbbbcbbbcbbbbcbbccbbbbabcccccbbcbbbbbbbbbbbbcccccbccccbbbcbacccbbcbbbbbbbbabbbcbbcabbbbbbbbbbbccccbbbcbcbcbcccccccccbbbcbbcbccccbbbcbbcacbbbccccbbcbabcabcbccccccbbcbbbbbacbcbbbbcccbbbbbbcbbcbccbbcbbcbbcbbbbbbcbbcbbbbcbbbbbcccbbbcbbccbccbabcbbabccbcbbbccbbabcbbbbbcbccbbccccbbcbccbcbbbbcccbbbbbcbbcccbcbbabcbbbcbbbcbcccbbcbcbabbabbcbbbbcbcbbbabbcbbcbcbbcbbbccbcbcbccccbcbccbcbcbbbbbcccbcbccbccbbbbbacbcbcbccabbcbbbbbcbcccbbbbbcbbbbbbcccbcbbcbcccbbcbbbbbbbbcbbbbbbbcbcbbbccccbbbbcbbbbcccbcccccabbbbbbcbacbbccbbbcbbbbcbabbbabbbbbcbbbbccaabccbbccbbbbbbbbcbabbcccbcbccbabcbbcbcccbbcccbcbcbcbccbccbbbbcbbbbccbbcbbbbbbcbbabbbbacbbbcbccccbcbcbbbccbbbbbcccbbabbbbbbccbbcbccccbbcbbbcbcbbbbbbbbbbbbbbbcccbbbbbcbbcbbbbbabcbccbbcbbcbbcbcbccbbcbbbbcbbbbbbbbbbcbbbbcbbcbcbcbbbbbbbbbcbbcbbcccbbbbbcbbcbbbcbbbbbbcbbbcbbbbbbbcbbbbcbcbcbbbbbbbccbcccbcbcbbccbbcbbccbcccaabcbbcbcbbbbbbcbcbbbcbbbbccbbbbbbcbcbbbcbccbcbbabccbbbcbcbbbbcccbbbcbbbbcbccbbbcbcbbbbcbbbbcbbcbccbbcbbcbcbccbcbccbbbcabcbbbbbbbbccccbbbcbcbcbbbccccbbbbcbabbbbbcbbcbbbbbbcbccbabbcbcbccbbbcbcbcbccbbcbbbbbcbbcbcbbabbbabbbcbbbcbccbcbcbbccacbbbcbbbbbcbcbbcbbccbcbcbcbbcbcbbbbbbbbccbbbcbbcbbcbcbbbcabbbbbbccbbcbcbcbcbbbcbcbabcccbcbabbcccccbcbcccaccbbcccccbccbccbbbccbcccbbcabccabcbbcbbcbbbcbcbbccbbbbbabbbcbcbbbbbcbbbcbcccbbbcabbbbbccbbcbbbbbcbcccbbcbbabcbbbcbbbbbbccbbabbbcbcbbbbcbbbbbccbcbbacbbcbbbccbbbbbbbacbccccbbbbbbbbcbbbbbcbbbccbabccbbcbbcbbbbabbbcabbcbccccbcbcbacbbccbbcbcbccacbbcbbbccbcbbbcbbcbcbbcbbbbbcbcbbbbccbcbcbbcbbcbbccbbcabbabcbbcbbccbbbbcbbccbcbcabbcccbbcbcbbbccbbbbcbbbbbbbbbcbbbabbbbccabbbccbcbbbbbbcbccbbbbbcbbbabcbbbcbccbbbaccabbbbcbabbbbccbcabbcbbccbbbcbbcabbbcbbabccccbbbcbbcbbbbbcbabccbbcccbbcbbbbcbbcbbbcbbbaabbbcbccbcbcbbbbbbcbcbbbccbcbcbbbbcbcbbbcbbbbcbccbbbbacbbccbbbacbbcbbcbccbbcbcabbbbcbbcbccbbbbccbbbabbbbbbbbbcccccbcbcaacbcbccbcbbbbccbcbccbbbccbbccbcbbccbbcccbcbacbcbbbcbbbbaccbcbbcccaccbcbcbcbbbbbbacbbbccbacbcbbbbcbcbbbccbbbcbbbbabbbcbbbcbccbcbbbbcbbbcbbbbbabbbbcbbbbccbbbbcbcccbccabcbbcbcccbbbcabbbbbccabaabccbbbbbccbbccbbbbbbbbbbbcbbbcbbbbccccbbabbccbbbbbccaabbccbcbcbbababbccbbbbbbccccbbcbcbcccbcbbbccbcccbcbbbbbbbbbbbbbbbbabbbbbbbcbcbbbbcbcbcbccbcbbbcbbcbbbbccbbbbbbcbbbbbcbcbbcbccbcccbbbbcbccbcbbcbbcbcbcbbbbbbcbbbbbbbccbbcbbbbcbcbbcccbcbbbcccbbbcbcbbbbbcbbbcccccbcbcacabacbbcbbcbbcbaccbbbbbbacbcbbcbcbbbbccbbbbbbbcbabbbbcccbabbcbbcbbbbcbbbbbcbcbbbbbbbcbccbcbcbbcbccbaccbbbbcabacbbbbbbcbbbcccbcbbbbcccccbbbbbbccbbbcaaacbcbabbabbcbbcccbcbbbccbbcccaccbbbbbcbbbbbaabbbbbbbcbcbcbbbcbbccbbcbbcbbbbcbbcbbbbccbbbbbbccbbbcbbbbcbbbcbccbbbbbccbcbcbbbbbcbacbbbbcabbbbccbbcbbcbbbacccbcbccbbbcbbbccbbbcbbbcbbbbbbbbbcabcacbbbbbcbbcbccbcccbcbcaccbbbbccbacbbbbbbbbbcbbcbbbbbbcabbcbbcbcbcbccbcbbbbbbbbccbbbbbbbbbbabbbbbbbbcccbbbbccbcbbbbbbccbbbbbbccbacacbccbbcbbcacbabcbcbaabbbcbcbbccbcbbbbbccbbccbbbcbbcbbcccacabbcbbbbcbbcbcbbcbcbbbbcbbbbccbcbcbcbbbbccacbcbbbbbbccbcbbabcbcbbcbbbcbcbbbbccbccbbcbbcbbbbbbbbccbacbcbbbcbcbbccbbbbbbcbbbcbacbcbabbbbbbcccbbcbcbbbbccccbbcbbccccbcabbbbbcbcbabbbcbcbccbbbcbbbbbbbccbbbbbbbcbcbccbcbbcbbbbbbbcbbcbbbbcbbbbcbcbccbbbcbccbacbbbbbbbbacbabccbbbbbbbcbbccbbcbbcbbbbcbcbbbbbbbcbcbcbcacbcbbbbbcbcaabcbaccbccbbbbbccbbcbcbbcbccbbbccbbccabbbbbacbbccbcbbbbbbbbbcbbbcbcbbbbcbcbbaccbccbbbccbcbbccbbcbbcbcbacbbbbcccbbcbcccbccbbbcbbccbbcbbccbbbbbbabcccbbbcbbcbcbbbbacbbbbbbcacbbbccbbbbcbbbccbcbcbccbbbbbbcabbbcbccbcbbcbcbcbbbbbbcabbabbbccccbccbbbabbcbbbcbcbbcbbbcccbbcbbbbbbbbbbcbcccbbbcbcbcbccbbbbbbbbbbbbcbcbcccbbaabcccbbbbcbcbccabbcbcbbcbbbccbbcbbbcbbbbbabbbbccbbbbbbbbbbbccccbbbbbccbbcabbbbbcbcbccbbbcbabbbbccccbbbbbaccacbbbbabbabbbbabcbbccbabbccccbbbbcbbcabcbcbbcabbbbcbbcbabbbbbbcccbcbccbbcbbccbbcccbbccbbbcabccabbcccbbbcbbbcbbcbcbbcbcccbbccbcabcbbcbbcbcccabbcbcabcbbccbabccbabcbccbbcbbbbbbccccbbcbbbbccbbbbbbbbaabbccacbcbacbbbbcbbbbbbcacbbcabbbbccbbbbcbbbcbbbcbbbbcbcbaccbbbbbbbcbcbbcbcccbbbbcbccbccccbbccbcbbcbccabbbcbbcabbbbbcbcbcccbaccbbbbbbccbbccccbbcccbccbcbbcbccbbaccbbcbbbbbbbbbbbcbcbcbbcbbabacbbbbcbcbbbcbbbbbcbbccbbccabbbbbbbbccbbcbbcbccbbbcbbbbacbbcbbbbbccccbbcbcbcbccbbbbbbcccbcbcbbbcbbbbbbcbbabcbcbbccccbbbbbbaccbcbcbabbbbcbcbbbcbcbbcbbbbbbcbccbbbccacbcbbcbbbbcbcbbbbccabbcbbbbbcbbbcccbbbbcbbbcbcbcccbbbbbbbcbccbbbcabbbcbbbbbbbcbbbcbbbbbbbbbcbbcacbbbbbccbbbcccbbcbabcacbbbabbbcbbbcbccbbcbbbcbbabcbbbbbbbcbccbbccbabcbcbbbcbbbbabbbbbccaccbabcbcbbbbbbabbccbcbbabbcbbbcccbbbbbabcbccccbcbbbbbbbcbcccccbbcbbbcbbbbbcbbbcbbcbcbbbbbcabcbccbbabbcbcbcbbbcbbbccbcbbbcbbbbccbcccbcbbbbbbccbbbcbbbcbcbbbcbbbbbbbbbbcccbbbcbbcbbbbbbbbbbbbcbcbbbccbcbcbccbbbabbcbbbbccbcbccbbbbbbbbbbbbbcbbcbbcbccbbccbcaaccbbbbbcbbcbbbbbbbbbabbbbcbcbcbccbccccbbbbbbbbcbbbccbcccbbcbcbbbbbcccbccbbbcbbbacbccbbbbbbbbcbbbbbbcbabbcbbbcbccbcbcbcbbccbabbcbbbbbcbcbcbcccbbccbbbcbbbbcbcbbbccbccccbcbbcccbbbbcbccbbbcbbcabbbbbbbbcbcccbbbbccbcbbbcaccbccbbbcbbbbbbbbbcbbbbbbbbbccbcccbcbbbcbcbbcbcbccbccbbccbcaccbcccbbcbcbccbbccccccbbcbbbccbbbcbcbcbbbcbccccbcbbbbbbccbbbcbcbcbbcbcbbbccbaabbccbbbcbabbabcbcccbbbcbccbbcccbaccbcbbcabcccbbccbcccbbbbccbbbbbbbbbcbbacccbabbcbccbcbbbbcbbcbbbcbbbccbbbbbccbbbcbccbcbcccbbcbbcbbbcbbcbbcccabccbcbbcbccbbcabbbabbcbbbcbbcbbbbbbbbbcbbbbacbbbcbbbbccbccbbbbbccbcbcbbcbcbbcbccbccbccbcccbbbccbbcbbbbcbbbbcbcbccbccbbbbbbbcbbbbccbcbcbcbbccbbbbbbcbcbcbcccbbbbbcbbccbbbbbcbbbcbbcabaccbcaccbcacbcbcbcbbbccaabbccbbbbbbcccccbbccccbcbbbcbbcbbbbbbbbcbbbbbbbbcbbbcbbbbcbcbcbcbcbbccbccbbbbcbacbbbbbccbcccbbccbbbcbbbbbbcbacbbbbcbbbbccbbcbacbbbcbcbbcbbbbbbbcbbacbbbbcabbbbcbbbcbccbcbbbccbbcbcccbbcbccbcbcbcbbbcacccbbcbbccbbbccbcbabbbbcbcbabacbbcbbbbcbbbbcbcbcbccbbbbbbbbbbacbbbcbbccbcccbcbbcbccbbcbbbbbcbbcbcabbbbcbbbbbbbbcbbccbbbcacbbcbbbabbbbcbcbcbccbcbcbbbbbbcccccbcbccbbcbbbbccbcbcbbbccbbcbbbbcbcbcbbbabbbbcbbbcbacbccabbbbbbcbbbccbcccbcbccccbcbbbccbcccbcbbbcbbbbbabbbbbcbabcbcbcbcbcbbbbbcbcbbcbbccbcbbccccccbabcbcccbbcbcaabcbcbbbbcacbbacbbcccbbcbcbbbbbcccbbcbbbbcbcbccbbbbbbcbaabbbbbbbcbcbcbcbbcbbcbabbccbbcbbbbcccbcbbbbcbbcbbccbbbbcbcbbbbcccbbccbbbccbbcbbcbbbbccbccbcccbbbccbbccbcbbccbbbcbbabbabbbbbbccccbbcbccabbbcbbbcbbbbacbccbbbcccbbbcaccbbbbbaccbbbacbbbcbbbccbbbbbccbbccbbbbbbcccbbcbbcbcbbbbbcbbbbbcccccbccbbbbcbbbcbbbbcbcbbabbccbbbbabbcbbbbbbbcbccabbccbbccbbbbcbbbccbbbccbcbbcbbcbcbbcbcbccbbbbbbbbbbbbbcaccbabbcbbcbbbbbcbbbbcbbbbbbbbccbbcbccbbbbcccbbbcbbcbbbbcacbbcbbcbccbcbbbcbbcbbbcbcbbbcbcbcbbbcbcacbbbbcbbbbcbbcbcbccbbcbcbbbbbcbcbcbbbcccbbabbccbbbcbaccccbbbccbbbcbbbcbcbbcbbbbbabbbbcbbbbcbbbcbbbbbbbbcbbbcccabcbcbbbbbbbbbbccbcbcbabcbbbcbbbbcbbbccbcbbccbbbcbbbbccbccbcbbcbbbbbbbcccbcbbcabcccbbbbbbcbccbbbbcccbbbcccbbaccbcbcbbcccbbcbbccbccbcabccbccbcbbbcbcbabbcccbbbccbbbbbcbbbcccabbbbccccbbbbbcccccbbbbbcbbcbbbbcbccbbbccbbcbbbbccbbbbcbcbbbbcbcbcbcbbbbbbbccbccbbabbbacccbbcbcbbbcbcbbbbcbbbbbbbbcbcbbbcccbbbcbbbbbccabcbcbcbbbbbbcccbccbbbbcbbccbbbbbcbbbbbbbbcacbbbbbcbbcbcccbbcbbbcccccccbcbbccbbcbbbbbbccbbbcbbbbcbbbccbacbccacbbbcbbabcbbccbbbbbcbbcbcbbcbbbbcccabbccbcabbbbbbbbcbbcbccbccbbbbcbcbcbcbaccbbbabcbcabbccbabbbbabccabbcbcbcbbbcabbcbbbbcccbcbbbcbbcbcbbbabcbbbbcbccbbbcbbccbcbbbbbccccbbcbbcbbbbcacbabcaabcbcccbcbbcbbcbccbccbababcbbcccbcbcccccccccbcbbbcbbbccbbbcbbbbbbbbbbbbbbbbbcbbbccbbcabbbbccbcbbbcbbccbbbcabcbccbbbbbbbbabcbbbbbbbcbbbbbbbcbabbbbbbcbccccbabbbbcbbcbcbbbbbcbcccbbccbbbbbbbbcbbbbbbbbbbccbbbccacbbbbbbccbcbbcbcbcbcbacbcbbbccbbcbbbccbbcbccccbbbbbcbcbbcbbbbbbcbcbbbcbbbbbcbcbbbbbbbccbcbbbbbbcccbbbbbbbcbcbabbbbbbcccbbbbcccbbbccbcbbbcbbcccbccbccbcbbbacabbcbccbbccbbbcbbbbbccbbcabbcbbccbbbcbbbbcbbcbbbbbccbcccbbcccbbbcccbbccbccbcbccbbcbabbccbcbcbbbcbbbbccccbcbcbcbcbbbbbcbbbbbbbcbbccccbbbbbbccbbbcbbbbcbccbbbbcbbabcbbababbccbbbbccbbccbcccbbbccbbccbbcbbbbbbbcccbbccbbbbcbbbbcabccbbcbcbcbabbcbcbaccbccbcabcccbbcbcbbcbccbbcbbcbbbbccabbcccbccbbbbcccbbbcbcbbbbbbccbbbccbbabbcabbbcccbccbbcbbcbbcabcbcabcbbbbcbcccbbcbcbbbbccccbbbbbcbbccbbcacbcbbbcbbbbbcbcbcbccbbcbccccccbcbcbcbcccbcbcbbbcbcbacccccccbcbbcbccbcacabbcbcccbbabccbbbccbbbbcbbbcbcbbbbcccbbbbbbbcbbbcbbbcbbcbbcbcbcbcacbbcbcbbcbbbbbbacbbccbcbbcbbccacbcbbcbcbbbabbccccabcbbcccbbbcccbbcabbbcbccccbbcbbbbbcabbbbccbbbbbbbbccccbcccccbccbcbbbcbbbbbbcbbaccbbccbbbbabaccbbbcbcccbcbbcbbccbbcbcbcbbcbcbbcbcbabbbcbcbbbcaacbcbbcbbbbbbbbccbccbcbbcabccbbbcbcbbcccbbbbbbbbbbbcbcbbbabbbcbcbcbbccbbbbbbbccccbbabbabbbcbbcbbcbccbccbbcbbbbcbcbbbbbcbbbbbbbbbcabcbcbcbbbccccbabbbcccbcccbcbbbbbcbbbbbbbccbaccbbbbbbcbbbacbbbbbbbcabcbbbbbcbccbbcbbbabccbbbbbbbbbcbcbbbbbcbbbbbbbbbcbbcccbbbbbcccacbccbcccbcbccbcbccbbbcbccbcbbccbbcbcbbcccbbbbbcbbbbcbccbabbcbcbcbbcbbccabbccbcbbbbbbbcbccbccabbbcbbbcbbcccbbbbbbbcbccbcbbbbbcbbccccbcbbbbcbcbacbcbcbbcbbbccbccacbccbcbbbbcbbcbbbabbbbbbbcbbbccbbbccbbabbbbbbccbbcbcbbcbccbbbbbbcbbabaccbbcbbbccccbcbbcbcbcbbbbbccbbcbcccbbbbbbbccbbbbcbbbbbbbabbbbbbacaccbbbcbbbbccbbcbacbabcbcbbcbabcbcbbcbbbcbbabcbbacccbbbcbbbbccbbbbbbccbbaccabbccbcbcbbbbbbbacbbccbbbcbbcbbbbcbbccccbbcbbbccbcbbcabbcbcbbcbbbcbbbbbcbbcbbccbbbbcbbbbabbcccbbbbcbcbcbccbbbcbbabbcccbbcbbbcabbbbbbcbcbbcbcbbbbbbcbbbbcbbcbbbbbccbccbbbbbbabcacbbcccbbbacccccabbbabbcccabbbbbcbacbbbbbbcbbcbccababacbbbbbcbbbbbbbcbbbbbbbccccbcbcbccbbbbbbbbbbcbbbbbccbbccbcccccbccbabbbbbccbbcbbccbbcbcbcbbccbbbbbbccbbcbbbbcbbbbbcbbcbacbbbcbcacbbbbbbbbbbbbcccccbbbbcccaccccbcccccbccbcbccbbbbbbbcccccbcccbbbbcccccbccbccbccbcbbcbcccaccbcccbcbbbbbbcbbbccbcbbbccbcbcabbbccccbccbbcbbcbabccbbbbbbbbbcbbcbbbbcbbcbbbacbcaccbbbcbacbcbacccccbcbbcbcbbccabbbbcbbbcbbcbbbacbbcbcbbcbcbbbcbbbbbcbbbbacbbbbcbbcbbccbbbcbcccabccbbcccbbcbbcbbbcbbbbcbbbcccbbbbcbbbbcbbbcccbbbbcbbbcbbbbbbbccbbcbbccbcbcccbcabbbbbccbcbbbbbacbbbbbcbbbcbbcbbcccbbcbcbcbccbbbbbcbcbcbbcbbbcabbbcccbbcccbbcbbcbbbbbbbbbabccabbabbaccbbbbcbabcacabbccbbaccbbcccbcbbbbbbbbcbcbbbbcbbcbbbcbbcccabbbbbbbbbbbcbbcbbbbcbbcbccbbcbbcbbbbcccbabcbbbbbbbbbabcbcbcbbbbbccbbbbbcbbbcbbbbabbbbbbbabcbbcaccabbbcbbcbcbbacbbbccccbccccbcbbbbcbccbbbbcbbbbccbbbbcccbccacbcccbbcbbbbabcbbbcbbcbaccbcabbccccbbccbcacbbcbcbbbbbcbbbbbbcababbbcbcccbbccbbbbcbbbbccbccbbbbbccabbbbbbbccccccbccbcbbacabbcccbbbcbcbbbbbbcbbcbcbbbbbbbcbbbcbcccbccbccbbccbbcbbcbbbcbbbbbbbccbbabbbcbbbbbcbbbbbcbbbbbcbccbbcbbbcbbcbbbbccbcbbbbbbbcbbbbccbcbbbabbcbcccbcbccbbbcbcbbbcbbcbcbbcbbbccbbbccbbbcbbccacccbbcbaccbbcbccccccbbcbbbbccccbbabccbbcbbcbcccbbcbbbccbcbabbbbbbbccccbbcbbcbcbbccbccccbbbbcccbcbacabbbbccacbbbccbbcbbccbbbbbcbbabbcbbbcbbbcbcbbbbcbbbbbbbbcbbbbbccbbbbcbbbbcbccbbcbbabbbcbccbbcccccbbabcccccbccbbcbbacbbcbbbbbbbcccbbbbccbbbcbcbbcbcbbccbabbacbbbabbcbbbcbcccbcbbabbbcbccbabcbbccbbbbaccbbbcbbbbcbbbcbcccbccccbbbbcbbcccbccbbbbbbccccbcbbabccccbbbcbccbbbcbcbcbacbcccbbbbccbbbbbcbcccbbbcbbbbbcbbbbbcbbbbbbbbccbbbbcbcbbbbbbccbbccbbccbbbbcbccbcacbccbbbcccbbbcbcbccbbbbbcbaccbcccbbcbccbcbabcabbcbbbbcbbbbcabcbccbbbbbbcbcbcbccccbbcbcbbbbccccbcbbbcbcbbbccccbccbcbbcbcbbcbcbcbbccbbbcacbbbbabcbccbbabbbbbbbcbbbbabaccbcccbbbccbbccbcbcbcbbbcbbbcbbcbcbbcbbbbbbbbbbcbbbbbccbabbccbcbabcbbbbcbbbbbbcbbbcbbbbcccccbbbbbbbbbbbcbbccbbcbbbbcbbcbcccbbbbbcbbccbbcbbbbbbccccacbcbbcbcbcbbbbbbbbcbbbbcabcbcbcccbbcbbbbbcbcbbbbcccccbbbbbbbbbbcbcabbcbbcbbcccccacabbbbbccbbcccbbabbacbbcccbbbbbbccbbcccbcbbcccabbbbbabbccbcacbcccbbabcbcbbbbabbcccbbbbbbbacbcbbbbbcbbbbbbbbbccbbccbbccbbbbcbbbccbbcbbbccccbcbcbabcbabbccbacbbccbcbccbbccccbccbacbcbbbbbbcbcbbbcccbccabccccbcbbbbbbbbcccbbcbbbbcbbbbccbbbcbbcbbcbbbccbcabaacbababbccbcbbcbcbbbbcbbbbbcbbcbcbbbcabbbbbbcbbbbbbbbbbbcbbccccbbbbacbbcbccccbbaccbccbbcbcbcbbbbbcbbbbbbcbbbbcbbbbcabbbbbbbbbbbbbbbbbccabbbbbccabbcbbbccbbcccbcbbcbbcbbbbcccbbcbabbbbbcccbabbcbcccbbabbcbccbccbaccbbccbbbccbbbabbcbcbbbbabcacbbcbbbbbbbbbbccbbccbbbcbcbbbbbcbcccbcbbccccbbbbcbbcbbbbbbbcabcbcbacbabbccccbccbbcbccbbbcbbbbccbccccbabbcbbbcbbcbbbbcbbbbbbbbbcacabbbbcbcbbcbbbbcbbbbcbcbbbbbcabcbcbccbbbbccccabbacbbbbbbbbccbbbbbccbcbbcbbccbcbcbbcbcbbbbbccbbccbccbbcbbbccabbbbbbcbbcbabbbbbbcbbbcbbbbbcbbbabbcbbbbbcbcbbcbccccbbcabcbbcbcbbccbabbbbbbcbbbbbcbcbbbbccbcabbbcbbbcccbbbccbbbbcbcbbbbbbbbcabbbbbbcbbbbbbbbbccbcbaaccbbbbbbbcbbccbbccbbbcbccbbabbcbcbbbcbbbbbbcbbcbcbbbccbbbbbbccbccbbbbcbcbbabbccbcbcccbbbcbcbbbaccbbbcbbbbacbcbbbccbccbbbcccccbbbbbcbbbcbabcbcbcbaccbcbcccbbcbcbcbbcbabcbbbbbcbcabbbcbbbbbcbbbbbbcccccbbcbbbbbbcbbabbcccbbbbccbcbbbcbbbbcbbcbbcbbbbbccbbbcbbcbbbbcccbbccbbbcbbbcabcccbcbbcbcbacbbccbbccbccbbcbcbcbbcbbbbbbccbbbcccabcbbcbccbcbbbbcbcbbaabbbcccccbbbabbbbbbcbbbcabbbbbcccbbbbbcccbbbbbbbbbcccbbbbbbbcbcccbcbbbbbcbbbccccbbbbbcbbbacbccbbbbcbbcbbbccbcbbbbbbbbbcccabcbcbbbbbbccbbbbbbbbcbcccbbbcbbbbcbcabbcbcbbbbccbbabbcbabcccbbccccccccbbbcbbbbbbbbbbcbbcbbbbbccbbbcbbcbbbbcbbbcbbbcabbbbaccbbcbbbcbbcbcbbcccaacbbbbcbcbbbbccbbcccbbbccbbbccbbccbbccbcbccbccbabcaccbcbbcbbbbbbbcaabbccbcbbbcbcbbbcbcbbbbbbccbbcbabbcabbbcbcbbbbccbbbccccbcbcbbcbcbcbbbbbbbabcbcbccbbbccbccbbcbccccbbbbcccbbccbbbcbbbcccccbccbbccbbbbbbbbbabbcbbcbbbbcbcbbbbbbbbcbcbcbcbbcbbccbcbccbbbccbbbbbcbccbbcccbbbbcbbbcccbabbabbbcbcabbcbbbbbbbbbbbccccbbbcacbbcbbbcbcbbccbbcbbbbbacbbbccbbbbccbcbcccbccbcbbbbbbcbbbbcbcbcccbbbccbabbbbbbcbccbbbcbccbcbccbbbbcccabbbcbbbababbbbcbbcbbbcbbabcbbcbcbbbbbbbbcbbbbbbbbbbcbcbbccbbbbbbaccbbabcbbcbbbcbbbbbbabccbbbbbabcbbbbbbabcbbabccbabbbbbccbbbbbbbbbcbccbcbbccbbcccccabbcbaabcbabbbcbbcbbbcbcbcbbbbcbbbbbbbbbcbbccbccbcbbacaccbccbcbbcbbbccbbcccccbcbbbbbabcbabcbabcbcbccbabcbbbccbccbbbbbbbbcbaccbcbcbbbbccbbbbbbbabbcbccccccbbbbbbbbbbbbcbbcccbbbccbcbbbcccbbacbbcbcbbbbbbbccbbcbbbbcbcccbbbbabbbcbcbbbbbccbbbbcbccbbcbbcbcbcccbbacbcccbbcbbbbcbcccbbbbbcbbbccccccbbbcabbbcccbbcbbbcbbbbcbbbccbccbbcbccabcbbccbcbcbbbbabbbbbbbbcbbcbbbbcbcccccbbbbbccbbbcbcbbbbbbbbcccccbbbcbbbcbbbbbcbbccbabbbcbbbbbbbcbbbbbacbcbccbbccbbbcbcbbcbcbbbbacbbcbbbbbacbbcbcbcacbbbbcbcbbbbabbccbcbbbcaccbcbbbccbccbbbccbcbcbbbcbccccbcbcbbccbbbabbbbcbbcbbccbbcabbbcbbbbccbbcbbccbbbbbbbbcbbbbbbcbcbccbccccbccbbbbbbbbbccbbcbbbbbbbcbbabcbccaccbcbbcbbbccccbbccbbbccbbbbcbbcbcbbcbbbbbbbacbbbcbcbbbcbcbbcbbbcbccbbcccccbbbbbbcbcbcbcbbcbbcbbabccccbcbcbcbcbcbbcbbbbbcbcbcbbbcbbccbcbbbbbccccbbbbabbcbcbbbcbbbbcbbbcccbbbcbcbcbcbbbbccccbbcbcbcbcbcccbcbbbbbbbcbcbbbbcbbbccbcbbbbbbbcaabbbcbbccbcbbbbbcbcbbcbccbcbbbbcccbabbbccaccbbbbbcbbbbbcbbccbbbbcbbcccbccbaccbbcbbcbcbbbbbacbbcbcbbbccccbccccbcbabbbcbbabbbbcabbcbbbccbcbcbbcccacbacbcbbcbcbbbbbcccccbbbbbbbbbbbcbccbcbbbbbccbcbbccccbbcbbcbcacbbbcbabcbbbacbbbbbbcccbcbbcccbccbbbcacbbbbbabcbcccbcabcbbcccbbbbbbcbbbbcbccabbbbccbccbbbbcbbcbcbcbbcbccbbbcbbcbbcbccccbcbbbbcbbbbbccccbbccbcbbbcbcccabbccbbbbcccbbbbcccccbababbbcbcbcbbcbbbbbcacbcbbcbccbcabcbccbbcbcbabcbbbbbcbbbabcabcbbcbbcbbabcbccccbbccbbbccbbbbcbbabbbbbcccbbbbbbcbcbcbbbcbccbcbccccbcbbccbbcbbcbbbcbbbbbcbacbcbbbbbcbabbcccccbbcbbcbbaccbcbcbcccbbbabbbbcbcbbbbbbbbbbbbbccbbccbbbcbccbbbcccbbbbcbabcbbccbbabbbbcbbccbbaccbbccbbcbbbbbbbcccbcbcbbccccbbccbbbbbbbbcbbbcabcbcbbbbbbbbbbbbcbbcbbcbbcbabbacbcbcbbabbbbccacbcbbbcbbbbccbbccabbcbccbcbbbcbcbbbbbbcbbbbbcbccbcbcbbbcbbbbbbcbcbbbcbbbbabcbcccccccccbbcbcbbbbcbcbcbccbbcbcbbbcabcbbcbbbcbbcbcbccbbbbccbbbbbccbbcccbbccbcbbbbcbbabbbcbbbcccbcbccbcbcbcbcbbccacbbccacbcbacbbbbbbabbbbbaccccbcbcbbbbbbcbbbbbbbbcbcbcbbcbbbbbcbcccbbbbabbccabcccbbbbbbcbbbbcbaccbccbbbbcbbbbbbcabbbabbccbcbbcccbcbccbccbccbbbbbbcacccbbbbbcbcabbbccbbccbbbbccbbcbbbbbccbbcbbabbcbabcccccbabbbcbbbcccbacccbcbbbbcbcbabcbbabcbbcbbbbccaccbbccbccbcabbcccccbbcccccbcbbbcbbcbcbbbccbccbbbbbbbcbbbbbbbcbbcbbcbccabacccbcbbbccbcbbcbbbbbbbbbbbbbcbcbbcbbcbbabccccbbbbbbcbcbbbbbbbbbbcbcbbbbbbcbccbbbbbbbbbbbcbbccbbaacbbbbccccbbbbbcbcbbcbbbcbcbbbbbbcbacbccbccbbbbccbbbccbbbbccbcbbbbbbcbbbaabbcbbbbbccccbabbbcabcbbbcbbccbbbcbbccbbbbbbcbbbbcabcbcbbbbbcbcbbbcbcbbaccbbbccccbbabbbbcbbbccbcbbccccacbbccbccabbbbccbcbbbccbcccbbbbbbbcbcbbccbbcbbcbbaacbbcbbcbbccbbcbbbcbcbccbbcbbccbccbbbcbcbbccbcbccbabbbcbcbbbbcbcbcbabbcbccbbcccccbbcbcbacbcbbcbbccbcbbbbcbbbbbbbbbbcbbbcbbccbcbbcccbbbcbccbbbbbcbbbcbccbcbcbccabbbbbbbccbbbbbbccabbbbbbcbbcbbbabcbbccbcbbcccccbcbbccbbbbbcbbcbbbbcbbbcbbbcbbcabbcbbccbbcbbcbbcbbcbccbcbcbcbbcbbcbccbbccbcbbcbbccbbccbcbcbcbcbbccbbbcbbcbbcbbbbacbbbbbcbabbbcbbbccbcbbbcbcccbbbbccbcbbbbccbbbcbcbabbbbcbbabcbbbcbbbbcbbcbbacbbbbcbbbbccbbbbbccbbbcbccbbccccbabccbcccbbbbbbbbbbbcccbbccccbccccbbbbbcbbbcbcbbcbcbbbbbbcbcbbbbcbbcbbbbccbbacbccbacbcbcbcbaabcbcbbbbaccbbbbbcbcbbbabcbbbbcbbcbbbbbcabccbcbbcbcbbbbbbcbbcbbbcbccacbbcbbbcbbbcbbbbbccccbabcbcbbbbbccbcbbcbbbbbbcbbbbbbbbbbccbcbbbcbbcbabbbaccbbbcbbabcbabbbcbccbcbcbbcbcccccacbbccccbcbbcccbcbaabbbcbbabbbcbbcbbcccbbbbccbbbbbbbccbbcbbccbbbcccbccbbbbcbccbaccccbbbcbcccccbccbbbbbbbbcbbbcbbcbccbcccbbcbbbbcbbbcbcbcabbacacbbbccbbcccbbccbbbcbcbbbbbaabbbcabbcbccbbbacbbcbcbbabbbbbccbccbbbcccbcccbbcbcbcbababbbbcbbbbbcbbbcbcbbbbcbbcbbbbbbcbbccbcbbbbcbcbcccccccbccbbbbbccccbccbcbbcccccccbcbbbabbbbccbbbbcbbbbcbcbcbbcbcccbbccbcbcbbbcbcccabcbbbbbccbccbbbbbccbacbbccbaccbbccbccbccbcbbabbbcbcbccbcabbcbbbbbbcbbcbbbcbbbbbbbbccbcbbcbcccccbbbbccbabcacabccccbbccbbbbbcbbcccbcbcccbbbababbbbbcbbbcbbbbccbbbcabccbbbccbbcbbabbbcbbbbccbbbbcbbbbbcbcbcbacbbbcbcabcbbbccbbcbabccbcbbbbbacbbcccabcbcccbbbbcbbbccbccbcbccbcbcbbccccbcbbacbbbbbbbbbbcccbbccbbccbbcccabbcbbbbbbbbbbccbccbacbcbbbcbbbbbbbbbbbcbbbcbbcbbbbcbcbacbccbcbbbcbbbcbccbbbbccbbcbbbbbbbcbccbbbbbccbbabbbbcbbbcbcbbbbbcbbbbbccbbbcbbccacbbabcbbbbbbcbbbbbcccbbbbbbbbbbbbcbcccacbbbcbcccbcbbbbbcbbbcbcbbcbccbbcbbbbababbbbbcbbbbbbcabbccbbccbbbbbcbcbbbbbbbcbcbcbbbbbcbbbbcbbbccbbbbbcbbbbbbbbbccbbbcbcbbcbbcbcbabbbbbcacbcacbbbbccccbccbaccbccbcaccbccccbcbbbcbccbbbcbccbbbbbccbcbcbbbcbcbbccbbcbbccabbccbcbcbbbabbcbbbcbbcbcbccbbbbbcbcbbbcbccbbbbcbbbcccccbccabcbbbabbccbbcbbcbbbbbbccccbbacccacbbcbcbbbcabbbbcacbbbbacbbcbbbbccbcbcbcbbccbbbbbbbbbcbcbbbbbbccbbcccccbbbcbbbbbbbcccccbbbcbcbccbcbbcbbcbcbcbcbbcbbbccbcbbbbcbbcbbbbbbbbabcbcbbbbbcbabbcbbbbbccbbbcabbbbcbbbbcccbcaccbbabcaacbcbbbccbbbbbbbbcbbbcccbcbbccbbcacccbccbccbcbbccbccbabcbbbbbbbbbbcccbbcbbcbbbbcbbbbcbbbcccccbbcccccccbbbabbbbabbcbbcacbbbbccbbbcbcbccbccbcbbbbbbbbbbbabbbcbcbbbcbcbcbcbacbbcccbbcbbccbbcbbcccbbbcccbbccbbbbbbbccbbcacccacbcbbbccbcbbbbbbbbbbbcbbcbbbccbccbcbbcbbbbcbbcbababcbbbbbbcbcbbccccbbcbbbbbbcbbcbbcbbcbbbbcccbbbbcbbbccbccbcbbccbbbbbbcbcbbccbabbbcbbbbccbcbcbcabbbbcbbcbbbbccbbbbbccbcbbcccbbccbbcbbbbbccabbccbcbccbcbbcbbbbbccbbbbbbbbacbcbbcbcbccbbbbcbbbbcbcbbbcbcccbbbbbbcbbccccbcbbbbcbbbccacbbbbcbbbbbcbbbcccbabccbcbbcbcbcbbcbcabbbbbcccbbbbccbcbcbcbabccbbbcbbbabbbccbbaccbbbbcbbbbcbcbcbabbbbcbcccccbcbbcccbbbbbbbcbccbaccbcbccbbbbbbcbbabbacbbbbbcbccbbbbccccabbccccbcbbbabbbbcccbbacbcbbaccbbacbccbbbbcbbbbcbbcbbccbbcbbbccbbbcbccccabbbcbbbccbbbcbbaccbbbbbcbcbbbbbbbbbbbcabbbcbbcbcabacbccbbcbbbccbbcbbcbbbccbccbbbbcbcbcbbcbccbccbbcbbbcbbcbcbbbccbcbbbbaccbbcbcbccbcbbbcbbcbbcccabcbbbbcbcbccccbbbbbbcbccbcccccbbbcbcbccbbbbcbcbbcbcbcccbbbcbbbcbbcbbbbcbbbbbabbbbbbccbbbbbbcbbcbbbbbcccbbccbcccbccbabbcbbbbcbccccbcbaccbcbccbbbbbcbbbbabbcccbbcbbccbbbbbbbbbbbbcbbcbbbbbbbbcbbbbbccbbccbcbbbbcbabbbcbbbcbbbbccbccbcbbbbbbbbcbccbbbbbbbbcccbccabbbbbaabcabcbbcbccbbcccbbbccbccabcbcbbccbabcacbbbbcbccbcbbbcbbbbabcbcbabbbcbcbcbbbbbbccbbbbbbccbbbbcbcbbbbbbcbcbbbcbbbccbbbbcbbbccbcbcbcbbbbbbcbbbbbbbabcbbbbbbbcbccbbbbbbabbcccbccbbbbcbbbbcbbcbbbcbbbbccccbbbcbbbbbcabbbcabccbbbccbbbbbcccbbabccbbbbcbccccbbbcbbccbbbcbcccbbcbabbbcbcbccabbacbabbbbbbbcbcbbbbcbcccbbcbcbbbbbccccbbbbbbbbbbaccbccbbbbbaababbbabbbbccbbbccbbbbbcccbbbbbcbbbbbccbbcbbbcbbabbbccccaabbcbcccbbbccbcbbccbcbbcbcbcbcbbbcbbbbcbbccacbbcbcbbcbcbbcbcbcbcbbbbbccbbbcbcabcbbbbbbcbbbbcbbcccbccbcbbbcbbbccbccbbbccbcaccbbbbcbcbaccbcbcbccbbcbcbbbcbcbbbbbbccbbbcbbbcbbbcbbcccbcbbbcbbbbcabbbbbccbbbbbcbacbbbbbbbbbbbbbbccbcbbbcccbbbbbbbbbccbbccbbcbbccccbcbbbcbbbbbbcbbccbbcbcccbbbbbabcbbccbccbbccabbbbbbbbbbabbbcbccbbbbbcbbbbbabbbcbcbcbbcbcbbbbbbcbcccccccccabbbbbcbbbcbcabcbbbcbbbbcbbbccccbcbbcbbbcbcbcccbcacbbabbbbbbbbbcbbbccbccbbcbcbcbcbbbbccbccbbcbbbbbbbbcbccbbcbcbbbbbbcbccccbbbbcbcbaabbbbbbbbbbcbcbccbbbbbbcbbbbbbcbbbccbcbbccbabbcbbcbbbccbbbcccbbabcccbccbbbbbbbbbbccbbbbcbcccacbbcbccbccbccbcaccccabbcbbccccbbbcbbbccbcbcbbcbcbcbcbccbbcbbbbbbbbbcbcbcabbbbbbcbcccbcbcbcbcabcbccbbbbccccbcccbbccbbbbbcbbabbbabbcccbbbccbccbcbbcacbbbbbbbbcbcacbbbbccbcbbccccccbcbbbbcbbbbbbcbbcbcbcbcccccbcccbbbbcbbbbbcbbccbcbcccbbbbbbbcbcbcbcbcaccbcccbbbbbbbbbbcbcabbcbcccbbbbbcbbbbcbbbbbcccbbcbcacbacbbcbbbcbbbbbcbbbbbbbbbbbbbccbcbcbcbbbbcbcbbbbbcbbbbcbbbbccbbbcbcbaccbbbbbbbcbbbbcbccbbbccccbbbbbbcbcbbbbcbcbcbccbbbbbbbcbcccbbbbcbcbbbcbabbbbcbbbcbbcacbbcccbbbbccbcabbbbbbbbcbcbbbbbbacccbbbbccbbcbbbbbabbcbbbbccbccbccbbbbbbccbbbbccccbbcbcbbcababccbccbccccbccbbcbcbcccccbacbbacbbbcbbbcccbbbbbbcbbbbccbcbccbbcabbccbbbcbcbbbcbcbbcbbbbbccbbbbcbbcbbbbccbbcbbbcccbacbbbbbcbbccacbbabcbbbcbbccbbcbcbccccacbccccbccbcbcbcbcabbcbaabcabbccbcbbbbbbbbcbbcbbcacbbcbabbcbcbcaccbcbbbbcccabbcbbcbcbcbbcbbcbcbbbbbbbbbbbbbbcbbbbcbcbcbccbbbcbcbbbabcbcbcbabbbbbbcccbbcbbbcbbaabcbcbcbbcbbbcbabccccbcbbccacbccbccbabcccccbbbbbccbbbbcbccbbbbbbbbbbbacbcbcccbcbbaccbbbccbcbbbbbcbcbbccbbbaccabcbbcbcccabcccbbccccbbcbbbabbbcccbbbbbbbcbccbcbcbbcbcbbbccbbcbbabbccbbbbbbbbbbbbbccbccbbbccbccbbccbbcbcbbbcbacbbcccacbbbcbbcabbbcbbcbcbbbbbbbcbbbbbabbcbbbcbbbbbbbbbbbbabccbcabbccbbbbbbbbcbcbacabbcbbbacbccbbbcbbaabbbbbbbbcbcbcbcacbcbbbbccbbbbcccbbcbcacbbbbbcbbcbcccbbccbbbbbbbbbccccbbbcbbbccbbbcbbcccbbbbbccbaccbbcbbcbbbbbbbbbcbbbbcbbbbbbbcabcbbbbbbcaccbcbbbcbbbbcabbbbcbcbbbbbbbcbcbbbcbbbbbccbbbbcbbbcccbcbbbcacbbbcbbbacbbbcbbcbbbcccbbbbbcbbcbccbcbccbcbccccbbbcabbbbcbbbbbbccbbbcbcbbbccbbbbbbbbbbbbacbccbbbbbbccbbbccbbbcbcbbbbbbbcbbbbbbcbbbbcbcbbcabbbcccbbcbbbbbbbbbcbccbbbbbccccacbbccbbbbbbbcbcbbbcbbccbbbacccbcbbbcbabbbbabccbcbcbbcbcbbbcccbccbcbbbbbcbcbbbbbbbbbbcbcbbbbbcbbbbcbbbbcbbbcbbcbccbbcbcbccbbcbbbbaccbacccbcccbbbbbccccbababcbbbbbbbcbbcbbccccbbbcbbbbbbbccacacccbbcbbbbcbbccbbbbbbbaccbcbabbccccbacbbccbbbacbbbcbbbcccbbbbbbbccccbbcbbcbcccbbccbbbcacccbbbbbbcbbbbcbccbbccbbbbabbbbbcbcbcbbcbcccbcccbbcabbbcbcbbccbcbbbbbbbbcbbbbccbcbcbbcbcbbbcbbbcbcbbbbccbbacbcbbccbabcbbccbbabbbbbbbbbbbbbcbbbbbcaccbbbbbbcbacbbbbbccbcbbbcbbbcbabcbcbcbccbbcbcbbbcbbcbccbbcbbbccccbcabccbbbbabcbcbccccbcccbbcbbcbbcbacbbbbccbcbbbbbbbcbcbbbbcbbbcbbcbbbbcbcbbcbbccbbcbcbbbcabcbbbcbbbbbbcccbbccbbcbbbbbbbcbccabccabcbbbbbbbbbcbcbcbccbbbcbbbbbbbcbbcbbbbbbbbbbaccbcbbbcbcbbcccbbbbcacbbcbbbbcaccbbbccaabbbbbbbbbccbbbbbcbbccbbcbbbcccbbbbbbbcbbbcccbbbbbccbcbbbcbccbbcbcccbcbcbbcbcccbbbbccbbbbcbabbccccacbbcbbbcbbabcccbcbcbbbbbbcbbbbbbcbbcbccbbacccccbbbbbbaccccbbbcbbabbcbbbbabbcccbbbccbbccbbcabbbbcbbbcccbbbcbbbbcbcbbccbbbbcbbccbcbbbbcbbbcbbccbabbbbaccccbbbbbbbbcbbbccbcccbbbbcccbccbbcbcbbcbbcbbbbbbbccbccbcbbccbcccccccbcabcbccbcbbbcbccbbacbcbbbbcbbccbbbbbcbccbbcbbcbbcbbcbbbbbbbcbbbcbbbccbcbbbccabcccccbbbbcbbabbbcbccbbbbccbbbbcccbaacaabbbbcbbccccaccccbcbccbcbbbbbbcbbbcbbcbcbcccbbabbccabccbbbbbcbbbbbbcbccccbbcbbabcbcbbcbbccbbcbbccbbcbbbccbccbbbbbbcbcbcbbbccccbccbbbcccbcbabbcccbbbbcbcbcbccacbbbcabbbbbbcbbbbbbbcbcbbbbbbabcbccbcbbbccbbbbccbacbccbabbbbbcbbcbcbbaccbcccbbcbccbcccccbbcccccbcbbbabcbcbcbbcbbccccabbbcbbbcbcabcbababbbbccbbabbbbcbcbbbcbcbcbabbccbbbbbcbacccbbbccbabbbbcbbbbbccbccbbcbbccbbbbbbcbbabbbbbcbbcbabcccccbbcbbbbbbbbccbbbbbbbbbcccbcbcbcbbcbbbbcbbbbcbbbcbccbcbbbbbcbcccbbbcbccbcbbbbbcbcbccbbcbbbbbacbabbbcbcccbccbccccbbbabbcbcccbbbbbccccbbbbbccbbbcbacbbbbcbbbcbcccbcbbbcbbbabababcbbbcbccbcbbbbbccbbbcbbcbbbbccbccccbbbbbcbbbcbccbbbcbbbccccbbcbbcbbcbcbccbbccccbcbbacbbaccbbbbcabcbcbbbcbccbcbbbcbcbcbbbbbbbccacbcbcbccbbbcbbbccbbccbbbcccbbbbcccabccbcbbcabbbbbbbbbbbbbbbbbcbbbcabbbbbcbbccbbbcbbbbcbbbbbcccccbcbccacbbcbccbcccccbbbbbaccbbcccbccbccbbcacccbbbabbbbbbbbbbbbbbbcbbcbbbbbcbccccbbbbbcbcabbbccaccbbbbbcbccbbcbccbbbbbcbbbcccbbbbbbbaccbbcbccbccbbcbbbbbcbcbbbbbbbabcbbcbccbbbbbccccbbccbbbccccbbbbcbbcaccbbcbbbbccbbccbbbccbbbbcbbbaccccaccbbbcbbccbbbbcccbbbbbcbbbcbbbbbbbcbbbccacccbcbbbbcbcbbbcbccbccccbccbbabccabbbcbbbcbbbbbcbbabbbbacccbbbbbbcbccbcbbbccbbbbbacbbbccabcbcacbbbabbbcbbbbaccabccbbbbbcbbbbcbbabccbbbbbcbccbbcbbcbbbbcbbbccbccccccbcbcbcbccbcbcbccbbbbaccbcbbbcccbbcbbbcbbabcbcbbbccccbbcbbbcbccbcbbcbbccbbccccbbcacbbbbccbbbbcbbbcbccbbbccbbcbbabbbcbbccbbcbbbcbacbbccbbbcbbbaacbcbbbbbbcacbbbbcbbbbbbbbbbbbbbbbccccbbbcacbbbbbbbccbbbbbbcabcbcbccbaabccccbbcbbbbbbccbbbbbbcbbbcbcbbcbccbcbcbcccbbccbbcbcbbbbbcbbbabbcbbcccbbbbbbbcbbcbbbbbbbbbbcbbcbbbbcccbbbbbcbccbbcbcbbbcabbcacbbccbbbbbbbbbcacbbbcccbbcccbccbacbcccbaccbccbbccbbbbbbbbbbbbbbbcbbcbcbbbcbbbbcccbcbbccbbbbbbccbbbcbbcbbcbbcbbcccbccbbcbcbbbbbbbcbbcabbcbbbbcbbbbcccccbcbcbbcbcabcbbcbbbbccbccbbbbbbcbcbbbbccbbacbabbccbcbbbbbbbbcbbcbbbcbbbccbbccbbbbcbccbbbbcbcbbbbbcbbbcbcbacbbcbbccbbcccbcbbbcbbccbccbbbbcbbbcbbbabbbbcbbcbbbabcbbbcbbaccbbbbcbbbbccbcccbbccbccbbbbcbbabbbcbccccaabbcbcbcbbbbcbabcabaabccccacbcbbbbbbcbbccbbcbcbbbbccbbbacbccbbbbbbacacbbcbcbbccbbccccbbbbcbbbbbbabcccbabccbcbcbbbcbcbcbbbbbcbbbbbbbbbcccbcbbbbcbbcbcbbbbcccbbbabcbccbccbbbbbbcbcbbbbbbccbccbbaccbbbbbcbbbbbcbabccbbbbbcbbbbccbbcbccbbbcbcbccbabbbcbcccbbcbbbccbcbbcbcbbccccbcbcbcbbbcbccbbcbcbbbbbbabbbbcbbbaabbbcbbacbbbbbbabaccbbcbcbccccccbbbbbbcbcccbcbcbcbbcbcbcbbbbccccabbbbbbcbbbbcbbbabbbbccbbbbbbbbbbbbbbbabcbcbbbbcccbbbbbbcccbbbbccbbcbbbbbcbbbbccbbbbbcbcccbbcbbbbbbcbbccacbcbcbbcbccccacbbcbbbbbcaccbbbbbcbbbcbcbbcccbbbbaccbccbbcbcbbccccbbbcbbccbccbbacbbbcbbcbabccbcccbbbcccbbbcbccbbbcbbbcbbccabbbabbbcbcbbbbbcbacbbbbbbbbacbbcbcbbcbbcbbcbbcbbbbcbcbbbccccbbbbbbccbcbbbccbbccbbbbbbccbbbccbbcccbabbbbbbcbcbcbbcbbbbccbcbbcbcbbbbbbbabbbcacbccccbccbcbbcbbbccbbbbbbbccccbcbcccbbbccccccbbbbbbccbbbbbbbbbbbacccbbbccbbcbbbbbbbbacbccbccbcbcbbccbbcbbbbbbbcbcbbbbbbbbcbcbbcbcbcbcccbbbbbbbcbbbbbabbbbbbcbbbbbcbcbcbcbbbbbbbbbcbbcbbccbccbabbccbbbbccbbbbbbbbbbbbccbbbccccbbbbcbbbbcabbbcbbcbcabccbbbcbbbbcbccbbaacbbcbcbcbcbcbacbbbbbbccbbbcbbbccabccbccbbbbbbbbbbbbccbbbcbbbbacccbbbbababcbcbbbbbcbbbbcbcbbbccbbbbbccbcbcbcbbcbbbbbbbabcbbcbbcbcbcbbbbbbcbbcbbbbbbbbccbccbbbbbbcbbacccacbbcbbbbbbbccbcbbbcbbbabbbbbbbbcbcbbcbbccbbbcbcacbbbcbbcabcbbcbbbbabccbbbcbcbbbcbbbbbcbbcbbccccbccccbbcbbbcbaccbbbbbcbbcbbbbcbcccabcbbbbbbcbbabccbbbcbcbcbcbbbbcbcbbbccbbbbcbbbbcbcbbbcacbbbbbbbbbcbccbcbbccbbbbcbcbbbbcbbbbbcbccbabbccbbbccbbbbbbccbbcbbbcbcacbccbccbbcccbaccbbbbbbbbbbbcacbcbbbccbbbcbccbbbcbcbccbcbbbbbccbbbbcbcbbcbbbbbcbcccbcbbbcbbbcbbcbbbbbbbcbbbbbbccbbbbcbbccbcbbbbbcbbcbbbcbbbccbbcbbbcbbbbbbcbbbcbbcbcbcacbbcbcbbbbcbbbbcbbbbbbccbbbbcbbbbbbacbbbccbccbccbababbbcbbccabbbbbbbbcccbbbbbbcbbbbcbcbccbabbcccbbcbacbbbcbcbcbbbbcbacbbcbbbccbbbbbcccbcbbbbbbccccbccbbbbbbcbacbbcbcbbbbcbccbbbcbbbcacbbcbccbbbbbcbcbcbccbcccbbbccccbcbbbbcbbcbbbccbbbcbbcbbbcbbbccacbbbbbbbbbcccccbbbcccbcbcbbbbabbbbcbabbcbcccccbbbbccbcbbbbbcccacbbccbbbbbbbbcbbbbccbbbbbbbbbcbbbbcbccccbccbbabbcbcbcabbccbbcbbbbcbbbbbbccbbbcbcbbbbccbccbbbcccbcbcbbbcccbccbbbabbbbccbbcbbccbbbcccbbbbbbbbbcbbcbbabbbbcbbbbbbcbcbacbccccbbabbbbbbbaabcbbcbcbbccccbaacbcbbbabbccbbcccbbbbbccbbbccabbbccbbbccbbccbbbabcbcbcccbcccccccbbbbbcbbccbccbcbbbbbbbbbccbcabbbbcabbcbcbcbbcbbcbbbccccbbbbcabbcccbccbbbbcbcbbbbccbcbccbbbccbbbbbcbbacbcbbbbcbabbccbbbbaccbbcbcbacbbbcbcabbcbcbbabbbbbcbabbcccbcbcbbaccbcccbbcccbbbbccbbccccbbbbbababcbbbabbbcbcbbbbbbbbbcccbcbbbbacccbbbbbbbcbcbbcbbbcbbcbcbbbcacccbbcccbccbbcbbbbccccccbbbccbccbcbccbbcabcbbccbbbbccbbcbcbbcbbcccbcbbbbbcbbbcbbcbbbbbbcbbcbcbacbccbbbbbabcbcacbcbcccbbbbbbcbbbbbbbbcbbbcccbbbbccbbbccbbbbccbcbbbbbbbcbbbbbbbbbcccbcbbbbbbbbbbcbbccccccbabcccbcccccbabbbbbbbcbcbbcbcbbbcbbbbcbcbbcbbcbacbabcbbbbcccbcbbbbcccccbbccbbbbbbcbccbbccabcabbbbbbbbbbbbcbcbcccbcbbbbbbbcccbbcbccbcbccbbbbbbbbbcbbcbcbbbbcccccbbbbccbbbbbbbbbbcbbbbabcbccbcbcbbbbbbbbbbbacccccbbbbbcccbbabbbbcbcccbbcbaacbbbbcbccbcaccababcbbbbcbbbcbabbcbccbccccbcbcbbbbccbbbbbbbbcbbbcacbcbbbbbbcbcccbbccccbbbbccbcbcbbcbbbcbbbccbbabbbbcccabbbcccbbcbcbbcbbbbccbccbbbbcbcbbcbcccccbbcbbbcbcbbbcbbcbbbbbbcacccbbbcabbcbccbcccbbbbbcbcbbcbbbbbbbbbcbbbbbcbbbcbcbbbbacbbcbcabbbbbbccbcccbbcbcbcbbbbcbbbbbbacccbcbcbbcbbcbcbbccbbbbbcbccccbbbbbcbcbbcbbbbacbbcbacbcbbcabbacccabbcbcbbbbbbccbbbcbbcbbcbbcbcbbaabbbccbbcccbbcccbbcbbbbbbcbccbbbbbbcbcbacbbbcbbbbbbcbbbbbabccabbbbccbbbbcbbcbcbccbbccbbbbbcbbcbbacbcbbabbbbcccbbcbcbbbcbbbbbccccccbbccbcbcccabbbccbbbbcbbbbbbbccbbbbcccbbbbccbccccbccbbbccabcbcbbcaccbbcbbcacabbccbccabcbcbcbbbbbbbbbbcbbbcbbbabbbbcbbcbcabcbbccbbbcccbcbbbcbbbacccbbbbbabbcbbcabcbbbbbbbcbbbccbbbccccbbcbccbbcbcbccbbbcccacbbbcbcacccccbcbbbabbbbbbcbbccbbbcabbcabbabbbccbbcaccccbccccbbcbbbcbcccbbccbacccbbbbbbbbbbccbcbbcccbccbbbbcbbbccbcccbccbbcbbbbbbbbbbbbcbacbbbbcbbbccbbccccbccbbbbbcccbabcbbbcbbbbbbbcbbbcbbbcbccbbcbbcbcbbcbcbccbbccbbccbbbbbbbcbbbcabbabcababbcbcbbcccbbbbbcbcbbabbbbbabbbbcbcbbcbbbbbbcbbbbbbbbabcbbbbbbbbbcbcacccbbbbbbbbbbcbbccbcbbbcabbcbbbccbabcbabbbbbbbbcbbcccbacabcbcbbccbcbccbbbbacbbccccababbcbbcbcbccbbbbbbbcabbabcccbbcbbabbcbbcbcbbbcbbbbcbabccbbbccaacbcbccbcbcbcbbcbccbbbbcbbbbbbcbbbbcbcbcbccbbbbcbcbcbcbbbcbcbcbbbcbacbbbbbcbbbbbbbcccccaabcbcbcbbbcbbcbcbbbcbcbbcbbccbbbbcbbcbccbccbbbcbbcbcbbcbbbbbbbcbbbbcacbbbcbbbbbbbcbcbbbcbbbbcbbbbbbbcaacbbbbbbcbbbbbbbbbbcbacbbbbbccbbbcbbcbcbbcbcacbbbacbbbbbbcbcccbbcccbbbcbcbbbbbcbbbbbccbbbbccbbccbbbacccbcbbbbbbbbbbbbcbbbbbccbccbccbbbcbbbbcbbabcbbcbcbcbbcbcbbbbcbbccccabbbbbbabbbcbbcccbbabbbbbbbbbbbbbbbbbbbcbbcbbbbcbbbcbbcbccbbbcbccbbcbcccbcbbbbbbbbbbccbcbcbbccbccbcbbbcbbbbccccbcbbbbcabbcababbbccbbcbcbcbcbbbcbbbbacbabcbbbbbcbbcbbbcbcbcbcbabccbbccbbbcbbbcccbbbcbbcbbbcbbbbbbbbbbbcbbcbbbbcbbbbbbabbccbbbcbbcbbbabccbbbbbabbccbbabcbcccbbbcbcccbbcbabbbcbccbbcccbbbbbcbcbbcbbbbbcccbbbbbbbbcbbbcbbccbbcbacccabccbbbbbbcbbccbccbcccccbccbbbbcbbcccccbcccbccbbcbcbcccbbbbbbbbbcbcabbcccbbacbbbccbbbcbbccbcccbbccccbcbbbcbcbcbbbbbbbccbbcbccbcbbbcbbcbcbabbcbbbbbcbbcbccbccbbbcccccccbbcbbcbbbcbbcccabbccbccbcccbcbbbcabbbbacbbccbaccbbcbbbbbbcccbabbcbbabbbcbcbbcbbbcabcbbccbbcbbbbbcbbabaccbbbbcbbbbacbbbcbbbccbcbcbccbbccbbbbbcbbcbbbccbcabbcbabbcbcbbcbbbbcbbcccbcccbccbbbcbbbcbbcbccbbbcbbbbbabbcbccbbcbbcbbbbbbabccbcbbabbcccccbcbbbccccbbcbbbcbbbccbbbabbbbcccbbbbbbbcbbbbbbbcbbbcbbcbbbcacbccbabbcbaccccbbbbccbbcccbcbacbbcbbbcccccbbcbaccbccbcbbbaacbbcbbcbbcbbccbbbbcbbbccbccbbbbbcbbbbcccbbbbbbcbbbbbcbbccbbccbbabccbbcbbccbbbbabbbccbbbccbbccbbbbbcccbbbbbbcbbccbabbbccbabbbbbcbbbbbbbcbcbbccbcbbbbcbbcabbccbbbcccbabcbbcabcbbbbbbcbbcccbbbbbcbccbbbabbbbbcbbbccbcbccbcbbbcbabbcbbbacbcccbbbbbcbcbbcbbcbbbbcbcbbbbbbcccbccbccbbcbcccbbbbcbcbcbbbbbbbacccbbbbcbbcbbbccbcccbbcbbacccbbbbbbbbccbccbbbbccbbcbbcbbbbccbccbcbbcbcccbbbbbbbbcbcbbcbbbccbbcbbccbcabccbccbcbbbbccbccbbcbbbcccccacccbbbbccbcabbacbbcbbbbbcbcbbbcbbbabcbbcbacbbbcbccbbcbcbabbcbbbccaccbbbbbcbbbccbbbcccbbccbbbcbbcbacbcbbbbcccacbcbbbbbcbcabcbbbbccccbbbccbcbccbcbcbbccbbccbcbcbbcbbcbbcbcbcbcccbcbbbacccbbccccbacbbbcbbcaabbbbccacbbabccbbcbbabbbbccbbbcccbbbbbbbaabcbcbbcabbcbbccbbcbcbbbcbbbbcbbccbbcbccccbbbbabbbcccccccbbbccabbcbbcbcbabbbccbbbbcabbcbccbbccccccbbabbbbbccccbccbbbbbccbbbccccbccbcbbbbbcbbbcccccbbbcccbcccbcbcbcbbcbbcbcbbccccbbcabccbcccccbbbbbbbbbcbccbcccbbbbcccbbbbbcbbbccbcbbbccbbbbbbbcbbbbbcbbbcbcbcbcbbcbbcbcbcbbbabacbbbbbbcccbcbbbcbbbbbabcbbbccccbbbbbbbcccccbbcbccbbcbbbbccbbbbcbbbbcabbcbbbcccbccbbbcbbcbccccbccbabbbbbbcbccacbcbcccccbcbbbccbccbbcbbbcbbccccccabacbbbcbbbcbbccbbcbcbabcbabccbccbbbcbcbbcbbbbcbccbbbabbbbcbbcbcbbcbbbbbccbcccccbbcccccbbcbcbcbbcbbbbbcccbccbbbbbcbccbbcbbabcbbcbabbbccbbbabccbbcbccbbbccacbbbbbcbcbbbbbbccbbccbbbbbcbbcbccbbacccccccbbcbcccbcbbbcbcbbbcbcbbccccccbbcccbccbcbbcbbccbcbcbccabcbbbbbbbcbbcbbbbccbbbbbccbbccababbbbcbbbcbbbcbbbbbbbbbbbbccbbabbbbbcbbbbbcbbbcbcbbbbbbbccbabbbbbbccbbbbccbcbbbccbbcbbbbcbcbbcbbbbbbcccbbcbcbbbbcbabbccbbcbcbbbbcbbbccbbbbabbbbbcbcbbcbbcbcbbbcbbbbcbaccbcabbbbbccbccbcccbbcabbbbbccaabbbbccbbbcbcbcbbbbcbcbbbbbcbcbbcccbbbccbbcbabacccbbbbbccabbcbcbcbbbcbbcbcbcbbbbbcbbccbbbacbbccbbccbcbccbbbbcbbbbbbbbbbbbcbbbccbcbbbbcbbbbcbcabbbbbbbcbbcbcbbbccbbbbbbbbcabbbbbcbcbcabbcbbcabcbbccbacbccbbbccbcbccbbbbcbccbcbcbbcbbcbbccbbbcbcbccbbbcbbccbbbbbcccccbbbbbbcbbbccbbcbccabbcbcbbbbbccbbbbcccbbcbcbbbbcbbcbbbcbbbbbbccbbcbccabccacccbcbbabccccabbbbbccbbbccccbcbbabbbbbcccbbbcbcbbbbbbabcbcbbcbbcbbbcacbbbbbbbaccbbcbbccccbcbccbbccbbbbbbcbbbbcbbbbcbbbcbbcbcbcbbbbbbbcbcbbcbbcbbcbccbbcbbbbcbbbbbbbbcbccbbccbccbcaabbbcbcbbbccbcbbbbbbbcbbbcbbbccccccbccbbcbbbbbbabbbbbbbbbbcabcbcbbcbcccbcbbbbbccbcbcbacbbbbccbcbcbbbbcbcbcccbcccccbaabcbbaabbbbbcbbbbcbbbccccccbbcbacbbcbcbcbccbbbbbbccabbbbbcccaccbcbbbcbcbcccbcbbbcbbcbcccbbcbbbbbbbbcbbbcbbcbcabccbbbbbbbbbcbbbbbccbcabbcbbcbccccccccbbbccbccbccccbbbbbbcbabbcbbbbbcbbccbcbbbacbbcbbbabbbbcbbacbbcbbcccbbbbcccbbbcbcbbbbccccbcbbbbbcbccbbbbbbbccbccbcccccbccbbbbccbbcbccbbcbbbbccbbbbbabbbbbcbbcbbccabccbcbbbbbbccccbccbbbbbbbcbcbcaccaccbccccbcbcbbcbcccabccbcccbbccbbcbbbbcbcbbbabcbbbbbcccbbcbbcccbbbccbbbbcbbabcbbcbcababbbbcbbabccacaacbcbbbbbbbbccbbcbbbbbcbbbbbcbccbbabbbcccbcbbbcbbbcbcabbcbbbcbcbbccbccbccccbbcbccbcbcbcbbcbbbbbbbcbbbbbccbcbbbabccbbcbbcbccbbbccbbcbbccccbbcbbbbbbcbabcbcbbbabbbbbbbcbcabbbcbbbcbbcccbcbccbbbbcbb