diff --git "a/2016/quals/text_editor.in" "b/2016/quals/text_editor.in"
new file mode 100644--- /dev/null
+++ "b/2016/quals/text_editor.in"
@@ -0,0 +1,46742 @@
+305
+3 3
+x
+y
+z
+2 1
+loooong
+tiny
+4 3
+fff
+fffff
+ff
+ffff
+5 3
+a
+hair
+box
+awesome
+hail
+8 6
+fox
+of
+xfox
+foo
+foxxx
+off
+foff
+foox
+300 150
+aacbbaababbcbaaccaacbcbcacaacbacaababcacbcaaaccccbcccaaacacaccababcccacabbbcbbacccacbacbcacabc
+cccabbbacabbbaababcbcbcbbccaacbbcccaacbbcbbccbaccacbccbcccbaccbbbaccaaababbaacacbbacbacbccaa
+baaccaaccabcccbbbbcacaacacbcbbbccaabacbcaabbbacccbaaccacbaaccbaccaaa
+baccbacabcbccabbbcbaaaabcccbcb
+ccacccaaaaabccaabbcbbaacacaccbbacacbcbacacbcbbcbaababcccaaabcabbcbaccbbbbaccaabaccbaacbccbaa
+cbaccacaccabbcbccbbb
+abbcaacbabcacacbaacacaccbabaaacaabacbabbaaacaccacbcaccbaacaccbbabbcacccbbbcabcaccbaabbca
+aaacbaacbbcbbcbcaacbacccbbbabbabc
+cbcacbcacabcaacacaaaaabbcbaacaaccbbabbabaabcbbcbccbcbaaaacbcacccccabcccabbbccbaccbabbaabbbaaaab
+cabccccacabcabacabcacbcaacabbcbbabbbbbacacacbbacccabbaaabcccccacabccababaabaabcc
+cbbacabaacaac
+cacbcabaccbbaaaabacbaabcabccaabccbbaccacbbabcccaacbaacbbaaccaabbccacbcab
+acaabaccbbcbaccabcbbacccbcccbcc
+bbaaccbbaacaaaaacacccabcccbcaaacbbaaabaaccbbbcbbbabbbabcbaababbabbaabaacbacbcaabcbccaaacabbbbcbcbbbacb
+bcabbbcaccacbbacbcaabcbccacbbccaaabcacbcbcacabcccbbbccccbcccaaabcbaaaccbcaaccacabbaaaccbbcacc
+cbcbccccbaccbaabaaacbaccaccaaabaccccaaacbccbbaaaabbbbcbcbcbcabaacbabbcbbbbaabaaabcababbbbcccbcccbbc
+ccacccaaaaccaccabaccbccaacbabaccacbabcbbabbacbccbbcabbbac
+ccacbcbcacbcbbaa
+bbbacaaabacccccacbbcacbabacacb
+bbcaccaaaabbcaacbcabaaccbbbabcaccccaacaabbababaacbbcbcbaacabacbcbcccbbbcbaccacaac
+bacbcbbbacabcbaaaaacbbabccaacaaabccacbccbaccbcbabbbacbbbccbbbbbbbbacbc
+baaaaaccbbacabbbcabcbbabaaac
+cbbbacbaccbabacabcabbcaabcacbbabbbababacbcccaacccbbbaaabbccabbcacccccbacbacbbcbbb
+acabbcabbcbababcabbbbccbbbcabcaaaccaaccabbacaba
+cabaaabccccababbabbbbccbaacaabacbcbbabaacaaaccbaaabcccccbccabbaabcbbacbabacbcbbcbccacabcabbbbccaabbccccaca
+bcbaabaccbacaaabcbbcccccbcccaccabaacccacbcccabcbcaccacacaacbacaaaacacbbcacaccccbacccabbabcaabaca
+abcaccaaaabbaccacaccbccbcccccaaabbaaabbaabaabcacccbbbbaccbccccaaacccb
+bbcbbaabbaacccacccbcbaccbcbbaacbcabcaccaaaabaaaaaabbbacaacccaabbcbabbcbabacacabbcbabbccbbcbaac
+ccbaacbccacabccbababbbcbbbacbcbaaccbccccbcac
+ccbbbbbcccbaabbcc
+bcaaababacbaccbaccbbaacccaccaabbcbaaacbcbaaccabbabcbacaccbcbaabacacababaaaababababaacaaaca
+baacaacbcbaabcaababaabaabcbccbbcbcabccacbbaabaccaccabccbabcbcabaccaaabbcbccabcaaaacabb
+cbbacabbcaccbbaabccccbbaabacaabbabbccbaaabcaacbcbca
+bbbbaaaacbabbaaaaabcbcbb
+aabcabccacacccaabbabcaaccbbaabbbcbacbbbbcbcaaaabacbcacbacbbcbbaabaa
+bccbacaabcbabcccabaaabaabaabbbcccaabbababcaabbcbabbb
+aaaabcbccacbaccabcaabbaccaabbbacbbcbbbaabbbcbbcbaaacabbabbbacbaccabccbcbcccaabcbaccbaccbabbaab
+cacccaaaabaaccaaabababacaabbcbbcbccacabacaaaccbabccaacbbbcaabaacbaccbbbaacbbcbbcaaacbaa
+bbcababcccabcbbccacababbbca
+abcaaabcbcabbcbbccbacccacaccccacbaccbaac
+aaccbccbabbbbccacaaabccaababcbaabbbbbacacaacbbcccaba
+cbbcabcbabbbaba
+acaacbbcccbbc
+acaaacaccbcbcabcbcbcacccccbbcbabbccccbaabcbbaacbbcabbcbcacccbacbbabbab
+baaabbabbbacbbabbbacccacbbcbaabbaacabcabbaacbccacb
+cbaabccabcccabbcabcccaacbabcaaccbacababbbbaaabbcbcbaccbacaaaabbacbbcbbcbcbb
+aabacccbacbabccbaaacabacbaacbcccaabbabcbbacbbb
+bbaacacabcabacaaaaaabacabbcccaacbcbabbbabacbaccba
+bbbccacaabacbacccc
+aababaccbbccccbacaabacacbbcaaacccbbcbbbabcbcbabacbcaaabcaabccaaccbacbacbabccbacccaaacbccabaccbbabcaababbaaba
+acbcacbaabaaababcabccbcbcbb
+cccbaacacacbbbacac
+acbacababaacbaaaccbbbcaacccacabaaacbacbbccbbbbbaaccaabcaaaacacbbbbaabcccbabbaaaacbaccacabacbabbbcaac
+bcbbcbcacabaccaaaacacaac
+aaacacaaaaaacbbbabcbacbccacbaacabbacbbcbabcccbabbccabacbacababcb
+accbcaaacbbbaababcccbbababbbcbcbbcbbbccbaccbaaccbcbcaccbbaabbbcbbbcaccacbcccbcabbcbaaacbabbbbbaaababaaac
+cbaaabbbccaaaabcaacbbaacabcaabaacabcaacbccacccbbccbccbbbbaababaccbbcbccabbaaaccbb
+abcacacbbbbcacaabacc
+bcbbcbcaacacaabcabcbbcbaaacaaabccaabacabbababbaababccabbcbbababacbbc
+aabbbbbccbacaacacbcaabcabaccccabaaaacbaacbcbcbcbbbaacaccacaaacaabccbcaabccbbbbaaa
+bbaacbcaacbcaccabcbccabbcccccabcabaabcccaaabccccacbaabbaaccababaaccbcbbccaacbcbaacaacccb
+aabbaabbbcbbcaabcccaacbc
+abcbcabbaacaaccacacbaacccaabbccabbcbcabbbcbacaaacbbbcacacacbbbcbaccccbbbbccabcbbccbcaa
+baabcbaacccbbbbbcaacaabbccaaaccabcbccc
+abbabaabaacabaccbcacacaaccabab
+cccbccbacccbbccacacaacaababbcbcbcacaaaabaccccaccacabbbac
+bbbbacbcccabbcabbcbaccbcabaaaaacbbbcabaacabcbbacabbb
+aaabacbbcbcbcabaacbccbabcbccc
+aabbaaabaabaabcbaaacacabccbcacaccaacaacacaaabbbabcabbcbacbaaccacaabacbbbbcbbbacbaaacacbc
+ccccbbcbbaabaaacbbbbabbbc
+baccbaabbbbcccbaabccaabacababacbabbbaabaabbbcabbcaaabababcbcbcccccaccbabbcbac
+abbccbcaabcabaabaaaabcbbaacaacccaa
+caccbaabaccaacabbacacbcccababccacbaccbcbababcabacccccccabaaaabbbbbcccaacacabcbacbccaacbcbbc
+bbbcbcbaccbbbcacbaabbcabccb
+aabcbacbacbcabbc
+babaccccacacccccabbacbcaccbbbbccacaaaabbbababacbaaaaabbcaaba
+aaabbbcccabcacccbccacbabaabccaaabcbacbaaacbacbbcbcbabbabbbabbbbacabcbaabaaaaacbbabb
+cbaccbcabacbacbaacccbcbccbaccccacaacbacbccbcabccbabccbaaaabbcaaacbccbccbaaaacbcbbbbcccaacacbbbcaabb
+bccbcacaccbab
+bcaccbbcabbbabbccbcccabbbcbbabbcbbbcacacbaabbcaabababbaaaa
+cacaccccbaaabcccbacbbbccaccacabccaccbbbbbcabbacbabbbbbbabcacbcaaabaabacbbabaaccabbcba
+cabbbcaabbcbbbaabccbbabacbabbbaaa
+baccbacabbccbcaccbaaccbcacbaababcaabcbabcaccabaccb
+cccbcbabaabaacbbbbcbbcbaa
+acababccbcaaccbcbabaaccacaacbcababcabcbbbbbbacbacabbbaca
+accccbabcabbcababcbaaacbcbcccccaccccacabcbaacbcacaaac
+bbabbbaaab
+aabbacbbbcbacbbabbbbcbaccbbababbcbabbaacccbcacccacccbbabccbaaabacaabaccbbaba
+acbbbbccccbbccbcaabcbbbbcbabcaaaaacabcccbaaaccbbcabacbbabbccbcbbacaaacbcbbaccbbbabccacabbbaccaaabcbcc
+ccbcaaabcbbacaabbabcccbcbcccbaccccabcacaaacaabcbabbcabcacbacacaaabcaabaaaabacbbbaabaabccccbcbbbccbbabab
+caacbabbcbcccbcccbabbcbcbbcbabccaccabcbbacaacbbcccb
+aacabccbccbcbbccbcbcacaccbccaacbcaccccacccbcbaaabcabbccabaaaabc
+acbcbbcccacbcbacabbc
+cccaccaaabaccbbbbaaccbbbccbcaacabcbbbabbbccaccbbcbcaaccbaaaaacaaabbcbbaccccaacacb
+bbcabcacccbaabaabc
+ccabbcaabbbbacbaaabaaaabbcabccaabaacbbbacbbbabaacbcacb
+ccaccacccaccacaacabcabaaaaaabbbcabccacbbacacbbabcabaacaabbbcababba
+cbaccbacbcbcbbbcabcbabcaaccabcabcccbcaaccbbbbbabcbbcbcbccaacbcbaaccbcbbcacaccbcbccabccaccaaaababbb
+bcbabbccaabcbbcacacccbabcbacbbbcbbbccbacbcacccbabcccbccbbaacbc
+acaaaabaaaababa
+bbcaabccacccbacb
+bbaaabcbacaacbbbaaabbbaaababbbcaaa
+bcabbcccabaaaabccbcaccabaccbbbcbaacabcabbccaaabbcaccbbacbbaccaaaaabccccac
+bacbcaacbaacb
+acaacaabcaacacbcacbbcaabbbcbababcbcaabbbaccbbabcbbbcc
+babbcbaaabbcbcabcacccaaaabbbbacabcbbabaaabbcbaabcbccabccbbccccaabbbcabbcccbbacaaabbcccabbcaaaaaac
+abbbcbbcaccbabacbaababbcababcccbcabacc
+accbcbacbbabccabbaabaacccbbaccbaabbabbbbcbcbacacabbbcbbccaacacbaccbbbaccacab
+aabcbcbcbbacbcc
+acaaabbcacb
+cabacbabcaabbcaacaccbacaaabcacabbcbccbabccabaaba
+cbbbbcacbabcbbbbabaccaccbcbcacaaacbab
+ababaababbcccaababcacaacabbaaaacabbbaacbbcaacbbbacbbbcbccacababcabbcccaca
+abbbcbabccbcc
+aacabacbcbacaabccaacacaabaaacaabcacacbbabbaabbcbaccbb
+bcaacaaaacccbccbcccabbcbbcbc
+cccccccbacaaabccbacccacbccbcccccca
+bbcbabaaacccbccaaccacbacaacaccacbabbbacabacbbccbaacbccccbcbcababaacbacaabcbacccbcbcbbabbcabcaacabcabbc
+baabaacbbbaccbaaaaaa
+caccacacabbcbccbcabcbcabcccaabbbaaabbbbabacaccbcbbbaababbaacbaaabbabcbcaacccbaacacbcaccbcabbccccccac
+acbccbbabbbbababcbacbcbacbccabbaaaacbabbcccacbbaabac
+bccabaacccccbaacbabcabbbabcccbaababcaacbcbb
+bbaaccbbcbbbbbbacabcbbcbacbcaaacaccbbbbcacabcabbaacccbacaaabbacbaaacacabbabacbcaacaaacabaaabcacbcbccaccbb
+acaacccbabbaabbaabba
+accbcbaaababbbcabbcaababbaacabacbccbaaacbbabcacbaacabccccaaaabc
+bbcacbbbacbcabbbbbbccbbabcbcacbaccccbcbacaccbacbcaaabccabacabbcbcaabcb
+cbbcbcbababaccaabcbabacaacbbbaccbaabbcaacbccccacbbcbcbacbccbcbbbabbabcaabbabaaabbcacbaccaaaabbaa
+bbbbaccbaaaccaca
+abcbbbaabbabcccccbccabbcbb
+baacbbbbbbcbcbbccccacbbabaccabcbcaabcaabcabbaaabbbaaccacbcabaabaacaaacbcbacabbbbb
+cccbcbcbbcbabaa
+cbaccbcbcbbcaaabccaacbabbaccaaccbcbacbaccbcbbaabccccaaaabbbbcbbcaabbbaaabcbaaaaacbbbbabbcacaacbaa
+bacaccbacbabaabaccabcaabcabcabccababacb
+aaacbaccbababbcbbabbcbabbaccabbaacbbbcbaaba
+bababbbbaccbccaaccaacbbbbaaaccbbcbabcc
+baaacccabacaaabcbaabcaabbabaabbccbcccabaccbbcabcabccccccabaaabacbcaaccbbabaacbbcbacb
+bccccaccbbaccbbcbaabcbccbacabcaaaacacbaaccbbaacbbcababacbcccabbbabbaacbbcbbacaccccbabaacb
+abbbbabbabcbcbacabccabccbaaacccacac
+aabaaabcbbabaaccaccacabccbcbcbcbbcbbacacbbcacbcabcacacccbbbcc
+cbbbacabaabbbbbabbbabbacaabacbbabcbbacabbbac
+cccaaaaabbcacabcbaccaaacababcccbccccaaccccbbcbcccacbbccabaccacc
+bbbccbbabbcbacbcaaaaacaaacacbbc
+aaaccbbaacbaaabbbacbacacbbacccccacacbaabbcbcabbacbbbbbccccbc
+baacccbacababbbcbccbbaaaccababbbaccacbcabcbcaccbaa
+bcbcababccbaaacacbacba
+accaacbacbaccabcaaabcbbbbbacbaaaaccccbbbababaccacbacabaacccabacabaacbababccbbcbacabacbabbbbcacaabbcaabbbcbacc
+bccbacacccaaabcbaacb
+caccabbcbbcacbbaabbbaccbbacacabacaccbabbcacccaacbaaacabbbc
+aabccabacbbaabcababaccababcbbbbccccbababacabacccbccaaac
+aaaabccccabccaabacbcabbbacbbbbbcbcbaaccccbababcaccbcccaccaccbcabbbaba
+aacbcbcaabcccbbbbb
+bbccaccaaabaabbabaabcabbaabacbbbaacccacbabbabccbccaaacbcabaacbabbccacbccbaaaabcabaabccacccbacabbb
+ccccaccacacbaccaabbcabbbaacbbcbacbcccacaccaabaabbacbcbaabcbc
+bbcacbbacaaaaccabbbcabbbabbcbacbbaabbccaacbcaaaabcabcbbbaacabacaabaaccbbbabcbccabaaacbbbccbbcacaccbaca
+cbaccaccacaaccbabbabbcacbcaccbacbacabacabcabbbbaaabacccbbccaa
+ccacccbcbbabbab
+aabacbcbcbbabbaabaacaaacaaccacacccbacccaabbab
+ccbccacacbcaabcbabbcccabbbbbcbbbccabcbcacacbbbcaabacaccaabcabaccbaccaca
+abbabababbacccccbabacabaaccbbccbcacabccbcaaaaabbcbcababaaaacbbcabacbacbccbaaabbbccb
+abcabababcccbabbcbbccbccabbbbabacbbbabaacaacbbbcbcbccbcabccabaacbabbbabacaabcacca
+cbaabcbacacccbbbcbcbcaaaaccbabcccbbaabcacababbabbccaaccaccaa
+bcbbabcaacccaccbcabcbbcbbbbccbbaa
+accbcbcabaaaaaaaabacaabcaabababbbbabcacccabcabaaacccacbaccacbbabccabcbbbcca
+bcbcaabbacccbbbbccbcabaacbbcacbacbbabcbbaaaaaba
+cbacabbbbcaccbbbcabbccacaccbcbb
+acaccbaaaacccbbacacbcabaaabaacacbacacbabbbcbcccbaaaacabcaacbcaabcabaabbccacbbbcaabbcaabcaaccaa
+aabcbabaaaccbabcccbbcbbbabbbabbacbbbcacbaccbcbbcaaabbaccbacccacccbcaacbacabcabcbacbcbbbcabaabbacbcbc
+aababbbabcaaacacccabaabbbcccbabcacccccccabbbbabcbccbacacbabccababcabcbbaabbaacccbccbbbc
+aacabacbcacaaaaaabcbbbabbcaccbaaaaaababaaa
+abbacaababaccabcbabcbabcbcbaacac
+abbcbcbbbbccaabbc
+ccabbcacbabaaacbbbcaabcbbcccbacbbcbccaacaacbacbabcbaacacccc
+aaacbcccacbbaccbbabbcaacaabac
+cbbaaccabbbbbcabcaaccbcbcabbcbabbcbbbbbabcbaaaaaccbccbbcbbc
+ccbbbccccccacbbaabcacabcabaabaccbccbaaaaaabaabbbaaabaaacbbcbaabacb
+cbccbabccbcbaccaabcbccacbbcabcabbbccbacbbcbcbcccbcbcccacbbaaaac
+bbccbbbaabacabccacbbcaababacaabcbbcbacbccccaabcabcbcbbacacccbbaaccacabcbacabcccccbacc
+caacaacccabaccaacbcccacbbacaaabbbacbbcccbbaacbcbaabcccbaaaaccccaabcaabbaa
+bbbbcbaabcacbaaabcbcbcbcbbcabbccc
+cbacbacbabaacaccaaccbbccababbacbcacbcabbbbcaabbaccbabbacabccbbcaacabaabbbbaabacaaabbbacccbacbbcbabccacbacaa
+abaccccbccbcacba
+bbabcbaacccbccccaccaa
+abbabccbcbccb
+bbacaaabcccaccacaaaccacbababcabbacabacaccccbaacacbccbabcbbacbcccccbcbaabcaccacccbacc
+baaccaabccaaacbabacaaccacaabcbaabaaabcabbaaaaccbbccaccbaacaabbabccaaabaabbabcccbbabccacabbacbaabccbacabca
+cbbaabaabacabccbcaaccaabbaaabacabbbacaccacabaccaabcabbbbccabaabbbabbabbacaaabbbabbabbcabcaabacbbccabbbcbbabc
+bccababaabababacccbbbcbccacabbaaacacccabbcbaabbaabbacbbacaacbbbbbacbabbab
+aacbabaacbabaccccbac
+acaaabcabbbaaabcbbcacaabaccbbcaacaabcacacabbbbcbcaaccbbccaaccbcbbcacc
+acbccaaabbbacccbacaaabababccabcbcabcbcabaabbbacaccbabcbabbccccbcacbaabcbccbbaababbc
+baaccabacaabaacccbbabacacbbbcacacacbcbabbaaacbccbbcbbbbbbbcbcaacbbaaccaaaabcaccacbaaccbbaabcac
+aacbabbbbbbaccbcbabbccbaacbcbbbbbcababaaacaabaccccbcaccacbbbcbcaaaaccabcccabacaccaccbcbcbaaccbcbbbbccccaabb
+bccabcccaaaaabcccccbbabbacbabbabacabbaaaaaaabcccbaabbbbbcaaabababaabaccababbbcbbaccaaccaabbccbcbbbbca
+caabcbbcaabaacbbcc
+abbbccaacbbbaabbaaccaabaabcabcbbaaaabaaacabbaccbabaaaabacacbcaaabbbabccbbccca
+bcbabccbacaabbcbbbaaaaababacbbcabacbaabbcaccccccccaababcbbacbbcaacbabcbbcbcacabbc
+baabbabaccaaabcbabbabbaaac
+cbabaacbaabcbacacacbccaaacabbacccbabbaacaacb
+cbbabaaccbbcacaccbcbacacbbabbabcaccaacbcbbababcbbaccccabaccababbccb
+aaccbcaccbcbaabaccabccaacaabbbabbacbbbbaacbbbbbccbcacaacbcababaaacabaabbccbabccbccaabacaa
+accbbcbbbbbaaaaaabbbaaacbbaaccbacbabbcacbbacbbcaabcbaaacccbccbbaacbaaaacbabcbbcccccbcbcb
+baaccbcbaaabbccababbabcabcaabacbbccbcaaccaaaaabbbccbbcbcaabcaabaacbbabcacbbccccbcbaabcaacacababcccacacaac
+cabbccabaaaabcaccc
+aabcbaccbacababaaaacbacbabccbbcacababbacbabcbbbbabccbaabcaccabccb
+ccabccbaacabcaababaaccacbccbcacacacbacbacbcbacacbbbcbcaaabccacababacaaaaccabcbbabcaacbacbbbaabbaaccaaaabbac
+bcbbcabbaaacaccacaaacbcccac
+ccabacbbccc
+acabaabbcccabcabaaaccaabbccbaccaaacbbabcbbaabcabaabcaacccccbbaaaccb
+acabcbaacabacbabbcacbaccacacbbbaa
+accbcabbaacbbabbaabcccabbcbbaacbbacbabbaaccaccccabcaaaabccababcaccbacacccbbaccacaacbacbbabcccbaaaacb
+acabacbbaacaccbbbbbaaabbbbacbabcbabcbccacbaabcccbbabcbabacbbbaaabb
+bcbccaaaabaababacccbacaabacacacaacbabbabbaacaaabcaabcabaabcabbabbbcaccbabaacbab
+bababcaccbbbcbbcaabcabacbabccbbbbbcbaaabaaacc
+bccbcaacbacababaabaababbccbcccababbaaaababacbaacacbacaaccba
+ccbbaabaccbbaabbacacacacbabaaabbababa
+babcbabcacabbabbccccbabaaabacabacac
+ababbcaaccaabbcabbaccabaccaaacbacbaaccbccbcccccbcaaaccccccaabbacaaccaacab
+baabaaccbccbcccbabcacbacbcb
+abbaccccbabbcabccbbcbbbacccccbaaccacbbabcacbcbaabcccabcacbbcbbcbbaccaabcbcbbacccaaabbaacbcbaabacbbb
+caccbabcaaaabacbccbbacaccbbcabbabbaabcbaacbcabbbcbcccbcbbacbcbcbaacabbacbccbccaaabcabbcaaacbc
+bcabacbbaacabaccbabcaaaaacccbb
+bcacbcacabaccabcbbcbccbbb
+bbccccaaaacabbaaabbaacbbababcaccbbbbcbaababaaccbcbbcabbacacaabbaab
+abcacbcccababbcbabcbaabacabccbbaacccbaccacaaabbacbabbaacaccbb
+aaaccbbcbbccaacccbbaccbbbcbccaacbbacbaaccccbaab
+ccccabaccaacbbaaaaabababbcbbcbaccacbcacbcbabcbcacbcacccbccaabccbaabacccbbcbcababbaaccaaaccbacabaabba
+cacaccbcacccbcabbcbcbababaaaabcaaccc
+accccccbbacaabbcbaccbaccacbbbbaaababa
+bbbcabaacbcababbaccccccbcbbbbaabacbbcccbcacbcabbcabaabaacabbaacaacbbbcaaacccabbbbbcabcaacbaaaaaabbcabcccacac
+cacbcabaacccccccbcbbcbabaaaaccccbccabbabacaccccaccbabbabcaccbaabbabaacbbba
+abbbaaabbcabccbbbaaacacbcbcbccacbcbcccabbabaaaaaaacccabcccbabcabbcbbbcbcb
+babcbababcbaabbaaaaababcabcbcabcbac
+abaaaabccccabcbcabcabbcacaababcbccccabacbabaabbaabbabbcabaaabcaaacabcbaacbbaacbbacac
+ccbaabbcbccabcbbabcaaabcabbaabbaaabccbabbacbcbbaabacaccaaaaababcbbbabbbac
+bccbbaacbbbcbbcbaacacbbabbbabaacbacbbccabbbabccaaabacbccbacaccaacaacbbcc
+ccabbaacbbabababcaaccccababbacccbaaccbbbacccaacbacaabbabacbccbcaaaaaabaaaacccbcacccbbcaacbabaaaccbcacccbccba
+cccacbacaaaaabbaacccabaabcbbccababcbbcbabaabccaaabababcbcbaccbaccccbcbabcababcacb
+abbbcabbbabab
+bcacaaacacbbbacabbcbcabcacbbbcaaccabbcbaaccbccbcabacbcabbaabccabaacabbbbcc
+acaaaabbacaccbaccaaccccbbacccaabbcacacbbcacab
+babccbabcccaaabaabccaabcbacbcbacccccbcacbabcbbbbcbabcbabbacbacbaccbcabbcbacabccacccaccbbcccbbababbaabcbca
+ccaacacabbaacbcbacabcacbbcbcbbaaabacabcacacbbabcbbbcacacacbaacbcbabaccabbcbcabcabaa
+aaaabaaccbacabcbcbcbbbcac
+bbbbbbbbcbcbccbaccbcaacabcbabbcacacbab
+cbaaababbaababcaacaababbaabcaabbcbcbccbccacbacacbbaaacbcabbccaabaccabbbbabccacaababbcaabcbccaacaacabaa
+ccaabcbababacbbcbccbbacabbccabccabbccbacbcccaacabccabaaabcaccbbbacbcababbbabcbbbacaccc
+cacacccaaabc
+acbccaccacaccaabbccacbcbbaccaabcabaabccbaccbabbbacac
+acaccbcabccbabbbcbcaaabcbabcacacbcbacabcbbbbcbbaccbaccababccb
+bbaacacaabbaaabaabbacaaaacaaacaacccbaaabbbbcbababaccbbcccaabaabacbccbcbaccaccbaabacacbbbabcccbacccccbccabccbb
+cbcabaacabbccbabbbcbcbcbbcacbcbabcbcbbcbabaabbbacbcbbbaba
+aacccbbbccbbbaacaabcacaabaacaccaababaabaaabbbbbabbaaacccbacbabbaabcbaacababccccaaaaccbaaccbcbcbaaaabbca
+cccacaacaabbabaccaabbaabbacbaacbcacacaccbcbcbabbccabaaa
+bacbaaabbaaab
+bcbcbcbbabbbbabcabcaccbbaaaccbbacbccbaabcababccabaaacabacbcbababaaccabba
+bcbbccabbabaaaabbbaccabbabacaabcabbcacbbbcaaaccaaccbcaaccaccbccaaacbbac
+bacbcabccccabbaacbbbababbccaaacacccbccabbbcca
+ccaccbaacabccbcbccbbabcacccabaaababbbbbbcbcbcaaacbacacbaacccacbbabaabc
+aacccababacccbabaaaabacbaba
+bcacaaccbbbaababacbcacbacaabccbbbacaccbaacabbbcbabccbccacababb
+bcacbaaaacbaaaaabbbbaacbaaaaacbbbacacbcbaaabcbaccbaacbcbcbacabbacaccbccabbbbacbbaaccaababbbcccc
+caabcbaabcbaaccbbcabcbccbabaabcaacaccabaacbccabacbaacbbccacccacaacbcbabbbbcbbabaabaacbcbcbbacaa
+abaccccabaab
+aacbbbbacabcaaacbccbc
+bacacaaaacbbabaaacccbaaacccbbaccaaabacaacabccabbacbbabbbbaaba
+bbcbbccacbbcaaabccccbbbbc
+bbbcabccacabbbabccbbaabbbccccbcbabbabcbaaaaacccabccabacc
+cbbcbbabbabbbbbaabacaaabbaccbcabaacbacbccabcaabaacaccaabccbbb
+abccabaacacbbaacbccbcacccccccabacccbbccabacbababaccaccbbabacabcab
+babaabacaabacaacbcbcccbbcbaacbcbaaaabbcaaabacc
+bcbacbcccabbbccaabbbbabaaabccaabbaacbaaacbcbcabbbba
+aacbabbbccaacabcbcbccaabacbabcbcacbcbbccacbcaccabbaaacbcabcbbccccbaabacabcccaba
+cccccacaaacabccaacbbbabcbaaccbccaaaaaacccaccacaabbbccabbcccbccbbcacbcabcacabbcababcaccbabaaabbaaccaabbca
+cbbcbaabcacbaabbcbbaacacbbccbbbbabcbcbbabccccb
+aabbbccccbbcabaaabbaccbaccccbbbbbabaaccaaa
+aacccbaabcccaab
+bcaccbcabcaabaaaccbaacbaababaaaacaacbaabacaabccaacabaccabaaaacbcbaacacccbbbbbaacccbbaacbbaccaacbbb
+baaabccbcbcbaccbbcbccaccbcbbaaaababbcbc
+bccaabcccccbbbbacaaaaabcbccbcbbaccbaaaaabbacbbcbbaabcacaacbcacccaaccbaacaccbcababbbcccbbccbbbbcbccbccccbb
+bacaccbcaccaacacccacbabbcbccacbabacbbcbccaa
+bcaabcbcbcbcbbcbacbccbaa
+bbccccabbaaccb
+aabbccbbabbbbcccacabacbaab
+acbaaacabcbabacbcaabccabbbaaaccbabbacaaccbabcabaaccbcabbcbacbabcbcabcbbcaaaaabaaacababacacaabacccabcabaabb
+baababcabcbbababcbcbbaacbabacbbcbbacbabcbbccacbabacbcbaaacbbccccccccbcbacabbbca
+cbaabcacaabbcbcabcaaacbcabacaccaaccbabbcbbbaccacbccaababcbbccacabbaacbcacaaccbcbaabaaccabcabbbcaaacccbcbcbcc
+acbbabbccacabcabbbacbcaaabbbaccbcaacbbbbcaccabbbbbcabcbcbacacbbcabcaaabacbc
+bcacbbabaabcbaaabaac
+bccabcaabacbbbaaacccaacabaacac
+ccabccacbcccbabababbbcaacaabbbcccbabbacacacbcccbbcccbacbcabcbbbbcacacaccbacbabcbbcaabb
+bcbabacabbbacccbbaab
+caacacccaacabcccbcbbcbbaab
+cbbaaacbbaabbcbbbabbbcaccabbbcaaccbbcccaacbaabccbbb
+acbbcbbabccaacaabaa
+ccbcbcbcabcaccaaaaaabaccbabccaccacbccaaabccbaaa
+cccababccbcaacbabccacababcccabbccaaaacbbabaaaaaccbbbaabcababbcabaaaababbbcbabacccbcabccaaacaaacabc
+babcbaabcbcbcbacaabacacacbabaccaaacbacaaaccbbc
+bbccbccbbbcccbcaaacbcbbccaaccbcccbabccabbcc
+bbaabbbcabcaababaaccbcbcaaacaaabccabbacbbabccacacccabaccccccbbcacbaaca
+cbaccaacbaccaabaccaabbcccabbccaccaacaaaabbabbcaaccbaaccbccbbcbacaaaccbbccababacb
+300 150
+ccbbabcbcbbaabacccabbbaccbbcabcaccaacccacaaccbabaccbbbcbccbbabcbbcaccaacccabcaacbaabbcbc
+bacbbbccbbbbaacbbbbbcccccaabaabbccbcaaacaccbabccacaaababbaabaccccccacaccbbcacbcbbcabaccccccbbbbc
+bcacbcabccaccaabbc
+bbcabcaaabcccabbcbbcaacbccabccccbababcbbc
+acbcbaccbababbbccbbaacbbaabcbb
+acabbbaaaacccbcaabbbbacbbaabbacaabcaaaaacbcacbaabaccabccaaa
+abbbabcbbcb
+cccacacabababcccccabaaccabaacacbacbbbbbbcbabbabaccbabbabcbbcabbabc
+accacababbbaaabcaabcabcacccccaaaacccacbcbbcbaababbcacabba
+cabbbacabbbaababccabbcbbabaacccbbaababacbcaaccaccaacbaabaccbbbccbaaaaaabaccbccabbccacbcaacabcbaacbabccca
+bccccccbbaabaabaabccbbacaabbaccbaaaabacbabcbabbbcabbbbbacbaccbaabbbbcbcccbbcbbababcbcbbbcccba
+bcccacabbbbbcb
+bcacaaacbbcbbbbababbbbabacbbcbbaccbcabccbabacbaacbacbbacbabbcaacbacccacaabacabacabaca
+ccbbbcaacbbbaabaa
+bbcbcabbcabbbabbabaacaaaaabacbacbbaccaacacbabacaac
+cabcaccbcabbaacccaaabcccbbcbcbabcbcbaabacbcbbaaaabaaaabbccaaccaccbcabbbbbcccbbccaacababacbabccbaaaac
+bcaabaccacccccacab
+cabcaacacbcbaaaaacacbbabbaccabbbccbbaccbaaacbbababaccbcabacbbbacccbccbbabcabaabcacabacbcaa
+bcaacacbabacccacacaccaaccabbaaaacaaaacaccbbaacbcacccccbcaabaabcacabcccccbcbccaacacaccaabcacabbbccb
+bccbbccabcabbccbccccaaba
+aaaabaaabcacabcbaabbbacbccaccaacbbcaacbaabbccaacabbcacbacbaabcbabccaabcbabcabaa
+aacbacbaabaaabcacbcbbbabbccaaacabccbcacaccacbc
+bbbbbcaaaaaaccccbbcbbabccbbcabbbbcaabccbbc
+cbbcbcbacabbacaacacbaaacaccacacccbcbcabacbbaacacbaaaabbbbcabcbabbccacbacbabbabcbbbcbcacbaabcabb
+bbaabcbcaacbaabccccbbcabbaaaaacbbaccbacbccababbababababccbbaccacacaabaababccaccacbccbbcbccbacbc
+babbabbbabcbacaacacccbacacbabbaaacababaababbbbababcbabc
+acbbcaababbbbcccababcccccccaacabccacbbabbaccbacbaccaa
+cbcbbcaccbcbaacaaabcbaacaacaabaacaabbaba
+ccbacabbbccbaabcaacbacbcccaacaabbbcbcacabbccbcccabbbbaaacabc
+bbbbaccabcbcbacccbacabaabcaccbcaabccabcabbcbcaaabbaaacccacabbaaacbcaaaabcbbcbcbbbcabacbbabcbbbacacbca
+bcaccabccccccaaaaabcabbbbabcaabcacacaacbaccbbccaccbabcaaaacabcbaaaabba
+bbccccbbaabcacaabbcaaaacccbaaccacbccaababcbbcbbcbcabaabbbbbbbbb
+bcbcbaaaaccbaaabcbbbcabccaaccabbabbaacbbb
+cacbcbaacabcabcbc
+baaabbbcacbcbcabcccaaacccbcaabcbcacaababbcabbbcaaccbaacccbbabbababaaabcbaaacabc
+caabacabaacabaabbcabbccccbcacaaccac
+cbcbabacbbcccccbaabcbacbbbcbbabccbbbaabbaaacacacccbcccacccacbcccbcacabcabbacacbbbcacbbbbacbcbbcbcbbbccbabcccc
+aaccbaabbcaacabbcbcaacbbbaaccbacabbaccccbcbabcaccbcaabacacccbabcbbbccabcccacaccaaacaaabbcacccccbbbccbbccbac
+cbabcaccaabbabcbabcabbbccbbbabccabacacabacccaacacbbcbccabbcabcacbbbcbcacaacaacbaaabaacbcbbcccbacaaabbaaa
+bcabbaabaabcabbcbbbababcaababccacacaaabbbbcbcabcccbbaccaacabcabcccaaababcabccbababaaca
+bbccbbcaccaaacaabbcbbcbabcaaccbbbccabababcbabcaabaccccccbabbaccccbccaaaa
+bccccbcabaaababbcbbabbaccbaaabacaaaccbccacaaaccbbccccbcbcbbbbccccbbccabbbacaccaac
+bbcccacabaababcaacccbabcacbaaacaabccccaacbbbaacbacbabaacbccabccccaccbcabaacacbaaccccbbaacaabacbabcaaacbabccc
+aaababacbabcbcbb
+aabbcbcccabcccba
+bbbabcbaaccacacacbbacacacbccbaacaaabcaaaabbbaccaaacacaaaabcbacaacacaaabcabbc
+cbbacbbbbbbbbcacbaacabcabcbcaccbba
+bacbcabcbbcbbaaaaccccacccccbcbbabb
+cabcaaaaacababccbbcabbacbacabbaacbacbbbaacbbbaabbcbcabababacaabbbbbbabacccbacbcbabccacbaaccbaaabacabcabb
+aaccbabbccaaacccbacabbbbbcaccbaaaabccccaaccaabcbbbbaabbcc
+bcbcabababacbabcaaaaccbbcbbbacccabaaacaabcacbabbacbbbabcccaacbaaccbccbaaabbacaaccccccbccccbacbaabcc
+bcaacbcaaaaabbbaaabccc
+bcbcccbcbbcaabccbaccbabbaabcbabbbcccababbcacabacbaabacba
+babccbbcbacbbcbabcbabbccbacabcbabacacbab
+cbabbaaccabcacaacaaaaacacccccbaabbbbbaacbcacccbbccbbabaaccacbccababaaaccbbcbbabbccaabcbbbbca
+abbccabacaaabbac
+bbcabcaabbbabacbacaacc
+ccbabaaabbbabcb
+aacbababbbccaaaaaccacabb
+aaaacbaccabbcacaaccccacbacabcbaccacbcbaabbcbccccccbcbccbbbababacbacaabaccbbcaaabacaababbcaccbb
+aaaababaaccabaabacccccbbaaaccbaccabcbccbcccbcaccbbbaaabbbccbccbcabaabbaabacbcabcaabacbbccaa
+bccbccababacbbccbbacbaacbcaaaaaccbca
+abcbcabcbbcbcbcbaacbcbcbaaabacaaaaabbcaaaacbbccaaaaccbbbccabbbccbacbcbab
+babccbcbaccbbacbaaabacaabbabaabcccabbccaccaabc
+ccbcacccaaabbcabccaaccacbccbbbaabbbaccbccababbcbabbbccaacbcbbaabbcccacacccccbcccabababbccacccabaacaacbbbbbcb
+baacababbbbccbcabbabacababcccbcabaaacacacacbacccabbaabbacacbbaacbcaccacaaacbccaac
+caccbaacacbcbabbcccbbbbabbabbbaabaaccbbaabbcacbabccabcbcbaacbaaccbbcccccbbaacbabbc
+ccbbccaacabacccbbbcccbcbcccbcbcbabbcccaacabacbcabaccabcaabbacacacccbcaccbbbcbacabaabbbaccccbcaccacbb
+cabcbcabbaaabbbcbbbbccbbbcaabccaccaccbbaababcabcccabacab
+bcacabbbbbcbacbbaaabcaabacaccbbbaacbcacacccbcaaaaba
+bbbcabcbbbaaaaacbacbabcbbabaaaabbaacbcabaacbcccbacbcaaaa
+bcabaacaacbabbcacabbccbccaccccbbbc
+cacaacbaabcbbccbcb
+baacbbbaabbcaaacbccbaabcaccbaacbcccacacaabbbccaccaabacacaacaacbaaacaccbbcbabcbbbbacaccccabcac
+bbcbcacaccccabbccaaacabcbbacbccacbbcccbacacbaaccababcbbbcbaabca
+bbacabbaabcaaabbcac
+abcacbabccaaacbaaacbcbbbccbcccccaccbcbbabbcbabbabcbaaabcababcccaccaabcbcacacbcaaacacbcccaacabbabaacaabcca
+cbabccbbccbcbbaccbbcaaaccbbbccbcbbbacccbaacaabaccbcabccc
+baacbcaacbcbababaaacaccccbcbbcaacaaaaaabacccccbcababbcabbbaabccab
+baccbccccaa
+cbabbaabcacacbacabaaaaccbbcbbbacbbcbbbabaccbaccabccacbccacabbbacbaabbcbbbcacccbcbcaca
+cbaaabbacc
+cacacaacbcaaccccccccbcbcccaccbaaa
+cbcbcbbcabbcbcccababaaccbccacbbabcacbcbbbabb
+cbbccabaacc
+bcaacaccaccbcbbaccbacbcaaaabcbcbaaacabbcbbacbabcacabbbccccabcbaaacbabbabccacc
+aabbbbaacccaba
+cbaabccbbaaabcbcaaaccbcbcabcaabb
+cbbaaacaacabbacabbcbabcba
+bbbccaabaabbcaccaccbaaccacbcccaabcaacacbccaccbccabaccacccacbbabcbbbcaabcccabccbaabcbbaacbccabacbbcbbacaabbb
+bbcaabbcababcabccb
+bcbacacaaccccbaacacacbbbbaabcaacabccabaccccacccaccaabbccaccbaccbbcabacaaabbcccccccacab
+babbaabbaaabc
+bbbacbcaaacacabbbccacb
+aaaccaabcaabbaaaaacbbcbbccb
+cbcbcbacaabcbcaabbccbaccaabbaacbcaacbbccaacaacccabaacbbc
+babccbccbaaaaabbacbabcabbacaaabcbcabacbccaaacacaaccbaabababcabacbbcbcbcacbaabbccbbbcaabccbcccaaaaacacacbbcbcb
+accacaacacaabbbacbbacbababbcaac
+bbaacacabccacccaabbcbcccbbbbaccbbabaaaaccbaccbacaccaabbbbcccabcbbaacaabbcbabbaaabcac
+ccbcababaaabccccaacaabacaabaaaacacbcbabcccacbbbacaaacbcaba
+acaccbcabacbbacbcbaaaabbbaabcbbcaabbccbccacbccacbabcabcbccbbbaacabbc
+cbaaaabbbcbbbbacaabbabbcbbcbacabbaacacbcabacaacaabbbcbbccbaabcabababaca
+bacabcabbaacacabcaacbbcaabacaaccbacccccccaabcaabccaccabbb
+cbbbbabbcbcaaccabcaccbcaccaacaabbbbacbbcbabccacbabbbcbcacccbbbbabacabcbbbca
+ccbbbcbbbcabacaccaabbabcbccab
+caaacbacbbccaacacacacbaabcbcccbccacccbaabaababaccbacbaaccbccbaaaabbccababbcbabaca
+accacaaaababcbcabbcaaacabacabbbbabcaaaacbcbbcacbbb
+acabcccabacbaccabccacaccbbbcbcbabbbccbcbcbccaaccaabbcbbcbabbccaacaca
+bacbcaacbbcabaaaaabcbacbbaccacccbababacccaaababcabcccccabcbcacabcbbbabbabccbcaaabacbccc
+acaccaacbabccaaaabbbbaabccbabbcacaaacbbbccacabcacbacbabbccacbacaacaaababcbababbaaaacca
+aababbcaaabbacbaccbccbcccccbbabaabaaaccaabbbbbccccbbcbaabbcccbcbacabaaccacbcabbbbcabcaaabacccaaaaccbacc
+cbaabbbccccbbbaccbcaaacbaabbcbaabacbaccbccabaca
+baaabaccaccaacbaaaaabbabcacbcaccbababbccacbbacbcaaccaaccaacbcacbaccbcbcaacaaacacabbcaabcabababcbbaac
+babacbabccabbccabacbccccbacacbbccbbaccbaacbbbabaa
+acbaacabbbcaabacaccaccbaccacbcbcbbcababaabbcbbaacaccacbcbcacbabbbbbacbcacca
+abbacabcacaccbacbbbbaacabbcbacbbcbbcaaaacccbbcccbabacbcaacbbbbccbbccccbaccccaabb
+bbbcacaabcccbacaaaabbaaaacbaaccccaababbacbbaaacccabbcaaaabccbccbbcbaaaccbccacacabaccccaabcbacabbb
+acbbcacacbccacbbbaacbacbcbbcbcbaabbabacaabbbbbbcbbbaccaaaaccbbcbccaccacbcaaabbcbabcbccaaaac
+acbacabaabbbcbcabaccccacabbcaabbbcbbbbccaaacaaacacbabcacccc
+abbcabaaccbcacbbaccabacbccccaabaabaabaccabbcacbcabcacbbbaccabbccbccbbcbbccaccabcbbbacabbcbbbcaacca
+acbabaaabbbbbcbcabacccbccbaabacbcbccccccaabacbaaccbbabbcbcaaccabccbcbabacacccb
+bacccaacbabcbbcabaccbccbccbbbaacbaabbacccbcbaaccb
+acaaccbaaabcbbaabbbbbababcbbcbabbaacccaacbccabcbabccbabcbbacbabbcacbcbbaabbaabacbbabaabac
+bcbbaabbbcbbacacbaabbbabbcccabbccccbabaacacbbabbababbbcbcaaa
+cbaccccbccbcaaaacbcaccbacbacbaaabccaca
+abaaaabbbcbccbaabaaccbbabcccabbbcbbbbaaaaacbbaaccaccbcab
+bbbbababbbaacabaabaabaccbcabccaa
+caabaaacacb
+babcaaabcacbcaabaccbaacccacaacbbbacbabcccacaab
+cabcaaccbacbccabccacccbbbcaabbcaabcacbcacbcacaabbbcbacccaababacccbacccccbccb
+abbcbabbbcaabcacbaaababcccacbcaccbabac
+cccbccbbbcbcbcacbcaccaacccbacabbacbcabccbabccaccacacacc
+bacacacaacbabbbcacbbcbccabbccbcccbcabcbbac
+cbabcbbcbacacaabca
+caabbaaccbaaaaabccacaba
+abcabcbcabbbbbccccaaaacbaaacbbababcbbbaaccccbaccccbacbaaaabaabccbcbcabbbbcabbbcbacacccabccbbcbab
+babbabaabcbaacacacaaaabbccbccacacbbbabababbcbbbcbcaabccacaccabaaaaccca
+abaaccbbcacccbabcbcaacbcaabccccababaababcabcaabbccbaaacc
+bcbcbbaacbaacbbbacccabcaacaacaabbacaaccccabbcacbabbcbcabcbbacacacbaabcbbaaacaacbbbcaa
+aabcbccabbccacaacababccaabcbaacabcc
+cbcbaaaaacbcbbcaaacbaaccbbabcbccccabccaaaccbbcabcbacaccacabcbb
+cbbccbabbacabbaccbaaabcaacaaccbabbccbbacaacccbbcabcaccabaaabbbbacbbbbccaacccbbacccbaacbabacbc
+cbbcbccabacacbabaabacbaaacccaccbaabccaaaccabaaaccabcabcbaabaaaaccaaaaacacbbbbbab
+baacbcbabccca
+bbcbabccababccbaaabacacbcabcaaabbcbabccbbaabccccaacbbccaacbcbabaccacaaabcbabbcbb
+ccbcabbaacabbabbabcaaacbcbaaccbbbcaccbcbabbabbbcababbacbcaccaaaccbaabbaacaccbbcbbaa
+cbabccccbbbbbcacbbbbbbbbabccaacbabccbac
+bacbaaccbcccaaabbcabbcbcccabb
+abbccbcbbcccbbacbbbccbbaaabaaaabbccabbaccaaacaaacabbcccbaacbccaabcaacbbbbabcacccbaacabcbaa
+ababaabaccaabbcacacbbacbcbabacacaccbcbcbabccabcbabcbbabacbcabbacacbbcbabacbbaaaacbbabcccbccccbbcca
+ababcbbabac
+bbcbccbcaaccacbcbacab
+abcbacababcc
+cbaacabccbcaabbaabbaabbccbccaccaacbabbaabcaccbabacacbbacaacababaacaabaabbbcbbbbabcbabbbaaabbbbbbbbac
+bcbaccaabcbaabacbabaacabbbccbbaccccba
+caacaaababcbaccaababcccbbaccaabacc
+baabaacccabbabcacaaabcacaaabaabcbbabbbcacbcaccaccbcbbbcaa
+bcaccbabbcbabbbaaabaaaaabccccbacbbbaababbcacababbccbcbbbbbccccbbcacaacbcababbbacb
+baaccbbaacbcccbabccacbccbbbbaccbbbacbcacbbacbccccccbaacabccbbabaccabbacacbaaaa
+bbabcaacccbbacabbcbabbbbababcccbbcbccbaaacbb
+bcbcccbaccabacbcbaaaacaabcbcabaaaabbabbabccaaccbbacabbcbaccbacabaccbcac
+acbbbcacaccccbbbbacabccbacaccaabaababcbac
+aabcbbccccaacaacacaccbcccabbacbcbcaacaaacabababbacbcaaaacbbaaabccbaabbbcbccbcbcccbcacacccbccbabccbbbcbbb
+caaacbbccacbccccbaaabcbcaacaccabccbab
+bbbbcbbaccababaabbaaacbabbaaaabcacbcacabacababbaabaabcaccccbab
+bbcbbbbbbccccacbabbbcacbcbaaabbcabaabcbcacbabaababcbaaccbbabcccbacbcccbabacabcacaccabbcbaccbbaccbc
+bbbababaaaccabbacbaba
+cbaabcacababaccbccaacaabbcbccbabacacbabaaccab
+cbcccbaaaabaaacccaabca
+bccabbbccbcabcabbbabaabacabccacabcabbcabbcbccbbbaabbacbbbaacaaacbcaaabaacbbbcccbbaacbcbbcbbbbbcbcbccbaba
+caaccabacbbccbccabccccaabaaaaaabaaabcbccaabbccaccbac
+acaacbacabcabcaacbccbcaaaabccaaacbcbbccac
+abaabacbbbccccaabaabbcaabbbbaabbcacaabaaaabcbcaabcbcbbab
+baacaacccbcaaaccbcacb
+ccacbbcbaaccabaacaccbcbcbaaccccbaaacacbbbbabcaaaaaa
+bcaccbaccaccacbccbaacbb
+caccbbacbbcaabacbbbbccaaabbaabaccaabacacbabbbacaacccaccccbabacaacacbbccbcbbbabbbbbaccaaccabaaacbabbaaaccaabac
+acbcbaabcacacabcacabcacaaaccccca
+acacacccabcaabcbccbababcbaabbcbbcba
+accaaaaaaacabcbcbccaaaccbaacaaaabcbbccabbbcaccbabccabbac
+caabbccabcaaacbaccbbcabcabcbaacbbabcbbacbcaaccacabaaa
+bcbcccbcbcbbcbabbcaaabcaabbccabbabbaabccbbb
+abbcabaacccabaabaacaccbccbbbacbbababacabbaacbaabaabbabbcccabbabcccbbccbacabbbcabbcbcbccaab
+bccaccaaacbbcbcacbaababcaaaabababccbcbbabacaacbbccbccabccbccaaaabacabcaabccabaabbcaaaaccbcaaaccabcacacaca
+bcccbcacaccbaacbbbcaccbcacbabbbbbbccac
+ccbcaacbcacbbbccbcccccc
+acbbcbbacacbabcabacacacabcabbabbcccbbcbbbaaabaaccabcacbaabcbcabbbacacbacabbaaacabbbbcbcacbcabbccabacaabb
+cbabbabaaacaacbababbcbcbbc
+ababcbaaaacbacbcababccbcacaababcacccbaccacbcccbababcacabcbbbccacaacabc
+accbccbacbcabcacac
+bccbcbccccbbbcacbbccccaccbbabacacacbcaccbbccbcaacaaabbcaaccbbcbab
+baaccbbabbbababaacbcacbcbcbabaccbbabcabbbccaabbaccaccbbaaaaaabbbcabab
+bbacaaaababacbaaaaccaacbaacbaacbaaacccccbaacbcacbccabaccccaaababbabcbaccbbabacc
+aaacabbbbccbbacbbbacbaaaababcbabaabcaaacbaccccaaacccabaacacccacabbbabcaabbabccbbbbbbbcc
+cacbcaaccbacbaccccbbbabcbacaabbbbbcbbaabbcaaccaccbaacbccbabccbcaabacaabcbcacabccba
+bbbcbccbabbaccbabccbbaabaabcbbcbcaabaabcaabccacbbabaabbacaccbaaaabacbaaccc
+bbaccbbababcbabbccbacaccbcccabbbacbccbbbaaacabcaaaccabcaccbbbcaaaacaccabccacccbbcabbbcbcb
+cbbccaaccbacbcbcbbbcccabbababacacacbbcbbbbaaacbacbbbcaccbbbcbaaabaaab
+cbcaaabbccbababbbabbcbccbcabb
+cbcbcacaacbacbcacccaaaaacbaaccbcbbbcbbbbbacabc
+bcabcbcccabaaaccabaaacaabaaccccaaccabaabcaccccabcbbbccababababcabaacbbcaab
+cbbcbccccaacbabcabcaabcaabaaacabbbaabcbbccaaccbbbcbbabbcbcbccbbbaabcacacbcc
+bacbcccacaccbabaabacbacbbbbbabcbbaacccabcbcbabcacaaacccacbaacabababcccbbcbccbbaacababcccbcbcccacaaca
+cbcbaccabacccbabcccaabbaabbaccbbbbacbbacacaaabbacbabaccaacaaaaccbaaccbccccbacaaccbbbcbbabaccaaacbcb
+cccaaacbcaccbbbcbcacbbbababcbbbbaaaaab
+bacccaabbaabbbcccababbbbcbbabacacaabcacbccacabaacaacbccbc
+cacaccacaca
+cbcbccccccabacbacbbccaaaacabaccbababcaaaaaabaaabaa
+babbcbbccaaababbbababcabcabacbacccaaaaaaaabbaccaabcabbbaaccaaccaab
+aacbcbaccbaacacbcbbaaacacabaccabca
+bcacbbbaababccccaccbaac
+cbcbbbbbcbacbbbaaccbccaabbcbaabbbc
+bbbbcbbccbbaacabaccababbbbccbbcbbaacaabcaccccccbacbcaccaacbccacabaabaccabcbaccbccaaccaacbaaaacbabbbc
+caaccbbabacaabbaccbbcbaabbcaacbbbabaabb
+aacccbabaabcccbcbaabaac
+acbbccbcbaabcccbababa
+aaaababaaccbb
+ccbcaacbcbcbcbcbbbbbaabbbccbbbaabbcccbcbaabcccbacabbbbcbaacabbacbccbccaacbbbbacaacbbabbaabacbbcaaba
+abbbcbbaccc
+abcccccaaacbbcaccbbaaccbbcbabbbbbaaabbbaaaaaabaacccccaacbcbaabbbcccbbcabcccbcbcbcbacacbbbcaabaacbaacb
+cccbacbcbcbbaccabbbbcbaabcabcbacacacabaabaaaabac
+acaabbabccc
+bbccbcbbcbabcacabccbaccbabbbbaaccbcaacbaacaaaaccbacbcbbccacbcbccc
+abaaaabacccabab
+aabcccbccccccacacabcbbcabccabcabbacaccbcabaaaabbccbcabbcbacacbcbbabccaaccabcaaaacbbcbbaaabb
+ccacbbcccccbcbcabaa
+bbabbaaccacbbbcccbabcaabbbca
+acbcbcacaabaccbaaccbabccababcbbbbabcacba
+caccacabbaccaabccbbabaacabcccabcccbacabcabcaaccababacaabaaacaccbcbcbaac
+cbbabcccbcacaaccabccbaccccbabcccacccbbacbacaacabbbabb
+abaabcbabbbbccacaacabacbbbcbcbbbaaababccbabab
+acacbbccbbbbbbccaabacccccbbccacccbccabcaabcaacccabccbabccaabaabacabbbbcabcbbabbaaabbaaabaaabbccaaaaacacccaab
+ccaabaccccccbccbccaaaabcbcbcbcacbca
+cbbbbccccbbbbcbbacbcababaacaccbbccbaaacbbaccabbbacabaabbaabcccaacbbbbacbbccaccacbbcbcbaaaabb
+babbccbbcacbbccccbcbcaaaaacbbaabcbababbccbccbbcccaabbbaacacbacababaaacbabbaabcaabcabccabbbcbbacacaabbccbaba
+cabacccacbcbbacccabbcabcaacbbbaabacacbccbcbccbbacccccaabccbaccaccbccbbbaccccacc
+bacababcbc
+cbabaacabaacacababcbbacccaaccbbabcbcbbcaac
+baaaaabbcbbcbbaabbcacbcaacbcccbaacacabbabacbacaccababcccaacabcbbbbabbabbacaacaaa
+cacaaabbaccabccabcbccabbcaacbbccaacabccbabbaaabbbbabcacc
+bccbcacacbabcabbcaaacbbccacbababacbacababcaaccaccc
+abaacacababbabbacbbacccabcacbcabbaccabaaaabcaccccacababbaabbabbbbaccabacbcbcbcacbbbccabccccba
+acbabaaacccbcaacabbbaabaabcbbabaabaabaccbbccabcbccbabacacccabcbbabccbbcbbbbcbaccbbabccabccababa
+aaabcbacccbccbabcbcaccccabbabcbaabbaaccbccaaacbcbabca
+acbccbbacbaacbbbccbbaabbbcbcaacabbacacbbababcacbbacbbbbccababacbbcaaaaacacabcacbbbacbbcccbcccbaccaaaabbcbabcb
+ccbcbaaacccabcaaabbabcabbabcccbabcaccabaabaccccbbbabbbbacab
+accbaabcbcabbbbacccaccabccaabbcbbaaccbcaaccbbabcccacaaacacccbbccabbbbacbcbaabacbcaaabaaaabcbabaaaa
+bcaacccabbbabbcababcaacbbcbaacacacbacccbccaccaacbbbaccbcacbcccabcbbacaabbacacabbbbbcccbaccbb
+babbcbccbcccbaaabcbbbbbcabcaaacaaccbcabbbacbcaacccbac
+abacacbcbbbcbbccabcacbcacaccabccbcbccbbaacaababaabbcbbacbaaccbcbcbbbcbaba
+cbcbcaaabcbbabbaccabbccbababa
+caabccaaccccaaccbcbcbbacabbbacaaccacc
+ccbbbabcbaaacacbbbbcacbbcbaa
+cccbacaccbab
+ccbccaaaabcbcbcacabcbcacabacbacabbaaccacccabaccbbaabbabbcaacacaabacbcbcbccacabbbb
+caabccabacaacccacababbbbbcbbacbbaccbcccbaacaababaabcabcabaaaaaacbbacaabbbccbaacbbbcabcabbcabbcbbb
+cbcacbccaabbcabbcbcbccccbbacabaaabccabcaccaa
+bbaabaccccbcacaccbababcbcbabccccbabccb
+baabcbacbcbacccbbbaccbcbabcaabbbaaccbbbaabccaccaabaaabbabcaabcacbc
+caaaccabccabbabbbbcacaabacba
+cacbcaabacacccbbaacbcaabbacababbbccacaabbabcbabccb
+baabbbcacccccacabbcccbbaccaaacaaaca
+cabaaccbbbbbaccaacbbaac
+acbbabacabcaacbaccabccccabbabbcbbccccbabcbbabcabcbbbcaabbcccacaacccbcacaabaaaccba
+cabaacabbbbcbbccbacaab
+acabacaccabbabbbabbaacccbcbaaababbaaabcbacccc
+cbabcaabbbbbabbacabacbbabacbaabaaaccccbababcaabbacbaccccccacbcaabcbbb
+bcaccaccaccabbbcbbcbbaca
+aacacaabbbcccccacbacbbcbcabb
+caccaabccccababcacaacaacabbbbbbacaabacccaaccabcaabbacbccbac
+caaababacabaacaacccbbcccccaaccababaaaabacccaacabaacbcccabccbccbcbcabbbbabcaccbcaacbaaba
+cabcbbaababaabcbabcbababbbccaababcbaaaccaaacccccababababbcaaacccbccbaacacaabbbaca
+caacabbcacabaababcabacabbbabaabaacccbcbac
+baacacabbbcbaccaacaaaaaacacbccbcaacaaabccaaabaccaababcacc
+ccaabcbcabbaaa
+cccaccabbabbcaacbaaaaabcccabbababccabbbbbcbaabbccaccaabaccabacacccbbcbbacc
+baccbaabaabbcbacaabcbcaccacbaaababccbcbbabb
+aacaccbcccabbcccabbcbbacbcccabbcbbcccaabaabccccaabbcabacbbbbcbcaacbccccbbccacbbbcbcacbcabcba
+bcaaacbccbbaaccbcabcbabacbabbccaacaccba
+babbbbbbbacabababbcacbaaaccbbcaacbbccabbacbaaaabaacbbababccacaab
+caccbaacaccccbaca
+acbabaaaaabbabaabcaccabaccbbcacacbbca
+bbbbbbcabbcababbbabcabbcacaaaababcacccbcabcbbbbacbbacbbacbcbcabbacbaacaacaccbaaaabaacaabaccabcc
+aacccaccbcab
+caaacccaaaaccaccabccbabcaabbcbbcbbcabacbccabacabacacbaccaccabbcacbbaaaaacbbbbccbbbcbccacbbbbbcbc
+abaccaabcbbbcabb
+abcbabcaacbaaccbbbacccaabccaacccbaacbcaacaacacbcaacaabccabbcaaacccbabacab
+cbcacaababcababcbaccaaccacacccacacacacaabccaabbbbaccbcbcababaaaaabbcbcbcbbcbbabcaaaccbbacaacbcabbcaabacabc
+ccaccbbbaabbcbacabcaaaabbabcaaaccbabbaabacaaabacabbcbaabbcacba
+acababbacabcbabbbaacbbcbabbbacaaabbbbcaccaaccccccbcabccabaa
+bbbaacaacbbcabccacbcacaaaabaaaacccaacacbaabcbacbcacaccbaacabbbbabacaacbcacccbaaccabaaccbacabcbbaccbc
+aabcaaaaabaacacaaaacbaabaabcacaaaccbbbca
+cbcbaaacbacabbbaaabbaacccbbaccabbcbbaacccbaacbacabbabcacb
+babbcbcbacbaacacacbcaaaccbccacababab
+bbbbacabaabbccbabbcbccacbbbccabcbacbbbbaabcabbabbbbbcbabaacabbcabbb
+ccccbbbbacaacbcbbaabbaacabaabcaccacbcbabcaabaccccaacaccaacacca
+cbbbcbbabcabcaacbccaa
+ccbcccccccaacccaacbbbcccbabcbaaabacaccaaaacbbccbbaaabbbacbbcabbbcbbaaaccbabccbaccaaba
+caccbaababcccccbacbcccccaabcbbabacccabcaacbcbcaabccbabccbabcbbcccacccaaaacccbbcbbcaacbbbbbbbacbbabaaa
+bbaccbaccaccaacbacccbaaaabb
+300 150
+bacaccccbabcbacabacbaaaacbbcaccaccccbbacbaabcbcbcabbbbccbcccacbacbaccaaaacaccaabcaccacbaabccbbaaaccacbabb
+ccaaccbbaccacaccccbacbccacccbaaababbbbccbbbbcaaaacacac
+aabccaccaaaabcaabcbbcabcbccacaaaaabbc
+ababaaccbccbabcaabacaaaaabbcbbcccaccaccababccbcbbacaacabaacbabbacccaacbbacccbbbcbbbbacaaaabcabbabcacaab
+ccccabcbcbabbcabcbaaacbcbaabca
+abccbcababaabccabbbcccbabccb
+aabacccbaccbbccbcbbbabcabcbabbaabbccaacbaccbbbcccbccabaaabccbcaabbbabcabababcbaccabcaacaccccbcbabbbabca
+cccbcacaaccbababbcbabcabcccbaaccacabbaacccaaccabacbbacaaaaaaccaabbabccbcaabacbaca
+aaccbcbbcbccacbababaccbcbcbbabcccbababcaabbb
+cabaaaabccabbbaca
+aaacacbccccacbabcbbacabcbbabbabccaabbccbbbbcababacbccbaccbbbcccaababbcabcaccabcba
+cacaabcbbbcbabbcaabaabcacbbaabcbcacaacbabcabcabbccacc
+bcaacbcbcacbcaaaacacbcccbab
+bcbbbcbbbccbaabacbaabcbcaacac
+acacbcccbacbaabccacabcabcbcccbcbcbabcbbbabaac
+acacacaacbacccabacbaabaaabcbbcbaacccaacacbccaaacbbacabcbaaacbcbcbcba
+bbcbcaaaacbababcccaabcaacbacccbacaabaaacbbabbbaabbabaaaabbbbcbacbacbcccbcabbabbcabaaab
+aacbcccccacbbaaccccbbaccacbcbbbaacccbcabccbacbbcbabbaababaacaaccaacbaccbcacabccaabccaccbccbcbbbcacabcabcc
+cbabccccbacbaac
+bacbcbaaaaaccccbcbcaaa
+caababccccabbcccbcbccc
+cccbcbbbcccbbacbcacbccaabacbbaaccabcbaccabcacacccbbbcbabbccabbcbcacacaccccbbccccccccaac
+aaaaabbabbabcbcacbbababaacabcacbacaaabbacbccbccbcbb
+ccccbaacaabaab
+ccbbaaaccbcbabbbaacabcbaacba
+bacaaaacbacccbaccbcabbbcbbcaaaaacccbbcbacbbbcaacbaacbcabbbaaccbc
+cbbcbccbcaccaaccaaacccbcbbcbccb
+aaaaaacccbaaccbbbcbacbbcaacabbbcaaccabbacaabcccaccbbbacccaccabccbbacacabcabcbababbcbcbbabcabccbbbcaaaaaaab
+caacaabacbbcbaabcbaaabcbbcabcaabaacaabaccaacaabababababaccbcbccbcbc
+cbcccaacacaccaaaabaabbbcbbcbccbabbcbaaabbabaaacbccabbabbacccccabaccaaabcacaaabbcbabbaacbccbccacbccbbbcbcbccb
+bcbaccbbcabaaababccbbaabb
+aaabcacbbaaacbbaabbacccbaabaaabcbbb
+bbbcbbaaabbabaaacabcaabcbcacbbbaabcbcbccbcccccbbbb
+aabcbcbbbaaacacbbb
+bcbcbbccaababaacaabccccbcaaaccaccaabccabbbacbbcabcaacabacaaaacacccbcc
+baacbcbaabcbccacbcbacccccacacbacbcaaabaaaaccbccbaacaabcbbcbbaccaccacbbbccacbba
+bacbbaaacabcb
+baccacbbbaabbabccbbcbaacbacaccccbabcabccacabacabaacabaa
+aabacbcbcbacccbaccaccccccaacaabcacaccabccccccbbabbcbccbcccacbbbbbc
+babbccaaabaacabbccaacacccccbabbbaaccaaabbbaacabccccccbbaccaacaccccccbabcbbcabaaccbc
+cbabaacbcbccaabaabcbb
+bbcbbcccabacabccccbcbbbcacaccaaccaa
+bbccacbaaacbabcaccaaaacccabbcacaaccccccccbbbbabbbababcccacbbccabacccbbcbccbcbccbbb
+cabaccbbaccbbcbccaaaaccbaaa
+aabccbaacaacbcbbbcabcacccacbcccbacbabaabca
+aaccabbbcacaabacacbaaacabacbcaccabaaaccbccabbbbba
+cbbbaabbcababbccacbbbbacabbaaacbccabbcabbcccabbabbbabcbbccabbbbacccbbbaaccb
+aaacbcabbbcaacbbbabcbcacbccacbbcb
+cccbcbababccaaccaaacbabacaabcbbaaabacbabcaccbccacbabccbcbacbacbcbaabcaaabaacbccbcbbac
+abaaaacbcaacb
+abcacccccbccbaaacabcbbacaabaacaacccccbaaaacacaaabccbcbcbcabcaccbacaccccbbaccbabbabbccabbaacbbccbcab
+cabaaacaba
+acccaaacaccbacaabcbbabccbbbbbcccaabbbcaaabacaabbbcbabcccab
+bababbaacacabccaabbbccaabbcc
+abbacccbaabbaccccbacbccbcbcacbba
+bcbabbbbabbaabccbcabccbcbcbacbacacccaa
+bbbbbbabbaccbcbcbccbbabcbbaaaca
+babaabbbbaabacacaacbaacaacaccbbccacabcbabbabcbbcbccbbcbbaacbccccb
+acacccaacacbbbcabbcccbbbaaaccbaabbcacbaba
+ccbabcbabccbacacabbbaaacbbcbcacaaabcbbbbbbacacaccccaacabbcbbabbcbcbbabababacccbbaccccabaaaaaabcbaaabcbab
+abcbcbbbacacacbacccbabba
+cbbbbabcbbaccaccaaaccbbcabbaaabccabccbccccccbcbcbcacabcacabbacbcbcaababbcaaccbbcaacaacbcbaaccbca
+caabbcbcbaccaacabbbcbcacbacacabcababaaacccacbbbbcaabbccababacbacccbcabbbaabcbb
+aacccacbbaaaacccabaaccccaccbbbaacbcbbbbaacbca
+babcbabccabcbabbcbcaabbbacbaabbacaaacbacaabbcabccabacbaacbbbbbcbcbcbaabcbcbcbabbaccbbabaaa
+acbbabbccbbbacc
+bbaaaabbbacbcbbbcbbacacabacbbbcbcbbaaccbabcaaababacbbacbccabbaaccaacccbccacaaaaccbabbcabbcccac
+abaacabacacbccbacbcbccbbbabbcaabbcaccabbbccbbaaabbbaaabbaacbcaababaaabbbacabcccacaacaacccbcabcabccaaccab
+bbbcabbbbbacbbaabcbcccbcacccbacacbacbbcacaaccccbabacbbabbbcacbaacbcbcbcbbcabaabbcaa
+bacaacbbacbccccaacbaaaacabbbbacaacbcbccbbcccbbcbccccbb
+bbbbcaabccaccbccbcbcabaaacbbbbbbbcacccb
+acabccabacbcbaaacaacacccbb
+bbccbacbcbbbccbacacccabbacccbbababcaabbcccbbbcbccbaaaabacbbc
+abbcabbabbbabcbabccaa
+babcaccbaccbcaacbbcaaaccbbbcbaabababbaccccabccccccabccbaabcbaaaacbbbacaabcbaabcbabccaccbbca
+babbacccbcabcbbaabbbacbcabcabbcccaabbabbcaacabbcbbcbcbacccbbaccaabaacbbcabbcabbaaabbacbabaccbbac
+ccbccbbbbabacacbaacc
+cbaacbabababcbcabacabccabcaaaaaacbac
+caabcccbbaaabbbaabbbcbcbabbaaab
+baabbabcbbbaaacaccaccbccbacabbbbaccabcaaaaaabbcbcacaaaabacbcaaccccabaaacbbbaabaacaabbbca
+babacbaababbacccacabbccabcbbaaaccaccaacbcacbaabcbbbbbcbaccbbacbcbaacbcabbcbbcccbaacaccbacaabaacb
+caaabacacacbbacaabacccbaabccacaacaaccbbbbbbacaaaac
+acbbbabbacccccccccbaaaabaaaaaaa
+cacaccaacbbbaaaabcbccabbbaacccbacaaacccbaaabaccbacabcacaacabbbcacacbbaccbbcabacbbbcabbbccbacbccaacccc
+bcabacbbcbabbcaaaccbcccbacaacbbaaabacaababaaaacaabccaabcaccbccccaccbcabbabbabacccc
+cabcbaabcbbcabbcccbbbcccbccbacbabcccbabbcabbacbcaaacbbacbaccbabbbabacacacabbcbbacbbaa
+acbaccacaacbacbaaccabbbabaabbaaababbbbcbaaaccbbacbcacaabbaccccccccaabaabbababacbbbcabaa
+cabaaaaabbcbccbbacbbcbbbbaccbcbbcbccbaccabbbcccccbbababcaacaacacaaccaccbacbcacbabcababcccbcbcaacbab
+ccbabcaababacbbcabcacaacbbccbccaacabccccacabccaacacabbcbbcbbbcbabaccbacbaacaababcabccccbccbbbca
+abacabcccbaacaabcbaacababacbcaca
+cabaabbaccacbaabaccacacacbacacbabcbcacccaacbbacbb
+ccccbcbabbbabababccacbbabcaaabbbbacbccacccabcbaaaaabbaabcaabbbabcbabbcaabcacbcccbbababaacbc
+babcabcabbccccbbcabbbbcbabccbccbbcbaaacabacbaabccccbacabaabccbcbcbbbbccbbcbbaacbcbbabbacacccabbcbcaacc
+ccccbbbbbacbbcbcabaccccbccaaaccaaccccbbaacccbcbabcaaacaccabcaabccbcaaccbabccbccccacbcbacbcbaccbbbbacccbaaa
+acccabcbbbababcc
+ccbcccaacbcbbcbabccabbcaccabbcbcbcbabbacbcaaabcbabbaaababccacbcacabcbbcacbacaacccaac
+abbbabcacbcbcbaaabcbacbbbaccabaacaaabacabaaacabcababacacb
+cbbabababbaaa
+bccaabaccbcccaacaabbcbccaaacabaabcacabcabbbbcbcccbccca
+babacabcababcbcbaacaabbccaabacbbacccbccabacbacbacbbcacbbaaaccabbcaacaccaabbaaacbccbc
+aabbcbccbccbbaaccacc
+cccaaabccabacabccbbcbcbbaaabaacbabababcbbcbaaabcccbbbaabcaaabacaaccbaaccaba
+ccaabbbcababaacbabcccbbcacbbccbbbaabbcccbbbcbababbabcbacabccccbababaabccaccbacccab
+cbbaabcabccbccacacbbabbcbaccccccbcbabaccbbcbcacccbbbabaccabcccabaabaac
+ccbbaccbbccabacacacabcacbbbcccaccabcbacaaccbacbcbccaccabcbaaaba
+ababcbcbacbccbbacbcbccbcaacbabbaccaabbbbaccabbcacccccacacbbcbabcbbcbbcc
+babbbacabaaabbcacaaabccbaabbaccbcb
+abcbababcbcbcbcbbbabcabbbcaccababbbbaabcbabbbcbbbbbaaacbabccbccbcaacccbcbaccbcbacbcacaacaabbab
+cbccacbaaacacbacbabccabcbbbcabbaaabbcbbaaabacbcccaacaaa
+cabccaabaabcbaaccaca
+babaccccacccaacabacaacccbbcbbabbabccbaabcabbbaccccbbabbacbbaccacbababaacbbca
+cababbcbccbaaaabaabbabbbaabcaaaabcbccccbbbababcacbcaaccbabacbbcacbcbabababcabbcbcbacccbaabcaabca
+bcbcccabacbbbcacaaabccccabaabacccabbcccbbbcbbbbacacac
+cbccbbbbabaccccccbabacabacabcba
+caacbabcbcbcacccbbcbabaaaaacaccbbcccbababbbbcacbaabbcabbcbbcbacccab
+cbbacbbaacabccbaaccaacabbbabcaaabccca
+cbacbcaabcacccbcaccacbabaaccb
+ccacabaccaabccbcbcbbbbbccbabcaabacbacbabbbbccaaaacbbbcbccbcbacccaaabbaaaabc
+acaacccaabbabacbbabcbbbaaabbcacbccaaabaabcbaaacaabac
+caabccaabccbaabcabccababaccaacabcccabcbacbcaab
+bbacccaccbacccaca
+aaaababbaaacaaccacabcacabcbabccbbbbccacbcccaabcacbacac
+bacaccaabcbcabcccbcbcabababcaacabbcbcaccbaacaaabbbcbacabbcaccbcabbbcccacbacbccabcba
+acccbcbababcabcacccaab
+aacacbccbacbbbbbacccbcbbccabbaccaaaaccbbcaaacaaccbcabc
+aacbaccaaacbcbccbabcbabaaabbbaaaacacccaaababaccaaccbbbaaacbbaaacacaaaccbbacaacbabccaac
+accbabcccaabacc
+ababcacaaabcbbcbccbcacaacabccabbaabcccbcbbaacbaaaccccbbbcacabcaaacbcbcacccabaaccabcb
+caabccbcacbacabababacccbcaaababcbccccaacababbcccccbbcbabbababcabbbcbaccbccbacbbcbcbcccccaab
+acbcbacbbcaaaabaabcbaabacacbccbbcbccaacabaaccbacbccbbbccaccbcaaabbbaabbbacbccabaccbbcababcbbc
+cabcbbabacccbacbaacacbbccaabbcbccabbcbbaaaaaccbcbabc
+abbaccbaabacbccaabbccbcccbababbaabbcabccbbbcaacccaaabaabbbacabaaabbabababccccbaaccabcbbbb
+cbbabaabccccbbcbcbbababcbaabcaacccabbbbcbcbcaabbcacbcbbaabbbacaaaccacbcbbaacbbaaabccbcacaaabbacabcaaaaca
+ccbbbccabcac
+caacabaccbacbccbbcaaacbabbcbcbcbcbabcaacacbbabcaacaccbcbbaaabaccabcbaabbacbcbabcbbccaaaaacaccbacacbaabaccbc
+aacccacbacbababbcbaababca
+cbcaccabbcabbabbaabacabbcbcccbcbccbbbbabaaacaccaabcbacacaabacabbcbaacbccccbcacbaccbaabbccbccbccbbcabbaa
+cbcccbbccaabcbbcacbbaaabbaaaabbacb
+aabbacabcaabbbccabaabcacabbaacbaacccacabaccbcbaaccbacbaccaacbaccaababcaabb
+acbcaacababacabccaabcabcacbaaaaaabcbaacbccccbbaabcabaaabcabbaacbacbbabaabbcbbaba
+abababbbcacaccabcbbccbac
+abbcccabaacbcbabbbcbaacabbacbccbaacbabccbbaccbbcbcccbccbcbbabcccccccbaa
+abacacaacccbcbabaaabbbaccbccbcbccaccbbbaababcaabcccbbababacacaabbbabbcbaacaabbbbabcbcaca
+bbccaaccbabaaabaacabaacbcbcacbbcbaaccccbcbaacacbcaaaccccb
+babbbacabbaacacaaaacacababbcacababaacbbb
+ccccaaabacccacbbcbcbbbcbabcabbccacbcacaaa
+cbcaacbcccababbabccacbccacccaabaacbabbabbabaccbcbbbabacccccaabb
+aabbcaacccbbcccaacacbcaccaacacabacbbbaabababacacbabbc
+aaacccbccabacbccbcaabcabbcacbaaaaababaaaccccbaacbaccbbb
+cacababaacaaccabbbccbbcbaaababaccabbcbaaacbccccabcccacbbbaabbbaccccacbaabaccaacaccbacbacaaaabcbbbb
+cacbcbaacbbcbcacbcabbcbcbccbccaacccaaaabbbcbaaaaabacbcabacacb
+cbbbcccabcabcabcaabacccbaaacbaacbbbc
+aaaaabcbbbbacba
+abcabacaabcaabcacaacbbcbabbaaccbbabcaaabaccbcaacbbbbbbccaccbbaacacccacb
+cbacabccabbbbcabacbbcaaaabbbbabbccaabcacacababbaccabcabcabcbabcbbbbabb
+caccbbaaccbcbcbabacbbccbbcbcbcccbabcbbaaabbbb
+aaccbbbcbaccabcacccbbbaccccbcbccbbcbacaccbabacaabacabcaaccbbabaccbbbcbabababbbbabbcbabccbbbbbcbabccabbbcc
+bacaccacaaacabacbbbbccacbcaabccababaabbacacaacabcbcaabbccaaabbcabbbabbabcbcacccccaaa
+bbcbbaacbbbcabacacbaabcbbababccbbbcabaaabbaabb
+abbbacaccaababbaabbbaacababbbbbababcccb
+accbbbbbaccaacbcaba
+babbabbcacccbbb
+abbbbacbcbcaabcbacbcbbbabbacaaaacabcbcacbbbabccccaacabcbbbbbbbabcbccaab
+bbcbbbcccccabbcbaabbcbcccc
+abcbaacacbbcaaaabaabbababaacaaacbcaabbcbcaccbbcacbaabcabbcaacbabbcacacbabbaabcacacbaccbbcccbac
+cabacccabcaacbbccabb
+abaccaccbcaccacbbbababbbacaacbcaccbbccabacbbbcccbacbbaa
+abacbbcccbbcbaacbbbbccaaabaacabcabbbcabaabbcbbabbbcabcbbccababaaccccaabc
+acbccacbacabbcaa
+bbcbaccbcbaabbacbaaab
+aabaaaaaababcbabbbccabbcbccbbbbccabbabbbabcccacacccbabababbccbabbabbacbbbbaabcbaaacaaab
+baaaaaacaaccbaabcaaaaabcbbccbaacccacbaaacabccbcabbcaacacabcbabccbbcbababcbcccabbbaaabcbbbacaaaabaabab
+bcccbaabaaacbbbbbccbabccbcbccaabcccaabaabbaacacbcbaacbaaacbabacccabccaabcbbbcabacacbbbbbbc
+babcababcbccaabbcaccbababbcbbaaccbbbacabccbccaccabccccaabcaccaaccbbbcaabcbbcaabbbabccaaac
+cbcccacbaaacbacbacccabbccacbbbccbbbbaabcacaabababccacbbaaacccacacabccbcabbabbbabcccbccbbabaabbbacb
+bccabaabccbaaabac
+aabbccbaabcbbbcbababbc
+bacbcbacbcaabcb
+bcbaababacccabbccabbbbabc
+cbacabcaaaaaacbaaabb
+cabaacbacaabccaacabaaaaccccbccbbbabcbcbbccbccbcacbabbab
+cabaaaabaccccbcabbacabcaccabbbccbbbbbacbcbcacbcacbbacaaaccbbcbcaabbcbabbcccaaaabccbacccbbacbaabbaccbababb
+bacbccbccbcbbccaabababaccabcacabcabaaabcbcbcbbcbaccbbccba
+babbcaaabcc
+caabcbbbccccaabbabbaacbacbcbbccababcacaacabcaacbbcbcaccabacccbcbcaabcacccbbbabbacbcabbcbbccabababbacabbccc
+aaaaccccbcbabaaccbbacabaaccbaabcbbccaabcbbccbccacbbbbaaaaaacbcbbcccb
+ababbbbcacbccbbacbcacacbb
+caabbacabcbacaaaabacccaac
+acbaacacabcabbacccaabacaaaabcbabaabcbacabbabbccabccacaccc
+bbaccbabca
+aaaccbbccabcbbbbbabbbabcaabac
+abacaabaaabcbacbccacacaaabccbbabaaaacaaacaccabaaaabbbcabaaaacc
+bcacabbbcacacacbbccbbabbcaacacabaaaaabbacbbabcbaccbabcbbcabbbaaaaaccccbaccbcbbaccaabbcababccbcaababcbabb
+caaaacbbbabaaaccccccaaacbcabbabcaaabbbabcccaabbcacbcbaabaaabacabbcaabbcbc
+cccbaabaabcbbaccbbbbaacaaacbabcbbbbccbbcccabcacbaacbabbaaaa
+abaabababcaabbcbcccaccbccbccabcaaccaabbcbaabcbcbacabccaabaaacbccabcbbcccaccaaccccbccccaabbabaacbcccaca
+cbacbacccbbccaccabbabcaacccaabbbaaaaaabacaabcbaaaabcbcbabcccaabbaaaaccbccbabaccbaaaabbaccbbb
+cccccbbcbbabcbbaccaccbaabcbacabaacaccbcbcacaacabbabbbaaccbabcbccabcbbbacbbabab
+cacbccccccabbaaccbaabcbccacbcaaabbcabaccbabbabacccabbabbaaaabccbcb
+bbccaccaacccabcbaabbbaacbbaacba
+bbaccbaacccbcbacabcaaaacacacbcabbcabbcaaacbabacb
+bcacbbccbaabbbbc
+baabaaabbbbcabccbaccbbcbbaabbbbbcaacabaacbcabbcaabcbcacbabccbcabaaabbcbccaca
+bacaaacbcbbacabbbababcbcbcbbcbcbbcbcaccbaccccaabacabaaaaabcccbabbabbaccacaaaccccbbbaabaccbccccabcbcbcbbacabc
+bbcbcbbbaccccbcbbaaabaabbabcaccbbbcccaaacbabbcbcbccbccaacabbaaaaccbaacaaababaaaabbcabaa
+bcbaabbbcccbccbaccababccacbababbb
+cbbcccbbbbcaccabaabcbbcbca
+cbccbcccaaaaaccaaabacbcacbacaaacaccbacaaacbbcaa
+cabcbbacbcaabacaaabacbbbbabcababcccabcccbcccbaabaaaaaaacbbcaaabaccacabbcaccabbbaabcaacaaacabcbbabaabbabcaab
+bacbbacabcabaaacabcabbaaacbabcbcabcaabacbabbabbabbccaabacaacaaaacbaabcacbabac
+baccbbaabcbacbbcacbacbbacbcbcabbbbcacccababacacab
+ababacbaccabcbabca
+aabcababaaaacbbcabbaacaaabccabababc
+ccbcbaaacabbcbabcaaabbaaa
+abcaacbbabcbbabbcbacbab
+bacacbbbcbbaaaaccccbaccabbcacaacbcaaaaaa
+ccbbcaccacaaacacbbbbcacabccababbabccbbcbbcbcaaaccaccacacaabbbabcccbcccabccbbbcaacaaabbcccccaaabacbbcc
+babbccababaaabbbbaccacbcabbaccccbbbaacacacbcaabcabbbcb
+ccbaabbaabcbabcaaaaabccbaccabcbcbbcaabbcabaacbbbcbccaacbccababcbacccababcbccbabbbccccaabbbbca
+aaabbbacaabcbbbbacbabcccbccbacaaaacbbbabbbcbaaccccbbbababbacbcbbb
+cababbabbbcbabcaaa
+cbcaabaaccacbbbcabaaaaccaacbabacabbbccabcaaabccabbcacccbbabcbccabbcccbabccbabaccaacabcabaaacc
+abcabccbabcccbbaababccbaabcaaaccabccabbbaccbcaabbbaacbaacbaca
+bccaacaaaccaabccabbbbaccabaccabbacacabaabcbbbaacabaaabaaccbcaacbabcacababcbababb
+bbcaabaaccbacacbbcccccaccabbbccaacbbacababaaabbabbccaabcccaaabaabcccabcacbccaccabbb
+cbcccbccccbacbabcaacbcacabcbaacccbabcaaabbcbbbabccaaabbbac
+cbaaccacabccbbaabbccabbbabbbcbb
+aaccccacabcacbcbababaccacbbccaaababcacbcbbcacabbbabbbaaacacbbbaaababcabbaabccbbbbabbbcbbcabbbcaaccc
+bccaacabbbcbbaacbbbacbccabccacacaabbbacaabaaabaaabbccaababab
+ccabcbacbccbacaccabacccaccbbbba
+cbabcccbbcaaccaaccbbcacbbbbbbcbaaaabb
+aacababaaacaacacaabcbaacbbccbaaabbcccacabcacbbccbcacacbaaacaaabb
+bbbabbccbbcacbcbacabbccbbabaacabbacbacaabbabbabbcbccbaccabaacabbcbcaccbabcabacbcabaabcaaabcacbbb
+caccacbbbbabcaccabbcbcbaabacbacbaacbbbcbaaaacbcbbaccacababbbababccbbbcabcacabaacccccaaaaaccacbbb
+cccbcbbaccbcaaabbaabaaaccacacbbacccbcccabccbbccacccccbcbccaaabbbcbbacabbcbaabcabcbcaaabbcccaabcaaab
+caccbcaabbacacacbbccbcbcbcbbacccbcbaacbccbabbccabbbabbbaabbbcbaaccabcbacaabacccbaabcacbabbabcaacaa
+acbcbbccccbaaacacbcabcbbbcbbcacaacaabbbbaabccbbacabcaaabcccacbbabbaacaccccabcbcaaba
+acacbbbaaaccbcbababbabcaccacbcccbccacbcabccacabcccacbbccaccbaccaacbaccaabbcaaaccacabccbbcbbcbacbaccaca
+bccaaabbbbaccaaa
+bbbabacccabbbabcbcbacbaaaaaaacbbacabbabbaccbaaacbcaaacaaaaaaaccabaacbbabcb
+aabaccaacaacaacccbbbbaccccacbaabacbbabbcccbcbbbaacccbbbacccbcacabcbacbcbaabcabbabccaaacaabbbabaabccbabbcb
+abcccacbbc
+abbccaacacbcacaabacaabccbcabcaabacbccbccaabcaabacaaaacaaacaacbcababaccaaccacbbbbabbaaaacbaabacbbbbcbcaaaaabb
+abbccaccbaaaaaacbccccaacaaccbabaaabcccbbacbcacacacbaaaaaaccacabbabacabccaccbcaabacaabcaabcbabbbccbbbcca
+aababcccbbbbcabcabacbbabbbbcaabccccabacacabaabbbbbcbcabcabaacbaababbccccabbcbbba
+bbabacaabbbaabbbcabbccbccacaabccaacaaccccaabacabcaaccabccccbcabbbcabaacaacbbaacac
+abbaabbabccbccacccaccbaaccbcbcbbccaabbcc
+acaabbcacacacbabacbcbccbcabcabacaacbbbbacbbaacacaccaacacaaabbabcaccccabaabacbcaccabbbaababaa
+acbbcacbcbcabcbaacababaa
+aaabbaabccbabbbcbaccaccaaaaabbabbbab
+bbabbabbbccabbbabbbcbabccbbccccccacacbbcbbbcbacccbaaacccaacbaaaabccbacaaccbccacbbbcaccaaabcbbcccbbc
+abcbccbcbbcbbbababcbbcbbabbcbbaaacbacbacbbcababaaacaa
+bbccbacbabbacbba
+acbbaacaacacbabbacabbbcbbcccaaacbcabbaaabbccbbabacbbabccbbbbaacbacbcaacbccbbaabcbaccccacaccbcbcaccaacbaacccb
+bacaaaacabbcccbbacccbcccabacbcabbaacbcbcacaabbaaacabcabcababcbcbbaabacacacababbcababcaabba
+aacacaaaaacbbabbbbbbacccaaaccaccbbbbbbbccaccabccaaabbbbccacaaacbcacccabaacabcbcbbaabbbcbbbcbbacccababcbccaa
+bccacaaaabbcbacbbaaabbcabcaabccba
+cabaacbcbbaacbabccbcbccabbbcccccaacbaabacacbccccacbbccaabbbacbabccbaacbbcabbcabcacababbbbacaaaaccbabaca
+bbaaaabccacaccbcaacaccbababababaaccaa
+acabbbbbaababbbcccacaacacbcbcaaabbbcaabbbaaaacbbcccacbcbcbaabbccbcbccacacccccabcaaacccaaccbcbabbac
+cacbacabbbcacaccabbbacbcacaaccbcbbcaccccacabacbcbbcbbaaabaab
+bcccbababccacacbbabaa
+abbabbcbaccbacabcaccbcacbccbbbbabcabaaacbbbaccaabcacbabacbaabbababcabaccabbcbbabbbcc
+bbcbaaabaab
+babcbabcbbbabaabcbcbacacacacbacccbbcbbcaaabaaabaccaccaaabbbbbabaaacabbabbaabaaabb
+baabacaccbcbcaacbbaabccbbbbacbcbbabccaaabacbbbbccbccaccbbbacccccacaccaaacabbcbcabbb
+bbaacabacbbcccacbcaccabbabbababbcbbaaaaaababc
+abcbacaccacccccbabaacbaabbcccbbbbcabcacbcbbcbaccaaababacaaaababcabcbcccaabcbcc
+bbabccabaaacbabcccccbbcbbabcbabcccccccccaccbccbbcababcbbabbbabcbbcaccbbab
+cbbaabbabbcacacbabaabb
+abbcaacbbbcbcbabbccbaacbacbaacaabbacbccbbbbccacacababbbbcacccbbaaaabaaacabbccabaa
+cbcaabcccabbcacaaabbcbabcacaabaaccbbbbbacbabababbcaaacbbcbaaaaacbcccbcbcbacbaac
+cababacabcacbbbabaaababbaaacabaaababbbbabcbcaacabbbbccabbcbcbccbbbabb
+aacccaacbaccbcccbcabaaacbbaabacbccaaccbbbbbcabacbccbbabc
+aaccbcbcccbacacbccaccbcccccba
+cacabcaccaccbacccabaabcbcccaabcacbcacacbbbbccaabbabacabacccbaaabbbccbaccbbcbbacaabcabbbac
+ccbacbccaaababbcbbabacbbccaacbcbaccccacbcacab
+bbaccbcccacabcbabaaaabba
+ccbaccabbbbcacacacbac
+bbbbaaaacbb
+cbbcccbabbbabaaababacacbcaaaabcbcbbcccabccaccacaaabbcbbbb
+caaacbbacaacaaacbacbaccacaaabbacbcaacccacbacbbcbcabcbabccacbcbaabbcbbcbbaacacbaabacbaacabccaccaabaccc
+ccabbcaabbccaaaccaabcbacbcbbcabaccaaacccbabcccbcbcbaaccacacbaabcaccbaccacababcabbaacaab
+baabccaaacccbacbabacaaabacaacabcbbcbccaaacabcbcbbbcacaabaaccccacbbbbbabbbcbacccbcbacbacacacbacabcabbccbbaca
+cbbbbbacbbccaaabbbcbacaaccbbcabbbabacbbbbabcabbabbcbccacccccbabbbbccbbbbbbcbbc
+bcabcbbacabcbbbcabcaaccaabaabaaccbba
+bacbbbcbcbcacaacbaaccbcaaabcabbaabacccc
+cbcbbaacaacbacaababbaabbcaabacabbcbaabbbbaaaabccacbaaaacbacbacbbbcbaabcbaaabccabbbcabbccca
+abcbbbcbccbaacbacccabcbb
+cabacccaccaaaabcbabcbbcbabab
+aabbccaccbbacababaabcbbaabbaabbbcababbccccabaaccccccacacbbcccaacaabbbb
+bccbababbc
+ccbbbcabaabccaabbbaaacbacbbcaacaaabbcbbbbabacbcbcbcbcbcbabaabaabaacaababaa
+acbbbbbcabccaacbcbbacbbbbbbbbabaabbbabc
+ccbaacbaabbacbacc
+cccbaacbaacabccbcaababbccbccbbacabaaacbcccbcbcbbbbcbbcccaabbbbcbbacaabbb
+aabacaaacccbccbcbabbccbbbbaccabbcbcbabcaaacaccabcabbababccccacbbcbaccccabbbacccbbba
+cccabcaabacbaabaaccaccbccbabcacaaccbabbaccbcabbacccbacbccaaacccbcbbcbb
+cbacccccbcaaabccacaaacbbacbbcabbacccbbbcabaabbbbbababcabbacabcbac
+ccacccbccbcaabcacacbccbacabbbbbcbbcbababc
+10 5
+caedacadebabbebcadbadeeaeeebedddddabeeeeaaccbebbddacbacdeedacddcbceadccededabbedacebabaeabeeeaacbabcabaeebbcaebeddddebdbcdcdcdbdacddcdccecbeebceaaecaeabeeaaabbeabdcebababbcbcbbddbcdddebbabebdeadcaedbcdaeeeecccccaacceedecaeaaddcddeceabdcdeebaceaacaadbeacddbaeaaacdcddecdcdabcdceabbcbebcbaecaeedbdbcacedbbcabcbdebbacaaaccacbddcbceabbbacaaedacceaaaeaabbbcabcedaebcdedaddccbdbcceaecaeecaabbddddbdcaabcddaaacbcaedadaaddeccdccbaaaecdcbcbeaccbebdbceccedaaeaeebdbdcaebededcadcdbceebddeceacdacbdeeebeaeacccbaddeaeabbbbeecddeedbcbeadbcbacccceeaaebeadacbeababbaeeebdcbbbbdcbbdecadedaddcdbedbbacaaddacaaddbbcdbeedaeaaecddbadeeecaaeebbbcedbcdeebeacbaedaabdadacdeaadcbabccaaecccecbbddddccddedccdadcbbeedccbcebddadbcbcbcabcdbddaabbdebebabcadcbbabdeccceeabbaceadccaacbdeededacebdbdbccaedcadebeabaeeaccddcbbbdaaaacbbaabdadcbdbcdaacbbbabdbcecdeeeeacbeaadcacebebadceadbdeeabccbcdaddddaccbeaeeaaacbabdbbdabbabdeeaaceeeaabdeaeeedbcabebbadbcadadddebababdbeebcceacdccdbdebcedbdceccbededabedbddaaaedcbdcabbbbaedeeacebecdeaaacbbdcccedaeacecbecbbdccbbabbbdeebbedbcbaeaabacabebaccdbaeaecaecaededbeeabcdabdabbadcecbecaeeeecbabccaeccdcbecdbeeaabcadebbadceebaacabddeedccbcccbdaaeedbcbdcadbacbbcdcebacdaeaabddacccabeadbcbacebddbcadedebcdecbdcbdededddadbcaacebdeebceaebcbdbedebdebabebbbbbbadbbebdaabdadabdceadedacbaabcecbdcbbcedbcebbcccdbaeddceeaeecaecdeedddcbcadccbbeadaebbcdbddbcebeaccacceddaddbbaeeaddcdecbbacddddaccbcddeebdcddddcaadeadbbdebccdaeaecdbbcdeddcdcccbedaadeddbeaebcdcaeecbebeecbdbbedbeaacacecaebdebabedddeaedaecbaaecadbeebceabdccddebceebcddaecbdecabcedccccadedcaccecaedadeabbcaaeedcacedbaaedebebdebacbcccdeaacbbabbdddbbbeccaddebabbaeedaaddecbabcacbecbeadbeccbcbbadcabccaeebdcaeadaaddbaeddecabededbdeedddbecaacdcaeedacdacedeaccabbacaeaedabcaeedaadeabdeebcbbccaaeaceabaeaabddccdecabcaeeacaaeeebaccabcdcebceaddbdcdbcbaeecdaebcdabcdcecadccadbcaebcbeecacbdeacddacebbbeecaabadddabcaeddabcdaebdbbcdbcceabcdacbeeecbbbaadccaaacbcdaeededdcadcbaaecbddebdedcebdceeeaeeedaadbecddbbbdbdacdcdacbcabddeedeaceeecbebcbbeccacdcaecaeaceebbdebddaadaacdebbebebbecccdbebcbcdedbaacaceeedddbbecbcdaccedabddaadcccdccabeeabcbecbadebadbdabbaccdbaedddacddbeebcdbcaabbecdedebeebeaaacaadeababcbdbbbbbecbdabeebaebebaebedbeebdeecdcdbcedbdcbbcaecdebbaadacdebbccbcadadebcdaabbedebedbaadacdaceaaeabaccaeeaceddbebdaacaccbecaeecdcddceedcdccbdcceadaeaaeacdddbebecaeabeecbddbdbdbebedcaebecbaebbdcabcccddcbbedcbdcdbdabbeaabaaacabdbecaedcedbdecaeeeadeababbadeebceccaacdebcccceebbcdccaacaaedceabdeaedcccdaddbbccbcaeeaaaaeaceebebecdeeddbdeadbbecdccaccbceeeaaadeaaebaebcebcbaaaebccababedbebbbeddadacdbebdccebcbedecabaecbecabeddeeecedecbbeccadebadcdddacbdeeccbebebadbddadeebaabbdacddddbadbbbdacacaccdecadabcdbdeaddeecdbbebbeddddeccdedeeaecccbeeaacbbadbeaaebdecbdbedebdbdbccaabbaedeeeeecaeabbcdaceccedbeadcacbcacdeaecdcddadacbeecaaeddebcadddddbdbbdbbdebadeedededcdebaedeaecddabbabebbececbedbdcebdebcdcbdddcddedaadeecddcecdcbddabbbaceceadadcbaaaeebceddbdaeaaeedeacbbcecdaaccdcacacedbebcbdebababbececacdcbeacaabbedbebacacabbcbbdaaaceebbcbaadcaacaebcdecbddabcbdceaddcaeaccebbaaeeeeedabceddedcbededbeeaaceeaedceccccedbabdebbeadebddcdccdbeddcbbedcccbecbbbabbedabacbccadddebdceaabacaddcbbecdbceeecdcebdaeadbdcebebaebedbdeacdcbedddebbacdaccbecabbeededaadebdeeceecdddeddbeacdebeadaddcdebdcbdcddbbdaecdceaaaeeaabcceaedbaccabbcbbecacbecedddbeaeddcedacaeeebbcbbabdbeccedebdeadeacbceebdabdadebadcebbbccecbbbcdaececbdaedaedbaebbaeceacebcddadbeacdddaeaecbbcdaacbaaadacadacbedcecabebbdcbdeedcbcdbcbcbaabbdddbdeeceeedababdacbcbccbdcccaacabeebeaecabaaeecdbabadeacbcdcbcabcaddadececdbebdedabeebecedcbeeecddbaacdebceeaccdeabaaebcebceebaeaadaeedbcaaaccdecddacacbccaaeccecdbddccedbdbacdccbedabadeddecdecbdedadaedaccdcdbbaabdcbaadabbbcdacaedbcbeaceaabcebaadbcddbaccbabddbbebaaacebdeebdeababebddabdbaebadcbbadeccceedaddecddcbbeababdedbdcdaadbedbaebcbaccaaaebbeeaddcbbdebdbbedebdcbdaeedacbdebaeaaaecbaaaeeacbdcaeaeaceacccddbabccbbaeeabbbbbeaddbedaaedbeeedecbbeabbabedacedcbcaeaecbaeddebbccedaeaaedeecbeccccddbbbdbadeacddccddadccccacadcabbaeaabdcabbddadabdacddeecddaccacbaaeddeccabaebcaaaebbdebdcddbbebeeabcedcedeeaddecdcdcbdeaddabeeecaedaecccdabceccdeaeceddbecdeabdabdbcaeedaaceaeebaaeeddddeeeaceabceabaeebddaeccbdeeeabeadbcacbabcaacdaaabddedbcaedaecbbddceaebcacbbaeccdecbddadbcbebcadaacbaedcebbaaecbbccadbeebbaceacdcabaabcdaeaeeaebdddcedaeaaaebbeeabcdebecbdaacacaabcdedaeabeedbbebbbabceabbebaddacedeeaceceabbbaeaebebdebbdcacdcbbdaabbaeeeaacbdbccdbdaaaadadcccdaeaaeebaceeedeaaababebebeacdaaaaacedbaeeabbeadcebaaccabdccbaacacaaaabdcdacebbdbddaaddeacebaedadbcaeacddcddebdbdbecbbacbeeeadcababbeededdcadddbdecdbabcaaacbacbacaaadebbcdcbebcedebceddbbdaaadadedeadccabeaebaeabacadceebebbbdbdccaeeceeeeebcabeaaadadbedddaddeddddecddceaecedadcbddbceaeedcbdacedcddeaacdbabaeebaaadcaadccaeeaebdbeacdecbccdaddbadbedebddaebddccbbeecadaacdccddbaedabdeedeabbdcacbabeedbcddbcdedaccacdcbbcbacbeadeadcbedcebbabbcdbdddbbacbdeeaedeaabbebbbbbaedceddaccebdedbaaaaaabedcbcebbcbcebcbebeaeabecdbaddeeaddebedbadeacaeecceecbaaadabcaabbcbdeaaacdbecdbcdaaeabccddeecabeacedcdabeddbbbceeeccbdccaacdeeacadabcdaaaccdaacedaebadbddddeeeeabcadadaeebaadeebcedeaeaaccccbadbaedcabecebbbacedaeaebbddeecedddccadadebabecdccedccdbccebbacecbaabddbdaeeecaabbcdaecceeaedebdbceaadabdcecdbbedebadacacabcdbcbeabdcebedcccdccccacddabeaaccddbacabebbebbbbbcadeebdaadcaddebacbaaadddedcbcabcacddcebededdbddacecaadbdcbdcbdbdacdeebcebadcbaecbaaddbeacedecebeeaebcacddcdeecadcadeacbcbabdaddcededebeaaecadaaadeabbcdedaaaddeeaeccadaabadeabcddbecebdeadbcbabdbcececdbebacabdcbaaabbcddabdbaaaecbcedcedeedabdcdcbdaadcabccceabccbeadaeebdadadbddddbbcdeacdaccbbbcdcdddbceccdadddeeaaecbdabdaaaaaceeebedadcedebebccbbceedeedceeecdddaadccdcaadeaecbaaaaaaebccbbcbbbadbaadebbbebeaddadcebaeaceeedaeebbaccdceeeadccbbcdeaeaeaaeedacaedccdedbaacacdeabbedddbcdcebbecdcdcaecbeecaadccbbbcdbedbeeebdccceaedebccccbabacebaebbbdbbaabbedacacecabdcdaaacdeacccdaaeedbacaceaaecdceeeeeeeeceaeadaecceeabdcaabcaadecbccaaceadbeebabbddcccdaacebeeccbecceebeddebdaaaedbaabaebccabebdeeeccccceebbabceddabdaccabaccdbacbaaccddabbabaebdbadcebaeebdbabaebabbebcbbebecdbdecacdbbaeccaecaaebbeddbcaaeaaddbeecdbeedcbdabdaeacdcaedcbaddddadbbdcebaaaccecdccacedcbadacdbcdaebdebbebebebaadcbddccedeacdbdaaebecaaeeedeadbdcaeecadeebdbdecaaabacecdbeeedaeaaddbaeebcacdeabeaeeebeaeebaeedccccbcebdabaadbededbacbaeedceaecacddbdabdadcaeabceebacdeddcebaedcbdeedbcbdcbdcaceedeaaaccdbcabbaacabbcebdbbeeceaddbebbdabaeaeebbcabadbeedadcaacdccaedddbdadbbbeceecbbcecedaccbebdeebcbadbeeabecbbabbecdcbdcaecbedaeadacbdabbbbcbbedccdcdcdcbbeabdbaeaeadeeceecadbddaeaabacedabddcdddabbbdaceababaebebddaaccddcbbcaeedcdcdbddcacadbbdeddedecdbddccebcaadaabdcecdbbabcacbdaceececdeddeebbbbeeddcdddebeaceabbcbccbeaedecebcedacdcbbceaacbecccbaadbcbcbebdbdcbececdddcedabdeeabaddaeededeacddacccccaaebdedbbaeebaecbacccdbeeddccebacdeacdbeccebccbaecdceecdeabaceababcccdcabceadbdaeddccbcaeccdddebaeabeacadbcdbacadacdcadacaddaaddbabbeadcccaaedaacaadacabacbbeacaeeecedccbecabdadaedcbdbdbdeeebeabbeebaacbbcdeedaecaddcdebaeccaabbdcabccaebabeedaaccccbadbeaeaedaecadeddaacbbcdbceedcecbcbabbeaacedeabccaabcdadecaeccdcaceeedadcabedbcaecddcdebabebbbecebbdcaeadbddbdaddcaecbeaaaeaebdcacbcbecedacededbedadabaadbecebeeddbabaddcedaecbebbbcadcecdedaebbceeedaccdcbeebbedebdaacdceceaaaccccedabdccaebdcaadbecedecccdbaebdbbcacdbdbabaedaaaddeaeccebacbeeebbdacbeddbbceccce
+bccebbcbbecabeccbabdcabeddeeedecdeabeceebbcdedabbbbceaecccbaabddcdcacccadaeeceaaacaeeabbedacdaddaccbadccedcdcedbccaededaccbeadaeeabdaaeecddecaeebadbbabcbbdcacceccdeaaecaabdeaabbabeeccdeadddaebdbedeeadcccdbcdbceccbceeacecccecccbdccbdabbedacdcbcbbbceeeeebdbedaeecbaabccdaaddbccecccbabaddaeeddcceacbacdeaeaaadcbdaadbeedcacaecedadaaedeceebbcabcadeeacbaaeaabebaedeeeeedacedeeedddecadececcdeeeddcbdbaeeaceabbbdedaebbdeedabdbbacbbbcdbeededdcedddbccdabdbabbedcbaebdcddeddbbdecaeabebcadebeadaebebbededdccabdecceaedaeeeacaebedaaadebcbdcaddeaaaceeccccbbcbdaaebdcebccacdacbeaeecdbcdeecaeaadacbceccbeadeaecabbcbdbcdbcaecadeddbeccabaaadedceaddedabcbbeabcbbaacdeaedcbacdaccebadebadeaaceaebabecdeeeacbbbecedbecacdadccaecabeaabecadbdaacacbaeecbdbeabccabbdbabcdbcedecbddacbaedacbbaacdaebcbcdbeaddadadddcbdaadbabbcbbbecdecbdaaccaedeecabbbccabcbacecaeaabababeadcdbebdeddbddbddeaddcbbdceebdddeddabaaeaaaaacdcaadaeaabbeeabeabcbceddddcdcccbedbcebeebdacdcedeabebddcacdcbaaeeaeaabbcacdeddcdeccecdaeabeeecdcbdccbbdbbccdcbbceaeaeaeaaacccdccdddaedabedadaccbedaadbdcdecceeedaecaeaccabdcccceacccbaaeeeebccaadbdbbbdeedcdeadaaebcbceeccceaeedecbddaaeabaaeaedadecbceebabadbceebcdbbbbcccbbadaccdcdeeadabccbeabeeeeabdbadbdbabbcabdaabbcdabcaccabbcbbdacbeccdedbdccdebcdbeccccbbcaaabdbbbbcedcbedbbbcbeeddecceaaaedadacaeaaedbcaedadbabebaeddeccbbcaacdadacdbcbdcbebdcccbdebeadaddbbccebadcddabdacdadecdaadbbccaabeecacdbacbddeabeeeebabddcdccebcbcccbeeabccdecabaaccebcaecbbecaebeddabbebadaecadabcdedbaabadcbdecdcdeadecdcbdacabcdaabbacdaeabeebddeccccabebaceaccedadaccedbbeedaddabedaadbeccbaccccaaeacaabbabbdceecddeedbbabbacaaaedddddcdcdabebeaedcaaecdedceccacbbdabeaeebadcaccdcedeabdbcdcbaaabbbaadccddcbecdbbeadacaabcbdcbdbaaedabdbebeeecdeacadcbbbbaccababedcaeacceddadeadaeeadeedcaaabadbbccdaaacecedbdbcecbeecaeedcdadeddeebbedadccaceabbcabbeaeecebeaddcbbdbdebdbbdeeedacbdeacaacedbddadeaeaadacbbdcceddeacedbeeaabddbceaddcbccaedaecbaacbddeaedaacbadebecbddcaacceddbaadaedbdcaeceeebdaeddcbedeebbeacceabdbbbbaebabdacacdcdadebebdaebcdccdbddbbbcddcbedbdebddeeecedcddbaedababcbbdecbdcebcebdddcadcdbdcdbcdeedbedebddaaddababedbccbaecddeeacacedccececcccddacccaebbdccaedeceaadcdbbbcaccbaacddeeeebcbbadaacbeebeebecbadadadcabaccbbebeccdbbbcdadcaaacebbacaeedbccecddebacbadcddccabcdcbdeccbbaebebbcbcaabdbbaedeadbcbaebadaecbacebebadbecdcbdbceaeeeedbdaddcdbbbbccbdecdebdcabacaccccdeccdedbacecbdcedcceeaaeebbbcaacbabdcdeaaeecbbbacdadddbcacabdeaecdcdebdaeadaedccbdaaaeacbecedddabeabebdcabebbaeedddcedebbbdbdedabdcdedbcaeabbbdceeaaeddabbdcebbeecbdbacbcbeeabdcccdbbebeebcecaedabdaacbbdeabdaeaeadedacbedcaaaaddedbadeececccbcdccebcedecdcaedaeaeebdebbeedceeddecaacaeeeaebadebeabbdcdbccceaecdeaacebdebbabadbeabdddecccadcdddddececebeabedeaeaeddadddaecbaaecbdaedbaedecaaadbbadbebdbcaceabcbbdabaddedbaadeecbaadcedaccbcaddbebcaccbecbbcacacddcebbabaebadeeaabcbbadcbeaecdcbeeebccdebcecabdbddccbdadcbdebdeabdabccdcebdaaabddececbebabeeeddcdbdcaaaeddecebcbddbedaacbaccdccabebadccbbdbebddbeecacadeabddbaeabeeedbaaeebaabebaedddebbbcaacaccecabecbadeebeacbaeadedcedccbadceabceacdebccdddacbeaeacebaddbadadbbedacbdaeabecebdacebccedbbeedaeaedbcbeeeeebaebbacbacbcacdabeeaceadbcbbdbabecaeeeebdbaebaeedbdabdbbdadcaabcecbbbdeaeedabcebacdcdedbcdceecaacdcbdcabcadaababbacccdebcaeadbaaebacaebedcdddbabcbadbdaaeccadccbebeecbbacbdbbaaddeeedabaddaebeecdadecbbbaaadeacdeddadadbccedeeddecedeedabcddedbbbbcabedbaadbaabdacaccdabacbbcdeecabbedbeabbdbbedeaccebbecabaacecaadcadacbdddccbdcabadcaaadabbdacececbdebdaababbcbbccaeaaeeeaabacbaedacdacdecbbdddaebeddbbcaddceacabedeadedccbdcebecbeaeabcbbdceecbbaebaeaaeabdebcabdddeedabcbceeedabbcbaebabedcabeaacaeddcdddccadaeeaaaeccadccddcedcdbacabdceeddcbcddaaceddccdecbbdccadbeacaceaddabeeacadecdbdbecacaeaaaddbcdacaccbaadceadccdeaaeeabaeeebaccebdcebaabbdbeadaeccddcdceaaecaddbcedaceecccaaabdaddceecacdbdbbdbabeadcccbbebebecaacebcdbeacdacdbeadeadbbbdbbedaeaccaadbcebebbdaaaadbbeabedbccdcabbbbacceadcdddceaeccccdecbadbcbbecdadabbeddbbbcdadebdebbbccdcabedcedcabedabbaccceaacbcbdcbaaeceacabbbceecebebbaabbdabceeeebedbcdbeededabbbaedcbeaddacbadbbbcdeaabbceaccccdcabbcbecaebebdbbaebdccbdcdeaacceeebdddcadddbeacaedabdbcabdcadeeaaeecdbdcecddedaeeeecceacecabaeaaaccbebbdaeebabbebbeaeceddcdcccadbccdebaacaddbeebbecececcadebbbebaebdceedabbadeceadbbbdaacdcdcecdeaaeaeccaaebeabcdbccecebcceddcabdebebaccaccbbcccdebbaecbcadcbcaacdbebebbbddbdedccacccabbacdcbeddeccdeaddbacdadbabbdaedacabdcccdddcabeaaeeedabeeebadabbcbdeabbedcceabcabddbcbaeebcbbebbcdbdadcbccbbdbdcebadddaacdaeacaabbabcbdabdbacdebcabeabacdebbdadcbccaaeabcdaededebbdeeacedebdddbddbeacedbcbdebecceddbbadeadecdaccbbcadaabebcbcbcddbbccedbcdbdcedcdbbcbbabdddcedcadcacdeceeaddcbbbaaccbccbccecdccceabbaedbbdbaaaaaecdacbdccccaeaecaccaabbbbbebccccdcaedeadbebddaedddecbdadaececbebeebadbbacedecbdadadcadbaccadbdedcaaabaeebdaacbddedeecdebdeacebabdddecaacdaaccdbeddbadaeeaacedeecddccbddbadedbdadaeaaddedcdbeacdbceecdccebdcabaecbabaabedbadebcddbaaebcabcbebcdcbedbdedacdeacdbeabbaadeccacddadeaababdddbacbaecbadcdcaaabddbbedccdbabeececcccabcbbcaccecceccbeabeedbebaaaadbeadecbebdbeaeabdbdaeddcebcaedaeeeeebdbbdbeaacbeebadcaabbddbcbaddacebbdbcaceeacdcebecdbecadbbbbccacbaddeeeeeedbacdecdaceeacbcaebaecdcbdacebdddbeabdddebadbbeecacadeddbeeacaadaddcaebbedcadcbcdaeaacbcbeacacaaecedeceecdbcaabbadebaebdadaeaaceeadededbdecbcdaeccdbcacbeacedaddbeccdbcbebacdeeddaabebdbcbcaabaeaeeecaaecbebbabddebadedebbdebeeccdabeeabbabdbcbdbbbddaeeccdaaaacadebcacdabbacdcbabcaeaacdbbbaeccdaaeacdcaacaceaadcecbabdbdbeeebabbceedebcdbdeceeaebccacbbaacebebddaaabeadeeaecdcaacdecccaeebbdbdaaacdcdeddddbbcceaababeebdeddbdcebcdcdebcababcaacbaaabbbcacdeccecbcadabbbcbdddabdbaddbeaebedebaaccadcbaebddbadedacabeddcedadecbdbdeeeccaeddbadaceaaaccbedabedcaabcdccdacaaedcadacddcebeabbbdaabbbcbbaaaeebeddceebebededcaaebacdaddaecaabbeedcbbbcbddedaebeaccbdaacdcaeeecdeaecbeedbbdedddabebcddcedcababaeeeecebebcaabdcaddeededbcaaaebcbacaaddebbdcacabeadabdccedcaebcecbdacdaebedcbdbddebacbddabeeaaaebadddacdbdccbeabdbaaaacddaebdedcbbebaaadbeadbdddbeedebdaccedddeccaddbbadeaabbdbddbbaeeeaadedbdbabaaccceebbbeaebacdbabcaaabbcaaebcedabcadbbadeaebccdcecaedcdaccdecaaabbdaaadcabcecbdbbbcabccadcacdbcaaabbeebcbbbcdccccaaaedcccbdbccbacccdcccabedaaaaedceaccebecbebacccecedecddcceabdcdadebeaabdcedeaddcdbddadeeaeaaccbcebddaacedbaababcceadeaaaaadacdabdecbabcddecddebcdedcdebdbabbebbadbcbdecdcabbedbbaebdacecbdbecbbcdbeecaaceddacebcdacaecedddaabadcbaddbcedcbdbeccddeeeebababebecaeacdcbbaeddbddadbcecceeccbcbcedcbeeaeecdcdedebadecbbddedeeabeeebaaccadaeeeeebbedbddaacbebcebdbaecbceddecbacbedaadeeebccadaeccdbecbcaaaabacadeeceebbdabdcabaebdeddececdbbddceccdadeebbabcccdebaccbecbeacdcceaebcbcbdeaecccbccbebccbabeddbbecaeacdeeacbbedaaedaccecdebadacdaadaaeabebcdcedebeccccddaaacdeadbbdededcaaacedbeccbcdacdaebbdaaabadbedcadaabcdebbabcbeaceeebacaaebbceccddaabcbbdaebcdaeadaeedeeaaaadcbddbdbaccaeeaeedebcaaeacdadcbdbbbdeddeacabceeeaadabeddccadedbcbbeaacabecccddacceadbbabedbebdaebebaaaeadadbcccedceebedbececaeababddeebebeeddaececbcdecaeecbedccecdbcdeedbcaeadbcddacbebbdbdeddeddeddbadceaddccbdddcabaceddaececabdeceedcdbbbbbbdbcacaaacacaabdeddcdaacdabceccacbbabbbaeceeecbddcedeceabedcccbdcaabbebbcabeccecaebcbdcaabcaeebedbdaebcbdadaceaebcccdcdacbcaebccaaeecceccbdbbcebedaacbcdaadeeeaaccbdeceeadbcddbcaedaacedecceceaaeeaeabebbdebebcacaabcaeeecbbbcebebcbadbebbbababdcaeacdebaeccaaddccbcbacdaeddcceccbbbbdecbaaecaadbcddbcaaeebecdedceaccadcccaecedccdbbecbdcbedbecbdeeeccdadbcbebaeddbeaedcedacbaecdcabcaddcebeacaaeebbbeacbedbdbebbcaddeaadcaadecbaadacedecbebcbebbdeabceddddaedcdccebdcdcacedcabecdacbcbbcaaebbbaeccdebacecdeebcdadeaebadaaebbeaedddbaaaededbbaddeabacaeeabcbddeecbadcabcccdecedbdecedcceaebbdeacebbbebcccebcadaaaedbbcaacdebddbcbcacacceccadcbdedbccddbdeceadcecbdddddbcadbaaadbeacdddbddbcbbddbdbeaabdbedcabbddbaaeddbececabcbdccdabbdbadebcaabbcbcadcebaaacdbcacebcecdedbaedcdcabbcaacbdedbaeedbbbdcebbbeeebececabbaabbccedabddbabadcbdbdebbeacacdaccdaaebdacadcbaecddcbccaabebccedcaabbdaeebddadccaaabebcaeebbecddeacaeeecadadedaccbceccddeeedaccbccbbaeaebdcddcacacdceddcbedbbbecaeeeaebecdecbaacadeeacbadebcceeabcceabeebebdecaceebdbacbaccdbccbaddbdeabbbccaecababcbdebbeacddcabecbdddedccadcddacacbcebcedbdabeabeaebdabedcabaccaaebbdcdbedaeaccadaacddbdcedeacadcabcbeabdcddbbcbcbcdaddadeceeacadcdabedaaccdadaacdbebbcedcbdaacaebedacaadaeaacdcccbacbecebddcbcaeabdaedeceedaeaeaebebaaecdabedccabdadeeaebbcebaaceeeecbbaababcdeaabbdaecbeddebbcecbedcdeeddbcdbbaeaabaebcaeaedbbbedaedbecbbccdeecebbbbcdacaebbdcdcaeadcedbacaaeaadecdaedaadbbadcbedbabebaedeecddeebadecaebadababcdbbadacddbcdbadcbddadacbbbaabdaaeececddbcaebcbdbcaddbbacaeebbbeabbcababcceaabecccaddcecaebbcddcacdacaacaaababababaebdeedddeebcaaccacaaacccbcdcbddabdeecacacbbaceeadeabacaedeeedcdddaaedaeddcbcdbdceebbbcbeeacadcdecddee
+eecdeaaecceacecbedaadecacdbbeadcbaeacbccdeecbbbdcaeacebdaaedaecbbbdaeabdacdbaeeddabdcdabbbbbccdcdbbeedacadaecceccccaceeedcceabaaedddbeddaededcedebbabcadcbcbedcdccdbdaeddcdcbbdcbddcdbcebeebacebcdbdbcedcecdcbccabebcacddddcdbcecdbbacabeccaacbceebdebcdceaccdbeddaccaaabdcbcbdeacdebaccbdeaedbededaadbcacaaaceecbaeebededbcecaaaaddeebcdcdbcdbebdceddccdcbddbeeeddaedeaeccdaeaaddedbaadbdeecabecccadeaabaeacdbdabaccccaeaadcddcaaeeaaaecabcbdaaaabedaccddddaabaccdadccbadeabaabdbbabaeebdbaeaabbaaaaeccbeaddbbedebaecdaaadeebabbeedddecebecbabbdeaacabbeeebcabcceceedaaeeeedadacbabecddbeecddeeedadbeabcdadbdabbeaaecbbcbbabacbbeddcebaeacccdaddccaedddbcedabdbcecaecdcceebcedaacdceeddedaaddccaadccbbcbbdadedcdbdadedadacebbbbebeebbcebeacbebdcdccdcbbaeaaedeaeacedaccbdbedadaacebdeadcdebeadaecadebcddcbeceaacdceadaceeecbdabbdabbadedbdbeacccdabaeccdebbbceaacebbadcdeabbbcccbcdcdabcaadbcaabebddadaceaadedabbadbdeecabdbabcedeebbadcebaebabddebdcbdbcdceabbbbaebcebeaddacbabaaaecadbcbccbacbbdcceaccabbaddebcceeeadaecceaceceeecaaccbcbccbdeeecccdbbaeccddddbeacaeadcddbcbedccaebeddcbcbaeebaaadacddbdbedecacceeeaaaeeaacadebeaaabedbdaadeebbaeedbcebedecbaabcdbecdbbacdcadeabaeeddddaceddaceeedacecabaceedceebadddbcecbcdbadacebccecddbeabbeabdabbbabedecddddeeabdddcdbbeeeceeaadbababecaaceebacebaaaadbdeaeaabcaadccacdbcedadcbadcccdbdcccbeecbdacecbedcdadbdbddeadbdbbbaddedbeebbcbcdbaaedadacaccebbbeacbbeeddddaaddabdbaacdbacaaabdebdaebbdaeedeedaeeebbaebcddaaabccbcabdbbaeededeecbbecaeccccebeebccdadadeeacbbdbacdeccadbceccdbbebecbeebdadecdeeaacaedbebaedecdebcecedcebdecdddededaedaebeddadaebecccbebccbcdadcaedcbbcabddaaacbebbdcdeabaeeaccebbcbeccaeacaaabcadbbeeabbcaceadecdcbbcdccbaedbcdbceedaadceedebcedbcddeadcedaebcbdbedebbdbcececbcaddcbaecadbbbcdccdcbaceeeccebabbcbaccaaccecdcadebedcedbdcabebadaeeeedaabebdedebadacdeaaaeecccbbacecbbabcedcaeeabbeccdadbaedeccbbbacddebceaeecbcbacbcedeebbcccebdedddbaddedbcceaeaaedeadccebaaeeadcaabcacedaecbdcccbedcccbdababebbbeacebcbeccaabcccabdcabccabacacccdadceebeadcbddbeccbbebcdceaaadccacecdbbbecdccceaddabddcbeddddcecccacdcacbdbecdadedeacbcecddedddabbedaeebcdedacbacebcaebdeadeecdcedcdbbecacddbbdecdbcabecaacacdeabbeceebdbbdbcdbdeacbcccdaeddcbdabeccdbcebbeeeceabdeaadbbeebeeaaeccdaecbbdcdcdabcbbedaedbaabccedacddaabebccedaacabcbdbcdcbbebbbbadbabcbcabcebbeecbedbebacbaddaccaeedbcaabccdddbdbbdadcdaaddbccedadcdccccbaeeccecbccedadeeebbadebeecabcbadebebbadbabcdecbbededccdbaeedaccaeacacdebecaeceeddabbcdedcbbdcddbeabeaccdadeeceabcabcabacaddaeaabdeeeddabbbdebaeeabddcacabccabbeadcccbebabeaaeecbacbabbbcedacccedbbeaadbecbcaaecaceebcdcdddaeeebadcbcddacadbeaccdbaeaabccacaaeeeebccbcbdeacdddcaabdbabdecaeedebddbaecacddbbcdbaddeaadbbebddecaabbcbaedceeccceedaeccacbedbdededddbaedcbcacedabdbbbbedceabdccbdeddddbecccdedaaacebaecccdeabaeddcddadeacddcdbecdbdaaabdbadbdabcdbbbaddddadddbbacebadcaccabcdddaddbeeebdcdcdeadcaeedeacebdbddecbbbdcdaececceceddeceebcababdadbcdccbabdcacbaeaaabbeaaddaeaabbcadaabebbeaddcaeedaeacebcdadecebdcabbcdbadaabbbeadeadacdaeebddbcccabdbaadecabbbeebabeccbccdbddcdcceceadeacdbacecaaabebacbddabaabaadcdebeccccbdeadedbcacbccecdbaecebdddcbceeddbdeacecebcccececaadeddbdccdeacdcaadcdaececbcdbdbbadbddebceeabbcccadaaaccdeedcecdacbebbcdcceddadcaeacdaddececebacaeabeeeeeceadedcdeebdebebbddcbdaededbeeeeeddbaaabadeadcebabdeccadaabebceddcbdadaabdbeddedeabbeddddacccaeebbdebecdcaaaabeccbebbbaeeddcbaeeabcbddadaebaebedbbdbdeacbbdbcecaebebaacacedcaeedbbedeacecbcacebeacbcabbacbabedeeadaadaacadbcedbdeacbeabcbbececbaaacbaaceedbbbdbceebdcdaccabcdcbdcccacccccabeceaccaaedcdabedbceabedebcabdcbcaeadcdbcaadeaccebdcaecdbecbcdbbecaedeceaadcbedbdccabbbdbdbaabdcddeaddedcecdddeacbaaaabedbeadbcbceedaeedaccccebddacdccbeeeecdbdebbcccedaeacedacdcabeadabeeddeaeccaaacdcbbcccbcbaeabaabbeedcbaeeceecdaabddbbbacdcdbeaebdeeebceecdebcdabadadaaccddadbeeecebaceeeeeedaeedaacabaaadeeeddcbaccadecadceacceadedcaebeecccdecbaacbeedabadeadeecebddacaacdbdadeedeeaeabddbdceddccbbbacceeebbebabdaacbdadceacdbacccaecdcbedabbdbbddcceacbdbbddcddcbdaebddadccccbdbdbceedcdcaebbbbddeadbaddcadecaeccaebadbaabbeccbadcccabeeabcbcbcabedccdbedeaacaacdeaabadabbdddcaadbdcaabbcaaeddbcbbedbbdabccdccdccedcadedecbececddbbdedacaaecceeabecbcebbbaddcaeccbdbcbcbcbcedeccebbadeacbadeaabebecbeaeebaebddbddacbebcaaaacbcdbeccedbbbdedbaccdbacebedccdddbabbcaccacddecbcbeabcebadcdedeceadbbceaeaedeecbcbcecccdddabdbcbcacaeabdacdeceeaaabacedabccaabdabcdbbabdcdaaeccadaaeadaaeadccceedaedccbdbdceaededccbbcbbbceadccddbbaeccdbddccddddbabdddcdcdbacdededdebecedbbeabaedbbecabdeddeabceedbacedeaddecbcdacdceeecbcbcddcadbaebaddabceedcabcdaaaccdcbdeebeedbaaaabbeaebdcedcabbedbcdaabddeddaaeaddacaaceecddeaeabdccacaceeecbedaddededaeabcbeeaddbecbcbacbdbcdabdceacaadbedeeaebbddadeacccacaaeebcbbaedadaedddadedcbbbaeabaeaccacdcbaadedabccaddcaabbdcadebbabbadeabadedddcbeeeaaedccdedcbdddcacddeaadacbeaeaccbeabdcbccebbdacccbebaaceedabceceaeedddacadeeeeecaeaeedbbadadbcaabbdddbbeadaebccabeabababcbbecbdbabacdcdabbcabccdcaaecbdabacddbdedcdaedeacedbeebdeedceddddbadabcbbeeeeebdacbdaaccbaebeeccecbebeaddddabdaceaebcaaabcccaebedeceacacabaecdcbdcecdaaebedeaaaddbcdcdbdcbeabeccabcceeeaaaccedaaadcebbeccbdcbedddadabbecdbecdcbeeaadedabbeeaecedbeadeccbbabdadacbcbadaabdceaecadcdacedceaeddedebededecdcaeecdbdedcdeceaedecacbbaddbedecedeeacbdeaecbedeedbbcbbadaaebdedabeddbebcdabaeebbbdaedbbeebbbccbecbeaabcbeeddeeebbdeabbaeccaeeddbaeeeaddababbbabcbcaaaedededbeeabebcdccddcbabdebdebdbecaaaecaabbcdbaddbdbbbdedabcbacddaccadbbecbbdbbcecebceedcecabadcceaedabeabcebedeaeebdceeadecdbaadcabdbeeacacaacdcbbeaccbacdabdaaececddcdcedddbbedccedbcddbeeacceecedceaaabcbbdaeedeeadcbdbaddbebdaaadaadadbcdebdeebedacaeedcbcbcdddbedeedbdadccedebdbbbbbbbbaccccabaecdcdeeedccebecaaccbadeeeadcebccadeabdceedbbbdbdcecdcdacaadbcbecaebcedceddaedabcccecdacdcacbbecdacabecbcddccbcaededaebaebddbddcbcbbcaebcdeaddaacddedbbdadcabedbbbdcceaacbeececcccebeddabbbeeaacaadedaabdccdcbdccabbeeadaabcdcdadabddcbbebdaacbedbecbcbadcccabccebacdcddeacabaaddecbaadceeadbeaecebccbaabdbeaaeddcddedbdceaccbcacabbcaaeceaeeabddbacabdaacbcbaebeaeaebaddbbabddaeebbdabeabadbcbaaecdecabcdacacbabdcdbcabedcaeadeeaecbcdeacaecdecbaacbccbdbcaacbeacbacbecdaaaeedccaccaaececdbcdbdababaedaccbecbcddacaeabcecbbccabaeebbdcecbdadaebccbdaeddcacebbcecabbbccedaabaabecdedecccdceedaeceabacdaeeaddeeecaadcdbbdeeceaaaececbbeaaaeeeaeadadbaaadaccddabcdbcaaacbaeecbbddbacbdceeecbebedeacddbaebdcbdddaebaaeaabbdababddcdaacedcdabddc
+aeeceadadbccddbcdbdbcecdcedaacdbdccbddedcddceccceaebecdaabbcebbcbaaabcedadabdaeccbbacebbdcccbdeadeccebdeeeededcdbeaedaedcdebdabdbdaddcedcdabcaacdedddecbaccbeeeeceeedbedcbeedcbcddadeceaddcddbccaadddeabccceeeddccddbbbcdbbeceadadbabedaeabecaeeebbdaaededcabdbaebdbabbedabeecadadebceadadddebdbdeacacecdeecccadbdcaaedbbbbaabcdccdacdcdeabaedaadabaeecccaaeadceaabebcbeebecaedbbaaceaabaccdabdeecaebbaccbbacaabddccbdabaaaeddcaeaebcaaebbbedabcbdabedabbabeaacdbecddbeadadccadabddadabaeeacedaeeecacdaaabbbdbbeceecebaeddbbbddcabadaeeacbabaeeaeedbcdceaeedbaaeecaddeabddbdbdbccededbecaceacbecdceeedaccbeaabedcededaaabebaeaeddbacbdaecabacbaabaabaaedcdbdcedcdddeadaeecceddeabaedceeacaadcdcebdaabeeebdecadaddcdaecebedaebddbdaccaaccadedbeebcebcaeadbececeeeeacbaaeaaddcacdaeeabbeedebdbaccbcdbdbbabeeeeceebbeccbbcecbaebeabbeccbbbbeaaaeedecedaebaccbabcbcbbacabbeadcaeccbdebcebacbbbeceebcaaedbdadcaaacdceadacceebeedaecceaeacacabdbcaabecddcccdddedcdcaadccdcceccedbdcebdcbbdecdccdcdccabdacbbaecbcaccbabcdababaddabdccdccbbaabdcddeeaaaccdddaebebcebaaabdbbbeecbdccddeaadabbecdcecebdeaabcacaccabbdbeedabccddcbbbcccdcedcedceeaebbaadcddeeaeadcbdbaedcadbdacebdbcabedcdceeecaddbbbdccabdbeadaedbbdaabdaebbbcdddcbaaeaaeabbdaaabbeccccbcacbaeaedacaaabbeedaddebccbdebebdaddaaaeacdadcbceceddcaeacccdcebdaaaaaabaddaabceadcbeceadddacddddcbabadbcadaebacecaeabadaaebeaeaadbeabdccbecbcaaedbbcdbdcceeacabbbcdaccbbdeeecaecebdddabbcdabadbacdeadaaabcedaccdcdbdeeabaebaacdaaeebdecbaaceaecacabbcecabbdbdcaaedceadbdbaeecdececeacddbabcdeceacedeedcdbbedbaedeeacdddeecaddceadececeeeedeebbddcaddbdccbdcdcadeacdbcedeaaebcaebdddaaadaebdbcdaadeaeabeaebabeccdceebeebbcceecebebecdeddeceeebdbbaeadbdaeceaecebdcedbeaeadedbeacbadcddebbebdddbdceeadccaedbbacbcedaaddceacdeadaadcbcaadaedbdedaabecdacaeaaddbcadcacdeaebcbceecacccbbbdeaadcbcbdecdeedacacaadbbcdcebeceeabcbedacecaedabbeacddbaacdadababeebeccaacaeebedcdacabdedeccebbabbeadaeabdcbcddbbbbacacbaaabaaabeeeaceeeebdeeebddbbedddaaaeaabeaaaaecaeebaaebceadeeadbccbdbcbdcedcbceeedabdecbcccadbabeacadbbceddbcdeecbcabbeeccecbccceeabeceaaeaeddebadbebebbbbbcecdedbddadcdcedeaddceacdaedebcadaacecadacdadaeaeaeeddbdcebdcecdabadeedacdbdcaccedaaabdabadceddbaccdbdaeeabebddbdbbdecadcebaaabebdadbedeadebbbeeecdbbbccdccaeabbbaedaeecbccdeeaccaeebddeaadeceeedecdedbeeaebbbbabdcccbaecaecddaeadabdeaaaccddeaadaabbccbaccaedcbebcadceacebeacaddcaeaeceabeeaeaecdaebacebbeeadabdaeccbccddebcdceeaccdbbbadabdcdeaeceadcbcadedbadbaeaabedccaecccccdaeaeeababeadbcddbdeddcccdaadaebeeacaedecccdddcadcedebebaeeedaaccbacddceddaebedccbcbecacbdbcaadeebedcecbddacbceedebacdaccaabccbdeebbddacebaeaecbabcdbeaebdbaaeceeeebecdcaaecccdcaddbebdacbdceaeeaaecdcddeabedbeeaabebecacbeaedddacebeabcbcbccddbedbbeddeabcceababddcbdccedbaeecdacaecbeddbbdcebabcebebaaedbbebdddcdcbdbeddcaaaacbccaedeebbaaaaddcdebbdeecceaaabaecddbbbcdedaaeaccaadbadccabadcabcaceedabedabbbddbbcadbedeeccdcdeeaddabeebebeaceacebceeaaeeccbacaeeaaceaedaaecaccebcdcebeeeeeeebccddccbdeccbeeaaaaebdedeeaacddbaacadecdbdaeaddedbacaaccadedbacccbaaebebaebbbeedaedabaababbdbbeabedceeaabeabaaaaadbccbeeccddbebdadbdeacdcaebdcbceebecedcbceabdadbcabaacdbaacbdeeecabdeeadbaebcbacaeaebbdddecdbabbcbabbeaeabbeabaccbecbccadccbbcaacccadbeeaeeabeaacbcadcdaabecdcbaadaaedbbdcdcaeeacdaaabaaebbbbbcceaeeecaedddacbecacadaebaceadcccceeaddaacddcaedccdaaaaaaeaacabbcecddbbaaacceaadccbeccbdcbeeacdaacdaabdaabccdbbcddbabeadbaebcbacebcaeebddbeccecececedbdabeaaebeacebbeaeeacabddebdbbadeaeeacdaddaabddcaaaecacbeccacdaebccbaccaadbaccdecbdacddaedddecdcecbcbbceaceaddebacccdcbcbecceeecbcceccbdecbacbecccaddddeabacabaebdacdadbdebeabbdeededeecbdebbbdaddaddeceabacbecbbabedcbdeecdcadcbccddbedddaeeaeecbeeeaebbcccbeabadedcedeebeadeabbbedbabaabdbeaaabcdbeadaeabbbcbdacddebebbebbadcaabeaaecdeacbbaaeebbdeecbbcecaadaeddbdadeecabbbbdcdddecbbdaaecebddbceaaebdaaabeadcbceeeedbbbaedcddcdeaadeadcacadcdaabaccccccdccdcceaabcdeebaecaeddcddaaacebbddcdccacaecedcceddcdbdbbbacddaccdadcabaceebbceadceebecdadcbedaceabcdcdeaeddaaadecbbecdbeecbbcbeecdcdcececbedabeddcdaccbacbdbebbecacdecddeacbaeabedcdaccbbabbdddaaaabccbecbdbaecaabdddeddbedacdeadacccbaedccbcadcbdcaacdebabbbdecbcdcaceaddbdeeaadbeabbedbbbecadbdbcbebbbabeadedacecdbebecebeccdaecaaeeaddbddcccaabbbcbbabdeceabecabbebceccdceaaaeedcdaecddcdacaeedcdeecdebcbcbcacacccabebebacebcbebcbadbdaceedededaaeaacdcdebdaacbeaddebabecdbcbcbecbdcebabaedecabcecbabbaeeacdcbedcdbbccbaaadabbceedaadaccaaabadecebbadedecedcecbbcacacddaabddcdacbabaacdcbedbeeabaebbeddbbdebbaeecdbabedddaeacacadaacabccaddadbcddcaaacdabecceaccebcceceddbebaaaacdddbbcadaabddeacbdbbedabdecbcbcaaaeecbccacdbacdbdcaabbedbecbbdccccaadcebdedeeaeeccbdaababddeeeecdedaeababbaaebaecdaddddbcaaacbdabedccdecddcbbadddadbcdddcaebcdadaddaaaababcbedbbbaaebccbcaecdeeeeedeaddbbeeecedebadadbeebabcceaeabdadaebdecaabcdcdadecdaeecddceabcddcbecebaaacaccdcadeddaddabbeeecdbdcbbecbceecdcbeacaadebcddeaabccacbadabbaaebccbecbcccbcccedcdabececbddaceccabcdecccbcaeaabdcdbdeabdaabdddcddaaadbdaaaadabeccaceebbebceccdbbcadbebadabcbbbebcaecceeeabaadebadbaeddbdeebacaecaaceeaeedbdedbdbcedbeacdbcaddbedecedcadebbaebdbdabbadebabebbadbddadcbaadecbcccddcdebebccdacddbeebbeebdbbcbdebdddecacbbcabbcbabbecdbedbbebeaaeebeecccabeddeecaaddabcdeddbdeaadbdabbabeeeccedcceecebccaceeacecacaedaeeecbcebddabacacbaeecbeabeacdedaeddccbadcebdaadeddcecadcbbcadcabeeecdbcbcebdcdbecdebcaeddcddcddbedecedbdbddbabdcdbacaeaddbddbbadceaeeeaabcbbacbcebcddbadbbdaadddaacdcddacdaceaadaddecbebbbaacbecbbcebdadccebdbebbcadcccaeccedddecdeebaeacccbdeabbbccdaacedcaebcdbabaecbadbeabcddeadacdadebdcddeccbaabcddaaeedbdaedcddaadeecabbabbadebdbddeccebabdaebacbccbccddecbdbbeeebddeabaeeabaadbedbcddbadecdbabdebdceedeeeedaabebaddeeaaacbbaaacddcbaeadbccecabebdecadaebcaaaadacacebdbaddbeeaacdccdbcedaabaeeaaacecbbaabacdbedbdceabeadaadeeecebadbaebaaceaacbbdbeebbabadcabcabedbddbbedbaecdabbbacbcdeadacaeabaaeddbdcccbbcbbddcbedcbcbdeecadcbbbcbddcedcdaececabdaabbadecabeecbccdcdeaaddcdcebdbaccbeccabccdabedbedeeeddeddadeabdcccecadccceecccdbccdcaaeeddbbacdbdaebacdecdeedabeabeccdcccecbadedeaaececcbddcdeeaeaadbddcbcebdecbcacaaaaaadacbeeabedddbebbebbdbedcbeabcebacccbddaeedbdbadedbceacdecaddbaedeaecabdbbacbaebeaeeeaaecbeecbabeccbcaacabdbdddedbdaacaeedbebacaacbbdcdccaaebbdcedeeebcdaaababdaeebcddaddaabedcccbbccdcebadbeeeeeccdcbdabbdaabeecdcccaadcecccceebddaeedeccbaeddaaedaeaeddcbebeeccbabcbeaaedecaeeacaecdebcacedeadceaececcdceaebeeccccbbadabbddbedcabbadcdacbadeadaceecceeebdeddabbbbcbacceedaccacdacdebccbbccaaccaebdcdedbddcacbacdacdaeabdeccbbecabaaceeaacabcecebcbeccebbbddacdbceebdabcaeabbccdbedddadacaabbaedcadbbeccbdddecedeedecacddedbaaddaeedcaabcebbdadeebbeecadbedcccbdaacdaaaadeecdcebaebdaecedacedcddadadddaedeebcbecddeaadeeeddcdbbbdbdacabaaaddbeceddcdbcabadbabdddbadebbaaababaababaecdabcdbaadbedebaeeebeacdceeadcbabcebdbaacaacbeeaaadbbcedcdcbcdaabadaababdeebecdcdcbdaaaabbdeeebedbcbcebbccedbadbecebdcaeebbdbeceadaeacacdaeceabcceecacbbdeedbdeabdbceecdadbbebdbdbcdbbeedacaceccaeeeacbeadbcccbccaaeebcdadbccecdcecdeebccdecdbcaeecdceadaabdbdcceeeccbbccbcbbddacaacbcbdabeaddecbabedddbdbcedabbdacceebcecadabbceaddadacdccdabbdbdbababdacedaabbcaedbedecbdbcdacebadeedaedbccedacdedcecbbedeaaacabaeeaaebdcdcbbeccedeacdaedddcacbaaaeeebcaaedeccaeeaceaadcbedaeedaccadedaacabaedcdaceabaabdebaeaeedccbaaadddbaadadcbacecccdbdcbecedddeaddddbcbeadababedcecaceedbaccbcbeececbdbeabddebaaebacadbecaadecaaddcedbebdacedbbabbcbacccdeacaeaacebcdeadbdabdbbaeedbcddbbddabedcebcdeeccaceddbdbacbabddcddbeaaeabbacedecdecaeddeeddebababcbedaccbcbcaeebaddeddeeececaabbdaebdbcacceacaaaceeebdcbaacceaddbcdacccdaccebebcabbcbcbbedadbebcdbbebeadaedabedaedeaedaaddadccacddbbbaddadaaabaaeadadedaaabeacbcbbbacdccaccbccdbccaacbccdadaeddccaeaecceedbbdcbbbaceaacdbaadaacedaaacdecccdcdabbdecdccdabdeeeaceaedcaecdaebdeabdcdacedeccabedddeeeaddccbbebcdcdeaaccebbbdecdbeecaebddadaeccdbceceedebbdabbdcbdcceeeadabbedcbbdaececcaebddbcacccabecaaeedbbcabeadcaddcdadaedceadaaebecbcccaaaabeebbdbcddbbdedadecebbccebdbecdadcbdeeaccbbeecbeeaaedeadaecadcccddaacceaaadbccbdbeeaedbececddeebbaebadcaaecaadbebcdbeaebbdcbdecabbdcbbbedecaceaaabbebdeaaeaacccedbdaddcedbddecbaadaedddcdeecbedebebecbeaabddebcbcddbebabcddeaaebaabbecabcddbaebceacbcbaeadcaeabbcceeacbbbdddbaaaddbcaedeabdbdcaeddceeeadcccceeedcaabbdadaedbceeebadaedbceceeabaaabccadeacbccedbceecdbacbcdaabeedcbbbeacedacdbcebcdabcdbacaedaaaadaaabbceebbccbceacecaeceadbaeadabaeaadcecaaecbceacaeadadeedcdbeddbcbeecbbecbcbbeaabdeeabaecbadacacbadddccdaaedceddaacbdedaacabeedaacaddbcedeecaaeaecbbaccbdcdaedeebedcdeddcecbeddaacaedcbaeccdbcdbecdedaeddcdbbcdbbeecedcbaeebdadedcbbbadebceedaedcdcadebdbadcabebbaaeadeededbacdcadbacdddeaebccebecbeaceddebaeabcebadeabbdeedcebcdabceccbebaadbacceecddbbbeeebcabecaeeaeeeebbacbeadbabbaacacebdabbcbddbdecdaabddabebadedaedcabbdeacdccddebaedbcddbeddddcadccaccaaedabbdccdbabbeaabaebbaadaeeccbecdddaaedecaebbeabebdaceddbcdcecbaaddbbbbacbbbcdebddbdcedaededbbddcebbaddcaaebdbcacdbaceecceecbcdcdedaebdaceebdceaaccecaaeddaadeb
+adccdecaadcccddeaeceedcadbccdbddeadbaeddbceeccdeaaabaddbddbdecceebbdecaacbcabeadceaadccebdbaebcdbccebcdcdbbeceaabbecbbbdaacbeacebeaaceabeddacbbeaddcedadcdddbdbcbaaaaeabedbabebbddccebcbaadcadceabeccbdbceaadbedddacccababcdbddeaacebeebbadcdddadebcbbdcbeebccdcbdcebbabcbaecdbcdcacbaacbdebebcbdacebbcdcbbecdbbbbebecbcadbccbdbcabacbcbddedacdddcbadaaabceadebceeaeadceebabdceadcecbabbbcdecedbaaecadadbdecbebdaaabadaeaceebeeddacaceeaaaebdcdcbcccabaecbaacbcdeaaabadaaabdcceedbabebaaedbaedaabccebeececcbdbddcbddcaaaadcedcaeacdcedcebebacdeebeacebbedbacbcbabbcaaadbedddacaeaebcbbaacbddddddbdbceccbbabedbdbbccbbdaccbbcbccaaedaeadbbbdbaadcaeedbdcdaaabacbbbceaeaabeeeecaadaaceeccbaecbbddbdcaeeaacceebdbbaeddedebdbaeccdadddbebeddebbcdedbeedbabedbdaebeeebecaecacdcdbebcadbdeaeadeecdbdabaeeddacdbcecbcdaebccdeabeebabadcecbbccbaebacdcdeddacbcaccbceccceaddbbcbedccadbeabbeaabbddbdadceeaadadccdeaeeeeeddaaedbdbddeeadbdcedddabcdbbcaaabeeacdebaeeddbebceddbedacceeedeeaecaebecbeccedadbdeeecbbaabadecedaaecaaecddbdabddacadebcedeedbbacceedacbddaaebabdcecadaeecaaeccaccaacddccdababcdadacdeadccaadebbbaaadceabccddcecaccaedbedceaddeedabccddbecaceaccadebeaeacdddacbabeeabbceabccbcbdceeeaddddeccaadecadaeccbababbbcaaadeadcdbcaeebbdabcceadaacebecedbcebbdccbbcaaddacbaebcddcaebbdbdededcabcaacabeccacdadaacaaccbeaaacbeebaabcdeccecceaeacebbadcdbdbecdcadaadbceccdbddbdbbbdaeacacbaedbbcebcaaacaecbcbdccceacabacbcbeeebdbcadebbdebecedaceaeeccceddadbadeeadaaedccebedebcbaeadaddecaceebacdaeabbdaaddcdabaadcdacedbedcababcadbbedaabdbaedbbbddbdbcedcbbcccdaeeecbdddaddebaabaabcbcabddeecedcbbeaacdcebdbeaaebdcddbecabadabcbaecddcbcaeeebceeddabcbeeabdeebdaaccccccbcaeeddcbeadabdeddeaaaccbccbbdacdceaccbddbdebcddaceadcbbabdcabdeaddedccbbedaaccaabdcdebabceddaaabddaadeaedeecbbaaabdcebbaacaedbcdcddecbeeabcabbccadaddbcdcaeadeabbacdddbaaeeeebbcbdbdceeeaeabdadedddadacdcdbeabeeaecbdabaeccabbaeeedaabcdbeaedbdbdaabbdccaaaaaeeebcddcbcddcccaaaacaaaaaaaddedebcbccadcabdebbbebeacdcaaccbabeceeabcdbbacebeaddbbedccaaeca
+bcedaaedacaedeaddeadbadadbadacabdedebddcbdbeeebcaacdbadbccaabcbaaabebeadabccbababadabeebdbedcceeabeaabcbdcabedaebdcceddcbacacaaadecebdbacacdaccbeabbceebdbbceedaacaebabdaebebaadeedcdadbabcbeadddaccdaebcdbcddbcbaccbdebbbcbbacebdcacaabebbdeedcabdcdeceacdebdecabcdccdaccaccceabcabaeeaedeedcaeaeeebaaabeabdddacbbabdcdadebceaecdeeaedbdaaaddbdabecbecbbbaecabeabcacdbcddadadcdadcdabdbbcbaabdbbeecbcaabbdadbbdaaaddbbdaaabdebeddededadcdaedadebebeabdcbbedaabedcddeadacbeceeaedabedbdecebcedabbcdabcbbeaeebdcdcebabdecacbeaedececeebddaecccacabaacacbedeababdaeebcdeccbadacbbbbdedcadbcedeceedbdbaacababaacbaaecdecbbedddcccbbebdacdcceebbdbeeedcbdddbceccadacdeccadaabeedcebbcdeabbebebacbcaedcedbbeabdbaeccdcbcdeaaadaeedacebebaddccaabaaaabdcbbbddbbbaadcbcbcbedccdababeabbdddeeaeeeccabaeacdaebbeaaadcdadbaaaededcbadcaaabebecdbadcaaecdccaecadcbdceaededebcaadadcaaeddaabccaaeccdcacdddecbddabbbceccaebbacedeccbdecdebadcebccbbbdecaeeccabeaecaabadebacdebaaeedcabbddaacbbbadeebbbaaeeceacbceebcdacdeeaaddbaeaeceadecaacaeccedaabeabcbcbabeddddaaddceccccddaedbaddddacceeeacdceecceabeaceddabbccccbcdeceacacaeedbbbbebedcaaccedacbbbcbaccbdebcceebaabdcacbdddadbacdbbcebcdadcaadbadbeedbeedbeccbceabdeaadccbeddbeeccaceeaceedbcbedaceabdadbbadcdcdcadaacbedeeecdbcdbaebcdceeaccbbcedcaedcdddcaeeeccbdadbadecbdccddbcedcbcceecddbacbbcebdcdabaeccdceacbeadcbeccbeedeaeabedbaabbecbdccbedadcdadbadbabebbdcdaedccaaecbccaaebcdabcbdacbecdccabcbbacececcdaebbddceacaaadceaabebdaaeedcaddedbebececdecbcedaacdbdbdcbeacababeecbbcdcdcabddeecaeceaceadebdeedaecadadcdcddeacbacddceaedeacabbccbeeebdebbbeadabbedabdbcebaacbbcdbedadcadbddcdebcdaaadceacebbbacbcecabedbebadcdcaaddcceecbdaeececbcdadeaddaaddcdcebcbcebececdcbeccceaeaeedcdabbdebadcdbbcaedbcdecdaeaecdedabaeadadbaaacaceddcbdedaeacacbeaebcbcdcceacdacadeeceddedeadbdcaeddeadbeacccdcdaebeadbcdbeebaeaaeecdeeedbeeaedeaabcdaeceacccbeaecbbedcbecacbbecaecbcccdbaeeccecadedbedeecadacaecddececababdbcaebcbababdbeeaeaedbddeadeddbddecacddcbeacacddcedddbcccceabeaadebbceaabcbedcaeaccbcbbabccacbdbdadeacdccbddbdeeaaecedadcdddba
+abbaeacebecbaaadadccabcbbcdcdaaecdcebcaceccbbbdbeeccbbcbcacabdadbdbaecbbbcbacabdaaeaeaceabcddccaeeeaeddbaabdaeadeedcecbdeeebadbdbddebcebcbadddddccbcaebaccbeaeecdcaebdeeecdbbecccaabbabedaabdedcbeecedacbdccaababdcaaadcebabcbaacbdcdececbddeaeddbbdbcbbbebdbadeebaadbdaedeeaaabbedeebebcacbadaeacdabcdcbbddbddbdececccdcedacaacaddcdcbadaeeaacaabbcdeacebecbbeaeacdcbecaabbcebcacdeaeedddbdbaadbecbbcdeddcadcbaecccccdadaedccadddabdaaadcbdecbebdecdbbcdadbeecacebcaaebbdaacecbbceacdbbbcecacacaebbaaceaddeddacaeedcdceeaebdaccbbaabadabedbbabbaebbcceeebbaaccbbedbcdbcbacccaeddedaaccccaaaeeccbbcecddebcbcecabaaadeccceadddeeadceccbaedacccaeacbadbdccccdcaedaaecdbdbdeeabbadecadaabaeebecdeaeedebeaeacebddabccdbdadbbeeacceceebccabedbbacaccbbddbcaeedecacebeaeeaabbcdddcabbbacbadbeabdccbaddbcdbacebadaddbbceecdeeabbeabeeacecdadcacceccacdbbceeccecadecabaaaaebaeabdcbcaeedbbbececadbedcdbbdcdddaaacbddeebccacabdeedddddcbbcdbbddbaeeeeccbabccbadecdcbbcaaaddcdbcaacdccadabadccbbeaebebaddcdddecdaadddaadcabcbceadbccbcabbacbdcceecacccbbdadedecabbecceaaaababaeaeeaacccdbebbcadadaebacebdcdbbedecddeebceecedbadddcacecdceeedcdaddaabdbbbecabaecccdebaedeedeacababbcccbaecdbaaabbdaaeaaaacebdacebbaebaecbcacdcaabbcddccabeadabdcdacbeebabacbabdcebbeddaecabeeebdcacddeeceedebabceececdaabdcddcedaeacdebadacedacdacacceeebceedebebbcbeeaebbeadbedacaccacdeaacacdeaecdecbcecccacdaadaadeacaccecccbbdeeabdbedceaacebaaedcbeddebdeedaebaaaebacadbeebdcccabeceaabedbebebbdbddaebdbdcebbdebecbccdbaaeddcdebabbedcccdbccaaceeadcdeadcadcdbdceabbcddeebaceeeeaeabadacbeccabeaedebeaecacddccaaebadbadcabeabaeaabcbcadedbadbebaacebddbacccbedbdedcaaacecbbedceaddbdbddcdddbdabaeaaccbbadaaeecebddadadabddbdceebedbacaedbcaaacabadbebebbbabddecdacdaddbdadbebcdedadcebedbecdddedadbcdaadbeaaaacaacccebddacccbddcddcdcbeadebaabacabcdedbeddaedcceebbdcaadaaddaaedadecdbeaadbecebcbaacaaacecadccdeabcaabaacabaedeaebccbaecebcecabeedeeeedeabadacdcddadbcbcadadbddeebcddeeadbcbaedddbecbddbbaccaaeeddeddbbabdcbbbebaccdebdebeedccecdcacebdbdcddedececdeabddbbdaceebeabcdccccecacbeedbdcabaddadeaeeebbabcbbbdbdcecbecbddbceccaadaededaaaadbecdbadccbbcdaccaceedbecdebbdcebdaddeacdedacaacdccebcbbdbceabaeacdbbbcebaeddbadeaabecacbdbdacecbebabcdcaecebbaaedcdeeadbeeaabadebbbcccebaddecccbcdeaaadbdabdeddeaebccdedbabeadbebebeaaaceaadccdeceaebdcbeeecdcdbbceacbedcdbdacadccaddcdeacebedcadceeebcbeaabdcddbbcadbedeccedaaaaaeedbaabccbdedaccecddeacdebabaddabeaacbcdeacddcabeacacdddadbaccdcddacddbdbcccdbbeadcbcebaaabddcdbebdbeeddcabebbcacedabcbdbabbbcecbecaabececbcbbcacebcdaececabceadebabcdadecbddcabccbdedcdcebdcdcbeccbcacddabedeacabdeabcebbdbddddedbcaaacceaacdecbcbcbbecdebedcebedbdeddaeaddbbbadcbccccabccaadcabcaabeaaedadcecbcddeaededccdacbdddadaaaedabadadcadbdabaebacaddecddcccaedbecddeabbeaeedbcbccddabadecbbaeadeecaaedbededbbebdedeabebadbdeedbcedbacadebccbbcedbbeddcdbeccdadacadbaaeedbebccceacdaededddcdabbeedbbcdcdbeeccedadcdccdadececabebdddbdebaedcdddccabccecacceeecaccddceeaeacaaecadbcbbddaabeadaaaccabeecbbabaebdebadbdcdbaecccdeecbdebabaacedecdeabbeabeeebedaadccbabadebeddedceacaaaeceacbeddeadccbaddceaaeeccdabcedbbcceadcacdabddbdcdcaacbcceecbeeddacdccbeaedcbeacbaddaedcdbddecebcccbccdeaadebbcbeedceeddabaacdbadedddaddcbdbdabddddedcbdbdebeeeceabbedebcbbaabcacdebecbaadbebadbdcadcaeccdbcebaaaeaacabdbbacadcbccdccbcbcbaeecdeaadebecccdacddbdcccdccdbaaacecdeeccdededccbdeaeadbaabcddaddeccaabceddaddebedbaaeeaededdcdcdceadecbeaaaaaeedbdaebabccdbaedbabbdeccedcceeaecbdbedaecadabaeceaccdcebeacadccaaaaaaeabedebcbbcbddabaeabbbbaecadabcdaaedebdbcdedaadabcbaaedababcdaebceeeddcabddbaebaabdaedccdcabdecaebdeebaaaaaebabbdceeaeebeacadeddaedbadcecaeedbbeabddedccdaeacbdebcadabbedbbdcebbcddeaadedcbbcacbdccbccadacaceccbacaaeedadcdeccadcbeddaabcaecaaaabceacaeeaeabdbacaecbcabeeeeadbccbbcecbedbecbebeeeceddbaceabebaabcbedcbdadccbbbceadddbcbcdebcdbaacaeeeadbeabebedaeecedbccecbccdbacdebcabeadbdaddccccbbecddabbabbbcddbcbedeabebbceebebdacdadecdecaeeadddaddacecbeeeedbdaeccdaadecaaadaeccaebeeccecadedecacbdaebecdabcdbccebecbcabedcacabbabeedababdbbbcdbeaeebbdbecdadeeedbbedbaedbaeceabbcccceadbbdddebcbeebcbacdcdeaaeeadcdaaabeadeaabdbddebcacebdcbddeedbdaabaebdeabccccbcbeebabadaceceeeacdbddbbdbebceebeedeaadecbcedccdcdddecccaedadcebcdedabbdbeeccdcccdcedcdcccacabcabecceecbadcedbabceeaddbbcdedcabdadcdebaecaceeaccaadeeececcbaddbcbbbcceabebdabaaaeaadecaebedeaebaaceddecbccbebdbbdabbddceaeccbecabbbdcdddbbbbdebdbadaedddbbeecaeadaaceddbccaaccaadccebccdbcabbbddcaacbcabeacedcacacdaeccbbcbbbedbcdbebeaddaeacbbdbcadcdcbbaebdedeeddddeddceaebdcdaebdedcdddbcaabbddddcddaaedbdeceaccdbeaacedabccbbabbddaceeaeeceeacecaacecdccddbbedddceedcebbcaaeeadcdaaedcbebecddadbcdecaeaeeccaeecacabaeaacdbcdccecabbedbabbaccecebaddbdceedcaececeadceacbceeebaaedeeaebabbeabdbeadcaabedcbdabeabbdbbdabaadabbecbcdacbaddcdaceeeabddabecaaaeeeaadacdcddeacebeedcbabdbdbcbdbcedbbaaebebdeaaececdbacecebbdddcbaeeecbaaebabcbbeaedddddcaecaadccdaadebaaadacaeadbdaedcdebbbeedeeeaddadecdccdbaeecabaabdcbdcedceedadbbbedacdbacaccdebdbcebaccedececcdbbbcdcdeeeebddacbcbeadabaaeddddaaabceaebebbcaaeadbacbcdbbbddbadceccabbcccacabbdedaeecdbcebaaecdabbcddebcadccbdadcbbdaaeaebedbdbacaabecbeadbabedbecbeeceacccdebadacacaacecdbabbbccaeacdaabdaebdbabeaacadacaaddceaeecceccabbadebceacdbadccacecbdababebdbcaaddacedbdcdeadaaddecaecaaeadbddbcdbddebdedcadcbcdddddddcecdadcddadcaebabddccabdeaabccccdeabbbeecdcaddcdcedbcbcceedecaabadbdbdcdcaddbdeebceadabcdebbdeecbaeaeedabdcdcbcaecbbdacdaacdadccdaaceccdbcbecacecdaabedecadcbbaceaeebdaceddcaeecdedebedcecdadadaeebdddaacebdebdcacedaddbbeaedddcbaededababccebdabaeecbeeebceabaeecebccdcecbbdeaaebcdbdceccbedcdabcbbbacdcdccebecaeceecccdeddcaebeeadabeacaddabbedbaaddadaddabadeebeaaabebccbcadecbbcccbebdbcdeaaedbcdacdadbaeeecdbaacddbaebcebdccebececccdeecbebedadaddcecbdecebeceabecaeedccebbeccaacaddeebeebedcadebeddcaeadccdbeadeaeaecbaecdcdddbdcbacdaebeeaddabaadddaeedbbcaeeccdebcacecdeacdcbccbbacccaeaadddeedbcddbbdddadeddebaabbbbeabcbbaadddeeabacaecbdcddddeadccaebcbaaeeccccaccddebdaebccaccaddaeeccabedcaedabedcdebdedaeedbeeaeadacbaedeccaaadbccdbbeeadcbedecdecaecbbedbdcacdadcbedbeaeabecabbbacccacabdabdbaeeecbbdedccccadceeeadcdcaeecbebdebebdacbbadbebcedaaacdadbdacddbcaccadccbdcbdeaddeacacddbbcaeddebdcedcbdbeceadebedabadadabbddbedcbcbdadedddaaebceacdabbebeecacccaddaceaebbdccdecbbcaeedbdbddeaecbddebacacbeabacbdcadbdbcbcdcedcccacddcddcedabcbaccaccbcadcccaaaaaaeddddecbeccdccccaebebaddcadccdcccebbaabbccbeccccbdaebeecbacdeedeabaecdccaebabdededeecddecddbecbaaecbbacbbbccbabcacdadaddbbdbedceeddedaabdabddbecaedaceeaeaadecdcccacdbceadbaddbeecddaaeaebaeedbeaccabdbadaaedddcddabcbcdceecebbaadcbbdbbcbbaedeaadcbaadadcecbecbabdeadeddadbbdccceeceedeadeabacabdadcbcdbbcdcaabddbabdabadbddedbbdbaedcbdabbadbdaedcaebaddbcebdbeeeacdadacbdaaadcddedacacdadbadebacddccdddbdaaeaeaeccecebebaecccdeacedabeabbcdaecdcaaebdbdbbbccdeaadabddedeabaebbaaacaeceabeebbcddccdcbbbeaeabceedcebdecacebddcdceabbdcadacbcbddeddaecbdbabcbaaececbdcdbbaabcbceebedbadaddbcbeecdbdcacccaeadceaacbddbbbbeeeacebcdebbecceabdebddbdacaaeaeadddbadeacaaadbeccbbbdedaebbacddabacaddbbaeddbaabaaddbeccdecaceaacddadaaadacdceddcdbabccececaeacebeacaebbaedecbceaacbdcdbcadcbeacdddbdabeebeaedadacecceaedcbcbccedbeddbccecdcaccabcdcdacacddbeceacdcaacbeeabcdccccdcadabbadbcaadaddbabccbedbeedceecacbedabccddecabbdbaaabeacacbbbadbcdbbeeabedcbdcddeacaebeeebbddecdcddcbebebbbcddcdebbaaebeedccbbbbedcedbdaddaeccccaacccaadcbdbeaaceddebdddcdbcccdbbbcdededabccacababaecdbcbbaeeabcbaececedccacaddebbcaeebcaaeaddaadadaaaeaceeeebdcecadaccbeaeebedaaedadaedbbcdacbebebddbecdbcedbbbcccbbbcedbbcccbebadccccbedbebadcdebbeaadbbcaddbaaecbebbabadcaddcceebcdbaeddaceacdbdabcddbababaaedaddeceeacebaeecbcbabaccdeadadbecaeeeedcddcbbdcedeecadaaadccaddeccdabcabdbbcdbcbaaaceaccadcddaceaabcbabedaeaedaacccbdabaebcbbbacaaaabcbbacbdbdaaedbcbbeeeedbeabdaaaebcaebcbabdeaddeeebbcacbccddddcbbddcaccaceedadacebcecdcbddddabbadccaabceddacbbcaeaecaecdabbdaabedbdaecacdbdaaadcbedacedbebcecaadbbdadddcaaaeecbabcacddddebbaacedccbdcdbbccdadbeeddeebdbddceacdecceeecbbaebcdbbeccbdebadaedcaececeadddadaadbaddaadbcebcbcbcddaddbebecbdcdebaabedcbcdbebbccedbcddddccddabcbccacedbeccabcddabcceedaadbdcdadadcdeeedbbdeeceeecdacbddcdbdaadbcaabdeaedabaddeadedcbaeadbbcebdbeccddebdabcceeeccedebecdaaaaadbbcedaeadedaebdeeebacbdcacbddabeaccceabbdecebbbceddaabecdedceeeeccdaccbaccabdedacdbbcadeddbbaceabbbcbbdaabbeebebbbbcaabdedaddbeddedceabbcbdeeeedbcddabccbcbebecaebcdcbbbaebecdbaabbebcdaeddcacabeedebabdebccadeebbbededccaaccabcedaeadababeaebaeaaedeaacdebadaaaecbdaaacbeadddccbabecdebabcccbacebaebdbcbdebdcddecbdbadabccdbadbcdbecdccbaadbcabbeccabdeeacebcabdcacdccdebcbaacdebdccbabcadaabdadcaebdbbaeaaddeeeeddbbbdacaccbeecbeabbcebddcaadbdddedbcddcceaedddcebeeadbbbcdecdbbdeaaaccbbecabcbbbdaedccadaedaaeacdacbdeecccccaaddeeceaaabdcccbccadcecdeabdcbacdddbabdccbebdceadcebdccbaadddbedabecedeedaeddaababceecabedbcedddaeacbccabdbccbaebecadcabebaaaedddeaceeaeddbdedadebbcaeeebdbaddbbadecddceeeecccecaddbaeaaccbbecaabbdecbeebbaeddadebbbdebceadcbcbcaaddeeccbdebdeccaebeacddabddbedcecaddacabecdddcaedeadedabdddadebabbeabbcdedacbebedaceacdeeecbeededabcddacaccaebccbecbaeaedccacbdeeccecceeecdabeceaceddcaaebaeabdaceccadccceeaadadeadaaaabacaceaeaaecdcdbabeeaebecaabeedbecaeeadbdccababeccecbbebdbccbcaebaabacabbebaaebdbcedcbbdedacedcbecadacdedeaaeeeddbaeeadedebedbdbdceaabbbbdcdedddebbadaebaddadbdeceabcebcdbcdcdbcddbdadccadbdcbdcbaabbcdeaebbeaadabacbbddacaeabdccddbcbccacaedeaecedcaaebdbddddeedbdbdeccdeacdcebadecabadcecddccacaaededdcebdbedabecebbbdaedcbbcedbcbbcebeddd
+abeeccedaccedcacaedbbdbbbdbaeeababaddaedeeadacbcdaadccaaaccceabecdaebcbccdabaeadcbbccbbdddccacaccaaecbccdeabeacaaddeddabcebcabccbbbccbbdabdebbadddaaeadbdabacababddacadcacbbddeeceecededbdcdaebbdeadbbcedabbdedccdbbeebedadeabeabecaeeeedebebddaaddbbebdcbcadbaccedbbabbebabebaecaeecaebdeabccbbabdccceecbdecdecbedbdececadcadbbdeeeaeaaecaeeaabbecdcbdcaccdbbeabeeccaecaebdecabebaacedbaccdebdcdccdedbacebaaaeeceeeeaceeecccabeccecddadcddaacdbbadcdcebddbadadadcdedaacbbbaaacddeededababaedaeabcdabedbddabbdcbcbbbcdacccaeaedcdaadddbbceceaeeebceabebaaeccbbedebdadcaeaeeeeeaeddbaeebccaeaddddddaeaeaadcbcedaadccdaedcbaadadbabedcdbaadbebadbbebcecaecbbbeebdbdbbbbaadbedebabdddeadedaeceacdaaaacabdcbdeeabcbcdeedeebedaebadbbacdbadbbdcadeecbbedecabcebabeeaacbecbddaaeacdaadeaadbededcbcddcbbcbadccaadebbdccdbcbddcaadedbebcabacbaaacbadbccbdaebacaeaadcdeecacaaedaaaccbebccaaddabddbbcdbebedbccdddaecebdcdbcadcbabdaddeebdadebecccdbdccdcacbddcbcacaddcedbcaeeaaeddecdaceccedabedaadabbcdadeabaebbcaaddbecdaeeacdbaeebbbbddabedcdeeeeeeedcedccecaecceacddcbbbabeacdabbdccadddbeaebeaabcedcbecdcdceeacacdcceeceedddbeaceabceeecbceebeccdacbcababbebadecbcabeccadbbadddbedadedbebcaebaddbbcbdbecbdbacadccdccaaedbcdcddeeecbabdabdcbdedddcabdbcbbdcebdcbdedaeecbbbdceeaccceadbaddbaadbcaeacdeadadacbcccccbcddccabbdadbbdabaabceecababeeddbcebdaaabcbdbaeaebdacaebdcecebeaeacbcdaddacebbbcddcecabdbbebbbaaedddebabbcbbdeebeadbcbeeeebdceeaebbdabacececebceeabddcbcdbbcbbebbebeccdddeaccddcacccbccbeeeeaecdbbbdabceabbdcaeeeddadededceccebcebdccebadddaaacddbaebbbdbcbcbdcbaeacedabdeddebdceaeecedddebaceadcbdadaaeeebeaeaaecaeadbcddcddccbddcdeeabaacbcdbdbdceadeadabddcdaebedaaacedbdcdeebbdabebdaceeedbdcecececebbcdeddbdadbeecacbddcdbaceebcddcbceccaaccaaabedaedbbdadbadabdddbbcaadeadaecbcbbcaacaaaeceabdeebaceaabcacdeeaabcbdeadbbedcddbaeaadbeeccbeadcedccccbbabbaceddcecabcbebadceacceceabbaabbeceaeceabebddabcccdcadceacdbaadbbedbcdececabdaaaeaccbcbdbecccbcdcabbbadaabcddadeaceddabadeadabacabdaedabaadaabaabbabbeadcaccbabaeaadaeeccebbcbbecbabaacdbbccecabacedabdbadacdcbaebddcbebaaaeebabaadbaaaccaeccbadacdbacbddcaeeddaaedaceaaecbececeecdccdeaabcccdbeadbdcaaecdaaadcaaaeaedcdebbcddddbbccedbbdcbccecbeddcecaacbcdacceeadebedeeececbeacbcdeeeaccebcabbeaadbcaabbcbebabebaedabecbabbacddebeebaaebdddacbadadcabdbdccdbdbbabdadddbcbbeccccbcedbbcdaeaedcaadbbaaceeebaeebbacdbdadeebdebcaeebaabaebbbabcbcaccbcebedaabbcbacdbcbbabedcbacceccdeedddcadbaedeebecdebaceedeeaebdaeaddebdcbdabedccddccbcbaddadabbebdcdeaebdddddebbaeecdabcabdcaadccedcabccbabeadbaedcbdecbbedbcdebddcdbaaddbdeebeadadddbcdeaabacabdcbeececededcaaedeabddbceebddaaaaaecbcecabebeeeccacbceedecdbcdaebeebeceebbbdccbdeccedaddbdbaccddbccccccacceeccbbdeebbecddbcbcdcbababaacbadbdbecaaaeabcbdacadaebdddeaacebdddaebdcbcbaceaedacdcaccabaeaacabccabebcaebecacdddadadabedabedbbaadbcaadcaebccabddacadcddaedbacccbdccbdbedbceaceceaadbceebdaaaedecdbeaaedbadccdccaeadedcbbcdeecadcdbddcdeacbecdeecabbdbddbdbaeeedbbbcdbcabcebbcaeeebeedeebaceaaaeeadcaeaaaabedcbeeddaeaeeeeaecaebccbbabbeeebbddceabeeddccddecceacacbbdebdbbadbcacecaaebdbceedadeddbbddddaaedaaaaccdaebbcaabbbdbcabcaadeecceecacecbbeabdceaccdcbadcbabeebaedcedabdeaecbbdcaebdccedbaebabeccdeecbabedbbeaaedeaadbbbbcbabdaaeeaeaaddaababebedeaacdccdcaaeaaccbcbbebacbeecddecdcebcdccaaeceddbeddccaecaaebeecbbccbeedeebdbcabecaeeeccdcccbeaedccaddbbbcbbbbabdddcbbaadaecdabdcabddcdcaabddabebcbdddcadcadddacacbbcddbececbecaeaaedeebbdbbeaeedcceeaecaaabaedddbddebccbcedcaaaebaeabbadabadcbaeceddaabceddcedcabccccaddceaebbbdeabeceeececcddbeacaeaadcbceddaadbcbaecdceebabcbcebdabaceeedddaceeededddeeadaaaaedaeeceecedaedcddaadccdaebbbaccaaeebcabcadacdccebdeacabccdceaadcdcdcadbaabeaeccdaeedddaedbeaedededcabaceddbeedeabccacacebbcabedadcddeddcaedbceaaaaaaedacdaadecdcdccbcbaecccbedbbabebddbbcdddaabaacabaadaabadbdcdacddacacaaeaaabaedebecddbabbeabcdcdabbdaceadcccbaacacebcbdbcecdcdbadcebeabdccaeeccaabecaaaaeadbaabdbdcbdcadebecebaeaeacdcdbdacbeccedddbdeaaacedbdbdabdacebbbceacbceddccededcdbdcbedbacbcabbdabeaedceeaebacebcededeebcecebebaaaaedbbabbbcaaaeebbcbddedbbcbddbbbddcddeceeacacbbebcddadcdbcbeebebdeddeaeaaabccdcdeecbadacddeeebadcedddccbddececadccacddcbbbcececdbabaabdcaebbaebddebdeabebceabbcadbbeedcaacebeebaeaaabbbbabddaeecaedabdaeaaabecaacbcecbedecadccddacabebedadeaaaebcbacaedebccccdeaddcaeeecdaacdcbadacebacebabcecbaadecddcabbcaaaaddddeadbacbebabdcbebabbaeeedcbeaeaabbaedbebbeaaabacbcbeeabaadceccddcdbaddedeaebbcbdedcdcebcdddbecaddebbbabddebeeaceeceeacbccdbdedacadcdeebcebdccacdceaedcddabbbcccceeaceededbaabcbccdddddbcccbdddccceccdcdecdecaaaddebabadccbdcbcbcdcecbbbcadeaeccabdebabaeacaeddadcededddabeaacabbbedbeddcbdcdaabdbecbeebeedddbebddaeeeeeeeacdbdcacbdedccaacccccadabccbbdbaadecebaacdbddcbbaedacdecebcacbeeddddeedcdceccbddabdaaccaedabeeebacadcdcdabcabdcddbcdeddcbcaebebaccbdbaeeeedbadddcdcdabcbeacccdcaaaccaacbcdededaddaabdcbadadbcebdbcbabedecbedadaaacdacdecadeabcecadadccbaeaadedeadbebbdccacaabdeedcaeaccbdaaeebcebdcacbdabcbdbdbabeabadcdeecdbdbbcadaddccabecaddbdceabddadeaadadbdacddeedeeddcadbaebcabdbdbcdcdddbdebaeecaabaaaeaaeabbbccdcacdeabaebaabdcdedacdeedaaeedcddeddbeaddaddbbccacacaeadaadbbcbecdaecceddeeacccababeabbcaecdeeddcabacedeaaeaeacbeacbadebbedaaebdadbceaeadebbeecdbeecdcecbecbbbbbbceeddbbadcbdbcbccaddaeeadaecbadeddbbbdeedaeebeeadbcececddaaeaecdebabdeeadaddddcbadbeacbddbddaedddbbbeceebadbcedbebcecbbeeebdebcbcbdbdddedaecbdbcbbeaadabcdcbcaeebdbadabbabaccbdedceaaacdcedcaaaccaabacdbebddcbdcaabaebbcddecebeebadabcabdeeaddadcdeeddddcbcaebcedeabbabbaaaabbeccdbaeeaedbbdbecebbdbcceccdddcbebbaddbceeceeccaeeebdacbdcdcdbaeccdacbabdadadceeeaaaabbcbddacdbbecbbdeeeacebdaebdedddaabebeadcddeeababbcdaedbecbbaecdecddabaddcbedcbccdbcebaeadcbebbbeeebaddedadacededbdceebddbdebdbceddbbaadabcecdebaccdcbaceaadecdabaeaecdcededecabaeccddaaaaeaccdcdedbbdaccbeddbdedbbeacaecbaecbebaeaebadecaacdedbcdcdbdcdbddddbedbcababaecdbdaeccccbbcaccbbedbbbeccdacbcedbaacadbeacbdeaaaacadbbeddbaedeaaccecaddceedaabddecedacaabcbeababacdaedccedebedbbedaedddbecdceecddcedddacddcccddcdbebdcbbadadaebcbeeddaebbcaccbccadbadbbbdbbcadbccdccaaeaaceaeddbbeeeacccbddbbcdcbebdebeeababdcacebeecabdbcdbacebaecbbbbddbccecbbedebaaeddccaebeedaceddacadadeacaeaaccaecbdabeeeeaeedbcbaedcbbecededaaeedebdcececaaebecdccbebadaebbedaddaacaaabaabaabeabbbdbdabadaececdeaaccdacbcabcaecedcbdadcbdbcddbccadcecdeaccbcbdceaaebabeaaeccbebaedaebbadbecebcbadcdebeaddaaadacadacdeadcebaddebbaebdbeaadcdbeacdbbebcaeedaaaccabbccbdcbdcccedddeedabadbbeecbadbeededdebeccbbcbabdabecebcbcbeeaaaedebccbacdadcbabacdaccdcbcebaccbdebeaeadccabcaacaebecaeedaddcaaadbbadbbeaedeaaababcdcbeabebbbaeceacbdbdcccdaeeabbdbecddbbcccbdccabcbadddbceddbedddcbebbdcdcdceacdcbdcbebbdacdeaabdacdbecacbbcabbadeecddeedcacacecacdebbbeeeebedccabccadedebddaaedacceeeeaeadaeaedbaaaeaacdbdaeaaaabccceeeabbbeaaacecdecaebddeaeaaeadbabdceededabeaedcedcdeeacddebaebecdcccdeaaeadddbeaaedceabebbaaddeccccabbeaeccbeceaacdeedaeeedbedeadedaccbabebcaecbbeecceeebaadbcceaacebbaddbaabaeacabceeddaccadddeeceaceabdaddbcdaadadbaceebbbacceddbaebaedeabbababdeeddbdddbdcaacaeacdccdcbaadcdadaaadcddcdcceebcbcdedebeeaaddaddbccaccbccaddaccebbeebaedcdcadbaaddebbecacecddaeccddaabbecddedadddebcaabaaacbccccddcceecbbadeeedbebdeacbdddaeaddedeaebeadabcdbeccdbcbecabecacbbeabeecddbbdaacdbeeacacddcabebebeaeedbcadbebeccedebeceeeadcbedcababaecbedaaacceecbaccbacecadeebeeeebcceeccaabebaebedabbadecdcbebcbebceebebcedbcedcdebbede
+adbdebbaeddbacaadabcbbbceaaedccacbadaacccdedadbbecbacceeeccdaadebdeccebcbccabeecacbedceaaacdcddedcabcabeadcebcbaecaaabdeeaeceeeadceebacaeaadbdecaebbdedaeadbaaabccaeeaabebcaccccecabdacbdceaabceabdebbddebdecbbbebbeebbdddeaaaaebeecedaeebcebeeebbccaeceebadbdaddceabcabaadaeaeeedceeaacbaaaeddabcbabaccdcdcadeabeebcbedbccacdbcacddbeeceadbaceaccebeaccdbbedbaececcebbccbbabdcdbeddcdaccbcdedbbeadabdededcdcaccbaaebecedaadbeabbaaacbaabcadbeeeadaeaddedabeccabedeedccecbbcdeacdaaedddcdcdbcebacccaadbeabbeaadcadebddeeacbecdceddabbeecedecabddadadbdacccdcacedcedbceaabaebcdcecaaacbcbcdddadbdeabbebaadccedbabeaddaeaecadabdbbcbdacbbaaaebccbdcbbdccacaedaaaaebaacaaecaedebedbddddacdbeaacbaecbcdbebadbbadadeeddeccebebdcbdaaedecbecbceccdecaebecedddedabdceecdcedeaaedcaedaeadbddabeacddeddcdaacddeabeabeddbaeecdbaadeebeabcdbbaadaecacdabbcabdecaacabccdabdaccdacebbbbcabbebaacbddcbdaccabcccbeebbdabbddabddcadbaaaccdeeeceadddedacdaaceabeeeddcbbbaabdaccebccbeabedeebaeeccccabeedbcaddecceaabdbbebddaeebcabddbedaaebaedacdccddcedecdadceeabdecaeabaeebcdaacaadbbcdbcedeeaceedcdcedddbddadceaabcecdbdbddccadebacedaedccbaecabeccdebcbdaaedddccaccdcbaeeebaaaaeaaddadebdbaccbeabbbaececabaececbcbeecaeddcbcabbeaeaececaabaecedebaacacaacdadddbabaadcaabeacecabbbadbbcbdbeddcedeaaadaeeddabdaedabddcdabecccabdbaaceecbecceeacccdbedaaadaebcabbabcacdcbccccdbeccedabecdcecdcedcacaaeecebdcdeadcdeceabeeaadceebaaabedddacadaaedcebaeedebcaebacbcbaaaacaadddbdaecbbaacddceceeeedcdbabdddeaccccdbcaaedeaeaaaddaeedcbadeebcaccaecddeacedbdabbddbedbedddbedcabcdcacccbaddbcbbaccddccccbeabdbccdcacbdcdbbeccdadeabdbcbbadbbbeadacedbbdddaecdcceadbdbbaecaeddebcdedeaadbdabcbdbaeceaeddebeacbbebeaaebcedbabcdddeaeaacdedeccdecbecbcadcbadacecaacabcabcaddaeabedeadcbaedcbcbaaadaaaecdcbccddedbeeddddcebbceeecabaebbaeeceabdecebadcdbbbddebbeeeabbdecaedbccadcceaeccccccbebabbeccaadaeaadbabacbccbadcacdbbabcccaabacabdbcedcccaebeaddbbececbeedcbddcacacacdaabddaaaddbaedbeaceebdacbaedaeaddeddbcabeceabcaadbdcedacbbcabceaebbaecbcbedcceecdacebacccdbbbcccabeacdbceaebeadcabebcbeebacebceccdbddecadccececbaeaaecbaedbdcdcebeaddebcdeeaaeceecababbbabeacddcecebeaeeeadbdabbabbeabccccebeddcddeecaceecdacdbebedabeebdbeddadecdebdabdeedaebbeaacedeabadecaebeeaebedbbcbdceecdaadeeaccbcedeadcadeeeaaddcacaadcddbeaaaceaddcbddbebdbdaaeacadadecadeecadabacddaadaaacdeebacadcbacceabcbcaccbeacdebcddbebaaeeeaabebbadadbadeecadadbebacbaabcabaaebddcdcacceaabecbdeedcaddbbdbdadeaccddbbbdbebbbcacdaababbaeacbeabcbcadeeaecaaebbdebdbaeecbddbeadcdcbdeacceccedeaecbddbaeebcecdaccdddbbcadddbbdbabbccedcbccacadddeabcbaaccceecddcdcdeddaeccadedabacbbabbbcedaddbecadbbbebceaecbebcbeaeebbaeddbacebababdebedebaedeaeccadcaccceaecadeedbddceeaedceaddddedbcaadcadabcebeecaddbcbbcabcbadebeacaadaeebaabeababdaebadcceedebbabeedcdcdbcbcaabeabbe
+cadadddabcebaaebbbaadaabaddccaeeaecaedceadeabdbecdcdcdaacdbceeeaebecebebaecbbdadaadecabceebbadeabbddecececceeeaceddeeeabbabeedbccbbeeaddeeaeddebadadedddeedbdeceadcccabbceaeddbdaaddbabeadceeeebcadaeabddbbeaecdedeedaebedbcdcdbaaaaeccaaceaebabdecbebacecbddadddddaceaacaedeccebdbbbedeadeceaacaddeaddabcabeddabddbbcabebeaeccacebccdecabcceaabeeeeceeceacbdccbaecedbcbdabeedaabaeadddbccbdaebcecdacccabdcdaaaacdcabcdbdbcadeacacededeebdaacbaabbdbccaebcccbbaedaeadaceeacdaceedccacacdaedbeaaaecbabcbdaacccdeaeeebddaceaeedecedbbacaaddcdecebaebdabaeaebaaeccbaabaeaadddbaaddcebacadeadeccdddaaadeaedaececbadaacadaecdeabddccededaecececdddcedcadecdcbbeceacbccebaabdacdeeaddccabeeccdedaeddabdccbdaeabdcedaaadedceeccdbbdaebebcbdaeeaeebcdcceacabdbedadeebdedcdaebdbbdaadccbddbebacdbbaaabdbebcaebececedcaebecaacbeb
+10 5
+ccbdccdaccbdbdabdaeddadbbaabbcbacdbedbbdddbbcbedcdbcdbcddadebaabebadcbbaaaedcedddcbcbdeadabbabeddbeacabecbcacccedbedaebddccedbbdbebcaaeaadeeadaecbdcabaecbadbadaaeebdeecdaceebeaedadeadcbeeceebabecdbbbdbdcaebcaddaaadeacecdcbcdecbcccbecbcdbedebccbcacecadbbbaaabdadccbceecaabdcddbccabaeecdebbcedcabbaeacbcabbabaeadeebedcccbcceeedcedeeebeddabddaedeadaabeedeebeabbdceedecebeacdcceebdeaeccddeebecbcebdcceabeaebabbeedcaebcebddebaeadcecabdaaccdbadddbbbbdadcacecebbabdbcccebedcaabadacdcedeeebecdaeacdbabbadbbbcceedeaaddabecabcdaaeecedacccbadbbceeddbbecaabacbcacddabedaaacaedaebeacdaaeacccadebcdcddaceddaebbbaabacddeedebceccdcccbdacaddccedebeeabeacaadcebcbcaebeacaebcedbeacceeddeaddcbbadcbaaaebceadadcbeabebcabbecbecaccaadcecdabbbddebdcdaccadeddccddeaedededcabdeeaaaedbbbbbcecacecdaaeaebcbdeedcbbbbeabbceeeddabdecdaeabcbcbcceedadaebbbabeaeeeeaaebebdbccbeacdcbcadcedaeadebbcbabdccbcbecbdddbcaeabaddadcdbdadcdbcdaaebccabbddeacccaeedcbcbeaccdedcbbaddadccabdbeacdeedbeddceadbdaccdaabecaeebaeeaaedcabccccdcecbcecdbbbaebebcbbdecdbbbecbececccbbeabdaedaeaddadebeecdbaedcbdebdaedddcbceebbeecebbeabbcdabadcbcedbdecbbebddbcadccaabaaedbaadeecadddddebcccdedbacddbdacbacacbdbcbaacbecccdbceebcdbbacedbdabebbccaccbceaceabbeaabccccbabceaeebdbacadbabecadbcacaacbccabeaeaebbcddeecdcbcbacdebcbcecdcadaddcadabcddceddedbbbeeacacececdaedeaecddebbebcadcdaabebecaacadaaececcadeaebdaadeeaebbbddcdbdcaacebeeddadcbdbceaccdbccaeaecdadcbeebcdecaaedbeccaddebceaeadedaaaaccdabbaebbbcdecccccbbabbdcaebedeeedbaadebbedcbeeeedbdcbabccdaacdaceeecbdccdcdbeccdcacbdceeedbadebdacbbcbbdeedabeccebeaaddbeddbccadcddeccbdbcbdaebcaceccccbcbeceacbedbabceacbededabeecdaecdadeeeecdebbbbddabecbaabbdddaaaccdababeddcdeccadccecbeabbbbeaacabeeaabebeacbdbeaedbdebabddccebbbeaaceccddedbadddbeadcaddbbcbeecebecbeeddccaeebddeaeabaaecbebecbdcbddcabddeceabcdeeacdabbcbababdbbacdacabdcdadbcbeeacceaaecdbbbddccececdadccdacdecaeaddebbeabbedbadaddeedceaaebaceeeeebaddeddddbadcbbeddbbcbcdddbababcabaaceaecbccaaedccbccdbcabedbceaddcdbbaebdebcedcbbdecbddbceccddcecacacbdacdebbabdcadacaaeeeeaaaabddeedcaadbcededabeeecbacaaceadccccceadceaecedddedbdbbcbdbaebdeecdebdbdeacbaebaccccadddadbaeedcdcbacbbadccbabbdecabebcdbeeedbddcccddcccaaecaedaaeabdeaeebdddcbdaaaeebcebdddecdcdeabbcbaccceeeaededaabcecdeeebbcaaceadaeaaccdedceadeacaebebcadbbdaceeccaaeeccaaacbbbaeabebbecdacbdecceceaecbadaacbbbccbacbbdabccedeaaaacccabdbcadbcaadadcaadbebcbbebebcbceeccadbdbcaeacababdddacdcddbeeebbbcbadaabbdcbebeddaddaddbbcddcdeecbddabebbbdacbeebaaddddecbdcacbabeececcbcedeacebeadccabbecbeecaeebdaecbeabaeeeaebacacdcbadbcaccebcbbbcaeeaaaadaaaddadeedcdaacbacadcebedcaecaacdaebbcabbaadaceacdedabbaabddeeaebcaeccdcaedadcdbeaceeaabcacddaecbabdaaabddcdcbbedddaaeaceaedcbeeddeccddcdbdeaedbdaddadccdbeabdcabcdbdbdcbbebaebbaedbaeebccecbedcecaabdbdcbddeeceaebbaddccddaceaebcaeaeedbbdbacdbeccbaacbddeaabcbaaebeaddebdceeabbcbaebddcecedcedceedcdacadcbdceabedaedddcdbdbebebcccbaecbbbedcecdccedeeccbdcdaedacbbcbeaeebaeeaaecdbaebbadaabbbebaaddacccceedcacacdbabaceaeedcdaacceadcdeeaecbaebbddababcdcaaeedcdecccbdbcbbaeeccdbddbcaaeacecdbecbdabbcebbdacdbceedaacaacedaecceabccbcebaeebdcceaaeaaddacccdbdeebebabcccccaaabdeecedacdeaabaecbbbcbabcbaadbaeeedcbcadaeaaecdecdbbcdedcaaebecebcaacecbddadeacadaabadbdbaaddbcdcdcacdadebbedadbaabcdcbecdbadddacbcbdbdaebababbadbdbeeaeacadcbeeaaccaddddeeacaceecdadcaeecabbabacbddccacdbbbebaccedacebddccaaceaebedececadcaeebdcdeccbbceeeecdacdacccdddcddbaecdeabdaecdaabcacdcbcbebcbdabbbccaeaebbdcbabdeaecedddceacbbcdeabbbbaababeededacebddeaeaddcbdddebbdcbaabeacecededabbceeabcddbbccacacceebdadcbaccebeedcbdddcebbcadedbaeaceaeccceaeabdbedcedccaabdeeecdeecddcdabeaabcbeecbcaadebbacecbabacccacbccdedbbcdacdcdcebdbdaacceecaeabbbcaedeccdadbeddaeacebbabaceebedaacbbedcbbcadaaddcccabdcdecccaecbaccecbbeeacdecdbacdddacadbaabcccbceabbdcccbeecaddeddacdeeeacbbebacbddacbbbbcdddeceaeaaebecaebbeeeacdcbbdccebadebaaeadeacecddcecdebdbdaeabaceeebdaccebecaeddcceccadcbebeddbccaedcdebdeeaaadecabcccaeaabbdabdadcecbddceebacbaebdaabebedabcddcdebbdaaecccdcacebbbcddbeabcdcbaeebeabbedecabaacbcddccedaadbaddacadaadececdadacbebaddecbdbedddcaacbddcbbeebbecabecebecebdbdacebacbaedcabeaebebccadddaadbdceecaeebdccbaebccaaeaeaaababeecceccdcebbbbbdaeccbccaecbbebdbbbcadbbbeabeeedcbbdaebedbcdbabdeacbadbdcdddabaabbacdebeeedeabbdaaedaccdeddaccbcdaecbedbdcdbeaddeecacbcabebbdadbeabbcedeeccacccbceadedeaeaadbaccdbabddbcbabbcdadddacdabeecaabcbacedccddeeedbeeadaedaeacedabadadcaadcebceeeddeababaaaebeeedebeadbeeeaaedddabadbcccceaaceadadbacbedebeeabacadcaccecdcdcbeedceeecdaeaecadabddcacdeacabadeeceeddabbbcaccbadaddaeadccccadebdbacddcbcecaeaddeddedbdadcbceddbcadbcbeddbadcccdaaecbdcceadedbdacdcadbbeccdaeedeedbdcedbcbdaedcdebbbeccaaccccedddaccddeeeabccdebadebebcdacbddcdcceaedaedabddcebbdeeaaaccbabdadacadadcbbcbecaaddabbebbbbeccbbceaeccbaebcdeaebaeabcabababbbabeadacebdeacccdbedcaeaaaeabdeedebddaceddcacedaeadbeaedcadadebaeedcccebacdadaedcabbdabddabdabdbdeccaadbabaccddeeddcacadabeadaedecadebbababebaddcbabbdcceeadbdcabbcbcccdcbbcbdeebcddccedddcaedaaebdeaeeccbebedabbcdebadbecbbdcaaddcedddaeecdcbbaceaccabedeabddcddeceeebdbcbaaaebaceebaaacdaabcbceaabdadebcedecdacbbbbabebaaacbddcdcecdbbccbaedcbcbbdaedebdabecbcaacbedbedbbadddcaabacccdbebbeacbdaddcdbeeddbddddaedacacaccdacbbdbcaaacdcaeebdeaabddceeaabbcdbecdbbaceeadccdecccadbdebebeededbdedacebdddabcbadabcaabdaaddabacecbbebdbcadaacbccbddbaacaaeaacbbcdceadaabdbaecbababaecabdaaadbdcdaaacecadaeaaeadcecbaeebdcabcdbadbbcecddbbcbcdeaacaddeaccaaadeccdaddebcecabecebaadaadcaaeabbeadacadabbaaccddeecaaeddeceedbbbccacabaadceeadbecaaedebdabbadcbcbcacaacaebcddababbeabeebaabebebabbabebedbabdadcbdcdabceadcccbccbceaedbbabbbadbbaaaedcedcddbecacbaddcebbaceabecdbbcbeccdacbdaeeedceaeeaadeeeaaabadedabbbeebeabcebcabeaeeaaebbccbbbdbbcaadbabccdeecddeccadccacddedecddabdeedcccadbebbadbcadddaaacccadaeccaaadbaceaabeeaadcaddbcceccecdedebedebeedadbecaabbedeaeeaccaadaddedebaeceeebecdbbcabceadbbcdbdeabaacbeebcddedecaacceeccabbbeabacedcbbacbaabbeeddcdbadcbebedbeccddcbaadceadabecabadaaccebddaacedaceddcceabacbbbcadacdedeadbaeaabbbdcadbaabaedbddcdebeadddbaceedbbcececacccdebdececbeaaceabeddabaaabceeaacbdaeadbdbbbbdbbacbcccedcabcacbbeaeabcadaaacdbdeabdcaaaaeecdbabedadeaaccaadbedacecdecdcccadbbabadbebdbcdadebecbcbbaacdbbadaddbabbcbebbedccdccdedcaeeedbcdbebaacdcaeeabdebcbbbcbaaddedbbeddbdeeabebcbcaaecaaceddcbcdbaaccbdecacbaabeeeaddeacaedbdacbdceeeebaaddcecdedbbbedcccbcdcdabbdcaacbdeeddabebcaddabdbabeececccabeabbbeecacadddccaceaededcdeaebceaabdceddeacbaeccbeacdebbeececbaddbaaccbeadacdadbabdabaecbaeabddecddcadeebcdbbabdadddeebeadbeddbadbecbddacddddabbacbceabeddeaaceeadccacbccacddacdbcdbaabdaedbdebadeceadbdaddacbcdccbcceaababceaeeeceabeebdeccbcabcdcecabaeaeabedecadacaddcbddacdcdbeddbdecebbeeeabdbddededbbebdbcaacbbeeaeadddeaaacccbebeddadabcdacdcccbdebeeccdbedbaccdbbcbbcbbebaedceadadeecdceebacbddeeadeaccaacaacbcdadadcbecbbdacaaaebcedddbdebcccacadecdbaaaebcaadaebbdeeccedccedbcddabceccaedbecaebceacddeebeddbcaadcddbdeabbcabcecebbdbcceaadadccecbcbedceccbeeeaecaebaadbcaaeacccecedaeddcbcacbacececcedcbbeedabbccacadedbeacdbaceacbceadbeebbabbdadacbaabceccbdddacdbebbceabbbbebaaccbbdbcecbeaaaaceadccaaaaddbdbdabcaacecdbcaacbeceeddadcdcbbaaaebbaaddbecacaeeeddcbdcedaaeeeabcccdbcabcdbadecbddbcedabbcdcbedadacbccbeaeaabbcaddabacacaaddbcdbebadbaeeceeedbddacbbdcdddcbeabceeccadaedecaabeccdbbddcedccabdeeacecaedaddaeaabeddbbceadbeeceedccceebeabbebabbdeaadeaceaebaaeaebeeedbbcedaaddeceabcccdcbbeecaccaeacabdedbebbeebbeceeecbdaebbcecbdaccdeecccedbeaccbccadcbdeebcbdbcbcaeddebabdccbadacddcaabbeccadbbbdedbeadcbcbeaacdaebbeecdbddaeaebdedeecadcdeadaaebedcdcaaecbeedacdddbdacedaecddeedbdaabedacbdeadabacaaadddcdbcbbaabacdeeddebbddccbdebeddecbdababcdbecedcccccebddebccbeacccadddcaabbbdccccddecbeebdaacedcbabbdbdbabdadceabcdbebcdbccdebbaaedcebdebaecbdddaaeacbceddaceceeaedbcccbdbbdcedddccdeeecbadcdebaeabcdceabdcbbeededcecabdeccebcddbcdacdebeddbbcabecceccaeddbedeeecccceabcacadbebccbbcdcecacdddcdddbeedbdababceabecdadbeadbadbaceddedbdacedcacbcccbadbdeddacaccedebcdddcedbabbdbadcedcbedacdbddcdbaadadeabdeeadebaccdcedccbebdebdeaecbbdccdbcdbdebbaecbebcdbddadeadaccbbdaeabbcaacdacecdbacaacdbdcebbcbdacebbdeaaabbcaaadcecbecabeecdeedcaddcdccbdeccabaaaeadcccbeeebdeeccdbcebadcaddecbecdcbbbbbeeaaebdebdbdcdbeacbceaceddaceddeadaaedbbbbbcdcceadebdacbdceadebbbbbbabbceabccedcdcbadbdecbddbdceecbcbadabbeccceecceabaddacbaeeddeeabdccadabdcaceacceceaeabeddceabdadcdaaeadaaedeeadabccebabababdcaeacbacaaddbacdcaeecbcaebdcbadacdcadbaebdededbeadbeacdecadacbbecabcdaedbccbcceeebdccedbbdbbadcaccbaabbbccadbaaabeabbbebddbecbddbeceaeeddbaaddbdcdddbdecedcabcbccaeeeedcdaaabbecdccebeecbbcabacbcdbdabdaabeacbdeccedcdeeeacdcbaaedaeedecedaaecdbadcabcaaadbdbdeebdaaedcddbdeaaaeeaccdbcdcedcacdecceabadcdbbdbbabaecbaaeeddeacccbcebecabdabeaaaddcacebaaececddaaebadcbaeacaacacddaeabecbacaeadbcdbeaadcbbabdbdcadbcbaaaaccdebcdddbbeeedacdeddecaacecebabaaaecccebdbaabedabacaedccedebaccdaccccddccbccccbbcebdaeaebabeebecddebbcedddbebecdaaecdeadcecacaadaaabaeedbedbdccebcebddacdabadbadccbbeeabdabdecebdddaacbadaccedadcbbdccdcdcdcbeeccedabbbebbedebcdcbbceacebdcacbdeacbcdedccadcadcbbaacaceebccdabdeaebdbddcbdaeecceacdeccdacecdbaececaebdebabcbdabcdeadebecdabbbededbadaebbcaaebaaceadeddaccbbcddaaaadbdaaeaecdbaccebcacadebecaaecaecbebedecccdebeaebebebecdbedaabddeabcadaeddabbdebeedbcaceeebceadeedddbcdecdaedcbcaccedabececdcaaeeddabebaaaedcbabcdaebbcdbcbcdecadaeecdeadaeeabacecbddeecbccbdbdebeecacccadeabeeebbecdceaaddbcddeccabcbcebedbbedcedbbbceaebddedaccbebbeacdcbcbccecaadeabeecdeaaabbacddaeaeaacacbedadaaaaabacbdaddcdccadadbdacccaeaadbdcdbaaadcedd
+edcebceabcccdbebbaedbaceeebbcddbceeaeabccedeabeaaecddbaebcdbeabdeeebbbdccadbccebdeacebcbbeddddaadcdadeddbcddddadedaaecccbbdbdbcbbecdbaccbeeebedbdeeaabecbbcccedeeebcceadecbdaadcaacdeeadccbdbcdddedadaaaaaddacacbadcadaccabadebedcdddeebcccbbbecebeadedddecbecaabaababdebbdbaeaceabeddaedcdcddceeaebdeeaadbbbdcdcddaaaaebedeeacbcaccaeaaebadeeccdaabbbbedcacabaceaeedecebedbcccaaeccbdecbbdcaacbebadaaeecacddadaadcbbeeceebcbdddeeedaaeacccaeddbcdcaabacebbcbeebaaaaaecaacdbabecdbcaaaeeebebebddccddcadadbacacecabbbbcbadcdbededeaaebcdaacdcbeebaeeddaddedbdecdbbebecbdecacddbebbbadebdaacccaabadabcaaeadeabbcceddbbaadeaeeddcbcccbdaddcbcdbaaaddcadddbeebceaeaadbcaedebbdedbbaaececdbcebcbdaebcaddadcebecccbeeddcbeccbddabcadabaeedadedbdddecededacbaadcaaccddcdbbdabbaebaecceddceddadcaecccabeedaabcacbeeabaddbaacaaeaedccebeaeedbacaacbaaecadeeccecedcbeebbceccdbdeedebccaedbedaeecccbcaeddbabbadbecacccbacdbcdaacecacaceaddeedaeacabadbbebccdaddadaaeaabeaecdaeaabceebacbacccdcaceaccbdedabdbaaaceacecceeaebccdeebbbddbceaacbabdcdcdadbdeeaebadcddbdbcdcccccdacabbdddebaddaeecadebbabecccedcaaadaadebeedeecbcccdceebaaddeceabbdeacbaacbccbdeeeabcaddcceebadccadceaacddadcdcbabaabdacebebeeabeaeedacaceaadabbdadccbeeacadcedaebebdbaabdbaecdcdebbcdbdcdaeebadceaacdbebddddeceeedeeaeaceadaacccaacbdcdcabcecaeebedabacacaaadcdbeccecbabaedbacaaacccddcebdabaadaedabaadeebbacedcbeacceaacdcbdbdabbccdddbdeddecbceadcadabceeaddaceaceabdebcdccaadbdadbedcecaababebcbbccaedcdcaaddaedbaceeeedcceccddcbcdecbdbbeebebeacabcceaebceecacecabbcbcdbedbecbbcacbcbdeecdbecbccbeceebedeaaecdbbbaaccdeebdbcaecdeabcaeccadcbdbcabddecdedbcdbeedddebadadbbacabcdadbeacdbbbeaabeabdceadaebcbbadbbeadbcecbadeabcedeadaccaddaabcedabeedcbadcddbdcbdacabddabadabbdebbdddcdbadaceabccddccceddaaacedcaddedbbdecbccbdddabeeabdaceebeabecabadacbbdeeaccceeebdcecccdbaecbeccaceabebeabdadbbbbebbeadcedddabceaeddaadbbdadaadeeaadeaebbcabccacdcbdbebdacdbdacdeedbdeeacabebccaecacaebddabdcccadaacebccedbceaeaddbaeadaadddaabdecaaadadeebadadebcbbbbceedadeeeeaadadedacaaaeedbccbebdbcaeabaeaedbdeecbcaeeedaaeecccebbaccadaebadbdcdebaceaecedbedcbcccbbcbceebbbbbbbbbaabdccbeeddbceaddbbceceadcdebaebaecadaaebadbcbdddedaaaedddbbabdecdccdeaacbbdcabbabadaccdcbaebbadeceadeebeeeeecccdcbbedbbbbdddebddbbedecaabdeeeebdaccaadebddbaaddcdecbeddaddaedbbcbcaaaecedbacbdadccededddcbcadeabdeadaccebdeadbebebedaebddeddebcecabacaeeecdbeaeedbcacbdbaadadeabbacbaddbebbcebacccdcbeeceaceeeeacabceadebdedcddcdeedededaeaeabcebbcdbecbacaeecdadebaaacedbceccbeacaddeaaddedbbccabbccbdeacbadbdaaddcaaebdaebcdddaccdbbdedceeadcdebdadddbdababcaccccdecdebbcdacaeabceeddacaeddabbededacbeacaddcbeeccabedadeeceacbcbeccceddbcdccaeedddeacccedbceaadbbbacdaaddabcecaaadeabaaeeabeadbdbbcbabaedbbcccaaecbacedbaeedadccdeccededdbeebbeebbddeaccebbcedebadbbbdeecaddcececcbcaeddbbdeaeebcebaacdbdeddeebcaaceedccdecdbdeaaaccaabdadecdcdbbccacadaaeaceabeccbeacdecbdcddddeabebdceaebaebccedeadaecbaebcbaceeccbddbdacddcbbcccabbabdccbcebbebccdcbcddaaacecebddbbdddbaeccadcdbcddbebccebbeabeedbbeceeeddbcbaacaceaebcabdacaacaaadecdbeccddcacbdabbbeedeebbceeabbedbadacadceeceabaeebaecebaddaecabcccebaaebdedcdeedbccbdaaaaeeeccacdaedccbecabceacccbedbaaedbcecaabaaaccbdcbbcdbecdeadddebcdbeeaaeacebcbdccbbcbdacbbeebdcbabdbbcbbeaaedebbdbebdbcdaadeeaeeacdebacebdaeaadecebaccaeddcadaabddbbabcdecadacbdcebeaaeeaceabbbbbaacabbbdeebcaedcdaabcdedcddcbbebaeeddaabbeeccebeeeedabdeaacdceeeadceebbddcabcebbdbaabeaccacbdadaabbdcaecbcecdbdecbadeaeecceceacdeabcbbbbabceababbaeeeabadedadaaaeedbaaababcdcedabdbeacaccccddcedcbdbeabaeaecdeceebdbadbeacdacdcacecdecceceacbdeaddabacedecbbacaedceadeecccbcedcbecddcbcdcbabeaddebadcadccddeeedcecbdddebdeacaabdabbadceecabcbaaebcacebdedeceebbeaadedebbceaadcbbdecdabbdeeceadcadaddbbcaabebceaebcebdaebbbcccbecbdcdeaeadcadeeeeaeaeeeeeaadbaabacbaaaeaeaabbecccdaabaeadebbceceadaaadbbdabcacaaccdbaaeddeaeedccceaccaabcbaccbcbaabdeaddbabacedccdadadbbebbbceeecddaeaeeadbdbaacabceebcceceabbceeeeceddbebbdedcdeebabddcdbcbbbcaedcaaadeceabeecedacaaaeadbbccacebacaebceaceeeebadcebebddebbddebbdeaddddeeabacddddccaecaddcdeabdbcdebacbceabbddeabdaaacbeeaebbbbeeccbadaadcebbbedddcddaecbaccabbdbdadaccaabbdcbadcecbabaaadecaaacaaadddadecbbdddcbaabaeaacdcceedcbedbbebcbacacebbcdebeaacbdecaceeabbadedcbeadcbbebbddccbbcdaebebbbaabbceddaabadbebcdddbecacdaebdedccdbccebcceeaeaedbcccaedaaecedbbaaabaadecceebbaddecdbbbcecdcceeaeaacebbcbcbadbddcaaddcbbcaebededceaeecdacddadddaabcbdcccdadceabcccabebbeaeddccbceccabebdaddbbeccecdebcbcadacebeaeccdaaaacceacdedacaceebcbbedabbaabcbbcacdecdaaadbcabeeeccdcecdabeeababbdabcdadcdaecbbadeadeeadeebeecaccdacbeaacdeeecedaeceedeadaaebddcadbccdaebabecbebbdedddecbeaeabacbdeadacdaedccbeebcaddadeaceabbeceeabbbbbeebebecbabeeeedcdadeabbccbdddabeddbdaceaebdbdadedbeeecaeebcdbdeadcabdbcddebcbeecdaadaacacdbbeaacacacadbddcaddddeebeeeaadcedceaeedddddddbebeedbceeaadebbdebcbebdadebcdbaebaebeeebecabeaadbcecebdccdeeaebcacaeebecbaacbcddbdaaebadaabcadddeabdbecccabecacbaeeaeeaaeaaababdbeacbaecaedbcabbbaebdddaceeeadaccccaddebddcbedecaacddadbdbabdeabbbeddecbabbbcaebaabeeedabadedcbccaceceadbbaebdabdadcedbccbcaabcdecadabcaaedbcaabbbcddddceeacbbacdcbcdcacdadccbbaebedaaceedcceebcaacbbbebbdecaecbeccebeabaaddacdabbecdbabecedeecacbdaabdbcadadaddaaabcdadeacdaeeecdcadccbbeacacadcdcccebdbbbaeeddcbddebcebdabcbcbcebdbcdbceebeceaaedacbddaccdeeadcedeeacdddbbddcedcabeebbaaceadbdbbececdeacdedaccdcddaabdaabdbcdbddcedadcbbbddebbdeacbecebdebdabebeaccbebbcaaddacabbeadaacadcddaebebebcebbeecdbddbebeadbebabdedeaaeceeeabbedbecaadcccbeedaddeabbbebabbbdeceacaeebbbbdadbaeeaeeeabecdbbccdedaddeadeadbedbbbbebbdbdecbdabaebcbbdcabdbecbcddcdecacbabdaeadadcaabbaedaecdeadebabbebadacacbccbaaabcdaeecbeccdadccadecceddcbcaccbdceceebeacedeecaaabdbceedddadeecdecbeaebbcdcaecdccebbaabecdbadbbeaaceedeebaedaddbdbdbeeddceeeacdeebbbcdebddadcbdaedcaacedbdbbecaabbebdbbcdaddadaceecbeeddebaaebedbaecbdbadeeebcdbaaaeaaebbbabebcdadebdbbedbbeddaaccdaececcbabeccdaacebbdceabaabddebebdaaddaacbadceeaceccaeecddcdcebbeacebbdbabdccbcacedabededacbbcbceadebddecdbbeaeabedbeceeeacccbebabbabecdaecebeaaabccacddceeeebdaebeeadbcbccdecebdcdeebabceadaebbecbdcebeadceadadeaaaddbaabbdeddabccaeecdacddcdcacdccdcaaebbbabbabdabadbaacceccccbbebdadbebadceebdbadeaecdcaedebcbcedcedbbacedeaeabbbbacbdeaebadbcccaabecdeadedbcaccdcedebbddeedbbadedebedebebeceddabddeedaeddccceaeeceddcdaabdddcdbebcdacbbceccecedeeaaebbcaaaeedeaecbcdaaaadadbbabedbcebdabebebabcdacdadbcdcddddeecabacddcedbccebbabadabcddcdeabcaeaeeebaeaadcdcbbeaacadcbbbbeeeccaebeebcebdcddbedcaacdbadccbcdbeaacdeaaecbdbdbadbcaddacabcbbadaacabcbeaacdbeeaaeaeabcbcdbdcdcbddbbceaebabbadbdbabccdeabddcbdedbeccaadceeeeeabdbacdaaeaaabbeebdedbedaebbbbbaebdbdcddcdeedeeaececbdccecbedddacaabdaacdcdadedebaccabdeccccdccbeaabedccddcbecccdcebcdaecacdcccdadebacbbabaebdcadaebdedcdaeeebeccdaceabdacdccbededcaabccbaddcdbacabbabdbdaebaabacabdebdabedabbdebbbdaecbccbbcdcebcdceaadccedacacadeebabcecddeadadddbdbcabbdacbcccedeaecaecdebadaecebdbbdaddbeacbdbddeeaedabeddcdeddaebdcbbeeadbdbdbbeaccacbeaacbedbaceaecceeaadccdcaceadbdbbbbdeaebcebcacdaeebbeeeaaecbceeaceeaaacdcddcebccadbbadabcaacacaddadbcedcedbecacbbaceccdccadebddaeabaaadbcaaeacdcdcdccbeeebbbbcabecdaadcacebebedeeecdadbeedebaaacdcdcaeddaabbdeadccacabadbbdddbbdbcccaaadeeaddddbebdbebdbedaaaeaebaeaabbdbceacaccebdaaaabdadeacadcbbbcbcaaadbadbcaeaeaebdbeeabaebbdbaeaeaccaacdcccadabceaadabebdadabeebabcdaeedcdaccdebbebaeeeebccbcebabcaaaabbbaabaaddcaeeadeeedccdedcdebdaadbcbcabeadbccddcceeebbccedcedbadaaedbcdeabcdbbbcbbecdbabaabcbbeecccccdcaabbdcbbbaebbeabdbaebcebadaabbddbdccbaaddbdceedacabcadbbcddccabbacdbcecaeddaccdbdaddbeeeeeaedcabcaedbcbabaddaadabeadeaabcdcedddeaccdbaeddaccbaacaccdaebcabdacacdececcbadeebadbcbabedecabccdeecbbbbdcdcbedeccededdabeecbebebeebdbcdbaaddccdadcbceccabdedbabecccbddedecdbbaeecbaadcbeebebbdbaeaceceecedacabdabbbaeeccbedaeacabcbcedbcbeebaeaadedecdbcecdaabdddcadabeeaedbaeaadbacabbadedbccedbcbcddcaabedbeaedddedbacccbdecdebaccdcdedcdedcaadedbcbadcbdeceaddbaecdcedebecacecabcedb
+ddbaaeceeecaebaebcadeedbebbadddabaaabedbbceaddeacadcedcbdaddbcbacadedeeecdcaaddbcccbedcdeacbdcdbbeddccdbedabaabbaabcedddeabeedcbcbadcaecacbeddebbabeddeaebaaadbbdeeedcebddddcedeaddededaeebeaccdcbacaebdeabcddcaacdeeaecdadbdaebacbcbebdbccecccaddeeedbbbcdcaedcabecbbbccaeabbdcdccddbdcbadddbadeedeacabddeabebceeecdbaeeaccdbaadceceaddabebcccceeedaabbbdeebaccbccadbecaaedcdeedaaebeaecabbaedcbedeecaebcdabcddaabcbccabbbbdbacbcaedddebacbaedebdeadbeadebbeeebcbccaaeeeaedbcdcdcdcedcbdadecdcedbbedbcaaeeeabdadeeebdaeadebcecbddcddabbbbbceedabbdccaaeeadaaedcaadcbaebbedcbeedbbbddbbcbcccedaebcbedbeacbddcdedbbdddddececcceccbaaecbaecbcccaacccdddeddbebbcecccbabddaebdedbcabaabcabcbacbbceedaecdaeeecadbdadccdaaceddebdebdedcbbecbaecabcdedccbeebbccbddcebcddcaeabbdddccdeabecaccacaaebcdbabcdbccdcbcccacacbabaeedabebdddceeadaebcadbddbedacddabaaddccbeabadaacbcbaabeecbebeabdddeeedebacbeaecebdedcbbabbedbaeacabddaddcbdaeebceedadceeddeccedaebeacbbcedddbaddbdaeadebdaadbbccdacebbdaaadeaeeddedddbcccdaaedbcddbcbbbbdcdbdbcdababbddaabebdcadaddcabbdedcbbcdacbbdeedbccbdebeadedadbaceebbbceabaaaceecebbaacdeabeceaaeddcbeccbeabebdbcecdcacbcedbdacecededabdcebeedddecaebeedeaaccaddcdcbdeccedbeebbccabceccaceceebbcbbdbdbecaadeecdeabcdcaaacbeccbacedbdeadcaeedacbdedebaccddcabaaaebccbaedaecebdcdbacaedaaccdeadcbbdcbcbeccdcaedcaaeeddbeaecabbcbdeeebbeaccdabccaaeebeacbcacdaaddacabebebebbdaaceeacbbadecdddacbdceaecadddabcacbebceccaeeccadedeaadbddabdbadedeeeddddccadeeddaaadddaacabcdbccadbeaaeabbcbebedceeaadabcbcabcaaeebebcecacbcdaededcacccacbcbdbbeeaeaebaecaadcaabaddcebaeaddeaaeeabeadcabcddcedbecbdaababacdbedbddbbdaceadcbacaabebbeedcbbaddbebededecacdbbeadebdeadababceabaaacaecdeebedbbeeeabcdbaccbeebaebeaddcaadddeadabcacbcadacbebaacbcaabddaeeadaeeedeeaaacebecaaabddadebadbbcebadaccdeecbccaeadeebddabdccaecececabeaedcbcaeeebcbeeebdeadeaeadbbebcccaeeeeeeddecbebbbadddbaabbecdbbcbaeeaeeaeeabccaabbeedecdcbeddcebcabbbeecbeacbcceadaadebdacbcaacbadcbecdbaecaaddcacacbeebbaecbcbacbbaccadaecdadaeebebabbadcaeccecbbdedeadddbcaeabbebbbebeaaebbbaeedbcaebdaceddebcccdaeacacadabeebdececcceccdbcedbecdadeedcaadaedaabdbdcdcedcbbccbaaedecacabbebaeadceceacacabbeacacbbcbbacacbdcceeacaaeeaccdbdedcbaeddadcbaeddbebeaeadddecdedaaaababdbaebbaacecaedcbdacebdccdecbbaedeadbaaececeecacbaaccbdbaebdbcddcddacbaaabbddbeadaccecceddbcacdcddbeeeaeaeebaebbbcbeaaeaceecebabdbabebeaaaacdbdbcbcecdbedbbabebcabdcbacbceabdcabeceabaeaeccddbdcbdadbaaabcccebdeebabbbadbbcebeeadeebdcecabdeebecabaaaabdedcacccdcbdadbdebccaaaabeaaebdccbceabbbdddbeaaeeebaabaddbdcdeddcdebdcaaceddccaaebbaacecabdaacbbdadbecabddcbcbceaaedbebeddebebcdddcbcebddeeeddededceaedeacadcaeeccdaecccaaaaaacaeedddcebcedbcceadabcaedcdedacebbadbddcaeadcdeeddcaaaaaeaedcdbadbeabedbeccccbaeceaabcadedccacbaacadbbcacaabbecadedbbdeedcdabcbcadceabbcbdbdbebaebccbdeccbbceeaeaaebddaadeacebdbbdcddaddeecdbabebdceabcdcbbebcdcecaecabdebdceeedcaacbeeacebaedbedbceebeeeeddceedecebecceaaaeeeeeecaaecadeadcccbeddcddbbeaebdecdcccaadebcccbeebaacebdeeabbceaebeacacbdddaabacbdcdecccedaecdacbbdabdbaecccbdcdeceaaeaeaaeabacbdbebebceddeebaecbaeaabbbaecedeabdbddaabbdaecddbaebeeeeecdeacbdccccbcbcababaabddeedcacebabedecbbbdedcbdbedbaedeeadcdbbbeebbccdcbeeceabacadccbeedabadaaebdadacecebadccdeabeabbcdceaaacbdbcabceaeeaebcdeccabedadeeecdddeccdcebbdbcdcecbaaceddabbddacdeacbcccdacbbcaceabdbeeccaacabebdbbebdbabcdebdddacedcbbbcccecdceedaeebddaaabbdcecdaedccddbcbbddd
+decabbcbeebbaceebaaaacbbddaeadaadceaeccebcedddaccdddacdabeebdaeabadccaaeeddedeaacedbdabcdcdeacdaeceadeeacecaededdeecbbaebdeadebdbeecadcbebbcdcbbcbaabaaeebdabbaeadeabacdbaaadcbabddabeedacdcbecbceabeeeacbaeeacdadaaeccadcaeebbdddaeabdcbdbeccabdaedecddcbbbbdadacabddbebdaeaaaabbdadebaaeadbeeacabcacbaadddabaeabcaeaccddeeeecbbaeceeaacbaabeddadcebeedddbaabeeaccabbdbdeeebcacedbbccdcedacaeeebcdabeccedacdcbeeaeabbadacabebabacceadcbdaedececbadacededeacccebdeaedbbdceeddaaadebeacbcabccddcdbeddadbeebbbbadabcecbceaabcddadbbdbacbacbeaeaadaaaebbcacbdbbabadcceeebbebcbabcbeebebdaacbbdeceaaebcbabaddaacacdccaeeaaeabbabebaabbeedbaacaddeccdbcbabbbecbbaeadecbaaedecbebcacdadeccdadabccccbedbcabadcddbebdeeecbaecdbaabcccbebdbcebcbbebdcdeebdddacaeaacccedcdedeabebdccecdccbbceecededcdbacebdcbbbbaedaddcdcecebdbdeaebccdadabcecadbdecedeebedbedebdebccaabbcdbcebeacebbceadbdaeaaeadccbeecdaccdbbccdcbaaabdeccaccabbadebdcabcdadedbaecaaacaddaeaadeeaabacddddebbbaadedbbaabedcecdaddaadecedcaacbcabeeadbceabeedbdaecbcccbaeabbebcaddecdebeddabaceccddbbccdaecaeadaddbebaccccbebaeedbaaabedcdaadabdaedccbcdacceedbeacaabdbbdaceaadcecdaddcbbcbbdabdbbcedeaddaddeeceeeccddcdadebaddecdbcbbadacdabbceecdaaadbdcdbbdbabeecbaccaeeddaaadcaeebeaadeecbcacdebcecabcbdeabadebaccdcbacaccaaeedbedcccedbcedcaecbbadacebdcdbeeebdceecbbcbcbadaedeaadacaedcbbeadebebabebaeadbeccbbdeaeebaecbebcacbbdecbbcbbedadbdecabbbaeddcbbcaabbacccbeccebbcdabbceaabebcadeceaecdbacbedaecaddcedcdbdaaadecddabcdcadcedbcdddcaebcabdeaddedaedababecebdcdceabcbdebbeadabebaedbedadaabdbebbaecdccedaaeecbadcbeebcdebdccbeddceebceddbbeaccebccdeabccccadcbddccaaaeabdeaacaccaaeebcadaddedcbcbaaabccacbdebbcabaeaedeecbaaeebbebceedcaacbdddbdabceabbaeedadebcaabbccddacdecddebaeadecadacdaaebbaaaebbbbdbdecdecabaddeccedcddebccaacdeeeedeaadcdbabbceacdecbdcbceeacacaedaadabddcabbdeabaabecadcdababeddaedbbecaacbedeaebcaaabeebaaacdcbeeccecebaddeebdadadedbaacadaacebbbaadaabcebeeecbceccdaecdeeabeaeedbaebbcdaacdaaebecdeabbbbaabbbebddacaabbbebeabacaaeddceaddeabceeddbdaeeddddacdedbddaebaeeccebdbadcebbebebcddeaaddeccaccabcaecccbadaaadeabbbacdbaadaecdadbbbaaaaeaaabcdcdbecbaabcbaaaccbadcbedaaddeedaadbdddaeebdbceccbdadacacdcdbddbabeebdeebceccbbbabcbbbbcdedaecdebbdebacdcdeddbdcddbdacdabdaabbaaaaeacdaacaaebeecbddcdeddbebbeeedeeadbabedaeebbcaedaaaeabaeeabaadedababbacdccadbdeaeddddadbaccedbdeaaabcabaebaadacedcabccbaeebbbedecddbddbacedacdddbeeaaebdbbbcaecdbdaadebbaaeedcebeaddcabedccacecdeccdcecdcccbdbbcadbceeebaeaccbabcaabbebecabbacaebccccdebededecabddecceecdccbecaeecadddbbcdcdcdadbedcbbecabaedadceccddeceeccdaeedbdecaddddbcddaebdeaeaabecebdcabbebdcdacabccabcecacbecabcbbedcccebabdbdaaedbeaaeedcbabecddadaccdceeddebabbedeadcdaeeecdecbbdaddbbdedcccaecaeeaecddabeecebaebdcacdeaaebdaeaaeaedccdbbdddaeeeeaaaaeaddedecbbdeaddbadececdbebcadcbddbacdeeadabedccbbbedcdcadcbeecaacabddccaecdebbbecdacdeeaacabeecaceebccebdddabcecdaddcedbaaceaeccbcdccaaeeebadbdeaaedbcdbbddcdacbceaeeacaddacddebcedadbcbdebcaadcdebdadaaceeddeebbceaadcedddbdcaaeebddebdbcbdcabbddcecebdeaaacaaeeadbadbecaeebbaeedaeaadaacdccceeeecdcbdcbdebaebcaadcabaccedbdeaaceecbeeecbbceceacacbccbacaadedacdaddbebdbeceacaeaadddaddadbeadcddaccdbbebeeacaaedacdbcccdabeecbaeeceaeeeebcbcabeacbbabceaacccdbecdbadcdceedeeeabadeccdccccebaacbacaacecedddebceeeecaeedbabaaceccbedaeeabaacbaccdddbcccacdaebbeadaeecbbbbcaaeecdacecdceeeeebbcdebedeaeedadcceadaeebeebbbccdedbccdeadbcaecceaabcbdceedaedbbedaacbabcddbeaaeccbcaeaaeeaccdcbaecddddebdecdeccaddceabacaeabeadcbebddeaacbadbdedcdedabbedeeadebecabecbccebdededbebaecdbbbbddaabeebabcbccbcdbbeacbebccbaabadbcdccaebdeabcbdceabbbccabeeccdecccdcbedbdcadacaeecaaabebbcbecaddaaedebcccaaaceeaddcacaaecceedadbeadcebbbbabbdaddbbebdbbccbebbeadbccaeeccbaabbbedbeabadbbdaeaacceeddeeadabbddbaabacbaeedcacceeeabeadacebedaedabbaccbbaeccecddcdcabbcadedabdcacdebbdadcecdeaabeeabaebaccccacedddcacaaaabeddddcbabcaedaeeeacecadabcadcbebaaebeebacedeedbebaeedccaeeadddceddeacaaadbdcceaaeeddeaebbbcdddaecaadbeaaaeacadcedeebbbbaceadcbebeedabaaebdadcaecbedddaaaebdebdbadbecebeceecbcebabdaaebdbeacbeebeaedaccacadacdcbbceceddecbacbabcadaadcdbebecdaceebbeaacdceadbddaaaabddacbbdcbdecaaddcbcdeecdbccaaeeebaddecbaeedbbbdbadecacaaceeaceddbadeeadccdbaaedcaaaeacbdacebcabeceeccbacaacebbbbedcacdecaadebebbbadeebcebeadceeecdcabddecacddeebaaebebeddadcebbdcaeeaadecdaddecedebedcdcbdcaadbcadbdaddcabcdaddeabaeaacbbcacbedabebacbbaddadceaaeceabdeaaebdcaabbebbaccdaaaecdcdccaaaabcbceeebbeadabeaeadaaeeeadbcbcbeecebaecadcecaaeddaabcdbacbccdceedacabcaccaeecadaeeaeaaceadbedcbeaaaacddbcaebcceabdddbdcabadcbcebdaaceadbcdadaaaeaabeabadddacbddeadcbabaecebddbaececcecbbdaaeeadacadaddcdbcabdcdacbebeebeaeaddbceabebbaadcdebddbaabaccedbaedbdabcadeecdcbbcbdceeddaabecddacbcbdbbedccdabdcbcbaebccbacecedbacaeaabccaddbcdcdcceaadbecadaabacbcaeddecbbbbbbadedbaeabcaceecbeddabdbcaeccacdbebdbebaacceedaecabadbedadabecceabcbdaaececccaecaacbccebebadbddbedebdbaeccceecdeccbbccccaccdedbacebeebccbbacecbddaecbcebaedccbcbaedebaaeedccbbbdcdeccaddbabcbaaeabcdcadbcddcbeecddbdaacccaaeaddeacdadbdeaebbccbddcbbbadabbcbcbbbeccceddedabeddcbbadbcceedaaababbeadccaadcbbbdabecdbceaebdcacbbdcdbecdbaddbaeaceaebabcaaabebbeddebebccadcdbdaebcbdaebbceeecbdcaccacceeaabbececaedcabdecedbeddeaadedbaddaaadedcdeacceedbddbeaceaebcaadcaeebbaacbcacbdbeecddcecbcbbebbebbacdaeddcadeeebddbdebeceeedbbebddbbadcdeacedbabadbbaeccdeccaacdbcceccedaadebbaedeadedbacecceebcadaccccedcbdcaadaabeeabbcbedeaeedcdcbeddeacedaedcccccbadebdddddddddecbaeceaeadaeedaedbeddeadbbdbcbabbccdcbeccbacbeacdecbacaacddbbbcbcedacacbccccdcebaebbceebbebabeececedaaadddddddbaaddaaeddeaedbeaddabaadabedbdcadebbcccbdcdbbcaaeaecdbcaeeddaccbeabceaddcedcebdeedaebdbeeecabbebdacdcdcccbceeaaeddadcdddeddcadcedabeaacbbbbacbcdadcbdcbbcbbaaeabaeebbccaceaaaeeedacceecaedbbbaceebcddbabdedbadddaaddbeeecbdeeccddebaaeeaaaaaceaacbbacaeddbcdbbbcceedcabaebcedebecadedcbebbccaebeeaadbabcdcbaccddaeacacaaaeeddebaeadbdeecabeaeceabbcdceacdebcadeadddbdebeaeecadbcdaceccaaabedaedeebdeeaceddeebedbbbabdbaeecaddcaeaabeccecedbcdaeacedcacdddcdacdeabceaaacaceaecdeccacdaaadeadcaecbaabbcaedebdddddeeeeaaaebecbbeedcdbddabdcbbbdcecadaaebbcbcdbbcecbdeebcecededacacaecbcbaedbaeaaeabbaaeeaeeadaacdeabbeaaebdaebeacccccdcceddacdaabdaceeecbedeeaadbaedcebbaadcdeebecebecaccbcebeeddcddbaabeeedeaedaeccccebcbeadadbbaacaebabdedbbacdaceebccdcbeeeaecbbaadeebaddccccebeaacaaddeababaeddbebeabccdbedceacdabecdacdabdcebbcaabdbdeedbeeccecacaebecaebaeedebecaceacbadedbabcedeeebeaccdebbdbabaaaabccbdbdcabcbaaeeebbaeebadacbbcedcaaedbcccdbddbcecaedddbeeeeeeaeaddcbdccbeeaddcccaedaecaacbebcbbedacdbeedbeebcccbadbbbddecbbdddbcacddedeaaaccbdcababcacdedededcdcbbcbddceeacbbcacaceabebdebebabbbdbcdbaacacdaedcacaacceadccadbacbebbeaabbeaccadaaddaedceadebeadbdebdcadabadabadcecabbccecaabaeeeecaedddcbccaaedcceddedebdaecdbaedacdebcadababbaccdedccbdddababbcacbeabdebebddccbabbabaacbabebdeacaabdcadcccecbdbcddaeabcdedbbbacdbcedbaccecceedaaeecadacbaecbbddbcbdaeeadbebbadbdadadeedaedadebecddbbccadaecdebbdeabbbeceeedbddbdabbbaccaddbeadebccdbebedbbcdabdceabadcdbcdaaeeeeeaeaedadecaabecaaccdcdbbebaeabdedabbdadcadeedcedbdbbaeadecbedbdbaceeddeacccbaccdddddddbadbdabdcceacbdabddedcebaeddeaedcbadcbcaeddaceacedeeeacdcaaccdbebaaeeedabbacceacaadeedeeabeccddacdeccebadabaaecaaaadacccdeedebaacceebeaeeecbbdeecacceacbebddaadceeeeadedccabdaddccadacceacdeadcdebebcadccbedecceebdbbabebeabbbcddcbeeadbeecbcbddabcabdbeddccecbdbbbadeabeecdbcbeaeaabaccaaedaeaadeaaaaacadcdaadbddceaeabcedeeabaadcdbbaddcdebbbeaabeecaacbaaaaccbadadcecbadeaadaacadccceedccacadcbdcdccabbcadbdcedeedaebbdbadcebedbaddaebacaccbeacbcdaebbbbeddeaddcedcedcbcebcadcbdbaedeecbebbabacacbdcddcaaddaaeaedbbeabeaabaeceedabdcacbaaeaaaddeeebbeccdaecdcacbceeceabeadcacabdbcbabdabcabcdacccbaeadcdaddeaaeedeceaddcadcbebeebccadebdbeeeacecaedaeaacbaebacbcebcabddcdaccdeaabedcacbdeacddabddcabcbaadcdbbbabdbedbacabddeaceebbacadddcceeadcecbadabdcacccacededcbeeecaceceebedbdddceaaedcbdbcddbcedaabdeecdcacdcaccaeecebccedbbdeabbabedbeeaaaebacaeccdeeaecbbbababedbcdceeadcabdbbeaacaaacacacdeabadcadedddeaddbdbbcedcabaeeccebadbdbcbcabecdbcabaadcbbccebccacceacaaeedccaecacadacabcecadeadbeeedbbceaeaeededadcedabcccdbcbaecbebecaaccaeeadbabbeeceebbecdcbebdabecacbddbeeacecbeeaecbcbcbcddbbceedababcdcabaaeebcadaeacdbddbbadcedbaaaeccabdbcebdeeaeddccbeacbedcaeabdbbadaebabbcabeabdcebeaacbacceabcaeeddddeaeabcaeeaecddecaaacbcbadeedecacecbaecacdcceaebeacacecaebdcbdceebcaedeceaaebeaacbadacbdbbdceeddcaecaaeeecdccbedbbddeceabbaebedeabbdceed
+beedabaadbcaccbcaeedbbdbabbbbaedbcaebceeaaeebdaadaadeedddeecbcbaebeabddeeadedeeaabddabcebaeccbdabcebbbaaecceddccbcceecddcaebaeeabababdcceceacaadaabccdabaccabccceedaeddcbabaeedebcadeabdadbcabbdddbceceabdbaacbceebbeaeadeacdaeaddaaddcdadbcedabbcbadedcbcdbdcbaebaebededeebddeeccdeaaeacbacbbcaacaedaebcaabaccecdbaddcbcccabadeccebbaebbdcbbcabbbecdeceddcaedadaaecddaaddeeebdcebeaccaeacbeeeabbbdcebeddccabdebebeeeebceedbccbaabccaacedecdcebcccdbbaeacdebbcbeedcaecacabcbaadbdacdebebabaaeaecbadccedceeacaddbebcdeacdcbbebcacddedcacbbcdeaaddecdacedbcdcacbddacdedbcedeeddbeebbacaebaeaedeaddbdbbceacddcbecabdcdceecbaebbbeddeddeddcdedeedeaebccadabdbcaeabbadbaddeeadabebcbbedbcaaebeeccdeaeaecddcaebeddaaaabdbcbabcbeaaaddaddbbdbabaddbaeccbadbdddbcbabaebabddbdbacdebaaaecbadddecedbcbdccebbdeabbdebbcbcaebccdadceeeececbebabeeaaccdbaaaadacedbeeedacacbadaeaeddbebdcddbeaccdeadeaecaaeeaedddcedeaaeccacaddccccebbaccdaaccdeedbddecedebbcecaeeabacaabeedecdbdbcbddecdeccdaaeeebccbcccacdceebbaabcacecacdeccddddbaeddcedeaeabdbbcbbcbaeaebeedeedaedbcedeeaaadeaeceadcadbacaeacdceaccbebdeeeadeabeaebceedcbcccaccccddbbdcdabbaadccddbdeceadcbeceddbeaeaceccdebcccbbdcdcecadbbdadbaaebcacaeabbadceebcaebeeadddcaaeddcebdceeedeecebdedcdadebabaeadaaabeccaacbbdcdeaedcbeadbbddbdcdbabdaedccedbccccaeadaeaabbceadaaeadaedcbdcdeacddcaeabedcedcecbdaddccebecbebacbcadcbadacbdbeccedcdedebdadbbadccecadbcccadcabccdeeabddabdeadabbbdccadbecdabaaaedacebceedacaeccecabcdecebededbceebddaabeceacbedeccadddbcdcabaecdeacdecacececdbaececaebebcecbaabebbdbedadcbcabececeaedecaccccbbddeceadadabacbabddbebcebdcccbcebeceecdeadadcbedeedaeeaddeedadeeaeabbcecebcbccbaeceeadeecdeebdaecaaeacbbdcdbebabaebbcdcbcdcdecadacbaeabaaedcecabeebbdcbedddbaaaddeedadcdbceddbeeccdebecaccaaacccddcceeecbbcdbbdadbbcaccdbaacbccbceaaeebeaabaccaeeeabeeddadbccedeeccadabcacdceeaadbeceabecacabaccecaddedcbacadbceedabaeabcaacebaceecbdabaebdadcccdcebacaebaaaedabbadeacbbeaddaeabdedbdbdeadbbeabdadbbccdedacbbacdcbbaadabddcbbddabecaabebceeeccedccaceaccadeccdddacdbdedbcadaceeaabacebdbaccaeaeeabedebebdddbdacdddebbccddaadadedcdaaeaaaebbcaedacdcaaebeaaecedbbbebbabcdcadaaedebeebccdceccbaddaadadabadacccdededceacacdeaddedadceabddaebaeeeaaebbcdccceacbebcbbbcecbeedbceeebbeacedeceddbbccedbddcddcbcdaacbcbabecadbabcbeabdecbcadaaaebaedeacacdceebcadaedeedbdeddcceaeddbbcbcecacbdadeadcdeaceceadbcacbaaeeadceebeecbedcdcaadbbeebbbcddbadbdcdeaababcadbbbdcbebeabcbbdacdacebbddcdadbaddedbbdcbaddcbabeaaeedccaacdebddebeaddaadcebbdceecebacbddabbcdaacdaaddecddadabbcbeabdedabdbadaeaabccbbdacdbddeacaedccaedaebecbaaeceeeeaecdacbebedcbdbbecedcdbcbaebcadbaaeacbcbcececbaaddbbdadbdcadedaecdcecdcbeebbcbcacdbdbeacdbddbcbdedebaceccbbdadbbabdcbbacdbeceebeacccaaaabeccdecaaaeeabaedbcaeadacabadabbdcbaadaecbaeabecdaaeddeeadddbbabccacedadbbdaccdbdbdedbaebbbaeedaddbaddaecaaabbeecebaccceaabcaacaeebbcadbabedbdbdaecdddadadaeecaaecacdbdcccabcacebdcbdcdbdcaaecbcadcdaecaeacaebaebdeaeddedaceceddedbdbdeddddeeaaaebadbeadceaadbddddacdeddebeeacbdcecbccbecbdabaaaadcababcaebeaedadcbdbabecddaaedebdbdebbacccabcedededdabbeeaabaeddaaebbedadeeeebbcabccdeedbccebdbcecebcacdbdddebbeeecaaebadaadeaecaadcedcddbededacaaeabdceaaddacaccceaacdabadccbcbdaddadebcbeeaeeaeccdebeabbdbeeddaecedbebeaebedaebbaeabaaaabaabaadeeecbbcccddebbbceecdebededeccecbbebabbdebecdcccccedadbdceaaebcbbebbacdacdbaeaecacddceaabdacbadeeebabcaeaadadeaccbcdaacbdccadbcaadbdcbaccbcbbaaacaabbdecbcaaeebddaeadccdecbdbdaaeddabbadeedabcaabceccbecaceceddaadccbaaaadeaddabaaedaacdecedbbcdcacdcdaeddacbebeaaeaaaadaebeabbbbeedbcedecaebabccbcdbaaecadaaebbcaacadccbedeedbdeaebbddbdbcececaadadbacbcbddbeaeebdcedbddabddcebbdebabedcaabcdeacecbeaeebdbaeacbabbebbcbeceaacdeecbebeeaaccbeebbecaadbadcaddbbecdaccbadbeabaceceebeedbbaebdeebeabdadcbedadeecebbbcabeadcadabecbcbeadcececbdebdeecdaabaebcaddaaebddabeaacceebcbcddeadadbcceddeadceebbecbededbeabbabdbdebabebdcaaae
+bdcddeeedcdedacdcebbaeeccebdeccbabdbccdcedaccaccddddcceadcedcebebbdceebcadeecabdeadcbaecbecccbcdecdeebedddebaeccbaaabaeacbdabebcceeecaecddcaceedcaaabbbbbcecabaabcbbcdedbbcbbcacceadededbaaaaeabbebacacdebaaaecceddaaacaaeaceeabbedaceaaeabeeccdbbedcebcaccbdbccabcbabacaebdddebeeabccadbdebbdababbccbbccdaececceddddebaabadeaebabcccbbceecacdddbbaecaabbedacaedcacececbaadcdbaeedebabcbdacecedbbbabaeadebeabbceacbacdaeedabbbedccecaceacaeeeeceadaadcadbdeedeacdebbedbecdeecadebbeeeeadbadecaadaeacdacdbdadebcbeccccccaeebdcacadcbaeeecabeaccedcaeabcbbbdddbabcbedbcdeaeebbbecbcecceccecebacbaedaeeadccaececedeeddeecedebeceaabdadcabbceddcbcbdcabddbdcdccedeaaaeeebdaeebeadebeeccbebcbaeaebcdbeaaceaedaaaacbaeaddaaabecbbddbbeaccaaaeeccecadaeeaacacedeebccbdbcccbcdbcacdcddeaeeebacccebcdeadeacaddbbdacbecbcceabbeaeaedaedcbebbddddbcecbcbdcdabebdaadbeeeccbedbeeabcceeceadbbddadceacedddbabcbccbaadbbebcdbdaddcccbabedcbaabbadadacbbeadeceebdeadebbdabbccaebbadabddceabcbdceecbcdcbbbbaaadeeaaeadeacebedcdeccbaabdcdecaeeaedabeecbcbdccadeabdcbcddcbdeeeabdedacbdbddabdddaeebbdceededaebdcbaecbcbabdedeabdeaddacbcbbcbdacedadaceeacaeeabdcbbacccbdebbcbcbbebcdadbecbdabceccdbcccedadceeebdeccabacabeccbdeaabebbddeeccaeaeeaeaccaadcaeddcbbadbbbeadaaebccaaebeeccadadcecdacdcccdceeabdecacdbcccedaeedbcaceaacceedddaeaebcaadbeccbcdbaeadccadbeeeaeecabebebceeecedecacadadddedbcbbbddccedccacadebeeaececebcdebabeaaddeedcaecebdedaaeeceaacebeccdbececdbdcbeacadbacbebdeacdbbacdbcbceeacebcaecacbdcbbecceeeacccdcbbbaaddedbcbdadeaddadcbaadcbdaedecdbddedbcabdcaaaeabdcceeeeaeddeadcacebddaabeedecdcedbecccbbaaebcbecadbabacadabacdabceeecceaedbabdddececdcbdedbbbcaabeaaaaddeeabedaacadebaadbebedeecaebccbbabdbeecebecdcaedecdebedeccceabbcbaccacbbedbecacdddbaaaadadecedeaeabcbeeeecebcbeeabcabdddabbeedaacbeaaeabdbcecaaeadeaeabebdcbbcecbbabbcdcdeeedddbeccdedbbadbbabbaedeeaddcdddaaeababbcbedcadebaecacdceedbccabddaebabbcadecbbcadaecebebbeaecceadabcdcdebcbaeddeaaeccebeebdbdedbadeaadeaccebebdeeacaceaedcdabacebaeebccedddecaebedabeccbebecaabcdabbbadebcaeddbeceaabedbdeccdbadadceaadaebaabedcabadacceebccbaddbccdccbeabdbceedacbceedeecaabeadbccbbabacbccacceceeacaaaaeecceadabdcaaeacdbebbaebaeeeccbeedcdbcabedcdcaaccaaaddbbccbebeadbadedcdbebbdadeeccdcaeedccddabaaddbbacadedcdebedeaaecaedecdcdcddbacbcdaddebeacdecdbdaaccbabbddeadbbcdbbdcedecbdccecbabacdccacdabadbbebdcdddcacdadebbeceeedcbebbcaebacedebcdeeeeebbadebecdddddbebcababecdbceadbeeabccddbbacccbdbcedadebbcabaaebcbcaecbabaacbccbabedbbdddeeceeabcaccaddcebdaabdecddabeecdaaadcccbbcbaaedaccbbcededeadddaaacadcdeadecbcdabbeecbcbbeadebdadedaabcacbadcbccceeacbdacecaadebeddaeddccdbccadeaadbaeeceeddeacedecbbecbcaeebeabcacebbddedeadeebeaebbeedddbbcedccddecaabbddedeaeadaaebcdcabddbddaeceaedbdaeaadcaecbacedeeceadcdebaaeecdacadecdccebdeccbaedbdcdeacbdadbdceaaadceabaccddabcaebeacdadbbcebcbaddbaecdcbbeadbddedeabbbecdcbdebacbdaeabebccdddacecccadbadaddadeccbeacddbcbeadbebcdadaeecadaedabdbdecddddebbceaccaadcaddcbebacabaceabdceedbbddeebdacaaaeadabebbcccdceeeadebcab
+deaeccddceaaedbaebbdbeebcccdbcccabdddadbcbedbaceaacabdeadbeaeaddceeccaebddddadceedacaabbbadcbdbeaadeededdaedccbedebdeeccddacaaaaabaaabedccddccbceccaaaedaebddaaabadaebcbcabcdebeaebcdbaaeedcebbabddaeeeecebdedeaacbdeeebeadddebaeaedeaedcbbadeceaadabbaacbcadbaeeadbacbbcabbacdabbcecdaccbacdeaaaccbebecbbeebacbbbbaaeebcddaccbdabdeaabddabedeeabeebaededbbbedeadaedbacacecbeebaecbebaceabeebebccebcbcacaeedcbaabacdcadeebadbaecdebbaebcdadabdecaebecabbbdbebcdaececbcaedcdbbcbbedccabebcdbdddbecbcaaeceedeaddebbccbdaddcdadedaaadaccdbbebaaeeaececcbaaebbdacbabcbbaeeadcbaddeceabaeebacdeaeaabedebbdabdbdabbadebaacecebaacadaeddebcacbbeeeeedabdccabeaddaaedeedcedbdbecddaabdebadecbeabdeabdeceabbebeabecbaeecddeacedcdeebabccddaebdaccdeebeabceabdbabeabbbadbdeadadcadecdeeebcbececaccdbcceacebbdbdeeddaebcdcaddceeeaebeddadeaebabacbcaddaccecaedcbcdacddcbeeeaeaeccbdbecbdaddcbdecdedbabbddcdcdcadecdbeacbbadacbcecdabbbdaecdccdcadbedeebdebdadecacecadbedbeedeebeeaabcbdaeebbbecdccdceebabdbbbeabceadbbdaabaeeeeacddbdaebcdbeadbedbbdabacbcdbcddcddedebbabcaeabbccdecbdadcadcddededdbdedecacbcccbdeacdbcdeceaebedcbcbdaaaedbdeeeccabcbeebcbcbacdabdceddcabaddcaeccccbdcdccedbdcecaaeedbcdbecceccdcdaecbcccbbdbccbceddedcaebebbbeeebedeccadadeceaaedececdaabdededaeabecbdbaadccadaddcbbaccdacddaabeecdeadadbadbeaedbedeabaeeaddaeeeacbccddbbececbedeaacbbacabcaacddddaedbcccbbdaeeeaedeeabddceabdbadaeeeebbabdeeeadaaeddaacbceabedebbaccecdbcddbdccaccbdaeeaccbdceeadcbbcacccedccdeeaaaadadbcccabaacaaaeaeebbadeaeabacbeadebaaaddaaaccbebaccedecdacddeedcbdbdaceeddaedecccbaccdddbdcccceedcedadccecedaeeddaebabbdbeabbdbdeaecbceaeaedccbcbeccbddecbbaaebedebeecaccacacebdbdceedadebedcdcadcbdaaccabeaaecbbbdcccbbcbaabaceaabebdaccaebbdcabbdabacbbdaeeaacceaadbeebcadaebadabeccbcbcaadbaeebcbbadaaadbdddbcccbbcaeebaaaadcdbdcedebacadabddaadbcbbbddacccaadebaeeddedbddddebdbeebebdabeaaaeeebabecceeedaeacbddecacebeacaddcedaadecabcdacccbcbccddebcdacebbadedbbbbeeaaaacaacdbeaaadbecddeeadeaabdeadbbccddaeaddaabcaccecbeaddaaccaedddddbaaccacaebbcbabbcaeedbdbcecadabebcaccddabbedaabacebdbaedeecedbcebabebedadcdeedcaeabcacecbedaabedddddaededcebbadcaaaacadabbebabeccadeacdbeaedadcabbddcdadceccbcdecdabdaeaceeedaccbeedccdbbbbeeaeddcaecdebedabeeaaddedbccbdbaeeebebdedacabaeaeebcdaeddddcaadebeacdcaebecaceaeaaccabbbccdadcbbbbeebceddcdcdaddeadacbadccdcabdbaabdbcceaddbcceaecbbaabebcdbcbeeecacbaedabadaeaabbcbbecbbdaecccabecbaedecceedcbdccdedabddededaeedaedcacbeeddabaadebbabebceaadedbecbecacbcbaabdcbbcdaaaedadcdacbadddccbbccadcbeacabeadaebadadaceedeaccdedebaabdadcaadcbacaeccccdccaaaacdbacebcbaaecedbabcebcbbceabbbdaaddcacdcdebdbcdedeedecaaedcbbcdcecdcadcaaedbcdcbacaebbacdaceebbbbcbdebdabaccaceddccbebeaedddbbcecbadbebaadbccbedbbdeeedbdccdbbecbdeebddcdcedbaedeebaceaebdbedacecaedeebebcdeeebcdbaeeacbeebedeadedebacceeaecbdcbbebebcdbaccbaddbdecabbdcdbbdecebeeeaecddaddeaaedbdbbdccdadbacbcabebcadeceaeeeadadceeddcceaaedcbbbbcbeabbcccbcbbebccbdccdbceaabecdbdedededaedddcecdaccbaedadcadbeedaeeeecadedccaaadeebbbbdeaddbceaacdaadcbcdcbccbdcaeaaacaaccdadccadbecddabdabaaacecdaeeadddebbacecbbaeeecddcdadbbbddccacdcddacaadeadebcdebdcceadbcbbabcbcbcdcbaeeaccdccdcaababbdcdeebcdadeabccecbbeeeeaaeeddbecdaacaeddcaacecbcebbadebdddaccddecbebdbddbcdebecebeebbadcbeabdddbbdcdcddebdadbdedbacbcbacbecddbdddcbebecdaeacbbddaadaadcdcbeedaeaaddcddeeeaeededbcdacbbeddadcbeaeddcbaeceeccacdbeaeadebacddeccabdcdebcebceeaadedebadabdedcabaccdcbbabedcdaeecabccecddccebdcebbedadbcdeddacddabddabcaaedaadbaddaacedbbbcabbdbdddbaabddedaebaaaaaddbbcecdcceebdbaacacebabecbaecdcddeeddaaeabeaabedecddcacbbaadaedaaeedceeebddebdbbbbccabcedbccddacdaaebdbcedcccdecebccceebadbaeaabcbebddcceddedccababaeadaababbeedbcbbedcdaaaccbedbbceaeaecbceabadbabbeedcedaebdbededeacbaccbdabdbaeaceaaddcebdceccbcecaadbeaddaaeaebeebcaebbdcbcdbcecbcddcdaedeecadcdeccbccdaccabacddcacdadedcbdcbcabaeebaaddeddeabeebdddaaacaeeedbaaddddedaedecceeaaaddabaeaaecabeeabdabeccddeedaadddacaccaceeeedccbcdccccbacaacecdeebcdacbedadcabeeecdcbcdaaedcdcbebebaadedecceeceecdababaecaeccdebdbdadaedbebaeeaeecceccdacccdabbbdedccbeeececddeeebecaddcdbedeabbeeaeaccbeeaacdbdbdedddbadbacabeebbdabbccbbdaebaecbcaecebbcacdbeceaceccbaebdeeceabbaeccdadacdcecaeccdcbabecabcaaddcdbabaddbacaacadcaccbedbdddaeadbcccbdbcdeadeecbbecedabceeeecaecedecdcebdbcdbcaecaebeacedabddbddbacadbbadaebdbbadccedcecacbbadacbaaadccdbcbdcebbdddedbdedcdeaabbaaccbbdebcedcdbdacedaecebbbcebebdedcbeedaedaaeebcaaaaddacadacdebbbaaeaebaaceccecabcdaeabaddaedaadecedbcebbbddaeddcccaadabbbccdbdaaddebebbdbbaeeddeddbaeeededceabbacaaaeccaeeaeecccaeaccdabdcbebabcabdadaeddbcabcadadbbdaadbbecdbaeeeacaabddeaadbdbceecbcdbddacaedaadbcdbdaeeccceadaeebcabdccadabdabceedcbedcbcdcceecdcbbdadcecababacbdddadedbeebbbbeddabcbcdbaacbdcdedbeedeeddbaecccceceecbaebbacddeaebdebcddedcedbcecddddcacdbadebeccdbdccdbcedadbacddebbdecbaeaccceabaaddceecdcbbdecbadbcacbcdecabbbdeeacacbbbcdcaaaecedaebdeeddecdabdedcdedaddcbccdcbaabbcedededcdddeeedabbaadcaecdeacadcebabceacedbbbddaeacaacdeddaeeaacddceceddbaccdbeabbacbbecabbbedcddcacdedaadedecbabeacbbcdcecabaeddeacbbabccaeacdbecceceeeacebbdeeeebdbbaeebddddedebaaccbaedcebadeceadecadabeabaebcdccccceeadccebeececadacaedecceddcaddcceeddcecaebceadcbcbdaeebdcbcbeeadccabbacbbcbccdecaebabcbeedcdecdaadccaaaaebcbbebdedeceaeabbabdccedaacbeaeeebbdbdcdacbdddaedbacabbdbaedabacdcaccaaaedecbaaecbcdbababcaebeecbabbabebecaaaeccdbdccbedbceabbbbcecaedddaebbcdacabcbbcddcadccaadccbebadbeeeddaaedcbedabaaeadcbccbaccdeddbadaccadbbdeadbcbadcedccdddeddedeacdedddebadeeecbcbacdaaebaeababaaddebbcbbcdeccbaecdadadaecbbdacacebacdeeebcdcdadedbabebadaabadbdccbecebccedecadcedbadabbeeacebeedbdebabaceccadcdbbcaccccbbbebcdcdcddbaeaaadbedccadeecbedabdcdbeccccbecabedebeecccadbacccabbeebbabdabeaabbbeeeabcaebddacdaabdbadccacbabceccdcbceebccbdcedcdbabdccebaaaedebecedaceecbdcceabdadddabaeebcbdabbccdbaeeaeddccaccbcbcdeabbcebdeecbeccbceacedecebdacceacddcaebdbdbccbbbdebededdccababcdaccbadcecadddecadbcbdddbdcaaeecdddccdeceaebdcdeebaebeddadbaedddaebedcacaebbdedaaaecdcbdaaeaadbdbbcebededcccaebcebdaabbbabdcbeaccabedbdecdbaedccdbaceceabdddbebdecdedcebdbccbbcdddedbcbadcceceaadcaacdeeaadeccebdeddeabbcadaccdcbacbdcebbaaaaddbaaadaabceedadbcacbabbaceabeeabaebeaacaaecddaddbaaeccdebaacaebcbbdbeeadaaaedebbedcbbcdbcacaaddedbacdcccadbbabebacacacaebdebbdbaeaabbddcbccacecaadeeceabeacbdddbebceeabcbdaaacdcbbbdecaaedebcbdcceedaedacceaaebaecbeedeaebbddcdecdceaadcebeadcaeeeabcadacabcebeebdebbcdcccceedddbaebbbdeceaccadcaaeccecadeeeddeeecbaabebdecaaceaaadcbcdbbbbcaecbccceaaebecaeecdacdbebeaacacdcebdcdeadbbcebbccdbabbeeaadddcedddaadadabacdebdcacedbbaacbbdedcaaadaacebbbabbbcccbdaecdabacaacdbbededecdccccadcecbdedcecbacaecaadeeddcdcdedcbedabdbbcebaccbceccbbbbaecdeebbddaeaebecdceebcaedbeecdbecedbaedacebaaeeaeeeddebedabedcceaeebdceabcaccaedccdabbdeaabcaeaccbecaaccdebdedabcacbbbcdacccaedaeccbceedcbdebbceaceebcddcceeeceadedbbcbdadebeeaecbdddaaadccbeabeeaecaaecaecaecebddbaaebccedbdcccabeabecebaddcbdebbaccbbcbeebeeacebcacdcbeaaeaaadcdebdceeedbdbedeaaeecdbacdaccccdbabbddeadcabdbeaebdbabbeeabaaeddbecdadbeacedccbeacecadabeadcacceaeddeeddeabdeeaeeeedabedabebabcddcccedeeeaeddaddaecbaddaceeddceeedbeaedbceeeaeabbccaedaccdaddbeddcccebbacbddcbcdaccbbeebacecddbeddaacbaedbbceccbadeecbcdbbecdecedabdeceeebbaaaeeddabbabceceeeecebaabbccaeeddeeeddcadbdbacdbbedbebbcaabadebdcdebbeaaeebedcdaacbdaacaebececadaedbccccbadccdebccecedcecdcaacbcceaabcbadedabbeeceaccebaeaacbedbbcdcebdcdaaaedcbcbcbaaadeecddeddacddebeaacebadabcadaaebbccaaebebdedebeeabbdeaeccaaabcecebbaecddbdceacccaeacdeddaebbaecaeabbaeabdddaddadacaddbeaacaadcaaaecadbbeaaaacedbaaeeebbabeeccdbccecbeabccebbbedaecaacdcdbabecbbecbacdbbebeebbeedceebeeddaeeccdebabdbdbacabecaeeccacdbccaaabeddaaedadcbbbdaababcbbbdadbbceabdbeecaaadceebcaceceeacaeadbdccbeaebdeddbdeeaabecbccacabaaadceeedcbccaaabddccdadadbecaabcddabecdadacabdaedabeaabddeeebdcacbceaecaeebdbadedaadcdadccabcbeaaeaadbbaddeacddeacaaeebdddedeabeeaecdbebccbeaedcdcdebcbdaaedbcceeaeddeecebeeaeabeeebacedbaaaebebeacdacbaebdddaccdcadcccabcadcbecdbdbaacdaeeeecececbbcddcdbdaebceaddeaeeccabbcadedeebbedbcdeededbeeeddbaccdcbadabacdbcdddccbdeabebeeebaadaebcaddeebdaaabcbecbdddbddaddcaaebceedabbbbebeecbdaceacdebbaaaaedbaeecddccededdddceeebbeadceacdcdbbebabeaccadcadcaaceeecbcbcbcdeabcccbbecdaecaaebabaecdaecaacdcdaeeadeadeacbcbdaaddccdadbaadacdbbcadbadbeaacbaaedaccecababecbebcddcddcedeaacbaeddeeedcbaaadadaededdacabdadbebcbcceceebaccabbecabbcedbabacbcbedaebbcbbdeedcedccdddabddccabceabaaeebcbbbceecaebdeebcaaaeabbedbeeaccacadbabdecabdcedccedbaeeecacecbdaabbdbcbcdeeeecadecbeebdabeddbdbcaecaccebbadebedbaaaeeaedadedebddbeedddbadacceeeaaacacececaeeccddaebbacaecbbcbcaadaebbdabdeeddbedabddabddbabbeccebbdcacedcdedaaceabadeeebdbccbcaeaaeadadedbbbeacaabcbbbeeddbbcbaedbceeababcbebdedbdedbaecaabaabeedaedecbecddbbecaadbecaecdedbbccbbdcaaaeccceadbbaeaacedcababaeaaeebcaccdadcdcbebaacebabaabaddedbcbaeeacbcaedcacedcabccbbcdedeabcdcbcbcadcbdbcdecaaebeeeebddcbdcaadaddecaeddbbeedbabdacaaebadaacbbdddeadbebadccbdeeddabbbdadbbbedeeecdadeeecabecdabbdcbaaaebebbcebecbdabbdeaaddbcecddeeccbdddaedbaabaacbddeddcadccadcaaaeecbdbbcaadcdbcacacdbeaeaadeaebdebdceeaeadcabebaddbdebbecdcddbaaaabcddbdbcedaccdbeeaabcdeabbceaedabbcecbabbccccecabbbcbadbbdabcbbcbaccadccdcaeeedbcebaaebebebbdeecbccddcbedbdaecadcceededebcedcadabeaaacbabcdccbcdedddecedecadabcee
+bccaaccecedbedebadeedceacadbaaadeabeebecacbbcaeaedaeeabccaadaceeeabbdeeeddaabbeeecdeebecabccdbceecdeeedcbabceadababdcbececdcaabaecababcabececebccaaeadedbabbbccdbbeddddcaaaebdbdeadaddcddadcadbcebddebebcccddbbacbddbddaabbbdecdbdcedacaeedabcadcddadedbdcecedbdaccacadabcbaaebacbeceabcdbbcdcddbccdbbbcddcbceebeaeadddabccadeecedadeecaedeedaccdacbdcbeabbaeeddcdadbabedccddcdabaabbccabbdcaaeeddcdadeebceaaecdbebbcaecbdebbddbbebbcedcecabdaeeaddddccecdcdcdcadebaceccaecdcdaacacabcbbebbdaedbdcccdabcacbbeaddebaeccdadeecadbbbcdceaadcecdbbdbbcedcbcbebedcecbeecdececeeeddebabcdabbaedeebdeeceacabedeaaecbdeadbdcddddcadebbebeebaeccaaaceedecceccdedadaadadddbaccaacacbecbaabcdeabeeeceaaccccadcddacbdebabbaddddeaccaeaeaacaaabeabeddcbaaacedbccaeddadeeaabcddddbcabcdbaaaebcbbdeecdacccecabcbdacceedcacadeeabdddbcabebeabcbeacaddcbbdbacbdbddbeababceceabccaaeedbeedbebaeabbbcebbceecdddeaddddeadbceebeadadbebeacccccaedcedbbdcbadedeeabbddabcdbaeadedddeccaceddabbebcacaebacabbeaccddedabcaadebdcdebcccecdacddecdadcebcaacabeaacdcccebaccabcaeeeadcdaeadaaebcebebadccedeadcceeaabccddaddabddadecbbeeacbceaaebadcadddeeadbcadababdaaececdadeecaebcbcdbbedaacabadbadbccbeaceecbdcbdedeaecccbbdbeedaabedbacdbcedebceeabbbcebdecabbedbecccdaebadbaeadbaeccbbebebdcddcdebddcebbdbdcebaddebeaddaaadeebeeedcedaeceeedbcdbedbdcedebabacdbbdeddbeeeadbdcbabcbcaabcaeadbcddaaeacecbebbcbbdaaeacdadcdeebeeaaeaaeceeabccbeedcecbbdebaeeaddedddacecdeacbabceddcdddceaebccecccaecaebbbaaedbcdddaccabdaabeababccabdbecaedcbcbadabdcecebaabedcdccedeedeedacaeac
+beeadacccceadbbdbbdecadbbcadcdabdbaedbbaebaacbcddabcbaccaddaeedbaabbdccbbadcbabdaccdaaebabbbaeebcbaebcbaecebddaebcbeadebbcebedaebebeadabcccbbbaacdbbaceadcbbebdebdcaddeddbeeddbceaedaaadabaccdecbdcedebaddaeecbebdbcdabcebcecdcdbebecbeaedbecceaedecadadbaeceaddabcbaddcdbaddbabbccccabcbebbccccecacdccccaeebacadecdcdccadbcbbbdbdacbdaebedcdbedaaecdaebdbbeebeeeaddedaecbedcdaccacecdceecbbbaeccadacaaeaacabbbedcbeddeededbadaacebbceadceceebcdcccedcdddbdcbccaeaadcbbacabdbabebaeabbdeaebbeebdecbbbeabeecacdbacbaabedeeddddeaedeebadaebcaecbbcccbcbecacddcabddbceebebaedccedbbababecdabeadeccddacccbebedbbeacdacdccdddcdcaeadcecacddeadeccaedcaaccdaeeceadedeeebddebacbdeabbadaaeabcdeedebcaeddaaadeddbaddaaeedeecaaaaddedbbbdacbebcaababdadcabdabeaaecaddbacabacccebabbcaebdaadccdeeeddadaaaadcbabcbbdbddbcbabddbbebdbcaddddedeebabebaedeacbdbeddacaedeecedadcaceadbcecdebbacbdeaeccbcbeedbbedbbbdabdbddcaaaecaaedcbeabbcceaaddcddbccaaecebbaecaaceebceebbddbddacdccdeabedeaacaccdaadeabbcecdacabcabdeeebdbeadbcddcbcacdddeeabaaaeeabbabaecedecadbbaedcabdcaedabecdadebddaceeabcdcaeaeedbaeabeaadaebaddbdbcccddbbdbececdccaaedcdabdcdebaaddebbddabcbebdeaacacebedbccccccddacedaaaaddecaceceaaaeeabacabbeadcdcdcabddeeceeeabaceeaedaaddeddcdcbbbebaabbcacecececcbeebabbabbeaeeedeecbedecbcacacecbbedeacceaacedeeaceccadbcaaddcececdcceeadabbdaabbdaabadcdcbcbdceacbacebbebbbcedccdbcbabdddbebbceddccdeaceacaabeabccdccbbaccedcaadadaeaceabcbedacebdbaadebeecdeaddcadebdeeaebbdedbbadbaacddbeedbddeababbaeacdcadaedbdbcabcbdaccdaecaaccdadbadbaaebbedeacbeadaebcdadcebaaabbddcdeebaeebcbadbadbbcbacadaecbddcdadceabdaaeeaeaadaaeadedbeaadacecacbaaaeebebbdeeaecdcabcabaaabdeeaacddebabccadcabbabedddebeccaaabaccdabdcebdaaebbdccbebbbdcecceaabacbcdcecacaedbcaaabcdbccaebacbcccbacbeeaacccabdbedebaccdbcebeaaebceacdacdeabceaecddaabccbccecdbdeeaeaecbecbcbabcadbaccbbeccdacaeeaabbdaccbbdcbadbdbdcbcadedeaedaddcbacacbaaeeebcccdaabcabbdddaeecdbcabdcacecdcbbabbcdebddeebdbcbdccaadccebddebdeacaaabadbdebaecddbadaddeaecbecaeccccacdcedbbeacbbdcaaaccdeacabaadebaecbceadaeedadedbaeacedbbeaeddacdbadccebcdceaeeecccdebcceceadedbcddacdbdceeddbdcabdeebebbaaabdabbeaeceeaabceececebdaaccbaebdaebaebcccacbbebdaeddbcbdddbdcbaebcadcbcddceeeacddddaacdbadcceadbceedddaabcaddaedbbcbacbebdbedecadabcbccbedeeeaacccdbbabcbebbeebaebabccbddedddabdcdcdeebcdcbbbacdbdcabaabeacdadbcacddcabcebecdbceaeabbcdeabdadecbcdabdeacbbabaccdcbddeabccbaebabddbcccebdadebddaaecbbbdecbbdaeddadbdbcdceaddcbdcecbaebdbcdbecdeadccaeeeeabcabddbcddddccbabebaaccaeacaacccddcbdbaeaaddeaceebceebeecbcebdddccadddbdbceaebbcbceeceaeeeaaeabccaebdccababaecddabbcdbebaabccaedabeccaaaebabedecadebcebcdcdbadbbebadbcbdeacaadddcaebcdbaccdeddebccebcbacaaececbeebbcaeadceedbbcccdaaeebcccbadaedcbdaadbbddcebcbaebcbeeacdceecbaaebeadbccecebedebddcdebcadcecdcbcaceabbaceabbbddeccaaacdcdbbbecadbdecdacbbcbeeeeceeeeacbeeacedceebacbecaabdcdcadbecaddeaaeaacdbcabbdbdeecdcedbceadeeccedebebdbbaaecbccedaceddcbeeebeeddebebeaeeabebbdaacddaaadbcbccdeebcebcbaacebaabdedcaecadeccadcbbbbbedbebbeddbdbcdebaceebecdbdebcccdeacaddbdedcaabaeccccbcebabdabdbaacdbeeeabeaeedbbddedceececbddecbaceedebbeabcdeeebebbdcbadbcdcdccbaccdaeccddddcabecdbdbddebbbebdceaceadaeacdcaadeeaddddcbdbdaecbabcaeebedaceaddaaecbbbebedadcddecdbcdcddbbdebeacbaaeaaebeedabccbdcdeebccdbbabeeeeeabaababbdebbcebebeaededcddcebccdeeaaadadddcdbedaeedcaeadbaccebcbedddbabdcdeaecccbebcdcacacdedccdcdddebabbadbabebbecedccccdedebdbcbcaaebbdeedccecceaacbbccacbdeaaebdaccbdaedbaedebcecaadeeaccacebeeacabcdcdddeeeedcebdceccdcedeeedcbcddbdacdcbebbeeebebeaaeeebadbbbeddbcaabbeedbdedebdbacbbecdeaccdcebcadaadaeeeddbadeeeddcbdddebdeeecdacaebaccacaebecedbebccaaccaddbbdbeaadadadacaaebbbcecaddcebbadebcdcddddcddadacdbebeebaeabedebacaaabeebcdeedcacdacececaaddaedbdabcbdcecdcdcddaacacdbeacbebdebdddbedccbbdbebbaeccbcacaacddabdacbeccbbdcbaeecdddbbabbbdeedcbbccbacbaebeeeeeddebdceedbdbecdaeacbedbadbcbccbbabacadbaeeecbeaddbdabbdcdecedecdacbcebdeacedaacdedebcbcdbdeebddbeeacbeeababbbaebaccbbdbaadbccbccacdeedbdaaadaeabcbebecebcebdaecaeebdcbacacbbeccecabdcbeeadaaaabdbebcbecdaeacddebbeeaadadbaacaedebedaeaaeeecadeeaedbceccccaceeaccbdaceddcbccccadcdbcaaceabcdeeeadddcdeaadcbdcbbbedcbeaeccabaabeccebacaabedceadaebdbcdaeccbdadcbdedddbaabecbbeebaeebdaedadebceddbcbdadcdbaabadbdbabadadecbbaaedcaabcccbdacbeeaccaaaeecbdbbeeaaecaccbadeddcebdddddddebebddccbcdbbeccaaabeabddbcbecedecabebbacabcaccadadcaebebaeeeeceeebddeaccbcbebadecdabdededadddabeededccdeebbecdccadebdbeeddcedecdcaedacdaadceeaddecdcacbeddadabdcbadabedecddecceaceacadbdbadeeaecacbadcacbdceabaeecaadccacbeebceabbcccaebdbaedaaeaacbbcbeebccaadccbceccdebcdcacaeaacedacdeaaddcacbeabaabdcbdbdddceeadcbaaaaeeaaeabcbbbdceeaeedbececddeccbaaacaacaacdedcaddedbcebebbdbeabdaabcaaebebacbdbbdeaedbabdeaaeabbcaadeccccddceeecdedecacecaaeabaaedadebbbdddbebeedcdeeceacaeaebdedcabbcedebabeeeaaeacdcaaaecdababadeaeabbceabeaadbbccdacaecbadeceaddeedcbccddebabeabcbaededceecbcbaeebbbedadacabdceddbabaedbbdeaababadbcdbaaecdaccddcaabcaecacbedebdacdaadaadceadeaadbbdadbeedcdbcbabadbbdaeccdebddcbccedebbbcbbdcceeeaedeedcddecddacbcebdaedbedccbdbdbdcecdcceeceadcdbceeebccebdcbcecbedbacebcaaccdecdcaaeeeddaaceabbeeebbbaadaedeaaabccedddaeaaaaabdddeadbdebcbdbecdaaaadaabaecccdaebcddabcaccecaacaddbbbeddebebececcabdeacbaeacbebbdceedccecaacacbedebcaaedacddbcecbdcdaedeeedbbcebebdbedcbcdedbacbbadceebceddbaeecdebddecbcacebdaccaeacaaedabeecebaecabdbdeaedccbddbcadbddbeeeabddddbbcdacdcaebdebebeddeaeaebcbdacbcaebcceadceadabecccbeabbdcbcbbacadcaadadabbeaaeebbdeacabaeedeeaeacdacddbdceecbccdcacbddcbabdeaacbebabeecbdcadbbebababeeedddadbcceabebdabdabedebcdddaddaeadebdbdccabbcbdcdbadbbbcecdebbeedeaaaebdbdeacbaeadbbedecadecaaabdbaeaabcedaeaacaddccdadbeabaaddedaceeaedeaabbdbdecddcbdeeebbddcabedadcdcbcbaecbadadcaaddddceecedaacadcaedebeacbaaaeedbeecacbddccaadebbceacbaeebbdddeaecbaccbeacadecaecebecdaadcaabcdeddaabdedadacedcadbdabddebbebbabecbaedbaeccddbcbedcdcecbdbdddadeaaeedccbcbdccdcaebbdaacdeebacaddcbecadddaebeddacadbadbecbeedddddedadececabccdbcaececedcdbddeeccbbaabbbabcdacddbdaeaaadcccebabadcbaccaedeeecbabcbeedaeeeaedebebbcadecedcbdeadeadabdccdeccceabbcbcdcecbadcaeecabdaddcbdecbdabcaecceaadcacddabcddcacdcebaaeebdcdeeedcadceedaebeacbcaabcaaaeaabaacadaaceebaabbabbedbeecbbaedacbbccedadddaceceedcbebbdadbeecacbaadadbaecedebeedbddbcaebdeddaeeaebeacddeedaeebabcbcebcaaebeeecadcbabdccdcebdecbdbcbbddcbedbaaebebdecccddddbababbcddabcdbcaceaaeacccdeaccbcdbbdaaabcbcbdeeedacebeccaeeddbcecddbcdeaacbcbaeaaeeaadeccaacddbeeadadededabdeadbabceedaecbaeeecabcaaaccaadaaeceadadebabdbdeeeddcbbbbbbacaacbedcddbebeaaababcdbeeeededbaedcbcebdaccddbeececbdaebedbbcebaebcedebddcdcbbbeaebeebbbbecbabaadbabecadedcadaacccddbacbcdaedabddeabadebbaeedcdaeaaebcdacbbdaddeaebbedaacebaaddccedcbccbeeeaadeaedecebddcebbccbbddceceebdaadcaeecaddbbebacaccdbaadaedececaabccceaed
+beeeeabedabbceedecbbdeddedaaedadaaddedcbdabecedeecbedbccdeabddcaadcbbdbadaaaaaeeedabaadbaabbdabbceceaecaceacaddeadaacdbacdaaedaacccbceccebdcbdedaeeaabddbdbdacaecddaeeccadacededeedcbebaabeaadcaddceabedacccadacceecebaecadcaaaceccceecabcbbabeaecabededeccbbaebaaeacdecaddaecdeebbecdbdedcadddbebddbebdbacacacebbccbddeddcadebcceadadadeceecdaebbaecdbaeebeadaacbcbeabcaeaedbdceeadecaaeaceeaebdedaccccdebabcaccaebdedaaccaecdcbaeeaabcecdbaecddccceebeebcbeeecedabbbcabceedbdabcbaadcbbbcdeeebeaadeceedeebeeadcaddcaccdceaadcbdcdcbdcaedcddecbbbdccddbedddcaaebaacebeacbcddbbacddddcdccdeebbbdccadcadebcceebcbdaececbcaeccadeebbddcaaeaaaccbdedbaccceabcdeabdadecabddeaacdadbedbaebdcecaaddbecbadaacddcaabbeecbbeacedcbdbaeddebbbdcdbebdecdbadcceadceccbbadaaadccbacdbdedeadddaadeeaaccbccbbaabdcbbcbbbccaacacabaebcccecdaeaaeadeeddeecbaedcebccbabcbdebecdbcbcdeecbaebbcaedaeecabdedebcaebaddecbcaeeaeaedecacccdbeaeeecdbdbaccbccebcadcaceccccaabceaeeedccaabbdecaedcbbdedccbcecdaebcbbadeeecccdcdeabbcabebbcadabaebdebdaceaacabbbebaabcaaeddaceeaddbeacecdeaeccedcdccadecbdbcdaecadaebcdababdaadbddcbceaecabcececbdeccdcededcceecbdeceadcbedbeaeaebbcdebbebdcccccbebecaecaabebcbcabdcbdaebdbbacccecbccdbbcebbdaeabdcdbdbdacddddebaaaadaddbbbaccdaaebabdeaacbdecdebabcecedabcceaedcdeecbcdcbcbdaacddebbcdcbadbbcbacaedbaecdabbbaebbaedacdeaeabedababcbbcadbadeabbccdcdbbebebecdddcddbbdbeccddccbebabdecceccacecdbdaeadbacecceedabcbbccadceabdbdcbaeedcdccaeecdceaddeddbbaeacdadaecaadcacadddbadcbeeebecbcadecdecebdaccebceceeabeebadeedeeeadbbaabdeaeadaaeceeeeacedccdacdeddaaaccbcabdaaccccbadcbcebeabaabdbcecacbdebaaeeacdeccbedcabbacaeaadabaecabcdaecadcdaacadbbebbacabbeaeddccacdbadedaacbeecccdeacbedeabeebbdadcabcaccbdeecdaeedbbabbebddeedcbbbcdcebeeccceacadecdbadececbdaddddeedcadbaddaddcceeaabedecbdacaecbdeaedcadedebcaacecbdceccdcaeaddddeaeceabdbbaedaeaecbedbdaabcdeeabbccbeabecdddccddebecedecdcbabeddabdbaaabcbaceaddbadaaeaeeceeaceeaaeadbbddeeecbdaddadcaaedaabbcacbceddcbbaaceecdbedaeccaceeecadbcaceececdbcbcbaaeaacdeadddacabecebadacdacbbdebcedccdcaadeaddbabadcaacacaaecaaeedacdcddddaeabcaddabadbbbbebcddcbdeccacebdbbebeddcbcbcbbedacdcebaeceeaaeadaecdbabcabdbbdbbdbecedccbacbadccaebcddcecdacaedeecedabdeccbcbcbbecbbdbceedeeeeecbbdbcebaaedbccacaeaaeedcecababecbedbecddedaeabdebccdceecdbaeabbcadddaacbedcceaeddcedbabadbdbcecbecdbdbeacbddeabbddedeaabadecccaadbadeedabcbedcabeceadcbcdeeaeaddbcdededaaceaadeceaeeaecbaeceeebbccbcedbceeecaddbaaebceaaeecdbbcdaedbcaacaceacebedebabdccdcdabaebdedcbacbacedcaaecbcccbcaaaddacedcdcbddecdcecaaedebcaaeeabccdeeeddedecbbeebdddbdbebcddecbbacdbdacdbdddedbcecedebdcdbccadadcdcaeaacdadaadcdcdebeadbaeaaeabebabcdcadeccddccddbdeacdceececabbebeabcadceeceecbeddbcdaccbeebaaaacceaabaadebaedbaaadadbdeebdbddbcaccbdbbeeeedcedbeeeacbadccecaecacedabadceddabdcccaecdedacdccdbebbbaaacbedeaaadcabdbdadcbaebaabcbaccecbddeaadbddeacbdacdbcaaaeeeebddabbdccadbccadeccddbecadedcabeabccedddaadbedecdcabadaecbdabacecdadeadecbcbeccacbdadaddeeddeacacbbbddbceccbadadcbceaededcaeaabbcbdcebcddbbeacdbecaeadbabdcbdbeeaeebcadcbdebecbcacabbcedeeeedbeadcdaeabbddcdbbddbeecedaaccaabecbacbbcbceddbecbdbcccaecdeadbecbccbbecdbedbebdbaeedeacdbdccdcbbdcbcdbcabaabaebceededbeadaceadbdaaddcdeadadceeccbbbdccbbaabcebabadbbddeaacdbbecceadaecebadecaaeacaceccccdecddbebdddecdbecceabececaecceecececdcddceaeadccbdcaedcebdaaacbdbaebadaeadbddadbdeadcdbbbeeecdcdcabaebaaecdeedeeedaebeceddbeeecbdddaabbdcebeaeedaceacaedcadceacdddccccaabbbbacccaeabbdbdbdaaadcbbcebedebdeedbeebcbeeddabdadbaccbaecccbcdceecebacabdbbbeddabbacacdddeddbcaabdbdbdcdebacbcabddadcaccacbabdebcbccacbcebcbddacdcdceaaebedacdcecdecaaaeeebcbeecdbdaddccbddedccaacbabadadadcdabddddccddccbadcadaeddcedabaceabcaaebcbedeadbbbaeeeadbcdbeeeccabacdeeebecceadbcebecdabccbbeecebbebbcebbbecccebeeacbbcbbeaaedddceaacbadbebeaeeadcbcbcaaccbccaedbecccabbaabddececdccdddcdeddcdbaccdacbdbccaaabcadabaaabecbadbedbaeeebbbecbdbabbecbeedcccccbcaceedbeceadadaeaceacaadeddcbcbaebabaddaccbbbeadecedbceeeeababdcdaeabadcebecdcbbedbcabadbcdbbadacdaecdcaedeeeececbdacabbeddbbaccbcbebddbbdbeeabbaecaadcdaebddbeebdbbccedbdaddedddaeaeabbbdebeabcbcbecdbbeadeeecaeeccdbaaaabaaeedcaacbecdcbdecdecaebadceccdaeccbceddebcbbeceeadabbdadaebcacbadbdaacebbcbdcbadebaceacdddbaecbdeaccaaaaeddbcacbbbcdcacacddbbecdeaaedcebabdabccabeadeeadcebdecbdeebebbaadadedccbdaedcacbcceaebcacaaecdcdeaaebbdbadabceaccabaaeaaabbcbcadcadacccccbadbbbdcbdeedceecccdcecdddbbcecadbcacaceabbcbebaaabeeceabcbcabbdddbcabecaedeebbbddcddbbbbbabaccdeaeeddddbdedebaccaaeaeaebaecbcaaaeecdbadcadbeddcbdeddbcbaececaaeeeddbdcaccdeeeccaeaabeadabacbbdbeacebaebebcbbaacbabecebadcaddadcadddeadcedbbddbbedcebcdbbdececcadabebbaebaceaebdccadaeacacecdbcdbabcaaebdbbacbeebcdbabbbbeeeecabdcaaebabcbbabeebcebdcedbacacecdbcbcacdcbbdebcbabeaceeceaaadcabbdecdaadccdedebacdbddbcabcbbebcadebdaacedddddadcdcdeddecbbbebabeacddcdebcccacdbaaccdecabbeceddcbaceaedceabecdbbdaccdcabedebececdedcbeacbeadaecdcadabdebaaecabacdccbbededabecdcdeeadcebcaeebcdabdcaedccbcbaebcddceeabbceacabcdbebddaedbebaadeaadabbeabebdcaaecadcadbdaebbaccaddcbdbeadbddebaacecebecdacecabbcdadadadcbeeacdbcbeadbeadebdedabdbaebcdedbeaaadbceeeebddaeaaccdbdaccdcbebeebacbcdcdacbbabbbdcaaaaabececbaabdcdbcbaacaccedcdacaecbceebdaaedeadebebeedeeaeededdcceebbddaecaebeddeacceaaaaaadaddcaacccebebdecaeaadccbdaacdcddacceeeecbceeabbdbcbddaeeeedcdccccdbdcddadcbbbeaabdbbcadaaeddbacaeadaeecacaaccddadbbeadabdebbbacdddceebaaedbbecdaacceacbbeecbeeebabdceccbbbeedbecccbbbcecbeeebddcadbdceabbaaebbaddabccbcadaebcdbaeecbcbeecdbcbadaaedaaecdcbbaddddbeedeeceeaeddaaaeadddcbbeaddebbdddcadbacbcecacabbbcddceddbacdadbbdedbeacacbcedadccdecacdecaaaebabeadcdeecaecaacabdcabbdcedbbeecbcaeecaeacbcededeaedbbaebcbabecedaecbeddeadbbeaedabebdbdadadebbadbdacdcabdcacadcdadecaeadeaddbebcaedeededdcdcdadddbbeacabadbbbaddedbbaabcbaadaeccadcdedabdebaddcbeeadebbddecebdbdcddbaadacaeaeededbabbcdacecedddaadadbecdbcbaabbbbdbaecabaadacdedcbaadbceccdccdebaeceababcabbeacbaebabceabceabdcdcbeecaddedeebedaceedeaadebabcbdabeeacebebbdaadccbbdeaddddcbcecdeadbaedbcecacabeeccddecaebbeeebabdbceacbaeccdaebddeaccbaaddeedaabadaadbaaadbbbeabcadcbceeabdedaacbbbedeccaeadadeccbedbbbbadaaaeaecabbbdcbabbecbbdcedeccceccbecedbdaecadddbeaaabeacaccbbdbccdcbcaadaeacaeeccccbdbeebdeceadbacbaaebbdeaaceadeeacdebaaaeceecbbccadeaecabbbdebeccabddddcbdddbcabeddeaeecedccbedbcdeadadeaecaebdcceaabdebdbccaedacbeabbddbbdddaeddeccdcbdbdddccdaebeceecdeacbeeddebdbdadabbbcadaebbdccaedddebceeacaeccdbaceaabcbdcbeaceceeacdeadccbaaadcebaecdadbcbabbdceaeadbbdeccccabdebacbdbcdeeaccdeaabacdcdecdabcabcccbadbcbeaacdabdcbabcbacbdeaacbaabeceebedadaeccecdaadabcaecdcdacdaeccdecbcddbaccaedccdeeeedbeaedccddcaddbcedeeedbcebcdedecadeaeabecabdecccadaeceeaecdeadecddbdcbaaccaeacaddbcddccacbadddbedaaaccbeabbdccacbdccadebadabdaedbddececbadcbbeeaabcadeedbeccadebdedebbadaeaeeebddbcbeaddebdabebccbdcebadbeeedcaddebcddbbeebddaadebedaeaccbdecdbaddbadddcdececdcebcaeaaacdeddadaddaeeaeeabcabecadaeddeabdccbadebeaddcdeebcdeaadcacabedaedcccebccadababacecaaccbeebdabbdeacbeacebbdaaeddadcebebeaccdcaccebbdbebeeeccdcedbdeededdacdbaedccbbabcecaeeecbcbbdbdaacabdeecdbacabbabeeedbcbaeacaaccaddacaaeabdaddaeecedcdacbccacbabdabcccbacbcbaebaddddaaeedcdecaadbcebaddeaecddaeceacebbddccbbcecacbbdaeddccbddadbadccaddddcbdceebdeaccdbdcecacbbbbbedeedacdabddddebeddbeabddecddecebabbbcedddedbedaeccccecbadecbdccdbededdbeccdbebdbacadedcdcdeacbbbaebdebcbbbdbcecccdaadcabaeabaaabbeacabedceaabdacaabdbadceeadbecaabddedcdcdbadececbeedeacdeecadebdbaddeecbbadeeeabdbddabdecabdeaadadbcddbedceddaceaebbbcecabdbacecdecedcecbdbdaecbdcecdedaeaccbcdbaedbddeecbcecedcaccabadadeebdcacbeabcdcdbbadbcdeabdeeedcdcebdaedebeaeaadbdbbdecaecbbddbccedcebbcebbdeebabebccbedecaccceacbbdcbcbececccaddddaccebbeceaeeecabdebeacdccbadbeaadcecdaeccdedbacadaabacaeccbcebedbbdecebcadcebebabcddbabeedcbcbeccdeadbeaecbecabdceaeaaadeaddccbecbddeeeaababdbdeebbedcceccabeaaceeeacbcadcebcbcadadebaadcdebaabbbcdbcddebbaebeeeabbdbadeaebabbabcdcdcebebceecedddbadbbddcdccecaaebeedcdcaaeadbcdbaeadebaaabcdedacaecaaeaeececceadacbbbcddabeabcaedbedcaaeecaadabddabaedbbaedaebadaabdeddadceedbcdeedbddccbdcedbadedccecbeaedcceecbcdcbdaacedbccceaebdadbbceeaabbaddbbbacaddaadccecdaebbabeeacccedebbbaabdbecddaaeeabeaeecceaaacdbdacabaeaacacaceddecbcdeccdeacdbeaacdbdeadaaebddcedcbcbeeaeaecebbccdbcadccedbcbabedacbabddaaccacecdcbeacababcbacabcbbddacbdcddbdeacbabdddbebaadcbebbbeddedbdccbcdbceddabcadcdbdcdeeecbbaebaeaeccdeedcaeceeedcdcabdbcecabbdbacabbeddecadaccecadadcadcdeedaddccdaaddbbdbbdbddcadbebabeccdabbcdaccbcecdcabcdcaddeeeacbacbaebeccbdeebdeddcbceeddcdddcddeaaeccaddababeceecbeaeebdcabaebcdccccadeeededaaadeaddbbdedcbcdccddbbebcccadbedbcebdabecaabccaddecdecbadbceedcaccdbeceabaeccdebdaadcaaaecdceaacebccebadaeebbdcceaacccbdbdabeebbdaedbddeebebebcadccbceeebcdddcbedcdadcabeadeaacddbccbeccdabbaacdcddcddeaacbdbdcdaabcebbbcaaeaaaedecbeedeabaabccacccccbbccadbaccecbcebdcaccbbaabcbabaeeeadabbedaaedbebebaeaeecdbdacaebbbabdcdaddaaedcbbccbcdbbcbdedbcbbdacebbddcdcbcecbbaedcecacdbebdddaaaecbddeaabbacccecdcdbdecbabdbbddaddeceacebaadcddaaacceebccebdddedcabceadabbaadedbbbabcbbcdbccdeaadbcbbbeecbcdbedbbdbbbdaccdcbbcbaecbdaeeadedacaaebcaeeebdeedcecedbbaaceaabacedaeeecccbdeeaadacaaebddaceaebecceadcceeccbbcecdaaeeebcbcacbababdabaccbdbdaddddddbdaadebeddceabcdecadeaeaabceceedccbecddbbedbdbdabcdcaaacaeaacabcaeccdbadddaeceaddadcabceaecebceadbcdeadddedaadacacadacbeceddeadacbabdebcdeeaaacbabbddeeeadccabebabdcccbcccdadbccdaecbdcaaeceebcdcbbdbeadaaebdaabecaebdebbebdadaaceabcdbdbdeadeabaeebdbbddbaadeacddceeacbbbbebceaaeaceceebdbeccddbdbbdcdacdceddadaddbecdabadccceebcecddaeeaabeadebabbadbaaceccbdbcdcabbecaebbaddbeceeccadaecbaebecbebaeadbadd
+10 5
+ddedbeacccaddddcedbdababdbbbeaddbbcdabbcbccacdddeacbbbceedadddbebddbcabbcbabbecccdbccabbcbdcdbecbeebabacbbeeddeacebbbcedabbaebaabdcbbdaeddacebbeedbadebaaacdbdadcaacbdbdbdcdcbbbacdeedaacbcdbaebaeccbeaadcaebcdebedadaadedadeebdeabededaabbcdbdccbbaabdebcacddadbadbdcdaaabccecbececccbbcaaccdccaeacabcaeadcadcbdddbaaebdcbbbaccddbebdeebcebdecabaccaecbbaaadcbbaeeeddbcddcacdcaecaabbcbbbecaabddadebdaedaabecaadbdaeaabdcdeaceddbbccdcecabdcacaebbcebbaeadccaecbedaddecbdadcbcacdddeebddcadbbeabccdecdcbdbedaeccdebdcddbdabacabdbbeecebdacadebdbbaabbecaebbeeeadadceeaeadacadcbddbadacdbebcdbcbbaacacdbeaacadddedddeaadbcbacbbadbdbcbaabeacceeddabeacbbddcabdaeeacdccacdbbbceccdeccbbdeebcaebeadbabdbabcadaeeadaceadcdceeabbacbeeccdaedaeeecbdddaeaacbecebacdaedcaaddbbeedcdbbebeebaebcbcdebaeaccebceacbecebaabebedeaeeadbaedcababbbbedbbbebcbdcbaaabedbabcabbaacdbeeadcaccdceabcaeceeeebdeaeeedbadcecabbdcaecccdecabbecdcbcebadeadedecebeeccdaecaaddeeccdedcdeebaecaeaeaadcacceaadeaaccedceddddcaaeeeeeeaaaaaecdeebbedacebcabccceedcdcbbdedbadaaabedcdedcaeacbadaccaeebbebdabdeabaacdbcbcdecdbcdeceadeccaabdacdaaeeacbeccdbdebeadeaacdbbceccddbebdebbdaeebebebdbadeeeaaeaaadbdbecbddbaeedeccbbeeecedecdaeeadbaddaddeedabbcdeaeeecebdbebddaebeddaaaaacdcbbbaadcbeacaacebbeddbbaeabbbedbbebcbbeaaeacdceaaaecccbeaaeceeadbbcbdcbcacaeccaecaadeedbdcccbadaadabcccbbdebbdeeedaacbdbeccdacaedaeeaabdbdbdeeceeabbaabdcaeeeaaebaabdebbddaecaaccbbdedbcbdcdcddacecaeaeeeecababcdbddebdbcaebeaacabedcddaebcbaedbbcabdaccbecaedaedacecceeecbcdcebdbeeaebdcddcaddbadcecccecdabcaaacabecaebbbbaceeadacaccceebcaadddbdbebeececbecbeedcbccddecbaaabdbdebabbecdaacbadccdbcdddbecaabebbaeaabddecdaccecdbcbcdecbacbcbdebddbbcaeaecccbaceeeeccbdcbbbedbacbdadcaeceebaacadeceecaeadabcebbedaeadcbbdaebdcabcddeaddcbacacbcdbabedcbbcbaaccbbdebbacdcbddbbdcaaaaeeceecdbedabeeaaedebeeddccbaedcedeacbbbabbcddcbcceceadcdeebbeeedcaadeeabdddbdbcbcabeaaedebdbcabdbededaaddcdbdcedbdaebcbddeeaaccacbedadcbeabeacbceaeeddcecdeccdebcbabaddbcbdbeccbaccbdadcccbcecaaecbdedbcceababdcadedcbaaabcecbceccacecbaaabeabadbccdcaabbddacadecdcababaadaadbbbcdccaebeacacacaaaddccebcceaaeecacbaacadbdbcdcecbaaccbdebdbbdaeadcccdececeaebacbcddeabaedeeaeddabbcabcaecaceedeccbccbeecaabdbebdeabedaacbaeaeddeabcdaddadebabecdbcdeacdbbcdbacadbdabdcccabccaaebddcaddebacebcadedbdbccebccedebaacdbbcdceceaeeaaebbbebbbcccebccdacdbaecddebbdedccdeaaeeccbedceeabacaeddaadceabbdcbaebacdbbbceaddcbacabaeaecadbabbaecdbcbebdbceabcdeacbaeaabdecececccbeebebbcedceceadebdcbeccdbceabcdeeacbdecdccedaccacbcddcadccbacdebbdaeccdbcddeecbadadbcccceeacdbcabcdacbcabedeeaebedeabbaaeeccddbbeeaaeaeaddadedcedcabbcacbbdbbacaeadedeeecdcdecaeddbcecaedbdccccdedecccadbbbaabcececcceaeeecbdbbaedaeebaaccebadcaaedccdaaadececcacebabbbaabaacbbccdbadbaaeaeebecadccaadaacecbeabbadecdbddcaecdeeabedbcbdabbaeeadecebacaaedaaacaceaccbbddeceaddadcbcadbabdaaacedcdbdaebeadcecdabeddaacccbedaeadcdaaaaaabdedabbcdebdbecbaecaaddacdebbdeaeddbabbbdaecddbebaeebdbdbeacdaceeaebebddcaadcadcabcebdacdbabecbecceceedccdbccdceecabceabadedabdccbecbbdeeecccbcaccbecddcbeaeaaddacaecececeaeacbacceaeabcaddbebeaacedccdaedcadacabedeeaddaaadcdedcdaeceabebceebaaabbeaacccbacadabbabacbbceebbbdaeadeebbddadbbbbcecaaabbaeeacdbbaaaaceddabedcbcaeabeadddaadaddabcccedabedadbddecadeabceebbabeccccdbcaacadaedcdbcaeebaaabdcecbcabdeedadeeeeadebdeacaccddbdebeaccdcaecadeedceedbccaadceedbcbebbedecbbcdbbdbaaedddcbebcbbacdbbacedaeedeeddabcacccadcccecabdceaddbabadbadbcebecccedacaddbbebcbabbcdcdbccbadbaedacccbeeadbdcaaebbabebceeddeecdccadecadeedceaacaaddbadddedaebeaccebbcdbcbbebdacacccadcdbdcceeaeecaecaccaaeeadebdbbdbccaeecdadcacceeeebbddedccbcecdabbddebbecbaceadeabddccdabebddcddcaebabbaabeebedcdaaedeadcbecdbbcceedaebcbdcdcabdbbcbbcbdaceacadbecbcceeeebecddceeeedaebbaaebacddababeeeccbcedaadbbeaecdddeddcdaadaaabebbadeaddddbeacbecdceecaebbbcbcbeddcaabdbdbebbbadebcbeddcaccabdbcddddbecadbdeeecaddedacedaeaebecacbedbcdaceeeadcdccbcddcbdeecdeedbeacbadbabeeebebeaeeccaceebeecccececbeabebdcbccbeeceebaaaddbcbbabdcdcaedcebaeaeaddcecadbeeadebbbcacddbadbabccabaeeceebdbdcbedabcdecebbeececabbbabbbbaaeeebcbdbcbdaabbdebabbaeeecbbadddeeeaabecdbdcadeedadaeabeddaeeaebccddecacbecdecaaecabecdebbaabaadeaaccbdeebddbdabeacbbebbaaccdbecdeabcaaeadaadebabbcdaebbcbbaecadbdcdbeccbdacdbecdaebbdedabcdabaddedecbdebbabdccaabcabcccdaaecaedbeeebaabedaacebdbdddacbdebccccbcbdaeddabebbdcadeebaabcaceddbdededadedbccdccccdbbadbbcedbaeeecacdcbacdddacdcaebdecdcadeabaaebacbccadacbdadbaceecdcbdbecedacddabdbeeebccdedbeddddeaddceadaceaabadcdcbeeabbbcaaecbdbdbcddbddbbbcdceeaaddaadbecedebcdccedeabaeecaacadcabcdaddeddaaaaadebbaacacebddabcdbceacabeabccecdbddcecbdbacadcedcccdaaebeeaebadadedeeaeedbdaadccaececbceeeeaacdbebaaadeecbadeedbdddddbeeebdbaacceededeeeeecbcdcccdbcabbbdeacdcecdecadcadedcebbabcadaaedcbdaeceedecebdceacbbbbededededabbccdddeaddccbaceceebbadcdebebaeebcadcaeaaadedcbcaeaaebcbbacadeadbddbcaebcecceadeeaadadadebbbccdbabbdedbaabebbbecaacacedbeeceaceeaaeccdcecaedddadabdbbeaeabcdcaebcedaceebaebbdeaedceacecabbaacbcaaceedddbaedadbbbeeaeadadbcecdbcdeacddbcacdcabdccabbebebadcacbededabeebacaedaaeeaadeeddbcbbcaabbeceacecadcededbcaaaacacccddabadcdbaddaecdcbdaebcaadbebaccbcddbeedcebdbebdabdedcccaaeccbcceaebdddcccacdbebeaacebbccdbdcdaacaaadcdecdaeccdbccdbbeeadccebcaebbbeebcdecbedbedcbdcbddaebcdaecadeeeabcbbecdaeededdcbbebaeabbdacaececbadeecabcccebdbcacccdcccdbdacdcebcebbcbcbeccececccbccccabbabedccdedaebbeddbacaacedecebaceedaeedeebdabbdadadabdacdecceedadedccaeeeacceebcbbcbeaebbecaeacebbadacddebccebcadaabbccdabeaeaaebedeadcababbeddbecbddeaacddaebadbccaebadceabccbdedacebdeaeeeaeccbacaeedcaededabeeeecbdbebbeccddcbdebbbdcbdeecbbeaeedcbdcecaedabadddeebaeabdeceeabcabdbeaaadedbbbabaaadbedbebaeaadddeaedbccbbaadcedeadcccadcbccababdabebbaaccaeaeaccccadaaeeecadeebaacdeedbeaaeacabebadbebeeaebbabebedcabecdebeabdcdaececeabbdbeaeccddcdbcdeadebbbbccbacdddecdddbddedeeaebddbecdacdcebdcccddcdcabaedbbddabcdaccbbcbcdcbebdacdbcdeecaaecdeebcabaadaebaadeccedcacaacdeaaebddbccdebecaaadbcbddbadbabbabbcdecccebeebaebecddcddaecdcacacbaadeabeaedceacebbcebebaaaccccabeaddedadedadaccbcebbceeeabdbdbdbbdcaabdedcddedeeceaddcbaabbbeeecbacaebceabcdadcaaeadacdeccbbdddcebcdecbebdadceaadccdcdeaddeeeadeeccebaeedccdddacbccbebdedbdaecbbecdebcdaccbaabdaacadbabeecddeeecabeebeceeecdbbecdebcbccbdbadabdeebededbeeebceecccbdbccdcaeebcaedccccbeabddacdbbadaeeeecebaadaeeccbcdcaaacacaabccccadececbdcbadacbeedadadcaacdcbeeeabbbdcdcaecddceceaabbabacacbcdeaecdabddabcbaddceeeabbeceddebccdaebbedabadabbbdadddaececebebeeabecbaedadaecbdcdeabaaaadbcdbdbaddcabedecebdbddcbbeaedddebbcbcaedeaabdcadebebccaabdcdacdabccccbbcaecbdedabddebbeaceedeadacbebbcebbbbcdecdcecaaabdcdebcccbeccdbcbaaadaedccbbecbcbeacbccadbbeebceaceacabbabdcedcabaecccbdecaeeacbbbebcaeaadcacccabaebacaddcedbaeabebbbbaeebeacdeccaceecdadeaaeabccccceecaecddbbbceedbbceaaeeabbeccbddccaadcedbcebecbbaabcbacadccdcdbabaabbecaeedbbbeebbbbacbdadeacadcdbebcbdedbcaccdaecabdccdcdacabdcaabecdcbacbdeaacbccaddeabccdbcceaebeaecdabacccedcbceaababeedadcadaeaaedeecdeebbddcdedddaeedeedacddaedbeabcbcaabbbaeccdbedcceebddbeebecceebcbbcaebcddaacecaecebeecddcecbeddacaebedddabcbdddaaadddbdeeebbcaddcdebcedaaecaaadaedbbbcaeaababcaebbcbdcbbacddbdaddbcacdbbdcceddedeeeeacbaebeebdbbdbdaeeedeebacbccccabaacdbabbecccacdedeadddbbbcededebceeeceaacbaddcccdecdeecaddcdebceaeabeedebbadceddcbebadedeecabaddbcebbdaebcbaabcdcadaaedccebbcaceeeabdacdadaaeeadcabbeddeabadacceecdeeaedeeeacebccdbdcdbbbdccbaceaedcecacaeabceaaeccecedeecabdccbecccdaddbaadbbadbbdacacbebeecbeaecedbdeabaaddcabeadcddbdbeaacecaeaecdbaaaabdababadeeecabdcccccbaedbdecdcabdaaccabdcdabdedccbbdbabaabddddddeeaeecbdeecbdeceebccbbabddaeaadcedeadcebeaadabaaacaeacbebacedbbacabdbbbacadccaadbdeeeeadebbabacbdedbabacbdeaeedaadaddacbbbaedabbeebdacdaaebabbbccaeaadeaaacdbecbeecebeaeceedadccecaaecbddbeeabcdedcaabcacaceaeebedbadbdaecdceacedcbcebbebbdbbdbeebeadadbbbaeadadcaebedddaecbdeabddaacdbbeeeeccadccdeedacdbddcdccbaeabdddcaededaeddcbecaebacdbeecbecadabedbddddeccaedeaddaabddecdaacedeccebaaaaededbcbdaedbaaeaecaadccebdddabbaccdeabbbbbeecceecceaacecadbdcaeadaaebcdeceacdcabdacacaacaecbbdcabaaeabcdcccdcbeccceebbccdccdbbaeabeaecccaeaebedbbbaeebcdeacacceccdeeceaceedbdbbeddaadeccacdaeaabdcbbeccdbedcadcbdacceeceeadeedbaedadcdedebaddcaccadbabdbcbaeaecedecdcccbbaac
+ecacdbbbcedbaeadcdcdccdceaeacabccabbbbaceeeeeaabcecdeceadbdadaaacbeedbeeccccecbbebeeaccaecccadbaabaddabdcdebdacbbcdbdcbccebccdacbbecdadbcadcadcabbceecedcdaaceedcdaaaccddcbeedecaaadbdcbceeaddccdaabbdaeabcaccaecbedcdaaaeceebddadaaabacadbadbbcececeeaeddbccaadcbcbeceddedeeaccbececebdbcaeadbceacacebeedddebcdcbdbebacbbdbcebacbcdebdacaabbadadebdcbbebdbcceebaeebadadaecabbadcbedcedccdddeeeadeceaeaadebacbcbbdccbdbbbaaadbcddbdbbeeeddedcdaeedddbdceceabccdccecebdacbdcbccbbaecadaabaeeccedddbedebcdceaabccbadeaabccecedcadecaaddabaeaaaeceedadbdcbaadbcdbaaaedeaddbbcebcdbaaddccdbeadaaadaeeebbeabbaaecbebadbddddbeedeeacbedaaaaaadbcabdaecbdceebebecbccaeacaeedcdecbbbdcebadacabaeeaebceebdcdcbdeeccbcbceebace
+dabeedabcaeddeeebeaebeeebddbdceccceaedabbaecedcbdcbaabbbdddcebeabcdcacedddbbcdcbeecadbdaddedbdaadcbaceaadbaedcccccbbabddeeaebcbceeeeddbdecbeeaedbabaccaeeaddcccdcbdaacbadddbbdabaeddcbdacbbaebababedcccbbbaeaccddebceaccddccebdbcdcaeaccebaeccbaaeedeebdebacadaeedbaeedcabadaedabdeacdecbcdeadaeacdacebdaddcaabdcabbceadacebddbbdecbaabecbbabbbacecbadddadbdddddebdedddbaadcbecadaeacbcebebaeacabcddadbeeacadbaecbbdbcdbedeceaedadbddecadbabaededcdbaceddbecaaabaaccbabdddeeaaadbeabeccbdacdbdbcaeceddebbbededaeeadeabbacabeedaddcdedadbedbbdeaddbbbadcabecbdbbbbadacddaebbecadcacbebbcdabdceccebdaceccddcecacedcaeeedbcbbbacaedaedcddeeabaacceadddbecdeedbeacdeebacbadecaeebbdcacdcbbdceeaacdcddebacbaebdbabaaecbabacaedbbcdcaadccaebabbebbddddcecdcedaeabcbbbadceacbccdeadbcddbcbaecdedecbadbcedcbebcabbbedbaacccbddbadadcdcadbabacadcdcadbaccaceeaedabeeedeaddabcbaacaeedeebcbbabcabbaccebbaecbcbdceaededbacaedecceadaecdeedeacecbbcbdeecebcebdccbacdadeaceeeacacebadecbeeecbeddceecdcbacdabdbacdaecdcedadbabecddddbaacddbaaeecececeecacdeeebdbadecdaccbbcdbdceadcbcaadaabccdbdbeedeedccebababbddedbccbeecbeacdbebbadebedadabdcdceeccedbceebacacbebebeebcedeeeabbeaaeddbcdbbaaaccaaceceabbaccaacceebadeaeaababaccbccbedaadecacdbdacbddaeddaecaeebddbbeeeccabedbccbdbcdacebeebedccdeeccabbdaddeedaeddbbcaaeddeadcaaaceeeaabdeaecbcaeedecbddbccadbddbdebbaebebaabdeaeabcdabdbedaccbbbabbdbcbeaabebbcaceadaebbaddbdddadeedaaedaeebbdbdadedeeebecdebeeeacbbdbeeacecbeaebdeaadbcedacebbdaabbeacdccdbaabceedbcbcbbccddbceedbadbdcbeadadbcbbceabcdbbbdcdeeceebcaaacccbbcebddbcdaebbccbabaccccbcccaceabebdbbcdbbdcaaddddecebdedddccccccccedcaddaeeabedce
+ccdeaabbbecabcdccebaeabdedbbbbbbaecbccddddccaebecbebedbaabcdebacbbbabbaeaceddeeaabbeabbebedcbcbedcdcaaaaedeaccbeabedbdbcccaeadceabdabbdeedccbdaacccacdcbbeeabddceabccaaebecebeabcdacbbcadcabbdcbbeaababbadcbeceeabaebbabbdbdbcddecaccceddecbaaaacebbdaacacacdebaadcdccdbeaaacaaceaccdeaedeeaaeacddacdbccdaebccdbadddddaebedbbcecaebdaecdddbbeddeadeecdebeeaacacebecdeceedbbcaadcdbabedcadecddbdcebccdaaebbcbebbdadaddbcedebdaaaaccababccaaabaebcdeecbbdbcdccecdcadcbbeaddbdeadbedaaabbebeedadedeaaacaccacbcdccacebabbdbccdbabedaebddeceecbcbcdabacbcbbceddccaaceadeddebbbedbdeadbebcbbabeabccdacdcddadcaebcedeaceaeacdeeebaddeaaecbbdddbdbbcaedcccceceecbbdcdcdbadeaeeccbbbabeabacbebbccdddbbeeaeabeaecbdddbbcedcccebcaeaacebedcacceddddabebcbcdcddedcabeaeabaceaaabccdbccdcdeeccbaedebdcaaaacedbccecbecbbcdcdcdbacbebaebdbcbecdecddecebaceeedbbcbbadadeccdbddcadebacdbdecddecadbdbbbbbdedbbbdbbbaeeecdaeeaececbcdbcbeeedcebeddcadadddecabbbadbbdaecdcdbaecdcbddcadaaabddcbcbaededdbcaccdcceeebdadbcdcbdadedeaadabbdbcdccdeddbeadbdebbeacecddcdcaddedebaadabdcedabbcccedceedeedcebbcdbceedbaeacbdaccbdceebcededbccabadbdaeddeceeabcadedbdbeacbdeccecaacdceaccdecbacddcbdadbbddddaacdbceccaabbccbdddeabdedadddaaeddaddcbabacaecbebbecedbacaeabdadcccaeaecaacecacdddccaaeeacdecbbadabbcdbebcdbadbeaeccacaadebddbbedeacdbebdadecaacdccbbbbbebccdedbededcbdadbcdadebebdebaeceacceddeadcbabecebedacacaaccadccbdedbcbbcacadabdebeedddbcadccbbceaeeabeedecbeacebaaaadadedeebccdcbcabcedccdddceadddbecdedaddddbbbcdcbaaabdcdedccdbbddcaaacceeeebeedcccecdacdeddaedbaceabdecadbbcdbbdeebccededdebbceaeabccecbdcbeadbcccdecbacddaabdadbddcddccbebdedebddbbdbbaddeccabbbdddcdccbebdcabddbcdcddbedeecacacaaccbdcbccebeeeedecbedcbaceebeeecddbdcebdabbdeeeeecbebabbcdcbabdaccdeccceabddadbcccbdabbbdcdccebaddcbaabdceddeeabebcedcaeadaeabbeecccbdaaabaecccbeedabaadcccbbeaedcedaabeededcdbcaadbbebcccbcebeadaeadadcbcbdededaeeabcbcccaeeeddbeaaaacdcacbcbcbbbaceadcecddddbcaebbddbcbedadcadcedebccbdacedecacbedebccbbcabcbabceddebedbaadeacabcaedbccecacbdcbacdcbceddddddcaaacdbdcccbebceabbdbbbdceeddecdeedceebbbeeadddeceeddccbddccdedcbdaeacbdadedcbdebdbaedccaeeebdaeecbcaaeacbaaadebdaeebcebcbadadadbebdbaaedbbbedcccaacdeabcedbbdaddaaddbacaeacbbadcdaebdbbbccaabddedcdcababeebebaecbcdddecbdaececabcdecdbdecadbcedcdbeceadcabbbeeeacacebeceacedbdbbdbedabecbddebdaccbbeaeebaaeceedeaabcebdddbabdbaedebbdcabdeadaaccbdabdddacabcbedabeeaadacbddeeeaabadbcacaceececeabeceabbaebaddcdcadbdbacbeabdacebebdcedbbdddcbeeecdecdcbadabaaeaeaadccbaacdebdceecdabacdedaabeceaebacdcbbddcbadcebeabbaadbbececdeeebcbacddeecedaaeeeacdaaeaeeaaccdcccaaaabbcadbdedccccddbecbdebbadbebaabddbabebdacddbeadcadbdcbcbcbbcbacbebbdaecbdebeacdaeebaceebbeddbdcceadcacebbcebaeadeacbeeadaecccddddceccabdbdabcbeeecbcedeadddbeccbeedaddaecccdbeccaeeecbbeeaecdecdccbedbddbbaddbeddbddaadcbaaacdcbceddabebadcbbcaaeddeaeeaedaddeabdabcddccedbcbadaabaebcbabbbceecdcacbeadbadedddcdaacecbbabeabbecbecccbbeebeddaddaddcebbecbccdbdadeedddbbaabeaaceebaececdbebaccaebdcaaddaaddcbbabccdadeebaebdbabaeeaccdcdbcebebbceacdbcceedddbeaebbcdeeaabeaaceeaccebbbbddeeaaccecaacaadcddacaedabcbdccdbcaedacabbdacbdbeaedaddcceaccddeeadaeaceecabcbebddcaeeeabdeaadedeaddbdddeccaddeaaabbcdddaaccdbcccddcdaebcdbbdbaeedabdebdceddecbedbdcceddacacbedcacedcdaaeeeadbcdacbdbcbaaddbcaccabdaaecabddacedbcdacaacdddccedcebaacecbaabdceeebdbbebeadacededdeeaedbeeaebcaabeadcaddacbcdcbdaeceeecaacabdaaaacdbceaeabbcacdcbadaaebaaddbeebeeeabbacbabceadecedccabccbdedabdeedaaadbcebbdbcbececcddeababeeedeacdaadeeddbbaacdeacbdbccedaaeccdecadcbbcbabcbddcdcdaeaaabccdcadacbeceadbbebaedcbbdadecaeecbdcdadbdbeccbabecbeaddaceaacabcabbdbabaedeeeebdbbedbaadabaeeaaeecdaebdbbcdbeaeadaaeadbcabacedabccaabbcebcacbdecddcaddedcabdcadaabcebadacdacebedbcbbdcacaaedbbebdbdbcabdecacbaebddccaceeadbeccaecdccdeeccdbdbbeabccacdbdaaedeceeadcadaeecedccbecaedaecbaebbecebdbdcacadceaebaacbabecaeaecabebaecbeecddabcacabcadccdbebeddbdeebedbcbdbacddcccecbdbacdcceaabdbcadaeddbbbcabedddbbcaeeedeaaaaedbaddbbecbdbcacbdcdbdecabeaeccecbacdecadebebcdbeddaabaeaeabbcbeaeeabecacacecddbeccecbbadbdbbeaddcadbcacbdcbdbacaadbebdeadcdbeeeaeeccccdaccebdacbdaebacccdcdedbbbbaacbdebcacddacdcbbadedcdeeccbecbcbaebeecbdbdcbceedddbabbcedcbcadcccedccadadbdadbabbaddabacadceabeeccdacccedabacdbabaaddebddacacdecbcdecdbdeedaeacddbbeabdceedbeabeecadbeeecebceacdacbbcbabeddcbcbaceebdabaccedaddbeabaedaccdabccbdedceaacdcdbdcddabcbaceebecdbcbbcedeecedbbaabecdddbbebdedcebeddeeedceaabedeaacaeebceeeebaecbedeadaacecaecebabeaaaccdeedaebebdaceaabadcabadeaeaaecccaddccdeacecbbdabbadabbebbaebaeeedcbecacaaebacdbbdaeaebdcebacbaaaeabdcaddbcabecacebeaaaccdabeddbabecbddaeaaeacbabaddbedcdbcecbadecbdeadbaaeabcedcadbbdcddaabcbcacbcabcbabceebccecaeccbdbabdbcadabddcedddccbcccdabdbcbcbbcbaebeeadbddcebecaecadacadaceaddaddaebaeedcbaddabdbdbdccaeaedeadcadcdcebbbacbdabbbaaaecccdbcaeaabdeeaeadcaebaacbcabbeeabbaddddebeacdbcdeaabbbaacacbcaeacbaaddebbdecddadbdbccaddeaabdadeeeeecbdacccdaabbaeacabccabdbbcacbaaeedeeaedeeabddbcedcddbdbcecaddbaddcabaebcbccbadedccbdcbdbbaeebbeabcdcebbeceddcedecdceaccacadddbebbdbdbbcddbddcdaccdbedeadcaeeeeeacaccecbecdaecbdadcaddcacccadbeaaecbdcaeeccbeeedaceeeaebbdbddadadedcccbabcedbbceeadacabcbccaabacdddbbbeabddeaedcacbdbbcdcdeeceaedcdcecdccbededaeaccedddceddbddcbecccdccdcaaaaabdbacdedebbdbcabecacaabcedccabaacedacedaaeecddebbbcddbadaebabeeedeaaaaaaeaccdeedeebcabcddbbdadccecdbccedeeaabeceaccccbcaaacdbcaccadbebcddaedcddaceeacacaabeedaaaebccdcccdcaaeabcdbabdcccebabccebbaebadaedcdbaacacdacdcabcaadddddbebadaddcdecceccdbeddaeacebcaadceaadacccecddbbbbbedebcbcbadbecbdcccdaddeeccdcebdeecdbddddeaababaabedaadeacaccbbeddbedcccedccacceebdcdaeeabaadbeecccacaadcceabcdebeabaabaadceeabbadaebadadeabcbddedcbecaaacebbcddeddecedadabaedbcaeacabcadbeeadaedbdecaaaebddadbdebadcddaccbbcecdeeaccaeddbdbaeceeaeabbecacdbcbadccddabdeaecebaadadeedbcceeeeeabddbacbebedecccaaabecadaeebbaaeddabdbcaaeeacdcacdceabcabaaddeeababecdeebaeaeddabbebebebcaedbcadeebaebaebeceebacabbbdccbbeeeeadcadeadeeabdcaaeedaddeeebebccdbbbeecdaecbcabcedeacaeccbecedeceabcacacaaddbddcabdababdadcbeebbaeeeeabeadadddaeecabcdeaeedeeaebedbcdbebacaccadbdbcabdadacccdccebbdbccbadaaaadddbcbddbeecedcbaababcecbaaecdadbeccddeeeaadebaecdbdbabdaadeeecccaedabecaabaccbdbecacaaaecedcecdebaebddecadceabceccdcccaccacabacdcdadbdedbdeeeebdbddccebaabcacadbcdebbeeccaaeaccbbacebbeedbececbceeebbcbdaaaeebeeaeccdbcdeedabcddecedeabbbcdabbedeeeaebcaaaccadbcbdaaddcdeeebddcacecdcddaebdbabeaddbbaaabebacbebdcadbdeabdbdbaadcbbbdbeaabeaeebcedbaeaecdededebcbbebdeeabcecaadbddaabdaaceccdcbcceeaeabcdbeadadeaaaddadaebebccebdeebbeedbeceecdbaadabddecddbdcdcdcccbeccacdbebeabadcebbebbeebbccabeecaecbecbebeabeaeacedbcedeecdcdcaaaeebcaceeaccaeccdbbdcaacddddbdcdcdbbdecceddecdaeeaaeebcdbcecddabeabedddceddaadabeecbbbeceebbbeeccceccebbacbbeaebcabbaeadebddbccaccbbceeaeeeacbaeaeecedbdabecddadcecadadeaaaeeccaeaaadbdbbadacbabbacdecaaddeebeeededeeeaeeaeabdbeedbdbaccdaecbeebabaebbcaacabcdbbbceaceebcdccedbaeeaddaaaeeaeeadeeaacacbecaeaaeddccedecbedbcddaacaaaadcedcaecaeeeddeaddadabdbbeeceecbaaedcdaebbbaaebdbcadadceedadcbdeabdebcaababbdddeeeaedadaeebdcdcacdbbcbdbadadaaacabdaccdbddbdadedebabaabdbddbedcddbcaaaeabddddebebbccabceaedadbbaadceacadcebadabceccdcedcdecaaaaedbcceeaeedbbdaeedabcbebecdcedacdcadaeccdcdabaedeadeebcbadcdaaaaebcbecbcbbeabccaadebadeccccbcdbeecbcbebeecaebcceacbdebdbaadddeccaabcecaabacadbaabcddbdadbacebdedadbeecadecedbdbdbdbdacddbdaacbcadbbaddbdddeecedeeedebeacdabdbdeaaecaebeabdbaeccbdedbdbceaebdcbabbbbebaecadacadccbdeaebbddbaeddcadcacdbacecbeddeedbbececdeaebebcbcdbdbaddaccdcbedcbbbacbabeceeacebcdcaeacbebbecccbbbeccddbcaebcdbbeabbcdddaceadddbaacacbeaaabcbaaeaddacdaedadcddebbeddadceaceadedceccceecbdbeacdcdebbedbcadcbabcdecdbabbebeeccbabbebbebdaeaacedabbeebbededeeeecaeeaebcdbbbabadaeccdbdececdadbaddbbaedcccdcbbddeebbbbcdedeeeecaceccdcbddbdadbcabdcadacddadaebcbacacceacccceccdbdebdcdaccadeaaccbddedaddacdadbbdaeceecbdceeedaecbbbbeabbbbeabcddaecaeeedacceccdbedcabacebedcdeddccaaddeaacbbbbbbbeddaaecdebdabbeaabcdbdcecadacabacaeacbeccccabadadbaceecebdccaabdbcaceceabcacaddcddadaccbdadcceaaaaebbcddceeaadebecaececadbeddbbdddbabaeeebaabaeabadeddcdededabddbadebbbeaeeacedbbebedcaccebaeedbcaaeaabbecaaebacaaeacaeeeacbeeadedcabacbabdbaaadeddbbbeaadebaeabcaacebacaeacecbedabceedeaeeedeabcddaaadbeacbaebdbbbbdacebdbebdebaebeeeaccaddbadbdeebbadbdccccbeceebaebee
+accbdbbbbbaeccbbaedadcbbdacbdedbadbccacacdeedbaaddbdebacacabceddddaabadeedabacaadbcdedcdacdbabeeacabaaadadedaecdedbedbeacbadbbaeceaebcdbeceeeebdaecebeaddbeacebeeaedcbcbdaadbbababedeecaeebcaeeacbddbccbbddbcdccadaedcbcbbbddbbbdcbcdcececdcedbaedaaaabdebaaedcaacdbedcccaedddccccbbedbeaddeaadbdaeaecdbddeaebdbeacdaeeedacacbaaeecadbbcabcdebcaeeddbceeeaaecbddbdacbeaeccbebdaceceaceaeacabddacbeebebabcebdcaceeeccbcdbbebcceadcceededeecdcbdaadabbacecbcaecdbeeacbacbdabddedaaddaddcaaacccacbbccadddbdbaeecdcbcbdbbadcdcbaeeebecbcbedcecbeabbccbbdddebedeaebbeaebcedaccaaebdbadedcbdbcccbbccbecaeceaeedeeaaeeabedcacbbddadeabcddadbabbaececcdeabbeabcbbacdcdaedabcccbeeececbccddcbebbcdeecbeabdeaddacceadbdeaabcacbaedbcceaaadabceabcbabdbdeaecacdceaabbdcdeaedacedaedcdcebeeeeadcbbcbadbeebbddcedaeedebcedabddeaecadbacdedccdeadadadabacababdbdabdbebbdccedbbcbadddddbbdeeecdacdacdccbcbdabcaabccadabacdeeebcaabeacaaddccaeaeebcabedcceeeadeacaeabecdeecacdecadbdbabbdebccabccdababadccbdaadecddbdabcdbaeeeddeeedcebeabeebcaecbcddeacbdabaaecbccdcbecbdedcbeaabbdaacaaddcdabecbbdbcaadeeebdbccaccaadbbabdccddcaaddeeacaedededcceddbcceabaeabcadbbaccbdbeceaebeebddbeadddaecabbbabadbeeaeebaabdaebbdbdebddcbbcdaeecdabecccdeccbeeabaceaadbeeddbaccceeabbcbbdaacddeadcdbbacaadaeccedcdeedabbcacadacdcdbceeeadbaebcadbdaaadebeeadccaeebcaeddbbcbbbbcbdccaeacabebbcbbeadbdbbecdbadceaeadccebeacedbebbaecbbdebaabeccbaeedebaeebcdbcaeabddeddbcdeeeaadbbddeacebbbdeeeadcaddbdecaabccbaeeabccaedbcbdecbeacbbcbbdbcbccabcaecabeadacebcddbaddaeeddbcadcdaeccccccadbbaebeaedabdebaaddbacbdaeaaadbadbeccbcbbbecccabdaeebbdcddbcecadcbabdabbaeaaaccabcacabeeecbcdbbdcbcccbbebbaabdddccbcbadeeddaabbadddababcdaabcbcaedbeddabeaecdbddbeecdebcedbdedabccecbdcdebbdeeebaddcbccedcdadbaadaaddebbecdabbdbcaeaadeabcbddedcaaabecddeddbebcbddabdeedabbebacabebcaaceeeeaebeaaccadeaeaddbcdcbdddbcbbdbbeeeabcbeadacdeedbcccadaadaebdcccdecaddcdcecbaeacdeeaacabeeccbdeddccaabebbadebbddeceabdbecbbdbedeabccabcdcdaeadedcebaceabbdceeebedabddbaddbbabbeadbbdaacaeaccdbcccbcbcbbceacdcecbdcbcecdbbbedcbcceccbcabaadbacccdecdedbceadcdddbebecdadbebceedeedcbdeeeaeadcdecbdcddaecedbaebecacabcbaaeadaacecaabbbbbbaaeadaedddcdddbcecbdbebdbdcecbbcbaebdaedbcebbaedbecaaaeccaeeeeccebabcbbdaceaebedddeaaccaebdddcdeacaccaebeabbdbedcaacaadcbebecdabecddbbcbabdbcbebdabcdcdbacedabedaaecbcacccadceabdcdbaeeaaccaadedeeabaabbeeaeacceccdbcacadcddaecacccdbedbdeabccccdadbcaddcaecddcaadedbbbececceabcdcacceaaaedaccbeedbddebbeeeeaaddbcbacbaeeccddcddacaeecdabaeedeaaccadaeabeaedcaaecccacbaabcacdbdedcdbbddcaaeeceddcedbeccccbbadacdbebbcbebdbbcbaaeadbdccbaadddaedbcdeececedceedbddacabaabadbacaaadcccbbbbdbbccecbedceceedebeeaabaabaddbbdaeedacdeedddcceeddaecdbdaababebbecddabddcbbcbebdaaaeeaaceebbeaccacacecbaebadabaebadabceabecdcdaeabceabddaeadcaaebbecebadecaedadadbeaabadebdceeddcaaaaacabebccebaecbddadaeadcdadaccdaacbdddadacedbacacdbcdbebcbebdeaaeedaebccbbbadaccbcaeceacbadecdaeedcbdcbaeaccacbccdaeabbeeaceebabeabdebdbccddbaedaacadeacedeeddcccdacbbabebbcebeaceaababecdbbdcdddbaeedcbabdbdadaeeceebbcaacebdddbaadecdbeeeaadeecadacaaeebeeeeaadaedbdccabcccacecaececeebeddccedcabdeeaadbcbceadecceaecacedabadaabbdcceecbadecbdecebeedabaaadeebeecebeecedeeadcebabdacbbceabbceeddabbabddbaeeebdceabaabdcbabaddababbbbeedbbbddbedadbeeaecbbcabadceceececcaebdddeaabaadaecdaebecccacaddabbaaecdbdbacdbceecbdebdbacebbebcdaabaacecbecedcbddbeacbbedeeaaddcdcaccbccdebebcddabeadcababbbdecbbcbaabbcaeaeaeadcebbebbabdedcceacaaaeaacadbeadccebaedbabeeccedaeadcccebdcdbbabacaccbaaeceaccbbeaebabcaeedccecddceceddceadcadacdaaaabaeeccddaeceeccabdebbbbaadbadbdebadcabedbadabceeaaaacceadcdecbecbebdbeebabccbbdccddaebadacdccddabeabcbabcabcbeeaedbcbeecceeeeacaeadeddaceabeecaccbbacbdbdbbcadcbdaadcacbbabdabcaeadcbdaecabcdcaeceebaaecdbbecbbebebacedbaedaeadbedecdbbeacbcbeeeeaecabcdcbedecababeebbccaaceaaebeeaccbccdbdeaeedeabebecceaececccdbdbacdcbdaaddeeaeeebcaabeaadaceceeaebacbeeabaabacedceadbeebebacededbcaeebdebebdccdbcdeedecdedaedcbececbbbdbecaeaabbcaccdeecaadcbabceceabdcaebcddadacebbedbbabeabbbdaebcbabbdeceedbaccaacbceeeaedaaabeebaedbcdebdedcddebecdcadaaaddcdadbcceaecddcadcbecedbecedbdecbbeabdadbbbdacabadebdcaebccaaabeebbbcececcdccdbacaebaebcddabbbdbbccbdbacddaeecbdeabdaadbabcacbcdbecddbcadbddccdbbcccdcaababcbbbceccccedddbcedbbbcbdbeeacddccddbaabbbbaaaabcdcededabecddbabbdbcecbcaaddadcdcedecbcacaddbcaddbebdacabeacdcaaeeaabdbbeeebedecbccbaeacaeaadebecdcebbdbbbcdabdbccaacbaeabebecacbdbcbdccabecbceaddbadaeaaadaabcbaacdbeaeadabaedebbbcbaaadcabddbdacaccbcdcecaabbaaacadaacdcedcacdacadccbdaccbcabcaebabeccacbbbcdccabeeabbdecdedccebcedbcdecbbecbcdabddbabbceaccbddbadcdbdbcaceaeeabcebeabaaacddaadeccbcbceaeadebcbcbbeaceacdacceeaaabcaadddcdbedebdadccbdcaeadecdaebbdbbeddedbcebaaeebaadecacbddaeccccdcedecdeceacbaccbbaaddbcadbbdbcbcadbeaccdaaabceaedbddeceaeceaceeaacedeadebcbedbeebbcaecabaaaabdecbdddcdeaaaebacbdbeeebcedceaabecbebbeeacbedaecdbedccddcabbaddbcabbadeceeecbebdcdbdaeacebcaaaacebaccedbbaaeabbceeebdeecacaacbbceceaebdbeaacadcebdebbedabcdbadbbbaebaaacccecebcedebddbebbdcbaecbecbcbeadbabdbddbbbdbaabceacedcccdabdbbeccdeeceaecdecececbaeacebaccecbadccdaeaddcdbdebbdcebbdaacdeacdeaddebddbdbacdadaacbccddeddcbaececbcaeecbeccebcdadcabdbabdbcbbdeabcdbabbaddbdbabeedbebedacacdeabecbbcbbedbcacdbcdcbeeebcebabcebdcaecabacebaadbecdeecdcbbbdbbabeccceaceaeaddcacedaddaaccdecddcebdcbbadabaddcccddaabadcadebceecccbcbbddbeadcedcabebcebabdbdddcdceddbebbdaeeccadbcdbedccaecdcdddedeaaeacdaecceebabebaacabeedccabdbadcebaacdddbdaebdeaeeeaeceacedaebddccabddccbecbccdedcabcecccceadedaecaaebcacebbebceecaedbadabbdadcdbbaecbaadbeeebdbedebedecebcedaaccaeeedbdbdbaeecadacbddbeccccdbabcdaddeebebedccdaabceeddabebdddbcbbebaeedbbedbebdaeddbcbdbbbdadbadcbcecdbecdecbbabdbceddccbabbdbaeecadadadadbdbebecacbdbdcbacddbdbebddcbddbddadabebddbcecbeeecaadacadadebdcdecaedcacbaddececebecaceddaebddabbaaabecbbcbeceeabeabedebedbedeaaddbeeecbcdeeceddeacbdbcaeaeadaccdcadecebbdabaeeceedcccdebaebeecbedcbcbeacbcbccaadbbcbdbbebbcababadccddebdbecebebedaaabdbeceeadbeecaadeedcbdbbceccbdedadeddabbccebbbaacbeabaabeeacabebbcbdcccdeeeedcaeaceecacdaceadbaaeaceaaeebbcbeabbecebcaeeabaabbddeabebeaceeadadedebeebebabbcbcedecdeddbeeccebacbaabbabebaceccbcddbadbeeaeeeadbcdccabbdaaceecebedeccabbacdbdbdababbdcbaadbbdeabeabeccaeebcbdeeeeabbadbebbbcebebdccecbbcbaadedeecadeedbcacdbdbaccbbaecaeaedabeaabeacddccdedcbcedceeaccbddadadebebeeacbebbbdcbaacccbceaebaecaebbbbcbaddbcbcecedaddccdcadebbbacdeaebeaeabaacddecaededdcceaedcccedbceeeecdeeacebebdbeaecbccacbcddabeccbcbcdacccacabcbeebceaabddbeeeaadceacbdcdbedcadcadebaebacecbacdebcacbbabccecbdcccdeddaeddcdacdeeddcaaecdcedbcbedcaeebdeecedaaaeeacaeeadddbccbbbaebdbdaaebccdddcaaaebaeccaedeebceaeddaeacdbaadcdaadceceeadabdcddbaccdccadeaacbceebcdebaacbaacabdcabaacabccadccdaeaeaebcdbebeddbacbcdedaaedebcaababbeacadbabaecaaceeeacecdadebceddedaebdecdbedcdceebcbebceccbdcddcccbabbedcdbdcacceccedceaeadbabcdbbabaaeeadddcccdbbecdadedbebbcdaaebeaeedcedadbdbaebdbaadcdaadcdbcbeedadcddbaeebedaeadbdccaeeceaadadbcecbabceecdaebccabcbcdeddeaedcaeccbcacebadcededebcddbedadedbeabcacaedbbecedcadddcebddddebaaeeedebdcdeccedacbbacaabbdcaeaebedcedddeeabbdaeedebcadebebdadcaaccadcecbaccabadbbeeecbbccbbcbbcdcddaaeabbcdebcbbecbbbedcdcaaaaebebbaeebcddabecebbaddddcbcaaceaeeacbdcdcdaaeebcddcdccaeeacebebaabcacbcaaabcedadeaecaecebecccdabebceedbeedeabcdddbabbcdaccdaaaddaedecedcecdddaaaccedebeccbabdbebcecacddbbdcddbbaeaeeddaaadabdeccbabbbdbbacbdbbeedebdeeadeeccbaaebcdadadabcadccaabacdedbaacabeaccbbedeadeceabcddcaaceacaeccaccbacddcabecebdacaadacdbedcddadedbebbcbdabebbbcadabbededddeedaaaaabecdbdaedabaddeedebcecaebadaeaadbbecebccdaecedcbbdedcadccacbccbcdbcabaeadddbbbaddcbdbacdecbaabdbacddbbdeddceebbdcdaedddaabbbcbdeabecadccdecddddccebabbbdceeceabccccecbcbdececddbacbaeabdadabededaebaccdedbacbdedebedbcdccbbbcdaaebecddbbdeaccedcbecbdecbabdabedcdedbabaccbcaddaebcbedaddeabdeacaaaddadbabcbeedcecebaebddbddbacbdeedbcaaedcbaadedeaaaaddecbbdecbbcedbcabecaecdaccbebcbebcbacbeddaeddbcedcdbcddedbacccbdcacebdebcebcecbbdcbadeedbaebceadbcdceaecadabbaddeeaeecabdbbdeebbccbacdccecdbabbdeddeedeedabedeccbdedceaeacddcdeebdbbcdaeaeeceadbdabcdceddcebeeecceaacebceecadbdcdbdeddcdbdaaaabbbaedaecccbeadeecdeabddbbbeaebdccbaccdabebcbdadebacacbcaabdeecaeddcdbbcbaaabbdbbccdcacdcacaacabdcdbebecaeaedccecaaeacdbeabdbddcbbaabcbadacabaececaabbddcdeeddcddbdbddedadedececbaebbccbdabbdcbbaebceacccdcddcbecbcebdacddddcbceadbbeceaabdddedddabcaddaccdaacdadbcabeebcaaeccddccbceedddaeecdcbbcbbbceebcabadaebbbbbedeececebeaccbdceeeebadcabccbeadbeddebddeacbcbedeacdcbeeadedbacbabcaecdaececacbdddaaeabdedabeeabacaaaaddddaeccbacacceddccbdbaabedaecccadaedceebdeabbbbdeaccacbdcebbdaaacbbddbbbccccdeccecbbeeeccdbddbadcdcdddabaccbabaceedebadabcecedabbddddeccecabbeacaeadaeeacbeecedcdbcbcecadcabdebcbebdbbccdaaccbbeebcbaaecdedddeabcccddbbececdddadbcddeebbddacaeadbbdcedababcbacbeacbaaedabdadeaddbdeceaddaceadebaaaeecbcddeebceecdcbacacbbbebabcbcdcdabebebabdadccbedbabdbdbbcbedbcceabebededeebaaaebdeccaccbebdaccddbbacbeaacbcaaeedcdcbbbdcdaceddcdaedcabcdebcbacadcbcedbecdaeeeddcaaaddcbcbacaceaccddbaebbbcaddbabcccdebcdddacbbbddcbeedeeabbabcbcbdcccaaabbcbcabbebecdddcdaaeaaaeebbbacddcdcbecaacacdddadbeeebabdcdabccadedebaedebecceaeaaedabcacaddacbeceebeabaebbbeadedbdbebedcdcdcbedbcddbbeacebcdeddeaeeeacbeeeeacebdbcbebcbcdadaaabadaadeeaeebebbcdbabadaaadbcbccbcddedbdbbecaedcabadcceddaadcacebeebeaadbbcddecdecddbcaacabcebabcebbcbbbbddebdbcabacabdbdbeeedbacaaccceeedcdcadceadbedeceddcccbcbbdbcbaccacceabebbceecedbddccaebecaecaeddccabdeacbedebbbeeadacbabcdbccedacddeaaecdccddcbbcccbcdbbbaceebccddabceabcdccbeaabdccdabadbceabdeaeedbdbabeeddbdabdbcaacadeabdacaeaddeabeacdecbdceeecececdbbbcbddbecdcdaacbacdbecccccabaeaceaaeccbccdbcbeaebbdcaaddcbaaaacbdbbdaadbdbbbaeccedceeeeddacdaeabccadcedaaabcceecaedbccaedcbcccbdddaaadceecaeeaddadbacebcacabebedceeccccdddcecdddeccaeeaecdbcdbebcdcabcacaaccebddcddedebdbeaaadabdeeabdcadacbecceeaaedbebaaddabcbdeaaacebdbbcadbdedabcdebebedbebabdeddacccabcbdaceeadeeadedbdccaebbaabcebecdcabdccbedcdedbaaaaeaaabdadeceeaaecdeccbdedbbbccbbaaecdbdcbdcaeecbdceabedcaedbbcabcceaccaedbeeeddcdedcabcbabbeeebebdcabdbaddcdbadbdeeeebbedcddecceaabadaeddbaaaeccaddddbbdcdaaedaebcdbadeadbbadeabaeaabababdaa
+cbeaeeaeebbeaadaecceddaceaccdbedeebdbbcadaadebaabbaebedeabecbbecddeecabededbabbeedcceaaaedccacdeccbbdcebbcdcebebabcbedecddeaecddcedecceaabcceebdebcdeedbdeedbbdeececbdcdcceddeedcbaebabbbbcedaadbcbbdabcbbcddecdcbcaaecebdbcdbcdbbcacbbcbcdaabbaaddadbddacaabeaecdebaaddadadbcceebbcdccdebbcbddbbdcaaadaaeabdbaadcdbddebbaaedcbbbaeabeaaaeeccccdcdeccccdbdecabcbebcdebeaecadaaeadbbbdeeecbeddedcdabbeedeabbbbbabeabeccedeedeacadcddccdcdbedabbbceecabdddaccdbdaebdbedaddcbdbaebdcabaeceedcbbddecbceddceccbdbecacddbbdecbcaaddceebaadceedbceeccaaceeeabcccadaaaebedabbbabdbabccbbdbcbdaecebaacadeaedeaaceaddbcbadccbacaaaacacbcddbdbdeeddedcdeaeeaaccdaaeceacaadeaccbacbbaccdeaddebeaebbbadeeadbbbdcbcbeeacbdaeabdbbddebabceddcadabbddbcdcaedcbdcadbebceaabadbcdaedeededcccbaaaeebadccdacaaadceaddadbeababddbcbdbabeabceaecdadeecbedeeccabddbcceebcccecdeacbccabaedcdeeabcdbccbeacbcdcbcbdbecadebccddebacebaaeeedcabddabcaacbabadbaebcceaaadaabebcdbabeabeaedaebbccabaecaceccececeeaadceaeacacedcaabcbcabdcbebbeebabecaeebaaeebbaeecbebaaeecebaaaacbcebdaddceedeceeeaebbaaebdbdebbdadaeeabcddebaaadacebcdddecdacebabcaddbeeedcbccdcdacaedddcdcdedcbcdddeccbcedceaeccccbbaeaebdbbceaeecbebeebeccddbcbcbaddbccabceeaedceabcbddcbacacadbceabbaaceddccccdcaedeecbdeabedaeeecdbaceadecacaabbbaeeedcbbdcabeebdcceacbbdcaddedeaeeacbeeeabcececbeebdbecdebeaaaccadeddabecdbabecaedacaeaaeddeddbedabbaccdadecddeeecbdeddadbcebdbbaeaacaeeaaececbbdaccccaaeecdaccebcebdeeeceeadeaaddbdbbeeacccceaeabddceabacdecaabdacececebcaedddecdbdcbeeaecbacaccedcebddeabcebceebcadcdabcdcabcbbeaacebcbabdaccdddaabcbdabbaaeadceeacdecacacebcbcdebdaacbeeddcbebeeaaeeceedbccebcaeddeccbeaabadbaceddbbeebdceeabccecdbaebccaebbcbdeeabcddeebeedacbadcddacbedaaddbbeaedaebdeabedeeecdbdcbecbbdbebdbecbbaacaaaceaaabaceecebccbeeaacaeecedcecebcebbacadecedecaaeabddecbeabeecbdacbbedecdadbbbdcacabeeadadcbeecbdceaebebeeabeedcadbcddeedbecabeccbbbddadaaacdededcbdbbbbaaacedcdebaaeeabbcdeeebdccaceedabadcdbedcdabbdccacdeccccdcccbecbadcdedeeaeaebdbdccadaacceebeadaaacadecdababeedbcebcadbbdeaebbeadbaedddebacdbcadeecaabacdebedbdcddbdcbdadbdabaceaddbaebdbbcebabcdebbaabdaaeeecbdceaaaddaaabbbaacecbeeaaecddceaacedddebbcbbbcaabacedeeadedbeccdbbadacdcecdaaeacdbaeaabdddeaaddcbedadecbbdbbbebdccedceddabcdbdeedecbbaeddcebecaedccbeaeeddebceaeedddabbeadbbeabcdbbbadaabebddabecaaedcbbeabebecbceaadaeebebdeaedbcdceebadcdaeeeacacbaeeacdccbdbaedbeddeddccdcbdedddcdddacabcaaabcbcaebdbacbcdecbaeaedaddaaeacaeeddbcbecaaeaaabebbccacaadaebdedcbbecbaaaaececcceeebabaedcadbdacadeccdaacdcadbeaecbcdbddccacaecaeedaeaaeeacbbbacabebabedbcbeebeddababdabbbdaaeecebcddcabbeabebaddabdcecadbedccecdbbbbbccbdeecbcaecaedcebdbdbaabdddebdcbedaccdceaebdabeaaabdecddbabcdacebeadeaadbcdabbdabaeaaedcaacdeeecdedacdaceaceabaaddeedabccbeaabcdaacaceacaddaebaceccbcedddcdbdcedacbedddceabebaadcdccbcededeaddabbddaeeaaceceaacdcbdcadddbdeeacbecabdedcacdbccddadbabaaccbbbddaecadceccccdeadebeabbacdebccabadabebaebebbeebdbdbcccaaacabedaebcdcddcebdccebedeecbacdcaabcbbcabebcceeccdbbeeabdebbbbaeddbcaaedeaecbcbceaeecaacceeedeaaceeaabbdcdabbbdebcebebecbaabcedbdcddbddbaddcbaccabedadbceebedcbbdeaceddaedcbadbceacdbdeabcbbaedeabccbeceddabcecbadceeedaadebcdabcddceedbabcdeebdbebcaacdcaacecacdccacdbcacbdbabdaebbbadbaaeeceeddbcceceecceeccdaeccbabbdadbebdcceaadcbadedacabcabbdbadadbecbbcaaaeadadaadaaebbedebdaacebdaadeddbadbedacdccadbeaababeedbcbceaeebccbcbadcdaabcdaebcecddadbebedeedacedaaeceeecdeabbcedabeedcddbeadcdbadddcebcacdaeadbbeacdacceadcececaeadeddcceedeaedeabdebaacdaaeedccbabbedbdadbeacdaeddacaaaabbdeaddabcbdcecdabcbdbadaaaadabdddedbacdebaedbdcccbccbacebccacccaeeeaaaceeaadaeacdeaaaeebcdacdacdadcbadcbeaabeabbeeaebbbadcbacbddadabcabebcbeecabcdbeabbebcdbbcedbebbaedddccdccbebbbccacddbcbabbeecadadcaecbaaaceeaaddbbabadcbabceecdededdcbcceddccdeceeebddddddbceaeaaddbadbcadebebbbadcaaddbdcadcacbddeccaecdbdedbbdaedbeacaabadccbccecdceeebeeeeaeeadbdceacdcbabaceaaceddccaaaaddbdbacbbddbaebeebaeeaddeeeadacebdcadabaaabbbdedebaebdadedcecbbdbebdaaaaedbedabdddcaaabecaeaeceddbcabdaedbdaabadcbebbcddbaccbcbaddbcedaaabccdcaaaadeeeedaeedbadbaccabceebcacdbddcaedebbcdcaababecdaeadaddabddaceecbabcacdeebceaccbdcedaadbbdcbabaddedddbaaccecacecabecbaceaaeccaceeeacbaeeceaeedcdacbdbadebecbdacbccbdcbddabbddadcbdabadccbeebabecedceddcbaeecedeeaaccdbbeedceedabcbaeabaedaccccbbcdbeaaecaaccecbbdbcdbeaeaecabdeeaaaedadcccdcbcadbbcecadccbaadccbedddebaacdcddedabddbdcebbbecdbedebeccbeeebaebdedccebccadcdbddbadbbacbecdeeecbdccbdcdaedcceceaeadccabececbdddebdeacbbcbdbbbebbbaebccdcddadaeecaedcbddeaeabcdceebcdaadeeeabdaabbebdabcdeacdaeeaadbaecacaedbdbdddeaadecddedbebbdbcbeadecedaaabddebadcdeeaaaacaddebbcccbaababaeacbaaaadcbabbeecaaedaceaeedbddbedeabadcaaeaccbaaedcaeaeededeebbcdbbbdeeecabccbddbeddabbdbdadeabdddbbbcbbcaacabcccdabdccebbbadbaccdcacccdcdbaacebcaabeceacbecaacacdcaaadeaaeceaadabcacadeddacbdeadeeaebdebbeedacaeeccaeaccceceabddccbbebedcedebbccbccecbacadbdaebcaaebedadabdaddebedbaecdeabaeebcaccdcbaecddaaebeaebdeeecabcadaaabaddadbdbabbdcededabdaddcaedbdbebedbdccadadebceddbcdcbcaadceddebbcdbcdeedaabdcbddcceedabbaedceedeebcaecaaddeeebabbdadcbededebcbebeaddcaaddbbdaeaaaeeabeeacdcedecddeebbebbcddbcaeaacaadbbadabadccdaddcaddebadaeccedeecebacddaadbbcdecacbbdecbbcbbdeacabeddcbebdeecabaecdbaeddcadebaebbdabbdcebbaaebeaecccbccbabdebbbcdeabbeeaedeaebcbbeeddcadcdabaaacadbadbaebaddbcdcdeecebdbaebbbabaddbaeecdaaaccbedccaecbaecdbbeacaacedabdcbdebacdaaabddcbbdbadccadbdaeedccaeecedaadaecaadacbbabeeedddcadbeedcaeddeeabebedabedccdcbedeaadbeddcdbbeddabdccbdaacabecccaacbbcaeccbdaeccabeadcaeebeecedbddaedeaccdcceaeccdcdcddeeeaabbceeeddbcbaaabdaaeadecbaadedacbaacdaedcedddeceacedaaadcadadbdceedaaebedcadceeaeddbedecacaeacccacbeeabacebdcacbebbcebdbceecaccdbbacbbdaeecdacbedecdcecebacdecdcceecbeaddbedaedeabcedaadacbccecadcbdccaeeabccddeabcdeccabbdbacabdeaccbacebdbdebebddbdcdeeddbbdebbecdadacdcbddcbaccccabbcdeeddbbacaeedacbbbdbcdaadebadddcaadaebcdbadbcdccabdeeeabaeddbdeaccebbcdeccccccbdeeebadedacaebbecdbcdccedbebddbcccbadbdcdcaacaaedbebdcbeebcecbdaecacedccaccabaaacbeddcaaeddebccbbaddeccbdaacecbeabceeabddcacdbccbaddabcecebaabedbeccedadcbbbadababacecebdcbbaaececaaacdbbcecaaeabcbaeccddededadadbcdbbaadbecedaeedbaadadadaaecbbaceeeabeeecedbdebbabadcbbbedaeaeacabaeeddcccdebadbedebcacbddcdbbceddcdcceecbcddbeeadbbcbedaddcacdeedebaaedbeeabdeedaebaabaaeaddebedbabcecaccceaaaaaebaeebebcaebdadbadeddcaadaedbceaeaacacbdcbaebcadaaadeeccebcebbbdaecbdeeebdaaaedaeeacadedebcdaaeddebdadcdaddaeeddddeadcbeadceadcecdcbedcbcdacacdadeaceadceaddedecdeeeaabdcdbeddbceeeddeebdedbcadbcdcceecbbedadbebceddaeceeecdcddeaaeccaeccbdeadacbecedbaeabadddcabcdcbadaeeccdebacbceabcedaedcceaebaeabecdbeeadebaaccdbeeaeeeeabbdcdbccaedbedacadcecbeddceeccddcbddedbedcdbadbeeacbbceeeabeabebdadaabecdedacaacceaeedeeaedecbbabccabceaabbdaccebddddbcaedabcabcccadeadadbccecddbaaeaceadadecdeccdcbbdadeaaddddeaeccbcbddadcbcedeadbedaecadbeacdbdbbaadbdbaecaebbacabdebddeabdbdcdddcebaacecbdceabdcbacebccbbebdbbcccbedbaadabeabeaebdcccacdecaedddcbebecacdaecaeaacbabdcececaceeeeecbcbaaddceeabcacabeabdedaeeeeaadcbbcdbcecbdcedddbbcadddaecabeaaeadceeaebbacdbaccedecceebcaedecdaeceeddddedbccdcdedddbbdeacceccdcacdaebceebaccbabeccabacebbeccbabbddcdaadcdeebacceabedbbaddebaaaacadeeeadbccaaacdcadaeeccabaeecdcaecceeddbbbbacbbbcabadcbeedcaaedbdaeeecacdceadadacbbaecaebdcaadadbcceebadcbecbaccccbaecdeabacbdaeadcdedaccebeaceaceaadcedbbbeeaacabaeadaeaddcbabecebaedbceedebbbdbedccededbaeccbebeccccadceecaaccbababadebcddceeadeacebadaeadeebbecccbdbebeacdbabedeabcbcbbbcaeceddceceeaeccabddabcdbeeaecaedcebbbaecdadddacabdcbdbdccebecccbcdeabbebbdaacdedddcdbcdbadbaccdebeedeceacdccebbacebabbcceeabeedbbadbeebcdecbdccddeecbeecaebebcedacadaebdbdcbaebeddceeeecadcbedcaeceacecedccccadcadaacbcddcceeddacceecdeeadbddadedddbbbedceadcdabcbaadbccbceabedeeaaaceaccadceaeddaaeedcbebdaceadaceccedbeaebdcaebadadbbdbceebdabecaeecceedbbbbecdcdacbeaadbcacecabceeadeaadcaaeebbbecbccbdbbdacaeaabbddcaaeabdbccabdebabccaebdbbeecceaeaceccdbdaabeebeadbbcccdbcedcbcaddedeecacccddddcbededeeaacecebbeaebbaabeaceaaccbcedecedaacaddddcadcccdeebbcbdcaeacceceabcbeceadbedcaacddacadcebdacdadeecebeecaceeecaebadddbeeebeebadaedaeadcebdaebbeeaceaabbaacbcaaaecbecaacddbbcecbaadcbceaecbbadcdadacaededbecacbcbbabacdaadeacaedabecceaadecaaeddebddebeeddedaddbbbadaeceddaacbdcedebadbabaaebabaaccbbbcbeeaeacbddedadddedeaeceaebcdbcddabdceadbccdacaebedcceeabaecdbedccbdccedcdceedebdababbecddbaadbaacbdcddacbadddebbaceadbdedabaeebadaecbaddcdeeaaccdabccdbdbcebcebdabaacbbbebdbbeacacacaebacdeadbacebbcaabccddaccbcabceadeaababdcecdbaaadaaacdddeadbdacbeeeebceddbbdedebaedcdbeacdbdebdaabdccaaacdbdcdddedddabbcaeceaacebbebacacecdbaaaaaebdbcdeddbadeedaceebedaeeaeeaacaacbaadbebacedeacecdabecabddbcdddaecbbbcbebaedcaceecaabbdcdedaecaeedcdeeacbddeadeabdbdbeabebeeebdcceddeabaaeeddbcadcbadcbabdecdbaddcacbddedcccebdeddeadbeebeeccadeebeebecacdedeedbbacdaececdcdadaadebaeddaeceeedbdabcdcabdaaaedebdebdbbaadcdbadedcbdceeacdcedecabeabdadbbacedebebdbbeeccdadedaebbaccbdabceacdddabdbddeacacdeaeacceebaaacaeceabdcaaebbdeccedecabccadaeaccabceccbdeeebcdbadceebbecaeaaabacbcaaaaaebcecdbcacbaecdddeedceedcbbbdaeaadaeb
+dccceeacbaedeaedeabbbaedecdbedeeaedadbededaeacebbebdebcacbaacdceedeaeeeedaacdddcdbabaeceebbadaeadbccdcdcdcdaececcedeaabbbbaecbcceddaaeabeebaacbadeaabaccbbbbebeacbeecedaebaabeadecbacdaddddabdacbbbbeaabbdbdaabacdbeddcdddedeebedbbaedcdebedcacbaeaebcbecaadcbbcaedcabddaaedccdbdceedbadabcbdeeababdacaebeeeeabdacadeceeedbbccdcdbedecccddcacbbaeadecceadccbbcbacbecdebdacebdadecbeaeaaeccecedbeeeadccdbbeccaaabbaeececdaeeccbccccbecdcbadcdbabbedbcdcceeaeebccdbaeedcecbcbbeccaebebeacedceecaebacecbdaebeeeaebbdbeeedbdbdeabaeccbbaebadcbbdbbedebecabeecebabdbaeadccdabdaeacbbebddadbdceeceebadbbccbbedddecddebceeecdcdabdccdcebdbcdcdabdebadeacbadccbcddecaccbcedeebecacceaeaabceebcaeaadbcbeabccabdacbbdabcccdddcaabaecacaddaaaaeecaabbabdbdeebeeebecbccedbedeabbcdacbbeabbddaedbbbcacabdddecaedbadddeecdacaccbeeceecebebcedaaedaadbbcceaeeeaddccdccaaadddadaeaabeddcadeddecbadabddccacabedbeaabbacdaaaeddaadbbebdebadceeededeabadadaddccebcdadcedcbaeaba
+bacebaebddbaddcddadcddcaddaebcadaebdeaeaebcdaeceaaebdedacbadeeccabeaaebeddbbbcdaeacaebbcabddabdaeddabbdcddeeaccaababadbeebcdebdbccedaedcccadedbacbeddcdbadbdebeeebeddaaebaeeaeadeceececedcdebeddbbaecabbddcadcbeceeaebdaacbecaccbccbececccdeeadbecbcbbccedeccedbcedcebbaabeddeaeaadcceaddceeecabeabdeaeebcadababadeddddebdcccdaacbeaecccddcbbdaadbceaeebdbebecacbdddababbbbadadcaaeddaabdadeecdccddddbbbddddeabaeaaaaaabdcdbccdeebccdbeacecedacabceeedaebcebbbceadeecbcbaeadccbadbaccbbbbbddaecbacecbddcbaedecccdedcaaaccdbbdeaaaaecabaddcdbdaabadeebadacaeababdbacdcccdeaacccdadaaaabaccecbbaacdcadbaeaeebdbebdeacadbdababbbaadedcccbceaebecbeeeaecccdeebaedaeedededbcdeddcecbacbacebcecaebbecebcbeaaacbbeedaaddeacbecddabdeabecdcabcacccaedacdbbaecbccbaeaeabbdccababbcedceddbeaedddbcdbacaeabbdccdeddaacedbaaaaaacbcbccdedbaababcdaaababeddcddcedbcdadeeabdecedbcebddcbabddbdeccacbeebceaaaecebaeaddccdccddddaaadcccaccbdcaaecdabeacbcecdcabeceededdbdabcbdacbaabbaedbadaccbbdbadebdbcaccebaebadadebeebccaddecdaddeeaacddaadedbbeecddbcebaaeebebaedbedcbdcedecacaebcdebdecbeaeeedbabbddcaacceedacebecadbacccccedcbeedbbeadcddaacccecbadbaeeceabacddaddedeabdaeaaabdcbddebabbedeecbbbeddcdebdbcaeeaaeddedeeecdccabcaeddaebbdebadeacadccdcbadaedaccecbddeecddacebeaccceabddeddecdadbcddaccbceaddcadaaaabcbcaadbbdacdcaaddcbeaacbedabcbebcedddeedbacdcddadbebeeecbbdceadcddadbcceeedbebadecddebbabbaadcacdddbbaceaaddeacbecaeeccabbbaadceacaebbceeccdceacbcbddbdbdeeebeccccaadcebdececdecbececbeecaaccbbabdcaacaabddbdeedebeecdddecaebbdecbcdecbbdadaecdeaadadeccddddeabaacabbaebdcbbbcdcbdcadbcdcdeaeeadddcbddabdabacbcdbdaebbedeaecedccbeadbadddabcddbdcbdbdcdddbbccccdcdeabcdcdcaebeaaaeeadeabebdcdcebcdeabdbbcaabededdabbccebcdccaeaeaebbaedcabaceceeadeabecbddcdbacaaaebadbcaceabcddaceacaadbaeeaebabdacceaabedbdbdaeeeecaccebbadecddceddacceeceddedbadcbcecdebcacbdbdbdabcacdeeeeedacadedaeaedabaeecedbacbaccdeaaedecccaccdbdadabdbdcbbdecdbcaacecbeebdddbdbcbbebabacceaecdcbcabeaeedbecabebcabdcaedeccaddcdebeececbcecdebadcadeccddddbcabcbaacddabdecbeddcdcaeddbceccdcbebcbaaecacaadaecbcaeaddbdcaedddbbbbdbbeadbedaeaecebcdaeabceddebcdedcacedbddebaebadecaeccbebbbecbcdbedcedddabbabccaceaeaeddaeaeebeccebedacbeaeacedcdeaecdbedbbadedcdeccecaeeebecaaaaabcedaeacdcedaceedabbebcaddcacbddceecccbdaacbdcccedbaeeaacddaeccebebceceaabdaedcaeeddeedadbbdcaabaceacbebdaccecdebeadddaaabadedbbdedcdccdcedcacbcdccceddbddaadcdceaccdbcceedbcecbcebceedbadbdaadddddedaedebccedccbeedadaaadeebebaadbadaaedcdadcebdcebdcdbaaabdbeedebdbecadadaacbaedaedddeccecddedcaecdbbedcbcbabdcdadabededcceedcdcccadceacceabbbcdeabaadddeaebdeceeadcddadcebbcebeadcccbaeacddcdecbebedebddeedbdccdccedcbccbddbebddceddeebbecbddaeebdececaabbeaccbbcadbecdbcdacbcbbceaebdbeeeaedececeedcdbdebcaacaeaaeeabbbaddea
+abcccceeecdddacbcdddcedccbddaaaccceaaebbbddeddeeeebacbdbbbaebacacbbddccedadabdcbeaebdbcababbbcebddccaedcdbceaadacaddeeacccacbbaccebbeeaebbebcccebbbeddadceaaeabeebbbebbabbbdecccecddeaccaeccdccabbdaadbebababdcabdabbdebebcbdaedccdabadbbcbcdedbacdbadedbcccbaadecddcddbedccacdcaedbeedccadceaeadcbbbdaaeeabddadadaceceaaeadacbadbcaccccdddabbaececdddbaaabadedacacbbabacdaeebaccccdabccdbadacbbcebaddebcdaeedadbececcbaabdabebddeabbdaeddececdacecacedbbbeabdddddecaaeeeeaebaaaabbaccbebeaaceaedabbdaacdcecaaebcdadabedecaceeadddaaebceadedaeecaedaacdeedeabcadbddaabacdbdddaeccdebcecaceeddbceabedbadcbaebcbdcccceeacacdceddccdeeccbddecdddbcdecbaababeaeeabdcbbbcdebbeeceabcbadbedcbaebeaaaacbbebdceaeecdcabedcccdcdbcdecbacadadcccbceabaadbedbaccdcdcadcbacbddcaedaeaecebbabaeedbcbeabeebadadaaaeeccebccedbecbabeedacaedcdecaccadcdeaacecaeaeaeadeecdebadeabaebdeddebdcaadeacaebbdcabbebbccdcdeaeabecdbabaecaabaedeeeaeebdebaacccabddcebbdcdaceddbaeeceadddbceeceebeaeadcddbcadedbcdbbbaddadedddccbebdeedbdcccaeebcabdabdddbadbbeebccebaebccaadceeebdecbaceddadddcaeecdadcdeedecbcebdecebabeebebadddcaaeececbbdccababcbcaeaabbaecdbaebccacdcaceaceccadeeeadbcbaabdbeacabbeddcdbbabdedaeccaccebeecaedbbdbddbabbbdbcadecabbaabdcadddcbddcebdacaabdbabceacdedadaacbcbeccaadceeebdbcbcecbbdacebbcdcadcbaccceabbbdbceadeccaedbecabcadeedbbbcaabaeccedacdbccccbbaddcecbcabbcedaedcacbdeabbdbcbbbdecbcadaccebccaaeceabbaabcecdcccaeeedadcddccccbebeadebcccccbbcdedaedadeaeeeeeeaaacbdcdecdbeaedbadadabddcaddbadecabaebcccedeaecaadbdcdccccaedbecaabaacacbcabdbdcdcdbaeeeabcbcdbdaceaaededeedbbccadedcedaadecddeadacbedecddecededbcebcacedeeaaeeedacccaecdbeacbeebedededabbccbddad
+bbaceabcbadbdbeddcebcaccbcccacabedbadcacaeebbbbabadcdcbecaaeebaebbcbdceccbebdcccaababdeacdaabbadcaddbbbeeacbdeacaecabcbbbdbbacdeececaababcbbcbadbeebccbceddaaabeaabadadccbecdbabecdbaaadbcbceadacececdcaaaeededeeaededdacadbabacaeeecbdaeccdeccdecdcaeaabcebcbeeeadbbcbeecabbbbeedccbdabaddadaacabdcacecaeddabcccdebeebabbebaaaaaabddceceaecdcedacdadccdbdaceeaedcdebeebcaaedcebadeadddebddacaabdddacadecbcdeceaacbacecbddeddbbaceccbceaccaadadedddbacccaaadcdcdedbddbeebcadadaaadebbaedeecbaebeaadadbeaedadeacaededdcbceadacbbebabcebdcadabbddabdbceeeacaceadcacbccabaadaabcbbddececabbabcbddcaadeebbdaaeeddbdcbedabbcedcbacbabaceaebeeaaadbbcdaedebabecdbeaeaadcbcedddeaaecabaccbccdecbcebdccecdeebeadeaadebcbcdceceaaeccaadabecdebadbddabcecaabecebdecaadbbbddacbebaecbbcdabcbcdabcecabdabaccdccaadebcbcacdcbbdddbbeabebcaaecbcceadeddeadabdcacddbdabebdecdeeeccdbdcedbebddaebaacbcedcabbebeaabeadaecaecaeddbedecbeadeabeadeadcedeeccdcdacadaccedebededddeadcbecaedacdbeacddecbaebaceddedeebeadceaabcbadebeceebbababeeaaeadaccbbbdddedcadbecdacdaeeadebeebdeceacbeecacbdaeabccccdecbdadebbeabecbadeaebbbaddeddaabcccceacdcebaedbbcacdeedecebaaedddcbeabbaedbbecccbadaabdeaecabcaccbcecbcbeeedbcbdcbbdbacedcabaebeaadedadcbceacecbedbbccbaebcdcaeceabeedbebaedddeaaddcbbbeceaedbddddbcdebeedaacceddeccdcdbaaccaeaaecceeabedeedeaeabdacddedeaddbaeaddacbbdceedaeacdcabbcebeddadaabdaecacdbbbdaedaeebabeecddaacdacdbccdeedbedabcedccbeabddbdbecbdbbdaddebecccdbdbeaedaeebddeaeeeaddcaeecdeacddebcddabbcddacadbeecabaadcdaaeeaeecbdcbcbbbbdcbecbadcccdaeaeaedceddabeebbdbecaaaeebddbbcdeebeddacacbaeeceedabcaccdabedbdacdccedcabeeccebccaececdbbeebebecacdaddbadeaadbeacaddedddbaecdeeedcdcbabdbecaacddecebddaccedbcccacbadcbbebdcabbacdaeadecacddaaecacbaabdcaddebdabbbcceccdaccabeeccbaaeeeaeeabdbdcabdecebecebacceeababacccecaaddcecebeebdbcbdabbbaeadcaadceebbeacceecabeccceedcccbbbbaeddacdeddbebabccdcdacadabaeaddcabebdceaeaadbbddcccaddcabeacdbeadbeeddcaaceddadeddebceecdaeebbdccbaadccacebeedccbdbacbcddedaeeacdedaeedabcabaecbadbdebabaecacbdccebbcdaddbaadadbaaeadbcbdbccbcaccdceabbcadbcdbeacecebccabeacbeabeeeeaadeedaedbbeaebeecbaebbecedddccdcaabecedeabaeddeccdccbacebcbabceabeecbdddbbaeadacbecbdacccbeeaeeaedecdbbaaacdbacabcdcebeadabaabaededbaacbaacbccbbdcdebbeadecadeadaeaabcbeaaeedceaccebebddcdcedecdbbaeeebecbedaadedceeacecaecbbebdedccebdadeddcaacdcbabdbdcabcadddcecabcbdbbebbaaacbadddabeaecbdeabbcbbacdceeababadcaaeaeebdbadcbadbeebbeccaadedaddebecadcbceabaceecdcecdabeceacecaaabdbdccdbaceeabebbccccecacaeaeaedceedbbacaacdcdebecbceebecdecdddeaebbacaaecacabbbcaceeacbdddbbdaebbcbcaccddcccbdcddccbdaecddabbeddeddeecbeadecaaecbaebbbbbebdcbdbeadcebbcabeeddedecacbeebcbacbcdbdebecbeeeecbcceaaddddebcaeeabcbddaceacdcddacbdeaeecbbcdddadaadbbbbadddaacdcabaacebdbacdcebeaababcbecbdedddbedccbbdebdacacaccbedaeaccaadbcebcacbbbbdcedcccdcbbbbeececbcbbedbaeddeceeddccccaeedbbbaccdadbcbedaaadaeeabdeeeaecdadccabcaecdaaeedbedbbadbdeeebcedcbddbbbddacbecabaeedecdcdadcdcbdcebecdccabdececaabebdedeacaaedddcbdcaedeedeeaddbdddbabcedeabcacebaccdeaecdaebabddabacdaecdbdcaacbcbccbeeeaaacddadecbceebcadaeebeaccbadbbdcabcdedacbaccdbacddeaaabdcdccbeaadaacbbabccdddcbbedabdecebcebaaaaeddaabdcbcebedbeacddabeeecdadcedeecaeeddaaaddbdacbeddaeedbedacecbaabaaaccaaeaddecdbeeababcbdbebcaababddbababbeadbdcabbeccebeaccdebcdcbcbdabbedcedebccddacccbecacbeebabcbeacceaccaedaebdbbdebacbdcbbceedecceabddecadbebabdcdabdcdbdebaebeddddbbeabcddcddddecedaddecadedadcbdbbdceeaaebdbddccbeacaaadddebbbacbacadeecdcdbceacdcaacceeedccebdbdedbdeacabbebbdeddcdabdbebaaccbbcdcdcadddbebdbeebdbbbbcbbdeeddbacecedbcacedcbbedaadcccddeadacbacedcaedeaeeaecddeaedebaddceabcabeaabababadbbbedaecddcddbdabeeeecbaceaaeaedabcecdbebdeaeceeeccabaddaecadccebeeeaaccbebeacceabaebeadcaeedcccaceaeabeeddbecbcbbadddaabcbcaacdeeddddaebaaaeeaadaedddaceabeeccbcccddeaebdaeddbbaedadebdacdddaeebbedccedabccedabcadacdeacdeddbecdbccdcacaceedbacccbbedebbdbcadcadecdcbbdbdeecbcbbabeecacbdaaabaceacbceabeededdcbbabdaadbaadeddaccbdebcdbebadebbeddeecbaaebaabebebccebdcabcecaccbacaebadecbecbaeceaaedbbedcbaaedddcdddadbbcbcadaaaddaeeaedccccdaecadaadeccaaddcebebeacddddadeebbeedbbaaebdabbdeeaebcbbcaeedbbddbcccddbdabbbecedabbcabcbceadacbbcbebcaccebaaebbabcdcecbdbbbbaaebcccebceabcabebeaebddecdcbbdcbdbddacbcebecbdeedeabcbaedbaecdcccacaedccbbabeeececaccabadecaccdddaadddddbecdcaddbcddecccccabcdcccdceddedcebabbabdeeddabbadababeaecbdceaccebbecbceeecabbacddbcbaeaebeaebbabebaccedcaeccdadeaeeeaebdeeecbdabcceebeacbbedbbecabccabbdbacacdabcaddedecddbddcbeacdabaabeaaebdaedadaadbeecceeaddcbcaebccccacdacacaadacecebcabcdeaaacdcdcceabecddaaabbbdaaebecaaacddddeaeecbdaccaceaccceeaeeeebbbeadcceacecdccbbbeacaababcabbdabaeadadcbeccadbebeecacacabbcddabecabecdbdacdecbdcecaeabbcdddacacaacaeadbedebaceecdeceadaeedeadcddcdeaadedbadbebccdccbecebadebeacdbbbdebaecdbecdaddbaeaecbeabacdcaaabdbbebccaeeaadbdeeaabcbcdacacdaebaccacdacbaebebacbedcdcbadbaddaacabacbcbabdbddcacbceeeaddcbbbaedeeaebeebecccaaeeaadcddcccdaeeedcbdabcdcaaaeaaecdcdbceecdacaaeaddedbaccdcbbaebdbdeeeaadaddaeabdbdccabdbececebdbdaedadbeaacbbcdbdeeecccccdaabbbaedbaeeeabaababdbeeababbddebeedcdbcbcdaeeadbcedbdeceddedcbeaaaacebbccddccbbccadcdabcaeeadbaaddbdbccceddeebacbdadadbbdbaeeadeddcbaccedbaecedccedbbbceabbeacabbaedaedebcadaecccadeecbeacbeeaeacaaebbeadccbbaaccbebcbaaadeeedebcbaddcdebeebbecdbcaabaddcaebbeaacdadecdbccebceaebcaaebadcdebeddecbbaadeceaeabceaedaacbaebabebcdaecccbacaeebeeedceaeecaecccbabadeccbededeeebdbcccddcdeaccecbdcececabebccdecdacddeebecbbdaaaadcdebbbeeccbedbadcccaaebcacbdacdbadbadadeecdebebebecaaacabcabaadbccbcaccdbbdebcdeeadabdedaeeacdccaaacabdaabeeecabeebaceacabddaaaaaceecdcabaccccccedacdececbbcbcadcecddcdddacdcaebbbcaedbebccbcaedceecddaccceabcbcceaecdebceeeadaeadeddebceedcdddeabcebabadcedadbbeddbedbacadeedaabcbbadaeeaaddebdaeaeccebadabcecbcecebbabbdacccadabebcbdeabbbdadeceaedaabcebeacecdedccdeacbaacabbeabbebddcaedbadcbcacbadedcdeaccdaaebebbeaadcaaaecedbaeecaeaccdbceeedeabaaecddbdcaabdbdcbbaccccccdebcebeeacdbdbdeccbaebceeddbddbbccdedeeebcbcacddecaeaccbbdcdcadceacddeeeeadeddccbededccccccbdebbabbbaeaceceeccedaddbeedebccadaddeecadbdcaabddbbabdacebcdcadaadacebdedabcbcaadedbababdbecababadebccabcaabcdecbededacdbbbaacacdcacbadadeeebaedcecbcececadbeaeaeceaececcededbeacecbbaccdeadaaccdbdecccedaedeedddeccdcacbbbdbacacacabbecabeccacadbdebbbacaaecdbedbdadcddcbadeaedcbeaccdbdbacbbaeebbbbcecdbbadcbdbacaddbebdbaddebcacdeaecdaeaeabdbbaabaebeacacecdbdedbecebdddddcbedaeebcaaadcbdbcddabeddadbeeecbdecceddbebcbdedbdadeddcddceaaebbeceeeaaccabebddebecceaabebcbccedbcedcedcdbcbadbedcbcdeacdcedccebadedebabdeaabeececeedaeeaecdcdcbaaaeebbaddcdbcdeacdcdaeaacbbdddbcdcceebbaeedebcbedebedbbecbdaaabccaacedcebcbaabdcabecaabccdcbecaabaeeebedbdedcbedecbdeecbecdbccccccecdbcceecdcacbaeaddddedbcecacadeebddcddbbaaedcadbbddeaabaaeeedaaabaaeeacdbccabeeadaaedbcddaaebeeabcecadccabecceeaddbcceaddcacceececcebcdeeecddddbbaaaeacabcecccabeeeccededbbedacdadbcbecaeadeeddabbbabeceaaaaecccacddbddbcdbdeddcaecaabebebbbebbebaacaddcadcdaeeedbbecdacaacacdaecdddeabcedaedeabbddacdbacbedebbebdecccdacdcadbadcedbeeccacaaaceeadabaceaadcbcaeccbbddedeadcbceecdaedbeacbbbcbacddcbbceddbbaebcedddacebbaaebedebcedbddeecdbebccaacdcccccdeeebaabeaeacbeaebaadacdedcaeadbbadaedacaddcbedabbbadabcbcebcceedeaddcbbedbdebbeddedccbcaabcadbcadccaabccabdebabeeaeddbcabdbdaddaacaddddbddbdbbacbbdaabdcbccebceeadecaacbdebddccbbbcebeccddaecadaaaddbaacdcdceaedeadbeeaedbaaaeedabdccaabbaceaaebcaeabbcaedbcbdedadecddeadbaceaecdaaaaaccabcddbbbaadcacabacbcccddeccdbebccbebecbbbadecbbdcbcbcdeeacaeaedeeadceccbbdbecdbbeebcaacdaeabbadbcedecebbeadbaabaaae
+152 131
+bbbddaadbbaabcbacbdacbcbac
+ccacbbcdcccdcdbbbacaddaabbaddcdbaaddacccdcbcabbbad
+ddaabdadaccddccadddabbbbbbccbabbcbbabaacaccdbcdacadbabbaabacddcccadbcbcaaabb
+dabddabdccbbadacaccbaddacbdbaacbdbdbaaccbcaccadaddbbbabbddaacabdccdcacccdaccbacdaacdb
+cccbbdcdcaacbbdadadaccbbdaccacdcbcaacbbdadcdaacdcccd
+dcabdcdcdbcccbdddaccabbdbabcbccacabbbdbccbadbabdbbdddadbddcaacadccabddbccaabbacaadcabdbacdbaccbb
+acaacbbdbabcacbcacdaddbadacaaaaaaacdcabaddddaccacbaabbaacacdabdacbccccbbddddcbcbddaddadaabbadba
+bddccabaccbaacdcabddaabdacdddbcdcaadaaadcabadaabababcdcbbcdcdbdaccbacbdbcbacbacabbccbcacadaddaccccacbdaad
+badcdcdadddbcbcaddcbddcaddabdccbbaaadaabcdbddbdbdcbdbbaaacbaccbbacbbddaadcabaddcdcccbadccddaaaacdadaadcbcbac
+bccccccdadbcacdadcbbbabdcdcbaaaabdaadabacbddcccbaba
+aaabacbbaaacdaacbbcbacaadcaaddabcddcdadddbcacccbbdbbccccdddbadaabcbcabadbaaabccbdcaadcdddaddaca
+cdabbdadabddabccacddcaddcccbccccdbadcacdadacacddccacccabdbdabdbdbdbdbaddddbdddccdcddacdcdcacda
+dccdccccbbdadbadbccdccbaabbdbadbabdaccbbbdbddbdddddbccad
+aabcbcdbdacccadddadcadaaabbbadaaacbabadcdbcdacddabccddacabdccbbbbddcdbaddcd
+dddddcaacdadacdaccbdcaabbaababdcbddccdbcababcbbcabcabbccdcbccbddacdcaadbbbaadccdbccaacaacdcabcccaacdabdccb
+bcadbccabcabddabccbbcadcbadbdbacccbccadbcacdcccabbbcccdddbadcbcadddcacb
+abdddacccdbaacaba
+babaccabbadaadbbacbbacbdddddbbcadbbccbccacaddbabcdbbcccdddcabdbabcbabadcbadabbdcadacbddbaadabaacacbbdddbacd
+cbabdcaccbbcbdcdbabaacaabcdbacadaacbaddbdbbcbbbccadaabcdaacaaabdbaccbbadbcddccbbb
+bccadcbcabbabaabaabaddddccdacbadcaccdbbbbaacbaddcbacaacbcbcd
+baddcccdccdcadacccdacbbccdaddabcbdcdcbcaabbbcdbacbcdaccdabaaaaccadbccacbabccbcacdbcdbdcaddbcdadacdcdaacddadba
+acbaddbccbacbdcdbbcccccbaadbabaabcccbddccbacababbcccacabaabbdcdbb
+abbcaadbddbadcdbcaacdccaadbbdccdcdaadacadddacbdbcbdbdadacdbdddaaddbaddcdaccadbbabddaadabcbda
+babbdaadbaccbbbadcbddbcccddbbbccabcddbdbcddaaadbdaddbbccccbcddcaaccbdb
+adcdcbaccbddcaaadbcbbcbbaabadaaccbddbbcbddddbdbbbccdcddbcacadabbadcdaaaaaaababdbcdbdcccdaa
+daadcbbdabdddcdadbbbdaaacbaab
+dabddadcbbddbcbdbadadbbadbbbbdcbcbddcbcdbcccababdbabadbcaacaccddbcccaabaaacaadcbacbbcbb
+abdcbdadddabbbcbbabdcabc
+acabcabccdddbadbabdcdbd
+bcaabacabdbdcacbbcbcdcaccbacdadadbacddcccabddbbbbbaadccddacadc
+cbccddaccbbbdddacbbaa
+caadddddbcbcccbcbbbdbddcccbdaddabadbbcabadcabcbddcabdacbadadcdbcbbbccdccbccdcdcdacaccaadbbadcabcbdcacb
+ddbdbbaccdbadcaab
+dcbcdddbbccbbabbaddbcddcacbadcdbacaacdbbbbcccdacbacdbaaabadaccacccaabbbdbcbbdddacddbcccbaccbcccdbabbdbcad
+ddcaddbaabcd
+daabcdcbdcbbccaabadadabcbcbbcdbabdaddccdaabaddabcabcbaddabcddbcaaccaabcdddabcaacdcdbddabbdadcdacdbbacdabc
+cdaddcddcbbdcbacddcccbbdcbdcacaadcbcdbddbabaaacbbbbadcbdcbabacdacacdaccdbcbaddb
+bdcdbcdadacabdaaa
+dcacdcacbaddcddaaddd
+accadbadaadadbdda
+dddcbabccbaabcaddcbbbddbcaccccdbdabdaadbacdcdcbcdcdbdcabaadacabaccabdbdccabdcbccbbacbadaadcaadabcbb
+daddbdccabbdbddbabdcdabbdbdadababdbbbbbabcbcbabaacdaac
+bbccdbabdddbbcbbcbcacaddcbbbcdcbcbaadacbcdcccdadacbacbadaddaccdabaaa
+aaabccccdccdaababdabdcabbbbccacdddaababddcabbaaabdaccbdcacada
+caabcbdabcdbdacddbbaadadcadbbbbcbdcdcacdcaccbdddcbabdabbbbabcaabdacca
+cabdddccdccbdcddbadbbccbdcdaddacabbbcbadadcccbacbbacac
+acabddbbbacadadbcdddacbccddcbddcaadadabcadcdacbbaaabdaabbddaddcdb
+acacaccabcdccaabbbbbbcababccdabccbaccaccbdabbaabbccccccaabbbbbcdacddbcabcaaacccbbdbac
+cccbbcdacbdadabccdaccccdbbccacdccbccdcdaadbbaaccddaacdbcccdb
+ddbadbdccccdcdbbdbcbdbdbdbacaddaaacccbcabababdcabbdddabddcdbbddacbdccabbcbdddbbcbabdcdbadccbaacccdcbbbdd
+babcbcbdcccbacadacdcaabdaaabdbbacdadbccbcdbadcadacdddcddbdcbcbdcdddbadaacdaacbdabbadabbcca
+bacddccdcbdab
+dddbbabbddabcccaaabccdadcddcaaccadbcaabdcbdaaccdddbbbbbcbabadbcaadbdcccbb
+abaabdbaba
+adccccacdbcacdacaaabdabbaaadcdbdaacaabdaaabdbbccddbcdaddddcdbddbadcddcdbaccccbccdbcb
+abcbbdcbacddcadaccdbabbbbcdbabbcdaacdbbaaadccbbcddadabbcabcddddacdbbaaabcdcd
+cdcdcdbcaadcadaaddcdbcbdbbcdddcdacbcddacbcdbdccaccccbadbdacdddabccbbaadbbcddaabdadabcababcdd
+dacbabbdbbaaaabdbacdddcbcabbbbdbcadabdcdddcaaaacbacbcabdddaacdacccbaadcbcbdacacadbdbbacaa
+ccdadacaacabcbdbabadcdcb
+adcdddcabbbdcabdddacbbcbbadbcabbaddabcaadcbccbcadadbabdadabababacabccccccbddaaadaddbaadcdddabadbcbaaba
+dabccbababbabbbbccbddcbdcabbddcddcdbadcadccbcbddadbcaddacbbbcdbadaaccccbdabdbadccaddbabdbacccddabccbadb
+dcdcdabcaacaccadabcaacdbbddaabcccaccbaabcbdadbbdbdbccbaabcdbbbcbcdcbbacbbba
+dadaacddadaacdbddbacbddddacacadaadbddaccbcbb
+daabdbbcabdccbbaaa
+bacaccadccdbdccbaccdcabcddbaddbbbacccbbcddabbccaddbcddbdcabaaabcdddbbdcdddbdbadccdbaaadbabdddaddccaa
+bdaaabdbcbbcdbaabddaaba
+dcdadcababbdcccddcdbcbbadbddccdabaccabaddcaabaddcddadcbbaadaabccdabc
+ccbbaacbbbabacdcacbdcabbaac
+ddcccdccabdcdabbabdcaacaababbdabdbcdcbdccdddbccabbb
+daabdcbabbaabddcabdcaddcbbccaaaaababacbbbbabbbcdaccbabacdcbbabdddacccdaababcba
+ddbbbcdacddacdaacccbdcdbbdbddccadabacdaacccbbabacbddcbdcabcadbbdddabadbbabbbd
+cadbcacaabcabbdbcaabcdabdcaaacacadbbcdbaccacdabddbccabbaacdabdaacaddcbbacddccddacabbabdc
+cbddadddabdbcdaadaadaccbacbdb
+cbcbaccaccacacbbddaaaabdccca
+abaddcaabacbbbcbbcdaddcddddccaadcbdbddddabccdcdcbdcc
+cabbbccbacdbdcaaabdcabbcbbababbbcdaddbcddadbababdbbdbcccaccbbabbcaababcbbccadcbbbcd
+abcccabcaccacdabcdbbcbcbcbbadaadccdaadbcaacbacacbbbabccacaccbcccacbbdddaccb
+dccbbabadbdbcccdddbdccdddbccbdadaaabcbabbbaccbccd
+dcdbccddaadacabcdacccbadcbabaaacaccaacacadaadcaaacbddaddcdbdcdcbccdcaabaaacacb
+acabaacbdbadcbbad
+cbdbcdcbdabaacddbcdddcbbabaaacbaacaddddacdababaccaaacaacbdbaba
+dbdaaaddcdcabccbdbabbddaaacccdbcccdcacdaadbdbbadbaaccbadaaadabdddbabcdbbdbaaddacabaddcbdbdabbddb
+cbdacabacbbbbddccacdccababccccccbb
+acdcbdaacabcddacbdaccbcbccddcadaadbcdbdbcbbbdbbdddcadaddbddbbdddababadabcaaccbcdacdcbccdb
+acdcbbdbbdacbaacbabbcbbcacdcaabdabccbcabbbbbdbdadcccccabcabdbc
+baadbccacdadbbabbccdacaddcddbbcbbabaadccbacdacbaaabcdd
+acaabdcdbaddacbbadadcbccdba
+bbdabaacabcbdbcadbccabcbaabbabcccadcdcdbbcaaacadbdbdcddbbbadbdcdcdabcbcadbdcacaabcbaadabdbdbdbc
+dacbccddbaaddacccaacccddaaddabcabcbaaaadcdbcadbcac
+cabbdababdaacccdbddcacbacaaaaab
+adaadabddda
+daadcbdbbdccdccdaaaaaaba
+abbcaccdccbcdadaddbbcdbddacddbbddacbddbabcdabcbcacaccbdddbbcacbccacbcaaacbbbbddabbaddb
+cbacacdbcbcbadccbbdbbcdcccdadbdddddcaabbdcdbdcaadacaccbddabddadccc
+aabcdacccadadcbbcdcabcdbcdbbcdbacabdbddcdbbadacbadbcbcdbabbdccacaacd
+adcacdcddbcdbacb
+adcacddcbaddbabddccdaaabdadcbbdacddcaabbddaabddbbdbabacdaccadccadacabaddbbcaabbdccbbbaacccbadacccb
+cdcadabdcabcdbdaddcadadbadddbacdcddccaaddbdabcaaaacabdcacaaabc
+ddbaabcdddbabbbcbbbaddcbcdaccdcddaadbabcdaddcdcbbcdcbbdcaddcdccabdbcddabcdccbaacbbbdbabacdacdcadccca
+dbbddaccdbbdabdaacaacbccdcadabbdcdbccbacbacaaccdccabdddcbc
+bdbbdcbdadaddddbddbadcabdbbcabdcdabcaaabbdcdcad
+bbdcbcbdbbbddbbbbcbcbcbcdbddbcdbacdabdaaababbabdccaacadbbadacca
+bbabbdcbdbbcdccbbaddbdbdaccdccdcdabbaabadcabbcabbadbacdbcda
+adddcbdacacabbaccbababcdbbcabaddcdadacacdbbdbdcacbcbababccdbccbcbccabaabcbabdacadabbadaad
+badddcaddcbababbddddaacddaccbadddbbdbac
+acdadccaccabbccddbcbcabbddaccacbdbcaddbccdbbbadabacadadcdbbcadccadbabbabdcdbbdcdcbcacbcaaacaabcbcbbbdadcbda
+ccdababcddcdaacbbaadbacaabcadcbbddbbabbabaaddd
+bbdadaaadadacd
+dacddabaaabccbacccabbbcdabadcdbbcddcbbccbacaacaddcbdcbcbbaadccdbbddcbbacaaadacccbdacbcbdcacaccabdabacdbcdadcd
+cbddadcdcacddddaaaddbcdcbdcdbdcdcccacddbaabccdaaaadb
+bbcaccacddadcaacbdacbabddacbbbccaadcddbccadbc
+dbdcacbccdbcddaccabbcadccddbcaccdabbadbcdd
+acdbdadbddaadbbdddadcabaaadcbacbaabdadbbaddca
+aabcdaadcdbdcadbaadbccdbdbaacabcb
+dbbaccacbbabadcaacdddbdacdabbababcdcaadbaccdcbbdcacbcbbcddbdacacaadadaabdacabccbbcdb
+adacccdbaabcacbbcbdcbacaaadcbdacaacbbcbbbaaccbcbdcdaacbbdabaddadbacaccbbbacdcddabaccaddbcbadad
+aabbcdaddbcaacb
+bbbddadcaaabaccacccdddaaadbacddcbbdbbcbacdadcabaacddabacdaccaaaad
+cbdadccaccbcbbccdaabccacaaddccdccba
+dbbbcaacbababccccaaddbdbdddaccddacdacbbdcddaccbddbacbdacccadabacaadcad
+bdacbabbdbdaddbbcbccdcbbdbcabdabddaac
+dbacddbccbdccbadbbdbbaaddbccaabbdcdbacaddacbabdddcd
+badbadcdaacabcacaccaddbabbbadaccbdadd
+cbccbcbbdbcac
+cacccadcddcaadbcccabaaacdaaccddcdadacaccddcdbad
+bdacadacccccddbdaaabbaccadbaddabaabdaaccadbbdbcccbcddabddacddadacbbbbadabcabddbabccbcdbacaaccacb
+dbbbcbbaacabaaaddabaaaababdcdcdcdacddbdcadaacababbdaddcbaadcbdacdbdadbcaabdccddccadabbadabbdbd
+ccbadcadbdcddcbcaccadcbcbaababdcabdcbbbadacbdbdcccbdbddbddcdbddcaabcaabbadacdabccbddddcccccbbdbccddbdbbdbc
+abadcbccdacbacdddcdaabaccbbaadbcdcddcbbacbaacaddcadcbabddacadccbccaaddaccadccbbbdbabab
+addaaacaaddccaaabdbbbaaacacbdbadabdaddaadbdaadbadcabcadddadcbdccbbaccbdcbacbdcdbbacabccac
+bbacdcbdaaaaadaddcbadbddbdadcdbaabdabcddccbcdbabdbbacccacacdadddcbaaacccbddbbacacbbbcabbabbcbddacbdbaadddab
+abbdacddcdaccaabcbdcbabaabaacdcacdaabcbdddcadbdcccdcbbbdacbabbbacaaabcbcadabbadcbbdcadbcdabdcacaaac
+dbcbacacdadcaacbabcdaacdadabdaddacbbcccdcc
+bbdbdcbdddadaaddbcdddbcdccbdaddbacaddbdbacbdbbabcdbbacaddd
+bddbacabdabadbacddabbbcdabbcccabdaacadbacc
+bbbbacbcddacdabbcdadbbbcbbccddcdcbadbddcdddbbacdabaaadbbadbbbcdadbadbdabccbbcccaccddaadcdabacbdcdbbabddbcd
+cbadaadcdbccdadbccddcbcdbaccddcdbcbadbabdccacadabcabddcbaabcbdbcacccbddcbbcabdbadccdcadddacaccaadbccbcaca
+baccdccabadcccddcacdcbcadddadcdcdabcbcdbdaccbbcbdbabbcdbabacbaccdcdccccaabbadcbbdbaddcdac
+dcbaaaaacaadcbdaddbbccdcaabcbcdbaccbbdbbacaacbdbacdabdadaabacbabdaabcdddadadcbcbccaacadddaad
+dbbabbcbacabccccabbcddbaaccbaaadddbddbaabadbddcacbaccdcbdddababbabdaaacb
+ccdcbccccbabccdbcabadcacadcddacbaabbaadabdcacbcaabcddcddccbdabcbddcaaadddbcaa
+aaacddccacbdacbaabccaaabdabcbaccaccaccababcbdbbdcaabdbad
+bbdcaabdaabcbdbdcdccdbbdd
+ababdaaccddbcbbddaccccbbabcaccdaadadbdbcadbcb
+aacabcbccbcaadbbccaaddbcbcadcadcddabbbaaaadcdccaccbddbaddadcbbbcbbdcaccabccdbcacddddcd
+cabadcdaacccadcaacdbbbcadcacdbabbdbcabbbdbcdcababbbabdacbbdbddcabcbaacdaabddbdbcddadaddcb
+dbabdabccbcabddcbcdacdbdcd
+dcccccaacdabdbdbdacacbaccbcbbbccddadbbcbcdadbbdccdcadcdccaadacbccdcabadcdcccd
+caabcbbdcaabdddbcccacabccdddbbaddacacbccdddbaddccacadaddadbb
+daccbaacbbbbbcbbddcdadcbaacadabadcbcaccddadccacbbbaaadbccbdcddbcddbaacbdbbbacbaccdcaacbbdaabbdbdbccdaccdabbb
+bcbcdcaadabbadacaccaccdabbacadbbaaacbcccbcccbadbcdcdbbcddadaccacdacccdbbcdccddccd
+cacbcdcdddccdcadaddbdbcddcbacacdaddaacddadcbdbbabdcaadbacaadbddddab
+71 53
+cabacdcbaaccaccdcaabdbddadbabccdccabccdcccbbbbcdbdadcbddcddaabddcdbdaabcabcdcabcbdcbbbdb
+dbdbcadadbbcbbacbdaddcdaaaddccccdddacddca
+abbacdddccdabbbddabddccbddbaadbabbcadaacaddccddbbdaadacdddccbddcbbaaadcddddadabaccdabcca
+dddbbacccabccdbbaadcdbbcbcbcacdcbabbcbdbbddcdcabababcdcddbabbcbddadacbcabdaccbcabdba
+dacbdabaaaadbbacccddabbdbdccbccaadadaacbdbcaccbdabbabbbbadddccbcbadbadcbbd
+daccdadddbcbbbdbbabdcbadbbddbdbaabcdbdbbbdbdbbcacbcddbabdaddddbcbca
+dcdcdadccddbbacadcdadbacbadabdadbcabacbacdbddcdabbabbadacdcaddbcabdcbdbdcbdcdddbdadacddababadadcacbdccadcbdaa
+acadbddaddaaabcbccbccabdbdbccdcccbbbdddcbcdaddcaadbc
+badcbbbbabacdaadbcccbcdacddbadaacbcddbaccdbabaccacbccddcdbaccbdaacdcddddacbaaccbbdabbcdccacddccabcd
+acabdcbbdbaacabaaaababbddcbabacbbcddbadccdcabbccabcbcdccbacbbdbcdbcadbdabdcbccabaadbcdacdacb
+babdcdbccbbacbccdbaabdbdcdbcca
+ddcdcabdbdbdbcbadcbddccbd
+dbbcaaabdcbdbaadabacbaacddbbdaaddddaaccdbcbdaacdbaaaaabdcaccdccbaadcccdacbdaaacdcacadabbccadcdadbbbbb
+daddbdbcbbcaabaadbacdbaaabcccadccbddcbcabbdbdccaacddadacdcaadacbdcddadbaababcbbccddbcaadcaccbacddbdcddba
+bacaddcbaaddaaadccaaccbbabaaadbddcdbbbddaacbbaddaadbbddaaadaacabbccbdbdccdabdbcadcacbcacdbdccaabdadabdca
+abaadbcabbdbddddbaddcbacacddababbaccaacbbdbdbcacddcaacaabdddaaadaabaaacdabbbcdacbacdbadbaccdcddcacaabac
+ababccdaacabdacbccbdbbbbadacabbdacbdccdbbbcbcbdbddcdccccccbbdbbcdcdbbadabdacbcbccddadbddad
+aaccaccacbac
+baccbdbbcaccbdcccadabacacccacdacada
+abcadbcddcaccbcbaddbbcbdaaccbdacacabbbcaddaddcaaacadabadddbbbcbbdddccbcddbaabcbbdddcdbd
+ddddcdacaacbddddaadcdbbcaadadaadabdbbddcbababddacaabcaddbbbdabcbdddbacdaaacadbdbcdccb
+badaabadcacaacadcbcbbcbcbbbdcaabacc
+cdcdacbbaaaaddabbdaddcbaddacdacbdddcdbadcddccadcccdbbbdaddacaabacc
+bcacbabadbacbaccaabddaadcabaadcbaccaaacbbdcaacbbddadacdddbcbabdddcddcbddcbcadccdaccbaabbbb
+caaacaabccddbcabcacccdbdcccbbaabaadcabbdbbacdcbcbbbcccccbddddbccbadcbcdccbaaaabbcdcbaacbcdcaab
+bbcaaaddadaccddbbdccbcadbdcdabddbadbcbdaaadaccccbadcdadadacccacbbdcdd
+cbcbbbcabadbacacbcbbbbbccbdddc
+dcdbcbbcccaa
+acbaaaadbaaddadabbdcabc
+cabccabccadddaacaccbddccaabbacdcadaabcabcaabcacddadcbcdddcaaabaadbbbccdddadddbadbcaaabc
+abbabcdabdabbacdbaaacbaddacdaabbbdbcbabcdbbdabbacadbccda
+adbaabaccbcdaabadaccbbbacdbcbccccbcddbd
+aabdcaddbcccbacbbbdbabcdcbdadcdccbddadcdadacaddbca
+dcbadcadddcaaacdbabcdbbadcbbcacdbaabdcdccaa
+ababdcbbdbdadbbcaadacddacabcdbcdcbacbdbbbdbccdadcdabbdaabadbcbbbbddadabcbcdbcdbacdbcdbbbacbcbbaac
+bcacbaaddadacadcdddbacabdbcbbcaac
+ccadddcbbdbbdabdbabdcbbaaadcacdbdabaddbbadbadbbdcdbaddabcbdacacadcbcabbbbabcacccadcadcdcdbdacddaddaadbbbbcd
+ccdbacabaddaadcdbccccdbcaacaaaaaddbabbaacaadcbbaabbcacdac
+dcaccacccccdaccadcdbbdbcbadbccbccdddcacaabccacddcaadadabddcbaabdcdbaccdcbdabbbdcabaccadcdbabdccbccaddcda
+acbbcadcdcbbaccccbdcadcccdbabcadbbbcdbccabbdcccdbacaadddccddbcaddbdadadabddcdbbdbdccb
+cbabcbaccddcbadbadcaacddaddbbadbcbdacaadbbdbcddabadaccbcbdcdbabbdbcabbcabcccdadcdabdcabd
+dbaadabcdbcaccdbbdaaacccaababdaddcbcadc
+dbbbcabbabdcddbdcbdaddbdcdccbababdbcdadcbbaacbdb
+ddcabcdabcdbbbaadbdaddadbc
+dadddacdbdcdccdaaadccaabdcddccbadccbc
+bccdbbbcdccdaaddbccddbcbbaccccdaa
+aadbbbcadaaacccabdbcacdbacadcccabdcddddcbabddcbaabcbdddaabdabaaaadddbaadad
+cabccdcaabbaccadaabdabbcbcccdcabdddcaadddcdadddbbdabbcdbadcbcdbdac
+dccdbcdadbbdcbcbdbaccdddbbaccaababbbcacbaab
+aaacadcabd
+abcabdacbddcaacdbacdbcacadbcaacddabababccbbcabaacbbddbdbdaacaadccaccddbdcaa
+bcabbabdcccdccadabdcbcaabbaccabd
+dddbdadcdaaadaccdbbcbaaddbcbacdbcaccdaddacbcabbdcddaddbbaa
+cbcdbccddacbcdabbaacabbdadabbbbacdcbbdddcbcbcabcddacdcbcbababddccabcdbadadaaadbadccdacc
+dddbcdccbcabcdadcdcdbcdbabbcbcacaadcddbacccbdaaabcdaccdadcbcccdbcadcddaaddacdc
+abbdbbdcbbadcaaadaabbdcdcdadcbbabdbaccbdadaacacadbdccbddbcbbddbccadbbb
+bcdabbbccaacadcaddaabaacdddaabcccbadbda
+bccddbcdcbbaadbbabdcdaadddbaddbddadcdbdbdabadacccadbbddbdcdccddbdcbabdaaabaaddcaabbbcaabbcbcb
+dcabcbaabddbaabbdccbabbdbcbdccbcd
+caaccbcddbbdaabbabddbacaadabbddcbbdcbacadcacaacdacbbcaabadacdacdccdbdabbdabbcbdbbcdc
+bcaccddbbdaddbbccacdbccdbdaaadcbacbbbbababaadaddabbbccdddcdbdbdacbbcbadbadbbaaddadbaacdaacbdddbaddcaabaa
+bbcaccabcaabdcbccaccdcaddbacbaabdcadadbdcbcdbdddaddacbcadcdddccbbbbacaaccacdcdbcbaccc
+cddcccdbcadccdcaddbbabbdabbcdbdacbbadabcddbacbbcdabcd
+abbcbbbbabcbdacddabbaa
+bdbaaadbcdadccdbcdbdddccbcdbacbccbddcacdccabcacdcacdbbabaaddcadcabadbadccadccdbcbc
+dabbbdacdadaddcabbcccabcadcbadbccaddcbbacaddbdcdcaddaadbdbbcaccacdda
+abbadbccbcdabbbabcdbcbaddbbbabdaabccdbcacdabaabddbcbacabcbcccbaaabbdcadddbdcbccb
+cacccbbcabbacbacabbbaccbdcdbcdbaaadaadba
+bcabaacdabdcabdbadbabdcccccdbbbaddaacdcdaadabdbadcacaddaccbab
+adcaacdbcc
+dadcccdaddbcbccbaadcbbcdaddddcbbdadccbaadcbcbcabddadddbabaababbcbcbcacadadadbbbbcbddbaacdbaadac
+50 40
+bbbabbbbaaababbbbbabaababbbbaabbabbababbbababbbbbaababbbaabbabababbbabbbaabaabbbaaba
+babaabaabbabaabbaabbbb
+abbbabbaabaaaababaaabbabbbabaabaaababaaabbabbbbbabababaaaaaaabababbaabababababbbbaabbabbba
+bbaaabaaaabbbbaba
+abbabbaaaabaab
+aaaaabaaaababababababaaaabbbbaabaaba
+abaaabbabbbaaaaabbabbabbbababbaabbbaabbbaababaabbbaabbbbaaabaaabbabaababbbaabaabbaaaabbaabbababbabbabbbbaab
+abbbabbbabaababbabbabbaababbaabbaaabaababbbbabbbbbbabaabaaaaaaabbaaaaabbababbabbbaaaaaaaabbab
+bababbaabbbabbaaaaabbabbbaabbbbbbbbabbbbabaabbaaab
+bbaabbbababaaababbbaabaaabbaaaaaabbbbbb
+babaaaaabaaaaaabaababaaaabbaaaabaabaaaaaababaaabaabababaaaaabbaababaaaaabaaaabba
+aaabbbbababbaababaaaaaaaabaababbbaaabbabbab
+baabbbabaabbaaaaabaabaabbaaaaaaaaaaaabbabaabaaabaaaaabaaabbaabaaaaabbbaabbbbaaaabaabbaaabbabaabbb
+baabaaaabbababaababbaaabababbaabbbbbbaaabbbaabababbbabaaaabab
+abbbbaaaababbbabbaababbbbbbbabbaabbaaabbbbaabaabaababbbaabbabbababbbab
+baaaaaabab
+aaabbbabbaaaaaabbabaabaaaababababababaabbbbaabaabbaabbabbaabbbaababaabbabbabaaababbabbaabab
+bbaaaabbaaaaabbbabbabbabababba
+baaaabaabbababbabbaaaabbababaabbaabbababbb
+baababaabbaaabaaababbaaaaaabba
+baaaaaababababbab
+babaaaaabaabbabbbbaaaababaababbbbbbabbbaaababaabbbbbabbbaaaab
+abbaaabbbbaabbaaabaaaaabaababaaabaaabbb
+bbbbabbbabbbbbabaaabbbbbaabbaababbabbaaababaaabaaabbbbbbbbabbaaaaabbaaaaab
+bbbaaaabbbaaabbbabbabaaaaababaababaabbabbbbbabaaabaaaabaaaaabaabaaaabbbbbbbbababaabbabaaabbaaaabbbababbaabbab
+bbbaabbabbbbbbabbbbabbababbaabbbaaabbbbabbbbbaaaabbbbbbbbabbaaaaababababbbaaaabbaabbbaaaabaaabaabaaa
+bbaababbbababababaabababbaabaabaaaabbbabaabaaaabaaaaaaaabbbaabbabaabbbbbbbaaabaaabbabbbbbabaabbbabbababb
+bbabbbbbbabbaaababbaaaababbbbabbbaaabaaabbbbbabbabbbaaababbbaabbbbbbaabbbbabaaababbbbabbababbbaab
+bbaabbbaabaaaaaaabbaabaabbbbababbbbababaabaabbbbbbbbbbaababbaabaabbabbabaaaababbaaababbab
+abbbaabaabbbaababbbaaababaaaabbbaabababababbaa
+ababaaabbbbbababbabbbbabbababaabbaababbabbabbabbbabababbabbbbaabbabbaaabbbabbbaaaabbbababbaabbabb
+abaaaaaaabaaababbabaaabbabbbbaaaaaab
+abbaaaaababbbbaaaaaaaabaabababaabbaabbbbbbabbbabaabbabbaabbaababaabaaabaaabbababbaba
+bbaaababaabababbabbbaabaaabbbbbabbaaabaaabbaababbbabbabbbbaabbaaaababbbaabbbaaaaaabbbbbaba
+babaabbabbabaabaaabbbbabaaaaaaaaaaabbbaabaaabbbaaabb
+bbbbbbbbbaabaabbaaaabaabbaaabbbaabbaabbbabbabaaaababbbabbbabaaaaabaabbabbbbbaabbaabbaaaabbaab
+aaaabaabbababaaaaaabaabaabbaababbbabbbbbbaaaabaabbaababbbbaabaaabbababbabbbbabbaaba
+babaabbaaabbbbabbbabbabaabba
+abababbbbababbbbbaaabaabbabaaaabaabbbaaaabaabbababababbabbabaaababaaaabbabbbbbbb
+bbabbbabbaabaabbbaabbbaaaaabaabbbababaaabaaaaaaababb
+bbaaabaaabaabababbabbbbaabbbbaabbaaaaababaababbabbaaabaabbbbba
+baaaabbbbab
+babbabbbabaabbbabbbbabaabbabbabaabababbaaaaaabbbbaabaabaaaaaaababbaaabbbabbaaabbabbbbaaabbabb
+aaabbbaabbbbbbabbaabaaabaa
+aabbbbabbaaaababbbbabbbbbbabaababbbbaababbabbaabbbabbaaabaaaabbaaabbaaababbbabbbabbaaabaa
+abaaabbabbbabbbbbabbbabaabbbabababaaabbbbbaabbaabbbbaaaaaaaaabbaaaaababbba
+baaaaabbaabbabaaabbaaabaaaaaaaabaabbbbabbababbbbaaaaaabababbbbaaabbbbababaaaaaa
+bababbabbbbbbabbbbabaaaabbbbbabbababbaabaaaabbbbbbbababaabbabababaababbaaabaababababaaaaa
+bbaabaaaababaabbbabbbbbaaa
+bbbabaaabaabbaabbbabbbabbbabbbbaabbbababba
+159 114
+aabbaccabaccbbcccabaabbabbccaacbacccbbcbcbcabbbcaacbabbbab
+ccbaabbabccbbcacbbabccccbaababaccccabacabbcaaaab
+cabbcaaacbacaccbacbbabbaabbbcbaabccbbbbbcbbaabbccbacccbcbcc
+aabcbbaacc
+ccbbbcababbcbbabcbcbbbbbabbbcbcbac
+bbcabbbcbcbbccacbaccacbaababcaccbbbcbab
+bcabbaccacaacbbabbcab
+ccbcbccbaacccbaabccacbababcabcacbcc
+abcaccbbbacbcabacbbbacaaaaabcaacabccaaabacbccccacbbaaaccbcbccabbccbb
+acbacbccccbabbabbaabbccccabcbbcaaccbcabaaaaabbacbb
+cabbcacababcabcbbaabbaabcacbaacbabbbabbabababacaabcaaaacacbababcabcacbbcabccbbbaaababcbbab
+cbaaaabbacaccbbbcabaacbacbbbacbccbaaaccacccccabacbbbcaaabbacbbbbcc
+cabbcbaaaaaaaaabaabcccaccacabacbabababacbbbaaacacbcacbcaccaccbaaabacccaccccbacacbab
+bbaaabacaacaccabbbcacacaabcbccaaaaaabcccbccabbacababcbabaccacbcbccaabbabaa
+accabccbabacaaabcaaaaaabcaccccabccbbaccbaccccaccaccabacacccbbccbbaccaabbbbcabbaccabccabab
+baababccccbcbcabccacbacbbcaaaaaabbcccacbaccbcccbbccacaaccbbbbcaccbbabcbccacbcbccaabcc
+cbaabcbaacacbacccbbccbaaaabbabababbaaaccaaacaacaacbaccbabaabbcaca
+cbcccbcbbcbbbacaccacaccca
+cbbbcccacabbaaaaaabbaabbabcbbbbabcaccccccaabcacbcbaccabaaacb
+bcaabcaccaaccbbbabccccacbacccac
+bacbabbababbabbcccaabaccbc
+abbcabbbbcaaacbaabbcbcabcccccbbacbaabbbbcccacacbcabbccba
+bbbacaaababcaacbbaccacccbbb
+bcabbaacbccaccaaaacabbabbbbabbcbaccccaacababccabbcaaaaccbbcaccaaa
+cabaaaaabcbcbcbbcaaccbbbbaabacbacabbbcabacbaabbbabbcbbcabbbabacbbcabcbccaabcbbbcacbbbabaaccbccb
+bcbaaacabcccbbbbaabbac
+bacbaaacaabbcbcccacabaccbbbacacacabcbbcbbbcaaabbabbaccacbcacccccabbbbbaabcbbbcacbccbaaaacb
+ccbbbccbaaacabcbccabbccbbbabcbbacacaaaccacbabbaaaaacaccbaababbbcbccbcca
+bbbbacccbabbabcbaabacaaabcabbacabbbcbbacbccabcab
+cbcccccbbbcbbbacabaabbbacab
+acabaabccabcbcbcaabcbbaabacaccbbaaaacaaaa
+bcaaacbacbcccacababccbbbbaaacabbc
+abcbccbcbacabbacbcbbaacaacbaabbaaccacbbbccbacbacbbbbcccaabbccaa
+cbaabccccacbccbcacbcaacaababcbcccabaababacbbababbbabbaabbaccccbacabbac
+bbababcababaccaaaabccbabcabcbbcbccab
+aaccaccbaaacbbbaaccabbbccbbbbabccabcbaabcbcbccccacaaccbcccbcaacaaaacabaaccaccccacbbacbcaaccbbbaa
+cacaabbbcbbabbbbcbcabcacaaccacbccccbaabcaccbcccacacaabcbaaabbbc
+bbaacbbaacaabcbcabcccababbccaaabacbbbbaaccc
+aabccccccabbcbccacccbbcccacabaabbcbbaccbbbcccbbbaacbacabbccacacaacbcba
+acacbcaacacbbcccccbbabbcacabbabaabccacabccacbbacbabcb
+aaaabbbccbbccbabaabccbbccabbaaacacbbcbbacabcbcccbbccab
+cababaaacaacbbbabcabbcbcaccbbacccbbbbbacbbaaaccc
+bcacababccbabbcbccbbbbbbabcaabcacacacacaaabcacacbcbcabbacabcabbaabcbaaacbbccaabab
+accbacbccbbbacbcbbccbcababcbacbcaacbcabaacbbcaabbaacacacaaaabacabb
+cbbabccaccbacbcaaaaacbbccbacbbbaaccacccccacabaabcacaccacbcbb
+caabbacbbababbcbccbabbcaabaaaaacbcccccbbccacabbbabaaaaccca
+bacccccabbaaabccaabcbbbbbbccababccccbccbacaaababcccabaacbacaccbacbccaaaaacbaabaccccaccbbaacaacbacbbbbaa
+cbaccbaccaabaabababaaabccbaccbbccbaac
+cabacbbcbaacccaabbaacbbcabccabcbaacbcbcbcbbbabbbcbbacbcabbccaacabcbccaabbccb
+accbcababacaccccbaabaccabccababacacbccbabcaa
+bbbacccabbbcbabcabbcbcbaacabcabbbcacacababcbbbabcbbabccbcbbcccaaccbabc
+acacacbcbabaaaabacbabbbbcbbbaaabbabbabacbacaaacabab
+cbacaacabbcccabcabbbbaacaccbcccbbcaacbcababbbbbcbbbcaacabbbcccbca
+aacacbcabbbabbabcbcaaabccacbcbbabcbaaacacbccaabbccb
+cabccccbbaabbcabcacbbcbbcbbbaccabbcbcabbccabbaacabcccacacccacbbcabcaccabcbbbbccabcaabb
+cbaacaabcaca
+bbacacccbbbcbaaabccabbcbcbabbaaaacbcaacbabbbcbccbbbacacbaacaccaccaaccc
+baaaabbacccccbcccaaaacbabaccbabbbaaabaaabcbbccccbabbaaaccaabbcbaccbaabbbbc
+bcabbabcacaccbabbacbabacccabcabcaabbbbcababccacaaccbacc
+aaaabccbbaacabbb
+cacababaabaccaabaa
+cbacbbabbbbcaaccaabbacbabbaccbabcabcbcaccaacbbcbbbbbabaccaacccccaccaabcacacabbccbccbabbbbccbbabbbcababca
+bccbbacbaaabbaacbcabacbbbabbcabccabacabbaccccabcbcccabcacccabbabacccaacbacbbbccbabaabcc
+cacabcaaacccaccaccccbccc
+acbccacbbbcccbacbaabcbabbcc
+ccbcabcbabcccabcabcaabc
+cbbacbbaacccbcbcbcabacbcabcbccbaaacacabcbabbbaabccabaabcacbabbacabbccbacbacaccbbbaabbcbaaaabacbabccaccacb
+aabbacbbaabbaa
+cbbbbbbabbbcbcccbcaaabbbbbabacccacabbcccbaaaaacbbabbcbbbaabaaabcbcbcbaacbcacbcbcc
+aabaccccbacbaabcaaaabbacabcbccccbabbbbbcacaabccbcabaabaaabbacccccaabbcbcabcacabba
+abbabbccbbcbbaacbbbbabaaccaaaacbbaacccacbbccacbbbbccabbbacacaaabcccccbbbcbbaabba
+baabbbcaaaccccaccbaccbaabbcbcabccacabcacaaaabbcabccabaacaab
+bcccbacccbaababccbccab
+cbabcbacaabcbbcbcacaaaabbbaccabbcabccaabbacaaaabacabacabaccbaacccabcaccacaca
+cbcacccbacaaaccaccbbaaabacaccbbbabcabbcaaabccbcccbacbbaa
+abaabaccababbaaabcbbaabbabcbccacbbacacbcaabacacbacbabbcbccbbcabcbbbabca
+bbbbccbcccaaaaabbcbcaabcbbcabccbabaacbbcaaaaacacc
+cbacaacccbbbbbccbccabacaaabbbaacbcbaaccbbcacbcbbbcc
+acaabcaaabbaacabcbaaabbaabcbbbabcabbaccbaaabccccaacacab
+bbcbaaccbccaaacbacaababacaacabccbbacabcbcacaabccbbacbabcbacacbbacaaacabcaccbba
+cbbbbcacaccacbbbabbaaaacabababcccbccbcbccaacccaacccabbaaaabcacababcbcbccaaabacc
+cbcbbbbbbbabbaaabcbcbccacacccbcacaabbaacaacaaccccbbcabacba
+acacababcbbcaabbccaacbbabababcbcbbabbcccbabbbcbacbcbbaccbaabbabbab
+abcaaacccabbccaabbcaaaacbcacabaaaccaacccbcbabcbaacabbc
+aacabbbacacbbbbabc
+acaacbbbcabbbababbcaccacbbacabbbcbbbacaacacaabbaccbcbccacbaacccccbbaccacaccacbaabcaabaacac
+ababcbccabaccaccbabbabbbaaaccabbcabacccabacccbacbacbcccacbbbcbcccaacbbaa
+abbaaabbababacbaaabbcaccccbbabcaababb
+cacccaacbcacccbcbbbbbcbacbaabbcbbcabaaabcbabccbaacaabaaabaabaaaaabcacabbbabbbbbcacacccbacacba
+bbbbbbabbacaaacabcbabbbbaacacbbabaccabbcabbcaaababcabcccbaababcbaaabcacbabacccbcccaaabcbaccccacabccbcac
+ccbaabbabaaaaabcbaabbcbacaaabaacbacccacababcbaacbabacacaaccccccaccbbcbacabaabcaaaaacbcabacacbbaabacaaabbbbcb
+aabbacbbaaabcbabacbcbcabbbcccacbbbccaabaabcababbbababbbcbccccabccccccabbbaacbababcbccabaaacc
+ababacbaacacaaaabbbabcbccaccbbcbabcbacacbacbabbabcaacabcccacc
+bcbcabbcbbaabbcccbbaa
+caaaaaababccbacacaccaacb
+cacbbbababbcbaabaccbbabacaabccabaabbcaccccaabacbcbbcabcaccbbcacabcaccaccccaaca
+cacbbbaabccaccbacbaabcbaccbbabcacaaacaaccbabcccbaabaaabaccccabbcbbcbcbaccabaaccacacba
+aaacaacbcabcacbacbbcacbbabaaaababcbbccbaaabcbbbaacabaa
+aaccbacbbbcabbcccabbacbbcaabcabccbaacaaacabbacaacbccbacbcabbacabaabbbbbcccbbaaacbcacbccbcaacbabcccaabbaa
+cabaababaacbcccacaaccaabbbbabbccccbabbbcc
+aabaccbaabcbbbbabbbcabcacaaaaccaabbaacbbaccaccaaccccbbbaa
+acbaaacbcbcba
+aabbaacccbccbabcacacacacbcbbaaaccbbaabbcabbbabccbacbbcacbbabbbbbcabcccaccbbc
+bcbbcacbbaaaccbbbbcbaaacaacabbaccaababcbbbbbbbbbcbacacaaabbaacbbcabbacba
+bbcbcbcbbcaaaaabcbccbbcbbbccbaccaacba
+ccccbcabacaccca
+babbccaaaa
+cbacbacacbbcccacabbaabcbaccaccbbbbbccabaccabbbcaccbbaabcaabbcbbbbbccacaccbcbaaabaaccbacccbb
+cacccaaaaabccacbacaacaacccbbcaccaabbbacb
+ccaccaacbbaccbacabccbcacbaaacaabbccaaccbcbbacccbabacbcccc
+babbbcccacccbbbbacccaacbccacccbcbbaccbbcaabacbbabbccbabcaaabbcaccbcaccccabccbaaaaccacbacbccaacabcaacbccab
+acabacccccaaababcacabcacabbaacacaabbabcbcccbbaccaccbcbab
+caaaacabbccabababacbccbaabbaaaabcacaacbccbcacbaabbbbabbcbcacccbaaaaabbccaabacaabbbaababaabcbabcbbbbbbccbbbb
+abaabbbcabccbcab
+cbcbaccbbabccabaccabcbbcbbacabbccaacbacacccbcbbabbcbacbcbccabaaacabbabbcbabaccbac
+cbbbccacbabbabaabcbabbaccbcaacbbcbbcac
+cbcbaacaabbcacbabaabcbabcbcbbacaabbbbbaacacbcaccabacabccabcabbcabbbbbbccaabbcbaaaabcaab
+abbccaaccabccaaccbcabbabcaabccbcabacabbbbabcabbaaaacbbccccbbcbabacbbcbbaaccccccbbca
+bbbbbcaabcbccbcbbacbbccaabacccbacac
+abbbaaabaaaacabcccccbccbbbccbbccaabccabcbbaccbbccbaacbccaaaccbabcbbbcbacbcbaabc
+baaacbabcaaabbbcbabbbacbbaaccbccbbcaaccbacbcabaaababacbb
+cabbcabcccacacaccababccbbccbaccccabbcccbbbcbaccccbbcaaabbcbcabbbccbbbcabacaccbccbabbbcbbcacbbcc
+bcabccccbbabacccbbbacbccacabccacacbbbbbcbcbababccabcccacc
+bbbcaaaaaaccbcccbcaccabcbbaaacccb
+ababaabbaccabababbcccccbaa
+acaaaccabaccaaacbacbbaaacbcbbccababbacabbbccaaabcccabbcbbccbbabbacaaabcabbaccc
+caaaccababcccbcbacbabcbcbcaaccbcbccaacb
+ccacccccbbbccbacccabbbccbaacbaacbcaaaabcccbaccba
+bbabaccabaccbcbbcaacbbaaaaabcbbcacbcabababbcbccbbbbaababacaacb
+bbbccacacccbcabcbbaccbcaabcaaacabccb
+bacccaacbabaaabcccaaaacbccbcabbbccacabaababcacaabbaaccbabcbcbacbaabcaababbbaabbababcbb
+cabaaacbcaabbbbcbababcbcbaacaccacccbaabaabcccbaacaaacaacaaaaabccb
+abbabcacbbbaacacccbcabaaccaaccc
+cbbcacccacacbb
+abbbacabccabbacaabacacabccabbaacccacaaabcababcaabccbcaaccbabccbbbbcbbccbcbcacaacbcaac
+ccacaaabbababbaccacbcccaacbaacbbbaaaaacc
+cacacbaccacbcaacacbcbc
+cbcbcaacaacbbcacc
+aabbabccbbccbcaaacbcabcabbbbcaacaabbbbacbcacbbaabbaabbccaaaaabacbacbaccbbcacacbcbccbcbbbbbaabcabcbaaabcbaa
+acbabccabcaccccbbccacaccabcaaaabababbaaabacaacabcbcbcacbcaacaaabcabbabcabbaabaabbccabbcacbaaabbcbccabacccbaa
+ababbbacbacbcccbacaccabbbbabcbabaababacbcbcccbcccabaabcabbcaaccacabaabbcacccbababc
+bcababaabaabacbcccbaccbcbcaaaaaabbabbbccaabaababcaabbcbcbcaba
+baaabaaabcabbabbcccabbbbabbbbcbaaacacccababbabacabbabbaaccabbcbbccbabbbabbbbbcacababcbbbcaaaabcaacc
+baaaacabaccbbcaabacbbabcbbcbbccbabacabccbcaacccbaabbccbbaacaccccbcabbbaaabbccacba
+bcbbaccccbbababbbbbaccbbcaacbbccbccbaaaa
+cbcccbbcbacabcccaabbaccaaaccccabaabbccccbcbacbbaabaabbccacbcbbaba
+bbccacccacccbbcabccabaaccabbabbabacbabbbccacabbcabbccbabccbccabbcbaabc
+aaacbcbaacabbbacaacaabbaaabbaacabbcbaacbcabbbbbbbbbcabccbcabaccbbbaccbbcccacaca
+cabbabbcbccacaabcabacabacabcbbcbcaaaabaabaababbcbcccccbcbcbcaaccbabcca
+cacccacbcaaccaabaabaaccb
+aaccbcbcbbccbbccbacaaa
+caccabbbbccabbaccabaaaaaaacbac
+abaabccbcabaabbbcabccbbbaabaaccbbaabababbcbb
+accaaaccaaccacbbcaaacabbaccbccaacabbbcbbccacccbaccacabcccbabccbccbcaabc
+cbabbcaacabbbcaabbbcccabcbcabaaacccccbbcababbccbbbabccbcbbbacaabbbcaa
+abccbcbacbbaccaabbbacbbcbabacabcbcbcbcbcabacaa
+baacccbccabbaaaacbbaccbaccbbbbbbcbaaabcccbbaaaccba
+bbacbcbcbaabbacbcbaaacccacbaabaababcbbbabbabbbabcacaaba
+abcacbabbccbabcaacbabcacaacaccacbbaaccaaaacbbbbbcccbbbaaaacbaa
+72 15
+bdcddaacaadccdaabaadbabcbdaabdbadabaaccbbcddcdbadaabcbdcaabcdbcbadddcbadbaabcdaaadacdcbccbcdcba
+bacbdbbabcbbddbbabcca
+ccdabaddbadacdbdc
+daaadddbbddabbadbdacd
+dbaabbbdcbabbcdadbcdddccbadcaaddbbabcbdaacda
+cbdacbbcdbdbdbcbdaaaaabbdbcbddcbcdbdcbddbdbcbdaabaaddaaabdadaccddbdadabca
+dacdcabdbccdabddadcaacddbcbbabdbc
+addbcbdacaaacdadaabdaddcaddccbccdcdcddadabaadcad
+cacabdddadcbcbacbcdacabcabcbbcddbaabdbbbcccbabbabccadabddddacabbbcabddbcccaaaddddcaacbaacbddbbddcbad
+cddabacacaddcaabcddcdaccabcdaddbcbccbbdabadaddacbbcccbbadbbddcdcacaaacacdbadccbdccbaaddaadbcbbabcb
+cdbcababccbadcadabadcdabaadaccabbbcbddbbbcbaddbcabdbacadbaddbbdcdbccbccddacdbdb
+dcbbaaaaddcacbbccddadabaaababccbccdaaabcaabadbbdadcdc
+caabcdbdaaacabaacdbdabbbbcbdcbdcbdbacacadcaabcadbdcacbccbccbaabaa
+dddabcbdacc
+acdcdbcdbbdcaaadacdbdcdcbdbaaccbdbddbacaadbdaaa
+cbccdbdbacdab
+dcaaadacccddaddbbcbbcacdbabcddbddaabdabcdcdbcdcccadcbbacadcdbcdabbacccdbadaadcccc
+ddddcbcacbacdddbdddcbbbcdbddcadcadddbaadcdddcbbcacbdccadbdacaaaacc
+cbabbdbbdacd
+cbaddbcbcd
+dbbbbcadddddcabdddadaccadcacaabcddccabccbdcbbaccabcabcc
+ddabdbdcabacdddbcacdcbcdcacdddccdcdbadcabc
+dcdcbcdcabdbcdbaccbababbbb
+ddadcddbbcdddabdabdcbbdbbdcabcdcbbddadaccdaaccbbbcadddc
+bbabdccccbdcaddddabbbdbccdcdcadbcb
+abbaacadbaaddcbdaaaadbacbbdcacccaadadbbdddcabdcbbddabcdadbccbbcaaaaadacbbcddbaddb
+cbcbdcbdbdccba
+cdbbbcdddddaadbadbccdaacbbdbbddddbcccbbbdcbddbbabaabbd
+cabccabbddcdcbaddccdbadbabdaaabadbbbbacaacaccdacddccacdcabdadbdabcacdcbdbaccdbbcdccadbabcbcccbc
+cabdbbdaccdaaddbaacdcdcdabbacbaacdbacddadbcdbddabaaacdabbcabdcccacbabdccbccbccdcadccdcacdbdcadbbbda
+cbadddabadcbccacbcddaabbbdbaadcabaaacccacdddcabdabddcdbdcddccbbbadcadccacccddcc
+ccbdadddccbbccdccccbbaaadddbcdacccbadbcdbcdcadbcbaadd
+acdacdcdcadaaaccbdcabccadadbabbaacbacadcadabbbbabadcaccdcaaccdcaacdcabaabacabdcbbaddd
+badbcccdcdadcbccbaabcdcaaccadaaccdbccaacbccbcccbdcdccaccd
+adcccadcdaddaddaaadddcabbbcdacbdabbaccdcacdbabcdbcdabddbbccdabbbdbabcccacaddccdddbbdddd
+ddbbbcabdbdacabdcdcdbccbaaacdb
+bccbababdddabdcccddacbcacdbaadabdcacabaccdcabbdcdcbbaddcccdacbbcacabbaddddaccbbdddcba
+bcbddababadbbdbdcdcbaccaddbbdccbdbcacabbcdbcdbcdbaadbdcdcadbdbdcddbabdbbaaabdcdc
+bacdbdadaabadabccdaabdaaccbababdbabaccaadacbcca
+badaddbcabcdcddbccbddcccaddcdcbdaccdbacddbbadbbacaddcdaacdadacbcacbccbaabacdbcc
+bcdadaacaacaddccdbad
+dddbccaabbdbccadcccddcccabccadbdaccbbdacdbabcbcacdbdbaabdcaadddbaccdcdabbbcddbddacdbaadcbcdccbabcabcbabacccba
+dacddadabaddddadddadcdacddcdcdbbaabbacb
+addcbacacdcaacbbdcdccbcabcacabcbbdabbbddcdbacabccabdbacdddbcdccbbdcaddcadbbbcccccaacdcbadcbabdaabccca
+bacbbdbdcdcbdaacdddbcadbdbcddbbcaddccbdbbaadbdcbabbbacdcabcdadaddbdbbaba
+bbdbdbcdcdbdbbccdabbcccccbdadcbabbdcdabbcbaaacdccbdcdbdbaddabcccacddbdadbcdcacaabd
+cadaddabcbdddcdabbbcdadaddbcdadcdddaadacbdbbbc
+acacacdaacbbadcbcabcdabadbbbdadccbabadacccddccbcacacdabcabaddcdabcabcdccccddbadcbabbd
+addaaadccdacddbcadacdbbbacbdbbdbcbaddddbbbacacacdccbccbdddbdaaababccdaaccbcaddccabccbbbdcbcbbdd
+cdcdcdacbbadbcdcabcdbdbcababddddccabdcaddbdcddbbbbbadbacdcaacadbaacaccadcadaabddabb
+abadbbcddbbbabdcccdbcbcaaddacadacdaaaadbbaabcaddbdcdbdaaacadccbdaacdbbdacbacdabdabbdbbbddadabbddcbddabcda
+bbbdbdcdcdacccadaaccabacabdcacc
+dcdcacdabbdcbddcbcbdabddababcbbdccdacdadbdcaaaabdaabdba
+bbbbccabcdaacbdaadbddccbaabdacaaccbddddbbbbbabccddbabcbccbcdcbdccbbbdbacbabdcbbbdcaaacbdbbcbbbbaacaaca
+cacabbdbadcdaddabbaabcabababacadadbbdddbdacbdadacdbddccadbbccddadacbbcbcbac
+bacacddcdaadcabcaacccdbdbcdccbbacdacabbbbcdbbaccabddcdaddaaababd
+acdacdccbaccabbbcabdbcabdbddbacbaccbbacdbadbadcdcaddcabbbddcaadbcbadcdbacbcdbdaabbcccbaabdbcabbbc
+cdacdcccccbadcdbdacbadacbadbabdcacabaacacadaaacdaacacacdacabdbcdcc
+abbadbdacbabdbbccbbbbacaacbcbaababccdaabbaabacabadbbacb
+caddaacbbcadaacadbcadb
+bbbccdcbcbaadccaddaacdddbbddaddbdcdadbdcbcbccacdaacbccaddccbacbdbcdcdcbababdbddbcabbbbdcbabadacbcbba
+acaadabaaabcdacdcdcdcccacccdbacadccdcabdcddcbaadcaabccabdbbddbabbabbdbddbdabcbbadbcacabbcdabaaccc
+dccbaabacbacdabaaddadabbbddacabaabadcbbcdbcddccdaddacbdcdccddbba
+bdadcadcccdbcbdcaddbbcacbdbdddddabaacabdcbbadaddadccdcaddbcadcdccbbcacacaacbcaabdabbcacbbcddbddcba
+cbbdbbacbbacdabcdabddacdddaaadbbcababdddcbdaaaadbaccacbbbaaaaddaadbadbbbadabaaaccddabcbbdbdbcccdbcbcddacd
+ccdcbdcddccadddaddcdadaacdaadaadbdadaacbbddcddbbdbdaadadddaddbaabdddcbaaaaccbabaacababbcbddbdac
+bbddcbdbdcdbaaadcabaaacabcccddbdacbbdcacdcdbdbaccdbdacbdbcbadaabcdcacbdaaaddcbbdcabdbda
+bacaadbbccacbcbbacdabbcbdbcbadbcbdaaacadaabbddacbbbbabbacd
+bcccbadbdbaacadbadbbcdaabdaabbdadaabbcdbdacbcbddbcdcaabaabdddbadaababcdcabccabadbbcddbbabbcca
+cbdddbbcddcddcccbabacbdadcabbadbccddaadbcdbadcaaccdcccccbddbcacbdcbacdbaddcabcdcdbdbcabdbbd
+dbbcbcaacaccabbcacbcaadbcdcdbaacadadcbdbdcaddbbacbcbaddbddcaabcdbdcdbbdbddabbacabb
+bccaaaabbddbcbdbaaadbdbdaacdcabcabcbacaacdddcdcdccddbcabbdccdd
+136 53
+aabaababaaababbbaaaabbaababababb
+bbbbbabbaaaabbbaaaabbabbabaabaaabaabbaabbbaaaabbbbbaabaaabbbbbaaabbabbababbb
+aabbbaababbbaabbaaaababbababaaaaabababaaaabbaaabbaaaabaabbababaabaaaaababbbbabbbaabbba
+bbbbbbabaabbbabbbbbbbababaaabbaaaaa
+bbbaaabbbababbaabbbbbbabababaabbbaaaabbababaabbababaabbabbaaabaaaa
+abababbbaaaaabaababbabaabbaabbabbaaabbbbba
+babaabaabbabaaabbab
+babbaaaaabaabbaaabaabbabaabbaabbababaaaabababbabbabaaaaaabbaababbbbabaaba
+aaaabaaabbbaaaabaababbbabbabbaabbbbababbaabaabababaaab
+aabbbabbabaaaabbbaaaaabaaaaba
+aababaababababbaabbbbaababbbabbaaabbaabaabbababbaaaaabbbbaabbabb
+aaabbbabaababbababbbbbabaababaaaaaabbbbbbbbbaababbaabaabaababaababaaaababbabbabaaaabbaaaabbab
+bbbbbbbbbabababaabbabbbababbabbbbaabbaaaabbabaabbabbbbaabaaba
+baabbbbbaabaabbbaabaabbbbbaaabbabaaaaabaabbbabbbbabaabbabaabbaaabbbbaabaabbabbaabaabbaaaabb
+baaaabbaaaabbbabbbbbabbabaabbabaaababaababbbabbbbbbbabaabaaabbbbbbaabaaaaabaaaaababaaaabbbbaaaa
+bababbbaabbbaabbbbaabbbbabaaabbabbbabbabaabbabbbabbb
+aabbbbbaabaaaabbabababbbaaababaaaabababbbababababbabbbabbabbabbaaaabbbaaabbbaaabbabbb
+baabbbbababbaabbabaabbaaaaababaababbaabbabbbababbabbaabaabbaaabaaaabaaaaaabaabbbaabbaaaab
+ababbbabbaaababbbbaabbbabbaabbabbbabaabbaaaaabbbabbbbaabaabbbbbaaababaababaaabbb
+abbbbbbaaab
+abbbbbabbbaabbaaaaaabaabbbabbaaaaaababbaaaaabbbaaaaabababaabaaabbaaabaaaaababbbbabbabaabaabbbaaababbbabbbaabb
+aaabbbbaaabbbabababaaaabaababbbbbaaaabaaabbbbbaaabbabababaaabbaaaabaaabbababaa
+aaabaababbbabbbbbabbaaaaaaabbbbababbbabbbbaaabbbbaaaaabaaabaabbbbbbabbbbbbaabbbbbaaaaababa
+abaabbbbbabaabaaaabababbbabbbaaaaababbbaaaabaaaaaabbabbabbbaabaaaaaaabbbbabaaabaaabbbabbaabbaabbbbbabab
+aaabaaababaabaaaaabbababbbababaabbbaaaaabaaababbabaaabbaabbaaabaaaaaabbbbaa
+babaaabbbbabaaaaabaabaaabbaabaabbbbbaabbbabaaabab
+bababbbababbbbbaabbaaaaaaaabbaaababaaabababbaabbbaabbbababaabbababaaaabaababbaaaabbaabbaab
+bbababbbaaaabaaabaabbbbaabbbaaaaabbbbaabbabbaaababbbbbabaaababbaabaabaababbbabbabbbbbaaabaabbbaab
+bbbabbbbabbbbbbaaabbbaaaabbabbbaabbaabaaaababbbba
+bbaabbbbbbabbbabbaabbbabaaabbabbbaaaabababbbabbabaaababbaababbaaaababbabbbbaabaabbbbbbababbbbabbb
+abbbbbabaabaabbbaabbbbbabaaaababbbbaabbaabbaababaaaaabaabababbabbaaabaaabababbabababa
+babaaaabaaabbbbbbaabbabbbbabaabbabbaabbbaabaaaabaaaabbabababbbbab
+aababbbbbababaaabbbabbaababbaaba
+babbaabbaaababbaabbaaaabbbbbabbbbbaabbaaababbaaaaabaabbbbaabbbaabbbabbaaaaabaaabbbbabaababab
+baaaabaaaabbabbbaaaabbaaaaabbaababaaabab
+babaaaaaabaaabbababbaabbaabaabbaababaababbababbbaabaabaaaa
+aabaaababbbabbbababababbbaaaaaabaabaabaaabaaba
+babababbbbaabbabaaaabbbabbabaababaaabaabaabababbaababbbbbaaabbbbababbababbbbbabbababbbabbaaabbbb
+babaabbababaabbaabbaaabbaabbbbaabbbbbbbbaaabbabbabbabbbabaaabbabaabbaaabaabababbb
+bbbaaabbbabbbaaabababaaabbaabab
+bbbababbabbababaaaabbaaababbaababbbbaaaaabbbbbbbaabbbabbbbbabbabaababbabaaabaabaaabbbaabababaabbabaaaabb
+aaabaaaababbbbaaaababbbbaabbaabbababbabbbbabbbbbbbba
+bbabbbaaaaaabbbaabababbbbbbabababbbaabbaabaababbabaabbbaabbaaaabaabbbba
+aaababbaaabbbaabaaababbaababbbbaabaababababbbabaabaab
+bbabbababaabbababbbbaababbbaababaaababbaabbbbbbabbabaabaabaaaabbaaabbabaabababbaaabbaababbababb
+aaabbbaabbbabbabab
+babbbbaaaaabaaabaab
+bbbbabbaabbbbabbbaabbbbaabbbb
+baaaabbbbbaaababbabbaabbabbaabbabbaababbbbbaaaaaabbabbbabbbbabbabbbbaaabaaababbaabbaabab
+bbbaababbabbaabbbabbbbaabbbbbbbbaabaaabababa
+bbbabbbabbabababaaabbbabbbabababaaabbaabbbbbaabbbaaaabaababbaabaabaabababaaa
+ababababbabbbbababbaababababbaababbaabababbbbabbbbaaabaaa
+abaaaaaaaabaaaabbbbbaabbababbaaaabbabbaababbbababbbaaabbbaabbababbbbabbbbbaa
+abaababbbaaababbbbbababaabbaaaabaabbbaaababbbaaaaabbbbabb
+baabbaababbbbbbabbbbaaaaabbabbbaabbbbababbbbbbabbaabaaaaaaaabbbabbaabbbbabbaababababbaabaabaababbabaabaaaaaa
+abaaaaaabbbbbbabaaabababaabbbaaaaababbbabaababaababaaababbbbbbabbbabaaaabababb
+abbbbabbbbbbbababbaabbbababbaababbaabbaaabaaaaaabbbaababbabaabbaaaaaaaaaaabaaaabababbaaaaa
+bbaabbaabbabbbbbbaabaababbbabbababb
+baaaaaaabaaabbaabaabbbbbaaabaaaaaaaaaaababbbbbaabaabbabbbaaaaabbabaabbbbbabaabbaaabbbbbaabbaabb
+bbbbaabbabbbabbaabbaaaaaabbbbaaaabbb
+abaabaabbbabaaaaabaababbaa
+bbaaabaaaaababbaabbbbaabbaabababbbbabbbbbaaabbbbabaababbaababaabbbbbbbbaaabbbbab
+baaababbaaababaab
+abaaabaabbbaaabbbababbbabbbaabaabbbaabbbbbabbaaaaabbbbababbbababbaab
+aaaababaaababbabaaaaaabbaabaabbbbbbbaabaababbababbabaaaaaab
+bbaabbbaaabaababa
+abaabaaabbaaabbaabaabbbbaaabababaaabbabbbabbaabaaabbba
+bbbaabaaabbbaaabbbaabbbabbaaaaaaaabbaaaababa
+bbabbbbabaaabbbabbaabaaababaabbbbbbabbbbbaabaabbababbababbbaaababbb
+aaabbbbbaabaaabaaaaaababaaabaabbbaaabbbbaabbbbbbbbbaababaaabbbaababbaaaaabbaaaabbbbbbaaabbbbabbbaab
+abbabaabaaabbbbbaababbaabbabaaaaaaabbabbbbbabbababbbaabbabbbaababbaaababbaaaabbbbbbabababbaabbbbbaaabbabb
+abbaaabbbabbbaaab
+bbbbbbbababbabbbaaabaabaababaaaabaaababbaaababaaababbaabbaaababaabbbaabaaaababbaaaababbaa
+abbaaaaaabbbabbbbabbbbbabbbbbaaababaaabbbabaaababaaabababababbabbbaaab
+abaaaababbababaaabbaaaabbaabbbb
+bbbbabababbaaabbbbbbbaabbaabaaababbbbbbaabbaaababbabaabaaabbabaaaaaaabababbbbbaababbaba
+abbbabaaabaaabbbabbaabbaaabbabbabaa
+aaabbababbbaabbaabbaabaaaabbbabbabbbbbbaaaabbbbababaaaabaaaabaaababbabbabaaaaabababbababaaababbaabaa
+aaabbbaaaaababaaabaabbaabbbbaababaaabbabaaaaaabababaabaabbabaab
+bbbabbaaabbaabaaaaabbaabbababaabbaabaabaaabbabaaaabaabbbbbbbbaabbbbabbbababbbaabbbbbbabbaaab
+abbabbbbabbbabababaabbbabaabbabaaababbbaaaaabbabaaaaaaaaaabaabaabaab
+babbabbbbbbabbaabbaabbbbbaababababbbbbbbbabaabbbbbabbababaaaabb
+bbbabbabaaabaaabbbaabaaaabbbbaabbbbaaabbbabaaaaaaaabaaababbaaabaaaaababaaaabaabaaaaabaababba
+bababbabbaaaabaaaabaaaababbaaabaaaaab
+aababaaaaaababaaaabaabbababaaaaaa
+aabaaabbabaababababbaaabababaaabaabababaabbbbabbbaabbaababaaaab
+aabbbabbbbbbaaabababaabbbaabbaabaabbbaabbaaaaabbbabaa
+abbabbaaaabaaababbabbabbaaabbbaaaabbbaabbbabbabbbbaabbaabbbbabaabaaabbbaa
+bbbbbabbbbaaaaaabaababaabaaababaaabaabbabaabaaabab
+aaaaababbbbabbabaaaaaabaabaabaababaababaabaababaaba
+bababbbbbabbabbaaaabaaabaabaababaaabbaababababbbabbbbbbaabbbbbaaaaabbbbaaaabbaabbbbaabbabaaabbabaaaaa
+aababbbaaaaababaaababababaaaabaaaaaabbababbbbbbbbabbabbbaabaabbababaaabbbaababbbabababbabbababaabbb
+abaabaaaaabaaaababbbbbbabbabbb
+bbaabaabaabbbbabbbbbaabb
+abababbaababbaabbba
+aabbabaaaabbaabaaaabbaababaabbbbbabbaaabaaaabaaaaaabaaaaaaaaababa
+baabbaabbabaaaaab
+aababbababbabbaabaabbabbabbbabaabbababaabaabaaaaabbbabbbaabbaaabbaaaabbaabababbaabbaababaababbaabbbababa
+aaaaaababaababaababbbbbaaabaabababbbaabaaabbaaaabbabbbbabbbbbbaaabbbbbabbbabaabbabaaaababaaaababaabbab
+aabbabbbabbbabaaaaabbbbb
+aabbaaaabbbabbaabbaabaaabbbbaaaabaabbaaabbbbbbaababbaaaaababbaababbbabbabaabba
+ababbbabbbaaaabbbbbababbbaabbbabbabbbaababbabaaaababbbabbababbbabaabababaabababaa
+aababbaabbababbabbababababbbaabbabab
+baabaabababbaaabbababbbbbbaaaaababbbaaabbbaababababbbbbbbbbabababbabbbabba
+baababbbaaabbabaaababbabaaabbbabaaabababbaaaabbbaababbbbabaaa
+bbbbabaabbbbbaabaabaababbabbbbbbbbb
+bbaabaabaaaaaaaaaaababaabaabb
+abbbaaaaaaaabaabbabbaaabbbbababbabbbbbabbaaa
+baabbbaabbaaababaabbaabaabbababbaabbaaabbabbabaaabbaabbababaabaaabababaabaababbbabbbaaaabbaaaba
+bbbabaababbaaabbaaabaaaabbababbbbaaabababaabbabaaabaa
+abbbabbababababbababbabbabaaaaaabaabaabbaaabaabbbaaababbbbaaaabbbaaaabababaabaaabbaaaabaaba
+bbaabbbbbabaaabbabbabaaaaaababbababbbbaabbbbaaabbbaaaabaabb
+abaabaabababaabbaaaaaabbbbbbabbbabaaabbbbaaabbbabaaabbaaabaaab
+ababaabbbabaaabbaaabaaabbabbaababbabababbabbbbbabbabbaaabaabbbbaaabbbbbabbbbbbbbabbbbaabaaaabba
+abbababbabbbbabaabaaaababbbbbaaababbaa
+ababaaabaaaabaabbaaaaaaaaaaaabbbbbaaabbbabaababaabbaabbbbbabaaaaabaabbbabbaaaabababaaaabbbbbaababb
+aaaaaaaababaabbaaab
+abababbbbbabaabbaabaaabaababbabaaabbaaaababbaabaabbbabbababbabaababababaabbbaaabaaaabb
+baababaaabbaaaabbbaaaaabaabbbbbaabaaaabbabbbaaaabbbbbabbbabaaaabbbaaaabbaabbaba
+babaabaaaabaabaaaabbaaabaabbabbbbbbaaaabbaaabaababbbbabbbbaaabaabbbbababab
+abbbabbabbbbaaabbbbaaaaababaabaaabaaaaabaaabababbaaabbaaabaabbabaaababababababbbaababaabaaababaaaaaaaaabaa
+bbbaabbbbbaaba
+ababbaabbbbababababababbabbbbabbabbbabababa
+aaaabababbb
+baabbbbaabaabbbabbbbbaa
+bbaaaaaabaaabbaaaaababbbabbabbbbabaabbbabababbbaaababbaabbaababababaabaaabaaaaabaabbaaabaabaabbabbbb
+aaaaaaaabbabaababbabaaaabaabbbbbbaaaaabaabaaabbbaababaababaabbbabaaabbbabbbbbabbbaaaaabaaabbaabbbbabbaabbaa
+aaabaabbbaaaaaababbbabbbaaaaaabb
+abbababbaabbbbbbaaabababaababaababaaababbbbaaaaababbbabbbbbaaaabaaaaaaa
+abbbabaaaabbaaba
+ababbbbbabbabaabbababaabaaaabaabbabbbaaaabbbbaaa
+aaaabababbabaaaabbbbaab
+bbabbbabbabbbabaaaabbbbaaabbbaaaaaabbaaaabaababbbbbaaaaaaabbbaaabababa
+aabaaabbbbbaaabaabaabbababbaabbbbaaaaaabbaababaaababaabba
+aaaaabaaabbabaaabaaaabbbbabaabaabaabbabbbbabaabbaaabaabbbbbbaaa
+aaabaaabaabaaabaaaabbaaaabbbbbbabbaabab
+101 69
+bbaccacabaacacbccbbbaacabaaab
+cbbbccabcacabcbcaabbbababaccacbbacbbabbccccccabcacccaccaabbababcbccbac
+aacbaccccacccccabcaaacaacbabcccbbabcccbbbcabbabccaabacabacabbbbccbbbbaaabbbbbccabaaaaccacaaabacbabaaabbcbbbb
+cbcabccacbbbcbcbaabacabaabcbabaacbababaacbacaacaaacabaac
+bbcbacbcabacaccccacbacbbaaacbaaccbcabbcbbabcaacbaaccacccaacacbcabcc
+cabbcabccabacaacaaabbbbabcaacaaaabccccbbb
+ccccaabbccbcbabcbaabbccbcacacaccacaccbccccccabbacbabcabcccbbbaacbccaaabcbabcbbcacbaaabaacaaaacabcbbbbaaccabcb
+bcaacacbbaa
+bababcababbaccccacbbbbcccabaabaccabccabbbbcaaaabbcaaccaaabaaabbbcacacabbacbababbcabbabaa
+ccbaacbcaaacbbcbbccababcccccccaaca
+aabcaaaaaabccbbacccbbccababccaabbacbbbbbaabbbcaabcacaabacccbccabcccbaacaaabaacaccbccabbabcaacbaacbbbccba
+abbbbccbbbabababababbbcccbabaccbabcabcaccabbcaccccacbbacbbabacbcbac
+cccaacbbbababbacbaacbaacbbccbcbcbbbaccccababbacccaacbacccccbcacaabacabb
+babcccbbabccbacbbacbbbccbacccccccbbccaacbacbbbabcabcbaccbaccacacaaaacaccbbcbcbccbabbcabbcaccabccacbbaacc
+cbbbacacaaacaccbacccbbcaacacabacacbccccabbbcbbcbabbccbacbbbabbbabccabacaaaacacbabbabcbaccc
+bbabccbcbbaabcabacacabbabcbabcacbabcaaababcabccabaca
+bbcbccacbccbbca
+bcbacacbbcccaa
+cabcbcaabbcccbccacaacccbcbcba
+abcacccbacbbabcacbaaaabccacccbbccabbcacabaa
+ccaccabacacabbaabcccbccbcbaacbbacbccabcbaabcbb
+aacbabbcabbbcbbcccbbaaacaccbbbaababcbbbcbacacbccabcccccaaabac
+bccaacaacbabcbacbaaccc
+aaaaabbcbcbabbacaccabccaacbacbcbbcaabcbaaabbaccbccbcbbbacaacaacbaaaabbcaabaaaacaacbba
+cbaacbabcabbbbabcacbbaaaaccbcbbccababcccabcaabacaacaacbbababccaacccbbc
+cbccacbcabbaaabcabaaccaaabaabbccabbaabaccbcacccbcbcacbbbcaaaabbcabacaccacbcabcccacaabaaacacacc
+abcbbaacabcaacbcabacccacaabcbccccbcacbbaccabaaccaaacbaabcbccbccbccaaaacbcbcbbaaa
+bbbaacababbcccbacaccaabacabcbbacaacabbaacbabcaacccabccaaccbbbcbaaccababbcbcbbbaabbbacaabaccbaacbaaccbaaccabb
+cbccbcbaaabbcccabcacabaacccabacbabbbbaabbccbbaaabbbcbca
+bbabcbccbabcbbaaababacbbabbabaccbcacbbaacaaaccabaccbcacacacabacbabbacbcbabbbcacccacabbabb
+bcbacabccbaacbcbcbacabbaacacacacbbccbc
+bbbbbbcbaaa
+aababababcccccabbbbcacabaccbbbabaaaabcbbcbaaabcbccabaaabbcbabaababcbacbaccbababcccbcacaa
+abaaaacbbabbccabaccbaacab
+bbabbbbccaaaccabbcbabb
+bcaaaabcabcabccbbacabbcaaaabcabbccbaacabacbaccbbbabbcccaacbbbabbbbaccba
+ccababacccacbacaabcbaacabacbaaacbabcbccbabbbbccaacaaabcbaacacbccaaaababbcb
+aabbcbccbcaccaaaabbcacbabbcbcbcbccacbcbbcbacbcaabaccbcbcbcbabcbccaabcbcacbabcabbccacccabacaabcacabbbabcaac
+acbbccaaacccbccababaabcbbccbbbcccabcbbbbbbccacccccaacacbccababcbbcbbabbbabaabbacaaabacabbbccaacbc
+abccccbbacc
+cccbcabacccbacabcabaaaacbbaaaacbcbbbbcacacbaabbaabcbabccabbbccaacbccaacaba
+ccaacbbabbc
+aabacbabcacacccaabcbcbbaccbbcaacccbbcacbacaabccbbacbcbbcbbbaabaacbaacabbcabcacacbbcbbcccacbcaacccbbcbbacbcac
+acbaabcbcaaabcbbcaabbbcbcbcaaaacabbbccbcbbbabbaaccbcbcbbcbbcababbabababaaaabaaabbcaacabcbacca
+aaabcbbcccaacbbcbccaaacbbbcccbbaaaabaccbcccbbabcccaacaacabcbcbccccacabcbaabbcbbbcacacacaabbbbcbbaacc
+bbaacabbacbbbaabacbbaaababbaaabbbccbbabbcbcabaaaaccabccacaccaabcaabbccaacc
+bbcccaacabbacbccbbccacccacbaaaccbabcabbbabbaacbcbaacaabbcbbabacbccbcbaccababbbbcbccbabbbcbcb
+aacccbcbbcbaccabccacbbbccabacaaabaaaaabaaabcbcbbaabcbbcbacbcacaabcbcbcaaacaabbabbba
+acacabcbccbbcbacbc
+ccabaabcbbbabcacaaacabcbacaabca
+cbbaccbacbcccaacbbcccaabcbbbaaabbbb
+cabbbaccccacabcbacacbacaaacbcacacbaaabcaabccbabccbccbbcccbccbabccbbcaababaaacbcacacbacacabcaaa
+cacccacbcbbbabacbbbccbccaccbcabaaccbcbbbcabbcbabbccaaccccbccbccaccbaccaaaabccaabcaacaccabcbbaaccaabbbccacbb
+ccaacbaabcaaacbcbacabaaacbbabaabcaccaacbbabcbbcaccbbbaabababbbbababbacbacbbacbcacbbaaccabbcbacbacbc
+ccbbabccbbcabcbabbabcbcaacaabbbbcbacbcbccbcabbaaabccacbcbcccacccbaaabbccaaacbabbacabcaa
+cacacababacbacccbbbbacacbcabacaaacaabbacabcbcbbbccabaccacbacbcbcbabcbbbbbcbbccacbcaba
+babccbccacabaaaaaccabcc
+bcbbccaacabaabcccbcbbbc
+bcbbaaabac
+bbcabbaacbacbbbaabbcababbbcbcbbaaaabbabccccbccbacaabcbacbcbcbbacaabbbccacbbaacbabcbc
+babbabbabacbbbbbaabbcbbcbcacacccbcbbccabcbbcbcbbabbbbbcbbab
+cbaabaaccaabbcbacacbbbcbcbb
+cacaccabbcacabcabaabbcaacaccaabba
+caaaccbacabbcbcbaabcacbbbccbbccabbcbbbbcabbbbabbacaaaaaacc
+caccbcbaacababccccbcbbbcbccaccccaaaaababccbcaccababbb
+cabbabbbbacaab
+aaaacaabccbacccaabbcabbbccabcccbaaaacbccca
+cccbababcccbcaaacabcbacabbccc
+bbcbacbcabaccaacb
+bbaccbbaaacacabc
+abbaccccbaaabacbcabcbbccaabcccaccbcccbcccbcbccbcacbaababcbabbbcabaccbbacaccaacacaacbcaaa
+bbccbcbaabcbbacccbccbbcabbcbbccbcabbbbbcccccccbaccbcbcbcaaabbcbbabbabcabcabbcabaa
+caabbbbaccccabcbcbbbcaabbabbcbacaaacbcaacbcaacccbacccaacbabbbc
+caaaaccababbbacabcbbcaacbbbbbbaccaabbccaaaaccaacabbbccbacbbccabaacccccbcabacacacbcbcb
+bccabbabcccbacaaaaabbabbccccbcaaccbcaabaacacbaabbcabbbabaabca
+caccccbbcaacabcbabccaacbacbbbbaacbaac
+cbbccabcbbcaacbccbbbbbbabccccacbcabbbcaacabaabcbbbcbbcababcbacbaccabaabbbbcbcbaccccbabbcaaacacccbcaabacbaabbc
+abacbababbcbccbcccbacabcccbcacaabbbccaccaabbbccbbcaaabcabcaccaccabcaacccbc
+abaacbcacaaabbabb
+cbcabcccccbacbbccacacbaaabbcabaacbabcbbaccaabbaacccbcbacacbcaabccaaaccbbaabbacacacbcacbcccccb
+accbaccbbabcaaaabbbabbaabaaaacaaababbbaaccccbbcaabbbbacacbcababcacacccacbabccbbbcaccaccbbabbabbbbc
+bacbbaaacacaac
+abbcbbbbaacaacacbacbacaabccbaabbcbaabaaabbbbacaabcabbcbbacbbacaacacacbaababbacbccacbbabacaabbbcbbbbcabbbabb
+accaccbabcaaaaabccbbcaaaabcbbbcaccbbabbccbbabcbabbbaabcaacabbc
+cacacccaacbbcbccbabbccbbacbac
+aaacccacbbcbacaacbccccaaaaacabcbabcbcbbacabcbbcaacaabcabcaacacaabacbcacbaac
+cbbcbaacbcacabbacccbcbaaaaabcbabcaaccbbcaacba
+aabbbabbcbbcaccbcaaabcacbaacabacabbbbccaabaaabbaabbabbcbbacbaacccaabcaabcaacbccbccababcbabcbcabcbcbac
+aaaabcacaaacbcabcbacabcbccaaabbbaaccaaccaccbbabcaaccbaaabbacbbbbacacaabcbcbcabcbcaabbabbaabbbc
+bcbacaabbbcabcbabbbaacabcbbacabcbccacc
+aabccbcabcbacbcbcabcaaccaabaaaabcbabbbbacbccbacbcbc
+cbaaaaaabacaacbcccaacbbbbbcababca
+acacbbbaacacabbaccacbbcbcbbcabaacabcabbaaaacabcabacacabaccaacab
+bbccbaaabacbbcbbbbcccccbcbaaaabccbac
+cbaabcbcbbabbcaabbaaacccbbcabbabcbbacbcacbbccacbaccbbbbcaaacaaccccbbb
+bcbcbcabcaaacabcbacacccaabbbccaaabbabacaccbbbbcbabcaaaacccbcccccabaccbccaabbccacbbaccabcbbbbbcbb
+bbbbacccccacacbcbcaabbbbbabaaaaacaaabcabbbcbbbbacabcbabcacaccabaabbc
+accaabbbabccbccabaaacccccccaccbccbcbaabbccabccaccbbbbbbcbbaabcaccccbcacbacbaaa
+cbabcccbbbabaacbbcbbbcaabbcababacb
+bcaaccbaaccacacccabbaaccaaccbaabccaacaccbbccaabcababaacaacbbbbaacaaacbcacbaabbacaba
+bababccabaaacbabcaabcacbaaccccbcabacabbcbacabbcbbbabaabcacbacbaaabcabbcbbbabb
+277 78
+bacacbccbbbabacbcabbaaabcbcbbbbabcaca
+babbbbaabacbac
+bcaaaccaccacabacccbbccbccababcaacabccbaccbaaacbaaabcccbacaacccbcbcbbbccbbcaaacccabcbcbbcbcaacac
+acbcaaaaabacbbbbccbcccbaaabcbabcbacaaacaabcbcabacacccbacbccccaacbcbabcbcbcbcabbbbcac
+cbaaabcbababbacbbbaabbba
+bcbbccbcbcab
+bbbbcacacbbcabcb
+aababaaabbacccaacabbacabbcbaccacabaacbcababccbcbbbabaacabcaaaabaabbbcaabacbbbccbbbccc
+acccbcbbbccaacaacbbaaacbcaacacbbbcaaaacabaacababaacbbbacbcccbcbba
+aacaaaabacbccaabcaaabcabaabbcbcababbbcabcbaaacbab
+bccacababbbcbaaacbabababacacbbaaabaacbbabaacabcacababbcabcacacaacbbaacabcabcbbcabccaaccbbcaaa
+bbcacbcabababacabccccccbbcbbaabababccabaccbbbcbcbacaaabcaabaaaccaa
+bccbaaacaaabbbbbcbaccbaabcbcccbbccaaacacaccbccbacbaaccccbabbbabcaabcbaccacbcccabbacabccbaba
+cabbbbbbba
+cbaacabbccabacaabbabacbaaccacbcaccbbacacbbaaabbbbbcabbaaccabcabccccabbccccbccbcaaa
+acabcbaaabcccaacabacaababacbaccbbcbbcbbcbbcabacbcaccabbacbbacbbcbcbbcbbabbbcabc
+acacababccabbabcbacccbbbbbaccabcbbbbabb
+bcbabbaabbaaabcabbabcacacbcbccacabbb
+acababcabccbbaba
+ccbcbbabaabacaacaacc
+caabbbcccaaabacacbbbbaaaccccabbbaccabcabacabbababcb
+abaacbcacaaabccaccaacabacaababbaccccccbbbaccaaabaaaababbccbaacbcabcbacabbcbaabaabaabaacca
+baaaccbbbaaccababcabcabacbcbbbaccbccbbaacaaccbcbb
+caaacccbbbabacbccccbacaaacbccbaaccacbcaccabacaaaabcabb
+aacaabccaacbcbacbabbacaacbbbbbbccccaacbaabcbbbbbbaaabaabcacbcbbcacbbacbbabbbacacacabbbaccca
+ccbbbcccaaaccbbaababb
+cabbccbcccbcccb
+cbbcccccaaabcccbacbcaabbacbbacababbcccbabcbabaccbbcabbcacabcbabcbccccbcbbbaabcbcaacabcbaaccbcaacacabbbcccbb
+ccacaacaabcaaabcbccabcbbbbababbabbcabaacaaaaccaaacaaabaaaa
+bbbccabcbbbbabcbbbbacabbababacacbcbcbcbcbbcbcbcaaabbaaacbabcabaabcaccccaccbcacacccacbccacaccaac
+bbaacabaaabbcbaabbcabbcbccbabccbaabacacacbacacacacccbbaaaaaccbcbca
+babaccbccbbbbccacbbaacbacbaacaccaccabbccbbccbbabcbcbabcaabccaaabcccabaaabbccccccacbabcabcbaca
+cabcaaacbcccacacacbabcacbcabbaccaaacabbaaaccaccacaaaaaaaabbbbbcababcccaccbbcabcaac
+bccbccccaacbaaabbaacbbbcc
+cababcccbcbaabcbaaaaaccccacabcaabcbbbbacccbbcabcbccccbbccbbcc
+cbcaaaaaababacbbcaabcabccbacbbccacaccbcbaabaccbabbababbbaccacccccabccbcb
+acaacabacbababcaacccbaacbcccbabacacbacbabccbcccbb
+bbccaccabcacbbcccbabbccbabacbaacbcbabcc
+ccacbcbbcbcbabaaacbcacacbcbaabccaababaabcbababbbabbaccbcbcaacbbabbabcabccccccbabb
+cacbacbcaccccbccbcbcbbacbababababcabacbbbacaabbcbbaccccbabccacaacbabaabcaccbacbabcaacba
+bcccbacaaba
+acaacacabccbbbcbbbababacacbcbccbcaacaaabcbaccbccbaabbacbccbcbabacbabcbaaa
+abaaabaaacbcababcacbcbcbbbacbbbcabcbcbaccccbcbbbbbaaaccc
+aabacbccbccabcbccbcbaacbcabbbacccbbbcb
+cacccbacacaabaacaaccbcbcbccaccac
+bbbccbbbbcaccbbcaacacacacaccbabbcaccccbcaababccccccaabcaaaabbaacacbcabbacbacaacacbabbaca
+babaaacbbbbcacabacabbcaccbbcaaabcbcacbaacaaaacaabcbcccbcaaaccaaababbcaaabbcbabbbcccbccbcbabbcbbaaabacca
+cbabbccccbccbcccaabaabaaaabbbbbbaaabbaccccaccabaaaabcccaabacbcccabbccbcbcbc
+cbaaacbaaacaccaccbcabbbbbbaaaabbcccbbbbbbaccbcabbccbabcaabbabacaabaccbcabacbcbacbbbca
+acabaccbcbcc
+bcaaabcccbccbcabbbcaaaaccbabacbacaaaabb
+cabbcaabbccbacbbcbcbaabbaaaabbbcbbcbbcccaccbbaca
+babaacbcacbcaccccbacaaccabbacacbb
+cbaabaaabcbcccabbbbbaaaccbbbcabaaacabacaacccaaacacbcaabccccbcaccbcabaaabbbcacbbcccbabbbcca
+cabbccacbccacaacaabcabbccaacbcbcacccabaccbacaacccbaaaacacbabacaacacacccbbabcbcccacbcccbcaaaacbcacaaacbb
+ccaaccccbcbacaabaccabaabbbaacaacaba
+baacccbcccabacaccbcabaaccaaaabcbababcccbacbbabbb
+bacacccccbcbbbcabcaccaabbccbccaacaabaabbacccbcaccbbabccbacbaaaacacaaabacbbacbccbaaccaabaaabaaccacbabbcbcbca
+bbcaaaabbcbabcbbcaabbccabcb
+bcbcabcccbcbcabcbcbccbabaaaccccbccacacbcbaacbaaacaacabaabcaaaabccaca
+aaacbcbaaacacabacacbabcbcacaaccabaacabbaaacbbaacababba
+cbbcbccbbccacccccbcaacbbabbcbcaacbbacaacabccbcabbbccacbacbacbacbaacaabaacbcccabaaaaacabccaab
+abaaacbccbabbc
+acabbacaabcaabaabacbcabab
+babcbbcbbcccb
+ababababcabacbbbbbabaabaccbaccbacbcbbac
+aabcbcacbaabcbababbacbbccbacaabcbababbabcabbacbaacbbabcbcbbacbbbcacbbaaac
+abaccbabcaabaacaaacccacaaacccacbcabaaaabcbbbca
+bbccbcbccbabbaacabaacabcbbccbbcbcccaababbbbaabcacaaabbcccacacaabcccaaaa
+ccaacccbabccaccc
+bcccbbacabccbcbccccbbbbcabbabaccbcbaaa
+bbbaccaabaaacbbcbbbababcacccbabca
+accbabcacbacccacccbbaacabaababaaabbabccaabcabbacbcbcccabacbabaaaccccacb
+abcbbaaabacacbcabccbcbbcaabccaccc
+bcabccabcbbbbbcabbcaccacbbcbccbabbccbabbbba
+ababbbabcaabcbbccacbbbabccaaabcaabacababcaccaccbbcccabbcccababccacbbbacccbababbbbcc
+bbcaaaaccbbbcbbaacbabaacaccba
+abacaaabcacbacabbbcccbbccc
+ccabaababcacaaaaacbccabbacbaabcbaccbbacbbcabccbbcabbccbabbaabaaccbbaacbbacbbccabcaabbcbabcc
+cbbabcbbacbcccabbaaabbabbaaacacbbcccccacabbabaaaacbcbabaaabbbbabcba
+acabcbbbcbbcbbacaaaacbabbaacccbaacaaaabaaaccacabacabccbbacaaba
+accbbaacacacaaccaaaabbcccabcccbababbabaccabcbaabbccccabc
+ccaababacbccabbccccbbaacabcaaaacbcabbcccbbaccaaaccbbbbabaccabbccccaababaababbcccabbacccaaababaaccbbbacc
+bcababcabbbabcbaaaacaaaaaaaaaaababacaccbaabaccabbaaaacccbbbccaabaacccbabcaabaccbbbcbbaabcbaccabcbaaaccca
+bcacaccccbba
+baaabcccabbbbacbbacbaaacbbbaccacba
+babcbaaabbbaaacbcabbcbbcccaacccbcbcaaaacaaa
+aaaabbaaccbbcacababbbcbccaabababbcbacbcccbabacaaacbbaaaaabaaaabcc
+cabcbcbacbabbbabccacbcccccaacabbbacccbcabcabaabbbaabbaaabbcaaabaacaabbcbccacccabcabbbabbaaccaaccabbbaaaac
+cacacbbccbbcbbbacacaabcaabaccaababbb
+cacbcbbbcaccaaccbcbcacbccacbacbaabacbcbbabcb
+aacbaaccccabbbbcacbcabbccbbccbccbababcaabccacbcbcbbaaababaabcccacbcbccbccaaaba
+cacaaabccaacacccabbbaaccacaccbbaccaaacbcaccbcccaaaba
+aaaccccacaaaacbcbabcaccbcbccbcccbcabccaabaaacabac
+bbcacbbcabbcacccacacacccbbacbbacbccabcbaacbcbacbbbcbcbcbabcaaababacabaaabcbccabaaaacabccbaaabcbbabccaacbcbbba
+bccaaacabaaabacabcbcbcbbbcbbaaccbcbbbbacccbcabacacc
+acaabaccbaacacacababacabbabc
+ccbbbccaabababbcccbbcaacbaccbab
+bcbacbbabbacaacbcbabcbababbaccbbcbcbbbbcbb
+ccbcccccaaaacccccbacccbbcccaabbcbcabbaabbacbbacabbbab
+ccacbabcabaccabbacaaccbbbcbabccbacbbbcaaccbccabbabcbbabbabaabaa
+cabccabccbbbbccccbaaccbabccbcabcbbabaaccbbcccaccbccbbaacabcccaaaabaccaccab
+acbcbabaccccaababa
+aacccacbacccbcccbbcaacbaaabbcacacabbcabac
+ccaacbbaaabacbaccbbbaacbccaaccb
+bccaacbccaaaacbbaacbabacbabbccabaccacabccbbbaabbaccbccababbabcaaababababaaccbccbbcbbbcabbaccacacbaba
+aabacccacbbbbcbacccbacbccbccccbaaacbbabbaacccacbbbcbacaabbbbaccbbacaccbaaabaaccccbacbbbaacacabaa
+cabbbbcbababacaabaabcabbaabcaabbbccbccaccaabcbabcaaabcaabccbcbcb
+bcaccbaabbccccbcacccbcbaccbbcabaccacabcbcc
+caaccabcccbaabcbacacacbbcacbcccabccccacacccbbababbbcacabccacacccbaaaaccaaa
+cbcbbaaaccacabcaacabaacbcbbabcbaabaababacabbaaca
+ababcacbbaabbbcbcaabaabcacabbbbcacababcbabcacaccbcbcbbaccbacaaccbabbbabbbbbbaabbcaacabccaabbc
+bcbccccabcccccaaaaccabaccaccbcccbbbbccabccaacaacbaacbaccbaabbabcaacacabaacbccbbbbcabbaaab
+cacccbcabbacaaabacbcccbabbbccbcaccaacbbababbacaabcacbbabbcbbcbaaabaaaabcccacabcbccbbcacbcaacbaaba
+baabaaccbcabcabbcbacccbbccaabcacbabaabbbcbcbcaaacabaaaabbabaaccabaaabab
+cbbccaacaacbbccaabacacccbbcbacbbcabccbbcabccabcaccacbaccbabcaabaccabbcccaaabcababaacbbaabbb
+bbbcaccccbacbabaccabacabbbbcacbbbbbcbcbacabbbcabbaccacabbcbccacaacbbcaa
+cabcaaabacccacaabbcbbaacabbacbabaacbcabaacbcacacacabbcbabbbcb
+aaaaaacccaccbacbbbcbbbaccccbbabcbbcbcbaacbcbbaabcacacbbcccbabcbbcbaabcbbaba
+caccbcabccaccacabbabcbbaaabacccbaacbaacbbbacbabaaacbbcbcccababbcccacbbbbb
+aabcccbabbaccccbacbaacaacbbbacbaaaabbcbcaccbcbcaccbbbccbacbbcb
+aabaaacbaaabaacaacbaabcbcaaacccbbbbabaabcbbaccccabcabcaccaccabacccbcbaa
+aabacaacbbabbbbcbbbcabacbbacacbababbabc
+accabbcccbccaabacaaacaaacaaabbaaaabcc
+babcccabbbabaccaccaacacccbcabbcabcaabccbbbbbaccaacccbcbbacabbcbbcbbcaabaabcabacbcaabcaccbbacccbabbab
+bababcbccaaccccbbcacaaacaabcacabaccbcbbcbccbbcbbaaabbcbbaccccaaccabaccbaaccababaaacaacaabacbcca
+cbabcaabbabbbbcccab
+bcccaabacaabaaccaabbccbacabaacabccacacaccacbbb
+bbbabbcabaaccacbaaaccbbaacabbbcbccacccacbcabbacaaab
+cbaccacbcbaacaaabccbaccacabbbabcbcbcaccabbbbaaacba
+cbabbcacaaacaaaccaaaacbcabbcabacababaaaacbaacbccacbbaccbbac
+baacaaaaaacaabbbbabcaacbcabccbaaccaccbacabcaaaacbbcbcbabbacbcababaaabacaaccbabbbcacbc
+acbcbccacbbaacaabcbbccbabcaccaaccbcacababbbccbbccbcccabaacbbcabaaabccaaabaabcacbaba
+bbcabaabaacababccbaabbabcabbc
+bbaaaabacbcbaababbcbaaacab
+bbaabbacccbcaaacbbc
+baccbaaacabbbcbcbcaaccbccabababcbcccbbbacbbbabacabbcacbaccccccaaabcbcbbcbcababcccaccccaccbbabccc
+aacababcaacabcabbabbbccaabaaccbbcbccbcbccbcabbbccccacbacccacac
+caccbbacabacaccccaaccaabbaaacabccacbbcaca
+abbcbaaaccccabcaaacbabbacbaabbbbbbabaacccacaaaaacaaaacacacabcbbaaccbaaacacccaaccacaaacccbbccaccbcbccbccbca
+caaaaabaccbabbcacaaabbbaabbababbcaacbcbaacbbbbacabcacc
+cbcbbccbcabbbacacbaaabbaacbbccbabbaaaabacbcabccaccccbacabcbababcbaaccbbbbbbaccbbacacbbbc
+cacacacbabbabbacabaccbbbbacbcbacaaababcababaacaaaaaabaaabbbca
+cacccabccabbbcaaacbcbb
+cbbcaacbbaabaccab
+baaccccacaaccbacbccbbacaaccbbcaaba
+aacbaaaccbccabacbacccbababaccbabcbbbbcabbcaacccccaacbcacccabcacbbacbbb
+cacbacbbacbcaabbccccaacabc
+bbaabbbccacaccbaaacbacbbaaa
+acaaabcacbbaabccbbbacababacaabbcc
+acaaaacbaabbcbabbccbbacaccaacbbbabaacbbbabaabbaabcbaaccacabaacabbacbacbbaccabbcaabbbacb
+babbcccbaacaaccabcbabbcbaacbcabaacaccbbbaccabbbccacabcbcbabaacccabaccacbbaabcbacbcaaabaac
+baccbaaaaaabbbacacbbbbabcbacccacbbabcabacbbbbabbabcbbbaababaaaacaaacc
+bcbbcbbbbccccabbbabcabcccbcbbbbababbabbabbaabacbbabacbcbcbccbbcabaacabababaacccccbbbbcccaaabbacbbba
+bacbcabbacbbbcacbcacaaaaaacbcbbabacccaaaaaaaabbaaacbccaacbca
+bbaaaaaaabaccaacbbcabbacaaacaacaccaabcccbabaabaaaaccccaaccabbababcacbcabbbccccbcbcbcbbccccbcbbcba
+bbabbbbbbbabacaaaacacbcbcabcaabccabcacccbccbacabccaaccca
+caacacbccccacbaacaacbcaabbbbacababbccbaaccbcbcbb
+cccabbbbbb
+baaacacaabcbccaaacbbabcaaaaacbabbacbaaaaaaacaabbcabcbbbbcacaaccb
+ccaaacaacbcaacbabbbcbabcbccbbabccaabaaccabbaabcabbbbcbcabac
+caaccbaacccaabbcbcabaaaabacbbb
+abcbbaaacabbbaaccababbcacacabccabb
+bbbcacaababcbbacbbaacbbabbacabcacbabaaaccacababc
+bbabcbcaccbababaabbabcccbacbcaabacbcabccabbbaaababacabbabbbbabccbcabcbcccbbcbcbcbbbcbbabbaca
+caccbacaacabccbacbabacccaabbbbbccbabacaabbabcbcabcbaabaccbcbccaaacbbccbbbcbabbbbccbbccbaba
+bacbcbbbcbcbabcacacacacbcccaacaccccacbbbccababbabbcaacccabcbbaccaabca
+bbababbacbccccacaacabaaacbcabcbabcacaaaabcaccccbbbcaabaaaaccbbcbaacab
+accbbbcbbcaa
+cbabbaaacbabbabacbaaacbaacbaacbbbabbcacaababbbbbbacccbcaabcbccbcbbacacbabacbccacbbccacbaccbbcbccbbbaacbc
+aaaabcccabbacbabaccaaaabbaaabcaabbccbacbcacbbcaacccbcbcaacbabcbaacabaaccbccbabaccaccaacbabbcccbaccbbbb
+cbcccbbabcacabcaabccab
+bbbcccbbacabccbbbacb
+aaccaaaaccbcccbaabcbccbbbaabbacbcbcccbaaaabacabb
+bcbbbabcaaaabcccbbabbbacaacaccaaababcbccccbabaacbcabbaab
+bacbabbcbbbabcccaabcaabcbaabcccbccbcbbbacccbcacaabca
+aaccbbcbbacccacbacbabcaaacccaaabbaacbcbabccccbcacaaaaabbacbabbcaaccabbbccbbaccbcacbaccaabcaabbabccaacbcbabccc
+abbbacbcbbacabcbbacacccbccbbccbbabbbabaacaabbbbabcacccbcbaccacaaacbbcacacccaaacacbabcacabcbaaabacbaa
+bbccccacabbbabbaccacbccbccbbbccacabbacbcaacbcbaacbaccaabbbcaaccbcbbccbbb
+bcbabcbccaa
+cbaaaccaacbbcaccbbbbbcacbabbabaaabbacaabccccacacabcbabbacaccacacacaaabcbbbacaaccccbcaab
+cabaacbbacaaaaabcbaabccccacaccbcbb
+cbcccccbaccbcccacbacbbbccbbbcacbcaabaabaacccacbbcccabbacbaacbac
+cbbaaccabaccaacbbacccbcbbabcaaabcaccbaaa
+accabbaccaccaababaccbcbabbcccbaccccbcaaabaccccaabbaaaaacaaabcaca
+cbaabacbaabbbbcacbabccbacbcbcababaccacaabcbbbaabacaaaaaaccacabcccababbcbcbabcaaabcabaaabaaccbaccaababbcbababb
+bcbaacabbbbacaacb
+bccccccccbacabcababaaccacab
+abaccccbccbbccacabcbcacbaacbacaaabbbbcccaaccbcaaccabbbcbccbbccbababcbbbccccccac
+bccbabccacacbbacbbbabbcabcbbccccbaacacbbcabaaaba
+abbcabcbbabccaacccacbb
+bbbcccbbcabbcaaabaabcbcbbabc
+cccaaaaacacbcabbaabbaabccbacacbacacbcbcabbcacbccccabcbcccacaccabccccbcacaaabcaac
+abbbaacbcbcbaababcaaaaaabaaccaacbaababcacbacaacccaccbbcbabbabbbacabacbabacacabbcacacbaba
+abcaaaccbccaabbccbbcccbaaacbacaabcccccaaaabccccaabbaabcbbacababcbbccabababaabcabbcacbabb
+cbbabcabbacacccabcacbbabcacbbcbbcbcbababbbaabcabbcbbaaa
+bcbbccbaacbccabbbb
+cbcabccbbbababbcbaaccbaccacbcbbbcaaaaa
+abaabbccbbaabaacbbacbbcacabaacbbaccbaabaaacbcccabaccaaaccbbbaabbaabcbcbabbabbaccbcabcbcbcbabacbbabbbcccbbccba
+bacaccccaaaccbaaacacbbcbbabacccbcaccbbaabcabcbbbcca
+babccbbccbccabcabaaabcacacbacaacbaaccbc
+abaccbacbbbaabbacbbabbcaabcaaaabccaccaaaabbbccbcbbacababaaaacbabcbbabcacaabb
+accbbbabbaba
+bbbbacbcaacbccacbabcbabccaaccbaaccbabcabababbbcccaaccbbaaaacabbab
+abcabcacbccbaabbbcbcbcccbcacaccabccbccccaaccab
+abbcacbbbbacaaacaaacaaaaaaacacccccbacbbcbaabccbaabcbbccaacaaacbacb
+abbcccbaacaccacacaaacbcbbcacbcacccbccacacccabbcacbbbbbbabcaccbbcacaccabbaccccabbcaacccccbcbcaaaaaaccb
+bbcccbbbaabbaaaabcacbbcacaacababaaccacbbcaababbacbaacbccabcacbaccaccbaaccccacacccab
+cbcccbbcbccbbcbacbcbcbbcaacaaa
+acaccaccabcababacbcaababbbbbccbcabccbbabcbcbabbbbbcabaababcaab
+cabcabbabbcbcbbbbbcaaabacabbbccaccbccbccbbcbbbbabcaaacccccaaabcccacbbbbabbbbcbbbcbccacbcbccccaccacabaaccc
+cbccccbaccaabbacbccacbbabbcabacbacababbbaabbabccabcaabbccaabbacbbcabcccbabccaccbacb
+caccbcbccacccabcaaabccaabaaaabcbccabbcba
+aabcacacbbbcbacacbaabccabbababbaacbb
+bccbabacababccabbbcbcbcbaabaabaccccbbcbbacabaaaccabacbbcaccbcacaababbcbaaacccbcbcabbccbac
+abcabcbbacbcbacaacacccbcbbccbabcabbbccccabaacbbabaccacaabccbacbbbacabcbabcccbabcaaaccbcac
+bccbaaaacccabaaabbacbaababcccbaccaacbaccacabaaabaabbaba
+abcabcaaccbcbccababbbbbab
+cccabbcbbccbabcccbaaaabbaababbaaaabacbaabcbbbcbcabcacaba
+abcbabbcabbbbaabaccaabbcbaaacbacbcaaaabbcbbaaabaaaabbbaccbbcacbaacabbacbaaccbcabacbbaaaccbcbbabbbbacacacab
+acbbaccabcbbcacaaccbcaabaacbcccacaacacbbaccbaa
+cccbccaccccaabbcabbaaccacbccaacabbcccbcbbaacbcbabbbcccacccbaacbbbcaaacbbacccaaacaabbacccabacbacbccccc
+cabbcbabbcbcccaaabaccbaccbbcbaababbccbbaa
+cabbcacaccccbccccbcbabaabccbcaabaacaccacabcabcbbaaabcbccbbacbcacaac
+caaaccbbbbbbcc
+bacaacbbbaaacabbbacaacbbbbbbbc
+babcabbaacbbbccbcabacacbc
+cccacbacabcccaabcbbbcccabcbbcaacbbab
+bbabaacaaabcaaaabbabcbabbaabcabcaccbaccbcaaacbcab
+bccaabacaccbccccbcabacabbaaccccbaccbaabacacabccbaacacaccbbcbcaccccaaaacbcccacababbacbabcbcacaaacbaaa
+acbbabbbbbabcbabcccccbacccacabcaba
+abbbccabaabbbcabcba
+acbbccababcbcbbacabcababbaaaaaccbccbaaccbbaacbccbcbcacaabbccaacbaaccbababac
+aabbcbbbcbaaaccaaccbbccacababcccacbcbbbacbbbbacacbccbbaabccaaaaaaacabccbaaaaccacccbccccabbbbccabaccabcabb
+cbaababaccbcacaacaaccbaaacbacabaac
+acaacacbacbaabbacaaccacbabcccbcaccacbccaabbbbabbaccbbcbaabaabaaabbabccacabbbbacaaaaabaccbacbcaccbcbaca
+caacccababcabcaaaaaaa
+acabbcaacccabaaabaaaabb
+baaccaacccbbccaaccbcccaaccbccabcacaccaccbbbabaabccccabccababb
+accccccacabbccacbbbcaaaaabababbbbaabccaccccbcabbabbbcbcbacaaaacbccbacaaabaccbccbbccabbbbccacacbbacbbbccaccbb
+aabaacaabcbcacccababcaaac
+cacbbccbacababbbcbbcaaabcaaccabbcabacaccabcbacbbbbcabccacacaabbaabbbcacbbbacccbcbbaabbabbaaaabccbcbaabbcbcbc
+acabbaacccacbcaaccaaccccaacaccacacbbcacacaaccbcbacbccccbbcbbbbccabaaaabaacbabcacacaacccaabacbcbaacaccabbcacba
+bacabbbcccabaacbbabcbcbbbacabcbabccaaacacbabcab
+accbcaaaccabbcccbabbaccabbbacbacccacacccbbbcaabcbcabbcccaaaabccaccbaa
+bbabbbabababcbabbcbaacbccabbaacabbaabaaccbacaacabcacaccbbaaccacabaabacbaaacbab
+aaacaaacbcbcbbacaabcbcbbbcbbcacabcbcbcacabaaacbcabcbabbb
+cbcaaabcbaaabacbbcacaacbcccbcbacaaacbcbbbcabcacbababcccbaccc
+caacbcbacbabbabbbccabaacacabcbacbbccccbaacbcbccb
+abaccacacacccaabac
+aacacccacaabbcbbbcbbaabcabbccbbbccbbacbababbcbcaaaaabcbcacbccbcaaacaaabcccbabcaaabcbbcbcbcab
+cbaaccabaaaaccbabaaccbcbcbccbcabcbcabb
+abbacaaaababbacc
+acabbcbabbbccacacccacaabbabaccbcbacaabbcabcbabcaccaacccaa
+cbaaaaaaccabbbb
+ccccbaabbbbabaaaabbbccaaccacbaab
+cabbacabbabaaacbbcbbabbcbcbcbccbcbaabbbbbbacb
+bacccbbbabbccaaabbccccbbbacbbaaaaacbbccaccbcbbcccacacccbbaabacbcaaabaacbbcababcbcacabcbacbca
+babcbbcbaccbcaaacbbcbcaacbb
+cccbccabacaccbbcaccccaaaaabcaabbbcccbcaaaabacaaabbcacbab
+acacbaccbabbbabbcbcaacbcaabccccbabbbbbaccbaabcbabccabbbacbcacbaababccbaa
+cccccabbbbcaabbaccbbccbbacacbcbcbbcbbacbbaaabcaaccbccbbacbccbcbbaaacac
+cacbaabbacbbabcabcaccbaacb
+abbbcbbbbca
+ccbabaaccccbbbcaacbaacbbabccccbbcaabcbbcccacaaaabacbbababbabcbabcaac
+acaababcabbbababcaabcccbbbabcabaabbbccbcbcabcaaacaaabaabacaaba
+accaabbbaababccbbbacaaabcbbcbcaaabbabb
+bacbbbcabbabaaccbaccccbaacbbbabcbaaaabbaabacbcccbbcacccbcbcbcaaacabaccbabbabbc
+aaccbcabcccbaabbccbabaabaacca
+abaaaccbccccccaababcacacbcabcccbbccaaababbcbcabcccbcabcbacacccbbcaaaccabacabccaabbbabbbbb
+babaaabaccabaacbbaabccaaababccbaaa
+aaaabbabcccca
+cbbcbcbbacabcbbabcaabbcbaccbabacbabaacabcbbbcccbcbaccccbbccabacbbacccbbbcaccababcbcacbacacacccccbacbabac
+ccbaaaacabbaabbccacaccbcbcaaaccabccbccbbccbabcaabcababbabacacacbbabbcbcbbcccabca
+cabbacccbacbbccbbcacacacaaacccbaaaacccacbcaacbacbcc
+ccbaaabbcccaacbccaabbccbcabacabcbacbacbbacbbabbaccbaaccaaaaabcbaccbccaccbcbcacaaccccaabbcaab
+aaababcbbbbcbbcbaaabbabcbaaabbbbbaccbaccbabcbbbaacabbabbbbcaabbcabcbabaaacaaaaaaaababaabcccbccccaaaccbcc
+279 186
+aabbbbaabbabbabababbbaaaaaabbbababbaabbaaaaabbbababbaabaababaaaabaaaabaabbaabbbaaaabbaabbabaaabababaa
+abaaabbbbbababbabaabaabbbbbabababaaabbbabbbabbbbbaabbabbaabbaabbabbbababaabaabbaaaabaabbbbaaabbba
+baababbbbbaaaabaabababbbbbbbaaabaabaababbaabbbabbbbbbabbabaaaa
+bbbabaabbbababbbbaabbbbaabba
+babaaabbbbbbbbbbbbabbbbaabbabbaabababbbabababbbbaaaaaaababbaaaaabbaaabbaabab
+babbbbbbaba
+aabaabbbbbaabbaaaababaabbbabbaaaaaaabbaababbabbaaabaaabbbbbabaaaaaabbb
+aabbabaaabbbbaaaabbbaaaababbaaaabaaaabbaaabaabbbbbb
+abababaabbaaabbaabbbabbbbbbababbaabaaaabbbbbababaaaababbbabbbaaaabbabaaabababbaaaabbbbaabaabbaabbbaaa
+baababbaabaaaaabaaaabaabbabbaaabbbaabbabaababbaab
+aababbabababbaaaaaaaabab
+bbabaabaabaabbaabbbaabbbabaabbaaabaabaabbabaaaaabbbaababbaabababaabbabbbaaaab
+baaaaaaaabbbbbaabbbaabaaaaaabababbbababbbbab
+baababaabbbbaaabaabbabbaabab
+abbaabbbbbabaabbbbabaabaaabbaaaababbbabbaaaaaaabababbaaaabaaaaabbaababaaabbaababbbaaabbbabaaabb
+abbbbabbaaaabbbabbbbbabbabbabaaabaabbbbaaababaaabbaaaabaabbababbaababaaaabababbbbabbbbbaaabaaaabab
+baabbaaaabbababbbbabbaaaaabaaabaaaabbbaabbbbbaabbabaaaaababbabbbaaabaaaabbaaabab
+baabbabaaabbbaaabbabbabbbbabbbbbbbaababbbbaabababbabbbaaaaaabbababbabbababbbaabbbaabaabaabbaababbb
+bbaaaabbabbbabaabbaabbbbabaaaabaababaababbbbbabbbaabbbbababbabaaaababbababbabaabaaaababbbbbbbabbbba
+abaabababbbaababbabbbaaabababaababaabbbbbaababaaabbaababbabbbaaaaaaabbabababbbbbbaabbabbaaababa
+babbbbaaabaabbabaababaabbbaababaabbbbaaaaba
+aaabbabbbbabbaababbaabaabbbaababbabbbabaaaaaaaababbaabaabbaaaaaababaaaaaaaabbabb
+babaaaaaabab
+bbbbabbbbabbabaaaababbabbbbabaaaaaaaaaaabbbbbabaaabaabbaabbabbaabaaabaabbaabababbbabaaaaaababbab
+aabbbbbaabbaaabb
+babaaabaababb
+abaaaaabababbbbbabbaaabbaabbbabbabbabbbabbabbaaaaaba
+baabaaababaaaabbbbaaabbbaabbabbaaabbabbabbabbaaaabbabaaabaabbbbabbaaaababababbbbaaabbabab
+babbabaabbbaababaaabbbabbbbbaabbbbabbaabaabbbabbabbab
+bbaabaabbaaabaabbabababaaaaabbbbbbababbaabbab
+baaabbbbababbaaab
+abbbaaaabbbbabbaabababbbabbbbbbaabbabbbbb
+bbaabbabbbbaaaabbabaaabbbaabbbaaaaaababaaabbabbaaaabbbbbaabbbbababbbbbbabbaaabababababbabaaaabbaaaaaab
+abbbbabbabaaababaaaaabbabbaabbbbbbb
+aaaaaabbaaaaaababbbabbabababaaababbbaababbabbabbbaabbbaabbabababbbbbbba
+bbbbbbaabbabbbabbbabbbbbbbaabbababbbbbbbbabaabbabaaabbaaabbababaaaabbaabbababbbbbbabababbabbba
+bbabbbaaaaabbbbbbaabbababaabbaaaaabbbabbababbbbabbaaaabbaabbabbaabbab
+bbbbbaabbababaaababb
+ababbbaaababaabbbbba
+ababaabbbbabbbaaababbabbbaaaababbabbaabbaabbbbaaaaababbaaabbbbbbbbababbbaabaaaabbbaaaabaabababbbaaaabaaaabb
+abbbabababaaabbabbbabaaabaaabbabbaaaaaabbaabaaabaaabaaabababbababbbbaabbaabababaaaba
+abaabbabbbbaaaabbbbbaaaabbabaabbaaaabbabbbaaaabaaab
+abababbabba
+aaabbbaababbaaaabbabbbabaaababababbbabbbaaaabbbbbbbbabbaabbbbababbbaa
+babbaaaababaabbbbbaaaababa
+bbbbabbbbbbbbbabbbaabbabaaaabbbbaaabbbbabbaaaabaaabbbababbbaaabbbaaaabaabbabaabbbbbbababbabbab
+aaababaaaaabbaabaababaa
+ababbaabbaaabababaabaaabaaaabbaababaabaabbbbababbbbabbabbbabbaaaabbbbbaabaabbabbabbaabbaaaaaaaaaabaabba
+abbabbbaababaabbaabaabbababbabbababbabbaababbaaaabbaabaababbaabaaabbaaaabbabbbabaabababaaabaaaababbaabaaaaaab
+abbaabbbaabbabbaaabbbaaabbabaaaaabbbbabbabbbaaaaabbaabaaaaababbbbbabbaaabbbbaaababababbabbbbab
+aabaabbabbabaabbabbbbbbabaababaaaababbbbbbaaabbaabababbbbabababaabbbbb
+bbbabbbbbaabbaabaababbbaabbabbaaabbaabbabbbaaaaaabbbbbbaa
+aabbbaaabbbbbbabbbaaaaaabbbaababbbbaaaaaabaabaaaaaabababbabbaaabaabbaaaaaabababaaab
+bbbaabbbbabaa
+baababbbaabbbbbaababbba
+abaaabbabbaabbaaabbbbabbbaaaabaaa
+aaaaaaaaaaabbbabbbaaabaaaaaababbbababababababaaabaaabbaabaababbbba
+abbbabbabaaaaabbaaabaaabbbaabbaabbabbbababbaaaaabbbabbbbabaaaaabbabbbaaaaabbaabbbbbabaaaabaaaabbbb
+baabbabababbb
+abaabaaaaaaabbbabbbbbbabababaaaaabbbbabbaaaaaaabaaabbbab
+ababbbbababbbababaababbbababababaaababaabbbbaaaaaaaab
+bbbabbbbaaababbbabbabbaabaaaaabbbbbbbabaaaaaaaabbbbabaababaaaaababababb
+babbbbaabababaaaaaabaabbaaabb
+abbaabaabbaaaaabbabbbbbabbbbaaaaaababbababbaabbabaaabababb
+aabababaabbababbaabbbbaabbbaababbaabaaaabaaaaaabaabaaababbaaabaaababbabbabaabbbbabaabaaaabbbababbabbabba
+bbaaabaababaabaa
+aaabbabbaabaaabbaabbaababaabbbbbbabaaabaaabbaababaabbaababba
+baaabaabaaaaaaabaaaaababbaaaaaababaababbbabbaaabbaababbbabbbaabbaab
+baabbbbbaaabbaabaaaaabbaabaaaaababbbbbbbbbababb
+aaaaabbbbbaaabaaaabbbbbab
+aaaabababbbbbabaabaaab
+abaaabababbbabbbbbaabbbabbabbabbbbabbbabaaaaaaaaaaaabbabaaaaaabaabb
+aaaababaaabbbabbabbabbb
+bbbaaabbbbabbaabbbbbbabaaaaaabbaabbbbaababbaaababaababbbabababaabababbabaababbaaababa
+bbabaababaaabba
+babababbbbbabaaaaababbbaaabababbabaaaaabaaababaaaab
+abaaabbabbbabbabbbababaaabbbbaabbaab
+aaabbbbbbbbbaababbaabbaabaabbbbaabaaababbbbbbabaabaabbaabbaabaaaaaaaabbabbbbaabbbbbaaabbaabababbbabbbba
+abbaaabaaaaaabababbbbabaaabbab
+aaaabaaaabbaaabbaaaabbabaabaabaaaabbabbaababbaabaabbbbbbbbababba
+bbbaabaababaaabbabbaaab
+aaaababababaabbbaaaaaababaababababbbbaaabaabaaaaabbabbaabbbbbbabbbaaa
+bbbabbaaabbbababaaaaaaaab
+bbabbaabaababaaaabaabbabaababbaabaabaaaabaaaaaabaaabbaabbbbaabbabbaaaabbbaabaabaaaaababbbbabbbbaaaabaaaaa
+aaabababbbabbbbaaabbaaababbbbaabaabbbbbbbbbbabbabbbabbbbaaabbabaabbaaba
+bbabaaabbabaaabbbaaabaaabbabaaaaabaaabaaaaaaabbbaaaabbbbbabaabbbbabaaa
+bbaabbabaaaabababaababbbbbbaaaaaababaabbaabaaabab
+bbbaaaabbbabbaaaababbbbababbbbaaaaaaaababbbbaabaabbbabaaaaaabbbabbbbabbaabbabbabbba
+babbababaaaabbaaaa
+bbaaaaabbaaabaababaaaababbbbababbbaaabaabaabaabbbbbaaaaaabbbbabaabaaaabaaaaaab
+baaaaaabbabaaa
+aaabababaaabababbbbaaaabbba
+abbbaabbabbbabaaabbbbbababaabbabbbaabaaabbbabbbbaabbabbabbbbabbbbaabbabbbabbbabaaaaabaaabaabbbaaaaaabbbbbaaaa
+aabbbbabbbbabbbbabaabbaabaaabaaabbbbabbabbabbabbbabbabaaaabbaaabbbaaaabbbababaabaaabaaabaaaaaabaabbaaabbbb
+aabaababaabbaaa
+aaaabaababbabaaabaabaaabaabbbbabba
+baabababaaababaabbaaabbbbaabbbabbaaaabaaaaabbaababbbaabbbbbbaaaaabbbbaabbaaabbaaabbaaabbbbaaabbbabbaaaabababb
+baaaaaaabbabbbabbbbabbaa
+bbabbbabbaaaabbbababbabaaababbbbbaba
+baaaababbaabbabaaaaaaaabbaaabbbbbaaaabbabababaaaaabbabbbbabbbaaabbabbbabaaaabaaaaaaabbbaabbbbbbbabba
+bbbaaabaabab
+bbbbababbbaabaaababbabbaabbabaaabbaabbbbaaabababaabaababbabbabbaabbbaababaaaaaababbabaab
+bbabbaaaaababaabbabbababbaaabababbaaabaaabaaaabaabaabbabbaababbbbabbaabbabab
+bbbbabbbbaabbbababbaaaabbaaabbbababbbbaaabbabbaabbbbaaababaabbaabbbabbaaabbbabbbb
+aaababbbbababbbabbbbaabbbaaaaaaaaabbbbabaaaaaabaabbaaabbbababaabbaabbabaa
+baaaaaaaaabbaaaaabaaaababbaabbabaabbaaaaabbbbbabbbbabaaaabbabbabbabbabbabababbbabababbaaaaabbabba
+aabaaaaababbbbbaaabababbabbbabaabbaabbaaaaa
+aabaaabbbbababaaaaababbbbbbbbbbaabababbabababbbaaabbbaaabaabbaaaaabbabbbababbbbabababbabbbbbbbaaababbbbbbab
+babbaabbbbbbbaaaababaaabaabbaabbababaabaaabbaabaaa
+babbababaaabbabbababaaaabababbbbaabbaabbabbaabbaaaaabaaabaaababbababaabbaabba
+aabbaabbaabababaaaabbabbbba
+abababbaabaaaabbbaabbbabbabbabbaaabbbbbbaabbbaabbbbaabbabbabaabababaabbbbabbbabbbaabbabbaabbaababaabbb
+abaabaababbbbbbbbaabbbaaababaab
+aaaabbababbbaabbabaabbbabaabbaababbbbbaaababaaabaabaabbbabbabbbbbbabaaabbabbaaaababaabbaaa
+baababbbbaabbbabbaaaaaabbbbaaaaabbaababaabbbaaaaabaaaaaabaaabbbababbbb
+aabbaababbabababbb
+aabbabbbbaaaabbabababaabbbbabbbbaaaaabbaaabbbbaaabbbabbabbabbbbbaabaabbbbaaaabbbabababa
+abababbbaaa
+abaaaabababbaaaaabbba
+abbaabbbaababbaaabbaababbbabaaaaaaaabaaabbababbabababaaaabaabbbabbbbaabbbbbaaaabbbbaaabbbbaaaaaaa
+babbbbababbaabbabbabbbbabaabaabaabbbaabbbbaabbabaabaaaababbbaa
+babaaababbbaaaabaababaaaabbabaabbaaaababbbbabbabaabbbbbbbabbbaabbaaabbbbbabbbaaaa
+abaaaababbbabbaabb
+abbabbabbabbbaabbbaabbababbbbb
+bbaabbabbababbbbbbaabbabbababbabbabbaaabbabbbaaaa
+aaaaabaaaaaabbaabaaabaab
+aabaabbabbaabaaabbbabaababaabbaaaabaab
+bbabababaaabaabaaaaabbbaabbaabbbabaaabbbbabbbbabbabaabbbbbaabbbbbaaabaabaabbaa
+bbaaabbaaaababaabbbaaabbabaabbbabbaabbabbbbaaabaabbbaaabbbbbbaabbbbababbabababbbaaabbaabbbab
+abbaabbabaabaaababaaabaabaaaaabaabbbabbaabbbbbbabaabbbbabaaaababbbbbbaaaabaaabbbabaaaabbbab
+babaabaaaabbbbbbababaaaabbaabaabbaaaaaaaabbabbbbbabbaabaabaaaababbababaaaaabaaabaabbabbababbabbbbba
+ababbabbabbabababbbaabbaaababbbabbaaaaaaabbaabbbbaabaaaaba
+aabababbbabbabaababbbabbaaa
+baabaabaababaabbbbaaabbbbb
+abbbbabbaaaaabaaabaabaabbbb
+abbbabaaababaabababbbbabbbaabaabaaaabbbabaaababbbaabababbababaabbbbbbbbab
+babbaaaabbababbbabbbabbabbaaaaaabaabbaabbbaaaabbbaaaabbabbbababbaabaaaabbbaabaaa
+bbaababaaaabbbbaabbbaaaabaaab
+baaaabbbbabbbabbbbaabababbabababaaabaaaaabaaaababbbbabbaaaaabbaaba
+aaabaabaabaaaaaaabbaaabaabbbabbaabababaaabaabaabaaaaabbabbbbbabaaaabbbbbaaaaaaaabbbabbbbababbbaabbaabbaabaaa
+ababbaaabbaaabbaaaabbbbbabaaaaabababbbbbabaabaaabbb
+aabbbaabbabbbbbabbabababaabbababaabababaaaaababbababaabbaabaababaabababbabb
+baaabbbabaaaaaababbbbaabbbaabaaabaabaabbaaabbbaaaabbbbaabaabaaabbaaabbabbb
+aabbaababbbabbbbbbaaaabbbabaaabbaaaaabaaabbbbaabbbbaaaaaababbbaabbbbabababaaab
+abaaaabaabbbabbbababbbaaaababbbabaabbaabbbbababaaabbabbaabbaabbbbbbbbabaabbaabaaabababbaababbbaaaaabab
+baabbaaaaaabbbabaababbaaabaabba
+aabbbaabbbbbababaabbaaaaaabbaabbabababbbaabaaabaabbaabaabaaabaaabaaaabbbabaabababaaabaabbabbbaabb
+bbbbabbabaaaaaaaaabaaabbabaabaaaabaabbabaabbabaabbabbabbbabbaaabaaabbbab
+aaabbaabaaabbbaaabbaababab
+bbabbaabababaaabbbbaaab
+aaabaababbbaaabbaababbaabaaba
+abaaaabbbbabbabbaabaababaaaababaaabaaaaa
+ababababbaaaabbaaabbaabababbbbbbababbabaa
+abaaaabaabababaabaabaabbbaababbaaaaaaabbbaaabbababbaabbbaabbbbabbaaabbbabababaababbbabbabb
+baabaaababaaababbbbaabbbbababbababababababaaaabbabbbbbb
+abbaabaabbabbabaaaa
+bbbaabbbaaaaaaabaababbaaaaaabbbbbabbbbbbababbbbababaaabaaabbbbaaaababbbbbabababbabaaaaabbb
+ababbabababaabbaabbaabaaabbaaabbbabaabb
+abaabbbbabaabbbbaabaabbbaaaa
+aaaabaabababbbababababbbaababbbbbaababbbababbaababbbbaabbaaaabbbbbbbabbbaaaaabbaababbbabba
+babaaababbbbababaaaababbaaabababbabaaababaa
+bbbbabaabbbbbabbbbbabbaabbabaaaabbbbbaaaaaaabbbaaabbbbbaabaabaaabbbbbbababaababbaabbaabbbb
+abababbaabbbbaaaabbbabbbaababbbbbbbbababbbbbbaabbbaabaabbbabaab
+bbbbbabaaababaaaaababbabbbabababababbbbbbbabbabbaabbabbbbabababbbaaa
+aababaaaaababbabaaabaaabaabbbabbbbbaaabbbaabb
+abaaababbabbbaabaabaaabbababbaaabaaaababaaababbabbabaabbaababaabbbbabbbbababbaaabbabb
+babbbabbbbbabbabbaaabaaabaabaaaaabababaabbbaabbbaaabbbb
+ababbabaabbaabbabbaaaabaaaaaababbaaababaaababbabbbbbbaababbabbbababbaaaaabbaababaababbbaaababbabbaabbbaa
+aabaaaababaaabbbbabbaabbaaaaabbbbbbbbabaaabaaaaaabbabbaaabaabaabbabaaaaaaabbabbbaaaabaabababbabbba
+abaabaababb
+aaaababababaabbaaabba
+bbbbbabbbaaaaaaaaaabaaaaaabbbabbaabbaaababbbababbbbaabbaabaababaabaabbabababbbabaabba
+abaabbbaaaaaaaabbaabaababaabaaabbbabaabbbbbbaaaabbaabbbaababaaaabababbbabbbbababaabaaba
+baaabababaaaaaababbabaabbabbaaaabbbbabbbabbabaabaabbbaaaabbbabababaaabbbbabababbabbaaabbabbaabbabaabababab
+babaabaabbabbbbabbbbaaabbaabaabaaaaaababaaaabbbaabababbaabaabb
+abbbabbaabbbaaababbbabbbaabbbaaabbaabbbbaabbbababbbaababbabbb
+bbabaaaaabbaaaaaabaaabbabbbaabbbbaabaabbabbbbbabbaabbabbbbababaaabbbabbbbbbabbbabaaaaaababa
+ababaaaababbababbabaabaabaaaaaabbabbbbbbaabaaabb
+bbabbaaababbaaabbbbabaaaaababbaabbabbaaabbbbbbabaabbbabbaaaabbaabaaabaabbababaaaabbabbaaabbaaaaaabaabbab
+abbbbabbaababbabbbabbbabbbaaaaabbbbabbbbbaababaababaaabbababbabbaabbabaabbb
+baaabbabbaaaaaaabbaaabababaaabbb
+babaababababaaabaaaaaabababbaababaaaaaaababbbabbababbaaaaabbbaaaabbaabbbabaaababbabbbabbab
+bbabbbababbaabbabaababbaabaaaabbaaababbaabaabababaaa
+bbbabaaaaaaabbbabababaabaaaaaabbabbaabbbbabbaaabbbaaaabaaba
+bbabbababbaaaaaabaaabbbaaabbbbababbbaaaabababaababaaabbababaaaaabbbbaabbaaaab
+abbabaabbba
+baaabaaababababbbaabaaaababababaaabbaabbaaaaabbbabbababaaaabbaabaabbaaaababaaab
+bbaaaabbaaaabababbbbbbabbabbaaababaababbbbbababbabababbabbaaabbaabbbbbbababbaabbbbababb
+baabaaaaaababaaaababaabababaaaaaabaaabbbbbbabbbbabbaaabaaaabba
+bbbabbababababaaaababababbabbbaa
+abbbaabaaa
+abbabaaabbbababaaaabbaaabbaaabbbaababbaabaaabaaa
+baaaaaaabbabbbbabbabbbabaaabaaababbbaaaaaaaabbbaaabbbbaaababbbaabbbababaabaabaa
+abaabbbbabaaaabaabbaabbaabbbaababbabbabbabbbaabbaabaaaabaababbabaaababbabbbabbaaaababbab
+ababbabaabbbabbbababbabaaabbabababbbbbbabbabaaabbabbabaaabbaaabababaabbab
+abbabababaaaaabaaaaaaabbaabbabbaababaaaaabbbbbababababaaaabbbbabbbbbbabababbbaabbaababababbaaaabbaabaaba
+abbabbababaabbbbbabaabbbbababaababbabbaaabbbaaaaaaaab
+baabaababaa
+aaabbabbabbbabbbaaabaaababbbabaaaaaabbbbbbabaaabbbbbbbbbbbaaaababbaaaaa
+abaabaaaaababbbaaaabbbaabbbaabbababbababbbabaaabbbaaaaaabbbbbbabaababbbbbaababaaaaaa
+abababbaababaaaabbababaabaaaabaabbaabbbbababbbb
+aaabbaabaabbaaaabbbaabaaaabbbbaaaabaaabaababbababbaababaaaabaabaabbababaabbaabbbbabababbbabaabbbaabaababab
+baaababbababbabababaababaabbaaaababababaaaabaaabbbbaabbabbbaaaaabababaaaaabaabababbabbbbbabaabbab
+aabbaaaabbaaaa
+baabbaabbbabbaaaaa
+abaaaabbababaabbaaabaababbbabaaaabaaabababaaabbbbababaaaabaabaabbbbaaabbbbbbbaaabbbaabbaaabaaaabbaaaababbba
+aaababbaabbaaababbbaaabbaabaabaaabbaabbaaabbbaaabbbbababbabbaaabaabaaabaababaabbabbbabaaaaaababababbaaaaaba
+bbabaababbaabaaabbaabbabababbabababbbabaabbaaaaa
+babbbbbbabbbbaaabbaababbaababaabababaabbabbababbbaaaba
+bbbbaabbbaabaaabaababaabbaabbaaabbbbabaaabbbaaababa
+ababaaaabaaaaabbbbaaaabbbaabbbbbaaabbabbbbaaabaabaaabaabaaabbbbbaabbabbbaabaaaaababbbbbbbbbaaaaababaaabba
+abaaaabbabbabaababaabaaaaababababbbabbabbbbaa
+bbaaaabbbababaabababbaabbaabbbabab
+aabaababbabaababbbaabaabaababbaaababbbabababbbbabababbabababbaabbababaaa
+babaaaaaaaaabbaabaaababaaababbabaaabaababb
+bbbaabbbbbbaababababbabbabaaababbaaabaabbaaaaaaabbbabaaabbabbaabbbbabbabaabaabbaababaaabbabababaaab
+bbaaabbbbbabbabaaabaaabbbbaabaab
+aaabbabbbaabaaabaaaaabaabaabbabbabbbbbaaababaabaabbabaaabaaaaaababbabbbaa
+aaaabababbbabaabaabbbbaababaaaabaabbbabbabbaabaababbbabaaabbaaaabbababbbaaaaaabaababaaaabaaaababaab
+bbbabbbabaaabaabbabaabbbbaaaabaababbabbbabaabbbbbbbabbbabaabba
+babaabbbababaaabbbabbbaababbabaabbabaaaaaaabaabbabba
+bbbbabbaba
+aababbabaaaabbbbababaaababababababbbabbaab
+bbaabbbbbabababaabbbbaaaabbabbbabbabbbaabaabbbbabbaabbbbbbbbbbabbbababbabbbbaabaaabbaab
+aabbbabaabababbbaba
+bbabaabbabbaabbabbbbabbaaabaaaabbbaaabaaaaabbbabbbbbabbaabbbba
+abbabbaabaaaaabbbbaabbbbbbbaabaaaaaaaababbaabbaabbaaabaaabababbbbbaabaabbabbaaabbbaabaaab
+abbaabbbaaaaa
+aaaaaababbbababbbabaabaababbaabbaabaaaaaaabaaababaabaabaabbabbbbabaabaabbbaabbbba
+bbabbbaabaabaabbbbbabaaaabaabaaaabaabbbbbbbbbabb
+bababbabaabba
+abaabbbaaabbaababaaababbaaabababaababbaab
+baabbbbabaabbaaababbbbbbbbbaaababbabaabbaaabbbbbbabaaabaabaabaaabbbbbabaaba
+bababaabbaabbabbbbaababbbba
+aabbbbbaaaaaaabbababbbbbbabbbbbaaaaaababbaabbaaabaaaababaabaaaaaaaaaababbaabbbabaabbabaaabbbabaaaa
+aaaaababababaaaabababbaaaaabbbbaaaaaababbaaaabbbbbbaa
+ababbaabbabbaabbbbbbaabbaaba
+bbabaaaababbbbaaaabaaabbbbbbbababbabababbbaaaabaabababaaab
+bbabaabababaababbaaa
+bbaaabaabbabbbbbbabaabaaabaababb
+aaababbabb
+ababaababbbababaaabbbaaabaaababbbbbabaababbbbabaaaababaabbbbbbbababaabba
+babbbbbababbabbaabbbbbaaaabaaaaabbbaababaaaaaabaab
+babbababbbaaabbbaababbaabaaaaabaabbbbabaaabbabababaabbaaaaabaaabaabbbbbbaaaaabaabaababbbbbaabbababbbbba
+abaabaaaababaabaaaaaabaaaaabbaaaaaab
+abaabbabbbbaabbababbaaababbaaabababbaabbbbbbbaaaabbaabaababbbbbaabaaabababa
+baaabbaaaabaabbababbbabaaabbaaabbbababbaabaaa
+aabbabbabbabbbbbaaabbababbbaaababaababaabba
+aabaaabbaaaabaabababaaabbabbaaaaaabbbabbbbabbaaabbabbbbbbbbbababbabbaaaaaabbbaaaaaa
+aabbababbbbaaababbbbbbbaaabbaaabbabbaababbbbbababbbaabaaababbbbbaabbbabaabababbbbaaaaababa
+aaababbaabbaabbbbbbaaababbbbbbabaabaababbaabbbabaabaabbaaaabbbbabaababbbaaaabbab
+baaabbbbbbabbaabbbbbbaaabaaababaaabbbbbabbbbbabbbbbbab
+abaaaaaaabababbbbabaaaaaaaaaba
+aabbaaabaabbbababbaaaaabbababaabbabbabbaaaababbabbabbbbbbbba
+abbaabbaaaaaaaabbbbbaababaabbaaaba
+aabaaabbabbabaabbbababbaabbaaaabaabbabaababbbbabaaabaabaaabbaaba
+babbbababbaabaababa
+bbaabbabbabbbababbababaaabaaababbabaaaab
+abaabbbbbaabaaabbaabbbbbbababbb
+bbaaabaaaaabaaaabaabaabbaaabbbaba
+babbbaaaabbabaabaabbbabbabaabaabaaababababbbba
+abbbaaaaaaabababbbbbbbbbbbbbbababaabaaaaaabbbabaabaababaabbaba
+baaababbabbbabbaba
+bbaaabbabbbbaabbbaaababbbabbaaabbbbbabbaabaaababaaaaababbaaaaaaabababbbabbabaabbaaaabbba
+aabbbbabbbabbabbbbaaabbaaabbaaaaabbbbabaabbabbabaabbaabbaaaababbbbaaaaaabababaabbabbabbab
+bbbaabbbbbbabbaabbbbbabbabbbabbbababbbaaaaaaabbbbbabaababaaaaaaabbbabbaaaabababbbabbba
+bbaababaaaabaaaabaaaaaabbabbaabbbabbabbabbaaabbababbbab
+abaababaaaababbabbababaaabbb
+bbabbaabaaaaaaabaabbaabbabbbabbaa
+aababaaaabbababa
+baabaabbabbabaabababbbaaaababa
+bbbbabbbbaaabaababaaabbbbbababababbaabbbaababbbbabbababbbaaaaaaaaabab
+aaaaababbaababaababbbbabbbaabbbbabbbbbaabbbababaaaabbababaaaabbaaabaabbbbabbabbbbabbabbaab
+aaaabaaabbaaaaabbbaaaaaaaababbbaaabaabaa
+bbbbaaaabbbbabaaabaaaabbaaabaabbbbabaababaaaaaababbaaabababbbabbabbaabbaaaaaabaaabbabaabbbba
+aaaabbaaaaaba
+abbabaaabababbbababaaaabaaaaababbabaabbababbbaabaaabbbabaabbbabbababbabaaaabbaaaaabbababaaabbaa
+aaabbabababbbabbbaaaabbaaa
+aaabaaababbaabab
+86 67
+aabbbabaabaababaabbbabbabaabaaaabaabbaaababbbbbababbaaabbababbbaababaaaaaabbbb
+aabbbaabababaabaaabbababaaabbbaabbbababbaabbaababbbabbabaaaababba
+babbbaaaabbabbabbabbbabaabaaaaaabababaabbbbabbbbbabbaabababbaabaabbabbabbbabaabaab
+bbbbaabaabbaaabbabbabaaaabbbbbbbbaababbaaabaa
+bbbbbaabbabababbaabababaababababaabababbbaaaabaaabaababba
+aababaaabbbabaaaababbbabbbabaabababbabbaaaaaababbaabbaaababaaabbbbaaaabaaaabbababaaaaaaaabba
+aaaaaaabbabaaaabbbbbbbaabaabaabbbaaabba
+abbabbabbabaabaabaaabbbbababbaabbbaabbbababaabababbabaaabbbbabbabbaababb
+bbbbbbbababaaababaabbbbabbbbbaaaa
+bababbaaaaabbabbaaaababbabbabbabbaabbaabaabbaabbabbbababbbbaabbabbbbaaabababaabbbaaabaabbababbbabbaaa
+aabbabbaaabababbbabbaaabbbbbbababaabbbbaabba
+aabbaaabbabaaaaaabbaaaabbbbabbaabbbaababaabbbaabaaababbaabbabbbbabaaabaababbaabababaabbaaababbbaaaababbabbab
+abaabbabbbabaabaabbaabbababaaabaaa
+baababbbbabababbaaaaaabbbababbbbbbbabaaabbaabbababaabaaaaaabbbaababaaaabbabb
+aaaabbaaabbababaaaabbbbbbbaabbbababbbaaaabaaabbbaaaabbaaaababa
+bbbbabbbbbabaaabababaaababbabaabaabbbbbaabbaabaaabaaabbaaabbbbbbbababbaaaabbbbbabbaaabbbbbaab
+aaaabbabbaabaababbaabaabbaabaaaabaabaaababbaaabaaba
+abbaabaaaaabbababaaaaaaabbbbaaaaaaabbbbababbabaabbbbabbaabbbbaaababaabbaaaababaaaababaaaabaaaab
+aababababaabbabbbbaaababbababbaababbbabbaaabaaabbbbaaaabbaaabbbbbaabaaaabbbabbaaabbbabb
+baaaaaaabbbbababbbababbaaaaaabbaababbabbbbabababaababaaabaaabbabbbaaababbabaabbbaabbbaabaabbaaab
+bbabbabbaa
+abaabbaaaabababaabaaabaabbbabba
+aabaaabbbbabbbbbbaabababbbbbbaaabbbbbababaabaabbbababbabaaaabaaaabbbaababababbbbaababababbbbabaaaaab
+babbbabbbbbbabaabaaabbaaabaababaaabbaa
+aaaabbbbbbbaaababbaaabbaaabbababaaba
+abaabbbabababababa
+abaaaaaaabababaababaaabbaabaaaaabbbabbbaaabbbbababbabbbabbbabaaaabb
+abbbbabbaabbbbbbbabababbabbbbabbbbbbaaaabbaaababbababbabbbaabbbaabbaaaaababab
+bbaababbbabbaababbbabaabbbaabbbbaabbaabaababbbabaaaaaaabbabbbbaaaabbaabaaaaaaa
+bbbbaaaaabaabbbbababbbaabaaabaaababbababbaaabaabbabaabbaabaaaaaaaaaabbbaaaabbabb
+baaaaabaaabaabaabaaabaabbaaaabaabaaabaabbaaaababbaababbbabbabbbbabbbabbbbbb
+baaabaaaaaabaaababbaabaabaabbaaaaaabb
+babbabbabbabbababbabaababbabaaabbbbbabaabbbbaaaaababaabbaaba
+bbbaabbbbabbbbbbaabaaabbaabaaabaaaababbabababbba
+baabaaabaababababaabaabaaaabaaaababbabbbabbabbbabbbaaababbaaaaabbbbaaababbaabbbbabaabbabbbbbabbbabbbbababaa
+baaababababbaaabaababbaababbabbabbbabbbbaabbaaaaaabbbbaaaabbabaaabbaaababaabbabaaababbaabbbabbaaabaaabbb
+babababbaaaaaaaaaabbabaababaaaaabababaaaabbaabaaaabbabababaaaabbaaaabababbbabbbaabaaaaaaabbabbbaabba
+baaabbabaaba
+baaabbaaaabaababbbabbbbaabbabababaababbbbaaabaaaaabbabbbabbbbbbaaaabaaaabbaaaababbaababaabbbbb
+abbaabababbbabbaabbabaaabaababaabbbab
+bbbaabaaabbaabbabbbbaabbaabbbaaababbbabbbbaaabbaaaabbaabbbbbbbbbbb
+baaabaaaaabbaabababbbbbbbababbbbbaababbabaabaaababbababbabbbbababbbabbabababbaaaaaabbaaaba
+babaababbbbbbaaaabbabaaaaaaaaaaababbbaaabbababaababbababaaabbabbbbaaabbbbabbbbabaaaabababbbaaabbabaabbaaaaaa
+aabaaaaababbabbaabbbabaaaabaababbbbabaabbabaababbaababbaaabbbbaaabba
+bbaabbbbaabbababbbaaabbaaaabaabaabbaabbabaaaabaaabaababbb
+babababbbabbbbaaabbbaaaaabbaabababaabbbbbabaaaaaababaabaababbabbbabaabaabaaabbaabaaababbaababaababbbbbbba
+bbabbabbaaabbababaaaaababbbbbabbbabbbbaaaaaabaababbbbaabaabababaaababbbb
+abbababbabbabaabbaabbabaaaababbabaaaaaaaabaaaababaaabaaaababbababbbbbabbbaaabaaababbabaa
+aabaaabbabbbbabbbbaababaabaabbbabbaaabbaab
+aabbaababbbaaaaa
+aababababababaabaaaaaabababbbaabbabbaa
+babaabbbbaaababaabbbbbbbbbbaaabbababbaabababbaaaababaaabaaaaaabbabaabaaaabababbaaaaaaaabbaaabbabaababbaa
+babbabbbbbbbaaaaaabbbaabbbbabaaaaaababbabababbabbbbabaaabaaaaabaabbbaaaaabaababbabbabbaabababbbaaabb
+ababbbabaabaababbbaaabbbaaabbaaabbbba
+aaaabbaaaaabbbaaabbabbbaaabbbabaabbbbbbabaabbbbabaabbaaba
+bbbaabbaababbabbababbababbbaaabbbbbaabaaaaabaabaababababababbbaababaabbaaabbbbbaababbabbbb
+aaababbbababbaabababbaaabaabbbbbbabaabbaababbbabaababbababbabaaababbabaabbbaaababbbabaaaaaaaabbaa
+abbabaaaabbbaaaaabbaaaabbaababaaaababbaabbbabaaaabaabba
+bbabbbaabbbaaabbbabbaaabaabbbaaababbbbabbbbabbbaababaabbbbaabbaabbbbbaab
+abbbbabaababbbaababbbbbababbaabbaabaabbababbaaaaabbaabaaababaaaabbbbaabbbaaabbbaaba
+bbaabbbbaaaabaababbbabbaaab
+aabbabbabbaaabaabbbababaaaababaaaababbababbabbabaaababbbabbbbaaabaaabbbaabbbaaabbabab
+aaaaaaabbabaaabbaabbaaaaabbbaababaaaaa
+babaababbbaabababbba
+babbaaaaababaaaaaaaabaababbaaabbbaaabbbabaabaaababbaababababbaaabababbba
+ababaaabbaaaabbbbbbaabbbabaabbbaababbbbabab
+bbaaaaaaabbaaabbbbaabbaabaaaaaaaabbaababbabaaa
+aaaabbbabababbbabbaababb
+bbaabbabbbbabbbbaaaaaaababaaaabbbbababbbabaaaabbaabaabab
+bbbbaaabbababaaaabbbbaabbbbabababbaba
+abbbbabbaaaaaabababaaababbabbaaaaaaaaabbaabbaaaaaabbbabbaaababaaabaaabbaabbaaaabababb
+baaabbaaaabbabbabbbbaaaabbbabaabbbaaabaaabbbbbaabbbabbbbbbbbbbbbabbabbaaabbaabaabbabaaabbabbbbaa
+abbaabbbaaaaababbbbabbbbbbabbbbaabbaaaabaaaaabbbbbaaabbabbabababbaabbbabbababb
+bbabaaabaaabababbbbabbbabaaaaaaaaabbbbbbbabababbabbbaababbabaabbaabbbbbaaaaaaaaaaababaaaabaaab
+babbaaaabaaabbbbbbabbbbbabbabbbbabbbbbabaabaababbaa
+aaabbaaabaaabaaaaaabbbabababbabbaaabababababaaabbbabaababbbabbbbbab
+abbbbbbbabbabbbabababbbaabbbbaaababbbbaababbbbbbbbbaaabaaaaabaababbaaabababaabababbaabaaaabaaabbaabbaba
+babbbabaabbaa
+baabbabbbabbbaa
+babababbababbabbb
+abbabbbaaabababaaaaaaaaaababbabbabbbaabbbbbbbbbbba
+abbabababbbbbaaaabbabbaabbababaabbbaaabbbbabaabbbbaa
+bbabbabbbbababaaaabbaabaababbabaabaabaaabaaaaaaababbbaaaabaabbbbababbbabaaabbabaabbababbaabaababaabbababba
+aaaabbbbaaa
+baabbbabaaaaaaababbaabbbabaabbbaababababaaaaabaabaaaabb
+baaabbbaaabababbbabbaabaaaabbabbaaabaaabababbbbaaaabbbababbbaabaabaabbbbbaaaabababaabbaaabbaabbaababb
+194 166
+bcccaaccbccbccbb
+baabcccabbbcbcccccbacaacbbcabbbbbaca
+caabbcbaccabcabcbcabacabbbbcbbcbabcbbcccccbaababbaacbaaacccaccacbcaacaabbbacaaaabccbb
+bacccaabababbbccacbbcacaccbaac
+acbbcbcaacaabaccaccaabcaccbacaac
+acbbbcacccccbacbcabcabaabacaccbbabcabcbb
+cbaabcccbbbbcacb
+cbaabcbcbbbccabbaaabacbacabcaaccccbbcbcbbcbacacbbcbabcabacaccbabaaabacaabcabaabccacaacaabbaa
+accbcbcbcabccabccbcbbabbbcaabcbaabcbbbbcacabaacabbbbbbbccbaaaacabcbbcbbbbcbcccaaabbcaaac
+bcbcabababcaabacaa
+acaaaaaacbbacababcbbcabbbcccacccaaabcbacbcbbcbababcaaacbbaacbbbccb
+bbcbabbbbabbbaaacabcabbbcbcbaabcaababcabaccccbabaabcaccaaaacacacaabcacbcbccc
+cbabacbccbaaacbaaaababaacbcbcbabaabbacbbbbacccacabbcb
+cccbaaababcacbbcbbcbaaababbcbababbbbabaaccabbccbaababbccc
+bcaabbacccccacccabcbacccbccccbcbbabaacabccbaaccaaa
+bbcabbabbbcbacbacacbcbbcacbab
+aaccbbbccabacbcaabaacacbbcabcabaabcccacccaacbbcbba
+bbccbcbcbbaaaabcaaaabacabbbccbccbacbaabacbcabcabaabbabccbaaccacbbbbaaaacaccaabbcabacbabccaacbcc
+bacbacbbbacbaabbacbcbbbaaacccbccacbbaabcccccbbcacabbaabacabcccbbcbcc
+aaabbacaaaaaaccaabccbccaabbbccbbbacaabaabcccacccaaaa
+cbbcbaabcbcccaababbcabccbbcbbacccabcaacbabcbcbbbabccbbcbbabaaaccbbbaaaaaacbacb
+bcaabacbbcccbacaccbbccbacabbbcccbbcabcabacaabcbacccacccbabaaabbacbabbaaccbccaccbcbbbbbbbccbabaccb
+cabcabacabbaccaaccccaaabbaccacbaaccbbaacbaaaccacbaacbcbbaabcbcbabcaa
+aaabbcbaabcacbbaaccbbcccaaaabacbbbccabacabbcaabccbbbcbbaabccaacacccaaaccbbbbacbbacbbacbaaccaabcaacc
+bbbcbbcaaccacbacbcaaaaacacbcaaaccccaacbbbaccacbcacccabccbbbbbabccaabaabaaabbcbacb
+cabaacbcabaaaaccccbaaccccaacbcccca
+cbbacabcacbacbcbacabaabaccabcbbbbaabaccababcbbccabbcaccbcbcccbcaacbacbacccbccbcccbcabaaacacbacaa
+babbbabbabcabaaabacaaabbbcabbabaaabccccabbccbbbbbbcaabcbbbbabb
+baababbccacaaaaaaabacaaccbaabccb
+bacaaacbbbaacaccccbaaccabaccaabbbbbcaabababbccccaabbacbacacbcccbbbacb
+accbccbabcbcbacabbaaa
+abbcbbcbabba
+bababcaabcabbcbbbbcaaacbbcaaabbcabaca
+bbbcbcccabacbacaaaaacacabbbabab
+caabcbcabacbcccbccabcbbbbacbccbbabcabbbacbcaca
+baabcacabbabcbccbbccccccbccaaaacaccabbbcaaabbacbbcabababaaccaabcbcacabaacccbacbbcccbcaabcbccacbbacbcbb
+bcabacbbabbcacaccaacbacaacbcccbabbbcaccbabccbaccababbcbaccabbbcb
+cbbcbabaabaaaaabcccbcbcbbcbabbcaaaaacbc
+ccbcccccccbbbcbacaabcbcbaaaaaaaccabcacaabbaacbcbbbcccaaccbbbbccbabacaacccabcaaacabcab
+cbcccbbbbbbacbbbcacbbbbacbabaabbcbabcaabbaaccccbbbccbaabbcccbbaaaacbbccabccaccac
+bcaaaaabccacbbbbabbacbabcbabcac
+caacbccaaaabaaacbaacccaacac
+aabcbccacbbcaccacbbacbcbcacbbcccacaaabcaacccbbcbaccbbccaaabcbaabbbbabcccaabacaaaaacbbcbbacbbcacabcacb
+caabcbabbcbbbacbcabaabcccbccacccbbcccbaabcabcabbbacbacbbbbcbcbbacbbbacaabba
+abbbacacbaaacbaaabbbab
+bcacacabcabaaccaccaccccbbbabcaccacbbcbcacbbbbbbababcbcaba
+cbccaacacbccabcbaabacabcbabcaacacbbbacaabccbccbcaaaaacbbbabcaaabcaccccbccccabaa
+baccccccbabc
+bbacaabaccbb
+bbbabcababbabababcbbcbcbbbbcccaacbbaabbbaabcaccbbcbaccccbccababacabcc
+ccacaababaaca
+baccacaaaababcaaabbcbbacbabcaaccacbccaaabaaacaababbbbbcbbccab
+cbaccacabccbbcbbbbcccbbbbbbbacbbcabccbacacbabbbcaaabcabacacbaacacabbaabbcabcacbbccabccbabcabaacccabb
+cbbbbabbbbacacbaaaabcbcabcbcaccabccbcaaacaabcbacacababaaccaccacaccbcabaccbbcaaaabccbbaacc
+abbaacccccbabcbaabcacbabacaccaccbabaca
+cabbaacccccbabcabcbccababaaccbbbaaaccaccbbac
+acbcbbcbacabaaacbacaaccbbaababcaccbabcccaaabbaaaacbaaaabb
+acbbcbcaabaacacaccccacbabbbbbaccbcbbaaccacbaaaacbccbaccabbabcabbbbbbbbbcbbcaabbcaabcabb
+aacabbacabcbbccacabaacba
+cbbcbcccccbcbbccabbcbbbbaaabcabcacbcabbaabaabcaabc
+abaccbaaacabaacababbbccbaacbaacbbaaccbccbbaaaaaacbb
+aaabbbbaabaabbaccccababbcacbabaabbbccb
+abbcaababbabccaa
+acaabcbaabaaaabacc
+cbbcbbcbaabbbcbacacbbabbaaacabcbbcaabaaacabbaacbccbbbac
+bbccaaabbcabcbacacaccaabbbababaaccbcbcabbaccabacbcabccbab
+bcbababccaaaccabaabbaabcabcbccbcacbccbbccacccbbbccabaaccbaaccccccaaabbccbabbbcbccb
+caaabbbacababaacaaabccaaccbcaabcabacbcaaacbcacbcbcaaaacccccacacbabbaabbbcaaaccc
+cbbcaacbacbacabcaaccccaaccabbbaacaa
+bcbcaababbbbcabbbcbbbcbbabaccbccbacccabbacbaaabcbbacaaaccbbbcaabacbccbbcbcbbccabbbbcbbbbababbbbacbb
+ccabacbaccacccccbbcaaacacabbacbabbacccaaacacbb
+baaaacbcaccbbbbbacbcbcbbbacaababcbcbcbabccabcaaacbcabcaccacabbbccbabacccbaaaacabab
+acbcccbbcacbacabaacababbabaaaccbaacabcababaccbacbbbbaccbc
+babcacaabbcbbccaaaccbbbcacaaccbccaacaccbcacbbabaaacacab
+bacaaabbcbcabbbcaaacacbbaccbababbacbacbbcccbacacc
+ccaabaaacbbbacbaaa
+abcaaaccacabbcabcbcbacbabaccccbbccabaababacbcbbacacbabbbbccbccacacabaaaaacabcbbacbabbcbbc
+ccbcbaaaabcbbabacacccbcabcbbbcccbbccca
+accabbabbcbacabaacabcbacaabbbabbcccaacaaca
+abaccabbbabbacccaaabbabbcccaabcbaaaabbcaabaaaaacaaabcbcaaabbbbccbcacbacbaaacaaacabbbabbcccccbabcbca
+caabcbcbabbcaaacbabccbaabcbaaabbcbcacaccaccccbcabbbbcaacaabcaacbcabbccbbbbababcacbb
+acaaaccbccbbcaacbabccbcbabaababcbaaacbacbbcbbbcabbcbcaacbcaccccaabccaaccaabaaaaabaccbccbabaacc
+acbacabacaacabccabaacccbbbaacccbbcbaacacbabccbccabacccaabbcbbabb
+acbaaabababababcbaabcbbaaaacbbbaabababbabcbbacbababccbabaabcbbc
+cbbbbaaacbbacbbbaaccbbaccbaccaccccaacbbacacccaabcbacaaabbabababacaababaaccbcaaacbacbbbcacacacccaccbb
+bbcccbcbcaaaaaabccbccbabbcbccbbbbbcbaccbbbbcccaacacaaacbbabbaabbabbbcaabbaabbbbacbbbcbcbccbcbbabacbaaaacabc
+baabaacaacbbaaacaaaabbcbcaaababbcbaabbcccbcbbabbcccbcccbaacababbcac
+aaabcaabcccbbabcababbcaaaaccbaacababbabaccbccab
+cbcacabaabcaacbcbbc
+cbaaaaabcaaccaccbaaacabcbcca
+acbaabbababbcaabaaccccbbcb
+abbbacbbcbbaabcbbbabacb
+aaccbbbaccbacbccbcb
+cbabacacccabbaccccccbabbcbaacbaaacbccccbbcbabcbbbcbcaaabacacbbbaccccacabcabaacccbaacbcbaacccbcbaccaba
+aaaaabcbababbcbcaabbabbbbcccab
+abacabcacbbcbacccccbbaabacabaaccabccaccabcbbcacaabcaabbbccbaabacbab
+cacababcbcbbaaccabcacaaccbabbbabbbcacbcbbcaccabacaabcc
+cabaaccbcbbbabcbcacabbcbbacac
+cbacccccccbbbcacbbaaaabcbbaababbcacbbbcaaaaccabcba
+acabbbbaccabaaaccccbccacbaaaccaacaaccbbabaccacaccaacccbbbacbcbaabaacabbabaa
+acccaaaaccaabcbacccacbacaaabccbbbcbcbcbaacbcbaaba
+aaabbbbbcabbbccabbccacaaabcccbcacbbcaaabcbaabacacbbcbcbbbbaaacccbbbacccacabc
+baaccbaaccacbbacccbcbaabaacccaabbcccabbbcabccbcbcabcabccaacccabacbaaacacacccbab
+bcbcabcacbbbbccababcbacacbbcabcaabacabbbcaccbb
+aaabbccabcbaccabbacbbaccbbaccac
+abbabaaccaacccacbabababaaabbcba
+abbbaacabcccbabbbbabaabcabababaacbccccabcbacbbba
+acbaacbaacbabaaacabccbaaacbbcaaaabaccbcbbabbccbcbcbbccccabaabaaac
+abbaacaccacbaccabbabbaaaba
+abbccaaacacabcbbbaaccbabbbcacbcaabbbabbacaabbccacbcaababbabbccaacccccccbbcccbabaababaccbaccbbaca
+baacbbacaacbcbbbccccaabccbacbbbacccccbbbcbacaaccaabbccabaaacaacbccabcbbabbaaccbbbcabbbcabaaaccccbcacbbbcc
+aabbcbbaaccaabaaabbcacbbbaacccaacbcbccbaacabcbcaccbcbaccaccabbaaabccbaccbbbacbcbbc
+cbaacacabaabcacccccbbaaccabcaccaaaabbbcbccbbac
+bcccacbabcaccbbabcbaabcaacababbacbaaaabbbcbcacaccbbbccbccacbcaa
+bccbcccaccbbcbcccbaacaaacacccccaccbbcacbbacbcbaacbcabbcabcaabbacabbcc
+aaacababccccacabacbbabcbcaaaaaaacbbbacaaccacaaabaaaccabcabcaacbaabccccbbaccabacbaccacaaaaaaacbbababbbbcb
+bbccaabbbbbcbbcbaaccbbbacaccccacaaacbccbcabbaccbacacbcaaccbcbaacbcbccbacaabbbbccccccaabbccbacacacba
+aabbabbccccacaccaabccbbbbacacabaabcaacbacabaabcccabbbaaab
+bcabaabbcabacabccbbcacbbacbbcbcccaccabccaaabbaacbbccabcbbacaaccbbcccaacacbacbaacccccac
+accccabacbaacbcabcbbabcacabbabacaaaccbaacccacbbcbbbaaccbbabccccbbcccacbac
+cbcababcbbbbcbcbaaabbccaccbcacbbaacccaabcaccaabbaaccbccabcbabbbbab
+babbabbacccbcbabcacccaaaaacbaabccbcabbaacbbcbbbbababccccaaaabacba
+bccbabbbccbcbbbbccbabbaccbcccbabacaabcbb
+bcaccbbabacaaabbccbaabcbbbbbbacabbaacccbbbcababacaababbacbcabbbbbcbbabacaa
+cbbbccbcaaccbcacbccbbacbcbbcaaccbcbabbaacbaaaaccaabbcbaaaccb
+abcbbcaccabcaccbabcbcccabbaacaaaabbbbbacbabbbbbbbacacccbabbcabbbcaabcacacbbccaacbbabc
+aabcccbbacbabcbcababaaccbbca
+cbabbccacabbacacaacc
+bacababbcacab
+cccbbabccbcaccaacbbbbbbbaaacbbbabcabccaaaabcbbaacbcbcbcaaacaabcbcabbbccaaccacabacbbcbc
+bcbccbccaabbccbccacbab
+accbacccaabacaacccbaccababbcacbacbbaacbaaacabccacabccacacccabaaabacbaccbcacabaaac
+aaacacbcbabcbbacaaabcaccabacbcaaccbbabccbcccbabaaabcabb
+cccacbcbccccbbbccaabcacbabbbabc
+acacaabccacabbccbbcaacbbabcccabcbaaccbbbbccbbabacccbbbccaacaccccccacbcbbccbbacccbaaccbbca
+cbacccacbaaaccccabcababbbcaacacaabbbbabbacacccaaaabaacacaaabbbacbbbaabbcaab
+ccabbcabbcabbbacccbcaaababa
+bacbaaaababccacabbabcbb
+bbabbabababcccccaacbbabbbbcaaacaaccbcbabcccbccacaaabbccaacbaabc
+ccaacbaacaccbcbaabcccbbccacaabbaacababbbaabaacaaaaaaacbcaacbacbabcaccbcb
+cbcaabacaccbccacaababbbcaccbabbcacbcaacabaacbcabcbababccbccccacbaabaaccbcbbccacccbaabcccaab
+bcacccaaabacbaabbcbcabccbcabaacbcbabbbaababaabcccbbccbbbccbaabbabcaccbaccabaaac
+ccacbcccaacbccacbcbccbbcccabacbabbbbabaccaacacabcbbbbcab
+accaacabbcaababaccabbcccbcbbcbaaaabccacbccccacbcaacbabbccacabbaccbabcbbaccccbbbc
+aababcbcbbbcaaaabbaabcbc
+cacabbaccaaaabbbacacbcabcccbbcbbbccacbcbbacacbabccabbacabcabbaacaacacaabcbbccacccaaabcbacbcaccbcabcabaaac
+baacabacaabbacbcbbcacbcbbacbbcccabacccaaccacabbbbccbbbbaccacccbcbbcaaccccccbacaccaabbabccb
+bbcaababccbbacacccbbabbcbbccbbacaccbbbccaacbbacabbcbc
+abaabccaaccabababccacaaacbbaaccbcbccbcccabbcbbcbacbcaaaababbaccbaccbbabbaacaacbbaaacbbccba
+aaccacaabbb
+aaaababcaacaabbbbccccbacabccaaaaabcbbbbcccccbcbcabbacabbbbcaaacbcbaacacbabcbbbabbccbcbbabbcbabbcbcbbabb
+acccacbaabbccacbccbbaacccabbbabbcbacaacbaaaacacbccccaacbaaacacacaacbbacca
+cacbbbabababbabcaaaaabcaaabccbaacacbbcabbaccbaccacbaababbacbccbaabcbcccccccccaccbacaaab
+bbbacccacbaacbababbccaacbcbacccacaaabbbbaabbcbaaaacabacbabbbbcbacbcababcacbbabbbacabaccaccabbaaacaaca
+abbbbbacccbcabccbccaabaacccaacbcbc
+acabccbacabbbbbacbcbaaacbabaccccbcbcacababaa
+accbaabbcbcabccaccaccccccbbbaccaacbccbccccaacbacccacbaaccaaacabaccbbaabbbacbcaaac
+abaaccaccaba
+aaccbbccabacccbbaabaabbbbcaaaabcaacbaccbcbb
+cbaccabaacabccccacaacbaabacacaacacabaccaccacbcaacbabcabcaacbbcbbcaacbbcacbbbcaccacbbaaccbabaacbbbccbacab
+baacbbbbacbcaccbbbbbcacbcccbbbaccbcbbcbcccbbbbbccbaababbbccacabaccabbaacbcbaab
+ccbbacbcbbcabbbaabcbbcbcacbacaaacacbbbaacabcbcbbaabccaaccabacbbcacacabcccbcc
+bacaacabccccacabbcbcccbcbaba
+bbbaabcbcbccccccbcacaccacacacbbabbcabccbbaaccbacbccabcacccbaccbcaaacaacbccaababcaabbbbba
+bcccabcacbbbcbaccccacbcbcbbabcbacbcbbbbabbaaacbcbabccbaabbcaaaaaabcabc
+bbacbcccbbabbbaccabbcbaaaccacbbacbcbaaacbccbaabcbcacaccabcccabcabacbcabaabaaabababbaacbcbcacaabcaccaccbbcaca
+acbabaacaabbbcccbaabbccbbaab
+abaccbcbbbbaccaacbcbbcacaacbbaacbcaaabbacbababcbccaaacabacaabacabcbcbbcbbbcaabaacccccccabacbc
+bccabcabccbabbbbccbccccaabbbb
+babbbbbacbbbbbbcccaaccac
+caaacabbacbcaac
+cccbbaabaaacbbcccaabababababcccbabbabaabbbabcbaacabbabcaccacbabbabcaa
+babbbcbcbbbacabcabcbaccacaccaaaacbcacbaccaabccaaacacabacccbaacbcabccacbabbcccbacb
+cbbccabaacbacbabbcbbcccaccaabacbbaccbaaabbccbccbbaaacaabbbaaabcbbac
+bccbabbbaaacaaccbcccaaca
+babbbacbaacccbbbb
+bbccaabcbbabaabcbcbbbbccaabccccccbbbccbcccbccababacbc
+cbaacccbcabacaabaccbcbbcbacbcbbbabbcacbbaacaacacbcaacccbacbcbacbacbbcaccbca
+ccacaabcccbaabaaabbccabacaaabcaccbbbacaabbbcbabacbccbccbabcccccacacccaaaaccbaccccacacacaabacaaabaaba
+babbcbccccccacacaacabacaccbbaaabbacaacabccccbcbabbabaabbbccababcabaccbbbbabbacbbc
+caaabacbccbbacbaabaccbbabcabcaacabbccaccabbbacbabccbcccaaacb
+abccbbccaacaacbbcbbabbcabaaccccbabaabacaabacbabcbcaacbabcbbacbbbccbbbacabaaccbccccbabcbbbcabcabc
+ccccabcbaaaacbbabababcccbcaacacbbaccbbbcbcbcbbacbcbccabbabaccbcacccabacbcccbcbbcaaaabccaacabbbcccacc
+ababcabbcabcabcbbcaacbacabcbbaabccabcbbaaaccb
+aaabbccbbcabcaabbacbccabcaaaababacaccaccbbcaabccacbcababcbccabbbbcbabcaabbcbcbbbbbbacbaccacbacccbccbacc
+caabacaabcaacaacbcabcabcbbbcabcaacabacbccaabccbbaababacaabbcbbbbcacbacbccabbacb
+bbaaaacbccabcccbbbbabbccbccaacccaaacbcbaacbbbcbcbabbaacbcccbbcbcbcabacc
+bcbcbcbbcbccabcbacababaacccbccccbaccbaacccacaacbcacbccbacaaccccbacbcbccbbbccaccabbcbcccacbbbbc
+abcbcacacbabaabbcbaccccabaacaaccbcbabbccacbcbbcabababbb
+cacbaccacaacbcbaacbbbaccbacaabbbccaccbabcbcbabbbcacbbbcaacacbbbaccaaa
+abcbacaaabcbccacbaaabcbabaacaacccacbabbaabccccbbacaaa
+bbccbaccbbaabcabbacabbcaabaccccaccaabacbacaaca
+aaacabbbacccabbacaacabbbaaa
+aababcaaacbcbccbbcbccbbbcabacbabbabbcabcabcbaabc
+242 129
+cddcaaadbdddcbccadccbdccabcadabbdcbdabbdacaacadccddddcccaaacdcadbadcdbccdaacb
+addabaccddacbdbcdcaacdbbbbcacabadcdddcdbcdcccadddcadbbdbbdddabababbbbddcb
+cccbaaadbadddbddcbbdcaaacbdaadbbbaddbdacaabbdcddcdcaaddbadcdcdabacadabdcb
+ddabbbabdbdabdbbabbcaaabcdacaccacbaacbaabdccaccbaddbbcaaccadcdc
+dcadbabcdbddbddcdaacdabbcaacbdbcdcbbbcbddacbaccdaccabcacddabdacabadaabacaddadddcdccbdbcadaddcbdbabcdcbbdc
+ddaccacbaabcbdcddadbabdddddcbabdbcdbbdbcaaccaaccaccdddbcbcada
+dcbadaaddddacaddaddbadbbcdcaadcdbccdcdbaadcacdddaacddccbcda
+ccbbcbbddbbaccabccbdadcdbbbcacabcdbdcbbbdabdcdbdbabcddadabc
+ddddcdcbacacbdbcadca
+bbabdcbaccaaccacddddcaccccbadabbcdcbdccacbaadbcadcbbcddaccabbbbabbbaddcdbaadbcdcdccacbcbadbcdba
+ddcaadcaaaddbaddbdddacbdbbaaabbbdababdccabbbcbcdcacacbbadcab
+cdbbbbaadabbcdcddabcacbdcba
+ddbdbadaddbbaadbdcaacdbbbabcbddddbccdddcacddbbddbbbbccbbcacbbacddddabbbb
+ddbbabdacdcabdacbacacdaddcabaaddccbcadccccdcbabcbdabccbacabaaccddddbaabddcdcccbdabcbcaaa
+adbcdccbcabcdbbbadacdcbabcdccdbdabcccaacabccdaddbdcdadddddbbaadabbabaaadad
+cdacabadcbbbdbabdbcdbdabcbdaadaaabbbbabbbcdaaaacadabbacadaabccaabdbacacabdbcadabbaabccddbcdaaddcbbbdabbddba
+babcdabacaacccadcaaccdcadbadddabbaccdabcabbbdddcbaabadcdacbdbacccbacaabacaabdbbdbaaabaaaddcadbbcabdadccddbbcd
+ddbddbdcaabdcadcbacadadadddaddbcdcbdbcdcbbbcdcbcabaccadaccadbcaaabdacbbccb
+bbabbaccaadddacbbcadddaacdcdaaaaaabdddacdaddbabccdccccdaacabcaabacbdadbdaaaabadaadb
+abdcdcbabdbcadabccadaadddadbabcadadcccbabbbac
+babdaccbbdbbbdadbbbbabbdcccaddadbacdaabbabaabbadccc
+cbcdbaacacccbdbaacbddabdacbacccbaadccbc
+bbdcddcbacdcacaabccabbccdcbabcbcbbcaccacdbbdabbdacbbab
+cadcdcccdcaccdcdaaaabdbbbdbacaaabaddadbcbcbbadaacddad
+cdbdcbcdaaaadcbbbaabdbb
+dacdbaacbcdbccdac
+bcbbbdbbdcbdababdccdbbaddaadbacacdbdcdacbdacbcdcabcaaaaaaaaccaddcc
+bdcddddbaacbdadbdccaccaaddaabbcaddbdcccccdbbccbcbaaaddccccdadabddbddaccbcbacdbaaaadcdbbbdaaccbaabccadccbbdabd
+cbadccdcdbcadadcadbabbc
+bbcabbbbadabccaabccacbdcbbabccadcbdbaabcbbadcddddabdcccadbccdbdcdccdddcbaadcacb
+abdccacbcdacbabbcccdaaadbbbbaaacdbacabcdbdaddbdacbdadcbaaabaaddaddaaaadabccabcacbdbcbcac
+dabbdbcaabaaadddacdbaaaacbdccbdbadddbabaddaadacada
+cbdccdbacaabdcbacdbcaabacdbacacaadcadcadbbdbdacbaddaacaccacabddcaacaabbcdcdcacdbbaabaaacabcabacabaadddabcb
+cddddaabdacc
+bbdacddaccabbdb
+bccadcbbdcdbddcabacdbbaabbbacc
+adbdbbabbabadadcadacbabbbdaacdadddbbabdcbccacbadb
+dcadcacdbbabacaccbaabcabbbdbdcacbadcadcdaadcadaadaaaadbadbcaacaaadabdadccaddbdba
+cbddabbccdbbddcad
+dabbbdaabdaadcbdabbdcdabbcbdccddca
+dbdaccadcadc
+daddbabcbdbacdabbabaabaccbaacdaacc
+cdbcabacccdccdbaddabdcadadaaabbddcbdcaabdcaaadcbdcbc
+dacdcaaaadcdabddacccdddcacbcdcdbbaacbdbbcbdcdbbaadbaddbbdcd
+ccdabbbbbacabbcacbddadcaabcbaaddbdbbcaacbabcddddacdabaccaccaadccdacbcbdcddadcbaddacbdbcc
+accbaccbdabbbdaaaccabcbbbdbddddaaadcddccddaaabaddbadddbacccddabdccddaccddbcacc
+cdbadacabcbadbbbaaccbcabdcdddbcacdcdadbccbabdcddbbacddccbdadcca
+bbcaddddca
+ccbacbadcbaacbaacabcbbadadbcbdbacbbbcdddaadddcdccacdcabadcbcadddcddcdcadbdcbbbdcdbdcbddcabbdadccbaaaacd
+acbdbdacacbdcaddccbcabcbcaabcdddcaabcbaaccbadbabccccadadaaaddadadaadbbbadbdcdacaacbbadccdbcccbaaacbb
+cbdcbbcdadacbbbdbbbbcccdbcabaacadccadcbabbbbdbcabbbaadcabcadaccbcbbbcdbccbbaabbdddb
+dddadaccacacdbcdadbaadacaababdbbdbcdadcbbbdddbcdaaaacacdddbdc
+dbacdcbbdbcbaccdddbcaacbdbabdcaadabcddd
+ccbbbbabadbcccabcbcdadbabddaaacbbdaaddaacdcd
+bcabadcabbdadbcbadbbaccdbbacacdbddbcccbdbbddccaddbcbcdb
+abccabbbccbbdbccbdcbdbaaadda
+dbbabbcbcdbdddadbdbdbbbdbddaabcbdbadbacabdaaaddcdcaabbaaabbbccdacabadccaadddcbcdccdbadbcddadcadbcbbcbcccdadcc
+cbadcbabaccdabcccadbbdbcaadbabbbddbabaaaabccdc
+aabbcaaaabdbbaabccdccbdbacdabcdbdbdbbccddbbdbcaacbbccbbaabaabacacdbbbbabbadcdcacbccdcacdddccbdd
+bbabbbacddacbdacaddacdbbdadbadbcddcdadbdcdabbbaacabcdcbbcdabdbdadbdcbcdcbdadadaddabcbdcabdbadcdcbbbabdbccbca
+ccddbbccaddcdcdcddadadcacbacbdc
+aacddadadcacacdcdcadccbccdcadacccdabadabcbdcabcdbbccbcadacddadadabdbabcacbbbccdcdccbcbdbadbddbbdac
+ccdbdcaaddabaacadcdcdbbbadacadacbbbaaababdbbabacadcadaaabbbcdbacbabaacaaabcacddcdabdbdcddabdbbddddcadcccdcbdc
+baddbcaadccdbbddacadabbacbcdbbcdcbdbacc
+bcddadcdcdaddadbccacccdddadaabadcdcbcacabcacd
+babbcdbbadaabbcbacdcbdbabdcadacdcadbdabdbcbacbabcbabcbadaabcccccbcaacdcbdcadcdabadbccaabcdcdabdccbbabbd
+addbcccbddddbbdacbcdcddbadcccbaccbbcdaacadbdcaacbbcbcdcbccbdaabdbacdaababaabcddaddacdbbdaaccbacdcbcadccb
+cadadbabbaabcabcdcccabacadddaddcacdaacadaacdcbccddacabb
+dacaaccadbccdcccbad
+dababdabdaddabadbacdddadacbaadccacdbcacdbbaaddbbacadadaccaa
+bbabaacdaaccaadcbaddddbaabdbbcbbcacadadddaadadcababcbbbbcd
+abcaccccdddadcacccabdabadbdcbbdbbcaabacdacacbaccdabccccdacbdadbdaaabbadcdcb
+bccadacdadcacbdcbaccbbaabdbadbacddcccbbcbcbacdbcbcabdbdcdaa
+babdbdbbbcacbddadcdbadcdabababdcabcdaacdcbbbdcdbdcbacbadccbdbcbbcbcaaabbddbbdbdbdcbbacada
+bbbabdcdcabddcaacaaddbbddbcbbbbbcbdaa
+bccbaabbbbdabdddcdcaaddcadcbbaabbbdddbcccadcdabacb
+aadacdbdacbabbcccccddaacbcaabcbcaaabaacbcccbababcbacdadaacaacaadcdaabbcadddddcadccbaabaa
+addbddbcaccdcaaddaccbcaaccbdbcddabdbcdddaadabcdbccddcdcdba
+bddcbbbaabbbd
+dcdaaddbccdddbdcdacbabcddcbaa
+ddadbadaadcaabbbbbdcccbbbdabbaacbabdadbbccbcdccdacbcdcdbdccda
+cbbaacbbdaaaacdcadabccbdacbdbbdbacbaaabbbabbbdbabacadcbdbcacaaadacaddbabddbddddcbdacaccddbcdb
+dbabaabbdadcbadbaaabccdddbccbbaaccbcbabbbcddbccddbcadbabcbddabcccbbcbaadacdcaabcdcdcdcdbdcdddbbaaadccadbdd
+abbbdbaacdcdaabcabbaaabbcbaddadcdacadaddcadccddba
+bbdaacbbdb
+adcdbbccaabddbbbddacdbaddcaabbaddadccbaadcabdadbbbcabaadadbadabbdcbddcadacccccbbadbbdccbacdc
+ccbacbadbdabbaaabcaddcdccbbacacbdbbcaacdbcbccbacadabaacbcbdcbdbaadbbdcdacabbbdbcaacaabbcbacadbacadddddcab
+abdcbbcabacdcaacddacaabdbdaabccaadcadcca
+daacdcbddbcdabaddadcdaaaabbcbbbabaddddacabbadadacbdbbadddcadccddbabaaacddcadacaddcbbbdddbddacb
+bddcaadbacbcbcabbbccdcdccacbcccbdcadabdcdbcdccabcdccbbddbcaaabbddcdbcdcddacccbdb
+bcbacaccaadcddccddbbacdacabadcacbaddabbccadabbbddcccdaaccaabcadacdcdbddcaacaaccabbc
+aacbdcbcdadcabdacccdabcdcaccdbaccabacba
+daadbccaadbbab
+ddbadadcddbabddbcddcbabaabbbadadbdbddcdbbccbababcbaaaccbdcbbadabcbcaaacccbbcdbabaa
+ddddcbbaaaaabcccaabddbcadadbcabcbbbbdabbcabddbbcacabdbbacbacdbdadacccbdbcdbbadacdcabbacdcabcbbcddcbbc
+caccbbccbac
+adddbcbcbabdbadacaaccaaddbcaaadabbdcabababccdbaccbcdbbbdabbddaacdbdccbad
+ddbadcacccdaaaccaabdbbaddbbcaadcbbdcdbdbadbdbbcccdbcdcaacccbbbbcaaaddbdbaacaadaaabababcaaabbaacacbda
+dbccdaacdbbdbc
+cddabcdbdabdaaddbbcbddbadcabdacdddbdacdddddbcddbcbbdbacddbccacdcbcacaabbd
+daadcacabcbddbbdaadbbcccbdcccaacccabadcbbadaaacaabccbdbdcabddbdababcbdabcaccdadd
+bbbacddabcdabaaccddcbcdadbabbccbbaddaacabbcabbaacabaadcdbad
+cccdcbaddabcddcdbbcbadbccbdddcaaaccbbdcdbbdbddaacdcbdbcccbdcddbcaacdacaaadddcabdbaacbdadbacd
+bdbbabbbbabbbabccadadcbdcadbdbdaabddaccd
+addcadcbbbaacbcbbbabacaabaaccdcbdccaadbacdcbcaaacabadbccddbccdbd
+cdcdbdbbaabadabcdacdbdccbabababcbcdaa
+ccaabcbbcbcbcbbbcadbdbdbbdcdaadaabdcacccdcacbabacbccadaadddbbbbaabdbabbccbcbcbadbcadacbbadbcbcdbacdabbb
+dadabccccaddcaabbc
+cadbbdbdadddcdaadcabcdacccbadabacabbdddbcababcacbbccbdcdbadbbcddbbcdacaacddabdaadbaddddcdbdbc
+abaacccbac
+badabccdcbabddaabbbabbcdcaddbcdba
+ddabddabbadababcabcdadaaadab
+accacaaaabadbacabccdcccdcbddccbddddbbdbababdbabdbcbdbabcaaabddadacaddcabcddaddaabcbbdacda
+bbacbadaaadadabccbbdcddbcdbbcabcdacddbcddbcccbddbabcbaadadadbbcdaddaaddacbddbcbacbdccbabdccbaa
+bcbcadbcadbaaaacbbbadcaadcaaccbcbcccbbabcbddbcbbcdddcdbcdcabdcdadbcdcabdddacbdcaaaccada
+bbcdabddacacbadacbddbbbbaadacacaaaddcdcccccbbbba
+badbbdaacbdabbaccddddcaada
+adddddacdcccbaabbbabccabdadcdacbbdbbbaddbcaadbbdabddbbbaacadddacdacdcb
+dabdccbcddccaaabacbdbadbaccdbdcdabbcab
+acccdcdddacddbacadacdbbcaccdbbadacdddaabacbccbbcbbdcadacdaacadabbacbabbcdbddcbcddaaadcaaadcdbcadccdbb
+daabcaadbdccbdcabadcbdcbaabcbddddcbcdbdbbcccbaadddcdbbbaabad
+bacccabdbadbcbbcccdcacacddbacddacbbabdabbbabdccccb
+cbdaadabcbccbddcccdaddaddbccdcabcccb
+aaabccacdcdbabdddaddadbddccbbcabdbcdaacbcdbaaaacb
+bdcbcddadccccdbdbddaaadaddbdcdccddabacbcadcdacddcadbbcddabbcbcaadbcddcacbdcaaa
+cbdacbdcbcaccdcddadbadddaccacbcccbddddcdbbbbdbdbbcdbadbccadcdccdacbdaadcbbbdbbadaabccbc
+bcaddbacdbbbacbddcbcdaadddccbdadbaaacdabadaddbccacbbdcccdacbabbdaaacbadbcdacabdcccabbbcacacbbccaadaaccadadccb
+caabcdbadbccdaacbaaababdabbbcd
+ddbacbaddacddddacddcddaaadbacaacbbaccbdcdadbbdcdcddbabdddaabcbb
+dcaabcddadbdbbbdbbdaaadbbcbcbaacdabbaddccddbabccacdbdaddddc
+acacacbcbbbbcaabbbacdabbbabcbcbadadcd
+acddcaddadbbcbddbbdccbddacbd
+cbdabaadbbbadddcabacadbddbccddacddddaadbdbdd
+adaddaabbaddbdabccdcccaddbbaaaacbbddaabadcddbaddbcccdbbbcabdbcdcddcdbdcbadcbaacbadcabadabcddddbbda
+daadcdaaccaadbaaabcbaccdccaacbdabbacdacbacccbdc
+adbbbbcbddbabacadaaabdbaddc
+aabcaaccaadcbcbbbdadcbadbbccdcbaccddcbdbbdbcaaadcaddddbdaccaddadadabcbbcdbccaaadaacadbaadacaabdcbbdbd
+cdabcadcaacbcbdccdbdacaccacdcddadabbdbbcdccaccd
+dccbaddaabaaddcaabaabbabcdadcacdadbcdddaccdcdcbbbadddcaabbbbdabbbbbcaacbb
+caccbaabcaccbaada
+cbcdbbacbadacadcaaddacaacdbccacddcabdddabdcccbacbaaacdaaaabcbbabcb
+bdcdabdcadacabdcabbdbacdb
+dbcaccdaccbbbddcababdbcaacababcacbdbdbbdbccacc
+bcbcccdbbdcaddabbbccccadcdcbbcbcadadccacaaaadcdbcdaccddaadbdbdacdcdaacc
+cbdadbbcccd
+dccaabcbbacbcdadcddcdcdadddbbcdbdcacaadabbdbbbcbccacccdacbdcaa
+ddbacccbccbdcdcbaacbbdacccbddbbdbaaadbabdcdddcacaccaccdcadbcacabbabaacbaccdcddadac
+abddabdccbcadacdadbaaaddbccbaaaabbdabacbcbdddcadcdbdadcbcbdbcacccbad
+dbdacbdbdccbbbaaccbcccdbcbaab
+cbbaadabbcbdadccccaaaaccadaabcda
+cdbbadcbcdddaaddbbbadcbdddddcddb
+acdbbdaabbccbccabbdaadaadbdaaabddddcbbdcadaadddbdcdabaddbdadcbacabccccbbdbbbdbabcddbdbbbcaccacac
+dcabdcdddbbdbcbbcacccaacbdcdcdccbdcbbdbcddcaccaddbccbccbcacbccbaccdabbbd
+bcddadaacbbdaddddaacabcddbbaaadddcbdcdcbaaddccabbbabdacbdbccccdaddaadbdbadddbbbcbcbcaacdbbcacacacbaaba
+ababadacdbabccbddbaacdcdcdabddadbdacbbdcbdbaadadbbdacacaabdcabdcabcdbbabddddcdccbdcdcddabdaccbdacbc
+dacbdaacbbdbdbbcbdbcbbbddbcdaacbbddccdabcddbb
+cdbdbdbdcdbcddadadccaccdcdbabcadabdcabcbacaccdcabcadaabbbbadaaadddabdbdbccdcdaaddabbcdccbacba
+addadccbcccac
+dcddbcddabbadcddbdb
+cdcaaddbadadcbacdadddcddbddaa
+cdacbbcaccdaaccdcaadaadcbabcadbaaccdbbcdccabacabdddaaaddabcabacbdddbbdbccabababbdcc
+dbccaadaccbcdbccbbdbcddcadddabbcbdaabbbccddbbcdddabdbdcddbaabacbddcbdddddbbbddbbcaddadbbbbdcabcdaddddacac
+dacbaadaabcadcbbbbabaaddcacdbaccbcdcadbbaaadaabbcbcabadd
+adccdbdcabdadccdbbcbaa
+bdadabbdacbaccadacddbbacbaabbaddbcaccdbcabcddadbbdbdbddb
+dccabdccdcaccbaadaacbcaadbdcadccadbdaabbdcbdababbdabddadabcdbadbdb
+bddcdaaccdcbabbdbcdbaaaccdbacddcdccddbbbccabbccabccabcdcbcabaabbabdacbcbaacbcccaadabcbabadabcc
+cacbadbdacccdbacddcbabccadbbdaaccabccabcbacdbcaaaabbbabdccbddbdabcdbabdadbcbdbccbcdcadbbcabbdbddab
+ddcbdacbcadadbbcaad
+aabadacacddaacacbaacddacbbbbcdcacbdbddcacaadacadbdabddcdaccccaaddd
+bdadabbbdcbcccdcbaccadbbcbccacdaacabcdcaabadbacdbcddddcbdcddbccdccccddbadaca
+cadabcabcddaaddccddbdbcdcaabcdddcbddbbcabcdbc
+ccbdcaaadcacacdbaacadddbbdc
+ccbadabdcadaddadbcdbcddaaccaaaaabcdcabdbdccdcacbcbadaadbcbabdddcbbaaaacabcddaabcbbadaaacbcbdbacdabadaa
+cacbccacccbddacdadbadaadccdabacacdacbacbbbacababcaabacababcddccc
+accccadddbbbbbcbcdb
+cbaccdacdadcaaabadaacbdcbbadbdddbbccdddaaadbdcccdcdcbdbdaacb
+dbbcbbbcbaab
+cdcaaabbba
+caaacdaccdadabaacabaadddbaaccccacacdaaaddabcdcdbcdcaacacd
+acabcbbddcbbcdcdcadabddbdacccbbddddddaccdadaabadcdcbbdbcddbdcdad
+babcaccacdbdacdaadcdcabbcadadbbbdbcddadcdbdbcdbdaadbcbaaaacdcccdbcdaabcaadbabdbcbcadddabcb
+dacabdbccaaaadcdcbddddbddbbadadcbccadacdbadd
+babaccabacbabbabaadaacbdcbbcdddbbcbadbcdcccbbccccdaadbaddacaab
+cbbccaacdcabdabbdacacddbabbbaabbbcbbbdddacddddacbbcbbaccaddbbcaaaaccdcbdbdcbbaabdcdcabbbddabdccbbaacbabac
+accabbbadbbcdcabdddacbcdddbadcbbdbccdababcaaddadcadbdaab
+aaaccdbdddacbacbcbdcddbccbdbbcaddcbbcdcbbbbbcaccdbbcbbacaadbaacbbcabacda
+aabaaccbdacaaabdcbddcbabdccbddacdadbdcabdbc
+bdbdbcbacaacbacddbbbaaadccabddaabccbacccdbcddaadbaadbbbccbaadcdcdbb
+acdcccccbaadbdbba
+aabcbcdacdaacdabcdbbddddcaccdddcbcabaddcdadcaaacdacacbccdddbdabdcbadaaddbcccccaaaada
+dbbdacdcac
+baaaadccaddbbacacbbbbaccdbdccbdacbbaabbcdabcacccdadcdcdacccacbdbdccdcdabcdcaaaadbdaccdddcaddbccdadddbacbaab
+bdbdbdbddaa
+addbdbddbccdbddddbccdbbbbadbdbabbcaacbdbdacbaaacaccabdad
+bcaaccccddbdaaacbcbabaadcadcdadaccaadacdbbaddacabcbaaadcbcacabdbbadccdaccdbadcdbbddccdbbbaacabbdcbabbac
+dbaaadaaabbcbaaad
+bbbbbadcccddaabdbbcbacbabcddccacbaacdcdbddaabadabdbcacaaddadcdbddc
+cbcddcaabbaddabddcabaacadaadcaddacdaccbacbadaaaaabbadadbbbbbbcbadddaadcbbcbbdadaba
+acaaaadabaddbadcdacacdcaaacbbbcaccbdccbcddbbddcbadbbbcaadabdaadbccaacdbddbcddacbabbaacbcdba
+aabbdbbbaadcdbdbccacccccdacdaaddaabdacabbcaaaabcaacbaccaccccbdccbdccdbadccacddcccddadcdddabdddbabbcdcaabdbcbb
+acddcddbbbcbdacccaabccbbdacbaabcdcbdbccccadbbdbdddaadcadaaacddddcbdaaada
+daadcdcbcdcbbbddabdabcccbddbcbbddaddabadbacdcdaadbdcddcbbdbbdccdbdbbbcababdabcddabbcbbdbaacadbbdcdd
+cbdddddaccadbabccdcddccabddaddddb
+abddddcaadaccaadccabddbdaddabccbd
+ccdccbadbbcbcdbabdbdcaaabddbcabdcabbddcaabbcdddacdbbddccaddcaabcabcdcddacadddbbddcaaaaa
+ccaacaddbaacadcbcddccdbbdacabaadbbdccdddaacabcacccdbbacccbbacacddbccaacbabccacdbacabdbbdcbcbbbccdcddddda
+abbcacbabdadbabcabccacddbaacdcbcadbbbddcacdbccbcddddccdcbbd
+cdcbdcaabcaabcdaddbacacbbcdabcadadbcdbbddcadbacdacacbdabbadccbbdacbdcbddd
+dcdabcbacdddddadddbcdaccabdbdaabcdccccadbadbabdcdcaaaccaaadaabcadbccdddababdcb
+acbadbdadcbaaacccbbcacddbcbbacdcdadadccdbcddbabcabcabbbdbddbdabcabcbaabbbbcacbdaaaddaacdcbca
+ddacbbdbccacabdddcbcbadaac
+ababacccdcbdddabcdcacdbdbcbbbcaaddbbddaddbabcdcbbbabaaaaddadbdacabcdccdadbddacbbddadbabadcbcddccdd
+cabbacabbabbacacaabdaacddcbcabdddbccdcdbdbaacdaddbcaccbccabbabddcbdbbabcbbdababcdadaccccccdcbacdccbc
+caccdbabcbacb
+abcaddacbabbbcccddba
+ddbbdaddbcdcabbbcabdbbabadacdbaaacbabcaddcbaadbcdcadbdd
+ddbcbaaddaccccdbaabaaadbddbcdbcddbbdabdbabbdaccdccbbca
+acbcbdabbccbbaacdbbbdbabab
+baadcdaccccbcdabdddaadcccbcccdabddccdcaabacddbaabdabbdddabaccbddbcaaabdcbcccaacbac
+dbbcbcaacdddbaacbabbcabcaaccdad
+acdbbddcdbacbabcddccddcbcbbdadcbabcbdbbbadddbcacbcdaddacccdbdccaccdcbbcddaaddaacacbca
+cbcddababbcbadbcddcccbccbdbcddcddbacbdcaacaaabcbbbddccadd
+bbcaabacbbcdabddccbbadaddddcadaabbdacdda
+aaabaaacdaabbaadcaabbcddccaabdbcbbaadcbacdbbcdbddaabbcbcdcdadbccabdabbccdbbccbcbddabadcacccbdaabad
+cdbbccdbcddcdbdccadacbacbbbaacdaccdabbbdcbaabbadcccaabddbbccabcbdcbcabbbddccacbaaaaa
+dccbbbbbdadacdadaddbcdabaabbadbcddbbaabaaddcacdcdadbcbbacabcabbaadbccabdcddcddbab
+bbbcbccdabbbbbbddcaddbddcadccadccbadbbdddcbbbbaddddbaa
+caacddabdddbcdbbbcbad
+accbbbadbccdcbccddbbbcccdccdcadddacdccdcbbbbddacaabddbdcabbaacdadaca
+dbdcbdbbcccdcdcaccbbaaadbcbaccdadbcadbdbacabacdaaabcccccbdaaaabbbccbdbabdbbabbddaaadcaddbcccaabcbcbaacccacba
+baadcbbadbbcaabdcdcccaabccabdbccaabddbabbcbbcabdadbcaabddbdadbacddacba
+cadaadcbbbaabdadabdcbbacacdabdbaaaabdaccdcdbbdaabddadaacccdababccbbbcd
+aaadacdbbbcaabcbcbdbabddbddaaccacddbbaaacacddbcaddab
+dcadcdbbbacbcbbbabbccccacaadddaadccdbdbccaaabacddbddccbccadacbcccdccbaadbbdbaaaddcddabcd
+bcbacadbbcbaaaabdaccadcbabaaacdacabdcabacbbaccbaabdcbbccbdbadaddbbbcbadadaaabdcd
+bcddbdddcccbbccbaadabadbdacbcccdddcdcbacdacccaababccbbdcdcbccbbcadcdcadcbbbcbdbbddaadddacaaa
+aadcadddccbddadcccdbabdadcdcbbcbcccdcbacabbccacaccbdbabdcabbdadaba
+ccacadcbdacbabddbccdbbbdabdccbdbdddbabcbcbbcbabdaddcddbadadcccbbcabcbbbacbabddbccccbbacabcaaaacdabbcaa
+bcdccabbddcbadbabdbbdbbdadbacddbbaadbcccacdaaabbabdcabccdadabbddadbbd
+bcadbdbabadaadccbadcddaabbbccbcabdbcdbcbcbbbacacbcc
+bbaccccabaddcacbcddbdacbbaaccdbddcaacaadcdaddcccdbdbcdddabccababacb
+9 3
+abaacbbaccabbacaabcbccaacabbcaaa
+acabcacbacccccaacccaaccaaaacbacc
+aaacbcacacaabacbabbcccabaaacbcbccbccccababbabcabaacabcabbaccbbabababaaacaacaacaccac
+aaccaaaaabaacaabacbbcaaabcacabbcbcbaaaacccbcbbbcaababaabacbcacabbcabaabcabccacaaaaacaccccacabaacb
+abbacbbabbaccbaabbbbcbcaabbccabacbbabbacbbcbccbabaaaaacbcbabbcabbabcbcbbaacbbcbaabccabbaabccacacabab
+acbcabacbcacabbabbabccbaacacabacbabbacbababbacabbbcbbbcaabbbbaaccabacccbabbbaccabcbcabbcccbcaabcabacabb
+bcbabbbacabbabbcccbabbcbaccbaa
+bcbaaccaaccaaababbacacbcccbcaccccbbbbcbaccaba
+bcabbbbcabbabbabaabccbbccbcacacccb
+233 38
+abaabbbababaabbabaabaabaabbbabababb
+bbbbaabbbbabbaabaaababbaba
+aababaabababaaabbbababaaaabbbbbabbaaaaabbabbabaabbaabbabbaababbbababbababbbababbbbbab
+aabaaaabaaabbbbaabaabbbaaaaaabababbaaaabbbbbbbaabbabbbabaabbbaaabbbbbbaaabbabaabbabbabbbbaaaab
+aaaabababaababaaab
+abbaaabaabbababaaaabbabbbaabaaaababbabbbabbaaabbaa
+aababaaabbaaabaa
+aaabaabbbbbbbabaabababbaababbbaaabba
+abbbbabbabaabbbbbbaabbbbaaaabababaabababaabbabbabaabaabbaabaababbabbbbabbbbbbbbbbaaaaaababaa
+baabaaaaaaabaaaabaabaaaaaaabbabbbabaaababababababbbaaaabbbaabbaabaabbbbbabaabaaaaaaabbab
+bbbababaaaaaaaaaaabbabaabbaaaabbbaaaaaabaaabababaab
+aaabaabababbabbbabaabbbbaaaab
+baaababbbaaaababaababaaabbabaabbabbbabbabaaaabbbbbaaaabaabaabbbbbaabbbbaabaababbaaabbaaaaabaabbaab
+baaabababbabaabaabababababbbabababaababbbaaaaaaababaaaabbababaabbabbababaaab
+aaaababbabbbbbbaabbbabbabaaababbabbabaaaabaabbabaaaaaababaabbbbbaaaaabaabbbaa
+abbbabbababbbaaabbbbabaaabbbbbbaaaabbaaabaabaabaaaababaabaabbaabaaaaaabaaaa
+bbaaaaabbbbbbbbaaabbbbbbaabaaaabaaabbbabbbabbaaabbabbaabbbabaabaaabbabbbbabbbbabaabaabaababaaa
+aaaabbbbababbbbababbaaabbbabaabbbabaaabbbabbaaabbabaaabbababbbabaaaabbabaaababaabbabbabaaaabababbabbaba
+bbbaaabaabaabbbba
+abaababbbaababbabaaabbbbbaabbabbbaabbaaaababbabbabaabaabbaaabababbbababbbbabbaabaa
+aaabbbbabbbbaaaaaaabababababaaababbababaaababababbbaaaa
+baabbaaabbabbbbabbabaababbbabaaaaaaababababbbbbbaaaabaabbabaaaaaaaaabaaababbaabbaaababaaaaab
+babaaababb
+baabbbbaabaaabbbbaabbaaababbaabbabbababbbaababbbbbbbbaababaabaabbbabab
+abaaaabaaabbaabbabbabaaabbaabaaaaabbaababbabbaaababbabaaaabaabbabbbbbbbabbabaabbbaaabbaaabbabaabaaabaaaaabb
+babbbaabbabababaaabbabbaababaabaa
+abbababaaabaaba
+aabaaabbabaaa
+bbbaaaaabbbbbbababaaabaabaaaabaababaabaabbbaaabbbabbabbabbababbbbbbaaababa
+babbbaaaababaabbaababababbbabaaabbbbabbaabbbaabaaaabbbaaaabbabaaaabbbabbabbbbabbabbbaaabbba
+ababaaaabbbbaaaaabbababbaabbabbbbaabaabaabbbaabaabaabbbaabaaab
+bbababaabbbbbbbbbabbbbaababb
+baaaabbbbbaaaaaaabbbaaaa
+baaaaabbabababaa
+bbaaababbbabbbabbbaabbabbbabaaababbababbaaabbaabbabbababbabaaababaabbbbbabbaaaabbabaaaabbbbbbaaaabbaaaaaa
+aaabbabbaaaaabbabbbbaabbbabaabaabab
+aabbabaabaabbab
+abbaaaababaaaaaabbabbabbbaabaabbaaabbaab
+aabbbababababaababaabaabaaaabaaaababbabbbaaaaabbbbbbbbaabbaaabbbaaaaabaabbababbbbbbaaababaabb
+aabbaaabbaabbaabaaba
+abaaabbaabaaabbbaaabbbbbbbaaaabb
+baabbabbbababbbaabbbbabbaaabaaa
+abbbaaaabaaaaaabbbabbbaaabaabbaaaaaabbabaaaabaabbbabbbbaaababbababaabbaaaabaabbbaabbbaaaabbbbbaaabababaababb
+ababaaababbbbbbbbaabababbbbbbaabbbbabbaaaabbbababaaaaaabaaaababbabbbbaabbbaaaabaababaa
+bbaabaabbbaabbbbaaababaaaabbaaaaaabbaabaaaaaabbbbaabababbaa
+aabbbabbbbaaaaabbbaababbbaabbaabbabbabbbbbbbaaaaaaababaabbbabbaaababbbbababbbba
+aababaaaaaaabbba
+aaaabbbaaaaaaaaababbabaabaaabbbbaabbabbbbaaabaaabbaabaaba
+abaaabaaababbaabaaabaabababbbbaabbbb
+bbaabbbaabaaaaaabbabaababaabbabaabbabbbabaabaaabaaabaaaabbbbbbbaaabaabaababababbaabbaaaba
+baaabbaaaaababbbaaaaabbbaababbbaabababbabbaaaaabaabbaabaaaabbabbabbbaabaaabbaaa
+abbaaababbbbbbaaabbbbabbaa
+bbbaababaabbbbaababbaabaabababbbbaababaaabbbababbbbbbabaabaaababababbaaabaabaaaabaa
+aabbabbbbaabbbbaaabababbbaaaabbb
+bbbbbbbbbabbbbaaabbbaaabababbbaaabaaaaaaa
+aaabbbbaabaa
+ababaabaaabbbbbbbabababaabaaaaabababbabbbbbbaaabbabaaabbbababaabbbbbb
+abaabbaabbaaaaabbbabaa
+ababbabaabbbabaaabbbaababaabbbbaaab
+baabbabaaabbbaabbaabbaaaabbbabbbaaaabaaabbabababbbbbba
+baabbabbaababababbbbaabbbba
+aaaabbbabbabaabbabbbabbaaabbabaaabbbaabaabbaaaabaabaabbbbabaaababbbbabbbabbabaababbaabaabaaaaabaaaaaaababbb
+bbbbaaaaaababbbbabaaabbbbbbbabbaaababbaabaabaababbabbabbbbabbbbabbbb
+baabaaabaababaabbbaaabbbbbaabababbbbbbbbaaabbaaabbababbabaaaaabaaaaaabbbabbabaabbbbbabbbb
+abbabaababaaaabbaabaaaaaabaaabbbbabba
+baababbbbbbaabaaabbabbbababbaabaaaabaaaabbbbaaababbaaaaabbabbbababaabbbbaaabbbbbabbaaaababbababab
+babbaabbbbababbaabbaaabbbbaabbababaaabaaaaab
+babbaaaabbabbaaababbbaaababbbabbbbbabaaababbbbaaabbabaabbaabaaabbababbbabbabaaabaaaabbba
+abaabaabbbaaabbbaaaabbaaaaaaaabbbbbabbabbbbbbaabaabbabbabaabbaabbbaaa
+aaabaababbbabbbabaaabaaabbabaabbbabbbbaabaabbaabababbbaaabbbbbabbaabbbbbaaabaaaaabbaaaababbbbbbababbabbabaab
+bbbbbaabaaaabbaaaaabbbaabbaababbbbababaababa
+aaabababbaaaabbabaaaaababbababababaaababbaabbaababaababbbbbbaaabbabbbaa
+aaaabbbaabbbbaabbbabaaaabaabbaababaabbbbbaabbaabbaabbabaababaabbbbbaababbaabbaaababbaabbababaaabbbbabab
+aabbbbbaaaaaaaabaaabbbaaabaabaaabbaaaaaabbabbaabbaababbabbbaabaababaaabbbbabbbaaaba
+baabbbbbaabaabaaaaaaaabbbaabbbaaaabaabaabaaaabababaaaaabaaaabbbaabbaaaabaaabbbbaaababbbbaa
+ababbbbabbababbaabbbbbabbbaababbbbbbabaabbaaaaaaaabababbb
+aaaaababbbaabbbbababaaaaaabababbabbbbbaabaabbabbbaabbaabababbabaabbaababbaaaaabbb
+bbbaaaaaaabbbbbbabbbbbbbaaabababaababbaababababbbabbababaaaab
+abbbbbabbbb
+bbbabbabbabbbabbbaabaaaababbbbaabaaaabbbbabbbabbaaabaabbbbabbbabaaaaaaababbbaaaaaaababbaabba
+abaaaaababbbbabbaabbbbaabbbaabaabbabaaaabababbaabbbabbbababaabbbabbabbbaaaabbaabbbaabaa
+bbabbbabbbbbaabababaaaababaaaaaaaaabaabbaabbbbabababbabaabaabba
+aaaabbbbaaaaabbaaaaabbaaabbababaa
+bbbbaaabbbbabbaabaabbabbbbbbbabbabbaabbbbbbbabbababbbbbaab
+aaabbbabbbaababaaaababbabbabbbbbbabbaaabababbaaaaab
+aabaabbbabbaababbbbaabababbabaababaaabaaabababbaaabbaabbbbbbbaaaabbbbbbbabbabbbaab
+aaaabbaabaabbaaabbbaabbaaabbbbab
+abbbbaababbbaaababaaaabb
+abbbaabbabbbbbbaaabbbbaaababbbbabbbaaabbb
+ababaaabbabaababaaaabaababbbaaaaaabaaaaaaabbabbaaabaabbababa
+babaabaaaaaabbabbbaaabbaabbbababaaabbabb
+bbbabaabbababbaaabbbabbabbaaabaabbaabaaabbbabbbababb
+bbbabbabbbbbbabaababaaaaaaaaabaaabaababbbbbaabbbbabbaabbabaababbbaabbaaaaabaababbbaabbaaabababaaaabbb
+baabbbbabbbabbbaaaaaaaaaabaaba
+aabaaabbbbbbabbabbaaaaaaababbaababaaaabaabaababababbaabaaaaabbbaaabbaabbbbabbababbbbabbbabbbabaabababbbba
+bbaaaabbababbaabaaababaa
+bbbbababaabbbaaaabbaaaabaaababaaaabaabbabaababababbbabbbabbbbbbbabaaababbabbabaab
+bbabbbbaaaaababbabababbbbbbabaababbbaabbaabaabbaab
+baaaabbbabaaaabab
+abbabbbaabbbb
+aabbaabbabbabbababaaaaaaababbbbaaaabaaaababaaabbabaaaaababbbabaaabbababaabba
+baababaaaaaaaabbaabaaaabbababbbbabaabbbbabbababababbaaaabbbbbbaaaaabbbaabaaaaaabaababbbba
+aabbaaaabaabaabaababbabbabbbaabbbbabaaaabbaababaaaaaaaabbababbbaabbabaabbbbbbbbbb
+bbbbabbaabaabaaaababbbbbbbbabababbbbaababbabbbbbaaaaabbabbabaaaab
+abbabaabbababbabab
+abbbbbbbbaabbaaaabbbaaaaaaaaabaabbabaabbbbabaaaaaaaababaabbabbabaabbbbbbababbbbbaabbaababbbbabaaababa
+babbabbbaaaaa
+aabbaaaaabbaababbbbbbbbbb
+baaabbabbabbaabbbbaaaabaaababaabbaaabbabababbbaabbbaaabaabaabbbaabaaaabaaabaabaa
+babbaabbbbbbababbbbaababbbbabbaaabaaabaabaaaaaabaabbbbbbabaabaabbaabaaababababbaababbaababaaabababaaabaaab
+baabaabbbbabb
+abbbaaabababaababbaaabbabbaabbbb
+baabbabaaababbbbbaaababbaabaababaaabbbabbbabbbaaaaaabaaaabaaaababbbaabaabbbabaababababbaabaaabbaabaababba
+aaabbbaababbbaaabaaaabbaabbbabbabbaaabbbbaa
+bbabbbabbbbabbbaaabbbbbbaaaabaaaaabbaaababbabbabaabaaaabbbbbaaab
+aaabbabbbbbababaababbaaabaaabaaabbababbabbbaabababaabbbabbbbbabbbbabbbaaabbb
+ababaaabbbaaaababbabbbbabbbabbaaabbaaaaaaabaabbbaaabbbbbabbbbaaababbaababaaaabbabaababbba
+abbabbababaabbbbbabaaaaababbaaaabaaaaabaaababaaaababbaabaabaaaaaa
+aaababbbbbbb
+babbbbaaaabaababaaaaababbbaaaabaabab
+baabbbaababbababbaabaabbbbabbabbbaaabbaababaababaababbabbaaaab
+aaababababbabbaababbaabbbbbbbabbbaabbaaaaaabbababaabaaababaaaaababb
+babbaaaaabbbbababa
+aaababbaabbbbbabaababaabbababbababbabbbbbbbbabaabbabaaabbababaabbbbbaaaaaabaaab
+aabbaabaaabaabbbbababbaaaaaaaaabbbaabbabbabbbbbbabbabbbabbaabbaababbbbbbaaabbaabaaaba
+abaabaaaaaaabbbabbaabbbbbbbaababaaaabaababaabaaabbbbbaabaaabbaababbbabbbbbabbaaaaababaaabbababbabaaaab
+baaaaaababbabaaaabbbaaaaababbaaaaabaabaabbbbabbabaaabbaaaabaaababbabbbbba
+bbbaabaaababbababbaabbbaaa
+abbbbbbaaabbbabbabaaaaaaabbbbbaabbbaaaaabbbabaabaaaabababaabaabbababbbabbabbbabaabbbbbbbabababaabababaab
+babbbaaaabaaababbbaabbaaabababbaabababbaaaab
+aabaababbbbbabaaaabbaaabbabaabababbaabbabaab
+aabbabaababbbbaabbabaaaaabbbbbbabbaaaabaabaaaabaaabb
+bbbabababbaaaabaabbabbbabbbbabbaaabaabbbbabbbbaaaaaaabababababbaababaaaaaabaabbbbbbbaababaabaaabbbb
+bbbaababbabbbbbbaabaaaabbaaaaabbbbaabbabbaabaaaabaabaababaababbaababbbaabaaaabbabbbaaaabbaabbbbabbbaaababba
+aaabbabaaaaabbbabbbaabaaaabbbbbababbbabbbbbabbbabbbbaabab
+bbabbaaaaaababbabbaabaaaaabbbbaaabbbaaabaaababaaaabbbbaabababab
+bbabbbbbbabaaaaababababababababab
+baaabbbbaaaabbbbbbaaaababbabaabbbaabbbabaabbbaababbbbb
+baaaaabbaababbbabbabaabaaaabaaaabbaabbbaaaaabbabbbabbaabbbbaabbabbbbbbbbbaababaaaabb
+ababbbbbbaabaabaabaaa
+abababaaababababbbbaabbbaaabaaa
+abaaaabaaabab
+bbabaababbbabbbaabb
+abaaaababaaabbaaaaabab
+abaabbabaabbbaaabababaaababbbabbaa
+abaaaababbaabbabaababaabbbbabbaaababaaaaaaaaaaabbaababbbbbab
+ababbabbaabbaaabbaaababbbabaaaaabaabbabaabbaabbababaaabbbbbbb
+aaaabbbababbbbaabbbbbbbbaababaabbbbabbbaabaabba
+bbbbbbbabbbbbabbabbabbaaababbbbaabaaaa
+bbaababbbaabbababbaababaaaabbbababbabaabaaaabbbbababbaabbaaaaaaaabbabbbabbabbbabbaaaaabaabaabaabaababb
+babaabbabbabababbaabaababbabaababaaabbbbaabbaabaaaababbbbabababbbabaabbabaaaaabbbabaaabaabbbaaaab
+bbaaabaaabababaabababaaaababaaaaaabaaaabaabbbaaabaa
+abbaabbabba
+bbabbbbbbbabbbababaaaaaabbaaababbbaaaaabaaaaaabbababbbbbbababbabbbabaabab
+aabaaaabaababbabaa
+bbaabbaabbbaabaaabbaabbaabaabaabbbaaababbaabaabaaa
+ababaababbbbabababaaabbabaaaaabbbbbbbbbbb
+baabaaabaabaaabaaabbabbbaabaabaaabaaaababbbabaabababbabaaababbbbbbbabbbaaaabaababbaaabbabaaaaabbbb
+baaabaababbbbbbbaabaabbbbbbababbbbaaabaababbbbabbaabaaabbbabbabbbbaaabaabbabaaabbbababababbbabbbabb
+babbbababbabbbbabbaaaabbbbabaaabababaaaabbababaabbaabbabbabababababbaaabaaaaaabbababaabababbbaa
+aaaaaabaaabaaabbabbbaabbbbababaaaab
+aaaabbaaaaabaabaaaaabbbaababaaaaaaba
+baaaaabbbaaaaabbbabbbbababbbbbbaaaaaaabbbbbabaaaabababbabbbaaaababbbaabbbbbbabbbaabbbbbabbababbabbbabbaba
+ababaabaababababaaaaba
+aaaaaaaabbbbababaaaabbaaabaabbbbaaabbbbbabaaaaabaabbabaaaabaabbbbabaabbbabbbbbbbbabaaababaabbbbba
+abbaabbbaabbbaabaaabaaaaaaaababaaabbbaaaabbabbbabbbbbbaabbabaa
+bbaaaaabbabbabbbaabbbbbbbababaabbabaabbabaabbbb
+aaaaabbabbaabaabbbabbaabbaababbbbbbaabbabbbbaabababbabaaababbababaabbbbbbbbbbbabbbaabbbaabaabba
+abbbaabaaaabaabaabaaaaaabbbababababaabbbaababbbbbaaababaaaabbbababbab
+babababbbaabbbaabaabbbabaababbaabbaaaabbbabb
+abbaaaabaababaabaabbbaaaabbbbbaaaabbbbbbabababababbaaaaabaaabbbaabbbabbbbbaab
+baaaaabbabababbbbaabbbabbaaabbaabbaabbbbbbabaababaaababbabba
+abbbbbabbbbababbabaababbbabbaaaabaabaaabbbbaabaababbbaabbaababb
+babbaaababababaaaaabababbbabbaa
+bbbaaaaababaaaabaaaabbbaaaabaaaaabbaababbbaaababbbbbabbbaababaaabbbaaaababbabbabaaba
+babababbaababbbbbbaabbababaaaaaaaaaabbaabbaabaaaaabaabbbbbbabbbbabaaa
+aabaabaabaabababbabbaaabbaababaababbaaababbabbbbaaababaaab
+bababbabbbaaabbaababbaabbabaabbaaaabababbbb
+babbabbbbabaabbaabbaaaaabbaabab
+abbababbababbabababaabbbbbbbbaabaaababbabaaaabbbabaaabbbbbabaabaaaababb
+bbababbbbababaabaabbbbbbbaabaaaabab
+bbbaabaaaaaaaababbb
+babbbbabbaabbbbaaabbbbbaaabbbbbbabaaaaaaabbbbbbabbaaaaab
+bbaabababa
+babaabaaaaa
+abbbbaaaabaababbaabaabbabbbbbbaaaabbbaabaabbaabaabbabaabaaabbaabaabbaabba
+aabbbabaaaababbbababbaabbaaaaabaabbabaaaabaabaabaaabaaaababab
+aaabbabbbabaaaaaaaaaabaabbabababbabababaabababbbbbbaabaaabbaaabaabbbaabbbabbbbaababaababbb
+babababbbbabbababaaaabaaabbaabbabbabbaaaabbbbabbbbbaabb
+abababbababbaaaaba
+aaabaaaaabbaabbababbbbbabaabababbaaaaaaabbaaabbaaabbabbbbbbbaabbababababababbababaa
+aababababbbbbbabbbbaababbabaabbabbbbaababbbbabbbbaaabababaabbbbbabbabaabaaabbaaba
+aaabbaabaabaabbbabaaaabbabbbabbbabbaaababbaaaabbbabbaabbbaabbbbaaaabbbbbbaaabbbbbabababbbb
+bbabbbbaaa
+abaaabbabbabaaabbbaaba
+abaaaaaaaaababbbabaabbbbabbaaabbbbbababbaaabbbbbbabbaababbbbbaaaaaabaabbbababbbabbbaaaabaabb
+bbbabbabbaaaabbaaabbaabaaaabbaaaaaaaabbaabbbabbaabababbaabaaaaabbbbabbbabbbaabbabbbbbababbbabaaa
+baaaaaaabbaabbabbababbaaabababbabbaabaaaaaaaabbbaabbabaabbabaababbabbbbbbababbaabba
+aabababababbbabbabbbbabbabababaaaaaabbaabbabbabaaababaaaaabbbabaaabbaababbabababbababaaba
+abbaabababbbbabbbbaabbababba
+aababababbaabaaabaababbbaabbbabaabbbaaaabaaabaababaaababbbabaaaabaaaaabbbbbaabaabbbababbabaaab
+babababbaabaabbaabbbbaaabbaabbaabaabb
+bbbaaababaabbbaaabaabbaaabaaaab
+abaaabbabbbababbaaababbabababbababbbbabbbababbbbabaaababbaababbbababaabbbbabaaabaababbaabaabbaaaabbbbaaaaa
+ababaaaaaaaaaaba
+bbbbaaababaaaaabababbabaabbaababbbababaabaaaaaaaaaaabaaabaaaaaabaaabaaa
+abaaabaaaaabbaaaabbbbbaaabaaaaaabaaababbaaaabaabbbbbabbbbabaabaaaabbbabbaabaaabbbabbbbbbabaabbbabba
+abaaabaabaaaaaaaababaaaaabbbaababbabbabaababbaaaabbbaabbbbbabaaaaabababbbaabbbbbbbaaabaaabbbabbbbbaaaab
+bbaaaabbabbbbaabbbabbbababbbbaaababb
+bbbaaaabbabbabaabbaabbaababaaaaabbabbbaaabaaaaaababbbaaaa
+babbababbbabbaaabbbaabaabababaabaaababaabaabbaaabaaabbaabbbbaabbbbaaababbbabbaabaababbaabaaabababababbb
+babbbbaabbbbaaaabaaaaaaaaaaaaaabbbab
+babaaabbbbbbaababaaabaababaababababbbbbbaa
+abbbbabbababbaabbabaabababbababaabaabbaaaaaaabbbbabbbbababbabbbbbaaabaabaabaaabaabbbaabbbbb
+bbbbbaaaaaabbabbbbaabaaaaabaaaaabababbaaabaaaabba
+baaabababaaaaaaababbbbaaababbbaababbaabab
+abbabbbaabababaabbbbbababbbaabbabaaaba
+aaabbababaabbabababbbababaababbbaabbbbabaaaaaaabbbbbabbbaababaaabbabbbbbbaabbbabbabbbbaaaaaabbaabba
+abaabaabbbbaabbbabb
+baabbbbbabbbbabbbabbbbbaabbaabbbbbabaaa
+bbbbabaaababababbbabababbbabbaaaaaabaabbbbbabaaaaaabababbbaaabbaaaaababaabaabaaabbbaaab
+ababababbababbaaaaaaaabaabababbbaabababababbbabbaaabaaaaabbbaababbbbababbabababaaaaabbaabbbaa
+babbbaabaaabbbaabbabaaaabbabbbbabbaaabaabbbabbabaaaabaabba
+aabaaabaaabaaabbabaaabbbaabbaaabbabaaaabbbbbabbbabaabababaaabaabbbaabbaaabbabaaabbaa
+bbaaaabbabbababbabbaabaaabbbabbaaaaa
+bbaababbababaabbbbaaaabbabaaaaaababababbbaabbbbbabbbababbababaabbabbbabbaabbbbbbaaabababaaabaabbbb
+baaabaabaabaababaaabbbaaaaaabbaabbbbbbababababbabbbbaabaababaaaaabbaaaabbaaababbabbaaabbbbbaba
+bbabbbbbbbaabbaaaaaabaaaabaaabababbaabbabbbbabbabbabbbbaabababbbbabaabababaababaabaaabbaabbbaaa
+baaaaabaabaabbb
+baaabbababaabbabbbbaabbabbbbaaaaabbbabaaaaabbabbbaababbabbaababbbbbaaabaaaaaaabaabaaaaaaabaabb
+baabaaaaaba
+bbabbbbbabbabbaaaaaababbabbababbaaaaaaaaaaaaaabbaaababbbbbaabbababbbabbbaaaaba
+abababbaabbaaba
+214 172
+daddbadccddbcbabbcbadcdadbabcaacbbdbacbcaacdabbbacddbcaaabaddbbdcbbdaabddbcccdcdaaccadb
+bcccccabcccabbabababddbdadbddbaacbacaacaadbdbabcbadcaabaabddaaacdbadcabcacdbaacbbbdaa
+bcddcdddbacbabbdbdadbddaccbccbaadcddbcadbdacbbbbcbadccabdadbdacdccdabcbacbadddcddccbaadacbccbccdc
+aacaddbababcccddccabcdbadadcaaacbadcdcbddcaabdcdbcdcdaabbadacdaddcbababcdcabbaccbadbcdddaad
+cdccddbbcbbbcabdcbc
+bdbabadbdababbcdaacdabdaacabbdadabaadcccbdccaddbbbdbadcabacbdacaaacdcbcadc
+dbbabbaabaddabddbbbbbaaabdacaabccbdcaaacccacccabaaddbdddacdc
+acaacbbdaaadaacab
+bdcdaadaacbdcdadcb
+acbbbacadababaddcdcddacddadbcdcdadaddacbacbcbddcdaddbabbddbadddccbcaacdabbcdbbbcccbcddbcdcabcaadcca
+cacbbdbbabddbaaabadaacdbaaccaabcbbbdbadaaccbbbbcdadadbaddbddabbbadddbddbccbcabdda
+dbdbdabbdcddcdbbcaabbdcba
+adddacdcbcadcbadcddbacbccdcadcaabacacdabdbccdaddadcadddccbccb
+ccdcabbbdcadbacacbcdabdcddacbcdabcdcdbbacbdbdcbcdaacccbdbcccbadb
+dbbdbdacdaabcca
+bcdcabcbbdcddcdbbcba
+ccddbbccbccccccdbddbddbbcadbbadaaddcddcbacbcdabdadcbdccbdbabdcbdcd
+dddbdcdcbddbadaacbaacabadaaaaccccadabbbaddddbcababaddbcbbbd
+abbcbdacbadcddbbdcccababadbbbabdbbcbd
+caaacadcaaddbabdcdbbbaccadcbbdacdcddbddadacbaccbaadbacccaadb
+bcccbbddaacbbabadcdbccbadbcadabdbabcbabcdcddbccccddbacbbdbdabcaaccdacbacdabbddaaddcadaccdacdaaabdaddaddc
+aadcdbccdaadbbcccbdadcbddaabcdabbbdccdbccdbdadcddaaaccbaacdcacacdbddcddbbdbaabddcabccabcadcdcbaaacdddcccd
+cabaddacdbbcaabbbcababcbbaabaccacbdaabccdaddbddbcdbcbabaaaaaadabbbdcdabbaaadccbaaabbadbcbcdaabd
+daaacaaaadadcbbdbdcdccddccdacccacadcbabbbbcabbbcabcbbdbbdacddacbabcbcbdcaddcbdcbbdbbcbabdacbcbbabccabbbddbb
+ccbcdbabbdabcbab
+ddbcbabbccdbcbacacdbbaddcddabcbcbadbbcbdaccabcbcdcabdaacabbdacdcbbcadadcddbcbdaad
+dbbabbaaacaccaaacdbcaaacccadcbddbdbaddcdaaacdcdcccddcbdbcaddbadabcbddaabccabdbbcadaaabddacabbda
+adabbcdaccbcabdcddcdaddbacd
+ddcabdbadababcacaacbbaddaacaabbbcbbacccbbdbadaaaaddcbbccb
+dddadadadaddbdbcccddddaccbabbcaaaddcdbcddbaccdadd
+addaccbccccccdcddddddabdcdaaabddcadacdaa
+bddabddbcdbabadcbabbbccdcdcacaadddadbcdad
+accccbcccbbccccbdadbbcbdbbcbccbabbbcdcddcacbbdccaaddbaccdbcdcacabdaacbdacddadadbabadadcaddbacb
+aabaddcadbccaccacdbdccabdabbbdacccaadbbaabcadbadccddbacdcdddbadbbcdabbacabaccbcdbbbabbaaadbc
+adbbcdbdddabadbcccdcbbbabcdb
+abdbdabddbcacaaddaabbddadcccbbbcadadcacbccdddca
+daabcddaaabdbbddccdbdcdaaabbcabccdabdaadacaccaaccbccacddaacabbbbdaddbbacdbddbdbcdcccdbcdddcabddbaadb
+cdcadabdbadbbdbadadababdbbdbccddb
+ccabccdcbbddcd
+dbcadabcddddbdacccabddacbacadbbcbdacdacacdadabaddadbdcadccccccacbdbbbdbbdbacbabbadaccbcccacaacdddaddbcaa
+bddacbdaaccabaddcbdbbbddbacbbdbdadaaaaacdaa
+aacbbadbbcadadcddadcb
+bdbcbcdcbbaacaddadabdbadacabbdcdbdaababbdcdbbbaabdcdcbdcdcbdadbccabaddcbcdccabcadbabddabbaababaac
+adadabdadccacdbbcdacda
+ccabdcadcdcaddbbaccdc
+abddbdccadaadddbdbbacdc
+aadcdcbbdccaabadbcbdaadcacaadabaacdbcbbcbaacbadbb
+ddbbcdbcaabbabcbcddbdabdacaccbcbaabbbddbabcaddcbbcddcbbaddaaacbcddcbabcbddcdbcccdccaddabaddbbcaddccdcabcbdb
+adddcbdcdbcbcbbba
+aabdacdacabacacddddcdbbbacbbaabdacabaccabacbbbcdbbadbbaa
+bbacabbaaabacddcccbdadaabccbdaabbdaddbcbababcbbbdacaacdcdadcbdcccabdcbdc
+aaaaaccdaabacbaabcccbdbdac
+ccddaabdcddcabacbadadbdcbdacbcdcccbaabadcac
+bcadaddcbcaababccaaabcccccdaabbbbcdacdbbcbcdaccdabbadbd
+bcacdcdaadddcdabbbaccbdaadaadabcbbacbcdaadddbacaddcbaaaaaaaacbadcdbcabcaccbaaaacdaaaaccdcbadaabdcbcbad
+dadaacaabbcbdccacbddbbdcdabcbbbbaaddddadcccccbbbddabbacdaccddbb
+abdbdcbddbdcbabccbbdcdaadaa
+baabdaadddbcccbddabddddadcdcddcddadbbcdbbaaccdbdabbccdbd
+bbaacbcaacbadbaacacbccdabbacccbabacbbdbcbaacddddbabbcabacadbbaddbcb
+bbdadcbbdbdbdaaaccaaabbbaccaadaabaaacababbbddcddbdababccdadccdbbdccbbadabddcabbbcddabadbbdaccdbc
+bdccadcccaaddcdbcacdcccadccbccdbadcaddadddccadabcdaabcabdbbcddaabddbcadddadcaaccdbaddaaadadabd
+caaccbbcbcdcabcacdbddcaddaddcadbbbaadcbddaaaaadcbbcabbcabcdccccadbbbcbcabbbadaddbababdbcbccdacdcbcddccccbbaba
+dcaacdbacddbdcddcccbdbaaaabcbaadbbaabddacbdcadddadacddbadddaccaaddaadacbbccbabdddbbddcabdbbacdbccabbb
+bcbdcbaccbcaadcbdbcdcddaccdbdacdabcadcbdbdcbdbaabaabaabbcba
+ccdbbbaabcacbccbbdddbcaddabcdccbbcbdbbcbaaadcaccdbbbacabbddabdcbcabcdcdaaaaaccabcdcacaaabcaabbabbbcacacaccbc
+abaadbccdcacadbdaccbbb
+bdcccaacadcbdbbcbcaabacadbacaabdcddaacbccbacdcaddbbccbacddcddddcaadccccbddbabcddbacdacdccccbbcdbb
+aadbbadaadbbcaddadddccdabcbbdcdcaaacdcbdbaacaccbbadcbbccabaacdaccacccccbbbdaaaabdbbdbdacaacbabdaccacaddc
+aadcccbdcadaaacbbbcbdbbcacacbbabcbccccbbbadbdcaadbdcbccccacdbcdacbdacaddcdbacbbddb
+cacadbcbccbbdddcbdbcddabbdc
+aadadbbbcaddadcaccdccdbacbabaabccdcadbaabbdbdbdcbcdbadaabdbcdddcbd
+acaabdddacdbbcdaacdadacbddcbbbdadaaacc
+ddcacabccaaabdbbcbddddcdcabdadaabcabcccbbadcaabbabbcaaaccdcdbcbadcbdabccdcbdbcdbdcadcaaadcadaadbddbbcad
+cadabbcccdbadaaadadabaaaabcccacabbabbabaacbbcdaccbaadcdbabdabddcbaddcbadacabacdcdb
+adadbacacacabcbacddaadbbabcdcbdaaababdccaddadbbddbcadaccdb
+ccdcaacbcccacbdaacccabacaaaadcbdcccddbabbdbbdbcabadb
+cadabdabdcbadbbcadaaacccddcaabccaddbadaacacbab
+bbbaacbcaabcaadacdbacdccdadabacccdbdcdbbb
+bbaccaabbbcadabcadbddccabbbbabcabaacb
+adaacdcbacadccdccbaddbccccaabdbdcddbdbcbbbbdaaabacadabbbdcaddbcaddcdaadadaccbddbadd
+ccbbbaddcacbbcbcdcbcccdabddcdacdcdaabadbdbcaabddcdb
+bdbcaababbaaccddbaddacdcabbbdcacaacdabadddbbaadaaccbbbbababdbdbaaaccbaddaabcdbdcbdcaaccdabcdbdcbcaabdc
+dddbddabadbaadbbbdcd
+bddbbaaadbddccbcdadaabacabdd
+bbddccabbdbbbcdcaabdbabdcccaacacadbdbbddcaaacdcdbdbacacdccabbddacdbbcabac
+bbbbbbdaaacaaacbdadcdbdbdbac
+ddcabcddabcacddddbcacabcddacd
+acbbbacadbacaabbbbcabbbbadb
+bbcabacbccdbdbbacdc
+dcbdcccababadcccbdbccddcbdabdbddadcdcacbabadacaccdbcdccacbdcdbcbcddbdbbbbbcbadbddaadadbccdaccdc
+cccbccbabbabbdabacadcddbcdbbbccadcabbddcaddddcbddacccadddcadababcddcbdbaaddcacaabbbcddcddacdddb
+bbababaabcbacbccbbadabacdcbaddabdcdbabdcbbdcdbdbadcdaaddbbcaaadcddadcdbcdcb
+bbbabcbbcabdabccdaabdcbababdcbcaccbccdcdacaadccdbcbcacacaacbaccdaadabcccbadaadadccababcaccadbdcdadbaababa
+adaaaccdadcacacdaaaadccbaaaadbdbbbdbbddcaacabaa
+caaccdbbabcacabbdaabbcbabbacdccadabaadacbacdabbccadbcbaabbaccbdbaabdadaccbcbabdabcabcbacdbbbcdbaddacccddddc
+aaabadcbccdbbaaadcddbbbbbdcbbddaadcbacabaadbcadabbbbdaaacaaacbabcdcbcadacbcb
+dbcdabbcdcddbcbbdddddcdcdccddbdbbbdcdccccaccacabccbdcabdcbddbbccaaaccddaaacacddaadabc
+dcabbacdababdbdcbbcbdbacdacdbabcabdbacaadccdbcddacdaaabbdbaadbcabacdcdbcaabbbddcbcbadacbcdaadca
+adcbbdddadccdcadbabcaaddabbdadddaabbcacbadaaadccbcdbbaadaaaadaccaccdbaaaadbccaaaaabdbcbcdacaac
+ddaabcbaddadbbcdbdacdcdabdabcdbdccacdcd
+ccbacddcbdcbbccabadadadbbabdbcccbbcdbddcddacaabcadab
+daaaacdbaaaaaacaadcccbbdbdabdabbcaacaabcccbabccaabbdadabbdaddaadccacccdbbbacddaadbadd
+cbdbbbbbcadbcdabcbacadacddaacacbccbacadccbcba
+acdabbcccaacbcbcacdaaddddcbcdadbbdbdcabddabacbacabdbddccccacaaaacdaabccbdabbdbacaaccdcacbaddcddbcdabc
+bcdaccccadbdbdcdacbbbaccbcbbbcccbaaaaadcbcacaaacdaacdbcddababdabdbcbddacdadaacccccbbbdbdccb
+cabddcbdaca
+bbdccddcdddaacdbababdaadccccaaacdbbcccabcbbabadcbacccbdcabbabd
+dddbacddbcbbcabaadcbdcdbddabcadaacbbcbadcdbcbcdcdcbdcabbdadc
+bdbbbaccbadcdccbcdabbcabddddccabbccddccaaadabbccbbaaccacaddcbdcdcbbbccddbdcacbccccacbccddbaadcacccd
+bdaabcabcabbddbdcdaccdabccbbbabbacb
+bbbbcbccbcddacccacccadbbbabcddaa
+acdadababdcacadddcdcacbdbdaaadcdcadddbbdbbbcabccdccaddbcc
+adaaaaaadcacddcadddbdcbbb
+dddcdcbddbaddddbabcbbdacdabdccbbcabbdcacacdbcbdddbcacbbaccbbbdcbcabcdddcdadabccdbdaddbcaabbcddaacbddaccb
+cddcacdaabbccdcccaacadbdbacbcdbcddddbcdcbbdddddcaacabdadaacadaaadbcbcadcdbbbbacdbabbabca
+bacdcbccdccaabbbdddbbacbccdadcdacadbacadaadcbcbcbdbbdaddacbdbbbbacdbbdbbacadabaabdcaddccbdaadaad
+bdddaabdaadaadbcd
+dbdbbbabdbdcdcaaacdcdbbdabaacbcbcdccdcaacdcabaabaccccbccabddcabbadbdcabbdccacbcddabdcadbdbaddbacdbcac
+dcbbbcdcbaadddbadcbaaabcabdacbdac
+bcaaaccbbbbaaddcccbdabdabbddacdabbbaddddcdccbcdbdbaadddbacacbaddbcbddbcccdbcbddcadbbd
+cdcbdbabdbacadbaddacdddddaaaadacdddababacbdcd
+aacbdbcbbbbcccbdddaadacbcaddadabdbdcbddbbcbdabacadaaadaabcaccadcbddddbccdabdccaddaabdaadcc
+acdabccdddaaabbacdcabaacdcbcbbbb
+caddbcbdddcaadaaaa
+bcdbbbcdaadaddbdbcbabbaccddddccadccabcbbbaddacbbddcdabdddcdbbabcbbdbdacacdccdcaddcbbabcbcdcbacdbdddcd
+cdaabbaccdbabaaccdabadcccbccaaacdbbbadaabb
+caaacdbcabbbcaaabddbbdadddadbabbcbdcdba
+aaabbaabbbdbbcddddbbcacccadbcadabbaddbcaabdcdaacbdbdbbccccdbaccbcdbcdabdbdbdbaccbbcbcabbbbcd
+cbcbabbabccabcdabdbdbbbacdcbcdacacadcd
+dcbaacabdccdcdcdababcaabaabdbbdbdadddccccbcbbccccbbccdcccbdaabaccadddaabbadbdcacbbacbdcaaabdcddacdbacaa
+ddacadbcbcdbbcacaacbcccbdddadabdbdacbcacbdccccdbbabc
+ccdadccdbbccdcdcbccbddcdadaddbbddadbaccdabcdabadbbabdcbbcaddbddaccbabdadbdbbaacaabdaddcccdc
+bcdaacbbacdbbbbdbcddaadccdadcccdbabbddbadc
+cdacbacddcacbdaccbdaaccaacababbbbccacddddcdddccdbbcbdaabadadadbd
+dabddbcabddaddaccdcbdbcdd
+dcadabccbbbdabbadddabcacbbbbacbabacdcacdcbadb
+ddcbdbdcccccababacabbdbabdddddcacddcabadcbbbbcaaadbadcbbbadddbbcdbccabdbaabcbcaaab
+abcccaabbabcaacabbddbaaaaadababddbccdcacdcb
+cccdcbacbdabacccbcdcbaadcbcbbbbbdcdbbdbcdacdbacdbcdcbccdcaacdbccbcdbba
+aadcbcbdddccbaacccdcddcdd
+babaaaabadccddaaabaacdacabccabaabccdd
+bbdcbbdcaddaacdbdbbacabdabcacbcbbbbcbbddabbbcbaddadaababadcadddadab
+bddbbbdbcbcacbdbcdc
+dadacbdadcdbbbbbdcdb
+cacccabdbcbddaccccdbdaabdaadcdcbadcbbdaacacadccbddbdbdccdabddd
+bbdbddbdcdacbdcacbaccacdadada
+ddacbaabcdbbcbbabdbbccadbdbbbccadcccaaadadcadcabdcbbacabdcbababbbdcbadaac
+bcadcbabadbcaabbdbdabbadbdaddcbbadccddcdddbdcdadcdadabddadaabdbabbccbdaddaaacbdacdbcdcad
+ccaabbbdcdbdddccdcaadcbddbccabadccacaadbccdbacbddaabcaacadcbbbadccadccaadbddcdbaccdbccccbcbacaabbbabbcaa
+adabddaaccabaacbbcbaaddbdabadbbddbabbdcaabcbdcadadabaacbacbdaddababddaccdaddcab
+cdadcbbcbdbddcbcbdcaabacdaccabbcbdbcdd
+ccbadadccbac
+bdbadccaddddccaddacbcaadcdbddbdccababbabcccdbcccdacbdaccacadda
+bbdbabbdbbbbbacbbbbdbdbdbddbcacbabbbaddbadcadaadd
+bdcbabddddaacdcdcdddcbadacbbaadbccdacbbddbdbbdcaaacdaacaccadacbabbbabddbddcbdddcbbcb
+ccaabddcdbaabba
+dbbbabbdabbacbabbadbbadbdcbdcbbdbdcbccaabcadbaadcbd
+bcabbbaaacddcdcddcaadddbcacbcaacabddbddddcacaaddcddbdccbba
+aacdccdbdbaababbcacabbadcadccdaadadccadbaddddbbcdccabbbcdcaacaacabbabddcdadddcaaa
+ccaabdcbdcdcaaabddbbdccbdccaadcacddacbadbcdabbbbbbddcadbbdcbaadcbbcaacddabccaddbdacdacbddccccabdbbd
+cdadbbcbbccbbddbdbacd
+ddccccbcadcdacbcdabccddabdabbdcbadabccbccdbccaaddcadbaddbabbcbddacbdcacbcbdcdbcbaaddcdbdccadabcbccbbadcd
+ccbbbabddddcacccbbdcdacadbccdccbbaabcddd
+dbbcddbcabdbacccdddbcbadccdccbdabbadcddbaaadacabacdbcbadbcba
+bcdcaacccaccabdadbadbcaacaabacddababcbadcadadbaccddacddcbaadcadbddcbcbbcaadadacdcdccdadcdbcbdddb
+ccccdabbdbbaccbabacbbccccddba
+dbabcddaacaabbbccbacdbbacdddcdcdbabaddbbabbaccadca
+dbdbcdacccaabaabdccddaaacdcbdcabaabcbabcaaaccadccddbccbcabaaddbaaddbdadabcbdcbc
+ccdccaabbcaaabdcbdcdbcddbbbdccabbdaabdbcccbbdbbabddadcbcbcaa
+bdccdacbbdccbbccbddaddddbccadabbcbddbbaabdbacbabbdbdbcdbcbcbcbddaaccaabaabdcdcbabcdbbcaabbddbaddabacd
+addbdaaabdabaddabdbbacdbcbdaacdcaccdbcbaacccaabdcadabbabadbbbdccdbaadbbbadbbbbaccbabbbaa
+addbbdaadccbdabdbdccabcdcddbbacdcbbcccdcccaadabdaad
+ddbcdabbbcabddcddcbacdbbaaabdcdcacbadcaabbddadbadcbcdbacddbcddcbdddbddadbabacdbdbcdbddacbdadcbabdcc
+baccbccdbbabc
+cdaccdbccbcb
+cbbddbcacb
+cbadabcacdcbccbaadbaababaadcadbdccdacbcdbc
+dccaccacdbddbbb
+ddbaababcababaccddccadabcbdcaaadbccbcdcbadbacccabbbacdbbbabbbaaacbcaaccaabbcaccccabbca
+baaabaacbabaccbccddcccccddbccaadaccaccdbdabbcdcdccdbdbbcadcaaabdcaccdabdddcdbbcccbabb
+ddddacacacdccdbbdcdadcadcabccdaaddcabdcaaaabccbcdccbaaddddcabdcdbaaabaaabcbabbbaddacadcbdcadaddbdccdadc
+ccdbbdcdcbcdccaccadbdddcabaacacabdacbadddaaabbabbaabcaaabbaccdbdbcddcbdbdcaacbbcdb
+bcccaacadbaadcada
+acacdabbcaadadaccadca
+cdddaadbdaadaddbbcabcbacbdacbbcddbdabbadadbaadbcdbbdaacbacbaaabadaaadbbabdccdddbddaabcddbbcbabdbcbaaadb
+ccbccdcadccccdcbaaadbcdabbabbbccddccddcaccbdabbbbbddaabdadbacaacab
+adbacbbbbdd
+bcccccbcbacababddadcbddacbaca
+caacbababcbadbddcadabbbdcaccbbabddcbdaadaadbbbcacababdcbbbddabcacdcdddabbbdbccddcbbdddddbcccabddabcdbdbcdcdcb
+bcdaaaabbbdabddca
+cdbbcabbcbaadddbcbcbdcadcbaccddaddcccadb
+cbabcaacaccdbddaadabbdabcbddcbcbbbadabdabccdcaaabcdaaddbbaba
+acaddbcdbbbdacabcabaaadaddbcbadcaddabaddccbccddcddcdbaaddcadaadbad
+ccbcdbcddcbdadcbdbbab
+dacdccdadccadcbdbcacbbcababdbdacaabcccdddabacdaccdcbaaaadbddcadccbcbbdacdbbabdbcaadbc
+cbcaacdaccacaadbcadccbbcaadbbbdbbddbbdaabbdcccddaddabdaccddbbabdcdcbbbbadbcdddadcdccaadbad
+acddcaddadabababbabddbdcbaabdaabcaccbadcdccdddcaddbcacbcdbdbadcdcacddddcdadddacadddaaddbbabbbaabbcb
+adbdadacdcdcabdcbdadcaadabaddcadbdddbabcdadbadaaa
+ccccadcdbdcbbccabccbabaadaaadaacadababdbbaabcccbd
+acdbadcbdacdbcbabdbdcdcbbdccbbccbab
+dddcdbadbccbbbdcbcbcdacddaccabddbacbadadacbdbabdccdcdcacacbbacdbdd
+baccadcdaacabcdadccbcaaadcacaaddcdcdaaadacdabcbbdbadaadadacacbdadbcdaccddcabcdddddccccbddadcdbcccc
+cbaabdaccbabdcbdccabbbadbbccacdcbbbcaabdcbddbddbdbccdbacbddabdcaadddbccbccbbacadadababdbcccbdbbbcac
+caaaabcdcbabbcbbcccdacaacccbcacdbcacaccdcbcbddcabacbddbdaabdcbacccbcdccdbaadbcacdbbbaddaaabbccadacbcb
+cdcdabbbdddaabdaaaadacdacdabababaccbbdddadabbdbdcdccddcababbbcacdaddddbacbcdcbccaccccdddd
+acdbacccadaaddbdddbcdbcadcacadbbcbcadaacbbdadbbaacdbaddddcdaccadbaaabaacba
+cccbdcdbadadbddaddcabddaaaaacaabbacbbcabdbdcdddccbdcbbcddddccaaccaccdcaaad
+caadbbadddccddddcadbaabaabccaaddabcdabaaadabadcacacbdbccbbadcbdcadbd
+aacabbadccbdbcaaacccabcd
+dcbbabbcbdadabbdabbaadadac
+cbcbdbcabddcbcddcdcbaddbdccbadabcddbddd
+bdccaaadbdabcdbbdadcddbbcccddbdaacaaaabbccbdbccddcbcccacbabdaadbacbbbaadacacddddbdaadcadbbaacbadcaab
+abbbaadaabbacbddacbcdbbdbcccadcadacdbbaaddaddbcbdaadcdabcacbcdbadaddb
+bbbbddddcccbbbbabccdbbdbcacacdbbbbaddacdddbbadcddaadccaaadccddcdaaabbabdcc
+297 258
+aacacabcbaacccaacbacbbccbacacbbbbcbcbacaabb
+baaacabbbbbccababcbbccaacaacbbbccbcaabc
+caaccccbaccbbcaccbaacacccccbaccccabaacabbaba
+bbaacbacbcbacbcbbbaccabbccccacaba
+abccbcacbbbac
+caabcabaccbacbcaccccccbbabacccababaabacabaababacbbbabacabbabaacbbbaccbcaabccbcbcabbabbacbcbccc
+aaaacaccbababbabcccaabbabbbba
+abacbaacccacaabaaababacbccaccbabcbbbccabcabbbbacabbcc
+bacbabbcabcbaababccabaacbcccaccbbacbbbccbcbcacbabc
+cccccbbcbacba
+bcbccaacbbbcbbabaccaababacabaaaabaaccaccabbab
+bcaacccbaaaaccbbcaaaacbcbaccaccccba
+aabcacbaabaababaabbbccacbbbbabbbccacbbcbcaaacbcacabbcccbcacbcbaaac
+abcbaabaaabcaaabbba
+bcacacaccbb
+cabccbbacbcaccbcbcccbacbaabaaaccacbaaabbbcbcbccccababcbbcaacacabccabcaacbaabbbcacccccabacacbacbbbaab
+ccacaabaaaacbbbbccacaaccbbacacbabcacbcaacaabbcacacabbcaacabca
+acabbabcabccabcbabacbacbaccbaaccaabaacccaaabbaaacbcbacabcaacbba
+aaaaccaaacbbbbcbabccccabcbbccbc
+bbabbcbbcccababacccbbabaaabbbbbcacaaabbbbabcccbbabccbbbcbcbcaacacbbc
+aaaccbaaacbccbccaabcbcabaacbccccbbcbbbaaaaabbcbaabbcaccbabacbcbbbcccbcbcbbbaabaccccbbababbabbcacbbcabbbbbbca
+ccacaccaabaacabccaabbcbccbaabbcbcccabbbabcbcccbcbaababcbcbbcaccbbbcacbaabbbaaaacacbcbaa
+abacababcbabbbbcacbcaaacbabaaabaabcabbcbbcabbcacacacbbbbccbaaccbbbcabcccacbbaaa
+aacabbbbaabcbabccc
+acaacbccabcaaacbbcbabaccbaaabbaaabcbcbbbcbcacbcacbbcbcacaabacabbbaaabcbacb
+cabacabcabbbbccabcbacabbbccccbcaabababcaabcbcbccccccacaacbbccccacbaabcbccbbabaabcbccbabcbc
+cabcacaaacbacaacbacbbabcaababaaaccbaabccbbcbbccbccbcabbcacabc
+acbccaabaccccbabccbbaccbcbbacabbcabcaacbbaaabbbacbccaccbbcbcababcbbcbcacacb
+ccbaaabcababcacaaccaacbaaaaacbcab
+bcbcaabaabcba
+caaabbcbbaccabcccbacacabbbacccbacaacababaaabcaaabaabccbaaacabbcbbbbaaaabccccaabcaaaccacb
+ccbbaabcbba
+accbaabccabcbcccbacbacccaaaabbbbcccaabbaacbbbcbcbcabccccbbaaa
+cabbcaabcbcbabcccabaaababbcabacacbcabaccabbacbcaabcccb
+abaacaabaacbbbaabcaacccaababaacaabbaaaabaab
+aacbccabbcaaaa
+ccccacacaccaaacbbbcccabbcbaacaaccabbabbaabacbbaaabaacb
+abaacbbcbcaabccccbccbaccbbbcbbacacbbabbbaaaacbbcacccbcaaaccbbcabacbbbabbbcccbbbbbcccabccbaac
+cbcabbccbaacaabbbcbbcbabcabbcbabbaaaacbabbcacaccbabccbcaaaabbabbbabc
+ababacacbcaabaacbabbabbbcaaacbccb
+aaabbbcabbbcbbabccbbcbaabcaaabccbbccaaaccbbccbcbacccccacbcbbccaacaabbbccbc
+bbbbccbaaacabaabbaacbbcbacbcccaaabcbbcbccbcbca
+caacbbbacccccabb
+cabcaabbbccbbccccacbcaccaaaababcaacbbabccacacbacbabcbccccabbbacbacccbc
+ccacbaababaacccaccaabcacbccaaacbbbacbbbababbbabcaabbcacbabbbac
+bccbcbcbaccbaacaaaccbaaccabaccabacabbbcca
+bccaaabccabaccabbbbccaccacababcbcbbabbcbcabccbbaba
+ccaabaccabaccbbacbbcccaacaaccaacbbbaaabccbabbaaacacbccbcbbb
+bbbccbbbbabcacab
+accbabbccbcacbacabcccbabbaaabcbbcaaccbbaaccaaaca
+aacbbcbbccccaacbcccaccbacccbaabbccb
+cacbabccaaabcbccbacccaacabbccaabccacbabcaaaabbbbba
+cbcaccacbbacbcabbabccbcbcacbabcacbcbbacbcabbaababcaaacbbacbabbaaabacbbaccc
+cbacaccbbbccaaabcbaabbacccbabcbbcbbcbaccabbabbbcccaacacbbaccccccaabcaabccbccaccccbcccabbaabaaabaaac
+cbacababcabbaacbcccbabcbcccacacbabcacaabcaaacbbababbbaabbabbcbacbbcaaaaacbcabbbabbaa
+bcaacccbacabbcbbaaabababbacabbcbbaaabaaccccacbaacbbaacaaacbcbccabbbbccaccbccacbabbbcbcacabbbaabbaabbaccac
+cccaabbbababcaca
+acbbccbbcbbcabbbcaacaccccbacabbcbcabbcccbababbabcaccbbcaca
+caaacaaacabccaaacaabaacacccaacccbcccbbabbbcca
+bccbbbabababbbcbbccbcacbcaacbcbbbaccbccabaccacaabbbcbcaaaabccabaaaabcbbaccbcabac
+baacbbbbacabccabc
+aaaababcbcaaccacccbccabbaabcccabbcbcacbbabcabcbccabababccaccccacb
+accbcabaabbccbcccacababbbbabbccabcaacabbccbbacaabbcccabcabacccaabababc
+bcbaabaaacaacababbcacabbcbcbacbbbcacbacccabcabacbaabaabcbbcacabbbc
+accccaacca
+baaabcbcccaabbabbcbbaacbc
+abbbacccabcbcbaccacbacbbcccccaccbcbbbbcabbccaaaccaccbba
+cbacbabcaabcccbabbcbbbacbabbaccbaacccbbabcaaaccacabacbcbacabcacccacaacaaccccbaac
+caacaaccaaaaccac
+acbccccacccabaccccaaaabbccaabbabbccbcbcbccbacbabcbbbbabbccbbbbbcabaaaacbccabcccccbbbc
+baaccbcccaacbacbcaaaaaaaaccbcabacacbaabcbbbaabacccbabcaacccabaabacabcbabbbbacbcbbabbcccbbcbaaabaabbc
+abbacacbbbaccbbbbaccbbaccabbbaaabbcbbcccbcabaabacbbbccacbaaaba
+ccaaabcbaabbbbcbaacbcbbabab
+aabaaaccbcbbbabacaccabababccbbbbaaaaacacb
+cccbccaabaacbabcaccacabacabbbaaaaccacbacbcaccbababaabcccbaccaacaa
+bcabcaacbaababbaccabaabcbcbbaaaccbccacacbaacaabaabbaaccbabbcbabccabcbbaacacabaabcbbacaabcaaaacbcaccaa
+accaaccababccacbccbcbb
+babcacaacccbcccccaabbacbbcbcbccbcbcacabcbabacabacaaababbbbacabcaacbabccbccbca
+bcbbabaaabbabcbcbcbaaaccacbacacb
+acabbccccbcaaccaabacabacacbcbcba
+cccbbaccccbacbbab
+bbacaaabaabcacabbababcbbccaacaacaaaaacbbbcaabcbcaacbbbaabcbbbaababaa
+abacacccacacabbaaaacabbbacacccbaccc
+cbacbbccba
+bccbacbcabaababbcccbbcaaababcbbabbaaacacbcaabaacaacbcbbcccbbbcbaccbbaaccbaba
+ccbbbcccacccbbcbacaaababbccacbaaabbbbccbacbccbbccbbabbccacbacaccccabcbabacacabcabcbbbabccccbbaaaccccccaaca
+cabcaacacacbbcbbbaaaacaacbbaacbcbaccabbccccbccbcbaaacacaaaccabcaacccbabbb
+bbcbccbcbbccaabbabbbbaabcacaaabaaacabaacbbaacbccaaaccccacbacaaacc
+aacaaabccabccacc
+bcbbabaabcaacaabcbaabcbabbccbaaacbaabcabcaaccbbabcccaabbbccccacbabaaacccccbbbbacccbcacabaaaacccbccacabbbaccc
+accaacbcbabbccbaacaaccbbbccabcbcabbbaaabbbcbccabcaccb
+aacbbabbbcbccbaabaacbcccbcbcacbaaaaaacabcbbcccbcacabccaacbbbacbbbbbcabcbbbbbcabaccacccbacbbbcabac
+bbbacaaabacabaaaccabacccabacaacbaabcacccbccbbcbbacaacaaccbcbbbabbacaaabacbcb
+cccccaacccaacccaaaababbabbacacccbcaccccabacbbcaccaaccbcbabccbcbbcacbcbbbcbbbccbaacc
+cbccbaabccbcacbbccccbabbacabcaacccbaaccaaccaaabbbbcaac
+cccccaaabacccbabbbcacabacabccacbbcbcabbbccbcaccb
+baaccbaccaabcaacbacbbacaaacacabbbacacacbbbbcaacccccabbbbacbcacbacacbccaccaaaabccacbaacbbbaabaccc
+ccacacacbacbbcaccbabbaabaaacbabcacaaabaaccabcacacabbcbbaccccabbbcabaccacbbaacbbbbabbaaacabbabcacbccaabbcaba
+abcbcbcabcc
+bcbbccccabcaaacaacbbbaaacabccbccccbaacabacaabaacbacccbaaacaccbacbabbbcccacacccabacbccababaab
+bcccbcbbacacbabccabccbacaccbaaabcbbccacbbabccabbcbaacaacbaaaaaaabccbbabcbacbabccbcbcbacb
+aaaacaacbbaacccababbccabcbccbbcacacaaabcccbcca
+ccacacaabcacccbcccacbabccaccbbaccb
+babaaccbcbabbabccaccccacabaabcabbccacabbbabab
+aacccacaacc
+cabacbaabcbabaaaccccbabcbbaacaaabbacbbbcbbbabbcbbcbcbcbbbbcccbabbcabbcbaaabcabcacababaacbcaabbc
+abbaabbcabbaabbbabacb
+cbcabbcaba
+cabcacaacccaacbaacbaacccccabc
+baabbabbaaaacbacaaaaacccbaccacacaccacaa
+abcabababccbcbcaccacbacbacbaccacbbbccacaabbcbcbcabbbaaaabacaaabbabbcacccbbcbccab
+cbabbaabbbacbcabcbbaccbccbbcbbcbccbabcbccbbacbcccaaaaaaccccabaacaaaaaaabbcaccbbabacbbcabbcbbbacbbc
+accaabcaaaaccbccaabaaacacabcaaacacbaaabaab
+cbbaaaaacabcbabcbacbbbcabbacccccccacacbaabbcbcbaaabbacacbccbcaabaaacbbacabababbca
+abaaccabcbcbbbbccbbbbcbcbcbbaaccbbabaaaaa
+bcacaacbacccbabbacccbaaacacabbcbaccaccabaaabbbccaaaccbcabcccbccbbcabacbbcaabaacc
+abcbcacbcaacccababcacccaababbaacaaacacbcabcbcccbbcbcaaccbbbbbabaccbcabbbacbccbcbcccbcabaa
+baabaaccabcaacbbcacbccacbbcaaaababacbbccabcccbbaaacabaacaabcaaaca
+cabaabcaacaaaabc
+acbbbccccbabbbaccccacccbcabcccbccabaaccbaacc
+abcccccaacb
+bcaaacbbbaacabcaabcacbababacbaabbbacbcbacccbabcaabaabbcbabaaaccbbcabcbaaccbccbacaacbbacccbbcbbacbacccabbbb
+acacabaabaccccbaacaaccabcabbbc
+bcbccbccccbccbacbaacaabccbabacbbcacbccbcabaabaabbcabaacbcaaaabaacbabcbaaaccabbcbbabbbb
+aaaaabbcccaaacbaabccbbabbcbcabbaaccbacabcca
+cccabcbbbcababacabacaaaccabbaccbabaccabcb
+ccabababaacccabbcbabbacaaaaabcaaacabcbbababaaabcbbbcaabaaaabbbcbaabaaabbaccabaacaababaa
+bbcbcaabbcababccabbaaaaabbcbccaaccaccbbbbababbcbabbb
+acacccccaaacbcabacbcaaaacaaccabcbbbbaaaaaaaccabcabcabbccbbcbbabaaabababacbbcbbbaccbcbbbccaaccaccb
+abcbbccacbcaccbaaaacbacbaacaacabcbbbbbaaabaabbaaaacbcbcacaababccabcbaabaacabcbcbbaabacacbabcbcccaaccbbabaab
+caabbbbbabbbccbabcacccccbaccbbaaac
+bcabacbaabbababcbcbcabbcbabacbbbbcbababbbabbbbcacaacabaabcaaabcabaabcaabbacbcbcaaabbbbbbbcbababbbcc
+abcccacabaacbbabbbbaabacbbaacacba
+caccbaaccacbbaabcbabaccbabcbcbcabaaaacccbaaabbacbcbabccaacbbccbcbccbabcbcaaacb
+cbcacbabccccbacccacccbaaacbcc
+abcbccbbaa
+acbcbcaaabcaaccabbbca
+aabbccaccabbabaaacbabbabbbacccbbcaccabbcabacacabccbbacbbccbbbaabbaacabbaacbaccaabcbcab
+acccabbabacababcabbcacbacbabcacaacbccbacabcbbbbcccacbacbaccbccbcbcaccbbacb
+aabccaaccbacabcabacaabcabcbcbbaaababcccacaabacbccacababaac
+cccacbcbccaacbbcbacbcaaccbaaabbbbaacbbacaaabaacaaccbbbbbabccbcbbaba
+bacbcbaccacbbcbccbbaccbaccaabbcbbccccbcbbacacbcaaabccbcaccbbaabcacaacbababcccbbcbcbaaba
+babacbaacababaabbcbcbbcbccbcbc
+cccaabccbccbaabcabbbbcbcaaacccaacaaaacaabcb
+aabbbbcabaababbcbcaaaaaccbacabcbbcbbbccbccbbbbcac
+cccacbcbaaaaccbacaabcbcbccbaababaaaaaabcaabccaacaabbbccbbabcbbbcbccabacbbccbaabbbababbaacaccabbccbcaccacccac
+ccaccbccbcabaabcacaabababaaabacccbcccbcacbaabccbacaabbabcabaabbabbaacbbccbbcabbbaabaabaababccaa
+abcacaaabbbcaccbabbbcacacbabcccbcabccabcababccbbccabaaacbbbbbcbcacbbbcbcbbcabbacccacbbbabbcbaabacc
+cbbbcacacabcabbcbcaaacbabbababbbaacbcbccba
+cbaaaabbaccbaacaacbacacccbbaabcbabbcaabbcaaaabccbbbbccbacaacbcbabb
+aabcbcaccaacbaaaabbaccbabbbabcbacaaccaaaaccccbccbacbcbaababcaccaaabacaacbbcbbaaccacabcabcbacacbabbccccbababc
+accbcbaabcccbccbababb
+acbccbabbbcaccacaccaacabccbaaabbabcccbaabcabbcbbbbccbcbacabcc
+babbbacbbabbbaabcaabcbcbbbcabaaaaabccbbbacababcacaacabcbc
+cacaabcababbaaabccccccbaccbcbcccbbabbaabababbccabcbbbabaccaabcacccbbcacbaaaaccbaacbaccacaacbaabbabacabbbabcca
+bcaaaccbbabacccaacaccabaacabaa
+cbbcaaacabacabcbbcbbaacacaababaacacbbbbbabcaa
+bccbaaaabacccabbacbacaaccbbcbbaaccaacaccbbaaabaaacbbbbacbccbccaaaabcbbaaabcabbcacbbabaaaccacacbbcaabbccaa
+bacbcbbccabbccbcabbaaacbaccbbcccbccaba
+bcbcabbbbaaaacaa
+cabbacaccabbbaa
+aabaccbcbaacbaabcabcbcabcccaaaccaccaaccaaabbcbbcaacbacbbababaabbbbabaccccaaabbaccaaaabcbacabcbccbcbcba
+bcabcbcccaaccbbaabbbacaaaccbcacbcbcabcabaccbbaabbcbbabcbbcbaccbb
+bcbaacbcabbccaabacacbcbabccbbbcabbabbaaaacbbaabbaccaaccbaaba
+cabccbacbabbacacaaaccbbbabcaabacaabcbccaccbccbaacacacbbbbbaa
+bbcbbbcaabcbcbabacacaaaaabcbcccacaabcaccbbbaabcaccaccccbcababcabbcaaccbacabaaa
+aacbbababbcaaaaccacbbccabcaacb
+aabbabcbaacaacbaabcbaaaacccbbabccbccb
+ccacccbcacaaaacacaaaccbbacbcccacbcacacbacaccccaabbbccccbbabbaaccacacabbaccbcbaaaaaccacbaccca
+cacbaacacaaccbbabbacbbacbccacabbaaccbbcaaa
+bbbabbbcbabbcccaabcbbccabaabbacaaacbbcaa
+bbccbcbabbaaacabbcaacaaaacaabaaacacbbbbabaabaababcabbabcbacbbccacbbabbaccabbaccbbbccaacabab
+abcbbaacaaccabbbaabbcbabbbbccbbbcabcbbbaccbbcaccbacabcaccacccabcbabbbcccccacaccaababcc
+cbccabbccaccabbabbcaccaacabbcbbaacaabccacaccccbbabbbaacaacbbaabcbcccbbcaabcbacbcbbbabaaccbaacabcabbbacccaabca
+baacabbaab
+ccbabbbbbacbaccbabbbbbcccabbbcbacaacaaabcaacbbabbcaccaccacccacac
+bcccbbcabcbcabbaccccabbbcaabbacccaabcaccbaaab
+acbacbacabcacbababcbbccbbabcccaaacbbabcbacabaccabccbbacacabbbcbabaacaaba
+acbbbbcbaaacccbcacccbbabbcabbbaaacabbacbbbcacccbccaabbbabbbbacacaaaabccbbcca
+cbcabbaacabcabcbbaaba
+cccbbcbbbcacabaccbbcbbabaaabccacbbaccaabcbccbcaacbbcbbacbcbacabbaaaabbbccaacccaabacbbccacbacabab
+acbaaacbcabbbbbbabcbaacacccbaacbaaabbabbacaababbcbabbbaccbcaccbcbcbcbaccbaacaacabbababbacbb
+acbcbabacbababcbccbcacbccabbbccbcacccccbcbaaababccbcacabaaabcbaaaacbcccaacbabaccbaba
+aabcbabaabccabbbababbbabbccabccacacbaacabbacababcabccaaaacbaabacabaabaaacccbaabbbabc
+cacbcababbabbababacabcaccabcbcbaabbcaaacaacabaccabbcbabcaaccaaabaccbacbaccaccacbbc
+acbcacaaaab
+caaacabbbbbacaaaa
+caabbccccabbaaccacbcaaaccbccacaabba
+bcccccabbcbbaaaabcccbabbabacbcacacababcbcbabcb
+abbababbbbbbbababcbbaabcca
+cbbcccbabcbabbbbbcbbbcbaccbacccbccaccbbcaabbcaaccaaa
+bcacabcaacbcacbbcbacccaaababbb
+abaabaacabcccbaabbacbbcccbaaaabccaacacbabbabbbabbcbaccaccba
+bcaccacbbaabba
+baccaaacccabaaaccaaacbacccbcbcc
+bcbbbacaaaaccbababcbcbaaabacbbccbbacbcbcacbaa
+abbbabaaaccbabcabaccaccbcbacaabbbabacacaabbcacabaaabbbab
+baccbabbbaccabacaaacbaababacbaaabcbbcbbbacbbcabccbacbacaccbacb
+ccaccccabbabaaabbbabbaccaacabaabbbcbcaccbabbcacccbbbbbbcbccacaaaaaccccb
+aacbacabcacababbbbacbbcaabbbacaabbbcbccaaaccbcaacabbacbaaabbbc
+bacbcaaabaaaaabbaaacaaacbcaabaabbcbccaaabcbbaaababbbcabbbbaaacabbbcbcacccacccabbcccaacaaa
+aacbacabccacaabaacabcacabbbbbabbcbababcbbaaabcccbacccaaabbbabaaaaaacbbccbbaaccaccacccbcabccccccb
+babcbaaaaccbbbcbbbccbabaacacacaaabbcaccacbbaaaabbaabbbbabccbcacaacbacccbbbabcabccbbcccbabacbbcacbcaac
+cbaabaaabacbaacbaccbbaaccbbacaabccbaccbcbcbbabbaccabacaaaccabbccbbcbbbabcbcaaacbbacacbbcaab
+cacbbbbacabbbaaacaccabacabcbbcbbbaacbbabaaacb
+bbaabccaacaaacaacaaaa
+bccabbbbccabcaccaacba
+baaacaabcaacccccccbcbbaaac
+bcabbbabaabbbbbbaccbcacc
+bbccabcbbaacbcbaacccbacaabcabccacaacccaabaabbbcccbba
+abcccccaacbcbabbbcbbacaccacbbcbacaccbccccbabacbcccbccbabacacabaccbcc
+caaabaccabccaababcbccababcbacacbaccbccbcbccbbbacbbbaabaccacbabccaccbcca
+aacbabbcabbcbacabaacbcaaabcbaaacccccbcccbacbacbaaabcbabaababcbca
+bcaaabbcbaacaacbbccabcaabbacbcccccaaccbcbacaccbcacacbcaaaccabbaabbcccccaccabccaacccbbcacacbcbabcbbcbcb
+cbcbbabbcbaacccbaccaacbbababccbabcaccbaaccaabbbabcbaaccaccbacbabbabbbccbcacaccabbaaaabcaccaccabcacb
+bcccbabcabcacaaabbbaacaaabab
+caaaaaaaccabcaaaaccbcbcbbaccbbcbbbccbbbacccbcabbbccbcccbcacbbccbbaaaabaabcabccbcbbcbaabacbaaaaab
+ccbaacabacababcbccbabcbccbbbcbcbaabababbacbbcbcccaabbcacbbaacaacbabcbcbbbabcbaabbabccabcabaabcbccabbbac
+caaaacbbccacacbcaabbcbababbaaccccaaaccacbacaacbc
+cbccbbbbabacaaaabcbcabcab
+cbabbacaaaaaaabbaccacacabbccaacbccbcacaccbabcacccaccac
+bcbccabbcacacaacacbbcbbbcbacacaccccabcbaabcaabaabcccccbbabbaaaabaa
+ccccacbccbbbbbccacacbcabccbbbacccbcbacabaabba
+abcbccbbbcbaccabbac
+aabaccccacbcaabcaccbacbabcbaacccbcbcabbabbbbcbcbaaccbbcabacbcaccbbbbcccaabcabacbcaaca
+caaccbbccbcacacacacbcacaabacccacaaabbcbcaaccabcbcbbabbccccccbbccccbbbcacaaaaaacbc
+abaccbcbcbcacccabaabbcacbcaaacca
+bacbacacccbcccabcbabbccbbabcaaaacabbcabccbcaacbbbabbbbaabaacccbccbaabaabacccaabcaabbcaaabbbbbaabccbbbbb
+cbbbaababaaccbabbbacbaaaccaccaaacacacaacaabacbbcbbbcabcbcabbbac
+acaaababcbcbcbccbbaabaaaccaccaaacbbaacccabaacbcabaaaabbcabbaacbcacaccacbccccbbccaccbb
+bccaabcabbccbababacbbbbcabcaaaabaaaabcababbacaaacaaabbba
+bbccaaccbbabccbaababaabacababbbacaabbcaabaccbbacacaacbb
+cbbcbacccbcabbbccbabaacabcbcabbbbcc
+aaaababbacbbccbaaacacacabcaccabccabbbcaababcbaccaacacccabccabccacbbcaccbbbbbca
+cccabccccbbbacacabacbbbbccbcccabccaabbcbacaaccaabbabaccababccbbcbaacbcbbccacacabc
+aaccaaccacbcbbacaaaacbbbabccabcbcacabcbbbbacabbbabcccababcbc
+abcbaccaaaccbccccbcbccacbbcabbbaccccabaccccaaaaaccaaccababcababcaabcbbccbcabcacbacbacbbbccbccb
+bbaaaabcacaabaabbbca
+cabbbcccbacbbbacbbabbccbcababaaaccaaacbcbcabbbccbbcbcbbbbabbbbcbbcb
+acbccbcbcaaacabbbbaacbcbbcbcbabaacaacaacbbbccbcaaabcacccacbabacbbacacbbcab
+bbbaaaabababcaaaabbaaabbabcacbabbccaccacbbcacbbccacbbcbacbcccacccbacbaaabcccbbbcababbbccbbcca
+aaabaccccbcaaabbaaacabbccbcaabaccccaaabcbbcaac
+baaabaacbabcacccabbccacabaaaabbccacacbccaaabaaccbaaccabaaabcccaaccccbbabaaccaaccaabaabaccabcacbaabcccc
+bbcbabaaaaaababbbbbbbcaaabbababacacbbbbcccababcabc
+bbbababccccbaacaaabaabcccbbbcbaaaacccaababcacacbbacbbaaacbabcabbabaaccbaacbcbaababbcaacccbacaabaaaacbaaccbb
+bcbababbacccaabbaccaabbccacacaccababcaaaabaaabccabacabcbbbaabbb
+cabbaabaaacbbbcaaacabbbbbccbcaaccbbbacacccccbaccaaaa
+acccbbcababcccacaccbacabbcaacabbcaaabbbcbccccaabcaabcbacbcbccabacbccbcaa
+acbcccbcabbbaaacccbaabbacbccaa
+acabcbcbaabcccccbabbaacaacabccbbaabbacaaaacbaccbcbbccacababacbbabaaaaacbbbabcbbbaababcabbbabacaaabcaaa
+acbaabcabaaccccccabbabbccbaaabaacc
+abcacaabbaccccaccabbbbbbbcbaaccabac
+bbabbbbcbacabaacbcabcaaabaabacbabcccbbccaaccbcccbacbccbbbbcacbcaacbcbabbcaaababaccbbcacccccaca
+bbaaaaacbbcbcbbabbcaabbbcaaca
+bbbbababaabbcb
+cacbbbccbccccacaaababbabbccaccbbbabbbbcbabbbbaabcaaabaccccccbbacaccbbbbcb
+bbccabcbbbbccabbabcacbaabaaabcabbbaa
+bacccaacabaabcabcccccbcbbabccccbbca
+bbbbcaababbbcbbabccabaaacabcbacbccbbcccaccbbcbababaccca
+bbcacabacccccacabcbbaaabccbbbaaabcbaaccacbbcbaabbbacababcbcaabbbbcaacbcaaaac
+cbaaaabccacaaccbccacaacccbabccbb
+cbbbcabccbcbbbcabcbccccbcabbbabbcccccbbbbbbbcb
+abccbaabbccabaabbbaabcbcbbbccacbbcbcacbbaa
+ccbbbaabcbbbbbbaccacbabcccaacccabcbbaaccabbbaccaabbabbccacaaabacbbcccb
+cbbbbbacbccaababbcccacbaabcaacabbbcacaaaaacaaabc
+acabacaabbabbbacccbcaaabbbbbbabbbaaacbacaccbcbccc
+cccccaabcabbcacbcaacabbbcbbacbbabcbbabbccbcbcbaabbaabacbbbbbbbbbaacabbc
+bcbcbcabbbaccbccabccbabbacbcbacbabcabbbaacbcbbcaacabacabbabcabcbacccacaccbacbcbcbbbaabbbaac
+bcacbaaaccaaaaaabcbbacacccccbbbaabaaaaaaaabaabaa
+bbbcababaacccbcaacaaccacabacaacbaabaccccaacbccbacab
+ccbabbaacacacabccaccaaabcbbccbaaacbbcabccbcccacabbaaacaacbaabacbcaacabbccbccbccacaabbababcacbacca
+aaabababbbcccacacababaacbabcbc
+bbcbacbacacaabaabcabcccbbacaacacaaabacbbcbcbbababacbaaabcbcaabbcba
+cbaccbaabbccccaccbbbbaaccbacabbbabacabbcbbaaaccaaacacbcbbcbac
+babcbabbcccbaabcbacbccbaccabccbbbaccacbcbbcacccaccbbcacaaa
+baaabcbccccacbbccacccaaccbabbcccaacbaaabccccccbcaabcacaaaaccbcaabcaabbcbcbbbbcccabbcaacacb
+aaccccacccbcbcbbcccacacbbc
+accacbccccaaaabaacbacbbaaaaacacacacccbc
+bbccccaccbcbccaabbccbcaacabbbbaaababbbaaaaabacababcaacbbabcacabcbbbbbccbaaaacbaabcabcccbabcbcbbcab
+acbccabccabaabccaccaaaacb
+baaaccbaabcacabbb
+aacbabbbbcbbabccccbccaabaacaacbcbbaabccbacbcbcccbcabbcacaacabbcabbbcccaaabaa
+acbababbaaabccccabacacaababbc
+baccbccabcaabbaccabbccaaacacbcaaabcccbbcacaccccbabaccccccbcacbccbbaacabca
+baacacccbabbcbbccaaacaabbccabccccababbcbbaabcbccbca
+aacaabbbbabbacbcacbcbbbcbbabcaabbbbccbababcbaccabbabacaacaacbcacccc
+cbaccbcbabbaaaacaaaaccccacbaaaaabccabbcabaacaaababacaabbccbaaacbcaaaaacbbcabacaabbbcbababbbc
+aacaacaacbabccacccbbbbcabcacccacabcbaacbabcbcbcccaacbccccacbabccbcaacbbaabbcbacbccbaabaaccbaabccacbaca
+abbbccbbacccaabbabbcacbcababaaaabcaabbcbccababab
+babccccaacaaaccbbcbccabbbabaaaabbbaacbbbaccbaaabccbbaacbccaacccaaaaabacbabcccabcbbaaabbabbcaa
+cccbcbbabccacbcacbcaababcacabcaaca
+bccacbaacbbcbccabcaccbba
+bbbccccccababbbcccaaa
+accbccaabbccbccbcaabaacbcbccacccbcccccacabbcbbcabbaacacacbbcbacbacbbbbbbbccba
+cbabbbaccbbbacabccccaccabbcccbcaccabbcccacaacbbacbacbaacaccaaabbabaccaaabbaabcbaabccccbaaaabcbcccbcabccccbb
+ccabcbcababaacaccbaabcababaaababcbbcbababcabbabcaacccbbbcbabcbabbbabaaccbbbaacaacbba
+bcbcbaabbccbaaacaaaabbabacacccab
+20 3
+acbcacbacccbbaccabcbaaccaccbcacbcacbccbcbcbacbbcbacbbabbbacccaabbaacccabbcbbaab
+baaaacccbabcacacccbcbabbaacaccbaaaaccbcaaccaaabaaabbaacbcabbcbbabcccabbbbccacccbababbbbbbaccbaaccbcaaccbcbcaa
+caaccaacbabaaaaabccacaabbacbbccbcccabaaaccbbccababaaaccbbaca
+ccaaabbaabaaccacbbcaacaabbbcbbacbacbcbbcaccaaccaacbcbabcaaaaaaccbbbacacccbcaabaaaccbcaaaabacbb
+cacabcacacbabccaaccabababacabbacacaabbbbbabbacacac
+bbacaccbbcabcabbcb
+ccacbaccabacccabcabccbabcc
+abaccbaccccaccaabcaaccbbcbcaccccabaacaacbbbcabbbccccaaaacaaccaccccbbacbabcababcb
+cacabcbacaacbcbabcabacbabaaacaaacaabacbacabcabbaac
+ccacabccabcbbbacabcaababcccccbbb
+bcbcbbbaaccbbaacbbbabbacacbbbabbaaaaacccacabbacaabcacbbcbaabcabcabcaaabbcacbcaabbaaabbcabbacabbabbcaabbaaacb
+acbacbcabacabaabaccacaabaccaacacbbbccbaabaababccbacaacbcccabbcbcabaabcbbcbabccaacabcbabb
+acbbccbccbbccabbcaabcaabccaacabbb
+bccacacaabaabcaabaabbcaccacaacccbabcabcbabcbbbaccacababcbbcbcaccbcbabca
+baabcbcbbbac
+acbbcabcbccbbcbcbcacbbaabcbaaacabaaabbcaacacabcabcccb
+acccbbcacabccac
+abbababbaccbcbbcccccbbaabaaabaababaacbbcccaaaacbbbbcabbbabcccaccaabcbaccbcccbcbbbcacbcaccaaacbccbbc
+abbbccabaacacbbacbaabacbbabcaabaaccaabbcbcccbaababcbcbbccbca
+bbbaccbacbbaaaccbcbcaacccbcbcacabccccbc
+228 164
+caccabaaaa
+bcaabbcbbcaaaaacacbbcabacbbbbbcbacabbbccabaacbbbaabccccababaaaabacbcccbbbcbaacbbaabbaccaccbcabababacaaabcc
+bacabaaacacbaaaaccababbaccbbbcacacabcacbbcabbaccaabccaacaccbccbcaaacbaabaacbcabcbabacc
+acccbbccbbacbacaabccccbbacbcbcacaababbacaabcaacabababcbcbccbcc
+ababcaacaacccbbcbcbabaccaaaaaccbbbabbcccbcbccabbbaccabacbcbacaaccbcaabaaccacaaccbbbbacababccaacababbbbbbb
+abaccccacccabbc
+bbacbbbcbbbbbbaacabcaaccbabbcbcbccaacbaabccaaacabbbabbabcaccacacabcbbbacccbaccccc
+abbbbbcbcaaabaabbbbcbbccccabaaaabbabccbcbacaccbcaaabcacbcbcaabccbbcaacbbcbacbc
+aacccccaac
+aaacabacbcacbcaabacbabcaccccbaacaaaaccaaaaaaaaca
+bbccbacccbbbabbcbbcccabcccabacccaaccbbabccaacabaccacabbabacaacabacacccccaacaaababacbacaabaccabcaaacbbbcaa
+bbcbbcbbabbacbbaccbaccbbccbabccbcacababbbc
+cabbbaabbababacabcbbbacccbbcbbaabaabcccacccabbbaacabbccbbbccacbcbbacbcaabaaba
+ccbaacabccabaabcbcaabcbabbbbbbaabcbcacacccbbabaccbcacbbbbacacc
+cbbbbababbcbbcbcbcbbcccbcccbaabbabbabbacbabbccabaaaaaabcaacbccbbbabcbbbbcaacbcacbcbbcbbccbbacaacbbacab
+aacbacbccbccabbaaacccaacacbbbbabbcbccbacbbccc
+aabcbcbbacacbccaabccccbacbbcbcaabbaaccbbbcbcaacbccabcabb
+bbabcbacaccbcbaaacbacbbbabcccccbbccaabacacbcaabcbabbacacaaacbcacbbbaaab
+cbbcaabbbcaccacacbaa
+cabacbbaca
+cbbaaaccabbbbabaababcccaabcaab
+cccabbbcaabcbc
+cbcbacabbabbccabccabbcbabcbccc
+bcaccaaaccbcbccaccbaaacbcaabaccaaaaccaabbcccbbcccaacacbcba
+bbabbccbcbcacccbcbbccaccccbcabcaccabbbccabccbbbaccbacbbaacbac
+accbcbcaccbbcccacbabbbacabacabccaccbacaacca
+bbacbbaaaacccababbacaabbccbaaccaccbcacbc
+cacbbabbcabccabaaccbcabccbcaccaaaabbccabbbccbcba
+abaacbbcbcbbaccbcaaabccccabbbbaabbcacababbaaaabccaabbaacbcbcbcaccbcbcbbbbcacbc
+bbbaccbcbcccbbaabcaacaccbaccccb
+ccabbcccbcbaabccabccabcacacbbaaaababccbbcc
+bcacacbcacabbcbbacabcccbcabcaacacaabacc
+baababaacabbbabbbccacacabbabbaaabbbbacabbcbccacbccbcaaaabccaabcbbacbcccabcabccabbbcaaaabaabcbabaaa
+acbcabbaacccbacaccbaacbcca
+baaccbbbcbaaaaaabcabbbcbacccababccccccbbbbcbbcccbabccbbbbacccaacbbccaccaabccaabbabcccaaaaaccbaaaaabca
+acccbcabbbcccaabbbcbaaabcbbbabacbbaaaacaaccaacccbccabacacbccaaaacbabbccaaab
+bbaabcabbccbb
+bccbcabccb
+bcbbbcbaccaacacaabbcbcbb
+accccacaacccaaaabcabccccbacaabbbbbcb
+bbcabaacbcababacabbabcabcbbbacaabacaaaccccbbbcbbcba
+cccbcccbabcccaaaabaacbacbbacaaaabbbcbabccbcccbaabaaabca
+aaabbcacbbbacabccbacaabccabbacbcabbcccaababcaabbaacaacabccccbcabbbcccabaccccacababbabaabbca
+bcbcbacccbacacbaaaccabacbbabcac
+ababbabccccbaabccbccbccccaaaacabacaaa
+accbbcbcbccaccabbacbcacabaacbcba
+abccbcacbcbacbbbcaabcaccbaaaaaabaacabacccbaabbababacaabbcacbcaccaaabbcbacbcbbbaaaabacbcaacbbbcbcabaccaa
+aabbbccbbbaac
+ccbacaaacaaaaccbacccacbcbcbbaabcacababccaacbacbacbcccc
+cbaabcbabcabccabbabbbabbbacbabbccacccabccbaaababccbcbbcbbcbbcbccaaaacbccccbabaccacabcbc
+cabacaccbaaacacaacaabacaabbbaaabbbbcbabcbaabaacabccaabbbbacccabcaaac
+acabcbabacbbaaacacbcccbcbcabbbaaabaacbaabcbaccabacbbccccbaaaacaaabaacbacccaabacaaccaacabacabbbbcbccacccbcaccc
+aaaaabccbaccaccbacacacababbcccacbcbbbabccccbbcbabaacccacaccbaccccbcaabbbbbaccbcbbac
+cabcabaababcaacbcccaababbabaaaababbabcbbabcbacbacbacbbcbcbbaaacacaaabccbacbaaaccbbccabbcbabaaccaacbabcbbc
+bbcccacabccbbcabacbccacabbabccacbbbabcbbbcbaaacabccaaacbabbbccbbbbcbba
+bbcababbbacbcbabccaabcbaabaaacaaaabbbabcbbaaacbccbbacababcacbcaabcabcbbccabcbccbcaaccccaa
+cacabaabacaaacbcc
+bccabababacbbacbcaaabccaaacaacbaacacbbccabccb
+bacbacbcabbbbcacaccabaccbccbcccaaaabcbaa
+acbbabccbcbbbcccaaaabacacbbcaaccacacabcabccacbcacaacbbaaaacacbcaaaaaccacbbcaacbcaccaabbbccbabbacaa
+accaccacccacba
+caaccaacababcbbcbbbcbcbabbcabcccaccabaaaabbbaccacccbacbaccabbacccaaacbbacaac
+bacaccabcaacabccaccbbacaccccbcacbaaaabacbccbccbccbbaabacaabbbaccaccbbcabaccbccbcc
+abacaaabcacccccaabbcababbbabaaccabbcbabcaabbbbccaaaccccccabcbaabccaacaaaccbbccccccbcbccaaaaccaacc
+ccbaccaaaaacabbcbacbcbcacccbbaaaaacccaabacabbbbacbbacacabbbaacccaaccbbcbcbbacbbbb
+aacbccababcababccabcabaca
+acabbbbbcbacbcccbccbaacaccacacbaaabbcaabcbbbacbccaabccbabccabcaabcbbbabbcccbbbccbabcbabacacbcaacbcaacacccbbb
+bcabcbbcabaccbcacccccacbbccacc
+abcaabbcbaaaccaaaabbcbabaccaacccacabcaaa
+acacaabcbccbaaccccbaaccbbbacbaccccacacabbbcccbbbbbbaaacbbbbbaaabbaccacbac
+bbaacacccbaabcaab
+cbbaccbcbccbbababbbbbaabcbbbaaacaaaccbbcbacaabccbbacbcb
+caabaccbbcccabcbbaacbbbbaabaa
+cbaacbacabcbccabcbbbcbccaccbbabbcabaccbcaaccacacbcccbacbccbabaccaaabbbbbbbaababaccabbbbabaabbccbbcbbcca
+caaacabacbabccbcccaaba
+acaacbbabbccccacbbcaaababbabcbc
+cabbbabcbccbcbabbbcbacbcbabaabcabcaacbaabaabacbbcabbab
+cbcabcaaacbacabcbbacacaabbbabbcbcaabbbbacbacacabcccccaaaacbaaccbbabcbcabcbabbaaaaaaabcaaacbccbaaaacbabbcacac
+aaababaccbcbababbccaacaccacaaabbacababccbcccbbbcabaacbaaac
+cacbaacbccbccbbccbaac
+acbbacbabcbcaaacabbaacbcaaccccacbabbbabbaabcaabccccabccbababaabbcbcabcccabccabbbcaccaccacabacaabccabbca
+bcbbcbcaacaacbacccaabacabaacabcabbc
+accbacabbabaabcccabcbbccacbbabccbaccbbbbcaaaabacbbaacccabcccacbbaacbbbcbcbcaccabcaacccaabc
+baaaabbacbbcacbb
+bcccbbaccaab
+babcacbbaaaababbbabacababbcbcbcbaaacbcbabbcaacbaabbbacaaaacbbbcacccac
+aabaabcbbacbcacaacaaabbacbaacbabbcacb
+bcbbcccccacaabaccbcabaabacbcbcbcbabcccabbbcbabbaabcccbbbccaabbabcabababccc
+cbcabaabcbcbcbabcacaaaabcacbbacabaccbcbbccbcabcbccbccbabbcbbabbbacacbbabbacbbbccbccbcbbbcacbaabccbbcbba
+cccbbaacbbacbbbabaaabcccbabbc
+aaaccacbbbcababbcbaabccacbaacabcbbabaacccabbcbacacccabcaccbcababcbcabccbcacbabababbabcccaaac
+cbbcbcbccccbbacbacbccababcbcabbaaabbaabbaabaabacaacacac
+accbacaaaaaaacaabbbcbbccaabcbaabccccccaaacbcbbbb
+caccccaabccbaabbabbaabbcaabaaaabbaccaabc
+bcaacccbcbccbaabacaaaabaaccab
+bbabbbcacbbcaccaaaabbcabcbbbbbbbbcbbabcabbac
+aacabbacbacacbbaacaacaaccbcbcbcaababcbacb
+bbcbcaaaabacaaacabacbcbbcabbbacbaccbaccabc
+cbcbccccaacabbabaaaabccbcccbbbcabcaccaabbaacaabaaaccbaba
+aaaabacaaabbbacaacabacabcbaabaaaccabccbaacabcbbccabcaabacb
+aabccbbacbbbbacbba
+ababababaccccccaccbbbbcbcbbccbbcc
+abccaccbacbca
+cacabccabcbcbbcaaccbcbacccbacacccbbcbbacaaabcaccacacbaaccccbbbaaaacbaaaa
+abcbabcaacbcbbaabaaaabbbcbabbabaacabcbcacaaaaababcbcccaacbbbbcbcbacbbbbbcab
+bacaacbcbcbcacabbcbaaaaacabcbbbababacbbcb
+cbaaabcbacacabaabbaabbacaabccabbcbcacccaacbaabcabcbabcbcacccacacbbcacbbcabbbbacbacabcbcaaabaacccccacabcbab
+cbcbbacccccbcbcbbbbbbabbbbabbbabbcbabcbacbcbbbaaabbbcaacaccabcababbbcbcbbccbbbacab
+acbbaccccacbcccbbaabbaaaabbcbaabbaccabcacaccaabcbccacacacaabccccbacaaacaaccaaaabcbc
+abacababcbacaabcaabcccacaabcbcaacabcaccacabcac
+acacccbbcccccbcbccaacbcaaacaacacccbbabccbbbabaaccacbacbcbbababcbc
+cbbcbabccbcbbabbbabbaacaaccccbbbcaccacacccababccabbacacbb
+cbbabbaabbacbcccaaccbbcbcaaccbcbcbcbcbcbbacbbaccbbaccccaabaacabbbbbabbcbbacbbccbbacabbbccba
+bcabbbbbabbcbcbaacaaccbacacccacabcbbacaaabbbbbabacccaaccacbbbcacacbccaaaaccabbbaaab
+bbcbabbccbbbcbccaacbbabcaaacbaababbbbbcbbcccaaacccabcbacbbabababcbacccccbbbaaabbccbcacaabaccaccbabbbaccaac
+ccacabcbaccacacbbcbcbcabcacbbaccbcbccbbaaabbabcbbabbcccccbacbccabbbaabcbcaccbcaccccacbaaacababcabbabcacba
+aabccbcabaaaabccbcbabacccbababbcccacabcaccc
+acaaacbccbbaabccabbcbcbcabbacccbcaccbacccaaaccbaccacccbabbbaacccba
+cbcbaacaabbbbbbabbacbbaaacaabcaccbbbbccbbcccbccacaaacacbbccbbbccbbcabbaacacabcbcaabccbbbcccbab
+bbbbaaccaabcabbabcabcaababbbcaababababacccbcacaccbacaaababbaabcbaacacabbbabacaaacbacbccccacabc
+aacacabbbbacabacccabcacbcacbaabbabaabbbccaaababaacaabbaacbaabaca
+acbacacabbacabcccbbbccabbaacbbccacbabcbaaccaacaacbaaccac
+cabcccbccccbccaabcbbbacaaab
+cbabcbacacbacbbcacccbcbac
+acabbcabbcabaabcabcbccbbabacbcbbaccbbcaccabcccbabcccacababcacbccabacccbcbcac
+caacaaacccaccccacaaabaccbaacabcacccbcaaacacbabbccccccbbaabbcbbaabacabacbaabcacaabbacaaacabbcccbabbaa
+cbaacaacbaabbaacacabbbcbcacbabcacbacacbcbbabbbcaacbbbabcbcabbabbaaccacaaacaccbbccacbcbbacccbcacac
+bbbbccbcaccaaacaaaaacaacacabacbccaababcbbaabaaacbacacccabacaabaabcacbacccaacbccacb
+cacbcccacacacbabcabbcbabb
+bbcbcbcccabcababbbaabaacbcbcaccbbbacaacccaaaaccccacbcaabacbcccaaccba
+acbbcbabbbcbbaaaaaaaccabcabaaabcbaaaabaaababaabbacacbaabcbacbabacabbaccabaabababa
+cccccacbcc
+bbacbbbabaabbbaaacaabbac
+ccbabbcaccb
+accaccbccabacabbbcbabbccbcaacaaaaaaccbaaaaabbcaccccabaccbbbbbaaacccbccbabbcbaccbcacaaabcabccccccbcc
+bbcbbaaccccacbbaaccabbccbccbbabcacacaabbbcbaacaaab
+acbaabcacbbbaacacabbcbbbaabcbcbbbabcacbcabcacacacabcca
+bcccccabbcbcccbaccbaabaacbbbcabacabbabababacaaccacbcbcaab
+cbaacbbaabbbcbcbcccbabccbacbaaabacacabcbcbacccaabbaaabacaababbbacaccbabcbbba
+bacababbbaca
+babbacabbaaabbbaaacbccbccbcacacbabbacbacbbbcabcacaabcaccaccccbccbbaaabbaccbaacaabbbcaccbbbbcabcc
+abbccaacabaccbabbb
+baabcccbbcbcbababbbcbabccccabacabcbaaabcbbcbbabcacbcaaaaaababbaccbabacccccccbaacaacaaaaaacbbccabcacabcccbbcbc
+bacccbbcbaaabbbbbaccccbabacabbabcccccbbcabbbcacacbaaacbbcc
+bacbbbabcbaacaccabbccacaa
+cccaccccaaaabcacccaccccacbbcacbacaa
+aaabbacbacaaccbaacccaacbaaabccccaccabaca
+cabbbcbabbbbbbbcbbabbbbccbabbabbbbcabcaccabaab
+ccacbacbabcaaabcbacccaabacbbcbabcbbccabccaabbbccccbcbaa
+abcccbbcbcabbacbabbacbabbbaaabbb
+bccbbcbcccbabbcaaacbbcacacbaacabcaaccabcbbbccbababacbcaaccbcbbaacccbbaaabccba
+cbbaccbabcbbaacbccccbbbacacacbaacbcaacacaabbbcbbabababaaacbbbabbbcacaccccab
+bcbcbabccbbbcccbcacbccaccccbcbaababaacbacaacaaaabbaabcabcababcabbaacacccaaaaccabbaaacbbbbbcbcacc
+cccacccacaacccbcbbcccc
+aaccbaccabcabacabcabaaabaaabacbabbcabcbcacabcbcbcbbcaaaaaacaacacbbbaabccabaacabacbccacbabcccbcaabc
+bbaaaccacabcbaaccbacccccbccbcbbbacbaabcccaaacbcaabbacccccaaaaacbbcbabcacaacaabcbbbabccbcbcab
+cbcbcbaacc
+bbaabcaaabbbbbccccabababccbbabcacabaababaaccabcaaabbbcaaaaccccacca
+cbabbbbcbcbbabcbacabac
+aacaaacbaabaacaabccabacbcbabbacbbccacbacaacbacaaaabcbccbbaacabbb
+bbaaacbcabaccbababbababcbbcbcaababbcba
+accccbbabbcccabcabbaccccabcbbcaabaacbbcaaaaaacaaacbbaaacaaaaababbaca
+bbbacbbabcacbabccaacbaaacbbcaaaccaabaaaabaacbbcbccabcbaccaaaccbcbbaaccbccbcbacbbacaccccbbaabcca
+cabbccbcacbccaaccccbbbccccabbbaabccaaaacbbaacbabbbbcaabbabbcabcabcabcccbbccabbbcacbabacaabcacca
+bcabcbaccaaacbabbaacabcbabbabbcaccbaabcbbbbaaaccaaca
+caabbbcbcabaccbbaaabbaaccbcbcbaacbccaaabbcbbbaacaccbbbbaccaacbbcbbccaaaacccbcbc
+bbcbacaabbbacccaccaaabbacacaccbbcccabcacaccbbbccbbbaacacbbbacababcaccaabccacaaaccbaaccbcaabcacbbcccbbcca
+cabbccaacabaaccccbbcaabcabaabbbabccacaaababcbcc
+acbacabaaaabbcabaacccacbabacaaabbabbbabaacbcccaccbccaccbb
+bbccccbaaaaaababcaaabbbbbcbcaacacbaccacacacacaccacabccaccbc
+abaaabaccaaaccaabcbbcaacbabacbbbcacabccbababa
+cbababbccacbcbacabcacbaccacaccbcaacbbcac
+cabaccababccabaacbaabaaabaaaaacbaabcbaabbbbcaaaaabcacabaaccbbacbbacbcbabccacabbcbcaa
+abcacababab
+caccaacacbccbbabababababbaacbaaaacccaabbabbccbbccbabaaabbaaabaacbcbbccabacabbcbccbaaccbbbbcbacac
+cbcccbcaacacaaacacaacababcabbabcbccbcaaaabaacbcabaaacbcbbabcbabccbbcabcacbcbbabcacaaabcbcbbcabbbacaba
+cabccaaaccaaccccbcabccbbccacbabbcabbacbaccacac
+cbccabacaaaccabacbbc
+aabcabaabbacbabccabaaccbaaacbcbccbcccbaacbbbcccbacaacabaaacbbabaaabccccacacb
+cabccabacabbbcaaabbbccbccccccacbaccabcaabbbbbcaaccbcaaacbc
+cbaacaabacbaabacabcccbbabbaacbaaccaaaabbcbabcccabaaaaaaccaaabcacaaaabbbbcaaaaabaabcacacba
+bcacbabbaabbabaacaacaabaaccabcabbbbccbabcbbbcababbbacbccbaccac
+aabcacabbabccacacccccacbcacbbcaacccbaababacaacccaccabcbccbcbabbcacacbccacbaaab
+caaccbaabcacaaaabbbbcb
+cacbcabcbaaaaccaccabbcbcaacabbbcabaabbcbaccabbccacabaaabaabcaaacbcbcabbbcacccccaaabaccbaccacb
+aababbacabbabcbaabcababcabbcaaaaaaaccbaacbcccaabcabccbcabbbbacacccbbbcaccabacabcacbcaccbbcbcbcccacaacabcbbba
+ccbacababccabbaccbccccbcaccccaaabcbcbacbbcbbbbcbbab
+acccbbbcbcccbababcbbbcbcabbbbccbabbabcabcccabbabccbabbbccacabbcbbaaacbaccccbacb
+caacbcaacbccbbabbbbabcaababcaababbcaacbcbcbcabcacacbcbacbb
+cbbcabcacbcabacccaaacacaaacabbccbaabcbccbaacbacaccccc
+ccaaacacabbbbbcbcbbaabababaccbaaabccbacccbacabbbbbbbbcbbbbbaaaabaccaccc
+babbabbccacaacbcacabcabbcbbabcacabbcccbaaccccbaabccbccabcababcaaaaaccacaccbbcababaabab
+ccbabbbacbabaaaacbacacbaacabcaaccaaccbccbcccacbcabbcacaccca
+bcbcbacbabaabacbaaacbcbbcacbabbaabacaccaccabcca
+acbacbaccbabbccccbcbcbcccababbbcaccccccaabaca
+ccbbababcababcbbbbbbabcbabbbbcbacabccaaacbcaabb
+aaaabbcbaccccabccaacaaabbccacccac
+ababbbbbcccaccbaccacbbbccccaaabccaacbbbabccbbbbbaabbaaaacaaaabbcaacbacccbccabbcb
+caacccbaccbcaaabcabbbaaaccabcaccbababaccabbbccaaccbccaccbaababcacbabccbacacccabacaaaccabacaabbbcbaaaa
+aaabbaabbbbababcbbbcbaccaaabbabaabbababcacbaacaaaacbbbbbccbcbaabccaabbaaacbaabaabcbccacbabbb
+aabacacaaacbaacaaccbaababbbaccbcbacbbacaaacbbcbbcbaccbcabbbacacaacbabacba
+accaabaabaccbacbaccabacabcbcbaccccbabcbbbbcaacbcacabccabaab
+ccaababacbcacacccccacaacabbccbbaaccacbbaabccaaccccaaaac
+bbaabccabacaacabcccabbabacaccacbcbcbcbabbabbcabacbcacbccaccaacaccccabbcababaaccccabaacbaabbabcacbccacbabb
+cbacbbcbcacbacbbbacc
+cbabbbbababaaacbccbbacbbcabcaaccbccccbabbccbaccccaacbbbaabcacccacabaabbbcabcbcabacaacacbbbcaa
+caaacabaaabaaccbacbcbcbbb
+acbaccbccbaaccaaabbbababacabacccbabcccccbabbabbbbbbcabbaacaaaccabccababbbbcabacaccbbcacbabcccaaccba
+cbbbabbacbacbccaabcacacaabbabcacaccabaabcbaaaacccabcaaaaccabcabbbbccbcbcbccaabcaabbcac
+ccccbaaacccaabbbcababcabbaabcccaaaaca
+cccccaacbbcabaabcacabcabbaabbacccbbbbaacbcabcabcaabbcccbacacbaabaabacaabbacbcaaaa
+cabbaccbcaabbabaaaaacaaccbbccbb
+acabcbbcacaaccccbbccbabaabcaacabcaabaaabbbccaccbccabccabcabbaabbbbabbacb
+bcacbcbccbbcabacbbbaabcbcaabbcaaabaabccbbbbccaaababaabcbcbcbabbbbbbacbccbbaacaccbabc
+caaccccccbbbcabcbbcbbcbcccbaababccaa
+bcbcccbbbacbbcccacacbabbbbabbabbabcaabbbacabaabcaaccbcbaccbcbcbac
+bccababbaccacbacb
+bacbcacaaccbacbaaababaabcbabbaabaabacaaccbcbcabbbcaacbbabcabccbacacacbaccbcabaabcaccaaabbbccbcbcaccb
+cabaaaacbbbbaabbacbcbabaccbacaababbaacbcccabbacaccaaaaccbbacacacbcac
+acbaabacacbbcbbabccacccaabccacaaaacbcacaacbcbacaacacabbccccbcaaaa
+aaccaaccbaccbcaccbcaacbababcccabbabaacbcccbbbccbcbaaabbbbcccbacccaacbcbbaaaaaaaacbccccb
+aaabcbacabcbccabaaccaaabbbccbaaabcaacacabbbbababcbcccaabbcaccacabbaacabacabbbbabaccccaccabbaccbcbbccaac
+abacbaacabcbcabbcccababcbcbcbbcacacacbbcbcbacacbbbcbcaacbccccbaabacacaaabccbcccbcbcabacacca
+cbacbbaabcaaaababcbbabcacccccabcaccccabccbabbbccaabccbcbcaabbbc
+abbbabbcbabbbcbacccbbcabccacbbaabaabaaaccbcbccacaabaabcccbacbcbcaccbbaaaacacacabbcbbba
+bacacbbbabaacbcabacccbbcabbbacabbaabbb
+abbbbcccbcacbaabbaaccbaa
+acccbbccabaaaaaaaccacbbabbaaabccaaacbbccbaaabcaccbbcbccacababcccabccaaabbaa
+259 96
+bddbadcacdbdaabbbbaccbcaddabcccbbacabbaadbdcdadbbcdbddbadcddcbbdb
+addaabaccbacbdaadaaacbccbdcddcccbbcdcbddddcadbbcadcacbbcddcb
+bccdbacaadaaddacccadabbcbcdccbcaaad
+accccccdaaaaddadbbbbdaddcddbdbbbcacbaccdabccaacdaacdcbaccccdbdbcdbacbc
+abaacccacbbacc
+ddcbccaddbaacbcdbcdadaacaadaadddcabbdddbc
+cdabddbdccbccacbcbbddaddda
+bbacbccbacacbbcaa
+bcabacaacdbadcaadadbdcacbabddddcacdaddcadacdcaaacbadddcddaddcdcdddadbdca
+acadbabcddccacadbcbdabaddbddcbddbdccdbdadaacbbcbddcaddbaddcddcbabbdccadbddcbaad
+cbdcccdbcbdbccababcbacbaddabddddbbbcbcbccaaabdcdddaadbbbcbacbbadab
+abdbdbdadcccdcaaaddcccabbdbddabcbbdcbbbd
+bdddcadddbab
+cdbdcaacdcaddddcdacbdadacadddbbbadabbbcdbcaddbdacbcbaaccadbbcbabacbccbadbaadac
+abcbddbcbccdcbbaaacddccdababbbbdadcdacdbaababdcdaa
+cdaaacccbdcdcadacdcbccbbddabbdacdcdaadddbadcccdaadbacaddbaadaaddbbcccccaadcbdcbccddcadbbcabacaddadaca
+acccaccddbaddccbdcdcaca
+aaccbacdcbccbddbddddbdddbccb
+bbdcddddddcdabbaddddabccbbddcadabdcabd
+caddbacbdcaadacbbabcabaaab
+cabbddddcdaddbadbbadaaddcdcdccaadaabadcdacabdcbcaaabdabbabcacac
+cdcbacaddcaabbcacccdccbadbabacbcbbcacabacdbbbbcbbdcccaadbccaacdbadbdbbcdcac
+dcddccaadbbbdaabaddbaabcbddcacaacadcabadcbdaacddbcdbaaacdcbaacacdacadbaccadaacaabbc
+abadaccabcaaacc
+ddacdbadbcacaadbbacbbdbcaaccbdb
+dbdcccdcdabbcccbdbddbbbdbaaabccb
+cddcbcaccd
+cbcacbbdbdccacdddccbdacbacdcdbbccdcadbbaabcabdadccadbbccdabaacaaabcdacbdccddbccac
+ddcbbbdaaaababdadcadbaaaaacadcacbbaccbdadbdbabcdba
+dcdadbddcbbaabdbbbdbddbcaacddcaabcdbacccdcaccdacaadcdbdaadbbcbcd
+ddacdbcbacd
+ddbbddddbbdbcddccbccbbdabddbdacbbbdcbbadddcbbbca
+ccdbcddcababbbdbbcdadccacdbbaddccadcbaaacacaccddaabcbaaacdbacbdaacbbaabbccadcadddccadadbc
+acbdbdbaaabdcdbcdcbddadbdaccbbbabdcabdbdcdaadcbabdddcababd
+dddacacaaacbaadbbddddabbbbcadcacda
+cbdbbbcdbdaacdddcaddabdcbbbadbbdbbabdcdbdcaabccacacaabaabdabbadbcbb
+dadacacbacbdadcbdbadcdbdcdbdacbcbdccadbbccbcdabbdabadc
+bdcaacccdcbaabcbdccddaabbadadabbdca
+cddddbddbc
+cadaaacdbbababaabcabadbaccddcaccabdbcddbbdcbdadddaccadcdaabaaabbdbbddbdbaaaadccbbda
+cdccbcaadaddbdaadbaacdcdddbdadacaaabcbcabddabbcdacdbacbdcbcdacdcdadddabbabadabaaaaaaccbbaacbacacbbddada
+bdcbcdbddacdaabdadbcb
+cbbbabcbbddbadadccbdbbbabbdb
+addbabacdaabcadbdadccdabadbccdcaaacbadcbbdbbdbcabbbddabb
+addcbcbabadcdd
+ccaacbcaabdcbdcaccbbcccbbbdbbddbddbcadabbdadbddcbaabaddc
+adcbbbbccdbcbcdddbadbbaccbbddccacbadbaddbcbacbadadcadbadbdcbccacaaccccdbacccdaaa
+adcdbdadcbccabbcdabbdbdccabdcbadaddcbaadaccbabbcacdccdbbabcabbdbbbabcbbcb
+bdbababbbccbdaacdccbccdccbdbabadbadcbad
+abacacdcaacbaccbcbbcaccacbdcbdcbabacbcccdcaddaccadcdcbaddadabddcbbaadbbcbdbda
+aaadcbdbcbddccbaaabddbdaabbdcdaabcbdbaaabdabccdcaaabaadddaccabcdbbaddadcaddddbdddb
+dadbcbbadbbcbdbbabdbdddcdccbbcdcdd
+aaacccbabdbcbaabbbdcbcbdccbdbbabbcdddddabcbaacddbabcbbaacbdacaadbcdabbbaaaadccddbcdcdabcdbddadbaabbadaaccbdaa
+adaaadcdbccacdadabdbbaaaddbbdbabcddccadccbccdddccababcdbdddbddabacbccbbcccccadbddadaac
+ccdccacaaaddbccdcaacacdcbcbacadcaccdacdccacdbcdddadbdbbc
+cbddaccdbddadddddbbbbdacccdbcbdbbcaaccdacaddbcddcdcddbccbdccbaaacabcaddbcbcacdd
+aacaadcdaababadbddbdaabdabdcabbdcaabcddddcbdcdbbcdbacdbbabddcbddadbbbbddbabdcdacbca
+ccbdaddabbcaaacccbdaadbdabdaabdada
+bcdbcbdbbdcabcdbacaadadddacdbcdcccbdcbdbdcddcdbcacbcbacdcbcabbcddcbdcadbbdaaaddacacbaddcabaab
+daabdcddbdcbbcbcccbcbbbbababba
+cdbdccaadbccabbdaddccacbadabcaaaadabdbaccbdccbdcaccccdcdacbbdddcabcbcccabbdbbccdcc
+cacddabddabacadcbbbbdcbbdaddacacaaddccccbbbdbcbdcabaadcabbddbadcdccaabdacdbddadbaacdaabbaacb
+bbccdbacbbdcddaadaabdcbcbabbabbdaabcabaacdcbdacccdcaababdbadbdabcabadacaacaaa
+bbddaddaaadbbacccccccabacdadd
+dccabaaadaabbbacdacabbcbabbbcaadccacdbddadbcddcbabdadbbcdbabbcdddddd
+bdddddaddcbdcaadbcadbaaabdbbdbadddbdcbccdcbaaaaaacbacdaccc
+bdbbddbddabbbdbcdadb
+ccaacbdacaadcccddcddcaaaabcadcdadaddbacdcddacdadbddbaacabbdadcbddacabaabbaadccbbcabacccccbccacbcba
+abbacaaaacdbcadbbddcddbddaadbcccadccbabbacdccbabadacbbabdddadddababdcbbdcd
+cabcabadbdacdadcddbdbbcbabcbdadabcbbdcaddaabadacadacbcbaaddcdbabdbbddabdbaaaabababdaabaccbdcab
+ddacaaccbdbbdcadcdadaaacaaddbacacbdadbbccdcbdaaaacdac
+bcababccbacdacacdbbabaadadcadbdbb
+aabccbbabdda
+bdcbadbbdbcdcbdac
+dadbbabaabbcdddbacbacbaabaddbabdcadbdacbcbcdddbdcccabadccacccdcdcbddacbacabbddcc
+abacaccdcbbdccadbdadbacadabcbbbabcbbccbccdddabccbaacbddccdadcbcdacbacddacaabdcbadaacabcccdaadddadadbdacaaabdd
+abcbdcaacdccbabdcdaddadabaccaaccddacaaccadcbababadcdb
+acbdacadcaddcaccadbbbdcbdddddacddbcbddcbbdbbbacaccdabcddbaadaaadcdddddaaaadcaaacbaddacb
+dccbdbcdaccabcbacdbdccadabbcbbcdadcdabcdcaadaccabcbcabcddbcddccadbaacaaababaccabaacadbbb
+acbabcacddbcabcbcbbddcccbcbddacaddbca
+cdbaaabbacdabaabaddaddbddabcdbaabddcccadcaadbddbacaabccdcadddbdcaddaddaacbaabddcccacacbcbabcdbaddbdbca
+dcccadcdddddcbbdbcdcccdcacbbccaabdaaddbcdacacdcadcdcddbacabbddccdbccadccabbcbd
+daccbcbbadabdcabaadbdcccaccbcabcbba
+caabbaacadcdadaaddccadddabccd
+cccbbbdbbcacbadacadbaaadcbcdaacbbbccacaaadbbdaacddcbacbbdbcbbdbdddcbabcdccdcac
+bbcdbaaaaaaadddbcddcccbacdcbcdaacdbbcbbdddacdbaccaaddadbdcddcaccdcaadccdadbacbaccacbbabbaabaccdaaabd
+abadbbaaaadcc
+cbcdcaadabddcdabdacdbddabbacdbcdcacbbcbddbaccca
+dadbdbdbdbbcacd
+ddabcdddddabcabbabdcccbdbabccbbdddcbaadabccbaddabdbadbdcddaabcdbadbbdadacbdcbadaabd
+cdaabacdbcaabcdbaabcccddbbababb
+cbacdbabddcbccdbbaddacaaccdaaacbdabbadbcacbbbbcbc
+bcdbbcccbabdddbbbabdbcacaadddacbbbddaadcdabbcbcabbdcdacbdccbbcaacbbacbadacbddaddddbadbdbdbcdbb
+cbcdcabbcbcabdbccccbccdddabbcdbaaabbccadaacdddcbabbcccbcaab
+adbcbbdddbdcaddbddcaabaaacbdcacadcdccdabacababcbdabacddaabdacbd
+addcbdcaccadbcbdaaca
+dcaacdbaabaaddcbdadccbacbbcdbbccdbddadcacddbadbbacadacccabbdbcaddabda
+cabdaddbcbadcaddbcabcdaacbdcdaabcdaaaadacabdcccaaacbdabdaaccaaaadababddddcdcdcacddbbbdacbbcdabcccdbabccddcad
+dabbbaaadddacdadabcaaabdbbbbc
+bcadccdbbdbbdccabdccccaadabbcbbbcdccdacddbcacabbbadbcadaabbcacdabccaaadcabbcdcadbabccdacacaa
+adacddcdabcbcbabadbbdcbbdbdcabcaddbcccdaccdaddcaacddbaccaabacbcadabddaacc
+baaaabbadabbbdcabdcd
+ccabdcdbacdcbdbcdadabbcacdcacadddddabccbaddddbadbbdddddccabddcbbdaacddcadcbbcbaaccbaabdbaddaabbaba
+bbaddcaaadaabacdcadcbcddbcbb
+bdcacddccccaaaaadbbddadb
+abaabadcdbddacdbbbbabacbcaccdabbaddbabdcaabacaccadbcaacbcdadbcacccdacbcccbddcaaddbcccbaccaabccaccbacacbc
+ccbbbbbacdcddbacbacddddadaadacdbdccbdacbdddcdcaadbaababbbcdaaddacdacdadbadcdbddbbdbaaabdadb
+cccbabbcadacbdcdcbcbcabaacdbaacacbacdccdbbcbabbabbcbaabaddbcdbddcadcbdabacdcabddadcadbbccccbacccaacdacbbac
+aabbccbcdbabaaaadbcbddbdcabdabdacdbbaababcb
+ccdcaabbbcdaddabccccddcbcbdadadbbcccaabdbaaaddbbddadbbbabaddbddcbdbdbadadabbaaddcaaccabaccabaadcbbbbbaacbacb
+dbdacabcbdbbdbaaddbbacbabdddbcbbacdccaacaabadbcabcbacdddacdaacdbdaabcdbbdabcdaba
+acdbddbdbdbddbbccdcddcbabccadbcadcaaddbbbddadaabbbabcdabdacdbcbababbcaab
+adaabccccccdcabbaccadbababccadbcbdddcddbbc
+cddbccddddabcbbdabacbacaadddbbbcadabddadacacccbdabbabbccadbbacbbbbbddccadaddbabdccbabdadacbacbbddbaa
+accaabacbbcbbdadabacccdbbdcdccbbccbaabbdbccddcdcacbdbadbacadba
+adadbdbcdcddacadcbbbabaabbaaaacbadbabaadcabcbdadbabaacddcccccdacaacbbdabadabdaabbcbadccccbabdacdacdb
+cbdbbcccacbadbcbaabdcbddadcbcacaab
+dbcbbdcbaccdbdcacdbdabbb
+cddbabababcdadcccabcdacbabd
+bdcccaabbbabcccdbabcdaddbdcdacddbaccadaadddbbcbbdc
+adddbaaddcbccbcccddadcaddaaabdaabdddcabbadaacbdbdcdccbbdaadba
+cbbdbdcccbdbbbaddddacdbbadaccbadbcdcbbdabbbadcdcbcdcddbbabacbadcbdacabdbdbabbbcdcaabbddbbacbaadcbaad
+babcaabbcccddbcbbadddcaacbdbcccaabaacccbdacdacddacaddcbbddababccdccaadadbcbdccccacbdddcdbdbdbbbdb
+cbddaacdbadccababaddcdccdbdbdbcbdcaacdddbbcdabacddcccdbd
+bbbacbdddacbacdaaaabdabbbabdcdbabdabaccbbddabbabbcabccbdbdabaaadacaccca
+bcdacbadbbdbabccabdacbaacbabdcccacccabdbdbdcbc
+cbcadabdab
+cacadaabacdcdcdbcbcbccabcbcabcaaadcdbcdcaacbdcbadabcccaddbaccccadbcccabccdcacbcdabddcadbbaaabddbddb
+acbbdcbdaadcdaac
+ccdcbabcccccadabdaddcabbdddbdaaaacbddadbcddaddbaaabccddadcbdaadacbdcdccccdbcbbdbba
+aabbcbaabccacccbcccadcdbdbbadbbdabbdaaaccdddadbbadcabdcdbdddcabbcaacabbdabcbabadbbbaaaabadcdddaaaadc
+acdbaadababadaaacbaddcbcdacadddaddbadacdbabcacbbdcbbcbbbacbaacbcccabdaaddaabaacdadcbaddabcadbbacbabadabbb
+adaccccdbabbacbccabaadadaadddcacddaadcaddcaddbccbbabbddacdabcbcdddaddca
+acdbaaadcddacbbbbcdddbbcddaccabccdddacaacbbabbdcdccbadccccdcbcaacac
+accaccdcaddc
+caccddcdbbabdbdaccaabaaaacddabddcdbcbcacabdaa
+aadcbbacdcc
+acacbcaaaddabdbabbddaacddddcbcbcacdcccddaadacdadcadbabcbadbbbcaacbdaadcabbcdddbbabcdbbbdcacbddaaccc
+accdaacdcdbabccaacdcccbbcbaacbdbdddcdabbacdacdbaadb
+ddddcbcbcabaaabdddacabccadcbbcdcacbcdcdc
+bbccbaacbbbbaadbcdbbbcabcbabbcbbbbcabbbcaaaabbddacbaaccadbdccdbcddcacbdabadbcbdbbacadbdbabadcccbb
+acddbcdbdacdabcbbbcadaabddcdbadaabdacacbcbbb
+caccaadbdcbbadbbddabcbbbcabaa
+dbaacddaabcadcbdbbddbaddbcbaaccaddcbbccababacbdabddbddbabbcdcdbbdcdabdbcabcbdbbcccbbaccbddbbcdadabddaccbaccbc
+aaacabddccacdaaaacddbbddccaaccbbbbdcbcadddccbccaacbaadcddcdabadcabbbcbcdbdbdcadaab
+acbddbaabdcdcbaddcacbdbaaddccbbccabadbaabdbd
+bdccabadcadcacccacdadadcababdadcaadbbdcdbbbbbdcdabbdbadcdddcdbbacbcdddbacdcdcacbcaaaaccbaddacaaccbbdccaba
+caddbbccbaccdbbcaaccbbbbbbdadddccbcaacbcaabaababbcbaadadaacabacddabdadbbaddddadcdacbccd
+cadcbbddcbdcddaabcccadcaccddbbdccaaabbbababacaacaaaccccbbbdaacadbbabccabdbaadcabadbdbcbdcdbddddcdaaadcbddbcaa
+badaabaabacdbacbaaacadacdcdbbbccdcdbacadbcbbababcccdccbdbaaba
+acbbcbbdbadcadcadddbccacbababbbadcdcdcabdccbdcabacacccdcdaacadbbccacadadbabddcccbcbbcbccabccdddddaada
+ddddcabcbbcabdabaaaabbadacaaaaddbdcabdacbcabddacadbcacdddb
+cbdcabbbbccaacabbbdaaabbbbdccdad
+ccabddbdcdcdcaaddcdcbadddcddcdbcdcabbaccc
+cadccdacdbbadacddcbdbbdaccccaabbbbaabcddcdbcbbadcaacdccbbbdacdbdbddbaddacdbdcbbaddaad
+cbcacddacbdacdabdbdaaccdababaabcbbbbdaaaadacbacccddccbbbcdcabacddaaadbbbdcdcdccba
+dacbdabbcb
+acdbbccdabdcbaaccd
+abdcbabdcdbbcaabbddbadaaadacbacaacddacaabdcadcaadcdbdc
+bcbdcbadbababcacacacadaddbcdaccddaabcaccaabbbbdbbaacabcbcddddaaaadbcddcdadcccddbdcabcdbd
+ddacdcbdbdcbdbbbdacbababdabbdcddacdacdcababcaaccccdbacac
+bccacbdddaacdcbcccbcdabcddbcbcbaaaccddbddcadbdabccbcbadba
+aadbaddddacddcdaaaabcccdaabbbbdbbdcccdadbdbbbacdacbbbcaddacdbdbd
+dcbcabccbcbcbdbbccdddacbaabbab
+acbbcccdddbdbbddbaaabdacdacddcdaddcadbcdaaabcadbacacdcaaaadacbdbdbdacadcbadccddbaccdadadaacbbbd
+ccaadbdaaaaacbdacdadddadddccddcddadddbadaccba
+cddbccdbcdcaabcdabacccacabdbccbd
+dbbdadbabcdcaddbaddbacbabbcccdbadbcaddbaaddbacdabacbaabcbddbbcaabdcacdacadcaccbadacbada
+adcadcddaabaddddddbbdbdccbadccadbabbdaccbbdcb
+aaddbdccbbcdabadcacdbcbddbcdadbbabbadbaadacbcccdcbdccacaaacdcacdaadccccbcaabdbdabccbcdadbddcacccb
+caaaadddaddddaacdbdbaaddadabadacddcccacbbbbccbccabad
+aacdbaddabbdabdcbcadbddabcdbdbadbbbaaaacadadadabccbcbcbbbccabcccbcabaddcbccbdacccaadbacadbbcaacabbad
+cabcaacaacdbbccaccddbbccdbbacbadbcccdaabccdadaabaaaacadbaabbbbdbaddbdbdadbbdbcabdcaabcdccc
+dcbaddbacbcaaaabbcaaaddbbadccdaccdcbdaabcdbddcbdbbcdbacdabcbdcbcbdaabbdbccdcddadbdbdcdbcbdcdcaddcbdbdbadcad
+dcbacdabccdacbbabaaddaacdbdbbccaccacddcaccacbbbbbacaccacdaccbddbadcabbbccdbddbcabd
+cbcccbcaadcbcaccbabdbbdaacadcbcdbccbdbbddbaadacbaaabaababbbbacadabbddc
+bdddbccbbabbbbdcdbabdccadddbdbbddbbccbacabdcdddbbbabbabbcabdccaaacddccbdbcdbaabcccbbadbadbdbddbcccabacdcbbdac
+bccbaacdbdaabddcbcaadacdcbdbdbaaacadbacbdaddabbbaadbacdbdbcdccbaa
+acadbdccbdcaabcccdbcbbdadbbcbcadccabcdacdabaaacbccbaddbbcacddcccbbdcbbaabcabbaddddadddbbacabcdaacaacbcdccb
+dcabadcccdbdbbdbaadcaabcbaaddbddbbaabcbcadba
+acacbbbbabadacbacbacdacccaaddadbcdcbcdbdbdbadbbbdcdabbbdaacabcadbbbcabadcabbaccbaccabbdcdbbabbbbdbaccadaabc
+ddabadacaaccbcad
+cbacdcbcaaadcdcddbbbbdababbcdacadbaabdcdbddbbbdbdcdaabdbacbd
+bcbcbadbababadbbdabaaaabcacabcadbabdbacddcdaacbdbccdabdaacaabcccabaccbadddbbbccbdbabadabcbdbdaccbadc
+aadbaacdaabacbdbcbcdbcaabbcbcbccccdbcacddcacbcdbabccadcbbbbcbbaddbc
+dbbacbccdbdbbcccdabaaccbccabbccddccdbcbaacccadabccbabcbadbcbabbcaaddcdbcadabdaaaddca
+adcaddccacd
+cdadbcacacbdbcccbadbbabdbabadad
+abbcbbcaddaacdbbcccbcaaaaacbcbdaaabdddcdbdacdbcdcacdaabbccdccaccadccdaaccaadaadd
+cdabcadabdadbdcaddabdcbcdbbcbaaacdacdabbbcacadcacbaacbbdaacabbbbabcdcabacbdbdbdacadccccaacc
+ccbcabbaccccdcadbbaccadacacccddabbb
+bdbaabadbcdbadcabbcaacdbcaaaaacaacdbccbcdcddcdddcdaacdabaa
+ddabdbbaabbbcbcbbaacdbbddcaad
+babbdacdcbbbcbdccaaddcadcabdcbcddbcbdcdabccbcdabdaabbbaaaacacccbacaccddababacddbabdcdbbbdccbddadddaadddabdb
+bcccbbbacccdbddabcaabacbcadcacbbababdadbacdacbcaabcabbaaadadddabbbaadabac
+ccdcabacbdcbacdacadcacbadacaacacdc
+dbdbaccaaccbcdcdbabcaaabddbdbccbdcdbbcdcdcaacbabcba
+ddaacaadaadddadbbaaddddadacacddcdccaaaacaabccddcdacdbabcabcaabdbddbaaabcaddcdcbabccbccaddad
+dbcbcdbbcccbbdaccdddbabcbbcbbaabdadcbdbbcbbabcbbddbccccdcadbabbacbaabaacbaaddcdbcd
+cacdcbaadacbabdaacbcabccadbbbbbbadcaadbadbcccdc
+dbcddcbdbccabdbdccaadcbdabbdbdababdddacbabcacacddcbcacdbbadbcbadaaba
+ccdbbdcbcddacdbbadccccaccbbbcacdcabaddcbacbcdbdccdcaaaabaddcdbcababddcbbdbdbcdcabbccbac
+aaadaacdcbadcddccabbdccddcccdaaaadacdbcbdcbdadbccdcbacaaaaabcddbabadbcaddbcacaccdcbacab
+adcadabbcabbdcdcbacdaddbadacadcaabbcdcbaabbccdbcddbdcdcabdcaccc
+bdabadcbcdaaccacabaddaaacdccbbbaabbbcbcdbacccbccdbbdadaaaccbc
+adaabaadccbdcccdddacccabcdcdccbbcdcbadaabacbb
+cabdadaacdbdcbbddbdbcbcccdbcbbbdbbaaabaccacbcbbacabcdacdbacdbdaaa
+cdcacdcbddbdbbdbabcbbcdb
+ccccdcaaddbaabccddacbcdcd
+dddcdcbcbbdbdbacdccbdacbbdcaadbdbbadccdcbbaadabcaddbbdababcdcbcaadadbccbccdbdbadaaadcadbbdbcbc
+bdcbabbbcdcdccacabcbddaabdbbbbbbdaccbbacadbdccccbcababcabcdcabbdbdbcdcadbdcbdcbbbaaabcaccaaabaacccaacdddb
+cdabdbcbdaabbbbadccccddcdacadacaccbbacbcacbdabbaaaababbccccdacbaaacb
+addadccddbaaaaaaacabcbcbbdddbaacabaabccaccbdaadddbdacacacadbbccaaacdabcbabaaccddddbddccbddcdcd
+dccdcccadbbcaaddbacbaadcdbddbcccdbdcbaddadb
+dcaccaadddbcd
+cabbccadcccdbcdcccbcbddcbbccabdaabcddcacbcadcdcabbcdddaddbabbacaacaccaaadcbdcdccacdbbabaabdccbbacbbbb
+dacabbccbadacbaca
+daabdbdadcbdcacdadc
+dadacabdaaaacccabc
+bcacdccbabcadbabdbdacdcaaabaabcacbacbcbccb
+cacacdaacccbaabad
+dbadcdccbccbcaaadadcbdbabcdadbd
+cbaccbacadcaaaccbaaddbaabbdcbdbabccccdbddcbcdcbaabcacdacaabacbaccaaacddbcdbaabdcdcadadcadcddcccbccbdaaabcbb
+bbbbbbbaaabcaadbaaccddddcacacaaadcca
+dbabcacbdccbcaaaadbaabbbccbbbbadcdbbbca
+cdbacaaccdcaaadbcaddc
+cbdbaaaacbabdcbbdcdacbcdcb
+cbddbbcbaddbbbdbdaaddabbbcccbdccdabadbcdbacaadbdabcdcdadabdc
+ccdbcdadcaadacaaabaadbbbcbdddcbcdbcbaaacbcccdcbddbadccbbaacddbcc
+bdadbadabbbcddcbcdaadddacdbbbdabbabcaddbba
+cddcbabdabdbddcdabbadcbadabcdcabcddbcdaabacbcdaacdacccadacdacdbabddacdabdbbdccbdcbccabaadbbbcaaadda
+bcccdadadabbbababdb
+cbdcddcdacadaccbbdbabbbdcbdbaadcddbacaadcbaaabbabaabcbdaadbaddaabddaaabdbbdadccadccccbacbbbacdacaaddaaaabdb
+accdbbcdabababbadbbdacabdcacccaacbaadadadbbccdbadadbaddbbacbcaadbcdbdccbaaadabbcbdaddc
+ccddbcbccacbccbbdacabdadaabbaacacbdcbdcadaaaacdbaadbcadccdaa
+abccbdcdcdaadcdcdcbaddabcbadcbdbbdbccdadacdcabaddcdddab
+acdbdbbbacaabacbb
+aaacaaacbbbdcab
+dcdacdaccccbaaddcbcdcbcb
+dabccbcbcaabaabddbadc
+dcdcaabdbabcdcacbbcaccdabbdaaaddcccccdccbaddcddabcc
+cdadacbacddbccbaccbdacdbabcbccccacbbcbdbcbaddbacbcaadccddbcdcccaacdaaadcacaaacdabccbcdbdcbccaaddcc
+bcdcddbaacdadcdaacdcbbbcaccbcccaabdcdcadbbcaacbcacbbccabbbcbdccacbbdbcbdbbcdbbadbbbacbacdcaaacdddcdcabd
+accbbbbcbcaabcdadccbdaadbbbaacadaddbadbbcbaadabccadaaddcdbdcbbdbbcbcacaddaabaadbbadacbbdcddddacdaacaa
+caacbbdadcbdbacadcbcdcddccdcbaadbbaadbbdaaaabdadadbaccaaabcaacabaabdabbbdbcaddbccbdccbccbdacdaacdbddcacbaa
+ccacdaaadaadadbadadcadacdcadcbaadbabdbcdcdacccacabdcdcbbacbadbbbcaab
+adbbaadadabacabdcdbbbccdccaaadddbcdbccacdacdcaccababdcddbcaadcacdadbacdcabbaacddbbbbcccdacbdaadab
+bdbbacccabaabbbcbbdcabbdcaccaaabccddaacbcbc
+baacdabaccbbaacbddbdcbcacaddbadcbdccaacdbddbbcbcbacdaccba
+aacaaaaabddccbcdbcdbaabbdaddccdacaccababccbbdbcdddbaabcacdbdabaaaacbacddbcdcbadd
+cdcddaacccddacdcaadccbcddbaccbcdaadddabbababccbadacddbacccccabcbaacc
+dbadcaaadddbacbacbabcaaabbacaaccddcbddbdadadaccacbbbdcaddaabdcdbdcaaaaaacccbbdbcdbdddabbddcddcabccbacadbb
+dadbdddaadabdacabdbbaacdaadcdcacdddcaddbdbaabdcabbdaccbbcdbabbbbdbadcdbcbbcccbcb
+cdcaadbadddddabaddbccdddbbabacccbdadbdbbdddabcccbcaacdcadaaddabdcdbcadabdcadacdcccbddaadbbbdaccdbbccbaa
+dddadaacdccbbaacbbcacaabdcccbbadbccbcccaaddadadbbacdcbcababdabbbcdabcdbbad
+aabccdadbaaacdacbadccacbdadbaccbdbadababcaabdabdadabacbcc
+acabcbacabaacaca
+aacccdabdadccddddcaacadcdccdcbaadcab
+adbadaccddddbbdbbccd
+64 43
+aaaaaababbbbaaaaabbaaabbaababbbbabaaabababbbababaababbaaabbababbbbbbaaabaaa
+bbaabababbbaaaaabbaaab
+abbaaabababaaababbbbaaabbbbbaabbbbbbbaaabaaaaaaabababbaabbaabbaaaaabbbaaabbbbabaaaaabbaabaababbababaa
+baaaabaabaaabaaaaaabaabbaa
+aabbbbabaabbaaabbbbbbab
+bbbbbbaaababbabbbbaabaaaabaaaaaaaabaaaaaba
+aabbbbbabbbbaaaaaabaaabbbaabbbbbbabbaaaaabbbbababbbaaaaabaaabbbabaababaaaaaabbabbabbabbaaabbbbabbbababaabaa
+aabaabbaaabababaaaaaabbabbbbaababbaabaabbaababbbbbababababaababbbab
+abbbaaaaabaa
+bababaababaababbbbbaaabbabaaabbbbbbabaaaaaaaaabbbababbbbaabbababaabbabaabbbababbbbaaaababaabbbbaababaabbaaab
+abbbbabaabbbbbaaababbbbabbaaaabababbababaabaabbbbaabaaabb
+ababababaab
+aaabaaabbbabbabaaabbbbba
+baababbbababbaaabaabaabbaaaaabaabbabbbaaaaabababaabbaaaaabbbbaaaabaaaaaabbaabbaaa
+bbababbaabbabaababbbbaaaaabaabbaababaababbaabaaabababaabbabababa
+bbaaabbbababababaaabaaabababababaaaaaaababaabbbabbabbababbabbbbbabbaa
+abbaaabbaaabbbaaaababaabbaababaabbbababbbaabbaabbaaabababaabaabbbabaaabbbbabaaaaaa
+aaaaabbbbbabbabbbbbaaabbaaabbababbababbaaaba
+aababbbbaaababbbabbbaaabbbbbaabbabbaabaaaaaaaabaaabbbabaabbabaaabbbbabbbbbabbaaababbbaababbabbbabbaabbaaabbab
+baaabbaaabbbabbaaaababaababbaaabbababbaabbbaababb
+bbabbaabbababbaabababaaabbbbabbbababaaaaabbaaaaabbaabbaababbbaabababbbaababbbbbaabaaabbbbbbbaabaabaaaaaaabbba
+bbbabaabbaaabbaaaaababaaaaaaaababaaabbabababbbbbaabbaababbbbbbabbbaababbabbbbbbbaaabbbaabbababbaa
+aaabbbabbbbbbbbabaabaaabbbabaaaabababaaabbabaabbbbbabbababbbaaabbbabaaabbaaababaaaabbabbbbbababbbbaaabbab
+bbabbaabbabababaabaabbbbbbabbaaabbbbaaaaabbabbbbbaababbbbbbbbababbbabaababaaba
+abababbbbb
+abababbaabbbbbbbbabbbbaabbbaabbaabbbaaababbbbaaaaaababbbababbabaabaaaaaa
+abaaababbbabbbaaaabaabbaabaabbaaaabababbaaaabaabaabbaabbbbbaabbaabbbaabaaba
+abbaaaabaaababbababbabbbabaaabaabaabbabaababbbbabaabbaababbabbbabaaaaaababbab
+abbbaaaaaabbbaabbabaaabababaabaabbaaababaaaaabaaabbaaaba
+babababbabbbaaaaababababababbbaaaabaa
+babbabbbbbbbaababbabbabbababaabaabaabbbbaaabbabbbaaabbbbababbbbaaabaabaabbbbbbba
+ababbabbbababbbabbaaaaabbbaaaab
+baaaababaaabaaaabbaaaaa
+abbbbabbbbaabbbbabbbaaaaabaaaabaaababaabaabbabbbbabaaababbaabbbbabbbb
+bbabbabaabbaaabaabbabaabbbaabbaaababbaaaabaaabaabbabaaabbbbaaaabbbabbaabbbbbb
+aabbaabababaabaaabbbbababaaaababbbbababbbabbbabaaaabaabaabbaaab
+abbbaabbbaaabaabbaababbabbabbbaabbaaabbbbbaaaabaaaabbaaaab
+baabbbbbbababbbbbbbbbbbaaabaa
+bbbbbaabbabbaaaabbbaaaa
+aaabbbabaaabbbbaabbbabbbbbabbabbabbaababaaaaabaabaaaababbaabbbaaaabbababa
+bbbaabbbbaaaaaaaaababbababbb
+ababaabbaabaabaabbaaabaaaabbababbbaaaaabbabaabbbbbbbbb
+aaaabbabababaabbbbbbaabababaaabbbaababaaabbbbbaabaabbbbbbaabbaaabbabbabbbbbabbabbbbbabaaababababbaaaaba
+babbababbbababa
+aaababbbaaabaabbba
+abbaaaaabbbabbabaabbabbbabababbbbbbbbababbbbbabbaaabbaabbbbabbababababbbaaabaabbbaabbbbbaabaaab
+bbbbbbbabbbbbbbbbaaabbbabbbabaabababaababbbbabaababaabbbbabbbbbbaabbbaaaabababbababbabbaa
+abbbabbbbbbabbbbbaabbabbbaaabaabbbbaabbbbabaabbbbaaabaaaabbabbb
+babbbbbabaaabbabbababaaaaabbbaaaaaabbabbbaaaabaabaababbbabaaabaaabababbabbabaabbbaabbbabbabbbabbbaabaaa
+babababaabbaaaabbabbaaaaababbabaaababaaaba
+abaabbabaaaabaabbbbabbaaaaabaabbaabaaaabbababbaaaaabaaaababbbbaabbaabbabbbabbaab
+baabaaaaabbabbbbbaaaaa
+abbababbabbbaaabaaabbaababaabbabaaababab
+aaabbbabbbaabaabbbbbaabbbaaababaababaaaaabababba
+aabbbaaabaaaabb
+abaaabbbbaaabbbbababaababbaababaaabbaaaabaaaabaaabaababbbbaaaabbbbaabbaabaaaabbaaaaaaaabbaaaa
+babbbbbbbaaabbbbbaababbbabbbbbbaababbbbaabbabbaaabbabbababbabbbbbbbbbabaabaabb
+bbaabaaaaaaabbbbbaaaabbaabaababaabbbbbbbbabbbaabb
+aabbbbbbaaaabaababbaabaaabaabababaaaabaaabababbaaaaaaaabaaabbaaabbaaabbbaaabaabaabbbabbbbbaaaababaaa
+baabbbbaaaabaabbbab
+abbabbbaabaaaaaaabaaaabbaaabbbbbbbaaaabbbabb
+aabaaaabaababbbabbbababaababaabaaaaababaabbaababbaaaaabba
+aabbbbabbaaabaaaabbaabbbbaabaababaababbaabaabaaaababbababbbabbababababbbbbba
+baaabbabbbaaabbbbaabbabbaaaabbbaaaabbbbaaababbbaabbaabbab
+151 91
+cacbacabbabcbaaaabbbbcccacbcbabacabaabcaaaaaabbcbcabac
+cbbbbabcaccbbccbcbbabbbbabbccacbccaaccbacaccbabbabaaabbaacca
+cbbcbababccbbbbbcbacabccbccaacccbbbcbcccaacaaccbabaaacccaacaaabacccccaaabbbaba
+cbcacbcacbbaabc
+caabcbcaabbabacbbbabacbbaaabacabccca
+bbcbcacbbbbabcabaaaabcacbababaccababccbaabccacacabaccbbaaacacccaacbccabcabba
+accbcbaabcbcaacabbbacbbbcbcabcccbacbbbbcbaaccc
+cacbbcbaabcaabac
+baacbacccabaccacbbbacbbaaabbcccbbccaacbccacaaa
+acbcccbcababaabbacbcbbacbabcbabaabcbbccbcbcbccaabbaccbbaccbccbcaccbcbaaac
+bccacbcbaabbacbbbbbacccccbccacbacccbcbabaacc
+acbbaabacba
+cabbbcbbaaaaaabbaccbcabcabaaababcabccacccababcbcbccccbcbacabcaaccccabbccbccacbabbc
+aacacaacabbaaabbabcabcbbcbaababbabaaccaccbcccabacbaacbcccababaabaabbaaabbcbcbcaabccaacaaa
+cbcbbbbbbbababacbbbccacabacbcabaabcccacbcbaabbbbcbcbbbbacabccbcababacaaccabbabcbcbccbcccaccccbbacbbbaabcab
+ccccabbaabcabacbccccbbccabbbcabacbbcaccbbbcaabccbaaacaccacbacaabcacaabca
+cbaccaababbbcabcabaacaabccaccccbcabbbcaaacbbbacaabcabbbaaabaccbcccbabababaaab
+cbbcaccababcbacaababacabbcacbcabbbacabcccbabcbaaaaccac
+ababbbcbacacbaaacacccabcacabacaccaccaaaabbcbbbcaaccaaabcabcccbbbbabaaaccaccabcbabbcccbbab
+ccaabcbcbbcaaaa
+bbbaaacccacccbacabcaabcbbcbbabaaaacbabccbbcbacbabcccbcabbbcacbacbaccaccbababccaabaacaaaab
+acbbbbcbbbaacbccbbbaaccccabbbccbcbbbbbabbacccccbacbacababaabbbcccbcbbcb
+bcbbaabcabcbcbbbacaaa
+bcacbaaacacbcbccabbababcacaababbcccaabbcbaaaacacbccaccababacacbcccababaa
+cacaabccbabacacacbbbcbcbbcaccaacbacbcbaccaccaabbacbccacbcaaccacccaccba
+ccbacbcbaababacbccccaccbbbabbcaabbaaabbcccacabbcacbbabcacbacbaacbaaacabbccaccbccca
+abcabaccaaacbcaba
+bcabacccbbbcaaaabbcbacbcbaacbaaabbcccabaacbbcbbbabcbabaaacbcccabbbacccbbbcbcaaaccbcabccbabac
+abaccccbacaabbacaacbcbbabaca
+cbcabbbcbaaaaaaaccabcaccbbccccbbaccaaccba
+caccbbabbcbcccbacbacacbbbccabcbcacccccabbbcbbacacbccccbcbaaacaabbaccabccbaabbcabbbacbccccaaccbbccaaaacbba
+abaaacbccbcbcaacbabbaccbacbbbcaabcbaaacbaaabcbcbacabcaacaaabcacaaabaaaabcaabaaa
+ccbacbcbcbcbbcaabaaaaabcbcccbbbbabacacaabaacccbabbaccaccbbcccccaaaccabaacccbbcccaaccbccab
+bbabbccbacbbaabccaaaacccbccabcbcbaaaacbcaabcbabbccaacabccabbabab
+aacbbccabbccbb
+cabbbaabacaacacbbaccabccabaabcbbccabcaabbcbaaacbcaaabaaaccacbcbbcccaaccaaaccaaababcccbccc
+cabcbbbabcaacaaccabacbabcccbabcbaccbbabcbabcbaaabacbabccabcaababbcbaaaacabccbabccbccbccbccbcbbbbbaabcb
+baaaaccacaacbaaaabbbbbabbbbbccbbac
+cbabbccbbcccacccabacaacabbccbacacababccbaabbcbaabababaaaaccccbcbacbbacaccaccabbcaabbcabcbbaccaaababbaccbb
+abbcbcccbccccbbabbcabaaacbbcccaccabcbacbcacabcbabacbccaabaacbbabbbcabbbccacbbbacaabcbaabacccbcbaacb
+cbcbacbbaabccbcabcccccaccaccbaaacbbbaccabaabbcbbcccbcacbcbabbcbabbaaaccabbbcaabbaaaccbcbcaaccaacbccbab
+abcabaaccaaaacbbccaabbaacacacabacaccbaacbbaaaababbabaaaabccbbabbcbcacaabacccccbccbbaabbccbcaaacbbaaccbacba
+cacbcabbacbacccabaaaacabacccaaccbbcccbcbbabbccbca
+acccaaacbbababacbcacacabac
+cacabbcbcaccaacbabbaabbcbbbcacbbccbbbbaaccbccaaa
+bbabbcbaacacabbcccaccbabaaccaacbbbcacccabccbc
+bcbbccbbbcabbbcbbbcaabbaababbcacbbccbabcbbbaccabcbcccbaaccbbcb
+bccbcbaacbcbbaccbcaacbbcaabcacbbbaccbcbbbbabcbaccaccacabccaaababaacccbccccacbbaaaaabac
+bbcacbcacabcbacabbaabcababaabaacccbccaacbcbababcabacbaacaacabbcbccaababacbaacacc
+baaaababcbbccbbcaaaaccacbabcabbacbbbbcabba
+acbbcaacccabcabc
+bcbcbabaaacccbbbbacccaacb
+aacacaabbcacaabcaacaccbccabbbbaacabaccabaccccccbccbcaababbcabca
+bccccacbcbbcccbbaccccbabaaa
+bccaaaccbabcbbcaccabaaaccbaacbbcbbcbcabaaccbccbcabbcbcaaabbcaabbaaacccbcabbaabcaacacabccacbccaaabcaaaaaca
+abcbcabbcaaabbabcbcaccabbccbacbaababbaccbbaaaabaccbbbacbbcaccccaaa
+caacbcacacbbaaaaaacaab
+bcccabcabbcabcbaabbccccacacbccacbccbccbcbbbcbcaaccbbbabcaaaacacbaccabacccababaaabaacacacaacacbcbbcccccbbcc
+ccbabbacbcbbacaaa
+cbbaccbaaacabbabccacabbaaaabcbcbacacaccacbbbbccababbccabbc
+abbbabacbbacaccbccccbaa
+babaabcabcaabaabbbbbb
+aababbbccbcabcbaacbccbcacababcabacbbbaabaaab
+acbbbcaababbbacacbabcacbccbaabcbbbbacbcaabacaabbcbabbbaaabbaababccaacabcacbbbaccbacbcacb
+bcbbbcbacccbcbabbccaccbaac
+bababbbbcccaaabcaaba
+aaaccaabccbcacccabacbaabacacaccababaca
+baacbbbbabcbacacacbbbbbcccbacbacabbbbbacccccbcbbbbbbbabaaaacacbcbaaabbacaccbaabcaccbcccacbacbabacabba
+bcabcabcacbccaaabcbbccccccbcaababbbbbcbabbbaabccbbabbaabcacccbaccacccccacbbaaacbc
+cbccabbbbabbababccbcabbbacccacbcbbcaabaccbcbcacccbacbaababacaabaccabaaccccbccabaacbcacbbccccaabacc
+bccbbbcbbbabcbbcbcabcbababcaacababbcccaacacbcbccccbabacccabbbccccbbcaacbaabccccbbcbbbcababaa
+acaabbcabcbbaacabaccbbcbccbbaabaaacacbcacacbcaaccb
+ccbbaaabccbcaaacabbabbcabbbbca
+abaaccbcbcabcccbacbbbcabaabbacacbbcaacccaccbabbcbcaabccccbabaabbcbacbcaaaacccbaaacabcbacaba
+cacaabacaaabcbccbccaaacbababbbcaacacbbbcabbaacacacbccbaaaaacaaaacac
+bbbcacccaabaaaacabacaaacccabcccbaacbcbabc
+abbacccbbbcbbcbabbcacbbaaccbbcbcbbabbbaacbbccbaca
+abcccaaabbbbccacccaccccbcabcacbcbcbaaabcbbab
+accbbbabbabacaacccac
+caccbaccbabbaccbaaabacacbbcbabcccacaccacb
+cbcaaaccacaac
+aacbcccccbbbcbcbcacaacbbbcbbaabaabacbccbbbaca
+ccbcbcabcabababcaabcbabaabbcbcbccacacacacbcbbbcbacccbacccbbaaabaaacaacabcbaccabcabaccbbaabb
+acaccacbbaaccacbbccbabbbcccacababcbabbcbaaabbcbbabcbbbaabbaaaccccabcbacbcacbbccbbbacccbbbcabbbccbccbacaabbcc
+cabccbaacaaabcaacacccabaaabaacabaaaabbbccbccccbaaaccabbaccabbbabaccabaacbcbcaaaaacbaacccbccacbaa
+bccaabccbababaac
+acbaabcbbbcacbabcacabaab
+bbccaaaccbbccbbbcacbcbbabbcbabbcaacccaaccabbabbbaaababcabaabaabacbbbbcc
+cbccaaacabaaccabbacbbacaacaaaacababaabaccbccaaccbabbbaacacabba
+acbacabcaabcbcbbcabbbbbcbacababcccbcabaaaabccabbbbbcbbbcabbabcbabaacacbacccacaababcccaccacbbabbab
+aaacbacabcaaacccbcbbacabccacbbcbbb
+abbcbbbccbcccabbbaabaacbbbbbbabbacacbcbcab
+bccbbbaacabccabcbcbccabccb
+acabccacacaabbbbcccbcbaccbaaaabbaababbbac
+acbcabcbbbbcbcbaacbaacabcbccbbaabcacccccbbcacbabbcabaaaacaaccaaabbbbbbabcaabbaa
+bcbcccccccaccbacbabbabaaccaaaabaaababbbaacbaabccbbbcbccbcbbbbaaaababa
+babbacbabcaabbbccc
+bbbcaacacbbbacaccabbbaaabbaababcacaccaacbccacacacccabbb
+bcaccacbbaccacaacacbbcbabcacbbcbbcaccacbcbbaabbabaacbbbbccaacacbcaccaabbbabacabbbcccabbbaa
+ccaaaccababcbaacbacbccacbbcacbcacaabccaaabbcababacbcaaaacbccaacacbbccabbaaababcabcacbaaabbbbbcbb
+bacabbbbcbaaabbbbbbbc
+cbcacabccbaaacaaaacbaaaaabbbaabcbaabbcac
+acbbccabacaabccabababacbacaaaccccbcaaccbabbaaacacbabacbcabacbbccccabababcbaccaaabaccaabcc
+cccbaabacbbccbaaacbcccccbcacabbabbbaacccabba
+bbabbcbababcbbabcbcb
+baccabacccaccaccaacbcbccabaaabacbcbbbcccbcabccccbaabbacbabcbabbacccabcccbcacacbacabbc
+bbcbaabcccaaaababacacabaaaaccccccacabcbaaacbb
+cacacccabbcbbccbacaaaabcbabbbaaabacabbbcbaccbbcaccbcccbacabcbbaaccbacacacaabacbccbcbbcac
+bccccbbaaabaacbbcababccacbcbbcaaaaacabcbbbbabbccccaaccbc
+acaccabaccababbbabcaa
+bbccbbabaccabcabaaaccbb
+bbaaababccabbacabaaaacabbbccaabcbacabaacccccabcabbccbcbbbbaabcbaaaacbacbcbcccaa
+baaccaabcabcabcbcaaabaaaaacabcacacbaaccabc
+bbbacabcbcbacabbaacaaccaabbabcbababbcbabbabcabacca
+acbaaabbccabbbbabccbacbaaacaccbbcbababcabacbaccbbbcba
+cacccacacbcbbbbabcbcbcbcacacbcc
+abbcbcbcabcbcccccbabaaaacabaabbbabbaabcaaacbbacbcbccacbcabccbabaaacbabaccbcbccbbbaabbbcbbcbbccacbbbba
+ccaacaabbbbaabbcccbcca
+caaaaaccbaacabaacbcacbbccbabccbbbbccaabaa
+cbaabbbbcbaabacbbbbaaaaacabccabcaabccccabccaabcabaccbcbbcacbbaaaabbaccacacbbcbcbabbbaaacccbcca
+bcbbaaabcccbbcacabcbaacaccbbbabccacccbabacbccacbaccabcababbcccbacabacccaccbccccaaccbcbbcbbcbcc
+ccbccbcbcbbcccccbbacccbbbbababbcabcabaccbcabcbabaccaacbabccacbca
+abcbcacaacccaca
+aabcbcaccccccccccabccabcaacbacbcacabcbcacbabbbbbbccabccbaaacbaccabb
+acbaccacbbcbbaacabccbbaaccbababcacbcbabcbaccbbbcbccbcaabbbbacababbbbabca
+abaccaaaaabccbbbccbbbbcaacccaccaaaa
+bcbcbbbbbbccbaabcabbcbcbaaabaabbccbcbabcacbcccbcccbbccacaabcaccccaacacabbaaabbbcababccaabbaababaaa
+abbbbaaaababbacccbcbbabbcaacccabbcbabbcaaacabbcbcabacbccbabcbcaacaccccacbacabacccbacabaabccccbbbcbaacbacacc
+accacbbbccbbcccccaaccbabcabcbaababbbabaaaaccbbbbbbbbbcbbbb
+bacbcaacbbacbbbbbbbacbccbbcbabcbacabbbcbcbbbabacbabccbabccbacbcaabbb
+cababaababaababaaccccaccabacabbcaaabcbcabbcbabbcabcbaabbcacccacbc
+caccbbccccacbbbbabccbacbccbcabacaccbcabcaacccbaaccabacbcbacbccccabbbccaaabccbcbbbaaaababbbcbbcabcaaaabaaccb
+caabbcbbabb
+ccabbaccccbbcacbccacbabababa
+ccabaaaccaabbbababaaacbabcbbabbcbabcccccbc
+acbbaabbcbcabacaaaccacacabbacbbcbccbbacccaabbbbabaabaaccbbacbccccbbbabacbacbacbabbaacaacaabcbacabbaa
+bbcbbaaaabbaaacaaaccacabaabcabcbbcbbabacbbbbbaabcbbbcbccbbcccbbcccacbccbcaabbbb
+bcbbccbaaacbcbbabaacbbaaabcccbaccccbabaccbbcbaccaaabccbccabaccccbaabbabbccbaaabcccbbbbcccabccbbcba
+babbaacaacabaaaccbbbbcaccaaaabbccaccabccababaacaccbbcccaacbcaabaaabcabccacabbcbaaabb
+cbbaabacbaacbbbccaaabcbaabcac
+babbbbbcabbaaaabbbaaccabbaccbcaabaabccbabcbacaacaaacbbcabccbbc
+cabacaabaaacbbababbcaccaaabbaabc
+bacabaabcabaabbaababaabaaaaccbaacbcbccbababbaaaacbbbbaacbaccb
+cabcbabcbccaabcbbcbcbaaaacbccbbacbbabbacbaabaccaccacaaccbaa
+baaccccaabbcacbaaaacbabaaab
+bbcbaaaabacccabcacacabbabbaccbbacacaaababbcccc
+bacccabaaaacababbbbaabcacbbbabaabcbccbacacccccbbabccbaabbbbaacaccccbbcbbaabbcbacbbcbabaccbaccacbccaaccbaa
+bbaaaccbbcabcbaaacaccabcccbcaaabccbbacbbbbcaacbbcccca
+aabbcbcbccbacbaa
+bcacbbaababacaacccbcbbcaabbcabcbbacbcbcbabbaacccbbbbbcaacacacbaabbcab
+bbacabcaabcaaaacabaacaaacccbababbacbaccbcabbbccbaccabcaabbccacbbbcbcabccaabcacbcabcbbbbbcacbcacccbb
+88 82
+abaaaaaaababbbabababbabbbab
+bababaababaaabbbbbbbabbabbabaabbababbbaaaaabaaaaabbbbbabbaabbbaabaaabaaaabbaaabbaabbbbbaaaaabbbabababa
+bbaaaaabbababababaaaaaababbaaabaabaabaaababbbabaaabba
+bbbbbabbaaaabaabaabbaabbaaabaaabbaaabaabbaababbbbaabbbaaaaabbbbbababbababababbaaababaabbaaababaabb
+bababbbbbababbabaaababbabaabababaaabbbbabbbaaababa
+bbabbbbbbbaaaaaabbbbababababab
+babbbbaaabbbbb
+bbbbaababbbabbbbaabaabaaababbbabbbabbaabbaabaa
+bbbbbbbaabaabbaaaaaaaabaabaabbaaabbbbbaababbbbbaababaaaaaabb
+babaabbaaabbabababbaabbabaababbbbbabbabbbabbbbabbabbabbbbaaabbbbaaaaa
+baabaaaaaaababaaababababbababaaaba
+aaaaaabaabbbbbbbbababbbaaab
+abbaaabbbbbbbbaabaaabbabbaaabaaaabbbaaaabbbbaabbabbbabbaaaaa
+babaababaaaabababbbbbaabaababaaaabaabbabbaaaaabbbaaab
+bbbbbaaabbbbaabaaaaabababaaabbbbbbaaabaaaabbaaaabbababbabaababaabaaaaababbbbaba
+bbabbabbabbaabaaabaaaabbaabbabbbbbaabaaabbabbabaaabbbaababbabbbbabaabbaaaababbaabbbabbaaaaaabaabaabba
+baabaababbbabaabbaabaabbabbabbabbababbbabbbaaaababbbabbabababaababbbbbabbaabaaabbbbbaabaaaababaaabba
+baabaababbbbaaabbaabbaabaaabaaabbaabbbbabbabbababbbabaaaababbaaaabbbabbabbabaabbaabababbbaabbabbabaaaabbaaaaa
+aaabaabaabaaabbbaabbabababbbbabbbaaaaabbbaaabaabaaabbbabbaaaabbabbbbababbbbbbbbbbbbbbbbaa
+baaaabaaabbbbaababbbaaaabbbbabbabaaababbbabbabbababbaabababaaaaaababab
+bbbbabaabbbabbababbbbababaaabbba
+aabbbabaababaabaaaaabbabababababaaaabbbaaabbaabaabbbbaaaaaaaaaaaababbabbbaaaaab
+babbbbbbabbabbaaaabaabaaababaaaaababaabbabababbaaaaabbabbaabababbaaaaaabb
+aaabbbaaaaaabb
+baababbbabababaaaaaaababbab
+aabababaabbbbababaaabbbabbbaabaabbababbbabbbaababbaaaabaaaabbabbbabbbabbabbaaaabaabaabbbbb
+aaaaabaaaaaabaabaabbbbbbaabaabababbabbbabbbaababbaaaaaaabaabaaaabbaabbbaa
+abbaaabaaaabbaaabbaabbbbbaaababaaaaaabababbbbbaabbbaababbaabbabbbaabba
+abaabbbaaaaaaaaaabbababbbabaaaaababbbababbbaabbbbbbbaabbbbabaaabbabaaabb
+baabaaaaaabaabbaabbbababbbabbaaaaaabaaaabaabababbaaab
+bbbbbbbaaabbababbbaabbbbabbabbaababbbbaabbbbaabbbbbaaaaaabaaabbbaabbbaaabbaaaba
+abbaabababababababbaaabaabaabbbabbabbbabababbababbbaaababbbbbbbabbaabbbaaaabbbaabbabaab
+bbaabaaabaabaabaabaaaaabababbbaabbbbbaabbbbabbabababbbbaababbaaaaabbabbaaabaaaabbbaabbaaaaabbbbabbbbbabbaa
+baaaaaabbbaababbbbbabaabbbbbbbbabbbbbbbabbabaabbabbabababbabbbabbbabbbbaaabbbababbaaaaaaaaaaaba
+bbbbbbabaaabaabbaabbbaaaaababb
+baaaaaaaabaaabaabbbbbaabbaaaaaaaaabaababbabbbaaabbaabbbbabbabababbabaaabbababbbbabbaabbabaabbbaababaaaaabaa
+baaaaaaababbaaaabaabbbababbbabbbbababbbbabaabbaabaaaaababbabbabbabababaaabbababbbaaabbbbabaaabbaaabb
+aabbaabbaababbbbbabbbbabbababbbbabaabbbabbaaabbbabaababbabbbbabbaa
+ababbbababaabababbaabababbbabaaabbabaabbbbaabaaababbabaabbaaaabbaaaaabababaabbbbbbbaab
+abbbbabbaabbbaabbbbbbaaaabbaabbbabbbabbbbabbaaaabbbbbbabaabbb
+abbbabaaabaaabbabbabbbabbaaaabbbbaaaaaaaaabababbaaabbbaaa
+aabaabbbbaaaaabbbabbabaaaaabbaaabbaabbaaababaaba
+bbaabbababaabaabababbbaabbaabaabaabbbbaaaaabaaabbabbababba
+babaabaaaaaabbaaaabb
+abbaababbbaabbbbbabaabaabbbbaabbbaabaabaaabbaabaaaaabbbbbbaabaabbbbaababbabbbaaaaabaaabaaaaababbbaabbabaaaa
+babaaababababbaabaaaabbbaabbabbbbaaabaaabbabbabbaaabbb
+aaaaabaabaabaaaabbabaababaaaabaaabaaaabaaaaaaaaabaabbababbaabaaaababababbbbbbbaaababbabbbaaaabbaaaaaabaaba
+aaabbaaaaababbbabababaaabbbabbbabbabbabbbaaaabaaabababbababbbbabb
+aabbbbaabbbbaabbabbabababaaaababaabbbababbbbaabbaabaa
+baaaaaabbaaabbaaabbbbabbbabbbbbaabbbbaaaaababaabbaabbaaaabaa
+aaababbaabbababaabbaaabbbaaaabbabbaaabbababbbabbabaabbbbaaaaabaaabab
+abababbbbabbaaaaaaaabbbaababbabbbbbaaabaababaaaabbaaaab
+baabbaabbaaaaabaabaababaabbabbabbbaaaabbbabaaaabbbabaababba
+abaaabaaaabbabbbbabbabaababbaaaabaababbbaaaaaaabaabaabababbaaaaabbbaabbbabbbbbaaababaababbba
+abbbaaababababbbbbabaaabbaabbbbbaabbbabbb
+aaabbbaababbabaaabababaaababbaabaabbaabbbbbbabbbabbabaaababaabbbbabaaaabbbaabbaaabaaababaababaabbaa
+aaabbabbbbbbbbabababbbbbabbabbbababbaaaaabbbababbaaaaaabbbababaabbabaaaaaaabaabaaaabb
+ababaaabaabbaabbaaabbaabbbaaaababbabaabbabbbbabbbabbbaa
+bbabababbba
+abbaabbaababbbbaaaaaaababbaabbbababaaaababba
+bbaaabbbabbabbabbbbabbabbaaaaabbbbbbbbaaaabaaabababaabbabaaaaaababbbaaabaabbaabaa
+baaabbbabbbaabaaaaaabbbabbabbaaaaabaaaababbabbaabaaab
+bbbababbbaaabaaaaabaaaaabbbaabbabaabbbabb
+bbbabaaaaaaaabaababaaba
+babaabababaaaba
+bbabbbbbbbbaaabbabbabbaabbbaabbbab
+aaabbbaabaaabbbbabababbbabbabbabbaaaaaababaabaabababbabaabaabbabbabbabbbbbbbabbaabaababaaaaaaabaabbbbbbabbb
+baaabaabbbaaaaababbaaaababbabbababaabbaababbaabbbbaabaabaabbbbaaaabaaababaaaaabbbaa
+bbababababababbbbaaaabbbabaaababbabaaabbbabaaabaaabababbaaababaabaabbbabb
+bbbbaaaabaaabbbaaababaaabaabaa
+bbbabbaabaaabbbbabaabbabbaabaabbaaabbaaaabaa
+bbababaabbabaaa
+ababbababbabbbabaaabababababaabaaabbbaaabbaabbbbbaaaaaabababbaaaabaaabb
+baabbaaaaaaababaaaabbbbababbabbbaabbaaababaaabbbbaabab
+abaaabbaaaaaabababbaabbbbbbbbabbababbaab
+bbaabbbaababababaaaaaaabbbabbaaaaaaaaabaaaaabb
+aaababbabaabbbabbbaababbaaaabbabbabbabbbbabbaaabaaabbbaaaabbbbbaaabbbabaababbabaa
+abbbaaaabaabbbbbbbabbab
+abbbbbbaaaa
+bbbbbbbaaaabaaaababbbbbaaaaaaaaabbaaaaabbaabbaabbabbbabaabbaabaaabbabbbaaabaaaabbabaababb
+abbabbbaaaaaaaabba
+aaaabaabbbbbbbabababbbbbbbaabbb
+aaabaabbbbabbaababbbbaaaaabababbabbaaabbabaaabbaababbbababaaaaabbbbbabbbaaaababababbbaaababbaaaaabbaaabb
+baaababbaaaaaabbbbabbbbaaabbbbbbbbababbabaaaabbaabbbbaaaaababaaabbbabbbabbabaabb
+bbaababbbbbaabbabababbabbbbbbbabbbaabaabbabbbbbabbbbbbaaaaaaab
+aabbaabaababaaabbaabbbaaaaaaab
+ababbaabaabbbaaaaabbaaaabbbaabbaaabbaa
+abaabbbaaba
+139 42
+ccbbbccacbccccaabccacababccccaabcaaaaa
+ccbbacaaaabbaabbcaccabbcaabbaacaacbabcccabcabbcaccbcacbaaaaaabaabcabbaccbb
+acccbcbcabaababbbacbccbbaaaccaababbaacccccbabbbbbacbabbcbbbabbcbccbccccaaacbacccacaacbc
+bcababbabaaabacbabcbaacbbbbbbccabccbbcbb
+cbbcccaabcbcbaacbbcbaaaabcbccbababcabacbabbcbaca
+aaaaabbbcbaabcccccaaabbccccacabbaabbbbcabaacabcabbccbbccaaabbbc
+caaaabcaccacaaccbcababbcbbacccccaaacccaabacbcbcbbbabcbaacbbccccaabaaabb
+bccabcbcacccbabcbacabbacbacb
+cccaaabaacbabcababccaca
+cbaabaabcbcbabccbbbbbbacabcabbcccbacbcbacbacbacbbabacaccaabbaccbbac
+bbaaabaccabbccbbcabcbab
+cacbbcbbabbacbcbccbbbcbcbccbabcbccbcbacbaaabaaaccbcabcacabbbccccbbacbabaacbcbabcbaaacacaacbbaaabcbbabcaabc
+bbcccbabbacbcbabcbaacabaabbbaabcacbbacbcbaccacbabab
+acaaabbacbcccbccacccabacacaabaababcacbcccbccbaccbcabaaabbccbbbbbcbbbaababacccacbbacaacaacabbacbabacc
+bccaabaacbcccbaccaaaaccaccacbbbcbbabcaaaacbabcabbaaacacaabcbbaaaaaacacaacccabcccabacbaaba
+ccaaabaaaccaaabbababbacacbbabcabaabccaabbababaccbccabacabbbccaacbaccbcccbaaaaabaa
+cabaccacaacababacaccabcbabcbabbabcbcbacabacaacbccbccbacaaccccaaccaccbbcaaabcccccaabbcbbaabaabcbcbacbccccaccb
+cbabbabcbcaccbabacbbabbbbaaaacaacccaacbccabcacbbabbaaabaaabaa
+bcbccccbabbacbccabcca
+abbccbaacaccbcabcccbbcacbcccbbacbbcbbaabccabcaaaccbaacbbacbcabaabcc
+cababcacbacbbbaacbccaaabbcaabcabcbccbabcabcbaaaccbccacbaccbabbabbacbabacbacaacbababbbcabcbccaccaabca
+bacaccacaaccccaaabccbaccacabacbcccbcaaacabbaabaacbcbbccacacbccacbaccaabcaabbbbcacbcbabbbbaaaaaaaaacab
+ccbacbbbccbcaaabbaacccaaaabcacbabbbcaabacaacaabcbbababcccccbcaababacaaabababaaaacacabcac
+ccaaacbacaaabccaaaccbbaabacaaababbccababbbcacacaaaababaaaaabcbbacaabbaabccabaaabbbcabbcbabbccabcbb
+cbbabaaaacbabcbbbccaacbaaccaabcacabbccbbbbbcaacabbbccabcaaababbcbcabbabaabbbaaccbcabaccbcbaac
+bcaccbcccaacbbabccccacaccaba
+bbcbaacbcbcc
+baaccbbbaccacbbbaaacb
+ababbcbcbcacacccbbbbaacbcbcccaabcabaaacbaaacabbbabccaabacbacaacbbcababcbaab
+aaaaccccbbaacaabaaaacaacaabbbabcccbccbcbccbbccaacabccaaccbacacbbcabbbcbabccabcacbaabc
+abbabcbacababbbabbcacbbccbccabbabccabcacccababcccbbcacaccbbcacacbbacbbccaccbccca
+ccabcbbbacaabaacbaccbbbbccaabbbccabbcbaabaabbbcccabcccaababbb
+ccaaaabccacabccbaaacbcbbbbacaccaaaacbab
+bbbabacbbbcaaacbccacaacaabcbcacabcabcbccaaccacabbcabcbaaacbbbcbccbabbabccabcbaa
+cbbbccbcbbcbaaacbbbabcbaaacbccbacaaacaabccbcacbcccaccccbaaabbbacabbaaaccaabbbcaabaa
+bbccccbacacbcabaacbaccabcccccbacabaacaaacccaacbbbbbbcaa
+cbaaacbacccbcccacabaaabaacaacaccabbabccaacaccaacccbbcaccbbaa
+bbabbcabbbaaaacaaac
+baacabcacababcabccabaccaacccabcabbabaccbccbcc
+bacabbcccaabbcccabbbaabaca
+accabababcacaccbccabaaabbbacbbcabaabcaaccabbaabcbcabaaaaacabbbabacacaabccaacabcaacccbbc
+caaaaccaabbca
+bcccacabbcaaabcaaabaaaabcaaa
+acabbcbbbbaabbabbaaacbbaabbaccccbbaabbbbbababacbaacb
+bababccbbbbacbcccbbcbbccacabacbcabcccaacbcbccacabacbcbaaccabaabaaabbacaacbaacaabbbabcccaaaacbbcabcaaaba
+cbbcbbbaaaabacccbacccabaaaabccccbccbabaabbaaabccabaaabacbbabcbabccbabbaabaaacbcaaacc
+abcbabaccccbacbabcabaccaababccabacbccacbacbacabccccaabbaaaabbabcaaabbcabaabcc
+caacaaabbccbcaabcbaabcbabcbbbacbcbaabcbacbccccacbbaaabbaaacbbaccbccbacccbbaccbbbbcababbbbacccbbaabccab
+abaacbcaaabbbbaccbaacbbbabbcbbaabcbbbbabcaccccbbbacacacabacaccbaacaaaaabbbccacacaacaaaacabaccb
+cbabbbccaacbccabcacccbaccccccacbbbcccbabaaccababacb
+cbbbbaacaaabcaaaccbaaccaabbcabccababacbbccbbcaabcbccbccbaaaaacbbcaccbcb
+bcabacbcabccbcacbbccbaabcbbbbaaaaccabbbabcbaababbbcbacabcbcbbabcabcabaacbabbcacbaccbbbccca
+cabaaacacacaaabbabbcababcaaacccacbcccbccbacbbbcbbcaccbabababcbaacaaccccbcbacbbab
+abbbabcbbcabcbcaacbcaaaccabaacabaccbcababbcbbcaabbbaacabcbacbbbacccbacaaaaacacaaccababcaccbcbbbacbba
+aacbccacaccbbccacbbaccabcaccbccaccabccaccaacacabcaaaa
+aacbaabbcbacacacbcabbcccbbcccbccbbcbacaaacbcbbcab
+aabbbbaccccacabcabbabbcbccbcaaacabbcacbaaaaccbaabcbcccbcaaacabcabcbbcaabbbcbababcaaacbbcbaaab
+aabaaabababaaacbcac
+abbccccacbaccacbcbcbbcbcacbbacabacaaabacbabcbacaacacccbbbbbcacabccaaccccaaacccabcabbaacabcaaabbcacccb
+bcaacbccabacbacabbca
+caabacbccacbbcbbaababcbcccbabbbcacabbccaccbbaabbaabacbacabcbbaccaccacccbabbcaacbbbabbccaaacabbacababacbcac
+acbbbbcbcbabbbacabcbcccbcbcaccccb
+baacacacabbcbbaacbbbccbaccccccbbcacca
+acbbbacaccacaaabbbbbbacbababccbcbcacbbcbcacbcbaccbbcbcaaaccbaaabbcbbabcbacccbacbaaabbcaaabcacccaaccbb
+abccbabccaaa
+aaacbcacabbbacababcccccaababccacabbaacbaaaaaabcbccccaabaaccaacbaabcccbcabbbaccbcaaacacccbbabbbaccbcacab
+abaccaccaccbacaabcbcaabacbaabacaaababcccacbca
+aaccccbbcbacaccacacbaba
+baaabaccacaabacabbcaacbaaaacabccbaaabaaabaccbccacccbaacbabbacccabaabcaccaccbbbabbbaababcba
+baccbacbbabbbbccbbacbaabbcaacbacaacacbccccccbbcba
+baaabcaaacaccbacabcbcbcacacaaccccbcabcbcaacccacabccbbaa
+baabbabcabcbbabccabcabbacccccabacccbaacbacccbccccab
+ccaccaaaacccbbbaabaabbaacacaccbaababaaabcbacaacabcaaabacccbacccbbaccbccbbbabcbbbcbcacbacabbca
+acbccabbabbbbbcabcabbaacabcabbbcbabbabcccbaaaccaa
+cabaabaabcbbcabaab
+caabbbcabbbcaaacbacaccabbcacbababacccaaacacbcccccacbccacbbcacacaccacbacbacbcaccbaccab
+cbbbbcaccaabbbbbccaabcbbbccccabbbbbbcaacacbc
+abbabbccacaabcbccccbbbaaccbcaabacbbcbbaaabaccaccacbbaaacaaabcaabccb
+cbbbbcacababcababbbbcbbacaacabaaabbcabccbabaaaaaabaaccccabbcabaccbbb
+bcbabaabbbcaabbcabbcacacbbabbcbabcaabaaabcbbcbaacbaacccbbbc
+acbbcbacccbacbcbbabaacbaacbbaabbacaacbaabbabcbbcbaaabbacabbbcbaaaacacccbccbaacabbbcbbbbccacaaaabbac
+cbabacabaabbcccccbbcbaabbaabcbacaaabaabbacaccaaabacbaccacbaacbccbcbbbccabacccbccbcb
+cbbbabcbacabcbcbbcaabbaaacaacabbcaabbbbcacaccbacaccacaaacbbabaacbabccabcbccbacabbacbaccbccacbcb
+bccbbacaabacacbaaccac
+bbacbaaccacbcccccbaabcacbcbbbccbb
+abbbbcaacb
+bcbbbcaacaacabcacacbbbccacbabcabbcacacccbb
+bacabcabcbbcbabccbbcaac
+aaaabaccbababbaaaabcacccbaccaabbaccbbbccccabacbcccabbacabcab
+baaacaaabccabbbbbabbbcccccccbbbcaccccbaaacaabaaaacccacaccbbbcaaacccacbbabcb
+baacbacbccbcbaacabccabaabcbbcaabbabbacac
+abaabacaabccbcaabbbaccccababcbccbccccaaccbbbcacccbaacccabcacbaacbcaa
+cbaacacbbbacabaaaabccaabcbbcabbccbcbccbabbbbabbcabcbbccbcaabababaaabaaaacbcccacac
+aaacbbaccbbbaabaaaaccabbcacbccaaabbabbbbcaacbbcbbbabaacab
+bbccbababccbcaccbcababaacbcbcaccbaacabcabccabca
+acbaabbbccbaaacbaccbcabbcbcabcaccaccbaacccaabbcbbbacbbbaccabbccabcbcbabacacbacaabca
+abbcbcbbbbbccbcca
+aabcccacbacbbacacccaccacccaabaacbcbbbbabaccabacaccbaaaacbcabbabacabbbaabacbaaaabbaaa
+bcbbababccacacaac
+acaabaacbaabababacaccaacccbacbbbbaccbcbcabbccaccbbaccabcbccbcbccbabbcbacaccbcacaaaccbacbacaacbbabcc
+abcbbabbcbbcccbcacaa
+abcbcabcaaaaabccccbbcbbccbbbbaaabbacac
+aacaacbcbbaccbbacaaaccbbacababcbbb
+babccaaababacaabbacbccbbcccacbc
+bbcaaaaabcccbcbac
+bbbabbcbbbbcbbcacccacbaabbbccbbcccbabccbabaccbbbaaacbbbbabbaaaabcbbabcbca
+cbbaacaabbcaccaababaccbacabbbcabbabccccccabacbbccbbc
+abcabaaabaccbacabbbcccbcbccbbaaacac
+abacbabbaccccaaacacccaacbaccacbbbababcaaabcabbbccaaabbbaabcaaccbacabcabccaaccaaaaabccbcaabacbbc
+ababbbaabcaccaaabbccabcbaacabccaabccbb
+cbbbacccbbabbccbaacacacbacabccabbbbabc
+abbcbcbacaabccbabcaabaacccbabcccbbbcbccacaccccbaabca
+cbacabbbcbaaaaacbc
+cbbbbbacaccaaacccabbaccaacbcbbbaaccbbaabaabbcccccbacccbabcbbbcbcb
+bacbcbaabbcbbbcbcacbbcbbcabcbccbccaabccbcccabcbbabcacbbbbaccccaaabcbcbbaacbbccabcb
+aabbcbabbaaababccacccaabaabcbbbbaabbbbababccb
+acbcbccbacacbbccbbcbbacacbc
+acbaccaaaaccbbbaacabbbcaccbccaacaaacbacabacbccaaacbabccbacbabccabcbbcbccbcacbabccbc
+cbcabbbcaaabcbbaacccabbabccc
+caacacbbbcccaabbbbac
+accababccabbbbbcaab
+ababbabbccbbccbaaca
+cacbcbbcaabcabbaacbcabacaccbababccac
+bcabbcbbbcabcccccaabacccccccabccbbbaabccbccbabcbbabbbccbaacbbbaccbcbacabccacbacbaacaaabbaaaac
+baaacbbbababcaacbbbcbcbccbcbababbacbcbacccababcbbacaacaacabaaacbacacbbacbcbcacabab
+ccbcbbbbccbabbacabbbcccabaaabacccabbbcbbaacaacbccaaaaccbacabccbbaabccbccaacba
+acacbbbacabcaaaccabababbaacbccaab
+cbaaacbacccbababbcabbbcabbaaa
+cacaccbcbaaabbbcaccabaababacaaaaabaccbcbbabcaabbccabaabbcbcbbcaccabcacbcaaaccabbabacc
+cabbbcabacabccccabaaabbcabbcacababcaccaaabbbcbbbacbaccccbaaacabbbababcaacbcaabacabacacbaabcabcaaaaacbaacacc
+cabaacbcaabbac
+acabbbcbbabaabccbbbbbbaacbacbcabaabcccbccbbacaccacaaabaacaaaabbbaacbbabcccbabcabcccaca
+ccbcbcaaabcaabbcccbaccabaaccccbbbacabccccabaaabaaabacbbbcbbbaabacabbbbbc
+bacaaacabbbaabbcccccccaaaaabcbbacccacbcccbabbbaccbbcbbaabccbbbbacbacaccaacbbbcbbacacaccca
+bbbcbbabaacbbcacbaaaccbacbacaaccbaaccc
+caacacbbbbababbacccaabbabcbaacbaaaccbccbacabaacbbaaaba
+bcbbabbbbcabababbaccaccacbacbcbbaabaccbaabbabaaacaccabbccaa
+bbababaaab
+accbcaaabcbbcaacacbcbbaaaaaaacccbab
+280 177
+aaabacbccaaaabababcccaccccbaccbbbbcabbccbcbacbcbbabbcccccccbcccaccaabbbacbababaaaccaccba
+cabaabbabbacbbabcaacbbcbacaabacbaa
+cbbababbbaaaabcaababcbbabaabaaaaaacbabbcccaaacbababbbaabbaacabaabaccabacbccacbcacbcbcbbabcbbaabcabbccabbccbac
+acbaacccabcacbbbbbbabacabccbbcaaabb
+cbaacbbbaacccbbbababcacbbacaaacbabbbccbbacaccacbcababbabcacbbacbcaaabacabaacbcbcacbbcccabcbcbcabcbb
+cbcbcacbcaabaabbbacccbbbaaacccbbbaabccabcbbabccaccbcbcabbcbabbabbbacca
+bbbcacabbcabbabccbbbbacaccccccbbbaacbcacaaabcbc
+bcacabbcbcbabbbbbcbcccabaaabccabbbabbbaaaabaabacacaabccbcbbcbcaccccbaaaccc
+caaaacbbabbcbbcabacccbabbbcbbbacbcbbbcabcababaacbacbbcabccabcbbbccbcaacabccaba
+accbccabccaabbcbbbcaaacbacabcbcaabcbabcccbbcacaabbcbbabccaacbccaccaacbbbcb
+accccbcccbbabaabccbabbcbacbbbbcccccbbabbcbabbabababacbaa
+bbcacacbbaaabab
+aacbcacacbbcabacbc
+bcccabcbbbcbaccabca
+bacbbabacabbabccabacbcccaaaabacbbcccabcccaacabc
+cacaaaccaabccbabaabaccacbabacbbabbbbcbbaaabababbacbcbcbaaccabcacabcbacbbca
+aacbabbccbbcabcbcac
+babacaaccaabbbcccbcabcaccaacbabaacacabaaabccacccbbcbcaabb
+babbcbcbcaacaabccbcbcbbacbcabccccccbbacbbbcaabbabbbbcabacbcaacbcbcaacaabacccbacacabaabccb
+bbbbcaacaccabaacacaaaaaaacbbbbababac
+bbcbbabbcccbbbcccabaacbbbbccabcccca
+ccccbabcbaccbbbcbcacaabcacabcaabcaccccbacabcbbaaacaacaabcbaabcbcbccbcaaacbabbc
+cbcbacabcaaabbcbccbacabbcccbbcaabcacccbbacabaccbca
+bbcaaabbcbacccccccbcbbbcaabbccaccbbbbcbabcababbcaac
+aaaaccabaabacbbcabbabcaabbcbbccccaabbbcacbaccbcc
+bcaacbbbcbbbaaccaabaabbcbcbbacbaabbcbccaaaaccabbccccaccabacabccbccbbbacbcccccabaac
+bcccacaacbbcbcbabbcaccababacaaaacacbcacbbcaccacaabaccabccbbbcbccbcbbbabccacbcaabaa
+aaabcabbac
+cbabaacccaccccabaac
+babcacaaacba
+abcbaacbbacacacccccacaaacbbbcbbaaaaaabaaaccaaaccacbaabbccacbaccabaabbabb
+babcaaccbaabacccbccabbaabcacccaccacaaccaccaababcccccacbbbcbccacbbccbcbbbccbbbcaabbcbbbcabcaccbaaacaa
+babbacacaacbbcabccbcbbabbaacccabaccbbacbbabbbbccacababc
+aabbbabccbcabcbbbacaabccaabcbbbccbcabcaabcbacbcaaabbbabcabacbcccbac
+acabaacccccccabcbacbcbabccacbbaa
+cbbabaacbccacaccccac
+acbacbcbacbbccccbaabbabbbac
+bbbbacccbcccbcaaacabbacaaccbaccbaccacbacbabbaaccacbabbc
+ccbacaacbacacaabcccbaacabbaaccabacaacacacbabbccbbcbabccbacaacbabcbbcaaccab
+baccbcccabbbcaccaaacacaaccbbbbbbabcbcbbbbbaaabbbababbabcbbbbcaacabaacaabcccababbbcabcbbbcbbbca
+abcabbacccabcbacacaaaaaccbccbcaaacbaaaccacbaaccabbcbcacabcbbbcacbcbacbacabbcabbacabbcccbcabbaabacbaabbbbab
+baacccbcabbbacacabccbbbcbbaccacbbbccbababcccccccaaaaaaacbcaccbabcbacccbbcabccbaabbbcaacb
+bccbcccbbcaccbabaaacbbabbbcaaabaacabcabbaacaabcaaccacbccccacbbccbaccbcbbabccac
+ccbaabbcabaccbccbcabbaabcbcaaabcbaaacbcacbbabaabaacbaabacbaaccbbcbcbacbccbcbabaaccbabcaa
+bccccabbbbbccccaaacabbccaaabbaaacbababbbcacbacaacababbccabbbcbbaacaaacaaaabaacabbbcbbacccabcacbbbcbaaaac
+aabcbabbbabcabaacbaabbcaacbaacbcbcccabcaaccbbb
+ccacbcbaccaaccbabcbabcabaabccccbcaaabccbcaababbbabc
+cccaccbcabbacacbccc
+bccbccacbcbcbaacbcccbbacbbacaabbaccababbaccbcabacccbaccaabaaccaccccaaacccabaaacacaabcbbcaa
+acbccaaaabcaaccabccacbaabcabccacabaaaaaacccccbbbbcabcbabcccababaaacbaabccc
+abbabaaaabccbbbbbccbcaaabcbccabacbbccbacbccaacccabbbccbbcaccbcbbaabcbacccbcba
+aabacbcaccbbcaabcbbaaaaaccabcaaabaaacbb
+cbacbacbbcacacaabbcccaabcccabbcaaaabcababacbbabacbcabacbaaccccacaaaaacbcbbacabcaabaacaacbcbabbcacbbacbbb
+babbcaacbaccbabaccacccacabcabbbbccbcccacacbcbbcaababaaacccabbabbcbabaabbbbbcbcaabbcb
+ccbbacacaaaaabcbacacaababbccaacbccaaaacabbaaacccbcbbacaaaccbcbccababcab
+bcbcbabacacabacaaca
+cbbaccabaabbacaaccaaaaccbabaaaccbaccaabcbcabccbaaabbcaccccaabacacabccbabbbbbbcaacaccacbaabaaaabcacb
+cbacbbacccabcaaacbcbbbaaaccabcbcbbabbccbbbbaccaaacbcbabbcccbab
+cacabbacbcbbabcccbbbcaaccbccbaabcbcbbbbbaabcbcbbcbbcaccacaabaccbabbccabcabcbaaacbbcbaaaacc
+cbccbbcacabaacbcbbaaccbbccbcbcaa
+cacacbcbbaabacbbbbabbcaccbbaacacbcccbaabcbacbaabbccccabbabcbacaccacccabbcaca
+abbaaaacbcabccabcabccbbcbacacccbbcaacabaabbacbbaacbacabccbbcccbcacabaabcbacabcabaaccbccbababbbbaacacacc
+caaabacacababbbbcabcacaabccabcbbaaccabababbaccbbbaaaabbbcbabababcacbaaca
+acaaaaacacbcbcbabbbacccbbcbacaccbaaacccacabcabbbaacaacbbacbcaacbab
+bbcbccbbbcccacccbabccbcaaabababbbcbcbcbbbacabbbcbbcacaacccbcbbbabcbbcaabcbaacccccbbcb
+babbbbbabbabbcaaabbcababbcacacbbbabcaccaaaababccabccbaabcbbaacbbaababcacccbbbbcacccaabcccbacb
+ccccabcccaaaacbaabcbbccaabbcaababababbbbbacbabcbbccbabcababaccaaab
+ccbabbabaaaaaabacaabbbabbbaacccabbccccacaaacccbcbbcacaaaaccaacbbaaabaabcaaabacbabb
+cbcaaaabacaaaaccbaabacaccaacca
+aabaaccabccabbaacbcbbabcaaacccabababbbaacabcacacab
+abaccbbccabcaccababcccbaabacacbbcaabaacbccbcccbcbaaaaabacbacaccccbcbcbbcbcacbabcbcbccccbcbbbbbbaaab
+ccbabacbbcbbba
+cbcbbbcbcaaccbabbaccbcba
+aacaabccaccbccaaabbcaabcabababbbccaccaabcbacaacbacccacacabaabcbabacccbbaabba
+abaabcaacaccaacabccaccbacbbbaba
+ccacbbabbababcccbacabcbcaababbcabababcabacbaabbccbccabbcacaacbcaabacbacbbcacbcaacaccbabbabccbccca
+cccbbccbbaccbababcbabb
+cccccbabbacaaaacbbbacbcbbcbcacbbbaacbabab
+babaccaabacbacacbbbbcbbabaccbccbaaaabbaaacbcacccbccaabcacaacacabaacbbccb
+bbabbbbbbcbcccbabaabaccbbabbccaacacacbcacb
+ccccbbbcbcabccaacbcaabcbccbbcb
+aaccbacacabbccabbccabcabbabccbaacaaababccbaaabbcabaacbacaaacaaaaaacccabbabbccb
+caaaaabbcacaccbbb
+bcabbbbabcbbabab
+aacbbcbcbaaacabcccabbacbcbcccacccbcccccbbabbacabaacbccaacc
+cbcbaaaacccacababbbbabcaccbcaaca
+bacbcabaaaabbbbabcaaa
+bbbcaacbccbcbccaaba
+aabcababaaaaaaccbabbbccccbcabbcaccaaaacaaabbbbbbccbabacccbbbccabcbbbcbbabaabbcbbabbaaccaaccba
+bbacabcbcaaacbcbaabbacbacaacabbbababbccccacacbaacbcabbabaacaccaabbcabaa
+babcaccbbbcbcbaaaaacabaacb
+baabcabccbbbcbbacbccccccacbbbabaaaacbbbcbcccaaab
+abcaaacbcbbccaccabcaaabacbccbacbabcccbcabbababbcaacbbcacacbabababccbbcaccbbb
+acbbaacbcbcccbcaacbcaababaabccacbbbcbbbcbcacbbbbacbbbbcaaababcabbbaacabbcab
+cbbcbbbacaccbccbaabbbbaacaccbcaaabbacaaa
+cbbbabcaacaabbacacbccacaacbbacbcbbccacaaacbaaabbcbaacbabcbcccaacababbcabaaabcbbbcacaccaaa
+ccbccbbcacaccccbccacaaccacbccccccbaaccabaabcbbccbacacb
+abaaaaccbaaabacacbaaabbacaacbbccabacbbbcacabcbbcbbacbbaacacabbabccabbcb
+bcaccacaccbbccacbbbcccababbabcbaccbbccbaacbbcbac
+aaccbcbcbccbbbacacab
+bccabccabaccbcaacbcbabaaa
+acacabbcbabbbbccbbabaa
+caabcaabaccccccacccbacbbcbabbacaccabaabacbacccabcccba
+baaabaaabcbabcbbcbbbbabccbcacbaccaaababccaabbcbbccaccccccbabcabbccccc
+aacbabbcacbabaaacbbccccabcaabaabbbbccbbbaaccacbbabbccacacabbbabcccaaabc
+bbbbcabbccbcbcccabcabcbc
+bbacaababbcababbabcbccacbaabbcaaaccaccbbcaabcabbacabaccacbcccbabacabaacabccccabbbabcabbabbcbbbcaabcbabbbcacc
+aababbabbcaaaaabacbacabacacbabccaaababbcbbacbcbbbaccbacabcbacabacaa
+abbabaacbcabbbbbabcaabccacaaaac
+aaacbcbaaaabbabbbbaabbaabcbabbabaccbbcaaaaccbbabbccbaaaaaaabbbcaabbbb
+cbabbccaaaccbcacaaaababcabaabba
+bacbcaaacbacabcbcacbaabbbccccabbacb
+caaaacacbbcabaccbbcacababcabccbaccbbbbcccbcbcacaaaaaacaaccbccacb
+bccccbccabacaaabacaabcaaccabbbababaaaaacbbcababbaabcaabbcbacc
+bbccbaacaaacbacc
+bccccbabbcbbacbccbcbabaaaccbcaabccbcbcacccbaabbbbcaacabcbbbaacabccccccbbbbbcbccbcc
+bbaabaaacbaabbcbabaaccccbbcbababaaacaacbcbccb
+cbccbbaacaaccbbbcbcbcbcccbababcaaa
+accaaaacbcccbacccabaabbcbbcbbabccccaccaccaacbcbaaabacbbabacbccacbcbabacaabbbaaabcbcbbabcaabacabbababaababbcbb
+cccbcaaabbcbcabbacbbaabababbaabbaccabcbabbbcccabaabccbcbabbacbbbabaaaabaccaabaa
+baababaaaacbaabaaccaaaaabcabaaaacaccbaccbbabccbbbabbbacbcabaaaaaaaccaacbcbbaaaaabcacaaaabbbab
+bccccbcbccbacaaccabcbcbabccacbcbbcabcaccaabccac
+bbcaaccbcacacbccbcaacbaacaabcccaccaaacabbcabcbabababaacbcbaababcbbccaabbccacbacbbbabccabcaaaacaacaabb
+cbbaaabcabbbcccacaaaaccbba
+ccbbcbbcabababccccbaab
+aabbcccaabcbbacbbcbaa
+bbbaaaaabacabbbcaccbcccbabcbabcbcacbaccccaabacbbcaccacccabcacacaaccbaacbaacbabbcbbaaba
+baccabacabaaaaccbbbcbacccaaacbac
+bbabbcababccccbccaccbacabcabbbbccccaacaabcabababaacca
+bacbababacacccbaacbacabbcbbbbaacabcacacbcaabccaababbbaabcaabcbacbbbbaacabaacbccacbacacccbcbbacba
+bbbcbbacbccbaacaaccbcbbaccabbcaaaaacaccacccac
+bcbbbcbbacaccccacabacabcaacbbaacbcbabcacc
+baccbbcbbbcccbbcaccbbbccabcaccaaaacbbbbababbbbbaccccccabaaaaababababccba
+bbccaccaaaacbaabaaaabaacaacbbbbbaacccaaccbcaabbcaa
+abbcbabccccaabaaacaabcaaabbcbbcbbacbbacbbbaacaaacabbbbcccbcccbcbc
+cbaabbcacccaacbcccaaaabccaabaabbca
+cbccabbbbcaabaccaacbbabbbaaabcaaacbaacacbcccbcaaabba
+caacbaccabaaabbcaababbcbcbaacabbaccabbbbbabbcbbcabcbbabbaabababbbcccbcbccaac
+bcaacbaacbcaabcabacbbbababcacacaacbbacbbcbcbbaccbbcabbcacbbcbccacbbccabbbbcacbaccbaacacbbcccbcbacabca
+babbccabbccbcbabcabccccccaacabacacababcabbabccaccaccacbbbcacabbacbaacbacabaccbbbb
+bacccaaacccbcccbcacabaabaccc
+aaacaaabbbabcbcccbccbcbbbaacaaccbbbcabbbbaabccbbcbaacabbbaccabbacabacbacbacbaccaaacaabaabcaaca
+aaccbabbaacbbcbacbcca
+aacbbbbabbacbcbcbbcacbacabaabbabbcaacccbccaabaaabb
+abbccbaccaabcccaaaccabbcaaacccbabbccccaabbcbaccabbabc
+acacbabcabcbacbcabbaccaacccacccbccbabcbabcaabbccbcaabaccaacacbcbaabccaacc
+baacbbbaaaacbaaaaccabbbbccccaabababbacbbbbcaccacaabccbbcbbcabacbcaabbacbbbcbbbbbcabccabcbba
+cbbcabbbabbabcbcbccaa
+baccbcabbbabcaaacbcccabbbbcacbabacabbbbbaaabccbbbaaacbaaacabcbc
+bbaaacacbbccbbbbab
+abcaacacabccacbcbacccaabcbabaccaba
+acaccbcacbacbcabaacabacccabcbcbaabccbbaccaabbbccabbbbcacccccccbbbcabcabbbcccacbaabbacbccbaabbbaabcaaacabaaccb
+bacccaaabbcabababba
+bbacccacbaccbbabacabbcabccca
+abbaacbbacabbaacb
+abacacbccaacacbcccbccbbbaccaacaccbbca
+cbaacccbacabaabbbbabccaabbbcbbcbacacabbcccaaabcccabbbabbaaaaaacbbabbcbbbababbcccabcbcb
+ccbccabccaabcaacbbbccccabccaccabbcbaccbc
+bcaccaaacbbabaaacabcacacbbccabbccbcccccacc
+bcabcaabacc
+bcbaabbcacccbaccaabacbccb
+baaaccbccaccaaaaacbbabcabbbaccbcbabbcacaacbbbacaaccababcacbbaabbbbcbbacccaccccccacbbcba
+caacbabbcccacaacbaaacabcaab
+abbabbabbaaaccbbbaacababaaaacbbbcabacaaacabccaa
+bacbbbbbbaabcacccacbaacbcaacaccbabaccba
+cacaabbbcaacaccabccaccaabccccaaacabbccbbcabacccabacacbbabbaaacaccccbabaacabcabaccbcbccabbcbabbabaa
+aabbbbaccccbbaaabccbbacccbcbaaaccbbbaccabcccbba
+bbbbcaccabbacaacaccababaaaabaccbacbaaaaccaccbaabcaaaacbbabbbcbbccaaabcaccabcbcbbacaaaaaccbcacacabbaabaaa
+aaacbbacaaabbbbaabccbc
+abccaabacbabccbabcaacabcaaabccbaaacbcc
+acbbcbbccaaaacaaaabbbcaacabaacbccbabc
+bbacabbcbbcbcccaacacabbcbcbbacbbaabbbccaabbbabccaccabcbabcaaccccbbaacaababaacacaacbccbcbacaabcac
+bbaaaabbabbacbabaacaabcbccbabaccaabcababaacaccbbbaac
+abcbccbcacabcaccbaabaccababbbcb
+bbaccacacbcbccbcbccbbabcbbcbbb
+ababbccaccacbbbabbbcccaa
+abccbaaaabaccbbbcbccbcca
+cccacaabaabcbcbccaaabcacbacaababbbbcaacbccaab
+bbbbbaaaaccabbccbbbacaccbbabbbbaabaccacabbccaabbccabbcccaccabccbbaabacccaaaabcacbbcbabcacaabcaaacacbc
+bcaaaaaabcaabbabbabcabbcbccbbbccaacabbcabbccbcbaabacaabcaccbcbacaccbbaccccabbbacbcbaababbcacbbccabacbacaabcb
+acababcccaabcabcacbacaaccbab
+acaabcbaaabcbcbcacacaabbababcbbbbbcabccbabbbabaabcbcbccbbcaabcabbbbbcbbcabbcacab
+cbaacccaabcbaccccbbcacaacaacbbccabbcbaa
+abaccbcccbbbbabcbaaccccbabaaabcbbcbbacacbcb
+acbccccbbbaacbbabaabbabacabbaaabbabbbcaccaaaccacaaabba
+cbacbbabaacabbccccbbcaababbbbbcccbaababbaabccccbbcbaccabbcccababbbcaaacbcbc
+babbbaabccaacaaabcbbcbcccccacacbbcbacbcbca
+bcbaccbbbbabccbbaaccbbaaababbabbaabbaacbccbbbcccbaccbcabcabcabababbbcbbccbcb
+cccccbaabbaacbcbcbbaccacccbcaacabaccaaabbcbbbbacbcaaacccbcccba
+cbaaaaaccbbcaabacaaaaccacccbbcabbabbcbbbccc
+acacbbacababbbcccbaabaabbcabbacbabaacaaccaaccacabacacabaaabcababaccbccbcababaccbbcaabacbaca
+acbbbcabcabbaabbaccaacacaacacacacacbcaacbaaccbbbaaacbbabbb
+ccbabcbbbccccaccbbaaaaabbcbaacbcbcbaaaccbbbcccabbcaacbbcc
+cbcccbcbabaaacbabbabaaccacaacabacbcbabaabbcbcacabcabbccbabbbcacc
+cccaabcabbaacaabacbbcccabbabcaccbcccbcabbbca
+bbbbacabcaaabaacbaacbbbbcacabccacacaabcabbcabcbbcabcaabccaaaa
+cababbacccaabaaacaabcbaacccacbcabcabaccabcacbacacbbcb
+baaacbacaacbbbacabccaaabacbaaaaccbaaccccaabcccbbabbbac
+babcaabccabbcbc
+cbcaabbbbbcbbcabbbcbcacbabbabacacaaaacb
+caaaaabbbbabcbbccbabaacabbcaccbaccacbaacbbbbcbcabaacbaabbacbacaaaacabbccaacacccbcabccccbbbcacccccc
+cacbbacbaaccacbccbabbccbcbbbacbb
+acabcbbbcbbabbbbbcbaccbabcababababccbbbbacbabbbccbaccaccaacaabbbaacacccabbccaaccababcaaaacbbbab
+abaabaaaccbaabbcbacbaaabbbc
+bcaccacbccaaacbabacbbabcaabacbaaacacbbbbbacbbaaacbbabbcbabcab
+ccbaaaccbbaaacabbbbcccabbacabbbabbbcbcaccbcaabcaacaccccbcbcabbabbbcbccacaaccbabaaaacbabcbaaabcaaaccb
+aacccabbacbaabc
+ccaabaccbcaccbcbbbbccac
+cabaaabacaaabacbcccccbbcccbabbaacccbaccaccabcbbccbbcababcbbbcbcacbbbcccacbccabccaabcbccacabcbcbaa
+cccaccbcbbcacbcccaabacaababbbaccaccccbabba
+caabccbcbaccabcbbaccabbaabbbaabcaacccaccaccacbbccbaaca
+cbcbbbbaabccc
+baaabaabaacbbaabcababcacaabbbccaaccaaacaabaaaccccbca
+babbbcccabaaaababaabcccccabaccbabaaabaccbbcccbbbcacbcbcababbbacbab
+cccaccbcbbccacccbbcccacaaabbacbabccba
+abcbaabcbbcbbacabbcbacabbabbcacacbacbaacabbcabbbbcaaacbbccbaabbccabccbbbcbcbaabbbccbaabb
+acbbcbaabbacacacbbbaaccbacacacbccbcbcccccaaabacacbabababbabccccaabcaabccbbbbbaccbcaaaacccccbacccabcbb
+cbbbbbbbbcbcbcabaaabcabacccbacccbcbbbacbaaacabbcabbacaacaabcaaaaabcbbaabacacaaccbacbbacaaacacccbacaaaaccbc
+bbcacbcbaccbabcbaabbb
+bbbccabaabacbaccbcbcaaacbbbaccbaabaccaabbbacbacaacaaccccbcbc
+baaccbbbcbbcccababbcbaababbbbabcbbbbbacbaaacabaacccacbaacacbabb
+bcaaaacbbacacaabbbccbcacbcacbbabaaababacbaaccbcaaabbccbaaccabbaccca
+bcbaccabaabaabaabbbccbaccbcbcabaacbbcabbcaacaccbcaccaccaccbaabbacccbbaacabbcbacacccabcbc
+bbcabaabcccbcbbacbbabbbbbcacacaacabb
+cbacbabaaaaacababbcbcaacaccaccbaaccabaaabcbcabaaacccbaacaacaabcbaabaaabcccbbbabaacbacacacbccbcb
+cccbbabcaacbccaaabcabbaccaababbcbbccbccaaaacaaa
+cabbbabcbcabbaccaaacccacbccaabcaccbbcbbbacaacbabaaabcccaabcabbbbcabccacbcbbacba
+cabcbccabbbbcabaabaabbaa
+baccbabccbbacaabcbacbcaacabaabccacbca
+cbaabcacbabcbbccbabacccbbcabcaccabcabbbabcbacbbab
+bbaabaccccabccaaabbaabbabccccbbccabaccccbcbbccccaccbbcbacbccacbaaaabbbcbacbccbbaabbcabbccccbaabbaabba
+cabbabcbbcbcaccacbcccbbbbabcbbcbbaccacaaabcccbbabcccccccbbbaabaccaaccbccbbacbcbcbcaccc
+bcacbccccbabbaabcabbbbacbacaccbcaabcaabababaabcaaccbcabbaaababcababababcaaaaccabbaabccaab
+cccbccbbcbcacbcaacabccccabccbcabccccabcbbcbbccbcacccbbacaacabcbc
+cacbcbaabacaccbacbaccbbbcacabbbaabbaabacacbbacacabbbacbabbabcaabaacacca
+aabbacbcbcbcbcbacccccbccabbabbacababbacbccaaccbabbcbaccccab
+bcbbabaababcccc
+bcccbbcaaacbbbbbcaababaacacbbbbaccbcacbbacccbcaccbabaaacababccbaaccbbbaccaabbcbabaacacbccacacbabbc
+ccacabcbcabbcbabbaccbcaacbaacccccbbababcaacaabcaacacbbaaaacbaabcccbbcbcaabaababacccbccacca
+cccccbaccccacccabccacaacacaaaabcabcbbaaacbbbbcbacacabcab
+bccabcabbbaaabbcabbbbcacabcbbcbbbacaccbaacaacccccabbbbabcbcabacccccabcbbcaaaccbabbcbaaccccbabbaabacbacbbc
+cacbbacabbaacaabbccaaaaccbabcbbccaabccabacaacbaabcbaaccacabacbbccccbbaccaacabbccaaccccaabc
+bbaaccbbcbbabababbbacaaaccababbbabccaaababcababbcaabacbcabcbaacbbaabaacbcbccbccabbbcbbbaaabab
+acbaacbcbcccbabcabbaaccaacbcaaccaacaaccbbabbaacccabababaaaaaaccbcaacaccbbcac
+accbabccaccbbcaababcbbbcbaaaacaacbacabcccabbcaccacaabbacbccaabbbbcabababcbcabbbaabab
+acacacabcaabbaacacccaaabaacacaabbabbcacabbbbcacbaabbcccbbacabcbcbcbbabababcabacbb
+cabbbabaababcbaaacabcabbcbabcabbaabaaaaabbcbbcbaccc
+acbccbabbcbaabcbbbcbabbcaabccbcbacaabbbbbbaabbbbcbbacbbbbbcbcaaaccaaaabbaacbbb
+cbbcacbbccbacccbcbaaacccacccbcaabcaccabcacaabacacbacabaabbccacabaabbccab
+cacabbbaccaaaacaaabacbcbcabaaabcbbaaabbbabbcabbacacccabcbccabcaaacbabbcaaacccbbbabcbacbcaa
+ccababbabaabbbabcb
+aabbbaacacccabbbaccbbcbaacccaaabbbbaabbcacccacaaccaacaabcaacbacaabcbaabbcbc
+bbbbacbcababcbcabbbbccbbaca
+cacbbcbbbcbbaaccaabcbbabacacabbbccccaaacbccacbcaaacaccccccaaacbbabcc
+bcacbbccaccbcbbcbaccbbbb
+bccbcbbaacabaaccabbccbacc
+abcaababccbccbacabca
+cbabacbcbaaccabcabacaccabbccbbbcaaabccbbbcccbcbacaaccbaaabccbac
+accbbaabcbbbbcaaacaabbabcbcbabbcbcabacbbabbbcaccacbc
+acbbbcaaaabccbbcbccbbbccabcbbaabbbbbca
+abacbaabacbabcbbaabbcaccbcccabbbaaccaacacaabbacbcaabcbaacaabbbcbcbbbbbbacbabbcccbbacba
+baabbacabababbccbcca
+caaacbabbabccbcccaaacbbacbabacbacbbacbaacbbcbcbaccacbbcbcacbcbbcabab
+abbcbccaaabccabcaaabbbcbcbabcacbaabbaacbcbbaabbabaaaabcaccbacccaccbbaabaabacacacaacccbbaabbbba
+bbbabbbcabbcaaaaabababacaabb
+bcbcaacabacccccbaccccbaccccbbabccbbabbacacabbccabbbcabacaacaaacabbcaacbbbbaccccaacbccbabbaabbab
+bbccbcabcabcacbacabaaaaccababab
+babacbbaaaabbacababaaacacaacbabcbcbaaaacbcababcbaabbaa
+ccbcabbaabcacacabbbbcbbcccbbbbbcacbabccabcbcaacccacc
+abccccbabcaacbaccbacbcabcaacccaabcbccaacabaabbbccccccbccabbbbaaab
+cbcaaacbacbcccaaabbcbccbabcaaacabcbabbccaccacacacabbbbcccacaaabbabbabcabaaababcc
+cacacabbabcbbcbbccccccbbcccabacccbcbbbcaabbbccaccccaaccaabcabaccbbbcacaccaaccbabbbaabcbcbacccabbcccbabcccc
+bbbbaaaaaaacbaaaabbbbcbbbcacbcccbbccabbaccacacbccbbbabcbccacbc
+caccbbcbaabbcaabcbbcabaccaaccccaabcacaccbbccccbbcacbbccbca
+aabbbbaaccaababbaccaaccbaaaaccaabbcacaccbbcc
+abcccbbaacbaaacbcccccccbacbcaaabcabcbcabbbbcc
+cbabacbbbaccccbacacbcabbaaabccbbcaab
+aaabcbbacabaabcbbbcbcccbabcaaabaacabaaabcbccccacbbacccbbbc
+cccbaaaaaabbccbbabababcbbabbcbaaabcc
+baabcbbacbaabbbbbababbaabccbbcbaacccbaaacaaaccbaabaccacaabbbcaaccabcccbbcbbabcababacbcaabaaacbcac
+54 5
+bbaababbabbbbbbbaaaaabbaabbbbbbabababbbbaabaaaabaaaaabbaaaabaabaabbbbaabaabba
+abbabbaaabaaba
+bbaaaabbbababaabbbaaabbabbbbaaaababbbbabbabaaababbbaaabbbbabaabbaaaaabbbaa
+abaaabbaab
+baaabbbbbaaaabbaababbbbabaabbaabbbabbaabbbabaaabbbbbabbbaaaaabbbbbaaabbabaaaaababb
+baabbbaabbabaabbabaaabaababababbbaaabaabbbaa
+baaaaabbbbbababbaba
+aababababbbababbabbbbabbbbbb
+aaaaabbaaabbabbbbbbabbaababaabbababbbbbbbbabaaaaabaaaaabbaaabbbbabbbbaaabbabbaabababbabbaabaab
+bbabaaaaaabaaabbabababaaaababbabababaababaaaabbbaababbbabbabaabbaabaabbbaababaabbbbbbbbabababbbbbbabaabaaaa
+aabbbaabbaabbaababaaabaaaabaaaaaabbbbabbaabbabbaabbbabbbaabb
+aaaabaababaaaaabaaab
+abaabbabaaabaabbaabaabbabbaaaabbabbaabbabaabbaaaaaaabbaaabaaa
+bbaabbbbaabbbbaabbbababaabbaabbb
+aaabbbbabababbbaaaabaabaabaaababaabaaaaabbabaabaabaa
+bbbabbaaaaaaaaaaaaababbaaaabbbabbbbbaba
+abaaaabbaababbabaabbbbaaabbababbabaaabbbababbbaaabbbaabaaabbaaabbabbbbbbaaaaabbaa
+bbbaaabbabbbbaaabaaabaaaabbbabaaabaaaa
+abbabbaaaabbbababbbabaaaaaaaaaaabaabbbabaabbabbbbabaaaabab
+bbbbbaababababbbbabbbbbbbababbababababaabababaaaaaaabbbaaabbabbb
+abbabababbbbbabbbbabbbabbaaaa
+baabaababbaabbbaaabbbbabaabbbbbaabbbbabbbbbabababbbaababbbbabaaaaaaaabbaabbababbaaaaaaaabababa
+abaaaaaabbbabbbaabbbaabbbabbbbabbaaabbbabaaababaaaba
+baabaaabbabbabaaaabaaabbbbabaabbaabbabbbbabbbbaabbabaaababbbaaabaaaaabbababbbbbabbabbaaa
+aababababbbaaaababbbabbaababbbabaaaaabaabababbabaabababbabbbb
+abbabaabbabbabbabaaababababaaabbabaabbbbabbabbabaaaaaaaabbababbaaaabbaaabaaabaabbbaabbababababbaaaba
+bbbbbbbbbbabbbbabaaaabaaaabbbbbabbbaaabbaaababaabbaababaabbabbbbaaabaababaababbabbbbabbbbabaaabbbabbaab
+abbaaabaabbabbbbbbabbaaabbabaabaabaaab
+bbabbaaaaabbbbaabbabaabbabbaaaaabbbbbbbaabaaabaaabbaaaaabaab
+bbabababbbaaabababbbababbbbabbabbbaabbbabbaaababaabaabbbbbaaabbbbbbabbababaaababbaaaaabbaaaabbbbaaabaa
+baabbbbaaabbabababababbababbaaaabaababaaaaaabbbbabbbaaabbaabbaabbaaaaaaabbaaaabbababaabababa
+ababbaabbbabbbabbbbaabbabbbbbbabaaabaaaaabbbabbbbbaaaaaaaaaabbbabbbbabbaaaaaaaaaabbbbaaaaaabaaabb
+abbabbbbaaabaabbbaaabbabbabbbababababbba
+bababbbaabaabbaabababaaba
+babaaaaaaababbbabababbbaababaabbaaabbbababbaabbbbaaabbaabba
+bbbaaababaabaaaaaaabaaabb
+bbbbaabaababbbbbbabab
+abaabbaabbbbabbbbaabaabbbaaababaab
+bbbabaaaabaaabbbaaababaabbbbabbabbbbaaaabababbababbabbbbabaabbbaaabbbbba
+babababababbaabbbabaaabaabbbabbbabbbabaaabbabbabaaabaabbbababbbabaabbaaabaaaabaaabaabbbbbabbbaaaaaababababaaa
+aabbbababbbaababbaabab
+babababbabbbbababaaaababbaababbbababa
+aabaababaaaabaaaaabaabbbaaabbaabbbaaaaabaabbbbbaaabbababbaaababbaabaaabbb
+babbababbaaabbaabbababbbbaabaaaabbaabbaabaabaababaababaaaababbbb
+aabbbbbaabbbbbaaa
+bbbaaaaabbbbbbbbbabaaaabbaaabbab
+aabbbabbbabbbaabababbaabbaaabbabaabbaaabbaab
+bbabaaabaabaabbbbbbabababbbabbbbababbaabbbaabaabbbbbbbabbbaaabaababaaaaaa
+bbbabbabbbaabbabbababbabbabbbbbbbaababbaaabbbbababbbbaabaabababbabbaababababbaabaabbaaababbbbababbabb
+abaaabbbaabaabbababaaaaaaabaabbbbaa
+ababbbaabaaaaaaababababbbbabbabbaaababbbbaaaabbabbbabbaabababbaaaabaabbbbbbbabababaabbaaababaa
+bbaaaaabbbbabbaaa
+abbbbbbaabbbaaabbbbaabaabababababbbbaaabaabbbbaababbababab
+baaaabaaabbbbbbaaaababaaaababaab
+20 2
+caaabcacbababacbabcbbcbcbbaabcbcaabccabacbaaaabacbccabcaabc
+cbbcbccabbbcaabccbcaaabbcbabbaaabbbabcbcabbaabcaaaabccbaacbcaaabccbabaaccaacbcabbbcbcaaabbcc
+caabaccccccabbaaccacaccbbaaabaaccbacbbb
+caacacaabccbacaababccaacbbacbaaacaccccabbccaacaaccaabbaabbcacccbbcbbbacccacbaa
+bcbcbacbccababbccabbaacbcaabccccabcbcbcaabcbcaaaacababcaccbbbbaabbaaaabbbbcaaabbbabaaaacabaaa
+cabbbbaacacbccabcbcbabbbbabaaaacbbcaacabaccbacbcacaabaca
+acacccabbabcbcbbbccbbaacaabcaacabacbbccaabaacaacccbcaabcbacccbaababcabbcabacacbbccccbcccb
+ccaabaaccabbabbbbacccccaccabcbb
+bbcabccbcbbbbbbbccaacbcbccbcaaabcbbabaaabcaaacacacaacccbccccbcabbcccab
+bbcaacbaacacccaabcaaacbabacbaacbcbacbcbabcccbcbabaaabbccbaaaabbabcaaaabaacbcacacbabcabbcbabcaacbccaaccabb
+ccbbbacaaccababaccbcbabbaccbbccbbacbcacaccccaacabccbbbcbacbbacabbbcb
+caaaaccbacababaaabbbaaacbabbbcbacbbabaccbbcaccabaaabababcaabbc
+ccbbcbcccbccabcaaaccbaaacbaccaaabababacabaaacaaccbcccbccacacbabcbbbaabbbbaabcacbacbababcabcccabacccab
+acbbbabcbcbbacbaaaccbabccccbaababaabcbbacccabbbacbbbaccbcaaabcbbaaacbababaabacba
+aabbacccbab
+bbaccbabaacbbababaa
+ccbcccbacccbcbaacb
+cbabacbaacbbaaccbacabacbcccacaabaacccabbabbcbabacc
+cabbcccbcbbcbbbcaacbcabaabcaaabcbcbbcababaacbcbcacacbcaaacbbcbcbabcbbaaabbacacbcbaababcccabcc
+abababcbbcabbabababcccababbaccaaabbaabcacabacabcbaacccabbacccc
+161 135
+cbabcaabaccbbcaacacacccaabbaccaacacbccaccbaabcbbbcabbbbacacbbabcccbaabcccbacccbcbbcabbbcabbcabbbbbaaacbbcb
+acccbcabcababbccaaabcbaaacbcbaaccbccbbcbabcbbacbcaabbcaabc
+ababcabaaccabcbbacabccabaabcacbbaacccbbccbaacababaaacccccaaabbca
+abccabacbbccbcbbbcbcbcacbcaccccbb
+bbccaababacbcbabaabcbcbbcbaabccabbbcbbccbaccbccabcbaabbcaaacababbcabcaccbbcabaabbabaacabbcabababbabbbbcab
+ccbaabcaaaacabcccacccbcaacbccbbabacacbcabcbacbcbabaabaaaabaabaacbbabacabacbaaaacccbbcbb
+bbacbccbccbabbccbcbaacbbcacccbabaccb
+cacabacccbcabcbaabccabcbaabcbcbcabcaaaaacccbbcbccabbccbacaabbcbbaababbcaabca
+cbcbabcbcaababbbabacabacabcccabbbcbcbcaaccbabcbac
+ababacbacacabbbcaabcbbbbbcbccbaccbaacaaabcbaabaaacabcbbcccbaaabcccbbbacbaa
+babcbaaaaaabbbbabcbbbcbaaccabbabcbacbcaccbbbbacbacbbabaccbaacababbcaabaccaabbcaacccbcca
+aacabcbbbaaacbbcbacbbbacbcaccaabcbaacaaaaababcccbabaaccbcccacacbbcabcbbbbabbbbbcbbbbbab
+bcaacaccbcbacaaabaaccaabccbbacbcbbaaaabcbbabba
+bcbbcbbbcbcbbbabbbccacbbbabbbbcbacccbacbcccabacaaaabaccbacbaca
+ccbabbabcbaacbcbaccaabba
+cabccbacacacaabbcbaccacbcaaaaaccabcbccccccbabccccacacbabbcaac
+ccaccbccbbabaabcccacbacaaaababbccbcabbbcbacbcbab
+caabbbbcbcbbcbaaaacbabcccaaaabcbaababbaac
+bcabbccccabababbbcbaabbccba
+bacbbaaaacc
+acccaaabbbabaccccbabbaaabcaaaaccacbabaaacacaaccbcaaabbccabaccbbababacbbacaacbaaaabacaccaababccba
+bbcacabaaababccabaccaccacbcbaa
+bbbbcbcccbccaabaabbcccbbcaacaccabbaacaaaccccabaacbaccabbccabcbcabcbab
+abacacbbbbcccaaaacbbacbbcaccbcbacacacbaaacaaacbcccbbcaccaacabbab
+aabaacacbba
+cababcbcbbaabacbbbacacaaccaabaaacabcabbbabbbbcaaabcacaca
+bcbcaaaacbbcbbbcacccabacbaaaabccbaccbbcbb
+cbbbabaacccabaaccbcaccbbabbabacbcbacababaacbcbccaabcbaccabcbabccccbccacccccaacbcbabcc
+abaaacbbbaacaacbcbbabccabcbccbccaaacaacacabbbbbaccacaaababcacccabaaabcbcaabbacaabccacabccabbbbcaccaccb
+bbcaacaaacbcccacacbabccabcbc
+cacbbcabacbbbabaaaacaacbabcbabbcccbbbcacacbbcacbbcacaca
+bacbcaccaabccabbabcacccbacccbaaccbabccaacbaaaabcacacbbbaaaccbbcaccaacbbbcbaaaacbbbaabcacbcbabcbcbaacac
+bcbbcbcaacbcaacabcaacbccbabcbaacbacbcacbacaaabbcacaaaaccbaacaacbcaacbcccbcbcaccaccabcbccbcb
+babbbacbbbbcbcbcacaccccbccbbbabccacbcbabbcbabbbcbbbccbbabababbba
+accacbaccaaccaacccccabbcabbccacbacccbacbabcbabbabbbaababbcaacacbccbcacccccbbabcbccbacbbaccabcacbaab
+bbbcbbaccaaabbccbcababbacccbbbbcccbaaacbbccccacbacbcccaabcacacccbccaaacabcbaabcaabbbbcbcbcaa
+bbacabababbcccacbcbca
+baabcabcacbacbbcabbaccaacbcabcccbbbccabcbabcaacaaaaabbaccccaacabbbaacaccacbacbbc
+accaabbbbac
+baacaacbcbcacbbcbccbcacaccaccacbabbcbaaabcacccacacbabbcacabccacccabbcabcbbcccbbcbbcabaaacaccabacb
+bccbbcbbbaaccbabcabcabbbabacccacbabccaccbcaccc
+accbcaacccbabbacbbaabacbabbbccaacbbcacabcaaabccacccbccacccaacccbc
+acbaacabccccaccabcccaccabbcbacacacbcaccbbacabbababcbaccbacbbcaabcbabbc
+cbbcbcabccbbaca
+caaacbccbbbccc
+cbbaababbcbbacbbcbbcccabacbacaabcbacbcccbcbcabacaabacbcccbaccbbccbbaccbcabcaab
+bbbbbccbbbabbbbacbbcacbaccbccbaaccbcacacbcacccbbbacbaaccaacbaaacbb
+abbabbaaabbbcbabaccaaac
+cbbccccaccabbccbbbbabca
+bacbacbcbbbaaababbaabbcabbaaacbbcccbcbbbcbbaaaba
+baabbcacbaabccb
+ccbbbcbaccccacbacbbababbbacabbaaaaaaabbbabaccbbcabcbccccbccbbccbacc
+cbcabbcbbabbaccccbbaabccaaccaccacccbbaacaacaccacbbacabaccbccb
+cbcbabccbbaabcacbcaaaacbbcccacaaaabaccacbbbbcacacaaaacabcaabaacbbcabbbbcacabb
+bcbaccaabaccabbabcbaabacccabaaaccbccbbabaacacabacccbabbccaccbaaacccaccaccbababacbbbcbbccaabaababcabcca
+cacccbbaccababbcbcbacaccaabcbb
+baaacbababbcbbbbacbbaacbabbccccccacabccbbacbabcccacabaaccabaabcacbaabbcccabcacccbbbcbaccbbcbbbacabbbba
+acbabcbbbaaacbcacccbbccaaababccaccaccbcaccbbbcacccacbacbbaac
+acaaacaacbbcbcacbcccacabbcbbaaccabac
+cccbbbbccbbacabbcbcccbaabacaabacbaacaacabbbbaabacacccaccbcbcbccaccbcbcbbaaabaacbbbbabcbababbccacacbbabcbbcca
+cbbbcccbccacbcbcaaccbacbbcbcccbbabacbcaaacaaccbcabbcccbbacaacccbbab
+cccbccbacbbaabaaccaaacaccabcaaacaacaabccabbaccaccaccbaaaaacacaccacaabaababacbbcabccbabcaaccbccaba
+bcababaacacbbcbacabcbbbabcacbaaaabbabacbbacabaaabc
+ababbcabbcccbabbbbcaaabacbcaacabacbbabba
+bbcbcaaaccaccbbaaabccabcabbaaccbbaaccaabaacbcccbccb
+abbaacabbcaabaacbbaacbbbbbbbabaca
+ccabcccccbcabaccabaabccbacaaaabacccbcabcaaaabcacbc
+bcabacaaaacbabbccaabbabbacabbcabccbbabcaaacbbbcbcaabaccaaccbabcacaabbcacabc
+baaaabbccacabbbbbbbbccbacbaacbbaaaabcaaaccabaccabaababaaaabcababbaacbcaabcccaccbabcbbbcabaccbbcacaabbb
+bbbabaaabbbbabbbaccbcccacbcbccaabbcacccccaaaaccaacbabbbcbacababccbccacabb
+cccbaacbcbbcbacbcbcccacacbcccbcacabbcbccaabbcacabaaccaccbca
+bccbccccbcccaacaccaccbaaaacbbcccbaaabccaacbbbcaaacbccabaccabbbbabcabbcbbcaccccbbcabcabbcacbbabaccaa
+bbaacbacacabcacc
+abcaaaabbcbccc
+bbbcbbaacbbccbbccbaabbccbbabccababbabccbcabacc
+cbbabcbbcccabacccacbacccbaaccccabcbccccbbbbbbccc
+cabcbcaabbbbbcccaabccacaabbbbaaacbbabbbbaacaacabcbbcbaaaccbacaabccacacaabaacbaacccbbaca
+acaabcbbaabcbaacaabacbbacabcbaaaaababcabccaacaacacccaaaacbacbcbaccbaaaccccbbaacaabcbaaabaacccbaabcabbbccbbcb
+bcbbaccaaccbcb
+bcbaabaaaabcbabcbcbbacacacaaacabcacbababbbbcabbccccbabbccacbcbacacaaaccaaaababaabbcaccabab
+bcbaaaaccacacabccacbaabcccbbabacacbbaaabbcaabbaaabbbbcbabacccccccbaccbaccbbbbbaabbcbbaaabcc
+aabaaacbcbacabcbccaaaaacbbaabbaacccbccbaaabcabcabcbbbccabaccb
+acaaccbaabcbcbacacabaaacaacacccbcabaaaaaaaaacbbaacaabaacbcacbabaabababbcc
+ccabbbbacacc
+ccaaaaacbaccbbcacbcacccbbbacaacbcccccbcbbbbaabbbacbbaccacaaabbbabaaaabaaa
+bbacbbaaaabcaacbccbcabcaaacbabbcbabbbbbbbabbabbacaabcccbacbaccbabbcabbcbcabcaaaabccacab
+bbbbccbcccbbabbcbb
+ccacbbaabacbbaacbccaccacbcacacaacabaacbcbccbabbaccbababbbabccabbcbbcbbbcccaababbcc
+baaaababcbacbbacbaccabccbccbacabc
+cbccbacaccbcbbbabaacacccaacbacbcbbbcacbbacbbcbcabaccbaacaccccbcbbbbccacaacbbccbabaab
+ccccbbcababcaabbbabaccaaacaabccaabcbbabbabbbbacba
+ccabbcacaaabaaaaabaacbababccacaab
+abbcbcbbaacbcbcc
+acccbacabbacabababacccccabcacbcabccbcbabcbbabcbcccbababababccabacbcaaaabbacccba
+acbbaacbabcbaaacaccbcbacbacbcbcacbbbcaabacacccbcaccac
+cbcbbccbbbbaccabbbacbbcacbcababbacabacbaaabaaccbababcbbacbaaaacbcccaabaacccbcbabaccbbbaabcacabbc
+bccbaacbcbccbbcabcccababaccbabbbbbabbabbabcbaaababbbbcccbac
+baabccabbbbbcabcaaaccccabbcacbbababbbabcbaacaaabbcbcabbaabababababccbbbbbacacbbacbca
+bbcbcbbabaccabcbbaabbccccacaaabaacbbbcccac
+cbacacaacabbaacbacaabbabccbacaabaccaabaab
+acacbbacbbcaacaccaabaaacacbbbcbcbaccbcacacbcbbaacccccbcbbbcbcbaabbcaabcacacabccbbabbccbccabcaabbcbbaacbcbaaab
+babcacbcaaaaaabcbabbcaaccbaacabbcbcabacac
+aaccbaacaaabbcccacabccbbbba
+bbabbbccaaacbccacabbacbbacacac
+ccccaaacaacbbbbbabaabbbbabccbcbbbcacbabbcccabbaaabbaaaccbbccbccbaccabaaccb
+aaaacbcbbcaaaaacbacbcbcaabbc
+accbcbcacbbcccbbacbcaccacbacacbcabbacbb
+abaaacabcbbcaaabbcbaccaa
+cccbbaabcaacbccaccbabbbbaccccccbbccbbbbbccaaaaaabababcaacaaabababbcacbbcaaabbbbaabaaaacbbbbbabacccbcacbbbcbb
+caacbcabaabccbcaa
+ccabbccacacabccaaaacacbccbaaababbcbababccacbacbaabababbabaacaabbbcaacbbbbbcaabbcbccbbaccaaacaaacbcacbbacbbbc
+abcabcbcccbbcabccbaccbbccbabbccbabbbacbcabacaacba
+accbbccbcb
+ababccacaccabbbbccacccbccabbbbbbabcbbacbacbcbacbaccb
+caababcbbbbaccabcbccacacccacbaacabaabacbb
+aaccbaabcbbacaccaabcaabcaaaaaccabbaaacbbababcccaaacbaacbbaaccaaabcaabaabbabbacbccccabbaaacacccc
+abbbabbaaabccaccbbababccbbacbccc
+aabbbccbcbcaaaaacbbccabbbbcbbbbabbbcaaccabaabbaacccbcbcac
+bcabacaabcccbccccabcbb
+caacaccabcbcbbabcacabbbacacabcaabbccccaaaaccbaaaacaccabcabaabccbcbacabcbbbcabaabaa
+abcabcbcbcaabbaccbcbbbabbbaacccabbbaaccbab
+baccbcabbcabcaacbccbbcbcccbcbbbccbacbcbacccacaccacacaacaccbbbbbaaabcbcbacccaababacbb
+cbcbbbaaabaabcabacaabacbbccabbaccaacacbbcbbaccabcacacbacabbccbbacbaccbcac
+bacaaabacbaaacabcaaaccbacccbaaccbacbbbbaaccbccbbccabcbaacbbbccbaacbbabbbabaaababbbcbcbaabcccc
+cacaaaacabcbabaaaaabcabaabababbabcacbcbccccbcabcccb
+acccacccaaaabaaaacbaaacaacacbcccbcbbcaaaccbbaabcbcbbbababaacaacbaaccabbccccbccbaaaabbaacca
+cabaaabcbcccacaabbbbaaccbcbcacabcaacacccaabacabaabcccacaabcaaacbacaacaabaabbabbccbbccaccac
+cbabcbbbccacabbbabccbbaccbacacaa
+abccbccbbbabbacabaacaacbaabcaaabbc
+cbaccbaacccbbbccaaaccabcccccbbaccbaccacccacccbacbacaabcabaaaaabbcacbcacacaacbcabcaabccaaabcabacbbba
+ccccabcbabbbbbcbcbbcbcccaabb
+caccabaaccaaabbbbcacacabccabaacbaabcababbacbbcbbaaaa
+bbacbaabbabacbbbcbbcaccbababbcccbcbcbccccccbaabbcccbabbcabaccabbbacbaaacbc
+bbabccabaaaaabccccccbbcbcbbbabbcbaaabcbaaabbccacaabacbcaababcacbaabbabcbbabccccaabcc
+ababaccaaaabcbcbccaaacaabaacbbaaacbaccaaacaacaabbacbabcaacacbbcabbccbccbbaabbbbbbcaca
+babcbbaccacaaccbaacbacabbbbbcccbaaacabcbaccbbbacbbabaaacac
+aabaaacaacbcbbcbbababcbbbcabcacbabaaabaccccbcaabbcbb
+caacbababaaccacabaaaaaaabccacabaacaacacaaabbcbaaacbcaabccacccbbbcacbaacaacbcbcccccaaaaccbabcbbccccacbabaacb
+ccbaaaaabbbaaaaacbbcaaabcbcaacabaaacabbb
+accaaccccbbaaababbcccaabaaccaababbaacabacccacabbcaaccbccbcbaccacccacabacbcacacbaacccaacbacbcbcbabaccbbababc
+acabcaccbbbababbbabb
+aabbbbbbbccbaaccaaccabcacabbbabcabbcbcabcaababbabcbbaabaaabaacccaccbcacccccccacaabcccbaabcacbcaaabbcaab
+cbcccbcaacabcacaabcbabaabbbbaabbaacccabbaababcbacbbacbcacaaacba
+aaacbaaccccbcacbbcbcbacbacacccacbbbabaabcbaacbcacbcacbacbabbaa
+cabacbbcacaacbbcbaccbacbaacbcbabccc
+ccabbcacbcbc
+bcccbacbacaccbccccabccacaaabacaacaccbabacabcabacabbbbbacccaabccbacbbabcacacbacaabccbbcbaaaaaacacaabaabcb
+cacbacababbabccaccbaabbacaccbb
+aabbcbbcbccacbcbaabbababbbabbbabccbcbcacabcbaccca
+cbaaccbaacbaacbcbbcabcacbc
+ccbcbbababacbaabbbaccabbbb
+aaabcaaaccbbbccaabbabbcaacbababaabbcbbacacabccbabcbaabbbabcac
+aacacbbaaccaccbcacbbaabcbbaaccbaacbaccabcaaabccacbabbccbaaaccabaacccbcaccaabcababbacbbccccabccaaabcaa
+caaccbbbccaacabbcbaacbbbbcacacacbaaccaaacaccbacccacacbc
+aabcabccacbcbcaacccacbbbaaaababaaccbbaaaabcabbcccacacccbcbbcbacbabbacbcacaacbcaaabbacaabbbbaaaaaacc
+cccacacbcaababbcabbbcccbbbbb
+bbaaaabacababccabcbabaacbcbbaaaabcbbbaaabacabccababbcbcccbabcabbcacbcc
+aaaccccaabbccacaccbacbcacbbaaccbacbbbacbbabbba
+cabcbcaacaabbbcaacaabcacaccccaccaaabccbaabbcbacbcb
+ccabbcacbaccbcbbcbcacabacaaabbbbcbbbababbbcbba
+bbacaccbaabbaccabaaccaaaaccacbbcabbbccabacabaabbaacbcaaa
+278 163
+ababbbaabaaababaaabbbaabbbbaabbbbababababaaaaabbbaababababaabbaababbabbabaabaabbbaabaababaab
+bbbbbaaaabaabbbaaaaabbababbbababbabaaaaaaabbbbabbaaaabbbaaaabbaaaab
+bbbbabbbbbabbbbbabbbbaabaaabaabaaaaabbabbabaabaabab
+aabbaabaaabbaabaaabbabbbbabbaaaababaababbababbabaababaaabbbababbaababaaaabb
+aabbaaaaababbabababbabababbbbababbbbbbaaaaaaaabbaaaababbabba
+bbaaabbbbbbababbabbbaaabbabaababbbaaabbaaaabaababbbbababaaaaabaabaaabbababaaabbbbaababbabbabb
+baabbbbaaaaaaabbb
+babaabbaabaaaabababbabbbbababababbbabbbbbaaabbabbaaababa
+ababaaaaabbabbabbbbaaabbabaabaaabaaabbbbabaabababaabbaabaabaabbbaabaababaabbbb
+ababbaaaaaaaabbbabbabaabbaaababbabbababaaaaabbaabbaabaabaaaabbbbbaababbaabbabaaaba
+aaabbaabaabaaabaaababbbaabbbbaaabbaababbabaabaaaaaaabbbbbaababbbabbbaababbbbabbbbbaaaaabab
+bbbbababbbbbaaaaabbbabaabbaabaabbaabbbbbabaabababaaabbbaabaaab
+aababbbbabaaaaaaaaabbaabbaabaababbaabbbaababaabbbabaaabbaabaaabbababbaaaaabbbbaabab
+aaaabaabaababbaaaaababaaaaababaaaabbabbbabbaaababaaaaabba
+bbbaabababaabbbbaabaabababbbbaaabbbaababbaabaaabbabaaabbbbbabbabb
+aabbabbbabaababaabababbbabbaabbaababbbbababbabbbaaabbbbaababababaabbbbaabbbbbabababaaaabaaa
+aaabaabbbbbbabbabbbabbbbbaaaabbbaabbbbabababbbaaabbaaaabbabababbaabbabaaaaabbbaabaabaaaaaabaababbbbaabbab
+bbbbbbbbababaaabbaaaabababaaaabbaabaaabbaabaabaaabababaaabbaaaabbaaabbaabaaaabbbabbbbbaabbaabbaaabbbbaa
+ababaabbaaaaabababbbbbaaabbaabbaabbbbaaababbbbaaaaabbbababababaaaabaaabbbaaababbbbbbaaaaaba
+bbbbabbbbabbab
+baaabbaaaaaababaaaabababbbbbaaaaabbbba
+abaaaabbbabbbbaaabbbaaabbbababaaabb
+bbabbabaaaabbabbabaaaaaabaabbbababbabb
+abbbaaaababbbaabbaaabaaabbabbbbbbbbbaaaaabbaab
+aaabaaaaaaaabbbbbabaababaaaabaababa
+bbbbbbaaabababbbabaaaaabaab
+baabbabaaaaaaababbbabba
+ababbabaaabbbaaaaaabaabbbabaaabbaabbb
+baabababaabbbbabbababaaaabaaaaaababbabaaaabba
+abbbbabbbaababaaaabbaabb
+bbbababbababbaabbabbaaabababbababbabababbaabbaabaaabaababbaaabbabbbaaabaaaabaabbaa
+abbaaaabbaababbaabbaaaabbbabbaabaaaabbaaaabbaaaaaaaaabbbaaaaaaabbaaaa
+baaaaaabaaabbbbbababaa
+aabaaaabaababbaaababbbaaaaabaaaabaaabaa
+babbabaaabbbabbaabbbbabaabbaabbbabbababaaaabbababbbaababababbbbabbbaabbaaaabbabbabaa
+bbabbbbbabbbbbbbaaaaabbabbaaababaabbbabbababbbababbbbaaba
+abbbbabaaaabbaaabaabbaabaabbaabaaabaaababbaaaaaabaaaabbbaaaabbbabbabaabbbbbabbbaabbbbaaababaaaabb
+aaaaaaabbbaaaababbabbabbaababaaaaaababaaabb
+babaabaaaabbbababaababbbaaabbbabbbbbabbbbaaabbbbbabaabababbaabaabba
+aabaabbbbaaabaabbbabaaaaab
+ababaaaaabbbbbaabbaababbbaabbbaabbaaababbabababb
+bbabbabbbbabaabbabaaababbbbbabbaabbabaabaaaaaaabbaabbbbbaabbbbaabaababaaaabbbababbbaabbaab
+bbaaaabbbbbababbbbabbbaaaaabbbbbaaaaabaaabbbbaab
+aaaaaaaabaabababbabababbbbabbba
+abaabbbabbaaabaaaabbabbaaababaaabbabbbbbbbbaabbababaaabaabbbaabaababbbaaabbbaaabbababaaa
+bbbbbbbbaaaa
+abbbbabbbbaaaaaaabaabbaaba
+aabbaaaabbabbbbbba
+bbababaaabbaaaabbbabaaabbabaababaabbbaabbbbabbbaabbabaabaabbabbbbbaabbbbbabbbabbaaaababbbabaabbb
+ababaabbaabbaababbbabababbaabbbababbaaabba
+ababbbabaaabaabaaaabbbabbababbbbaaaabaabbabbbab
+aabbbbabbaaabbbbbabbababbabbaaababba
+bababbbaaabbabbbbbaabbaaaababbbbababbbbbabbbaabbbbbbbbbaaaabababbbabaaabaabaab
+aaaabaaaababbabaaaaaabaabaabbabaab
+aabbbbaabaaabaabbbbbaabbaaaabaaabaababbbbbbaba
+abbaaaabbbaaaaabbaaabaabaabaabaaabaababba
+bbbabaabbaabaabbbabaabaabbbaaabbabbbbbababbaaabbbaaaaabab
+aabbbbabbabaabaaabbaaaabbaabbaaaaaababbaabababaabbababbababaababbbaabbaaaabbbbbabaabbbba
+bbbbabbaabaaa
+babaabaabbbabababaaaaababbaabaabbabbabbbbabaababbaaaabbbbaabaababbbabbababbababbba
+ababbbbbbbaabaabbbabaabbabaaaabababbabaababaaabbbbabaaabbaaaaabbbaabaaababbabbaabbaabbabbaabaaababbaababbaaa
+bbaaabbbaabaabbabbabaabababababba
+aabaaababbb
+abbaabaaaababbbaaabaaaabaaabaabbabbbab
+babbbaabbaaaaaababbbbaaabaaabaababbabababaabaabaababbbaabaaaabbaabbbbbaabbaabababbabaabbababbbbaaaaaab
+babaaaabbabaaaabaaaababaabbabababaaba
+aabaabaaaabbbaabbababaabaaaaabbbabaabbbbbababbaabbbbbaa
+bbabaaabbbbbababbbaaaaaaaaaabababbbabababbababaabaaabaabbabababbabaabbababaabbaaababababbbababbaaaabbb
+abbaaaaabbaaaaabba
+bababbabbbbbaaaaabbaaabbbbabbbabbaabaabbbbbaaaabbbabbbbbabbbbaaabab
+ababaaaaaaaabbbabbbaabbbababaabaabaaabbbbaaaababbaabab
+baabaabbab
+aabbabababbbabbaabaaabbbabaaaababbbabaabbabaaabbbbbaaaabbaaababaababbabbbbabbbabaabb
+aaaaaaabaababaaabbbbaaabbaaabbabaaabbabbabaabaaaabbbbaaaabbbaabbbbbabbbbaa
+bbaaaababbbbbaabbbaabaaabbaaaabaababaababaaaaaabaabababbaaababbaabbabbbaabbbbaababbbaaabb
+bababaabbabbaaabaaabaabbbbbbabbbbabaabbaabaaaaaabbbbaaabbaabbbaabbababbbaabaabaababaaaabbbaabbaaaaaaabababa
+baaababbaaaabbbbabbabbaabbbbbaaababaabbaaababababbabbabaabababaaabbababbbabaaabbabbbaaaaabaabaa
+baababababaababbaaaba
+baaaabbbabababbaabbabbbabbaaaabbbbbbaabbaabaabaaaaabbbbaabbababaaabbbabbaabaaaabaaabaaabbbbb
+babababbabab
+babbbbaabababbbbabbabbbaaaaaaaaaaabbbabbbbbbabbbbbbabbaaabbbbbaabbbbaaaaabababababbb
+aabbbabbbaababaabbbbabbbbaabbabbaababbbbbbabbbabbbaaaaaaaabbbabbababababbbaabaaaabbbaba
+babbbbababababbaaaababaabababbabbbbabbaaaaabbbbabababbbbaabaa
+aaaaabbaaaaabbaabaaaaaaababbbaba
+aabbbaaabaabaaaab
+bbaabbababbaaaaaaaabbaabbaaaaaaaababaabbaabbabbbaaaaabaabbbaabbbbbbbbba
+aabaabbaaaaaaba
+ababbbaaabbbaababbaaaabbbabbaaababbbbbbbaababbbbbaabbbaabbaaabbbaaababbaaabbbbabbab
+ababbbbbbbaabaaaaababbbabbaaababbbbaaabbaaaabbbbabaababaabaaabaaabbaaaaaaaabbaaabbaababbaaaababab
+abaabbbaababaaaaaabbaabbbbbabaab
+aaabbababbaaabaabbbabaaaaaabbbbbbaabaaabaaaabbbaaab
+aabbaabaababbbaabaababbaabababbabaababaaaaabaabaaaaabb
+bbabababbbabbabababbbaaaaaa
+abbabbbaabbaabbbabbbaaabaaabaaabbbabbbaaaaaababbaababbabbbabaaaaaabaabbbaaaabbaababbbbbaabbbaabbab
+babaaabbaababaaabbbbbabbaabaabbabaaaabbbbbabaaaaaaababbabbabababbbbabbbbaabbbbaabababb
+bbbbbbbabaaaabbbaaabbaaaba
+aaaabbaabbaaababbbbaaabaaabbaaabaabbbbabababbaabbaabbabaabbbaaabbaaabbbbabbbba
+aaaabbbaaaabbbbababaaaaaaabbababaaabbbaaaaabaaaabbbbabbabbabaa
+bababbbabbbabaabbaaabaabbbbbabbbbabaaaaabbaaabbababaaabbabbbaaabbabbbbbbaabbbbabbaaaaaababaaaabbbbaababbaaa
+aaabbaaabbbbabbabbbababbabbabababbbbbbaaaabbbbbaabbbbbabbabaaaabababaaaaabbabaaababbaabbbaabbabb
+bbabaabbbabaaaaaabbbabbbbaabbaaaabbbaaabbbabaaababaaaaabbbbabbbbabbaabbabbbbabbbaaabaabbabaaaababbaaaabaaa
+baabbabababaaaababaabbbaabbabaabaaaaaaabbaabaaaaaaaaaababbaaaabbabba
+abaaabaababbababbbaababaabbabaabbaaaabbbbbbbabaababaaababbabaabaabbbaaabababaabbbaaaaaaaaaabaababa
+abaabaabbabababbbbabbabbbbabbbabaabababbabbababbaaaaaabbbbbbbbaabbbbbaabaabaababbbabbba
+babbbbaaabbbabbbabbaabababaabbabbbbbabaabbaaaabbaaabbabbbbaabaabaaaaaaabaabbbbabbabbbb
+ababbbabbaaaaaababbbbabbbabbaabbbbbaaabbbabbbaabbbabba
+ababbbabbaabbaaaabaabbaabbbbaabbbbbaaababaaaa
+abbbbaaaaaabbbabaabbbaaabb
+baaaababaabbabbabbbaabaaaabababbbab
+bbabaaabbbabaababaaaabba
+bbbabaabbbabbbbaabbbabababaabbbbbbbbabbaaaaaaabaabbaaabbaab
+aabababbaaaabaabaaabaabaababbaaaa
+aabaaababbbaaabbaaaaabbbbbbbaabaabbaaababbaababbaababbbabaabbaababaaaabaabaabbabababbbaa
+bbaaabbbabaabaaabaaaaababababbaabbabbaaabaaaaaaaabbbabaaba
+aaaabbabaaaabbbabaabaaaaabbbaabbbabbbbaabaaaaaabbaaabbaaabbbbbbbaabab
+aabaababbabababbbbaabaabaaaabbaabaaaabbbababbbbabaaaabbabbaaabaaabbababbbbbbbaabbaaa
+bbbaabbbbbababaabaaababbaaabaaaaaaaaabbbabaaababaabbbabaaababbabbabbaaaabaaaabaababbbababaaabbaababab
+aababbbaaabaaabaaabaababbaabaaaaabaaabbbbaaaabbbbaaaaabb
+baababbbaaabaab
+bababbbabaabbbbababbbaaabbaabbaababbbababaaaabbabababbabaaabaabbbaaaaabbabbabab
+abbbbbabaabbbbaabbabaababbaaabaabababaaaaaaaaaaaaababbbabaababbbabaabbbbaabababb
+babbbbaababbbbaaaabaabb
+aabaabbaabaaaabaababbbbbaaaabaabaaabbaabbbbababbababbaabbbabababbababbabaaab
+babbaaaabababbaaaabbbaaababababaaabababbaaaaaababaa
+baabaaabbbbbbbbabbbabbabbbaaaaaaaabbaabbabaabbaaabbaaaa
+baabaabaaabbbbb
+bbbbbbbaababaaaabaaabbaaaabbbaabbabaaabbababbabaaaabbabaaabbaaaabaaaababbababbaababba
+baaaabbbbbbbabbbababaabaaaaaabaaabaabbbabbbbbbabbaababaaaaabaabaabaababbba
+bbaababbbabaaaaaabbbaabbabbbbabbaaabaaaababbabbbaababbaaaaabaabbbababbbbbababaaab
+abbbaabaabbaaabbaabbabaabaaabbaabbababababbabababbbabaaaaabbabbabbbaabaababbbbbabbbbabbabbbbabbbbba
+bbababaaaabbbbaabbbabbbaaabbbaabbbbaababbbbaabbbabaabaaaaaaaababaaabbbbaabbaababaaabbbbbaababaababb
+aaabbbaaaabbaaa
+aabaabbabbaaaaabbabababbbbabbbbbaaabbbbaabbbabbabaabaaaaaaa
+ababbaabbaabaaabaabaabbbaabaaabbbaaabaabababababaaabababbabbbaabbaabaaabbabaabbbbabaabbaaabaabbbbabbbbbba
+babbbbbbabbbbbababbbaaababbaabaaabaaabbaaaabbaaabbabbbaabaaabbaaaaa
+aaaabaabbabbababbabbbaaaaaabb
+aabababbaaaabbaababababbaabbbabaabaaabababba
+aababbaaabababbbbababbabababbbaaabbaababaaaabbabababbbb
+aaabbabaababaa
+abbbbbbabaabbabbbba
+baaabbaababbabaaaabbabbaabaaababbbaaaabaaabbaaababababbbaabbbaabaa
+bbbbaaaaabaabbabababbbbbbabbbabababbbaaababaaabbabababbbbabaabbbbb
+bbbbababbbaaaaabaababaaababbbabbbabbaababaaaabbbaaaababaaabbaaaabbbaabaaaabbbbabababbaaa
+bbaaabaaaabbbabbbaabbaaaaabbbbaabaabbbbbababbbbaaabaabaabbabbbabbabaabbbbaaaabbbaabbaababbabbbaa
+babbbbaabababaaaabbbbbbbababbbabbbbaabababaababbbaab
+baaaaaabaaabbaaaabbbabaabbaaabbbbbabbbabababaabaaabbb
+aabababbbbabbaaababbabbababaaaabaaabbbbbabbaabaabbbbaabbaaaaaaaaaaabaabaabab
+aabbabbaaaaabbbbabbbaaaaabaaaabbabaababaabaaaaaabababba
+aaabaabaaabaaabaababbaabbabbbbbababababbaababbaaabbbabbbbbabaabababbabbaabbbabababbbabababababbaabbbbb
+baabbbbaabbbbbababbababaabaabbababbbabbaabababbbaabaaaabbababa
+bbbabbbabbbbbbbabaabaaabbabababbaaabaabbbaaaabbababbabbbbaabababababbbbbbabbaaaaaaabbbbabbbbaabbbbaabaabbab
+bbbbabaababaaabbabbabbabbbbbababbaabaabbbbaaabaabb
+abbaabbbbbbbabbabbbbbbbbbbabbbabbabbbababbbabbabbaaaaabbabbaabbbbbbaaabbbbabababbaababb
+bbbbbbabababbaabbbbaaaabbbaabaabbaababbbbaabbbabaabaabbbbbaabbbbbab
+babbbabbabaababbabbbaaabaaaaabbaaa
+bbaaabbbaabbbbbaabbabbbaaabbabaabbbbabbbbbaabbbbbabaaaabbababbaabbba
+bbbbbbbaaabaabaababaaabababbbaab
+bbabbbaabaaabbabbbbbaaaaaababaabaabbbabababbbaaabaaababaabbbabbbaaabbaababaaaabbbaababbabbbbbbbaa
+bababbbabaabbbbbbbbbbabbbbbaabbbbbaaabaabbabbbabaabbbbbabaabbbabbabababbbbbbaabbbbaa
+babbbaabbaaaaaabbabbabababaaabbabaaabbaaaaaaaabbabaabaabb
+bbbbbabbaaaaaabbabbbaababbbaaabbbaabaaabbbabaaaabbbaabbbaaaababbbababbabababbbbbbababbaaaaabbb
+aaaabaabbbababbbbbabbbbabbbbabbabbaaabbbbbbaabaabbaaaababaabaaaaabbbaabaababbabbbbbbbaabababaabbabb
+abaaababbabbbabaabaaabaaaaaaabbaaaaabbbbbbababaaaaaa
+aaaabbbbabbaabaaaaaaaabbaabbbbbbaaaabbabbabb
+babaabbbabbbabbaabbbbaaabbbbaaabb
+aabbbbaabbbabbbabbaabaabababaabbababbababbbaabbaababbaa
+babbabbbbaaabaaaababbbbabaaababbabbbbbbaababaaaaabbbaababbba
+abaabbababab
+abbabaabbabaaabaabaa
+bbabbaaaaaabbabaababaabababbbbbbbabaabbabaaaaabbbababbbbabbaabbbababaabbabababaaaaaabaabbbbabbbbbabb
+aabbabbaba
+abaaabbbabbbababababaabaaababababbbbabaaaababaaaaabaa
+bababbaabaababaaabbabbabbabbaabbaaaab
+babbbbabaabbbbababbbabbaaabbbababbaaabbbabbabbaab
+abaaabaabaabbababaaababbabbbbbaaababbabbaaabbabaababababbbabbaaba
+baababbbaaaabbaabbbabbaaaabaababababbbaaabbabbbbbabaaabbabbbbaabbbabbbaaabab
+ababaaabbaabbaababbbbbaaabbbbbaabaaabaabbbabbbaaab
+abbbbaaabbbababbbaabaabbbbbbabaaaaabaabbbbbaabbaaabaabbaaabbbabbabbabababa
+bbbaababbbababbbabaabbaabbaaababbaabbba
+aaaaaabaaaaabababbbaaaaabbbbaabaabbbababaabbbaabbaabbabbaaaabbaaabbaaaabbbaabaaabaabbabbbbaababaa
+bbaabbbbbbababbbbbababbaabbabbbaababbbbabbabbabbbaaaabaaaaaaabbaaababaaaabbabbababbababbaaaab
+bbababbabbababaabbabbbbbabbbabaaaababbabbbbabaabbbbbbababaaababbbababaaaabbbbabaaaaabbaaaabbaaabababbb
+bababbbabaababaaabaabaabaab
+abaaabbbbbbbbbbaabaaaaaaaaababbaababaaaababaabaaabbaaabbaabbabbabaaabaabb
+aaabbaabbabbabbaaaaaaaaaabbabaabbbbbabbbbbaaaabab
+aabababbbabaababaaabaabbababbaaaabbabbaabbabbbaaababaaabbbabbaaaaaaabaababaaabbbbababbaabaaa
+baaabaaaaabaaaabbbbbbbbbababbbbaaaabaaabbabaaabaaab
+bbababaabbaaabbbabaaaaabbbaabbabaaababaaabbababbabbababbbabababaaababbbbabbaabbbbbabbaabababbbbaaaaaabb
+abbaaaababbbbabaaaabbbbaaaabbaaabaababbbbbbb
+abaabbbbaaabbbbbabbbaabaabababaabaaababaabababaaaaaaa
+aaaaabaaaaababababbbbbaabbbaaabbabbaaabbbaabbbaabbbaaaabababaababbaaaaaaaaaaaabaaba
+aabababbbabaabbbabaaaaaaaaaaabbaaaabaaaabbaaabababbb
+bbaabbaaaaababbbababbbbbbaaabbaaaaabbabbbbabababbbbbabbabaaababbababbaaabbbabaaaabbabbbabaabbbbb
+abaaababbbbaaaabbaababbabbababababaababab
+aababbbbababbbaaabaaababaababaaabbaaaaabaabbabaabbaaaabababaabbbbababbaabbabbabbabbbbabbbbbabbbabaaabbbabbaab
+bbbbbabaaabbaaababbbbabaabababababbbbabbbbaabaaba
+babbbaababbaaaabbaababababbabbabbabaaaaabbbbaabaababaabbabbaaabbaababbabbbabbaaabbbbaabaabbaaababbabbbbb
+bbbbbabbabbbabbaaabbbabbabbbaababbabababaabaaaabbbaaaababaabbbbaaaaabbaababbabbababbaabbbbaa
+baaaaabababbbabbbabaaabbabbaaababaaabaabbbbababbbabbaaabbaabb
+babaaabbababbbbbbbbabaabababbbaabbbbbaaabbbbabababaabbabbbbabbabbbaababaabbbbaaaaabaababbaabbabbb
+baaabababbabbbabbbbaaaaaa
+aaaaaabbaaabbabbaabbab
+abbabbbabaaabbbaa
+bbabaabbaabababaaaaaabba
+baabbaaababaabbaabbbbaabbbbbbaaa
+aabbaabbbabbbabbbbaabaaabaaababbbbbbabbabaaaaabababbaaaabbabbaabaaababbaaaaabbbbabaabaabbb
+abaaaaaababaaabbba
+bbbbabbaaabbbaabbab
+abaababaaaabbababbabaabababbbbaaaaaabbbbababbbabbaabaaaabbbabababaaaaababbaa
+abaaabaaababbbaabbababbbaaabbbb
+babbaabbabbbabbaaaaaaaabbabbababbbbaabbababbbbbbabbbbbababbbabbabaaaaaabbbbaaabababbaabbbaababbbbaaaa
+aaabaabbbbaaaaaababbaaaaababaababbaaababbaaabaabbaababaabbbaabaababaababababbaaaababaababa
+babaaaabbaabaaaabbaaabaabaaaababbbbbbaaababbababbaabbaaababbbabbbbaaa
+babbaaababbaababbbabaabababbbbbbbaaababbabaaaaaabababbababaaaaabbaaba
+abbbbbaabaababbbbababbabbababaaaababaabaaaabbbababbaabaabbaaaababb
+aaaaaaabaabbbbbbbbaabbbbbabbababbabbbababbbabaaaabaaaabaabbbabbaabbbabbabbaabbababbbaabbbbaaabaaaa
+abbaaaabaaabbbbaaaaaabbabbabbabaabbbabbaaaaabbba
+aaababaabb
+ababbbabaabbbaaababaaaabbbbbabbbbbbbbabaabbabbaabbbaababbabaabaabaabbabaaabbbb
+abbabaaaabbabbbababaaabbbbbbbb
+baaaaaaabaaabaaababbaabbaaabbabbbbbbabababbbbaaaab
+abbaabbbabbbabbbbbaaaaab
+baaababbbabbbabbaaabaababbaabaaaaabbabbbababaabaabaabaaaaaaaaaababaabbaaaaabbaabbabbbbbbabbaaaaabbbbbababa
+bbbbbbabaabaaabbaabbabbbaaaabaabbbbaabbaabaaaabaaabaabbbababbbbabaaabbaaabbbab
+aabbabbababaaaabbababaaaabaaababbbaabbbbb
+aabbabbbababaaabaaaaaaaabbbbbaabaaababababaaaababaabbabaaaaaaaaaabaabbababaabaabbaaabbaaababbab
+babbabababbbbaabba
+aabaaaabbbabbbaaaaabaabbbbbbabbbbbbbaaaaaaabbbbabababbaabaaababbabaabbbbabababbabaab
+bbbbbbbaabbbbbbabaabbaabbabbbab
+aaababaaaabbaaabaaabbaaaabbbbbbbbabbbbaabaabbab
+bbbabababbaaaabbbaabbbaabbabbbababbbbabbbabbabaaaaaabaaabaaaaabaaaaabbaabaabbbaababaaabaabbbabaabaaa
+babbbbaaabbbaabababbabbbbabaabab
+bbaaaaabbabaabaaabbbbbabbbbabbaaabbaabababaaaaaabaabbaaaabbbbbabababaabaaaabbaaaabbbaabaaabbabbab
+bbaaaaababbbaaaaaaaababa
+babbbabaabbbbbbbabaabaabbaabbababababaaabababbaabaaaababbabaaabaababaababbaaaabaababbaaabb
+aaaaabaabbaabbabbbbbaaabbbbbbbaaaabaaababbbbaababbabbaaaabbabaaabaaaa
+aababbbbbaababbabbabbaaaabbaabbbbbbababaabbbababaabbaaaabbbabbbabaa
+aabbbbbbbbbbbbaab
+bbabaaabbaaabbbbaaabbaaabbabababaabbabbbbbbaaabaabaaaabaabbbbbababbbbbbabbabbbaaabbbbabbaaabababbabaa
+babbaababaabbaaaaabaaba
+bbabbaababbbabaabbbaabbaba
+bbbabaabababaabbabbbbabbbab
+bbbbbaabaabbbaaaabbbbabbabbabbabbbabaabbaaabbbbaababababaaaabbabbabbabbaaabbababbabbbaaaabbaabbb
+bbbbabbabaaabaaabbbbbabbbb
+abaaabbbaabbbaabbabaabbbaabaabababaaaaaabaaaaabbbaabaaababbabaababaaaaaababaabbaabbbb
+aabbababbbabaaa
+bbabbababbabbbbaaababababaaabbabbbbb
+abbbbababbabbabbababaaabbaa
+bbbbaabbbabbabaaaaaabbbabbb
+abbaabaaaaabbabbabbbaaabbababaabbaabbbaababaabaabbababbaabbbaabaababaabbbbbbbbababaab
+baaabbbaaababbaaabbbbaabbaabbaaaabaabaaaababbaaabbabaaaaabbaaaabaabbaababbbbbbaaabaabaaaaabaaababbabaabb
+abaabbbabbaaaaaaabbaabbaabbbabbbbbbba
+baaaabbababaabbb
+bababbbaaabbbabaabbabaaabbbbabbbbbbaaababbbababbaababbababbbbaaaaabbbababaabbaababbaba
+baabbbaababababbabbaaabbabbabbaaabbbbbbaabbaabbbaaabaaabbbbbbababba
+ababaaabaaababbaaabbaabbabababbabbaabaabaabbbbbabbaaaabaaababbbaabaabbaaaaaababaabaabb
+babbabbbaaaaabbabbaabaaaabbbbbabbbaaabaabbaababaa
+baabbbabbbbbbabababaabbabbaaaabbbabbbabaababaaabbabbababaaaaaabaaababbabbaabbbbbbaabababaabbba
+bbaabbbbababbbbabbbababbbabbbbbabbbbbbbabbaabbaabbaabbababababbbaabab
+bababaababbabbabababaabbabaabbabbabaababbbbbbbbaaabbabaaaaaabaabbbaabaabaaab
+abbaabbabbbabaaabbbbaaabbaabbbbbbaaababbabbabaabbbababbbaaaabaabbaabbaaaaababbabababaabbbabab
+bbbbabbbaabababbababbbaababbbabbbabab
+aababaaaaaabbbaaabbababaaabbbaaaabbbaabbabababbabababaaaabbaaaabbb
+aaabaaaababaaaaaabababb
+aaababaabbaabbaabaaabbaaababbbaabbbbb
+aaaaaaabababaabaaabaababababaaababababbaaaaabaaabbbaabaabbaa
+bbabbaabbaabbaabbbbaabaabaabbbbaabbababbbbbbaaabbbaabbbaaaaaabbabaa
+bbaabbbbabbbaaababbbabaabbaaaaabaaaabbbbaabaabaaabbaababbaabababaaaaabaaa
+aaaaababababbabbaaaababbbbbbbbaababaabbbbabbaaaabbabbbbbaaabaababbbaabbaaaabaabbaabbabbb
+aabaaaababbbaababaabbaababbbbaaaaaab
+bbababbabaaabaababbaabaabbabbbbaaabbabaababbabbabbaabbbbaaaababaabaaaabbaabbababa
+aabaaababaaaabbbaababaabaabaabbabaa
+bbbabaaaaabbaaaabaaaaabbabbaabbaaaab
+ababbabbbaabbaaabb
+aaabababaabbbaaabaaaaaaabbababaabbaaabbbababaaabbbbbbabbaabbab
+abbbbabbbaabbbaaab
+baabbbbbbbabbabbaaa
+abbbbbabababababaaabaaaababbabbaa
+184 112
+aabbaaabbbbbbbbbbabaababbbbabbbaaabb
+baaaaaaaaaababbbaababbbbbbbabbbabbbbbbabababababaabbababbababaabaaaaabbabaaabbbbbbaabaaabbabbbaababaaaaa
+baaaaabbaaaabaaababaabbbaabbbbabbbbaabbaaabbbabaaabbbbbbbabaabbbbbaaab
+abbbabaaaabbaaabbbaaabbaabbbaaabbbbaababbaaa
+ababbaaaabbbabaaabaaaabbaaaaaabaabbbabbababaababbababbaaabbbbbaabababbbaaa
+bbbbaaaaabbbababbbbabaaaaaaabaaabbabbaabbbabbabaabaababbaaaaabbbabaababbbbbbbbba
+bbabbbbbbbabaaaaababbbbbabbbabbabbbababbbaaabbababbbb
+aabbbbbababbabaaabbbbaaabbbaabbaaaabaabababaaabababaabaab
+aabbbbbbababababbbbbaaabbaaaaa
+abbaabaababaaabbbaabaaaaaaabaabbabbbbbbbaaaabaaaaaaabbaaaaabaababaababaabbaaaaaabbbbaabaaaaaba
+bbababbbbaaabaaaaaabbbaabaababbabaaaabbababbaaaabbbbabbbabaaaabbabaaaabbbbabbabba
+abaaababbbbbbaaaabbabbbaaabbbabbababbbbaabaaaaabbbbabababbabbaaabbbabaaabaaab
+aaabbababbabbaaaabbbaaabbbaabbabbbab
+bbbbaaabaaaabbbaabbaabbbbaababbaaaaabaabbbbbaabbababababbbaaabbabaabaaabaababababa
+bbbbaaabababaababbbbbbaabaaaabaabbbabbbab
+bababbbabaaababaaaaababbaabaabbaabbaababbbabaabaaaaaabbaaababbbabbbbbbaabaabaababbbbba
+aabbabaaaabaaabbbbbbababaaaaaaaabababaaaaababaaaabababaaababbbbabbabbbaaabababbbaaaaabaabaa
+bbbaababbabbbbababaabbaaabbb
+aaaabbbbbbabbbaabbbaaaaabbbbaaaabbabbbbbababababbbbbbbaaaabbaababbababbb
+abababbabbababbbbaaaabbaaaabbbaaaaaaabbabbbbababbbabbbbbbaaaaaaabbbabaaababaabbabaaabaaabababbbaaa
+aaaababaaabbabaabaaaababbabbaababbbbbbabbaaababbaabbbaabb
+bbaabbaabaabbabbabaa
+aaaabababbaabaabbaaaaababbbbababaaabaaaaabaaaaaababbaabaaaabbabbaaaaabaa
+bbababaaaaabaaaaaabbababbaba
+bbbaaabbaaaabbbaaaabbbaabaabaabbbbaaabababaabbbbaabbababbbaabbaabb
+abbbabbbbbaaababbbbabaaaaabaabaaa
+bbbbbabbbbbaabaabaaabbb
+abbaaaababaaaabaabbaaaaaaaaabbabaabbababaabbabaaaaabbbabaababbabbbabaaabbbaaabbaabbaaababbba
+baabaaabbabbabababbaaaabababbbababbbababbbbbbabbabaabbababbaaabbbbaaaaabaabbbbbabbaaaaaaabbabaabaaaabba
+aabbbabaabaaaabaabababababbbaabaabbbaabaabbbbababbbabaaaababaaababbbaabaaaaabbbabaabaaaa
+abababbbbaabbaaababaaaaabaabababbbaababaaa
+aaaaaaaabbaabbabbabaabaababbbaaabbaaaaabaaaaabababaaaabbabababa
+aaaaabbabaabbbbabbbbabbaaaba
+abbbbbaabbabbaabaaaaababbbabbaababbaab
+babbabaaabbaaabbababaabaaaabbabb
+aabbaabaababbbbbbaaabaaa
+aaaaabbbaabaaaababbbbbaaabaaabaabaababababaabaaaaaabbabbbaabaabaabaabbbbbbbbbabaabbbb
+babbaaabaabaabbbabaaaabaabbbaabbabbaaaaaabbbabaababaababaabaaabaaabbbaabbbbbbaaaaba
+babbaababaaabbabaaabaabaababbaababb
+bbbabaaaabababaabbbabbbbbaabbaaaaaaaaaabbaabbabbbabaaabaaaaabaababbbabab
+abbaabbaabbbbabababbbaabaaaaabaaaaabaababbbbaaaaaaaababaaabbbbaaabbbbb
+abaabbbbbaaabababbbbbbbaababbbbaababbbabbaabaaaaaabaaaabbbbaaababbabbabbbabaaaabbabbaababab
+bbbaaababbababaabababaabbbbabbbabbbababbabaaabbaaaabbaabaabaabaabbaabbbbababaaaaa
+aaabaabbababbabbabbaabbaabaa
+babaaababbbaabb
+baaaabbbaababaabaaaabaabbbbabababaaaabaabbabaaababaaababbaabbaabbbbababaabbbababaabbaabbab
+aaabaaabababbbbbbbababbabbabbbbaababbbbbbaabaabbbaabbabaab
+bbbbaaabbaaaabbbabbaabaabaabababaababbaabbababbbbabbbbaabbaaabbbbabababbbbaaabb
+aabbabbbaaaaababaababbbaaababbbaaaababbbaaabbbbabbbaaabbabaaaabb
+baabababaaabababbbbabaabbaabaaaaabbbaabbbbaaabbaaaaaaaaabbaababbabaabbabbabbbaaaabbbbabbbaabbbaaaaaaabb
+bbbaababbbaaaa
+babaaababababbabbabaabbaaabababbbaaaaababaabbaaabbabbabbbaaababaabbbbabaabbabbaabbaaaba
+babaababbaabbbaababbabaabaababbababaabaabbbaabbaaabbbbbbabbbbbabbbbbbbbbaabbbbababbababbaabbababa
+abaaaabaaaabaaaaabbaaabaabbabb
+ababbaabaaabbabaabaabbabbaabaabaabbabaaaaababbababbaaaaababbbbb
+bbaabaabababbbbaababaaaabbaaabaaaaabbaaabaabbbaaaaaabbabbabaa
+abaaaabbbbbababaaabaaaabbaaabababbabbaaaabaaabbbaabaabbaaabbbaaaabababaaabbbbbaabbbabaabbbabbbba
+babbbbaaabbababbbbaabbbbbbabbbbbbbabbbaabbbabbbabbaaaabababbbabbaabaaababbbbbbbaabbaa
+abbabbbabaabbababaaaaaaabbaaaaabaabababbabbabbaaaaaababbabbaabbaa
+abbabbbaabbababababbbaabbaabaaaabbbbaaaba
+abbbbabbabbbbbaabbbaabbbaaaaababaabbababaaabbbbaaabbaaabbaabbbaabababaababbabbbabaabbbbabb
+abbbbaabbababbbbbaabbaaabaabbbabababbbaaabaaabaaababbaaababaaabaabbbaabbaab
+aabababaaaaabaaabbaabaaabbaabbaaaabaaaabaabaaaaaaaab
+aabbbababbbabbababbaabbabbbabaaaaaaabbbaabaabbbbbaaabbbabaabbbbababbbbbabaabbaaaabbbbaabb
+bbbaabbabbbbbaaaaaaaaabbaaaaabbbbbbaabbabaaaabaaaaaabbbb
+ababbbabbbbabababaaababaaaaabbabbaaababaaababaababababbababbabaaababaaabbabaaabaabaabbabbbbbbbbbbbbabbb
+bbbabaabababaaaabbbbababbabbaaaabbbabaabbbaabaaabbbbaaaabaabbbba
+aaaaaabbabaaaabaabbabbaaababaaabbbaaababbbbaabaabbbaaaaabaaaaaaabbabbaabbbbabbaaaab
+babbbbbbbbbbbbbbaaaabaabaabababbbaaababababaaabbaaaabbbbbbaabbaaaaabaababbbabbbabaababbbaaabbababbbbaaabb
+aaabbbbbbabababbbaaabbaaabbbbbaaaabba
+baabbaabbababbbbabbbbabbbabababababaabaaabbaabaabbabbaabababaaaaabbbaababbabbbabbababababaa
+bbababbaaaabbbabbabababbbbabbaabbbaaabaaabbabbbaababbba
+bbbbbaabbbaabaaaabaabbbabbabbbbaabbbabbaabaab
+abbaabababaabbbbabaaaabaababaaabaaaaa
+abbbbabbabababbbabbbabbbaabaaababbbbbbabbabbbbabbbaabaababbababaaabaabbabababaabbaaababbbaa
+baabbbbaabbabbabbbabaaababbaabaabbbbaabbababbabaabaaaaabaabbbab
+bbabababbabaababbbbbabbaabaabbbbbbbbbbbbaabababbbaabbaabbabaabababaabbababbaaabbbabaaaababababbbbabbaabbbaaba
+bbbbababbabbbbabbaaaabbaaabababaaaabbabbaaaabbabbbbabb
+bbaabbbbaaababbbaaaabbaaaababbbababaabbbaabbaabababbaabaabbbaaabaaaaabbabbabbbbbbbb
+bbbabbabaaabb
+abbaabababbbbaaabbbaabbaaaabaaabbaababbaaabaaabbaaaaabbabbbaaabaabaaababbbaabbabbbababbbaaaabaabbaaaaaa
+bbbababbbbbbbabaabbaaabbbbbbaabbbbbaaaabbababb
+aaaaaaabbbaaabbaabaabbbabaabbaaaabbabbbaababaaaaabbbaaaaabaaaabbaaaabbaaaabaaabababababaabbaaaaabbaaababab
+aabaaabaaaabaaaabbbbaabbbabbababbababaaaaaaaabbaaaaabbbababaaaabbbbbbabbbababbabaaaaaaaaaabbbabab
+babbbbabbbbbbbbbbabbbabababbababbabbbbbbaaaaabbaaba
+babababbbbbbbbabbaaabaaabaabbbabbbbbbaaaaababaabbbbbaabaaabbbbaabbbbabbababaaaaaaaaaaababaaa
+babaaaaaabbabaabbbbbbbbbbbbbabbbaababbbabaabbaaabbaabababbab
+aaabbabaaabaaaababbabbabbababa
+babaabbbbaaaabaabbabababbababbaababababaabbbbabbbbbbaaaaaabbabababbaaababbbaabba
+babbbbbbbaabaabaaaabbbbbabbbaaabbaa
+aaaabbababbb
+bbbaaabaaaababababbbaaaabbaaaaaabbabaabbbaabbaabbaab
+bbbbbbbaaabaaabaaa
+aabbababaaaaaaabbaaaaaabababbbabbbaaaababbaabbaabbabababbaaaabbaabaabaaababbaaaabababbaaaabaabbbaba
+aaaabbabbbbbbaababaaababb
+bbaaaabababbbabaaaaababaaababbbababbabaaaaa
+aaaaaabbbaabbaabbabbababbbabaabaaaaaaaababbabbbaaabbabaabbbaaabbabb
+bbbaaaabbabbaaabaaababbbababbbabababaabbabbaaabbbabababbbbabbb
+babaaaaaaabaaaababbaaabbabbaaabaabaabbababbaaaaaabbabaabbbbaaaaababbab
+baabbbbabaaaaaaabbbabbaabbabababababbbabbbaaaaaaabaaaababbbbbaaabaa
+ababbababbbab
+baaaaabaabaabababbaababbbabbbbabaabaaaabbaaaababbabaaaabbabbbaaaababaabbbaaaaaaabbabaabaabaabaaabbababba
+babaaababbbababbaabbbbb
+aaabbbbbbbbaaabbaaabbaabbbbabbababaaaaaaabaabaaababbab
+bbaaaababbabbbabbbaababaaabaaabbabbaabbaaabbabbbbaaabbbabbaababbbaaaababaaabbaabbbaabbaaaabbbabbab
+abbbbaabbbbabaaabbbaababaabaaaababbbabababaababbbaaabbabaaabaaaabababaabaabbaaaababbba
+aabbbabbababbbaabaaabbbbabbaabbbaababbababaabaabaab
+abbbabbbbaabbaaabbbabbaaabbaaabba
+abaabaababbbabbabbbababbbabaaabaababababbabaaababbbbaaaaababbabaaa
+abbaaaaabaabaaabaaaabababaaabababaabaaaababbb
+babbabbabbbbbbbbaaaababbaaababababbbaaabbbaaabbaaabaabaabbbaabbbaaababaabbabbabbbaaababaabaaaa
+aabaabbabaaaaabababaabbbabbbabaaaaaab
+aabaabbbbbbbbabbaaababaabaabbbbaabbbaaaabbbababababbaaaaaaabaaabaaababbababababbaaabbbababaababbaabbaabbbaa
+aabbbaabbbaaaababbabbabbabbaaaabbbbaaaabbabbbabbabbababbbbabbbabaaaababaaabaa
+bbaabbabaaabbbbaabbbababbbbbbabababbbaaabaabababbbbaaabbaababaabbaabbbababbababbb
+ababbbbaababaaabbbbabaabbaabbaabaaababaabbabbbaabbbbbbaabababbbbbbabbaaabbbaabaa
+aababaaaababbaaabaabaaaaa
+baaabbaabbbbabbaaaabbabaaaabbabaaaabaababbaa
+abaaaaaababbbbababbbbbabaaaaabbbabbbbbbaabbbbbbabaababaabbbabaabbbbbaa
+baaabaaaabaaabbabbbaabaabbabbaaaaababbbabbabbabaaaaabaaaaabaaababbbbaa
+abbababababbabbbbabbbabbbaaabababbabbbaaaabbabaabaabaabbaabababbbbaabaaaabbbbabbbbaababababaaaabbaaaaabbaaaa
+abaababaaabbaaaaaaabbbbaabbbbbbbbbbababbbaabbbaabbaabbbbbaaaaabaabaaaaabbbbbbababbabaaba
+ababbbabbbaabaaaabaabaabbbbabaaabaaaaaababaabbabaaaabbaababbbaaabbbbabaabbbab
+abaabbbaaababbabaaaabaaabababbaa
+baaaabbbbbabbaaaaabaabaaabaababaabbaabbbbaabbbababbabbbaaababbaaaaabbbaabaaaaabbbbabbbababbabaaabbabbabaaa
+aaabbaaaaaabbabbabbbbaabababaabaaabbbbbabbaaaaaaababaaababaab
+bbaaaabaaaababbbbbabbaaabaabbaaaaababbabababbabaaaabaaaabaaaaabbbbaaaabbbbaaababaaaaaaabbababbaababbbbbaa
+abbabbaaabbbbbaabbbababbbaababaaabbb
+bbabbabaabbabaabbabababbbbbababaaaabaaaaababbbbabbbbbbaababbabbbbbababbbbaabaabbaababbbbaabbbabbabbbaabbbba
+aaababaabababaabbabba
+aaababbbabbaaababaabaaa
+abbbbbbbaaaabaaaaabbabbaabbbbbabbbbbbaaaaaaaabbabbbaaaababaabbbbbaabbababaabbababb
+abbaababbabbbaabbabaaabbbabbbababababbaabaabbbbabbaabbaabbaabbbaaabaa
+aaaaabaaaaabaabaabababbabababaabbababbaabbababbbbbababbaaabaaabaaaabaaaabaababa
+aaabbbabababaaabbbabaabaabbbbbaabaabaaaabaababbaababaabb
+abbbaaaaaa
+bbabaababbbaabbababbaabbbba
+aaaaabbabababbabbbbbbbbbbaabbbabbbabbaaaababbab
+bbbbababaaaabbabbbbaaaabbababbbaabaaaaababaab
+babaabbbaaaaabbbb
+abbabaaabaaaabbbaabaababaabbababbabbabaabbabbabbabbbbbbababbaa
+aaabbaabbaaaaabbaabaaaababbabbaaaaabbbbbbbabbbbabaabaabbbbababaababbaaa
+abbbbabababaaabbaaabbabbabaaabaababbaababbbabbaababbbabbbaaaaaaaaaaaabaaababababababbbabbabbabaa
+aababbabbbbbaabaabaaaaaabbaabbbaaabbbbabbbaaabbbbbaaaabbbb
+bbbbbbaaabaabbaabbbaababaababababaabbaabbbabaaaabbaabbbababbabaabaabbaa
+baaaabbbaaaaaabbabbbbaa
+abaaababaaababbbbaaabaaaaaaaabbaababbaabaaababbaababbbaabababbb
+ababbbababbbbbbbabbabaabbaaababbababababaaaaaaaaba
+abaaaabaaaaabbaaaabbbababbbaababaababababbabaabaabbaaaaabbaba
+bbabbaabbbbbbabbabbbababaabbbaabaabaaaaabbbabbbbbbbbbbbbbbaabbbbbaabbbbabaabaabbbbbaaaabababababbababaabaaaa
+abbbabbbababbbabbaababaaaabaaaaababbabbabaaaaaabaaabaabbabbaabbabbabbaaaaabbbaaaaabbabbbabbbbabbababab
+abaaababbbaabbbaaabaaaabbabbbbbbbaaaaabaaabbbabbabbbaaabbabbaabbbbaabbbbba
+aaaabbbbaabbaaaaabaabaaabbbbbaaabbbbbaaaabaabaabbabbbbbabbbbbbaabaabbabaaabbbaaabbabbbbba
+bbaabbbaababaaabababbaaabbbabaaaabababaabbbaabb
+bbbabbabaabaabbbaabbbbbabbaaabababa
+aabbabaaaaaabaabbabbbbbbababaaaaaabaababbaabbababbabbabbbbbabbaabaaababbbbaabbbbbabbbbbbbaaabababbbaababa
+aabbbabaabaaabaabaaaaaabaababbbaabaaabbabaabaaabbabbaabaabbab
+abababbbbbabbabaaaabbababbaaaaababbabababbbbabaaaaabaa
+aaabbabaaabababbbbaabaabbbbbbaabaababbaab
+abbbaaaaaaaaabaabbaabbbababbbbabbbbaaabbabbbababbaba
+bbbaabaaaaaababbaaabaaababbbababaaaabbaabababbbbbabababbbbbaaabbbbaaaababbbabbaabaababbbabbb
+babbbaaabbbbabbbabaabbbabbabaaaaaaabbbbbaabbba
+bbbbbbabbaabaabbabbbbbbaabbaababaabbbbaaaabbaaaaababaababbbbbabaaabaaaaaaaaaaabbabbababaaabababa
+bbbbaaababbabaaababbaaabbbaabbbaabababaabaaabbbbbbaaaaaaaaabbbabbaa
+babbbbabababbaaabbbbaaaabab
+babbaababbbbbbbabbbaabaaaab
+baabbbbbbabbbaaabbbaaabbbaabababababbaaabbbabbabbbbbbaabbbabaabbbbbbbabbabbaababbabaabaababbbbbbabababb
+bbbbbabbbabbbababbbbabbbbbabbababbbbaaabbbaabbbaaaabbbbaaaabababbabbbab
+aaababaababaabbbbbbbbbbababbbaa
+aabbbaaabbaaaaabaabbaaaababbabaabbabbbabbababaaababbabababaaabaaabaabaababaaaabbbbabaaabbaaababaaabbba
+bbababbababbbabaabaabaabaabaaaaaabaaaabbbabababaaaaabaababbaabbaababaabbaabbababbbbbabaabaabbbaaaaabaaababbba
+abbbbbabbabaabaaababbababbababbabababbbbbaabbabbbabbbbabbbababaabbabbabaaabaaaaaababbbbaaabbaabbbabab
+aaaaaabbbabbbaabbaaabbaabbabbbbbaaabbabbbbbbabaaaabaabababab
+bbabbabbbabaababababbaaabaababaaaaaabbababaababbbbababaabbabbbbbbaabbabaabaaabaaabbbaabbaabaaababbbaababaa
+aababaabbbaabbaaabbbbbbbaabbaababaaaa
+bbaabababaabbaaababbaaaaaababbaabaababbbbbbaaaaabbabbaab
+bbababbbbabbbabbaaaabbbbbbaaabbaaaababbababababbbaabababbbbaaabbabbbbbbaabaabbaaaabbbbabb
+aaaabbbbabbbbbaaaaababababbbabbbabaaababaaabbbbbbbaaaabbabababbbaaaababbbbbbabaaaabbaaaaabbabbaaabbbaabbaaab
+bbbaabaaaababbaabbbabbbbbbaabaaababaabbbababaabbaaaaababbbbabaabbaababbabbaabbbbb
+aaaaaabbbabaaabaaabaababaaabaabaaababbaabbba
+aaaaabaababbbaabaabbbbabbaaaaababaaba
+abbaababaaabbbabaababaababababbbbbbbaaababaaaabbbbabbbbabbbbbbbabbbaaaaaabbba
+aabbbbabbbabababbaababbabbabaaaaabaaabbaabbbababbbabaaababbaaaabababaaaaaaaabbabba
+bbaababbbbabbababbbaabbbbbaaabaabaabbababbaaaabbabababababaaaaaaaaabaabababbbaaaabbababaaaababbab
+50 38
+bababbbbbbbabbbaaaaabaabbbbbbaababbbbabbabaaaaaabbbbbbbababbaababbabbbaabbbbbaaaaaaaaabaaababaabbbbabbaaabbbb
+abaababbabbbbbabaabb
+babbaabbbbbbbbaaabbbbbbaaabbbb
+baabaaabbabbaaabbbaaaabbbbbbaaabaaaaaabbbaabaaaabbbb
+aabababbabaaaaaabbbababbabbbbbbbababbaaaaaaaabbabbaa
+aabaaaaababaaabaabbaabaaabbabbaaaabbaabbaabbbbbbabaaaba
+aabbbbabbbbaa
+aaabbbbbaababbbbbaaaaaabbaaabb
+bababbbaababaabbababaaababaababbbabababbabbabaabaababbbbbbabaaabbaababaaaaaab
+aaaababbbabbbbbabbaabbabaaaabb
+aaabbababbbababaabbbababbbabaabaaababaabaabababaabaababababababbabbba
+bbabbabaaaaaabababbaaabaabaaabbbbaaaabbaaaaababaaabbb
+ababaabbbabbaabbababbbbabbbaaabbbaabaaaabbbbabaabaaaaaabbabaaabaabaabbbabbbba
+aabaaabbbabaabbbaababbbbbbaabaaab
+abaaaaabaaaabbaaaaaaabbbaabbaabaaabaaabaabaaabaaaabaaabbbaabababaaababbababbbbbbaaabbaabbabbabbbbbbbbabaabbb
+baaabaabbbbaabbaabbbbaabbbbbababbaabaaabbaaabaaababaaaababaaabaabbaabbbabbbbaabbbbabaabababaabaabaaabbbbaaaa
+abbaaaaaababbbbaaaaaabbaaabbaaabaaabbbbaabaabbabaabbaaabbbabbbabaabbaaaabbabbaabbbbaabbaabbbabbbbaaaabaabaaaa
+abaaabbbbababbbaabbabaabaaaaaaaaabbbbabbbb
+abbaaaaabaabaabaababbbbbbbabaaabbaababaaaaaabbbbababaababaaaaabaaaabbabbaaaaabbaba
+aaaabbabbabbabbbaab
+aabbaabbabbabbbaaaabbbabbaaaaabbbbbbaababbbaaaaaaabaabbabbbaaababbbbbbbaababb
+aaaaaaabaabbaaabaabbabbabb
+aabbabbbbbababbabbaabbaaababaabaabaaabbaaabb
+aaabaabbbbababaab
+aaabbbabaaaaabbbbbaaaaababaaaaabaabbbbabbbbabbbbbaabababbabaaaaaaabbbabb
+bbbaabbbbbbabbbaaaabbbbabbbbaabbbabbaaaababbbbabbaaababbabbababbabaaabaaaabbaaaaabbaaabaabbaaaaabaabbababbbab
+aababaaabbbbbbaababaaabaabbbaaaaaaabbbbaabbababbbbbaaabbaaabaaa
+bbabbbbbabbbbbbabbaaaabbabaabbb
+abbabaabaabbabaabab
+bababbbbbabbbaaabababbabbaaaababbbabaababaaabbbabbbbabbbbbbaaabaaaabbabbbaaaaba
+bbaabaaabbaabbabbababaaababaaaaaabbaabaaaaaabaaababbbbababaabbbbaababbbab
+bbaababbaabaabbabbaaaabaabbbabbbabbbbabaaaaaababaaabbbbbabaaaaaaabbbaaaaabaabaabbbaaabaabbba
+aaaababaabaabababbbaaaaabbbaababbababaaaaabaabaaaaaaabbbaab
+abbbbbaaaaabaaabbbaaaababbabaabbbabaabababaaaaabbaaaabaaaaaabbbaaaaabaaabbabaaaaaaabbabba
+bbbabbaaaaaabbbbbaaaaaaabbbaaaabbbaababbaabaaaabbabbbbbbbaabaaba
+abbaabbbbbaaabbababbabaaaaaabbaababaaaabbabbbaababbbbbabbbabbaababaabababbaaababbbbbaba
+baaabbabbbbbbababbabb
+baabbbaababababbbbaabbbbbbbabaabababaaabbaaaaaaaabbbabbababaaaabbaaaabbbabbabaabaabbab
+aaabbbbbababbaabbbaaabbaabbbbaabbaabaaaababbbabbaababbabaabbbaabaababaabbaabbabbba
+baaabbabbbb
+abbabbabbbbbbbbaabbaabbbbbabbbbabaabbababbaaabbabbabaaabababaabaabbbbbabbabbaaaaaabbabaababab
+abbabbabbbbaabaabbbbaabababaaaab
+abaabbabbbabbbabbababbaaabbbbbbaabaabbbbbabaabaaababbababbbaababaabaabbbbaaaab
+bbbaabaabbaababaabbabababaaaaaaaabbabababbabaabaababbbabbabaabaaa
+bbaaaabaabaaabbbbbbbabbabbabaaaaaaabbabaabbbaabbaababbabaaab
+aabaaabaaaabbaabbbbaababbabbabbbbaabababaaabbabbbabbaa
+bbbaaaabbabaabbb
+baaabbabaabbbbbaaaabbbaaabbaaabbaaaabbbabbbbaa
+aababaaaaabbaaaabbbaabbbababaaaababaa
+bbbabbbbbbababbababaaababaabaababaaaaabaaabaaaabaabababaaabbaaababbbbaababbbabbbbaababbbbab
+204 45
+bbbcbcaacccdbbcaddddcbbbdcbbdcddbcbabc
+ccacbadaba
+babdccbcaaabbdcaddddaccdaddcadabaadabcacaaa
+bacdaabbaadbcacbdddbcdddc
+ddcdbaccccdbbabbcdcdbddb
+cccbdbacbaaabbdbcadbabcbbaaccbbdbadbdcbababcccdbadabadcbda
+bccdaaabbaccdcdddbdcddbddccbdbabbdaababcdaaddddcadcabbbcbbbadccbdbacaccacbcdbadccdacbddbdaadbdaab
+adaaaacbdbccbdacababcbdccdbbbacbdddccbcdacbdabdbdaabddccdaaaaadaccdbaacdddbba
+caadcccdbcbdacc
+adbcdadcabddabaabbdccdbdddbdacdbbaacd
+adcccadcdabbadcbbdbbbadac
+adcdbababadddaaaadbadccddbbbbcaaadbdcdaadbbadbbcacddcdacaabcbbcadddbaddadbabdbadcccbbaaaaddcbddaba
+bccadbcadcabbcdab
+bdbcacbbbabcdccdabbcdcc
+bdccbdbadbdccdbbdacabbdcdbacabcbdcbddcbbddadbdbbdbbaaabddabbaacbccbdadbcabbbdccddbccccddacadbdb
+cbcbbddcbacd
+bdaaaabdaaacbbacadadddccacccaadaddabbbacadbbcdcabcababbdcdadc
+aaddbaaabcbadbacadcadaaaacdcadccaabaaabbcddaadcdacccc
+ccdadaddccbbacbaacbdcaddccbdcbcdcdcdcccaaaddabbcbdccaaacbddacbabbdcaadcdadcabcbaccbc
+cdadbdbccaacaccac
+acbcddbbddbccbccaacadababbdcbcbdccaacdabbcdbaabdb
+caacaddbbdbdcbdbcbadcabbcabddbabdbadaddabcdddcdcccabcadddbada
+cdcbabccacdcdbdabcbccbcbbdbdbbbcbbdcddbcbcdacacdccbbcbcccbdaddddbbc
+bdbbddadcdcaccbbcdaababccbabcb
+bcccacdcccaadddaaabbabcdbaccdabcbbaacdbdcbabdd
+baddaccaaccaabddbacdbababdbacccacdacadbddcbcacaadbbaddacddddbdbd
+cdbcaaaabdbcccabaaabaaddbcdbdacbccdcdccbcbbaaaddacbbbdaabcbcbaaccacdcccdcbdababdaadcbaadabbccdbaacabbad
+cbbadbadddacbcaaccdbaabcadc
+dabcbbdcdbaaaaddcdabcaabcbacdaaccadcbdbbaacacabc
+cdacaacbadcaaddbaadcaabbddcaaabccabadacddbdab
+dbdbddbabbddacaadbadbaabdbaadacccbcdabaaddcbcccbbcbdaaaccababcbddadcadbacccd
+dacbbdabbaaabbbadbdcbbaadcbbbcadcdabdcbccabaabaddcadccbbd
+dcddbaabcdbcccddbcdaacdbbaccccaaacdcdcbdbcdb
+dcbaabaaadbadcddcccdbddbabcabccddccbbcdaacdcadbdacddcbcbcbaabbdcdcc
+dbdbbacdbcbdcbcacddcadadbadccbadadabddbdddaacadabbbdbcdabadb
+aadadccdcdadbabd
+cdbbbbadabaccbccccdcadbdacccabcbdddbbdadadcdddcbaaaabcaadbbaaaacddabbbcbabdbdcddcacdabacbdbdcdaccccca
+cdddcaacdbdbcdcbcacabdbddcddaccdabdbdcabbadabcddbcaadcbaabcac
+ccbbddbbabdaaabcdbddcddbabcaadaadadaddaacccacbadcbaacdcdbddbbacbacdddadadbdcbadadbbdcaa
+adbbadadbaadabdabbaaacbdaaddccbccdaddbcbdbcccacdbcbcaaadcbbddbcaaabddcdd
+cdcaabdcbdbaababaacbbdaccadaccdcabaaccbbccadcdaccabdcbadaadcbddbadcacbdadab
+bdabbbddddaccccbadbdcabbcdadbcbbacccdacaaa
+cdddddccbcaaabba
+adbaacdbbacdcadbaddadb
+dbdbbcabbcbabccbbdbbbaadddbdbadbbbccaacbbdbbcadbdcaadccbcacaacdbbbaddcdabcbcacadcbaaaaccdacbaaddbbbcddcbab
+adbdbbbccccadaacaccbdbdcacbaaacacbddbbbdbdbbdacdaabacacbacdbcaadbdbccccbcbcdabdbcbacaadabadbbbcbbbcbd
+abdbcbabbdabaadadcaaabdbdcaadccdcdaabdccddc
+caccaabcdaacbbbdabdbabbdaaccdcdb
+dddcaadcbccacbcbcdabdabbbbaadbdcacacbabdbacdacaccbcddabbbacadababdcdcaacaccadcdc
+abdccacadbbdddabdcdacabdacbaadacdabacbddacbbccaaacaddbadbbaadcababcddbadbbdddaadabcccddcdcadbcaddcaacdbccad
+dbcbbbabddadcbddbaabddbbbabdbdbbacbacbccccacacaa
+bbaddacbacadabdadbdbcbabdbcdcacbddacabbdcbd
+bcaadacccadacaddddbaccdcdadcbbdcbbbaabaddcdaacdbacabdabacaaadbdaaccbadbcddaabbbcbbbadabdddca
+ddddbbbabdadcdbbadabdddcdadbddadbababbccadcdadbdacabcddcabcccdacabcbbbcbcb
+cddacccdccbabacbaabddbaccbdaaababdaacbcabcabbdccbbcabdccaabbbddcbbddbcadccacaccaadccbdb
+bbdadbdacbdadaabbbdacddcbbbacacabbabbadcadcaddbcbdcacbacbdb
+cacadccdabcbcbcbbacbcdbaabdddaaabacabcbabbdabcdbacdacabacdacbabbdbc
+cbdcbbdcdcadadcadcdcbadddcbabcdbadadcdcbacacabbdbc
+bbdcbddacbabaadbaaaddaccdabadbaddcbddbbaccbabccbccbcdddababcddacbbacbbdcdbbcdadbbbddbacddb
+aaacabcbadaabdaadcbdbcdcdbbcadcdbbabbdcadac
+ccbaaddddbadacdaddccdcaddadcbaadbcabcbabdbaabdcccaccdddaacdbabcadddddcccbbddddbcccbbbca
+ccbcbcbaacbdddbaabbbdbccccbbbabdbaabdadcbbcbadbcdddcabdbbdaadcccdabdabababdcdccdcdabbdbdccbcbaadaa
+accbcacbcdaacbbabbabcccadaabcbaaacbbbbadcadcbbdccabcbdcbbcdcacacaacbacdadaaddcbbcadbdaccbaaaacdbb
+abacbdbacacdbbbaccbcbbbbbcdadabdcbdbcdddacdcdccbbdadadacdacdadbadabbac
+bcdbcdcdadaabddcbccabccdbddabaddbbbcdbddccbbdaccdacacbccbcbcbbcdcdddadcdbbbaccacb
+abbacaacddbddbbaaacaabbcabbbdbcbcdcbcbadddcbdbbddcdadaddccdbdbccacacddcccbdaacdbacbbcdbdbddcbabdcba
+bdadbdacdabbcaddabcaccdbdbaacbdaabdcacaccdbcccaaadcbaddadaaaaabbabdcddbcbbdddbbbbbcbdcbacdbabcdbbbbaddbbdb
+dabdcaccdadbaadacdddadababcacbcbcaccbaca
+cbbbbbabbcdacabbacaadbabbbabcccaabddaaccdabbcacacadbacccdaadbbddcdccadbccddadcdabbccdccbcaadab
+daddacadbaccdddbddbdadcdacdacdaccdbacaccddaddbbabdaaddbacdbcdcaaaaba
+dcbddcaadbbadccccacacaddbbbbabbbbdccbabcdadbdaacdabaaddbadcbdcadadbdabdbcbbcaadbbbbdcdcdcbbcdabaacbbaaaa
+aababdbadbdc
+dcaadaacdaccabaddbcbbaddaadcdcdbbbbcdacdbdbcc
+cbdaccbcbbaaacabddccabbbaaccbbcdcbbccadbbbdabcaabcabdbcccaacabdcadababdbdbdbaccdaadcdaacdcb
+daddacadacdacbdbacdbbcdddabccddcdbdaaa
+babdbaabdbabadabaabbcbdcbddbda
+abbbbddbabdaddaabccbcdcbbababdabcadcbcaadbacbbdaccddbabdbaaddbbaac
+dddbdbdadbbbccdaabcdcbaabcadcbbdadccbdaddaabaabad
+adadcdcabdadddddaa
+caaacddcacbcdbcbccbbbbaaabdabacaddaaaaababbbabdbbdabbdcadcabcacabc
+dcabcadabacbaacbcbacddbadaacbdaddbabccbbdccdcacdddbdcabbbcadbbadadccadbaadbcaddcbadbddbccbbddcabdaaabc
+ddbbdcccacdccb
+dbaaaabbddddababcbcaabbdccdcadcdbbacbcaabda
+adabccbbcbdaaabdcddcdccbcdbbccabccddcda
+cacbcaccbbdcbacdbbacababda
+adaaccdadaddccaadbadadabbbcaddbdcadcbdcdbdbdbbcabdbcbcdadbacbbdbcdddbbbbddbcbacdb
+acbacacbda
+dabaaacddcaabbdcdabaccaadaacaacddbacacdccabdaddcbaaabbbcca
+dacbcdbddbbccdcdab
+dbdbcabccabacdbcdbbbddaccbaaaaccbbbdcabddadcbbdbccdbbcdbbcbbbbdbcccccdabddccbbdaddbdadbbdbcdbbbdbaab
+abccaacdadcdccdccbcddccddabddbcccddcabbbabcdaaaadcdacddadacdcb
+ddbccbcaadbdcdabbcacadacacccdbadccbadabbb
+aadadbaddaacdacdadcbcccdcadbbabcccdcb
+adcdcbdbaddddaadbcaacbadbbacccbccbbcacdd
+acbabbacbcaaddbcdbbdbcacdcbaaadbccdcbabdaddcbab
+abaacbcdbcdbcadbadccadadbcacdbbdabbbdcbdddacbaacacbcaadaccccda
+dcadbcaadaadbcabbbacbbabcccbabdbabdadcbcbaadb
+dcbabbbdcabbddcbcaadd
+bbaacababccababccaabaabbbcbdddadcbddbcaacbacadabab
+bbccdabaacccdcdbcabdacddcbdbbaabbdacdccdabbdbdaaaabdacdddaadbbcbcdacbcabbadbdadbabbdbdacdacabadcbaaab
+cccabdbbcbcdaadbdbcaccddbbdbacdaaabddbabcdbcbacdbaccddccbdbadcdaacbabaddacdddcbbdddbcdabddabcdcdddbcadda
+babbdbadacbcdccbccccac
+abddacccbabacdaddadddadcdccabcacaadbbacdacadbca
+aacdabdadccaccabadbcaacddabcacdccbaccbccdcddbcbb
+ddacdcddccddadcddcdcbcbcadadcbcdcddaacbdc
+bbbddddbddcdcdaddccbaabdbbabdbcabcacadcabbccdbcdacbddacabbdabb
+dcbaabccccaccccdccbaccdddaacacaabbaaddcac
+daadcababdddbdacaadcddbbca
+ccdbdbbdbdbbacaaadcdcddcbadbacbdbcacdcacaaabbabaabaaaadcacccbbabdbcbcd
+dcbdadabdbcdcabdbaddbddddbbcdaacbdabbbabddccadbadbbadbbadcacccbcdbdcacacadbcaabadcdcdcbbdcadbdbbccddadbabbca
+cdcbbcdcdbbdbcccdddcdaabdcdbbccbcbdcacbcabbaacaadbcdabcddbccacadddaabdddccddcccabdbbcadadbcdadbadacdbc
+acbadadcdbcccb
+dabcdcadcddabddbabbdccccdcabadbaadcdaacabcacdadddabaddabddaabdbbdaddcadbbbaacbaadbbd
+abbcaadadadbbbbcddbdbacaacdadaacbaaadccaaacaddcaddddddadcacccdcabbbcdbdbccbdccaacacaaabcaaddcadbbacaadbdbca
+daccbccaaaacdddddadccbaabbddadcbaaabdbaccdba
+bcdacdabcdadbdcabdaccddbbacdbbbcaddbdbbdcdbddddbbaababcdadccaabbdbcddaa
+ddabddcbaccdcaababaddaaddddddbdabdbbabcaaacdaaadddcbacbacabddaacddaabdcb
+aacccaddabbddaacdabdacabcadabdcabbcbdccbcad
+bbdadbdabacacbccbbdaabdaabacabadadaddbcbaddbdaadbdcacbcbcbcaacccdccdbcdaddadcccadddcabaabcbabdbdbcdbbdacbbca
+aaadadaacaadaadabbddadadcd
+baccbbbaabbcaccbbccaacbdb
+cabacdcaaddaddbcbdaaddaabcacccdaddbdbbabbaadbbabaabdaabcbbdacbacddba
+aacbdddcaadadbabcacadbab
+dcbcadadaadcabadabbbb
+cbbbadccacdbddcad
+abdadccdacccccbbaaddcdabdddccbddddaaacdacadd
+caaababbdaacddadddcbdbadbdddccbaacdabadcb
+aabbaaddbacdcaaccabbbdaddadabaaaabcdcccdadbabaababacaba
+acccdbaadadabbadacacbcdddccdccdadcdbcacdacdbcbddbbbcabdcb
+dacbdcadddccbaddccbdbacbaaccdcbbbacaccbbacbddcbcbcdcbdcbdbcaaccbadbbacbcacdcaddcdcddbbbaadcccddcaddcdbdcbc
+cccacabccaccdcccdbabaabacadabacabbcabdabcbbdcccaaddbadcdb
+dbdbcbbbbdcacabbdcacbcddbcccaaaacbcdacaacbabcabaadaadbbdabdddc
+caabcabdcaccccbbaddadadabddccaaacacdbabcdadaacabbbccbadbcbdabdbbdcdaacda
+bdccdccdbbcacbddcbbadbcabdbabdcbaabccdbddccadbbcacbcbcdbccadddcdc
+dbdbdadaabcdddcddcdbdaacaddbcdabccadddbacabbaddca
+dcadbaabcbbccca
+ddabcdbdaadbcdbabbdcabddadadadbccdbbbddbdcddcadbcdba
+dbdaaabbbcacccaaca
+adadbdbbbcdcccbcbccdccbaaaaacbbdbbdcbdacaccbbdcdbdddabaccdddcddccdbdbdbbbccbcbccabcab
+bbdbdbbabbbccccbbcdbadbacbcccdbbcdcdccbacccdbaabccddaaddbbccacdcdccadabccbbbbbcdd
+bbbbbbdbcaadaadcbacbadaddabdabbca
+cabacdbddbcdcbbdbcbdbb
+cabadccccbaaddbacacbaddaccaccdddaaccbdcacbacbbdcaaddcddabccadcdabdcdcaacccadbcd
+abdcaddcdadabbcadcddbcbdcbbbbbcbddccdbddaaddbacbcacbcbacccaaccbbccda
+bdccdbccabadabbcddbbbadbbcbbbcacbbacbbacbdccabbdbbdbdadcbacbccadccaadbccddbacbbcbbcccbdbcacbbdcdccb
+dbddbdbcdbbaacdccbdbaada
+ddcddbddbcabbddabaacbcabcccaadbbadbaaacacccdcbbcdadbddcabcdbadbadacabdadccaa
+baadabaccccccdbcabbdbdbccbcbadadaadbbbaabcdbccacccdcbadaadbcacc
+ddbbaaddbbccabbdbad
+cbbcdbbaadbaccabaaddcbcdacbcdabdaddcababcccbcbbdaabdcbbacbbbabccaccbacbbbcabddbaaadacababaadd
+cbbbbaacddaddbccaaaccbaac
+aaaaabaabbdbb
+cbbacabcddbaaccbaadcaabdabcbcdbdaadadabddcd
+dbcaadbccdaddbcabcaccacdccddbadbcbaabdaadbccabacaac
+dcdcaaabadbccb
+abaabbbcacabbcc
+dadadcadacadbabbcbacadbdaabdbdbdaadbcdaaabacccbbcdcbcbcacaacdaacdaddbcdb
+bccadbaaabaadaaacadcaccbbaadbdcdbcdbabdbbbbadadbccbaadadaddbdcddbbbddccdcddbcbccccabdabb
+dcbaaccdcbdbbadbadaccbdacbcbdaaddaacbbccbcacbddcaaadddabbbbdadddabdaabbacbbbabdabdaadcbaddb
+abcbbcbadcdbcacbbbd
+caacbbabbabdccbdcbdcadcbdcbaaddb
+dbaacdcaccdbdbdbbbdaddcabcdcbabb
+dbcbddabcddcbddadbbccacdcbcddcdcacccaacaaabbaaddaccddadcbaaadcaddccdadabcdbcbdccbadbcbcdbdabbcbcddbdddadcadc
+cdcdbaadccdcbabddaadb
+bacadccbaaddbdbcdbbccdabddadbacbbccbaabbdcccadcccddaaacadacdbaaacddddcbbbabbacabbaba
+dccccadcdbcbccd
+bbacaabacadabcdbcabdacbabddaacabdbbbaaadddacccaaddbdcbaadbdaacdbbcdbdbdbaaabdacbdabbdbadbadcaddbaabddcbabbbca
+cacddabbdddaaaadcabbcadddcbbaccdcdaaaabada
+cdbaaddcccaacdbcacabd
+acabbcbbcdccaabdadbccbdcabdbbcdcdbaacabdcbadadcdbcaddcbcbcb
+cbdbcbcccacbadb
+bdacdcbacdcbcbcdabcabbacccddbcabdcccadbbbbddabadbdcdcadadbaacaccdccbabbdbcdddacbdbdddba
+ddccddbdaabadaadabdcaacddbbbaaacdddacaacaabcbccbacbcbddcddbcbdacacbdcadbabbadabaabcdcacada
+cbbdcbcbbccddababdcba
+acddabbcaadaabddacaaadccadcddacbbbaaabcdaabdcdcadccaadaacaccacaabccdcccabaabadcadadbdaaaaaacddaacabbacca
+bbcbdddcccabaabcdccddbaaadcbdddb
+bddbaaadacddcdddabbbdddcddbbccbddcdcdcddbccdbbddcbccddc
+dacbbdaaabccbdaaddcdbacaaacbadadcacddddbacbcdadacdbbddcabddbdcabdbbbddda
+aabccbaaadbdddbcbccbcbacacabbbcacdbdbddbadbcdbbbabbbdaccbcbccada
+badadbcdaddbdbdcbdaaaccacacabcbcacadddadbdcc
+abcdaadbabdaadadbdcaaabcddcdab
+accdbaaccabdbaddcdabba
+aabadacbaacdbbddcddcaccbcbacbabbc
+dbcaacccabdddbdadcdbadddcdddaaadcdbcaadbdbdbcabdc
+ccadcbacadccabadacaabcbdadabaaccabbdadabababdcbcbdcbcdacabada
+dddcdbcdabbcdbabdbbcabdabcdbcbcbabc
+aabcddacbccadaaaaaaddccdbbadd
+bdbcdccccbdbaccbacbcaccccdddadbdadccccc
+ddaccbabcaacabcbdabdbacaabaacabadcdbcdbdbcbaabbadbcdbb
+dacbcdbdccabbbbacbdcbbdbddc
+cdbdbddadddabbccbccdbdabbdbcbddcbddcbbaadcadabdacddacacaabdbcddbb
+cdaadadaddaacacdcccdbcacbbdbdddcdabdbcccbdabdaaddcdccbbacaccababbdcccabbdcaacbcaacbadbcdddccabccdbd
+aaabbdccccbabccbabaddbbaaacbabadb
+cdbddbbdbbabcadacabbccbdaabcddcccbbadcbaaa
+cacbadacbbccabcbccdcbda
+aaadbabcdaccbcabdabbdababbacacca
+bdbcbbddabcbbbddddbdaddbabdacacdbadddaccccdcdaddcaba
+daabacdbabdabbccbddcaaabdcaccadaadaabdbdabbbccbdaadaaacbdcddaaaaadbb
+dabbabbccaabddaadababbacabaaabadacabdbbaaaacbdbdaddbabbcddcbdcaacbbddbcaabbaadabcddbacbdbbabcadcccb
+cbcacbbacbadcccaabbacabcbbacdbdcabbcac
+dbddcabaddcbdacacadbabbbbadabccaccaabcabd
+bcdabaacccabcacabbdadccacdabdacabacbadaaddddaacbcbdabbaabdcdcaabbbbddbbddcbadcccdaabbdcbccdacddbdaba
+abbcddabbcbacbdbacdddbccaabdcbabbccdcdbbadcbcbdbbbddaabddbbaacbdaadabbc
+acacdacabbacbbabcdabdcbdacdddaaddadbcadaabddbddabcaabbdcbbaaccdbbcddbdbbbadddbdcddbdddcbddbcabbdacc
+207 160
+babaabbabababbaaabaaabbabbabababaabaabbbaabbaaaabbaaaaaa
+babbbabbbbaabbaabbbabaabaaaaaababbaaababbbb
+ababaaabbaabbbbbabaaaabbababaaabbbbaabbbabbabaabbbbbababbaabaabbbaaaabbbabbaabaaaaaaaaaaaba
+baabbaabaaaaabbbbaaaabaabbaaabbbabbbaabbbbaabbaabbbabaabaababbababbabba
+abbbaababaabbaabaabaabaaaaabbbaaaaaaabaabbabaaabbbbbaaaaaababaaabbbaaabaaabaabbbaaababbbabbaabbbbaaa
+abaabbbbaababbbbbabbbbbabbbbabbaaaa
+baabbaaabbbbabbaaaaabbabaaaaaabaaabaaabbbbbb
+abbbababbbbaaaababaaaabbbaabbbaaaabbbbaaaaabbabbbaabbaababababbababbbabbbbabbbbbba
+bbaababbbaaabbbbbbbbabbbbaabaabaaaabaabbbaaaabababaaabbabaaaabbbaabbabb
+abbbaaabababbbaaaaabbaaaaaaaaababbbaaaaaabbabbbbbbabbabbbbaababaaabbaaaba
+aababbaaaaabbaaabbbaabaaaaabbbbaaaa
+bbaaaaabbbaabbaabbaabababbbaababbaabaabaabbbaaaabbaaaabbaabbabbbababbbbaabababaaaabbaaaabbaabababbaabbab
+babaababbbbbaaaababbabbbaaababbaaaabbaabaabbbabbbbbabbabbbbabbbbbaaabaaaabbbbbbbbababaabbaabb
+bbbbaaaababbbaaaabbbaaababbababa
+babbaabbbbbaabaaababababbaaaabbbbbbaaaabbabaabbbbbaabbbbbbaab
+abbbaaaaabbabbbbaaabaabbaaabaabbaabbbabbbaaaabbabbbbabaabbaaaaaababbaaab
+bbaaaabbbbbbaaabbabbaaaaaaabaaabbaaaababa
+aaaababbaababaabaabbababaaaaaabaabbbabbbabbaaababbbaaabaababbbababbbbaabbbbbbbaba
+bbbbbaabbaaabbaaab
+bbbbbbabaababaababbabbbbababaababbaabaabbababbabbabaaa
+abbbaaaaabbbaababaabaabbbaabbabbbbaaaaaabbaabbabbbbaaabbaaaaabbbbaabaabbbbabbabaaaaaa
+abbbabaaabbabbababaaaabaabaaaaaaabbbaabbbbabbabbaabbbbbababaababaabaaaaababa
+babaabbbbabaaaaabbbbaaaabaababaababbaababbabbabaaaabababbbbabbaa
+bbaaababaaabababbaaabb
+bbaaaaaabbbaababaaaabbbabbaabbaabaabbaababbbaabaaaaabaabbaaaaaabbabbbaabaaaabbbbbaaabaabaaabbabbbabaa
+babaaaaaabaaaaabbbbaabaabbaaaaaabbbbaaababbaabbaaaaaaa
+abbaabbaba
+bbabbbbabaaabbbababbaababbbbaaabaaaaabbbbbbaaaaaabababaabaababaaaabbabbbbaa
+aabaabababbbbabbbbabaabbbb
+babbbaabaaababbbbbbbbaaabbbbbbaababaabaaaababbabb
+abbaaababaababbabababbbabaabbbabaabbbbbbabaaaabaabaababbabaaabababbaaaabababbbaabbbaaaababbabbb
+abbaababbbbabbabbabaaaaabababbaabbbaaaaaaabaabbaabaabbaaaabbbabbbabbbaaababababaaabbbaabbabaababbabbbabbbbba
+abbaabbaabbabbababbbababb
+baabbabaaababbabaababbaabbaaaabaaabaabaabaabaabbbbababbbabababaabaabbbbbaa
+abaaabbabbbbaaaaababbaabbabbbbaaaabababba
+bbababbabb
+bbbbabaaaaabaabbbba
+baabbbbbaaabbabbbaaaaaabaabbbbaaabaaaaaaaabbbbaabbaaaaabbbbaaaaabaaaabbb
+babaaaaaaabbabbbbabbbbbaabababbbabbaaabbbbbbbbbaaaabaabaabbabbabbabbbababbbaaabaabbbbbabaababbaababbbbb
+abaaababbaabbababaaabbbabbbbabbaaaabbaba
+abaabbbaaaabaabbbabbbabaababbbbabbaabbbbaaabaaababbabbbabbbabbbbaaaaabbaaababbbbbabaabbbaaababbbababb
+abbbaaabbbbbaabaabbaaabbabbabbbabbbbbbbbbbbbababaaaabaaabbbaba
+aababbabbabaabbbbbbbabbbbaabbaabab
+aaaaabababbbaaaaabbbbbbbbbaababbabbaabbbbbaaaaab
+aabaababaaaab
+aabbabbaaaaabaabbaaabaaabaabbbbababbabaabaabababaabaaab
+abbbbbabbbabbbbabbbabbaabababbbbbaaaaaaabbbabaaabaababbbaabbbaaaaabababbbba
+abbaaabaaaaabbbbbaba
+aaababbaaaaaaabbbaabb
+baaabbbaaababbbababaabaababbabababbabaabababbabaababaabababaaaaaababbaababaabbaabb
+aababaaaaaabaabbabbababbaabbaaaabbaabbabaabbaaaabaaaabbbbabaaabaabbaaaabaaabbbaaaaaaababaabbabab
+abbaabbaaaabaabbabbbbaaaaaaab
+abaababbaaaaabaababbbbbbabaababbabbabbbabbababaababaaababbbbbbaababaaaaabbba
+abaababbbabbbabbbabbbaabaabbabbbaaabaaabaaaaaaabaaaaabaabbbaabaabaaaaabbbba
+bbaabbaabbabaabbaaabbaaabbbbbaabbababaaaabbbbbaabaaabbababababaa
+baabbbabbbaaabbabaabaabbbbbaaabbbbaabbababbaabaaaaabaabaaaaaaaababbbaaabaabaabbabbbababb
+abbabbaabbbabbabbbababbaaaabbbbabaabaaaabbaaaaabaabaaaabbaaabbabbbbbaababbbbabbabaab
+abbbaaababbaaaabbabaaaabababaabaaabbbaabbbabbbbbaaabbbbabbbbaaabbbbababaabbbaabbabbaaabbbbaabaaaababbabababbb
+aaabbabbabbababbbaabaababbbababbaaaabbaabbbaabbbbbbaabaababababbbaaaabaaaaabbabbbaabbaaba
+baaabbbbabbaababbbaaaaaaabbabaabaaaabaabbabbabbbbaaabbaabbbbaaaaabababbbbbbbabbbaabbababaaabababb
+bbbabaaaaaabbbabbaaaaabbbaabbbbbbbbaaaabbbbbaaabaaabbbbabbaabababbbbabaabbbbab
+bbaaaabbbbbbaaabbbbabbabbabaababbababbbbbbbbbaaababbbbbbabbbabbaaabaabaaa
+bbaababbbabbabbbabbbbabbbbaabbaaabbbabbaababbaaaabbbbabbbabbbbababbaabaabbaaabb
+baabbbbaababbabababbbaaabbaabbabaaaababbbbabbbaaabaaaabbbb
+bbaaaaabbaaabaababbbb
+bbbbbbbabbbaaababbabaaabbabaaaabbababaabaaaababbbaaabaabbbabbbbaababbaabbbbabbbaabaabaabbabbbbabbababaabbb
+abbbababbaaabbbaabbbababbbbbababaaababbabaaaabbaaaaaaaabbbaabaaaaaaaaabbababbbababaababaabbabaabaaabab
+abbbbabaabaabaabaaaaabbaabbabbabbbbaaaabbababbbbbaaabbbaabbaaababaabaaaaabaabaaabababbbbabaaabaab
+aaabbbbaaabaababaaabbbabababbaaababbbabaaaaabaabbbaabaababaaa
+baaaabbaaabb
+baabbbbbbbababbabbabaaabbbbabbabaaaabaabaab
+bbbabbbabbbbabbaabaaaabbbbabaaab
+babaaabbabaaabbbaaabbbbababaaaaaaaaaaaababaaaaa
+aabaaaabaaaaabbbabbbabbbbbbbaabbbaaabababbabaabaabaaaabbbbababbaaaaaaaaabaaaababbabaabababbabbbaababababbab
+aabaaaabbbabbaaabba
+aabaaaaabbbababaaabbbaaaaabbabbabbaaabbaaaabbabaa
+aaaaababbbabbabbbabaaaa
+baaaaabbaabaabaaaabbaabbaa
+baaabbabaababaabbbaababaabbbbbbabbabaabbbbaaaabaaaabbaabbbbbabbbbaaba
+bbbbbbbaaabababbbaabbababbbbbbbbaaababaaabab
+bbabababbaabbbbbaababbbbbbbbbbaabbbbabbababbabaaaabbabbbabaabbbabbbbbbbbbabbbbaaaabbabba
+aaaaaababaaaaaaabaaaabababaababaaaaaabaabbbaababbaabbbabbbabaabba
+bbabaabbaabbbbaa
+bbabbaaababbaaabaabbbbabaabbb
+abbbaaaaaaaabbbaaaaabab
+bbbbbbbabbabbaaa
+abaaabbbbaabbbaabba
+aaaabaabbbbbabbabaabababbbaaabbabbbaaabbaabaa
+aaaabbaaabaaaaababaaaaaaabbbbabababab
+bbabbaaabaaaababbbabbbababbbbabababbaababbabaaaaabaabaabaababbaba
+babbaaababbabbbabbbbbabbaababbaaababbaabbbabbababaaabab
+babbababbbbbaabaababaaaabbbbbbbababbbbbbaabababbbabbababbabaabbbbbbb
+aaabaaaaabbbaababbbbbbbbbabababbbaabaababbababbbaababaaabbbbaabababbabaabb
+aaabaababbaabbaaabababababaaa
+baabbaabababbbaabbbbabbaabbbbbbaaaaabbbaabaabbbba
+aabbabaabbbbbaaabbbbaaabaab
+aababbbbaabaa
+ababbaababababbbbaabaaaabaaabbabaaababaabbbb
+baabbbabbbababaabaaaabaabbabbaabaabaabbaabaababbaabbbbaaabbabbbabaaabbbbbaabbbabbaaaaaabbabaaaabaaaabaabab
+aaaaaaabaabbbbabababbbabbababaaaaabaabbaaabbaabaabbbabbbabaaaaaababbbaababbbaaba
+aaabbaabaabaaaaabbababaababaabbbabbababbaaabbbbbbbbbaaaaabbabbbbaaaaabababaabba
+babbaaabbbbabaaaabbabbbbbabaaaaaaabaaababbaabbbaabbaaaab
+abbbbaaabbbabbabaabbaabbabaaababaaabbbbaaba
+abbaaabbaaaabbbbabbbbbabaaabbaaaaaabbbabaabbaababbabaaaaababbaababbbabbbbabaabbbbbbabababbbabababbbbbba
+bbaabaabaaaaaababababbbaaaabbaaaabababaabb
+baaaabbaaaaaabbbabbbbabbaaaabbbbaaaaaaa
+aabbbaabaabaabaabbaabbbabaabbbbaaaabaabbbbbabababbbbaaabbbababbbaaabababbaaaaabbabbbabaabaaababbbaaaabbaaaaa
+abaabbaababaabaabbabaabababababaaabaababbbbbbbabbaabbaabbbbbbbbbaaaabababaaababaabaabbbabaabaab
+abbaababababbaaabaaabaaaaabbabaabbabbbbbbaabbabababaabbbbbbaaabaaaa
+abababaabbaabbaababbbaaaaaabaabbaabbabbbbbabbbbaaaaabaabaaabaaaaabbbbbaaaabbaabbbbaaababbabbbbaaabbabaa
+aabbabaabaabaabbbbababbaaababbbaaaaaabbaabbaaabaaaababbbbaaabaaababbaababaaabbabbabbaaa
+bbaaabbbababbbbbaababbbbabbbbaaabababb
+bbababbabbbababaabbbababaaabbbbbaabbbba
+baabbababbbaababbbababaaaabaaabbbaaabbbbbbaababbbaabbab
+aabaabbabbaaa
+bbaabbbbabbbaaaaabaabbbbabbaabbbbaabaaaaaaabbaaabaabaaaabbabbabbbbbaabbabbbaabbbabaaa
+abaabbbbbabaaabbb
+aababbaabaabaabaabaababababaaabaa
+babbabbbabbabbaaaabbbaabbaaababaaababaabbaaaaab
+baaababbababaaaabbbaabbbaababaaabaabbaaaaaabbbbababbbaaaabbbbbababbaabbabb
+bbabbabbaabbaabbbbababbaaaaaaabaababbbbaaaababbbaaaaaa
+aaaabbabbbaaaabbaababaabaababbaaababaabaaaaaabababbbaaaababaabbaaabbaaabbbbaabbababaabaaaabbababbbbbbbbbb
+ababaaabbbabaaaabaaaaaaaaabbaaaaabbaab
+aaaaaaabbbaa
+abbababbaaababbbaabbaabbbbbbaababbbabbbbbabaabbbabbbaaaaaabababbaababaa
+bbaabbabbbabbbbbbbaaabbaabbba
+baababbbaabbbbabbaabaaabbabbbabbaaabaaabaabbbababaaabbbbbababaabababbbbbbaaa
+abaaaaaaaabaaaabbbbaaabbabababbabbbbaabbaabaaaababaabbababbaaaabbbbbbbb
+baababbbaabaaabbbbababbaaaaaababaabaabbbbbabbabaaaaababbba
+bbbbbabbbababaaabbabababbbaaababbabbbbbab
+aaaaabbabaaabbabbbbabaabbabaaaaaaabababbbabaaabbbbaaabbaaabbababbabaabb
+baaabaabaaaaa
+aaabbbaabbbabbaabbbabbababbaabb
+abbbabaabaaabbabbaaaabbbbbaabbbabbabbabbbaababbaabaaaaabbbaaabbab
+abbbbabbabbbbbaabaaabaaabbabbbbaaaabbbbbbabaaaabaabaaabab
+baaabbbbabababbaabbaababbaabbbbabababbabbbb
+ababbbbaaabbabbbbbbbbbbbaabaabbbbbbaaaabaa
+aaaabbbaaabaabaaaabaabbbaabaaabbbaabbbaaabaaaababbaabbbaaaababbababbbbaabbbabbbbbaabaaabbbababaabaabaaaabaa
+abaaabbabbbbbbbbabaaaabbbbababbaaaaabbbaabaaababaababababababababbb
+ababbbbbabbbbabbbaabbbbbabaabbbbaaaaabbabbbbbbabbbaababaabbbaaaabbbaabbababbbbba
+aaaaaaaaaabaababaabbbaaabaaababbbababbbbbbaabababb
+aaaabaaababaababaabbbabbbababbaaabababaaaaabbaabbbabaababbaaaaaaaabababbbbbabababbbaaaab
+abaabbbbbbbbbbabbbabbababaaabbbaabaaaaabbab
+baababbabaaaaaabbaababbabaabbbbaaaabbbabaaaaaababbaaab
+abbbbbaaabbbbbababababaaababbbabbababbaaaaabbbbabbbbaabbabbbbbaaaaaabbaaaaaaaabababaabababbaabaabb
+baabaabbaaaaabbbbaabaaaaaaababababbabbaabaaabbbbbbaaaabbaaaababbaabaabbbbbaabbaaabaabaabaaabaaba
+bbaaaaabaabababbbbbabb
+baabbbbbabbbaabbabababaabbaaaababbabbaabaaaaaaaababaaaaaabababaabbaaaaaabbababaaaabab
+baabaaaabaaaabbaaaaabbaaababbabbababbabaaaa
+aabbbababbaaaaabbaababbbbbaabaaaaaabbababbabbbbaaaabbababbbaaabbbabbbaabbbaaabababbbaabaaaaaaababbbbbaaaaab
+bbbabbababbabbabbaabbbbbbaabaabbbbabbbbbbbbaaaabbaabbaaaabbabbaaaaa
+abaabbbaaaabbabbbaababbbbaaababbabbbbbbaaabaaabbbbbbbaaaaaabbbaabbbabbabbababbabaaaabbbaaaababaaaaabbaababa
+ababaababbbabaaaabaababbbbababbbbabbbaaabbbbbababbabaabbbaabababaaaaaababaaabbbbbabababbbaabbaabbbbbabb
+abbbaaaaabbbabbbaabaabbbbabbabaababbaaabaaabaaaabaabbababaababaaabb
+bbbaaaabaaabbabbabbbbbbaaabaababbbbababbaabbaabaabbaaabbababbaabbbabbaababbaa
+baabaababbbbbbbaaabaabbbaabaaaaabbaabaabbaababbb
+aaabaaaaaababbbabbaabbabbbababaaaaabaabababbaababaaababbbbbaabbabbbaabaaaaaabbbbbaaaaaabbbbbabbbabaa
+aabaabaabbababaaabbabaaababaaababbabbbaaaababaaaababababbaaababbabaabaabbaabbabbbabbaabaaaba
+bbbabbbbabaabbababbbabaaaaabbbabbbbaaaabbbaabbbabaaaabbbbbabbbabbabbaabaabbbbbbaabbaaaaabbaabbaabbaabaaaa
+abbabbabbabbaaaabbbaabaabababbbbbaaabaaababbbbababbbab
+bbabaaaaabaaaababbbbaaab
+abbbaabbaabbbbbbaaababbbbababbabbbbbaabaabbbabaaaaaabbaabbbabaaaaababaabbabbbaaaaaaaaaa
+bbbabababbabaaaabaaaaabaaaaabaabbabababbababaaabbbbaabbaaabaaababbbbabbbbaab
+bbbaabbaaaaabaaabbbbaaabbbbaababbabababaaaaabaaaabbbaababababaa
+abaaabaabbbbbabbabbaaaaaabaabbbab
+bbbbaaaaababaaaaabbaababaaabbaaaaaaaaabaabbaabbaabaaaaabaaaababbaababaaabbbbaabb
+baabaabaaaa
+bbabaabaabbbabbaaabbabbbbbbbbaaabbbaaaaababbabaaaabbbabbaabbbabaaab
+aaabbbabaabaaabbaababaaababbaaabbbbbbabbbbbabbbbbabbbbabbbbab
+bababbabbbabaabbaabaaabaaaaabbbbababbabbabababaabbaaaaaabbabaaaaaa
+abbbbaabbbbabaabbabbbabbbabbaababbaabbbbbaaaaababa
+aabbbbabababbababaaaababbaaabaaa
+aabaabababbabbbaa
+bababbbabbabbbababbaabbabbaabaaaaabbaabaabbbbabababaaaaabbaabbaaabbaabbbabaabababbbabbbabbbaabbabaa
+bbbbabbababbabababababaababbaaaaaababbaabbabbaabaabababaaaabbabbababaaabbabbab
+abaababbbabababaaabbaaababaabaabbabaaabbaaaabbbbabbaba
+abbabaaaabaabbaabbbaabbbbbbaaaaaaaababababaaaabbaaaabbaaaaabaaaabaabababbaabbbbbbbabaabbababbaaababaaabaabaa
+ababaaabbabaaa
+babaaabaabaaaabbaabbaaabbaaabababbabbbbabbbaaaabbbabbaabaaaababbbbabaababbbbaabbbabbbababaaababbaababbabbbbb
+baaaaabbabbbbbaba
+abaababbababbabaaaaaaababbabbaababbbbaabbaaaabbaabbabbbbbabab
+baaaaabbaaabaaabaabbbababaababbb
+aababaaaaabaaab
+bbabaabbbabbbbbaaababbabaababbaababababbbabbabbbbbbbaabbbabbbaaab
+aabaaabbaaababbbaabbbababaabbbababbaaaabbabbaababbbabbbababbbabbbabbabbaababaabaaaababbbababaaaaa
+bbbabaaaabababbbbbbbaabbbabaaababaaabbbbbbababaabaabbababbaaaaaababababaababababaaabaab
+baabaaabbaababaaaaabbbbaab
+aaabaabbaabbaaabbabbbbbbbaabaaaabaaaaababbaabbabbbbaabbbaaaaaabbbaaabbaaabbbbabbbaabbbbbbaa
+aabaaabbabaaabbbabaabbaaabaaaababbbaaabbbabbaaabbababaabababbabbaaaababaaabbaaababbaaabbabbbbbabbbbbaabbabbab
+babbaaaaaaabaaaaabbaaaaaaaabbaaabababababaaaabbbbaaabbbbabbabbaaababbbaaaabaabbabababbabbababbababbaaabbbbbab
+aaaabbababaabbbaabaab
+bbbbaaaaaaaabbaabaaaaaabababbbaaabbabaaaabaaabababbbaab
+aabbabaaabaaabbaaaaabbaaaaaaaba
+aaaabbbbabbbbbabaaaaabababbaabbaaaabbbba
+aabaaababbabaabbaaaaaabbaaaabaaabbbaaaabaaaaabaaaabaabbabbbaaabbbbbbaabbbaabbbaaabaaabaaabababbababab
+abaabaababaabaaababaaaaabaabaaabbabbabbbbaaaaaa
+aabaababbbaaabababbbabaabaababaaaabbababbbbaababbbaababbbabaaababbbaa
+aabaabbabbbbbbbbbaaabbaabbababbababaaababbababbbabbabbabaababaababbbaaabbaaabbbabaaab
+ababbbbbaabbaabbbbbababbababbbbaabababaabbbabbaabababaabbabaabb
+baaaaaabbabaabbbbbbaabbbbbbabaabaaabaaaaababbbaaaabbabaabbbbbabababbabbababbbbbbbabbaaabaabbb
+bababbabaaaabbabbaababbababbbbaabbabaabbaabbabaabaababaaaabbbabbaaaabbababaaba
+abbbaaabbbbbbabbabaaabaaaababbbbabbaa
+aabbbabbababbbabababbabbababbaaababbaaaaababaabaabbbbaaaaaabbabababaabaabbbabbaaaaa
+aaaaabbaaabbaaabaaaaaaaabbaaababaaabaaabaaababaababaaaabaabbbbbbbbaaabaababaaabababbbaaabbaaaaaab
+babaaabaaabbbaa
+abbbbababb
+abbaabbbbabbbbabbbbaaaababaabaabaaaaababbbbaabaaaabbbabbbbaaaaaabbaababbbbbabbaaabaabaabbababbabaaaaababaa
+26 3
+bdbaacaccbadcaaadbbccdcbacbbcaadadaadbcabdd
+abcaaadcdccddbaddacdbdbdddbcdbbbbdbbbddaacddccdabbbdadcbcdccbcbdd
+dbcdbbbbcadabdaaddaababccaabacddcaaadcbddbdddccddbaadddcaaccabcabbdaaadbcaabaaadbcadaabdcdacab
+ddaccaddbdbccdcaadcbdbbabadbcaadaabcdabcaadaccadcbbbacaaacacdcadb
+bbbaadcbaabbbbccccbdddcbddaabcdcbaabbaadadbdcaadacbacaaaacdadaaadacbbcd
+cbcdbddbbdbbcbbddabbddcccdcbdbdadccdbcbcada
+cdcabdbabbcddb
+baacaabbadaccbdbccbdbbbdaaabccbbdacddbbadccadcabacdbcacacddbadcccddbcdccbbdcdcdaaaca
+ccbcbbbabd
+bcdbbcdacadccbccbbacaacbacaddcacaaadbdacdddcaacaacbcdcaaaaa
+adbbddadcaaabcdabbbbcaddbdadcabaaddbcbbacdadadbdabbccdbbbbbcddb
+cbbacbccababbbcbbcacabcaaabbb
+cccacaaddbdddadbbcadcaacacbbbcacdbaddadaabacadcabbbdadaacadabbdcbacad
+cbabbdcbabbddbcbbd
+caaabaaaccbdbbccdcacabbbcdcddacbdaacccbbbdabbdcccacdcbcabbbdcbbbaabbaacaababddbabcacdbbaadbbbdcdc
+dbcddacdbaadbccac
+cbaaacacadcbadabaabddddcdbbaadbddbcbaadcdaabbdbbabbccaacadbddcadcbcacbdacbabb
+ddbadaadacabdacbabdaccddcdddbbabcddbbaaabadbbdbcbbddbcdaadd
+cadbabcaccbcccaccbbcaccadcaabdbbbddbccaaccadaadbcbcbdddbadaddddacdbbdadbabdbadcbcbcbccaaadcaad
+aaacddabaadbaddbadaddbcdcdbdadbcbccadcabdccadacbcabadaaaa
+dbcdbadbbcbdbcccdcccaabcbcbcbbbddadabbdbbabdaabbcbcccddcdbbcabbaddbaac
+abacaadbabacbbcbcbbbddbdcdccaaabadaaadcdcdbdcbbcbacacdbcbaccdccdaccaaaddcccdccbbcbabcadacaabc
+aabbdcdbdadccaba
+bcabdcacdcddcbdbbacdcabacbabddcbbcaccaadabcbc
+bcccdcbbaadcadcdaddabdaaaccbadadbcddadbbccbabcaccbcbcbcddcabacd
+dbbbdaacdbbcbabcaabdbdddaadddcbbcaaccbbbcdaccddccbccaacddbabbccbbaccdbbbcccdccbcaabcabcccbcacdccccada
+17 9
+bcacdcdcbaaadcdcbdcabaabcbacadccbadaabacbbdbcb
+cdaaaabcaaadbcadbacadaccbaabdcbaadcbdbadcccbbbbbbabddcbaaaaacbdaadadbdcabbdbacbdbdabcaadbbadbcbbacbaa
+cdcccbcdabcbbddcbaccccbbcbabacabababcdccbcdbcbccbcabacdaac
+bdadbbbaaccbddcadcccccccbbaacacddccaccaabcbcdddcbabcaccdaabaa
+bcabaabccbaabbadcdddbccdbbddaacdadbbabdddabdabcabccddbabbabaacdbaccdbabadbdabcabcbcbdabadabcaadbdaaabdacbad
+ccbdcbbbdcaacacbcdcadaadcdaabdaddcabdaaaddadbcadabdddbbbdbbacdbacadadbdbbcbcdabcacabdacabaccdbabd
+bdaadccbbbdabadcabdcadacbbdabaccadbbbcdadbcaccdbacdabbcaacccbcbadddcaacabbbbbdacbdadbdbaddcbddddbabb
+bcdbcdcadababdadaadcdbbbdbdbccaadaabbbadcbbbbcddbdcabcbddcbdcdbdcdacadabadaccabcbccddadcb
+adbdddacaababaabccdcdacddbbdababaacbdcccdacdaddabccaabadbcbacbcadbbdbaacadcbdcbbccbcaca
+daaddbdbaabadcddbadcdbadccbbcabdbbbaccb
+cbbdccabaaaadaabbbaddb
+bcdcdadcbbcdcbdbadcccaccccadcddbdaccbcbdbdaaaacbcbddcbabdccdabcdbabbdddbaccbcddadbbdabbbbaadddbcddaaaaaddcba
+dcbddaabbbcabccbdbaccbdbabddabdcddcccccabdbdcbacccccbbcaddbbdbbbdbbadaaabadabccbcabaaddbdaac
+dabcacdddcbdacccaccaadaaacaadddddbdabbbadcaddbdccbaabacacaabacdaada
+daaacdbaacadbbdacabccdddadddddacbbbabcdaabddcddbdcbcdbdcacccccabacbcaaadccddacccbccdddbda
+bbabcdddbadcdcdacbcacacbcbddbcbbbadbacaadddabaddbacdcbbdcbdcdcdddaddaccaaddabaadaddcdaaabbdd
+bcdbabbccbadbaadbdbabaccdbaadcadabadbcbbadbcdaababcbccaaaacabbbbccdaaadcc
+144 34
+cabcacbccaacbc
+bbaccbabbbaccabcbacccbbaaacccaaccbaaabaaccbccaabbbbbcaaaccacbbacbbcbbacaccccab
+cbcbbbabababcabcacabcbaaa
+abaabacbabcbaacbccccbaacabaacbcbaabbccabccaccbcbabbcaabccaaaabccabcbccbbccaaaacaacabbbbcabaccbbbbbaaab
+cccbbaaaaabcbaacabbabbacccbccac
+abcabbccbbbbbcbbbacbcbacacbacbacbaabbcaaccccbacabccabcaaaabcbcabcbcccbaababbbbcbccababbbbcbacbcbcbbba
+baacacbaaaababbbaccbaaaccaabccccbbabaaaaabaabbbabcccbaaaaaccabbcbbcacccbabc
+caaabaabaaabbabacaacaba
+cabbabbaacbbaaacaabccbcabcbabcacbcbbacaabcbaabcaaaacbabcabacbcbacccaabcbababbbbacacababaacabcbbcbbcccbcaaba
+bcababcaabccccabccbabccaccbbacb
+abcbcbaaacbcccbabba
+bacaaaabbaccbabacabcaaabccbccc
+ccacbbbcbbbaaabbabccaacbacbbcbbbacabbccbbbcbacaaacabababbaabccbaaabacaabbcbbaccbbbbbabcbbbbcaa
+acabcbccaabcaaaccacabccbbacbcbabbaacaca
+abbbbaacaaabcbcaabcbccabaaabbaababaccbbbaabcbcbcccbaacabbccb
+babaaabbccaabaaccbcbbaccaaabbbccbbabc
+cccbaaabcaccabaaaaabccabcabbbbbaccabcbbcbcacabcbcabaacaaaabbbacaca
+aacabbbbaacaacaaacabbcbbccbabbaaccccbcaaaccaccbbcacacbbabcbcbaccacaaabbbbaccbabaabbbacbccaab
+abbaabcaaabbcbbbaabaaccabacbcaaaabbaccabccbbbbacbbabcbccacbbbccbaaabb
+ccbcacbcccbbbbbcbaccbccccaabcbbcccaaacac
+cabcabcbabcbbcccbccabbccacacaccbcaa
+cbcccabcbbbaaababbacbacbacaacbaacaccbaababaabbbbacabccbcbbacaacacacaaabcaabcaacbccccabacaababacaabbbcbcbbbbbc
+ccbbbbccacccbbcbcbcccbccbabcaabccacccccccbbccbbbcccaabcaacbbababacbaba
+bbaccbbaabbcabbccacbaccccabbabaac
+caaacaaacbcbbcabbaababcccccccbabbbccbbbbccaacacbbaaabcaabaaacabbbacbaccacaccaccbbccccbcbcbcbabccbaccbccbaccb
+cbabcbccbabcbbabaccbacbabccaccbccbbbbabbaaabbbabaa
+cabbcabbacaaababbbaabbbbabcaaaabbacbcccbcabcbcacbcbcaaacbccabaaaaca
+cacbbbababcbbbcbabbccccacbcaaacabcabbc
+ccbcbbaabbcbaacbccaaacaacbcbcacbcbaacaabaabccccaaaabcbccbbacabccbbcac
+bcbcaaaacaabccaababacacbcabcccccbccababcaaccbbcccbcbbaabaaabccbbacabaabbccaccccaabaabcbbcc
+abbcacabbcccbbbacaccaabbcaababaaabbaccabccbac
+cbaaacacccbacccbccccbaabbccacacababacaacbbaaaabacaccbaccbabacacabcaacbaccacacaabcccccacac
+bababababacabaccbcabaaaaabbcbacabbaaaaacbcbbabaaacbaacccabbabcaabcccbcbbbcaababaccbbcabaabbabaabaaab
+bbaacacccaccbacccccbcababcbcaabaccccbabcbabcbaacca
+ccbacbcbabaababbaccacbabcabcbbacbcaccaccbcbbaccbcbcbabacccabacabaabbbbbbcbacacccacccab
+accbcbbbccccbabcabaaaabacabacaaaccacacabcbccacabaccacaabbccccababcabbbabccaaaaccbbbaaabccbbacaaabbba
+cbccbaabcbbbabcaaabcabbaacabcaa
+abaccbccabbbbbacbcaaabcaa
+abbaccabbacbbabbbabcbcacbbccbbacabcbcccabbcacbcccbaacabcbbcab
+cccaacbabbacbcacaababcbbabbcbcabbbcbbbbccbbcbbcabcabbababaccaccccccbabbcacccababcb
+caabbaabaaaaccaaaaccbbabbbccbccbabacaaabbcccbcaaccaaccbbcccaccbbcbbbabcabcccbcababbbbbaaaccaabbbbac
+bbbaccabbcccbabccaaccabcbcbaccaaacbcaabacb
+ccbcbccbcbccbbabbcacbbaaccaabaccbcc
+aacababccbbbbbcabbabba
+ccbcbbbbcaccbbcbbaacbcccbcabbbacaccbcbaaaacbc
+aacaaabbcabc
+bbacbaacbccbaccbcaaaacaabbbbcabbacbaabcacbaaccabacabcbccbaacbccacbcaaccb
+aabaabcbaaccbbccabacabcabcbabbaa
+cbabbbbaaccbaacbbbababacacacabbcbcbbcbbbacababbbb
+bbccaaabccacaaaabaacb
+acbccabccbb
+bccbccaccccbbabbaabaacbacbbccccabbacaababbbbabbcaabaaababcb
+cacbbccaabb
+cacbcabcbcabbcacaacbbcabcabbbccbbcaacbbcaccbabaacccaababbbbacbbcaccaaabcaabbcbbbbbbacbcbabccaabbbcaaa
+bacabaaaaacbcbaacbaaaaccccacccabacbabbbabcababaccccbabbcaaabacaccbcccbabcbabacbbbbbbbaabcc
+bbaaaaaccaabbcbabcbbaaaabcbcacabbbabaaabbaaaaccaaaabaaacbaabaacacaacabcaabacabacacbbbbbcabababc
+babaaccacbacccacbcbaabbacccbbcbbaacaaaaabbbbac
+abacbbaaacbacccabababccccabcbacabbbaacabcabbcabcbcccccbbab
+acaaaaacbbbabacbccacbbabcccbbcbbca
+acbacacabbabccacbcbcabcaabbcaacabccbcbcaacaabacbbcaccaaaacccacbcbcabacccbcacbcbbcaccbcaaccaccbabcbbcbcbbaacc
+bacacacbaaccaacbaaacccbcccaac
+accabaaaaccbcbacacabbaabaaaabb
+accacbcaaabcababacabaaccccacbcbc
+bccabbbccbbbbb
+bbcacabbacababbaacbabccbcbcbbcccabacbcbabcbbcbcaccbaccbabcaacaccacbcaaabcccbbaacc
+abbcaccaacba
+bcbacabbaccabaaabbcbbcccccbaacccacbabbcbacbacacababacccbcaaababcb
+bbbcbcacbaaaaacabaaabcaaacaacaabccababbbaccbaaaababbb
+cbaccbcacbabcbbccccaabbaccbcaacbabacbbaabbaab
+abbcabbbbabc
+bbcacbaacababcbbbaabcbccbacbbcbcabbacacccaa
+acbbabbaabaaaabccccababacbacbbcbbbcccaccacacbbccbcabbbcabaaabbcbbacbacbaaccbbcbabcacaaacaccbcbacaccaacabcc
+bcccabbbaccbbaabaccaaccccaabaaabbabcccbccccacbbcbcbcacaabbcbbbcacbabcbaaaabbaccbcabccccccaaacaca
+ccaacaabbacccbaccbcacccbccbacbabbacaacaaacaabcccbcbabaccabcbcbccccacaabcbbbaccacacbaabbbcabbcc
+abbbcbbbbbbbb
+ccbbccbbbbcbac
+cabcbccbbcbccca
+accbcbcbcaacabbabcaccc
+abacaacbabbaccbacbcaabcbcaabbababcaaccbbcaabbaaaccaaccabacbcca
+bccbacbbaabcccababcacabcabcbcbcbaccbcabaacbbbcbcbacccccaaccbacacbaccaaababaacaabaaabbaabcbabaabbb
+cbcaabbccaaacccabbccaacabacbbcba
+bcabbcbbbcacbaaaabcccbcbaaaabbcacbccbcccacccbbacccb
+bccbcccaaacccaccaaabaacbcaaabccbbbcbcbcababbabcabaabccacacbabcbabcbcbbbabb
+caaabaccabbcaccaccbbabcabaac
+ccccbbccbcbcacacaccbaaccabaaaaaaccbcabacbcbaaaabccccbcbabccabacab
+aaabbcbbbbca
+aaabcbacbabacaaaccbcbccaca
+cccaabaacbaabcbbbc
+aaacacacccacbbccbccccaccaababbbcbabbbbbacabbbccbcbbacaacabccbbbbbcbacacbbbabcbaccccabacbaaaababaaa
+ccabbbccaaabaaaca
+bacaabaacaaacbabccacaaaabbcbcbbbcabcbcbbbcbbaaaabcabcccccaaabccbbacbabbbbcbccababbccbccbbbbc
+aababababaaaaabcccababbccabcbbc
+bbcbcababaccabccabaccbbacaccabacabcbcababaccaac
+bbbbabbbcbbbbccaabbbccbababcabacccbcccbccbacacaaacbbabcbacbabbabcbbcbccbcaaacbabacbccbbbcabbcccababbbbaabacc
+bbbbccaaaaccaaababbbccccccccccb
+aaaacccacaaaabbabbbcbbbacaacccaacabcacbbcbcbabccacacacbbcabbaabaaabcccabacaccbbbccabccbbbaabcbaaaabaaba
+acacbccbbabbbaabbababaaaccabcaaaabbcbcbcaacbacacbcaabccbcbabacccaaabbaaa
+caababbabaacabaabbccbbacabcabaacbcacbacacaccabababcccbcbbcacbbbbbcbaacbbabacaaacccbabaabcbcbccbbabccabacccbc
+cbbbacaacbbbacbabbaabaacaababbbcbacbcbaaaccbcabbbbccbcaaccababaccaaabcbaaabaabcaba
+babaacbbbaccbbbacabcabacaabbaabcabaaababcbabaaaacacababbacaacbcccaaaabaaacbccabcababccaacaaacacccbbcbca
+bbcbcaacaccbcaccccccbbbbaccbcacaabbabaccaababcabacccacbbbccaaaacbabacbbaccbbacaacacaacbacbbcaabcacba
+bcbbcabbabaabcbaccbbbcbcaccaacaca
+aaccacababccbccbccacbbbacbabccbaaaccaccacababaccbbcc
+acaccbaccbacbaacaaacabcaabacbabcbacacaacaabcbbcbacbbabcaabacbaaaabaaccabbbcacbababcbcbbbbaabbbbc
+acbbcbabcccacbcbabbccaacb
+abcabaaccccccbccbbababcbaacaccbccabbcccbcbcaabcbbbcaacbcbbcaacacccaaacabcabbabbcbabbbaacbacbbcbc
+cacaacabbacbabaccccbabcbbabbcbcbababccb
+cbbccaaccacccaacabcaaabbaaacaccaabcccbcccbacacaaabcacbcaccababbcabaa
+aaacbbcaaacbcabacbacbaaabacbacbbbccbacacbbccbabbbbcbbcbabcbcbbcacbabbabc
+baaaccbbaaba
+aacbacbbbbbcaaacacaaaabcbcbcbbbccbbbaaaababcccaabcbbbccacbccbbbabacccaaacacaababcaabcaccbbcbcbbacc
+ccccababbc
+cbbbacaaabbcccbbcabcaaccbcaccbabcbaacaacbababbbccaabacbabbacabbabbacabcababcc
+bcbaccccbbabbacbbbccbaaccbcaabbacbaabcbcbbaacbbbbacbbbabcabbbcbcbaaaabaccaacaabbcaacacbbbbaaabbabaabbcababc
+bcabccbbcaccbaaccccabaaabccbcaabbcabcacbccabcababacacaabbababca
+cbbbbbcbabbbacb
+bcaccaacaaaabbbaaccacbbbcc
+aaababcbbaaacabbabcacacccbaabbaacbccaaabcacbbcbbc
+accbbacbcbaa
+ccaababcbbaabbacacbbccbbbbaabbcacccbbaaabbabababca
+acbcbccabbbacbccbacbbccbacaabaacbcabaababbccbacbcaaabbbabbbaaacabcaccbcaabcaabcacccaaaabbcbaaaababababbcca
+bacbabbcbbccbcacbaccabbaacaaacabcabcabbccbabccaabcabcbbbababbbccaaacccbbcbabaaaabbbcaccabbacaabbccbaabaacccc
+bbcbcbbcabbccbcaaabbbbbbcbcaaacabbaaacaabacabcbbacbacacabcaacabbabcabcaabbbaaacaccaaccabbaccbbbbcbca
+bccaaabbbabab
+caacbcaaaabbabcaabaacbcbabcbaabccbcccbcababacccbaccbaba
+accbcbacbcacbccccbabacacbabcbcaacaabbcacacccbbaacaabbacaaacbcbbaaccabbabbcbcacbcaaccacabbcacbbab
+aababbcbccbbaccbbbacabcbcbabbbacacccbabccbacbabbccbaccbcbabccbaabaa
+bcabaababaaaaacaccacbabaacbacacabaaaacaabbaababbabcbccaaabcccbacbcacbabbaacacbaacaabacbbcbbaabcacbaaccccbcac
+bccbbccaabb
+cbbcacbaaaacbcbcbabbbbcababccaabbacaaabaabbbaabaacacabbb
+cbaacbcbccaabbaacabbcacbcaaccbaacbaabcacccacbbac
+ccacbbcabacbabcbbbbbcaababacccabababbbcbccbcbbabbbbbcabacb
+baaacabcccc
+bbaabccccbaacccaaabaaacbbcabacccc
+cbbaaaabbbbcbcaaccbabbccbbccbbbcacbbbbaacaaabacacaaabbaaaccacbaaaac
+caaabaccabcacabcbbcbaccccc
+bcaccabaaaacabbbbabbccb
+cabccccaaccbcaaccbababccaaaabbbcbcccbbaacacacbbababcccacaabbbbbccbabcabcbaccbbcbabaaa
+baacbccbbabbabccabbbabacbabbbbcbacccbabbbabcaacabaaabaaaacbbbaccb
+abcaabaaccbc
+bcccbcabacbbcbacbcbabcbabcabcabbbacbbabbbccccacbaaabaaacbcaabbcacaa
+abaababcbbbacabcaacbbbbcaacbabcbbbbcbcaccacbabbbbbacbaabcbcabccbbbcbcacbbcacabbbcbbcab
+abaaabccaabbccbaaacbaccaacaaccbcbbccbbbaccabbabacbcaccacbccbbc
+bcbbbcccbcbcbbcccabbcaacaaabbbacaacccbbacacbcccbccccbcbbabaac
+8 8
+aaabbcaaaaababbbbaaab
+baabcbaaabacaccc
+cbabcbaabccbbccb
+abcccaaccbca
+aaaacccbaabca
+bbabcbaaacccaacacaabbbcccbaabbabcbabbcabcabbbbacbcbbcaabbbaccbacbbbccaccaaaccaaccbbccabbabcb
+bcbaacacabbbaaaba
+aacaccabcacbbbbcacbcccbabacaabcbbbbaccbcbaacaaabccabcbbbaaaababcbccb
+257 128
+ccbaaaaccccbaaabbccccaabbcaacaabbcbbbcbccbacbbcbaabaac
+abacbccaacabcaabbcaaacccacaccbbbcbcaabcaacbbcbababaccabbccbbbcbabcbccaaccccccccbab
+abccbaabbcccaccbbaabbcbbccabbaaacaabbbcabcbcbaabbcacbbabbbaccaabcbbca
+bbacccacabacaaaabbaabcbbbacacaacabcaababcbccbacaba
+cabcbcaacaaaaaabccbcabcbbbbbaabcbbccbccbaacccacacacbacbcbabaaaacbbcabbccbcacbcccbbcabccbcac
+aacccbbbcbaacccbacacbaccccaccacbabaaaccacccc
+caacccacaabcbcacbcbcaaababbaccc
+acccbccbccbcaabcbabaacaccacaccaccacacccaccccacaccbcaccc
+cbacacacabcaaaabcaabbabccbaacbccaabbaacccbaabcbaaaacbabaacbaabb
+cccbaccaaacababbccbaccbabcbcaaaaacabbcacaaa
+abcbbcbbacaaabaababaacacbbcbcaacccaacacacbbcbacbaabbbcbbbbbabbacaabcbcccabccccbbbcbcabccccbcab
+cbbaaabbcaaaabacccaaabbccbcaaaaccacbbabbcaacaacccbaaacabcababaaaacbbaaacaacabaccbbaccabbbbacaccaccabbbbbcc
+aacaabcaaccbcacbaccacbccabca
+aabbabbabccccabcccbbaca
+caabcaaccabbaaccbcacccccbccbabbcbccbcabaccbcbacccabcabbbccacccaccbcbbbcacaacbabca
+bbbaaabacaabacacccacbcbbaaaabbbbaccccaccbcccbbbcba
+cabcababbccccacbbbbbcbbcbbbbaaaabbacbbacbcababacccacaacbaaabbcaaccbbcabcaccbbcaccbbbabcaaaaccbaacccbbbcac
+abaccbcccbacaabcababccaaccbaacbbcababccabcaccaacbcacacbabcabbbbcbbaccaaaaaabcbbababccaacacbbbcaababcbac
+acccbcacbabccccbbccaacbbccbaaabbbbcbcbac
+accbacaaabbcaaccbbcaaccacccbaccccbacbcccbccaabcb
+abbcaacbbcaccbbabbcbbcabcbabbaaaccbcbcbb
+bcccababcbcbaccaccbabccbacbababbccbabcccbcaaacbabccabcabcbbbbaccaaaaaca
+ccaccabbbbbbabccbcabaacbaaaa
+ccabaccccccccbcaaccbcbabaabacbcaccabbabacabbaabbabacbacbcbbacaabbccaabbbcacccaacaccaabccb
+accacccbccbacacbcbccaaaaaacbacabbbabaacbbbccaabbcccbbcabbcabccacacccbbbaacbacbaabbbababcaabcabbaabbacabccba
+babcababcaabcccbaabccbccbcbabccbbaacaaabcacccaabaabbc
+aabacaabcccaabaaabaccaababaacaacbaacccaacaaaacbcacabc
+aaabaccbabcabcccbcbbcbaabaacbcabcabbacbcababcabcbcbaccacbbacccbbccabbbcaacabbbbbabbaaccaacccaaabccababccaacab
+caacacaaccabcabcacbbcbccbabcbbaccbababa
+aaacaacbabcbcccbcaaacbcccbbcacbacaaaacacaacacaaaaacccaabaabbacbabca
+aabccbcaacabacbaaaabaabacbbccbcbabcabbabbaaabacabaabab
+caccaccbacccabbaababccbbbcbaaccababcbaabbcbccbcacacbccb
+bbbaabaacbbcbbaabaacbbbaccaaaccbaacaaaccacbccaacbcbbccbbbbabbbaabacbbcbaccba
+aaabacccbbaaabbcbcabbbcacbcaacaccabbbababbbbabbca
+abaabaacacbacacabaccacbacbabcaccababbbbabacbaabcaaacbcbabbbccccaaacaaabaccbbccaaabaaccabcca
+bbccaccaacbabcbaabccaacaacabcc
+ccabcbcbcaacabcabcaccaabcccccaaaacabbcbbacabccbabaacccbbaacabccaaccbabacaabcbabab
+baabbabcacacaaabcbabcbabbbaababaaaabbccbcaccbacabccbcbcbbccccaaababacacbbbaaacacacaabbbaabaaabbacccbba
+acabbbbbbbbacabbabcacabcbbbcacccaabbaaaacacbaaaabbbbacbc
+ccababccbcbaabacbbaaccccbbbacccccabccccabacbbaaacacccaabaabcabbbccbcbaaccbcbacacaaaa
+ccacbaacacacbbcacabcbcbbaabaaaaccabbcaacabaacbbcaabccbbbbabc
+bcbbacbbababcaabcbaaabcbccbabcbccaabacbbacbabacbbbcaccaacaccccbaabcbcbcaaabbbbabacbcbababc
+caccaaaacaaabcbacbcbbbbaccbabbcac
+cabbbaccbacaccbcbcbccbacabcabbbcbcbbcbbbbbaaccacacabcbaacacbaaacbbcbcaabaacbccccbb
+abaaabaabccbabccaaacbaacbabaccbaacbbbcccacccabbbbbbbccacabbbcbcbbcbccccbcaccacccabbcccacbabbabaccbcb
+bbccbcbacbbcabaccbbabb
+ccaaabbaaabaaaabcacbaabcaaabbacbcccbbacccbbbbbcaccaccbabacabbacbbabacbcbaabbccbaaab
+acbbbaaaaabbbccbbaabbbcaccabbacbccbaaacaaacbccccaacbaccccbababcbacbbcbbbcbacc
+bcabcaaaaaccccaacccacacbabbcbcabbcabbccbbabccbcbbbbabb
+aababbacaacaabbabbbabbaabacaabaacaccabbccbbcbbbaaccabbccacccbacaacbaabbaaccbcccb
+acbacccaabbbbabcbabbcaaababccbbbbbacbccaabacbbaacccbccbcab
+bbacacacacbacbabcccbabaabaaacbaaaaaabbabacbcbcac
+bcabbbaccb
+aaacbabccbccacbababccaccaaccccbbcccaacbbcaaccaaaaabbaaabbcaabcaabababbbabbcbbaccaaaabbccccaaa
+bbbcabacbabcacaaaacabbcabbbabbccbcaaaccbcccbcaacbbabbcccbaacbacbcbacaabaabacbbabaacbbbbaaaccccccbcccaaccba
+baaacbacaacbbbcabacaacaabacccbbbaabbbabaacaaaaacaababaacacbcaabbbbbbbabbbbabbcbaaaaaa
+acbbbbcccbbbcaacbbcbbabbbcbcacabbcabcbbccacbcbcccbaacbaabccbb
+babbabbbbccccabcbbbbabaaaabababcbbaabaabcccbcb
+bbccaccccabcbccacbbacabaaabbabbcacbcbcaaacaaaccacbcbacacbcabbcbcaccbcacaabacaaccacccba
+abacaaaaacbcbbcccababcaabaaabbbccbbbacaacbacabaabccabbac
+caaccccacabababbcbc
+baccbbbbca
+acaabacccbacacccbbbacbcacbcaccbaacaabbacabbbaabbcbaaabacabacccccccacacacaaabbca
+cabcbbbbcacaccacaccabbcbaabcaaacbcbabbbaccaabbbaccccbabacbabacaccbaaabbbaabcbaab
+ccccabacacaaabbccaccabcbccbcbbbbcaabbbabbbcbbbbccacbbccbcbbccbaaacbbccaaccaacbababbccbababbbccbbcaab
+cbabbccabcaacbaabaccaabcbabbcaccacbbabbcbacbacbbbcacccbaabbaac
+baacaacbbaccaccbcacabbbbcccbaaaabbcaaccabacbaacbbbbcbbcbbac
+babbbabbaaacccccbbbacaaacaacbabbbbccbabaab
+baabccabbabcccccbaabbcbcaaabcbbbabcbacc
+babbbcacccbaabacccbaccbcbaacacabcbbbccababaabaacabbacbbbccbbabcbbabbccaacccacabcabbca
+acccaaacbcbcabccbcaaccbbccccacbbccacabccbbaacababcabbabaa
+cbcacabbcbcacabbabacaccccbbbbacaaaacababbbcbcacbccbcccabbbaccacbacbaccbcccbcabacbcccaaabaaabbabbbbacbcbcbabb
+aabcaaabbabbabcbbaccbbbccabacbbccbbaabaccaccaccbacaccbabccbbacacaaccaabacccbbcaabbcaacaccbbaacabbaabbbac
+cccccccbcbccbaababccababaacbccaccbbcacaaabcbaaabacabbaaaabcbbbbbbacaacc
+aabcbbcbcacacababbbaaacbbbbcbabcabbabbaaacccbabccacabccbcbbcbacaacccabacaacabaacbbbbbcbcbaa
+acbaababccabbbbbbacbbbaaabaaabccccbbbbcbaacccbbbccbaccaacc
+aaaccaaacbaabacababbaabaabcbbabcbacababbabbabbaabccacccbccccbbbbbaaccaabccbbcccaaabbcc
+abacaccbacacbabcbbbcbacccbabcacaaaabbabccb
+bbbbcbacbcbacaabcccbaabccbbacacaabacacbcbbabbbbcbcacaccbacbbaaccccabccacaacababbaabcbaaabcabcbaaaacbabcbac
+aacabcbcaaacccacacccabcaaccbcaabbbaccbbabbcbacbbbccccaacccabbbbbabacbbbaccbbccacbbccbbcbbaacbbabbcbabab
+cacccccbbbcbcccabccbcaaabbacaaccccbbabbccbabacbca
+accaccbababbaababbbcccbaccccabcaaacbbbbbabccbbaccbbbbaccc
+ccaccbcbcbaccbbabacccbbcbbcabbcaccaababacbaaabaca
+ccbbcbbaaacbbbacaaaccabacbcaacacaacabaacccbabcbaa
+cccbcacbbacacaabccabbbbcbcbcaccbbccacabbccacaabcbcbaaaabbcbbbaccbccbaacccacbcacbaabbaccabcaccbaacbcababbaacb
+babcaaaaacbcbbbcbaabbbbacaaaabaababaabcabbcbcbacbacaccacaaaccbaabcabbccacaacabaaaabbbabbbbbacbbbccaabacabcbba
+baacccbaababccbccccbcabbcabaaabbaaaccbabaaabaaaaab
+abaacaabccbbacbcbccaababbbbcabcbcacbcacaaa
+bcccbaaaabccababcaaabccaacbabbcbabbabaaabaaccabcbbacbcaabacbabcacabcaccacbbbbcccc
+bcacbbcaccacbaaacaccbaaabccaccacc
+acbcbccbaaaccbbbbcbabbabcaaaacaaccbabcbacacbccbacaacaabbabbbbccbbcabcabcabc
+ccacbaaccccbbacbabcccbcaccbbccccaaaacbbcbcbbcbacabccbcccbcacabbbcbabaaabbaabcaaaccababbcbaccccbcbbbbbacbc
+aacbaabcccacccbaccacabaccc
+ababcaaaccbbbccaababcacccaaabcabcbacbcacccccccacbaa
+acabaacbccccaababaabbcabccbaabbabaaccaaccbabacacacbcacacacbabbbccbacababacccbbcbbccccaaacccccbabbcccbaaaca
+bbccbabcbccbbcacbcbcabbcbabbacbbcacbbacccccacbccccabb
+cccbabacbacbaacaacaabbabcbcbabacccacabaaababcaaabbaccccaaabcabbcccbbbccababba
+ccbacaacbabbbacbbabcbbaccacbcbbcacaacaabbbaacbacababbababbbacbbbbaccbbccccaccccccacaba
+cccaccbcbbbacbaccaabaaabcbbbbacacabccbaaaccbbbabcccbacaaababacaacacababbaaccaccaaaaaacaaabaacbbcca
+cbbcbbcbbccabaaaaaabacacccbbabacccacacaabccaccbaabbbcacbcabccabcbcbaaacabcaaacb
+bcacabccbcccbcbabcaaccbcaacbbaacabbbbcbabbacbaccabaaccac
+baaabccabcaacabbcabbbabbbabccbcccbbacccbbaaaccbbcbbcbabbcbaacaacccaabacaaacbbaaacccbcccacaccccc
+ccabbbbbccca
+bccbabcaacbaaaccabcabaaacaacbabccbcabcbbbbbbccbbabacccc
+cabaaaaacacccccacbbcbbacaabccccbbbcbbacbabccbabcccaccbcbbcbbcaaccacbbcbacacbbbb
+bbabbccaccacaacbccacabcaaacabbbbbbb
+aabbaacbbbcbabbcb
+bccccbccaaccbaacbaacbcbccccb
+accbaccbcbcbcccabcccaaabbcabcbcacbbccccaaabbacaaaabaacbabacbbaaaacbacabaacbbacbbaaaabcbcbbaacccaaccbcbbb
+bccaaacbbcbbabbcaabbccbabb
+acbabaaabcabbccacccababcabaacbcbcabbbbaacabcacccbaaacbbabbacccbabccbbacab
+caaccccaacbaaccbcccaaaaccbacabcb
+cbbccbbcccabbbb
+abbaacbccababcbbccbc
+bbcabaccbbcbbaccabcbac
+abcccacccccccacbcacccacbccccaccbbbcabbbaaccacbbacbaabbcaaabaacaaaccccacaacbcaccccbaaccbac
+abcaabcacaabbcccbbbcacccaacccacccbccbbcacacbacbbbcacbaacbbabcacc
+cabacaacbaaacbaaaaacabcbcaaacbbb
+bbacabaabcbcbcccababcaaccaaaaacbccacbaacaccababccbcccaaaccacbcbbccccccaaccbbbcccbabaacbababb
+abbcbbcbbaaccbaabbabacabcbcbaacbcccabccbabbababacabbaccbccbbcbaca
+cbbcbacaabbabbaccabcbbbcbccbbbcacbbccccbabccaaacbbbcaaabaabcbbccccabaacbabacaaabacccacbbbbbbacbcabbaacbba
+ccabacbabcaccbbbac
+aaaacbaabbbaaccaacbbabbbccaaaaabcccabccbabbaaaabaabcccbcbcccaabcbabaacbbc
+abbaabcccabcccccaaabcaccabacbcaaabcbcbaabaabbbabbabaacacaaababaccabbcbbcbccabcbcabcabbcababc
+aaaacbaabcbaacbbacabcaabbcabaabacabbabaccaabbaca
+abcbcbabbaccbabbbabacbcacaabbbbc
+ccbabbcccccabababaacacbcacabcacaacaabbbaacaaabcabbabcabacbcbbbcbcccbcbaccabbbaabbac
+cccccabccacacacbbcbbcccccbcacbcccacbbbaacbbbabbcacacaabcaabbcccabbbba
+cbbacbbbbcbbabacccbcabbcacacaccbacaaccbbcbcbacaabaabbcaaccbbbcbbbccbcaacbccbcbabaccaaccccbbbaabccbaaaabccacbc
+cbbacaaacaccacbcbcacbacccaaabbabbcbabbbacbbabaaccaccbbcbcbababbaaabacbacbbabbacabacaabb
+caacbbabcbabbbbbbcaccabbaacaabbb
+bbcaacccaaccaacbcacabbaabbaaccacbcabababaabcabaccaccbcacbccbcaccbcc
+bccbaaacbacacaabcbbbbbacabccabaacabbacbb
+cccbcbcbcbbaaacbbccbbacacaccccccacbbacaabcbababacbacacaccbacacbabbacbcabbbabaabcaabcacbccbbacacbcaccbccbbac
+aacacbaaccacccbcbbbbcaaabcaacabccacabbcbaaabacacbacabbcaccbaaabaaaabbbbaaccbababbabbbaba
+cabacccbcbbbababbcccbccacbcbacbaccccabcabaaabcbca
+abbbabcacbacbacbcabaaacbbcaaabaaabbcbcbacbcaacaaacbcccabbccccaa
+ccbbbaccababcaabbacabcbccaaaabbaaabcaccbbabcabaaabbcacaaacacbaaabcccc
+bcbcbccacacacabcbccbaabccbabcacbcaccaacaccbaaaaacbcccbaababcbbcabbbcacbabbaccc
+bababbbacacbcacaacabbcccabcacbcaabaabaaababababbcbbcccbbbcabcbcbaaaacbbabcbababbaccacbaccccbcaaabcccba
+cbacbbccbccccbaaaabcbbcbcbbcccaacaacaaaaa
+cccabaaccbcabababbaabacabcbbabaaaaccccaccacccbbcaa
+cbcbcbbccaaac
+bcbaaccbacab
+bccbaaabcccabccbbccbcacbbacbacbcbaabab
+bacbcccbabaaaccaaabbbbccbaaccbccabcaabcbcabccbbaabacccacaaacabccccaabcabcbcacbbacba
+cbbcacabbc
+cbcaccacacccbacbbcbaabbbbbacaaacbbbbacaabaccabbccacaaccccbabbabbab
+baababbcabcbccbcacbcbbabc
+cccbcbaaacbcbabcbbbbcca
+abaacaabaabcccacbaccaccaaaabaacabbaccbabaacabbccaa
+acabaacabaaaab
+ccbbabaabbbcbcbaaaabababbcccaaaacabbcaacbccabaaacbbccb
+baaacabcbabacaaaacccb
+babcabbbcabbacbacbccacbcacbabbaacacaacbbccabcbcabacbcbabbccababbacaccaccacbcababcbbacabccacabbcacaba
+ccacaabababbabcbcaaaabaabacaabaabacaccacacbccbbccaabcbaacababbcaacccaaccaaaacaaabbccacaaabacbc
+accaaaaacacbabbcaaacaaacbbccaccaccacbcbabcc
+abbbbbcbaaccabacbbaacbbc
+acbcabacaaacbcacaaaaabbacbaacbabbacacaccababcacbcababcabbabbababaacbacaccacaabaaa
+cbabcabbbccabcabacbaccbcccaacbaaaaaabcabccbcbccabbbabbcbaacccaabbaccacaaccabb
+bacbcabccaabccbbaccac
+cbcabcbcabccbbacaccccaaaabbbbcbccbaacbbbaacccaacbcaccbaccaaabbacacabcbbacacaccbcabbacababababaa
+aaabbaaaaaccaacacaccacacbbaacabccaaaaa
+bbbbbaccacbbcbaaaabacccccaccbabcccbabacaabbbaabaabccaaccacbccbbbacccbbba
+cbcaaccbaacccabbcbccccc
+aaaabccacbbccccabaabaacccc
+cbaccacaccccabaaccccaabcccaacaccabbbbbcccbacbbacaaababccbcabbccac
+acbababccbbacacacabbabcacabbcbbbabbcccbbbaababbacccaabbbbaccaaccbaabaaccabb
+abacaaaaccaccbabbcccbccaabacbccacaaccabacbaaabbbcbbabcbababcbaaabbaacccabaaaacaacabbaccbbbbacbbaabaacccbab
+bbabbaccbacccbbabbbbbbcbacbbaaabbcaabbacaacbbbcaaccbbaabaccccbabbcaacccbabcabab
+cbbaabcabccaabbbcbbbcaacbacccaaabcacbbcbccacaacacbbcbcabbbcccabcacbabcacbbbacccbcc
+baaacccaaaabacacacbcaacabaacaacbbbabccabccbabcabcaccabbbbcbcbacacacbbbbcaccabbbcacbbbaaacc
+caacbcbacccbcaaaccabacbbabbaccac
+bcbbbbabacccbaaacacababbcacbaa
+caabaabbaaacbbbaacabaabaabccbbbacababbacbaa
+caabbacbbaabaccbcaccbababcbbbccccbabacabaaacccbaabcbbaabbaacabbabccacccbaabcacaabbcaaaacabcaaccb
+bbcbbbabcababcabcbaacbacbcbaaaaccbbcbbcbcaacbbcbcaacbcccbbcbaaabaaaacaabacbaaaabaacbaacacbaacbbabcaccbcaaabcb
+ababcabcabaccbcbbcaccccaccaccbababbcabbaccccaacaabacacbcbbcbbbaaabaabbacbcaaaababacacaababbcba
+cbabcabbcbabcacbbacbbcbaaaacccccacbcaacba
+ccbabbbaccbbccbbbccccbcccbbaaaaabcaaacbcaccbabccccccabbbaaababcbbccbccbbbacc
+aacaaabaabcccaabbbaabbaaaabaabbcbaaccabababcbbbbbcacabbbcbccaacaacccabbbcacca
+bcbcaabcbbbbaabbba
+cbbabbacacccbbaaacbbcbcacbbbbcaabbaac
+aabcbbbabbccbbbcaaccccbbcacbcbccbbaabbaacbababbbb
+abbaacbcabcbaaabbcabbbccabbabacbaccacbacbccbcbcacbaacbaccbbbbbbbbc
+abaccbcbbbaacccccbabbbbaababbaabcabcacbbabcaaaacbbbbaaccbcaabbaababccbbcabc
+acbcacbcccbacaabacbbcbcbbbabcababbaaabcccbbbabbbaaacccaacaaacbabacccacababaabccaabcbcababbaccacbaacbaaaabbb
+acaabbcaaabbacaaabaabbaabbbaccb
+aaabbccbbaacccabacbcabacccbabababcacaaacbabaacccbbbbcababbcbacccbcaaabccbacabbabcbacbbaaccabaccbbca
+cbcbbaaccbbbcaaacccbcabcaacacaacbaaacccbcbcbcccccbbabbabbcacbcbacbbaccaacbbcbcc
+acaabbcbbbaccbccaccbbcbcaacaccbbbccacabbcc
+bbaccacbbacbaabccaaaabbaaaccbabaabbbabacbbbccbccbbbbabbcaacaaabcbcbacaaabcaaab
+ababccbbaaacccbbabbbccaabccbaacacccabcccaccaabbbaacababcbbcbabbccb
+aabcaacccababaababcbbaacaccabcabaabbabbcbbaacccccbacbcacbccbcccaaabaaacccbbcaacbcaaaabc
+ccbaaabaaaacabbccaaaacbccbcacbcacbccabbcaaabbcbaacabacbccbbaccccbacbbbaaaabaccabaacbbcaaaaaabcbbabc
+aabbbbbacaacababacaaacbccaacbaccbababaabbcccbbabcbabbcbcaabcacbacbacbc
+bcacbabacbaabbbbaaabbacbbcaaaccacc
+aacbcaaababbbccaaccbbaaaccbbcaccacaaaaaccaacbbaacbabacbcacabcccbccaaa
+bbbbcbcbbcccbaaaaabcbbbccbcababcccbacbccbccbcabcabbbbcbabccbbcaabcbabbccbcaccabbacbbbbaacca
+cabaaaccaabcabcccbbaccacab
+ccccabaaacacbbaabcacbbbcbbaccacabaababcccaa
+cbccaaccaaaacaaccbbcaa
+cccbcbcccabbaaccbcb
+ccbaaaabcbcacaacacaccabbcbbc
+cabccbcababcbcbcaacacbabbcccccbbcbacbaabacaaacaacbcacbaabcabaaaababaabcaaacaabcbabcccabca
+bcbaacbabcccaaaabcaacabacabbaacbcacbaacbbaacaacbbcabcccbbbcacbcacaaccbaababaaabcabbcabbcbbacccbbaabcabcaabb
+bcbccbaacaccbbcbbbaaabaabbbbcbabbababbcabbbcaababcccabaabbaabcbcbaabaaccbbcabacbabaacbbba
+abcbcabaabaaabbcabacbacbabbccbbcbcaaaccccccbabbbbcabccaa
+aabcbaacbaabacacbcccbabccbccaab
+cbbacccbacbbabaabbcccacabbcbcabcbcbccabcaaaabccccccaacaaaacabacb
+acabccccbbaabccacbbbaaccabcbbcbacbabb
+abbabcbcccbbcaaaabababbaccbbcaccbcaaaabccabbcacabccba
+aaacccbacbcbbacbbbcbccbacabbcccccacaabbabcbbc
+cbbbbbcaacbaabbbcbbbbccabcbabbcbbbbababacbccbbbbcacaabacbcbbaababaccbcccbacbcaaacaaa
+acbcacaaccaaacbbacababcaaaca
+accaccbcccaabbcbacbbbcaabccabcbacbcaacbabcacabbaaccaaabbcbbccbcbcbabcbccbcbbbcbcacbacbabcbcbbacbcc
+cbabcbbbaaccabcbcabbaabcbcbacabbccacc
+aaabbabaaacbbbacabbccbcbbababacabcbabaaaccacbcabaacbacccabcbaabacaaacbaccccccabaabcbabccaa
+cabbccbbcccacabbacaccacbabcaccacbaccabcbabcabbcba
+ccaacbbcbaaabbcbcaabcaccabcbcabcabbbccabcacaabbccbbabccbbacbcbaccabbccc
+cbabbbbabcb
+bbbccbbcbaacbccaaacaaaccbbbcaacbbacbaaacacacbbbaab
+bbaccabcccabbaaaabbbabbbcccc
+acbbbbccbbccabcbbbaacbbbaabccbcccacbbccaabbacbaccaaaacabccbccabaaaabbcbcacbcbabcb
+cababbcbccbaacaacbbabbaacbcbacaababaacabccccccccc
+accbcaabbbaabaabab
+bccaabccaabbccbaacabba
+cccbacacbcbcccacacaaaabaacacababaababbbbbbcbbcaaaaabccbcaabbabccca
+aaabaacccbbbbccbaacbccbaaccbccccaaabbcaccbaaaccabaaccababababbbbaacabccbbbbcbbcbcacbbbacbbacbbcbcbcaccacca
+abababbcabaabaabbbacbacaa
+bbcaaacccbbccaabbcbbacbbccabababbcbabbbbcccbabbbacccaccbaccbccccabaabcccccacbaab
+bbbcaaaccbbaabab
+bccbabcbaabaacbcbcbababbbaabbcacbcbabacaaaabbcabbcbacabcbacaaccbcaaabaacccabbbbcccaaaaacacacaac
+cacbaabaaabcbbcbbaabaaaacacababcacaabbbbcabbbbaabccabaabbabacbcabbcac
+bbccacaabbaaccbcacbbacaccabcbbabbaccabccbacbccaccababbcccbccccc
+abcbcaabcaaaababbcababcbbccbcacbbbbaccbacbbabaabcbaacbbbabbcaabbbabcbcaccccbacaabaabacacccbcacaccbcb
+caababbcabaabaabbbabcbaababccaabcbcbccaacacbaccbacaaacbaabbabcccbabbbaabacacaaaccbbbaaac
+cabbabacbaaaccccbbbca
+cbbcaabaabcaaacaacba
+cacbbcacacccabca
+aacaaabcbacabccbcccccbbbabccbaacccaabcaac
+bbbbcbabbacbcaaaabcabbccaaaaaaaacabbacbaaabaacabbabacca
+bcababbabccbacbacaaabbcacabccabccbccbaaccacaacbabacaaaaccbbbcbbababcbcaabacba
+bacabbbbcbccabccabccacaacabcaacaababaaccabcccbcc
+cbccbbbacaaabcccbbbacaacacaaacbccbaaaabcbacbccacccbcbbbbbaabaabacacbbccbcbccbabaabaacabcacbcccbcbababca
+bccabbcccbaccbcbbbaacacaacbbbaccbcacacbaaacbaccaaaabaccacacbcbcaaaab
+ccacababbaabbbbaaccccacabababbbbab
+aabaaaccabcacb
+baabbbcbcccbcbaabcbcbcbbcaacacbccaccaccbcaabccccbabbbbcbbbacbcbac
+cabbcabacbaaabbbacbcaccaabaaaaabbccaabbccbcbbaccbbbcaccbcacbbaacabbabbabbccbcabbbcbaaccbc
+cacccbbbcccacaacbcbaabcbacaabbaaaacbbcacbcbbaacabbbbabcaacbcbabcaccbcaacbacacb
+bacacbbaccbbcbabcbbacaaaaaccabaacabbccacccbabbaacaccaabcccccbccaaabbbbbabccabcaccaaababbbbccbbccbabab
+baaacabaabbacbabacbabacbcaaa
+cbaccccbaccabaaabacbbbbcaababcaaaabaacccbbacacbbcbabbaabbcccaaacbcabcabbcaacaabbcbbbbcbabbbccccccbbbbccc
+caaabbcbcbbabbccabaabbcaaacccacbacbaabcabbaabcabbccabaacbbbaaacbcacaabbacccaaccbaababcbbaacbcbbbcbaccabab
+ccaacbaaccbcccababcbbacbacbbcabbabcabbaabaccaaaabcabccbaaaccbcaccacbcbcbcacc
+cabaccbbaaabbcaacbbbbbcacbabbbacacbacbbcbcaccbbccccaaacbbabcbcbbbbcccacaababbaaaaabaabcaaba
+300 21
+bdadadccabacdbadbcaddadbaabcccddaaddcdadbbcccddabaadada
+ddcddcadcbbbcc
+bdcdccbbadaddabaacdcbaaabbcbaaadadbacdddcdbbbacabccbbaadaaaaccbcbdabccdbdbcdccaaa
+cabbbacaaacccaaabadbbacababdcbcddcaaddc
+acdadcbacbbcbadcbbbbcbdc
+dabbbbacdacacababdabdaadacadddabdacbcdaabbabbaadcddbbdacddadddcdbbcdcbdaddcddccccdddbccbbdabaab
+cacbcbabdadbccabbbcddbdcaadacdcbbccddbbbdcaaaddbaaacdbbddcdbdddabcbbd
+dcbbacbccacdcbabacacaacaacdcddddbaddbddadcbbaccbcababc
+abdddadbddbaaccaacabbccaadbcab
+baacabadaabbcacddabddccdabcddaadcaadcdaccadcbbdabaacaccdbbabdbcdccbdcadbacababbdcc
+bddcddddddaddbcaabccddcdcbdadaadaacdcabbbdddccadaad
+badbbcbcccbbaddccbddccbdadcbcacdabcadcaaaddaaccdcdbdabacadacacbcbbcddbadbbaaabcaadddabcacccadcbdcdbcdacacca
+dcacdbadcbbdbbbcbdabccbbdd
+cccdbbccdbbcddcdddbabdadddacbddacbcadbdbbdcb
+acdaaaccadbddbacdbbadcddabcacbcabdadcbdaaabacabcbccdbcbbccabbddd
+bbdbdadacbdabaccadcccadbdacdccdadbccacbbdbcdabccccbbccaaacdcdbbcccaaccaccccabccbddbcddbadcbdbcbbbdbabaddccc
+dcccbbcacbcdbacdccbcabbabcdacdbdbabbaabccaabddabacadaabacbbadcdcdacdddcbccdbccacbcaadccbbadbdcacdab
+ddadcbccacbcbbaabcbadccddbccddcbaacdbaacabbdccdabbbcbcdccdbcdbaaddaccacacbbbad
+baaaaadaadbbdabbcbbbdadcbbbab
+cbcddbddcdcbacdababacdadbdcdbcadbcdcacdbbcccabdaadccbbcdddaaccaaadbabcccbbadccbdacbcaacacbabcac
+dadacaadacbbacacbcdadabcbcaddacbcbacbddaadaacdbccbdcdbdbc
+ccbbcacdadabaaacacdaabbdaabccbacdadacdacaacdddbddcbaaaddbdcdbccababadbcccdcdbaadcdacbdcdbdcccacbabdadcba
+ababdabdadccbbccbaddcddbccadadcbcdbccaccdac
+bbdaaacdddbccbbaabdccdaddbbadaccdaccbbaaaabbdabddcacdadcacadaabbdcadbdbcbcdbbbbdcdc
+bcbbbbabdcabbdadacacdcaccddbcabdcbbbcd
+bccaaddadbacaaadaaabcbdbcaacacdcdbdaabbacddcacacbdbacbcccdcadbaabbdbdbabcca
+abcabcaabccdaadcccacbdbbabadcaabbccbab
+dacccadbbdcabccdaddbcdbcccadadccbbdcbdbdbcbdbdddddcaaadabadadcabcadccbadbdaddacac
+dcaaabccadbdbdaccbddbbbbbacddccbccabcabcbbbabbabaaaaddabbcdacc
+cbbcaacacadcadacbaadbcabaabcdccdacbbdddaabacbdaaccddaddcccdadbbccdcdbcacdcacdddacddcacccaac
+cacdabcbcababdbcadcbabaaddccdddaabdbbbadcaaaccaaabcaababbbbdcadaadaaabdadadbdccaccbdadbacbcccdbdadcda
+ddadcdacabdacacacdbddccadbaccccbddcccbaaabcaa
+cbaacddaacdcabbbaadcbabacadbddcdcc
+ccbcdcbacbbbaaacbbcddabcdcdbabdcabdbbbbaabacccbbdacadbaaddddabccaa
+dddbdcbbdbbadaddacacbadbdadcdbaddccdadcddddaddcdccdacaacdbbaaacaacbdbaabbadcdbccbbcbcaacabacaaadcbcbdacd
+aacbcacdddaddda
+aaaccddbcadababdaaabaabbabcdcacbbdbaabbdaddcacccdddbdabbcacadaaacaabdabdccbaaccabbddd
+dcbccabbdacccadabaabcabddbdcccdbacbdcbbcbcacdcacdcddaaccaadbadcccddddccaaddbdaadcaccbdccaadcbdabdcbbdbcadba
+bcacacbcdaacdbbbabddaddbacdcdaabadcbabbddbadbadbb
+bcbccdabdbcddbbbcddcbbaddaabbccdddbdb
+dbcdcdcbdcabbdbdbacabcdacddda
+bbbccbaadd
+ccabdbddbadbabdaadbcbcddadaccdcabaaacbcdabbddacaabcbbbabdaddcbbc
+bccbcaadccddaabbbbbabbadabdaacdbdccabcddbaccdcbbadaadcdccbaddbca
+accdddacdbcadaccbabaccbddababcdacbccbdbbbbbccdcbdbdcdbcacccc
+bbaccccdabbdaccabcd
+cdcacdbddabbabacdccabcabadacccaacddcadbbcacadacacacbdccdbadbaccdbdaccdddacdbbcadaacbcbacbabdddbabaaacccdaac
+ddbacadddbaba
+cdbdaacccdcbddbbaadbcbbabcabccddaddaddabccaadbcba
+bacbbcbcaca
+ddddababbbbdaaabbcbcbcaddcaacabbaabcbaabbcaacbabda
+baccbaddbdaabbccdcbacbbdbbccdadabacbbddbadacdccacabddababacdbdbadbcadaddbdababbcbcbccdaacd
+dbccbcbadbdbdbbcb
+ccbdcbccdcadcabbdaa
+dacaadbbaaa
+cddadaabccbbcaccdccdbcdddadcabbadabdbacdbcbdbdcbdbdda
+adacdcadadbddcbdaabbaadcbbadccdcbdaaaacaadcbabcdbcbcddbabbcbadbddaaacddbdcdadcacd
+abccbadbaccbcbdbaaddbadabcdcbdbccdbac
+abdbbccbaddd
+bdabdaaccdcbcdabccbbbaabdddbccbbbaadbbaccdc
+ccbbcddbcacddbb
+cbbcdacaacbcbabdbddbcaadabbadbabbbaaabcbadcaabacccddbbcbdcddcaaadcbccbdcbaaacbdadcbadacbbcaaacaddaabccadbb
+bbccccbbdbabadaababbbdbaaadddbbcaddabcacbcacbacaccbbbd
+dddacccdcdddcddcccddbddaacbccccaadacaaabadbddabdca
+dcdbcdabcddabbdacdcbaccaaadddacaaaad
+aaadababaacaddacd
+acccabaaaccaabbcbdcccdcbbbdaadbbbddcdbcacbddbdbabaadaadca
+dcabcabbbbdcb
+bbcddcbdaabcccbaabcdababcbdbbcacc
+aaacdbbdbdbdbadddcaaacadcdddbaaaaccdaacdbdddcaabacdc
+ccaaacbccaabbabacdada
+dcadaddcdbcddcaccadbbdbbcbacdaadbacacbdaabdabdcdcabcbaabdbcbabababcbdadbadbddaaadb
+bbbbbccdcbbbaaababadbdccdcababcd
+dcccddcdabacadbcaccd
+accbbcbaacacdbcaddb
+dbdcacdddcbdcdccdccbddccdaacbc
+cbadbcddbdcbbccddcbaaabdddaddddbabbdbacbccaadaaddbbaaadcaaaddcbcccdbccbddcadccdcabaaddbbaddcacddbca
+acccbaaabbccbaddabcbdddddcaaacaacbcbdbcdbccbbdcabcaaacbcbbabddacddcaabbaddaddddabcbaabadbdddbdddbcbdcccaddba
+cbaddcdacacaddcdaccaadcaadcaabbdbccbadddcd
+cdaddbbcadabcaabcddcddccabbcdacbcddbacdcdbacaadcaccabbbcacbbcdddbadbcadbaabadbbcc
+cabdcadacadcabbdbddcbaadccabbcbbcbbadccbaaabbaabaccbdcbacbbddadacbbbdddcbadbbcdccbdcdbdaabbdcc
+dacaccadadadbcbbababdcbddaadbaddaaacccdbcacbbaabaccbbcadccaabcbacbbcbacbcaacddacabcbcccadaadab
+adbcbbdacbdddacdaacaaabcddaaaabbbbbabacdaadcdcaddcdacbcdacdccaadddbccadabccdabaacbca
+dcacbdaabacbcabcdddcccdaacdbcbdcbabaccbcaddbbbcabbcacdbbadaddcbddaa
+cabacadacbcbcbc
+acaccabdbbdcbbbaadcbaaddbadbbbdbccbbcdbcabdcbbcccbaaabbaa
+bbddccbccddbcbccddbdcddbbddbbcccacdddbadcadabdddaddccdcbbddbcbdbaabdccdbabbccdbbaccdcaaaabddddbdcbdddaaaaba
+bccccdbabcccbcccacbdacdbabcdaddabadbdbacdddddaaabdcbcccbacbcdaccbcadcddaacabcbddcdbdb
+abbcaababbdcdcaddaabbdbbdbdacbacbacbacdddcbbbadcaabadadcabccdcad
+dbacacccaddcaddcdababbaadcabcabcbddcbdadacdcccbcddaacdacdbcdccddabcbddbbbcccaccdbaabca
+aadaaccbbcdacbcccacaddaacdbdbcbbcacbbcdacaacaaabadbaadcddbdddd
+dcadcbabaabbbbbaadcddbccaacbaa
+ccddbaacacabcbdcdcbcabddddbbcbacbccdbcbcbbaddcaabbbaabdcadbcabd
+bdcbbacdbbcbdbdcbddaddbacbbaadbdcdbbcbacaabddbcdadbcbdaacdcbbbaac
+cccdaacababccdbbbcdaccdcbabbbdacbccbdbddcacbccacacdbddbbaabbbaadbddbccabbdabaccdd
+bbdcdcbadbcddcadbbddddbccbbcababccaaabaadbcccccbdbdbcddaccadaadabbddaddcdbbddabadccccbacaccdadacdbaccdbacadb
+cbbdccaddccdddaaccdcbaddabcbbcdddabbccdadbaaccbacbdabcbadbdcbadbdcbbcdddcaccccaddbddacdaa
+ddaadacdaddbcccdaccbdadaabaabbbbcbacaadbabccdcdcdadcaabadcccbbcabdbbdbccdbacaddabcaaddabbdccacdacaddaadcdccb
+bbdacabdabbaabdcdbdcbcacdbbdbadadcdabcaddaadcbdabdbdcaacacd
+caacdccdcbbca
+aadacabddbddbbbbaddbdbaabbddddaabcddaadacdbddbccbcbbaddacdadb
+cbacabccbdabdacdbbdacdbcdcccbababdadabdbadbdbcccd
+aacccdcdbddba
+ddcabbdccbabcbccccdcccdbbadcbdaacdabbdb
+bbccbbcbccbadacdbdabbdcbacabbaabdccbbaadcbabcdbdcbdbbacacbcbcabda
+acaacdcbbdacdabdaddbddbdaacbbccbaaaaacacbcabcbb
+dbcaadbcbdbccbadcbadcccaadbcddcdaabbbdaaabcadcacbacdddcabbbaddbcaadccccdda
+cdbbadaabcaccaabadcbbbcdccdcabdccdbcddaaabddabcbcadcadaaaabddbbabddcdbbdabaaadbdcdbadcacabaadbadccbacaac
+caddaabccdabbaddadacbbdcbdadbbcdbdadadbdbaabdbddddbacdaadababccdbddcaacabbcbbbacdbbbccbb
+abcbdadcbbdaddbbbaccdddabbdacdabdcddccdbbcaddaddccacdcadbabbddcacdaadddbbbaacdacbcdcbdd
+bcdbbbddabaaaabdbdaacddbd
+babcabbdbaacbcabddbadadaadcacdbdbdddcbaaddccbdcccbacbbdbaabcbcdbdcabddccccdbcdabbcdddbdabcccbbabcaacadad
+adbcaddabcadbabcadddddcadcdddabbaddbaacaabcabbbbcadcdc
+dcdcbbbacadbbacdacabbbbadaabcaadbacbababdaccdccaccdcacdabdcdcdbccdcbbcbaabccbdccdbad
+cbbdbcaadaaaacdcbbddbdcdaaad
+bdbbcdccdabdaaddcbabdccdaccbaadbbdadababcaabbdbdabbdbacaaabbddcbbdbddddacddbddabbbcaabaacbbabaabcb
+dccadcacddcdcbdcbdcdccddbabdbadadadabadddddcbbbabccbaaacdabbcdaadbbddabcbdaadbccaddbccbb
+dddcaccdabcbbdddcbccdabcbcaabcbbdcdcbcab
+dccbdbccacacacddbacdadcbddcdbaddccb
+baadaccddaabddaacbaaadbbbcacbbabaabaadbacbaacddcadcacdccdccbbddacbcccbcabbcacaaddbadddbdacbcdddcbabdacc
+cdaacbdbabbbbcaacdcbbcbddaaaaddcacddccdd
+aadacdcabbbbcddcadcbbbcdccdacbbbcddccdbdbbdbccaabdbbabdaaabadbdaacbbaddcdd
+dbaadacccccdabacdaaadccbabacbaaddcdbabcadcbcdcaabbacdcbbddcbbdcacbbadbbcbccbacbddcabcaaacccbacdbdbdbbaaccbdad
+dcadbbddcdbabcccbbdd
+cdaaaabbbddbccaabddbdcddbcb
+daccddccccadadaccbbdadcacaacaacccabcacdadccbbbcbbccccdbbbcdbcbccaccabacddddcccbdcabbdcdbaccccaadacaba
+adadaaccaadbdcdcdbbabcccd
+ccadbccdbcaadbabcacdcaddbdcaccdcbddbcddaacdccbbdacccdadbaaaaadcdaddbddcdbbdabcbd
+dacadbccbbbdcbacadadcbcddddbccabcaddacabcbcbddaabdbcabbadaabadadcbabbbcbcddccbccbaddddcbacbcdbddccac
+daccdaaacaaacddccdbcdcbbbacbbbababddaddddcbbccdbbd
+cbbacccabadabbdaaaaddbbccbbcdbbdcadcabacbcbba
+dbbcbdadcdcbababccadbcdbadbcdbabccaddcdcbddbcabababbadddbaccdacabdddbcd
+daddabdccbbbcdaadcadbdcbbddccbcddcacddbcaaacacdbdca
+cdccddccaadabdcdcbdbccabaaccddadcdadbdbcacbbcabdbbcbdabbcccabbbacdcaabaccaaadcccbbaadab
+ccacbbdacdbacdbcbbcbbdcdcdbbdaabaccdcbbdcbcbadcbcabaddcbadacddcabdabaddbddbdab
+ccbccdbbbbabcacabcbbdddcadacca
+accdadbcadcbacdaabcdbaabbcbccccadd
+dadddbaaccdbaddddbdbbddccddaadddacaabababadcdcdccdabbbddaaadbbadbccbcdcbdab
+ddaabbabaaacccdbbdcbcbacda
+accabcccdccccdbddbabdabdddccbacbaabbcbbacbbabdcbbabccbbabbddaddddaccbcddcdccdadcabaaacbccabcdcbcdcdacdddbd
+abbcaacbacabbaadccccbcaaaaaddcdbdbaddaaccbac
+cccdaaddabbccacccabdbdaaabdaacaaaaaaadacaaddbddacbdcdcbabd
+abacdaacddcbdbccccbcabacbbcbbdccaaaabdbcaddaacddbcbbdcdabcaaaddaacaadababa
+baadacccdd
+abddaccbdbcaccadcaddacdbbcbcdccdbbacbbabddbdabbbacbcbbbddacaddbcbccadbabddccdbaccddcaaadcbdbdcdabbaccdadaa
+cbadbdddaabacadacadbbbacbbcadbbbcdbddbbacdddbcbadcbabaabaacabbdcdbccbbdcbadddcaadabc
+dddacbdcbacddcddcbdcbbaccabdcbdbccdbbdddbd
+dcadccaabcbcdcbcbcbcbbccaadccdddbdaddbba
+aaaddadbddaadacbdadacaaadadcdadaadabdcbcdcbcabadcbacbddbaacaaccaadcdbdbccacdcbadaccccdcbabcadcabaccdd
+dadbbcdbdadbdcdcbddacccddcdabcacadbaaaaabcabababcdccdbbaccaaccdcbaacacbcdcdddbcdcbaa
+cdbabbdbaadbabddddacbbbdb
+dbcdccbaaababcadadddaaccddddadbadadccbcbabd
+aadbdbbccddacbdcbcdbabdbcbcbcabdbcabbaccbdcdbaddacacaabdaadddadacbdbdbbbbdadbabbcabb
+abcbdcdaacbdbcdbdbdd
+accbddbbbacdcdabcbacdcacadbdadbdbdbacdddbcacdcbb
+acbdbdcdcdcaaacaabaadcccbdbcadbabaabbbbdaccddcddadcddaaccccdbaaababaababdbccaddbbddbdcccbadabbbcdadcd
+dccddcdccdcdbbdadbbaacdaddbabcdddddbdccbdddbbddc
+cdddddbdaabbcbbcaccbcbbccccbdadaabbabddcbbbaabaccaababbaacabcbaacaccb
+bbdacadbabbacdcccbaabdcacccaacbaadddbaccabdcdaaabcbdabaddbcbaacbccdabdabdbcbdabdbaabcddbdcdcbdd
+cadbbacbcdccdaddbcccccdadacdaacaaadbddddcdbbbdcdcaddddddadbdccbbaaadccacabd
+ddbbbbdabbbacaccdbabcdbcbaaccdcbcbcbdcaddbaccb
+aaddcdbbdcdbaabcaadbabbdcadccbbdcbdabaaadcadbaaadbcadababacd
+baacccdccdcadbaabbcacdacbbacaccadcdabbdbadbdacbcabcbcdaddacabaadbbc
+dcbadbcaaddcbcaddcabbddccddbacabcdddaaddddcbddbdbaacbdaaaddaddbcc
+cdbcdcccbcdcaabcbdaddacbbdabdacccbaddacddcbcccbcdaaaddbcdcbbcbdbdbdbbccbdddadcbdb
+acaaabdadbbcadbbdabaadbdbbbcdbbaabaacbdabccddcacdadacccbcbcaddddbddbccacdcaabacacddbbdcacbabdbadaadabdbddbd
+cbbdacbddbcdcaabdbdbddbbcdadacbdbccbbcaabbdbabdcbccbabaddabbcbadaadb
+cbcbacbdbdcabcdaabbabdaabcdabcabbccbccbdcdddddcacadcdabdbcadcdcabbabcdacdccbcadcbbdbccd
+ccdacccacabbcbaddddcdcccadbaacacbdacaaabcabdddddacdccbddbbbadabcbccdbdbdcaddbdaaba
+bdcdbcbddbddaadcadabddbacbddcdddacdadabdacabdbcbdbdbaacbcacccaadacbbcdadaabdbcbbcc
+cacdbbaaabacbbdbcdbcdcdadacaccdbaabccbaacadbdcdbccbbbbbccdbacbbbcdddbcadcaaaccadc
+abcbdbccaddacdbbcbcdabdccadbcbabddbbddbbbcbbabbbaabccadbcddabdabbabcdaadbaaadbcd
+cbbaacbdabaaddcacbbdacccdbababacaacbaddbcdbdaaabacabadddbcaacbdaaddaacd
+bdacabbcadbbacccabda
+dbcadbdbcddcbbabbcbadcdaacabbcdaaddaaacaaacadacabdddcbabcdacdaaddbcaddbbcbacddaaaadacdcabdadd
+abcbbbabdbcdcddabbdbd
+adbdcccbcddccdbabdacccdbdddcaddcbdbabdbddcbbbdcaaabbaadbdcaabbcaaccdbdababbdabacddbb
+bbdcaccbcadaccbdaabac
+dabbcbdbbdbaabd
+adcacdaaddabcddddcccdcbbdbabdbddbcdbcacabaaddccbccddcccabacdbdabdabaadbcdabddbdaadccbddccaaccaa
+bdcddabcaaaabdcbaabaabdbdccbcdddbd
+baaaccbabbdaccbcdbccbcdcabcbddc
+cacacccccddadccaadaacd
+bdbadbddcaadabbbaadabcdcbdccadcddbadacbcaacadaccdabddabdcadcaaddacaccdabddbcbcaacacbcbdad
+adbacbcbcbdcccaabaadcddcbacbcbcdcbccdbbdabcbbbdcccadcababaadcdbdbadacbdbbbbbdbbbb
+cbaccbbbdbcbdabbaddbadaaadcdac
+bbbaaaabccadabdbbdccbbbacc
+ccadabdabbbcabbacbbccbabbdbabdadadbbadaccbbddbabaaacdbacabbbcdddbbacbaccdabaaccbbbbcdcdacbdcaddbaddbdaad
+cbbccbcdbacabbcdccbadddccbbccaadcaabddaddaacdbbdcdcc
+dddbbcdcdbdbabbd
+daadabacbcddbadbaccbcacbbcddbaadbaccddbdcbabacdbaacbccaacdacabcabbdbdddbdcadbadaadbdcdacaccdb
+adabcaabcdaacccbddbdabdbdddabcccaacc
+bacccdddcaddcdabbbbcdbcbbdbadcbdacbcacabaaaabddbdddadadccbbcacadcdbddbdbdd
+acdbbcaccdacbbacaabdbccddadbdadcaddabbbbccbddbabbdabadcadddcaacddcbddcdbdaabcaacaccbcbacdacbacbbaaddd
+acdbabbcbbdbacddbbdaacadcddababbbbd
+aacddccccdcdcbaddaadbdcadccdababbccbddabbcdbdcbbacbadddcdbbabacdbcddc
+ccdccbdaabbdadbbcadaacbddddaddbdacabdcadbaabadcdbacbadcbbbbaccdacbacbdddcccadbdacbbddaabdcc
+ccaadadacaacaaddcddccbdbdcbddbcdcdcdaaadddbdccbdacdcabdddaabadddcdbcadcdabbadbcadbbaaaadabcaaadcdabbbcbbacadc
+cbdabdbddccdddabccaacdccbbcbcaccbcbddbdcaccdaaaddcadbbadd
+dbbbcdbbadbaabbdcdbcdbdc
+adbcbdccbdcbddabbccadcdacbaabaadcccadbaccaddcccbadcbbadaaaaacacba
+daddbbddbcbcabacacbaddacddcddbdaddbdcacaab
+cbbdccdabdbdabdbabdabddabbbcaddbdacadadcddaabaaadaccdddccaacaaaddbcdaddcbbbdccbbca
+bddbdabbaacdcddbaabadcadddbbbdbbaaabaaacdcdbcbdaaacabbcaddbcbccaacbdccacbacddadabacbbadcadbacddbddcacaabdba
+ddccbbbbdcdbdbbcbaaccbdcbcbccbbbcbcbbcdbaccdabcaaaccaa
+dbdbbcadbcddcbbdaccbdaccccadcdddcbbccdbbacddbcbaaaaadabacdcbbbcaccdcddadacadcacabddbabdbdbcad
+baadcbdabacaaaaaacbccacdcbbcacaadbdbabdabcabababcabadccabddadabbdcabcddabcbacdbacacaadaccaadbbb
+daabcadadcbbcccabbccaaababcccbdcacdadcabddcbdcacdcdadcacaaccbaadcdcadaaaccbdabddaaadbdbdbaadbcbcdbccaa
+cadadcdbdababccadaaacdcbdacdbbcbbacdabdbdcaabbabcbcdaabcdabccc
+dbdbcdcbaccbbdddddcbbdadcdbbdcdaacbdbacbadbdcbaddbbadcdbbabddbcb
+cbddadbbaaabcbdacddcbbadabcacdcbccabacbcccaababbdcbdccbbbaaddbabbdccddbbadcccaaadcaca
+cdcdbcccaccababccdcdbaabcaccabccbadddaccbaabaabdbacbbbcacdcaadaacacaaabddbdcccaccdbacdcadbbb
+cbbcddbacacadddddadcdabdcbdbbddcd
+abbbcbbdddabbdcccdaaddddadaadcbacaabbcaabccddddacbcabdc
+accbacdccad
+dbdabbaacbddacddcbdbbacddbcbcbbcababbabbcdbbcbabcddbc
+ddacdbaacdbddddcbaabdaddaabbacccbdccacbdcd
+daadaacddbdb
+aaabcaaadaabdcddcabbdbbccabbcbbbdbdacabdcdbbbcabacbcccdacdddbc
+adcacbcdcabbbaadbaadcdbdcbbbacdbacdbcbcbadccdaabcadbcddbbdabddbddabcca
+cdcbaccabacbadbddbdcdcbbcbcddccdc
+adadaadddabbdddadddbccabcccbbddddbdbcbdddbcdccbddcbcbdbbbacabddddac
+cdbcbcbcabbdaadacbdbdbcbaab
+cccdcdbbaacabccbbbaabaabbdcbbabbbbabcadddacbbddacdabacbdccdaccabccddadbdabcacbdcadccbdbcbccbbcacddcdcacdcd
+accccbadddbdabbabbcbbcbb
+adddcccbbcdcbacddddcacdbbdbccbadcdcdbdbdacdaccddcddddbbad
+adabcbbbbdbdcaaabbdcadbacaacbcdccd
+ccdcbaaacacabdcaacada
+dbbbbaaccccbcdbbccbcadbbacbcdcbcdabdcccdbcddbdaccadbcaaacdaaadcdbaaacdabbd
+cbadcbccdbaccccddbdbbdadadcccd
+cccbcdabccbbadbddacddcaccbdbaadcbdcdbaabaabccc
+ccabacadcdcccbcacdbcdabaaabccdbbbadaddccbddcdbbcdacccdaacbbdddadcccdcddb
+ddcabadaacadcbaaacdccdbbacabccbcddddabdbbabddadcbd
+abaddbaabaacdcdacccadadbdcdddcadbb
+aaccaccdaccbdd
+ccbbabadbcddbddbabdccbdcbababcaacaddacbacdcdcdcadddccba
+abbbcaadcadaccbbdadaadddaaabadabccaaddbcadaacabcccbacdacbacaada
+acbdacdbcdacccacadacacacdddbbcaaadcdbbcbdcabbccdbcbccbabcdbabcddccdcdbbcdbabbbcbbadddbdbacbcbb
+daadbbaabbbcddabddbdadbbdbcdcddaddcbcdccaddcdabddbcdbdbcddacccbdbdaa
+cacdbdbdcaacddcbdcbabdbcbaabbcddbdacdbddabddbddacdcccccdcdacaaadcacaaddadcdcbaadacacdcdaabaab
+cdbbaddbdbbbbabbcbadbcabcccdbd
+bacabbaaacbdbcbabcccacdaacaacbbcadddbabcbcdaccddbccaccbdbbddbacd
+bdccbcaadb
+ccdabcaacccdcacdadddcbbcddacaacb
+bbbdbabcddcaabddcdcbbdddbbcabccacddbcbdbbaacdccccbbcaccbbdcccabdcdbccddaaddcadddaabaacbbb
+bcabbbbcadcadacdadbdcbbcdbcadbddbdabcbdbdbbcadbadabbddacacbcdcdcbacabbbccdddadcadabdccbaaabbacc
+acbbcaccbcbaadcddadcdbccbaaccaccbaabddaddbabcbabcbdaacbdbdcbbccccbddbdbdcadabcbcdbccb
+dddaaddcbcdabdcabcdcbdbabbababddcaaaabaabddbcabababdcdccdcbdadadbaadcccdcbdabbdbcbddddcbaddaa
+babaccdcccbdcadbbacbbbadccbcbbabacdbbbb
+cacabddcdcdbcddbcabccbcdddccadabaadcddcbabccdcccdbacbdabbdbdcaadbbbcabbaccbbabbabcaddacdbbbcddcbadbdddccc
+adababbbcdacdaaacdcabbcbabaadbac
+abaccddbacabbbaacaddcc
+bdbaacccbccbbdbcabcdbbaddbadbcbbdddaddbdcababcacddbc
+bdadadcbdcbaaadabdcdbbdaddcbccabdcdcbcdbbcddcdaadcacacadcbdbcacdacbdcbdbbcb
+bcabdadabdacbddaaddcacbdbdccdbacddadccaccbdcadddbcaaadbbdc
+cbcbabcabcaaccbaddcdcdd
+adabccdabaabdadbccdddadbda
+aabbbbdaacdbcdcadcadbdcccccadcbcbababbbbdac
+cccbbcbadabdbdbccdbadacbccbbbdddcabdcbcabbadacdddadbdccaacbbadddcdcbabbabcdccbdddbdbbdcbdbdbddcaacaacbadbbd
+bcacaaaabacdaaaadaadbbdaaddcbbcddddcaaabdadbaccdcbddcabcddacadbcaddaadaaaadb
+adbdabdbbabccaaddbddaddaadcbabdbdcddaddbdbadaadcaccbdc
+ababdddcbdcbdccdbb
+cabcaabbbdbdbdcbcbcacddcabbcacdaddcdbbcadaacddddddbdcaabaadadabdaddddbccccaddaadcacdcdbcbbbcb
+accbaacdddaccdadbadbaaabdcbabdcdcdbbabccbdada
+bbacabddcccddbdcbcddadadcaadbaaaba
+aadbcbcdccccadbada
+bbdbabccadcabccadbbdbdadcbadbbbacdabadabccabccaacbcccccdccbcbbdddcbbbaacbddddcbdacaabaadaaddddbabcdcdbb
+bcdaadccaddddadcbbcdacbdbac
+dbbabcdaddaadcdbbdcbadccaadcacbccdabdaadddaddccdbdabdabcdcbacaddcacaccabcabdabccdccdac
+acdbcbacadacdacbdabacdadbdadbbbabbdaadcadbaaaaabcdabcdcbdcbabdcbcbccdadadaddababcddbdbcccadacdcdcbacaccc
+dbdaddacabdcddaddcdbbcbadadddaaddbcacbdccbbddacbdccbdabdacdccaaaabadddbaacadcbadadcadbbcaaacddbbddbdb
+cdcacaacaccbdddcacacaaddaabaacdccbadbaccddaadbdacdcbdda
+aabccabcaacdaaacbc
+dcadacbaddbcbcbbcabdbbabcbbbddcddcdabd
+cabdaccdccdaacdb
+cacadbdbdcbcccccbbbabbabaadbcbdaaccadbcccda
+caccabadacccdabacddadcbccddb
+badbbcdaaacddbbbdacdcdadababdddccdbbcdcccbabacdaddbacabaaccbcaaadcabbaaacddaccccbb
+acdbdacaab
+dbccdcbdacbddbcbdaddbabcacadcdaddd
+ccddcddcdcaaccddabdcadbcbdcbbcaaccbdddbdcbdbbaaaadaccaadaabbddbcccacacbdbdcabccbdbccdabbbcaccddc
+dbcdbcbdbbdbccadddccdbcbaadcdabdbaa
+dbccaadcbdadcbddaadacbdaaddacccbaababdbacddadcbcccdcbabd
+adaaabdddabadbabaabadccabcabbdcbcaccccbbbacbcbccbcadddaacaabaddcdaaabdabbcbccacbaabbabddbcbdcadcbdbcbddbdabcd
+cdddadbabdcccabbbdaaaccdb
+bacbddbcaddcaacdcbbbcdbaadacabdbbccbdbbcabcabaacdbddcdbaaabadaccabbabd
+aacbdbbdcabcadccabaddcbdabadbbbdadcabcdabdadcaadadcbdbdbbdabaaabbbdcccdacccddabcccabcccccbcbbaababdbca
+bddcbdacabdacdaacbdbaddbdbdbbcbaabaccddcbbbadadcacdacabdcbcdacbbcddadaaddbbdacaabdccdcbaccdcacdbaddcbdbacd
+cddcaabbadbbccbdcacbabadadddaaaacdbccccbcb
+bdbbdacdcbcbaaadcccaddaaacacddcdddccacbabdbbddbabacbbacadccbbcdccdabcbbaccadbccbbdc
+aaccabcdadacbabadbabddabbad
+dddbadbccbcdcaccbadccacbcbaacddaababdbdacbcdcbcddad
+cbcbcaaaadcdbaaddbcbdcccacabacbacbadbdabadaacaaabcadddccdcaaaddbacaacddabcdaabbbac
+dcaaabcaddccdaaddcabbbdcaddcdadbdbcabadabcdbdbbbbdbacdbacddccdbdadbacdad
+bdcdbbbdbcaacbabaccabcadabbcbbcbcaadabdabdaacbaacdbbadaadbbccbcbadccacabbbbacbcbcdcddddacaa
+bbcadddaaabcbdcbabadacaccbdccdcaacbaacacddcdaccabdcaabdbbabbdcdbddcaabbaabdcbaababb
+cccbabdacadbbbcdbdcbdaacacadaaaababcacddadcddbbabadbdadbcadbdcaddcacccadacdbdbbdcacdabddbaaaacaabdaabab
+dcdcacadaadadbadbbddbbcdacbbddbcbcbddbbdddbbdbcbbbabbdcacbacbabbddabbaabacabddacbcaa
+dbcbdabcacaccabdbbbabdcbbdaccbabccdbdacdcccbababacacbabadcabddbaacbddcabccdcdaadcdbddacbdaccbacddbdccac
+bbbddcbbcbbbdbaddbcbcabdbcbccdbbbaccddbcabcbcabadbaadcbaadaacbcdaaccbdbbcadc
+17 10
+ccbacbbbaabcabbccbccbb
+cabaaabbacabaaccbabbbcacc
+cccbbbcccccbbbbabbcbcbcaacbacabcaacbacbbcccaabab
+bacaabcbcaaacbbbbacbccacccacabcbaaabacbcccaaabbacababbaaabaabcbbacbbbbbcbcbbbcbacbccbccabbac
+cbbcccbaabcccccabaacababbbccacaccbbccbccbcb
+bbabcacacbacbacbcbabbcaccabaacabaaacabaccabaccbaaabbbaabcbcbaccbabcbbaaaabacccaaaa
+acaacbbaaccabaabccaacaacccccbbbbbbca
+cacccccccbca
+baabbacacbbbababacbcabcbcacbcacbbccbccacaabbaaccabcaacabbaabcbbcabbacabaccabaacbbcabbbbbbacbbabbbbbbcbb
+aaaaccbccbccbacbaacbbccccbacbbbccbcccccbbbcbbbab
+bbaacccbcacbaabbcbbcabcaacababbaababccc
+aabcacbbbcacabba
+bccbabbccbacaaaa
+aabcbbaaabbcaacacccccbcbbaacbbbcbabcbaacabaa
+bababcbcbbcabcacbbbcaca
+ccccbacacbacaaacabccbcaabccabc
+bbaaacabaaaabcbbababcabbbabccabcabcaaacbccaccaabbcaccabacaabbaccacaac
+132 51
+ababbbccbabccabcaacccbaaacbccaacaacabbbaa
+ccbbacccbabbabccbababacccabbababcbbaaabcacbcacabbbabbbccbabcbccaababcbaaaabbacccbbbaabbccabbcbcbcacababbac
+cacccaaccabbbaaccbbcaababbaacbabccaabacbaaacbccaaaaacbcbaabbbbacbcbbaccbbbabacabcbcaababacaacccabbacbabccbb
+baaabbabccaccabaabbccaaaabbacaaccbcabaaba
+accccaaacbbaaaaaccaabbacccabbabacaccacbcaabcaaabaccbaccacbabbaabacb
+bbaacacbcacbbcccacabababbcabbbccabbabaccbabaabaaaabbcabcbabbabaababbababacbabaabbccaaccc
+acbaabbccabababccabcbbabbcbbccbbbbccacaabbcabbcbabccaccbcbbbbbbcbcccabbabcabcaacbcaaac
+bcccccbbcabaacccacbabbbabbcbabbcca
+bbabcbababbacbbbabbaccbcbbcabbaccbccbcbcacbbcbbaaacacaabcaccc
+aaccabaaababaccbbaaaacaaacbbbcabbbbbcaabcbbbcabbaaccca
+ccacccacbaaabcccabacbbabbbabcbcaccbcbabccbccccacbaacaabcbbccbacacababcacacbbaccccbbbbb
+cbbacacababba
+accababcaabbbcaacbbabbabcaba
+caccbbbacc
+ccbbaabacabbbbcbcbbbabaaccbaaacbbaccbcabcaaaabcbaaccbbaaab
+aacbcabbcacaabbbbbccccabaabcccaccacc
+cababaccccbaabacbbabcabaabbacbbcbbbbbabbccabcbcbbcbcbcaccbacbabbacacccbabababcaaaab
+acbbccbaaabbcbccbccb
+acccbbcbacaabbaabcbbac
+abbcbabacabbbcb
+cabcbbbcbbacbccbcbbabcaaaababcbbbbaccbbacbbbccacbcacbcbabccacbacbacabacabcbbbcbabbcccbabaabaca
+cacbbacbcccaacaabbccacccaaababaaaaaaaccaaabaabbacbbcacccbacbbbacbccccbbbcbbcaccbcaccabbaaaccbaa
+babcbcaaaacabccaacaabcabcbababbcbaaccbccbbaaacaacc
+baaccbacbacbacbcbccbacccaaacccbaccb
+acbaabaacabbbbabaccccccbcccbbcbcbcbabaaccccabcaccbacaacbbbcbcbbccbbbaccbbcbbabbacbabba
+ccabaaccaaacbaaaacbcbbccacaccbabaaaacbaaccbaaaacbbccbc
+aaaccbbccbcbbbccaccbcccbcbacaacabccabacbabcaacccaabcaabcaababcacbaabaabbbbbbbbcabacccbacaaaccbaabbaaabc
+abcbbcacababcacabacacbccbacbcabbaccccbabcbbacbbbcbbacbaacaacaccaaabbaaabbbbcbbabcaabccbcbbbccabaccc
+ccaaaccbccccbccacaaccbaacbcababacabccba
+accaaacaabb
+caccabcccacbbacabbbbccabcaccabcabbcbcacaacacaacacaaccbbaacccbbbbbbcbbacabcbccbcbbccabacbbbacbbbaaabbbbc
+bcbabcbbccbbbbabbcbbbccc
+ababbcaacbbbcabca
+bcccabbbbcbaabacbbacaacacccbaabbacbcbaabaacbaccbacbbcbcbabacccaaccacccaaaacaaaaabbc
+ccbaababcccaaaabacbbcbaabccbbacacaaacbbcbabcaaccccbcaabaacbabacabbbabcbbbacabbbbcbccbcabbbaba
+aacaaabbcacbbccbaccacabaccccccacbaabaab
+acccbaccaaccabbacaaaaaacaccaacaacacabcabcaaabcccccccbbbababbabcabbbbcbaaccbbcccacbccabbcbccacbbbccba
+bbcabcbaabbacacccacbbcbcbacacaabcaacacbaaacacaaababcbcbcbaaabaaaaccc
+cacacbccbaccbbacbbbaccbbbcabccabbcaabccabaacababbcacaaca
+cacbbbcbbcaccaacbbabaccbcccbb
+aacbcccbbbabaacacb
+ccaabcacbcaaccababaccacaaacacacbcaabaaabbacbbabcbcbcacbbaaacccbacccacacbba
+accaaacaacaaaccaccbccbbccaaccaababbcbbacbbabcbaaaabaaccbabbbbcbbcabcaabbcaabbcacbcbccaaabcaacaaccbcb
+bbbbcbccaaaccacbcbcbbbcbbaababaacbbcbcbbbccbbbcbacabacbababbcaaaabbbbbc
+abbaabaccabaacbcbaabbccabaabccacbab
+abccbbacabcacccabccbccbcccbabbcabcbbcacccaacbbc
+aaccccaaccbbbcbccababbcbcbbbcbabcaccacbcabbbccbcbccccbbbaaaabcabccaabbccbcbaabacc
+accabaccbbccbbcbbccabbacaacbcabccccccabbcacbc
+ccabcabcbaacabaacbbbbcabbcbcabbbacaaaaaccbbccccacaacacaacbbaabcbbacbacaacccaccaaacaabb
+bacbacbbabcacabbcaaaacbacaccca
+bcbabbcacaaacccacaaabcbbcabaaaacaababcaababacacccabcbbacbabbbcbabaabacccaabbcbabcabccbcabbacaac
+bcacbccbcbcccabab
+bbaccbcbaaaaabcbacacaccbbbbaccbcababacbaaacabbccccbaabcccaaacacabbbabcbccbbaacaaaaacbcbaabcbc
+bcaabbccaccbcacbb
+bcbcbccbbabccbacbcacaabacaabcabaccabbcacaacabcbba
+abcaacabcbacccbacccbcccbbbccbcabacaaacbccbbbcbbacccacbbaabbabbbabcaabacbabccccabbcaabcaabacbabbbbca
+abcabacabccbaccaaccbbbacc
+cbcabababccacaabbcabbacccbacababacaabcacaaaaaaacbbabbbcacbabcbbcabbaacbaa
+aaaaacbccabaaabcabaccbccacbabbcbaccbaaabcabaccbcbbbcbbbabcacbbaaabacbccabaaabb
+bacccacbaaccccbccbbcbbaacaaacaabcbabaabccbaabbcaaaaacbabbac
+babbbaaccaaabcaccbcabcbbaabcbcbaaa
+caabccbbbabbacbccaabaaaaaabacbcbbaaaaacbaccbbbbabbacbaacbbccabaacbaccbacabaababcababbabcacababbcba
+bacbccaabbaacbacccccababacccbacbbbbaccbaccbbaaabca
+bbabbaccbacaccbc
+ccbaabababaccccbaccccbcaabcaccaacccbbaccbbccaaacb
+caabbcbbabcbbacbaaabacaccaaccacbcacabacacbcbabbcaa
+abccbccbcbbabcbbbbbcabbccccbbaaaabcaabbbbbccbaaabaacabccaacbacccabcbbabbacaccabbbcabcbbbacabacbcabccbababa
+caccbbcbccccabcacccaacbcbcccaaabbacaabbaabaabbaacbbaccccacbbacccabccabcbacaccaacbbabbabccaccbcaabcccbcbcabba
+cacbababbababccbabbbcacbaccacccccbbbaabcacacacacbcabacbcbaacacbaaccac
+cabbabbcabbcccccccacbcbabbabacaccabbaabaaa
+aacaacbccbaabaaacabbbacabababbaaaaaccc
+aabbabcaacccabaaabaaabcaccbcabbbabbabbcbbcabbbabb
+bcbbbabacbacabbbbabcacaaccccbaaaababbbbacaacbabacbcccbbabcacabccbaabaababcabbbbcacababbbacc
+abccabacaabbbccca
+babaaacabacabcaaccaabaccbbbabbcbaca
+babbcabbbcaaccabacabbbbabcccbaaacbacccbaacabccabbccccccacacabbcacbccaccbbbcbcabacabcbacaacbbabbabbacabaabaccc
+baccbbbcccacabcbcbccaaaaccaabacabacccbbbaabccccccaaccacbcbbacbaccbbacbbccbaacccbbccc
+acbaabcabbbacbbabb
+acabcaacabbacccbcccbababababbbcaabbabcbbbcbab
+aacbacbbaccacbabcccccccbbccbabcbcbbbcacbaaaccbbbcbbcbabcccacaccbaccbabccaaccbcab
+ccccabcaccaabacabcbabaacbcccacbbaccccacabccbbbcacbcbcbbcbccbabbccccacacacccababcccbaabbbaaaa
+ccbbbbaaabbccababbbbcbccbabbcabaaccaaaabbcaccaaccbbcaacbaaccccbaccccbca
+abccbacccbccaabccbcbcbcaabaabacacaaccaabcbbababcabacbcbbabcaacbaccabacaccabaa
+aacabbcbcacbaabccbbcbcbcababbaccabbccaababaccbcbbacabacbbacaaacbaabaaabbbcbb
+baacabccaaaabccbacccaccbcaaacabcbcccaacc
+bbccaccbcccaacabaaaaccc
+bbcacbbacaaaaccbaabbbccacbaacaaabccc
+bbababbacbbabaacbacabcabaccbaabcbacaababaaacccbaabbcaaaabcabbbabccbbaaacbb
+ccbccbaabccabaacbbcaaccaccbabacbca
+babaccbbacaabbbcbaaacabcbaabaacbbcab
+bbaaabcbaccbccaccabcaabccabccbbbcaaccabaab
+bbcabbabababcbbcccccbabbccaacbcabcbacbabbcbccbbccc
+bbcacbababcabbcbaacaabccacbbbbbcacbbccbac
+baabbabaababcaccabbcacccaababccbbabbaaaabbcbbbb
+bbaccbcabbbbcbccabcaaaaaccbacbbcbaacbabaabaaaacaabaaacacbabcbabbabccbbbbbab
+bbabbcacbbcaabbaaccabcbbbbabcabbabbbbbbbabcabcaabbcbccaacbbcccbabcbbabaabccaabbcacccbcabccccb
+cbcabcabaacabbbbacbcbaaaabbbbcabbbacacbbbcbaccbabaaabc
+cababbcbbccbaabbabcccabcbbbccbaccabcacbccccacbaabcbabcbbbaabbcbabcbabababbcbcaabacbab
+abbcacccabcaaba
+cabbacabbacccccbcabbaaaababacbbcaaccaaacbaaaaabcbacba
+acbabbacbbcacbccbcbbbabcaacbbbcaacbbaaaacbaabccaaa
+bcbacaabbcacabccbbacaabccbccbbbabacbccccacbcbabaccbaaabacbacaaccacbabcacbabbaccabbccbbcbbcb
+abcaaabaccccccbcbaacabbccbccbbccbbcbb
+bacaaccbaabbcaccbcacaacabacacbbbbcacbcbaacbcaaccbaababbaabcbcacac
+bbcacaaaccccbcacbaacaaabbbbacaacbcabcc
+cbaccbcaabbccbacbbbccbbbbcaacaaabcbccbcbcbaccbbcaaacabbcabbbbcabbaaaaabcbcaabaacbaacbccc
+bccacacccaacaacaba
+abcaacbcacccbbacbaaacccb
+caabcbbcaaaabbababacabaacaaaaaaaabac
+ccbcacbbbbbbcaabbbbcabcccccababaaacaacccabbcbbacb
+cccbbababcbcbacabcbbcbcbccaacaccbbacbbabacacbcbcabbcabcabcbccccbacbcccbbbaaaccaaca
+cbabaaaccabbbabaacaccaabbacaacababbbbcaaaababcbba
+ccacacacbbcacaabaabbaaabbccbbbbbcaccabcbabaaaacbbbbabcabcbbabbcabababaaacabcbcbaacbb
+abccabccbabcaccbbbaa
+aacbacaababbbbacaacccbaacaacaccacbcabcbbabbbbaccaabacacacaabcaacbcaabacbabaaacbacacbaabaaabbacaba
+bccbaacbbaabcacbbaca
+caacabbaccccaccbaaabcaacbcbbccbbabbaacabcabaaabbabcabcbbbabbabcbcbcbabbaaacacaabcc
+acaccbbcbbacaabccbaabaabbaaaa
+acbcabbcaacabbbcabcabcbbbcacccbabccacbcbccc
+bbcbbccbcbcbaabcabaccbacacacbbbbcbcabacbacabcabbcbbcbabbcbabacbccbababccbbacaacaccababccacbabbacacaca
+cbcacacababababacbcbcbccb
+abcbabaccbbbbcababbabaacaaaaaabbbacac
+bccacabcbbcaabcbaacabbbcccbbcaaabcabbbcccabaccaaacaabbbcaaccbcaaccbbbcccccacaabcbabaacccbccbcbcbc
+cbcbbbcabbcccca
+bcbbacbbabcabbbbcccbaababaabcccaccabaacbacbbcacbcabcaabcbacbbbc
+bbacabaaaababbabbc
+acaaaabcabaca
+acbccacbacccbaabcbaccbaccbcbccabcaaaacbccccccbaaacabbbccccbccbbabaabaaccaabaacacc
+baabacbbcaacaccaabcccccccbaacbaaabababaacacccbcbbbbbcaaacbaaccbaa
+abaaabbaaccccbacaccbacbbbcbbccaacbba
+babaaccbbaaaabbbbcababcaabcaccbaacbaaabbcccbbb
+cbaccbaabbbabbbacabcabbbaacabcccaabaacccbabbcaacabaabcaabbcb
+150 16
+abbbabbbbabbbababbabbbaababaaababaaabaaabbbbaabaababbabbbbabaaaabbaaabbabbbaabababbaabaabbabbbabaaaba
+aabbbabaabbaabbbabbbbabbabbabbaaabbaaababaababaab
+bbbbabaababbbbbbabbbbabbaabbbabbaabaaabbaaaaababbaabbaabbaabbaaaaababbababbaababbabababbaabaababbabbbabbaaaab
+bbbaaabaababbbbbaabbaabbaaababbbaabbbbabbabaaabbaabba
+aaabbaaababbaaaabbabbbbbbaabbabbaababbababbbbababbbaabbbabbabbaabbbbbbaaaabbbbaabbbaaaaaaaaaabbaaabbab
+aababbbbaabbabbbabaaaaabababbbaaabbabbbbbaabbbbabaaabbbbbbabbbabbaabbbbbaaaaab
+aaaaabbbabaaabbbbbbbaabaabb
+bbbabaabaaabaaaaab
+ababbbaaaaaaabaabaabbbaaaaabaabaaabaabbbbbbbaaaaababaabbbaabbbbbbbabbbbaabaaababaaabbbaaaababbbabababaab
+babbaaaaabababbbaaababbbababbabaab
+ababababbbabbbbbbaaaaaaababaaaababbaaaaabaab
+abaabbabbbbbbbbabbaabbbbababbbaaaaabbaabbbaaabbaabaababaaaabbaabbabbabaaabaaababababa
+abbbaaaaabbabaaa
+aabbaaabbbabbabbbabaababaaabbaaaaabaabbbbabaababbbaabbaababbabbbabbabbbbbaaaabaaaaaaabaabababb
+bbaabbbabaaaabbbabbabbabababbabaaabbaaaabbabbbbbabaa
+aaaabbaabbbbaaaaaaabbbabbbabab
+aabbbbbabbabbaabbabaaabbababababbaabbaabaaaaababaababbba
+bbbbbababaaabbbbbabaaaaaaababbaabbbbbbabbbbabaaababbabaaba
+bbaabbabbaabbbbabbabaabaabbaaaa
+bbaaaabbbbbbaababbbaaaaaabbababbabbbba
+bbbabbbbaabbbbbbbaaababbaaabbbbbbbaabbabababaaaaaabaabaabbbaabbabaaabbabaabb
+baaababbbabbabbbbaaabababababbabbaaaabbaaa
+abbbbbabbaababbbaaabbbbbabaaaaabaaababbbb
+bbbbbabaaabbabbbabababaabaabbababa
+bbabbabaabaababbbabbaaabbbbbbbaabaabbbbbbbaabaaa
+abbbaaaabbaabbbbbaabaaaaaaaaaaabbbabbaabaaabaabbabbaabbbaaaaabaabaaaabbbbbabaaabbabbaaabaaaaaaabbaabbaab
+abbbbaabaabbaaabaabbaabaaaabbaaababbaabbbbbabaabbbbabbbaaabaaabbaabbababbaabb
+abbbabbbabaabbbabaabaaaaab
+bbbbbbbabbaabbababbabbabaabbabaaabababaaaabbaabaabaabbbbbabbaabbaaaabbaaaaaaabbbbbabab
+aabaabaaaabbbaaabaaabaabbababaaaaaabaaabaaabababaaaabababbabbbbabaaaaababababbbaaaabaabab
+babbabbbabbaaaabbaabbbabbabaaabbbbababaabbbaaaababaabbaaabbbbbbbaaaabbbabbaaaababbbaaaaabaaaaaabab
+baaaaabbbaabbabbabbaaab
+aaaaaababbababaaababbbbbaabbabaabbbbbbaaaa
+bababbbbbabbbaaaabbbbababbaabbaaaabbbbabaaaababbbaabbbbaaaabbb
+bbabbbbaabaaaabaabababaaaba
+ababbaaaabbbbbaaabbaaabbbbbabbababbaaabababbaabbababaaaaabbbbaaaabbbaaabbbababaabaaaaabbbaaaa
+baabbabaaabaabaabbbaababbaabbbababaaababaaaabbaabbbababbbbbbababaababaaabbaaaab
+aabbbababababbbba
+bababbbaaaabbbaabaaaabbbbbbaaaababaabaaabbababaabababaabaab
+bbbaababbaabaabaaabbbbabbbbaabaaabaaababaaba
+ababaabbaaaaaabababbaaabaaaabbabbbabbabbaaaaabaaaaabb
+aabbbaababaabaabaabbabaaaabbbabbaabaabbbaaaaaabaaabab
+ababbbaabababbaaaaabbbbabbabaaaaa
+abbbbaaabbabbbbaaabbbaaabbbbaababbabaabb
+bbaabbbabbbababbbabbabaaaaaabababbbabababbbbbabaababaaaaaaabbbaabbabbabaaaaaabbbbababbaabbbbaabbba
+baabbaaabbababbaaaaabaaaabbbbbbbbaabbabbabbaaaababbaabababaaaaabbaaabbbaabbaabbbbaaaaaaaabbababbaabbaaaba
+bbbbabbaba
+aabbbabbaaaaa
+abbabaaababbbaabbbabaaaaabbbaababbbbababbaaaababbaaababaabbbabbbbbbabbbbbabbbbabbababaa
+babaabbaaaaaabaabaaaabbbbabbbaaaabaabbabaabbbbbbabbbabbaabbbbbabbaabb
+baaaaabaabaaabababbabbaaaabbabaabbabbbabaaaabaaababaabbbbaaaaaababbb
+bbaababaaabbaa
+aabbabbbbaaaababbaaabaaabbabbabbbabba
+aababaabbbbbbbbaabababaabbababbaabaabbabbaaabbbbbbabbabbabbaababaaabbbaabaabbbbaaabbaabbaabbaababbb
+abbabaaabbababbbbaaaaaabaabaaaaabaaaabaabbababbbabbababbaaabbaaabaaaaaaaaabbbbaabba
+ababaababbbabaabbaaabbbaaaaabaabaabaaa
+bbaabababbbaabbabbbbbbbbababbababaababaaabbabababbaaabb
+baaabbbababaaaaabbbbbbbbbaaaabbbbbbbbaaaaabbbaabaaabbbaaabbbbababbabaabbabbaaaabbbaaaba
+aabbabbabbbaabbbbbaabbabbbbabaabbbabbbabbabba
+bbbbabbbaabbabaababaaaababababbbabaaabaabababaaababaaaababaaaaaababababbabbbba
+abaababbabaaaaababbabaaaaaabbbaaabbbabbabaaaabbbaaabbabaaaaabbbbabb
+baababaaabaabbabaabaabbabaaaababaaabbaaabbbbaaabbbababbbbabbbbaabbabbaabbababbbbbbabbbbbbababbaaabbbaaab
+aaaaabbabbaaaaaaaaaababbaab
+babbabbbbbababbaaaaaabbbabbbaabababbabaabbbabbbbbaaaabbabaaabaaabbbbbbababbabbabababbbbabbaaabaab
+aaabaabbbbbbbabaaaaaaababbbaabababb
+baabaaaaaababa
+abbbabbaaabbbaabbbabababbbaaaabbaabaabaaaaaaaabaabaabbababbaaabbaaaababbbbaaaaabbaaabbaababab
+bbbbbaaabbbaabbabbbbbbbababaaababbaaaabba
+babbbabbaaabbabbabbaaaabababaaaaaabbbaabbbabbaaaaaabaabbbbbbaabaabbbbbbaabbabba
+baaaaaaabaaaaaabaaabaabbbbbabbbaabbbbbbaaabaabbbbaababbbbaab
+aaaaabaaabbbaabababbbbaaaabaabaaababaababbaaabbbbaabbbabaabbababa
+abaaabababaaaaaaaabaabbababbaaaaaabbaabaaaabaaabbbbabaa
+abbaaabaabaaaabbabbabaaaabbabaabbbabaabaabbaaabbaaababbbabaabbabbbaabababbabbbbabaaabaaababbabab
+abaaaababbaaabbaabbabaababbbabababaaabbaabbababbbbbbabababbbaaaaaaaababbbbaaaabbaabaababbbababbababbbbbaab
+baabaababbabaabaababbbaaabbabbbabaabaabbbaabaabbbbaaabbbbbbaababaabbbabaabbaaaaaaabbaabbbb
+aabbaabababbabbabbbbbbaabbbabbbabbaabaabaabbabbaabababbaaababbaabbbbbbbabbaaaabaaabbaaaabbaabbbaabbaaab
+bbbabababababaaabaaababbabaaaabb
+bbababbaabbbbabaaabbbabbbbaaabaabbbbabaaabbaaaaaabaabbabaabbaabbabaababaabababbabababbbaabaaaababbbbabbab
+baabbbaabaabbaa
+ababbabbabaabbabaababaabbabbbabbbbbbababaabbabbbabbba
+bbabaababaa
+abaaabbaabaabbabbaaababbbbbbbbaaabbabbabbabbaaaaaabbbaaaabaabbaabbabbaabbaaabbabbbbbbbabaaabbba
+bbaaaaaaaabbabaabbbababababbabbabaaabbbbbbabbbabababbbabbbaabaabbba
+abbaaaabbaaaaabbbbbabbabbbbabbbbbbaaaabababbaaabaabaaaaababaaaababbaaaabbabaababbbbbaaaaaaaababaabaabb
+bababaaaaababbabbbabbaabababababbaaaabaaaaabbabaababbbabbababbaaaabaaaaaaaaaabaa
+babbabbababbababaababa
+bababaaabababbbbbbaaabab
+abbabbbabbbaaabaababbbbbbbbbbbabaababbaaaaabbbabaababbbbaaabbbabbbabaaabaaabaabaaabaabababbbbbbaaaa
+abbaaabaabaabbababababababbabaaabbbaaaabbabaabababbaabaaabbbaaa
+babbbbbabbbaab
+aaaabaabaaaabbaaaaaababaaababbaabbaabababbbbbabaaabbbaabab
+aabbabbbbabbbaba
+bbbaabbaabaaabbaaabbbabaabbabaaaabababbbaababbaabbaabbaaabbbbabbabbbbbbaaabaaaabaabab
+aabbabababaaaaababaabbbabaabaabaaabbbaaaabbaababbbbaabbbabbabbbbaaaaabaabbbbabaaaabbabbbbaaaabaaa
+aabaabaabbbbabbbabababbbaaabbabaabbabababbbaabaabaabbbaaaa
+aaaaabababbaaaabbbaabbbbbaaa
+baabaaaaabababbabbbbababbbab
+abbaaaabbbbbbbbbbabaabbbabaaabaababaaaabaaaaaab
+bbababaaaaaabbaabbaabaababababaababbbbabaaabbbabaaaaaabaaaaabaa
+aaabbbabbbaababbbbaaabaaaaaaaabaaaababaaaabaababbbabbbaaabbababbbbbbaaabbbabbaabbaababbbbbbaabbabba
+babbababbaabbababaaabaaaabbbbbaaabbbbabbbaabbbaaababbbaabababb
+abababbbabba
+aabbbbabbabaabbbbababbabaabbbbbbaaaaabbbaabbabba
+bbabaabbbaabbaabbbbbbbbbbbababaabaaaaaabbaaaabbaabbaabbbbaabbabaababbbaabbbabbabbbbaabaaaaabaabaaaababbbbab
+bbaabaaaaabbbbaabababaabbbbbabaabbaaaaabbabaaabaab
+bbabbabababbbbbbabbbbbabbbbaaabbabbaabababbaaaababaabaababbbabababbbbaaabbbbaaaaab
+aaabbaabababbaaaaaaaaaabaabaabbbaaaaabbbaabababbabbabaabbbabbabaaaaababab
+abbaabbbaaababbabaabbabaabaaabbabbaabbaabbaab
+bbaabaabbabbbbbbaababa
+aabbbbbbbaabbaaabbaaabbbabaabbbabaaabababaaabaabbbbaaaabaabbaababbaaaabbbab
+aaabbababbbbaabaabbaaabbbabbbaaaaabaabbaababbbbababbbaabaabababbaababaabbb
+aabbbbbabbabaabbaabaabbbbbaaaabbbaabbbbbaababbaaaaaaaabbbaaabbaaaabbabaabbbaabbaaaaaaaaabb
+bbbababaabbaabbbbbabbbabbbbabaaaaaaabbaaaabbababbbbbbbaaaaabbabababbaaaabaabaababbababaabbbabbbaabbaababaa
+aabbbabaabaabbabbbbabbaabbaabaabababbabbaabaabaababbaaa
+baabbaaababbaabbaaabbaabaabbbaaaaaaababbbabbaaaaabaaabbabbaabaa
+ababaabaababbabbbaabaaabbaaaabbaabaabbbbbbababbab
+bbaabaaaabbabaaabbbbaaa
+aaaabbbbbaaaaabbabaaaabbbbaaaaaaabababbbbbaababaabbbaabaaabbababbabbaabbaaabbaabbaaaaabbbabababbbbabb
+bbbbbabbbaababaaaaaabbbababbabaabaaaabb
+aabaaaaababbababbababaa
+baaabbbaabaaabbb
+abbbaaaaabbbbbaaababbbbaababaabbaabaaaaabbbaaaabbbabbaabbabaabbaabaaaabbbaabbababbbbabaabbabbabaaaaabbaaa
+bbaaabbbbabbbbbaaaababaabaaabaabbbaaabaababbbaaabbabbaabababbbbababbbabbaabaaabbbbaabbaa
+abaababaabbbbabbaaabbaabababbabbaababbabbaaabbaabbbaabbaabbababbbababbbababbaababaaabbabaaababaaabbbbaaba
+bbbaabbbaababbbbaabbbabbaaaabaabbbbabbaabaababbbbbbbaabaaababbaaabbbbbabababbabbbaaaabbbbbaababababbbbba
+aabbbbbbabaaaabaababbbbbbbaabbbabbabbaabaaabbabaaaaabaaabaaabbabbbaababababbbbbbbaababbaabbaaabbbabb
+baababbbababbabbbbbbaaaaaa
+bbbaababbabaabababbabbbbaaabbbbbababaabaaabbbaabbabbabbbb
+abbabbbababbabbbabb
+aabbababbbaababbaababbabaabbbaaabaa
+abbbbbaaaaaababaaabaabbbabbbabbabaaaabbbabbbbaa
+aaababaabbaaabba
+aabababaaaababaaabbbbbaaaaaaabaaabbaabbbabbabbbabbbbaaababbbbbbabbaabbaaaabbaabbabbabbb
+bbbabbbaabbbbabbbabbaaaababaaabaabbabbbbaaaababbabaaaabbaaaaabbbababbbbaaababaabbbba
+abaabbbabbaabaaababbaabaabbbbbaababbbbbbaaabaabab
+baaabbaabbabababbaabbaaabaaabbaabaaabbbaabbbba
+aaabaabbbabbaabaaabbbbaaaaaaaabaabaabababbb
+aabaababaaaabbbbabaabbbaabaaabbbbabbaaabbbaababbbabbabbaaabaaaaabbbaabaabaaabbbbababb
+babbbbbabababbaabbabbaabbbabaabbbbaababaabbbaaababaabaabbaaabaabababbaabbabaabbababaaabaaabbbbbaab
+aaaabbbbaaaabaaaaabbaaabababaabbbbbababbbabbababaabaaabaababaabababaaabbaaabbaaaabbabaaaa
+aabaaabbbabbbaaabaaaabbbaabbbbbaaaabaababaabbbabaabaaabbbbabbbaaaabaabaaabbaabbabba
+ababaaaaabaabaaabbbbbbabbabaaabbbbaaaabbbbaaaabaababbbabababbaaaaabaabbaabbbabaabaaabababbababaababaaabbabbab
+abaaabbabbaaabaaabbaabababaaabbabbbaabaaaaababbbba
+aabbbaaaaaaababaabaaabaabbbbabbbba
+abbaabbbababbbababbbbbaaabbabbbbbbbaaa
+abbbabbbaaaaabbbaabaaaaaabbbbaabbabbabaaabbaaabaabbbbbaaaaaabaaabbbaaaaaaaa
+aabbbabaabbaaaaabbababbbaaababbbaabbbaaabbaabbaaaa
+babbbaaaaabbaaaaaabbbaaaabaabaababbbbbaaaaaaababbaabbabaabaabbabaaaababbbaabbabbabaa
+aaaaaabbbaabaaabbbabbbaababa
+abbabaababaabbaaabbabaabababbbbaaabbbbababbaabaaaaabbbaabaabababbabbaabbbaabbabaaababbabaabbbabaaabbabbaabba
+84 72
+aabbaacaabaabaacabbbbbbacccca
+acbcabbbaaabbbbcbccababacabcbbcccbbcabaaaaacabcbbaacbaabbabaca
+caccbacabbbcaccccbabbcacbbabbbbcaaaabbcbbbacacaacababcbbaaacabcacbbcbaccbcbaaacaacaaaaccbcbbbccbbcaaac
+ccacccacabcacbaccbabaabbaccacacbbaaaacabababcbccbbccbaaaacccacbcabcbaaccaaaaacacccbcb
+ccacbabbabaacaaabbbcacabaaababbbbabbacaacccbbaa
+aabbcaacbcbcaccbbccbaccccbcaaaaaaaaa
+aacbbaacaaacababacaccabaacccabcbbaababcabbaccacaaaacacbcacab
+cbaaabcababcaccbcbaaccbaacccaaabcccbbabcccbababaaacacacaaabbccc
+ababbabaaaabbccbbacaccbccccabcaccabbcabccbbcccacaabaacabbcbbbaabccbcbabbacbbcabac
+cabbabacaccbcacbbacabcbcccccaa
+ccbaaccacbb
+ccaaaacbaabcccabbbabbcbabcabacb
+bccccaaaaabcbbbccbaacabcccbcbcbacabcbaababacbacbcbccccacbbababcbbbbacacbbccbbbaaacccabbbcacccabaacab
+cbcbccbccbccbacbccaacaaaabccbbaaacbbcbccaaaacacbbbaacaacbcccccbbcccbbbbababcbbaacabcbbcbacacccccbbbcacabcabaa
+bcababbbabbbbbaccacabbbaacbcc
+bacabacaacabcbcabcbcabcabacbccbcccbcaaaabccacbabcbccbcaaaabacbacbabccaaccbacccbababcaacbabca
+bcccbaacbccbabbbcabbbacbbbbcbacbcbcaaabccbacbccbacaaabccaccccabcbbbbacbcacb
+bcaabababcaababcbcbbbaababaaabcaaaacacbababaabaacabccbccabccccbaabbacbbcccababbaaaabbbbabcbbcbabaaabcbaca
+bbacaaaaabcacccabcacabcbabaabaabbbbcaaacabcaaabbacb
+bacbaacabbcaabaccbcccbabbbaaacbaabcbaabcccbabbbbbbccacbb
+aaaabcccabcccbaabbacbcbbaababaacbabccbcbbbbbbcacaababaabbacbcbbbabcbaaabcaabbbcabbac
+aaaacaabcbacccaccbabacabccbabbabcbbcccaabbcbcccaacacabaaacacbbacbc
+cbcbccaaaacbcbaacbaacabbacacabbbbcbacaccbacacaccbbcbab
+cacaacacacabcbbaabbbaabaaaacccbcaccaabcacbac
+babaccbcbcabccbbaaccacacbaccccbcabcc
+bcaabcbabcccabaaaccbbacbbabaccaacbbbbccbcabcbbcaaabcccbaabacbcbcacaccacaacaaacaaccbb
+bccbcccaccabbcabbbaacabccabbcab
+bbbbcbbccccbbaacccabbbcaaaaabbbaaabccbaccabccaccbbabbaaabaabbccccaccacaab
+abcaccbabccaccbcbcbbacccbaaccaaaaccbbacaacaaabbbcccabbbccaabcbaaccaabcbcbbccbccbabccbaabaaaccbbcbcacab
+aaabccacbcaabcbbcacaaacccbcbcbcaacbcc
+baaabbcaaccabbabc
+cbbabaacbbccbbaacbaccbcbaacacbbcbcbbcbabbbcbaabbbaac
+abaaacbabaababccbabcbbcaabbcbcabbbababcccaaa
+cbacbccacbcbaabaababbbcccbbcacaaacbbbbccbaacbbcaababacbcabaaccbccbbcbbabaabbccbaccbabb
+bbccaabcaabbbbbcacbcbcccaaaabacbabbcbcbcccccabcbccbbababbababba
+aabcaabaacaabbcbaaccccacabccbbcabc
+cbbcbcacabacaaabccaccaacacabababbbbccbcbbcbbbcabccbbaaaaccbbaabacacaabbcbcacbacaacbbcbccbccacababcbcbac
+aababaacbaabaaabccbbcbbbbaabbbaabcbccaabcbabbccbbaaaaabcccbacccccbbcabcbbacabacbbcaaccbaabccabbbbaaa
+cbcababbccaacaaabcaacbcbccbcabcbaaaababcaccababcabbbacbbacb
+bcaababcbaccabbbbccaacbbbbbbcbaccbccacbaccaaaaccbbbcbbbbacbabbaaaabaccbaabbabbabbabbcbbcccbcbbcccbaacbc
+aabccbaccbabaacbbcacbbbbbbbccccaacbbaabbabccbaabaabbababbacacacabccbc
+babbacbacacbacbbcbccccababacbbccc
+acabaccaccbbcc
+bcacbabaabcbcaccccbbccbabbaabbbbcbaaccb
+acaabaacabacccaccaacacbaaacabbaaacbababbccbaabbcacbccacabbccabbcbcbbacb
+accbcccbacbabbbbacccaacaacbbbacccbcbcacbcbccababbabccabcaaaaabcaabacbcbacbacaccabaaaaaabaabcbcbcaaabaacb
+cabbcbbbbabaccacaabcabcbacabacaabacbaaabcacaaaccabbbccbccbccbaaaacacbaccabaaa
+abcbacbabaaabacbbacccccaabbbccbacbacabbcacaabbabaaaabbbabababbacbaabbabacbccacaabccabcaccabbcbbbbbcba
+caabbcccbbcbcabaabcaccabccbcbabaccaaabcaabcacabccccbacccbaccbbbabcbbabbbbbca
+aabbababaccbaccaccbaacbbcaaaacbcacabacaabcaaaaacbcccaaccbbccbabba
+aaaabbaccabccacaccbabcbbcbcbababcacbaabcacbc
+babcabaabacbbabbacbcaaabaacababccbcbcbbaacccbbaccabaaacaacbcababccbabccaabbc
+babbbacabaa
+bcbbccbaaaccaccbcbabacabaccbbccbcabcabbbbabcbcbcabbccccbac
+cbbcaccaaabcabaccacacaabcbacac
+ccbaccaccaacababcaccccc
+aabababbaccaacbbbaabbacbcaabbbacacaccbaabcccbccbccabccccbabccba
+baaaabccbcabaccbbbbbbccabbaaccbbbaaa
+bcccabbcabbbbbbbcbccabbccbbbbaaaccabaaaaaccbcbaaaacbacbaaacbacbcbcaabcbbaaabbcbbaaabbabccccccbccacbbbacca
+abaaabcbaaacaacbcccaaccbabbcabaaccbbbbbcbbcbbbaccccccbabccbacabcbbacbbcabbcccbabbcc
+cbcbaacbaccccabaacbbbbbcbcaacccbccaaccbaaacabcbacacbccbb
+cacbbcabaccbbcacaaaacabbabababcaabccbccacbcacbbabaabb
+acccbacaaaaabbbcaaacca
+bbcacaccbbaccbaacacaacbcbcbbab
+bcacbaccbcabcacacbccbabccbccbaabbaabccacbaaccccbcaaccbacaaabbcccbacaa
+bccacabcababaaccacc
+ccacccbaccabaacccbcacbabccaabaccabbacabcbccabccbbccaabcabbacabaaabbbbcbbbccaabcacbbbccabbaacbccacacaaacba
+aaccbbcbbaabcacbccaaacaccacaacacbccabbcabcbbbbacbabcbccacbbcbbbcacccacacbacbbacbbcbbcac
+ababccbbababcbaccababbabbbccaccabccbaacbcaabcabacbbacbccacacbbababbccaacbbababbaabcacacaaabbcac
+aabbbcbcbaacaabcccababacbabaccacbcbabbabccacacbaabcabcbabccbaccacbccaccbbbbbaacccabcaababccbccccababbbccb
+bcbbcbabaababcaacaccbcccbbcacbbcbabaccbcbacacaaaacabccaaaaacbaccacbcccccbbcaaacbbbcaaabababca
+cbcaabbacbcbbcccabababccabcaccabbbccbbccacb
+ccbacaabcbcbbacacaaacabcaacccac
+aaabbbbccabbbbbbcaacbacbbbbccaaaacacacccaccccccbbcccacbaccbabbbbcbaacbcbbcaccbcccaa
+cacaaccaaababccbabbcbbbbababaabbacbacacaacacaaabaacbccabababbcaaab
+accbcaabccacaabbbbcbcbbcbbbbbcbacbbabaababcabacabcbbabcabccbac
+bcaabccaabcbaacbcabccccbcaabba
+cacbaaacccabaabcacaaaabacbcbbbbcbabacbcccaabbaacabbcacabbaabcbbaaaacbbbacbccccabcbacbbbbaabacbabbbcaabbbcccc
+abbaaabcbcabbbabcbbbbabbbbaabacbbaacbbcccacbaabbaabcbcbbcaaabccccbaa
+bcabaabaccacbcabcaaaaabbacbbcbbabccbacbcaaacbaaccc
+baaabbccaccaaccbccccccbcbababbacbbacbbccccacbbb
+aabccccbbaaaac
+cbcabbcbbababbbbaabcaacbbbababbaababccbbccabababcaabbcaacbbbcaaccb
+cacbbabacbcbacabacacbaaccccaacbbacabacaaccaabcabacbcaaabcab
+197 97
+aaacaaacacbbabbabccaababbaabacbacabaabcacacbacabaaaabcabcbbcccccccbabbbaacbcaabcbbaaaacaccaabbbacccbbcb
+ccbbacacabccacbaabccbaacb
+abbabcbabaaccccbcaccca
+bcaabcccaacacbbbbacbabacbaaaabacacbacaccbabccccbbcbccbaca
+cbbbccabacbbbbaabcaaacbcabbcccabacbaabbcaccaababacbcacbaabbacbccbbbc
+ccbabccaacccccbabcaccaacbbcbaacbaaabaaabcccababcccabb
+bbcaaaccaaccbbabacbacaacbcbccabcbacbccbaababaccaacacccabacaccabcacbaccabacacccaaccccaacbcbaaabcbbcaaccabaaaaa
+abccbbccaccbabbcaaacbcc
+caaccbbccbccababccaccbabbcbbbaacbaacbccbcbcaacbcabcaacccbabcc
+cabbcaaaaccbbcbbccaabbacabaccaaababcbcbcccabbcbbcbbbcccbacacaaabaaaccac
+bcbbabaabaacbcaacbababcbaabaaccbbbbcbccbacacacaaabcaabcccabacbbbbabcaaaccbbacbccbccbcbcbbbaaccbabaa
+bcabcbccccbcababbbbcbacabbbaacccaababbacabaaaacaccbcabaaccc
+aabbcccbcaaccacbcccbbaabacabaaaabacbaacbccaabcbccacaccabbbccbabcbbbccabccbbccbcbaaaacbcbbccccacaccb
+acacbabaccaacaabccbacaacbccbabcbaacaccccca
+cabcabcabaaaaaaaacaaccabcbab
+abccbabcacbacabbccccaacabaabbbccabbacbccaaacaaaaaacaaabbaacabbaaccbcbbac
+cbcbaabacaccbaaaacaccacabbbc
+cccacaaaaaabcccbccabcaaabcacbbcccbccb
+bbbcbccbcbc
+cabaababcccaaccbcabbccbcbabccaabcaaaccbbb
+acbaccaacacbbccccbabcabcbabbabaaaabaabbbbbccabccaccabbbcbcabbaaaaacabbcbababca
+abcacacbbacccacaacabbbbbabaca
+cacbbaabacabcabcbabbcaabcabbcbbccaccbbbcabbbccbacabcccababaaabbbcc
+bccacaabbcccaacccccbacbacababccccababbaabcabcacccbcbaaacbbbcccccaaccbcbb
+bbaacababaabcccaabccbbbababbbcbacbcabb
+cbabaaaaaccaabbcacbcccbbabaacaababaccbbbabbabcbbacbabccbcbccacbacccbcbcabcbccabcaacabcaacbcbcababac
+abaaababbaabbbbaacbbcabcbaabcccabccbcbbabbabacccbacbcacbabbaacca
+cbbabbcbcacbaacaabccaaabcbbccbaabbcbcaab
+cacbccaabccccbabacbaacbbabcbbccaabaabbaacaaacbacbbbbbccbabcabaaccbacacbccbcbbbccacabbabbcc
+ccbccbcabacccbaabccaaacbbbcccabbacbbacbcbbccbcbabcabaccbbbababaaabcabbcccc
+bacccbbbbaccbac
+acbaccbbcabcbbacabbcabbcbbbacacbabcbbcbcabbaaaabbcbacbcabaccacacabcccbacccabacc
+bcccaacacbacaabbabbbbaaabaccacccacbcbbcbabcabcccaccaabaabccaaaaacbccbbbbabbbcaccaaabbacbc
+cbbabbbccbbcccbaaaccaccbbaccbccabbaabcbb
+acacbcbaacababcbbaacaaaaabaacbcaacbccaababacaabccaabcabaaacbccbbccbbc
+bcbbbbabbaaabbbaabacbbaccbbbbbbbbcabacaaabbbcbbbbccbaabcabacbbccbcbaccabbbaaaaacaabcbbc
+aacbbcabccbbccacaaccbaacbcccccacbbcbbcacacbacbcbacbabbaaac
+cbaaabbababaaacaabbccbaabccbccccaabcacbcb
+ccabbacbcbbaacacabbbaccccbccbbacaabbbcbbaa
+cacbccababcaaaacbbaabb
+aabbbcbbabcacbbacbaaaaacacaababbaaaabaaabccbaacbbaccabbcbbbaacaaaaccbaaacabcbcbbaca
+bbccaaccaacbccbccabaacbbbbabcaaabccacbbabbbbbacbababcbaabcbccabaababcbabaabbbaabacbbcaab
+bbabcabbaabcabacabacbbaaaabbcaaabbacacbbb
+abccbaacacbcbcacbacaaabcccbaaacbaacbcbbbbbbcabcabcabcbcbcbaaacbccacb
+caabcaaaacbbabaabaabbbacbbcccabacbbaaababababcbccbbccbcabcbbaaacbb
+bbbacbbcaabcabcacabbccabcaabcbbccabbacccbcbcbcbcaaaabbacccbcaccccccbabccccccacaaa
+acbcbcbabaacbaaccbccccabccabbaaabbbbbcbbabcbbabbabaaaccbbbaaacaabbcacabbcccbbbbcbcacb
+bcaabcccbbccbcacacbabcbcabaaaacacabbaaaaccbcbbcbabbacaccbbbabcabcacccacbbcccbcacacbababcc
+bbcaccaccbbcccbbbcbbccaabcccccacaaaaababcbbbccbcabcbcabbaabcaabaaaccbcbaababbcbac
+bcbacbcbcccccabaaacbbccabaaaaccbba
+ccccccaaccccabccbcbc
+bababbccacaaaaacabc
+babcabcccccbbbcbcccbaaacacbaaccbcccbbbbbbabcccbccabbbacbcabc
+accbbcbabcacacbcbccbbbbaacbababacabaccacccccacacacbaabbaabbbcabbabcccabcbbacabacacabbcabbccaccacaccccab
+cbbccaaacbbbbccabbbaccabbccccbcacabcbbbababcccbbbabababaaabcabcbccbcbaaacbbacb
+aaacbbbcccaacbbcbbabccacbaabaaaccacbacbaccbaaacaabbabcaccabacacc
+bbaacabccacacbbaccccaaabaaaccbbabaacaaabcbbaaacbacccaaccaabbbaabbcaaaabccabacbcbcbbacbabccbaaccbaca
+bcbaacbcbbbbabaccbaaacaa
+baabbbcaccabcbcbbbcbcbaabcaccbcbabccbabbcababcccccbcaccaccacabbccbcaabbbacccccaacbbbaabc
+acbcaaaacbcbccbbcacabcbbbaccbcaabccabaababbaabbcaaacccaacacbaa
+cbccaaaccbccbbbbcbbacbabbbababacbccabbabbacbacbaaacbb
+bbbaccbabacaacaabcbbacbcbbbacaaccbbcabcbcbaacbccbaabaaaacacbccaccacbabaaccacaaabbcabcbabaabcabccacbab
+bcbbcbbacabbabaaccabccbbbb
+bcbbacccbabbcbabcbccacccaabbbcba
+bcabacbabccaccbabcccbaabcbcbabbaaaabcaacb
+abccccccccabbac
+abcacabccbcbbbacabaabbcbbbccabcbaabccacccacabacc
+cbbbaacbbacbcbbabcaccccbababcbbaccabcabaacaabcaabbbabbbcacbccccccccbccacababbbbbcaccabaabc
+acbcbaaababaabbabccbcbaaacaccacccbabaaccbcbbbacaaab
+acababcacabccbacaccabcacaaccbcbccbcbbacabbcccccacbcbcbaabccba
+baabbaaaacabcabcbbbacaacabacbabcaabbaaacbaaaccac
+acbccaabccbcccabbaabcbbbca
+bbabbbbabcaacccacbabbbbabaaaaabcbbaabcc
+cbcccbccbbbccbbbbcabaaacbcacbbbcabbbaccabbc
+caccabaacabbbbcacacbabcccbbcaccabababbbcbcbaaccbababcabacabbbbabcbaabaccbabbabcbcababcacbbccbcaccbb
+bccabbaccabbbba
+bbbcbabcccccbacbcbbabbcaabc
+babacaabaccccacacbbcbccbbacaccacccccbaccaccccb
+bacbccccaacbabcacaabacbaa
+bcabbbbcbba
+bbbacabcabbbcacbaacbcbaccacbcabbcabaccbcbcccbabbcbbbaaabacababb
+caacabacbacbcaccbbcacbbabbbbbbbbbcccccacbbababaaccacbbaccacbbcbbbbabacbbbcaccccbbcbcccbabbcaac
+aaacbcccbcccaaccaaabccbbabaaababccccc
+ccababbcbbbcbccaacabcaacaabbacbbbbababba
+acaaccbbaabcbabaaccbcaabcbbbccccaabcbcacaacacaacbbbabaabcaccbacaaabbabacaacaabacb
+aaaccaccacacccacbbbbaacbbaaaacbacccccaaacacaccabccaa
+bcbcccbaaababbccbbbcbcabacbbbaaba
+abbbabbbbbaabcaccbbacabcccccbcacbbcbbaacabbcbacbbccbcbcaaaaccbbcaaabaaccbaabbcaabcbcacbaabcccbbacaacacc
+cacacacccababccbcaaabcabbaa
+abcccbcaabaccaacaabbaaaabcacabcbcbbcabccacacc
+acabccbbbcaaacbacccaabacababbaaacccbbbabcbccbaaabcbbccbcaaabbabaaaabaaaacbacabcbbccababacccbaaabbbacbabbbbcba
+cabababaccc
+bcbaacbcacacaabaccaacabccacaaccbacbaccaaaacaccbbcabaabbcbbbc
+aabcbcabbbabccabcabcaaabbbcbcacbbcbaaaabbbbbb
+aabaccbbbabcacaacacbbbcbbcabcbbcbbcbb
+aaacbbacbbbcccabc
+baabbabbcbbbabbabbacbbccaccaabbaabbcbcaabacbcbbac
+bbcabbabababbabaabcaaabbbcbacaacbbccaacacbabaccccacbaabccbcbcbbccbacccccacbcbbbbccccabaacbbabacccabbb
+cbccaaabbaccaaccaabacccaacaacacaccaabcbccbbacbbacacccbcbb
+bcbabcbaaabaabbcbabccabbcbcccccacacccbabacbcacaccbbaabababab
+baabacbcbabcccbcaaabacccbacacccbabcacbabacbabaccbcbbbbacbaabaccccbcbcbca
+ccccbaaccacccbbbcb
+bcaaccaabbbcabbabbbbaabccccabccbcacccccacba
+cbbcbbcacccbabaacacbbcaaaabcaccabbacaacccaccabccaacaccccbacac
+aaccccacaaacbaacbaabcbabcabbacbcbbaccbbbabbaaababbccbbcaacc
+ccbccaccbacaabbabcacaabcccaabcbaacccaacab
+aabbabababaababcb
+aabcaccbbaabbabccbaccaababacbaacbcbbcbbbaabbbbabccbaabcaaccbcacbbaba
+aacbaacbbababcaabaabbccaaababcbababaccbabaabccacacbcbbcca
+cccbacbbbaccaaabcccccbbcbcbbcbcbabbbcbbcaa
+acbaaabacccabcbbcaaaabcccbacccbbaaabaccabbcbabbcccabbbaccaccccbb
+abaaabcbaacbbcacaababcccbbcbcabccabbbcbaabcaccbabbbcabaabbbcaacbbcbacaaa
+aacbcbbcabaabaaaacabcabbbabbab
+cabcbabcacbbabaaabcaccaabacacaacccbacacbacccaacaacabacaaabbcaaacbbbb
+cabbabbcbaabbcbabacbacbbacabcbbbacccababbaaaaaaacbcabcccaccaabbbcccacaacbcbcabbbccbcaacabbcbaccbbbbccccacc
+aaacabbaabababacaccacbbabbbacbcaabaabbcbbaacabbcabccaacbcacccbccabcbacbbacbbcababcbbacaacaaa
+abbbbcabaabcbcccbbacbaaaaacacacacacbaccbaccbacacaaaccccacaabcbacaacbaacacccbabbccaaaaaaaabcbcaa
+cacaabbacabbacacbacccbbbccbccbcabccacbbbaaccccbcabbbcbabacbacbaacbacabaacccccacbaab
+ccccbcbbaabcbcabbbcbccccbcbcacbaabc
+abaaabcaaccababcbcccbcbccbacbacbacbcabaabacacccbabbc
+accbaaccccabbabbbcbbbcabcabccbcaababcabbcbaaaccbbccbbacccccaacb
+cabbcbccaabacbbbbacbabbcacbcbaaabbbabbcccaaabaabcbbacccbbccbacbcabbcaaaaabbcabba
+cababacacbcaacabccaccbaacabaaaaaaccaaba
+baacaaabaacacabcbcbbbac
+accbbcbccccbaccabbbabacaabbcbcbacccccabbcccbcbbccbaababaaacaabcbbacbccaaaaabbcabaccbbb
+abaccccabccacbaabaaababcaaaaccbcacaccbbcaaccbccbaaa
+bacccbccbbcbbbabbcbaabcbccbbb
+cbcacbcbbacbb
+babccabacabbcbbbaabbaabbabaccbbaabbbbbacbccccbab
+bbbbcbcacababccbcbaaaabbbcaccbcbabcbaaa
+abcaabaacaabcccaaacc
+bbbababcbcbbbbcaaaccbcaa
+aaaccccabbaccbcabaccbbbbacbaaccabaaaccaaaaaabbbbccccbacbcbbcabbccaabccbaccbbacbcabacababacbbbccacbabbcbbb
+abbacacabbaacccccbbbaacbacb
+bbcbbcbcbbaacbacabcac
+babcaaacbabccabbbbbccaccbccbbabbbbbbabcabccaabccbacbcbccbaacbbbacccaaaacabbbbccaa
+aacccabbacbaccbabaaacaabbcabaaabbcabacccabaaacccacbbbbabcccacccbbabacabacbbbccccabcbbbbcbcbcbbbaabb
+bbcabbccbbbbabccbbbaccccbbacbbaaabaccbbacbbbaccbbacc
+babbabbbaa
+cbccabbccaaaaaabbcbbbababbbbcbacaccaaaacacabbccccbaabccccacbcbccbcaacbbbbbb
+acbbaacabaaababcbbaccaabbabaaaababccacab
+aaacaccacacbbbbccbcbcbaacbabba
+baacacbaaaccababcaabbcacabaabababcabcbaaacaccccbacccabcacabcccbbbbccaaacbabbac
+acbaaaaaccaacbcababacbaacbaccc
+abaccccbcacacbcbcaacbccabababcbccaaccbabcbacacbcaaaaccaaaa
+bcabaaaccaccbaabcba
+babccababaacbcbabcabbca
+cbccbbbbcbcaababaaacbcbbcccbabcccaaccccabacbbcccbcabcbaacc
+cbccaacaaabbbaccaaaaacbabaccabcbaacccabbabbbbabbcabaabcabbbcaaaccaabaaaccaccccbccaabbccccbaacbac
+abcccbcaabbbaaacabbaabcbbbbaaccacbcacbcbaabccbbaaaabaaccaaacbaaaacacbabcacbbaaccbacbbacaaaabcbacabbcacbcbab
+cacabcbcbcaacbbcbcbbbacacccababcccaaabaacbbbccbbbacabcbaaaabaacbcaccacacababcbcbbabbcc
+abacbaaaaccabccbbcabaccbbabcbcbccbbccabbcabacacbcbaabaabaacacbccbcababcabcaababc
+bbaaabbcbacbbabbbbaaaabaabbabbbcbcbbbccabaacbcbccbccbcbcccaccacbacabbcabcabcacccacbcabaacacbbaab
+acacbbaccabbbbcabcacabababbbaabcacccbbccbaaccaaabaaabcccabbaacaacaaccbbbcbbaaac
+aaaacaaaaaccacbabcbaabbcabb
+babbbcaccbaacabbabcbcbbcabbabbabcbbccccaabababbbaaabbccaccacccaacacaabcbcbccbbbabcbccacbba
+baccababcbaccaccabbcacabcbcbbccbacbabccaccbaababccccccbabacccaacbaabccbacccbaccbacacabcaacaaaabbcababb
+aaaaaabccacbccbccaca
+cbcbbccbccbccccaccacacbacabccbaba
+cbbaaabbbccacaacbcbaacbabbaabcbacbccbaacaaabaabbbaabaaaabc
+ccccaabaabcaabbabbacbaaaacbcbcca
+acccabacabcbacaabbbbacbbbcabbbabacbbbaaaabaaccca
+bccbccbaaacbccabccaababcbcbbbacabbaabcacbaabbccacccbaaabaabcaaccaabaccccaaca
+bcbbcbcbbbbabbbcabbbcbabcccbaacabbcbbacbaabbbcccbbaccccbcabbaaaaaca
+cacccbaabbacaaccbbaccabaacccbaacccabaccacabaaaacccccc
+ccbbcbaabbbcacbbcbbaacabcbaccbcbccbacaaacbaaaabbcababcccabaccabbbabbabacaabcbcc
+ababbaaababcacbbbcccaacbbccabcbcacaabcacccacbacabaabbcbbabcaccaaaabcac
+aabccbacacccbcbabbcbaabccbbacaabbabbacccbbccacbacbccbccbababbcccbbbbbbabaabcaacaccbb
+acbbaabacbccbababbababaaabaacbccacabcabbabccccacccccbab
+ccbbabbcccaccbaacbbcababbacababbcbacbbbcbaccabcbbabcacbbaaaabcbacabcbabcccbaccaccaacacbba
+baaccbcabcbbabbbcccbbcbcbbcabbbbbcbcbbbaabbbcbababcacbbbaabccbcbaccbabbcbbbcacacbaacbccbbcbcabcabbbbbabbbacbb
+bbbacbbacbabcaaacccacaccbcacaaabbbbabcbacbcaaabbcacbabcabbbccaccaabc
+ababbbcccbccccbbbabcaaacaacbacccbcacabcacacbabacbccaaccbaccccaabbcaaaa
+cabbabcabacaaacabbccaabacbabbaabbbaabccabcabbbcababaacacbaaacbbcacbaabcbc
+bbbcbbbaacbbacccbabbaaaaaccbabcabcccccabcbbbcc
+cacbcbacbbbcbcacabbacbbc
+ccbbaacbbccabcbccbabbbababbbbabbbcbcccaccbabcaaacabcbacccba
+accabbccbaacbabbabbabaaccacabbaccabacaabbcaababacbacabbabcbcbaabbbaabcabababcccacccacbaccbaccbaaaacacbb
+baaaccbcbabaacabbbccacacaaacbacbbaaabaaaabbccbbccbbcbccbbbccabcabcbacacabaabccbcccccbcacbaacbbbbacacccabbbc
+accabbcabbcbabbbbacbabcbcccabccacbabccabacabcabbabbaccaabccbabc
+cbccacaaababcccaacccccbcccccccbabaacbcabacbcccbbbacabbccccbaccabcababcabcbbcaaccacbcbacc
+bcacabaabaaababcc
+baccbbbbbccacccccaaccccacaccca
+abcbbbbbbcbac
+ccbbacccbccbbabacacbacbbabcbaacabcbbbbbbccbbbcccabbaccabbaccbbabbabbc
+bbcaaaaabaccacaccaaacbbcccbbaabccbbbbbcbaccbbbcbcbabccabbbcccbbccbcbcbbcbcccaa
+bccababbaaaaccbccbccccccbbaabcccbaabbacacbaacbbbccccaacbacaacbabcaacbbbaacabaccabcacabbacabbccacaaabbbacc
+bbcaacaaaaaccbccaaaccccbbabbcaccabccbbbbbcbbcacabbcaaabccbcbb
+cbabaacaabbbacbcbccaaaccaabacacacbaacababccbcbaabaccaaaabaaaccbcaaabbbbaacaaaaacbbbbbacbcacaccaac
+cacbacaacbbbbccbbaaccabccaaca
+aaccabaaabcbbbaccababaccacccbcbacaacbbcacbacbbcaaaababcbcabbcaacbabbbba
+cbcbcbcbbbabbaaabbaabbbcaaacaaacaccbcacbaacaacccaacbbbabbabcaabbabbccbcacabbb
+babccbaacbaccaccccbaabaccb
+babacabbabbccbabacbcccacbcbbcbbccaababbccbaacbacccbacacbccbacabbccbcbcbaaccaacbcbaccababcacaaaaabcacbaabaca
+bacbacacacbacbaacbcccaaabbbcaabccbabcacccacbabcaaaababcaacabbcacbbccccaabacbcaaacbbbbaaaccc
+caaacbaccbabccabcbbcaab
+bccabacccccabbaabccbcccabccabbccbbabbaccbccccaa
+285 198
+cbcdbdddcbcccccbdbadaabcbddcccaabccdbcdcdbdaaacbadaddcccdcddbdbcbdabbc
+caccacaccddcacbcacdcdabbcbbbcaccddaacddbababbaacddbbcdcccbcdbadaaabccddbacbbbcccbdbcaacaddcbdcddaaa
+cddcdcddaadadabbda
+cddaacadcbdcddacadcabac
+cbdddbcacdbaacbdbbbbddcdaaccdaadbcdcacdbcabbcacbbcaabdadbbdcbdaadaabcbcbbcbcbadcaccdbcadbcadcdaba
+bbadabaaadbcddabab
+babbcdbcbbcdbacdcdcacabcbcadadacadbbbccdadcadbbaadddbbacbbcbcabbaaacaabbbcdcdbbbdaabbadb
+aadbaabaaadcdbbbdcadab
+bdccaacddccbbbadcdbcdcdcbcdabbdccacdabddaaababbccdcccacbaddbbcaacbdbaaccaabbabaaa
+cbabcddaacbabaabbadb
+cacababcacdcdaccddbcacaadabbacccdbadcdccbdbacbbaabdbadbdbcbbdaccdcdcbacd
+baadbddbdcbdbddbbcabbddbbbbdcbbabacbcdd
+aadddcccbdccbbbdd
+cbaadcbadcdacbbbcacdcacdccbdccbbaaabaa
+ccdacccdbcbbdbbccdabaacaacacddaadbacaacbcdcbbaaadcaacdcccdabccdaccc
+accbadcacbbcaabccbbbabdabcaadcadaccbcababbabbc
+cdbacdbcbbccdcdccaacbddadbbacaddbdbadbdbbcadadcbaddaccddddadbddbadbccaabcddaaccdbbdabccb
+ddddbdcdacdbbbbbcabc
+cadbdbbcbbbbabccbbbaddaccbdcddaab
+cacdcbabcdcbabbcddcaacccbdbdbddcb
+addbabadbccbdddcbbcadaacddbabbaddcdadbaddddccaaccadbcbccdc
+dbbcadaacdddddbbababaccdbabdcbbabdadadaab
+cabcaddcbbddccccbdbadddddbbbbccaadbbdabbacbdabcadbbddaddbcbdddacbccaabbbcaabccccdcccbaacbbcbabddc
+badadadccaabbbadabbdabdcababcacbdaacdaabccdbadddacdccaabcbddaaccdabdcabdacc
+abdbacdccacbdadaaaaccacacabacbcddbdddadadacccaacbdabbbdcbdcccbddcdaccbdbdbccdcabbccacdaabacdcccbcdbdccd
+cdacacaccbacbdabbaabbdabbbcaddbdabbdacbbabdddadaddd
+bdcbbcdcbcbccbbddcbdabbabcbabaabdacaaaaabddaaacabbbcdabcdbabbbcca
+cbbbcadcbdddbacccdbdccdbccacbcadabababcacdcbccbabcbdcbbdadbbba
+cbdddddbcbdcabbdbaaadbd
+cddcccadabcacadaabdadddddd
+dcaaddaaadabcbaddccdcdbbdbcaccadddbdcbcaababaddaccbdcaccdbdccbddbbdbddccd
+abdabcbcccbcaa
+abcdccbabdcdcaaddcccbcbacddaddacbadcddacdcacbbbddacbbbbdccddb
+bdacbdbacbdcadcaccdcdcadcbdbadabdbdccbdbcdcdacdd
+abcbccdabbdadbbdacccb
+dbccccccbdbdbabdbdacadaccabadccccacbcdbbbcbbddccadacbcccda
+aabaccaaadcccaaaaaabcbdbbbcbca
+acadbdcaddbdcaaaaccbddccbcdcaddbbbddcbcabdadabcbcabdbcad
+ddaaddbdcadaacaddabb
+abaddbbddabcbbbaacbdbadbbccdcaddbd
+bbaddbbaddcbbbaaacbdcddd
+bdabbcdbcadaccdbcdab
+ccbdbcdcaabdcccabaa
+daadddaacdbaaacabbadacacadddccdcacaacacabacddaacbbddaaabaadbdadddabacbcdcacaddbacbcccbccdbcbdccbddabda
+abbbcccbbabbadcdddbbaaccbaaabcaa
+adcdcaadcaddabbacaacbcccddcadacdbbadbaabcaa
+bdbcdadcacadccaccdbdaddbbbacbddcdddcadabcbadbcccdaaddddbddaccccadcbadbdadcccaddcbdbc
+bbdcaaaaaacccdcbcbcdacbaacabccccdcdbbdadcacdccdddccdabddacdbbbcabdd
+ccdccadbbdacacdbbbadcbbcbddbadabb
+daabbcaacadabdaccdadbdbaaccaacaadddacdadccbbbaccadbbbbdabbbbdbabddddacbcbdbdbbdccbbcaaadcaddbadbcbccbcddcd
+abdcddbbadcbdddaabdab
+bcbaddbbbcdaaabddddaadaccabbbbaddbabdccadcacdbcbccbbcdbdccc
+ddccdacdacdacacacbbdadcdccdcadaccbdacbac
+dbcaccabacadcbbcccd
+abbbcbbbdaadaadcbbddcadbbdacacdadcbaddbc
+caabdcccbdccdbcbddaddccbdabbcbdbbbaacbddcaacdbcbabbdbdacdacbdaabdacbdbdcacbdcddacbbaacacca
+abcadbbabddbacadccaaddccaccbaaabccabadcbcbabababacaccababacbdddaaabdb
+baddabaccbdadbdccdcccccbdbcadccabdddbdadccabababaacacccbccccddbcbcbabcbd
+bdcabaadbcbdbaccbaddabaaacbccaccbdcdbacabadbbddcbaaaaaadabddbdddbbbddadabcddaabaacbaa
+bdcabbbcccaaacbbcbcadbcdcddcbabddbbadabcdb
+ccacdbddccbabbdcbdbaaabbacbbcadacd
+bcacdadcccbbacbdcbdcbadbababdddabcdaaccabdbccdbdaabbdabcadcabdbadcdcadddadbbbdabcbbdaaccbdaabacbadaddaacab
+cbabbcdcabacbbdddaaccadbcbaadbbbacdbdaccacbbbccbbbbbbcdbdcdadacadcbdabbabbbbcdbaccdcdcd
+bcddbddcadabdcacdd
+accabcdadcaccddabcdbcdddccbbbbaccaabbbbcdd
+dccbaacdcbcbddcacadbadaddbbacddccbdc
+bdbcadbdabdaaacdcbbdacacdba
+dbbdcabbabcdbbabbaddadacbcdcbabbccabdabddccddbc
+ccadcaabbaddbdddbcabacacaaadaaabdcadcbaaaccabcddbadcbabcbccadcddbdbbaddba
+bbcdbbcbaaa
+cadbbadccabcabccbbababc
+ccaaacbabbadcaaccdcdbccadbbacbbbbacddcdadddacabacaabaaddddbda
+bdbcaadbaaddddaaccccdabddbabacabbbbdddbbaddabbddddddbcbbdbdbcccacabdbdadadddddb
+ccbdadaadbcdbdcdbbdcbccadacdadabaddbdcacdcbbbdccdacaacacbacdbbcbdbca
+cdcdcabcaadcbbadbaddddbabcaadbaba
+adbbcdcdcdbbdcbacdadcbdcdaddcaccacdbcadccacdddbabbbaadcbd
+cbbdccdcccddddaadcbdaddbadacdbcabadacdbccbbbbbdbadaadcaabcccbbadcabbcbabdbcba
+bcadddccddbcabcdcaa
+acddacabccccbbbcbcbdcabbabdb
+dcdbbdbddddccbcabbcdbacdbcbdbcbbacdddbadcbadbddaccaabdbacc
+acdcddbadacddbdcccbbddbcdda
+cbccddcadabaadaaaadadcbddcaaadbabcbd
+aaccbbdccbbdbddcbbdcabdbcbdddababcbbdcdbbccbbaaccccabcbdddcaacabccaccbdadcbbccadbadadbccbcbbcbddbd
+dbadbabddccddadccbbaacaadaddbaadabbbcdbabcabbcccbbdaabdcdaddacaabacbbcddbaacccada
+bcadbcdcbdabdbacdbacbcbdbccabbadaccaddbddadddaccdcbdbdbbdbbccbdabcbadcacb
+ccdbbbcbad
+abbacdbdacdaacdababcaacddbbadbcbddcbdccddbaccadbccddbdcadbdcbbbdbdbbaccaadcbdbbabddcaddaddbcccacacd
+ccbdaddaaabdadbdddcdbddcdcaddbbcddbaabdcdaddacadcbaaadbcbdacbaadabdab
+addcabbcadbcbbdddbabaccddccabcdcacadbdabdbccbbaddddcaabcbbddbdcccbaaccdcbbadbdbdaadddcadaabbccacbabdbbaadcb
+dbcdddadcabaccacddacbcbcbdbcaddccbcdaddbbdabbaaddccabbcbbaacbacccabbbababaacdba
+ddcbbaadadaabdbcbbdabdbcdacaacdabbacccbabcbabbcbcad
+cacdaabbcbddccbdaddabadbcbcbdbdddaacbdada
+adacaabaacadacadaccdbbcbcbacaadacbabaadaaaaaddcdac
+ddbbaaddddabcacaacbcdbadbcadaddbcda
+bccabbdcbbcccbbcacabddbbcddabcddbd
+ddcabacbbacbacccbaaacbabcdbabcbdcacbadbdcbabcabdaddabcadd
+caddaacaadadbbacbdcdaddbcddcdbbdacacabccdcadadaddcbbdaadcaadd
+aaabccaabadbdbcbb
+adadbbccbcadaaacacddcabaabccadda
+abbdccbbbcbadadaabdbbaaadccbbaadabbaccdbdaaadcccacdccbddddbacaacdcc
+ddbbbbbccdbdabbddddadabcbdacabadabddcddacccabbccbaaccabaacbcdddcaadcbacbadcdababbcccacbccbbdccaadcdccbcbab
+cabcdcabbcbdadaacbdbbbccaaddbccbbbdbbacddbdaaaaccbdbcaabbcdbbacdbccbccadbccbbabbcdba
+adcadcbabcabbccccdddabccddabccabaacdadbadbbdaccdbaccabdadddc
+adccdbbcabbdbbdcbacbddbbaadaabaabaaabb
+adcaccdacbaccabddcbcacbdcbbddbcbdcdbddadbbdbaddbcddcdaacdaa
+caaacdaacbcaabdc
+adcaacccdacdadbbddcbbdbdbabaccdbbccdacbaacadaacbaacbbbbbcb
+acdbbcbbcbba
+aadcdacccacccbbbdcbccdaaadacbdccbcaddbdadabdbbacabaacbc
+ccdbdbcbcbababdcccdacbadaccdcabcdbaaddaaacdadccbdcbaddcbdcdddcdbcabbaacacadcdbbbacadbdbcbcdcddbbcccbabca
+adbbacaaacbcc
+aadbacaadbdccdcdabbbccaaddca
+adaabdbcabcdacdbdbccccaacdcdddcbcdcaadbaccddbbbcbcaccc
+cdccdbbaaadaddcbaccbddabdcbaaadddcdcbdadaddcbccbbaddbadcbdaddbdabbcddbbcddcabddcbdbcadbcd
+ddccbdabdaacbdaabbabdcbbdccdcaddaa
+cdacdacdadacaabddaabaaddbacdacabcacddcc
+cdccadacbccccaddcaabccaadbbcaddccacddddccaadcccaaaacdcbdcdddabbcbcbacababdbdbcdacdacb
+ddadbabbcdcdaaacdccacdcaacaaaadcadcabaa
+bcbbbadddcdcdabbbaabcbbcaaababcbcacabacaabbaddadcccddbbcbabdabaacacabbddcbcbdcdccadcbcdcdddbbbababdbbcabcc
+cbddbaccadcadacdbbbadabadaacacbbdccaacabdcaaabbcbbccbaacaaaab
+ddcbabacdbbbcdadacacacaadaaabdadbbdcdddbdaccdadabbcddbcbccabaabaaabcbddadabbcdcccbdccbcdcbdcaac
+abaaabdabacbaadbabcbadaadacddbccadbabcdadacaaaddbbbdddabcbdabdbdacbddccad
+cddcadbcdabcbddaddcdcbc
+badaddcdcbcdb
+acabdbddcbcbacddbdbaadddbacbbcbdadccddccacdcdbcdabbadccabcccabcccbcdabdacccaaccbaccbcaadbdcbcbcb
+ababcbabbdcbbdbcbbaadabcdccbcdcbaadacdbbabddcbcccddbbbddabccabaacdccabaadbccdc
+adcdbcdbbbccdbbcdaaadddcdccbbcdcadddcdcdadbdbaacdbabcdbdadbccadaadcddcaacdbbcdcbbcabbdacaaddcdcdbaadc
+cacbcdccdbbdaccbbdbbbdacaadaabdcabadabdbcacacaaccc
+ccaadcdddcdbccdbabacabbabddaccdaccdbcaddadbdadadabdcbcdccdadbdbdbbdabcbbaddadbcbcaaddcacdba
+ccbcccaccbcccbbadbacadabcabbbaaa
+cbabbabcdcdabadcccdadccabbbddaaacbdbaabccabaccdaddbbdbbcdc
+abbcaaccdabacdcacabcabacdbaabbdbacabbdddcadcadcdabaacccccbaaadccbdacbbddadbbdbcaaabdadddaacbbabdadbdbccd
+dbcabddcdbdacddaccdddbababababddacaddbbbacdabbcbcbdbcacdcbcacddbdacbaabdacbdcbdcaccacccababb
+acbbcaacdabbbcddbdbbbadabcccccaacbbdadcdabdbbcaccbcabbadabcacadacacccaabbdbabaacccbbcd
+bcbabcdcbcdacbdbdadcbcacbcbbcaadccbdcda
+abbaaadcacaabbaaaaaabbbbdadcddcacabdccabcbddcccbbadb
+dcbdacabbcddddcdadabaccbabbcbddbddccacbcaacbaaaadadcaadadabbabdbcdbcbcdbaddcbcdc
+cabdccbbddbad
+dcababcdcdacccacdcacbbbdcccacdddddbdadddabdcbccbbcacbdbbbdc
+cadcadbbdbcbabacddcacdcbbacdcbadbbdbdbbcbcbddbcbbcddcbddbabcabacbcbaacaaddaadadccacbbaddcadbdcabacb
+dabbdbadbdcddbdad
+ddddadaddbbaaabccaabbabbdcc
+acccbbabdbccdbdaacd
+bcdbdadbdbcabdbabbdbabdbbaabcdcbcadacbacbacadcadabadaccaccac
+adadacaacccdcccbcdcbbdaadabbbdbbcadbadccaaadcdbddbbbcbccbcddc
+bddadbcbadbadadbadcddcdcbccbbdbccbcddcabbdabdbacbabaddbdcbbcccababaacacadccbaadcbdadccdad
+bacbadcddbb
+aacbcdccddcbcbbcacbdacccdabdabccdccbbcbbcbddcacbbacccaabdcd
+acabbbbdbddddbdaadbdbbdccccdddcadadbbccdbcbdddbdbcbbddbccddababbabccabcdbabccbdaaabdacddabcdcbcadbaacdaac
+bbdbcbaddbdcadbbac
+cadbbdbacbabbdcabbddbbdbcacccbabaacadcacdbbbbacbbaadbcaabcdddababbcbbabbbdcccccccbabcdcadbcdcccabcaadbcd
+cddacbdccbdbacbcbaabbcccbcbbcbbcaabbcbbcdbdbabadcbbacaaaaddacaaaacbaaccaddabdcbcaddcbbbcdcabd
+ccbcddbaddacababcdabadbacdbcbacdacccbabacadcadca
+bdddacaccdcbbdbaadbccaadcdcaacaadcaccdddbcdadacdbdadcccabababccddddc
+ccaabbdbbddcddccdacdabcdbabbcabcdadcbcbcdacbbcbbdacaadbbaaddaacdaccaaccaabdb
+cbdbcdddbadcdacadcdccbdccbabccccccbccbbabbcccabcacdadaaabdcbbdcaddabcdccacdcbcacbcadbbccbdd
+adbcdddcddacdbcadbdadaabdbbadcddaaddbbcddcadb
+bbdbbbbabcabcbcdaadcbdbbbadcdacacd
+addabcbabbdbaaacdbbddbdcbcddbdbbbbcbcbacaccdadadbacaadab
+acdbabdcabbaaaadbbbcdaccbddcaaccddadcdbccccadabcacdbabdcccadcbbacaaccdaadbaaddcbdbbbcddbbcabcbc
+bdcdbbbaaacdbbdccbdaabbcaacbbdbbbdadbdaadbbcabdbaccbdbdddcabaacaaabbdcdddcdbadcbdcadbbbb
+ababdbccacddacbdbccdaabddacaaddbbacbddbcccdbdadcdabdbbaddbadcdbabdcbaac
+bdddbaaaccaddabdcddcbbaacaabddccdcbaabdadbdbbbcacbddd
+daddcadabaacdba
+bbbacdbbabb
+cabaddaabbcdbcdcaaaccbcbcaccabdddaddabdaddcdbbbcacbdcbcdabbdaccdcc
+cdaabdbbaabbccddcadcadcbacddabbbddcddcbcdaaacadbbadabaaccadcdbbcbaad
+babcbcdcbbcdabbdcbdbbbbccddddcbacaabbbdbadcbbdbdbcaa
+ddabbcdbbdaaccdad
+ccbbddacccdcbcadbacbadcddbabbbbdadbadabcccbacbcaabcacbbcccccadccdbcabadaccabcdbabdbacdcac
+ddaacbbcccbcdcbbaddadbcaacbbdbcacaddacdcacaadadadcdbabaccbbcbadbda
+bcacbbdcccaacccdcabaddddbbcdbdbdbabdbcbdbcdaaccabadbcac
+cbbdaaaabaacbbacbdcada
+daccccbbdbdcdccddca
+dddbdaaadaabbacdacbadcbaadcaadbdccdaaddaccacabdcbbcbbcaaddbcbcadcdaaaaadbcc
+cabcbccccc
+cabbccdcaccdbbacbcaacbcddbbcddccbadacdcccdccbccbcccdbcdbaacaaabbcadabacabdabbabbdbacda
+cdcdaacabbdbadddddbdacbccddbbcccdbbdbddcdbabddcdadacddbacdcacaddacbdaccaaccddcccaaddbcbacabdbdcd
+cdcdbadbdadadadadabdcacacaadcbcacbabadababbdbbacdbaaadcdaababcaaacbb
+ccbbdcaccdbcbadcbdbbacdddcaccaaddcdbaaaddadbcadacbbcbabddabddbcbdcdaabcdadddaa
+cdaacdcddbbccbbcdbac
+dacdadcdacbbadcddcdacacccdbdcabaabdccccb
+ddbbcbcbacacaaabcdacddcccacccaabaadadadcdbcbacacadacbacdbaddaddcdcdbadaccdaaacbdcbbbbddcacaacdacaba
+bdcadbdadcdccdbbcbbbcaccbbdcddccbbadbaaaccdbbbaaadccaaddbaadccbbacbcabbacbcdbcdbbacdabccbbdbbbcbada
+cddccdacbaaabbadbcbadcdaaccdbaaacadbcbddcbbabbcddaaadabdbdadcdbacbccadcccacadccdd
+bbccbbbcbbbacabdcbbdacbabdaababbabcadcbcccdaaadbbbadcbcbab
+dadacdddacdcccbcdcbcbbcaacbabdbaacbbabcdbdbadaddabdcbbccbaabdabbdcbbbbdbacdaabdbaca
+acadadcdcadbbbabadadcbbbdaccdb
+daadcbcbcdaaaadcdcbbadbd
+caaaccaacbccacbabdbddbbbbbdcaadaaadacacdcbcdaacdbacbbdddbbbdaacacdaadc
+abadabbdbabababbaadcbababddaabdccccacaadabacaddccddacaadbddbcbbaddbcb
+addcaddbadbdadddccdcaccccbddbacccccbbabdadadb
+bdadaccacbbacacdcbcbbaacccbadcdbbbaaadbdbbdbbaddaadabaadbadccdada
+dadccbbdbaaccdabcabbcaaacbcbbbddbbccddabcdaacdaddaddc
+dadcbdadbbba
+cccdcdabdbdcadaaddddddbbda
+badbacccddbdbcdddddddaacbabcda
+cbcbabaacddbdaaacdaaddcaddacbbcabdccb
+abbadbbaaddaabbbadcbabdacabddcdabcaaddcaabccaadbccaddcdaacaaccbbbacdcba
+aadccabcabdabaadacdcbcdbadaadbcddccc
+dcadddbdacdaabddcbccbdabbadcbddddcbdacabbbadaaacccabcabbbb
+bbccbcabcbcdabcacdbcdcadccccadcdddcbcccabadaddcdbadcddddabbaabdaddcbbcddabdaccaa
+abddddbcdddcccaabbbdbbcbcdcddbbbbac
+abbddaaabddacacdcbccdcbbdaacddbddaabbababdcabcdcaccdbbdcbcdabadcadcbddbdaddadaab
+babdadcccbdbddaccbdccabacdcabbdabbadccccaaccbbcdbcbdadbdaddcbcacbbcdcbbacaadbbcdbddccdbaaadccdbdddbda
+acbbdddbccbdcacddcddddabdaabccccbddabaddbcdcacbdabbdcadcabaddddbbdcbddbccaaaacaadadabcbbbc
+acbdabbaaaabcccdbbaabcbbadcaaadbdaddbacababbbaccddcb
+abbcbbccbaccbaabcacdbccbdcdabaa
+ccbcaaccaadabccadddccdcdcdcbbccbdcccaabbdcbbcbcddadaabccdadadddcccbdcdbadcbadabbadbcdccd
+bdaacabacddbbdbaacbcacdabccbbadbddaddaaabaabbadaabaaabdcbdbaabbbdbbdbcdacbcadcdbbbaabdbccddbac
+aacadacdcbdbcbdccdbbacbadccbacbccbcacadbbbbaccbcdabacbdbdcddbaddcababd
+adcabacbccddcddddbabdcaaa
+dcabaddcacb
+bbddcddabbbddddcbdcccbaaaccaccabdcbccacacabbbdbcddcdcadcdddaabbadc
+dacdbdbcadaddbcada
+abccbbbcbadba
+dbddcbaccbcddcbbaaadbdacdbdbcabdbcbdcdbcadcbcbbacbdbaabcadccabccbbcbcaab
+bbcabbbdbbddbaacaaacbdabacdcbcbdcbcbbcdadadddcabdaccaadcdbbddaaaadbdbd
+dbaaacabbacaaacdcbdcdbdbdddcaacccacdddacdcdabbccbabcabdbbdbdabd
+adcdacbccaacdaabc
+adbadaacdacdabdbdabbc
+cddbcdbdbdabcadaacbbcaaacdcbbcdaadcdabcccacdbdaacdcdccccdcdacccdddcdadbadaabddccbabcdccbc
+cdacdadabccbcaadbcadcaccbc
+cdaddcbbccbdccddddbdbadcacdbbbdadbbcdcaccabddabcbbbabaaccddaaccdbbdcdccbacdadbcdacacbbcabbbbbd
+bbdbdcaabdaddcbbcbddabbbcadaaacadcabbddddbbabcabdc
+dbbdaccbcacddaccacccbbc
+aadddbaaddaaaacabdacddabcdcacdcabccdbaadabababdddaccadacbaddccbcccacdadbdd
+bcbbdcadbacadabcbdacbbcddbdbaabaabdbaabbabadbaccdcbabacabcadccacbcbccbaabcdabdacbcbadcbcbdabb
+adcabddbdbbacbadcbdccd
+dabcccbbccdcbcaccdccdbcccacdbbdaddadabdbccbcdbcadbdadccabbcbcacccbdbdbbcaccacbdcbcdabdadbaddcdddbcbcbc
+cacadccaaddcddbaccdbbbbcbdcdabadcccbddbddddbaabddcadadadbda
+cadbbdddbbdb
+ddbdacadcbdabccbbdbcdbbaabdadadbaccabdddacdacbbbcdcdaacdd
+bcbbdadcaaaacdaccaaaccabbacaccbbcccbabccbdbdddababbdddcdcbdca
+dcdbdacbacabddcddbdccadadbdbbccccdcbcbaaaaddbdbcbadddddbbdcbbbcdbadbabdcacdddaacdaccadacbadbdbaa
+cadbdcdcaabaddacaabadabddaddcabccabdccdbbdbcbcacabdcabacbbbacddaaacaadcbaadaabdabdd
+ddbcddccaadbabbcdcbbdaddacaaacaabbcbbbaaacbcdddcacaaaadbcbbaddbdcbdbdbddcbaddbdccabcdd
+adccadbadaababaabcbccdcdbadbdadcaababddbbaddaabdddbabdadcc
+caddbaadadabccbddbadbadcbadddcbdabcdcbcdcadcddabbdddadbaacaacdbcbdbcdaccbdddcadbccbaabadbadccbbdaaddbac
+dabcdddaadababcacbcbdbbaccabbadcdcdbbdbbdcccbccbbcaadadcaadbdcbbacbbaddaacccacbdbacdcdaadcadcababbc
+abddbbdddabcaadddaddccdacbadac
+dcbcadbbbcadcbcbbbabbcadddcddddddadadcaacbbbbcddcaadcaac
+dbcccabbbabaaddcaddbbbbcbcaabcbbbcadaddabddbbcdc
+daadacdaaaadcbcccccdcccbaccdbbbadaadbcadbbcdcadcabbdcac
+adaacdaaaadcddabdadbdaacdabbadccadbadbabb
+aadadcadcdaabcbcaacdcdbbddc
+cacaaaadccbdbcbbbcbdbbbcbadccbaadaddabcdcbaddbccadadadcbdabdacbdbaaddddcdcbadddbcdbbabaacbadbbdbdaaaddcc
+cbcaacbacdabcaddbaccdbcaadabacaaacdbabbbbbbbabcbdc
+bbdccabdddbccdcacbaabaccddddcbcdaacaccccdbcbdbbbdcbdddabbbdaddbbdccbddbabcdcbccbdbddbabdccaa
+cdddbdabbbaddaaaaddbaaadbaadadbbcdcdcadaabaabbddcdcadccbdacdddacbabbabbadbddbadccdbbccbcaabdc
+adcabadddbcdcdaadccdccadbdcdadbaddaad
+dabbcbcabcdabccaadabbdadacadccddccbbadabccacdbbbbabdaabdadabaacdcdcadcac
+dbcdbddadbcbacbccccdccdccaaaddaadccaccdacabdbbddcaadcdccdabbabababdcbcccdbadaadbdbacdacbdadbacaabba
+ddaaabbdcbbdbbaaba
+baddcbaddabaadbddabacabdbbdac
+cabdcddadacbbbdbcbcacaaacbacadbcdbbd
+aadabbaadaccdbdcaadccdabadcacbcbcaabcacbccabbcadbbcabaa
+caabdaacbcdcdbdcbdbcbbdbdccdacddddcbabcabdcccccdddddacddddacccdcacbdacbccadbcdcaadaaaacdadccbddd
+dcccbdccacddcdd
+cbaabcaaaaaacc
+bbdbbdbcbbdda
+aadcadccbbbdddcdbdbbbaccddbd
+dcdabacdbddadbaabdccccbbdaaadbccdbdcbbcbadbabcdaaaabcdbdacbbdadbbbcdacabcddaadabdcdcbccaaacdbbbbbdd
+dcbcdcbdbdcbbbac
+dcdabadbcdaabbdbddddadaabacac
+ddbdaccdbacbcdacca
+ddcaccdcdccbadcbadacbdbabacadbadccbcbcbdcdadbcdddcaabdbacbbccacbddcdcd
+ddaccacaabbdaaaadadbcaadbdaabaaadacbabadccaddb
+badcaadabcc
+cdcacaaabccacababacabbbcabadbacdacddabadbdaccddadbcbcddc
+dcabcdadabaddadadbdccbdbccacbbaacacaddcddbdcccdcacadcdccbaadaddabadcaccadcdacbcbccbbdcbdbaabcdaacdbdadcbc
+aacbdaadcabbbbcbccbabcbbdadadbadadbbdbbccdbaddaaabcaabaddbcbcadbdbcccbbbabbcbacdca
+bcaabbbaaabbccbcacaaacdbcadddddbddaaaadbdbdaddbbdaddbdddaccccbbdbbdbbadadcbdcbbb
+bdbbdccbbbcbddacccbcdaccbbaabcdaddbbabdcdcbcbcdb
+aabddccbbdcabbabaadbcdcdddccbabbcbddaabaaddbacdcaaabdbcabbaaccadccbcab
+abbbdacacbbcdcdbaccacdbbbadabcaadddcbcbbbdbdcadccbcadcdcaddccdbbaaadaaadbaadacaacddaaadcacdbcdbacbdbcbdacbac
+babccdbbdcbbcaaabaddbddbdcaaabbcbcacddadbddcdcaaddadaccbcaccbc
+adbacaaddcbcbcabaddadababbacadddcdbcaadbb
+bccacdacdcaddadcdaabddaadcbbacbabbbbabdbccbbabbbcadcddddababababacbadbbacdddcacabc
+cadddccdaddbcbbdcabdcdc
+dabbcccbbbacaccadbbccbcaadcdcccbbdbdabcbdbccddbaacdcaacbcadcccdbbacbbbcabccdbaddc
+bdddaadabcbdccbbbdbbcbcbadbcdbcdacbdaaadcbb
+abdbcdaccdadcdacadcabdababbcdaccaaaccbaabacacbbdbdbddadbccabbddddcdcadbdda
+addcdcdcaadccbccccabcddacbaadbaaaabddcdcdbcccabbbaddddaccdcaabbbbdba
+cccddbcabaabcabaccacaddabbdacbddcbbabdbabaadbabcbcdacdddadcadcbdaccdbbdadcbbaddcbabaadcbbc
+173 173
+cccacacaacbaccccacbbccbabcbccaccbcbaaaacabccbaaccabc
+ccbaaacacbbaacaaabbcaaccabccaaacbbbbcacbbbcaacbbbccaaaaacaabaa
+babaaacaabaccaccabbccbcacacccbacaccbacbccbcbababcbbbcbccbbbbacabaacbbaacabbbbcbccccabaacbcaabcabcacaabbbbbca
+ccaccccabaaab
+abcbbbbaaabcaaccbcccaacbaaccabaacacbcbacbcbbaabcbbbccbacbcaaabbaccba
+bbcaababbcaccbcbbbccccaacabbcacccaa
+acbacabbcccbcbccbaccccbbaccba
+baacabcbba
+cbbaaaababcacbbabbacacabbbabbbbabcbabacaaccbabcabacbbbbbbaccbaccbacbbabbccababaaabbbbaaaccabb
+bbcbbbccabacaacabcaccaabccccbaacbbbabccccbaaabcbcaacbcbacbcbcbbbcacaababbaacbbaabbccbcbaccbbccabaca
+bbbacbaaabccaccacacbcaabcacccabcbcaacbbbaccbaabbbabbabacbb
+baacaaccbaaccaaacbcccaca
+bbcaccacbbbcbabaccbbcaccccbccaccaaacbbbcaa
+cccaccbbbcaabaacaabcbba
+baaacbaabbcbabacabbbbabcbccacaaccaaabccbaacacccbbbccbcaaabcbaccaabbcbacaccbcbabccaaabcaacbacccaaacaaaacbc
+bcabbcaaacccabcabaccaccbbaacacbbcbcbabcabcbcbcaaacccbacbbbbbaabacbacbbabcbaacbcaaaa
+bbabbcbcbbbabacabbacacaacacbaa
+abbbbaaaabaccabcbca
+abcaabbcacaaaccacacbbba
+cbcbabacacaaabcab
+cccbbbcbbbacabaabacacacccaabbbcbc
+aaaacaabccaccabbaacbacacccccccabbccaccbaabbacbcabcccababbbbcab
+cccccccaccaacbccbbbaccaaacbaacabcbcaacccbbbabacabbcabbaabcbabbcbccbcbca
+abbbabbcccbbccbbaccacacbaabaacaacbaabccbacccabbaabcaccccabbbbaacaaca
+baabbcaabcabcbbcbcbbcabbbabaccabcbbaaacccbaacacaababccbacaccbbbabcbc
+baccabbbccabbabacccccabaabacbccbacbbbaabbacbbcaabbacabbabcbcabacccaaaabcbbcbbacacacacacaaa
+acaaacbbccacbacacbacbbcccbbbcbacbbbbacbabcbabcbaaacaaabccacbabccacacaababacaabcacbabbcaabacbcaa
+acbcbcacacbacbaacbacaccacabbaabcaaaccccbcababb
+aabbbacaaaacabbaacbbaccbaccaaaaaccacacbcbabcabaacabccbababacbbcccacccbccbacacc
+cbccbbcbabaaaabbbabbaaabbbccabcaacbaccababbaccbaaaccbccccaabbbcaababacabbbcabbbbcabcaacccaacabacaaba
+bababbabcabacbabcbababaabcbcaabbbccbcabbacbaaccaabccaccabbbcacaaabbabcabbcacacccacbabaabbcc
+aaababcabacabaaaccbbcacbbcbcabaaabcacbcbabaacacababcacabbbaaccacbccaaabccaab
+aaabbabacaaababaaccabaabbbaacbcbaccccaaccbcacaaacccbbcacacbbbbbabcbbcbababbabcccbabc
+abaaacccaacccccbabbabcacccccbbcbcabcbbbbacbacacaabccccbaabaabbbbaacabbbbcbaabcacababbcbcbbcabbbbb
+bacbcbbcbcbbababaaaaaaacacbabbabccbabbbcbcccabcabcaabcacbaabccabacbacacabcbbaaacbcbbacabaccbcccaaba
+cacbcabcbbbbcaccbcbcabcaaaaaabaacabcaabaabbcab
+bbbaabbabbcbccbabacaccbaaaabcbacbabbcbbbcccccabccbaccbcbacbbacbb
+acccaaacbabbcbaaabbababcbcbcbccabbbabcbccaaaabbcacaabacbcaabcbcccbcbccbbccbbccaacaaacccbbcbbcbaccbbcaccaa
+caaacbccabbbaaabbbbcbaccbbcacbaaaccaaaacabbcccacccacacccaaaccaaccaabacaaaaaca
+aaccaccbccabaaaabcccbabacbbbbcbbbbbaccabcaa
+cbaabaaccaabcacaac
+bcbacbacbcccabcacaaacacbacaccccbcaccacbcababaccbccacbcbcbcabbaabccbbbacaaacbbbbccccac
+aaacaaaabbabbcbbbcba
+abbaacbaaabbacabcaccaccacaaaabbbbbaccccabccbbcbbbccabcbccbccacbcccccaacbaaabaaabaacccaacbacacacbbacac
+abbabacbba
+cbbaabcacabbababcbcab
+baabacabbbcbabbabacacbccaacbccaaaaaababacacbbccaacabacbbaabaacbaaaacacbbcabacacbcacbbbcbbbcbaacacbaccaaacca
+cbbccbbbcaccaabacaacbccbaacbbbccacacbacbbabaccbccaaacaaabcbbcccaccbabccabbbacbbbbcaaaaabcabcacabbabcabababa
+acccababbbbccacacaaaaaabbccacaacccccccccaacaccbbbacbbccaabbccbabaccaabcc
+aacbcbcabbacbcccc
+bcbcaaacccac
+ccbabbaababaccaabbbcabcabcabbbababbacbacaaaacccbacaccbccacacbcacaaabbcaaabbcababbbaacbaabcabbcaaacabaacbbbcbc
+bbbcbcaabcbacbaaccaaaaaacbbcbacacccbccbabacaaccb
+cbcccbcccacbbcba
+cbbcacabacbabbbcccaabababaacbaababacbbbbabcbcbaacbcabcbcbbbccccbcbacbcbcbbabcbacbcaaabbcbaccacb
+babbaabbbacbacbbbbbbacacabacbbccaccbaabccbca
+acbbbbcbcccaacbbacbcabbccbbabcaacbaccbbcbacacbaab
+acbabccbbcbbbababcabcbabbbbccaccbcaabccbacbabaaabaabbaaabcaabcaabbbbabacbbabbacabcbcacbacb
+bacbacaacabbbacbabacabcbabcbbaabcabbbbccbccacbbaccaacaccbcaaabbbababbccbbabcccabaacabaccbacc
+abbbabcaabaaabbccacabccbb
+cbcbbabaaabaacbbabcababbbccccbcccacaabcaccbcbcbabcaaaaccbbbacacba
+bacbabbbcbacaacabbbbcabcacacbbbcabcbbaca
+bccbabaaaaabaaacccccbbababbacaacabbcbbacbacbaaabbbccabccacbabbcaaaccbcccabacccaaabbccbbccaabacaabcbbcaab
+cabbaccbacbabcccaacabaaaabaaacbaabaccbccaacacacaaccbbbccacccbbccacabbbcabcccacaacababbcbccbcbbbaccb
+bbacaabbbbbbbccbaabccabaabcaabcbcaacccbaabccbaabbabcaac
+bbacaaabcbcacbabbbbcabcbcbbacacacbaccabcbababbbcacbcbabaabbbcccacccccccaccacbbbccacbaa
+cbbcaabababbcabbcabccabcaccacbbcbbcaacabcacbbbabacaacaacbabcabacbcabbcaabbacccbbacbcccbbbaaacbabaacaaaacbc
+acabaacacbaabbbccaaabccccbaaccbabbacbbbababbaaacccbacbaabbaaaaccbaabcccccbcbcabcbcccbcbabccc
+cbcabaacacaccbccbbacccbbbaaccababbbcba
+bccacabcbbbcccb
+cbabcbcaaaabbbacbaabacabbcccaabccacccabbbbaaaabbbaccaacabcabcbab
+accccbbcaabababccbbacababccbcbababaabbccbbaacabaacacccbcccaacb
+abaccacacbbbcbbaacacbcbcabcbbbbccbbcccabcbaccacacacbbcaacacacbcccbabcbbaccabc
+bbbbaccaabbbabacbcbcbabccbbacbbabbccbacacbbabacaccaccaabaccaabaacbbccaacbaaacabccacbbabcbaacbb
+baababaaabcbbabbccabccbcbcabbabcbaacbca
+cbabbbbcaacaaacababaabbcaaacababaacabababcabbbcbabcacccbcaaaaacacbcbccbaccaaaccbbbbabbbaacccccaabacbcbbc
+acbcabccacbcbbcccbcaaabcccbacbaaabbaacaaaaabbaacaabbbcaaaccc
+acacaaccbbbacaabcaacaabbacbbbbccaabbccaabbbbbaaabababcabcccbacaabbbcbbabaacba
+aaccacabbbcccabcccacbccaabbabbbabbacccaabbcabbacbbbcabcbababcccccabcbbbbabababbcacbacabcaccca
+cbaabaaaacacbabacccaaaabbcaa
+caacabcaccbcbcbabacbababcbcccbaacabacbaaaaacabbbbabaacbcbccabcbcabcabbbcbbc
+bbcbccbbccc
+abaccbcabccacacbccaaaabcbbaabaaccbcacaabbcccaacccabbacccbcbcbbaabcbcacbccaacababc
+ababbbbcbbccccabcccbabbbcccabacabacccacaaaacacccbcabcbbbbbcbbcbaababacbcaabcaccba
+abaaabcbaccbbbcacbaacbbaacbbccccbbbcaab
+bacababccabaababaaaabac
+caabbbcaacaabcbaaabbacaaaaabcbabacbacaaabccabbbaabacbccababcbacabcbbabbacbccbbcacbabbabcabbacabbbbcccabb
+bacabcbbccaababbaccbbcaacccaababcaacccaccccccabacbcbbccacbcbbacbbcbbbcbbcccabcaabcbbacbabacbabbaabbbbabc
+bbcabbcbcbacbccbbabbacaccbcbcabcaccbbcbaccbbaacaacccbcaaabccabaca
+acabbacbabaaaacbabbbb
+aaaacabcccbbbacabb
+bbccccaacabcaabacacabbabacbacbc
+abcbbbbacaaacaccbc
+caabcbabcbc
+bbccbbaacacacaccbcaccbccaaaaccbcaccacaababcabbbbcbb
+acbaccbccabcabccabbcbbaccc
+cbcabbababbacbcacaacacbcbcaaccbbabbbaacbabbcccbbbacacbccccbabbcccbccbacba
+baacccabccabaaabbbaacaabccbabcbccaaabaaabcbccaacaacbaaccabcabbacbac
+bcaaaccabbbbbacacabcbbacaaa
+accbcababbbccbabababcb
+bccacaabaccbcacbaaaabccbbcbbccacaabcaabacbbacbcbbcacbacaabbcccbbbbaabb
+abccabcaabcbbcccaaaaaaabbabbcbcbabcbaabacbcacbccbccaabccacccbbbabcbaacacbcbacaabcabbcccaaabaacabc
+baabbbaabbaacccabbcaacaabcababcaabbbbabcccbcbbcbaababcbacbaacbbcbbccccbcbbcacbbabbacccababa
+abcbbcbcabcbbbacacbbcba
+ccbaaaaaaccabcacbcacbabcacbccbcabaccacbbcabbbaaacacbbbbbbaabaccbaccaccbbbaacbaccaabbabbaaacaabbaaccaccaacbccb
+abcacabbbcbcbcbcabcabacacabaabbbacbababaacccacaaacccbcccbaaabbbbaaaaacbbacccabbbcaaacaacaccacaaaababba
+ccccacbbbaaababbccbacabcabaacabcaaaacaaccaaacbaaacc
+cbbbcbbbccbaacbcbaaaacbacacbbabcbbaacbcababbaccbabcabbabbb
+bccacbcccabcacbcbbccacccaacacabcbccbbbbcabcaccaacacaaacacbcaabcccaccbcbabb
+bbccaaaaabacaaacabacccbccccaabbaacbcbabbbcbbaaacaaabbacbaaccccacaaabcbbbbaaaaabbbbbabbcbbbcbbcbbbcabbcacb
+bcbcbcacbacaabccacbccbbcccacbbbbcbbcccbbacabacbbbccbaacacaaccbcaa
+acabccbbbbaaab
+bbbaabcacbababacbcbbbba
+abcacbccccbcccbbcccbcbcabbbcbcbccccbaaabaccabacbbcbaccaaccbbaaabbbacbccbbabbbbcababbaaaaababcbbaacaa
+bbbcbaabbaccbabbbacbbabcacc
+caccbcabcbbcbbcbaaaccccabbbaabccabacbacbbbbaacababcccbcbccbbaabbcabcaacccbccabbabcbaabbaccbabbcac
+abcaaabbcaabbbbacbabbabbbcabacbaaaaaaaaccccccccaccbbbbccbccaababccccbaabcbbcbacac
+bbbcccccabcabcccabaaabaaaabbcabaababaccbccb
+accacacacaaccbbbaabbccbababccaccbbcabcabbbaca
+cbacaacaacaacccbbccacbcbcbbabaaacabcabcbbcbcbcccaccaabbbbabacabcbbccaaaaabccaccbaabc
+aabccccbaacbaabaacabbcbbccbbbbacbccaabbaacacbcacccaacccccaaabab
+ababacaaabbbbcbcbabacab
+abcccaacaabcbaac
+babbcacbccbbacccbcccaccbabcacbacbaccbbbbacaacbcaccaabacabbbaccaaacbcacbcbbaabccbbbacccacbcbccca
+bbcbcaaacbacbaabaabbcbabbcaccbabaacbaacacbaccacbbaccbcbbccbccaabacaccaacbca
+ccbbbaccbbaabcccbcbcbbbaccaaababccbbccabbabccbabcababcbabaaacccaabacbbbbbaabccababacacbccbbaccacccacabbaabb
+baaaaaccaabaaababaaaacbcabbaccccacccabcbcaaaacbabcbbacaaacbabbcabccacabbcababacbabbbbcb
+cbaccbcabaccbaabcaacbaccbcbccaaacccaaaccccbabbacbbbccbcacbcbbccbaacbca
+bccbcbcabccbaccccbaaacabc
+bbcacaaaaaabbccaacabbcbaa
+baaaccaacbaaaaabcbabaaccacaccbcaab
+cbcaccbbbacbabacbbcccacacbbacbbabacaacbbac
+cbcacaabcbcaabcccaa
+cbcccabccaccabbabcacbabaacabbabccbbacaabacacbcaaaabcccabccbbaaabcbbbbcabacbbbcbabacababbababaabc
+cacaaccacaaacaacbabcacbcccaccbacbaabbbbabaaabacacbabcaccaabccbababccaccbcccbccbacabaabbabc
+bbabcbbaacccbbccbaccbaccbaacbbcccabaacaccacbb
+acacbaaabbcccbabacbbabbbaabaacbbbbbcacbcccacbabcaccac
+ccaaabcaacbbabacacbcbbbbabcb
+aacaccaaaab
+cbccccbaaccccccbbbbbabbbcaacaaaaacabbbba
+bbcbcababaacccccaacccbacacaacaaababbaa
+acbcaabaacaccbbaaaccacacacccbcaccccbbacaacabbbbcbabcacaccbcbcacaabcabaacbccbbbccbccb
+bbbbcbbaabacababaccc
+ccaabcbcbcbcbaacbbcaccccaacbcbbbbbcbcacb
+babcabcbaccbbbabbaccaaaacacbaaaacabbbacbabbcaabccaabbacbcbcacaacccaacbcccbb
+aaabcbabaacaaacbcbccccbcacccbcbccabacabacbaa
+cacbbbcacccabcacaacacabbcaacacbccbbcaccabaaccbbbaabbcacaccacabcacaccbabbbcbb
+bccbccbcbbccaaaccccaaccaacabbcaacbbaabcca
+abbaccabccbcacabcbccbcbabccacabccbbaabbcabaaacbcbcbbbaaabcccabaca
+babcacbbcbaacacababaca
+baabaabbbccbcccbaccabacbcccababcbcabccbcbcaccbcbbcaccaaccbcaacbababaacaaaaaaccabbaacaabcabbaca
+baaabaccbcccbcbbabcacbcbcabccbcacbcbccaccbcabbccbabbababaaacbbabacabbbbcccbaccaacabbbbcbccbabbcbb
+ccabbabbcacbccbcbbcbbbcaaabbcbbaabbaacccbbbcccabbabccbcb
+aaabaacbbbbcbcbaacaabaabbcabccbbabcacbcbcbbbcabacacbbacbcbabbaccbbccacabbbbcbbbbacabccabbcccccbbcabacca
+abcabaaaabbcabacacbcacbbacccccbaacabacbccaacbc
+cbcaacbcbaaabaacbccbaacbaaaaacbaaaacbbcacbcccbaaccbbbacaabcbcbabcbbcccabbbabaccbaccababab
+aabacccbbbbabbbcacccbcbbbacaabbacabcccccbbbabbaccca
+bacbbcacccbaabbbabbaccccbabbbaaccbbababacabbccbcbacbcabbababcabaaacaabacabccbbaccacbabcbccabaccabcccbaa
+caccaacbbcbbbbaabaccbabbaacbbccabcacca
+cbbbbbbbabababbabaccaaababcbcaccbccbbcbccacaaabbacbccccccbacbbccbcaacbab
+ccabcabbcbabbbbbcbcccbacacbacccaaaaaccbacaabaabc
+baacbbabcaaabcccbbcccacbbaccaacabba
+abababbbacabaacbabccbccbcbbbbaacabbacbaacabcbcccaccbbbcccacaaabaaaccaabbbccbbaccbaaaabbaaacbabbcbabcbaba
+bbcbaccaabbcbaacaccbbbbbcaabbbbacbbaacbbbcaabccbcbcbbccbacba
+abaaaccaacaaccccaacaacacbccbaacbcbcacbbcbbbcacbbaabccaacacacabcbcccbbbaaaccbabc
+ccbbaacbbabaccbabcbccacccabbbbabaabbccbacabacbcaccacaacaaaccaabbacbcbcacacabacbacccbaabccaccccb
+acccbccbbbabcbcacbbbcbbabaaaaabbb
+cbacaabbbaacaccbccbbbcbabab
+baaccaccccbbba
+bcbaacacbcbcbbaabcbacbccabcbccaacacaac
+abcaccabacbcaccaccbccbcabaaaacccacacbacccbababaabcacacaaabbaccbaccbacbb
+abaabcaaacbcaacccbbaaaccbacbbcbcccabbaabbcccbbabbbbcbcbbcbbabbabaccbbaacbaabccbacabbcbaaaaaaca
+babaaabcabcccbabcabaaaccbbbccbabb
+115 32
+bbacbaaaabcbaaccbbcbccaabcccbaccabcbacbabacacbacccaccbcbabcabbccaacbcccccaacbbaaaaabbaccaacbac
+cbbbbccbaccbacabcacbaccbababcaaacabaacabbaacccbbbccbcabcccbbbcccbbcacccaaccacaaaacbababaaab
+bcbcbabbbaccaaccccccaccbbbacbbbabacabcaaccbcabcacaaabbbc
+abacaabaaaaababccaabbacccbbcbaccbcbabaaccbcacabababbcacbbcbbabaacbabbabbccbcbbaaacacacacaabbaba
+cacbaabaccaaabcbccbbaaaabbcccacabcbabcccbcbccccbcbbbaccbaabcabcccabbbcacaacababbcbccccabb
+abcbaccbcaacabaacbcbaabcbaaccacbaabbbaacbbbcabbbbbccacbbbcacbbcacbbabbcaba
+bccaabbbabccaaaaacaabababaaabccbcbcbabbbcccacbcaccbacbcbcbccacacccbaacababccbbcbccbacaccbbaccbaccbaaab
+bacbccbcbaaabbaaacbcbcbabbcbabbbbbcaccbacccccabacaaaaabcc
+aaccacbbabbcbcbabbbabbaaaccacacbababbacabcbcbabccbccbc
+baacbbaaabaccbcabbcabaccbaccbaabbcbaabcbccbcbbaccaabbabcccaababacacbaacbcbacbacbcabc
+baaacbccbcbbccbccbabaacbccabaacaabacabccbaaacabaacaaacaa
+bcbcbccbbabcbbbacbacbaabbccabacbbabaaccabaaaacaccbbcbaccbacab
+acbbacbbaabcbaacbacbcaacbabbbacaabbbabacacaabcaacabbbbbaabacbacabcbccbbabcbcbcccbaacccabbbbb
+cbabbcbaacbabbaaaabbabacbbaacccabcbcaacbbaabbccacccccccabcacaabcbbbacbbbb
+baacabbacaabacabcbcbbcaabcabaaabcbaccccabaabcabcbbbcaccbccccacacaabcbcacabacab
+baabcacbbabcaaaccaababaccccbcbbbaabcacbbbbcbcaaaaccaccccaaaaacccbaaacaabaabaccbaccbacacccabcbc
+accbbbabccaccbaccbbbaab
+cbcabacaacacabccbabbacaabcbabaaabcbcabbbaccbaacacbcbbcacaabbcbccabbaabaaaaacbbcacbaccabaabcabbcaab
+acbaacacbcbcbbccaaabbbacbbbcbaabbbcbabaacbbcabbbcbcabcbacabb
+bbaaccacbbcbbbcabcbb
+bccabcaccbbaabcacbacbbbaabcbccccbababcbbccbabaaacbbcccacccabccccbcbccaccacbccbcc
+bbbabcabbbabcaacbc
+bcbacabccbaccbbcabaaaaababbbaaccccaccbabaacaabccbbcbacaabbbabbacaaabcabcbcabcaaabbbaababbcabcbbcbaccabbbcac
+abbccabcacaaabcaacbccacbbbbcbbcaccaccbbbaccacaaccbcababaababcbbacaacbacaaabacbcbaaaab
+acbaaccbaacabbbcaabccabacbaabaccaaacbacbbbcbcaaccbbbaabcbabacbbcabaabbcbcaaacabaabacbbcccbbccbb
+abcaccacaaaaaacbaaabaacbcbbcbbabaaaaabaaaccabbacbbbbcbacbbbbbcbaaabbbcaababbabbbabaccbacbc
+cccaacbccbcacbaaabc
+bbccbaacaaaababcbabccccabaacacabbaccaaacaaaaaccabbbbaccacaacbbacabcbbbcbbbcc
+abbabbacaabcbbbbcccccacaacbbbcbabccacbccabbcccababcababcaacbacccbcaacbcbbbaaacbbb
+acbababcbacbccabccbaaaaaac
+bbbabcacababbccacbbccaacbabcbcbccbbccaaaacabaaacabbccbbbcacbccbbacbccaababacbcbcbacaaaccbbaccab
+cbbacbaaccaabcccaaccccabcabababbccccaacaaacbabbacccbbbacccbcacbccacccacacbababcccacaccccaccbccccaaccbcbacacaa
+ccbcccbbccacbcaccbbaccbbabbccaccabbacabaaabacacacaabbbbccbcac
+bccbcbaacbcabbbbaccbbabaabcbbbcacacacbbbbabbbbccabcbaabcabcabcccabcbabccaaaaabbaccccbbbabab
+bababaaaabacbcabbaaacacabbcabccbbaaaacacccccababbaaaccaccbaccaacbaccacbacabcaaaaabaccab
+baacbcbacccbc
+ccacccbacacaccacbbabccbccbacbbacaabaaaacaaabcaacabc
+bcbcbcaacababaaac
+bcbaaccccaaabb
+abbcabcaabbccacaaccbbbcaabbbbcccbcbcccacabaaababcaacaaccbcaccabaacbbabccbcabaaaaabbcacaababcababa
+bbbbcbacbccacacaaaaababacabbbabaabccbcacaccabbacbcacabbccbcabaacbbbbbccacbcabaacacbbcbacccccbabccbbbabcaaa
+aaccbaacacabaaabcbcababbabcaacaacb
+bcaabacbabccccacacbbcaacbabccabaabbabbacacbcbcacbcacbccbbacaaaccbabab
+ccaaccbabbaabbbabccbbbbbacc
+cacbaacaaabacbccccccbcccbaabcabaccaacabccbbabcbcbbbcccbcaabbccabaaaabbcabcacccbcbbacabcaacaaaaccbaabc
+caaaaaaaccaccbccccaabcbccacacccacbccccacbcbbbabacbcbacacbaabbbcabbcbcbcacccaccbaccbccbaababa
+caccbbcbbccabcbbcaabbcbaaccaabbbbcbcaccaacbabbcabcabbbcccbcababbacacacbcccbccaaabacaacbc
+aabbbcaabcabcbaabccabacacccabbbbcbbacabcbcabaaaaacbbcacaabcaaabcaabba
+babccaabccbaccabaabacaaccbccacabcacababbcbbaaabcbbbbcbabbcbbaacbababbcbcccacbbcaabaccaab
+cccaacaaaaabcaaaacbcaabbbbbacbacaacabcacbaababbccaababb
+babccbbabaaaaababccaabccbabcacaaccaababbbcccccacacaaacaababcaacbcacbaacabcaabaababbccaabcccaacbccaac
+abcaabbabbacbaabcbbc
+bcccabababacabbccabbcbbcbcab
+accbbbcbcacacbbbaaaccbcabacaabbcbccaaacbbaabccbabbbcbc
+cacaaabbbcbbacbcacbbcaacccaca
+ccbacbbcaabbaaaccbbbaabbabcbaaca
+baccacacabbbbacbcbccabcbbcccbbbbbabaccbaaaabbabaacaabcbbcccbbaccaabcccbbaacacababaabcabccccabaccccbaaaabcbbab
+bbaccbcbbbacabbacccbbccaccbbaabcaa
+cacabaaababbcccbcbccbcbacccbacaacbaabbbacbaacbbaabbcabcaacccabaabbab
+acccbbaacaabaaaaaabcca
+babaaaccbbcaab
+cacaaaaaacbbcabaaabc
+caaccabacaaccccaabcaabbbbabcacababbcccabbccaaccbbbaabaacbacbbbcabbacab
+abcaaaabbccbacaaacaaacacaba
+cbabcbaaaccabcbccccbacccccbabbaaccabbccbbccaccba
+cbaacccbacacbbcaaababbacbbcbaa
+bcccbbcccababbabcabcabbbcaabcbabbabcabcbcabaccaaaccbbbcccac
+caacbabbbbabcccacaaabacaabcaaaacbaacbabbbbcaacccacabccbaa
+bbcabbbaccabcaaaacaccaababbbccacbcaabcbbcacaabbccba
+bcacaacbbacaaabcbabccabacacabaaccbbbbbaccbbabacbbbbcbaaaccaababccabbbcccbacbaacbabbabbaacbabbbbca
+abbabcbcbbcccacccccbbbabaccbaacbaabbbabaacbbaaccaaccbbacbacccaaccccaabcccbcbbbb
+bccbaaabcbaacababbbcbaabcbaabaacaaaccbbbcbccbbbbcbabbbabbcbcaaabcccccbabcaac
+abcbcbcaabbcaccbbbabbcbabbcbababcbacabcbbbacabbaacacbcbabbaaabbaaaabacbabbccab
+bbbbbaabaaaaacaaacacabaaabbcaaaaabbabbbaaabccbbabaabcac
+aaabcbbacbcccbbcacbbabbabcababbbccbbacaabbcacaaabbccbccacbaabbbacaacbbcccacccaabaacaacacaaaabab
+acacccbabcbbaabbcbcbaccaabbaaabcccbcabbcbbb
+cbcabacaccccacabcabcccbcbabbaababacabbbcbcb
+ccaaacbaccaacbbacbabcaaaacaabbaba
+abcaabbcaaacacccccbcaacaaccaa
+acabbcaaabbbccbbbacabcbcbcbbbbccaacbaccababbbcaacbbbbcabacabaaacbbbcbbaabaacbcbaaaabbcacabbbbbcccaaabbc
+bbcbbaaaabcabacaabcbccccaaacab
+abbcbabaabcaccbbacacccccb
+caabbaacbcaabcac
+bbacbcccacaaaaabcacbabcbacacaabbcabbacaacabcbbcbb
+cbccaacbbacabacbacb
+abbaabbaabab
+abbbccbabbbaccabbcacbaaabbcaabccccaaaabcbacaabcacbacaaacbccbbccbaa
+acbbbaaabccacbabcacacbbccaa
+cbaccaacbaccaacaabacaacacaacacbabbccbccaaccbccaabcc
+abbbbaccbbcbcaaaabcbcbabbbcbabacccbccabccba
+aacbccaabcbcbbccbacabaccbabcacbaaa
+abbccacaaacbc
+acaacaacaaabacacbabbacccbbaaacabaaaabacabbcbacccccbaaccbaabaabacabbbabcacacaabbcbbabb
+bcbabcbaacbaacacacabccacaabcbabc
+aababcbbcbbbbcccbbbacbbacbbbacbcbacbbbaabbabcbbacccbac
+abacbabbbaaccabbaaacaabacaccccbccccbccabbaaaacacbaccbcbaabb
+bcbcaabccababacaabacbacbaaabcbcaaabcbbcbacbcbcabbaccbaacabaaccbcabcbbccacccababcbbccccccbacca
+babbcabbcccccbabcccbccacbcaababaccacbababcbcaaaaaaaccbbbcbabbbabcaacbbbbcbbabbaabacacccccbccbaccaccc
+acaaaccbcbcabcbaabaccababaabaaacccaacbccbb
+cbcbaabbacbcccbccbbcbacababbabcbbacbbaaabbcbbbcccbacaccccacaccacccaccabbccccab
+bcbbaaaaacaacacbbbbcbaaacaac
+cacaacbaaaaaabcbcccabbacaaabbccccabacaacbabccabbcbbaaabaacbaaa
+caabbaaccabaaabcaacaccabbcbbcbaccaccbbacbbabcbbcacbbcccb
+babcaaabacabbcccbbaaacbbaccabccacbabcbbacabaacbacbbaabccab
+babcaacbaab
+acabcbbbcaca
+abbaccaaacccccaccabcabaaccaaccacababcbcbacacababcbbaaacababcbbbaccabcabcbbaaccccacbabcacbcbbbaaccccca
+ccbabbacccbccbbac
+acacabcabbcccaacbccbbababaabbbacaaaaaabbaaacabbcbccbbabacaccccacbbcaaccbcabbbaabaacccacbcbabcbbcccacbbcbaacc
+babacabbaacbcaaaabbabcbbbaacaabaccbcccaacaaccaaacccccbcbccbcc
+acbacaababbcabcababcaacacbbbaababacbbaacbaabbbbabbcbbacccbbabacaaaaacbabccacbbabbaacabaacbccccccabbbab
+bbaacacacabacbbccbabbcbbcaaacbcabbbbccaacaaabccaaccaabbcbabbcccabcbabacbcbbabbaacac
+babacabbabbbbbbcbbbaabaaccabbabaabbbbbbacbccbcccaaacaaaaab
+aabcbcbbccabbabbcbacacccccabcabacaccacbaaaacbcbbabaaaccabbacaccbbcccaacabbaccaccabcbaabaaaacaa
+cbbbcabbaabaabaca
+182 120
+bbabbbaaaababbaabababbbaaababaaaababbaabaabbababababaabaabaaabaa
+bbabbabaaabbabbbabbabbabaabababbababaaabaaaababbabbbaaaababaaabbbbbbbbbbabaababaaabbbabbaababbaa
+bbbbbaaaabaaaaabbbabbaabbababbaababbabababaabababaabbabaabaaaabbbabaabaaababbabbaabbaabbaabaaaab
+babbbaabbbaaaabbababaababaabaaabbbbbaabbaaabbbaaaaaaaabbbaaabbaaaaababbabbaababaababa
+abbbabbababbbaabbabbbbabbbbabbaabababbaabaaababaaabb
+aabbaaaaab
+abaababbbbaaaabbbbaaab
+baaaaabaaaabbbbbabbbbbbbbbbbbbaababaaabbbabababbabaabbabbbaaabbbbabbbaaaaaabbaaabbbabbabb
+bbbbbbabbbbbabbaabaabaaaaaaabababaabbaaabaaaaabaaabaabaa
+aaaaababbaaaababbababbbbaabbbbbababbaabbbbbabbababaaaaabbbbaaabbbabaaabbabbabbba
+bbaabbaababaabbababbaabaaaaabaaaaaabaabaaababbaaaabbabbaabbbbbaabaaaabaababaabbabb
+abaabbbabbababbbbbbbbbabbaaabaababba
+abbbbbbaaaabbbaababababababbbbbaabbaaaabbb
+babaaababaaaabaabaabaaabbaaaaaaa
+bbbbbabbabbbaababbbbabbbababbaabbbaababa
+bbabbbaaaaababbbbabbaaabaabbbabbbbbababbababababaaaababaaababbb
+aabababbaabbbabbaabbbbaabbaabbbbbbabbabbaaaabaabaaaaaaabbaabbbabbabbbbaabaaababbabbaa
+bbaaabbbababbbaabbaabbaaab
+aaaabbbabbbbbbbbbbbabbaabbabaaababbaaabbbbbbaabababbaaaabaabbaabab
+abbbbabbbabbbbaaabbabbababbaababaabaaabaabababbbbbaaaaabbabbbbaaabaabbbbbaaaabbaababbbbabbaaaabbabab
+bbbaaaaaaaabaaaaabbbabaaababaabbbbbbbbabbbbbaaabbaaaabababaaaaaaababbaaaabbabaaa
+aaabbaabbbabaabaaaaaaababaaaabbbbabaaaaaabbbabbbbabbaaabbbabbbab
+aaabbbaabbbababbabbbbbbbbaabaaaaaaababbaababbbbababaaaabbabbbbbaabbbabbbbbabbaaabababbbbababaaabb
+abaaaaabbaababababbababbbbabbbabaaababbaabaabbbbaabbbabaaabbbbbaaabaabababbbba
+bbbabbbaaabaabbababbabbaaabaabbbababbabbbabaabba
+bbbababbababbbbbaaabbbaabbabaaaabba
+bbaabbabbaabbabaaaabbabaababbabbababaa
+babbaabababaabbaaaababababaabbbbbbaababbabaabaabaaaabababaabbbbaabaaabbaababbababbbababbbbaabbbbaababbaaba
+bbaaababababbbaaaaaababab
+babbabbbbbababbabbbbabbabbaaaaabbbaa
+ababbaaaaababaaaabbbbbbaaaaabbbabaabbabbbaaaabbbabbbabbbbbaaabaabaab
+bbaabaaaaaaababaabbaaabaabbabbbababbaaabbaabaabaababaaba
+bababbabbaabaababbbaa
+babababbabbbabbbbaabaababbbabbbbabbababaaaabaabaaababbba
+bbbabbbbbaaabaaabaaabaabababbbbabbbaababbbbbaaabbbbabbaabbbabbabbbbbbaaabbabbabaabbbbabaaababbabaabbaaa
+abaaabaaaabaaa
+babbaaaababbbbbaaabbbbbabbbbaaaaabbbabbaabbaabbbaabaaabaa
+bababbaabaaaabbabbbabababbaababaaabbbbbaabaaaabbbbabbbbababbbababbbabbaabaaabaababaaabababaababb
+aabaaaababababbbbaababbbaaaaaaaaaaaabbbbabaabbbaabaaaaababababbbbbbabbbabbbaaaaabbbaabbaaabaaababa
+aabaabbaaaabaabba
+bbaabbabababaabbaabbbabaaaaabababbbbbabaaaababababbbbbabbaaaaabaaabaaababbbbbabababababaaabbabbabbaabababaaa
+bbbbaaaaaaaabbaaababbaabbabbbbbabbaabaabbbbabbbabaabbabbbbabbbabbaabababbbbabababaaabbabbaaaaababaaaaabbaaaaa
+aaaaaaabbbbabbaaaababbbbbaaaa
+baababbabaabbbaaaabbbaaaabbaabbbaababbbbababbaabbaaaaabaaabbbbaaaabaabaaaabbbbbaaaabbaaaaa
+abbbbabaaabbbabbaabbaabbabbababababbbbbaabaaabbbbbaababaababbbbaaabaababbaaabbbbbbbbaab
+bbbbbbbbbbaaaabbbbabbaaabaaaaabbaabaaaaaaabba
+aaabaaabaaaaaabbaaaababab
+baabaabbaabbbbbaabababababbaababbaaaabbabbaabaaaabbaaabaabaaabbbbbbabaabaabbbaaabbababbabbaababbbb
+abaaaaababbabbababbbabaab
+aabbaaababbaaaaabaababbbabbbbbabbbbbaaabbbbaaabbbababbbbbbbbbababbabaabbbbb
+aaaababaaaababbbabbbbbaabbbbbaabbababaaabaabaaaababaabababbabbb
+baaabaabbba
+abbbaabababbabaaabaa
+baaaabbaabbabaaababaabaabaabbbaaabbababbbaabbbabbbbbaababbbbb
+ababaaaabaaabbbaaaabababbbaabbbaaaaaaabababaaaaabaabaab
+bbbbabbaaaabaaaaabbaaaabaaaaaaaabbaabaaabbbbababbbbabaaabaababbaabbbbbaabbaabbbaaaaaaaaaa
+aaaaaaababbbbaaaababbabababaabbabbabbbaabbaabaaabbabaabbbbababbaaaabaaaaaabbbabbabaababbbaaaabaaabbaa
+aabbaaabbaaabaababbbabbaba
+abbabaabbbbabbaabaaaaababbabbabbbabaaabbbbab
+bbabababbbabbbaabbbbaaaab
+abbbabbaabb
+bbbaaaabbababbabababaabbabbbbbaa
+babbaaaaabababaaaaabbabbbabaabbbabbbbabbabbababaabbaabbbaabaabbbababaaaaaabbbaabba
+aabaabaaababbaabababbbababab
+bbabaaaaaa
+abbaabbbaaabbbabbbbaaaabbabbbaabaabbbabbbabababbabaababbaaaaabbaababbbbbbbabbbba
+aaaaaaaabaabbaabbbaaabbbba
+bbbbbbbbbaaaabbabbbbbbbaab
+aaabbbabaabbabaabbbaabbabbbaaaaabbabbababbbbbaabbbbabbabb
+aaabaaaaaabbabaaaabbaaaaabaabbaabababbbbbbaabaaaaab
+ababaabbbbababbbbaaaabbbbaaab
+ababaaaabbbbbabbaaaababab
+bbbbabaaabaaaaaabbbabaaabbbababbaaaabbb
+abaaaabbaabbbbabbbbabbaaaabaabaaaababababaabaaabbaabbbaabbbababbabbbbaaaaaabbaaaaabbb
+bababbbbbbba
+ababbabbbabaababbbaaabbbbbbbaabba
+babaaababbabbaaabbbaabaaabaababbaabbbbaabbaaaaabbbbbbaaabaababbabababababbbbbbabbaabaabbbbbabababa
+aabaaabbbbbaababbabbbabbbb
+aaaaababaabababbbbabbbbbabbabaaabaaaabababbbabbabaab
+baabbabbaabaababaaabbaaabbabaaaabbababbababbbabaaabbbabbaaababbbaaaabababbbbabababbabaabbaaaabbaababbabaaaa
+ababababaaaabbababbbbbaabbbbaabaaabaabbaaaabaaaabbbbbbaaabbbababbbabaababbaabaaaaaaabbabbabbbbbabaa
+abbbabaaaabbabba
+abbbbbaaaaabbbbbbaabbabaababaabbabbbbaabbabbaabaabaaabbbbabbbaabababbbbaabbbabb
+aabaabaaabbbaabaabaaaabaabbbbbbbbbaabbbbabaaaab
+aaabbbbbbbbabaaababbaabbbbbbbbaaababbabaabbbbabaaaaaaa
+baaaabbbbabbabbabaaab
+bbbababbabbabbbbaaabaabaabbbbbaaaababaabaababaaaabaabbbaabaabaabaabbabbabbbbababaaaabaaaab
+aaaabbbaaabababaaaaaaaaaabbba
+bbaaaababaabbbbbbabbbabbbabaaaaabaaaababbbbaabbbabbabaabaabaaabbabbabbbbbaaababaaabbba
+abababbbbbaaaabbbababbbabaabbbbbbbbbbaaabababbab
+bbbaabaaaababbaabbaaaabaaaababaaaabbbbbabb
+baaaaabbbabbababbbbbbabababaaabababaaaabbbbbbabbabbbbabbbba
+bbbbbaaabbbbababbaababaaaabbababbbbaaaababba
+baaaaaababaaaaabbbababbabaabbaabbabaababaabaaabbabaababaabaababbbabbbaaababbabbbabbbababab
+bbabbaabbabbbbababbababbbaaaabababbbbabaaaababababbabababbaababbabbabbbbaba
+abaaaabaaaaaab
+aaaaaaaabaaaaaabbbaaaaaaaabaabbaabbaabbabbbbbaaabaabbba
+aabbbbbbbbbbbabbaabaabbaa
+bbbaababbbababaaaabbabbaabaaaabbaabaabaaabaabaaaabbbaaaabbbbbbaaabababbba
+aaabaabaaaaaabaabbbababaabbbbbaababbabbabbbabbaabbabaaabb
+baaabbbbbbbaaabbaaabaabaaab
+abababbbbbbbabbaabaabbbabbabaabaababbbbbbbabaa
+bababbbbaaaaabbbaaaaabaababababbaabbba
+baaabaabaabbbaaaabbabaaaaabaaaaaaababababbbabbbaabbbabaabaaabaabbbbbbbbbbabaaabaabbb
+aabbbbabbaaaababababbbabaabbaabbbbabbbabbbbabbbbaaaa
+abbbabbaaaabbbbbabbbbbbbaaaaababbaaaabaaaabbbbabbababaabbbb
+babbbbbbaaaabaabbaaabbababaaababbbaabbabaabaaaabbbaabaaaabbaabbabbabbbabaaaa
+baabbaababaababbaaabababbbbabbbbababaab
+bbaabaaaababbbaaaababa
+babbbabbbbbaabbababaaaa
+bbbbabaaabbbababaababbbbabbaa
+abbbabababaaabbaaaaabaaababbaabaaaabaaabbaaabaab
+bbbaaabbabaabbabbbbaabbbbababbbbabbbbabbabbaabaababbbbaaaabbabaaaaabb
+ababaabbbbabaaabbaaaababab
+abbbbbabbbbaaabaaabbbbbbbbbbbababa
+abbaabaabbabbaabbbbbbaab
+abbaabaabbaaabbbbababbabbbaabbaabaabbbbbaabbabaaabaabbaaabbaaaabababbbabba
+babbbaaabaabaabbbbaaaaabbbababbbb
+abaaabbbbabbbbaaabbbaaaaabbbaaaabbbbbabbaaaabbaabbaababbababaaabbaabaaabaabaaabaabababaaabbbababbbbababbbaba
+abbaababaaaabbbaababbbaababbbbbaababbaaabaaabaabbbbaabbbaababbaabbabaa
+aabbabbaaaaababbbbababaaabababbabaaabbbbabbbabbabbaaabaabbbabaaabaaaabbbaabaa
+baabbbaabaabaabbaaab
+aababaabababbabaabaaabbbbaabbbaabba
+aaaababbbaaaaaaaabbbbbbbbaaaabaaaaaaaaaaabaaaabbbbbaaaabaaabaaabaabbabababaaabbabababbaabaaaaabaaaababa
+aaaaaabaaaababbbbabaaaaaabbbab
+baaabbabbaabbabaaabbbaaaabaaabbababbaababbaaabbabbaba
+bbbaaaaababbbbbbabbabbaaababbabbababababaabbabbbbaabbabaabbb
+aaaaababba
+abbbbaaaabbbbbbaabbabbaaaaaaaaa
+baaaabaababbabbaabbbbbbaaabbbbabaaba
+babbbbaababbbbabaabaaaabaabbabaababbbaababababaabaaabaaabaababbbababbaaaabbbb
+baaababaababbbbabaababbabbbaaabaabbbabbbbbaabbbabbbabbaababbbabbba
+baabbaaabbababb
+bbbabaaabaababaababaabaaabbbbabbabbbaababbbaaabaaabbbbbababaaabbababbbbbbbbabababbaaaa
+abaaabaaaaabababbaaabbbaabbbbaaaabbbaaabbabaababbaaaaabbaababaabbaabababaabaabbaa
+bbaabbbbbbababbbbbbaababaabbabbbaabababbaab
+baaabaabaababbbbbabbaabaaaabbbbbabaaabbbbbaaaaaaabaaaabbaabbbaaabaabbaaaaabba
+baabaabbbaaaabbaaaaabaabbabbaababbbbbabbaaaaaabaabbbabbbbbba
+aababababbbbbaaabbaaaabaaabbabbabaabaabbabbbbbbaabbbbbbabbbbaab
+baababbbbbbbbaabbaabbbbaabbabbbbaabbbbbbbaabaabaaababaaaabbabbabababaaabbbaaaaabbaabbbbababa
+baababbbbbabbbabbbbbbaaab
+bbbabbababbababbababbabbbaaaababbbabababbaabaaaaabbaababbbaabababaaabbbabbbbaabbbbbbaabbbbb
+aaaabaabbbaaaaabababaabaaaaabaabaabbabbaaaaabbbaabbaabbbababbbabaaaaaaabaaabaaabbbaabbbbaabbbaabababa
+abaaabaababababbbbaabbbaaabaaababb
+abbbbaabbbabbabaaaabbbbabaabaabaabaaaabbabaaabaaabbbbababbaaaabbbbaaaaababbbababbbbbba
+aaaaabbbbbbbaaabbabbabbbbababbbababbbbaabaaaabbbabbaaababaabbaabbaababbababaabbabababbabbbaabba
+aabbbbaaabbaaaaaaaabbaabbbabaaababbbbabbbabaabbbbabbaabbaaababb
+aabbaabbbbaabbabbbabbaaaababbaaabaaaabbbbbababbaabababbaaaaaabaaabbbaabaaabbbbbaabbabbaabaababbaaababababb
+bbbbaabaaaabaabaaabbabaabbbbaaaaababaaababbbaabbabbbaabbababaaab
+bbabababbaabbaababbabbabbbababbaaabbbbabbabaaabbbbaabbbaaaabbabaaabbbbabbababbbbaaaababbaabbaabaabaababbbbb
+aabaaaaaabbaaaababbabbbaaaababbbbabbbbbbbabbaaabbaaaaaaabaaaabbbabaaabbaabbbaabaaabaaaababbaabaaabaa
+bbbabbbbabbabaababbaaaaaababaaaaabbbabbabaabbabaaaaaaababbbabababbaabbabbbbaabababbabbaaabaaa
+ababaaabbabaaaabaaaaaabaaaaabaaaabbbabbbbbbabbabaabbbaaabbbbbabaaababbbaaaaabbbaabbaabb
+bbaaabaaababbbabbaabbbaaabbaaaabaababbbaabbaaaaabaababbbaaabaabaaabbaababbba
+baaabbabbaaaaabbababbababaaaabab
+bbbababaaaabbbaaabaaababbbabbaaaabbbabbababbaababbababbbaabababbbaaaaaaaabaabaabaa
+babaabaaabab
+bbabbaabbbabaabbabbaabbaaaaaaabbbabbbbaaabbaaaaabaabbbbbabbbbbababababbaaaa
+baaaabaaabbbaaa
+aaabbabaaaabaaabaabaaaabbabbbaabbaabbabbbbabaabaabbabaaaabaaaaabbb
+aaaabbababaababbaabbbaababaaaaabbbaabaababaababbabaabbbaabbba
+bbabbaababbaaabbabbaaaabaa
+baababbaabbababaabbaababaabaaaabbbbb
+aababbbabaabaabbabbabbaaaabaabbbaabbaaaaaababbaaaaaabbbaaaaabaabbabaaaaaaaabbbb
+aaaaabaabbbabbbabbbbbabbaaaabbbbbbbaabbabbbbbabbaaabaabaabbbaaaababaabb
+aabaaabaaabba
+aabbbbaaaaaabaaabaaababbbbbaaababaabaabbbaaaabbabbbaaaaababaaaabbbabbbbbab
+baaaabaabaaababaab
+babaabbabbbaabaaaababbababbaaaabababbbbbaaaaaaaabababbaaabbbaabbbbabaaabbaaabbaabbbaaabaaabbbabba
+abbaabbaabbabbaabaabbabaaaabbaabbbabaabaaaababbbbaaabbabbabbbbaaaaaabbabaababaabaaba
+abaababaaaaaababbaaaaaa
+bbbbabbbaaaaaaabaabaaa
+bbbaababbbbbababaabaabbabaaaabbabbabbaabaaaaaabaaababbbbaaababbababbbabbba
+baababbbbababaaaaabbaabbabbaaabbaabbababbaaababaabababbbaaaabbbababbbbaaabbabbbbaabbbbaa
+baaabbbbbbaaaabbbababababbabbabbbabbababbababbbaaaabbaabaaaabaabbbabbaaaaabaaabababaabb
+aaaaabbaabaabaaabbaabaaabaaababbbb
+bbababbabababaabbbbabababaaabbabbbabaaabaabaabab
+bbaabbbaababbabbababaabbaaaababbbbabaaaabaaabbabaabbababaabaaaabbbabaabaabbbbabbababbaababbbbbaba
+baaabaaabba
+bbaababbbaaaababbbabbbabaaaabaababba
+babbaabbaabbbbbbabbaaaabaaaaabbababaaabaabbaababbbabbaaabaabbbaaabbbbabbbbaaabaaabbaaabbaababbbbbaaaaabab
+babbbbbabaababaabbabaababbabaabaabaaabbbabbbbbabbbbbb
+282 256
+caaabcbccbacaabcccabcbcbbcccccabcabbaccbccabbbcacacb
+bcbcbbbccacbcacaaacbbcaaacbbc
+bbccaacabcaabbacbaababcacbabbacaacbabbcbbaaacbabbabbcababbaabbababccabcccbba
+ccaaccababcabcaacabbaabccbcaabccbbaacabccbcbccababccbcbccabbacabcccccbcbababbaccccccacaacacbc
+ccaaabbabccccccbbcbaacbcccaabbbcbbaaaccccacbaacbcbbc
+bcaaaccbbcbabcaaabbabababacacaacbbcacccacbbbacbcccabaabcaccbcaaaaccbcbba
+acbaaaacaabcccbbbcaababccccccaccbabbcbbccbbacaaccaacaaccabbcbcababcabaabbabbacabbacaabccbbccbbabbcabbaabcb
+bcbccaacccbcacacbcbcabbcaaccccbbccbbaccababcc
+cbabcccbccaaaccaccabaacccbbaccbbbabccbbbcbbbacaaabaabbacccbbaacccccaaccabcaacccbcaabaacbacbaccccabbaccb
+abbacbabccbbcabcaacabccbbcaaabbacaaaccbcaaaccacaabcccccabbcabcaba
+bbbcbabbabbbbbaabcaccccbbaa
+abbbababcacbcbacbaaccca
+cbcbaaaacbccabccaccbbccaaabbcaabaaabbcbbbcbbccacbaccbbbabc
+abcabccbaabcbaaabbbbaabbcaacbcbaacccbbbbccbabbbb
+abbcbcbcabcbacabcbaaaababbcbccabbcaccbcacaccbabbacccabcbbcababbcbabbacababccbcbaccbaaaaacbbabcaaaaaacaccac
+caaabbcbccbccaaaabccabaaac
+cabbaaacbcabcbaccacaaaaabaacabcbccaccacbbbaacccabbaacababacbaaababaabbcbbcbabcc
+baaccccabccbbaacccbcbccbccbacabbbbababbbbacabababaabcbbbbcbacbbbbcaacbabbbcccbabbaccaacbbbbbc
+bcbaacbacaabacacbbccabcabacacacacb
+bacabcabbcaacaabbccccbcacbbcbbbbacccb
+bcabbbacbaacabcbcabcccbccabbabcccbcabcbacacccbccbbbbaccbaaaccbacaabccaacbcacacabcbbcaccaccaaaacacbcabcc
+ccbabacbabcbacbacbacabccaaccbbbbbabcabcaaccaaccacbabcabcbbca
+abbcaacabacbcacabca
+cbabcbaccbacababbcaababcaaabbaabcaacbcbabacbbbbcaaacbccacbac
+bcacaccbbaaababcbccabcbcccbcabcbabcbacabcbbabbcbcacaaccaabbbcbcbabbacabcaaccbcaaacaaaaaabccccabb
+bccabcababbbcaabcacaaabbcbbbcaccacbbbbbabbbabbaa
+cbaabbcbcacbcaabbbbacaabcaaabbbcccabbaabbbbbcccbbaaaccccbbca
+baacaacaacbcabcabaaabbbaaabaaabbabbcbcccaabbabbaabcabcabcabccacabbbabbabccabbbcbccccaabaaaa
+bcbcaacbbabcaacabaccbaabbacaaaabcabcbbbbcacaacbbaccbccaabca
+bbabccacabaccbacbaaaacbcabcabcccbaaccbccbaacbacaababbacbbcb
+abcbaabbbcbabbcccccbacbbacacbcaaacbcbacabccccccbabacaabbaaacabbacaacbaccaccabaacbccacacc
+cbcbcccacbcacaccaabaaaaabbbcacccabc
+aabbbabcbcbaaccbaccbbabbcccabcbacaacaccacacbacbbbbcacacbccaa
+caccbacbcaccbacbccbabbaabcbbccacccbacccbbacacaaaacbcbbccbbaabacbcbabbaababcbbccaacbcbaabbabbbcccbbcc
+caccacaccacbabacccacbaa
+ccccbacbcabbabbcbababaab
+accabcbabacbaaacbbccbbaaacacccccaaabcaccaabac
+aaaacbbbcccbacbbacacccbbcbbcbbbcababaaaaca
+aabaccbcccabaababcbacabb
+acabcaaaacbacbbcacbabbbaccacb
+bccbaabcbaacbbcacbbbacbaccacabaacac
+acccacabbcbb
+baccbacccabbcaaaacccaabccacaabcbbbcbbacacbbcbbacabaabbabacacbb
+bbcbbaaaacbbacccbaabcacabbcaacbabccccbac
+bacbcbabbacbabaabccabbcacacabacbcbbcaaabbbbcbcbaccbbaacbbccbcccaaacbbaac
+baababbabacccbaaacbcaacbbaccbacbcabcabaacbaaccabbabccbbbaccaccabbacaabbacbaabccbccacbbcbbbabaaacbcabbcccbbbaa
+bcabbcbbcaccaccacccccabcaacaabbaccbaacaaccccaccaacccbacbbcc
+cbccbcbcbbcbacbaacababcabbacbcbacaccaaacbaccacabccbcbacbabbbaaccccba
+cccabbabbbabb
+cacacaabaaacaccbcbbaacaacccbbccccababbbcbaccbbbbabaaaaabbaaacacc
+aacbabcabbabbcbcbccbbabcbaccaccaaacabaccaababbbcbbaacccbbaabccababacacacaccccaa
+aabccbcabcbabbbacababcacababcbbccbccabaabcaacaabcbaaaaababaabbcabbaaaacacabccccbca
+acbaccccaaabbbcaabbabbcacaabcbbcccaabacaacbabcaabbcbcbabbacccbabaccabbbcbabacccbbcbaaaaacabaabccbcaaacbaabaa
+bcbcaacbbab
+bccacbbbccabababbaaaccbaccccccbababbbccabacbccbabbbccbcbbcaaacbaaccbbcbccccacabcbbcbac
+cbbbabccaaababccaabcaaccabacccacbacabccccbcaabbccabbbbcbabbbaaaabcbcaacbcabbcacacabccccbbaacabbacbbbb
+bbcbcacabbccbcbcaaabacbababbbbcccacaacbcaabccabaacbacbbcbcbbbbbcbacbabbaacacbcbbbcaaabacbcaabcabbbbacaababab
+ccccbacabaccbccacbaababbcaccbaacaaaabbcab
+accabccbabccbbaaaccbababaacbacaccbbcbccbaabbaabbbccaacbacbaaaacbabbabaccccb
+bbbbabbacbacbbbccbaabacacaaaaaabacacbbcbacbaaabcbaaaccaabaabbccabbcabccbaccccbbcccbcaaabcccccabcac
+cacccabcccabacabbbacbaaccbcaaccbacbaaaacabacbcabaaccbaccaabaaaacacaabacabab
+cbbcaaccabbcaaaabbbacacbabacbbbbcbabacbacccbaabaacbcbabcacaacbbcccabbbbbbabbbacaccababcbccbacbccccabacacbbbb
+aacabbbaaaaaaaacbcbbababccbcccbaacbbcbcaccacabbbcccbbaa
+bcabccbabacbccccaccbcaaccabcaababacccbababcacbccbcbabcacbbccbbabacaaccbccbaaaaccabcba
+acbcbcbcacbabcbbacabcccaacacccababcbacbabbaacaccccccaccbaacbaaaaaabbaaaacb
+aabcabcabaabacbabababbbbbccabcc
+ccbbbbbaacaabbbaccaabaaccaacababaaabbcbaaacacccabbbbcabbbcbccacbccacaabaacabbccacbaababacbbcabb
+caaaabbccccbabbacccbbcbaaabcbc
+ccabcabccaaaaaccacacbcacccbaacbbbcccbbcbabbbabbacbacacbbcbcbbbaaccacbbcabacccccbccbbbccbbbbcacbccb
+cccaaabacbaccacc
+bbbcccbbababacbbaca
+cbaabacaacaccaacbbbabbbcccbbcabbbabccbacabcbacbccacabaabaacbbbccccaaabc
+babacccaabbbbbcbabccbbacabcabcbaacbaacaacbccccbccbccacacaa
+bbcbaaacab
+cccaaaacbbabbbabbbacabbcacabcbc
+bbbbbcbbacbcbcaacbbbacabacaabcccbbbaccbaccb
+bcbbbabaaccaccbbbcbbbbbcabbabcbcbacbbacaccaac
+abaacccacccbbcbbaaaaaacccbcababbccccaabccbbcbbcabbccaaacacaabacccacbcaabbbabbbaabacbbabaccaccbacc
+bcbcbbacaabbabbcbbbacbcabccccaaabbcacbcccccabbcccbbccbaacbbbc
+abccbcacbcaaabaacbcbcaccaccaaaaacaabcccaaabbcababbbcbbaabcbbaccabacaccabaccbaccbcaababbacabbccccababb
+bcbcbcabbccc
+babbbbcacbcbbbaac
+bbcccacabaababcbbcbaaaacccabbbbbbcbbb
+aacbbcabcbcabcbcaa
+baacaabcaaacacbbcaacbbbacaaaacbbabacaaacccacbacbbbbacbaccbcbabbaacacbcabbccaccccaacbcacabaababbbbaabab
+cabaaccccccccaaaaaabcabbabcbaaacaacabbbbccabbaaabcaabacbabcacacaabbcacbbcbaaacbccaabacbc
+aaaacacacacaaccbacaabaabacbabcaaacabbaccacacccccaaacaabbbccacccbcbbbbcbbcaacacaabcccacb
+bacccbccbabccbaaaacbbccacbaccbaba
+bccabaabbabcacabbaacacccbaabcbbbcbccababcbbbacaaacbcaaacccabcbacbbababccacbbbbbcbaaabcba
+bacbcbaabcaccabacbbbcbbabaaacbccabbcccbabbacb
+bbbbccbbbaaacbbaccabbacacabacbaaccbcccbababbbca
+cbcbaabcbaccbcbacbcbaacabaaaaaabbbcabaab
+aacabccaaccbaacbabbaaabbbacccabacbaaccbcbabaacacabbabacaaccbacccbbabbacbcbacccbaccacbacaccacacc
+caaacabcacccbaaabaaabbcbccbcbbbbbbbbab
+accaababbbbaaacaaaccabcabbabbccacaababacbbcacbabbcacaacabcbbccbbbbbaababcabbcbbcccbcacaccccccabbccac
+cbaaabbbabacbabcbbbaaaacbcbccababaaaabcabbaa
+cbccccbcaaaaaaaccbbabcbccabbbabb
+acaaccbabaabcbcbababaabcacbaaabcbbbcbccaccbabcabaaacbaaacacaabcacaabccccbb
+aabbbabcabbaccabcabbccaccbbaccbccaaabaaccaacbbbabaacabcbbbbaaaccaacccabcaacbacbacbabaacaacaccabcbcabc
+cbbbaacaabcbbabbbbacccaabbccacacabaaaabccaaacccbacaabccccbaacbccccbcccaabcbbacacbcacaaabaa
+bcccacaabcbbccbacccbbabccccabbcbcaababbbaccbcbbbbccccbccb
+bcaabcaabbbc
+baaacccabbacbcabbccccbcbaaacbbacbaaccbcacbbabac
+ababcabaaaabccabaaababbabbbccbcacacacbccbacccbbcbaabacab
+babbabbbccbbabbbbbbbbcaabbbc
+abaacaaccaaaaccaaaabcaabbcccbbbbcbacccbacaabcbcaacbabbcaacbcccbbaaccbbbbcacbbcbabcaacacbbaccbbccccb
+aacbcabaab
+caccaaabbbbcbbbaabacbcacaaaaabcbacbabac
+aabacbccbccccbcbabaababcaaaacaaaacbcaaa
+ccbaaccbbcbbbcbcbaaaacaccccbabbabbaaaabbccabcbcabbcabababcabccacbbbbacbaabbcabbacbaaabaaacaacaaa
+aabbbacaacbccbccacbbbacacbccabbcacbcc
+cbacaacbaabaacbcbbcabbbaccccccacaaabccbbacabcabacbaacbcbaabcbaaabbababcacc
+abbbcacbcabbcaaabcaacbcaac
+abbccaacccacbbcabaccbacaacaaccbcaaccaaac
+ababbacbcbccbcbccccbcbbbcbbaabaaaabacccbbacbacbccbacccabbbaababcccaabcbabaaabccccbbbbbcbbcbbabbb
+bcbbacaabcbcacbacacccabccacbaaccabbcaaacbcccbcabcbccaabacbcaabcccbacaabcccbcccbabaac
+aabacabacabccccbbaacaaabcabccaccaaccaabb
+bcbaabcaacac
+aabbbabacacbcbbbbcabccacacaababcbcbabccbbcbaccaa
+abcabbacbabbbababccbabbccacbabcccaaacccacbcbabbabbbbababbbbcaacaccbbbaacbbca
+cbbabbcaaaabcbaabbbbcabcbbcccbbcacabacacccabaabaaabaabbcbbaacaacbbacbbbabbcbccacacccacbcbba
+caaccacbabcbbbbbabbaccbccbbccbcccccabcccbcabcccaccbcaacbccacacbcabbcbaacaabccbc
+babcacacbabababaa
+bbbccacabccaaacabaaacbcacbaacaacbaba
+cabbcbcbcbbbaaacabcbccccaabaccaaccccbbbccbb
+bcacbccbaaaccac
+caabcbbbbabacbacbabcacacccaaacbbaaabccabccababcccac
+accaccbccbacbcccbccbabcbbaabbcaaaa
+cbcacabbabaacccbaccc
+cbbccacaaaaaaabacbbbcbcaaaabbacbabcbaaacbaabacccaaccbaccaaacbacccabbabbaababaabbccbaaabaaaacaaabbbc
+acabcaccbabbbcaacbabccbaaabbcbcaaccacbacabcccacaaa
+cccaabbabcbcccc
+bacabaacaacbaaabbbbabaccacaacbbbb
+bcccbcaccabcababcbabcaacbabcaaaabaccaccbcbbaacaacaacbacbba
+bbcbaabbbbbabbaccaacbbbabbbcbcbcaccaabaacccacabacaabbbab
+cbaacacbbccbcabbacbaaccbcacc
+aabbbcbccabcccbbbbcacbbabababccacbaaacacabacaacbacbcabcbacccbabacb
+aaacbbbaaccbbcaaabcabacabcbbbccaaabbcbababcbccccbaaaacabacccbccbbbababaabcbaaaacbccaaac
+abbcbacaaaccaacccbccbcbabaabbcbacaaabcccaccaaaccccabacababcacc
+bacbccaabcccaabcbcbaccaaa
+cbcbcabccaacacabbaabacbbbbaaabbccccbcbbacbabbacbbbb
+aaabacbaac
+cbbccabacbacacccabbbcaaccbaaaccbcacbcccbcaccbcaacabccacacacccbcbabcaacbbcbcaccbacacccaccacbcabbacbacabbbccab
+cacccccbbbccbacccbaabbcccccbbcbbbaaabcaaacacacbbcbbbbbbaccabcbacbabccbabababcacaaaababcbab
+cbbcaababbbcbccccbcacaaaaccccabcaaaaaabaaabbbccbbbabaabcacbbbab
+acaaabaaabcacccbaabbcacccbcaaaaccaabcbbabccaacc
+aaabcacbaccccc
+bcbaabcccbcccbaaaaaabcabcaabbabbcaabccbcca
+aaacccbbcbbababcccaaccbcccbccbbbbcbca
+abaaccbacaacaabbababccbcacaccccbbccbbbabbaaacba
+cbccaaabaaaccacabbabcbbaabbabaabcaaabbaaacbbabccbbcaccbacaacb
+bccaccabbacccbbbaababccaabccabbcbbca
+bcbbccacccccabcbcccbbaccabccbbbbaabbccabccabaaaaabacaaabbaaaaccccbbccbcaabaabbabbabaababcaaaabcbbbcab
+bacaaaacacaaabbcaabcbaaacccbbacaccbcaacbbbbbacaaabbacb
+ccbaacbccbabaaacacbaaababcbcacaaccbccbacbcbcccabbabcabbaccbbcabcaaccbcacbbbcbbccabbbbacbcb
+acabcccbbbcabcbababbbbabbbbbccaccbcbcababccacabbabacbbbcbaaabbbbbb
+abbcaaabbbcbaacabbcccabaaaabbcbccaaccbaaabbbbacaaabbcbaacaabaacbbbcabcaaaaacc
+acaccbcccbbaacabacbababaabbacbabaababaccaabbbcccbcbbcabbacabbbbabcccabccccccbcaababccababacaab
+ababcccabcbbabbbbbabcabbcbabbbaabacccbcbacaabcccacbbaccbcbababacbacabbcbaabca
+bccccacabcabbcccabacbccacccccaccbacacabcbaccabbaabcccbacccabbabbbbccbabaaaaaacbbaaccbaaabacccacbababbc
+bcbacacccaaccccccbbbbabcc
+cbaaaaacaaccbb
+abaccacbaccabcaaccbbcccccbbacaccacacacbacababcabbcbccbcaaacabaaaaccabbccacbcaacbacaabcbbabcbabaaaaccbca
+bbbcbcacbacbbbaaaacbbbccbcbaaabcababcbcababcbbbbacbababbabbbbcbababccaaaaabccbccbcaccccaabccacbcccbccabbbcbab
+bbbccaaaabccabbcbbcccbabaabbcaacbbbbcacabbbaccbcabaacaaccabaaaccaacbccbbbaaaaabcabaacbbccccccccaa
+caabbbcaabbbbaacccccbbccbcbbbccbccacaccbbabcaccccaacabccababbbbccacbcbabcaaccacaaccabbbabbabbbcabbabcbcbbaaca
+bacbaccacaccacacabababbccccbabbacbcabaabcbbccccbcabbbcbcacbaacabbccaababaaaacacacabacbbbbbcaacbcbabcaccbc
+ccaacbcaacaacabbbbcccababcbbaacaabbbcbbaaabcbbacacbcccababccbcbacbcbaaccbcccabcaaacacbcbb
+cccbbbabccbbbabbcbbbbcaabbbaccbbcccbccbcbaabababcaaacabccacaabcabcaccaaabbbacbcaabca
+ccbaaccaabbacccbbaccaabbaaabccbacccbbaacabaabccabaaaabcacabacaabcaabccaaaccbccbbcaacbbbaabbbbcb
+cbcbabbbcc
+bcbbcbabaacacacccacabbccacaacaaabbbbabcc
+cabbbccbcaababaabccbaaabbb
+baccccbccabbaaaaccacbaabbc
+acabcbcbbcbbccccbbcccaabbbacccacbcbacbacbcbcccacabcbaaabcaaacbcacabbcabbaccbab
+ccbcbabbbbbbb
+bcbaabbcabbcbbaacbbbbabbaaacbcbbbabaaccabacbbab
+cbbccabacbbbaacaacacacccabacccabcacbabbcbaaaacabbcbbcaaabaccacaabacaaabaacaacabcbbcbcbb
+cabaabaabbacbbbcbbbbacbabcbcabcabcababcbbaacbbcbccbbcaacabbbbbbccbbc
+cacacabccbacccaabcaababababababacaacbcbcccacabcbabbaccaaaabccacbcabacbb
+cbaabbbbbcacacabccbbccabcabbaabaaaccbacabb
+cabccaaabccbcabcaccccbccbaabbacabbbbbabbbbacbcbabbbccaccbbacacccabaaccaaacacccccacaaababaababccbbcbbaacabbaa
+ccccbaacbc
+bacabbcabaacacccbcacbcbbbcbcbabcabcccaccbaaaabbcabccbccccbababbabbaaabacbaabcacaabbbcbccaacccaaacbacab
+ccabcccaaaccbcacaabcccbacbcabcbcccbccbcacabbcccaacbabcaaaaabcaacccc
+bcabcbbacbabacaabbabcaccbacbccabbabbbccbaca
+cbabcaabbabbcbaabbbaaaacbbbbbcabacbbaaabccaccccccababaabccbcbc
+cbcbbccccaacaccbaabbaaacc
+cacccbccbbbabbcbcabbacabcacacbabccacccaccbababbaaacacccbcbbacbaaccbaaabbcbbbcbbaccbccaaa
+bcaaaacbccccabcbbbcabbcbbcccccbcaaacacaaabcabc
+bcbbacacaccaaababcbbcabaabbcbbabcbbcbabbbcbbbaaccaacacabcacbbbbbbcababcbaccbabaabbaaabaabcccacabbbaa
+cbbcabcccaaabbccaaaaabbaabacbbacabbbcabcccbababaaaabbbbaacbbbacccbccbabccc
+accaabcabacbccacbbaabbbcaabbaaaabacaaacababacccbaccbaabbbbacabbbcacacbaababcbbccaccbbbcabbabbcccaccb
+abbbcbccbbcbaaacccac
+abbcaabcbaabacacccaccbcbccaccbcbbacacabccbccabbbcabcbb
+aaaccabbcbaaccacbbbabaabcbbbcca
+caabcbcabbabaccaabbbaccbbbbaacca
+aacaabbbbbbbcabbacaaccaccacacacabaacbaabcaaabacbabbccbaac
+cacaabaabaccccccaacabbcbacbcbccbaabccbcacccbbacccaaccacacbaa
+ccbcbcbccabaaabccaaaccccaaabcbccacccaacbbaccabacabbccbacbbacbbbccbbabaaccccacbbaabaaaacbbcaabbcbacccaacabb
+abcaacaabcbabbcbaccbbcaabbabbbaccaaccaaacbabcbbccbaabacabcbbabacabcbbcabcbaabcb
+aacacbbaccbbaccbacbccbaaabbaaacbca
+cbaabacbcaacaaacacccccbacbbaccbbbbaabcbc
+ccbcbcaacbcaabaacbabcaabbcccacbaaabcbccbcbbbcbcabcbcabc
+cbcbbbcbcbccbbbaacaccccabcccaa
+accbbbbacbaccbbaabccbaabcbabcbcaabaacacab
+bccaabacbabccacacabcaacbcba
+ccbaacccccbaabbabcbaccacababcaaabbbabbacabacbcacbabcccaacbbabcbbbaabcbacbcbabb
+abababcacaaaaaa
+bccbcbbbaca
+bbbaabcaaacbbbbcbbbabcbbacacbbccaabbcbccaccaaabaabacaccbbcaccbaacbabbcabbbacaccba
+caaccbababcccbaabbcabcacaccacacbbcbbccbbabbbabacacabccabbac
+babbbababbacacbabcabbcccbbaabbaccacababccbccccbbacccbaaabbccccabcbbaabbbccbaaaaacacababcacbbabcbacbacaabccab
+cabccbccbaccbcbccaabcccabaccacabaaacacbbbacacaccabcacacaaac
+aaccabbcabccacbacaaccbcbccccaabacacbcbcbbcbacbabbbccacbcaccabaaa
+cbbabaacbacccaabcccbbaacbbcbbcbabbba
+cbccbbaabcccacbcccaabbccabcccbccabaaacccbabcacbbbccccbbcbcbabbaaaabcbacabbaacaacbbbbcbb
+cacacccbbbbbcbabbccbccbccbbacbccabc
+bbbbcbacbbaacaacbaaacbacabacbcbcbcabbababcacbcacccbbacbbcbabcacbbbabcbbbccbaaaacbccccbaccacaa
+caabcbbcaccbbcaacacbaaccaaccaacbcaccaaccbccabaaacbbabbcccabbbbaaaaabbcac
+cbbcabacaaccabbaabaccccacbabaacaaacababaabbbbbaccaaacabcaccaacbaabacaabcccccacacabacb
+cccccbbbabaacbcbcccacbacbcbcabbcbbbbaabaacaaccaacbcaaaba
+caccabbaccbbbbbccbacbcbbbcccaba
+abcaacbbbbccbcaabbcbccbabcaaaaaabcacabaccaacbbabaacabaaaaccaaabaabacbcabcbc
+cccaacababbbbbbbbabaaabababccbbbbaacbabcccbaaabcbb
+ccabaacbccbcacccacabaccccacbcbcccbacacccaccc
+accaabbccaabbaaccbcbccaacccbaba
+acacababbbbccbcccbaccbaaaacbacbabcabacababcbabacbcbcccbaccbcbbbacbabccbbc
+cacbbcbacbbaaaccbb
+acbbbbaaccabcbbcbcbccbcabacaabbbbacbaaacbabcbccbcaabccabcbabccaabbabcaccbcbcccaaacbaabaacacaaca
+accaacbcbbabbbcbbcaacaabaacaabbcbabbaccbabbaabcccabacbaaccccbcacbabbaacccccabbccbcbbccaab
+cccabaaababbcaaccababcbaabcaabbcaaccaccbccbaaaacaabccbbcbbccaacaacccbabcabacacaa
+bbbabbaacaabbaabbabacababacbaacabccbcccabccbbbaaacccccbaaaabcbcbbaaabbabccacbcca
+bbaaabaabaaabaabbccbcaacaccbcbaacc
+bbcaabcbcbccbabbc
+acaaacabccabbbbcccbabcabbcabacabacbcacbcacabcababccbcbbcabccbcacbabccccacabcccbbbabacc
+ccbaccbcbbcbbacacabbabcabbbcccbbaaaabaabb
+abbcaacaacbacccccbcbcbcabbcacbcac
+caaccaaaabbbbacbacccabbccbaccacaccacabcccabcbaabaabccbabbbbabcccccaaccabacccbaccabbabcbbabaacbababccc
+bbcccbaabbcccccbbaa
+caaccabacbccbaabbccabbbabbcbccccbbabcbbccbcaaaaabcbcbcaccaccbabaa
+caccbaccacccaaaabacbbccbabbbabccaabaaaccbcbab
+cbabcabcbccababaacbcbcbbcabcbbbabbcabccaaccaacbbbcbaaaccacababbcccccbabcbccabcbcbcababbaaabbbaabbacacacc
+cbcbbabbccb
+abbcbaacabacaaaaabcbbccccbbaababcabaccaaca
+bbcaabbcacbbcabacbaaccacc
+cacacbbbabaaaccc
+acbacabacbcabcababacbacabbbcacbbbcbacbcababcaacaccbacbbbbcaabbabb
+aacbbbbcabbccbccacaaaabcb
+abcbcabaacaaaacaccaacbcb
+abbcbbccabababbababcbbbaccaacababaabbbaabbbccbababaaaaacababbbacbbcaaa
+abababaaabcbaacbbbcacccbababcbccacacbbccbcabaababaabcabbacbbbbabaacbabccccbbccbcb
+cbacaabbcbaaacaabcccabcbabbacbbbbcabbbcacabcbabbabcccabaaccc
+abbaabbbcaccbcbcabcaaba
+cabaacccbbcbabbcbcacbcbaaaabbbcaaaabaaccababaaaaaccba
+ccbbccacaabcaab
+accaacbcacabbbbcaababcccaacbcabcbaaaabcaaabbabbbcbaccbbabcccabcaabccbcccbaaabbaacabcacccababbab
+cbaacaaaabbcaccbacbcacbbababbacbcc
+bcaaaabbcccbbcbaabbcbabaccccabaabbcacacbb
+cbcbcabacbcbbaccacacbbcacccbccccaabccbbcbbbcbabccaccbcaacabbacaaacaccacaaaaccbabcc
+abbbbbaacabcbccaaacbcbbbcaabcccaacacaaabcababbcaabababcbcbccbabcc
+bcabaabacaacacbacaacaacbbbbababbacbaaacbcccbacbababbbaabaaabbbcaaaacbcb
+bcccccbcbbcbabbacbbbcaaaccabbacbabcbaabccccaaacbabaabbcbb
+cbcbcacaabbacbabcaabcbcccbccbaccaacbabbacbccccbbbaacacaaabcbbbbccababcabbcaabcbbbbaacccccaaccbbccbaab
+bcbcbbaacbcabbaccaaaaaaacbbcacccbbbbaabbbaacababcabccbbacbba
+cbccbccabbbbbbbccaabbbcacbbca
+abbbbcbbcccbaabccbbcacbcbbaacbaaabcbacbbbbccbcbcccac
+bccacbbacbbbcabcabaaaabababcabbacacccacccbbbcaaac
+cabbcaacbabbbcaccabaacbaabcaabbaccccccaaacabcbbabaccbccaabacbacb
+aacbabcbcabcbbabcaaaaaabaabbcabbaabbccabcbc
+cbbabbbacabacbbbaacababbbbcbaaaacaaaaccacbaaaaccacbbcacbbbcbaccbabacaaaacaaaabcbbcacccccacbccc
+bcbcccbababcbcaabbaabaaaacabcbbac
+abbacbabaabcac
+caaaaccacabaacbbbabbaccaacabaacbaaaaccbbaccaabaaabaa
+aacbccbcbcacbaaaccabbbabccbaaacbccabbabccbcabcbcbaacaccabbbcbaaacabbabbcacacaaccbabacabccaacbbbba
+cabacbccacbbbc
+bccbbacaccccaaacabcccabcbbbcbcacbcccbacbbbbbccbacccbaabbccbbcbccaabcbaababbbcaabacbaacbaaaabccabbaa
+baacbbacacbcabbbcabaacbaaabaaabaabcacbccbbccbcbcbaa
+abacabaccbacbabbabccaccbccabaccbbcc
+bbacacabbbccaacbcbbcbcbcbbccbb
+caabacbaabcabbbbaababcccbcaaaaaaaabaaacabbccacbaacacccabaaccaa
+baabcbaccaacccbacbabccbabbabbcbacbacaaaccbbccbbccbbbaacaccbcaaccaabaabcbccbcbabaabcaac
+299 36
+dcddaaccaabbbdabdacccddaacdadcbddbdbccdbaaadbbbabcbbcaacbcacadddabbacdcdacdccbbcccbcaaccaadcbdb
+acbdbcaccbcdbdaadcdacadadccddccccdcdbacacaccdcdcccacccbabbdbbdddbccdbccddcbaabadbcbcadababdcacbdc
+bbdcdcddababadacbaadddcadbbbaadbdcabddcbabdbcccdcaddadddddcabababbdacbacbabbbaadcad
+dabdcdaabbadbacadaabbaaacb
+cddbbbcadcadcadacbbbcddbbadcaaaaddbbaddcbcbbdbcab
+abbbdbbdcbdbbdbabdbaadddddbcaabcabcddcbcbddac
+dbadcdadcbdacdcba
+bbdadbaaabddddbcdbdbbbdcdadabdcbccdcbbaabdcbbbbdddadcccbacddddcddccd
+dcbabbcdbdbadacabbdaddcaaddddbdddbd
+addbcbcbdcabbbcbadadbbccddabdccdadaadabacaccddbccd
+dbddaccdaadabddadacdabbabdabbbcdadbdadabdcbcacddddbacaacabaacbadbadcacabaadaccdda
+baacabaababcbcacdcdacaddcbaccddadbabcdaaadababbbdcbcddadbbaa
+ddcbddbdcacdbaaaacabbcdcabaadcdcbddadbbddcacadbcdbdcbdcaccbdac
+cdaaabcddbbaacbbacbdcbadabaaabddaabadacaadaddbcbcddccbabbcbcaadcdcddcdd
+cdbadddadcdadcadaddadbcbbabbaabaadadabbacbdcaa
+aabaaddadddaccacdcdaabdbbcbabddcddbabdddbbcdbdcabbdbbbaddcdcaddaddbbbbabcadadadbc
+acbbaadccbccbccacab
+adacbddabcddadcbdcacddcddbccdbccbcbcdbcdbdcaabbdbcaacbabbdcbcabccbcaabcddaccdcdcacabcacaabddbccabcddaac
+abacbbcadbcbddacaadaadacaccdcdcaaaaaacccddadcdbcccaccddcdcbccbaccdadcccadbbddcdacbdbdbcbcc
+dbbadbdaca
+addcaddddadcdbbabdccbdcccabbcbbdabcccdbdccbcccccbccdacddbdbccdc
+cbbbddbddabbbbabadcdccbdabcadacadaaccaabbaccdbaacabbbacbdadbccbbbddbacccdbacbdaccadd
+cddaacddcabbdccbbcdcdbc
+cbaadbbbbcabaadacbadcdbdddbbcdaccdcccaaaaadcbddbdcbbbddcddbccddacbcaadaabdabcbcbcddbacbbaabaaccccccc
+bccccadbbcbbddccbdddddbcdbcaaaccbbcddccbbabaadcdabddbbaabddaddbcddcbbcbddaaaaaacadcbab
+bcbccadabaadac
+bddadbaaadcacdadb
+aaabaaccabcbcbbddcbcdcbdbdbbcbcdabaaaabbcbbaac
+dcdccadbddbacdacbaabb
+ccddccabbbccdbccadbc
+cbcbbddbbbbcbabdcaadabbdbddbdbddbbbcdddd
+dcacacdccdddbbd
+abcbdadabacccbcdcddccbdbaaadababbbabdacdaaacdadabcbdccdbcbaabb
+cabadcadcaadbddabb
+dcbccdbbadddbbcddbbaadaccadccdaadcdbdccbdcbaadabbcdbcddadabdacabbcdcacaad
+bacdcbdaacdddccbcaabacbbddabdbdcbbaddbbaabaaddbaabacbdaac
+caabbcbdabdccacabdacacbcddbbcbabaddacbdaddddabcddddccbdddcdbbcdcdbbcabccdbcddadbbdabdbacddcbbbccbdbc
+bdacaacbcbcdbbacaacdbaabbcdbaaddccb
+ababdaccddaabcbbbccabbacccbbdbdbcbddaabbcdcaaabcbaccdaacbaddccbcababacbbdaaccddaccbacbbcbdbcdbccbbddcba
+acadcccddbadcdcaabbabdccabcdaaaccdacddbbcbbcdbdbbcbacb
+ddcadcdadadbaccaabcdcdbacbbbdbadbcdcbadbbcbbcbdababadccbaccdaaacbabbaacdbddadcaddcababddcddadabddab
+dbdaaaaabacacbaaadbabadaaaacdacabcbabdbdbdcbbdcbaccbcddcbbdccbabcdadcaadbbaabdbabacacacdbdddaca
+bcabadddccddadaddacbccdabcddabcccbadddbdbdcacbbddcbdccaabdadaabcadcdad
+adacdaadddacaddddcaadcdcddaabcdbbcacdbcacccdccacbbdcdadbbaabdabadacdabaddbbcadccadd
+badabbcbcabaadbbaadbbcbddcccaaabbdcadcaddcbcdaddbaaddacccdcadbadacdddaddbb
+dabccacbdbddbabbcddbdbcadccdcaadc
+cdcdbdcadaabbddac
+adaccaadbcaaaadbbbaccaccbbbdcdacdcdabcccbcbbcacdccacabbcbdcabbdcacbadacacdbbcbcabdbcddbabcaac
+dcadbdaacbabcaaabacbbcbbccdcbccddcaccadbcaadbcddbcdaaccbbcaaadddcabbddbbdadabcccbda
+bdbbcdacaacadabdbdbaaacbbbacdddabcbbacacccaadacdbccddaaaacdbbdadb
+abdbbadddccccbbadbddbacdabdcaddadaabacacddabccbccdcdbdabdbacdccbcbdacadabcbccaadcbcacaaa
+babcbbdbcbadbaacbcbdcabcb
+ccdccaddaaddcbacbacbbabbbbccbacdcddcacdadadadbbdcdccacabadbddaabbdaccccbbbbbdcdadcabbcccdcbaaabb
+cddacdddabdbcdadaadbaadccaacddcbacbbcacdabbcacdaacacbdaaddabd
+ddcaadbbcdbaddadb
+cdbabcbddacbaabadcbcdbcaddcdbcba
+dbaadddbaacacddbdddaaadadbaacbbcbcbaabdbbdcddccd
+abadabddabdadbdbbbabbdbdbbacddbcbbccbdbbabcdcbbcbbdaaaabcaacccccbdbdbdcad
+dabbbcadabadddbacdbcacdbbadccbcbcabdabdacbbdbdcbccacbabcabdaaaccdadccadddabccddcccdbdaddccc
+dddadbbaacbaccbcdaacddcdaba
+dacadbdaaaadccdcdbcddbccbcacaccdcbdbdcddaddbbbbbadacadaaaadbdaabdcadbdbabddbadaccbc
+bbabcccacaccdcacdcbabdaabcbaddaddc
+bcbabacbdccbdacb
+bacbcdadaadbccadcbbccbbadbbbcbbdcccddcadbdbbdadcacaccaadabbdbbcaaddbcbbcaddddadaadadccddccbaccaddbbdd
+dcaacbbbddacbbaccdcaadcccacdcccdcadcbababdcbbcdaaadcbbdabadabaacdadaadbdbacbdcaaabccccbacaa
+cacccdaaddbbddabcdcabccdadbcadccacdadcdccbba
+dcabadbbaaacbaddddadbbabcccdadcacbabcbcbcbcddaccbdcbacbabccddadcddcbcdcdbddbdbbaabadbdababccbccaacbdc
+abdadbdbdbdbbaadacacaabbaacdbdcbbdbaccadddcadabc
+abdccaccacabbcdbcbabdcbdbdcdaadbabcabbdcdcbacbdcddbbaad
+adbbbbadabdbacdbcaaabcbdabcbaccadccdcdbacbadddbbcadbbbabbbcddbacbcdaaadcabbcbddcacbcacdddca
+dbbcdacddaabbdcbdadbbbbddabcadbcdcadaadccdcbbdaaccb
+ccbddbcbbdaaaddbccdbababcbaccdcbbbbaccbcdaaaabbdcdadacabaaccaccbdcdac
+abbadacdccbdabcdccaddaacbbddabdadabccbdabdabcaaaaaadcdabdaababdccbaa
+ddccadacddcccdabcbacdbaaabbc
+cdbdacdabcbacdbcbbadacddcbdbdcccbaccdcbbaabcccadcbdabccdbcaaddbdcbbcddccabcbdcbcb
+acbadbbabdbcccbbbaacabbddbadcc
+caacbacddabcdbcbbcbaacabbbcbbddccccdaacbbbdacbddbdc
+adbbdcdbadbcdbbccbadbaaaadcccdaaacbbbdacbacaddaccdaddddcbbcbabdcdbbdccccdcbdacbadabcacbbbc
+cdbbcbcdcbcbadadccbddaacabbabacbacacbcdcbcddccdcbddcddaddddcabbbbcacbcdca
+caadbccccabacadbccbacdccbadcabcbaaaaabcadcccddcbdaabbdccbaadbdaaabadcabcbdcabbadbbaaaccadacacbbcbcbacabacdb
+dddbaccbcdbadcaaadcbcdbacbbcddddabdcddbdadbddcabddbbcadbaccaadcacdcabbaabbadbda
+ddaabdcacccbdccccbabbcbbdbdddcadbdaaccbbbc
+ccaaaadcbabcadaadccda
+acbadaadbbccabbbbacccaabcaaacdbbdabdcbccacaaacaccbbbabccbbadaaaabdbcdddaadcbbddbcddbbaccccdbcbadaaccdcdada
+bdbdacdabbabcddaaaddbbdbcdbcbacdaacddbbcadddaddddaddda
+cacdbbdbca
+dbddaadacbdccddaabcdbcacababddbbadacbbabccabaabddaaad
+bcccbabbdadbbbbbabbdcbccbaaadadabdbbabcaabdbaaccacbbcbddabbdbbbdacbadaccbbbdbbaacdbbdabdddbabadccab
+abaaccbccaccabbabadcccdbdaacadcbcc
+badadcbbdadcccccbacabcdbbacbaa
+ccabdddccdccddaacdcdcccbbaacdbbcabcb
+aabcbdbaabbbddbcccbabaabcaddbcdcabbddbdabaadaacbaabdcadaabdcbdbadaaacacbdabbbdca
+bacaacccbdcaaccbbacccccadddaabddcddbdcbaaababacbdacbcababc
+aacabadbdbaccaaccadcbcbcccabaaddccbaabcacdcdabbaacbbbdccddbdaabbbdcdbbdabbdbabccdddabcbaa
+bdbdccbcbdbdcbdabcbccbbcdbaadadbddadcdbdbdccdbbcccdbccbcdcbbdbdddcdddaccccba
+cccdaddadbacbcabbccacacadbdadababacbddddaababdbaccbbcaaaaaadadcaabba
+dcdccbddbbacaddadddbdbabaddddbddadcbccddddccbdabdbbdccddcdadbbbadaccdaccdacddcdccddca
+ccabcbbdbddcadddba
+daaaadabacbdadbdabbdaacbbbbaddabbcdadbdaacdbaaddbacab
+cabaadaccddabdbaadcddcbbdaacddbcaaddcdacadcccdaabbaaddbddab
+bbbabdccaaabcadddadcddcbaabdbddaacdccccdcacbdaccdaabdadcccbcdcbacacacdbacbabcddbccacaccaa
+bcdddcdcbcccabaadcabbdbcabbacdaacbd
+dcbccaaacbaccdacbdadabccddaddcbcbccbcbcadaacdababbbbbaccabcaadcadbcbdaabccbaadacccdcbb
+baadcdcbadcbcaddcadadbbddabddcbcaccbdadc
+dccbbbcbadaadddccdabaaadacdcbdacabadabccabcccdbdcaccbacbaccdbbbdbccaad
+cabbcdaaadabacbbadcdbddddbbcccabcccacacaaadadcccab
+bddcddcacacad
+cddbaccdaaccccddbbdcdbdbabcccdcaacbdcbdaddaabdcbbbddbacacdbbadabadcbcdccbacabcdbbcadcbbbdcdd
+bdbdbbaabdbadcabcadaadaadddbcaddacabcbda
+cabccdaadaacdbbbddcadadccdbdaabbcdbbbcddaaabda
+abacdbabaaacbabcbdadaaacacccabdbabaaadccbabccaccbd
+bdacbdbbddccdbdaddcdccbbbbccbcbaccaacbadbcac
+daaadabddddbddbaaacabd
+ddcccaabcbcbadaaabbbbbbddcacddcdaaadcccbcbabbacdcdcacbbdccbcddcabccddbcbaaccbcbaccdabdbddadcbabbcddcaaad
+cdcaacbcbababdbaaaaccbdbdbabaabdcbb
+bdcacccdacbcadbcdacacddbdcdccdbbccbcdddacccddbdcadabadbbbacddbcadcadcadbcacaacbaabddccb
+bbcdaddcbadacdacdaaacdbaddaccdabaccbddadadcbcdabdbbddcbbaaddcaaabacdccbbdbbbaadcd
+dacbddbacdaccbbcabbbbcbccdbdbbbbbbacaaadbbcccbdaaacdcbbadccacdbdddbbcbbbcadbbbaaacabcbdcdccbabdbcbcbccdcaac
+bbadaaacbacbccbacbcadadaabdaadbcdbdbcdcdcaccac
+bccdbcdbacaddbcabdbccaddbabcdbbcbcbadaabaaaadbbcdbdbacbdaacabca
+dcdaddcbcbddbdaccbdbbdbadbdbcdcaabcdacbabbddddaacaababbccccdcaaddcbdbbbaccabdb
+baacaaabadbdadcdcdccdddbbbcddbacadaaabbdabddddbaacadaddccbcabbddbddaaddddadcaddacccddcbcccbbbaccdabbbabcb
+cdddddabdadcbadcbabacadabadccadcaddcdbcccaaabbcbbdb
+ddacaaabccccccaaaaacaadbbcddaddadbacdacacabcbadddaabadaabacccadadcacddcdaaadbbc
+bbdbbacddccdadcaddbbdcddcbadbcbdcdddbccbadadcccdcbdbbadbacaabcbcccdcdaadacbccdd
+cbcbabdbddbccbaccadcdabccaabbdbcccdadaacdaddcddbadddccabadcbaccc
+bdabcaadadacbdcdacdccabaccaadcccdacbccaddddabbcca
+cacbadaaccdddbdaacacaabadccbaadabbdaadababbabbc
+cddadbcccaddbbbaccacccbcddddcdaddcadcacbdadbbcdaaaddabaaaadacaccacaaaccdaccaaccadbbcdccccaacacbcca
+bbdbcadcacacacbabbccadaabbbdbdcbac
+ddccbcdcaaadbcadaadbdcccb
+daaaabbbacddabdcccaabbdcbadbcdbdaaadcbddbccbabdccadbdaa
+dcacaadaaddbabaaabdaacaccbabaabdddbabbadaabbdbcccdcddbdccdaadcaacbddabc
+ccbcabdccccdcadacbcbaca
+bccddbbdcbcddccdbbcbdcaadbadacdcdcdddbddbcbcbaacccdbcdabdcadda
+cccbbddddcabccbadbdbcbddabadbaaaabdbbaacaddbab
+dbbddbcccaabbbdbcbacbadbdcdab
+bddbaccacbdccdddddbbdbcaabcdbbadcdaabcacddcbbdbbbddcdaddddababbcccababaddaadbacbbacadccdcdadcab
+badcbccbcccbdccccbdadcdbabdcdddccdaabcaddbadacdcbcbbacabaadbacacbaccadaadddccbbaa
+bdadadbdadcbadcbbbadcccabccbdbaacadbcdacbacacadaadcddcdababdcddbbdabdcdaddcabcbcbdbdccaacddbcbbb
+cabaaccdaaddababcdabddcadaccabdacacbccddadbdcdabbdddcdadccbbbbbdccadaacd
+cacdcbbdbbdbdcaacdbcdbcddbccddcaacbaaaaacddbdbbbcdbcacdcabcbbcacb
+aaadbadbdabaabdbbbccbbbcab
+bbbcddbabbbbabadabcaabcdbcbcabccbcdcdbadcadddcbcccbaccbaacdbdacbcabadbbcbdcddddbaadacbbaadc
+dccdddddbcaccadaaccdddbcabacbabddbdcbdbacdbabdbaabbbdacdddbddccddacdbdcbdccacabcbccdba
+bbaacccdddcbcdcaadbccdcadcacddbadbdcaabdccdddcbab
+caddabaaacbadccddcddabadbbccadddbcabacacbaadbbddadaaaaddddbcabbbabadbdbbbcdb
+dabaabaccddcddcacbadbccddadccddbdaccbddbaadacbacbcdddabadcdacbca
+bcadccaddabbaabadbbacbaadccaddbbdbdbacbbbbccbaccdcbcdddbddbdbacbaadabdbaccdadbadcddbdddddadbbbbabbccadccb
+cadabbadcabbdddcdbcdccaccddccbdcbccbcbacacddacbddcddadbbdbaddcbddcaaacaaaddcddbaddccbbacdbcdc
+adabbdcdcbcdcdaadcacaabdabccbddabcd
+bdddcbaabbccbcccbbddaadbdbbaa
+cbcccccbcdaacdbdadaadabcbaadadcccccadbaaabbaabadcbbabcacbb
+dbbdbcdaccaddbddcbabcabcaccccdcaacbdadbbbdbbaacddddcbbca
+dacbcdcbbbddbabbbd
+cdbaddbaddbdcddcdaccdacdbbcccdcaaacbdbcaabddbbaccbbcdaaabacdbabdaccbbadcbbbadcabacacbaadcadbbcc
+acccccaddcdaccbddacbabaacccabcadddccbddadaccaadcbacdbddbdcdacaacccdcccabaadbaccaadbaddcbadaabdddaaacbaacccb
+baabbbabacdabdcacccbdbcddabaccccccaaabacbaddbbcdcadbbdbccdccbdaacdbb
+ccbaabbdbbddaddbbaccaaccaddddadbcacdaddcbcccbadaadcdaccbacddabacbbabccbacaabdbdcadbbcdaaddaaadbadbdcddcac
+daddbcdadadabaddbbacbcdaaadaabcacdddcbbdbdcdacadacddbdcdcbacadbdaabadcdccbddcaddabcbbabdbdc
+aabacbdddabccbccbbabbdbdbcdadddcdcababccdbaadabcdaddbbcacbaaacabaccabbbdcbdbccdaacdddabcabdcadcacacaddc
+dbcdbdcadbdcbadcccacabcaaadaccdbacddadadadbacbcdbbadbccaccbddcccaabbbb
+abbcbddaccccacbbbcdacbbdcddbcbddaddcddabaacabaaabdabbddcdbbcaaacbdbbdaacabccbaccaacddbbcbc
+cdacdaaabaccbcdcacdabcababca
+bacdcdddcaaccccbadcaddacccdaaccdccbcbababbcbabbccaabdbdccbbbaaccddcbacdcadbaaaabacdbbdbcadcbbcbabbcddcdaada
+cbbdababaabcdbaacdbbabaccdccadbbbbc
+caaccddadbcbbccddbcbccdcaadaadaacabdaabbcacdddbacdacacbddbcbdddcdaaddbaddabddbbaabbadbbbccbcdba
+acccbbcabbadadbacbadcdccbddbdabcdbdcbcdbcadabbacbcdbdbddcccba
+cdaddadcdbdacacdcbadaacdacbbcb
+ddcdbdabcabccbbabddccbccadaabcbabccddbaadcaccaaabdccddcc
+acbaccdcccbbbbcbdbbacdcdbbaacbdabbabddcbbdcd
+aaabcbbadddadbbaaaaabbdacdbdaccaccbd
+dcddddcaaddaadadcdcbcbcdbbbbadbcbbbbdccddddbbdaaddcbbdcbbcacbadcdbccaaa
+dddadcdcccaaaddaccbcabcbbadcdaddaadcdbcdabaabdcbcaccbbcddaacbbdcdcacbaddcadbabbdcacdacccbcd
+daaaddaddcdcdbbdadccabcdbdcdadabcdbbddcbddaacbaaabbabdcddaacbbaadbacddaa
+bdbdddaaadccbbccbbbabccdbbdcddacdccaadbabbcbacbbdbbbcbbbadaacdbdadcbdacbbadbdbdcccacbabbaacda
+cbaccbdbababdaaddbdcccdacabcab
+bababadddcdabdabcdccaacaccacddbdacddccdcbdddabadabdadbabaacbabd
+dadbdbbdbdaadbbdbddabdaddadcdddbcacdbbcbdcabbbabddcbcdcbbaddcdcadcdcddcabccacaaddabdaaddadd
+caaaaaaabccbab
+bacdadbdbbdcaabdcbdcaccbacba
+abdbbbbddabadabbcbcdabaddbdbadbdaadbdaaadcbbbdbdcdabacabccdbabdaabddbcdab
+aaadbadadddbddbcdcdcaadabcbdddddbbbbadbaabdbabcbacbdbcacbcbddcdbdcadcdbbcabadadb
+babcabcbdabccdcaaacbabccabbcddbcdbbddabddbcccbaddccaadccaacc
+caadbadbddbcbbcb
+bdbcbbdbacadaccbcaabcbabcadadc
+bcbdabdbbdabcbacaddadcbabaccddaaaabcacddaccaadbbcbdcbabcdadcadbcddcbacbbccbdcdabc
+bdbaccdbbcacabdddcc
+bdcdabcabbdabcababdccd
+bccdccbcbcaaccdcdbccddbbaabcbddabbbacdcadbdaccdaabababcdcbcb
+dccbddcbcdaabdcdacabcacdbdaacbabbadadccbcacdabcdbbadcbdbacdaadcdddacacddadcadacddcbcbbadbcadcaaa
+aadcdbbaddcaccddbbcddacccaccbdddbbaaadbcbbdaccadacbdcadddbdccbbadbcbcdabdbdbcdbdcbbacccdabcd
+dabdbccddbacdcdddcbdccddbaaaddcbbbcdcbcbdbcdcacbcbabbcaaacbcdcccbaaccbddcbcdbabdadccdabddbccca
+cbaabacdaaacbadaadbdcbccddbdbdcdbcbabddccacdddccacbbaabdaacacb
+cbbacbbdaaabdcaababbdcdbcbddaadccbcadaabdbdacbabdccccaadacaadccccca
+dcbbaabaddbcbabaabadaaccc
+dcbdcdcbbcdbcaccdcaadcbbdbbaaaccdbacabcccdadbbabbaabbdddabcaccacabdbdabccadaabdbbaabdaadcbdbd
+ccbadabacdcadbbbadabb
+bbbabcaddbaababdccdbcacbdcaababdc
+bdcddccbaccbbcadadabaabadcccdcacadbd
+daababaadbbbbcbcbddcbaacdcbabcbaacbcbdcbcacbcdcaaccbcaadaccabdcbc
+dbbadcdabccdddddbdacbbdcbcdaddabbabad
+babaddaddbcabbadbcdacaddbcabcddcdabddbbdaabacddadbdaadaabbcdbcbcbadaabcbdadbbaca
+ddbdbdcacdcaaaadddbdcddbcdbdccbacccbdbcdcddbccdabdadaccbdbadbdbcdbbadbbddaacdabadadbcdccbaabbaaddaabdbabdc
+bccadcdbccdadcdddcbcdacdcadcbdbbcadbdcacbbdcbcdadaccbdbccadccaaadabdaacddacaabcdabaaddadbbdccaaa
+caddddbcccbcadbbddcaddcaddacdcdadaadcbaddccbbacddabaccccdbcdddbdababaaaca
+dcaccdacabdbabdbcadbdccadbabcdadadddbacbcccbacddcbacaacadcaadddb
+bddabadacddbbacbccabcbdcdcacacbabbcbbdccabbdbacddaaabbcdcaddbabaabcadccddbcbdadaabaaaababcabadaaccddad
+cccdcabccbdcacccddabaddabdbaabbabcdcddacbbcbbacdbddbddbadbddccbaacccadbbccbba
+dddaaaccdadbbabcccacabbbddadbcdabddabccccdccabdadabababddccdaabacdcccbbcdabccbbdaadcc
+daadcdcbcdcadabddbadaacdaddbdccadaadccddbdabbdbccabbcddccdccdbdbacdbabbdaccadacbabc
+dbaaccbddcdddaaad
+dddcddccbcc
+dbcabccadaddaba
+abacbbbdcddabbcabbaac
+accabcabbcaabdcdabbbacaccbdbdcbcabdacdcabdcbbaccccabdbbcbbabacabdbcddbbbdbabdacbaacbcbdcabbcbbabcbbbdc
+bdadcddddadcddccaacdcdbbdaacbddabacbabadbcdddbcbcacacddcdcdd
+bacacdccdaddadabddacaabadacbcadbbcbdccccdadaadddadacdacdadbdcbacacddbadadbacaddcdbbabdcaaddadbcbcddbcbcaabcda
+bbbbdbbbddcaabbbcaabbbbdbcdbbdbabdbbaabccdaacdbbacbbaacdaaccddbdcbbaabdbdbbdd
+ddbacdddaacabddbcdadcbbababbbcbbaadadddbddaaddbddaacbdccccbdbb
+daaacbcbadbbcbadddcccabdabbaccdaabcbcdccdadbcaaa
+cbbaadddabddbadcadadbbbbdbadabdbdaabaadbcd
+ccddbbaaddcbbabdddadbcbdccabadad
+dbdddbbcccddddbbbdddaabcadbbcbbaad
+dadcbbdccbcacabcaddbdbdbadcdacaaabdcadcaddaacabcadadabdcdbdcbadcac
+cdadddaabbbdccbdabbacdabccdbadbacdc
+daadacabcabdbcbbcadadcacacdabcdaaacdccacabadbbbbbdcacccaddbacbaaddd
+accccdccbcabcdd
+acaadcabbcdbaddccdbbccbccadaadaad
+cadacddacaadabcdcdaccdbbcdcccddabdcabbcadcaddadacbdcbdcdbdbaacccaaabddcabccdadcdcdcbcbcbdccab
+adccddbccdcacbaaabccbabbdddbadbcccbdbd
+ddbbadcaaabacbabcaaddcadadabdbaacdbaddccbbccacbddcccddcaccdbabdacabbbcd
+aaadcbbbdddddcaccdddcdabddabbbdcaddaccbaabbbadaaadabcabaadababccaabbcaabbccacabbaaccbcdcbcdbdccacaaccccbaccdb
+adadaaccabdbaaccadaacbcbabdabddcbcbabdccabdbbcccbdbdbbda
+cabbccdbccacdccabdbbddcbacacddcadaccdcbbaddbacdcddbcbcdcabddcacaaadccbbadbdbadaabdcddbadabdcdadaadbcbcd
+dacccaababbcbcbacdbabbcbcddacbadaaadcaadbdbbcdccabcbaddbabcdccbbaccaadabcbdadabcbdaaaacdd
+ddbaadacddccdcaacbbdcbdcbbbcbcccabdbddcb
+abaddcdbcdaadbacdbbacbaccccddcbaadabddcdacacdccdbacbdabdcbcabbaddbdcadbccdbbacbddcd
+adbacdcacbcbdbccbddbccbcddcdcbdacbcdaadcdddadabbbbbacabdc
+addccbbdaaabdadbdccbaddcdacbbadaaccdbcbdadbdbabaabcdccdabaddadaacdcaddbabbccddbcddaabadaaaca
+ccbaaadccadbddcdaaacdcbcaccacacdcdcdaabbbab
+dadacabcabbabdacccbbdacb
+cbbdacdccacccadaaaadddcbdacdbbadbaccaaaccabcdabccbccbbcbaaabacbadbababb
+dccddbdacababdaabccdbbacddbabcbcddbcccbabadabadadcabaabddbd
+dddaadcacbacabddccacbcaaccaabadacccbccaccdbdbabbdbacdadcabbcacbbccadabccabdcddadbdaadbccabdc
+aaddccdbccbadadcbcacdbcaadabcbdacbbcccadbbd
+ddcacbccaddad
+aabcacbddcabdccdcbdcccdbbbadabbaacacbbabbacdabcdddacccdbcdad
+aadccaaadbabddbcaabdabbbccdbbccdccbcabcacaccdcc
+dbbcacabcccdcacaacbdaadbaaddabbaacccbadbaddb
+ccdccabacdcbacdaddbaddabcbbaddaccdcbbdadcaacbdbdcac
+bddcbccbdbddaddbaadbbbbaaadabacd
+acbaddbdcaaabddcbbdacbbccbacacdbbdaaaabbccdcdbcbdacadaccaaabbdcdb
+adaabcacadacbbadbacdb
+acdabcccbccbaaabbcdbbbcbcdacbbdaddacbabacabbbabadaddddaabcaccddddcddccbbdabbcaaabdcddcbbbbbbcdbaca
+cbacaccadbcccadbaabcdddbbdaabaccbabbcdacbcadaaabcaccbaddbbcdaadacccbaacdcdbbcbbccdcabbd
+aacbbbdcdbdaabdbbabdccdadbcbacdbcdcaaacdacdcdadbdaacbdbadcbbbadbbbdaabcdd
+ccddcdaabbaabbdbdbcdcbbbdbbaca
+dccbabacddbadccbacbbdccdcbddcccadcbddacabcbddccabcaabcbbbcbbbdaaabcbacababbaddbabbcccdccbaddaaba
+dbadcabcabbcbacdaabddcbacdbbabbcbcaddcbddccababccdcadbadadbdcddbaaabaaccabcccbcdbbdaaccacdaabacc
+ddccbcacdadaaccacadbdcddbccaadbabdbbccddaadacd
+acdddabbdcddad
+dbcdadcaddbcbbbaccbdcadcacbcdbbccacdcbcbdcdabbdbacdaaaccdddcadccbbdcdacbabdbcc
+dbaaccdddbcbdbcbbdbadadacbcadaaadacddaba
+dcdacdbdadcbcdabcbcdbbdcddddcbbdcdbadccccccdaabdabbdccaacbcaaacdcbbdaabcddcbccb
+bbdaaccdcababbdacbcdacddccadcaabadddbdbadbcabcbadbaaaaaadadaccadcbdbccaab
+aaccbdacabbbcacdabbcbacaadcdcbdadacbbdccccaaaabdddbcbcbcacccbbcacdaadbcadbaddbadab
+ccbbddbaabbabaacccdbcdbbbcbbbcdcddcbcdbadaadbaddacabddddabcdabbbcbbddcbabaddc
+bbbdbbbddabcadacadcbdadcabbbbadaacdcbcddbbdbccd
+bbbacaddcdaabbddcbdcdbbbcbdacbabbbbbdcacdccddcdabccaccdcadabbbbccbacbcadaadadbcccccab
+bcadcccdbcbadddabacdaac
+ccadccabbadab
+ccdacbdabcbdcaabddaccdbdddcddcdccdaadbbcaadcccbbbbcaabdbbaabbbddcdcaaba
+ddaaadacabbdbbaabbbaadacdcbcabbdaacdcdcdddbbdcdcbabaacadabbacaaddcabaccbcababaccbadbabbcbcadabcba
+babcaccdabaaccacaccacadbbcbcdabccaacbbcbddddcbcbdbabbbcdcaccdbabacacc
+cbbbdaabdabcdadddbabbadaccccdcdcdbdcaadddaacbbcdbaabdacdaccbcbcbaac
+adcdacccdaaddcbccddccdbbcadbcbbaddcbddcbdcbacaaabcaadbabcacbccdaddbbdcdbcabbacadcc
+dadccdbdaaaabcacdabcacabadbacdcabaacbcdddadbcabbddbbacbcadcabaaacaddcdadcbdcbcdcbaccbddcddcbdaccaddd
+daabcbbaacdbdcddbbaacbcbbdabcdbd
+dccbcbbaacbaaaacccbbbbccbabcbaaadabaadbadaabdacccbbcadabacdaddbdc
+aabcaabbdbbdadddabbaccbdccaabccbddbbacbbdbcacdcabddacadadbccbdcabb
+cacbacdabdddbbdcacaaacadbccaabbcabbccbacbcaaadabbdbaddbdacbbbcbbb
+abaabdbbaccacbcadadcabbcbdbcbcdcbddbacaacdaabbcccbacaaacacaaaabccaccbaaccabdcadcbabcabadaaacaadbc
+cbcddabddacdaaaacdbcbdbbabdbbacaddbbbdccdcdddbaacdabdabaadddaadcbbbacbdbdbbcdcdcabcabd
+bddadbadddbcccbbdaacbccbdcbcdddbaaabddaddabbccaddaddbbdacbcacdbadcbabcadddcdbcabbbacbccdddcaaacbc
+abcbdccdbacbdabbdadccdcaabbbddbcbbcbbbccccabdcabbdacbadcddbadacda
+cbdcbbccbdbdadddcdabaacdaabaaaddddabcabdcdcbcabbdbcaaa
+adbbabddccbdbbabacdcbabddaaabcadadabcaccacaaacbadbcaadbbaadaacbcc
+cdbcabddaccdcacadbbacabaadcbaadcddcbbbddddaacaabbcddbaacaabbccbaacbbddbbbcbcabcdabaaadbddccdcdcaabdcadbdd
+abbccbcbcbddbbbccaaadacaaddcdc
+dddcbacdbcacddbacadaaacaddaaacaccbbacddddcdabdbdaadbadcc
+ccadbbcaddcaabddb
+ccbbaddadddaabccababcccccddbabbabdbb
+dbbbddabaadabaccdbabdcdcdcdccabadaabccccbabaaccbaadadaccddcacbbaadabcbbbdaccdbdbdacc
+babccccdaccabbbdcadadbbdacabcdbcd
+bdddcbcbbdadddcdbbbadbcabacbabaacbabacdbacababbbbdbccaacddabaaaaddbbdacddbbdccddababaabccdbdcbcadcaccaadaacbc
+dddadbadaaddcbbcbaacacaccadbcbddcadbccabdacccaaabbabaccddcaddbacdacbdcbbbdadbbaadaadaddbccbcaabddd
+cdcddccbcccdabc
+bdcbabdccdcabdadbcdabbbcabcbcbcccbcdadaacbcdbabbccbabdcccaadadbddbbccbcccbacbabcddbdcdbbacdccdbcddcddbbbbb
+217 13
+cdddbcadadcbcbbdaabcbacccacddcacbcadcaccadbac
+adaddacaadcbaddcaaadcacdd
+baaadadaabbbdcbacbdaabbcbbacdbbbcadbdcbdacadaabdaaadcadbcaacaa
+abddabacdbaacbccadcbddadcadbddbdcbbaadcbaababdbbdaadacdcbbcacbcdda
+bbbdcaaacabdbabbcccbcbdccdadaddddbdcdcdccbbaaaaabdbcadaaadadbcddccd
+cabdcdaababadaccdcccbadadbbbdadccaacacbcadddbccdcdbcbcadaabbdbccccadccabbdac
+cddababbcbaacabbacbcaabaacdddbdaacbddadccadcddbbcacbdacbdddcaa
+dcbcbcacabbabbdbdbabdabbcd
+bdadabbbabdbadbacaaddaabddabdaacac
+cbccbbcbcbdacbddaabbdabadbcccccbabacadbdbcdabbacaaabdadbbaabaadabcadccabbcadbbaabaadadbcd
+cbdbbbcbdcdccbccdddcbacaddaccdbabccbaabcacacacdcabacaacbccdcbca
+acbabddbdbdacdcadbadaacabbdcaaccddbcddcbbadbbaacadcddccaabdbbabcaadbdddcdbdcabddbcdadaddbbdbcbadcbbbcbada
+dcdadbabdbda
+abababcabacbbbbbcdbaddcbdbadbcadabcacddbcdababbdbaadbbdbccdbbdaccbd
+cabadacdbbbdcdbacbacccdcabcd
+daddbbaabbdadbabdcaacdcadcaabddbbcadcdacaddacbcadaadaadddcabbdddacccbbdbdcababcabcddadaccadbdbdc
+cbbdcdcbbcbaccddbcaccadcbdcaaacaccbcababbddbcbdcdacaabbcdaddaababbbdbabbacdbbdbdc
+ddcadabcbcacdbdbdaddbcbcdbdbcbccdacbc
+dbddabccccadacdcabacbbbbcdbbaaddaaaacbccdccdccdbbdadbbbabdbadb
+bbadcbabaabcbdaccddcbbcabdcdcdadadaabdbccdbccdababccbcacdacbcbcadacabccbdcccacbcbbdcbdbbddddcabddcbad
+bbcdddbdcaadaadcbcbadcacbbcdadaaaddcabbac
+bbbadccaacabacaadabcdaadbbccddcadcabbdacaaabbbbccacccdddb
+abadbbcbcabcadddbdcbcadcddddcdadaacbddddbaddaaddacbdbcbcadaabcbadbdcbcdacbcdcbcccabdadabddbbcdbb
+dbaaadbcccbcbddacdabaccdcdbccccbdcadcdccbdcacdbddaddabbcabddcaaaccbbadbcba
+acadbabadadcbadbcdbddddacdababcdccdabbbddddcabcabaddccadaccaaabccaadadacabdadbabbbd
+aacdbcddabdcaacbbdccdbbaaddcbabddbdabbaaabdabaddadaddd
+adcdcccdadbbbbbbadabaaaabcdcdac
+dbdbdcdaacddccbbdbabdaaacbcaccdbbaabbcdcdabcbabaccdbdabacaacbad
+adaacabddaddddbacdccdcdbcaaddcdadbcacdcaacabcababdcbccacacaadccbcacdbbacdaacbbdaacdcbcccbbcbacbdbcacbcdddb
+bdaaaabbcdcccccddbbcbadbacabddccacdabadaccddadbaabcadadddbdcadcabaacababcdcdccbaaadbacbcaccbacddab
+bdabcdabbadbdcccdbacbacdbcdbbaaabacdaacbdddcdadadddabcdcbb
+adcbabbbbddccacabbcd
+bbcbcdadabcaccaacdbadcbccaacdbbbcadbdaddbabcbdcabacacacbdadaabcacccaccbacaccaaacbadacbcabddbabddd
+ddcbbacbcddcdaaccadaba
+abccdbdccaadcbacdccbbaddcadcdddddcacadadabcdabbcdcbcddbdccddabbcacdabbdcd
+aababbabbdcdcacbdbbcbcacdbbbcbbddbdcbaadcbcbcdddacdbaaddcbacadabacbbdcbaddbcb
+caccaabccdcbcdcccbdadadcdccad
+dbbcdbcaabddbaaacaacdadaabcbbcdadaabccbbbbccbaddadcadbadbdddacdadcdaccdacbabdabaaabbbaccbbbccaacacc
+aacbabbbbcbddaaaabcdbabaddcbbdbdabbbcdcdccadbcaacdbbdbbcccbbcbdaaacbadabdacddcbcaddb
+bdabaababadabdcaaacdabbcdcabadadbcdbcd
+adcdcdcacaabcdbaacadbbcaaabdcbadccaddabbcdccdbacbdcdddccbaccddd
+dadbbbadaacabcd
+ccbbcacbccadabcdccbaabbdccbcdccccdaacbcbbddccbbaccccdbccdbccbdaccbaddaabadbbdc
+adabdcdabdddbdddcabdbddcdbacbbcdbbacaabaaabbcbcbcbabcddabcddacbcacabcaababcc
+cddbbbadcbccabaaaabcababaaacdcbdbaaacdaadddaddbbccdccdcaacddbacbcdcbdccbbacdacaaaddabadbadaaca
+bccbacdadbada
+aaabaabcaaddddbdbcdcaacaba
+cdbbcbcccbbbccbdaacccadcaddbaabbacbdbcadddadacacddacbdddbdcdcbcabb
+adcbccccbdadadbddbaccbbbacbcbbccccbbcababcaababbaababcddbadcabdbdabdbbbdbcdaacdbc
+acccacbbbbcdcbbbcacaaadddcadcddaaadbcdabcbaadaabcadbb
+adadaaacabccddabacaddaaabccbdadacaaaadcbdbbcacddacabcabcbaccabdcaaccbaadaacbcbbcabadbdbbbbdacc
+aacadcabdadcaddaccdcbabdaadadbddcbcbddcdcaadccadacbbabdaabda
+dbaadbacabdbaabbadababbdabdbbcdacdcaaaaadabdcda
+dbccdadccabbadddbdaccaccaaadda
+daccccaadaddcbbadbadbcbd
+dabcabddcdbadacbbbda
+adcaaaacbdbcddcdbcadabcacdbdbbbccccccb
+adababcdccbaadddcbbdbbbddcdbbddbdabdbbcbcaddcaabcaacbcbacadadbddaabcdccddcab
+dccaccbbacccaadaddccbcbdaabaadadbcadabacdccdddbaba
+aadabcaabdabaaaddacbccbaacaddaadbbbbaabdcabdcdaabadaddcbdaadccaacdddddbdcabaccaabcaadbcdadccacabbcacdabacbddc
+bdddcdccacdcccdadbddbcadacbcdadcbbaaddbcccccadbacdcbdbbacca
+abbcadbadcadadbdddacaababaaacdbbddbacbbdccdccbdcdabaaaabdcdcdcbbadcddccbbc
+abbacacbbaadaddcaacaccdbbbbcdadbabaabdbababbbadadccbcbb
+adbccbbbccddadacdcddbcdcbbbbacdabcaadacacdbcabbcabccbbdbcacdaadccacaadbabadbdcbbbdcbdcabcadacdacadddcdcdddc
+bdcdcacdcaddcabacacdbddacddababdcccbcbbcacdbb
+abacbcdacddbddbabcadddcacabadccbdadaa
+abbbdddccccabcabd
+aabdddccbcccacdacccdabdaaacadbcacbcdbdcddd
+bbdabccccaadbbadbaabdbaabbdcbabbbcabddabdccbcadbadcdadccabbadccdcbdabc
+aacdbbbbbdbddadbcbdabacbbdcdcadcacacccdaacbddadabdddadbaadaaaddacadd
+acbdcbbcccd
+dddaddcbcabccdddbacabaaaaaabcbaccbbdadcbccaabcbbbabbcdbaccbacadaacccccbac
+dcccdcadda
+abbdbcbcaccbcabbbbcacab
+ccbbccbbaacddaccbcadacadbadcabdaaccbddbdbcccacdcdaabacbcdadaaddbbbaadabacddaddcb
+aaadccdbdbcbdaacaacdaccddcdaaddbacaadaccdaaadccadaaacaaddbdcccdddcdbaddcdcdaacabaad
+abadddacdcddbbbdddbcaddbacdcabbbbccbadcbbdccbadccadbbbdbddbbcbcbdcdccddccabdaddddddaadcdaabcabccdabcbd
+cbcacbccaacadcdcdcdaddcdddcdabbbbddccbdbadbcadbdacddcccadcbdadadcdcccdaccacdcccccadbdacadbacbadbddddbddd
+bbcbdaacaaabddabadabdaaccabbbbadabaabbdbbdbdadaadacadcbbcddaadadaccddbb
+adddaabaaddaacacdbcabdcaddbcadaddbbaddaccdaaadbbcbccdbddacbcdacdddbaadacacbaabcaaabbc
+addabdcdcbaacccdcbcbabadadcabdbbddddcbbdbbcacbdcdbaabbbaccadbcdddabbadcaabaddcbcbcbdbaaadccdaaacddadabdbcdcbd
+bcaddcbbddbcdaaabcbcadabcdcabdcccbdabdaccccbbddcbaaddcddbcacda
+cdcacbdaabdbccbbccbbcdacbcbb
+ccccaadacbccdddbbbbdbccbbcbdadccadbabbbbcb
+cbcbadbaccbcdadccaccacbdcbacdbdccabadcbdcb
+addbcdbdaaaaccccdccddddbddbcdc
+dcdcccbbbbaacdcabadbcadccbabdcdbccabcbdbaddba
+bbbddcbccbdbbbdbbaaddccaccbaa
+cbacdcbdabcdcbaaabbabdcdbbbbabbddbdbacdbcbddacadcbbbdbbacadba
+cdaddacaaaaccaadabbbaaadadadcdccdddccdccbbaabbacbbcdcbddcaacbd
+ccdcdbdacacacaabdcdcbdbdccdbcccbacdddbbaadddaaddacdcdabbddbddaddbbbdb
+adaadabcdbcdbdcdbbddababbdcaaddbdabdabcaacbdcbdbcdaccddbbabbadaabdbcaadcdbbbaabab
+cbdcbccaccdadbaabadbdbdcc
+bdddcddcdddcbcbbacbccdbabcdcaacccbbabcadcacb
+caacadcbdbddadccadcbbacbacbababdcadbcaababaccdbbcbcaabbcdaddcbadcbdbddccaabcbcbadacabcabdcadbabccacaaccadcdd
+dddbdbdcadcababacbdcdddadaddbdbbcbacdccddbadcbbabcabbdcbadcbdbcaadbcdbcaccbdbdbddbcad
+cabdabdcdcbcbdaacdbcdabccdcbcdcbcdddbbbbccabdaabcbdaadbdacbabcacaadccbbdaabccdabbbdcccbd
+ccbabdcdcaccacbcdbcbcbdcbddadaacbabccabbbdadbdbddddddcccbcbadcdbabc
+bccddaacdcababddcbcddbbbadadbbbcaccabccacadaaabdddaacccdabbadbcabababdabaacacdcadaaacdcdba
+cdbabddaadccbbbcdcdbaddcaadbbcdbdaacdbccddabaddb
+bdddabaaabbadbddadbacbddccbcbdcadabdccbacdbdcadccaaaccdadddcdbdbbcadadcdacccdddcababdadbcaaacdcbd
+dbcdbccbabddaad
+aadbdbbdabadabbdddaadbbcdcdbcbbddccdaacbbdcbcabcc
+ddaabbdbddacdacaadbbcbcbcdbbcddddbddaadbabddcdcbbbaadcbbabdabcdaaadcbbaabcbdabcbdadaaabcbcdcdcbacccadcadc
+dbadabdcddbbbbacdddaabbdbcddddddbbacbbbccddadbcaabacadcbbbabbd
+dabbaacacaccbbacbccaadccccbabcaaaddbcdddcacacaccbaaabbdbdbccdbbbbbbacaadabcaadbacbaacababdb
+aadcaacdcbcbca
+dacadbddccabdbdbadbdcdcbdadccbaddbdbdb
+aabbaaaadddcccabbccdcdadabcadbabbddaacbcdcbcdadcdaddadbdbbcacbbacdbcdca
+dcbbdbbcddcdcacbbaaddcbaabbdddcccacbcbcdcdaadddbcadccbdddaacbdca
+bbcbabaddcaacbaadbcccaac
+ddacdbdcbcdbacccdcadabbabbbddadbabcdcabdbddaadcbdaaadcbb
+daddccdbabaaaccadcddabaccdcaddddac
+abacbcbcccdadaabdddcbbdcaadaddcdbcddaccbccabbddcddbdadbadaabaccadbcdbacaadbbbdabbadcaddabb
+cabdcbdcdcacbcbaccaaabaddacbaaadcddabadaaacdcddcaabdaccdacabbdcdbbacbdabcdaccacabdbddbdb
+ddaabbbccdacbabacacabb
+cddadbbdaddacbdacdbdacbacccdaabbb
+adcaaacaddaadddbddcccadcabbc
+acbcbccbdbaabccbcdcabdaddccbbabdac
+abcdadaadacadddddccbabadccd
+ddbbcadbcdbdbaaaccacdabacbdbdcadcbadccbcbbdaaacbddbdaabbaaaddcddd
+bcbcccccbabcbddbdaddadd
+cdbbcdabaccbddbcdbadacaaacdbbccddbddaaada
+bacddcbccbddbadcbdd
+dcdaaadaccbbdcdbdacabbbaddccdcdbdabaabbcacbadbbaadcadbabdbcdabcdbccacadddbaddbaddbdbcddbbacddaadbbccbbccbccda
+aadaabdabdbbcabccda
+adbcdbcabddbbadddcddccbac
+dbbacbcdabcdddccccccbbdaacddcdacddbcccbbbcbacaddabdadadcaddbaddcdbcbccaaabdccbcbbcabcbd
+cbabcadaaaddddbddbdaccdbacabadddcaabcabaddcbbcacacdbcddbdbdbabbccdcbbddddbabbabbabdbbaddc
+dbccdabbabdbdccababbbcdcaababbdabddbacbccddcddddcbcbdc
+dadabaaabadccbbabaadcabbaadddcccbbcbdbaacbb
+aaabaacdaaaaabcdbcddbdcbcacacbbaacdadcaaacddddaabc
+dbdbbcabbcbabbddddbcdacb
+dacacdbdcdccdbdcaddbcdacbddbadaaaabdccdaadcdaadcbbaabacccacbcabdccddababbdaaacdbabadac
+cbadbcadcaadbddcacdabcbcccdbabdbddadadcccd
+dababcccbcbbadbccaccdbacbdaccabdcaaaddaccabdddcbdbaaaadddcbacaccdcdcbccdcdadabcacaacabdcdcda
+cddddbdabbbccdbbabddcccbdbabcacbdbbabddcddcbcbbbd
+adbdcadcdabcbabccdbbbbaddcbdbccdbbdacbbbaccddcbcabaabcbacbadacccbcccbdaadabaaddbcdaaabcdcdccbba
+abddddbcdddadcabaadcddaacbbabbccdddabdbbdaccbcdaaabdbdddccbcaadbcaabdbbaccaddcbcbbbdadbca
+abcdbbdbbcdccbbcadaadbccddbcaabccdbcdcddbdcaacabcdbbcabacccc
+badabbdbcddaaddcccadcbbcabcaaaddcdbcabcdcdccccbdac
+dcaacbccabddacbddacaacbcbdbbbdbcccabdabdd
+bababaabccabadabd
+cdadaccadccacadcddcbdddbcdab
+bbcbadbaddcddddbbabdcccbacbddaacccdacbaabccbacdcacbdcbababcaccbaaababdcddaaddcabbcbdadcacccbdadabbabbbbbaadab
+bcccadbcbbcdcbc
+dcbaaabaaaaadddcabbbbcddacbbdbadacbcbbcdcddcaccdbdcdbaddbcbabbdcdabdadaccccdacdddadcd
+dbdccdcaddcbcacbdacacaabdcdaaccdbbcccdabcabbaccabacbdbabaaddaabdbbdbcdcddaddaaaaadddcabadacacdaabbbbcbacca
+dacdaacbaddcbdbaabbaccccd
+bccbcbdadbdadccdaddadaacddbdddca
+dacabbbaddddbacaacdbdcdaadaacccadbbacdccbbdadadaadaacadbdcbcbdadddbabdcddabadbabd
+ddabcdaddbbadaabdcdbdbcbdababdd
+bbbdcbbbaacabdaccabbdcbcda
+ddacbcdcaaddbadbcaadcaababbacbcacdcacccccccbadcadbaaccbdbddaadbacbbddbbdbcccbabaaabdcbdbbd
+caddcccccaaabbdaccddbcaccaaddcdbadaacaabcbccbddbbdbdbbbbbddaaddcdabaddcaddadcdad
+bcbdbddccbbdbaacbcbbaddbbaccdc
+bacadadbdbddbcdabcdcbbcbdbcdbcccdcdcdacdcbadadcadbacddaabcdcbcacdbbaccaadcdccaaaddadabacabbbd
+adcbcbcaabaaadcbbbdbcbcccdda
+abcabcbabacbaadacbbabccbadaacdddaadbbcabccdcdcdcbcbcccbdbdbbbbabddbadbdadddcacbd
+acccbaaabbddcabbadbcdacadbabcdddaabbacabbcbacbdcacacaaabbdaaaadacbadcacbbbcccaca
+bbdaabbccabadbabddddcbcbcdd
+cacdabbdcdabbbbcacdbbaaacbddcdaddbacddacbccadbcacbdccdddccbdddbadcbabcdccc
+adbaddcddaccbcbabcabccaaadaacbbccabbdadbdcaabaadbabb
+cdbdaabacdcccbdacbadbccadaaacdbcaddbcadcdadacdbbcdaddabaadaacccbbbdcccadaabbbacbcbcaababaabcdcadabcaabbdbba
+bcbddcabbdcdadcd
+cbdabbcdbcabadadcdbdaabbdcabcccbcbbadcccccdadbccdbdccaaddcdddacbbaddcdddadbadcbbaadcdcdc
+dbabacdaaacdbadbbbcdacbcdbdcacbbdabcaaaaabdbdccbcbbdcdcdacddcadcbbccdadcbcacbcacbcdcabcbdcaaabbcccacbb
+cabcdabdcdccbcaccbaaaccdcdadadacaadadbcbdcdadabadbdadcbdddbacbcaccbaddddcbd
+bacbccadbddbcdcaccdd
+cccddcbbcacbacdddcbdbbdccdcabbbcccdbcaaddaccbbbbdcccbaadccdcaadcadaadcbcdbccaabccbad
+adcdccadbcddcacaaaabdddbbdbdcaacdbabcdccbccaccabbcbbddddacacacdbcccbdcabaabbabccabacbaddabcccbbdbbbdcccbdaaa
+dacbcbacadcacaacabcad
+acbbcbdbcbdcddcccbddcaccbbcabbcbabaacdcacbbdccbdddabdccabbcdccaccbababbcbbaaaaabdadbdccbccc
+dadbcddabdcbbcbabcddabdbababdacdbcdbdbccacbbabbccddadacbccbcbccbdacbdccaaddbba
+dcbddbccadbcdcbdbccabbddbbdaadaddadddbdbaadaaabbbcccbbdbdabbcaaadcacbaaa
+abbcddbcaaaadbcdccdccdbccacccadccbdcdbaad
+ccbacccdcabacabddcbccdbcadbadddbcdbdadbdddbbbadbbacdada
+daaacdcbadaddaccdbbabcabddbcbacbcda
+baddcddbaddaccdcdabddaabbcbcaadcccbcdbcbccdbddbccabdbadbbbaaacaddaadcaabbbcdcdcaccabccbcbdaaa
+abcdbcdcaabcadcbdbb
+dddddadddbdadbbaabaaacdaddbddbabacbaadcdccbaaaabcadbbaaababdcbaddacaadaabacaacacadbcbdcdadbcdadbb
+adabadbaadbcbdddadbabd
+bbbbacdbddddacacabbdc
+aacdccddcccdaaacacbadbccdcdacaaa
+dbcdddabbaadcacbcdbdcbdcbcaddcbaddbbbbbadabdbdabbabdadbccdcaaaabaddcabcadaadbadbccac
+ddbadcabbddbbabcbcddbbaaccadddcdcdbddababaadbabcbdcacbdddadddacaaaadabbbadcaabcabdbcaaaaaccadbaaddcdcbdcaddab
+cadcbccadaaaabbcbbcddbbadcdcdadacadddcbddabcbbddcdadbbabaacdbbbaccdaddaadcbdaaabdddbccbddbcbbdcbabad
+caaccdacdabcbabaabbacbacbacaaaaacddbddadadabcacdbddcdddabbbdbabddacaddccbbcacccdcac
+abdcbadabcbaddadba
+ccdcbbdaacdbdbccdcadbcbbbbcdbacaaaaaaccddadaadbbcbcddaababbdcdaa
+dabadcadadadccdbdddcbdddbbbbacdbbdaccdbccabbbccbccdabaacdcdadaadddbddaabbbddbaadc
+babbbcbdbcabdadbbdbcbdaabbadabbccbaabdcdaddddaacbbdbacbaaaabcdddabbdbaadccc
+dacdacabddbaabbba
+ddbacccaadcbaabadabbdbcdcaabddbcabbccacdaccaabaaddabcadaadadcaabcaccadbcd
+dbaaaaaddadaccaadbcaadbadbcbdddaddcadbaabdaadaabaddccadadbbaddddbdadb
+dcdaaccaacccbbdcbbadbabdadcadcacabacdcbabdc
+ddabcbdcbdabbcdccbbbccdabaabadbdcddbcabcbcaaaabdcdccaabbcddaaddcdcabbac
+babbdadbccacabbcddadbadbcbbccbdcdacdcbaaddcdc
+bbdcccdaaacadacdbbbaddaabbabcddadbcaadcccccdccdabbaabadcbbdcdcdbcbacdacb
+acdabccccaaabdabddcdbdbdcbaddcdccdacacccbbaddcdbcbd
+aabcdcbcdccacdacccdacdacaccbdbdabcdaabaaabadccacdacccbcabc
+dcccbbddcddbbcabcdbbaacdcbdbaccdab
+ccbbbacddcadcbbbbaacaadcaadcbbdbbbadcabcccacaacaccaddbcadcbbcbbbdbabccbcacccaccbadcadccabacccb
+ddcbabdcadbbcaaaabadcbabaddbcbcbdadabcbccbdbabcbaddbcbcbdbbcccdbcaababbbdcdbbbbbcbacabaddb
+dbacbcdbdadacdbdbdbddadaababbabbabadbbbadbabdcdadabbdcadccacbcbbcacd
+dcdbbcdbaadcbbbbcbdcbabbcbabbba
+abcddbcaaacccaaabcbcabdaca
+cccbdddbbbcbcabbbaadadbcbdcabbdbdaacddccbdabbccadaaaddabccabadcbdcdacbbdabdccaccaadadbbdacccbcdaaccadbb
+daddadbacdcccbabbbbbbadacabaabadbadbbcadacbadacbcdabcbdddabcbdbdbddcaddddccbaadaabdbdbddcdddbaaaaadbdcccbaca
+cabaddccccdacdcacaabcdcc
+bacbacbacbbdbbbdbdbacadabccbbaabccadbacdacacc
+cdaacbbbccaaadabaabbadbbadbcdcacdbaabcbdcaabcbbbccddadbaccdcacaccccdcadabcbbacbacdabbcdcbddaabcbbb
+cabbaaacbdcaaabcddbdcadbbdcddbcbdacdbccabcddccdaaccbbdadbcbcdabccbcdcaadadacddcadccccadbacaaddab
+cacabbbbbabaabccbaabdbcabaccdaadccddbdaddbbaacbbabcbadadcdacbdbdbbbacbbacaabbcccadabbabdbdbabadaacabcdcdc
+dddcccadcdbdaaddcacdbcbdbcbadccddcddcdddaacdadacdacbcdbcbcbdcababcdcbcdacbabcacddb
+aaadbbdccbcadddbcdaabddabdb
+dbdbdbddabddabbdbbdaadacbdbddcd
+118 93
+babababaabaaabababbbaaaababbaaaaababbabbabbabaabbabaaabbbbbbaaabbaabbaa
+abaaabbaaaaabaabaabbbabbabbbabab
+abbabaabaababbaaabbaaaaabaabb
+aabaabaabaabbababbbbaababaaabababaaaaaabaabbabbaaabbbbaaaaabbabaaaababbababbabbabaaabbaabaa
+abaaabbbbbaaabbbaabbbaaaabbbbaabbabbaaabbaaaabbabab
+abbbabbbbbbaabaabbaaaabbbbaaabbbbabbabababbbabbbbbabaaaaaaabbbbbbbabbabaababbabbaabaababaaa
+baaaaababbbaabbbababbaabbbaabbaabbbbabaababbbbbbaabbbababbbbbbbbaabbab
+baabbaaaabaaabaabbaaaabaaabbaaabaaaaabaabbabaaaabbbbabbbaaaabbbbaaabaabaabbbabbbbbbababaaabaa
+bbaaaabaaaa
+baaababbabb
+bababbaababbaaababbbaaabaababaababbaabbbbaaaaabbbaaaa
+aababbabbbabaaaaabbbaaabbbabbbaabaaababababbabbbbababbbaaabababbbbbaaaaaabbaa
+bbaaaaaaabbbbababaabbaabaabbaaaaabbaabaabaaaaaaababbababababbababbbaaaaabbaaaabbabaaaabbababbbbbbbb
+abbbbbabababaaabbababbbababbbbab
+babbbaaabaabbabbbabaabbaabaabaa
+baabbbbbbabaaabbaaaabababaaabaababababbbbbbabaaaaababbbabbbabbaaaaaa
+bbabbabbaabbbbaababbab
+abbabababbaabaaaabbbbbaabbbaaaaabaaaaabaaaaaaababbbbbbbaabaaabbaabbababbbbaabbaababa
+babbabbbabbbaabaaabaaaababbaabbaabbbaabbababbbbabbbbbbaaaabbbbbbaaaabbaabbbbba
+abaaaabbaabbaa
+abbbbbabbbaaaaabaaabbaabbbaabbabbbaaaabaaabaabaaabb
+aaaabbbbbba
+aaaababaaababbbaaababbabbaabababbaaaaaabbabbbaababbbabababbbbaaa
+bbaaabbabaaabaaababbaaa
+abaabbaaaabbaaabbbbbabaabaabbbabbaabbaabbbbaaaaaaabbbabaaa
+abaabaaabaaababbaaaabbaabaabababbaaabbaabaaaabbbbbbaaaaaababaabaabbababbaabbbaaababab
+abbbaaaaababbaabababbbaaababbbababbbaabbaaaaaaba
+babaaabaabbabaaaaabbbbaabbaabbb
+aaabaababbabbbbbbaababbbaaaaaaaabaaaabbbbabbbbbbababbbbabbaabbbbabbaaaaaaabbabbbbbabbababaaabbaaabbaabbbb
+aabbbabbabaaabbaaabbabbaabbbaaaaabbbaabbaaaab
+aababbaaaababaabbbbaabbabaababaabbbabaaababaabbaababbba
+bbabbababaaabbbaabbbbbaaaaaabaabbaabbaaabaabbabbaababbaaab
+abbbbabbbaababbbbbbbabbaaaabaabbbababbbaaab
+aabbbababbbbaabbbbbbabbabbabaaabbaaaabbaaaaaabbbbabbabaaabaaabbbbbbaababbbabbbbbab
+abbbabaabbbbaabbabaabbababbaababababaaaabababbbabaaabbababababbbb
+aaabaabbbaabbbaaaabab
+bbabbaabbbbaabbabbbabb
+baabababbaababbaaaabaaaabababaaaabbbbabababbabaabbbbbaabbbabbbbbbbbabababababaabaaa
+baababbbabbbbbbaabbaabbbbababbbabbbabbabaaba
+abbabaaaabbaabaaaababbaaabaaabbbbaaaabbabaababbbbababbabaaabbabbaabaabbbbaaabbbabaaaabbaaabababaabb
+bbaabbaaababbabbbbabaabaaaabbbabbbbbaaab
+bbaaaaabbbbaababb
+bbbbababbaababaabbababbabbabbbbaababbbabaaaabbababaaabbbaaababaaabaabbaabaaababbaabb
+abaabbbbaaaaaaaababbabbbbbbaaaaaaabbbbbabababbaababbbaabbbabbabaababaabbabaaabaabbbaaaaaa
+aabbabbbba
+babbbbbabbabaaaaababbaabbbbbaaabbaabbbaaabbaaaabbbabbbbaaaabbbaabbaaaaabbbbbbababbbbbaaaabbbababba
+aabaabaabbbabbaabbbbbbbabbbaaab
+baabaaabbaaaabbaabbbbababbbbabbbbabbabbbaababbbabbabbaaababaabaaaabababbaabababaaabba
+bbbaaabababbaabaaaabaaabbaabaabaaaaabaababbb
+ababababaaaabababbabab
+abbbaaaabbbbabbabaaaabbabbbabbaaabaabbabbabaaaaabbbbaabaaaaabaabaaaabbaabaabbbbbabbabbbbaaababbbaab
+bbaabaabbbbbbabaaaaababaababbbbaaabbbaabbaabbbaaaabbaaaababbaaabbaabaaaaabbbaabaabbaaaaaaabababaaababbbaa
+abaaabbaaabbaabbabaaaaaabaabbbabbbbababababbaaaabbaaabaabaaaaabaaabbbbabaaabbb
+baabaabaabbbbbabaabbbaaaabbbaaaabbbababbaaabaaabbbababababbababbbababaabbaaabbbbabbaaaaabbbbabaaabaabbaab
+baabaaaabbbabbaabaabbabbbbaaaaabaaabbaabbaabababbaabbbababbabbab
+aaaabababaabbaabbaababbaaabbbabbbbabaababbaaabbbbbbaaaabbbaabbabbaaaaaabbbaababbbabbbaaabbbbbbaba
+aaaabaabaabbbaaaabaaabaaabaabbbbabb
+babbabbbbabbabaabab
+aaabbbababbbabbaabbaabbbbbbbabbbbbbabbbabbaabbbaababbabaaabaabaaaababbbaabbbabaaabbababbbbbaaaabaaababaababba
+aabbbbaabbbababaabaaaaabaaaabbbaabbaabbaababaabaaabaaabbbbaabbaabb
+bbaaabbbbabaaabbaabbbbbbaaabaababaaababaabbbbabbabbabbaabbbbabaaaba
+bbabbbaabaabbbbaaabbbbbabbabbbbbbbaaababbabbaaabbaabaaaabbabbabbabbbbabbabbbabbabaabbab
+baabbabbbbbbbabbabbbaabbbbbabaaabbabbbbaabbababbaabbabababbbbbaaaabbaaaabbbbbaaabb
+aaabbababaabbaaaab
+bbbababbabbbbbbbbabaaabbabaabbaaaabbbabaabbba
+aabbaabbbaaabbbbbaabbbaabaaaabaaabaaabaaabbbbaaaababababba
+bbbbbabbaaabbbaabaaaabbaaaabaaaaabbbbbbaaaabaaabbaabbaaaa
+aabbaabbbaabbbaaababaaaabbbbbabaaabbaabaabbbbbbaabbaaaaaababaabaabbbabaaabaabbbbaaaaabbababaabbb
+aabbbaaabbbbabbbabbbbabaaaaababbabbaaababbaaaabaaabbabaaabaabbbabaaabbaabababbaabababbbbabaab
+babaaabbababbabbbbbbabbabababaabbabbbaaaabaabbbaaaaabaabaabbbbaabaabbbbbaabaabbbababbbbaababbaaabb
+baaabaababbababbaababbbbbbbbbaabbababaabaab
+aabbababaaabbabbaabbaabbabbababa
+abbaaaaabbbabaabaaaabbabbbbbbbabbaaaaabbaaabbbababbbbabaaaaaaaabaabbbabbba
+bbbabaabbbabbbaabaaababababbaaa
+bbbabbaabbaababbabbaabbbaaaaaaabbb
+babaababaaabaabaababbabababbabababba
+baabaabbbbbaaaaababbabbbbaaaaaaaaabaaaaaabbababa
+bbabbabbababab
+babaaabbbaabbbbabaabaaaabbaabbbaaabbababaaabbbaaabbbbbababababbabbbaaabbbbaababb
+baabbbbabaabbaaababaabaabbaaaaabbabaaabaab
+bbabbabaaab
+baababbababaaabbbaabaaaaaaaaabbbbbaaaababbabbbbbabababababbaabbabbaaab
+bababaaabbbbbaabbbbabbabbbbabaaaaaaabbababbbaabaab
+abababbabababaaaabaabaabaabbaaaababbaa
+abaabbabbbabaaabaaaabbaaaaabaaabbabbbaaabbababbababbaaabbaabbaabbbbbbbbbbbaababaaabbaaabaaaaabbabbbaabbb
+ababbabbaabbbbabbbbbbaaabbaaaababababbbbbababaabaabaabaaaabaaabaababaabbbabbaaaabaababbab
+abbbabbabbabaabbabaaabbaababbabbaabbbaabaabbbababaaaabaaaaaaabb
+abbbaabaaaaabbbabbabbaabba
+aabaabaaaaabbbbbbbabbbbbaabaa
+abaaabbbbabbbbbbbabbbaaabbaabaabbabbabaaabbbaaababbaaaaaabaaababbabbbabbbbababba
+aaabbbabaabbabbaabbbbbbbbbbbabaabbbbaaabbababbbabbabbaabbaaaaabbab
+baaaabbaabbaabababbbbabbbbbbabaababaaabbbaabbababbbaaaaaabbbababbbabbbbbbaabababababbaaabaaababbbbababaabb
+baababaabaabbbbababbaabbbaaaaa
+ababbababaaaaaabaaaaab
+bbbaaababbaaabbbaaabbabaabbaabbbbabbbabbabbababbaaabaabaabbaaaaaabbbbbaababbbb
+babababaaaaaab
+bbabaaaaaabbaababbbbbaaababaaabbbbbababaaabbbbbbababaaabbbbaaaababaabbabaaaabababababaaaba
+baababbaabaaababab
+bbbaaabbababbbbbabbababbbabbbaaababbbbbbbabbabbaabbabbaabbbbaabaabbabbbbbbbbbababbbbbbaaaaababbbaaaaaaababb
+abbaabaaaabaabaabbbbbb
+bababbbaababbababbaabbbaaabbababaaabababbbbbaaaaabbabaaaaabbabaaaabbbaaabbaaaab
+abbabaaabaaabbabbbbaaabbbaabaabbbaaabbbabbbbbabaaaabbbbabbaabbabbabbabbaabbbababbaa
+bbabbbaaaabaa
+babaaabbbbabbabbbabababaaabaaaaabbaabbbbabababaabaababaabbbabbabbabaabbaabbbbaababaabbbbbbbbab
+aabbaabbabaabbbabbaabbbaabaaaaa
+aaabbbaaaababbbbbbabaabaabbaaaabbbbbabab
+aaababbabbbbbbbbabbbaaaaaababbababbbbabbbbbbbbbaaabbbaaaabbbbbbaaaaabbabbaababbabaaabaab
+abbababaaabaaaabaaabaabababbababababbbabbababbaaaabbbaabbbbabaaabababbbababb
+babaabbbabbabbaaaabbaaa
+bbbbaaabababaababaabababbabbabbbbaaaaabbbbbaabababbbaaabbbabbbaaaaabaabbaabaabbbaaabbbbbabbbbaaaababbab
+abbbbaabbbbbbaaababbbbabaabbbbaaabbaaaabbaabbaabbababbba
+bbbaaaaaabaabbbbbbbbabaabbaabbaabaabbbbbbaa
+bbabbbabaababbbbbbababbbbabaaaaabbaaaabbabababbbbaabbbaabbbbaabbaaabaababbaaaabbbbbbaaabababbaaaababab
+abbaabbabaabbbbabaaaabaaa
+abbaababbbbababaabbbbbbbababaaabbbbbaabaabbbabbabaabbaabaaabaabaaabbabba
+babbaababababbbaaabbbaaabababbabbaabaaababaabbababbabbbabbaaabaaaaaaaaaabbaaabaabaabbbaaaabaa
+aaabaaabbbbbaabaabaabbaababaababaabbbbabbabbbbbabaaabbabababbabaabbaaaaabaaaabbabababbbbaabbabbaaaabb
+aaaaaabbabababbbabaabbbbaababaabababbbbbbbbaaabbbbaabaaaaabbbaaaaaaaabababbaaaabaaaaaabaab
+102 39
+abaaabbbaaaaaaabbaaaaabbabbbbbbbaaaaabbaabababababaaabaaabaaa
+baaaaaaabaabbbaaaaaabaaabaabbbaaabbabaaabaababbbbaabaaaabbbaaabababba
+bbbbaaabaabbaaabbbbb
+bbbbaaaaabbaaaabaaabbbbaabaaaababaaabbbbbbabbbbabbbababbaaaabbbbbbabbabbbbbabbbba
+aabbabbaaabbbabaabaaaaaaabaaabbababbabbaababaabbbababaababaaabbaababbbabaaaaababbabababbbbbaaaaa
+abbaabababaaa
+aaabbaabaabaaababbbbbbbaaaabaaabbaaabbbabbbabbababbababbbababaaabaabaaab
+abaaabbaaaaabaaabbaabaabbbbbabbbbabaabbababbbababbbaabbbaaaabbaaaaaaabbabbbbbbbbabbabbaabaaa
+abaabbaaababaababbaaaabba
+bbbaabaabaabbbbbababbbaabababbabababbaaabb
+bbabbaabbbabbaababbabbaabbbbaa
+aabbbbbbbaabbb
+abaabbbbaabbabbaaababbbbaaabaaabbbababbaaabbabaaaaaab
+bbabaaaaaaaababbabbaaaabbababbabaabbbaaaabbbaaababbabaa
+bbababbbaababa
+baaaabaabbbbaa
+bbaabbabbababbbaabaabbbabbbbbbbbbbaaaaaabbbba
+bbbbbbbbaaaba
+bbbababbbaaaaabbaaaabbbabaaabaaaaababbbbbbabababaaaabbbbbbaaaaba
+aaabbaaaababaababbaaababababbababaaabbbbabbabaababbaaabbbbaabbabbabbbababaaaab
+aabbbbabaaabbabbbbaabbabbbababbbbbbaabbabbbaaababaabbaabaabbaabbb
+babaabbbbaaabbbbbbababbbabbbbbbaabbbaaababababaabaabaaabbaabbbbaaababaaaba
+aabbaaaaababaaabbabaaabaaaaaababbbaaabbabababbaaabaabaabaabbbaabbabaaabbbaaabbbaabaabbabbbababbbbbaabb
+bbaabaabaaabbabbaabaababbbbbaaabbabaabaaabbabbbbabbabaabbaaabaababbbbaabaaabbaabaabaa
+bbbabaaabbbabbbaabbbaaabbbaabbaabbbbbababbaabbbbbbaababbaababaaaababbaabbabababbabbabaaabbabbbbaabbb
+bbbabbbabababaa
+babaababaaabbabbbbbbaababbbbabaabbabaabbaaaababba
+ababbbaaababbabbabbbabaaaabbbbaabaaaabbbbababbbbabbbbbbaababbbabbaabbbaabaabbbabbababaababbbbbbbbabbaabbab
+babaabaaabbbbaaababbababbaaababaaabaaaabbabaabbaabbaababbabaaaabbabbbababbbabbaaabba
+abbbbabababbabbabaababbaaaaabbaabaaabababbbaababbabb
+aaaabbaabbbbababbbaabaaaaaaa
+abbbabbaaabbbabbabbbaabbbbbbaababbaaabbbbaabaabababbaaabbbaabbbaaaaaabaaaababaaaaaba
+aababbababaabaaabaabbbaaaaaabbaaaaaaabababbbbbbbabbbaabbb
+aabbabbabbbaabbaaabbaabbbaa
+bbabbbaaabbbbbbbabbbaaababaabbbbbaabaaabbbaabaaabbababbabbbabbbbbaabababababbbabbbbbbbbbabbbaab
+aabbababbbbaabbaabbbbbababbbababaaabbbbabbabbabaabbaabbabaababaabab
+aaababbabaaaabaaaaababaaaaabababbbababbaabbabbaabbaabbaababbaabbabba
+bbabbabbbaaabaaabbbbaababbaaaabaabbabbbbababbbabbbbbabbabbbaaaabaabbabaabbaaaaabbbbaabbabaabbaaaaaa
+aabaaabbba
+babaabbbabaabbbbbaababbbabbbabbaaabaaaababbbbabaaaab
+bbbaaaaaaabbaaaaababbbbbbaababaabbababbaba
+bbbbaababbbabbbbaaababbbabaabbaaabbaaabbaba
+bbbababbabbaabbbababbabaaabbbaaaabaaaaabbbaaabaaaabaababbbaaaaabaabababbbaabbbaaaabbbb
+babaaabaaababaabbabbbbbaabbaaaaabbabaaaaababaabaab
+bbbaaabbabbbabbabbbabababbabaabaabaaabababbbbaabbabbaaaaabbbabbaabbbbbabbbbba
+bbbbbbabababbabbbbbbbbabbbbabababbbbbbaababababaaaaababbbabbbbabaaaabababbaaabababbbbbbbbababaaabababab
+abbaaaaaabbbabaabbaababbabaaabaaabbbbaabbaabbbbbabbbaaaaaababbababbbbabab
+baaabaabbbbbbbabbbaaaaabaa
+bbabaabababaabbabaabaaaaabaaaaabbaaaaababbbabbbabbaaababbabbbabbbbaaabbaaab
+aaabbbabaaaabbabbaaabaaaaaaabbbaaa
+aabbbbbaabbababbbbbaaaabaababbbaabbbbaaabaabb
+abbbaabbaabbabaabb
+baaaaaaabaabbaabbabababaababbaababababbaaaaabbabaaababbbaaaaaaabaaabbbbbabbaabbabaabbaabbbaaabbaaab
+bbaabbbbbbaaababbababaabaaabaaaaaaabbbaaabbaaa
+bbabaaabbbabaaababbbabababbbbabbbbababbbbbbbaababbbaababaabaaabba
+abbabaababab
+bbbaaabbbbababbaaabaaaaaaaaaabbaaaabbbaabbaaaabbaaaaabbaabbbbbbbbaabbbbabbbaabbbaabbbbabbbbaabbbaaabbaaa
+abababbabbbbbbbababaababbaaabbbbbabaabaaaabbaababbabaaaabaaaaababbabbbabbaaaabaabaa
+baababbababbabaabbbbaaaabaababbbb
+bbbbabbbbaaaaaabaaababbbbabababbaabbbaabbaabbbbabb
+abaaaabaabaabbbbabbbaababbaabbbbaabaabbabaaaaaaabbbbbbbbaaaabbaaaabbaaab
+baaaaaabbaaaabaabbbababbaaabaaababbbababbbaababbbbbbaabbabbaabbaabbaabababbbbaab
+aabaaaaabaaabbabbaabbbaabbaabbbaaabaaabbabaaaaabbbaabbbabbabbababbababaababaaaabba
+aabbbbaaababbbbabbaabbaabbabaabbbbbab
+bababbbaabbbabbaaabaabbabbaaaaabbbaabaaabbbbbababbbaaabbbbab
+bbbabaaaabbaaabbaababaaaababaabbbaabaabaaabaabbaaabbbbbababb
+bbbbbabababaabbaabbbbbababbbabbbabaababbbbababbaabbbbbbabbabaabbaabaaabaabbbaaabbabaaaabbaabaaabaaabaaa
+ababbbbbaabbaabbaab
+baabbbababbaabababaabbaabb
+bbbaababaabbbbbabbabaabbabaaabaababaababab
+aababbbaaabbbbbabaaabbbaaabaababaaabbbababaaaaabbbbaabbba
+abababbbbbaaabbbaaaabaabbbaaabbbaaababaaaaabbaababbaabbaaaaababbaabbabbbabbabbbababbbbbabbbbaabaabbaaabaaaa
+aaaaaabbbaabbbbbbaaaabbbbaabbbaaaaabbabababaaaabbaabaa
+ababbaaaababababbbbbbbaabaabbbababaaabababbababbbabbbabbaababbbbbabbaaaabaaabbabbbabab
+aabaabbaaababaaaabaaabbababbbbbaaaabbbaababbbbabbabaaaaaaaaabbbaabbbaabbba
+aabbbabaabbb
+baabbbbabaaababbaaaabaaabbbabbbabababbabbbaabbbababaaaaabbbbaabbbabbabaaabaaaaaaabbabbbbbababbaaa
+bbbabbaabbbbab
+aaabbaabaaabbaaaaabaabaaabbbabaabbbbaaaabaaaaaabaaaabbabaabbaabbbabba
+bbbaaabaaaabbabbbabaabaaaaabaabba
+bbabaaaabababbabbaaaaaabaabbabaaabababaaaaababbbbbbbaababaaaaaaaabbaabbaaa
+aaababbaaabababbaabaabbaabbbbaaa
+bbabbbbbbabbbaabaabbbaabbbabababababbb
+aabababbbbaabbbbabaaaaab
+bbbaabbabbb
+baaaabbbbaaaabbabbbbbbbaaaabaaaabbaaabaabaabbbaaaababbbbaaabbbababb
+aaabababbabbbbbbab
+abaabaaaaabbabaaaabbbabababababaaaabbaabababbbabaaa
+bbabbbaabbbaabbbabaabbaaaaaaaabbbabbbabaaababaaabbababbabaababb
+bbbbaaaaabbabab
+abbabbaaabbaabbaaabaababaaaaabbabbababaabbabaabaab
+bbbbbbaaaaaaabaaaaaaabbbaabaaabaaaaaaaba
+baababababbaaaabbabaaaabbbbabbabaabaabaaababbbaaaababababaabab
+aaaaabaaaabaaaaaabbababbbbabbbbbaabbbaaabababbbbbbbabaaaaaabbaababbbaabaababababaaaaab
+bababbaaabbbbbbbbabbababaaababababaaabbbbabbbababbaaabbabbaabbaababbbbbabbaaaaabbbb
+aabbbbabaaababbabaaabababaabbbaabaabbbbaabaaaabaabababbbabaaaaaaabbaabbbaabaaaabbbbbaaabbbbbbbbbbbaaababbaaa
+bbbbbbaaaab
+baababaaabbaaababbabbbbbbbbbaaabaabbbabbaaabaaabbaabaaabaababaababbbbbaa
+baabaabaababababbbaabbaaababbbba
+babbaaababbaaabbb
+aaaabaaababaaaabbbabbaaaababbbbabbbabababbabaabbaa
+abbbbabbaaaaaaabbbbaaaaaababaaaaabaaabaabba
+205 108
+babbbbbababbaaaabbaaaaabbabaaabbabbbbbbbaabbaaaabbbbbaaaabaabbbabbaaaaabbbabb
+bababbaaaaabbababaababababbbabbbaabbbaaaabababbbbabbbbabbaabaaaaaaabbbbbbbbabaaaabbaabbbbbababbbabb
+bbbbbaabbabbbbabbaabab
+bababbabbbaabbaabbabbbaaaababbabbbababbbabbaababaabaaba
+baaaaaabbbbbbaaabbabbbaababbabbabaabbababaaaababbbbbbaabbbaabbab
+baaaaaabbbbaaabbaaabababbababbbaaabbbabbabbbabababbbbaaabaababbabaabbaabaabbbabaabaaaabaaaababbaabbbaaaa
+baabbbbbbabababbbabaaabbabbabba
+aaabaabbaababbaaaabaababbaabbaabbaaaababbbabbbabbaabaaaababaaabbaaabb
+aabbbbbbbbbabbbababaaaabaaababaababbabababaabbaabaaababaaabbaaaaaaaaabbababaaabbabaaaaabbbaa
+bbaaabbaabbbbbbabbbbabbbaabaaabbbaababaabbabaabbaaabaaaaaabbabaaabaaaaabaabbbababaaabaaabbababa
+bbaaaaabbababaabaaabababbababbabbbaabbabaababbbaa
+abbaaaaabaaabbb
+babaabbaaaabbbaabbabaabbababbbbbaaababbababaabbbabbbbbbabbbbaaabbbbbbaababaaaababbbbbbabb
+bbaababaaababaabaaabbaabbbabaaaabbbbaabbbaaabbbbabbaabbbbbbaabaaabbbabababbabaaabaaaaabbbabaab
+bbaababbabaaaaababbbbabaabbbbbbbaabbaabbbbbbbabbbbaaaabaaa
+aabbbbaabbaabbbbbaaa
+bbaaabaabbaaaaabbababbbaabbbababaabababbbbaaaabaaaababaabababbaaaaaaabaabb
+babbbaaaabababbabababaabaabb
+baaabaaabbbaaabbbababaabbabbbabbbbbbaaaaaabababaabbbbbbaaaaaabbabaabaaaaaaaabb
+baaaaababbaabbabbbbaaabbbbabaabbbbaabaaabaaaabbbaaaabaaabbabbaa
+aaaabbaababaaaabbbb
+aabaabaaabbbbbaaaaabbbbbabbaababaaaabbabbaaaaaabbabab
+aaabbabaababbabbaaaaaabbaaaaaaaabba
+bababbbbbbaaaabbbbaabbabbbaaaabbaabbbabaaabbbaababbbbbbbbbbbabbaaaabbbbbbbbaaabbabbababba
+baaabaabbaaabaaabaaabababbbabaaaabbaababaaaabbabaababababaabaaababaaabbaababaaababbbaaa
+aabaaabababaabbbbabbaabbbbaababbabbbbaabababababbaaaaaaabbbbaabbbabbaa
+ababbaabbaaababbbab
+bbaaababaaabbaaaabaabaaabab
+bbbababbabaabbabbbababbbabbabbbbbababaababbbabababbabaaababaaabbaabbbaaaaaabbbaabbbbbaababaaaabbaaabb
+baabbaabaaaaabbbabaaaabaaaabbaabbbabaaabaaaaabaabbbbabbabaaabaabaabaabbbbabbabbabab
+abaababaabbbbbbbbabbbbabababaaabbabbaabbab
+abbbabaaabaababbaabaabaabaababaaababababbbabbbbbbabaabbaababaaabaaabbaaabbbbaaabaaab
+bbabbbababaaabbabaabbabbabaabaabab
+bbaababbbababbbaaaaaaaaaababbabbbabbbaabababbaabbbbbbababbbabbabbabba
+aabbabbabbbbaa
+bbabbaababaabbbabb
+bbbababaaaaaaabababbabaababbaabbbaababbabbabbaaaaaabbbbbabaaaaabaaababbbbba
+bbbbbaababaabababbbbaabababaaaaaaaabbabababababaaabaabbbbaababbaababbbbabbb
+aabaaabbbbabbababaaabbaaaba
+bbbabbbababbbbbbbabbbbaab
+abbbbabaabbbaabbaababaababbbbabaaaabbbbabbbababaaabababbbabbbbaaababbaabbbb
+aaababbbabbaababaababbababbababbabaaaabbbaababbbabbbbbbaaababbaaaaba
+bbaabbbababbbababaaaabaabbaabbbbaabbbabaabaaaabaaaaaa
+aababbaababaaaabaaabaabbbaabbaabbbaaaa
+aaabbaabaabbbbbbaaaababaababbbababaab
+aaaaaaababbababaababaaaabaaabababbbabbbbabaabaab
+aaabbbabaababbaa
+abbbaaaababbaababbaabbabaabababbbaababbbbaabbbbaabaaaabbaabbbbabbaabaaababaab
+abbaabbbbbbbaabbbabbbabbbbbabbaaaabbababbaaabaaababaaabaaaaaaabaa
+aabbaababbabaaaabaabaaaabbbaaaabbbbbabbabbbbbbabababaabaaabbbbababbaabba
+baaaabbaaaaaaabbaaabaabbbbaaababbbaaaabbabaaba
+bbbabbbabaababbabaaba
+aabaaabbbbabbb
+aaabbbbabaabba
+baabbaaaabbbaaabababbaabbabbbbaaaabababababababaaaabbbabbaaabbbaabbababaabbbaababaab
+abbaaaaaaaabababbbabaababbaababaabbaabbbabbabbaaaaaaaabbbabbabaaabaaabbbbbbbbbababbbaa
+abbaababbbbaaaaaababbabbbbbbbbabbabababbbbabababaabbabaaaaabbaaabbaaabba
+abaaaabbabaabaab
+babbbaabaaaaabaaabbbaaabbbbbaabababaababbbaaa
+abababaaaabababaabaaaabaabbabaaaba
+baababbbbbaabbaababaaaaabbbaaaaaa
+aababaaaaabaabbaabbaaabbbaba
+bbbaabaabbaabbabaaababaaaabbababaabbbababba
+ababbaaababbabababbaaabbbaabbabaaabaabbbbbabaabaababbbbbababbbaaabaabaab
+baaababaaabaaaaabbbbbabbbaaabab
+babaabbbbbbaaabbbabababba
+bbaaaababbbabbaaabbbbaaaababababaabbbabaabaaaababbbbbbababaababbbbaaabbaabbaaabbbbabbbaaabbababab
+abbbbabbbaaabaaaaabababaabaaabba
+aaaaabaaababbbababababaabbabbb
+ababbbabbbaabaababbaaabbababababbbabba
+baaaaababaaabbbaababaababaabaaabbbabbaabbaabbabaaababaabababbbaaabaaaabababbabbbababababaaabbaabaaaba
+bbaabaaaabaaaaaaaabaaabbabaabaaaabbababaabababbabaaaabbabbaaabababaaabaabaabbababbaabbaaabbabbbbaaabbb
+babbbaaabbaababaaaabbbaaabaabbbbaabababbbbbbaaaaaaaaaabaabbbbaaaababbbbbbaaaabaabbbbaabb
+bbbbaaaaba
+bbaabbabbabbabbbaabbbabbaabbbaaaaaaaaaabbababbbabbababbbbab
+babbbabaab
+abaaaabbaaabaaaabbababba
+bbabaaababbaaaabaaaababbbaabaaaabbaabaabababbabbabbaaaaaabbabbbaabbabbababbbab
+bbabbaaabbabaaaabaabbaaabbbbbaaabaaabaaabaabbbbabbbbabbbbaaabaabbababaaabbbbbbabababb
+babaabababababbaaabaaababbaaabbbbbbaabaaaaabbbaaaabaaaabaabbbbabaaabbbbbbbabbaabbbbbbababa
+abababbaaa
+baaaabbaababbbabbbbbbabbabbabbabbabbaaabababbaaabbaaaaaaa
+babaaaaaabbabbaabbbbabbabbbbbabbbbaaba
+bbabaabbababababaabbbaaabbbaaaaaabbaabababbabaabaaaaabaababaabba
+babaaabbbabbbbaaaaababaaabbbbabbbabaabaaaaababbbbbbaaaaababaaaaabababaaabbbbbbbabaaa
+aaabbbbababaaa
+babbabaaabaabaaabbabbbaababbaabbaaababbbababbbaabbabbbbabababaababababaaababbaaababbaaababbabbabbbbabbababbb
+bbabbbabaabbaabaaabbbbbabbabaaababaabababbababaabbabbaabaabaaaababbabbbabbabbbabababa
+abaaabababbbbabbbaabbbbababaababbbbabaabbabaabababbabaaaaabaaabbbababaaaaa
+aaaaabababaababbabaaababbbaaabbaabbabbbbabaaabaabaaaabbbbbbbbaaaa
+abbbaaabbbaaaababbaaabaaaabaabbbababaababbaababbabaa
+bbabbaaababaaabababbbbabaaabbbabbababaabbbbaabbbaabbaaababbbabbbbbbabbbbbabaaababbaaaaabbaaa
+aabbababbbbbababaababaaabbabababbaaabbbaaababbbababbbabbabbbbbbbaabaabaabbbab
+abababbbbabbababbbbabaaaabbbabaaabbaaaaaaaaababbbbaaabbaabbbabaaabbabbaaaba
+abbaaaaabbbaabababaabbbabbabababbabaaaaabbaabbbbbbaabbbbaaababababaabbbbba
+abbabbababbaabbbbabbbbbbbabababbaabbbbbbaaaaabaaaaabbbbabbbbabb
+aabaabaabaaababbbaaaaaabbbbbbaab
+bbbaabbbbabbabaabaaaaaaaababaabaaaabbaabbbaaaababaaabaaabbbababababaabbbbbaaabaabaabaabbaabbabaa
+babbabbaabbababababbaaaabaaabaaabbaabaabbaabbbababababbaaabababbabbbbb
+abaaabbabbababaabbbababbbbabbbaaabbbabbabbaa
+bbbaaaaabaabbbbabbbbababbaababbbbaaaabaabaaaaabbbaababaaaabbbaaabbbbbababaaababb
+abbabaabbaaa
+bbabbbaaabaabbbabbababababbbabbbababaabbbabbaaaaaabbbbaababbbbbabbaabbbbbababbaabbababbbbbaabbababaabbabb
+aaaabbaabbbabbbbababbbbaabbb
+ababbbababbaaababbabbbb
+bababbbbbaabbababaabaababaabbaaaaaaabbaaaabaaaabbaaababaaaabbababaabaaabaabaabbab
+baabaaaabaabaabbabbaababaaabababbbaaabbaabb
+bbabaaabaaababbabaabbbabaababaabbaaabaabbabaaabaaaabbbababaabbababababaab
+aaaaaaabbaabbaba
+aabaaaababbaaaabaaabbabbbbbbaaababaabaaaba
+abbaaabbaaaabaaaaaaaabbabbaabbaabaabbbbaaabbbbbbbabaab
+bbbbbbbaaabbbbbbbbbbbaaabbbbabbaababaaabaabababbaabababa
+abbabbbaabaaaa
+bbbababbbbbbbbabababaaaaaaabab
+abbabbababaabaaaabbaaabbaaaabaaabbbababba
+aaababbbabbaabbaabaabbbababbaabaababbaabababbbbabaaaabbbaaabaaaa
+aababbaabbbbabaaababbaabbaabaaaabababbbbabababbaaabbbbaaaababbaabbba
+abaaababbabbababaaaabbbbba
+abbbbaabbbbabb
+baabbabaaaabbabaabaaababbabaabbbabbbabbbbabbbbbbaabbbaaabbbaabbabaaaabbabbaa
+abaaaabaaababbabbababbbbbbbaabbbbbbaaabbabbababaaabaaabbabaaaabbabbababbbbbbbbabbaaabbaab
+bbbbaaaaabaabaababaaa
+babbaaaabbabbbabbbaabaaaababababbbabaaaaaaaabaaaaaabaababbbbbbaababbabbababbaba
+aabbabbaabbbabbaaaabaabbbabbbbbbbbaabbaabaaaabbbaaabababaababaaaaaa
+bababbbbbaabbabbbbabaabbaaabbaabbbabaababababbabaaabbbabbaaaababaababaaaabbbbbbabababaababaaaabaaaaaabbab
+aaaaabbababababaaabbbbababbbbbbbbaabbabbbbbbb
+aabbbbbbabbabababaabbabbabaabababaaaabbbaabbaaabaaabbbabbaabaabbabaabbabbbbabaabbabaa
+abaabbaabbaaaababbaaaaaababbbabbbbbaabaaaabbbaabbabaabbaaababaaabababbabaabbbabbbabaaaaaaaba
+baabbabababababbbbbbabaabb
+abbbaababbbbbbabaaabbbbbbaaaabbaabbababbabbbaaaaaabbbbabbbabaaababaabbbbbabbbbbbbabaabbaaabbbabaabbbaa
+bbababbbabaabbaabababbaabababaaaababa
+bbbaabaaaabaabbbaaabbaaaaaaababbbaabbbaaaa
+bbbaaababbbbbbabbaaababbbababba
+abbbabababababbbbaaabbbaa
+baaabbaaabaaabbaaabbababbbabaaaaa
+aabaaabaaaabaabbbaabbabaaaaaabbababbbbbabbbbbaabaaababaaabbabbbbbabbabbbab
+bbaabbaabaaaababbabbaabbbabbaabbbaaab
+baaabaaabbaaabbabbaaaaabbaabbbbabbbabbaaabbbaabbbbbbaaabbb
+bbbbababbbaabaababbbbbaaaabbababa
+baaabbabaaaaabbbaaaabbbbba
+babbababbbbabbbbababbb
+baabbbbbbaaababababaabaaabbbbbaabbaabbbababaaabbab
+ababbbabab
+babbabbaaabbabbaabbaaaaaaaabbbaaababbbbbbbbaababbbabaabbbbaabaaabaaaabbbbabbabaaaaaaababbbbbbbabbbbaabbbbbb
+abaabaabbabaaaabbbbaaababaabbaa
+baababbabbababaaaaabbbaa
+abaabaabbabaaabaababbabaaabbbbbaabaaaabbbbabaaaaba
+bbbbabaaabaaabbbababaabbbaaaabbbbabaaabbaabababbbbaaabbbaabbababbbbabbaabbbbaaabbbbabbbbabaaaabaaa
+bbaaabbbbbaabbabbaaaabbaabbbbbbabbaabaaabbbaababbaaabbbbbabaaaab
+bbaaababaaaabbbabbabbbbababbaaabbbbbabaabbbaababbbab
+baaabbaabaaaaabbabbaabbabaabaabbabbbbabbabaababbababaaaabbbaabaabaaababbaaabbbbaaba
+aabbabaaaaabbbbaabaaabaabbabababaaabaaaaabbbaabbbbabaaaaabbabbbabbaaaaababbabbbbaaabaababbbaabbbababaaabbaaa
+baaaaabbaabbabbabbaabbababaaabbabaabaababbaabaaaababbbbbbbbaababbaabbabbaababababbababaaaaaaaa
+ababbbbbbaabaaabbabbaaaabbbabaa
+bbabbabaabaababbbbaabaaaaabaabaabbbbaabaaaabababbbbbbaaaababbbaaabbbabbaaababbaababb
+aaaaabbaabbabaabaaaaabababbabbaaaaababbbaaaaabaaaabbabbabbbbabbaab
+babaabbbbbababbbaababaaaababbbaa
+abaabbbbbbabaabbbaabaabaaaababbbaaaabbaaba
+baaababaabbabababaabbaaabbabaababababbaabaababaabaabaababaaababbb
+bbbaabbbabbbbaaaaababbaabbbbbabbaaababbbbbabbabbbbbaabbbaaabbbbaabbbaaabaabbaaaaabbbbaabaababbabbaba
+bbabaababbbaaaaaabbbaabbabbbbbabbaabaabbabbabbabaaabaabba
+bbabbabbaaaabaababbbbabbaabaaababbabbaabbbabaabbbaaaaabaaaabaabaaaaabaabbbaabbbaabaabaaaa
+ababababbabbabaabaaaaabb
+aabbaaaabaa
+aaaaaaaabaaabbbbabbbaabaaabbbaabba
+bbbababbaabaabaabbbaabbaababaaabbbaabbababbbbbbbaab
+aaaaaaaabbabaababaaabbbaab
+bbbbaabbbabaababaabbabbabbbababbbaaabbbbbabbab
+bbbbbbabbaaabaaababbbbaaaaabbbbaabbbbabaaabbaaababaaaab
+aabaabbbaababaaabaababbbbbbaaabbabbbbbaabababbaaaabbbbbaabaabbaabbabababbaabababbaaaaaabbbbaabababbaabaa
+aabaabbbabaabbbbabbbbbaababbaaaabbbabaabbaaababbbbaaaaaababbbbabbbababaababbabaaaaaabbbbaaabbaaabb
+babaabbbaabbbbbabbaaaababaabbabaababaababaabbabbaaaaabaaabbba
+bbbbababbbabbaaababababbbbababbbbbabaabbbbababbbbbbbaaababbbbababbabbaabaabaabbaaabbbaaaa
+baabbbbbbaaababbbbabaabbabaaababbaaaaabbbabbababababaabbbbaabaaaaabab
+abbbbbbbabbbbabaaabbabbbbbbbabaaabbbaabbbaaabaaaababbaaabbaaababababbbaaaaaabbaaaabbbaababbbaabaabbabbabaaa
+aaaabaabaaabaabbbaabbbabaaaaabaabb
+abaaabaabbabaabaaaaabaaabbbaaaababaabbbaaba
+aabbaaaabaaaabbbababaaaabaaaaabbabbaaaaaababababbaaabbabbaaabbaaaaabbbabaaaabaaaaabababbbabaaba
+abaabbabbbbbabbbbbbbaaaaabbaabbbbaaaabbbbbbbaabbaabbbb
+bbababaaaaabbbabbbaaaabbabbabaaaaabaaababaabbabbababbbaabaaabbb
+abbbbaaabbabaaaaaabbbaaabaaabab
+abaaabbbaaaaaaabbaabbbbbaaaaaabaaaab
+abababbbbaaabbabaaaababbaabbbaabbbaabaabbbbbbaaaaabaaabbaaabbabaabbabaabaaaabbaabaababababbaabbababababa
+abababbbbabaaaabaaaaabaaabaaabbabaabbaaababbbaababababaabbbaabbba
+aaaaaaababaaaaaaaabbbaaabaabbbbababbaaabbaaabaaaabaabbabbbbbbbababaaababbabababbabaaaaaaaaaabaaaa
+abababaabababbbabbaaabaaaaabbbaaaababbaabbababbaabababbbbbabbbbbbaabbaaaabb
+abaababbaabababaabababbaaabababaaaaaabaaabbabbababbbabbbbababaaaaababbabbbbbbbabababaaba
+ababaaababaabaaaabbababbaabbbabbb
+bbbaaaaababaababbbabbabbbaabbaabbbbabababaabaa
+abbbbbbaababbbbaabbbaaabbaabbbabbbbbbbbbbbabbabaabbaaabababaaabaaabb
+abbaaababaaaaabbaaaababbbbbabbbabab
+baaaabaabbbbaabbbbbaaaabbababbabbbbbaaaababbbbbbbbbbaabaaaaababaababbaaaabababaababb
+aaaabaababaabbbabaaaaabaababaabbaabb
+abbababbbbaabaaabbaaaabababababbbabbbbabbaaaabaabaaaabbaaabbaaaabaaba
+baaaaaaabaabbaabbaaababbbbbbababb
+abbabbaaababbbbaabbbaabaabbbaabbbbbbbaaaaaaabba
+abaabababbbbaabbaaba
+baaabbbbabbbbbbbbababbaaabaabbabbbaaaaabaaabbbabbabbaaaababaabaabbbbabbb
+bbbabbaabbaaaabaabbaaaaaabaaaaabaaaaabbbaaaababaaaabbbaaabbbbabbaaaabaaabbbbbbbabaaa
+bbbababaaaabbbbaaaabbba
+bbababbabbbbabbbbaabababaabbbbaabbaabbbbbbbbbbaababababbabbbabaaabaabbabbaabaaaabbabaaaa
+aababaaabaabbbabababaaaaababbbabbbbaabbbbbaaaaabaaabaaaaabababbaabbbaabba
+bbbababbababbaabaaabbbabaaaababaabbaabbbbaabaaaaaabbbbaaaabbabaaabababbabbbbaaabbabaaaaaaba
+aababbbaabbbbabbabbbabaaaaabbbbaabababbaabbabaabaaaabbabbbaaabaabbabbbbaabaabab
+abababaaaaabbabbbb
+126 39
+bbbcbaabbbbaacaaaabbcacaaabbaccabbaacbaabaabcccbbbbaacccbaabbbcbba
+cbaaaabbcbababcbacbcccacabaacaabacacbbcbbbcbbbbcabbbc
+babaaabacbabbcabbccccbabb
+cbbbabaacaaaaaaccbcccabbacccaaaaaaaacaccccbccacccaabaabccaabbacabbacccbbacaccaacbbbabcbaaccbcaccc
+caacacbaccccccbaccacaaaaababcbaaabbbbbbbccbabbabaacacabacaacbbaacccbbcac
+abcacbcbcbcacbaabbcbbbabbaacaaacaaaabbbacbacaabaabccaacababcbbcbbcabbccbbbaaabb
+babcbaaaababbcabbccaacccbaccbacbabca
+ababcbcbabcbabccabaabbbccccccabcbaccabaaabbacabaababccabcabbaabccaaccaabacacbabccabbacbccaabaca
+bbcaacabccbaacbcbaccacbacccaabaccabbbaacaacbacccbbccabbcbbaccccabbcbbabaccacbcacaabbb
+bcaacabbbbacbcccbcabcccbccbccabbaccbaaccbbcbcbbbaccacbccaaabbccbabbacbabcccaac
+cabbcccccabbacacbaabbbbcaaabbcacaacbabbbcbacaabccccbcbcacbbccbbc
+abcbbaccabbccbac
+bcbacccaccbbcbacbbbaabaacaaacbbbcccbaaccccbbcabcacbabbabcbcbcaccbbaaa
+bbcbacabaaabaccb
+bcaaccccccbaabaacbbbcbbcaccbbbacbbacabbccacbbaabbababcccbcacbbabcccbbbbba
+cabbababcbc
+ababbcabcbbbaabccbacbbbaa
+bbbbccabaccbcabcaccaccbabc
+bcbcababccbaaabaabcaacbccbacabccbcacbcbaabcbccccbabacbcbbbacbcaacacaaaababbcabacbabcababbbaacacbccac
+acbabcacacacbbcaccacaacbbacbcbcbcbccbacbaacccbbcabccacbaabbccabcabaaaccbcabbbccaababcbccabcaabcab
+cbabbcbaccbabcaccbbababbbbbbaabccb
+cbbabbaaacabacbcabcbcabacbbbaccccccbaababbccaaabbabaaacccbaccbacbcb
+bcacbccababaccccbcccaaaaabbacaabcbcabcbbcaaaababcabbaaabacabbccbcbbcbaa
+cccccbbcbbacbccaaaaaaaabbaabbbcccb
+abcbccaacccbbacaccccc
+cbacccccaacacaccaabbacaccccaaabaabacccccccbacacccccbabcacbbbbcaaaccabcbaccbbbbca
+cbcccabababbcacaacbacbbacaabababbababbbbbbaaccccccacabcbaaabccabcabcccbaba
+abcbbbbccccaaacababbababcccacbacbcaabcbcbbcbccbaabbcaababbcacbcccaccccabcaaacaaacabaccaaacbacbbaaabbbccacabc
+bbaabbcccccbbaabaccbabbabacbabcbabcaabbcbbcbccacab
+cabaacbacabbbbcbbaaabababcccccabbbbbaccbaaabaaaabbccabbcbbbbaaacbbbccbabbaccaacbacccabcccbaacccca
+babaabccbccbcccacbccabcccbaaccbacbabcbacbbcbcacbbabbbcbaacbc
+cccacacbbccbacbaaabaaababbbabcccacbbabbaaba
+baaaccbbcbbaabbcbcbccaabcbbcaaabcabcbababccbbabccbbaacbabaacacbcaacbabcccbacc
+bbccaccccccbabbbccabbbbbaacbcabcaccacbbbbccbbbacbaaccbab
+baacaacbccbacbaacccacccbcaacbabbabcbcabcaabcccbcbac
+aaaccccaaabcacabaaacbbb
+ccaccabccbcbaabccabcbcbaacbbaaaacaabcbacacccccaaccbacca
+abaabccccaccaccbbabcccacbacaacbaababacaabbabcbbbbabcbacaccbaaacabbababcaccaabbaabcbaaaacbbbcbbbbacb
+cbccabbccacbabcbacbbcaaaacbacbcbbb
+cbcbcabaacacaaacbacaaccabbabbbacccbbbcbaccccbbcbbabcacabcabac
+bbaacabcaabccaabacaaacababcaccbcacbaa
+cbcaccacbaccccacaaaaacbbbbbbbaacca
+accbaabaaaaacabbbcbbcbaabcacbcbbbacbcaccbababcbbbaaabcbccc
+ccacaabbcacbaabbbbaaacbbacbacaaccaacccaccabbaccacaaccaacbbbbababacaabcba
+ccaaccaaaccbcabcccbccccbcbbcbbacbcaccbbabcbbbaaccacbbbccaabaaaccacaccccaaaacbbaaac
+bcabaabacaabcbabacccbacbacccbcbaabbbababccccbaabaacaabbcbcabcaaccbcccc
+cbcccbaabcabccbcacabbab
+bbbcbaccaacbbabcbbccbabcaabbbabcabbab
+bcaabacbcccabacbcaaacabcacaabbabacaaababbbabbacbbaccbbabcaabaabcbcbacaccbc
+cbbacabccbcabccbaacbcccbcbccaaaccabacaccbaaabacabbcbaacabcaabcaccbbbabbcccaaaabbbc
+aaabbaabbc
+ccabcccacbbabbbbbbccc
+bbbacacccacbaacbccc
+baabcaaaccbccbaabcbbcababc
+abcabccccbbcccbbbabcacacbabcacaccbabcaaaabacaacaccbabcbacaccbbbaacbb
+babbbacacbabacaacbcbbccabcbbcbabcbacbaabbcbbcaabccaaabcb
+accbcaccaaaabcacbab
+baabaaaabbbcaababcccbaccacbc
+cbbcccaaabacabaacb
+aaaabacaabaaacacbcaccbbbbaabbbabaacbccaccbaccbabbbcbbbcaaccaccccaaaccaacccbbbabcbbbcaccabbcacbcbcab
+cacaaacccababbacabccbbcabbaaccbabbbbcaabbccbc
+acaabbabcbbccccbbabcaacac
+cacaccbaabcbcbbabbbabababaaaaabbababccabbacbcbccbaacacbaccbaab
+babacbcbccabbacbcbcaababbabbaaacbaabccbcbbacacaabcaabcaaccbbcbbabaaccbbcccccabbbacabcaccabcabb
+abbcbaaaacbbbcaabacbbcccacaccbcbacbcb
+ccacbaacaccbccbcbcaca
+ccacbccabccacabccab
+abcbccabbbbcbbbccbccbcabcacaccbabbabcbabcbbbaacaccabbbaccccaacabbacacccabbcaccacbbaaaaac
+baabbacbaccaabbbacbabaaabab
+aabcacbbcaabacbaabcbabaaacababbbcacaaabbcc
+cacaabbccabbbbabccacaaccbabbcacacabbbcbacccbaaabacbaccbaacabacbcacbcccacabbabaababbba
+aabbbabcbabbcbcbabcbaaaacacccacaabcacaccbabcaaaccbcbaaabacaccaacaacaabbaccacbcacbbccccbbccaaabbccacbacc
+cbcbbcbaaabaccbcbcaabbbbbabccbbabcbba
+bcbcbcccacbbbccacbbbccaaaabccacbbccbbaaacabbbbcaacacbbbcbababaaaccccacacbbac
+acabbbcccaacababbababbbbaabbaccccaaaacbbcbbbcacacbacacbcabbbaabcbbbabbcbaaccabbbbcbacabbaaacacbbcaabb
+ccccacbbccccccacbcabbaababaccbcbcbbacacbabbbaaccccccab
+abbcbacacaabccbbccbccaaaaacacabbcbcbcccabcbbcaaacbbcabacabacccacbacaccbccbabbbaabacbcabbabcbbaababccaba
+ccbccccacbccbccbabcccbbacbabbbccacaacaacbcbbcacaacaabccccbaaaabaacaacbccccbcabcaacbabaacccacaabbbacbbcacaa
+accbcbabcbccabab
+bccbbcccacccabbcbabbcaaababaabaacacbaabaaabacbcbaabcaa
+bcaaaccabbccbababcbbcbbbbcaab
+cbaacbabcbcbbbabccccacabca
+bacccababcabbbccccaaaaaaaacbcccaccbbbabccac
+acabbbabaacbaccabbbabbabbcbcbaacbcacabcabbcaacbaabbcccbabcccaabcaaabbbcbacbabbb
+bbcbbaaaaabbcbabacabbabcab
+babbbccaccacccaabbacbcbccccacabaaabccbaccaabcacbcaccabbabbbcaaccabacccbca
+abacbbccbcbbbaabcacacbbccacabcbbacbccbbbacbacbacbcbcbbaccaaacbaccaccacbcbaaabcacaac
+babcccbccaacccbbcbcbccbbbaabbabbbcabccaabbbbccbaab
+cccacbcbacaabccccccabaabacacabbaacbaacbcabccaccbbbabababccbaabbccbaccbacaaaccbaa
+bbaaabbabbccbbaabbccbabcbaccacb
+bbbabccccccbbbccbbcbcbbabaacaccaacccabbccccbcbbaacaacacccbbbacacababbbcabcbaaaacbcc
+ccbbcbcaabaccabaaccbacbbbccbacbaaacbc
+accbcbbcacbaabaaacaaacccccccaccbabb
+ccbbcaabbccabcccbaacbcbabcaaaacbca
+cbacaccaabbbbacbacbbbcbacccbca
+babbbbbacaccacaccbcbbabbccccaabcaabcccaacbbbabccbcaacccaaccababcaabbccaacbabbbbbbaccabccacb
+cabcaabcbaaaaacaacccaaaaabcbcbabcababbcbbcbbcbbaacabaabcbbcbacaacacabccabbcbacabcabcbaabcccacbbac
+bccbaaccabbbabcabaccbacbbbacbcbcabbaaacaaaaaabbbbcbbacbabbaaccbabbbbacaaabacbbbbbbbbabbbbbcbcc
+cbbaabbbcbbccabccbaabcbcbaabcabbcaabaccacacbabbbcccbaaccbacccbbaacabcacccabbababbcabaaccbbca
+cbabacbccbaabbcacabacacccabcbacaccaaacccb
+bcabbbaacaababaaabaacbbacbcabbacbcbacacbccaacbbccaaccbbcacbbbbbabaaabcabcbcbbcbcacaccbaacbcabacbacabccabaaaa
+acaccbbcbbcbbccccbaacabaacacaccaaaababbacabbacbacabccccacaaccbcbcbbacbbaaccabbcbccacacbbccbcaabca
+bacbbbbbccaaabcaabcaacbaccabcbbacbabbcbbbbbccccbbc
+cccbbbbcabbcaccbcbaaaaaccbccbaacaccbbbacacbbaaaabbbccbaaccabbbccccbbcbaccbccbbccacbacccbbcbb
+bbbaacbbbbbcbaaaacbbbbcccaaaacbacccbabbbbaaac
+cbbbcaaaaabbabcbbbcaabccbbbabbcbbbacababbcbacccacbaabbcacccacbbabbaacaccccabcbbabccccbbbbacbbacbcccc
+bacbbaabbabaabcacababccacaccbccacabbcaababcaacbbbacabacabccbaaaabaccabccbcaaaabbbcbbcbbb
+baabccbabbabbbacbaaacbbcbabbcaabccaccacabcccacabacacbbbcbacaaccababcbcabcab
+aacaaabcbbaabbbabb
+bcacabcbbacbacabbbbc
+bcbbcbcabcccababa
+ccbcccbbbbcaccabbbbcbbbaaacbcbbcbabbcbacacbacbbcaabacc
+bcccacbccabbbbaabccabbbbbabaacbbccaacacabccacabaaaaaabbabacccccbccabbbacccacbaabaaabbccbccb
+cacccbbababcabcbacbcbcbcbcccacaaabababbcbbbcaccccbaacccbaabcaabbccabbcacbaababababccccbcacab
+caabbaccbbbabaaabbbbacbccaacccaccc
+abacacccacbcccbcccababacabaca
+abcbcabaaacbaabcabcbcbaabaccbbbacaacbaacaacababbbbcaacaaababccbbbbbacaaaaabbccabbbcbbcaababaccbcaccbcabbccca
+cabcccaacacbabcccbabbabbba
+bcaababaccaacbccbaccbbbbbacabbbbabaacccab
+aaabccbcaabbbaaaccabaacbccbaabbbabcbbbccbbcacccccccacaacabbccaccaabcaccbcbabaaabaaa
+cbaaaaacccbbbaaccccbaabbbcbbbaac
+aaabcbcbbcccbcbbcabcabaaaacb
+cababcbcbbbccaaccccaababcaacabaaaabaabbabcababcbaaccaaabbbbabcbabacbbbaabbacbbcccaacabcaaaababaaccbc
+caccbccbbcbabbbabcacccbaaccbacbbcababbbacacbcabbaaabbcaaccacbbcccbcbabbccc
+babacaaabbcccaabbbccaaaaabbbaacaaacbcacacccaaaacaabcbbcccbcbacbbbccbbabaabbacbaaababbbcccacccbbbacc
+accccabaccbca
+142 115
+aacbaacbcabacaaaccccaacccbcbbbaabcabccabaacbabaabcacbbccbbbaaabcaaabaacbaaaccaccbbcaa
+abcbbbbaaaaaabccbacacabbcacbacaccbbab
+caccaaabcabcccccabcbabbbccabccbabbbcbbcacacccccabaabbcbacaababcaaabcaccbcbbcc
+ccbaaccaabbaccacaabbaaabcbbbccaacbbccbbaacbcbccccaacbaabcccaaa
+bcacaccaaaacbaaacccbaabacacabbacbabaacbabcaaca
+bbbbcabcccbbcbacbbcbaaaacaaabacbbacccaabababaaabbcbccbabacaabaaaaacaccaacbaaaa
+ccbcbbbcabcbaaabaccbabcccbbbbca
+acaacababcbbcbcccbabcabcb
+abacacbaabccaaacacababcacccbcbabccaccabbbacccbbaaabcabbbbaabcbcaaaaaaccccccacbacaaccbabbcaa
+bcccbbaaccbabcbcbabccabaacabaabcacccbbaabcccbaabacbcacbcbaaacbbbaccbbcacbccaac
+bbcccacbbaccbbaacbbcaababccacccaacbaacbabbccbbcaacaccaccaccaabcabacabacbbbcabcaccabcbbccaabbcbbbabbccbbaccbbc
+cacbacaccccacacccacbaabacbaaacbaabccacacabcabbacbacbcbcacbbaabcaccccccabbabcaacaabaabcababbbbccbaa
+bbababcbcccbaab
+cacccbcaabbabcaaabaaaaaabaca
+bcbaccaccbcabbbabcaacbbbababbbbccbcbcaacbaabacaabcaccaccba
+ccbbbbbbabccbbabccaccaaacbcbcbbbccbccaaccbbcabcbbabcbaccccccbccbccbbcabacbcbcccaaacccbbabacaaacabcababbb
+cccabbabacacababaacabaccabacabccbbcbccaaccacaaabbabcbcabaa
+ccbccabbaaaaaacabcaabababaccaccaccaccabaacacbcbacbbcaacaaababaacccccacbaacbabacaacbcccacaababccbaaabcc
+accbccababbcabbbccaabccbaccbaaacabbcbbbcccaaabaabacabacbcabcbabcaac
+acbcbcaabcabbbbacabcbcaabbcacbbcababbabaabacbcabbaaaccbbcabbbbbcab
+ccbacabbbbbccbbbcccccbcaaccaabcbbccbabacbbcacabaababaaabbbaaabbcabbbccabbbcbabbabbabbaaaaccbaccccaaccccbbaabc
+cabbacbbaabbaabbaaacabbbbccbcbcacbbaaababcaacaacaccbbcccccccacccbaaaabbcaabccababbcaabbbaaaabcbbacc
+bcccbbacacaabccaccbbcbbbbbacbcbccbaccbbbccbbcacbbbcabbacaabaccbaabaaaacbaacbaabbbcbabbcabb
+abbccaababccbbaaacbccccaabbaaacbbaaabcacacacbcaaaacabaabccabbcbbaccababbaacbbccabcbaabcbaccabaa
+babcacbacaabbb
+bbbcbcbaacbaabaabbbb
+accbcbccabcbbabaccabbbcbabcbcac
+aabbcbcacacacccbcccbbbccbabaacbbababaaabcabacacbababccacbbaacbacabcbaabbbbccaaacbbbaaac
+bcbcbbcababbbbbbcbbcaaaaccccaaaabbbaacbbcacccbbbca
+abcccabcaabbabacccaccaacabacbcaaacbccabcbcbaccacccc
+bbcbabbaacbcabbcaacacabcbaabaaccbcbbcccabbcaabbbbcccbaabccbcbaababcbcbbbabcb
+bcbcbbaaaccbbacabbcbabcbacccacbababcbaacaacaabacbbbbbacccacabacccbcaabcabbaaab
+babbcccbcbaababababcbccbbcacccbcbaabbcbbcbcabaccbbcacbbcbcababccccbabbbbcaacaabbca
+caabbcccaaaabcacaabacccccaabcbbacccabcabbbbccaaaaacbababcabbcacaabcbbcbbabcccbcabacbb
+babbbbccaacabbcabcbbacabaacbcbbbaaacccbcbbabaabcaabbcbabacaaacbaabcbb
+ccacababcbbacabccccbaccabbbcbaccccbbbabbabccabaaababbababbcaabcaabaaaacccccccabbbbbcbcabbbbbcbbcac
+baaababacbbccccccaacababbcaababcaccabcabcbbccacccacbbacccbbccabbabccbaaccbaccbccacbaccaaacbbca
+acabcbbcabacbaccbabacabacbcb
+cbcaaacaaabbabacbbaccabbaabbabbacccccaaaccaccaccabaabbabbcaaccabcabccbcabbaccaaababbbaaabbbbaabacbbbbba
+accabcbbbabacacacccbbabacbccaaccabbabacacacbccacbcbaacca
+cbaabccacbacabacccaccbabbcacabaaaaaacccaccbaacbbabcabc
+bcacbccbbbbacbbaaabcaaccacaabccaabbcaabcacbcabcbbbcaaaaabaaabbbbacccbccaaaaccbbaabaaabbaaccbaabbb
+bbacaaacbbcaccabbbbbaaaccbcbbcbaabbcabbcaabccbaabbbabaabbaaccbbacaabcbbccabbaaabacbbaaababaacb
+abcabcaabbbababbab
+acbabbcbccabcccbccaa
+bcbccbcaaacccccbacbbaaccbccbbacccbbccabccaccbbacccbbccccbbababcaccbcccabbccaaacba
+babaccbbabbababcaacbaabcaabaacccbbacbccbabbbccbbcabcacaaacaccbbccacbababababaaacacaabbcb
+bbabccaacacccacbbacacbaacaabcacbbcbcbccbacbabcabbcaccaccabbba
+acbacbcabbaaaaacbacaabbccbaaaacacbcaccacaaccabcacaabcbccbcabccb
+aacbabbcbaaabaabcabbbcbbbabbaaaaaacccccbbbaaabbabccbcaabbabaabbbababccbabbccbabccb
+abcabcabbacbabbcccccbbbcabcaaaaccbabcbbababcaaaababacbbbabcbabbabcbbaccaac
+aaacbaaacbcababccbcabacbabbccabaacbaabbbcbaabccbacbcaabcabaacbacabcccbabccbbbbbaaabacbacbbcaabbcabbca
+bbccabbbbcccbaabcbbcccbabcacccccbcaccaacccabcbbabcbababbcbabbabcaaccaaccbaacbcbacbccaaccbaaaacccaabbaccbacbc
+cbabbabcaaacaaccaaabacbaccbcacccbcbaabccbaaac
+bbbbcbabcabaaaabcacbbcbbbbababcccaabcbbcccbbcbac
+acbacbacccbbbcababbbbccccbccacbbccbaccaa
+ccacccacccacbbcbbbcbcabcccacacccbcbcbbabaaaaaabbbababacbbbabbbabaccbbbbaacbbaaacaa
+bbbcbcbabcbabacc
+bbccbcbcaaabcacaabacabbcacaaabbc
+caabcbbacabbacbcccbaaaaabbabcacbbcbbaccabbaacaabbcbcabbcaaabaa
+acbacbbabcbbaccccbcaaacacacbccaaabaaaaaabccbaabcbaaaccbccc
+aacabcbbabaabaaaacbbbabbcccca
+ccbcaccbaaaacabbbbabacbccbaaaabacaaaccbcccbaccbbbcbabcbabbababbabbbbabcbcaacbbccccacaacacccbcaccb
+cbacbaccacbabcbcab
+abaacababaaabcbcccbbababbccbacabacaabccbacaabbccbcbaaacaaaaaaaaacbabbbaaccabcbacbcabbaccaaacccbbbc
+abccacabacacaacbbabaabcbcabcbacbabbaaaaaa
+ccbaccaabcbbbcabc
+bcccabbaaaaabcbccacbbbbabbacbbbbcabaccaa
+cbabbaaabbacbcbbccacaabccbcabbbcabcaaabba
+cabbbccaabbbcbcbacbacaacabcbabccbabbaaaaabbaabcccbbaaacccbbacbc
+aaaacccaaaaabbaabcacbcabaacbacbabbbacabaacacbabbaabcaccbbbaacabcaabbbacbbcbbbabaaabbaacbabaaaaaccac
+bcccabcbbccacbcbbacbacacabaaabcacacabcbabcbcccabcaacabaccc
+bcbbbbcabaaccbbabbbbcababbaaabcbbbcaabcabbbbcabcbabaaaacacbc
+bbaccbbcabccbbaabbbbacbcbaabbaaaabbcabcbaabbaaaaaabcaacccccbbacaabbaacaabaaabaabaacbbabbbc
+caacaabbcbccccbcabcabbabbcbcbccccbbcabbbcbaabbcbbbaaaccbabbbbbcabbcab
+bcbbabbabaabacabbbcabbaccbabcaabcacaccbbcbcacaacacccacaccaccabcbbc
+bbaaaaabbacbcaacaacabbccabbcbccaaaaccbbabaaaaababbbaaabbcccbccccbaaabacbcccabaaabacabaacbcccabcacaacbbba
+bbcacabcbc
+baaabcbabbccbcbcbbaccaaacabacbaaabbaaaac
+acabaacaabbbabccbaacabacbbbbbbbaaaababbbacccaacaabcccaaaacacaacbcabbabacbccbbcabcbcbcabaaacbacab
+cbbcbbbbabcc
+aabccccbacbabababcbbaccccbabbcaabbccbcaaacaabccbccaaabcabac
+ababcccbababababbcabbbbacbbcaacacabccacbaccbbbbcccbccbccabaaaaaaccaaaccbaccb
+aacccbcabccca
+aabccaacbaccabcaaaacaaacccabbaccababbabababbcacabccbaaacaacacbabacaaacacaababcbcababacaccaabcababcacbbcab
+abacacaabcbccaabccbccbccabcbacbabacbaaccbaaacbcbabac
+bccccbbbcbcccbbaabcaaabbbcbababcabaaacacbcabcaba
+acbbbaacccbbcabbabbcababbcacccabbbabbbacacaccbccbcccacacbaaabcaabbaabcaaaacc
+abccaccbcaaaaccbccbcbacccbcbbcacacbcbcaaccabaaaabaacacbbaabaabbbaacabccbbcabcbbabbbabaaaca
+cacbaacbaabcaababbaccabbccaccbcabcbacbbcabbc
+bcacccabcbccacaacaacccbacbcbacaccacbbbcacaacbccbbcbcacbcbbabcbcbaacabcaacccccab
+cbbcaaaaccacbaaaaccaccaaabaccccbabbcabaa
+cccbbcabacabababacacccccbbaaacababbccbbbcccc
+aabbabbbcaaaacaaabcaabaabcbaaaaacaacacbacacacccaacaaccaaaaaacbbaabcbbabcbabcabacaaccbcccaccb
+ccbacbacabacbbbabbabbcbabbcbc
+bccccacaaaaccababacaccaaacabbacabcacababbcbbbbacbcacbacabbcacabcccabbccccabacccacbcbccbaaaababacbcbbababbab
+accaaaccacccbbbacabbabcabccaaababcaacba
+bbacaacaccbccababccbaabaaccba
+ccbaaccccacabbbabc
+bcbabbbbbabaaaababccaaabbbbabbccacbcabababcccccccbbaabbcbabbccacbacbccababccabbc
+acbbbcbbcabcbaaaacbbababcbbcacccbaacbccbbcababaabccaabacbcbaacbacaaabacabcacaaca
+acacabacccbbacacbaaccabaaacaaaabcabcabbbbccabbbacbbbabbbbabbabbbaacaabccaabbbabbcccbbac
+abcbacabcaacbaabbaaccbbaaaababaabbabbbcbaabacaccaaacbabcbcaabcb
+aacbaaacbcabbaacbcabccacbbcababaabacaaaccaaacababbaaabbbcbbcaabcabacbabbacaaccbabcbcabaacaaccbabbccbcaabaa
+bbccabaabbabaacbabaccacbcaababcccaaaacbbbacbabaacbaa
+acaccbcacabaacacccbbbacabaacbacbacbccbcaacbabcbbcbcbcccacabcbcbbbbcbccbbcaccbacbacacabcacabccacacbaacaaaabaa
+cbbaaccbaaacbbbacabcacbaabbcaabaabacbacabbaabbabcacaabacbccaccbaac
+aabaacbabcbaaacca
+acacccbcabccbbcacacbcbacbcaaccbbaabbabaabaabacbacaaabaa
+cabbabbacaabcaabcbcbbaabaccccaccbbcabbacccbbbbccbccabcbcbbbaaacabbcaabcccbcabbabcabcbcbc
+caabcbcbbabbbccbbbbbabbbcccbacbccacabbacbccbbbcbabbbaabbacacbcaa
+cacbbbbabcaccaabaabbbaabbcababcaabcbacabbb
+cbabbbbcbaaabbbabbabbcaacbbccaacaabababbbababaabcabcbcaaccccbaabaccbbaababaaaccacababbaccbbaaccca
+cbbcaaacabbccabaccabacabbabacacaabbcccbacaabaacbccabbcabcaabab
+bbbacbaaabccbcababa
+acbbbabcbaccbabcabcaaabbba
+bcbacaacbaacabccabcbbc
+aacacbabbccababaaca
+acbabaabbacbbaacacbacbcabcaabaa
+aacaccccbabbcaacccabbcbabbcbbcabaacccccbbccbccbcbccabbacaccbccbaaabaaabcaabaabca
+cccaaacbbcbbccabcaccaabbabacabbbbcabcabcccbaababbaabcbaababbcbcbabcaabcaaaaacabbbcbccbacacabaac
+bcabbabbacbbab
+acaabbcbbaaabbaaacbcaabcbcbccbbcccccabcabbcabbccacaaaccabccb
+bbcbabcacbbacbcccccababbccabccbaaccbabaaaccbaccaaccabbbabaccbbbbbcacc
+babbcbbaacbbacccbb
+ccbaacaabaaaababbbcab
+caccabcbccbbccbaccbacbaaccaccacaabbcacbbcaa
+cccbbcccbaabaaacbcccbcbbcbbabbbaccacacaccacbaaaaaaaabccccbacaccbaa
+bacbaccabaabca
+ccabcbcbabccaab
+cabaabbcbbccbaabcccbccaaacbccaccabbcbbabbbccbaacbccbcbacbccccbaccbaabacbcbb
+bacbccbbcbabbacabbaccaccacab
+cbabcaccbacabbbaacaaacacacaacccaacbcbcaacccaacbccacaaccbacbcaabbcbbbbcbbcabcbbbcabbcbaacacccbcc
+aabcbbaccbacaabaacabcbcbabababaabbcccbbccacacbabbbbcaaabcab
+bbabccabbbbaababccbbacbabacbcaaccccccbacbbccac
+bcaabbccabbaabcacabccabbcbcccaabaccccaccabcabaaccbaacbcabbccabbbacbaabc
+caaaaacccbacbbabbbbaccbbacababcabcaaabccbcbccbaababcaabbbcbcacccccaccccbbccacbbaaacccaabcba
+abbcccacbccbc
+bbaaacacaacccbabbbbcbbccbabcabbbcccbabbacaababbaacac
+abbabbcbcacbaabcabcbccaacccaacacbbbaabbaccbaaabccbccaabcacbabccbcababcabbbabacacabaacbbbaacbabcaabbcb
+babcabcbccbbbcbbabbbbcbccbabcbac
+bcccaabbbacccacabbbbbcccababcabbccaaabaaaccaabbaabccbca
+151 57
+abababbbaaaabbababaababbbbaaaabbaaaababbbabbbbabbbabababbbaabaaababbbbabbbbabaaaaabaabbbbabaaaab
+bbbaababbababbabbbbbbbbbbaaaababbbabbabbbbbaabbbbbabbbbaabbaaabbabbabbbaaaabaabababb
+aaabbbaabaaabbbbaaabaabbaa
+ababbaabbaabbbabbbbaabbababbabaaabbaabbbbabaabbbaabaaaabbbbbaaabaaaabbabbaaaaabbabbaaabaaaabbbabaaabbaab
+babbaaabbbbababaababaaababbbababbbaabbaaabaaaabbaaaabbaaaabaaababaabaaababaaabababaababbababaabababbaab
+abaabababbaaabbabbbababbbbabbbbbbaabaaabbaaaaababababbaabab
+abbbbbabaaabbaa
+aabababaaabbaabbaaabaabaabaabaaabababbaaababbaabbbbaba
+abbaababbbabaabaabbaabababaaababaaabaaaabbabaaaaaabaaababbababaaabababbabbbaabbbbabbbbbabbbabba
+abbbbaababbbaaaaaababbababbaaabbbbbbbbbbbbbabaabaaaaabba
+abaaaaaaaaabbbabaabbbabbababaaabaabbbababaaaababbabbaaabaaaaabbabbabaababbabbbababababbbbaaabbabbaba
+bbbabbaaaaabbbbbababbaaaaabbbababababbbaaabaababbbaababaaababaabbabbbaabbbabb
+aaaaaaaabbbaabaabbaabaabaabbbbbabbaaababaaab
+abbbbbaabaaabababbabbbbbabbbaabaaabbaabaabaaababaabbabbaabaaabaababbbbbbbbbababbba
+babbbababaabbababbbbbbabbaabbbbabbbaaaaabbbaba
+baabaabbbaaabaababab
+aabbabaabbaaaaaaaaaababaaaaabaabaabaaababbbabbbbabbbbaab
+babbaaabaaababbabbaabbbababbbbbbbbaabbabbbbbbaaaabbbaabb
+bbbabaabaaabbaaabbbbbaabbbabbaaaaabbababbbbbbaaaba
+babbaaabbbbbaaaabbaaabbababaaababbbbabaaabbabbbaaaaabbababaabaaaabaaaaaaaabbbbaabbaababbaaaabbabbaaaa
+baabaabbaabbababaaaabaabaabbaaabaaaaa
+abbbabbbaabbaaaabaaaabaaaaabaabbbbbbbababbaabaaaaaabaaababaabbabb
+aababbaabbbbaaabaaaabaabaabaababaaaaababbaabaabababbabbbbbbbabaabbbababaababbbbabababbbabbababbaaabab
+bbbbbaabbaabbaabababbbbbaaababbbaabaaaaabbbbaaaabaaaababbbbabbbaaaaaaabbaab
+bbbbbbaabababaaaabbabbababbabbbabbaaaababbaaabbbaabbabbababbaaaaaabaaba
+bbabaaaaabaaaababbabbabbbaaabababaaabbaabaaaabbaa
+babaababaaabbbaabbabbbbaaabababaaaaabbaaaababaabbaaababbababbaaaaabaab
+baaabbbbabbbaaaaaabbaaabbbbbaabaaabbaababbabbaaabaa
+bbaaabababbbabbbbbabbbbabbaabbbabaaabbabbabababbabbabababbababaababbbaabbbabbbbabbaababaaaaababbaabab
+abaaabaababaabaabbaabbbbbbbaaaabbbabaababaaaabbabbbabbabaaabaabbabbaaaaaababbaabbaaaaaaabbababaaaa
+abbbbabbabaaaaaabaaabbabbababbbaaabbbbbbabbabbbababbbaabaabbabaabaaaabbbbaaababb
+babbaaababababbbaabbabbabbbabaaabaaaabaabbbabbabbabaabababaabbaaabbbbbab
+abbbabbababaabaaaaabbbbaabaaabaaabbbaab
+baaabaaabbbaabababbaaaaaabaaabaabbbbbbababbaaabbbbbaaababaaaaabaababbabbaabaaababbababbaababababababbb
+bbaaaaaababbbaaabababbaaabbaaabbabaaaaaabbaaababbbbbbbbbabbbaabbbbbaababaababab
+abbaaaababbaabbaaabaabaaaaababbaabbbab
+bbbbbabbababbbbabaaabbbbbbbbaaaabbbbba
+abbaaabbaabbbabbbbbbaaabbaba
+bbaabbbbbaaaabbbbbababbabaaabbaaaabbabbbbaaaaabaaabbaaabaababbabbaabaaaabbaaaaaabaaabaaab
+abbbaabbaabaabababaaababbbbbbabababbbbbbaabbbaaaaabbaabaabbbbbaabbbaaaababbbbabbabbbbb
+bbbababbabaaabbbabaaaaaabbabbaabb
+babaaaaaaaabbaaaaaaaababbbaaabbbbaaaabbabaabaaaaabbaaabbaaabaabaabaaababbaababbaabaababbbbaaaabaaabbabaabaaba
+bbaabbabbaa
+abbaaaaabbbbbbbaabbbbbbbababababbbbbabaaabaaaababbabaabba
+babbabbabaabbbbabaaabbbbbbbbbbbaabbbbbaaabaabbbaab
+abbbabbbbbababaabbabaabbbaaababbaabababbaabaabbabbaabbababaabaaaaababbbabaaabbabbbabaaabbbbaababbbaabb
+bbbbabaaabbbabaaaabbaaaaaaaaaaababbabababbbababbaabbabbaababbaabaababbba
+abbaaaaabbbbbaabab
+babbaaaaaabaaaabaaaaaabbabbbab
+aaaaaababbbabaabbaaaaabababbbb
+ababbbbbabbaaababaabababaaabbbaabbabaaabbbababaaba
+abaabbabbbababbbaaabbbabbababbaaaabbbabaabbbababbbbbabbaabbbababbaaabbaaaaaa
+abbaababaaaaaaabbbabba
+aabaaaabbabbbbbbbabbbaabbabbababababbbbbbaababababababaabbabbbbbaab
+abbbbbaaaabbbbabbbbaabaababbbababbaabaaaabab
+bbaaabbabaababb
+bbbbababbaababaabaaababbaabaabababbabbbbabbbabb
+aaaababbababaaaaabbaabbbabbbabbabaaaabbaaababbbabbbaabaabbabbabbbbabbaab
+aababbababaabbabbaaababbbaaaaabbaaabbbababbbbbbbbabaaaaaaaaaaabaababaaabaaaaabbaab
+abbaaaaabbaaabbaaaaabbbabaaaaababbaaaabababababbbabbbbbaabaabbb
+aabaababba
+abbbaabbbbbbabaaaabbbabbabababaabbaaaabababbbabaaabaaabbaaaabbbbabb
+aaaabbabbababbab
+abbaaababbaaaaaaabaaaaabaabbaaba
+bbaababbabbbabaabaaabbbbaabbbbbaabbbaabaaaababaaabbbabbabaaabbaaaaabababaaabaaabaaaabaabaaab
+abbaaabaaaaabbabbbabbbbaaabbaabbabbbbabbbaaaabaabaaaa
+babbbbbaabaaaaaabbbabaaaababbbbaaabaaabbbaabbaaababbabbabaaabbba
+baabaabbaaabababaabababbbbbaaabbaaabaab
+aaabbbbbaaababbbbbbabaabbbbaabaabbaaaabbabbabaaa
+bbbbabaabaabbbabbbabbababbbabaa
+bbbaaaaaabaaababaabbaaababbabaaaabaaaabababbbbabbaabbbbaabaabbaabbaabaa
+aaaabaaabbbbbaaababababbabaaabbbbbbaaabaabaabbbbaababbabbbbbbabaabab
+bbabbabaaabaaaaaaaaabbabaabbbbaaaaaaabbabaaabbbbbbababababaaabbbabbbbbababbaab
+bbbaababbbbaabbbabaaaabbabbabababbabaaaabbbaaaaabaababbabaabbabaabbbabaabababbaaaabbaba
+aaaabbaaababbaaaabbaabaabaababbaabaabaababbaabbbabba
+abaaabbbbab
+abaababbabbbbbbbaaabbaabbabababbabbaaaaaaaababaaaabbbbababaabbbabbaabbabaaabbabbaabbabbaaabbbbaaa
+aaaaabbbbaabaaabaaabbabababbbbabbaaaabbaaababbbbbbaabbabababbabbaaabbaaabbbbbbababbababbaabbbbabbba
+aabababbaaaaababaaabbabbaaabababbababbaabbbbb
+ababbabababb
+ababaaabaababaabaabbabababbbaabb
+babbaabbbababbbaabaaabaababbbaaabaaab
+baabaaaabbaaababbaabbaaabaaaaaababaabaababbbbaaababbaaaa
+bbbbabaababbbabaa
+bbbaababaabbbaaaabbaabbbaaabbbabaabbbaaaabbbabbabbbababbabaababa
+bababbbbbbbaabaabaabbbaababbbabbbaaaababaaaaaaabbbaaaaaabaaaaabaaababbaabaaaabbbbbbabaabbababaaa
+aaabbbbbababbbbbaabaa
+bababaabbbbbbaaaabaabbbbababaaaabaabbbabbbbbbabbabbbababaabab
+bbbababaabbaaababbaabaab
+bbabababbbbbababaabbaabbbabaaaaaabbbaabaaaa
+aabbbaaababbaaabbabaaaabababbbbabbaabaabaaabbbaabbbaaa
+bbbbbbbaabaabbbaabbbbbababbaabbaabbbbbbaabbaabb
+bbbbabaabaaababababaabbbaaaaaaabbaabaababbbaabbabaaabbabbbbbbbbaaaaaaabbaaababaababbabab
+bbabbabbbaaabbabaaaabbabbabbababbbaabaabaa
+baabbbbaabababbabbaaaaababbabaa
+bbababbbabbabaabababbbaaaaabbbbaababbbaaaaabbbabaaabbabaaabaaaaaabb
+aababaabbbbabaaaabbabb
+aabbaabaabbbbbbbbbbbbaabbabaa
+aaaaaaaaaabaabaaabababaaabbbbbaababaaaabbbbbbbaaaaabaabaaaaaababbabaaabbbbbababbabababa
+aabbabbbbbaaabab
+abbbbaabbbbabaaaa
+abababbabbaabbababaaababbaabbbabbababaaaaabbaaabaaabbbbaabbbbbbaaabbababaaaaaaaabbbbbbabba
+aaaaaabaaaaabbaaabbaabababbbbbbaaaababbbbbbaabbbabaaaa
+aaabbbbbaabbbabaabaaababbbb
+abbbbbbbbbaaaaabbabaaabaabbbaabbbbbbbbbbabbbbbbbaaaaabbababbbbbbbabb
+abbbbabababbaabaabbababaaaaaaaaaababbababbbaabab
+baabbbbbabbaabababbabbbabbbaabbaabbababaa
+bbbabbabbaabbaaaa
+bbababaabbaba
+abbbbaaaababaaaaaaaaaabbbbbaaaaabaaaaababbaabababbbaaababbbbbaaaaabaabbbbaabbb
+bbbabbababbbbabbbbabbbabababbaabbaab
+ababaabbaaabaabaaaabbbababbbabbaaaababaabaabaabababbbabbaaaaaabbbbbaaaabaaaaabaaaaabaa
+bbabbbbaaabbbbaabaa
+babbabbabaababaabbaaaabaababbaabbaaabbaaaaabaabaabbaaaaaaaaaaabbaabaa
+baabababbaaaaaaaabbbbbbababbaabbbaaaaaaaaaabaaaabaaaaabaaabbbbbababbbbbaabbbbbb
+abbbaaabbabbabaababbbaaaaaaaabaaabbaabaabba
+aaabbbbbababbaaababbbaabbbaaaaaaababbbbababbbabaabaabbaaaabaaabbbabaaaabaaaaababbaabaabbba
+abaabbabab
+bbaababbabababbbbbbaabbaaaabaabbbaabbabbbbbbaba
+bbbbbbbbbaaabaabaaaaaabbaabbbbbbbaaabaaabbaaabaabbabbaababaaabaaaaaaabbbbbababbbbbbaaababbbb
+abbababababbaaabaaabababbbbbbababbaaaaaaaabbaba
+aabbbababbbaaaaaababababaaaababbbbaabbbaab
+bbaabaabbbbbbaaabbabbababbaabbababaabbaaababbababbbbbaaaabaabaabbabbbaaaaa
+abbbbbababaabaaaaaabbabbabbabaaaaabababbaaababbaabaa
+bbbbaabbaaaabaaaababaabbbaaabbaaaaaabaabaabbbbbbbbabbbabaaabbaabaaaaaaaba
+baaaaaaababbabbbaabaabbbbababbbbaaaaaabababbbaababaaaaaaaaababaabaababbbbabababbababbbababbaba
+aabbbabbaabbabbabbaaabbbababababbabbbbbbbabbaaabbbabbaaaaabbaba
+abaaaabbabbbbababaabaabbbaaaaaababbabbbbbaabbbaaaaabaabbabaaaaabaabaaabbbabbbabaabbab
+bbbbaabaabaabaaaaabaabbbbbababaaaabbbaaaababbaabbbbbbbbaabaabbbbabbabbbaabbabbbbbabaabbaaaa
+aaaabaabaaaaa
+bbababbbbbbaabaabaaabaaababbbabbaaabbabb
+bbaababababbbaaaababababbbabaaaabbbaabbaabaaaaabba
+bbaaaabbaabbbbbaabbababaabaabaabbbababbbbbaaaaaababaababbaabbbabbaaaabbbbaababbbaababbaabbaabaaaaaaabb
+aaabbabbabbaabbbabbbbbaababbbbaaabaaabbaaababaaabbababbbbaaaba
+aabbabaabaaaaabaaabbbbabbababaabbbababbabbbabbbabaaababaababaaaabbbaabaaaaaaababaabbbabbabbbabaabbaaaaaba
+baabbaaaaaababaabbabababbbbbbbabbbbbbbbbababababababbababbbbaaaabbaaabbbabaabaabbaabbbaaabbbbab
+baaaabababbbaaababbabaabbbaabaaabbababaaabaababbbaabbaaabbbbabbaabbaabbabbabaaabb
+bbabbbbbbbababbaabbbabaaaabbaabbbabbbbaaaabbabbbbbbbbaaabbaababbbbabaabbbabbbabbbaaaaaabbaababbbbbbbbaabaab
+abbabbaabbaaaabbbbababbbbbaaabaabbaabaabbbbaabbbbab
+bbbaabaaaababbabababbabaabbbbabbabbaabbbaaabbbaaabaabaaababbaaaaaaaababbababbaaabaabaaababbbabbbbaabbbba
+abbabababab
+baabaaaababbbabbbbaabbbbbbbabaaaabbaaababbbbabbaba
+bbbbbbaaabbbaaabbbaab
+bbaabbbaaabbaaabaa
+aabaaabbbbaaaabbbbbaabaabbaaaabbbba
+baaabaababbbbbabbbaaabaaaaaaaabbabbbbbbbbababaabaabbabaabbabaaabb
+bbbbbaaaababaaabaabbbaababbabbababaaaabbababbabbabaabbaababbbabbaabbababaaaaaabaaba
+bbbbbbbbaaaabbbbbaaaaaabaaaaabbbaaabbaaaba
+bbbbbbbbaaaababbbbaaaaabab
+abaaababaaaaabaaabaaabbbaababaabbababbbabaabbbaababbbaaaabaaaabbbbabaabaaabb
+aabaaababbbaaaaaaabaaaababbbabababbaabbababbbbbbaabbbaababa
+96 81
+ccaacbabcacaccbcccaacbaacbaccacacbabbacaaaccaabaababcaaabccbabbbaabaacaabacbacccacaaacccacaccaaccacb
+acbbbcababcabcacbcacbcbcbcaaaaaccbbbaccabcbacbab
+bbbcaabbcaccbcbabcacccabaaccccabcbccacbcbacabacabcacacacccabbbccacbbccbabbbacaacaaabbacbbaccaccbaaccc
+aaaccccccabbaaaacabbccaacabcbccbbabbcbabccacbcaaaabbbcb
+cccabaabaabbcbbaacacccbccacbbbcaaaacaabcbaccbbcaacacbabaababbccaaabcaccabaaccbaaacbaabbbcabacbacbcbb
+bcabaaacbabcbcaacacaaacbaccbcccaccabbcaacbbcaaccccacbba
+cbacbabbcacababcacccbabbabaacaccbbaa
+bcaacccabbbbccccccabcaccabbccccabbbbbcab
+abccacabcbbbcbbccbcaaaaaccaa
+baccacaaabacabbbbcababbbacaabaabcbabacabbcabaabbacacccabcabbbaccaabaacaabcacac
+caaabcbbaaabbbaaacacacabbcaababbbbbacbacbabcccbbcaabcbbbccbcaccbbcabcabacccacbaccbbcbacacc
+cbcccbcaacbbabaabcaaabaaabcbbcccccacbccbccbbababcbaab
+ccbcbabbaccaccac
+cbcbabccabbabccba
+bcabacbacccababbcccabacbbbbbabaababaabbaaaaccabbccccccbbcbbbaaaabb
+acacbbbabcacbbcbcbbbcbbccaaaabcacabcaccaccaaaccbbccccbbbbaccabcaaaacabcaccababbbabacaaaaaaabacbbcabcaaaaacc
+bbcabbcbcbcacbcacaabbcccabbacbaabcabbcbbbcbabaabacbccaabcbcbacabbbcbabbbabbbcbcacbbcbbcccbbbbbbbbccacbbcccba
+bbaacccbbbacc
+babbccaacccbcbbabcbacbcccaccbabccaccbbcaaababbabbaaaccbcbaaaabbcaccbcabbbabaacabbcbcacbabccbbbc
+ccaacbbabbcaabacbaacbbcaacabbbbccbcabbbaacbccaabbbabaacbb
+baaaaabbbbccaabbcbbcbbbbbcaccbacccbbccacb
+cabaaaaaaabccccacabaabcbabcacccabbcabbbcacccacbcbabbbcacabccccbaabcbcccabcbccbaacaaabbcaac
+cacacccabcbbbcaccabcbabbbcbccaccbaacbbaaacccabcbbabaaabaaaabacccbccbccbcabbcacaccbbccabbcabbcbcaaccccbaabcb
+bacbbabcbaabbacbabacbacaaccabbcabccbacabaccabcbacbcbacc
+acccbbbbcaccbacaccbcbbcaababaaabbcbccccababccaacbacbbabbabaaaaaabcbbcbabcabcccbacccaaccccbaaccccbbcacacabbb
+cababacbbabcacabbbbcbacacbaacabcabbbbabbcabaca
+aabbbabccacaabb
+bacbccbabbcaccbbaac
+cbcbcabcaacccababbaabbacbbbbbcbaabccaaacabaaccbbcabbcabbccbabaaababaacbabcbbbbbbababbcbabccbbcaccbbacacb
+abcbbcbcbbbabbbbbbbbcacccaacccbaaaacabaabbcabacccabbbabbcc
+ccaccbababbbcbccababaabaababbcaaccbcababbb
+accacbbcbbbcca
+bbcaccabbbcbccccccababaacaabbabacbcaabaacbccbbcbbbbaccabacbcbaaaaabcbcbaa
+accabbabcbccabbbcaabaaaaccacbcbaaabbacbccccabcbcbacaabcbacccccaabaa
+acabccabcbaabbaaccaacabbcbcaacccccabcab
+cbaaccacabacaacbbcacbcacaaacbcbbbbbcbbaaaaabccacccacacabaabbbbcaacaaacacaccabbcaacbaaabcbabcbbbbaa
+bbbcbcbababbcaccbaaacaccbbabbabccabbcacaaababbcacbbabcacaabacacabcccb
+baabbabbbabcaabcbbbaacabbaababcbbcccaaabcbbacbccbabbcaabaaacbcaaabbcbacabcabbbaccaacacbbacabbcc
+cabcbacabbcbcaacacbcaaaabaaccbaacaaaaba
+babacbbbaaccbccabbbbcccbbabccbcbabbacaabbacababbbabbbaababbcccabcccacaabbcbabbbacccbaccbacacaaabacbbaacba
+acabaabacaacaaccbcbaca
+cbbaacaccabccacbcbbaacbbbabcbacbbc
+baaababbaababbccaacbccacbbaaccaabcaabbabcacacaaacacccacabaccaaccbbbbaab
+bccbcbbacbacacccbacbbbcaaccaaacbbaaaacbacbbabccacacacacccc
+accaaccabbcabcabacacabaaaccacaaaaabcbabacabccccbcbabac
+bccaaaaacabbaacaabccacaaabcccccb
+bbcccbcabbabaabbbccbacacbcbbbabcbbcaacccbccbbacbcbabcbacbbcaacccaccbccbbbbbaacbbaacbcabaabbaaccaabbbbcccbb
+ccbcaccaabaaa
+accbccabaab
+acbcbbbbbacaccabbcabcacaabbbbaaaaacaaaabcaabaabacbcaabacccabcccabaaac
+aabbaabacaabcabbaacac
+abbabaacccccaabbbcaabcccaacbcaaabcbbbcccaabbabacbbcccabacbabbbcacaabaaaaaacbbbbcbcaaabaaabaaaabcababbcacbc
+abbbcccbcbaabcbaabbacaaabbcabaaacbacbbbcbcc
+caccaacbcacbbcbccbabbabbbbcaccbaaaacabbccaaaaacaabaabbcaabccbbabacbbabaabacbabaababaccacacbbabcabcaabca
+aaabcabbabacacbacbaabbbabaaaaccccaacbcaabacaaacaaaccaabcabccbcbbcacabbcbbb
+acbbbcabaacbbccbbcbaabcbcacbbcacab
+acaaaccacbcabacaacabccabaabb
+aaabcccbacbccbcccbacbaccaabacccbcccaaba
+bcaaacccacbcbaaabbbccbaababbcbbacbccaaaaaacaacccbbbcccabbccccabbcabaccaacaaabbbbba
+bbabbcacaaccbbaabccbbbbacbaaabaaabacabbbcacccaacabaabccbbabbaacbbba
+abbcababacabbabcbabacaccabcbaaccaabbcbabbcabbcbabbbbbca
+aabbabbcbccacbbbabaaabbaabcbaababac
+bccbcbccaaccbbbbaabbbbacaccaacaabbabaabbcacabacabbbaababcaacbbacbccabaaaaabacabcbccbbc
+abbcabaabababcbccacbcaaabccaabccacbcacccbcbbbbacbbb
+bccbaccbbccccbabccaaaabababbabbaabacacbbccbcccacacaaaccbcbbb
+ccbacaccacbabaaaccabbcbbbbcaacccbacbcbcaabbccccacbbcbacccbbbbcbaaacbcac
+caacbacabcbcbbcbaabbbbbacbc
+bbcaababbbbbbbcbbbacbbacbcabbabcbcbcabbcccabaaaabaacabcc
+ccbacbbcbcaacacbaacaacccaccbbbbbaacbbaabaab
+bbacabcabcbaccbcaaabbccaaa
+bacacccbcacbcbabbbbb
+bbcabacbbababcaaaaabaacaccabacbabaccccbbabbaccabcaaccbc
+abbcbccaacacccbbacbbbccbaacbacaccccaaaaccbbcb
+cbccbabcccacbabbcaabcabaaba
+cabbbaccaaaaacabcbbccacacaabacabbcbbabcabbbcccaacbbcbabbcbaaaabbcbcabbcbb
+bbaccccabcabababbabcbaaaccaaccabbaabaaaa
+abcbbccacaccababcbabbcb
+bbabccabcccccaccacabcaacaababbabaacabacc
+acacbbcaccaacacacbccccbcbabcbababbcbabcbaccbb
+aaacbabaabcacababbcccaaaabbcbbabaccbcaccccbabccccaaaabbaccaaacccbabaaacbabcaccbbbbbbaaacbbbbaaaccaaca
+ccabbaacccacacaccabaccbbcabcbabcccbbbaaabbbbacbcbbcccacaabacbaaaccbacacbbccabccccbccccaacbcbbcabbbbbcc
+bbacbacccccbabaabcacbbcccaaaaabcbaabbabaacabaaacbbbbacacaaaaacabbccaccbcbcaccbbbbbcacccbccab
+cbbbababccbcccbabcabbabaacbcbbccacacaacacbbccbbcabcbccbbbacaabbbbcbc
+bacbbaccaaaaabcaccacaca
+bbbbabbbbbbbcbaaaaabbbcbacbccaabcacb
+bacccbcaaccabababbbbcbcccbacccabacacabcccccacbbaaacbbccabba
+aabccccbacbaaaaaabbabcbacbbabbcccabbbabaacbabcbcbbbbbaccccaabbccbbbabcbbabaabcbcacbacccbaccabcaccbcbbbbbccb
+aacabcbbbbcacacccaacaaabcaacbbaccccaabacaaacaccbacccacbbcbcababaabcbca
+bcaabcbacaabcacaababcaccbaaccbaccbbaccccbabccbccabababbc
+bbabcbaabaccaaabbacbbbbaccbbcbbabbccbaccccacbcabbcccaacac
+abaabbcbabb
+bcaabacababbbaccababcabaabcbcbcabbbcbababaccbcbabcbaccacabaccbabbabbbaccaacacccbcacbacbbcbbacabccbcacbbccc
+caaacccacccbcccccbaabbcbbacacbbcbbacc
+cccbcbbaccccacaaabccccabbbacccbaaba
+aabcccbcabbcacbbcccccacabbcaccbaccbbaccbcbbabcabcbabacbbaabbcccbbaaacaccccacbbbaabcbcbaaababaaccbbccbc
+bcabccbbccabcbababbcbacbbabacacbac
+88 83
+bcbcbcbccaaaaccabccbbcabbabaaccbbaaabbbacbbcbabbabb
+cbbbbcbccababbbaaabbacbbcbbaacabbcbbbabbbbaccaaaaaccaabcbcaaacaccbbcacacaaaaacacbbababccabbbabaa
+aaaaabbcbbacbabbacabaaaabcbcbabaaaabcccaabbcabcabbabcaacabaacabbcbcbabbcccbaaccc
+aacccacaabcbaaccaabbcababbbccbabacccaccbcbcbaccbabcbacaaccbaaacbabaacccbba
+bcbacabbabacaaaabcacababbacacbacaccccbbcbcabbabcaabccacabbccabbaccabccbacaabababbcccabbccccabcbcbbacbbaacbcc
+acccacbacaabbaaacbacbccccabaaabcacbbbabcabcccaaacbbbbcababaccbbcbcbccbbbbab
+aacacaaabacaaacababccabcabbbbbbababcbbaaaaabccacabaccacbcabacacabbbacbbbabababbaaa
+bbabccbbcbabacabacbcaccaccbaaccaaababccbacaabbcacbacccacaccaccaacaabacacaaaacacbaabbacaacaabacacbbac
+accbacbccacaa
+abbaaacbbbccaacccbcaaaabc
+ccccacbbabcacbbacabaabbcacaabccabcacbcacbabcacacabaccaabbbacacbacbbbccbcbaccaacbcbbbbccabacacccbacccaca
+bbbabacaaacabc
+bacabaacabaaaaa
+acaaabbcbbcbbbaacbbabccacab
+cacaababaacbcbbbbbbbccbaabbcbcbaabbaabbcaaaaabbaabcaac
+aabacbabcbbabcbbbcbbccbbbbcacaccbaaacabaa
+accabbbbccbabbacccbaababbbacaaacccaccccaaaaccab
+cbbabaaccbbbaaaabaaaccbbcaaaababccbabaacbbbcacaaabbabbaccaccbbbabbcb
+cbbccabbbccaababcaacaccaaaaaabaccccbbbacabbbaacbcaacbabcbcaacacabcabbcaccbabab
+caaccbaabcabbbbbbaacccccbaaaaaabbbbbabbbaccaabacaacbbbccabcaccbbacabcabbabcabcbbb
+bbacbcbbacbacabcaa
+aabbbcbbbccabcccccacaaabccaaccaccaccbabcabcbbccbaacaabbcccbbbabaaccaca
+acbbabbbaaccbbababccbbbbcabbbbacccbaccbabcaaacbaccbabbabaaaacaccacaccacccbbaabbbabcbaabcbcaaacaaabc
+caaccbcbccacbcaacbabbabbbcacccaaaccccacbacaccabcbbbbbccbabbaccbabccabcbbbbcabbccacacaacacacaacbcaccaca
+cbacaaccbabaccacccacccbcbaabbbcbcbbbaabcacbaaccbacc
+acbcaacabbbcccbabacbccabaabcbacbcbbcacabbacccbbbcccbccbaccbacbcabcbccccbbaabacacabbbcacbacccacbbcaccab
+abbaaaacccabacbbabcccaabccacaaab
+abacacbcaaaacacbcccbbabcbabbbabbcbbbbabcccbcbbcaccabbbbcabbbccbbab
+bcbbacaacaacbcccbabacbcaccacabcbbccabaabaacbcabcbcbacacccccbbbbaaabbcabcbbcbacbcb
+cacaabaccaccbcaaaaabacbbaababbababbbbbbbcbccbabccaacbcbcbcabcaac
+cbaabbcbabaca
+cbbcaaacbccaacacaccbbccacbccbcbbcabcbbbacbbcccbabba
+ccbbcccbbbcacacbccbcbbaacccbabbabccbbccbcccbb
+aaabcaaacbaaabcbacabbbbaaabbcbb
+bccaaccabbcabc
+aaacbcabaccaacbabbcbbcbabaaabcabcaacaabbbcabaccbaaaabcbbbccbccaacccbcaccbaabbcbcbabacbcacc
+bcababbababcbcabcacccaabcbaacaccacbabaaabcbcccbabaccbacaaccbabaccabacbaacb
+bcaabbccababccaaaaacaaacccbacbbbbbabbcbbaaacabacbccbbbbbbcabaccabbccbccbbbbaaabbbbabccccbbaaaabbbb
+cacbbbbacacbcbbaacbbabbaababbabacbacabcbbb
+baacacbccabcbbcbccbababbacccbaaabbcacbacaaaaabcaccccabaccccbbaabc
+bacccbbcbcacccababaabacbcccbbccbccbaacabaaaaaaaabcccabacbaaccccccabccbcbbbbbcabaa
+bbbcbccbbacbacacccbbacbabaccbb
+acacacbcabba
+bcbbccabccacbbbabbabbbcabbabbbcbbcacbb
+ccbbbccbcaacaacacacaccbbaccaccacaabcaccabcabccacabbacccbbc
+bbbbcbabcbcbbbbaaabcacaabbbbcbccacacbbaacbccbc
+bccabacabbacccabbbbbaccbaccccbaacccccaabbabca
+ccaabaaccbabccbacaacbcccbaaaaccbccbcacaaaabbccbbbabcc
+cbcacacbbcbaaaaacaaabbbacccacbaaacbcababcabcaabbaccaaaccbcaccbbaabcbcacac
+bcbaabacbcababcbabcbcbbbacbcbcaabcbbbcbcabacaacbababcaaabbacba
+bacbabbbbccacaccaacabbaabbacbcaabaacbbaccbabbabacccc
+aacacbcaaaabcaccabbbaacbaaaaabaccacbbaabcacccc
+ccbcccabaac
+caacacacccaaababbccbbacbababbaccabcacababacbacbbcccbcacbbaacbcacaacaacaaabccaabcccccabbabaacbaaaababb
+baaaaabcbbbbabbaacccabccacbcacbbaccbaaabbbbcbcbbcab
+acacccacccccacbababbbbccabcbccbbabbcaaaacbabacbbabcababccbaacccaabbcaaaccbcbabcabcbbcccacbabcbbabbccaaaac
+babaccabcaaaccacccaacccaabccbabbbbaaabbcaaccb
+cbccacabbcaccacaabbcbacabababbccbaccbbaccccababcbaacbbccbcacabbbaabbacbbcbaaaaabcaab
+cacaacbaccbbcacabcabaccbaaccbcbcaaaaabac
+baaaaaabcbaaaaaaaabbababbbabababccacbaaabcabababccaabbcbaabcabcbcbbbbcbbcbcbcbabb
+cbbcbacbbaabbbcbbcbbcacbabccabacbbaccacbcbacbaabaaabacacbbabbbacacbbcacabaacbcabbabbccaacababcbaccaabaabacc
+babacccabcaaabaaaaccccbbababaaabacbcbbbaacccccabbcabcbccbccaaaabaacccac
+bbaaaacbcbcbababccbabaabbaaabacacabacabacbbbabacbbacbbbababbbacbbcaacaacacbaabbcaaccbbaacbcacbccccccbccc
+ccabccbcccacccbcbbaabbabbabbcccbbaabacabcccbaaabbca
+caabacbcccabaaccaabcabaccabaacacbbcbbbaaabbabcabbbccacbbabb
+cccaaabbccaacbabcbccccbcbabbbcaabcccbacbabcbcacacacacabcabcaabcccccbccccabcbbabaaccbbaaaabb
+ccacaaacccacaacbccbaacbabaacabcaabbacacbcababbcaabababbccaccbaacccbcacabcccaccbcacaaaccacbcbbaaabccaacbca
+ccbcacbbacbaccccbabbcacccaaabcbaababcaabaacaaccacabccccccabaabaaaa
+cacacbacccccbbaccacaabcbccaababacaaccbccacbabcbabbbbaccaaaaa
+cacaabbaacbbaaccbacaaaccccbbaacabbbbbaabbacccacbcacbccacbbaccab
+caabcaaaabcbcacbaaabbbbc
+bbacbbcbccbbcabbbbccbbaccacaccacccbacbacccbcbbbaccbbaabbacabcbaccbcbaabbcbbbcaacabccbabaaaabaacabaaaa
+aaacccbcccacbbbabccabaabaccabbbbac
+bacaabacbbbaaaacabbbacacbbbcbbbbbaaccbbacccbaacbbabc
+bbccaacccababbbbaabbabcbcca
+cbcabaaababbbcacbacbababbcacaaacccabcbbccaacabb
+aaabacccacbbbcbacabbbccbccaabccabbabcccbacbaaabccbbaaccbcabaaabbcccacaaaccaaaccabcaabcbcccbccaabbbcacabc
+cbcaabcbcbabcbaccccbaccbcaaabbabcbcabbbbaccbbbccc
+cbaacccbaaacbaacccbbbbbaababcaacabacbaacbacaaacabacccbbbacaa
+ccbbbcabcccbbaabbcbbbbaaccbaacacbbbbbbbcbacccabaaabbbcbcbcabaaabbbaabcbcc
+aabccbcbabaabaaccccbacbaccbcbbacbccbbacbbbaccbbcbcacbbabcbabbbaabacbbccbacbbacacaacacbcaacaacccbacabcbaccc
+ccabbabbbacbcbaaacbbccbbcacccabccbcacaaacabacacbcaaccaccbbcaabbbaaccbacbaaacabcbbabcabcabaaaacacc
+acccbbcbccccbacccbcacccbcaaaaabbabbbccaabacaccbaabaaaabbbaccbaacacbbccbbcbbabaacccbcbbccbbbaba
+acabbcaaabbbccbacbcabbbbbcbcabb
+aacccacbbcccbbbbbccbcaacabcbabcaabaaacbbccaa
+aabcacacabcbacaabcabcbbaaacbaabcbbbbaaacaccccacbbbcacabaccacac
+cbcaacccaaacaccac
+aaacacbcaaacbaabaaaababccc
+22 5
+aacbddadacbccbdbcdacdcdcabbdbdbbc
+ccdcadbaccbddcadacbcdcddbbcdbbdccaacadccddcabcdcacbccbccd
+ddccaacdbbaabacdbccadbadcdaabdcdbbaddbccbdccdaacbbaccddbccabccc
+dccbaadcaaaabbcdccaca
+adbabccdadadbbcbcddccaabcbcdadbbacbdcbdbaccbbdacadcccbdbbc
+dbacdbadaabcdbacbcdbabccddaaddcbabbdabddbaddddcabbabccbdcdcaacdcaacabbcbbccbabadbabbdaccdccaa
+ddbaabbcaacbccacddbacadbcdbdcacbcaacbcabcacddcdcbadbbccbdcbdbdbb
+dbaaddaaabbbcddbaadbbabddbbcadabababdadccdadccabbcbcacacbbdadaacddbdcaaaacdbcdcabddcdcbacbbbaabcccb
+dcdaabbcccdbbadaddadbacbabbcddcbcbdcccbdcdabaadadbccacadacbabbcdcdbbdaabb
+bcadcbcbdcccbaaabbcdcccbbcbacadcbcdcdbdccacbbbcdaccaabcbcbbbbbdbcccbcbbdacc
+bdbbcacadcaacd
+bacddcccbcacaddaaaabdaacbcabddbacbdccc
+acbbcdacad
+bdcbcacacbbdacaabbadcacdacdcbdaaddbadaadddacbadbdddbadbbbdbaabcabbabddbbabcbadbcbbbbabdababcda
+dbacbdacbcccdaccaaaccddbbaacacbaacccddacbbcdabccdbccddbc
+bcaabadbddacddcbadddaabcabdcabbdacda
+dcbacccdbbdbdcabcdacbddacadcbbbbbcbbdabbdbcbacbbcadbabbcbdbcccccaccdacccdcbbbdbccdbccdcdcbcdadbbddbdacadad
+dbbacabccdabcacadcdccaacbccabccddbbdabcaddddbdddcbdadbdbbaddaddac
+addcabbbbca
+ccbbcdddadbbababdbabcabaddaaaddcbdbcddadabdcbdcaadaacdcbabdbacabadadbddaacbdadcaabccacddacbcdaacbd
+aaabdbddccacbdccbaaacbbaaccacaabbbdcadbbcdaaacacabcdccd
+dadabddbabbaccbacabbdbacbdacdbcd
+299 75
+abdbdaaacaddbcdaddccddaabbaadccadccaabadabddaadaa
+dccbabdaaacacadacdbdccabdadabbbccbadcdcaaccbbaddddacacaddcacbcddbacacaacdaddbc
+abaaddbadcabdadddbaccdcbbadaaccadbaabdcadccdadcdddaacddbcacdbccbbacdcdbddbdabaabaadc
+bdcbcbcdcbbcbcddbabddcadcbbdabbddbcdaac
+bdbcbccaacabdbbbcadddbaadbddaddcbcdcbbccaaabbddb
+caccadadccdbcdaaabbbcbbcabbddcbdcacaac
+cbaacdbadcaacbdcacaabdccaddbbccbcdcbbbaadbbbcbccdadacab
+cbacdabdabdabddddbbddacdacacdadddbddbdacbacaca
+dbdcbdaaddccbbccccdddbcbbccaabddaaacccdcaadabdcacdcabcdcabccddba
+dccaadadbbcdbbdddccabaaaaaacdcabaaddbdcbbddadaccbcdddcbaacbbbbbaacddcacbccabbcdbabdabadd
+bdbacbbcdbabbcbbdaddacdadadbdbbcdbddbcadaddddadcddbabdbadacbbbbbcdccdcccadccacaaccbbcdab
+adcdcbbbcdbbbcdbbaccb
+cbbdbccacbccaaaddaaaaccaddcabdcadbbabccccdbccbabdbcdcacdddaddbdabddccdbb
+cbdcbbbccbdcccbaadad
+dbadcaadcdaadbcbbdcddcddddbdcaaacbdaddcccaabdbbdcdacaadabdddaacbcadabacacabbadadddcdcddcbdbcaa
+bdcdcdbbbdacbcadaadabbd
+dcacbaadcbcabacccacaadcbaadcbbbbcbccddcacabacdaccbbdaaabbbccbcacddadccdca
+bbddbaaaddbddadbdbcbacbadcdabaaaacaaaaddcbbacddacdcdbadcdacabbcaddbbcabbabcadbcaabaadcdcbcadcdcbbadca
+badcdaabaabbadcacbacbbacaabdcdbcbbcababdcddaddaaacbdadaaaddccbcabccdcbbbbdbbbbadbddbdaddbaaacabacaaabacdbbb
+cccbaababcadabdccbcdcbad
+bdddcdbcaadadcbbdddabdcddaddaabcb
+daacacdaacdacbccbbbdbcdccadbccbaacbdabccdaccdcba
+aadaddbcddacadabaaadcccadaacadadcdadbadaaaddbacb
+dbcccdaaacdcddcdbcdaabbccbbc
+dcbabdbccbadbdccaaaaddadccccbcaddbccbadbbcddacbabaccadcac
+dbadbaabcccbddbcdcabcabbccaccdacbcbbbddaccababcccbcbadbddccbddbcccacd
+acdcbbbdaddcdbdadddadcdcbacbcaaddadbcbbdadbacadcbbaadbcaabcdcabbacc
+ccbcdbaccccbdadacbacaacaabdbabadbabccadbacbbdddabbadabcbadda
+dbcadcabcccacbddccdccaadddadcbddddcdbaadcabcbbbdadcccadaddbdbdbbccacaccdbbaccdccbaabbccabcadbdbacbbcdca
+bbddccabbbabccbbaaddcdbbaadaaaacddddacbcbcbdddbdbacaabacbbdcabbaa
+adddbdcbdd
+dcbdccbcccbaaddccbadacbddaacbaabaadadccdabdacc
+ccbdabcccc
+aaaabadabcadaacbccdcbadaccddacaabbdcabbadbdcccbabddddbdbabacddacaccbdcbaddcaadadbdcddadadaaabd
+abbdcbaccabcccbcadaadcbaaadcaadbdcbbcbdcddc
+caadadcacbdcabaadadbbbcbaababdabbddcacabbabccbdd
+bdcbcbbddaadddacacdaabdbaccbcdaaddaacdaacbdbbdaaacababdaacbadbbbaabdbcbabccacdcdbdbdcddbadccccccabdcdb
+bbdaddcaccdbaaabacabcbbcdcbcddacccdadadcddabcbccacdaddabbdbbddabccbacaddcabbbccbadbabd
+addcaacabbbdaabccabcbacbdbccaadadcbbcdcbdadcdaddacdccdcbacdabcdcbdbaccddacacabddaccabbbdbcc
+ccaaaccddcddaabadcccccbdcdaadcddddbcadaaabacdccaabdbbaaaccccbdadcacdddcbcdaabcacdaaaaddbcccabdccacdac
+daccabcdaacaabbacbbaabbaacacbddaacaccbaccdccdacdaaccacacbaabdbc
+babdaccadbcabbaabaadcddbbcdadbbcdacbbbbcacccdcbbcbacdcabddadcabdbaaadaaadccbdabbbcbabaccbdacdbdddcaaaacda
+dadbabbdacadbabaabaaacbdabbccdacdadbbababdcbcaabacbaddccbcabbcdadddacaaacabcadbdabadcbdaacadaabccbd
+badbabcbdccdbddbcaaaddacacbbddddbcddc
+daacbadcdbdaadaaacbbcbdcbccccabccaacdbabdcddcadccdaaacb
+ccdbacdccbacbbbdacbddbbddccacccdaadddacacc
+aabbacccbccaaddbbcbbbabcdaabdadbddabddcbcdccddacbcddaacbbc
+bbabacbbbaaa
+adaccccacdacdcdaca
+dbbbbbbdddacbacddbcdbdacdcabcbcbcabdbaaaaccbdcbddcadadbabdabdaddbcbddbdbadababddcbadacddbaacbcdaddb
+bacabaaaabbcbaaac
+babdccbabdacbdddda
+cccdabaddbddbcbddcacdcbbcadaaaacaaacdabccacdadbbbccdcccddaabcaca
+acbadaadbaddaddacbcccadabcdbbdabdacbcdabdaabbbdcaddcbbadbdbdbabaddaccdcbaadcdda
+bddacbbbabddbacaaccbbbcbdcacdbbdcacbddcdbadacacbacabdbaacbdbdcdbadcacbacdaddadcbbbccbddb
+adaacacbdcdababaaaadcdcb
+bddcabdbbadca
+dbbbacbbcbdbdaccaddcdaadbcdcbbabcddbddcaddcdacdcadbacbabcabbaaa
+bcbadccdabccbadccabbbaabacbabcddabdddcbbbdbbcbdccdddadcdabbdcdbacadaaabccdad
+badbababccbbccbdbacabdabbbcdcaddbabdbaaaddcacaadacacddcddcadcdcdccbdcbcbbbbcbabbccdddaadadadccadbbabbab
+cddcbcdaccacdcbcccdaaccbabcaaaabcdabccbddbbddbdda
+caabddbbaadacacdccdadddbdacacdbcaaddaabbdbaddbcccbbbcddccdbbaaccccb
+abdccabcbbbdbcabacbcddbdcbaccdacdc
+dabcbdcddabadbbccabdaaabacadaad
+dcbbdccccacccaabbcbbacbcbbddcbddbabaacdbbabbaaddcbaccbd
+dccdcbdacadbaacbdccacbacacddadc
+ccbdbddcbdbbddcddbdacddcaaacdcddcdbbdabcadacba
+adbdcccacaadbbbcaacbacaacbcbcdcbaabccbabdddadddcddcadcdbdbcbcabbdcdabaddbbdccbdbbacdbadcd
+bddbadbdcbbcccdbcacaddddbcbbcdcddbadcdaabbadbacdcdbcacbbbadbcacaadccacadaacadaabdaabdcbacbcbaddbd
+bdcabaabccbddbbcbbdcdbbbbdbadbdabbbdcabcdddcbddaaabccbccdabcbdbdadddbacaccbadbdccbdccddcadadddadac
+bbadbcdbbaccdaaaccccaddcbcacaabccbaddccacbacdbaabacbbccadaccacbdcacdaccaadbccdddcbdcabb
+dbcbdcdbbbcddbcdbbbbcddbcbd
+bacdaacbbbaccbdbccbacddcaabbaddccabacccddabaacdaadbaaadcbbbabdbcbbcaa
+adabbbcacacbbacbccdbcaacbcdbbbddddcbdabdbcccacbdaaabdabddabacaaccbcbaaaacaadcbdaadccacbdadccaddddbbdbcc
+aadaccdbbbbbddccacccdcbbdcadcbcbdaacbdcdcdadababcdbcdbaacadccaccacadacdbbbbbbccbbcccdcad
+acbdcacdcddaccbabbabcacbbcadcdcbddadbabddbdabbbbadcaacbbbbcbddccddccdcabaaddbccaccacddcdaba
+dacdbaadcccacaadbbbcdbdbaabbcdbdaaadcdbaccbcbcaaaadaacdcdbcb
+cbabbccdcbcdbdaddcbdbaabacdaaabbcbcdcbadaacbddddcbbbaacadcdcccbadabbdcbabadabddbccaabacabaab
+bcccaadadddaddcdadbdadcdcbbbacaabdcdbbcdbaaaabbdadcbacadddadaacabcddcacbcaccbdbdbdabbacddcdddadadbcdad
+dbadbcacddcaadababcadadbbdbddababbaddcbdacbbcbdbcdbbddacc
+cdddbabbbbccbdbcddcbdcccaacadaccdb
+dcbbbacbadcaacdccccacbcacdaacabbaddbcbcdcaacaacbcbcbcadbdac
+bdcccdbaaabcbaccacacbaadbcccaaaacaa
+abdddddabacaaaabcccccdadbaddaddcbbaabddbcbacadbdcacabdcacdadaadcddbbdabdcbdcc
+ddddadcddbdcacdacccddaddbbcbbbadbcaabcadbcadacdacaaaaaacdababbdcadaaddddadccababdbccaadadaddcdcbdbbcda
+dbbdbababdbbcbaddaadd
+bbacabbbbcbcbcbbaacbaadbddc
+daccdcaabbabaaacccccabccbbbbdabcbdcbbbadadcdbbdadaadcaabcadbd
+bccbccaaabdadacbaddcacadaccbcddcbcabbaaddbcbcddbcddcddbcbcbcaabcabaadc
+dbbaabbbddabcacdcddccadaabaacbbaccbbacbbcbdadacabdaccccbbbcdabaccbbadddbccbdadabddbdbbbccdbddbbdabddbbbabcd
+bbadbaaabbccbcbaacdacdcbacaddadcdd
+cddabcdcdababcdcbbcbccbbdcbbaabbbabbdcaacdcbaaaccdddddcdbdbadadcacbcab
+cacdbbbbaacbadbbcadbadcaabadccdadadaddacaaddacdccbdabbccdbaabddbacdccbaadbccbcaaabbabbbdbdcabaccbcccbcca
+badbbcaccbacacabddbcbccbcaaaabdaacddacacaabdaadbdcbcbdadcccabaccabadcbcdaddbaabbabcacbaaaacbabcdddccccdccbdcd
+aaadbcdbabcbabdccdccdcdddaadccacaa
+abadacbbdabcdccdcccbbbdadcddabdadbbabcbabbacdbcdabdcaadbbabbccabbddcbbabba
+badacacbddaadcdbbaaadaadaaaadacdbccbcbbcddadacbccddbcaddd
+adaaadcdcbcbadacddadaccaaddaa
+aacdcddadaddcdbdbbbbcdadbccddbcbaadddcccddcdaaddd
+bbadacdadaddcbccddbbbdcaddaababbacdddcbbdddbadccdbbdddccbcbccdcabcbbbcabaddcdbcbcadaccaddcbdbaccddbc
+babaabadbb
+daadaaaabbbbacacdadaadacacdbadcdadd
+abacbbaacccddbcdcddbcadbadbbddbbbbabbbbcadaccddbcbbbdabcbccddadccacadaabadcbdbddaacacdaccbbddb
+ddcddbacdcbaaaddbcadbabdbdabaccb
+adacddaccbdbdbaddabdddbbbbadcbcdcabababccadddadcccacdcdcacdbcdabcadadcdbbddccbadadbaabccdcdaa
+dccdaddacdcddbcdbbbdbaaccccacddccabdddbcbddcccdcdabdadbdbdbdbdba
+daddadadbbdccadabcdabdacdbdaaaaccadbadbbaaabccbccbcdbaaadabadca
+acabaacabdcdccaabccbbaadddadaabbcbdcc
+bdacddccacddaab
+cdaddabccbdacabdcbdaaddccbbacabcbbaaabaddaddbdaacbdbaddccbaccbabdaabcbaacbbccbd
+bbacaabbaadbbbababbbabddcbcdaaaaabaddcdaacdcbcdbbbcbddccabdbaddabcabcddcb
+daabaaaddcaadbccabbbbbbacccacdaddcddcacacccacdbccacacacbadccabaadbbbbabdcdaacdabbacbdcc
+adccccbdbcaaddaadcdbcadbdbcbaabdaaccdadacddbbdbbadcabcbaccabdbbdbcaddabdccbdbb
+bccadaddacbcbbadbaaacdacaacabaddabbdbbabac
+ddabaccbcdabddaccabdbacbcddbcdaddcdcadda
+dddddaacbcddbbdacccdcabcbbcaaa
+acdaacadadbbcddabcbbccbacaacdadbccdccccbaddcdbcccdc
+cdcccdbaccbdcbbabbbdbbddaccddcdcbcacdcbcdbdbccaacddcccdccccabbabcdbaabaabbbcaaaa
+dbacbbbacaaabaaacacbccbbaccbcdadddcdbdbdbdadcbdcabdbadaabd
+babbbbbacdcaadccaadcbaaabcbcdaabddbcdabdcdbcbaadaadcdbadabddbddaabdb
+abbbdbdbaaa
+bbaadabcbadabdccdbddccdbcbdbdabddacdaabbdcdccbdcdbbdccadcdbbccbbcca
+badbcbabbbdcbdddabdddabddbccddcbdbabcacbacccaaaccadadadcddcbbabccbd
+bbabadbadaaaadbddba
+cacdaadcbbadccdcccdaddcabdbbcacbccbcddbaaddcccdabbcbcacbbacbbcccddbbdbbaacabcddaacacacdbabbaad
+dddddaadbcbcbdda
+babddccabcbbccbbddacbabbaadcbacaadddcddabccbadadcdcbbbcacccabbc
+ddccbcabbcabcbbcccbdbaaa
+accccabbbcbcacaadcabdcdccabacbbdacccbddccccaabbdabdbadcacccccdccaaccbabcdcaddbcddaddaaabcca
+dabacadcabdbadcbc
+ccdcbaadabddbaacccbcdcbcadcccdddddadcabdabdbacbccbdcaddbabcdabdbbbaaacadbcdacaacca
+bcccacbabadacbdcddbbdcdcbccacababcacdbaacccaadbbdbbcdbaddac
+cdbdbbcdddacadbddbcddcdd
+baacdddbdabcabcccadbaadbcbabadccacabcaaacdccabcbadcabaacaabdbaaccadadaaddbddbccbacac
+aaccadbdcccdaadbdc
+acabdbadccbabcbbdacbababbcbccdd
+cbbcbbdaacbbaadccbbdbddbaddcccbddabbcdccbddacccdbbbbadbdacbbaccabbbbcadccdcddbcdccbcabababaabdaaaab
+acbbbbcbdbbcbaadbbabdaaacddacaaaadbdbaaaccadabcbbbcdcdbdaabdddccacbabdddcc
+cbcaacccbcdddcdddabadaabcbbacacabaabcacaccdddddddbbccacccbbadcccdcaacdbdadaddbcabdcadcaadba
+bdbdaccbdbcda
+bbdbacacabaddadddbdcccccaaaaacbbcacadcdadcdc
+ccabdccacbbaddadbcddbbadabcdabaddaabcccbabaaabadabcbddabbaabbbabdabcdbdcd
+cdcddcacadabdcccacacaddbbbbdbdaadccbdadcadaccaadddadcbbbdcadbccccbbadbdbabaacc
+bbcbadcadccdddac
+bdcbabbcabddabacabadacbbbdaadaacbcbdaddabcacdbacbadaadcdadddddbdbdbddd
+acaacbcabcdadaacdaaabdaccacdbcbaacdcccbbccbbadaaccabaddddcbbaaaaacccbba
+acdacbadbaadccbbadcdddcccabcaacdcc
+bbbdacddaabdddccaadcabbadacdbc
+babbacddddaccadaaacacbcacdbddddbbbcabcbbbbacbbddcbcabcacaabacaabacbcbcaabbddbdcddbbcdabcdcbbdaaadcdccabc
+acbdaaaaddacbaaaacccbccbadaccabcdacabbcddbdaaddcbdcbaaaaddcccdbbcbadbacbdcbddbd
+ababaaadbcdaacbaaadabbacdbbdcddabaadcadadbadcadaddaccaaaaddcbaabdcacacbdcb
+bbbddbadcbacdcaabadbdcacbbbadaacbcddbabdbcccdbbbbbdbccdaaccbccdabbaabbcbcbcbcddbadccaaabccdbbbddbbbadcdbaaaad
+bddcacddcaabacbcadccbaddccbcccdddabbccbcabaddaabccabbccaacbbcbabdcaaa
+cababadbadbccbbcbcdbdaccbbacaacbcdaaca
+cbbccaabbacadaabbdaadcdbccadbdaabdaaddadcbababadbcccbccbcccdccdbaabbdaccacaadcdbcaaccdacdbaabcddda
+dacdbbcdccdbdaababdbbdbdddcbacaa
+adbbbaaaabcdaccddbcbaca
+cabbcdcbdcadddcbbbbcaababdabcdbaadcbdbdaddbbbbb
+bbccbddccbdaccdbacbcdccdbabcbbbcadaaaadaddbadbcbda
+cadcabadadacaadbbacaacaacdbcdabdaaaaadbdabacddcbccdbbc
+adabbbbccccdcbcacbbbbbddbbcbcbbbabbdadddacaacbdbcaadbdacdcaaadbaacadabdabbbaacadbcccaacdddbbdcaabdadbcc
+badbdcbbcabbbbccdaaaccdbcdcaaabdcacbcbbbcdcdccdccdbccc
+ccddcbccaaadabbbddbdcabacbbdaaabccdbbcbccacdbbaddbdacacbdbccaabcdd
+aacdbaabaddcdbcbbaacbaadacdcbbbaddaaadadcdcbdbdbca
+aacaabbddbacbabadcbdddbdcdbccbbacadbacacbbbcddcbcacccdddcbbaaaaaabcdbcbddbdddddcbcdbabaaccaacaacaacaaabbc
+dcdadaccdacdbdbdaadcacdabadddabaaaddcbccddbdadcbcdaacaacabdda
+cccbdbcaabdbbcdbadbbbaacbaacbbcbccaabdcaacccacdcaccabda
+bbbcabddccadaaccdccbbacdcacaabbaababdacdcbdcbbcdbdbcdddbdddbaaccdabdacbddbcabdbdabdddbdabcdabbdaccaa
+bbaacdcbcbcbddbcbcbbcbccdbcdbcdabcaabacaaccbccabdbbbbabdcdbdabbbabacbcb
+bddbbbbcbcabdbabddbacabacabaccadddcbaabaccdcdbddaadabbbcacdaacdbaaaccdbbaacdbdccdca
+dcbcdbabddadcdcddddbcbbaaaacdbbabbadbdccaccbdddddbaadbacccccbaccabdcddcdbcabdadbdaabbdbdcbddcbbcacbddd
+bccdbcdbbbdbccacdbbaddaabbdcbaaabbddbadcdbaabcddcdbddbccabbaddcdbdaddbaa
+abccbaabbbcdacdbcaacdbdaaacdbbbcddcdccc
+adbbdcbabacdcabddaadaadababcdd
+acdbabdcccbcdcbcacacbcacbabbbadbdbaddbbacbbadaabbcaacbbabbbbabbadabdaaddcaad
+cdaabdbcddbaccabbdcbbdbddbabbcbabcdabdacadbadacabdcddaddcadccaadbcbccabccdbbbabcdbdacbccabdddabcbcba
+badabadddabdbabbcbcbcbbbaddcabacbbcbccbdaacdcadabdddadaabbdaacacadbbdccadcdcadacbdabcbddcbbccccacbdabbcdadaa
+acbccaadbddcabaccbdadcbabcadaadcbcccbdbcdadbbdacdcbdccddcbabbbcccacbdaabbaadbdbbcccacccadbdc
+dbdcbbdcaabbcdaaaaacbcbabbddcddacbbdccadd
+dcbaddadcabcbccddaaddadadbbbba
+cbbbbdccccbdaaab
+cccdcaabbdcddcadbcbadadaaabdcabdbaccccababbbdbccdabadbadbcdbbd
+adcdbacaacdcab
+dcbadddcdbbbaacbbdddbdaacbabdabbdacbcdcbabcbadabaacddacdabcbd
+dbcaaaaddcdacdabdbbbccdbddacbaabbdcdbdbcbdaddadbadcadbbcacdbabcccdcccddddcdcdacaccccdbcaaddcdacd
+accbcdadcbadaabbadaaabaccdddd
+dbaabdccbacbcbadbaadacacbbabacabdbcbd
+cdbcccddddcddaadcadaadcadabaab
+dadaadcdadaadbacbacbaccbaacaaadbdddccabbbbbbdaababadaadbcab
+bccaadcbcdaaccdaa
+adacbaabcdbcadbacbcadacbccdcbdbaaaccaddabcdacaaacbaadbddbddcbddbabaabacdbbabaddbbadbcbaddcb
+babaaadbabccbccddbbbbabadcbccaadacdaccddcbdcddbaacbabdabcadadccc
+aacaccadaabbaccababbbbadbdddccc
+ddabdaddad
+bcccaabaaaacadbdabdabcdbbbaaccad
+dbdcabcaacddabdaddaabbcbbcdbbbdcaddcdcddacdccdabddaacbdadbdcbadabbbbddcccbdaada
+bdddbaaababbaaacdcddbdadddbcddbddcdbcabdbbccbaaadabcaacacdbdacadcaaacabbb
+abbbddcdaacaabcabdbdbdbdacddbadcaaadccbc
+aaacacacdaaacbcaddbaa
+bdccdccaacacccaabccacbbdbcaccbdadddaadcacdcdaccd
+ddccbcbcbdbacaabababcbdcaaccadcbaaabbdbdbbadaddaabcccddd
+cdaccccbcdbdbadcaabccddaaababcbacbcbddaabbbdabdaacdaddccccaaaabaaaabdaaa
+acbbdbadcbabdaccdbaccdacababbbdddbcdddcdddabbadbdacccbbdbddabcabccbaacccaa
+bdacaabdbcd
+bdabadcdabddacbbcbbcacadccbbcdccddcacbdccdadaaacddcaacddccbcbabbcda
+cccabbadddbcdb
+dacacadbacbbdacdbcbcadbdbbcdabbdbcbdaacbbadbddbbadacaadadbaadaabccbbabcbbbccaccccbdbdcbcbcdbaabdacbdaad
+dbbdbddcdbdaccbbcab
+bcabcaabcabaababcbdabdaddcdacbccdadcacabbcbcabcb
+cbbbdccacabcdadacdcaacbabbbddacccdbbddacbcccbcaddbbdbcaacbbaacdcaadabadddddcdbdcadcbcbaabbbbbaaaaacbacbac
+aabaaabadcaaacdaddadabccbccabaacaacccbdaadaaadbbbabbbadbbcdcdcbcdbdbddccaacbbaabbacabcdccdcca
+cbbdaabaacbaccabadbbbac
+cacaacabababacabbddddddbcddbadbdbccbdcdabcbdcccbcddbcdddadaadbacdbdadadbbaadbaadbacdcddcacbbb
+babcbabccbcbbabbdbddccdddcbbddcaabccbbddbcadcaddcacacbdcaaaccbacdcabcbbaacc
+babacdadcddbcccdadccabcadabbaabdddbddbbcabcadccbbcdcabbcacbcadbcdbbdabbacccaacbbcabdaccbaadabbcbcaaaabdcbcbcb
+aabdbdcdabaaaddbaaacbbccadcd
+dbdccbbaabaacccdcccddaacacbaacdcabcbacaaadbdcdaabacbbdddadbcbadbdaabbbcdbdabdadbcab
+bddcaddacdbdadddcacabaaacbbcabbccbbdccbdaababccdddcaadcbcdb
+bbbabcbbaaaabdaaabdccaddbdccddcaacaacdabacdbcdcdcdddbdacabccadcacaaaad
+adadbcacacbaaadaadadacdacdcdabdcdd
+dbbcabdadbbdbbcaaca
+baadccbdbbdcadbaddabcbcbddcaddbdccacccbadcacddbc
+abddabbdbbaaccdddacbacbadcbbdbabaccabca
+bdabdabadcbdbccddbaabbaccaadcbadbabbdcdaddccdbdccbdcbbadbcaacbaaacbcbbddd
+cddadcdcbdaababcdcbadadbcbdbdadbaacccb
+caaaabbadddadccacdbcadccaaaaabbbdbcddcddbcdcacdbbbbcbcbacbddbcbdaaaabbdcdabdcbabcadcbaaccccabdcabacccdadaa
+daaddbbbccdacaddacbbbcbcdcacccddbbcaacbdaaddbcdcacdbbadcccbbcaddbaccc
+cacdcdbaaaadaccaabaacabacbbaabbccd
+abaabbdacdcabbdcddbbabacbbcbadaccdd
+cddbacbcadcddbbbdd
+bbcbbcbbdbccdbbacddaaacabcbaccbccdddbdcdaabdcaddabcacaddddcabcbbbbabcbdcddcbbdcdacbcdddddacbadcbddcbbbddbbbab
+cdddcacababadbccbcccbddacabaadbbaccabbbbddcd
+dbccccadbddcdbcaac
+ababcaacabbadaabddadddabcdadadccabadbacbdaaabdcddadaaaaadccadbdccacbacdacbacaacdccccdacbcbbbbcaa
+bdbcccabaabccacdb
+cdaabbddcccbbbaabcbdddbbabbacdddcaddcddcaddcbdccccadbaddcacdadabbcbdadbbadbdddddcadbacdbacddd
+daccdbbdcdd
+cccaaaadadcdcddcdcaadadbabddcdcacdcdadadcccdcccbacacadadcdb
+cabdcbcabcdabadacbacbacabdaddcacbdcbbabbaadbdbbcaccbcbcdddddbcaccdccc
+bdaddbcdbcaccdacbacdbcbdadccacadddcdcbbddbacdbaccddcdaaadcdad
+cbacddcddbdccaabbb
+bdaaabadbbaddcbacddacaaccadcdd
+bccabaddbdddbccdbddbcacaaddacbbaaacdbcdcbaccdccaaadcdabcd
+dcbbbcacdcbadbcaacdadcdbdcccbbcdcacdcaddacdaabaabbddadbbdcbccdcdcbdcdcacacdaabbdbadcaabcbcbbcab
+cdddabdcaadbbbddbbbdddaaadabcdabddbbccbbdadbbcadadadbacbcbbdddcaabcabbcbadabaddbdbdaabacbbbaaacccdcbdccbcacb
+cbaadcdbcabcbcdbbabadbadadaabcddbbbdcbbcdbaccbadacbcbbbbaaacbdbbccbccbcbababcbbdcdcbdbccbdbbbcddcadcadbcaa
+dcdbddbaccdccccdaadcdababaccdbcdddbacabddadbccdbcdadccabbacbbdacdadcccdbcaaadc
+cbccdcbdcaacbcdaacbbaa
+addadaddadcccdcdcbcbdbaddabdddaddababbcaccddabcaccacdaadacacaacadadbcabdbcaddbabdbbaddbdddbbdbbbccc
+bacbacddbabbabacddbddadbcbbdabbacacadabdaadbaadbccdacdacccbaaaabbddbbbacabccdcddadcbaabadabd
+addbbdacccbacddcdbacacaccddccadddacbdbabdbbdbdccccbaadacc
+cddaacabdcadadabaacacbbbbca
+aaddcbabccbbbbcadaaccaba
+ddddacadcbdcdabbcbddacbdaadccacbd
+cbcddddaadbbbdaaaaccbaddcbdbadacddddbcbbdbdccbddbbaddcbcaabdbdbddaddabbcddabaaababbdacdbadcacadbdadb
+dcbcbbccdaaaadc
+bbcbabbdabbacaabacabdbaaaaccbabccbccacabdacbdbbabddabaddbbbcdaadacbcbdddcbcacdcbbcadbbbdbddbaabbd
+addbaaadcddbdaccccdaabcbccbbabdcbdcdbaacaacddbadaadbcdddaaccdbddbbbc
+ddcdaaabaabaaaaaadddadabacbadbcacadbd
+cbccdadbabaacbbdcaacadcbcbbddbabbbbadbddcbcdacbcbccbdbbdbaabcbdbcacbbddcdbddcacbbbaccdccbbcdadadbabdbcabc
+ccdadaabadcdcbadbdccdcd
+baacddccdbaacabccadbbbdcbddbcacdddbaaacadcbdbac
+dadbbadcdadacaddcadcdddaadbdcdcbadcddcacabcdaaaccddaaba
+bbadaaadbdaabdccaaabcbddcbbdaabacbdacbbbaadaaccbdccddaccacdaacadbababcbaddccacbddddaabbdbbabbababdcbcc
+dabddbdabdacbaddacbcbabcdbcdddcdbcdbccaadcdaaddcbcaccdbbdccbaacddbbcddacddbdabdadccaddcdbcbbcdbbdbdbccdddbdd
+dbbbccbbddcbdbdcbdbcbdacacabcdbbbdbdaa
+dacabbdbccabcdbbbdbddddbcdddadaddbccddcabcccbabdadbbbbbbcddcacbbdadacdcccdbdcadacabcbacadbabaabaad
+dacdcbdccaaaaccbcbddbaaaaadadcacbaccababbaa
+ddccddcdbcaddaa
+ddadabdcdcadacadcddcdbcbdabbbabcccddacacbcaacbaddcaaaddcbdcccaccaacadbabcdaadbdddacdcbaccacdad
+abcccadcdcadbb
+bdccdaccdb
+cdcaccbacacddcbbccdbacaddddadbaccadaddddd
+bbbbdacdccaaaaddacbccbccacbdadacabdddddddbbaaacdbddccabdaaccdbdbabbcbbcddbadaabadabccddccdabaccaddabddabb
+cdbaaaccbacdbdacaabaac
+ccaabdcdcccbdccbaaabccabbbadbdbdcdadccbbccbbcbaaba
+dbacacaaaccbcababcbbaabdaa
+caacadcacaadbcbccabacacaccabbacbcdddcaaabacbdbccaaacbadacddabcbdb
+bdcdbcbcbdbcdaccbdabccdabacbaaccadbcbbdddbabcadcc
+cbbabccbdbccdcdbccbcccacbbacbcbbbccccacbaacadadba
+bdacdbdacadbdcadadaacacddbbdbbbdccabdabbacbadccddcaaaccbabcccaaaccda
+cdbcddcbddbcbbcdddabacddaacbacbccdcdddabacbabcaaccbdaacbcaabddaccddbadbacccbbdbdacdbdddcadaacbaadcadcadcc
+babcbbbbbcccbcbccbb
+abaaabaccaadabdcbbbdaddcbdddcdbaadadbbccaa
+cacdcbddcddcabddbcadbbccdcaacdbabdaaacbccbccbacdabcadcddbcbbbbacccdccbdbcdacbdcdcbbbacabbbc
+bdcbcabadadbdbbbdb
+dbaddcdcadcacb
+cbbbbdaadadacc
+ddabcdcdbaadacbccacabdbddbcadbadcaddadcbaddbddbdadabcdaacbbbdddcabdbcddddb
+dccbcbcccbddbcdbaaaacddadadcacddbbddbadbbcdaaddabdcadbccbabbaddcbaabbadbbabbaabcccdaacca
+abcadbbddcaadcacdcdaacdacddcdacdadbcdacabdbbcacb
+daadabaaccbcacacdcabbaacaadddcadcabacbccbbadacbcccccacdbaddacadbdbd
+aabcddcdcbaddadccbbacaddaabcaaaaaddbcbbabcabbbbccbcbcaccdbdbbddabccbccdbdbdccdbdabcdbaabcbabdccbc
+babbdcbaacdadddabbacdaacdbadbadacbadcbdabcdcbbabcddcaabdcdcaadcabcdcdcacaacadacdcccacaadddc
+cdadbddbdbccdaddbaabcdaddbbadbdbbdacaadababcccbcdabbbbdacaadbbbbdacccbdacdaacacdacdabaadacddcacc
+cabbcdcccdcbbdddadbccadcadda
+cdccdabcdaddabddbacbbcabbaabcadaddddcb
+cacabcdbccccadaacbbdcddcdcbadddcbd
+cdaabcbddadbabcbcadabdbcabcbbbcadadcda
+154 115
+acbdabdccacacccb
+cccdddbcdbaabcabdaaacdbadd
+bbbbadcccdbdadbcdcadcdaabdcdbbcbdbaaccaacacaaacccbdaacbdcbcaccabacabbdcccbccccaddccabbbbcdcdbc
+cabdbcbbcabacbddaacadacdcaaacbabaadcadddddcaddcdddcdbadabadbdacadcbbcadbd
+daccaacdbdddbddbabbcdcaccdabbdccabbaaccbcbccdbbcdbcabcbccabddca
+adaaddbdacddadddddcbdbaaaadacdbadbccbdddaccadcaccbddcabdccdbabcddadbbccabadbbaacdabbbabddcdcbcddd
+dbdbbaabbcddcdaddcaddbbbcdcbbcaccdaaad
+bccbccdabdcdaabddbaacccacbbbdaba
+bdabaacaadccadadbdaccbdbccadaacacbdddcabacaacbcbcdbcaddcaaaa
+ddbbacddcacacbacdcbddacdcdddc
+dcabcbbcdddcbacddabbccacdcbac
+cbdcbbcdabbaadcddaabacacbdbdc
+ddcbbcdabacaabacbdacbbcabcaabbcdbbaabcdccdaabbbccaaacaaacbadbd
+cbabcccbdbdddcaccccaaddcbbbcaddcbcbbcddbddcbcbdabcdacbadcdadcabc
+baadcdcaaabdabbdddacbcccccddbcadadbccbbad
+baaaddaadcacddddaacdbaadadcadaabbabbbdbbaadbcdddaccdcbbabcdbaaacddbccacccdacdabaabacbcba
+cacdbcdcdccdbbbbbcdcdbabcdadadacddbbacabcaadcbddaabacbdacbcdcacaccdcbaadcabcadccdb
+baccddbadabbacdaabacddbbcbcaaddccaacbccabdacdabbaabaccccbdbaabccdbbcbdddadabaa
+dbacdacdcddacdccaadadcabdacacdcadaddbcacaddccdabccbaabadbaddddddbcddddbdbdd
+bdacdbdbdaabaacddcadacdbdccabcacbbadcadadcddbcdaabddabdbaaacdbacddccadbdabdadddddcdbd
+cccbddabbdbbcccddbadabaaddabcbbbdaddcccd
+baaccbcaadc
+cbbcdcbcccdcacaddcbaddacdaacbaacdbdcbdababcaada
+cdaacbcacbdaaaddacbcaabcdabcdacaddbdabcdcbcacaabcacbb
+abadadaabdbccababcbbccadaccaaddbdcdaddbdddbacbaaabaabdaabbdadbababbccabbadcdacccabaadaaa
+adcadcacbcbbdccaddc
+bcbaacabddbddadbdaddbccdcbcdaacdbcbaaaaaadcd
+cbcdacbdadccbbcbdbdaccadcdddcdddbbdddadbdaccdaddcddcaacbbdddcbcadaddabdddacadabbdbccbadacbaabdbbccaadddbba
+badddcabdadbacbadbadbabbdcaccabdcadccabaacdab
+dbccbacdbccdadbbcdaababcbbaabacaabbdaabdddddacbddcbcdccbcabdacabbddcbddbdbddacdbddbcdbdabb
+dbbdaddbcac
+bcdaabdbdadcbbdadadd
+bcbadbcaabaadbcbdadbcccaacbaccdccdddadccddcbacacaacbacaccbdbcccbbbddaacbaddaacdbaadaabcdddabba
+dcabaddaddcdabdcabccabcdccbbbbabbbaccbaaaaddcbbaccbbabadddccbbb
+aaabdccdccbaabddcccbabcbdcbccaabddadbcbcddcaabdbbccbb
+caaccccaabacdabbbbbaaccddaca
+cadaabcdbbccccdadcdaaacabbadccbacdabaabcab
+aacbbddbcccdacacbdcabbadcacdbccdcadcdbcabcbddaabddddacbccdbacbdcbcbbbaabbacccbacba
+acabcbcdddccacdcaaddabdbcbaddbddbcbaddcbddddaaabaaabdcbacaacddbaaaddcdcadacbacdabdcdbbbd
+bdcdbadacaabaccdbcdbddba
+ccabbcdddbddadddcbdddcccdbacadaddddbabcaaaacbadbbdcdacabcbcccddbac
+bbcadcdcbbcccbacdcacadbbacabcdcadbb
+ccabbccbcabbbbdaddabbbdccdadaadbbbcddadaacbbdaadbacccacdccaddddbddacbdcaaccacbbbdcbb
+bbddbdcacbabaabdc
+acdaadcabbdbdbdccdbabbdcadcdbcaaccbbdbdabdbdadbacbdbcdbcbcbbadabbabdadaddaddacbd
+bddbbbdadcabdbaaaabadbbadaddadccdbacbcdadbdaadcabcabcaaccdcacbcdbcadbaddcbbbbcadbcbacbbdcadabcadcdadcc
+bbdcabbdacbdcccaacbaadcdadbacacdc
+dcdaabddcdad
+aaacdbccdcbcababcbcacaddacaacbcbadccdadacaadaadacababcaaacdcbcccbdbdcdadcbdda
+cadcbaddcbacabcdbbdaddbcccbcbaabdbdacaaaaaddcdddaccddccbcdcbacc
+baaccadcdbcbbdcdacabaacadd
+bcbbbadcacadbdbbdabacdcabdaccdbbbbadccbbaadaacaacaaacbaddcbdbbadacadcbcb
+adabdccabbdadcdcdcddaabdcadadbbbcaabdccabbbdbddadcbdad
+ddbdbbdbdddbbdcdcaddcabc
+baccaccadaabdbcdacadcadbacaabacdaddbbdcaaaabaabbccaddcaacbcbcbbdccbabaabcaacdbdbbaddddabcdbcbdcbaacda
+cbdcdcbcaadabdcd
+ccdddddcbbaadabaabadccacddaadbdcbbb
+cbddbaacdaccbdbccdbcbdbaacccdaadcbadbcabcacadbdcccdaaccdc
+bdaaaadbddcdbbbabdccddabbdbacdaadcdcdcbcabdabccabdcbdddcbabcdacddacdcaddcdbddbaaccbcdbddcdbbbadacbacccbbbcc
+adadbaddcdadcaadadcbaaaddadcacadccabbaaaacccdcdadbcdbabcaabddbddbccaddcadcabcbadbbacbcdddaaa
+abaddcbbadcdacadacccbccbcbdcdaacabacbcbadbdcddcbccbccabaadc
+bdabdbdbcbdbdddaddbbcdcbbbadbbbbbccdcddaadddaabdcd
+abddadacadccbccddddaacdabddabbdddbbabdbdbbdacaadbbbbcbbacbdbcdcbbcdbdcccdddabcdbdbbcccadaddbbdabcaba
+bdbcacabcdadabcdcbcabaaadbdabadccbaddbabbcdbabaacaaadadcdacdcccaccdbacddbccdddcbbaadccabdadbdcbcaacdddaacdab
+badaabcccbdbbcdaacadaccbacdacddbcadbbbbcdcaabbabadaadacbcdbaaccddcababaccdbbcccdaadbaababacaaccbdcbabadbdcd
+ddcabaabbdbbacbdccacadaabdbddbdddbdbaabbddacabcddaddbdbaacbdbaacbcaacbdab
+ccccddbaadadccdadcddcabcaaacacdbbddcccabccbdbdcdddcccbadbdd
+cdbacccacabadacdacbaddcdcdbddabbaaadbbcacbaaabdadcbbbbdabddb
+dacacbaaacdbbcdcdbcdcacaddabbcdccdcdbbcdadcbbbccbbdaadcccdadbbcdbabaaabbdd
+ddbbccddabbbadcddbdddca
+abbabacaadbdbabcaaabaaddddbcdbbcadbabdcbdbabdcdadbddabcdbcdbadbaabcddddbaccbbcdbc
+bdabcdcaacdaacdaddbdbacbabbcdaccccdccabdbaadaaddcbacbcbadcaacbcdcabdcdbadbdbaacbaacdbaabcacbdbddcabd
+aacdcdbdadbccdddbacbddabbbdccdbccabdadabcddbadcaacabaadaaadaabbaaaaaddadbdbcddbdcbddadccdcbaaccbadc
+bacdabdcadbbddbaacccdabdcdccdadadcdbcbcadbbaddabbbdaabcaabbacdbcbbbcdbabcadcdcddacacccdbccddbbdc
+cacdcadcdbbddabcacaadabdaaadcdaccdcdbddbaaadcaddbbdcdaabbdaccc
+abadddcacdabddaaaadababddbdabdaccadcdabdbaaddaabaccaccdddaddbcdccddcdbcdbbdbcbccccbbaaadbcddaddcabaadaadab
+dbdbdccdddccbbbcbbadcbcdbacbdcaadcbbdadcacbaacbaacbdaaddaccbbdbcaddbcaddaadbacddacadcacd
+bdbbcbacadacddbcd
+daabacccabcabdcadabccbcabcdbdcbdbddbcdbbadbbaadbabddabbadcabdcddaccbaaadcbadadaadcabaccdddcabdbdccaadbbadcabd
+badcdbcaddabbcdcddbdcd
+cbcaacdbcdbddcbacabacbbbacdcabccacdadadbadaccdcbdcadbcb
+aaacbcbbcbdddbdcdbcbacdbaabaddddccabcbcabbdcbbcdabaabddad
+ccadcbdddbabaaadaabcbbacbdbabccbaabcbbaccdacdbabcdabdaadca
+bbbcdbdbcbdbabababbdbcabbddbadcdbdbbcddbbcbacaddbcbbacccbddccdbbabbbdadadabbddd
+abcbbcadaabacdddadcdcbdcdbaaacacccdcdacbcbdcdacdbcbbbdddbdb
+acbddbccdcaadddcacdbbdcbdaaccbbdcadddcacababbddb
+cbdacbcbaabcdbcbddbbbccbcbaaaaacbbbcbbddcaabbcadaddacbcdbbcdbbadbdaacddabbabdcdccdaacdcaacbadabaaa
+bddacbddddcacdabdbbcacdcbbcdcbdacaaab
+bdbcacbbadbdcdb
+cabbcbaddaaccddcdccbaddcdaaadcca
+bdcdadcabaadbadcdcbaaccdaa
+bcbcaadbaacdccddaccdaadcdbababccbccaccbcbaaccdbdbccadcbbdaccddacdaccbbdabddbcdbabaabadab
+aababbdabcabdddccdccadccdddaabbbacaccccbcdbbaabbacdadddabda
+dcdaadacddcc
+cabdababaabcccbcdaddbdddaaadcdcbcacabbccbdcacaaaacdcdcdadab
+ccbcbbbcacbdabcddacabdcbcabadaddacdbcdaadbcbabbacbbdaaabdbdbdaccbddbcbddbdabbdbdad
+ccddbcbbcdabbcacbdcbdcbbdcbadadadbddcadcabdaddcdddccddddddcbaabdb
+cabcbaabcbcadbdcbbbdacb
+bcddbcaacddcdccdbcaaaacccdadbcbddbcdcadaaadddacacdcbcaaabdcbc
+aacdcdacbddaaabccbdaccaddccababaabaaacdbcbbddcadbabdabccbdcbbabacbbcaaccaaddadcaadaca
+dbdadbaacaadabcdadcddacccccbddaabdcbcccdbcadc
+adbbadbaaaba
+caddadcddbcaacacccbcbdacdcababdadcb
+cdbadadbbacacaadcbccadbbaccdbdccabacca
+dabcbbccdcaccadccabdcaacccc
+adccdbabacdaddbdbbdcccbccdadacbbdcbbdacaacdaacccabccabddacacbbacda
+dcbdaaaacdabcddbcccbbbdbbdadbddcdbbbbcbdaaabcaabbbcdbcaaacdddcacdcacaddccaaaccacbbbcdaccabccabddb
+bdccbdacacadabdabcdbacabcacbccbacdddabbccbbabca
+dcdccccdaaccdabc
+ddbbcdbccabccdaacdbbdabbadbacdadbdcdaaaadddacab
+bdcbdccacdcccadbdaaacddacabbcdbacacdcbbbdadbbdbdadcbdcdaccdcbbcdcdddcdcccabbdcabdbdcaddbdaaabdcbbaaca
+ddcbaadbdcdabaaddda
+cacbcaaadaccbacbaddcaacacdbccadbda
+ccaabdddddbcddadbcccdcbccddbbadabcacbdadbadbbdaacbcccbbbccdbbadd
+dcabccbdcabdacccdcaabbcabdcaaaccdbdccdabbbdbbcaaddaaacbdabbacdbbcbd
+aacadadaaababaddddcbdbcadbcacdcaddbddaadbacaddcaccdbbdadbdbcadbbddccbbcbd
+adaabadbaacdabdbcdbabdbbbdadaaabbbdadccddbacddadcbaabbcabaaccdcdddbad
+dbcbdbbddccbaabcaddbcdbadcdbdddaababbddbbca
+daacabcdaddbabcdcdaabaacbdaacbcadaacabbaddcabcabcaccbadcaba
+accaacadcddadcddbcbdbcccdacbacacbcbdcbbbacbacabcddcbbcbadbbbddaaadbacdacacabcbbdcbb
+ddcbbbbabcbcddaba
+dabbbdcacccbddddababaadbaaabadacdccabddcadbcdcbbdabaaaadaaaacbacdccdc
+ccacbccababbaacdcdaabddcabaddcadccdbddacbbcbdcb
+dbacdbaabadadaccaaddcba
+bbcabccbbacdccaadacdbdcbddbddddadddbbaaccdccacaabddabacddcbbbccdadcbbcdccccaadaadbcbddacb
+daababdacaccdddbdadccacccbcdaaccdcbdbcacccccdadabbdddbdcccddcddbdbdadcbabbbdbbddbdaccdabcdcabdaddbb
+bddabcdcbddccbbdbccdbdabadbdadadabbabccaaaacbdbaccac
+ddbbababccddcbbaaadbdcbcccbdbdbddcbcbcaccbaadacbabbdacadbccdddcdbcbadcaaabcadbd
+baccaabdacabbaaabcbddaddadacbbadbdddabdcbbbdcdaaaaddcdbdbb
+dddbbbadbcbadbccadcacbbaadbddda
+dacbbbaccddcbccbbbabcccdacbbcdcbabbdd
+dccbcbbbdcddbababdcbdbccbddabcabddaccbbddcacccccccaaddccdba
+babbcaadbbbcdbbcdbaadbdacbbacdcdbacbbbcacbccacbbadcbbbaba
+caadbbacbbccaddadbbbbbcbccdbaaaabcccdddddaaacacacbdcccabdbbbbdbbbbdadaddcdddbdcacddacaaabcadcaccccaadbdcbdacd
+bbdabbdcaaddbdacaaabcccabbcbddcbdbbadacacdacabdadbadacbacddacbdcacdaabbabdbaaabcbbcacbaccc
+caacdadccaddbacbddbbccacbbaacaacaddaacdb
+acaacdaadacabbccacbaaabbdabbbcbdcabdacaabacdadbcddabdccdbdadbaddcdbbaabbcdacabdbbdcaacaabddadaadccbcbcaac
+bdadcccaaacbadcdddaaddbcdcaaadcddddabdccbc
+adbcdadbdaacddaababccdbaabcbbcddcadacbaabbcdacacabbcdaacddbccdbdabbddcbadabadddacadaabd
+bcbbadcbbacdacdbaddbbabacaabccddbbcbadadcbacdcbddcddaabbcadddadbcacbbbaaaabdaacbadcabbaadbbbaddcdbbcdc
+dddcdaddaacbdbbcdcabbcadcbdbcdcacdabccbdcbccbaa
+cbbaccaaacdccdbcbaad
+bdcabacabcaddcadcbbbcacdccbdbcdbacdcddacdddcacbcacacdabbdbadcdcd
+cdddcbbbccbcddddaabdaabbddbccacbbcdbadddccbbcaddcbacadabcbdbbbacabdababbcacdacdc
+ddbbbacbbdcaccadbacaccdbbccc
+adbdccabcdacabdabbbcbabadbdcccad
+cabcadbbcbcacadbbabbdaccabcadbbdbabbbdcbbacbaadd
+bacbcbaaadbcccdccbacbbabacabaaddbdcdcdaabaadabbdbdaacbcbdcdcdaabdcdacbbadabcddddcdbd
+bbcbbadaabdbcbccdadbbcdbbaaaccbbac
+aacddaaabadccddc
+bddabccbcc
+dadcddaaaadcdadccbbdaaaadabcbbcadccbdbccbabbcdcdabcacdacbacadbbabadccacdcadbabaabccacdcaaadabbcadccbdcacbba
+dcccdcacdabadadabbbdccdbdbbdbccddaadadbcbcbdccddcbcdacbacdbaadaabcaabdcdc
+abababbccadcdcbaabcaaadcdbbcacabddccdabdccdbbdbbbcbaacbdbabcacaddddcadcdccadab
+31 23
+bbbaaababaaaabbbbbbabbabbababbaba
+aabbbbaabaaaabbbbbaaabaaaabaababaabaabbbbbaaabbbbabaabbabbabaababbaaaaaab
+baaaaaabaaabbbbabbabbabbbaabaaaaaaabbaaabaabbbbabbabbababbbabaaabaabaaabbababbabab
+baabbababaabbaaaabaaaaabbabaaababbbbbababbbbaaaabbbaabbbbabaaabbbaab
+bbaabababbaaabba
+abbaabaabbbaaabbbbaaaabbabbaabaabbbbbabbbabbbbaaabbaaaabbaaaabaaaaababbabbbbbababaabaaaaabbbbbb
+aabbababababbbaaabaabbabaabbbaababbbababbbbbbbbbbabbbbabb
+babbaababbbbaaabbbbabbbabbaabbababaaaabbaabbaabbabbababbaaaabbabbbaababaaabbbaaaab
+baaabbaaabaababbbaaabbabababaaabababaabababaaaaabbbbbbaabbabaababbaaababbbababbaabaaabaaabb
+aabbbbabbababbbabbbaaaaaaabaabaabaabaaabaaabaaababaabababbabbababbbbbaabbabaaaaaaabaabaaabaaabababab
+bbbbbababbaaaabaabbaabaababbbaabbbabbbbbabbbbababbaaabbaaaabbbabababbbaabbbaaaabababaabbabaaaaababbab
+bababbbaabaaabaab
+aababbaabaaabbaababaaaaabababaaaaaaabbbaaaaabbbabbabababbbaaabbbbaabbaabbbbabaabbbaabbabba
+bbbaababaaaabababbbbbbbbbbbbbbababbbb
+aabaaaabaaabaaabababbbbababbbabbbabbaabaaabbaabbaaabaabbbbaabaabaab
+baaaabbbabbaababbbbbaaabaabbbbbbaababbabaaaabbabaaaabbabbabbbaaaaabbbbbb
+bbbabaaabbbbabbbbaaaaaababaabbbaaaaaa
+aababbabbbaabaaabbabaabaababaabbbabaaaaabbbaabbbabbababbbbaabbabaaabaabbaaabbabaababaaba
+abbbabbabaaaabbbbbaabbaaababbabbaaababbbbbaabaaababaaabbabbbbaaababaabbb
+aaaabbbbabbababaabaaaaaabbaaabbabbaabbabaaaabaabaaaaaabbbbbbbbaabaabaaab
+abaabababbbaaaaaababaabaaaabbaabbaababbbbbbaabaaabbababbaabbbaaababaabbabbbbaabaaabbbbbbabbabb
+aaaaababbabaabbabbbbbbabbababaaabbabbbabbbbbbbbaabbabaaabbababa
+abbabaababbaabbaaaaaaaabbabaababaaabbabbbaabaababbbab
+abaabbbabaabbabbabaaaaaaaabaaababbbaa
+baaaaabbbabbbbbbbaabaaaaabaabbabababbbabbbabbbaaaabaaabbbababaaaba
+baaaabaabbaaaabaaabaabbbabbbaaaababababaaabbbbbbaabbbababbaaababbbbaaaabbaabaabaaabbabababab
+aababaaaaaaaaabaaabaabbaababbabaaababbbaabaabbaababaabbbaababbbbabaabbbabbbaabaaababbbbabb
+bbabbbbbbaaaaababbbbbaaaaabaaabbbbaaaabbbaabaabbbbaaba
+aabbbabbbaabbbaabbbaababbbbaabaabbaaaaaaaabaabbbaaaabaabbabbbaaabbaaaabaaabbbaababaa
+aabbbbbbbabaabaaaabbaaaaabaaaabbaaababbaabaababaabbbbbbbaabbbabaabbba
+ababbaabbabbbbaa
+59 33
+abaaaaaabbaaaabaabbabbbababaaaabbbbbbbaaabaababaaaabbbbbbbbbbabbbbbabbababbaaabaaa
+bbabbabbababaaababbbababbbbaaaabbbbaaabbabbbbabababbabbaaaabbbbabaaaaa
+babbbbabaabaabbbaaabababbbaaabbbbbabbbaababbbbbb
+aabaaaababbbbaabaabbbbbbbbabbabbbabaabbaaabbabbaabbabbbbabbababbbabaaabaabbabbabaabbaababbaaaa
+abaababbabbbbbbabaabbababaabbbabababbbababaaabaaabbaaaaabaabaabaa
+aaababaaabbabbaaaaaaaabbaabbabaabbababaabbbabba
+aabaabbabbbbbabbabbbaabbaabaabbbbbbaaabbababaababbaabaaabbbbbabbbabaabbabbaababbaab
+aabaabababaabbbabbbbabaaaaabbbabbbbaababbbbaababaabbaabbababaabbbbaaabbbb
+bbabaabaababbbb
+bababbbabbbbaabaabbabaabbabbbbbabbbaaababbabaaabbaabbbbababbbabbbbabaabaaabaababaaa
+babaaabaabaaaabbbaababbabbbabbababbabababaabaabaabbbbabbaaabaababaabb
+aabaaaabbabaaaaab
+abaaaaabbbabbaaaaaaaababaaababbaaaabababaabbbaabaabbaaabaababaabaabaaabaaaabababbbbaaaabbbaababaabaaaaabaaba
+baabaabbbbbbaaaaaaabbbbabaaaabb
+bbbababaabbbabaababbababaaaabaabbbaaababbab
+babbbaabbaabaabaabababbbababaabbbbabaabaaabababaaababbbaabaaabbbaabaaaaababaabbaababbabaababbba
+babbbabaaabbabaabbaaa
+aababaabbbabbbabaabaaabbbbabbbbbabbabab
+bbabbaabbbbbbabbaabaaaaaabbabbaababababbbbbaaabbabbbaababaaabbbbbabababababbabaabbaabaaabaaba
+bbbabaabaababaaababaabaaabaabbbabaabbaaaaabbabbaabbbaaabbbabaa
+aaabbbbbabbbabbabbbbaabababbbaaaaabbaaabaababaabbaaaaaabbbabaabababbbaaaabaabbbbbbbabaabaabbbbbabbbbbbaabaaab
+bbbbabbbbaaabaabbbabbbababbbabbaabababaaabbbabbabbabaabbbbabaa
+abaaabaabbbbaaaabba
+aababbaabbbaababbbaaabaaaaabbaaaabbaabaaabaabbaabbaaababbabaaabbbbbabaaaababbaa
+baababbbaabbbbaabbabaabaabbbabbbbbababbbbbabaaa
+babbaaaabbabaaababaabaabaaaabaaabbaabaabbbabbabbbbaabbbaabbbbababbababbbaaaaabababa
+bababbbbbabaabaaaabbbabbaaabbbaaabbbbbbaabbbbbbbbbbbbbaabaaabbbbbbaabbbababaaa
+baabbbbbbbbabaabbaabaabaababbabbbbabbabbbabbabbaabaaabbaabbbbababbbabab
+baaabaaaaaabbbbabaabbaabaaabbaabbbbbaabbaaabbaabbaababbabaaaababbabbababbbaabbbbbabababbbababbaaababbabbaaba
+bbbababbbbbbababbbbabbabbbaabaaaabbbbbba
+aabaabbbbaaabbaababbbbbaababaabababbabaaaabababbbbabbbaaa
+bbbbbbbabaaababaabbbaaaaaabbbbabbbaaabaabbaaabbaaaabb
+baaaababaaaabaaaababbababbaaaaabbabbabbababbabbaabaaabbbbababbbabbbabaaabaaababababbbbbabbababaaa
+aaabbbabbbbabbababbaaaaaaabaaaabbabaaaabababbabbaababa
+ababbaaaababbabbabbbaaababaaabaaaaaabbbbbbbaababbabbaabaaaabbbbbbabbbababbabbaaaabbaa
+aabbbbaababbabababbababbbaabbbaaaabbbbbbbabbaababababaabbbbaabbbaabbabbabab
+baaaabbbbababbabaabbaaabababaabaaabbbbabababbaaabaabbbaabaaabbbabbbbbbabbbabbbbaababbaabbbba
+aaabaabaabbaabbbababaabbbabaaaabbbbabbbaaababbbbbbabbabbbbaabbbaababaaabb
+aaaabaaabaaabbbabbaabbbaabbaabbbbbabababaaabaaabaababbaababbbabbaba
+baabbabaaababbaaabbaabaaaabaaaaaabbaaaaaaaaaaabaaaba
+ababababaabbbbbaabbbbbaabbbbbbabbaaaabaabbaaaababbaabbabbaabaaaabbabaaaaaababbbbbbbaaabbba
+abbabbbababaabbaaababbbbbbababbababaaabaaaabaaab
+aaabbbaaababbbbbbaabbaaabaababbbbabaaababbaabbabbbbaabbaaaabbaaabbbbbaaabaabaabababbbbbbabbbabaaaa
+bbbbaababbaabbbabab
+bbbabbbabaababaaabaababbbaaabbaababbbaabbabaaaabaaababaaabaabaabb
+aabaababbaaababbabbabbbbabaaabbbbabababaaaababbbbbabbbabbaaba
+abbbbabbbabbababbbbaabababaaabbabbbbaababbabbaababbbbbbbbaaaabbbaabaaaabbabaaabaabb
+aaaabababab
+bbabbbbbbbaaabbbaaabbbaababbaaabbaababbaabbbbbaaaabbabaabbbbbbbbabbbabababbbaaaababbbbbabbbaaaabbababbbbbab
+abbabbabbabbbababbbaaaabaabbaa
+abbabbaabbbbaababbaaaababbaabbbbabaaabbbbbaabaaaaaabbbaaabaabbbababaabaaaaaaaabbabbbbabbbbbbbbababbab
+bbaabbabbbabaabaaababbbaaababbabbaaaaabbbaabbabaabaab
+bbbabbaaabbabbaabbbabbaabbaabbaaabbabaabbaabbabaaabbaaaabbaabbbaaaaababbabbabbaaaaaaaaaa
+bbaaaabbaaabaaaaaabbababaaabbbab
+bbaabbababbbaaaaaaababaaabbbbbbabbabaabababbabaaabbababbbbbbbaaaaabbabaabaaaaaaababbababbabaaababbbbbbabbaba
+aaababbaaaaabbaaaaaabbbbbbabbbabbaabbabbbbaaba
+abbabbaaaabbbaabbbaaababaabaaaaaaabbaba
+bbbaabaaabbbaababbbbbaaababbabaabbbaabbabbaabbbaababaabaaaabaaabaabbb
+aaaaabbabaabaabaabbabababbbaabbbbabaaaabb
+47 21
+acdcabbdbddcbbaccdcabcadcddabddcdacbbdcbcbbbabccaccaddcaccdcddaaddcacacaaccacc
+abddccaaddddcabacbccbcdddbbaddadbcdcddaacaccccddbaacaacdcbcbbdacaadadbadacdacbdabacbcccdb
+bacbbddcaacbcbdbdaabddcaccdaacbbddcbbacbccdddacbdadabddca
+cccabdabacbccddabdbcbadabdcadcccdbbdbabbbcdadccbaabbadaaadacdaba
+ccdcbdaadadcdaabdccbcababcccdcbddadcdcbaddacaccaaaa
+abdccdadcbbacddcdadcaccbdcbdcddacddbaabbdabddcbaaadbcacccbcaaddabcad
+daabbddaabadccbdadbdaddbdbdbdacdbcbcabadbbabcdbbddacacbcbbacbccab
+cbbbbcddbaababbcbdddaadddacddcdadcbabcdadaddcadbcbbdaadcaccbddaaabccddcabaadaddcbdacacbacdccdcd
+cbacdacdcadaacddbdbacbcddbbaaaabdbcacabbbdcaddddbadbbcddbbbbaddaacdcbbadddbcddadaba
+bbababddaddaaabbcacaddadcccbcbcbaaacbbbdbaaddcaab
+cadbcbaddcbbabdcabadddbcbbddbadddbacbbddcbabcbdadbabbdac
+badbaddbbdbbadacaddcbdbadadbdaaddddcdbabddadcbaccdb
+abddaadaacadccabaddabcacbbadabbdababcdcdcdabbbadbcbadcabbaddcbcdadaaadccddbdcdbcbbbadabaaaccbabbacbc
+bbcccadabcdccdaabcbacbdccdcddcdbacbbaadadcbbbbcccabbadda
+bbccdcbcdcddaacbabbabbbcbbcccbabdbccddbdbcadbadabcdbccadbbbcbcdbcdcdbcbbcbccba
+ccdbcdacddaabddcddcdddccbdacacbbdbababddddbbcdbbbbbdddacdddcbbbaadacbddbaabddbbababaaababbabadaadad
+bcbbcdbccaaabccccaddcacbdbdabbcdddacbddddcacaaaabcdaacdbdcddcacacdcaabcabadbaaaaadcacdbcdbcdabbcdadbada
+adcadadbadcdcbdcdabbdbbcbaddccdcccdbcdcdcc
+baadbadacabdacbbbdbcbccacddaacbaabddbcc
+daccbddddddbadddaadcbdccaacdadddbdcbaabddaddacdaacdabcacddbaada
+cdadabacacdcbcbcdbbdabbabcdcadcddbbcacaccadbddabbccacccdcabbaaabadbddcbddbcdaadddbddbdcbd
+bcbbcaddbcadadddbabdabbcbbacbbcbbacccbbddddcbcdabdbbbbbacaacdaacadbcbbcbabbcbadddacaaccbbaacab
+cbddbcadaabdbccaacbcaaacbaccbdbbbdbbcdcdccacdbabbaccdaabbaadbdadabbcaaddbbad
+accbaddccbcdccaaddaddcacccbabdbdcddbccdcbbacbabaccddbcbddcaccacbcacbabababdacaaca
+abbddcbbcddbaddabcadddddcabaddbcacdacccbbdacaccdbcddccdacaabbcadadccad
+bcadacbacbddbabcccadbbadacdaadbcddddccaacdbbdbbcdddccadacbcdddbbddb
+bbdabadcaacabbddbbbdaabddadcabacccacbddbbccdcaaababdacbacdcdaaaddadd
+bdcbbcabcaccabcdadcdddbcadadacdddddbaadaaadcabddadbdacbbcacdddbbaa
+bbcaccdcaccbdbdaabdcac
+babdaccbdadbdaabdadcdcbdbcaccacdaadcdbaaddbddcbccaaaacdabaadbadbabadccdbabaacdbdaadbbc
+addabbdabcbaddaaabbddacbbdddbddbdaaabcadabcadabdbbdaaddddaadbbccdabdbadbdcbccbdadacbdddbaaaccbcbab
+ccbddacdcccbcbababbbccbbadcdcddaadaccacddabbdcaacacacaacddca
+daccbdccbbcdbbbabdcbbccadabdbcacdcdcadabdcdddcacaba
+acddabcbdbbaadabddacdcccdddccccdbcccababdbdbbcdbcacacbdadc
+cdcbadbccdabaaabcbddbbaacdabccbcbaaaabcdaccdcdbaccba
+dabbaabbbcaabdcad
+bbbaadbdcd
+bccaaaacbccacdbcdcaaddbbbcdddacbdcbcbddacaabdc
+aaacccdbadabadddabb
+cccdbdabaddadcdcaacccdcdaababbcaccccaaddbcdcbdacabdabbabaccadbaccaabcabbccbbddccaaddcdbbbcbdbadaabbbcbbbccab
+adccbbbaacbdbbdadbdcdbbdacbcbbcbababcbbabbdaabdabdddccdcdbaaacacaacd
+ccbbbacbccacbcacaca
+adbabbacbccacbcadcbdbbaaadbddcaabadbcddddabbcdddcabbbddba
+adccbccbdbdbbbdddaacccabcdccbababbacbbcdacadbcbdbdcbbcaacbaabbdbdabdaadaaabcaaccacdbdcaacbdccdddcaccbd
+ddddcdaccacdaaabaddacaccdaddcccdcdabcdacccacabbabacbbdaaccbdbccdddddbcacadcbdabbbaccad
+babbacbdcdabaaacbdacbdddbcbcbadbdbbbcacbccadccbbadca
+cbcdcdbbbbaabdda
+14 10
+dddababdaabcdabbbbccacacabbacacdbbccccbdbcbcdaacacccbaacbbacabbbcbbadababbdba
+aadacbdabbaadbcacbbddaacddbaddabccddbccabbadcc
+dacdbbbbbdbda
+abdcdaabcccbacbccbdbbbdacd
+acadaccabccddbaadccadddcacabadcbbdadbbdacbbbbaddcbacbcaddcbaddda
+dcdaabbdadaaaabdabbadbbbbdb
+bcabbabcacaababc
+cabccaccbacadcbbdcdababaddadcbdadccabcad
+cacacadbbadabdbbcbbdbcabcbdcbadadaddadcc
+abaaddccbadadaaabbacdcacdddcdaaccdcdddbdcdccbbb
+bbddcacbcaaaa
+bbcbcbdccdcdcdcadbbbcdadbcbadadbbbabcbcddcbdcbbcdbcbabcdcacdabcbaddddbccaaaadddadcdacaaacdccaaaddbbdbcd
+bcbadbabca
+abdaadcdabcbbac
+215 144
+cbaabacaacabccabacacaaaccaccbbcaccbbbabbbbaacbacaaaabcabacabbcababbacabbccccbcbabbbbc
+bcccacaababbabaacbccbbbbbccabbcbcbacbcccbccbcccbcabaaccbbabbcccbbbacbbbbaacabccccac
+ababcbabbcacacabbbbbbcacbacacbc
+cbccbcabcacbbbbcaacbcbcabcbbbaacaabaccbabbabacbcbaacccbcabcbbccbccabccbacbacbcbbbabcbccaa
+bbcacbcaacbbcabacbabbacabbccbccbacaccacaaabcbcabaca
+bbbbabcabacb
+cccbcbabaabccbcbbbbcacaccbbaaccaaacbbbccaacccbccabbbcabcbacaacbbccbacbbaa
+bcbcaaabcbabbbabcbbccabaabbaabacccbbcbacabacbacacbbbaccccacbbbcbacbbcbabcabcabcacbabbabccbacc
+caabccababacabaccccccbacbccabbacaabcbcccacaacbcabcbccabaaccbcacbbbaaababaabbaaaccbabbbccaacbabaacbac
+baaabbabcccacccccbba
+acccbbcaaaa
+cbbbcabbcbacabababacabbaaaba
+acccbabcbcacccbaccaccaacbcccbaccaa
+bbaccbbccbccaccccaccbcbabbcccacaaabbabbbbcccbbaccb
+ababcaaabbbbcabccccccaccaaacabbbccbc
+ccbcccccccbccabacabcaccbbcaacacccacbcbbcacbcaccaacacacaacabbabccbcacbcaccbaabaacc
+bcbcabccccbbccbcabcbcbcbaabcbbbaccbbabcccaaaabaaababcabccbbbbac
+cabcabbccababbbccaacccbcbbccbb
+baabcaabbcabcbbcaaccacacbaacbacabcabbaccabbaacbbbbbcbaccabcbcbcaaacbcccaabcbaabcaacabaabbaaacbbcbcbbabaaaac
+accababbcccbabcccaccacaaaccabacaabcabbbcbbaaaccbcbabcaccbccbaaacabacbbbbbbbccbabbbcabba
+bcabacbbbabcaabbbababaacccabccaaaaaacbbabbcacabcbabbbbbabbaabbabbbbbbbbbbccbbbbaccaabbbacbbaa
+caacbccbacbcaabcacccbbaccccabbbabacccaaacabbabcbbcabaabbaabacccaa
+bcccbbaaacbcacbbbbaacbcbbccbbbaabbacacabcaabcbbbaacacaccbccacbcaaab
+abaccbcbcabbaaccaaccabacacaabcbca
+aacaccaccccababbcbaaaacbcbcbacccacbccbcbabaabbacaabccacaabbabbcccc
+accbcbbcbcbcacabbbbbbabbcabcaaabbcbccababcacabbbbbabcccaabacacbabbaacacababccbccbaac
+cacbabbbcc
+bbcccbbabcccbcccabccbbcccc
+aaaabaabacacbbcbb
+abbbbbabcaacbb
+bcbbabbcbbcbacccbacaacaacacbacccbbacccabbcccaabcaabcbacbbcaaacaaacacccaaaccccaaabbbaccabbabca
+cbcbacabbbcbcccccbbccbabccbcacccabaccbcbabbbabcacbbbbaacaabbccaabaaaccbcaccaccbcabbbacacaaabac
+bacbacaaaaaaacbbbabbbccbbbbaacbbbacabbcbbabbaaabcab
+cbcccbbaabcccccccacbaacbbccccbbbaccbbcaaabaaccaccbbaabaaabcccaccaaccbcabbaabaababccbcbaababcb
+cccbabbcaabacabbaccacccacaabbabbaacbbccccaaccabcbbbccabaacccbabcbcaabbaacacccacccaabc
+bbacaabcacacccaaabbccbaaabcabcacaacc
+cbabaccbaacabababaabacbbcbbbbcacacbcab
+aababccccbbccbcaccbccaccaacabcbbcabbccbbaac
+baccaccbababccaacacccccbcababbabcabbacbabacaaabbcbbbbcaabacaaaacbccbacacabcbbabbabcccbcbbacaaaabbc
+cbabbaacbbbacbaaaaccbaacbbaabbbaacbcacbcacbbbccbbccacbaacaaaacbabcbaabccbbccaccbccbaacacacabcc
+bcaaabcbcbbccabcabcaacbcbabacccbcbaacbbccaccabbbbbacacccbbbbcabbbabbaaccccbcbbcab
+bcbcacbaaaca
+bbcaaaaaaacabcbaacccbaabcccbccbabacabcbcacaacbababbbbcbcbaabc
+abcacbacaababccbbbacbcabacbbbacccabbcccaababaaacacbcaaacaabcacbcccbcabbaacaaacbbc
+cababaccaacbccabbccaabcccbcacabcaacabccbcaababbbbbbbcaccbacabacccbcbbcbbbcbaccabbacacbabbc
+bbcccccabbacbcbbabbbbacbbacbabacaaaacabcbcbbaaabbcccccbbbaabcabcacaacbbccacccbcaaccbcaaccbababcaaababbcabcc
+abbacacbcbccaaaacbabcbaabaacbcbccaacccbcbbbbbbabbaaaaaacbccacbccba
+acabbabcbcbcccabcbbababaaababbabbcccacccbcbaccbccacabcabccbcbbbcabcbcbbababbacbccaaccacccabbcbacbbbccba
+cbcabbabccabcaaabbbcccccbacbccbbcacbacbbaaabaaaacbccbcabcaa
+bcccabbbcacbaacacbcaacacacabaaaaccbbababcbac
+bababcaaaabcacbacbbbbcbcccabccaccbaabca
+babcacbccacacacbbcbcacaababcaaccabababbccccacbacbccababbcaccaaabcaabbb
+bccbccbccbcbbcbcaabbcbabccbbbcaaaccbaaabcbacabbacbccabcaaaa
+aabbacbccabacaccabababcbacccabbabcacaaccbacccacbcaabababbcacc
+bbbcbccababccccccbacbcccacbcbbbbbbcbbbbcbbbbcaaabcabacacaaccaabbbccaacacbcbbccbabbccaaabbaacacaaabbcbbbca
+bbaaaabccbccbcaacabbacbabcaccabaaacbabbabacccbccbaccbcccaaacbabccaacaaaacaacbccccaabbabcca
+ccaacbccbbcacbbbbabbcaaaccacabb
+cabbbbabbcacbcccaaaaabccababbcbccc
+cbabbcabcbbbabaaaabcaaacacbabaaaacacabbacccbccacaacabcacbbbccaccbb
+cbaabaacabcaacabcbcbccbacbbacaaaacbacbaabbaccacbbccccbabaaaaacbcaacbcbaba
+bbcabaaabacabccaacbccbaaaaacbcabcccabbaacabbbcbaaacccbccccccbcbbbaabbccaacabbccbbcbbcbabcaacabba
+ccbcbcabacacacaacaaabbaacbcacccabacaccbacbaaabbaccbcaacabcaccabcbbbcacbaacabcbbabbcbababbabcbbaabbabbac
+bbcbacaabcbbacbabbbabacbaccba
+bacbabcbbccacaacbcaba
+ccabcabbcbbbaaabbcccbbacacbbccbacbaaacaaccaabaacccbcabaacbaabacacabaababccaccacbcaccccaaaccabaaaabbbbabaac
+cccccacbcbccaabbcabcbcabcacbbcbaabaabccccbacabbaabbbacccaaacacbabcabcbcbbbcaccccababcbcabacccacaccccbbb
+baacbccbacabbacbbcbbbcbacaaabbabaaacaaccaacccbcbabcbbacc
+bbabbcaabcbcaccabcbbcbaccbcaabacaabbcccbcbbacabbbbac
+bcaccacaabcacccbacbacaccaabab
+cbaccccabacacbccbccaccc
+accbbcbcbaabababccacccacacaaccabcacabbcbbcacccbccccacaccbaabbbbbbbcbabacaccbaabc
+bbcabbbacbccccaabbcaaabbabaabcabcacbcaabcccacaaababbcccbcabaaacbabacbcbbaacbabbccabaccabaabbabbbb
+cbbbcaaabcbbbbabcabbbacaccaca
+acaaacbaaabccaccab
+cbbccbcccaabb
+aacaccbbaaccabbccbcbacbaccbcaccacaabccbabaccabcaaccaccbc
+bbcbbcbcbbabaaabcacbcbcaaccbcccbcb
+abcbbccabbabcbcccbbaacbbaabaaccccbccbbbacaabccbcbaccbbbabcaccbaccacaccbabcaabbccaaabaacabbbaacbcaaaaaccbbabab
+abcaababacacabbaccbaabbabbbbbaacaabaabbaacaacbaabbaccacacacaaccabcbabcabacbcab
+caccbcbcccbbcbbccbacabcacabbbaacbbaabacaabccccbcbcabbbbbbcbbbbbabccccabbbccacccbaa
+bbaccacccbcbacbccabccabbcbcaabcaacabbcacbccaaacbab
+babccbccabbbcbbaccbccbcbabbbccacbbcbccbcacbaaacacba
+acbbcbccbbcabcbccccbbcabbbccaacbbccbbacab
+cbaabaacbbcbcbcbbbccababcbccabbcaccacaccccc
+cbbcababcacababbbacbaaaaacbabccccaacccbaccbbaabbcccaabbcc
+abcbaaccaacabbcbcbbacbbbaccaaabbc
+bccaacbabbcabcccccacabbcccababbaaacaabacbaccaacaaabbabaaaacbbcbbbccc
+bccccccccbccaabaaabbccbaacccbabccc
+ccbbaaacbacbccccababbaabcbabbbaaacacaaacaabbbcaabcac
+baaacaaaaacbaabbcbccbcaccacacbabbcaaabbbca
+acccbaccbcaaccccabbacbabbaaccabccbcccbcacbabaccbcbabaaaacccabbcacbaccbcabccba
+bbbcbaaaaacbabcc
+bcabbccaabbcccabbccbcccaaaacbcbccacabcabbbacbbaabaccbcbabccabaaacaccabbcbbcbbcccccbaacbbacacabbca
+bbbbccaaaaacbacccaaccacccaccabccbaabacbaaccbcaaaabbbbcccccca
+abbbacbcccabbccaabbacbccaaacaccaacacbacbbcbbcacbbbaab
+bbacbcccacaabbbacbbccbbcaabbccabcaacbacbcbabbccbacacaabcbcbcbabbabcbaabcbbcbbaccacacbbbcaccc
+bbbbaabcbaaaabcccbaabbabcccbbbacaccaabaccbabccbbcacacbbacbcbcabcbabaaabbcbbaababaaaccbcba
+aaccababbabbabccccbbbbccacaccbabbbccbbbabaccacabbcccabaababcabcbccccabbcabbbabbbaacabbbaccbbcaacbccbccba
+cacacbaaaaacaccaabaab
+bccbbabbcaacababbbbcbcbbccbcbbbbcaaabcaccbbaaabbccccaccacbcbcbaaccacbacac
+baccacacaccbbbbaacccacacaaacbabaaabaaaabaabbbcabccbccccbbcacacccbbbccacccbcbabaaaaab
+cbaababaaaacacbbabbbccccbbcbabbbbacacacccbbabbaaaacbccbbaaaabbaaabcccaba
+ccaaabbbaac
+bcccabcabababcabcbaccbbcbccaacabcbbacbbcbaabaaabbbbaccccbcaa
+abacbcacbcabcbbbacbacbacbbaaabbbbbcbbbcaaccaacbabacccbcacbcaccaabacbbcaabca
+aaccccbbccabbbacccaab
+bcccccbbaaaababbcaababaccacbbbcacbacbaaabbbbbabbacabccbbcacbabcbbaccccacbbbabbbaabbbaaacccabbabbbbacaabcb
+abaaabcabcabaabcbcbbbacaaccabbcaabacbabbccaaaaccbacbbccbbccacaaabacaacbbaabcaabbc
+babcbabacccbbccbaccaacabaaabacccbacbabcaabcaaccaabcbbbaacabaaccaaccabccababcaacbbcabaa
+acccaabcbcacabacacbbaccaabbcbbcbbaacaabccbcabbbabacbaaacbbabbcaacccbcba
+bcbcbbbbbaccbccbbbcabcaaccbacbcabcacabbbbaabacacabbcccacccbabbbaacccbbccbbccbacbbabacabbabcbaacbbbccbccaa
+ccbabbababbabbabacbbbcaababcaaaacabbabacbbbabcbac
+cbabcaacbbabbaaaccbbacbcaacacaccaaaccabbcaabaaaabbbcbcccacabcbacbcabcacbcacccccbacc
+abaccabbabaabcbcccbccccbabcccbbbababacccabaacb
+acccabaacbcabbcbb
+acacbbcacbaabcbbacabcc
+aaacabbaacbababacbccccaabaaacbacbaaaaaccbbcbbccbacaac
+abcaabacbcacaccbcbabacaaabaabcbbbbabcacccbbbacbbcabcabbacbaaaccaba
+cbacbbaaabccbcaacababbbaaacaabcaacbaa
+cacbcccaabacbaacabcacaccaaccacabacbbaaabbcaabbaaccaaabaabbcacacabaaacabcabccccbcbabaca
+abbaaccabaccabcaabccaacacaacabcbcaababbacccaabcbcbaabbabbcbbbbaccacbcaccaacabcabbcacbccaab
+acaccbaacbababacbcbbccaababbcbbbaabacbaaabcababcaaaacbbaacccacaaccbaaaacbbbccc
+acbbbbbabbbabbabbccabccbaabacacacaabbbaabaaababccbcaabaabbaacccaabacabbcacabccbbababbbacbbcbcabbbaccaabccbbb
+caaaaabbcacbbcccacccacbabbbaabcbc
+cabbacbcaaabccababaacccacababaacbabbcbacbccabaacbaabaca
+cacbaccbccaaabbcbbbbcbaaabaabcaabbbbcccccbacbabaabbbbaccbcaca
+babcabcaabbbaaaabcacaabcccabcbabbbbbcccbccb
+caacbbbcbacccaabcabaabbcacacbacacbccbbbabcacacabbacaccabbacabcacbbabacacabababababa
+bbcbcccaabaacbccaccacccbbcbbacaaacbabacababababab
+bcccacbccaaaabaaacccc
+bababbcabbacacaacaccaabbcaabbabbbabaaaacbaaabacaacccbaaaabcacbbbbbcaccccaabbc
+caaaaacaacaaacbcba
+bbabcacabcbbacccaabaacaacaabacacbbcac
+bcaccaabaabbbbaaccabbcabaabccbaacbabaaaccbaccbcabcbaabbbccabaaabcaaccacabcabaaccbbbcaaaaaabcaabcaccbcbbaa
+acccbcbccbccbbabbbcabaacabab
+abacabbacaccbabacaabcabbaacaacbcbcabbcbbcbaababc
+ccbcbabbaabcbaacacacbccbbbabcacabbcbccbcaacbbbbaaabbababaccabbcbbccbbabbcccbcbcbbccb
+ccbababaababbbacababcbbcbcbaabaccbbaccbbcacbaaabaacbc
+bcbbaaaaac
+aaccbbbcabacccbcccaacccaaaaccbacccaaabcaababacbccbbabccbccacbb
+cbccbacabbcbbbbabacbcacbaabcc
+babbcaacacacaabaaaaabbcbbabbbacabcccabaacaaacbabbccabcbcbcbabbacabbb
+aacbaacbcbbbacacaccbcbbabbcab
+bbbaaacbbabcabccbcaccaccbcbccaacabccaacacabcccccaaabcbcbaacbcbca
+cbbaaabccbccabcabbbccbccacccabbcaaccabbaacacabacababbcaacccbccabaaac
+aacbabccaabacbbbabaaacabaabacacbcbcbabbbaabacaaabcbbbacbaaaabcbcbacbccacbcabacbcaaaccbaaacb
+cacababbacccbbabbbbcaccbbbbaccacbbabcbaccacabcabababacacbcabbccbccbcbbcccbabcbbabcbaabbaabccacbabacbab
+aababbccacabcababcccbcaacccbbaacaaabacaccbaccacbbabcccacbb
+bcbbabbbcaacbbccccbaaacbbccbcacb
+cccbbabbbabbcbbbaacbcccabbbbaaacabaaccabbbcaacaaacbcabbcbcaccacbcbacaccabacccacbccbbaabbbbcbababcbccacabaaca
+bbabcbaacbcbcbccaacacacccaacabc
+ccbaacaaaccacbccbabaaccccaaabcbbccbcababaccaacbc
+bbbbaacbcbbbaacacbbbbaabbbcacbcbabbccbabbcaaccabaacbabbcbbc
+babcccbbbcabcabccbacbacbbbaccbabccbabcbbaacbaabaccabca
+caabbbbbaccccaabababacbcacbbacbbcccababbacaccccbbabb
+aaaaaaccabcaccbaabcaccbcaccacbcccbbcaaaccbacacacbbccbbacacbabbabcbbacbcccaacaaccaaabbaaacccabaaaaabacbbb
+bccccccbcccbbabbccaccbbaabccaabbacaabbbbacaabcabbbccc
+ccacbacbaccbcabcacbaccacaabccbbabbaacab
+bcbcaabcacbbbcbbbacbacbaacccbbaabbbaaaa
+ccbacbabbbbaccbcabccaccbcaaaacbbcabacbbccbbbcbcaabcccbccbbcccbacbbcccaac
+baaccbbbacbcbbcabaabaacaccbbcabacbabbbccbbcaabcaaccca
+aacbacbcbcbbabcaabbccccba
+baccbaabcaabcabbaabaccbacacaabaacacabaccabacbbbabbbbcbcbbcabbccababacaababbccbaa
+cbacccaaabcacabc
+bccaacacbbbaabaccaabcacbbcccaacacabaacabbacbacbaccaabbcabbbacccaabccbcbabbccabcca
+ccbbaaaacbcaabccbaacabacabcbabccaaabbbbbbbbbbbbcaacababcbaaaacbbbabbaaccacaccbcbcaccccbcababbbacbbccb
+acbcbaacabbaaaccacccaababaabbaccbaaaccabababcaabbabcaacccaacacccabcacbcbbacbcbabbcacbcbcacbbaab
+cbcbcbabaaaacaabbabcccacabbcbacacaababccabacbbaabcacbabbccccaacaababbcbbabbaabbbcbbc
+abbccbabaacbabbc
+bcbcabcbcabacacbbccbbbccbcacaaabaabaaa
+acbacacbcacaccccac
+cabbaaabcaacbbcaccccabbacabacacbcbccbcabbacbcbcbbbccbbcaabbcccabbaccac
+caacccaaabbbaacabbacacccbbacbabccbbaccbbabc
+bcbcabbacaacbacabacbaaaacbacbbabccbbaacabccbbcbaabaabccbbcc
+abbbaacbbcbbacaccccbacabcbcabbbabaaacbaabc
+bacaabacbccabccbcabbacabbbacbb
+baabbaabcbabbbcbacabbbbccbbcabbcccacbabcacacaacbcbcbacacacbbbbbcabbbbbaacacaccacccacbccbccbaacb
+bbbbbbcabcbccbabbbbaacbccacaabbacbbacccbbbcccbabacabcccccacaabbbaccacccbbcccccbcbababcaaabc
+bbcbbacaaaccacbacbabcbcbaccbcaccbbabbcccbacccccaccbacbabbabcbbcbcbbbbcbacaccbccabbcbbaabbcbcac
+bccacbcacabaababcbbbbababaaabccbb
+cabbcbcacbcababaabbbcacbaaccc
+bcacccccabacbabcacbcabacbbabbbbacaaacabcabaabacbbbbbcccababccabcccccbabbabbbabbc
+bcbaaccacabbaacabaccbabcbccaccbabcabacacbcca
+aacbbcabcbcccbaaabcbabbccbcaaaababaccbabbccccbcacaaaabacccaabbaabacbaaaacccaaacbbabcbabccbcbcabbcababbbb
+acbcbccacbbcbabcaacbbaabbcacabcbbccbacaccccbccacbcabcbcbaabbbcccbccbcaaaccccaaabcbbbcbbbbaacbbbcacbccaaca
+ccaabbaaccabcabccbcacabcacaaabcabbcca
+acabcccbbbcccacacbaacccacaaccaaabbababaaccbcaacaaccbbcacbbabbaabab
+cbcccbcabcabbabbabbcbabbcabcbccacaaabcbacbaabcabaccabcbabbcaacababaaaababacbacbbabaccbcaccbccc
+abcaacaccbabbcc
+acbcacccaacbcabcacaabbccacacbaaabbaaaaaabbbcbbbcbbacacaabcbaaaaababbcccccbaccbbaacb
+acccabbacccabbbcaabbbcacbbbcaabbccbaacababbcccccbbaacaaababaaabcbbbaacacabbbc
+aacbabaacbccbbacbcaabccbacacbacbacccbccbccbacababaccacaccbcbabacbabccaaccaaacbbccbabbbbcbb
+cbabaacabbaabaccbcbacacccbabaabaccccabbccbbacacccbcbabaabccbccbbcaaacabacbbbbbcbbbbcbbbaaacbabccbbabbbbbcb
+bcbbabcbabcbaaabbbbabbaaabcabbccabbababbbcabcbcccbcccbcababaccbaaacaaacaccacaaabbc
+acbbacbabaaaacbacbcbcacacabacaaaacbabccca
+bcbccaaaabbcababccccacaaacaaabacaaabcbbbcabbbb
+babbabacabbccbaccbaaa
+aabaacaabccbccacaabbaccbccacaabaabcbabbbacccbccabcc
+bacbbcbbabacaacbbcabccaaabbabbabaabaccbbbbbbacaba
+acbccbbccacbabaacbcbca
+cbcaaaaabccccbcaccbbbcccaccaaac
+cbabaaaaccbcaaaacbbaaaacbcacbbc
+cabacbcaaabccbbbbcccbbccacbcabbbbcbabcacbcccaccbabbab
+cabaacbaaaabbbbaccabcbabbcccb
+cacaaacaacbbcbcbcaccbaacacabcbabcbcaaaabcaabcbabacbbbcbcbbcabcc
+cacccabcbaacbcbbaaaccbabbabbcbbaaabbabbabaabcacacbaacbbac
+aaababbabcbbacccaabccabaaaaaaaaababcabcbbca
+caabcbaccabaabbacbbabbabaabcbbabaacbaacabaacaccbbcbcacaacacb
+bccbcccbcbcbcbabaccacbacbcaaaabbcbccbbcbbbaaacababcbccbbbacbbaabcabaaacccaabcccba
+bcbacaabaacbcbbbbaacabcaacccabbbbabcacbabaacccbcbaccbbaccaabcbb
+bbbccacccbabbbcaabcababaccccacabcbc
+abcbabbbcabbbbbccccbbbcbaaaaaabcabaabbaccaccbbaabbcbabcabc
+cababacbcababcccbacacbccbccabccbcbababbaaaaaacaababbacccba
+bbccbbbabbbaacacbcaacaacbaaccaaacacbcabaccabcccaabacbacbacbbacacbabbccbcbbbababcbacaacaacccbbbaabbbbc
+caacbaaabaabccabccaacbbaaaacbbaababbbcacaaacacbccbcbcabbbabcbcccacbbb
+253 194
+bbabbadbdddabb
+cccaaccbaadcccabbdcadbadbcbbbaccbcbddbabbbadbdbbdabaacdaabdbcabbcbdbcddcdcccbbdabdbbcdcbaaccbc
+bdccacbcaccbdbadaacbacbbddccdcbddacabbbbcbdbacaccccbbaacdcadbddaadaabbbabddbaaabda
+abcddbdbddbbbdbcadbcbbadcccdcbddbdbcdabdaaaddabcabca
+ddbaccbcacaabcddaacbbdcdabdbbacacddbaabdcaccdcbabbdddcdabacdbacbcddaacadcacb
+dbbadcbddccccdbdabddcbddacdcaabddbcdabccddcbdacbdccdacabbbbdaccacbacbddbddadcbdddcabcbdbadacbdaaacbdbcdbb
+cdccddacbbdcacdccbdddccbbcdcaddbdabbbcddbaccacacdabccdcdbbbabcabababdacabdbaddbcaacabacddbbddadabbdadcdc
+bcdababaaaaacbbcbadabaddaadbcdbadbcacccbbabbaccaccdddacdbcabaaaccbbcbccbab
+dbbcdcccbacbacbdcdaccadcbbdaddcdabadadbbdcbcdadc
+dcbcdacabdddcbcaaabbdacdbadccccdbaabbddbbdcbbaabaaabbdcccaadbbcadabddaaabcddbbabbddcaabddbdacbbddadbaaabd
+cacabcacabdcabcaaadaaddcadcbccdbaacdcdadacdcbddabbcbcccaccbbbadababbdcaadacaccbabbccddcdda
+accadbababdbaacbbabaaddadcbda
+dccabcbadbcdbdaabcbbbbdbbbcaaccadaacaabaabddabdcccdccbcdcaacddddbccbdbdbcdbaadcbcabcb
+babddccbadccabcbdbdbbabdadbbbdbcacbbcacddaaccdbcbabcacbcdabaddbbadaaaaccdabbbdbaaaadabacdabddddbadcbbcca
+acbbcbabacdcdddaadcadbacddabcdbcadabd
+addbddadacbacadcdbaacabcdbbbcabcbddbbdccbbdadaccdaddbdadbddc
+adbcbcccacbabaaabdcaacabcaabbbabcbcdbdcddcdcbccc
+dcbbbdbadccdbcda
+adadcadcddaddacccadcbaaaabcbaddbdddabbbcddabdbccbbdcadbbbdbc
+cadddaaaabdbadcbbdcacdaddcbaddcbbaabddaadccabadacadbadbccadbbdcb
+abddcddaabdbdcdabaadacbdababddbbdbcabcdcabdadcaa
+dcdbacddbadadbadbbaccaacbacdadbacbaabdaabadcccddbbcadbcbdcbbbbadcdacdbadddbdbdadcdcaaadca
+cbccddbabbbdbbcdacbdababbcacccacdbabdccaacbddaa
+bcbcaabcda
+bbdabdcabbcbabdbadcbaaacdadabccccbcdadccaabadaccabdaddbddcbcdacbaadddcabacdcaacacbadacddacadabababcdcbcbdadaa
+bcdaccdbbacdadcaadcbabcbdcdaadcdabaadbbbcbdacaadabcbbdcbbbdcaadaabcdabccabbccadbaabbbbdbacacaaccabcdac
+dddcdbbccadadccdddabbdadabcddddcc
+abacacdcbaddbcbaaabddbcbadcaaaacdacacbccdddcddddabadadcbdbadccbcabc
+cddacbabaccccacccdddacbbddddaabaacccccacaddbbccbdddbba
+ddbbdbbcababcbbbcbdabcdacbaddadaddbc
+abaacddcabcbdcdcdadbbbddabdbdaacdcbabccaddbacdbbddcaacdbabbabddcadabdbcacaabbcbbabadbcabbabcacdbaccb
+dacbcbdabaacbcdacbdcbcacaadbadadcdcbdabbabbacabbcadddba
+aacccbdaadbcdbbcdaacbdbbbbbbcbbbdabcdadcadabab
+cbdacadcbdcabadbabbccabccacccacdcadbacdccdbdbacdddcdcbdbcccaacaccdabccbbccdbbcbccbadadcddcdabdadaaabaaadaba
+caadaaabccbacbcddccccadaabbcadac
+abdbbdabbbbabdcddbbbdacbbdbbbdccadbbbccbdbdbadacaddcba
+dbddacadacdbdbdcdabbdcdddbbbbcbcabddaadccacddcbcadadbbddacdcabcccacbcdacadbadbdadbcacbdadbdbbcbba
+aadbdcbabdccbacddbbadbcbaaccbadbdadaba
+bdcccccccdbaaadabddcbacbaddaacadccabbdbbadcccccaabcdccababdadadaabccdbbcaddccba
+dcbdabbcdcbdbdddbadaccccbdcdbdbbaaacddbacaddabbdcbbabbcbbdabaabacabbccddcabddacbdaddbbdcd
+ccdcbbabbd
+daacdbdcacbbcacdbbaaabbcdaacacbcdbbaccbaacab
+abbdadbcaabbbddacbbcdbdbabbacbcbdccdcbdbaabba
+dcdcdbbbcbddcdbaaabbbdadddbbdaddabbdccbddbdbcabdbbbbcbbacbaaadacbcdcccdaaccdcabddccbccbcabadb
+cdbcabaabdadacbaadacdacdaccdbacdcabdadbbacabdccdcbbbbaddddccbadbbdccbcacdcb
+cadbabddaaaacdcbdbcdbdccaaccadcddadcaacacdcbbcbacbcdcdacaa
+ccabdccdbdbaacbabdbdadbcddabdbcadacaaa
+cccdaddcbddcbbdcbbbccabcddcbdac
+bcdbabddcdbcaaabcabaaadaa
+cccbaaacbabaadbccddcdbdbdcadbddda
+dbbdddabdcbdbdcbcacaabbaddacdcbadbbcacaaabcdcdacdacccddbbcdcadcbdcdaaabddaaaabcddddbc
+bbacdcdbaaabadadbbcddbbbbabcbcacacacdcddbdcdaddcacdbcdacadadaadabbddbccbabbbbcdbaabdbcbddbccdadaddadaddbd
+bbdcccacdacaccadbbcbdccbdcdcaacaaaabb
+daaaddddbcbadcaaddbdbaacaabbacdbabdcdcdbdacdbacc
+bbabcdddbacbcaacbaddbacbcdbcbcdaaabacdcdaacdbdabddaaaadddbdbcaadcdcaddcdbaabccbcccdaabc
+bcdaddbcdadbbcacbccbabd
+abcdcadcbbcaaacdcaadcccbccdbdcaabbacbbaabddadddacdbacccadddbbbcdcdbbcbddbabdcccbdbddccdddabbdb
+bbccbcdbbcbaaabcadaabadccbbadcacbdbabbccbacbbdcdbcddcdcabbcbdbcdcbaadcdcbaa
+cdabcbdbddadcddaddbadbacabbdccacacbaddaccadbcdddbcbddbbbcddbddcdcbaacccaddaabccddacbadbddbcacdbcc
+daaddbdbbccdaddaaabdadbacdcbaaccbdacb
+dbbbddabcdbcadcabdbbccabbaaccadcabdaddbdacbddabcbaadacbdcacbaabbdcdacbbcaaadcbacbccddbbacdbcbacadd
+dbcddbbacbcadaccbaaabbbcadcbddcdcdadbccadabdadb
+cdcdcbcaaabcabddbccbbaddbabdaadcccadabd
+addbbbcbacaddbcddacbddaaacabcbacddbabaabcbcdaacdbbadbaaccdacabbbacbcdabaabbbbaaddbcaccdaa
+accdcddbbaabbcabdacaddaddbbabccaabaabbddbcacccdaacabaacacccaccccddcadadccdcdbcaacbaadcdcccbdbaddccdddacdcbac
+dbcabddbbaacddcdbdacd
+bdbddabdddbadbadabdbddacbaccabdcbaabdadabbdcdaacacabcacbddababacccdbd
+dbdbdbcdcddbbcbbdcacdbcdaccabbbadbbbaacddbdacdccabbdc
+dcaddaabacdaadabdcacbdcaddbdaddccbadadbccdcadddcbccccaaadbbdddacbd
+dbbbdcababadaaccabcdbcbddbc
+bbacacacbdaddabcccddddabbabbccddbadbcaacdbddd
+bccddbadcddcb
+bddbbddccccca
+adddbcccbbdccbad
+adcccbcbbaadbcddcdccdccbdbcabdbacacbadbccdcdaadbdccbdabdbabaccdbcbaaccdcdc
+bccdcdcaccdacacbdcdcbacdacbccadbbdaadcbaaccbabcabbaacbbaacbcbd
+bdaabdcaabaaadbaadcccccdbdbdb
+cbdcbbcdbbbadaacbdadabcccacbcdddddbcabccacbaccbbbbbcdadbaacc
+daaccdcbcabadbabcdcbaaccdabcaacdabbdcbadcbbabbddabdcbacdaaabbccdccbacaaaddaabdccbbacddbcaaabbaabcacacbc
+bbbadacacbddbdaadbcbbbcbacbccdcabddbabcdcabbabcdddcbdcacbcadcbddcadcaacbdabcccbddbabadddadcdaddcbccc
+ccaaaaddbcbcddcabaacaabccdbacbbaacadacaacddcddbbbdaaaaaadbdbcba
+dcacbbcaaaccdad
+dbacbdbbdbcaabcdccaccbdbddcbccdddacaaacbadddbcdcdbdbabcaddcccbdbbababccdcbbcdacdddcbdbdcd
+cbaaabdbdcdbcd
+cacbadbcbcbcaabcabcbbcbacabbdadbccdcdbddccabdbcbababcdbbacbbbabbcccdbabdacdaddaacccbbabcacddaccacbbbddbacda
+acbbbcabadcbcdabcbd
+dcbddcddaabdcbbbcaaabccdbdbdcddabbdbdcdadaabddbabcbacadabadbdbbcbbdadadcab
+ddccdddababbbbcbdabadcdccbbaa
+adcbaccbdacbbbcaadcabdadbadbacbcadbbddbcaadc
+bacdadcdcdbadbadbbcbdbdacbccdbbcacdcadbddaccacdcaaaabbdddcdcdcbbdbcbdabdacdaaddc
+abdaaccccdbcadbadbcdbbbbabadaacbddaabaaadddacdcda
+bcdbbcacaacbdbcdbcdddabcbabbbcabaaaacacbabdcbacadaacbabbbaaabdbadaddbbddacadbab
+abcaaaddaabccccabbadddadadbadabaaccbbaaacccacccbccdbaadbcacacdabadbcdcbccbcdbddcaddadccbb
+bdcabdccbacbcccddabadbbdbadbdcbcdacdacdbcbabbaaadcdccabbddabdadd
+bddaaadddabacacbabcaaccabaaddcadbbabbbbaabbcabcaccdadbabcddcdaadbcacdd
+cacbbbdccabbabaadbddcdadddadaaccadaabcdcdcaccbabadbcccaccbabaaaabaaacaabacad
+dbdcadbbaaacaaadcaccbdcacbbabddadbaaaddcdbdaabdbdbbbbdbddbbaacaababbdcbcadaaccaabdaadcaadbdbbacacd
+aabdadbccadddccdbbacaddbbcbdbbdcbbbbabcddadbacbdacdddabd
+bbbbbcdaccbabaaddcdcddabddbccdbaaccadbdaaccaaacadcccccaabacdcbddabddaaac
+cbcaaccbcbcddccaacdcdccccbcdbdcbdcdaadaaacbbccacdabaabbd
+abdbbcbddbacacacadcdbccdacabbcdddcbdbcacdcadcadcdacdcab
+acdbadbccddaadccbcbdccabcddbcdbbdaddbc
+acccddabacbdddbdabcbdccddbabbbddbadbbaacabdb
+caaabddaaaddbadda
+ddbbcdabdaaadddddbcacababcacbabaaa
+aacaabaddaabbadadbcbdcbdcccbbdbacbabbdabbdccdcbcbbacddbcbdad
+bbadcbabbcabdbabdabccdbcabcdddccddabbbbaacabcbdaadbabdabcddbaabaaadcbadabaabadbbacccdccdcaaabb
+aacbabbbccaabcdbdcd
+dadcbccbcdcbbdbccdcabbbdcabada
+dcdbdbdbcbccdcacacacddcbdaddac
+cabbdcccbdcacccbbcccaccbcdcbbbddaaacbdcadccbcadbddaabdbacaacbadbcbbdbbccbbdcaabadbad
+adbbbababdddaacaccbdbadbbabccbddccaddbcaabccdaadaacabbbcaaccdbacbbbbdacddddcaaadcddbaddbda
+dadcbddbbccabcbdddaaaacacdbdcbddcbbcbbbcdcccdda
+ccbcadbdaacabadcbdbcdabadaaadcdcddcb
+bbcaadadadabcdaaacccdbcadbadccdaccdbaccbadccdbcdbdcaabbdbddbbddbddbdcaacdd
+dcdabdddaaacbdcaaccbadddccdaadadaccaacbdccddacdddcccbbadbcbaaabdbdadbdddbbdc
+bcbcbdbbccaccadbbaacdbabdabaadbcacadabdbdabaccadccbbcdaadbbbbcdccadccadbdcbcacabcdabaca
+ccdbcbcbdcdddbccadbccbcaccdbcdabdbacbbcadadaaaaaca
+abababbaddaacaacbdbaddaac
+bccddccaaaccdbccbbbadbcbbcdbbb
+aadbcdbbbbdccdadabcbcbcabbcccca
+cbcbbccaddcccdbaddbaaaacbcbaa
+dbdbaaabcaabddabdbdbbcccda
+adaacbccabaaddbadadccdabbbddbaadddcbcdbdcdd
+acaaaabcdddcddbadccabadabdccaa
+dbbaabdddaabcbdccbacccccaaaddaaccbdcbadacaccbcbaacbacdddaaaaabdccacccadadcaadcbaddb
+abdabdbccddccacaddbccadad
+ccdbbcdcdbbdcc
+dcdcaaaddbbdabcbacbaabcbbcdbbddbbbbbbbbddcdacbcddcdab
+adccbcddabdbbdbaabababdacdbaadaddccaccbbbbabbbbbcdbcdaaaccbdbbdbabdabccbaccddbaadccaaaac
+ddcdbdbabccddbbdababbaccbcdbaaccbbdccddaacddbbdaccb
+dcacdbbacbbdabbcdddabccadadcaacdbadabacdccbddddbacc
+acdbddadaccca
+bdcbacccdabadadaabdaddcaaa
+baccbccccaacbcdbdcccbaadbddcaadcdabccbbaadaccbbbdcdacbbcdccbacddbbbaacbcacc
+bdccbccbbadbdabdbacdbbbdbaa
+bcbadddadbabccaacddababddadadcdcccabadcb
+cdadcabcbaddddddaabdbdabd
+dbbbcdbbcdabbadcabdbbbabacbdadcbbc
+dccaddddcbcabaaacddadddddcaaddbabacbbcdbbdacbbadacacddbcddcdddbbdacbcabbcbabadccbdabacbabcbbbaad
+adacacacbbddbbcddbcbcdcbbcbbccdcbddbcabdabccbccdaaddcdaacbcddad
+bbdbabcbccbdcccbcdbaaacbbddbdcbdaccadbaccdcaaadddbdbadbd
+ccadcdcbcccabaaadbbadaaadbdabcb
+bcdbdbbccdaacbdbabcaabbdadcdbbacbbabcbdcadddb
+aacaccdbbbbcccdabbabdcda
+ccacddccdcbaaacdcdddbd
+bdbccdaddacccdaadcbabadcbcabbbcbabcbacdaddcbababababdccbdddcbadcaabbaadddbdbadbacbbcbbbccbcdbdcadcbccddc
+dbcbbacabcbcdbbbbadd
+dcadadacdbcdcbbbdd
+cbcbbdccdababadacdcadddbcdddddaddcb
+ccadddcdccccadcacbbabddacddcacadbcccdaadaaadcddbaad
+dacbddadabdbcaddbdbdbccbcbacccbababbcbabcbbacd
+dbababdcbdacdcaaabddadccbdcbdbadcdbcbdadadcadbccbccacccbcbcacbdbcabbccdbdddadccdacbaacdbbabdddcad
+cbaddbbacdaacaaadc
+dabadbdcaadddddaababcbdcdccbbdaabccaabbdcdaddcaadbdaddaaadabadaccaaca
+cbdbdcbbcbdbcbcdacadcdbcbddaccdcbbcdcddadbbdcbbcbbaaacabbbdbbdbcbcbbaadadddad
+cbcbcddaaccdddabbabbccbcacdcaccabacb
+adabbabddabaabbbcbbdacabdadbddcccbdaaacdccacaadabdbbaabddbdcd
+bbbbaabaddadacaaadbcaacbacccddadbacb
+ccbcadabbbddcddbdcabccddaaccdcd
+cacbdbadbbcaab
+bcdbdbaaaccaacddbcbaabda
+bcdcbbaddcaddccddcdcabaddcacccdaaabdacaaddacccaadbcdaadacddbbcbcdbdaaabbacababdddbbdadbbabdaddcbccdbbdcda
+cdbbaaccbacadccccdcdbbdadbadbcaaaaacbbcbbdababcbabcbccdcdaccdcacdcbcaadbbcacadbdaccccbcacdbdcdcaccba
+bacbbbcdadcddadcbbbdcbdbdaccacacdcabbbbddcacddcaadabcabbbbbdcdaddaadaa
+dbabdddccddadcadcddbcddcbccdbabcbccaaaacccbbbacdaccdcbbaaacaacccadadcabddaaabdc
+abbbdbbcaaddbdbbdbcdadbcccaaadccccbabdbccbbdcabcbbddadaacbcdcccaacbccdbddcdbbabadabbc
+dbdbdcdccbbdadacddcbddaacdcaaabbbccabdbccacadcaabcddbdbbcbbacadbacaacbacadcaaccdabadbacdadcba
+bcdcccbcbabdbccacadddaccadadcbbcddcbaccdadbcdccdbbbcdcbdaccbcacabddb
+bacabaabcddacabdacdcbcbcbdd
+cbbbdbacadaaddacdbacccadbdbaddcacadaccdcdd
+abcdcdadddaadcdcbddaabddcbccbdbcdcdacddbcacbabcadaccbadcac
+adbccbbcbdbdadacdadbbdacdadabbaacdd
+dbdbcdcccccbccaaaabdacbbcaddbccacaacddbcbbddcbacccccdabaaaacbdcd
+adbcdcbabaaabbcccdccdcdbbdddbcaaaabaaaadca
+cbadbbcabaacdaccccddbbcdcbadbdcaaaccbcbcdaadbbadbcbbadaabcc
+aaccbbbcdcbabbccbabbbdcbaccabdabcdccccbbaddddada
+aadaaadabbdabbbcbbcbcbbacddcaccdccdbbdabdbdabbabaaab
+bbbbcdadccbdaadaddcbbbacabbaaacdbdcadcaadaaddcbcccbacacdcddc
+dabbdbdacdaacbbacaaddacccbacccbdcddbadcdaaacddaddbbabcaadacdaddbbbdcadcdcbcdcadddabbdbcaaabaddddcaabaaba
+acdcddbabcdaccccacbddaccbdacbddbbadbdaaabadcbabccdabbaacaddaadaabccddaadccbbbc
+acbabbadcbdbcdcccdab
+bcdaadcbcacdbdcbdcbbaabdbaaacdabcbcdb
+bdccdcbbadcacccdccabacadc
+bddacbcbcdcdcdcacccdcbddaabbacadbaddacdccccdbcacaaacbabbbdaabddbdcbc
+daacbabbbaccdadbadaccacab
+cdcadcbbcbcdabdbbbcdbcca
+cccaddabcbdacdcdaadbbdabddcb
+abbaadbcadcbcabbddbcacb
+addcaaaaabdbcaabcbdaaadcddcaabddddbaccdadabadbdcaaacbdbaccbdccabcaabddbbaddcbcbcabdcacdddbbddadbcbacca
+bcadbadbcbbcbabdbaabadcabaaacbaaccdbbacbbadcdbadccbbcbdcdddbabbcabcdaadabbcacdaabbaaddbddbabbccaaddbaadadbd
+cbdbccabcabacaddcad
+adcccdcccbabdccccdabcdaacddbdabdcbccadacbddabaadbbaabcbcdbbadbcdacdcdcbccaaabcdacbadccadacbabadbdbaadaacccbd
+aabbdbabbbdcbdaabcdbadaacadbabcababadacbbabccbbdbbbdcddcdcddbbcdccabdcdbdbacababdaabaaadabaaababcbd
+bbdabacdabbcaadbcdaabaadbccbcbbacaaacbbaacadabbbbbdbddb
+acdbdcaddadacccbaaaabcdabdcbaaddacccdbcbcdccdcabbcbcdbcabadbdababbdcbbbd
+cbaaacdaddcaaccbbadccbbcdcbcbbccdddbcddbddccbdcbcadcdddcdadcaacbacdadbdbbdabbbcdbcbaabcbacad
+bcdabcabaabdcadbbbaddd
+aabcbddadbcdcdaccaddadccbccaddbacbdccddadbdadbddcabacbadcdaababccdabbdcacdccccbdacdccbcadbadcbcdbbcdabdd
+baadbbdddccbcdcdcdcdbbbdcacbddddbcadddabaaddccccdbbdadddacbcddbccbbcbbacaacabcdbcbccddbddaddbcabbacccbc
+babbcddcbbbbbbdddcccdacabaadabcabbcdaddbadacdbdbbadcccacbabbacbaacbdadbacaabdcbbcddaaaccbabcbbbdccabbdbddbcca
+bccabbaabbbbaacacbbabaddaccbbadaaabccdcabbadadabccabdadbaaddcabaddc
+acdabcbccadcaaddcdcdddbbacdaaad
+acccaccadcdaadbdaaab
+bbcddbdabbadbccdacaa
+dcdddbbacdadccccdccacbadddccbaadaaaacaaccddcdbdcddcddcabccbcadbabdcdacdadc
+ccdbabadadcbbadcabcdadbabdcabdaddbbcdcbbaabdaddadddbcddccbbdabcacbacdbabaddaaaababdccdccbddca
+dbcbddbdaacabbbcddcdca
+dacadcbbbcadbadbabaccccbdacacbbabaacdbddacbbbacdbbabbcddddbbbbaabddcbbadabaacbbadabdaaacadbdbbcaacbcad
+cadddbcdbaabbabdadbbbcbdbcbdacdabadabbcdbbdadabbddddccdadbccadccdadcbcbdb
+addddbcabbbbcbbbccddadaababdcdccbcdbaabbaddbdadad
+adbdacbdddcbcbaabaaaddbbcdadaaccaadbbbddddb
+dabdcbbdacdcaaddcadbdadcacdbcabaddcadacbbabdacaccbadbccdcdadabaddbdbcdcbacdccdccbbdcaadbccbdbadccbbbcd
+dcbaccbadaccddcaaaccaaddadbcadbadaccacacdd
+dddddabdcabdbbcabdbdccdacaaabccbbbbcdcabdbdcacbcdbcbbabacbbbdaddbbacdbaabaddcbcbdbacb
+cddbacbabccdaaaacbcb
+aabcaaacccaccddcbcdada
+abacacadbdcdadccbcbcabbdccddbcbcbacdabdcdacdcdda
+acccbcbcadcdccdbdbaccbdcaaacaddccddccdddbcabaabbaadacbcacacaabccdbddcbccbbdddbadcbabbdcbadaaca
+cacbcdddacbcbcabaacddcdbadcddbabcbcaaadbbbaaadadcaaaabdbacdcdaabdccdabcbddbabcacddcdabbcddaacacabbaaaddb
+adcacaccbabcbccbadacbacaaddcccbcccaaba
+dbcddbcdbbaccaadacbaadcddadccdcdcaddcaddadaabdadabcdacababaaacadbabddbcabdbcabacdcbacbbdadbdabbacaaca
+acbdbccbddaadadbaaaccbcbcabbbcbdacbdcbcabbdcdbbbbbdd
+cdaadcbaaddbccacacbabbccabcbabdddbbdaddcdbdcacbddbcbacccdbcbdbcaadddaddbdcbabdcdcdbbccdbbabccddcdddbbdcaba
+bdadacbdaadbcdccbddabadcbdbbdcaaadbdbc
+bcdbaaabbcaaccbdccddacdd
+bdcddacadbdbccdadbdadaccddcccaabbaababbdabdbcdddadccbdbccd
+bcbabbbcdddcddadb
+bbbcbabbccdbadcdbdbaabdaaaccdabddadababbccaacbbdcabcaaacdaabbadbbadddddcabcdb
+ccbdbdcadbbbccdcadbbdacccbbdabadabdbdcacaccddcbcaaadb
+ccdacdbbabdddabdcbdccbaddacccbbbabbdabddbacdaabdba
+bacadaaccbabdcacacacdbdcaddcacbdbdbadacabbccaabdbbbababbdbaacbdabbdcaaddabdabcdddaddcaacadbdcbcbddbcabdcbbad
+acbabbcbdbdcbdacaadbdadabbbcdabcdadcacdbacccdacacabdddabbbbdadcabbcccbdaadaacabdacbbbbadcccadcbdbcccdadadb
+baaabbcadbdddaaacacdabbccccbcccbcaccabbbcbacbaaaddbadbdbaccacaaabadbddbcbbacccbdcbdcabbcbbdbacbd
+dabdabcdadccadaabbbcdccbcaacbbdbabdddbadbdbbdccaca
+bddbacdbdbcbbdacdbcabbdaccacdbbcccdbaaabdaaaadccbbcbdbcabdabcbbacbaccdcabcbbbabbdbaddcccbdabcccdaaddbbccdbacc
+dbcbadbcbabccbdaacaddacaccaaabcccaacbcddacbaaccdba
+cbdbccdacbdbdbbaabcbaccacaabbaacdcdbaacddabbcbbddbabdbdaaddaacdabaaccaacdabcdabaccdcdcdaaaacdaadaabacccbab
+adcadaddaccaddaabbababbaacdbadadcdbcdcdddbcdbdccccaacdcddcbddcacbcdabcabdbdcccdaadcdcbddbdbacdcacd
+dbddacddbbabbabccddbcbadbaccaacdddacadbdadcbcacadcabddcabdccbddaaaaacabadc
+bcacbbadcccaabcbcabaabcdccdbbbbccddbacdacaddbdddabacaaabdbbcbcbccddbcccdacbcddadbccbbda
+acaabdddaacbbbcbadabdcbcdadbbdbaadcadadccadccbaabbcacaddcbcbadcbaddbacdaadadbdcdbaa
+bbddadddaaddccddbdac
+bacdcbddbdcccbcbbdbbdbcdcabdccbdbdddbadaaadccbbddacccdadbdbdbccbbbacdadcbbabddbaaacddcbaacccacbcbddaaaa
+dcbcbdabbccdbaccccdccdbaaabccbcddcbdbcadadac
+cbbddddbcccabdbbaaddddbbabacbbbcabacdadcdaacbaadacbddabcdbdabbbaccccbccadbabcbdba
+caccabdadbddbabbdddaacdccabcdddacccacdbacbadcdbdccdbdbcabbbadbbcadccdddaadacaaaabb
+bbcdbaabcacccbdbbcdaaccdddbcbabbdcb
+ccbcccdaddadc
+bccdcdbccdbbdcbaccddabdcbdaacbbbacdbcdbabaabdccbcaadcadda
+daabcbdcadbabdbaccacbdcabdabbaabaadddbdabbcacdaacaccdaacaacacabbcca
+ccbdcdbabdabbbbdcaadcbddcbbacdbaacdcbbcdddaadbbcaacbaacbdaabcdbcdbbbc
+dcdacdbbbbbaadaddbbcccbababaccbadcddccdcacacdbddcbcab
+205 79
+aacbcdbbddabcbddaabcadabdbcaaacbddbcbbcbddcccbccbadbbdacdbdcdbcdbccbbaadbdcaaccabcad
+bbdbaadadabccbcabdddabcdbbcccddacbbacccbbdbdbcccbbbdddbcbdadbaacdbcca
+dbaaadddcaabdbdadaadabdcdcbcbadcdbacbccadbdacdccbdcbdcbbcbaccabbcaabbbdbcdcbcccbabbcccbcdbdb
+cbaadbdcdbaabbcbababaaabddacaadbacdccdbaacbcb
+bbbcacbbccdbcbdcddbcbbddcbcacdbacbddcaaacddbcdbcbababaddadaabccddccadadadddcdbddaacdcdaddb
+cbdccdbbacacccdbcaddbcddcacaccaadabaadacddccbbddbcdaaadaacdcbdcbcbdccadacbdbdbbadbbdddbdbdabcaabcabbcdb
+adacdbbcbaacccdabbdd
+dcbcbbcbccbbbcdbabddcbaaabdadadbbccacacbaddbdaadabcadaabdcccadb
+daddddddbc
+cbacdacdbadcacaddaddccacdbabdacbdbacacbabcdccddbcbcbbbaadabbaadddccd
+cbbdabadbabccdcadadcbaccbaacbaaadddadaddbbcccdbdaaaaaadacddbccbabbabaaadbbdbdaabbadddcddbdcddcdbbcabdda
+daccdadcbcddadbaaddbcdac
+cbdcdddcdcdcacbbdbdadabdbacdadbadbbcddbdacaddd
+cddaccdcaabcbccc
+adbdcacabcccdcdddaccbdabab
+ddccbdddbbbdadccbacbdcaabdbabdbccbddabdccddcbbbcabcbacdbdcaacbdcabaabaccaacdbaaadcdbdadcbabbdabdbb
+daacacaddadadcdcbbbcadbabbabcdbcaddbcaccbbadcccbabddccdacbaabbcccbdabbdaadbacdcadcaaddad
+dbcdcadabaabddbbdbdccadcaccddccbb
+bcaaaaadbdaccbcbacabbcdbaababcacdcccccbccddacababcaacbbcbdbbdccbdbddbaacd
+dbacaadacbbbbccdccdcabadcddacbcacccdbacbacddbadbbdbdbccbbddcbdcad
+adbbaacdbdbdabcccdaadaddacaaabaadacabbaccbbdababcdcbbcbbbdcdadab
+acbddcaadbabbcb
+bbdaabcccbdacccbdbbbddadcbdcabbabadaadadacdcbdbdaaadbdadabdcddcdbacaacdcadcccddadabcdb
+bbcadadbdccbddbaddccabddcccdcabddadcbcabddccabbbdbcdadbcccabaaaaadbcaaaddbadbdadbbdbbabcbabcbbaddbacacbbd
+abcccddbcbabbccbaccadbbacddbdbabdbcabadaaadabcadcccdcabaabbdcbdcbcbdbcbcdbadccdbcdcdacabacbcabbbbbbaabc
+bbabaccaadbdbddcbaaacdaaaaddcbdbbdbacadb
+cddaacbcaadaacbcbddaaaababbabcccdbdbadaadbdaabdacccbdabaccdaaadccabcabaaddcbdbdaacbcbcaadcddbcca
+dbbadbcbadbdcdbaddbcbcdcbdcbdccccccaabbacbaacddbbcbdcdaacdcbcacbcacddcdbaccccbbddcdddabcd
+aabbddddabcddcbddbcbbdacacb
+babcccbdddcaabaadcccacdbbbcababbddcbcbbddadadbccaddbacbacadcdabaaccaddaaccca
+babdaabbbddbdbbccbcccbdddac
+bdaadabadcdcbbdcccadacdbdccdaaaccadacbdabbabdcccdabbbabbabddaaabacaaaddccdadbcdbbbabacdbdadcdbcabcdcbbb
+abdacddcacddccbbddadaabbcadaa
+cbdcbccbdddbdcdacbdaaaccabacddbbaacccbca
+dcadccbaabdcdb
+cbbcbcbcdcbbbddbddaddcdcdabcdcacbcacddcadbcdadabbbdbabcbdbcbbbcaabddcbddddaccbdbcabcaccdccbccbaababd
+ababaaaabbdadccddccdaaaadabad
+caaaaddddaddacbddadddcabbd
+cbcbacdacddddcaddcdcbabaacaacbda
+accabbdadbdcbaaaaabdddddcabdacacbccdbcdaddcadaccbbdbbbadaaabdbbccbaacdbbbbadaa
+cdcccddccadcdadddadcdbbbacaacbdabbaaacdadaabdbdbacbbccdaccacddbcaaaccaaccabaaaad
+acadcaacaccbbcbdabccbcabdcbbaaddacbdabaab
+bddddbbabbaaabbdbbddcddbdddaadabccbddabcabbabddabdddaaabcbabddcacddbabcacbbacbdaabaaaaadccabbd
+abbacbbdbbabbcbddbcaaacbbbdcaccadaabdbbaacddbdcdccacbcadbdbddabcaaccdddacabddbdca
+bbdbbadcadacdcdabbcbddbcaaabcbdaaaccdabcdcdababcaadaaadacdcaaacacadadbcbcabadaabaccccacddabbdbccbcd
+dadbadcbabcbbabbacacccccbbadacacdcabbbdabddccdcbbcabdabdacbaabaacaabdacdbcaccacdcddbcdcbbaaaddabdbcccd
+cbdacbbbccadbadadaabacccdbaddcbdaaa
+dcacadabdcbabaddcabbcadacdcbbbcadbabdcdaabaaabbaccdcdbdbbdbcaacadbddbabcddddaaccaddacaccbcb
+cadbdbddbbbbadcdddddcbcacdccdccbbbaddaabccbbcbdcacbdbaaabacdbbdaa
+bcdaccddbbdbcbccdddbdd
+daacabbabbccaccdbbabbbabdacaacbcdbbaaddbabcbcba
+adcbbbdbacddddababaaabcaadbdbbddbbcbacbadddacacdbdcbcbdcbdaabddbcbcdbabacbdbcccabccabbbdbcadcaccbbacacacbc
+cabdbcdcdbdddadaadddcdddabaacc
+dddccaadcdcdbbaadbccacbbdbcdacabddbcdadcdbaacadcccccdaccbcddcadccabbcacbdbabbbbaacdaaaacbdbccbdbdbdba
+addddbcbbad
+dddbadbdcdadabcdbadbbdccddbabdbaccacddbcdbbbcbbccbdbbcabcacacbc
+bababcdccadcbbbddddabdacdbdcbcadacdcbdbbabcacaadcddbaccababcccadcdbdbaabbabccaabbabdbccbdc
+baadcdaabcadbcdcabddbbbb
+adccbbcbaaccbdcacabdbdbdacbdadccacddcbabbbbbddaadbdbadcacaaada
+bacbccccabbadcdcdabbbbabdacddbdcabcdabdcabcaaabbcbaadcbccdccacbbbabbdbadcdbabcaa
+ddadcdacaccabbbcddbdadccdd
+dddcdddadaccbcbccccbdaadcdddcdbcbcbbaaddacddbbcbddcbcbbcbbcbcaacdbbdcbdcbacdadbbbbddbcacbddbdbbcbacd
+acacadbbaddcaaabdadacbbbcabdcaaacdddadddbbaaaacbabaddacbadcdbbcadbaabbccadbacacdd
+dcaddbadabbcaccbbadcbb
+cdaccbdcbbdcbaaacbbadbbaacaabaacbaadbcdacbddbcaaddaacddcccbdcddbcbbcdd
+bbdacaddbbbdacbacbacacbcbabcbddccbaddcbddbddabadddadabbabbaccdaddcbccaacabbdddcacacdc
+baacdcbdcbacaccccbdaaccdbcddcbcdcdbabaabbdadbddccbacacccbcdddbbaadcbbaddcaabdd
+ccacacabcaadcddbcdaaadbcdadcaacdaadadbdbdbabdaabbcbaacbdacacbcddbbaddadbcdacbcbdabbdcbaccadccddaadbccddabbccd
+acccaadcabbcdacddcabdcddabbacbabdbcaaacbcabdcbdcaaaaadacbadbddbabddcdabcabadaccbddadcbcadbcdbbdddbc
+bbcbdcaabacdbbbcdddcbcdbbcdbcbdacdaccbdaabdbaccccbdacbacdabdbabac
+abcaacdbbdbadddddabbddcadddbcccdcabaaaaadcdbdbcaaadcdbcbcccdaacbdddbbcbcbadbaddccbabacdad
+cddabbcddcccbcdbbbadcdadccdabbcdaabadcadabdddcbbaadddddacbddccdddadbaddddcadacbdabaccccdbbbdac
+bccddcbdadcbcdccbabbcccaaaccbbcddaaacadbbccabc
+acadbcdbdddcbdbcaadcddaddabaabadbacccdcdaacccbabcdbdaddacdacbcaacddaabbbdabbcbaadadcccacccbdbbcccccbccdbcd
+dabdaaacabccbcaaabbccdacbaccdbcbccdadaa
+dcddcddbdadddddbdbbddacbdbabddccccbabcbdacabdcddadbbbcdabdbbddcbbaaddbabddbcbacbbdbadbabdaadbaab
+caccbcbcdbadbdcacabdbbddadbcbc
+bcbaacaadbcadbabdbcbacaccdcbcdcbadccacccbbababcbdadbabbadaadbadaacdbbddbbcadcccdaccdbccccbabadadba
+babddbccbadaddcbdccaadccabaacdcbbddabdacccaddbddabbcaaccbbcdcbddcbdddcddcddbcdcdcabddbcaaadaba
+abbadcdcddbdbbcbddcccdacbabbcdccddadbcbcdcbbaddbbaacdbdd
+babcaddcccccbddcdbccdabaaadbcdbbaaddadaacdddabcaaddacbcadaabccaabdadcbccaddd
+aaddbbbbbbaadaabccadacbaadcabadd
+cadbbdcbbbcdcddabddcabbacdbabccdabbdccccd
+bcccaddbbadbcaaaad
+dbbcbbadaacaaddbdcbbbb
+cacdacaccccbbddbaddccbaddbdabbaacdcbdad
+daaacbdaaaaacdbdccdcdaacddaaaa
+dcccdabbbbabacbcdddbaadacc
+acacbacccadacaacabcddb
+bacbdbdaccacacbddbccbdddc
+cbbadcacbbabbddadbacdaabbbaaddabcdcacabdabbcccbabcccddabddbabbdbbbabddbdcccdcbddcbcbbbdcdbdcbd
+ddadbaabccadaddadacabdaccbbbbcdbacbaabccbbdacdaaccbcadcaacacccddcbcbbcaabdadcbbacaacddaddcc
+bdabaccaddccdcadcaadaddaabbbadcdaabbbbcdacbd
+cabdddacacacbaabddaacbcabacbcbcdadddabbaaaacadabbcaccbbbcdadbadddabbccabdacddcbabbabcdc
+aababbdbcbcbabbccbcddabadaccabacdccaacabbbaaccdcbaa
+cacdababbdbdbdadcdadcccabdcdabccbabbcccadadcdcdbbabbacbadbbcdadabdcdccaadcbdccdddcabbaddcccbcbbddccabd
+ddaacadaaabaddbcbdacaabdad
+ddbcabbbdbcbabdbbcbdbbc
+dbadadbbcbddbcbcbbdbdcbccdbdbabddcadcddcbddcacbddbdccdbbdbcdbbdacdccaacdadca
+bbddddabdddbdaabdbbbcaaabaacccdcbbacccaadcadddaccbbbababccdbdccdaabddadcabbacb
+abdbcbccccddbbdbbddbaabbbdbccccababbbdb
+acddcdbcccbcdbacadababbcbacddaccadacccabcdacdbaaabccbdacddbadb
+ddbdbccaacadccdcccbabacdcccbcaccdbbdbcddbcdddabdcabacdcd
+dbddadaaddcbcdadccbbcaddbdcd
+cbcdbcbbdacbdbbbadccdcaaaacabcbdabcccbbcadba
+baaabadbbbcbcadabaaaabdcbabcc
+dabbbccbcbddacdabdcbcdcbddcadabdbbaaccbcabdabdcbdbcbccabcdcccbaacbadcacbbdbbbdbbcbacbadbabadbabbaaaddbcabcb
+ddbbcaaacdcbdbccccaac
+ddddcdabcabbdcdabdc
+ccddcddcdbcccddabaaabdbbcdbcbaddbbbabdbabdbadcdbcbddcbdaadbdccbbacccddbadbacbcccdaadaaaccbbaccdb
+abbcdddcdcdaadaccabbdbccdbcaddacaddbbacbdaccddacbcacbcbbb
+cacaabaabddcaacabcccccbbddcbcdbdc
+bbbdbdaddbacccdacccacadaacccbddccdcdbbbdcdcbdababacccdbcaccbcbdddcaaacabaabbacdbadcdbacdcdccdddadcddbb
+ccadacbdacaadacaccacacadbaaabccadccbccdbcddbaccddddacadcbddbabaadccbdbdacdbddbaacbb
+addcccabbcdcdda
+dbddbdbcaadcbdddbbdacadcddccdccdddbccddcbbabbacbadbcdcb
+aadcbbbcbacbcacdacbcbccacdbdbdbaaacbbaa
+dcccaddaddbacbdbacbcbbbaaddbdabddabcbcbacacccbbbcdabdcacbdcacbccabbcbddabbadbcdacdcbadbbdbcccadcaadadc
+ccbcddbdaabacaccccaabdcabccbcacbdabddcbbbadababaacbacccadddccadadbcaacdbcddbacaadbaddadacbacbaddccadccbcccd
+ddcbbdcbdbdccbccdcdadcaadaacacaddbcacccbadddaadabcbbcbddbabbccd
+babbcdbbcadadbbcabacaddbadaaaacdcbbc
+daaacdddcabdcdbbd
+dacdbcdccaabbdacbcbcadcaacbaabddacbccadbbacaaadaabdadddbaabbbcdaccadcbcdabbbcccbbbcdbabdadcd
+bcbbddadbbdbcdddbbbacabbdcadcbbcdabcdcaaaddbdcbbacaaacadda
+bacbcabcacddaaddcacbddbbdacadbbdaabdccbbabdabdcaadabdddbaccaddcdcbadcbdbaaabdacbabaadabccbaccaaddbbccccbbca
+cbbadcbabacbadadcbcdccbbcaadacbddcdbd
+cbacbcbaaddbcaddbcadcaddbcbbbccdbbbdbbdbddbdbcccccdaadabcbabdaadcbac
+bbdabbaabbdadcaaccabdaadccdcbbbdabdaaaaccabdbcabbdadacadab
+caaddbcdabacccdadcacdbdbcccdbdbcbcbaacbdbbdcbabcdadaaabcadcab
+bdbcdccbbcbacbdcabadddddacddadddbddbaddcbbabcdadaaaadcabadcacdbccabcdaacaddbabbddcccc
+accddadaddbccdcbcdddbbbdacadacbcabccdcbacdbddbaaccdddaacdabbbabdacdaacdababdca
+dbdbdbaabddddcacaabababcda
+cbbddcabccbaccdadadbbabdaacccdbacda
+abdcddddaadadaaccacaaccababaddcaadbcabccccaccadcbdacc
+cccdadcacaabbcabcccccbbbbdbaabdcccbccaababcbabadbcbbdddbcbaddcadbcaadbaccbcdd
+dccdaaaabbdcca
+dcbdaddcad
+cbacddddcddcbdbccaacabdbacdcddabcdcbcabbabbccbaababcbaababaccdcbadaaddaadadcdabbbddaccaabbddb
+adabaddbddcaadcdbdddbaaacccbcadacaaadadddcbabadddcabbcbbdaabbddaadcabdccbbbdbbcabbadbbdadbcbdaaaaca
+dcdadbaaacbabbcdbadadddadaadabbcadbabdcaadccdcdadabdddcccdcbdcabbbcdabdddbd
+cadaaadcdcbabaccbcbaaaacbdacaaaadaccdaadcacaccaaacddbdbbdacdcaaacdcbdcccaaaabbdabbddddbbadabccbccdd
+cdaddacbdddaacdaddcabccbdbbbddacccbbbcdcaccbdadccadaadbdcbbccbadbd
+ccadcaadbacacdcdadbcdcdaacdaaddbdabaaddcbbabbdcadbd
+ccbbbadbadcaaabcbbadbccabbabddbaaabacdbbcccdabdaaaabbccaabdcbacdcdddacccadababbcdccbd
+accddbcccdbbdaaabcbdbbbcdcdabdcbacabccccbcdac
+ccdccdcccddcadadbabababdcaaaddcbbddadbdbbbdacadcccddddacdaddcbabccddaaadbdbcabdbbbba
+cdddcdbdbaacbcdbbbdadcbbbdcdddcabbcbcaaccaadacdcddcbbcdcaaacddcbbcccabdcadd
+dcdabadaacccdbaddaabaabacbdcdbbaabdaaabdcaabcbddacdaadbcddabcdbbbdddbbdcbccdaabacbdacdd
+bcaaabbaabdbabcacccdbcaddbacccbdacbdbcdaacdbcaabbbabaacdaabdcbabbcccdccbbdacdddacaccddaccddcdbdbcb
+daddcdbcadbabdabadcdbccdccabadd
+daadacdcccaabcbdbab
+bcddbbdadbbcbcacdabdbbacccbdbdcacdbaddcdbcdacbacbacbcddaaabbaccacdcadbacdbd
+bcbccddbcbabddbdacbdbccccbcaaaccbddbccbccddaddacbadaabdccaaaddbabcbcabaddcacaababcccdccaadadbba
+bdbabbccbcbdaadbcaaabbbdada
+cccddcdaddbdbacadaabbabbbadccacbadcaa
+cbcdabdcaacbb
+ccadbacdaacabbcdbbbbbdbcddadbbaadbccacdbccdcadbbddddadcdbdbabacbbdcaacbbadcccaccbdd
+ccdbbcbaacb
+addbbdcbabaaaaccbabbaabdabdbadaacdbbac
+cbbdadacaccccdbbdaabadaabadaccdabbbcaababdcccabaadadaddcaaccabcbadbbbbdadadcabaccdccdbddc
+ccaaaaddaccdcccddddadcaabbdbcaaacacbaacabccbbcddbdcbdcbacaaaddabcdcc
+cbadbadbddad
+dbbbdabdaddbdaacbcdaaadaddbcaccccbbbdcbaadbdddcbabcaaacbdbdddabcdddacdbbab
+bcadcabbabadacbddacacabddbdcabbdaabdddbadadacabccbdabbcabdacbababbcbacdcabdacddccaadbaccdddccdcbbcabcbdbc
+adbcccdbcaadaaadbababadcbabcadaaddcbdccccbadbd
+bcccadabbbddddbdbadccdbcdacdcaaabbbbadbaaadcccdadadbcbbcabcaabccbbbdd
+cbcbdcbcbaaabadbbcbcdbacabababdcaaaddacacbacaddbaaddbdddddccbbabddcdcbdccbccababcbabb
+bdaababdbccdccabcbdccabcdcaaadddbdcbdbbbabbdccbcbacadcdbcbcddabdbbbbcaaabd
+bdbdcabaccddbabddc
+aaabcdbbccbddbcdbdabcacbadcbcbddccdcacbbdbcbdcaacddcaccddbadcabccaaccaddbcaadaaddacbcac
+ccabcccccbcacddccdcbbdad
+acdddadbdcbdcacbcccbabacccbbaccdabdcddd
+bacddcaadcbdccacdbbaabcbcaaccbdccdcddbaaddabcaabaadcaccdabdbcacadbd
+dbadbbadbcdbbadaabbcaccbdcbbcbcccdcabacabdcbdcbdaaccbabaddbcabccadc
+bdcbddadbaccadbaaaabdacbaababbdbabcdbca
+ddadccaacdd
+adcdaccaacbdbccabbabcccaabcaadbbadadcdbbbbdabccbabbdbdacdaddaa
+bbbccbdddbbabdbcaddbdabcddacadbcaadbabcaadbdbddabbbddbbacdcadadbccbadcaccdd
+daacbdbdbcdbbcdbbdcacaddacddbdcaddcdbbdadddabbcaddbdcaaddaacbadabbcdbcbbdaccddadadbcdddbcbaabbbaadaddddbbdd
+bdabcaabdbdbcabbdacccbaddddccbbcbacbcdacbcdaaaadabddbbddadabccbddabcdbbbcaacbdadacdcabdccadcdcadadcddbdcd
+ddbbaaaabcaacbbabdabbcdbabdaccdbdaacccdbaaabbaadddaadccddabbdbb
+bddbcbbbadaadcbacdacbbbccbcacaccbabcbbddbcbcadcdbbbbaddddadcaccba
+cabddbdcabacbdcbbdadbadabbccdcdcdbaacdacccdabcdbbacbacdabcccdbddacdac
+bbaaabdbcccacaaabcbbccbbdbacdacdcaacbabdccadbbadaabbcbacbcdbccddcdaabaababadadbdcccbabcd
+caddddadcddbddbcadadccdaacdaacddcbacacbddcbdaca
+caadacaacbcadbcabcbaaddccaadaddbdaba
+bcabadbaadadcdabddbdbccbcdaaddaadaccccddccdcdbdbdacdaccbcdcdaaacdbdcbdadabcdcdaaaaabcdbbdbabbabdbacdc
+bdcaadbcdddacdccdddcbadaccacbaacddcaaacdbbacbdcda
+dadbbccccaaabcccabdbcaadbcddbdaaddbcbcadaacbddadabbcbbaacdcadcddadcd
+aaabdddcbdcdcababdadbbdddbcaddcbdcabcbbbdbcaaabaabcccddcddcbcdd
+abccadadbbacbcbdabadadcbdcdbaabcdabcbbbcdcddaaacaabcbcdbabadcabddabbddcbdb
+caacdccccbcbbcbaacbbaddbbbbdababbabcdacaccbbbbabddcddbabdcadabadbaa
+abbacccdaacacccdadbcdaddddabbdab
+cdaabaaaadbbbcadcbadddddcbdd
+acaacddaddadbbbcaddbbddcbbabccdddadbbcdcdacaccdb
+bcccddadbaddcdddabbabacabdcabcaabaddcaabacaccdacbdbcabbacdad
+badacdbcbbcdaaacbbbaacbdbdcbddccacbcabcdbdcadbbbdddabbbdacdacbcdbcbacbbaadbdccdcbcb
+ccdacbadabbbbcadddbcdbbaa
+daabaddcabbdbc
+bdcddcadacababbdcdadbdcbbbccdbbdcbcb
+ddcadcdaababaadbbbbddbdcadbaabdddadaadcb
+dbcadcabacbcca
+bbccaabaadaa
+accdddacaacbdbbacdccb
+abadbabcadcddcbabcccaacacbbaadbcdbcacaadacabdaabdacbbddacbacbdbdaddaadddbaa
+237 85
+cdcccccbcdcddaddbdccdcabd
+caaacccaabdaacdbadadccaacccbdcbabaddbadaacdcbdbcdbaaaaacacddbcddcaacccadac
+dacdbaaabdcccbbddcdbdbcadcadbba
+bdaccbadcbddaccbbcdddabbacdaacdaacacabacbacacdabaaccbbdcabcbbccbabcabbab
+cddbdcdcddaabcdddad
+dbbdacbdabddadddacdbaaccacbddbcbaadabddcadcdbcaaaadbccbbdbcdadadccddaadbbacabbdadbbbadbbaa
+dbadaabbbbacacbbbbddabdbd
+babcaabdcabbabcbaadcdbddbaccdbaababacdabacbbabad
+cbcddcdbbcdccadcdabbdaddcacdcbddddcddacab
+adcbccdccbadccbdcbbcaabbbdbcdacaabbbbabcadcddcbbccacdbcadacbcccacbbdaaccbccdcbcdaccdbdcbc
+caabccbcababbbdccdcabaadabdbbddcaadbbbcacbbbbdddcadcbbcdbabcdabacdacddcdbacbbcdaddbbadcacbddbbbdcdbd
+aadaacacbabadcdcdcacbdccabbdaddbdcbddcdcabbdbcbdbaabdcdddcadabbccdabbcacbacd
+dadaaddccddcbddddbacdbaccbdabbddacbcbdccdddaccbdddbdbbabcabacabda
+aacbcddbddca
+caacabbcadacdbababbbcadbbadc
+abacbbcddbbcbbccdcdaddbdabcadccccbbabbbcadabcca
+adcccdcbdba
+cdbadbdbdabbbacaadaadadaacdccbacddcbdbbcdcdcccddccabdaadcddaabaacccadad
+cddbbdddcd
+daacbbaaaaccaadadcaacabbadcbacadcabbdbccbabaaccbabbbacbbbddbccbbabbbadcbadbbcdacacac
+cbcddbcddaaddacbddccadcdbcbbbcddbccdaadaaacccbdcdcbabbbcdccdcabbbaabbbdadacaabbbcddbbacbcdadadcdad
+aadccdddddaacddbbaadcad
+bacaabacabcbcccddbabdcaadbadb
+dbccbbdbaadadccadcaabbbbbdcacababcbcbdcacccddabdbcbaacacbddbcdbdaddbcdaabdcacabddcbbcadbbadabba
+bcddcbbcbbdbdabccbadcbacbdcadcccbcdabbaabdcabdddddadadaaacaaabdbccdbddadba
+acbdcbbccad
+baddbdbbddddacbadbdaaacccdbabbacacbabdabbd
+dcdcbdbcbdcbacbdabcabddaadccacbcdcdcaaddccaaabdcdbccbdddadbbabcbbbbdcacdbddacaaaccbbadbdbcbdbbacdbcdac
+cbbbdbbadacbcacbdbddccdadbadcabacccaacabbcdbadbbbcaaadcadd
+acdcdbbccbbdcaacadbbbcdbdbdabbddaddbadddcbbbcbabcdcbaabbad
+bccbabdadaacccabcacdcbddaacddadbbcaccdbbcbaad
+dabddcaaacaddbcacbbaaacdcaabbbcabcadaaacaddbcdbddcd
+dcdcdccabbdbaacbbdbdbaabadddcabcdaacbddcabadccdbbbaaacacda
+abbdaccadadddbdaacdccdbbddddddbbbdcdaabdbaadbcbccbbabacccaacbacddabbacbaadbacccacacddbcbbbdcdcdbbc
+bbbbacccbcdcdaaccadaadbddaacbbbdabbcddbddbaacdbbdbaacdbbbbacbddbdcdaddcbadcadccdadadaadabd
+bdaadcdcdcaacdaabcbabccbbbcbadcbbdbcdddddccbabdbdbcadd
+cbcdcdaadcddadadcabbdacaaacdddcadcabbccaabcabdababdaabdabbdaccadbdabcbdbb
+cdabddddaddbcdabbccdd
+cbacbddccadacacdbbca
+bdadaccabcbbccaababaddbbbcddaacbbdcabdbabcdccdaacddccddcdbdbbdaccddcbdddcdddabddabdaaddbdcddadaabadccbdcd
+ddbcaabbaaadcccbccabadccacdcdabaabbcbdcbadbbbdcabcbccaddcacbaacdcbbdab
+dbaadccadbaabcaddacddcb
+bababdaaabbaad
+acabcccbbccadbabcdadacabcbbacbdccaccccac
+dbcbbdcaaaaccbabbadabddaabcccdccbddabdcbddcbdabacdccddcabddadddbddaabc
+bcadabbdcadccdcadbddaabcdbdcddcdbbcabccdddbbcacdacbccacaacabbdbbdcbbadcaabddabacbcbcdddbcdcbbbacbcdc
+ddacabcbbacbcacbbcaacaadbcaaddbbdba
+dbdcbbbabcccdd
+aaccbabbdacbdbcddaaabdadabcdcdcbaccdaadcccdbbbcbdbdbadadbaabbbdbcdbcaaadcbcbdcccac
+acadcbacdcdbddcaaaadabdbadbdbaaadbddbabccbaabcbbaacabbddccdacdbcbbbdbbbabacadacabcccdccdcdcdadddddaabacca
+ddcdabcabbcdbdbcba
+cadcbdabbbdcbaaabadacddcdabbdcddaabacdacaddcbbbbdbdaaacbbadacaabbcdcbbadaaabbabadaddddbcba
+dabdacbddadbadbadbbcaddbcdbddcadcdbaabacdaabcadadbccbdddadbbacabbbaabaacaaadbcaabbcb
+badcacbcadaaadbbbbbaaabbbbddcacddcaaadaacbdacdcdbdccacccbddccbcccabcaacacbcdcd
+badcabbdabdddcdbddaaaabccaddcadbccddbadbacbcaddadddbcadaaddcbbcccadccdacadccc
+dbdbddcdabbdbddccbbddbbbcccddbcacabdcccdddcdcdbbbbcdadcabbcbbcadabacdadbcacccdadbaadbbcbccaca
+cdbcdccbcddcbdbbdacdbbddaabdcccbbaadcbcccdbbcabababcddbcadcbcbbcb
+dbbbbaccbacdabcddddcbabccdaababc
+abdddccaadbcaaadbdcaaabdabdcbbcccacaadadbccaacaccbcddbbabccacbbdaacddab
+acdcdbaccbcbbadaacaabddddbcbdcb
+cbdaccbbbdaadccadaccaaddccaccbbbcabcbcbadcbadd
+cbccbdddabccaccbddcacaccdbabccaabacbcadbaabbc
+acdabbaaadcccacbcdcadbcdbacabbccdacdccacdbdb
+cdbbcdddcdddcdbacaacbcaabcccbcbbabcbbbbcdddaaabbaccccdcbcacbdcbdcdacccbaccbdadbdbdaaddabddbbbb
+abdabbddbbcacdcccbdcdddaddcbcbddcdabdbbbdbd
+bcadcaddccacdcbabaaccbbacdbdccbcaabbbbdccaabcaaddcbdaddaccabcaaabccbddbdbadaaccbbb
+dadcccbcbbaabbabdadacdadddadcbdaddbbadbbadacacadabdcbdaacabbbcdcbaabbdbbaacbacaadcacacbbddcadcacaaaacdd
+cabccbbbcddabaadadacdcacdbabadcccaaddbbdddacbcbbddbadcabddbcabadacbbbcdbdacadccadcdacbcdbacbaadacaaa
+bcdacdbbbbcdabbadabcaacbbdcddabcbdadcadadacddacdccdadbdabbdcacbcccdabdcbcbbaaabadaa
+acbaddacadcaaadcaabcaabdacbcabdaddbccbdaabdbbabccdbdbdcbacbdbacadbdbbcaacdaddddcadbabacc
+dddbbccacacaaacdddbddccdddbdabccdcaaaddcabbbcbbaabaaadcbadddbcdddbaaccbcabc
+dbaacbadbabbaccdbddbcaaaabacbacaaadccdccabaaabccabbb
+cccbccbbbcbccaaddddabadcadcddbbabcacadacbbdbccdbddadcbdddcdbdadadabccbcdacbb
+dcdabccccadccacaaacdbcdaaaabddcbcbdbdbadbbaadbadadbacdcdabdabcaabacbababcc
+babbddadddbadcbacabadccbadcdbadcacbbdabccaac
+acbdadccaddadddcbcddbaabcccdcdcaccbacbccbbabddccaa
+dcabcacadcacbdd
+abccadbdccacbdcbabc
+acbcaddacccabbcccbbccbddbdadbcbbbc
+caccdabbddbbdbccabdccccaaacddbc
+abcdcddaddadbadbacabbbcbbcbccacabdbbcadaaccdbccaabdbaccaaaccccd
+caddabcacdcbccccadbcdcbcbacbcbbdbcbbdacabcdbbbbddac
+dabbcacbabbcdacddcaccddcdbbdcabc
+bcaacaadcbcbbaacccbadabcbdccccdbbaaadcabdcdcbbadccadaacbcacbbdbaddacacacbdc
+babccdbbabdacaacadbbdcddbddbdadccacdabbdbbcccbbaa
+cbaaaaababdacadcbbabccacaddacbdaadbdaacd
+cdcdddcbbadcacaaadbdcbcabcaccdadbccbd
+accbccccbdbaadaadcaddbacccbccbcbadaacccd
+cdbdabdddaacdaccbccaacaddcbaacadaccaadacbbddabcdbbbbdacbda
+caaabbcaacaabbccdabbdadadcbdcca
+acaacbdadcbbadbadcacacaaaddbabbddccabacaaddbbdbbcdbbcdbbbdabaadbbcddcdccbbadacb
+dadcccccacdccdacccdccacbcccdbbbcbcdabc
+cbddcacacccbbbdbcadcabadcaaabcdcadcbbbabbaac
+caabdcbcacdbdcacbacdabdabdcdbcdbdcdadddacbaaddcdaabcbdaadcbbadda
+baabcadcbcddbccdcccdbbadaacaccababaadbaabaddcbddbdadabacababdacbbcaadabddddbacdbcccaaca
+cdaacabcbbdaadadbcdcbaaaabcdbbdccbbabbbdccccabbbccabbcbdbbdcdbbb
+dcacaaaacbbcaababcadaccadccddbaacadbdbacddcadaccdaccbbcccdcaadbabdcbbacaddcdc
+dcbbadbaabbaacadcacccccbcbadbccddcadbabacdacadbccaddbdcbbcc
+babcbabddbdbcbbabbacbaaccddbbbbacbbdbbcabbcdddaaddabdbdabbbbbdaaaaaccbbcdbdca
+bdcccdddaacdacddaaadbbdbabcdcbdadcccbbddbccaccdacdbabbacdbbbbacccbdddcaa
+ccabdadbccdcdcacadbdadcadabdddaaccbcdacaddcdbcdadcacddccaddacaacccdbbdbdcbaddbaadadabbbbb
+badababdbadccccddadabdbabaccdaadaaaba
+cbadbbabdcdcdcaadcdbcbdacdabdaabbccddadbddcaaaddacabccbbbdbcbcbabaccadcdacdcacacbadbaa
+dbabacadcddacddccababdbabbdcbd
+caddbbbdcccdacabbbdabaaddbaabcdab
+ddaabaacccbdcaaabadacddbccdbddbcacbadbcccbddbbdbccaddcccacbabadcbcabcaadcabbbbcdbbcdbdacbdcb
+bbbabcaacddccbdddbccabaaacaabbbdcddcccbadbdaabcacabccc
+cdcabcadcbbddbbacbcacaddacaaacccacaaacbdaaaaccb
+abccbcbaccbddcdadabddccbdcabadcbcaacacdbdaddcdbacaaaccdacbdddcaaccadac
+baccabdcbbaabbddbcaacabbbbbbadbdaaaabaddaddbbacbaadcdcbbadbccacdacbdbccdbddcadbacacaaccc
+caababbbaddacacdcdcacbdcbddabbcbbaadbabdcbacabccdadcbd
+ddbcadcbbddbdabcbaaadacbaabccbdbdaccabccbacbaccccddddbcaac
+bcbacababcccaddcdddcaabddbcdbdddccabaadbadcdacccccbbaa
+badcdbdbdbcadbadaaccca
+dcdabadbbbaaaccbcdccddbcbbbdccdadccdabdabcbcdcbcabcdbabcdccbbcdcddcbbabbdbccddacdadddb
+abbcdabccbdadbdababcdbcbaccbacddccabadacbacadabababaaaacdddcbdcbcabbdacaadddaadababdd
+dbabdbdbddacdbdcabbcdcadcacccdaaccababdcbabadaccdabaadbbadcdbaada
+ddbadbbcaacdccbbbccdacadbbacaddbdbdcdaddaddadbdbdddcabbccdbdddcda
+bdcccddabbaddaaacbcddcbcdadacbccbccbbbbabdbdbcdcacddadcdadacdaadbdacaac
+dbaccbaabacbdbaacbdadaacdabddcacdaccccdaacdcbdcbbddabcbcbbbcdbdadbccdccadcdddddcd
+abacbcdaccadccddbbcaabcbdacda
+cdccbbcabbddabccbdbbcbbabacabbcacaabdbacbcbdaacadadbdbbacaaa
+bdbacdbddabcaaabdddcbbcddaadaadccaabbababddcdcaddbbacdadddcbcbcbbcccdbdddaadbcbdcdbdccc
+ccbbaaabbdcaddbbccaaaadaddbadacababbddcdcbcacddccbccccdddbabddddcb
+bbdcacadddddbbdbdaabdacacadbbcccd
+dbdcbacdcddadcbaaa
+aadddddbabbbcadbbbcdddbdddadabcdaaddcabaadbddcdabbbaaccddaaacdcccabdcaccbccddbcbbcaab
+cbddcaaaaacbadbbcadddddbcabcbdddbdbdaccddcdaabbaaddadaaddaaacdbcd
+dcacacccddcbbadcababddccbbbbdddccaabcaadaadcdbbbabcbadcdcdacbcbccbaadbddbdacddbacabddcbdbbaac
+dbdbdabcbabadcabcbccadadcccbdaaaddcacccadbbbbacacbbbccbabadbccbddcbcdccdadabadbbbd
+acaacbdcacdddcdcbad
+dcbccabaaaccdddcbacddaddadbdbcaacaabaaaccddadbcaabddbabbbcaadbabadbbdcaabdd
+cacdbbcccbbbccaccdadacdbadccaabdcdbdad
+adbadccddbcdbbadadbaacbacdcaddbbcbacbdbbcadacdcbbdcbacaccdddddcccdbabaababaaa
+dbcdcdcbdbbacaccbaddbbbadcdabadbcbcbdbccccbbdddaacacdbbcaaacdbdbcbbbabdacbbbadbdaacbbcddaccabcda
+dabcaddaccbabcdabaacaabcaabbadbdaaacadbdccacacdbabadbacbbbddaaadbbaaacaddabddcbbdbccaaa
+caacadabbadcbbcbcbbbbcabaccdcca
+adbbcdacdbcadcddbaacbcdbccadcbcacdbcdacdcacabdcbcdabdacadbbddcbddc
+aacddaddaabcbcdcdbbaadbcddacbadcbadcbcaa
+ccacccbdcabdbaabcdacdadababcabaacdaabaabbdccbaccddaddb
+cbcdcddcabccbbdbacddabacaacdcdabbccbcbaadaddbbbddbdbacdbccccbddabddbaddcbca
+ddabbcabbbdaddcaddacbddaddcabababdbddcbacbdabddcbdabbcccddcdbccdbdcbcbbccdbcadaadadab
+bdbdddadbcbacdabdbbadcddcdbbdcbcdcdcddbbcadad
+bccccaddddaacabdbabacadbabcdcbcbbcbdcccdadabdcaaadddcaacaaaccbcdcacbadabbddaadbadbcbbdaabacdbdbdacdbcbd
+abdabcbaadabcadbabcaaadabdaacbadddbddacdaddbbbdacacbdccdaabdcccaccba
+cbbdccacbcbddcdaabdbcadbdcabcbdbcacccd
+abadccbcbbdcdccbdcadbdbdaddabdcaaaaacaccabda
+accdcadbdadacdcdd
+ccbacabadbaddaaadadabbabbcddbdadaaaacbbbbdaaacbbcbdaacaabac
+aaddaddbacbddadbdcdddadadbadbdabbbccabbddacccdddccacdabdbcd
+adcddcbcbabbbcbadabadaaaddd
+bcbbcdbcbabaaaadbadaacbcccdbacadddbbdabacdbaaadbbdbccdbcddcbdcddcdadcbdcadbaacbddaaabbbcbdcadc
+aaaacabbcddbcdcaccbdabdaadaabbaccbacdbdcabaaadcdcadabbaddbcadcccbdbacbbbddbdaaccabcdabaaaccabaddcab
+cbcbaadcacaddcccbbadbbdacbaabaaaabbddbdbdddcbcadabbcccadbabbaacacdacdbbcbbcabbbcdbdcdbcbddbbddbbddbdaad
+babbaababbbcbcbbadcbbbabdadbdacdbaddcacbbaddadaacdb
+cdbdabdaddbaadbaacaababdcbbdadaaadcddaadddddacbadbbbbdbcdab
+aaadaaabacdbbdcaa
+bdcaddabccaacccbdccabcbdbbdaabcbcb
+bddbdbbaacdcdcadbaadaddccbbccddccdbaaccdddcaccaadadabaacdacdacbbcbdcbb
+accababbbabad
+bdcaaaddaccaaaaadaddabcccacddbbddacdbcdbdcdddbcaabbbcdccdacaddcdbddcabb
+bbddbcbabdcdcbddcbdcadcaacbaadccddbbd
+dddcdcbbdcbd
+cbaacbbbdaababcccabbcdbcdbadaccdccddccaabbacccbabbadaaacbbcccabadaabdabcdcdcbdbbbdbbacacbcacca
+addddacabdcccabdbbbacabdabaddabcbcbcaab
+acddbddccddadaababddaabbbcdcdcabbaccbdcadbdb
+bbdcadaaadbbdddbaacaddccbb
+bbadbbacdabbddbacbbdaaab
+bcaaabbacaadcbccabacdbdbcdaaab
+dccdadbcacbcaccddddddcdbdcdcbadbdbdadaaabccdbbdddbcdbbbcbadaaccadacabcaadacdaccdcaddad
+cdcdccaacdabccbabaabdadcbadacaacadaaddcbdcdbdbaaddbccdbcbaadcdacabcaaadbdcbdaaadabbabadcdcbddcacbcaacd
+cbdcaddddaaabdbdcddc
+bbdbabddaaddbcdabccabcbdcbdcdbabaadadaacccdbcbbacbdcdabcdcadaacabbdcb
+abcacccadabbddabbacdcbcbcbdbbcbcbbcddbcadccdcaabdbcbcbabccbbdcabbbcaaabddbbcdcc
+cbccbcabacacccbdaaddaddb
+dacacbccdccddaddaababcaadbadaadbbbddddaaabdbaddababdcccbacccbccacadaabcacbaccbbbbdaacbaddaa
+dbbabcddddcabbabc
+adabcbdadbdcdadddbcadaaaacdadcbbaccdcdbcdcdbabcaddcdadbdbbcbbcacdbbccbbaabb
+cbccaacdacdbcdddccbbddccaaadddcaaacabcdccacaaaadabbabb
+caaddddabbdbbcaaaddaddccaaaabcaadbbaaacaaddbcbdcdddaaadcbbdcaabbbacdabcdbbaccbbabdcadbbcbdabbbbdccbdbcc
+bbdacdbbabbdadbcabacaaabbbaabdacddbbabadddccabbdccdcadccbbccbdddabbdaccaaacdaadab
+abaabdcbababbaddcacbcdbadababacbbdabbdbcbbadaddacaccdaacaabbdaacacbacdcddcaddacbdcbccbaddc
+daacaacbcaacdbcccabccdcaaaadcdbcdddadcadcababcbadaabdaacababbacacaddaaadaaabddbaccbdddaaaabbcbbbcddcaaaacbdda
+cbbabcbdcdabcbcdabacddddcaadbcdcbcadacdadaddcacbadccacdccbcdacbacc
+abbbaccbdacacacaabcdadddbcbdddabbbb
+dcdacdbcdbcaaababaacacdccabadbadcddabacbcaccdbdadcaab
+dcdbdabdccbbbabdabcbcbccacbdaaaccdcacdddddadbcbaccbcbdaccbcaaccadbbdcadcbabbdbaabbdcbcbdabdbbddbaba
+adcdbcbcddaacccbddcbdccabbcababcabcbddbcccdadadacaddcddbbbcdabdbacabdccdcdcabcadbacddadaacaaaabdbbddacdacaacb
+bdadabccadabbddbddccccaabbcbaabbddddbaccbcaabadddccaabb
+bdcacccdbdbabcbcdbdbdcdbdbd
+ccacdcbaaabdadbbacccbdabbdaacbdddcadababcabdcadadaacd
+acbddaaacdaccadcdaadbb
+babbabadaaccdbbbdacbdbbcdbbbbbbcaabcbaaddcaaabdcacdbbbabdccaaccccddcbcddbbbabbacacbcadcdab
+cdccaccdaddaaacaddbcababcabcabdacaabdcdbcb
+ddddadadbcbbddccbbacddacdadbcbcddacdadbdda
+cdcddbcbbccaabddacbbcaabddddbaabdadacabaacdcdbadcbabaabdcabadbaadadcbdacacaababdcdbcbabab
+caccbaadaccacbadbcdaaadcdccaadccbbcacccaddacbd
+aaccbbbadbbddbdcbcccbbcadcabbcccacbccaddbacbdbdabdadbdcadbdcaddbaadbbdcccbbdddadaabadadcccabacabbcbbcbcccabbc
+bbbccdcacadbbaaaadd
+baadbdddacdbaccadbcbccbcacdba
+caacdaccdcacdbadcccdddbaacddccdabbbccdcabccdcbcbbcbddaacdcdbcdadacbbaaaaaadbcdabbbadddcbdacacbddcabdaa
+bbdabcdaabdcdbbccbbddbadddbbcabbbaaccbdcdaabbbdcabdbdaddacbacbcaaddcdacdcdcca
+bbabcdbddbbabacdbcacabccccccbbccad
+ccddbdbaadcbcbbcbdbaaccbadbccabdbacdadcaacadbcbbdaadcdccba
+dccddabcacadabbccadcaccbdaaacdaccdabddbc
+dcbdddaacacbcdcccbabcdcbbcdcabccaadcabcdbaaccddcabdddcdcdadbcdbbabbdccbbdadacabbcbcd
+ddbbcadbabbaccaaaccbdcccdddaabaddbcacbaacababbcbcacabdadbbbbbccacbbcbbbbaacdadadbdccabbcddbcad
+dcbcbbabbbacdabccacbaccaaaabcdcbbabcbacdbddcabaaaaaccdccdddddbdcddbacabcaddccabadabdcaddccbbaabcddaaabaaadbb
+bdcaacabcdcbbba
+ddadcdbbccadcbddaabccdbbaddcddcdcadabcacdcccbbcadbcadaddcdaaabacbbdbbacbbabcbcdbcbddbcadaaccabcabdbcacdbc
+daacaacacccbddbdcccbbcdadbbababcdcbaccdcbcdccaccbadcabcccdba
+abacdbcbddbdaddbbadcbcacdabccccacdaabadbadcdaccbddccacbbdcdcdccabccdbbdcaadaadbabbdba
+baabdbadcdddabbabdcdabdbdbacadbcacddddcdbbaacacabbcdaa
+cbabbcbdcaab
+dbbabcadaabddaabaddbbcbaadaaadbadacccacdcbabccdbaadaabcabaacdbcdddbcabbccac
+bdaddabbcdcabaabbbccdacbbbdcacbaacbcabbdccaacbacabdbabdcaaacdbcababadbdccbbdbdbcdbbcdbcadccbb
+acbdacddccdcdadbdbaacab
+babbcbbadbabdbbaabcdbbcabbabdcccbdbacbbbcbbacdcadddbbdcdbadcbdbacdacdbabada
+bddaccacdcbbddcbabcaabbdaaaaaddddadddcccd
+abccdacaadccacdcabcdacbaadcbcddbcdbbdacbcddcdbcddbbcccabbdab
+bbdbadbbddacbcbdbbadacbdbbbdbabccbadabccadcd
+abaadaabbdbcadaabdb
+bcadabbccaaaabbacccbbabbabaacccccccaacbbcdccdaaacdacabbacbdbcbbcbcccdccdbaacacc
+cacaacdbaddcdddaccbcabbdabddcddabbbbbabababdbddbdcadaddabacadbababcbcdaaccd
+dcbcdaddcbaccccdddcccbcaadccdacacbcbdbcacdcdadaabbbdbdadbbdbbbbadaccbddbcaadacbcddbaddbbcbbdcbaadbdacccbacc
+abcaacacdbaaadaadbcabdbdccadbcbcbcadbbdcacaacddbdacbbdadadcdac
+daadacddcdbcaabcbbddacbdbacacddbadccbadcbadc
+abccbcaabdbbaddcbcbdbdbbcbabdabccddddddcbcaaccabadccdacadccbdacdaacaaababbbdbdbddaaaacdabcacabccacdbbadbd
+dbbcadabadcaacdbcbb
+bbdccbacdcababaaccdacbaacddbcdbdbbdddcccddaabcddddccad
+bcdbcdcabaaaccdcbbbbdbcdbaac
+aaaddcdcdbbbdcdcbacccccbdbbaadacdddaadaccc
+abaabcdacdccaaddcdaccdbabddcddddadbacddbcabcdcaaabaacaacaaacdacbbbdcdcaddcbbbccbacabc
+bbadccadbabcaaabaaaccacaccbdccadbdbdbacbcaabddcacbacccdcdacdddbcb
+cacbdaccbaaacdaccbbbab
+acccbdccbbbabdcbaadccaccccdbaadacbdaabcabaacabdaacabbdcabbabaddadacaddbdccadccadbabdbbb
+abccdbcccbabaddcccccddababbabcaddacbbbbcdaddddaabcddccddddcaadbbccb
+289 31
+abacacabbbccacaaabbbcaaabcbcbccccb
+acaaabaaaacabcacababcaccbbcccbbcbaabcabaabaccabaaaacbccaabccaccbbabcacacbaaaccaccbcaaaaabcacbaacccaaccc
+acaabbaccaabbbbaaccaabbbbaaaccccabccacccccccbacbbacabccacabcbaaacbcacaaccbccb
+bbaacbcbbabaacbacabcbbbacbabbaabcabbaccababcaccabacccabbcb
+cccbcacacccaaa
+abcaaacbaababaaabaaacbcbaabbcbcabcccbbacbcbccaaaacbaaacacabbbcacabbbaacbbacacabccaabbcbbc
+ccaaabcbcabccccbcbcbcbbcccbabcaacabcabbabcb
+bbbcbaacbbcbcabbcbcaccccbcbaccacbccbccccabbcbccccccacaabcbcbbbcababcbcaacacbaaccbaabaccabbbaabccbabacaabcacc
+acbbaabcacbabbcababaaccbbacc
+caacccbcccbaa
+bccaababbccacbbaccaaccabbbcccccabccaccaaccbaaacacbcbbcbcc
+abcaccacbbbcabaabbabaaaacccbbacbaca
+bbcbaacacccaacaaabcccbabccbbcbbcabbcaccccabbcbaabbb
+bcabbbccacbacbbbcacbbababcaacbcabccbaccabacbaccccbbaaaabbbacaccacbcbcbcb
+acbbbbcbcbbccccacbcccbaacacbc
+abcbccbabaaacaabccabbcbcbaaacccbbcbbabcccbaccbcaacbacacccbbccbaabaabc
+cbcbbaaacbbcbbbcbbabaaaacccacacbabaaaaabcbccaacbacacbcccbabcabbacaaaaacabbbacabaccccbac
+aaccbacaaaaabbbccccaacbbccbbbccccacccbcabbacacaacbcabaabcaacbcbaaccbaccaacbbbababacbcaccaababcbcac
+cacbcbacacb
+ccabaabcbbbcbcaccbaaccbcccaaaaabaaccbcbacbbcbbcaaacaababbbccbbcaacbbabcccabbccabaccccaccacbbbacaa
+bbcabbabbaaacbcbbaabbaaaaabbcbcaccbccbcbabccbbabaccbbcccabcbaaccccccaaaccaaababbcbabaabbcbcb
+bccaccbbbcbaaabbbacccbabccccabbcbaaacccbccbaacbacbcbabacaabccccbcbabaacaaaacacaab
+baaababbaacbcabbbabcacacbabcaaccbabbacbbaabbacaabbbbacccabaabbcaaabcccccbaaacccbacbbaaaccbcaabbaaacabc
+bacacbbccbbaabbabcabaacbababbbcabbcccacabbaabcaaabccbcbccaaabbbacbccabaccbb
+ababaabcaaacccbbabbcacbbabccabcababacaccbcbbbccbaaaccbabbbaaccabbbbbcaccaaabaccacc
+bcacbbaacbcbbbbcbbbcbcbbaccbbaabcbbcabcbcbabcbcbbbccabccccbabccabaabcb
+baacbcbbaccaaabcbaabaaaccc
+aacacbcacaaaabbbaaaababba
+bacbcbcbaccaacabababacbacabaacbaabaccbababcabacca
+baccbbbbacaabcacaccbccbbaacbcbabbcbbbbcaccaababaaccaaaaaabcbbccbcbbbb
+aabaccaaaacbbcbccbbabbbccacbabccababbababacaaabacba
+aabcabaaabcacbcbcbca
+cabbcaaacbaacbacaabbabcabbcaccabbcccbccbaacaaaabca
+babaccbcacaccaccbbacbacbbbbb
+caccbaacccbacacbcb
+cababaaabccaaacaacbaacccaacbbccacbacbbaabbccaaacaabccbacbacacababccaabbbbccca
+abbcaaaabcbacabbbbcaaabbbbcacbaaacaacabcaaaababccbcbbccbacbaccbcabbabcaacaaaabacababaccabcaabaaacacbabcacaba
+aacbacaabccabaccabbcbbbaaabbaabccacabacccbaabbacbabacccaacccbacbcbcbcabb
+aabaaacbabacaabaababaabcbcbaacbbacbbaacaacaaabaccaacacabaaccbcaacabccbcbbabbbccbbaaaabaaabbbbbababcccb
+ccaaaabcbbacccbaccaaaacbabccaacbcccbbcaabcbaccba
+abcccbabccbacbcbaca
+baaabcbacabbcbaacbaaabbaacbabccbbbbaabcccccccbcccbabccca
+bbbcaabbccbacabcba
+abaaccccccabbcaaacbabaaabcbbaaccaabaabbcababacaacaacbcccab
+babbbacccbaaaccacccaabbaabacbccbacacbbbacb
+bbabcabacccacabbbbbcbacbccabbaabbbcaacababcbbbbbaabbbcabbbccabcaacbbacccaaaccbaccbcbcaccbcbabcb
+accbbaccacbabacaaccacabcacbcaabacbbcacaaaccabcaaabbcbabcbcaba
+caacacccabaccbbbbacbacccbccabaccaacaaaaacbcaabacbccabbbcacabbbaabcaacccbacaaccccbcaaacbcabcbccbbacabbba
+accbababbbbbacbbabbabbcbcacccbbaaaaababcaababcccbcccbbabcbccbacabcbaccbaabcaababbbbaccab
+aaacbcaaaccbaabbaabcbbacccacaaccaabcccacbcbabb
+bcbabbaaacaabbacaacbacccbccabbcbaacbacabaacacbbccabbacbabcccabbaabccbcacbbababaaababbacaacca
+abcbababacbcabcbabaababbcbbcbcbcbaaacabbabbbccabcabcbaabbcbaabbaaaccbcbcacababcacaacbbc
+cccaaacabbcccaabbccabacbabcb
+bcacabaaaca
+bcbbbacacbccbcbbcabacbccbbcabcbbbacaababbbccabb
+bacbbbbbbaacccabbbaccbbcaccabbabbcaacbbccbcbaccabcccba
+babbacaaabacbaacbbaaaaabbcabcbcbccbbacaacbbbccbcbcacbbbaaccbcccacccaaabbaabcbbaabcbcccccbbcbabccbc
+bababcaacc
+ccacbacbcabaabcbacacacbcacbccaaabbabaabacbcbbacbbbbcbbcbacbacaaabcbbbaccbcb
+cacbcabbcccbccbaacacbaaacbcbc
+ccaabacbaabbaabbcacacbccbbcbccbacbcaccccacbaccbabaccabcbbcabaccaac
+bbacbbbaacbccbcbccbacccbcccbbbbcaaaaababbbacbbcbcbbaabababcacbbcaaccacacaccacb
+ccaacaccbabbbab
+ccaccaaacbaabccaaccabccbbabaaaacacaacababcbcacbacbaacaaabccccbccbbcaabbaacbaccbcbbaabcbcaccccccbacbacaccb
+bbcbbacbbcbbc
+bbcaaaababcc
+bcacbbacbacccbcbccbcbbcbbcacabbbcabaccaaabbbaacbbcbcacbccabcbcacbaacbbaaac
+bcccbcabcccbcbacaaccbcabaabbbbcabccccabccaabaccaaaacccbaaacccaabacabbbbcbcbbaacbcaac
+bcbbcbccbcccaaacaaccacccbaacaccaccbaccbcbcacabbbacaacbabcaacbbabbbbcababbabbcbcaccccbacbacbcbbb
+aabbabbaccabccabaacbcccbbbabacbaaabbbcabacbbaacbbbaabccbaaccbcbbabaaaabbcbbaabbabbccabbaaaccabcbb
+aababbcccccbaccacaacbbacbbcccbbaccabacaaabbcbabcccababcaabcabaababbaccabaabcababcbccabbbbbccc
+bacbabcbabbbabcaabcbcccabcbbabaaacabaccacaacabcacbaac
+cabbaccbacbbaacaaaaccacbcbaaabaaababaaa
+abbbbcbbabacbbcaaaccbabcaacbbcbbacacababcabbcacaccaacbbca
+cccacaabababbcaaaacbacacaaaccabbcaacbaccabcbaaacabaabacbcaabcccbcabbbabcabbacbaaccc
+cccaabbacbcaabccabbacccacbcbccbcacaaccccccaaab
+bacabbccbcbaaccabccacabacabaacacacaaaccbcaaaacabbabaaccacabababacbabbabcacbcacbbbbbabb
+bbbabbcaccaaabcbcacacaacbccababacc
+cbcbabbccacbccbbabbaaaaaaacbabcbacbaccbababcbacbbabaa
+abcbaaaaabacaacacbabcabccacbcba
+abcbccacbaabaabbaacabccaacabaacabbbbcbaabbaccabaabbccaaabbacbccacabbbaaacaabacccabccabbacbbbcbcbcbababccaacbb
+abacacabcabaaab
+abacacacbaaabaacacabaccabcbbabaabbbacaaccccaacaabaabbb
+abaacbcbaacaacabbcacbbcaccacccaacaacbacbbcaaaaaa
+cabaaacabbccbbccaabbbbaaabcccacbcbcbabcbcbaacba
+acbcbbccbabacccbcaab
+bbaaabacaacacabaabcbacbcacaababbacbbbcaccbbccbabacabccccabcbcbbbcabbb
+aacccbbaaac
+caaccccaabacbabcaaaaccccbacbbbbbbcccbaacbcbbcacbabcaacbbacbbbaaacaacbabcaccabbcbababbcbccbcccbba
+cbbcabbcbbbaaababacbcccbcacccbaccaacacaccaabacbaabaacccaaacbbaabc
+abaaccabcbabbcbcbccaababbbcbcacbbcccbaaaccbacbbccbcbcacb
+caaaaaacbcacacccabccbaaacccaacbbbaaccacbbabcabcacccababcbbbbacaaccbbbccbaccbacbcbbcbaaacacbbbbbbbbccaaaca
+bcacacabccaabccabacaaccbbbacbccacccabbbcacacaabcbbc
+bbcaaccaccbccbcaabbabcaccacca
+cacbcacaccccbbab
+cccabbaabaacabbcacbcabbaabcaabbbbcbaabacbcbaccaabbccabbbc
+acbbaacbacaccbbbacbccbcccbbacacaacaacabaaccaaaabbacbccabcabacbabacacbcabbccbbcb
+ccbcacacccbbabcacbaa
+abcccaabaaaccccaaacbbcacaacacbbbccaac
+baaaabbcacaabcbbcacbbbaabaacacabcbcbbaabbaaabbbacabbacbabbabbbaababbbbacbbba
+bbabcaaaccabbcccaacbcacbbbabbaacbbbbaaaccbabccbabaabccbccc
+cabcabbbcccbababccbcbbabbccbabbbacaacbaababbbbbbacbcccaacabcaccabcaabacbacbcabbcaaccbabcbbccc
+baaccaacbcbbacccbbacaaccccabcbcaccbbbcabaccbacabbbbbcaabbbaccbaaccbcbcaacaccacaccbbcbaaabbcacaaccbaaacbbbacb
+aacbcacbcbabac
+baacacbaabbbabcaaaccbaaabcbacabaacccacaacbcaaacbaabbbaaaccbcbabbcababccbbabccacbcaacabcbcb
+ccbcaabcbabbcbccbbaacaacabaccbaabaccacbabcbaccabcacbbcbbcaaabababb
+cbaaacbaaccaacacccacaccaaaccaabbcaaaabaccbaabcbaccbacbcabcacbcbacbaabcbcbbbaabcbcbccbcbbbcbb
+baababccabbcccbbababccabcabbaacbbabbacbbbabcbaabcabcacbaaaaaaaabaccababababcbcabca
+aaaaacbcbcbbabaabbabbccacbbaaaacccc
+aacabbaabbbccabbcbaccabcaabcacacaccbcbcccaaabbcbabbcbca
+cbaabbaabcbcb
+acaccacccb
+abbcbaabccbbbcaccaaabbbabaabbaabcbbacbaabccbacbcaccbaaccaababccaccabcbacbacbaccbcacbcaacbaabc
+bcbbbcbcaccabcbccaacbbacccbbacaaabbaaaababacbacbcaaabaacacbbbacbcaaaccacbcccbbbbbc
+baabcccacbbcaaacaca
+abbcaccabcc
+cbacbcbccbcbbbbbbabbcabaaabacbabbaccabaccbaabbcbcabbacbaaccbcabaaaccaacbacaccbcbbcbcaacbcaacabc
+accacbacabaacaabaabacb
+bcacbabaabccabb
+acacccaacaababacccbcccabccbbacbcbbcbcabbcaaaaabcbabcbbacbcabaccccbbcabcbabaaba
+ccbcbbbabcacbcaaaaab
+abbcbaccccccbcbbb
+bbaaccbccccbcbbacbbaabaaabbbaccbacabcccccccbcacaacbbccbcabcabaacabccbabbbaabbabbbaccacaacbcaccaaa
+aacabccaaacccbcabbacacabbcbacbbbbcbaacbbacccbaaaaccbcacbaaaccbaacbbabaabbabbbccaaaababacacaacccccaacbcaab
+abbaabbbaacbcbabcbacacaacbbbbcaaacbab
+cbcbababbaccbaacbacbcbbacbcbabacaccabbbbbbcbcbaaaaabaabccca
+abbcbcabaabbcbaabcc
+aaabbcccabbabaccbaaaababbbabbccbacacbbbccaaabbbabacbcbbc
+ccbacbaaaccbcacaacaacccccccba
+baaabacabccbaacbcbbaacaaccccbcbccbbcacbbbcab
+bcbcaaacaabbcaacabbccaaccabaaabacbccbbccbaabbccaac
+accbbbcaccabbcaabbaaabacaccccccbaabcbaaacbacbaabaabccabcacabbcabbaacbaccccbbbbbc
+caccacbabbacacabaabcccbbcabcaaacaccbbabaaabcaabbbbaaaaabbaabcacabcbcccbbaaccaabbbcabacacbbcaaa
+cbacabcbaaaaaababcabccbcaaccaaabbaacacbbbabccbcabbaababaccabbaabacbccbaabacabbbbcbbaacbacbbabbbcacbababacb
+caabaccacbcacbcabacbcabcacbcaabbaaacccabacbcbabccaabcabcaabccbacbacbaccacbbcacbabcabbbcacccbabcccabaaabbaa
+caabccbabccccbabccbcbccacbbcabbaabacabcccccaabcbababbbabb
+aaababaacbcabccabbccbbbbccaccbacaabbcbcacbcaccbababbbabbbaacacbbcacabbbbbabbababccabcaabbbbbbbbcacbcbcb
+ccbcccaaab
+caabccbbbccacacbccbcaa
+caaaccbbbbabccbaababaabaabcacbbbabcccbbbbbcbcabaabaabbacccccaaa
+acccbbabbabcbc
+bcbacaccabaab
+aaacbbabaccaababbabacbcccaccabbbaabbcbcbcccacaaababaaaabcabccbccccbabacaaabcbcaacbccbaaaaabacccacb
+cbabacbabacbcbcbbcbcabbbabbabaaaababbabbabaacbcacbbccccaabcbbcac
+ababbbcbcbaababaccccbacccccbbbcbbbaacaaccaababbbbacbbbacaaabaaacbaabcaccbcabababbbbbcccccbaacccaccccccc
+ccbacbbaaacbaaaacbcbabbbabbaaacaaccabbbcaaacabaabcbacabacbcbcbbcbccabcabbcbbabbaaccaabacccabbbabccaaacbbbac
+abbacbcabbabcabbbcbccabbcbbacbabccccbbccaaabbaabaacacabbaacaabacccbacccabacbbccacbcacc
+cbcaaccccbabbcababbccabacaabaccabababbaaaaccccacaacaccbbccacbbacbbaabccacabcbcbacbbaccaaabcbccc
+abcbcaabbbabcacaccaabacacaaacbca
+accbbbabccbbcbbabcacbabaabcbab
+abbccbbbcaacaabbb
+baababcabbbabccccbbbcbcbccaabbbaccbabcaacbbccabcaacabbaabccbbaabcabbcccbcabccabbbabbcccbcccbb
+cbbaacaabccabaabcabbbcabbcaccaaccacbaabccabbbabbcbbaaab
+bcaacabbccacb
+cabaabccabbcababbcaabbaacbacaacacccaababbaccbababcacabcaabaacbcaabb
+cbaacbacbbbbcbcaabaccacccbbcbcbcbbcbabbcbbbcacb
+aaccabacccbabbcaabcbbcbbbabbcbbcbabcabbcbacccbacbbabcbaababbcccbbaababaabccbbacbbbabcbccaa
+bacabaaacaacaaabccbabcabbcabaacacbacacbbcaacacaabbbcacbbacbabbabcbaaaaacbbabaacbcccb
+cbabcaaacbbaacabbcbabcbccbabbacbbcbbcabbcacbcccbbcaaacab
+cbcccbacabbcbbaaacbbcaabccbcccbaacaccaaccbbcbcbccaacbabcabaccacc
+aacbaaabcacbaabbccbbaacacb
+bccabacaaacccbbbccccabbbaacacccbabcbcccaaacabccabbcccababbccacabccbbbcaacbccabbbbabaaaabacbbabcbacbab
+cccaacbcaaaabbcaaacaabaaacbcaabcaccbcaccaaabbcccccbaabcbaabbcbcabcacbbbcabccaabb
+aabcaccaabaa
+cbaccbcbcabccbbcaccaabbbcbaabbbababbccabccaacabbabbbcac
+aabcbaaaababaabab
+aabbcabaacbabcaaacabccbcaccacbacacaaacacbabacbaacaacbbcccbcbcbcacbbbacbbbbbaacaacac
+bcacbbbaabcabaaccaacacabaaccbbbacbbccbabcccbabbaacc
+babcbcaaabaaccbcacacabcaaabaacaaaaaaccbbbabcbaaacabbabaaaccccaabbaacba
+cccbbabccbabbcaaccaaccccbaacbcacbbcaaacbacbcccbcbcacccaaccaacaabcb
+cacabbccacabacbcbbacaccbb
+bbbaccabbbbbbbcbbaccbccacbabbc
+bacbbccccacbaabbccbcbbbcccbcbacbcacbcccbcccbbbacbaabca
+abccbbbcbcacbcbbaccccbabaca
+bbbcabcbccaccabbaaacbcbcccccaaaaabcabacbcabaacaabbcbacccacbccbbcbabbb
+bbaccccaabbaba
+cbacaccbccabacbacacabcacacbbacccbbbbccbbcaabbbbbcbbabcccacbaacaababacbc
+cbcbcbaabbabcaacc
+bcbccacbccaccbcacbbcaaccabaacacbcaabbaccbbabaccbbabcacbbcbbaaacacbcbbbbcccbacbbcbaaccacbccbcba
+bcbbcabbaacccacccbbccccbaabaaababbabbcccbccacaccaaabaacaaaacccaacbacbbabbbbab
+abbcaaaaacbaaabaabacabaaaacabcacacbaccacaacacbccaccacabcbccabccaaaaacaccabcacbcbb
+abaabcacaaccaccccacbbbcacbbbaccc
+ccbcbcbcbaaccababacbacaccbbbcaccaccccaccacaabbababaccacaaaccbbacaacccbbbbacca
+caccabcbbacccbacabcaacaabacacaccbbbaaccacacbbacbbbabbbcabbabaaacbccacabbbcacc
+aaccaaaabbabaabcbbbbcbbbcbabcaaccccccbcbcbbbaccaaaaacaabccccbbcca
+ccbcaababcabaacbabbbcccabcacbcabcabbcbbbcbaaccccbaaacbcbcaabaaabababcabacccacbacccabccacb
+aacbbacabbcbbacbcaacbbabaabbcccabcabbbcbaccbbbbc
+abccabcaacabcabbabccbbbbabacbbcacabbcccabbccacacbcacabccbabbbaacbacacbbabbbababbcbccbbbb
+abcccccccacbbbcabbcaba
+baaacaaabaacbabbcaaacaaaaaacbbccbaaaabcacbcaccccbbccbba
+babbcbbaccbccabbcabaaacaacbabaacacbbbcbbabbbbbabbccabccbbcabbaabcccaca
+aaababbbacacbaacbaaaaabbbbaaccaacaaccaa
+bbaaaabacccaacabbbabaaaccaacaaaaaabaaabcabbbacbcbacbacabaabbacababbc
+cbaabcabbbbababbabbacbabbaacbccbaccbaacbbbcabcccccacabcacabcaccaaccacaa
+abbccbbbacabbabacabbbccbbccbbcbcbaccababacaaaccccbbbcbbbcaaccaccbacacacbabccbbcbccabbaaabbb
+cabbbbacabbcccccaaccbbbbaabccbabbcccabbbbcaccbbbcaccabcbabcccababaabcabaaacbaacbabacccaaaacbccbacba
+baacaccababcabbaacbbacbbcbcaaccbacbbabcbaacabbcccbbcacccbcccccab
+cacabcababcbacbbcbcaccacccbcabccaacacacbccccccbbcaaccabcbacbccabbbbaccaaabbaacaacbbbbabcabaabbb
+abcccabbbaacbcbcbcacbabbcbccbcabacaccbcccbccababccccbcbbcbbcbc
+bbaaabccccb
+bbcbbbaabaccbbbbabbcbccaaabcccacaaacccabbbcbcbbbbaccbbcbacabbbbaacb
+acbbccaaacbccaaaaccaacbaaabcacaccacacbbacaabccaabcaaacaaacbaccbbbacccaaaababacaaaaaaccbcabaccacbcca
+abcbcabcabcaaacaaccccbcaacacccbccbaabccbbcbcbbbbbbccbcbbbbabbcabccaaacbcaccbabaabaabacca
+cacccaaccbabbccababbc
+cbabbacbabababbbbbaabcbbaaacbcaaabaacbacbbacccbacbacabacabaccaaac
+cbcabccccccbaacacbccacccbaccabccbcbcacacaabbbbccababbbbbcbc
+bcbcccaabccacaabbaacbbbcbaabcbbbbaccbbbaaccbabccbcbcacbbaaabbabcbaccbbbbabbcaaacacacababa
+aacbccababcccc
+acbacbabaacbbbbbbbbabcbbcaabbbcbcccccbccccababcacababcccbccacbabacaaaacabccbacbbc
+aaabbcabaaaaaabcaabaccccbabababacbccbbbcb
+bbabccbcccaaacabbcaaaaccabbbabbcccacbcbcacbbbcbbacbaabbbaaacbbccbabbcbcccb
+aabbcabccabcbcaaccbcccbcaccaaabaccaaaaacaac
+bbcacbcbcacbcbcbbaccbcbaaabbacbcbccbabcabbbcbbcaabcbaabcabcccabccabaacabbacaababcaaabac
+acaacbaaabbaaaacaacaaacbcccabbbbbccaacaaccaaccbbcccccabbbacabbcbabccbcbcac
+ccccacccacbbcaaaabbacbbaaabacbabbcaccaaaacb
+aacbcbaacabcbccaaabaaaaabbbabcbcccbbaabbacccccaabbbabcbaaaacbcbabcbcbccbccacbbbbacbbbbabaaccbc
+cbcccbabaaaaabbaccbbabbacbaccabaaaababc
+ccbccabcaccabcabccbaabcbbcacaacabbccbcccacbaabcbcaabbabbabcbccaacbcbcbbcabacbbaaabcbccabaacbabaaacaabcbc
+cbbaaabcacaaaccababcbcaacabbaacccccaaaccababbacbbabaccbaaaccacaaaab
+baabaaaaacaabcabaab
+aabbacaccaccbcacaaccacbccabaaaaaabaccaaaacacbabaccbccbccbbcabaaabccbbcbcaabbcbaabccccbbaacccc
+ababaabbaabacbcaaacccabcaaaabaccaaacbbacabcbcccccababcaaaabacbbcabcacacccbbbcabcbcacacaac
+acbbbaabacaabbcabbcbabcbcabaabcccaacbaacabbbabbccaaaacbbccbba
+aacbccaacbcbabbcbacacbbccccbcabcabbabcaacbbcbabcbaabcccbcaabcccabacbacbbbccabbaccaabcabbaaabaabccbcacacacbcb
+cbccacaabccacba
+caabcaccbaacabcbacbaabbccabccaaabbcccaaaacc
+aaacbabcbbaba
+bbaabccaaabaccaaabbcbabaacccacacccacaccaccccaabca
+cccabbbabcccbbbcacbaccacbbcabbaabccababbcabbbbacaacbbaccabbbbbcbacbcaacccbbaaabaacbcbacabbcbcbaccbac
+acbaababbaabcbbccbccccbaacb
+acccccacbbaabaaabbbbbaacbbcbccbbccbaccaaccaababccbaabbaaabbacbcccaaacbacbcaabcacbcbcacab
+bbbbbbcccbaaaabbabaacacabbcbccaaaabccbbcccabbcacab
+bcaaaccabaabaaabaaaaccaacbbcbcacbaaccbacbbbbabcbaabbcbabacabaabb
+bbbcabccaabaccacbaaaaacbcabbbcaabcbabc
+caaaabcbcbabaccbcacbaaaaccabcabbaaacbbcacbccbbbcbbcbbaac
+acaabbababaccaccbbccccbbbaabcabcaaaaccacbcaabcabbacbaabbcbcababbaacababbabbcbcaaababa
+bcbbacbbbccbcaacacacbcbbccbccccbcaaabcaaaaaabcbcbbccccbaacaabcbababcbcbcacbbccaaccbcccbcbaacbaccbacbcc
+cccaaccccabccabbcccaccbaac
+aabacbaacbacbbcccacc
+accbcbabbacaabcbcbbbcbabcbbcc
+cbacbbbcacbcbabcacbabbacbabbabbaabbcccacabbaccbcbcabcbcacaccabaabaaaacbbaccaacacbaabbbababbbbabbaaba
+cbcccaccaacbabbab
+ccabcbbcbccacaaacccccabcbcabacabbaaaaccacbcacbcacbaab
+bccacbababbabaacbacacbcabbbbaabaabbbacaabbbccabcaabcacccacbbabcaabacacccbaa
+cacbbbcacbaccbbcaabbabaaccabaaacabacbcabaaabcaaba
+acbccaacbaaca
+acabccbcaabcbcacacababccbcca
+cbaabcbacbbaabbacbcaabcbccacbacbaaacca
+babbaabcaaaaaabacbaacbcaacaaacbbababcababbacabacbacbcaccbcbccbbcacbbbbbabbbbaccbcabbabc
+acaabbacabcbcbabcaacbacbba
+babaabbbbcaaccbaacacacacb
+bbbacabccbbbbcccabbcaaabbbbaabbaacbcaccacbca
+caccbcbcccababaabacaabacaacabbabbacacbbbabcbbbacaaababacbbbc
+accbcbcaccabccaccccbbbabcbaaababbccabcccccbcbcbabbbcaa
+bacbaaccacccabcbc
+aabcbabbbbabbcaaacbccbaabbccaababacbacacbabbcccbabcbbaacabbaaccbbabbaa
+aabcaaaabbacbbcaacbbababbabccabccccbbaabcbcbaaabaabcbcbcbaacabbaabaacabababaababc
+abaabccbcccbcbbb
+bcabcbcbcbaccbacbacccaaccccacccccacacaabbccbabcaaabbbaaccbbbabbbabbcbbacabbcacacbabbccabbabcabbacacccabcbcc
+cbbbabbaaababbcacbacbbaacaaaaabaaab
+cbbbaabbaccaabaab
+cbbcabacabababaaccbaabcb
+ccababcaabababbabcaabbbbccbaabccbacccbca
+bbcacbcccaabcbaaaaabbabcabcaabcbbbaacbacc
+caccaaacabbacabbbacaababacbcbbcbaaacaababccacbacbabacaacbbcbbbbbbcabababcbbcabaabcccabbaaaa
+bbabcbbacbcbc
+bbbbbaaaccbacbcbcabaacaaabcaccccbabbaaaabcbbabaaaccaaaaaabaaaab
+baacabacacacccaabcccaababbbbabccacaccbaabacabcabccacacba
+cbbbababcaabababcbcaabcbacbbacbcaacbaccbcbaaccacabcbcbcccccaabaccbccbcaccacaaaaaaabbccbaca
+abbbbbbcabccbbbcacabbbcaacaaabacbabbbbcacbbacbb
+cbacabbbaabbababaabbacaaaccaabbcaacabcbcbaacababaababcbbcaabcbacacbbbcaccacaaccbbccbaabaaaabbaacacbbb
+bcababaccaacbbcbaaacabababacbbabbaabcccbcbcbcaacbacabbcbcccccbabbabaccabbbbcaabbcaaabbcbcacaabaacacb
+bcaaaccbcaacccacccacabccacbccaaacbabaabbcaacbcabcbbcbbacccabcacbccaabcbccbccabbcbacbb
+bbcbcaabccbcacbbaaaccbbbbabcccabbbaacbaaaabccccbacababacc
+ccbacaabaccbaccccbcbbcacbb
+ccbaccabcccbacaabbcbcabcccaacccaaaacabbaababcbcaccbbacbcbabaaacacbc
+babbababababbabbcbcbcbcc
+cbabbccbcbcbcbcbaacabbbabbccabbbcababcccacabcbccabbcabbabcbacaaaacccacbbbccacbbbbabcbcac
+abaaacabcbcabbbcccacaacccbbbccbcaacbcbbccbbbabbcbbcbabbabccabbacb
+cacacccbcbcababccaccacbbaacbccbacbbaccaabaaccbaabacccaaaabbbccabaccaaabcacbcbcbcaaabcccbc
+aabbbbccaaacaacaacbaacabacabcaaaacbbaabbacccbaabaccacaa
+acbcbccccacbacbbbcbacabbacaaabb
+baccacabbacbabaa
+aababcbaaacbccbcaaaacbcabcbcbc
+cacbbcccaababaacbcacacbbacccbccbbbcacbccacbaabbccbcbcaababbcccabaabcababaabcabbcccaacc
+aacccacbbcabccbbaccccabacaabacacabccabcabbacabaacabbcaaba
+ccccaccbcaaaabacccccbcbacacbbcabbabb
+bccacacccbabcaacbaaacbcbbaaaaacaacccacaccaabbaaccabcbacabbaaabaccbcbccbbccaaabacbabbacbaaaaabcb
+cabcabbbbccbbaacbbabbacccbabcccbbccccccccacabaaaaaabbcbcacabaccccabcac
+187 130
+ccbccacbaacaabaaaaabbaacbcccbbccbacbcaaabaccbacabcaccaaaabaabbcbaaac
+accbbbccacbcabbacb
+bcabbacaccaacccaaacccaaccbcaabcbbccacc
+acaccabbaccbbcabbac
+babbcccbbccbbccb
+bacbcaaaabbaaaccbbbcabcaacbababacaabbabaaccaabacaccababcbcacbcabcbbb
+ababbcbbacbccbcccbbacacbbababbcaaaccbcac
+cabacaccbcabcccaabbabbbacbabacabaabccacccbaccaaaabacaacbbbcbaaaccacb
+caacaccbacbaaaaaacacbccabcc
+bcbcbccbbbaaaccbcacabccbbcabcaaabbacabacccbcbbaaacabbaaabccaaacbcccababbbcbcbbcacaabccab
+abccbbaccbccbcbccbbaaccbcbbb
+caacaaabbbbbccaacaccccacacabbabcabaaaba
+bbaaabccaaaabccabab
+abaccabbccc
+bbbcaacacbcbaaaaacaccaabbbbabbbcbacbacacbbcacbbbacabcbccaacacabaabccbbbb
+cabcacccbaccaccaabaabaaacbbbbcbaacbcaaabccbcccbaabacaabba
+cacccaabaccbaabaabbccaacaabbbabcabababcabbacaaacbccabbbca
+cbaaabcaaababcbaabbbacbcaccbcccbcaaacbaabbbaaacccbcacbcaccbaaccccabcaccaabacbba
+acabbbcccacccccccbccacaccbbbbbbacabacccacbcbccbabacbbacbbacbcccabccaaaccbabbcbc
+cacbcbcbbccbabcaccbbcaaaaacccacbbbaabaacbaacaabbbabbabccbcacaab
+bababcaabbcccacabbaccbbaabbbccabcbbabccbaacccbbbbbc
+aacbbacccbababbc
+bcababbbabcbcbacacccaaacaacbccccbcccaabbbbabacbcbbbccbcacbcccbccbabaacbacaaaabbaac
+bcaabbabacccacaabaabcbacbbacabcacbcbbabbbbcacbcacabbbbcaaacbcbcaabbbccbbccbccbcbaccacccbcbbaacc
+bbbbcacacccacbcababcbaabbabbabcccccbabbcbcabccbbabbaacccaccbcbbacccaaabca
+bababbcbbacabcccabbbbbbbaccabacccbbccccaaa
+bcbbccabcc
+bacaccbaababbabcabcccabbcaacbbbaccccbbcccaccbaccbcccbacbcbaccccbbcbbabacccbbacbcaacccbca
+cababcbacabbaccacabcbab
+bacacabbccbcbbccccbabbaabccbabcbacabbcaaabbbccbccbbcbaabbbbccccabbbcccaaccbab
+aabacabacaca
+caabaacbabacbbbabaccccccaacccbbccacccbcbcccbbbabcacbbccbcbaccbabcaab
+bcbabaaccbcccc
+abcabaabcaacacaabcaabccabcccabaccbabaccabcacbbccaabcbababbbbaccccbcbabacbc
+ccbbcccababbcbbbacbaccbacacccbcabccacaacb
+acbbacbababaccacbcccaaccbbbccbaabaacbbcbbaaabbbaccaaacbbaacbbbbbcbbbcbaabaabbbcbacbbcbcbaac
+babcacbbccbbabbbaabc
+cbbccacbcabcabccccabcaacacabacaabcb
+acbbcbbbbccaaaacbbacbbbbcbcabcaacaacbccabacbaabbbcbcaccbbacbbcbabaac
+acbcbbbccccbbcaccabbabbaacccbcaccabbbcbccbccccabcbaabbaabcababccaabbacabacbbcacab
+bbcbcccacabacabcacacbcbaaccbbbbaabbabaccacbacabaaaccbccccacaccacabbcaabbcbbcbcca
+bacbcbccccbaabbbaaaacbaa
+abacbcccbccbccacb
+bcabacabbbabcabcbabcbbabababbcabababacbcabacaabaccacbbcacbbccbcbbaaaaacbbbabaaca
+bbbcbbbabcaaabcaaaaacaaabbbbcaca
+abbcabbcbbaccbcbbbccacaabbcabccaacbabcbccaaccbbcccbacaaaba
+baacaabbcbcbcbcccbaaaabcaaaccbbbcbbbbcccbabbcbbccaaacaabcacaaccacc
+baacbcbacbabbaaabaabbbacabbbcacbaababbcbcabbbbbbbabbbbbccbccccbababaaacccbaccbbaababaacbccccbccc
+bbcacabacccbcbacbcbbbbaaaabbacbcbabbabbbcabcbb
+babcaabaaacacaccccabccbacaab
+baccabbcbbcccbaaacc
+aacccbcbcaccaaaabccbaaccccabcccbcacacaccaaaccacbbcabccbcaababcabcbacba
+aaacbaaccccbbaacabacbcbccbcaccacccbabcb
+cccbaabbccccabccabaacbacacacaaabbabaaabaabacabaabbbcbbbabaccccacbbccabbcbaccacbacaccccaaacacbaacacbb
+bcbcacabaabacaabbaaaabcbbbabbbaccbbabcbbbbcaccccaaaacabcaba
+abbcbbbcabcbcaaccbaccbaabbbcaaacbbcbabbbccbbbbbcabbcbcbcaabcbbcaabbabbabaccbccaabb
+bcabaabccabcaabaaccbccacacbaabbcaaaaaacbaabcbac
+bababcbaaabccaaaabbbaabbcaacacaacacbbacabacccbcbabababbbaaabb
+bcaacbacbcbaccbccbacbabbabaabbcbbcaaaabaccabbbabbcbbcaabbbbbabababbbbccbbabbac
+aacbccacaaacabaaacbbbcccb
+acbccabaabbbccbcaaccbaacbcaabccacbabaabababbcabbbcabbacacbabababbbbacbcbaaabbbcabccacbaccaacaaacabacababa
+abbacbabaacababacacbcacacbcbbbacacabbcabacaccaabccbabca
+bbaaacaacbbacabcaabcbcbcaccababacbcbbaabcabbaabcbbaac
+bcacbacaabbbcbaccabcbbcbcbabbaaacbbbaaccbcaabbc
+acacaacababaacccaaaaccacbacababcbacacacccabbacaacabaacacbcaaabacbaccaaacbbaaacb
+abbaccbccaccccbcbcbacaaa
+caaabcbccbabababcacbababacaacaaaabacaaaabbcbab
+abbbabcacbbbcbaccbbbcbcaacbcaacbacccccccbacabcaccbacabbbccbaaccccbabcabbabcccbccbbbacacabcbcbcabcacaabaccaa
+cbabcbcabbbccbcacaccbbcc
+bcabcbccac
+abcbaacbbcacaaaaaacbacacccab
+bacbbcbbaacabbcaaccbaabbcbaaaabcbaabbcbcacaacbcbcccacacccaccbabbbcccbabbaaccababaccbbccbbbbbbaccaccbbaa
+cbccbbbbcbcbcbbbbcbbbcccabbacaacbabcbcbacacbabb
+accccacbcbaaabcbbcaababcacccccbccbcccabbbbcaacaccabcabaaaacccbababbbccbacbabcbbbccacabcacbcacbccaccaccbcc
+bcbbaacaaccbabbaabcaccacccaaaccccaaccbbaacabcbcacbabbbcabcaaabbcbcabccacbcacbbacacbaaccbbbbcaacbbb
+abcbbcaabbcbcaacbbcaabaacbccacbbbbccbbaccabaabccaaccaccbabaacaacabcbabaccaacc
+bbbbbcbbcbabacababaaacbbcbcbbccacbccca
+abcbcaacccbabcaabaacaaccbacabcbabccbaacabbabbccbbcbbabbbbbcbbbaacacaabccaccabcaacbcacbbbcaabacaacbac
+aacbcabbaccbcabbbbaccabbcbaabbcaaabcbbacacbcccbbbacabcbabaacbac
+bcabaabaabcbccbaccaaababcbbaacbbacacccbcaabaaaababcabaccccccccbaababaabbacc
+ababcabcabbaaabcbbbaabaaacccacbbaacacbbbbcbacbabc
+bacbcbacbaccbabbaacabcbbcbcccbbbaccbaacababbacbcabccabbaabacaabaccaabbabcaaccaccbabcbacabaccccc
+bcacaabacbabcccacacbabacccaaa
+aaaacbcccacccaaaaabcbaabcbcccbacbcccacbcacbcbaaababcbabaabaacbbcaabaaababbbcccccccacabbbaaaabbbbbabababbacab
+abcbaacacbcbccbbcccbcbabacbababcccacaacbbacccabccabcacbbbbcacaaabababbbb
+bbbbbccbbaabcbbcaacbcbcaacbbcaccbbbcabbabbaacbacbcbcbcccbbbbaaabaacabaaabcbccaca
+bacbbabaacbaaccbcababcbbaaacacbacbcbcabaac
+babcbabbcbabbccbbccabacabb
+bacccaacaabccbabaccaabaabbbacbbbacccbcbcbcabcbbacbbbaaacbbccaccaaaaaababacababacbccbccccccbbbaaccaacba
+ccccacbaaaabbbacaaaacbacbabbcabacbcbcbbaccbbbcbacabbccaaacbbaacb
+caabbcbacbbbcaccbaacabc
+bacbcccabcbbcabccabcbbbacbcbcacc
+aaaccaccbcbcabbacbcacaaabcbabaacbacbbbbaaccaccacbacccaaabcabaccbbb
+babccacccabbcbbcbcbbbabccccbcaca
+cabbbaccbcacccabbaccacacaaabbabbbbbbaaaabaabcacbbcbabbaacbaacbcacaacccbaacabbbbbcbcbca
+bacaacacababaacaccaaacccccccaabbcacbaccbbababbabcbbabbbabbbacbcacacbabbbabcbccacbbccccabacbacacbcac
+abbacbaabcacaabbcbaccacacbbabbbbcabaabcbcacbacabcabbccacabcaccabaabcbaaacbaacaabbabccccbaaabaabbbbbccbbc
+cccbbccbbcacabbbbbaaaaabbbbbbcaccabbbcbbcacbbcbbccbbacaacaaccccbacabacaaabbbbaa
+ccbabcbaccbbbbbaccccbacbcbabbbbccacacacbcabaabbabcaacbbcaacaabacbabaaabaacacbbcbccaaccababcab
+cababcccbccaccbabcbcbbccbaccccbacbbaaacaabaaabbbccaaabaccaaacbcbacacccccccaabcbacabccccbabbbaabcabcbacbcac
+cbbaccabcaacbaccbcbcbabccbaaabbcccbcbcbaaacbccbcaaaaabcaccbccbcccccccbabbaacbcccbcbbbbbabbbabacbcaabc
+ccbbaabcacacbcabcaaaaaaaccacbaabbcbaacbccabbbcbabaccbbcaacccacabccc
+baabbcbbaabbacbabbbabbbababbbabbabbbcbbabccabaabcbccabacbcbbcbcbcbcbcccaaccbbcacaccccb
+caccaacbcacbbbbcabccbbbacaacbabcbcbaaabaaacabaab
+acccbaaccaacacccbcacbacabbbbccaccbcaaacccbaabccabbbbba
+bcabaabbcabbcbbaaabacbccbccccabbabcbbcbbc
+acbccbbccbabcbcbcbabccacabacacaccccbccbb
+acccbccaabbbcaabaccacccabbaabcaacaaaccbbbacaccccbabcaccaaccccabcbbaaaababbaababcbcaacbbbbccbacaacbb
+caabcbaaaabbbaabcaaccabaaabaaaacbbcbbcacacaabcaabaaccbbcbcaaababcacbacacaacabbbbababbbaab
+aacaacbbacacbbaccababaaccbbaccabbbbcabaabcbaababcaccc
+bbccbcccbbaacabbbbbccabbb
+bbcabbbbbbaaaabacbaaabaabccacbabcccccbacbacccbbcaa
+bccbccaaccaaabccbcbacacbbcaabcbabbbbaaabbaabbbabaacbbbacababbbcabbaabcbbbcbabbbaabaaacbacab
+cccacabbabaccabcaccbcaaaabacacccbbbcaaaaaacaccbbcbbaaabaaccccababccbaabcaaaabccaaccbbcaaaaccabaacbcbaabcbb
+aabcbbabcbbbcbaccbcccbcabacbbbabbacabaacaaaaccbaa
+ccacbccbccbbcbbcabacacbaaacaaaaaabccacacccabcbbcbbbbbaaaccacbbaccbccabaabcacaccbc
+accbcacbaabbbabbbbcbaacbabaaaabbcaccbbcabcacbcaccbcbababcbabcccccbabaccbccabbbbcaacccbbccabaacbabcbaca
+cbbabcbaaacbccbbaaccbccbccabcbbaabbbabaccb
+cbcaacacaacaaabbaabcccacab
+bbbabcbbbcbacccbcaacccabbbcbcbcbcacbbabcbbccbbbccacbaabbcbbcbabcbcaaaaccbccababbbbcbcaaccaabacccabacbbbccb
+cbaabcabbccccbbbbbccbaccacabbcaabbccabccccccbbcaccccbacbcccacacccccbabcccabcbabcabbbbbabbc
+abcbaccbaabcaccccbacbaabbcbbbbcaabbbbcacbbbbacbacbcacaabbbbcabcbcacbaccbabccbabababbacabbbba
+abbbbabaaccabcaaacbccaabcaaccbbbbaababccccbbc
+babcbbcbacbccbcc
+aacbcacacaaaaabcbacaaccbbbbbacccacbbaaaaccacbcbcb
+abbcccababbcaaabaaaccbabbcaacbccaabac
+bccbbcbabcabcbacbbcacbbcbcaacbababbaaabbcabcbaccca
+abbcacccbbbcbbaabbcabbaaccbabcabbaaaaacbbacccbbbcbb
+bbaacbbcbccabbbbbacccabcaaababbbcacbbcaccababbacaccacbccacbbbacbcbaabbcacacabbccbcabbaaabc
+acbcaabbcbcbcaaaccaccbccbacaabbaababaacbcbaabbbcbaaaaccbbacbcbaccacbbababcacbb
+bcbacbacaaaaccbacabcabcccccacbcbccbbacbcccabbaaacbccabaccccacc
+cbccaaccacbbccccabcaacaccccbccabaccca
+babaccbbaabcaabacaccaabbbcbcaacccaaaabcbbbacbccbbbcbababbbcbccaaabbbbbbcccaacccbbcabbbbbbbbcabbaaaabcaaabb
+baabaabbabbaacbbbacacbcbbaacacccbcbacaaabbbbbbcabaaabbcbccaabbcacacaabaacacccacbccabcbcc
+babbbaaaabbccbbbccccbabcaaacbaacbacaaccbcbaccccacabccbababccccaaabcaccaacbcaccb
+cabacbcacbababaaaacbacababbbbbbcbabbcbabccacbcbcbaaabbaccccca
+cbccabcaaabcbbbaccacaacbaacaccabbabcaccbbbbacbbbacbcabccaa
+accaacabbbbcabbacabacaababbccabababcacabacbbaaaacaaccb
+ccaaabcbcbaaabbbaaccccacaabacbacccaacccacbcaababbbaccbbcbbabbbc
+cbbacaacaacacbbacbaccabcacccaacbbcbcaabbbbcabbabab
+bacbaaabaacbbbcabaccacbaccbcbabccbcbabaabccaaccbcccabccbbabcaabaccaaccbaaabbbababbacacabbbcaaabacabaacba
+bccacbcbcacacccbcaaaaaaabccbccbaccbbaccaaacbcbccbcacaabbcbbb
+bccacbccabbbaaaabbabcabca
+cbbcabbccbcbabaabbbacbbbbcb
+aaaaabbabbacbaacccccabcaaaccaabbbacccccab
+cbcbabbccaababbbcccaccaacbaacaacabbcbbccbaabbabbbbabcb
+cbcbbacababaaacbbbcaaccaaacbcbcaabbacaccacbcacaaaabababacacaaaabbcbaabcbacba
+bbcbbcbcbcbacacaabbbabbccbaccbbcccbcbbcacacbcaccabcbcccbccbccbbbacccacbacbcbcbccabbcbabcccbbaccbcbbaccbccab
+bbcaacbcbacbbccaacccaa
+bbbcacaabaacbaaabcaabbbabbcacbcabbaabbcabbbbaccbbaabcccbbabbabcbacbcaababcccccacaabbabaacbbccaccbbcccbcbab
+cababacacbccacccbabacba
+cabcababbcbcbaabaaabaaccbcbbacbbccccabaacabccccccaba
+ababacacccaaabbbbaccbccbabccbabcc
+bacacbbccacca
+aabbabcbbaaccbabcabcccaacaaccacbbbccacabbccbaaacbabaaaccbabacaccabcbb
+ccbaaaacbcbbaccbbbbaabbcbbbbbaabbaaacacb
+bbacbbcabcabaabccbbcabaccccbbcccac
+bcbbbcbcccacbcaaacccaacbbcbabbaacbb
+ccbcbaabcabbbbbaacabaaaabccbcbbccaccaabcacabccca
+aacaacbbcbabbcacabaccbaacaccbbbabbcaccbaababccaababcacbcacaaccaaababaaccbbaabccacbbababcbcbcbbabbacbabbbcbacb
+baabcbcccbbbbbcba
+bcbacaabbacbcb
+baaabbabcccbbbb
+caaccacbbbbbbabaacabaaccaccabbabcbbaababcbccacbaaaccbccacbacacacabcbacabbbaccccccccbabaa
+abcbaacccbabaacabcabbaccaacabaaacbaacaacaccbbbbaababbacccacaccbccabcaaaabb
+cbbaabcbcabccacbcbccbaaababbbcbccaaaabbbccbbcaacabcccabbacca
+bcbabacabbaaabababcbcbaabcaccbabcbbacccabbbbacabcabbcca
+ccbbabacabaaaacacbabaacaaaabaabbabcacaaacbbacaabaccbbaccabbbccbccbaacbcbbaacaccbaaaccb
+caccaacaaabbba
+caaabbccbccbbaabcbacbccbaaccaaabbbbbbaccbbccabcacbcbbacaccbabcbccbcbcaccccccbb
+bbccaccbcaaabacacabaababbaccacabbcabcccbacacccaabacbccccbcaaaacccabaabccbaabcbbabb
+acabcabbcbacaaacabcbaaacbcbbb
+baaaaaccbbbcbcabcaacaaacabbabcaaaa
+bbcbcababacacaccbabcabaaccbbcbcacabccabacaccbcccaccbabbccbcacacaaacbaacabacabaaccacaabcbaabab
+cabbaacbbacaacbccaacabbccccaaababaaacabacaabbcacacbacaca
+bcbcaccaacaaaaabcbacca
+cbabaabcacabbccbaaaccbcbbcacbbbabbbbbbcbcacaaabb
+ccbbbbbaaabbbbacaccbaacbcbaaacabbaaaaaacbacbabaaabccbbbcabbbccbcbbcbaacacbcbbbba
+abaabacaacaaccccaabbbbbccbaaabcb
+ccbbccccabbbbaabaacbccccaacacacabcabbbabaa
+baabcbababcbacbabbbbccacbcaaaaabbbbaababaccbb
+baaaccaccbcbbcaccabaccbbabcccaaacacaacbbacbbccacbccaaaacccbacccaabcaacbabca
+acacaacaacbbabaacacacbbcbcaaccbcbbabbbcbcabcbcbaaaabbabcacaccabacaaccbcbaabccbacabbacbbcacc
+cccaaabbcaaaaaaccacccbccbabccbcabccaacbcbabbaaccbbabbcbaabbcbacbaacbaacacaabccbcbbbacbaaacbcbaaabbcccaccbbcac
+ccacbbacabababccbabbcbcababcacccaccaacacbabacbccbcababcbcbcbbacaabbcccccacc
+caacbccbaaabacccaaabcbabacbbccababaacabcabccbcbcbbbacaacaaacccaacacacacbccbccbabccbcbbbacb
+cccbcbbbababbcaaabbacabcccbbbabbcbacccbabbcabcaaaacaaacabcabcccaccaaabbbabbccaabbbcbacaacacacabccbccacbcc
+127 119
+bdbdadbaaacdadaaadcaddcbcb
+bddcdcdacbaadbaacccbbddcbbcacda
+accdccadbcacbcbcabaacaadacd
+acadabaaccdaadabadab
+bcccacdcbdcbcbadcbbaaaadbaabbaccdabaacbcdabdccbbddaadbcddcdadcaaddbcbcbcdbbcddbcdcccbcbcabdb
+aacdbabacddacadcdddbdaddaadcaabbdadabdccabcabccdacdcadcabbbdbbbadcb
+bdbbcddaccaacaddababdbddcccdabdbdaabddddbcacbaaddccbbadcdbddaaacddbcccbca
+baacaacdbcabbcbcdaadcccacdbaccddbabaabadadaccbbbbbcbaaabcdabbdbabaddaddcdcaddbbddcccbbcdcabccacdccbcab
+bbddcaaaacdbccbdbbabaaaaacbdcadbcdcdcddccbdac
+dabaababaddabccaadcdccabdcdccbcaaabadaccbccacbacaddbcbbccddccbcdcdadcdadddbcdbddcbc
+bcaadddbadbacdcabcdabaccdbacabbbaccdaaaababacacbbcbdcbaddaacbaabacddccdcacbcaaddabbdbbdddaaccbcddb
+ddaacaaaccbaabdbcbadaaddacbdbcccadbababcdadbbccdabddbcaadcabdabdbcbdddcabdbabaadaadcc
+adadbdadaadaaabcadadbbaccaacacbbbcbbbbcbddddcbdcabdd
+ccdbcbcdacbabddcbbadcadcbcbbccbccacbcbcbaccbbaaddadddaababbacbdbbbdbdbca
+acdcdabcccbadcaaddbdddbbada
+abddacbdaaaaacbdadcdddbbcacabcbdccbcbbdcbbcbdadbcdcaaabaadabdababdbdcadaccbcbadabdcddabddccaaadbccac
+ddadcdbacbb
+abadbbccbddcdccbaaaacddcababcaddcbddcdbcadcdacdbbacadccaacbcdbaddabddabbacdbdaacccddaadacacccddbcdccbcbbacbd
+cbbbbbbdcbacdbdaaccbaadacadacaabbdacbddccdccacbacbaaccccdddcbccdadcdbca
+cbacddcddaaadaababc
+accababbddaaccacbdcadddaddcadadccccaddacdbbddccccababddccbacaaaaabaddbcadbacabcdabdc
+cccdddaddddacdaabaccdbdcbcddaadcaaaddabccdddacddcbcdcaadaddbbacad
+bbcbcabbbbbdcadaaccacadadddbd
+bacdacaaabbcbaddacddacdcbccbadacdbb
+dcabbcaabacddaaddaddcbcadabcdccbdcbccccdbdcddbcddccdabbcccdaaabacacbbccbcdbbadcdadccbcbadccdbaadbddccddccbdcb
+babadccccacddcbacbdabccdcbcdcbbcaabcaddbdbadccbbaabaabadbdcaaaccdabdcaabdcabbadd
+bdbaaccaabbbdcccabcddbbbdcaabbbdbbcaabbcbcbdbbadddbcdda
+baddaddcacabbabbabcacddcaaadccbdcbbdcaacacabdbabdcbacbdaabcbadcbadd
+cdaaddbcddbdcbc
+bdddadcdcdacccdbdcaacbdcaaddadaccbcacbbcadcdcadbcabaad
+cbcdcaabdccddcdcbaacdbbbcdbdcacdabdccbdaabacdbcdcdcdbddcddcbadcdccbabcbacdadddaabcabaad
+aadddcacddbdbbbaabbbdccbcadabcbddcabbbcbcaaccbabdacdcbbdaacbbaabccacabccaabcbabddaccdaddbdcaccbccabcdbcbcdd
+accbdacccbaacacbdababcacaaababcdadcddabcbabaaaaadadccaabdaabaabacddcb
+bdabdcacbacbdddcacbaacccdddbacabc
+aadcadabcacacbcdcbbaddccdacbacddbaabbccccddccadaaccaccbcacddabbadccadddabbbca
+aacbbdcbddcdcaccabbcdbbdbcbadababbdbac
+cabcbdabacababadbcadbcdaadabbdabddbaddabdd
+cbcddcddcbccabcdbdddcaa
+abaabdcddcbabcc
+bdacacddddbaabbacbadccabcddaadbcbdc
+babcabcaabdcaddbcadac
+cabcabbcdbcdabcaaccda
+bdbdaaaaddcabcdacddbcddadabbdbdccdbbbdaac
+dbddcdcdbdaccbacabcaaacacdaddcdbcbbbcddcdbdabcbdbcacbdaaabaaacaddadbbababdcbdbbdc
+dcabadbbcdbdddadaacbabbddbccacbabdbcbbacdcaaabcbaccbaddbbacbbbddcdabccaddaaddadcdcaaad
+cbbccaddcccbdbbabcabbbdbcabbdacddbdbcadbaabdbaddcbcadaba
+dacdaaacdcccbcdcdcbcdadcccccaaaabbbbccabcbdadccbcbadabdcadaaaacccdcdcbccddcccbabdbdbadc
+dbabbddcdbadaddbccacccbdddbbbbcbccbacacbdaadcbaaccdbcaadcbaaadbccdddcdbdabbcdcabdcadcdccbcbcc
+aabcacbbaaadbd
+dbcdaccdaa
+cdaaccaabccdaaabccabdcdcbbbdcbbdcabdcabcaaadaaacdddddd
+daabdaacdaacacbcbaabcccbcbdddabbabdcadadcaacddacddcbb
+bcdccccdbccbaddccadabdddbcbabcbbdccddbbaddbdadbbbbcdb
+caccadddcadcaccaaaadab
+ddcbadbdbbbcabacbacdabaddcaacddaacbbddcdcbddcdcabbaaaccdadadcabcdcbacacacccadaaabadaacbcccacbdacdbdaaacbbdaa
+dbddbbadccbcdbddccacaadb
+daddaaadcbbbabcdcadbaccdcadabccbbdaccabbbdbcbaacdddcbcddac
+dbcbbcdadadccaddcbaabadcaadaaccdcbadcbcbcabbaadccdcbdbacacbabbcadbdcbb
+cbdcbcbdbdcbabcbaadbaababcdaddbbbddcbdacbdbcccbacccdcccbccbaaaabdacbbddacddbacbbacbdcaacada
+dacdccacbcadbbaaabaadaaacadaadbbdcacdddcabdabccabdaabcccdadcbaadbdc
+bacdbcddadbabaacdccbaaddcaadcdbcbaccbacdbcbcaacdcbacdadbdbaabccdddbddadc
+adbdddaabccbacaaacabaaab
+bddbbdbcdcbaaddbcccabdbabcdbdadadcadacccaabcdbcaaddcaccddbbbcaddb
+daabacacccacbcbdbaacbdcdbdbcdbdbccaaacdddccdbaddacaabdaddbddcbccddbbcdacccbbbddabccc
+caabbcbdccabaddbdcdacacaadcdcbbdbddddabcbcacdbdabcacccbccccdbddddaccccbbddbbbbabcbcdcbcdac
+adcccabdcdababaaabdddbabddbcbcddcbabdcbdadbcbdaddaabacbacbdccbddcbaddbcdabcccc
+abcabcbcacdbcdaabdcabacadacadccbbbaacaabaadcadbbdaabadaddbabccbacbdbccdbdbda
+dccaddcddbdcbaaaddcadadcadbcbcbbacacbcdddbcabdbbdcdbacccadbcdbdcdaccabbcacdcddbbaabdbdcaccabcdadcdbdca
+addabddbcbbdadabbadaaaaabcaaabaacbccdcbaadd
+bdcbdabaaadcddbbbaadcdadaacdaccaaadbbc
+abcdacdaaacdbddaccdbcccccddbccbbdaddabbcbaaadcbdcaadcccaababacccddaccbdaabbdbbabb
+bdbdbcabdbcadbdababaaabadaaaaabbcdcdcdbbaaccdadbcdbbcdaccbbcdbcdccccccabbdbcdaaac
+abbcadcabdccccdbdbbadabbdcaaddcbcbabcacaacadcabcacbbcdabacbbaccbbadcababcabdcdabacddbacccbaabdbcc
+abdabdcbcbdcbccbabcdddcadabbaadcaabdccbabcadcbbabdabc
+dccaacdbbbbaaddc
+dbcdbbbaaaadbdbdcccbdddadddaabbccaabdadaadabdbdcabcbddcbaddabadabc
+dcbbbcbadbadaaacccdbbcaccbddbcabbcbabbcdaaccabadaabbbbaaddda
+ddcaaaabbacdaaacdcdcdabddadabccddcbcbacabbbccbdcdbbadadcbbcaabacbbaaadacaadbabdacdbdbdaadaccddaacd
+aacddcbbcbcbdabdadadadbcadcbccdacaccbadbbbcbbaaabccdccabcccaadadcb
+daccbcabddcbaddcbacaadbcacacccdabbdbddcbdcbdacaabababbadbccdcddbacbacbb
+bccdccaaccbcdbbbbbaddbccbdbb
+acccddbddadcbbccdcbdcbbbbacdcbcddddccdaccdcccaccdaaaddbccddbaccacdbcdccdccdbdbda
+bbcbbdccdbbaddaadaacbccdccaacdcdcdcbcaccc
+dccbbabbcbcbabdbaac
+bcdcbacaaaaabdddaaaaacaabacbbaaaaccbbbdabbaacdaacacdcabdadacccdadcdaabaabbbaddcadadddabdbaa
+bbaadbaaabcbbbabbcccccaabcadadacd
+bcdaadacbcbccccccdcdaadabdcabccbccbdaccccaadcbaabcabbabdadbcddcabbdaabdccdbcbbbcdcb
+accdbacabadaccdcccbcdc
+caaddccdbddcadaddcdaabbccbbbdabaddca
+dababbbddccacbcbdbdddbadcacbcbbbddddbcacddcaaaabcbabccdbacaccbdbbcaddaacaaca
+cccdbdcbcdbcbaddccabadbcaa
+ccbdddccddbd
+dcaabaabcccdcccbdccbdacbdacdcdbcbaaaaddaaaddddcccdbbddadbabccacbcaaccdbacb
+cdccacdbbaddabbaadcbbdadbcbdbdaccdcccdacadadbcadddaccdddabbacacdddcacbacababbdcaaadccdccaadc
+aabdcbccbaaddbddccbadabdacabcbbdccbcdadaacbbabcdddadbbabcadbbcbdaacadabbca
+abcadadaccacadbcbacaaccbaaddddcbaaadacbcbdccbdbbabccbcdbacbbcccaddabacbadbcdccbddbbbdabbbccbddcaaacdbbccbacac
+abcaddbaacdadcddbcdacdcbaacbacdacacabdbbad
+bacbddbadcbbbcdadbdbcbd
+acbcdcbcdbaabbccdabadacabcbcdadaaaddacbabddddbcabdbdaaba
+bddcbdaaddcbdadabbacdccadcdcbacbbdacbbdddabbbbcdddababdbbcacdabddabaccc
+aabddadcdacdbbbadaadaabccacaddaacabacdcbdbabacbadcacbaddcaddabccdcbacab
+accbbcbdddbbddcbccbbbdbacdabadcdbbacaadcc
+cacbbaabaccaabccccabaccdccddbdaadadccadbcdaadabdcabdcbbadacdadaddbdabbbadadbcd
+bcdddbadcbacbcccddaabacadbdaac
+caabbddbacacbdabdccdbb
+bddadbbddcbaadcccbbcabbdbbacabdadaaacbccddcbadbbaaaadcaabcbbaadacbcab
+dbacbaababbdcddcadddacaadcca
+dbccdcdcdcccccbba
+dacbcdcacdabcbcaccbcabadadbdbdcddbcdddcbdcdbdddcbbabdacdacbbcabac
+adcccdaabaabcbabcdbcdcadbdbbccabcaababccccccacdbbdadacadddbcbcaaaaaabdcbddcbbbbbbdaabacdacaccdd
+bcbbcbbddbbcccbcadabdddddcdbcaadccdbdbdaaaabd
+cacccacbbaacbbdadaaadcadcabdbaadcbdbadcbbccbbcdbbaaddcdabacacdcdbabdddacbbadbdbacd
+cbdacbbcbbdbaddabbcdddddabaadbbdabcdbddcbbbddccabab
+aadbbcbddddabbbdccbdbbdaacadcdbdcdabccccacbdbbdacacbddbbdcaddbaabddcbacdccccb
+dddabdcbccbbdcdcbdabccacccbdabacabbbaacdccacc
+babcbbbbaccbbacadbbcbccaacbbcdbbadddcbbadadbbcbaabcadcbdccacccabbdcdaadcad
+cadbcccdddbbabcbdccaccddbadbacacaadcdbbaadaaca
+aabbadcddccabbdcbaccabcbd
+bdbbbcbdaacddcadbcaadcbacbbbdcabaddddcacdbccdccdbccabdccccacddcaabdaabdadddddbcddbdccdcdcdbaadbdaacdbaca
+ccdaaacbdaabbccaccbdbabddacbbcdbcccdbbdacdbcbbccbddbbaabcbaaacbbdabdcdabaccddaababcacbdbcca
+bdcbdbaabdacaadadccacbbbcdbcdcbabbcbdaabddccabcbcbddbdcbbbcabbddbbadbadbacccdcdaadcbacaacdcaaccac
+bacbddcdccbbcdbacabdddbddddbdabccdacbdbacabcddcccdcdccbcbbbcaaacccdcccbdacacbbbdaadababadccbadbbadbdcda
+bdbcdababdadacdcccdacbacdddacbaccbcdabdadabbcaaabcccaddacb
+dcacddddcadbbccdbabbbbddbabbcbdabcbacaccbcdadcccaddcaaacabcdac
+aadcccdcaadacddbbbcbdcdcccacbdbacbbcbddadaaaaabcbdbabcdbcbbadaabbacacaacab
+bdbdbbbbdbacbdccdbccaabaacbbcaddbcccbdacabacdccad
+daadcbcbdcdaacccccdccbadcabbbdddcddccdcaacabaa
+119 71
+aabbababaaaba
+bbaabbbabbabbabaababbabbaaaaaaaa
+bbbabaaaaabababaaaaaaaababbbabbbaaba
+ababbabbbbbaaabaababaa
+bbabaaaaabaaabbb
+aaaabbaaaaabaaabababbababbaaababaababaaaaba
+baaaabbaababababaababbabbbaabaabaabbbbbaaabbaabbbabaaabaaabbbbabbab
+bbbbbbaababbbaabababbabbabbaabbababb
+baabbbbbaabbaaabbbaaabaaabbaabaaaaabbbbbabbaaabbbabbbababaabbabababbaaaabaaaaababa
+aaabaabbabaaaaaaabbaaaabaababbbbbbabaababaaabaabbaabbbaaabbabababbaabaabaaaabb
+baaababbbbbbbbaabaababaaaabbabbbaaabbbaabbbabababbababbabbbbbbaaabb
+abbbbaabbbaababaababbbaabbbaaabbbababbaabbba
+abaabbbabbbbbbbaaaaabbaaaabbaabbaaaaabaabbbbaabbabaabbbbaaababaaa
+ababaaababbbaabbbaaabbabbbaabbaaaaabbabbababaabbbaaaaaaaababbababaaababbaabbaa
+aabaabaababbbbaaaaabbbabbababaabaaaabaaabbabbaaaaabababbaaababbabaaabbbaaa
+bbbbaaaabbaaababbbaabbaaabaaabbbbbbbbbabbabbbbbaaaaaaaaaaaaabbbbababaabbbaa
+ababbabbaaabbbbbabbabaaaababaaababbbb
+abaabaabbabbbbabbababababaaabababbbbbabababbababbaabbbbbaba
+bbabbbaababbaaabaaaabaaabaaabbabbaaaaababbaabaabababaaaaabbbbbaabaaaabbbbabbabbbbabbb
+babaabbbbbbaaabbaabbababbbbbbbabbababaabbbaaabbabababbabbbabbababbaabbbaaabb
+ababaababbbbabbabaaaaabaaaabaabbaaabbbababbbbbbabaaabababbaaab
+abaabbabbbababababbbababbbbbbbbaababbabaabb
+ababababbbaabbbbaaabaabbabbababbbaaabaaa
+aaabbbaaab
+bbbabbbabbabaaaaabbb
+bbbbababaaababbbbbaaababababaaabaabbabb
+bbbaaaabbaaaaaabbababbabbbbbaaaaabbbaababbabbaababaaabbaaaabbbbaaababababaabbabbbaaabaabaaabaabbbabaabbbbaa
+aaabaaaababbbaaaabbbaabbbababbbbbaabababababaabbabba
+bbaabaaaabbaaaaaaabbaaabaabbbbabaaabbbbabababbbbaaaababababaabbbbbbabababaaaabababaababaababbb
+aabaababababbbbabbaaa
+abbbbbbabbabbabaaabaaaabababbabbabaaaaaaabbaaaaabba
+abbaabbaabaabababbaaaaabbbbbbbaabbabab
+bbaaaaabbbaaababbaaaaababaaaabbbabbababbabaababababaabaababbbabbbabbabaababaaaaabbbbabbaaabab
+aababbbbabaaa
+abbabbbbaabbabbbbabababaaaaabbabbbaabbbaabaabbbaabaaabaa
+abaabaaaabbaaabaaaabaabaabaaaaaabab
+abaabbbbaabaaabbabbbaaa
+aababbbbabaaaababbbabbbbbaaaaaabaabaaaabaababbaaabbaaabbaa
+abbbbbaabaaaabbabaaababbab
+abaabbbabababbabbabbbbaaaaabbbabbabaaaaaaaaaba
+bbbaaabaababaaaab
+bbabaabbababbaaaaabbaaaaabaaaababbbaabbbabaaabbabbaababbbaaabaaabbabaabbaababbbabbbb
+abbbbbabbbbaabaabbabbbaaabaaaaabbabbabaabbabbaaabbaaabbb
+aabaabaaaabbbabbbbbbaba
+baaaababbababbbbaaabbaabbaabbbbababaabbbaabbbabbababababaababaaaababbbbbababbbababbaababbaabbbbbaaababaab
+bbbaababbbbbbaababbbabbbbaaaaaaababbbbbaaababaababaaabbbbaabbababaababaaaabababaaabaa
+aabaaaaabbbbbaaaaaa
+abaabbaabaababbaaaaaaabbabbaa
+abbbaaabaaabaabbbbaabbabababaabbabbbbb
+babbbaaabbaaaabbbbaabababaaabaabbbabababbbabababaaabbaabaabaababbabbbabaaa
+aababaabbaaaaaabbbbabbaabababbabbbbabaaabbbababbaabbbaaaaabaabababbbaaababaaaabaaabbaabbabba
+aabbabaaaabbbaaa
+aaaabbbbabaaabaaaaaabaabbabbabaaaaaabbaaaaaaabbaaaaabbbbaabbaa
+aabbaaaabaaaa
+ababaabaabbbaabbaaaaaabbaabaabbbabaababbaa
+aaaaaababbaaabaaaaabbbbaaababbaababbbaabbabbabbaabbbaabaaaaaabbaabbb
+bbaaaabbaabbbbbbaabbab
+baaaabababbabbabbaabaabbbababbbbbaababaaaabaaaabb
+aabaabbaababbab
+aabbaaabbbba
+abaabbbbaabaabaaaabababaabbabaababaaaaaabbbbaababbbbaabababbbbaababaabbbbbaaaabbaababaaaabbaabaabb
+ababbaabbaabbbbbaabbaaababbaabaaaabababaaabaababaabbbbaabbababbabbaaaaaaabbbbaaaabaaa
+abaaabbbaabbabaaaabbabbaaaabbbbbabbbaababaababaaaabaaabbb
+abbbabbaaaabbabbbabbaaaabaabbaabbababbbbbbabaabaabbabbabbaaaaabbbbaabaab
+bbbaaabaaaabaaabbbaaabbabbbbabaaabbaabbabbbaaababbbaabbbaabaababbaabaabaaabbbbaaababbabbba
+bbbbbbaabbbaaabbbbbbbababbbaabababbaababbabbababababbbbbaaaaaaaabaababbabaabaabbb
+babbbbaabbbabbaabbaabbaaaaaabaabbaabbbababbbabababbaabaababaabaabbbbaaaba
+bbaabbaaabbaaaaabbbbbabbaabababaababbbbbabaababaaabaabbaaaaaaabbabbbabaabbbbbbaabbbbbbabaabbbbabaaa
+baabaaababbbbaaabbaaabbaaaaaabbbbabaababababbaaaaabbbabaaabaaababaabbbaaaa
+babaaabbaabbaababbbbaabbabbbbabbbbbabaabaabbabbbbbbaaaabbaabbbbabaab
+abbbbbababaaababbaaababaaaabbbbabbbbabbabaababbaabaaabbaaabbbbbbabbaaaabbaaababaabbababbaabbbabbabbab
+babbababbababbabaaabbbaaabbabbaaabbbba
+baabaabbaabbaaaaabbbaaaaabbbabbaaa
+aabaabbaababababbbaaaabaaabbaababbbabba
+babbaabbbbbbaabaababbbbaaaabaababaabbbbbbaab
+babbaabaaabbbabbbbababbbbaabaaababbaabaabaabababbbabaabbbaabbbbabbbbbbaabbabbababaaaaabbababba
+baababaaababbaabbaabbbbabbbbbabaaabbaabaabaaaababbbaabaaaaababbbbbaaabbbbbaaaabbabbaabbbbbbbabba
+bbaababbbbabbabbbbbb
+abababbbbbaabbbbaaabbaaaaabaabaaabaaaaaaabaabaab
+bbabaaaaaababbbbaababaab
+bbabbaabbbaababaabababbbabaaaaaaaabababbabaabbabbbabaaabbbbbbbabaaabbbababaabb
+ababbbabaabaabaab
+abaaaaaabaaaaabaabaabbabaaaabaabbababbbbababaabaaaabbbbaababbaaaaaaabbaaaaaabaaabbabbabbaabaaabbbaabaaabaaaaa
+baabbababbbbbbabbbbbabaabbbbbbbaaabaabbbaaababbbbabbaaaabaaaaaabbaabaaabbbababaaabab
+baaaabbbbbabbaabaabbbbbabbaaaaaabbbaaabb
+abbababbabaabaaaabababbbaabbaabaaabbaab
+aaabaaaababa
+aabbbbbbabbaaab
+aaabbabbbabaaaaaaabaabaaaabbaaabaaaaaaabaaabbabbbbbbaaaabab
+babbababaababbbbbbbababbaaaaabbababaaabaabaabaab
+abbabbaabababbbaa
+baabaabbaaaabb
+bbababaabaababbabaaabaaabb
+bbabbbabaabbbbbababaaaaaabbbbabbababbbaaababababbbabbaaabbababbaaaabbaaabaabbbaaaabaa
+baaabaabbbbababaaabaabbbaaaabbababbbaa
+abaabbbabbaaabababaaaaaabbabbabbbabbbbababbbbabaaaaaaaabbaaaababbaabaabbbbbbabab
+abaaababab
+aabbbbabababababaabaabaabbbabaaaabaaabaaaaaabaababbaaaaa
+abbbbaaabbabaabaaabbbbbbabbbbbbbbabaaaaabbaaabababbabbab
+aaabbbbabaabaababbabbaaaababbbabbaaabab
+baabbbabaabbaababb
+bbbbaaaaaaaaaaabbbabbbbaabaabaaaabbbbbbaaaabba
+baaabbbababa
+bbaaababaaaabbaabbabaabbaabaabbbbaababbaaabaaaababaaabababaabaaaa
+aabbbaaabbababbbbaaaabbabbababaabbbaabbbbaaaabaaabaaabababbaaaaaaabbbbbbbabbaabbaabababaabbbabbaabbbbbaaabb
+aaaaabbbbaaaaabbbabbabbbbabbbbabaaaabbbbbbbbbabbabaaabbababbbbaaabbabbbab
+abbbababaaabaabbbabbabaaabb
+aabababbbaabbbbababaaaaaaaaaaabaaaaaaabbaababbbabbaaababbaab
+abababaaabaaaaabbabbabababbabaaaababbbaabababbbbabba
+bababbabbbbaabbaaaababaabaabaabbbbbbaabbbabbbbaaabbaabbabbabaaaabbabbbaaaba
+aabaabbbbaabbbababbbaabbbaaabbaaabbabaaaababababaabaaabbabbbbaababaaaaabaaababaaaaabaabaabbbbabbbab
+abbabbbaaaaaabaabbbbaaba
+aaaabaaabbabaaabbbaaababbbaaaaaaabbbabbabbbaaababbabb
+bbabbbaaabbaaaababbbbaaabaababaabbbaabaaaaaabbababaabbabbabbbaaaabbabbbbababbbbbaabbbaabbbbaaaaaabbbbaaabaaa
+bbabbbaaabbbaabaabbababbabaabbabbabab
+bbbabbabbbaba
+baabaabaabbaaabababbaaabbbaabaababbaababbabaaaaabbaabbaaabbbabbaaabbaabaabbababababab
+aaaaabbbaabaabbababbbabaaaaaaaaabaaaabbbab
+bbaaaaaaaaaaababbbaabbabaabaaaaaabbaababababb
+188 181
+bbbdccbcdddacdadbbbaabadadcaddcacdaabdbaabcbdacaddadbdcbaddcbacbbddc
+aaadbbdccabcacdcacbbbcddcbacaaacccaacddbdababdaabadcabaabdaacacbbcadbabddadacabcdbcdbcdcbddcdcddacc
+dbbaadacaabcbccbcbababcadbabbcddcdbcdbdcccdbadcbcacdaacadacadbdcbbabacbcababddcacdacac
+cbcdccbccbaacaaaddccbacbabccdabbcdbddcaadbcdaacaadaabbbddbdadbdacacbbacdbaaaabadcacbcdddabaabab
+bbbcbdcbbcadccbacadbabdcbdaadbdaacbcbbdabaacbcbaabaabdddbacbbbacaaddbdccbdabaaabcacadbdaaddaa
+dacaaadaddbcadbdabcacabcdcbacbcdcaddbacabcbadbadcdbadabdbdcabdcb
+ddddbacdcdbbcacabdbdbbbbcabbccaaddddbba
+acddcdbaccbbbbaaadacbadcaaacbbacbbdcdadddcbaccdbbcaaaadbbddacaccdabccaacbddccdbd
+cbbccdbcdddcdbcdbccdadbcbdbbbcaccdbcbcbbacdcbaaaacdacaddcbaccbdbbadbabbcda
+dbbdcdadccabcacd
+aacaccbcdbcdcaaccccccbcdaadaddbddcbccdadbacabbdcdaadbdccacacbaabaacdadddcccc
+adccdcaabcdbbccdccbcbcdcabaddbccccbdcdacddbcdbdbdbcddcabbdacccbacbadababc
+cadadccccdaaacaadccabadbbbadaabbacbaccbdadcccccbdbbddbdbdadcbdbdcbbdcddacdbbcbcdbdaacbacbadb
+cccaaaadaacacbcadaddbbcbadbddcbcddddcdbaaaadbbddcdbbdaacacabaaaddadcdcaaa
+cbabdcddcaabadbdddcadddbccdacbcdbdcdbdaacabaccabcccdadacbccdcdddccbcaddbbacccbcabddbccddbacbd
+cdcdbcabaabdbbaaccccbabbdabbdbcdaddccabbcbcabcabccbaacdadcbbcabcdbcccbdccacbacabbbbddbabbacaaadcccdbdbbdbaa
+adcbddadccdacaddaadcbddcbaddadadbcbdacbadadbadbabdddadccccaacacbbbcbdbdbbdbdaacccdbdbacdd
+dcabbabadacda
+cdcacaaddbddbbdaaaababdddaccdbadacdbadddababdcdcbaccaacab
+caababdcbdbbcdbcddcdaaabdbacacccadcccbcabb
+abddbcddabadaabcbdaaaccbdbc
+bdacbabbbcbcbdcbabaacdbcdcbacdbbddadababbdadcbbcbcaabdaaabadadcd
+bbccaabacbccb
+bacddadadddaadbadbbaab
+dcadcdbbdcacbaccbdbbaccadabbcabddddddbabaaaaaccadcbcdabdacbbcaacb
+bdacdbcabdbdddddcbbbdc
+cdadccaacbacdcdadbacccbdddacadadaabb
+bbdbadbccdbacdacbdacbdcbbbcbbabcbdddacccbccbcbaddbbacccbdcbcadbddbcaadaaadbaadbcdd
+aaacadbdcbabcccbddabbbcababcbbbcccbcdcbabdbccbbaaabddbadbbdbbadcbaccabccbbcdadcad
+adbcccabcdbacdadacbcbdbadadddacbcdddcabdaacadcdcdddbcbbddbac
+dadabbdabbdcacdccaddaabcddabbccc
+ccdcdbddadaad
+adaaccdcbdaccccbcbbccadddcadbcbacacbbcabcccccadbacbaddaacbcdabcbaca
+cbddbbbacbcd
+ababcbdabdcddbacabbabdcadddbbcddbdbcaddcaaccdaaaddbbabdccbcbdb
+cacbbdacbdadbdddccbccbadcdcaadaabddacadbadddcbbdcdbd
+bcbacccbbcbacbbadcdcadaddabdbaabbabddcdbdcddba
+ccdacbdcaddbbacacadcbddcbcbaaaacaabcaaacbcbdacc
+ccacdacabadcaddcdadabababacbbdcbcbadbbbbabbddcbdacddababcabdbaddccbddabadaabdacbbdbbbcdcccaaddabcaaaddabbacb
+dcdcdbbdbbadbdbcdacbaadbccdaaabccaaddacdaaddaccbcaccdbabdbdaabcbaacacdcccab
+cacddcabdabacdddabcddadbcbcdcbacbdccaabcbcdbbdbcdcabaad
+cadcdcddacdacadccdccaaaaabbcaadbacacdadccbbddabdbbcccadcdabccbabbdacbabbcbcacadcddbbabbadcbabaadcabaaabba
+dddadaddbcaacbbcdacadcdadadbaddccacabddbbaddccbbcdcadcacbbccbcacbacbbddababbdbbcadaaacbbdabcdc
+abccdaadcdaabcbdcbdcbabbaddddacaaaddccdbbdbcabbcdcacd
+adcacbdbbdcbacdccabbccabdcdadbdba
+cdcabbddbabdbabacdabcbabcdccaaabccddbbbbadaadaacaabcdadbcbddcbddbdaddacbdbddbcaaacaaac
+bcdbdcadbaababbbcddacccddcbadabdaabcadbdbdcacdbaacbadbabdcbaccddbdcbbabccabcdbcbccd
+acbbbababbabaacdaaabdabadacbbdccacdbdbddbdbccbbcacbbdbdaadadbddabccddbdddaabdcbaddaddac
+cbcdddababbbdbdccbabbcddacdbbbbcad
+bdadaadccbabcabdbcbbbdbaadd
+daacccdbcaabbabdaacabcbdbadd
+acadbccddbccdddaaacdbaadadcacdbbcdaadc
+aabadacacabcccdddbdccdaaddcdbaababdbdbaabadacdacdbdbcaaaddacbdc
+accbdbaddcbcdaabaddabdaccadcaabcbaabccaccdddabddcacdcdccdbccacdcdbbadda
+cddccbbbdaccccabdcdbad
+adcbbccbbaaabcdaddaabccbcbcbcaabccadcdbadaaadabc
+bdbcbadbdbdbdddcbdbaacdbbdaccaaabbcbbcbbbcbadcadbdbccdddaacadaddbbcdcdadbcacdcabcdacbbcba
+ccdcdddbddccdacadabdaddcdbccaacdcdcbbbcbdcccacbacbccaaddbbddbaaaddacdcadacdabdda
+acdacdbacbcdbcbabcacb
+bcbabdcbdcaddbdddddacabddaadabbddcbcbcdbbabaadcbaabbadacabdbddbddccabaddbabdaadcbbcbbcacddaaddccabcaccbbdcdab
+bccaaacbbaaddcbbbdaabcadadbacbbddaaabcadaaaddbcdacbbaccbbaabadcdbbccacbabbdd
+dccadbacdcacdacb
+ccdbcbddabcaadccacccadbddccaddddbdaccdcdaacbcdadaadbbbacbdddadcaabbbadbabcaacabcada
+acdddcbcadaadcbcaacbbddbcabccacdcadcdcbcbdbddcbdcdcbaabbbba
+babdabbadbaacabddcdacbacc
+badcccccddaccdddddadaaaadbbaaacadcadaacbbdddccbdbcbbbddcdabbb
+cadbbbcdaaacbdccdbdaccbcdcdaaddd
+bcdddccdacaaacddaaadbddccaabdaadddaa
+cacabbbbacbdc
+adadcddaadbdbcdcdaacbacacbdddaddcdbccadaddbcbdbbaabddaacbacabaaabdc
+bdbacdbbbccbdbbdadadbabbcbccadacbabadbbaabddbbbaabddaacbbaadbdbbddbcccaccbcabbbac
+adbddabacabbdbcccbbbacdaabcdbabdccbddcaddcacdbbddacddabdccabbdbbbcbbca
+cadcccccdcddddaccbcdadcdcdaacabbbdcadcdbcbdcacdca
+abbcbcabdacbacdbbaccdddbcabbdcabcaacbcaacbcbbcaababbaaacdbccacddaaadab
+cdadcdbabbcababcabcccbbccaccbdaccdaccaddddcbdcabcddabbdada
+aaaaccbcadadddcbccddddabbdcdcdcabbda
+badabdbcbdaddacaccbcbacaaaaccccddbbcbabdaabdbdcadbbcdddadbdcaddabbdabbcaddaad
+bbcdcdbbddacbcdcdabbddbccacbccdccbaadbbcdbdbbdcadbabaacabbddbbdaacbaddccbaabdccbccccbaaaadacabacccd
+acbabddbdabdabccccaddccbbadcddddcaddabadddbdabbabcbbbbaabdcacbbbbcdbcdccddab
+dbdbbdbcccdaaccaccddddcbadacabcdbadaadabaacbcbcacddddabcda
+bcccdcacddacadcb
+aaddaacdcdacddbabcabaaabbcbcdddbcaccacbcbdadbabbadacacabcacada
+cabdcbcabcbdcdbcdaddabacabcadcbcdbbbbdccdacbdcaddbaccacbaaacbbcdbbaabdadba
+abaaaaabbbbbacaddabbbbacdbddbaccccad
+cacacadabccbcabdcaacbbcbcacbdbaddcaadadacabcacacdcaadbdcdacddbbddccabbdddbdabbbabbdcbccca
+ccbccdccaabbddaddccdccbcbcbaddccdccd
+dbdabadbddbacbaaacdadb
+cdadcbabbcadbccaababcccbcbbacbadacbadbbcaacbadabaacbcbdbadbcadccaaaccdcaabd
+accbbbaabbcdbcddbaaaab
+bccbbcbdccdbbaaccbbddabbbbabbbbcdcddddabaadaaccdabbbadbbbacaadbcccaddddcadbabbdaadabccccaadaccdaddbdbbbd
+cdadcacbbacbbcbcdaaaadabab
+ddbbbdcccddacaacdadabcccbdb
+adabbdacbddbcbacdbcabdabaaddabbddddddaabbccaadadacbdbccbccaaddccbbaccbbddcdadddb
+baaaacbddabdcccccdcadccccadbb
+addbddbccacdcaabdcabbdddadababdcdbadacdcdcadcadbddddbaddabbcabadddbbacaaccabc
+cdbabadccacbbdddccdbcaccadbbacbaacdbdccdbcdbb
+abaadcbdbabcdcdbbdacbadabcbbbdbacdcbdccccaababcabccbcdacaadbaddcbcbddadc
+cccbdbddaadaccdbcbabcbccbbcbcdccacbdd
+ccbaabccccbddbbbcbdddabaccaddbabadadcbadaaadbcadcacbbddadaaaddadbbcbddadabdddabcddabbdcdbbacddccdaccb
+bdaddbdabaadddbbdc
+bacddcdcaaaaddccddacdbacdcdbddbcdababdaddcbccaadcabadbbbaabbcbccbadcdccaccbdaacbaaaaaaddb
+adbaaddcbdbaacadadaacdbcaabdabdcabaabaccda
+daabccacbccaadbbababaacccdccddcabbbaddddbbbbbaddcbcbddbbdacbbcdcdcbdbaadbddccdaabacbbdcbaabadcaccbdddaababac
+cabacacabbcdcccdadddbdcadccddcbccabbbddbadaccbdccbdcdcacbacddddbabdcadabbbbbcbbabbdabbdcaaadddbca
+bccdabccbbdddbbadcbdadddbcbcdbdaccdaabdcadacabbcacdaaacaaddcdcdbbadbdbcbdddbccdaabdb
+adccacbcacdd
+ddaacbbacacdcdbcacbbbbbdabcdabbdbdcdadbdbaabcababbabcbdacdaadabcbdaaadababacdcabdbdaddcadabbcbdbdaabcda
+aabcdddcaadabaabaccbbcacbbbaddbadcdbbccbbadaabaabbbcbccccbbbcccccbcabcdbcadbbdcbbddcdacbaaacccbcbdcaca
+aacdcdabbcdaacdcbcdbdaddbadadccabacbdbcdcccdcddcbdacddbc
+cacaacaadccdbbabbdadddaadabbd
+dabddcddcbdcaadacadccadcccccadbdccdadbbbabccddbabcbbdadabadbccadddabdbdcbabbcbdacdacacacbabaaadbbccdcaaadcd
+dbcacdddaacdbdabadabaaccccbbbdadabaabcadbacbaaaadddabc
+addadbddcaabaad
+adbbabddaacbcbaaddacadbaccacaccbdbdadaddbaaadbdacdadaadadcccccbccbaadccdcddc
+dbcdabadabbddbbbaddcdaacadaadabdcddabdccabccadcbbcbccdbacdcb
+cbdcdbabdcbacaabaabaacaaacbbcabbcbabbcbababbdabcddcababbabcddcabcddacbbabbbbaccbcbbccddddadabcdca
+dcbaddbccddabdadccbcbcaaadddaabddaccdaccbbcacacccacadacbdd
+abbcbdcddacacccdbddabdcaaaacdccdabab
+cddbcbcbbbcbdcdcacddabaaddbdacbbbda
+acabcddccddddccadabadabccdccaddddacbcabadbccccacdaacbbddccbaaadbdcaaaaabdcdaadacbccaddaacdaabbbda
+cdddccdbccdadcabddbaaabbadacbdbadaddabddaaacdbbbbdadadcbccadcabbaad
+bbdadaabbacddadcaddccabbadcbabcaaacdcccbccccabdbdacbdac
+cdbaaddbbddaabbcdbcbbaacbccdbbdddcaabdcccacdaccaccdbcbcbccabbbcdc
+ddbbcdcddadcddbbcbcabdccbbcdaabbaabddbdacadbbcdabcbcbacdbddacdaabbbbbcabddcbcdbacad
+cdddadacccadbcabb
+dadccdcdbcbcdaaaaabdadabadccccbcbdddaaabcbdbadbadaddccadbdca
+aaadcadbcdbdbbcacabdbdaccbbbacbbbdaddaaacdaddddadcabcbbaa
+adacbbcabcdabcdbadadcdbcbbddbbdbaaabbbadabaabaabd
+cbcabcddbbdaabdcdddabbadbdddcaacaacadbabcbcdbbddaabbcdcccbdaccbddadacabaddcddbaaaaaabcbccbddbaddddb
+cddbcddaaadbdcbdcdcddabdcdbabadbcbabdacbcacdcdbccdbddaadb
+adabaccbbbcbbdadbaaacacddcaabdddbbadcdbdaddcadcbcbabbbadbdaaacddbbdacadbbcddcddccdacbddcbabdcddbaccdbaaada
+aadaaadbdad
+daaadbbaaccbdddcabdacacccbdcdbbbddccbabdb
+dbddcbbaddcbbaadcaacdddcbbadaababdbbaacddddabcddadad
+bbacdcbbbdbcaccddcabddadbccddcccbcdbcccbcacaaccaaadbbdbccdaccbaddbcaab
+dccdacdbbcabddaadcdadbcbcdbbccbdaddacbdbadcaddddcaacba
+daddcdcdcd
+badddbacabdbdccbdbdccac
+bdacdacbdcdbdbdbdbccddbcbcdddaacbab
+bccbaabdaccccca
+ccddcdbbaadbdcbdcaacbcccbcddacdabcbddabcdabadcbcbdacdadccbcabadbdddbadaddcdbcbbcaadcadc
+bbabbcbaadddabbddbddccacbcdadcbcbdbacbaabcbadabcbacadbacabbacaadbbcabdbacc
+dbabacccbcabdbbbaccdadadddabadabbdaabbbaccdbddcbbccdccbcbcabbdaabccbbdaaadacbddccdbdacadaababb
+bddbcbbcbdbcacddddddcdddbbbbcdabcdbabcccdbaddadbccddbaddbbddc
+bccbdbabccddababdbcdadbacbcdcadaabdcbdcd
+bcccbddbcdacbbadbcdabcbcdbddbcccaabbbdbbbdcadcbb
+cdabacdddaccbabdaadcabdbcacaaccbbdabbbbdbaabcbcd
+bdbbdaadacdcdbcbcbdaabadadcadcacbdabddacadbbacdcbcbaadcabaccdcabbbbbbbbdcccbaaadbcacadacdcddaaa
+babbbbcccabdadabdbbbdadadbcbcbdccaccdabccadbdbdbdcacbdadbcdccdababccc
+acaddaaacabcbacadbbdbbdbcbccacaddadcddbdccbdcbadabdacdabdbcbbdcdbdacbdaabdcbcbcadaccddddbbaddcddca
+ccbcdbddbbaacdbabdcdcdbcdbaddaacbdcadbaccdbaabacbcabdacbbdcdbcdbabcadadbcbaaadbcadc
+cdaddcadacaacdcbcdacbd
+bdccbaddacdcbacdabadabbcabaaaadb
+dbacdcdbcadaa
+cadaccbadabdbbdcab
+adabbccdbaadcababbdbddaaccbadbbbaadbcbbdddcacddadcadbcbbaabbdaaadcababccbbdbabcbbcbcadccccbdddadbcdbcdd
+dbadbcddabbbbbbadbcbcccbcdbaabcacacbdaab
+dcdbdcabdbabaddcdccaacbddbdcddddcaccabdccbdcaaddadbacbbbdacaccaaabbdcdccaaadadadbadcbcbccdbcbcddbcda
+bcacccdbadadccbdaaddc
+abdbaabccdccbccdb
+adccdadbcaaaaabdbaacbdccdbacaacbddcaacabcdac
+dbbaddaccbbabaaabaddbbbdcabdbcddaaabadbbdbcdcadbdacdcacccbabbcddcdacbabdcdbcdbbccaacbdadaddaadadbaaddcbaba
+cdbacdbcbbaccdcaadacac
+cdadcbacacdacdbddbdbdcbacaabadadaabbccdcbbcadcabaabcbccbabbbababcabadaabcadcacdaadcaccabdccbcabcacdbbdbb
+acdadaccbbbbccddccccacdbadccccbbadbbbcbdadbca
+daccbaadbadabbcabaaaacbdbacddcdcbbdbcbadbadcac
+bacdbbdcdbbbddcdddbaacababcaddcbadbbdddacbdbbaaddacdccdbcddacddccabababada
+cadabdbdcca
+bdccbabccbdbdacdadccdcaadcdbbcadaaadaccddbaadabbadbdbcaccadbdcdabbdbdcdacbabbabddbbabbbaadaabbbddcacbacdaac
+dbdbcabaddcccbdcbdcdbddbcccabcbcaaabcbbbcacbacaaacbababacabbbdbcbdccbcdddbbcdbbdadabccccbda
+dcccbadddbbdaadbdbcbcbadaaabacaccbcabababccbacddbadcbcabbbadbcbbbc
+cbdcaabdccdbbaabdbddcacbdbbbddcbcbcddccbcadcccdacadbaddbccdabaacbddacaacbcdcddcdacaccbbccabcdc
+acaaadbdcddbbdbbccacbbcacbaadcdababbadbdbdbbdaddda
+adcbaddcdbbbaddcaabcaacaddddbdaacdacabcacdbdcccadaaadbdcbccabcdcaabbcaddbbdbaababaaccbadddbdddbddac
+dbcddccabbaacdcbaddbadbdbaadabdacbdbccdbbccbdddadcacddd
+dcadbdaaaddcabbdacdcaabdbacadbcbbadaadcdacccdccdabaadbabbac
+bddccbddacaaaddcbbaaddccbab
+ddccaacdbbaccbcdddabddcaadba
+acdbaaddabdcbadbcbadbadcaacabbbabaaacbdddbdadabdccacdbbcdcdaccdbadadbaabbccacbcdacccdbccbdbbadcacbdbcbadddda
+bbdcdbcddadbbdaaabacdabccdbbcccabbdabccbadabaabbdda
+ddcddcacccbccdacdcbccdddccb
+dcccbbaaacadaacdacaaacadaccda
+abbadaaacbcdcbadabcbbdcddacdadbbbdabdddaabddccdcbabadcabd
+aabdcaabdccaabaabccbbccbbdcbadaa
+bdaadccccdbacacddadbbcbabaddccccbbbbdcbbcaadacdbcbb
+bbbccbabbcbddacccbaaadabcdcadddbabddaddacaddbbbbdbcddbacd
+bdcdbcabcaacccadcaccbaaadcdbbcabaaaaadbbcaabadaddbaacbbcdbaddbddbcbadaabcdcddcbdabddaadcbcdbacc
+abcaacbaddcabaccaadcaacdcabcbdccbbbbcddadbbbabdcddcbbcdcccaacbdbda
+70 3
+badcbcccdccccdcdbdcbcdaccdbbaadbaaddbbccdaabdbdbadbcdcbcbbc
+bdacdbcdadabacbacdaaaccacaadbacdcabbabbacadacdbdbdacaabbababad
+abcaaabcdaaaddbadbccbdadcaadbcaacbcd
+aacbdddacdacbccddbcddcdbccbaaaa
+bcaacbcacbbbdaccabdccddbccdccdaadaabaddcbbbcacbacdcaccdcbdcbdbbbbbcdbabcdabcbdaaadbdccbcacdcadcac
+cbbaaadcdabdadabddcbddcbbcdbdaccbbbaccabccdcacddddbbbcdbdbadaadc
+bddccbcccdbad
+baddccbcbd
+abbabbcbbbacdbccbacadcabbadcbdbbcddddaaccabbadbcaccbacdddadacabcdaccdccdadbdaaccbdabdcbcbddcaaadabbdbbbcdccd
+baaabddcbcbbaccaadacbaab
+cdbccbcbbccdbbacaab
+abcaadcccaacdbbcdbdacacacddabcadbbcdbbcababcadaddcc
+dcccaaabbadccdcbdbbdbabacdbbaaaa
+cbabcdddbcaadcbcccbdaaaabddccddddadbdcdddabbab
+daabbdabdcabaaad
+dbbdcadbabacccbcbaaaadbddaccacdccdadacabd
+bccababbddadcbcbcacbcbbdaaccbcdabccaabbadccbcabaaadadccbbdabbadaacccaab
+bcbdbdcdcdcdbbaabbaccbdabacbbcacdcbadcbacbdccccabca
+ddababaccdabadbbcabadadcdbddadbdaccaccccdcdbbacacaabcdadbbabbbbdcdabaadbccaabcadddbadcaccdaccdbabaaddbbbdccc
+aaaabcadaacbbcbbcccdaddbccbccdabcbbcaaaacdcccdbacccdcddbcaccdadc
+baaadbbbbccaadbddcabdacbccaccbaccdbbcdabcbcdbbbdbaaabbbddadcdcdbbdcbcbddbdabaddbcaaddcdcaabadcabdacbbacd
+bbaccadcdbaabaaccdddcdca
+bcaabadbbbdbaccabacdaddabcacabcadbdcaabbdddcddbdbdaaaccba
+dcacdadcbadddcdaaaabbdcaadcadcbbaaaaccbdbbabdabaccbcbcbddadbddccbac
+cbddadcbbdcaaccbbcdbbcbbdbbbbacadbbabadbcbbcbbb
+ddddbdabdcdcaabddacbabacbaaaaddbccddbdaaaaabacbbdbaccccdbacdadaabbccdbccbdbcbcdaccacadbccbaddbbbccadbbdabca
+cabadbcadbbbabcbaadaaad
+badcdddcababb
+daaadbdddbacccdaaacccbdcdcaddcbbcbcddabaaccadcdbccdcddacaadccbbcddbcbbaba
+dabdacbcbaddbdcacaabdbbbccbaaaacbacdaaaaaaaddccdcdcbddbdadbadaddbdcacbcbbadcaadaccdcabacbcadadacccaddcabda
+ddcbdaaabcdcccabdaaadaacbbabdcbdabbaccddaabcdbadbdcabbddcaaaccbbacddbdccaabdadbcdb
+ccadcaccbdabad
+abccddabccabddcdbbdaccadbacaadaaaaaadab
+abbcdbbdddcccdbdcdbadcbddcdacdbadadabdadaddaacacaaabddbdcbbdbdadacdcbbcaddacabcbcbbddddaddacbbbcbbcb
+bbdaadccadcdbcddadcdacccabacbabcdaadccbcbaddcbcadddabcaaaa
+acdddbcaaccaccbbdcbdabbacaaaaabcaccadcbbbddaaadaac
+ddaadbaddbccbccdbbcddacdaaacadaaaacbaacdacbbcabbbcabadcdcabdbcddcdbbcabb
+cbcaacdcaddcadcbbbdcdcabbdccbaccaabbdddbbdaacdacaddbbabbdcddabadccbbbbbbcddaabcbcacad
+addcadddbdbdcacbbcdddcacbccbbcdcddccacbbaddbd
+adcdcdccbdaadbabccbabbabdabcadabaadabdbdacddddcdcbbccbcacbccddcccabddbabaccdcddadcdaabaa
+baacadddddbddc
+aaabcbcbadbadaadccbabbb
+dbadaaabadcdbcbcddcdbaacacbbcbbdbbadacaabcccdcdbbccabddcdbd
+ccbdcdbaaabdaaadcdcabaaaddddcdaadacdcdcdadabcacaaccbcacbcdabbba
+acbddbdcdccdcadbdbcba
+aaddccbcbddbacdaddcaaaabaa
+bbbddcaccbcaacbbbccadadabdbadbbacbcbcbdcabbbbbdaccbddbcccdabdcaaca
+adddcacadbdbabcdcbbcbddbaaddbacabbaadbccbcddacaaccddaabbbabbabadbdbddba
+aacdabcabbcbbcbcccdbadbbcdacbcbbcbbbaaddbdcacdddbadbbdbadacccdaccacddccdbabccbdcbcbcacdda
+addccdbaacaaddccabcadcabdbdbaddcaacccccbbbaacccaaacdcdabbbabbcdbcabddadddcadbadbadcabda
+aaaabbdbbcadbcdbadccacadccdddaccababcabbdbbaacacbaabdbbcabdbbcbbccacacbdda
+bbbcbabccbaacdbdbaababbcbbcccaccbbacbcbaacabacbccccdaacbdccacddbbbdccddbabcd
+dbaccbdcdbaccac
+abdaccaaccadadddbdcbbabaababdbcbbadabcadcadbbbacabaacabdabdabbbdbcbdbdaddcbdbabcabdbcdbacddbaaadca
+ddbdddbababbcccbcacdadbbbcbdabbdccdcacdabcccddb
+cbdbdbbbbcccdbbccdaabdcabc
+dbddbdbababdcbbdddcdbbc
+aadcdcabbcdaabdbcacdcabdddbbcbdcbacabbabdcddccadcaadcaadbabbcccdbbdadbbccbbaaddbdbdccbbcccaddbdaacaccdabcdd
+bacabccbdddccbdcbbccadaabaacccdbcdaaaaadccabcaaccbcacdadcbddccdccabaabccd
+bdcdbcbbbbcabccbbabadccdcdacbbbaaaadcadcbaadcbacccadcabacdabdddbdacaacbcbddbaadacbbddaddaa
+bcbdbadbaccbbcaacbdaccadddacb
+ddccbacabbbdcaacaccddddccbabbaabcddd
+ccabdcadaadbaaabdcdabcbbbaaccbbdacddabbaadbbbcaadbaccadbbbaddbbcbaadccddaddadbad
+cddbdbacbbaccabcbcbddccdaabbdcccdbcbbadbcdadcdcadbacababcb
+caacbbbcbcaaddbacacdaaaccdcdddbaacbbdcdbcdaadcabddaabbbcaadabadcbaddcdcbaaccadabdabc
+ccdbdcaddaaccbbadacdadcdcbbcddcdcaddcbcabdabbadcbdbaaccadc
+cdbbacccbdcacacccbabacddaacaccabccdbabdabcdbcadcaaddbbbbbdbcccabddcdcbbbdccdcdaddd
+ccadbdbcaccacdddcaddcbdacbababccbadbdadbcdbcbdbaaccacdcabcbdbdbcbbddaabcdcbbbdbaaddccdaddcdddbaaaadbabb
+cbddcaadcbdbbccdbcdabacadcaccabbdbcabda
+aadacdddbcdccbacdbbabad
+237 215
+aababcabcdbbbabacadabdbaaaadabddddaacdabcdaaaddbcbcabdddddaadbd
+adccdddbdadcccdababadbdcbccdcdcabdbdbdbbcbbbcaccadbcccbacdccababadddbbbbddc
+aaccbbbdddaacdcdaaacbddcdbdadccac
+bacdcccabdadcbadadaaccdbadbbcbaacaabdcaadbcdbbcaaabdcddcdbadaacdddadbabccbdcbcbbbdbadadddbdd
+adabdcbbccdcddbbacbcbcab
+bbccccaaadcbbaadcccaadccaacbaaccdadddaabbdbdbacdbbddbdaabccabdcacdbaacdabdcbccdacbbbdbdddbbaaacdbdcbcabbb
+dbddcbcddccacbdabcaaabccaacadabaddccddbbaccdbdcdadcccabcacacbdcbbdbabdabbdbadaaba
+bbbabacada
+dbcabcddbabccabbcbdccccbbbdcdbbcbbaabdaaabbddbadcbdcbdbcdcddadadddacaadbdabdbbaaadaabdddbadadbadac
+dddaacaacccaadabbdaacadaadcacadbccdcbdcbbdbcdbbdabba
+daddbacaabbadbacdcaaccddddd
+ddbaaacdaabddbdabccca
+dadbbcdbaaabcadbcaaadccbdcadadbdaddaddcacdcadbccdadcbdbacbdbabccdb
+bbdbddccba
+caccddadcdaddcbdabdabdabdccbababccccdabdcdaddcadaacacadddabdaaaddbcdddbbaaaaacaabbcba
+cbdacbbcbbdadacadbbdccdbbdcacdcaabddbabbcccdcbdbcda
+daabdddbdadacabacdcbcdbbcddbdbccabaabdabaadbaddcabbdbbcdadadccbacbdbbadabdcddcdacbadabdcaacaddbabc
+ccbaaccadcbbbadcbdbdbcddcaaaaadcdabcdbdadcbbbddcbddbbbdbcbbdbdccbaacbca
+ccdbccabbbacaacabcabbbddacacdabacdacddcbaadddcbaccbdbcddaadcdcadcdbcccdbdbbacddbdb
+cbbacabaabcbabadacaddbadbcabccaadbbcdadbbadbaccdddddccabddcbaabbbbbccabdcbccaacabdadbdadaaadbbbdccbdbbaacbbdb
+bbbcbdbbbcbdcaabaadccbdabcbad
+adddabdccbdadccdbaccadddabcbddbcaaabcccdaaddbddaccbaabaaccbacbccadddbccabbcabccbabcbbbadaadcbbacbcbabbdcbbd
+cbdaaabcbcddbbadbcbdaccadbaaccbbcabaabcdbbcbbddbbcdaabdacaabddadddbdacbbbdddddbcabbdbcaadaacdaadcbbcaacdddb
+cddacbdcbaadaabdbcccdabcdaccccbcbdaddbaadcdbaaacaccbabbdbddcdccdcbcbdbcdbcbcabadbabbadabcbbbaa
+dacabbaccbcadadbcaadacb
+dacbccdaaacadbdbcddcdaddaacabddcbadabcdddacdddcbaabdadbbbdbaccabbcacbcbcaddabdcaadaaccbcccbabccddaabbbbdcbcd
+dcbcabbdbcdcacdababbaba
+bdcbccadadaabbdbacdaaadcaddaccbcddcdbcdbbccdaaacabacacdadcbadababcbb
+bacaadcdccadbcbbccacbdcdaabcdbabacdbbdbdcdbbcadbcdddbdabadcddabbdabaacbaccdabc
+adabbbbdcbadcbbcadbcadbabbcaabbdaabbabad
+abbdabcbdbbcacbdcbada
+acaadccddabccddbddadacdbb
+acdcabdaabddcddcadaccccdaadacdddbcccabcadbbaddbbdabbcabbacbccadccbbabaddccbccdd
+bdacddccadaccababddbcadcccbbaaabccdbcabbdbadaccacdbcaddcbbcccc
+cccdbbcdabccbabdcacbbdccaadbccadaaadaddbabadccbaaddacabcccadcabdbcbdcbcbdacaadadcbddbbadadddbcbdbd
+aadccccabacdbdabdcdbdccbdbbdbdcbddcbddaddaacdcddbabcccabbacbcccddaadbabaacccdcb
+cdddbcbdcccadacbcdbabbcbbabbbcdccaaaaaddbcaacbddcbbddbdb
+abcdcadadbcdbcdcdbdbaaadbbabdabaaababbcdcadacabbddccbdbab
+bcaacdadac
+cacbccdbadbbcdcbaadbbcbdbbdabccdddddddbaccabbdabbbaaaaccaddcbccd
+dccbbadcbac
+ddddcccbcaccbccaddbbbdddddaacaabcbbbbbbcbdddacaddabcbbcbadcdabdacbbaaacadcd
+dcbddcaaaadbccbcdddbdadaacdcdadabcabacdaabbbcadcdbccbcbabdadacacabacdabacbcbcacccccdddabaacadccbdacdacbbab
+cccbbbccaddaddcbcddabcbaaabdabcbcaddddaddadddacdbcabdcdabbab
+acdacaaabdacaacdcdbaabdbdbcdcbbdaaddbcabbccacbdbacacccdacbddcbbdabcadccddcdbbabcbcbbbadba
+cadaadadcadcccdcbddbabaadcadbcacccacbcdaccacdcbbbabdbddaaacadacccaaccadddccbbabbcccbbda
+caacbdcccabadcbdbddcdacbbaddcdbddbcbdcdacbcbdbdbbdacdcbaccaba
+cdcdabcdbcbabbbadbaaacabbcdddaddcaabacbdabbaddaacdbdacdcbdaabbbdbcabbbcacbacababb
+aaadabddcaadbbabddcddcadabbacbcbadaaddaadddcddbbcacbcaadb
+abbabadbcabcdcabdcaddbcdccbccadadaaddbaaaabbbacddcbdacdabaccbdacbbdcdbdbccacbbcacbbb
+dbcccdadbcbcaaacddbccaccaaaacadbadacacbabbabddabadddcbacbaaaabbddbbbcbbbaaadbcbbddaacaaddcacbaddcaacbddbd
+aabbcadacaadcaadbdbdbaadbbacadbabcccdacaacdadabacdbab
+bacbcdaccaacddcdaaacdaacadaabcbbcaadaabdbbacbabddbdcdcacbcdabcaca
+bdaabbdaabad
+ccadabbccabcbbccdadcdcabdbdbcddcacdcadcbadababdd
+bddcdcbddbdccbacadcbdaaaacdbddbcddccacbdddcbbacbcadbbbbbcccaccadbddaddbacdbdbdaadd
+bacbbdbbbdaab
+bddadcacbdcdadcdadbcbdaaabacacdbbbcadbddcddaaabccbcdbb
+cacbaaadaacadbaacabddcdbbdbadcccccabdbd
+cacabbcadcacbadbbcccacdbdaccacbdcdabacbccdaaaacbccddaadcbcaddaccdaaaacbababadcdbdccbddadbccaccabddddbcccc
+bdbbbcddbcccbacbdddddbcadcaccabdccdadcdcacbccdcacddbcbbbdbacadbcbcacaacabdaabcaabccdccbacdadabcccada
+cbbbddccdbbbcbccbcccbbdbccbbdddadacbdbbaabbcb
+dbacbdbdbddadbbaaddadcadbcdaadaacaadbacbdccadbbdddccbcbdccdddcdccccabdbddabbbacab
+cbcbccddccabcacacdcdcaccccbbaaccdbcbcdcdbabcacac
+ccdbbdbddaaacddbbabcc
+cabacddaaccabbdadcddcadbbccdaabdacbcbbaddadacadcbcadcacdbdcbbddcdadbbcbdbadbcdddcbcbdaddbaacba
+aaccabbabbbacadbcbddbbdddcbcbbbbdcbccbcdb
+cbbbdbbcadaababbcdcccccacddcbaacddadcaccaacaddacdbacd
+ccbbbcabbdb
+bcbaddacdcacaaddaddcddaaaaadaba
+adbcccdbdbcbdbdcadbacdccdadcccdbabccdccccbdbbccdcdbdaaaaacbdbdaddbcadcbcbba
+aaddbcaccc
+bcbdbadbbdcdddbaaabcdaadbbabdcbdccadcddaabad
+bcdcaadaccdcbbbaadababbdccdacad
+abdabbdccbcadcbdbdabdcadbbcabbaaacdabdabadbaadbccaaddbdcbbcbbbadbbdacdcabbdbbbbbdbdadadbcbaddabacdaaaadd
+daabcbadcbddaccabbbcaccbdddbdaddbcdcccaacaabcdddcccccabcdbacacdbacbaaaabcabbbcbcbaaabbbbac
+ddcddcbbdbadbdbcdccdabbbbadaaccabcacdccdabbdbcbbacb
+bcaacbbabcdbabacabbacacbcdadaccbddbcacdcadaacbcacacbbacbaaccdbadddbcabd
+caaccabaacdbcddccbbddcaabbabdadabbdbccccabdacddcbaabcaaadabbbadacabccbadbdddaacdddcbbabcdcdbacdadaacaccacba
+bddaabadcbbbcdbcccbcdcadbaadbbabcdcdddbbbdbcbccbcbaacacaadaaccdccadabbcadaadbaddcabaacadba
+dbbbacccbabbbcadcacbddabbbbaadddaadbdadcaabbabbc
+dabdacdbbdccbadbbbcadaccddacacbacbabdbaccdaccabdadaacaaadacacaccaabcaabcdaddcabdbddccdcaca
+bbdbabaddcbdbaadcacaabcacacacccddbbbaabcdcadbdddadda
+cbdbcacbbbbcdbccccbabbdabcdbccaabaadcababcbabcbbadcdddaccbdbabbbddbcdddcddbbcbddbdcaacbbcadbbbacbbdbabdc
+bddcadccaacbbbbd
+cdbcdababbbbabbcdbdacbdabcadcddadbcacabaabbaba
+dcadcdcabdaadcdad
+bdabdadbbbbdacaccabbada
+cacddddddaacaaadcccdacdcccacaaabacabbccaddbcdcccdbabcacdcdacaabbacacaaabadcacaaabcc
+acabadaabbddadcdcaaabdcbabcabadddbcdcbaddcdbddbd
+adbdbabdaddcbdcdbccacadcdbabacabbcbdcbdcbdbbbddbcccbbcccadaabbddbddbcbcca
+bcadabcbbacbcdcbadccabbdbabcbaabbbabcdaadabacdbccbdbabcdcdaccaac
+acaccbaaadcdddbbacbacddcadababbacdddbdaacbccddbdbacdcdaccabbcdccbaadbaadaaacdbdcaadbada
+cacbdcbdbccbbbcddaadbccda
+aadbbcdadadcdcdbbaccabaab
+cbcbcbcdbcbcbbdabdddcdbabbbbcacccbadddcbdcacbbaaccdcbdacaaddcddcdbbbdbacadabcadcabacadbdbcadbbbaad
+ddbabdabcbcddbcdaabdb
+caabdbcbaaabcbcacaccbcbbbdcbddbaaabbbaababcabaccbccdbdbdcdadcaadbadabbbadbadbaa
+dbadbcdbddbdcbbabcdddccdcbadadcbabdcadacabcccbacacabcbdbdadabdcacccdbbacddacbcadbcddbaaacaaccbda
+dbdabdcbbadccbccdbbcdabaadadbadcddcaddcadbabdddabcdaacdbcbddcbbcd
+bbacbaabaccbcaddbcbbdccaadbdcccbdbcaabcaacaabccdccdaddbbbacbcaddbdbbbdbacadb
+cabbacbaaaaacbbddacbaccddcccaabcbcccbdcaaccabcbadadbcdddbccbbbacddccdacbaccddaacbaaaacbddcabacacdbdaa
+daadadcccccadbcbddabddcadacb
+ccbbaabbdccaaacddbdcbcdbdcbdbbcddadabadccadcdaddaaacbc
+bddbccbcddcabbd
+ddaacacbcbbcaccdadbabadbcabd
+abcbbddbccdadadcbadddaabbbbdcdabadbddbbabadcbdcdcddccdbbbdbbac
+cdaccbddaddbacbaaddaabbadddccbcccbadbacbdacdbbacbccbadb
+cbbcbbcadaaabddddcbcdcbadacadbcccbacccdccbbcdcaabccbdcccbcbadacaddadbdacbdbdcbcbaadcad
+baddbdaadbabcadccdcdcdddbcacabcbaabcb
+cddabcdddddcbcadcacaabdbdbbacbadbdddbaaccbcbdacdaaccddcdccdbaadddbaabcccddadccdabdadbbcabcdaacaacadcccaaabb
+cadddcddabaacbdacadabbbaaacdbaadbbdacbcadcbbdbdacdaadccbccabcbdaadabddbcdbcaaccdddbdacbaccdcbdbcbcadcacaccdb
+bccdbbcaccbabcbdaacdbccbdcaadddddaabbdddcbaabccdbadbddcbcac
+cccbadcdbdabcaadcccaacabdbaaadababcacbadbaadaababbbd
+aacbbcdccacaccdaadbdbacbbacbacdaabaaaacadbdccbcdbab
+adbdbbcddacbbabcb
+accbcbddbaaddacdddbbddbbbbbbbcdaccccdddabdcbaaacbadadbdacdaadabcbbacaadababbabbccdbdbadcaacadbac
+cacbbccadaacddcdcabaaaacbdaccddadc
+dabdbadadcddbdbbbadcabbacdcaaacdddacadbcbaacbdadacacdbcccd
+ddbcdaaabcabaddcccdcadacaadbbcbddaddaddacccbbcdcacddacbddacdbdbdbcabbbadaacadcdaabbbaabdddcccacaadac
+dbcdaabaadaabbbbccccbadbaddadbbaacbddaddaaabdbabaddbccdddcbaa
+dcadaccbabbcbddabcacaaabbdccbadccdcbdbdaccadaaacaaccdbababdddbccdaccdbdacaccbad
+accaacbacababcacabbdbbdaaac
+cdbccddaccbccabbbacadabd
+bcdddabcbdddccacbbaadaadabbcacdbbddabdabaddaacbaddabdacadadddac
+bcacbdabcdaabacdadacdbadbcddaaa
+acddaadabdbcbcbcdbabddcddacadccbadcccabdddbbbdadbddcabbccacbd
+dddaaadcacddbdbacaccabddddadcdbaddbacdcddbaaccadbbccddcdcdbcabadadaabbdbcbdbccbdcbaccacdbdbabbbbcadaaccadaaac
+aaaabbbaddbbdabdcdccbca
+ddaddacdbccbddbbabaabacdbbdcdababcaabbccbdcbdaacbbddcacaaadbbcdadbcbcbcdabcbcdcdaddbdccbad
+cbcbabdddaadadaddacddccbbcdadaaaadbddabbadabccbbbbbdadbcddbddccbcadaccdaabababcb
+cababbdcaadbabccccdbc
+ccdbbacbbaaddbdbccccdabcaaadbdddacadbdddccbccbbbcdaadbadbbcabcccdadcbbccbbcdaabcbbaabdacdcadb
+bcadddbdbbaadabdaacabaacbbcabddadcccbd
+bddcdbbccbbdbcadabcadcbdddbdcabcddbabdaaabcbcbddccbbdccdabbdaaccbbabdaabdacdaddbdadaaabdacacccccdadcaa
+badcacbbdbbdaaabbcacbdbdbaddadacaadbcbbadcbbdacccdddcd
+dcdbdcdccabbbcdaaddbdbaddadbbabccddacbdddcdaaccddbcddadbabdddbdcbccccabadaccadaacdabbadbdcadcbabcc
+acabbddaabcbdbbdcbbdccaacaadcaddaddbcaccacccbcaadbdabdd
+cbdbbacddaadadccaaadacbcdaaccacadabdcabddaaabdbdadbdbdacbccccbdbbdabcdcbdcccabcc
+baabdcdcdaacdbddacacabbcdabcddcccccddcaaadbaaabaacdbacdbadcdccbddccdaadbabbacacaadbcddaaaccacadbbbddcbcbad
+acbabdaaccdbcdabdaadcacbbbcdddbacdcddcdcbbbcdcdddda
+bdacdddcabcddbcacccbadcdccacbaaabbcdbcddbddb
+ddcdbacaabdcbcdcbdcbbacadbdddbabacccdb
+acbadacdacccdcaacbcdccbcbcdabcaddacccddbcbdddbddbacdabaaabbdadcdcbabacdaaaabbbbcaccadababcadbabdbbabacdddd
+acdcbdcdbbaccabcbabbbccdadabddaabdadddaccacbcddcbcdacbbcadbdcbbbcaccbcdabdcadcdddd
+abaaccbccdabbc
+bbbddabccbadc
+dbcbbdadcabdbdabdadcabbbaabcddabbaabcabdddcabcabccbdacdaabdddcbabdccbddbdbbacdbcaca
+dadaaaccbaadccacabbbc
+dabdbabdba
+bdddbbddaaacdaadccbbdaa
+caadbaaadaacacdaacbacbdcbbccddadacaacadbbbacacbdabcdb
+dcdbbdbdbddbddacbbcbb
+badbbcbddacccaadababcaaadaccbbddccdcc
+acbddbdcddaacdbdbacaadbdcdaadccaaabccbbddcbbbdacababcaabcbdcddaabdabbbcbabbaaacca
+bdbacbadaacaaadccdccdcb
+cacababaaabbcabbbabbcddcadabdcadabdccbaccbbcccdaccbcbdadcbdcdbcddadbbdabcaabccddabbaccdbddbdddccbacbdcd
+bdaaaccbcadcdbbacbacbbdaabcddbdaaadbbcba
+dcabdbcbddabcacbdddcdadcaba
+acaacdddbcbbdcccaddbccdabaccd
+cccdbddaabaabcbbbc
+cdccaaaabdaacadcdddaabacadbbccbabaaaddccaaba
+ccadbacaabcdbbdaabbadbdacbacdbcdccacbaacbddaabd
+cbbbbcabbbccdabdbbacdbdbcbbbadcddbddaabdcddaaccdacb
+ccdbdacdabcddaccacbbdbacacdbbcabbbcacddbcbbaacdabdacdcadccadbadbbcdcbdabaddbacabbada
+ccccabdbdbacccbdacddacdcbbcdabccaaabbcaaaccdcacdddbcaaaadaacbc
+baaddcdddbdcbcdadbaabddadabcdcccddbadddcccdaaabbdabbac
+acbabcbccbdbaccaddaaaaddbdcbcdcdaacabbdbbbacbadbdbddcccbdddddccaaddaacbacbcddbadaacaaadbacdcccbaddbc
+cdbdcdcbbddccbccbbcddcbcccbdddbbbbaddabcbdaadcdadbbaddaddd
+bacadaacabbddbaabacabaabcbbccaaaaadbdadabdaadacbdcabadcacdddbccc
+abbbdacdcddacaabccdddccbbccbdddadccbaccccccbbccccacbbdadbabcbacddcddd
+dcbbabbaaadabcacaddcdddaddaabbaadbdacbcabbdbcdaddaccadcdd
+baadbbbadbaaaabadaabadddaabdcbacabccbdcbdabcccdcbacddba
+ccbabbcdddcaaabcaaddcabddbcbcddcdbaabaddaccccacdbdaddcdccaaccbabbdbadacccbbbbcacadbaaadcbdcbcbdaca
+bbaadabbbccabc
+dddacdacbdbbcbaccbbbbbdabdcdaccdaaaacccbcccacbdbddccbaaadbccdcabcbcccddddccbbddbdbddbdcbcddbadcbdabaab
+dbcadaaccaccaaabccaddbabdacabdcdacbadcbacaacaabaccdccaaadaabccbbababcdddcbcabcbbddbbcacbdac
+bcabdcbcdaacbbdddcddcdbbdcdcccddcdaccdddabbcacadbdadaccdbccdccdbbbaabdbdcbbbbddccabbacddabcadddbadc
+acabcbdbaadadbbaadadcdbbbabbccdbdcdacddbbdadabccaacc
+ddbacaacaccdcbcdaabaabbddadbc
+ccdabcadcdaaabbaacdac
+cccacacaddbccbbbddbacdcbbcdaddd
+bdbaddccabd
+adaabbcdadcaccaaadddabddcdadacdbcbcbbbdbcbccacadcccdccabcabbbabaacdbcabdabbbcababccd
+cccaccdaabcbbccabada
+cabdadcbccccccdbbdadadcdcbdcccdadbbcacaaadacbbdcacccacaabdcdccbdacaabbddbcadcdababdadacdbdddadda
+aadcdbdbadcaccabdcaadccabbdaadbcdddcabbbacabacdcbdadaadadac
+dabcbadbacdbbcbaadaaabaacdcdbbcdccdcbcacbadbbaccdadbaaabacacacaabbacaccdaadddbaaaddccccdddbcbcbaddabcadda
+cbaaaadbbaaadabbdabbbbdadabbdccbdccdcdccc
+ddcddcdbdbaadcbaacdaabca
+cdbccaccbcbabcadacaaadddaadbabbcabddbbdbbcdccbbddbbddcbdbccbaadacbaacaba
+aaacabdccbacaaccbbbdbcaddcddccdcaabcabdbdcccbbdcb
+ddcdcaccacacabacacdcccadaccdabddabacbabbadcabdbdabaabddcdadbbadabbaabbaadc
+addcdcdbcbccadacdadddabcdcdccdacac
+bbaaadcdcbdbbabcbcbcdccbbdacdabcddbdbbddcbcaca
+bdcbadcdadabcdccacacaddddccbadcdbcdaddbddbcbbcabbdbdddcacbbaadabccabcaddbbbccbaccadadadcdabbbbcbbabccccbabcad
+dbacabdcddacdcacdacaddcdaacbddbacbaadaccbddbabbbbadbcabbdcbddccdbbbadbdbdbabaabdd
+bcbbcdbcddccdbbdabcbbccdbdbcdbbaacacddadbcbccadcadbddcdbdacbdaabc
+bccbccdbbccabcaaabdadbdbaacccbbcddabbdddbcdddcdcacaadba
+bacdbcbdacbaccb
+baadadccadaaacdcadadcdaaabbcbadadbbcabbaadbdddaacdcab
+bbbbacbabdcbcccdcccbadccccdbcd
+ddbababaccccbbbdcc
+cdbbcdbbbaddacbdcabbcbacaabbcdbddbbaaabdbcddbabdaddcaadbbccabaacaddddbaddcabccbcacacbddbaacb
+cacccddccbbdcaaddabbabdaccacaada
+bbbabdbcaaddcdbacbabaaddabdadacdbadcbcadcadcbdcbbcabaacacaadbbccdbcdccddddbbc
+cbcacdbadbcabbbbcbdcdcbbaccbbdcdbbdaacccadabdabbdabaaadcddacdbdaddabddacdbcbbdadab
+dccdbccdaadbdcacbadcaccdbacadabdccccbdadbbbdcdabcdacbccbddddbacadbacc
+adadddaddbdccdadcbabdbccbcacbdaadcacabadbdcdb
+dabccbcdabcccdbdcbcabaadbbaaddbadccbabdcbdbabaadbdbbbdbddbcdcdd
+ddbcaccddadbacdddabbddbaaaabcccdaabbcdbcdbadcddbabddadcccdddaabaaadbdcaddccab
+abcacadaaabdbddbaaaaddacaabcbadccdbccbabacdbaaccdcddbcaccadbbbbbaaccbadacaabbdcb
+cccdcaaaababbbddabdacbdacacbccda
+cccaabdadbaacdcabcbaacadcbbbbcbbc
+cdbccbbdccbdacbcdddadcabccbdaccada
+addccabccdcbbacbacbdbaababbaadbdbbaccddabcdacbbbbddcbbbccadacaabbbabdbddabbbbbbbdcccbabbbccbabaacabdddbaaa
+ccbabcdccbdbccbbdaddaaabadbabbcdacdaac
+aabadbbbabcabdbcabdabcacbc
+cbcccdccbdcadccdabacbcbcdabddbddcdcabacb
+dacbbdadbdcddabbdbbbaacbdddddccdabbdbdbbacbdaadac
+daaabadadabcccadcbdacbaadccbaab
+ccbbbdbdbbadbcadabbdadadbacaddacabdcaccdcbbcdbdadadddbcabdcddaaccabdddbddaaaaacddaacadacdacbcacabdcdc
+bbaddbcbacabccddcbbbdcbcdbdbacddcdcbdaadadbcabbcabbbaadccdbdccbbbaddaaaddcabadbdbdadcdccccddbbcadbcbacbdddab
+cdbacbaadcadacbcdaaacaababdbabdcdbbccdacbdbbcd
+dcccccbbcaaaabbdabdbbdaccabcca
+ccbdbaaabdbabacaacaabddd
+adccadbddcabacdcddadcbabcbbadabacdbbccbacccdabdbaabdaaabadacabdbcaacadbdcbdddbcdcdaacbacdabddbbcdcdaaaab
+bacaaccdadadbddbdbdaaccdcdccdbcdadcbddccdabbcbaadadaadadaddbabcddcddccaaabdadbbbbbadcdcbbcbddcadacddcccca
+dadadcdcbababddaddabcdbdcbddbbcddcbc
+dbddcddcdcbcbbac
+ccabbacbcbddacdbddaaacacb
+dcdaadbdddacbaccabc
+bbadaadadcacdbcabbccaadcaccacdadbccccccaabbdaccbbddbdcbbacbdaadaacdbcaaaabbbacbabbdaaccabbbb
+bcaadcdbcadabcdbddbcccbabacadcadcbccbdccccdcbaccbabadaacddbcbbcbacbacccbcdbdcacccadcdddbaaddcaccddaca
+aaadccbcddcaabdcabdcaadbcacca
+abbcddcbcbcaacdcaaadaaabdaaaccbccdbdbaaadbbbbdbdacdabcccadcdaccdadbdacbdcdcbdcbdabaabdbbbcdbcdadbbadccdaabcbb
+accacdcddbdacdcbdcdbabcddcaabdbdda
+237 171
+abdccacddadbcaddcdcbccccacdccababb
+bacdacaabadaacbdaddadcbadadaabcbabcbcaddbacddcacccdabcbbaada
+aadbbadacacdbcaad
+cbddbdbcccbdcdcdcccbdcddacbacdbadacbccdabacbdbadcaddadacdbadcbcaaabbadcadcbdccbddcbb
+bcbbcdacabdbaaabadcbc
+cbaadaccdddddbbcbaacdcdcaddadbbbacccbcbdccccaadbbacdbcdaaacbadadccbbccbdcaccddddcabbccdbcdcabdbaaaccdcdcadaba
+dabbaacdacaacdbbabadcddbbdccaadaddca
+acbadadbcbbcaadbdddbdbdabadcccdccbcdbaccbccaabaccbdcbabcadbcacbadddaaadbabddbdccadcdccaaadc
+caddddbaddbdcdacddabcbddabaabbbdabcbcdbacbcabadbcacabbcadcbabcaaaacadb
+ddcdabacddacadbadcccacadadabbbcbdaccadcacddaddadcddddb
+dbcccdadacbcabbaaccabdddcbcabbdcadcbbb
+acbbdccbbabadacdcdbcdadbdcdbcacccaaccbbbdbbdbbbaaadcbbbaadacbaacbaabcbadacaaabdbbbcdb
+adadbcddbbdbdaccadbabbaabdbbccddcbabddccabddaccdcccaacbdbbdbabbbacdccbcbcddbbdccacdadacdb
+bcdacbdbbbbaadddbbabaadcdbbcbccddaabbabbcbdcccbababacacdd
+bcacbabccdcdaaadbbcddaccddbbcdcbbadaabcaccbcaabbbbdcbddcbbddbdadcbaccbaacaadccccaaabccd
+cbdcdcabacabddacbcbddbdabbbbabbbbacbcdcdbbcbdbb
+dcaabbcababadcbacabcbccbbc
+badbbdabababdcadaddccacaacaaacbcacbbbabdaabccdaabaddaacacaadcbbbdabcacabaddacaaddabdcaaaaab
+adbbdcdcaacaccbcaacadcbcbbbaaaabaaccdcaacdcbbaddbccdddbabbbadbbcdacdbaccacaaabccbcbcaacbccaadcadcccadcbbadda
+aacadbddbdbcaaddcaadcbdcdccccadadcaacabbbadddacabdddacdacabbacdacddacabacabaaabbdaacbbddaacdcdadbccada
+cadcddaabbadbbbaaddddacdaabdbcbaacdabaccbadbbcabacaaadbbdbddabcddaddabddccbcccdccdbbcaddbcbacdaabbdaa
+bacabdabbdcdcb
+babbbbdacabbcdbcdbdccaacdaadcccbaacadbdbbacabcbcac
+bdbbacbbbbacadcadbddaacbcadaadcbbbcbdcdadadbabaabbcacdbcccabbbcbddbbcbbadabdbdccbac
+addacdccdabccbcbbdcad
+bbbdacbaaadcdaacacdccccacdcd
+cccddcadacbabbaabbbadaddddaaabccddddaacdabdaaaab
+badcdcbbabbadbcdcdadaacddddadabdaddcacacbaaabcacadbabddbaacabaabbadbadccbadaaaddda
+ddbabdbadcaddbdcdddaaadaddaacaaacadacdbbbbbabdbbc
+dacababdaadccddbbdbdabcaacdccab
+ccabbcabcbadacbdbacaccabcbcdccccabcabcccbcacdbaba
+dccbaabdbddaaddccaaadaaaaabdccacaccdccbcdddacbaccbadcaabcdaaccaccbccbaaadaa
+ddaadcdaabbdbaacccbbcacbbcbacdbbdbbdddacaacbadaadddbcadabcbaacaaabaadcaccac
+acdccaadaddcdcadcdcbdddd
+abcbbaabddbbcbbdbcaadacbbbcacabccdbcbaabccdcabdabadaacddddcbdcbdcdb
+dacbdabbdabdabddbcaccaabdba
+cadaddbcab
+dcddbddbaacccacbad
+ddacacccdbacccdcbbaddccbcbdab
+dccbccddcccdbdabbcbddcabdcbbdbccddbbabbbbdbadabbadaaccdabaccccbdccdcc
+dabcbccbdcdcbbbcaddabddcadacbacbddabbbabbdbbccadbdddadcbcabadcdcaaccbcbd
+cdbbaddcbdadbabcabcdcbabaccdbbacdcbcacaaccbdcbbdabdbdbaabdbdaadabdbadbadcddaabdddbdabddabcc
+acdbbdaaaaadaadadbdbcbdababccbddadcbdbdbacdadbdcabcabbbbdddd
+dcaacaadaabcbbdbdbbddbabadacacabbaccabcccaaacccdbadcadbcdddcadcbaacccaadcabacdaabbbcabdcabbbccabdbdbadcbabc
+dddccdbcababdaaaabcddaadcdbdadcbbcbbcddaccaccacbbadaabbaabadacaddcd
+badcacaaabaabdcadcacdacbbaccddbdbcaabccaddbadbbbcddbaadbddacdbababdadacadddddcaadbaacdadabcacdbbcadcaba
+bddbacaaabbbabbdcacacdccacdabdadbbbdddcaaccababdadcbcdbdddcabacdcbbcddccdadbdcaaacbbaaaddccdbcdadcabcddcaddc
+dddbccccbcbdcc
+bdcbccbcddcabbbcadccbbddcadbacadcaacadbcabbbbcccaccdacabaaacacabbccdcbdbdadbaaaabcdabdccda
+cacbcbbaaccacbcaabdcdbbbcdaadadacaaabaacccdbabcccacb
+dcccaabbbabbbbccbbdcbbcadbbbadaccbbabbaabdbdbcabddcabaaaacaadbaadcdcbacbabdbbabbbdadaaaaacdbacaabbaaba
+bddbabdcdbbbddabcbacdccccbdbddcadabdbcdabcdcabaddccaaabbaaadcdbacaacdcccaccaacccbaddaaaabbadddccdab
+ddccdcdddabdcdabadbaabadaabaababdabdcababcdddcbcadadacabbcbdcabcabddbbbddcacaaabdacbb
+dccbaabacccbacdbddadabcabcdbaccacdbcbbdbcbbdcaa
+bbdcbccbcabbaacdbdcabbabdcabcccababdcbadcdabcaadcdadbbadacdddabadcacabaddadadabdcaccdcacddbcbccbcddcaadaabbbb
+bcacddbaaadbcab
+bbdabcbcdadbaacaaaadadbadab
+aadaacbccacddccbadadcbabbdabbdbaccbabbbbdaddcbbbbcbabcadbcbbdcadda
+bacbddcaadcbbdbcaacdbbaddbdaaabacdaabbdacbaabddabaadcdbadddddcaccabbcddbdbbbacdbddaccccdcabbddbddacdcbddcc
+dcbdbadbbdaababdcddaddddbcbcdcdbbbbdbcdacdaaaddcabdbabdcbdcabccbaddcdaaccaccaadaacbbbcabaaccabbdbacac
+ddbddbcadaddabacbccdddcdbcacdac
+cdadcbcbacddcadbdacddbdbbcababddcbddbcadadbddabcccccbaddabbaacbdaacdadcacaadcdbdbcbadcbbabbdddcaaacad
+dbaadddabababbdbadbdacbadcbcccacccabbbcbaacdbdaadacdadabdcaaddcdcbbbddccbbcaacbabdadaaaccbbadbcdcddaadbc
+aacdbabbbbababccdabccdcbdcbdcdcbcdbacabaabadaba
+dbcbdabcaadaacddcddabcaadcbdacacbcbacdab
+bdbcccbabacbddddcdabcdbcbccaddddcadabdcadbaacadddcabccbaacbcccaabcadcbaccbdcddbcbccccbbccbbcbbadb
+caaccaadbbdbabaaacacbbacdaddddcacdaadadacbccaccdccdddbbdcdcdcbdddcaababadbcddaacadbddcacdadb
+ddabcdcadcacadccdacbbabdaaadcbdcbcaacba
+cdbdbcdbbdaadabaabbbcdcbacacbbbddddcbbbabbbdcdbaabdddaabda
+dbcbbbdbcbbdcdbccbdddaabacbacbabaddaaaccac
+bbdcadacbabab
+acacaddcdbcccddccbabadcdbdbaabcdccdaaaddcbabadccdcccddaadaacabbaaabdd
+baddbaaccdddbacdacdaabdaadcbdcabbbacbadcbab
+caccdcccbbcdcdaabaaabbbcbbcbddbcabddcbdccbabbabacaacddaabdabbc
+bcbaddcabcdaabadcbbaadaabddbdcaadbccadcaacdabcbbcadbadabcabcddbccdccacaabbccdbadacbcbadabbadccbaadd
+bbdaabdddddcaacacacdcdccbbabcbbcddbcbdcaacaacadbdacdcdbbdccbabdddcccaaddacabbddddccaddbcbacbcccdccdca
+bbabbddddbadbacadbcdcdbabbccbcdbddbbaaaadacdadcaadccdbcccaadbccbadddcdcdacbcdaaa
+dcadbbbacdaccbadbcbcadcacacdcccccccaddcdbdcd
+adcdddadddaaaadaccddddddacabdbababddcdcccaddcbccbbaaabcadaccdabacbaacddadbc
+dcdbcababccacbcbcdaaadddcacbabdbcaabccccbcbdcddaccbaccdaddacbbdb
+bdddbaabcbcddcbaacababcbdacabbaaadcdcccbabdabdacabcdaccbbdbabcaabcccbdadcdbdadbabaacdcacbdcacbdbabb
+aabcdccbaadcbdaaadaddbdcadbabacddddcabbacbcbbacacaaaa
+bbbcccdabaadddaddbbcaacbccaaccddbcaacacabaabbcdabaaccbcccdcdbdaddacadbdbdcbcccaaccbcadc
+bddbacadbbdcdbbaadd
+bbddacddcdacdaabcadddcaaabccdbacdabdbcaddcccddacdabadbacbcdcbadbcddccbbbabbcccbbacabcdacabbaaacdadcdddbcbcdcb
+bbaaddbdddbcdbbadaccacdcddccacadddaadcdddcadcccaaadbbdbdcacaadcbbbabcbaaaacddbcbbbdbbdadabcccdaabc
+bcabbbdbdbacaabcaddddcbbcdcbdabccdcb
+cbabbbababbacaadaababbccbcccadcdadddcdbdbb
+bcbbbbbdbdbabdbaacdbdbbcccccaadbbddadbdabbb
+aacbacccabdbddadbccccdbdccdbdacbddcccadd
+bdddbbcdadddcbbabddabddcccddcdddcacdaabcadbdaadabacbdaacdddbaadb
+bcdcddbbabbdc
+abbaccccacbadbccccaaaadacccabbccbdbbababadbbdadaaabbbdbddcbbadbdbdadb
+aaaccdacadaccdbbddddbaabdddaadabdadcbaa
+cdbdbbdbcbabbdcadabdddcbdabcbacdbbbbb
+cabbcabadaadcdd
+aabcacabba
+dbaaaddbbcbdcadcaaadccbbcbadbdccadacddcdbcaccdacabcacbddbcadabaa
+cccbbbabaaddbaaacdabddcbacacdbababcccabadaccabcaacbdcdddbbca
+adaccadacbacdabbadddcbacbacbcacdcaaadabadcbabcccbdbcbdacbadbbddccbccdcccdbbbabbdd
+bbcdcdcacbdb
+bbddabdcdbabcbdaadacddcabcaddaadaacbacdbbbddbcbabadccbadcbbababacabdaddadbcaccddbababcccaddbcdc
+caabcdbbdccccdbcccbacaaaabacdccbccbddbacacdcabbbdcdabdabbdabbb
+dbcbbbcadababbaadcdabdcadadadaadbbabcaccbbabbdabdccccacccbddcadbabadbcca
+dadddbbbdcbbabcaaadbcabadcddaabbdccacdbacddcccaccbbcbcacbddacdaccabcabaa
+bbbccdadab
+ddabbccadbdcabacbddcbccbacabddbdcabacacdcbcabdbccbddadcbdadadabcdbbaccdbbcacabdbcbbc
+bbccdcdcbaadcddacddcdcbcdadccbabdbdcccbadc
+bdbccbbacbdacababbcdbdbdb
+cbdcddaacbbbacaaaaacdcdcdadaddabcbdbaddabbdcdaccbabcbdaadadbdcbcbbdadcdaadbbccabdabdcaddbcbdad
+cbdbcccdcaadbbadadadaaccadabcccbdabbabdaccaaccaccbbdbddbdddadaadababcdbbcdbaccccdabbdadacaddcddabccbcadca
+bccabdbbbddaccaacadadacadcadbcbadbcaddbabacabaacccac
+cacddcabacbcddccbbbcabaabacbdcababcccdaadccbdabadabcdcadbcbccdcabacadaaabddddbdbdb
+cacaaadcbabddcaadbcbbbdccabdcdadab
+bdcdddbccaaabaacbabbcdadcabccabbbccccabdabbdabcbdcacacbcacbbcabdaabb
+caabbacabbdccacddbbcadbbbdccacaddcbaadbbabcdcacdcadbcccaddaacabdcbcbbccbbbacabadabcaddadca
+caddcbbbacdadbacaaccd
+dcbcccdbbbbbbaadbaddaddddddaccbcdabcadcabbdbbbbabdaddadbbccbcbbbbadbcaaacdccdcaababbacaddadbcbdcbbbbadbbda
+aadbadbbabcd
+abcbcbcbcccaacacbddbadddcaabdcabbdbdbddbddcddcaacbac
+dbdacccabdddbcbadbacabbbacb
+cdadbdaccaa
+aabacccbaacacadbbccdcacbacbcacbacdac
+ddcbbaabdaccbbabbdadaddaacaabdbdadadbccadcddddddbcddadaccaadacacacdcbbcbbdcdbcdcbb
+ccdaaccccdadabacccaadddddbcabdaabbdcdbaddaacab
+daaaabaddcbcddaddbbbcbbbaccdddbdddbbcbbdccdbcdccdbbddabccccdccdbddaddcdacacaaccdddcbbdaacbdba
+bddadaaccbdbacddbdcacd
+aaabcdbdddcccdbaabcbcabbdcabaaddabdaccacdcbddcddcbaaddcdcdabdaddacbbbdaabddd
+cacddbdabddbcdbbcbcabdacaacbdcacaaaabdaacbbdccddcaabaccddddcbcca
+dcdabcdddbdaccabdcbccadbddadcbcccddcacabbadccbbdcddbdaacadbddddcdaabdddadacabcddbdddabdcbdc
+abdcdbddaccacdcdcbadcdcbbababbcaadbdcbcccabcdbcbbcabacdccddcbbbbdcbbdbdccca
+aaadddabacaccbcbcbcadadbaaaadaacdbcabdbbaddcbcaddacbdaaaaaccaadcdcbdd
+dbcccccbdbbbabacdcbcaaaadbbdaacdacbdcdbab
+bccbccbdacaddbdccbbaccbbbdacccbcbb
+cbbccadcddccddccaadcdbdacddabdcdcaccdabcdcbadcdcccccccbcaadddaddbcaacbaabbcdbdbaddabadbdd
+ddcccbdacbaadbbabacbbadcdcddbddaaddbdaadadaaccacdbcdabdd
+ababbacbcddabdcabacaccdddbaabbdbdacaddbbdbcbbbcdccbcccbadabadaabcccdaaaddcdbddddccdbababdccdd
+bbcdacacbdabadacaabcadaaaccdabcbcaaaabbabdadabbadbbcbcadcbbcbbdabccccdcddbbbddadbabbdd
+bcddddbccbcbcbadadbcdab
+dbcccdddacdccddaabdcbbcdbddbddacbbddbadacdbcacccccdddbacdbddabababbdccddcdcabccdaacab
+cbacdadabbccaaabdabdbcdcdabbdadabdcdabbbbbacadcadbbdadbbcbbaccbcdcdcdcdadcdcd
+bdccbcaddcdccacdcbcdaaadbdabcccaaacacccacaaababcbaddbcdaadcabbbcbadaababdbaaddcaabcccabddcbccaadcddccc
+acabcddbcbbababacdbacddaccdbdcdadbdccbbaaabbcacdbdcbdcbdccabbbbdcacbbdaadcaccccdbdbaa
+dccbaddbbaabdbdcdbaaadbccabbdcbcadcddddacabcdaadcabccaccabbcccaccbdccbcbcbdbddbbcabdacabccdbbaccbadca
+cdacbabbadac
+bcabbccccdbddbabdadbdcabadabcaccbcabddcbaabbddcacccaabccddbccbdbccdcadbbdccabcacbaadcb
+bdbbcddacdccbaca
+bbaddcdadcbdacdcbaccbccdddcabcacabdbdddacccbbdbbaddbb
+dabbbbbabbaacacddbccbbdcacdacdabcaabbdacbad
+abbbcbbaaccacacdbcdacbdaadbccdcccbacbadaccbccbbbadacdddb
+addbdbbabddcabbcccabccbbccdacccddddbdaccbddbbdcabddadbcbbcabcbbdbaacbd
+bcadcdadbdbaaaccadacbdadabadcdabcbcadabacdcadacaccb
+bacdabbbddabcddbcdaddcbdccccbdbddaabbdacbacabadbbbcb
+cacadaadcdcbcbdcdadaacdbaaddadcbddcddccadccbcaabcbaddbcdaaadbbbacabdbaaacdcabaaaaddabacc
+ddbcbadcbcadcbadbaabcbdcccaccbdadcbabdbabcca
+acabbcbcbcbcbdadacbdcbdabbddabaddaaacdadacacdccdadbbdbabcdaaabaadaa
+aaccbcccaccdcacdcdcdabaaadcbadaadabbabbcdcdaacddcbcaddcccacbabbcabaacabbccbbcaacabdbbb
+adbdbabacbbbddccdbbaaaaabdaddacbbdbadbcddadccbdbccbaddcaabababdadbdadbc
+abbacadccacabccbabbbbcdcdaccdcdabbacabbdbcdbbbbdcdbdaddcadaacaabdacbaddbdba
+cddadbabccdaab
+dcbaadabdbbbcbadcacaddb
+adbbcbdcbacaddbaadacabdaaacbccbbdbddacbab
+cbcbccddcdddbccdacaadaacabddcadcacbcbbdbcbabcdccabdca
+cadcdbadbdadbccaabccabcdaaccaaddadbabdaaadadbddabdddbacdacabccacbdabbdbdbabbbcadbdaadccbcdcddddcaccbbbcaa
+bdbdaddacacbcdbabcaccabbcccdbacdcdbdcabccddbaabbd
+cbbbcadadcddcccacbabbacaaabcdddbbbddabcccccaadccbadaaaddcacccddbdaacdabdabbcdbbbbccbcaaabbdcdbac
+dbbacdadccddabdbcdbcbaaaaacaabdcbdacaaacbbddcacbd
+ddbadcbddcbacbcbcacacbaabacabdaadbabdaddcbdbdbbbadccddbadccccbababcaadadcdcddabacbadbcbdcaccbaaacc
+dbcccacbabaabcdbdbadadcabcddbcdcdcbccdccabababdadaddbbbdcbcbaaaddcaaad
+badbaccdbbcccddbcdbbbbdaadddbaacbaacccbbdcaddadacaadcaadadabdadddccddddcccacdadacdacb
+dacbadabbcdaaddbdabcddddacbbcdbbbaccbcbccccdccbbdaaccbdcdabbbaabcbdbcdcbc
+dbabdddabcccbbdbadcacdbcddbaacbccacccbdcbbacaaacdbddcddbcdbcdcaadaabcabbccddc
+aabaccbababbacdabdcbbcdabcababdccdadbdbcabcbcacbcddcdcaabbcacdcbabbadbdcddacbdddbccbaabaddbdca
+cabdcdccdbddbdcbadcadadbaddbacbacbbcdddddbcbdcadadadacdddcaaccbdcabdcdacbdddcaabbccabbdcddbbcbdabaaaaaddbc
+bcacdbbdbbaababadbbdcbaccdbbccbdbccbcddacacbaaccabbabcbbcababdbdbdcdbbbbcaaacdacddccbbcadab
+ccdacdaadcaddabbaddcddadbdbdbcbcaadbcccbddacbdaaccbbaccbaadccaadbabbbcbbabcbdaabdddbcbbcdabcdbdabb
+adcddddbddcdbcbbcbdcbdaaccdbabdcdbcdddabbdbacdcbcbcccaadbdbbabadcdadbcddbddacadbcbdccabcd
+acccdccabccbcdcbadbbdcddacbbaabaacdaadadddbcaccadcdbdbdbacbdccbdcbcdcbacd
+dcabccadbbdcbbcacddadabdbccdaaadbaacdccdcacdbacbdccccccbaaacda
+dddacccbaaacbaddcbbadbcddcaaddbddcddbbaabbcbbcbabdbbcaddcdacdbbdbcabaaddbddbccddadbabddbdbacb
+baacaaaccdcbdaccadaacaccabaaaacaaadcddacdaaddccadacbaadccccdabdbbbddacccacaadabbddddadcdbdaaddca
+babbdcbcbddcabccbaabaaabbccbabdcbacbbccdbbdddccccdaadaadbdbacdaadddb
+caacdcdbbccddaaddadadadaabdbdaddbcaacaaabbbb
+dccbabdadddbbdbbbdabddaacacdddaadabcacbcbaddcacbcaccbcdacdcbdadbbababaddccaacdbddcddbadb
+cacdbbbdcacdadacbdbcbbaabbcddbcbcbacaccdadbdacbbcbbad
+ccbcbacaaaabbbbcdbcdbbdabdbdbddbbcbbbbcadcadcddacabcacabbcadaaddaabaccddbbbaddccbccdbcababccadadaaabdccab
+dbacddcddcadabdbbdcdccddbaaddbbdababcacbadbcddbdccdbddccdb
+baadccddbacdcabdaacabdaccbaabadbddddaddcddcdcacdacddcbcdbdcaddbdbdccdbadcccadcbdbbcbcacccb
+bddccddbcdabdacccddcabccaaabaacabcbaacbaccddcbddaaadbadcadb
+baccbccccbdbaaaadaacbbbacbdcbbdddddadbcacacbcdadcbbabbaaccccbaadaacddcadccccabcccaa
+badccdbaddccaaccbdbdddadbbdaadbdbddccbcddbdbddbdaaddb
+ddcdcbbdaddcbbacbbddbaadcacdacbbbbccacdaaadadbcaadcadcacaccdcaddcadad
+ddacaaabcdcccdbdddaaacbacbdccbbaaaabc
+cadbccdbdbdaccaadcadacbddbdbddddcdcdcaabccbaddadcdbccaabaccaadbadccbabbdcdcdbaadbabbdadbbcbcdbbbcdabadada
+adcacbdddabddaacabbbcdccbbacdabaddccacddaaacdbdaadadabbcdb
+dadaabbbcccb
+aaacdbdcccdadbddacabcabdbacacaddbccadcbdadddbbacacaaabaaacbbbbbbdbdbccaddcbcdbbdadaadaabd
+bcadbacbdaddbaddbcabadbcdb
+dadbdaccbbcaddbbbcbdcddbcaadabcddbcbbbdcbaabbccadbdaabddcbaddabdabdcacccbbccdadcbbcdcdadccccddacbcddcadbbbdcb
+dcbccdaaaadacaadaaabcbdaabdbbddbcdbacccdcbaabdabdcc
+caccdabdbbaacdbacbabdcaabbcbcddaaddabddadbb
+cbacbaddcdbcccbcdddbbbacacdcdaccdddbadcaccacacbdcbccdbdbdbaacadbcccacdaddbcdaa
+adacadcdbdccbacadabbaadadcacbcbababadbbdbddbccadddbcdacacabbdcdbcacddadbaaabddbcbbdcbbbdbbddbbbbdaacccccbabcc
+bacdadaddaaddabdabbcdddbdcbb
+bcaddbdddbabdacbcdadbdaddbcdccbbaaddc
+ccdcaabaaacbbaabbdcbbdcbbcccdcdabdddbccca
+dbdcdcbddddcabacbaabdbbabcacccaaacacdbaccb
+aabbadcbdcababdcadbaddadd
+bdcabbaccbdadaacbabbacbaabdacdacacbdacdbdbbabaabaabdaaccaccbbadccccaacbaddabddd
+cdbaadcacdccbccbdadaaddbcdccaacdbcddccdaaddacbcbabadcbbaccdcbabaadbadcdbbccaadacbaadbabbdcdbbc
+bbbbcdccbbdbccaacbacddbbdadaaaadddbadacdbcbaaacdadaaadcbcaadadcda
+caabcbdddbbb
+dcbcdaaaabacaadaaabdbbcabbdbcdcccdacdbdbabbaaddbabdcaabacababddaddaccbcaabadbaaabacddbcdbbdddabdd
+adbbaadbdadabbccddbbdbacacdbbcbddccadcaacaccdcadabbbaacbdbddcaccadbabdadbcdbdbdbbaacbdadaaddbac
+dddbbbdadcbbacacbcca
+dabdccddddcabcdbdabcadddcaadaaabcbccdcdcabbcdaabdddbbcbcdcbcbccacdcbbbaaabbbdbddccbbadbbaddbddaddabbbdcccd
+aabbbdccbdbbcacdaaadadcbbaccbcaaabbaaadb
+cabdadccabaacccabbbcbbabadbcbcbcacdbddbdcaccadbcabcbd
+aadacbdacccdddcacbaacaacdadcadcabcdabadbdddcacbddadbaadabbdacadcaabbcbdaadaaada
+abdccbbbcaccadbccbccdaccbaddddcbbaadbcdddcbaddcbbdccaadbcddcacdbadadbdabcdbcabdcbbba
+bacdcdbcacbcdbaacddb
+cbddaddadbdabaabbdb
+bbbbdcbabcdbdbddaaadacaaabaaabddaaccbd
+dbcbadddabadccbbcbbdbcdaaaccbada
+dadbbcbdbdababacbcabbabcbc
+abacaccdaadadadbddcaabbdbbdddcbdabaadabdacacaaa
+ccccacbdbacaccddccacddcddcbcdcccaaacdacdcbcababcaccca
+adbcccdbccbdbaadaacbdaabdaddbabbaddcabcaabdcdaacacbcdadccdccbccccbcbcccacccacacabdcbaacacbaca
+bbabbddddcdaaddcdbaddbadabbdcbaabbadbcccaabadcaccaaccaccbbdabccbbbcccabbbdcccdbac
+daaddccbbabbdcaabccdcadadab
+dabdaadcbddbbccbbddbdbbaccd
+acdccacadbcdcadccaddbacdadcaacbbabbcccdddadcacdaacacdccbddabbbbbadcacbbdb
+acbaccbaddbdca
+baccbadccdcdccbaacdcaadcbdcddbdabbdca
+cdcbbddbbcdccbdccbcccaaddcddccabbcdcccddcddacacccbdddcbdcacbcbcbaaaccddbddaacabdaddb
+cdbbddaccbbdddbcbbdcaaabdbadbcaadbacbcaccbcdcbcccbccccbbaabbbcabdbdbbbaadbbaabaaccddbcddddddababddcc
+dcbbdabcbbcababbcabcdbdddaccdacabcbdbabacbbadabbcdcdbddddbdadabcadcbcbacaaadcbabacbcdbdcaaaabdab
+108 16
+bccbbccccabcbbcaaccacacabcaabcbbaacaccbbacbabccccbbccbccbcbaabbaacabbbaaccaabbbcbbbbbabacbcacc
+bacacaccbbbabbacccaacbcaaaabacabcccbcbcbaaaabbcaabaacacabbbbbcbbbcbacccaac
+aacccbbcccbcbbb
+bcbabccabbcabccbbabcbaaaabaaabacababaaaabbcaccacbaacbcaaacccaccacaaacccbbcbcacacabbbcac
+cccbabbaccccbcbbbc
+acbccacbabccbccccbcabbabccabcccaccaccbbaacaccaacbbbbabcabcbccaabbcbbabaaabbcbcabccbbbcabbaaccb
+cccbcbcacacbcbccbbcaccbbbbaacccacbbccccbcabaacbabbabbaabbaccabaaacabcbbccacbcc
+cabcbaabcbcccaaabacbccabbbbaaabcaabccacbbacbbacbccacbbbacaabbabcabacbaaacbbbbbababbccbbccbacccacaac
+cbcaccabcbabcbababbabbbbbaabbcbcbbccbbbaaabbbbbbcbaacacabbbbbcccacbbabbbbaccacabccbacabccaaacaccabbccbcccacbc
+abcbcbccccbccabccbaaaaccccbc
+bcabcabacabacbbcbbccccccbcbccabaacacccacbacaabbbcaccbbcbbcbacaaaccaacaabcabaabcaabacaabbcaabcabbcabcaab
+aacaabacabbabaaaccbcabbbaba
+aabbbcbbaaabbbbbcbabcbababacabbcbbcbacc
+baccbacbcbaaaabcbaabbaccbbbacccacbbaacbac
+babbcbbcccbbabacccbccacb
+abaacbacbacacaccbbbbacabcbaabccabbbabbcbbbbbacbab
+aabbbbccccbccaccbcaaaccbbbacaabcabccaccbcccabaacccbbcaaaaaabbccab
+aaccbabccbccbabccacccabaccccbcbcabcbabcabbabca
+abcaacaaaaacbacccbbabbccabbaabbcbbca
+bcccbbbabbbaacccbaaaaabcccaacbbccbbcacbbababcca
+ababcaababbcbacacccacbbcbbcaaabbbbbaccbbcbabaaccccbabbcbbbccabaacccacbbabbaaccaab
+ccaccababbaaacabbcbaabcacbcc
+acaaccbbccbbabcbbccabccacacccbbaabaacbaccbbbaccbbbccabcbabcbacbbbbaababaacbca
+ccbacacbaaacbbbaabbabbcacacbaccbcacbccaacacbccacccacbccccaabbcbccaccbcbaccbaabbbcbccabacabbbcabacbcaccaccbbbb
+abccccccaababcbbcbabbbaacabcabcaaacbabcbbbcacbbcabacbbaaccccbcacabbaaaaaabbabbbccbbccbaabaca
+bccabcbbbaabccbbacaabbcccaccbb
+abbcbcbbbcaabbaccabacbb
+caababbccaaaccbabbabbaabbaababccacaccaabbbbbccacbcaaaccabcabcbbc
+cbabbaabccbbabcbacccbbabaabcccbacacbcbbbbccbccbbaaccaaaabcbbbcbacbacacabbbcccabbbabcabbccbba
+bbcccbabbbcbabccabbbbaaabcaa
+bacabcaccccbcbbaacbabbccccacaaaaaaaccacbccccacabaccbacaacccbaacbabaabcbbbcccbaacbabaabcbbc
+abbcacccacababbbabbabbcaaaca
+babcaaccbaabaccccbcbbbaccbbbbbaaabccccabb
+ccacbbcacbcbcbcbccbcabcbbbbaaacabbaaabbbbaaaccaabbaccacbbbcbcabbabcbccaaaaabccbbccbcbbbcbaabcab
+acbbabacaac
+aabbcaabbcbbcbccbbcaacaacabaacb
+cbbbcbcabaaaccabbcaabcbcccbaccacbbcaccccbbbbacbcababcbbccabbbbcaabbbbaccacaacababcbaccacaacabccabaccbabbb
+bbccbbbcbbbaacbbbacccbbccbabcacccbcabcbaabababbbbaaababacbabaaaaabababaabbcaabbabcbb
+cbcbaaacccabacbccbcccbaabbcacaaacabcaacacbaabccccbccaabbacbbacbcabcaacbcbccbbbccccbbbaabccbbbcb
+bbcccbabccbb
+bbacccbbbcbcabcbbbaccaabbbacabbacbbbaabaccababaacaabcbcaccaabbcaabcaabbacabbaabaaabbcacbbaaaca
+abbaccbbccbcbaacba
+bbcccbbccbcaccccbacbbacabcb
+baaaccbababcbaabcacbcccaacaccbcbaccbbacbaabcbcbccb
+cabbbbabcacbaabccbccccabbaacccaaaaccaaccbcaccbcbacbbabaacccbaccbbca
+aaabccbbbbccbcbabcbcababaacaabbbbbccacbcabbaacccabb
+cbbbcacbbbbaaaabccbacbccccbbababcaccacccbbaababbccccaabccacbcbb
+aaaabcaaaacaaaacbbaccbccaaccbbaaaccbaabbbaabbbbcccccabbcabaaacccbabcaaccbbcbbabcabaaabccbccabab
+acaaaaaacccaababaaccaacccacaacbbcccbaaac
+ccaccbbacbbaacbbaaaaccabbaccbcbaaacbccbaaaaaccabbaacbcaaabbb
+bcccaacabaacbbacbaacacbcabcaccacabbcccbabaaccaacacacbbbcacabbbabbccabacbc
+bcaaaaaaabaaaabbabbbbcbcbbbbbcabbaccccacbbcacbbacaaccbabbbbcbcaaabaacccbbbcbacaaa
+aaccbbcaabccacbccccaccabbacbacbcaaccaaababaaaacbcaaaacbacabccbaaaacbaaaabbabccacccbacbbbacbcbaccaabcbbbccba
+cabacbacbcccbaaaaabcbcbbbbbbacbaacbcb
+abbaccacbcaaacababbbabacbbabbabbcccbcbbaababcbbccbaaaaacaabcaaacaacabcc
+cbbacaccccacbcaaaccaccabbbcccbbaababcaaa
+babcbcaccaacbbabbbaaaabbcacacbcbbbbcabccbbbbbabccbbbaacbaccbabcc
+aabccbaaaabcacbbabcbcbbaaacabacaabcccbababaababbccaacbacaccbcaaabacbcacbbcaaabaccbacbccbaaaa
+cbcbaabcbbccbbaaaabbbbbccabababbcbcbcbaccaaaabcbbaabaacacbaccbacbbabcb
+bbabcabcbac
+bbbbbabaca
+cacbacccacbcaccbacabbcbbcaccbabacbacabbbbbacacbaccccaaacaacbccbbbbcaacacaabcabbabaaabaabcbcacbb
+aacacbcabbbcbccabcbcccabcbacaabaabcacbabbbcabaaa
+baabcbcacbacbabcbbaccbabbbbbbcacccacabaca
+bcaacbcccbbabbbccbabbbbbccbbbcccaabcbabcbccabcbccabbc
+cabbbacacaccac
+cbcbabcbabcbbcaacaacbacccaaaaabbacbbbbabaacaaccaabcbacc
+bcbabbcacaaaacbccababcabccca
+cbbbcbabbbcbbbbcabcaaccbcacaacabcaccabbaaacbbbaaacccccabbacbbaacacbbabbcbbaababaaabcabaaaacccbbcba
+bcbcacaabbbacccacacacbcccaaabcbcaabbacbcbaacabaaacacaaacbcacbabbbccbbbcaaacacbbbcccaccabaababbbcacaacbbbbbaac
+ccbaaccbaaabbacbbabbcbcaccacaccacaabbbbbbacbabaabbbbbcbcbbcbabacbbcccaababaaacaaaaacc
+acccabacaaaabbabacabacbbccbaaabaaccaca
+acbbccabcccabbcabbaacbccbbbaaaacaabaccbbccccbaccbccccbaabbbcaacabbcacacaaabbabcccbabaabbbcabbacc
+bcabbcabaaacabccbccbbcabaaaccccbaacacccaccccaababbc
+bcaababcacbabababccbbbabbcbcbbbbccaaaacbabbccaacccbaabaaabcacbabccabcabccbccccba
+acbbaacbcbbacbcaccbccbbbaccabababccccbabaabcbcccbaccacbaacbaabaccacabbbbbac
+abbbcbcccaaaccaaaaacbcabbaccabcbcabbccabbababcbaaccccbbccbcacaacacbccbaccbbcabacbbbabccbccaccabcbacbcab
+ccbaaabbbccbac
+baaabccbaaabacbaccbbaccbacaabcabbacbcabbbcbabaac
+baacbcbbaabcaaacacacbabcbcbbaacacacbcaacccbabbcabcaaccaabbbcbbacabbaacbaccbacbaabccaaacca
+bbbbacabacaacaccbbabbcaacabbcbbacccabbbaaccbaacacabccccccbaabbbcbacbbbbaccacbbabbcaabbcbabbababbca
+abaaacababcabaaccccccbcbccacbcccbacbcccabaabbb
+bbaaabbacacbbabcaccbcbbacbbbaabcacbabcabbaccbccbaccbcababcbcaaaaababbaabbaccca
+cbcbbcabbcccbbacbbbbbaaccbcbabbbaaabccacbbbbbbacbbabbacccccacaabcbbcccbcacbbc
+ccaccbbccbbacabaabbbabccbacbbcbaaacaabcc
+cabcbaabccbcbaacaaabcaaaacbca
+cbbbbababbacabbcabcacaabcccaaccabbcacccbcbcaaaaabaabbcabcaaabccbacbcbaaaaaabbcbbb
+acbbaacaacabaacccaabcaacaacbacbcbccaccbcccbacbabcaacbaabacccaccccabbaccaccaabbaacabbacaabbaabbaacbbc
+cbcccbabcbbbaacbabacacbaacccaaabbbcbbbcbbbaabcbaabbac
+accaaacccbcbcbbaaabbbcccbbbabaacbbabccaaaabbbaccbccabcaacaaccaabaaabbccbababbbbacaababbabaac
+bbbcbbcbabbcccaabbaaabccaacabcabcccaabcbbcbc
+abbabcbabcaccbaccbcabacacabaaaabbccbbbbbbaacbcaacbcbacbcc
+acaccbababcbbcaccbcabbccbbccabcbbcbacccbcbaaaabaaccaacaccbacaabbacaccaccbbbabccacacc
+aabbbaaaaaacbcccaccbabbbabcacccabaccbcccbaccbccbacccccbaaababccabcbaabccabbbcacccbabcbcccacc
+cabaccaaccaccbbaaccbcacccbcbaabcabcacbabaccbcbcbbcccabcbbbaaacbcccabaccbbcccbcaabccabbbabcbacaaaabbcabab
+bcbbaacbabacbbbaccaacaabbcaabbcb
+baaccaccccbbcccccbbcbcccbbb
+bcacacaaaaccabbaabcaaaccccbbabaacbbcbbacbacbccbaaccaaaacabacabcbacacabbcccaaaaacaaabcc
+bbaaccaccaccbacccbaababcacccbabaaccacabaaaccaacbaaccbbbaccaca
+cabcccbbacacaabcbcbbccacbcbbabbbcaaabcacbcbbacacacabbaabbcbaaabbcbccbcaacbbcacbaaaabccb
+aababccacbacbcabacaabcbbbbababaccccccbaabcbbbcbcbbccccbabacacbaababaab
+bcaabccbcaccabaacabbccabca
+bbcbaaaabcb
+babcaabbacaccbccaabaca
+cabbcccbcbaabcbbbcbacabccbbcbbab
+ccabbbbbbabcbccbacbbbcaccabaaccccaaacccbbbbcabaaccaacbccbabbbccaccbbaacabaabaabbbaabacbacba
+baabacabaccbccabbcbbbcbbcacacabbbbccccacaabbaabbacbbcccbaaccabbacaaaaaaacacaaaccbcaacbbcc
+cbbbaaacacccaabaaabccbababcbc
+289 210
+aaacbcacbacacabbbcbabbbacabbbccccabbaaaccaccaccacaccbacaabacabaccabbbbcabaabbcbcbacbaaabccb
+acaaccaaccacabcbbcabbbcbcaaaaccbcbcccbaaacabccbacabbaaccccbcacccbbbaacccccccbcbcbaa
+bccacbbbabcacbacaccbaacabbacbcababccbcabcbaacabbbcaaaaaaabbcbaabaaaaa
+aaabaacbaccccbacb
+abcacabbcccaabbbbbaaccbbcaccabbabcbccaabbcbcaaaacbbcbcaccbcbcabc
+ccbbbbccbcbcbacbbbbcccabaaccbaacbccacacbaaacccbaacbbcaccbbbaccbbacbacaaaa
+bbbbbbcaabcccacbbbccacbcaaaacccbbcabaacabcabcbaaccbbbbccacbccabbcbcbcbbcaabcccaabbcabcbcabbaaaa
+bbcacacaccbcbaaaabacbaccabcaabccabbcabcbabbcccbbabaaacaaccbbcca
+aabaabbbaccbacaaacbc
+cbbbccccabaababcacaabcbabcaccabaaaaccabcbabcabbacacc
+aabbbbbccbbbaaabccaaaacaabbaabbccaacacbabca
+ccbabaaaaacbbabbccbbbabbbababaccbbbccbcccacaccabbbccaccac
+bcbaaaaaccbbaaaccaabcbcaaaccaabbbabacbabaaababcbcaccabcbbabacbbbabababcbaccacbcccaaabcabaacaacacbabaabbcbbc
+bccccaccbcbbacaacaacbbbcacccaaaabbccbbbccaacacccbaccbcabcacab
+cbbbbaaacbaabbabbacbacacabbcaacaabcaacabababccabaaabccaaaaacbcaaacccabbcbccbbacacacccabbb
+bbacabcaccaccaacbbaabbcbcaabbbbcca
+bccaaccabaabcaaaacbabbabaaabbbbbacacccacbacbbacbbbbaa
+aaacccbbabcaaacbcacaaacbacccabbaacaacacccaacabbbcbaacabbccaccbcbbcbccbcccccb
+bcbbbbccacaaabbbcbbbcccbbbbaabbbcccbbaabacbbacaaccccaaabacbcaaabb
+bbabccacccacbbcbcbcbbbccacacbcaabbcaabccbbbbcccacabbcbcccaaacaabaacbaacaacbcccaccbbccbacabcbbcac
+abcaaccbacabbbaacbbccabacabaaaaccbcaccacaabbcacccabbaaacaabbcbbccbcccbbbbaaaaaccbabb
+cbbcaacbbcbabaaacbaaabacab
+bbbcbcbbabcbabccabcbabaaabcaccaacbaaaacbaacaacbbababbbbccacb
+abaacabccbaaacbcacaabbabbcbcbbbbabcaacbbaacaccaccbcacbccabbaacccbcaaccbcabac
+ccacbbababcaaccbcccccabbbcabbccbbcbcaacbbccabaababbbbacbabaabbabcbbcaaabcbaba
+babccababccccbaaabbbbbbbaaaccaabbabccabbcbabbaccccbcbbcacabbbaaacabbcca
+bbbccacabaacbbaccacbcaabacabacbcabbccaacccabaacabbcbcababcbbbbbbcb
+cbccacacacabcaacbaaa
+aabbbcbbcbbccbcbbaaabbaccaaacccbbabaacccbabccaabaccabbbbbcbaacbcaccacaccaabbcaccabaaccbbbaaabbcbb
+aaaccbbbcbccbbcacbbacbbbaba
+ccbbacabcaaacaacbccacabacccabbcccbbbccbaccaabcaacbacaacccaacabcacaacaaccacacbc
+babaaacbcacbbaaaca
+abacaccccbaaacbabbcbabbbcbaacbbabcacbbabbcacbbccbbbacaaaabbabcbaabbcbabcccacbbbbaccaabcabcbbcab
+abacaaacbcbaccabaacbcba
+cacacbaaabcccabbcaaccabcacbabbacabaaaaccccaababcaccabccaaabbbbaabbbaccacbcbb
+abbbacbabbcbbbacaabbcaacccbccaccbababbaaaaababaccccababccccbacaababaacacbbbcbbcaacccacb
+bbabbcbcabacabbcccbabacbaccbaabacbbacbccaccbccabbbccaaabcbaccaccbbacbacacbabaaabaaabcaabaabbcaabaccaca
+bbacbccaaacacabaaacaa
+bccabbcaca
+cccbbcbaabbabbbcbbababacabbcaaabacaaccbcccaaacacbabaaacacc
+bababccbaacbacbbcccbccccbccaaaacabaacb
+baabbbbbcaabcaccbaaaccacbbaabaaacaccabacacabcaabcbcbcccbbcabcbcacaccbbcab
+acbacbaaabbacbacaccaabbbbbbabcccbbbcaacbcbaaabaaacabababccabba
+bbcacaccbaacbbcbccbbbaacbbbcaacaccccabbcaaabcca
+cccccabcabbcbcbacacccabcacbabcccccccbacaccababccaccccccaaacbcbbabbacbcbacbabcabaccccbbcbcbababaaccccca
+cbbcccbbcbaaba
+acabaccbbabbcccccbabbaaacbacccacccacababcbbcbababacbabcccbabbabbabaccbbcbbbcaabccbabccaaabb
+ccbaacbccabbaabc
+abbaacbcccccbbbabbacccccaaacaaccbbabcbabcabcbbbcaaccbbcbcbacbbbaaabbbaaabcbacbbac
+abaccabaaccccaabbbab
+babbacabbbbabbaabacccbaacbccbaacacb
+bccbaaccaaccaabbaabcbcbabccbbbaccaacbacabcbbacbcbccacabacccbabaaaaac
+abcacacbaaaaabb
+acaaabbbaccbaaacccabbaabbacbccbbacccbcbaacbccabcabbbbabbacbacabbcaaacabcccacabcababbacccabbbaacbccc
+cabccabcbbccaaabaabccbbcbbbcbbbcacbbccbabcacbbaaaaaababcbabcacabbacaaacbca
+cacaaabcabaacacbbabbaababaabbbbbacababaaaaca
+abbcbaaccabacccbbbccbbbbcbabbccbcabaaacabbcbbcbaabbabbaacbcbbbabcaacaccbccabbabaabcccbababaccbabc
+bccbcaacbbababbbcabcbcbb
+bcbaaccccacbcaaabbaccacababccbcbbacaaabcccbbccaabbaabbbabbcaaacbbccbabaaccbbcbbacbaccccacbcacacaccbbcbaa
+aaabbbbaababacacbabcc
+cbcbccbbbabbbabcbacaabcccacaccbcbaaaaccaabacbcbbbabbcacbcacbccbb
+ccccbaaaacbabacbaaacbccccaaaabacacabbcbabcaabbabcccbccbbababaaabbcabaccbbbbacaaaabbccbbcbabacbcabcaacabb
+acacacaacbbacaabccabbabba
+cbbcabaacbbbcbbaabccbbcabaaabbcacbacbcabbbaacbacabcacaaabbcabacbbcccabcabcba
+ccabcbabbaacccaacabbbacccaacbbbcabcccaccbaacbaaabaaccbccabbcaabacaabccbc
+aaaabcbcccaabbabbbbabacccabcccbcabaccbcbbbbc
+acacaccbbcaabbbbaccaabaccbabbbccaaabcac
+bacccaccccbccbccbbcaaabcccabcbabbabaaacbbcbcbbbcccccaaba
+ccacacaacbcca
+ccacaaaacccaacaabcbbabaa
+cbaaaaacaaccbcac
+accaacbaccccbbaaacababaabcbbbbabcacccbabcaccbcccbacaaacaaabaabacbc
+ccacbacabbbaacbbbcbbacbcc
+acbccabccccbcabaabcc
+cbabcaabbbacbbcbcbbababbabcccacabbabbbcbbccabbbbaaccbabbaccaaabbcaacacbbacccaccbcaba
+bbcbbbbaababcaaabcabcbcababbababaccbcbbacabbccabcaabbcacbccbaccaccbabbbabcbbcabacbacacabbbabcbacbbcccacaaab
+bcaaccabbcaaaccabacbacccbacacbccbbccbbbccbccbcaabbcbaaaaacabbacbccabbccbbcabacc
+ccbbabacababc
+cbacbacccababacabbcabbbabcbacaacabbacaabbaabbbcbbbbabbcaccccbacbc
+bbacabcbbaabbbcbbbbabca
+abcbcbbbcbbabcbcbaabaaaababcbb
+cacbaabbbbaccbcbac
+bbcaaccabbaa
+aaccaccaabcacabbabbbabc
+bcccbcaacbbcbaaaaabababbaabbcaabcaabcbcacacccbbaacbcaaa
+cabbcacbcacccccbbcbcbcacbcaccacbcabbaabbcabbccacaaaacaabacaacaccaabcccacaaaacbbbacbbcaaccb
+bbaabaccacaacbaacccababccacabacbccbaacbacbcca
+cccbcacabcccbcbacbaabcacbabbaccabaaabccbbccbccccaacacabcbcbaaaabccccccaccaacaccacbbcbcacaabacacaccacab
+acbababbccccaabbbaacaccbbabbabacbacbcacbbbcbabacbbabacbcbcbbcabbcaccbbabacccaaacbaaacaaa
+acbcbcbabccaccaaaccbcbaaabbbaaab
+abaaaabcaccbbabbcacbacaccaacacabcbbccaaaabacbabccbabcaacbaaabcbccb
+cbccbcacabacbbccaabacbcabcabbccbbbaabcbbbacabccabbacabcacbbcacbccaababcccaaccbaacbcbcbbbbaabaacaaabbcccbbabca
+cbbabaaccaccaccbbbccabaabbaabcabcabcbcbcaacabaaaccbbcbbbbbbcbccacabbccbaccc
+abcacaababbcbcbacabababbccccaaac
+acaccbcbaabbcaccabaccbabacbcaaccabbcbcabbcabbcbcacabbbabbccaaabbbcbbcbaccacbbabacbaccbbcabbaab
+aacbbbcbcbabcbaaaabccabaaabababcbbcbbabcacbccaccacbcaaccacabbacaacabccbabbacccaccabccacaaababaababc
+ccaaaacbaabacbcabbbabbcccaacacbabca
+bbaacaabcababaa
+baaacaaabbbbabacacbbcbccaabababbccbbcbcbbaabcbbcccabcbcbbcacbabbbaccaaaacaccc
+bcabacbabbaabbccbbbccaccaacbbbabaaba
+cacbbcbacccbaaaacabcaaabbabccaababcbccbbbbbacaaacbbbabbbccbccccccacbbbaabaaccbcabbccbbaca
+caacbbaaacaccbcacacbacacc
+cabbaabbacbaabcacabbcaaabccababbabcaabaaaccccaccccacabcbcabbbccbcbcbacbaacbcbbbbbc
+acbbbcbabaacc
+caacbccabcccccacacbbaccabbccbbcaacabbbacacabccbbbcbaabbcabccbabbabcaacabbbcbacabcbaacbbaaacabccb
+ccabbbccccccbaacacccbaabbacaccbaabcbcbabcbbbbaaaaaacbbbabcabacbccbccaabbacbcbbccac
+abaabcabacaabccacbcbacbcbabbabccbcacbcbaabbbcacacaaabababcabcbaccbbaabacbbac
+cbcaaaabccbbababbcbaacabbbabaababbbcccbcaaaaccb
+abababbbcaacbacccba
+cbbbbbacacaaaccbbaaaaaabbbaacbacacabcbbcabccabbcbcaacaccbbcacacbcbbcabbbcacaaacccbbcaacbabcabccabbbb
+aabbabbcccbcbacccabcabcbabcccbaabccacccbbabc
+cbcabbbacaacabbccccabbbbbcacbacbbaaaccccbbbacbabccbaaccbaccaaacbbaabbccbaaaabcacaaaabcabbbacaaa
+bccbbbaacaccabcaccbabaabbacbacccacbababbbaca
+acabccbbaccccacccbccaaabcaacbcbabbaaacbbaabcacaacbcaacab
+acaacaacbabbcbcabbababcccacabccababccabcccabaaccbcbcabaaabaaacaccacaabcabcbcabbcabcbbcbcbcaaaaaaaa
+cabbcababbaaccbbcacccabbacbbcabcacccbbcbbacccbbcacaabccabacbabbbbaaacbabbcaacbaccccbcccaaacabaca
+bbaabbbabcabccbcacbcbcaacbabbacaabaacacacbabbcbcbabbaabbaaacbabbabcbbbbcacbbacaccbbccbabacccbabcbaccb
+aabcbbacbcaccaabaabaacbccbaaaccababbbbccbbbcbbabccaabcacbcabc
+aacbbbbbabbccaaacbaccabbcabacbacacbabbccbbaacccacaabbbabbcbabaaabcaacabcbabb
+bacabbaaacccccbacacaa
+babbbbbcabbbbaacaaacabbaacaaacbbcaccbacacaaabbcbbacaaacaacbbcbacbaaacccaababaaca
+baacbcbbaaacbbbacbaaabaabaccabaacaacabbacbbcaaccaaacbcacbbabaabaaabaccbbbaabbabacaabbababcbacaacabb
+bacaabcacacbabbbccaccbcbbabbaabccacbcbbbcaccbaacacbcacc
+babbabbcacbcacbbccabbcaaccabcbcbbcabaaccaabacbaacbbbbaabbc
+caaaabcbbbcbbbabacaacbaccacbcacbbaccabbaabaccabbbaccaccbabbaaaaccabbabcbccbcacaacbbabaaaccabbacbbabba
+aaacabaaaabbaacaa
+bbbbabaacccaaccbbcabb
+bbabaacccbacbccaabbcbbbbbabacabcbcbbccbbacbabcccbccaccabbbbcccabaaab
+aacaccbaccaaaabcccacbcbcabaccbcbaccabccaabccbbccbcabbbacbcacacbaaacbbbccbaaaccbabcbabccaaacbaabbbbbbcaacaab
+abbabbbbaacbaacaabccbbabccbcabbbbbaaaacbacacccbabbcacccaaccbacbbaaccaaccbccaab
+baabcaabcbbccccc
+caaccabacaacbacbacbabacbcaabacbbaccabccbaabbbacbaabaaaaccbcbabbbbacbabacca
+abaaaabcababcacaababbaaaaaccccacacaacacb
+abbbcaccbbbcccacbbbcacaaacacbaacabbcabcabbabacccacaaacbacccbbaaabbcaacabbcaccb
+ccbbaaabbcacbcaabaacabcccbbcbbabaacaaabc
+bbcacacbbbbabcaaabacbbabbbcaacbacacbcbaaaacacaaabbaccabaccbacabbabcbbbbcacbacabacaca
+aabcabacabbcbbbbcbaaabbabbccbbbbbbccaaacbcbcbcaccabcacaccbbcabaabccababbbcba
+acbabacbcabbccababccaacaacbc
+abacaabbacbcbcacbcbcaccbcccccaababcaaabbacbaacaccacbbcbbcaabbbabbb
+acaacacabcabbbbcacccaacaaccacb
+ccacabccababbabacabbababbca
+cbccbbbbacbbcbccacaaacbcbbccabcbcccca
+bbabbcccbbaccabbababacccbabcccccbbc
+ccbababbbbabababbbacbbcabccabccccacbbbbbbbbbaacccccacaacbbbbccaaaaaaababbbbacccbbc
+babacaacbbccbacaaccabcbccbbababccaca
+aaaaaacbbacacbaaccccccacbbbacbaacccabcaaccacaacbabaaccaccaaaacabcabcbcbbbcbbbcabcacccc
+abbabbcbbbbbac
+abaacacabbccbacbacbbabbabcacbcabcabcbabcaabbacabbbbabcbaccbcbcacbacbcbbccbababcaccaccbcbcca
+aabccbccabcbaacacacbcaaacbbcac
+abbcbaaccbabacccacbcbacccbbabbcccbcabbbbcacaaacbcacbcbcacbabbabbacbaabbcabccbcccababcbabaccacbacaaccc
+acccccabcccaaccbaaaacbbbabbacbbcacaacbaacbbabcabbcccbcbbaacabacccbcaacc
+babcbbcbccacaabbababaacbbaba
+bbaabcaccabbabacaabbccacbbbbbaca
+ccbcbbabcbbabbabbaaccbcaaabcbbccbbaaabaaca
+acccabccbbbacaccbabcccbacccacbcccacbbcbcbacacccbaaaaacccaaabbacabccbbccccccccbbbbacabcaaba
+aaaccbcbbbaacacaabbaacaaccaabccacaacccaaaaaabbbcabbaaabbccaacaccacbacbabbbacbaacccb
+abccbbbcbcbabacacabbbcacaaaaaabccbccacacacbccbccaa
+baccbacbbcabbcaabaabacbcbcbaabcacbabccbcaabcbabbccccabcaccacbccacaccbcacaacccccabacb
+babaaccabcccabcbbbacbcbabcabbaccbccbacbacabbaaccbbabaaccbacccbccacbbbabcaacacbbaccbcbabaab
+abcbccbabacaccaaacaaabbcabbacbaccbacaaababaabaaacaacaacbcbbaccabbaccccbbbacaaabbbcabbccbbaaabcccbcc
+aabbcbcaaabcaab
+bbbccabcaccbcacaababcaccaacababaaaabcabb
+bcaabbcabb
+cacbabababbbcb
+bbaccbbaccbcaaacaaaaccaaaccbaabaabcbbabcabbaacbbccbaccbbababcabcbbacbabbbaccaaaaaccca
+abaccbbcccbcbbcbbcbcabaaaabacca
+abcbbaaabaaacabcbacacacbcccacbcacbbacabccacbcaabaacacabbbbcaacaaacaccabababaccaaacabcaaaabbccabbcabbbababcaca
+cbcabccbabbacbcbba
+cacccbbccabaacabbcbcbbbcabbbbabb
+cacabccbacaabcacabbbcabaccaccacbccccbabccab
+bcacaacbcacabcbbcaccaacacbaacabbabccaaacacbccabbaabcaabcbaaaaabbacabababcbbcbcbaacbaaabccbbab
+aaaaabcbcacabaabccabcbbbcb
+cabababcbbabaaabcabacabbccaaccbbabccbcbbaabbabababcabccbbcbcccbbbcbbabbccabbaabbbbbbacbbcabc
+acccccbbaab
+bbabcabacabaabaaccacbbbccbccabcbaabacacbbbccbacc
+ccaaacbbaaccacacaacbbabbabcababaaaacabababcbcbb
+acaabccacabaababc
+bbcaccaabbccabcab
+acabaaabcbcabcccbaabbcaccaccaaacbaacccbacbbbb
+bbbbbcabbbbbbbbcabacacaaccabcbcaaabcaaaccccaabbcccccca
+ababccaabcbbcabaaaacbbbabaacbababbaccbcbbcacccabbccaccabbcbcaabccccccabaacbbcbbaaaaabab
+cbaccacbbaccbcbcbcbccbbbcccbacacbbabababacbbacabcbacbbbbabaabaaabbaabc
+baaccbccacccbcbacaaabcacaacbcabbaaccbbcacbbaacbbaabaccccacababbbbcbabcaababcacbac
+cbababcbcacbbcbccbabcabcacbbacaabbcaabbcccabacabacbccbabbcbcbaaabcbbbcbcabaab
+bcacaabcabaccbcaacbbbcbcaaacaabacbaacaccaaabbbbbcbababaabcacaccacbbbacaaccacbbbcbcbcc
+baabcbcbacbbbacbccbbaccbaacbbbbbbaacacbcbccbbaacaaabbccacbabbbcacabaccbbbccccabaccaaaababbcbacaaabcccac
+ccaabbacbabacbbcbcbbcbccbcbbcaaacbccccbcacbccbcbcbcaabbcccabcbbbcaaabaaccbccbbcbaaba
+ababaccbcccbbbaaaaccbaaabcbacbbaaaccacbbaccbacacabbaaaccababbcbcababacabbcca
+bcbaccbbacbcabbbbccbcacaccbabcacabacbbccbbccababcabccacbcbbacaccc
+abaacbcabaabbccacabcaccc
+ccaccaababbbacabcccbbcaacbacaaacaacaacbcaa
+aabccababbbaabcbcababbcbbbcabcacbcaabacaacbbbcbabbbbcccacaaccbbcbaaacacabaaaacabacbcabcbcbcbccbcacbbcaaaa
+acccaaabbbabcacbcabacbbccacbaaaaabbacaabaccbacabaa
+ccaaacaaaccbabcbacc
+abababacbccaababcacccccac
+bbaaccccacbbaaabccbbccacabbaccbcccbbcbcbccbbbbbbbaccbccacaccbacacaccbacbbcbaabba
+caaccccbccbbcbccbbcaacaaaaaaabbbaaacbccccccabccabbcbcacbbbcaaaab
+bbbbabccbbcbaaacbccaacbaabacbcaccabcaacababbaacacabaccabcccbcacacbaacccccabbcccbcccccaaabbaabaabbbabcc
+bcabbbbabaaabccbbbbbbacbcacaaaaccbbccacacbcabbaaccbccaccabbcacaabbbbacccabcbcbbabbaaccccbbaccbaccaacaccbacabb
+cccbbcbcabaaacbacbbbbcccaccaabbbaabcbabaacacaccbacaacbbbccaabcabcbb
+ccbcbcbbbaccaccacaabccccccacacaabbcbccbcabcabccbaabcacacbaaaabbcbbbbbcabbbbcabaacccc
+caccbbcbbcccbabaacbbaaabaaaaacbcabcc
+ccbbacaabbacacbbccbbcabacbba
+acababbccabcbacbbbaabbcccbabbcbbaaaccaabcacabccabbabbbaabccaabcccabbababcaaacbabacbcabcbaacbbbcabcbbcbccbaaba
+bccabbbaccacbcbbabbcabbcaaaaacbccccacbbbbcabcababbbabbabacaacb
+cabcccacbbacbcbcaccbbccabcccabaccbccbcaabaccaaacaabbbb
+cbccabcbbacb
+baacaacbbab
+cbbccaaabaabacbbb
+baabbaabcbababbcabcbccacaaaabccbaaaccbaabbcaabcccacbbacabbaacacccbbaccbaabccaabcaaabacbabcbbabbbabbbaa
+bacbaccaabbbbacaabbacacabcaabbcabbabbcbabcaaaaaababcbabaabcabbcac
+bcbcabcbbcbbcbaaabbcbacccbbcaaaccbcccaabbacca
+cbcaccbbabbaacaccacabbaabbaabcbbaccabcccabcacacabcccbcabbcacaccbaacbaaac
+aaababaaabccabccbcbcabccabbaacaacbcaaaacbbcbbbcbbbcbacccbaaa
+abacabbaacbbbbaccabbbcbacbcbcaccbcacabbbaaababacbabbbabbbbcacbabcabaa
+baaccbcabcbccbbaacbcbaaaccaaccaccacacccccccaabacabaaabbbaabbcbbccaaacbbababbbaaaaaab
+cbacaaabababababccbacbcbb
+bbabcccacbaabcccbaabbacacaccbccbcaaabccaaaaaaccbcaccacbcccaacacaabccbcbcaaacaacababccbccabacbbcbcaaabcaaaca
+bbaacccaaaacaaaaccabbaacbbaaacbcaabaabbccccaabbabcacabbaaaacbcbcaacbcb
+bbccbbabaacbbbbbbbaabbcbccccaba
+cabccacbbbcbccabbbaabcbaaabaccbbaaabcccabaabccbcacccaabccaaccacacbcbcbabaaabaaccca
+bccaaaacbacbbacabaaacbaccbbaabbbaacaccbbbbcccbbcccaacbaaccbbcbaaacbababcca
+ccbababbcacccbaaaabb
+cbbccbacacbccbaccaccbcccbcbbcaaaccabbabbbbaccaccacbcabcccabacbaaabbbab
+bbbabcaacbacaabcbaacaabbacacccacacababcbabbabaaaacab
+bcbbabbbacaaacaccbcacbacca
+cccababaabababbcaccaabaa
+ccabcccabbcbabbbbbcaaccbacaabbbccbbbcccbaaacb
+aacacabcacbcacbabbacbbbcbcccaaaccbcacbaabcbbca
+acbacccacbbbbcaabcbaacbcbacbcbab
+cacbabccaaaaaaaabbbaabbccbaabcbaaaaaaccaccbabbcbabccacacbccbbccbacbcaccccabbcaabbaca
+cabaaaccbacacbaabcbcccabacbcaccbcbbaacaccbababbabbabcbbaabacacbccbcbaaaaaaabccacabbcacaba
+bacabbcabbaacaaabcaabbcbbcacbabccabcaaccccbacbaccbcabaaaccccbccccbbcacabaacbbcababbabab
+bcabcbabbbcaccbaccbacacccaab
+bababbbccccacccbccbacccabcaabccbaaccbcaacacaa
+acacaaacaacaabcbacaabbbbcacbaacaaacbbbbcbbbbbacbacabcacbcbaaabaabccbcaa
+bbaabacabccacacbcbbcababbacabcccaccababacbbcbcbccbac
+bcababacbcbaaabbaccacaaaacaaababccccababcacacbcaabbcccbccbbababaaacbababbcbbbccbcaaabccbccabcccacbacbccbac
+abbaaacaababcabcbabbccacbaaaaccaacabc
+acacbbbcaabaabbbbbbbaaaabbccbcbcababbacacaabacacccbbbbaaccccaabacacacbcabaacccccccbccaababbbacbcbabb
+baaabacaabccabcaabbabbacbacccbbcaaaaccbaaccb
+ccbcbacaacacbcaabbcabbbbbcccbbcabbcbcbabccbaaccbcaabcccbbbbcaccbacacabcaabbccababbccabbcaaabcaabcacbbccbcabcc
+cacbcacbcbbbbbaaacbcacb
+acbbbacbabacabbccaccbaacbcacbccbbabccabbbbbabcaaabccbaccaaacaacbaaabcccababba
+babcabcccaa
+ccacabbccbbcbabbcababbacabcccaaccbcbbcabcababaaabbccbbccbcbcccbc
+aabacaccbbccccabcb
+bcbbcaabcabacccbcbcbacaaacbbcaabacaaccccabbaabcbaaaacbbbabac
+aacbaabccaabcbbbcaccccabaabbbcaaabbbaccbbabbacabbabcaaacabbaaaabaaaaaabacbcbb
+babcabbbccbbcbbbbcbabcacacbaaaaaaabbabaacabaaccacacbcbcbbcbacbabbabaa
+bbcacbabcbcbbbcababbbaabcacaabbca
+aaabbabaaccabbaccabbbcaccacccb
+cccbabbbbaabbacaacbccbcaacacbcacaaccbbbaccabcbabaccbcbaacccaaacabacbaacccbaccaaacbbaccbca
+babaabbcababccabcbbcaacccaabcccbbaaaacaabcccacacacbcaaaabbaacbbcbcbccbcaacaacbabaaabbccaacaaaba
+aabbcacbbcacbacbbbcbcccababbbbcbbacbababccbaaabaaccacabcbabab
+ccacbcbbacbaccbbbbaababaaacabbaaaaccbbbbaabaabcbacbbcbbcbcbababacbaacbabcbaaabaccbbcb
+abbabcccbacabbcbabcabcaabacacacabccbcbcbcbaacabbcccacabbbabcacbababaacabcbaacbbcaacaccc
+aaacaaababbbaaababbbbabcaabcabab
+acbcbbbbabacbcacaccbaacabcbcabaacba
+bccbaabcabbcbccbcbbccbbbccbbbaabbbcbbbbcbaccccccaabbcbbbaaaababbb
+aabbabbcbbaccbbcbaaaabccab
+bcabbbbccacaaaacaabccabbcbbcccbacacccabacbbbcab
+cbabacccccbaaabccccbbccacbbbcbabacaaabcacacacabcbabccbaabbbbbccbbbcbccbbbcba
+bcaabcaccbcacbaccbcbaccbabacbabbbbacbbaabaaaccaccbaaaabcbac
+bbbcabacaaaacaaaaabbcccccaaccbaacbaacacacbccabbccccaababbabaaccaacbabbaccabaa
+bcbbabcbcccabcbbbbaaaacabaacbbacbccabccacbbabbcaabcabccbccccacbbcabbc
+cacbbcaabbcbacabccaabbacababcccccbabbabcaabcbbbaabcccbaaaaaacacccbabbab
+acacacaacabbcaabcbcbccbaaaacaacaaaaacabcbacabccbacbccaacbbcbcaacbaaacbaabbccbabacacccccba
+caabcccabccbbcaccbaaabacbbacaabacbcabaaaabcaccaaacabaaaabbcbb
+aabbacabbbbccbaaacbcaaabcaaaacababbbcccbbbccbcbcbbbccccbbbaaccabccccbcaccabacbbababacbaaaacaabacbbcca
+aacacabaacccbbccbcbbaaccaaaaacbabcbcaaaabcaaacacaaaaabaaccaaabacccbcbbbbaccbbbaababcc
+bbbcbcbacbabbcaaaaaaacbabacacbabbbaacbcabbbabcbbbaccba
+bacbaabbcbcaaacabbcabcccaaaacbcbcbbacabacbaaaababbcacabcbaaaabcccaacaacccaaabbbcbaaccbcabab
+aababaacabaabaaaacbabaacccbacabcbabaababbcacacaabacbb
+aacbacbbccabaacbabcbababccbcccabcaabbacacbcaccaaaaaaabcacbbacabaaa
+abcacacbacaabaabbcaabcababbbbacaaacbaacbaaaacaaaaccccbbbcacccabacaabcbaaccbacc
+ccabaacbaacbacaacccacaaaabacabaabbbccaaaaaaabbabbc
+acbbbcccbabacccaccbbbaaacaccbbbacaa
+abbbacbccccaaccccabacabca
+bcbcbccbbbbaababcacccccaccbbc
+bcccbaaabaaccbcbabaabbcabcbcbaccccccbaacababbcbbcaacbababcabbbacbacbabbccacacccaaabaccccccbcbcbbbbaaccbcc
+cbcabaaaccacccaacacaacaacacaaaabcbacbabbccaacccaacababacccbaba
+abbbbaabbccbcbbaabacbccbcabbbbcaabacabaaccabbcbcccbaaaabcbaaacabcccbcbbccbbcaaaabbccbabcbbabcbabcaa
+aaaacbccbaacbacbcacbcbabbabbcbcaccbcaababcaacaccabacbaaaaaccaacbbcabbccaccaa
+abacbcbcaccabbbaaccbcbbbbabccabaabaccbacccabaaaaccbcbabaabc
+bacbccbacaabbcccccbaccbccaacaaaacbabaabcccaacccabbaaaacacabacbcbcacbbbbacbaaccabccacbbbbcabccaabcbbcba
+cbacbacbabcbabbaaacbbacbabbacbbccaacacabbaacbbabbbbbbacaabccabbbbbbbcbcbccaccaccabcbabcbabba
+bbcaccaabbacbbaccacbbbbacaaabbbbbabacbbaaabcbbabcabbbaabaccbcbbaaaaacbccabcccbabbacabcacbcaabbbacabbababa
+bbabbaccaacaababbaacbcbccabaabccbccbbbbcaaccaabbcaacabbbcbcbcbaacacba
+223 74
+aabaabaabbbaabaababababbababbbaabbbbaaaabbbbaaaababbbabbbbbabababbbaaabb
+bbbaabbbabbaababaabbabbaababbbbaabbababbaabaaaaaabbababbbaaabaaaaaaaabbbbabbababbaaaaabbaab
+abbabaaaabbaaabbbbbbbabbbaabababa
+bbabbabbaabbbbabbabbababbbaaaabaabaabbaaabbbbbbabaaaaababaabbbbbababbabbbbaabbbbabbbabbbab
+aaabaaabbaabaaabbabbbabbbbbbbaaabaabbbbabbabbbaabbaaabaabbaaaabbaaaaabbbbaaabbabaaaabbaaab
+babaabaaabbaabaaaaabbbbabbbaabbbababaa
+bbbbbbbbbbaaabbaabbbaaaabbaaabbbabbbbbaababbbaaabbbbbaaaaaabbabaaaaaaaabbbbbaababaabbbabaab
+babaaabbaaabbaabaaabbbbababbaabaabaaabaabbaaababaabaaaababaaabaabaababbabaababababba
+bbabbaabbbbbaa
+bbbbaaaaaaabbabbaabbbbaababaabababababaaabbbbaaaaabbbbbbaabbaabaababbabaaaabaababb
+aaaaaabaaaabbbaabbbbababbaabbbabbabaabbabbbbbabaabaaaaaaabaaabbbabbababbbabaaaababbaaabbbbaaaababa
+baabbbbbbaabbbbbbbbbbaaaabbaaabbbabaaaababababbabbabababaaababaaaaba
+bbbabbabbaabbbbbbababababbababbaaabbaba
+abaabaabbbbabbbbbabbbbaabbbaaaaaabbabbba
+bbabaaabbbaaabbbbabbaaaabbaabbbbbabaaaababbaabbabbaababaaabbbabbbababbaababbbabaababbabababbbaaa
+aabbabbaaaabaaabaababbaababaababbaabaabbbbabaaaabaaaabaaaabaaba
+aababaaabbabaabaabbaababbaaa
+bbbaabbaaaabbbbaaabbbaaaaaaaa
+bababaaaabbbaabababbbaabbbabbbbbabbb
+aabbabaababbababbbaabbabbbbabaabaaa
+abbbaaaababbbababaaaaaababbabbaabbaababbababbaaababbababbaaabbabbaaabbaabbbbabaabbaabbaabaaaaaaaaaaababaa
+babbbababbbbbbabaabaaabbbbaabababaaaabbbbabaabaaabbaabbababbabbbabbbabbbaaaaaaaaaabababbabaabbbaaababbaaa
+babaabbbaaababbaabababbaabaababaaba
+abbbaabbababbabbbabaaabaabbabbbaaaabbbbbbbbabbbabbaabbbbbbabaaabbbbaabaaabaaaaaabaabbabababbbbaaabbabaa
+babbbbbaabbaaababbabaaabbaabaabaaabbabaaabaaaababbaaaabaabbbbaaaabbbbbbaaaba
+abbabbbbbbbabbaaabbbbaaabbabbabbbbababaabaaababbbabaaababbaabbaababbbbbaaaaababbabaabbabbbbbbbaab
+abaaaaabbbbbbbbaaabbbabbbbaabbbabaababaabaabaabbaaabbabaaaabbbabaab
+babaaaabaaababbbbbbabbabbbbbbbaabbabbababaababaaabaaabb
+aabbbaaabaaabaaabbaaaaaaabbbbbababaaaaababababbaaaaab
+abbaaababbabbaabbaaabababaaaabbaabbababaaaabababaabbaaaabaabbaaaba
+abaaaabbbbabbbbbaaabbaabbaaabbbaababbbbaabaaaaaaaababaabbababbabababbaaababbaaa
+abaaabbaaabbbbababbabababbbabbbbabbaabab
+baababbbabbaaaaaabbbaaaabbbbbbabbbbabb
+aabaaaaaaaaaaaaaaba
+bbaababbabbbababbaabababaabbababbabaaaaaababaabbabaabbb
+ababbabbabaaaabbabababbababaab
+baaaabaaabaabaaaabbbababaaaabbabbaabbaaabbabaababbbbaabba
+baabbbbbbabbbaabaaababbbababbabbbbabaaaababababbbabbbabbaa
+bababbbbbaabbaaaabababbaabbbbbbbaababaababa
+aabaababbbabbbabaabbbbaababbaaaaabbbbabbb
+bababaabbbbbabbbaabaababbababbbabbabbaaabbabaabaababaabbabbaaabbbabaabbbabaaaaa
+bbbbabaabbababaabbaababababa
+aabbaaaaaaabbaabbaababaaabbabbbaaaabbbb
+aabaabaaaababbaaababbaaaaabbabab
+bbbbaabbbabbbbbbabbbbaabbabbbabaaaabaaabbabbabaababa
+abbabbaaabbbaabbaaaabaabbbabbbbbaabbaabbbbaaabbbbabbabbabbbbbbb
+baabaaaabaabaababbabbabbbbaaabbaaaaabbaabbb
+bbbbbbaabaabaab
+baaaaabaaaaaabbbaaaaaa
+abaaabbaaabbabbaabbbaaaaaaaabbaabbaaabaaaabbaabaaababbbbababa
+baabbbaaababbbbabbabbbaabbabbbabaaaaababbbbbababaabaabbabaaaabbaabba
+bbabaaaaaaaabbaababbbbaaaabbbbbabbaabbbabbabaabbbbbaaabbaabaaaabbaaaaabbbbbabbabaaaabbbbbbaabaaaaaabbbabbbab
+bbaaabaabaaabaabbbababaabbaaabaaabbbaaaabaabbaababaaabb
+bbbbbabbaabb
+aabbaaaabaaaabbabaaabb
+abbbaaabaaab
+aaababbabbbbbbaaabbbbbbaabaababbbaaaababbabababbaabbaaaaabbba
+babaababbbaaaaaabababbaaabbbabbaaaaaabbabaabbbbabababbb
+abaabaababbbaabbababbabababababaaaaaabababbaabaabababababbba
+abbbaaabbbabababaababab
+baabaabbababbbbbababbabbababbabbaaaaaabbbababbaababbaabaaaabbaaababbbaaabaaabbbbbaabaaabbbbaabbabbbbaa
+abbabbbaaaabaaabbababbababbaab
+baaabbbbbabbbaaab
+aabaababaababaabbbbbbbabaabbabaababbabbaabaaabaabbbababaaabbbabbbbabbabaaababaabbaabababbaaabbabaabbbba
+bbbaaabaaaaaabaabaabbbaaabaabbbbaababababaaaaababbaaaaaaabbaaaabbabbbabababbabaabaababababaaabaaaa
+abbbaabaababbbaaaabaaabbbbabbaababbaaaababbaabbbbbbabbaaaa
+aaaababaaabbbbbaabaabbaabbbabaaabbbbbbabbbbbaabbaaaaabbbabaababababaaabbabababaaababaaabababa
+baabbabbaabbbabbaabbaabbbba
+ababaaababbaaabbbabaaaaaabbbababbabaaaabaaaaaabaaabaaaababbabbabbbaaabbbbaabbbaaababbabb
+bbabaaabbbaabaaaaaaaabbbbbbaabaabbabababababbb
+baabaabbbaabbbababaabbbabbaaaaa
+aaabababaaabbbaabbaaabbaaabbbbbbababaabbaabbbbaabbaababaaabbbbbaaaabbbbbaabbabbbabaaaababbabaaababaababababa
+abaaaaaabaababaaabaababaaabbbbaaaaaaabbaabbabbaababbaabbaaaaabbbbaaaabaaaaaabbaababaaabaabbbaabaabaabb
+ababbaabbabbabbaabaabaabbbbbaabaaaaabaaabbbaabbaabaabababbaabaabbbbbaabbbaaababbaaabaabbbaabababbbb
+babbaababbbababaaabbbbbbabbbabaababbabbaaab
+ababababbaabbaaabbbaaaabaabababaabbbbaaabbbaabbbabbbaabbbbaaaaaaaaabaabbbaababaababaabaaaabbabbbbb
+baaaabbabbbbaaaabbbbbaaabaaaababaaabbbabaababbbbaababbaaa
+bbaabababaaaaababbbbaabaabbbbbbaabababbbbaabbaaababbabbaabbbbbbbabaabbabaaba
+bbabbabbbaabababbbabbaaaabbbbabababaaabbaababbbaaaababaaababbbbaaababbbaaaaababaaaaababbbbaaabbbbbbabbababab
+abaabbbabbbbabbabbabbbbbaaababbabbbaabbaabbbbaabbbbbbbbaa
+baaabaabbbbbbbbbbabbabaabbabbbabbababaabaabbbbabbbaaabaabaaabaabbbaaababaababbbaaa
+ababbaaabbbaaabaaaabaabbaabbbbaabbaaabbaaabbbbabbaababababaaaaaabbbabababababbabababaaaabb
+aabababaaaaababbbbbbaaabbababbbaaaabababaababababbabbbaababaaaabbbbabaaaabbababbbabaaababaabbabbbbaabbbbbaa
+abbbabbabaaaabaabaababbbabbababbaaaaaaaaaabbaabaabbbabbaababbbbbbbabbabbababb
+aaabbaaaaababbababaabaabaabbbaaabaabaaabbaaabbaabbaababbbbbabbbababbbbababbaabbbbaaaabbaabaa
+bbabbabababbbbbaababaabbbbbabbaabbabbbbaabbbabbaabbabbbbbabbbbbbbbababa
+bbbaaabaabaabbaaaaababbabbbbaabaabaaabbbbbaaabababbbbaabaaaaabbaaaaabbabbaaabbbabaaabababbbbababaabaabb
+abababaabbbbababbabbbb
+aaabaaaaababbbababbabaababbabababbbbbbaabaaabbababa
+bbbababaabbaaababbabaaabbabbbbbbbaaaabbaabbabbbabbbbaabbbbbbbabbaabbababa
+aaaaaabababbabbbabbaabaaaaabaabbaababaaabbbbbabbaa
+babbbbbabbaabaaabbbbabbbaaaabbbbaabaaaaabbbbaabababbbababaabaaaaaab
+bbbbbabbbbba
+bbbababaababbbbbabaaabbbbbabbbaaaabaabaaaaaaaaaaaaabaabababbabbaaa
+bbaabaaaabbabbabbaaabaaabbaaaabaabbaabbbaaabaa
+abbabaababb
+aabbabaaabbaabbabbaabbbbbbbaaabaaaaaaaaababbbbabbababaabbaabbabbaaaaabaabbabbaabbbbbababa
+baabaabbbaababbbbbaaaababaabababaaabbbaabaaaababaabbbaabbababbaabaabbabaaabaaaab
+bbaaabbbbbbbaaaabbab
+bbbaabbbbabaabbababbaabbaaabbbbbbaabbbbbbabababaaabab
+aabbbbbbbbaaaaaaabbbbbbababaabbabbbababbbbbabaaaaaabbabbaababaabbbabaababbbbaabbaabbaabaab
+bbbbbababaabaabbbabbabaabbbbbaabbbbabababbbaababbbab
+bbbbaabaabbbabbaa
+bababbaabaabbbb
+aabaaabbaababbbabababbabbbabbbbaababaabbbaababbababbabbabbabbab
+bbbaabababaaaaaabbaabaaaabbbbabababaaabbabba
+ababbaaabaababaaaababaaaabbbbbabbbbababbbbbabbaaabbbaabbaaaaaaaabbbaabababbbbaaababbbaba
+bbabaaaaabbaaaaaababaabbaaabaaaaabbabaaba
+aababaabbbabaabaabaaabbabbababaaabbabaababaab
+abbbbaaabaabbbababaaaba
+babbaabaaaaaababbbbbabaabbbaababbaaabbbabbabbababbaaaabaababbbabaabbbbabbabba
+aaaababaabaaaaabbabbbba
+aaabbaababaaaabbaaaaabbbaabaaabaababbbbbabbbbbbbbaabababbbaaaabbbabaabaaababbbaabbba
+aaaabbaabbaabbaaababba
+abababbaaaaabaabbbabbbaabaabaabbbabbaaa
+babbbabbbabbbabaabbabbaababaabbbabbbbaaabbbabbbbabaaaabbbababaababbaabbbaabbaba
+babaaaababbbbabbabaaaabbabbabaaaaaaabbbaaaaaabaaabaabbbabbaabaabaabab
+baaaabbbabbaaaaabbaabaaabbbaaababbabaaabbbbaaaabababaaabaaabaabbaaa
+bbbabaaababbbbabaaabaaabababbabbaaabbbaabbbaabaaaaaaaaa
+abbbaaaababbabaaaaababbababbabbababbabbbabbababababbbaabbbbabbbabbabbbaaabbaababbbbbaabbbbbb
+ababbbbabaaaaabaaaabaabaaab
+baaababaabababbbaabbbabbabaaaaaaabbbbba
+bbaaabababaabaaaabababbbbaababbbabaaaaabababbaaabaaaabbbaaabbbbbabbababbbbbbbbababbbbab
+aabbaaabbbabbaaaabaabaaaaaaaba
+babbbbbbabaabaabaabbaabaabbbaaabbbaaabbbaaaaabbabababbba
+babbaaababaaaabb
+bbabaaabaaaababaababababbaabbaabbabbaaabbbabbaaabbbabbbbabbaabbabbbbbbbbaabb
+abbbbbaaabbaabbbaaabababbbbabbbabaabbabbabbbbbbbaaaabaabbbabbaaaaaaaaa
+babbababaabbaaaaaabaaaabababaabbbabaaaaaabaaabbabbaabbbaabbaababbababaaaabaaaaaabbbbbaabbab
+aababbabaabb
+abbbbabbaabaabaaaaaababbaaaaaabbbaabbabaaabbaabbbbabbbaaaababbaaaabbabb
+ababbaabbbbabababbaabaaabaaabaababaaababa
+aabbbabbaaaabbbabbaabaabbaabbbbbaababbaaabbabbaabbbabaabbaba
+abbaaaaaabaabbbbbabbbbbaaaabaaabbbbaaaaaabbbaabbabbaaabaabbbabbbaabbabaaaaaaabbbbabbbaaabbabbbbaabbaababab
+aaaabbaaabaaaababbaabaaaaaabababbbbaaaababbaaabbbababaaabbabbabab
+aabaaaaabaaba
+abbabaaabaabaaaaaababbbaab
+abbbabbabbbaabaabaaaabbababbababbaaaaabaabbaababbbababbaabbbababaabbaabbbaaaaaaaaabaaa
+abbbababbabaabbbabab
+aaaaabbbaaabbaabaaaabbababbbabaaabaabaaababbbabbbbbabbbbbab
+bbabbbbababaabbbaaabb
+bbbbaaabbbbabaaabbbabaaaaabbbbbaabbababbaabbaaabbaaababbaababbaabaaaaabaaa
+bbaaabbabbbaabbbaababbbaaabababbbbaaaaa
+abbabbbbbabaaaabbabaabbabbabbababbbabbabbbba
+babbabbbbbbbbaaabaabbaaaabbaabb
+babaabbbabbbbabaaabbbabbaaaaaaabbbbbabaabaaa
+aaaababbaaabaaababbabbaabbaabb
+baababaaababbbabbaabaababbbabbbbabbbbbaaabaaabbaaaaabababbabbbbaabbabbabbaabaaabaabaababaabababb
+baababbbabbababaabbbaabaaabbbbaabaaaaababbbabababbaabaabbbaabbbabbbaaabbbbaabbbbbbbbbaabbbbba
+babbbabbbabbaabbbaaabbbbbabaabbbaabbabbaabbaabaaabbaababaabaaaaabbbabbbbbbbbbaabaababbbaabaa
+aaaaabaabbabaaaabaabaaaabaaaabababbabbaaabbbbabaaaaabaabbabbbaaabab
+bbaaaabaaaaaabbbbaababaabaabbbaaabbabbaabbbbbbbbaaababbbaababaaaaabbbbbababbbbabbabaaabaaba
+babaabbabababbbaaaabbabaabbbbaaababbbaaabbaabbaaabbbbaabaaaa
+abbbabbabaaaaababaababbbabbbaabbbbabbbbbbabbabaabbbaaaabbabbababababbbb
+aabaaabbaabababbbaaabbbaabbbaaababbababa
+ababbbbabaaababbbbaabababbaaaaaaabbbbabbabbbbabbaaabaaabaabbbbaaababaabbaababbbaaa
+abababbabaabbbaaaabbaaaaaabababbaaaaaabbbbaaaab
+aabbaabbabaabaaabbaaaaabbbbbbaabbab
+abbabbaaabbbabbbbbaabbbbbabaabaaaaabbbabaaabbaaabbbabaababbbbaabbababaabbababbbbbababbababaabaabbababbbbaaaab
+bbababbbbaabbaaaaababaaaaaaaababaabaabaaabaaaab
+abaabaabbbbaaabbaababaaababbabbaabbabbbbabaaaabbaabaabbbbababbababbabaabbaaaabababbaababbabbbbbabbb
+bbbbbbaaabbabbbaaaaaaaabbbbabbabbababbbbbbbbaa
+bbabbabbbbaabab
+bbabaaabbababbbbbabaaaabbabbabbbaaaaabbaaabababaaaaaabababba
+aaabbabbabbaabaabaaabbabbaabbaabaabbbbbaaaabababaaaabaaababababaabbaaabbabaaaaabbaaaaababaababbb
+aababbbbabbbbabaabbbbbbaabbaaabbaaababbbabbaabbbbbbabababbaabbbbbb
+aaabbbbaabbaaabbaabbbbabbaaaabaabbaaaa
+baabbaabbababbaabbaaaabbaababbbbbbaaa
+bbbbabbaaabbabbababaaabbaabaaaababbbaabaaabbbabaabaaaaabbbababbabaaaaababababaaba
+aabaaaabbaaaabbabbabaabaaabbbaaaaabbabababbaaababbbbaababbbbaaaaababbbaaababaababbbbabbabaabbabaaba
+babbbaababbbaaaabbbaaabbaaabbbaabaaabaabaaabbaaabbaaaababbaaabababaaaabbaababbabaabbaaabbbbbbbbabbaab
+baababbbaaabaabaabbaaabaaaaaababababaaabbabbaabbbab
+aabbaaabaabbaabaaba
+aabbabaabababaaabbbabaaaaabbabbabbaba
+aaaabbbbbabba
+aaabbbaaaaaaabaabababbbaabbaababbabaaabbbbababaaabababbbbbbbbaabbababbaaabbabbbabbaababaaaabab
+bbaabbaaaabbbabbabbaabaabbaaabbbbaabbabaaaaabbbababbbabaaabbabbabbabbaabbabbbbaababbb
+abbaabaabbbabbabbaaababaaabaababbbbabaabaabbabbabbbbaaaababbabbabaab
+abaaaaaaabbaaababbaaabbababaabbaabaaababaaabbaaaaaababaababaaababbaabbaaababa
+abababaabaaaabbbabaababaaababbb
+bbbbbbaabbbbababbabaa
+babbababbbbbbbababbbabbabaaaabababaaabbbbaabababaaababababaabaabbbaaaa
+baaabbbbabababbbbabbbabaabaababaaab
+bbbbbaababbbbbabbaabbabaabbaabaabbaaabbbabbbaabbbbaabbaabbbabbabaabaabbabababbbbaabaabaabbbbbaaaabaab
+bbabbbbabbbbbaabbabbbabbaaaaabbaaaaaabbbbbbabbbbbaabbaaba
+bbababbbbbbabaabaaababbb
+bababbbbbaabbababbbaabababbabaabbaabbbabbbbbbb
+babbbabaaaaaaaaaabbbabbbbabaaaabbaabaaabbabbbbbabbabaabababbbaa
+abaabbbabababbbaaaaaaaababbbbababbbaaababb
+aaaaaaababbaaaabaaabbabbbaabbbaaaaaababbabbabaaabbaabababbaaabbabababbbaaabbbaaaabbbbabaaabaaaa
+bbbbabbaaaababababbaaababaabbbaabbbaaaabaababbba
+aabababaabbaabaababaabbbbbbbabbbbba
+abbaabaabbabbbabaabab
+abbabbbbaaaaaabaaaabbbbababbaabbaabaaabababbbabababbaabaaabaaaabaabbabbaaabbababbbabaaaabbaa
+abbbababaaabbbaabbababaaabbbaabbabaabbaabbbbbabbb
+bbaaaaabaaaabaabbbbbbbbaaaaabbbbaabbbbbababbbabbabbbaaaabbbbbbaaaabaaaaaababbaaabbbabaaaababbbb
+ababbbbbbbabbabbababaabbaabaababbbbbaaaabbbabba
+baabaaaaaabbbabaaaaaabbababbb
+aaaababbaaaabbbbbb
+bbaaaaaaabbabbbbbabbaabbbabbbaabbbaa
+bbbabbaabbababbaaaabbababaaabbaaaabbabaabaaabbaaabaaaabbbaaaaababbaaabbbabababaaaaaababbbaababaabba
+bbaaabbaaaabaaaababbabbaaaaabbbbaaaabaabaabaabbbb
+baaaababaabbaabbabbabaabababaaaa
+babbbbaababb
+aababaabbbbaabbaabbbbaaaaabaabaabaabaabbababbbbaaabbababaaaaabaaabbbaabbbaababbbbbabbaaababbabaa
+baaaaabaabbbaabbbabbbaabbbabaabbbaabbaaaaaabababbbababbbbbbabaabaaabaabaaaaaabbbbabbababbaaababaaa
+bbababbababbbbbaabbbabbbaabbaaaabbabbbaaabbbbaabaaaabbaabbaababaabbabbaaba
+bababaaaaababaababbbbbaaaabbaabbabbbabaaaabababaabaabaaaabbbbabbbabbbaaaaaaaba
+aababaabbabababbabaababba
+bbabbbaaaabaaaaababbaabbbbabbaaaaababbbbbababbbbabaaabaabbabbabbaaababbbaababaabbaaabababaaaaabbbaa
+bbaaaaaabbbaabaaaaaabbab
+bbababbbbbabaaaabbbbbbabbaabbabbbaaaabbaabababaabbbbbbaabbbbabaaaaaabaabbbabbbbbbaaa
+abaabbaabbabbabaaaabbbabbaaabbbaabbabbbbbbbababaabaabbaabbababbababaababaaaa
+aabbaabbaababbbbababaabaaabbaa
+bbbbabaaabbbaaaaaabbabbaaba
+bbbabbabbbabbbbabbbabaaabbaabbbaabbabaaaaabbaabaabbbbbbaabbbabababbbbbabaaaaabbb
+babbaaaaaaaabbbaaaabaabbabb
+aaaaabaabaabbabababbbabbbabaabbabababaaa
+aaaaabbabbabbaabaabbbbaabaaabaaaabaabbbbbabbaaaabbbbbaabaaaabaaabbaab
+babaabbbaaababababaaaabbbbababaaaabb
+babbbabbbbbaaaaabbbaabababbbbabbbbbbaaaabbababbbabbbbbbaabbaaabbbaaabbb
+bbabaaabaaaaaabaaaababbaababbababb
+baaaaaabaaaaaaaaabab
+19 8
+aabbaababbabaaabbbbabbabbaabbbaaabbaaaaaaabbabaaababbbaaabbbaabbbabbabababaabbabaaba
+aabbbabbbab
+bbaaaaaabb
+bbaabaabbbbbaabbaaaabbaaabbabaaaabbaaabbbaaaaa
+bababbaabbbbabbbabaaabbabaabbbababaaabaabbbabaaababbbaaabbbabbabbbabbbabbabbaaabababbabaaabaaababaaba
+abbbabaabbabbaaaabababaaaaaaababbbabbabbbabbabbabbbb
+abbabbaabbbbbabaabbbbabababaaaaababbbababbaaaaababbbaabaaabbabaabbaaabbabaabbaaaaaaaaabaabbaabbaaababb
+aabbbabbbbaaabbbbaaaabbabaaaabb
+bbbbbababbaaabbabbbaabbaabbababbbaaab
+aaabbbbbaaabbbaaaabaaabbbaabbbbabbabbbb
+bbaaabaaaaab
+abbbabbbbbbabbabbbaaabbbbbaabbbbbaaaabbbbbbaaaaababbbaaaabaaabbbaaaabbaaababbbababbabb
+bbaaaaaabbaaababaabbbabaabbaaabbabbbbbbbabbbbbaaaabbbbabbaaababbbababbbbbbaaaaaaabbbababaaaabaaaaabbb
+aaabaaabababbabaaabbabaaaaaaaabbbaaaababaabbabbaaababaaababaaababbaaabbaaa
+aabbbabbabbab
+bbbbbaabaabbabbabababbaaabaabbb
+babbbababaaabbaabbaabaabbaaabbbbabbabbbbababaaab
+aaabbbbbabbbbaaaaabbbabbbabbbaabbababbbaaabaaaabaabba
+bbaaabaaaaaabaabbabbaaaaabbbbabaabababbbaaaaabbbababaaabbababaaabbabababbaaaaaaabaababbaabaaaabbaabbbbbaaaaaa
+231 39
+bbcccbbabcabcccacacaccbacccacaccaabbaacacacaaaacabbacabbcaaba
+aabaacaccbabbbcbacbbcbaaacaabcaaaabacaccaaab
+aacacbcbbcacabccacabababbcbbbcabccaccccaabbaabcccacbbaaacacaabbacbaaac
+aacccbcbcabbbbbaacbcccbbbabbbaacccaaaabaabacacaabcccbccbcbaaabbcbbaabccccbabacbacabaaaa
+bacacaababbbaccbabbacbbacabcaacbcbbbbbba
+aabacaccccaabccabbbcaacbcbccccbcccbccac
+abcbbbaaabcbacccaabacbcaabacbbbcaaababacbccacbbabcbbcbcaccaccccabccaaacccaabacbac
+cabcbababcabbac
+cbaacbabaccabbcabbbcbacacbabbacabaccabcbaaabcabacbccaabacbc
+bacbabbbcaaacbcaabbbcbbbbbbbcacacabbaabcbccccacaaacccacaccabbaccaabaabcbbcacbabbabaccccaca
+caabbabaacccbccbccbc
+babbaabcbcaacbbacaccacacaacababaaaaaccacbccbcaccaabccbccbbcccaccbbbaabccbbcbbcaaaacbca
+caccaccabcbcacacabccbaacccaabcbcaacbccacbbccbccaaacabcbbcaacccaabaaacccaabaaacabbaababcbbabbabbb
+ccccbcaaacabacccabbaacaaaabacbbccbcaccbbaacbbbacabbabaaabbacbacbaabaabacacabaaabcbabccccbbcaccbbccb
+abaabbabaaaaaaacacbacaccababcccbb
+aaaabbaccaccabccabbbbbcbbaca
+aaaccbbccccbbaaccacccacacbaaccccaabbcacbaaaaccacccbbabbccaaccbbcacaacbbbcccccbaaccacb
+accacabaaabcbaabbacaccabcaaabcbcacbabaaccbbccaacccccccaccaabaccaaaaacbbbbbbbcaacbabbcbcbbbbaccaacbbcacccaac
+cccabbaaaabcbcbb
+acbbccaaacaacabbabcababaabbbccaccacbcbcaaaabacacbcbacbabcccaaacacaaabbabcabcbcbbcaabbacbacbbbcbccbabacccbcaa
+caaccccaccaabcbcacbccbaabcbbaacbbacabbabcaabcaabccaacacaabaaacababbbbbaaaabcacacbcbcaabcccab
+aaacbcaacbbbaacccbaccbaccbcccacbacbcbabbbcaacbbccbbcaccbccaccccaccbabaabcacbccbcabbbabcbbacacccabbabbbbb
+aababbbbabccabacbccbbaccbbabaabcaacbbbbbabccccbcbaccacbcabcccaccacacccaabccabbacbbbacbaacbacbbbccabaa
+ababbaccccbb
+aacbbaaaaacaaccbabbacaacacccaacabbaccbbb
+cacaaabbaabbbbccccbaaabccbbccabbacbacccbbccabacbacaaacccabaaacbcaacbbcaccaacc
+cacbcabbacbbccaabcabbacbbcbcccabbbccaabbbacaacbababbabcbcccabbbcbbacac
+bbacacbbbcbcbbaaabc
+cacaacccaaabababccabaacacbccbacbabcaa
+bcbccaaaacccabcaabccacacbbcaccbaaaaaabaabcbbcccaccbbccbcbaacbaabbbbbbcacbaaccacbbbacaccbcabbacabaccbac
+cacaabcbbccacaacbacbbbacaabcbacbcaccbccaaccbabaaccb
+ccbccaaaacabcbbcbacccaaacaccbacbcbcbbab
+ccbbcabacacbaccaaaaaaccccaabbacbabcacaaabbcacacabaabaabacabbaccbcaaaacccabcabaac
+babaaaabacbabaaccaacccbbabcaaccaccbaaaaababaacabbaccaabaaabbcbbabcbabcbcbbbcbccaaabccccccaaabbacbabb
+bbbaccabbcaccaacabaabbbbbcacacaaababacbcc
+cacbacaaabbaaccaccbcabaaacbbabaacbcbcbcbbbaaac
+acccabababacbaabccccacaaccbbaabbcaaabcacbccc
+cabcbacccacaacbcbbacabcccaacabcaccaaaccaa
+cbbbbabaaaaaaaccaacbbabbacbbbcacaacccaacccccaaabacbcaabcacbbcbbacbcacccaabaccbabbabccbaababcbaabaab
+aacccccaabba
+cabcababcaacacbaaabcacbcbcabbaacccacbbbabccaacbacaacbbcbbccaaaccbbbcabbbcababcbcabccaccccbbbcbbc
+bacbbbabcbccabcbacabacbbacaaabaccba
+aabacabcabbcbacccbbcbaabaacbabaaacacacaccaacbabcabbbbcbabbcbccbca
+caacccacacbbabccbacaacacccbaabaaabbbcbcbabaaacbccb
+abcaabccaacaacaabcbaaabaababbbccba
+babcbaabaaababacabbbbcbbbaabacbbaaabcaabcaacbbcccbbcbbabbacbbcabbcaaaababbabccccabc
+aaabacccabbccaabbbabbacaacbcbabcaacaabcaac
+aaccbbabbacacacbabcabbbccacbcbcbbacbcbacbacbaccbaababbcbaaaacbaccbbabcacbbccbbbbcabbcbaca
+cbcabccbbbaabaaacbcbbbbacccbcbaaccbccbacbacbaabcabccbacbbccacbbbbcabbcbacaaababcbaababbbacaaab
+aaacbbabcaaaccbacbccbbbaccabbbbbabcaacbbccaccacaaabaabbcaacbcbabcabbbaaabccbaccaaaaacccbacbbabbacbccabcbbabca
+cccbcbabbcaaabcabc
+baabaacbccbbbcabbbcacaabcbbabbacbabaccccccccccacbbbcaaacbccccbaccbcbacbcbcca
+babbacbcbbbabbcccbbcbbbbcbaccaaabbc
+acaabbacbbcbbacaccaccbabaaacbbaaccabcaaaabaccbbbacccccacaaabbaacaaca
+acabccacbbabccabccbcbbcccccaaaccbccabbccaccbaccbcbcabcbacaabccbaaccabbbcbaacccbccacbababbcabcbcaccc
+bcccacbbacabbccbcacabcbbaaaacbbcacabcbabbabaacacbaaabbcbaccbbaccaccbbbacbccacbababcbabababbcbcbb
+abaababccbbbccbbabbcaaaaacaabaa
+cbbccbccaabcaabacaaabaaccccabccccacbcacccccbbbccaaacbcaabcbccaaccc
+aababbbcaabbcbccbaaabbaaabcbcacbcbabcabbaccaccacbccbcbcbbcccababcabacbbccabcacbcbbcacccacbbccaabaaa
+cccaaacbcacbaaaababbcccaaccccabcaacabccaaabbcaabacbcbabbabcaacaabbbcaaccabbccabacabccbabbbcbccaaaccbaac
+abbcccccbbccccacacbaacacabcaacbacaabacbcbaaabbbacaccbabbcacacbbaabcbaacabbccacbacccabaaccaabaa
+cbbbcaaccbcbaaaacb
+abbcacccaaabbccbccbbcaabaabcaaaabbabcbbbbccbccbccabbbaacabbcbbbcaabacccccaacaca
+ccbaacabcbabcccacacbaccbcacbacbccccabbacbbcbacacabbbabacaababbbcabbacaacaaccccacaaccbabcaa
+cacbacacabacaabbcccbccbcbacbcccaabcaaccacbbcbcacaabacbbcacabcaccabbbcacaabbaabbbabaaacbcaacaaabbbcab
+cbaccbcaaabcbbbbcabcacabccabbcccaabbbabcaacbaaccabaabacaaaccbabbcacbaa
+cbcbabacbacbbcbcbbbcccbaabbcbabccabbbbaabacbbcbabcbbc
+accacacccaccbccccbaaacbcbbbcbbccacacccbbaacc
+aabacabacaabaacbcaccccbccaccccac
+cbbbacbcacacabcbccccbabaaabbbaacaacabbcbbabcbcbcaaabaabbaacabcbacbbbaabbcbacbacccacbccacaabbbabacabcbbcbcacbc
+cbbbabaacbbabbaaccacbbcccacccbababcacbbacccaacbbcbabbbbcacaabaca
+aacababccacbbbacacacccabacaacbbbaabbccaacccbbbaa
+cbcacabbbbcaaabacbabcbabbbaaababacbaabcabacbabcbacbcbbababcccbcbcbcccb
+accaccaccaabcaccaccbbbccaccaaaacbaaaabacbbbcabcacbcaacbbacaabbbcacbacacacbbbbabcaabacc
+cbabbccaaabccaacbabccacccbccaabcbcccacabbbaacaaaabbbbbcbbaba
+cccbcabccbbacabbaaccaacabbaaab
+bbbaaaaaacbbacacbbaaacbabbacaabbaacaaaababbc
+babbaacccbacbbbaaccaccbacabbbcabbcaac
+aaaccabbabccbcbccbccaccccaabccbcaabcacacbcccabccacabcabcccacbbacbcaaccaaccccaabaaabcabbccacabac
+bccbccacabbbcbaa
+bbcacaccaacbacccbbcbccaaab
+ccaacbaccaaaa
+ccaaccacaaccabaacbcbcabaabbaab
+baaaccbbacbccabbbcbacabcbbcbaabcbcbaaaacbcccaccbacacccacbccbcbccbbbaabcaaba
+cbbccbaaaacccbaa
+baabaacbacaaccbbbbbaaababaaccccbbbbacccaccccbcccabcaaacbaccbbcacaaabcaccccbbacababccccbacccbcbc
+baccaaabaccbbcabaaaacacabbcbcacbcaabaabcbbccbabbbcababbabbabbcaccbc
+bababcccabaccccbbabaacabbaababccbcccacbaaacbac
+ccabbbcbaacabcbacacaccbbbbbcaacababcbbacabbbcaabbbcbaccbaccaababaabaccbbacaabbcccabbccaccbc
+ccaaacaccccbbcacccaaacbabcccaacc
+bccbcbbbcacbcbbbbaacbaabbcbabccaacbcab
+acabacaccacaccbabaaaaaaabbccbccaaabbbaccbbbaaabacbcababcabccbbbbbbacccbcbbcabcccaabbaccbbabab
+acaacbaccaacbbaaabaaacbab
+cbcbaacbbcbacaabbcabaccaccabaccababbbaaccaabaaaacbaacacbabbacaaacccbcbcbacbbaa
+ccccbcbbbbaabb
+abacbcabaaab
+cbbabbbbbbbbaaaccbbcbcabccbaaaacbcbacbababbacacbcaaaaaacaccabaccbbcbacaabcaaabaacaaacba
+ccbabbacaacbbaabbacbbbbacbababbccacccaaaaaaabaacbcaabccaccaacbacbcc
+bcacccccbaabcacbbccb
+aabcbcbcbcbbbbacbbaabcaccababbaacbacacbcaabaabaabbacbcbbcabcaccbb
+acabbbccaccbbbbaacbbcaccacbabbaababcabcaabaaccabccbbcaaacbc
+cbbcbaacaaaabaaaacabbcbbcaaabaabaabacbaaccbaacacaaccbabaccbcbbbbcccbcbcbcccbbbbbbacabbcaccbcaaaabbabbbabc
+aabccabccbbaabcbaacbccccaacacccabbccbccaacbcabbbbabbccaacbbacaaabacbcab
+bacaabcccaacbbabbabbbacacaacacaab
+caacaabbaababcaaabbcacacbcbcabcbbacababbccaabcababcbbababaccaacbbbbabcacbbcbcbbaccccbcacacccaaabbabcbcb
+bcccabcaabccbccaaccababacacbccbbbacabccbbabbcbbcbccaacbbaacccbbcbbbbaabacabcccaabbbbcccbbcccabcbbacaba
+ccbcaaacabcc
+cccbbccbbacabbbabacbcaabaaaabbac
+bacabcabbabccaabccacabbbaacbcbcabaaccabbcccacacaccaaababcbabbacacabcababaccbc
+aacccbcacaaaaaacaab
+aaaccccaaabccaaaabaccbbbbabcaaccaccabbbccbcabbccbabbaccacacacbbabcccaacaacacacbaccacca
+ccabaabccbababacaca
+bbbabacccaabccaabcbbcacbcababccbacbacbbabbbbbbbcabbbabacaabaacccabcbbbcaaaccaaccbcaccaabcacbaacccbacbaccacb
+bcbacaaacccbbc
+abacbbccacccabccacca
+cbcaaccabbcabcaacbbaa
+aaccbbbbccbacccaacacbcccaaaaccbcbacacabbabcaaacbccbaa
+babcccacacccaccbacbcaaaaacacbcbccbaacbcacbcccbababacbaaabbcccabcbcababababccacbbbccaa
+bacbaaaabaaaabcabacccbabacbbbbcbabcacccabbbbccbccacaabccabbacaaaabaab
+cbaacbbaaabbbcbcccccbbabbbbb
+acabbcbbcacaabaacabbaccacccbccacbaacccaaabacacbabbaacacccbbbccaacaccccca
+bbaccccbacabccacacabbabbbccacbabcaccabbb
+bbcccbaccaabcbcbcccabcbcbabcacbaacbcbcbbcabcbcbacbaccbaacbaccabbacbcccaacccc
+abbaccaababcaccaacabcaaacbaabbbcbcbababaacaaaacaabaccaaaaaababbcbccbccaabbabacbabccacbcbcbccabccbacbccca
+bacbabbcbbcbbbcaabbbaacabaaccbbbabacbcccaabbcbacacaaacacbaaabababaabcbabccacbbacacbabbb
+abcbcccaaaaccbbaaacbbababbbcbacbbbcb
+bccccabbbcabbacaacbcbcbacaababacaccabaaacbaabababcbaacaacbbcaacabaabababba
+cacacbcbaaaacbbbbacbbcccbaaacaacbbcabacbcabcabbbcaab
+babccbbbbabccacbbc
+cbbcbcccbbaacaacbbbbbabccccaac
+abbaababaaccaacaba
+bcbaaaaaccaaaaaababaaccaaaababbcaaabbcccbcbcaccbbcbaaccccbabbaaabbacaabbbbccbabbcbcbbcabccbbbcbbccccaacccbb
+ccbaabaaabccbccbcabbaabcbaaccabacbbcccabacbbccbaababaaaabccabaaacaccacbc
+caccccccbbcbacabcaccbbbbaacaa
+baaaabaabbacbbcbacbabbbccccacbbaacccaacaabbbbcbcbbcacaabccabcbcacccabbba
+accabbccacacbcabaabbaccbabbbccbabccbbacccaaabcacbaaaaacabbcacabcaaacbbaaccbcbbccabccabbabbbcbcabbcacbbbaccc
+cbaccbbcaccacbcbacaacbacbcabbacbacbbcbcbbabbbabbcc
+abacaabcbcaaaaabbcbaccaaacabaccac
+babacbcbbbabcbcabbacbbaacaccabbaacaaaab
+aabbabaaccaccccaccbcaaaaaaccaabcbbabaacbbbccbcccacaabbbaabaacbcbacaaabccaacacbbaaacbcabcccaaabbcbb
+cbcbcabbccabacbacbcbcacbabcacabbcabaabcbbcbacaaabcbbbcccbacabcc
+bbcababcbcabbcacccacabaccacbbccabbaababccbccaccaacccabbbbac
+aabbbcbacbacaabcaaabbaccbbbbcabacacbcaccacaabcbbbbbcaacbcaccbcaacbaaaaaabbcbb
+cbbcccbabccbbacbbbacaaaacccbaabcabbbbaabcbbaabaacaaaaabcbccbcbccccacacccabcbcb
+bacbcabaabcbcabccacbcccbbccabaaccccbcccbbbabbbbabcbbba
+abccacabbacacbabacababccbbaaabaabbacabcaacc
+acbcbabbaaacccbccbaccaabcbccbbbaccaaabbcbacbaaaacacccccacbbbacbacaaabcbcbaaa
+bcabaccbcaabbababccacacccaaaabbcaacacacaaacacabaacacababcbababcbcaccbacbabca
+accbaccaabbaaaabccbcabbbabbbacaacbbcabacbcaaababacaaaaabbccabacaacbcaaaaabcbcbccba
+aacabbabbcbaccccaba
+aaacbaacccbbaaabac
+aaccccbbcbccbbbcacbbcaaaaccbccbcbbcacbbcaccacabcacabcaaabaabbacccabcbcaabcbbcbacaccbcccaab
+bbacacccbbccbbbaabbccacaac
+abaaaabcccccbacbacaaaccabbbbbbcbcabccaccb
+cabaaabbbcccbccaabccacabaaabacbbaacaacaaababcaccb
+ccbabbababbbaacccabccabccaccccaaaaaaacbccccb
+caccbccccaabbcbacccabbcbacbabcaccbbbcbacacacbacbcabaccabcccbcaacaacaacbcbcbbac
+acabacbacaabbabacabaccccaacccaaacabcbcacbbbabccabbcbabaaabacccbccccacabbabbbbcac
+cbcabaaabbbabaaabbaabccacabaacbccbbabaabbbcbcccabababacbaccacaacaccbbbcbaccacccacb
+cabcabbabaacaabaaaabaacccbbaccbacbbaccaababcccbbbcabccabaccabcacacbabccabcacbabbabbbbababaaba
+bbbcbaccabaaaabccababbabbabcabcbbabcabccbbbaabacaccba
+cabaabcbbaccababccabbbcbaccbbcbcaabbcabbbbbaaccbacabacbaacacbcbba
+abbacbaaacccbaaaba
+baaabbacabccbacbabaccccaccaaaabbbbacacaacababaabcccbcacbcbcbcababbccc
+accbbabcacaacccacca
+acaacccccbbcabbacbcacbcc
+aaaccaabacaba
+aacccbccaaabcbccabccabacbbccaabccabaccbcaccbc
+bbcbcbbcaacbbbcbacacbabbaacbcaabccbcacccbacbacbabbccaababccabccbcbbccccccabaabaabbaabbaaccbbbcacacbcacbb
+aaaabaabcccbaabaaacaababaaccbaccc
+bcbcbaabbaacacccabcacacccccabccbbaccaccacabbcbaccaabbabcc
+cbccacbbbcbcbbbbbaccbcabbbccaaaaacccaabbccabcbbcabacaabbbccbbcbbcabcbaccbaacabaaaacacba
+bbbaccacabccbcabcacaabaaccacacbcaacacabbaabacabcacabacaccba
+abcacbcaaaaabcbaababcaccbbabaacbccbccbabbacaaabacbccbcaaaaabacbcbabc
+bcabacccabbbbcaaacbaccbcbbbacbcbacacababbababbabccabcbcbcbcabaccaaaaaaacbbacbbcabbcbccbabcbacabc
+acbccaacbbcbacccbacaca
+bbbccbbbcccbcccabbbaccbacccaacbaaccaccacacccbacbabbcccbbabcbcccbcabbcbababbaac
+bccabbcbbaccabaacaccab
+cbbbbaccbcbaacbcbcbacbaaaaacbcaabcbacacbcbcbccbbbcbaacbaccbaabbcbcabcacbccbaaabcccacbcbabcbacccccabaaacbcb
+acabcacaabbaccacacacaabbcaacabcbbcaccbacbccbcbacbcbcabacbcbbbbbaccbaababab
+cabcbbaacbabbacabacbbcccbcacccaaaabcabaaccaccaaaaacaacbcccaabaaaaaaccaaaaaabababcbcaaabbbcbcaaaabbaaabbabbcc
+ccccbbbcabbbcbaaccacbabaac
+bbbabacbacbacbabcbcbbabbbbcbbbaaabacccaabbccccbbacacaaccbcbcacb
+cacbccaccaccacbcaaccaabbbbacccabcaaaab
+caccccbcacaaabcaaacccccbaaaacbbcccbcaaaaabacbccccccccbbbcbacca
+ababaabacaaacbcaacaccbbaabaacc
+cbbaccacbaacb
+babbaabaacacbcabaacbaaaaccccccacccabbacccbbbbbaaccbcaaacacbaaacaaccccbabbacbccaabccbb
+cbcaccaccabcbabaabcacbc
+aaabaaaacaacbabccbaccccaacbbcbabbbbcbbbbaaaaac
+babcaacaacaababcbaacaaccaaacbacbaacbacacacaccbbbbbbcababcbccacbbaacacccbb
+acbaaabbbaaaaa
+abaaccabbbcbbaacbaaaaacbcbbacaccabbbbbbccbaabaabcabaabbcbaccccabbbbabbbbbccccacbcacacaacbacaaabbcaaac
+bcaabcbbcaacacaaaccbaabcaacbacacabcbcabcacbcabbcacbbabcbbacabababbbabbbaccabcacbacbbcbcbaacbcbaacaaacacbcbac
+bababaaaaccacababbabaccbbabaabbbabbaaabbacccacaccaa
+aacabcabcbccbababcbbbcaaaacacbcbbbaaaaababcabbbbacbcbacbacaccaacbaca
+ccaabcbbbaacabcaacacacccbcbbaccbacbbccbabcbcacbcbcbbcacbaaabaaacbccbbbbbacb
+ccbaaaacaabaacabbaccabaaaaababacbcbbbcabcccbcabcacbabaccbbccababccbacccacbbcbbcbaaaaccbbcabccbabbbbab
+baababacbaccabacccacbcaabacbbcbcccaccca
+cbcbaaabcbabacaaabccabbbcbaabcacacca
+aaabcacaccbccccacababcabbcabaaabaccbaaaaacacacacabcacbacaabccaaaaaabbcbaaaaccbca
+cabbaccabcbbbabcacabcbabbcbcbcaabcbcacbbacacbbababbbccccabccbccbccabaabbbbbacccaabbabacaccaabaacaccbcaacaccc
+abbcbacbcabcbbaaaaaababcbaacaaaccccbccacaacbacbcacbccaccabcccababbcaaccabaacbbaabacccabca
+caccaabacabacbbabcbbcccaacaabababaccaacabacaaababcabbbaa
+caabcaabbbbccbbacaabccbbaccbbbcaabcabaaacacbacccabbaaccabaabccbcaccacab
+caccbcbaccaabccccabcca
+caabbaaacaaabcaaacccbaaabbcbaacabbbcabccabbbcabaaaaac
+ccbaaababcabaaaaabcbbcaaababbacbabcaaaacaaaccaaaaabcbabacbcaaabbbaaccbcaccccbaabbabbcabcabbaa
+bacabbabcbaa
+caacccbcababccbaaccacccacbcbbbb
+ccacacaabaccacaccbabcabaccabcabacaaa
+aabcccbcbccbbbaccabbbcbccbcaacabacbbaabcbbabbabcbabccacaccaacabbbbca
+ccbacbacabbabcbcabacbbbababbaabcbbcbccacbcabbbccacacacbbaacaababbbbbb
+cbbbabacbacabbaaabbcccbbcbababaababcbcbabccabba
+bbaabaabbbaccaabacbabbcbcccabbcac
+bacbcacaccbbaccccbbaacaaacbacbcabcbbccacbcbcbabaaaabcabcbbbccabc
+baaaabacbbbcccbbaabaabbaaacacbaabcabcbbcacacccbbabaacabbcaabaa
+cccbaabbaaacbcbcbbcbaccacacbaacbcacbcabccacccb
+accbcbbccbcabcabaccbbaaacbbabccbabaccbabacaacacabcbbccccbbcbbacbabaaacbcbbbacbbbaaabbbacaaacbbcbaabbaacab
+accbabbbabbcbccccccbcbacaaabcaacacaccbaacaa
+caccbacccbbcaabaaabbbcaabbabccabccaabbbcbccccbcccbaaccaaabaabcaabcaccbacbacbcacacaabaaccbcbccccbacccccaa
+bcabbbccbabbccb
+abbcacccbaaaacbcaaabbccccc
+accbaabcacabbcaabacbccabcaa
+bccbccbacaaababbbccbccbbaabcbac
+bbcaabcccbaabbcacaccbacbcbcaccccbcaaabacabcacbbbabcabcacacaabacacbccbcbccaabcccacbbbccacbbacbccbbabcccabb
+bcccbbbbcabcaaccbcaccbbcbcaacbccbcbcaaca
+bcaabbcbaccbcbcacbbcacbcacaabbbbb
+ccccbccccccbcbabbaacbbcbacbaabbbcccbbbacbbaacbbabcbababcccbcbbabacabcca
+ccccabcabcbaaabaabccbacaacbcbcccaacababbacbabcaacbbaacacabacaabccabaa
+acbcaccbcbbbbbbacacbbcaacababaaacabacabababcbbbcaba
+66 21
+ababbaabbaaaabbbaabbabbabaaaaaabbbabaabababaaabbabbaaa
+bbabaabbaabaabbbabbbababababbbbbba
+bbabbbbaabaabbaaaabaaababbaabaabbabbabaaaabababbbaaabaabbbbaaaabbbbaabbaabbaabaabaaabbaab
+ababbaabbbbabbabbabbbbbbbbbbaaabbbbaabaaabaabaabbbbaabbbbabbbabbbbbbabaabbbbabbaaababbbbbbaaba
+bbbbababaabaabbbbbbaaabbababbabbabbaaaabbaabaabbbbbabbbababa
+abbabbbabbaababbbaaaababaaabbaba
+aaaababaaaaaabbabbaaabbaabbababbabbaaabaabbaabaaabababbbbbbaaaaabbbabbbabababaabababbaba
+bababaaabbbababaabbaabbbbabbaabbbaaaabaabbbbbbabbbbaaabbbbbaaaaabababbbabbababaaaaabbbbbbaaabbbbabbabbbbb
+abaaabbaabaabaabababbbbabbaababaabababaabaabaaba
+bbbbaabbabbbabbbaabbbbbabbaaaaaaabababbbaabaaaaaaabbbbbaaaaabbbaaa
+bbabbbbbbabbaabbbabbbbbb
+babbbabaaaaaabbababbbaaaaaaaaabbbbbbbaaabababbbaaabbaba
+bababbbabbabbabaaaaabb
+ababbaabbaabbabbabbaaaaaababaaabbabaabbb
+bbaaaabaaabbabbaaaaababbbbbabaaaabbba
+bbbabbbbbbbaaabbb
+aaaabbabbbabbbabaaaaababaaaabbbabbbbbababbbbbbbabaaaabbababaaaaababaaabababaaabbbaabaaaabbbbbbabaabb
+ababbbabaaaaabbbababbbabbaaaaabaaabaaabaaaabaabaaabaaaaabbbbbabaaa
+abaabbabaaaaaaabbbababbabbababbaabaabbabaabbabbaaaababbbbb
+aaaaabaaaaaabbabaaaaababbabbaaabaabbbabaaabaabbb
+abbabbbababaaabaabababbabbbbabbabbbbbbbbaaabaaaba
+bababaabaaaaaabbabbaaabaaabbbbbbababbbbaaaabbababbaaabbaabababbabaabbbaaaabaaaaabbbabaabbababb
+abaabaabaabbaababababaaabbaabbbbbaaabbabbbaaabbaaaaababbbaab
+baaabaaaaaaabaabbbaaaaaabaaaababbaabaabbaababbbaabaaabaaabbaabbabbaabbabbabbabaabaaaabbbbbbab
+baaabaabbaabbbaababbbabaaaabbbbaababaaabbabbaabaabbbbbaabbababbabbbabbbaaaaabbaaabaabaaaaababbaababbabbabaaa
+abbbbaabaaaabaabababbababaabbababbbaababba
+abbbbbbbbbabaa
+babbabaabbbbababbabaaabbbbbabbbbbaabbabababbbabababaabbabbbbbaaabbbabbaab
+abaaaabaababbabbbaaabbbabab
+abaabaaaabbbbababbabbababababbbaabaa
+abaaabaababaaaabababaaababbbbabbbabaabaaaaabaabbabaaaaaaaaaabbaaaabbbbaaaab
+aaaaaabbababbbaababbbbabbababaabbbbbabaabbaaabbbabbabbbaaabbbbbbaabbabaabababbabbaaaabaabbaaabbaaababaaabbbba
+aaabbaababababbbbabbbbbabbbaaababababbaababbababbbaabaaaabbabaaabbabaababbabbabaaabbabbaabbabababbab
+baabaabbaababbaa
+babbabbbbaaabaaaaaaabababbbbaaaabbbbbbabba
+abbaaabaabaaaabaabaaabaabaaabaabababaaaaabaaabbbababba
+abbaaaabaaabbababbaaabbbaabbbabbaababbbbaababaaabbbababbaabbbaaabbbababbbbbaababababbbaaabbabbaaaabbbbbaabaa
+babbaabbbabbb
+babaabababaabaaaabbbaaaaaaababbabaabbbbbbaababbbbabbabbbbaabab
+abbaabaababbaaaaabbbbaaaaababaaaabbbbabbaaabababbababbaaababbbbbaaabbabaabbababbbaabbbabaabbbaaabba
+abaaababbbaab
+ababaabbabbababaababbbaaaaabbaba
+baababaaaabaaaaabbbaaaabbabbbbbabababaaababbbbaaabbbbbbaaababbaabaababbbbbabababaaabaaabaababbaabababaab
+abaaaaabaaabbbaababbbabbbbbabbabaaabbbababbbbbbbaababaabaaaabbab
+bbbbaaabbaabbabbbbaabbbabaaabbbaabb
+bbbbabbbabbabbbbbabbbbbaaababbbbbbaabbbabaabbaaabaaaabaaaabbaa
+baabbbaabbabbabbbbbabaaabbaabaaabaabbbaaabababb
+bbbaaabbababbaaaabbaaababbbabbbaabaabbaaabbabaabaabbaabba
+abaaaababaaababaaabbbaaabaabaaabaaabbaabaaabbbaaabbaabbababaabababbbaabbabaaaaaabaaabbbbabababababbaabab
+bbabaaaaabbbababaabaabbbbababababaaaaabbabba
+bbbbabaaaaababababaababbbaaaabaabbbbbbaaaabbbaaabbaabababaaaaaaabbbbabaaaabb
+aababbbaabaababbabbaabbabbbaaaaabbbbababababbbaaaabbaabaa
+bbbbbbbaabaabbaabbbbbabbbaabaabbbbbaababaabab
+aabbabbabbbbabaababbbbbbabbbaababbbbbbbbbbabbaabaabbaaa
+ababbabbaaaabbbaaaabbababaabbabaabbbbaababaababbaaaabbbababbabbbaaabaabaaaabbabbbaaaabbabbababbaaabababaaa
+ababbbabaaabbbbababbabbaabbabbabababbaabbbbaaaaa
+aabbbbaabbbabbababaabbabbaaabbabbbbbbbbabaabaabbabbabbbbababaaaabaaababbbbbaabaabb
+bbbbbaaaabaaaabb
+baaabbaaaabaaaaaaaaababaaabbaababababbabbbaaaaabaababbaaaaaaabbbbbabbabbbabaaa
+bbbabbbaaabaaaabbababbaaaaabbbabaaabbbaababaabaaaabaabbbaaababaaaababaabaabbbabbaaabbaaaabbbbbbbabbaaabb
+aaababbabbaaabbabaaabaabbbabaaabaaabaaaaaaababbbababbaabaabaabbbbaabbaaabbaabbbababbbabaabbbbbabaaabbabbaabbb
+abbbbabaaaaaabbaabaabbabbaaabaaabbaaaaababbabbbb
+aaaababaaaabbbbbabbbbbbababaaaaaabbbbbbbbbaabababbbabbababbbbabaab
+bbabaaabaabaaaaba
+ababbbaababbabaaaabbbbaabaaaababaababbbbbabbaabbbbaaa
+abaaaabbbaababbbabbabaababbbaabbabaabaaaaabbabbaabbaaabbabbaaabaaaaaabbaabaaaababababaaaabaab
+268 81
+babbbacccaaccccaccbcaacaacccbbaaaaaccaaccacbabcacabcaabbb
+caaaaabbcaabcccbbcaacbcbbcccacbacbcaabcabbcaaaaacabaac
+bacbcbbcbababacccbcbbaccbaccabcbbcaacab
+acbbbbacbbaacbcbbabcaccccaabccabcccababbcbbacbbbacaaccbcbacabcbbbcbabcaccbacabcabbbbbcaaabbcaa
+bccaabcacacabcccccbacabbaccbbbaccbacbaacbaaccbcbbbbcccaaaaaababcbccaac
+accacccaaabccbbcaccaacb
+caacbacbccaccacabbcbcbcbbbcabbacaaaacb
+ccccaaabbbcbcacaccbcacccbaabacbabcaabccacaabcababbcbcbbcabaacccbaaccbcbaabacacbabbcbbccaabcaaacacccaacacbaac
+caccbabababcaccacabaaabacbcaaabcbcabcbacbacaacccabcbbacbabababbacacbbcaabacbabccbbcbaaacbcacccacb
+abababbbcbbcabbccacaacacbacbabccbcaaacccbbcaaabbaacabbbacaabcaccabbabacbbaaaccaccbaabacbbcccbbaacaacac
+bcabbbacbacccbabcabaaaabbcbbbcaabbbaccbbabcaaccccabbcacbabbbabcbcbbbbaacaaaaccbbaccaacacbccbabacccabccab
+aacbbaccabccbcbbacbccacaacabbaaacbcaaaabacca
+bbacabacbcbcacbcaacbcabcbcacababaccaacacbbaaabccabbaccccabbcaaccbaabaaabaabbaaacabbbccaaccaccbbcacbbcbcca
+ccacabbbccbaaacabcbbacabcabacbbbccabbacbbbcbcccccccabababbaaacaabbaccbbbabccabcababb
+aabacbcbbccacccababa
+acabbcacbbabacccccaccbab
+accaccaccbbcbaacaababcbcbcacbbaabbcbbaaccacbaacbcbbababcaaabbbacccbbabaac
+baabccaabcaccbccbcaabbbabaacbacbbcbbcacbacbababbbcaccbaabaacbcbabcacaaaaabcbbcbccaccab
+caacaaccaccaacaaccabacaacccbbcacbacaaacaabbbccccbaaca
+abcbbababccbbabbcbbbcacabaa
+cbbcbbaaaabbcacabcaccabacbcbcbcabbbabcaccbaaacbcaababbbacaacccacabbcbaaababcb
+cccacbcccbccbcbcaabbccbbbbccaaabacbcbacabaacccacaccbbaaaacacbbababbcaaacccbcbbbbcaaccaaccc
+bccbcaccbbccccaabcbabacbbbaaaacccbabacaccacccacacabbcaabc
+ccacbcbabcbacccbbabacacbbacccabaacacabccbbcaacbaabbaccacbcbaabaaabcccabccbaccabbcbccabbbabbb
+baaaccbabbbbaacaaaacccbcabaccbbaaccabbbaabbbbbbaaaababbaabcaccc
+bcccacaabcbbcacbbaaaaabbacacbbcbbaccbbaabbbbabbbbbbcb
+aaabbabccbac
+cbacababbacbbbbacbabcacbacacabbccccaababbbabbcccbbbbac
+accaabbbcbccccbccca
+acacabcbaabbcbabbabbbcaabac
+aabccbbbbabccbcbaaaaaabcabbacaaccbbbabbbaabbabaabcababacccbcaa
+baaaacbbbbacbbccbbcbccaaacbacbbbccaabaaccaccacbccbcccacbbaaab
+accbbbacbcbbbbbaababcccbccbacabcaabbcabcccabcbababcbcabbaacbcb
+bbabcccccacbabcccabcccacbccbcbcbbcbaabbbccccbcaacbacbcabbabcbaacbaccccbbbabcaababccaabbc
+bcbbacbaabbbaacacbccccbbbaabababcc
+abbcbcbcccbcccbbbbabbccabccabacabbcacbccccaaac
+cccabccbcababaaacabaacbacccaaaacacca
+baacbbcbaccbcaabccacacbababbbaababcccba
+aabbcbccaacabcbbabaaaccacbbaaacbaaabacc
+baabbaabbbacabcabcabbccbccacccacccbba
+babcbacaabcbccc
+aaabcbaacb
+cccabaababcbaaacbccbbaaababbaaaaccccabacabcbbbbacbbaaaabaac
+aabbabababbabbbbcbccbccbbcaccccabbbacbacaacababcaccbaacabccaaccacbabbbbcabbcaabacacabcbbbcabbb
+bacbcaaccbbbcbcacabbaabcccabbcacbbaacaccaabbcababbccabababaabcbaaccaaacacccbcbaababbacbbabaabbcbcccccc
+abbbabbbabacacabaccacacaababccccaaabaaaaabcabbccccacaabacbcabbcbcabaacaabbcccbcbccabcbabacaaabccaccccbca
+cbccbcabaaabacaacaaabacabbabcbcaaabbcacbabbbcbacccbccababcbabccbbbcaccbbbcaacabacacaccbb
+caccbaacaabacba
+bbbcaaabbbabbaacbbccabbbacabcabaccacacabbbbbacbbaaababbbabbbaabcbaacbbcaca
+cbacbacaacaacabcbbbbbaaabaccabbcacbabbcccacbaabacccbbacccbbaabaacbcabc
+abacababbbbbcbabcbabcabbabccacacabaaabcaccaacabbaacacccbaaaaacbbabacaca
+ccaacaaabca
+cbaccacababcabcccaabccacacacbaaaaccacbabcabcaccbbbacaabcacbaaccabbbcbaaccabcbababacccbcbabbcaaabcabbc
+bbbbbcacbccbcaabbaccbcbacbcbabaabbbbbabcbccabacbbcacbccaaaaabbb
+ccbcbcbccbacca
+cabbccbaacacbabaa
+acbccaacbbaabbcacacaaacaacaacbccccacbaaccaabcbbccbcbbcccabcbabbbbaacaabccabaabbcccacccabcbacbbbcabcccbbbbaaac
+caacacbbcbbbccabbcaccbbaacbcbbacbbabcc
+aaabbcbcbaaacababccccccabacbccabbbcccaccbabbabbaaccbbacacccbcccaacacbcbaccbbbbaaabbccbaaabbaaaccbcc
+ccbaccaaacacacaca
+bcabacaccababbbccaccbbccabcabaaaaaaacbb
+ccbccaacbbccabaacaa
+accbbaacbbcbbaaacbbbcbbbabcbccabaabacbcaabcababaccbaccc
+babbcaaabaccacccbbbcccacaaccbcaacbbccacbbabcacbcccac
+acbabbbaababbabcbabcacbaaaaaacbbcccbacaacccbbbabc
+acbcacaabcaabcabccbabaccaacabcbcbbbaacbbcbccbccbaccbccbb
+bcbccaababcbabcacbbabbaaabacaaabaaccbaacbccaabaabbaabbbcbcaccabbcbcbbcaabbacbbcbacbabccabaacabacbaccbbabbaca
+bcbacabbbaaabbbbbacaaaaaccbccbbbbccbcababbabbcbccabacbcaacababbcccbcccbbccababababcacbacacabbbc
+aabcbbccabbabb
+acbbcbcbbcaabccaccccccaccaaccacbbbcbbabcccacbacbbacccbcabcaacbaaacaacaacbbbaababcccbbabcbcccbacacccabbacbca
+cacabacbbbaaaacbababcbbaabacbcabcbcccccaccacacbaaacbcbccacbcbccaababbaacbabcbc
+bbccbacbaccaabcbbccacaccaacbacccbbbcaaabacabbcbbaccbbbbcbacba
+baabaaababcbaabbbccacbbccccabcaaabbaaccbbbaacbcbbacaccbabbccabcacacabcabbcaacbbcabbcbcaacbbacbcabba
+bababbbbacbcacacba
+abcaacaccbbccbbbbccbcccabbbccacbcacbbbaaacaababcbcaba
+bbcbcaccbbbabbabcbcbaacccbbaacabbcbbbccbbbbcccccacaccbaaaaaaaababbbbbaacbabbbacbcbcbcacacacbbaaccbabcaa
+bbbabbbbcabbaac
+cccbbbaccabaaaabacaabaabbcbbabccbaabccbaabccabbb
+bcbcaacbbcccaacbbacbacbbbacaccabcbabcbaacabcbabcccbbcaaabacbbbcccaccacbbaabcbac
+baacaaccaabbcbabcc
+abbbaabbabbbbacbabbbacbbabbbacabcabbabaaaac
+cacbaacabcbbacabcbaaabcabaaaccbab
+accababacabccababbcaaaaabbbbbaaacccbccabacbacbbacbcacaabccbabaaabbbbcbbacbcbbacbaaabacacbcbcbcaccbaaacbcaccac
+cbbbbcbbcacacabaaacbaacccbcacbbcacaaacbbbbbbcabbcacacbbabbcabcccbaccbcbccbccbabcacaabbbabaccca
+cbccbbbabbccbbcbcbccac
+caabbcbbabbabcbccacacabcbbbcbbbabbcbabbababbbcacbcccacaabbb
+abbccbbcbaacaacacacaabccacccaabcbccbbaabaaacbabaaababacacbc
+cbbcaababacbabcaaacccbabcbababcbcacaacbaaaccbabbbcbabbcbacccacabcaabccc
+cbcbaacaaaababccbcbcbcaabacccacccabccbaabccaabaabbbbbbcbaaacbcaccabaccbabcbacbbcaacabccbcaabcbcb
+aaccbabacaabcacc
+aacababcccbabbbbccaabacaacbacbcaacacbbabbcabcbaaaaababccacabaccacabbababaaacabbaacccbcbabacabaacacc
+aaabaaccbbabaaaccbaabbbbacbbcbaabbabccacaccbcacabaabacac
+cabbcbcbaacaabacbbbaaaabbbababcbabbaacaabbbcbbcccbaaabccbacbcbbababbccbaabbccabacacbccbcbbcaabccabbacbac
+bbbbaaccacbcbabbccaabccccabcbbabacbcccaabacbcbacbbbaabbccabccaabccabcaaccaccb
+ccabbbbaaaabcbabcbccbcbbabbabccbbaccacbbacabaaccacabababcbcbbbabbaacabababbcaca
+caabbacbbbabbacabcbbbbacbbaabaaacbccacac
+bccabbccbccbcbcbbcbbcacbabcbababcbcccbaaa
+cbaabcccbabbcccacbccaacbbcaacbbccaacba
+abaccabacabaccbc
+ccabaaacbaaaccacacabcc
+cbbcbcacab
+cbcccacabccbcccaaaaaccba
+cbcacabbabbababaaaacaa
+bcaaabbcccaaccbbabaccbabaaabccccabbcbbab
+accccbbaababacaaacaaaacbccabcbcbcabbbaaabbcccabcbcaacbbbbaaacccabacccaaabaccabccaababacc
+cccaccaaccaaaccbbabbbbbbacacabbabccaaaaababac
+cbcccaabbcbacbcbabaabaccb
+bccbcabccbcbaabbcacaabbccccbacbbaccaccbccaaccaaba
+ccbabccbbaabbcbbbccccbbabbaaabcbcbaccaabccccbbcacabcbbbcccbbaabc
+acccababbbabcaaababccbcaaaabcab
+ccacccbbbbcaccabbb
+caacabcbcabbaccbcbbacabcaacccacccbaccbccccbacaacbbbcbabcccacbacbcacaaaabacbbaccccaaccacacbbcbcaaaab
+bcccacaabaabaabcccbaccccaababcabbcbcacbbcabcbbacccacabababaabcccabccba
+abcacbcbbcbccccaabcabbbaababcbb
+babbcaabaacbabbcccacbcbaccccaababbacaabbcbbcbccaccbaaaaaa
+bcaccbcacbaaaabbbbaabcccbbbaaacacbcaaabbbcacbcbcbbcbbbbbccabccccbbbcbbbacabccabacbcabaaccaaaaaabbcaccacabcaa
+ccbbbbababbbaabbbbaacbaaccbacacaacacaabcbaacbcaaccabacbbbaabb
+ccacbbccbccccbbcabacaa
+bacccacaabaacccccbabccbcbbbbcaccccacacbbacbccbaaabbcabbbcbccccbbcbbbbcaaaacacaacacbabacacbcbbbbbbbacaaaaacbc
+ababcbccaccaaccbbabcaaaacbaaccabcbccbbcaaacbcbaaaccbaacbbaacabaaacbababbcba
+bcaabbabcabaaaaaaacacaabacacacaaabcccbccbccbcab
+accbbaabbcaaacaaaaabbcbbaabaaacbaababccabaaccacbaabccbcbabcbcaacacaabacbacabcabbcacacaa
+bbbaccbccbacabcabacaaabbbabccbccaabbaabbbacbabcbcacacabcabcacacccbcbbabaabacbbccabacbaaaabcbaaaacccbccabccc
+ccbabaccaabaabaaababbccabbabccabbbcaccaabbcacccaabbcbacbcacbcccabccabbaccbbabbbaabbcccabaaacabcbbbcbccbacbbb
+bbccabcbbabaaacbcccaccbccacbacacbccbcacababacaaababcbbbbbaaaccbbcccbaacaaacbbbbcacbbacbbaccababaccbbccabcaca
+abccaacabcaacacacacbcaccbaaabcbbbca
+ababbabcbaaabaabccbbbcaccccabbbcbaabcabbacbcaabaabbbaaccbccbcccbccabbcabbbbbcccaccbbaaabcaacccba
+acaaacaabcabcaaccbbaacacbb
+accbbcabcaabaabcaaacbacbabccbababaaabacccbbabaabccbccaacabca
+babbaabbaccabbbccbabbbcaababcbabbccacbbcccbba
+caabaccccaaababaacacacabbccbccabbabbcbbbaacaacccbbacbccbcccaaabaaaacababb
+bcccbccaaaacaccabcbbabccbcacabcabaacccbbbac
+abcbacccbabbcabaaaccbaaccaacabcbbccbbca
+cacbbccbbcbaccbcaaccabcacbcbabacccccabcbbccababcaccbababacabccacbcacbcaacaaaabcbc
+acbaccccbccccabaabababaaaaccbaacbbbabaccbacbaccaacbbbcccaacabbababcbaabbbbcaabacaaaacaaaaacabbcccaacbac
+bacbaabcbcbabaccbaaaacabbacbaaabaabbbccabaacaaaacacccbcbcbbbbcacacb
+caacccbcabcbbbcbcbcaccaacabacbabacaaabbcacaabaaabaaaacaabbbacaabccbacaccaacacbacb
+accaabccbabcbbbbaabaccbaaabccacaaacbccaaccbcccaabaccbbbbacbacccbacccba
+bbcaabbcbabbccbbcababcbcabbccaaabcbcacccaccacaaaabbbcababcacbbaacbcbcbbcbaabaaabcbbaccaacbaacaccab
+abababcabaacaccbaaaabaaaabbbccababbacaacaaabaccbbaacccbcbbbbaccccacbcaccbcacbcaababbbbcababaacaaabbacbaaababc
+accbccacaccabaaabcbbbcaabbcaaaacabccbcababbcbbcbabacbaacaabaccaccccbb
+bcccaabbbacabaccabbbcbbacbbcbabbbbcbbcaabbbaaabbcb
+acabbcbcccbabcaaabbccaaababccb
+acacbbbabbcccbcacabaabbbbbbcbbcbaccacccbaabcbcbcacccabaccbbbbbcbcacababaacccccbbaa
+bcaccbbbcb
+bacabccabcbccbbabbbbabcacaacabbabacbcabaaaababbcaccaaa
+abccaaaabcaaabcacabbacac
+abcbccaccaabbccbbbbcbaababcbaabaccbbbacbaabcbbccacbbaccacbccbbcbbaabcaabcbccacaaacbacbcaccccbcaaaabbcaacbbb
+aaacccaaccccbbcaccbccccaabbbbbccaabbbbaaacbccbaccbbccccbbbbbbbbcbbcccbabbbaaabccabcacbaabacacbbccbcccababba
+cbabccbbcaabbcbabacacbcb
+ccaccbacaabbacabbbccaabcbbaacbacbcacbccaaaabcbbbbabccccbbabcbcbabccaababacabbabcbaaccccbbbc
+aaacbabcbaacbaabbaabbaacacabacaacabbacaabaabacaa
+caacbccbccabcbcabccabbcabcabcccbacccaa
+bbacababbabaacbacbbbbccaababccacaaccbbaaaacbabbabcabbcbcbbcbbbaabacacaccbccac
+acccccababccacbcbaccccaababbcccababbabaabacbb
+aacbbcabbaaabbcca
+cbaacbaabcc
+bbabbaacccaabbbcbaccbcacbbbbbaaacbcabbbcbcccaaabbbbbbabbcbbaacb
+ccaaabbcaacbabaabaaacbcbcacbbcbabbaabaccbbaccabbabbccccbabcbaccccbbbcaabbbacbcaaa
+ccbcbcaacaaab
+babaaccbbcbccabaacca
+caccaaaaababaabbbaacabccccccbababaaaaaacbcaaaba
+cacaaabaabacaccacaccaaaaabaaacbccbbbccbcccbbbabcaaaabcbaabbccacca
+abaccccaaabccacacaabbabaacabbabcbbcbccabbabbbbbcccabacbcbabaaccabaacbccc
+cbcacccbaccccaaabaabbaccacbbbaaccbbacbcabaaacbbcbbbcbbbcaacabcacabbcaac
+cbaaccabacaccbcccababaccbbaabacbaaacabbbcacbababcbaabbcbcababc
+bccbbbbcaabcabcbcaabcaaccbc
+bbbcabcbaaa
+bacbaaabaabcacbaacbaccbccabaaabcaababcccbaabcccacbbbbcaaacbaaaccaccaaaccccbcaccabcbacbacccb
+ccccbaaaacbbbbccbbbbbcbabababbaccbbbbbbaabca
+cabccccbbaaabaacaab
+abbacabbbcbacbaacaacbbaabaccacabbaabbcbcbcbcbabaaa
+baaabbaacacbcbaaacbbcccaacbb
+abbbbbcccbcaababaccbacaabaacccbbbbbabcbbacabaac
+cababababcabaccaabacbbabbc
+bbcabbccaacabcbacbbbbacbaacbbbcacbcabbcaaaccccaaaaba
+aaacabcccbaaabbbabcaccc
+aabbbaaabbcbacabcaaacccbbcaaaaacbcabcbbacbaaccbcbcbcabccbacabccbaccbbcaaccbcbacbccbaabbbaabaabc
+bacaacaaccabcbabcbcabbacabbabbbaccbcbabaaabaacbaccabbcacaaaaaacabbbbcbacacbcbacbcb
+bcbcacabccbcbbcabbaa
+bacbbbcacbabcbabacabbcacbbaabacacacccccbabbbccacbacaacbbbcbccaccbccababccccaabbabbccabbbbaacab
+bbbbabaaccbbbabbabbbcbcbcccabaacabbbbcbbacacbcccacaccbbcaccaaac
+acbbbcbcababbccccbbbaccbaaabcccbccbcabcacabaaaabbbbaabcccbaacabaabaaacccb
+abbbbcbbbbaccabacbababcbbacccacbaccaccbbccaaccacccacccccbaaccbaacababbc
+aaaaacbaccccaaccaccccaaaababacabccabaabaccbaccabcbabbababcccccacaaaacbaccbbbabcbbccb
+ccacababaccbcabcacbcbcbbbbcbccbcbabacbacbaabbaaabaabbbcaacbaabacccbccbbcacbacacca
+cacbbaabcccbcccbabbbaacaaacccaaaa
+bbcccbbaacaacacacaababaccbcaabbaaaaacacabcaabcaacbcaaaaaacacbcaccaca
+abbbacacacaaccbababcaacbbcbacbbcacabbabcabacbbccacaaaccabbbbacaaaabbbac
+aaaccacaaab
+aaccacccbababbccbababaacaaccbacbccbccbcababaababcccabccbcbcabcabacbcaac
+bcbcccbbaacaccbaabcaacbcaccaabaaacaaababaabbbacccbbababbaaabbabccbbaacccc
+cbbcbbaccabbbabbbcaaabbbcbccccbcccccaabcccbcbbbbcbb
+bbbbaabbccaccbbabbabaccacbbcbbababcccaaaabcabcabbca
+accbcaababcabcbbbabbcaabacbabccccaabcabbacccabbccbbcbbccbbccbcbcbcbaaccc
+abccabaaabbbccaaaabbccabbaaaccccacbcabbbaabacbbbbaccaaaccbccbcbacabccbaccacbabaabacbabbccbababccbbbbaacc
+baabcbbcbaaabacabcbbcbcbacabbcbbccccbacbacabcaccbccbcbcaacccbacbcabaaaaaccbbaca
+ccbbccbcaccacbaaacabbbbbba
+acbbaacbbcbbcaacbbacbabcccbbbacabbcbccaccacacabcaccccbabcaacbcaaaaa
+aabaacaacaaabaacababcabbbbcaacaaabbbaaacaaabbccabaacababaaccabbaabbbbb
+caabababbcaaccacbbbbacbabaaacccaabbabaabbbcbacbbaabbabacccbbbaab
+bcacacbabbabaacaacabbbccccccaabaacaacacaaaacaaabbbbcbccacbccabccbcbbacacbbbaaaabccbaaccbcbcccabbb
+bbccaccababacacabbacbcbcccbbcbcbacaabcacccccccbaccbcbacbcbacccaabcbcacabcacbccbbc
+bcbacaacccbabcabccacbcaccabbcbcbcbaccbbcbbbbbaababccbcbccbbababcbabcaaaababcbbccc
+cacabcaacababcbaaacbcabbccbccabcaabccbbaacacacacabbcccbbcccbcaaabbabcacaabcaabacbbabbb
+baaaaacccbbbaccacaaccbccacabcabaabcbaccaabcabacaabcc
+babbaccabaabcaaababababcbbcaaabcbacaaaacbcbaccaaaccbbabbbccbac
+babbbbcacaaabcbaaaccababbaccacabcbb
+bbbccaaacbbbacbcbaacccaabbbbababbbacbbccaababbbbbacaccabbabbaabacaababc
+acaabbbcaacacbcaaabcbabcbbacacbacacaabcacbababacabbabbcaaccbbbaab
+bccccabcbbaacabcbbacbcbcbacaacbacabcbbcacaabbbbbbabacbaccacaaabacaacabcbbabccbcaacbcabcbcbabbcabcaa
+bcacacabaabbaabaabacb
+bccbbbaccbbbbbcbbaaccbcbccccbabacaccccccaacacbaccaacbababbacc
+aacbbbccabcbcbccbabaabaabbbaacccccbabbb
+bbabababbcaaaacccbbcaabccbbbcaaaabccbcbcbbccccbcbcbcaaaabbab
+ccbaacacbcbabbaacbaaaabbabbcbcccaccbccbacabbcccbabaccbbbabbaababbbabbcaccaaaacaaccccb
+caccacabaaabaabbbccbcaacacbcabaacbcaccaababacabcabbcbaaabcbccaaabaacbcbcc
+bbcabbabbcccaaaaabcaaaccabbcaabaccaabbbbcabbbbcc
+cccaabbabbcbaabbacbaacbbcaacaccababcaaacacabbbcccbabaacaacbaaabcc
+bbaacaaaabbacabaabcacacabccaaaaabbacbccbccaccabcacbccbaaaccaababccbabbaacacbabcababacabbbccbac
+ccbabcbaccabbcbcaababcaacababbbbacbbbccbacbaacbbbbbcaaabc
+acaaacbaccbcccbacccbccbcbbcccccbbaccbcbbaabcbbaacacacbacbbbbabbccccaaabaacbbcabbbababaccacccacacbcccbcbcaaac
+baabaaabcbabbbcccabbcaabbbc
+aaaacaaaccaacbaacbacaacccca
+abaaacccbcbcacbbbcacabaabbbbbcccabbccbcbbcbacbcbcbbcbac
+aaaabbacabcbacaaaacbbbbbb
+acbaacccababcccccabbacbcbaacbccbabccacbabaab
+abccccccbccaaacccabccbcbcabbcacbcbccbbccbbaabbcabccccbcbbc
+acbbcccaabcacabacaccb
+abbcbaacabaaabacccbbcbbacaaacbcaccacaaaaacabbccabaacab
+abbacabacbaaaccaaccaaacbbcacccbbacaacaaccccaaca
+acbaaacccbcacacacbbcbc
+babbacbbabcababcaacabccbaccbabbbbbaabbbabcbabbcacbbcacbbccaaaaacbabcbbbbbbbcbccbaacabbccbabbcaacbcaccc
+ccbaacabaacabaabbbcccccbaaacbbabaacacbbbcbbacabccbbccbacbaaabacbcbcccacbaacbcccbbcbabccccb
+bcccaccaccbabcbccbcacbbcbaabacccaaabaabaaaaccbabbabacbbbbabccbbaccbaacccbabbbcbbbcbbbabacaabbcbacbcca
+cbcacbbaccbbbb
+bcbaaacabcaabaccbbbcaaabaaababbbcbcaabccaaacacbaaabbacbacabbbababbcabbbbacaabbaaabcbcbbabacccaabbbcacbacbb
+bbcbbbccccacbbccacaaabaabbbbccaaccabcbabbbabbcbbabcacaccbabbacbcaabaabc
+bcaaccbabbbacacbabaccabacabacccaacccab
+abcbaaabacaaaaacabcbabcaccacbcbcbccacccaabbcbaabaaacaabcabacaabcb
+baccabbcabcabcabababbaabcccaaccbcbcccaaccbacbbaaccacbbbabbaabacbabcbcbcabcabababcbccabbbaccbcccbbca
+aaabaccbbabacbcbbacbcaaaacca
+aaababccabcbacacbbbbcaaaa
+bcbacbccbababbcbaabcaccbabcacbacbcbbbbcaacbbbbbaaaaaccba
+aaacbcaaaaabaaabaab
+baaacccbbcacaaaaabaccabcbaacabccabbbbbcabcabbbbbcbbccbbbbbacbcb
+bccbcaccabcbbbbacbbbccccaabbcbbcacbbaacacbbbcacaaababcccccccbacbcbbbcbbbbcbcbcbbbabcaaacabccbbbcbca
+bbbaabbabbbcabcccaaabccbbcbcbbaacacbabcaaccbaabbcbabaabacab
+cbbababbcaccaccbbccbbcbcaccccacabbbababbaaccbbcabcabbccaccaacbbbbbcccbacbaacbcacbccccbaabbaccbcbccbbbbcaacb
+abccacbcacbbacbbccbaccccabbbbcccabbbbcaabcabbabacbabbbabbcbccccacccccaaacacbaabaccabaabbcabbaaccac
+bcbbabbabccbbcccbabcabbcccbabccccbbbcccbcbbcbabaaababbccaaabbcbacbbaaabac
+accbaaabccbaaabababaacabaaaaa
+abbaaaaaaccabcbacbaa
+acbcaccbaabcbcbbacccaaaccccaaaaaacccabaaabccccbbac
+cbccbbbacabcabacabccababcbbcbbccacbcacaabb
+baaaaabccabccabcbaccb
+cbbbbaaabaacbbabbbccabaaccbcabccaaccacbcbcccaacaabbcababbaba
+cbaccccaaabbacbabbacaa
+abaaacbccbcbbabbcbbabbbbbbcaccaacbbaccabcbcaaabaccacabcbbcacaaacbcccacccacbccccbbcbcbacabcaacc
+cabcabbbbabcbbccabbcaacaaacbbaaababacccbbaaccbacacbccbaccca
+baabacaacabacccaaaabcaabcabccbcbbaccbbcb
+bccccabbbcaccccabacbbabbacbacbacabbcabbbcaccbcbabccbacbccbbcbbacaabaaacbabccabbbbaaacabacacbab
+baacbcababaaacbcaabaaaabbcbbcbcbbabaaacbcaccabbcaabcacacaaacbcbabc
+bcaccabbbcbcacbcbcacbcbcaaaabbbacaacccbcacbbacbcaaababaabaaabaaabcbabacbacacaabbbbccbabbcaacbacbccc
+cbacbcabbaabbacbcabbcaccccbbaaabbaaaacacbcbbcababaacbbcbaccccbacbababbbbaacabcaaaaabcaacccacabccbcbccccaaaca
+baacaccabbbbcccbaaabccacbaaccacbcbaacbacbacbcbaaccbccbba
+aabaacbbcbaccccbabaacccbacccbabababcaacabaccbabbbacbbbbababcabccabaacacbbacaabcbbbccb
+cbccccccbaaaaaabbcbbcaaaabbabaacbcbcbcbbbbcbbcabcbbaccccbabcabbcbbccabccaacaaaaccaaacacb
+130 70
+cbcbcdabcbcadbccdbcaadacbdacadccbcdaadacddadacaaddadadddbacbdacccbccabcdabdddbcadcdbcabd
+dddbcbcadbdabcadcaaddacabbbbaadcdababa
+bbdbddaaacdccbaadcbdaadcbabcdbabdaadddbcdbdadcbadbcccadacdabcbaabdaacdaabbabcadcbadcda
+dbcbdacdadbcbbbdabbaaabcacdcadbacdadddccadacdcbdbcbbbdbdbbcdabcdcbddbdbddcbbdccaddbc
+baaabaddadbabcbdaddcbaabacbccaddacbbddaadbaddcacbcdbdadcaddabcabbdacaaabbcbccddbddaabddaaadbcccdba
+badbabacddacdcabddbbcaacdbdbcaaddaccccdddaddcdbbdbbcadbd
+acbaabbdacbdcccbcdcbbcadcddadbddbddbabcdbdcccdabdcddabddbcdcbcb
+baacccbddccccdddddbdadbbaddbdbcadbcab
+baaadcaacdabcddcdaccccb
+cadcabddccbdcdaccdaacbcdcaabadadccadacbaabadcbaddbcaa
+abdcaaabacbcdcccccbdcdbacb
+dcbbccaacdaaddabbdaccabcaacdddabccbddccaddadcdabdc
+baadccccdcdccdacbbdaaacaaad
+cccbdccbccbabbcbbbccdcc
+acbbdcbdadbdcaddcdcaabdbdbcccddcdcbdccccdbccbabccdccaadcdbdaacddcaddc
+acddabbadabadddbaabbbacabaaddccbddbbbcdddddabbccad
+cbdccbdaacdaabac
+ddddabccbbbdb
+cbadcddbcdacca
+badabdcbbddbcacbdaddbdcdabdbdccabacdaabbbdccccdacdcbcbaccaacaaaacbacadaaabcdabaccbcdbcdbbadadbdadbaddcbcabddb
+addbddaccadadbabbdcdaccaaaabbdcddacdbbddcbacdddbadaabcddcdbbaddacdca
+acacdbdccacbbbbaaadbbabacdddbdbddbbbcaacbbdadbacdbcdaacaaddcbcdaca
+dccadacdbddcccadcbbcbaabcbabdcbabcdbcccaacdbddbacbaacbccbaddacbaabbccbabccaccbac
+bcabbdbdcdcabcc
+aadddbcaaaadbadcbcbadcdbbabccbabbaaacdcbcaaacbddaacdcddabdcdacdcaabccaddbad
+ccbcaddbcababbddcbbdccdaaacbcddababdccbbdacadaaaddccabccdcacadbcdbcccbababdabc
+ccbdacdbbadbdaaadaacc
+bccbddcabcdbdaccdcaddabcabddabacaadcacabbdcabdccbccabacbbddbadacddbcaccabbdacbbcdbadaccacccbddadcbbcbadcc
+adaaadacaaddcddaacdbddbcadcbaacccbdcbccbcdcbcccdd
+cdadabdcccdadcccababbcaadccaaabcccdabdacccdbbadbacaacbddaadcadddcaddbdadbbcdbdcbabcabcadcacbcdbd
+cdcdababaddabccaaccccabdadccabdbddddbcabdddddbaaaaaaacaddcbdbdbbcabddbbbbabdbcbcabacdcdbdccdcddcdadacabbbcaa
+bbcaccaababdbad
+dbadcadcddccadadadaadacabdbacadbadabdbcbccbaddddacddbacbdcaaadbbdabdcaddabcbaabaadaabaddbcaccb
+dadadbdaacbcbccbadabaabcadbdbcdbccabddcbcadbd
+bcaddabddbcdccdbbdbbabddbddcbabcdbbba
+dbacacdcabdabcabbadbcbdacddccddcadaccabbcdcabdcdacbbadaad
+dcbabdaadbcadcdcccaddababbbdbcbcbdcadcdddbcabaddbabacacacbcccadcbacaaddddbdbacabbdbccc
+ddbbcaadcaacbdabbabdcbbccabcbdaabddbdbabdcaacbbcdcaaaadaddcddabccaadaccdcddddbdadbd
+abbbbabaabbaadadcdbcbacbcabbcacaaadcddbacababdaadbcbadcabbabcccdcbacbbdbbbdacbbbcddbbdddadccaccb
+abbddcaccbadcdbdddddcbbbdacacdbaabadbcacbdbbdbbadadacddddacdbcbc
+dacccbbddcdddbcbdccbb
+bcbdcccddaa
+baaadabadcdaabdadcabccccdbcabdbbcbcbabadbddddcbcdccbaadacdcabadbbbcbbddadcccacbcc
+addbcbabbdbcaacdbddacdabc
+bdcccacdabdcddccbcbbabccbbddacddbbddbbbaabccdcbbdbaabbacdddbabcbccabadaaaaacaddba
+daaddcaacbaacaaabdadbadbadcddbcccddaadadcaabdcbdbabcacdabadabcadbdabccccaddbbdadaddccacbaadcbdbabadaabc
+adabaabdaaddaaabccaabaaddbdcccdaadadbaba
+cdbdbdadcbadacacdbcdbddddcbadbbcbbccddaccabcdbcddcdbbddcaa
+dabcdbccabadbbabaccbcbcccbddbdcccbdccdcddaddacddbccadcccdaabbcdaddddbaddbabadccbbccdbb
+dddbdbdcdacadccacba
+abbabacbddabbdaadcbbacdbdbdbcaacbbcbdaddbbcbcddbdaaddcdbacdaabbddacdbbaabdcadaaacbddddcbaddabcdbbaaddbdda
+cbccacddbdacdbadacddcdccdccdadcaccbbcaaadaabdacbddadcccbdccbaaacdacddcbaddccdbcbcdaccb
+bbcabaabdabdc
+addaaabcdcacabbdaccddacbdcadcabacdcabcdaabcbcacadbbbaacccdbaddadbbbddbacdbbdbbbbccbaaacadaac
+bdadabaababbbdacccdccccddbbbbdbacbccdbbdddddadbacdaccaaaddcaddcabccbdadcbadaacd
+adcaabcaadcaacdbdcbbdcbababadadccaca
+dcbbbadbacbdddbdabcbcaddcdaadabddcdabdadcbdbdabaacacbccbada
+dcbabdbabddbcaabcaccddaccbdcdbaabcdadbccdbb
+adbcabadaabbcdcadcccbaddccdbddabcbdadbdadbddcbaaccbbaddadcdbccacacdccdbacdbadcbcbaadbcaa
+adcabdccababbcccabccdaaabdaacaaadddbbdddbdbadaaccddcbcabaadcccabc
+bdacdbaacabcdcccdc
+ddbcdadccdcbbccacaadbbcbccdcdcccacdaaddabbcbadcbbddddd
+bdcccbcabdccabacbddaddabacccccbdabadbbdcacbcacbcbcaabcaccdacbabadacadaadbdaaabdcdbbbbbdcbcbdaddabddcadca
+ccbcdbbaabbcbabbacadbbcdbdaaddbbbcadabaaaaaadacbdcaaccddbdacbadaababbdbcbdbdcabbcbacdcbadbbabbc
+bbaaacdbddadbadaddbba
+daccbdbdbcdcaadcaaadcccbdcbdccdddabbabbdbbbccaaaddcccccbdddbbbdadabaaddcdbbcbdcbbbbdcbdbddaddb
+bcbbcadabcbcaddaaacbcdbaadbccdbb
+caaaaacbcabccdadbbaaadbdcddabaaaddcdadcbabccabcbcdddaaacbaaaaddcbadabddcaabccbdcadba
+aadcbcccdbdcbaaacacddcacdaacacaacadbcaadbcaacbdbabbadcabdaaaacadacacbbcaccaddbcbdacabbbdcbaaadaddcbcadb
+bbcccacdadbbdacbdcbabddaccddbddbdcdbaddbdbdbcbdcdbacccaaccdabddcbbbdbdbd
+dbcbbacacbacdbbcbddbbcabdcdcaccdaaccacdabcddddaaccaba
+cddbccacddbacdaccaacaba
+bdcdcbdcbdbdcacbaabc
+cbbddcadcb
+abbbcbadabadcbcdcbcbbbbdbdbcdcdbadaccdbcccdaaaccacdccbbacdcdbbcbcdaccacbdcadacdccbdca
+dcaacaaaacbccadaaacbbabcaabccbddababacdaacacbccbccdd
+adaddccbabddbabcbcdcddddabadacdbcccaccbadbdbadcba
+adcaadacccabaacadcb
+cccaddacdbdaddacbdc
+cacccadbdaabccdddbcabcbdcdaaaaddcbcdadbbbdbbdbddbbcbdaacacddccbaadcbddcbcaaabaacdaadaaacadbbcbcbbabadbdba
+dbdcaddbdcbcccdbdbacabcddbc
+aacdbbbcaccababbaccbddccbdacbdabcdcdbdadbcbdddaacabdbddcadcbddaabbaadacaaadddadbadbddacdddaddbda
+cdbdccbdcaccccaaa
+bdccdacdabbaaaacddcbacaabbaccaabaadaaadbaadccadbbacbacdbaacdddcbcbcdbcbdacdbabcdbbdbbcdaacdcccadbad
+adccaabdbaadcbadbdcbddaabbdabcbdabbabcdaaabb
+caabacadabdaccadbdcacbaabbbbacdcad
+aabbcdcdbacccabadcabacabbaacabcdbdabbcbccbccddbacbadabdbdbbaaacccbbbddccdacbbacdaaca
+bbcabbcddadcaabccdadcbdcbcbcbaaaabbdcbbdbaaada
+cbbccccbbacdcbdcbcaababababdbdcadbccdabadaacbbdacabcccbccdbdaaadcbbb
+bddddadbabacccdcbcbaacddbbdcdbca
+bccddcdbbcacaaabaadccdbcdbbbbbadbabcbacdbbc
+ddddbabbddbbccadbccddaabaacacdaccaccdabcaacbddbdcaabaccdcbccdd
+caacbabbacdcccadbccccadabadccbcbccacbcdcacaaabadbaccbcdbbcddaccaa
+dbcabccbccbbabadddccddddccacacdcacbccacdcdcacaacadcbacbcacbbcabbccdadbabbabaaabcabdcaaaddccccca
+dbacbcbdcaabadbbbbdcccabbbcddbcabadbacdbaddbacbacaddcb
+dcadbcccdaddbbcdcdaaadbcbdbbddbabcdbbdddacccaabbcbcbadddbbbccdbdbad
+acadacaabaabbbdaddabcbaacaddcdaadbccacddabddcaccacdcaabcababbbd
+accccdbddbddcdbaabaddcaddacdaddaddcaadbbacbdaca
+cdcbaddcaadaddbbddbacdbaadabccbbbdbcaadaaaaacbadababaccbdbbbbdddddbcdaabddbacacbaacbccbbadbcdbd
+dcbaaccdaddcacabaaacaddcdabbdacabaddddbcacbabbadd
+cbbdbdccddcbcaaabaaabddbbbd
+ccdcdbdacdbdcdaddaaccabdbbdcbdcbabbcccaadcaacdaddddbbdacadacdacacdbdaaaddbddbbbbdbacdccbcdbdbcbcad
+bdaabcaaaccacbbddddcacdbadbcbbcbdaaabadbadccbddcaadcbdbbacaaadccbbbb
+dadaacbbdadcddbaabacaabcbbbcbacadbdababbbbcabbcddcbdbadb
+aacbdbaaabccaaaabacaabdcddaccdabbadcbdacbbdcbcadbbbdcdbcdcddbbcddcbbabaddaabadaaddbdddcdcaddbbdddaabcdaabaa
+cdacabadaabcadbbdcaacadacddbdbdcacacacbdbbdcacaacbbabbdabdcabdcbaccaaaaabcdddddcbabddbaaabdbbbbaabbadc
+cdcdcaabdbbcaabccbbdbdb
+cdadaccbaddca
+dbcbccddbaabbcaaadbbbdccddddcddaccadcdaddddcbbbbacdab
+ddbcccdacbddbbbabbcabbdccdaccbadbadbba
+dcccbdddadcdbbdccdbdbdaaddaadbddbcaaacbcbdbbbdddcddbcddabdacbbdcabcaaaabbabdbccabacdcacdbab
+cbbacdbbabdddbcadbdbbdcdbacccbacccdcbbdbbcadccbdcbdbabbddcc
+abbdccdccdbbccbaaacadacaddcbccbdcdbadbbbdcbadbbacccdabadcaadbcabbccdcab
+aabbdbbdadbccbbbadbdcbbdbcbcbdbdbcdbdccddadddcbcbaddacaad
+ddbbdcccbdcdcbaaadaacdddaaaabacadc
+bbddcdbcdacccaababcdacddbbdbdaaacdcddcccabaccadabbcabdcaa
+aaacdabbbbcdacaabaddadaccbadccdbacadcbbbaddcddccccdadbbbbaadcbaacadcddddaadabcbb
+ddadbabcbabcbcacdabcbcacdbcdbcbcbcbdcabcbcbddcddacbbcabdcbbccbbddada
+dbbcccbbabcdcbdccaabdddcbccbbbdbcbbcccacbdcaab
+daabdabadadabadcdabbbbbdddcccdacccbacdaadadacbbc
+ddbacbbcabbbabbdddbcadc
+abadbbcdcbcaabcabccdcb
+ddbabacabbcbaddbabdddbacbdacbcacbbcdcdcdcdabdaacccadbbcbcb
+abacdcadbcababaadbadbcdddcdbccdcdbabdabbababacbdaaccbccdbdaabcaacbbacdddacadddcdaacccbbcbdbddcdabbadac
+abacdaacbabacacbcdc
+dbddbaaacdbacddcaacbdacdadddddbbcdccbcbbbdbacbcbadcddccabacd
+acbaacdcadbc
+dbbcdbdbabaddbcdbcab
+ddbbcccdabbddbaacacabcddbccbabddccdcbdaccdbcdbdbbbabbdcccbaacddccdadcaba
+cccdbabbcdcbaddccadccabaaadaccabdbbbbcbabdb
+142 9
+bbcbcccacabbcacacabcaacbcabcaaacaaacabbabbcaabcccbbbbcaacabcacbccaabaaaabbccacaabbbcccbccbccb
+cbaaacbaababaacbcbcabcabccbaccccaccacaabbbacbab
+ccbbaccaaacbaa
+abccbacccabbcbbbacbacabccaccbcbbbabbbabc
+bbaaccbccccbacbaabbccbabccbabbacacccbbccccccccaabccaabbcacabacbcaaacacccabbbbaa
+abbbbbcbaaababbacbccbbcacabcaacaaaaaaababccababbbcacbabcbcabcacabab
+cacbbbcbbbbcbcbcaabacb
+cabacaabccabcacbbabcbcabcbbbbaababbbccabaaaccccccacabaacc
+caccacabaccacbccaaaaccbaaccaccbacbcbbcccabcbbbabaaaaaaccaabbaaccbbacaabaaababcbaccacc
+acacbcbcbacbbabccacbbcacccbcccabacacaacccccbbcacacacbcaccbccacccbcbbacabcccbaaa
+ccbcaacccccbabacccacaacaacbccbbaccabcccccbbbaccccabbbbbaacccbac
+caaccbbbabbbbccbaaccaababcbbbacaccbccacacaaacabbcabbbac
+bbaabccbcaacaabccacaacbccccaaaccc
+bcaccaccbbbacaccccbabccbaccabbcccbacacaaccccb
+cbaccaccaacacacbaccbcbbbaabacccacacbbcccbacabaaccaaaabccbcbbbbccbc
+bbaaaabcbcacbbabbacbbaabacabacccbaccbabaccabaaabbccabcaacbbccacaabcabcaccccbbaaaccaaabaccaccb
+baccacbaccbbcaccbcbcacaaabccbbaacccabbacaacbccaacbacaabbaacbacbbaaccbbaaacacaccbcbccacccacacabbabc
+bbaaaacaccbccbcbaaaaccccaaaaaacbbbccc
+ababbcacbbaccbaccbcbbababacabbcaacccbbcbacaaccacbbbabbcbccabbcbacb
+bacaacbaabccaccabaaaaccbbacccccbaaacbcaababcaabaccbbaaacbabbcccaacbbbcabcbbaaaaacabacaacaacacbcbcbcbaccca
+aaccbbcaabcabbbacbbbcbcccbbbacbabba
+acccabccbaccbccabbaccaacaacabcaaccbacbbabbabcaccabcbb
+cbaabcacbaabbbcbbcccabcccaacbcbbbcbccbbbcabcccccaaabcaabbcbccbc
+acbabcbacabaacbaacaacacbbbcccbacabbbacabcccbbccbcccaaccab
+ccbaaababbaacabcaacccccbacbacbbbccbbcaacbaccaaab
+ababbbbbbbaabbaabacbbcbabcbbacbbbcbaccabcaacbbcabcacacbccabbabbacaabbaaaccaaaabcaccabbcabcaabcbaaa
+acacaccaaabbacaaaccbbabccacbbbaaccbaabbbbcccabcbbbbccccacabaacacbcbccccabbacabcccbcbaaaca
+bbbcabacacbaabbabaabaacbbccbcacacacaaabbcbbbbaaababcaaacaaaaac
+accccaaccacabcaabbcbabcbcababcbcabcccbbcbbcacacbaabccbabbb
+acbabcbaacbbaacaabcabbbaabbaaccccababcacabaacacbbbcbcbabcccbab
+acbcbaaacaaabbabaabacbaaacaababcacacbaaacaccccbcaacccbabaacbbcacbaaaccaaccaccabaabcaacaabcabaababab
+ababbabccababcacbaacababbbaaaacbbcacbccbcbbbbacbabcccaccbaacacbccbaabcbcccabbcaccacbbbbaccbabacaaaabaab
+caabbabcbbbcbccbcbccaabcccaaabacabbacccbababaabaabaa
+abbaabcaaabcbccbaabcccbcaabbbacccbccccabbcbccccaa
+cacacbabcabbabaabcbcbbaacbbaacbacaacccbc
+babaaaabbbacaaaabaababaaaaabbbcbbacaacccabaaacbbcc
+cbacbaabcbbbcabbcacbcabbcabbacaacaaaaaaaaaabbbacbaacbbaabbbabaacbbbbaacbacacabcccaaabcbb
+cabaaabcbbcacccabcaccbccabbbcccbcacbbbbbabaacacbacababcaaccacabaaac
+caababcacabacabacbcabaacaaabcbbcaccabacc
+bccbababccbcaaabbabcabcbcccbbacabbbacaacbccacbbbcacbabbccacccacbc
+babbbbabbcbaaaccbbbcbbacb
+acccbcccbcccaabcabbcababaaabacbbcabcaababbcbabbccbbabaabbcac
+cacaabcbcbbccaabaaabccaabcbbcccbcbbbcccbaacacbacaacbccbbcbcbcaccab
+aaaabaccababbcbcccbacccaaaacacaccbcaccbcccabbaaccaccaccbacacbbbaaacbcacacbaabcaccccbbbbabbaabacbbacbaba
+ccacabcabbcbccbbcccb
+bbbcbaacbcbcabcbaaccccbcbabccbcbcaaccacbcccccbabcbccbccababbbacabbaccbcbbbcaacb
+ccabbcbbcacaccbbacbaabcbcababcaa
+baabbbcacbabcccbbcbbbbbaacaacabcbcbcbaabbbabcabbbababbcaababbaaacacbaababbcacbbcaaccaccabbcccbacbc
+bbabbbccaccbcbbcabbcbcaacbbcaaabcbabccbcccbcbabbaaccaaabcabaccaccabbabaabbacacbabacbaaa
+cccccbcabaababaabcbacccbaaccaccabbcbabaaababcbbabcabcbaaaaacbcbbaaaabbbcbccbcababaaacbbbcbacbccbacbabcabca
+aacaaabbaaababcabbaabcaabaabcbcbcbabcaacbcacaaacbccacabcababaacaabbccbbaaaacababaac
+abcacaaabaaabbbaccbaabbabcbcbcbabcbbbbbacabcaacabbccbbbaccbaababccabbbcbbbacaaacaaabbcabbbabaabcaa
+bcbcbbbabcbabcbacccbacbcaaabaccabcabacbabbcbaacababcacaccbcaabcacbccccbcbbbcbaaaccbbbabcbccaababb
+ccababaaac
+cbbaabacbcabbccaacababccbaacbacbcbcaa
+abbaccbccacccccccacaacbccaaacabbcbabccaabcaaaaabcbabcbacbbbcbbbcbbbbba
+bcaabcccbaaabcbcbabacabbabcabaaacbcbccbbbbcab
+caccbbaababbacbbccbcbbbbbbacaaabcbbbabbcaaabaaaaacacbacbcbabacabcbbcaaccbbbbccabaaaaacbc
+abbbbabcbaabcabaabaa
+bbbcbaaacccabaabaabbbcaabbccccacbbabbababbbcaacabcacaccaaaacacbbbbabaaccacbccbbbabaabcbbbcbaabbaacbcccaac
+cabaaccaba
+bcacabbbabbccbcabcccbaccbcacaaacbbacaaaacaca
+abcabbbaacbcbab
+abcccacaccacbabaabcabcbacaccbbabaccabbcbabbaccaabacabaccbbaabcbbbccbbacaabaacbcabaaaaabbbbcccbcaa
+aababcccbcbcabbcacbab
+bcbabaacaaaacacbcbcabcbaaaacaaccbacbbbabaacaaabcaaabab
+caaaaaabbbcbbbcacaaccacababbaccaccccccabbbbabacabbbabcabbbccabcacbaacbabacabacabccabacbaacabbbaaba
+acaacbcaaba
+acbbbcabaccbacacbcbabaaabbbcacabcbcaca
+bbabaccbacccbbacaaabacbcaabcaab
+acaccbbbacacaaaabcaabbcbbcbabbcbbbcbbaaaaaaaaaacabccababaaaacbacbbcbcaaccbabccbcacbcabbccbac
+cabbcaccacbcbaaaaacacbbcccacabcabbcbaaabccacacabaaccccaabcacaabacabbbbcbbbacaccccbcbcabcccaccabccbcaaca
+babacaabbcacbbbbaabcacacacaccbabbccbaccbccbbcbccbbbbcbabbbccbcaaba
+ccabcbaabacabbacacaabcaacbaaacacbbaaaaccccbabbacabccb
+bcbaaabacabaccbbcaabbaabaccaaabacacacbccaabcbccbbcca
+ccacabbacabacacbabaaba
+abbcaabacaabbbbcabbcc
+aabaccacaacbbcaabbabcacbabbcaaabcbaacaabaccacbabcabacaacaccabcbaaacbc
+caccaaabbcbabaabacbbccaabcabcccbabbbbbcabbcccccabaabb
+ccabbaabccbaaaacccbabcccaacaaacccababbbbacaacbbbcacbacbacabc
+bbcabaaaccbbaccaababacbcaabababaccababbbcbbccacaacbbababbcbbccbaaccabacccccaccaccbbacacbabcccab
+ccbbacbababcbabbbabcbcccbcbbabbbccbcccccaababccccaaacccbb
+aaaabcbbcbabbcaccbbacbccaaabaccbbccabcbabcbccbabacbbabcbaaaaacbccabaabccc
+acaccaaaabccbcbcbcacabbaccaaacabcbababacbaabababbaabbbbbabbccabcacbcbcbbcbacbcccac
+caaabcacababababc
+bacccbabcbbbcaabcabcbacbbbaaacccabacbaaacbbaccbbabcccbbabcabaaaababbcbacbcbababcbcccbb
+caaccbcaaabaaaccbbcacbbcacabcbcaaabbaaaacaab
+bbcbccbbacacbccbabbaabbababcbcbcaabacbbccbbaaaacbacaccbcccbbaacbaabbcccbacacbbcbabaca
+bbabbabcacabbcbabbcbccaccaacabbacbccccacbcabcbbaaacabaacaccacacaaabcbaababcbabacc
+cbbacaaaabcabcccacbbcbbbbccaabcbcaabccbcaacababbcbaaacbacbbabb
+abccaababcbabaababcaacbaababbbccccaabccbbaacbaabbbaabcacbaccaccacabbbbbcaaacccbbccabcbbbbcccababbabbbbaaaa
+cccaabcaaabacbabbccabcccacbbccccbcaacbcccabacaccbaabbbcbcabbacbacbbc
+cccbcccabcababacbaaacabaaacbaaccbcabacccbbcabaccbbcbbacbbbaaabbacc
+abbababccbacaaccaccaaaaabcbaca
+babbabccaacaabbcaacbbaaccabcabcbcaacaaabacabbacbbbbaaaaabbcbcbcabcbaabaccabcccacababb
+abccbccbabbcbacabacbcbbcababa
+abacbccbaacabaabbacaaaaaabb
+baaababbabcbababcacbabbbcaacbbaaabbbcaabcbabbccccacccbcbbbcaccabcbcacccabbbbbabcbbacbabcabbbbccabacacbcbcb
+cabaacaabcbccaaccccbbcbacabcbccabbbbcacaacabacabbbbb
+acaabccbbacacabacbcbabcaaccacbaabacbaabbabaacbcabacbcccabaaacbbbbcacbcbbacbabccccaacbcabbccbaacacbbbbbaab
+aacbbbbcacccbabacbbabbcaccaabbbabcabacccacbbccbbbcaaccabababcccabcaacbaabbcaaabaacabbabbbabbab
+acbabbcbbccacbacaccabacaaaaaccbacacbbccabaaaabbabbcbaacabacacccabbaabbccbccbcacaabcccaaababbccbbacbcabba
+ccbcbcaabccccbcabcacbbabbccbc
+bcbcccacaabaabbccbccbabbcbcbbaaaabcbaabbcaabacaacabacacbbaccbbccbcbabaacaabcaabbbabacaaacacbaacabaccabbb
+bcabaccbacccb
+cccbcbcaaacccabcccbbcacaa
+cccaacbbacaccbacbbccbaabbcababbccbaaacbcccacacabb
+cbbacaabccb
+ccbcaabbcccbcccbcbbbbca
+bcccaacbacacbbbaaacccaacabaacacbacbaaaccaabcbcabcb
+caaaababbbbaaccaccbcbabccabcabbcbbacaacbbabbcacbcccbacbcbaaccacaabbacccccababaaabacababbccccabacccbcbbbbba
+aabbbbbbcaaaccaacacbcaaccbacbbccaaccbbbcbbccbcabaabbcbaaabcacbcaaab
+cacaabaaaccacbabaaabacababacc
+caaaacabbbcbcacacbcbcac
+cabacbbaabacccacacccabcbbbabbbcbcbbccbcacbcbbbcacbabcbccaaacabbaacbaaaabcccbbaacba
+cbabaaccbccabbaccacacabacbbbaaccbbcbabcbcabaaccbcccac
+baccaccaaaccbaccaaaabbbabbbbcbacaabbcccbcabacabaaacaacababcbcacaabbabbaababacaaccbccbbccbcbcb
+bbbbababcccbcbacacabbbbcbcabcaaaaacacccccbcbaacccbcabababaabacbcaaccccaaacbbcbccbacbbacabccaabcc
+acbbbcbaaccabbabcaaaaacabcacaacbcbbaabbabcaaababccbcabbcbababbcccbbbcac
+cacbbaaabccabbbaabaacccbcaaaabbcabbcabbbabaaabbabcbccbbabaacbabbbbabbcbcbbccabcbcbacaaabcbbcccaaababbac
+bbcbbcaacbbcbbccbbcbaaaccbabbcacbacbccbbbacaaabcaaccccacacbababcabaccaabbbcaaaabbaaaabbbcaa
+cbababacccaabcbaaacaacbbaacbcccbbaacbbbaababcbcbccbbbbacaabbaab
+bcccbbcbcaaabcacbacaabcbbbaaaaababaacbcaacbacbbacbbabaaccbcab
+bbccaabccbabbcaabbcccccccabbbaabccccacccabcbbbbccbbcaccbbcbcacccacbaabcacbcbacbaabccbacccccabbbca
+cccccccbbcababcabcbacbcbbbcbacaaaaabbbcbcbccaabbcabbabbaaaccccbcbcbcccccbcabcbccabba
+ccbccabbcacaabcbaacbcccbcabbcabbaccacaaabaabbbaaccbacccaabbbbbcbacaabbaaccabccb
+ababbcbcbaabaaccbaccccbbcacbccabbabcabbaaabccacacbcacaccbbbbcaccaabbccccbaabcccacccbcb
+cbbabaaabacbcbccabbaabbbcaaacabaaaccaabacaabcbacbbbabbbabaabbbaaabbcccaabcccbcccbccaababbabbabaaabca
+acbbbcaaacccccacbacbbccacbbb
+abbbabcabc
+cababacabbccabacbbbabccb
+bcccaaccabbcbcabcaaacbbbbbabbccababc
+babbacbaacbccbacbbbaaacccccaacbbcbccbbcacccbbababbbccbbabccaaccbaabcaaaccbcbacb
+cbcccbccbabbababbacbacccbccbacabbaaaabcaaacabacaacbbbbbcccaacaacbcbbcabbcbbbbcbbccbaccaaaabcbaabc
+ccabcabaabbababaaacabbbacbbcbbccbbccbbcccbcbcabaccaacbccbacbaaabaccacacbaaccabacbcbcabccb
+aabcaabbabcbcaababcab
+accbaacaabbbcabacbbabcbbcaaacccaaaccbacaaaabcbcccccaacccaccbcaaabbcacabac
+cacbaaaaaacacaacaaaaccc
+bbaaacbacaabacaacbbbbacbaaacbbabbbbcaaabbbaabaacaccaabbbcccccbacabcbccabccacbacaccacacabaca
+cacacaccacbbabbbbccaccbcbccac
+acabbbbbcabccbbbcbacbbacacccaacababcccccbaabcaacccbbcaaacbbccacbbcaabcabbaaacccbcaacacbaaaaccbbaccacaaacabccc
+bcaaaaaaabbbccccabcaccbaabacbabbaaaaacc
+216 112
+dcdbbbccaabbabbaadcacacbbcabbbbdaaddbbdaddbaddbdbbddbdcadacabdcabbaca
+acbbcbcaccacacdcbcacaddcaddbaacdabdbcbcccbcabbcdcccbdabacdbdddadcbaabbbbbcabacb
+adabdbabbbbdcdacccabcdbbadbbacbbbcbabbcdcdddcaacbbcbddabdaccccadddcbcbdcdbacbadbdbbbcbdadabaccb
+accbdaccdcabdbdccadccaddccaddacdbcabcabcbdbacaccabbdcacabdddaabdabbaabdaaddcdabccadbdadabcbdbbadadbbdcc
+adaabbaaddbcadbcddbcaaccaccbbdcdcdbdaccabaddabdbcaaccdcdddccabbcdaababacbabaadaabaddccaacbcdacdbcccd
+adbacdabdacdcdccbdbbdcbdaddaadcacbdbccaccdcaabdadcaddbccaabacdaddcbdbdabcccaabbbbdddacaaddbad
+bbbdacbccccacadabacdadbcbdcdacbdcdaaabbdcbcbacdcbdaaaaaddcbabbadababccdadadaaababbadacaabaccccadcacbcbd
+bbbdbaaabbbbdabcacbbbacaacacdccccadaabccacbcbcddabccccdbdaadcdcbdadddccdccadcddcdbaababacd
+abddcdcbabdacdacbbccbdddbccadabccbadacadddaadddbdccbbbabaabccddbabccdccbbcaacbbbcbccbaddbadcddabbcdcaddbbd
+bdaacdcdbbabcdacadaacbadcbdc
+cbccccbadabbbdcdbcddb
+ddcbadacbddbdaccaccdbdcbccdcdaadabbdacabdcddcadadcccdaaabdbbabbbaccccaacabddabdbcdddbbacbcb
+bcbcabdbcdbcccaaabaadadbcbcbaacacabacadaaddddbdccaabaacddabbdcbdbccdccdbcadbbccabacdbcaabddcaa
+dddabbdaaacdbbbdabbddcdabbaddbadddcacabdddbcddabdca
+baacccbcbddccabaadadddbdbdabdcdacacabbcacdacbaabcaadbbbaccdb
+ddabaccbacabaaaacdbcdaddddccaaaddbaccdaddaadaadddcdadddbabacaccabca
+bcaaddccddcabddaaccdaddabbccddcdabbdbbcabcababdbdcccdbbdcaadbacdcbcdbbbbccaddcacabdbcadcbcdcbca
+bcabdcbdcaaccccbbadddccaaadaccabbbacddaacadacccbbcccabdcdcbcc
+cbdaccadbcbbadbabcbbdadabbadabcbdaaabcabccbabaadbaddbdcacaacabddaabbbaaccadbacdabca
+bdabddacaaadabacabdddabdbcdadbaccabadacdddabccccadacacbdcdbadaccbccbbabbdabbbcbbcccb
+bbdabdccddadcdcaaadabacbaddbccabbddacbdcaaadbaaacbabdbabbaabcdbddddbdbdbaabcbbbadbadacdaddaa
+dbdadbcabbccabdccd
+dbbcbbabdbadcabdadcbbcaabdabbdbdadcddaddc
+ddbaabadadcadaaddabcabcddaaccababbabbab
+aaaaaddabcdcdbbbbcabbdddbaddcbccbacbcdaccabbbcbddcdababdbaacccacddadbdbbcaddccabacdcdcccb
+dabcacdbdabcacdccbdbda
+dcdcabccaccccbdddaabacacbbbcdccbdcbbbdcddbb
+babdbbdaacababadcbdcbdcdabaacdabbdbdbaaaddcc
+ccabadadccbcbaabcdddcaadaddaccdddbcbacabaaacbbdaacaccbbabddbbbdbbcadaccdbdadbcccadddbdbbdaacacacbcdabddda
+cacbaabcadabcbacaccdacccccabdcbdaaacacbabaadbaddbcbbcbaadacbdbaacddccadaaccdaccdbcdacdbdbcabbbcaabbdbb
+dcdbabcbccdacacccdacabacdccadcbcabccddbbaccbbbaccbabaaccdcbdaaaaddaaddaaaacbcacacdbbabdbdabadbbcb
+adddbadadbad
+baaadaabccbabbacbacdbbbccdcdadbdbaadbdaddaabcbbbcbbdddddaccb
+bcdbacababcabcbcabbbdbaddbaababbcbccbcadcccbbcdababaacabbcaacbdbaacdaaccbbbaccccadcbddaaaddcbbcdabbabaddaccab
+cabdbdadababaaddddd
+bccaacdbddbbcbbddccdccbdccddccccbdcaadaccccdcddabdbdcacbda
+aabdaddbdabcddddacaccaabbaccbacad
+dbcdabdbbcdcbadbadddabcdaccbacdbdcbbcbdcccdbdbcccbcdacbdcadbdbcaaddca
+bcacdaaddddbbababaddcbabccaccddddcccacacccabcbaaaadbaaaaccaababbdaa
+cccccabbaadabadbdabacddadaadbbddcbddbbbbbacbbadcbabcacababaadbddacbaaabbaadabcbbaacdbbdcdbaadbdccadcbbbbc
+addaabbddddbabcbbccbacbdaadbdbaabcccaaaad
+acacdbabadbbadccdbbbdbddbbcadbcdbadddbbdabcccdb
+daaadcbabdccbacabbcdccdbbdbdaabbadb
+cbcdccdcdbddabbccbdddcdabbadbbcdccdbaadbaacbaaccccbdbbcbcbdcdccccabdccbbcbcaadadcbadbdccacadbbddcc
+cabdadadcaaddcaacbcac
+dbddcbacadccaccaacbddcbbdcaabbbccddbcbaadaaaadccddaadbbaccbaaccdabdabbbcbbdccbdbbccdacdabccbd
+bbbbdbcdccaddbdaddbccbcabaacabbcbadccadbcdbbbabdddb
+cddbbccccdabbdcddabbacbdbd
+dacaadccdb
+dabbbbdabbdcdbcdcbabadaabdabbbbaadbcacdcbddcdcccdbdcabbdbcbaabdcaabdcbcdaddaddcbaacacb
+ccabccdcaccacdaabbccdddcbadacaacbdaacdcccabddaccbcdcdadbbdabaacaaccccaadcdda
+cadccdacaddcbaacacdbcbcbcddbbacdcacaccdaddcbdadbbbcdabddbacadadcdbaadcbdaacccbbcbcbcbaacab
+dbabbcabccdbcdacdaaadbdbddccadabacdddabbaaabaabaaaabacccadbddcbcbbbaddaddbccddadaacbdcbccccda
+acbabdcbdcbcabcccdbbabcacccbdadccbdbaabcaaadbcbdabbddcdadbdadddcbb
+bdaaccacccccbbbcdaadbdbaacbabbaacbdaccdcabccacbccabacdccdbbdadbc
+cccdbabdbadacbbaabacdaaadbcddaaaaadcabccbbbdbbdcbdbdb
+dadcacbadadadaadbbaabccabcbacbdcbbcdacabdaaccdcdaaaabdaabcdbaabbbadcbbbbcaadbacbdbdbcbbcb
+baddccaacabaacdabbbbdddcdabacacbcabccabbbadb
+dcbabccdbaabaacbcaabdaaadcddcddbacadbbcadcdddabaadddcaabbbbbaadcbad
+babcaabbccacdacbdbccbccccbddaddbdaccdacbbadbcdcdddcdcbaaadabdbadabbcddabdcccdbdccdaddadbbbbcccddbabdd
+babcdaabadaadbdbdcacabcbcdabddcbabdbcbcbadbddbbabababcccdbbadabbdbcdccaacaaadcdddbdacbdcadcddddcb
+dbdddccdbddacbdbcdccbbadcdcbcabcaacbdcbabbcaabdddacbababbbccadcbabcacbbbddbbadbdacbcdbddadaaaccbcaaaaac
+ddbbdabdcdacaddadcdadabba
+dbbccccccdcbadadbddddcadbdaabadcbabdcbcbda
+abcdabdddacbdbcccdcddacdbcbacdcbdbccdaadbcbbbdaccbdaacccdbcddddbbdacbdbdadddacbcc
+bbabadadbdcabbbbbcaccccdaabdcacbdddbbbbdadcadbcbdccdcdacabbbccdabab
+aaabdbbdcadbdaacaccacabccdcbdabccdbddabadbcabcaddbdbabbccdbdcdaaaccacabacdddababbaabdcbbbbbcbdca
+cccdacaaadaacdabbbbbaaccddb
+dcacaaaaddccddbbcdadabacdcbcbadcbdcdda
+dbbbacabadcbbc
+dacabaabbbaadbbda
+dcccaaadadbbddcababdcabaaaddc
+dcdcddbddcacadddccbcbdacccb
+dbcabbaabccccdbabbacababaababbbdbdcbbbabdbdbcbcbacaddbacb
+cabdaccbaadbcadbbdcacd
+adbabcdacbcadcdacbddcdabacabbadaabbbbdadbcdddacadadccbaccbcabddcbcccacadbdbc
+cccccdacadcaddaacdadbbdbaccdcbacdbabdcdddcdddcacbcbaababdacdcacabbcbacccbacbdadbbccbcaababccda
+cdddadcbaccccdcdbccabaad
+baaabddaddbcddabbaddccbbbcbdcdabbbdacbcadbaabdabbdaddddbaaadbdaabacbdcaccabccddaadcaacddddcacc
+aadcdacbaaaddadbbddaaa
+bbbbdabcdabaccacaaccbcdbaddccddaabcaaddbdababdccbcbabcacbaacdadabacbdcb
+ccbdacbddbdadbcddbdcbcddbcdbabbbbccccaadb
+dbddbccaadcccabbdadabcdbbcbbccbddddcadaadbabccdcbdcdbcdadbacadcddaddddcccdabbca
+bbbaadaaddacccababbaaabadcabbaaadcbadacbaaccdaacadaaadbbbbdabdaaacdaccccadccbddddbd
+acdcbdcbcdadddcbcdcaadccbaaaaadbcbdccacbabbbdbacccacbcbcacbdddcdccdbccbcbbdbddccaacacbbabccddabbdcbcabc
+ccbaadaabdabdacacdabadbdaaaddbbdbcacadcadaddccccaacacccaaaaddbcacccdbcdddc
+ccadabcbdbdadcbbdbbdabdbbddddbdcdadadaabadcbcdaabdabaabbdadbdbcddacadddddbabcadacdbbcacdbdacccbadcadbcdaa
+addcccbcdcbcd
+cdbdddcbcdbbabcbbabbaabbcabbbcaadcdccaaccbadadaddcbbbdccd
+bcdacddccabaadabcdbcccbdaabcacaaba
+bccbcbadddddcdcddcacdbadcaaabacaabcbbbabcccbdcbabbcbccdcdbabadbcadbddcbccdcccd
+bbcdaaddddabcadddbaacadacdddcbadcbddbaabdbadbbcddadacbbbaabbdbaaaccdaaddabbdbdbdbabcaabaadbca
+adcdbcddbcdccadcbdbcaccbcbabaaacdcbbacccbdcbbadbbddadadacdbccaaab
+cccddbdbdacbcddbabadbdbcadaddbbcabdbdbaadacdccdaabcaa
+dccbcdaacabbcacbbacaaadbcaadcdcbbaabbadbbad
+cdacdacdaccadaccaaadabdcdcccbcbdbcadcd
+ddcaaacbadbdcdacbabacbb
+bddbddbcdbdbbcdaabca
+aaddbcbdbcbabacbabcadabdabbdaddddbacdabddaadaabddbbccabbddaccaddadcdc
+accdacbdacdcddccd
+baaccaabacbacdabbbbbcccd
+cccdbbcabacaccdacacabbbbcacdbccdbcadcaacbdccababadcccccbbbacadadcbcbca
+acbacdbddaaaacbbbaabcacdbaddcdaacdbddaabbaabdabacbabdbdacddbdbadbaddbcbcababdacbadbc
+bcbcbbbabccccaddbdbcbaaadabddaddcbad
+acaccbcbabbdbdcaacbcbccbadacdaaabbbdacb
+cadbbdaddcddadbccc
+bbcccbbbdaccaabdbdcddbdaa
+daddcbbccddbdcabaabdcbdacaadbdacadacadddcadbcbaddabcccdbabcbcd
+bddddbdddcddcbbabbca
+ddaccadccaabbcca
+addbaaacbcddbdcbcccccdacdbbccababbbdcbcbcdcadbcbcddbdabcbbc
+cbddabacabacdbabadbcbcbcbbbbadabbbbcbacbcccadddbddabacccdaaadadccdbaadaddccdccccdcabacbdcccbddddbddcbc
+daccccaabdaacabddbbdccbbdcdccaccdcbdddcabdddaaddcbddbaabdcddabdbdccdbdbccbaccdabbaccabcbbacadbdbbab
+badbddcbcabaabdaadadccababdabbd
+dcbcbacdccbcccaaddabadaaaadbaadbdcdadcdddabdbdacaadcdcbcbcbbdaadcadb
+abdccadddcaccbdbbddcdbcdccaabbdabdbacdbccbdacbdbcbdcbbabddcbcabbdabbdccbbcbcacdcbbdaadbabcaddcdbdcb
+bbbabddcdccabaaccdcc
+dcdcbbacccdadbcdadbcccacdc
+bccabaccadacabaadaabbcbaabddbadbabacabcbacbaadaabbacaabdbcbcdadbddbccbbabab
+bbadaccddacaddabcadbcccdaccadbccbaddbbdaacdcbbaabaabcacbaaaccbaacabacadbbbaaaabbcbadddbbbbcac
+dcccdddccbcdaaddaddacccdac
+acbbdccaddbcabbabacdcbcdadadabbddbdcbaabbd
+abcabbdcbdccadaddadaacaadbcacbababdcccdbcacccddbcdcaabdaabdcbacdbdddbdcddcbdbaacddadbbcadbbdaccabbaadbc
+bddabcccadcaddbdab
+cbdbadcccadaacdcaaabacbbbabb
+ccaaabdaddcdddbddcabddacdadaaadcbadbbaadbcbccacddcabbdbccaabaacbacbabdaaacddabcdaac
+dbccababccbabdddbabcbccccccbabcbddbaacdbaabadaacadabadccad
+bbdabbbadadccbdbbbcbcdcacbcbbccddcdcdcaacccbbdcbcbdcbababaacaddac
+baababbcdaaccbaddabdcbcbdbcdabbddabddabdbdcbbcaacbdbabbb
+acdbdaccbdcc
+dbccdbdaaabbdbcacddaddcd
+cdacbbccbcdaabdabcbaddd
+aaacdbcddcdbdabccaacbbbcaacadaadddcaccccdaadacbdcaccbaccdcdbbddbdcd
+dcaacccacdcbacccdbdaacdcacabcbddadabaabbaddccdbadbbababcdacacddddbccad
+ccddddcaaddbaacadcacaccbaaabdcaddacadbadccdbbccabbbbcbbddddcdcabdcacabcbbcbcddbcadcddbbabcddbcbddcdadb
+dbdddbaadcbdbdcdbacabccdaaadadccaabcaadccc
+cdbccdbacaabbaddddacabdbbddbdaaadaaadadbbdbacdbcdddbbabacbbabaacabbcbdacbddcadbcbaccdbcadbcbd
+bdccabdadabbddcdbddbcbaabcbbdadcadacddcbddbbbdcbccdbadababbbddcdcbaddadbbadadbabbabdc
+cbcbacdcdcacbbcdbaadbcdacddddcbadcbddabcbdabcadaddcaadcdbcdbaabdaacbcacbdacccddbdbccadacdaabbaabaaaaa
+dcbcdacdaddcdbaadaacaccdddbdcdcccbacdcbdccccaabbcccbacabbdcaccbaaabdcaccbcacdbabbccabacddbbabdabacdbdcacdadb
+bbdddcbabdcbadadddbabddadddcddbdbcbbbdbbcddabbbddbdbdacbcbccbaabccaa
+babdcbcdccbbbdadcddaabcdccbaddadcaaadacbacbbdbbcdbcdbabadbabacadbbcdabdacdadccccc
+bdccbccdaacbcabbbaadabdcbbdddcacbaddaabccabbbaaccdddaddcbbbcadccad
+cabadbdbaaaccdbcbbbdbbdcabcbacbdbddccccaadbcccdc
+cdadbdddacdbabdbadabbcddbcbcadbbbdcbddadcabdcdcbacacdbbbdcdbdabadddbbdabdddcddbdddadbcacbaadbcadbcbdcaa
+ddcccbcccccbcddccdcccacbdadbddcbdbbaccaccb
+caddbabcbbcdcbaddbabddccbabdddbccccccabbdabacccbabaaadbdcbabddcbabbbbdcbcddbbddccabacdcacaddcb
+cbaaaccaccddddddacdaddbcdaabbabaababbcdccdadcacbbbbcdcd
+abdabcddabbdcbbadaadaaabb
+cbbabcbbcdcbacccbbcddbbcaacbabcdaccaaadababbcbada
+cbababbcddaadbccabddbdcccdbcdcababdbcbbcaabacbaaaccbcbadbbaaddbbcdbadaaaccbdacaddcadabcdbbdcccabaaaadbabaaaab
+ababcadbbaaaacb
+dabadbbcdbadaadbddddacbccaacdbdadccaddddca
+bddcdddbbccacaaacdbbccbbcbacbcdaccbddddcddddabaabaab
+bcaaacbdadcdcbaacdbbaacddacdbabbccadaabbbadcaccaabaadcadbcacbddbcacbddbddacccbaccbcaddbddaaabadccabbbb
+babacdcccabcbbbbabbbaaadbbbbddabbdbdcbaadaaaadbadbcababccaddabdbaaaaddadabbdacbbdbbdcdcab
+bbacdacbdbdcabbaacbbdcbacdccccaaccbacdddbdbbddcbddbcbbad
+ccaaaacdbbdacddbdaaabcabcaabadbaabbcaddbaadadbbbcdaacbbacbcbcadddbaadaaaaddddadadbbadbbdddbaaaddddcccdccc
+aaccdacadabccacadacdccbbddabad
+dbcdcaddddbacddbabdaddddcacbaadbaaccbabacdcdadbbddcbcbdaba
+addbcdbbccbcdcbaccbdbdaadbdaddbabccddadbaadbdcbcdcdddaacbaccbccadbdaaacacdacddbdcaa
+caabbbacbadcdddddabcdbbcabcbabddcadadc
+acdadbdbcbbacaddaccaabbbabaccaadcbbcadcdcbdcdcaadbdbddbcbddcbcdbbcccccdcbacaadacdabccbbdbbbaaca
+dbbbdcabaaaaaaddabccabddcdccddcdcbbccddccdcdbddccdaaaaaddbdcbadaacbacacacdadcbbbdbbbdabbbbcb
+cbdccadaacdbccdadcdcbaacaaabdcbcbdabdacbcacdcbdaaba
+adbadabbccddcbcbcddaddcaadcacbbdddcddbacadbbbbabddadadadbbcbbabdcdaaadccbcdbcbbbadcbccddddabb
+addbaacccddbdcdcd
+cddcaaadccbadbadddcbbbcdbdaacaacbcc
+bbdabacccbacccbcacababcbdadabbdccddab
+dcaaacbacbcdabbccbadbbda
+bdbbdbcaaaacacaabbbdbcacbacbbabbccacbdcbdbad
+cadaddacaabcbbacadddcbddcadddccddbccadbaabcbaabccacddccdccabcdabbdccdbdccaaccbacbdddcccadbdbcda
+bdcdbbbccabdacdddacabaaadb
+cdbcdabdcabccdcacaababbdbcbaabcbaaaaababbdadaddbdbabcadcbddabbbabbdacadcaaacdadadcbadcbad
+bbbdccdcbaaacbcabddaddbaaadbcaccbcdddaaaddccbcacabdbbbbcbccacaddabdadbdbdcababdcaccbadb
+bccbbacbdbbcccddbaabadacaaaaabbbcaaabcdbcbbbcbdadcacccdaaddadd
+dddbcabbdcababcddbcaabaacddccdbaaad
+bbaccddbdcbbadacbacdcadadccacaacaddcdcdbabcacccdcdaaaaaaacbadadbdccadccabbadaabdcaacbccaaaacdbaddcbcabd
+adadabdddaaacacbadadadcbdcbadccdaaabbddbabaddaaaacadadccabbbddbdcbdcdaddcdbcd
+cacccadaabcabbcbabccdddddaabadbaccacdbcdbddcbcbbbadbcacbbcacaccddabdacdababbddababcdcca
+ccddccabdcaadbdcbbdddadbcdaadcdcccdaadcaccbcabaacdadbcdbadabbadabac
+dcbcaaacbacdda
+abccabccccdcaadddbbbabaadadacabbcddddcbdbbbcadaacaaddccacaccacbbacabbcd
+dcdbbcccbcbbdacccccbddadadabcbdbbcbddaabbcc
+acaccdcbcacbdaaadcdacdcbbadbccdccabaacabddadddabcd
+bcaabdbcaacbdacbdaaaaabbdcabcacbbdaaaccbbdbdcdaacbcdbab
+bbccbcccaacbbcdddaccbbaabadddabadccbababcbdadddcdabdcaccbaacbdacabbcdbadcacaccaadababcbcdadbbdcdc
+dbddbadaccddcccbdbbbadbbaacdb
+ccdcdadabaaaababbcc
+cddbddaddbddddabccadbddcdaacbbddbaccddabdcbbacdcccdcbadcbcdadbddddbbbacdacdcaddcdcaab
+adabcdbcbcbddddcdacdcdaadabaddcabbcaaccbadd
+bcacadbacdcaabcaddccdcbacdabbbacbd
+cadabadddcaccccddbbbdacaabdbbdccdcbddabccdcbabaaddadccbbaadaadbcabbdbcdbccbaacba
+bbdbdccccdaddbbadbbcbbccddbcabbdadddcbddcdddbabbdaddadcaacdabcabddddddcadbdcaaacabbacdca
+caadcbaddbbadddcdaddadbadddadabaabdadbcabaddabbabadbdbdbaddcbbdcddbdbcabddbadbadcaacbdabaddc
+cbcadcdcaacabaacdcaccdcacbaaadcdacccdbdccbcbdbadadddbcbcdbaabaababcbacaccdcdbbdaabbda
+bcbacddacbddbaccbbcabadcadbcaacacbccacbbcdbbdaddcaddabadddbdcaabcacbbdbbcaaaaabaaddbdcdaccdacddccbcaaabb
+dbccaaadbccbddbabdbdcdacddccdbacddddccbabbdbbcbbbdbbccbbabdcbcdccbaadcacdbcabccadcddbddba
+cbadcacbabaccbccabbdbbaccbddacacdaaabcaaca
+dbbccaaabdbdbddbcbadddbdccdbbaccacbcbcbdabdcdbbbcbbcdcdaccadbabacdcbbbcacdcccdcccaacbddcbcabcbb
+acbcbabdbcccacddadbbadbcdbdbabcbcabcdddadcaadbcccbbdcbcdddcbbacccaacacdccddcdcadabcdcdbabbcdccbdb
+bcbcacbabcccdccbdddcdbdacabcbacbbdcbaddadacbbcdbbdcccab
+cbabdcbbdaacaddcaacabcbcbdcdbdadbadbdcadcabccaabcbdacdbaabbcbccbacdadccbcadbdbbbccdbacddd
+abcadccbbcccddbbbccccccbbddabadcbddbcdcdddbccabdadabbbadcdbdcbaccdd
+aabdbbdbbbdbbddbbcabbbabaa
+cddcbcacbdccaccdbcacabcbbdccaababcbccbabcddcaaabdbbdccccbbbcbcaddbdaadcabccdadccabcdb
+acdbabddaadbbacdbaaccbadcdcbaaaad
+cacccdddcacbbabacbcdccddccccacbdaddbdbbdcddbcbcacdaacac
+abaccbdddaadbbaaaadcbcccdabbbadc
+dabaacacadaadbdcbadbbbaadaaababbdbaacbbbadcbcbcdcbdddabaadaaccacdaacadcabadccbad
+bccbaadbccbacddbbabdadacaaaabadcccdabdabcaddcbacdddcdbccadacdcbcaaadcccacbdccccdaacdabdbcbacbacabc
+bbcdcadcdadabaacadadacdbcbdcccaaccaabadcabaadccdabddabcaccbaacdadcdcaacccdbdd
+dcbacabbdadcdadabaabacacccbadbaccbbbabbbccabbbbacdcbaccdcabdacbbacdcabaccbadcdaaabccacbcaaaca
+cdbcdaccdabddbcccbbbaccabcddacaadcddcadcdcdcdaaadaabaabbacdbadddcddddbbcabdcaabdbbbbababcabbbadbbbbbbbddda
+bbbcbadbdadabaaacaaacadcccdacdaabddcdbcdddbcacbcadcadcadbbd
+dbbcbbaccabcccaddbcbdadcbccdcccdabaca
+21 2
+abbcabbccacbbcaacaacacbccccbcbbcbaca
+baacaabbbcbbbacaabccacbbbaacaaaaabbcb
+acabccaaccacacbacccccacccabaabbacacacbccabc
+ababbaacccabacacbabcacaabaaacaacabbabaabbcbbabcbbabbbbcabcbcaaaabbccacabbaa
+abbbbcbccbccbcabbaaaabbabccccbaacbbbaabbcaaabbcccabcacbaaabaccbacb
+caabbbaaccabcbbccacccaabaccccacaccccccabbaaabbacabccaabcbabaabbacbcabcbaaacbb
+acbabbabcbbcbccbccabb
+abcaaaabaaabaaaaccbcbccc
+accabbbabccabcabbbacabacbabbcbbbaccbbacaababbaaabacbaaabbbaababbbcbababbbccbbababbabbaaccbccb
+ccbcbcccbcacacbbccbcabbccaaabccaacaaccbcccaccbbcccbcaaabaccbcbcaaabcbb
+abcabbccbabccccbacaabbc
+bcabcaacaabbbccabaaaacaccaaccacccababccbaabacabaaabcbccbbcbccbaaccccaccabaabcabbacccb
+bcacbcccacccacaccaabb
+accccbcbacbabababbc
+bababbacabcabaaaaaccbbcaccbcbbabccc
+abcbacbaacabacacabbccacccabccbccababbccbcbabbabacbbacabccc
+cbbbaaacbaaabacbcacabacaaa
+baacabbccccbcaaacabaabbaaccaabababbab
+cacbcbcbacaabcbcbbbacacbcabcabbcabaabbacbccbcabaabbacccbcccccabcabcba
+baacbaaaacacbccccaacbbbcbabbccacaacccaabac
+bbacbbabbcbcaccaabbbaaacabccaaaccababbaacbbbbcacacabcacaacacabcacaaccaacabbacacabcbbbbb
+137 51
+dddadbcaabbcaddddbbbabbaaacacdccbbaacabadcbabbcdabbdcdabcbabacbcbbacbddaccaccbdbaddcaaadcbbcccd
+aaddccddcbcbbdccddbbdbaccbbbdcabbdcabbbccdcddabbccdacabcbdbabcdccdd
+cdcbcccbbcabcdbcaacdaccdddaaa
+dbbbabddbadcbdaba
+bdcdbabdbdaacbaadaacdcaabcccbcadbbbad
+abaccacbaabbacbdacabdbabcdbdcbccbaddaccbabbbcadbccabbbccdbbddcabcacabdccdccaddd
+aabcddadccdcdbc
+bdccbcaccbbcddcabbdcdbcaabccbacdcaabbcbdcbdbdcdcccaadaccbcdcdccacbdbdaab
+daabccaacdacdddcbcaaadccdbadcdbddcabbcacbbbabcbbcdbadacdadbddaabadbcbdadcacdcaacbccdcabd
+cdccabbdddabddbdadccdbccddcabdccdacaaaddcacabaacadbdcbddbdbcadd
+dddcadbaacabadcabadaacddabacddbccacccbabcaadcdcbacdaccaccaaacbbcacdcaa
+dddbcbcbbdababccbbddabbcdbaaacdcbacccabccbabbbdbcddadbc
+ddaccdaaaddbccabbcbdabaccabcddbaaabbcaabdacadcccdaabbcbbbbabdccbacdbcbcabaccab
+cdcbaadbbbcdcbaacadabbaaabbcdbcddaccdcdbcbbbdddbacadcbacbdcdbdcdb
+cadabaabacdaacdcbaccababbddcbadabddbabddbccaddbcbdaddaadcbbbad
+bdcdaccabacddbddccbbddbcbdbadadddcdbcbdacdbdcaaacdadbdddbcddacbacdbccc
+bdbcdcdbcbdbbddadaddbdbacddcadbcddadabcdabdbcaddddddbbdddbddabbbdbcccdbddadbcbcdaadaccdbaabddbdc
+bccdbabcddccbadddbbaadaabaabdaadcdabadacdbdcba
+cccdbcaadbdaaadccabbdcabdaaaaacdbbdcbcccccccabaddccacabbacadccccaadbadbadaccbbdbacd
+ddcadcbbbcacabcbbbdbcbacccbdbdcabaaadaccadaacabaddaaadbabbdcbcbcdbbbccabbabdacdaabcdddbabbcdacacdbcaacbadbaaa
+dbdbabbcadbabcddbbdbaddbbbbddbbacabcdabd
+ddbcacdbdcdabbbaabacccadadbcaababaccaddbbbdaaaddbaadabcbdbbdaadabdaccbbdbbbbdadbcbb
+cbccccaccaccbcabdbbbcdaa
+bcbcdddcabaacdadcdadddbacab
+babbccddcbdcddabacbdaaddbdabbbbdcdbaaaaaadccbaabbaaaacccdaacacaabaaacdcdcacdcaabcabbadcdabc
+ddaddddccbadabadcccbbccddacacaabbbddacddcbbdcacdbbdcbbddaacababcbcbcdcac
+cdccbbbbcddcbacadbcdadabcdccbbbadbdaccdaccadaaccbadcbadbacdbbaabcbaadbdadbabddbccbbaccdaaabcccc
+dbddadbbcabdbadbcaabadaccbaaaacdbbabbddbbcbbbcdaaaccacaacbdaddaddcdbacabacbcadbacacdacaadbccbcbccabadccaccba
+acbadcbbddabdcadaabcdbbdcdddbdbdbbadabc
+adaadbbcabbbbcacddbdcdacaddaddac
+daabcadcddccabdcbddcbbbabcdbcbaaddcccadbbbaadccacbdbbdadccdbacaca
+abaabcbcddbcbbdcadb
+cdbbbcddadcddcdcbbbbddbabd
+cdcaaddcddcabbadbdacbccabbdbcddbbddccaccdbabdbbaaabaacacdbddcbbdaaadcdaccababaaaabddbabaabcaa
+ccdbabaaabbcaacdaadcaabadbcbdcccaaddcaccbabcbadddcabadaaccbcbbbcdbddabbbdabcdddbbacabbcbdbdb
+cacddbdcdbdcdadacddcdadcccbadabddaac
+bddcacabccdcaad
+dbbddacbabcbbabbdccaabdbccdbdaccbcabccddcabadaabaacaccadaaabcabbaabdbdcbdbadbacaadcaaabcdaccbacddcadbbddcba
+dcabbdbdaadccddddaccaadadabcbaadbcacdabbadcaadcacbdcda
+bacabacaadd
+abccccaccbdacdc
+dccdbadbdddbcbbaabbbcbcacddacacabaadbcdccbcdbcbbcdabcbadddaabccbabdbcbccb
+bdabcaadddbacacdbbcdccdbdcdbadcbcacdbcdabacaaccbbccdddcbbddbcaddabcadbb
+dbccccabadcacdddcdccdacadbbbaccaacbdbdcbabbbcbddbbbddcdccdcbadddadc
+aaadcabdcdbdadcabdbbcabbcdababcddacdacccbadaddabcddaacaddcbcadddaadcaadccacbbaadbcadaadbbcabaaccdbbbcabbabbda
+addbdacdacadccabacbdcdcccdacaaddcaacbdaccdbdcadb
+accccdadcdcaacdabddcdaddcaaadadbbdbaaacabaabadccdcccab
+bdaddccaadbccbbcaddbcdbbc
+bdbdcbcddccabb
+dbddbbcdbcdaddcaacabccdaacbdcbcaacdaaddacdbdddcccbbacbdcccdcaccdbbcaadcaaaccbcdbcdcdd
+ddaaacbdbddbbdbacddbbbbaabbabccbbaabbaccbbbdcccddbbadabdaaaaa
+aadbdbaadcadcbdcdbbcdcacacaccdbbbccdcbaaacddbacbcccbcbdacaacbabadaccbdaaccbdcccdbacaccaaccaaaa
+dbdbccaddaadcdbcbb
+baaabcdcdcccbddbcccadacadbbdcadcbbcabddbcabaabbdbcdddabdacdacaaccbdcbaaccbccacdaabaacba
+dacaabdcaddbddadadcbadcbacdcaaaaacaaadacdabbcbdadbbbb
+abbacbcbcdaacaadbddaacaacabcdabaccbbcdacdcdc
+dacdaacaaaccddbccadbdcdaabbddbbacddddbca
+aadcabbcbbcbddabbcadcdcbddcdabbddbbdcdbacacbacdbcbaadbdcadbbaccbddcdabdbacdbdbbbcabadbadacdbabbdadb
+cbbccaabaaacccabacacdbdbbcacccbdbccccdbcdbaacdacbbaabaabbbaba
+dbaccaabaadaccccadadbadbbdbacdcbbabccdcaabbdadcbabccdcdbbcbdbadbcccdddabbadabbdccbabbdaaaadacbbdcdbcb
+cdbbaaccaabbbdbddcdadbacabaaccdcabdabdcdadcaaadbadadabddbaa
+dbbcbbdcbcdbbbbdbaddaccbcccdabcddcbbabcccdbcccbccbdbcdcbdbcaacadcbbcdcdcdcbbaaad
+aabacacdbbdcbaccaaadabaaacabbcadbccdbd
+cbdccbadaccaaaacbbacccbdcdcbabbdabcdcaaddcdcabcdadaadcaacbabcdbddcaadbaabccbcdaacbcadbcdbabbac
+dcdbbbdccbdcbccbbbddbdcddbbaaaadbcdadbdddcabbadaabdaaddadbbbbadadddabacccadccbcacacabacbdc
+ccdacbaaccdbbbdcdcaccbddcacccbcdcdcdadacbbbcdcccddbddcacddccddabdbaaccbccdabccadbbadcdbada
+dcddbcaddcaccbbcddcddbdcbddaccacbaacbbaccbbbabbbdababadadacdbadbadccdcabdddabdcdabcdcbcacbcdcbacdbabdbadcaba
+cddcbcbaacdabcadb
+acdaadbbacbdabbcddccdddcacdcdcaaabddbdddddcc
+badabdddcbcacbacccdcddaabbaab
+daaaadcbccbbbcccbdb
+caadbdbccbbcaacdadbbaaaddccacdbdcacdddacdacdbdcbccbaaadbaccdaacdcbbbcdcdddcbddaccdcdbc
+ddabccddabddcccdbbcdcdaadadaacabacbbaccacbcadbabdcddcbbcaabbdcddbcdccbcbcddcdadccccdcadbcddadccbacbccbaaac
+cddcddbabbdadaccddbbccacbcdadca
+acdccccacabdccacabadbadbacdbdabcadadcdbccaddddacccaccadbccccdadaacbdcbdaacabbbcccdcadaabdbcadbcbdacdabddccbc
+dbbcadaddccbcbbcccabdacaabbaacabddddcdcadbccdbbaddbcdabbaaaccdabcbccacaadddbd
+adacaaccdacdcddadbcdbbbcbacbdacaabcbccbcbbcacbdcdbabdadccccbdbddcdcdadaaacbcba
+abbacacdab
+baacdaababa
+cdbbadcddadccaabbcdadbacdcacdcdbaabccdacbdcaccbcccddaaddccbabaaddadcdcdddaddbbabdcadbcdadaddbacdaacacdadca
+dbacdacbbaccabbbacccaaaddbbcdbbbbcccbccddbcdaaddccccbbbbdcddddcadca
+bccdaddcaabccababbdbcbccbadcbabddaacabaadacccdaaadccadababdccdaaaababbbcdcbcbcdcbbaddddbcabbbccdbaaabddacacb
+bbbaccdbbdbabdacabacabdcabbdacbddcbdbcadddcdbbbabaaaadd
+bccbcaacdcbdcdabdcaaabbbcdbabaccbccabadbddbcaddcbbadbcddabbcadcadaddcbbadda
+acdaabcbdbaacdaaccddcbdcdbbadadccacdbaaadcdbadbccbcabcdcbabdbdbbbdcabcd
+addcbdcdaddaccbacabbbbdcacabdddaacdbdddccaacadaccabcdadacacbcbcdbadccbbbdbabcbadadbcbbcccbdbbdbabbc
+abbdaabdcccdcdcadddcdadaaacdcdcacdabdcdcacddadccddbdccbcdbaccdcdbcbdadcbcdddacccacabccbbaaccdcd
+dbaddadcdcdadaacccbbbddccadcddcbbdcdadddacdacddddcdaacaaddabccbdbdbcbcabadaddbbc
+adccdbdbaacadacabdbcbbaabdbbabaccacbaaabdadcadbdcadabcdabddabd
+cababbbaaddcbcbdddaabccbadacadaacddaddadbcad
+baccdbacbaadabcbdcabbacbacaaadbcaccba
+cdcbbcbbcbbda
+dbbccddcccbddabcadd
+aaabbbaddbdbccdddacbbbbacbdbbcabdcbbdcccdaabacbdabaccbccdbababbbcdbcccbacbbcdccbccbcccdacdddaddccddbbcc
+cbaccbbccbbbcbdadacdddcadcaccacbbbad
+cdcabdcbdcadadcbbccdacaabdacdaadaacadadacdaccccdcbabccbadddbb
+bcccabdcbababdcaaddaaacbdbaaccccdcadacbdcddbaccbadcabbbabddabdbcddadbcbdccdabb
+cdbdabadaab
+cdcacccdddabdbdbbdbccbacadbdcbbbbcbbbdbdbbdacccadcbcadcdcccdbbbaaddbdbcabddcbbdaccadcbbadabbbbbcddbcdacabcba
+dcdbacbcdbcbbaacdcadcdacdabd
+dbabccdcdbddabaabbdacdbdbcdacddbabbbbdddadbcadacdaaaaaaddbabcbaccdbcccaabdbddd
+adcdbddcaadadcdcadcbbcadabaaaadbadcccacaaddbdbacabdaddbadabdcbbaacddcacccbcaacbdbcccd
+badababcdcbabbddddbabcdccbdadddacdaccbcbdbcaabcdcadbcbaacddcadccadbdbbdacd
+aabbddddcdcbddbcdaacbadbdccaaacccddcdbddcdcbdaddabacadcbdcabddddacdbabdbbabbabc
+bbbaabbbbabaaaadcaddabbbcbddddcab
+adccbbcbadabcacbaadabacbaabaabbbbbacbadbadbacbacadbaadcbcadcacdcbddadacccdcdbacbdcacc
+bcaaccccbccd
+accabacdcadabddcbcadabdbbdabdaaaddbccdcdcaaacccadacbdbbadabbcbaadbdcdbcacdddadcbabaadbcda
+babbccaabcaaccaccadcbcdbccadbbbbdddcdbdbcbddadbcdaccdcbbcccdabcdadadbacdcacacdddbbacbaaaccacdcbadccbbccad
+adcadbbbbcbcacbba
+ddbcaaaacdcaddbaabddbaabbccdcabacbdacacadbddbacdbdccaccbabdcbddabcabbbddbcbaddacddbcddbba
+cbbbccdccadbbbadacbbadbaccdbbcacdddbaadbaacadcaa
+badcdddccadbdacaadaababdbbdaaccbddcdbaacbbbdaaacacddbdccbcabaaacabdcdbdbaaddcbaddaacddbbdbdbcbcc
+abbbabbcdaddcbcaccbabaccbccdadbdbccddabbdccdcbcbabbc
+addbddbcabbdbaaacbcaddbdbdbbcaabdabdccdacbbaddbddbdacbcdadcdcdabbadabbabaabcabaa
+dcbdaccacdcaaabcbdabacdddbcccbcdabccabacdbdbcbdcbaadcdabdcabdadcddbcdacadbbbddbbdbaabbadabadcdd
+acabcbdaacdbcbddacaacccdcbbbddbbacddcadbdadcaddabadddddcdabaacdaadbcdbcbbccadddbcbbdabcb
+cbdcdaccdabcadaacabccbcdbdbcbcddabdbabbda
+baaddaacabbddaaadcccbbbbbdcadcaabdbabdbabbadadcacaddbadaabdbccccc
+acaadadcabccdcdaadbacdaccbcacacbdaddcabcbcddbaccdcbbbcddacbabccbdacccbacdbaadadbabadacadbcacccdbdbadcb
+bcbbdbacabbbcdbdcdcaabbdddaaabadbcccbadcbcbccaadccccdbcaacbbcccccaaabacccadcbdcaabbcdccadcbc
+cdbabadccabcbdcbcabadacacdaaddaccdaccbbacdccccd
+adabcadcccbcacdddbbbddbcaa
+ddddcbbcccbbdcddccdccddcbbacdbccdbabdcdaddddadabcddacaaabb
+bcbcabcabbdcaaaabddacbbcabaaacaacccbcdbbccccccbdaadccdbbbdcaddbbcdbbacbdadbbbaccccccddbaacdbbba
+dcacbaabccdcbbadabcaccadacbbccbaadbbaaadadddbbbdcdacaabbcccbabaddcabdaacdaddaabdbcccbbdcdaccdddab
+cbcaadcbaacbccccddacadbbbdcbdddcdbabcdaad
+dcaaddaddadcbbadacacdadbcbbcaaadacbbbbcdbdbbcccdbcdacacbb
+ddaabadccabcbbccaacdbdabadaccad
+cccbbcadabbcacabcacbbdaddaadadaaaaabccaddabdccdaccdaccbcaccdcadaaaabac
+abccdcdbddcbabbbccbcbcbcddcdadbddaaabccaaababadbcdccaababccabaadddbbddbdaacbdbbdaacbbacab
+dbcdbacdaddbddcc
+bcdcdcaccadbcadabadccbaadbdacabcaacbcacaaabccbdabbbaddcdaabbdbddbcbcaabcaaacddabbbccbdbbabdabdbcdbbadb
+bbdaaadddbcadaacadcabacbabccadbcdacccaacadbabdd
+daddaddcbcbadaabdbaccccbbbcacdbddbbbdbccddbadbcbaabacdaddbcaddabbbdacaabbdacaccbccaaacdbabaaddcba
+adddcbabdacccdbcbbbbbbcbcdccaaaadaccabcbcadcacbcacdacdcdddccbabbaabdddababd
+cdbbcacdaabdacbddcdaadbdcbadaaaabbaabbdbccacaddbddcdaabddcdbbddbadabadbddbdddadcbcacdbab
+70 32
+abaaaabbabbabbbbaaabaababbbbabbbbaaababbaabbbbbabbbabbbaaaa
+aaaabbbbbbbbbbabbaaabbababbbbbbaababbbbbbabababbbbaabaabbbaaaa
+abaaaaabbbbabaaba
+aabbaabbaaaaaabbbbaaaaaabbabbabbbababb
+babaaaaaababbaabbbaaabbbbbbbaaab
+baaaabaaabbbabbabbbbabaaabbbbbbaaaaabaabbbbababbba
+babbababaaaabaaaaabbaaaaabbababaaaaaaabbbaabbbaabbbba
+ababababbbabbbaaaaabbbaabaabbbbaabaab
+baabaaababbbbaaabbabbbbbababaabaabbbaaaaababbaabababbaabbaabbbaababaabbabab
+aaababaaabbababbaabbbaaaaaabbaaaabbbbabaaabbbbbaabbbabaabbbbaaaaabbaaabaabaabbaaabaaaabbbbaa
+aababbabbaaababbaaabaabababa
+baaaaabbbaabbbaabbbababbaababbaabaaabababaabaaaaababbaabbbaababaaabbaabaaaababbababbbabbaaaabaab
+aabbbabaabbbabaaaab
+abbababaabbbabbbabbbaaabbbbbbbbbbaabaaaaabaabbaaaaabbbabbaaaabbaabbaaabaaaabbbaabbaa
+aabbaaabbaaaabababbaababbbbbbbaaabbaabbaababbabaaaababbaabbabaaabab
+bababbbabbbbbbbbaabbababbbaabababaabaaaaabbbbbaababaaaabbbbabaa
+abbbaababbaabaaabbabaaaabbbbbabbbaababbbabbaabbabbaaaaabababbbabbabbaaaaababa
+bbabbaaaaaaaabbaaaaabbbbaaaaaaabaaaabbbbaaabababaabbaaaaabbbaabbbbbbaaabbbabaaababbbabbbbba
+baabbbabaaabababbbaaababaaaaabaabbaabbbbbabaaababababbaabbabbbbbaaaaaaaaaababbababbabbaababbbabaabbaababaabaa
+babbaabbabbbaaabbabbabaabbbabbabaaaabbbaabababba
+bbabaabbabbbbabbbbbbbaabbaaabbbbbbabababbbabbaaabaabbbbbaabbaababbbabbabbabaaaababaababbbbbabbabaaaaabbbaa
+baabbaabaabbbbabaabaabaababbbabbaaaaabbabbbaaabaababbabbbaabababbaabbaaaab
+baaaababaaaaababbbabaababaabaababba
+bbbbbbbabababaabaabababbaaabbbabbabbabbbaabbbbbabbbbabbabaaaabba
+babaaabbbbabababbaabbbbaaaabbbaabbabbbabababaaababbbbaababbabb
+aabbabbbbaabaaaabbabbbb
+aaababaaababba
+ababaaaaaabbbbaabbbbbaaabbabbbaabababaaaaababbbaababbbaaaaabbbaaabaabbaabbbaaaabaabbababbabb
+abbaabbaaaabbbbaaabbabaabbaaaababababbbbababbbabbbbbabbbbbbabaabbbabb
+bbbaabbabbbbbbabbbabaaaabbbbbaabbabbaaaa
+aabaabbbbbbaaaaabbbaab
+aaaaabbbababbbaaaabaaababbabaaaabaaabaabaabbbbabababbbbaaaabbabbbbbabbbaabbabaabbbabaaaaaababa
+babaabbbbbaabababbbabbbaaaababaabbaaaaabbaababababbbaaabbab
+bbaabababaabbaaaaaabaaabbababbbbbababbbbbbababbbaabbbababbbbabaabbbabbabbbbbaabbbbaabbaabaabaababbababbabaab
+bababbabbbbbbbbbbbabbaaabbabbbabbbaaabaab
+abbbbbbbbbaabb
+baabaabbabbabaaaaabaabababbabbaabbabbbbaaabbaabbabaabbabaabaaaabaaa
+bbabaababbabbbabaaabbbbbabaabaabbabbaaaaaababbaabbabaabababbabbb
+aaabbbabbaababbaaaaabbabababbaaaabbbbbaaaabbbbbbbbbbaababbabbaabbbaba
+bbababbbaababbbaabbbaabaabbbaabaaabababbabbbabbbbaabab
+babbabbbbabbaaaabaabababababaaaaabbabbbbaaabbbbabbbbbaabaaabbaaaabbabbbababbbbbaaaabaaaa
+abababbababbaaabbaabaaababaabaaaaababbaaaaabaababbabbaa
+aaaaabaaaabbabaaabbabaaaabbababbbbbaabaaabaaaababbabbbbbbbbbbabbbbbaabbabbbbbabbaaabbbbbaaabbaaaabbaa
+bbbabbabbbaabaabaaaabaaabbabbbabbbabbbabaababaaaaabbbb
+aabbbaabbaabaabbaaaaaa
+aabaabbabaaaaaaababaaabaaababababaaabaabbbbbbaabbbabaababbababababaabaaabbababaaabba
+bbaabbabbbbbbbabbbbbbaaababbaaaabbabbbbaaabaaaaabbbaaababaabaabbaa
+babaabbbaabbb
+bbbabbaaabbaaaabaabbaababaabbaabbbbbabaaa
+bbababaaabbbaabbabaaaababbbbbbbbbababbbaabaaabbaaabaabbaaaabaaabaaaaa
+babbaaaabbbabbbabbbbbabaabbabaababbbbbba
+babbaabaaabbaabbbabbbaaababbababbbbb
+aabaaababbbbaabaaaaaaaabbbbaaaaabb
+aaabbaabaabaabbbbbbaabbbbbbabbbbbbbbbbaabbaabbaaaabbbaaaaabbbabbabbab
+baabbbbbbbaabaaabbbbbbbbaabbaaabbbbaabbbbaaaaa
+aabbbbaaaabaaabbbabbabbaaaaaabaabbbabbabbaabaa
+bbababbbbbbabbabbabaabbbbabaaaabbbaababaaaababbaaabbbaababababaabaaaabaabaabbaabaabaaaabaaabbbbbabbab
+babaaabbaaababaaaaabbabbbabaabbbbabbabbaaabb
+abaabababababaaabbaaaabaaaabaaaababaabbbaaaabbbabaabaa
+baaabbabbabaaaaabbbaabbbaaabbaababbabbabbbbbbaabbaaaaaaaabbabbabbabaababaaabbbbbaabaab
+baabbbabaaabbaabbbb
+babaaaabbaaaaaabaaaaabbaababbbaabaaaabaabbbbbababbbabbaabaaaabbaaaaaaaaaaaabbaabab
+bbbbababaaaaaabbbbabaabbbabaaaaaabbabaaaaaaabaababababaaaabbbabbbbbbabaabaababbbaaab
+bbbbabbabbaabbbabbbbbaababaaabbaabbbbaababbaaababaabbabbababaabbbbaabbaaba
+bbabaaabbabaabbaaabbbbabbbabbabababbaabbaabbabbbaababaaaabbbabbaabaaaabbabababaaabbbabbababbbbbbabababa
+abbabaaaabaabaabbbaabbbbbababbabbaaaabaabaaaaaabbabbaaba
+baaaaabababbbabaaabaababbbbbbbababbaaabbbbbbbbaabaababbaabaabaaababbbbabbababbaaaaabbabaaababbab
+abbbababaaaaaaabaaab
+abaaabababbbbaaaaabaabaaaabbababbbbaababbabababbb
+baabbbaabbbabbbbabbbbaabaabbbaaaaaaaab
+35 24
+baaacbaababbbcbcaaccacabbbcaccacbbabcabcccbbccaabcaabaaabcbabbacccaabbbabbbbcbaaaacacccbcacacbabaaaca
+bcbbabcbcca
+aaabcabccabbabccbaaaabbccccbcabcaabcacccbbccaaaccbbbbccababaacbcbccacbcacbaacccbcaacaaacbbabcabbabbcbaca
+bcbbbaacacaaabbcbaaaabbabbbbaaacbbbabbbbacbaabaccccccbcacbbaaaaacaccacaabaccc
+ababbaaccbbaabbaccabbbcbbabacbcbcbcaccbcbbcaaacbbabacbacaacabbacccacaccbcbccccaabcbacbb
+babbbbbcbbaccaccccaaabacccccbbbcccbcabc
+bcbbacbcacbbbcbbcbcbaccacbcbbacbbcbbbcbcacbabbaa
+bbaaacbabacabbbcbbcbaccaaaabcabacaabaaacbbbaababbbbbccbabccbaccacbacaacaacbbaa
+abcccabccbbcaaccaabacccaabcccaabacc
+ccccbccbbbbaacbccaabcbcaabbacaaaaabbacbbcbababcbcabcacababbaaacbaabcabccccc
+baccbababaabbbabcabccbacbbbabcbbcbababbbaaacabbbbbbbacccacaacaababcacbaaabacacbbaacabaaaccbccbaababbbcbca
+aabaaaccabaaccaacbbabbbaba
+cbcabccbbbbabbabccaaccbcaabcccbcbabbbcaac
+bcabccccaacbacccacaccbcbbcaabaaaaaacbcccacbabbccbcbbcabbaaaaacaaccc
+bababacccaacbcccbabbccaa
+baacbaaacbcbbcbcaaababbccabbcabbaccbaabb
+bcbbcbaccbcbccbccbcbacccaaccbacacaaaabcbabbacacbbcacbabbcccbbbbcbababbccaabacbacbbaba
+abccabcccacccaacacbcaacbacbbabbcacbcaaababaccbcbcabcabbababbbbbcbbaabccaacaac
+babbbcbbaccacccbaacaabcccacabbacabcacabbabbbbbacaccccabbccbccabbbbcacaccabccaabcbccc
+aabaacccbccbabaabc
+cbaaccbbbbabbabaaaabccabbabacababcaabcbabbbbbccbcbbaabcabbccbbaaccccaccaaaaaccabcbbbabacbc
+aabcaacacaaabaaa
+cccaaaabbabcbccabacbcaaabbaaccbaaacacacaabccbcccbbbb
+cccaaacccababccaccabbababccacaacabaccbbabbcbcac
+bbaacabbbcccbcbbbccaccabcaabbcabcbbbacbabaaacbbbcbbcacbacbbabbaaacbacbcbaaabcbccabbbbbbcacbcca
+bbaccccbbaaccccbabb
+bcbccabbbcbaccbcbbbcbabbcbbacbbacaaacbbccaccbcbacacccabcccaccccabbacabbbaaabacbabcbaabbaaabbaaccba
+bcbcacacabbccacccbccbabbababacccabbcabccaabbaababbaccabcababcaccaabbbcaacaacbcbbccaabcababccabbbc
+aacbaccbacabccbacca
+abacaaaacbaaaaabcbacbca
+accbacccccbcccccaacbbabcccbccacaababcababccbcabccbacccacaabcbabababbbbcbcbbcccabbcaaccabaabbabcabccacaaacc
+ccbaaacabbbaabcabccccaacbcccacbbcabacacaaabcccbcabbaaaccacbbab
+acbbbbabaccbbabcbcabbabbbbabbaacbaabbbbcaccccbbaacc
+cccabbaaacacbcaabcbcccabcaaaabaababa
+accabcacaabacbaaba
+50 30
+cdbddbddcdcacadcdacdbcbbbbcadcaacbbddaaacdbdaadbbacdbdbabccaddcbbb
+cbccbacbabdbbccbcbdacaadccacbdcbcbbcdcabbbadbbabcc
+adabbbdacdbdacdaaccdcdadabddabaacdbdacabbbcdaddbacacaaacbabacabcaabcaacabbcdbbdb
+bacbdccdbadaadadcccdccadbbdddadabbcdaabdaaac
+accaadbdabbbcdcabdcacbccaddbbdcaaaddbacccdbacacc
+adacbccbdadddabd
+dcddddacbdacdcaccadabcbbcbabcdbdadccdcabcaa
+addaccbdaacadcddbbcddacbddabcaaadabcbdcbabbadcadbbadddacadababadddcccbacbacddccaacdd
+dbaabbbacbaddbcdcaadbabacbacdadadaacddddabcbcdbdacdbccbdbcbbcaabbacdccba
+abdacdddddacbdaccbbacbaabcdcbd
+ccbccdbbccabbdbddabcbdcdbabdbab
+bbbbddcbbddddbccbcdacddacdadacbccaccdcdaadcccbbbbccadcdacaadbdabdbcdaadabbcadcbda
+cabddcccbcdbbbdddabdddddcbccbacdabbdabaacddcdcdbacbcabbbdcccccc
+accdcacccbbbcaaaccabdccdcabddbdacddddd
+dbbdbddddadccbacdccaaccdabccccadddadcabdacaabbacabb
+bcbbcbbaccbbbadbddbcbdbddbdccdadcbccdcbdcdaabddbdcbddbbbaaaaddbdcaacabbbbccbabadcbbacbcaccbcdacd
+babaaadaddadcdabcbcbaacbbdcbbacadacbdadbdbabcccccdcbadaaaada
+adcadacbaaabcbbaacbaacc
+badaacccaddcdcbcbabaaacbada
+bdbbababddadbdaccbddacadaaabbddadbabcbdabcadbdddacbddacaa
+cbabacbbbbaccbababbdbccddbdacdcdcbdabdcccdccdacabdaadbcbacabdabaaacbcaaba
+baadaaadbdadbdbbabbcdcadbdcbbabddbdabdcbaabbabccaaabccdbbdbdbaaabdcabdcadccabdcacbdadb
+abbcaabcaccdcdbaccdcdccacbbbcacdcccabdacdabdaca
+ccbaaabcabdaddbdbaaddcdbaacaabbbbaaaabaacabdcdcaacdacbcdabccabdbaaaacccbadddccdaadaddbabbbdadcddabdabd
+bbbbbdaacacbd
+adcabcbccdbbccbbbdcbdadcddbaababcccbbd
+dababbccccdcdacacdadabbdbcbaabdabdcdabbbbdcdcccabdcbbbdddbdacadddccabacdca
+aacabccbcdcddacdcabbaddacaacbdcaddbcbcda
+cadabddcabddcdacdaabbc
+dbcdbdabbdcdcdcdcabbadbdbaaddbaadbdbab
+cdbcdadabdbccdaaacdcacccbbdcdbdaacacddcbaabbddaadacbcccbbddbbabbbaccbbbcdcadcaabdabbad
+ababcabdddadadbbbcadbbcbccdbbbcddddbbabcdbabbccaaaddacdbddacbcbbacbdbaaccaddbbabcbabadabdbaacbabbddbacacc
+bacbcacbadcdbbaaddcbabcdacabdbcddabcbaaccbbdbbbdaddaa
+acbdcaddadabaccbccababcbddcdcabdaddabbbcddcbcccddbccabddbbaddbadbdaaabadcaadbbdadccccccadcdcacbdccdbabb
+daabadaccbdbdabddadbbcccdcbaddb
+bacbcacbcdbccdbcaaadbdadbcacdaddcdbbdadabbccb
+bddadcadbbbcbacabbbcdbadcdadccadddcadbdbdaccccbbaacdba
+bcdcacddbcbcbddbcabdcccabdbabbbaccdd
+bcabadbbbacddccaaaccaccdacddaaabcdbaabcaddbaacccdabdcacdadabaccbbcbcabcdbccabaddbbdbbbada
+bdcacbdcacbbcbbdcbcdbcaccaddbaadadabbbdcaabcaabbbcdcdabdcabdddcbacbcdaadbcccc
+abacbdcdaadaccbadacdcdbaab
+bbdbdacccddbbdbbbccadcdbadcbdbbadbadadac
+ddccbddadadaacbdcabcadddaccbacdaadcadcccbbcbaaaab
+ababaacdbadcddadacbdac
+adbcdcdacadcdcbcadacaaa
+dccbbcdbbddadcdddbdadbcdbcbbadcacbdabcbabbdbabadacdabddccbadbdbdcdacabbabbbacbbcbbdadaaddacabd
+cadcdcacabcababca
+dbbadaacdbaaaddcdcdacbbcbbaadbbccbccbdddbccbcaaddbcaacbbdccccabdd
+bdcccacabbacadbdbdccacddacbcbabcdacbdbabdacabbaabdbbcac
+bbbaabbcdbcddddadadccbdac
+175 131
+cdbcbabddabbabcbaccdcc
+aaabddbddabbcdabbcabccbaacbccbcbbdabadc
+bacabaacadccddbccbccaddbadccddcddbbaddddcbdacccdddcddcdadbccdcdccbc
+adcacddcddbbdccbddabdabbdbabdaabcccddaaabadcbacdccdaccddadbdabacdabda
+bcbbcbcadbaabdcbababdbcdcddcdbcaccddcaadcaabaaadaccdcbcdadbacabdacadbbcbaadaddbbb
+dbccadcdbdbcabdcababcbcdbaddcbccdaabb
+bbddbddacdabbaabdcdaddacdbccbdaacbaaddcaddddddddddddcbdaa
+ccdbbdacddccddaabaaaadbacbbabbcddcacddbadccbbcdbadabbbcdbcadddddcddbabaccadbadaadabaabaccdccadbdbab
+baabdabcadcbddcbbccaccdabdbdbddabbabbbbcacbcbbbbddbacbccaddcbcdabacaccbcbbcdddbdcb
+bacccbdbcdbaabadacaaaaabb
+dabddbddbbbadbcbadccbbcddddddacadbddbbbcccbccddaadadbbdbcbbacabbbcbbdacdddbbbadcbbacccbdccdc
+ccbadcddbcabaaccadabbcaddcacbdcbcddaacbdddcabbababaabdbda
+dacccabaaabcdbbcbccbbabdaccabdaddcbaccbbdcada
+abbcddccacdbcbbadcdddbaacbbbcbcacacddcbcbcdcdcbbcaabbdbc
+ddddccbccaadcacabacccadaddcadd
+daddcbbacdaabcbcbbcbadbdcbdbcbcbacbad
+badacbbcdbdaddaabbadbdbcadbdc
+bbcaaccdcabacccddadcdcccbddbdadcdadaababccdbcbcbcddcacbaacabcaabdc
+cdabdadcaccccddddadcdbcbbadbcdbacaccadbaaabcbbddacbcdcabbbdcbcdaaccadbcdadaa
+dbccdbcaddcbdbdbdcbcbddcacddcccdbdada
+acddcaadbddbcabdaadbabcddccccdaaabc
+babdadccabadbaaaadbbabaabbbccac
+aacbacbadddbdcadbdacccdacddbdbcddbddccdbacbabcccaaabbbbcbcddbdbaabdbddbcabaadbbbabbbaaacdaaacadbcdacddc
+cbbabbbcaaabb
+dadabdbaabdbcbcbdabacddddbbcbcaacbccaacbcbcddccababadaddbbdccbcbaccdccdc
+cddadccdbadccadadcdcbbcaddcbbbbbcddbdaaacdbcbabbbcacdcdacbcdcadcbccdbbcbcadbadacbabbaaaccbbddb
+bbdbbbbabcaddaabbbcbccdccdcbdcdacbabd
+dbddcddacdaacdcaccbabcbcbcbaaacabcdbca
+acabbacddacb
+adcababaccaaadbdbbacbabdccccdabbcdadababdbadaadbacdbbbcaddcbcabadbbaaaaacdaabadcbbddcddabbcabddc
+daccdabaadcbacbcacaaaaacdbcddcbbabbabbdb
+abdcacdadaacacbaaccbbcaaabaabacaabcaadbbaaaacdcadcbbddbdcddcacda
+dcaadcbdacbdddbccbbcddadcdbdcbdbdbdacbcdddd
+dccbacabadcdbacbacddabbaadacbccbadcddcaaccbddbaacbddadaddbbabaababbacbaadabddabcacccbaccccbdbaadb
+acbcacabbcbacaddbabaddddbcabcbaabdabbdc
+acdccaabccbaccaaabcdbbdadaddabdddacbcdadaacdbcdbbacadddcdacaddbcdbacdbccccddbadabcddcdaacabcdbacdcdad
+bddbaaaacdabcdabcbdabaddabbbccabbccdcccadddbdaccdacbc
+abbdbccaaadcadbcadcbcddbcbbbddcacbcaacbaadcbdabdacdbadbabababdaddcbbbcaadbbcadcbbb
+ccbaababbbabcbcacbd
+ddbbccccacdbadabcccdcaabadccdcdcd
+ddbbadbadbbcdababbaddbaacacdacddcdcbaddcdadacabacaaaabccadadbcadddbaaa
+bccdbcaabc
+bbdbdcabcdcddca
+cdcdcabcdacadabbabdcdbacdabcabcb
+acaaccddbabacdbdbcccadaabdcbdabbcacdaccccadadacdacabdcbaddacbcdcdcbdddaccdddbcaabdbcdb
+aaabddcaddacabd
+abcacaadcbddbaaaacbddbadacbaaabbdcdbbacbbbaddddcdacdbaacabddcbacdcdacbaccbb
+daaacdadacddcaabbbcdbaabbdcdddcacbbcbdbdabaacbabdcccbaabca
+bbbcbadaccbdbaccaccdcadaddcaabccdbbddccdcdbacdacdbcbbcdacdcacaadccddcaddabbcaddcbcddc
+baabdabdccabdabcbcac
+abbbbbdbadbcdcbddcccaadbbacdcbdcbbbbbabddcbbccadccccdadbdbcababdbbdaccabc
+bacaaaddaaabacbdd
+ccddacbdabdbbcdabadccadbbb
+cdbbbdaaabadbcaaabcabddbc
+baddacbcbbabacabbcbcbccdbbabdcdbabddadcacddbcccabdddabbaabadcbaabababdabdaabbcbaadcadddbbdacaccdabbcbac
+dbabdcaadaccbabaadccdbcacacbdccddccbcbbbacbbbddadccadddcbdbaadaabdbbaabdacacacacabcbdbdabdaaccbccacbcbccda
+cbabcbdbaddaaccaddccbcccacbad
+dcdabbdaaddacbbcdabccababcaadcbbdadadbbcbcddccaddacbddbdbdabadcabbbacadcbccdbddbadddaababccba
+cadabbbcaaddbcdbbdccccdbddbcbbddbdadbbbbdcacdbbbbccbdabbdbcbdbdaccbaccb
+dbbdbdaababcbabbddbcdbaddbdbcadcdcbdcdcdacacacabcabcbcabbaacaaaddcbcabcdcdc
+cdcdddbddcdaddbacadacdbaacbbcdddaaadbbb
+cacadddbcbdcacddbdddbdbccddbcbabdaaddbbcbacbcabcdadbdbadd
+daadbaccabbacababbbaccdacaaadcbbddddcccbbdadccbbbcddcaccdaadcccca
+daadcddbbabccddaadadacdaddccdbcbcdccbbdcbcacdcbddbbbcababbcbcadbcaadbdadcbaccbbddbbabbbddbcdcbdbc
+acdccbdabacbbccbbabcaaacbbbcbdbddbdabadcaaabcdacacddaabddbcadcdbdccccdbdbadccc
+cabccbdaadadcbbdccdcadcdbccaadcbacdcbdbaadcbbdcbadaddbadcbccadbcbcabcccbbadabdcaabdc
+bcadccacabdabddaaacadcd
+dacdbadcdbddccbdcadcdddbcadadccbbdcdaabaddadccabcbaaabadaabaaadaccdbdaccc
+badcdbdbadbdcdddabbbaddbddabcbbcbbccbacabdc
+dbccacadcdacacacbaabdcacbdccdbddcaddcbbcbcdaadacdcadbccadddbcddbadcaadabcdbbcbdcdbbbcadbdbb
+dbcbaadbabdabbcdbccdbaadabaaddcadaaabbcadddcccccadabdddabbaac
+cbacbdbbadddcbcccadcddcabcdccdcbbdadcbcaabadccbcab
+bccdbddaadbcaadbcaddcaddbacbbbabadddbccddcdbbccaacdccccbcbbbabbdadbbadaadcbaaccdabaddbddccacaaaabdccaabbdadc
+dadbdccbcdbddcdccaabbcbbdcacdddccdaaaccddcbcccadd
+dddbadacbcdbc
+dbdcaadddbcacdbdbaddabccabbcacbd
+bbbddcadbccdddadcbbcabdabacacacadabdbdaaddccbbbdddaadbdccdad
+cddbcbddddacbccacbccabacbbdcdcabaaadbbabcacbabbbdcc
+cacdcbcadbbcbddbcbcbcaaccbbaacbbcdddcadabdbabbddaabbdbaba
+babbddccbaadcccbadddbbdcbcdcbbcdabdcdbbaccbcaaccb
+baacdcbadabbaacacaaacabddbcabcddbadcabbbcdadcdcadbdbccb
+bbabdcadcbddbb
+aadbacbccdbbccbcdbaaaccabdbcabccaaccaabadbabaaabdddcbddddcbdaca
+ccbaccbbbaacccdcddaa
+caabbdcaacadbabdbaacbaacdadbac
+dddbdcdaababaabbdccbbaaadaabbbacdacdadcdddcbaabacbcabadacacdbbbbbb
+bcacbacadabcbccccdcbadcbdabacdccccbcadccbddadadbcdcdcdcddcdabbaaaddaacdcbdccbcaddbcbaca
+cdbdbbdbddcacabaabdccbddcbcdaab
+dbaccaabacdbcccdbcbbadaddbbadcbbbddbdddda
+dbdcdcdacdddcabbccacabaacbddbaadaadcabcacaabdcbccaadcdddabcdbdccdaccccddbcbcabacadbaacacbccbddaacaddcbbddd
+cbcdbacaaacbccbcddaabdcbbbcdcadcbbdddacdccdbbaddbcbaca
+cabdaaadbbbaddadcbdcaaabaadcccabadbaaaaaaaacbdacddbbcadacbdadacdcdbacba
+cdcbbaacccddbdaaaabdaddabcacabccdabaabddddacadbdabdda
+ddcddbbcabcadbaabdada
+bbacbdcbcbccddcadcbbbcddcbdcbabbdccabacabbcccacbabdabdddbbcbbdda
+daddcbadabccbbcadbcaccaacddbbcccdbcbaaddbadbddcaaaacbadcaddadbbaddbdcbadabbccbdcdabbaabcdddbab
+adadaaadcdb
+cdbbcbbddbadbadbcdbabddbcdaacdbdababbcabacacbbbadbbcabaadcacbdadacccabdcdbacada
+bccababdbcabadbaccbccbdbcdbaabbdbbdbbbbdacbaddadcdaccadabadabacbabdcdcbbccaddaabddddaabcccddcaaabaccad
+bdabdcdddccaaddbcabddaccaddcdcaacdaccbbdbbadabbadcccdbabcaadcabbacaccacaaabdbdcadadbdccbcdaac
+bacdadbadcbabccdcbbdddbacbabdbdadcddcddddaabbdcbdddbabdccbaddaaabdbcbabaadbbdcccdacbdcb
+cdadcbccaaabadbdadbdccdcdbcbcba
+aadbaacbdcdccbdddbbadcddbabbddbbccd
+babdbcaccacabbdcaacbadbbcdacadcdbca
+cadcddacaaddabdcbccdddadaccababdacdcbccbababca
+aaabddcabddddbaadcc
+dcbbddaaccabd
+dbcacbbadccbdaaabcbabbcbbbbddcbbdbaaddbbadbbccbbddcbbacacdbccdadcbccdbcdcabbacccacbcbd
+dadbadbdbbcaabccccaadbcbbccdcbaacacacaadccbbddbaa
+dbadbbbdbdabbbbbaaac
+abdbacbbbdaababddcacbdadacbcbdbbacdacb
+ccbcbcdcdcdbcabcdddcabbdcbddcabbbaccbcbaabbadcdabdbbbbbbbcdabdbbdaacaccddaddadab
+ddcccbbaadaddcbccbddbbcddcdddbddadaaaaadcbdacccdacdaaddbddccacdddcddcbddbbbdadcadcd
+bdabcaaacaccdcbbcbcdaabccdddcbbddbcabbcbababaadcdaddbaccbdcbcbbacbbddcdcccbdbbcadcaadbdbddacacabbcabacabcbdbc
+adbcdbdbbcdccddcbdabbbadcbcdacacdcccacdbdadccbadbababccddaddcbbbbdb
+bccadcdccccbbadbbbddcccbadbbbbcbbdbbabbdbbbdcb
+bbcddcbcadbbdcbdbbadcdcbbcabaacdbbddcadbbba
+bccaaaccdcaadbaadcccccdccddcbad
+aaaccddadcbdbbbdcbbadaccbacdacbdddbadddcdbdcaadbacadcbcbcadccdbdcadbdacaaabccadbacabbaabdaccbabbcabdcbd
+cccacbbcbcbccdbacaaddcadaadacdddccdbbdcababdcdccaccaccdbabbcddacdbdadcabaabbdcbddbddccaacadcbbdd
+cbaccdbddababdcbaccbbc
+adbabbaccbbcbbbbadccadbacbcbbdbbbdaccbcdcbadcddbddbccbcdbcdcaccabdcaabdbbcacbaddbbcdabbabadbdcdd
+dcbddcacaaccaadbcddbccdddbcaacaacdbacbddaaabbdadbaabbcdbdcddbacacdbaabbccbbccdddddbabbadbcbd
+ddadbaacddcbcadbbdaacabbaaabcbdcaddbcaacddccdbcaacbbbcaccdacbacbabcccaddbdccdbc
+bcdcbcaaaabacdcdcbbddbadbddccbbbdacdacddcbdaccbdddaabbacabbbdabbbcdcabcdcccbbbdccdcd
+aaaaadcccdcddabcdaccbdbcadadcdddbcaadc
+cddcbcbcccaadacbdbbcdcdabcccbddcdabacbbdadcdcaaababcdbdbbcccbddcbdbbddabbcabb
+cdaadddaddadbdcdbbccdaccbcdbbaccadbcddbdaadcddcdcbdbacacdc
+baabbdccbccbcdacbdcdccbcddbdbdacababbcaddbddaaadbbacba
+cadbbdadbccccbacddaabddddccacbcabcbadbbcbabbdcadaabbdbbcacbddbbcddbccddacacccddcbc
+ccadbccabdcdcbbabddaadabcdabdaddbdcddbddbaccdcbcccacdbadbabbdcddddddbadabddadccbbbcacacdbdbababacbda
+cbdaddadaabccadcaadadcaaaabdbbbdcbadabac
+dccabdacaccddccbcbcbcbadbcabccdababacaabaacbbbcdccdcdbcdddcaaadbaacdcadbbdcdbdac
+aabaccabcdaaddaabacccbaccacdacdcbb
+dbdcabbdaccccccddccdbcbabcbbdacbbbdadccdadcacbaaabcabcddbbccdbbbbcacaccdbbbbdbaacbccbcbdccdcbbddaabc
+acadbdadcdabbbbcccdbbbcaabdddcaadddccc
+bbbacbbddcccdbcbaccbdadacdaadcdddaaccccbddccbabdacbdbbbbbcaadabbccaabadccacdaccdaacaccbcbdbbbcdbabddbcdccddbb
+aadbabaabbcbddddcabdaddaaccddacdbdbacdcaaaacbdadbcddbbbbddddadcbadccaadcddabbbdcdccbbda
+dbcbadadaabbadcdcbabbdbcccabbbadbdcbdaaaaabcacabbcddbccccdadacbabbdaadaabccdadbdacdabcdcbcacaccaaccddadbbab
+cbbdcddcddddadddddbddddcaabbdadbbbababaaaaacdcdbdaabdadcddddcaaacbbaacbbbdccadbdaadcbbbabbdbcd
+abadbbcbdbdbcbccbbdbdcccbadcbdd
+dcccbaadacbdcadadcdbccacbcacaaccadaaddcccadabcdaaddccdbaddbabbccdbabdbada
+cdaaddbcdbdabcaaabbccdaddabadabadcdbdcccbabdacbcccdacabbcbaadacbadaaccdcadcbbabdbbdbdabcbba
+bcaccddabddcccbcddcbacdddcbbadbddcdbdcbccdacdadbdbabacdbcbcbcbddacbadcbbabcd
+bcadbdadccbcdacadddbdbcb
+ddbbbdbadbdaadddbbddaacdcaabbc
+dccbbaadcdadbbdcdcacabadbaabcbcadbdbbbdbbdccca
+aaddcccbadcddcddbabdbdcddcdcaddacbdbaaaaabbcaccadbdccaaadcc
+aabdcbbbaacacdcabbbddccdddbbdacaddccccacc
+acbabddbddaccbaabbbcdcaddcbdccbdbbbadaaababbacbbcccbcbacdabbba
+caadccadccadddacbcacbbaadbbacbabdcbccddccaadadaabcbcddbadccdadacbcbabbdadbbaddcdcbbadbabcaaabbcdaadabddab
+dcaccdbccbabadccabcbbaacbbdccdccdadacbbbdbcadc
+adaacdaaddbbbcbcdbdacccadbcccacacdacacdabccadabccc
+bacbcbbdcadbdacbbddbdcabacdbdcbccadbcabadbabbdaabbbccbadabccddacbbaccdcadadbbccddbacdaaaabcdaccdcba
+ccbcccbbdadcdbaaccbcbba
+cadbdccabcabcacaddacddabcbadccbccbacbaacacdcdabcbcbadcbcbabcabbdabcaadaca
+dcaaaccbdaaaabdadddddbdabcabdddbbdbbbcdabcddaacbacadcaabccbbdaacdbdddccdbcddcdbdaaccddbcddccac
+dccaaabaacdddbddadbcccaaaaddcbaddabacdadbdcddcbcdddcbdadcadbbabacbbcddbc
+bbabcdabbaccbd
+abcddcbcaccbabaadddaadcaccdccdcbabddabdacaadbacdccaccdbbacacacdbcdaadcadaaadcbccabdcbdbcaccdbacbd
+bdbcbabcdadcdababdbcbcdc
+adbcbabaaacccbcdddcdbaabdabcccdaaabcadcddacabcbbbaccacadabbdbacca
+cabcbddbbabababacddabbcacbacbbdbaaacaaccbadabdbccabadbbcaacbdbbbdacbcdcbbdcbddaaaacbcd
+caadcdabddabaccadaddccbdcdbcdcabaabbdcdccbc
+bacaadbbdabdaaaaddccdadbccacbcdbabbdaddacbcbadcbbabbdaddbbcbccbadbaba
+dcbbbacadbdbadacadb
+accadddabacbabbbbbaadbbccdadacbbdbdbbbdbadacacacbdbddaabcbbbdadcb
+cddbadabdaabcdbbccccbccacabbbcbcda
+cbdacdcaddcccbbddabdbbcdcbacacbccaabaadadcaddbadbdccbcaacccdca
+ddaacaadbcbaababaccbcacbaadabbbddc
+cbabbabbccbcddaacdddcadccbdadabadbabdbabaadcdacaaccacddadccd
+cbdddacdcccddbabcbdbbcdadcdccbbcbbcdbdaaacbbbadbaadaccbbaddaa
+ddbcdbdcddacacacbcdcbacabcabcdcb
+cccdcdbccdbcabdacddabbbaadbbaabaddbcbbdabdcbadbccdbcacbbdacbbdabdadcbdbbadadcadbcdbdaacaaddddcdcaacddcdbbab
+bdcabcaaacbcbddabcbcdbdaadccbaacadadcbaacacbaadabddaccacabdbbbabadaddaacbabcdcdbadcadbccadcada
+10 7
+aadcccddabcbdacacaaabddadccadbcddbdc
+cbbcddbacddabbaacbadacadacdbbaadadbcbbbcabadcddcdbbbdcbddcacccdbadaabcddcdcddca
+bccbacbbcacaabaaaabacacdccdadccbadddcdbdccdabbccbcdb
+addcbdaaad
+cbbdbacdcccabbdbdadcaab
+dcabbacbadabacabaabdabbcbdbddcacbdcdcddabbcababacddcbaacbabacacbccbaabddadbbdba
+adbbdadaddccbdbdbdcd
+accaccaddccbcaabccbcccacdabbbcccaddbcbcacaddaacacadbdcbadbcdcccbbdadddbcabccbdddabdbcda
+badbabbcbabcbcbccbddcdbcadcdcaacaaadaadbdabaadcddabbaccaddbcabdcacddccbcbcbacddbcabaabdcdbddbcbbb
+bcbcdbaabccabcbabcbbbaddcbadbbdcbddababbdddacaacaddccabbcabccdcdcdcbadadddbaa
+93 54
+bcabcbcdaacdddadbdccbaddcdbdacbdacdbcdbaacbbbdaccaaddccbaddbcdabdcddbaccabbacbdacd
+abbbabdddcbaabbbaadbddcaacbcdcccbbdabddabdcababacccbaadcbdcdbacbabaaabcbdcad
+daaabbccbccdddcaccdacdcadccddaaabbbbcbcabadbdcdaacddcdbddbbdcccadbaccbadaddabbcbdddcbdccc
+dcadbbdacdcadadbc
+abdacdabcdccaaadacbac
+addddbaddabbbdbcccdaddbbbcccabdcdbabdcacadbaccacbccc
+adbcddbccbcbdbdddadacdbddbddbcbaccddbbbdddcdddbdbabcbccbcabcbcba
+acbcaaadbdbaadaccbbc
+cdcadccbdabdcbbacc
+dbcddcbdbadabacddbaacbcbbcccbacbddaddbcadaaacbccbccddcbbcdaaaaccaacdddbcacaaaccabbacdbbbcabccbcdbbacdb
+cccacabdccabcdcbdcbbbddddccaddadddcacbcadcacdabdcaaadbbbbaacccbdabadb
+dddabcbcbadacadbcbcbcccadbcbbaaabddbbabcccabacacabacbadacddaadbdbdabdccddaccbddacbacaddacaaabaccdbddab
+abbaccacabdbaccbbacbcdcbbdccdcdaadddcacaaddccdbadddddaacccdbbcabacccddaaaacccddbddb
+caabbbbdbabdbdadbcdacacbbaadcbbccadadbacbcbbdbd
+abcadadaccbc
+cbbbdbcadccbabcbdcbcdbbdccaccddaccccddaaaadcbddbbcbbaddcdadacca
+acabaacdccbaabccaaadcdbdbcccdbdcadaccbdcbabbbcb
+aaddacbccbbaabcdddbbdbbcccabdacaddbdacd
+bcbababcdacaaddcbaabbddcddcaabbacabadbcdacadabaccadabaccdbbbcbaacadaaadbdddccdbdcdbadcbddabbda
+cbbcccbbcbcccbadbdbabbaaaccabcdadbcbccaddbdadcddcaaacbbbabacbacabcbbcbbdabbcdc
+bddccabbbdaddabcdbddaaabdadbdcbdaabdbaadcccbdadbcadcbaccbcdccddbbcaabcac
+cbcdadbcbcadcbbaadbabdbbdbbbd
+baccbadcbbdaababbcabdcd
+abaadcdbabdbdbaabacacaaaaddccbddcabdaaabcaaccddcbd
+dbcdcddcbdaaabadcbcbcddddbccddbcbddcdddcdacccbdbbcabddcabdbadbdbcdbddcdcabdccdccaa
+dccbabcadaacaaacdcdaccdbccdccaabdbddcddbacdadbaadadadc
+bbacbdcbbcbddcdcdaacbbbabdcacc
+cbdbbccdcaaacaaabacdcbbdccdcadbbdbbcbcdccbd
+bdddaaadcdbdcdcabcddcbcbdbcbcaacdccabdacbcdacadabacaadcbbcabbadbbdac
+caabdacdbcbdccdbbdacbaabcdbbbcbbcddcacccabadccaddbdbaba
+ddccdbacdccadabacabcaaadcaddaccbacdacbaacdcccbdcbcc
+dcbdbaaadadbbadcabddcadccdabbdcbdac
+cbabbabcdaaabdaacbdbacdaabbaddaaa
+ccddcccabdddbbdcacbddbbcaadcbbb
+bbbaaabdbcbcabbdaadaaaccdbdbcadadcaddbaadaacdbcbaab
+dbcdbbabaabcdaacbacdccdbdbaaaabcccacabcbcabbcdcdbbdaca
+cdabdcadbcdcccddab
+bcbbcdbabcdacdcdcccaadbbbcabdbcd
+acbadbddbcabddbbcbbcdcdadbdccccbcbbabbdccccbdabbbdadcdaddbccdbcdcadbbdcbcbdcbcadcbaacbabb
+dbccabccaddccbaaabcda
+aabaccadacdbbbaabddbaaaaccbbbbaddadaadcd
+cddcbcdcbadadadbaacbdabdbdccdcbacdb
+dbadcaacdadbbaddccabbaccaddccbccacccadcdbcdcd
+aaacddaabbdabcbcbcdbdaacbbbab
+ccdccdccbddcddabcaaddaddacabab
+bcdbdbaaddccdadbddcaadbbbcbcadcdbacddcddbac
+bdacadabcdbbdbbbabdccacadccbbacbdbacbdcadadaddcb
+acbbabccbdcdcbaaccabacbcadbdccacddadabdcacccbcddccdcddcdc
+badbaddcdbbabaccbbacbbdacadcaacbadbcabdca
+cbacdcdcdabbdaccacccdaaacadbddccbbcbaaacadbdadbdadaabcdcadadacaacc
+ccaddcdaaabbbbbdcbddacccdcadabacbbb
+bddbacdbaacabbdcbbadccddacdbccddbbdadbcbddcbacacbcccdddcbdaddcddcbbdddadbbdcbadccacadbbc
+aacdacdbdabcacbbbcbaddddbcbdd
+abacccadcabcddcccbdcdabaabaaabcbdcddccdabacccac
+cdaacabdadabdbbccabddabdcddadabcbbdabcbccdbcaacbaabbdcdbcacabcdddddda
+baccdabbddbdadcdbaacddaadababdccaaacbaabaaadccdbcdaabdddbadbcccbdadadda
+caaadaabbacddcdcbcbcdacbd
+bcccaabdcccdacabbadadcdbbbbcddddbcdabccdacbdbdddadbbabdcada
+dcaadaacbccdcdaadccdbcdc
+ddabbbacababcacdddcbddddaad
+ccdaddddbddccddbabddbaddbccbabcdadaccadaaccabaab
+baabdbdaaadcbdbabaaabaccbcabbbbbccbacbacdcadadaabacbcbdadaaccba
+aaccacbaaaddccbadbcdcdcaaaddbdcabdbbbaabddbccddaabdacadcbbbdbbbbdcaabdd
+cacdccbcaadbdcbbcaacbbaaabbccbaacdcdcabaacabddbacbcccabcacdbc
+ddabaabadcbabacdddcababbdababccdcdadbabdbdbbaababadcaccdacbbdabdadbbbaddaccbcabbaddaddbbdcbcabdcabdddabc
+cbdbdcdcbccadbbdadcdabcbaddbdadbdcddbdabba
+cbbacadbabdbaaadadadcadbaacabacbcdacabcbcacdbbabdbcadbacadcdbb
+cdcdbbcccaddcbbdcacdbdaaaacadbbbbccacccddccdbbdbdbdcabdabbcddbacbb
+ccdacbaabadbbbdcbcbdcbccaadbbcacdadadaacadbbacadbdcddbbadbbdbaaadddbabacbdccddcaaccdccb
+caddacddbdaaacbccccddaabcaacccdaabaaac
+bacbcbaccda
+bccaccbbdccbdbadacbcccbbbdbddddadcdbbadbdcaaaaadbdacacbcdbaadadbdbcbbbabadbccbcaccbdacbdabcbcddbcbb
+bddacdbaccbdbabaacadcccdcbdccbbccacabccaccbddcddbcbadaccddbacddadddabbddabbbdcdcadcaa
+adbbaabbcaadaabbccacaabbccabddaacdbccaabacacaddcdbcdcaddcddadcdcaacddcddcbccaaccdbbacaccdaaacdaaadbbbaacbdb
+dbaddabacdddcdbadbccabddbaadcbcabbacdbaddaaad
+adabddcdddcadabcbdbacbcbdaaabccaadabacacbbdbddabcaacadbacccbcdcadcaaabadcadaccabacdbcdbacccddac
+dadbddacbdbaccabaaadacbabbccaaabcdcacdcacccbbdddcdbbbbaadbbdabacdcaaaadadac
+ccdabbddbccaabcabddcb
+bdaaacbaabddabdcdbadbbcbadbddbdcddddccddbcbaaddabcabadcbadbbcaaabdbcaabbcbbbbcdddbbddbdddcb
+cbdabacdadbcadbadbcbacdbddddabbcdbdbddbbacdbddbbaddcaaabababdabbddabbddbacbcd
+addaadacdbbcabbbababcbcabaddaccacccbbb
+cadabaabcadacadbccbbbdccadccacddcbbdaddaadcbcccacddadccaaabacbddcadbbccddddadadadd
+abdcdcacbacaaddccccdbadadbaadcddabcacc
+bcdabacbaadcabdbbdadacdabbacdbbbbacbccddabdaaccbbaddadbabaddadddccacdcadbcbaaccbdccdcaabbcbabbcdbcdd
+cddbddcbcbdacdbabaaadcbcbbdddbaddcdccaabdabbcabdcabcccdacdbaadddcacdcaabdc
+bdcbbccabccababaaadbbcadaaddcdabdaadddcaabbadbbacadadccbddcdaabbdbbbdbdddacbcbabbbbaabdbadabbbacba
+dbcaddcbcabcabbbadbdbbbddbdccadaacddb
+dccaadcdcddadadbbcbbcbddcacdbddbbcbdcbcacbcadbacbccdcaab
+cccbacbddacccdcadbccccddcdcbaccddacadddcadaccaaacccccbbbbbcaaadacaadaadbbddadbbcbcadbdbcdacaccccdcd
+bcadadddcbdabbaadbacbabcbbdddababcdadbcbbcdccbacbcbdabddbbddddbcc
+adbcddcdbadbccbadcdcca
+acaadbbacaadcacdccbcabaaacabbadbbddc
+adcaacbacdacddadbcccbababaadcdbabaccbbccbbbcdddcbbcaaddaaabdbabacaacbaddaccddcabdaca
+207 136
+bbbabbabaabbbaabbabaabbbbbabbabbaaaaaabbbbbabaaabba
+aaaababaabbbbbaaaaaabbababbbbabbabbaabababbbaaaababbaabbabaabbbbaaabbaaaaababaabaaaabbbaabaabbabbaabaaaa
+aaabbbbabbababbaaabaaabbabbbababbabbbbbbbaabbaabaaaaabbaabaabaababababaaabaaaabbbbbbaabaaaaaa
+aababbbaaababaaabbabbaababbabbabbaabbaaabaaaabbaabbabaababbbbbababaaaabbbb
+bbbababaabababababaabbbbabaaaaaabaabbaaabbabbababaaababbaabbbabbbaabbbbbbbabaaaaaabaababaaabbbababbaaabbaabb
+abbbaabbbaaabbbbaabbbaabbbbaaaababbaabaabaaaaabaabbbaaababbabbbabaabbbaabbaaabbbabaaaababbbbaabaaaaabaabbb
+bbaaabaaaaaaaabbabbb
+abababaabbbaabbaaaaababbabaaaabbbaabbbabaabaaaabaaabaabbbaaaaabbabbbbbaaaabaaabb
+aaabbabaababababbbbaaaaaabbbbbbbabbaabaaabbbbbaaaabbaaabbaababbbbabababbbbbbbabbaaaaabaaaaaaabbbaaabaababaaab
+abbaabbaaaababababbabbbabaabaabbbabbaababaaaaabaabaaaa
+abbbabababbbaababbbbbabaaabbbbbbaabbabbaabbaabababbaabbaabbaabbabbbbbbbabaaaababbbaaabb
+aabaabbaaaabbaabaababaababaaabaabaabbaabbbabbaabbaaabbaababbbbbabbbababaaabbbababbbabbbbbbbbbab
+aaaabbbabaaaaaabbbaaababaabaab
+babbbbabbbabbbbabbaaababaaabbbaababababbabbabaaabbaaaaabbababbbababbbbbba
+abaabbbbab
+bbaaabbabbbbaaaabbbbababbbaaaaaaabbaabaaba
+babababaaabbbaaaaaabbbbababbbaabbbbbabbaaabbbbbabbbabaaabaaaabbaaaaaaa
+bbbaababbbbbbbbbbabaaa
+aabaabbbbbabbbabaabbabbbabaaaababbabaabbbaaabbaaaabbbabaaababaabbaabbbbbbbabaa
+aabbaabbbaaabbababaaaaaabaabaaaaababaaabbbabbbababbaaaabaaaabbabbbb
+aabbaaaabaabbaaabbaabbaaabbb
+baaaabbaabbaaababbaababbaabbabbabaababbbbaaaaaabbaaaabbbbaabbbab
+bbbaaaaabaaaababbabababaaaabaa
+bbbbbbabbaababaaababbbabaaaabbaaaaababbaaaabaaabbabbabbbbaabaaabaababababbabaabbabaabaabababbbaaabbbbbbbaaab
+abbbbbbbababbabbbbbabaabaabbbaabaabbbabbabbbaabbbbbaababaabaaabbabaababbbbaaaabbbabaaabbaabbaaba
+abaaabaaaabaaabbbaaaaabbbbaababababbbabbbaaabbababbaaaabaaabbbabababbabbbbabaababbabaaa
+babaaaaaabbaabbabbbabbbabbbbbabbbaabaaaaaaabbababbbabababbaaaabbabbb
+aaababbbbabbaabaaaabb
+bababbbaaaabaaabaabb
+bbabaabbabbba
+abaaabbaaabbabbbabbaaabbaaaaabbbaabbabbababbababaaababbaababb
+abbbbabbaabaabbaabbabbbbbaabbbbaabaababbbbaaaaaababaaaaaababbaaaababbbaabaaaababbbabaabbbb
+abaababaabaabaaaaabbbbaa
+aabbbbbbabbbbabbbaaabbaabbaabababbbaaaababaaababbbababbaaaaaabbbabababbaabababbbaaababba
+babaababbbbabbaabbbabbaabbabbaabababaababbbababbbbbaa
+aabaaabaaaabbbabbbbaabbaababbbababbbabababababababaaaabbbbbbaabbabaaaabbbaaabbabaabaababaaaabaabbbaaabbabbaa
+abbbbabaabbbbbaaaabbabbabaabaaabaaaababbbabaaabbbbbbbababaabaabaaaababbbbbbbaababbbaa
+abbbabaabbaabbaaaaaabbabbbbbbabbaabababb
+ababbbbaababa
+abbbbabaaab
+babaaaaabaabbbabbbbaaabbabaabbbabaaaaabaaabbaababbabbaabaaaaaababbaabbabbaabbababaabaabaabbaaaaaababb
+bbaabbbbbaababbbbbabbbaaaaababaaabaabaabbaabaababbbbaabbabababbbbbaababaabbbaababaaab
+aaabababababbbbaabbbaaaaaabbaaabbbababbaabaabbbabbababbaabaabbbbabababababbbbaaaaabb
+aababaabaaabbbbbbabaaababbbbaaabbbabbbbbabba
+abbabaaabbababaaabbaabaaaaaabbbbbaabbaabbbbaaaaabaabbabbaaaabbbaaaabbaabbbbaaabbbbbbbaab
+bbabbbaaabbbaaaaabbbaababbbabbabaabaaaa
+babbabbaababaabbaaaabaababaaabbaaaabaabbbbbabbaaaabbaaa
+abbbaabbbbbbabbbaabaababababbababaababaababaababbbbabbabbaaabbbabbaabbbabaaaababbaabbabbabbbbaaabbabbbabba
+aaaaabaaaa
+baaabbbaaaaaaaababbbbabaabbaaabaabbaaaababbbbbbbaaaaaaa
+abaaaabaaaabbbabaabbb
+aaababbbbabbbbbabbbababaaaabaabababababbbbbbbaa
+abbaabbbbbbbbaabaaabbaabaaaababbbbbbbbb
+baaaaaabbabbaabaabaaabbbbbbbbbbbbabaabbbabbbbbaabbbbaaaababbabbaaaaababbbbbbbab
+aaaaabbbbaabbbabbbaaabbaa
+aaababaabb
+baaabababbaabbbaabbaabbaab
+aabbbbaaabbabbababaaabaaabaabb
+aababbaaaaabaabaaaaaabaabbabbbbaaabbbbbabbbaaabbaabaabbaaaabaaabaabbabbaabaaaaaaaabba
+baababbaaabbbaababaabbbbabaabbabbabaaaabbaabb
+abaaabbabbbaaaabbabbabbbbabbaabbaaaaababaaabababbabbbbbaaabbabbbabbabaaabbabbababbbaaaabbababbabababbbababaaa
+baaaababaababbaabbabaaabaabbaabbbabbbaabbbabbbaaabbbbbbabaabaa
+ababbbbabbbaabbabbabbbaaaabbbb
+ababbbbbaabbabbbababaabaabbaaabbaababababaaaaabaaaaabaaaabababbabaaabaabbbaaabaaababaaaabbbbaaaabbbaa
+baaaabbabaabbbbaabbaaaaabbabaabaaaaaaababaaabbaaaabbabbbbbabaaabaababaaaaaabaabaaabababaaabbabbaabb
+bababababbbabbbbbaabbaaaabbbabbbaaababbbbbaaabbaabbabbbaabaaaabaaaabbbabbabbabbbbbbaabbbaabbbaaaaaababb
+bbabaabbbbbbbbaababa
+bbababaababbbabaaabababbaaaaaaabbaabbaabbbabbaaabbabbaaabaabbaabbbb
+bbaaaaabaabaabbbbaaaaababaaabbbabbabaabaabbababbaabbabbaababbbbbbaabaaabbbbbbabbbaababbaa
+bbbaabaabbbbabbaababbabbbbaaa
+bbbbbaababaaaaaabbabbbaabbabbbbbaaaababbaaaaabbabaabbbbaaabbbabaaaa
+bbbaababaabbbbbababbbabaaabbbbaabbabbbbbbbabbbbbaaab
+bbbbbabbbbbbbaaababaaaaabbaabbaababbbb
+baaabababbbbabababbabaababbaaabaabbbbbaaabbaaaaaaabbbabaaabbabbbaabababbaaabbbabbbbbaaabbbbba
+bbbbbbbaabbbababaaaabababababaaabbbaababbaaaabbbbbbbbbbabbbbbbaaaaabaaabbbb
+bbbbbaabbbabbabaaaaaababababbbbbbababbaaabbabbbaabbaaabab
+aabbbbbabbbaabaabbabaaabbabbbbabbaaaabbbaaabaaaabaabbbabbbbababbbaabbbaaaaabbbbaaabbbababb
+baababbbbbabbbaaabaabaaaaaaababaaabaabbaabbaababbab
+aababbbaabbabbaabbaaabbaaaaaabbbbaabaabbaabbababbaabaabababbaabbaaaaabbababbbaaabbbaaabbabbba
+bbaaababbaabbaaabbbbaabbaba
+bbbbaabbbaaaabbabbaabbabaaaaaaabbabbbbabbbbbbaaabaaaaaaabbbaabbbaabababbba
+baaabaaabaaabababbbbbbbaaaaabbabbbabababaabbabababaabaabbaaaaabababaababa
+bbabaaabbaabbaababbaabaabbbbbbbaabaaaaabbabababaaabaabababbabbbbaabaaabbab
+bbbaaaaabaabaaaabbbaaba
+baabbbbaabababaabbabbaabaabbbbaaabbaaaabbbaaaaaaabbaabaa
+aabbbbaaababbaaabbbbaabbabbaabaa
+abbaabbaabbaaaabbaaaabbb
+abaabbbbabbaabaaaabaaabbabab
+abbbaabbabbbbabbbbaaabaaaaabaab
+babababbbabaababbabbbbaabbabaabaababbaababaaaabbbababaaaabababababaaaababaaababb
+aaaaabbbbbbbbabaaaaabbabaaaabababbbaaabbbbaaabaaaabbbaababa
+bbabbbaaabbaabaabbabbaabaaababbbbabbbabbbab
+abbaabbbaaaaa
+ababbbbbaabaaabbbaababbaabbababbaaaababbbaabbbbbaa
+bbbbaaaabaaabababbbbbbbbabbabaaababaabbabbbbbaaabbbaabbbbbbbbbaaabbbbbb
+babaaaababaabba
+bbbbbaaaababaaaababababaabaaaaaabbaaababbabbbabababaabbbaaabababaabbb
+aaababaaabbbbaaaaabbbbbbbababbbbaabbbbaababaabbababaabaaabb
+babbabaababbbbabbbbbbaaabbabbaabbbabbaaaaabaaaabaababbaabbabbabababbbababbabaa
+abaabaabaababaabbaabaabaabbabaaabaabaabbbbbbbabbbbabbbabbababba
+abaabaabaabaaababbbaaaaaaabbaaaaababaabbababbbbaabba
+abaaaabbaababaaaaaabbbbabbbbbbbbbaabb
+aabaabababbbbaaaabbabbbababbababaabbbbbbababbbbbabbbabbaaaabaabbabbaaaabaabbababbbabababaabbb
+bbbbbaabbbbbbbabbaaaaaabbabbaaabaaabbababbababaaaababaab
+bbabaabbbbbbbabaaabbbabbabbabbbbbaababababbbbaaabaabbabbabbbbaabaaaababaaabaababbbaaaabbabaaabbabbabb
+aabbaaaaababbbabbbabaaababbaaaa
+babbaaaababbabbbbaabbababaabbabbbbaabba
+aabbaabaabbaaabaaaabaabbbbbababaaabbaaaabbbaaa
+abbbbaabbabaabaaabbbabbaaaaaababbbaababbb
+baaaaaabbabaababbaaababaaaabbaaaabaaaababaaabaaabbbaaababaaaabaaba
+bbbbbbababababbabbbabbbabbabbbababbaababbaaababaaaabababaabbbbbbbabbbaaaaabbaaaabababbbabaabaaabaaabbbbabaaa
+baaaaabbabaaaaabbbababbbaaabbbababababaaaababbabbbbabbaabaaaab
+baabbbaababaabbbaaaababbbbaaababbbbbbaabababbabaabbabbbbaaabaaaaabbaaababbbbbaababbbaaababbbbb
+bbaaabababaabbbbbbbbbbababbaaababaabbaaaaababaaaababaabbabaaabbaabaabbaabbaaabbbbbbbbbaabbbaaaaabaababbbab
+aabaabaaababbbababbaabbbbabbbbbbabbaaaabaababaaabaabbbaaaabbabaaabbbaabbbabababbbaabaabaababbabbbbababaabb
+aababbabbaaababbaabbabbbabaaabaabaaaabababbbbaaabbbbaaaaabbbbaababbaabababbbbaaaaabaaaabbabbbaaaabaab
+babaaaabbaababaabbbabbaababbaaabaabbaabaababaabbabbaabababababbaababbbabbbbbabababbbabbbbbaababbababb
+bbbbbbaaababbaaabbbbaabbaababaabaaabbbaabaaaaabababaabbbbbababaaaabbbbababaaaaabaabbaba
+abbbbbaaabbbaaaaabaabaaabbbaabaaaaaaabbbabbaabaaaabbaabaaabaa
+baabbbbbaaaabababbbbaababaaababbbbababbbaabbbabababbbbaabbbababbbaaaaabaaababbaaabaabbaa
+ababbaaaabaabbbbbaaabbaabaabbbbababbba
+baaaaaaabaaabbaaaabbbbbabbbbbabbabababbaababbababbbababa
+bbabaaababbbaaaaaabaaaabbbbaabaaaababaaaaaabbbaab
+aabbbabbbbbaabbaabab
+aababaaababaabbabbbabbaabbaaabbabaabaabbbbbbbbaabaabbabababaabbbaaabbbbbaabaabb
+baabbaaabbbbbabbaaaabbbaaabbaaaabbbbaaaaaabaabbbbbababbaaaabaabbabbabaa
+baaaabababbababbabbbbbbabbbabaababbbaabaaaabbaaabbaabbaaabbaabbbbaabbbabaaaabbbbaabab
+babbbbbaaabaaabbaababbabbbbaaabaabbbbbbbabbabbbaaabbabababb
+bbabaaabbabbaaaabababaaabbababaababbbaaabbbbaaaababaaabbaaaabbbabbbaababaaaab
+aabbbaabaaabbbbbbbbabaabbaaaaaababbba
+aabababaabbaabaabbbbabaaabbababbaabbbabbabbbaababbbbaabbbbbbaabbaaababbaabaabbabaaabaaaa
+ababbaaaabababbbbaaaabbbabaabbaabaaabbababaabbabbbbbaaaabbabbabaaabbabbaaabaabbababbbabbaba
+bbababbbabbbbababaaaaaababbaabaab
+baabaaabbbbbbbabbbbbbaabbaababaaabbabbbbbbbabaababbaaabbbaaaaaaabbabbbabbbbbab
+bbaababbbaaaabbaaabababaabbabaaaababaaabaaababbabbabaabbbbabaaabababaaabbbaa
+baaaaabaaaaababbababbbabbbaaa
+bababaababb
+bbabbabbbbabbbaabbbababababbbbabbbabbabaabbaaaabbbaabbaabbabbbabbabaabbbaabbaabbbbaabbbaabbbbabbababb
+bbbaabababaababaabaaabbbbaabaaabbbabbbabbbaabaaabbaaabbababa
+aabaaaabaaaabaaababaabbbbaababbbababaababaaaabbbbabbabbabbaaaaaabbaabaabbaabbabaabbbbababbbbaabbbbaaabbaa
+aabbaabbaabbababaabbbabbbbbabaaaaabbababaababaaaaaaaaaababaabaaaaaaabaabbabbaabbabaaa
+aabbbbabbaabbaababbaaabaaaaabbabbaaaabaabbbbbbbababaabaababbaababbbaaabbbbbbbabaaaaaaabbbbaaabbaababaabbaa
+abaababaaaabaaababbababbbaabaabaabbbbbbabbbabbbbaabbbbbababba
+baaaabaabbbbababaaaaaabbaabbaaaababaaaa
+bbbbabbbabbaababaabbabbbbbaaaabbbbbabaabaa
+bbbbaabababbbbbbbbbbbbababbbbbaaabaababbaaabaaabaabaaaaaabaababaaababbabababaaaabbbaabaabaababaabbbaaaaaaba
+aaaaaabaaaababbbabaaabbaabbaabbaabbabbbaaaaabbbbaabbbbabaaaaaaaaabbabbbaababaaaaab
+aaabaaaaabababbabbabbabbbbbabaababbaaaaaaabbaaabbaababbbbaabaabbababbaabbbbabbaabaababab
+aababaaaaaababbbbbbababbabbbaabaaaaaaabbababbabababaaabbaaababbaabbbaaabaaabbbaa
+aabbbbbbbababbbaaaaaaabbbaaaaaaa
+bbbabaabbaabbbaabbaabbabaabbbabbbaabaababbababaabbaaabbaababa
+bbabbbbaabbbaaaaabbbbbbbbabaaabbbaabbbaabbbbabbabbabaaaaabaabaaaabbbbaaaaababbbbbaaaaabbbaa
+bbaabbabbbbbbaabaaaabbbaaabaabaaabbbbbbababbabbaabbaabaaaabaaababbaaabbaaaaaabbaa
+bbaabbbaaabababbb
+bbabbaabbbbababbbaaabaaabbabaababbbaabaaabbaaabbaababbaabbaaaaabbabaabaabbbabbab
+aaaabbbabbabaaabbaababbaaabbabbaabbbaaabaabbaaababbaababbbabaaabbbbbaabaabaababaaaabbbaababababaa
+aaaabaabbbabababbababaaaabaabbaabababaaaabbaaaaaaaaaaaaaabbbbabbaaabaabbaabbababbbababbbbababaaaba
+aabbbbbbbabbaabbaaabbbbbababaabbabbbabbababbb
+abbaabbbaababbbbabbbbabbbbbbbabaabbabbbbbbaabbb
+babbbbabbbababbbbbbbaabbabaabbbabbaabaaaaaaaabbbababbabbbaaaaaaabbbabbbabbaabbbbabbbbba
+aababaaaaababbabaaa
+bbaababbbbbbbabbaabaaaab
+bbabbabbbbaaabbbbaaaaabaaababa
+aaaaaabbbbabbaabababbaaaabaabbaa
+bbaaabaabababbabbaaaaaabbabbbbababbbabbaba
+bbbbbbaaabaaabbabbbabbabbbabaabbabbbaaabaaaabbbbbbbbbbbbaabbbbaa
+aaabbbaaabbaabbababbbaaaababbbbab
+babbabaabbbbabbaaabbaabbbaabbabbaabbba
+bbbbabbbbbbabaabbbaaaaaabaabbaaaabbababaabbabbbbbbbbbbbabaabababbbababaaaaaaaabbbbababbabbbbaabbaaaaa
+abbaaababaaaababababaabaaabaabaa
+abbbbbbbabbabaaabbabaabbbbbabbabababbbbbbbaabbabaababbababaabbababbbbbbabbbaaababa
+babaaaabbababbbaabbabababaaaabababbaabaaaabbbbababbaabbbbaabbbbaaabababbaaabaaaabbaab
+aaaaabaabaabbbbbbabbababbbaababbabbaababbaababababaaaaabaaaabbbbbaaabaabaaaababbbba
+ababbababbbbabbababbbbabbbbaabababaaabaabbbbbbbbbbbaabaaabbabbabaaabbbbbaabbababbaaaaaab
+bbabbaabaaaabaabbaaabbabbbabaabbbbbbaabaaaabaabbbbbabbabbbaaabaabbabbbbaba
+babaaabbbabbbbabaaabaababbbbbbababbaaaaabbbabababaaaabbbbbaabbaa
+abaaabaaaabaaaaaabbaaaaabbabbaabbabbbaaaaaaabbaaaababbbaaabbbaabaaaa
+bbbbaabbbbbaabbbbbbabbaaaababbbbabaaaabbbbabaaabbabaabbababababaabaaaaaaabbbababbaaaabbbaab
+ababbaababbabaababbababaaaaaaa
+abaabbabababbbbbababababbbabbabaabababababbaaaabaabaababaaaaabbbbaabbabababbbbabababaabbaaabbaaaaaaabaabab
+bbbaaaaaaabbbbabbbaaabbababbabbbabaabbabbabaaabbabbbbaabababaa
+bbbaaaabbbbaaaaaabaabbababaabbaaaabbababbbbbaabaababababaabbbbbaaaaabbbbab
+aaabaaabbbbbaaaaabaaaabaaaa
+abbbaaabbabaabaaababbbaaaaabbabbabbbbbbabbbaab
+aabbabbabbaababbabb
+aaabbbababaaaababbbaabaaaaababbbaaaabababaababbbbbaabbaaaaabababaabaababbbbbbbbbbaabbaabaabbbababaabaa
+babbaaaaaaababaabbabbabaaaabbbbaabbbbbbbbbaaaaabababbabaaaabababbbbabbaaaababaabaababbbbaabbaabbb
+aaabaaaaababababaabaabbaaaabbbbabbbbaabaabaaababbaabababaaaaaaabbbbaa
+aaaabbbbbabbabbbb
+aababaabaaaabbabbbbbbaaabbbababaaabaabbbaaaaabaabaaabababbaaaaaababb
+ababaabaaaabaaaabaababababaabaabaaabbbbabaabbaaabbbaaaabbbabbaababaabbababababbbbbabbbaaabbbb
+baabbaabbaabaaabbbaabbbbbbabbbbaaaaaaaabbbbabababbbaaabbaababababbbbabbaababbabbaabbbbbbaabbbabbaaabbaababaa
+aaabaaaaab
+aababaaabaaabaabbaababaabbabbbaabbaaaabbaabaabbabaaaabbabbababaaabb
+abaabaabaabaaabbbbabababbbbaaaabaaaabaabaaabbaabbbabbbbabababaaaabbabbbabbabbaabaaabaaabbba
+ababbbbbbbbbbbabababaaaabaaabbbbabaaabbabbbbbababbbbbbabbbabbab
+abbabaabbabbbbabaabbaaabaaabbaabaabbaababbabbbabbbaababa
+aabaaabaabbaababbbbbbbbbbabbbaabbaabbbabbbababbbaabbbabbaba
+babababbbabbbaabaabaaaabaaabbbbaabbbababbbaabbabaabbababbbbbabbbbbbaababababbbabbbbabaabba
+ababaaaaabaaaabbbbbaabbbbbbbbbbbaabbbbbbbbabaaaabbbabaaaaababababbbabbaaabaaaabbaabbbbbabbabbaaaaba
+baaaaababaababbaababababaabbaaabbaabaabababbbabaaaaababaaabbabaabbaaaaababbbbaaababbbbabb
+abbabbbbbababaaaabbbaaaaabbabaabbbbbbaaababbabbabaaaabaaabababaaababaaaaaaabaaaabbbaabaaaabaa
+bbbbaabbbbabbabaaaaababaabbabaaaababbbabbbabbbabbbbabbabbbabaaabbabb
+bbaaaabbbbbaabbbbabaababaaaaabaaa
+aaabbaaaababaabbbaaabababbbbbbabbabbabbbaabaabaabaabaaaabaabbbbbababaababbabb
+aabbbbbaaabaaabaaaaababaabaababbbbaababbbaabbbaaabababaabaaab
+bababaababbbabbaabbaabbaaa
+118 25
+ccbddacdbaacbcabcabacdcdccddcdb
+aadaabbabbadcdbdbacbdbdcbaccaccddcaaabcbbddbccddaacadaabacaacdaddacbbaccccdbaddcabddabbabb
+ddcbdabaabdabbcdccaaacacbdccdabddcbdccbdbacdcbbdcdccdccacbbdaacadbcdccabadcdbbadcddbdadcaaacbcacdaaabbaa
+dcadbdcdbdadbdbbcbdbcbbcadcacadbdcdabcabdbacbdcddcadbcaacccdcabbaadd
+dcbdabbbada
+abcbccdbdcccbdaccdacddcddbdbcddacdbbaabdcccdcacccdbbdddccaabbbaac
+abcdaaddbddacb
+abccccabdcbbcbbadbcdccaadcddbaacccdbdcbcccacaabcbddccbadbcdbbdabcbdaddccadccdccdaccdcdbbcdcbcbcbdbda
+cbddcbabccabdbcdacccdd
+bcdbddcbbbadbdacdbdbcda
+bcbbddadcbdccbabbcbbbdadadaacddabaacbabaadabbcd
+bcbbbbbdbccbaacccccbaddbcacccacdddcdbbbdbcdcdbdcdcadc
+ddadcccadddaccaaaaccdcabcdbddaaadcbbbcdccddcbadbaadcbdcabbcdacbabdbddcdccbccdddccaabcadabdcbdbdbdccb
+dcaabddbcbadcabcddcaccadbddddbabddcbbdadbcbbca
+bcddbbdadbdbdaddaddcbaabdcdcdbbbaadddacccbcabbdcddbabbdabaddcdbbddcbbadbd
+dcbbacbcbaacacddabaacbdbaddddccadacdbddbac
+addbaddbabadddcddbbcadcdbabcbccabcbadacd
+bacbbccadbcbddcadcbcdcadbadbddbdbabaaaacaacccbcbdaaccabbbcdabbabbdaabadbaddcbabddccddbacaaacbdbacacdbdbcaaac
+dcaccbcbcbcbaccbccdcbcdbdadbcadbacdcaaabdbabbadab
+dadaacdddacccaaddbcbcabdaddcacbaaddddacdddabdaadbabcacdcb
+aabaacddcabbdcbcaadcdbaabacabdbbdaabdccbddaacbcadcdcaca
+adccbddaabcccaadddcbbbdbbbbbcbacbacccadaabbccdbdddadbddcdddbbaddbdddd
+cadaaccaaddbcddbcbdbababdaddcbaabacdccddbdcddabaadcaabdacbdacdbcddcbdbcabccdccacadbcdbcddaaaadbdcdcdab
+bcabdaadbdbbddcaacddacbacdabcbdaccadbdabcbbcbddcac
+abbbdacbcbddabdcabbdbdddadaaccddbabcaaadbdacbabbabcbdbdcaddcccbbccccaadacddaaccbdbdb
+bddaadddbadddbadacaccdb
+adddddcacabdbbcbdcdaa
+ccbaabacdaabdbcadbadbcacdbbaa
+aaddcaccbbdbdccbdcabbdabcdcbdcccdbcddcaacbdcaddaccadbbbbdcadcbdcadbbcaacadcdddcaadccbbbcdccbbcdccca
+cabcccbcdbbabdbcdcbabcdcacdaddcabddaaaddabdaca
+ccdbcaadcabdadbbdddbaabddbaaaccddcddbbbcadcabaaaacacbdacbcbdcdbbababcdbbacaccadbabaddbadddd
+dcdcbadadcddcbbdcbdacbabddbabcbbdcdcabbaacadbbdccdbacbabdcabcdccacaacacbbbcaabcbcabadb
+cbbbbbccaadbddaaadcccababcadcccddabdabcaddbacdaadbcddbdcbadbcdaadcdcaacbcbdabadac
+cbaccaccbadbb
+cdadcbbcdcbcaccadddaaaddcdcdcbbdbddaddbcbbaabbbacadbcabbdbbdbddadcbbcddaadabcbdcccadaacbcdbaabdbdadcddbbc
+bccaccaddbadaaaacdbbaaacdbcbbbcbabbaadbccdccacccc
+ccdadddabbaabdbdbdbaccccdccbadabaadbdbadbdbcbabcbbbaaccbacba
+cabddcdbbbbacbbacacccaddbdbccabad
+abddcaaaaaaaadbcbaaacadcaaaadcddbaadddd
+cacadbbcdccccccaacdcbdbbcdcddbdbcbbcbccaabcacacddababcbdcdcabdccccdabdbbcaccdbacbccaacabbccdcda
+cbdbcdbbabcbdddbaacacabbabdbbbcdadacaaaabcddbbccdccaaaaadadbdadacd
+cacdbddbabccbcccbbdacadbdadbddaadacaacabbabadcbbadadbdbdcca
+aabcabcdbdbddcccbbdaaacaabbbaabddacadadcbbbcaadddc
+dbbdcbdbabbdacadcaadcbbccdbadcdcdbcdaacbccbabbacdadbadccddaaacccdaddbdaddddaddbbbaccccdbcbbcaaaaaccadacbccbdc
+bacdbdbdbbbbcccdbcaccccacdccddbaddcddccbdcbdbaccabdcadccbbbdabcdbdbccbbbcbddbdcbbddccdaabaaadcdaadcabcbb
+accdbadcaabbabcabcadbbddadaadadddbcbccababcdcdcbbcbddcadcdbbdaaababccadaacbaccacccccadd
+adddcbbbbbabbddbaccabbccbbaadbdccbcddcadbccadcdcaaccdbdbbaaabadcddccdaccdbbdacbccbdaaacdbcdc
+bacdcdbbbababaababaaadbaabadcbbbbcdaddbccdcaccbdbcddc
+aabbcaddbdadbaaabb
+adcdddbdaaabadcdcdaddb
+acddacaccbadaccdbbabddcbbdcabdcaccdbcbdddabcaacdbabdcabbcabcacabdccddcdcaddddddbacaddadabddbdbbbdcddccc
+bdddccccaacbddddbdaaacbaccdccaaddbbbccdccaaacdbbcabbcacb
+cbaddbcaacccbbdccbcbdcabccbbdcaadaabbcccdbcadcadadcaccccbabbaabaadcbdaabdcdacdbabccaacbbdbaccda
+dbcdccddbbbacddaadadccdadadbaacaccaadddbdccddaaaccaabbddcdaddcabdcbcdbaddabaabaac
+badaccaddababcadbaadabbddbbcbdcaadccdccdbaababacbbbdadabbababcbcbdccabdbddacaddcdccdcdcbddc
+bbadccbcdddacabcadadaccca
+bbbaabcbadbcdbcacdaadddbaadbbcbbcbbbbdcdbcdbaacadaadcbddabacca
+bbacbcabaaabdcaaabcbcabaccdbacdadccbddbaacbbdaaabbcc
+cbdbbdadabdcbcccaddadbbcbccddacbbbabbdcccbdabadaabcdcbdcdbcbbbb
+bdbbbcbaadaccbdacacccdbbaaaddbdcddbadabbbcaaccacbbdcdaacbbaacacccadbd
+dacbcaabdbabaccbbdbcacddadbcaaccabbdddbbddba
+cdbcabbdaabadddaadcacabdadddaccbaddcbabccaadadcbadcccbbcb
+cabdabcdabbcaabcaddddcdbdcdbbbcdadbccbcbbbbaaaadbbc
+abbdcbcccdabbdbddcbababbbdccdccadadbcddacdccbadabaacbccddbaaddacacddbbadadabcab
+bcaccacbbdcbbbcbcaaaacaaacbcddabddabbbbdbccdabdcabc
+bdaadccbaaadccdadbbdaadbadcacdcacadbddaacdccdddadabcdcacdbcccbbcbcbbdcabcaaacccddacbacdcb
+dbbdcbaacddccbbabdbdacbccbccbcbacbbda
+aabcbdcccbadcbdcbadbbaddcbbdaabdbcccaccdbdda
+ccbdbacbadaaa
+cdaabadaddddaabaacacdbcbcddaaccbabbbdadadaccbbaccabccaccadbdbccbdbddacbdcdcacbabccdaccbadbabdadcbab
+aacaadbdbbcbcddddaaaadaadabbdbdccdccdc
+dbdbadbabbadccadcacacabaaadacdacacaabbaccacbbccdbdabacbacdadaabbbdbbcddbbcbbccaaaddbadbcdcccbdaa
+cbbababbdbccdddaddccaacbcdaaadbabddcaabcbadaaabdd
+abccadbaddacdddcacddacaacaabcbdac
+cdbdaccbaaddcdcdcbaccadccaccccccbcbbcadcaddbabaabdbababbdadcbcbdddbcbddbddbacdbdbbbdcdadcccbabbbacdcddbd
+daccbbaadaabdcccacdabbcbdddbddadbcdbbadccdabadddabaacaadadbddbbaddbabccbdad
+bacbccbccccaacbabacdbcdbacccabadd
+dbbbcdabacaadcddadcdbcbccbbaaacdadccaaccabdacdacbb
+dcacbdcbdbccabdbdccb
+cbbabccadbababcbaddcdbbcdddcbadbdccbbdcacccacdcdcddbcabddbbbdadaadadacacdaaccdbdbabcbdcaca
+adcdbccbbbbbbcbccbbabaccacbbadbcb
+addacbccdadcbcaddbdbbbdaccccaabacbbbbaababbccddcbcacdabddcdbdaccdcbddcbbdbabcaab
+bbdbcaaaddacaadcabcbacbaadbadcbbbcbbccabddbd
+dbaaadabbcbacddabcbbbaddaadaadbacadcdbabaccadabdddbacbdbddcdcacccdadbdcbdacadccdbacddbdcdbdacbddbadaaabcdcb
+dbbadaddbbccbddababdbbcbacdadacadc
+bdddcaaaddbbabcdabaaacdbcbbaaacbcadaaac
+baabdbdbcdddaabbbadb
+acbdbbdadcccadbbacdccbcbaacbcdaccccaacddccbabdbad
+cabaabdaadcdbdaddbcabdbcaccaccdcdccadbadccbbbbddbaadbdbaaddcbcadbddccddcabbcdbcbaac
+cccddcbddcaabccddcddbdbbaadddbdcaaaaabbbacbbddbdcdcbbdacbcdbbdbdddaadacbdadbacaaa
+dbacdbdbcbcacdbcdbcbddadaadacadbabcaaddddcdbddcbcbdacddddcbaadccbbabbbbdcbddbcadcbbabdcbccbdcadadbadaddac
+aadbdbcdcddcbcddabdabcdabcadcbcdbbbdaadbddddcccdacddbccaccaaacccccdaadbaad
+ccccdcacadabbbabccbbabcbdcacaddabbcdccaccbcdbaddaccbcaabcacaaccdbbbcacdcdabaccdaddadcadccaacaacabbdcbcbcdcccb
+cadbbcbbdaddbacacddaadbbdacccdbadabcdccbbaccabdcdcadabddabcdacdaacbdadbdbaaaacbcdcdbbbcadddbbdbdbda
+cddcdcadcbcddccdaccbbdbbbcdccddabcbdbadcdbdcbddaaacabbcabbdcadbaacccacdaacaacdacabbddaabbccdd
+bddccbdbcddddbdbdcddcddcabcbdbbcbabdacaacaaccdccdacbcdbbdacdadadbcddbcadaacacdcdddcb
+abbcacabadddcbbbdbbcccdabaabbacacaaabdbacbdbdccbbbccbbdcaabacbbabcdcdabdcbddadbaba
+cacbdbdbadabaacdbdaaddddcadabaccbccdcbaacdcbcbabcccacabcabbccbdbbadacadbdccbdbdcdacbbbaadcbddacc
+cdcbaabcbddabdadcaccbbcadadddcbacdbccdaadccdbccddadaaababbccbcacddcabaaabbddcacbac
+dacdccbdcbababbbbccaddaddcbabbaabcccaabb
+cdbddbcccdcccbdddcdcaadbabcacddcabbdacddccbcadacbad
+baacacccadbdbccadadbadccbcccbdcdaadaddbbacbdcbbbdbdcdddbdadbdbcccbdbaccdbbabcadb
+dcbcaabbaddbaaccdbacccaddbdddbbadbaaddabcbadcdcaadbadadbcbabbdccdcdaadbacccdcbccbdaaacddabaddaccdabdcadabba
+bacdcdabadddcbbadccdddadacdbcccdbac
+cacdacdbbccbbabcadcdcdaddaacaabdcbbabbaddddacaacbdcaaaabcabdbccbcbdaabcdbdddcccacddbadcddcccdabcb
+dacdaccdadddacdabcabaacacdbcbcbdcdacabadaabacaabbadbbdaaba
+acabacaacabaaabdababbabbdbddbabcbdbddbdbaaddcacaaacdbaaaddabccdbbcab
+bcabdccaaacddadbadadcabccdcddaaabcccccadccbddabdbbdbbcdadcacd
+bbccddaabaabddcdddccccddabbdbdccacadcaaccacbcccbbcdbddd
+bbacdbccbbdcbc
+cbbcbdcbabbcb
+cdadccbbadbccbdbacacdbbcbd
+babbbabcdccbc
+dccadbddbaacccacbcbcadaccaaaadabcbadbbbdcbdcacaadcdddaacbabaacbbbaddcbbabbca
+daaaadcadcaddddacbcdbadbbabbdcaaacadbabacdddbcdaddddbcacbb
+dcdbbccaddcbbaccdcbaccbcdbbacaadddbdddadbadbaaabddccadbdcbc
+accababaadabaadacad
+abcdbcccdcdcaaaaaadcbddbbcbcbdadacacabbacddbb
+42 30
+cbbacbcacbcbaabccaabcabbaacabbccbaaaabbbbaabcbcaaccaacbaabbbaccacbcaaaaabab
+bcabcccaabacaacabbbbaabaaabbcbacacabcbccacccbabbcbbaaaacbbaccccabcbcaababbc
+aaaacacbcaaccaabbabbcaacbaacbbbabbcbbcacccaabbabcaababbbbbacbabcbcabbaaabcaacbcaabcbbc
+aabaabcaaaa
+baccaaacbcbacbbacaa
+aaabbbaacabcbabaccacbabccbcacaaa
+aaacabaaabcbaaccbabacbaccaabbaabacbbccbcacbbcbcacbbbaaaacbcaaacccacbaabbabccabbabbababbccccbacbccccc
+cccccbccbabcbbababacaababcbbccbabcbbccacbccacaaabcacaaaabcbbacbaaabbaccbcbccccacbc
+cbacbaaaaaacbcaabcacaccccbbacbaaab
+caacbabcabcaaabbbbcaaabccacccbcbaababacabaabcbcaaaaaaabbaabcbaaaaabbbcaccabbccbcccabbacbaabcbaabbabbbacca
+aacaacbacaaaaaacaaacbcacbbbbacbacbacbbbcbbcabcabbbacbbaacbbbaccbaccaccbbaccbabaab
+cbabccccabcaababacabbccbbccaccccbccbababaabacbbbcaabbaaacbaaabacbbbabbbaabaabcaaabbbabacaacc
+abaccabacccbacbbbbbbccccbaaabccbbacaca
+accabbaababbbbcaacbccaaaabababcccc
+caccaccaaabacbbabacaaaccbcabbca
+ababaccbcccbabbabbaaccabcbbbcccccaabcbaccbcacccbbabcccaaa
+bccccbaccbbabacbaacaababbcaaacabccbcabbbaccacccababaccababcaba
+ccabcbbbaacbaab
+bacbcbabbbabacaacbacacbcccbbcaabcabacbcaaaabbbbacaabcaacbcc
+acbbabcbabcbabccbbcbaccabababccbacbaabcababccbabcabaabbbabbccbbacbcb
+abcaabbcaacabcccbbcbaacbbbbaaccc
+bbaaccbcbacabacaccaacbabcab
+ccbcacbcabcbcccacacabcaacaaacacabacaaabbaccabccabccacbababcabcbbc
+bbabbcaabccbbbacccbcbbabbccccaacaaacabaabbc
+ccabbbcaaacbbcb
+acabcbaccacbccabacbcabaacbbcaacababbcccaabbccacbacaabcccacabacbccccccbccbbbbccabbbaabbbab
+babaabbbcbcbbbbbccaccaaabbbbbcbbcbbacbaacbccbcbbcaabbbbbccbbbcbca
+aaababaaabacaaabcbcacbbcbcccbcabbabcb
+bacabcbcaccbccbcbccaaccab
+cbbabcacabbbaccbabaaaabcbcccaaaaacbabccabccbacbcbcabccabbcbcacabbacbabacbbbaacbccabcbba
+aacbbacaaaababbbbaaabbaaacaccbaacbbbccbccbabcaabbbabbcacbbbcaabbbaabbcbcabacccb
+baabbbabaacacbbabcccaaacbacbbcbbcacaabbaccabbabcbcbaaaaabcccaccbccbbcacaccabacbaaccbabccbbabacbcbbcbaacb
+bbccaaccbabababbbbcbabacabbbacabcbbabbaaac
+aabbcabaaca
+aaabaccaccbcaaaaaccbbcbbbacaaabcbbcabaaaaaabcbbccbaababaaaaaaaccbccacabccabacaccabaaacccacabac
+acabaaacaaacbabcbbbcaaabaabaacbaaababacbbcaacccbabbccabcaccbbccbbc
+bccbccacababbbcbbbbbbcaccacaaacccacbbccabccaaabaabcbbacccbbbbbbbccbbbacccccbcccabccbcababbcbcbbaa
+bcccccbacaccabcbbbbaaabcbacabcccabcaabcabc
+ccccacaaacbacbccababbc
+acaabbbcabbbbaacacbbbbbbbbbcabcbbccaccbcccbccbbccbaacababcba
+bcbcbaaaccaacaaacccabacb
+cbbcccbbcbabbaaccbbacaacacccbbacbcbccaaacabacbbabacacbccaaababccaaccaaaabaacacbbabcccabcbbabaaa
+266 12
+bbaaaaabbaababbbbbbbabbbbaabaabbbaabaaabababaaaaaaaababbbbaabbbabbabbaaaabaabbbaaababbbaabbababaabbbbabbbb
+baababbbabaabaabbbaababbaabbaabbababbabbbbbaabbabbbaaaaababbaabb
+ababaabababbbbabaaaaababbabaaabbaaabbbbbaaabaabaababaababbaabaaababbbbaa
+baaaaababbbbaaaaaabaaaaaabbaabbbbaababbbbbbbaaaabbaa
+bbaabaabaaabaaaababbaabbaaababbbbbbbbbbbbbaabbbbabbabbbaaabbbbbabab
+ababbbaaababaabbabbbbbbbabbbbbbaababababbbbbbaabaaba
+babbbbaabaabbbab
+abbbbbbabbaabbaabbabababbbaabbbbbaababbbaaaaaaa
+abaaababbababbaaaabbaaabbbbababbbabababbabaababaabbababaabbbabaaabbbbababaaababaabaaabaabbaabbabbbaa
+abaaabbbabaababbbbaababaaabbabbababaabbbabaabbaabbbaabbaabbbaababbaaa
+bbaaabaabbaaaabbabaaaaaababba
+bbbbbabaaaababbababbabaabaabaabaaaabaaaaaaa
+babbbabbaabbaabaaababbbbbabaabbbabbaaaaabbababaabaabbbbaabaabbabbbbbbaababbabaaaabbaaaaabbabbbabab
+bbbaaabaaabbbbabaababbabbbbaabbabaaaabaabaabaaaaaabaaabbabbbab
+bbbaaababbbaaaabaabbaabbbbaaababaaaaabbbabaa
+bbabbbbbaabbbbabbbbbbbba
+abaaabaaabbabababbbaabbabaa
+baabbbabbbbbaaabaabaabaaabbbbaabbbbabbababababbbbaaaabbabbbbbbbbaaaaabbaaabbbabab
+baaaabaaaabbaaabbbabbaababbabaaaaabbabbaaaaaaabaaaaaaaababaabbbbbbbb
+bbaabaabbabbaabbbaaaabbaaabbbabbababaaabbaaabababbaabaaaababbbbaaa
+baaaabaabbabbabbaaaabaaaabaabbabaaaaabaabbbbaaabaaaaaaaabaababaabaaaaababaabaabaaababababbaabbaaabbabbaaab
+aabbaabaaababbbbaaaababaaaabaabbaabaabaabbababbbbbabbb
+baababbbababbabbababbaabaabaabaabaabbbababbaaababbbaaaaabbabababbbaabbbbaabbbbaaabbababababbbabbb
+aabbbababbbababbabbabbab
+babaaabbabababaabbababbbbbabbababbbbbbbbababbbbabaabababbbaabaaaabbaabbababbbbaaaaaabbb
+abaabaabbbbaaabaabaaaaaabbaabbbaababaabaabbbaabbabbbabbbbabbbaaaaaaabbabaa
+aabbbbbababaaabbbbaaaabaabbabbaabaabbbbbaaaabbaabbbababbbaaaaaaabbbababbbbabbbbbabaaabaabbbbaabba
+baaaabbabbaabbaaabaaababbbabbabbaaabaababbbaaabababbbaabaaabbabbaa
+bbaabbbbbaaabaaaabbaaaababbabbbbbaaabbbaaaaaababbbaabaaabaaabbbabaabbaababbbbabbbbbaba
+babbaaaaaaaaaababaababbabaaabaaaaabbbabbbabaabbbbbbbbabbababbbbabaaaabaabaaaaaababababbbbaaabbbbb
+baabaaaabbabaabbabbbbbaaaaabababbbbaabbabaaabbbb
+aaaaababaababbabbbabbaaaabbbaaabbbaaabbbbabaabbaaabaabaaaaabbbabbbabbbbbbabbaaaaabaabbbababbaababaaababa
+aabbaabbabbaaaaabbaabbaabaababababaabbbabbaaabbbaaababbababbaaaaabbbaabaabbbbbbbaababbaabbababbbbbbaaabbbbbba
+abbaabbbabaabbaaabababbababaabbaabbaabaaaabbbbaaaaaaaaabbbba
+abbbbabbbbabbbaabaabbbbbab
+abaabbaabbbabbabaabbaabbaaabbaaaababbaaaabbabaabaabaabaaaaabbabbaabb
+baabbababbaaabaaabbabbbabbbbbaaababbaaabbbbabaaaabbbbbbabbbabaabbbaababbaaabaabbbbaabbaabaabbbabaaaaaaaabaab
+baaaaabaabbbbabbababaabaaaabbabbabbbaaaabaabbbbaabbabaabaaababbbbabaaabaababbaaabaabbaababbbbbbaa
+baaabbabbbaaabbbababbaaa
+aaabbbaabaabbbabbaaaabaabbabbaabababbbabbaaabaaaabaaaababaaabbbbabbbababaaaaabbabaaba
+bbabbaaabbbaaaaaabbaabbabaaabbbaabbabaabbababbaaabbaaabaabbaaabababaaaaabbbbababbbaa
+bbbbbababbbbbbbbbbabaaababaababbaabbbaaababaabbaaabaaaababbaabaaabaabbabbabaaababaaabaababbbabb
+abaaabbbbbabbbbaab
+babaaabbbbaaaababaaaaab
+aabbbbbbbaabbbbaaabbabbaabbbaaabbbbbaabbabaabbbbababbbbbbabbbbbaaabbaaabbabbbbabbaaababaaaa
+aaaababaaabbbaaabababbbaaabaaaabbbbabbbbbbbabaaabbbaabbbbbbbbabbbaabababbbbaabbbbbbaaa
+babbabbaaaaaabaaaabababaabaabbaaababbbbababbaabbaaaa
+bbaabbaabbbabbbbbaaabbababbaababbbbbabbbabbaaabbbbaaaaaabbabbababababaaabababababb
+aaabbaababbbaababbbaabbaaaaabbabbbbaabaaabaaba
+aabaabbbbbaaaabaabbaabbaabbbbabbbababbbbabbbbabababbabaaaabbbaaababaabaabbbaaabbbbaaabbbbaba
+bbaaabaaabbbabbabbbabaaaa
+baabbaaaabbabbabbaaaaababbabaababbbbbaabbabbbababaabbbababab
+bbaaaabbabaaaaaabaababbabbbbaaabbbbaaaaaaaabbaaababbbabaaaababbbaaabbaabbbababbaababbbaaabbaaaa
+aabbaabbaabaaaabaaaaaba
+abaaabbabaabbbbbabbabaabaabbbbbbbaabbbbaaabaabababa
+aabbbaabbbbabbbaabaaabaaaaabbbbbbbbaabbaabbba
+abbaaabbabbabababababbabbbaabbbaaabbbaabbabaabaabaabbabbaababbabbbabbaaabababaaababbaabbbbaabbbbaabaaaaaaabaa
+bbbabaababaabaabaabbaaaaabbbbababaababababaabaababbbbabaaabbbaabbb
+bbaabaabbbabaab
+baabbababbbbbabbabaaabbaabbbbbbaababbabbabaabbabbaaabababbbbababbababbbbbbbbaaabbbbbaaabbba
+aabbaaabbbbabbabbbbabbbabaaabaababbababbababbbbbaaaaaaaaabaaaabbbbbbabaababaabbabbbaababbaaaaaaabbba
+bbaaaabbaabbabaaabbbabbbaabaababaabaaabbaaabbbbaaababbabbbabbaaabbbaaababbaabbbbaaabaaaababbabbbababbabaabbb
+baabbabaaaabbbbbabbabbabbbbabbbaabababaabbabaabbabbbabbabbababbbbaaaabbaaaabbbbbaaabbbabbbaaabbbbaaaabbaba
+ababbbaaabaaabbbabbbabbabbbbbabbabbbabbbbaaabbbbb
+baabaaababbaaaaaabaababbbaaabbbbaababbaabababbaababbbaaa
+aabbbabaaabbbabbaaaaabababbabbbaaabbabbbaabbaabbbbabababbaaabbbababbaaaabbbbababbaaaababababaabaaabbaaaaaab
+baaabaaabbbbbabaaababababaaaabbbaaababbaaaabaaaaaaababbaaabaabbbabbbabbabbbbabbbabbaabbabbaabbaaa
+babbaaaaabaaa
+abaabbbbaabbabaabaaabbaaabbaaabaaabaabababbbbbbbbaabababbbabbaabaaa
+babbbbbabaabbaabababbbbbbbabbbabaabbbbabbabbbbabbbaa
+aabaabbbabbbbaaabbabbabbbbbaabbbabaabbbabbbbbaabaabbaabbbaaabbaabbbbaabbbbbbaaaaaabbaaabbbaaaabababaaaabbba
+aababbabbbabbabbaabbbaabbaaabbabababaab
+abababbbaabaaabbaabbaaabaaababaaabbaaabbbaaaaaabaabbaabbbabbaaaabbbbaaaaaaabbaababbabbaabbbbaaaaaabbaa
+aaaabbababbbbabaaaabbbbbaabbbbbbbaaababaaaaabbbaabbbaabbbaaaaabbabbaaaaabbababbbabbbba
+aaaaabbbbabbbaaaaabaaaaababbbaabbabaabbbbabbababbababaabbbaaaabbabaababbababbbbaaaabbabbbbaaabbaabbabbbba
+baaabaaaabbabbabbbbabbaababbabbbbaababbabaaaaaaaa
+bbbabaabaabbabaabbbaabababaaaaaaaabaabbbbbabbbbbababbbababbbbaaabbabbaabbbbaabaaabababababbaaabaaababbaa
+bbbbbbaaaabbabbbabbbbbbbbbbabbbbbababbbababbaaabababbabaabaababbbaaababbabbabbaaaaabab
+bbaabbaaaaabbbbbbbaabbbbbbbbbbbaaaa
+bababaababaababaaaabbaaabaabbbbbbaabbbabbbababba
+bbbaaabbbbabbbabababaabbaaabbbaaaababaaabbbaaababbbaababaaab
+baabbbabbbabbabba
+bbabaabbbabaaabbbaabbbbbbaabaaabbabbbbabbbbaaaabaabbbba
+baabaaabaabaaaaababaaababababbaaaabaaaaaabbaababbabbaaaaaabbbbbaaaabbbababbabaaabbaa
+bbbbabbaaaaababaaaaaaaaabbbbabaabbabbaaaabbbbbababaabbbbba
+babbbaabaaaabaaabbbbbabbbba
+baaababaabbbaaaabaaaabbaaaaaabababbab
+aaababbbbaababbbaabbaabbaaabaabbbbaaaaabaaabbabbaaaabaababbbbaabbababaa
+bbbaaabaaabaabbabbaabbabbaaaabaabaaaabbbba
+babaaaabbb
+abaaaabbbaabaabbbbaaabaaaaabbbaabaaaaababaababbbbbaabbbbaaaabbbabbaabaaaabbbaababbabaabbabbaaaaaabaaab
+aaaaaabaaabbaabaabaababaaabaaabbbbabbabbbbbaababaabbaabaababaabbaaaabbaaababababbbbababbabbaababbabababbb
+abbbbabaabaabaaabaabaababaaabbbababbaababbbaabaabaaabbbaabaabbaabaabbabababaaaba
+aaababababaabaabababaaaaabbbbbabbabbabbbbbbaaabaaaaaaabaababaabaaabbbaabababbbbbababbaaaaabaa
+aaabbbbbbbabababbabaaaaabbaabbbbaabaaaaabaabbbbbbababbabbbabbaabaaaabbabbababaabaabbbaaa
+abaabbbbaabbabbbaabbabbaaaaabaaabbbbbbababaaaaababbbbbaababaaabbbaabbabbaabbaaaabaaab
+aabaabbaabaabbbabbabbbbabababab
+bbbaabaabbbbaaaaaabbabbaabbaa
+babaababbabbaaaaaa
+babbbababa
+aaabbbbbbbbaabbbabaaabaa
+aababbabbbbaaaabbabaabbaaababbaababaabababbbbabaabaaababbbabaaaaaaababaaabb
+aaaaabbbbbbbaaaabbbabaaaabbbaaabaaabaabba
+baabababbbabab
+aaabbbbaaabbbababaabbbbababbbaabbb
+abbbbbbaaaabbbabaaaabaaaaabbbbaabbababababaaaabbabbaabbbbbbaabbbbaabaabaaaaabbababbabbababbbbabbbbbbbabbaaaaa
+bbababaaaaaaabaabaaabaaaabaaabbabaabababaabaaabbabbbbbaababaabaabbbbaabbbaaaabaaaabbbaabb
+aaaaababaabbabbabaaaaaabbababbaabaaaabbabbbbaababaaabaababaa
+baaabbbaabbbaababaaaaabaaaaabbabaaabb
+aabaabbbbabaaaaabaabbabbabbabaabbbabaababbbbbbaababbab
+baabbbaaababbbabaaaaabaaaaabaababbbaaaaaaababababbabbbabbbbbaaabaabbbababbbaaaabababaaaaba
+ababbbbabababaabaabaaaababbaaabaabbbbaabaaabaabababbaaabbbabbaaaaaabaababaaabab
+aababaabbaabaabbabba
+abaaabaaaaaabbbabaabaabbaaabaabbabbb
+aaaaabbababbabbbbbaabaaabaabaaabbbabaabbaaaaaabaaabaabaaabaabbbbbbbbabaabaabbabbaaaaabbabbbaaaaaaabbbbba
+ababaaaabbaababaababbabababbbbaaaaabbbbaa
+abbabbaaabaaaaaaaabbbbababaaaaaaaaababbabbbbabbb
+bbaababaaabbbaaabbbabbababbbbaabbbbabbabbbaabbbaa
+aaaabbaaaaabbaaabbbaabbbababbbbbabbaabbbaabaaaaabbbaaaabbaabbbbbabbbbaaabbabbbbaabababaabbbaaababbab
+baaabbabaaaabbbbbbabaabbbbaaabab
+bbabbaabbaaabbaabaabbabbbaabbabbababaabbbbab
+abaabbabaaaabaabaabaaabbbbbbaaaaabbabaaabbbbaaabbabbbababaaaaaaabbabbbaabaababaaaa
+abbbaaaaabbabbbbaabbabbaaabbabbbbababaaabaaaaababb
+bbbbbaabbbaabbbaabbabbababbaaaaaaaaaabbabbabbaaaaabaabbabbbaaababaaaabbbbbaabababbba
+baaabbbaabaabbababbaaaabaaababbbbaabbbbaaaaaa
+abbababbaabbababbaaababbbabbbbaaababaaabbabababababaaabbaabbbbbbabbabbbbaabbaaa
+aaabaaabbbbaabaaabbabababbaaaabababbbbabaababbaaaabbababbbbabaaaabaa
+bbaaaaaaabbbbbabbaaababbabaaaaabbbabaabbaba
+aaabaaaabbbaababbaaaabaabbbbababbaabbaabbbaaaabbabbaabaaabaaabaaabbbbbbbbaabbaaaabbabbaaba
+abaabaabbbbabbabbabbbababbababaabaaabbbbabbbaaaaabbaaaabbabbbaabbbaaabaabbaabaaababbbaaabbaababbabbaaaabb
+abbaaababababbbbbaabababaababbbbabbababbaabbbbbaabaaaaaaabababaaabbaba
+aabaabbbabbbbabbbbbbbababaababbba
+bbbbababbaabaaabaaaaababaaababbaaabbbbbaabbbaaab
+baaabbbaabababbbabbbbabbaaaabaabaabbabbbbbaababaabaabaabbaababbabbababaabbbbbaabaabb
+aaabaaabaaabaaabbbbbbabbaabbababbabbbabaaaabbabababbababbbaabaaaaababbabaaaaaababaabbbbbbaaabbb
+babbaaababaaaabaabaaabaaaabbbbababbbbbbaababbbbbbaaababa
+aababbababaaabbaaabaabbabbaaabaaaaabbaaaaaaaaabaababbab
+bbaaaabababaabaabbbbabbabaaaaabbbbbaababaaaaaaaaabaaaabbbbbaaaabbbabaaa
+babbabbabababaababbaabaaaabbbaaababaaaaabaabbbbbbbaababbbaaaab
+bbbbabaaaabbabbbaababbababaabbbaaaababaaabbaabaabababb
+aabbbabbaabaaaabbbaaaaaaaaaababaaabbababbabaababbaababbbaababa
+abbbbabbbabbabbbbbbabaaaaaa
+bababbbaaaabbbbababbabbabbaaaaaabaaabaabaaaabaab
+aabbbabaabbaabaaaaabaabbaaaabbaaabaaabbabaabbab
+bbbaaaaabbababbaaabaabbbbbaabaaaaabbaabbbaaaaabaabaabbbbbbbbbababaaaabababaaa
+bbababaaaaabbbaaaababbbbaaaaaabbbababaaaabbbbbbabaabaaaaaabbaaaaaaaaaabbaabbbababbbbbabbababaaaab
+baaababbbbaababaaaaabbaabbbbaabaabaababbab
+abbbababbaaabbabbbabaaaaaabaaaaabbabaabbbbbababaabbb
+aababaaaabababaaaabaababbaababbbaaaabababaabababababb
+bbbaaabaabbbbbbbbbbbbbbababbbbbbaabaaabbaabbabbbbaabbbaaabaabbba
+baaaaaabbbbaaabaababaaaabbaabbbbbbaaabaaabbbbbbaaaabbaabb
+abaabaabbbaaabbabbaaaababaaabbbabbaabababbababbabaabaabbaababaababbbaaabbaab
+aabbbaabababaabaaabbaaaaaabbabaaababbabaabaababaabbbbbaaabaaaabbbabaaabaabababaaaabbbbbaaaaaabbaaabbabbbbbaaa
+bbaabbaaabbbaabbbbaabbbaaaaababbabbbabbabbaabbbbaabbbbaaaabbbabaabaaaabbbbbbbaabaaabbbaabbbbabb
+abbbabaaaaabbabaaabbbbaaaabbbabbaaabaabbbbbaababbbab
+aabababbaaaaabbbabaaababba
+baaaababbbbaabbaababaaabbabbaababaabbabbaaaabbabababaaa
+babababaaabbbabbabbaababbbabbababaabbbabbabaaababbabbbababaabaaaabbaabbaaaabaaabbbaaaabbbbbbaabbabbabaabb
+baaaabbaaababababaaabaaaaabbabaabaaabaaaaababa
+aabbbbaabaaababbbaabbbbaaabbaaaabbabbaaaabaababbaabababaabbaabb
+baaabaaaababbabbbab
+aaaabbbbbabbbbaaabababbbaaabbabaabaaabbbbaaabaaaabbbaba
+ababbbabaabbaabbabaaaaaaaaaabbabbbbbabbabaababbba
+abbbbbabbbb
+aaaabaabbaabaaabbbaaabbbaabaababbbbabbaaabaaabba
+bbababbbbbbbababbbbbabbbabbbbabbbabbaabbbbbaaabbabbbabaaaaabaababaaabbbbabbbababbaabaabbababbbabbbbba
+aaaabaaabbabab
+bbabaaabaaabaaaaababbaaaaabbbbbbababaabaaabbbabaabbaabbaabb
+aaababbbbbbbbaabaaaabbaaaabaabbaaabaabbbabababababbbbaababbabababbbabaab
+bbbaaaaaaaaaabaababbbaabbbbbabbabaaaaaabbbaaaaabaaabbaabbbbbbaabbbbbabab
+aabbbbaabbabaababbbbbbaaabababbababbaaabaaaabaabbaaabbaaabaabbaabbabaabab
+bbbaabbbbaabbbbabbaab
+baabbbabbbbabbbabaabbbaabaabbabaaababbaabbb
+bbababbabbbbaaabbbababbbbaaaabbabbaaabbabaabbbaaaaaabbbbaaaaaaaabbbbbbbaaababbbbbaaa
+babbaabbbbbabbaaaaaababaababbbbbbbbabab
+babbaaabaaabaaabbaaaaababaabaabbbbaaabbab
+abbabbbbbbaabaabbbbaab
+bbbbabaaababba
+bbaaaabaaaabbbbbbabbabbbababbaaabaaaaabbaaaababaabbaaabbabaaabbbbbabbaabababbaaabababbabbbabbb
+aaabababaaabaabbaabbbabbbbbbbabbaaababbbababbbbaab
+bbbabaaaaaabaaaabbaabbbbbabababbaabababbbbabbbbbbaababbb
+bababbbaabbabbabaaabaaababbbbabbbaaaabaabbbbaabbbaabaaaaaabbaaaa
+bbaaabababbbaabbaabbbbaaabaaaaabbbbababbababababbbaababbabaabbabba
+abaabbaaaabaabbbaaaaabababbbaabaabbaabaaabaabbaabbaabbbbabbabaaaababababbbbbaa
+baaaaaababbbaabaabbbbaa
+aaabaaabaaaabb
+ababbbbabbabbaabbbaabaabaaababbababaaabbaabbabbbbaaababbbbaaaabbbbbbabaaabbaabbbbabbaabab
+baaaaaabbabbbbaaaaaabbbbaaabbbbaaaaabbaabbabbaabaababbbbbaaabbb
+aababababbbababaabaabaaaabaaaa
+abbbababaabbbbbbbbbabbbaaabbabbabbabbabaabaaabbbababaabbbaabababbbbaaaabaabababababaaaaaabaababbbabbb
+aabbababaabaabaabbbbbbbaaaabbaaaaabbbabaabaaabababbbabbabbbaa
+abbbbabbbbaaababaabbaaa
+aabbaabbaaaaaaabbaababbaabaabaabbabbbaabaabaabbbaabbaaaabbbaaaabbbbb
+aabaabaaaaabababbaaababbbaaaababababaaabbaabbaabbbaaaabbbbaaaabaabbbaaabbbabbabbaaabbbbbbaaabbbbaabbbbaabbbaa
+aabaaabbababbbbabaaababaabbabbabbbababbaaabbbbabbaaababbbbbbbabbbbbabbabaaababaababbaabaaaaaaab
+abaabaaaabb
+babaababbbbabbaabbabaaabbbaababaaaabbaaa
+baaababbbbabbaaabbabaabbaababababbabababaaababbbab
+baaaababaabbbbababaaabaabaabbbbbbbaabbaabbbbbaabaaabaaababbaaaaaaaabbabbaababbbbbbbaabbbbbabaabbaabbbaabaaa
+babaabaabbbaabbaabaaaaabaaabbabbababbbbaaaaaaababaabaaaaaababaababaabaabaaabaaababaabaaaaaa
+bbbbabbababbbbabbbbabbaaaaababbaabbbbbbbabbbbaabaabaaaaabaaaabaaababaabaabbbaababbabaababbbbabbbababaaaab
+aabbabbabaaabbbababbaaba
+bbbabaabbbbbbbbabbabaaaabbbbaabbbbaaabbbaabaabaababababaaaaababaa
+bababbaaaabaabbaabbbaabbabaaababbbbbababbbbbabb
+abbbbbbbaaaaa
+baaaaabbbbababbbaaaaabbbabbbbbbbbbaabbbababaaaaaaaabbbaaaabbababbbbabbabaaababbaabaabababbbabaaabababbaabbbba
+baabbabbaaaababababbabaaabbaabaabbbbaaabbabbbbbabaabbbbabbabbababaabbbb
+abbbbaaabbababaabaabaabaabaabaabbabbaaabbaabababbaaabababbbabaabaabababababbbbbbaabbbbaaababab
+aaabaababbabbbabaababbbababbb
+abbabaabbbbababababaaaabaababaababbbbababaaaaabbaaabaaaabbbbbbaaabbaaabaaabbbaabbbaaabbbaa
+aaabbbbbabaaabbababaaabaaaabbbabbbaababbaaaaabbbbaabba
+aabbbbbaabaabaaaaabbbbbbbbbababb
+bbbaabbaaaababbbab
+bbbbbaabbabababaaaaabbbaaabbabaabbbaabaaababaaaaaabbbbbbbaaabbaababbbaaabaabbbaabbabbbababbbbbabaaabaa
+aabaabbababaabbabbababbbbbaababbaababbbaaaaaabbbabbbbabbabbbbbabba
+bbabbabbbabaaababaaba
+bbbbbabbaaabababbabbbbababbabbbabababbbbbaaaaaabaabbabbaaaaababbaabababbabbaabababbabbaa
+bbaababbaaabbbaaabbaabbaaaababaaabbbabaaaaabaaababababaaabaabaaaaabbaabaaa
+aaaaabbbbbaabbbbabbabaabaababaabbabaaaab
+bbaababbaabaabababbabaabbbbaaba
+abbabaaababbabaababbbbabbbaaaaabbaaabaababbbaaabbbbaaaabbaaa
+bbaababbbaaabbbaabaaabbaaaaabbbbbbaabbbbaaba
+ababaaabbabbaabaaaaabbbaabaabbbabababbbaaabaabbbaaaabbbbbaaaaaaabaabbbbabbaaababaabbbbbbbbabbbbabaaabba
+bbbaababbbabbaaabba
+bbbaabbbabbbaaababbaaabababaabaababbbbbababbabaabbbbbabababbaabaaaababaaabbaaabbabbbaababbbbbaaabbaaaabbaaba
+abbabbaabbbaaaaabaabbababbbbbaaabbaaabaaaabbbbbabaaabbaaaaababbbbabbbabaaaabbabbab
+bbabbabaaabaababaaabab
+bbbaaababbabbaba
+bbabbbabbaabbabaa
+babbabbababaabab
+bbababbbbbaabbaaabbbababbbaa
+bbabababbaaaaabaaababaabbbabbaaabbbbbbaabaaaabbaaaabaaaaaa
+ababbbaabababbbbaabbbb
+aababaababaabbbabbaaabbaaabaaaabbaaabbbbaaabaabbbbaababbbabaaabaaaabbaaaaaaaabbabbbbbbabbbaabbbaabbbbbbaabb
+abaabbbbaababbbababbabbaabababbabbbbabaaab
+bbbabbabbbbbbaaababaabaabbbaabaaababaabbbbabaabbbababaaaaabaabaababbaaabaaababaaabaaaabb
+abbbbbbbbbaaabaaaabbaabaaabaaaaa
+baababaabababbababaaaabbbbbaaabbbbaabaaabbaabbaaaaabaaaaabbbbabaaabbbbaabaababaaaaabab
+aababaaabbaabaababb
+abaaabbaababaababbbaabaaabbabbbaaaaabbbabbbaabaabbaaabbababaabbbaaabaabbabaaaaa
+baaabaabbaaabaabbb
+bababbabaabaabbabababaa
+babbbaabababaaabbbbbbbabbbbabbabbbbbaaabaaabaaaab
+bbbabbaabbaaaaaababaabbbaaababbbbbaaabaaabaabbaababaabbaabba
+abbaaabbaba
+baabbaabaaaaababaaabbaaabbbabbbababaaaababa
+aaaaaabaaaaaabaababaabbabbbabababababababbaaabaabbbbbabaabaaabbaababbbbbabaaaba
+babbbababbaaabbaaaaabbabbaabaaaabbbabaaabaaabaaababbabaababaaa
+bbabbaabbaaa
+abbbaabaabaabbbaaaabaaaaabbbabbbbaaaaaabbbabbabaabaaabbbaaabaaabbaabaaaaaabaababaaaba
+babbbabaaabbabaaabaabbbbbbaabbbba
+abababbababbabaabbabbaabbababbaabbaaabababbaabaaabaabababbbbbababbaaababbbaabbabbaababb
+baabbbbbbba
+abbabaaabbbaabaabaabaaaaabbbbaaabbbaabaaaaabbaababbbaaabbbaaba
+bbaabbababbbabbabaaaaababbaaabaababaaabaaaaaababaabbabbabaaaaaaaa
+abbbbbbabbbaaaababbabbbabbbabbaabaaabaaaaaabbbaaabbaababbbaaaaaabababaaabb
+baabaabbabaababaaabbbbbbaaabbabaaaaaaaaababaabaababbaaaaabababba
+ababbaabbbabbaa
+abbbbbaaabbbbabbbabaabbabbbbbabbaabbbbbaaabaabbbbaabababbabbaaababba
+bbaabaabbaaaaaa
+bababbabbaabbabaabbbbbbbbbbaabbbabaababbabaaba
+abababaaabababababbaaaab
+bbbaaabaaaabbabaaabbbabbbaabbbbbabbabaabbaaaabaabbbaababbabbbabbbbaaabbbbbabbbbaaaaabaababb
+aababaababbb
+aabaaababaabbaabababaaabbbababaa
+bbabaaabbbaaabaababaaaaabaaaaaaabbaabbbbabaaaaaaabbababaabbaaabbaaababbbaabbbaabbbab
+178 158
+abbaabbbaaabbbbbbbababaaaaaaaabaabaabaaab
+abbbbbbbbbababbabbaaabababbbbaaabaabbaabaabaabaaaabbaaabaaabbabaababaabbabbabaaabaaababaabbbbbbaaaaaaaaabaab
+bbbaaaabaabbbabaabaababababbababbabbbabbbaaaabbaaaabbabbbbb
+bbabababbaabaabaaabbbabbbbaabbaabbaaabbbababaabbbbbaaabbbaaabaaaaabaabbabbbaaabbbaaaabbaabbbbabbbb
+abaababababbbabbabbbbbbabbaabababbaaaabbbaaaabbbabaaabbaabbabbabbbaaaabaaaaabaabababbbbabaababbbaababbaa
+abbbbbaabbbbaabbbbbbaabbbaababaabaaaaabbbababaababbabbabbabbbab
+bababbababbbbaababaabbaaabaaababababbababaaababaabbabaabbabbbabababaaababbababaaabaabbaab
+aabbbabaabbaabaaaabbaabbbaaaabbabbbabaababbbba
+bababbaaaababbaabbaaabaaaababbbabaaaaaaababbabbaaababaaabbaabaaababaaabbbbbaabbbababbaababaaaaaaaaaaabbbba
+baababbbbaaaabbabaabaa
+aabbaabaabbabbbaa
+bbabbbbabbaa
+bbbbabbbabbaaababaabbaabbbabbaaababbbababbbaabbaaababbbabbbbbaaabbbbbabaabbaaaabab
+baaaaabbbabaabbbbaaaabbbaabbaabbbaabaaaabbaabaabbab
+aababbbbbbbbbbababaaaabbabaabbbaaabbaaabbaaabaaabababaaababbabbbbbabbbabababaababbaabbbbaababbaaaababb
+bbabababbaababbbbbabbaaabbabbaaababbbabaaabaaaababaaabbbaabbbbaaabbabaaa
+abbbbbbbbbaaababaaaabbaabbbaabbbababbaaaaaaabbbbabaaaaabbbaabbaaaaababbaabbb
+bbbbaabbabbbaabbbbbaababbbbbbbaabaababbabaaababbbbabaaaabbbb
+abaaabaabaabbbabbbbbaaababbaabaababbbaabaaababbabaaabbbbbbbaaaaabbababba
+abbbabaaaaba
+baaaabbaaabbbaaaaaaaaabbaabbbababbbababbabaabbbaabbbabbbbabbaaaaaababbbabaabbbbbbbbaaabbbbaaabbbaaaaabaabaaaa
+ababbabaabaabaa
+ababbbaaaabaabbaa
+abbbbbabbbabbababbaabbbabaabbbbabaabbabaabaababbbabaabbbabababbabbbaababababbaaaaaabbaabbaaaaaababbaabaababba
+baaababababbaabbbabbaaaaabbbaaabbabbbbbabaabbb
+aaaabaabaabbabbbbbbbbabbbbabababaaaaabaaabaaaabaababbbbbbababaabbbaaabaababaabbbbba
+bbbaabaabaabbababbabaaabbabbaaaaaaabaaaabaaabbbabbababaaabaaabbbababaaaaaaaababbbbbaabbbbbaaabbbbaaaabba
+babbbabbabbaabaabba
+abbabbaaababbaaaaabbabaabaab
+bbbbbababbbbaaaaa
+babababbbbaabbababbaabbabaabbaabbabaaaaabbaaaabbbabbaaaaababbaabaaabaaaababbabbaaababaaabbababaabab
+babbabbbbaabaaaababaaaabbbababaaaaaaaaababaabaaabbbbbabbbaaaaabbbababbbaabbbaababaaaaaabaaaaabbaaaababba
+aabbbbaabbaababbbbabaaabbbaaaabbaaabaaaababbbbbaabaabababbbbbbaaabaababaaaabbbbbbabaabbbb
+bbbaabaaabbbaabbbaabbbbbbbbaabbaababaaabaabbbaaaabbaaaabbaaaabaaabbb
+abaabbabaaaa
+baababbbbbbaabaabbbaabbbbbabababb
+abababababbabaabaaabbaaabaaaabaabaababaababaaaabbababbbbbbabbabbbabbaab
+babaaaaaaabbbbaabbabaabaababbbabaabbaabbaaababbbbaaaabbbbbbababbabba
+babaaababbababbbbababbababbbbabbabaabbbababbbababaaaabaaabbaaaabbaaabbabaaaaaaabbbaaaabbabababb
+aabbbaaababbbabbabbabbaabbbbabbbbbbbababbaaabbbaab
+aaabaabababbbbbba
+baaaaabaaaababbababbaaaabbbabaabbbaaabbaababbbabbbabbabaaaaaabaaaaaaabbbaa
+aaabbaabbbbbbaaababbaaabaabbaabaaaabababbbaababbbaabbabbbabbbaabbaaaaabbaaaabbaaabbbaababbaa
+abbbbabbbbbaabbaababaabbabaabbbabab
+bbbabaabbabaabbbabbbbbbabbbabaabbaa
+bbaaabbbaaba
+bbbbbbbbbbbabbbabaabbbbbaaaaabbabbabbbbbaabbabaaaaabbaaaaabbbbabbaababab
+ababaabbabba
+bbaabbbbaababbbbbbbbaaaaaaaababaaabbbabababbaaaaabaaaabbabb
+aaaaabbbaabbabbababbabaababababbbbbaabbbaabaaaaaaabaaaaaaabbababbbbbabbbaababbbaabaabbbbbabbbbaabaaaaabaaa
+babbabbabbaaabbbbbbaa
+baabaaabaabbaaaaaaaabababaaaaaaababaabbababbbaaababbbabbababbbbbabbbaabbbaabaabbbaababbbaabbbbaaaaaba
+bbaaabbaababbabbbabaabbaaaaaaabaabbbaaabbbbaaabaabaabaaaaababaabbbabbaaabaabbabbbabbbab
+bbbaabababbabbbaaabbaaaaabaabaaaaaabababbabaabbbbaaaaabaaabbabababbababbaabaabbbaaabab
+bbbbababbabaabbbaaaaaababbbbbbbabbaa
+baabaabbbbbabbbaabbbbbabbbbbbbaabbbbabbbbbaba
+abbabbbaaaaaaaababb
+abbaabababaaababbabbaabbbbbbaaabaababaabaabababbabababbbaaaabbbaabaabbbaabbbb
+babbabbbaaabbbaaabbababaaababbabbbabaaabbbbbbaaaabbbbaabaa
+abbbaaabbbaababbab
+abaabaababab
+baaaabbbbbbbaaaabbabaabbabaaaabababbabaabab
+abbbabbabbbbbababaababababaaaaabbaaab
+aabbbbbbbbabaabbabbbbabbabbabbabbbbabaaabababaaba
+bbbbbbaaaaaaabaaabbbbaabaabaaaabbaabababbbaabaabaabaabaabbabaaabbbabababbbbbaaababbabaaaaa
+abbbaaabbabbbabbbbaaabbabbabbaababbaba
+baabbbaababababababbaaabaabbabaabaaaababbaaaaababababaaaaaabbbabababbababbbabaaaaabbaaababaabaa
+baabaaababbbbaabababaabbaabbaaabaaabaaabaabbaaaababaabbbbaaabaabbabbbbbaabbbbbbbaaaaaabababaaabaa
+ababbaaabbbbaaabbaabbaaababaabbbbababbabaabbbbabbabbbabaababababbababbbbabbaaababaabb
+abbbbaaabaaaaabaabbaaabbaaabbaabbbbababbbabbaabaaaaabbababaabbbbababbaabbababaabbbabababbbbaaabaababbb
+bbbbaabbabaa
+baaaaabaabaabaaaaaaababbaaabaababb
+abbabbbabaabaababa
+aaabbbbaaaaabaabbaaabaabaababbbbaaaababbbabaaa
+bbbabaabbbababbaaaaabbbaabaaabbabbabaaaaaaabbbbabaabbbbaabaaaababaaaabaaaabaabbbaabaabbbabbbabaaabababababb
+babbaaaaabaaabababbbabbaaabababbbbaabbbbaaaabbaabaababaababbbabbbaaaaaabababbbbaaabaaabbbaaab
+aabaabbaaababbabbababaaabbbbbbababaaababbaaaaaabbbaaaabaaaabaababbbabbabbaaaaaabbbbbabaabbba
+bbbbbaabbbabbabbbbbabbbbbaba
+aaaaabaaabaababaaaabbbbaaaabaababaaabbaaaabbabbbaabbbababbbabbaaabbbbabbbabbabbbaaababaaabbbaabababa
+baabbabaaabba
+babbaaabaaabaaabbbbbbbbbbabbabbaaabbbbbabbabb
+aaaaaaababbbbbabbbaaaabbbaaaaaabbbaaabbaabbbbbaabaaaaabbbbaabbabbaaabbabababbaaabaaabbaa
+aabaaabbbbbbbabbabbbbaaabbabbbabaaaabbbaababababbbbbbabaaabbababbbabaababaaaaababababaaaabab
+abbbbbabbaabbaabbaaabaaabba
+bbbababaabbabbbbbaaaaababbaababbabaabbbabaabaaababaaaabaabbbababb
+ababaaabbaabbbaabaababaabaabaaabbabbbababbaababbbb
+bbaabbabbaaabaaaaaaabbabbbababbaaabbbaaaaabbbaaaaaaabbaaaaab
+babaabbabbaaabbbbbabbabbaabaababaabbaaaabbaabaabbbababbaaabbaaaababaababbbbbabbbaabbaaabbbabbabbabbaab
+aaaababaaabaabbbabbbaaababaa
+bbbabbababbbbabbaaaaabaaaaaaaabbaaabbaaabbaabaabbbbabbabbababbababababaabbbaabaaababbbbb
+aaabbabaabbbaaaaaaabaaaaaaabbbbbbbbbaabaabbbaba
+babbbabbababaaaabbbbababaaabbabaabaabbbabaaabbaabab
+bbbababbabaaaaabaaaaabbababaaababbabaaabbaabbbbbaabbbbbababbbaabbaaabbaabbaabbbababbaaaabbaaabbbababaa
+baababaabbaaabaaababbaabbaaabbbaaaaaaababbaabbbaaaabbaa
+aaabbbbaaaaabbabbabbbbbaaaaabbbaabbaaabbbaabbabaaabbbaabbabaababaab
+bbabbbbbaaaaaab
+bbbabaabaabb
+aababbbababbabaabbabbbbbbbaaaabaabaabbababbbbbaaabbaa
+bbbabbaaababbaaaabaaaababaababababbababbbbabbab
+bbaaaaaaaaababbbabababaabaababaaaababbaaaabbaaaaaaababbabbbbaaabbb
+aababbabaabbabbbaabaabbababbabbabbaa
+baaababbbaaabbbbababababbabbbabaaaabbabbaaabaabaaaabba
+abababbaaaaaabbababbabbbbbbabbaababaabbabababaabaaababaaabbabbabbaabbaababbbbbaababbabaaaabbbaab
+ababaaaaabbbbbbbabaabbababbababaabbababbaaabbbbababaaa
+aaaabbabaaaaabababbabaaabbbbbabbababbbabbbbbaabbaababaabbbaaaa
+baabbaabaaaabbbaabbabbbabaababbaaababbaaababbbabbbbbabaaabababaaabaabbbaaaabaaabbab
+aaabaaababbabaaabbabbaaaaaaabaabaaaaaabbbaaabbaabbbbaaabbbbabaaabaaaabbababbbbaabbbbbaabbbabbaa
+bbbabababaaaaaabbabaaababbbaaabbbbabaabbbbaaabbbbbababbaaaabbbababbaabaaaabaabaababbaabaa
+aabaabaabaaababababaabbabbbabbabbaaabbaaaababaabbabbabbabbaa
+baaaabbabaabbbaabbab
+abbbbbababaabbabbbabaaaabbbaaabbbbbbbaabbaababbbbaa
+baabbabbbabbaaababaaabbaaaababbbbaabaababbbabaaabaaaabaaaaaabbabbabbabbaabaaabbaaababababaab
+abbbabbaaabbabbb
+aabaabaababbbaaabaabbbbbabbabaaaaaaaaabababaabbb
+abbaabbbabbbbbbababbaaabbbabaaa
+ababbabaaaaabaabbbaaaaabababababababbbaaabbbbabbabbaabbbbabaaababbbabaaabb
+aaaabaabaabababbaaabaabbbbaaababbabbbbaa
+bbaabaaaaaaaaabababbababbaabbbbababaabbbbbbbbabbaa
+aaabaaaabbbababbbbaaaabaaababbabbbbabbbbbbbbbbbbbbbbbabaaaabbabaaaaabbbbbaaaa
+bbbbaabaabbbbabaabbabaaabbbaaaaababbaaabbbaabaaabaabaabbaabbaabbaa
+babaaababaabbaaaabaabababbaaaaabbaabbaaabaaaaaabaaabaaabbbaaabba
+baabbaaaaaababbaabab
+babbbaabaaabbbbaabbabaaaabbbabbbabbabbaaa
+abbabaaabababbabbbbbabaaabbaaaaabaabbbabbaaaabaababaabaaaaabbbaaab
+bababababbaaababaabaaaabaaabababbabbbabaababbabaabbabaaaaabababbbaabbaaaaabbaaaaabbab
+babbabbbaaabaaaaabaabaabaabbabaaabbaabbbaabaaaababbabbaaaaabaabbab
+abbaaabaabbaaabbabbabab
+abbaabaabbaababababbbaabbaabaabaabbabaababbaabaabbbab
+babbaaababbbababbaaaababbabbabaababbbbaaabbbbbaaabbbbaaabbabbbbabaabbbbabbbbabbbaaabaaababababab
+babababbbba
+aaabbaaaabbaabbaababbbbaabbbbaaababbabaababbbaabaabaabbbbababbaaaabbbabbbabbabbbabab
+aaabaabaababbaabababbabbaabbabbabb
+babaabbabbbaaaaababb
+abaabaabbabbbaaabbabbabbbbbabbbbbaaaababbababaabaabaabbaababaabbbabbbbabbababaaaaaababb
+ababbbbbbaababaabbbbbaabbaaaabababbbbbbbbbbbbbabaabaabaababbabbbbabaaaaaabbbbaabaab
+abbaabbaabaaaabbababbbabbbaabbabaaababb
+abbabbbaaaaabbbbbaaaaaaababbaabbaaabaaabbbbabbbb
+aaabaaabaabaaaabaabababaabaabaababb
+babbababbabbabbaababbbbbaaaabb
+aaaabaaabbababbbbbaaabbbabbaabbbaaabaabbbbbbabaaabaabaabababaaabbbaabbbbabbabba
+abbbbaaabbabaaababb
+aabbaababaaabbaaaaabbbaaababbaabaaaabaabbbaabbaababababab
+abbbabababbbbbbabababababbabbaaa
+babaababbaaaabaabb
+babaaabbaabbaaabbabbabbbaaababababbbbabbaaabbbaaababbbbababbbabbbabbaaaabaabaabbaabbabbaaaaa
+bbaabbbaaaaaaabaaabaaabababaaaabbaaabaabbbbbbababbbbbabbaabaabbababaaaababbaabbbba
+bbabbbbbabbbaababbbabbbbbaabaabaababbaabbaaabbbaa
+babaabbbbaabaaabbbbbbabaabbbbaabaaaabbbbbbaaabaaabbaabbbbbabbaaa
+bbaabbaaaaabbabbabbbabab
+bbbbabbbbbabbaabaabbaabaaaaababaabbaabbaaaabbbbbabbabbbaabbbaabbaaaababbbbbbbbaaabbbabaaaabaabbbababaaaab
+baabaaaaababbabbabaaaba
+abbbbaaaabbaababaaaaabbabbabbbaabab
+aababaabbb
+bbbabbaabbaababaabbbabbaaaaaabaaababbbbaabbababbbabbabbabb
+bbbbbbbbbbbbbaabbaabbaaabbbabbabaaabababbbabaabababaabbaababbbabaababbbbaaabbabaaaaabaaabba
+abbbabbabaabbbbaabbbbabbbbabababaaabab
+aabaaabbabaaabbaaaaaabbabaabbabbbbbabbbaabbaaaaabbbbaaba
+baaaaaabbabaaa
+babbabbbbbaaabbbbbababbbbbaabaa
+aabababaababaaaabaaabbaababbabbaaababababbbabbbbbbbaaaaaaaaaaabbaaaababbaaabbbaaabaababb
+abaaabaababbaabaaaabaabbbbbbbaaabababb
+aabbaaaaaaaaababaaababbbbbabbabbabbbbbbaabababaaabaaabbb
+abaababbabbbbbaabaabbbaaabbabbabbbbbabbbbbaabbabbaa
+aaaaabbbbbaaaaaabbaabbbaaaaabbabbbbbabbbbaaabababaabaababbaaab
+bbbaaaababbaaabbbbbaaaabbabaaaabbababaaabbabbaaabbaaabbbaabaabbbaa
+aaabbabbbbabaabbbbaabbaabbabaaaababbaababaabaaabaaaabaaabbbbabbab
+ababaaabbbabbaababaaaababbbaabbabbbaababaababaababbaabaaabb
+baabaaabbbaaaabbbabaaab
+babbbabaababaaabaaaababbbbbabaaabbabbbbabbababaa
+ababbabbbaaababaabbbbaaaaabbaaaabaabbbaabbaabaabababa
+bbabaabbbbbbbaabbaabbabbbaaaaababbabbaaababbba
+babaabaaaaabab
+baaaaabbbbabbbbbab
+aabbababaababbbaaabaabbaaababaaabababbabbaabbabbbabbabaabbaaaaaaabbbbababababa
+bbaabaaabaababababaabaaaaabbbbbababababbabbabbaaabbaaaaaabbabaaabb
+bbabbbbabbaabbabaaaabbbbbbabbababbbabbaaabbbabbaabbabaabababaaaaaaaaabaaaaaabbbbabbaaabaaaa
+bbbaaabbaabaabbabbbbbabbbbbabaaaabbbbbbbaabbaabaaaaaaaabbbabaabbbbabbaabababaabbaaaabb
+baabaaaaaabbbbaaaabaaaabbaaabb
+205 205
+bdcbbacbcaccdbbaddcadcadcdcccacbaaacaabbdacdbbcaabaddcacbbacabdacdaccdbbbb
+dbbabcccbacdbccaaaccaacbcabbdcbbabac
+bbbbbbddaababbbcbbbbdccabccbbddaabbbaccddcdaccbacbdccdadbadccbddccdcdcddbbdbdbdabccbc
+dddcddcccbbdcdabcdcdcaabad
+bccdbacbbcdcdccbbdcaacddabaccdadabcbacdabdbdcbacbabaabbdcadbcbcbbbaddbdcccbdcdab
+bdbcbabbbdbcbbacdcdbadccdcbaacdcdcbbbccbbbdbccbbbbadd
+bcbdacacabddacabbaaadabaddcdabdbcdbcdcacaccdddbccdddbcdcdaabcaabbdccdcaadbc
+bbcbcbcdcbaab
+aaaadbdcabcababcadcdbbdabacdacadcdb
+cdabbdbdacadacabacdadcddcbaddbdcbbbbdcacdcabaacdadcacddbccbacccccaadadbbcdcbdabadbaccdbcbcddacdccaabdbaabdaac
+acdcbadddcbddabdcbcaaccababdaabdcacaddbdddcddbbccbdcbbbcdbbacbbbcabbdcbdadddadaddddbacbccbdbddcadabdd
+baaadcbbddbdabbabddb
+aaaccdccdbbadcdabcdcbaabcccacddbcccaddaabdbcaccabbbccbaababccbccdabbdbdcacdca
+abcbbdababacddddabcdbccdccccbbaababcaddbaaadcdddadbbdcbabadbcbaddbbbdcbaabacddaadcadbabddddcbbdacb
+abadadbabbcacaacbaacdaacacabdbbbdddabbbdadcabdbadbaaabaacbddaaadcdbcbd
+abacacccccacddcdcdcbcabcdcadcbddbddacccdbbacadababdcddabcddbcabdcdbdddaadadcbddbadcbbcadbabbbbcbb
+ccdcbcadacbbcbcdcacdcbabbcbcacddaaddaaaaabaadddcbbcbaaabbcbccccdadbdaa
+dcdadbaaadacdabbdbcbdacaabbdbcaadddcbdbacdbaccaddadbdacdbcbcdbadbaadaaccdccdacdaddcaadbccbdbacacdcaaaabac
+cabbcdbabbaaabbddbbccbbdaababdbaddabaacbbabcdbacabcadabdaaadadcbdaddcbacbdaacbcccbcdcac
+cbdccacdbacaaabccbdddacdaadcbbdcbbabcddbdcbdabbbbccddccdacbd
+adbcbdccbdaddcabbcacddacdbdbbbbdbdbacbddbaaaaccdbabadcdddbdccddcdbcadba
+bdaabdbcbcacbdabdcbdadbdcbbabdbcbcdbdaaccadcabacabbcdadada
+caadddcdbbdddbbcbcdccbacccbabcbcdddbcbacbcbbddacdaaadacbdbacbdadcdaadbacbaaabbddcdcdbbb
+aabcdcabddbcddcaacbaaadabdbcdadacbcbaaddbaacabc
+baadaacddacaccadadacdcaabcbdbbcbabddcabbbcccaacdabcdbadbdbcddcdcbdcbbacacccddaabbaadaaadbdcdddcdccdcdca
+bbbaacbdcaabbbabbadacccdd
+aabbcddadcbcabcbdcdaadcdadbaadcaabbbdcdbaddacbaacccccbdbdadddbbbaccbccbccabbbacddccdddadcaacacdcabc
+dbcbbdadabbddbadcadacbccacdabcddbbacbadcdddbbacdaca
+dddacccddc
+cbaddcacada
+dcbdcaaadcadaaabaabbaabdabddaccacaccaabaadaccddbacbbcbbacca
+cbccaaaaabadcdcabccbbbdaddcaaba
+baacdddcdada
+bcccaacbcbdccbacdbddbdddaadcababccdddbacccacbdbabbcdcddaddcdcabdaccb
+aaddcbaacdbacdcdacbddcddbddbcbcdbbdcbbcabbcdcabadcccccdaaddbccbdacabcdabadc
+bddacdbbdaacbcaaabbbbdbdacbbdaadbacccdccdaadbbcacabbcaacaacbccbaddcbbbaabdacaaabdac
+abccdacabadadddcabcbbacbcbddaadabadbaaddbbbbadabbbdbcbcbbcdccdbdbcabbbbacddcb
+bccbdacbccaabcabbbcdbdccccadaacbddcaacdacbbaddddcbbbbabbcdbaaaadadbaacaabdddbacbbbbccaadbcdabacaadaaaaa
+cabadbbdcdddbcbdadacdcdaadbaabacbcbaacbabcbbcdcddcbad
+cbccdddabdddacdddccdccbbbbcd
+bdbddcddaadabaacccacdcaddbbbdcdbddaddbdbabccdbdccadbbbdacbbbbcacaabbbcdaabacabbdbaacbbacddabcdd
+dbaccbadcbbccbdcbbbdccacccadaadbacddabcaaadbcbccddacdcdddabbcabaabbcdadaccadcbbcbbcab
+dacbdbdcbddbdccccbacbbbcaaaccbcdccdccdaccdcabbdaddcbdabcabbcacdaadcabbccccdbb
+bbaabcabdcbdbcbcbcbbadd
+abdbcbadcbdbdbdaaabccbcdadaabaccadadaddadddddacbccabcbbdabccdabcbabadcd
+acaadbdaadcaabacdcabdabcdccdddcdadbabcdbaccababcbadbcccdaaddaddabdaddcdacaabcdaddcaadccd
+cddcabdabacdcaada
+adcbacabbbcdacccadaaacbbddbabaadccbbbadbaadaadac
+cbdccbddcbbdaaabadbbdccdbcabbddabdadaddaabaacdbcbcbaacabcbbadaacdacbcdcacdbcdc
+dcdcdbabdbcbcacaaadbbdaaccbddaaaaa
+bcbbaaacaadcdabbcdcdbdcdcaadadbbcabbbbaccdabbcadcdbaadcdabccdaabcda
+dbbdbacbacadcacadbcccbcbaabadbaddacdaabbddabbccbcbdabcbbbdbabcacbcbbbbdbc
+baccabcddbabacabbcabcbdcababadbb
+cdacaaccdcccaacdbbbbbccacada
+caaccdcdcdadddabccac
+acdbaadcaaddcbcbacddcbcccdcbacaaaaababdbbdccdcdabcddacddbcbbbbbdabbcaacaabbadcaabbadbadc
+abadadbccbdcdddbccdddabcacdbdadbb
+ddbbaaabddaaacccacdabacccdbadbccdadbabcbdadabbbabdbdbcabcdcdabdaacdcb
+babdacccddddaaddbadadaaddbbdbaabbdabbbcbaabcabaaddadbaddbdddacacbbaadacbccacacddacdccddbadbcadaa
+bbdccabcabadbaddaccabccadaccdabaabaadcbddbbcddddddbadbcabadcaacbddadbbddccdcdddbacddbabbadcadcaabbbddb
+adddbdbabcadabcbadaccbddacdcacababcdacdcdbcaddbbbacb
+bbbccccaddabcccbabdbbcdccdda
+dccbaddacabaaddacabaacdaddaccdabbacbaccdcaddcabaccdddccdcbbcbaccbcbbbabbdccca
+abcbcabaabbbabbaadadbcabccbdbaacbcbacbcddbdbad
+accbabcadbcbbbdcbbcdbcddabcacbaabdccdadcacdacbbdabdacaaaadbbadcabacdaa
+ddbbacadcdaccbbcdcaadcabcdcdbdacabbbbcccbccdaadbbbbcdbcdcccddbabdacaa
+bdcdbddcaadc
+baaaaacaddbacddcbadabcdaadaaadbdbadddbcddcabbcbbcacbcca
+bbcdcdbadbcccdcdbccbdcacdbbabcbabcccddababdddadabadbcabacdbaacbcdcabccbdccddcabaaaddbcdac
+accddbcddbdbbddaaccacdddaccdbaadaaabbddbdadbdbbaaabcbbdcabaadaabaccddaaadccbdcabadbccdabdccad
+dcbbcdcbcdccaabbcbaaddacaacdcbcaccbdcbadcdaaacbccdaabb
+cccbaabbbaacacadcadaacadaaacbacccddcacaaacdacabbabbdbbadcabcddddaddddbbddadbcdbadccadacbdbdbcdbccdb
+cadacacaadbbdcccbacacbcaabdcbbabbdbacdacbcddcadcbaaccccaaadccdddabacadcddda
+acbaaddabdaaaaacaabcbdc
+bbbbaabdacbdccaadcdcbbbaaccbbddbadddcbccdaaaabccbdddbdadccad
+dacbcbbccddbbcdcaaaaacbaaccdcd
+abacbaddccdacbacdcbcdbbdaccddabbcbbcdbdccaddcbbbbbcabdadddddbdbacdadaac
+baadbabaadaacbacabccccabaadcccaaaddadbacdbdababbdabbcbcacabdadabaacacbcdccaadb
+bddcdcabbcacaacb
+bccadadbdcbbdbabaabdcbbdcbdbcbcabbbbbacccacaacbabcdbacdababbcadbcbbddcbcbabbacbadbccddab
+addcbbcacbaaaaab
+abacacbdadaccddbbddadccaabaddcabcdaacbccccbdcdbcbddcdbacbbacdabbbadcddbbca
+dbabcbaddcddacacbdcbadcdccdbcbcabadabbadcbddacadccbdacabaabccdc
+aaacbbcabbbdaabbcacdaddaccddcadcdaaacbbddaadcabcdbcacbccccaccacacbbdbaababaddbbabbcabdccbcbbbcbbbcabdadbcdc
+adadcbdbdcdbabddbacbbdccdadbbaacccacbddaababcbbb
+aaaacabaacbcabbcbbdbaacdacbcaccdbdaaadbdcbbcbbdbcbcdaacadcdccbcbcccdaccbbbddacdddbdcdcdd
+accdaddadaaadbacaaccaabcddbbcbcdbadbdddbbdcbabdbaddcaaaadaadacbddcdcbbcdcaacdacdcaccabbccdadaabbbb
+dbdccadccadabbcbdddcabbcccbbcdbcbdbdddadcdabbcccbbdbbbddcbccbc
+dabdababbddbbbabdbcdacadcbdccdbabccadbcaadddcdbadabacaabadcbcaccdbccccddadcccdcabbbaacbadddd
+cbaadcccdacbacbbbdcbccbcccdbbabbdbaaacbddcccdaacabdaaabddcdcbbaadadcddaccbdddcadbcddbabbab
+ccbdcaadbbabbbbbabdbbdabaadbcccbddccbaddbacdccdbacdcdaacaababcddbdbadbadabccdddbbddabbcbcdbcacdcabcdcc
+bbbaacddacdcabcbdccdbdadddcacabbadddcbcdbbcbdcbdddcccbdabadaddaaacacbdbabdacacaac
+abbbbdccabacaadbdacdddbbdcdbccdbddabbbbdbccacbbadccdbccbdccadbcdaaccdbdbcccdcbcbddcacdc
+ccbacddbdddabbcacdccdcdbaddcabdadadbdcacddaccdcacbdddbbbbbddcbccacdaaadadbadbd
+caaddaddcbbcdcacccdaaddbadcabacddbabdacabacdbdccccbacdcddcdadaadaaddcadddcdcdbcaccbbd
+abbdaccdbacdbbbaddbccabbcdccbddbbddcabbcddaadbcdabbddbbcdbbbbacddabbadcabbdddcabddc
+daadbacdadaacbcdaacdacadcacabcadbacddbcadbcbdcacaabdbbadadbabdabacbacbcdbcccddaccbdbdbb
+bbbbcddddaacdcdabcadbabcabbdcabcccaaadbbbbcabbbabcdbacddbbbaa
+cabccbddcabcddabbcadcadbacdcacacdbbaadbdbdbbdacacabbdbdbddbbbdbdddaaaa
+abcabdccadcacabdddbbddaddbcddadcadacdbaaadbcbbbccddbdbbacbdacbbcbaabc
+cbbbbdbddaaacbacbdad
+bccacacacbdbccaaddabbcbcaccbdccaacdbaccdacdadbbcbccbdcbbcbddcbbadddddddddddabcbcbcaadacac
+adddcaaddccabbaccccddbcdbcdaccbcdaccabbaaabacbdadbbcbdccdcaadbdbada
+cbcddcaabdacdcbadcbbacccabaccbcdaddcbbadcabadddddbcccdacdbbbdddccdcdddacbabbcacbdddaabdcbbdbabbacacabaaccc
+dbbcdcbbadadddbbbbbccaddacabdcdcaddaccdadabcdabaaccbccbbaaaaaccadcadaca
+cdabaaddbcddbcbbacdccccbdbccabcbdcbacdccdcccadbdcbcadcabddadbbccdabcdbaabcccddbdbaccbbbad
+aaccbcabddaccdcdcadabcccacccdababaacccbdbcadcbabdcbcdbcbbccbaacaaadbbadcdadddcbdbccc
+bdbbccddabccddbdddddabbbbcadadadccadddbaccbdcdcaaddccac
+cdbabcaacadcddadabdcadaddaadddcaadbcdccdcc
+bcabbcbcadaaabaabbadbdadbccdadaacdddbaadbbbadbdbcddcaaccbc
+acaddcdbcbadcbcbacacaccbdaabcbadbcccaababaaacaddaddcadadcdacdbccccdadc
+acababccdbadddaabcacdabcacbcbcbadcbdbdadbccbabbbaccabccdadacdddcdaa
+adabadcbdbcbdcdadbad
+ddadcacdaacccadccdbabacaaacacbccadcaaabaccacaacbadabccdadbdc
+bddbbcccbabdccbdbcabdbbadadda
+bcaacadbcaabbdcddbcdbdabaccadcadbabbaacddbcbbcddcbdcabccacbbcbcddabbacdbdacbddddbdacdcbcdacaabbcdaaabcbcbaa
+bbdddaabababdacdadcaabbdcdacdbbcbaabdcdaabaa
+ddadaccdbcacabdbabbacaadaabdabbdbbcccdbcddcacbdcdcbdbcadccabcbdccccccbc
+adaaaadacabddacbccaccaabdbabacbbcbacbcadabcba
+ddacddadbdbacbbacacdaccadaccddaaccbdacacbdcddbcaacadcccadcdbbbdcacabba
+cbcdddcbdacdaddbdabbacaacbdaaddaaddcacddbdbadabadbcbabadabbbbdbabdbdaadabcdcdbbbbbabcabadbadbbcdcbdcdcbb
+bdcdbcddcdccbcbaaabaacaddacbaacddddbbdaaccdaacdbcccbcaabccbccabbbcab
+adccbdbcabbb
+badddcccddcabcdaddadcaacdccaddbababadcbdcbcacbca
+dcbbdddcbdbdbadccdddcbaddaddadabcbddcadbdcdcccdbcacbaccaaddbaadcabdbbdbcdbdabbcabaaaadacaac
+acaaaddadadababcdabdcdc
+ccadbbddadcddbbdbabacbbcdbadaddaaddacdbaccaaddbdabcdadadcbcacbadccdcababbacddbddbbbddcddacbbc
+abcabcdbdbcbcbbbbcadbbcdcbaacdbaacbbbbdadcaabdccbadadcdcbabaabdddacbbbbaacacda
+acbbcaadbacddcdbcaadcbdadadbabcbabcadbddacadcbcadccbbaccd
+abbdadbbdadcbbbddaabaaadaaacbdacbdadcaccbaccccbbb
+daabdcbcdccbcdbaddcccbdbcdadcaccbccbdaabacdcabcbadbcdddaabbbcccbabacdacbbbdbdaaadccadbbadcdaadcbad
+aadcaaabbcaccbdabcbdbbcbcccdbbbccacdbcacccbbdbbbcccdadadbbcbcddbabaaadaddaadcdabd
+abdbdcbcccbcdccbdddadbbbacaabbbdaacadaabcadbdaaabbcaaddbbbbaaababbcacbbacadbcbddcbdcddccdddbdddcbb
+cccdccaaabdd
+dadabaadacbccdcadaddbddccbcacaacccaadacbbbabcdbbdccddbccaca
+bdadbadabbacdadbbbcd
+dccdcaccdcccbcdddccdadcbadbdcbaccaccadbdacbaaabdbccaaadabbdbbad
+bddbcbdbdbbdcababaacdbaaabbacddcdadbcaabdccccccbdbddcdbacaacbadcbcadbcdddaaadddcacabcdbbbacabdaccc
+abbccaddddadcadabbbbaccdadddbdcadbcdcddbccbdbb
+badbdcdddccdcddccbbadcbdabcdddacdbdcdaadbcddbbccbabcabbbcdcdcbaabdacd
+aababaddacddaaaddaddcdbcaabcaabbdcdbadbdabababbdbbadbabdcabcabbcaadcccdbdbabccdbabccdabcbbbaaccbdcddaca
+cdadbccbcadaddcddddccbaacdcdaaabcdbaadbbbdbab
+abadabaabddaacbadbababbbabacddccaaccdcccdbacddcbaadaaddbcacdbbddcadabdadbcbdaaccacdadccacbdcbaddbdcbbd
+dbabacbccdcdbddcdcacdcbbcdbccbbbcdcddbddaacacdcccaaaaaabbbabbcbaddbbbdcddadbbadcccdcbbcdcdabbddddcbcdca
+daccdbdaccbbcdadadabdcddbccdacabcaabbaabdcdcbdbabcbcbcbdd
+acbabdbcacabbcadcddcbcababcdbdaadcabddcacbaadacccdaddadabbbacaacdcccbabadcbbdadcbdcdcaaaaadabbddacddcddababb
+cbdcccbcdbbadbadcadacdacaccabaddcbaabaabaaadacdaabccdadddcdcbbdcabbdacbcdacbcabcddcaaadbbddaddabb
+dcddbdbdcacabdbbcacaccabbbcadaddccbacdacdcaaacbbaaacbcbbc
+caddbbccdaaacdabbbcccbbbbdbadcbbcdaadbbbcdbccddcaaaaddbdbacdcacacbdddabcddbdacdbcaaacadbdcbabb
+dcacddabdbbcdbddccdaacdcabadaadacbababbcbccaadcccacdca
+ccaddabbccdbdbaddd
+cdcdcadcabccbacbadcbdbcbbababadacbdccdcbdabbbdbbdbbbbbbabdbcd
+cbacdbcacaaaabacbccdccadacdacbabbddddbbcbbcabdcdddaddcd
+dbabcabbcacbdbbbbbaccabdbddcdbc
+cadbcdcbdbdabdaabbaccacbadcaabbcbcbcababbadbada
+dccdcddbcbacccdbdccacdbdcdaadcaacadcbdbadabdaacaa
+ccbaaaaabbbcabbbabbbccbbccabdbcdaddddbdabddbdbbbddbacbadaaccabddccdccaabdddbdbcadadacdcbaccc
+cdaadcadbba
+aabbccacdcdadabb
+ccaacdabdbdacdccddcdcccdbccbbacabbcaccbabaaaaccddadacabbccbaccd
+dcbbdacadbbdbcabccbdacbaababcdbcb
+cdcbcdadcbadabdcbcbbddaacdcabcccdcbadbbccadbadbbbbbbbdcccbdccbabaaaccaadbabcdbdaaadaccabcbabbdcc
+adcbaddcacddcdbcdbbacdaacaaacbbdcdcabacbbabac
+dbbbdacadbbabdbcaabbabbbcddadadaadabadbbcc
+dcbcbdaddabbccbaababcdcdddcbdadbdbabaccccc
+cccbabcccbdbdcaaccbdadaadacbadbddddcdabdddddbdabccccbddcddddcbdcccbbbbdccacbdadbdbdbdcbcdaa
+cabcbccbdbabbacbcaabaaaadabddadacbcddcababadcaadadbbdccbdcdaacacadcbabbcbbdddaabdbcb
+ccddbcaaccbddadbdacbdacaddacaacddcdbbdccabcda
+cdabbbcccbc
+aacbcddcaaaaadbaddddddbbcbddcacbdbbaddddcdaccadbcadbbbbbbdbbaaa
+addcbacbacdbdcccdcbcaccbacdadbcbcabccbcdcbacdddcdbbdcadcdbcbdbcbaaacbcccbbd
+dbdcabaaddabaadabcacbaacdaddabddcddcdcbadaadabacbccdbccccbdccaaacdbdbabacc
+bdbaaaccbdacbccdbabcdbdadcaddbacbcddbadcbddbcdabbdcaaacaacadaaaabacc
+cccabadacbdcbabcaaddcbacbccaadaddccaccbababcbcdcbbbccabbdccacbbcdadd
+dbdabbcacacdbbabccadbdaaddbacbadcdadcbbcbbaccdda
+ccdcddddcccddcbdbbccdcddadbabdccdbbcbaadcaa
+cdbddccdbadcdcaaacacbaadcdbcbacccacdcbcaacdccdbdcbdacccabdaacdccdcbbacbbbcdbdccbbdbadbabcbadadddbaad
+ddcabbbbccdcbcbdacacbdbddabacb
+dbdbcbdbbdcabddbccbccdbbaadabcdbdcaacdbcbcbddbabcabaddcbcbbcadaabbadaadbccadaaaaacbacdbbda
+adccccaddadcaaacbbdccabddaadcbcadcdaac
+badddbcbdacabaacacccaccdaacddbbaddcacabdaacbcddbadddd
+bbaacdbacbbdcbcddcbcadabcaadccbadcbadabacaabdcddbcbabcdaccabdcdcacbbcaccbbacdcdcaaabaad
+ddcbdcaaddcbadbcbabbddcaaccbabbbdbdcaacbbcdabcbadacddbbadacbaadbbbababdcbc
+daccbcababbbbaaaadda
+cbddbaabcdbdadddabdacdaddbdcabbcddbaadcacaccaddddadddbacaddbaabcdbccbcbbccacbbacbddddad
+adcdbaaaacaacacacbcbbdcddbabcaadbbacdadbacdbcbcbacbdadcbcbbbddccdbbcbaabbcbbcaddbddacabaacaad
+bbddbdabbbcccadbddc
+adadcabccdcdccdcbbacdbdbdbadbddcdbacdabacbcdaadbdccbccabdcdabacdcbaadabddacadccaccdbadbaccbcccacdccabbaad
+bdccddbbabbbdcaaddbaaddc
+cccaccbacbacdcccbbbabcddac
+bdddadbcabdbbadcabaaaaaccadcbcbdb
+adaaaaabadcddadcbadcbcdababcaddcabccd
+abdbcbadbbdbadacdddcbbacdbbdbaad
+acccdbdaaabdbbbadcdabbdccbd
+aadddbaacadcaacdbcdddaccdacdaadcabaccccbabccbdcbadadbbbddabb
+bcddcddabddcdbaddcbcccabaaabdbccddaaaacddcaacccccadbcbbabdcaacdadddccdbcbbddccb
+cdddbbdaaccbccdabddadcddbbdcabbdaabcdcbbbcbbcddbdcbbdabddaacbdcaabbdabbb
+dbcccabbacadaa
+bacbaccabccddcbdbaaaaacaadaaddbdadabdaadaccdcdaccaacaacaaaccbacbdabdcabdcacaadccdcd
+dadbddddcdbdccbccbababbacddccbcaacdbbbcbdabbdbcbaababaaddd
+dabdcddbbaababbbdcddbdada
+baabdabcdacdcaccdcacaabcaadcddbdaadcbdbabaccddcc
+bcbccccbdabdadaaadbcdbaddcdacbbaddabbdbdcddcdaccdcdddaaada
+ccabcbddcdddcbaaadcddbbdcdcbababbaaaccdbdaabadadbddcbdcccbbaadbadbbbbbbcaabcbcdbccbcadcacdbadcaccdccccbbac
+cdabdbaadbcb
+76 72
+cabcbacbadacccaddbddcbadbcabbadddadcdabbcdaabccbaadaaccbaadbdbbcdadbaadda
+aadaaadabadbaca
+cbcacadacaacdaacacdbbdaadacdbb
+dbdcacbccdbdcabbaabcbbcdaaadbdabacdbababcadbbddbbdabcaa
+cddcbcadaaaacabbacdcbdaccadabbcbbcbccacdadcabcbacdddddba
+dadcacadabdaaccddcdbbccaacbbdcdbbbdaacadaadcccddbaacdaddddaccbacac
+bdbcdcddbccdbddaabbbcccacccddcbdda
+aabbcdbbcdbababadaaddcba
+ccddddadabaaabbdabcabcaabcbddabacdbadbcbdbbbdacdadddadacaaacdabbcbbabbcdcad
+cabacccabacacbbbbdcaadbcbadbbccbbcbdbcacdbbbdddabcbdadaaddcbccdaaadbccdad
+dabcaabbdcabbdcd
+cbddacaacdabacccbabbcdcaacabacbcdabacbdc
+bccccabadbbcbbabbdcddcabbbbcbbcbbddbbcabcdacabcdbcbbbccdbcaccad
+caddacadbddabbdaccbaabbdcdcccdbdadaccbcabddcdddadccbaddaaacadaccaddcbddca
+daaddccadccdaacaaacccadbbbbbddbbdcad
+cdbabadcaadbddbbcadacdaabcdacbaaaaacbabcbabcabdbabbccaddacbdaacdaccbadddaccdaadbbcaabcaaa
+cdbcbbdbcbccbdbcbdddacbabcdcbccccdbcddcdacdcaaadadcbcacdaabdcccbbdaadaaccaacadad
+bdabdbdadbaaddbaabdbacbdadcbcbccbaccdcdbcaacabbaacddcaaacdc
+ddbcbbbbdcadaacbaabacacbbbbbcbabcdadbbdcacaacabbcbaccdc
+bccddbbbcbccacadadccdbddddcbdbccdcdbaccdcdbdacabbdaabdaacdcbbdbbcbcdcbbacadddcbbcbaccbcbdabddcbbdda
+addaadadbabcbbcdcbcdccbbcddcdbabddcdcdddbcdcddddbbcbcabbcdbacdbcdcaccaaaaaccacdaabb
+dbbbcbdabdccbbaabcacaaddaadbabdabbddaaaddbcbbdbcacbddbacbbadbbdabdcbcbdbbbcca
+cbddcacdadbbbddacbadcbadbaabbcbcabdddadaaadccabbddbcacaaabcddacaaacdaacdcaadcaabbbcdddddcbbcaacc
+abcdbcdbadbbccdbbacdcdddbaddcccbdcdddbbaabbdddbdbccdcbcbbbadbaaacdcddabdabcacddabbabccdcaadccbdcadda
+bacbaddbddaabbbabcbbcdbbccdaccacabcbcdacabdccc
+cbccaaabbcbccbbbdccbbacdbbaddbbdacbbbdbccaacdadbcadbdbcadaccccaaaccadaccddddcbddca
+cdadbdbdacbcacbbcadbabdbbbacbbabbc
+bdcaccaaaddadcbcbddddabb
+abbbbdbababbabbadcaacbdbcaacabaaabccdccabacbcaadaaddadcadbcbdddabbcddaaabbdaaaadddaadacbbcdaba
+abbababdcacbabcadddadbcbddbbbaaacdaadcdadadaccadabbbdadcdcacacbadbcddabaaccadbaabbbbbdadcdacb
+ddbadcbbbaadacabcacabbbbdbcdbdcbbcbcdcdaddbaccac
+adcddacccdababbdcccbababcdabdcdcbbccadcdbbcccdaaababcbacbdbbdadabdaacabad
+aaabcdbddabbcbbccbababbadbaacdcdbbbdbabcccaaaacabdcdbadbccbdbdddbcacdddbcdacadcadacacdacccdad
+bdcacdaabbacddcabacaabcddda
+cadbcadacbccaddcddcaabbaabcdcdbbdcbabcbadabaaccbadbadacbadccba
+cbbabacaaabcabcbcdbcdbcdacdaaaddddcadcccaddcaacacccabadadbdbdcabdccbcccadb
+dcadaccacddccccbcbbbcacddadcdacbabdaaadcccdcabdcacddcbcdcbacabcbdabbcbbbabbbccbadbaa
+dddbaabcdccdbbbbabbccbaccccbdbbdbadabaaaabdbcaddcbbbbbcdbdadcacbdbddabbabacaaccddbabaadacbbccdbacb
+acbbacccccadbaaaacccbcacacdcdcabccdcababdabddcccbdadbacddddcbbbcadcdbcbaabcabbdad
+dcabcccccbcbbdcbcacdbdcdccabbbbdcaaadcaacabbcabb
+ddbcbcddabdbddcbcaddcddabaccdbbadadbaaabbadbbaabbdcdababddd
+baabcccdcbccacabacacdadbdcbbadbcccbcdcddbcadddbcddcddacdbbcccbcaadcdacdadadabadabddbaaddadacdaadacdadccddbcdc
+cdddbdaacdcdaabbacbaacdddcc
+bbacbcaacbdbdaadbadbaccdbdadbabdbbbccabddbcaccdcadbadddbabddababbbabbdddacdcdbcabdc
+adccbbcabaaacbdbdbaacbdcabcbddcdbadbaadbbdaaacaaacaacbab
+dacbcdacacddcabbaacdccaccbbbbcbbbdbbbdbaaddcccbdcbbdadababcaddddaabacbcbccddabccdcccccbdcadbbab
+accbacbcdccbdbcdcbcddbcabddccbacabdbcaabbdabcadabacacdaaabcbbcbdbaacbaacacaaabbaddadbb
+cdccaccabddbacbdbccbdadadcbdaadacbddddbbccdabbccbcbabacadadacbadaadacdabbadbdbbacacdddccbbacca
+dcadbabacccacbdbaaccadbcdbcbbaddcadabdadcaaacccacabcacadccabcbbaadd
+dbabccdacbdbcddaacddbbbccbccbbddbcaaaa
+dacdbcbbcdbaaadaabcdbcbdacdacdacdbbbbacaaadbddacddc
+acbdaaddacbacbbcaddcacbcbcabbdaadbbbcacdbadadcdaacbd
+abcbcadcdddbaabaabccc
+dcadddbddbdcbaaddbadbabbcaddcccdccccaccdcabddaaacabaabdccbbbacdbbbda
+cdacadadadbacddbbdcdaadcbdccacabadacddabbdaabcbaacbadaadddcaadccbbbdadaacaddabbcddbdaccdabcaccbbcabcbccbdacbc
+dbabbaccacbdbcbaadbdcddaacaadbacacabccddabaaabdaabdccacbddabbadcaadaddccbddabdabdb
+cbcdcddcdcbbabbabcbcacdcddbbababccbdbdcb
+cdaaadbcddcdadbbddacad
+caaddbdbbadabdaaaaaaddcaccbccbaaacbadcacdddccbbaacdddddacdaba
+cdababacabddadcbdbdbcbdccdbaddbbaccbbbdacccad
+dcccbcbaddacbbcaaabbbddbdcabdadbbdcddccddacadcadcdabcbcdabbbdbdddbaaddcbaddbc
+bdaabdcaccbccdbbddadbcccacbdaaadadbdaabba
+dbbdbcddcadaabbddcacad
+abcbbadcddbaabbdaddcbbacabbcaaadda
+dbaabcabcaadcacbabddbacbdbacdabaadbdaadbadbbcbcdcacbcabbbdbbccaacaddccbdccbbabbdccaabaacbcbacdadbaa
+bbcdacbaccaacbcdacdadabddaacbdcdbbdcbdcabacabcdddccadabacadcbdccccdcdccbac
+cdbbadacbdabdddbdbbcbabddddcdabcddadcdcaabdcb
+ccbbddaabaaadadadcacccd
+cbbddcdbabccacccbdbdccbabdcdabaacbdadcacabbbbaaaccbaabdbccdababdbdcacadbaacdbcadbbccbdddbacb
+dadacabccaacbbabdcacbcabcbdccabddacab
+ddcdbbddddcadbcdacccaadcdcacabaacaacdcaadadbbdccacbbddaddadcdbaacaabcbdacbadaabdaaaacd
+dcaadcbacaaacbbdbbdcbcdadddbbcddacbbcccdbccaabdbbaccadbcabcbacbabaaacadcdccdcaabdcadcddbdaabdddbc
+cdadbbabdabdabbcbcbbbbdcbcaacdbdbcbacccdacccbabcadbba
+accddcdbcaacaaccadddcbddaacabadbadbdcdddbadddadccbbbb
+bbaccdbcccbdcdddabbacadbddadccdbbbdababaaccbcddcdbcccaaddabddddbdbbcabbadacbdcccccabdbdbcbccdabbacadbabbabbda
+ccadabbaddaacdbdcbdaabcddab
+162 47
+abaabbabbbbaaa
+bbbabaaabbbbababbbababaa
+babaaaaaababaaababbbaababbbaabbababbbbbbabbbbabbbabaaabaabbbaaaaaaaabaaaaabbbabaa
+bbbaaaabaaaaab
+abbabaabaaabbbaaaaababbbbabaaaabababbaaabababbaababbabbabaaababbaababbbabaaabababaaabbbbabababbbaaababbbbbaa
+abbabbbbbabbbababaababababbaaaaaaabbbbabababbbaaabbbbabbabb
+aaaabababbbbaabaaaaaaab
+bbabbbaabab
+aabaabbabbbababbababaababbbaabaaabababaabbbaaaabbbbbbbababbabbbabaabaaaaabababbbbaabb
+abbbaaabbaabbabbababbaaababaabbbbaaabbbbbbbabbbaaaabbaab
+abaaaaabbbbbbbaabbbabababababaabaaaaabbbbabaabbbbb
+bbbabaabaaaaababaaabbabbbbabbbbbbbabaaabbabbbbaababbbbbbabbaaaaabaabb
+aaaabbababaababaabaabb
+baabababaaababababbbabababababaaabbbbbbbbbabbabaabbbaaabaaaaaaa
+aaabbbaabbbb
+bbbbbabbbbaabaaaabbaabbabbaabbbbbbbaabbbabaaabbbbbbbbbbaaabbabaaabbaabbabab
+aaaaabbbbababbbabaaababaaaaabaabaabaabaaabaaabaabbbababbbbbaaabababbaabaaaabbbaaaababbbbbbabaaaaaaaababb
+aaaaaababbabbbbababbbaabaaaabaabbbbbaabbaabbbabbabaabbbabbbaaabbabaabaaabababbbbbabb
+babbababbbabbaaaabbaaaaaabbabbbabaabaabaaababaaabbbbabbabbaabaabaaabbbbaabbaabaabbabaaba
+baabbababbbbbbbbbbbabaabbaaababaaaaababaaaaaabbbbbaaaaaabababababbabbbaaababaababbaabaab
+bbaaabbabbbbbaabbaabababbaaaaabbaabbaabbbbbabbbabb
+aaaaababaaa
+aababbabbaabbabaaabbaababbbbaaaababaababaaaabababaaaababbbabbabbbbbaaabaaaaabaa
+abbbabbabbbaabaabababbaababaaabababbbabbbaaaaabbabaababba
+babbaaabbaaabbbabbbbaaabbaaaaaaaaabbbbbbbabbbbabbbbaaaaabbaabbabbbbaba
+bbbbaabaabbbaaabaababbabaaaababbaaa
+abbabaaabaabbbabbabaababbbbbbbabaaaabbabaaabaaabbbababbaaaabaaabbb
+abbbbbbbbbbabbaaaaaaaaaaaaabbbabaaaaaaaababababab
+babbaaabaabbbbbbabaabaaaaaabbaabbababaabababababbabaaabbbbaaabaabbaababbbaabaababaabbaaaaaaaaaaabaaa
+bbabbabbaabbaaabaaaaaaabbbababababaabbbbbabbabbbbaabbaabbaaaaaabbabbaabbbbbbabbabbaabbbabb
+abbbaababaaabbaabababbabbbbabbabbaaaaababaaababbaaaabbbaabbbbbaababbbaababaaba
+abbaaaaabbaababa
+baaabbaaaa
+bbabababababbbaabbbabaaabababbaaaaabbabaabaaaabbbabbabbaaaaaabaabbbbaabbabbaababababbaaaaaaaabbbaabab
+aaabbbaaaaaaaabbabaaaaaaaababb
+abbbbabaabbbaabbaaabbaaabbbbabbbbbbbbabbbbabbbbabbabbbaabbaababbaababaabbbababbbabbbbbaba
+bbaaabbaabaabab
+aaaabaaaba
+bbbabaabbaaabbbbbaaaabababbaabbbbaabbaba
+abaaabbaaabbbbaaabbbbbbbbbabaaababbaabbabbababbbbbabaababbbaababbbbbbbaaabbbabbabbaaaaba
+babababbbbaaabbabaabbbbaaaabaaabbaabbabbaaabbbbabbbbbbaaababbbbab
+abababbbaaabbaabbaabaabbaabbbabbaaabbbababaaaabbbababbabbaabbbbbbbbbbababbabbaabbabababbbbabaabaaabbb
+bbabbaababababbabbabbbbabbaabaabbaaaaabbbbaababbbbaabbaaabaaaababbbaaabbaabbbbaababbbaabbababbabbaaabaaabb
+aababbbabbbbbbbbbbbbabaaabbaaabaababbaabbbbaaaabbabaabaabaabbbaabaaaaaaabaaabbabbbabbbbbaabbaabbbbaabb
+bbbababbababaabaaaaabaaababaabbbbabbbabbbbaaababaabbbbbbbababababaabbabbaabaabbbaabbbaabb
+baababaabababb
+aaababaabaaaabaaaaabbbaabbabbbbababababbaaabbbabbbaababbba
+aaaaabbabbabaabababbaababbaaaabba
+aaaaaabbbaabbaaababbabbbabbbbaaaabaabaaababbababababaaabbbbbbbabbababbbabaabbabbaaabbbbaaababababaaabaab
+abbbabbbbabbbbbbabbbbabbaababb
+aababbbabababababaaababaaaaabbbabaaaaaaaaaabaaabbbbabaaaaaabaaabbabbabbaaaaababaaa
+aababababbba
+aabbbbbbababbaaabbababaaaabaabbaabaaabaabbaabaaabbabaabbbabababaaba
+aaabbaabbababbaaabbbbabaaababbbbbabaababbbababaababbbaabbabbabbbabbabbabbaaaabaaaaaaabaaababbbababbb
+bbbbababbbbbbaababbabbbbaabaabbbabbabbbaababaaababaaaa
+aaaabbaabbaaabbaabababaaa
+aabaaaaaabaabbbabbaabaabaaaabbbaabaa
+abbabbbababbbaabbbaabbaaaaaaabaaaabbababaabbababaabbbabaaaabbbbaabbabaa
+abaabaabbabaabaabbbbbbababbbba
+bbaabaabbbbaaaaabab
+babbbabbbaaaabaaababbbabababa
+bbaababababbaababbbbbbbbabaaabababbbbaababbbaabbbabba
+bbabaaabaaabbbaaaababaaabaabaaaaababbabaaabbbbbbabbbabababaabababaaaabbaaabbbaabbabbaabaabaaaaaabaab
+aaabbbabbbabbbbabbbabaaaaaabaaabaaabaaaaabaaaabababaa
+aababaabaabbbaaaaaaaaabaaabbbbababbbbbaaabaaabbaababaabbbbbaabbbbbbbbababbabababaabbbbbbbb
+bbbbaabbbababaabbbbaaaabaaabbaaabbabaaaabbbbaababababbbaaa
+baabbbabaabaabbbaababbababbbaaababaabbbaaababababbaabbbabbaabbb
+bbbaaababbbaabbabababbbbbbbabababaabbaaaabaaaaaaaababbbbabbaabbaaaabbabbbaaababab
+aaabbaabbbaabababbababbabbaabbabababbba
+aabaabbbaabbabababaaaabaababaa
+baabaaababbbbabbbbbababbaabbaababaaaaaabbbaabbbbbaaaabba
+bbabaababababbabaabbabbbaabb
+bbabbbbbaababbabbbbbbbababaabbbabbbabaabaaaaaabbaabaaabbbbabaabab
+aaaabbabaabbbababaabaabbaabbababaabababbbbaaaabaaba
+abbaaababaabaaaababbaaabbabababababaaabaababaabbbbbabaabbaaabbb
+abbaababaababaaabaababaaaabbbababbbbbabbaaaabbaaaaaabbaaaabbbaabaaaaabaabaaababbbaabbbaba
+aaaaabbaabbabaabbaaaabb
+bbbaaabaaaabaaaababaaaabaaaaabaabbbbabbbbabbbbbaaababbaaabaaabaaaaaaabababbbbaaaababbaabaaaabbbabaaababaaaab
+aabbabbbaabaaaabbbaaabbaaaabbabababaabbabbbbababbababbaabaababaabbbaabaabbbbbbba
+bbababbaabbaaabaaaaaabbbaaaaabbabbabbaabbbbbababaaaabbaaabb
+bbababbbbaabbbabbaabbbaabbababbabaabaaa
+abaabaaaaabbbbabbb
+babbbaaaabaabbaabaabaaabaaaabbbbabbabbaaabababbbbabbababaaaba
+abbaaaaaaabbbbbaababaaababaaabbaabbaaabaababaabababbabbbaabbabbaabaaaabaaabbaaaaabb
+baaaabbbabbababaaaababaaabaaaaabaabbbbbaaabababbabbbbaaaaabbbaababaaaaabaabbbababbabbbaa
+abbaaaaaaabaaabaabbbabbaabbabbaabbbbabaabbabbaaabbabaaaaababbababbabbaaabaaaaabaaababbabbaababaaabbab
+aabaaabbbbbabbbbaabbbabbababbaaaaababbaababbabbaaaababbbabbbbbbbaaabaabbb
+abbababaaaaabbaaabbaaababbabaabbabbaabbababbbabbabbabaaabababbbbbaaababababbbaabaababbbaaabbbbbbabbabbbbaa
+babbbaabaaabbbabababaabbaaaaabbbaaabbaaaaabbbaaaabbaaaaaa
+baababbabbabbababbabaabaaaabaabbbabaabbababbabbbbbaabaaabaabaaaaaaaababbbababbaabbbbaa
+bbbbabbaabbbbbbabbabbbbbabaabbbbbbabbbabbbabbbababaabbaabbbbaabbabbbbbaabaaaabaabababbaba
+baabaabbbbbabaabaabaababbabaababaabbaababbba
+baabbbbabbabaaaaab
+baabbabaaabbaabbbabbababababababbaabbabaaabbaaaabababbbbaabbabbbaaabbaababbbbbbaaaaabaababb
+babbabaabbababbababbbababababbaaabaaaabbabb
+aaabaabbbbbbbbbbabaaabaabababaaaaaaaaabbbbaaaa
+abbbaaaababbb
+babaabbbbabaaabbbbabbabaaaaabbaaaabbaabaaababbabaaaabbbbaababbbaabbbbbabbabbaaab
+abbbabaaaabbbbaaabbbaabaaababbaaababbbbaaaabaabaabbbababbaabbbabbbbaaabaaaabbbaabbbaabbbabb
+bbaabbaaaaababaabaabaaabababababaaaabababbbbbababbb
+abbbaaaababaaaabaaabaabbababaabaabbababbbabaabaaaaaaabbaaaaaa
+aabbaabbbbabaaaabababaabbaaba
+aaaabbaabaaaaaabaabbbbbbbbaaaabbabb
+ababaabbaabbaaabbabbbaaabbbbababaababaaaabaaaaabaaababbbbbbaabbbbbbabaa
+babbabbbbbaabbbababaaabbbbaaabaabbaaaabbabbbabaaaabbbaaaaabaabaabbaaaabbbaba
+ababbaababbabbaabbbabaabbbabba
+abaaaaaaabaaaaaabbbabaabaabaababbbbbbbbbbaabaaaaabaaabbabaaaaaaababbbababaabbbabbbabaabbababbba
+bbaabbbbaaabaababaabbbaaabaabaababbbbaabbbabababaabaaaaaaabaaaabababbaaabaaabbaabaabbbbbbaabbaaaabbabbbbb
+abaaabbaaabbbbaaaabbaaaabababbababbaabaaabaabbbabaabbbaaaaababbbbab
+bbaababaabbbababaaaabbabaababaabaaabbababaaaabbbababbaabaabaabbbaababaaaabaaabbbaaaabaababbaaaabbaabbbbabbaba
+abbbababaaaaabbbbabaabbabbaabbbaababaaabbbabbbbaabbbbbaaaabbbbbbbaaaabaaaa
+aaaabbabbaabaabbababaaabbabbbbababbaababaabbbbaaa
+abaaaababbbaabbabbaabbbbbbbabaaababbbbbabaaaaaabbaaabbbabaabaabaab
+aaabbbbabbbaabaaaaababbbbbbaaabb
+bbbbababaababbbaaabababbbabaaabababbaaababbbabbaaaaaaabababaabaabaababaa
+bbaaabababbbaabaabbabbbbabbaaaabbbbaaabaaababbabbbabbabaabbbbaabbabab
+aabbbbbabb
+baaabaaabbbabb
+baaabbabaababaabaabbbaa
+aabaabbbbabaaabaabbbabaaabbaaababbababbaabaaabbababaabaababaaaaaaaabbababbabbaabbbababaabbbab
+bbaaabaabaaabababaaaabbaaaaababbaaabbabababbabbbbbbabbbbabbbabaaabbabaaabaabbbbaababbaabbb
+abbabbbbabbaababaabaaaaabaaabbabbaabaaababbaaaababababaababbaaa
+abbaabbbbbabbabaaaababaaababbbbabbbbbaabbaaaaaabaaabbabbbbbbbaaabbbbbbbabababaaaa
+ababbaaaabbbaababbbabababababaaababbbaaaaabaabaabb
+aabbbabbbabaabbbba
+aaabaabababbaaaabbaababbabababaaaabbababbbabaabbbbabbaaababbbbbabbaaaaabbababb
+bbababbbbbababababbbbababbbbaaaaabbbbbbbaaaaaabbabaaaaaaaaaabaaaababababaaaabaababbabaaaabb
+aababbababaaaaabaaaaaabbababbbbababbababbaabbaaabbba
+bbaaaaabbbb
+aabababbbbaababbaaabaaabbbbbbaaaabbbbbbabbbabaaababbbabba
+baabbbbaabaaabbaabaabaabaabbaabbbabbbabaaaaabbaabaaaaaba
+aaaaaaaaabbaabababababbbbbbbbaaabbbbabbaaabbbaabbbaabababbbbbabbbbbababab
+baabaabbbbbbbbbaabaabbabbbaaaaaaababababbaaaaaabbaaaaabbabaaaaaaababbbbabbaaabababbbbbabaaaaba
+bbbababbaabbbababbabbbbbbbababbbbabababbbabbbaaabbabbbabaaabababbbabbbbbbbabbaabbaabbabbabbbb
+babbabaaaabbbbaabbabbbbabbaabaabaabaabbbabaabaaaaabaaababab
+aaaabaababbaababababbabaaabababbbbbbbaabbaab
+abbbaabbabaaababababbabababbbaabababbaaa
+babababbbbbbabbaaabaabaabaabbababbabaaababababaab
+aaababbaaa
+abaababbaabbabbbbaaabababbabbbbaabababbbbbabaaabaababbabababbbaaabaaababbbbbbaaaa
+abbbbbabaabbbaabbbaaaabaaaaabbbabbabaabbbaabaabbabaaaabbababaabbbbababbbbaaaabaabaabbb
+bbbaabbbabaabbabbabaaaaaaabbaaabbaaaabaaabbaabbaababbbbbabbabbaaaababaaabbaabaaabbaababbbaabbbab
+aaaaaaaaaaaababbbbbabbbbbabaa
+aaaabbbbaabababbaaabbaabbbaababbbbbbbabbbabbababbbbaababbbbbabababbbaaabbaaab
+aaaaaabbabbabbaaaabaabbaababaaaabbbaaabaabbaabbaabbbbabbbbbababbbbaabbbbabb
+aaabaaabbbbbbbbbbbaabaaaaaaaabbbababaaabbbbabaaaabbbabbaa
+bbbaabaabbbaaabbbaabaaabaab
+aabbabbbbbbaaaabbbbbabaaaababbaabb
+aaaaabbbbbaaabaaaababababaabababbbbaaabaaabbbbbbbbaaaabbaabaaabaaaaaababbbbbbaabbbbbbb
+babbbabbababbbbb
+babbbabbaabbbabbabbbaabbbaaaabbbabaabababbbabaabbabbaabbbaba
+abbaabbaabaaababbbbaababbbaabbaaaaabaaababaaabbbaab
+aaabaaabababbbababbbbbbbbbabbaababbbabaabbab
+aaabaaaaabbbababbaaaabababababbababaabaabbabbbaabbbbbababaaba
+babbbbabababbaabbabaabb
+baababaababbabaaaaabaabbb
+abababbbbabbaababbbaabbbababba
+bbabaabbbaaaaaaabaaaabbaabbaabbabbaabbaaaaababbaaaabbbbbaababbaaaabaaababababaabbaaaabbbbbabaabbaaaa
+bbaaaaaabababaabbbabbbaaabaabaabbbbaaaaabaaaabbbabbbaba
+bbabaaaaaabbaaaba
+bbabababbaabaabaaaabbaabaaabbaaaaaaaabbabbbbbaaaaabaabbbabbbbabbaabbabbbbabbabbabbbaabbbabbaab
+baaaabbaabbbaaababaabbbaaabbabbabbbabbaaaabbaaaaababaabaaababbbbbbb
+84 56
+bcaababaccabcbcabcbacacabbaaabccababcccbccbbbbbbaccbacaccabaaaabbbaacabbcaaaccaabcbabcabba
+aabaacacabacaabbaaccabaaccaccaac
+caacbacbbcaabcacccccbccbcbcbcccc
+bbbbcaaaccccbcaacabbaaccbabbcaabaccaccccbacacbaccacbcbaaacaaaacbc
+bbbaabcbcbbcaccbbabbbacbcabcaacaccabcabbc
+ccaabbaccacaabaccaaaacbaacbaaacacbcaabaa
+caccacccacaacba
+acabbcbaabaaaabbaaccb
+bacaabaaba
+bccbabbaaccbcabbcaccbaacaaacbaaacab
+abbbbbccbbcbccccbabbcacabbbbbbccbbcaa
+aaacacaaccccbbcbaa
+cacbcbabaaabbabbabbcbcbcccaca
+accccacacabbaacab
+cbaaacacaacbcaaccacaabcbababcbbbbabaabbbacbcacbaacbaabbbbabbaacbccbccccbacaa
+accbcaccabbacccccbcccabccbacacaaababcbbaabcccacbcbbbccbbba
+caaababaccbaaababbacaabbaccbaabccaaccacabcacbca
+cabacccaaabccbcbbacbaaaaacccab
+abccbcbcaabbaabaaaacbcaccbcbcbababccccbccccaa
+abbababacbbbccccaab
+aacccabaababcabababbbabcbbccaaaababaaaacbaaaacacaacbcaaaacaaacbaccaabbaabbbbb
+acbacacabcbcbccbacabbccbbccbbaacaabcbcbacbaaaacccaacaccbacb
+cccbcbccabbcabacccbaacccbcbbabbbbaabbabbbaccbaabcbaaaaaacaccccababbcbccabbbcbcccacbbccbbacbabbbccc
+cabcbcbcabaaaacbbcbabbcbcbccbcacaaabbacacababbcaaaaabcbcbcaaaccaabaabbacbacbcabccbacbbca
+acaacbbccccaabbcacaaabccccabacbbbccbccacbbbacacacabcbccbccabccbbcaababccbabbababaaccabaaaaabcaacccccbca
+babbbcbbbbbcacacaccacabaabaaaccbbbbbbcccbcbbccaaaaccbccaababccbababccbcbacbbabaa
+bcbacbcbaacacacacbbcaacbbaababaccaccaacbabcaccccacacaaaaaacacbbcacaaaaaba
+cbcbbaabcbaacbcbcab
+ccbaacaacbbbcacbacbcaccabbcbbbacaaccbccaababacaaaabccccabcabbcccbcbca
+cabbccccaabaabcccabccaaacacbbabcaabcbcaaacaabacabcbcbcaaa
+cacabbbccbbabcbbacbccababacabbaacbcacccaacbbbaabcccac
+cbbaaabcbacbabaacaccacacccab
+acbaccbcccbaabccacabcacbccccaccabcbcbacbbaabbbbcbaaaaabababcbbbcbacccbcbcbabbcbaaaacaaabcaaabcac
+baacacaaab
+aacbcabbcacacbcaabccbbbbbaaccacb
+acaaaccbcbcccaaccabbbaacbbcbcbcbcbbccaccccbaaccaaaccbccbccbbbcacacabccaaacaccacbaaabcbcaabcccccccaccabb
+aacaabcbabbaacbbccaccaabcccbcacaaacbbcbcabcbcaccacbbaa
+cbcacbbabbaccba
+ccbcbcaaacbbccbaacbbbacbabaabcccababbabcbcacbbcabaabbbbcacaaacaacacbbbcbabbababcbcbccabbcacbabb
+aaccbcaaaabbcabbaccbccabbbbcbabaabbacbbabcbbbbabcabbbcbaacbbcaaaccbcacbbacabaccacacacabbcacac
+bacbbcaacabcccaacccabcccabaaaacccbbccabbcabbabccbaabaccbccacaaccbabccbbbbccbaababbcbbabcaacbcacbb
+bbacabcbabcccabbbbbaaababbbbabcaccbcabbabccaacbbbabbbaccbbbacca
+bbabbbcbcbcaababccbbbacbcaccbabcacabaccabcbacbabcaacbabbbcacccbbccaabbcbcaaaaabacbcbbb
+baaacbcccbbcbccaaaacacaababccabbbccccbaababbaaabcaaccccaacbacaaabcbabcccccaccbbbcabbcbbbabb
+baaacccaaabaccbaaabcbcccbccbabccccbcbbbccbabacbacbbccc
+aaacacacbaacccaaabbbccbccaaacbbbbbbabccccaaaccccabbcbbacababaabbaccbabbbbcbbbc
+abbbccbcabbacccbbbbcabccbaccbacbababbcbbcacaccacccbbcbbccaaacccaccbc
+aaccababaaaccccbbbbab
+bbccbcabcababcbccacc
+babbaaccacabbacccbacaaacacaccabbacaabcbcbcbcbcbacbccabccbbbaaaaaccbccacbbbacbbbccabaccbcbabaabcccbaaabbaa
+aacaaaabcaaaacbcbaacbbaabaaacccbca
+aabccbccabbacbbaaaccccbbcbababcbbbacaacabb
+bbccccabacbaabacacaacbbcacbbababbcaccbaabacaccbacbacbcaacabbbacbabbcbcbbbba
+bbcbbcabbbbcaaccaccbaacbcaccbb
+bccabcaaaaccaccccaccbbcbacbbbabbcaabaacabc
+caaaaaabcccbaacaaaaabacbcacabcabaacbbcccbbcacaaccbaacbbcbbcbaccbcbaacaabaaccb
+bacccbcabbccbabccbccccacccbbacaaaaacbabacaaababbbabaabcccaacbcaaabaaccbcbcbbbbbbbcaacbcb
+aaabaacbaccabaaaaccbaccbcabbbcccbcaccbaccbbcbcbacaca
+bcabaaabcbbaacccbbaacbacabbcccccbaaaabbabbabc
+bbaacaccccacbacbabbbccccbbbabcacababbccaacbcabcabccbacc
+ccccbaacabaacacbccaacacbbbbcccabaaaacbabbababcccaacacabaabaccbaacbbbbccbbaabbabaaccc
+aabcccbabbcbaaaabcabbcabbaccbbbacbccbcabbbacaccacbbcccbaacccb
+aaaaacabbbabacbcaacaccacbaaabccbcbababcacacbcaaccabcbbacbbabbaabbbbcacbacabbcc
+abcbaaccabbabcabacbcacba
+accacbcbaaaaccccccaaaabcbbbaaaabbbaaaa
+aacbcbababbacaccbcabaccbbbcbbbcccbbccaaba
+ccabcbaababaacaccbcacbaaacccababcaacaaaccabcabaaccaaaccacbaabccbbbacbbcaccbacccbbbcacbc
+baaaaccabbabccbbbbcaccbbccbbaabcabbaccaabcccabbaabaaaaaccbcaaaabacc
+abbcaabcababbaabbaccccabaabbcccbbccaabacbabaaaaaaaaabcabacbaaccbaabbbcccccbbcbcb
+abccbabaababcbbbbabbccbaabaccbabbbaabcccbcaaaabaccbbbbcaabbbcacaccaacbaabacb
+bcaccbcabcbbacbcccbccbabcbbbbaaabcbcacabcbaccbaacacabcbaaaaccaabcabacacbcacaacacbabbcbcbccacacacbab
+cabccaaccaacbcccababcabcababbcbccbcccaaacccabbcccccacacbabaaccccacbcbbcbbaaaabccabaabaacaaaccbcacaabaabcbcac
+bbcacababbbccacbcbbcbaaacaccacbaababacaababbccaaacabaccbbbbcbaaba
+acbcbccbbccacabcabacbbbcba
+bbcbababacabcabbbabbccbacbacacbcabcabcaacaaaaaaaacacabcaaccacbaaaabbcbaabc
+abbaacaaaaaabcbbcbaaaaba
+babcaacacaababbbabbcacbaccbcababccbaaaaaccaabcabcaabaacacbccbabc
+ccabcabaabccbba
+ccbacacabaccbccaaaabcbaccaaccaabbcaababcbcccbacabbbbbbacabbcabcbbccbbcaaccbcaacbcccababccccbaaabbaccaccbcbc
+abcbaababcbbccbbcbabbbaaabbbbbaabcbabbccbcbaccabca
+bbbababcbacbaabcabbabcbbacbaba
+babbccbacbaaabbacbbababbcaabb
+abacbabbcabac
+aabbbcccabbcabcacbaabbccbbccaccbbacabbcbbbacaacc
+293 200
+abaababbbaaaaaab
+babbaaabbabbaaaaa
+ababbbbabbbbbabbaabaabbbabbabbbbbbbbaabaaabaaaaaabaabaaabbbbbaaaaaaaaababababbaabbabbbbaaaaaabab
+bbaaaaabbaaaaaababaabaaabababbbaabababbabababbaabbbaaaaabbabaabbbbabbabaabbababbabbaababbababaaabbb
+babbbbaabaabaabaaabaabaabbbaaaaabbbaabbaabbabbaaabbaabbaaaaaaabbababaaaabbaabababababbbbbaabbbbb
+bbaaabbbbaabbabbbaabbabbabababbbbbbbbabbaaabbbaaabbbabbabbbababaaaaabbbaabbaa
+babaababbabbbaaabbbbaabbbbbbbbbabbbbbbbabaaabbabaaaaabbababaaabbabbbaaabaaaaabbaaabbaabbabbbbbaababbbbaab
+baaaabaabbababbbaaabbbbbbb
+baaababbaabbbaaabbaababaaa
+babbbabababbbaababbaabbabaaaaaabbabbbaaabbbabbbabbbbabbabbaabaababbbbaabaab
+abbaabababaaabbabaabababbbbababbbababb
+bbbbaaabbaaaaaabaabababbaabbbbbabbbbbbbabbaabbaaabaaababaaabababaa
+baaaabaababaaababbbaaaabbaaabaabab
+bbbbbabbbbaabbbabbaabbaabbbbaabbaaaabbabbbaaabbbabaaaabb
+baaababbabbbbbabaaababababbbaaaabbaaabbbaabababaaabbaaaabababaaababbabaaaabbbbbbabbaabbbabaaa
+bbabbbbbbaabbaabbaabbbbbaaabbaaabbabaabaaaabaaabaaabaaabaaaaaabbaabbbbbaaabbaaaababbbbaababbabaaaababaabbb
+aabaabbaababbabbbbabbababbbbabbababaaabaa
+aabbbbbbabaaabaaabbaaabaaabaaababbbaabbabbb
+bbbaabbbabaabbaabbbbabaaabbabbbbbbbaaabb
+bbabbbbabababaabababaabbabab
+abababaabaaabbaaaabbaaa
+babbaabbbaabbabaababaaaaaaaaaabababbabaaaaaaaabbbababbaaabbabbababbbabbbabbaaababbbbbbabbbabaabbaabbbaaaabb
+bbbbabbaabbbaaababbbbaaababbaaabaaaaabbabbbaaabbbbbaaababaababaabaaaabba
+bbaaababbaababbbbbbbabbabbbbabbabbbbaabababbaabaaabababbbabbbbbaabbbbabbabbabbb
+aabbbbaaaabbbaabbbabaaabbaabaabbbaaaaabbaaaabbabbabbaabbbbbabbaabbabbabaababaabbaaaaaababbbaaabbaabbaa
+abbbabbabbbabababbababababbbbbbaaaababbabaabbabbbabbaabaaaaababababbbabbaabababababbaabbbaabbaa
+abaaaabbbabababaababababbbbabaaba
+bbababbbbbbbaababbaaaaababbbaabbbbbbaaaabaabaabaaaaabbaababbbabbaababbaaabb
+aabababbaabbbabaabbbbabbabaaaabbbabbaababbaaababaaaabaaabbaaaabbbaababbbaabaaababaabaaaaaababababbbbbbaaabbab
+bbabbbaaababbbbaabbabaabbbaaababaabbbababaaabb
+ababaabbaaaabbbbaababaaaa
+bbabaabaababbbbbbabaabaaaaabaabbbaabaababaaaaaabbaaab
+aaaaabbbbaabbbbbbaaabbbbbaaabbabbbbababaabaaaababbbbababaabbababaabbabaaaab
+babbabbabbabaaaabaabaab
+babaaabbbabaabbba
+baaaabbbaabbabbababa
+baabbaaabaabaabaabbaabbabbabbbbbabbababaaaabbabaabbbbbbaabbaabbabaabaaaaababab
+abaabaaabbbabaabbbababaaaaabaababbbabaaabbabbabaabbbbaaaabbabaaaba
+abbaaaabaabababbbbaabbbbaaaaaabbaabbababaabbaabbbbbbbaabaababaabbbaabbbbbaaaa
+bbaaaabbbbbbaaabbbaabbaaabaabbabaabaaaabbaaaaabbaabb
+babbaabaabbabab
+babbaaaababbbabbbbababbabbbabbbaabaabaaaaaabababaaaaabbbabbababababbabbb
+bbbbbaabbababbbbaabbbbaababbaaaabbbaabbbabbaabaabbaaabaaaaababababaaabaaabbbbbb
+bbbbbabbbaabaabbabaaaabbbbbaaaabaabbab
+bbbaabbababbbbbaabaaababaabababbaabaaba
+bbaaaaaabaaabbbbbbaaabbbbabaaabbbabaaabbbaaaabababbaaa
+abaabaaabba
+babaaabaabbababababababaabbbbabababbbb
+abbbababaaabbbbbbabbabababbabbbbaaaaabaaababaaaababaaaabbaaaabaabbbbabaaaabbbaabbbbabbaabbabbaabaabbbb
+bbbaabaaabaabbbabbbaababbabbaaabbaabbaabbbabaabaaaaaaabaab
+babbbbaabaaabbbabaaabaaaaabb
+baaaabbaabbbbabbaababababbbbbababababbbabaaabbbbbbaabaabbaaaabbbbbaaaabaa
+babbaabaaababbbabaabbbabb
+abababaabbabababbabbaaaabbbbaaaabbbbbabaaabbababbabbaabababbababbbababbbbabaaababbbabbbaabbbbbaab
+bbbaaaaabbbbaabaaabbaabbababbbbabbabbababbbbaabbabbbaababbbabaaababa
+baaabaaaabbbaababbbbbabbabbabbaabaaabba
+baabaaaabbbbbbabbbabbbaaaaababbbbbaaaaabbbaaaaaaaaaababaaabbbaaabbbbbaaaaaa
+aabbbaaabbbbbabbbbababababbabaaaabaaaabbaaabaabbbbaaaaabbbbbbbbbbbaabaaaaaaa
+aabbbaabbaaaaabaababbbbaabbaabaaabbbbbbaaabbabbaababaabbaaabbbaaabbaababaababba
+abbaabaabbbabaaaababbbaababaaaaaabb
+aaaababbbaabaaaaaabbaaababaabaaaababbbaaabaabaaaabbbbabbbabbbbaabbaababb
+bbaabaababbabbbabbaaabbaabaababaaabbbbbaaababbaaabaabbbabbaa
+babbaaaaabbaaabaaaaababbbbaabaaaa
+baaaabbaabaaaaabbbabbbbaaaaaaaaaabababbbaaaabbbbabaaabbabbbabbaaaaabbbbabbaabbb
+bbaaaaaabbbbabbbabba
+aababbabbbbbbbbaaaabaaaabbabbbbbbbbaaabbbabbbaaabaabbbbaaababbaaaaaabbbabbbabbbbabbaaabbb
+baaabbaabbaaabaabbabbbbaaaaabbbbbba
+bbbbaabaaabaababbbaabaaaaabaaaaabbabaaabbbaaaaabbababaaab
+abbaaaababbababbbbbaaaaaabbaaaaaabbbaabaaabababababaaababbababbaaaaabbbbabbbabaaaababbaabaabbaaaaaaa
+bbaababbbaababababbbabaaaaaabbabaabaaaaababbaabbbabbaaabaabaababaaababbbbabbaabbbaaaabababbabaabab
+bbbababbaababbbabbabbaaabbabbaababbaaabbaabbbbaabbbabbabbbb
+babbabbbbbbbb
+bbbabaabbbbabbbaababa
+aabbabaababbababbbbaabbaabaabbaaabbbbababaabbaabbbbbaabb
+baaaabbbababaabbbaaaabbabbbababaaaabbabbbbabbbaabbbabbbbbbbabbabaaabbabbbbbbababa
+aaaababbbbaabaabbbbbbabaabbbabbbbaabbbbb
+baabbbaabbabbbbabbbbbabbaabaaaaabaaabbabbbabbabaaaaaaaabbbaababaaaabbbbbbababaabbabbbbaabbaababbabbabbaaabab
+abbbbbbaababbbbaabbbabbbaababaabbbabaabaaababbabbbababbaaabbabbabbbaabbababaabaaabbbabaabaa
+abbaaabbbabbababababbaaaabbbabababbaaabaabbabbbaaabaaaaaaabbbababaabbbabbabbaaaababaabaaaabbbbbbabbbaba
+aabaabbbbbaaabbaabbaaaaabbaababbabaabbaababaaaa
+abbbbabaababaabbabbaababaaaabbbaaabbbbabaaaababbbbabbbabaabbaabbabaaabaaaab
+abbbababaaabbbaaaab
+bbabbabaabbabaabababbaabaabbbbbbaaaa
+ababbabbabbbbbbababaaabbaaaaaabbababaaabbbaabbbabbbaaaabababababbaabbaaba
+bbbbaaababbbaaabaaaababaaabaaababbbaabaaabaaabbbbbabbaabbbbbbbbababbb
+bbbaaabaabbaaaaababaaaaabaabaaaabaaabbbaaaaabaabaabbaabaabaabababbaabaaba
+aabaabababbaaaaaaaaaaabaaaaabbbbbabbabababbabbabbaaabbbbbbabbabaabbabaaaababb
+bbabaababbabbabbabbaaaaabbbbbbbbaabbaabbaaaabbbabbabbabbaaabaaabbabaaabababbaababbbbaabaabaaaba
+babbbabbababbbaaaababbabbbbbabbabbbabbbaaaabbabaaabbabaaaaa
+bbaabbbaaaaabbbaaabbbbabaaabaabbaabbabbbaababbaababbbbabbaaaabaabbaabba
+bbbbbaaababbbaabbabaaaabbabbbbabababbbbaabbbbbaabab
+babaaaaababbaabbaababaabbbbbbbbaabbbaaaaaaaaaabaabaabbabbabaaabbbabbbaabbaabbbbabbaab
+bbbbbbabbbaaaa
+aaabbaaabbaabbabbbabbbbbbbbaaabaabbabbbabbabaaaaaaabbbaaabaabbabbbaaabaaaaabbaababbbaaaabbbbaabaaba
+aaaabbabaaabbbaaabaaabaaaaaabab
+aabbaaabbbabbabbaaabaabaaaababababbabbaabaaaaaabaaabbbbbbbabbbbbbbbababaaababbabbbbbb
+babbbbaababaabaabbabbbbbbabaaaaaaabaabbaabaaabbababbbbbbababbbabaaaaaabbbababbbbaabbaabbabaaab
+baabbbbaabbabbaaaaabbbabbaabaababababbbbababbaabaabbaaabbb
+abbbaabbbababaaabbbbbaaababb
+bbababbbbbababbabababababababaabaabbabbaaaaabbbaababaaabbbabbaababaababaabababaaaababbbbbbabaa
+aabbabaaabababbbababa
+aaaaaabbbaababaaaba
+abbbbabbbbaabbaaaababaaabaaaaaaabbb
+baabbbabbabababaab
+abbaaabbaabbababbbaaabbabaaaab
+aabbbbaabaaabbabababababaaaabaababbbababbbaaab
+baaabbaabbbabaaababbabbabaaabaaabaabbaaaaaaabbbbbbabbbbaabbaabbaaaabbbabba
+aabbbbbabbbaabaaaaabababbbababababababbabaabbbabbbabaabbaaabbaaabbbaababbbbaaab
+abbbbaabbbbbbaabbabbbbbbaaaabbabababaaaaaababbbbabbbabaababbaaaabaaaaabbabaabbbbaabaabababbbababa
+bbbabbbbabbbabaabbbaaabbaabbabbbbabababbaaaabbbbaababbabbaabbaabaaababbabaaaababbababba
+bababababbbababbbbbbbbbababababababbbbbbbbbbbbabaabaaababbbaaaaaaaaabbbaabaabbbbbbabaaaa
+aabaabbabaaabbababbababbaababbbababbaabaabababbaabbaabaabbbaaaaaab
+aabbaaaaabaaaaaaaaabbaabaaabbbabaabbababbaaaaaababbbaabaaabbbabab
+bbaabaaaaabbbbabbbabbbbbaaaabababaaaaababbbbbabbbbbbabbabaaaaaaba
+bbbabbbbaabbababbbbbbbaaaaabbababbaabbbaaaaaa
+baaaabaababaaaaaababababaabaaaaaaaabaabbbaaab
+baabbaabaabbbaabaaabaa
+baaabbbbbbbbaabbbbaabaaabbbabbbbbbaababaaaababb
+bbbabbabbbbbaababbaaababaabaabaaaaabbbabbbabbabbaabbaabaabbaaab
+abaaaaaabbaabbabbababbbaaabbabaababaabbbbbbbaabaabbabbbbaabbbbaaaabbabbaaababbbaaaaaaaaababbbabaaba
+baaaaabaaaaaaabbbaabbababbababbaaaabbbbbbbabbbb
+babaaabbababaaaaabaaaaaaaaaabbababbaabaaababaabbabaaaaaaabbabbbababba
+baaaabaabbbabaaababbbaaaaaaababbaaababbaaaaaaabaaaabbaabbaabbbaaababbbaabbbb
+aaaaaaaaabbaabababaaababababababbabbaabababbbb
+bbabbababaabaaaaababababaabbaba
+baabababbbbaababababababbbabaabbbbaaaabbaaaaabaabaaabbab
+babbabbabaabbbbbaaaaaaaababbbbbbbbaaaaabababbaaabbabbaabbbaababbbabaababbaaabbaababaabbbbaaa
+babbbaaababbababbbaaabbba
+babaaaababababbaabbabaabaaaababababaaaaaababa
+ababaaaabaabaabaaabbbaababaabababbbabbbbbabbabbbbbabbbabaaabababbabbbabaaaabb
+bbbaaabbbbabbbbbaaabbababaabaababaababaaaabababbaaababaaaaabaaaabbaaaababaabbbababbbaaaaaabaaa
+bbbaababbbbaaabaaababbbbbbaababababaaaabbababaaaaabbbabbbabbbbaaaabbabaabba
+bababaabaabbbababbbbababbaaabbaaababbbabbbaababbaaabbabbaaabaababbbabbbab
+aaaaabbbaaabbababbaababaabbaaaaabbbaababaabbbbbbbbbabbabbabaaabaabaaabaabababababbabaabbbba
+aaababbbbbaababbbbabbababaaabbbbaaabbbaaaabaababbabbabbb
+ababaaababbabbbaaaabbbbbbbbaabaabaabaaba
+aababbabaaabbbabbbbabbababbbbaaabbaababbabaaabbbbbabbbbbbaabababbbb
+abbbbbabbbaaaabaabaaabbbabbaaaabbbb
+aabbbaababbaabbbaabaaaaaaaa
+aaabbabbaaabbbabaaaababbbbbbabbabbabaaababbababbbbababbababbabbaaababa
+baabaaabbaaaabbababbbaabababbabababbbbbabbbba
+bbaabbbaaaabbaabbabababbaabbbabaaabbabb
+aaaaabbabbaaababaababaaabbabbbbbbbbaabbaaabbabbabbabbbbabbaaababaaaabbabaaaababbbbabaaabababba
+abbabaabbbabbabaa
+abbabaababbabbaaaabbbbbbbbaaaaabbbaabaaaaabbaaaabababbbababbabaababb
+aabababbaabababba
+abbababbbabbbbababaaaaabbbabababbbbbabbbbbaaaabbbaabaabbbaabababbaaababbbaababbabbbabaaba
+aaababbbbaaaaaabaabaaabaaabaabaaaaaaaabbaaaaabbbaabababbaabbbaabbabaabaaabbabaabbbbaaab
+babaaaabbabbaabaaababaababbaaaabbbabaabaabbaaabbbabbbbbbbbbaaabbbabababbbbaabbbbabbabbaaa
+bbabbbaabbbbabbbbabaabbbabaaabbbbbabaababbbbababaabbbabbbabbbbaabbaabaabbbbababaaaabbaaba
+abbbabbbabbbaaaaaabaabaaabaaaabbbabbbbbabbbaaaabbbaabbbbbabbbaababbababbabaabbaba
+bbaababaaabbabababaaaaaababaabbabbabaabbaaaaabbab
+ababbbabaaabbbabaaabbbabaababbaa
+abbbabbaaaaababbaabaaaabbbbaabbbbbaaaaabababbababa
+aabbabbababbaabbaaaabbababbabbabaabbababaaabababbabbbbbbabbaaabaaaabaabaabbaa
+aababbababbbaabbbabbabbbbaabbbbabbbbaaabaaababababbaabaaaaabbababbb
+aabbaabbaabbbaabbbbabbbaaabbabaabbbbaabb
+abbbbbbaabababaaabaabbbaabbbbbabaaaababbbbabbababaaabbaaabaaabaabaaaababaabaabbbaababb
+aabbbbbbbababbabaabbaaabbbababbabbbbaaaaaaabbbabbaaabbbaba
+abababaaaababaabbbbabaabaaaabbbbabbaaab
+babaaabaaaaaaabaaba
+ababaabbbababbbbbaaaaaaababbbabaabbaaabbbbbbababbaaaabaabaaabbbbbaaabbabbbbbababbbabba
+aabbabbababbaabaaabaaabaababaabaaaabbbbaabbb
+abbbbbbbbaaababbabbbabbabaaabbbaaababaabaaaaaaaaaabaaaaabbaaabbaa
+aaabbbaaaabababbaababba
+bbbbaaaabbabbaabbabbabbabbaaabbbaaaaaaaabbbbbbbab
+aaabaaaababaaaabbbbbaabbbbaaaabbbababaaabbbabbabbbbbbbbaaaaaababbaaaabaabaaaa
+aaabbabbbabbbbaaabbaabbaabaababbbbaabbabababbabaabbaaaababaaaabbababbbbaaababbabbbaabbbaa
+abbbbaaaabaababbbabbaababbabbabababbabaaba
+aabababbabaababbabbabababaabbbbbaaababbaabbbaaba
+bbbaaaabbbababbaaab
+bbabbaababbbabaabbabbbaabaaabaaababbaabbbbabaabbabaabbba
+aaabbaabababababba
+babbbabbaababbbbabbbbbbabbabbaabaabaaaaabaaabbaababbabbbabaabbabababbbbaababbabaabaababbbaabbbaababbbabaa
+aaaabbaabbaabaabbaabbaba
+babbababbaaaaaabaabaaaabaaab
+aabbabaabaabaababaabaabbabbaaaaaabaabbaa
+babaaaababbaaababbbbbbbabaaaaaaaaababaaaaabaaabaabbbabaaaabbbbabaababaabababaaaabbbbaabbaaabaabbaabba
+bbabaabbababbaaabbbabbaaaaabaabbaaaaaaabbabbbabaabbabaabaabaabbbaaabbbbabbbaabbabbb
+baabbbbaabaabbbbbabaaabbabbaaababbabaababbaaabaaabbabaaabbbbababbaababbabbaaaaaabbbbabababba
+baaabbbbabaabaaababbabbbabaaabababaaaabbbababb
+aabbabbaabbbaabbabbaab
+aaaaabbaaabababbabbababbaabaabaaababbaaababbaabaaabaabaaaabbabaaabaabababaaaabaaaabaabababbaaabbaaaaababa
+bbbbbbbabaabbabbbbbbbbababababaaabbaaaaabbbbaabaabbbabaaabbababaabbaaaaabbaabbabaabbaaba
+bbaaabbbbbbbaabbabbbbaabababaababababababbbaabbbbbbaaababaaaaaabbaaaabaaaabaaabb
+abbaabbbbbbbbbbaaabbaabbbbaabaaaabbbababaabaaaabbbaabbaaabababbaabaabbaaabbabbbaaabbbbbbabbababbbaabaaaaaaa
+aabaababbabaabbbbbaabbbabaaabbaaabaaaabbaaabbaab
+abaabaabbbabababaabbabbababbabaabbbaaaabbabbaaaababbb
+bbaabbabbbbbaabbaaaaabaaabbaabaabaaabaabaaabbbabbaabbbabab
+abaabbbaaaabbbababababbaabbaabbbbaaaaaaabaaabababbbaabaababbaabaabaaabaabbaabbaabbbbabaaaabbbbababb
+abaaaabaaaa
+bbbaaaabaaa
+babaababbabbaaabbabbaaababbaaabbaabbaabbbbabbabbbabbaaaabbbaabababababbaaaa
+aabbaaaabaabaaababbaabaababbbbababaababaaabbaaaaaaabbbbbbbbabbbabbabbaaaabbbaaaababbbbbbabbbbaababaaab
+bbbabaababbaaabbaaabbbbbbbbabbbbaabaabbbbaabbaaaabaabaababaabbbbbaabbbbababaabbbabaaaba
+aababababaaaaabaaaaaaaaaabbbbbbabbbaababaaabbaaaabaabab
+aaaababaabbbbbaabbbabbbabbbaababbbbbababaabbbba
+baaaabbbbbbaabbbabaababbabababbbbbbaababbbabbbbaabaabaabba
+babbbabbbabbbbaabbbbbaaaabbbbabbbbbbbbbbbaababbaaaababbbababaaabbbbbababbaaabaaaaabbaababbbbbaaaaabbabbba
+bbabbbabbbbbababbaababababaaabbbbabbaaaabaaabaabbabaaabaabbbaabaaaaaa
+baababaaaabababbbbbbbbaabbaabaaaaaabbabbaaabbababababaabbbbabaaababbbbaabbbbbbbbbaabbaab
+baaabbbbabbabbaabaabbaaabbaaabbabbbbbbaaaaaaabbababbbbbaabababaaaabbaaaabbbbbabbbaaaabbaababbb
+aaaababababbbabbbbabaaabababaaababbbaabbbbbaaaaaaababbabaaaaaabbbaaabbaaabbb
+baabbbabbbaabbababaabaaaaabbbbabaaabaabaaabbabbabbbabbbbbbaabbbababbbaaabaabbbbbaaaababaab
+ababaaabababbbaabbbbaaababbabaaaaaaabbaabaababaaab
+aabbbbabbbbaabbbbaababbbbaabaaabbabbabbabbabaabaaaaaaabababbbababbabbaabbbabaababbbbaaaabaabbabbaababaaaabbab
+aaabaaabaaabaabbaaabbabaabaaababbaabbabaabaabbabaabaaaaabbbabaababaababab
+abbbbabbababbbb
+aababaaabbaabbbaabbbabbbbaabababbbbaababbbbaba
+abbbbabbaaaaababa
+baabbbbbbabbabababababbabababbbaaaaabbabbbbbabababbaaabaaaaaaaabaabaaabaabbabbbbbbbabbaaaabab
+aaabbbaabaabaaabbbabbaaaabbbbaaababbbbabbaaabbabbbabaaaabbabababbbabababbbbaa
+abbbaabbaaabbabbaabbbbaabbbabbaaaaababbaabbaaababbbbabbbbabababbaa
+aaababbbabababbabaaaaabbabababbabbbbbaa
+bbbbabaaaaaaaabaa
+aabbbbaabbabaaababaaaabbaababbabaabbaabbbbbbbabaaaabbaabbaabaaabba
+bbbaababbbabbabbabaabbbabaabbababaabaabaaabbbababbaaabbaaaaabaaabbaaabbabaabbbabbbbbabbabaaabaaaaaababa
+abababbababbaaaabbabaababaaaaaabbabbbaabbbbbbabaababbbbababbbabbabbbaabaabaaabbabaaabbaabaababbaabab
+baabaaababababbabaabbaaaaabbaaabaaabbbbabaaaabb
+abbbaaaabaaaabaabaaabaaaabaaababbabaababaabaababbaabbababbbaabbaaabaabaabab
+bbbabbbbaabbbbbaabbbaaaaabbbbbbbbaaabaaabaabbbbabbabaababbbbbbbbbbabaaabbbabbbbbbaabbabbaaabbbbaababbaaaabbb
+aabbabbaabbbbabbbaaaababababbaabaabbbbaaaaa
+baabbabbbbbbabaaaaabaabbbaabbabaabbbababaaabbbaaaabbbaaabbbbabbbabbaabababbaaababaaaaabaabbbbaab
+baabbbbabaaaaaababaabaaaababbbabaabb
+babbbbbbbbababbbbbbaabbabbaabba
+bbbbabbabbbaabbaaabbbbababaabbbabbabbbaaabbbaaabaaaabbbbbaabbbbbbba
+aabbabbbabaaaabaababbaabbabbabaabbbaabbaabaababa
+aaabbbbababaaaaababbbaabbababbaa
+baaabaabaabbbabaaabbbabbaababbbaabbbbabbbbba
+ababbbaabaabababbabbabbabaabaabbaa
+ababbbabababaaabbabbbaabbbbbaba
+aaababaabaaaaababbbbbabaaaaaabbbaabbbbbababbaabbaaaaaabb
+abbbabaabaaaaaabaaaaaaabaaabaabbaabaab
+aabaabbbbababaabaaaaabbababaaabbaabbabaabaaabaaaabaabaabba
+aaaabbaaabaaaabbbabaaaabbbabbabaaaaabbabaababaabbaaaabababbabbbbbbbbabaaaaaabaaabaabbabbabaabbbbbaabbaabaaa
+abaaaaabaaaabbbabbabbabaabbbbabbabbbbbbbbaabbbbbababbbababbaabbabbaababbbabbaaaaaabababaabaaaaaaabbbabaaaa
+ababbabaabbaababaabababaaabaaaabaababaabaaabaaaaaaabbbaaabbaabbbaaabaaaaabaababaa
+babbbabaaabaaabbaaaababbaaaaaaabaaaaaaaabbaaabbaaaaaaabbbbababaabbbabaabababbbbbbbbabbbbbbaaaaa
+bbbaabaababaabbabbbbaababaaabaabbaabaababbaaabaaabbbbabaababbaaaaaababbbbbababbaaaabbaaabaabbbbaaa
+bbbbbaaaababaaabaabbbbbaaabbbbbbabaaaaaabaababaababaabbbaabbaaaabbbbabaabbbabba
+abbabbbaaabbabaaabaabababbbaabaabbbbaabbaaaabbbaba
+aabbbaabbbbbbbbaabbbbbbaababaaababbbaaaba
+bbbbbbbbababababaababbaabbbaaaabbabbbbababababaaaabaaabaabbaabb
+aabbbababababbbbababaabaaaabbaaaabaaaaaaaaabbaa
+aabbaabbababbbaaabbbaaaabaababbbbbabbabaabbbabaabaabbbbaabbaaaabaababaaabaabaa
+bbbababbabbabbbaaaaaaaabababababbbaabaaababbbbbbbbbaabaaabab
+bbbbbaabababaaabbbababbbabaabababaaabbbbabababababbaaaabbbbaabaababba
+aaabababababaabbbabaabbaab
+bbbabbaaaabbaababaababbabaaabababbbaaa
+aaabbbbabaabaaabbbbbbbababaaabaaabbbbbbabbbabbbabaaabaaaaaabbaaabaaabb
+baaaabaaaabbbaaaabbbbbaabbaaaaaabbbbbbabbbbbbabbbbbbabbabbbaaaba
+bbbbbbbbabaaaaabbbbab
+aabababbaaabaaababaabbbaaaabbbbbbbababbbaaaabbbaabbabbbaabbabaaaaba
+aaababbabbbabaabbbabbbbbababababbbbabbbbbaabaaaaaababbbaaaabaaabbbaababaaaaaaaabababbababbabb
+babaaaabbb
+ababbaabaaabbbabbbaaaabbaabbbbabbbaaaababbbbbababaabaabbaaaaabbabababbabbbbbab
+abbabaaabbbbbaaaaabb
+aaaaababaaabbbaaabbabaabbbaab
+aaabbbababbabaaaaabaababbbbabaaaabbab
+abbbbaaaaaaaabbaabbabbaab
+abbaabaabaaabaaabbbaabbbaaabaabaabaababbbbababbaaababbbb
+ababbbbbba
+aababaaaabaaabaaababbaaaaaaaaabaaaababbbabbabbabbbbbaaaaaaaaabaaaaabaaabbabaaabbaaaabbbaabbab
+babaabbbbababbaaaaabbbaaaabbbaaaabbabbbbbbba
+aabbbbbbabaababaabbaa
+babababaaaabaabbaaa
+babbbababbbaaaababaaaabbaaabaabbbbbbaaaababbaaaaababaabbaab
+bbaaababaabbbaaaaaabbbbbabaaabbbabbabaaababbabaaababbbaabaaabbabbabbbbbaaaaabbababbbaabbbaaabbbabab
+babbbbbbbaabbaababbaabbaabaabbbbaaabbabaab
+babbbaaabaabbbbabbaaababaaaaababbaaaaaaabaabbabbbbbbaabbbbabbbaabbbabbaaabababbabbabbaabab
+baaabaaababaabbbbbbbbabbaa
+bbabbbbbbaabbbaaabbabbbaaababbaababaabbabababb
+bbbababaabbbab
+bbaababbbbabaaabbaaababbbbaaabbbbbbbbbaabbbbbaababbbbaabaababaabbbabaaababbabbababbaaabbbabaaaabbb
+aabbbbbababaabbababbabbabbbaabb
+abbbaabbaaababbbbbbaabaabbbaabbabbaababaababbbababbbbabbaab
+abbabaabbaaaaababbaabbbaabbaaaabaabbbbabbaabbbaabaaaabbbabbbaaaaababbaaabaabbaababbaaa
+aabbaaabbaababbbbbbbababababababaabbabaaaabbaaabbbbabaaabbb
+bbaaaaaababbabaabababbbbbbabbabaabbababaaabbaaabaabbbabaabbababaabbaabbaabbbaabbbbabbabab
+aabbabbaaaaabbbabababbababaaabbaabaaabbbaaabababbabbbabbaababaabbaaaabbaabbaaaaab
+aaabaaaabaaabbbbbabbbabaabbababbaaabbabaaabbbbababb
+abaaaaabaababbaaaab
+bbaaabaabbbbbabbabba
+babaaaaabbabaababbaaabaaaa
+bbaaaaaabaaabbabaabaaaaababbbaaaababababbbabbabbabbbaaaababbaabaabaaaabaabbbaabbbabbbababbaaabb
+aaaabbbaabaaaaaaabbaaabbbbbbababaababaaa
+bbbbaababaaaabaababbbbbbaababbbaaabbbaaaaabbbbbaabab
+babbbbaabababbbbbabbabababbbaabbbbbbaaabbaabaababaaabaaaabbbbaabbaabbbbbbaaababbaaaabbaaababbbbbbbaaaabbbbbaa
+abbbbbbbbabababbabbbbaaababa
+aabbaababa
+bbbababbaaaabaabbbaaaabaabaaabaabbaabbaabaaabababbbabbababbbaaabbbbaba
+babaaaaaaaabbabbbabaababaabaaabbaaabbbaabbbabbbbbaabbaabaaaabbabaabbbaababbbaabbbbbbbba
+bbbaabbabbaaabbabaabbbbbbbabababaaaababab
+77 55
+abadbaaccdbcacadcbcdbbadccdcaaaadabad
+dbaaaccaccacaabaccbcddcccdcccbcbbcccabcdbbbcddbdaabcbabccbcbaabdbcdacdbacdacdcdddcadbaadbbcbdcadbaa
+abbbdccabc
+dcccaabdcdaaabadabdcbaaadaacbcbcdcdbdcddcaddbadadcbcbbbdcbc
+cbacdaccbdbacddadaacbbbbcacdbdcaaaddaaacadbdaccddccccbdcbbacacbbbddddccccbdbdbacabbbadb
+cbcadbacbcbacdccaccbbaaccdcacabdcbbcdaddadcbabdaacadbbbbacbaacdddbdbddabdddbbacadddcbacdccadbcdddabdcddccccbc
+dcacacccbabdddbdcbaabbadbadabadaaccbdaaddddabaddcaabdbbbbbdcdaacacbbddaddaab
+bdbadaadcbbaabdadcdcdddbcaadabacdcccabdabcaadadadcadbacbaacdacbbadacbbcbbadcddbdaccab
+dccbcdbddbdcdacccdadbccd
+adbcbaaacbccdcbdcabbdadcbdbadddbdaaccdddab
+bdbcdcadccadacbbbaaadbbdcda
+dadbababadbbabadbcdbadbaabdbcabadddbaabdaabbcaadbdcbadabdabbddba
+addabbbacaddbcbccbbdbbdbdddbcacb
+abcccdcbaccaccabaabcadaddadabbbdabcddddbcc
+dccddcdbdbbbcbcadacaccadbdbaacdccccdbbddcabbaadddadbbadcbdadcabbb
+cabdddcaaaccbcdcdab
+abbbccddaabbbdddbaaaadcbdcdadabaccadabcccaabdcddababbbbccbdabadcdcbababcaaabbdaddcdaccbbadc
+dbdaaaadacbdbcbcbadbddddddaaabcccaacbdbbbaaacaabaaaccdbadbbbc
+bcbadaaccabccacbdabbabdddacaabadbaccbdabaaddaaddacbbaaddaabdcbddccaaad
+bbcccbbcbddbcccdcdddbbdcccadbdbcddcbdbbcdcdacabcacbddd
+acaabdcbcabadddbcaacbbc
+ccdbacdbcbabbccdbcaddcdbddcacbdccacddadadcdcaaabbcbabdbbaacddcabdddaccdb
+aaddbdcdcca
+cdcbddaccddacaddbdcbdddacccccbadcdcbadbdcbaccabbdcbabaddadaabacdccbacccadcdbcdaddcdaabcaaccbcbaccdcabdcbdcdc
+bbccbdbbaadddbcccdbccbdbadbbddbbdabbadcabbaacbbbcdcccbcadaabcdcaacbdbcdcadddbcccccccddbcdc
+babbbbaccddacdaccbac
+ccccbbddbabbbccbddcdabaaccbadcdbcdbcaabcdbcbbbabdcadcbcaadccbcccabbdbcdc
+cdddcddddcaacdcdbdbadcabbabdacbdabccdcdaddbbdaabbddbaaccbcabdddbcdcaacbaccdadccadabdadccbcccadcdcbdbabdab
+bcdbdcdbcccbacbccddacdbbbdabdaccaadddabbbcaaaaabbcbabaadaddbcbdbbcbdadddabbabcddadbbbb
+ddbccbccbbbdcbcdababbdaabcccaaaaacaaabadbcdaadccbc
+bcbdabaacdacaabbdbadbcc
+bdddbdabbabadcdbbabdabdbadcadddaabcacaadbacdaabbdbaadabacd
+caacabaaacdacadcaacadbbaabcccbbddaabacbbcaadbdcaacabbddcccdcaabcaddaac
+ddabdcbbdddbcccbabbabbacacaababaadcabaaadadaacbaccdadaadcaaccbaadcbb
+dadbbbccbabdbdcadaccacbbaaacacabaacadcccdbbacbdcddcbaacdddbabadcabbbcdddbac
+aabacbdccbaadccdabbabcddcdcaddbcaadccbccbdccdcdccbbabdcaacbbbbcacdab
+acdcbabbddcaddbcbdadbdcaddbaabdbaabaadcacbdbcbdadcadccbddccbabadcabdddabadcdbca
+bcabdbaaccbcccbaaaabaabcabdacbbccccabbbb
+abcbddcdbbbcab
+ddbccaacaadcaaaadbbaacdbbbbdcdbdbcadbbbdcacadcdaddaaaacbdabdccbadbdbbccaccdbccaaad
+cddaaaccadcbaaddcadaacaadbcbacacbacbbcddacadddbcbccadaabbdadbbcdccddaaaccacbd
+bdcabcbdddbddddaaadbadbcbaddcacbaacabcaadbdcccbdcaadddccdabdabcdacdcbdbbdbdadccdbcddccbbcbbcbabdc
+dddccbbdcabaabdbacaacadcabdcc
+cdabccbdacccaaaaccdabccdabadccbbbadacdcccddddacbdbdbadadddcbcbacaccdccbd
+adcadbacdacacadaaaacaddbbbdadccbcbabdabdabbacaddaaadadbacadacaaabaabdabbc
+abdaacabaabbdabdcbacaaddbbdaadbacbdaaaabcbd
+aaadbdddaccbdcdcdcbbabcadbbdabbdaadaddcbcdacaabaacdaaaabbcaddccaa
+dcdcabccdaddaccabbaabcbadcb
+babbdbdbccacbcbcdacacaaccdaacaacacacbbcabd
+bcaddbaacdbcdddabca
+adcbaccabbbacaddbacdadaccdacbcddadccdadca
+dbcdbaaacddcaacddabdacdbbacdbdcadcadaabcddbbdadccacbdaaaabbdadccabbcbc
+dbdbcabaddbddbbacbddabddaabcc
+cbabdbbbcddabbbdbdbcaadbbdddbaaddbdacdbc
+cdaaddbaadbaabbaadcaacccddddaaccadcbdacbcaabadbbdcdacdadad
+dccaacdadbbbccbaccabcdcccdbdbabaccdbcadaabdbdaadbdcbbacdabcbbabaacdbaacbbdaabbaccaacdddbdcaabcdaaabaccda
+abaadbdadaacdbdbcbbacdadcbbdacbddcaaacbaaabcabcaccaccbadcadaccccababaddaaaaaabbcbacc
+dddacaddadadcdbcacdadcdabaaadbdddacacbdabaccbadbbdccdbabada
+cbcbbabcdbaddcdbbaadbbcdaacacabcbacabdcadabbacabccbaacbcda
+babcddbcdaccaaddddbcbcd
+aaaabbdbaccddacadaacbcbdcabcdcadbdaaabbabcdcddcbbaddaabddbbcdaddbdcdcdbcbabaaabacdadacbcbadabaaaddabdaadcbc
+abbbbacdbdcbaccabcaccdbdc
+ccabcaddadabddabdbdccdcacacadaa
+abcddabcddabddcaadccabacddabbcabdbddcddb
+aabaadcbabcbdbabaccdddacadabcbadcbacaccccddbddacc
+acaabcbcbdabdabacdddcddabdadcbaabdccbbcabcdbdbbdaccbdadcdcccdccdcdabbaabaccbcdaabcdcdaaccd
+bcadbdbcbddacdb
+cdabcababdbdcadcdaabbbdbaa
+cdbcadccbaddbddcdd
+aababcbcbacbbdbbbacccbacdaccabbacacdbacaccdbadcabcbbbbbccdcaccdcadcaabcbaccdbbdcdbacadbccddbacbdccbabdbadcdd
+dcbdaaccdcbada
+aabbaacbddaac
+dadcdccdccca
+accdbabbdaaaaccbaccabbbdddabbcbdbbcbbaadbdbddaabcbcccbaabbccbdabaaaaabcbdcccadddccccbba
+accbcabaddcabaabbdbbadbabdddacdadbcacccb
+babccaddadcbddbbcabaaadaacccaaadbbdbbcbdabcd
+baccccacdbabbddbdaddddddbdddaadacaacccab
+30 13
+baaababbababbababbaaaaabaaaaba
+abbbbbbbaaaababaaabbaba
+abbbaaaaabaaabaabbbbaaaabaaabbabbbbaba
+babaabaaabaaabbabbbbbbbbaabbabbbaaaaabbbaabbbbaab
+bababbbbbbabbabaaaa
+baabbabbaabababbbaabbbabbabbabbbbabaaaaabaabbbaababbaababaaabaaabaaaababbbbbbabaaaaaaaaabaabbaaba
+bbbbabbbbbbababaababaabaabaaabbaababbbbbbabaabaababbbababaaaaaababbbbbbbbababbababb
+babaabababbaaaaaabbbbaababbaaaaabbbabbbbbbbbabaaaabaabaaabbaabaaabbbababbababb
+bbabababbababbbaaaaabbaaaabbbabbababbaababbbbababaababbabbbbaaaabbbababbbbaabbbaabbaabbb
+babaabbaaabaaaaabaabbbaaabaaaabaabbababaabbbbba
+abbbaaabbaabbbaaaaabbaaaaaaaabbabaa
+bbabaababbabbabbbbbbbbabbabaaabbbbbababbaababaaaaabbbabbbab
+aabbaababbaaabbabbbbbababbbaabbbbaabbaaaaababaaabbabaabaaaabbab
+aaabbbbbaaabbabbbbaabaaabbaabbabbbbaabbbbbbbbbbabbbbaaaaaabbb
+abaaaabaababaabbbbbbbbbabbbaabaaaaabbbbaabbbbaaaaaabaaaababbbaaabbabbbbababbaabbba
+baaabbbababaabaaabbbabbbaaaabbbaaaabbabbbbaabbaaabaabbaabbbabbab
+bbbbbbabbbbbaaabababbaaaabababbbbbabaaababaabbbbbbbabbaaabbbabbbaaaabaabaaabbabaaababbbbaabababbb
+babbabaaabbbbabbabbabaabaaaaaaababa
+abaababaaaabbbbbbbbaaaabbbabaabaaaabababaaabababbbabaaababb
+bbbaababbbbbbaaaabaaaabbabaaababbbbbabaaaaaabbababbbabaabaaaabbbbabbababaaaababbbaabbabaaabbaababbabababbab
+aabaaababaaaaabbaaaaaabaaabbbaaaabbbabbaaabaababbabbaaaaaabbaabaababaaabab
+bbabbabbbbabaabbbabaababbaabbabbaabbbbabbabaaababbbaabaaaaaababababbbabaabbababaaaababaaabaabbbaaabb
+abababbbbaaaaaaaaaaabbbbaababbababaaaaabbbbab
+abbabbaabbbbababaaaaabaababbbaabaabaaaaaabbabaababaaaaaaaabbaaaabbbbabbbbbaaaba
+aababababaababaaaaaaaaababbabbbababbaababbabbaa
+babbabaaabbbbabaabbaabbabaaaaaabbaabababbabaabbaaaaababbbaaaaaabbbba
+aabaabbbbaaaabbabbbbbabbbaaabbababbabbaaabbbbabaaabbaaaaabababb
+bbbaababbbaaaabbbaabaabbbbabaaaabaabaabbbaabbaababbb
+baabaabbbbabbabbbbbbbbbbbbabaabababbaaabbaabb
+bbabaabbaabbbaaaabbbaaaabbababbabaabaabaaabbbbaaabbaaabbbabaaaababbbaaaaaaabbabbbabaaaabbbbbbbbabbbaababa
+207 204
+aaaaaabbabbbbaababbababbaaababaaaaabbaaababaaabbbbabababaababaaabaabbbbbababbbbbbbabbbbabbaaaababaa
+bbaababbaaaaabaaabbbaabaaababaabbbaababbba
+aaaaabbababbbababbabbabbbbbbaabbbaabbaabbbbbbbbbbabbbbaababbabbbbbbb
+aaaababbbabbaabbabaabaabbaaabaabbbbbaaaba
+babaabbbbaaaababbaabbaaaaabbbbaaabaabbbbbbaaabbbbbabababbabbaaaaabbbabb
+bbbbababaababbbabbab
+babbaaabbabbbbaaabbbbabbaaabaabababaabbababbbbaaaa
+bbbabbbbbaabaababbbbbabaaaabbaaabababbaaabaaaabbbabbbbaaabbababb
+baaabbaaabbababbaabbaaaaaabbaaaaaaababbaababbbbaaabbabaabababbbbaabbabaabbbaabaaabbbaaabaab
+babaaaabbbababbabbbbaaabbbbbaababaabbbabbbabbbbbabaaabbaaaaabaaabbab
+baabbababaabaabaaabaabaaabbbaaabbbaabbbbbbabbabaaabaaababbbbbbbbaaabbbbbaabbaabbaabbababbaabaabbbaaabbbbaa
+aabbbbabbabababbaabbbaabbbabababbbbaabbbbaabbababaaaaaaaaabbaababa
+aaaaabaabaaabaabbabbaaaabababbabbbaaabababa
+aabaaaaabbaabbbaaababababbbbaaabbaabaaaaabaaabbaaaaaaaaaaaaabbbbbaabbbbbababbbbb
+aaababaaaababbaabbbbab
+babaabbabaaaababbababaaabbabababbaabbaabaaabbbbabbbbaaabbbbaaaaaaabaabbabbbb
+babbabbaaaaabbbababb
+bbabaaaababbabaabbbbbabbaaabbaaaaabbbbbaaabababaaaaabaaabbbbaaaabbabaabbbaabbabbaabbbb
+baababbbaabbabbbbbbbabbbaabbbbaaaabbb
+aabbbaaaabbbaabaaabbaaaabbaabbaababaabbaaabbbaaabaabababababbaaabaabbab
+bbbbababbabbaaaabbbbababaaababbaaabaababaabbbbaaaaabbaabbbabbaabaaabbabababbabababaa
+babbbbbabbabaaaabaaaababbabaaabbbabaaaaababbbabaabbaaababaabbbbbbababaaaaaaaabbabbbabbba
+bbabbbbabaabbababbbbbbaabaabaabaabaababaaabb
+aabaaaabbababbabbbbbbabaaaabbbbbbbbaabaabaaabbababaaaaabba
+babaaaababbaababbaaabbabaa
+bbabaababa
+ababaaabbabbbbbabababbbbbbabbbbbaaabaabaaabbbbaabaabbabababbbbaabbabbaaabbabbbbabbabaababbaa
+bbbbbbbbbbabbbbbbbbbbabbabbaaababaaabaaaaabbbbaaabbaaababbabbaabbaabbbbabbbbabaaaababbaabbbaabbabbbbaabbbbbb
+baaabaaaaababbbbbbbbabbbbabbbbbbbbbabbabbbba
+aaabbaabaabaabaaaabbbabbbbbaaaaaaaaabbbbbabbbabbabbabbbbbbaaabbababaabaabaababbaaaaabbbaa
+aabbaabbbaabbbbbabaabaabbbbbabbbbabbaaababaaababbabb
+bbabaaababaaaaaababbbabababbbbbbaaaaabbbbbabbbaaaaabbaabbabaabaaaabbbbbabbbbababbaaaaabababaaabbbaabaabbab
+aabaabbaaaabbabbabaabbbbaaabaaaaabaabbabaaaaabbabbaababaaabbbbbaaabbbbaabaabaabbbabbaabbbaaaababbbbbbaababab
+bbaaabbaaaababbabaababbbababbbaaabbbbbabaaaaaabaaababbbbbbb
+aabababaababaabbbbbbbaababbaaababaaaaabbaaabaaabbbaaabbb
+bbbaaaababbbbaaaabababaaabaabbabbaaabbbaaabbab
+aaabaaaabbababbbbbababbbbbababbaaaaababaabbabaaabbbbababaaababababaaaabbbababba
+abaabbabbbbbbaaaabaabaaaaabaaaabbababbbabababaaabababbbbbaaabbabbabbbbababbbbaaaaaabbbaaaabbbbaa
+abbbaabbabaabbaabaabaab
+bbabbabaaabaaabababaabaabaabaaabaaaabbaabaaba
+bbaabaabbbbbabaa
+abaabbabbabaaaaaabbabbaaaabaaabaabbabbbbaabaabbbbabaaabbababbaababbbaababa
+aabaaaaaaaabbbbaaa
+bbbaabbabbaaabaabbabbbabbbbabbbbaab
+baaaabbbaabab
+aabbbbabbbaabaaabbaaaaababbbababbabaaaaaaababbabbbbaaabbabbbabbbababa
+ababbbbaabaabbabbbbbbaaaaabababbbababaaaaaaababaaababbbbabbbbaaabaabbbbaaabbbbbbabbbababaa
+bbbbbababbaabbaaabbbaabbbbaaaababbbaabbababbbaaabaabbbababbbbbbaaaabaabbaabbbbaabbbaaabbaaaaabbbabbbbba
+abbaaabbaabbabbbbbbbaabbbbbaababaaabaaabbbabbbba
+aabbaaaaaaababbaaabbbbbabaabbbabaaabababaaabbabbbbababaabbabbabbababaabaaaabbaababbbaab
+baabbbbaabbbbbabaabbbaabbababbbbababbbbababbbbbbaaabbbabbbabaa
+bbabbabbbaaaaaabababbbbabbbaabaaabbabbaababbababaabb
+abbbbababbababaabbabbababbb
+babbabaaaababbaabbabbbabbbb
+baaaaaababababaaabaaaaaaabbbabaabbbbbabbbaaabababbaaaaaabababbbaaaabaababaaababbabaabaaaabaabbaababababbaaaaa
+bababbabbaaaababbabbbbaaabbbababaaaababababbbbaababbabaababababaaabababababbbbabbbbbaabbbbababbabbababbbabbba
+bbabbaaabaababbbabaabbbbaabaaabaabbbaaabbababaababbaababaabba
+abaababaaaabbbbaaaaabbbababbaabaaabbaaabbababbaabbbbabaababaaaabaabbaaba
+abbbaabbbbaabbabaabaaaaabaaabbabbababbabaaabbbaaabbbaabababbaaabaabaaabaabab
+babbabbababbbbbaaabbbabbbbaaaababbababaaaaabaaabbbbbb
+abbbaaabbabbaabaabaaabaaaaaabbbbaabbaaaabbaaaaabbbbbabbbbbaababbbaaabaaabbbabbabbabaababbaababaabbbbbaaaab
+abababaabbaabaaabbbbaabaaaabbbaabaaababbbaabbbaa
+aaaabbaaabaabaababbbbaaabaaab
+abbbaabbbaababbaabbbbbbbabaabaabababbbaabababbbaaaabaaaaabaaaaabbaaaaabbabaaabbbbaaaaabbbbbbbbbbbabbbb
+bbababbaabaaaaabababbaaababaaabaaaaabbaaababbbbaaabbababbbabbabbbabaabaaaaba
+aabbabbbbabbb
+aaabaabaabbabaabbbababaababaabaababbababaabbbba
+abaabbbbbabbaabbabaabbabbabbabbbababaabbaabababbabbaabbaabaaabbbbbbaab
+bbbbbbbbbaaababaaaaaababaabbbabaaaaabaaaaaaabbbaaabababbbbabbbbbbabbababbaabbbabbbaaabaabbabaaaaabaabaab
+babbabababbbabbaaabbbaabaaaabbababaaabbabbbbbbaabbaaab
+baaabaababbbabaabbbbaaabbbbaaaaabaabaaaaaa
+bbababbbababbabaa
+aabaabaababaaaaaabbbbababaa
+bbbaaabbbabaaabbbbbaababbbaaaaab
+aaaabbaabbbaaabaaaabbabbb
+aaaabbbaaaababbabbbaaaababbbaabbababaaaaabaabbbaaaababbbabbbbaaabbbbbbabbaababbaabbbbaababbaabbbabbaaaab
+aaabbababbaabaaaababbabbbbbabbbaaaaabbbbbbabaaabbaaa
+abbabbbbaaaaabbbbababbb
+babababaaabbabbaabaababbaaaaabbaabaabababbbbaaabaaaaaaaaabaaaaabb
+bbbabaaababaabbabbbaaaabbaabbaaaabaaababbaababbaabbaaaaabbabaabbbbbaaaabaa
+bbbababbbabaaabaabaaaababbbaababbbaaaabaababaaaabbaabbababb
+baababbbbabaaabaaaabaabaabbbbbabbaabbaaaabbbbaabbabababbbabaabbaababaabaaaabaababbababbbabbaabababbabbababbb
+abaababbbaaabbbaabaaaaaabaababbabaaaabaabaabaaaabbaaabbabbaaaaabaaaaaaabbbbbbbbbbbabbbaababaabbababbabb
+abaaaabaabaaaabbabaaaaaaababbbabbababaaaaaabbbaaabbabbaaaaaabaaabaabbbabb
+ababaabaaababaababbaaaabbb
+abababaaabbaabaaabbbabaaaaaabaabbaaabaababaabbababababbaaabaaaaaabbbabababaaaaaabaaabaabaaabbbbba
+abbbbabaab
+bbbbabbbbabbbbbbaaaabbaabbbbabbaabbbabbabaabaaaababababa
+baaaabbabbbaabaabababbaabbbbbbaabababbaabaaaabaaaab
+aababbbbaaaabaaaabbbaabaaaaabbbabbbbbabaaabaabbbbbabaabbbb
+baaababaaabbaabaabbbbabab
+ababbaabbbaabaaababaabbabaaa
+bbaaabaaababbbababaabbabbbaabbbaaabbbbabaaaabb
+abbabbaabbbabbbabaaabbabaaaabbabb
+aabbababaabbbbabbaabaabbbbabaabaabbababbababbaabbaabbababbbaaaabbbbbabbaaaaaaaaaaabbaabbababbbabbabbab
+babaabababbbabaaabaaaaababbbababaabbbb
+babababbabaababababbaabbbbbaabbbaababbbabaaaabababaaabbbabbbaabaaaabbaaabbaaabbbabbbbbabbbbaabbaabababbbba
+baaabbbabababbaaabbbbabbaabbbbaabaabaaabaaaabbbaabaaaaaabbbaaaaaaaabbababaaaaabaaaaaaa
+aababbbbaabbabababbaaabbbbababbaabababaaaaaaaaaaabbbababaabbabbbbbbaabbbbbababbaaaabbabbabba
+aabbaaaaababaabaabbbbbbaababbbabbababbbbbabbaaaaaaaabaaa
+bbbababbbbbbbabaabbbabaaaabbbbabababababaaaa
+aaabbaaabbabbabaaaaab
+bbbabbbbaabbbbabbababbabbaababbbbabbbbaaaaaaababb
+abbabaaabbbaababbaababaaaabbabbabbabbbaabaaaaaaabaaaaababbbabbabbbababbbbaaaababaabbb
+ababaaaaaaaabaababbabababbba
+abaaaaabbbaaabaaaaabbaaaabaaaaabbabbbbbbbaaaabbbbabb
+baaaabbabaabbbabbaaababaaaaaaabbbabbbaabbabbbaaaababa
+bbabbababaaababbbbbabaaabaaba
+bbbbbbbbbaabaaabaaaaaabaabbbbbbbabbbaaaabbbbaaaaaaabbababbbbaaabbbbabbbaaaabbababbbbabaabbbaababbbaa
+bbbaaaabaaababbababbbbaababaa
+aabaaaabbaaabbabaabbabbaaabbaabaaabbaaaababaabbaabbbbbaaabaaaababbbbbabaaaabababbbbabbabbbbababaab
+aaabaabbbbabbbbaaa
+baabababbbbbabbaaaabbaaaabaababbabbabababbabbbbababbaaabbbbbbabbaabbbababaabba
+babaaaaabbbabbbbaababbbabababaabbabababbabbbaabbabbbbabbaabaaaaabbababa
+bbbaaaabaaaaaaabb
+abbbaaabaaaaaaaaabaabababababbaaabbbb
+babbabaababbaaaaabaabaaabaaabbbabbbbbaaaabababbabaabaabbababaabaaaabaabbabaabaabbbabbaa
+abbaabbbbbbabaaaaabaaaabbbabbababbababaabbbbbabaabbbbbbaababbaababbbaabb
+abbababbbbabbbbaa
+baaabbababbbbbbbbaaaabbababbbbaaaabaaaaaabbbbaaaa
+abbbbbaabbbaaabbbaababbaabbbaababaaaaaaabbbaaaabbabababaabaabaabbaabbabbaabbbbabbbbaababbb
+aaaaabbaaababaaaabbbbbaaabaabaabababbaababaaab
+babababbaabaabbbbabababbaaabbaaabaabababaabaaabbabbabbbbbabbbbabaabbaaaaaabaababa
+bbaabbaaaaabbbaabbababbbabbaabbbbabbbbbbbbbbbbabbbabaaababaabababaabbabaa
+bbbbbababaaababaaaabababbababbaabaaabbbbbbabaabbaaabbabbabaabababbbbbbbabaaabbaaababbabbbabababbbbaaabbbaa
+abbabababaababbaaabbbabbbbabaabaabbaabaabbbbbabbbbaabaabaaaaaaabbabbaaaabaaabaaaabbababbba
+bbbaabaabbaaabaabab
+aabaabaabbbababbaababbbaabbbab
+bbababbabbbaabbbba
+bbabbbabbaabababbbbbabbbabbaabaabaabaabbaaa
+bbbbbbababbbbababaaabbbbbaabbaababbababaaaaababaabbbbabbbaabababaaabbbababaaabaabbbbaabaaaabaabbbbaaabbbbba
+aaabaabaaaabbababbbabbbbbbaaabbbbbbbbbbbbaaaaaabaabbbbbaabbbabbbbbbabaababaaababbababbbbbaaabbbbbb
+bbbaabaaaaaaaabbaabaaaabbabbabaabbaabaaabbabbabaaababbabbb
+aaaabababbbaabbabbbaaabaabaabaaabbaabababbbaabbbabbbbbaaaabaaaaaa
+aabbaabbaabbbbabababbbababaaaaababaaabbaaabaababbbaa
+ababaaabbababbbabbbabbbbababbbababbbaabaa
+babaaaaababaaaabbaabbbaabbbabbaaabbbbaaabaabbaaabbbaaabaabbaabba
+baabbaababbbaabbbbaaaababaaabaaabbaaababaabaababaabbbaaababbaabbaabaaabbbaaabaaabbabbaabbbbabbbbabaabaabab
+aabbabbbaaababbbbabbabbaabbbbbaaabbbabbbbaababababbbaabbbbababbbabaababbaababbaaaababbbbbaaaaabbaaabbbabbabaa
+baaaabbaaaaaabbbbaaaaaabaabbabaaabbbbbabaabaababbbb
+abbbbbaaabbaabbbbbabaabbaabaabaabbbbaaaaabbbaaabbbbbbbaaabaabbaaaabbbbbabb
+bbabaaaabbaaabaababaabbabababbaababbabbabbbaabaaabababbbaabaababbabaabbbbbbbbbababbbabbaabbababbbbabaabaabbba
+baaaaabbabaababababbaabaabaaabbbbbababaabaabababba
+baabaaaaabbbbabbb
+baabbaaabbabbbbbbbbabbabbbbaababaa
+abbbaaabbbaabbbaaabbbaabbb
+babbaababaaaaaabbbaabbaaaabbbbababababbaabaaabaabaababaababbabbaabaaabaaaabaaaababaabbbabbbaaabaabbabbaabbbab
+bbabbbbaabbaabaaaabbbaaaaabaaa
+abbbbbabbbbaaaabaabbabbabababbbabbbabbbaaba
+ababaaaaaaaaaababbabbbaabaaaaaaababbbaaaababbabbaaababaaabbbabbbabaaababbbbaaaaaabbababb
+bbaabbaabaabbabbbaaabbaabbbaaabaabbbbaaabbaabaabaabbaaabbbbabbaaaa
+bbaaabababb
+ababbbbaabbabaaabbbaaaaaaabbabbaabbbb
+baaaaaaaabbbaaaabbaaababbbabbabaaabbaaaaaabaababaaababababbbaababbabaababaaaabaaa
+abbaabbabaaaaabbaababbbbbbbaaabbabaaaaabaabaaabbbabbbaaaaaaaabbaabbbababbabaaaaaaabbaaab
+abaaaaaaabaabaaaababbaabaabababaababaaaaaaaaabbbaabaaaaaabbababbaabaabbbbbbaabbbbbbaaaabbba
+baaabaaaababababbabbbabbabaaaabababaaaaabaaabaaaaa
+aababaaaaabaaaabaabaabbbbabbaaaababaababbbabaaaaaabbbaaabbaabaaaabbbaababbbabaabbaaaabbbabbbb
+ababbaaabaabbaabbbabbabab
+aabbbbaabaabbbbabbaaabbbbaaabbaaabaaaaababbababbba
+babbaababbbbaabaaabbaaaba
+aababbaaaabbaabaabbbaabaabaaabbaabbbababbabbbaaaaaaaaaaaabbbaababaaababab
+bbaaabbabababbabbbbbba
+aaaaabaaabbabaababbbbababaaabbabaabbbbbababbaaba
+aabaabababbaabaaaaaabbbbaaaaaabaabbbabb
+baabbbbaaabaaabaabbaababaaabaabbaaabababababbabbbbbaabbaaaaabbbabbaba
+aaaabbbaababbaaaabaaababaababbabbbaabbbab
+abaabbaaaaaaaaabbbbbbaabaababbaaaaaaaabbbabbbbbbbabbababaaabbaaaababaabaaaaabaabbbbbbaaaaaababaabbbbaababba
+bbabbbbaabbaabbbaaaaaaaaabbbaaabbbabaababbaaaababaaabaaaaaabbbabaaaaabababbbaaaaabbb
+bbabbaabbbabaaababbbbbaaaaaabababbbbbbbbbbbabababaabbaaabaababbbaaa
+bbbbbaaaaaabbaabababaa
+bbaaaababbaabbaabbabaabaabaabbbabababbababbaabaaaaaaaaabbaabbbbbbababbbaababbabbbabbbbbabbbaabaabaab
+bbbbaaabbbabbaabaaababaababbbaaa
+abbababaaaaabbaabaaaabbbbbbbbbbaabbbbbaaabbbabaaabaabaaaabbbaababbaaaabbbbba
+baabaaaaababbbaaa
+baaabbbbaabaaab
+abbabbbaaababbaababbabbababbabbbaabbabaabbabaa
+bbaabbbababababaaaababbbbbabbbaabaabbabbbababbabbabbbaabaaabbabaaabababaabbabbabaaababbbababaaabbabb
+bbbabbaabbababaaaaaaaabbabbaaaaabaaabbaabaabababbabaaaabbaabbb
+bbbbbbababbbaaaaaaaabbbabbababbaaaabaaabbabbaabbababbabbabbaaabbabbbaaaabbaabaaaaababbaababbaabbbabaaaa
+bbaabababaabaaaaaaabbaabbabbbaaaaaabbaabbaaabbbbbaaabbbba
+abababaabaaabbbaaabaa
+babaaabbbbbbbabbbbbabbbaabba
+abbabbbbabbabbbaabbbabaabaaaabbbbababbaaabaab
+babbabbbaababababbbabbbbabbbaaabbabaabbaabaababbbbbbabbbaaabbabaabbbabbabbaababbabaabbabaaa
+aababbbaaabbaaaabbbabaaaabaaabaabbbabbabaabaaababbabbbbbabaabbbabbbbaabbabaaabaabbbbabaaaabbaabaaaaabbaabb
+bbabbaababbabbbbabbbbbababaaabaaaababbbbb
+bbababaabaaaabbabababbbbaaaaaaaaaa
+bbaaaabbaaaa
+abbbbbbabba
+baaaabbabbbabbaabaaab
+abbbaabbaababbb
+aabbbbbbbaabbabaaaaaabbbbabaaabbabaaaabbabbabbabaabbbbbbababbbbaabaabbbab
+abbbbaababaabbbbaaabbbaabbaabaabbbbabbbaabbaaabaababbaaabbbabbabaabbabbabbbbaabab
+bbbaabbbabbbbbabbabbbbaaaaabaaaabbbabaaabaababaababbabaaaabaabbaaabbabababbbbabaababaaaaabababaaaabbaaabbbb
+bbaabbaabbbbbaaaaaabaaababbabbbaabbabaaabbabbbaaaabaababbbbbbabababbbbababaaabb
+ababbbaaabbbbaababbabaaaabbabaabbaaaabaaaaaababaabaabbabaaaababbbabbbbabbbbaabababbbb
+bababbabaaaababbbabbabaabaaaababaabaaabababbbabbbababbabbbbbaabbabbabaabababaa
+abbbaabbbbaaaaababbbbaababbaabbbaabbbaaaaaabbbbbaaaaaababbbbb
+abbbbabbbbbbabbbaabbbbbbbabbbbaaaaababaabaaabbbabaabbbbabbababbbbbaaaaaabbaaaaababbbaabbabaaaababaaaababa
+abbabababbaabbbaaaabbbbabbbbbaababaaabaabaaabaababaaabaaaabbabbaabbabb
+abbaaaaaaabbbaaabbbba
+bbbbbbbbababb
+babbbaaaabbbab
+aabbbabaaabaaabbaaabbbbabbbbaabaabaabbabbbbaababbaababbbbbb
+babaaabbabbabaaaaa
+babababbbaaaabbbaaaabbbabbabaabbabbbbbababbaababab
+85 76
+bbabbaabbaabaababbbbababbbbbaabbaabbabaababbbbaababbbbaaaabbaaaabaaa
+abbaaababababbaababbabbbbaaba
+aabbaaaaabbb
+aabbabbaabbaabaaaabbbbababbbbbabaaabbbbbbabbbbbbabbbbabbabbabbaabbababababb
+aaababbaabbbababaabbababbabbbabbbbaaaaabbbabbabbaaababbabaabbaabbaaaabbbaaaabbbbbaababbbbbaabbabababbb
+bbbbbbbbbbaabbbaaabababbbabbbaaaaabaaabaababaabbbbbaaabb
+babbbbabbababaa
+aaabababbbbbabaabbaaaaaabbaabbbbaaaaabbabbaaaabaaaababaaababababaabababbbaabbabbbbbababbbbbbbbab
+aabbabababaabaabababbbbaaaaabaaaaaabaaaaabaabbbbaababababaaaabaaabbaaaabbaabbbabaabbaaabaaaababbabababaababa
+abbaaaabbbbbabaaaaaaababaababbabbbabbabbbbbbabbbbaaaabaaaabaaaabba
+baabbaaabbbbabaaababaaababbbbbaabbaaabbabbaaaaaaababbbababbbbababbbaaaaa
+aabaabbabbabbbabbaabbababbbaaaabbbaaabbbababbaabbbbaabbaaaaabbabbbbbbbaabaababaaabaabbaaaaaabaabbaaaabaa
+aabaabaaaabbaabbaabbbabaaaabbabbabaaabaaaaabaaaababbbabaababbbaaaabbabaabbbbaabbbabbbbbabbbabbababbbbbaaa
+abbabbbbbbaabaabbbababbbbaaaaaabaaabbababaabaaaaaabbababaabaabbbbabbbbbbaabbbb
+babababaaabaabbbaaaaaababbabbbbaaaaabababababbbabbbaaabbaaaaababbabbabbabbaaa
+aababaabaaababaababaaaaabbaaaaaabbaabaaabbaabababababbbbababbbbbbbaaaaabab
+babbbabbbbaabbaabbbbabbbbbbbbabaabaabababbaabbabaabbababbbbbaabbabaaaabaaaaba
+abbbababbbbaabaaaabbbbababaaabbaababbbabbbaaabbabaaaaabbbbb
+aabbabbaabbabbbbaaaabbbabbbaaaaaaaabbaaa
+aabbaabababbbababaaabbbabbbabaaabbbabbbbaabbbabbbabaabaabaababbbaaaaabbaababbabbbbabaaaaabbaaababbabba
+abbaaaabbbaaaababbababbbbbb
+bbbbbabaaabbaabaaaaabbbbba
+bbbbababaabababbbbabaababaaaaabbaaaaaaaabaabaaaababbbbababababaaabaaaaaababaaababaababbaabaaababbaaba
+aaababaaabbababbaabb
+abaaaaaabbaaaaabaabaaababbabbbbabaabbabababbabbbabbbbbbbaaaababbbabaabababbabbba
+bababbaaaaaaabbabbbbaabbba
+baabbaaababbbaaaabbaabbaaaaaaabbabbaaabbababaaaabaabbaaabbabbbbbabaabaabbaaabbabb
+abbbabaaaaaaabaaabaaababbabbababaaaaabbbaabbaabaaaaaabbbaaaaaabbaaabaaabbaaabbbbbaa
+abaabaabbbaaaabbaabbbabbabbbabbbababbbaabaaabaababaaababbbaabbabbabbb
+baabbabbbbaaabaaaabbababbbaabbaabababababbabbbbbbbbbbaaabaaaaabbaabaaabbabaabbabbaabbab
+aaabaababbbaabaaaaabbbaabbaaaabbaa
+aaabababbaaaabaaabaabaabaaabbabbabaaabaabbbbbaabaabbbaabababaabb
+abaaaaabababbaaabaaababaaaabba
+aaaaaabbabababaaababaabbababaabbabbabaaabaaabbbababbbbaaa
+bbbabbaabbbbaabaaaababbbabbaaaababa
+aaaabbabbbbabbbbbaababbbaaabbabbbbaabbbbbbababbbbababababbbaabbaabaaabaaaaababbbaaabaaaaabbbbaababbaa
+abaaabbbabbbbaabbbaabbbaababaab
+babaaabaaaaabbaababaaabbaaabbbaaaaabaababaabababbbababaabbbbabaaaabbabbbababbababbaababbbbbabaa
+bbabbaabbabaaabaabbbbbbabababbababbabaaababaabbaaababbb
+baaabababaabbaaabbaabbbaabbbbabaababbbbbbabbbaabbabbabaaabbbabbbbaaaabaaaabbbabbaababbbabb
+baaababbbaababababaaabbaaabaaaaaabbbbabaababbbbbbbbaabbaaaaabbbaababaaabaaababbbaabbabbbaaabbbaaabba
+aabaabaaab
+babaabbababbbbbbbabbaabbaabbabbaaabaabbaaabbbaabbbaabbbbababaabbaabababbbbbbabbbbbaabbaaaababab
+babbbbbaaababbabaaaaaaababbbaabbbabbbbbbaaaaababbbbb
+aabbaabababbabaabbbbbbbabaab
+aababaabaabbabbbbabbabbaabbbabaababbbaaaaabaaabbbaababbbabbbbbbabbbaabbababaaabaaaabbabaababbaaababaaaaababa
+bababababababaabbabbabaabbbbababaabaaabbabbabbaaaaababa
+aaabaabbababbbaabbbabbaaabaaaabbaabbaaaabbaabaaabbbbbbbbaaaabaababbababbaaababaabbbb
+abaababbbbbbabbaaabbbaabaabbababaabbabbabbaaaaabbbababbabbbaaaaaabbbbbbbabbabbabababbbabbababaaaabbbabaaa
+abbaaababbaabababbbbabaabababaabbbababaabaababababaababbbbaaaaabaaaabababaabababbbbabbbbaaabbbabbaaabbb
+abbbabaabaaaabbbababbbbabbaaaabbbbbbabaaaaaaaabababbbbbbbababaabbaababaaba
+aaaabbbaababbaaabbaabaaabaababbabaabbbbabbbbbaabbbabbbabababaabb
+bbaaabaabaaababbaabbaabbaabaaaabbabaabaaabaaaabbababbba
+abbabbbaabbbbabaaababbabbaababbaaabbbbbabbabbaabbaaaaabbbababaaaabbaabaabbbabba
+bbbbaababaabaabaaababababaaababaababbabab
+bbbabbababa
+bbbaaabababbbbabbbaabaabbbbaabaababbbbbabbabbbbbbbbabaaaaaabbabaaaaaababbaabbabbab
+bbaaabbbaaaabaaaabbababab
+aaaaaabbaababbbabbbababaabbbaaaabbbbaaabbaaaaaabababbabaaabbbbabababababbaab
+bbbaaaaaaaabaabbbbabaabbbbbbaaabbbbaaabbbbbbaaaabaaababababbaaabbaaabbaaabaabbbabbabaabaaaaaaabababbaab
+abbabbaabbbb
+abaaabbabaabbbbabbabbbabaabaabbaababbbbbbaabaabaabbaaababbbbbbbbaaaaaaaabbaaaabaaaaaa
+bbbbbaaaabaababaaaaabaaabbbbaabbbabbbababababbababbabaaaabbbbbabb
+bbaabbababbaaabaaaaaabbbbbabbaabbbbbaaabaababaabbaabaaabbaabaaabbbabaabbaababaaaaaaabaaaabaabab
+bababbbabaabbbba
+bbabababbbbaaabaabbbaaaaaaabaabbbbaaaaaaabbbbabababbbaababb
+babbabaabaaabbabbaabbbabbabbbbbbbaaaaabaabaababbbbbbaabbaabbbbbbaaaaaaabbaaabbabbabaabaaaaabaaabbabba
+aabbaabbaaaabababaaababbbbaaabbbb
+aababaabababbbbaaabbabababaabaabbbbaabbbbabaabbaaaababbaabbbbaaaabbaaaabaaabaabaabbaabaababbaabbabbbababbbbb
+abbabbabbaaaaaaaabaabbbabaaabbababababbbabbbbaabbbab
+aababbabbbabbaaababbbabab
+bbabababbbaabbbabbabaaaabaaabbbabbbabbbbbbbbbbabbbabaaababbbaabbaabbbaabab
+abbaababbbaaababababaaabbbbabaabbabaabaaabbbababbbabababbaaaabaaaaabbbaaabaab
+bbaabbaaaabaaabbbbaaaabaabaaaaaaaabaaabaaabaabbbaababbabaababbabbaabbaabaaaabbbbabbaabbabbbbaabbbaaababaa
+aaaabaaababaaabbbbabbaabbababbaaabab
+bbbababaabbaabababaaaaaaaabbaaaabbaaabbabbaaabaabb
+abbaaabbbabbbaaabbbaaabababababaaababbbaabbbabaababbabbaaaababaabbaabbbbabbaababbbbbbaabaaabababbabbbbab
+bbbbbbaabaabbbaaaa
+bbaaabbbbabb
+abbaabaabaaaaabbbbbbabbbaaabbabbabaaaababababbaabbabbbbbbbbbabaaaaababaababbbabbbaaababbaabaaabbbabbabbba
+aaaabaaaaababbbbbbbbaabaaaababbaabbaababbbabaababaabaabaabbaaaabbababbabbbaaaaabbaabbaabbbabbaabba
+aaaaabbbbbbabaaab
+aaabbaababbb
+aabbbabbababbababaabaaaaabbbbbbaabbabbbbbabbbbbaabbabbbabbaaaaaaaabbbbaabbbbabbbbbbbaababb
+babbbabbaaaaaaaabbbbbbbbbaabaaaaabaaaaabaabaabaaaaabbbaaaabbabbaabaabbbbb
+177 43
+acdacaccbbdbbbddacdcddbaccdacdbaccacbbcacdbadcbdabcacdcaabcccabcdccbdcbbacdbdddadb
+acadacbcdcccdcddaaabdcddcadadcbccdddcabbbadcdbaacbdcadabdccbabbbbdaaaccdcbdbdbcabccddadbbdbbcad
+dbbdccbbdbcdaacadcaabccdbacdbabbbbbcbaaadbbbabcd
+abcbbdbbdcccacddbddcdcbccdbbabcdadacbcaaaababaaaabbaccaadbbacddcbcbcaabdbbdaadababdcddbacddcdcbcbbbbdc
+acacbdcddbbabccabdcccbdbdbaccbbddbabbabddacadadcdbbddaaaadcbccdbddcaddddbbb
+cddcacabcaa
+daabdccbaaaacccbcbddaaaaaaccbbaacccdbbcbabbdaadcaddddcadcabbaabddc
+cbccbabccaabbaddbbabaadbcbdcadcbdcdddaddcbcdcbadcdbbdacccdccbbcddbbbbccabaccbaaccbbbaddbbaaadbaaadbcdcbcdcb
+bacbcaabccaaccdcbcdaaabcdcadabacdbddcaabcbbba
+acdddabbcbcdccbadadccccabcadcabbcabaabdadac
+dabddbadccaacaaddcdacdacbddacdcdaabcacbbd
+dadcdbcbddacdcbacddbcbcbdcbbaddbaaadcbcbccadadcccdababc
+cadddccdacbacbbbcadbdbdddddccdadacdcadcdcaccdbcddddaccbbdaabcabdccadabacbdcdbdbccbdaccaaabcdacdccd
+cccaacddbdccadcacacbacccbbcdcabdaaddddbbaddacaaadccbcadcdbbbcccd
+dbccbacbdccdcaabccababdbbaabdcaccbcaadabcaabcdddadbadddacbacbcdacbdaabbabbcccc
+dccddaabdabdaab
+bcdacdccdddacdadaaabbcadaca
+cddbabcacccccaccbdddbcbadaaabdcbdbaaabbabbdcbdcdaddbbabcacddbbc
+bdbbbaddaacaabbddadbcadcbcccabacabbdbdcdddcadbcaddbaaabcddddbbbdbccdbddabccbdbbcdcaa
+aaccacdcabbddbbdbbdaaddacccdcdcbabacdbcbbcddbddbbbcdddca
+dccbdbabdaaccbadaaddcbbbccccdddcddcccdbbcccacddaabcaccdcbbbabcadcdcccddcdabbbcbbdaaabbadcb
+babbbaccddddaacdbddaaaadaadadbdbabaadbdbcaaabcdabacadadbcccbdbcddcdadcdacacbaaadcbadabaaacbbc
+bbaadddcbcddadcccccabadaacdcaabddbaabbdbcccaabcdcabccdbaaabdccabaaaadacaabbbccabccbbccbadabddbb
+aacbaccaacdbcaccdbdbadbbbdcbbcabcdcdcaaaabdcadbcdbaddacbbdccb
+bcccacbcddadbbadacbbddddccbbcbbbcadcbaaddd
+aaadabbcbaddbcbaadacbbbbddccadcbdadbabbdbbcaaaabdbaabcbabaabadaddcccddddbccaabccadaaaaabab
+bdbdddcabadadbcddaacaddbacacacbbbaddcbdcdbdbadcbabdaaaacddcdbccdcdddaabdcdbcdcbadbcabaccbabbaaadccbcdccacbc
+daabadbbaabbcdddcccccaabcdbaadccdbbaaaabbadddccbacbdadcbccbcddbdddddabaccbccadbddddacaabb
+bddadbdcaaacdabcbcbcddcaccdaadbacddabcbccdcdbdbccdaaabdcbcaaacdcccddaddccdcdabccabadccacbddcbcadb
+aabbcdcacbddcdbdadcdcbabcbbaddccaabbdbaadcadaadaadacdabccbccdcbbdcdaacbbadbcbbaabdddcbccdbdaacddbc
+dccddbddcdabadbcacacbbabdcdbcadccbadaadcddabddcbdbdccdbacbacbcbaddbcdaadcabcbcdabcdddadadc
+bbccaaadacdabbbbaacbbadacdaacdbccbbbdcdccbabbcbbbdcdabbbbbcdacabcddadacbdadcdccdbcbbadabcdcaadbdadccdbccdba
+bdbacdaacccddbabaddddacccccbbbbdcadbddcdbbdbcaaacdaddbacdabbabb
+cdadbabccdadccabacccbadccaaadddacadbbabacccaabcbccbdacababbbbababaaadcbdbbdbbcbcbbbadbbbbdccccadadacb
+dbacdaabadadc
+baabadbaabaadaabcdcadababdcddcaccadabcabacaadcbabcdccdabddadacccdabadcbadbbcdbccbaababaadbdb
+dbbbbcdadb
+bcddddabcadbccdcadbbcadabbaabddbbcccaddcdcc
+abcbbdacadbbcbbabcabdcaaabcbbbcbbcccdabdcdbcccbbabddabbbdccadbdaadabb
+bcdbcadbbdcaddcdcd
+acdadccdddbcadbacc
+babaddabddcdacbaadbcbbcabadccbccaabbbaabbdbadadbadabbdccdcdcdabbaabba
+caabbabcbdcdabcdaaaaddccbbdcaacbbbcdbbdcaadaddbdcddbdadcddcadccdbaadabccaacbabbbcabdaadaaacaadccbcaddcdacb
+caaabdcccbbaadabbddddddcbdcbbaabbbbbcbdddadaabdbacaddccbad
+dcdbbcdadabdcbcdadcbbbccccabdcdccdbddcdaadbbddbcbcdcccabcdcaccbdcddbcdaba
+bdacbdbaddbbddaddccadccdbbddabdbccaaaccccddddbdbccadbcccdbab
+cddccadbdbaaad
+dadbbcddbadadcabbacbabdddddadadadaaaaddcdaadddaabaaddadccbdaacbbbddcadadccccaacacadcbdaaac
+acaabddcdcccccdccdbdcdbcadadbbaccdccabaaacbbaacaccddaccccacbabaaacdbabdbcabbdcbdbcdcbacdbdc
+aaacbbbdabdacdbacaccadbccdbcbbadaaccabbcdddcadbaadababaacddaadcbddbccadaccbdcbccbcbaccbacabcacbacdaccaabcaddd
+dbbbddbcdbaccdbcdabdbcccabdbcbdccaddbadcaddbbccddcabccabcdcaacdbbddcbacbdcddcdabadbabddbcbacadbbcddd
+bbdaaccddcadbbcbcbbbcbbdccaad
+ddcbabdbdccbbcaacdbb
+cbcabadccdcbdbcbbcaccbddabcbbbbddbdccccbcccbadbcabcabacacaadaccaddbcadbcbbacabccbaca
+acaccadbacddaccdcdacdccdcadadcaadcacddcdaababacbcadbabddccabacbcdcbdcabdbaabdddcdbdcabdaccb
+acacaacadcdbbdbacdabbddbacabcaabbdbbbddddcbbdcacbcdccdbbddabdbbadadcbbabdaabdddbcacdbbabdbacaab
+abadbadbadbb
+aaadddbcabdbbcacabbdaabadccadcaabbcdbaddcabb
+dccaddaddabddcddbadccbdbdcaddaaabadadddcccdcddacbdbbbbbbdcbcbadbdcadabacbaabcabadbbdbcacbba
+acaddcbccdbcbdcaaadacbcaaacdabdcbbcddcaddcabacdababdbbcabdbbdcccbdbaaaaacdabccacdccbad
+acabbaadccbcadcacdcddadddcbccddbdadcababaaccd
+bbcabcdcccccbdadacddadadbdbcacdcaabaddaaabbbcccbddcbdbadbbbddccbdb
+cdddbcdaadbdacaaadaadddbbbdbcdbabccadaaddccacdacccccbabbaadcddcabbdccbdcacbca
+caadddcdbbadabdacabbbcacbabccaadbdccbababaaabbcdbacadaddabdddbdaadbadbbbbbcabdcacbbcbdbcbd
+acdccddbbdcaabcbaabbbbbbaaccbdbccc
+ccddacadbcaaadcdddaabdcaaadcbccbacbcbadbc
+cbbdcbccabcadbbccaddabdbcccaaccddcacadaddbddaaadcaccdbacdadbc
+dacdbccabaadbdbcddbbddbdabadddcabcaccdcdbcdaabddbc
+cdaccbdcddbdcdcaccbdbdb
+dbabdcbcbbbaaaaaabbdabbccdbaabbcdadaacabdddadddbcdaabdcdabdbbbbdcabddcaaacbb
+bbdccbcbdbdbccadcbdccacaaaccabadcaaabbabacdbccdccbaacadcaddcbbccccdcccadaaaacadababcb
+abdbcaabdbc
+bcbbcbdcdacbbdbdcbdbcadabcccccabddbadbcccbddcddaccabccaacabbddbabadca
+cdadbbddbdddaddbababdadbccabcbdabbcbadacccc
+aadbdacddddcacacdbbdbadabacbbdccbcabccadbcbbacdaabacdaca
+aabbcbcbbcbcccaabacbacdbdbddacbccbccdddacdbaadccdbcbcacdcadabddcabdb
+cbabdacaadbbbadcaadacdbbdabbacbacdadbcbbccbacdbacdaacacddaddbcdaabaccdccacdcdcdacbacbaaaabdcbbacc
+cadcdbacccacdacdbdacdaabdbacbdabcbbccdacbaacacacccadcdacdaaaaaaabcadcbbdcbaddacccdabdd
+ddacdbcbcbcadbbaaabbcbddaadbbddbcdcddbbaaabddaccacbbcaaacbdacaacdcdddcaaaccacab
+bbcabcbaabbcbbdcabaadcabcdbdaabaddbcbcaadcbccbddccbaacbddcbaaacaad
+bdacaaadadacdcabcbabdbaddbdcadaacddbdcdcdccabadbabbdbabad
+dadbcccacacdaddcdaacabcabcdcdacddadcaacccadbacdcbbbcdbbcbddadbcbbcdcccdcdbcaa
+bccbacdbcabdaccbabcddcacacabddcdabacbbcadacaaaddaadbabcbadbabdbccdaabcaddaacbbdbbbbdacdcdcbaadccbbdcdaaabbcc
+dabbcaacdbcdcdcadaaddddabdccacdbccdccdcdbbdbccdbadadcaacbaacccbbbacbdcaabaccaabcdcadacabbacdbddabcabdcc
+acadadbacbcdbbdacbbccabcbcbdbcbbbbcdccabcacdbdaadbdbbacadcadcadcbbabcabdbcccbcbcbccbaaacacdcabcdbabaa
+cbdabbdcdccaadacaacadcbaabbcdabccbbabddcdcbabbbdbbbdbcdadaaabdcddccaaddcadbbbbcbbacdaaba
+daabacccdcdadcbdbaa
+dadbdadabcbdbbdcaddabadcacbc
+ccbabddadccddcadadccacadcacabdacacbccbdcbbddddbcabddbbacdbadabacbcdabcdbddbabdacdccbdbbabcbcbcaaaccdcbdcbb
+aadcdadbdaddccabdcbcabadcddbacadcdbdcbaacbbdbdcbbdbbccbacbcaacdcbcddcccdcdbcacbcbbbbacacccdadba
+ccaccbaabbdbdcaccdabccccbacdddbbccdddcbdbacaacbcdaccaacccbcbaabdcabcacccbcd
+cabcbccbdcdcadaddadaaabadbbbccaaadbcadbbbcdbababcddbaddaccadadcbdbaaabdbcdbccdabbaddbbbbcaaadcabcbcdcb
+accdddcdcababdbdddcdbdbacaccaabbddccaaaddcbabbcdaaccbdddcaddcddccbdcdcbcdbcbdbbddcbbaddaadbdadaa
+cbbaabdcbcabcaabbcbacdbaabacbdddaacdcbbdabdababbabcaaabaaadaccbdddcdccbabcabdbbaddcbabd
+dbcdccbcadadaddcaddacdbbabb
+bddbccdcabccccdbcc
+adccbbccdddcdbbcbadbbaadbcddcbdbaddbddacaddccbddadcbdaacacbcdaadcaaabdcbdccdbddbcadbaccbbdbcdbcdbdcacbaacacab
+accadbbdbcccaadbbbcdbbbbcccdaaaddbabaaddaaacbcbbadaabddbdbacbadcdbacabddcccaccbdddbaaaddbbccadcacdacdbbcdbacb
+bcacbcdaabcdbccddcabcdbcbabbbdabba
+bcabbdbacadaadaadcbdccddbbd
+bbbbacdcbdcbadcaabcbaccbdbdccbccdd
+dbdcaabdcbba
+dbabdcbcddacbdaadbcbadcbdcbaadbbbdcbabdddbcdcdbccdcbcabbaabaaaabbdcacccbccdccbccbacdcaabccdcdcadcdbcca
+acbbcbabccdbdcdbdcbdbaccccabbbdbbdccbdbdaadbabcaacacbdcab
+cadddbbaaababcbbabddbaccdccaa
+dbcdcbdcdccddabbdbdbbbbccabbaaadcbccbbb
+cacdcbcaababdcbdbdcbbbcaacd
+cbaaccbbbdcccabdcbddccdbcacaad
+cbbcaaddbdadcdcaccdbbcccbabcbddcaacdbdabdaadcccbdabaaad
+dccbcadcbbcdaacadbbb
+dbdbcbaacbdbacdddbdbdcacdacdadddbcadbaadcbbbbacaccddcccbdbacbbdbcdbccdbccbdccaadaacdabbaaacbbdaddac
+aadddbacabccbd
+cdbccdbaddbbcdabadaabddaacdbbacbaaadcccbabddcccdabddbbaddaacbbdbcaccacbccdbad
+aaadaacdaaaacaababdcdd
+bdababacdcdddbcbdabcdccbdbbbadcdabcabdcdadcacdacadcbbbaddcadacbabcaadbddabadddcbcddbacaabcd
+aadbdcbbbdacdcbdcddbcdabbbacdccaadacbddbdadbbdcdbccbabaaaaaaaccbdbb
+addcdcaabaadadcbccadbbdcdbdabdbbaabbcabcdcaabccbdadbda
+cdcbaacdcabbabaabbbbaadabbabcadbbbadaacbbabbdbbbdcccccacdaddbbdbabcbdbbbbdbbaacbabccddcddbdd
+accabdabbcccaddcddabdabdacbddcaacddccabadaadacddcccdacabbbabacbaddadaabbbbcaccdd
+bcdccdaacadabacbadbbbbcabbcabbddbccac
+ddbbbabdbdadabbdcbacdbcbcccbdcddccbcccbabdcadccaacccbacbdcdbaccbcbadacdbaccdbccbbabbacdbccbbcddbcdcaadaacadd
+ccbcdbcaddbbcdcbcabcaacccbcddcccbcdbcdababdadaccddbaaddbcadbbdcccbacddcbabaaccccdbdabacbbcdcddaabcdbacb
+bcbdbacbdabbbbcbcaadacacbdbddaabddbcacabbccccbabaadbacabccbbabb
+dbddcdabdbdcaddddddca
+aabcabdddaaddaacacdcccbdacbbbacddbbddbadd
+daacbcabadabaadcbdccbbdabdadaddbdbbddbcbacbbbabcabbccaaadbacacaddddbcdaccdacbddbdcdcaababcaadadabcdddba
+dccbabadbcddbbacaccdbdcbcdcacbccdddabdcddbaadbaddadcddabacdbbabcdcabdccbdaaaaacdcbbccabcacddacdccdbda
+bdaaccdbbdabaccaccdcbdcddbcccdcaabbcdcdcbadcabdddccdbabccabbcddcdccdb
+bbdbadadbdddacdcdcdcddbbbaccbcbbdbbdbcaccddaacacccacbadcbcccbdbbccacaabaddabbcbbdcaddcbbaacdc
+bbddcbcacdccdbbbddcbabdbdbaadacbbadbbaabbabcadaaadccbbdaadcd
+bddccdbdaabcacbbcbabbbdbadbcbcadadacdbabbcccdadddcabcbabcaacabdbadaaadbdaaaaacdcddabcadaddcabbbbdaacab
+bacdbbdabcabcadcabbbacaabdcccaa
+bbcbdbbcbbabccaccdadccadabdcacaddbdbdcbccbabbccbdadbccabccdcabbbacbdcddabddbacbdaabdddabb
+dbbcbcaacbbacdaaddccdbaacbdaddabbcdabd
+daabbcddbaacaaadbbacdbcbcbcabada
+bbbadcbddaacccdbccbbaadacdbadaddbbabcadacbbddbbccbdacacacdcacdccbadcaabdadbaabbcbabbbcccbabddababc
+dbccdaacaaabbbabdcdadbdcdbacadacc
+cbabacaabcbadacbbdacdabaaadbbacaccdadadaccbca
+dbadcadbdbaddccadaaacacadccbdcdddaddbacadadcadacadadaacabccddbdbbabcbdb
+abbddddbcdacbbcbabadbddbdbccddbabdccdacbcdcdcdcc
+bcbabddddcaddaadccdadcdacaadddadbabdadbabaccdaadccababdaccacbdbbacdabacbdbcaddadcd
+cbcdbcbabcdadacccacabbcbcadccbdccbadbcabbbdcdc
+dcbacbcbdbadacdccb
+dddbbadcaadbbaaadbbbcbcbbcabbbacdccadadbbbddcbdadc
+cdacadbcbbcabcacccadacbccbcbadabdcdcdccdabaadbcddabcddbabbaddbbaabbdabbdabdadbabcaddcddbd
+bbdbddacbacddccccdcbdbaaabcdcddadcabaaabcacddcacddddacdccabbdddadabbdccbadcdaccbabbbdcaaccbcdbc
+bdcbdabbbdccbbbbdaddad
+bbdaababcbcdcccd
+baccaacbbbcdcbdaddcba
+bacdacdccdcadccddcbddcbbaddbcbcbbc
+abbdcbbabaaddaacccdabadbcabcadddcccdcbcccdcbacbaadcdcddcbbbbbcacbacacdabdbdca
+dabacdaadcbcdbdbddbcdcddbabdaaab
+acbdacbdbabbdbcbcbbdbcadddbdccddbcababbdaaabbadbccbaccbccbdddabacddbcabcccadaccdaacdcabccacaab
+dbbbdacdbdccbbbabbcbdbbbbbdacddbcdababaabbcbcbaaadaddcddcdca
+cbbbccbcdcdbaddcdbddcdccaaaacbbcacbadcadb
+bdccabbbbaddaabcaaabcbdaaaddddbcccaabbcddda
+daaccbbbccccdbbcdbcabbaddddbadbabaccbddcddabcdaacdadcdccddadbdcbbcdbbbcdadbdbccbcacaccbcdddbcabcabbccaddcdac
+bbbdaaaabdbbdcbcabdabdabdaadabccbaaabbbbaaccadbdcbdacccbddcaadabbbcbaabababbbbccdbd
+cbacbbbddacbbdc
+dacbdaabadbadadcdabdbaabddcabdabdadcdbddc
+adcdaccaabbbdcbbaabdabbdaadddbc
+cdbabbdbddcdacbcbbabcbaadbcccbddadccbcacabbcda
+bcadcaddccdcaacdcdbbdbcabcabacbcaabbbbadbccaddcccabcdbcadadcabbccbaacacacdadaabddacdbda
+bcdddbbadccdbcccbaccccdddccabccddbaccaacdbccddccbdcd
+dbabbadbdcdbbccbddccccbacddcbccdaccaadbaadadbcbddabcbdbccaccbcc
+cddcadacdaaacbadcbdcbddcbabcaddabaababddbadddbbbdcddadaacabadddbbddacaddcadddc
+ccdbdcddddba
+addbcdbccddaabbabcbbdadcaaacdabdbcabcbdcaa
+ddddcaadcdbaadcdccbabacdaccddcddbbadacbdcccdcccbbbbbdaacdbbcbccbbcadadabdbbbaabbaccacabbdbd
+adbdaaabad
+aadddddcddaadbacccabcdadcdbacbadbbddcdccbdaaabcaccdcaabcacdcdbccdddcababaccbcaaccbcababacccdca
+bcbbbadaccacacaaccaccdbbacaccdadbbbdbcbddabdcbabbbadcbabcbbbbdddabcbbbdcdcacdcbccdadadadcadac
+daddadaadcaacdbbcaccaacbcddbbcbbbaaddbccdacccacdaaacaabddbabb
+cdacdcaccbbcbddaaaccbdadb
+dcbacbdccdaaaccabbaabddbbddabcacacbbdbabcaacbacddcddab
+bdcbbdadbdabccdbaddcbadbddbbbbacccabbbabdaabbaddaaddcddbacbdccb
+dbdcdbaaaabacbbacbcbaadacbbdacdbadadadadddbdaddcdbbdbacbbcabdaacbddacaaccbbbcadbbbbaabcacbccbddb
+278 145
+bbbaaaabaaabbb
+bbaabbbbbbbbaabbbabbabbabaaabbbabbbaaabbabbabaaaaabaaaaaaabbbaaabaabaaaabbbabbbabaabbaba
+aaabbbaabaaaaaaaabbbbaabaabaaabbb
+aaaabaaaaaaabbabababbaaababaababbbbabbaaabababaabbababbbbababaaaaaabbbaabbaaabbbabaabbaaaa
+aabbbbbababbbbababbabaaababaabaabbabbbbaaaabaaaabbaaaabaaabbbbbbaaaababbaaababb
+abaabbbabbbbbaaaaabbaaaabaaaabbaabbabbaabbaabbabaaaaabaaabbabaaabaaabbabaaabbabaababaababaababaaabbbaaabbbbaa
+babaaabaabbbabbaabaaabaababaabbbbabbabbbbbaabbaabababbaaabababbbaaabaaabbaabbbab
+abbbbbbabbabaababbabaababbabbbaaaaabaabaabbaaaaaaaabbaaabbbbbbbbaaaababbabbbba
+baaaaaababbbbbbbbabaabbabbabbabbbbababbabaabaaabbababbba
+abaaabaaabaabbbabbababaababbbbaabbabaabaaabbbbbbababaaa
+bbbbbbbaabaaabbababababaabbaabbababababbbabbaabaabbaaabbaabaa
+bbaababbbababbbbbabaaa
+abbaabbababbabaaaabbbbaabababababbbabbaaabaabbbaabbbbbaaaaababbbabbbaabaaaabbbbbaaabbaa
+babbaabbbbabbbaababbbaab
+bbaababaabbaabaabababbababbababbbbaabbaaabaabaababbaaaabbbbbabaaaababbaaabbaaaaabaaaabaab
+abbbbbabaababbabaaabaaabbaaaabbabbbababbbbaaabbaaababaabbabaababbbbbbbababbababbababbabbaababaabbb
+aaabbbbbaaaaaabaabababaaaaabbbbaababaababbbabababb
+bbbaabaaabbbababaabbbbab
+babbbabaababbaaaabbaaabababbbaaaaababaaabbabbbbaaaabbbababbbbabbabaababbabbaba
+abbabbbbbbbbabbbbbbbaabbbbbaabbbaabbbaaaaabaaaaaabbbaaabbbaaabb
+aaaaaaababbaabbaaaababbbba
+bababbabaababbababbabaabbabbbbaabb
+abbababababbbbbaababbaabbbbabaabaaaaaabaaababaababbbaabbabbabbababba
+babababababaabaabbaaaaaabbabaaabbaaaaabaababbaaaabbbabaabaaaaaaababbaaabbbababbaaabb
+ababbaabaaaabbaabababbbbaabaaababba
+bbbaabaabaababbbbbaaaabbbbabbabaaabbaabbbaaaabaaaabaaabbaaaabbabbbaaabbbbbabbaababbbababbaaabaabbbababbbaabb
+bbaaaaabaaaababbaaabbabbbabbbaaaabbabaaaababbbababbb
+babbabaaabaaaaabaaaabbbaabaabbbaabbbaaabaaaabbbaabbabaaabbbabbbabaaa
+aaaabbbbaabbbbbabaaaabaabaaabbbaabbbbbbaabbbabaaabbbbaa
+babbbbbaaaaaaabbabbabbaababbbbbabaaaaaaabaabaaabab
+abbaabbbbbbaaabbaabbaaaababbabbabaaaabbaababbababbabaabaabb
+abbbaaabbbabbabbbbabbabaabab
+bbabababaabbbababbabb
+aaabaaaabbaabbaa
+abababbbaaabaaaabaaaaabbaabbababaabbbabaababaaaabaabaababbaaabbbbabbababbaaaabbbbaaaaabbaa
+bbabaaabbababbbabbabbbabaaaaaba
+abbaabbbaaaabaaabbbaabbbbbbbabbbbbabbaababbabbbbbabbabbaababbbbabbbbbbaabbbbaabbabba
+baaababaabbabbababbaaabbaaaababbbbaaabbabbaabbabbbbabbaaaabaababaaaabbaaa
+aaabbbabaabbbbbabbaababababaabbabaaaabbbbbaabbbaaabaabbababbbbabaabaaabbabaababaaababaabaaaabbbaabaabbbaa
+abbaaabbbbbababbaaabbbbbabaabaabbbbbbbaabaaabbaaaaaaabaaababaabbbaabababbbbaaababbaaba
+abbaaabbabaaaabbabbbbbabbbbaabbbbbbbabbbaabbaaaaababbabb
+bbaaaababbbaabaaababaabbbaaabaabbaaabbbbbaabaabbbbaaabaaaabbbabbabbbbaababaaababbaaaababbbababbbab
+aaaaaaaababbbbbbaababaaabaababaa
+baababbbbaaaaababbbbabababaaababaaaabaababaababbaabbaaaaaabbaabbaabaabbbb
+bbaaabbbabbbbbbabbbbabaaabbbaaabbaabababababbbbbaaabaabababaabbbbbba
+babbbaabaababaaaaabbbaabbabbaaaaaaabaaaaaaaabaaabbbaababaabbabaaabaabaabbbbabbabbbaabbbbabbaaababbbbbabbbaba
+babbaaababaaababbbbabbabaaabbbbbbbaa
+aabbabbbbaaabaabbaabbbabbbbbababaabbaab
+bbaaabbbbaaabbaaabbbaaaababbabaaabbbabbbaaaaaaaaabababba
+bbabaaabbbaababbabbaaabaabbba
+aaabbabbaabaabbbabaabbabbbaabbbbabbbbbaaaabaaaabbabbbbaababbabbbabbabbbbbaaaaaaa
+baabbbaaababbbbbbbbabaababbbbbaaaaabaaaaaabbbabaabbbbbabbabbabbabababbabbabbbbababbabbababa
+bbbabababbaabaaabbbaaabbaaabbbaaabaabbabaaabaababbaaababbbaaaabbaaaaabababaaaaa
+aaaabbbbabbababbbbbabaaaaaaabbbaabbaaabaaabaabbabababababbbaaabbabbabbaababbaab
+bbaabbaaaabaaababababbbbb
+abbaabaabbaaaaababbbabbaaaaabbaabbbbbbbbbbbbabbbbbababbbabbbaabbabaaab
+aabbabaaababaabbaa
+baababbbbbbbababbabaabbbbaabbabaaaaaaabbabaabaaaaabbaababaab
+aabbababbaaaaababaabbababbbbababbaabbbbabbbbbbbbbabaabbbaaabbbbbabbbbaabaaabbabbabbaaabababbabaabbababbaa
+babaaaaaababababaaaaabbabababbaaabbaabbbababaabaaaaaaaaaaaababbbbabaabbbbaaabbbaabbbaabbbbbbaabababbaaabaaba
+baabbbabaabbaabbbbaaababbbaabaaaaabbbbbabbbaaaaabababbbbaaabbabaaabababbabab
+bbaaaaabbbbbabaaabbbabaabbabbbabaabbabbbbabbababbaabbbabababaababbbaaabaaabbbbbaabbabaababbabbbbb
+bababbbbaaabbbbbbbbbbaabbaabbbaaabbaaabbaabaababbaabaaabaabbbababaaaabaababbbabbabbbabbbbabbaaaaaaa
+abbaabaaaaaababbbbbbaaaabbaaaababbaaaaaabbababbabaaabbbbaaaabbaabbbba
+baabbabaaaabbaaabbbbaababaabababbaab
+babbbbbaabbbabbbbbaabbbbaabbbaaababbbbabbbbbaababaaabbbabbbaaabaabbbaaabbbbabbbaaaabaaabaaaaaaababb
+bbbbaaaaaaaaaabbaaababbaabbbbbaaabbbbaaabbaaababbababaaabbbbaabbaaabbaabbbaabbbabaaaaaabbaa
+abaabbaaaaaabbaabbaaabbabaabab
+aabbabbaaababaabaaaaabbbbbbabbbabaaabbbabbbbbbabba
+bbaabbbabbaabbabaaabbbaaaaaabbbabaaabbabbbaabaababaaaabbabbabbbabbabbabbabbbbabaababbbaaabbab
+aabbbabbbbbbbbaababbbaaabaabababaaabbaaabbabaabbbbabababaa
+bbabbababbabbaaaaabbbbbbababbaaaababbabaabababbbbb
+baaabbbbaaaabbabbababbbaaabbbaaaabaaabbaabababaaabbbabbbaaaabaaaaaaaabaabbabababbaaabaaabaaabaaa
+abbbbbbbbbabbaabbbbbabbbbbaaaabaabaaababbabbaabaabbaabbbbbaaabbabbbaaaaabbbbaaaaabbaaaaabbababaabb
+abbbbaabbaabababbbb
+aaabbbababaabaabbaaaaaaaabaabbbaabbbaaaab
+aabbbbbaabba
+abbbabbabaabbabaabbbabaaabababaabbbbbaabbabaabbaabbaababaaaaabbaaaba
+aabaabababbbabbabaaaaaabbaabaaabaabaaabbbbaa
+bababbbaaaababaabbbaabbbbbbbabababbbabbaabbaabbaabababaa
+aabaaabaabbababbbbbbaaaaabbbbbaaabaabbbaaabbbbbabbbbbababaaaabbaaabbaaaaaaaaaabbaaabababababaababababab
+aabaaabbababbabbabbabbbbbabbbbbabaaaabbbaababbaaabbabaaaabbabaabbbbbbbbababbbaaabaababbbbbaabbaaaabbbaaabba
+aabbbbaaaaabbbaaababbbabbabbababbbbbbaaabbbbbbaaaaabbbbababbbabbabaaabaabbabbbaaaaaaabbab
+babbabbabaaaaaaaababbbbabbbabaabbbab
+baaabbbbaaabbbbbba
+aabbaaaabbabbbababbbabbabbabbaaabbbbbbbaababbbaabb
+aababbbbaa
+aabbabaaabaaaaaaaabaababbbbaababaabbaab
+bbaaaaabaabbbabbbbbbabaaaababaab
+aaabbbbbbbaabbabbabababbababbabababbaabbabaa
+aababbabbbaabbabbbbabbbaaabbbbbbabaaaaabbaaaababbaabbaaabbbbabbaaabababaaaabbabbbbaabbaab
+bbaaabbbaaababaaabbbaaabbabbaaabababababaaab
+babaaaababababaababbaabbbbbbbabbbabaaaabbabaabbbabaababababaaba
+aababababbaaaabaaaabaaaabbaabbaabaabaabaabaababbabbaabbbbaababbbbabb
+aabaababbabababbbbbabbbbababbababababaabbbaabbabbaaabbbabbbaaaabaabbbbbabbabbbaabbaababb
+babababbbabbabbaaaa
+ababbaabaababaababbabaabbaabbaabbaaababbaa
+abbbbabaabbbababaaaababaabbaaaaababaababbabaabbbababaaaababaa
+abbaabbabbabbbaababbbbbbababbbbaaabbaaabababaab
+abababaaabaaaabababababababaabbbabaabba
+babbbbaaaaabababbaabbaaabababbbabbaaaabbabaabbabbbb
+babbbbbbbabaabbaaabbbaaaabababbbbaaabbbabbbbaaaabbabaaabbbabbaaaabbbabbbbbaaaabaaabaabbbaabbaaaababb
+bbbabababbabbaaaaabbbbaabaaabaaaababbbbababaaaaabaaabbbbabaaaaabbabaabbaaabbbbbbaaabbbabababababbbabbabbba
+bbbbbbaabbbaaaaaaaababaabbaababbbaaaabbabbbababaaabbbbaabaaaababbbbaabbbaabbbaabbbbabbbbbaabbbbbbb
+aaaaabbbabaabbabbaabbbbaababbbaababaababbabababbabbbaaaabbbbbaaaabbbbababba
+abbbaaababbababbbba
+ababaabbaaaaababaaabbababbaabbbbbaabbabbaababbbaaaaabbbaabaaaababbaaaaaaba
+baabababbbbbbaaababbababaabbbbbbaabbbbaabaaabbbbbbbbabbbaababababaababbbaaaaaaabbbaabaaababbbab
+aaaaabbbbaaabaababaaabbababbbbaaaabbbbabbababbabbaaabbbabbbbaabbbbbaababb
+aaaabbabbbabaabbaababaaaabbbbabaabbbaaabbababbaaaababaabbbbabbbbbabbabbaababbbbababba
+abbbbbaaaabababbbbbbbbbbabbbabbbabbabbbbbbbbbbbbabaaaabababbabaaaabbbbaababbaaaabbbbabbbaabbabbabbaa
+bbaababbaaaabbbbbbaababaabaabbbbbbbbabbbbaabbbaabbbbbaab
+aabbbaaaaaabbbbababbaabbbabaaaaabaabaaabbaabbaabbbbbababbbb
+abaababaaaabbbbbabab
+aaabbabbbbabbabbb
+babbabaabaaabbbbaaaababbbaaaabbabbaaaaaaaabaabababbaaaabaaabaaaabababaabbbaabaabbbaaabbb
+babbabbbababbabbabbaaabbbaabaaaaababbabbababababbabbaabaaaaaabbaaaabbbbab
+babaaaaabbaababa
+baabaaabaaabbbabaaaaaabbaabbabbbbbbaaaaaabbbabbbababbaabbaabaaababbbaabbbaaaa
+babaaaaaaaabababbabbbbababbbbbabaabababbabbaaaabbaabaaabbaabaabbabbaabababaaaaaababbbbbbabababbabaababaaaaba
+ababbaaaabaaabaababaabbaababbbaabaaabbbbab
+bbaabaaababaabbbbbbabaaabaaaaabbaaabb
+bbbabbbbaaaaaababbbbaaaaaaabbbabaaabbaaabbabbabbabbaaabbbabaababaabbbabaabbabaababbbbababaababaaabbab
+bbababbaabbbaaaabaaaabaabbabbabbabbabbbaaabbbabaaabaa
+aaabbaaabbbbaabbbbba
+babababbbabaaab
+aabababbbabbaabaaabaabbaabababbbababbaabbbbabbbbbabbaabaaaaabbbabbbabaabaabaaabab
+bbaabaaabbbbabababababbbaaaabbbbaabbba
+babaabbabaabbbaaabababbbabbaaaabbbbaaabaabaaaaabbbababbabbbabaaaaaaaaaabbbbabba
+bbaaabbbbababaaababbababaabbbaabaaababbababbaaaaaabaaabbabbbababaaaababbaabbbaabba
+bbbbaaabbaabbbababbbabbaab
+babbaabbaabaaaaabbabaaaaaabbbbbabbbbbaabbabbabbbabbababbaabaaabababbaaaabababaaaabbababbabbabbababb
+bbabababbbbabaaaaaaabaaaabababaababaaabaababaaaabaabaaaabbbabbbabaaabbbbabaaaababbbabbbbbabaabbaa
+bbbaaaabaaabaabaabababbbabaabaaababbbbb
+aabbaaabbabbababa
+abababaabbaaabaaabbbbbbabbbabbaaaababbabbaaaaaabbbbbbaaabbabaabaababaabababbabbbabaaaaabaaaaabaaababb
+bbbbabbbbbabaabbbbbaabbabbababbbabbbbbababababababaababbbbbaababbaabbaaaabaaababb
+babbbabbaaaaabaabbbaba
+abbaabababbaaaaabababaaabbabaaba
+bbbababaaabbbbbbbaabaabaabaabaabaaaabbbaababbbaababbbbabbababbaaabbbbbaab
+abbaaabbab
+aaabababababbbababbbaaaabbaabaabaaabbbbabbbbaaabbababaaabaaabbbbb
+bbbbbbababaabbbbaaaaaaaabbbbbbabbabaabbaabbabaabaaaaaabbbbbaabbbbbbabbabaabbabbbbbabaabbaaabbbaababbbabaaa
+baaaaabababbaababbaaaaababaabab
+bbababaabbaaabbaaaabbabaaaabbbaaabbabbbaaababbbabaaaaaababaabbaaabbbabaababaabaaab
+bbbbbabaababb
+aaaabaaababbaaaabbbbaababbbbaababbabbababbbbbabaababaabaaaabbbaababbbabaaababa
+babaabaabbaaabbbaabbabbbbbbabbaaabbbbbabbaabbbaababbbbbabaaaabb
+aabaaaabaaabbabbabbbabaabbaabababbabababaaaaabbaa
+abaabaabaaaabbbbabbabaabaaaababbbbabaababbaabbbaababbbbbababbaaab
+bbabbbbaabaabbabbbb
+bbabbbabbbababbbbabbaaaaabbbaababbaaabbbbbabababaabb
+abababbbaabaababbaababbaaabaabaaabaaba
+bbbbabbaaabaa
+aaaababbaaaabbbbbaaaabbaaaaaabaaabaaabaaaaaabbbababaaababaabbaabaabbbbbbbabbababbaaabbbbba
+bbbaabaabbbbabbbaaabaaaabbabaababaaababbbbaababbbaaabaaabaaabbabaaaaabaabababaabbabbbbaaaababaabbbbbaaa
+bbababbaabbabbbaaabaaabbabaaababababbaaaaabaabababbabbbbaabaaaaaaabababbabbaaabbbb
+aaabbabbaababbaaaabaababbbbababbaaabbababaabbbaaaabaaabaabbabbabaababbaabaabaaaababbbbbbbabbaaab
+babbbbbbab
+aabbbabbbbabbaabaabbbbbaaabaaaaabaaabbaabbbaaaaabaaababbabaababbbabbabbbbaabbbbababaabaababaababbababbabbb
+baaaaaabbaaaabbbaabab
+babbaaaaaaaa
+babbbbbaaababaababbbabbbbbbabababbbbaaaaabbaaabaaabbbbbabababbbabbabbb
+aaababaababbabb
+bababbaabbbababaaaabbabaababbbb
+aababbbabaabbbababaabbaaabbbbbabaabbbbababaaabbbbaaaabaaabbaaabbbabbaabab
+abaaaabaaaaabaaaabaaabaabababbaaaabbbbaaaabba
+bbbabbbaababbabaaababbabaaabaaaabbabaabaaababaaaaabaabbaaaaaaaaabbbbabaabbbaabbaaaaaabbabaabaabbbbbabab
+aaabaabbabaababababaaaabbaaababbbaaabbbabaabbaaabbaabaaabbbbbabbbaaa
+abaaabbbbabbaaabbbbabaaabbabbbbababbbaabaababaaaababbabaababbabaa
+aababaabbbbaaaaabbbbaaabbaabbbaabaaabababbbbbaababbbbbbaaabbbbbbaabbbbbbaaaabaababaaaabbbbabaab
+bbbbbabbbabbaaaaaaaaabaabbaaaaabaabbbbbabbaaaabaabababbbababbaaabbbabbbbbabaaabbbaabbbabaabaababbaababbbbbba
+aabbaabaabababbbaabbbbbbabbaabaaabababababababbbbaaabbbaaaaababaabaaababbaabbbaaabaaabbabbabbababbababa
+abaabaabaaaaabbbaaaabbabbbbabbbaaaaaababbabbbababbbbaabbbaaabbaaaabbaa
+bbababbabaabaaabaabbaaababaaaabbbabbbbaaaabbabbbbbbaabbabaaaabbaabbbababbabbbbbaaaababaaaabaabaabbabbbbaba
+abbaaabbababbbbbbbabababbaaaaaabbbbaabbababaaabaababbbaaabbabbaabbabaababbabaababaaaaabaabaaa
+baabaababaaabbaabaaabba
+bbbaabbaabaaabababaabaabbbaaaabaaababaabbaaababaaabbab
+bbbaababaaaaaabbabbaaaabaabababaababaabababaababaabbaababaaabbaaababbabbabbabbbbaaaababababbbbbabaabb
+abbabbaabbabbabbbaaabbaaaaabaaaaaabbbbbabbaabaaaabbababbabbaaabbbbbbaaaa
+babbbbbbabbbbbbbaaabbbababbbaabbbbaaabbaabaabbaaababbbabbabbaaabbbbaabaab
+baaaabbbbbbabbaabaaababbaaabbaababbabbbaaaabbbbbbbbbaabababbbaabaaaababaaaaabbbbbaabaaaaaabbbbabbbabaaabaa
+aaabbababbbbabbbabbbbbaaaaabaababbbbbaababbbaaabaaaaaabaabaabaaaaabaaaabbabaaaabaaabaababaabbbbbbaa
+bbabbbababaaaaabbbbbaabbbaaababaabbabaaaabaabbbabbaaabaabbbabababbbbabbaaabbbbba
+abbabaabababbaaababbbbabbbbaaaaabbbaabbbbaabbbbbbbbbaabbbbaabbbaba
+babbbbaaaaaaaabbbbabbbbabbaaabababbaababbbbaaaababbabbbaaabbbbaaabbbbabaabbabbaaabbbbaa
+abaababaaababbbbbabababababaaa
+abbaaababbabbbbaaababaaaabbbbbababbababbabbbbabbbbbaabaa
+baabbaababbbbaaabbbbaabaabaabbabbaabbbbaaabbbabbbabbabaabaaaaa
+aaaaabaaaabaabaaaababaabbaaabbbababbbbabbaabbbbaabbbaababaaabbbbbbbababababaaaaaaabbaaababbabaabaabbbbababa
+abbaaaaabbbabbbaaaaaababababbbaaaaabbaababbbaabaaabbbaabbababaaaaaaa
+abaababbaabaabaabbbaabababbbabababbaaaaababbaaaaababaababba
+ababaaaaababaaabababbbbababbbbabbbabaaababaabbabaabbabaabbab
+abbbaabbabaababbbaaabbaaabaaaaabbabaaabb
+aabbaabaaabaabababaabbbabbbaabbaabbbaabbabbabbbaa
+ababbbaabbabbaabbaaaababababbabaaabbbaababbababaaaabbabbabbbaaabbaaaabbbaaabaaa
+aaabaabbbbabbbabbbaaaabababbbbbaababbaabbbbbaaaababbbbabbaaaaabbbabbabbabaababbbaaabb
+abaabaabaabbbaabbbbababbababababbabbbbbbbbbabaaa
+babbbbababbababaababbabbbbbbbabaaba
+abaababbaaaaabbbbabbaabbbbbabaaabbababbbaabababaaabbbabbaabbaaaaaaababbbbbababab
+ababbaabbabaaaaaaabaaaaabbaabaaaba
+aaaabbabbbaaaabbbaaaabbabaabbabababbbbbabab
+aaabaaaabbaaaababbbbbabababbbbabbaababaabbbaaaaabbbbabbb
+aaaaaabaabaababbaaaaaaaababaaaaaabaaabbbbab
+bbbaaabbbaabbaaaabaaaaabbabaabbabaabbbabaab
+babbbbbabab
+baaaabbababbabaaaabbababaabbababbaabbaabaabaaabaaababbbaabbaaaab
+babaabbaababaabbbbbabaababbbbabaabbabaaaaaabbbbbabaababbabaababaabbbbbabaabbaabbabbaaab
+babbaababbbbbbbabbbbbbababababbbabaaaaababbabababbabbbbbabb
+baaaaaabbaabbabaabaaabbbbabbbaaaabbbaaaaababbabbaabababbaaabababbaaaabbb
+babbbaabaaabbababbaaabababbbaabbaba
+abbaabbabbaaabababbbabbbababbbabababa
+aaababbbabbababbabbabbbbaabbbbbabbbaabbbbabbbaaaababaababaabaababab
+aababaabbbaaaaaabaabbaabaaabab
+abbbbbbabbbaabbbabababbabbbbabaaaaaabbaaababbbabbababaababbbbaababbabababbaabbabbaba
+babbbabbbbabbbaababbaaababbbabaabaaaaaabbbbabbbabbbabbbabaabaabbbbbb
+baabbaaaaaaaaabaabababbbbbbaaaabaabababbababbbbbaaaabbbaabababbbaaaabbaaaaaaababaabbbbbaabbaababbbbaabab
+aabbabaaaabbababababbbababbabababbbbaaabaabaabaaaaaababbbaaabbaa
+baaaabababbbbbbababbabbbbaabababbbbbbaaabaaaababaaab
+baabbabaabaabababbbabbabbbabababaaababaaababbbbabbbabaaabbbabbabb
+aabbbaaaaabaabaab
+baaabababaabbaaabbababbbabbabaabb
+baabbaabbaaabaabababaabbabbaaabbbababaaaaababbabbabbaababaabbaaaaabaaab
+bbbaabbbbaaabbababaaaabbaaabbabaabbbaaaaabbababbabaaabbabaa
+abbaabaaaabaabbbbaaa
+abaaabbbabaabaaabbaabbbbbbabaaabbbbabaaabaabbbababbaababbaaaaabaabbbbabaabbbaabbabbaabbabaabbaaabbbabba
+baabaabaabbaabbbbbbbbbaaa
+bbaaaabbaaabaaababbababbaabbaababbbaaa
+bbbbbaaabbaababbababaabaaaaabaaabbbababbbbbabbbaaaabababbbbabbbbabbababaababbaaabbb
+abbabbabbaaabbbabababababaababaabaaaaabababababaaabbbbabaaabbbbabab
+ababbaaabaababbbaabababbabbbbbbababbbabbbaabbbabaaabaabaaaabbabbaaaaabbabbbabababbabbbbbbbaab
+bbbbababbbbbabababbabbaaabbabaa
+aaaaabbaabababaaababbabbaabababbababababbabbabaaaabbaababaabaabbbbaaaabaaabbbaabbbaabababaaaaabbaabbaaababa
+abbabaabaaabaabbbbaabbbbabbabaaaaabababaabbaaaaabbbababaabbbabbbbabababaabbabbaabb
+aabbbabaaabbabbbbabbabbabbaabaabaabbaaaabaabaabaaa
+ababbbabbabbbababbbbbbbaaababbbbbbabababbaaba
+bbababbabbaaaaaabbbaabaaababbbabaaabababbbbaabbbabaaaabababaabbbbbbaababaab
+aaababbbbabaaabbbaabaabaaabbba
+abbaaaabaaaabaabbabbabbbaaabbaabbabaabbababaababbaaaaababaaaababbbbbabababaabbbaaa
+abaaabbbbbbababaababaaabbabbbabaabbbbaabbbba
+aaabaabbaabbabbbbabaabbbabbbbaababbbaaabbbbbbbbbabbabaababbbaabab
+baaaababaababbabbaabaaabbaaababbbbbababababbbbbaababbaaaaababbaaaabbbababbab
+abaaaaaabbbbbabaaababbaaababbbaaaa
+aaababbabbabbababbbbaabaaabbbaaaabaaabbbbbbbbbabbaaabaabababbbaaabbabbbabbbabbab
+abbaabaaabaabaaaabbbabaabbabaababbbbbaaabbbbabbbbabbbbbababbaababababbbaaaabbaabababbabaa
+aaaaaabaaabbbbbbbbbbaaaabbbbbaabbaabbaaaaaaaaaaababaaabbabbbbabbbaabbabaabaaabbaaaabbaababbabaa
+abbbbbbabaabaabbbabbbbabbaabbbbbbaabaaabbabaababbbbaabaababababbbbabaabaaa
+bbabbbabbbabbbaaabababababaababbaabbaabbabbabbababb
+baabbaaababbabbbaaaabaaabbaba
+aaaababaaabaaabbbaababbbaaaabbabbbababaabaabbaabababbabbbaaabaaaaaaaaaaabaabbaabaabbabbaabbaabaabababbbab
+baabbbbabbabaabbabbbabbbbbbbababaaabbaaaababaabaabaaabaabbbbbabbbaabaaaa
+bbaaaaabbbbaaabba
+bbababbaaabbabbbbbbbbbabbaabbababbaabbabbbbaaab
+aabbaaaabbabbaabaabbbbbaababbbaaabbaabbababbabbabaabbbabbababbabbbabbbababbbaabaabbbbaabaabbbab
+ababbaabababaaaabbbbaabababbbaaaabbbaabbbbabbaabbaaababaabbbbabbbbaaaabbaaabaabaaabaaababbbaaabbabbbbbbababb
+babbbabaabbbbbaaabbabaaabaabaabbbbbaaabbbbbbbbaaababaaaabbbbbaabbbbbbabaababaaaaababbaaabaabaa
+babbaabaabbbabbbabbbabbbabbabbaaabbaaaabbbbaaaabbbbababbbaaaaabbbbbbabaab
+bbababbaabbbabaaaabaabbaaaababaabaaabaaabbbabbbaabbbaaabbbbbabbbbaabbbbaabbbababaa
+aabbabaaabbbabbaaaabaababaabbbaabababaabbbabaabbbbbabbbbbabbaaabaaaababaaabba
+babbabbaaabbbababaabbbbbbaababbbabaaaaaaabbbbaababaababbbabaabababaabaabbbaabbbababbaaaabbab
+abaabaaabbbbaaaabaaaaaabbbbbababbbbbaabbaaababaabbaabbbbbaaaaabbbaababaa
+abaabbbbaaaaaaaaabb
+babbbbaaabbabbabbbabababbbababbaaabbbbabaaaabaaaaaabaaababbabba
+bbbbaababbaabaaaaaaaabaabb
+baaabaaabaabaaababaaaababbaabaabaaaabbaaaaab
+aababbbbaaabaaaaabbaaabababbababaabbbbabbbbbabbabbaaabbbaaabaabbbaabababbab
+aaaaaaabbbbbbbbaabaababbbbaabaababbbaaaabbaaaaaabaabbaaaabaabababbaaabbbbaa
+abbbbbbbabababbbbabbabbabaabababbababaaaababaaaaaabbaaaaaabaaabaaabbbabbaababaaabbaaaabaa
+baaabbabbbaababababbbabbaababaaabbbaabababaababbbbbababaabbbaaabbabaabaabbaaabaabbbbbaaab
+bbaabbbabbaabbbbbaaaaaaba
+abaaabbbabaaabbbababaabaaaaabaababbbbaabaaabaaababbababbbaaaabbabbabbbbbaaaaaaaaabaaaaaaabb
+abbbbbbababbbbbaababaabbaaabbbabbbbabaaababaabaaabaaa
+baababbabbaabbaaaaaababbabbababaa
+babaaababbabbbbaabbabaabaaaabababbabbbabbaaaaaaabbaaaabaababbbabaaababbabbbabaabbabbbb
+bbabaaaaabbbaababaabbbab
+aaaaababbbaaaab
+abaababbbaabbababaaabaabbbaaabaaababababaaaaabbbbbababaababbababaababba
+bbbaaaabbbabaaaaabbbbabababbbaaabaaaaaabbbababbbbabaaaaaaabbababbbabbbbabbaabbabaaabbba
+200 33
+dabaadcdbddbdaaccbababbcacdbcdddcbbabaabbdbbdcbbaccdadbcadbcdbcdbadcccaacbcdaabddaddaddaaccadd
+dabbdbddcbddcbdccbcdcaaddbcaabbaabcdddacdbcccbdcbcdcddadbcddbdacdcbcdcbbbbdddacabbbcbddbbcbabcaadbbdaba
+ddbdcdbbbda
+cbbdbbabccaabdac
+aadacaabbca
+adddddbabcacbcbcbcadacbaccbbbddbabdcadcaabbabaadbddcbdcadaccdccdcdbbacbadbacbaadbbbdcaacdccabd
+dcbcaaccdbbacaddbbddabbbdaddabcbabccdcccdaa
+aadaabdacdbcaccbbdaabdcdbcaaccbcbd
+abacabaaabcdbbccbbcabcccdcadbabcbc
+dadcbaabcaadbcbdbabbdbbdadcaddad
+bcdacbdccdddcbadadbddcaaabbacbcacacabbdbdadccadcbbadabcbaacaaadcddcdaddddabdbbdadbcabdbbbbbd
+cdbdbcaabcaccacacbadcdcaacbacccabcbdcdcdcdccdbbdaabaaccaaacddccbddadacab
+dbbcabddabcadbbaddbcadaccbabddbdcadcbdaddcbbcbbdaacddabaadbcadcdbadc
+cbdcbdcdbbdccbdbdbcaadddacadabcddcabdcbdacabc
+dcdcaabcddccbbcbdbbcdbccbddabadadaaaaccdccdcaabcddaacadddbcbdbccdccbabbdadabaddccbdcbdbdcdbcaccdaddbc
+cbbcbabdacaddcabbbccadbcbbdcaacaddad
+dbcdbabaabccabdaddaacaacaccaadabdbbacacdadacddcacddadcaabccacaadacaddaddbad
+dbbccbccabcaccaddcdccdaadbdcbbbccbcbdadbaacaa
+dcaddaddddaacdacccbd
+cadadbccdcbdddbacabcabcadbdacadbdadcbcdbcbcaccccacbcacacabdcdadcdcccd
+cabcabccacdcccadddbdbacaaacdbdcddbdbbacccdcacdbbaacbbcbdbccdccacca
+dddbdbbddccbcbc
+dddbbcabbdaacccdadacaaddacaacbcad
+dbacdddcddbdcddbadaabcacaaddcdabdccaabdccacadd
+cdaddccccdbbcdaacbddaa
+dacabbcacdaccddcdcabcdcbccccdcaaddaadbacdabadccadac
+cadbcacbcabbacbdaabbbcbbdbccbccdcdaacaaabababdcbadaccbddcdbdcddcbbabdbccdabdabbdaadbddbacdbdcbbcaabbaa
+dbabbcbacadcddadabcdbcbcaabddbcdbcacaaccdcaadaccbddabba
+dccbcaabbbbcdbaaccadbbacadcdddabba
+abddccdaacbbbaaabaddadadabddccddccabcaabdcdbcdbbdbddabdcc
+babbcbcdbaccaddbdddaadbdbbdaadcaacdcdccbaaaaabbbdbdddaacaccbadaabdaddccdc
+abadcbadaccaaadccadddbcaaabccdcdccdbcbadbabccdcbddadaabdbdbbabcbaa
+bbcabacdcaddabdcb
+dbbdcdcbdabaacacccca
+ddddccbbcddbdccdbdabcbcdadaba
+bccbababbabcccbbddddaacccccddabddcbbcddaabadcddbabdbacadadddacaa
+dcbccddcdbbbbbadcbadaadadaaac
+aadaccbcdabbbcbabacabddcadcddbacbaccaadcaabbbcccddcdddbdbadaaccddaaacbacccb
+cbcddcbbadccbcbaabddddbddcadca
+cbbaabbdcaccbadbbddaaacaadcbdcddcaaaaddcdddbccdadabcdbcdbbacbaacdbadbdadbbbcabadbaadbcccadbaaababaabbacbddc
+bcbcdabbbbbddbddacba
+cbaccbdcaaabadaacabdddbdaaadaacbaabcabcddbabdbaaadccaababababbaacbacabdbcddabcdbabbacbdaacbaddaabdbcaada
+daccccbdbbbaabbbcccbcabbbdabdddb
+ccbbdaadbcbbcdabcdcccbdcaadbcadccdcaacbaaddcbdbaddccdcadc
+dddbdbbbdacbdbdbbadadcdbdc
+adddadcdcbdcbbddbadcbbdbcadcacdcbadacacbcbaaabdabcbacbddbcbdddaaaddcabcbdbdc
+ddabacdabbbadbdadcbbddcbcdaadddccdbadadadcddcbcbaaaadba
+adadbdbbacadabccbaddbcdaadabbbacbacdcbbbbbcdcacadbaddaababadcbcdcdccaaaccaabcdbadbccbcabcdccbadabaad
+cabdcbcadadbacbcdbcbbbc
+dacddacacaadaccbdadbabbd
+dcacabbbaddcbbbbcbdbdacbdaaaadccbadaccdbcbdcbaaacadadbdbcbacccac
+abcadbcdcbddcbcdbdacdaaa
+cababadaccbbdcacddadadabbacacabaabbddddbbadbcbcaadbaaaccdacdabaccbcbbccbadbdabcbabcdbdbbadabdbcabcdda
+aabcbddbdbbacadbccadcadbbdaadbccbdcaaddbdbaccdcacaaccddddd
+cbabadbaabacdcbdcadcacdadbdbaddbdbdbcbaaddbdc
+acabccdaccdacbddaddbcabdbacaddbcbdabcaaaaacbdcacacbc
+cacbccadbdddbbadcbbbbdcbcabbbddbbdccacbacccadbbdcdbccacaacbccabacbddabbdbdaabddbdcabbdb
+dbbbbcaabacadcdbdcbabcdcdcbadcdcdaacbbbadddadabddbcdaacbbadcacadbcddcacadcbadbaacaabba
+daccadbcabbbbcabcabaddcaadcbaaabddabcbbaddbaaaddbdcdabaccdaccadbddadbacbbbcbdaaabadbbddcdabcbaca
+cccadcbbcabdbdaccbdadadbddbccadcbaacdbccbbdbbabbbdadbbcabbcdadccaaddddcaacbbacdbdccdcbadacdddcdc
+dbdabdcbdcbacccbdacabdadcdacacbacbabacccbcadddacdcccbddccdadcac
+abbbcadccacabaccccdbddcabbbaddbbcdccdaaddabddaabdabbabdbbcbddcaadbccbbbcbcbcdacaaaac
+baddabbcccbccbcddacddaabcccabdbbbadddadaabcccaaccdacdcbbbccdbcccdbcabbacabaaaaddbcbdabaabdaccb
+bdbaabddbddaccbccaabbbbadbdabbbbabaddbddcbbcbaaabbbcadccdccaddccbdaccbcaccabbbdccaddbdacdddabcbcd
+bcddddacccbaccbbdaabdbcaaddaabdcddbbcd
+dcaadadbaababacddcbddcadcaaabdbccddadbdccadcdddabdabaacccddbbddbabadabbcabdbbddaadcdadbcac
+daccacddabcbaaacacb
+daaaacaaabadbaddbddbaabbcabdbadd
+bbadbccdccdacddaccbadcdacdddbcdbabbbabdabbabdadbbbdcdcabbaddcccadaadabbdaabbcdabdcc
+ddcdaddbbaddcdbccaccbdbbdbdadcacacaaccdadabdcddcddabddabc
+daabbcbbccabbddbbd
+bdcbdadabcdaabaabddbbbccbcbcccbaaabcacdcbdaaa
+acaadadaacdbdbbbbbcbcacaccadbaccabdcbddbcbdcadccaadaddbdcbaabddaabccacdaaaddcccbcdccbcdcdbd
+accbccdcaccddaacaccdbdaadbacdacbbbccadbcdaacdaacdaddccdaacabcbaaabbd
+bdaaabcdcbdcabdbdbbbccbbbbabbbbcdcbacabbbdbdcbdcdbbbbcaadcddbbbbdccddbcbadaaccacbbabccbbbabbacacad
+acacdabdaccbcaccddcacaacccbacbdcdbbcdcaaaadb
+accacbacbadddbaacaaddbdabbbcabbacdbbbbdbdab
+cdbddcacbddaaadcdbacdadccdaaa
+acdaabddbbacbcbdadaabdbabdbaddcbadabcbaccccca
+bcbcbcbcabdadcdaccdbbcbdaaddcabadbbbaba
+bdbdaaddccabccadaadbbdbacacaabaaddbdccdddbccdcdbcbbab
+ccbbdcbdddcabdbbbacbcbcdbddccdbbabdbaabbbbadcbdbbdddbbcbaabcad
+dccddbcccdaaadbccbdbbddddbaddacabbdccbacdbdcdcddadacddbbcadbcddbcaccccadcaaadbcbcdbdadacddccaabdaa
+acddbdbabadcbbbc
+dacbcbbabdcdabcbdccddcbabacbdbcccacaaadcaabdddbdcdadcadbdacd
+dabbaccbbdaaadcaccbcaccaaddcbcadadbdcacadacccabdcaaccdaaccbddaaabbbaaddcaadddbdadcdcaaaabbcbcdbcdddd
+baccbcbadbbabacccacacdbacccbdcbdbcddabbcaabccabbcadacbbbbcaadbbcddcddddaacadddacdcdccbdbbcbdbccd
+bdccaccacbdddbbdcaaddbadadcbbddcaabccadccdccbbadccbcdaddddbadcddaabdbbdccacccccbaadcacbbbcccbccbacdaabaddbbd
+bcbdcbcdcddcdacbddcaccbddbbcacdcdcbbcaacbbcabddaddcd
+bacdabbcabbdbccca
+aadccdadcbbdcacccbdaadbbdbbabbadbbcdabadbdcacbadcdccbdbcdadbdbccadbddbcbbbddaacbbbdabcacaacbcdbcacbddacabcbb
+ccbcdbdbdcdbbaddbcd
+dabacadddaccbddbadaacdcbdaabcaadadac
+caaabcaacbddbdbbaddaddbbacddcbaacbdaabddaaccaadcdcabbcbadbabdbacbdcbabadadabdbcacabbbcdbcbcbdaadcdb
+abdadcbdbaadbbacddaaadbdbadbccaaddcddcaabaddaccaaabdbcacabcbdacdcbddcdbbcbccc
+cccccbcbddaacabbbbbaabbbaacdbdbdbbbbabcbaccadabbbaabbadacdcdacdbbaacaad
+dabddcaacdbcacadacaaaaacbbabccbcdbcbbacccabbd
+cadccbbdabbcacccdacaacabcadbabaacdccbdbaaadcbdcabcdabaadcdcadcdbbcacddcccbdaaabcacdddbddddcdaccccadc
+ddaddbbbcddbbbbccddabaddddbbabbbbcaccdcbbcabacabbbddadcdaddacbddddcdbcddcdadbdccdbcdcab
+bbbdbbcacdddacdcdbcbadacbcdbdccdacbadadbc
+aacccbacbabbcdadddcacadcaaccdaababbabcdaddbacadaaacbdcabddadaaccabcdddaacbbabbbdbcabdcadbbcbabd
+dddcdadabbbacbbacbcaaacbcbddcddcadbdcabcadacbddcabcdaabdcbacdbbaabaaabcddccccba
+baacdadaccbadcbabb
+cbdaadaccbaacdbadccdbaacdcbadabbbbaddcbbccbbdbbdcaddcacb
+bcaadaccbbabbbbdbcddcbbcccddabacddddbbacbbdadbccdcdddaacd
+daccbbccbdcacbbbdcd
+dcdbbaacdbbbccacdbcdbbddadadbcccacdcabbbcbbdadcbdbcccbadbbacdbdbbcbbdabdccacbdacaaacdcdbcddcccdabdccaada
+addbdcaaabdcddccabbcbcdddabcdccc
+acddabbbcbdaccdaaacadbaaccbcdadadbddaaccccdccb
+cdbdbadcbcdcbcdcbbacdacacadcbccbaaadcddaadadcabcadccabdbaacadccdbabcddcbbbbaaaddaabbcccbbcdb
+cbddccccbaadacbdbcdccdddcbacdbcdbbccacdabcacbcbddcdadaaddabadaadab
+dcbaccaddbdadcacbadcaddbcacbabcaccabcaacbdacabddbdbdabdadbcccdabdcccbdbadcbddcdaacbac
+dabcbacdbbcbddccaddbcacbbcccbbdbcbabbccddcadcbca
+ccabbdacdcadbabaccdbbacdcbbbacaccaaddcaddbacacbbbcadcdabcddddbdabbcdadcba
+daadcbbdbcbdadcbbbcaacaaadbddbbcdcacdddcabddbdbdcbcbaccaddcbdadc
+dccdcbabadababbadacccddc
+abadaaaabdadddbdadbcdccbaccabadbddcdcb
+dcdcacccbbdd
+ddbcacacddadbddaacbdccbbaacabbddbcabcabcadacdaacbcdcdcdababcbbacccbabccbbdbacccbdbdabdcaaccadabcc
+baaabcabdddaacabcbcbdbdacddbccccdadaabbaadcdacddcdddcacacbcababbcbcdcb
+dbbdacddccbddaabbacccdabdcabbabbaddcddabdabdbbbacdbcccccdabbadbcbcbbdddddddbbcbcbaadccddcbcabccc
+bcabacaaababdcdbcbacbdcacddabbbaaccdbcdcaadbbbbbcaddddcddadd
+dcbdcbabacdbbbdbbbccabbccddbdacccdcacabacdccabcbacaabcaddacbbcccaa
+cdddbdccdccdbcdacdacadbacbabdcddabcbdbacdccdac
+abdbbacaadddddbcaabdcabcabdbbbaccbbaccbbbdcdbdcccabbbccbbddddbadddbbaadadcabababdacabdabccbdaacabbcbab
+cacadbabcbbbdcbabaaacccbdbdaddcbddacbdbcaacbcdabaababddbddacdd
+cbbddbaddcbaabcb
+dcaaddaacbcabbdbadaccbcacdbdacaddabbddcbacaa
+babdbcaaaacdcacddbadcdbddcbbcdccaadabacbbcdcbdbbbddaccdcdcbcdddabdaddabd
+dbbcdacbcacbdbacdbcabdbaaabcaadacdaadcacdbabcbddbbcbddabadc
+ccdcdaaabbadabddcabaaabccaacabbcc
+bbbadcbacdabccaddcbbbbcbadcacbbdbabdcbacdbcaacdbdbdcdcacdacdaa
+bbcaccdacbcbadaadbaacd
+ccaadddaadabcbbdbbcacabd
+dcccadaabda
+abccbddccaccccbcdbabacaabdccdcaadc
+abcbbbdcbbdacbdcbdcdccddbddaabdbcbdcdabcddacdacaddcbbdccbcbddcdddbabbccbcabaaddaccbdddb
+accbbacdaabdacdabadcadccbbaadbcadbdbdaad
+bcccdaaabbcdadbcaccabbabccbbbdbdcdadaaaadacbbbddbcddcccabada
+bdccbdccadccdcaadddcdccdbcaddbbdccbddcdbdbbddbdabaaabacbcacadaaabcdc
+abbcbbbcccaacbacadcabaacbbbdaccdacdcacbdabbabcdcdacadacaacbcccaadadcadbabddadabbadaccaabaacabcab
+bdbbaadbdcddababaadd
+dadcdbaaddcdcbbbacccadabadababdbcdbbabdbbbcdbcaadcdaddbccddddcbcaaabbbbcbbadabcabbbabbac
+ddadcddddbadcdbdddcdadcdbccccbdbbccbbbaaaabbcadbbcadcadabaabbacbdacbacbdbbabacabddaddcbdbacbbadbadcaaadbb
+acbbbacbdadbabbbdd
+dababdcbadacdcbcacccddcdbadacadbaccbaaddabbcabbaabbddabababddabbbbdcdcaadbbadbacdc
+cdabbadcccbcbbdcbdaaabdcbdccddaddcbadacacdccccbcbddcaddadcbbbabcbbdbccddbcaadcb
+bccbccbbccaadbabdcadcbbaaabbdaaddbcbcbcddbadcbbbdbcddadcaadadabddaddcababcddbdcbabaacbdbbbbbcacdacbddaabbab
+cccdbddbaacdbbdcabbcbc
+accdbaaaaaaadddacbdddbacabaabcbadbdd
+adcabcadcadbcaabdbcddddbdcacaabcbadbddccccbccddabdddccdaccbccabccadccbdccdcaabdb
+bcddaabccadbbadacddaadbabbdabddbdddbbadbabbddbadcbdbdababbbbb
+bbdbcdcddcdadaaccacddccbdbbacccacacadcdacdcbcacddbbbddabccaddccbdcdbcdaabdc
+caadbcccabcdccdbabddcccdaacdbbacacdadddbcbbaabcdbabadbdadabdbd
+cddddcdcaabcadddaddacbdaacdddcb
+dcdcaccbcbdcabccaddcccccbdddccaabcbd
+abdbdabddddcdbacdabccacbddcbcabcbddaacacbddccdacdbbdbcacbcaadacadadaccb
+bcaadaacbddcbbbbccccacccbddaacdcadcacddd
+cbccdbbccccccabcbbbaddccdccddbcd
+cacdbbbcbacbddcbcabbdbcccdbcbaaaaccdddaacdbbbdbbcbadaaaadacacbcabacadcbdbbcddbacbadbbcbccdcdadbcba
+bdabccdcbabca
+dccbccaacdadcbadabbcdcbaabaabdabacbbdbdaaabcaccdcba
+dcbbbbaccbdaacdbccaccbdcdbbdddabdcabcabbbcaabbaabddbcbccacbabcabcbabcdcbcdcbb
+dddaabddccccacbcccdadbdcccdaccbbbabcbddbcccdcacabacdddabbaaacabdabdaadaddcbcb
+ccaaddcbcccaaabccddbbaccbadddcbabbdcadaabccaddbbddbccbdcbcbbbcbbacdaacdddcaaccbdcdadbdcbacc
+adccdbadaaadbcdccdcdccacabccdaccadcacdadaacccddcbdbcddaadcccdbdbbccaccdbdddbdbdacbdccacaad
+dabaaaccbbcbaabbdadacdcdbadcaddbcaddcaabcdadcbcacdbddbcad
+dbacbcaabbddbcdcadbcabdabcacacbdcdddcacbabbbcbaccaadcbbbcaddcbaadababacbddd
+ccadcbbbaadbbbbcbabbaacadda
+dddbdbccdabcbda
+bdbcdbabbccbabdcccdbcdadddabdbacbbbabbacbdabd
+abacdaaaccbacaccbdaacaacbcacbcbdcccdbcbcbdadabccdbaacaccadadcbbbaaaabbbdaddcabadbccdacdcadbadabcbcdcb
+ddcddbccabacaaacbcddbcdbdbaccb
+bbbcbdabdacaab
+ddaaadcbacbcdbdcbcdaaadcacaacabbccdaaaddaadbddcadcbbcabcbbcdaccddaacddbbacbdaa
+caddcadacdabbbcbabcdcabddcbadbdcacabbcccdccdabbca
+cddacdddccbcbddcdbbbbdcdcabdcdacbbabdbdcaddabccdabdbdddaacdcbcdccbddcbbbbdcacbddddbc
+adadaaccabaadbddbcddaddcbcbbcabbbcccbcabbcabddbaabbbcbadbbbdbabcadbccbb
+addadcadbadbbcdb
+adbdacacbaaadadcbaacbac
+dadcadaddcddaaacaabacaabdcbcaabdbbbacb
+bbdabbbcdbbaddddbdbbababbdbdbdbabaaccdccdccababdcddaadbbdbddabdbbaaddccdbadccdadbab
+adcdcddbcadababdaccbabcbaabbdccdbccdbccdddaaccacdabbdbccbababbcbdbd
+cbbdcaadcbbaaddcabdaabcdbacaaaddaaddbaacbccbdaabdbdcbbcdaabaaabaaaabacdcdadcddaaacbdcaddccdcdbcc
+adccdccabacddbccabdaadccdccbbccccbaaddacbdabddaaccbaadcbcccbddccaccbdbaaabcbdaaaababadcadbbbcbadb
+badaacdacaacdccccbdacaacacbcb
+bbdadbaddbcddabadbdabccbcadbdcabbcaddcccdaacabaabccba
+cadadcccbacaabdcddccbcabccccadaaa
+ccbcbbcabccdacccbbdbaacdcaddbcdcdcbcbaacaacbbaabdaccdbdbdcabadddcabccdbdcddcaaaccddc
+aabbaaadbbcabcbbbdb
+dcdbcaacacbcbcdbbdbbcbcb
+aacbbcddcdbbbdbbcbcdbcbacadbdaddcdaabbadcabaaaddaadaaabadadadadccda
+ddaabdacdaacbaabacadbcdbdbcdbdddcacddbdddccdadabacdaabbbbcdcdcabcaaabbacbcdaacabbcacbcad
+dddcbcbbbadcabdcbaaabcdbbbabbbdcccdacdbdacccabdbadcacddabbcadaccacdbdcbbdcdcabcacaabadbdbaabaccdacacabdadccb
+acbbbacccdcbacacbdaaac
+dccbabdababc
+bcccaabacbdabdababbcaddacdcdacdcdaaddaadadbccd
+cadcdcdbbaddbdccbbdacaabdcacbdbbbacbccdbbbaccb
+cadccddcbadbcabbbaacbcbda
+ccacaddbaabdaaddbdbdabbcbcbdcd
+60 45
+bccccccbaaddccdcdaacccbbaccdaccbbcdbccdcdcbdddbbbbbbccccbbdbccdbaddccadabdbb
+acaabdddcdcbcabaccccbcadcccddbcdadbcbacabcbaaadbdcbbd
+dcbdccacdbbabccadbbaaacccbbcaadcacdcabdcdcbcbaacdabaabcabcadbacaddbbaabdbaabcadbcbcabcbdcbdddcdbbcddacaccb
+bcacabcadacbbdbccbccbddaabdbbabd
+bdcbcbcabcbdcbcaddddcbdadddddacadacadcd
+ccdbdbacadadaadaddbcaacbddddabdbbdadbbcbcaddcaddbdcbacdddbacdcadbbdddaaac
+bcdaaacabcaabdbdcabdacdbdbcbacbbcbccbddccadddaacbbadbdcacabaadbdaddcadbcaacdcbdbda
+accadacddbacbccabccbaacddcadcbabcbaaabaabdaacbbbc
+aabcddccabacaadadadbbbbbdbcbbcbbdc
+dcbaacaabbdaabdcdadb
+daabbbbdadaadadcbdcbcbdcbcdbcdaccdcbbbcaabccbacaacdbccbbddddababdcbddaababddbcadcdccddacadcdabb
+dabcbaacbdcaaacbcdcabdbddadbdacacccabbcbddcadcaccc
+acaacbaadacbbabcaacadcdbcba
+abddbdcabbccacdaabcacdddcaaccdcbcddaabaadcbdcacadbbabdbbccddbccdadadb
+adaddbcbdaadbccacacddccabdccdacccacabaddbdbcbccdcdbbdbdbbadabdcaaadcbcbbadbcaddbddbcdbbacaccdb
+ccdccbabaacaccbcbaadddbabaad
+abccabbcaadcbcdadcdcccbcbaadddbdccddcddda
+bbcbbdddccacccaccadddabddbbcba
+caadbdadaaadbaacbccdccadbbadca
+dbbddddaddddbbddbdabcdaadcabaccabdabaabcdbacdbabdcacbbbabbbbcaabcbcaccbba
+abddacdbdbabcabdabcbbcbabccbbdccbbcabaddcdcadacacdaccadabdbbababbbcccc
+dbabcdbcdaadbaaabccdaccdccbcaddddc
+ccaacacdcccaacdaacabcbacabbbcadbbaaaccadddbdcaadbdddbadbadaabacaadbb
+daccabdcabbbcdddcbcccbaaccabacbdccbadcadbbcbbbbcdacaababdacabaabcdabccbddadabcadaaabdabbddddcccbdcdcb
+abaabdbacaacbaccbcadaaccdadcbbabdaddabdbbbacaddbddcdadbcccadadbcdcbcddddcadcddddaaadbdcbcbdb
+bbdddcdcdbdcacdccbacbbccabababdaabdddddaddbddaabaacdbdaaacca
+bcdabcbcbdbcbcccadabcddacddbcbabcdddaacdbbaaccbddacadcbdddabbcdccacacccddddadcdaabbabcaabbad
+cbdcdadbdcbcccdbbabdacbadbaccaba
+adcabacaabbbcabccdcacbcdbaacacacbbdcbdddcccaabbbddcadabcdbcadcabcdadcbcbbcaccadadbdbacbcddadcaababcad
+baadcbdbddadbacddbdcddcdcacabcdddbdbdbccbcabdaabacccddbaada
+ddccbbcaddddacdcbcbcdcdcbbddabccdaccdabaddcbadcbcadcdbaaadcdddbcdabcabccdaccdcdcdaacd
+babdbcbdabdddadaabbddccacccaccdacaccbdacaaaccdddbbadaacbabbacaccbdddcdccaddbbaaccbbabcbddcdcdadacaccb
+badcbccccadabaadbdcadbcacaaabcdb
+dcadbbdcacacaadbbdbadcadabdabdabadcbdadaccacccacaaaddddcb
+baccbaadccbacdbdcddcccdccbabbb
+bdcccdadacdacdbaabcdbbbcdbcbcddcdaacbcdbcabadbbcdcaababbadabcadcccdbbdcdbdacdcdbccdadbcd
+cdbcaababbbcdbadacbdbaabaabbcddabaddbabdacacdcbbadcbcdccaaabdabccabacadbcdddacbbbcaaabcddbdbabcbacccdacccbdd
+dbcbcddcbdddbbbcddccdddcbacdcdcabdaaadaccdcdccaddabbdcabbbaaddbbadcdadcabaaddcabdd
+dadcdcbddcbdabadccacbbcbaadbabaabccca
+bdbbcaddcabbdabdcadbbabadabbaacdbdcbacccbaccbbbddcabdcbaccccaccdddddadbadccabddcdddddadbcdbcdbadcadc
+dcbccbbdaccddddcbccdcbcadadddabbcbdcdadcbdadadbdcddacddacadbabbdbd
+cbddcacbbadbdadccadacbcbcdaacdcadaaacadababbdbcacbbcccbbbbccabbdbadccbbdccabccdccbbddcbaacbccacd
+dbdbabdadbbadccbbdcccccaabcacdccbdca
+cdbadcdbdccdccaacbcbdbacdabccdccddbbbbcaadcbbdaacbdc
+caddbdcddcdbdcdcbddcdcdddaacbcccabadaadbaababdbdbaaddbcacabaaddcaabaaaaccdcaa
+ddcadabddbcaacbdbcbbaaabababcdbbdbbacdbcdbabaaabdbcddabbcacdbdacccaabbcddcbababcaadbcbcadaccca
+aaacaabcbcbaddaccbcbbdbdccbdacbbcb
+cdabdccaaccbbddbdac
+acadddddbacbabacdcbaadadbadbabaccbbcabbabcadbcbcadaaddbdddcccbaacdbddaabcdacdabacbadcadbccaaabda
+dbddbcbacdbddcabdadbdacadacdaadcddbdcccdbadddacacdbcddaaacbdaaaccaccbbacdabdacaabaabcdca
+abbcbacbacdcbccababccaccdcbcaabadaaacccccabcbaaaaacacdacdbaabc
+dabbbcaadcbabcaaaddaaddcabdacdcbcaddcac
+bccdbdacabacbcdccabddaddcbddadbcdabaccbbcdddbcb
+bccdabbbbb
+bbadcadbcbdbcacbaacbacaacbbbdbd
+cadadbddcdaaccaadbaadbdbbcbabdadcca
+dbbcbbcbbccdddbdaacccabdcbbdbbaacbacacdbbadcbaaadacabacdcaabaabaacadddababdddbcbbbaabdabbbbcadcaccddcaccaad
+dcdadbacadcaccdbbaaddddddaaaabdcddcaddcbadbbcbcddaabcbaaaacadbabacbcdbc
+adbbaadcaccdcbaddabbcacbbbabdaaabaccdaccacaabcbaabacdccdcccbbbadddadb
+accbbbaabdcbcabbdbdbcccaacbcbcabacbcacababccabdabbccbdacbcddacacaabadddaaabdbcd
+160 79
+abaaccacabaacaacacbcbabbaababcbaacbacbabcbbacabacaaacbccbcbccccaccaabcbaccbaaacbabbbbcccbbaaaaacbcabbabaaa
+abaaccbaabcacccaabcccaabc
+ababacacbcaaabbaccaabaabbabbcccbbacbbcbcabccbacaccaaabcccaacbabbababccbaababccbbacacc
+bbbacaaabccbcbacbaacabbbcaaaacaccbbbababaaaccbbcababaccbcbcacaaabbbcc
+bbbcababacbcabc
+cbcccbacabbcabbbacbaabcbbaccaacbaaccccabacaccccbbcaacbbbababaaabaabbccbaabbaa
+abbbcaababacbbccbbbabbabcccbbccbbacbabbabcbccbbcbabbaacbaacacaac
+cbaaabaabbcbccbccccbabbacbcbcbbbccabbbcbaaccccbabccbcabb
+caabbcbcabaabacbbaabcabbbbbbbaccbcaaacbbaccccaaccaabbcbacccbcaacbaacbcbbababcbccbababcacababaaabaacbbbbb
+ccaaaabcbbaaaaaaacbbcbcaaccacaabc
+cbcaabcbcaacabaabcabcabccabaabccbcaccbacbbaabaabbccabccaaaccab
+ccaaabaaaacaaacabaaaccbbaababaacbacacaacccbccabccbbcabbbbabbabcccbcabbccababbbbcaa
+cbabcbaacbcaccacaabcacbaacbcbbbccabcbabbcbbbcabbbaaacbbccacaaabccccabacabbbabcacab
+caaaaaababaacaaabbacacccaaabbacccabacccabaaccbababbbabbcccaabbcaaababcaaaabbcaaaaaabcacaccaaaaccacbcbaccaaaab
+abbcccaababbbccabcbaabababccbcbaccbaaaaaacbbccaabbaaaaacca
+cabccbcabcaaacccaacbcbbbabacccbacbabbbbca
+cbcacacbaaaacacabcabccbcccabbaccbbbcbaaaabcccaccbacaaaabaabcccbcbaaabcaccaaccabccacbbabcbbbbcc
+caabcabaabbbacbaacccccbacabaaacbbbabbcccbcaaaabcbabcaccabbaacaabbbccaacbbacbaabbbbaa
+cbacbbaccacacabbcaacbabbcbbcaccaaaabcbccbcbcaab
+ccbcccbabccbbcbbaaccbcccacacaacbbcbcabcbccccbabcacacacbabacacaaababbb
+cabcacccbcaccbcccabaccbca
+cbaaacbababbaabbaacbcabcaabcbbbbaaabaacbabbbaacbcacabaaabaaabbacababcacccaaaaccacccbbcbbacccb
+bccbcbbacbacacaabbcabbcbbacbacababcbabbbbcabcabbcbcbabccbcacabcacbaabbabbbbccbac
+baacbabcccaacbaccbaabccbabbaccbbabaccccbbbcaaabbaccaccbcabcac
+abbcabbbcbaabaccacaaacbcbbcaccaaaaabcbbacaabbabbbaaabbbbaabbccbcaaaaacacacaca
+cbcaccbbbbaabababbcbcacbaabcccccbacabcccabcabbcababbaaabbbccccaccaaacabacaabacca
+bcaababbbcbacaccbacccac
+ccbaaccaccaccabacaacbaaabcccbbbbbbbccacbbcaabbbcbaccbcacacbc
+babcaaabbaaccaaababacaaaaabaac
+aacccacccbacacbcccccbccbacccccbaaccaaabacbbccbacbccaacbccabcbbccbbbabbbbbabaaaacbaccca
+aaabacbcbababcc
+bccbbcccbabbabbbbaabbbcabaaaabbbaabacacbacabaccacbacabaaccaacccacacccbacacbccaaaa
+bbccabbbbababcaabcacacacbcbacabaabcaacbaacaccabbccabbcbacaaaaaabba
+babccccbaccbaccabcaabababbcbacbccbaacbaaacbcabacabcbacabcacacbbbcccbabbababcbaa
+accbbaaccaaaccbbacbccbbabacaaabaaaaaacabacbbcbaccabbbbcbcbbb
+cbacaacccacaabacaaacbbbbcccbacacabaccccbaccbabacbaacabaabbbccacabb
+aaacbcbababcaaccbbbccbaccacbcaacaabababccabca
+bcacbcccbabbabbaabbbbabaacabcccbccbaaabcababbb
+aabbccaaabbacccaaaaabcccbbbaabbaacbbcbaccaccacbacabcacacacabac
+bcbbaabbacbaabbacbaacacaccaaaabbcccababbaac
+ccbacabbaabacbacac
+ccbcbccbbbbbcccccacbbcaaabbcaaccaacbcabbbacacbcaacbacbacacccbbcbbcabaabbbbcccccaccbbcbcccaabcbb
+abaccaabaaabacccbbbcabbacabaabbbbbaabcbabaaaacabccabcaabaaabccbcccaccbabacbaacacabbaccbcabccaccbaca
+accbcbbacababbccabababbabccabccacaccaacaccccaccbbabbbcaaaaaacbcaaccaaaaacacbccbbccacaccbacab
+ccacabaacbcaab
+cbccbcbcbcbb
+abcabcacbabccccbacabcbcbaacccacaacabccabacbabaacccaaaabcccacccccbacabbabcbbabacbbbca
+aaccaaccbcacacbcaccbbaccbcbcbb
+baabcbacccbacacbacbccbbbacccabbaacaccbaabbcaba
+aabcbaaaabcbcbbbbccbaaabbbcacbbcbbacbcacbcbbccccbccbabcbbccbacaaacacacccbcc
+aabacbcccbbacbbabbbccbabacaccccacbabcababcbcabb
+accbbabcbcbababbccccababbab
+baacbbaacacbacccbcbbababcbccbabbabccacbcaabbbababbbbcbabaaaababbcabacacaacbcaacababcaaaccbbccbccabbaacaabcabc
+aaabcbacaaabaacccbaabcc
+abaccccccccabcaaaaacabcccabcaccacbbabcbbbabbaababbcabcacaaccbaccbababacbcacbbaccaba
+cbcbbbcababbacbb
+caccabbaacabcbabcaccbabacaabcbbcacbccccccaaccbbcbcbaab
+baccbcacccacccaaccccbbcaccbbaabbbaabaaabaabcbbacbaabaaba
+aabaacbaaccbccbbcabaabababab
+bbababcaabaaacaacccacbaabacabcacbbcaabcbacb
+abaaaaaccaccaaaacbbccbbcbcbbaccbaaccbbcaabcababacbbaabcacbbaacccbbabacbbabaacabbaababbbcaca
+cbaaacccbcacacaccbcaacb
+cacabccbcccca
+abaabcbabcbaaaaabaabbcbbacbbccaaabacbacbbbabcccbbababccabacccaccbacabcbbccababbbb
+acaaaaabbbbcbccbcbaaaaccaaacacbcbbcabbccaaaabbcbaabcaaaacabccacacbbbaabcbacaacaaabaaabcba
+caabbcabbcbbcbbcaabbabbacabbacabbcbcbcbaaabacababbbaccabbaba
+caabbabbccbbcbacabaabcccaaaaabbbcaacabbaacbcccc
+cabaccacbabaaabbbccabacbbccaabaaccccabccbbbbaa
+abacbcabbbaaba
+ccbacabaabcbbbccbccbaabaacbbcbcabababcacaaaaabbbabacbacacaabbbcccca
+ccccccbcbbbcabbbbccccbcaaabcacbacccaaabbccabaccbbabcbbacbacabaaabcaaccc
+bbabbabbcbbbcaacabbbcbcbbabbcbbabaacccaaaacaacbaaaaacabcacaabcbbbbbaacaaaabccaacaacaacbbabacccab
+babcbbbcabaabaabcbbaacabcbababbbbacbcbbcbcccbaabbcabcaccaaabbbbbabaabcbcabaabbbcccb
+abacaaccbaaaaabcacbbababcccabccaa
+cccbcaacccacccbaabbbacaabbbaaaacbcccabcbab
+bcaabaccaaacbabbccbaacccbcbcaabbaacabbbcababbaababcacbccaacacbabccabaababbcabb
+babbcabcaccababbcbacbcbbabbababccacaaacbcbbccbcabcbbabcbccaaacbcbaacbbbacaacaccc
+ccaacbbabccaaabaccaaacaaacaacbacbccaaaacaaaaaababb
+abcaaaacccccccaacaabbabbccbaacababcbbbabcbbcbbccabacbaaabacaccccbcccbaabcbabbaccaaabbbbbababbacabaaccbabbcca
+acbacaaaaabbcbbaacccabbbacacaacaacbbbcababaabbaacabbaccbbbbbcccbccbcacbabcaabcccaabbbaabacbcb
+cacababcccaacccbaacaaaacbabbbacbacaabacbabccbccabbcbcaccccbbbccbabbaabcbbbcccaacb
+babbaaacaabcccbbccbacbcaaccb
+cacacaaabbabbbccaabaaabacabacacabaacaaacbabcccabcbabaaacaababbccabccc
+bccaaaaabcaaaabccbbacccccabcacbcabbbcbabacacaabbabbb
+caabcbcacacccbca
+aacbaabcaabcaabacccabbbbacccbbbabbcaccbc
+abbacccbbaaa
+caabccabcababbccaacacbc
+cbbbcaabacacbc
+bacabacccaacbb
+cababbaacccbabcbaccbaabbbcaaabaccbaabccbbcbabacaababbaacbbcbcbabaacbaacabcbcbbaabbcbccacccaababbbaacbac
+bccaabcabaaabbbccaaccbbccacacbaababccaccbcaaaacacccccabaabccbabcbbccabacaccacbcaccaaabbbcbcbcbabaccbc
+ccabbacabaabcaaccbbcbccbbabacbcac
+cccccbbbcabacaabbaabcbcaabbbcbacaacabababaabbabcbaabcabbcbacbccbcbccabbccaababcbccabacaabacaaabcbcbbbbcbacba
+caabbaabcbabbbcaabaabbacbaabaaaccabcbbacbbbcbccbaacacabccbabababababaaacbcabcbbabbccb
+bcabcccabcaaaaaacbcbcacbbcbccccacabbaaccacbccabacbcaab
+ccaabacbccccbcbccaaacbcabbaaaccaacbbbaabccccaaabcbbbcabcbbccabbbaaaacabbabbcababbbcbca
+aaaaaabbbaaacbacaaaacaabacaaaaabbbabaccbcbacacaaaabbccccbcccccacacccaaaabbac
+bccacbbbacaccaccbcbccaaabbacbaaacbbabbbaacbccbaccaaacbcbbabbbcbabcbabababaac
+bcbbcbcaacbaacabbbbbacbabbcbcacccccaccbacbcccaaccccccbcacaccaaababaacaabcbcaaabacbacabacbbabbbcaabbc
+abcbcacaacbcccbbabcccacbbbbaccabccbbbcbcbaacacbaaacabcbccbbaabbbabcbbbabccaacbcbbabccbaabcbcb
+bbccccaabaaacaaaabaacbcbbcbaccacacbccbbaacaaccaaccabbbccabbbcabcabbbccabbbbccccaaaaabcaaaaacacabacbbacbc
+ccbbcabbccbcbcbcabacacabccbccbbcacbacbcaabcaabbcbbbcabababaaccbaabaabaaccbccbcbbbbaacacaacaaacaacabccbba
+abbabcaaccabcbbaacccabccabbaaacacabacabccabcaaabaabcbacabb
+cbbaabbbacabcbacbcbcbabaacaabcccababbcaababcbccbaaacbcccbababaabbbbabccabbbbbaabcaaabacbacaabbacb
+bcbbbabaaabccbababab
+cccabbabccaccabaccabbcbacccbac
+abcaabcbbaaaababcaaaaccaaababacbbccbaabbbacababccacbacccabcacbaccbbbaccabababcacccbcabbccacbcc
+acaaccbcbaabacbacabcccaacbaaacbbbbbcbcbcbccaaabcbbacba
+bcacbcaccccbaaabcacbcbbbbccccccbbbbcabbbbabaaacacacbaaccbbcacb
+bbbbcbcabcaaacacbcabba
+accbccbabbbcabbbccaccbcabacabacaabacacababcbccccacbacaaccababbabcaaacbbbaabcbbbbbccbbaaabab
+bccbbbccccbbcacaccbacabccacacbbbbccbcacbaaabbcaaccbabbcabcbbacbbabcaccbcccccaacccaccbabacbc
+acbaccabccacbccabcbbbbaccccbaaabbbcbaabaacccbbbabcaccbcbaabcbbcbbacacacacaabbbababaac
+babaacbbccabcbbabbcbcccaacabaaacbaacaabbacbcbbbccaacbaabacbbbcbcbccacbaccc
+bccbaabccacbbbacbbbcccaaabaccbbbbbbacaabcaccccccccbbcccacaacabcaaccbccbaaacabbbbaabcbbcabba
+abacbbbbaabbabccbabcbbccaacca
+bccbcabababcbccccbbbbaccbaabbaaccabaabacaccbabcccccbbabcaccabacabaabcbbabbbaacccaabcc
+cccccabababcacacaaabbacbacaabcaaabccccbbacccbcaaacabcaabacbacc
+acccbcabcbbaacbcacaacccbbcaacaacbcabaacaccaababcccaacbbbcbcbcbccabcabbacccccaacaaabbccccbbacccacaacaccabc
+abcccaabbccbabbbbbaabcccbcabcacabaaaccbaccacbacaaabccbccacabbbccaaacbbcbccbbababcbaacbcbbaccaabcca
+caacbacabacbaabcabbbcaaaabcabc
+bcacacccbaaaabbbaacbcbbcbcca
+abccbcccaabbccabccbacccbacaaacaaacbbbbacbccbabcacccbaaaacbbbbababcbbaabcacb
+abcccabaacbaacbccccbacacbbbcaacacacbccccbbbaccbb
+bccbcccccbcaaaabbcabaccbcbccabca
+acacbbbccacbbaaaaaabbccbbbabacbcbabbcbbacaaccaacbaccba
+acaccacacbabacbcaacabbcbacacccbcbccbccbaabac
+abbcccbaaabcbbbbcbabbbccbaabccbcabbccabaaccabcacbbbbacacaabbcabacbccaaaaaaaaabbba
+aabacaaabccbcbccaabbacacaabcabacacbabaccacabcbbaccababccbbabbcbbcabcccbca
+cabbcbaacbbbccbbacbcbaacabaaaaabaaccabbbbccacacba
+acaaccbbbbbcaccaabaccbccbacbbbbcccbaaabacabcaaaabbcccaaaaacaabbababccbbacaaaacabbbcbbabacbbbbaba
+acbbaaccacaccbbbbabcabaabccbcccaabca
+bbbcccabbaaccbccbbabbcbbaccabbcbbbcccabcbcbcacacaaaaacacacacabcacbbababcacaabaab
+ccaacccaccacaabaacccacacabacbabbabcbcbbbcbcabcccaaabcca
+ccbbcbbbabcbaaacabbbcacbccacbacccc
+bcbbbcbacbaccaaababcccaabcabcbbcaaacaabccbcacbbabaabcacaababcbaacaaccbbbaaababaaacbaa
+bcabbabbaabccacababccbabaababaaccbaabcacccbabbbbbbaccacaaaababcaacaa
+acccaacaccabacabaabbcaccabbcacbaabbbacbacccaaabcabbcabccbaaaabbaacbaacaacabaababcbaabcbacaabcaabbccbcabbbc
+bcbccbacaacbaababaaccacbacaaaaabacabaaa
+babccacabcacabcccaacacbaab
+cbbbbbabacabbccbc
+bccaaaacccbaccbaabccccaccacbbabaacbacbaacabbaabaaabcbcaabaacbbcabacbcbbcbcaabbbcbbbcbabbc
+cabacabcbca
+bbaaccbcccbbbbbcccbbbbccaacbaaabbcbaaacccacbcaccaaababcbbababbaabcabbbabaabacccbbacbabbcbaabccbbcbabb
+ccacaabaaaccaaabbcbbccaaaacbacbbc
+bccbccaacbbbaccaccbbaacaacbabbaacabcbabcbcbaaacbcbbbccccaabbbbcccacaaccaba
+bccbbbbccaccbcaccbbaccabcccabcbbacccaacacbbcbaabaaccbbbacbacbaacaacabbaaccacbcbbaacbacabacabbbbbac
+bbccbbccccbbaabaacbcbbcaaabbbaccbabbcaaaccbcbba
+bbcbbcccccaacabcccbbabbcbcbbccacacbaaaccbccccccbcaacacbcacaacbbbaacbcbbbabcc
+abcbcccacaaabaccbacabbcbccbaacbaaccbcbcccaabcbabcbbaabccbbcbabbcaabcccacaa
+ccbbbaacbccacbacacacacaababcbabb
+accabbccabbbb
+bbaabcaabaacabbbbaabba
+cbbabbcccbbabccbacbacbcbbccaacbcaaaaaacabacabbbaccccbbbbbbacb
+aabccbcababaabbaacacaaccbccabaccabbcaccabbaaac
+acacabcbbbcaacbaca
+abaabcacccbabbaabbcccbcaccaabbcbcccbacaacbbbaaaabacbbcbaaaccbcaabacbbccaa
+cbcbbaaacbbbcaacaccbabaacabccabaacaaccacabacbbbabcacbacbccccbbacbbcbcaca
+cabbbbcacccbacccabbcabbccaacabcabcaaabbcbbbaabbbcacaaccbcbbcbabbabbacbbbc
+217 71
+baabbabbaabbbaaababbbbbbbaabbabbaaaabbabaaabbaaaabbaaabaaabaabaabbbbbabababbbbbbbbaabbbbbabaa
+bbabbaabbbbabaabbababaaabbbbbab
+babbababaabbbbbaabbaabbbababaabaabbbaaaaabaaabbbbbaaabbbabbbbbbbabaabbaabbabaabbbbbaaa
+aaabababbbabaabbabaaaaaaabbaaababaabaabaaba
+ababaabbabb
+babbbbbaaaabbbbaabbbababaabaabbbbaababaaa
+bbaabaaabababbbbbbaababababbbaaababbbabaaba
+bababaaababbabbabababbaaababbbaabaababbabbaabaaaaabbabbbbaaabaaaaaabaababbaabbab
+abbabaaaaabbababaab
+aaaababaaaabbbaaababbbbaabbbaaaabaababbababbbbaaababaaabababbabaaaaaaababbbaaaaabababaabbbababbabbaabababa
+bbaabbaaabbabaaaabbbbaabbbbbaabbbbaaaaaaabaaaabaaaaaabababa
+abbbababbbaaaabbbababbabbbbaabbbbabaabababaaaabaaabbaaaabaabbaabbabbabaabaaabababababbabaaaaaa
+bbaaabaabaaababbaaabbbaababbabbaabbbabbaaaabbaaabbbbbbabbabab
+bbababbbbbbbbbbaaaaababaaabbabbbbabaaabbaaaab
+ababaababbbaaaaaabaaababbabbababaaabaaabbbbbbbaabbaaabaabbbbbbaabaaaaaabbbabbaaaabbabbaabbbbbbbbb
+bbabbabbabbaababaabbaabbbbbbaaabbbbaaababbbaabaaaabbababbabbabababbaaaaabbbabaaaabaaabbbaabbbaabbab
+abbbbaabbbbaaba
+bbababbaaababaaaabaabbabaa
+baaaaaabaaaaababbaabbbaaaaababbababbbabaabbaababbaaababaabbbbbabbbbababaabbbbbbabbaaaaabaabbabaab
+ababaaaaabbbaaabbbabbbbbbaaaababaabbbabbaabaaaabaabaabbbabbbabaaaababaabbaababbbbbbaabbaaa
+abaaaaaaaaaabaaaaabababaaabaabbabaabaaabababbabbaaabaabbbababababbbababaaabbaaaabaabbaabaaaabbaaaabbbbbbab
+bbababaabaababbbbbbbbbabbbbbabaaaaabaaaabaaaaaabbbaaabababab
+aaaabbbbabbbbbbaabaabaaabaaabaabaabbb
+aaaababbbaaaabbbbbababaaabaaababaaabaabaaaaabbba
+abaaaaabbbbbaabaabbbaaaababaabaabbaaa
+bbbbbabaababbbabbaaabaabbbabbbbaaababbababbbbababaaaabbabbaaaaaaaaabaabbabbaaaabb
+bbbbbaaaaabaaab
+aaababbbabbbabbbabbbbbbaabaaabbbbbbbbabbabbbbbab
+aaababaaaaabbabaaaaaababaabbba
+abaaabbaabababbabbbbaaaabaaabaabbababaaaabaaabbababaaaabbaaabaaababaabbbbaabaababaaaaaaa
+babaabaabaaabaaaabaabaabbbbabaaaabbbbbbbbaaabaaabbb
+baababababaabbaabbaaaabbabbababababbbaaaaaabbbbbbababbbbaabbbbbaabaabaabbbbabbaababaaa
+aabaaaababbaaababbbbabbbbbbaaabaabbbbaabbaaaababababababaaa
+ababbaaababbb
+bbabbbbbbbaabaaaab
+baaabbbaaaaaaabaabbaabababaaabbaaaaababb
+bbabbbbbabbbbbabaabbaaababbabbbbabbaaabbbbbaaabbbbaabaaaaababa
+bbbbbabbaabaaaaabbaaaabbabbbbbabbabaaabbbbbabbaabaabbababababbaabbabaaabaaabbaaaabababbbbabbbabbabbbb
+babbaabbbbababbaabaaaaaabbaaaaabbaaabaaabbbbbbbbaaababababbbaabbabbabaaaabbbbaababababbbbaaaaaabaab
+abbaabaaabbaabbabbababbbabaabbaabbabbbabaaababbbbabaabbbbbbababbba
+abbaabbbbaabbbaaaaaabaababababaaabbabaabbababbbbaabbabbabbbbababbbbaabbabbbbababbaaaaabaa
+babaabababababbabaababbbaabbaaaaabbbbababbaababababaaaaabababbbabaabbbbaaaabbbbbaabababababbabaaaabaa
+baaabbbbbbaabbbbabaabababbbaabbabbbaababbabbabbbabbaaabbabaabaaababaaaaaaba
+babababbbaaabab
+bbaabbbabbaabbaaaababaab
+aaabaabbaaaabbabababbbaaaaaaaabbabababbbbabaaabb
+babaaababbbaaabbbabaabbbaabbbbbabbbabbaaaaabbbbbabbbaaaaaaabbbbababababbbaaaa
+aababaaaabbbababaaabababbaabaaabababbaaabaaaaaaaabbaaabbaabaaaaabaabbabbbbabbbabbabaa
+aabbbbaabaabbababbabaaaababbaabbbaabaaaaabbababaabbaabbabaa
+bbaabbbbbabaabaaaaabaaaaabaa
+abaaaaaabbaaaabbbbabbabbabbabaaabbbbbabbaaaababababbaaaabbabbaaba
+aababbabbbaababbbababbbaabbabaabaaaabaabbbbabaaaabaabaabaabaabaaaaaabbbbaababaaabaaaabbabaaabbbaaabaabaaaaa
+baaababababaababbabbaabbbbaabbabaabbbaaabaa
+aaaaaabbababbbbaabbaaabbaaaaaabbabaabaaababab
+bbbbabaaabbbbaaababababbababaabbaaaabaabaabbabbabbbbbbabbbbabbaaabab
+baaababbbbabbbbbababbababbbaabaabaabaaaabb
+bbaaaababbbaababbbbbbaababaabbababaaabbbbaaaabaabaababbbbbaabbbba
+abbbaaaaababbbaababbbaabbabaabbabbbabbbbabaabbaabbaaaaabaaabaabbaabababbabaaa
+aaaaabbbaaaababbbbabbbbbbbbabaaababaabbbabbbb
+bbbbabbbabbbbbbbbabbbabababbababaabbbaaabbbababaaaaabbaabbbbbabaaabaabbbbbabba
+baaaabaaaaaaabbbaaaabbbaaabb
+ababbabaaaaabbaabbbbaabaabbbaaaabbbaaaabbbbababbaabbb
+aababbbababbbabbaaababbbaaaabababababbaababbaaabab
+babaabbbabbbbaabababaabbbbaaaaaabaababaaabbabbabaaba
+babaabbbaaabbaababababbabbaabaabaabaaabbabbabbaaaababbabbbbbbbbaabababa
+abaabbaabaabbaababbabbbaabbabaabbabaabaaa
+aabaabaabababbbbbaaaabbbabbbabbbbababaabbbababbbbabbabbbaabbabbabbabbbbbbbbbaabbbbbabaaaababaaba
+aaabbbbbaabaabbabbbbbbbabaabababaababbabbbbaabbabaababaababababb
+babaaaaabaabbbbaababbbbaaaaababbbabbababaabbbaaaaabbbaabbaabbbaabaaaaaaabbbbbaaaabbaaaabbbaaaabbababba
+ababbbbaabbaaaabbbaaba
+baabaaabbbbabaababbabbbbbabaaaaaabbabbbbaabaaabbbbabaaababaa
+aaabaaaaabaabaabbbaabaabaabbbabaaaabbabbaababaaabaaabbbbaaabbaaaaaaaabbaaabbbaabaabaaabb
+babbbbbabbabbbababbaababaababaabbbbabaaaabbbabbaabaabbaababbaabbbabaaabbaabbbabbbaaabaabababaababbbaab
+aababababbaaaaaabbbbbaaabaaabaaabbabbbaaaaaaababbaaaaabaaababaababaaa
+aabbababbbabaabbaaaaababbbabbbaaaaa
+abbbbaaaaabbbabbaaabbbbbaaabaaaa
+babbabbbabbbbaaaaabaabaabbbbaaaaaabbaaababbabbababaaababaaaabaaaababaaa
+abaabbbabbbbbabbbbbabbbabbababaabbababaabbabaaaababbaaaaabaaaabbabbabaabaaaa
+abaaabbaaaaabbbaaabbababbbbaabbbbbbbbaababbabbabbbaababababbaaaaaba
+aabbbbaabbabbaabbbababaaabbbbaabbbaabaababbbabaaababbbbbababbabbaabbbbabbbaabbbbababaabb
+babaaabaabbaaababbbbbaa
+abbbaabbababbabbaabbaababaaabbbbaabaabbbaaaaabababababa
+abbbbbbaaaaaabbaabaaaabbabbaaabababbbbbabaabbaabbaabbbbaabababbaabbbabbbaaaaaab
+babbaaaabbbabbbabaaabbabbaabaabaabaabaabbaababbbbbbaaaabaaabababababbbbbbaaababbababababababaaaaaababaaa
+bbbbabbbbabbbabbaaabbaaababaaa
+bbabaababbbabbbbbaaabbbabaaabbaababbbbabaa
+abbaababbbbabaabbbabbaababbbaabaabaabbbabbbbabbaaa
+babbbbbaabbbaabaababbaabb
+aabaabababbbbbababbaabaabaaaaaababbaaabbbabbaababbbbbbaaaabaaabbababa
+aabbaaababbaababbabaabaababbabbbbabaaaababbaaaaaaabbabbbbaabbabbabaaaabbbbbabbbabbbbaaaababbbbbababba
+bbbaaabaaababaabaabbbbaabaaaabbbbabaaaabaaabbaabababaabaaaababbaabbbaba
+aabaabaaaaabaabbaabbbabbbaaabbaaa
+aabbbababaababbbabaabaabbaabaabaaabbbaaaaabaabbabb
+baabaaaaabababaababbbbaabaababbbabbbbabaaaaaabbbbbbaabbbbaabaababaabbababaaaaaababababababab
+baaaaabaaabab
+babaaababbbabbaaabbbbabbaabbbaaababbaabbbbabababbabbbabaababbabbbaababbabaabbababaabaaabbbaabaabbb
+aabbaaababaabbaabaabbbabbbbbabababaaabababbabaaaabbbaaaaaa
+aabaaabbaaabbaababaabaabaaabbbabbbbbbabababaaabaaabbabababbbaabbbab
+bbabbabbaaababbabbbaaaaaaaabaabbabbbabbaaabaaaabbaaaa
+aaaaabbbbbbabbababbbaaaabbaabaaaaaaabbabbabbbbabbbbbaabbaabbaabbababbabbaaabababbba
+abbbababaababba
+bababbabaaaaabaaaabaabaabbbaabbaaaababbbbabbabaaabbbaaabbbb
+aabbaababbbabaababbbbbabbbbaabaabbabbbbababaaaaabbbbbbbbababbbbbabb
+aaaababbababbbaaaaaabbababbbababab
+babaaaaaabbaaaaabbababaaaaababbabbaababbabaabaabbaaaababbbbbaabbbbabbbbabaaabbbabbabbbbaaabaabbbbbb
+abbbabaabaabbbabbbaaabbabaa
+aaababababbbaa
+aaababbaaabaabaaababaababbbbababbabbbabaabbbbbbaabbbbbbaaaabbbbbab
+bbbbbaababbabaaaabbabaaaaaabaababbabbabaaabababbbbabbabbbbbbabba
+baaaaaabbbabbabaaababbbaabbabbaabbaabbaaaaaababbabbabbbabbabbbbabaababbbbabbbababbbbabbaababbbbababbbbbbbb
+abbaaaabbbabaabaabbbba
+ababababbbaabbbbaabbabababaabababababaaabaababbabaabaabbabaabbab
+babaaaabbb
+aabaabaaaaabaaabababbaabbabaabbabaaaaaabbbbaabbbaaabbabbbabbaababaababaabbbabaaabaabb
+ababaaabbabaabbaaabaaaabaababaababbbaaaaabaaaabaaaaababbbabbabbaaaab
+bbbabbababaaabbaaabaaaabbaabbbbabbbaaabbbbbaaaababbabbababaabababbabbbbbbaabbababaabaaaaabbbbabaaaab
+aaabaaabbbbaaabaabbbbbaaaabbbabbabaabbbaaaabbababbabbaabaabb
+aaaabbababbbbaabbbabbbabbaabaababbbaababbaababbaaabaabb
+abbbbbbbbbaaabbabbaaaabaabbaababbababbbb
+abbaabaababbababbabaaa
+abbbbbaabbaaabababbaabaaababaababb
+bbaabbbaaaaaababaababbabbbaaabbbaaabbaa
+baaaabaaaaaaababbbaabaaabbababbbaaaaaaaaaaaabaabaabbaabbabababbababaaaabbabbaabbbababbbaabbbbaababaababaa
+abbaabababaabbabbaabbababbabbabab
+abbaaaaabbaabbaaaaabbbababbaabbabaababababaaaabbabaabaaaabbabababbbabbaaabaabbaaabaaabbababbbbbbbbaba
+aaaaabbbababaaaabbbbbabbaabaaaaabbabbabbbbaabbbbaabbbbbbaababaaababbbbbaabaaabbabbbbaaabbbbaaaaaabba
+aaabbbbababbbba
+bbabababbbbbbbaabaaabaaababbbaabbabbabaabaaabbbbaa
+baabbbaaaabbaaaaaaaaaababbaaabbaabbaabbabaaabbbaabbbbbbabbabaaaabababbabbabbbaaaaabab
+bbbaabbaaabbaaaabbabbbbbaabbbbababbabaab
+babbabbbabbbabbbababababaabaaabaababaaaababbbaababbab
+bababababbaabbabababbbbbaaaabbbbbabbbbbabbaabaaabbbaabaabaaaaaaabaabbaaaabbbabbaa
+baaabaabaabbaa
+bbabaaaaaaabbbabbabbbbabbbabbbbababaabbbbababbabbaab
+abbbabbabaabbbabbaabaabba
+babaaaaabbbbaabababbaabababbaaabbbaaabbbbabaaaabaabaaaabaaabbbaaaaaa
+bbabbaaaabbaabbabbabaabbbabababbbabaabbbabaaaababbbbbbbbbaaabbaababba
+baabbbbabaaabababbbaaabaaaabaaabbbbaabbbaabaaabbaaaaabbaabbbaabbabbbbbbbaabb
+ababaabababbabbbbaaabbababbbababaaabbabaabababbaaabababaaabbbababbaabbbaabaaabaaaaabbbaaaaaa
+bbbaaabbbaaaaababbbbbabbaaaaaabaababb
+bbbbaabaaabbabaaaabbabaababbbbababbabbbaabababaaabbbababbaaaaaaabaaaaabbbaabaaaabab
+bbbabaaabbbaaaaaaabbbbabbbababbbabbbbabbbabbbbaababbaabbaaabaaaaaabbbababbbabb
+ababaaabbbbbbbaababbababab
+abbabbbababaabbabaabababbabbbbabaabaabbbabbbbababaabbaaabaaabaaaaabababbaaababa
+bbbbbaaaabbaaaababbbbbaaaababbbaaaaabaaaaabbbaaaabbabaabbabaabbbaabababab
+aababbbbbabbbbabbaababbbaabaaabaababbbbabbbaa
+babaababbb
+abbababbbababaabababbababbbbbbabaaaabbabaabbbababbababaababbbbbababbaabbabbabbabababa
+baabaaabaaaabbbaaababbbaabbabbbaabbabbaabbaabaabbbaaababbabbbbbabbbabbabbbaabaa
+abbababbbaaaabbbaaabbabbbbbbbabaabababbbbabbaaaaabaababbaaababababaabbbaaaa
+bbaaabbabbbaabaaabbaaaaababaababaa
+aabbabbbbbaababaabbbbbbabbaabaabbbbabaabbbbaab
+aabaabbbabbabaabbbabaaaaaaaababababbaaabaababab
+aaaaaaaaaabaa
+bbabaaababababaaabbbaababbababbababbabbaaaaaaaababbbbababababababaaabaaaaaabaabbaaaaaaaabbbbbbaa
+bbbabababaabaaaabbbbbabba
+abaabbabababaaabbbaabbbbbbbaaaabbababbbaaaabaaababbbaaababba
+ababbabbbbab
+aabbaababababbbbababaabbababababbabbabbbaababbbbbaaaaababbabababbaaaabbbaaaabaaab
+babaaaaaabaaaababbbbbbbaabbbabaaaabaaaabababaababbbaaabbbabaaaababbabbaaabaaabaabaaabbbbbbbbaabaaaabbb
+baaaaaabaaabbaaaabaabbbabbabaaaaabbbaabbbbbabbabaabaabbabb
+aababbababababbaaabbabbbbbaaaaabbaaababbbbaaabbabbbbaabb
+bbabaabbabbaabbabbbabbbaabbbabbaaaaaaabaa
+abbbabbabaabab
+babbaabbbbababbabaaaabbbbbbaabbaaabbbbbabbbabaaabbaabaabaababababb
+babbbbbaaaaaababababb
+aaabaabbbabbbbaabaaababbaaabbbbb
+bababaababbbbbaaabaabbaabaaaaabaabbababbabaaaabbaaabbaabbbbaaabbbaababbabbbbbbab
+bababbaaabbbaabbababbbbaabaababaaabaabaabbaaabaaabbabaaaaabbbaaaaaabaaababbbbbababbabaabbaaabaabbb
+aababbabbbabbaaabbbabbbabbbaaaaabbabbaabaaabbabb
+aabaabbbbbaabaaabaabaabbababbbbbaaabbbaabaabbbaababbbaabbaabbbaabbabbaabbaabaabbbaaababbabaabbaabaabb
+bbbaaaabaabbaaabbaabbababaabbabaabbbaaaabbababbaababaaaaaabbaaabbabaaabaabbbbaabaaabaaaaabbaa
+babbaaaabbabbbbbbaababbabbbabbabaabaababbbbabaaaaabbaaaabbabbbbbbabbbabbbbb
+babbbbbaabaaaaabbababaababbabbabaabaabbbaaaaabaabbbbbbbabaabbabaaabaaabbaaabaabbaaaaaaaabaababbabb
+aabbbabbbbbababbbababbabaaaabbb
+bbbbaabbabaaaabbbaabaaaaabbbababaababbaaaaba
+aabaabbbbbbabaaaaababbbbbabaaba
+bbababaaabbbabbbbabbaabbababbbaaaaabbbaaaabbbaaabbbbbaaaabaaabababaabaaabbabaaaaabbbbbbabaabbabbbb
+aabbababbbaaaaaabbbbaaabbbbaabaabbbbbbaaaabbbbbaabaaaaaabaaaaaabbababbaa
+aaabaabaaabbabbabbaaabaaabbaaabababababaaaabbbabbbabbbababbabbaaaabaab
+aababbaaabaabbbbaababbbbbbbbbbaabaaaabababaabbbbaaabababbbbbaa
+aaabaaabbabaaabbababbabbaabbaaaababbbaaaaabbbabababbbbaabbbababbb
+bababbaabbbabababba
+bbaababbabaabbbababaaa
+babbbabbaaaaabbabbbaaabbbaaaabbaaabbbbbaaabbabbabbbaaaabbbaa
+aabaaaabbaaabaaaaaaaababbaabbabaabbbaaaaabaabaababbbabaaaaabbbba
+abababaabbbaaabaabbbbabaaaabbbabbbbbbbb
+ababbabbabbabbababaabbabbbaabbbaabaabbbabbabaaabbbabaababaababaaaabaababababababbaabbba
+abbbbaabbaabbabbaaabababbbbbabbabbbbaabbbaaabbabbbbbbabbabbbbbbabaabbaaa
+abaaaaabbbbaaabbbaaaaabbabababbaababaabbbbaabbabaabbbabababbbbbabb
+abbbbabbabbaaabaab
+baaaaaabbabaabbbabbbbbbababaabbaaaabbbababaaababbbabaabababbb
+aabaaababbbbabbaaba
+abbabbababaabaabbbbbbbbaaaabbaaaababbbabbbbabbbabaabbabbbaabaaaabaaaaaababababbaabaabbaabaaaabaaaa
+abaaaaaabbbbbaaabbbbab
+aaaaabbbbbaababbbabababbaba
+bbaaaaaabbbabaabab
+abbaaaaaababbbbabbababbabaaabaabbaabbbaababbbbbbbbbabaabaaabaaaabaabbababaaaabbabaabbbbaabbabab
+bbaaaaabababaaa
+abbbaabbbbabbbbbaabbbbb
+aababaaabaaaaaabbbaabaabbbbabaabababbbabbabbaaaababbbbaaabaaabaaabaaaabaabbabaabbabaa
+bbabbbbaabbbbabaababbbbbbaabbaaaaabbaabbbaabbababbbbabaaaabbabaaabbabaababbaababbab
+aabbabbbaabbaabbbbbabaabbabbbbababbbbbababbaaabbbbbbbbaababaaababa
+ababbbbbababaababaabbaab
+abbababbabbb
+baaabaabbababbaaaaababaababbaababaaaaaabbbbaabaabababbabbaaaababaa
+ababbaabbbbaaaaababbaaabbaabbabbbabababbabbbbbbbaaababaabbbbbbbaababbbbbbaaaabbaabaab
+aabbabbbaabbaaabbbabbabbbbabaaaabaabaaabababbabbabaababbbaaaababaabbabbabbbabababaaaababaabbbbaabbaaaa
+ababbabaababbaabaaabaabaabaaaaabaabbbbbbabbbbbaaab
+aaabaaababaabbababbbbbbabbaaaaaababbbabaaabbbbbaaaaabaaaababbbbaaabbabaaa
+bbabaaabbaabbaaaababaabbbbaaaa
+baaabbbabbbbabaabaabaaabbbbbbbaaaabaaabbbbbbbbababaaaaaabaabbaaaabbabbbbbbbbaa
+babaabaabbbbaaababbbaabababbbbbbbbaaaba
+aaaaabbbbaaabbbabaaabbbbabbbbabbbabbbbbbbabaabbabaabaabaabbbbbbbaabaaaabbaaabbbaabaabaabbaabbabbbbbbbbbabbaa
+abababbaabbaabaabaaaabbbbbaaabbaaaaaabaaabbabbaabaaababbbabbaabaababbbabbababb
+aabbabbbbaabaaababaaabbaabbaaaabaabbababbababbaaabaab
+aaababbbbbabbaabbbaaabbbabababaaaaabaababaabbababbbbaaabbbbaaaa
+149 3
+dabddcabcdcacbcaaadabbaddccadbacaccdddcbacdaba
+cddaccaabaccadcbdbcdcdddcdddcddcdaadbaccaadbbcaab
+bbcabdaaaaccabacdd
+cadbadddacbccddbcbcbadddacdcbbdcbacabdcdacccaabbadb
+cddbdcdcbadabbabdcaddaacaddcbcbadbdddabbcdbbcbcdcbbaaddbcaaaddcd
+cbbbdcbcaacaaacabdcdbabbbaccbcdbbdcaabbdcdacdbdddcbbcabddcdccacbaaaaccdaddaaddcbdadddaaacdabdc
+ccbabddabdbbcdbcdabacabadacccbcbbcbcdaddaddbdcbaadbbaaaadbccacbcadcababcacdabaabdacbd
+dbdacdccbbbccdcababadabdccabbdaccabadbdadcdac
+daadcbdcddbbdaaccdccbccadacbbcdacbbcbabcbdabbacdabdcbcbacbcbdbcdc
+bcabccccabdccabbbbcddbacbabbcacbcadbabbacabacdbdaddc
+dbabadcbbdddaadbadbbdbdaddbbbdaccbbaaaadcbabbcdddddcadddabcabbdacbaadbbdbdbcabddcabccddababca
+ddadaaababbbcacccccdad
+cbcddcbcaabbddcbadccddaabcabdadccacbbcadadbdcdacdabbdddbbbbdcddbabaddcdbcbcaddbaacb
+dcddabbbdacaccccabbcddbbaaccdbbbccb
+cacabacccbadcbbccdbb
+abbcbccdbbccaadcaadcabbcabaacb
+cabdaabbadcabdbcbabcccbabdaccbadbcdcadbbccbaadcbaaacabdbdacbddacaccabbadaddcbdaacdbabdadad
+addbadbbbbacddaabddcddbccdadaacdcbccbcbcccdcabbdaddcbcbdadbbcdcacadcbaadbbaadaddbbdabcdbaddddcdadcba
+acabdcdcdaabd
+ccbbdabbbbcccddbabddbdabbdcabcbcbca
+dbcdadacbbaacddbcbbdaadddddddbddbababaadbaadbcaa
+dbabdbaacdabcdbcbddbaddbabadcaadbdcdabadddabddcdadbacbaadbbacdcbaadcaacaadaddddccabdcbaaad
+cdaadcbcccddaccccdcbbcbdaddcdcbbadcacdaddddadadbbccbcbb
+adbabcaabccbaabbdadddbabccdcacacdcdd
+ddadcdddcabdcdbbb
+bbadabacadcaaddbbbcccaddccbcddbacaaaabadcaabbdaccaddbaccbbdbdcbacdbdaabdcabcbbdacabbccbdaba
+cadbbccdadcaddaabcbbdbcbabddcdacaaaabbacbddbccbadcccabcbccaddaaabadccbdbdaaabdd
+bbaadbcbacaccbdbbdaaccbbabdbbcbaacadabccbcdbbcdbdaadc
+dcbdacdaadacdcaabbdddcaabdcabbacddbdcbacbadddcccdaacbd
+cbdacdcccbccbdbdbdcbd
+ddacccbadccaddbbcdbcdcbabbbbbabcdcbcbbccacbdcddbcdcbddbbadbaaabbdb
+aababaaacbacaddcdcbaadcdcadddcaaabbbcacbdabddccabcbbabacbccbdbcabbddabb
+abdcabccccababcdcdccbbbbdbbabababc
+cddcabdbabacbccdcd
+dbaacadbbadacbaabdbbddbabcbdccbbccccadabdccbbccbbdcacbcaaddcbddabaaabcb
+baabdaccacaddccdddbcbddcbbdbccdadcaccdaaabbbacbccbabcaccbac
+dccadacadabbdbacbaacadbaddbdcdddcdcdcbcaabbbdccaaccdadaadbbdddbcbadacabaaadbcdcdacbaacbccddacdbcbdaccdbaadd
+dcddabbcaaaaabadadadbaacccdadcccbdddcacbaacdba
+bbbccddacbdabdacadddcdaddccddccdbcacbdcdbacddadddbabcaaacbbb
+cddcabbbddcdddacbaabbdadcbdbbdaacbbadbdabdccbcabdaadbdbcbbdadbcabcdcdbaaaccadbdbababacbaaddadbc
+abdabadaddadadccdaacbadcdcdadadcaddabdbabaadbbddcabbbdbacbccaacbbaaacabddadcb
+dadbdbaaacbabcababbabcddbdcaddccadadcdcdccbcabbabbaaaaadcbabbbacdbcbbacaacbcdaccdabbcddcdcbdcaadadddaabbbddd
+cacdddcadcadbaddbacccdddbccdbabcdbcdcdadacadc
+baabbdacabdcdcaabaacddccacabdbbbaabdccaadcccdccababcbbacadacbbdadbaccadcbdbaadcabcdadbddbdcadbbcdadbcbcbbd
+daaadddacabcadadacbdbbcaaa
+dcacbdcdbcdcadadcaddbadccbaddcbbacbccbadcabdaabadcaaddabadbbabacbddcdaabd
+cacababdaacacdddcabddbaddcacdccccbcbccabacbcccabccacabddaccbacdcdccd
+acbabdcbdadbcbccaaabdbcbadcbadaaaabacbcbdbdbdcccbabccdbcdaacdcbdcdcbaababdddcccbadbabcadccbdcccbbaabbcdddadac
+dacadaccbbc
+cabcbccbababcdadaccdcbacbbcbabbcacdaacbbbbcadadaadcaddbaabaacdaddadbbadd
+bbdcadbbabaadcbdccaaccccdacdbbaaccdcdcdaccdaddbbaadbaa
+dbbaadacdc
+cbdadddabdcdccccbbcaabdbccbaadbc
+dbcbbdcacbcabdbddbbaadaaabccbadabcbcacdbcbc
+cdccdaddacbbbaddcdabcdcbbcaacabdddbdcadabbddbbbcccdabacabcbbabacadbcccdbbaadcaabaaaaaddcbaccdbbdcabdbcacbacda
+abacdbaddababbaaccbcccdadaddddca
+aacdcdaddcccbbdadbdbcdcbbcacadcaccccdbdcdacaaddbaadacddacabddcadccbbaabacbd
+dccbcbcbbcdbbdbacbcccc
+bdacbcbdaaaacacbdcbcbbacdbbbbcdcbdbdcdbbcbbdaacbcbadaccdbddcdbaadacbbdccdbbccddadcbddba
+acaaaccddadbcadcabbbdbabdddcddbda
+cbabcddaaccadaaadbbbccccabcbadbbccdaddabadcadbbcaadbcbbcababbacadccdabadabbdddabbaa
+acdcaddcdcbcacdbccbcababababcbcdcbcbadcbcddbccaacbadbcabbbbadbcddddacbbddbccbcdabcbdb
+bdccbddddaaccbcccbbcabcbdcdcdaaccdbdcadadadaadddbdadaaacbdbcbb
+abbaccaaddcaddbaacdcdababcaabdddbbbbababbbaccabcdcbdaabcbbddbdbcddbacdbaa
+cbaddccabdcbdbadbabbcaacdacccbc
+aaccaadacbcbbabcddcdcacbdabbdacdbbcdaccccddaadddbccdbaaabaacabca
+aaabdcbcaababcabbbbacd
+acbbbbbccdbaabbcabdbbbaacadcdaadcdaacbbabdbbcbddccddabdacdddbdbcdccaddbacbbadababccddcb
+aacbddabaddbddacbabddaccaddcdabdddddaaadbd
+aaabaddadabdbddacbbaacbdbbbcbabdcddcadbbbdabccbacccdbadbcbdcd
+bddbdacbdbcdbdadddaaabccabbdcdcadbdddc
+bbdcbaaccdcdbcdbbbdadbabaabcddddabbddbbdbcbbbbcaabccaaabdbadadddcacab
+ddadacdcadacbadda
+aacbdcbcddabcbdaadccabcadcdbbbdaacddbcccabadbbcadbcc
+dbacdbdbdabaadbcddcacaabdddcbbabbccddcdbaacbbccddaaddccdbddadccdacaacbbbcaadaaabddabbaacaddabcadbd
+daacdbdacccdbaccaaabbaabcddbcacbacbdddddcacbd
+cadcbdcdabcbddbbabdcddcbaacabaaddadacbcbddbda
+daaacdaadabcadccabacabcdcdaddbcdababacdddaddcb
+acbcabbcabcdaadddbaaacabcbcccdcbaabccaaccdabcdcdbabacaddaddbcccbadaabccbcbcacaabccacaabcaccdbadabbcdbbb
+ddcdabbbdadadaadcaaacccbabcccbacadcaaababaccadcbdccbadcdda
+cacdbdbddadba
+aadbcaddaabdc
+bbbacdbacdaccbbcadbdcdadbcdaaaacacbadacdaaddababbccabcdcaccbadabdbabadcdbdcaacbcdacbbcdb
+dcddcaacabdccccbcdabdaabbadbdabaddacb
+daaaacdcaacdadac
+dcdabbaddcbbdaacaadaddbabccc
+acbbdbbbaddcbadcaacdbabcccdadcaabbcbbbaccadbacccccaaacbdabaa
+bbadcabbbabbcbbbbbbdb
+dabddcaccbcccbdcdacbbdacbbccaccdcc
+ababcccbbbaabbcccdbbaadccbbacabbcdddadccbdcdabbdadcacbcbccbcaadbadbacccbbbacdccbbcb
+aaadcbdaaddaddbccdbbbadababcbcbaaccdddddabbdcdbcccdabcadcabbbdcbddddcaadabcddaabccccbbcacacbccdcbbdccccdbdac
+daddcabbdabcacccddbabcaddcbdaccddabccccbaabcbddabaccaacacddcc
+adcaabdacaacdabcbacbddcbbdddbdbdcdbdacabdcacbbbadcadaabbabdabddbccbbcadcbdccdbb
+daaacaccaabcbacdcaadbbcdccadbb
+bbcdbbdbcccabacbdcbdbddadacbbabdb
+bdcbabaccacbdcccccddbbacbdadddddadbbdabbcaddaccaa
+abdcbcadaadcdaddbccdcaacdbdaccdbdbbcaacbcbacccaccabdccddbbdccbcdabbdcdaaacdcddccabbcbbadbbaccadadcdbccbdbc
+adcdccbddbadbccaadabbbcbcaadcaddbcbcabcbacacbadcdccbbccbcbdbbbbccacadcdbdbabadabccccbacdabbcbad
+aaaacdaacbdcbdabcccabaaacdbabcaadbcabbcdaccdacabcaacbabaccbcdaacddaabbbabcadbcbbcbbaaacdbbabddcbbbbaa
+bbdadccbcabdacadabdaacbaadbadcbcdcdddcdcccabcddcabbcdaddccddabddaddcacbadbdcbcadba
+cbacdbdcbbcbaccaaddccacacbdcbcbaadadcbbcbbbdcccaddcba
+daddbccaadbccbbcccbbdccddbadaddadbdaacddbbddaaaccbdddabcbcdacddcdcabbabddbbdabdbbababdccbbaddddaccbccabdc
+bbdbabadcbaacdacbbcbddbdaccdcadbcadcabdcabcdbdbaacdccabbdc
+dbdccddccabdcaadddadcdbcbdaacdcdababcddadadaaaabbdacccc
+ddbddddcdbabdba
+baacccccaadadacdcbdcdbcabcbdaacdbbcbbcabb
+aabaaacccaadbbdbbaadcabbbadcbbdbbdabccddbdcdacadbbbacbbdbdacbcbddcddbabba
+bcadcacdaadacbbdcdccdacbacbdcccbaabaadbdcd
+cdbdbbbbacadcdbbcdadcbacaabdaccdddcddaacbdccaa
+ddaabdacbcdcabccdcbdabacddacaccdacbbaddbadbaaadacadaccacbadbcbdacbbbbabcbdcadcdbdbbbbcbaabaadaccbddabdbba
+cbdbcbcbdcdbacdcdadabbbcdddcbacadbaaabbaccaacadcbbbcdbbccaaddd
+cabbaabbccaaadbaadcdadba
+ddbaccdbcbdcdbbdccdbdbcaadccd
+dbbdcddadbccbccddcdcbddbaabb
+dcaaabaacdabaddbbcdddbbabccdbdbdbbaaccaadcddabcbcabcbadccacccab
+bcaddbcaabdacadabbdcdccdbdabdbacaddbcadcdcddbcbdcabbcbcdbcacdacdbaaabdccda
+daacbddcdddcccbcccdcabbbcbdccdbdccbdbdc
+bacacdbbbacddd
+cccbacabbddbccbdbcbcbbcccbadbdbacdccccaddccccdbbacbadabdcccbdaabdbdbdadbdabcbccbdbcacaddbbaacdbabdccda
+cdcbacdcaacdadacbbaaaabddbbabdacacaccbaddcabdd
+dbababaaadbddaacccdcddaadcaddaabdcdcabcbdbdddbccbcdbcdcadadcdcabdccddabdcbddacacbbbbdaabacbbb
+cbababcccddcdcaccabcccaddcdbabbaabaaddbdacdcadddddacbaddbcaddaddababbddcabbddadddbdbdbdddab
+ccabbbdabbddcaadbaadcdcddbacbabaadabcdbadbababbaacabccdabdaacddaaccbbddccabdaabbaccccdcdaccacabd
+bdbdaadbbcdbcbbcdcacabbacdccccdaaabcbcdabcaaccbbaaddcababcbdac
+dccabadbccbcacdbadadaabbbdbbababccacbaddcaabbddcabdcdbccbcbbabdaacaaacddcabdbbcdbcdcacdbaca
+adccdcadaacdcaaddaabcabdbbbcbcdbdcdacacacccbaccababdaaacbbcdbbaccc
+bcbbddadbdcabdcad
+adbbcadccbbadbbbbccab
+ddbadacacdabacdacadcdbaacccdbadbcbcdbdddccacaaddaacbbdbbdd
+cdacdcaacbdcbabcaaaabadaacdcadabcbadddaadcacabbcdcddadbdcdacdccccddbaadbdabaaaadbacdcdacbddbdbcb
+dabdddddaabaacbbbabdadcd
+bababdabbdccbadadbcccbbcdbcbcddddbbcbbcacccaacdbaddaadcdaadbbdaacadcadbcadcdbcbdbdccdcbdbaadccddadab
+abdbaacaadabaa
+acdbdabcdcccadbacadadabdcadaadcdcaddbaddadaddaacbdbdcbdcddbbbbcaabccbcbcabaaabacdadccdbdaddb
+dbdbdaccccadcacaddccbabbacbdcbadacdbabdbbaadacccacbdbcccdabccbabbabbaaddacbddabdbcadababccbabbcadbdc
+bbbcccacbcacaddddcbcbacddcbbacaabcbabdddcacbbddbcdaacababbdabcccbbccbdbbcddd
+ccabbcbabbbcadcbaacaabcbbccacacbbbdbacdacbbccbbcacb
+cdaacadaddcabdbccddbccbdbcbacbcddcadaddbbdbbaddccdbbddcbdddcddbbaabdadcbdddadadcbbcdcdbdbcdcbbbcddbcbdbccacda
+dcbadadbabdbdaaddcabdaadbcadbadaaddaddddcbdaabdcabbdaaaad
+dccbbbacdbaaddbcc
+cdacdaadaacaccdabcabccbccbcbdbbbd
+dabcadbaddadbaadccaaaacacbdcddadadabdbcbbcccaadcadccddcacdcbd
+cdcddbcbbcdaccacadbabcbabdaacaadabdaacaaadbadddcdddddbbdacddbaaaaadbddadacdabcadcbbadcdbbbdccadbdcbaca
+bcbdaaaaccbbdaacbdabccaccdcbdcbbaaabbdcaddbcdadacccdcba
+abcbdcadbaacdabaabdabbbbcdadbcabdddcddacdccdabddccad
+aacbdcdcacdabdaddbddcbddbbabacb
+abacbacaacdadcbadddbbcaddbabccbbbcc
+aadbdbbbbdbbaccbacbd
+cddbbdcbdadccadadccddcadbdddcdcddbabaabcbddccaacbccccbcabccbcdaccccddbaaaddbbcb
+49 2
+ccaacaacabddcabcadccaddb
+abcbacccbbcadabcbda
+bacbccbcaaaaaadaddbbdadccbbbcaabadadbcdbaccddaacddacbbc
+cacbdaaaacccddccddcdccaadcdaabcdcdccbabaaddbaabdcdcdcbdccbdddaad
+addbbbbadacdadddcbaabadabbacacd
+bcdadbcddacaadbaaacbcbacddcdcbaabcbcccbbacdacadacbdccbdcacacdccabcadadabaadbddaaaddbabccbdc
+dcddcaadbcadaacbccddbbdcdbbadbabacbaacbdaccaccaaaaddaccabdacd
+adadccabcbcdcdbacdadaabdcdabaacdbcadcdaabcbdddbbddddbcddbaacbddddaddaaaa
+bcaddcdcccbacbacbaccac
+dddcaacdddcbbbacdacbdcbabcaacbcdddbadd
+bbabadbcadadadadcccbacddccdbaadabaaacbacbddaadcbacacacddcabaacc
+addbbbdbdcaacccbcbac
+bacabcbaaddacbcacbacadabbaccabdcdccacbadcbadbcdaaacdcdabbdccaca
+adabbcabcbdbbaabbbadabadddcdddbdbdbdcdbddabdcbbad
+cdbdbbbdadaabbdaadbbbbacdabaabbcdbbdbdbcbdabdbbdaadaabcbbba
+babacdbcddababdbbcacaaabdcdaadddaacbcd
+aadddbcaddaccccdaacdadbbadbacdbdccbdbdcaadcd
+caabbbbabcbbcccdaacaacacdbbbcabdc
+abbdaadbcdaddcaaacdaadaddbddadadbcacadccdbdcacbaacbacdcdcaabcacdcbccaddabcbcdadbabdc
+dbdcbabcacdadcabdcddaaaabaacbdbacaadbacadacacdacccaddcabdcdddabcaabddc
+dcabdabcacccadacdcbddabadbdaadadacacababadcddcdddccdbdacdbbcbcdabcbddcdaddbacdbbcacabcadcccdbdbaccddddccbbdd
+ccbcbadaacdacbbdadbdacccacbaaccabdbaaaacbcacd
+ccaaaadabdcbcaaadccbcddabccabadaacccbdbddcdbdaaccdcdbdacac
+caacdcdbdcdbdccdbcabbcacadbbaacdcbcbdabbdcddbaadbcbcdbbaccbabbcbdccddddaccbcaaababdac
+bdbbaaabbcdacdadaccbcdcddcadcdadbdcccccbdbabbdbcbacaabacccdaabacbaaacaaccdbcbcd
+bababcbbbabccbdcabcadddcbdbbacbbcccbbdbbabbaccbcbcdabcadcaaddcbdacbaddbbbddddddcbabcbadaccadcd
+dbadddcabccdaaadacaadbbcabbdbbabccaacbbaabacddaaddbacdbcdaaccbbaabbdccbdcaaaabcbcadddaacdbbbcbaaddbcbcbaaad
+bdababbbbbadcaccbda
+bbbcababbadbdccdcdcbcdabadcdbcddaddbbcadaaddbbadababddcaabacadaddccdcdddacaadad
+accddbadbbacbdacaa
+cdacddbddbacbbdcdcbabdccddaddbacccbbabbddbdaacbbbaabcaadccaaabdabb
+aacdbcddccbddbccbccbdcadcbbcdadaadbcdcbbbaadbcbccbccaacaaabcbac
+accdcdaacbbcdcacabadcdcdacaa
+cacccbcadbacbbccbdbcadaccabdcabaabbccbcaaddadaad
+bbddcaabddaaddacbdbcbdababdcbbdbdadcdaaabdacbbbcddbadcbaddcddcddbacb
+bccccbdbbacbbddadbcddbada
+ababccbbbdaacaabdaddbbadcaaddcdcdbaacaccaccdc
+cdbcabdadbacddcacbdbbdcacbdacdcdbdabaddcdabbccaccccabcbdbacdccccdaaccaaaaaccbccbb
+daddcdbadccadbaadccbbcbcbabcccddbabaaabccbddbccdcacdacaadbcacccbacbbcdcbadabcdbcddddddbdbdbacabbccaddbcddb
+baaddaabcc
+adcbbcabbcbbabcccccdcbdbcaabaccadcd
+dbbbcdadbcbdabadccaadadccbdaadadcdccacccbcdcccaadbdcbdcabbabbbddadddcbabccbcbacaddcbacbddccbaaabab
+cbcbcabaadbabbcbaddbcdacaccdacdcababccdbcadccabcbbddcdadacbdacadbbadbbdcdcabaaccaddcbdbaadadcaabacacccc
+cacbbdabdbaddcadbadabadacacbdadbadbdcccdadddaccbcccbdbcabbcdcbbccbabcbddadabbadccdacaaaccdbbadcbbcacbcbba
+cbbaaccbbbdbcdaccaddbcddcdcbbddbbbbacbbadbccccbdaacbcddddaacacddddbbbdccaaabadadabccbadcccccabadbcb
+dccadaaabad
+bbbcbbbbcbdcccbcdbaaaddcdcadccdccdbadbcacccbaccbcddbbdacdddccdabcd
+dbddcdcbbcdc
+cdabdaabccbabcdbcaabbdbabdaccabdbcbcabcdcbadcddbacbbaccaacbbcddbccdcabbabbcaadbcddadddbadbccbccccbcdbabbaacab
+42 34
+aabccccccbaabbcabacccaccabacacbaaaabcbcabbcbabccbbbbbcbbccbcbaaacbabccaccabacaabbaaabbbacabcca
+cacbbaabbabaacacbbabcabaacccababbcbcbabbbbbbbbaabacaabbbccbabbbaacacccb
+bcaaabcccacaaccabaaaacccbacbbcacc
+abcbaccbacbcbbbbaccbcabbacaacabccabcaabbbbcccaaccacabaacbabccabcabacbabcbbcaabccbbcbabbcccabbcabbcaabaabab
+cbcaacbcccccababbbbbacaaccccbcccbacaaabcbaacbbaccbbbc
+ccbcbabbbbbaabbcbbccabbcaccccaabccaabcaacbcacccabbbbcaacabacabababaaabba
+baaccbccacbcbbbacabcaabbcbabbccccabcbacbababbccaccbcbbbcabaacccbaaa
+abaaabaabbaaacababcbbcc
+acbcabbacacaabaacaacaaacbbbbcabbbcbabcbcabccbaacacaacabbcbcccbaccacabcbbbacccb
+aababaaaaabcacacabacaabcccabcabbacbab
+aacccccbcbb
+caccabbcababcaabcbacaabccccbabcccbcbbbbcbacaacccbababbbccbabba
+aaabbbcaabcaccbabbcacacb
+cabbcbcccacccabccabbccacbabccabababacbcbbbbbacacb
+bbaccaaacccbabacaacbbbccacbbccacaccccbcaabbcccbacacbcbbcaaccaabcccabaabbaaaccccabbacabccbac
+cccbabbbcabcaabccbcccccaaaacccbcabacbacbacbbbabcbccbbbbbbacccbbaacbbacabacaaabcaacbbbca
+cbcbbcccacccabbcacbbaaccacacca
+aabcaaacbaacaabcbbcbcbbccccbbcabaaababbcababbaaccbbabcbccbacaabbcaaaaabcbabacaccbbbbaccacbbbbbaabbcaaccaab
+aaacccccaabcbccacbbbcbbbaaccbccaaabaaaaacacbbccaca
+acbaccbcccabbaaaaabbbbbacabbcabcacbabccbccbaccab
+cacbbcaaccbbbacbaaabcabbcccbabacbcbccabcaacbababcaacacbbbbcababbcbbacbcbcccbb
+ccbcaaaabacababcbacacbcacaaaaaaabcbcaaccabaccbbcbbacabbbccb
+bbbcbabaccaaabaaaaaacbcbabbbcaaabacaaaaacabacacaaacbaacaaacbccbbbbccabacbaacaaacaabbccabaa
+caabaaaacaabaabbbcababbbaabcccbcbabbbabcbbbabbabbbbacbabb
+cabcbcaacacaabaaacacabbbba
+bcccccaaabbbccbbacccbababbbaabbcaccbccaaaabbbbcbcbb
+cacacbaabababcbabaaaacacbcbbabbbcbcbcacbaccccbabcbaabaab
+cbbbabbbabbcababbaccacbcabacccabbaccabaccbcabbcbacbcccabbbbabbaabaacabacacccca
+bccccabaacbacaac
+accbccaabccbbbbaabbacabacabcbbbacabacbbaabcaccbcaacb
+abccbaabbbacbaabacccbbaabcbbcbabbbaababaccbacaabcbacbcbcbaabbacbbaaaccbbbbbaccccccbabbcacaabccbca
+aaccabbbcccaabacabcacbacbbabcaacbbcbbcbbaccaaabccaabcaabccabbbcbb
+ccccaacaacacbaaaaaaacaccaabccbaacbbbaccca
+cbbaaacbbabbbaabbaabbabaabbbbbccbcbcabbccbacbccb
+bcabcaaabbcbcbabbabcccabbaacaccccccbbbcbbbbaabaccabcabcabaaaabbccccbbcabcacacaccabacaabbcab
+bccbcbccbbbbcaaaacbcccacbaacbabccbaaabcacbcaaacacaaabcccaaccbaabbaaaaacabbbcbccbbbc
+caaaababcccaaaccaaaccbbbbbbbbaaaabaccbccbbcbbcabaaabbbacabbaccbcbbcc
+abbcbbabcbcbcacabcbcbbbbbabcbcab
+aacabbbbababbbacbbbcccbabaaacacbcaabcabbcacabacaaacacaccbbcbcabacbcbaabcccbaabbbcbccb
+accacbccbccabaaaababaabcbcabcbacaaccacbaaaccccbbacaaccccaccbab
+ccabcacbcabacabaaaacacaabcaccabccbccbbbcbbbbbcaaabccbbaacaccababbabba
+bacbbaaaaaccbabbbaaaaacbcaacacbccbbbababaa
+263 85
+bddacdcbbdaaadcbbadadabcddacddabaaccdaabdbbccdcababaaaabbcbaadcbcaadcddabbddabcddccbcdbaaaca
+dbcabbbbacbccaadadcdccbacbdcccbcbcdbcbdddadbdac
+ccbaabccbcd
+acbddbccddcabdcaaadcdcdbbcbacaaccbdcdbccdbbccaacadbccdbdaaddbcabddadcdbadc
+caabcbbccddccddccdcdbbbacaaccacdbabcdcdcdabbadabccbcaddacbacdbcb
+cbcbbbaabdbcacbbcddcadbbbcbddcbabbbadddbcbabdddabcbbaabbdbaaccccdbccbdcaca
+cddadacdbadcbbcbdccbcbdddbdadabdcbbcdabaacccabaacbacdddcd
+cabdcbdacdabcaaddbdbdbbbabcdaddabbdaddbdcadbccbdcaadb
+cdadddbcdabaddbbda
+dbbaccabbcbccdcdabaddc
+cbbcdadcacaccadacbacbbdcdccccaa
+bdcbdbbddadaabacbccdacacaaccdddacbccdaccbaddadbaccbbbcdcdacdaacbbc
+bdababddabdbabdacbcdddcbacacbacbacddcd
+ccdbdcbbccbdddcddcabacddaadcadbacdcacbddaadbb
+bdbaacccddaaccdaadbddcbbbabacdbcacdcabadcddbadcccabdbbadbcdabdddcccd
+babcdcdcdacdbbcccdbdbcbbddddcc
+dabdbcdcadcdacabbccbbaabbacdbccbabbaabdcacbdcbbccadcddcbbdbddc
+cdabcbbccccacbbaadbbcacaacbdcdbadbbcbbdcbdcdbaacddbaacdaabaadbcadcdbccdadcbaddabbacbbdcdaaadbacaadbdaab
+dcbadbaddaddcbacadccdddcbdddcbdccadacddccabaabcaaccacbbddddccccbacbaadbbdcaadadcdabdbcbbacbbbdcdbccbcbbad
+cdbacbcadadacd
+aadadacdddcaadbaadbadacdbdaabccbabddcccdacdccbaabacbcabdaaadbcdbaacaddaaadbdcadcbaad
+cbdadcadcbddbcaccdacdbabbdaccdcbdbcadcbbacdccbcdaddacbabadcadbdddadbbcbdaabdcdadcdabaddcddcadbccbcbcbddba
+badcbacccaaaaaa
+bbcbbaccdcbdaddabccaacddcbccdaccababbbaddbbbdaaddacaababcddcc
+dcdbbccdcadcadadacdaddccdacddbcbbdacbaaacddccaadcdcbbabaddcbbdddd
+dacaabcacacbbbaabadcdbadb
+daabcdaddcbcaacddcdbababacccdbbbabbabcaadbadaac
+bcadbcdbcdbddabcdbdddaadabbabbadabbdbdcbaabd
+ddcdbaabcdddbdcadccaccabddbadccddbdbdb
+cabdabddbcbacaddaddccacccaacadcbbccdbaacbccdcaddcddddcdcaacdabbbdbbbadbbdaadaadbbddbdbdbaa
+cbcdabcbabaacdacdddddbbabbb
+adcbbaadccddbdddcddabbddacbcdbadccdacabdcbddbdbcddcbbacbcbabccdababdddbcbdacadbaabbacaabbbbda
+dddaabbbadbccbdbdcacbdcbcdbdbabdbdacacbccccbdabadcbadbdabbbbcabcdbddddaaabcaadbcaaadbbdacddc
+bdacabbccccaadaaacbddbbaaddbccbbcddbc
+addabddacbcbaaaaabbbbabbcabdbbcbbdcbbbaabddadaaacabbaabbacdcbabcaba
+bbcbbadaaddbbaccadabcadacadbaabcc
+bdccbdacdbc
+dcbddbbddcdccbdcdbaddbccaaabbbacbddcacdcaaaaccbdccbcbbbddcacdbbddbabcdcbab
+ccdabcccacbaaadbacbdadcbcdbaadbda
+bbdbbbdbbddbababcdcdacaaabaabcacdcdddabccbdddaccd
+bcdbddddcdbacddcdbacbcaaabbdbbbbcbacabbaabcdaacacdbdcadacdcadbadadddbdbddadc
+bbaadddcbabcbcbbacdbbaaacdacbabbbcbbddcddddaaccadcacddaccdcdbcbcacabb
+daadadacdcacbcbbacdccccdaacaabbcdadbdacbccadcdcbadcaabccadcddaaadbdacdbcdcab
+cddbaaaaaccaaddbdddcdccadcbadd
+cadcbdadcabcabbbccaddaddcdbacadaccbacadcadcabdacbadbaaadabdaacaabddccddbadcbcddbadbad
+daddbddcdccbcbcdcdcbbcdbbc
+bbcbabccaabadaabbcccabcabdaccccadbdcbbbccacacadddabcbaccbadbdbcbccddbdab
+cbaaddcbbdccbcabbdcdbacdddcbadbbbbadabbcdbbbabcabcddcdbadbbaadbdabaa
+dbaddddadbdbdaabcbcbcabbaddcccbdbcdabbdcddcbbbbcdaaadabdacddbaacacabbd
+dbadbbccabcdcbcaaaaabacccbbabbcaadabcbacbbaaabdbdbbdcd
+abcbbbbcdaaaddacadaacbbaabddcaabbacbaadbdadcbcabcdcbbdcbaa
+adcdbbdaaaadbbbdaadccccacbdaabbcabcbdbbcdbdaadccaccdaccccdbddaabaddcddbcbdbcbdddcdacdbcbacccbbadcdcddcababcba
+cbccabcbbbbababcabdcdcadaddbacccdbdabbcbddc
+acbccbdaabcdbacbcdcdaabdcbdadadddabbbadaacdbdadcabcacabdabdbbdbadbdcddcbbdcabcccdccbdcdbdbbdcbdabdbacdcbbb
+abaacdcbcddcacdbbcccdcdccddbcbaaddcddabcacddaddddadddccdcdccbbacaccabdaaadaabaccacdacbcacddcacaccccb
+dddadabccadbdbaacbcabcabdadbcdbccddaacbcbbcdaadbdadadaadcbbccbbbaaad
+bcccddccabddccadddddadababdbcddacabdaadcccacbbbccacdccaadcc
+bbdacdadddbacadbccadbdbcdbcdcdacbdadadccacc
+bdadcdacbcddbbccdbbabadbacaabbccdbcbcdcdacacbbcadbabbbdcccbdbcbbbdabcbabdddddacabdddabccacc
+bbadbadbbbbcbdbbabbccdccaabdddc
+bcbcbadbcb
+cbcdcdcadddccbcadabdccddbadadabcadbbccaadbcdcb
+bdabbaadbaacbdccabaca
+daaabdddabdacccbcac
+cccdcbaabcadbdaabadddabbccdbcb
+daabbcaddadcbbdbaccaddbabccdddbcaddccdbdcddddbbca
+dbdcdccddbdcbcbcaabcabdddbdaaddccbcadaaacdddbdbcabdaaabddbbdddbabbcccbcdcbbddaac
+bbbadcacaabbbbcddbddcdadbdd
+cbaccabbbaabac
+bbcbaabdcbdacbdbbcbddddaaadbddacbdbcdcccacaaddadadadccaadcdaadaaaabdccbbcdaadccbadaacd
+acdadccbaabbccaaadcdabcadbcddaccacaddcaddadabcbaadbbbabdbcbcccbbdabddbaca
+dbbacadddcbadcacccbcdacdcddcdabbacdbabbaabddbabdabacdbadcccdbaabaddbcccd
+caddbcccccbadccbcbbdbadbcdbcbdbaacbcdbbdcbcdcdabccbbdbbacabdabdbaabbbbdbdadbbbabccdbbac
+addddabadaccbbcdddadaaabdaadaccacbccacddacaaddadcaadcaccbcbdc
+dddccaaadaddbcbadcbbca
+aaabdccabcacbbcddcbd
+cddcdcccccdddcdbcbbddcdddbdadcdddcaabdddddadccbabddcdccacdadaa
+cbdabccbbccbbaaacbdddadcacdddabdadbbadcaacbbdbccaaadcdbacaaddbacdbabbbaccdbcaccbbcbadcacc
+ddcacadaadcadabcbdadadbdddaccdabdaddccbabbacbcabcccacbdcbaacdcddbacbaabccd
+cabcdacddddddbdbbbbdbcdbadcdcd
+dadacbbbccbbdadaabdaddbbcbdccbacbdbbbddcbccddcddbaddbcadbcdccadaaaddabdddabdbcbaabccbab
+cadcacacaabccabdcdcccdd
+acabadbaabbbddcccddaccbabcdacddcdcbcdbadcdcaabbaacdbcdcddcdbcbbacdac
+addaddccdbcadbcbdcaaccdbccdcccdcabddcbdcabcbdbcaabacbbdcdabdcbcccddcc
+bdacccacddbdcbdbbdbddbbdadccdddccdccdccddcabcaddcddabdcdcbbadcadbcbbcaaacaccabaddccbcd
+bbccaaadcdbcaddaaddbabdccdacbaccccdcdbbbaadadbacbabdcdadcaccdbbbbacabdcdccacaddad
+bcbbcbccabcbdb
+abddbdcbabccdcdbcaaadacbbddcdabcccdadadddacdadbddbcdadcadacbddbbcabaddddccabdcba
+addcbbcaccddbdabcddcdbdadababccdccbabcbcabdbdcabbadbbaba
+acdabddbdbabcbbcaacdcbacabbbadddddbcaaddadcabddbb
+bcddcdccccacbbcbbdcbdbcdabcddccacc
+dcaadaacccdabdd
+bbcacccccdccccacccccbcaddadddacacdcadbbdbbacacddbbdcdcaadddcddbbbabcdabaccdadbbbcacaaaaacddad
+cbcabaabdbcdbd
+dbaddbddccdbbdcbacababbadccbabbdddbccdaacacbbcaccaababacccda
+cbbdadbbbcdbcbbdbcdbbadbdbccbbdaacabbbadccbdadaaacadcbaaddbdaabcabcbcbaaaaddddaabbbaadbadaadadbd
+badbddddbbdcddbbdccbadadcabbaaddbbddababddbbcacbbbdabdbb
+bdbcabbacbcabacccaacddcdadadaaabbbbdccbabcadcacaddbacddcadadcabcacbddbcbaadbcd
+dbdcdbdacccaaaacabbcdaaacbbadacaabababdbcbaddabdbacbacccdbdacbcdbbdbdccbbdd
+cacaccbcdcdacccd
+bcdabacbdaaaddcbddbccdbcdbcbcacabdacbccadbaadaadddbcdcabccccdadcabcbccdbbccaccdbcddddcdaadbbbbdbbbcbbcabcbdaa
+aababddbddaa
+cdccaddcbdbacddadcbbbbbcdcaacbdcdabcabdbcadddcbbcbdcba
+bdddabdaaaddbbabdbdbdccbbacccbdbcbadccccdaacdbccbaaacbcccdaaddcabdbcbacdbcdadcbbdbbdabdccdcbcbcdbdaadaababc
+bdadbbcdbbbdbcabbdddabcbbaadb
+dbadbcddcaaaddbdaadcddbadddccd
+daddbacbcddabcbaacbcbacabdacccccbddcabcabcaad
+cdadcbccada
+dcacbbdbadbcbbcbddc
+ddacaadcbdcbadaccadaccacabbbaddbdaaadbabdacccbacdcacbbdcb
+bcbbdaabddbabaabcdcbdacdacabdaccaadccabddc
+daacbabbbcbdbddcad
+cdcabadccbcbdaccdbaadaabdbabbdbbdabbdcbcdbadcbbcccdbdbdad
+ddaccbaaccdccdcacbdbbbabdbaddcbbdcbbcadccddcccdcaccdbcbddbbccbcccdadda
+ccdbccbddaaddabcabcddcaddacbbcccadacadacbdbadddcbababbdcadddaddadbbccbbdacacaaadbbcca
+bbdadcabcccdabcdbccccabdbdddcbbaabdbdcccadaadcabaacccacccbabcccbdddadddcdabcddbaadcdbcbccbbdbb
+ababbdbaaddaddbbacbddbcbbcbacacbbcbcbacdab
+aadaacbdbcacbdbdccddaaddacdaccaccdccacaccccccbcb
+bbddcdddcacabbabdddcbcadcdacddcbaacbcabdacdccdabbabadccbccdcdabddbbbdaaadcdcdbbcdbdacbacbdbccbdbdbbbbdcaaaddd
+ddbcabdcbcddaccdccdcc
+bacbdbabcadddcadd
+ccbccddaaaaacddddbaababdacbcbbaaddaaddcaccdacdacdcbdaabcbadbddddaddaccccbacddc
+bbbaaddacbdbcadca
+cdaccaddaddbacabbaccddccaacaacacbdddcbaddcbadcbabbcdbbbaddcbbbcacccbdbcccabbcc
+cdcaaacdbdababbdbadadbcacdcaadbaabbbabababdddaaadcbdacbdcbdbddacdbcccdabbdaaccaddaccabdbdabadbdadaaac
+bbdaccdaddbbbcccacbdbcadaaccbddadbcbbacacaccbdaabdadbcbcabccbadbaababbcbdaaadbcababcadbcadbdababba
+acbbbabacbdbddcccccbbabccbdcddcbdadcbddcdbcddaabcaaabacbbddcbbaadadacbabdabacdadbdbdcdbddda
+baaacaccbaaaaca
+dcddcdcdadddddbcbabddbbbaadcaddcbaaabbc
+acbccbabddcaaccddaacbbaddcaabbdcbacccdcadbdcbdcadbadbbcdcadbbbcccacbdadcdcacbdb
+dabbbaaddcacdcaddccbdbbbbcbbbaddbbabadbcabcacaadacddcdbbcdaabcdccdbddcaaacacccaabddcbacc
+ccbdaccbbdaaadaccccadabddbbaacadbbcabbaadabcaacdcaaabccdaababcbcddcdadcbadbcd
+cccdaaabaadacbababdaba
+bbccacbaadcbbbacbddbcbaddaabccadadbbaacabcbcbdbbcdbcdbbdacaadcdccddbdccdaabcddcdbaccbcaaaaabcddadb
+cabbddadaaaaaabadcdcaaaadcabadacdbbcbcbadbacdaacbaa
+bdbdcbcbdaacbcadcabbbbabcdbd
+bbabdbcddcdcacddadccccdabbdcaccdaaababcbdcdcccbdcdbcddbaaaabcdabbbbc
+ddabcbabbacddaaadcbccddabbdbdacbdbabbbdccadcdacacbbdbbdbbcdbcbdbdaaacadacbdbbcaddc
+adbbbccabbabdbabaaddcbcabacadddcbaabcadbaaadbacdadcadcbddbbdccdcbbabddabdabcddbcaccdadaabddddd
+dacaaadadacbbdaaaacdcbacacccbcadcbabbcbadcbcabcaaccaddbcbcadcbbdcbccacbcccaa
+adabddaabcbcdbddcabacbdcdacbaacbcaddddabbcacdaddacaddcbbbdbcdcccccddcdacbbaacadbbbcacbacccaaddabbddadca
+cbcbbcabcbcddbadccdcdbabdaccaccccdccadbdcaccacbadadcbdcacbbdabdbadbcdbddadbacbcccbdcbacacbbdccabaddb
+abaadbbbddabcbbddacacccbdabacadabdbccab
+dbcdaccdddabcda
+ddbdcbdbccacbddcdcabbab
+abdcdacadddaddddacbddcabdcdaccaaccabaaabdbdbb
+acdcaaacdddbbcbccabddccacccccdddaccbddbcbdaabcdddbaaacaccdadddaadabbdddbccdbbdabb
+dcaabaaaaabbdddcddcaaaaaacbacbbbbcbbdcaaabcbbabcbadcbcadbdddacba
+adabbabcaaacbccbadbcbbdbbbdddbababcccacbadaabdbdbbdcdabcccaccbbdbdabbbabbdbbacaddaacbbbdad
+ccacadbbaacbbddbcbddadbaabdacacdcdccaaccaabbbcaaddbdacaadbaddbcdadbacdcbddbacdbdcaca
+daddcadbcacaadbaaaadbbcbdaddacabdcbdcccacbbccaddabcbaacdbccdcdbaaddacdcdacbcbcdcbabaadddbabbddadaadabdabddacc
+bcbcadcbbcabcabbbddddabaaadabdbcd
+cdacccbddccdaccddcdcbdadbacbbddadbacbbbccdbcdabbacdaccabbcbcccaaccdabbcdda
+cddadbacadbabbccdddbbaadad
+dddddddadbcadcbccaabbddcdcccabaddbaaaaaababddbbddbcabbabccaccacdabacdbccbccadadbbdccdacbaccc
+bbdaddddcbdbaadcdaaccacddadccaaddaa
+adcaccacadabdbaadcbcbbbdddcadbbacbcdcbcabaacbccccccddcbadaaadbadacbabddadcccddaddbabbbdbaddbaddbccacadcad
+addbaccddda
+bbddbbcddcbaadbcaaadabbbadbcdadacadbddbdcaadadaaaabccbccacccdbcccabadccbdbaabbbaaaab
+dcaddcabbcaaaaddaaccbbdbcabdccbadbadabcaabbdbcbddacaddbddabcaacbdbcabadabdbbbadbbcdddadcda
+bacbcbadacabbdbdbbadbccabdbdccdccaacdbabbdcbbbcdaaccdcaacacadbdcdbdaadbbacdaccacaacabddbda
+ddbdbdabdaddcadaabcbcaddadcabccbbabdbdbadcbdbcbd
+bbdbaabdadadacacbaaaadaacdabcaddbddadbadddbbdcddbaaabbadcabdaaccdaaddacdddbddcbbcaadcaabdddbcdccc
+ccdccbccdbcd
+ddabddbaacdacabdadaccddcaccacabdcdddcbdbdbaabcacaaddbcddbdbabbdbdadccddbbad
+cbbcbbddcaadbdbbcadaabdaabcaabdddacdbdddbabdaaccabbdcaadbbccdcbccba
+caaccaaabdccdcccbcbaabbcddbda
+bbabbbabcdddabcdcccddaadbdcaccadbcaacddbcbabacbdaabacacadbd
+abcddbbadccbcabccacdbbccccbccbddaadaadabcbdaadbcdcbbccbcccacbdbcdacdaaacbdccb
+acaadbcabaadcccaccabbddabaaacbaabddbadddcbccdaccaaadbaabddbddbcdabcbddcb
+ccbbbccdcbccacbcdaacaaadaacdbcccadddbdaaacddcbccbbbdbcbbacac
+bcddaabbcaababbcabbbbbccbaddcbacdddcaabdbcbcaacadab
+badcbcccdacbbcddbbbdacbacbdbbaadddbacccdbcdadbabbcacdbdcbbcacaddbaddaaadbcacdccdcdcadabbccbcbabcdddbaabbb
+dcdadbccdaddcaddcdddbaacaccdbbbdddc
+baacabbaadbcbc
+caabdacbddbdccbdbcbddbdbcdddacbddaadcbbddddbcaddcddadcbacdacbabadcdadbabbbccdcddabbddcabacadbbccacdb
+bbdbcaadcaababbacbbdaadaddaddcdcdccddabaadcaca
+bbbcdbdabba
+caddadadabcddc
+bddcdacbaccadbbada
+bdaddadbdbdacb
+cccbaacbaadacbdbacaccbdadadabcbbadcddacdbacabb
+cbcbdacdddbccbbcccddacabcabadcbdbbdcdaadbbabbbcdadabdccbaadaaddcccdbacbcadcaccdccbcadabbbbc
+dcaccabcdccddcdabdcccbaddcdaaaabaaadbbaad
+ccdddaddacdabcaadcaabdbcbdcdbbabddcaccccdbaaacdcbdbdaabbbbdccbddddcddddcbaddbacbadbdccacbaabbbdbabadda
+dcbbdbbbbdcaadcdbddaaadbbdccaddabccadacabacacacacbacbcdbdaadacbabcbcbcbadadbadbcdbccadbdd
+ddbbdbcddabbaacaadcc
+ddcabdbadadcabbbbabbbcbcbaabaabdbbbdbbdbddaacdbcccbacbbcaaadbacdccdcdbadcbaabbbacbbadaaccbbbcabbbddbdbaadddaa
+baaadbcabbbcccbccbdccbabacccbaacaddcbabdbbddcdcadbadadabbaddccaddadacdaaaccbddc
+dadbdbcdbddddcacacdabcaacdbbbbacabcbbcbcbdcbbacbcdc
+bdcdbaccbbcbbabaabcbcdcdbadbcdaadbddddacccadddcbbbbaaaacbbbbdcadcddbbccbbadbcbccbdabcba
+bbccbddabcabcaaddaccccccbdddadcaadddaccbcaccacbacaadbbbdccddcbbdaaabbbbababdaddcdbcdddacaa
+aaadadbaddddcbadcadbcbcbaabbdcdbcdcbbaccccbbdaaabbccbadbccbbccabbcaadcbcbadd
+cdabbcdcbbcadbabac
+dacccdcdbdccbacaabadbdbabcacadabaadcaddabaddbbccccdbbdbcaadcdbbdcddbcbccadddcbabdcdddadddaad
+dabbdbadbbbbbadaadcabcacaadaacacbdcc
+adabbbbdcabdbcddcbabdaabdaadcddbdddbbbacdcbaacadcdacadacbacddcdbdbdabadddbd
+addcddaddbdcaaddcbacdcdbdcccbccbdaaccdddbaacbdaabdbbcdcaadadcadbbdadcbcdbadbcdddacadabdacbdb
+aaaddcdddbadaaaabdcdccabdabbabdb
+caababaacaacdbacccdbbcaaabadcbbddcdacddccaddbdbcccdadcdbbbadddbbadabcaababcb
+dcdbbadcdbacbdcaddcabdcaaabcaadbabbcbacadacabccdccddabbadaacddcaacaa
+bbbaddcacabcdcadcdbdbccdcbdacadcdcdbbaabbabcdcbcbcdccdccbbdadccdbdaaddacbdcbbcbd
+caaddbadcadabdcbddbbcdbcbaadbdadbdccaadadcdbbcabccaacdcadbdacccbdcdddcbbcabddccdcbababd
+cacdadccdabdacbcbcbbadcdaba
+dbacadbcbddbbdcdcbdcbaccdcaddbbabb
+daaabcbcacdacbdcbcbacdacbbcabbbcdccdacdc
+acbdbdbdaadadbdcbabaabaabccbdbbbababaaaaacaabdabcdcdbdcabddbacaaddaaacaadcadcaaababccaadaabdcdcbaabdaaa
+dabbacaadbadddcbcadaddabdbadacbbabaaccadbcabcdacdabbdddadaacacacaccdcbbacdbcba
+dacabbddbbddcbaccdaaacdbcbdcbcccabbdcadacddaddaccdbcdddaaadccaabcbbcdbabdabddbdddddcbcdad
+aaccacadddbcccdbaadcbbdcbcbbccdaabcdddadcaabcabdbbabdbcacdabcbdccddbbcdbcbdbaacacbabbbaacdddd
+dddddbaabbbcbdbcdc
+ccbcabbbcdcbcdacddaabdcdadbbabdaaacdacdbadcbccbdaccabbaccaacdbbaabaddcbcabcbcbbdacdcbaccbbaaddbdcddb
+cbddbabbbdbbbbdddccbdadcbbbbccbdadbaaabbacbdccabcdddddcc
+adcacdddcadddbcadabcbdcacacccbabadaddddcddcdccdababcaba
+aabbdbcdaadabcdabdbbcadadbdadddbbcdcddca
+cacdacdcdbdabdddbdcccbcdaacbcaabdaadddcccadcddbddabadcadddbacdbbdbdacbadddcaa
+bcabcbcbacbdadccabbdbcccbcdaddadabbbdbbbbdacbcdbabcbabcdabaadcdddbcdbbdcbbabdcddcbdc
+accdbabcdbadccbbaaccaccbacccddcacddabaccddcccadadbcdccbdbbbcddbd
+daddccdacccbbdbadabbcabbdbcbcdd
+dcacbcbaaaabc
+daaaaabadaccbcbcbaaddcadcbbccdbaadcdbdcdcaacacdacbcaaddbbadddbdcabcabbcabadbbabbbbcba
+caacdcaadcbaabaaaccacbbcbdcbabdbbadddddcbdcaacddddadccbadccabccccbbbccbabccacdbdbbdcbbada
+dbdcacabadbbabadadacdcbbaccadacaabaaacdbbcccbcbdabbaacadbbdccaaadccaddbcccaccdbd
+daaacadcddccccbbcaabbdbcccadcbcabacadabdba
+accabccadbaacbbcbdcddcaabbdddbdbaaadabdca
+cabbbaacbdcbbcbbadbadaccabadcbbadcbacdacbbabcabccddddbbd
+bcddcbabcbabdddcaabaaacadaddadcdc
+abdaacccdcdcbaacaadbcbbcabbbabddccdbcbdacccacbbccbbdbdbdddaacbbadd
+badadbbbccbadaaddbaaabaaabcddaada
+adbdabcdbabbbbdcabbddadacaabcbdbdbddccdcabcbcadddd
+dbadbdccdddbabbbdcdcdcacddcbbbbbc
+baacccdabdbadbb
+dbcddacdadaadacdabdacca
+cadabddaadcabbbbccbbcbdacadaddbbadbaabbaadcbcdadcbacabdcdcaabdbdabacacadacbcadbddbacdbbbbbbdd
+bcbcadcbbbcbaaddbcaabbdabbcbddbabcdaadbbabaccdaabddbdaacdaddbccdcdcbaacbdcdcdacdbbaccddcbbbbaaaccbc
+dcabbcbbaadabdabbcbdcbcdabdacaacddabaacbababdcaadbaaaadacbcbdbdaabbdaacacaca
+cacbdcbdbdcbdbcaadaadccdcaccbcdabdccacaccbbcbcaabaddadcdcda
+bddcbcaabddbcacbacadaababbbdddcddbdcadadadbadbddcbcaaabdbdcb
+cccacbabdbcbaabddadcaaacabacdcddcbbbadadcdccbdacbbbcdcadaccdaabbbbbbcbbabadcaaadddccdbdabacbdbcd
+ccaccabacbaccbdccabbccddccdbbbbbcbbadbddaddcdbdadaaddacb
+abccdcccbabccbacaacbdadbcdadccbabaabbabcacddd
+aaddcbaccddbbbddbdbccddcbbdbddbabadbbcbbcaaccccadbdaabccbbababcddacbadcddacaabdcbadbbadadbaadadcdbbaddcbbaa
+bccdababdbdaccbcdbabcdccdcbcddadcbadbacabbbdcccdbdadbcbddaacdddcabcadadddadcccb
+bbcbbccbcbbbacaddabbddcaddcadaadbaaccacbadcdbddaddbdc
+dcdbdcdacacdaddabbbcbcbbaaccbcdcbdbabdbadccabacbacbabbaddacbcbdbcdcabdcbbbdbccccbaddcddba
+cbdbbdaddabaaaadbddaacdabdaaadbdddaaabbbbccbdbcbcacacabdbbccbbaaac
+ccbccbacbddaddbccbbcaccdcbadadaabdacddbdcddbcadaddbaababbdd
+cacdbdacbacacbdbadcdbccccaabcbcaddccbcdbaccbdddbabbacddbbacaabdaccbdcbdbbabdddbddcdbdcdbcadbdddcaaabcaaccbcbd
+dabcbcbddaaabdddbdbdcbcaaacbccbadbbaabaccdcdbaccdddcbdcabadcabddcbdccadadabdb
+dbbbbbbdacdaacdababcbbaccaccbdbbdbbbaadac
+daddacdcadcbabcddbadabdbaccbcdbcadbbcbcaccccaabddaabdccca
+abacdabbacadacaccdccaddacbdcadbcabbbdbcacaaaaccbbaadaabccddbababddacbadcccddaaacdcbc
+cabccdabbadbcdadadbdcdccacadbabcbbbcaddda
+acbbdabbacbdaddcdbcaccaacdacbbbcbbbaddaddabdbdbccbdacddcbbbdd
+cabbadaccbabadcacadbdacaacccbdbcadcaaabaa
+cadaadbcbccdbaaaabbaaccdaccacbabdaccdcabbabcdabadd
+abcaadccabbdcaddadabaddcddbddaddccdaacccddbdcaccabacddcacabccdbbcbdcdcbcabdaadbbddcdabcbd
+ccabbdcdacdbabbdbcabaaaacaddaddcaaaacbdccdbddccadbbdbcccadbacbcdbbddbbddacababadcddbaaccdaabdc
+bbcbbdbbaabbacbcabdddccaddbdb
+cadccaaabbdbbbcdcda
+dabaddcaddbbadcd
+dcbaabcdcbdbcabdcadddccbddabbabdbbddacbccbbcdbadadccdbadcbabcbbcbaacdaabdddcbdabbbbcacccdbbdbc
+cdbadbbbbabacbbdbdcabdabbccddabacddcdabcccadadcabba
+277 47
+bcbccaaabcbbccabbaacacacbbacbcabbababacabaabccbaaaabbacbc
+acbabcbcacbaaccabbacabbbcaaabbcabcbaacbacacabbbcbbcbaaccaaaacbc
+caacacabccabbabcabaaccaabcacbbbbc
+bcababbaaaaba
+acbabcbbcaacaa
+acacccbcbaaccaacabbbcbacbbbbabcbcba
+aaaabaacaaacbccacacacc
+cbaacccbbcbccacacccaabbaaccccbcbaaccbabb
+abccbcbabbabbacaaabbaababbcbbaaacaacbcbacbccbcccaabcccaaaccbbacbcacaccbcaaabcbabaaacab
+cbabcbaaabbbabbbacccbacabcccb
+accacccbacbaacbacbaabacaabbccbcbbacbabcc
+abcbbbabcbbcaabcbbcaababbabbbcaaaacccaacabcaccbcababbbaacbbcaaabccc
+aabbacaabbaccacbbaacaaabbbcbbbbcabcac
+cbcccacaaaccaccabbbabbaabbaaaabbabbccbbbaccccabbcaacccccabbbbbababcbbcbbacbabcacbbcabbaabcbccbaaccacbaab
+aabaaccabbacccccaa
+ababbcbaabbcbbbbbcccacccabbbabacaccabcaccbabaabbbbccbcbabababbbcccbcbababcbab
+abcabaacbbacbaacccbcaababbbbacabbbbcabcccbcaabbaabcacbbacacacaabbabcaabbcbcbccabccaabbbcabc
+accbaccbaacbbbababcbbabbbcabbccbccabcbbcacbaabccbabaac
+cbcabbaaaacbaacbabcbbcababacbcabbaabaaabbcbbacaaabbabcaacbbaacaacccbcbbccaabcabbca
+abacbbcbccabccccacbaababaccacaaaa
+bbccaaacaccaaabaabbaaacbabbccbaaaaccabbbbcaaccbaaccabcbcbacaabbaabcccbcaaabbaaacaccbacccbbcac
+babbaccbcccbcaaacacbbacbbaccbcacbabcbbaaacaacbaacabbaca
+bbbcaccccba
+cbcbcaaaacaacbbcbbcaacaaacccccabcaaabcacccacaccccbaaabbbbbbacbbbcbcabbcccccbbbabaacb
+cbbbaacccccbbbaccbccacbcbbabcabacacaaccccccababbbcbcaccabbaaccbcccccabacaabb
+bbbbccacbbbcbccabcbbcbbcabaaccbbcabcaaaababacaaa
+caaccabacaacacaabbcccccaacaaccabccabccbcbcaaabcbcaacccaaabbabccbcbcbbbcacaabacccabacbccaabca
+bcaabcaccacbbabbaaaccbcbcccbaaccbbbbbbccaabaaacccbbcbacbbacacbbbbccbbcaaaaaaaaabcccaacbcaaccbccabbca
+bcbcccbbacacbcabcabcbacaccbbaabaacbcc
+acccbcabcbcbbaaacccaacbcbbcccaacccabaacacbacababccbcbcacbcbcacbbccaaababbbabcaabacb
+caabccccbbaacccbabaabca
+ccccccacacbaaabccbbcbcbcacbbacaacbacaccbaacabb
+caabababbbbcbbbbaabbabca
+bccacbbbbbccbaabaaaabbacaabababbbac
+bcaacaccbcbacaaabcacbcbbbccccacabcccaaabcccbbabcccbbbabbbbaaaaacaccaacacbccabbbccbbacccbaab
+acacaccaabbaacbbabcaacacabaaacccabacacccacccabbcccaababbcbccaaaababab
+acbcccbcabbbbabacabbacbaabbbcbabb
+ccbcccacbcbcacbabbaacccccca
+bbbccacbabccbacaccbbabaccababcccccbabac
+caabbbcabbacacbcccacacbaaac
+baaaccbbaaaabacbaccababaabccbcababbaabaaacabcaabcaacabccbccccaababacbaba
+abccbbccbcbaccbbbacaacbabcbbcaca
+bccbbaacbaccacbacbbaacbbbabbcccaaaacacaaccaaaaaabbbcbabbbcaaccccaaaabbcacaabacbacca
+baabbbbaccbaaaacbccccbabbabbbcacccccbaabcacbcccacbbbbbcbaabaaacabbacccbc
+cbccbcaaaaabcbccaccaabacabcaabcabbbbbaaacccbbcbcaaccbabbaaccacbabccbaacbcbabbcaacbcbacbbbccabcbbcbbbcbb
+abbbccabbb
+cbccacbbcc
+bbacbbabbacbbbcabaabacabcbcbbabbbccbbababbbbbcbabbbccabbccbbaaaccbbbacabaccaaccbaabbbcccacbab
+ccbcccbaaccabcbabbbaaccaacbabcbacbaccacccbcabbbbccbbaabacbcbcbcbacacaaaababbcbccbacaababaccacccbcabaa
+bcabaaaaaaccbbacabccbcbabaacaacbcaabcacbaccacccacbacbcbbbabccaaaaababcccabcaaabbaccb
+caacbbccccbcabcabccacbabbbbaabaca
+bcbaacbaacbcaacabaaabbbccabbcacaccbcbbcabbccaccacbaabaaaaababbbacaaaacbcbababbabaaabcbcbbab
+ccabaabbbcacacacbcaacbbaaabccacaac
+aaccbabcaabbababcbabaabaabacbbbcbaaaccbccbabacabaacbbbacaccbaac
+cbacbbbabbcbaaccabcccaccbaabccbbbabacaacbacbccaacaaaabacbbabaaccbaaacacabcbbaaababcbbcaaaaaabaacaaabbaacacb
+cbcbcaaaaacbacbacbbbabcbb
+abbaacaccbbaacaabbbacbbaccaabbbaaaabacabbbabaaacbbacaccaabbbacbbaaab
+cacbaccbaacbcaabacbbccbcabbbccbaccbcaccaccacbacccaababbabcbabbbcbbcaaaabccaaccccbccbaab
+bbabacccbabbcbabcaaacbabcaabaccbbacbacccbbcaabcbabaaaabccacacaacbcbbcbabcacbcaccbaacccccbababaacbbac
+bcbbabcccccccaaaa
+bbccbcacacabcbccbbaabbbbbccabcaaacbcacaaacaacccabbacbbccabaabacbbcaacacbabababacaccaac
+ccbbbabbacabacabacccbbacbbaabccaacccccacbabccabccabcc
+bbbaccbbcbbbbbaabcbbacacbbcbaacaabbcacacabcaccbabcbbacbbabacbbabbbbb
+abbabacbcaccbabbbbabbaabbcbcbcabccbbcccabbcbbabaccbacbccaccaacccccabbbbcaacbaaccbbbaaaccaabaacaabacbca
+abaabcbcbbaaccabbbbabccabbaaaccbaaacbbaacaccbabcabccac
+bbaabacabababcc
+ccbbbcabcbaabab
+cbaabbccaacbccaccbaccbabbcabbacbbababcbbaaaccabbacabbbbbbbabbccabbcacaabcbcaaaabbaabaaabccbaabcccbccb
+aaccbcbccbaacbcccccbbbbcbabaaacccabbbabcccabbcabbccacbbbaacacabbabacbacababcbbbbcbbacabccbcbb
+bbabbbcacacabaccbaacba
+bcaabbaaabcbaccabbacbacaacaabcaaccbabcaccbbabbcacbaabbaaccacababccacabbcaccc
+cbabcbbbbacbaabbacacbbaababbbcabcacbcbabcbbacaaaaabacb
+bcaccababaaccbacb
+accbcbbcaacbccbabcabbbbbccacabacbcaaacacaaccbccbbc
+caaaccbbbbcaaabcbca
+acaccccbacaacccacaacabbacacacaabbbcbcacbaaaabcacccacabcbccbaaaabbcbbabaacacbabbbabccbcbbcbbaabbb
+abcbcbbaaabccacacaccbbbcabaabaacbcacbaccbcbaaaccabcccaacaaccbcaabccbccbbbaacaabbcbaaacabbccbcbabbacacca
+baacaaaacabbbacaaaacbaacabbbbbbbbbaabbacbbbbbb
+bcaacbbbabacaa
+cbabaaabbbbcbcaacbcbbbabcbcccbabaacacaacbbabbaabcbbabcbcbacaaab
+accbccaccbabcaabbaaccaaccacabcccbbccabccbacbabbbacccccbaabbbbc
+baacaaaacacaaacaaccbcbaabcbbbaabccbacccbbabbccccbbaabababbacbb
+aabbbcaacaccbbbaabccbbbaccbbcacbacaccbbbccbcbacabcaacbcbbccaccabbbcbccc
+bacacaaacaaaccccbcacbccacbbbcbccaaccb
+baabccabaabaabaca
+aabcacbbbcbc
+bcabcbbcabbbcbbcbacabbcbca
+accbbaccabbbbaaacabccacccccabaabcbcbcbbbccbaacabaaacc
+acabbcbcbaccbcb
+cacccacaccbbbaacbccacbbaacabcaccabcbaccaaacbbaaaaabbacbbbabccabacbbbcbcbcbbabaccbaabacacb
+acbcbbacacbbbaaccccaaacbabbabbaccbbbcab
+abcabccbbbccbcacacacbaccbcaabcbcbccccabccbacbcabbaacabaabcbabacccbaacb
+accaabbacbcbcaaababacabbcabbacca
+accbacaacabaacaabbcbbbccaccaaccacbcbccccabbccacabbacbbcccaabacacbacacaabaaccbbaaaaabac
+bccaaaccabbbacbaaacacbabbbbababbbbacccacacabbaaacaacccabcbbaacacccbcbbbbcaaaaccacabacccbabbcabaabbbcbbabba
+bbccaabccbcbbcaaaaccabbbcbcab
+ccabbababbacbabaacbcaabcbbbaacbabcbacaaabaccccbbbbbabcbabcaaccbaaccbbccaccbbbbbcbcbaabccbbabbbaccbaabcbcac
+acbbccbaabbacbaacccbcbcbbbaaacacccaaabbaacbcbbcbcaabccbbab
+bacacaabbbcacbaacbcbaaccbbabbabbbbabbbabcbccbbbaabaaaabaacabacbbbbaaacabcababa
+abcacbcbccbccaacabccccbccbcaaabbccccbccccabbbabbcc
+cacbbacaccacaaabbbcbbcccaacababbccabbccccbccbb
+acccbabaacacacc
+cbaaacabaacbaacabaaaacbcabbaabcacacaaaaabaacbabababcabaccbcabccaaacabcccabbaabbbbcacccccaaacabacacbaa
+acaacaacba
+bbcabaaacbbcaabaccaaccaba
+cbbbabacbbcccbabbbabccaacbbacaabbcbbbacbabacb
+bcbacbaaaccbbbcbcacbc
+abbbababcbaaabbbb
+bbacccbaaaaacaccbbaaccbcbbacaaaaaacbcabaacababababcabcabcbccbababbbabbbaabcbaabccbaacbbcacccbbabb
+bcbaabacbaaabbaaaaabccaaaaccab
+abaaccabaaacabaabaaacccbbacaaacaaaacabcbacccbcbacbaabbacaabaccabcacbbcba
+cbbbaccbcccabcabcacacab
+abbcbaaaacbacbabaabacbcccbcacbbccbabbaacccbbcabaaccbbcaaaacacabacbaccacccbcaaccacbccabbccbbc
+babcbaacccbbccbcbacccccababccabcbbbcccbabbaa
+bbcaabbcacbabcbcbbabcacb
+cccbcbcaabcbaccccabcbabaaacbcccacaabcbbcbbbab
+cacbcccbcababbcabcabbbaaacb
+cacabbbacbbaaabcbccaba
+aacaccaaccabbacabcaaabcbabacabcbcbcbabbbaacbacaabccaaacaccacabcbbaccaccacc
+abbaacaaaacbcacacbababababcaaaccbaccabcbcbaaababbccbacaccbbbbbaabccaaaacacaabaacccaacbcaab
+cbbaababbaacccaaaacaccbbaccbcbbb
+bacbccbbaaabbcaacacbaacbbbbbccbcbbcc
+bcabcbabbccbcaaaabbacbbbacababcccacbbbcaabcabcaaccabacabcbccbacccaabacbabaabbbaccbaabbccaaaabacbccba
+aacbccbabaabbccabbbbaaccbbcabbacbbcaaccbbbaacbbaacbcbbabaabaaaabbbbbcbcbbbabcba
+cbcbaaccbcababbcababbccbcbcaaabccacabbcabcabbc
+abbbaabaccacccbaabbccabccacaaacccccccccccaccacaa
+cacbbcbccbbbcabccccabaccccabcacbb
+cbaacbcccccbabbabccbcbbac
+aabcbacbcabababaabaabaccababbcacacbbaababbaaaaacaccabcbbbbbbaaaababbaabbacbbab
+bacccbbcababaccbacccbbbbaccabacacbacaacbbcccaacbcbccbab
+ccccbbcbbaa
+bbbbccbacbcacabaaacbcbbbccbccbabccbbcaaccaabbaabbabbbaaabbbbcbcaabcbacabcabcaabcbcbcbacbacbbcab
+abaabaccbacacabcabbcbacbccbacbaacacbacbbccbc
+cacacacbbacbbacaabccbbcbacabbbcbaccaabab
+abbaaabcbbcabcccbbac
+bccbbbccabcbcccbabcbbaaaaaccbabbccabbcaabcaccbaaabcababcbbcbbbbbccbbabcaabbbcbcbbcbcbbbabaacbcaabbacabba
+abaabbbbbbcbcccacbacbbbcbbbabcbacaaaabbacaaac
+acbacabcacbbabbaaaabaaababababbaaabcacbcabbaccccabbbabbbacccaacbccccbabcb
+cacbcccbccaabcbacbccbcaacabbabbbccbbabcbbbbccbcbaabbbaca
+bbacacabacccbbaaabaaccccaacbcbaccbbbaaababbabaccccccacbcc
+caaccaaccccbcacaaabbbaabbbccca
+bbccbcacabbaccbbbcbcccacbbacaaccbcabbbccbbccabbcbbccbbcabbbcbccccaaccabccbabbacababcbacaaccccccacbaa
+aacbbccaccccccccbbbabcacc
+abccaaacbbcbabcbaacacccaaaaccabbbaccacabcbbccbcbaaaaaacc
+abacaccacabacbccabaa
+ccacbaaaaabaabccccbccbbbcaacbacbccabbcaccbbcccbbbbcbcbabbcaacccaacababaaacbcaaababcbcaabccc
+bcbababababcaabaccabcabaaaacaacab
+cabbbbcccacaacabccaaccccbacabaccbcaaabcccabccaccbaacbbbacacc
+caccacacbaaacaaccabcbcaccbcccbbaacaacbcbaccbccbacccbb
+accbcbbcaaababcabaaabaabbbcbbbacccccbbbbaabcccacabbbbbbcccaaccbabccccccbcacacabbaacbbbbcccbcabcaccab
+cbbcbabcaaacaaacbcabcababacababbabbbacbbcbacaaaccbacccbccabbbbbabbcacccccbabbbabcccaabbccabcb
+ccccabcccaabbccacba
+bccabcccaccbaccbbcccbacabcbcbcccccbbbaaacbbabaababcb
+bbbcbbbacccaaaacccbacbcaaccacbcabbaaabbb
+cabaacacbca
+ccaccaccbabbabacbbaaaacaaccbbcbcaacccaaabababcaabcaaabaaccabacabbccbcaaaabbcacbaaabaa
+abcccccaacaaabbbcabbabbacbaacbabbbaaacbabacbb
+ccccbbbbccbbbacacabacbaccaababcbabccaaaaabacbccbbcaaacbbcbbcbbaabcabcabcbcbccbabbaacabccaabaabbbbcba
+abbbbacacaccabacbbbaaa
+baaaacabbcbcacbcbaabcbaacabbbbccbccabbacccaabcaaccbacacaaccabbaccabcccccbbbbcabbbccacaacb
+caacbabcaccbaacacccbababcbbbbbacccbaaabcbbc
+abcbabbbcccaacabbbbbacacabbcaabcaccbcbcbc
+bacabaaacccbabcbacacccacbababcbcaacabccbbcbbbcccbccaabaacabacbacbbccaabcaaacccaba
+aabcbacacccaaacababaaacacacccbacbabaacaccbbbababbbb
+cababbcbabccccbbb
+cbabcccabcaabaaabbbbbbacaaccbcaaccacabacacabcbccbaabbbacbabb
+ccaccbbcbbaacaccaaaccbaccbbbabcbbcaabccccaacbababcccabcbabccbbbbcabababca
+caccccbabbcabacbccacabbaaabaaaacbbbabcbcaacbccbaaccabaacaaccabccccccabbabbcbcb
+cccabaaaacacaacacacbbbbba
+caccbbbabbbbaaccbaacccabccbcababbbbaaccbbcbcacbbaaacbababccacbb
+abcbbaacccbaaaccbacababcccbb
+bcbabaccbbcbcbcabbaaaacbababacbcbababcbcaaa
+abcaabcabbccbcbaaabcccaccacbccaabbbbbabaaccabccbccbacccbbcccbacacaababcbcbbbbabbcaaaababccca
+bccaacacab
+bbbacaacaabbbbaaccbbcaba
+babcacbacccabacbcaacbbbccbbcbcbbcccbbbcabbabacaabbbc
+babbabccccbacacbccacbcbcbaaacacaabcaaaabaccabbcbbcccbabacacabaabbabcbaacbabccbcbaaacbcccbababcaabcbbbbcccbbb
+caabccaaabaccbaabbcaacabacccccbaca
+bbccbbccbcaacabacaccbacbcbcabbaaabbacbbcbaccabbabb
+acaaaacbcaababcbaccaaaaabc
+bcaccabaabbcbbbcbcabaacbcbbbaaaaaccabbcccbbabccccbbbbaaaabbbcaababbccbcacabaaacbc
+acbacaababcbabcbaaabbbac
+aaaabccbccccacbbaaabababbacababbccaacbbaccbcacaaaabbbbaaacbbbcaabbaababcbaaaababaabcbbbbbcabccbbcacca
+bbbbcbcabbcbbbbacbaacba
+cbaccbbbcbcacbcbcaaacaaaccaaabcabababbcaccaaaabccbaccbbbcbcccccbabcbbcbcbaaac
+aabbbcbbbbcacacbcabcbbbaaabcbaaccbabca
+ccabccbabacacabcacaabcbbacacbcbaaaacbbaaccaabbbbaaabcaccaacbacaabbabaabcccaaaabacaccbbbbabccbbcaaabcbaaabab
+cbccbbaaccbbccbaccabacbbacacbbcbacbcaabacababbabbcbbbcccabbabacaccbbacccaaaabababaabaabcabacbbabc
+bbcccabcacbac
+bcabaaabcccbbbbbcaaabaccbaaaaacbacabbacbbbacccbbacbbccaabcbababcacabaaaccaacbab
+bbcccacbccaaaccbabcaccbcaacabcabaababbcbabacbbabcbcabcbbcbacacacbbbcababaabcbcabbabbaaccaab
+bbacabbbcabaab
+bcabbbbcacbabbacbbbbabacbabbacccaabbaaabca
+abbbbbcabbaaabcbcbaababbbabcabbaccbccbcbbcbacacbabacaacbababacbbc
+cbaccbabbabcbccbacaacabcaccbbcbaabcabbcacacabaacbcccbbbcbaabb
+cacabacbcaababcbbbbcbaabbbaccaccacccacbbcabaaaaabcbacbaacccaacabacacbccbcacccac
+bcabccacccaaabaaccbabcacaaabcabbabbabca
+bbbbbabcbbcbbcaabcacacabbaccacaabcccaccccccbbbbcbccbbaccccacbccccacabaabcbacabcaaacbaacccabb
+cbacabccaacabbccbaaaacbacbccccaaacaacbbaccabbcaaccc
+cbabcccacbabbcacaaabbacbcacbcccabcaabbcabacaacacaa
+bcbccbbaacbcbcacbaabbcaccbcababcb
+ccbbbccccbccbacaccacbbbbabccacbbabaababacacacbcaaababbcabcaacbccccaabacabbcababacbccbabcabbaaccca
+bacaacaacbbcacbccbbcbabbabaac
+baabbbcaabbbcacbbbbaccbacaabccaccbaaabaaaabbcabacabbabcabacccccccbb
+abccacacbbabaccbcba
+baabbbbabacccbcbabbacaacbbabbcbabccaabacabccbbbaabaabbccacccbcbcacabacbbaccbbcbcabcabaaaaca
+bbccaccabcabcababacbccabccccacccabbcabbccccaababc
+aaacacbabaaaccacbababaabcaacbbbcabbbccccbbcbbbacbcbbaaccbbbacbccabcabcaca
+babcbabbcacaaaabcbccaacaccaabaaaacbaacbbabccacccaaabbbbcbccacacacababacbcaaacacaacbaccabcaaccb
+abcabcccbbbccacabbaaacccbbabcbbbabcb
+cbacbabbbabbacabccaacacbacbcbbcababaacabababbccbcacbacabaacbbbacababccbcacbccbacbacaabbcccbaccbcbcbabaabcacc
+aacaaabcabcbccabaaccaaaacccbcacccabcbaabccabccbbbccbacccbacbcacbaabbcbcbabaaaaacaa
+bcacbcbbbccaaacacbbccccbacbbaccccbbcbbcaccaccacaacbabbbccacbbababcbaccbabacbaacbbaabbbcbaa
+cabbbacaaabaacbcbacccbaabcbbabcccaacbaaaacaabcacbabccbcbacaaacaacbccccacccbcccb
+cccbcaaaabcaaaccbbcaacccabbbabbcccbacababbbaabbbccbcabaaacacccacbacabcb
+babcbcacbbabbcacabcabbacabcaaccbbcbaabcaccaaaacbbccbcbacacaccccbbccccbabaacbcbbabb
+ccacacbbcacaaacbbccaaacababacccababcbaaaaccac
+abbcaabbacbabcbbcbabbbbccacaabbccccbbaccbcccabacbacbbcbcaaacacccb
+abcacccccbbcbbbbbbcccccaaccaaabacacbbcacbabacaaaaaacaaababbccacaabbbacccbcbaacbccbbab
+babbbaaaabbaaaacbc
+cabbacabccaacccbcbabaabbacaaccbabcccccbacaacbccacbcaacccbcacabaabcababaacbccaacaccb
+aaccccbcbbcabbcbabccbcaabaabcacacbcbcbaaaacaacaacbccccaccacbbccaccacccabbaaabcbbcbccababccaaaaaccccbbaaaaaaaa
+cbcbbbaccbaabcacaaccabbcccacaccbbbacacaacbbbaaaabbaccaacbcbcbacbcbbcccaaacaaaaabccacacacbcbacabaaaaabaa
+abbccaacabaabcbcaaaabacbcbaabababaaaacabbbcbaaccccccbbabcbcacaba
+bbcccbaaaacbbbbaacabcbabbcbbbbabacccaacacccacbbbabaabacccbbcacbaccbaabcaaa
+bbabcbabaaabaacbacacbcbbcabccbbbabaababbaacbbbbccbcbacbbccaccbcaacaabcbabbbbbcacacabcbbbcbcbbccc
+bbbabbbcaaacabbccacbbccabbbcbacbbbcbcccbcbabababbbbcbc
+ccbccabaababbbbbabcbcbbaaaabaaacaa
+aacaabaaabcbaabbacacbcaccbcbccaabbbcabacbbcbbbccacb
+aacbcabbbabccccccbabcbcccaabb
+abccbabcbabbabbbaababbcbbabccaabbbbbc
+bbbbbbabbabaacacbcbcbacbcbccccaacba
+ccbcbabaabcaccacbabbbbbbaabccbcbacbbb
+cbcbbbacbaccccaacbacaaacacaccaaaacbcaabacabbcba
+babbacccabaaacbbcbbbcbbcbcbcaacacabbaaaaaabcacaaacbabaacabbcbabcccccbcbababbb
+bcccccbabc
+ccbcacbaabbbcabbabaaccacbaccaccababcaaabcabacabcbbaccababbcbacbcbbcbababbaabaaaacabcbcacbbcbcbccacb
+abbccccaccacaaaaabaabccabcccbbabcabcbcccaabaabababbbbcbacbbcbaacabcbbbacaaabbbacbcbabbc
+bcacbcccbcacacccccaaaabbcacacacabaaabbccbbbaaaaccacccaaabcccccacaaabccaabbaac
+abcaaacbcacaababaccaabbbbbbbcacbbabbcbbacbacbcbacabbbacbacaaacbacbbabbb
+bccabbbcbcbabacabbabbaccabccbbbacccbbcbbacbbbcbacbaacaccccac
+cccabbccccbcaabcaaaaababaaabacaacbaaabccaaaacbccaabcacabbccbbbccaaa
+cacbacbbabbcabacbbaabbbacbcabbccccaaaaaccbabb
+aaaabaacccbcbaccacaccababbbccacabcaaaccbcabbbbbcbbaacccbaaacabaabcabccabbabccbbaaccccbabbbcabbbab
+cbbcbbaaccbcbc
+ccbbbcbbccbbcbbacabbaacaaccbb
+acacaabbbabccaaacaaacccccbccbcccbabcccbacaababacacccbbcbcbaabcccaabcabcaaacabbcbcbaacabacaccccbacbbcacbbcb
+cbacbacaacaccacbaaaacbaaa
+cbcccaccccaabccacbcabacbabacbcabcbcbbaccbaaaccbcabbcbaaaababcbcccababccaaabbbaccbcacabbccacbaaacabcab
+abaabaacabaaaaacabccbaccccabaaabcacabacbaccaaabbcbccabaccabbabcccbcbbcaabcb
+cacabcbbacaacbccbabcbbccabbaabbabcaaabaacaabacabbacbbcbcbaaaccccabbaacaabb
+cacbbbcbcbaabbcaabccbccacaccabcabccccccacbccbcaaaaccabc
+ccaababacbcaababccbcba
+aacbabbccabcbcbcbaaaabbaaaccaaacbbbbbbaabcc
+cbcbcbabbccbaacaacabcbbbacabacabbacccacbbcbcbbbabacbcbacbaaccbcb
+abbaababbbaaaaabbabbbccbabacccacccaabccaccbccaaaccaabcaccbbabacacb
+ccabccccaaacaacbbcbaabcccbcbcaabaabbcabc
+aacbbbaccbabbcaabcbcbabbbaabbcbccbcbbacbaabbcccbacacccccaaacabbccbbbcabcaabbbcaaccabacbbbcbbbaabc
+cccaacccbccaccacbaabbbabccabbabbbbcc
+cacccbbbbccaabacaccabcaccbbaabaabacbaabbacccacbcacccaabccbcaabcbbccacbbcccaccabcbcccaba
+ccccbababbaabcaaabbcbccbbbacbcccaccababbaabcbaabbabaaaaacabbbababbacbbcaabaaacabbcba
+caccbccacbababcaaaacccbbccb
+abcbabbaacabbac
+cacaaaabbbbbabccbacbcabbccabcbaabaaaacbcacccaccacababcacccaaabbcccabccacccaaccbabcbbcaaaabcbacabbbacaa
+cbacbaaacaaccaccbcbaacbababaacabccbcacabcaacbcbcabbcbcbacabcaabccbbcbbbacbbbbacabcacabccabccbcbcbcca
+bcccbabbcaacabababaaaaaabccaabbabbabbacbbabccbacaaaab
+bcaacbaaccacbccbcaacccbbabcbcacacabaaacc
+ccaaaabcabbbacabacc
+aaaabcacbbccbaabbcaabcbccbbbcbaabcccaacacbcabcaccaabbacccbacabbcbbbcaabbcbbbbbcbcabbababbcacb
+bbacbabccacababcbccacbaacaabbbcccaacbbbacaabbbbacabbcbacaaabbac
+aacacaabccbbbcbbbaccababcbcbccabccaabcabbaacabcacabbaccbbaabcb
+baaabbbbbacabcaabbaccabbbbbaaacbbbbbccacbacbbcbbaaacabaccb
+cbcbaacacabbccacacaccaa
+bcbacbbaccbbcccbaccbaacbbbbaabcbaccbcbbcccbbccbabab
+cbbaaccbccaabacbaabbbaabcabbabccbcbaababa
+bcacbaaabcbaaabbcccaaaabaabaababcabbccccbbbabbccaacccaacbcbacbbbccbaabbb
+bcbbaccaaabaccbccbcbaccccbcbbbcabcccbaaabbcbbbccaccaccacacbbac
+165 128
+aaaabaabbbbaaabbbbaaaaaababaaabababbbbaabaaaaabababaaaabbabbbaaaaaabbbbaaabbbaaabbababbaabbbaaababbbaba
+bbbababababbbbbaaabbbabababbabbbabaabbbabaababbbbbbabbaabaaaaabbabaabbaba
+ababbabbbaabbbaaaabbaabbabbabbabababaaaba
+aabbabbbaabababbbbbabbbbababbbabababbabbbbbabbaabababbaabababbababbbbab
+babbaaaabaaaabaabbabaabbbbaabbbababaaabaaaaababaabbaabbabbabb
+aabbaaabbbabbaaababaabbaabbba
+abbbabbbbabbbbbbbaaaabbaabbbbababbabbaabbaaaaaababababbaababbbbababaaaaabbbbabbbabbbbaa
+bbabbababaaababaaaaaabbbbbabaabaaabbbaaabaabaababbbabbaabbabaaaaaabbaaaaaaabbbbaaabbbbbab
+baabaabbbbbbbbaaabbbbaaabababbbaababbaabaaa
+aaabbbbbbaab
+aaaaabaaabbbaababababababbabbbbabaabbabaabaaababbbaabbaabbbbaaababb
+bbabaaaababbbaabaaabaaabab
+bbbbbbbaabaaabaaabbaabbababaabbabbaaabbaaabaabbbabbbabbbb
+bababbababbbbabaabbbabaaabbbbbbbaabbabbbbbbabbbabababaabababbbbbbbabbaaaabbbaaabaababbaaabbbbaaaabaaababa
+bbbababaababbaaabbbbbabbaabbaaaaaaaaabbbbababbaababbabaabababbbaaaaabbbaaabaaabaababaaab
+aabbbabaabaaaabababbaabbaabbabbaabbabaabaaaaaabaabbbabbbaaaabaabbabaabbbaaaaabbaababa
+abbabbababbbabbbbbabaabbaabaabaababbaaaaaaababbbaaaaaaaaabbaaaaaabbbaaaabaabaabbaaabbbaaaaaababbababaabb
+bbbaaaabbbabbbabbbbabaaaababbbbbabaababbb
+aabbbbaabaaaabbbaaaaababbbabbaaaababaaabbaa
+baaabbaabbbbbabbbaaabbbaabbabbbaaabbbbabbabaabbabbbaaaabbabbb
+aaaabbbbaaababbaaaababaabbbaaaaabbbaaaabb
+baabaabbbbbababbbaaaaaabbabbabba
+abaaaababbbaababbababbaaababbaabaaaaabababaaaa
+ababaabbabbababaaaaaabababaabbabaaabbabbbbababbbbabbaabaababbbba
+baababababbaaabbbaababababaaaaabaabbbabbbbbaaabaaabaaaaaaabbbaabaabbaabbaaabababbabbbba
+babaabaababbaaaabbba
+aaaabbabbabbabbbabbabaaababaaaababbabbaabbabaabbbaaabbbb
+babbbaabaabbbaaaabbabbbbbbbbbbbbbaaaabbbabbbaaabaaaaababba
+bbbbaaaaaabbbabababaabbabbaaababbaabbaabaaaa
+baabbabbbbabbbaabaabbbbaabbbaaaabaaabaabaaaabababbaaabaabbaaababbabbb
+aabbbbbbabbabababbabaabaabaaaaaaabababbbabaabbabbbbababaabbabaaabbaaabbbbbabbabbbababbbabbaaababbbaabbb
+babaaaabbbbbaaababaaaaabbababbbbabbaabbabababba
+abbbababaaabbaabaabaabbabbbbabb
+bbbaaaaabaabbbababbabbbaaaaaaabbaaabaabbbbabbaabbabababaaabbbaabaabbaaabaaabbba
+aabbabbabaabaabbaabbaabaaaababaabaaabbaabbabbaabbbbabbaaaabaabaabbaabaabbaaaabaaaaabaababaabababbbabbbb
+bbaabaaaabbbbbbabbbbbaaabaaaaaabbaaabbaaabbabbabbbaabbaaaaaaaabbbaabaaabbbababaabb
+babaababbabbbbbabaaaabbbabbbaaabaabbbabb
+babbbbabbabaaaabaaabaaaabbaabbabbbababbabababbbbaabbbaaabbbaabbababbbbabaabaaabbbaabba
+babaabbaba
+bbbababbbbaa
+bbaabbbaaaaaaabaaaababbbbaaaabaaaaababbbababbbbaaabbabbbbb
+aaaabaaabbaabbbabaabababbbbbbaaabaababaabbbababababaababbabbbbbaababaaaaabaabababababbbb
+baabbaabbaabbabab
+aaaaaababab
+abbaababbaaabbbabbbabaabaaaaaaa
+babaaababbbbbb
+babbbabbabbbaaaabbabaaabaabbbbbabbbabaaabbabbbbbbabbbaaaaaababaaabaaaaaabbbb
+bbbbbababbabbaaabbabaaabbabaaabbabbbbaabbabbabbabbbababbaabaaabbaabbabaabbababbbababbabababbbaba
+aaaabaabbbbbbbaaabbaaabbbbbaaaaaabaababbbabbaaabbaaababaaa
+aaaababaabbbabaababbaabaabaaabbababbbbabaaaabaaabbaaaabbabaabababbbababaaabaaaaabbbaababaa
+bababbaabaaabbaabaabbaabbbbabbbbbaababbaabbabaaaababbbbabaabaaaabbaaababbbbbbaabbbaabba
+bababbbbbbaaabababaaabaabaaaaabbabbabbbbaaabaabbbaabbbbbababaabbbaaaabab
+aababaaababbbbaabaabaaaaababaabaaababbbabbaaabbbbbaaaaabaabbababaaaabbbbaaaaaaaaabbabbbabbbaab
+bbabaaaabaaabbbaababaabbbabaabbbabbababaabababbbbaabbabaaaabaa
+baaaaaaababbbbaaaaaaaaaaaaabbabaabbbbbaa
+bbabababbaabbbabbbaaaaabaaaab
+abaaaaabaaabbbbabbbabbaabaabababaabbbabbab
+abaabaaabbabbbbbabaaabbaaaa
+baaabbbbbbbbbbaabaabbbaababababbaaaaabab
+babbaabaabaaaabbbbbabababbbaabbbababbbbaaaabbbbaaab
+bbbababbbabbbabbbbabbaabaabbababbbbbbabbbaaabab
+bbabbabaaabbabbbbbabbabbbbbbbbaaabbabbabaaabaabbaaaabbbbbbbbbbbaabbaaabaaabaaabaaaaaaaaabaaabab
+bababbbabbbbbbaaaabbababbaaabbabbbabaaababaaabbabbaababbbaabbabaababbbbaabbabbbbbb
+bababbbbbabbaababbababbabbbaababbbaababaabbabbababbbbaabbbaaabaabb
+bbabbbbbaababb
+baaabbaaaaaabbbbaababbabbbaaaabbbababaabaaabbabbbbabbbabbaaaabaaaabbaab
+abbaabbabaababbbbbbaaaabbbbbaaab
+babbabbabbabaaaababaaababbaabbaabbbbbabaaaaababbababaaa
+ababbaabbaababbaaaabbaabbbbbaababbbb
+bbaabbaaabbbaaaabaaa
+aaababababbabaaaababbaaabaaabbabaaaabbabbbabaaaaabaaabaabbaabbbaababbbbbbaaaaabaaaabbbbbaabaaaaabbabbaabba
+abbbaaaabababbaaabbabbaabbbabbbbabaabaaabbbabaabbbbabbaaabaaaabbabaaaaaabbabaaaabbbaabbbbabbbaaab
+abaabbaababbaaabbbbabbabaabbbabababaabbabaabaaaabaabbbbaaababbbbaababaaaaaabaab
+baabbabbaba
+abbabaaabaaaaaaabbaaaabbbabaabaabbbbabaaabbabaaabaababaaababaababbaaaaabaaabbaaaabaabbaabbaaaababbbba
+aabbbaaabbabbbbaababbaaaababbbb
+babaabaaabbbaa
+abbabbbbbabaaaaabaababaaabaababaaabaabaaababbbaab
+abbbbbbabaabbbbabaa
+aabbbbbaabababbbabbaaaaabbaabbbababba
+bbabbbbababbaabbbbabbaababababbbbbaabbaaaabbaaaaaaaaa
+abbbabbbbbbaa
+babbbbbbabbaabaabbabbabbaabbaaaabbbaababaabbabaaabbbb
+bababbbbbaabbbbbaaa
+babaaabaaabaaaaaaabbbbbaaabbbaaaaaabaabaaaabbaabbbabababbbbabaabaababababaaabaaabbbbabba
+bbabbabaaa
+bbaaaabbbbababa
+abbaababbbbbbabbababababbaabaabbaaabbaaabbbbbbbbababbabaabababaaaaabbbabbaabaaaaabbbbababbb
+bbbaabaabaaaaabaababbabbbaaaabababbbbbaaaababababaababbbababababbbabbaabaabaabaaba
+babaaaaabaabbbaaaabbbbaaabaabbaaabbbbabaaaaaabbabbbabbbabababaaaababbbababbabaaabbbaabaaaaabbabbbbabbaa
+ababbbbbbaaaabaabaaaaabbbbababaaaaaaabbbabababaabbbabbb
+baabbabbaabbabbbbbababba
+abaabbaabbbbbbbaabbbabbabbabbabbbbaabbaabbb
+aaabaabaababbaabaaaaabaabbabbaaaabaabbabbaabaaabbabbaabababbabaaaaabbbbababaaabaaaaabaaaababaabbbbaababbb
+babbbbbaabbbabbbaabbaaabaabaabaabaabbaaababbaababbbabab
+babbaabbabbbbbabababbbbaaabbbbabaaabbbabbaaabbbabbabbababababbbabaabbabbbbbabbbaaaaabaaaabaabb
+babaaabbbbbaaaaaabaaaaababbbaabbaabba
+abbbabbbaabbabbbababbaabbaababaababbbbbaaabaaababbbabaabaabbaababaabaabbabbababbbbbabbbabbaaaab
+bbbabbabaaaaaaab
+bbbbabaabbabbbabbbaaabbabaaaaaabbaaaaaababababaababa
+abaaabaabbbbbabbbbabaabbbaaaabbbbabbabaaababbbaabaababbbbaaabaabbaaaaaabbaabbbaa
+bbbaabbbbbbabaaaaabaaabbaaaabbaaabaabbbaaaaabbbbabaabbabbbbaaabababbba
+bbbbaababbaaabbbbbabbbaaaaaabbbbabbaaaabbaabbaabbbbbabbbaaababaabaaaaabaababbaaaaaabaabababbaaa
+abaabaaababaababaabbbbbbaaaabaabbaabbbabababaabaaaabba
+bbababbaabbababababbabbaabaabbbabbbaabaabababbaaabbbbbbbabbbabbabaaababaaaaabbbbaaa
+abaaababbbbaaabbbbbabbaababbb
+babaaaabbaabbbbaaabababaaabbbbabbbabbaabaaabbaaabbaababababaabaabaaababaabb
+aaabaabababbbaaaabbaabb
+baaaaaaaabbabbbbaabbbbbaaababbbbaba
+abbaabbbbaaabbbbabaaababaabbbabbaaabaababbabaabbabbbabbbbabaabbbbabbbaababaababbabbababbbabbbbababbabb
+aaabaaaaabbaaabababbbaababaaaabaabbababbbbaabaabbaaabbbaaaabaabbbabbbbaabba
+bababaaaaaabbbbbababbabaaabaabbbababaabbababbabaa
+bbabaababbbabaabbaabbbbbb
+babbabaaaababbbabaabbbbbbabbabbabaaaababbaabbabbbbababbbbbbab
+aaaabaabbbab
+bbbaabaabaabbaabababbbabbbabaababbaa
+abaaabbbbbbaabbbbaaabbba
+aaabbababbbbbaaaabbabbabbbaabbabaababababaaa
+baabbbababbabbbbbaaabbaabbaaababbabab
+bbbaababaaabbbbaaaabbabaaaabbbabbbababbbaaabaaaaabababbbbaaaababaababaabbbbaababaabbaaaaa
+abbabbaabbbbbbababbbaabbabbbbaabbaaabbbbaabbaabbbaaabbbaaaababbabaaabaabbababbbbaababbabbbba
+bbbbabbabbbbbbabbaababaaababbaabbbaaaabbbaabbbabababbaabbababbaabbbb
+baababbbabaaabb
+bbbaaabbaaaaaaaaabbbabbaabaaaaabaaabbaabbaabbaaaababaabbbabbbbbbbabaabbbbaaaabaabbba
+aabaababababbbbaabaabaaaabaababaaababaabbbaaabbabaabbaaabbabbababbbbaaaaabb
+babbbabbabaababbaabbbbabbbaaabbaaabbbbabaabababbaaaaaaabaaaabbababbaaababababaaaababbb
+aabaaababaaaabaaabaabbabaaaaaaaabbabaabaab
+abaabbaababaabaabbbabaaabbababaabbbbbaababbaaaaaabbabaabbaabbabbbabbababbababaabaababa
+aabbbabaabaaaba
+baaabaababaaaabaaaabaaba
+abbbbabbbababaaaaabbb
+abbabaabaab
+bbaaaabbbbaaaababbaababbbabaaabaaabaabaabaaabbbabaabbbab
+bbaaaaaababbaaababaaabbbaabababbababaabb
+baaabbbbaaabaaabbabaabaaaabaaababbbbaaaabbbaaaabbaababbb
+babbbabbbaabaaaabaaabbababaababaaabaababbbaabbabababbbaabbbbb
+bbbbbbbbabbbaaaaabaa
+bbaabaaaba
+babbaaaaabbbbbaabbbbaaaaaaabbaaaababbabbbbbabaaababbbbbbbabbabbbabaabbbb
+babaababaabbbbaaabbbaaaabbbabaabababba
+bbababbababbaababaaabbababbbbbbabaababbaabbbabbbabaabaaabbabaaabababbbaaaabababbabbb
+abaaabbabaaaaaaabbababbbbbbabbaababbbabbbbbababbbabbaaaaabaabbababbabaaaaaaaaabaaabababaaaabbaab
+aaabaaaaabbaaaabababaaaabbabbabaaaaabbabbbbbaabbaaaaabbbaabbababaaaa
+baabbaaaababababaaa
+abaaabbabbaabababaaa
+baaabaaabababaabaabaabaabaabbbabaaaaaabbaaaaabbabbbbabaaababaab
+bbbbbaaaabbaabaaabbbaaabababbbabababaabbabbabbababbbaaabb
+bababbabaaaabbabababaababaabaaaabbabaabbaaaabbbbbaababbbabab
+bbaabbbabbaaaaabbaaaaaaabababaabbbbbabaabaaabbbbaaaabaaabaaabaaababbbbaaaaabba
+baabbbbaaaaabbbbababababbbabbabaaabaabbbabaababaaaabaaaaaaabaab
+abaaaabbaabbabbaaabaababbaabbaaabbabbbabababaabbaabbbabbbbbbbabbbaaabbaaababbaaaabbbbbaba
+bbbabaabaaaabbaababbabbabbbaaaabaababaababbaaabbbababaabaabbbbbabaababaabbaaaabba
+bababbaaabaaaabbbabaabaaabbaaabaabbbaaabaaabbaaaabbbbbbbabbbbaaaabbb
+ababaaaaaabbaaaaabbbbbaa
+bababaababaaabbbaabbbaabbbaababaaaabaabbbbababbaabbbabbbbababbaabbababb
+abbaaabbaabbabbbaabababbbaaabbbabaaabbabaaabbbbbbabbbbaabbbbbbaaaabbbababb
+aaabbabbbabbbbabbaabbaabaaaaaabaababbabaabbaaaaabaaaabbabbabaabbbbbabaaba
+abbaaaaaabbbbabaaaaabbaaabbaaa
+bbaaaabaaaabbbbbbabaaaababaabbabbabbabbbbbabbaaabaaaabbbbaaababaabbbaaaa
+aabaabababbaaabbbaabbababbbbaabbbbabbbaabbaaabababaaaba
+abbbabbababaaaaabbabbbbaaaabaaaabababababbabababbabababbbaaaaa
+abbbbbaabbabaaaaababbaaabbaaaaaaaabaabaabaaabbbbbb
+bbaabaabaaaaaaaabbbbaab
+baaaabbabaabbbabbbbbabaabbaabbbbaabbbbbaa
+abbbbbbaabaaaaaaaaaa
+252 249
+dbbbbadccbacccbacccdcd
+bcddbaadbacdccdddbabccabdbbca
+babbbbdadcaccbadaccbcbddcdaabaddbabacadccddddadabdcb
+bbaacadbbdaaabbacaccabacdbacdaaabbaacdbccbbbabdbdcacabcacdcadabbabbdbbbd
+adaddadddcbadbacdaaccdbadadcacdaddbcbbbaabcabcaabcaacacbbadddcacbbbadbdbaadcddbcabbdbbbadbddcc
+caadbaacadabbaba
+bbcaacbabaadc
+bdcadcbdbcacdacaaadcdabcbdbdbdccabdaababbdccdcaabacdcbdbcccdcbabaccbdcdbcadadabdcaddaada
+dbcbcbbaabadacacccacdabccacdbdcbcabdd
+bccbaddabdbccacacacaabdcacbdcbdcddcbdcdbbadbdaaadadacabdbddbbabcdbadabccdaccbabbdaabbbccacccacc
+cbcdccbaddaddcadcdbbaccabccbbabdaaacdcddcddddbaabacdbddbbdba
+ddbccdcccadccbdcddbabbabaddcdcdcccbaabdddacbdabddbabcdadddbbdcacdadabaacadaacadabaccbcdcca
+dbdddcaadbadabdadccbcdadbddbcaacbbbccdabcbcbdcccddaaadcbccdacacdcbbbddacbccaabcccccbbcdcabdccbaa
+bbddadacacbaabcdaaacadbcd
+adacdacbccdbddccbddcdcdcdabdcacacaacbab
+cbdbddbdbdadbabaaaddaaca
+dbbdbdccdddbcbddddbcdcc
+bcaacdbaccdaccadbadaadddacdadbcadcbbbdacabbbdabddccdaaddbbabbcbaccdccdbcadcdbcbadadcccdacadcaabcadacdcacbc
+acccddcccbaabbbbbd
+addaadcaddccbddddbdddddcbddadabadaddacdcdabbcdacbaccbccbbbdcddaaabaddbcadbdbddadbddcaddacababbcdbcaaadbacad
+dcdadaddbdcccbbddbdbdbdadaddcabccaabaccdcddccddacbabdbbdbadacabbbbadbdbbacaadaaaddaaadbdcaababacdbcbadc
+ddabcaadbadcababccdbbcbddbcbdcdbaabdcadccdacbcbadaddaadbc
+bddabadddddabc
+accadadacdcbdcdccbccbbdcccbd
+ccccabcbcddcdbbccbbacbacabadbdaccacabaababbbadbcdcdccadcadccccabddaccbbacabbddadb
+accabbabdcabbcdbbbcbdbcbdadcbdbadacbddadacdabbcbddbdcdaaccaaddccacdc
+cadadcccdbccacdbaacdacdbabdbbbcdaddccacacdbcdbcdaddcbcdbdccccbcaaabbadcbdcacacbbadadb
+cbcddbddcabbbadabbbccdadcbbdcaddcdabbbdcabbcacccd
+bdddbddcddbacababcbacbdbacdddcbabccbcbbbbdcbacdaccdddaaadcbbadabbbbbdcabcbcabcdabcddbdcbdbcbbc
+cccbabccccdba
+cbddaaadadcdbbdacbcbadaacbaacadddbacbdabcbdacbadccb
+bbacbbaabbbbcdadccabddaacccbbaccbcbdcaaacbdcdbcbcaabadb
+adddacccabaabbddddaaccccbcddcadbcadaadcdbbddbbdd
+cdbcbdcdabcacbabcbacaaccdcbabbddbddbcccadadcccdbadadbacbabcadcadbcdaaccdababcada
+aadbbacadbdbcccacbcaabacdadbcadbbbbbbbbdbccbbcbcccbbababaadcaddbbccbc
+bdcbcbdbaaa
+ddcdbadccbaacbadadcbbcadadbdacbadccbdbbdcbbdbcccbdbcab
+abcaabbadaabcadbbdaadcddddabcacbbbbdadcacababaabddcaabdaddcabbddcdddccbacacb
+cdccabaadabaacbaddbcddacbdccbdacdcbddbb
+ccbcccacaacacbadabcbbaacbacacaccabacbccdadbdddbcbacdda
+dbdaabdbccddabbcbcddabdcaacbadcdaccdbbddbdcdacdbbab
+abdccabaacdad
+ddcdbbacaacddadbdacdbbdbdcdddaaccabdbccdbdabcdaaaacbddaa
+bccacacdadaddcbddcbcadabddb
+bdaabcabcbddbabcbbccdabbcbbbbcacbbcbacbcadabaaddcadadcbadbaadadcbcdacdcbcbacadccaadbccbcadbccabcccabd
+cbdbcdbddaddcbdcaadccdadddbbdabbdddcabadcadcdaabdcddbddbcdcdabdccbcbbdddcaddadcdaaaaacaddcabbdbddabdadaaaab
+bdaadaadcbdcccbadcbddcddbbdaabbdddbaaacacabccccdccdacbbabdcabadbbcacaaddbdabbaddcdddcab
+adbbbcdababdddacdddaadabcddaaaabdaccddaaddbaccbabbdcdcabcdcbdabbddccaacbdadaacbbdbacdcdacdaadaa
+cdaccdacadbbadacdbccdcaaaacdbcdddddaa
+ccdcdcacbcdcbbbcadcbbadccdadccacadbdbacccc
+dacccacccdabdccaaaddbaababdadacccdcaacdabadcdbbdacbdbcdbbcbadbabcaddabbadccbbbaaacdbabbccca
+adbbccdcaabcdcabddbbddadaccaddbdaacacaddacdb
+cacdcdbcbbabcdccbcdbaadbb
+aacbdcabadcbcbddc
+bdccddcbbdcdcaadaabccadbcacddbdddbcdccdbdcbdaa
+ddcdbabcdbdbddadbdacbbdcaccbccadbcdcbccbdaac
+adcaadccbcdcbaaabaccdbdddccaaacabadbddabcacabdbaacdcbbbbcbdcdaabdacabdbcaaccbaabdbcacbaacabadaccdcdcbcacc
+bdabdbabcddcbcbadccabaccdcdabccabbccddcbbabdcaaabcaaaacddbaabddaaacbcdacaacdaadabadcbaadcacaabbbda
+babdaadcabbdaddcbdcadbbcbadacabbcdbcbcacddbcbddcacbcbbbacbcdaabadacabdadcbaddaccadabbdabababcbc
+ddbacbbbabdcbcbcdbcadbadacadbcaadcbaababdacbcbcbcbbdbbccdacbdaabababdbcadcbcbbaddcaadab
+dcdcabcddccbdbabdacdacccdccbdbadbdcdbcacddcadbbccadadcbbddbbbcbbbcdbcbdbdddaabdaabcbadcaabc
+aabbcaacbcdbaacaaadbdddcacbaccbbbdbdbaadaa
+ccddbbbabdaacdddabcdababcbb
+dbdddbcbcbbaaacabcadaccccbaadbabdcbadaccccbcdcdbcddbdadccadccbbbabbdddbaddadcbccacabaabdadadbbbbbbbaaccab
+cbdabcaabdcdacdacadadbacbdbcdacdcbbadacacbacddbdcdacbcbbdbadccbcabd
+ddcccacdcdcdcbbbdddbc
+bcddccdabddcdbaddbbcaabaaacaccdabdcabdbbddcdbdcbcaaadbbccccddcd
+ccaccccaadddcdabdcbbabaccccaccbacbacca
+dbbddbddbbacdcaacaddcabdddccdddaaaabcdca
+bccacadaaadbdcaaddadadcbcacddbaaddbcdcdddddaacdaabbdcdbdbbdacacdaccadcbcdcdadcaaabaccdccaacbbbccaaacbccbbc
+dbaaddcbbdacdabcbcacdacbbacaacbaddbdacdcabcaabddabadcbdbcadbdacdaddadcdbcc
+bdbbdbaaccbcbaacdccacadcdbbccccbddccbccdcababbccbbcdccbadccacbccbadbccadccccc
+dabaabacddcbbacabddcdcccdcbdcabccadbddcbcbdbacdaacdaacabdcabcbcdadacca
+ccddbadadbdbaaadaccdabdcabbcdcaccdcdb
+dacdcbaddbdabaacdabcbcabdabbcbcabcbddabbcacdaddcbddcacbabbbaddcbcbbbddc
+acdabcdcccaabccdbacbdccbddbacdadadbcadbdaacadacbbbddaccbbcbbbaaccaccbaabbdaaacacacdccacdcbcccdacabaaab
+aadccddcbbbbbbcbabdadbbb
+bbdbaabbacdbdbccaadbdbcaabcdaabaadacdbdacddbdbbcadbcacdadbb
+dbbbbbbbabdabbcdadcaabbbdacabbadbcbcbddcbabaddcbdbddcddabbdcbddabadbcd
+abbccbcddbdddd
+cdaadabdbdddbdbcbaaabcdccdcbaaccbabaadcaaaaacbbacaccbcbcdbddcdbcaddacadabcacaaccaccbddbbbcdbbaccaddddbddddad
+daaacddddbbbcadcccabdcaacbaabdcdbaad
+aadacbdddcbacdcacddbadaadcadadaacccaaadcdbbcababccbbca
+ccbbbdccdacbcbbcbbdcccdaabdcdcbddacdcadccbbccbabbdcccbadaaddcdbabbadccccbbdbcdbadcbcdaabddcabbaaaaddcdbadbab
+dbcbcddbbabbdcaacdcdcbccbacacddacbabbbcbaaddaababbdbbbbacdbddaabcdba
+bdbdcddacabdddaacbddbadddadacddbbcaadabdcdcacabdcdca
+ccdadcdbbcbbccbbcdddccadbcadacddadaadcaabacbbdccbabbccdadbcbaadcaaddbbcbadccaabdabbbcaccbddcdabcc
+dccbabbbcddccbccdabbdabadccbadabbdaabaddaccacdbdbadcadabacdacdcdccbbcbcdd
+cadacbcadcaddbadcccdadbcadccddbcaaadbbddbadbbddccacbbcabcbcbdaabbbcabaadabccbaadaaaabbabbdadba
+bacaddcaabaabaabcddadbbbabbacaaaaddcadbcabdaadbdabbbabb
+abcaccbbabcbabbbaab
+cadbccaacdcddbdcddbaabcdcabcacddcacaddacbdacbd
+aadddbbcdaacbcabdadbdddbcbadccbbbacaccccccdbadbacbccdaaaaddbddddbbdbcccbacacbcdccbada
+dacaddabcabacaddbbabbddadaaaddbcbabdbbccdabaddccdbadccdaccabcbcabadcdadcdcbcacdbddcbcacadddbdaad
+accbdbbbdbaccacdcbadaaaadcbcca
+ccadcadcadddacadbcdbacbccbcadcbadbbcadabbbbcdcbdaddbdabbccbbdabbdddacbdcbadbddbabbbabbaaddbbdadbabcbba
+acdbadccbacacbabbbdcbdbbbdbdddaadddda
+ddcdcccbbbbccbaccdaadbadaaadbdabcadbdbcacdbcaabdcbcdda
+ddabacdcbcdbdbaddabbdbabccbaabbcbd
+babccdbacaaacddccdadabbaaabba
+dbccddcccbdabcdbdbadcdadbbbbbcabadadbaddadbdbabdabcccaaac
+abddcbbacbcaabdbbdcdbaccabddabdbbdaadacdccbcbaabbaccbbbac
+dadbbbacbaadacddbcdddcabdadddbb
+cdcdaaabddddaccddbbdacadaaddababdacbbdddbdabcbbbbbdddadaddcdbccbbbcdbdbadcdcccdbcbdcbdacdcbbcdcacad
+ccdbacddcddddcddddcacaddbabcacddbbdbcabcbbdcdacbccdcbcbb
+bcddbaaacdcaccdacbcdbaccdcdacdccdddcddbbadabbcbdacdccdadcdbdcabcbacadcddcadcab
+badbdddadcabdacabcaddaacbcaabbbaddcbabbcdcadabbaadbddccbdb
+dbbdcdcbabddddccbaadbabaacaabddbccdba
+cadcacaccdddacadddadbdcbcdaadccaaccadacbadccbcabdacadbadacdaacabddddccb
+cdaabdaaddbbacaaaabadbdccbbabdbdccabbbbcbcbdacddbbbbacbbcbdadaacaabbddabddacdababacb
+dbddccabcbcabdaccabccdbcbaa
+addcaaacdcdaabdabdcdcbaca
+accaaaadaaacdbcdbdabdbbcacbabaacbdacbdbacbabddaccbabbabbdadadbaaccbcddcbcdddbadaddaacabdddcdabbadccbbadaba
+aacbcdaabcbcddddacaaacbacbadbcaabcdc
+cdcadbbadabadbacbbbdacbbbdcccaaddcbdbacdaadbdbdddbaaddbacbdadcacabbd
+ccacbcbdbcddcdaaddcbdbccabbdbddbbcbbbb
+baabadadbad
+cbcabbddccbaadcbddabcacdbdbaabaacbdbaabaadcdcaacdacdd
+abdbdbaaaacbcdaaadccdcaccccddbaabbbddcbaab
+bcbacdabdaaabb
+aaccbcadabbbccbabdbbbcbbddcacbababdaccbadcabcaacaacacdadbbcdccacdaccadcccabbbbbdacacbacbaccadaacadabcaacb
+dbaacaabdbdcccdaadaddcbaaabacadcc
+dddaacaaabaaabadaaaaabadaaacaaacdcbbdadacbbbcdcdadbcbbaaaacccacdbdccacbcabaaccaacddbaa
+abddbccaaaabcaddbcadbcacaabcadcabbcdaaacbcbccbbaadbabaabbddccbaadacdddabcbcacbcbdabcdbdcdddbbddbdadabbbcbaccc
+ddcddddcbbddbbbccbbcbddbccbcdaab
+cbdccdadbcbbcabbabbdaccdaadaaddbdbbadbddacacabcbcadabcdbaabcdbdababddcdddcddc
+bdccbdadddbddcbcdbccda
+ddbbbdbcaaccccbcccdccbbcacdccccaddccddddbbdbbbdcbbcbaadccbcdacdacbbadcddcdddcdaccdcbddacbadcdaccdbdbccdacbdc
+cabbdcdaacbcabccdcdbacabdbddccdccdabdaaddcbacbccdacabbdacccaaaaacaddcbaababcadbcaacabbacabdcbabaaabddba
+ddbcabcddbcccdaaacabbcdbabcdddbdbcbcdaadcdacdddcdbaddcabdcaddcdbcaadbabbaaaadbdddbbbbbcaccacacbbd
+dababcbdabddc
+cdddaddcbdbcdbacdddaaabbadcaddbaadbcbcbacbbbacbcbaabccac
+dabbcdbdcbadcdadbcaabbcaabccdbbcbbabcccbbdccdcaacbdaaacdaaabdbc
+bdbddaadbba
+ddbcdbdcaaacbbabbbbccdbccbccba
+ccbdcbbaabcbcbbbdacabbddadcaabdcdbaadaacacbaddaccdbcccdddcdddbcbdadbddabcdcacbcbccdabbbdbdaddcdb
+adbbcbcbadbdaccbccccdddadbaaaaababbcaa
+aacdcbbbccaaccddbbacddaababcdbcdacadcaddcbdabdbabdcacaaacdbab
+adcbcbbcadddbacaaddac
+dcbaaababaddcddcadacdbc
+aaadbbccbacddddcabdcdbcaacbdacdbaabdbdcdbddadbdbbacaababcaacccbbabcdaac
+cdababbadcaca
+daababdbbcacdabacddabbdcbadaccbbadddaddbbddacd
+cbdabdccdcabbdcbabbbbdcbaadadcdbbdacb
+cddddcbdaadbdcdbcdbbcbacadddddcabdbadcbcccabbdcacbcaccbddcbcccabbddcbbacbdcdbdabbccadaaccbcdcadaabdbaaddbcb
+babbcaadaadbacacabbaabdccdcaabbadcddcaacbadaaaccbccbddccdaacbdcddacbcbdcdaadcadbbadbccbdababadcbbdaabca
+badcacdcdccdbdaabddcdbaccbababaadbcaababaaaabacdcbabcccdabbbabdadc
+cdccddbbabcacbcaddaddccbadabaccddbbabcdcabccacbcaaabaabcdddaddddb
+cdccacbabddcabbdbacdacdacdaaabdaaabbdbdadbbccbdbdbcacaccdabaadcacdbbccdbdbda
+dcabcacccdbdacbabaaddbdbadaabbcdddcdcdbdcadbbbacacadabdbbaacaabbdcdbbbcaaacbcddaaabbccbabdccccd
+bcbabdaccdcbbaacbcadbadddccccbaacaccadddbacaadaaabdaadbbadcbcbcdddbbddad
+adbbddbcaddacddbbcddcaababdababdbccdbbbbbddcbabbdabacaddcaccaccddbaabacbccadbdcabbc
+adbcdccbacbadadcadcbacadabdddabcbcdccacccaabddcddbaabcbdaddccccdddadcdadbbaabcbadddddcbcdadaacaaa
+caaccdadaddbcdabbdbbddccdddc
+bdccbacabaddccbdbcbaacaaacbcb
+bcaabdbbddddcda
+addbcdbcaddabbbbbbbdcbbacabcdddcdbcbdbadbbacbdacccdabdbcabcbdcbdcabdcacacbcaacbbdccbdabcbdccddddbadc
+cdbaddbcddadabbcdcdbbcbcacabaddcbbcabdcbcccbbbabddbcdaabdbadabacdabadcacddabbddbaabcadd
+aaadacdbcaabcdbcbadbd
+aaccbcccadcdcbbbdddddcbdbcddddbccddddbccbbdcbcabbaccaaddcbcddabad
+bcbadbcacabac
+cdbbdccdcbdacbacdcabbdbad
+bbacdbaccbbbaccbcbaaacbdbadaadacadadbdbabbcabcbbddbbdcbadcdabbabadbbdaddaaaccdcbddadabbdbcbcddccbcbbdccb
+bdcdcbbaccaadbbccaabdacddadaddcaacbddaaabbdacbcbbadccbcaddcdacd
+bdaddaaaaadacbaabcdaababbbdbbdacbbabadaacdbbbcaaadacdbbcccdadaaaddaaaaaacbddbdbddbccbadabdcbcbacdccbbcdada
+bddbacadccaabaaacaccdbbbc
+ddacdbcbccdcccbdcbbdcaaadddcbbaabcdddbdbbbdcbb
+daadbdcaacddbababcaccddabdcdccabdadcbbbbbaaaccb
+aaaadccadadbdaabbcdaaccadcbadccbcdacbadbbacccbddbbbbccaaaccbdacbcdaddbaabababddbdadbddbadacbbdaacda
+caaaddbbbddabaaddccddbbdccdacdaccaaddddacdbbbaacadabbddadbccccbcbdadcacbacacdbcdbcdaddcbbdcbbabbcdcacc
+dddbdddadcbcabbbadaaacdaaabdbdbccbabdacacc
+aaabbdcdbdccdcacbcacdaddadacadbcdcbaaabaaddadcaabaabcccbacddbacabbdcd
+bcbcadccacaddccadbcdabbcdbbbbdcbddcdcdbbcbadcadbcdccbbcbcbbcbdadbaccbcddcbdcdaabd
+dbbaacdadadcccbaadaddaabdadbdacacdabaacbdcdbabbdbccacababbccdbaabdacbbdddabddadcaabdabbddcababccbdcacab
+dabdbbdbbadbdcdbabaaababdcbbbdaabbdadddcbdbbdbcccbccbadbabcadbcdcccbddcbcddcabadcddaaccddbdbcc
+badcdadccabcbadbdbabddaccbcdbbbdaadbcaacbacbdaadbdbdddcdccaaddbdbababcbddbdccadccdddddcbcbdcbcdbccadccbbdadcd
+badddabaccbdcdbbacdb
+bddabdadddcccabddbbbabbdddcdbdbabcbca
+aadbddaadbbadbbcdaddacbcadcaccdccbacbaddddabbdcbbdbaccddcadaddbbbddccbcbbcdaadabccbbd
+cabacaacbccccbbabdcbbaacdbaccaddbdacccacbcdbccadcadbabddaacaacbbdb
+dcccbdcaccddddddadccddaaaccacaccdcddaaacdcbcbdbacddcaccbadddbbcbadaaaadbdbbbabdbb
+dcadcacddadbabdcaccadacaaaabaccaadcbcbbddcddaddaadaddacacadacabdadabdabccadcdaa
+dcccdddbabcdcdcbbbaccbbcdccaabccdabaaadccbbb
+acdcdababaddbbddbacadbaccbccdcaaadccbdcdadaccbbaadbc
+bbddcbddddaaccbaccdcaadabdaddccbababcbbdcadcbcbbaaddababdbaccbabadbacacdcddbcdbbcbaacccadadbbcd
+bdaaaabbdcbddddcddccaccacdaacaacddacacdacccccacdbbbbdddaaaccddcdcaaabdabdbacccdbbacccdbbdacdaa
+bdcbbcbcbcbcdacddbcbcaccdbbbddcbddbbadbdbaabbaaadccbbbbaddaabccbdcabbacacbdababaddddccdcccdcbbcacb
+cacdaccdbabbdbdcbcddbbaccdababddaccaaacbadabdbcbcbbcabcbdccddacaddaccabbd
+dcacaaaaddcddacdcdacdcbdddbdbadbcbadbaccdbcccccadcbdcbbbcbaddbcdcabbddabacdbbcddcbabddabbdcdbcda
+bcaadcdcbbcbdacaaddcbbababbcdcddbddcccacbdcbcaadbaddadbcacacbbbcdbcddddccadabdadbbdabcdcbadbbdabdbddb
+cbbbabbbccccdbbccdbdbbacabacbacadcaaacababaadcbbcdbbbabaaabbcddcaddcdcbcbbdcdabbbdacbad
+dccabaacdcddbbbbadadcdacbcbbcaabddbdcbaccaaccbcabbbdcadadaaac
+adbdbcbabccabddddbcdbacbddcbcacbdcaddbaaddbbbcdaaddddbdcababbccbaadcbabcccb
+ddbbbbacaddbcadadbccccccdbbcabbbaacdac
+abbbbdccadcacabccddbcaddcabdacddadbdccddbdaabbbadaddddacdcdcaaaadaccacabbacbcbadcbcdacabdbcbabbbdadaaa
+ccbaabcbddcbddccaaaaccbbdaadddbdccabbaddbbacacdcadcddddbadbddbcdcccab
+bcdabcbadcabdbccba
+abddcbdabbddbacbddbacbabacbabdddcdaacabacbdadcbbaaddccaccdcdaababacddbbdcdd
+aacbddcccdabcdacbaa
+dacaccabcdbdadddadadaddcbabdabdbadbaadbbdaaaccbcaadacaaccbbaadaabddadcdadabbcdcbdadcadccabddcddbcbbad
+bddcdacbcdaadbdcccabdadcbcbdaaacababdbcdaccbdddddadcdbbdcdcbcbacacccbadad
+dccdabcabbcaacabcbaabaabdcbbcdcddacadcbabbcaacb
+daadacdaaabbddaaadcdccbbacaadbadd
+cbaabbdcadcbdbaaaaabbdcdabdba
+baddddbbbdaca
+bdabbdcabadcdbbdcdaabccbdabdabdcbcccddbddbcadbcbdadcdddbdbdbddccddacadbcbab
+bcbbabdccbcbbbcbdddaaaddccdcbddabbbb
+bacbdbdcabcaabaadaadadbccbbabcbaccabdccacddccbbacbdabadcdcccddbabbacbb
+adbdaabccccbaa
+abbacadbccacdaddbadddcbdcdbcdca
+dbcdaccbcdbabbdcddcabcaad
+badcabcbdbbdbbacdbbcbdadcdccdcdcdbdcccbbbabaadabbadddadacbccccadaabbbdbabcabdcbadbd
+bbcbdbbbaabacaddcacbaaacbdddddabadabaacbabbcdccb
+bdaabdddbacbbbdaddabcdabdbcdadaabaadcabadcbbdcabddabdbabcabcdbc
+dbabbabdabbbdddadcbdcbbbbcddbaadabbdccdccabbcbccadcbdcdabdbcbdbcaabaacdbbdcaccbbaddcacacbdbdacbddbcbdccbab
+bcbdbdacdbdbcaacacbbdaaadcc
+aaadbcbbbbacbdddbbabddbdadcdcadccbbddbcbdbcaccccbdacdbaaabdbcacabbbdcaccdbabbaa
+dadbdcdcdbddcdba
+bcbdcccadacaabccdcbabdccabbbcaddcccbdcaaaddacbddcacbdbdbcbbaaad
+ddadadcbadcbaabbacddbbadbddddabaacbdcdbddaababcaacadacbbbaabacdbaccaddaddbadcbadababcadadabaddacdcd
+abdccccaadacadbacbccdaadbdbaaabcbbabbbbdabcacbdbaaccbcacccdcccadbbcbcccdbccacb
+abaadcadddbcdbbabbcacdbbdbcacddbcadb
+abdddacadcbbddaadaadbbbbbbbbabccaacadbaddaaccdaacbdbbdddcabaacbcbabacdbaabacdddadaabaacd
+aaacbdaddadacdbdabdbabcadcccacdadcdaccddbbaddcc
+adaccdcadabdcabdddcbaacddaabdcddbaacaadbbbdcdbdaadbbaccdbdaadbbbbabcadbbadabdcdcddacccdcdaabccbabadabbdbaadcd
+adabaaaaacbccacccaaabcdbdbabbcaabdcbdddadcdacdbbdddbdbdaacdbcdababdaccbcdadcbbcddbbcbdbdbbccabadab
+ddbadbdbadcabaaacadaadabccdacbcbbacaddbababbccadcadbcdbbdaaabaacbadbddbcdababddaccaddbdadbacac
+bcbbdccbbddadbacdbaaacbdab
+cdcccacbccbbdacbdadacacaacacbdddccacdbddcadbaabccaaaadabdbcdadbaddbbaacbcdbcbaadaadd
+babcbdcbcabdddbacbddabbdaacccbccdccbbdddbccdbcccbacbdcacadcbdacaadd
+cadaccdcaaacddaabddcaadbcbabdaddddbbcbdbcdaacba
+cdbdbcdccdbdcabdcbddccccbabcabcbcbcbbcdbacdabbacddccddaabdccc
+addcbdcdcbaddaababbbccabdddaddcbabadbcbaabcbcbbaadbcdadbcbabbbcaabccbbcbbadaccbbcdcdbddcbbbdacc
+badbadadcbabacababaaaabdaadbbcb
+cddacdcccabcadadbbacbabdacccabbbcaadcdd
+aabdabdcdbbaddcdbbdda
+ddbbcaaddaaccbdddacdcacbdabbdacdacbadcbaaabadbcbbddbaabdaddbccdcdcbccaaabcbdaadadb
+dcdcdcdcbbddcabbdcbbbaccc
+badcdaababaabbbcccbcbdadcbdcacdabdbcbab
+ddabaadbdabcaccaabcbaacdaddcdddabdcbbbc
+bbdaacdaaccabdcaadccabacccbabcbadabdcbd
+badbcaacbaccadddbdcacaaaacadbabcbd
+abcdbbbdacadcabccadcdcdadbcbcbacccdcdbddacdbdcddaaacadaca
+bdbaacaadbaabdadaacccbaacccdbbdcbbabccdaddbbdcbdbbbbaaccabbccbabcabacaccccbbcdabcacdcbccbaaddcdaaabdbc
+bbacccaabbddbbbdccbbbddbdccddbaadbabdacadbdcabbcdcacdcbabdaadaddddabbdcbdbcadacbdcdcbccaddaaccaabccdaaaaab
+aadadbacbbcbcdcdacabaddddaacdccaccbdabbaddbbb
+dadaacbddabaccabbcdccdcdbbd
+dddabbaddaaaabbdcdabbbccbaabdcdbdcabbddbbbbaddaadcaaadaaddddacacaabbccc
+cbcaacacadadaaabdcbddadacddccddcabaddcbaacdaadbcd
+bdbcbadbcbaddbcdaaabcdbcccdcccdbdabbabcbbbddaaadcaacdabbcccdabcccbdbbdbbccdbb
+cadaadadccbaddacabadcbbacdbdbaadbbbbacdcdbaadcbdacbbabadcacdddadccd
+ddadccacacdbaddacadabcdabadaabcaacaaabdadddbccdaacccadcdccbcbcaccaacddbbbbccdcdbacdcca
+244 41
+abaaabbbabababbaaabbabbbabbabbabbaaabaabaaabaabbababaaabb
+baaaabbbaaaaaaababaaaabbbbbaaaaaaaaabaaabbab
+aabababbbaaabbabaaaabbaabbaabaababaabababaabaaaabab
+aabbaabbbaaabbbbababbaabbbaabaabaaaababaaaaaaaaababbbb
+babbbabababbaaabaabbbabaabaabbaaaababaaabbaaaaaabbaabababbbababbaabbaabbababbbaba
+baabbababbbaaababaaabbabaabbababbaaaaabbbbabbabbbbabbbaabaabaaaaabbbbbaaaabbbbbbabbbabbaabbaaabbaaaaabbababa
+baabbbbbaabbbabbbababaabbabbaaaaab
+bbabbbbaaabbabbabbbabaabaaabaabbbaabababbbbababaabbbbabaaa
+abbbabbaabaaabbaabaababbabaaabaaabaaaabbbbbababababaaaaaaabaabbabababbbaabbaabaababbbabbb
+babaaaabaaaaaabbbbbabbbbbbabbbaaaabbbbbaabaaababaab
+baabbbbaaabaabbbbaaaabaaaababbbabaababb
+aababbbabbbabababa
+bbaaaabaabaabaababaaabbaabbbabbaaaaa
+abaababbbabaabbaaaabbaaabababaaabbabbbbaaabbaaaaababababbaabbabaaaaaaabbabaabbabababbababbabaabb
+babbbaabaaabba
+abbaaaaaaaaabbaaaabbbaabbaabbbbaabbabaababaababab
+baabbbaabaabbaabaaabbbbbaabaaabbbbaabaabbbaabbababbbaabbbbbabbb
+bbabbabbbbbabaaaaaaabaaaabbbbbbbbbbbaaababaabbbabaabbbbaabaabababbabbbababaaababababaaaabbaaabbb
+aabbbababaabaaabbbab
+abaababbababaabbbbbbababaaaaaabaabbbbaabbaababab
+ababaaabbaabbaababbaaaabbabbabaaabaaaabaaaaabbbaabababbabaaabbbaaabbbbbaaabbbabbaabaababaaababbbabbabbaa
+abaabaababbbbbabb
+babbbbaabbbbaababaaaabababbabaabaabbbbbaabbbabbaaaaabaabaaabbbabaaaaaabbaaaababbaabbaaaabbabbabababbaaaa
+ababbbaaababa
+aaabbaaaababababaabaababbbaabaabbaaababaaabaabbaabaaababaabababbaabbabaaba
+baaaabaababbbaabbaaaaaaabbabbbabbabaabbbbaabbaaabbaabbbaabbaabbabaababaabbbbabaababababaababaaaaaaabaab
+bbaabbaabbaabbbbaaabababaabaaaaaabbabbbbbbabaaaaaaabaaaabbabb
+baaaabbabbbbbbbabaaaaabaabbbbabbbaababbababbaabababaaabababbbbbbbbaaabaaaa
+babaaabbabaababbaababbbaaabababbbababbaabbbaaaaaabaababaabaabababbabbaaabaaaba
+baaabbaabbbbbbababbbaabaaabbabbabaabaababbabbaabbabbbbabbabbba
+bababaaaaababbaabbbbbaaaababaaaabbabaaababbbaaabaaaabbbbbabbbaabbbaabbbbaaaababbababbaababab
+aaaabbbabbabbbbbabbabaaaab
+babbbbbaabaabbbbbaabbabaabbaaaaababbaaabbbbbbbbababaabbbbbaaaaab
+abbbababaabbaabbaaabaaababbaa
+aaabbaabbbbaaaabbaaaabbbbbbaaabbabbbbaaabbbbaaabaabbbaaababbbabbbaaaabbabbabaaaaabababb
+bbbbbaabaaaaaabbbbaabbbbbabaaaaabbaaaabaabbabbbabbabbbbbbbbbabaaabbbbabaaabaaabbaaaaabaaaaabbaababbabbb
+aabaaabaabbbaaaaabbabbaaabbbabbababbbbaaba
+aaaabbbbabbaaa
+baaaabbbaaaaaabbabbabbaaaabbaaabbbbaaabbbbabaabaabbabaabbabaabaaababbabaaabaaaabbabaabbabb
+bbbababaaababbabaaabbbababbbbbbabbbabbaabbaabbabbaabbababaaaaababbbbabababaabbabbbab
+babbabbaaaababbaaaaabaabbbb
+abaaabbbbababaaaaababbbabaabbabbabbbbabbbbababababbabaaabab
+abbbbbbbabaaaaabaabababaaababaaaabbbbaaabbabaabbbbbaaabaaaabbbbbbaa
+baabbaababaaaabbabbababbaaababbaababbbaaaaabbbbbbaabbbaabaaaaababbbbbbaabaabaaaababbaaababaabbaabbbbaaabbbaaa
+bbabbbaabbababaaabbabbbaaababbb
+abbaaaaaaba
+bbbabbbabbbbbbbbabbbababbbaba
+aaabaaababbbbaaababbbaabbbbaaabaa
+aaaabbabbaaaabaab
+bbbababbbaaabaabbabbaaaaabaaabbbaabaabbaaabababbbbbbbabbaaabbbabaabbaababbbaabbbaabbabbababaabbbaaaab
+babbbaabaaaaabaaabababbbabbbbabbaabbbbababbab
+bbbbbaaabaaabbbaaaababbbabbabbbaaabbbbbbabaabbbbaaaaaaaaabbaabbabaabbabbabbaaabaaab
+bbbbbaaabababbbaabbbbbbabbabbbbabbabaaababbbaababaaaaaaabbbbbbaabbbbababbaaabaabbabaabab
+abaababbabbbbabababbaaaabbbbaaaabbbabbbbbaa
+bbbaababaabaabbbabaaabbbbabababaabaababbababbabbbbbaaaabaabababbaaabbaaababaaabbaaabaabbbbabbbbbaaaaaa
+babaababababaaabb
+bbbabbabbabbbabbaabbabababaaabbbbbababaaabbbaabbabbabaabbbbbbbbababbbbbaaabbbabaabbbbbbbababbbbaabaaaaaa
+aabbbbbbaaaabbbabba
+bbaabbbabbb
+aaabababbbbbaabbbbaaabababaabbabaabbaaaabbbbbaabababbabb
+aabbbbbabbaabaabbaabaaabbaaabbbaaaabbaabaaaabaaaaaaaaabbbbbaabaaaaaaaaaaababbbbaaaabaaba
+aabaaaaabaababaaaabaaabbbabaabbbbababbaaaaabbabbbbbbbabababaaabbaaabaabbabbbbba
+abababbaaabbabbaaabbbabbbaaabababbab
+aaababbbbbbbabbaaaabbbbbbbbababaaaab
+babaabbbabababbaaaabaabbabbabaaaaaabbbbaababaabbbaaaaaaabaaabbabbabaabbbbbabababbaaabaabaabbbaaa
+bbaabbbbbaabaaaabbaabbabbaaaabababbabbababbabbaaaabbbbaababaabaababbaaaaababbbbbbaabaaa
+abbaaabbabbbaaaaa
+bbbaaababaaaaaaabbaaabbbabbabbbbbaabaabbabbbaaaaaabbaaababaaababbaaabbbbaaabbbbaababbaababbabaaabaaaaabbbab
+abaaabbbbabba
+bbbabbaaabbbbbaaaabbbb
+bbbaababababbaaaababababbaabaabbbbbbaaabbbaabababbabababbbabaababbabaabbbaababaaabbabaabbbbabaaababbbbabaaaa
+baaababbabbaabaabaab
+ababaaaaabbaabbaabbababbabaabbabbabaaabababaaab
+aabaababbbbaaaaabaaaaabaabbabbabaaaabaaabaaaabababbbbbbbababaaaabbaaaabbaaaabaabbbbbabababbbababba
+baaaabbaaaabaaabaabbababaaaabbbabbbbaaabbbbabbbbababbbbababababbbabaaaa
+aaaabbabbaababbabbbbbaaaabbaabaabbaabaababaababbabbaababbaaaababbabbbaabbbaaabbbabbaabababbbbbbababaaabaa
+aaabaababaaabbbaabaabaabababbbabbaaaaaabaaaaaababaaaaaaaabbbbbabaaabaaaaabbbbbbbbbbaabbaabaabbababb
+abbaababbabbbabbaaaabbbaabaaaabaaabbaaabbaaaaaaababbbbaaabbbaaa
+bbbbbbaabbabaabaabbbaaaabaaaababaabbabbbbbbbaaaba
+aabbaaababaaababaabaaaabbababbbabbaabbbaabbabaaaa
+aaaaaaabbaaababaaaaabbaaaabbabaabbababbbaabaaaaaabbaaaababbabbbababbababbbaabbbababaaaaaaabaaaabbbbbbb
+ababbbbaabbbbababbabaaaababababbabaabbabbbaabaaaaabbaaabaaabbaaaaaabbaabbabbab
+abbbabbbaababbbaabbaaaaaaaaabaaaaaabbbabaaababbabaabaabaaaaaaaabbabb
+abbaabbabbbabbbbbaaababaabaaaaababab
+bbaaaaababbbabbbababbabaabbaabaaabababbaababaaaaabbababbbbbbbbbbbbbbbabbabbbbaababaababbaa
+baaabbbbabaaababbbaaaaabaaabaabbabbabbbbbbaaaaabbbaababbba
+bbabaababbbbbabbaaabbbabbaabbabbbbbabbabababbabaaaababbababbbbaaaaababbbabbabbaabbbaabbbabbbbabbaa
+baabbbabbbbab
+aababbaabbaabbbabbbbaaabaaabaaababbabaabbbbbbababbbbaabbbaabbabbbbabbabaaabaaabaaaabbbaaabaab
+bbbabbbabaaab
+bbbabbbaabaaaabbbbbbbbaaabbbbababaaabaabaabbbbbbaabaabbabba
+abbbbaaabbaabbbabaaaaababaabbbbabaaababbaabbaaaabbbaababbbabaababbbbaaaabbbbabaabbabbabbaabaaabaababaabbaaba
+bbaaaabbabaabbabbaaabbaaaabbabaabaaabaabbaaaaaaaaaaababbbbabababbbb
+abbbbaabab
+aabbabbaabbbaabaabababaaabbaabbb
+bbabbbbababababaaabbbbbbbbbbbaabaaaababababaabbbabbabbabbbaabbbbbabababbbbabbbaabab
+abbaababbbbabbbbaababaabbaabbaaaaaa
+baabbbbabababaabbbbbbabbaaaaabbaaababababaaabbabbbabbbbaaab
+ababaaaababbbbbaabbabbaab
+bbbaabaabbbbaaaaabababbbababbbaa
+bbabbabbabababbbaabaaababbabbabbbabaaaabbbabbbbaababbabbababaabbaababbaabbbabaabbbab
+ababababbaabababbbababaaaaabbabbbababaaaabaabbb
+babbabababaaaaabbbabbababbabbabbaaabbaababababaabbbbababbabaa
+aabaaabbaababababbbbbaabaaaabbbaabbbbbbabababaaabbbababaaababbbaaaababbbabaabaababaaababbbababbbaaabbbbb
+ababaababbabbb
+babbabbbabbbbabaabbbbbababbbbbabaaaaba
+aababbaaabbaaaababbabaaababbaaabbbabaababbbbbabaa
+aaaabbaaabbabbababbaabaaabbbaabbbabbbababbab
+bbbabbbaaabbaaaababababaaababaaaabaabbaab
+abbabbbbaaababababaaabbbbabbbabbbbaaabaaaaabbabbbaaba
+baaaaaaabababaaaabbabaababbbbababbaabaabaaaabaaabbbbbabbbabbbbaabba
+bbbbabaaababbbbaababbbaaabababbbabbbababaaaabbbaaabbbaaaaaabbbbbbbbbabbababb
+bbbbbabbabbaaabbaaaabbaaababbabaababbbbbaabaaaaaabaaaabbaabbbbabbbbbbaaaaaabbabbbbbababb
+bbabaaabaaaaabbb
+bbbbbaaaaaaababbaaababbaabaaaaaabaaabbbbbbbaaabababbaaababbabbaababbabbbaabbababbbabb
+bbaabaababaaaaababbaaaaabbbbaababbbaaa
+aaaabbbabbbabbabbaaaaaabbaabaaaabbbaababbbaaabbbabababaaaaaaaababbabaabaaaabaabbabaabbbaababababaabbbaba
+babababbbaabaababaabbab
+ababbbaabbaababbbaababaaaaaaaabbbbabbbabaaabbaaabbabbaabbbbabbaababbbabaaabbbbb
+bbbaababbabbaaaabbaabaab
+abbaababbabababbbaabbbbaabbaaabbbabbbbbbaabaabb
+aaaaabaabbaaababaabaababbaaaabaaaabaabbabbbbab
+aaabbaaababaabbbbabaababbbabbbb
+bbabaaababbabbbababaabbaaaababaabaabbaabaaabaaaabbbbaababbbbbabaabbabbaabbbababb
+aaabbababbbababbaaabaabababbabaababbbabab
+abababaaabbbbababbabbbbaabbaababaababaaaabbaaabaaabaabbabbbabbabaaabbbbbbababaaabbaba
+abbbababbabababbaaba
+bbbabbbaabbabaaabbaaabbbbabbabababbbbbabaabaababbbaabaabaababbababbababbabbabaabaaaabaab
+aabaabaabbbbabbbabbbababaaaabaaabaaaaaabababaaaabbbaaababababbaabaabaabababbbaaa
+aabaabbbbaabaabbbaabbbaaaabaabaaababbaabaabbaabbaaaabaaabaaaabaaaabaabbbaabbabaabbababaaaaabbabaabb
+babbababbbaaabbaabbabbbbba
+baabbbbbbaabbbbababab
+abaaaaaabbbbbabaababbbbbbaaabaabbbbbaabbbbbbbbbbaababbbaabbaa
+bbbbababbbabbaababbbbabababaaababbbbbaaabbbaabaabbbbb
+aaaabaababbbabbaababbabbbaaaab
+bbbbaaabbbaabaaaaabaaaababaabb
+baabaaabaabaaaaaabbaabbbaabaabbaabbabbabaababaabbabbbbaabaab
+bababbbabbaabbbabbabaaaabbbbaababbbbbbaaabbababaabbbbaaaabbbbbabbabaaabbaabbababbabaabbababaaabaabbbabbbaabb
+abbaaaaabaababbaabaab
+babbbabbbb
+aaaababaabbabababbaaababbaaaaababaaabbbbaaabbaaaaababaabbaab
+baaaabbbabbbbbababbbaaaaabababbbbaaababaababaababbabbbbbaaaabbabaaaabbbaaabaabba
+aababababaaabababbaaabbbbaaabbaba
+aaabbbaaababbbbabaabbbaaabbabbbaabbbababaabaabba
+aabbaabbab
+abbbbababaaabaabaabbaaba
+baabbabababbabbaabbbaaabababbbaabaab
+abbabababaaabaaaabbaaabbbbabaaabbaaaabaaabbababbbaabaaaababbabbabaaab
+aaababbabbbaababab
+babbbababbabbabaabaaabbbabbabbabababbba
+babbabbbaabbaababbbbabaabbbabbaaabbbbabbabbaaabbbaabaaaaabbabaabaaaaaabaabbbababbbabbbabb
+aaabbaaabab
+baaabbbbaababbaabababbbbbbbabbbaaaaaaaaabbaabbbabbbaabbbaabbbaabaaabbbbbbbabaabbbabbabb
+aabbababaabbabbbaaaababbabbbbaaabbaabbbbbaabbaaaaabaaaabbabbbbabbabbbbbaabbbbbbbbaaabbba
+aabbbaaaaaabaaabaaabbaabaaaabbbbbababbbaabaabbbaaaabaabbbaaabbbabbababaaabbbabbbbb
+aabbabaabaabbaaaaaaabbbabaaabaabbabaabaaaaaaabab
+bbbabaabbaba
+baaaaabbbbbabbabbabbabbabbabaaaaabbaabaaabbabaaabbbbabaaabbbbaabbbbaabbbaabaabaabaabaabbabbbbaaabaaaaaaab
+aabaabbbbaababaababaaaaaaababaaabb
+ababababbbaaaabbabbbbababbbbbbbaaaaabbbbbbabbbbaabaaaaabbbaaaabaabbaabaaabbab
+baaababaabaaaaaaaaabbbaaabbbbbbb
+aababbbaaabbbbaabbaaabbaabababaaababbababbaaabbbaabbbbabbbabbbbbbbbbabaabaabbbbaabbbabaaabbbabba
+bababaabaabaabaabbbaaaababbaabbbaabaababababaabaaabaaaaababbbbabbbbbaaaaababbaabbaaabaabbbbababb
+bbabbaaabbbbaabbbababababbbab
+aababbaabaaabbbbaabbbaabaabbbbaaaababbbab
+abbbbbbaabaabbbbabbbbbabbabaaababbbaaabbababbbabbbbbaaabbbbaaaabbaaaabababbaababbbbaabb
+babaaabbaaaaabbabbbbabaaaaaa
+abbbbababbbbaabababaaabbababaabbabaababbaaabbbabababababababbaaabbbabaababbaabbabababbbaaba
+abababbbabbabbababaabbbbbaababbaaaaababbbaaaabbabbabbabababbbbbbaabbabbbabbaababbababaaaaaababaabbaa
+baaabaaaabbbbabbbbbabbaaaaababbababbaabbb
+abbababbbaaabbababbbaa
+bbabbbaaabbbbbbaaabbabaabbbababaabbabaaa
+abababaaabbaabaaaaabbbbababaa
+ababaaabaa
+aabbabababbabbbbbbbbbbaababaababbabbbabbabaababababbb
+bbbbbbbbbb
+aaababbabaabaabababbaaabababbaababbababaaa
+abaaaababbabababbbbabbbbbaaaaabbbababbbbaabababababbbaaaaabbbbbabaabbbbaaabababaabbaaa
+aabbaabbbabbbbabbabaababbababaaabaaaaaabaaabbbbabababbaaaababbbbaaabaaaababa
+bbbabbbbbabbabbababbaabbaaabbbbbaababbbbbbabbaaaababaaababbbbaabbbaa
+bbabbbbbabbbbaaabbbbaaaa
+baaaabaaabbbabbabbbaabbbbbbbbbaabbbabaaabaaabababbabbbaaaabbabbabaababaaaabbaaabbbbaa
+baabbaabababbbaaaababaaaaaababbbaaaabaabaaaaaaabaabbbabbbbab
+babababaaabaabbbabbbbabbbabaababbaaabababbabbbaabaabbababa
+bbababababbbaaabbbbbbbaabbaabaabbbbbbbababbababaaaabbaaabbabbabbabbbbbbbbbbaaaa
+ababbbabbaa
+babababbabbbababaabaabababbbaaabbbabbbabaaabbaabaabbbbbbbabbaababbaabbbbbbbabbbabbbbbabbbabbabaabbababaab
+bababbbbabbbbabba
+aabbababbabbbabbbbbaaaaaaaabbbaaabbababbaabbbbbaaabbab
+baaaaaababbbbaaaaababbbbbaabbaaaabbbabbabaababaaaa
+babbbbabbaababbbbabbaababaababbaaabbabab
+baaababaaaabbabbaaaaabaabbbbbbbbbbaababbaaaabababbbbaaabbbbaaabbaabaabbbaabbbbabaaaaaaaaababaaaa
+aaabbbbaaababb
+baabaabbbabaaaaabbaababaabbbaaaaabbbabbaaaabbbabbaaaabaababbabbabbbaabbabaaaaabaabaabaabaabbbbbabaabba
+bbaabbabbabbababbbabbbbaaabbbaaaaaabaabbbabaabaaaaabaaaaaab
+aaababbaabbbababbbabbbbbbbb
+bbbaaabbabbaababbaabaabaaaabababaaabaabbbaaaabaababbaaaaaaaabbababbababbabaabaabbbab
+aabababbbbbaabbaabaabbbbabaabaaabbbaabaaabbaabaaaaabbbabaaababaaaaabbabbbaabababbaabaaaaabbbbbaabbbbab
+babbbbaaaabaabbabbababababbbaababababbaaababbaababbbbbaabaabbaabbbababbababbabbabaabaaababbaaaabbaab
+abbbababaabaabaaa
+ababbaaabaababababab
+abaaaaabbabbbb
+aaabbaaabbaababaaaaabbabbbaaabaaaaabaabbaaaaabaabaaabbabbb
+bbbbaaabbbbbaaabbbaaabbabbabaabaaaabbbaaabbbbaabbbbababbbaaabbaaabbaaaabaaaaabbaaab
+babbbbabaaabbbbbbbabbbbbabbbaaaabaabbbbababababaa
+aaaaaaabababaaabbbbbbabbbbaaaabbaaababbabbaaabbabababaaabbaababbaaaaabaabaaaa
+babbbabbaabaabbbaabbaaaabaabaabbbbaabbabbbabbaaababbabaabbaaaabaaaabbaa
+bbbbabbbbaabaaabaabaabbbaaaabbab
+bbaaababababaaaaaababbaaaabbaaab
+aaaaaababbbbabaaababbaabaabbabbbaababababbbaabaaaababbbbaabbbababbbaabbaaabbbbbbbbbaaaaabaabbaabbaaaaabaabab
+aabaababbaabbaabbbbbaabbb
+abaaaabaababbbaabaaabaaaabaabbaaababbaabbabbbaaabbababbabbbaabaaabbaaabaabaabbbaba
+abbbbababbabbbbabababbaaaaaabbabaaabbbaab
+aabbababbbaaaabaabbbbbabbbbbbbbabbaabbaaabaaaaababbbbbbabaaabaabaaabb
+aabaabbbbbbbbabbababaabababababaaaabbaba
+ababaababbbbaabaaaaaabbbbbaabbbbbabbaaaaaba
+bbbabbbaabaaabbbabaaabbbbaababbaaabbbbabababaaabbbbaaabbaaaabaabaabbabbabaaa
+bbbabbabbbaaabbaabbbbaabababaabababbaabababbbbba
+bbbaabbbabaaabbabbbababbaab
+aabaabbbbabbbaabababbababaaaabababbababbbaabaaabaaabbbaaaaaaaabababaabaa
+bbaabbababab
+bbabbabbaabbbabbaabbbbaaaabbabbabbabbabaabbbaaababaabaabababbaaaaaaabbbbaabaaabaaaaaaababbaababbaaba
+aaaaabababaaaaabaaaaabbababbbaabaaabaabbaaababaaabbaaaababbaaaababbabb
+aaaabbbababbbaaabaaaabaaaaaaababaabaaaaab
+bbbaabbababaaaabbaabbabbbabaaabbbaaabaaabaaabbbbaaa
+bbaaaaabbababbabbbbaabaabaabbaaaaabaabaabbabaaaabaaaababb
+bbabaaabbbbbbbaabbbbabbababbbbaaabbaabbaaababaaaaabbbabbbaaabbaababababbbabbbbabaabbab
+bbaaaabaabbaaaaabbbaaaaababaaaaaabbabaabaaabababbbbaabbbaaaaaabaabaaa
+baaabaababaaaababbaababbabbaaabbbabbbbbabaabbbabaaaaaaabbbaababbabbaabbbaaaaaabbabbaababaaaabababaabba
+baabbbaabbbbbbaaabbbaabbabbbaaabababaaba
+babbabbaabbbbbabbaaaabbaaabbbabbaababbbaaaaaaaaabbbbaabbabbabbabaabaabbababaaaababbaabbaab
+aabaabbababbaabaabbbbaaaaabaaaaabbbaaaababbabaabaa
+bbaabbbaaabaababbbaaaabaaabbababbbabbabababaabb
+aabaabbaabbbbabbbaaaaaaababaababbbaaabaabbaaa
+aabbabbabaabaababbbababbaabbabbbbbbabbaaabbbaaaaaaabbabbbbababbbbabbabaaaaababbabbabaab
+abaaabaabbaabaabbabbaaababbbabababaaabbaaababbaabaaababbbbaabbaabbaabbbbabbbaaabb
+aaaabaaabbbbbaabab
+bbbabbabbbbbbbbabb
+abaaabbaaabbbaababbababbaababaabaaabaaababaaabaabab
+abbbabbabababbbbabbbbababbbbbbbb
+bbbbaababababbaaaaabbbbbbbaabbbabbbbab
+ababaabbbabaaabbababbabbabaabbababababaabbaabbbbaaabbbabbbba
+bbbababbaabaabbabaabbbbabbbbabbabababbbbbabaabbabababbbbbbabaaaabbabaaabbaaaa
+abbbaababbbabbaaabbaaabbbaaabbbababbababbabbbbbbabbbbaaababbbbaabbbbbbbbbaabbabbababbabaaabbaabbbbababbb
+239 8
+bbabaaaaababaaabaaabaabbbabaaaaaabaabaaaabaabbaaaabbbabaaaabbaaabbaabbbab
+bbbaabaaabaabbbbbabbbabaabaabbaaabbbbbbababbbbbaabbbbaaaaabbababaaabbbaabbbaabbbabbabbbaaaba
+bbbbbabbbbabbaaabaaaababbbbababbaabbaaa
+bbbbabbbaaabaabaaaaababbabbbabbbbaaaabbaaaabbaaabbbbabababbabbabbbabbabbaaabaabbbaaabbab
+aabbaabbabbbbbababbaabbabaababaaababababaaabaabbaabababbababaaaabb
+babbaabaaaabbbababbababaabbaababbaaaaaa
+bbaabbababbabbbaabaaabbbbaababbb
+bbabbaabbbaaabababbbaabbababbbababaaaaaaaabbaba
+aaaababaabaababaabaabbbabbabaabbabaabbbbaabbbbab
+baabbaabbbabababbabaabbbbbababbababbbbaaabbbb
+baabbabaababbbaabbbbbbbbaaababababbbbabaaaaaabaaaabbbbabbabbbaaabbbbaabbaababbbbbababa
+ababbbbbaaabbbbaabbaabaabbbbbaaabaabaabbbbbbbbabaabbabbaabbaababbaaaababbaabb
+babaabbaabbaaaaaabaaaaaababaaaababbbaaabbbabbaaaabaababaaabbabbbbabbababbbbabbabaa
+bbbbbbbaababaa
+baabbaabbaaabbbaabababbbaabaabbabbabaabbabaaaabbbbbbaaaaabaabbbbbabaabbabababbaa
+bbaaabaabbbabbaaaabbbabaabaaaa
+aabbaabbabaabaaaabaaababaabbababaaaabbbbababbaabaa
+baabbabbabbbbababbaabbbaaababbbbabbbabbaabbbaabbbbbabaaababbbbababbaababbbbabbabbbaaababaabbbbbaaabaabbbbba
+aaabbaaabbabbbbabbabbabaabaaaaabbbababbbbbbbbaabbaab
+aabbabbabbbbaaabaabbbbabbabbbaaabaaaaabbbababaaaaabaababbaaaabbabbbbbbbaaabaaabbbaabaaa
+abbabbbaabbbabbbaaaabbabbbbababbbbaabbbbb
+baaaaabbabbababaababbbbaaabbabaabbbbbbbbbbaabaaaaabaaaaaaabbaabaa
+abbbabbbabbabbbbaaaaabbbbbabbaabaabbaaabbaaaabaaabbabbbaabababbaabaaaaaababb
+bbbbaababbbaababbbbaaaabbbbbabbbbabaaabbaaaabbaaaabbaabaaaabaaabbabababababbaaa
+aaabbbaaaabbbaabbbabaaaaabbaabbbbaabbb
+bbbaaabbababbbbbaaabbaabbbabbbbbabbabaabbbbbaabbbbbaaaaabaaabaaabbaabbababbbaabaaabbbbababababbaababaaabaaaa
+bbbbbbaababaababbbbaaabaabaaaaabbaaaaabbbbbabaabaabbbababbbabbabaaaabaabaabbbabbaaababbbbabaaaaaabbaaababbaa
+babaabaaabbaaabbabbbbbabbaabbaaaaba
+bbbabbbaaabababbbaabbbbabbbabaababbaaaabababbabbbabbaabaaaaaaabaaaababababbabbaabaaabaababaa
+aabbbbabbaababababbabaabbab
+aabaabbbbbababaaaaabaaaaaaaaabababaaabbaabbaaaabaabaaaaaaabaaaabba
+bbbaabaaababbbabaaaaabaabaaababbbbbbbbbabbaaababbbabbbbbbbbbbabaaaaaabbabbaabbbbbabbbaaaa
+bbbaababbaaaaabbbabbabbbabbbabbbbabbbaabaaababbbbabbabaaabaaaababaaaaabbbbabaabbbabbbabaabbbba
+abbaabaaaabbaabbbbabaabaabaaa
+baabaababbbbabaaababaabbaaaabbbbabbbbbbbbabbaaabbbaab
+bbaaaaabbbbbbbbaaaabababaababbbbbaaaabbabbbaa
+abbbbbabbaabaaabbaaabbabaabbbbaaaabbaaabaabaaabbabbbaaababbaaaaabbababbbbaaababaaabb
+bbbbbbabaab
+abbbaababaababababaabbbaaaabaabababbbabaabbabbbaabaaaababbbaababbbb
+bbaaabbbababbaabbbabaaababbbabbaaaaaaaabbbbabbbbaaaabaaaaaaabaaababbbbbaabbbbbbbbbaabaaaaabbabaaabababb
+abbaaaaaaaabababbaaaababbaaababbaaaabababababbabaabaaaa
+abbaaabbaabbaabaabbaabaabaabbbbbabbbaabbbbbababbbbabbbaab
+babaaabbbbbbbababa
+aaabbbbaaaabbaaaabbbb
+aaaabbbaabbbbabbaaaabbababaaabbbaaaabaabaababaaaabababbabab
+babbbaaaaaababbaaaaaaaaabbbbbaaaababaababbbbabbaaabbaaaabbababbaaaabaabbaabaababbbbbbabbaabaaaaaabbabaaaba
+baabbabbaaaaabbabbbabbababbaabbbaaaababbbaabbbbbbabaabaaabbbbababbaaabaabaaabbabbabaabbabbababbababbbaba
+abaaaabbaaaabaaababbbbbbbabaabbbbb
+bbabaaaabbbbabaaabaabbabbbaaabababaaaaaaabaabaabbaabbbaabbbbabbbaba
+aababbabaabaaababbbbbabbbbaaabbabaaaaababbaaabaaaabbbaababbaababababaaaaabaaaababbb
+baaaabbabaabaaabaabbaa
+bbaaaaaaabbaabbbbbbaaaaababbaaaababbbbaaaababaaabb
+abbbaaabaabbaaaabbbabbabbaaababaababaaabbbabbbbbbabbbbbbbbaabbaaabbaaaabbbabbbbbbabaaaabbbabaabb
+baababbaaabbabbabbababaabaabbbbbabbabbbbaabaabaabaababbabaaababaaaaba
+baababbbbabbabbbbbaabababaaaabaaaaaaaababaababaabaabbaaabaabbbaba
+abbbbbbbabababaabaaabaabbaaabbaabbbabaababbbaaaababbabbaabababbaabbbbaaabbbaabbbab
+babbaaababbbbaabaaabbbbabaab
+abbabbbaaaaaabbaababbaaababbaaaaabbbabb
+bbaaaaabbbabbabbaaabaaaaabbbbbbbabbbaaa
+aaabbaabaaaaababbbaaaaababbbbbabbbabbaababbaaabbaabbbabaabbabbbababbaabbbbbbbabbaabaaaaaaabaaabaabbaabbbbbbbb
+aaaabaabbbababbbaaaaaabaabaaababbbaaabaabaaaabbaaaabbaababaaba
+ababbbaaaaab
+babbbaabaababbabaaaaaabaaababbbbbaabbbabaabaaabaabbaaaaaaaab
+bbaabbaabbbaabbabaaaaabbbbaabbabbbbbbaabaababaaababbbabbbabbaabbaabbbabbabababbbaaabbaaaaababbaaaaabababb
+babbbaabbabbabaaaaabbbabaaabaabbabbbaabababbbbb
+ababbabbbaabbabaaaabbbaaabbbabbaabbabbabbbbabababababbbbbabbbaabbbbabbabaaba
+abbaabbabbabbbbaabaaaba
+ababaaaababaaabbbabaababbbabaabbaabbabbaaabaaaaabbbbbaababaabbbaaaaaabbbbabbabbbbababbb
+babbbbbabbbbaa
+abbaabbaabababaaaaabababaaaabbaaaaaaabaababbbaabbbbababbbabaabbaabbbaabaabbaaaaaaabbbaaabbbababbabbabbbab
+abbbaaaaaaaabaabbaaaabbbaaaaabbbbabbaababaaabbbbbabbaabaaabbaaaaabbbbbaaaaaabaaaaaaa
+bbbbbababbabaababaaabbbbaaaabaaaababbbbaaaaaaaababbaabaaabaaabbaababbbbabaababbaabaabbbabbaabbba
+abbaabababbabbabbabbaaabaaaababbabbaaaaabbbaaabbbbbaaaabaaabababbbbaaabbbabaababaaaa
+abaaaabbbbaabbababbbbabaaababbbbbabbab
+baaababaabbaabaaaabbaabaaaaaaabaab
+abbbabbbbabaaab
+bbabbbaabaaaabbbaabbaaabaabbabababbaabaabaaabbbaaabbbabbaaabaabaaaababb
+abababaabaaaabbbbb
+bbbabaabaaaaabbbba
+bbbaaaaabaaaabaaaabbbaaaaaabbaabaaaaabaabbabbbababababbbbba
+bbaaaaaaabbbbabbabbbaaaababbaabbbbbaabababbabaabbbabaabaaabaabbbbababbbaababaab
+bbbaabaababbaaabababaabbbababaabbbbbababaaaababbbabbbabbaababbbabbabaabaaababaaabbabaabababb
+aabaababbbbaabaaaabaabbaabbababaaabbaaab
+aaabbbbbbbaabaabaabbbabbabababbbbbaaaababaaaabaaabbaaabababaaaaabbaaaaabaabbabbbabbbabaabaabbabbb
+aabbabaabbbaaaaabbaabbbabbbabbbaaabaaabaababababaaabbbbabbbbaaba
+bbbaaababbbabaabaaababaabaaababbbbbababaababbabbbabbabbabaabaabbbabbbaaabbababa
+baaaaababbaaaabbbbaaabbababbbbbbbaaaabaaabbbaabbabbabbaabbbabbbbaabababaababbabaaabaababbbabbbaababbbaa
+baababababbbabababbaaaabbbabaaabbbaabaabbbaaabababbabaababa
+abbaaabaab
+aabbbaaabaaabbbbabbaaaaaaaaabaabbaa
+abaaaaaaaabaaaaaaaabbbaaabaaabbaaabaaabbaaabababaabaaabbab
+baabbaaaababbaba
+aaaabbbaaaaaaaaababaabbabaabbabbaabbbb
+bbbaaababaabbaaaaabbbbbbabbbbabbbaabbbbaaababbaaaabaaaaaabaaaaa
+bababbaababbbaabbaababbbbabbaabaaaabbbaababbaababababbbabbbaba
+aabbbaabbbbaaaaaabbabaabbbbbabb
+aabbaaabababaabbabbbbaaabbaaaabaabaaaaabababbbabbaaabbbbbbaabbbbabbaabbabaabbbbbbbbaaaabbbabaaaabbbabbbbaab
+abaabaababbbbbabaababbabababbbaaabbaabbbbaabbbbbbbababbaba
+aabbbababababbabbaabababababababababaabbabbbabbbbaaababaabbaabbbabbaaabbbaaaaaabbbbbbabbaaa
+babaabbabbaabbbabbababababaababaabbabaab
+babaabaaaaabbbabbbaabaabaabbaaaa
+aaabaabbabaaabbabaaabaaabaabababbabbabbabbbaaaabaabaabbbbbaabaabbbaababbbabbbabababbaa
+abbabaabbbaaaababaaabbbbbbbaabaabbaababaabaaabaaaaabbabaaabbaabaabaabbaaabaabaaababbaa
+bbbbbbbbaaabbabbabaaabaaaaaaabbbbabbbaaaaba
+babaababbbbbbaaaaaaabaababaababbbaabbaabbaababbababab
+aaababbabbbbbbaababbbaaabbabbabbbababbbbbbbbbbbaaaaababaaaabaaabaabbbbbbaabaaabb
+abbaabbbabaaaaaaaabbbbaababaabaababbaabbaaaabbabbbbbbaaabbaababbbbbbbab
+aaabbbbbbababbbbbabbbbbaaaaaabbbaabbaaaaaaaababaabbbbabababbabaabaababbabaaabaabbbbabbbaa
+abbaaaabbaabbbaaaaaaababbaabaabbabababababaaaababababbbaabbabbabbbaaaabbbaababaabbbab
+baabbabababbaaabbaabbaaababbbbababbabbbababbaaabbabaabbbbbbbbaaabbbbbbbbabaaaabbbabbbbaaaaaabbbababaa
+abaaabbababbbababababbbbaabbaababbabaaaabbabbaaabbbbbbaba
+aabbabaabaaaaaabababbaaabbbaabbbababbbaaaaaabbabababaabbbabbbbabbbabbabaababbaaabaabbbbabbbbbbabb
+abbbabbaabababbbaaaaababbbbbaabbaaaaabbabaaaabbabbbaaababbbbabbababaaaabaaabaaaba
+abaaaaaabaabbaaaabbabababbbbaabababbbaabaaabbbaabbabbaba
+bbabababaabbaaababaabb
+aabababaabbaaababaabbbabaababaaaaabbabbaaaaababbbbbbaa
+bbbabbaaabbbabbaaabbabbbbaabababaaabaababaaaaababbabbaabaababbbbbbaabaabbaaaabbaaaabaabaaaa
+baaabbbbaabaaaaababbaabaaababaabbaaababbaaaaaabbbbbbbbaababaabaaaababaaabbabaabbbbabbbabbbbabab
+bbbbbaababaaaabbabbbbb
+aaaabbbaaaaabbbabaaababbbabbabbabbbaaabbbbbbbbbbabbbabbababbaababbaaaaaabababbababbaabbbbbabbbbabaabbbababbaa
+bbabbaababbabbaaaaaa
+bbbabbbbabbbbabbaabaaaabaaaaababbaaababaab
+babababbaaabaabbbaabababb
+abbbbbbbabaababababaaaabbbabaaaaabba
+aaaaabababbabaab
+baaabbbbaabbabaabaaabbaaaababaaabb
+aabbaaaabaabaabbbbabaabaaabbbaaabbbabaabbbaaabbbabbbaabaabbabaaababbaaaaaabaabbbbaaabaabbbaabbaaabb
+bbaabbbbaabbabababaabbbbbabaaaabababbabbbbb
+aabbbbaabaabbaababba
+babbaabaaaababaabbbbaabbaaabbbabbabaabbaabbbaaabaaababaabbabaabababaabaaabababaabbaabbabbaababababaabbbaaaaaa
+babaaaababbbb
+baabbaaabaaabaaabaaaabbaaaabaabbbabbbbbbaaabaababbaabbbbbabbabaaaabbbbabbaaaabaabababbaabbaabbabbbaaaabbababa
+babbababbbbabbabaabbbbaaaabaabaaabbbaabbbab
+aababababbabaaaaaaaabbababaabaaaabababbbabbbbbbbaaaabbaabaaaabb
+baabbbbaabababaaababaaaaabaabbbaabbaabbbababbbabaa
+babaabbbaabbbaababababbababbbbababaa
+abbabbaaababbbaaababaaaaabbaabbbbbbabbaabbaaaabaabbbbabbbaaaaabbababbabbaaa
+bbbabaaaabaaaababbbbbbbbabbbabbabbabbbbbaaaaabaaabaaaabaaabbababbbbaabbbabaabaaa
+bbabaababababbaaaababbbaaababbbbbbbaaabaababababbabaabbabababaabaaaababbbababaabaaabaaaababaaabbbbabbaabbab
+baaababaaabbbbbabbaabbababbbababbabbbbbbbaababbababbaaaabbbaaaaabbbaaabbbbbbaabbabaabaabbbabbaabaaaaaa
+abbbaabbaabbbabbbaabababbbbabbbbbbaabbbbbabbbbababbbbbbbbabaaaabaabbbababaabaabbbabaabaabaabbaa
+abbababbbbababbbaabbaaaaabababbbbbaaaaaba
+babaaaabbabababaabbbbbabababbbaabbaabbbabaabaaaabbbababbbbbbabababbaabbbabbbbaababba
+aaaaabbabbbaaabababbbabbbbabbaababbaabbbabaaababbbbbababaaaaabaaabbbbaaaaaabbba
+bbababaaaaabbbabaaabbaabbaaabbaabaaaabbbabbaaabbbaababaaaaaabababbbbbbabbaabab
+aaaaaabaabbbabbbbbbabbbbaabbbba
+baaabaaaabbabbbbbbbabbbbaaabbbababaabababaaabbabbabbabbbabbaaaaababbbababbbbbabaaabb
+baabbbbaabbababbaabaaababaabaaaabbbaabbbbaabbaaaabaabababbabaaabbaaaaaaabbbababaaaaabaabaabbbbabbaaaaaaabaaa
+ababaaaababbababbbbbaaaabbbaaabaabaaaaabbbabbaaaababaabbbbababaababaaabbaaababbbaabbaa
+babbbaababbabaabbaabbabbbbbaaabbaaaaabbbabbbbabbbaa
+bbbaaaabaabbbababbaababaaaaabbbbbbababaaabbbabbbabaaababbbbaaaabbbaabbbaabbaabbbabbaabbababbbababaabbabababab
+aaabbbaabaabbbbaaaaaaaabaabababbbaabaaabbbbaaaabbababbbaabaabbaaabbbbbaababbbaaaaabaab
+bbabababbaabbbbaaaaaabababaababbbbaababaababaaaabbbababbbabaababbabaabbabbbaababbbaba
+ababbbaaaa
+aabbbbbbbaabbbbababaaaaabababbbbaaabaaabbbbaabbbbaabbabaaab
+abbbbbbaaaaabbbaabbaab
+bbbaaabaabababaaaaabababbaaaabbaaabbababababbbaaaaaaabbaaabaaabaabbaaabaaaabbbbbb
+bbbaabbbbaabaabbbbaaaabbbaaaaaaabaaaababbbbaababbaa
+abbaaaababbaaabbabababbbaabbababbaabbbbbbaabba
+aabbbabaabbaabbbab
+aaaaaaaaabbabaabaababaaaababaabaabbaabaaababbbaba
+bbbaabbaabbaabaaababbababbbabbbabaabbabababbaaaabbbbbaaabbabbbbaaababbabbaaaabb
+babbaabbaabaaaababbabbbabbababbbbbbbabaabaaabbabaabaaabaababbaaaaa
+baaaaabaabababaa
+baabababaababaaababbbbbaabaabbaaaababbbbbaabbababaabbbaabbababbaaabaaabaabbaababaaaaaaaaaaaa
+abaabbaabbaaaaaabbbababbaaababaabbbabbbaaababaaaaabaababbabbabbbbabbb
+bababbaabaaabaabb
+babaabbaaabababbabababbabaaaabaabbbbbaaabaabaabbbabaabbbabaabbbbaabba
+bbaabaaaaaaabbbbbababbaaabaabaabababbb
+babaabbaaabaaaabababaaaaabaaaabbbabbabbababba
+babbaabbabaaaaabbabaaabaabbababbaababababaaaaabbaababbbbbbaababbababbabbabaabbabaabaaaaab
+abbabaaaabaaabaabbaaabbbbb
+babbababbaabaababbbaaababaaaaaabbbbbbabbabbabbaaababbaaaaababbabbabbbabaabaab
+bababbbbaababbbaabbbbbabababaaaaaabbabaabaabaabbaaabaabbbaaabbbbbabbabababaabaaaabbaabaaaabaaabbbbab
+baabbaababbbbbbaabaabbaabbaaaaaaabaababbbbbbaababa
+ababbababbbaababbbaaaaaaaabaabbbbbababbaabaabbaabbabbaaaabaa
+abababaaaaaa
+abaabaabbaabaaaababbababbbaaaabababaabaabbbbbaaaaabaaabaabababaaabbaaaaaba
+baaaaaaabbbbbbaababaaaababaabbbbbbaabaaaaaabbbaaababaaababaaaaaa
+aabbabbbaaaabababbababbbabbaababbbababbbaaabababbbaaaabbaaaaabaaaaabaabaaabababbbababbaaababbbbaaaa
+aaaabbbaaaaababa
+abbbaabbbbbbbbabaababbbababbabababbabbaabbbbaabbbabbbbabbaaabbbbbbabbaabbabaaabbbaababbbaabababbabbbbbabbb
+aababaabaabbabaabaaaabab
+babbabbaaaabbaaaaabbbbbbabbaabbbaabbabbbabaababbbabbaababaaabbbaaaab
+aaaaabaaba
+aaababaaabaaabababaaabbbaabbabbbbabbabaaababaabbabababaaaaaaaababaaaabaaaababaabbaaababbbbbbbabbb
+bbbbbaaabbaababaaabbaaabbabbabbabbbbabbbaabbbbabababaaaaababbbbaababaabbbbabbbaaaababaabbbbabbbbababbababbbba
+babbbbaabaaaabbbaabaaabaabbbabbaaabbbaabbbabbabbbbaababaaaabababaababaaaaaaaaabaaaabbabbbbabbbb
+abaabaabbbbbaababbbbabbbaabababbaabbbaaaababaaabbbbabbbbbbbaaaaaaaaabbabaabababbababbabaaaaaaabaabaa
+ababbaabababbbbbabababaabaaabbabaabbbabaababbaaabbbbbbbbaaaaababaabbaabaabbbaaababaaabbbaaababba
+abbbabaaaaababaabaabbabbbbaaaababababaaab
+bbbbabbbbbbaaaa
+aabaaaaabaabbbababbbaabbaaabaaabbbabbbbabbbbbbbbaa
+abbbbbbaaaabbababbbabbababaaabbbabbbbbbabbaaaabbaab
+abaaababaaabaaababaaabbabbbaaabaabbabababbbaaabbaabababaaabaaabbaaabbbbbbbbaaaaabaaaababbaaaabbabbbbaababaa
+bbbbabaabbabbbababbbababbaaaaabbabbaa
+aabaabbabbbababbabaaabba
+aaaaabaaabbb
+aabaaabaababbbaabbbbaabbaababbaababaababaababbaaababbaaabbbaaabaababbbaaaaabbabbaaababaaabbaaabbba
+abaababbaaaabbaaababbb
+baabbaababbbaaabbaabababababaabaabbbaabbbaaabbabaaab
+abbbbbababbbbaabaaaaabaabaaabbabbbbbbbaabbbbaabbabaaaaabbbbababababbabaabbabaaabbaabba
+bbababaabbbbbaba
+aabbaabbbabbbaabaaababbabbaabababbbaaaaababbbaabbbaaabaaababbbab
+bbaabababbabaababab
+aabbaaaabbbabbbbba
+abababaabbbb
+bbaaaaaaaaabaabbabbabbbaa
+bbaababbaabbaaaababbabbababbaaaba
+babaabbaababaabbabaababbabaababba
+aaababababababaababbbabbababbaabbaaabbababbabbaaabbaaaabbbbabababbbaaabbba
+babaabbaababbabababbababbbbababaaaab
+aaaabbbaaaababbabbaabbbabaabbaababbbbaabaaabbabbabaaababaaaababbbbaababb
+abaabbbbbbbbaabbbbaaababaabbaabaaabbbbabbabbbaaaaaabbabbbbbaabbbbaabbabaaaaaaabaabbabaabbbbabbbbaaba
+abbabbabbabbaababaaaaabbbabbabaaaababaabbbbbbbababbabaabbaababbbaabbaabaabaabbabaaabbbaaaa
+abababbaaababaabababbbbabbbbbbbabaabaaaababbbbaaabaaabbabaaabaaabaabaabbaba
+aabaabbbabbabab
+aababaabbbababbbbbaabaabaabbbbbaaaaaaabbbaabbabbbbbbbbabaaabbabbbabbabbaababab
+bbbbaabaabbaaabababaabbaaababbaaa
+babaaabbbbabaaabababbbaababaabababbababababaababbabaabaabbaaabaaabbbbbaababaabbbbabbbabaabbbaabbabaa
+aababbbaaabbbababaaaabaabbbbabbaaaabaaabbaabbbaaaaabbbbabbbabaaabbabbbabbaabbabbbabaaaaabbbabbb
+baabbabbbbabbababbbb
+bbbaabbbbbabababbabaaaaaabaabbabbbbbbbbbabbbbbabbbabaaaaaabaaaaabbbabaabaabbbaaaaaabbbaaabbababbaababbaababb
+baabbabbabbabbbbbaabbbbabbabaaaabababbabbaabaabaaaaabbbbbabbbabbababaaaabbbaaababbabaabababbaabbbaba
+babbaabbababbaabbbbaaaaaaaaabbaabbbaaaababbaabbbbbaaabb
+aabaaaabbbaaabaaaabbbbaaabbaaabbabbbbbaaabbbbaababbaabababaaaaabbbabaababaaaabaababaab
+abbbaaababaaabababb
+abbaabaaaaabbaabbabaabbbbbbbbaaaabaabaaababaaabaaaaaaaaaabaabbababbabbbbaaabbaababaabaab
+aababbabbaaa
+babbaaabbbaaaaabaa
+abaabababaabbaabbaaaaaabaabbbababbbaaabbaaaabbbaaababaaaabbabbabaabbbaaaaabbbaabbbaaaaaaba
+bbbaabaaaabaabbbbaaaa
+aaababaaaaaab
+aaabbbaabaababbaaabbaabaabba
+aaaaabababbaaabaaababbbbbaaabbabbaaaabbbbabaabbabbabaabbaababaaaaabaabaabbb
+bbbbaababaaaaaababababbabaaaabbbaababbabaabbabbbb
+aaaaabbaaaaabbbbabbbaaabaabaabbbbbabbabaabababbaaabbababbbabaabbbab
+aaaabaabbaaaba
+bbbbbabbabbbababbbabbabbaaabaaababbabbaa
+57 14
+ccbcbacacaaacbbacccaacabbbacbcbbacbbbbbaacccbc
+baaccacabbccaacccbcbabcbcbbbaaabacba
+baacacbabaccbbacacbcbaccaaaabbbabbbacccaaaacccacbc
+bcbabaaabccbcaabbccccabcb
+bbbabccccabcabcbacaacababcaabbacbabb
+bbbccbacabbbbaaaabbcaabaabbccbccccccbcacbcaaaabccacccccbbccaccaaaabccacabbabbcaaacccbaabab
+accabbbbaaccacbcaacacaabcbccacbbaabc
+baaccbcbcabcacbaaaccbbcccabbbbabaacbaacbccbbacccababacbbcccccbaabbccaccaaaaacaabcbbbccaaaca
+acabbcccabbbbbbcbabaaababccccaabcbaabccbbabaacccbababacbcccbabbbabcbbaccccaccbbcabbabaab
+bccbbbccabbcaababaaaababacbaaaaacaabcaccbbccbbcacabbbacbccaaaaaaacbcbabbbaaaba
+cbaaacaccbabbcbaaccaababcbcccacabcaacababbaabcbbbcbcbcaccbcaaccacabbaccbcacccccabbbcbba
+aabbaabbacbabbaccbbbaaabbcacbababacbcbbbcc
+bcabcbbcbcbaabccccacaabccaaccaaabaacabbbcbaabbbbcaabbaaaacccc
+aaababacccababbacbaacbcbbcacaab
+acbacacabaaacbbaabcbbacaacaccaacbbbababccccaaaaabacacbcabbaccaaabcbcabbcbcbcaacaaacabcabbbcbb
+cbbaaabcbcacbaabaaaaababcabacaabbccabcccbbcbcbbaccbaaacccacbbbaabbbcbbbcacbccccaabcbacccbcabccbabcacaacbbaacb
+bbbaccaaca
+abbcccbcaccbbcbbcaaaacccaccc
+bcbaaabcccbcccaccbcbccaccbaaacbabbbaccaabbaacacaaccbaaaacaabcaccacbaccaacccacbbacccc
+ababbbbabcbbacccbbcabbbccabbcacabcabaacbcaccbaaacaaabbcbbcbcbaabcabcaccaccbcccacbaababaaacbcbbcba
+abaacacbbbcbbbccbcaaaacabbcbababccaaccabcaaccaaabbaabab
+baacbbababaabbcbacbbbcbcbcbbcccbabcbabbcccbbbacabbcaaaabbaaabcbbaaabbabbaaaa
+cbbabcbbcacbacbbcccbcbbbccaaabcbaaabbbabaaccabbaccaaabcbaacaabccccaabbacbbaabbcaacacbcacbbc
+bcccbbbccacccaaaaacbbcccbcbccccbbcbbbbbcbbcbccbcbabaabbbbccbb
+abaccbcccbcacacbcbcbbaaabcbccbbcacbaabcbaaccaaacbaabbbcbabcbbaccbbbbacccbacbabccaabaaccbabcaabbbbabccbccccbbc
+caccbcbbbaaabcbabccbcccbacaaaacbaccbcbcccbcbccacbaacbcabcbbacbabaababccc
+abaabbaccabacbbcabcbccacaaaaaaaccbabbcbcabbbacacabbcbaabcaa
+ccacbbbababbbbcabacbbacabaccacb
+baaababbbabbbcacabcbbbbccbcbbbcccaababcbacbcabcaabbabaabcaacaacbcabbaccbbaababccccbbccbccbbccbbbbcbcbcbba
+abaaaacccabcbacaccbcccccbacba
+acaabaacaccabcbaacaabbcabbbcaabacbaccccbacaabcccbcbbbaccca
+cabbcbbabcabbbbccacabbabbaaabccabbabacaabcbacaccbcaabbbccbaabcbababacbcabaabbbabcabaabaabbbcabcbaaaaaaccb
+aacbbaabcbcaaccbbccccccabbcacbcaaccabbcbacbbbacbbabcacaacbccbaccca
+aacccccbbcaaacbacccbaababccbabacbabcccbbabccbcabbcac
+acaaabcbabccccc
+cacaccacacabbacbaaaccaaccaabbcccbbcccaccabcaaaabcbaabbabbbacbbabcccccaaaabccccc
+abcccacabababbb
+cabbbcbbbcacccbbcacaccabbbcbaabcbabababbcbacccbccacaacacbacba
+babbbcaccbcaccaabbaabbbabcbcabacacabaabbaccbcbcbaacbbacabbacbcbabbbbbccabccacbaaaa
+cababacabccccbcbcaacabaacbbbcaccaaaaabaababaaabbbababbbccccbacabaabc
+acbaabbccabbabbabaacbaaccbaacccccabaacbacbabccaccaaaaacbaabbabcacbbcbbccbaaaccbcbcc
+cbacabbabcbbcbbcabbcaaaccabbaaaabacabcccaabcbbccacbcbbcbcaacabcac
+bcbacbbcbcccbbacaacab
+accccaccbabcb
+abcbcbbacccaccbbcabacaccbaabcbbaabcabccaacaabbcccbacabbcaabbabaaabcbacac
+abacccabacbabccaaababcabacaaaabcccaa
+cbbbcbabbcbcccc
+bcbbbbbbacacacbccbbacabacabbcacacccbbabccccbbaabaabbbbccbaba
+cacabcacaabbbbbacacababcbababcabbbaaaabcaacbbbbabbbbbcaacaccbbaaccabbbbcababcbbaaaacbbccbbbacacaab
+bbcccbcacabbaaacaacbbbabccccbbabcbccaaaacbcaccccbbabbbbcbcbacaacaacccabbb
+bccacbbcbaccacacccccabcbcbcbcbcaaabbacacaacbaababacbabbaaacacaccaaacaa
+aabaabccabbabccbbccbcaaaaccbaccaaaacbbccacccacaabaabcccaacbcabaac
+aabacccaccbbccbabcbabbbbccabcccaccaabacababbbbcabbbcccccaaacabcabbacbccacbcabbacbb
+bbabcbccbccaccbccccaaabcbabcbcbbbaacbcbaabcaccbcbaaccbccbaaababcbccbbccabbbbcca
+babacbbbccbacabbabbaccca
+baccbcabaaccbabaabaabacbbcbcbbccbaccbbacccacacbaaaabbcaaaccaccbacbacbbabaaabcbabbacbcbab
+acaccbccccbcabacacbbacacccbabccbccacacbaaabccbccbcabccb
+230 17
+cbbbaccacbbcabbacbaccbbcbbcbccccaaccbababbaccccbaccabcbabbcccbbacbccbcaccccbbcbabcaaaccbacccbbcbbaccabab
+cbacaaaababbabacccbaaccaabccbbccb
+abcbaaaabbccacbacbcccaabb
+ccbbbcccbcabaacccaabcbbcccbbb
+ccccacbbbcaaccbcbbabccabbaabcccaaabaacaabccbcccbbccbbaaaabccbcbcaacbbbcccccbcaacbaccac
+bccbabcbcbcaaacaacbabccbbbacbabcccbacaabaaacbbcbbaaacabcccbbabbbbabcacacbac
+cbacccabbaaacbacbbbbbabcaaaacababaaaaaaaa
+bbbbcbaacbabaacbbabbcabcaaccbccaaaacabbcaccbbaaaabacabccacccacccaabbcaababbb
+baccbbcacaabcabcccbbcbababbccccacbbbabcaacacaaaacbabbbccccabc
+cccbcacbccbbcbccaaabaacbbb
+cbcccaccaababbaaccaabbaabcacbcbbaaaaaaaabccbbabbaababccaababcaacbbbacbcaaab
+acbaccbcbaccaabbccaccccabcbbaabacbbbbbaaacbcaabcbcbcacbcaaacbbbabc
+cbbcaaababccbacccbbacccbcbaaaabcbbcbbabababcabbcaabbacabcaaccccbaaccbabbbbbbb
+acaacbcccbcbcababacaacccabaccaabcbbbbcacaacbccabab
+acbaacbcaacbccbbbcbcccbacacaacacbbaabbbccabaaccccccbaacaabaac
+bbccacbcbcabbbbcababbccbcacbcccac
+abcababbacbabbabababaabbbcbbbcbcacaccabbaaacacaabcacbbccbccbaabaaaabaaabaccbcbbbbaabcbcacb
+ccabcaabaaaaabcbabcacacabbbacbcccac
+acbccacccbcacccacabcbaccacbcbccbcbabbbabcbcbabccbaaaabbbbcbabaaabacaacaaacc
+bbcbcbababcccccabcaccacccaccabbcbccaacbcbabaacbaccabccbabbbccaaacccbb
+ccbabcccacbbbccbccccbaaccacbabbbacaabcbccacbaccaabacbbccbacbbcaaacbacaaaaaabaab
+bbabccccabbaaacacbaccaacccbbbcacbcaacbbaaaabbccacbccacbbbcccbbcccacbbbbcbbbccaabccacababcccacaabbc
+aabacbcacaababbcbcabbabcbabbaccbccbccabbaabababbaaaaabcbccacccaabbabcbcaccbaaaaccacaccaccaabb
+cababcaacabbacbbbbaaacbaabbcbabaaabbbbbb
+cbbaacabaccaabbaaccbabcbaaccabcbcccbcbabacccbabbcbaabacacabaa
+acbbbaabbbcbb
+bbbcbcaacaacacbbbccaabccbbbbccccaabacabaabbaccaaccabcbbc
+aabcaccccbcacaabccbaaacabcbbabbcccccabacacbaacbcbcabbbbcbac
+accbcbacbccbcacbcbcbcabaaccbacababaababababaaaaacacbbbcaccacbabacaacaaaaaabaaccaaabcccbc
+ccaaabbbcaccaabbcbabaabcabcbabbabacacccaccabcbccbbccacbbbabbbccbaabbacbaaccbbaacccbacbb
+aabbabbacbbcaccaccaccacabbacccacccacccaaacabbbaabacccabcacccb
+aaccbbcacbcbacbcbcaacbbbaabccbabababbcaaacbbcbcabbbcabbccabacaacbbbabacabcaccbccaacb
+ccaaabbcbcccbbaaacaabcccbcaabcbaccaaabccbcccccaacbcbba
+cbacbbbbbaababbbcabcabcabccbacccbaabccccaccbbcaccbcacbbcbaccaacacbbcbbaabcccbbabbbacbacacacabcbaccccbbcabc
+cabccaaaabcccbcacacccaabaca
+ababbaabcbabccacbbccabcabcbcbacababaacbbababccabbcabcabbcaabbacaccacabbbcaccbbaabcacbbcccaabbab
+cccaacabbabbabacaabcbaacbabcbbcaabcaacbccbcacaabbacacccbaabcabbacabbbaaaccbbaaaaabcbaaaabacccbbcbabaaabaab
+acaacbbbabacaabbccbccccacacbacaabccababcabaccbbbbaaccbbabacbacccbbabcaabbccabcaacb
+bccaabcaacbabacabbaacccaaacccbabaabbbbcabccacbbcbcbcbbaac
+cabbcbbccabccbbcabcaabacbcbbcbaaaccacaaccbbbbbcabcaacccbccc
+cacbbcababaccacaaaaaaaccbabbaabcbabaabaacabcacbabcaabaaacbaacaaaaccca
+aaaccaaaccbcccbabaabbbaaaaabaacbacaaccccacccaababacabcccbaaaaccccbbaabbcbbbcabbbacbbc
+cbbbbabbabbbbabbccbaccaaacbcbbbacacaaaaabbcaabcaaccccbacaacacbcabbcc
+babaaaabcaabcbbbcacccacacbcbbcbbbacccaccaabcaacc
+ccbabacbbabbbabaccabcccabbbcaccabaccaccbccccbbaaca
+ccacaaacacbacacbabbabcbbacaccbbbcbaabaaaccaabccbabccccabcabbbbccbbbccabaccccbbabbccabbab
+bbaabacabccaccbacacbbbbbcbbcbabbaacccbaabccaccaababcabbabbbcbb
+abccbbaabacababbacaacbabbbcababacaaaccbabcbabcc
+acbbcaabaccaccccbccccbaaabcaacacccccccbbcabccbaabbbcabcbabbacaaacc
+cccaacacccbbcbbabacbcabacbaacbcbbbacaaabacbcbaabcbaabbaacbcaabbbbcbbcbcaaacabbbabacbabcabaca
+bcbababcbccbcccabcccabaabacabcaacccabbcaababccbbbabb
+bcbcbabbacbccabaccbaabccbacbbcabaccbacaabacbccbaaabccacbcbaaaacbcccbabccaaccaabaaacccbacbbbaccbcccaccbba
+accaaaacbcba
+ccccacabacbbbcbccacbbcbacbbcacbbbaacbcaaccbbacbcaabaaccacccbccbccbaccaa
+ccbbacccbcccbbbaababaaaabbabbcacabcbabbbcabbbabcabcbabccccccbcbcaaccb
+cbacacbbbcbbabccbbcccbbcbacbcabcaaccaabbbbbbbacbccacbbbbaaabbabaaccbacaaacaaacbabacbbcbba
+cbabaaaaacbababcbabbbcbbabcbabacaacbbbaacccaabbbbbccbabcccaaab
+bbcbccbbccabacbabacbcbccccacccaaabbacbbbcccbbbbabcaabccaaccacabbbcabcccbaabbbc
+babcbcacbcacabbacccbbbabbbcaccacbaaabcbbabacbabcabccaccacabacbaacabcbcbcaaa
+cabcbaccaccacaacabcaacccbcabcacabaccbabbcacb
+baaaaccbacaccbacbcbcbcbbaccbabccabcbccbbbaabacabccacbcbaacccababab
+cabcbcccbacccbaaacbcbababbcbcacabbabbbabacabbbcb
+aaaaacccbcbaccababcccbccaacacbccaacacacabcbbbba
+cabbccabacaccbccbcacababcbacbcaaccbcaaabaaccabcccaaaabbacabaaaccaacabbcaaacbcacabababbacbbccabbbba
+bababcaabbabbbaaccbccccbccbbbcccc
+baaaccbbacbabacbbcabcbaccacacbbbacaabbbbabbcacccbaabaaabcbabcbcabbcccbccaaacbcccccabcbacbaccaaacac
+acbbbcaabacccbacaccbc
+bbaabbbaccba
+cccacbcaaabcbaaacbaaabacabccbaccaabacacaa
+acabbacccac
+acccacbbcabcaacacbbcacccacabacbcbcbbbabbccbaaccbabbccaabbbcaacbbab
+cacccabbcaaccaaccccbabcac
+aacabbacbccbbabcabcbbacaccaaabca
+accabcbcbcaacaccacbbbbbcaacaaabbbbbbbaabacaacabbcccabbbcbacbacababbababc
+cbcccbbbbbcacbaacaababbbccacacccbacaaacaaaaacbbccbbcc
+bacabaabcccabbbabcbabccbcccacacaccabaaaabaccbbbabaaccbacbccacbcbabacacaaaba
+bbbbcabcccbbbbbbbcccbbbaaababc
+acaacabcbbbcaccbbacbbabaaaacabbbcacccbbbcbbcaccbabaabbacaacccabcbbcaacabcbcc
+ccaccaaccacccaaccaabbcacaaccbbbccacabccccacbabbcbcacabccacccaccbbcaacaacaccabbcacbbbcbabcaacbbababababaccaab
+baaaabbbabbabbabcaaabbccccccabccbaabcbaaccaccacabcabcbbcbbcaababbcabbbbcbcaac
+cbacbccaaaaabcbbbcabacccabaaacacbbbccaccbaaacaccccccbccccacccca
+aaccbcabcbcbccabccacbbbccaccacccbabcccbacbaabcccbcabaaccababaaacabacacacbccacaaaacbba
+bacbcacacbaabbccccabccbcaccbcacbbcbabbccbcbaccbbccbbcbccccacbabbacacbccabccccab
+cbaacccabbbacaaabbcccbacb
+bcabaaaccbbaccccccbbbbcaaabbbbcacabaaaaabbaccaccccabbcbabaababaabaacacaccbbcccaaccca
+baababbbacbcbbcccacbbbacccacbbc
+bacbbbcbbbaaacccacbabacaacbbaacbbbcacbbcacbabbbaacbabbaabcaaaabcbbbabcabcbcbb
+baabacbcbacbbbcbaaccbabbbcabbccacaaccaaabcabbabbcabbbbaacaacaacacbaabbcbacbbccbbaacabcbabcbababcaaacbaccbaab
+aacabbccccbaabcb
+aabbcabccbacccbacaacababacccaabccabbbbaccaacacaaacacbaccabbbccbbbbccababccccbbcccaaabbcacccaacbaa
+babbcacacbbaaabbaacbcaacacbbabbbccaccbcabbaabbbccaaacabaabababbaccccacbabaaccab
+bacabacbacbbabacaaaccbc
+bacbccccbcc
+cacbbacaaa
+cbbaabcbcccbccbbbccaabcbaaaccaabaacbccacccbaccbabbbbbbbcccacbabbcbaaccaacabccabbabcabcbcaabcc
+bbcaacbaacacccacaaacbccbacabcbabb
+aaccccabccabaacccabaccaacbbacaccbcabcbbacccbbccbbcc
+ccbaacacbcbbccacacbaaabaabaacbacbcaabccacabcbcc
+cbcacabaacbacbabcabaaaaacbccbacbcbcccccacbaccbabbcbabacaaccbacaccbc
+abbaacccabcbbcabacacaccbabcabcaabbaabaac
+aaabaacbccccbccaacccacbcaccb
+ccbaacbabcbaaabcacaccaabcbabaaccbabcacccabbbbabacaccbcbccaccaca
+acbacaccaaccbcbbbabaaaaabacaabcaabbacbbbcabacaaacbccbbccbcbcaaaaacabaacbacbbccababbaacbacccbacabccaaac
+cccbaaaaccacabcacaacbbbbbbbacbbbbcaaaabbaabcbcbababcbccbacabacbccccbbcacabcab
+abcccaaccacaabcaaaabbc
+babababbaabcacbcbcbbbbcbbcaaabbbbaacbbbcacbcbaaccacccbacbbacabbaabcaccbcabbaaababaacaabbc
+abaccbcabccacaaaababbcaacaacaaabcabbcbabcaacca
+aacbbccaabcbccbbbabaaaacccaaacbaaabbbbccabbccbbcbbaaaaabccbbaabacccbcabbcabacaaba
+cacbabbacbccbbbbbccbaabbcacabaababbccbbabbcabbbcbbbcccacbbcaabbaaabcbaabcbababcbb
+ccbcccacacabaaacbccbaabaabcaacabaabbbbabbcacbcbcaaaaabccbaaacaacabbbccccaccbabaabbbccbaaccababacabcab
+bcbacbbcaaabbabccaccccbababcccaaabcacababcbccacccaaacaaaabcacaacbbccbbccab
+bcbaabcbbaacbabaaaaaccaccbbabcbaaaccabaabbcabababaacacbacccbabbbabbaccacbacbcabbbcc
+abccccccbcbcccbccabc
+aaabbbbbbaccc
+aaabcaaacbbccbabbaaccbcbbcabbba
+bbabcabbbbcacbacccacabaacacccaabacaaabbcacbabccbaacbcabbbcaabbaccbcacaabbccbabcbbacacbbaaaaccbabbaca
+abbccbacccaaabbacbbacccabcbcaabcccbcbcbacababccbbbbabacaabbbbabbcbbaaacccababbabcabbc
+abbaacbacbaabcaacbcbaaacbccbcbcbacacacaaacaabcaaaaabbcbbcccacbcccabcbacbbccaa
+aacaaacbbbbaccccaaaaaabccaacbcbcaacabcbcbbccbccaabacaccacbcabaacaaaabacbccbacaabacbbcacabaacacababbccbcabcb
+bccbaccabcacbbcaabcaccabbbbcacbbbcacbcabccbbbccaac
+cbcaaabacaccacaacbabcacbcccabcbbaccbaaccaabbaccaabb
+abccabbbccbbbaaaabaaaba
+abcbcbabaabbcabaacaaaabaacaaabbb
+caccbbbbbca
+cabaabbaaccccacbabccacaaaacbbbccbb
+ccccabcbacbbcaacbbbbabbbbacbb
+cbbababbacacbcccbbabcacccabacacaaaccac
+bccaabbabbcbaccaaaa
+aaccccbbaaaaabacacab
+acabcaababacacacbbbccccbbcbbbabbcacca
+aabcaaabcbccbcbcabbaaccbbbbcbbaaabccacbcaaabababaabaaaaccbaacbbcc
+cbaccabcbbbccbbcbbbaaaabcababbabb
+caabaabcbbcbababacaaaccacabacbbbcabbccccaaacacccacbbbccacbacaacbcbcaaaaabbbb
+ccacabbbacaacabbbccbcbbcaaaaaabacccacccacbbcaabacacaaabbcababbbbcaaacbcacacabacccaacbbbaccbabcabab
+bacaccabacabbcababbabbccbbacbacbcabbbaaababbbaccabacaacac
+acbabbcbbcaacbcbaccaacacab
+cbbabcbaaccacabbbbcaabbbcbabcacaccccbbbaaabcccacbcacaababccacccbcabbbabbcbbaa
+ccaabaacbbbaacaabacbccbaaaabacbbccccbccaabaccccbbbccbcacbaacbcbccaacc
+babbcbcccaaaaacccabaabcaacbaabcbccabcbbccababcccccaccccbabbbbaabccbb
+bbbaacbbcbaaa
+ccbcbcbccabbaaababcabcacaccbbbabbbcacabcbbacbaabaabaaccbcacbbabbccbbba
+ccaaabbccacaabbbccaacabacbbccbabccabaaaababbbabbccbbacaa
+aabbacaccbcccbcbcbcbccbbacbcbbabbbbbcacbab
+ccabccabbbcabaaaccacaacbbbabcccaacbcbbbaabcbcbabaccbacabbbacbaac
+accabbaaacacaacbacbbabcccbabcbccbbbaabaacbbbbbbbbabccbaaaaccacccaaabaaabbbbabcabbabbaacccbacbabccbba
+bccabbccbbaccabc
+bcccaaacaacbccaaacabbcacbcccbacbbaccbcbcabcccbcaabbbbccaacbaccbaabbbbccacabaabacbcacbcccbcacbc
+acccabbacbbccbcbabbaaaacbaabcbcbabaccaabbcccbaabbbbaabbabbabccccabcababcccbbaabcccbcbacbaaccacbcaaccbbc
+abcacabcaccbbbabccab
+aacacccbabbaacacbacbcaacbbabbbbbaabaabbbcccbabccbacaccaacacbbcacbbaaacababccbacacccbaccbcacaaababbccaabaca
+ababcacaccabbcaabacbccabcbbcccacccaabbbccbcaaacc
+cabbbcacbccbbcbccbabcbbcbbcbcaabacbbbbcbacacabccbcbbaaabaabcbccacbaccaacabaccaccaabaaaaaabaacbbcbaccb
+acbaaccabcbbcbaaabaccbbaccbbabaccaccabbcaaaa
+cbababacabcbaabcccaacca
+acccbcbaabaabccac
+abcbbaaaacbcbabbabaaabcaacbbbbabacacbabccbbcbbcbcabbcbabcabbbcbbccbccbcbcacaacbacabbcbbbbaacbabccbaaa
+bbcaacbccbbcaabbaaacccacbbbbcababbabcacaaccbbbbbacacbcabaacacbbbbabbbbcaaabaabbcccabbaaa
+bbcabcbabcccaccaccbbcbabacbcccaacbbaabbacbcaabaacaacbcacbacbbaacaccbbcaaaac
+caabccccbacbbcacacacbacbccbbcaaccabbbbabbabababababaacbacacabcaabcbaacc
+bbbcccbcaaabccbccaacaccbcbacbaabbaacaabaacbbbabaccbbcabaacbabacbaabcc
+abcabcbaacbabcc
+ccbbabcabcaaccbabbabcbaabb
+bbaccacacbbcbccbbcaabaccbbaccccacaa
+bcbbbbbcacccacbccccbaaacbcbccbcaaaabcbcacc
+cccabcacabaacacaabbaabcabbbbcbabcbabccaabbcabbcabaabacacccbbccabcacbabbaa
+cbcaacccabbbccbbabccaaacccbbcbbbcaacccbacbccbbbaccbaacbabccbbcccaccaaaaabbbcbaabaccababcbbbcaacaaccbaaccbb
+abaabbacacca
+cccbaaaaacacacaccabaccbabbbabcabc
+cbcabcbaabacbcbacaaccccaabbbccbbbaccaaabbccabcbcccacbcbbcaabbaababcacbacaabcbc
+cccbaccbbbbbcaacacabcccbccbcbbbcabacccaccacbcaaccbaabcccc
+aababababacaabbbccabccbcbacaccaaacaaacbacbaacbabcaabbbccaacbcaabbbabbccababacccabacbbbabbbcbbcccaacbcabc
+acbcaabbbabcbabbabcaabccbbbbaabacababcabcacbacbaacbbacaccaacacacbaccaaabbabcbbcacc
+bbcabcccababcaaaccaaacbbbccbbbbcbabcbbbcccbbabcbbabcbabbbaababbabcbcacbbbbbcbcbaabbbabcacbbcbbbbbba
+acabcbbbabbcbbabcbccbacabacccbbbaaabbcaaaabcbccbcbcbbbcaabbcbacacaaccbaabbbcbbcbcbbbcaaacbaaaabcacaab
+acbacbcaacccaccbaaccacbacccbacbaacacaacc
+acbacccbabaaacbbcbccbbcababcabcbbccaaaacbabcaaccababcaaccaacb
+bbaacabaaaaccbabaccbaabcabbaacbcbcabaccabaabbbaacbcabaaacababbccacacbabacbccbbaacaab
+bcbababbcabcaacccbccaacacabcbcbcbaaaaacacbaaabcaca
+cbcaacbcabaabbabbbabbaccbbccbabcbcbcabccbcbccbaaacaaccbbbabbcabcbbbabcacaabbbabacbbaacbcbacbc
+abcaaaabbbaaaacaacbbaabbcccccbbacccbbcbbbaaabbacbacbcaabbbbcccbacbbcbccbaababaabcbbccc
+aabcbbcbacabcbcbaaab
+bccbbbbcbbaababbabcbccabccabcacbabccbaaaacacbcabaacaaaccbcbacbaccacbbcccbacbbbacbbbaacbccbcbbbbccaca
+abbbbaabcccaaacbcccacaabbc
+aabccbabcaaccbbcbacacbacbabbaabccabcbbccccaacbacccababcc
+bacbcacbbbcbaaccaccbaabbacbbacbaccbbbabcbabccabababaaabcaabcbbaabccaaacabbbccbaabcccbac
+baabbcbbcccccccbabcb
+aacacbcaabacacccacbcbaccababaacbcbcbcaaacbbababcbbaabccbcaabacacaaacacac
+caaccbaccaccbcbbabaacaacc
+ccbbabbaacbabaacacabcbacaaabbaaaacaaabcaaabbacccaacabcaacbbbccaabbbccbcccaaacbb
+bbcaabaacbcbcbaabcbabccbcbcbabccbcabaacaaacacbaabbbbcaacbbcccbccbbacabcabcbbaacbcbbb
+baaccccabaaacbacabaaaccbaccbcbccbcbbaccaacbcabcabcabc
+caaabbcabcbcbbacccbacacbcaaccaacababacccacacacabaababbaabcbaccaccccbccccacb
+cbacababccabacabcbcaacaabacccbbabcccabbcbcaacccaabccbcbabbcbcabacbcba
+bacbbcbabacccbbccacbbacacbccc
+bbabcbabcabbcbcababbbbbbbbbcbbaaccbbbbcbbbccbbbcccbaccccccaacaacacbcbcaaabaccbccb
+aacbccbccbbbbbcbbaaaaacbaacbacbcacbbccacbcabcacaacacbabbbbccacbbbbcbbabaa
+bbbbbbbcabbbaaccacccabbcbaabbcbbcbbccbaacababbbabaacccbaccbabbccccbbbcbaaaabbbac
+cbbcbaaccaacabbcacbccabacbacabccbbbb
+cbbcaaaacbbbaabacccbcacaabbca
+babacbaaabcacacaaccabcbbcbabcccacacaababaaacccbcbcabbcbaabbcbbcbcbcccabcabcac
+caaaaaabbaccbbccbbacaabbbcabbbcbbbaacbbbbabcaacabababaacacbbcaccccbcbcc
+bbbaabcbcaaacccabaccbabacbbaacbcbcababcacbcaaacbbacbbcaaccabbaacacababbabbacacbcaabcca
+caacccccbaaabbcacbabbbaccaaaaaaacbccaabbbb
+cacbacbbbbbabaabcbcccbbcccbcaacbbcababcaccaabb
+cbcbbacbacaaabbcbccbcaabaacbcccccbbabcacaacacbacbaacca
+acacaaacaaaccacccabcabbaaababaabacaacbabbcabbcbbcbccbcababbabbccbccbcbaccbccaaca
+accacacbaabcccbaaabacacabaacbbccb
+aaacaababcabccaaacbbbcaaaabcaccbbcbbbbabaabcbbcbccabc
+ccbcbcabbcaaacbbabcccbbbbccbaaabbcaaabccbccaabcaacacaaaccaabbbccccac
+bbcacbabaabb
+aaacbcbcabaccccbccccaabbbbaaaaacbaaaaabacbbcabab
+babbcacacaccccbbaabcbcbcaabcbbbccaacacabcaaabbbbaccabcbbbbaabbbaabbcabcbbabaacaaa
+bbccaaacacaabcaaa
+bbccacacbababbaaabbacbbccbbbccabaccaaaacaacaabbbaaababaacccababbcaaccbbbacbbbaacccaccbabacabbbcbb
+bbabbbabccbcbcbaccbccbcbbbabaacbacccaaccbcaabccbacaacababbabbcbbbaaaabbbbbbaaacaabcbcccbabcaabbbcc
+bccacbcccbccbaacacbaacccacbacbccabaccabbbbbcccbbbccacabacabcbaacbcbccbcbbbbbbbccbaccbacbcaaabbbcccb
+abbaaabbbbbaabcabbbcbc
+abcababacbccccacccbcababaaabacbaaccaccbaacacabaacbcccccaaccaacbbbbaccbbabbacacaaabcbbcac
+cccbccacbbbcbbcbacabcacbacbaacbaaaababbcaaaccbbabbbcaabaaaaaaabcacaccccaabcbaaaaccabbccbbacabcbbacca
+abcabcbcaaaaccccacabaaacbabbccabbbbbbabbcbbaaccc
+baabaababbacbbcaacabbcccacabcaababbbcaababbccabaacacabbacacbabbacaabbcbbbcacccbabbbccbbcbbbacbbcbcbacaa
+ccaabbbcbcaa
+bcbbcbacbbabbbaacaaaaaaa
+abbabbaabaccacbcabbbccacaaababbaabbababaaaccbbccacaccabbcbcbcaaabccaacabbaccabb
+cacabbcaabcbbbbaccaabcccccbbcaaccbabacbabbcbabbaaaabbccbabbbaaaccbbbcaabcccbcabbacabbabababacbcac
+bacbabcbcbcccccacaccccacbcbbbccaabccaabacccabbabcaaccbcccbcaacbccaaababcaaabbbbbaccbb
+abcbbacbaaaacaabcccbcbbbaabaabb
+cbcacaababcab
+ccbabbbbcaaccbabcbbaaaccacaaaaaaaccbbbcccabbcabbcabaabcabacccaababbbccabccbabaccaaaccbababcb
+cbbaaaababacaaacacabbcabbcccaabcabbcbbbcaacbccacacbaaaabaaabbbbbccbabccbcacb
+160 93
+bcabddcbbccdbcccadccdaacdbdbbc
+abdcaaaabaddddcdaadcbdbaaacaaccaadccadcacdddacadddaddbdcadbddaabadbbdcaccadacbbcbddadddbbdcddbb
+ccbadadcdaaadcddcbbaadcdcaaccdbccdbbcabdbabccaddccddadabadacdacbadabccabbdbcbaadddcadcad
+cabcbbdaaaddccbabdcaacdcbadcbdcdaadacbbbbbdcbabcadabd
+baaaacbcbddbbdccbdbabacbbaacabdadbbacadddbdcbaddddcdcccdcaada
+ccbcddadddabcacdddcababadccaddcdbbabacabdcbcdbbddccdabcddaadaaddcbccaacccacabdbaacaaacbbbdddddbb
+addbbcabbbdbbbdcdaaddccddcaccaadbbacbcdbdabacdcbddbbccaadacbbacbadd
+dbabaabbbbbcdadadbbcdcbcdcdccabbcbbadddddaaaacdcadcccaaacbcbccbdbbdbdadccddcbbaddcd
+abcaaabcbdbcddbadbdbbadcabccbbbadadcadacdddbac
+abdcabddcbbdcbcbcc
+bcadbaaaccaccbdcadcbbacbdacccdcccbdccdbcdcbaaacbbdbadccbbdddd
+aacdacbbbadacaaabcaacadcaacbaabbbdccdcaabdcdbadbcaaaddbddcdaabdbdbab
+bbdcdcdcccbcbbbddbabbbbdcbbdbbbdccdaabccdbdabdccdbaacdbbdccccabaacabddbbabacdbacdcbabacadaddbadbacacadadcba
+acaccdaabcadcccdbadacdbabbcabbadbbdbabb
+bbbdadadcacacdabdadcaaabdaaaad
+ddccbaacaccbdbbcdccdcacdaddcdcaacbdbcbcbaba
+dcdcdddccccbbadbaddacbddadcccaccda
+bbaaacddbbdbbaaabadcadcabccacdbbacabacccbdcabbadcbdbccabdbbddacbdbdacccdbaadbb
+bcdcddbbdbdaddaaacbacbdabbadbabcabccabaadcdaaacacaacbaacaacbbdbcdaddcddddbad
+accdabaabbcbcadaaaabbcddbaabdaacdcdcadbbacbdcdccbbacccbaadcdc
+bcbbabcbbddbcbdddadcbbcbbbcdaddaaacbaabadddacbdaabdcaaccbcdcbbadddaabddbdbaba
+bacbdbacdbadbbdaadbaacbccadbcabcabd
+aabdcdccbdabbcbdacaccabcdbcacabbcddaadadcadcbb
+bcbadaaadbbaccccadabcbdbbdaabaaaadadaababdabbccdcadcdaadbdcdcbacdacdbd
+cbbadadabbcacbdabaaacccdaccccccacdcdddddccaaddcdabbcccbddcdddacdbdcaacdcbaabaaadacbbaadccadcc
+dcccbcabacadabcbcbacabaddbadaaabcdaddbbdcbddabbcbdaadbccaccdbcbccdcdcaabaadadacad
+dcabaadcacbaaaabca
+cdccbbdcacabbdbabcbbdaddcadabdbabdadbbbbbbabbdcadddcccbadaabdcaadccaacbbbaacacbbddadacdcdaabbaadbcdd
+dcdbbbbbacabbdabbbaacdcbdbbbdbcdcacacbabbdcacbdcbccddaababcadcaddbbcccddbcabcbbaabcaccdbcdccddbc
+dbbbbdcdaddcdddaabccbdbccdcbdbcac
+dbcadaaacaaccdcababddbdbdbcaccddccabbacbccadbcbbdcdacaaabbbcacdadbccccddbbbcbacacdabdaccaaacadb
+abbabdbaccccbdbb
+cbabdbcddcbaabaadadcddcbdddaadbbabbcbadccccbacbdcacdbcdbcddbabbcbcabdbdbbcccbdadddbccaaaaacabddcccd
+acbbcaaccbabaacacdbaaadbbcbbdabcdacddbbcbcacadabdbcdadaccaaab
+bccbcddbbaaddcbbdadadccaddbccadcacccdacdbdaccabdbcabddbcaadcdcbacdbcaaccadbcdaaddacdcbdccabaddbdbcda
+bcdaabbcbbddddcaadcdcdbccaccccbabdaddaababdbbacbadcdcabcbdadbdacaadcccbbbdabddcaddacdcbcbcdaaccacac
+ccdadcbcaacbd
+bcadccbccdacbccbbbbadadbcaabbacdacbbdda
+adccdbbadcadcdacbcbacccdccaaabaccccdbbaa
+cdccaaabbbcdcdbbbaacbcacbdaabccaaccaaadacccaadddccdaadaaaaadbbcaacdacdbabadadadaabcad
+cbcddcdccbbdabacddadbcabdcdddcddddcbcdacbdcccdbdccabbcbbdbbddaacbdbbbbbbabacbdacdbbacacddcdaacdaaaddbbccbac
+cdbacbabaacdbaadddbddcacacaaacbdcdbaaaccdcdcccdbbbdacaccdaaadcbbbbaaccbacaccdcccddbdcccaaca
+dadbabbbbcadadabbdbbdca
+daccaacbbbbdbccdcadbcaaabaabcaadbbdcdccabaabadaccaabccbacbadbadbdbbdbccbbbbbcadacbdbbbdddcd
+dbabbabaacbdaccaabdcbbacaabcdbcacadbdadccdbdabaabbddadacacbddcdddcdaaac
+bbabbbbaaccdbbcacdbabddddbbcbaddcacabadddccdadbbadbdacadbbccadcccaadabbdd
+cacababbcbabcbdababaabdadcddacbcdbcdcbbdbbabaaaccbcbabcbadaccc
+abbcdcbbccccacbbdb
+dadacdbccbcbdbdacbddcbdbdbccadadcacbbaacbbdbbdcbc
+aadbbdbdbdbddaabdbbdcabdadbdacbcdbacbaacbbaccaadcb
+abbcaabccbbdcdabccbaaddbccabacbcadabdcbaaa
+cdcdbabccdbbbcadcabccacdaddcbccddcddadacdab
+adabdaddabd
+acbddcdcccdcccdcababccbdbbdaddcaacadadddc
+dbdcdcbccdadbdaabbdcbcccccbbacabbacdaabdcdbadacaccabaabacbaacbdbacbdcbdacbbbddacacbabaad
+bdbdddabcbdbadcdabdbaccccbdddabbcdcaddccbbdddddcaaacbccbdbcba
+bdaadbccbcccdbcccadaaaadbacddbcbd
+bbadcdaccadbbbdaacdabcbbbacdbabbbdabaabaddbcaaccbdcccbdbadbbaccdadbdcbddbadadbdb
+baadcbdbabacbdccccabdddbcabccaacbbacdcbccacdcabadcbadba
+cacccdaaacddbbadbbcdccccddcbbcddb
+dddddbccadcadccabcba
+aaacdabacaabbabcadddcdacaaacbabddaccdcaacabacddddcdcadcccdb
+adccbbabbdbccadcbbc
+dbbbdcabbbcccabbabaaaadddbbccbaacccbbadadcdbbbbadbcbadadbcbbcdcaaabdadcdbbadcbababcccdabbc
+cbabbcbaddcdbadababdcbcaabaadadcadaddcabbbdadbacabacacabacadbdabba
+dabcdbdacabcbdcbadccdbcdbabdbdccdaaacdddcbccacbaadadbccdbcddabddaddcbddaaabcaccdbdbbbccaccbcdbacddc
+cabaccbdbbccaabbcadddbdccbbbcdcacababaccdbcacabbbaaaacbcbaacdcbaaacacadccbdbcdddddabcdaccbabcbacdbaba
+bcbdacccabdbbccccabbddabddabadadbadadadaacdccbadbdabdcdbdbbccd
+dcccdcdbaabaadccbadabccccaadaab
+cbcdbdacdbbaabdaddbdbdcadbbdcdbbaaaaacaacccbcbaacdbabcadd
+babbbbcccbcdaddaccbbddbdadddccdbcbcbbacabddadcdcbdbcccdca
+dbaacdbadddccdcadabbaabaaaadbbcdbdaadaadcbcadadddcb
+cbdccddcbdbccababdcdcddcadbabacadbaabbcac
+cdbcdaacbdacbcaaadaaaccddcadaccbccbdacaccdacacbbccda
+bccddacadaaaadabdbbadadcdbbacabaddabddbdbadddaddccadbdddaadbbbbaccaabbaaa
+cdaabcbbcaadbaadcdcdadbbcbcbdbbabaddbaaaccadddadddcdb
+dbcacbbddbaca
+cdbcdbcdcdccbaaddbacbdadacbbabaadddbaccadddbcca
+cdcaccbcbbbccddacbbdccccdcbabbccacdccabdcbadcbadaccbaddacbbbabdcadcabbcacbcd
+cadbcdbbcaadccdcbdcbdbdccabacbdcbabacaaaadcacabbddbbdddcdaadbcabbabcbbaacdcbccdbcbacdccbdbdacdc
+bbcdccbabcaaaddbbbabdabaabaaadabcbcacdadacadbbaddbdacaccbadbddddcbbdccadabccddabbcaaabbdcaaaccacdacbcbcbbccad
+ccadbacdbdcabcbbbacbdacccbbbaaddbbacaccabaaacbabcadcdddcddcccaddbdaccad
+dcaadabdaadacdbbdbbdacadbdacbbdaabdcaaabbdbddddbcdcdabbadcdaabaccabbdbcbbbabcaabcbddbdddcacddaaaacaddca
+aabcddacccadaacbbbbbcaadacaddaaaacadbadbcbdccdccaddcacabdccbcdbcadbadccbdbadbaddddaa
+dccdabbdacdcbcddbccdbbddbcddaccacbbccbbbadcccaacdbacdbdabcabbbbaadbacdcbcabcdcacdbbabcacccbadadbadbcabab
+ddddcbbcaddbadacdacadccadcbbabcdcbcabdabbbbbbccacdddaabdbaccdbbbcccdbccbbcddccdaacdbaccbbddcdabbdbcbacccaacb
+bdbaccabadbacdabdcacaadaaababbacdddaabcbcacbaddbbdadacbaddaaaabbabcddccaabdccdcabaabacddddcdbbc
+ddbcbbaadcabbccacab
+cbbadaabbccabaadbbccbacacdbabacdacdabbacccaccaddcbdbcbdabcccabacaccbaaabccdabbddbdbdbabcbaab
+ddacdcdaabacaccbaddd
+cabbdccbcdcddbadabbccacabdbdcbacddbccbdbaddbadaaacbabdaddbbcbab
+ddbbcabaddcadcccbaacbcbdbbbaaddaacdbdacbbdbbadadcdd
+bbbbddbdccbbdccbcbbdcbacadbccbbbbccccbadabb
+cbadadabaadddacdcdcaddbdbddccbbdbadbacabddcadda
+addddadcaaccddcbcabcacbabcabdccaddccdaddbbddadabacaaacdacaccabddcccccbbbdbdcdbbadadbabdbaaaddbacdccaa
+cadcbdbabbccbbabdccccbaacdabacaabcadcadcdccbdbbabdddbbbcbbcccbdaccaddcdaccbdbdbddcbca
+cbbbccccabbbabadbddcacccbabbcccaddcccdababcac
+dabdbdaddcabddaabdaaabdadaacdaababdbadbabacadcdabcbaccdbcbbcacadcdbbbdbabacdbacdcbdbdda
+aaabcbbdadbcbaadcdccbbcccabbbbabbdcdcccdcdbcbcadaabbbcbdbacbdbacdbdccdaabdbdabacabdbcacaabccddda
+ccadcbdacbbcdcabbadccabacdcbdcacddd
+acabccbbaacad
+badacbadbcbbdabcdadaaccacdcabcd
+ddcdbccaabbbbcccacdbbbadabddcaabbbddbcdccdacbcbbdbcbbccbddbbccc
+bddbacbdacacdda
+ddcbbbcdaacccbacdbdcadccddbdbbbcdccddb
+acdbaaacabbbbaccacdbbdbd
+cbccaaadcdcdadbddddbbddbcdabbbbdbaccbacddcaccbbbaccccaacdddacdbddabcdaadddcbadcaacabcbaaacdcdac
+cadddbcdddcbabddcacccddaaabcaaaabdcbddbdcbcbbabbdacccbccdaddbcbcbddbdbdddbcbcdaaacdcbddbcbbabccccddabbdcaccdc
+abccaacddddacdcbccabdbbcdabcdbdacabadbccddacdcaaadccabbddccdbbacbcbad
+dcccddbacdbcabccccddcccacbdcbcadcabadcacbddcdcccbdbccddcbbd
+cddadcdbdacaadbccababbcacdcadcbdbadccaccdadccbacbbcbaccaadabdddaadabdbbabcddbbddbcbbbbd
+bdaadabaabbbbdabcccdbbcaaaadbacbabcaabdbbdccbccbddbbcabbccdabbcdcadadcbdbcddcadbac
+bdbdbbcbdccbaabacadacaccbdbbbcadbadbcadcdcddabddcccbbddb
+cbabcaaaddbccabdbaaadbcabcbacaaabaccaccdcdcdacbbaacdacbcbcbcbb
+baccbdcddac
+aaaaddcddabbaabbcbcccaacbabdbabacbcdbccccccdc
+aaacbdbdcccdabdcdbccaaccdabaacaaddcca
+babbaddaaddbcdadabadbccddcbbddaabdbcdcbccbbddacccbcccababacadaddadbcaaaaa
+bcbcacdaaabbbbbdddbccacaacddadcbddbcaadccbdcbccaadcbbbbbbaccac
+acbccbadbccaacabdcdbaddadcbbdadaaabdaaccbabccccaaccdaacab
+abaadaadaadacccdaada
+aabadababcbcb
+ccbadaaabcddbcdbcbdcccdabadcaadabaddbbbbcccddadacdbaabdaadcdc
+dadccccdbbdabaacbcadbbdcdabbbcdbaddcaaccacbcdacddaaddcbdaabdbcdbacdcbbbcccbbbcbdbccabbdaa
+badddadccbacaaccddbbccbacacdbccacccacbdbccbaacabddbbacabbdddccaddddadcaad
+ccbbbdcacdabadacdbbccaabdbcabddccdbdbaaccddaabbcbdbaadbddabda
+baddabddddcdbcbdadccddaabbaaabcaddcbbcacbdcddbaabc
+addccddaacbcadabdaccdbbababcdbbdccacdcacaaacbac
+dbdcaabbcdaddbbbacdbcdcb
+cdbbccbdbcaadddbbadcadbacbccccccdabddddbadbcc
+adcbcaaaadbbbbdbdaacbcbcbabdacbcacdadbcdddaa
+baddacabccbbccabbccdddbbabbcabadacacdbc
+bcbaddaddbab
+dbdbdcbdaabacbcbdacdcddcbddadacdcdcb
+abbcbddabdbdbdaaacacadbbaabccacdddacacca
+cbdadcdbbadbabdbacacacdbbabcdcdcaacaddaabaddbadcbdacdbd
+cccbaaaabdbabb
+babaadbccccaadaccdbabadccbdaadacaaddbbbcdbcaacabadaabaccadabdbabbddbbbcaacdacdbbccdcbcabddacdbaabbbacbdd
+dadcaaadcbbcbdadbbccbccaadcddadcdbbdacdcbcbcdcdbbdcbbcbcaaddaacadccadaaccdcabdbdabcbaacacac
+caaccddcdaddbcccdcc
+cacbdbbaacbdbbdccddbdccbdabcdbdacdbbcadabacacbabdcddbbdbaccbbccdcdddabcaabddacabaa
+bbcbacdcaaacaabbdabcccdcbaacccbab
+bbcaddccbaddaadcdaccaabcbdbdaadaddbbbaccaaacaaabbccdbbcccacbacabbbccbcdbabaaabdbbacdcdbcadddbccaccbdbdabdddb
+cbdaacdadcaccddbddccaadacccaccdddcdddacabcaccaaaddbadaadbaacbbbddcadcdaabdbbcaddabdcc
+bcabdddabbacddcacdcccccacaabbddcddcbccdcdbdcbddddcbaccddacdaaabccdababddbdacabcbdaccbba
+baaabdbabdcdcddbbcbdbaadcccaabcbaccbbcbabdbcacacbcadacdaaacabbbbaaccabbabbddcbdddadbcaaacddadbbcdbb
+ddcacbccadbcbdcdccaadaacdddcdccbdadccdcdddcabdbcbbbbbdcbbcbca
+accbababddacdacdccdcdbccbcdacabaadcddbbccbbcacdacdcdbbaaccbdbdcdbcbccccdcbadcacabaddadcaddada
+addabcdaadbbdaabdccbcabaddbababbdadcbddbadcadddcababadbadcbbdadcacdccacaaaaacccabddaccdbdbaddaccdab
+baaccddcbccdccaabbbabcbcddbacabcdbdabdacbdcadaabcaabcbabbddbdbbadacccdcacccbcbaccdcccacdadbbcba
+ccadadcbcbbbbdaacacddcdcdbbaacd
+acdbcbadaacdacdcdbdd
+ddcdcadcaddcaaadbbcadcacbaccbccadabdaabbdaadadbdadacadbcdbababaaaddbddaccadcbdbad
+bdacabbcccbaabbdcddbdddaadbdbbacadbaaaaccbbaaabadccbdbbdcbdadd
+daaddaababbdcbdb
+cdbacbacdbcddd
+dbaccadbccacdabbbacbabacbaddaddbaddbbdaccdabcccdbccbcdabbddaadbabcbbdbddddbbbcdcabababbdbcbad
+accdaabcddacddddbdddbbbcacdbbadcdaccbdbcbdaabaabcbcbcddabdaaaabbdaddbbcdccaccda
+ccaddbaacbcdaacbdadcabdcdbabdaadacdcdcbdb
+bccdaccdcaccccbcbbcbacbbbdbdddaaaccccbbaca
+286 1
+caabbcacacbbbcb
+bcacacaccbcaacaabaaabcabccccbaaacabccbac
+bcabacbaacbaca
+abcbccbacaaaabcababbcabaacbaabbaabacbccaacbccabacc
+bcbaaabbcabaabaacac
+bbccbaabbaaaabc
+ccacaacbbbbbbacabaacbcacaaaabcabcacabcabacccaacbcbbccaccc
+abaaababccbcaacabbacbba
+cbcbbbaacabbbaabaccabcccbcbabccabaababbcccbbacbaabcbbacabbaabb
+caabcabccaaaaacabcbccaacaabacaabaacccbccabcaacaababcbbacbaccbaacbccabbabbcaacabcccbccbabc
+bbcaaccacbbcccbbcbccacaccabbbbccbbcabcbcbacbcbacacccbaabbbcabaababbcc
+bbbcaccbbbcbbbcacbbaabccccacbbbb
+cabbbacaccacbcbabcacabaacabaaca
+abccacacccaccbcbbcbcbacacbbcabcabcacbabbaacacbbaccbaaab
+baaaccacbbbaccccaaabaabbabbabccbbaacacaaacacccaabacabbaccb
+bcabaabbabbcabaccacbabccba
+cbaaaacbcbbaacbbcaaabaccbcaabcaabaabaccaaacabcbaabcaaaacaacbaacabaccabbaacbbaccabbbaacbbbcacbcaaacab
+bcacaaaacaabaaccabcbbacbcbcbcabccbabbcabbaabcacccabbbabbaaccbbcabacbaccccac
+bbcabacccaccbbcababcbbbcccbbcbbaccacbccccabacaabcbbbacaaaaaaabccbacbbbbbcccbbbbaaccbbbacbcbaccbcbcabbcabccc
+ccacccabbcaacacaaaaccbcccabbabbcbcaabaaaaacbabbcbcbcabcbbcbabbbaaababbcbbbccbccbbcaaccc
+ccacbcccbbbcbabcbccabbbaacacaacaabbacbbccaacabbacabbbaccaccccabcabaccbacaabbccccaaabbbac
+bacacaaacbaaaacbaacbababcbcbccccacbccabbcacbcccccbbacba
+bccbcacacccaaaccaaaaaabcaacbbbbcacbacbcbcabbbbcabacabcabbbbabaacccbbbbccbbbbacabcbaabaccbcabbaabacbc
+bbbbcbbbbacbcacbaaacacacbbaacaaabb
+bbbbabccbaccbbbaaabcbbacaaabbbcbbbabbcaacaaca
+abababacbacbcbccaccbabbbccbbacaaabccbbbcbaaaaabcaacacccabccabbbbabbacbabcbbacacbcbabcabacabbabccaaacabb
+bbccbcaabcbcccaabbcccccabcbbcbcbcacacaabaacbacbbaacbabacbcaaccbcabaacacaacaabcaaaacabacbbbb
+ccaabcbacbaacccababbaabbcccaaaacb
+acacacccccbaaacaaabccaacbcbcbcbbbcacbaabccbbcbb
+bcbabbacbaccba
+aaacabaccacabcabcaabbbbabcaababacabcbaccbaaaabcc
+acaabcbabbcabaaacabaccbbcbbaaccbaabbabbabbcaccbbaaabbcaacc
+cbacbabccabbcaacbcaaabbbabaaabbcacbabbaacbaabbccaccaccccabbbcaacbcccaacacaacbaaaccacaaacccaabababbbabac
+bbcacbccbbacbcbccacbabcccbabcbcabccabbcbbaabacbbccbbbaabbcac
+cbcbcbaccbabaabbbaabbccabccbabccabbbaacbcabbbabacabcbcaaccbbbcaabbbcbcacbbaccaacabb
+acaaabbaaababbabbabbcbcacccacccbcbaaacbacacbcccacbaacaacbabbccbcabcacccacaaabcbcbbcbbaaaabaccbbab
+bbbaababbacbacaacabaacabbbacacacbabbabcccbcababcbbbcaacaacaaababcbabbbbaaacccabccbcbbcbbaaccabcccabaabaaabbac
+cbaabccaccaa
+ccaabbacbbaaacaacaaaccabbaaacabbaaacaaaacbbbaccbbaaaabbbabbccbaccbcbcabababaaacccbcb
+cccabbabbaaacbcaaaccbccaacaabbbacacbcaabaabacbcaabccaaccacaaabcabcacbcccbbcccb
+bbccaabccaaccc
+cbcaccbacbcbabaaaaaacbaccaaccaaccbc
+bbacbabcbabbbcbcbccbacbcacaacccabbbbcbcabaaabbaacacbccaccaccaccbcbcabacbab
+cabcbaaaabaacbaabacaacaaccccbbbbbabaaabbaacbbabbbccabacabcccccabcbabcabbaccabbcc
+bacbacbccbbabbaccbcbbccbccbccaaacccbbcb
+ccabcaacccaabcacaacaabbaababcaaaabbcbbbcacbabaccccabbcbabcacbabcaababababacbcbba
+cbccbbaaccabbabaabcaaaababcbcaaaccbacbcaabbaccacbbcbababaccccccc
+cbbbabbbaacbbabaaabaccbbbaababacacabcaabccacaababaaacaacacccbbcacbabccbabccccaccabbaabaccbabcacbcbbbaccacb
+abbacaccbacbaccabc
+bbcacccabcbacabaacabbaabcbcbababacbcabcbbcaacbaaacbabcaabbcaacaaacbacbaac
+caaaabcccaababbbabbccbbabacababbaaacabacaaccaccbccbcaaaccabbbbbabbcaacaaaccbbaac
+bcbacccbbccaaccbabcabaabbcbcbcaacaacacbbbbbbbabcccbbbbcccabccacaacabaabaccccaabaaacccaabacaccb
+acacaccbbcacccc
+cabbcbcaabaababababababbbcccbbbcccbacaabcabcacbbcaaaccbbbbabba
+abbcaacaabaabacbaabbccaa
+aabbcabacacbabbcaacabbccccabaccbbbabbcabacabababbaccbbccbabca
+acaacabcabbaccbcabcccbbcbaacbaaabbaacbcacababcbcbcbccabcacabbacabbababbabccba
+bacbcaaaaaacaccbcbacbacbacacbcabaabcbbabbcaccccbccacbbcbaccaacbaaabcabbbabacbbcaababcbacbacbcabcbbc
+accbbabcaaccbcbabacbbaabbaaacabacbacacbcccacabbbabacaaabaaabbabaabccabcbcbab
+bbabaccccbbcaaabbaacababcccbcacbcaaaaabcbb
+bbabbbaccababcbcacbcbccbaabaacbbccaabbabbacbcabaccbcbccbbabbcacbbaaaaacbaacbabcaccc
+acccaaacabaabaabacbbaacccaacbbabbaccbcc
+bacaccbaaccbbbccabbcbbbaaabbbabbcbcbaaccacbcccabccaacbbccbcacbacbacabcbabcabbccccbcaaaaccbbcaabbaaacba
+bcbbcccccccccbbcbabbcacbbaaacbcccabbbabacabbbabcbacbcbbcccaacccbacbababcbccbaccabababcca
+caacbcacaabbccbbabaccbabacccbbcbacacaabcababccbbcbcbbbcbcacaaabacbbb
+aacabbaabbcabbacccccaaccbabbabaabcba
+aabbbcbcacbaabbcbbcaccbabacccaabc
+aaacabaacbcaaacbbcccabbababaabbccacbccababcbcbbcbaccbbcccbbccccabbbcbbbacccbbacabcacabbbbbba
+cbbbaaaccaccaacbcbbaacaababbaaa
+cbcbabbacbccabacaacabcacbbb
+bcbacbaabaabbbcccccbcbbaaaaab
+cbcaacbbcb
+bbaabbbbbaacaccabacaccacbcaabbcaacaacbabbaabbaaaacbaaacaccaabacabcacbcbbcbbcbcbcab
+bacaabaabbbcaababacacbabacaabccacacccbbcacbcccbbbbcaaabbcbbaacbcccbcabbccabcabcabbccbbaab
+bcbabacbbaabaacbcbcbbbbbabacbaaabaaacacacbccacbaaaacaabbccbcaccbbcabcabbbacbaabacabccacccaabcbacaaacc
+caabbcacbbbcaccccccbcabaabbbaaacbbaaca
+cacbbcbcbbaacabcbcbccabcacbbbaccbcbaccaacbcbaccbbbaaccbbaabcabcacbaccaabcaacbaabacbabcb
+bbcabccaccbacabaaaaabcbabcabcbbba
+babcbcaababacbbbcaaaacbcabacabacabcbcacbcbacbbbabbabbacacbbcbcbbcbabbaaacbaccaacaacbaccccbbccccaccacaccaa
+bccbbbaacbbaccacaacbcbabaabcbacccbcaabacccbbbbabbacaccbaacbaabaabbaaacccccbbbacabcccbbbbbcb
+baabacacbabaccbbbabcbccbcaccbabccb
+bbacaaaccabababcaacbacbcaccbaaacacbcacccbccbbbcacbbccaccabcbbbbaaababbaaacacabbacbcacabcbcbbcbbbbc
+ccaabbbaabbcbbcccbaaabcbbabcbcacbcaabbabcbccbbcaabcbbacbbacacbcbbbccbbacbcabaabaabbccba
+bbaababccacbabbcbbbabbbcccbacbabaacaabacabaabba
+aabccbcbacbacbbabcabaccaa
+bbaccacaabcaccabbcbbbbcacccbbbccaabcacbcbbaaaaaccabcbcaabcacbbbccababbbabacaabacbabbb
+caabbbaacbbbbbbaccacbcbcbccbbbcbcbcbcaccacabbcacabbbbacacccccaccacbabcaabaaaaaaacbaaacccaccbcbababaaa
+aacaaacbabbaacabacbaabcbbbaabccaa
+cbabbaabcabababcbbbabbacbbcbcaacbbcbabccc
+aabbcbabaabcccccabaaccbcaacbaac
+abbcabbacabcaccaaaccabcccbcbbaccbaabbbbccaaabacacabaaacabcbbabbbbcbcacabbbabbacc
+ccaabbccbccccabacbacacabbcbaccccbaaccaabbbbbbbcbbaabcaaabccababbaaababcabaccbbbc
+abacbbaacccbcbbbbbacacacaccababcabbbcccaabccbcbaccbcbaa
+bbabaabccaccbcbbcbabcccaacacacabcbcababbaccccabbaaacbccbbbcaaaccaaaaacbbacbabcbbaacbcaab
+aabcababbacbcbcabccabbaacaabbbccaabcacabacabaaccbabacaababbbaabcbabbcbcabbbcabbabbacc
+aaabcaaaabacacbbcccacbbcbacbabcabaccbaabcabcbccabba
+bcbbbbcbbbcbbbbc
+ccacbacbcbcb
+cacbcaccbbaabbcbbbbbabababbbccbccacbcbccabacaacacccbbababcabacbcabbabacaaabccbcbcacbcbccbbbc
+babbcbcccbaabbcccaaaaaacabbababcbcbbcbbbcaaaccabbcbbbcbaabacccbaacacaccbbbbbcab
+acacaccbababcacbabcccccabbacbcaabbbccacccabacabbabaccabccbbaaaacabaa
+cbbabcbccbbcbaaaacbbacabcacabbbcbacabcccbacabcccbccacaaaabcbbaccbbcccbcbacacbbccbbcccccbccba
+accacbbccaccbabaccbaaccbbbbabcaabbbabacabcbbaccbcbbcabbabcbbabccbabcbbbaacac
+bbacbcabcbbacbcacbcbbbcacaabcbbabaaaacccaacabcccacabaaccac
+abbcacbccacbcccabaacaccbcacabbbabaccacabcbcbbaaba
+acbccbcccbccbaaabaaccbbbaaccacabaaaccaabcbbacacabacaccbbcbabbcbaacacbbbcacaaaacbacac
+baccaaaccbabacacbbbbacaccabacbcbbcbabbbacbbab
+acbaaccaccaaaccccaaabbabcacaacaaacccbacbaacbabbacbaccccccaaccbbbacaacbcabacaabaabcbcbcbac
+cacabaccacabbbacaccaccbabacacccabcbaaacabbcabbaaacabbbcacacbacbcbbcaaaccaacaaabbbaacaacbbcbcbabbcb
+bbbccbbbcacbababccbcbcccaaabbcbccccacbbbbababbabccccccbbbaaacccbcbccbbbabbccbccabc
+cccbbabcacbacbaaacbbabcbaacbacaabbccbbcccbcbacaabacca
+bcbbcaaacbacabbbacababccaacaabcacccbccababacaaaaabbcbbbaabcacccbaababaaaabbccb
+acbbccabbcbcbacacbaaabbcccacccaaabbcbbacaccabbccbabbcbacbabbbbbcacbc
+cacbbcbcababacaaccccbabcbbbccccccbcbbcbaccacabaabb
+babbcbcccababacbbbbccbaccbaabaaccaaaaccbbabcbccacbabaaaaacabcbaabcbbbcbaaccbacabbcccbcccabbbccccbcbcacababba
+bccbcabacabaacaaacaccccba
+accaaaccabccbcaabcbcaccbaaccc
+acabbbcaacbaacabbbbbcbac
+cbbccaccbbbbbccccabbcabcaccaabacbcabccabaccbbbaacabcaaccabbbcabcb
+bbcaaacbabccaabcaaaacccbcbabbbcacaacbcabbcacccbcacbcbababccacbcccbcbbbbaccccbccbba
+abbacbbccccbcababbbabcbcaccabaaaabaccbacaacacbbcabbcbcbccabcabccacccbaaaabaacccccbabbcc
+babbbbcacacbccbcaabacbcccbb
+bcbcbbbbbabaabbc
+caacbcacacbacbcbbaacacaacaccacbcac
+cbabcabbbaaacccabbabbcabaaabaccbbaaacbbccacbcbbabcaaccbacbcabccbcabcbccacbaabaacbabbbaaaacacaaaaabcabbbbbca
+babcbbaabababcbabaabbabbacccacaacaaaba
+bbcabaaabbbcbccabbbcbcaabababbcbcaacacacacabaabaaabacacccbbaccbabbbabacbba
+cccababbbaacbbcca
+aaaabbaaabccbaaccbccbabbbaaacccccbccbbccccbaacaccbbaabaabcabacacccbcaaccbbaaaabcacabbbccababba
+bcaccccbbcbcaaabcaaabcbcbabaacbcbbcabaaccbbcabbcacabccbcacaaabbcccccacbcbacabcbabcaaacacbaacbabacc
+cabbbbcaaaabaccccbc
+caaccbbaacbaacbbbbbcabaaaacbacbabaacbcccccabacababaaccacacbcabcbaabbcabacaacaccbbbccbbccbcbcbcccab
+aaacbccacacbbacabcabcbbcbbcbcbbbccabbbcbabbabcbcaaccbbbbcabbabcbcacbc
+cbacbbabbbcaacaccacabaccaaabcacbbccbcacccaaccaabcbcbabababbbaccbbbbacbccbacbacbbbaacccaabcbacbba
+bacabbabbccbcabcbbcbcaaccabcabbcbcccabbaaaabcbbabababacba
+baccabbcaaacabbbbcbacccaccbacccaccaacccbcccbaacccabcbcbbccbcacabbbcabbcbcbccabccbccbacbcbccbcabaabbaa
+ccbacbbbaaababbaacbcacaccbacacabcaacbbabacacbaabcbbcbcaacaacbaaabbaabbacacc
+aaabcabbbbbaabbaccbccaabbabccbababcaabcbbacbacaabccabcbabaacacaabbccccaaaaabccccbbbabacbbaacccbabbcbcbb
+acccabbabbbcaababcaacacbbcbabaababaacccbcbacbcbbbaacc
+cbbccbbcaaabb
+cccbcbbcbbabcccbbababccbbbcacbccacaccbbbabcaaccbccaaa
+aabbbbbaacabbbabcbbcbaacaacabbbcbcbcbbacbabbbacaababccacccacbbbccabccbabbacccbabaababaac
+ccbcaaabbabbbbacbcabaacccaababacacaaabaaccbbbcbcccccacbcaababbacccbc
+abbcacbccbaaccbcbcaacacabbaabaaaaacbacbbabcbcbcaacbaaaacbbbbcbbbacaaaaacaacbccabbbccaabcccbabcbbaacbcaaccb
+baaacaaabaaaaacacbcbaaabaabacab
+cbaccbcabcccccbababbccabccbbbaabcaaacaccaaaacbaaacabbc
+cbcababbacabcccbccccbbabbacbacaaaccbaabaabcbabcbbacaabbbbaa
+bcbbbbacabcabcaacccabcbcabcbcbcbabac
+aabcbbcaacabbcccbbcccbbcaabccac
+abbcaaccbbabcbbabccababcacabcbcbbaabbccacbbaaacbcbcacbaabbccbbcacbabcbabbbcbcababaccbaacbacbbccbc
+cbbbcbabbcbbcbbbaabbbbbcbaccbaabcccbbbabcabb
+caaacabcacca
+acabacbbcbbcabcabcabbcbbccacc
+acaabcaabaccccbbabcbabcabcbabbcabcbaabbcccbca
+cacccbbbccbcabaaacaccbcccaaccaccabccccaabbbacccbcacaabcbaaacbcccaacbaababcbaaaabb
+acbacbacccaccbcababaaccabcabccacababbaaacaccabbbbbacbabccabaaabbbabbaaacacaacacabcbbcccbbcbcbbbab
+aaaaccccaaccbabaccabaaccacbbaacccccbbccabaaaccbaccaaaabaacbcacbbbaabbcbccaccbccabcaccbcbaabbbcbaac
+abbccabaacbccbbababbbccccaccacacbabacbacbcabbcbcacbbcaaabbbcc
+bbaacacbbcbccbbabacbbabacabacbbbcbcabcacbaacacbbbcaabccaaaabbbbbaaabbbcccbbcab
+cccabbbcaaaccbbbabbaccaabcabbcabcbcabaacabbcbbbcabbbaccbcbbccbabbcbcbccbbcbbabbbbcbccccbcbc
+cbcbcababbacbabccbabaabbcbccabcaacacbaccbbaccbcccaabbacabacccacaccaacabbacabcaacaccbacccaabcca
+aacaaccbbcbccababbbbbaabaaabaaabcbcacccaabccccaccababccbccaacbbbaaabbacacccabcabcbbabacccabcccab
+cabaacacaaabbccaccccbcbba
+aaacaabcccbbaabcacbacbabbccaabcacbabbabbacaccabaaacaaaabacacbbba
+cbccccabbbbabcccacbaaacbacabccbcbacbaccaaacbbbacbbaababbacbccacacaba
+bcaaaaacbabbbbacabcbccbacabbacaabbaaacbaccbaccbaccaacbbcacabccccbcbabbaacccbbaacb
+cbabbbaaaacbccabaaabcbaccccbc
+abcabbbccaaaaacacbabcabcbbcccbcaaccbccaccc
+cbcaabcbcaacbabbcacaaababcaaabcabacbcaaccbbccbbaacbcaacabcacbbbcaaaccbaabbabcbbbc
+cabaccbccbabaabbabccabcababbcbcaccccaccaaccabbbbaacaccccacabacbacbbcbc
+accaccbaaabbabccbacaabaabccacaabcacabcbaabbaacbcbcbcabbcccababbcaaacbbcabaaaaaacabbccccaaaabcbbabcccabca
+bcaccacaccccbbaacbccbabbcbccbbcacacccacaaaaaccccbcbbcbabbbacbabcbcbbcabcbacccabb
+bccbbbcbabcbbabcaabccacaccaacacbbbbbcaabcbabacccabbcacbbccacbaabcbacaaacbbbbbaaccacbccbccbbb
+cabbababcbaccaa
+acccbaabbcbc
+bcabcbbbbaaabaabbabbbababcccbbbcaccbaa
+abccbcbbbaacaaccbbabccaccbaaabcccaacbcccba
+bbbababacbcbabbcccbaababccbcaccabaacbcbcabbabbc
+bbcaaacbacbcabbcacacbccaaaccccbcbbaaaaaaaccbabccaccba
+ccacbabcccbbcbabbbacbaaabbbccbcaa
+abbccaacbbacaabaaaccbcbcaccaaabaacaacbacccbabacaabcabbbaabbabaac
+abaabcacaacacbbcbcabaabbababcbbccacbaabcbaccbccaa
+acbbccaaccaabbaccaccccbcbcaabacacccbabcccbcabcbcbaacbcccbaabbbabbbaaacaabaccbbbaacaaaca
+ccacacbaccbbbbbcbacccbccaccacacaacbaacacbcababccbccacbabbcaaacbcccbaabcabcabcbbaaa
+baacccbccbaabbccabbbbbabccbacacbacbcabcaaaaccccbbcababaccbabbccabbcbabbbbabbcabbaaacbaacababbcaacab
+acccbaccacbaaaaccaaaabaccacbcabbcacaaaacbcbbaabcabbcbacbbaaccacabcbcabaacbbc
+bcbcbbccabccaccbaccccbbbbacbaaaabbaabacbaaabbbcbacaaabcaacabcbccbcccaccaababcbccacbabbaabba
+cccbbababbaaabacabaacababcacccabcccbaaacbcbb
+ccbbccaabbbb
+ccbcbbbacaabbbabbabbacabbbbbabccccaaabaccccacbcccbbbcac
+aaccaccccbcaabbacacbccbcbcbcccacabbcccacbbacaccbbababbcbbaacbaaacaabbabaaaaaccaaabbcccaccaccccaabacbbb
+bcbbcacbacbbabcaba
+aabbabbcbcbcbaccaaabbcbabccccaabcbabcbbbbbbacbbbccaaacbcacacaabbacaccccbabcacacaaacccbcbccbccccbcaba
+bacacccacbbcbcabacaababbcccacccacbcccbcbccaabccbaaaabbbcbbaccbaabcbcaaccabbbbaaabbccabcabaacbcababbaa
+bbbbbbabacccbbbccbaabaabbbbacababbbcccabbcbaacbaabbacbaaaccbbcaabc
+bbbccabbcbcbbaacaccbbcccacbcaccbaaabaccaccbaaabaaaabac
+cbccaacacbbcbabcacbbbbbbcbcacaacbbabcaabccaaacaabcbbababcccbacbababbc
+aaababacbccccaab
+ccbcbacacbabaa
+cbbcbacbbccaa
+cbcccbbaabaaabcbabcbabbacbbbbacbabcbbaacacccbaaa
+aabbcabccbbcc
+ccbbcbcabacbcbcbabbccbcabcabbbcbcabccaaaccbcbcabbcaacabcccaccbbabcbcccbcbabaaacbaacbbcabccbacbcbaabbcb
+cacaacbbbabaabacaacaacbbccb
+ccbaabcccaacabbbbaabaaabcbcbbbbacbaabbacbbcaccaacabacccbcbaaabcbaaacaacaacabcbbacaaaa
+aaacbaabbacbbcbbbb
+bbabbcaabcaacaacccbabacbcaccaabaabbbbacabcacaacccaacacbacabaaaacabcbccb
+bcbaabacbccacaacabbbcbaabbbbaccabccaabbabccccacbabbcbaccacbbbcaccacaaccbcaaabccacabacccbcacacbbccccbc
+aaaacbabacbcbcbbbabbcbabbcbabcaacbaaacacbacbababbbacacbbcabbcbabacabccbabbbbccbaa
+babcbcbccacacbcccaccaacbaccacbbacbaccbacabbcbaa
+cacccbbbbcbcbbaaaaaabbacaaabbccabbbacbaabcccbbaabacbbbaacacaccabcab
+bcaacabcbcccababaccbccaaccbcbbacbcbabcabcbabcbbbbabcaaaabbaabbbcaaaaaabaccbccbbacacbbccc
+caabababbacacaaaaacaccbbbcbbcccbaabbbabcbbabbbbbaaaacbccccaabccbcb
+ccccccbccbacabbaaacbcbaccbacbcbaaabaabbbccabaaacaabbcbbccbabaaabcabcccbbcbcbaacbaacaacbacacaabcabb
+ccbcaabbabbbbbbbaaabacbaabcbbccabcacabacaaabb
+acbcccbaaaaccbbcacabbcb
+ccbcacbbbbbabbacaacacca
+bcbbbcbcabbbaacaacaaaaabbccbaccccccbcbcbcabbaaab
+acbcbcbbcaabacbbabbaabbcabbbccaaccacbcaccaabccbcbccaacbbabbbcbcbcccbcaa
+acbcaabbcbcabbacaacbcccccaacbbcccbbcaaacbbbbbbabbaacaccacacbacacbbcbc
+babaaaacaabba
+cabacacbcaabaccbbcabcbabcacacbc
+ccaaabcccacbbaacbabbbcbbccbbcbaccaccbccbacb
+aacbbaabcccaaaabca
+abbbccabbacabccbabaacaabcbbcaabccac
+baabbbccabaaacbcaccccacbabbbbbbbcacbcaabacacbccacabcaaccaccabaababcbcabaccbacaccbccaacbbabccacb
+abbacacacacaaaaccaccca
+abacabcabcaaacaaabbabaccbccbcbbbbcbbbccaabccbcbccabbcacbbbabccaabbbbbaccbbacbbcacbaccabbcaccabaac
+bcbbcaabcacabacabbbbbcacbabbbbacbcacbbbccbbbcbacb
+acbbacbcbcbbbbcaaacbacbabcabaacabbbabbbcabbabacbccccabcbbbabbbaaacabbbabbacbabbbcbccccabaaaacccbc
+abbbbbabbbccbccbcbbbaabbbacbbababcccacaabaababbbcbacbbccaababcacac
+acbabcaabbbabcbacaabaabaababbaacbcccbcccaaacbbbcbacaabbabbbccabccaabcbabcbcbacbbabaabbbcababcbcccccbcabcbbc
+cabacbbaaccacbccaacbbbcabaabaabcacacbcbbcbccbaacaabcaccbcbbbbcbbacccbbbccbabcbacccabbacc
+cbbcbcbacbca
+cbaacaaabbbacbcbccabcccaacbabcbccaababababbccabacbaabcbabacacacabbabcbcaccaabcabacccaaccbbcbabbcacaacbbaacb
+abbccabbcbcbbaabcabbcca
+bbbacaccabbbbacbbbaa
+baacbbacbbcbbacacabbccaaabbcbbbaabaaacaccbbcbbaaabc
+abaccccaaabbcbbcbacbcbbbbaacbaaccbbccaaaacccababaacaacbcaabaaabbbbbccbbabbbbabaabaccbbcaaccccbbbbcc
+cbcaaacacabacbbbcacaccbabcbbaaabcaaccbcbcbbabbca
+cbcbcacacbcaccbcccaaaabbaba
+bcabababbbccbaaacabbacaaaaaaabbccaababaabccbcbacbcaccaabccbaccbbbcccaccaabababcbbcabcaccbbaccbbbcbc
+aacacaaaccccbaaaccaacaa
+abcbbacbaccbc
+aabaaaaacacbccacccbabcbabababbaabcabccabaaaababbbbaabcabacaabccbacabccabcccbcbcbacbacabaabcbcaabbaacaaaabcc
+ccbccbbcaabbcaaabababbabcbbcbbbcacabcaaacabbabbcbbabaabaaabbbbbcacaaababcbccacbbbacaabcbcbcbacaabcabbababcaba
+ccacbbbabbbbcabccbccccacbc
+ccabbcbaccbbacacbcbbbbbbaabcccbabcabbcbabba
+cbbabbcabbaaca
+accabbcaabcacacacacbbaaacccabaaabacaaaaacacaaabbccbbcabaccaabacababaccbabcbbbabbacaabcaaabcaaacbcaacacc
+abbacacbccabaabbacacacbacababccaacaabaacaac
+ccacabcbababbaccbaacabccaacaacccacacbabbaabbbacabbabccaabcbcababbbbbbbcaabcbbcbbbbccbcccacbbbabcabbbccbabcb
+aacaabbcbcbbaccaaabbbacaaaacaacbbcaaababccbcbcbaaaaccabba
+bccccccaaaaccabbbacbcccccacccbaabcbbcacaacaaabbaacabbccbcbacbabacaaabcccaacaababcabaabaacbcaacbaba
+accaaccbcbcacababcacacaacacbbabaaaabccaacbbbabbbbaccccaaacbaabaabaaacaabcaaaaac
+bccaacbcbcbccbcbabacbccbbcaaccaaabbbbab
+cbabbbcbaabcaabccaccbccccba
+abacbbcaab
+babacbccaabcccabccbbaabcbcaaababaabcaacbacabcbacaacccaccbccccccbabaabbbcbabcbb
+bbcacccabcabcabababaacabacccbacbcabaabcbcabcaa
+aabbbbacbccabcbbccccaabb
+cbbcabaccabcaccabbbbcaabaacbcbccacaabbbbbaabbcca
+bacbbabaccccaabbaabcaabacccacabccabbababccbccbacacbacbbcabcabbac
+ccaccbaaabababaabbbccacbbabccbbccccbacbaacaccaaabcbbcccabcccbbbacabbbbcbbbccbbbaabbabbacbbababbbaacbbc
+cbabcacbbbbccaacbacbababccbbbaacabc
+abbcaaaacabacbabcbaabaaccccbbbbbbcbc
+cbbbcababcabbbaccbabcacbbbc
+bbcabaaabaab
+acabcacbcacacbbcabccbacabbcbcbcbbb
+cccbaacababcaaaabbcbbacccabaaaaccacacacbbabacaabcccccbaaccbacbbcaccbcbababaacacbaabbbaabcba
+cbacababbccbabbbcccbbbacaabbcaabaaacaccacbabcabcabbbcbbbbbaabccab
+bccbabcabcbbcbccbacbcaaacacbbcaacaccbcacabaccbbacacbbaccccaaccabcbaacbbbccbbba
+bcbbaaabcccbcccbacacabccacbbbbbbacbcbbcaabcacacacaaacbbccbcc
+bbcbaacabbaccaacbcccbbacabaabaaacacabaccccabaabcabaaab
+caabbbabcacbaba
+cabbabcbaabbcbcaaacbaaabbcaabbaaabaaaccabbbabbcbcbcbccbabcabccaacabbbcaccbcbac
+bccbabbabccbaaccbabcccbcaccacccb
+cbbababcaaabbaacbaacbccbbccbbccbbbcbcbbacccbaaacbbcccbbbcbabccaababcccaaccaccabaacbcabbaabaabbacaaccbbbbbcaca
+cacabaccbaccacbccabbaabbabcabcabacaaacabaabbbbcbccbabbcccacabacbabbcaaaccabcbccabccacccabbcaaababcbccb
+ababccaaccbccbacabccabaccbcbcbccacacaabaacbaaccacbbc
+aaccccccbabccbbacbbabbabbaaacbcccbbbbaabbaccabbbabaccbccbbbaabbbabbbccbcaccbaacbabccabccabcbacbccabcccbaccaba
+accaccbcaaacacbccbbaabcabbcaacaccaccaabbbcccbcccabbccccaccacbbbbcacbaab
+ccbcbacabcacababcabab
+caaccacaabccbbaaccaabbaacbcbcbcbccccaaacbbcaccccbbbcbaacbabcabcbcbbacbbacbaacbcbbabac
+bbabbbacbbbbaaaccbccbbbcccaaabbcbbbbabbcbcccccabaaccccc
+cbcbbbbabbacbabbaaccbcbacbaaacb
+44 44
+cbaaabbacccababccacbccaabbcbababbacbbbaaabaaaaaabbbccccbcabbbbbaccaabccccbbbaababcaaaabccaa
+bcabcccaacabbacabbacaa
+aaaaccccbbaabcbabbbbbacbcccacabcbaacb
+caaacbcaabbacbcabbbbccacacbcbbcaabbb
+ccabcbbbcabcacbc
+aaabaabbababcacabbbabbcacccacabcbaacbccabbbbacbbbcbbaacacbbcbbc
+ccabbbbbcbcacbbbababbbabccbbabbbcccabbbabbcac
+cbbbbcbaabcabcbcbbcbcbaac
+caaaacccbbbccbabcccbcccbcbbaccacaabcabbbacacbcaabbcbaccaccaccbbaabbbcabababc
+bcabcbabbbcccbcbabacabaabbcbba
+cbbbbaccaaaaacccabcccbacbacaaaabb
+cbacaabacabababbacaaabcbaccaa
+abccacbbabbbacabcbccbabacbabcaaaabaaccccccbbcabcccbcabbcccbbccbbbaaccc
+bcaaababbabbacaaacbbbabbaacaabcabacbaabaabaabbcccbaacacbccbaacbaaccacabbabcbbcccbcccaaccacb
+abbbbcbaacaabacababccbbabcbaaaacabaaabaaabcacabcbaaabccacaab
+abaccaccbaaacacccabbbcaaabacaaccbbaabcabbccabccbaabaaaacbcababcababcacbbbcaa
+aacbcbcccccbbacbcacaaccccaabbcbbcccbccabcaaccbbbcbbbcabacabbaababaacbbcbcbbcacaacbabbbbbbccbcbabbbbacaa
+bababbcbccababbabaaacabb
+cbbbbbaaaccbbabcbbaabaacbcbca
+bbcabbabbccabaaabcacacbbcccaccaaabcccccbbacacabacaaacbabcabababacabbbaaccabbbc
+bcbcbabbabbcbaccacbababaabbaccbbccaaccabcabbcacbabbcabacccbbcaaab
+bbcacaababbbaac
+bacaaacbcbccacbaacaabbbacbbcaabbbccababcabcacbcaaabcccacbcabcccacccacacabccacbcbabcccacabbacbac
+bbbbcaacbbbaaacababbcaccbbaaaaaabcbbcacaaccbccaacbbcccaccbabaaccbcababacbcaabbccbbbcaccccb
+baacbbcabbbc
+aaaaacbcaacbcabba
+aacccacabacaabacacbccbcabaaaaaaaabbaacacbbcabaaabcbbacccbccacccbbbcaabcbaccacabccabacacbaabcbaa
+abaaaaacaabcacbacaccaccabbbabb
+cccccbabaa
+bcbcbacbbacbaabcbbabaabbabcaacacccaabcaababaabbbbaccacbacccaccacacaabbbabbbacacccaaacba
+caccaabbcbbbcaccbacabbacbccaabcbcbaabbccccaccbabcbbccbccaccbaaabcac
+acccbcacccbbacacbbcabcbcbcbbbcacaaaaccaacacbbbbbccaccbccbccaaccbaaaabcbbbacbcccaccabbcaaabbcccbcc
+aabababaacbaabaacbcbabbbacbbccabcbcacbcabaccaccaaabaacbacccbaabbacccbbabcabcbacaacbccbbabbabaaacbaacbccc
+acacbabbaaaacaaaabccbcbcbbbacbaababcaccbbaa
+cabccbbcbccbcbaaacaccbbbcbcbcccbbbcacabccbbcaaabbacbbbbcccbabaacacacbaccbaaaccacbaccba
+aaccbbbababbaabbba
+cbbccccbcc
+acaccbcabccaacabbacccccacbbaccaacccabbabbccbababbaabccbcbccab
+cbbcccbaccaccaccabbabaaabaccbaabbacabbcaaabbccacaaaaaaccbcbaabbbab
+bcccbbbbcbbbcaaabbacaaabbabbacbcbbcbbaacbacaacbaaccbbbbaacbbaabbcbbcbccabcbccccbbccbbcabaabaa
+abaabababaabacbabbcacccbcbbcaccbbc
+acbcbacbbcabcaaccaaaccbacabaabaaccbcccaacbabaaaababbccaaabcabacbbcbbcbabcaabcabacbcbacbbcbaca
+acbaabbcaccbcbcbbaacbcccabbcbcabcbbbccbcbab
+cabaacaaaccbcbacaccbbcacca
+50 45
+aababababbbabaaaaaaaaabbbbbbbbbbaabbbbaaabbbbabbbbbaababaabbaabbbabbabaaaabbbabbaaaabbbbaabababbaaaba
+aaaabaaaabb
+babbaabbaabbbbababbbabbaabbbaabaaab
+abbabbbabb
+abaaaaabaabaaaababbaabaabbbbabbabbaaabababbabaaabbba
+bababbbbaaabbbbaaababbabbbabbbb
+baabaaaaabbaabaababbbbababbaaaabaaabbabababa
+abbaababaabaabbababbbbaaababbaaabbaaaaababaabaaabbbaaabbbaaababbaaaa
+bababaababbbaaababbbabbaababaababbbaabbbbabbbbabaabaaababbbaaaaaabaaabaa
+baaababbbbaaabbaaab
+aabbaabaaaaabaaaaaaabbbbbbbbbbabaaaabbbabbaba
+bbababaababaaabaaabaaababaaabbabaabaababbbbabaabbaabbaabbbaabababbbbbaba
+aaaabbabaababbaaaababbaabbbaabbaaabaabbabbaaaaabaaaabbbaaababababbbbbabbbabaaaab
+baabaaaaaaabaababbaabbbababaaabaabbabaababbaaaaa
+bbaaabaabababbaababaababababbababaaabbbbbaaabbabbbbbbbabababbaababaaabbaaaabbabaabaabbabbaaaaba
+aabbbbabaaaabbababbaaababbbbaababbbbbbbbaaababbabbbba
+abbbbaabbabbabaaaabbaabbaaababbbabbabbbb
+baaabbabbaabbabbbbbba
+bbbabbbbbabbaaababaababababababbbaabaabbbabaabbbbbaaabbaaaabaaabbabbabbababaaabbbbaaaaaabbbb
+aabaaabbaaaabbbbbaabbabbaba
+bbbababbabbabbababbaababbbaabbbabbabbbbabababbaaaabaaabbaaabbbaaaabaaabbbbabbab
+aaabaababbbbbababaaaababbabaabbababababbabbabbbabaababaaabababaaaaaabaabbbbbbbaaababaabababbbbbbaabb
+aaaaaaabbabbabbbbbabbbbbabbbbaaaababbaaabbbbbbbbaabaabbbbabbaabbaab
+baabaaabbbbaaaabbbbbaabbabaaaaaaabbabaaaabbaaabaaaaaaabbaabaabaabaaaaaaaabbaa
+aaabbbbbbababbbbabbbbaaabaaaaaaabbbbabaabaababbbaabababbaaaabbaaaaabbabaa
+abbbbaabaabaabb
+bbabbbbaabbabbbaaaabaabbbaaabbaababbaab
+aaabbaaabbbaabbabbbabbbbabbbaaabbbabaaababbbaabbbaaaabaababababbabbaababbbabbaaaaaababbbbbbb
+aaabbbababaaabaaaaaabbaaababbbaaabbbaabbbbabb
+bbbaabbbaaabaaaaaabbbaabbabbbbaaababa
+bbaaabbabbbaabbbabbbbbaab
+ababbabbabbbabbbbbbabaaaabaaabababbbabaabbaaaabaabbbaaaaaabbbaaababbbaabaabbaabbabaaaaabbaabaaabbaaaaaabaa
+bbbababababbabbaabbbaabbabbaabbabaabaaabbbabbabbbbbbbbbbaaaabab
+abbabababbaaabaaabbaabbbabbaaabbbbababbabbbbbaababaabbabbbabaababbbbbbaa
+baaaaaaabbbabbbaaababaabaabbbabaaabaaaabababbbbabaabbabaabbaabaaababaabaabbbabbaaabaaaabbaaaaaaaaa
+aabbabbaaabaabbaaaaaababababbbbababaaab
+aaaaabaaaabbaabbaaabbbbbababbaaaabbbbbabbbbaababbaaaababbbbaabbbaabaabababaaaabaabaabbbbbaababaaabbbbaabbaa
+aaababaaaaabbbabbbaabbbaaaaabbbababbabbbaabaabaaabaaabbabbabbbbaaabaaaaaabbbaababbaaba
+bababaaababbbbbbabaaa
+aabbababbabababbbaababbaaaabbaaaababaabababbabbb
+abbabaabaabbabababaabaaabbbbabaababbababb
+aabbabababaabbbbbaaabbabbbbabaa
+abaaabbbbb
+aaaabaabbbbbabbabbababaaaaabbaababb
+bbaabaabaabbbbaabababaabababbababaaaabbbaaaabbbaaaabbbbbababbbbbabbbaabbbbb
+aaaaaabbaabbbabbbbbabbaabbaaaabbbbaaabababaabaabbbabbbab
+aabbabaababbababbbbaaaaabbababbaabbbaabababbaabababbbaaaabaaaabaabbbbbbbaaa
+bbbbabbabbbbaaabbbbaababaaabaaabaabaaabaaaababbbbababbaabbaabaababaaabaababbabaabbabbbababaaaaaabaabbbbab
+abbabbbaaaaabbabbba
+abbababbbabaabbbbaabbbbaabbbbbbababbaabbbaabaabbbabbabaababbabbbabab
+125 116
+baccbcbccbacabcccbbcbbaacbbabbbcbabaab
+bbaaacccbcbbcbabcbbacacb
+cabbbbababaaabcabcacbcabcccabbabbababbcbabcacbbccccbccbb
+ccbcccbbcabbccaabcbcccaaacaacabccccccbabacccbcbccccabacbcaaabbacbabbbacbbcbcaaabacaa
+bcacccbbccaacbacbaabaccbababccbbbbcaaccacbaacbbccbcccbaacabbccaabccbabcacbbbcaaabbbbaccaabcabaaacacaabccab
+abbabbcbaaaacabaccabbbababcaacccaacbaaacaabbacabccaabbbcccacccabbcbacbaacabccabcbabbbbbaabbcabcccbbcbcacbcac
+abbbacbbbcccbcaaaabcabccbcccaaabbabbaac
+aaacbccaacabbaacccaaccabcabbccccaaccbababbabbcbcabcbbc
+bbbaccaccbcabacacbaaacacbccaacacabcccbaacbaacbab
+bbacbcaaaabbcacbbbaaccbabccabbbbaabcabcbcbcaa
+cacaacbbbabccacbcbcccbbcbbbbabbbbabb
+babbabbabaaabcbacccbaacbbcbcabacbccaaaaabaccbcbabb
+aabcabababbaaaccbbbaabbbcaabcaacaccbbbaabbcccacbbaacccac
+baaacbbbccbcbabcabbbbccacbaababcabbbcacacccaacabbbcbcaacacabaaaa
+bccbbcacbbabccbcbbccbcbbaaccccabbaccbbbababaabaabacbbaaacbaabcaaaababbbbabcaababbcccaacbbabbacabb
+cabbaccbaabbbb
+cacaacbcccaaccacacccaacbcbbacbacbabbcbcabacabaaaaaccaabcbaabbcaaaccabaababccaccbbabbbcbbcb
+acbccaacacaabbbcbbcccccabbabbaaaccbbbbaacbaababbcbcbcabcbbcabbaacc
+acccaaaacc
+aaaaabbbccbabaababcbaabcacaaccaaaccabcbcaacacbcabcccbbbbaacabcccbcacabbcacbbcabbccabaccbaaccabacbab
+ccacaabcacbabcabaabccccccbbaacbccacabbaaaaacbbacbcbbcacbca
+bcbacccbacababbcbaaaaacbcbcccabcccbccbcbaaacaabababbaaabbbaacaacabcbcaababccacbbbcabcabcbbbcaab
+ccaabcbaabaabbcab
+bcccbbcccbcbcacbcacbcabaacbcaabaacbcabbabcababcc
+baccaccccbccabacccbbcaccbbcabbcacbaccacbcaaabccbaaaaaccaacacccaccaabcb
+aabaacbacaaacbcbcaabbacbccabbccaaabbccbcbacccabcccaccccabccccbaaccbcabbabaaabba
+baabacbabbcacbacabccaabaccbbaccbaccacacb
+aacccabcacbbcaaabbaabcbbbaa
+aabaabbccccbcaacbaccacaccbcbccbaacbcbcabacccbbbacbcbaaaabacaaaabcaccbcccbcbaab
+accbbbabccacbbcacbbabcabbcbcbbbbcaaaaabababbbabcbcabbabacaabccaaacbbcabbbacccbbbcacaaabab
+bbbbaaaaacaaabcbbbcbaabbbccccbccaaccaaabbcacccaabaaaccccbbccacacaabccaabccbcbaabccccccacbaac
+cbbacbacccbcabbcbcbbcbbbcabcbabbacbacccababbabcbaccbccbabcbaa
+cacaabbbacbcbabcbcaaabbcacaabcc
+caaacccaccabacbabbbccbbcaabacbcabcbcaaacbbcabbcccbabbcbccbaabcabcbccbabbbcabacccacabacccaaccbccabaacbb
+acabbbbaabbbbbbcabbbabbcccaabcacbbbcb
+cbcabacaabbccbacacccaaabbccccaccbaabcbaccbbacbbcaabccacacaacbaacbacabccababccabcabcaabc
+baaaabcccababcbbbbcbcabbacaaabacccabcccaabbccaabaaaccbaacbbcaaacacbabcbcacbabccacccbacabbbacbbcbcc
+cbabccccbabbabcacbbcbaccaabcbaabbaccaabbbacccbcacbacabacaaababcacbabbbcaacbbcccbccbaaacbccbccacabcbcccaccbcc
+bcaaabcababbcbabbbcaaabcaccacacabbccaaacbcaacabbcccbcbaababbacbaccbaaccbbacbccacbbaacb
+aacabccbbbaccbccbaabaabbbbac
+ccaabcbaabacbbacabaababbbcabcbc
+bacabcbabcbbcbccbaaccacbbaaabcbbacbcbbccabccabaacaacbbaabbacacbacbba
+caaaaccbcabcabccbacaccabccbccccccccbcccacbbccaccbacbbbbccccaaaacbacaaacbbbccbbccbcaabbca
+bccaccaabbaaabcbcacccbcbccabcbccbacbcabcaabcabacbaabacacbcbbacbcccabbbcbbbaabaacacbccbabcbacacbbaacbabccacbcc
+bcaacbbaaaacbcbbacbabcbabbbbacbcababcbaaabccacccaccacbcaaaaababbbbaccacbbcaccbccaacccaccaabbcaabccbaaccbaa
+bcabbbaacaabcaabcbccaabaabcbaaccbacabbaccccccaabcbacccbccc
+caaacbcabcbbbcbcabcbacabacaabbcbaabcbabbcccaccccbabccccbaaabbcacabbabbcbcbbacbaaccabccbc
+baccccaacbbcccbbbcccacaccbcaababaabbaacbabaaccbabcaacbaccccccccabacbabcacccbaaabaaaabbbccabcbaccbbcacabb
+cbbcbbbccaaaabbbcbbcbccccbcababbcbaccccacabc
+bccbbcccacaacbbcacbbbbaacccabcbbabcaaccbbaaaaaabacabbbaaaacbaabcccacacbcb
+aaccbcbbbbbcccacbbabcbcbcabcbbcacacbaaabbbbbabaaccacbabaacaccaacacaaaabbbaacccbcbbccccbcbbcaaccbabbcbccbcbca
+bcbcaccbcbbbcaaabaabaccabbaaca
+bcbaaccabcacccbcabcbcbabcabacaaacbbbbbbacaac
+acabaacbbbaaaaccbbbbbccbccabcacaaaacacccacacbabcaccbaccacaaacabbcbaacccaccac
+caccabcbbaacacbbbabaabcaaaabbbcbcaabbbaacbbcaababbacbbbabbabbcabbbbabacbacc
+acbcccbacabc
+abccbaaabacacaaccababbabbbcabccabacbbccacaacbcbabaccccbbbabbaaaabaabbaabacccbca
+cccbabccbcaacaacbccccacbcbaacbabcbaabcbcbcbacaccbcbbacaacbaaccbaacbccaabbbacba
+bbcaaccbbaccc
+babacbccbbaababcbbcabcbbcbabaccaac
+babaaccabbbacccabbcbcacbbccbccbbcbacac
+bccbbcacbcacaabaccbbbcacaaa
+babcbaccaababcbccaabbaacbbbbacabcbccbaacaccabbbbaccabbcccbbacccaaaaacaaaababbbbabcaaaaacacac
+babbcacbbaababbabcbccabacbabcc
+abcbccccbccaccabb
+cbabacbcccbaacaccaaabaabccaaccccaabbbaaacbccaaacccbbbccbaccbcacaacbccccaabaacaaabcbaccbccac
+cababcbbcaacbabaaabbaabcbabbcacacaccbcaccbbcaaacaccbccbcbabbccabacbacab
+bbcabbbaaaabcbcbaabcabaacaacbbcbaaabbabbabbaaabbaaccccaccccccbbababa
+aaacbaabccbcccbbacbababcbababcbaabbbbababbaaabcacacaccaaabacbaaaaabcbaabbbbccbb
+bcaabcabaaccbcbcbcaaacaab
+cbaabcbababaabbaacbbcbbcbcaaaccaccabcaabccbcacccccbbcacaaaaaccbcbbc
+bcbcacababbccbabcbabbbbcaccabcbcccacccbbaabbabccbbbabcbbbbbbbabab
+bacaccbabbaaaaacacbcbabbcbaccaacbbcccbabacbbccaaacacabbcabcacaccabbab
+caccbbcacaccbababacccbcacbcaaca
+acaaaabbaacaaaaaccbcccbacacbcbbcbaa
+ccbcbcbbbababbabcbacccbcacacbaccccabccbccaaaccacccabbc
+caccbcbbaacbbac
+aaabcbbacbacccbbaccbcaaccbabbabbbbcababcbcabccbbccbbccaacbbaacbaaaaaacbaabcca
+acabcbacaaccabbaccccccccccaacabbbbbabacbaacbaabababbbabcbcbcaabacbaccabbacbcaa
+caabaccacaabaaacacabacbcaabbacbaacbbcbbacabacabcaabaabccaaaacabc
+aaacbabbbcac
+ccabbabbaabccabcabacacacabaaac
+acbcacaaaacbacbabbbaabcbcbbcabcbbabcbcaabbacbbccbcbababbbccaaaabccaabcbcbcaaab
+cbabbbcabbaaabbbccbabbccabababbbcacaaccaabcbccccbbbccabacbbaabbaabaaaccbbcacacacacacacaabccccccbccbacac
+bcaccaacbaacbbcbbba
+abcaacccacaaccccbbaabaaaaccbbccaacbbcbcacccbcbbcaacbcccacabccaabccaabbacbcccaaaaccbcbaaacbacbaccbcabcccbbaa
+aacccaaaabcbcccbaabcbbacacabcbbaaaccbacccaabacaccacccacabbcbbacbcaacabcbbbabccbacbabcbccb
+abbaaccbbccaacaacbbabccccbabaacbbaaaa
+acbcaabbcaabbbababccaabbacbcbabbccccccabacc
+baacaacbbbababcabaaabccbabbcbcaab
+cbcbcbccaaccabcbbcbbcbcbabcbcbccacbaabacbcbbcbbccccaaacccccccccbabaaccacccbabaacbaaaacacaa
+accbcbcbccbcaacccbbbacba
+bbcbcaaaccbcabbacbabccbcbcabcb
+bcabcaaacaacbaacbacccaccccbbbacbacccba
+bcabcbaaacabcbccaaabaccabcbacbbcacaaccabbcaccac
+cbaccaccbaababbbacbbabccaabaccaacaababbcbcbbbaacaccbacccaabbbcaacbcaccbbbaaacaacccbccacaacaabaacbbabc
+bbbccbacaaaccabcbacbccccccaaabacbccbcbaaaaacbcaabaaaaabbaabbbccb
+bcaabaabcbcaabaabccaacbbbaccbcac
+aaacbbbcbcbbcbcbacaaaacbccbabaabbaabaabbbbcbbbaacbbbbcbacccbcababbcbccacabcacbbccaaacbacbbaaacbbbbabbcccbbaa
+acabbacababbbabbaaaabbcbbaabccaaaabbbacacbbacccbabacbaabaabbccabaabccaccccb
+babbbbbcbabaabcbabbaacbbaca
+bccaacbbbabccbcacaabbbbabbaaabaabaabaacbbbaaaabbaabcccc
+acbbaaaabbaccbcbbacbcbbcbaaababcacaaacbbacbbbacbcabaabbabcabccbcabacc
+bbababcabaabccaababbbcacabcccbabcbaabbccbcacbcbcabacbaabcabbbcbbbbabccbcbbacaaaaabaaaaaaaabcabaacabbb
+bbbccbacbaabbaccbbccaabacababbcbcbcbbbcababaaacbabbabaccabcaabbbabbabaccbbacbacbabbcbbbbaccacababbcaccbacc
+bcabbbcbbcbabbabaaabcbccaabbacabbccbccbcbbcbacabbccbcbbbbbabaccbb
+caabbaaabaaccbbacccababbbcbccaaaacacbccbaabccbababacbacbbccbacaaabcbacbabcccccaaabaacbbbabccbccaabbabcaca
+bbbcabccbcaaaaaaccaabacaaabcaaacabcaccbcbbacaacbcbabcbaabccaabccccbbababcbaabacacaaabbbbbbb
+ccacacaacbbcbbaaabbaaacbbacabaabcbaaacbbacaacabcba
+bbcabbabaabccaa
+abcbbbabacbbbcbbcaaacca
+bcbcaacbabbcaabbabbcbbaacacabaaacbabbcacaacbac
+bcccacccaacbcaabbaaaaabbccacccabbaaacbcbabaccbacccbccca
+ccaabbcacbcaacacbbbbccccaacacabaacaccbcabbabbcbcabccbabacbabcacbcbcacac
+cccccaaabaaccaccabbbbac
+acbcbbcaaabacabaccacaaaacaccaccbabababbabab
+cacaacccaaaaccabbbbaabcaabbbbacbbbaabcaaacbbcccabaccbccbbbaccaaabbaccbbbbbacaaabbaacc
+bccccccbcccaccbcbacccabcabbcbcbccbabcbcbbcbbccbbabbb
+babbaaaccaaabcbbcbc
+abbccbcacaabaacbccbbaaccccbccbabacbcbbccababbbcccbcbcbabcccbcbaaabccbbbbbaabbbbcbcbac
+cbaacabcabacbcacccccacccbbbbcbacabb
+bccaaaacbaaaaaacbbbbcaccbcaaacaaabbcbccbbacbbbaacbbababccabcbababaaabcccabaabaccaacccabacab
+bbcbbabbaababaccabbbbaccccacaaacaababbcbaacbcbcaccbaaaaaccabaaacbabbababbacaacccaaaaacbabbbcaccbbca
+bcbacaaaacaaacacacbcbacaacbcbbabcbabcacbacababcacabcacbcbcabbcbbcaccbacbcacacbaababa
+ccccaacaccababbbbbcbcbaacaacaaacaaaaacccccabcccbaabccaccc
+157 157
+bacbcbbcbcaababcabccabaabccacaaabbacbbcacbbbbbabbcaaaaccbbaaabaccacabcaccbbccabcbbbbbbbcaccbbcacaaabbbacaabc
+baacaabccbbacabbcacbbcbacccaacbcbacabcaccaaacccbcaacbbacacbccbabacccababacaccba
+bcbbbacabacaaacbccccbaacbaabbcbbcaaccbbbaaacabcaccbcbcacabcbcba
+bcccacbaccbccbccbaaccbbccc
+caaaccaccaacaabbcbabcbcababa
+abaccabaababacbaaaacabcbacccbaabbabbacabcacabaaababccccabcccaacacabcabc
+bacaaccaacaabbcaacbaabcbaccaccaacabcabccbcbcbcbabcbabaccabcccaaaaccccaccacaa
+cbababcaabababbabacabccbccbbabaabcccabababaaacbbbccccbbbbcbccacacacbcbccbabcbaabaacbcacacca
+bbaccbcaabbcaaaacaaacbc
+cccbbabbabaabaacbcccbabaaacaaccaacbcabbaaacbcabacbbabccbbab
+ccbbbbaccbbcbcaaccbccabbbbabac
+aacabccbcbbaacbbaccbcacabaaaabaccccaaabbbacacccbababaaaababcbaacaccbbaabcaaaccccacbbababcacbcbbbb
+abbabaacbcbbbccacbbaccbcccbcbaccacaaccabbababacbcababbcbaabbaaccaacbaacabacabbbcbbaccc
+cbbacbbaccbbaaabcccaccbbcbbaabbcaacccbaaaaabbccaaccbccbccaccacccabcbcccaaccca
+cbcbbacccbcacabaaaccacbbaabcabcbbbbbbaaaacbbcbaacbcbbabbcccbcaaabc
+abaacbaababacababbacbbabcbaacbabccbcabcabaacbcaa
+abcbcbbccbccccbcccbbccc
+caacbabaaaaabcccbbacbabcccbcabbaccbac
+acbbbcbacabcbbccacabacccbcbaccbaabccaacbaabbabbbabacbaba
+bccaacabaacb
+caaaabcbbacbcbccacaaabbaaccabacacbbcabccbbbbbbccc
+acacababbbcccaa
+aabbbaccaaabaacbbaacaaaacacabbbbcaaccabbbbaabbaabcacbabaaaacababbbaababcb
+bcaacccbbcccaacbbbaccbbbbcbcbbbbbcccaacbbacabcacbbcbaa
+ccabbbaabbbacbcbccaabacaacbcacbcaccbcbcbaacacbaabbcbaacbaacccabcababacbaabbcacbbacbabbcaacaaaaaccaba
+bccbbcaababcbbccbaabaabaaabcccbcacbcaccbccabacbccbb
+bccbccabbbabacb
+cbbccaababaccabbccabababcacacbacacbabacccaaaaaaba
+aaaaccaaabcbaa
+bbbabbcacbbcaaaccbbcbcbccabcbbbbb
+aababcbbbababccabbcaabcbcabbbcbcbbccabbcaaaccabbbbaabaaacbabbccbbacbcacc
+acaccacbbccbbcccccacacbaacaabcbbaa
+aaaabaabcaabbcababaaaacccbabbbaccccacaaacabacabaabcccccbcaabcca
+acaabcabbbcbbaccccbb
+ccccaacaaccacaaaabacb
+ccbbabbcacbabbcacabbbabaabcabacccacabbbac
+bcbbcabaacabaaacbabccccbbcccaaccccaccbbccb
+bbaabbccacabccacaaaacaabcbcabcabccabbaaaabcaaabaaacbbcbcbbcbbcabb
+aabcccaacbacaccbacccbaaabcacabcbbcabbcbbbcbaccacaababbccba
+ccccbcbcbbccaabbcbcbbbaacaababa
+aaaababbaacbccccaaaaabbbcbcabbabababacacaaacabacbbcabbccccaaacaccaabababbcbccb
+ccbccabccabcccaabcacbbbcbbcaaabaaacabbbbaaaabaabaacaabbacbabccacacbcbccbacabaabacbccababab
+cacacaccacaaaaacacabababccabbccaaacababacaba
+caccabccbbbbacccaccbcacccaaacacaccacaccbaabcbaabacccccbbccbccbacabb
+accabccacbcbaccbccaaaa
+caaacaabbccbaaaaaacbabaaabccbcaccaabcbccabacbaaaaaabbccbcbccbcbcccbcbaacccbcabbbccbcbaacbabacabbba
+acccacabbbabbacbbbbabcaabcbcabccbbbbacc
+bccaababbcaacbaaccaacaababcabbccabcbabcccbcbcacacbacbcaaaabcacbbcaaabcacbabacbabcaacbabbaaabcabaabacacac
+bcaabcbcbcacbbcbacbacacbbcaacababacabbabacbccbcabbcaacaabcccc
+ccaccacabbaacabbabbabcbacccccbabaaaacbbcbcababcbaaaabbcbcbcabcbcbabcaccbbcca
+ccccbbbccaaabacccabbabbccbabacbbababaabbccacbcaaabababbccbaccbbbcccacbaa
+aaabcbcbcbcaaa
+ababcbcaccbabaaccacbbccccacccbbaabaaabca
+cbbabacbacbbbbcbcccbccabcbcccacabbbbababacbbacbbaacbaabbaacabccbcccccccbbbcbbaabacbcbcccca
+bccaacaccbbcaccbacbabcbbaacbabaaabccacbacbcbcccabaaaacabacc
+abcccabbaaacabcccbcaacbaabaaaacbabacaaaccbcabccaaccbbacb
+bacababccaabbccaaacbcabccaabccabacacbbcabbccbcbbcaaaaabbbacbabacbacbcbbac
+babcababbbbcbccbcbcabcabcabcbcbccaaaccbcbbcacabacaabacbacacbbbbbccca
+bcacabcbbcbccacbcacbcaca
+cccbbcabcaccbcabbaaaabaacabcbbcacbbbbabaabacabbcccbbbbccccac
+cccbbbaaacbcacbaaccbbaccbbb
+caccaaacabaabcaacccabcaaccbcaaabbaaaabbbccbcbaacacaaaabaaac
+aabcbcaaacabbaaaababcbbbaccccbcccabccacbbcabcaabbabaabaabcbcabcbcacabcabacababbbbbcacc
+aabbcabbabbcccacbaacacccabcccabaacbbacc
+aaacaaccababcaccabccaccaabcbbcbccbbabccaabacbccbaacaaabbaccbcaababacaaccccaabcaac
+cccbcbcbabcbaccbbbabcbcabbcbcabcbabaabcbbcaccbbcabaaca
+bbbacacccbbabbbabcabbbcaaabbbacacacaabcbcbcaabcacbccacabaabbbcabbaba
+abcbababbaaaaaabbccbacaabbccca
+ccbbbccaabbabbabccbbcacacabbcaaaabcbaccbacbbaccabccbcccccabcbaabbbb
+cbabbcccbaacccacbbccacbcccbcabbabbbcbabcbbababaaabbbb
+acabcbcbabbaabcbccaaabbaccbabbccbccbabaccaacabaa
+bbabbababcbaaaaaccacbcaccaaabbbbcababbaaccccacacbabbccabacaacaabacccaccaacaabcab
+bacacccaacbbbccabacbacbcaabbacbaaaa
+abaacabbbabccababbbccabcbbaccbabaacccaaacbcbbbacbcb
+aabaaaacabcacbbcaacccbabbbbaccbaacbbaaaaacbabbabacbacaaacacbbbbbaacaacbacaabbbcacbcb
+bccaabcabbba
+cbccaaababcabab
+cabbaaaaabbccaabcababaccbbbacabcaacbabcbbbbaacabaaabccacaccbabacaccaccaabacbabbaccccabbacabcbcaccbbacab
+abccbacabcaaccacaacaccbcbcbcacaaaacaabaabbaacabacacac
+acbcbbcbaacaaacabcbaabacaaabccaccccccacaabccaacaccaabbaaaacaaccccaabbbcaaabaaaaaaccbacbbcaacacacabbcccaaccccc
+bbccbbccabbaaacabcccbccbbababacbbbccbcabccccbcbbbbcbbbcabababbbccbbcbbc
+abbbcabcabcbccbcaaabbabcacbacbbbbcbbcbabbbbaabacabac
+babcaabbbacabcabbccabacccbbaaaaacaaabcbabcaccccccaccba
+bcabbcbcccbaaccabbaacbcaacaacbbcbabcabcabbbbcbabbbccbcbcbbaaaaaaccbbbccca
+ccacbcaacaababcacaaabcabcaccbbbabcbcbccacbacbcbccbcaaaabcbbaccaccbaabbbabcaaabbbaacacaabababcbbaaca
+bcbbbabbabbabccaabbaccbbaaabccaababacc
+cbcaccbacbabcbacbccbbccbb
+aacccabbaabcbabbcaaccbabbaccbbbaccbabaaaabbbbbbbcabaaabbcbaccabcbabccaabcbbbcbabcabbbbaccbbbbcccccba
+baccaccbcccababaabbcabaaacbcbabacabaaacbbcbbbbcccbcacabcbbcbabccbcaacbccccbcbcbbcabbbcbabacabbba
+abcaacaacabbbbccba
+ccccbabacbaaaaccaccbcbabccc
+abaabbbcbababccbacaaaacaaccabacababccba
+bbbcbbbcbccacacbbacbccbbbabcccccbbbcabbbcccbbcbaacbcbcbacaccbaabcaa
+acccbabbccbbbaaacaabbbcbbabaacabcacbcbbabaccbcabaaaccbcabbaaabcabaacbbbcccabccbbbaacccaccbaacbabcb
+acbcacbcbcbacaaaabb
+bbbbcbaaaabcbccaccbabbba
+aaabcbcbbcaabaaccababbcacbccabcccabbbccccabbbacbccbbbbabbaaacaabbbcccbcbcbbabaaaabaca
+aaccbabaaaaccacbcbbbbbcbcaabbbbbacbbcbaaccaccbaabacbbbbcaccbbc
+abcacbbcbaccabccb
+baabbbbcbccacccabaaacbcb
+ccaababbaaabbabbcccaaccbcbc
+abaacabcbaaacabacbabbbabcaaccabcbacaacbca
+acbacaabcacabbbacaacabbbcbbacaacccabaccbbcbacccbbbbbbc
+ccbccabcbbcbcbbbcccacccccbaccbaacabbcbbaaaaabaaaaaaccb
+acabbacccccbbaacbccacbabaacaaababbbacbaaaabcbbbcabcaaababcabccbcabbcbbcbaaaa
+cbbaccbbbcabcbaaaccbcbcccbacbbbabcbcccbbcbbbacacbb
+acacbbbaabbabccbabbbbbbbcaabbbabcacaabbaacbcaabcbcababcccacbaac
+acbbbccaacccabcbccaccbbabacaccbcccccbabccacabcbbabbabacabcaaaaaccbabaccaacbaac
+bacacacabaaabbabbaaaabbcaccaabaaaacaacaabbbcbaaacbbcaabbcabccaaccaccccaccacbbabccacbbaaaaa
+bbccabacbaca
+abacaccbbbcbbabbbbacacbccaaccbbbbbcacacbcbabbcabbbbccacabaaacaccbccccaabbcaabcbaaabccbbccac
+bcbcaaccabcbcaccacbacbabccbcabaa
+bacccbcaacbbacbaaaacbbbbaccabbcabaacbbbababbbcabaacacccababccccbcbbbabbcabaccbbababccacaacbccaaab
+ccccbabacabcccbcbacbbcbcaaababcabaccccbbacccacccbacc
+babcabaaacbbbccccbcbbcaabaabacacacabacabaaccbbbaabbabbacabcaacabacbbacabbb
+bcabababbabacbbbaaabacabccccaaaaabbcaabcabaccaacbaabcbcccababcacaabbcccacabccbcbaaaabbbbcbabb
+bbababbababbacbbbccbabbcaccbcaabbcbbaabaa
+acbcaacbaccbcbcbbccaccbaababbacacbcaaccaabbbaccccaabccaacccbcacccacaacbbccbb
+ccbababbbaacacccabbabcacabaccbacabaccbccaacbcabbacaabaacacbbacccbcaaccabccc
+bacaacbacbcacb
+cabcabaacbcaaabcacbbaabaacabbabbaccabccabaacbcabaccbabbaaaaacca
+bcccbccabaab
+acaababcbbabcbcbcbcbbbcacccbccbaccacabbbcabcacccabaababababcaabcacac
+aabcbccccaccbbbbaaababbbcabcbcaabbaacabbbaaaabaca
+caabaacbababcbbcbccbcbaaccccbbaaacbabccccbcccaabbaccbc
+acbbcbacaacbbbbaacabacbabbbcacbaaaacabbbcbaaccb
+caaaacacacbbacbbacaabcbccbbbaaaababbbcaccaccbcacbba
+cabbcabbcabacbaabaaccaacabccbabbccacacabbabcabbacaccbcabbcbcbcabcabbcbacbcaccccababbccaacababbbbcbac
+cccbbcaaababbabbabbcccbbacbabacaa
+bbacaabacaabacbcaccaaaacbababcbacbabbcbcccabbcababbbbbbacababbaabcbaccabc
+babbbcbcababbaccbbc
+acababbbabcbcbacbacbacacbaabbbcab
+acbbbacabcaababcbacbcacbbabbabaaabcabcacabacbbcacccbcbccccbbcaccbcccbbaccaabbcbabbbbbacbaabababcaacaabbbbc
+aabbbbccab
+ccabbcacabcbbbbaabacab
+baabbbaccbaaaacbcabacaccbbcaacccaacbaaaacbcaababbcbbbccacccaabacbcaacaccabcbcbcbcaabbaabbacababaacbaacba
+bbabcccaaaaccccbaccbbbccbbccb
+bbcccccaabaacbccaccabcacbbbbcbcaaccabbacbbaccaacbcaaacccbaccabcbbcacaacaccabbabcbaccccacabcaacbbcbcbbcacbbb
+accaaccaacaacbcbaccccbccacaaabaacccbbabaabbbbcacbccccbaacaaabcabbabbababbab
+bbbcacbabbababbbbbbbaacbbbcbcabbcbabccbbacaaccabaabbaa
+baaaabcbaccccbacaaaccccbaccbbbbabbbbabababcbcbababbcbbccaccabbaccccabb
+babbabbbccabbbccbbcbcbbaccbaabcbbcaabccccbbacabbaacaacbbcccccbcbccabcccacbbcbbaccc
+cabbaccbbabbaaaacbbbcababaacabcbc
+bcbbcbcbaccbbc
+bccccacbacaacaccababcacabcaccbcbacacbcccabcccccaaccacbabaa
+aaccabcaccaacacbbccbabcbbbcbabbcacbabaacba
+cacaaaaccaabacbabbacaccacaacbcccacacaabaabbacbaaaacabbaacbbcacaa
+bcbbcaababbaaccabcccccbccacbbbbbbcacacbccbbbbbbbaabbcacbbc
+aaaacabbcbbcbcaccbabbbbacbabccbabcc
+abaccccaaccbbbbbaacacccabbbbccccbbbcacabcbbbabaabbcbaabbbaacaccabb
+acacbaacbcabbabccaaccacccbbcabbccaabbab
+cccbbcbcbaabbcccacbaacbccccccbbaacbbbbccaa
+caaabacccbccbbcccabaabbccccabcbbbabcccbbcacaaaabbbabacccbbbcacc
+baaccbaabccbbcbbcbbcaccbcaccbcaba
+acbbbccbabcccbbcaccaabaabcbcaabaabacacbcacbabababbcbbbcccaabccabcbbbcccbabcacbbcbbcbacabcbccccabbccacaa
+cbcabcacbabb
+baccaaaacbaaaccbcaabacbbccbcbaabbbbcababbbcbcbbcbbbbbbc
+234 152
+bccadbadcbabacddaddabadabdaacbdcddccdbababccddacb
+ddbccbbcbcddbacdabdbbbcdddcdcacbcbabcadacdddaaddbcccdbcbabddbaabacacabddcbaabbddacbadcddaacccbddbadbabaa
+ccdddaaaadaadccbcccaaabcccdbdbcdaddbbcdcaadadababcbaacccbbdcdac
+ccddabdcbaaadcddcbccadbabbddaabdcbcabcdcdcdabd
+bcaddccaacdcbbbdcdadcaabdcbcbcbaddaccaaacbdcdbcabddbcbbbaccccdbddbbacaadcbacbdbbababbbca
+dbadaddaacdabcaaaabccaddcb
+baaabaacccaccdcbdbadddccbdbabdbcaadcdcacbcbdabcbddcbcbcddcbbbdbabbdbccdbbbddc
+acacbcbaabbdddaddabcadccaaddbdabacdacbdbbbbacdbdac
+adaabbbcddcdbdbabccddabaccccdbdcccdacdcaaabcddadaddbaacccddcdddbdcdcabcdacbcdacbdabcbaadbbbac
+badadaccddccdcbdaaaacaacdcdabdcccbbbcddbbbdacdbadcbadcaaabbdbdddccdbacd
+aacaabcbccacdcabdaddada
+bcbbddcadaacdcaacaaaacccdccaadddbababddcaadbaddcddab
+bddbbdddbccdabbbdddadabbacddcc
+cdadadaddbddbcdacbbbdddabdcdcdbaccdbadddcdacbacbbdaacdb
+cccacdbdadacbdaabcbbdbbdbcacdacdccdccacccdcdbbaddddadaabcdcdbaaabdabca
+dbbcbcbadaaadcbbacaaddcdabdddbacbcbcababadacdbabbdc
+cbcbaccddbadabaaacdcdaacbcdcbdaacacdadbbcdabbadabdcdaba
+dddaccccadaadaccabaadbabcadacabacadcbddcdaadbcdddda
+cbcddaabbdcabaddcccdcaabadabaddcabaabbabcdaaa
+badabddaabddcbdababbcaacadccccdadad
+dddbdcbcabacbbbbbbbbddacaaddcbdbbbacdaddadccddabbacdabddaddabbaaabaadbbbaccddbcbbcaaaabdddddcdadbbc
+dacdcdbdbbabadcaabbadddddbaabcdccaabacdaacaaaccbacbbabbadcaabdddccbcadbbccccabaaadccddcd
+cddbdaabcaaabcaadbaddbaadaaadcadb
+bcdcaabddbbaddddbabaccdcdbaacbcbcccdaddbbdbaadddccabdbbcbcdabbddaabcadcabc
+acdadcccacdacacccddbbbdabcadabcacdacadbabddadadbbddcdcdadacdbbbcdbdcdcbdddc
+dcaccccccabdabcadabaccdddbccdbdadaacbaddcabddabbadcccaccccbdbbbcdb
+aaccbaacbbcdcbbaadaaabcabcbadadacdcaabbcccbbaddcaadccccaccc
+bbdcccdddcbdcddcbcabbbdbdbcadbabbbcb
+dbdcbaaccdcddccdcadbabccdcadbbbbbdbdcacdcadbcdaacdabdbbccdcaaab
+abcaabcaadccdccabadc
+dcacccdbdbbdbcbababccdcccddccccccdcbdacbbddabdbcacdaabcdcaca
+acbbcdcabdacabdaadabbbddddadcccbaacccaddbccddcbddbcdbbadbdcbddccbbbccbddadcbbaccaadbcb
+bbdcbbacccbaabcdccbcdadbbbdddcccbcbbcddaddbadbbbccbbdbddada
+badbadadbdabcbcdbabbdaaadacbbcdcdbcdabdbccaabaaddbdcbbadbaababcbaadad
+cbccbbccccabdcdcccbabbcabacbcbbbccdba
+ddcacddbdcaaacbdcbcdaddccabbacaabaacaaaccabcadadddacdbbaadaddcddabccdbddbccbbdbddaccbdcaadbcadcbcabcbbacacb
+dbdcddbacbbcccdcdbadbbddccadbadbccadcabaaababdbaddcabdbadacaabcccddadbdacaacacaccbccbdacdbcaaadccdddbbddcdbcc
+aaaccacacdcabbabaaabaccdbcbddcbaacbddcdccacbacda
+acbbadcabacbbcdabddcbcdbaaacdbbcbdcccddbacbccbddddbdadadcdbccdacbcbdaccdbcbcacbcaadcabbaabbcdbcccdbccd
+bcdccbdcdacaabcadbdaabbbaabccbcdacbbbbadbdddadbcbadaaadaababdbdababdbddadddabcadcacdcddadbddbacaacbda
+dbbddcaddddaccdccaaaabdcdbacdcaaddbcaadbcbacabbab
+ccaabbdbabccacdabddbdbcadcdaddcabcccbdddcdbcaabddadcdccccaadabadbcccabbbaacbba
+bccdcdcbccdccddbbabababccddcbdd
+cbbbddcccccaccbacaddaccbbcbdccdcbaacbabcbaccbccbddccccbcaaacaccdbd
+ccacbcddbdadcddccbaaddcccaaaccaaacaccbaddbacdbbbbaaadab
+abdacbbacddbcbbaacaa
+cbdbbcaabcdbaccdacbccaaccdccacdcadcabcadbaadcbdadbaacbccddcadddbdbccca
+cdaabbaccacdaada
+bdaadacacabccbcddbcbbcabcddddaacdcdddbdabdcacccbcababbaccdcdc
+dcbbddccdbaddcdbbbbdddbbcbcddcdaddbcccddbdbcbdbadbddccaccdabbdabcdaa
+cbddaadbaddabbcbbcddccbdbbdaadbaccaaadaadadbccbcdbabadcaacdcacdacdcddcaccabccbbabdaddabcacaacdbdddbcbcda
+bcbaacaadcaddcaddacddadbaadbaabbac
+abbddcddaabcabacacabdcadbcbdcacbdbdcabdbcaabccbbabbaccadbadbbbcdcbbdcaabbddc
+aabbcaaaaaadacdcbcadcbbacddcbcaccbbbbdbabb
+bcbbbcbbbaccddabaccdbbcccbaaccb
+accdccdaaacdbdcbcdcaaacddbdadabccaabdacdacdcccbddcccbbcb
+bbcbadccdcbaabcacdbaaddabacacaaabdbcacbccdbaccaaabacdbdaacdbddd
+cdadddbdcdcbdbcadabbadbaadbbcbbaaccccbdadaadabcabbbdadddbdcbbadd
+abbabaddcdaccabaadaccbcbacbdaddcbadbbdbbcccbdadbbdbdcddccdcbcdcbabacacccacbdbcbcc
+aaadadadadabdaacccbdcdccbaa
+addcdddbbaddcdacdbbcbababddcbacacacbccbbaccabbbdbdbacbddcbcabccacbcca
+dcddccacdabdaccbcccbdddcadbbbcbbababcdcbdcb
+adababaadababadadadbabaababdbdcaaadcdddddbbaddbdcacadacbacacaa
+cacdaacccdcddaabaddaddcbacbbdcbbbcdddbbaddadccdcbdcbaccabacbcbbdbcadb
+dbdcbcddaabcdccbbcabdabcbcdcaabacdcdabbbcbcaaabccadbbbdabdcbbbadccddda
+cadcaadccdddcaddbdbccdcacaddbdcaddabcdcdcbcdbccbdcbdbdccccdaacdcccabdbaabbaacbdaddcbddccdbaadacbbda
+cbbdcbaacbccaccddcccdbacabddbcdbcabcaabbdcdcbccdddbcddddbbccdabadbabbdbc
+aaddddbbbbcbcbaca
+dbbddbbdbddaacbbcabacdcbbabcbdcaccbcdabdddadcbcdadadbccdaaaacaabcadcbbcabcaadcadcabbbabdaabdabc
+bcbacaaabccdbbdddbbcdcdbacadacbacbab
+ddcacbaaaaddabcacabbadcdcbadbbbbaccba
+cadbadcdaccdbdbdddbbcccdbcbdcadaacdcacabbacbaddadbadcacdcdcbabcdbddbdbbdadabcadaadadbbc
+ddabcbdcbdccdcaacbcdbbabcbbcabbbdbbdbbccdbabbbcaaaabbbdbadabbbacaddcbcdaddcacdcbcddcdccbcccdba
+bcaabadbcbacdaacbccbdcddccbdadca
+cbaadacbbbddcbbdaabcdaabacdcdbdccabcacddaacbbaccccccdaabdabccdbacacbcdcbadcbddcbacbccaadbbcdbbbaaddbdabccbac
+abbdcccbcbddbdaadbacadcbab
+cdcdaacbbaabbddbabbddcbaccaabcdbdbcbbbdccddbbadcbcdccbabbdacabddbc
+ddaddccadbaddcbccbddbbdcdbbcdbaddbbcbccdbcaccdbcdada
+cccdbbcaacbcdbdbababddabcdacaaacdbbcdcdccdadacbddcdbbbadadcbadccbbcddddc
+dbccbbbcbdcccccdcacbbddcbcdbdbcababcacdccadbccabbbbbabdcdaaaabccd
+ddbdccbdbcc
+cacbcdcbbdcadcdccaacdcbcddbdccccbaabbadbcbabadaadbcabb
+bbabdcbacdddbccdcabcbbabaccacbcaddabadbaaccabcabaacddadbcbcdccaaaddca
+daabcadcdabdcccdbbcbabddaacabadcccbaccdbcccdadaabbbbcdddbdbaabaaabbdaadbabbdcabbbbcbdabcaaacdaaadcddcbdad
+bcdabadbabdacccbdbdabaaacccbaabdaaccabaacbbcbdacbddaccabdddbaadccbdacdccbcaadcccc
+babbabacabccdbcacaabacadccbadacdcbbabaadcbcadbcacacbcdbacabaadbdbacabacbcbbccdbdddbdabbbbadccdddbadcdbd
+cbbacacbacdbdadadcdbdacda
+daababdcabbadbacbcdabcbcddbaaccbadbacdbcbccbaadddcaddbcbddbccb
+dadbdcddbbdcabdadddbdbbacccbcabdacbbbdbbcddaddbbdabaadbdaabcdaccabcdadacabcddcbddacdadadbbbacbdccadbcbdb
+cdcdccacdaccbcaaacadabacbdcccc
+cccbcbadcabb
+cdcadbcdbbcaabbcadcadadbcbcdaacd
+cbcaaacacaccddcddcbbbacccbddbbabdcbadbabbbaaddccadccdcaadcdbbbccada
+bbddcabcbdccdbabcdabaaddbbdbbdbacbacbcbadaadcabdbaaaccaccbaaaaaacabdbbcaaabccabaaacdaabcbabcc
+baddbdcdacccdbcdccbbdbabddbbabcbdbbabadabdbabaabbddbdaacaaabbabbdcbcddbbacdbdbdbbdcaaadcddcdcccabbadb
+bbcbaadcaabbcbacdbaabcaddbbadbdbbdcbb
+dcbbaadbbadbdcabadacdbccbddcbcbdbdaabadbadcdbbdcdcbbcd
+cdbcadbabbdddcccbadaddbdbcacacbbcbcbccdcbdcbdadcadcdaacaccbdabbcbdadaddcccbbdadbacdddbbccd
+bcabddcbbcddcdcdcdbbddabbacddcbbcaabcabcbcadbdbccddbddacad
+cdcdcaacadcabdbcdabbaaadddcadd
+dcdbbbcddbdbaaabbdcadacbdbcbbcabdcadcbcddbacaccbaaaab
+cabcaccacccaacadaabcaabbdb
+cbdbdbbaaacadabbdcccddcbcaccaabaaaadcdaadcdcbcbdaccbdabcabbabccaabdabacbcbcaa
+ddbbdcdacdadbcdbaddcbbbbbca
+babadabababcaaacdbcdabcbbccdadddccdabdadacdadccbd
+acacaaacdadcababacdbbacbcabbcdcdabcdabddcdabacadbaaddcaacccdaacaacddaabcbbcddccabdcc
+bbabccadaddaccdaacccccbaacbbadbdbddbccabddb
+bccdabcdddcabbcbdaccdadacdadacaadbdadbaadcccbdddcbdcbdcbdcdcbcaabda
+bcccbabcdababcaaddcacababddbdadaaaacbcaadabaccdacbbadbcbcbacadbdbdcaadadcbbcdaccccb
+bbacbbddcacbcadcadcabcabacaaccccbdbddbdddbcdaaacbcaacbabbaaacbcabcadadacdddaacadcacadcadbbbcaacbdcbbbbddababd
+acbcdcaddadbdaddbdccccdbdaadbccbcbacbadaddadadaaadacdaccbcbdaadbababcaacccc
+bdabcdbbccbacbbdab
+bacaaaddbbcccccdbbaabcb
+dbaddcbbccddbcdddcbacbcbadbcdbccbcccbbdacbccacabbbacaddbadccbbdbca
+bcaabacbacbddaadbcbccbacabaddddacabcbadaababbaccacbdbccdadbbbcacdddcbcacdcbdbcdcdddbadbaaacbacacc
+dcdccaadabbbabbbbcabaadddcddadaadcadabcbcdbbdbacdb
+bcbcaccdcdaacabadcbdbdcaddccbcabcacccdcca
+aabbaccbabaaabcbacdadcbcbadcdcdbaaaaaaaacaccabbaabddddadcbdcddbadacdbddaadabdbaabcaddbd
+adddccabdadbaddabcdccbacabadbcdabcccbbabbcbbbbbbaacdcdbcdcbbaadcda
+ddcdbbbbbbcdddbccdabaccccdaddbabaaadbdaacdaadbabbaacbacaccbda
+abbdacccbacbddcb
+cdadccaaadccaaccbbcadddacbdbacacaabaacaddcddbdcaddccdaaaddcbcbcaddbcbdbacdcdbbbacaadcadcdaab
+bcdcbdcbbcdcdcbdbacbadbdcabadacaccdacbddacaaacbadd
+dacaccabbbdddacdbbbaacdaaadbbabccbabaabdddcdbcbbdacdddbbcaabdbbccdccdbaabad
+bbccdccbdacbcccdacdbacbabddbdbacdbcadababcddcaabaccdddccaaddddbbada
+baaadbcabadcdbdabdccbaddcaccabbdbccabcbaacba
+abdbdbcaccaccdacacbcaccbadcccccbadacbdcabdabaadadacabcadcbbbdadcaabbadbbddddbccaabbabcbcdaaaadaccbcacd
+bddabdbabaaccbdcbddacadcdcdc
+dbacacdbddd
+acccdcdbbdcbcbdcabcabddbaddbdaddbbcdcbdcdabdaacdbadbddccddadbbbcdccbabacaadadaccbadaadcbdcccabd
+ddadbdddbbadacaddabacaadbcbccbdbbacbdadbadcabdbbdccdbdadcbbacacadcbaacbaccdbcdbdacbabccbdadd
+bcaadaccdaadbabcaacccdbbbadaaddbdaabdbadbacdbbcabdbcddbbdb
+babdbdbdccadccdccdcdddbbbdababdabcccca
+dabcccccccabaadabccabdcdccbdbcdbabcaaabbccbcbb
+dbaaacddcbaabacdbaacccadcccbcadddbaddaadbdcbddc
+babdbdcaabbcdabbcbdbaacdbaaddbcadacbcbdadcdbabccababbba
+bbbadbabaacaaaaadbacbbadbaababadcdbacdcbbaabbbdbabbbaadcaabbccbcdcbadbbbbababacbdbacdcbcbbbbcddbdddca
+abdacbaacbdcccbcdbccacdbbdcaabbccdcbdaacddaabdccaaacbdacbaad
+cbcbcccccdaddcaccbcdacabcabbccbddbdddcacacdbcddacc
+bccddcdcdcbbdcdbdcaddddabacabdadadcddbcbdcbadccbcbcdacabcaadbcbcadac
+caaabbcbbbcdacaaacaabdcbabbacbcbdcdcadacccbabdaccdcbaaccdccccdadacb
+bacbbbabcaadaaacbbc
+accdabbababbbcddaddaabbdcdbccd
+babcdbcccabbd
+abdbcadaddabdaadabdcbbccabbdccdddabddddabbcddadcbdbaccabdbaadbcaccdbccabccdacddcabbaadcbbcdab
+badbabbcabcbbddaabaca
+abdbbadbbdaadcbddabbbcdcddcbdcbcdaddbddadbbbdbcddcdbaacbdbaddaadabcbcbacaacbbadacccacccadccdcbcbcbdd
+acaccbbbdaabadbccbbcdcddacadcabdbdbbaacaddbbbdbcccdbacdbdcdcdddbabcaacaddcdcbcbbabaddcdbdbbbbdddcacdbbbdcbdb
+ccaccbaaacacacbcacccaddaccbabdbccdbcaadaccbbbcbbdaadddcccaacaadabbadbbda
+dbadcbcdaaaaadbdbabdbabcaabdbcaddcdbbdcbacddcaaccadbaababcbdcaadbdbcddabbbaddadbbdcbabcdcdaddbdccdb
+aaccaaadabcd
+dcbacbccabbdbccacbbabdddabdacdadba
+acbdbadaaaadabdbabdacdacabccaaabdbabbbbacabcdbbacbbbbccbbcacacbcadabdcddaddaaabdd
+dcabbdcbdaddbacadabdcdcadbcbaddbcdcbadbbdbdabbadbdcacaddcaadccdcbbbbbcdaaabbcdacbbacaccabad
+dccdadaaacadbbdcccb
+dcacbaadaa
+cadddcbabdddccaacbaaddddbcdddbabbabaaadbcdccadcbabaaacbdcdcc
+dccccbcdbcddabdacddcbadacccacbbabaccbcccbbcbbbabacbbabaccdddcbdbcdcaccddbbdbdcbcacbdddc
+ccaddadcbbadacccdbcbda
+dbbcacbcbadcccdccadaccabcbaddacdaac
+bdbdadddcbcccadbcabaaccabbdcaacdb
+cadacbcddcbdaccbaacdccbbacaadbaaddddcbaccbaddcdaddbabdbaabbcacccdccdbaacbbaa
+aaaddcbbbdabcadbbcadbdbaadcaabcbdbaadbcccaccdcabddbabdcbaccaddccdbcddadacacacaababdccbddadbbcdcabbcbcd
+bcaaadddccbdbbacccabcbdbba
+cdbcbddbacabdbabdbadaacbbcbdbcbddbbcdaad
+ddbdabdabaccaaccccaadabdacbdbcbdbbcddccbbcabacdadbabdabccbcddabcacdcdaddbbddbaaaaabcbca
+adbdcaddbbcaaaccbadddbdbddbddabdddcdcbbdbddadb
+bccdbadbaaddbcdccddcbbcdc
+dbaadcaaadaacdbcbacbaaddac
+acaabdacccdbdbaa
+cbadaccdbbabaadcbccdccdbadadaabadbdabcccccbcacbdacb
+babccdbcaddddbabbcd
+dbaadaaccacccaaadccddbbbdcdadaacabcbadcbdccdbda
+dcacbbdccbbbaaababcddbcabdccbccadacadabccdabbcddddccccdadacbcbbacc
+dccacdddcdadbcbacbdcbadcdadccbcbbcacccadddcbacabddcaccdbcdcdabbcbaccdaadcb
+cbacaadbaa
+bbabacbabdbbcbadcacdbaacacacbbcbbad
+cadacdbcabbbcddabaababbbaacdadaccddaadbabadcaddbdcddcbdbacdabcbababccccaadcdbbcabcbadcabcdcab
+bdabbdbabddb
+dbddacbdcaccababbdbcdddacdddcdcabdbcaaacbcdd
+cbacacbabdccbcddbbb
+dbdbdaadbaacbbccabdccdbbdc
+cacbbaacdbacdbbabddadcdabaaaadcdccdcdbdbbacbcadccbabcacabadbdddbdbbadbbbdaabbccbccaababbbbbdcadaadbbadddcca
+abaabbaacabbabbaabdacabd
+cbcccbadabbbacbccabbccdbababddccda
+accdcbddbbacbbddbcbdbccbbccabacccbcaacdbcaabdadacca
+bacabdccbcadbbdcdabacbbbcdacdcdaddbbdbdbdbadcbdaabacaddccadbbbbcdbdaddbcdcadbdcabdcabaa
+babcbdbcdaaddddabaddabcdccaabdbbcbbcdbcabaaababbadbdbbdadbbbad
+dbbacacadabaddbccbaacbdaccc
+cdbbdbdcdddacddbcabcbdbdcaabbdadbadabcdaacabddccababaababdabadcdcabdcccaaadadaccbaacbabaadcbcccbbccabacb
+daabdbbccddbccbdbbcbbbaccbcdadbdbacc
+dcbabcbbaddbaddbacddabdabcdcadcadbccdcdcccccbbacaaabbbbbcbaaccabdcaabcaddcd
+baddcaccbbadbbcaaacdbbbcdbbdcbbaccddbddacdccadddacddcdcccdbbbaaaccaaabaabdbddbbbdabbacbdabcbbd
+aadcdacdacacdbdbbaccbdacdaddddcabbcaaacdaababcaacabadacbbbbbacbcadaadbaaad
+acbccaccbadacbbdaabbbbdcbddbbbccccdbadcaaacccbcdbcabcdcacdbbdcc
+cbcaabcabaabcdacd
+bbbadbcdcdaaabcdcdadaabdcabdbcddaccbaacdbda
+bbdddbdcdbbdb
+bccbccdcadbccbaadaabdabbdaddbdbcccdcbaaaaccabbccadacbdbcabdddbcbdcbbcbddbbbcbbadccbbbcbaccdcddadcdbbbcccc
+cdacacddbacacbbcdadddccbacca
+bcddbbbdadbcadcacdcdcbccacdccabcadacddbccdacbcadbacdabcadabaacdbbdcdaacc
+cbdaacbbbbcbbdbcbabaccadccdacbadbbda
+ccbdadacdcdbbbaccaacbacacadbaaddcacabcabdcbbcdcdddacdbadcddddcaacdaacbacbaacbbdcaddccbcbc
+cbdcdbaddacbbcdccdbacccdadbabbdddaaaaadddacdbcbdadbcadabdcadacdcaacca
+aaaaadcccbcbbabbbcdbdcadadadcbabcbdaabaadbdcbdbabcbaaacbbaabadbcabcddbacbcddcaabbdbcbadccbbbadaabdabccbabbcdd
+acaddcaacadbcadbacdcacbbbacbdbadbadcbcdcabdcddbddcdbbaadacbcbbbabdbbbbdbddacdccddaaadcdbddadcdab
+baacdddaabcadacaddaaadbadbacbbdcacbacdcbdabdbdcaddcdabcbaabadcdbdaadcadacbaacabbaabbbcaccbdccbaaaccadbbcdaccb
+daabbbbcacaccdadcd
+abdbbdddadccadaddaacabaabbaaadcaabdaccdac
+dacbbdbdbbcbcbbbdbcbccdbddddccacc
+cdcaabdbccbbdbaccabaabdddbdccaccabcdbcbcbdcacdaccdcbadddaabddbdbabcdaaccddcaabbcdaacbcdacddcdccabbcbcdcccddb
+dabadacbdabbcdbacbbadbbbdcbcdcbaacaccababcbdccacdcbbabcbdcaabddbdacddddcdddbdbacbbdcc
+cbbcccabddcaccdcdaddacaaccccaaabcdcccaddcccdcbacbccccdcaabadaadad
+cbdccccadcacdbcabdbbaaaccacaabbaabaccddcadbabccbddcbacc
+cddddddbbcccdddcbcdabadbcbaacccadcacddddadddccbadcdabcaccbdcadcbadddcbcbcacddabbcdcbbdcacdacbcbdbaaaddadcbad
+cdddbbaccdbbbaaabdccbddbcacadacadbadcdcdabaccddbbcbccdaacbcadbaadadbdcabcaccbacdbcdadbb
+bbbacacddbacbabbdcaccccaccbbaadaaabcaaadabdaacbcdbbaaddcdcbcadbaccbbadccb
+cdbbaacdbcbadbcbcbdabdbaaabbadcabbcdbbaaababbbbaaaccdb
+bdabaacddddbabcaccdbabaddcacdccaadaaaacdabcdaaaddcacbdddbdcaddddbbd
+cbdcdbbaaacaacbdbcdbbbddcabdddbaccaabcbdbacaacbbadcddcdcababbcdd
+cdddccdabbbdcadacbabbcbadaa
+dbbcdadacdbbbaabccabbccdbcbbddcbcdadacbbdaccbacbcabcbdbdabdadccbddadbdccddacacb
+bdacbcbdbbdbaaddbbcdaddabbddacdcdddbabbbacdcaabbaacddacccddcdcdcbdacdabbd
+dabadaabbabbdacbacbdcdbaaaadbbbbdacdddcacacbabcbadd
+dcaabcdddabdcc
+daddcbaacbcdcddadbcdbccaacacadadcadcbccbdadcdaaacdbddccaaadaabccc
+cddaaabadcbabbbaabaaddacb
+cabcaabbaaaaddaddaacadbcabacdbcddccbbbadbbbcacbbbbdacbacda
+abbcbacdbbaaddcbdacacbdd
+cabadcccbbdccdadcdbbcdcbaaacbbbcaabadbddccadbdaddcdddacdddabdbcccadbdabcddcdabccaadabccaccddccbcbdbbabbbacab
+aaacdbbbdacbccbbdddccccaddcbaaddbdd
+dabdbbddabdaddccacaadbbcdccabcdcdcdbbabacbadaaabaacbbabaaacccadadcbcacccdabbdabcdabaabcbcbbbadddb
+cdcbdddcadbadbbcbdbcaaabdbaab
+cbcacbacbcdaacadacbdbccdacdbaabdbcbddbcbdaabbadbdddaddcbbdccaaab
+18 3
+ccbbcdccdacbcdcdbdaaacddbbdcbaddadccd
+babdcdccbdaaddcbcc
+bdcabbbccaacaccaaacbdcaddabbbabcadbadaadbcdaaabccdaccbcccbabcbbaaacddddabad
+ababbcbbadbadcdcbbbdbcdacabbcbbbaadbaaddc
+cadcbbbbcccbabbcbadcdcdcaccd
+cbbaabdcdbadcaadbaab
+adcdcdbcabbcbabbbbaaaddabcbcbdcccddcdacbdcaaabaddcbcbccabccaadbacddaacdddbbdcc
+abbbddacaccdabcadaabbab
+dbcbddacddbddcddaacddabcadc
+dbadbadbcaadcbbdaacdcaaddccbaddbdbcbcd
+cdccddbadaabbbdcdcacdbcdbcb
+dbcdddabbacdcaccaacacdcacbdcaaabdbccababbacaacaabbddabaabdddabcdbabcd
+cdacadabdbaccbddacabaaaaccdbbadbabcacbadcdccdcaacadcacdbcdcdbbccbbbcd
+bcdbabbbbabddcbad
+acbccaabacabdbaabcccbdacdadddcacbdbcacdbaadcbdbbbbabaacddb
+cdddadbcdaadaabcacc
+addcbbccaddbbabcbbdacdbabdcccacdcdacbbbdcddcaacbdbaaccbcccbcdccbcbaadc
+dcddddaaddabcdaddccccdbaacbbccacddddcccdbbbaadbdbcaaaccbdacadbca
+63 2
+aaaaaabababbbaababaabbabbabbbaabababaaabbbbbbaaaaabbbaabaabbaaaaabaabbbaaabbaababaabaabaabbbb
+baabaabaaaaaabababbaaabb
+aabaaabaaaaaaabbabbabbabbabbbbaababbbaaabbbabaaaabaaabbabbaaaaabbbbabbbaababbaaabbbbbbaaabbbbbb
+babaaababaabaabaaaaabbabbabbbbaabaaabaababb
+baabbbbaaaababbaaababbababbaabbaaaaaabaabaaababaabbb
+bbbbbbabaaababaabaabababbbaabaa
+bbbbabbbaaaaabbbbaabaabaabbabbbbbbabbababbabbabaaabbbabbbabaababbabaabbbaabbabbaaabbabbaaabaabba
+ababbbabbabaabaaaaaaaabaaababbbbabaaaabbababbaabbbbaabaaaababbaaaaabababaabbabaaaaaabbabab
+babaaaabaaabbaababbaabbbbaabbbabaaabbbababbbababbabbbaaaaaba
+abbbbababbbaaab
+aababbaaaaabbbbaabaabababab
+aaabbbaabbbbbbbbbbbaa
+aababaababbbbbbabaaaababbbbaabbbababbbbabbabbbabba
+aaaaaabbbabbaaaaaaaabbbbaaabbaaabbaaaaaaaabaabbaabaaaabbbabaabaaabbbbbaaabbbaabbbba
+bbaabbbaabbaaaabaabbbabaabbabaabbbaaabbbbbbbb
+bbaaaaabbbbaabbaababaabaaababbab
+baababbabbbbbbaaabbbbbaaaababbbababaabbaaaabbaa
+abbabbaabaaaaaaaaaabbaabaabbbaaaabbabbaabbbbaabaaaabbbaabaaab
+aababbaaaabaabbbabbbbbaababbaabbbaaabbaa
+baababaabaabbbbbababbabbabaabbaabbababaababbbabbaababbbabbbbbaabbbababaaabbbaaaaababa
+aaaabbbbaaaabbaabaabaababaaaaaaaaabbbbabaaaabaa
+ababbaaaaababbbbaaabbbaabababbaabaaabbaaaabbbbaabbaababbbbbbaaaaabbababbababbabbbabababbaabbbaaababbbabbaa
+baaaaaaaaabababaabbabbbaaabaabbaabbaaaabaab
+babbabbabaaabababbbbbaaababbabbababaaaaabbbabaaaaabbbaaabbbabaaaabbaaaaaaabbbbbabbbbbaaaa
+abababbbbabbbaaababab
+bbbababbbabbabbabbbaaabbabbbbbaaabbbbbababaabbbbaabbaababbabaababbbaaabbbbab
+aaabbbabbbbbabababbaaabbbbbbbbbbabbaabbbaabbabbbbaabaabbbbabbaaaabbbaababaaaaaaaaabaabbbbbabbb
+aabbabbbaabaabbbbaaabaaaaabaaa
+ababbbabababbbabababbabbbabbabbaaabbbbaaa
+bbaabababbaaabbbbbbbaabbabbababbababbababbbaabbbbbbaaabaaabbaabbbabbaaaba
+abbbaabababbababbbaa
+bbaababababbabbbbbaababbbbabbbbaaabababbbbabababaabbbabaaababbbaaaaabbbabaaababaaabbbabbabbb
+aaababaaaaaabaabbabbbaababbbbbbaabbabaababbbbbaabaabbbbaabbaabbbababbabbbbabaababbabba
+abbabbbababbabaaabbbbabaaabaabaaabaabbabbbbbbaabbbbaaabbababababbababaaa
+ababaaabbabbbababbaaaabbbbabbabaabbaabb
+aabbaaabaaa
+bababbbbabababbbabbbabbabbabbaabbaaaabaaabbbbbbbbabaaababaabababababbaaababbaababbabbaaaabaabba
+babbabbaabbaabbaabaabaaabbbabaabaabbbbabaaabaaabbabaab
+baaabaabbabaabbabbaabbbbababbbaabbabbabaaaaabbababbabbbababbbbabbbbbabbbaaaaabba
+abbaaaaaababbbbababbbbaabbbabaabbbbaaabbaaaabaabaaab
+abbbbababbbbabbbbabbbbaabaaaabaaabbbbbabbaaabababbaababbabbbaababaabaabbabababb
+babbbbabbabbbabbaabbaaababbabaabaabababaaaabaaabbbbaaaaabaabababbabbababaaabbbababbaaaa
+abbbabaababbabaabbbabaaaabbbaababbbbaaaabaabbaabbbaabbabbabbabaaaabbbbabbbbabbbaaaabaaabbbabaabaaabbbbbabab
+aababbbaaabbaaaababbaabbababababbbabbabbbaabaaaaabaaaaabbababbabaaabbaaaababbaaaabaaaabbbbbaabb
+aaabaaaaabababaababbaabbbbbaaaabbbaabbbbbabaabaaaabbbbaabbbaaaaaabbbabbaaababaaaaaa
+bbabababbaaabaabaabbbaba
+bbababbabbaababbbabbabbbaabbbbabaaabaababbbbbabaaaaaababaabab
+aaaaabaaabaaabaababbaabbbbbbabbbaaaababaaaaaaababababbbbaaabaabbaab
+abbaabbbbbbabbaaaabbbbbbababaaaabbaaabbabaaabaabaaabb
+abbabbaaaaabbaabbaaaaaaaaababbbbababaabbbaaabaaaabbaaabaaabbbaaabbbbaaab
+aabbabaabaaabbabaaababaaabbababbbbbaaaaababbabbbbbbabbbb
+abbbbbbbbbbbabbbbabbabaabbabbbbabbbabababbaaaaaabababaaaaabaaabbaaabaabbaaaabbbbaaaaaabaabbaabaabbaabb
+abbaabbbaaaaababbbbaabbabbaababababbaaaaba
+aaaaaaaababaabaababbbbabbabbbbaaabbbabaaabaababbaabbbabbb
+bbababbbbbabbabbbbbababbababbaaaababbbaaabbaababababaaaabbabbbaaaaabbaaabbaaababaaabbbaaaabaabbbaaaaba
+bbbbaaaabbaaaababaaaabbbbabbaabbaaabababbbabbaaabbbababbbababbabbbbbbbbbbbaabbb
+aabbbaaaaabbababababbbbabbbbbaaaaababaabba
+aaaababbbbaaabaaaabababbabbabbaaaabbabaababbbabbbbaa
+abaaaabbbabbbabbbbaabbabbbaaabbbabbbbaaabaaaababbabbabbaababbbb
+abababbbababbbbabbbbabaabbbaaabbaaaabaaabbbabbbabbabaabababbbababbaabbaabaabbbbbabb
+babaaaabbbabaaaaabaabbabbabbaabbabbaabbabbbbbaabaaabbababab
+aabbbaaabbbbbabaabaaaaaabbbbbabbaaa
+bbaaaaabaabaaaaabaaabaaabbbbaaaaababaabbaabbababbbbbbabaaaaaabaabbbaabbabbbbaaabbaababbbaabbbbaabaabbaabbbba
+216 44
+abccbbacbaabcabbccccbccabcbbcbcbcaaccaacaacababacaabbccbabcccaaaccaccacccabcaacaababbacacbccbabcacaccccc
+bbccbababbcacacccacbcacaabbbaaacbcbccacaccbcbbcbcabbabbacc
+baababaaabccaabacccccbacabbccbbbccbaacbabcbbcabcacbabaaabaacacabcabcacabacbbacabab
+acbacbcaabcaaaaacaccaacabbbbbacaaaaabcbbcaabcaaacaabcbbcaacacababa
+acabccacacaaaacacabcbcaaccabbcc
+abbacccabacacbbacbabcccaccc
+ccabbbabababbcacabbbcb
+bcaaaabaacbbbbbcbbcacaccbaabccacbbbbbccaa
+aababcacbbbbabacbcbcacaabcbcabababcc
+abaacbcccaacaabbbbbaaabbaccccbbcbcabcbccbbaabcbcbcabaaacccaccbbbbabcacabbccacababbcba
+cbbcabbaaacbabcbcbcaacacacabbcaaacabcabccccacaccbcbccbcbcbaacbaaaaabaaa
+aacbaababbbabcabbabaaaaaaaabbcbbcacbabaabcaacaccccbaaccacbbababccbcbacaabcbbbacbaabcacccc
+cacbbbbbabbbcbbbbabbacabacaaaabacbbbabbbaacbcaac
+abbcbcbbacabbccababbcbacbbcaabbaaacbbcbaabcabcac
+babaabaaaaccccabbcbbccacaaacabbbaccbcbb
+acbbaaccbbbccababcbcacabbabbaaccccacc
+cbcccabbabcacca
+cccacbacbbbccababaabbbbcaababbcbcccacbbccbcbcbcbcacaaacbbbbcccbcaaccabaabcbaabbcbbcbcbbacbbacc
+acacababaccbbcccabaaaabcccbabcaacacbaccccacaaacbbbccbcaccbbbcabbbcaacacabbbbaacbacaabacabacbabcccababbbac
+aaaaacacbbcccbbccaaccbc
+accbacbbbaacacaaaabbcbabaabbbaccaaacbacbbaabacbbbbcaabccacacccacbaa
+bcacaccbcacaaaaabacacbabbaacacbcabcbbcaaa
+bcbabcabaaccacaaaccccbbbbcabaa
+aabcaaacbcabaacbaaabbbcccbcc
+abaabccccbcbcaabbaabbbcacabcababbbbacccccbccbacbcaac
+caaabccabcbccbbccccaaaccba
+ccabcacaaababacccccbcaacccbacbbaacbaccabb
+bccbacbcabbbccbaabaaacabcababacabccbccbacbbaaaccbbcacbaabacbbacabacaaabccbacacbcbcbccbabbccbaaa
+abaaacacaaacbccbcacbcacacaaabaabcbacbbbaacccbacaabbacacbcbabbccccccccbcca
+aababbaabcbbccccaac
+cbccabcbaabacccbaaaaabcccacaabbbcaacbccabbcaaccababbaacaabaacaabcbabcaaabaacacccb
+accbbccccaccbaccabbccacaacbbbcaabcaccbacbaacabbbcaaabc
+bacabbcccacbcbbcaabaaacbccacacbbcaccacccbbcbcbcaabbbbbabbcaabbabccbcbacbbbbccacbcabcbabbaca
+caccbacbaaccacacbbcccccaaacaabcbbbbcabcbbccccccbaaaabcbcbbcabbabbabbababaabacbcacaaacabbacabbcabcbcc
+aabcaabccaaabaabcccbaaacccbaabcbabcbbbcbabcabbaccaaabaccacbbaacabb
+aaccacccababbbccbbbcacbababbbcbbbbcaabbbbcbcbcbcaabbccabccababbbcaccaacbbbcabccbcbaacbcacacccabbabbcccbbb
+abccbacacbacbbaaababc
+abcacaaabcabbbacbbccbccaabacabcacbcabc
+bcacaccbbbabaaabbcbbcbccccaccabbbababcbbccacacbcbaabbb
+cabacaccbcaabaabaacbc
+baaabcbccabbabbbbacbacccaaacaaccbaabcccbcabacbccabbabbaaaabbbcacbcacacbcaaaccc
+acbcbabbaacaacbcbacbcaccacbbbbccbbcccaaccaacbcaabbabbbbababbbcccbacacababbbacbcbaabcabbcbbccbacbbbbaa
+bbcabbbbaaabaaccaaaaacbbacbbabacbbcbcccccacabacaacaaabaaabccccbabbaaababaabcaacabaaaaabbbbbcbbca
+cbbcccbbbbccccccbcc
+cbcbcaabccaccbabcbaacabbcbcbacbabbcbcbcbbbabbccabcbacbbabbabcaabbbbaccbcab
+cacbbcbbbbbbbbacbcababccbaa
+aabbbbccbbabbabbbabaabbcbcbabcacacbabbabacaacbbaacacbacccbccccbbbbccbcbbcacacbaaccccabbccbabaabcccacabb
+baccbaabaacacababbcabbccbacaacbbacccaaacbaacbbacbabccbbcabcaabb
+caaabaaaaabcacaaaacbbbbaacbcacccbbcaabacacbbabcaaabaaabcbbccbababccbbaabacabcccacbaabbbbcbbacbbbcbbc
+acacbccccaccbbbaacaacababaccbbbacabbccacabccccaaacbcbcabaaccabccaacccbacbcbbcbcbbccbcabbaccccaaccab
+cbbcbacbaba
+bbacaabbbbbccbabcaccacbbabcbbabbbbacccacaaccaacbaaccbbccaacaabacaaaabccbcacacbca
+abbababacaccabaacbcbbbbcbccacbaabaacbacaaacbabccabccaacccacaabaccbcbaaccccbccacccacbabbbaaaacbabbabbbcbaaaab
+bcbbaabcccacbbbbacbbacacabbbcbacbaaacabbcbabbcaacabcabbcbaabbcbbbaaac
+bbacbbaabcbcabaca
+cccbbacbbaaccbbbccabccaaabaccacbbccbccbacaaabcccccbbaacacabbabaaaccabcbcbaabccbcaaccbcbbcaccccccccaccc
+abaaabccbbbcaccbbacacaacacabaabaccbacbcabaacbbcabccabc
+aabacaacccaabbcbbccbccaacacbaccbccbabacabbcabbcaaaacaabbbabbacabbaacaacaccacaacaca
+bbbaabccabbbacbacacaccaaaababbbbabacabbacccaabac
+bbacabababcaababbab
+bbccbaaabcabcaacbbbabccabaaabbaaabacccacacaacccbacbcba
+aabbcabbababcacbcbcbbccbabbbbbcacacbabacacacacccaccabacbacbccabcbbccaababbcabccbbbcbbcacababbabcabbaa
+bbabacacaaaabcbbbaabbabcbcbcbbbabcaaaaacacabbcac
+cbabbabcacbaaabbabcbcaaacabcbaacbaaccccbaabacaacbabacaaacbbaaaabbbaacbcbbcbcaabccbbbbb
+ccabccbcaababbabacbbacccccccbacbccbcacbbcbccaca
+acbabbbacaabbcbcabbaaabcaaac
+acaaccbbabbabccbbbacaabaabcababcbcaaccccaaabacabaabccaaabacacabbcbcc
+cabcbabccabacaaabcbcbabaaaaccabaaabcbbabbbbabb
+bbacccccbcbaacacaaaccabbbbacaaabccbbaacbbaacbbacbcaacbbb
+cbacaabbbbbababbcbcbbaccccbaaccccccaa
+babbbacbbc
+cabbbbccacccaababcccccacbbbbabcccacaaccaacccbacaabaacbabccabbacbcbaaabcaccacabcba
+bbcccabacacbacbacabcabaccccccbabccacbbabbcccaabaaabbabbcacaacbccbbbaabcccaaca
+ccbabacacaacacccabccabbccccbaccc
+ccbcccccccaabcabaabacbcbabccccbacabbcccabcacacacabcbcaccabcbababbabacabc
+babccbccccbcbaccabaacabbbabaacaacb
+aabccabaabcbcbbbaabbcaaaabacabcbaacaacac
+accaaccbacccaabccacaabcaaacbbccbbbcabcaacbacaccbababaaacaacacbacbbbcacbcbcbcbcbcabb
+abaabbccaabcababcbbbaacaabbbbaabbbbaa
+cacacbabbbbcacbccabcacbbbaaacbacb
+cbcacbcbaacbbcaabbacbbcbcccaccbbacb
+cabbaaabaabaacaccabbaaacacacaccbacaacaaaaabccccbacababcbbacbaba
+bbbbabacabaabbabb
+cccccbcccbbcbbaaaabbababaabccabbcbbccccbcbbbccbbcccacbaabcbbbcbabbaaaabacaacaccacaaabccaaacaacaacabcaa
+aacccccbbbbbbbacabbaacabccaacabccccacaacaaabaacaabcaabccaacaabaacabaabcaaa
+cccbbaacabbbbccabcabacbbcbaabacbccbabacabccaaaaaaccaacaaaaabaacabbcaaacccbb
+accbbcaabbcbaaaaaacbcbaabcababbbacaaacccaaabbaabaaabcbabcbccaabccbaaabccca
+aabccaccacbbbacbbbbbababcbacaaaaabacbcaacbacacababcacbacbbcbcbcbcbcccaaababbaccacaacaabcbccbbacaccbaacbbc
+abcabaccacaaaaccab
+ccccbcbbbacbabbcaccbcabaabbbcbaccacbccaacccbbbacbccccacabccccabbbaaaaaca
+bbccbabacbcabaaccbbbbbacaacabcbbcbcabacbbabacccabc
+cbbaababbccbcacbabbbcccbbaabcbbcabaabbbccbcacabcbcbcbabbcaaaabcabbcbbccabbabcbbbaacbcbcc
+bccacaabaacacccaccbabbcababbababbcbaccbbcacbbcbbbcbbcaccaccbcabcccbb
+abcbacabcbcabacabaccccbbbcacabccabbaaaaacbbcaabacabbaccbbcbccabbccccacacbbcacabbbbcaaccaaaaabaccbccacacb
+baaabccbbaacbbacbabcbbbcabacaabcbcccabccbcbbbccbcbabaabbcabcccacaa
+acabbabbcaacbbcaaaabcabaabcbabcbcbbcabcbbacabaccbcbbbbcaacaacaabbcaccaacbbbacbbbaacbbabbcbccbacccaccbcbacaaa
+ccbcbacacbccbabbaabcccbcbbbaacaaaccbcbaacabbbcbbaccbcabbabcac
+cbbbabbcccaabacbbaccbabccbcbccbbcbbaccacccccbacbbbacacbbcbacbacbaacbabababbaccbbcacbabcbac
+ccbbcccaccbbcbbcabccbbcabacabbaabacccabbabcbaaabcccccaaccbbcaacacbcbbccaccabbbacbcaabbabcbabcbcabbaaccba
+bbabcbaaaabccbabbcbbacbacbcbcabaabacbabccaaaaaacaabacbccabbbbabaac
+baabaaccbcbbbcacbbbaabacaacbabbaabcaacccabcaccbcacaacabacabaababcabcbaacaccac
+bbcabcbbaccaaacbcccabcbcbcbcaccbcacb
+abccabbbaaccabaaabcbbbcbbbacccabbbacaaacaaacababaaabcabbbaababacbbcaacacbb
+abcbacbcaabaabaccabbaccaacbbcccbbcbaabbccccbaaabbabcbaacbcab
+caabbabcaacbccbabbbbbbab
+cccbcaacbccbaabcaaabbaabcbabccbcacaacbbcaacaacbbacbcabcbaaabcbbbccaac
+abcccabcbccbaaaacbbcabcbacbbbbbbabbbbbcaacbabacbcc
+bcaababcbcaaababcabbababcccccbcacaaabaac
+cacbcbcbcbacbbcccabcbabbbaaacacbbacccbccbacbaaaabbaabbaabbaccaacbacccacbacacccbaccaacbacbbcbcacbbcc
+aabbbaccccabababcacaabccccaabccbcaccbccabbcacabbabcbbccbaacacaabbbcaaaccccacabbc
+acbcbcbcacbabbcacbabacbbaabcaacbbcc
+cbccacbabbaccccabcaabcacbbcbaccccccbccaacbcbcbccabbbbcbabbbbcbaabbcbbcaababccbccaccaabcc
+bccaacacbbca
+aaabccccccaccabcacacbbababcaccacaaabacabcbbbcca
+babacbacaaaabcbaaabaccccaaaaccabcbacbcbbbcbbccbacbcaacbbaabaabaccbabbaacabbcabaccbbaaacbc
+ccacabbbacbbcbaaaabacabbcbaaccabba
+caaaabbbccbaabbbbaacaaabababcaaabbacbbbbbbabcaabcaacbaababaabbabcacacbcaaccbcacaacabaccababaaabaacccbb
+bcbcabbcbbaaacbabbcababbacbaccbbccaacaaabacbaccaababbbcabccccaacaaabbaba
+aabbacccbbaabccbaccbccccbbbbcccacbcbabbbcccbbcbaaabaaabacaacaabccc
+bbccbbcbacc
+bcababacbbbbbcccacccccbbcabcbbcabaaacabbabbbabcccccccbbccacacccabcacaccbccbabbccbaabcbaccbabaccbabbcacbabcac
+acbcacaacaacaabcbabbcccbacbbaaaacbcacccaccb
+abacaaabcbccbccccaabcccbacaccabacaaacabbcccbbbbcbacbccacbaabcbcccbabbacccbcbbbcbcbccccacab
+bbbaaaacbcaabacccbabccacbbbbaabbacbacababbcabababacbbb
+acaacabbcaaccccbccbcbc
+cabcbcaaabbbbbaacbcbbcaccbcbbaaaababcaacb
+cbbcabaaacbaacbbccbabbaaaccaaaacbacaaaa
+acbacacbacacbbcbaccbcabaaccbcacaaaaaabbbcabcbaaabbabbbcabaacacbabaacccaaaabaacbbacbcacacbbacacbacacc
+caaaccabbaabacbacaabababbacab
+caccbaacacaacacacbbaabbcccbbbcbbabaacbabbcabccacbcbbbcacacac
+aacacabaacbabcbbaaccbaaacaacacaacacccbbbbbb
+baaacacccbaabacccabbaaaacabbbacbccab
+cabbbcbbccacc
+bbccbbacabbbaaabaacacaccccbacabaaacccccbcbcbbbbaacbbaabaaccbabbaaaaca
+bacacbbbabbbcacc
+cbbbbabacbaccbccaca
+cabbbcaaaacabbababbcaaaacaaccacabcaaacbbcaaabaabbbababcabcbcacaaacbacabaacacbabbbabaaccbcabababcbcbabcbaa
+acabcacababbbaacbbabbbaabacbbaacbcccbcacbcbccbcabbaccbbaacccccacccbacaabbbaabacbabaaaaa
+bbcacbbacbbaacccccbcccaacccccbcbbcacbbabacaaaabaccbcaabccbcacabaacabbaabcacbccaaccbbbacbacbbb
+babbaaaaaaaacbcabaaacacbacbbaacabaabcabbabbbaaabcbbabbcbbbbbbcabcabccabcbabcbcccbabbbbcccbbabbbbbccccabbcbca
+acaacabaacbaabacabbbcacbcbcabaaabcaabcaabaababcabbacbbbbccabcccbabcbcaaccababacaccacabccccaacccaacbcaccaaac
+aaaaababbbbabcaaabaabbbaacccaccbcacbccccacbbabbabcccabbcbbacabacbcbcbabaacaabcaaccbcaaaacbcbabbabcabacaacaac
+bbacaaabcbaaccccbacacabbcaaaccaccacabcbbcbccbaabacbbbcccbbb
+cacacbabbacaabbabcccaababcbababcabbcabbbbaabbbabbabccbcaacaccabbcbcaabbaaa
+bcaaccacaacabcaabacbabccbccabbbcaabcbbbabcaaabcbccbcabbacacbcaccbacbcbccaccbaaabc
+cacaabacaabbbbcbcbbcabbbbaabbaabbbcbbbbacbabbbaaabaccbcabbcaab
+bcacacbaabcabcccaabbcbbbccaaabcabcccbabbcacbab
+caacacaccacabaccbbacabaaabcabbcbbcbcacbccbbbcbccabaccbbcbcccacabab
+bacaacaaacaaaacabaaccbccccaabbcbbcabccbaacbacba
+ccbcbcbbbacbbbccccaaa
+babacacabaabbacabccacbcbcaaabaabbcabcaaaacaaaacaccacbbbccacccbbbcaccacabccbbacccbcb
+caabcbcbbcbcaaa
+cccaccaaabccaabaccbaaccabbbbccbbacaacbbbc
+caaabaacccabacacabbaacacabacbccaacaccccbbbccbbcbaccabaacabcabbcbccbcaaaccaabababcaacca
+cbcbbcbccccbbcacaabbcbaaacbbcabccabcbcacbacbaaaaccab
+bbccabaaacaabaacbaabcabaaccaaabaaacaccbababaacaca
+ccbbacbcbaccacbcaababbaabcbcbcaaacacacabbcbbccbcabbaaaabaabbcabaaacacbabbbbbcbccabcbbaaabbaaabbbcaabcacbbcacb
+ccbbcccaabcababacbacbaabacaaabbaccccacabcccaabaaabcacaabcacabccbcabbcbaacaabacacbabaabcccababbbbcbaacbcbcac
+acaacbbcabbacbacbaccccaaa
+bbcbbccaccbaacababcaabbcaccbccbacacbcaccabbbcbbbbcaabccbccccacabbbbaccacbbcaaacbccbbaacbcabcabaabbcabcba
+baccbccbbaaaacbcaccbccbbcba
+aabccbbabccccbcccbbbbaabaccbabcbaccbaabbccaabccbbaabbbcacaccbbbabbc
+bacaacccbccabbabccacbacaa
+bccaacccabbabcbcaccbbcabaaacbaabacababbabbbbbccccabcbbbbcbbbccacaaacccbbbabcbbbcaabac
+baccccabababaccaabcbcbbbccbbcaccbbcccbaabcabcbcaaaacbbbabcaaabcbbacccacabaabcb
+abaacaacabcacacbabcccbcbaacbaccabbccabcababbabbbbcaacbabcab
+aabcacbbccbbcabbcbbccbbbcabcbaaaaababbbabaabbccbcccbbcabcbcabaacacbacaaccbcbbcabcacacbbcaacabcbba
+bccccbcababccabccabccacabccccabcaabccaabacacccccbaccbabacbbacabcccbbaabaacccaabccacbacabbcacaababcbacabbacab
+cbbabcbabcccacacaabbbabcacbbbcccacbaccb
+aaaacbbcbabbbacaaabccabccbacbbbbcacccbcbcc
+bcacaacaabbcaabbbaaacaccaabcacbccacabcbcbcccaacabcaabccabbaccaccacaabcbcacaababaaabcbacaababbbcbbccaa
+aaaaabccbcccacccbaaccbcbabba
+bbcaacbaaaccaccabaccbaabbcabbbaccbbcc
+bcbccaacccbbacbaaa
+cabbcbbbcacacbcacbbabacaabcbacaacabcccccabbbbcbcacbbabcbccbaccccbcabbccbbcabbcaaabcbbaaabbabbbcccabacbacab
+cacaccacbaacbaabbabbaabbabccbababcbaabcaabccbcabaaaaacaca
+bcbbcaaabcbcbbababaacacbcbbcccbbbccbcbbbcccccccabbacabcbbaaccacbcbbacbcbacbcababcaaabaaabbaabbcbaccacabc
+bbbbbcbbbaaaabaaaacccbaacbbccaaaccbaabbbaaabcbccabbcabacbbccaccb
+bacbaacccbbcacbabbacccabcaccaabcbbaabbc
+babbbbbaaaac
+babbbcaaaccabccabbbcabcaacbccbbbabaaaacab
+acbbbabcbcbbcaccaaaabaacaa
+bbaaacabccbbaccbccabbabcabcbc
+cbcbbaccbbcabc
+baabbccbaacbcbcc
+cacbcccacabbcccbcbacbbabccbcabcacabaacabbcaaccaaaaacccbbabcbccbbbbcacabbaaacbaacb
+ccaacaaaccababbbacacccaacabbacaaacbcbb
+aacbbbbbcaaabccaaaccbcbabccbacaabacabcbaccbbcbcacccccbaacaaaacacbaccbabcbabbcaacaacbcccaccccababcacbaacbca
+bacbacaabbbcacbabcaaabbaccabbcaabbbbbbacbbbcbbbaccbaaaacccaaacbcabbacbbbccacbacbbabcaccccaaccbbbacbcbca
+cbbbccbcbbbcbaccbcccbcaabcccaccbba
+abbbcbbbaaabbbccbabaaacabbbacacaccbcabacbaaaaccccccbaabbccaacbaabcacababbccbbbc
+bbaccccbabcccbcabbaacccaacababbaaca
+cacacbbbbbcbabbaabcbacabaaacbacbbbbcbbacbccaccbaaaabaacacacbcbb
+acbcaabbcaabcabababcbccaaaaaacaccbabbacbbbcacbcaccbaaacabaabbaabbbcbcacbacbccbacabcaccabcacbabacbabaaacaaa
+caabbbbbcabbcbbaabbac
+bccabcabbcbccccabcbcbaabacaaabbabbcbcaacac
+ccbbabcacccccbbabbcbaaccccbccaababccbabaabbcbbacbbbacbabcbccbbabcacbbbbbccacbbcccbacbaccbbacbbaacbba
+bcaabaaacaaaabbabbaaccbbabbbcabaacabbbbbbcbabcabacbcbcbcacbcaccacabcbbababaabccaaaccccaababacaccabaacabcbbaca
+bbabaaccaaaacb
+caabcccccaabbbbbcccabcaabccaabcaaa
+aabccbbbccabcccbbcbbcabacbaccbbaaccaaabcbccbbaaccbaaaccbbacccbcbbbcbbaabaacabaaccbcbabbbbcbabbbba
+bbcaaccbbaccbcbcabcabaaacbbcbaacaacbbabcababbbbbacaaaccabaabaabbab
+bccbccaccaabcbcbccabcbcacbacbabbaaabbbcccabaabccacabbb
+ccccaaaacacbbabcbabaacbcacacacaccbaccaacbaaabbccacbbbcaaccacabbbbcbbcabbcabacccbabbacbabbcccccbccbcbcccbc
+aabcbaaacbcabacbcbcbaacbcabbcabbccaccbbccbcbaabcccbccaaacbacababccc
+ccbaacacbaaaccaacababbacbcbbccbbabaabcbaccbccbbacaacbbcbcaa
+cabbacbbcbcaaacbaaacbbabbbcbaaaacccabcabbccccaababaccabaaaaacccabcaacbabaabbccaabbcaaacbccaabcabaccbbca
+aacbaaaacbccbbcbbbabacbbacacaaacbbaaaacababccccbbbcbbbccbcccbcacbabcbccacbbaaa
+aacacbcaabaababaaaaccbabcbcaaba
+bbabcacabaccaaabcbccbbbcbbbababacacaaaaabaacaccbbaaccaacaabbbaccccacabbcbbccbbcbbababababbbc
+bbaabbbcbbbb
+aabbaccbaaaabbababcaabbcacacbbbaaaacaaacbbcbacbcababcabcccbabbabbaaacbabacabbcbbbcacbcaccbcaaacbbabacbbcab
+abccbbacaacaa
+abbbababccabcababaccccacccabaaccbbbbaaabcbccbbaaaacaaabbcbccbabccb
+ccbcacccbbaababbacbabccbacbbabccacbcaabcbacbcacbcaabbccbbacabaabaacababcabccbabcbbcbacbb
+cccacabcbaccbcbcccccbcbcccabaabbababac
+265 3
+acdbaadcbbbdbcaacbaccbdbabcbbdbddbddbaadaaddcdcbcbddaba
+cacabcddadacaab
+aadcdbacabbdbacacddbdcdd
+bcabbbbabaaaaddccaccbddadcaacaaacabdabacdcbccbbbcbacdddaacadadcc
+cbadcaccdcabdbdcabdddaababacddccdcaabbbcdacdadacbabacdabaabdacaadbdcadcbaddbddda
+acadcacdadbbdddbdacbdab
+babdabababacdcadacaaaddbbdbdbbcadbaaccdb
+bbcdabbdcaddaaccbbcbbabbcacbccbaaacbddcdbdacaadadbbdddadbabdadbdacbacaaacdabdbcdcccdcacbadaabcdda
+dbabbccdbadcabccadbcbbabbddbbbdbbabacacdabaccaddacccccbcbdab
+ababdacaaaacbbdaadcaab
+bbbcdaadbdbaaddbdda
+bccddbcdbcccbbddccccabdabbccbbbadbadaaacadcddcdddaabbacbadbacabddbdacaabdcbddaacacccbabcadbbcca
+cdcabbbacdbcbdbcaabacd
+bddccacbdcabbdcbbddbcaadccdbabacbcabaddcbaaaadddcddcbcabacbbdbcbadaddaabacbbaccdabdadcccdadbaacb
+abcdadbadccdccbcababddacddaaabacbcdccbccdbccbbadcdbdbccccaadabbbbddbdbcbbcbaddcddcaaac
+abbaadcabbdbbbbbbbcdbcdabaacbcdbdccaddaccaaaaacabcaccbcccdbdbcdbbadcbdcdcdbadcdadc
+cbdaccdddccddadabcacaccadabcbcccacbcadbbcacbdadcba
+ccdddcddcaacabddcdcdddacbaaddcca
+abcdaddbcbbcdcdcdbddccbcadadccadadabbaadddbaadcddacddcbdbccacbcacbdcabccaddbcbacdabdcddaabdabaddcdbd
+adcdabcbcbdbcadbcdcadcdabddbadbddcddcabacaadacabbbdac
+acdcddabddcaadababdccaadaabcbadabbaacadbdcaabadbcdddddd
+cbadcacacdbdbcddbabacbcacdcdacadadcaaadbcbcdbacccdacabdcdbcbd
+aabccaadbbdbdcbbcbcccccabaccacbbcdcddabddaaadcacdbaacacbccabdbadccddbbbbadccdccbddabddccccdbd
+bbcbacaaadddabdacbccdd
+aacbadadccbcabcdddcdddcabbbcbddaaabacccddbadcbcdcaaddbbcdbbaadacbcbbadccd
+ccdadcbcacaaacbadabccccbcc
+ababbbdabbcdddccbbabbdcbcbbaddabccbbccbaaabdcccaabccaabcabdcacbbaddcdacccababccaaccbbbaaddbdbbbbdb
+dbdbcccbadbabbccddaabbabcdabcccdcbaaacabbdbdbaccabcbcdadccdcdabdaabcaaccbcdaddadccaaa
+dccccbbaadbaddcabcacdacabbdacbbbbbdcddcabccabcabcbdabaaabdbbdcdcabcdd
+dacaabcbdbdacdcaccbacdaabbacbadacccdcbadbdaddbab
+daddbbabcbdcbccabddadaddcddccabcbadacbcdadadacadccccacacadbaaacadbbcacacdacdbacdaccbcddaaac
+baddcccddcaaaadadcbbdcaaabadacabdababaadbaabaaccaadcaa
+ddcdbdcccbbcaaddbdbbadaabcdadcddbcdacadcbbbadbdcccdbdcad
+abbabaaadbcadddcadabcbabdcccdacdcbdabbbadacddbccddbcacbcac
+addcacdaaaaacdcbbabdbdcba
+dcdadccbbbddaabbcaacbcabdcabcaa
+dbbbcacadda
+aadcdcaaaadcbdbabbcdbabadcbdaacdacdcaacabaadbaacbaaadcdadbdbdadccdbdaddcccdbbbccccdbbcbabbbddccbdac
+ccddcaaaabbdcaabbbbcaadccadcddacbdddbccacaccccddccaaabccdddaddbcbbcddbcdcb
+ddabdddaddaacbdcbdccbbcdcccadccabdddcbdbdbadacacbcbadbacadbadcdaaddaaabdbdccac
+bcabbbddbcbdaacdabcdcdbbddbcadaddaddbcaabbcccbbcbdddaccb
+cdacaacaddbdddbdacddcdabcdccdacaccbcaddbacbaccdbdcabbcbadacbbadacdcbaaccacbdcbabbc
+dabcbbcdcbcdcbbdcbacaadcdddadbdddbccbbbbbadcccbbcccacdadbbd
+dcddbbbcadbadcdddcabbbaacbaaddcaacddadcbddcbcabcabccdadc
+aabbcadbccbbcaadcbdcadbabbdabbbcadcdbbcccddcbcbcdcdcacaabbbddbcbacbbccdcdddbbacacdaabadccabdacddccbcacca
+cbadbcaaacdabdcdcddddbcddbbccbbbbdacbaadaccdddbcacabbacbdcdcababbdaabdca
+adcdccbaaaaacbcdbbdaddbbbcbccccbadbd
+bcbcbcbbdcdccadcaacbdccbcaabdadaddcbdbacdcdbacdcddbbccaacbbacaddcbabdbddbbcbcabdbbabbcbdcababcaba
+cabbbcbbccdacdabdaaadcdccbcacbdabccbdbbbcadcdaadbaccddccadddbacddbbaabaacacbcaadabadbdaddbbaaadabddabacbdcbda
+bcbbabaacacbdbddcaccacdccbabcabcabdcabcabdccacacbcdacddcdbadbcaa
+adbcdcdcaaabbccbaaccdaababbddbbcdabdabbbaadbbdbcbccabdcbcbcdbccbaccaacdbbdbddcaaababba
+adcbbbdddcbbdacbbadbbbdabaacadccdabcddddaadbcacddacdcbbaadcbddbdaaacacddbcaaadcdbadddaccdbaadaaadcbcbdacc
+acdaabdacaddcadbdddbcbccacdadcbdbbaddbcdddcdcdaccad
+aadacbcdcddaccbacdcaabdaabaacdcbcaabcbbbbacddbdbdaaaaddddadabbaacbbdabcdcbcbaadddaddaaacbcccabbdaddbdb
+dccdcccbacdcdacaacaccbaccdbcaabdaaadbaacbbcccabbaacccaccdda
+cbcccaacadcbcacdaabbbaaccdbaaacacadcadbdcbdabdadbb
+aabaccddabcdaacbcadbabadacbcddbaacaadbcddddcccdaaabbaddacbcbbdadbbabcbdc
+dddabccaacaaabbddbbacbbabbbbdbccaaccaacdbbacaaccbcccdaddabbcbbbddbcbabdadcdcbaaacac
+cbdababbdbbdabdcdbdadaccbbdaabdccdcadccdcabddaadbcacdbaaccbdbabaccdbbc
+aaabcaadbac
+ccbcbcbdcbccdaaddbabcbaacadaddcabbacbabbadbbabdbaabdccbbaadacabccbcdaddacbcabcacbcbbccbc
+bcdabbdddbacaababbabbcbcdcadaacbdaaacdbbdbaaccbdacdbaccdccababa
+dddcdcaadbabcddacbcacbcdaababaacdadacadbadbdbabbdcaacbdadcadbdabdbccdbabaddbadbdc
+dcbbccaddccdadbdaadadabbbdadbadcbaccbccdbaccb
+abcaadaabdcbcdabbbdcddbccddcbdcaac
+aaddcbbabcbcdbadadcdbdaabbaabbadacbbadbcbcaadcaacbbdadbbdbcbbddddaddcccabcac
+ddcdaabadccdcca
+bdcdbccabbdbcabdcdbcadcdacbdbcadbbdaaaaccabbaabdaadddacdaab
+cbacbdaaddbadddcaadbbdccdadbb
+bddaabdddccacccccacddbaddadcbaabdddcadaaddabcdbaacb
+bbcccbcdabacadadcadbcbcdbbadbdbcddbdacdbbcbcbaadaadcaacabddbaaaadddcbd
+cddbbbdbdababbbcadbbabdbbbbccbddbddddbcabddaddc
+abaadbaadbcbddaddadabcb
+daddbbbddbaacdaabadbaabdacaaadcbacdccbaabbdbdbbaabacabacdaabcacbcbbccabacabb
+ddddabcaddcabcdddccacddcbccaabadbdddbdbddabdcbddadaadbdbadaacdbcaddcacbabbcabcccaccdbddcabcaccdbdcaabbdabbc
+cdbdcdacadbbdcbbcbcabaaabbbaccacddcabbdbddcdbdbbbddbcdda
+cdcaccdbacbbcdbcdddddacbbcbcdcddbcbccbdcabddcddabdbadabbadbdacbdabdaacbdaaadacbbdbdabdbcaacadbaddbbbbbd
+aadcbaccdcdccdabbd
+bdcdcddddd
+acbbbcccadbcbacbbbcbabdabccaddadbadddcdadadcccddbcbbacbdccbdcbbbb
+aaccaaacbaadcadcbdabddbaacdbcdadcccbbcbadbadbdddbacaaabbbdbddbddbdcccabbdbcbcabbdadbadcdacdaabdcacacddcadb
+dacaabaaadbcbabadaddacaddacdacdacdcabccbdbcdbdaaadaadccdbcbadcbdcccaaadadcadbacdbacacbdbdacddcccabbdbadac
+dbcbdbbbadcbabddaadbdbbacbbaddcadacbaadcccdacbdccbadbbabcdddbccbcdabddabbac
+cabcdcdaacddccdaddbccbaacbabcdacccccbaaddcddadadbacadc
+aaacbacabdcadabcccaabbabbaabacbdbaddcbccdddcbcbadcdabcbab
+ccddbcbadbbaccacbadbcdaacbccdbcbbbcabbdbcbacbcadcbbdbcacbbccbbadcbcdcbdbcdbcacbaccbbcaac
+aabcabaadcdbbcbbcadbcdccddbaabadaadbbcacacbc
+bcaadcdcacabdaddbcabddddbbabbaaaabdcbccdddcccdbddcbbacbbccdbbadbbdacbcaccccaacdbdaddbbdddcdcdcadaccbbb
+badbabbdbbacabdcbdccddaadadadbaabddbdbadbbcabbcaaadabba
+bdbdbddbdddabccccabaadacbaccbbcdcabddacdacaddcbabdccbdacdbddaacdcabddaaacbcaabbdccbd
+dcbbcdbdccbcaab
+cddcbaadbdcbabcbdacacaccacdcdbbdbbddaadbbaabadaccabcbdadcdbcacaabbacbcabbcdaabdabcddcdbdbabaabcdcdbdbabdbaaad
+acccaddbbdbbacbdaaadbcbccbbacccbdddcacacacdaadbdcabdbacb
+bddbadaccdcbddbcbbadccbdadabdbcacddcabcaba
+cccbdcbbacdbddbccadbdcdcbdbddaabbcabaadcbaabdcddcacbcadcbacacbcacbbccabacddadcddccbabccaddbccaaddcbbaab
+bcbbdaccdabddcabdcbcccdbccaacdcddcbcacdccadbbadabbbabbbabcddcaccaabcdaab
+cabbaadacadabdcbbaaccdbddcdaaadbbadbccdbcdcabadbabdccdcdddbcdbdbabcbdaadddbaadababaaaccaaadc
+ccadccbabcabccdadbbdbcccbabaadaababaccacadcdbbabdcdabacacaaacacdbacaadadcbdacabcbabdacbcb
+dcacadccbacdacadcdbacabdcaabdaccdcc
+dccdbbbdbddaccacaabacdcbacaacacbbcb
+ddaaabacccacbacbbbabbabacccbcccabacccabcccbcbaadddbcdbcdccbdcbaabbcdabbcdbdddbacb
+abdbadcabbcdbaacccacddadaaccbabbdbbabcdddddcbdcccaacacbbddbdbaadccbcbacdbbaabddcaacc
+caacbdddbabbdccbabcbdadacdddbcbadbcbacdacbbbabdbbacdbcacccddddadddbb
+bcbdcbcbadbabcaccadcbbadcaaaacacddbbbcbcadbbcbaaadbbbaadadbaabadaddaccadcdacdd
+ccbbbbdacacacadbcbdcccabdbb
+ddcdbbadcaddbcacbacccdc
+dcdcacbddccbbcddbbbcaadbddcccbadabcbddcbccaacbbddbcbdbabbdcacdbcadca
+aaacaaabbacaadbbacbdddacaadbdbdcdabadcbbbcdcabbbdadbdbdbaabccdcabcdabb
+daadddccbdabdaaacdabdddbdadabbcabadddbbdbacbcccbbdccacdcdbacadaadbdcbbacddbcbdbcbabac
+adccbbcddababaacdcbaaaaddddabacaadccbbada
+daccadaadadaccdddbdbbabacaddbdcdccdadaabcbdadbaaddadcdcdabaaabdadcdbbc
+cdabcaabdcccaccbbddaadcadccccacdccccbdabaabcbddbaaaaccadabdcbccbcbddbaddadcabacaaaccaadcdcddcbcddcbdad
+adccdbbcbbadcccbddaadccbbbbdaabcbdcdcadccaccabbbbdcabddddbddcaabcdabbadcaaccadbcacdddbbdddaaacbaadbdcdcacdbc
+accdbdccadcdbadcdcccdaadcdbaadbcdccdbaddcddaccbbdcbbabddccabdabbadbaddbccddbbbdddbbcadbcdcd
+dacbdddaaddbdcdabdaacbaabdaabbcdddbacbcccababcaadddbad
+cabbacbadbdcdbdcdcaaabcdddabbdbdacccbbcacdcdadbcbbc
+cbcbdbccadbbdcabbbbdcccccbdbbacbdadbaabadcdbbaaacdbddcdabbdcadddbbd
+cabaacbbdabdabbabccaaacbdcdcadaaabbdacadbaabddcac
+dbbbabbcabcdcbaca
+bbddddabddbdddcada
+adbddadddcdabbbbbdddabdcdacddccbadacbdaacbaaccadbcacccaccddaddbdaaaabbccacbbdadcbdaacdbbacccadacaabacdca
+cbbbbddcbcacbaacbbaabdaaddbdcbbdbbdccdcbcbdbdbaabbbaccaabbcdabdadbdbdccdadc
+dbaadcdaacacdbaadbbabcadadccdcbdacccbdd
+bdbbbcbabcbccdbcd
+dcbcdabaaabadcdddbcbddacbdaaacccbdcadbdadcabbaccdddddabacaabbbbbbcabcbcdddbdabb
+dcaddadbcbdcdbccadacaabdcabbbbacdbdabccaadcaaccdbdadbcabadaadca
+ddddbdbdcbcbaaadcbdddaddcbaacabaabccbbbadbdbadcddcddcdaddabaabdbaabcbcbacabddbcc
+cbcbdacabcbcdddadaddcdcbbdcdacddbdabaadbabdccdccbdbbaaaddddbbdbacbcbacbaa
+bbbcddddcadabccaacdadbdadaaadddbddbdcccadccb
+bdaaaacccabbddadbcadbd
+bdcabbbadbbcbbaaabbcbacdabccddbdcddaaaabdbddbcadaaaaccbbbd
+cbadaddbaccdccc
+aadcbbdbbcbcbdcdaddadbdcaaaaddccccbbabada
+daacadcabaaddadccaacdcdcabdcbccbcbbbccacbdabbdcbbbbcabdbababbdbbcacabddcdacbccdcdbbdbccacbdcddacabaa
+acbdbabdcbddcdcbadbdcadaddacbcbbaaadbaaabacdacadbcdbbcacbbcbbbacabadacbadbcccaaadadabbcdaccadbdbbbcadbcaad
+bcbacbabbdbbddaadadabaadbdd
+ccbaaacdbccdadabbdbbcbbcabccaabdcdadadcdbacbddbcdcccddaabadadacaadadacaacdabbcacbaccddbcabdddbbcdab
+accddcdabdaccb
+bbcabdddddcaccbbadaddbdddbacdccaadcaacaccdcabddabbccaccddbbddcbcbddaaaaadacbcbcadcbadaabbcddaaabdccc
+aadacbabcdcadccadcbcbcccaccbddaba
+dbcbcaacdddbbbcdcaccdbbcddabacacccadaadcacbaccadcacbdbaccbcbccdbdaacdddabbbccdcccacbaacaaabbbabdaabdcba
+bdccbcdbdccadcacaadbdcaadaddbdbacdabdacdcbccccbccbccabdaadccdcabccabadaabbccdbab
+acdcbadcaacacccccbddcbabdbcdbdbbdccbbc
+caccbcbacbbbcbaddcddcabcdadbaccbbbdabcacaacbcdbabddaacaddbcdca
+bdbdcbbbcddaacabdccbbdabddabbcbcddaacddddddacbbadaaddbb
+bcddbbaccbdcdbbabaabcabdddbaacbdadabadabdaacabbdababaacacaddabdbdcdcddabcccaaadaccbacabcb
+caccbbadbbadcdbacdbaabadbbcccaabaddadb
+ccbdacabdaccabdbccadbccdabbaacabdbaadabaaddcabdbdcdcaddaadadcabdcbcbabdddcaabdbbabdcdbcbcababdccdcbabddcbacb
+bdaaaaccddccbabdaddbdaddbbbbbaacabcbababcaadbadbcaccbdcba
+adcccbabddbbaacccdabcacdadddccdbbaacddddbdbacbddbdbbcbcbcccbdbddbddddaabbcadacdcbbabaadbcadddbcdadbbbdbbdcb
+accaadacaccadcaadadbdbbabbcaadbbcabacaccdbabbaabccbadbcbdacdbcbdddcadcdddcdcbcbbadaddbdcacbacdccbadbaabccaab
+dcdddcaadcddabc
+badcdcbbddbaaacacbcbbabcbcbcdbccddcaadbd
+cadbcdcddccadbcbadaccbdcccdccccddcbbbaccbbcbbdadbbbabaadaddbbbaacbbccbdbaccddbbdcddccccacddbadb
+bdcbabbabcbdabbc
+abbdcdcacccbbbbcddccbcbdaccabbacabddcdaadcdcdbdadbbcaabdaabadaadabbbdb
+bbaabdddcaabbaddacddabcbccacabadcddadcdcbdbcaabaacbaccdadbdddcbcacbcdbbccbcbabdaac
+aaacabaaaabddccaadcdabcadbdddacabcbcbcbacbcbcabcdccbbacabdabbdbaaabca
+daccdabdabdddcadcabbdadcaaadcaadbccdadaacaaddadcccaabadcdaadbb
+cdccddddddcdbbc
+aaddcabbbddacabaabdabbabcabdbdadbbdaacdbaacdaabadadcaa
+ddbdbddccadccccacdacabadcbadddaaccbaaccaddcbaaacacacabbbbcccbabbbbbbcb
+abdccbacbababdccbcddccdaacabddbbdcccbbaddddcbacbcbbcacabd
+bcddabacababdaaaacaaaccbadbabbaacabcbdaaabadcdccbaaaaabdcbbdcacdaaa
+cdadabcacdaadbbbcbabacdddcbacc
+dbddabcababdccaaccdcdaacaacabcacbabdcbcbaaabdbdbacbdbbdcdcabccdacaaadcdcbcbadbdcccaaabbadabbac
+abcdbabaaddddcc
+cdbbacbbdbbddbcbddbddccbcbabcabbabcabdcbdcbadabdbccadcbaaaadbcdabadcbcc
+dcaadddbccccbbcdcdbdadcbddddabacdddcdba
+dbbbccdcdbcbddbadacbcbdabbcdddd
+ddacbcbbcddcbacabaadabcabdabcaddbdbbbbcadbddcddabaabcadcabcadbbcadcccca
+adcdbbadcacb
+adadaaabccdbaccbbcccbbcadaddcadabbbbdddcdddabdacccaabddbacdcaacdbdcbadbacababbdaccaccbadbbdbdacbbdbbddddc
+ccbdaaccccbaadbbdccaacacdbbacdbbcdd
+bcccbcbdcdd
+dadbadcadacdcbabcddcccadaacabbddbabcddcbcbdcdabcabdbababadabddccbdaadabacccaaccbddddbdcdcdbdbc
+ddcbcdacccbdccbbbbbdccdbdbbbcddcbdabbbcadbcdabbddbddacccabdccddbbadabbbcacacaaddabbdcbcdbdcccbcdaababcd
+daadaaadadcdcaaacbddadaccabdaabbdabccdabdccdddadbcbaabcbbaddaaadcbdccaabdda
+cddcaadbadbaaaacdbdbccabdacdcdbcdadaacababcdcdbaacdcddddacabbacbbb
+ccddccdaccbccaddadabbdabcacddadcddadccacbdaabaacddaacabdd
+accbcdccbaababdcdbabdadadbcbcdcccbdbadbbcdabbcdabcddaacddccdbaacccbcaccbabcbcbbabcaadcbaadbbbdadaad
+abaaaacadbcadcdddacb
+dbddccbccaaccdbbcbbcadabbdbddcccddcddd
+dacbbaaddcbaabdbbddaadcaddbbbbcdccbcaddbadbdacbdabcadddabccdcdbabaacdbbacbdacbdcbbacaad
+bcdcbacdbdddcaaccdbaadcbbabbdcbabaddccbcbabdcddbdcabdcccaabdcdbbbaabbbabcababcaaa
+cdbcdcdcbbabbacacbaadaadbacdccabcdaa
+ccdddaabdcabcacddbbdccccdadbbcbdacababadabacdcbcbcacacdcaacabccabc
+dddbdcbdaaccabcacdbabbacbdbaddcaccabcaacddacbccddacbdadacdcccacaacbbbcaadacdcbaabbadbcbcadbb
+adaabcddabdacdbacdacbccdacbbdaccdacccdbadccccbaccbcac
+dbbcabbacb
+cdabadacdbcbacddbbacddbcaccbdbadcbbbdbcaaccaadab
+cadadbdaaccadcaadbdcdcc
+bacaaccadacbcabaaccbbacdcab
+bbaacbabadadcdcadcbbcacccadcdaccadadbcabaacacdaaaabcdbadbbcddddbadbbddacaacdabbdbabdaadbaac
+caaaaaccacbccadaadaccddbaacbaccddbbaaddbddacdccbcbaabbccaacadbbacdcdcdbbcabcdaadbbbaddaacdbdabaabbdbb
+dcdddddcccabcddaaaabadabcacadadcdaaadbbcacbbaaacddaaddccabcacdbbabaabdbdcaaabadcbdbcdabccacbdd
+dbdcaababdaabddbdbbccccdbdabbacdaaddbbbbbbacaaabacadccdabaababccaadabcbaacdbdb
+dcbbbabcbabadbdcdadadbbdbbccccdbadcddcadacaccbcddcdadadcbdacbdddaccaabcddbbdcbbdbcdadcdbb
+adcdacbaccdcadbacccdbcaccdddccadcbddcddcdaadcbaaddccaacdcbccbbdbadcbcdaccabaabcadcbacbcb
+addabcaabadbd
+cdcdcabbdbcaaaabaaadccdbaacbdbadcdbcaccccabddcccdddaabcabbdacabacddaddcdbaad
+dcbcabdcddbbcbbbabcbaadcacbdacdcacdacdcadcccddcbbadbdddaaccbaabaacdbbabddcdd
+ddbaacaabadbacdcccbcdabbdbdddabcdacaaccacbcdbabdddcdbcdcbdaccdcdacabbdbdddcbdccbbca
+dbcbadbdcdccbcaabcccbbdddbcdcaadbdcadadbccdabbbdcddcbaaacbdaccabadbaaa
+acbdbbccacbdabdaaddccbdcccadcbcdcdacbbbbaaabababaddcdccadbbdcdcdccbcacdcbcddbcdcdcbbdca
+dbdbcdaaadbddabacbabbccbdcaaacddcaaadbbacddabccdddddbdabdbabcabcbdababadbcab
+aacddbdbaadccadbbabbad
+babcbadccacdcabdcdadcdccadcddcacadbababcccbdbddbb
+ccbccbaaadbccabaca
+aabbaccbcaaadaabaccddcacabaaaaccddcbddbacababcbbdcadcbbbb
+dbbcaaccdaacbcccbaabbbcbbbdbcccacacacadcbb
+dbbdacbbadcbabacaadcaccdbaadbbdbbaccbdbab
+bcbdabbbacacddcddcdaccbbdbdbddadaaabbaacdbbbdbaaacbadbacdcacbcacacbaaacaddcbbdcacbc
+dbadcaabbacdd
+dacabadccdcbdabdccacddbadbabccabdddacbbccdbacbcaabaccdcacaacdbcbbadbccddcddddcabaabcbadcccdacb
+ccddccadbbdbbbbcbddddbaaacadbdbdcabacbbbdbddca
+bbccbcbbbdabcdbaccacbdaabddcbcdccbcacabaacacbadddbcdcbb
+bbdcadabdbcbddbdadbcbacbdbbdaabdcbcbcbbbbdcccddadabbbcaccbcbabaddbcbbcdcbdcaaaaaccdccdbcd
+bcabbbacbbbddbbdcdabddcaaacdacbcaaaaadabcaddbbbabcabbbbcdbddbdaaadbbdbcaccbcdbadb
+abadcdbbdccdcadcddbdbaabcadbbbdadbcacaadacbdaacaaddcacaddbbaccadaabacbccbcbbacdbcacbabbbaabdccbcacabaccbbab
+aabadaddabdadcdcabbcdabcacdadbbbabacdbda
+cdbbbadababdcbdddbaababacadccbbbdbabaaaacaadaddcacabaccdadabcdaa
+cabbcddbcbdbaaadbddabbabcadbcdcddcdcacbaacadddbbabccbabadcbdb
+caabaadcdcabbacdbcccbadcabadacdadbabdadbccaabdbdbbacddbcadaaaadaaa
+bdbacbadaddbdcbdbcdcbaadbacdbddadbcabccbcbcccbcddaaaabacccbcdbdacbcbddbccbaadabbaaaaddcdbdaddbddddaaa
+dbcaaacabbd
+daaaacbacddadbcabdddbdaccdbdbddcacccdddadccccabdabbbabccbdddbdcdbdccdbcdacbacaacbbbbddadadacdadbd
+accabdbdbabbdbacbbccdcabbdcabcccbadcbabadaccaabdadcbdbbdadaaccaccdccabcaddcaddbbaddaaabdbbdcdbdbbccadddccddcc
+dccacbbccbccbbbcaccbabcabccbbccdddccdaaddaddcbaacdababbb
+cdbccddccbbdbbcdcadbdaadbcdbabddbdcbdabbccdcadcabaddbbcc
+adabaacbaaddcccacbaacccddacbddabbcdddcdadcccadddcbcdbbbbbabdcaacbbdddcccccadcbbbdddcbdcbabbacadcbbdccb
+cbaaddcbbbdbadccaaabdbdcbbdddbacacabddbbdcdcdccadadbcdacaddaccdcbbaadcba
+aacbbababdbaadddacbaaaccadddaccdccdcccdabcadbc
+ddaaabdccbddcdabddcbbcdcbbbcbbbcadcabadadababddbccbacdc
+dcdbababccddbadcabbadbdacbdaddabadbb
+abbaabacadcdcbbdcbcccbcdcccaaacbaddaabcbbbcaaaaaccbabbbddcdabaababadcabdbbcbddcd
+dacddbcaabbdcbbbcbcdabdbcccbacbbcadbcbabdbbcbcacabadcdaacb
+aaccbadbaccaadbdcdccacbccddddacddadddadcbdaabbdccacbaadabdbbaadbbcbddda
+dacbddabdabadbdbababdadcdcaababbcaddaccbbdaacdcbddddabccbcbadcddddcadbdaaddbdbbadddadadbbabccdacadabdaa
+cacacaadccddbcaaabaabbadbaacabcbbbcddabddbcacacaccbbbbdccbcccbcbbbbdddabbbbccababcdddcccadcccaaaadabddacdcbaa
+bcbdbdbaaadcaabba
+addbccadcdbcacabcbaaccbcdadaabbcdaaaaababcbcca
+bdacdadaadabadbbbcabcacddbbddadbcdabaaabdbcdcadcdcbcbbddbcabbdaddd
+baabbbbdccabdcbdcdbdcbdaacbabcbbbdddcddbdccacbbdacccd
+ccaadaddcbcddbbcaddbdabbc
+aadddbbddddbacdccaabbabacacddacacdacdcdcaadbcccaaa
+cdccddaadacbbdacadbaacbabbcbcddbbcccdabbbaaacbdcacaaa
+bbdacbccaabbbcaccbbcbaaacabbbacaabcbdcadacbabddcbbbbaadbdacbbdbcacdbdbbbbcbaacddacdca
+cdcbaaabcbdbdbbca
+dbbdcddbababc
+ccbbcdadddcdcccabcbbcdddadaddabcdbbaaacbddbacbadcbacdcbcacc
+ddbcbaaaaadadbcbabddbcacdddcadbbcdcaacaacdddbbabdcbcbdcdddcccbddcdcbbaabadbccabdc
+dabcbabdbbcbcbddbdcdcdbbccbdbacdcaccbcbbacdd
+dcccaaddbcdaaccbdcacccbbcdccabcbbcddcadbacaccbccdcbbabadbbaabaacabdcabdadacddcdacbcaccbbdcaadaacccacbcddcdc
+dacdadddbdbcacbdcbbddddbaccaddccbadbdbbcacdacbabcacddbcbadadaaaadcdcdaacbcdbddccbbbadcadab
+ddcbcdcdcaddbacaacadbaabbccadab
+daddaaabccbbbdddcbacacccccdbbbaccdaabddacaadabdaccadbddccadccdcbbdbbda
+caabdcbaabccabddcaaacdacddcbcdbbdcccbdbdcdbdbddccabcdcbaadaddcabbbaaaacbacadadcbdccbbc
+bbbcdadbdaaabbccbdbadbcacccddabcdb
+caaddcdcadbbadcacadbaaadbdcbbddbbbbddadddbdadbabdddbdaacdabccdcccaaabcdbbbcbcabacbabbacaaadbcbbaddcdcbdbabdcb
+ddadbbcdadddaabbdbdbdcbdbcdadcbcbbdaadbaddcdacdabadaabaacccddcbbbadbdabacbaccbbccbbdbab
+babcbabbadadbccdcbbcadbaaacbbbbdbcbbcbcdacabacbacaabdcbcadacbccdbdbabddcccadbcacdd
+dcaccaadbdd
+dcacaaaccdabdbbdddddacbacabcccbdbdcabbdbdcb
+dcaacdcbbcdadbddabdc
+57 21
+bbacbbabbdcbddcababccbdaacbdaaabdccccccdacccdbacdacaaaabdbccdcbdccadbbcbbccdbcb
+abaaabbaadaacdccccdaccbcccdadcababdddbaccbabbdaaddcaddcdcabccadcaabdccccb
+baadaacbaccdcbbbacdababcdadaccadadadddaaccbaadcbdcaddcacabaaaabbcdbcdda
+bbbdddbacbcdcdcacdbcabbadaadbbdddbaadadcadbacbbbbbdcccacac
+abbbcadaddcadaacdbddadbcaaabaacacddaaacdbaaaddcdbccaddadbaccdbcbccbdcdbdbdcdccadcaaddaddcbbdccccbdbaa
+aaabcaacccabdcbaddadcbbdcdddbabdbccbacdadabdaccacaccbbbaacdd
+dbadbbdcccccacdddddbaa
+dacbcaabcbcabbababbddaaccdabdcaacdcdccdaddadccc
+bbbdadcadcdaccdbdabbaccaabdcaaccbcacddcaccbdacccaacdaccbcbccbbbcaaaccbaccbbdaacadcbdddcbcccabb
+cbacdbcabcadadaacdbba
+caadddcccadacdbcbcccabadddcdaddccdacacacdbdcbdbacadccbadddacbbbdbaaadbbbcddbacd
+ddbbbcdccccbcabacddabdcacbadabccbbbdbadcaccaab
+bcbaadcaaabbcbabbdddabcaccbacbcbaacdadcabbddabbbdbaccbbcaabbdbcdbdaadbdcdddddcdbababadcbddbcacccaaadccbad
+aadaacccbcdabbcdcdcacbcabacdcaac
+bcdbaadacadccbb
+cddcdcbaccabbadcadaabdabccbddcacdccaabaddaacbbbcbabd
+acabbddcadcccbddbbdbabcaabddaaaaacdddbcaccdbcdcdddddaaacabcaabacdccabbcbcbabdabcdccabdbd
+dbdacbaabdbcdbcbdaaababbbcadaaddcbabcc
+cbabddbdcbbcaadcbabcaacdabacbbdbccbacdbacdbdbcdaadabadabcdababcbbadadbdbddacbbbddabccccbbcbcaccbcbaabd
+ccadcdabadccdaccddccacbcdddbcdacacabbcddbcddbdaaabbccbbbcacabbdddbadddaada
+acaaadbacdadcbaaccdabdbdcbdddadaddbbaabdbbcacdaaccbaadacccbabbbbcaabbcbbcbacdbdaacc
+cdddbcdabdbbccbaaddbdacccbbbcbcdcccbcabbadbcadcbdbdbdaadaaaadbbbbdbacacacadda
+cdbaaaaaacdabbbdabbaadbdddcdbcddccaddcaabcbccbdbcccadccacdbacbdbadaababcacaabbabcdbbbdbdcaadcbada
+bddaacadacadadbddbdacabdbcadcaaac
+adabcadbcdadcdacacbbababccddbacaaccdbabdadaadcacbcbdadababbcdcccdbddbcaddadbdbbdbabadcdabccbbabbbdadbbdc
+babddadaddcabdcbbbdcdbdabacdabcaa
+ddbbbbbccdbaaccdddccbadbdcdbdabaaaadccbcbacdacbaadabcdcccd
+bcaaaadaaddbdcbcbdbbbdbccbadabdadbddbdbdbacdacacbdbddbaadcaacadbcbdbbacbcacddccdcaadabacdbbdcbdbccabaabaa
+bcabdcdbcaaaadaaadbabbddbdcbaacaaccdcacbcaccccbbdcbab
+cbacbccdcdbbdbcaacbbaadaaaadabdadaaabcacccadbbdbaadaddccbdadcddacbdbdbacacd
+ccddbaccdbbabdccaddacababbcdbabccabaddbcdaaca
+abcadddaccdabbadcbdcbbacaacacabbcbdabccbccacddadaacdccccbccbaaabbadddbbdcbbadddabbbadaaacadcbda
+cbdbaccbbcbccbbdadbbdadaadacbccbdbbdcaccccbdbcaadaaddcdbdbcbaacbadddabddbdaabccdcddaac
+bbcaabbadbcdbbcabcabbaaaddbbccaadbbbcaddc
+dabbcbdacbabbdaaddad
+dbcbddbbacabbabaccaabbcbcdadcdcacddbba
+baabcdbaacadadddabbbdcdccaabddaacadcbbcddbcaccbbacbdbabcdbbdb
+cacaadbdbcbacdaabdddcaddddaaadacabcdcdabbcadbbcbabdbdcdaccbbadbcacabaca
+dccbbabdcacabbdbbdcccbadddabcbbdbbcaabbccabadadabadccbbabcbdadbccdcdcbbcabbcbcccacacacaaadbabdbccbcacabdaaacd
+bdcbaadadaaaddd
+cacccdadddbcbbddbbdbdaaccbdaacadaacdaaacacacdddcacadadbccdcbcccabdabcabdaaccaaddcdabddcdcbdbaac
+abddcabbddaabbadcdcadbbddcadddaaddabddcadbcdcacaadacaabcaccdaaadcaccdddbbcbbacaddcdbbaaacababaadccabaca
+cccbdbacccbbbbbcbdbacdccadbdccbdbbddbbcbdcadbcdabdabddbbadcdbdbccabdcdbcbcabdccbcbdd
+dadaadbccccbbbcddabdcccccdbabbdcbbbbbddaabacdcacbbdadacabdababcbadabcbacbbdacddcacabddbabdcda
+cdbbcabddccabaabddaabdbcbdaccaadbcadbdbdacdbcdaabbbbdaadadbccbd
+accaacbdcdbccbddccbbddcbaaacddaddcccaccaabccdbcdadbcabdabcaadcbcadbbbcbaadcbaaadaacacacbdadb
+dddcdbadcaccadcbcddbddacbdcacbadaacdaaaa
+cdcabdbbdbbbdbccad
+dddabaabbadddcdbadcbabaabcdcadcbaabbcdadaccdaaa
+cbcdadaadbdcadcbacbccdccdbb
+babddbcdccacdbdacbccd
+dacbcdbccbdacdacbbaadacbddadccdacadbcbdbdbbababacbbcccbccdcddbabccbbcbcdabbbcdcbbdb
+ddcbcbadbbbbacacbaddddccdacbaaaa
+cbbaadabccbccaabdbdacdaccacdbcbdcadaccdddaabccbacacccbdcabbccadbdcadcdcbcccddcbcbcddaaccddcbcccadacac
+ddbadbaddabbbbbcddbbabdd
+caddbcbdbbcdcbadcabbdadcbbccdabbcadbb
+dcbcbccbdabbdabaadccbbbbcbcbbabdbaadaccbcadbaddbbbcaada
+130 125
+bbbbbbbbabbabbbbbaaaaaaaaaaabbaabaab
+bbabaaababaababbababbabbbababbaababaaabaaaabbaababaaabbbabaaaaaaabbabbaabaaaaabbaabbaaaaabaaabbaaabbbbab
+abaaaaabbaababbaabbbabaaaabaababbabababaaabbbaaaababbbbaabaabbbbbbaaabababaabbaabbaabbaaaaaaaabbaaabaa
+bbbbbaabaabbbabaabaaaaaaaabaaaaababbbbaaaaabaababbaaaabbaabababababaaaabaaaabbbaabbabaabaababbbabaaabaa
+babbbbbbbaabbaaabaabaaaaabbaababbaabbbaaabbababaaaaaabbbabbbbaabaaaababbaaaaaabbabaab
+ababaabbbbbbbbabbbaabb
+aaabbaabbbbbbbaabbabaaaababaabbaaaabbbabaababaaaaabbbbbbababbb
+aaaaaabababbbabaaaabbbaaaaabbbbaaaaaababababbbababbaaabbbbabbbabbbbaabbbaaabaabababbabaaa
+baaabaabaaabbbbababbbabbabbabaaababbabbaabababaabbabb
+aabbbabaabbababaababbaababbaabaababaabbabbbb
+aabbbbbabaabaaabbbbbababbaaaaabbbabaabaabbbaabababaaaaababbbaaababaaabaababaaaababbbaabbbbbabbaaba
+bbabaabaababababaaaababb
+aaaabbbaabaaabbaabbabaaaababababbbbaaabbaaabbbbbabbbbabbbbbbbaaabaaaababbbaaaaabbbaaaabb
+bbbaaaaabbbaaaababbbbabbbaabbbbbbbbbabaababababbbaabbbbaaaababaabbbbbabbbbab
+abababaaabbaabbbbbbbaabbbaaabbbaaaaababbbabbaaababbababbbaaababaaaabaaa
+aaabbbaaaabbabaaaababaaaabbbbbabbabbbabbbbabbaabaaabaababbabaabababbaaaaba
+aabaabbbabbabaababaabbbaaabbbaaabaabbbabbaababbaababbaaabaabaaabbabababa
+bbbbbbbbbaabaabababbbbaaababaabaaaabbbbaabbabaabbaa
+abbabbbbbabbaaaaaabbabbaaaaaaabbbbbbaabbbabbbaabbbbbbbbabbaabaabaaaabbaabbabababababbaabbaaab
+aaaabbbbaabaabbabbbbaaaaababaaabbaababbbababbabbaabaababbbaaabbaababaaabababbababbaabbabaaaabaaabbbbaba
+bbbbbababaabbbaabaabaaabbbaaabaabbaaababaabaabbabbaaaba
+aaaabaaabbbbaaabaababaabaaababaaabbaaaaabb
+aaabbaababaabbbabaaabbbbbbbaaaaba
+bbbbaaaaaaaaaaabaaabbbababbababbbaaababbababbbababababaabbbaaaababbabbbaaaabb
+aaaababbbaabbbababababbbbaabbabaaabbabababbabababaaaaabababaabaaababbbbbbbabbabaabbbaabbbbabbaaabaab
+abbbaaababbaaaaabbaababbbaaabbaabbbabbaabaabbbaababaababababaababbbbbbbbbbaaababbaaabaabaabaaabbaaaabbab
+abbabaaaabaabaabbbbbababaaaaabbaabbaaaaabaa
+babbaabbababbabbabba
+baabaabaaabbabaabbaaaabbbaaaaabaaaabaaaabaababababaabaabbbaabaabbabbbbbbabbabbbb
+aababbbaababbbabaababbaaaaaaaaaaabababaabaaabbaabbabbabbaabaaaa
+abaaabbabbabbbaabbaaababaababbababaabbabbbababbbbbaabbbbbaabbaba
+aaababbbabbabbaabbabaababa
+bbbbaabbbbabbbbbabbbabbbababbbaaaaaabbaabbbaabaabbbaabbbaababaaabbbbabbabbababa
+babbaaaabb
+babbbabbaaabbbababbabbbaaaababbabbbbbbbbbabbbbbbabaaaabaabbbabbaaaaaabaaaaabaabbaabab
+babbaaababaabbabababbbababbbbaaababbababb
+aabbbbabbabababbbabbbbbaaabbaabbaaababaabbaaabbbbaabababbabbbaaabbbbaaaaaabaaabbbabbbbaaabaabababbaababaaabab
+abaabbaabbabbbbbbbaaabbbaaaaabaaabbaabbbbabbaaabbabbbaaaabba
+bbaaaaababbbbaaaababbbbbabaaaabaabbaabaaaaaaaabaababbbaaabaaa
+bababaabaabbbbbbaaaabbbaabbbbbbabababbaabaabbabbaabbbbaabaabbabbbbababb
+baaaabbaabaaabaabbababbabaabbabbaababababaaababababbaabaaaabbbababababaaaabbaaabbba
+aababbabbbbab
+aaaaababaabbbbabbabaabbbbaabababbbbbaaaabaaaabbabbbaaababa
+aaabaabbaabbaabbababbaabbabbbbbbbbbbaaabababbababbaaaaabaaaabab
+bbbaaabbbaabbbbaabababaabababababaabbaabbabbbbababbabaabbbabaabbabbabbaaababaabbbbaaabbaa
+aaaabbbabaaaaaabbbbaabbaabbababbababbbbbaaaabbaabaabaaabbabb
+bbababbbaaababababbbbaaaabaaaaba
+babbaaabbbabbbbbbbbbbaaabbbabbaabbabbbbbb
+aababbabbbbaababbababaaaaaaabbbbabbbbaaaaaaabbbaabaababbabbbbabaababaaaaababaaababbbabaaabaabbbabaabaabaaba
+abaabababaaaabbaaababbbaaaabbabbababaaaabababaabaaaabbbbbbabbabbaabaaabbaabaaaabaabbbbbab
+aaaababbbababbaaaabababbbbbaabbaaabbbbbabababbbaababaaaabababbbbabbbabaababbbbbabaaaabbbbbabbab
+aabaabbbbaaaaabbbaaabbabbbbbbbababbabb
+baaabaabbaaaabbbbaaaaababbbabbbaaabbaaaaaaabbbbbbabaabbabaabbaaabbbaabaaabbb
+babaabababbababbaababbbababbbbbaabaabbbababbaaabababaabaaabbbbaababababbaaabaabbbaaabaa
+abbbbbbbbaaaaabbabbbaaaabb
+aaababbabababbabbbbbbbbabbbbababbbbbbbababbbabbbaababaaabbabababbbabababbbabbbabbbabbbbaabbbbbababbbaabbbaa
+bababbabaaabbbbaabaaabbbb
+abbaaaababbabbaaabbbaaabbbbbbaababababbbbbbaabba
+abaaabbababbababbabaabbaabababbabbbaaabbaabbabaaabbbaaaabaabbaabaaababbbbaaaaabaabaaaaaaaaaabbaaabbbaabba
+bbabababababbbbaaabbba
+bbaaaabbbbbbbbbaabbaabaababbaaababbbbabaabbaabbbaabbbbbabbbbbbabbababaaabaabbaaaabbbbaabaaaaabaabbabbbbb
+babbbaabbbbbbabbb
+baabbbbbbbbaba
+abababbbbbbbabababbbbbbabbaaabbabaaaaabbabbaaaaaababaababaabbbaaab
+abaaabaaabbbbbaababbbaabbbbbbbbabbbabbabaaaaaaaabaaaaabbbbbaaabaaabbabababbaaabbbbbbababaaabaabaabaababbba
+babaabbabb
+baababaabaabba
+bbabaaabaaaabbbaabababbabbbaabbaaabaaaabaaaaaababbbbaabbaab
+baaaabababbaaabbabababaababbbaabbbbababaaabbab
+abababbbbaabaaaaabaaaaabbabaaaab
+babaababbbbaaabbbbabbaaaaabaabaaababababaa
+abbbaaabbbabaabbbbababab
+baaaabaabbbaaaabaabbababbbaabaabbaaaaaabbabb
+aabbaaababbbabbabbabbabbbaaaaaababaaaabbaabbbbbbababbaaaabbbaaaabbbbabbbabbabbabababaabababababbbaababbb
+aabaabbaaabaaabaabbbababbaaaba
+baabaaaababaabababbabaabbbabaababbbbabbbabbababaaabbaaabbbababbbbabababbabbbbbbabbbbbbbaabbaabaab
+bbababaabbaaabaabbbaaaaababbaababaabaabaaaaaabaabbaa
+aaabbabababbbaaababbaabbabbaabbbbbbbbabbabbaabbbaaaaabbbbababbababaababaaababbbaabbbbabbbbbaababbbbaabab
+abbbbaababababbbbbabaaaaabababbbbbaabababbabbabaaaaaa
+abaabbbbbababaaabbaabaabbbbabbbbaabaabaaabaaaaabaaabbababbaaabaaaabaabbabbaaab
+baaaaabbaaaabba
+bbbbbaaaabaaabaabbaaabbaabbb
+aaaaaaababaabbaaaaabba
+aaaababbbabaaabaababbbbabbaaaaaaabbabab
+abaaaaaaaaaaaabbbbabbbbaabbbbaaaaaabbbbaaabbaaaabbbabbaa
+aaaabbbbabbababbbaababababaaabbbbbbaabbaababaabaababbbbaaaaababa
+aaabbaabbbbbbabbbabbabbaabbabbabbbbbaabbbaabaaaaaaaabba
+baaaabaabaabbbbaabaaabaaaaaabbaabaabaabaabbbbaababaababbaaaabbaababbaabbaababbaaa
+bbaaabaaaabbbabbbbabbbaaabbabbaaaaaabbaababbabbababaaaabbababaaaaabaaaabaaaabbabbbabbbbbbababba
+baaaaabaabaababbaaaababaabababbbaabbbabbabaaaaabbaaabababbababaabbaaabbbaba
+bbabbbbabaaabbaabababaaaabbbbbabaabaaababbbaaabbabbbbbaaaaabbbaaaaaabaaaaaabbababaaa
+bbbabbbaaaabbba
+aaabbababbababababbaabbbbbabaaabaaabbaababaabbbbaaaaabababbaabbabbaababbbbababbabbaababababaaababa
+abaaabbbba
+aabbaaaaaaaabababaababbaabaaaabaabbaaabbaabbbaaaaabaabaaabaabaabbabbabababbaba
+aaabaaabaaababaababaabaaaaabbaaabbbabbabbbabaabbabbbabbbbaaabaabaaabbbaabababbaaaabbbaabaaaabaab
+baabbbbaaaaaaabbabaabaaaabbababaabaabbbaaaba
+bbabbabbababaabaabbaabaaaaaaababbbaaaaabb
+aabaabbbbaaaabbbaaaabaababbbaabbabaabbbbbbaaaaabbaaaaaaaabaaabbabbbaabaababaaabaaabba
+bbaabababbaaaaaaaabaaaabbababbabbababaaabbaabaaabbaabbabaabbbaababbbaaabaaaabaaaaabbaababbbb
+aabbaabaaababaabaaaabbaabbaaabbbaaabbbaaaabbbbbaabaaababbabaabaaabbbaa
+abbaabaaababbabaabbbabbbbb
+abbaababaaabbaabaabaaabbbbabbbabababbabbbbaa
+abbbaababaaaaabbaabaabbbabbaabbabababaabaaabbaaaabaabbbabab
+bbbabbbaaababbbaaa
+babbabbaaabaaaaabbaaaabbbbbababbbaa
+bbabbbbaaaaaababaaabbaabbaabbaaaaaababaabaabbaabbbaaaabbabbabbaaabbbaaaaaaaaaaababbbaaaaabaaaaabbabbb
+aabbabbbbaaababaaabaabbbaabababaabbbaabaaabbbbbbbbbaabaaaababaabb
+baaababaabbbaaababaaaaaababaabbbbabaabbbaabbaaaaaabbabbabbbabbbbabbaabaababba
+aababababbaabbbabababbabaabbbaabbbbaaababbaaaaaaabaaababbbaabaababaaabaaaabababa
+aaababbbabbbabbbaaaabbbbaaa
+aababaaabaaabbaaaaabbbbbaaabaababababbbbbababbbabbbbbbbbbabaaabaabbabbaabbbabbaaabaaaabaabbaaabaababb
+bbabbbbaabbaabbbababbbabaabbabbbbba
+baabbbabbbabbaba
+bababaabbbbbbbabaabbaabbabbbbbbbbabaaaaabbabbabababaabaabaabababababbaabababbbbbbbbabaaaabaa
+bbbbababaaabbaabbaaaabbaaaabaababbbbabbbaaaabaaabbab
+aabaaababbaaaaaaaaaababbbbaabaab
+aaabbbaabbabbbaaabbbbbbbabbbbabbbbaaababaa
+aaaaaaabaabaaaabaabaabbbabaaabbaabbbbbbbabbbbbbaaababbabbaaabbbbbbbabaabbbb
+aabaababbaabbbabbaaa
+baababbbbbbabbbbabaabbabaaaabaaaabbaaabbaaabbbabbbbaaabbbbbaaabababbaabbbbbbbbaabbabbbbbbbbbbb
+bbbabbbabababaabbaabbaaaababaaabbaababababbabababaaabababbaabbbabaabaabbaaaabbaaaaabbaababaaaaaaabbaabbabbaa
+baaabaaaabbaaaaaabababaaaaabaaabbabbababbbbababbbbbbaababbbabb
+bbaabaababababbbbabbbaababaaabaaabb
+aaaabbbaaaaabbaabababbbaaabaabaaaaaaaabbbbbabbabaaaabbbaaaaabaabbbbbabba
+bbaababaaaabbbbbbabbbaababababaaabbabbaaabbbbbabaaaabbbaaaabbbbbabbbbabbabbbababa
+aaaaaabaababbabbaaaaabbaaababababbbbaabbaabbbaa
+abaaaabaabababbabaabaaaababbabaaabbaaabaabbbbabbabbbabbbbababbbabaa
+bbbbabababbbbbbbbabbabaaaabb
+aaabbaabbbbbabbbaaaaabbabbaaabbbabaaabbabaaabaaababababb
+283 27
+bbbbccbbabbcacbaaabbbbcbcbbbbbbbacbcbccabaabacacabbab
+cacbccbacacccabbbccccbccabcabbbbbacbacbbaacbcaaacccaaacacccabcabacaccaccc
+bcaabaababccccbbcbabbbccbccaabaabcbbcababbaabcaabbbbbbbcaac
+baacabcccabccbbcaaccbabbabbccabcbccccaacccaaccaaaabab
+cbaccacaccbccabbbbabcbbbabbcacbbbcbbcbababbbbacbbbaccaacabcacbabcbcbcbbccbaaaaababccccacacaabcbcbcacbcaca
+bacbcbcccabbaca
+bcbccaabbcccabcaaccbccab
+aacbbabbaabbaabcbcccabbacacbababccbbcbcaaaacbbbbbbaababaabbbaacbabacbcabcaacccbccbbacbababbab
+bcaacbbbcbcbccaaaccbccabcabaacabcacbacccbaaaaacaabccaabacaccacccbcbc
+cabbcbaccabcbccccbcbbcaa
+ccaaacbccaaabcbababcbcbabacbcbccbbbcbbbcaaaaaaccaaaabacbcabccabbbccabcbcbbbbbccbcabacbacb
+abacaacbbaaabaabbabbcbccbbabbaaabcaccaccaabbbcbcacabacabbbcaaabcbacbaaacbbcaaabbc
+ababcbbaaccbbccabbcabbaabcabbbcabbbaaacbaaccbbacbbcbcbc
+abbbcacbabaaabcabcbb
+baaacbacbbaabccacbbccaacbbcbbaaccccbbcbaabbcbacaccbcaabbcaaaaacbabcaabaaabbcbbaabcaacaacacccb
+cbcbbbbabaaaaabcabccab
+babacaacbabccabcccabaaabbaaababccacabbbacabacaa
+acbbaccccbacbbbacaaaaccaacccbacacacbbbcbcbcccababababcbcaabbcacbbaca
+bacbcbbaacccbcaabacbbbbbccbcbabccbbcbbccaabbaacccbbcababcaaabcabaccababaabacaacbaaacaaabbaccabbbcacacbabbbcc
+acccbcbbbbcbbbbbcbbbcbbcaccaaccbbacbaabcccababcbaaaccbbcacababbacccbbbbabcacaacccabbaccbbaabacaaabcbbacc
+ccccacaabbcaabcbbcacbaabababcbaaabcbbccccacabccabaaaabaaacbbacacacccac
+cbaaaabaacbaaabaabbcabcaabbccababccbabbacbbbabcbcccacccbcbbacbacacbcbcabbababacbb
+cbbcabaacabcbabcbbccbacbacabbbccaabbbacbcbcabaaaabbbcbaaaccbcbcbcabcabcccaaca
+abaabcbbcccbbbabcccbcbcbbccbcabcaabcabccaaabbabbbabbcbacaabbcabcb
+bacaacbbbbab
+bcabbaaabbbccaabbaccc
+bcaaccbbbbbcbbcbc
+baabaacaccbcaacaccccbcababaccaabbccccaabacbcbbacababaaaabbbbacacacacabcacbaababbbcc
+abcbcbbacaccccacbbcbabacbbbababbcabbccaaacbabacccacaabcccabacbcbbbbbbaac
+accbbbabaccbbbccccbbcaccbaaabaaaaabccabcaccacabbbabababbbccaacacacbabcacbccaccccbcbaccbaabbaabaababbbccba
+aaabbacbcacabacccbabccaaabaabb
+bcbcbbbaaaacaaaacacaacaabaacaaababaaaacaaccbaccbabacbccbbcabbbccacbaaaabababcabacccbbccbbcaaacacacccacac
+bbbbcaccabbbaaabacbcbcbcbacaaccbcabacbcacbbbbaacbaabbaababaaccccbcbccabcacababaccacccccabbbaacbababbbbcaaaac
+bcbaabbbcbbaacbbbbacccbcbbcbcbbcccbcbbabcaabcbaaacaccbbaacacc
+bcccacabcbabcbccababcbacaacbbcbbaaccbabb
+aabacbaaabaaaabaccabca
+baccbbccabacaabcaabcaabccbbcbaaabbcacbbc
+abbbcbabbbbacbbccaccbaabbcbaccacaaaabcb
+babbcaabbccccacbcacbabbbbbccababacbbcbababcaccccaabccacccbcaacaababbaaaaaabb
+cabaabcacba
+abbccabaabacbbbcacbabcabcacaacbbcacbcbcaaacaccaacbaabbbbacacbbcccaabcabbacabacccbbaaababbacbcba
+bbbbaccabbcbacccbcbaacababccccabbbccacbbbbbcaabacacbbaabbcccaa
+cabacaabccccccbaacccaaacaacccacbbacaa
+aacabbababbbbbcbccbacbcabcbccacbbaacab
+bacbccabbacbb
+acaaacbbcabacbcaaaabcabaabbcacccabacaba
+bbaaacbaaabccbabaaacbacaccabbabbbbcabcbacccbcbacbc
+accbaabbaccacaccbabbbbcaccacaaabacaccacacabccbaab
+abcabbbacbcabcaaacabaabbbbcaccaccabacbbbcbaccaccbcbaaccaccbbbcbbaccaaaccabacaacaabacaaacbcaba
+abbacacaccacaabaacbabcba
+ccabaccaccaccbcbbcbbabacbbccccccacabacbccbccab
+acbccaaaca
+ccaccacbcabbabbbbbbababacbcacccabaaccccbbcabcabacbabbacbbaabacacabacabbcabacccccaccbabbaaccbbaaaa
+bbcbcbcbaaabcbcbccbbbabbbcbacabaccbabbababbaacaaccbababcbacc
+abacbbccbcbabacbcbacabaaacccccccabccbccacbcccabbbcbaacbbbcccaccaccbbabbbabbcccaccbb
+acbbcacccabbbacaaabbcbcbacacbaaaacabbbaabbcbcaabcbabccaaccbabbccacabbbacaccaaacbbaacbbbcabcaaccb
+bbcbbbbcacccabcaccbbacabaabbccbbbbcabbcbcabccbacccacabaacaacbccababcaacb
+bcbcbabbbcbbbbacccabcbcaacacbbacbaaabaaaccbcaabbbcccaaabbbacbcaababcbaacbcabacccaccaaccacbacabcabb
+acaaccbabbacbabaabbbabbcacaacacaacaabbcbaaccccabcabaaacaaacbcccabbacabaaaabcabbabba
+accccccbcccaccabbbacacaa
+ccbbcbbbcccbcbaacabaacbccbacaaabaa
+abbccbbbcccccccabcbcacbccb
+cbcabcacacbcbccabaaaccbcbcaabbcabccbabccabacbbbabacbcbcbacbbcbbacbc
+abcaacbccabab
+bbbaabcbcabacbccaabaacacbbacbcccbacccacbcccbabcbaabccbbcccbabbabcbcbbbccacbaaaaabaccb
+ccccaaabbcabacccbcbbcacaccbbbaabaccbcacaaccaabcaacccbbbabbcbaaabbbcbb
+ccbcabbbbbabbbaaccbabcacabaaaaaaacccacbbccacabbbbaaaccaccbbacbacbcacabaacbaabccabbbabbabababacc
+caacbbcaccbbacbbbbacbccbbcbbbacbbacccbaacabacaabbaacacacabccbccabcbbaabaaaaacbcabbabbaaababababacc
+cacbbbcaabcbcbbbcbabacbcacabcbbbaccabcbcaabbcabacabcaaabaacbbcaaaaaaabbcaccaacbacacabbaccbbbccbababa
+abacbbbccacccaaccbaacbacacccbacccbbcbccccccbbccccbbbcbbbcccbac
+abcbbacbcbcbcbcaaccaaaabacaabcababbaabcaccbcaacacbcaacbacaabccaccbaabcccbcccbaabbbcacaac
+bbccacbcaacbbbab
+aabbcaacacb
+bbbcaaccbcbccacacbaaabacbcccaabcacabcaccbbbbbaacbcabcbcba
+baaabbbcccbbbaccbbacacbbcbbccbbccbaccacaacaccbbbbabcbcbbbbacaccaccbbbcbbbcababbbcacbaacbabb
+bccaabacacccbabcbbacccccab
+ccbccaccccbac
+ccbbbcabcababcbcbbcaaabacbbcbabccccbbaacaabbaaaabcbbbabcbaaacacacbcacb
+bcabababccbcbcbcababccbaaabacacbaaabcccbcbbacabaacaababcabcabaabbacbaabbbabbbcaabbbbbccbcbcaababacacccacbcbba
+abbaaccbacccbbacbbababababaaaaacbbcaaccbcabbccbacbcacbcababbbccbacccccaacbbacc
+bbacbcacabbacacccccaabaccbbaacccbacccbaabbccaacbbaccccbccacaabacbbcbcacbbabbacbbbacccacbbaabccabcabaaaaa
+cabccbcaccccabca
+aabcbcabbbbbbabaababbcccbaccbbaa
+bcbcbaaccbaccbaabababccbccaaabcabacacacabbcbbabbacbabbbabcaa
+accabcbbabccbcabbbcccacabaccb
+aacaaabbac
+bcbbcababaababacacccbcacaaccbabcacaabbaccacbcccaccaacbaabbcabc
+abcccaaababbcccbacabbacbaaacbbbcccabbcccbaa
+ccacacabbbcbcacccbaaaa
+aaabaccaaabacabaccbaaabcbacbacacbc
+acbbbbaccbbcbbbcbbacbbcbaacbbaabaaccbcbaabcca
+caaaccaaacc
+abbcaaacbabaacacccbbacabccabcbacbaacbbbbc
+bbaaabcbaacccacccacbaaaacbacbabbcbcbbaacaccbcbaabacbcbcbcbcbacabaabccbbabbaaaaaaccacababababbcbbbcc
+bcbaaabcabbbacbbbccbbabaabcacbccccbabcccbccbcccccbacbababcccbbacacaccabbaab
+cabbbbcabcbbbcbbaaacbabbbaccaccaabccaaacbcbbaabcbacacbaabacacccb
+cccbbccabbaaabaccbaabcbbaabbabccbccbaacbbcbbbcbcbabcbcbcacbcaabcaabb
+bcbacababbbcbcbbbcacbaaaccccccabbaaccaababbbcaaacabbabbbbabaabbabccaacacbcbcbbcaabbbcacbcbaaabcabccccccabcbac
+acbabcbabbaabccbbccbaaccbccbabbcbacaaaccbaabcaacabaccbaabacaacabaaaaaabccacbbcbbcbbbcbaaccaaacccbaacabcbb
+aacabbcaaacbbcabbaccaccabcbbb
+baacabbbacbbacbcbcaaabcbacacaaabaabaaabacaacb
+babacbbccbb
+abacccbabcabbbcbacbacbaabcbcababbbcbacabcbccacaaaaacaaccccbaac
+aabbbccbcbcbbbbaaabbcbbaababbabacabcbaabcaaccac
+bcabaccabbcbacaccbaabacababbaaacbbcbcbacacabbbcabacacaacaaacaccabcaaababaccacbcbabbbcaacbaccbbabaccccacacbaa
+bbcabaaccacaacbacaababcbaaccbcbbcbcc
+babaaaaacbaabaccaaacabcccba
+ccabaaabaaabbccababbcaababaabbbbccabbbacbccccccccaaccbbcbbccbab
+bacaccbcbbbcccbaaacbaabccccabbbbbcbcbbacbacbbbbc
+ccbaaababbbcbba
+bcabbbbbaacbccaccabbccabcaaabbacbbbcccaacbbbcabbccac
+cacbbbccccacbabaccbbbbbcbbabacaccacbbcccaabccabcbbacbbaccbccabbcacbccacbcbacbacccbaa
+cbbcbabbabacaabbacccbcccbcccccaaaaabcbbacacbbbcccacbaca
+cbcabcbbcaacbbcacbaccabbabbbacccabaccbaabcacaacbcbcccbcabcb
+aaabbbccbbaacbbbacbaccbbaaaaacbbcbb
+acbbacaccabbabbcaabacabccabbccabbcabcacbbbccaacbccaccbabaccacabaaaccabbbccccbabbcb
+ccbbababaabcbacbacaabbcbcbbbacaacccaaacbcccabcabaaccaacbcbbccbccccacbbbaccaaaccbabaaabcbbbccbbabbbccc
+babbacabacbcaabcaabbacaaacbbbbbbcbcabcbaacabcccabb
+bbcbbacacbcbcaaabccacbacbbabcbcbcaccabbabbaaccccccabaabbbcbbccabccacacab
+abcacccccacbaccbbbcbbbac
+cabcccacbabcaabbcacbacbabbabaccccaacbacbbbabbaaaaac
+cbbbccacabcacabacacccccacbbcaaccbcacbaccbbbaccaaabccbcbabacabaacccababcbc
+cbbbabaacabbaaaccaaacacaaabbacccccaaaaac
+bcbccabbabbbbbacbbbccbabccbbaccaaababaacaabbbabaabcbaabcccaabac
+bbbaaacbcabbcbbccaababcacbbbcacacccabaaaababcbaabccaaacbcacbabcaccccbcabcbcbaaccccbcbcaacbacba
+abacaaccbbbcaacbacaabcbbaaa
+cabbabaababcacacbccacbacabaccbcacbbbacbab
+bbabbbbbccaaaccabcbacbcabcbabcacabacacaabaccabbcabbacbbbcbbbcbbabcbcccccabbccabbbacaabbcccccb
+cacccbabbbaccbccccbbacbba
+ccccbccbbcababacccabaaacbacaaaacacabbcabbababacabbaabcbabbabb
+baaaaaccacccccaabc
+abbbbacaccccacbaccbbbcabaabaccbacba
+bcbaabababbabbbbbacbacbcbbbbcccbaabcaacbacccbcbccacbababacbabcbcabbac
+bbbabaaabbcaabacbaccabcbacabbbcbccbabca
+bcccbcbaccbbbabcbabaacacbacacbbacccaccbbacccaccccacacaaaabacbaaaaaaabaabaabacbcccaacabcc
+babaaabacaaaacacbaaccccaaabccbabbbacbbaacbbbacaabacaaabaaccacabbcccbbcbaccbbcabbccacabbbbc
+cbbaaabbbcaccacbbbccbb
+caacaacbabbaaaaaacccabcbcccccaccbaabbaabbbbabbabbaabac
+bbcaccbcabacbbabcbaccaacabcaaaccbcbbaaaacbaccbac
+acaabbacbbaabcccacbbabaacccacabcbaacabaabcaaacbaabcabcbaacccccbaabb
+bacbcaaaabccbccabbcbacacabcbcbcabaacbbcbbbabcacbabbacacbcbabbaccaaaabbba
+caabcbabbcbcc
+bbbaaabaabcaabbaaacaaaccabaaabcaabaccbbcbbcbbacacaaabbacbcbbcacabbcbbacbbcbbbaababbcbaaabbbb
+abaccaabbbabbabacabaaaabcaccaccbccbabaabbcbccaabacbbccabccacccbcaacabaccbaccabbaababacacaaacb
+cabbcbaacccacaacccbaaccaabbcaaccbabbaacabccabacacaacbccbccacbaacccbbbbbaaa
+baacbcccbbccacaacabcabcacccaaaabaabaaacacabbacbababcbbcba
+aacbcbbbabcabcbbbccaacaa
+aaaaacaacbabbbbbacabcbbabbbacaccaaaabcaaaacaabacabbacbacccaacbac
+bcaccacccbabccabbbabacbac
+cbcbbccbaabcbbacccabbacaaabaabccccccacaabccbaccccabcccaac
+acbcccbcabaaab
+bcbacabcabacbabcaacbcacccbccccacbbbabaaabcacaccc
+bbbaaacbbbbbbabaccbbbcaaabbbbbaccbcbaaaaacaccacbabbcabcabacb
+aabbaaccbccccacbbbbcbabbacbbccbbbbbacabcccbabca
+cbcbcababcabaaabcabaacbaababcaaacacbbccaaaabaabbcaccaabcababb
+cacabbccccbacaabbcaccbabbbbacbacabacb
+aabccbbacaabaaabaccaaabcbbacbbbacbbabccccacbaccaaaccbcbbbcaa
+bcbcbacccccbcbbaabaaabbccaaabbcabaaaabac
+ccaabcccbcacaaba
+bbaabaabaabacbacbacccacaaca
+cbbaaccbbcaabcbacbcaabcaaaaccacaccacabccbbaccbcbaabcabbbbbbbacabbabcbbacbabbaccccabcbbbacccbc
+accabcbaccccbbbbabacaaccbaaabcbacaaabaacaaaccccbbbcbbccabb
+abccbbcbccccbbabaabbccbbabccbbacaaabbbaabacbcacacbb
+baaaaccbcccbbbbaaaabcaaabcacbcbabbacbcaaacba
+abcaacaaaacbcababbabbacbbbcababbaabacabccaabcccbabcaaabbacabcbbbacaaabcbabbabcaca
+ccaababbcbc
+abccccccbacbbaabaaacaabcaabcacaccacacaacccccaaabaacbbaabbacabcabccbcbaaaacccbbcccccbcbbcccbaaacbaaaacbcbb
+bccaacccbacbacccbcacacbaacbaccacacbcbccaaaccababbcacbbabbb
+babacbcaaacabaabcbacacbbbbbcacbbaaacaccc
+cacbaabbbbbbbbccaababaabcccbaccacbcabaaaacaabacbbcaaaaccaaccabaabcbabcccaaabcbabccaccccbabcaacaacccbab
+ccaaababaccbabcccbbccaabbccabcbaccbacaaaccbbbccaacaccababaacaabcccccabbbbcccccbaabcbabcbccccbaaca
+bbbbaacacccbbbacacbbaaacca
+cacbbccbaacbcbbbabbccbbbbbccbabaabacaccbbcabaaaaabbcabaabbbccbcabacaabbacbbaacbabba
+bcbaaaccbcbbbacbbbabbb
+cbabccaabbcaacaccccccccababbabcacccbccabcabbba
+acbbbbababcabbaccabbcacbbaccaabaca
+cccccbbaaaacccbacbcacbbabbbbcbbcbabcbaabaabbccaababbbaccbbbcacbbcac
+cbcababbbaaaccacbaccbccbbaccaacaaacaccbacccacabcbbcaabbacbacbccbcccacaacbaabba
+bbaccbabcaabaababbcbaaccbbaacbbbacccbabaaba
+baabbcbbbbaacbcbcacaaabccccaaacbaacbcaaaabacbbbcaabababbcaccacccabcbcbcaaacacaccbba
+caccbbcccac
+abbaccbbccbacbbcabcbacaaccabaccbaaccbbaabaabcacaac
+caababcccaa
+cbbacacbbaacacccaaccabb
+aacabbaababaaabacbcbacbbcbbbcccbbacbbcbccbcbcabbcbbacbcaababbcccaacabbcbbccaccbcccccbaaccbcbbbcbbbbaaabbcaab
+bcccabaccbbcccbaacaababbcbaacacbacccaababbcaacbcbbaaabaacbacaabbbbcb
+cbabbaabbcbcbabcbabcccacaacacbcbcabcbbbbaaccaabababaaacababaaccbaccbcacbcabccccabbcbcabababcaabbabc
+bbaacbabbccabbacbbaccbcabbbab
+cababcbaabbaaccacabbcaaaaaabccccbaab
+bbcacbacacabbbbacabccccabcbbbaccaacabccabaaabbbbbbbccbbbbaababaaabac
+aacaaaaaba
+bcabcbabcacabcbaacaabaacaa
+cbbcccabcacabcccbcabbacacabcaccaaacccbcbbbccbccaaaacbbbbaaabbbbacaaaccacacccbcbcaaacbc
+aababccbaacccabcccbbbabacbbcbacabacbcccacaca
+cbcbcabacacbccacbcbcbbcbabccbacabcccbaaacbacaaacbbcaacbcbacabbbacccbbaaabccccabbbbbaccbcbaabbaaaaacabcaabacca
+abbcaaacbabaabbbccacacbbbaccabcbbbccaacbbccacabbcbbbbabacacbbacbcccabaaacacaabbccacbabcbcc
+acbbbccbaabbaccaaaaaaaaccbcccabbcbcaaaabccc
+bcbbacaccbbbbcacaccbbcabbbbbbcacabacabaacbababcccccabbbaacbcaabcacabcbbcbbbbbccccacbc
+acaccbababacbcbccbbacabbcbbabbcbbbccaabacbbbbcbbaccbbab
+aaaccbbacbbcbccbabaabbccaccacacbbacccbcbbaaccccabbabbaabcacbaaacaabcccabccbbcacbacabcbaacbaaccbcaccaacbaa
+abacccbcccacbbaabbbbabacaacaccbcbacabcabbaabacbabbacaaaacb
+aaaacaabcbacbbcacbabcbbbcaaaaaabccbaccbababacaccacbabaaccbacabbccacbbccbbcbccbcbbbccbcacaabcbbbcaaacabaaaac
+acaaccbbbcbaaccbccaac
+aaacbacaacbaaaacaabcacaaccababbabaaaaaabcbbababbbbb
+caacababcbacbbcbcbacacbababbaaccaaaababb
+abcacbcbbababbcccabcaabacbcacabcaacbbbbaaaacbaaa
+bcabcccacbbcbccccaacbcabcacaaca
+bacabbcbbbbbabaacaacabccccccaccbbcacbcaabbcabaccbbcacacaacb
+bbabccccccaabcacaaccccbabccbbbabcabbacaabaabccacaa
+bbbabaabccacbbcaaaacaacaaabcabcabbaaaaacbaaaaacccbcaabacbbbcbcccabbcacccabcbcccacacccbbabababccababcbaaaacabb
+cabacaabacbacbcbbbabaccccbbbccaaccbbabacbbabcca
+abccbbbacbccaacbba
+bcbbaababbcccabaaccaacacabcaabbbccbcaaaabbbabaabaaab
+bbcbbabccbcbbccaccbbbcbcaabababbcbaaacbcbcccaaccaaacbbaaaccb
+bcbabaabbcbbcaccaacacccabcbbaaabbbbacbbccbbcbacbcc
+cbccaccbabaaacabbcbaabcabccbbcbcaacbabcaabbcacaacacabaaabcbbabcbabbccacbcccacabcacabcbcabca
+bbcccbbcccca
+cbaaababbacbabccccbbcacbc
+cccbbccacacaaccbcacbccccbccaaacaaa
+ccacbaaabbbbcbcbcb
+abaaabaccabaaabcbaacbaacabcbbbbcaaccaccbbccbaacabcaacabacacaccbbcbabcab
+cbcbacbbbccccbcaa
+babcbbbbacaccacbabacbccacbcbabbababcbcbabbaacbababbcbbaacacac
+abcabaabccbbabacaaacabbabcbabcabacbbababaccccccbbbaabacaccabacbbcbcbbaaaaaababacbcccabbacbcbcbabcbcbbcbba
+bbbbacbccbcabbabacacbaacacbcabbbcbbcbaacbcabb
+baabccabcaacbcabaccabbccbccacacbaccccaaacabcaacaaaabcccabcacacccbbbbbababbcbbabcabca
+accabccaccbbbbbbbacb
+ccbaaacaccababcacbbcabbbbbbcababaabbabaaacabaaabbaabbacbcacaacaaaaba
+caaccbbbcbbcacabaccbcabcabbcbcbacacbaabbbbbbbc
+bbccacbcaccababcbaaaaaabbaaccbabbccaccabcbccbbbbcacbccbbbbbacaabbacabbccabcacbcaaccacbcbcabbaccbb
+abaacacccaacbb
+acbcbccbcaacaababaacbcbcbcccabbabbccabacaacbbabc
+bbbcaabbbbabccbcccabbacbbbcaacbbcbcbbbcbbbbaacbbbcacccababaccbabaabaacbbbcbabcccbcaabcbaacacacacbaccaaacc
+bcaabccabbbcbbbabcaccbcbaababacbcbcacccbcbabbccbcaacbbbcabbaabbcabcbcbcbbccac
+babaccbccacbbcaaccbcbcaabbcccaccccbaccbcaaaabcbabacbcabacacbaaacaccac
+caccaacbccbbababaccbcacb
+baaabbccaccbcbbcbcabcbbcccaabbaababbcbaabbaaabcb
+acbbcbcbbabbaaccabacccbcaaaabbcbcbcbbacbcbacaaaa
+abcbccccbcaccbbaaaccacaaaaac
+babaaaaaaacbcaccaacbcaccbaacccbbabcbbccaacbbabbccbcbbaaacbaccaba
+aababbaabacaccccababcabbaabcacababcbcbbcabaabcabbbcaaabccabcaa
+cbccbacaccabcbbbbcbcbbbabcbacacbbacbcbbcacbcbb
+cbccabbbbbbacabbabbbbccbbaabcbbabcacbcab
+abaabcaccabbccbbaabbcbabacabccaaacacacbccccbbbcaa
+cbbcbaaacccbcbabbbbbbcbbbbbacaacbcacbaaacccbbbaacababbbbacabcbabcbabaaabb
+bbccabcbcbaaaccbbacaccccbbccbabbbb
+abacbcbbaacbaacbccbaabbbacccaaaccaabbabbbabaccbcaab
+bcbaccbccacbaabacbbacbacbacaaacaabcbabcabaaaabacbaabcccaaababccacccacccaacabbcbccab
+cacccacaacaccbabcaaabbcabbbccccabcabaaacbccaacbbbacabbbaacbacccabcbcccbbcbacabbcbabbaaccba
+cbbcabaabbccabaabcbcbaabbbbacbbabcbbcbcaabbbbbabbbaabcbabacbbccbaacaababcabbbcbbaaaaccabaabbcccabcbabba
+bbaccbababcbcaaacbcbbabaacabcbbcbccbbcaacccbbccbbbacbbbbcbbccabaccccbbaaabaccbacababbccbbccaababbcb
+cacaaccacabbccbabacaccabcbbabccaaaabacaacccabbccbbcccaaabccbabaacccbabaaccabbacacaababbcccbcaa
+cbbababbbcaabbbbabcbcacccbcacbbaaacaacaabaccbcccccacccaabcaaabbbababa
+cccccacccbbcbcaccaa
+caabcbabccbccaabbabcbcaccbbbcaccabcc
+cbbaccbacbbaaacacbbbccbaccabcc
+bcbcbccabaccaaaaaabacacabbabcaaacbcabbbcaaaaccaaacababacbcbbbacccabcccabbaccababab
+bbacabcaabbcbcbbc
+acbaacbbbaaccabbbbabbbaacabccacccabaabcbbabacaaba
+ccabaacacaccbbcbacacaabbaacabaaa
+bbbbccccacccababaaacabcccbccbccaccbaa
+aacacabcbabacbcabbbaaabaaaccaabccaababccaaabbcacaccbbacabbbbcacbbabccbccbbacccbccabcbab
+cbbcbccbaabccaa
+bcccccaaccbccacbacacbccaaaaabcbacaacbbbacbacabaaacbcbccbcbc
+ccbccabcacabccbbcacabacabbcabacbcbbbcacbbaacbabcbcccaacacbbcbcbcb
+caaaaacbcccabcbaaaccababbbcbbbcacbcaaababacabbcaaaababaaaabab
+babaabcabc
+abaacabcbccabacacbcccaabaacbaac
+cbbbbaacaccccaacacbcccaabacbcba
+abbcccbbbcbabcbbcbbbccbbcacccbbcaccacaaaabcaacabaccabaa
+cacaaaaccaacaccbacaababccaabcbacabababbacbbcbc
+cbbccaccacbccabcaacacbbababccaabbcbbacbccbbbaccbaabbaaccacababaabbabacabbccbcabbabbcacaccbcacb
+aaccacbcacacacabbccbacacaccbcbaccabbabbcaabbbbbccccb
+cacacbabccacccaacbabcabacaabcabccabccaacbbbbbccabcbc
+cccccaaaabbcbabcbaaaccaacbbacaaacabcabaaacbbabcbbcaaabaacbcbbbbcbbaca
+accabaacaccccaccababbbbccabbccbbbbcbccccabaaccaacccbcbccacabab
+aabaacbcbcaabcababbba
+cacabcccbcbaabbaacacaaacabcaaccbccbcccaccbc
+baccccacbbbcbcc
+ccbacbacababcbbbcaccacbbbaccbbabbbaaabaccbacb
+aaaabccaacaac
+bcacababcbacaaacaacabba
+aacaabbcccaaaaccbaccaacccaccaabbcabcaabbccabaaacccba
+282 139
+dacdccbbaccacaddbabccddbacbbadbddcc
+bdacdbdadccdbdddcbcccbddbbbdbbbcaabcdddcbaaddbdaaccadcabccdadcacadcdccacabdad
+bdbbacdcacdcdaadbdcbcba
+cacabadacbdbccddcaadbdacbbaaadaacabbdbccccdbddcccdcbdbcccabcdabaccbd
+daccdcabdbddbadbbbabcdababccddaacabbcbabcacbdddbbddadc
+dccbcdccacabcbcdbabbcbccabddbdbcababddbbadc
+adadaabbbddacdacaddbabadbaaddbacdbca
+dcbccbdaabbabcbbcacdbdacdabbcbbccdaaccaabcacbaadcabbccddcdcba
+dcabcbacabcdcc
+ddcaaabdbdd
+caadcadcbcdcddacacdaaacacdadbbbabbababdabddccbdcadcbdcdbdcbddddbaaddbddcdabcacbdcccadcbadddaac
+cbcbbaccdddddcdbaddaabddbbbddabaaaabbbcdbdbcddccdbca
+cbccddcabbcdccaaadcbbacbccdbccabcddcacbdbdcdaaccadbccdabadbaaabaacdca
+acbbabacaccbcaddbcbbcdcdcadcabbbccbbdacdbddccdbcbcdbdabccacdcabcbadadcddaacddcdbda
+cbcdcdcadabbbddababcbdadbcacbcbcabcacdbbddbb
+cdabddbdbabababdbbacadacddabcdbacddbcabadadaad
+dddcabcadbabcabdbbaaaccbbdcbaadd
+dadabdcdabbbbabcbaadbacdaabdddccddbdbcabcbbbccccccbbdddaaccabdabcdcbcbacbdcbcdcbb
+abbddadadddadcddadbbbcaaadbaaabcbbcbccbdcabacabcadccbccbabccbbcddadccacbbadacdbccacbbbbbcbadcab
+babadcacbccaccadbacbdcbdccccbacacccaabbabcbdabaadcdacaaababddcadabddabcddcaaacdbc
+ddabbadbdbdcaacbbdcbdddacbcddcdddaddabbcdddbbadddabadbdcbbacbaa
+aabbddccaacababaca
+cbaabdbdbcdcadbddcbccaabaaacdadaccabccbcabcaabbadbadaccbabbbdddbcbaccdabbbddadcdaaa
+aadcdcadbbdccdddabcdbacccaaadacabccbdcbcbdcabaccbdabcbadabddadbdddccdaacdcdcccdcbccbbcb
+dacaabbacabdbbccbcaabdcbcaddadadabcaddcacdbccdccddaddbacdbccbcacadabaadabcaabacbdaaddbcdc
+badabdbcdcddddddaccbbbacdbacaccabadcbaacdccbdaddbcbccdccbddca
+cadbdcbccbadbccaacdbbddcbbbdcdcaddcacdbdbcadbbaaacbadbcbbbbddcdbbabdccbdaaabbacdacabdaacdbadcbbacadda
+ccdddcbdadacbaabaaacbaacddcbdddacbadcacbddbdabaccdbdcbbbcacadcbbddbbcacabcbbcd
+accdbdabadbaadacbbddbccbacbbbbcdccbbabbbaaabbbcbbababadabbcacccabbbdcbcbcabccccccb
+bbdbabadadcdaaccababbcdcaacccdcaccbbdbccbdaacddbbdacbdbdbcabcdcddcdcbacabcdddaaddddbdcdbadcaacbdcdcbbbaacbdc
+abbdadbccadbddbcbbdabdbaccabccddacbbcdbaccdadcbcdaabbabdccddd
+babdcdddacabdccbbccbcdacdcdaaccadddbaacaabbddbcdcb
+acdbbcdddacbadcdbbbdbbbbaacccdcddbabbaaaadaaaaccbbcabdaacbdcdbcbabbcdcabbbbbbbaacdbabadccbbdbaa
+daddabdbbaaacdcadabdbabbcbcbcadaac
+adccbabcbdbbcdbbbddacaddcadcadbdcddcdddcaaddcacabaadcacddcaaacbcbddbbbccababdaaabaddddcbabbb
+cddbdccadccccddbdbbdcabacdbcaacddbadcdddcabcdadaccddcdabdadbdbcbcbbdaccbdbdbcdddba
+ddabdbbbcbccadcadadcbbcabaadbaaacadbaddcbddcabbcbaaaacbbccadbbaadbdcd
+caddcbcdaadbdbaacbdabcaabbbaabcaccbb
+bcaddbdaabddbcddacccbbadbbddacaaadabacddbbdacbbdcaaddaadbaaaaabaadabbdcaaaddaa
+abdcadcbbbacaddaddddbacdcbcadbbcdccacdaaddbddaadccbacdcbdacbabcbabdccdaaccabcbbaaabbbbdaabcb
+dacabbdbbdaadbbbbdbbadcdabbbbabadcaabacaddbdcabdbccdbccacbddccdacbbbdcbbccdabbccabdbcaacabdcabba
+bbbaccabcbbabaddaabbdacdbbdbdddbcdbbbdbdbabbadabbdbbca
+ddadcdcbccabacbccddddcdddbcbbcdbdacacbabdbbccbccdcaccbcccccccddaddcbbcabbccdcbbaaddbaccdcdbcbadddbcddadaca
+acabcaadcdcacdddcbcddababb
+bbadaaddacdbadcdcaddbbcdaccbcdcdadadaccdadcaadbbbcbbcadbaaddcbcdacbccabddbbcbcaddaaccccbdc
+dcccabcdcdbcdbadbbdcbabdccdbdbdbdbacbcdcdabdaddbbdcdccbbdddaaddbbbcbcccacbbadbcddaddcaddaaadbccbaadb
+bacbcbbacdabbbdccaabdbcabbcacdacbdbcadcbdcbdbaaacdbacdcdabbdcacdaacd
+dcdddbadcbacbbbbadacacabcddcdcddaccbcadbaacdbccbcaabdbabccbcbccaabbbdbabbdaadabaadcdca
+cccadbbbddbddcaacabacdcadbaccdccabaabbdcabbacbadccaadacd
+dddbdadcbbacddcbabdcbddadacddccddbbbbbacbaddcdcbdaaabdabadcdbdccdbbccccadbbbadcbdcdddaccbbbdcbbacdabcadd
+ddbcaaccacbdcacbccaccdcbaadbbcadcdbcbaadccdabacbbaddaabb
+dabadcdbcbbdccbddbbddcdaadbaddcbdbabbaaccccdbaaaadabbcdacbddddacccbcbdcdacbbbdbaacbdcdcdcbdbddbcaaabbcaccd
+dbcadbabadbcdccddacbcbadbbaccabadacbbcaabdcd
+dcaabaddbbbddccaabcdcdcdbdbcadcabbadaacbbcabbaaddbbbbaccddbadcbddbbabdabbdcbdadcdccdaccbacbddccdad
+bdcdabdcacbabddacbbbdbddbbaadabacabdcbaaaaccdaddbbadcadccabb
+cbbcccaabdabadcac
+bbadabcdcaaadcdcdcdcdbbcadbaadbcdacacbdaddacccddd
+abbdccdbdbcddbdbcddddcccbdaddaddcbaabaadcdcabcdcadcdbccccadbbaadbbcdcbbcbccdbcdddb
+dbadacaccaacbbcddbdacaddcdddbdadabdcaddacaaccbdcdcdacdccbbccaacd
+addbddaaacacaadaddadccdcdbcccbcabbccadccdddccdabdadaadbdcbcaddcaacdacbadbbbbdbbbacabcdbbbdcbaaccbbdabcacabaa
+bbdaccccbdddcbdbdbadbabdda
+cdbcdaaadcdaaaaaabcdbacabcdcaadcbccaaaaababaccaccadadcbaddbabbdddaacccbdccadacdabbbaacababddcdddcdddbdadc
+cbdddddaaadbcbbbccadadbbdaadacaaacabccdccacacbabaddcaccaaabcdcccbbbddbabbbccbbbcccdccabadbdabbdba
+dbabcdcdadaabccdacabadbaacddcacaddcbbddabacbddabdddaddcbdc
+dcadadcbdaabbdaaddbcdbbcbbbbbdcbcddaadbacbbbacbdaaddbbbcbacbdbdabdbbdcbadacdbbdcaacbdaddbd
+abddaabadbdcdbdccdbaacacdcadadcbbbdbbcbcbabcadabdcccdcdcdcbcadabdadbbcbbbbabc
+bdaadbcbdbcbcadabbcbdddbabddcbdcbabbacccabcaacaccbaacdbdccccacccddddccccbabbcbccbddaabbddbcbcdbdccaccdac
+ccbdcbdacbadbdbbaacbdcacccbddaabbdabbadddaabcccdbccaacbdccbdbbbaabbbbbbcdbdcbdabd
+bbabbddadaaaccdcbabacaaccababacadabbabbcdcdcdaadbdcb
+bbdbdcdacdacccdddcdaa
+adbaabdaadbbcacabbbbcdacddccbbdadaaabcbccaaccaaaccddbacbccdbabcaccb
+dcabddabadcaaddaccdbaacabddbbdacbccbcbcccbdddbbbcadaaccccdbcadbac
+abcdbdddadcabadcbbbbbaabcabdcdadbccabbabaaaabcdccbccbbbbbb
+addbcdbddbdcbaaabacbabbbacdaddccbbabbdd
+bcdbbbddccddcbbbdcdcaacdbabbdd
+dddabadbabba
+cbddbacccbbcaabdd
+cdcbdbbacaadaddadbaddcdddadadadbbabdbccbacdbdbaacaaaadadcabadcdbbcacbacdab
+cddcaacccaabdadcacdbbbacbcabcccbcbbbadaaaccadccadbadbcddbccbcadbdddccdabdaaabbccadcdcaacabdddacabcaacaddab
+cababbabcbbccccbcdacccbccadbbbcacadddbccadddcbcacabdcadbbadbbbcbcc
+bbbabaddbcbacabcddbabcaccccccbdcddadabcbcbaabaadbcccdcadaadccdbdac
+ddcdbbbbbddddbccabdbcdaadbaacdacdcaadababbdbacaadaccaaaaadbcabccccddcbaadbab
+accbaccdacdcddadbbbabbbacaacccadbabddbadbabccababcaadadabdbaabbbddadcdcabdacadca
+aaccdbadbcaaccabdbbadbdadca
+ccccaccdbdbadbbadccacbbdbcdcaacababadacdcdabaabddbabcbadbbccaaacbdbcd
+acbcacadcabacabadacdbcdbbadcddcbcababbbdcacccdbcbaacacdaccaabcdccddaadcbbdcdcaadc
+ccbdaaacbddcabcadacaddadbddbdbcdaadddbcdcdadbdaddabdddaddacaaaccddcdddccbcadcdcacbcdddaaadccdcbcadbabccdbadb
+bddacccaabbacadddb
+bbbcdccccbbcaacbcbdcbbcdddbdbbcddddccbcadbdddaccbaab
+bccbbdaddbddaabdbbadbcabadbadbcbccbcddddbbdcddcbddacbcacadbdaadbbbcdacdccccdbcbcc
+adadbacbdcddcbacdbaaacbbadbddddbbddccbabdbb
+bbbacbbcdcacbbbcababababaadabdccacdddabbdbbcdbbcabacdadcabdaaabdbbcaddadcbcaaccbdddcaca
+aadcadcabcdcdbadabdcbcbbbcccaba
+bcbaccccccbdbdacabdabaccdabdcdaaadbdbcddbbcadaacbcbbbacdccbabdccbbacbcbdcadababcba
+dadcadcaacbbcdcbdccadddbbaaddcbabccddbdadcbddbcdabcdccddaacbbacddcdcbbbabbadbaacabbcabdabacbbbbacdadccdacb
+dbccabccdaabbadbcdaaccabaadadcdcdadddbcbacbbadbbaaaabdcadcabacdbbcacacabbcaaacbcbaabddddbacdabdbdcdacbccbcbaa
+cbdbdcbccbdadabccdcbdddacccbcadbacdadcabccbdcbcacbdbadbdcccddabacb
+abbabaacddaabbbbdaddbdddcbbacaabbcbacabdcacadbaddcdacadbddbbbddbcdbaccacaacbbbbdcbacac
+bcdcdabadcbabadcbbddcbcabcbabaadadddbccaccaccabcbcbaadabddabbabbbddb
+abdbcaddaddbabdadadacdddcacadacccddacdbbabccdb
+cddcbdadddcabddcbbdcbabbdbdbdadbaaaddcdaaddaabddacbcbbcccaabaabacaaacdcadadababddbaaddabdbabcadddbadaadccdd
+dabcbaaaccbdacaaccacaacdcbcdccdbabaabcacadcbddbcdcdbad
+ccbadbdbddca
+cdcadadcdcacbaababacbcddabbbbadccaccbccddbdcaacacdaaccddbc
+bcbdccccbccadddbcccccbdcdaaaabbdbcdbdbcccaccacdbcabadbdcadabcaabcabbcccbcdda
+dcbcabcdcdcbcabcdb
+bcdadacbbacbdcdbbbaabdacdddacbbcdcdaadbaddcbccdbcabaaddcdbabdaacbcbcbddcdadadbbccddbcdddbaabcddad
+dbaaaaabbbccddcabcaddaddcdacbdaccdddcdcdacbbdadbbabccbccacabddababbacbaa
+ddcbcbcabbbbcddaadddcabcadaacabcddddacbdacaabbccaccbadabdadbcbdbddddbad
+badddaddabbddbdacdbcaacdcacabacdaaadcdbdcacbcccbdccd
+badacabccaacababaddcccdddcbaacbdcbbbabddddaababbddbbaddbccabb
+cbaadcadaaccaacadcabddcbaabcddaadabdabbbcbbcadcaccaadacbbacaaadcdcbabddcbbdddbdcadbabcdbada
+acdbbdcdcabaacbcacdcbdcbbcbcaadcbadbdbdddabaaaabaddccdadccaadcababcbbad
+bdaacbbadbaaabaaacdcbaddabccddcabadaccadacddbaddcac
+ccccbbabcaaccaaabdcadabaadbbadbddaacbbaaddcbdadadbcddaacccdbdaacdddadddbabccbccac
+daaacbacdaccbccbdabacdadcdccdcaaccbcdddacbcaabdbdacdd
+bcabdacbdcabcccadbaacdbbbaacccdddccddccdcaacabaabcbcbdccabcbcacbabaddb
+ccbddbdaabbcbccacbbadaaacddadaabdacdcbcccacdbacbcdcdbaadbbcbaacccaddbaabdccdbbcdcbccdddbcabab
+ddaabaaacdaccdbadcbdbcadbadcddaacaadacaababadbcbdcdbadcccbccdbaccaadbadbbacbbbdbdaabbdabbd
+bcdadaabcacbcaddadca
+baacadccddabaaccaccccddbdbcbaaadbbbbbcbabcabacadaadcbcdacddccbdcdbcacabbcbcbadbbbadd
+dabbadcdabccaaaddabbacabccbbddccbcbaabdcbbbbcdcdabcbbcaddcbcaabbacbcacddaa
+dbdcdccbccdacbbbcadcdcdcdccdabdbccacacaabddcababcccbbbddcabacadccabccabdbbacdabbabbbccddadbabdcbcbcd
+bdbdcbacacdcacbbabdccddcbdbdbbccdd
+aabcaaaabbbbbcccbabcddcadbccbbdcdabdda
+bbaaaacbdcacbcdbbacccdacddbdbadbcadcaaabddaabac
+cdbcabdbadcdbaabadbbadccacabcccdadacddddcbbabbcacdddacbdbdabadbd
+bccddcbbaacbdbabbddcdbcaccbdabbabcababaccabddbbccabcbccbcccbaa
+daadbdbcbaaaddcbbdcabdbadaaadacdcdcddbddbcbdbdcabccdccaddcdcdaddcadaaadcbcbbdbdcacccbacabcdcccabbccccdc
+adadcdbdbadaabddadcaabcabbbddaabcccbadbcbaccbcabcbabbbdddacabbaaccac
+acccaacbcdbbbaa
+cdaccaaabbaaabbcdacdacbacbacdadbadaccddbbccd
+dbabdddddaccacdccadaddbdcacaaaccbcdadcbbcaadbddbadbaacadbbbdadddccdcbddaddaccabcaacbdcdabacddcadbbaddbcd
+adcccbdddccbbadbcbcbdccaabadadcddcbcaacacdaadbbacbdcbbbcaabbbdaacaacdbcbbdcdaaddacac
+bdabacacdcddcbabcaddacbaccbbcadbcc
+ddddcdaddbcacdccdbadbabddbdaaaaaacdbbcddcadababddacdcacaababaaddcdcabbcddabaddcdbdcccdadabcccabd
+adddabbcdaaaacdbcabdabbaaccdadb
+bbcacbdcaddadbccdabbaccacacbbadccccaccdbbdaabdabddaddbccbabbbcadabcdbaadbbddcaacacbbcabbaccbdcbddbacc
+abaaaaabbdcadcadaadacabcaadadcadddcabbbcabbaacdcdacbabcbcababbadbabaacdbdadbabaccaadabdddbaaad
+cdcaabcacadbabaabacbdadaddaabcbbdadcdccdbdcdccbadbcacabadaadabdcbcbcbcabaaaadacbdaacdbaaadcddabbadaacbb
+cdcaaccbddcdccacbaacacbcdbcadbcccbcdadccbaaccbbaabdbddcadddaaacabbbaccbabdcadaabdddbddbddbbaada
+bbcaacbdbbbbcadbaadbadadbdcccdadcaabdcbacadbbaabbcbbdcdcbdacbdddaadcdbdcbacccbbcdddcbdccbcbbbbcbd
+bbcdbadadbbbbbddaaccccadbcdadccbbcaaaddcbdcadccbbcbacdadbad
+baaccabcadccaabbddbaccbaabacdd
+aabcdccccbadc
+cbcbcbdadbccbaacdbbddcbdaaddaab
+ccabbabcdbadabbaccbdadbcdbbdbadbcabbdbabdbbbdabcbccddbdaabbaaa
+dadaccbbcdcbaccdbcabaababadbbdadaba
+babaccbaddbbcdcabdbdbc
+accbbaccbdadaddddaadaacacdcbadcabcbdcabaadadaccbacbaacadcbdcdabaddcdbbdacdabcdbbadadbddcddcbcabddadabbbbaaacb
+aabdabaadabbbddba
+abaddacabaabbcddaccadccbaaccddcdccbcbcbbbda
+abbddaccacdbccdb
+accddbcdccabcdabbdbabbdccccdacabbbbaacbcbabbdabcbccdcbc
+ccddabddabccbdddbbbbcabbdacdb
+acccacbaccdbcbcdbacabbdadcbabadcbdbddaa
+daacacbaadbcdccca
+caaaaacabdbaddbdccbbcdcabcaacddbdbccacaccacc
+ccbcaabdacad
+baaadbbdbacdbcabccabdbbdbdddaacccdcdcabdcacddaadacacdbabdcbbcacbadaddaccbcacabadbcddbcaabddb
+dcadbaddcddcbdaddbaaccdccbbbdbbcdbcbbbcdbbbbbadabcaacbdcdabcaccbd
+abcdbabbba
+abdbcbcadacccbccdcdddbbd
+bcddbddaaabbacdddacacbcabbbcdddcacabbddaddcccacbcbdaaabcabbbcbcdcddcbdd
+cccbcbbcdbcbddcacddcacbbadbacdcbcdaaacbacbabccddccdbbddaabbcadddcdbbba
+dbcdacacccacaadddcccbcdbddacbbabcdbcdbadbadddcaac
+bbcaabaccdadcad
+bbbdbbccabdacbcbaccadbcadbbbcccdaddddcabbdcccbcccbabbccbbdaddcaab
+cdddcdcbbaaccadabcacbddccbccbadabcddbdccdabbaabcccaacdccacaaabcdddacccacbaaacacaaccddbabdbccaaccbaccbbcdbabc
+cacbcbcbdbccacaaccdabdadcbdccdddaadbaddbabcababacccbadbbcbacdcacddaabcabdcdbddcaaaaaacadbddcdaabadcadc
+dbbbcddbdbcdcadbaadcbbadddabacabdaadbdcddbdcbbcccbdccdcabacaabadabbbcbdcbcbadcbaca
+aacddbdcbacacadacbddcd
+ccddbdaacdacdaabbbb
+dcbbcbdccacddabccbabcbda
+cbcccbddaddcbadbddadcbcacdcbaaaccccdd
+cccaabccdbcaacacdacbbbdcccadcbbbbabdcdaaacaaabddddadbdaddddbbd
+cacdcbdcbcdbddccdaaaaaaddbbddaaaaccabbdccdabadabcbbcdaccddaddabbbbcdadadcacbdbaadcdbcdaad
+cdcabacddbddaabcaacadcdbdddddbdbddbacbbaccaadabdaccabcaadcadbabbbacadcbcddadcaabdaacbccbddadcad
+cadbcbcdacdcbadaddacbcabcbabaaaddacddbcbadbddbcbbaaddddcdabacaacbbcdbaaccabcdbacccabcacdadcdddabcdcdcdd
+cadcaddadaaadddacbccdcadbbccddbbacbccddbccdcaab
+aadbaadcbbacdbcaababcdbdcaccccdadcadcaccccbcacaaacbadaabadaccbbbcbcbbdaacabbdbccdadac
+bcddcbdbdaabdddcacbdacccbcabacccadccdaadbdbdcacadcbcdabaddbcbdddbcccd
+ddbabbdabcacadaccacccccbabddbbcdaacaabcdbcdcdcbdddcbbbcdada
+abdcaacbdcbbcccbbaadcaaacaaabcb
+bcadcddabbbcabcacbbbd
+bcdddbccbabbaccdccdccdcdacadadacdcdcbdaaabbdbadbabacbdad
+abdbaddaadddccababcbdabdababdcabaaacbabdbacaaabbacaccaacadbacabdbabbababadcbd
+baadbdabbacbcc
+babdccaaabccaccabbdcbbdaadcab
+adabdadbdbcacbdacabacaccadadbacaaccaacddcbcbdadcdbacaaccd
+acabbcdbbbbcbbdcaddbddababdbacdcbcabdccaccaacdcdaacdddabbbaaadbbd
+bcdaccbdaccabbbaaccbaccbaaaadacddaccbdaacbbdccabccccbaadaaccaddaaacdbdbb
+babaaaddabacddcacabdcaaaabbbacdccaac
+acccadabccbabacdacdbdcaabbddbccdadcacbaddbbdddcadadcabacbddcab
+addbdbaacdbbacaccbaddaacccdddbdcdddcbccddaadaddcbc
+abdddbdadaaacbdcaabadabdabbddcabbdbbdbbcccdaababaddc
+aabbaacdbbadadbaabbccacdabcbbabcaddbcbbddcaddcbcaabbdddbabbbaabbadcddbbdaaadbabbbdcdccbbcaca
+acbdbbcaabacbadacdbcbacbcadcddccbabcabbddbb
+badadcbbabadbbadbadcdadcdbbcbccaddbacadbdc
+babbbcddbddcccadadcddbdcccdccbbbcacdcacdacbdccccbadbabadadaddcacddaadaacadcaaaaaccccdabbba
+abddacddadcbbacdadaaddbdadabbdaacbaaddbbcabbdcdcaabb
+dcbabaabdbddbadbabbcabdbcabcdabbdaaabbdcddbadaacbacdcbadacccdabdac
+bcdabddcdbcccbccdcddcbbdaccabaacbbdbaacbddddbcacaaacddcbbcdbaacccabbcbbbbcdacbdcb
+cdcdbbcdaddcabaaaccadacddbbcdccbabdacdcbcaabdddcdc
+bcbbdabbdbcbabaaabddaaccabdadbcadcbbbdb
+baababbdacbacadacabbcbacbcbdcdbbbddddb
+dcbdabdbdacdaccaaccbdcbddabadaccddcaabaddaccdbcbbbbcdddbbdaddacadaaaacdddabacaaaacabdcad
+bdcbcaabdccbdaaacdbacccdabbdcdddbdcdabdcadacbbaddcddbabdaabcdadcbcdaccbac
+aadadcbaaddbcaddccacadacabbdbdbdaccbc
+aacdbcbdbabbbdbbcddaccbddadcbbdbdbbccabacdbabbcaccbbcbdadbaccbcddddcaddcbddbbdbcbbbbabacaccdcdaaabccbbbabbcd
+acaabaacbddcadbaccadbcdd
+cddcdbcabbcadcaaacdacaddadbbacdbcdccadbabbdabddbdccbbcac
+adacaccabbadaa
+caaacbaabadabcaaadcabccbadadccdabaccbacbcdbcdc
+cdaccbccbddccabbbbdaddbccbdaba
+cbdccacadcacbabacdbcacaddddaacccbccdcddbbbcbbbabbccccdcdaabadccdcddccbaab
+adbabdbccdcdbddacbacdcbdbdbcbbcdcddadbdbbbdbadadaabadbddccbaabcdcdbddabb
+dcadbabbaacdbbacbcdbccdaddbbaacdcccaadacbdcbbabaacccccabdaddccabaaabbcccacbccbcbabcdcadcad
+ccccabdccdabbcccaaddcacdabbbacbaabacbcbcbddcadabadcbddbbcccada
+adcdaabadbdbaddadaabbcddaccdbaddabbabcdbacdacbbdcbcbbdcdbbabba
+cadbdddabbbdddcbaacdcbb
+cadbdcbbbbdadaddbbdccdacd
+ddbdbdaddccaacdaddcbcabcbcbaddbdbcabccabcbcddaabbcbcbabdabccdcacbdadbbdadabadbddaabbadcbcccaaaadbbbdabb
+bcacacbbdacaaabcbcacbdbbaacabcdbbcdababdbcacacddcaddcdcdca
+adbddcbddbcabadcadabdcbabddacccdaaabcdcbcaaaddccadbbaaaddbadcaadbcdaaaddcacabddacabccddddbddd
+aacaabbbcdcdabbadaabdcaaadcbbacadaccbabaacdcabadcabbbdcdaddacadddbaccabdbacabacc
+acadddabdddadcdcadadbacdcbccbdb
+addbcbabdaaddcabdaddcbdadbccdbccdabbdcbbdcdcabbdadda
+ccdaaacaadddbdcaddcabddbcbdadadbcababdbbbbdccbcbdbcacddaabddddc
+caaccbbcaacbdddddddbccbaaaadaddcdc
+dccbcccadaddcaacadcaaaacdbcccdbdbbcbaaacacbdbbacdaddaabbccacdddb
+aaacabdccdcbadaaddbbbbadcbbdabdcadddcdbccacacdababcdabdbaababdbbcaacccddccda
+dccdaaaddabacacabcdddcccaacbbbccbadbbddcdccababdbaccb
+ccdcacbcbadabbbccdbdcdabbaddbbaccacacaddcda
+acbbdcdcdacbbdbbaacabbbadbbaadcdaddadabacabdc
+dddcdcaabadbdbdcdabbcaacdcbaacadaadadccdcbccbadbbdbddaccdacbcd
+cdcaccdadbcabccdcccadaababdaaaaaaddbadbddabbdccddccababa
+baabadadcdacdbabcccaddbaad
+cbbddbdabdcadbcddbdabcabbbabcddbadddabacdbddddbccddaddadccbabbbdadccdacdacdaddaccbbddcadcaccbb
+bacdbbdbaaaaccbacaaaccdbcbbabcccbbcadcbbbcbdacbabbdbcdadcbabbcdddadabbbddcbbcddaaccdccbbddbabcbbda
+dbdbbddaaabdddacdcaccbbcdacbbabadcccbcbdaacbdcbbccdccdbbdacbdacdadabddbabdcbcdaaaddaccbaddcd
+dddabcbcbcbcbadabdcaacaaab
+dcbbcccaacdbccaacaadbdcccbcdaadabaadcbadddadadcaacadaababdabcacacabcaddbbabcb
+aaacdccabcbacdcaaabadadbacabaddaadbabaddcaaabbcaacddabcadcacbbbbadbaccd
+ccbdbbcbadddbbabbabbbacbbdbcddccdbccbddacddadccccbccdad
+cbacbcacdbcbcababadbcadcbacc
+ccbbdcccdcaaabcbbbdabadbbdbabdbbdc
+bcacaccbbdcbdaddabdbadcddaaacccdddcddaabddcacdbcddccabdabbdbbaaddccadbabadabcacc
+acaccabdbccddbbbddbaaabbcbbdabddcabcdcbdcdbcaacbabadbdddbcddbcabcbbcadaadbccddaacacadbc
+bccccdaaabaaaacbbbbaaccbdcdac
+ccdaacaccacdcddbbcbacbbcaccdcbdbacbadadcac
+ddbddccabbddabdbadccbbaabadadcbbbacacddadaabbcdbaacdcdbcbcbbcddaadcbacdbcdacbc
+cabdcddbaaddacdcbbdabdbcdddcbcadddcabcadcdbabdcddbdddbdcaccaabadacabbbacadddacdbcacadbbb
+abcaabadcabaaccdaaadccacaa
+babcdbcccaaacbacccbbcaadcbbdcdadccdd
+cddaaabbdaacacbcbcbbcccbacbddcba
+bbbbcaabdbabbadbbcddadcabbdcdad
+accaccccddddbdcbaabccdaccdadacdbabcabdabcccdbbdccacbbcbcdacdbdbaccddbadcaaaaddbcbcccbbacbdccdcddcaddccab
+bcdbcaadcbdbabddcbdcbcbaababddcbcbaaccaadadcdcbdcbcabcdadaada
+bbdbccccdbddcbdcaddcbcabdbcaaacca
+bbaccbaaaaacdbbcaabbbbbdbcddbaabacdcaabbbdcbbcadccaaacadccdbbcbbcd
+baabdbdbacccacdbabcacddccddbdcbddacacadccacdabcbcd
+badbccadcbdbbbccdcdcadcccccddccabdaadabddaaabacbcccdddbddabbcb
+cbdcaacbcdbcddcbbcdccdcbadbbdaddbbabdbaabbababcaaabbdbbcbccbdabcccbbcaabbbbcba
+dabbcdbccdccdacadbdadabaabbcabbbccbdaadbbbcdaadcdbcabbccddbbccadcaa
+cbcaddcccdcbbcbcaaacbbbdbadbbcbbcbbacaccbccbbbcbbbdcadcdabccbbcdca
+aaacacabbdadbbbbcaaadacabaddbaaaaddabcbbbbdbbbdcabcaccdadaacdaacdcacacbaaabcddbdcbcbadbbaaaaacaccddbcddbaadc
+abcbbabcdbdaaddcaabacdadacddbabadabcacbaccbbdbbccbccccbbddbaccbbbddaaabcacacbbcbdcbbcdaacbaccb
+dbdcbddaabcabbccadddbacabdcacdbdaabbbbacccdabadadddadcabbbbbcddbddabcbbbdadbcbadabcd
+adddcbddadcbddbbccbbaabaaaac
+cdcdbbcdcdbcbcbcdcbcdbcdaacbacacbadcdccdbcdacbcbcddabbdbabdacddadbbc
+bcbcaccbddcaaaadcbdaddcacbcdacaddbccddcbdbbbccc
+dabddbacadccabaaabdadacbccbdcbddacdcdbcdacddcbdbaacdcacadcdddcaaccc
+dcaddaabdccbcddccacacdccbaabaadbacbaccab
+cdacddcdcccdcbbaacaaadcbdcdbbccbadabcbddbaccbaccbdabdcbabadcdbcccb
+dbddbdddaabbdcdcddbda
+baababaaabdccbbbacadddcdddaabdaacdbbdabdadbdbccbabcacabaddaacdabbbbddccaadbdadbadcbbbcbbaaaaabcbabcdddaddda
+ccacdadbacddaddcbddababbddbbbbbdbaabbdaddaddabaabbdccbaadacacabbdbaddddacbccbbabdbcccc
+bcbdcacccbaddbdaab
+bdbacdbbccbdbcbbbddbdacbd
+cdadbbbdadaabcadcdcbcbcaaabbbbddcbbadacc
+aabacdbbccdddcbccaddcbcaabaadccdaddbccdccdbbbdadddbddcdabaaddddacaaacacacbbacbadd
+300 216
+bcbaccaddaccaaaabaddc
+dcaacaadadbaaabcdcbbdbdddacabdbbabdcdbdccccdacdadabdacccbbcacbaab
+cbddacbdbaaddcadddbdbbcdbdadaaccababcaaacdcccbdcbcaddaabbbddddbabdbadaccbacaabbbccbcdbbbdcdccbdbcddbcbda
+cdbbcabcccaccaaddcaddbccaacbcdadbbcaabbddcbdaacaddddbccaddbabbcabaacbcadcaaccdaccbccbcddcbdaabcbd
+daaacbbbbaabdbbbbabddbcacddcabcabbadcddcdcbabadddbcaabdbcbdbddcdc
+bccacdaddaadbadccddcbdaacabcbdcdacbcacdaaaccddababacbdaaca
+bdccbbacadbdcbbaaddddacdbc
+adcaabbdccdbdadcbcdccaabbababaadbcddbcbbbadbbcbccbcccadcadbcbddaddddbacbdcbdcabaacabcbcaaba
+dabcdcbabddabadddababbabbcacd
+dabdcdadabbcdcddbdccbaaadcdbaadbcdcbdabdcadccbcbdcaacbcccacddbddbccbaaddabbddbcadbbabadaddcdccbbcdb
+ddddddcdbddcbdbccdcadbddbabbdcccadcbbabaa
+bcbcbaabbaaccbbcbadbdbcbaadddddcbdcddbadadadaadddbbddbacaabbbaabbbacdaddbabbacbbbcadabadbcabcbcbdcacaabda
+bbdcbabbdbabbcdddccbbdcabddadddabadcbbdabbccadbddadcdbddaadb
+cddaabbbcadbcdddaccaadabbccbabadccdacbdabacacadbdab
+ccaaabacabbbcbbdbcdadcbbcabcddcacbddcacddbdbcdccabbcdccacabcacdbcbbacabbdaabbdababbdbdccdadabbbccaadab
+bcdadbcbbaaaaadcababdbdbadbcccbcdabcbbdccabcbaccdcddbdaddbcaacbdbcdbbcdbdadaabbababbb
+aabdddaaadbacdbdacadddbaccdd
+dccacdbcaadbadccdad
+babcaaababacbddbacdbcdcdcdadccdcdacdaaabadacdaaaababbabaccbcbcbcabbdbcbdabcc
+acdacbaacbdbbbacdbad
+bbbddbdbddccdadccdabdcddaabaddabccddddbcacbcacccbaacdaadcbdcaabccdc
+cdaaccdbcbccbbbdbbcbd
+ccbdcbadadcbdcbdcacabbacdddd
+bbbdddcdbbbbcbbcdbcbdcacbdbddcbbadcbadddddaaabadba
+babbbacadbbdbacbddbddaacdccccaabaddacaaaadbdbaacdbbdadbccdaacdcdbabaddad
+dabdbdaacbdcccbacbbdaddcbdddbbcbccdadccdcaddccacabacdacaad
+bcabcbcbcdbbdadbdaccaaacdbcabdbacadabacda
+caadcbaaaaacdbdcb
+accadadadcdcdcaddadbccaaabbacb
+abacbcbddbcbdcdbbdcaabcbcbdbadca
+dbcadddcbcaddddabbdbdcabbbcdabbdcbddbbbc
+ddbcadddaddacddaabacaadadabadbbddac
+ddadaaacdcbaaddbddbddadbdcaabbdbadcabcdbcbddbdddbcacabcdacdccacaddbcdbb
+aadabbacddbcdcadabbdcabbcdacdabacadcadbddaacaadaddccddabadcdc
+adbbdabcbabacbacaabcddbbbddccbcbcccbbbdcabaabbddabbadcbcbbacbdadbdbdbcccdadbddcdbcddbcbad
+adbcddbadaccbcacbdccdccaddadcacaccadbcbccabdadbdcbbddcabbcabcdccdbababdaaccabacadcdaadbdc
+bcccbbbcaadddadddbdbabdaadaaabaddbdcbacdcacaccbdbaadacdacacdbaadddbbaaadaaacaadbcddaadccddacbcbddb
+bddabdbccddaaacbdcbcabcacbaccadbbacbbcdcdccccdcdaadd
+caabcbccbcdbbbdabddaababbdccbaadaabdacacacdccadabdcaabcacbcacabddd
+addabacbbcbdbdddbbddcbdaddadcdadbcdabdbcddabbdbbadcbcbacdcbddaabccaaadddccbaadcacbdbdcbddbadddacacacabaabaaba
+dabdbbcdcbbdccccbdbabdbddccabaddcacdcbadadcabbaaaadddcccacbbdba
+dcbbadbbbdadbacaaadbcdbdaddb
+dcaccdabbcaddccbbdbccbdbaccddbccbc
+dbacbbadbdddbdbbbcccbbabdabaadccddaacacbcaacbdcaccbadccccbbcbdaadddbcbcbaacaaddadbac
+cabaaacbdcdcadcdbacdddcbdbdccabbadabcdbdcacbccacabdbcbcaacccbcdabdbbbccdabbbdababdbcaddcbabcdaccdacbccccacb
+cabbacddbdcaacbcaadcbddaabbcbbdbbaac
+dddccddcddbabbdacaabcaaacdcddbcaababbddccccdddddcbdbcdcaacccdc
+ccccadbadccccbdbdcbcccdcbdbdbcbcdacbbabdabddd
+bccddadbaddaacacbdbadcbabbcadbdabbbabbcabcadcddaddaaddbcbaabadaabdcdcbcbadcdcbcddbaababadacbcbcdacbaaba
+aaadbacabb
+bbdababbbbcbbbadbbdbacacdaadbcbaaadbaabcccddbccbbaabaaadcbabdabcddbdbddccbbcadbd
+ddbbcaabdababccbbbcdabacadbdabaaddcbdabbdaacddbabcaaccccabbdbbccbccdcdccadacacdabadccccbacbaadbbbdcb
+bcabcbbbbdacbbdaddccbb
+bccccabbabbaacbaabadbaaadcbbdbbacccbbcdadbdcaddcadccabdcda
+cbcdbbaddabcbcbdddacdaaabacbcaaccbccdcbabc
+bcadcaacdddcbccaadbcaccacbcdabdbaaccbbcaabd
+ccacdcaaddcdcacbbbdcdcdbabcdddbdaccbbcbacdcaaccacbdaaadddbbbaddaaadcdaddaaabbbbdc
+bdcbbdaadccabbbadabbdbccabccbbcdddbababbcbbbcdcdcbdaabcbbdccababcabdcbbaaddccbbcb
+dcaccddbbadddcdaadcaccdacabaadbdaddbbbbdabaaabbddbdcbccc
+bcacabbcadccdacadcab
+bcbabbadbccdcacadabbcbccbadaadcaacdacbdddcacdabcdccabaaadabccdbc
+dbacbcbabbaabadddababbbacacbcaaac
+cbccbdcbadaddbbdbabada
+cadbbacdbabadbbbd
+ddddcabddbbdabbacbbcbbdaaccadcbbdacddbbadaccbadcaddacbbaadddbaabacaacddcbbaccdadcaabadabbcdcadcaba
+dccddacccddbbbdccbabcbdcbddacdccabddbbbccbaabbdaddbdddadacbaabcdcaaadbdbbddcdccbddcccdaabbccdaaaaaddaaddadb
+cdabbcbadbabcbaabbddacadcabadbddadcbddbcaacbccadbdcabdcccaddcdaacbbbababadcdabdddaabbdbaadca
+ccabbabacbdcd
+dacadaddabdcbbbcbdcccdaaab
+cbcbaabadbdacbcabbdacdaacabacb
+babdadcbdddbbaadddadcacbbddbdcbabcbd
+aaadaababbacdacbdbcddabcaabdbbdcabbcaddddbaaadbdddcdbbdbbcdcdccdacacacba
+daabdcdbdaaabcdcbabcbadbdbabcaccdcaaabdacacaaaacbdaccbaddbbccbcc
+bacbdbbddaabbddacdba
+cbbaccbcdcbacacdaabcbaac
+dabdbddbddccabbdbdaaaacdccaddaacdddabbaadddaacbbbadbddddcbcdbadcdbbcbb
+dacdbabbcdabcaaaadacbcbdaacdbcbbddadbdddbadabcbdcbabdbdadbbccadbdccabcaddcdbcdadbc
+cdbdbaaaadadcadcbbdbcdaaccddadcbabacdbaaabdaaccccbcbcbbcabacadc
+dbaadcbdabbddcabacaddababbbdaddbbbaccababcdcdbaabbc
+cddcabccabbdacbdacabdbddbccccaccdbdbdacadbbb
+bbdddbbdcbaabcccdabddadbcdbdcbccbdcbcbbaabddadbaabbbacbabadbdcddaadccccad
+ccaacdbccbcccacaadcccbbacabbbdaacbcaacbdadbcacbccdaaadddbbacabdacdcddababbabbdaacdddadddccbbaadbcaccacabdaca
+bcdbbbbadaccbbabdcbcdacd
+dddcabcbabaadbccdcbdbbccdaddcdbccadbbdcbdbccbccacdabaadbcdcdacbaabdbcbadbcaddaabaccdbdcbadacbabcbdacbcaccd
+dcbbaddddbbdcbccaccadcbbabdccacdadcabcbddcdaaaccddadbddbcdcddacbddcddbdcacccacaccdcab
+cdcabcbccbadabaabaabcddcbbaacbbadabcccbddbcdcbccadcbbadcaccaadabcabadabdcbddcaacaaddcbddadcdcdadbac
+ccccbadaddcbcdbcbccbcadcbaaccbdcadd
+daaacaaaadccdcbdcaccdbcddbaccbaccbdcdaadadaaddccddcbcbabddadbdaddbcbaddccdddbbdbbadbbaa
+ababbbbcdbcbabbcbabdabdcdbdccacbaccaabaadbbbdbbcac
+bdbadabdabccddcbadabdddcccdbaabdbcbdcbbbbbacddaccbcacbdcc
+dddcdcbbddbcacaabadcacadaadddccaddcabdcabddabbddbcaaadadccddbbccdadacdabacdcdadcddbd
+baaacdcaccbadaadddbaccabbadaadcaaacbabcadccbadbdcdcbcdbcdabaaacdaacdbabbaccccdbbbbaadaccdbd
+baadbcccbdcddacaacaddcddcdcbabcdbaadcbdcacbbaccbddadbaccbca
+addbbbababdbbdabbddcaddcabacdabbcdddbbadbacddccddaabadcaaddbbdbbbddddbadbaacbddabbbbdabdccadddcbadabcd
+bbdbccdbdabdcdbdaddddaccdaabadcbcdbdbaacadadccacdbacabbaaaddbdbacbbcaabaababcdcdcdbcbabdcbbcacadabddcd
+dbcdcbadabcdddccaccdccdcaacdcbdaccdccaacbccddbdaacdccbaccbdbdbbbdadcaadaadddddccadabcaabbddcdbcbdcad
+caabaccddacaaddddcaddddbbcbdabadbadbadabdaadbaddccddccbadbaccadacbcddcb
+caccbacacdbdaaac
+adbaacbbadcabbbabadcbcdaaabdcabbdaabadaaadaddbadbbcdcabddbdacaccdcddca
+dcbbbbbadcadaadccabaacabbadaccbbdcbbddcdddbcdacbcccaaaabbddacdbbadcadba
+daccbaacadaaaabaabbbabbbddacdcaaacbbbcdbdbddbbcabacbbbdbdcdcdccddbdbadaccbcbcadcbddadadbbbaddcdbdbcdcbdddadac
+babcdccacddbcacbaddaabccdcbdddbdbac
+abadbcbbcbddbbbcdddcdcdddaddcbbbdddabcbddcdacbabbd
+dcbdcddaccbdddabbbcdcadaaddabacaaabbcaccacddadacdbcaddcdab
+bcadaaaabbbdbbbddcbadddbabddabaadccbdcdcbaadddcdcaabbcbbcbccacccdddbdbdcacaddabacdcabaabbcabcbaaccccddaadaad
+acdccbdddbbaaabdddacddbbbabcbadadcdcabcbdaaacdbbbaddabaddaaadaaa
+ccdbddccaacacdbaababbcbbaaabbbcacaaacdaddccbcdacccbddbabaacbaaacbacdcaadbbcbcbcabcb
+abccbbdcadddbccdbdaaaadba
+acbbddcdbbbdbbbcdcdcbdbbcbbbbaddbaacddcacbbcbbab
+daacdddbaaddadbbbacccabdccdadadacbbcdbbdaaabbbccacaaadbbaccdabcacdabbcbbbc
+ccdcdcdcacbadbacdcbdabadaddcccdaadcddbbbcdcaddacacbddbcbbdbbbabcbacbbbcaabbdddaacbacddcaddaadbaccadcd
+acacacaacadbaacbdbbcbdbdcdababcbdcadbcbacdabdababddbdbbbbaabccac
+bbddacccbaacdbdddacdccbbcdbddbcaaadcadddbccbadadbcbbcbccdbcaabbcabaaaccdcdacac
+caacdddabadcbbbaadaddddcbcabdcacbcdabdddaadcbdcacdbcdadaacacccaa
+baabbbccbccdbaaccbddddabddcbabcbccdaccdcdadcdccbddcc
+bccbacdabadabddbdcbbbaabcdccdabbbcabddcdadbdadabdbdcccabdbcdcbb
+ddcccdacbcbaccabcadbbbcdcbbdabdadbababccddaaadabbdbaccdddcbcbdccbbca
+cbaacbbcbbabbcaacabcbaccbadbabccdabccdbdbbdaabababacb
+dbaadaccacbccaddaacdacbbcaadbbaababcdccbdb
+cddbcdcbbdbd
+bcdaabdcbcddccdcdadacccdbbccacabbcbbdbdacbacbaadbadacddacbcbccaaccaadaaaabd
+dcbbaddabccacdbdddaacddcaadaddaaddbbacdccadbabddcbdcccaacadcb
+aabacaaaddbaaacccadadaadddbdcdbbcbdcbcd
+dbccbdbabccbaadadbccdbbbaccbabbaa
+cbaccabbabbcdbcadadaba
+cdcbababcaddadaaaac
+bdacbbcbaacaacadccddabdcccbabbbacabbaaacadabadaabccccadacccabdadbbdaadbbbbdcadbaabbbbdbdadcdba
+bcdccdcaadcdbbddcaddba
+ddacdaaaddbbadbbddadddda
+bdcabdbbdadcb
+aacdddcdacbcabcdcdbabaadbbdabadcbacccacdbadbddbddacbcbddbcbcddabdacbcbabcaaccaabaadcccdacddbcaac
+caababcbbccaaabbbcbbdbdaddabcabaadaadcdbdaacdcddbdaabcaddbabbdaabaccbddaadadcabcadbbdcbbddccbbbdbaadacadacd
+dddbbbcadacaaddbaacddaacaadbbbaddddcabbdbcabdabdacbcdaadcddbcddbc
+bbaadacbdccbddbabccbabbb
+caaababbdcbaccabaddccdadcbcccdcabdcbbacbdabbcacadababaccabcb
+acbadbdacdbbdcdbccbaabbdcc
+adacdccccbcbccdcdcddcbbdbcbbcacbbbaaaabddacdddcaddcdbdddaddcaaadcbbcaadd
+daadacaddbaccadacdcdcdaccdbbaaaaaaabbcacaabdacbbddaacdcbdcbadbdccdbadbbddddcddbd
+cadbcddccaaabacccabcdbbcdcccbcadddddccababbdaaaacddaadccdcabbbbcaacbac
+dbcacbdabcbdbadaaabbcccccaddbccacadacbacadddbdcddbaabdcadccdccdbaaaacbccaaccbabccccabccdaadcddaaaad
+dcccccdddcdbbaadacadaabacdbcadcaaddbdbdcbcaccabcacdccddbabaadd
+bbdbbacdccdccccbdaadccddbabaacbadbaadabbcbbadddacbbbacdbbadcabaadcdbd
+ccbdaabcacdcacbcadcabcbbdbbcdbbdaacbcbdbbcbccbdadacbcabadbacabddaaaccaaccabaabacbbbabdcdbdddccdb
+aaaacaaaaabacadbbacdcdbcbddccdbadadadcbdbcdcacabccadbcabbaaddbccddddadabdcdaadcdadbaddbbcccbabbcdadbb
+ccdaaccabddbdcacabccdbbbcccdaaaddaabadbccddcdacddabbadcdccccbacabadddadcbbbdbcccacbdb
+dbccaaddadcaacddcaadbadbdbdbcbdaccaabaadabdbdbddcdbccaccabcabcddbddcdbbcbaaddcaccadacbbacadccd
+abcacbcbdbacbadabbbcbcbcbbddbbaddccc
+bbddcccadabccccdbbddbadb
+bacddcbbbbbbcdcdbcbbcccabdcbabdbaadbbbdadccdbcabddacacadccbabdbccdcdabacdacbdcbabcccaaabdcabdc
+cbacacccdcdbcadacbcaababdcadccdbaccccbabdaabcbdbdddcbcbcdbbbbdaadaab
+dbacdcddabbdbaaabcaaaabaacbccbaabcadccddbdaaadadbcdabbacaadcadbcadcbccdddbcbadcdbcadabccacabaaa
+bcadadacdbbadccccdacacabbbabbbccaabddaccbaadbacac
+ccdacdacaaaabdddcbaacbaddbbcabaabaaabacccdbddabccdbabbabdbddbbaacabdcbbccdccaccbdbd
+aabadadcddbccccaadcdcdbbacbdbcabdabaddddccbdbaabdcadcdbbdddcbbbdacdcadc
+bdbcbbcbdabbdbbdbbadbbcbbcdadcbcadcaabdccdbcaaaacbbdbadbcdaaabdbbaddbdc
+cccbadcbbbccdcdaaccadaaacbddcdadabccdcacaadbcbcacccaabcdcdaccaccbadad
+aadcddcbbcdddddbdbacdccdaabcabdbbadcdbcdbacdabdbabbdaabddddcccaacdaaacac
+adcaabaadcadbbcdbbaabcccbadbaddbddccabcddddbcbb
+aacbbbcbddcadcbdbbaccdacbdcaacdbbd
+caddbcbdabcadbcccbddcdbbcaadabdaddbbacaacbadbcbbbaacaccdcdcbbcbaacdadabdddddadbcacaccdadcbdcdaadd
+cdddbadabdbbdbdadaacbabdbacbcbccddbcbd
+bbacabbdabbdaddccbdabdcdcbbdbbabddaaacaabbcbc
+ddccacadadcdbbcbabdcdbdddcaacbaaccabcabdbcd
+dacdcdcbdbaccacdbacdcaaaacdbbaaddbddbadcbcaadcacaa
+ccbdbaddadadbbbbdabadabcadcbdbcbbcadadadbabcccadcdccadbcbadbadadacacdddcccd
+bbbdcbbdbbdbacbbdbddcccdbbdacabdaacddaacdabcbcdbcdbbbdddccacbdabdddbbcdcdcbcabdbacbbcdd
+aaabdccbcacca
+dbbbcddbaacacddbdbcbddbbbabacbcdbcaddbddcdbccaacbdbddbaaadbbcbddabbbbaacdadccbb
+dadbbdcbbadccddccdccdcadcdaccbabbcbccdabdbbdbddcccda
+cadaacbaacaddddbcbdbbaadaccabddaaadbaccbbbbddabd
+baddddbccadbcadcaaddbdabcaddaaabbccacdcccbd
+bcdbccdadaaacbbbbbdccaadabdcadbadccdbddbcaadbbcdaacbadddda
+dcbcdccbcddcdcbaddccacdcaabbdcbaddaddcbcbdaacdbbdbcdddcadadbddcbcadac
+abaccabaabdccaaddba
+dbababbcbadcabaadbbdacbddaabbbbccccbaddbacacbadccadbaadbbababcaaadcacdbc
+dbabdcbdabbcdccbdcdbadacdbadbabbacbdbbbddcbdcbddaabdbbdaddbbcdabdc
+aacbccccbacbdaaaadcbbbabdcbbcdacdccdbcccddcccdbaabcdccaacabdaddccbbcccbcdbbcdabcbabbbabcbcacbbbaddcaa
+abbabbbbacacdadcdcaadbdacabccacbadcbdabacdbaccbccadbdcaacbaaccbcbbdcabacbacdaad
+babaadabdbacccadbcaacccacaadadbbbaddcadcdaabcddaaccccbabdaacabccbdcabbcdacaccbddbdaddacaddddcbabac
+bdbbccbbdabdaccdcdcddccdacbbaacdccbccdaacdbcddacddddcdccdddabadaabddaacaadbcabbadcdbdcdddadacbacbadaa
+bcbcdcaadbccaccbabcaabbcccdccbaac
+dbcdaddbadacbdcabccdccccbbbadcbbaacabdbababdbbdacdbacaccdccbdadcacbbadbccddaadcaadcacacbbbdbbaac
+dcbcbcadccbbccacaddcacaaccbbaacbabdbbdcacbbbadacdcadca
+bbccaccdacabdad
+ccadcddcbdbddcadddddbabdcbbcdbaabaabacdbaabddcbaadbacaccdacacabbcbbcccdddadaddbdddacbcdcbccaccaabacbdadc
+babcdcabbadcbbdabacabbdadbccadbbbacccdbabadcabcadacbdacddccadaadabdcaddcbbbbbacba
+cbadbdadddddbbdabccaadddc
+bbacccabdaddbcddba
+ccdbaabadacddcbdccbbbddccbcbbadaccdcaaabddacaacbbccbaddbbac
+bbcaccbacddddcb
+bcbaadcdbaaabbdbbddccaaaccdbbaddbdccadcaa
+acddaddaddcadaaddadddcadbddcddaaabbbacaccbcadbaaabaabcbbcbbcbcbcbddaacbcbcadbacdbbbdacadccddddccba
+cdadcaddddaddddbaaddbdbdcaabdcdccbdbbacaabdbaadadcbadaaccdcabcabbdbacbcabdccacddcaaddbcddc
+cabdbbdadcaccbdcdaaccddaaabbbdcbddccbcababdcdabcadcdcdabbbdbdadaabdac
+cbdbbddcadadbacdbccbcbccaabddbdaabbacbabcdacabcccdddaccadcdac
+accacdadcddadddbddacbb
+ddcadbcacdccddbbddbbccbbcaddccacdbbcdcaabadacabbdddcddcbaaadadbadbcdbcccdaccdcbcdacacbaabdbdbbcbbcdbb
+dcdabdbbaadabbcdcccaadcbbcaabadabbdbdbbccaaadadcc
+bdaacbcdadacccbdccccacbcbccbdbbbcdaaccaadddadbdaaabdabbdadabdbadcdcddbbdddbcbaacdbbdca
+badccccdbacbadbbcbccbdbdbdacdc
+bdbbcbaadcbddbbdbadcbbcbacabdacadca
+abddbbbadcabadabcccacbacdaabcdbdcbdcadddabdc
+dabcbcadabadbdbbdaaabdbcaabaacabccabdcdbdabcc
+cabbabdbaabcdbdbccccdbdacadaabcbccdddadbcadadaacbdabbcabbbcaabadaacbcdbacabadbabcccdaaddabdabadccbcbcbcddbb
+cdbabacdcbccbdabdcddadda
+abbddaadbdabddabdaababbbdcdadcccbabdddabdaadabaabadbbbdcdbcdbcddabcddccbbcdadcdc
+cbaccdddacacdacababddaabcaabddbccdcadbacbbabcbadacdddd
+bbdcacccdd
+cbdcdadaddbbabadcbcadccbcacddcacddabcccaaadcdcbcbbcbdbbccdaadaaaddbdbcdadccccabdbbdabcddcdddcaccbdbcdbbc
+baacadbbbdabdacacbbdabdbcbdbccdcadadaaaadbacdcbbacaacbaccbadddaacccadddbdadbadbcbc
+daaabdbdadabcdbadabdbcacadadabdaacacdbcacddbaaacdaabbdbcaddbccbbdaadbadcbcbccadcbcbbbdcbdbaacbddb
+abbcdaadabdcdacdbddaccbabadddaaaddbdbabcddacbdabacaaaddbbbbaabbcccbd
+daacdcdcbaaacaadacbcddbaabdbabadbadbaddbdaccbcaadacdcaaabcddacbac
+cbcbbcdbbdcdaddacdadbcacababacddbadaacabbbbacaabcdccbaadacbaaddcb
+ccddbbadacccdadbdccdaabcdbbbccd
+dcccdaaaaadcbdaddcaaaacdbcbbdbcbdddbbcbbcacdaaddacaccdadcdbaababbacdbddaaccadadcadcacdbcadbdcdbddcddd
+bdbbaacabdcbbdbcdadcbdaabcacdbbccbaabcadbdaabddccbcabcddaddbdbabda
+dcbbcdacbcccccdaabdbdcddbcbdadcabdabbdbddbcdbcabbbdbbbbdbbbcaabacadcabcacddddddbdccabacdbbabd
+addcaabbcababdbddcd
+bbdaddcadcbddcadacbadbdccdbbbbaaaddacddadbacadcdbbabaadbdbdcdacadbbaaddaabbbbbdadbabaaacbaac
+abccccbdbbabacbabcbabaccdcbddaaadadbbadbccbcdcaadcaacdddbbaaaddbccddccaccbdbccbdcbbcbcbaccaaacbbacaadcabbaad
+aaabcadacbdbacbabccbcdabdaccdadadcbcbcdcaadbaadaabcccbbdaadcccabdcbdacacdcacccaddadababd
+bdadadcbcdddaabaaadcdccdccabbaabbaddbba
+dbaadbdbdddadcdbaccdccdcaddcdcbcccbaddbcbadaaabaccdbadaaacaacbccbadbcbabdbaddd
+bdaccbbdacdbcdacbbdcbdcddccadabaabddadbcdcbbbcccbdbdadabdadadbbbcbddaddbadbabdbd
+dddabcdbacccdcbcabbbbadddabacbaccbccddcddbcabaddcbdabcccddcbdbadccaadacbacbccbcabbbabdaadccabaaaabcd
+acadcacababbddacdcbbbddbabbddbaaabacdabbddcbbbcbdabaabdbbcbaccdbdcdadccdacaddababbcbadbbadadabc
+acbdadcaadbddbcabacbbbcabdcaadccbaddadbdbbdbbbdaaadbbadbabaadc
+bcbcdabadaadcaccdbdbabdcaddcccacbbccddcabacdcbdbcccbdbcbbbaacddcbbabaadddbadcaabccbcbddbcadcccdbdcbbd
+dabcccadcdadad
+aacacddadcaddbbacddddbcdcbcacbdcdcddaaabdaddcdc
+cabcdabbcabcbbdaaccacdbbcbcaabcdbcabbaa
+cadbcdcabbadaccadcabccbcbadddcaacabdaaabaccdaabadbdbbaddacdcaabbacbcbadbadacddbcbabdacdabbdacbcbabdb
+dadaccdcbdaacdbbccaaacadbacaabaacabcbdabbcdaccabccdddcdcdccacdbcdbdbcabacbacccddabc
+abcbacdddadabcdddbbdbacbdcacdbbbbadadcddcbbadcbadabbddacdabbaadcbdbacccc
+cdcacbacccaadacdccbccaddddadadaabbddbbc
+bdadddcbdabdab
+cdaabadcbbacabcbcddabcbabbabcaacddabddbcbabccadcbdadaddcdbdddbdabcbbbdabccacdddcacda
+bacddbcdbddccdaaab
+bcbabadaaadcbabdabcccaabacdacddaadbabaacccab
+ddaacbabbbcaabbcbaaaabddbddccbbd
+ddabdcabdbbbbccabcabbcacddbcccdabadbbdadcaaabcbcabdabbdccdccdcbacbadcbabbacadababcbacbcccaacdbb
+cbbddcabcdddddaacbbbabdbbaababbadcddcacacaaab
+caadacdddbacbacbbadbbacbcacaabdbbabbacdbdcadcdcddbacabdc
+abbddadabda
+abbdcadcbddbabdbbaddbccabdaab
+adaabcdbaaddddccbadddddabbdbcabcdabbcaccbcadc
+bdabbcbcadccaacccaccdccadcbdacdabdbacbadaddadccddbaadbdbbbdacbbbababcbadab
+bcbbbdbbbadadbbbccccdccaacbcaacbb
+bdaccabaaacdbdaddacbddaaadbaaacaacacdcaccdaadddaccdb
+dbccccddbcbddbbacddcbdabacdbcacbcdacbaccbbaaaccddbcaccdbaacdbdcbddcbddbaadcbcbdb
+cadbdccaabccabcdadcabdccbacdaaddabacd
+adababbdcbabddbacaaabbbdccbdaadbdaccdaadacbaacddbadacddcccbdddcaddc
+baaaacdbcadbbdadcddbabdccbbdddbddbadbbdbddbcddbaddabdbdbddddacdbccdcdddccb
+dadcddcddabacabaacdddadcabccdddcacabaacddbcdcddabacbdaccadbdadbbdbcadbaa
+dcdcbcbcdbbbdccbacababccbdbcdcbcbabbdacacbcabaaabddadabdbcdabdbcbbaadbdcbaccaaccbcdbcbcdcccbbcddd
+adccabdacdbbbbbddabcdacacdcbbacbbcbbbbdccabcaccaddcbbbadaabbcdbccaaddbaccddabbc
+dbcacabccabab
+abccadcdcbccbccddbadcbbcadabdadadcbccbdcaddcbaccacdbccbc
+bbcabbdaccdabcaccdcbcdaddaccabbbbdcccddcbcaaadccabdcabbbacbacbacdaabaaaaabacbaadbdbdddcdccaccdbabbadb
+bdacacdacdbdacdbccaadbdccbccabccadacdbcbdacbdacccabdbbddddcdbcbaabb
+abccbdddacbbabbccccaaaabdc
+aabdbccbcabacbacac
+dcaadcdbabcdacd
+ddcdcadbacadccdddcbcbdadacdcddacbbaabdabaabdbddddcabdbddacabadcaabcabbcdaabbaacccbcadcddbddccdddb
+bdbacbcddbcddadbbababaabcabcbbbdbbccdbabaadc
+ddadddccaadbcddcccbbacbabad
+dadccdcddcddbdaaccdccccbccaaadacdbbbcacacacbcbdbddaadacadbbccadcabbdaabbdabaa
+bdaddbaaacbcbadaaabadacbacdaaabcaad
+cabdbddaddbcddabbdabccdcadbaccdabddbcbbccbdbadbabdbccbdcdbdbbabacaaaa
+bcbbdacbddaaadccadcdcbccbcadbdabdaacbbccaddcabaaccdaadbdbcddbbababdbcbccaddaacbdcdbdbacdcdbccabdadaa
+ccadccccdacccb
+bbbdcbdabdaacdacaaaccbbdbdabbddaadacadcbaaacbabbbdabdcdcdbccadbbbbccddbabbccdccccccbbbabcbcdbaabca
+adadaabccdcabdcaabadcababadaabbcbdbbbcbbbddcbbaccbdcbacbcdcdbacaabdadabbdbbcbdcddadddabcaacddacacd
+aaabbbdacaddababaabacbbcbacddaadaadaababbaacdcdbdacaddddabaaabbcacaabcabcdccbccc
+bcddcadbdabcccacacaabdabcdbacdacbcaabdbbdbcadbbcbacadbccbadbdbcccadcaaaddaacdbaacbbbbaaaaabbdbaccdddd
+ccaddabbbcbadbaaababaaabacdcd
+adcbcdbdcdaacdcdbbacddbbacbbcdccaaaabcdaadbaabbcd
+dadccbbccaacbdccbaddaaadaccadabbbcadcadbdddbdbbadcadbbcbbc
+bdacdddadb
+dcbaddaabccaa
+ddbabbddcbcccbbbdadadccaabdabaccdcdccacbbcacddcccbaacdbddccdaabdacbaccbcdbc
+baccaaccabbbdcccadcbcaadbcacabacbaadabddcdbcbbcdcdccaadbbaaa
+bccccbddbccaccdcdcdadbdadbacadcbddbbabd
+abbcbaadaabadbdbacdabbbabbbbaacdcadbbaccabdacdcacbbbabadbcddccacaaccddabcbabaccbcccbcdaddaabdaaddaabadcbcbbdc
+bcdbaddabdcdadbbbbbddbcdccadabaacbdcdbaaddddabdcabcdadddddbdaaabaabcabaadccacb
+aadbdaddcdcbaadccbcbbbcadcaadaabccdaabccbcbaacccbaddaabaccaabaccadbdbca
+dcadaddccdacabbcdaaabdcabaababcbccdabacccbadabdcdbaccadcadaaddcdcdabdabaabbcbccbabbccbcc
+aadbdccaabdddbcadadddcdadbadaadcbbbddc
+dcaacbabdbbcabccaabadabccabbbabaccabbccbbabcbadadacaadbdcdcbabbaaddadbabcddddbdbaacacadacdcdd
+cbdcaaaaabdddbdbd
+dadbcacdbcdbbbccdbbccbbbbabddbccabcbadaabbcaadb
+dbcacadabaccdbdccdddaddcbcbcadabacbbcdabdb
+bbcadadbbcdacacbcdbccbacccdabbbdcaadcdacadcbcdcadcacdddaaccda
+dbbabbddbbcdddadadabccdcdaaccadabbbbcabcdacabccaababadcdbbcdacaadacccdcacaaadcbbcbaaccbacacabacacbcddabbdaabb
+acdcbacdcbcadbddddbdcccbcddabdcbbbdacbbbcabbbba
+caacddacbccddadcbbbbacabdaaddddbddacaccddbdbbcdbabcabddddadbcdccdbdcc
+bdaaddbccadbccbbaaadcabbdddcaabdadcddacbdcbadacdabcbaacdddbaada
+baaccabcaabcdbcbaaacddbacbadbcabacadddaabdcdbaadacaabcbaabcaacdcdccbdddadbbaadcccbcb
+daddaccbcaaabbadbadabbcabcdbbcaadcacabdabcdadbcdddaacdbcdd
+132 33
+caccaacbbabacacacaaccbaccacabacaabccacaaccacbacbbacbccccacabcbbbccacbaabaccabcaa
+abbaccbcabbcbcccaccbbaababbabcabccbba
+cbcaaabcbbabaabbabcababcbaccbaacaacbcabaa
+cccabcbbcccbacbbacbaaacaacbcbcbaaccbbacb
+abccaabcaacbcababccacbccaabacaacbbbaabacbbaaaabcacccacbcbcbaaabba
+ccaabbaccbabababbabaccaaaaaaabaaaabcaabcaacbacbcccabcaaacabaccabcbccbabbccaaaccbcbaabb
+cbabcaabababbaccabbacaacbbbbcbacbbcbbcbcaacbbccbbbccbabaaacbaccb
+ccbbcaabccaacacacbaaaabbacaaaabbacccacabccbcaaacbaaabbbbbacaaccbaabaabacccccaaac
+cbbaaaacbcbc
+cabaaaccacacbbcacccacbaccbcabaccaaabacbccbacccbcaaccbbccaccbcccaababbbabbbbccbcccbacbaccabcbbabbccbbbcc
+abcaaaabbababccbbcbcbabcccbbabbbcbcbaabaabbcabbaaccabcbccbcabcbcaaacacbaabcbbbabbcabbacbacaabbcaababaababbcc
+bbacbaaacbacaccbbbcbacbccbaabbabacbacabacabaaa
+aababccabbcbcacacabccabbacacabbababaacccabacccbcbaaaaaa
+aaccbcabbaabacbcbacbcbcacacbcac
+baaabbbabcccaaccbaccacbbcbcacccaaccabccbbaccbcbcbbaabcacabbbbacbcaabbccb
+ccacbccaabbabcabbbccacaaccc
+caccaabbabbbb
+abacacbacbaccbccaaba
+acaacacabbcaaababbacaccaaccbcbbcabcabbbbcaccbba
+abccbaabbbbbbacbabcccababbbcabbcacabcbabccbbabcaacbccabacbbaacbcaaaba
+caabbccaaacaabbbcaaabcbbabaaacacaaaaccccccabcbaaa
+acabbabcaccaabbbbabcbbaccaacccaabbcacbbbcbaabaaabcabaaaacbca
+abbccabaacbccaaacabcb
+abaaacbbbcbabbbbabbaccbbbabcacbcabacacbabaaacaccabaaacabbaaaaababbbacaacbabaaaabacbcbaaccbacbbaccacaacbcaac
+caacaacbacaaaababaaccbcaabcaaaabababbcaacaaaabbaaacbbaccbabbbccabcbaaabbccaacacacbabcabcaabb
+cbbacaccbbaccbcacbaabbccabbbaaccababbbcacccbabcbaccbccaacacaccbaacaabbbaccbcacc
+baababbcbaaccabbbbaabbcccbcaccabcaccbabaabacbcacbabcbcbbccabcbabbbacccbbbacaaaacaabbcccbbaccbcbc
+abcabcaaabbcacbabaaaccbbcbccbccbbbbbcaabbacba
+ccacabcaaacaaaaacaabbcbbacaabcabccabccbcbbaabbbcac
+caaacbcbabbabbbabbbaccbcabbacabcacbababbaacaaabccacbbabacacbccccabbbcbcbabcabbcbbcacaababcbcc
+ccaabcbbbcabbacbbbccabcbcbabcaccbccbbaaacccaabbabaaccabbbcbabaccaaaabbcccacbabbaaaacbcbcb
+cccabaaccbccbaacbaaaaabcbbcaabccaacabbabaabbabaccacbcaab
+ccccacbcababacbacccccacbbacaabccacbaaaaaccbacbcbcbbbbbbbabbbbaaababcbcaacacbaababcaabbacacbccbccccacacbbc
+bcabcbbabacbbccbcbcccabcaacbcabcbccaabcbcaabbcbbabcabbacababcabaabbbcbacabbbbaabaaaaabcaaacccbccbacbccabc
+accbbaaaabacacbcccbbabbcaccabccaccbcbcbcabbabbccccbcbbbcaabbabbaccccbacbbccb
+bccbbbbcbbacacbbccacaabbbbcaabcabbaacbacabca
+bbbbacccccbcccbacbcaccaab
+aacacabbaaaacbbabbbaaabaacccbaabaaacbabababbacaabbbbccbbcbbbcccaaacaabb
+baabaccacaaacbbabacaaabaccccabaaacccbbbcbaaacccbaaccccacbacbcababbacbcacbaccbcccabc
+bbccabacabccaaaabaaabbaabccbcabcababbccaaaacc
+caaabccaacaccacaaacaaacbababcbbbccaaaab
+bcbbbcabbaaaccbcbcacabbaabbcacbaacbabbcbabccbbacbaaacaaababcbcacbaabacacaaaaccbaccccccbcaac
+cbbabbabcaccbbbcccbbbaabaacbbababaaabcabaacabacabcbcbcacbbaccaab
+cbcacabbabaacbbaccccaabbcaababbabcbbcbc
+bcbccabbbcbcccaaab
+abbbcaaaaaaacccacbabbaaccbababbbcaccacacbaaabbbccbabccaabcbccbcbaabcbbb
+ccbbcccbbbc
+cbcbccccbcacccbccabaabccacaabacbaccbcbacacaaacaaccbcbcbabcbabbaaaacbac
+cbbbccababbcbaabaaabcbacbaaaaabcacbaccccabaacbababcaccccbabcbccbabacbbcccccacabcabbababaaaacaccbacc
+aababbccbbbcabacbcabcbbacaab
+aaabcaccbbbabbacabbbbaacabccacbbcccaacacbccbcabacbb
+bacbcaccbcacbbbabaabbacbccacaabccbaabcaccbbcacabcaccabaaababbbaabbcccbbbcbcbaabb
+babcbcbccabaccbccacccabacbabcaccabcbccaccccaabababcb
+bbbbcbcabaacbcbabaaaacacbbababcacbbccbaacbacbacacbbbccaabaaaccaabbcaacccacccacacbccbbaaccbbbbcabaccbcbacbcc
+cccaccacbcacabaccbaabbbbbbcccaccaaacaabaaabcababcbaabacaaabcbaccaccaacaacaccabbbbbcaaaaaabcb
+abacbbbcccccbbababbbaccabcbacbbbbcccaaababababbbabacbabbaccaccccabaac
+babbbaccabccbbcccbcaabaaabcabcbbbcaaacbcbabbcaccabbabccaabcbccabccbbaabcbbbaabbcabaaaacbacbacbb
+cacbbacbcaacacbbaabccabbcacabccccacbaccacaabaaccacabbccabcaacbcbcccababcaabc
+aabbbcbacbacbccacaacbbc
+abccaabccbbbccbccccbacabcbcabcabbaabbcbacbaaacacbcacbacbcaabbabcbaacbabcacbbbabcccbbcbcabcaccabaac
+ababcbbaabbcbbbbbcbbbaaccbbabcccbcbabbabaaaaccccccbcbcbccbbcccccccacacbabcbccabbbbccaaaaabbbbbbcbcaaccb
+ccabacccabcbbabcccabbbaa
+cbabccbbacccccacaabbacabcbbaabaacbabacccbcaaababacb
+bcaaaaaaccbabbaabcbaaabacacccaabbabcbabbbbbcacabaccbcccccb
+acbbaccbbcaacbbacbbaabaacbcaabbcabcbacccccaccccbcbcccacbccacbbabbbbbccaababcbcbcbccaaaccbccacccbcccbaccbc
+cabbabbabaccacbbaacbcccacacabacbccacaaaaabbacaabccacacbabbcbacabccbcbacbcccbcbab
+ccaacbaacabbabccabcbcacbaaccccccacaabaaccccabaacbbbbcbbbcacbbcbaacbcccaacbccbacccbcaabbbcbbabbbacacbabcc
+aabcabbabcccacbbababcbbabaaaabbcabbccbbabccaaacccacbbcbcccbbaccaaacbbbaaabaacacbbcabbacabaaaaacbcca
+aaaacaabbcacbacacaabacacbcaaaaaababbcbbaaaaaacacbbcacbbbcbcbbaccccababbcabccbcabbabcaabaca
+bbcbbcacbaccaaccaacb
+caabcbcbbcbcbbaacaabbbbbcbaccaacacaaabaabcabcccbaccacaaccccbabac
+cbaaacccbcabaaaabbaacacaacbabacacbbccaccbcbabbcbcbbabacbbbcabccbcbb
+caccccaacbcaacccaaaabaacacaaacaaaacabcacacaabaabbcaabaabaabbababaacbabcbbbbbacccaabaaababbcccbcaba
+cbaccbacabbabaacaaabaaabcccaacabbbaaaacbccabaccbcbbccacacbccbbacaccbabaaaacbcccabcaacabcaacaaaaaacbcacccbcc
+cacacbbaacabaaabbccaccabcbbbaabbbbaccbacbabccacabaacaccaaabcccbaacb
+abcccccbccccccccbcaca
+accacbbabacbcaccaaccbbcbbacbcabbcababccacaacacacaabaccbccaacabcabbcaab
+cbbbcbbacbcccabbccbcabaabbbaabbabcaacaacabcbcccaacbcbbccacbbcbbbcaccaaaaaabccab
+aaabaacbccbcbbcbcabcacabccccbbbbcabacbacbcacabcbaccbccacabbcbaaacbb
+ccabaccccccabbaabbcbbabababbbacbbcccaccbcccbabcccccaaaaacacbccabbccaabbcacaa
+aaaacccabbbbbabcbbbaacaaccabcbcbccbaaacccbaacbcabccaccabbacacbbcabb
+acccbbbaccccbcabccabcbbbcbcbbbbbcbaabbbbabbabcaabccbaaccabcbbacbcacbccbbaabcbabbcccaacaacbbcbaabaacbcbcccacbc
+aabacbacacbbacbaaacbccbcaccbbbacacbbcaaacacbccababcabccababcabaababbabaccabbbcccccaaacaccababaacccababca
+caabccaccbaacbbaccacbccbabbbabacbcaaabbaaaba
+aaabbbbaaccbcbccaaabaabbcabbacbacabcbcccccb
+baaacabcaaaaabccaaabbbcaacaabaccabcabcbaabbccbacbaccbacaccacbbbbcabcbbca
+bccbbbabaabbaaacbcbabcabccabcab
+caccbabbabacbccbccacaabacbabbbabacabcc
+acbcbbacbaabcbccacbccbaacaba
+cbbcaaccccbccccaacacabccbb
+acababcabccaccbaccbaaabbabcbbaacaccabccccbbcabaabccbacccbcbaaccbccaacbccababccbb
+bcbbbcaaaabcbabccbccccabbcbbbcaaccaaccb
+bbcabbbacaaacbabccacccaccbaabcccaababbbabccccaacaabcbcaaabbcbbc
+aaacbbcbaacccacbbbcbbcbabbbbcccccccaabcbabcabbaaaccaacbacaaccabcaaaccacb
+bcaccaabbbabaab
+accbaccabab
+bbcaaabacbbbccbbccabababaccbccbccaaccaabcbbccaabaccbacacaabbccaba
+accabbbacbbcbbacbaabbccbcbcaabacacbacaacacaabccccacbbbbbabbabcbbaabbbcaccbbcbcb
+acabbbabccccbbcabbaccbbccccacbcbcccaccaabbacacbbcbbcabbacccc
+cbcbbbbabbcbcccaccabaabacbcabcaacaccaaccccccccaccaaac
+cbcabbcabbcbaacaccabcbbbcabbbcabacbaaabcbcaaaaaaaaabaccccbbbacabbbaaaacbbcacccccaaba
+bcabaabaabcbbbbacabbbcabcbbcaaacccaaacbbcbacbbaabcbaaccbcabbabccaabcabcbbcaccbbababbcaaaababb
+aacbcabacbbcbbaacbbbababbcbaabcacacbcacbcababbacbbcbbcacbcaabaabbcacbbbbcaabcaccccacbcccaabaacaa
+abbaccabcbacacccababbbbaaaccaabbcca
+acacabacccbcbccacbabaacabbbabacacbabbaccbcbbbbaccacaabacbcbacbccbabbcacccaccabccaabcb
+abbccacacacaaccccccacccbcccaaccaabbabbccaccccbabbbbacabbbcababccaaaaacccbbbbcabababbaabbccaabbaacabbcbac
+babcabbbaccbbabcaccbabcbcababbcaaaabbacbcaaaacbccbcacabbcccaaacbbaabaaabccacabbbabbcbbcccbcab
+bacbbabaaaccaacccbcacabacacaacccbcbbbbbcaacabbcacaacbcbcaabbcabcbccaaaaabccaacbbccbccbaabab
+abccacbabababcaccaacccacaccbabaaaaabac
+aaccccabccbccacaccabaacbbccbbbaabbaabaaaccccbbcaaaacccbacbbbbbacabbcabaaaac
+ccbbbabbabacbcbaccbbcccaccbcbbbaaabcbaabaacacaabaaccacaacccccbbcbcaaccc
+cccababacccbbccbacaccbbbcbbacabbaaaabcacccbccbbaabcabcabcccacaabcbaacccabcacbbabbaacbbbccbacabccbbbcbbac
+acaccbaccbcabbcbcbbabcbcbbbaaccbaabbabaaccaaabccacacaaaaabbcbcaabbacabbbcabccacccbaabccacbaabbcaccaaaaacb
+cbcaabaabcccabbccabbbbbaaacaccbbbbcbaacbcccacabbaabcaacaba
+bbcbabcbccaaccbbcbaaaabccbccbbbbcbbaabacabaacaccbbabbacaccabaccacaacaaabbacbbcabcaabcbaaaab
+bacaaaabaccabbcccbcacbcbcccabacaccccaccbbbabcbaccabbacbabccaaacaccacbaabcacc
+bbcbbcbcbbacacbbbccccacaabcaabaacaccbababcabababbaaabccaccacacaacabbccbcaacbcbbccbababbcaaccabacacabacabaa
+ccabcbccbbacbcabbbbcacbcbacabaacaccabbabcabcc
+cbacccbbccbbabcbcbaccbaacbccabccbaabacaccababbcbcbcaccbcabacbbcaaacaacabccbacacbababababcbcacacccbabcacbbcaca
+abacacaaacabbaaaccbacccbbbab
+bbccbbcabcbbbaacccbacaccccacaccacbaabbacccccbacbccacbcbacaaacbbbabcbcbbababcacbacccabaaa
+caacabccbccaacaacabb
+aabbcbccbbbaaababbcabcbbacaababaaaabbabccbcbacbcaaabababcccaa
+bbaacaabaaacacabbbcabbaaaabacbbaabbbcabcababaccacaabccaacaabacbaacbacbbbcbccbcbbcbaabbabacaccbbbacbbcaa
+aacccabbbaaccccccbcabbcbcbbbccbaabcbbccccbaccabaccacaaaaaaaaccbaaacca
+aabcaabababaaaccacabcaabccbcabbacaaaacccacbcabbabcbaccbaaaabccbbbccbacbccbbc
+accabaacaaabcababaacbcaab
+aacacbbabaaccacbbcabbcccbcacbaabaabcbaccbacbbb
+bcabbcbbababbccbabcbbbabccabaaccbccccacbaabbcbabccbbcabbacccabaa
+cbcabacacbcbccbbaabcabaccacbcbbbbaabbcaccaaacacabaaabcbcaaaccabcbaaacacabcacac
+bbabacaaabbbbbcbbccacccabaacaccacabbcbcababbaacbcaacaabcbacccccbbccacab
+cbcababccccbcacbbccabacababaababbaacabbacacabcbbb
+201 36
+dcdcadcdccddabadaddbacccbabbcbdcda
+bcadcdabcaacddccacdadadadcdbcbdccbbdcddcbbacbbcadacaa
+ccdbaccbdccacdddccdaddacaa
+dcbdbcddbbbdbbdcbcacddbdabcbacabbbbbbcbbcaddaadbdccaabdacbabbcba
+bbaacadccadcaadadccdbbddcddcbacadab
+aabaccbdcadcaababbbdbbaadcdcabcaabccdcbabcbbabbbdabcdccbbacbdbadccdbbcbb
+abddccdadbddbcbacbcabcdabbccbbbbdccbdddddacbccdabbdbabdcaabcddcdbdaccddaabdbcdddbdacc
+ddcbaddaccbbcaadbbadaaac
+adbbacbdbcabaccadcdddcbccbcacddcacdbcaddccbbdacdccdddabbddcdccbadcdcdccbcac
+adcbaccabacababbaacdbdacddaccdcddcbbbcddaaabbcddccddadbcdbbbbcbaccdcadccaddaaaababbabcccadddbbbaabdbcc
+babbabcaabccdcbdbdbcadbabbbdbaacddaddcccddcabadadbcdcbbabcdaddbcccaccaaababbc
+bcababcdcbbbbbddadddbadccbcaaacbbabdccbcbacca
+bacbdccdaacccb
+bdabcbbcbbaaaadcbcddbdbccccdcabdbdbdbdabddabca
+bbcdcbabddbadcaccdcdcbaabcdddbaddadbdccddaabdaaacbcdbbddad
+aababbbdbdabcbdccccadcaabadbacdcdcabcaacdbbacbaabccddbdbadbdcbabbdbbbcaacccadccbadcd
+ddbdbbccadababdabd
+dcaadacaabddbcabacddcad
+cabdddcccbadddbdcaabbcdd
+adbdacbcccbbdcdbdabbadccdcbaabaabdccddaaccabaacabbaaccdcdbaddacaaabcddaaadbbaaadacdadbdaabddbcdcdaddbaad
+abddcbdbaacbcbbbdbcddccdddbcbcbdbca
+acbbdcbbacbaadcaabbdaddcbbccbbdaabbadcabbdadcdddadbddaccacadabbbcbbaccddcbabcddccccbaaddccacdbcbcbaaaddcacbc
+cacbddbbabbbabbbabdbab
+dbaabdadaccbddbdcdbccbdcdbbabacdcdcbccaabdbdadaccdcbdddcdcaabcbabcccdbbacddcbbdadaacdcaabcddbbddbccb
+cbadabcaccdbabcdabdabbcbabcaadaabbcaaddbcddacdbdcbabcbdadadcaadbdabacbaababdacad
+ccacbabccddaaddaaaacbbbcacbbdcbdababdbddbbadabaaabccabbdcadbabaadddbdcabdcbdccccacdcbbbdcbaadcbc
+bcdbbdabdbabbbabbbcccbcbcdbabbcbbcbdccaaddcabadacadabdbddcddcbbdbdbacacbba
+daaadbbcacdbadcddcbdbdaacadabbcdccacdbcddcdcbcabbad
+bdcddacccbbdcadbabadddcaacdcbacddadaaad
+bdcdbcacdadbddcbbacdcadbcccaacbacbbbcdabbbbbabdcadcbdadbccacad
+dcabcdaaccdaababbdbcacacdaccdbaacdccaccaabccdccbcddbcdacdcadccadccdcac
+bcbcacabdbacacacdcbaaccaacdbbbcdccdabdcaadbbccdabdcbdabcddadadbbaccabaaacdbdcbbdcdabcaaa
+dccdbbcacbcbddaabbdcdcaabacbdcbbaadccaaacbacaabcbbccccabdab
+dbccccbacbbbcaddaadccadccdbcabdaabcdddbddadcbdcbaccdbbaabddbddcdcbdbcababcaadbcaaadcacbcabdbdaccddbdaacadc
+bddabcaaddccbcadcdbcadbabddaaadaaaacdddccaadacdccbcddadccdadccabdbdddacacabbdbcbbbdccbbbdadbcaccdbbbc
+acdadaccdbcbbdabbcaaaaacbbcbccbadaaadcdabdcbdadddcababcbddbcbdbbaacbbcbacbbdb
+acddcacbcccbbcbcdcaddbcabbcacbdabcaccaaaabbacbbabbdcabcdabbdbccdbacdddccddaddbbdbcbdcdcdcddab
+bdccdddcbaaadaabaaacbcbabbdacddaabddcddccbabddbacdbdddbddcdabdbddb
+dcdcccabaaaaabdbaabbddaaccabbaac
+bbdddbbcacbaddadccbacabbccdabbcbabadddcacaab
+bacaccdcadbdaabacabcdaaddcddcabddbbaddbabcddbbbccbdbacdcadcaddddbddbcdbacaadcdbaaa
+bdbdabaddddaccdabdddbbacbdbcacbacdcaccbacdcdccc
+bddcddcdabddacaaabbcbdcdbadaddbadcdcacbabadcdccabcaa
+bdccbacadaabcdcbbddddadbcbdbbcbbccacaadadbddbbaccaababddccacaddabccdcdddbbbabbaab
+cbabdcbcababcbcabdbcdccbabcadcbacdcbddcdcadcbbdbcaddccbcbabdbadcdcdaacbcccbacaabadadcddcddcdbaa
+bcacacdabbbcbabdcccaadabddcbbbbacadddcdbdacd
+bcccdcdbbbdcdccbbdbabdbdabbbcbcccacbdddaacabaacdabbbddaccdccadaacdbadbacacbaba
+bbdbbaddbdbdcadcbdbcadcdcdcadcdadcccabcadacdaabccababcabbacbbdcabdcadacddaaddcacccddbbaacdabad
+dbaddbbabbbccbddbbbbaccccddabcdbbcadaccacccadcdacacbbbdbaadcccddb
+cbacdbbabbadccbdacacbddcbcdabcccdacdbabadbabcdccbdccabacaadaadaddabccdbdccdadaccaddaddbddb
+aabbbdaabcabbaaddaadaadccdadaacbbbbddc
+abccbcaacaacccccabcbbbdabbabadbbadbacacabadbb
+bbaccacbbcdadaabdabddbcbccdc
+bbcadacbbdbdddabdcbadccbadacddcdbaabcbbcaccbdbcadaa
+cdabadcbddbacdaacbdcabdbcbcacccabdaacbbacdaddcdbbdddccabdcdadbdccbcdaaddaccb
+acacbdabacdbbcadccababbbaaaadabbbbcdbbabaadcdacacdcdbabdbcccbddbcbc
+cbbdbabbabbdaaadbaddadbdcbcdddbbdadbbdcbbadaaadcababadbbddabdcdbbabdcdbcdbbdbbbbcbabad
+dcacdbadabdcddcaddaadcaaacaadbabbcccbdbcbcbbdabbaccddcdcdccdcbaddacddddadbdccd
+ccabaddaaccbabdcabbcdaabaababcabdabdabccc
+dcbcbdcacbccbbdabaaaaddddddaca
+bbcabcadbadbdcdddcbcabaddcaddadddba
+adccaaacddbbadaccdddbacdbbbacccaabaccbbbbbbbadc
+bdcacdbadc
+cbacaababd
+bbcccccbdcdbbcabbcaadccadadddccbddddcbbbcbda
+abbaddccacbbadadcbbaabadcdccaddaacadcbdadddbbaacbadadbaaabbbcacdbcbdcdbbdcadadadacaccacdbbab
+addabcadbdbbbaddc
+bdabaabcbccadbcddacacadacaacaacbdbc
+addcbabccbcbdabcbbcabbbbabdbaadbbaacacacacbbbdcabddadaadbacaaabbbdccdddcaccbdbcaddccaddadadabbdacaddadcdb
+bcacaacbdccddcbdbacacdcbdcdacacbbaaabaaaccdcbca
+dcdbababdccbbdccdadcaaadacdaaacaaacdbdcbbbaadddacdacabbaadcbbbbbddcaababbbdaadcbbbadbacaccdbbadbacddcabcbcad
+ccccbdcbdaccdbbabcabcdabbdacdccdcbadaaadadbccdbcabcbccbbadbdcacbccaabbbdadab
+dcaacdaddccd
+dcacdbbdabbdbcdadabadcddaaacadacaaccdcdacccbbdbadabacccccbbabcbbadcbacddcadcbacccbadca
+caadcbdddcadcdaabcabcaaccaccbcbdabdaabadbcadaaabbcabdccbbbbbbd
+adccacdaaddddaabbdcc
+cccdacaacddcdadacabbcbccacaaabcaaac
+acadcccdaabccdddabdbccaabdbcdabcaaddcabbacbccbdabbbcd
+babdbbccdaadbbbdacbacadacdaccabccdabcbbccabcacdacbdbbbcbcacbddbccdbaccbcaadcddcbbbbcaacbdcdcddcc
+abdadcdbabcacdaabaabacabdadccccccdcdbdccdddccddacbaccbcaaacaccaccbbbcdddbaddabacbcbdccdbacddcabdaccbacbdaddcd
+caccabccabbdcddaaccadcaaaccddabdcabcbcbabcadcbddadddcdaccabdaaaacbddccbb
+bdabbbdadccaacabcadcacadddcabccbdc
+adcbddcbcacacaddbcaddbbbadbdabaaadaddbbbcbddddcdcdcbbabadacdadcadaddcdcbaaaadddabddccacbacccbad
+acdddaddaababcdcbbbdaccaaacbabbbbbacdbbcdbbcabcbbdddbbabacabccaaddacddddcbdaabbddbcacaaaadbbad
+ccbdcabcadbbbdbababaddcaddaddcbcaaacaabadcaaadacbcdbbbacaaccdaacbcadcbbbbca
+cbdacddacdbbbccbdcaaabcdbb
+bbdbabbadcaadcdccaaaccbcabdbbbdcbbbbaaacbbcbadbaaaacbbcdabcabacaadcacbbbcddabcdccba
+dcbbbdaaadadbacacdbbdcdbdcaccdadbaabdcddcdbaadaddcacabcadaacdccddcdabaabcccacacdccccdacadadabcbbdb
+aabddddbdcbddbbacddcdbcadbbdddcdcdbaabdbccbbdabdbccbab
+dbabdcdcccbaadbcbdddccbbbdaadbdacbcbaacdbcccdbcccbabadbdcaccacdacbdcaddccbbacbacdcacbcdccadbddb
+bdcdaadabcbabaaccaadbbddb
+dadbaddccdcdadcdabdcdbdcccacbddadadcdcbaddbcbcbdcdcbdaccaa
+dbcdcccadddcccbadccddbdbadaaddacdcaaccbbaabbdaccbacbbbcbababbacabadadbcddaadabdcbaacabbabbdccbbbab
+aadadbdcaadaacccaaaccbaaadbcbbbbdbddaacacabbdddbadccabbbcdcbcbcadacdadddaabadcd
+ccddadabcacddacabdadbdaabdccdaabbbbdcbdbdababbddaccabdcdadbdaadbbbbdcadacabcbabdbadbabdc
+dccabdddddccbbacbaaccccbaaa
+abcbcabdddddaadabbddcdb
+bbaacabbcaaadbbdcdddbdcaaaaab
+dbcabdaacacbccaabaccdabcbcdbcbad
+cbdcdabdcaaddbaadabdaabdbddbcbbdbbbcaabdadacccbcdccadacaddbcdcdaddbbcaacddcddaabaaaacab
+adababdaacadadcccbaadbaabdbdbaabbacaccacdbbaabcbbcadcddadacbb
+cadbcaadcdaccdaddbaadaadabaccbabcadabcbdcdbcacaaa
+ccabdcaabbbdabcdcbcadbbdddcadcaccbacccacacc
+dcdcabcadacbdbcbdbdbddbbaaabbadbbdddcdadd
+ddbdaadbbabdcbcdccbdbcacbcacaddcbdcaadccdbbcadbcad
+adaaabddddcbbcbbaacacdcbbcdabaacababbbbdbaddbdbbaccbbaccadaacbcccad
+aaccabadca
+badadabcddcbccccdddabdaacdbddaddc
+acabcacadacbbadcababaccaacccbdd
+dbbdadaaaadadbacabadddbaa
+ccacbbbccaccbcaaaababcacdbcccbadbacccdacabadbcdcbaacbcaacdbabcbbaadbcaadbbcbbcbcbacbacabcaaabacdbd
+dbbaaaadcccbcaacbbcdbadbdabcdccddbdcccbda
+aadbcaabadabbacaacbcbbcadccbaaccdacbdabbdbabacacdad
+babaccdcbabdccabdccdcadabaaacddcaaaadbbdcdcbdababbdcaacdacaabadadbda
+dbcbcaccaabdabbbdab
+bcdbbaabaabddcbaaabdabcdbabddaaacbdbbbaadbbddaabbd
+ccbbbccbdbdbbddadabbbbbdbdabbbddbadbcbbadcaddbaabbacaabaaaaacabbdadbadbddadcddbaccababdacdac
+ccdbbcadbababcdbacccbdbbdbdbaaadacddaacaadbdcbbaacacbaaabaaad
+cabdcdadbbdcdaacabbbbcbdcdaadcadbaadcdbdcdacccdbddbcbbdcbcabbadcbcdddcddcbd
+acbbdbacaaab
+ccabaacbbabdbbbdacbbcaadabcdcdcaacdacdabbbdabacadb
+caccbcddbbdaabcddddacacdaccdcacadadbaadacbdcdaccbbaadaddccdcbbdbbdbdbaadcbaacadcaaaddbddbd
+dacacabcccadcddbaadcbbdbddcabcbabab
+bcdcbdbdbdcdaddcbcbcdbdbcddbbdddcabcccbbcddabdadbaccaadddabbcbaabdccbabcaaccdadcbdbbbadabd
+badabcbddcaacbabdccdadabaadcadbbbdccdadcdccccbbbbbddabcccbabdadcaadaacbaadbdaddbdbbccdddacccabcacbcadadca
+dbccbdcbbccdaacabbdcbccabbcdbcddabddcabbbdacaddaabbc
+aabcdddabbdacaabcbdcccbbadcbcddaddadadccbdddcbcdcccddcdcccdaccbcdabacbbdadacdcaacaaaddadbcaabbabdcccccbbdddb
+ddcbcccdccbdbbdccaacaddccbbdbadbabccbddcbaaadbbddaaad
+bacbddcddcddbbcbdbcabaabab
+bdbdabdaabacbcccabaaddccdcaabcabcbaaaccbdbdcbbababadcbcbaccbaacadbcbcbadc
+aaaadadcdccbacbadbbcddcddbddbdacbddadccdaccaadbacabadacadbcaaccbdbdcdababaaadbcbadccabccbcabcadbbadbacbdadda
+ccddddadabcacbbbbccaacdbaddaabbdaccadcddadabbaacac
+abadbaabbdabcbcbcdbdbcaddadcdbaccdbbacdddbddbbbaadccaacdcbddbbbbbdccdbadabaabcdcbababddb
+ccbcadbccbcbdccabddadddba
+accacdccdaccacbbaacdcaadacdcdbdccabdabcdbabbbdcadaadbbbcdcaddcbccaccccdaabbddcbdbcdddbada
+daccbbddcbdcadcdaacbabbcadbacbcdaabdcccadbdbdbbadcccabbadbcddbacbdbddbaabbbcccccd
+adadbaaddccbcadccbbadadccbdcdbdadcdbddabdbabacdbadabdddbdcbdacadbdcaddcccdcdbdcbbddbdccbacbacaacdccabbdadb
+accccbcbdbcdcccbdddcdbcbaccadcdbaddbdacdccaccabdcaababddcdacd
+dcdbbcdadadcbadbcadaacccadabaacbbdacbcdbddbbdcabaadbbacccbddddcdadcbdacdacbacbbcacbbab
+cbbdbccabccbdcabdbadcdacbdcbccaddadbaabcabccdccddcdccddcdcac
+bdaadbcaccdacabcbbab
+dadbcaaabbccaadddcccbdcbbdacbcccdcbacdbccccccccbbaabdbdcdbbcbabdcaaacabaccdbcdbdac
+dccbbacabd
+bcccbbcbcacbbbccdbddccaaddabbccdabdbcbdbcacbcdac
+acbccdcadcbabccdcbbdbdacdddbdaccdbdacbabbbdcabcbadabbacdacbbabbddcdbcabcaccdcbccddcbba
+adbaabdcadddbcabdcdbcbdadbdbabaaabcbacdbaaabbbacaccccbacbabadbad
+bacddacbacdacbccabacaccdcabbbbbabacabddcaadabd
+dabdddbddcdabcaaccbbddaddbdabaaadcacacdcadcdaccdbdcdbbbaaabcabbcadcaadaadacccdcbacbabdaaaddcaaabccaacddbaddb
+bddaddccbdbdcbababccddccaddbabbbbdbcdbcbbbaaadabacbbcaccbdbdaabdadbcddbbcbcdb
+acdcabccdbcadddacccddc
+dccdbaccdbddcddabbdcbcdacdaaacaaabadddaccadcaacabc
+dccabbccbacbbcbccdaabacadbcdaadabbdcaadddaddcddadcaabaddcabcdabbaddbbdacccbccdaabccabccccbbbd
+bbacaadbddcdbacdccdcbadacdcaacaaacccd
+dacdcdbadbbbbdaaadddcdcccdbadccbdcbdcccbcdddacaabbcbccacbabcdddbbbaacc
+bcbadabdbbdcdabdaacdcdccabcbacacaaaaacabdbcbdcdbdbdaaabcabadacadcabdacaabddcaaadcdbdbbdabcccadbcdcabb
+dacabcccbbacdabdcabcbadddbbcccccbbaab
+cabacbbabddccabcdcabddbdadaadbbaacabbccabadaccadaddacadbcbbdbcdcbdcbccaddd
+dccdbdabddbddaccadacdbabadaabbcaacd
+badcacbabbcdcbbcadcdddbbcccaaabccdcbcbdddcaabaaadabbacbabccbadcdbacbcaacacdbd
+bdcabcccacacadaadccacbcaddcabbbccbdbbbcbaaccdaaadccdcdcccdcbbdbaccdabdcdaadc
+cbbbbddacdcbbadaadbaccacbb
+dbdbdacaacbadbcdcccaabbadbccbbaabddabbdddadcdbdbb
+abcbacaacaaccddacbabdbdddabdadcbadccdbdaacabcdcadcdcbdbdbba
+cbdbdbbaaadbdddacdddadaccbaaccddbccaaaddcdbccbbccdaadcccabdddbcbbaadcbdacabdaaacbbacabacacbdcadada
+acbabcddadbc
+accaacbbadabbdbbcbaaacccaaaadcaccadacddaacddabaccabcacddbbcdbcbcddbabcaacbdaabcabdddcbdcadadabcadbcbbacd
+cdcbdbacbcbcbbcdbaccabbcbbcddcdabdbacbcddacbababcccabbadbcdacbaddcbbdccbbacadadcaabcbdbdcacbbaadb
+acbccaaddbbddbcbbbacddbbdbbddcccdbccb
+ccbdcddaacdbcdaacaddccdaabccbbcbbdccdbdcaccaadadadcddbdbacdcabdcabbdccaaabcdcdcabdbdbcaccadccbaccbca
+abdcaabaccdddbbcbcdbcddcbbdbdd
+bbdcadbbbcabddbbabacaacabdbcddcbaaacddbaadcdcdaddacdcabcadcbdddbdbcdacabcddadabdabadccdbdabbbddcd
+baadddaabdadbcadddbcccdaacaadacccaaaddbddabcabadddacaabbbdbcbacdbbdcd
+dcbbacddbcdbbbbdaddbbacbdbdadbddaaadcdcdaacdacacaddaaadbadcbcaacad
+aacaddbbacabbddbdbdcacadcdaacbdabbcaaadccddcbcdbbbbdaddcbacdbabddccbdcdcbcdbacaaaacbaddba
+cddcccdbabcbcdbaadcdcabcaaadcccaddacc
+aacddaaacbcbdcc
+dcddacabadaababdadbacab
+acadabbdabacaabdccccaddabccbbdacacbcaaabaaba
+acbbabcbddaabbacb
+ddbcdbdbbcdbbccdbcadcabbcbbbcadbcccdaabdcbbbbacdcdadbdbabcbbabccdddbccdb
+bccccacbdaaadacadabdbbccdbabbdcdcbbcaadadbadcacaccba
+dbddbbbdbabcadabdcddabbcbdbddacabbccbbcbddaabbbccc
+cddcdbdbacbbdbbcbcddddaaaddadbacdcbbacacdbdaadddadbaaacdabaadbbcaddb
+cbaaacbcaaacbadcdaaaccaddaabdadad
+bcbccbaccdadcbdbbdd
+baaacccbddbdcbccabcdadbddbadacccbdbdbccbbcbbbaacbbb
+ccdcaadadabdbdacdacababdcbbbbcdcaabbbdaaccbababddcbbdcadbaadddbbbdcccdbadccbadaacdacaaaaaadba
+accbbbcdcaacbcbacdaacdcccaacadbbdbccdddabdcdcabbddcadddbbb
+acadacdcaadbcaacccabcdacdbdacadccacaaacdabacdbabccdabbaadbccdabbacdcaccdbcdbbbbbaaacccdbcbaaacaaacddc
+ccbadcdaddadcbdadcbcbbbdbadbaaabbccdacdcdcb
+cdcacaccdcabbcdaadbdddcdcbdcdccdadbbbbccbaacabbdcccacaabdaabdadaacdcdcbbacbacdcdadaccdabccccccdbb
+aabccaadbacbabdabbcddbaacadcdbdaccbcaccdcbacbbdddabbccaaacbbdab
+ddadaadabddcaaaaacaccababbaaabcbcdbdbbadbabdbbadddaccacb
+abcbcbabbccbbdccdbdaccaabbbbdcccbdbcccddbbbabddcbcbbdcaabacadbcbbab
+bbdbcabcddcababdbbddccadccadabbbabacdbbabdddbabcabdbbabccdcbdbcbbaddbabdcaabcbdcddbcdbcabbdccbbcccbddbb
+ddaaacdddaccbabdadcdadabdbbdcacbccabcdacddddcbbadbabcbaacbaabaddaadcdbccddc
+baddbbcababcaadcaacccbcbaaaccabaadbbcacdcbacbbabbdccbdaadcadccddcccdbbbcd
+aaacbdbbdcbabbdaad
+ccdcbadbddabababacdbbdacadccdabccddadaaaacdbbcacaddabdbaacbbadbbccb
+bbaccacaaadbccdbdbbcbccadddadadaddddbaadacdbdcbddbcaabbbbcbacdaaddccdbaaaaabc
+bbbabcdacbbcdccadadacdabaacbabbcabbbbcdbbcacddcdddabdbccababdabcdcbcbbddbddcbadabcddabbdaadcbbbcbbadabdddccac
+158 126
+daadbadddbdbdbcdaca
+cadcdbbdcdabdbccbabdaccbcaccabaaac
+cdcddccbdaddbcabbbccabddbdbadaccababacdbddbcbcbbaaccdba
+badbabdcdbcabbbdddbbbaaadacadcddbcbadbcaacbcccbaccdaa
+ccdadcdbaadbbcdcddadaccadcaabaadbdbccdbbadcaabbdbbcdcbdabbccabddbddbcacbcdabdbaccdccdcacbabdacaad
+aabaabbabdbbccadadacddcdccbbccbbbbdaddcaaabddbcadabbddaadaabaaacccbbcdaacccbabaa
+bbdabddcabadbbbaddbbbcbcbcaacbaaacbdaacabcdbbddacdddcc
+ccddcbdadabacabcaa
+abdacadcdbbbaaacbbdccadaaadd
+bbabcdbccccdadabacdddaabbbbcbcbccdbcadacddadbdbbcbbbcbcbabaabaacabcddaacacdbaaadcaaaababdcabacaccccbcaccdcba
+adbddbcaddabbadadcddccaddaccdaaabbddadddddacdabcdcdaaabdbcabbccdcbbdbbbaaabdaaadbbbcbbabc
+dcdaacabbadcdadcdadbcdbacacdaccccaddbddaababadddbaccaadadcbbcddabbddadbddc
+babdcacbadad
+dabcdbbcdaacacabacbcbdbdcadddaccccbacdaadabdbcdcdcbddbccabcbbadadabddabdbcbaccabacccddbddbcadbdbccdaccccabd
+cabdcbcbaacadcbbcccdcdbcdabaccaacddcbbdabadddcdcdbcbdcbcddbbcbcdccbcdaddddaadbacdddbbdbdaccbaadbdcbdd
+acdbbdacbbcdcbd
+bddbadccdadcdaadabcbacadaccbabaccaaaabddddbdaabbbaccdada
+abbcadaacbdddbdddbaddccdadabcb
+dbbdbcbaddbabd
+ccbdabdacaabcbbcbcacadbdbadacbdaabbdcaaabdbbcdaccddadcddaaadadbcbbbaababbadacdcacadddadcac
+dddabddabacbbdaaddadcbadadbddbcbacdcbbbcbddacabaddcabdcbcacccdbadbadadbab
+dddaabcdcaddacbaabbc
+bbddbcbdddcbcabbcbdbcadddcbddabcdc
+bbbdbbdbbcaacdcacbbdbd
+dddccadbdbddcacccdcaccbacbdcaabcabaaccacaabdcdcbdaaccabbbaccacabaaaccdacdd
+bcadcabcdccbdbdcbdcdbabadcacbbabbaaaacbbdbcaaddacbcdabbbbdbabcbdacaacbccaadadbcabbdbddaabcba
+cddbcaadabadccbaadd
+dcbbabbbbcbcbbbadbdaddbacccaadacddcccbbcadccddccacbcddcdccdbaabc
+cabddadccaddddadddddabbacbabaaddbabdab
+baabbdddccbcadbdaacdbcdcbadaccabdadbabba
+bbacacbbcacbbdbaaac
+cdabaacabddcadcbccdbacbdddaacbacadcbddbadaabadcabcbdddbabadcdcaaaadcdbbddddcacbddda
+dcdddbdbcddbbdacbdbcccbaaddadaddcdbdbabaacbdbddbdccbdc
+cdbcbabbcbbddbabcaaccddcacccbabbdbbcdad
+acabcacddaa
+cdbbdbaaadabdcaccbacbcbbcadccbabc
+ddcbbacdcabacabbadcddddadcccbbabddbdddaccbabdaaddbbbacadbbadacbbcaaadacabdddadddabadbddbdadddacddacabaadca
+caddcaabacbadcdabdacabdacccbabbcddabbbaaadababdaaacd
+cbbdccccaccacbbadbbc
+dbcbbbcbbcadaacccbaaacdadcbcdabbbdabacabbccadbcdda
+bbabbbdacbcaacddcaccdbbbacaa
+acacbcabbcbbcbbbbadcdcbacabccbbbdcdcbbbddadacbddbddaacdddccabadcccaacbaacddadbdd
+baadbdacccdacbcadadbcabdaccdadaabadcdcaaacbcbdcbabdcabddaccdbbabcabcabadaa
+bddcbbccbccaadbaccbabcdabdbcccadcdabddcddbbbdccbdbdadbbbcaccbccbcbdbddc
+aaaaadcacccbbbcbacbaadacbdbcdcbdabaddbddaabdbbbbacbbcdacbaaddbcbdbcbabddddaddddaabaccaccbdc
+ddaadadadbdaabdadccddcaadaaddcbaabbddcadbbadcabdcbadaabdccdaa
+cccdaacabbacabaccbbb
+babaddccacbdccdaacacbababdadacdcbddcc
+dbdaadcacbabcc
+bacdccbcdccccbbdaadccdbaccabdcdcdbaddacacbbbbdbbaadbdbbcaddbcdbcbbdcdddadbcbcbcdaccb
+ddcdbddbdbacbddacbcccccdd
+bbbcdccdcadabcddacaacdbcdbbaab
+abddbaddacbcdbdbdcdaccadcdcbddcadbadcccacdaabbcbbabaababddc
+bdcbcdbdacbddbcbaaddcccaabadadcbcdadcbbbcbbcdabdacddcbaaadbccbaddcbbcadaaabbacdaacaadabbdad
+cbccaccccdcbbdccbbdddaabcddbabccbdbaad
+aacbcccccbbdccabbcbaccdbdbdccdaddccdadcdbcdcbdbbabdcaadccbdadb
+abdddaadacbcaababddabadbabcbabbbcbbccbdbcbbbbaaaadcbbcbbddaadb
+dbddadbcdcabdbcbdcbdcaabbdcabdccdadbbbacbbadcabdbdccacccb
+cbbdadbacaabaabadadbdcbbaccbaca
+abcabaaddcaadaacbbdabcacbacddddacdddddcbdcbdaadadbbabdaca
+acdcdbddabacadbadaddcadcdaacbbaacaacaddabbdbaacbcaabcdcccbdcabbcccabcbbcddcdcaaacdcdcbbddabcbccdcdccaa
+bbccdbbcccbcadaadacaccacadcbaaaadcadaaddbcbaccadbdbbddbbdcacbbadcacbabbcacbccdcdddc
+aadddbdbdbdddacabdadacdbddbcdccdcacaadaa
+dcadabacdcaacbbdcbccccbaaaaccdbcbdbddbdbcc
+adabcdbbaabcacbadaddabcababccacadcaddbbbcda
+ccdabcdcbabc
+bcbdacbabdadacaacdbdabaadadcdbbacbbddbabddbbbadabbabcabcdaddca
+bbabdcdbbacdcdcccbddabaddccbaabbbbbddbcdbaaacbaadaaaaabcadaaccadaabcccbbabcdbcc
+cbcadaadcbabcdaa
+addbcacbaadcacccbbabdad
+accaadbbbbdabacbdabddcaaacbdaaaddbacddbacdababdbccdcabcbacbadbacbcccdbcabdabaacbaca
+cbbcbacaaccdaabbdaadcdabdabbbcabcdacbdadabac
+dbaacdcbbacbbcadcbbcbabbcabadcbcadcadccdabadcdbccdbaabbbcdcababcacccabddca
+abcbadaddbabcddbabcccadddaacddccdcccbbcacbb
+adcbdbbbddcdcdbadacdcda
+ddacbadaabbadacbaaccabbdccdabdaa
+aadbadccbaacaccdcc
+ddddbbddcbdbabddccddbdccaccbaacaaccb
+bbbacbbddcdcbcdbddaaccccacdbbdcbbbdddadddcacdaabcccbddccdbdabbdccadabdcdabacbbadaccccabddbcbbddccbddaccaddbb
+ddcacaddbdaacbddbdaadddbdadabdbcaccdbabc
+cbcacbbccdcdbdbdadacabadcabaccdaabb
+adaccadacdcdcaacddacabbccdbabaca
+ddbbbbdadbccdcbcacadbaaccadadcacbccbccbddbbbcbcbbbbdcccc
+dbaacccddbadbaddcddacbdd
+ccabddddabcaadaacdbaccdaabcaddbcccbddaaddbadcbdadcccdabdacbacacdaddcdcdcbbbbdbcbcaaaccabadcd
+bbacdcdbdbabadbaabdcabbbbcd
+abcadbacaddbcdaccacbdaaacdbaabcddbdaaa
+cadbbdcabacbbadbdadacdd
+bddccbddaabbdcdcabcddcdcbac
+caadcaaaccccbdadadaccbbabaddaaabcdbaccdbdcbdbbadcacaa
+dabbbdbcaddbbcabaaddbabbdcaaaabadcddcdbccaccbcdb
+dacabdcdddbbddcbaabdbbbddddcbbccadadaddacbaabcabbdabddbbbcdbbcacadbdadcaacacbdca
+cacdabdacdcdbcbadcacaaadabd
+dbbccddaadbdbbccccadcacddbdddcaaccaddbbcbdbccbcbbcccaadabcadbcadccabddaccddabddbcadbcbbd
+dcdbccabcccbcdaccabbddbbddadbabcdbadccbbdabdcacbbb
+ddabdbbdabbcbbadacdbbcadadcdbccbbdabcdbcbccdacbcbaaccbcbdbbc
+dbabdcbddcaacdcabacddbdcccacdaabcbdabdadabdaccaacbbcdcbbacdbcdadddacca
+daaddcbdccbdbbccbddcaacddacdacddddbbbbcddccccbaabadbbddbacbcbbcdadddcdadaabbddcdc
+bddccdcbabcbbccadbcbcdbbbbaaabaccacaad
+bbbbcabccbcbdcabdbdcadcaddb
+bbbadbddadab
+bdbdcbacabbcdacdcdbdabcccbddbcbcddbabacdcbbadaacabcaddbdadaccacdaccdcdcccacbabbaabddcccbabdabbbadabcbabdaaddc
+dbaaddcbbcababadddaacccbadbbdcddcdbdadcaaddacbabbdccaddddcabadaddccacbdccbbbbddacdbddadcbaddbdccbbcdd
+ddcaabbccccbacabdabdaadaabbbabadbccdbccacdbabcbbbcadbaaadddbdacadbdacacdbccadcaccbd
+cccccbbabbbddadaaacddbaaccabaadbacdacddccdbabcdcbdcbdcabcbbccbdbcddaadabdababbaacdb
+bcabbbabbddcbdaaadcdcccddbaadbadcabcccadccdbdccbbddbabcaddababddca
+cbcbdcbbbbabacdccbcbbcadbdbdbdbbcadabbbdbcdcacdcdbaaabcddbbabdaddccdababadaacacbcddcd
+abbcdacdddaabddaadbdbcabcdbacadcaddabdc
+cbdddcbbbddbcdbabbdbccad
+dddddbdcdccbcbd
+adcccadcaabdadcdddcacbbbcbddadbcaddcdadcdaddddbb
+badaacbccbdacadcaccabacadcaaccdabbcdbbbacdbbccbcaabbcabcadcdbadbdcdaaacbdbcaaccbaacadabadcacdd
+ddbdbbdaddcbdbdacdddaacddadaadbcdaaacbcddabbcdcaccacbadbcdacdccacbbadbdddcdbccadbbdcbb
+cccccbbcaccbbcbdbaddcabcd
+addbaabbbb
+dabbdadbabbbabaaddccdcbbacbcbaccdabdcadacbcd
+bdbbddccadadbbdbabccbcaddcaabcbbc
+acaacabdbccabcbdbbaccbbcddbcaddcbbdbacadabdbaabbddbcabdbcbaaacdcccdbbaaaab
+dbddaccabcbddbcbddbbbcbbcaddbdcbacbdaddcdbdcaddacababbaddbdbaddbcbacdacaab
+bacbabddbaabbaccdddcadadabdadabcacdadcdbacacabccbabbddbccdbdbdcccadacaaaabdacabcabddabddabdccbdd
+bcbddbbbbccaacbacbcadcdbbcbbadddcbdabcaddccabcdaaadcacdcbcbdcbdacadcddacccbcdcccddbacdddabcdc
+baabdbbbbbbbdcab
+cadabddbcdcbbacdaacbadadcdcc
+cbccddacbcabacacabdbbbbabccaadadbcadcbadbcccbbccacbdcdccbdbabbaacdbaddadbccdadbbccabccbcbdcdacbbad
+dcdcbcbaddadbcbbccaddbbbadccdbdabdcdcdbbacaacbacbacbcbcadabdadadabdcbddcccbbbdaacbbbdabdadcbccddadbdd
+dbccdddbdbaabdcbcaaccdabdccdccbccbdcacdb
+dddcdaabcbbabbaacc
+dbcbaaddbccaacddbcbbcbcababaacdbdaacdacbacacdb
+bbbcccaabdb
+cccdcdbcdbbcbdcbdcabc
+cababcdddaa
+bcbbdbacbdadadbbdbdcaabbaaac
+dbbdbaccabdbdcbddcbdcdddcdabdacccacd
+bcbbbccbdbccbb
+bacaaadadcbbcddbbbdcaccabcbcdbdcdbdcddcabdcbcaabccbdbbabddacbadacdbaddcbdd
+bdbdaacdaccdbcddabccbdaddabacdbacdcbcdbdbddcaadadabbaabcadbdcababdcadaadabcbabadaba
+abdabaadbdadaacabbacdabaabdcccdaaaacbbabdcbccadabbbdcccbaacddcbcaacbbabacdadbabbacacdcbdadcbabbcadaabcdabcc
+bbcddbcddaddaccaaaadbbabcbbacccbacddcdccdaacdbccabc
+bbdabdadccbcc
+ddcbdaabbdadadbcadcbaca
+bbddbbcdbdddcbaabadcdbdaabdbdbbcbdadbabadbacdbcaccdadcddabbacbbccabdadcabddacaadaddcadbdabdcabddbd
+dccdabbadccacdadaabcbbdacbbddaccadcddbdacdabdcab
+abbccdabdcbbcdbcbdbabbdbccdabaddbacbacdaadacbcbbaddcbbdbddabdbddcdaabdabccabaaddcccabbcdbddcddcaddacbdcadabb
+baddcaadbdbbddcdcbbcbcaacacbbcccbbcccbcbbbabbbdccadcdddccbadccacabcdacacdcbbdabdbc
+adacabdbdabccccbdbbacddbdcacdcacbcdcddccbdccddcaacbddbacdadaccbc
+ccbacdbbcdcbcadbdbadbbacbcdabccdccccdbddacacbbbaabcdbdbdbbbbcbdbaaadcdabd
+acabdabcbcdcdacaabcdbccaadcdbcbdbcdcdbcbdccddbadcdbccbadbbcabbccbccdbaccacbbabbddadbaabdcaaaba
+babbbdabacddbbbbccdadbabcdcadbbdcbdbabbccbbdaaadcdaaccdbdbcacaaabdbbaadacaabcdaababdbdbadddcaaddbcbcdaacaabd
+bdbddddccbddcbdadbacadccccaabbacbbddcbdcabbdddbcccbd
+ccabadacdcabadcbdbbbcdcbacacddcaacccdbcdaccacbaadccacddaaabdabbbdbccbccadcabaabdbbddbcbddbdbddbbbddd
+ddbcdcbbccbcaccacccccbccdbaacdcaacadacddccaadaadbaaabcdabaaadddadd
+badccbadaacaadccbccbcdccbbbbcbdacdddcacaa
+dacbaadacbaacacaadcdabcdadcbdadbabcdadababcaddcdabacddbdbdbdd
+cdcdbaaaccdaaddcabacbbbadcdbdacbacbabacbccdcababaddccdbababdccdbbbcdc
+dbdaadccbcbdbacdcdbaaadbbccbdbaaabdcdadacdaccabccccbdcabaaaddadaaacddddabcbcbadaaddc
+aaadcacdbabcaccbaadccacdcbcbaccccaddccdca
+bdbdbbaaccdaccdabddcdcbdadaabcabdbaacabdbadabcddbacdcbbccdcac
+ccccbaddcbcbadcdccdcacaaadbdadbbbabadbddabadacbacbabcabbdbdcbbabbabaccbdccdcbdbaaaccbacabdad
+3 1
+bbbadbbaaddbaddaadcbcadbddddabaabdbdbcdcdcbcddacddadbdbdcbabddacaddbbbd
+aabdbaabaaadcabdacacdabdcbbcbdaaacaacdbdbbbbdbcaaaddcaddbbababadddbddbaaabcad
+bdcdaadadadcdcacddcbacabbdccdabcbbddbadcbccaabbdaadacb
+295 248
+caaaaccbbacc
+bcabbbaccaacbaacabccabcaacbabcacbbbbaacbccbbcbacbbbacbcbbcbcbacabbabccccbcbaabaaaabcbbabbabbabbbcabacbbcbcc
+cbabcaaacbacaacbaccaaaabacabcbaaaccbaaaaccccccbcbcabaccacabbacabbaccacbbbbccaaaabcbacccbaa
+aabbacacbccabbaaaccccaaabcccbccbcbaacbccccbcbbccccbcaacabcbbaacabcbbcabcca
+bcbbbcbcbcbbccbcbbbabcabcbbbacbbaaabacccacaccaccaaaaaacbcbabccabbcbbbcbcaccbacabcabababbacaaab
+abbbabaabbcaaaaaaccbccbbaacaacbcacaaacabcbabcccbc
+aabcaacbbcaccbbcabcabbaacbcacabbcbabaabccbaabcaacabbabbccabccbbcc
+cbccbabaabbaccaaaabbabbaabbcccbbbbcbbabcabcabbbcbcccbabaaacb
+acccaabcabbbbcbbabccabccabcabcbbbaccbcacbacccccabaaabbabccbcbcbcbbaaaaaabcccbabbbaabbcbbbbababcacaaabcbccc
+bbccbaccbcabaaabbaaccbacaaaacaaccbcbacaababcbcaaac
+cbbbcccbbbbabccbbcccaccbacbbbcbccaabccbcbbcabacbbc
+bcbcccbcbcbcabaabaabcacacbccbabaacacaaaaabcaacbabcaaac
+aaacbbccccacabbbabccbcbaabaacbcbaacbabaccabacbbbbbccbbbacabbbbcbaaaaabababacbabccbbcabbcaacabbababaccaaa
+cccabbbcacabaccbcbbbbccccbbccbacbbcbbccbabbabcbcbababcc
+bbacabacacccacacbacbaacabacccaabcacacbcacccbcabcbbbcbc
+aaaacaabbbbcabcccabcccabbabcccacbbccbbacbbcbbacacbccbbcbbaccbccbacccaacbbaaccbcbccb
+acabcaabccacccbcaabbbababcacabbccaabaaaaacbccaaaabcbbbabbaabcbacaabbcbbcabaabbcccabc
+ccccabcbbccacbcabccbbaaaca
+abccabcabbcbcabaaabaabaccaba
+aabaccbcccbacacacbabbbcbcbbbaac
+ccccabbcbbbaacbbcccacccaabacbaccbbbbbcccbaacccbcbbbb
+bcbabcbbbaccbbcbbbabbccccc
+bbacababaabbbcbcccaacaababccbcbcacac
+ccbbbbaccbccbcabacabbcca
+babccccbcbbbaababbcbaabcaacbacccaabcaacaaccaccbbbacbabccabbbababbacbacc
+ccbcbcbbaccabcccaacbbbbcabbbbbccbbcabacaaaaccbcbccca
+caaccaacbbacccbcbcbabbcaacacba
+cbcacbbabaacacabbbbacbcabbbcbcccccbbbbabcaaacacaaabcaccbccaabbccaaccbabbbcbaaabaaabcbbcacccbacaccbc
+ccaabaccbcbbbaaaccbaabbaabbcabccbabababbacbcbabccbbcabbaacccaacbabccbccaccababababacccabacab
+aaaabaacccbccbcacaacabcbcbbbc
+cbcbaababcacbcbacabbaabaccccbbabcccabaabaaaccccabbabbaaccbbbbcaacbbaca
+abccacabbbcbcbbabcacc
+caabccbbcbacabcabbbacbbcacabbbabbababcccbcabb
+abcacacacaaababacccaccccabbbacaaacbcaaababcbbacaccbbbc
+aabaabaacabccabbababbabccbcbbbbbbcaccccacaaacccaabacbccbcbcbabbacbcccca
+aabcbaaababcacabacccbaaabb
+ccbacccbacaabaccacbccbabbbbbbcbbbbaabacaaabbacccb
+ababcccbbbabccbbaacacacbcaacabccaccaccaaacaacabcbababccabcacbabcacacacbcccba
+ccacbbabbbcaccbabbccbcbaccbacbaccbcbcbbaabc
+cacaacbbbbccccccbcbccbabaaaaacccbcc
+ccaabbbccabcabccbaacccaccbccaaaccabcccccbcabaacccc
+baaccbbbaacbabcaacaaacaabbbbbccccbccabbcbacacccbbbcbabcac
+bbabcccaaabbaabbccaacacbacbbabbbacbccbbaacaabcabbccababaccbaabcbacacbcbabcbccabcaaacbacccac
+acccacbcaaacbababcbcbbabbbbb
+bbcbacccbbcbbbabcabbbba
+accababcbbbcabbabbccabacbacb
+abcbbcbacbcccacaaababbcbacbcacbcbcacacbabaacbbcbbbbbbababaaacbcbcabcb
+ccbbabcaabaacaacbaaacccabbcbbaaccbcbcba
+cacccbbbbbabcbcccaabbbccbbcbbbbabcabcbcbacccbccbcbabaabb
+ccccbbbccbbaabccabcbcbbccaaabcbabcaacbabbbbbcccbabababcaaacbbbcccaabbcbcbaaca
+aaaccbabbca
+bcbcabccabbbaabcaacaabacabaabacbbaabbacaaababcabaacabbabbaacccbbacccbaccaacaa
+bbcbcaacbcccabcbcbaabaaabbbbcabacaccabcbbaccaaabcaacaaacbabaacabccbabbaabacbabcca
+bcbbccbbabbacbaabcaccaa
+cbacacbaaaaabbbcababaccacaaabbccbbccaaabababacaccbacaabacca
+bbcacccccbcabcabbabbaccccaccaccaabbbcbbcaaaacbbca
+cbbacbbaabacacbacccacabbcbccccaaccbacaabbbbbcaccaacbcccbcaacbbacabbcacccbbaaccaccccaaacabaaacacc
+abacccccccccaaabacaccbccacbcaa
+bbbcbbbcccabacccbbaccccbaacbbacccccababbaabccbca
+acabacbbccbacccbbccbabcccbc
+acacccbacaabaacccabbbccabccbabbcaccbabaaacaabccbabaacccabcbbbbccaccabbcacabcaabaacbcbacccaacca
+bccccabbcbbacbacaa
+bacaaabbaaaccbccccccb
+cbcbbacabcacbcaaaaacbaabbcaabbacabccbccacbcbbbabbbcbbbcbbcbbcbbbbabbbbbaacbcacbbabbaaabcbcbcaca
+ccabccbcbcbccaabbaaabaaccabcbaacbbbbbaabbcabbbabbcbcacbcbcbccaabcbcbbccc
+babacacbaaccbacababcccabbbcbaabaaacaccaabccabbcbabaacccbbbacababcbacbcbbaa
+acbcabbbabcabbcbccacbabcabcacbbb
+bcabbbbcccaacbaaaabaacacabbcbacacbbabcbcccacbbcbbcbcacacccabacbaabaabcbbccccbbcacaaaaabbbbbbcbcbccbcaaaac
+abcbcbaaababcabaabcaccccbbbbaccbbbaccbbbabcaabacbbcbcaacbbbacacbcacaaccccccccacacbacaccc
+cbaccccccbcabbaacbbaccaaabcabbbaaaccaabbcaaa
+cbaaabbcacbaacacacbbcabbabcccbcabbaa
+cccbccbacbcbacca
+cabbabbbacacaacbaccaacc
+abbaabcaaaaaccaacacbbcaccabaabaccbaaccbabbacaabbcbccbccbbabcab
+bcbcccccbabbbccaacacbbbaccbcbbacccaababbccaccbccbbacbacaacbbcabbcacbbcaaccacbbabcaacbabacb
+aabbcbccccaba
+abbbabaaabbbcbacbabcaaaacbb
+aabbccabcccababbcbcc
+bacabbbabacaabcbcaabcbbccbaccbcbabccabacbcaaaabbcaabbcbccc
+bcccbaacabcccbbababccbccccbaabbbcca
+cbbaaabccaacccbbaab
+abaabccaaacbb
+bbcbcccabbcaabacccbccaabab
+cabaaaaabbacccabbacaacbcababbbacabbccbbabcaaabccccccbaacacbacbcbaaaaaabcbbbc
+baabbbbacccabbacabcbbaabbaaccbbbacabababcaaacaabbbbbccabaacabcbcabcabcbcabccbcccccbabbbccacccbabcbbcbbabb
+acccacaacabacaacacaaababacaabacbbacbacccabacbbbbcccccbbbacaacaaacaabbccbcbbccababccacbbacabccbba
+cababcbcabcabacaacbcbbbacbacbbbcacccaacaaacbcbbcbabbbbc
+babcabbbacacbaabcbacabcbbbaccacccbcbccbbacbccabbbccabbbccacb
+aabccbbaccabccccbaababccaabcccbbbbabbaaaccaabccacabcbaaacbcbbbcab
+abaaabacacabcccbbcbcaaa
+bccaacbcabbbcccbacababcacbcbccbcaababaabcaaaacccaccab
+cbacabccccabbcaccaaccbbbaaaabbacbbabacaabcbbbcbb
+cabbcacaabccaacbaaaaaaaababcbbacbbbbcbababcabccbcaacbabaabbababaaabcbcbbbbb
+ccbccbaabbbbcacaaaaccccabac
+aabcbbbbbbcbcabbabcacaccababcbcaccbcbccacabac
+cabcbbcbacbcaaaccbbcabbbaacabacccbcccbbacaaacaaaababaacaabacccbbcbcccbbaccaaaab
+bcaaaaabacbabbcccccabbacbcabacabcacaaa
+ccabcbabacccabcabcacacacbaccbabcca
+bbcababcbbcabbaccaabccbacbcacbaaaacbcbacccbabaaaabcbbbbaabbbaacacbbacbacbacbccacbbaabcaaabbbcccb
+acbbaababaaccccbca
+acaaccbbcabaaabcaccaaacbcacaababbbbbbcbccabbcaababccbacabaaabb
+aaacaaaacc
+cccbbbbcbbbaacbabbcaabababbcaaaaacaccba
+cccacccbbbcbcabccaaabacbcbabaaaca
+bacbaaccbcccacabccaabbaccbaacaabaabaccaaaaacccaabcbbacacacbcaabcbabaaccbbccbbb
+aaabbcbbabbcaaaaccbbcccaacabbbccbcaabbb
+aaabcbaacc
+bbabaaabacaabbcaabbbbcccbaaaacccbbcccbbacbcabbaacacccbaabbcbbbccbbaccaabccbccacbc
+abcbaccbbbacccbccbabbbacbacbccbcaaaccbabcaaaccacaccaccaaacccbccbcaaacbcabaccacacbcaacacabbb
+caccbbbcaababcaaabbccbbbbcaccabcacbbabbaabbbaaaabacabb
+aacbbbbbbccacbababbbcbbbbccacbbbabcbbbcabacbbaaacccaaccbbbaccacaacbaabcba
+abaccabbccaababa
+acacbcbcbcbcbacccbccbbaacbbaaabcaabccaccaaacbbacccbaa
+baabcbcbcbbabaccccbcbaabbabababbcbcbbabccbbbcaacabaaccbcccababcbcbbbcacaaaacaaccabbac
+cbbbcbbbcccbacaacbbccacbcacbaacbbccbbacaccabaabccbaccbbbabcbbcaaaabcbbccbbacccccaabaccaaccbccaccbcacbabacacca
+baccabcbbcbbbbcbbbabbcaabbababcabacababccccbacaa
+abbacaaaccab
+baaaacccacbccbcccaabcbabccbcbaaabcbcabaaacccbbaabccbbabaacbabaabcbabaabcbbb
+aaacbbcaccbaabaaccccacccbbabaa
+abacabbabacacbbcbbbcacbbaaaaacaaaabbabacabcaccbcccba
+bcaabbcabaccbbaacaaaabcbbacbccaacccabcccabcacabacbcaacabbcaccbcbcccaaabacbbbbaaabcaaabbcabbcaacca
+bacabaababaccccbbababcabacacccaccbcaaccbaabacacbbbcaacabcbcbaacbccababbbacbaaccbaacbabcaccaaababccca
+aaccbbbcbccabcacbbacaa
+acbaccabacababccbbccbaabacbcacaaaaabbabbcacbbcaacacbaaaabbbbabaaabbbaabccbbbbccacbcbabcbaaaacbccbcbcc
+caccccbcabacababaabbbcacccbabcccbbaacabaaaabbaccbcccababaccacacbaabcaabbabccaccaccabc
+caacaabbbbaaccbcabaaaaabbacaccbbaababacccbc
+bcbbbabccabbabcccaabbbacacccabccca
+bcabbaccccbbabcbbcbccababccbbabbbaccbbcbbababbaabaaacaccccbacaaaaabcaacbbabcbcbbcbccccacaabaacacacababbbcbc
+ccbaacaacacabcbbaccaaaabbcbabccabccbaacaaababccaaaacacbcbabbbbbcccbbbbccbccaabababaaccbbcbbcaaccccbccccbc
+aabcbbcaacbbcbcbcccacabbaabaaabaccaaaaaabacbbabbacaaabaca
+bbbbaaacbababcacaabbacbb
+bbaaababcaccbaaababaacbbcabcbcaa
+aacbccacbbbbacbaacaabcbbccabbaccacbcaabcabaaccbc
+bcbbcbabbbbabcbbbabbbbacbbbbbbcaccabbbaccbbbccaaccabcaccabccbaaccbaccbacaccaccbaacbac
+ccaacbcbaabcabbbbccbaccbcccaacbcbacabbaabacccacbbabcbaaaaabbccacbbaacbcacacbccbbcabaabaabbaabbcbca
+ccbbbcaccbbbcccacbccabcbacccacabcabacccaabbbccccaaacbbbabbaccabcabccbcabaacbbaac
+bacbcaaabaaaaaababcababababaaccccabaabbaabaabaabaaccbaccaabaacbabbabbbcccba
+bcaccbaccabbababcbbacccacacbaa
+cbcccacaabbccaacabaccbcccaccbcbbccccbcabcaccabaac
+bcbbbccaacabcbbcccaacacbcbbcaccacbbbcbcaabbacbacabababbcbcbbccbbbabaaaaacbaaababbcbcabccbbcbbccaaba
+acbabacbbacbbbcabcbbbabb
+aabbcbccbbbbacbcbcabcbcacccbbbaabcabaaaaacbc
+babaccacbbccababccacacabcabcbaabaab
+cccacaacaacaacabcbbcbccacbcbaabccbaaccccbcabacbaacbcaacccccabbaacaabaabc
+acaabacccbcacaabcabababbbbccbaccbbbabacabccbcccaccbaaabcbaaacaccccaaabcaaacbbcbcbaabccabbbbcbabbcb
+cbaababababcaaabaacaccbcabbcccbbaaabbcc
+ccbbccbbccbcbbbcabaacccaaaccbcacca
+ababcccbaccbcacbbcaccbababaaabaabbaccbaa
+abacacaacbcb
+cbcccacaaaaaabccbbaaacbcacbcbbcacccac
+bbcbaacabcbbcccbbbb
+baccacbbbaabbbcabbaaabbabbabbbcabbacbcbcccbabababbbacbabacacabbbabbbbcbcababaccabbaaabccaca
+bbaacbcacbcccbbcc
+caaabbbaacaabababaccccbbcaaaabbcacbabcacbcabacacbccccbb
+abbbbbaabacabbbbabaac
+aacaaaacbbbccaaccacbaaa
+acccabcabbbccabcbbb
+abaaacbcbccaabbccabaccaacabacaabbabcbcbbccc
+aaccabcabacaacbaacab
+cabbcabaabbcccbcabccaacccabcacaacbabcabacbabcbbcccbbacbaacabaabbbacabbcccabcccacccbababccab
+bbacaacacbbaacaaabcaccbabbbbbaccccaacabccb
+bbbabaabaccabccbaabaabbcaabbabcbcaacbcabcbaabaacbbcacbaabaaaabcacaac
+bcbacbaabcbccbbcaaababbabbbacabaaabaaabaabaaabaaaabcaaaabbbccaccbccaabcbbccbaacbbbcaa
+acbcbcacbcacccbbbbcbaabacacabaabbcaabcaacbcbaabbacbbbaacb
+ccbacacccacaaaaccbacbcabcbbaacaacbb
+ababccacbccaacabbbbbbbccaabcbcbbabaaaacabc
+bbbbcbbcaccacbbabcbcbbcbbaabc
+bccbbbcbccbbacabacaccbcabbaaa
+abbccbaaabcbabbaababccccccaccccbaacacbbbcbbaaacbbacaccbabbacababbcabacbcbabacabaabcccbbbaacccabbbbabcbbabca
+abbcacaaabccabaaabcabbaabac
+cabbcaaabbbcacaaaacacaababbbacbbcbaccaabccbbcababbbacbaabcabbabccaacaca
+bcccbabcbccbabbacacbbcabacccabbbbbcbcbacbabbabcbbcbcbbaacabbcbabbaaccaaabbbacabaacaaccccbcb
+abccabccabcaacbcbbcccbaccabbaababcaabbbaaccabbccacbcc
+acbcacbabacbcacaacbbbaacaacabbcaabaab
+cbcbbbbaabacacbbbaccbcaabbabcbaacca
+acccabbbacaccabacbcbaaabbacbacbcbbacaaabacacacbaabcc
+bbbbbcaaabbbcbacbccbbaaabaccbaaabbbcbcabbcaacbcacbbbcccabccbaacc
+babbbbccbcccaacacccaabccccbcbabbcaca
+bbabacaaaabaccbab
+bcbaaaacacbabcbaabbbcabccabaaabaccbababaacbccbcaabacbbbacaabbccbcbcccbcbccbcbcbcacbbbaaccccbbbcacabbaa
+bccacbcaaaaabaaaabaa
+caacbcaacbccacabbabccacacaacbaacabbccaabaabbaaccabababccccbabcbcaccabbabbccc
+cbcbababaccbbcbcacabbcccbcaccbbbccaabbcbcabcbcaaacbcbabaabaaccabbbacca
+bcbcbccbcbccaccbbbbbbcbbccaaabacaacaccacabbbbabcbcbaaabcbbbbaacccbbcacb
+cacacabcbaccccbbcabababcccccbcbcaabababccabbabaccbaccaaacbaacaababbabbcbbcbbccaccaaabbabbbcbcabccababbbacb
+abcaaacbcbcbcbcacbbcacbccaabbabccbbcccbcbbbcaacabcbccacbbabacabcacccacc
+aaccbcaacbbcaacbbcbbacbccaabbcbbbbcbcccaaccabbbbbbcb
+aacbcaaaaabaaaaababacbaabaacccbcccbcaa
+babababbcbcbbbbccbcbbcbbcccbaaccaabbbbcabcacaccbacacaaaaacbcbababacbcacbaa
+ccaacaacaaaccabbaacbbcaabbcacccbbacaaabacabcacbbaccc
+aabcbaaabbaaabbcaabaccacbaaaabccabacccbaabccababcabbcabcacaaaccbaacbbababba
+bbcbaaabacba
+abcaaaacacccbaccbcabbbacbccaacaaabcbcbbbbaacababaaccbbccccc
+cbcbbcaabbcbaaabaaacbcaaaaaaaaaccaaaaabcccabcaabbbcabbaccbbaacccabbcacbac
+accaaacbbbcbacbcbcbcbbaaaaac
+cccbcbcaccbccbcbbb
+accbacccaaaccabababaaabbcaabacbbaacbbaabaaccbbcca
+cccccabcaaaabbabacbcaccbabcbabababacbaacbbabbbabcbc
+accbcbcabcaaaccccabaabbaaacac
+ccbcaccbcbabbcccbcbabaacaccacaaabbacbacaaababbacabacacacbaabbcbaaaabbccbaaaaabbbccababaccbcbcccbbcc
+bbcbbbccaaabcbbbaabcccccaacbabbcabaaccbaabcacabcaaa
+babbababacccccbbccbabcccaacbccacabacaabaabbcaaccabcaacacbbbcbcbc
+bcabbcbcccccbcaccbcacabbabccacbaababcbcbbbbacbcabbbcccccabbaaaccb
+bbaaabbcacbbcacbcbcbcab
+aaabaabbaaaccacccacaacaaaabbbbcabcccbbbcbabbcaabaaabbbcbccbaaccaaaababbcacabbaccbbbcbbbcaabbcabbccccabccbbbba
+bccabbaabcbcabbabba
+aabbbcbcaaaccbaccbc
+cbabacccbccbacccc
+cbbbbabbccabccbbbccabcabaacaccbabcabccaaacaabcaacaabbaababbcccacbcabbcccbaaaabbacccbabaacccacccaaaabcabbbac
+cabacabcccbbccabacabccccccaaaccabaababbcaabcaacabcacaacccbaacaaaaa
+cabababbabbbbcccabccbaaccbccbbbaccbcabbccccacbbccbaabcbcaaab
+bcccacaccabcbccbcbccbcbcc
+ccccaababccacbabbbacaccccccbbbbcbbbcccccccabbca
+bcaacbbbacaaabababbbbbcacbbcbcbababcbaccaabcbaabaca
+bacbaacbbcbaa
+bccbbcabcabbbcaabccbcbbaaa
+ccaabbabcbaccaaacaccacaabacababccbbabccbab
+baaaaabbbbaaccacaccabcbbcccabacbbabcbacccbbacbcbabab
+aacbbabccaccacabaaaaabcbabcaabbacbaacbabacccabcccbcccbaabb
+aabbacbababacbabccbbbcbbccbbbaabaabbccacaaabbcbbbacbbcbaabaabbcbbabcaabbccaaacabbaacaaccbbbbbccccaababaabb
+babaacacbaaaacbbccbccbabbbbbabcbcabbbcaab
+ababcbcccbcbaabcbaaabbcaacabcacbbcaabacbccccabbbacabccabbbaaaaacccbb
+cccacbbaccaca
+accabcababcbccaabbacbcbbaacb
+acaabcccababbabbbaccbccababcccbbbacccaabcbba
+cccabbcaabcaabcabbaabacaaccacc
+abcaccccaaaabaabacbbcbbabbaaabbbaacabcbbcbbcbbcbcaabcbcaccababacaaacbcabcccbcaaabcccbaaacbcabcaab
+babcbcbccaba
+aaccaabbbcacbacbaabcbccbbcbaabbcb
+acabaacbccbbabbaabcaabbcabccabcaaaa
+bccccacbaabbcccbcccbbababcabaaabaaabbbbcbcbbbaaaaacbccabbbbcbbbbabcbbaacccbbcbcaac
+babcbcacacccbabbcbccacbbbabcacbcbbaccccaabacabbbcaaabacbbac
+bccaccbbbbbbacbccbbbbabcbcccbbacbbacaacccccccbabaacbbacbccabcaaaccbcacccbcabbc
+accccccacaccbbbbbaaccbabcbbaabbbcacbcbbacbcaacacacccaacccbccbabacbcccaabcbbacacbbcaabcbcacccbbaca
+bbcbabcabbccaabbbbcabbbaccacabcccbcabcccabbcccccacabbbaacbacabccacaaabccaaabaacbcabbcbcccaabbabcc
+abbaabbaacbcbbaaabccaaacbaabbabacabbaababcaaabaaababaacabbccacb
+ccaabccbbabccaaaabcacaabccacbbabaaacccacaaccbabcbccbbaacbcacccbacbcbbaaccbbbac
+bacaaaaacabbaaaabbabccaabaaaaccba
+bcbbccbbcbcccbbaabaccacbbaacbccabaaabcabcaabbbaaaaaccacbaaccbabacacbbcaacaccbccccaccabcaca
+abccbabcabcccbcaacbccaaaacacbaacacababbbcacbbacaaabaccccbbcbabaccacaabcabbbccccbbaca
+cbabcacccccbbabaccaaacacbaccbbcabbccbabbcccbabbabccbbccabbbbbbabaccbcbbcaabbabcacbbbaaacabbbaccccca
+bcabcbbbccbbacccaaacbabcccbcbbacabcbbbcbbbcbccbccccbaccbbcbacb
+ccaaccaaccbaacbbcbccbacbaacbccaacbabcccbcc
+acaabbabccbabbacbccaabbaabababaacaaccbacbaccacbabccb
+bccbcbbabbbccbcbccaabbaaaaaccaccaccaccccaaabacabbcbabbcbacbccccbbbacbbccababbccaaaccb
+caacbccaacbbcbbcbacababcacbbabab
+bcaacaccaabcabbcbcbbbacacccbacacaaaabcbbbb
+aaccaabccbbcbbcacbaccbccabcbccbacbaacccbaaaaabcbbaacbbbacbbacaccbbb
+abaacacccabacbbacaccaccaabccacabbbb
+caccbcbcbaaaabacbbcbaccbccccbcbbccccbabcaccb
+bcabcbcacacbbaabbaccacccbbaaccaababbaabaaacbbaaccbbbacbbacbcbaababbabcbcccbbaccb
+aacabacbacabcaaacacbacccc
+babbbbbbccaacabbacbacbcacabccccaabcbacaaacacabacacacabccccccbbccccaacccacbaccacacabccbbbacacbbbbacccacc
+cbbbaabccccaccccbacbccabcabbcacbcaabaaacb
+bcccacbccaccacbbbcbabaabcaabababcabccaaacbabcacaaabcaaabbacb
+cbaabaccbbcaabbbbacbaabbcccacacaccbaacb
+caacbabccacbaabbcaacaabbbcccbaabccabbcaabaaabbbacccaccbcabcccacbcacaabbbabcacbcabcbacbabaacaaacccababcabaaab
+ccbaccacbbabcbacacbbcbbaaabacbccbaccabacabbaaccbaabcaabbababccaabaacbcc
+bcccbaccacababaacbcbbacaacaacacac
+cababcabbcaccbbabaaababccaaabcbcbcccaaabbabaacccbbbbabbccbbcbcbbabcacbcabcacabacbaccbb
+aabcaacabbaccccaabbacbccbacabaaabbcbbbcababbcbcaaaaaccacccbcbcbcbaab
+cabacaabccaaacabbbcbacb
+bbbbbbaaabbabacbcaacbcbaaaaaabccaabbccaaacaaaa
+bccbccababbbbbbacca
+bbabbcaaaaacbaabbcbbcbbcabaacbbacacabbacaacabcabccbcacabaccbabcbabbbbacbccccacacabaabccabcaabcbacaccbcbba
+bbcccbaccbbcabacaaaabccacabbabcabbbbaacacabbcbabccbaaaacacbbacbabb
+aaaccccacaacabaccaacbaacaacaacacccbaccacaaaaccccccbbabbabbcbabaccbbbccabaaccccbbbabaaaabbab
+abababacaacaaabcbbaccbcccccbbbcbaacabcaabbaababcbcaaabaaabbcbcccac
+abaabacbccbbaaabbcccaccabcaaaacacbccbccabaabbbabbbbacca
+ccbacaabacabcaacbbccccacbbcccccbbabaabb
+babbcccbcacccccabaabbccabcaacbcbccbbbbbcbbbccabccccaabcbcbaccaccccbbacaa
+acacaabbcbacbbbbcaaabbacacbcccacbacabbaccacaaaaacabccbccbbabacbbbaac
+bbbabacccccaacccabcbaaabccaaababccbcabaabccaacccbcbbcabbcabaabcbbabacab
+bacacaacccacbac
+bbbbacccacbbaabbabbaabaabaacabbcabaabbbbbacccabaaacaaacaacccaaabaaaabacaabaabca
+acbcbbcccbabccabcbcccacababbcccccbcbcccbbcaabaacacbbaacabbbbcbaaccbccbaaaaccaccabbaabbabbbabcaacabacbbbbb
+aaacccbccaccabbbcbacaaaacbcaaaacbbaacacaabacbcbbcbcacacbbabaaabaacacbccbaaabbacbcaabccaaababaaacb
+abacabcacbbaacaccbacccbaccbccaaacbabccbbbaccaaccacbaacbcacbcabcbbabbbbabcabccacbcabacbaac
+cbbacababccccaabacabcabaaacaacbacbab
+ccabbabcccccabbcbcababcccbcbccacbccacbacccccabbabbccbcbabcccbcabcabcccbccacaa
+abccaaaababbcccaaacbccacbbaacaaacccabbabcacbcaccbcbccbbcacabccbacacaaaacbbacbcccccccabc
+bbacbaccbaaacaaaaccccbaccaaccb
+bcccccbcbababacaccccbbaabc
+abbcbbcbaabcbbcbbacacbabbccacbbabcacccb
+cbbbbcabcaccbcaacbbbacabcabaababaaacbcbcabbaabbbaacabcbbcabccaaa
+abbcaaacbabababacaacbbccaaaaccabcbcaacbbabbccbcbaccbbcacabcbaccabaaacbacaccbbcabbcbbccaacaccccb
+abbbcbabaabcabcbcacccacbcbaabcbbcacccaaccbbcbbcccbcbabbabbcccc
+cbccbabbbaca
+ccbaccccaccbbbbcaacaabaaaccacbcaabcababbba
+abcaaccccaabbbaccccaabbbbcbacaaaaaabaaacaaaaa
+baabaaaabcacabcccccaaacccbccacaaacbbbbccbcabcaababacabbaabbbbcccba
+bbbccaabbbcccacaacaaabcabccbbacbbcbccaabccbcaaabaabbbaccbacaaabbabbbbbaaccbcac
+aabbcccccbbccbcbbaaacbbaabacaacccbaacccbaacbccaaababbaabcabbabbcbcccbccb
+ccacbbaabcbabcbbbcbcaababbabccbaabbbbbc
+ccaaccabbcacbbccbbaccaaaccabbaabbbbabcbbbacbcbcbcbabbbbbaaacacbbbcccccacacbcbababcaacabacbbbcbccb
+191 100
+bbbacacccbcaabccaccbcbbbbaccccabbccbcacbccccaabaaaba
+cbaaaccccbbaaabcacbcaababbacacaacacabbacbccccbbcbbbbaabaaab
+acbbcaccaacbaacbcbbabcbabbcbcabcbbaaabbbaabc
+acacbabcaaabbbccbaabbcbcbaaaacbbbaabbbaccbbabcbaabacbcbaaabaaccaababaaccaabcccb
+bcacabbccabbabcbbcacaaccbbacbccaccbbbaabbbbbcaaaccbcbcccccabcbcbbbaaabbbabbbcaaccbcbcababbacb
+bbacaccaaccabcbbaababcccacaaccbcaabbccabcbbcaacaaaccab
+bbbacabccccbaccaabccbbaa
+bbcabacbaacbabaccabcabaacacaacccac
+ccbaaccccbbccccbccacbbabbacabcbbbcaacaccaabccabcbabcacbaaaaaacaaccaaaabaccacaabacccbacaacabbabacbccaa
+cccbbbababcaaacabcabaccabccabcaccacabccbbcca
+ababccababaccabcabacabacaaaacaababacbaa
+abacaaabbabbbbcababcbac
+bbbbaaacbcccccabacacbaabbababbcabbcacaaabccbbaccaaacacabaabccbccbbacbbbbacbbbabcbaabaaaaabccacaacbcacca
+aaaaccbbaaabcbbcbbacccbacbbbbbabbaaccbbaabaacbbaaacaccabcabbaacacccabbacabcbbaaabbbbacbccccccbbbaabaa
+cbbacaabbaacaccbcbababacabbcabbaaccbbaccbaaccababbacabababaacbaaaccccb
+bcbabbbcbaaaccacccbaccabcacccacccabbbbba
+baaaaabaccacaabbbabaaabcbbbaaaacbacbacbaacabbbbab
+cbcababccacbaabccbaccbacaabbabcaaabccbaaababbbbbaacaaccccbbcaccbabbabcaccbabccccbcababbaaccaaabacbbc
+caabaccaacb
+abccaaabcbbcbbaaabcaacbcbabcabbbcbcabcccaaabcabaabaaaccbbbbabcabbccacbcbabcbcbaccbaaababcaaab
+cccbcacccbb
+aacababbcabcacaabacacaaabcaaaaabcbbcbcabcccabcccc
+caacacbcbbbaaabbaccacbabcacaabccbabbbabaaabbab
+cccaacccabababbabaccacbcbaacbacbbbaabbbccbbbcbaacbacaabcbaaabccbbbcccaacbababbcacbacccbacb
+bccbaccbabcbcbabcacabacaaabbcaaccbbbacabaabacaacababbbcbcbbabbbcaaacbbabcac
+bcbcabbcbcabacbbaababbcabbcbccaaababbcaacbbbbababa
+aabbcabcaacacbbccabbbbaacaabcbbaabcbabccaa
+cbbcbbcbcaabababbbcacaabcabbcacabbcbabccb
+cbcaaabcaaaabcbaaaaaaacabcbabacaccccb
+caccabbbcccbbccbcbbbbaccbaabbccccabaacacaaccacccccbacccbcccababbabaabcabbabbaaccb
+acabcbabbbbbbcacccabcbbacbaaabaccbbcbacbabbcbcccaaacbcabbcabcccaacaccacaabacacacacaacbaaabcabcbcababa
+baababbacbaabcbbacaaccaacbcbbccbaaacaccabcc
+acacbabbacbbacccccabcbbbbbcacbcccbcbcabacaccbccacbcbbccbcabaaabaaabcaaaaaaacbbbbbbbabbccbbbabaacbcbcbacacc
+abcaacbcbccccaaacaabacaabcccccccbaaaaaccabbabacbbcaaaaabbaaccccababaabacaaacbcaacbbaccabc
+cbbbbbbbabcbbabbacacaabbcabcabcacacacbbbabcbbaabcaabbccabacccbcaacabccbcccbbabacbcaba
+cbccacbabacaacaabcbabaaccccaaacaaabcaabcbcccbbbaccabccacccbbcaacbbaaccbbabbbaccbbcbcb
+ccabbabaccbcababcacccaaccccbaccbcacaaacacbaabaabcbbacaaaabbcbbbbccababbaccaabbaccccbaa
+bbcccacccbcacbacaacbbaaabcaacabbcaccaabbccabaacaabbacbbcbb
+bacaccccbbaacaaaaaaabaabbcbacbca
+ccbbcbbbbabbabcbbbabccabbaaccabcabbcccbbbcbcbacccbabaabaaacbbcabcbabbaaacbcbccacaabacc
+abcaacbccacbabbacabcabacbaaacbbaaac
+baccabcccbabbbabaabbcbabcbcababcbaccababbcccbaccabac
+caccccbbbbcabbbcaababbacbcbbabbacabbcacabcbbbabaabbccabbccacbacaabaccacabcccbbbbabaacbcaaaaacaca
+babccbbacbaaccaabbaacbaca
+cabbaacaaacbbaabbaccccbbbacbbabbcaaaaacbbbbaccbcbcbccaaacaacbaccabbbabacaaaaabacbc
+baccbaaabbbcaccbbaccccaabbaacacbaacbccccaabcb
+aabcccbccbaacbacccabcbbbbcbcbbcabcbacccaccbabaabbcabbbbbaaaabacbaccbabcabcbabbcabbcccccbbbabaaccabaaacbabcb
+acccaaabacbaabacbaccbbaccbbccabbbcbbcccabcabcbabacababbabcaabbaaaaaaccbcaacccacabcabc
+ccccacbaaacbabcabbaaacabababccbccbabacccacbbbcabcbcbcbccbccbbbc
+bbcabcacccbabcabbacabcaaccbcbbbbcaaabaca
+abccbaababbcccbbcbabbcbbbbccaacababbcacbbcccbbccbaccbaaabaaaccabccc
+acccbcbbabbcbcabababaccbbbbcaababccbccacccbbbacbaababbacbccbbb
+aacccaacbbaabbbbcbcaabcaaaaaaaacaabcbccbbaabbaabaabbcbbababbcaccbbababaccbacbbaaaaaaccbcab
+babaacabbabccacaacacbabbbaccaaabcbbbcbcccacaacbbacc
+abcbaabaababaaabcacabbbacaaaabcaaacbbaabaccabbbaccc
+aaabcbcaaacaabaccbccbcabccaabacbabcaaccccccabaaabcaaaacbbcabcaabbcacaacaaabaababacaccabbcbaccbcbaabcc
+aacabaacacacaccbcbaccabcbacbaabbccabcaccaccabaaccbbccb
+caacaaacababbaababcaabcacaabacabbabbbabaaccbbccbbbcaacaacbcaccbcaaaca
+cbccaaacbbaababab
+bccccbcbaaaaccbbbbcaccacc
+babbcbacbbbbacbacbabaaaccaabbabbcaacbccbcccbbaaababcaacccabcacaa
+cccbbbbabaabcbcbcbccbabcacbabbaacbacbcbabccbaaaaccabaabcabccbcacbbcacbbbbbaaabbbabaaccacaababacbbcbabbacabcab
+cccacbcabcbaacaacccaabbbcaccabcbccabacbcccbbcbbbabccbbbbcababbaabcbbbaabbaacbaccacababbabcaabbb
+aabbccabcabacbaacbcabbbaabbcccacabcbbbcabbbbbbaacacacccbcbcacbaabccccacbacacabbcababaaabcba
+acbaccbcbccccccacaacabcaabccabbaacaacbaabcaccbbcccaacbccbaaccaabbba
+bbbccbbbbacbbaacbacaababaaaaccacaacbcbaaaacccbbaaaaba
+cccaaaacaaacabccabbbbcaacbbcccbcccaaabbbcabcacccaaabaacbacacbbbacbbcbababbbaacccababaabbccbabcbbaacbbbabcbaa
+bbbbbabacbccbababbcbabbcbaaabcabccbbaacabbabacaabacccccacabbacbcbbbcccbabcccbcacccbbbaca
+abbcbbccbbcbbbcaaaabbbabbcacccc
+bccabbabcbccbaaaabbbabbbccbbbccbaacaabbabcccaccacbcbabcbbbbbcaabacac
+ababbaaaacabbcacbbbbaacbccacabcaacaabaabbabcaabaabccbcbbcbcbcaccaacbacabcacaccabbabcaaabbaccacaabbabbbbabbb
+cbccaaccccabbcccccbbabbb
+acbbcaaacbacbbcacbaabbbaabccbcacaaacaccbcbcbbcbbccbcc
+bcacaaaacaccaaccbaabbbbbbbcabbcabb
+cacabbcaabcb
+bbacbaacacaabaccbccaaabbaacbcbaccbbbbbaaabcbbaacaaacabbbaaaa
+cbcacababb
+bababbaabcacccabbaccaabaacabcacabcbcbbcccabbabaaabbcbcaabcbbbcccacaabcaaccabcc
+aabaccabcbcbcbaabbcbbaabccbacbbcaccacbccccaabbacbbacbaacbbabcbccbbbacaaaababbcbaabcbcbbcacbababacbbaaacccac
+bcbcbbbcacbaacbbaaaaa
+aaacacacbaabcbbcacbaabcbababbcbcbcaababacacaabaabbaacbcbbaabbabbcbbbccaccbabbba
+baacbcaaaaccccbccbbbbcbcbbabbbbaaababbbbcaabaccbacbababacbcaabbbccbbaabaaabcacccacbbaacabaccbabab
+bbbaacbbccbcbaabbaababcccaacbbbbcbbacb
+cbcbaccbccaacbabcbcabbabaabcaaabbbcbacccbcbbbbacaacbbaac
+cbcbbabbbbbcccabcbcaacaaabbaacbbaccccca
+acaccaccbbcababababbbbccbabbcacaaabacaaabcabcacaacccbbc
+acbbbbbcbbbcccbcbacabaacbbc
+acaaaccbcaabaaabbcbbbacbbcccaacbaccb
+acabaaccabcabaccbbacbcccbcbaabcaaca
+accbacbbacaaaaacabbbbbbcccabaacbbbaccbcbccabbccabbbbbacbccbbbbcacabbcacbccacacabbaba
+cbbbbabbccbcbbaaaabbaabbacabcbbcabacbabcbbbcaabbccbaaaacbaaccb
+bbbcbcacbaaacab
+ababbacbacbbbcabcabcbbabbcbcaaacbcacaaabbbbcacabcccbacabcbcaaaaaaababca
+cabcabbabcabbbabbacbacbcbccbbaaabbccbbacbaba
+cbcbabbbbbabaacaaacacccbaacbacabbcaabcbcbccbabbbabacacbcaccacacccaaaaa
+cccabcaabaabcaaababccbaaabccccaabbbcabccbababaaccbcbbbabccabccabcccacbacacbbbbbacccabaccbbaaaa
+cccccccbcabac
+bbaaaaccbbaaaabcbbacaccaaccacbabbabcbacbcccacbbcacabcc
+ccaabcccaaaaaacbcbaabbbaaaacaaacababbcbabacbcbabbaccbabccacbacbcccbbbcccbabbcbbccbb
+cbbacaccbcabcbbbaaaccababbcabbccccccabbcccacaaababaaacbacacabccbacbaa
+cabcbababbacbaccbbaabaaaacacbccbbcaccbac
+baabcbabaaacaacccacbccacabacbbbbbccaaacbaabccaacaacab
+acbcaaacccbbcbbccbcabccacbacaabbbbaacabcaabccabbbaccbcbbbbcaacbcbbaabcccbacbc
+abcbbacbbbbbbcbcaaccaabcaccacaccabbabbbbabbbcbabcbabbbcbabcccccacbcbcbcaccac
+cbcabccbbaaaccacbcbbcaccbabbcabacbccccbcbacaccbcaacbaabaabcabb
+cccaacaabcbbcabcbbacccacaabcaabcabbbacbccccabbaabaccc
+baccacbbacaccc
+abccbbbccbcbbcaccbcbb
+ccbabbbbbbbacccaabbcbcbbcbbabcaaccbccaaacccbbabcbbabacbaabaabbaccbbbcbbaaaabcacaabbabaaacccacbbcbcccababcbbac
+acbcccabcbabaaaaccbaabccbaacbbcabcabbcbccbcaacbccccacaaccbacbccccaaabbacacaaaccaaabccc
+cacbccbbaccbaacc
+cbcacbbcacbbabbcccbbabbcbaaabcbcccacbccabbccbabca
+acacabbbcbababaccccabcbbcbccbcbcbabccabc
+bcbaabbbacbcacabcccbbbacbcbccbacacbaccbaaacba
+abbabbcbbccbbcacbb
+bccabaabaaccaabacbaacbbcaccacbccacbaabbcbbaacbacbacbcaacccabcbacbabcaaaacbcaabcaacabcacbaaccbcbba
+abcaccbabcbbabbcbaccbbbccbacaaabcabcbcbaccbbacaabbbaabbabbabacaacbbabcccbabaababcabcaaaccabc
+bbabccbbcbbaaabbccaaccbcacaccabccbccbababbaaaacccababcbcabcccbabaaacbcbcbbcbabccaccbccbbaaacaabcaacba
+abbbbbaaaacbccaaccabcbaaaaaccacbacabacccabbaaaacbabaabbcbbccbaaaaacabbcacccbaabbabababcacc
+accbaccababbbcaabcaccbbabaababccbcaaccaaabbc
+caaabbbccbccccbcabbbbbbacbbbbcbacbaabcaccaccccbacaabcbabccababcbaccbcbaaaccaabcccabacbbab
+aaabccacabaacbaacaabcacbabcabcccbaabcbbbaccbacaccaaacbabccaabbbccabbcbcbcbaaabacabcbccabacac
+bcbbbccbacb
+bbbabbacbcccbcaababaaccbcabbaccabacacacaccbcabacbcbbaccbcccabbcacccbbcbaacbbabbaccacb
+ccaacccabcacacacaccbbbabbbcbbbabccbacabcbabcacaaaccbaccbccabcbcaabcccacbaabaacbbcc
+cacaccbbca
+bbcccbabcaabaabacc
+ababbcbaabbbbbccacacbbabaca
+aaaccaccccbcbbbacbabaabaacccbaaacbcccbabcbabbbb
+cacbcbaaacabcbacbbcbabcaacbcacbaaaaabca
+cbcbcacaacbabcccacbaa
+babccbaaaaccbccbcababacbbababcaacbcbabbbcaacbab
+ccababccacaccbccabbcbaaacababcccabaccbcacbbcbcaacaaaaccacbaaacbccbcbcbcbbcbcbcababaabacaaab
+aabbacabaabacccbaacacccaccabbbaaccbccbbcbcbcbbcacabbbbcbabaab
+baccaacbaccabbababccabbbcaccabbbbbcbaaaacccacbccabbcbbcaaaaaababbcacaacbaacc
+aaabbaaacaabcaabcababbabcaabbcc
+aabbbccbccbabbcccacaacaabccbcccacabcacccbcabbaacbacbabacababacbcbbbbcaaabccbcccbbcbcbbccacacbcbaabcbcaacaa
+bcbbccaaabbabcacbccbbabcaaaabccbaccacbbbabacbcbccccbacbbccbcabacab
+aacbabcbbcaccaaac
+acabacbcbbbabbccbacacbcbaccbabbbcaabaacbabbcabcacaaabbababbccccaacbbbaacbaa
+acaabcbcbbbcaaccaacbbaabaaccbaabbbaaabbccacabacacacbabbaabaacaababcaccababbcabccbaaaaccbbccaaabcbaaac
+abcacaaccccbbcccaabbbbcbaacbcb
+abbcabbbbbbcbbccbcbaabbbbacbbcbacaacbbcbbaacbcbb
+caacabccbbbabcabbabbbbbccbacbcbcaabaabcacbabbacbacbcbaabcbacbbccbccbacaaaaabacabaabcaccacbbaaaabaacaabcab
+caabbabbacabbabcacbbcabcbbaccbacaaccabccacabccbbcabaacaabcb
+bcbabacaaacabbacabcaccbcbabcccabcaaababbabbaacc
+abccbbabbbbcbcbbabcbcbaabcaaaabababaaabbccaccaaabbbcbcbccacbcabaacbc
+bcaacbaabaabbbcaccbbcaacaacaccaabccbbbbbcababaabcabcaacbabbcccbaacccbcccaababacabbcbabccacbbbbbbcbbb
+aaaacbaabaaabaaaaacabccbcbcbbaaabcbabcccabcaccabcbacbb
+acbbabbbbcbcaacbbcbbbaaabacaababcaccacabcbaaccaaccacccaacbabbacbbbbcacbccccaaaaacabccbbcbacabbacba
+abaccbbcbaabacbbcbacbbbbcccbabccbacccccbabbbcccccaabacacbccbaaccbbbbbcbcbaaacabbbcacbbacbc
+aababaabaacbcaaabbccbaccbccaabcccbabbbabbbbbabcbbbbccbccbcbaacccbbbcbacaababccaaabbaacbbaacbaccaaabacca
+cacbcaaccbc
+acccaabaacbbaacabbcbcacbbbabbabaaabbbaccaabacbcaccbbcbbabccbaaabbbabcbbbabbcaaababbcaccbba
+bbcacaabccacbbcccabacabbbcbbacacbcccbcabcbccccccacabacbcaccbcccccbbbaccbbacaacbaacbac
+bbcccacbbabcacaccaccaccacaabbbaaabccbbcbccacaaacacccaababbaccaabcabcaaaaccacccaccccbbcbaaacaccbca
+ccbccabccabbabccc
+aabcccccaabacabccabbaabaacaaaccbaabacbabbbcbbcbcbc
+bccabbababbbabbbaababbcabacabbbaabbc
+acbabccbbbcbccbbaccabbbbaaaccaccbabacaabbccaacccacba
+babbcacaaacbaabcba
+abbbcbabacbccacababbacabbcbcbbcaaccbbbaaabaabbbccccaabacccccbabbabbabcbcaababbcc
+cbbaccbaaacbacaacacaccbbcccaaacaaccacbbcacaccbbb
+cbbcbbcabaccaaaaaabacbcbababcbacacacbbabcbbaccbcbbcbbbcaacbbbbbba
+cacacabcbacabbccacccbbcbccbaacbccacabbbcacabbccbcbaaaccbabbbccbbcbc
+bcccbcabcababbccbbbaacaabcaabacaaabaaabcabccabbaabcaaaacbccaccbcabcbccbcab
+aaacaacbbaacbccabcbcbcaabaacccbabcabac
+bbacaaaccabbbcbcaaccacccccbbcaccabaccbbaaaccbbbccbbbccbacbcaaaacbacaccccc
+acbaacbaacacbaaaccab
+cbcabbcbbacccbcbcccacbbcaaaccbcaabcbacaacbacacaabbbaababaabcabbccacacaccabaccbcccbbcabbccc
+bcbcaccbcaabccaaababacbcabacaabaabbacccabbaabcabcaaccaabcbb
+bcbbbacabbcaabbbacbbaabbcaacabccbbccbbcabcacccbabbbbccccbbbacbcbcccaabbcbacbcabcccaaabbbbbbabccb
+aabccabccbabccaabccccabacccbccbaababacccbcccabcbabcabbabbcbbbcacaaaacbcaacbbb
+bcccbcbbaaacaaccccbacbcbacccbbccbbbbabbcacccabbabaabccababbcbaaccbaabacaccaacbbcbc
+bbbcccbbaaaabbaaccaabcaabbaabbacbacbbabcccbaacccbbababcbaaccabccccccbabacbcbccccbacccccbbaabbccaa
+cabbabbabcbacbccbcbacccaacaabcabcbabacaabacbaacabcaccabbacacbccacacabaccabcacbaacaaab
+cbcaabcabcbcabcacacaccbabbabacaacacaccacaaccacccaabcbcaa
+abbbbbbcbbabccaabbaaacaaaacacacbaabbcbbaabbabcbbaacbccacbacccbcbb
+ababbabcccbccababcabbbaacabacbbaabacccaaaaaacaabaaabcaabcaaabcaaccbaabaabcbbabbabb
+bbaaacabaaabbcaacbcababbcabcccbbabbbacbbbcbacbbcbcbcbbcaacccac
+aacccaccbabbccacbacbbacccaccaabaccbccbacacbbbcbabccaccaabccbbabccaabc
+cbcbbabbcccabbcacaaaccbabacabcaaabcababbcbcccbbbccccbaabcccabccba
+bcbbccaababcaccacaccabcaaaababbcaacacbcacabaaacabbcbacabaaab
+bbacacaaaccbacccbcabbacabbcbbbbbbcbccbcacbbcbbaccac
+cbabcbcbccbbca
+acbabbcccabcbcaaabaabaab
+bbbaacacabbbbababcabaccbababcbbaa
+aaabbabcbbbbabcbaacacaaabbcbabbabcccababcccccbcaabbbccaccbbcabaaabcaccbbbabbbbcbbbbacabababacaca
+aababccccacabbbbababcbbabaccacaacacaaacccbcbccbbaaaabcacabcbacccbccabcc
+bcaaaababbaabaaabbbcacbcaabbabcccabbbbbabacbacbcbabbaacabcbbacbb
+bbbabbcbbcaabcabbbccbabbaabbacbcabacbaaacbacabbaabcaacccac
+230 213
+aaaabaaaaaababababbbbabbbaaaabaabaaaaaabb
+baabbaabbaaaababbaaabbbabbabababbabbaaababaabbbaababbaabaaaaaa
+abbababbbbbbabababbabbaaabaabbaaababbbbbaababbbbabbbbbbaaabb
+aabbbabaabababbaaa
+abaabaabaabbbaaaabbbabbaaaaaaabbabbabbabaabaabababab
+bbaabaabbbbbaaaabaaaabaabaaaaabbaabaabbbbabaaabaabbaaaaabaababaaa
+bbabbbaabbbaabbaaabababbaab
+baaabbbaaabaaababbbbaaaababaababbababbaabbbaaababaaaaaaabbaababbabbaabaabaabaababbababaababbabbbabaabbbb
+babaababaaabbbaaabbbbbabaaabaabbbbaaabaaaabbaabababababaaabbbbbbbabbbabababbbb
+bbbbaaaaaababbbaaaabbbbaaabbaa
+bbbaaabbbaabbbababbbaaaababbbaabaaabbbababbaaabbaba
+babababbaababbbbababababbbbabbbab
+aaabbaabbaabbaababbbbbabbbbaaabbbaaabbabbabbbaababbaababbaababbbabbabbaaabbabbaaaabbababbaaaababaabaaaab
+bababbababbbabababbbbbababaaaabababbaabbababaabbbaaaaba
+abbbaaaaabbbabbbbababbaababaabaabbaaababbabaabbbbaaaabbaaabbaa
+bbbaababbbaaaabbabaaaaabab
+baaabbbbababbaabbaababbbbb
+abbbbabbabbbbbbbbbbabbbbbabbbbbabbbbbbaabbabaabbbbbbabbaabbbbbbbababbbabaaaabbaaababbbaabbbba
+bbbabbbabaabbaaaaaabaabaaabbabbbbaabaaabbbbbbabaabbbaabbbbbbaaaaaabba
+bbbbbabababbbaaabbabbbaabbbbbbaabaaabbababababaababaabaaababbabaaaaaaababbbaba
+bbbaabbabaaaabbbbaababbaabbbbaabaaaababbbaabbababaababbbbaaaababababa
+bababaaabbaaaabaaabaaabbabaabbabaaabbbbbbbbaaabaaaaaaabbbabbabbabaabbbabb
+aabaabbbaaaaaaaababababbaaaaabaababbbabababaaaaabbaaaaaabab
+bbaaaaaabaababbbbabaaabbababababbbbababbaabbbabbabaaabaabbaabbaaabbbbbabbbaaabbbaaabababb
+baaabbababbbbbaabbbbaaaaababaabaabababaaabbaaaababbbb
+baababbbaaababbbbabab
+aababababbbaabbbabaaaaaaabbaabaaabababbaabaaaaabaababbaababbababaabaabaabababaaaaaaabbbbbbbabbabbbaaa
+abbaaaababbbabababbab
+bbbbbabaaabbaabbbbbabbbaabbbabbbbbbbbbbaaabbabbbbaaabbbbaab
+abaaababbbbabbbaabababbbaabbaaabbbaabaabbaaaaababbbbbbabaaabbabaabaabaabbbbaa
+abbbababbaaaabbbaababbbabaababbaababbbaababbabbbaaabbbbaaabaabaabaaaaaabaabaabbabaabaababaaaabaabaababaaa
+aabaaaababaaabbabbabbaababbbbbaabaaabbabaaababbababbbabbbaabaaabbababbabbaabaaaaabaaabab
+abbbabbbbabbbbbabaaaabbaabaaaabbababbababbbaaaaabaaabbaabbaaababbbab
+aabbbbababbaabbbabbaababbbbbbbabbaaaaaabbbabaabababbbbbabbaaaabbaabbababbaaaabbaabbabaabababbabbaabbabb
+bbaabaabaaaabaabbabbababbabbaaabaabaabaaabbbbabb
+baaabbabbaabbbaaaaabaaaabaaababbbbaaababbabbbbbababbbaabaaabbbbbaabababbbabbbabaaabbababbb
+bbabbbaaaabbbbaaaaaaabbabbab
+aaaabaaaaaaaabbbbaabbaaaabaabaaabaaaaaabbbababaaabaaababaaababbb
+aabaaababab
+baabbabbbbbabbbabbbabaabbaabbbbabbbbbabbbaabbabaabbabbabbbbaaaaabbaaabbabbbaabaabbbaabaaaa
+aaaaabaabbabbabaabaaaaaababaaaaabbaababbbabbbaaaaabbaababaaabbaababa
+babaabababbbbaaaababaabbbbbbabaaabaaabbab
+aaaabbaaabab
+abaaabababbbaaaabbaaabaaabaabaaabaababbbabbabaabaaabaaaaabbabb
+abbbabbabaaaaaabbbbababbababbaa
+bbbaaabababbaaaaaaabaaabbabbaaabaabaabaaabbaabbbbaaaaaaabaaaabbbbbabaaaababbbbbbababaabbaabbbabaaaaa
+abbbbaabaabbbbbaabbbbababbbabbaabbbababbbbbaabbaaabbbaaaaaaaabbbbaabbabaaaaaaabaabbbaabaaabaaaa
+aaaabaaaaabbb
+baaabbaabbbaabaababbabbbaaabbbabbbabbbbaabbabaabaaabababaaaaaabaababa
+aabaaababaabbbabbabbaaaabababaabbbbbbbabbb
+abbaaaaaaababaaaaababbaaba
+babaaabbaababbbabbbaabaaabbaaaaba
+abababbaabbbabaaaababaabaabaaabaababbabaaabbbbaabbaaaaabaaabababbbabbbbaabbbaaabbbbbabbaaaabaabaaa
+baaaaabbbbababaaabbbaaaaaaababaababbbbbaabbaaabbabbaabaabbaabbba
+bbbaaabababbbaaabbaaababbaaaabbabbabaabaabbaabb
+bbbbbaaababaaaabbaabbbbaabaaabaaabababaabbbbaabbbbbbabbabbbaababbbbaaa
+bababbbaababaaabbbbabbbbbbabbbababbaabaabaaabbbabbbabaabbabbaabbbbbbaabaabbaaaaaabaabbab
+baabbbaabbbbbabbabaabaaabaaabbabaaaabbabbabaaaaaabbba
+babbababbaaababbbabbbbbababaaaabbabaababbababaaa
+bbabbbaabbababbbb
+abbbabababaabbaaababababbbbbbababbaababaaabbaabbbbabaabaababbabbababba
+baaaabababbbabaabbaaab
+aaabbbabaabbabbaaaabbbbabaaaaaabbaaababaaaaab
+bbaaaabbabaaabbbbababbaaabbbbbbaabbabbabbbaabaaabaaababbabaabbaaab
+abbbababbabbbaaabbaabab
+ababbaaaabbabbbababbabbaaabbabbaaab
+bbaabaaababaabaaabbbabbaabbaabbbbbabbbaabbaaaabaaaaaaabaabbaaabbbaaaabbbabaabbaabbabababbaaaba
+bbbbbaabbaabaaaaabbbbbaaabbbbbababab
+aabaabaabbbababaabbabbbbaababbbbaaaaababbabbbbbaabababbababbbabbaaabbbaababbabbaababbaba
+abbaabaabaaabbaabbbbbabbaabaaababbbba
+aaaaaabbabbbaaaaababbaababbabbaaaabbaabbaaaaaaabababaaabaaaaaaaabbbabbabbaabbabbbaaba
+abbaaaababbbbabaaabbaabbaaabbababbabaabbabababbbaababbbaaabbbbabaaaabbba
+bbaabbababbababbbababbaabaabbbbbbbaabbababbbababbaabaab
+aabbababaabaaaabaabbaabbaababbbbbbaababbabaaabaabaaabaabbaaaabababaabbabbabbbaaababbbaaaabaaaabba
+aaabbbbbabaaaaaaaaababbbaababbbbbaabbbaabaaababbabbbaaabbbbaaababbaaaaaabaabbbbaabab
+bbbbaaaabbbaabb
+ababaababa
+bbaaaabbbbbbbbaaabbbbbababaabbbabbbab
+bbabbababbbaaababaab
+bbaaaaabbbaabbaaabababbbbbbabaaa
+aaabaabbbaaabaabaabbaaabbbbaababbabbaabbbaaababbabb
+baabbbbbbbaabbbbabbbbbbabbabbbabbbababaaabbbababbabaaba
+babbaabbbabbabbbbaabba
+babaababbaabaabbbbbbba
+aabbabababbabbabbbbbbaaaaabaabbabbabbaaabaaababbabbaaaabbbbbaaabbaaabaaabbaaaababbaabbbaaaaaaaaabbbabb
+aababaaabaabaaaabaaaabaabaaaabbbaabbababaaaaabbaabbbaabbababbabaaaabaababaabbbbbabaabbbba
+ababbbbbabbbbbaabaabab
+bbbbbbbbbaaaababaaabbaabbabaabbababbbaaabbbbbaabbbababababbaabaabaaabbbbbaabbbbaabababbabbbaababaaaabaaa
+ababbabbbbabbbabbbbbbababaaababbababaabbbabbaabbaabbaaaababbbaaaaabbbbaabbaaaaabbbb
+bbababbababbbbaaabbababbabbbbbabbaabbbbbababaabab
+baaaabbbbaaababbaababaaababbabaabaababababaaabbbbaaabaaaaaaaaabbbab
+aabaababbbbabbbbababbabbbbbabababaabbaaabbaabbbbb
+aabbaaabaaabaabaaaabaabbaaababbaaababaababbaabbbbaaababbabaabbaaabbbbaaabababaaba
+babaaaaabaabbbbbababbbabababbbbbbbaababababa
+aabbbabbaabaaaaabaaabababbaaaaabbaaabbaababbbabbababaaaaaaabbabbabbaabbbbbaabaaabaabaababaaabbabaa
+aaababbbaab
+baaaabaaababbaaababbabaabbbabbaabbababbaaabaabaaaaababaabaabbabbbbbabbbaabb
+baabbaaabababaaaababbbbaabbabbbbbbabaabab
+babaabaaaababab
+aababbbbababaaaababb
+aaabbabaababaabbaaaaaabaaabaab
+bbaababaaabaabbabbaaababbaababbaababababbaababaabaaababaaaaabbabaaaabababbbbaabbabababbbabaababaab
+abbbbabbbaabaabababbbababababababaaaaabbababababaabaaaaa
+abaabbabbababbbbaaaaaabaaabbabaaaaaabbaaaaaaa
+aabababbaabaabbaaaaaabaaaaba
+baaaaaaaababbbaabbbbabaaabbabababbabbbaaabababbabbabaaaa
+aabbbabaaabbabbbaabaaaababbbabaababbbbbaabaaaabbbbabaabbbbba
+baabbbbaababbaaabbbabbaabbabaabbaabbbaaaaabaabbab
+aaaaaabaaabbbbbaabbababbbbbbaababbababbbbbbababaaaaaaaabaaaabaaaabbabbaababbaabbabaababbbaaababaabaab
+bbbaabbabaaaabaa
+aababaabbbaabaaaabbbaaabbababbabaababa
+abbabbaaaaaababbaaabababaababaaaaabbaababbbbabbababbababbabaabbababbaaabba
+aababbbaaabaaabababaabbbbabbbaaabaababbbbbbbaabaaabaababbababbaaabbaaabbababbaa
+bbababbabbaabaaabaabababbaaababababbabaaababaaab
+bbbabababbbababbaabbabaaababbabbbaabaabbaababbaaabababbabbbaababbbabaaabaabbabaaaabaaabbbaba
+babbaaaaababaaababbababaababababaabbbabbababaabbbaaababbbbbbaabbbbbabbaaabaaabbb
+abbbbabbbaaaabbbababababbabaaaabaabbbaababaaaabbbbababbaabaaababbabbbbb
+bbaabbbaababbabaaababbbaabbbababbababababaaaaababbababaaaabbbbbbabbbbbab
+abbaaabaabaaababbbaabaaaabaabbaabbbbbababbbbabbbaabaabaabbabbabbb
+ababaaabbaaaabaabb
+bbaaaababaaaaaabbbaaaaababbbbbabbabaabbaabbbaaaaaabbabbaaaaabbbbaabbabaabbbbabbbbabbbbaabbaaaababbaa
+ababbbbbbabaaaabbababbbbabbbabaabaababbabaabbbaaaaabaabaaaaababaaabaaa
+abbaaaababbbbaababbabaabbbbaababbbbbaabaaabaaababaa
+babbaaaaaaababbbba
+aababbabbabaabbaaaaaaabaabbbaabbbaaaaabbaaabbaaaabababbbabab
+abbabbbbbaabaabbabaaabbbbbbbaaaaababaabab
+bbababbabbaabaabbbaababbbbaaabbbbbabaabbbbabbbbabbaaababbbba
+ababbbaabababaaa
+abababaababaaabbbbbbbbbabbbbaabbbbaabaabbbababbbbbbaaaaabbaabaabaa
+bbaaaaaabababbbababbabaaabbbbabababbbbabababaabbbbabababaaaaabbbbabbaaabbbabbbbbb
+babbabbbabbbbbabaaaba
+aabbabaaabbbba
+bababababaabaaababbaaabaabbabbbbaaaabaabaaaababababbababbbbbbaaabbbabbaaaa
+abbbaaababaababbbabaababaabaabbabababbaaababaabaaaaaaaba
+aaabbabababaaabaabbbbabababbbbaabaababbbababbbbbbbabaaaabbabaabaaaabbbbbabaaaaaabababbbbaaaabbaba
+bbaababababbbabababaaabaabba
+baaaaabbaaabaaabaabbbaabaabbbabaaababaabbabbabaaaaaabbbaaaaababbaaaabbbabbbbaaabbbaabaaab
+bbabaabaabaababbbbabaaaabbaabaaa
+abbbababab
+baabbabaaaabaaaabaaabbabaaabaababaaaaabbbbbabbabbbaabaaabbbabaababaabbbabbaaabbbababbbaaaabbaaa
+ababbabaaabbbababaaaaababbbabbabaaaabbababbaabbaabbabaabbaabababbbbababaaba
+abaabaaabbbabbbaababbbaabbbbabababaababbaaabbbbabbbabaabababaababb
+bbaababbbabaaab
+bababbbabbaababaaababbabbbabaaababababbbbaabaababaaababbaabababbbaaaaaa
+abaaabaabbbbabaabbbababbbaaabbbabaababaaaabaaabababaababababaaaabbabaababbbbaaabaaaaa
+ababbbaabaaaabaaa
+baabbbaaaabaaabbbababbabbbbbbbbaabbbbbbbbbabaabaabbabbbaaaabbbbababaabbaabbababbbbabbbaabbaabaaababaaabaab
+aaaabbbaaaabbabbbaaaaaaaabababaababaaaabbbbbbabaabbaabbaabbabbaaababbaaabaaabbabaabbaabbaaabaabaaa
+bbaabbabbbbbaabbabbaaaababbabbaaaaaaaaaababbababaabaabbabbabbabaabbbaaaaabaaababbbbaababbbbbba
+aababbbabbbbabbbaaabaababbabbbbababababaabaabbb
+ababaaaabababbbaaababbb
+baabaaaaaaabbbabbbabaabbabbbabbbabbbaaaaaaaaabaaaabbabaabaabaabaaabbbaaabbaaaabaaabbbabbaabab
+abbaabaabaaaaaababaaaabaaabababaabaabbabaaaa
+aabaabbabababaaaaabaabaaababbbbabaabb
+bbbaabbababaabbbaabbbabaabbabbab
+bbabababbbbbaabbbbaaaaabbbbabaaaaaabbaa
+baabaaabab
+bbaababbbbbaabaaab
+babaaaaabaaaabababaaaabbbabbabbaa
+abbbbaababbabbaabbbaaaabbababababaaab
+abbbaababbaaabbaaabababbbbbaaabbbabbbaaabbbaaabbababb
+babbbaabbaabaaaaaaaaaabbabababaabbabbabbaaaaaaaaaaaaabbbabababaaabaabababbaaaba
+ababbaabbabaabbbabbbaaabbbbbba
+abbaabbbbbaaaaaaabbbaaabaabbbaaa
+aaaaaababbaaabababbaabababbaa
+bababbabbaaaaaaaabababaabbbbbbbbabababaabaaaaabbbbabaabaabaaaabbaababa
+aaabaabbbabbbaabbabaabbbaaabaaaaababaaabaaaaaababaabbbaaaaaaa
+babaababababbaabbaaabaaaabbbabbabaabaaabbba
+bbbabbaabaaaabbaabbbbaaaabaabbabbababaaaabaaababbbabbaaaabbabab
+abbbabababaaaa
+baaabaabaabbababbbabbbbbb
+bbaaabbbbaaaaaaaaaabaaaaaabababbbaabbbbbbbbbbbbbaaaabbbbaaaa
+baaababbaabaabaaabaabbababbaabbbbaab
+ababbabbabaabbaabbabbbbabbaabbbbaaabaaaaababbaaabaaaaaabbbaaaaaabbbbbbabaaabaaaababaaaaaabbbbaa
+bbaababbaababbababaababbbabaabbabbbbaaabbbaaabbbabababaaabbbaabababbabbbaabbbabaaaaabbaaaabaaa
+bbababaabbbaababbbabbbaaba
+aabbaaaabbaabbbabbaabbaaabababaabbaabbbabaaabbbbbbbbaabaaabbabb
+aabababababbbababbabbaaabbaabbabaabbbbaababaabaaabbabaabbabbbabababbabbaabaaaaaabbabbabbabaaababa
+baabbabbbabbaaaabaaabaababaabaaababaaaabbabbaaaaaaabbb
+ababbbabbbaaabababababaabbbbabbbbbabbaaaaabbabbabaaabbabababababbbbbabaaaaabbaab
+abbbabbaabaabbbaaaaababbabababbbbbbaaabaaababababbbbbbaaabaaaaabaabbbbabbaaaabaaaaabbbbaabaabbbbaabbaaabb
+bbaaabbabbbbbbbaaababaabbbbbabaaabbabbaabaaabbabbbbbbabaabbbaabbbaabbbbabbaabbabbbba
+bbbbbbbabbabababaaabbbbbbbabaaaabababbbabbaaaabbbabaabbabbbb
+aabbbbabababaabaabbbabaaaaa
+bbbbbbabbbaababbaaaaaabaababbababbbbabaaaabaaabbabbbbababbbbbaabbbbbaaabbbbbaabbbaaabaaaabbbb
+baabbbaabbbbaaabaabbabbaaabaababbb
+aababbaaabbbbaaaababaaaababbbaabbbaabbba
+baabbabbabbababababaaaaabbbaaabababbbbaab
+aaabababaaababbbbaabbbabbabaabaaaabbbbabaabbabaabbabaaabbbababbababbbababbbbbaabbbabbaaabaaabaababbababbb
+aaabbbbbbbababbaabbbaaabaabaaaaaabbabaaabaabaabaaaaaabaaaaaaabaabaababbabbabbbbbbaaaaaba
+aababababababbbaaaaabaabbabaaaabbaaaabbbbbbaaabbbaabbbabbbaaaaaabaabbabbbbbbaababaaabbbba
+bbbaabbbbbbababbaaaaabababababababaa
+aaaaaababbaabaaababbbbbbabbbbbbbbbbababaabaaabaaaabaabbabaabbbbaaabbabbaabaabbaabbbaabbbba
+abbaabaabbabaabbababbbabbbbabababaabaaabaaababaabb
+abaaaabaaaabaaaaaabaabababbbababbaaaabbbaaaabbbbbbaaaaaabbabaaaabbb
+bababbaabbbbbbbbbaabbbbbaabbbbbbabaaaaaaabbabababbaabaabababaabbabbaabbbaaabbabaaabaabbabaabaaaaabbba
+abaaabbaabaaaabaababbaaabbaabbbabbababbbbbbababaabaaaaaaaaabaabaabbaabaabaaaaabbaa
+bbbbabaababbabbabaabbbaababaaaabbaabbbbbababbbaaaabbbbaaabbaaabaabababaabbbabaababbb
+bbaabbababbb
+babaabababbbbbbbabbbaabbbbabaaa
+bbabaaaabbaabaabbabbabbbbbabbaaaaaabaabbababbbbbabbbababbaaaaaaababbabbabaabbbaaaaaabbababaabaaaa
+bbabbaabbaabbabbbbaaaabaaababbaaaabbabbaaaa
+babaabbababaabbbbbbbbbbabbbbaabaaabbbaabaabbbaaaabbbabbbbbbbbbbbbabbababbaaaabaabababbababaaabbababbbbbbbbbb
+abbaaaabaaaaaabb
+baaabbbaaaababaaabbbbaababbbbbbbbaabaabbabbaabbbbaaabbaa
+abaabbbbaababbbbaa
+baaabbbbaaabaabbaaababbabaaaaaaaabb
+babbbbbbaabaaabaababbaababababbbbbbbaabbabbaababa
+babaaaabbbaababababababbaabbabababaaaababaaaaabbaaabaaabaabaaaabbab
+bbaabaabababbbbaaaabbaabbbbaaaaabbbabbaababbbbbaababbabbabaaabababbbbbbabaa
+aaabbbababbaaaaaaaababaabbbbb
+babbaabababbabbabbbaababaababaabbbbbabaabbbbabbaababa
+babbaaaaabbbabaaabbbaabababababbbabbbabbabaabbabaaababbabaabbbbbaabababbaaabaaabaabbabbbaabbaabbbbbbabbbabab
+bbbbaaabbbbaabaaaaaaabbbaaaaaaababaaaaaaaba
+bbbaaaabbabbabaabbababaabb
+bbbbaaaababbbabbbbabbbabbbabbbababababaaabbbabaabaabaabaaabaa
+bbaaaabaabbbbabbaaaabbbbbbabababbbaabbbaababbaaaabbabbabaabababbabab
+bbabababaabbabbbbbaabbbbaababaaab
+aabbabaabaababbaabbaaaaabaabbbaa
+abbaaabbbbaaaaabaabbabbbbbbabbabaaaabbbbabaaabbbaaaaaaabaabbbaabbaa
+abbbabababaaaabbabbaaabbbbbabbbabbabaaabbaabbabababaabbbbbbbbbabbaaaabaaa
+bbbbabababaaaaabaaaabababaabaabaabbaabbbababbbaabbbbbbaaaaababbbaabaabbbaaa
+baababbbbbabbbaaaaabaaabbbaabaaaaabb
+baaaabaabba
+ababaabbababbabbaaabbabaabaaabbaaaaaaabbabaaabaabababaabaaabbbaaba
+aabbbaaaaabbabaaabaaaaaabbaabababbbbaabbbbababbbbaaaabababaabbabaabaabaaabaabbabababa
+aaaaaaaabaabbbaabaabbabaaaaaaaaabbaabbbbbbaaaabbbababaaabaaabbbbbabbabbaaabbaababaabaaabbbbbbbababababbbaab
+bbaaabaabbaaaaaaabbbbbbaaabbababbabbaababaabbbbabbbaabaaaababbaaabaaabbbbaabababababbbabbabbaa
+aaaaabbbbbabbaabababbabaaabbbbbaaabbbabbbbabbabbbbbbbababaabaaaabaaababb
+abbbbaabab
+243 70
+ddaabcbdcccdbdaacbddcacdcdbaabbadabcadaaacaddccbadacabcbdcdbbcdccba
+daccadcabdbccadcadbcadddcccdccddbadddcbcbccbbbadaadccbbacaac
+cdcaabdbccacaccdacdc
+dadaddaabbbdaabddbcacaabaacdcbcdbcaacbabcadaddaaadaccbccbacdcbaadadcbbddaacadbbadcddacdbcbddbbcdcba
+ddaccbdcbcbdadcdaaaabaacbdadbccadccccadaa
+abcadcdacbbacbdccbadbbbdacbdcd
+ddbddcccabbbbddadbddbaabbdadaabcbbdaccccbaabbdbbddcaaabbdaadadadbbbadcbbccabacbdcadbabddbd
+ddbabdabaabddaacbcdcddccaddbdcacdddacccaddccadbadcbabaaababcddabdab
+acdbcaacdaadbcbaabdbbcbbdacbb
+acaddccaadbbddcbaddcda
+bbacaccdabacdbbddbbccadbabacccbddbdc
+aaddddbababcbadacbbbcbcdbaacbbcacaabbddcccdbdacbbcbbabddbbbadcacccbbbacabbdaacddabbaa
+daaccddddabbaaddbcddbcbcdcbbddacbcadddbbdbbacadacbddddaabaadccbdbcdcbaadabacbdcb
+dbaccaacccbbdbaadbbddb
+dcbbbbbacbaaadcbcccbaccccddcbcabcbdabadcbccccbcacbdccc
+dddabccadadbbabbdbccdddbdbaccbadbddabbbbadaaaabddaddabaadda
+cdbcdbdbadcbccddbbbbaaacadacdcbaacbadbbcbdbbcadabdcdab
+cbabcadbbadcbadbcdbcddcdaadbbdbbbabaaabcbcbbbcbddababccabbdccdacaddcabbacaaddaacbdabacccbcaacbdccdbad
+abaaacdabcdcbaabdaadcdcccbddadd
+abdcdbbdaadbccbdcaaaadd
+dbabcacaadddacaccdadadaabbdaacdcabdbbacdadabbbbccadacbabddabca
+baacabcbabcdb
+bcbbbbdccdbbdacadabdbcbcbbddacdbdddacdcdcddbabdddbcccaac
+dbbacbdabdcbddbbcddcacdaddbdccbbaabddbdccacabcbbcacdcbddadaadcccdcccdacabdacdbdcccccabccaaacacbbcacacdc
+cbbddbdaadabababddcaaadcddbadbcdabaccdacbdcaaabddadaacbabdcaaccbcadaccb
+bbcbbddbccaaaabccadbadcdbbcaaaadcdcbcdabdcdcdbdcbadabdcbaabaaaaacbccbbabdaaaabccdbdbaaddddcdbdbdbaacbbadd
+cacdacacccbdc
+abaddabaabcbbabccccacdbdddadcabdbadadddcdcbcaddcddacbbdccacbdddbccbddbd
+ccbbcbddaadbcadddbb
+bdcdacbbccccdaabcddacbdbcdabaddbadbbacbaadbacbdddbabdaabccbdcdbacadccccccbbdcaadcaad
+babbcdcbbdbacadbbaacacabadababbddbcbcacaaccbbacccdaddbdadbcbadddddbd
+dbdaaccbacdaccdcdcbcddcaaaabdbcdbcddddcabddccbbdadabdcaaabdbacbaddcddbbcbaaabacdbdcbacbccaacdacbadbb
+ccbaddcabadcccddabddccdddbbbdabddccacbcdcacbaabdcbbcbddcdbdaaaadcbbdadbbbadddbaa
+bcaabcbbddbabcdcddcdacccbdaaadabcbbbbdbaacacddbbcaddccbdcadcbbdacbcab
+cacbbcbbcaacbbdcadcdbcbccdccbddcaccdacccbdbaacba
+bcadddcdbaacbaaddaa
+daccddbcbcdabdabc
+bcaadabbcbadbcbdccabcccbbddbddaaabbccbabddabdbabcccbcbbdbddaccddacca
+acadacaabbbaddbbcbbdcccacdacabdacccd
+dcbcacabddcbbadcaacacddacddbdddaacdcbccdacdcabadcdabcbdbdbabdababdbddaaaacddadaaaabbabddbcb
+acdbbdaacdddaddddbcdcaccbbcaaddadbdabbcccbdcaddabccdadbbd
+cadcaaabdcbdcaaccdadbdcdabcdbadabdadbccacda
+daabbbaabbadcdbaadbaaccbdbcabdbabdbabaac
+bbcaacccadacacdbbcddaadaddcacacccdcdbdcccaddbbadddcbadcdccacdaadaadaabacbbdbddcabccbccdbbdbd
+bcccccbddabacbcdbcaddcbbddbdbdacdcbcdccdcdaabbbbddabdbbbddbdaacdadacdacddbbadaada
+bbababddacbdccdbccaaabbcaabbcbadcaaabacadccdabdcbdcaccacaaa
+bbdabbdadaaacdbdbbabddcadacaccdcadccdbdadbdadcdabdcdddaabadaaabbacbcaacddcdcdcbcbccdcbddccdcddddadadcbcc
+ccbccabacdabccdbbdcdbbdcabccddaadaacaabaacccbbbdccbbaddaacbcbdbddbbcabddaaadcabadaaaababcdacadcbd
+bcccabaddcdddaaacaadcdacbabdcbbaccccccbdbccbbbabcaacaddbacdaaabccbcdadbddabacadbbbcddddaadabddbabcbaaabd
+cdcccddddabaddccdcacbcdcbdcbadddccdddacadccdddbaaadaabdacaabbcbcdacdaadabdbaabddaaaacaabbbaabacbbdcbdccd
+dbddcbbbabbcadadcdbbbabbccccabaccdcdcbabdc
+adcaaddacbcaacdbbcacdddcdbcdbdcaddcbbbabcbadadbcbdbaccdcbbbabbaacdd
+adcaadabddcbbcd
+bdabcddcaaddadbdbdaacbbbacccdcabbaaadcaaaddbadcbad
+cdcacccbcaadaadcdacaabbacaabbddaaddddadcbdaabbcbcacacacccc
+bcabcdbbbcbdbdcabdbddbdacacddcbbcbdcabdddbdbbcccbaacbbcd
+dbabcbbacdcacaadadd
+dddbdaadddacbdcbbcddaaabbddbdcacdbdddaccdcadcdaadcbbcb
+dcdccabdaadbabbacbbcaddabdbacdddcabcdbcbccb
+acdbcdacbbcbaccbbbca
+bdaabacdbddabcaaaabaaacbbdbccaabbbccbacdccaacccdccabdccdaccadadcccabbdcaa
+dbcbbbbdddbcdcdcdaddbbdcaabbc
+daccddcccdbbdcdcbcbcbcccaadaabaac
+accadbaabdccdbcddadabdabbbaaccabaacdccabdaabbcddcbcdcdbdaaddaacadabacbddcaabccddadcccababcbdc
+ccccdaccdaabcddaccbadabcdbcbbdadbdcdcdbaccadbbcdacbbacaddaccdabbadbdadcdbcbaabccbdbcdcdccd
+abaacbcbccbdbacbcadcdcc
+cbddccddcabbccbacbcbcdcaaaaccddba
+caacdccbccbabaccabaadbdbacacdbbbaaccabbdcabd
+bcbadcadcbdaabdbbbddaabddbbdcb
+adbbdcccbaaacccdb
+accadacccbadcbbddcacdcbbabbdabaabcdddabcaddaccbbbbbccdaacddacddcdcbbaddcababaacaccabacdadadadacbaacddac
+cbbcdddcbbcddccccbdbdcadcadcadcbbbdcbcabbabbcaacbdcdadbbacbbbaacdaca
+bbcdccdddcadcdcdadbcadabbaacddaaacdbcdddacbdcbcbaacbbcaababbadcadadbbcaacaadabdcacaccbbbbbbabab
+bbbdcbbaddbddacdcdcdbbaaccaddacdcccbdbbaaccddcbcdadbdab
+acabdaccbdbacaaccbcaadddbadddcabbccaacddabcbbdbbacdacba
+abacacbbcdcacdbcdabccccababbacaabdcbcacddbcbaadbdbbdbaccdcbdccbdcbbabbddcbddbbdadbdd
+bbdcddbcacdcdccadaababdadbbbcbbdbbbbdbbadbcaadcccaabaacdbdbbbddbdabccdcbcbbdaadbaccb
+caadacdaacdccaadaadcbbacdaaabaaddcbccccabaccadabdbdcababdddbbdbacbadbcadddcccdcbdadabbadcabbcdbcccc
+bbcdabadcabacdadcbd
+adcabdcbcababcaaacdcd
+adbacbaabadbbdc
+bcadccdbccaacadcbdcbbabcddbaadcd
+dadbbadcdcabcaaacbabdcdbacbdd
+cddadccbdbdbaddbaabdcdabbbaccbcbadccabaccadcdbd
+bbcbaddcbab
+dadadbbcaaccacdcdadacdbcbcaaaddcdacadbdcbdc
+bddccadbccbcdaadcbbaabddabdadbcdbccdaaadcadabbbcbddbbdabaacdabadadbbbaddbbbcccabcdbacaaaadcbbabb
+dabbdabdaccabcccb
+bbbdbcbcdabddddacdcbacddacbcdcbd
+ddaddbdcbadbbcdcacbdaaaadbabbbaddccdacddcdacbdabadabbcdaabbdacbcdccdacbd
+bbdbadbabcdbcadcbcdcaaccddc
+abcbbccbbddbabadaccddbdbcdabbcdbabbbadbabbcaabbbcaaababcbbbcccdcabdaaddddddcdacdac
+bdccdacbdcdacadadbaccddccddadbaadbc
+dabadbbaaaabdbbccadbacccadaadcbaaacadcdcdbddabdbcbddddaaaccacdaddcbddddabbaababdacaaabdbadabbdc
+bcacbabbacacbcaddcabacbdbdbdaadbcddbbdddcabdabaaacc
+ddddccccddbabcbbacddaabcaadadb
+abcabccdacbccbadbdcbcc
+bbcbbbcdbabd
+cbcbbdabbbbbbab
+aacdbbdbbcccaacbdabadcbcadcddcdaccabdccbdacbcabcabbadbdbdcccadcbcccdacddddb
+caccbcdcacaaabdbacdbabcacadbaabdadaaa
+dadbdbbcadabcabacdddba
+daadbadbccdaacaaccbaaccbcabdadbddaaadbdbbaaacdadabd
+ddabaacaccba
+cacccaddcbbaabdbbbaddddddcbdadcbaabcbbccdaacbaadbddadcacadcbcabcadbd
+bcacbacbaaacbccccbadaddcadbadabcaccbbb
+bbbcdcaabaabaacacbccdadaabcdcddaabbbacdbdcdcabbcbacd
+adaabcabcdabacacabcdcddaddbbdcbdbacbbcbbabd
+dbbccddcbccbcaabcbadddddbcbad
+acbabbbacccbdcabaacaacaacabdadddaccaadddcdbbaacddddac
+dbdacacabdbdcddb
+ddbbdbdaaddcddcdbccdacacbacdbbdacaaacaacaacccadacbbbcabbdddaabaaaccdbcbadbcaacadcbdadacbacbbdd
+accdaccdaccacbcadcccabcdcdcadbddbbdbdbdcbadbbc
+ccbddabcbabdcdcdbdccddddaaacdaadbdaaacbdadcbbbabbdcdaccdcbdbabbcaaadacd
+adcdabdcbabacbcbcccabadbbdaabdbbcbabddbbdcbbbcacbcccbaabcccddbaacdcccc
+bbbdabcbddabddbccacdabccdbabbdbabddbacadd
+abbaaabddbbdcaabbdbdcbbaadacdcbcacacbbdcbdcaccdddbabbcbabbbcdddcbdaaaccccabdbabbdaddaaabba
+cacbbbabaaacba
+cbbadbbadacababcacdddabbdcababaadaacaacbbdbaadbabdababcadbbdcdbcbcaacaacddc
+acaccbbddcbaabacacccbcbadbabdadddbcbadbdbccccbccdabdcabcacaadccc
+dabdbccaabcdabacddaadcbdbdcdcbcccabaccbddcdbbdcabdbdcbcdcdccbccdccbcdddccabbccabdcdaacbabdb
+bacdabccdbcaadcdcccbabd
+cbbccccbdacabdcdaabdadbabacaccbcbaddcbcadcdaabdcdccbdaacddbbcacbaadaddabdabbababbaabbacdcbcdbdddba
+baacdcdccbadbbaccdbddacababadddbdddcbbccbaacbbdcddbaaadcbabbccddccbdbbbbabd
+bcdddadbabaaccbbdaacbbdb
+bbadbddcccaaddcaaccdabdcbacbddbaaccbcabbbcaacbaadadaadbbaaaddbbcdbdbbacccbcacbbbbcdbabbaccbadccdddbdbcb
+ddcbadaaaaaddaadaadbccbaaacbdcbcaddacdaaacdabacbbddddcbdababdbccbbcbddc
+bbdccacdaabbabdddbcbbaaaacdbbdaabb
+adadbcccbacaaccaaacbbabcdabdaddccbda
+bbacdccaacabdacbdcdaabcbdcccbbdcdababbaabdbacdbcdbbaccabbbcdbccbcdabdbabdcdabcbacdcadcdcdbddabbdaadcdaaacddb
+dbaccaccbbdaccdbbddbddbbbbcacdcbbbaaaaaababaddcacadabbabdcadcddcdabbccbbaabbbbddcbabdbbadbcbdcaacdadaaccccc
+cccbacbbbbadabadcaabdbcacbcdbacccbbbbbdcdaacdbddcabbbadbccdabacdaadcbaaabcadcda
+cbbdbccdabdabcdadacddbacdacbaaacdcacaadbbaabcabbadaabcdaabcabdccacacdccccaacaadcbbdabdbcbbacd
+cadcaaccdcaccbdcbbdccabadcdcbbbbaacbbcbccdabdcbd
+dbccbacdbddccbbbdddcbcccacaacdbdacaabaadcccdbbbdc
+badaadacdcdb
+ddacbbddddaabbacaabdcbaadaabddabacdcaaddbbaadbddbc
+bdbdbbcdcdcccdcbdadcdaadaccdaacbdbbbdabddbadbdbddaabdbabbbdcdccddbaddcabbcdcdddcccbacacab
+dbdcadcacccdcdccabacccadccbddddaadadbbddad
+abdccabacadadccbabbddacbbdadcdcdddadabb
+cccdcadacccdcddbaaccaacdddadcdcbcbdccacaacaabbdccccbdbcdcdacac
+bcdaadbcacbcdcbbbcdbabacbbaaacaddcdbdaaaadccaabbdbabdbadccbdcaaaaacbdbcccdaabdaaadbcbbada
+acdaaabadbabdbbadadcaddbbdaaabccaad
+bbdcadcddcdddacbdaaabaacbdaddabbdaadcadabaccadcbdadbcabccdbcaadcaddcbcaddbadddcdcbdbbdacdaddabcddcadcdccc
+abaacbadcddbadcdcabbadaaadaccacdcabcaabdbaddcdccc
+acdcdaabdabbabbccdbaacbabddbccdacbbdcacbbccabddabdccdbdccbbadcbdddacdadbbbcabbabadbcbdbdaaacadcadbd
+ccdcadcccdadccbbaabbcbaacb
+abcccdbbbcdccaadaaaabcdccdddbccccbbaaacaadadbcaddabbabaabaabacacbbbaacaadacaa
+abadbccddbda
+baadcabbbbbbccacbbdaabccdcdcbbdbaadaabbcccaaccba
+cacaaabddc
+cbddbbcdcdaaaabbcacdbacbbcdccbcadaccbcacbdbbdcddbbbdaccdcccbbdabdabdacdd
+acdcdaddabbcdacbdcbddabacbadbabcdccdbcbaabcbdaccaabccdcdabaabaaddabacccddcc
+abaccbbcdacaaabdbccdccdabccccaaddbcadbabaacbbdadbbdcdabd
+adcbdbdbacbaacccbabddbcabcccbbbdabbbbcdabbddcaaccdaabcbcdbcdbaadaccdcdda
+dcdadacddcacabcadababcabcadaaaaacbdab
+cabadccbdbbbcdccaaaad
+cbcabbabcddabcdcbadcbddacaaabbbcbbbccacbabdadbddbddcababdbabdcbacddadcaadddbaccbcbcdbdbbcbabacd
+dbcacccbcbccababaababaadaaddacbadbbabdaacadabdcaddcbbcddaaa
+aabcbcdbaaadcadadcbcccacaaacadbddcbbabbbacacdaacadddbcaabccabaacdccaadbcd
+bcdddcaabadacbcccdaaacbcbdbbabdbbcaaaacbddddcddabdbbc
+bdbcaadbbaacdbabcaccdbbcacdabaacadabbdccbcbadcdcccdacbcacbcccabadcccabcccdddccabdcbbbcbacdcdaaacabcabbbabdba
+ccadccccababcbacbaccadbbddbabadcccbbaaccadaddabcddcbbcabdacbccbbabccdaccbacabbbabacaabcacccddcbcaacabcacaa
+dbbbcbbcdbdcddbdaadc
+aabbcbcddccdddbbbcadbbdaaaabbccacbcccabcccbbdccccbaa
+acbbbaccaabdddcacdcaccbaadabcabbccbbbcacabcacdbcaaaabc
+bcdbdbabccadcccdbdcbdcdcbdcdbdddccdbdcaabdcbdcddbbacdcbcacccaabcbbcccbbcabadaddbcba
+dbbbccccaccacdddbddadaadbadabaabcadbbaacccabaddbcccbddbaa
+cbcadcbbcdaabdadacbababaddbccbaacbdcacbdbcbbcbdcccdccdbacaaddabbcaadaadabdadcccdaaccbdadbadcaadaacb
+dccbbbdccdaadabdcddaddadadcccadccaaabcbbadbaabcbcadddabccaacbdbcbbcdddc
+bbaaccbdddaaadcdcabcaddaacbbcabbabdc
+abacccbcccadbbbacbbbccdadaacbaddcaaca
+dcbdcdaabcbdbbadaacbaabbcaaaddddcacacadbccbadcbddccdadabbaacadbaddcbcdbcbaacbaaccadcaacbcbabcd
+abbddacaacbabbdddbbdcddbacbbbbcacaabcbdcdacadbdacaaddbcabbbcaacccabbc
+bdddccbdccbdaacccabadddadcabbbcbdccbddbbcbabbbaccabbda
+bdbaccddbcabdadaccddbddcdabccbadccdadcdcabbdabbaaadbcdcdadbadbbdbbbabbcdbdcaabaccccabbacababcabacadbadcbcdbd
+dabcbaddcbcadabcb
+dcbdbdabcbbcabdacbadbabcbbdabbdaadbacdcdaadbdbacbadcadbbcadbdc
+ddabbbbdddabbacbbddcaabcbdccacabacaadddbcababdbbbcbabacdbabcbadabacbbbccbcaa
+adaaadadbadaaabcadaabbdbcbbdcbddbabcacaaabbbdaaabadbbbbbdabbcbcdcadadbaaddcabbdbddaabbbbcbddddddacaad
+dcbbcaddbcbddcdbdccbbbddacdbcadcaaaabdbcacabdcaadaadcabccabddabdbbaacabb
+baddaaaaddbbacdddddcbbdacacbcbbdccacdcdddbabccbcbddccdcdcdcaaabac
+abdbcaaadccdaadddadabadcaccdbcbacacaddbaacadbacbcdbdbabccbdbbcbbcaabdaccbbcaadbbcacacdd
+cdccdaccdacdcdccbcbacbbdbdc
+dbbcccadddcbadcdbabbdadadbbdcaacc
+dbdbcdadcdcaaabbdbadcaaddcdadbbdadccacccdddbddaaadacabdbd
+dccccbddabc
+aaaacbccbcaaabdaaacacbdddddcdcbdabbdbadadabcabdabddabdcdbd
+bbcadaccddcadaddbccccdaaccddbdadddaadcbdaaadacabbbacccacabbaccbcbbabaadabbdbabacbaccabdaabccadcddbbbbcc
+aadcaccabaabbccdaacdbaccdbbabbbcaababacadacacdcbcabbbdaadbdabadcaaab
+bdaadbddccddbdc
+dcbddcbadccdddcbcbbbcccdccbacaaaccccadcdcbabacdadcacbdbddddbccbadcacdacbbadabababbcacdbbbcdaddcbcdcdcbdcd
+adadccdccacaaadbacbbccabcbcbbdbbdcbddacdabdddcdbaddcdbbacdcaabacbacdcbcbdaddddbacbdbdadbacdcdadd
+bbbbabbcdbdcbccbbcdcddacacadcaccbabcbbab
+adbbccccbcbbdaabcabccdbdacbddbdadaacdbabddbadacdacbabbbcbbababdbabcbacadcbcdbbc
+adbbdabbcbdcdcbacbdbcacacacacbcdcaabbbcacacadabcdcabcbdccdbdadbacaacdaadc
+dabcdccdcacaacba
+acaabbdddaabdcadbbbaaacbababcbdddcddaddadcdccadbcaaaddccdaaacdbdbdbaaababadadbacbbacabcdcacabbcbabccba
+ddbabdacaabddabcbddbadabdbadbb
+dcdbdddcabcdcaadbcadbdbbdbbdabaddbacacbabcaacabbbadacdacbaddbadbdacbbcb
+caabbbcbbcdddadbadacccdcdadacacadcbccddabbdcbdccdabbacdcaaad
+cabcbbacadbbabbacbddaaadcdbcbdcdadbadadacccbdcdbbbb
+daaaaadadcbababdddabdaccbaaadccbdbcbabcacccdabccbdacddbcabdbdb
+ccaacaaccbdcaadacadacbbabddaaddcbdadcdcbddabaccdbcddadbdbbbccaadabadaabaacaacddccbaabdabbdadbd
+daaacbdbcadacaaacbbabbabcdddccdadddcbdcccbbdccbdbbbcbddbadabdacbdbabacacabbdbbaccdddcccbcb
+adbbaddaddabbabcddaaaaabadbdbcccbdbcddaba
+cddbdbcddbacbbbacddadadcbaacbbddacdadaaddcdabaadccdbcdadbccdaababaccdbabddcdbcacbadcbaccbd
+bbcbbdbbacdcb
+ddbcacdbddabdaadcbcbcaacbdabbdacdaadbaaddadcdadbabcdaacbdaaacccbabaaaccdabdbabaddacadddc
+abcdaacdacaaaadaddcbdddccaccacadbabddddaccabadbaddaacbaadaddddaaadbacbaaccacbbbbaaddbcdcabdcdaccdab
+adcdbadbcacbaadbcabcadaaccccaccbcdbbbccdaaadbdcdbcdacccabcccdcdcda
+ddddabdbaadcbbdbcccaddcdccaacacabcadbddbcdaabadabbdcadbaaaaabaabcaaacddabccdabcdcbacdabacdcbbbddddcbbbac
+dddcdcacaaddccadcddbcccdcdddbdbdcbacddcbcbdbddbaabddabbcddbcbbabccacccb
+badaaddadaacbbdabbdbabdaacdcbbadbcccbdaacbaabacababcbabcabdbcdccadbccccdccdbcdcdaccaccbcbcabdadadd
+dacbacaacbaaaaabcdadbdcccba
+cccbacdcdacbbccaccddabaddcacadcbccabbcaacbacabddcdcbbcbaabcd
+ababcabdddadbdbacbddadacacabaaaabbacaabcbdcadaaaadadacbbadda
+ddcbbaaddbdabccabaadacabdbcabdcbddbadacbbadddab
+bdcdacacadcaaaaabaddbbcacbcbbbddaaddddacbbbddbcdbcdaaaacaadbdbaaacbcbacbccddbbbdbcadcbbcdbdad
+dcbaaacabbbbcbaccabcdcccbbbbcadcdbacbdaaa
+cdcbdbacaddcbaddadbdcaaabdbdabacbcddcccabcaaaccabdccbcacadcdbbcbcdbbcccdacbcdadaaddcaacdca
+bcdcccadcadcbcddccbadbabbbcdbdcdcddabdddbdcdaababcadcdcabccaadcbbdddaabdbdddbc
+aabdaccbaddbbabcccdcdaadaddbccacbcdddbabcdcdbcadccdacdcbbddcbabcaccdbbbdaadddccdabbdacdccdacadcccadbadbcd
+bacdcdccaaacadcacccacbda
+ccbaabacbbadacbdadcacbaacdbdcbbccbcdbaadaddaabbbbbdcacccacc
+ccaccaaacdbdbcdbbaabdcddccadbabbdddcdcaa
+baabddbbbccaacaccdcdaaadaccbadcbadbccabccaabbccdcbbbbbbbbcacacaacdcbccabcbadcdaacdcbcdbbbccadccccdcbacccdc
+accbbadddbdcaaadcddbbcacbadabdbbcbdabdabacbdadccccabbdaaadbbcbacbccdabbbbbbaccdcbccabbbbdcbcbcddbbbdca
+bcdaccddcaddcdbacbbacaccbaddcddddbdbdabbcdccbaaacadbbcbbbdaabbcda
+abbadbcdcbaddcbdccaaadbbbddcacccbbdccadbacbccb
+cbacdbcaabaabadabddcccddcddcbbadabdbabdacbbdcdbbabdacbcbdbacdbbadcaabadbbdcdcabbbbbbbcabbbddadbaddccacbdc
+bcdddbcbcdadabbcbbbbadddaadbbaddacdbaddcaaac
+daddbdacaaddcacdbdadccdacdabccdcdabcbccaadacbddbadcbcbbcccd
+cdcccacaddcadbccabbccaddbddcdcadbaabdcabcdcbcdcbcdabddddbcbbdacdbdbabddaaddddabacccabbbbdccabacbc
+cbacddcadbcacaaaacdcaaabbddbcacbbdcdddbbccdccdbbdcabbcaabdccaadabddacdaccbddbcdaddaabcaaaacabcddcd
+caacadbbccadbcacbdaabadbcddbdddbabdcdaabcbababbcdbadbbbadddbbcccdadaaaddccaccbddbbacadbcdaccdbddbacdbddd
+ccdaacacbddcabbbdacaacdccadabbbddccbcbdadcdabccddaabbdaaccabcbbccbbaaadd
+cdacaddccccccbdbcdcbaccccdcaadddaacadcacbabdccabdacbbbdcbcadcbbcbaaaacbc
+bdbccbdbdcabadaddcccbdcabadcdbbbabbabcbccaacbac
+daccbcbccccdcadcdcdcabcbaabdccdccaacddcbbbaabbaadabddccacaaaadcacdadabcbbbcbbabbb
+bdbbbabcbadbcbacacdaccbcaadbacbacacbddaacadaaccaccaccdbbbdaabddabadbdbdbcbbcbabbb
+baabdbcccabdbddcbbcadadbdbdabadacbcccadbbc
+abaccdbdddcbcbbbbadddadbabadcdccbdbcabcacbcaccbdcdabacccbdadacbacdda
+108 29
+baabccacccacacbbabbcbcbcbbc
+abccbccbabbabbcbcbabcacccbccbbbaaabaacaccaacacbbbcbbccccabaccb
+cbbbbcacbbbbbaaacbaaaccccacccacabbabaaacaabbbcbbbbaababaaacacbabcabcbacccbbcbaa
+cccbbbbbbacbabaaabbbacbaacaccccbabccabaacbbccbbbabcbacabbaacbbcbacbbbbabacaabcaccbbab
+cabaccaabcaacbbbbcbabcbbcacccccaacaabcccabcbbcbabbbcccacacaacbaccbcccbaabbaabcbaaaababaacac
+bcccccbbcbcbbbbacc
+ccbabbbbbcbbbb
+ababbbbcacbcaac
+abbcbcabccbabbbbbccacbbbbcbccacacaaababcccbcbabbbaacbaab
+bcabcacbacbabbbabcbacaccbb
+abcaaaaabbcbabaaacaacabcbacaaabccc
+bacbbcbbccbaccbbccbbabbccabccacabbaacccbacbbabcabcbabccacabaacaccbacbacbbbaacaabcacbbbbb
+acacccbaacbcabcbbcbbbaabbcabaabbbbbbacbcaccbabbcabbbcaabacaabacbbaccaaaacbaccc
+caacbbaaccbbababaabcbabbcababcbcacbabcbbaabcbcbcbbcacccbbbcbbaabbbaabccbbcacccbcccaabacaccaac
+bcabbabacccbcacbbbbaa
+ccaabaaccabaabcbbcac
+abccacabaacaababccacabbbccbbaabacbbccbaaacbcbbabbabc
+abbaccbcaaccaabcbbcccbbaaaaccaaccbcbaacbcacbbbcaacabbccbaccbabababbacbaaabbcbbbaababaccbbbcbbabbaaaaabcbbc
+cabcabccaccbaabcaacabbaaccbbbcbbaaababcbabccbcbcca
+cacbcaacbcabbbcbccbccbccbccbabbcbbabaaacaaabbaacacbc
+bbacbaccacacaaacbabbbacbbcacacbacbbabccacaacbcccaaccbabcccbcacbabcbbbbabaccaccbabbabbcabbabbacb
+bbbaccbcbcaacbcbbabcbacbacababbcbcbacbbacbacabbcbbcabbabbaacbaaabcbccb
+bbaaabcaacbcaccbababcccbcbcaababbaabbaacccbaabbbaccccbac
+abaabbccaaacbbacbbcaabbaabccababaabaabbabcbbcbbbbccba
+bcabcbaaaacccccbaccabcabaacaccaaaabcbbcbbcbcabcbababaacbbcabcaababccbaababaccacababcabbacbaabaccacccccbca
+cbbbbbcbcabcbbcccaaccbacabcbccacaccabaabbbcbbbcbaca
+aaacaccbcaabccbabbbcacccacaccacabcacccacbbacbbbbbcabaacbbccbbacbbaabcbbaccaccbbbcaccbbaca
+cbaabcbbaacbbcbcabbbbaabcbbcbbccbcbaaabaacbababbaccbbc
+bcbbaacbbcbbbaaccaacbacbbaccabcccaacaaacabbbbcabaccabccabcccbabcbcacccbbabbbbcaacbcabccaacbabcaabbcbbaab
+cbcccbcabbbabbbcbbaacccaabbacabbccacccabacbbbbccabcbcbcbaabbbcaaaccaacabcabbcb
+aaaccbcbbcaaabbbbcabaaaacaabaacacabccacacacaacbcccc
+cacbccabbccccbbcbabacacabcacacccbbbbacbcabbcacbbbcbcbcabbccbcbcababaabccbabaccb
+bcccabbacccccbbcacc
+abacbcacabccbbabaacbccbacaccbcccabcacbbcbaccbcacbccbccabbbccaacaaabcbcccccababcbbaccaabcb
+abaaacbaacabbbcbbaabaaabcabccacbcbbcbacabbbcacbaaacbbabbbcccbcacacacbaaaaccc
+accacbbcbbbcaabbcaabaccbcacbcccbaabccbbcabbcacbaaabaabaacca
+cccaccbcabcaabcacbbbbaacabbabbbbcbaaaaca
+bcacbaaccaccaccbbaaccabbbbaabbbabbbaccacbaaabaccbabccabbbaacaaaaababcaccaababbbbbbbccbcabbaccbccbbbc
+ccaabaccccaaabbcbaacbbccbbbbbaacbcaacacaaaababaccbcbaccabbbbbbabccaaacbbbaaaabbbbbabcacabbcccbc
+ccbaaaaaaaabcbaacccabacabccbabaaabb
+caaabacabbbbbbbca
+aabcccabaabbaacbcccacccccbccaaaabaacbbacaabbaaccabccbcabbaaabbccbccbaabbbbbbbabcbacaccbacbaa
+ccbbcbacbcbabaabbaaaaacccaaacac
+abcabacabccccbaccccbcabacba
+aacaaabbbabcabccbcbbaaacccbbacbbccbbbbbbcabaaaacaccbacacbbaacbaacbbacacbcaacabcabcaabaccabbaaabcbccbcccacabac
+aabccbaabccaabacbcbabbaacccbccbbcbaaaacaabcbbbbaccbcccbcccabcabaacbabaaacbbcacbbbccba
+bcaabbcccaabcbccaacacccccacacacbbacaabacaaabacaccaacbccbccabbcccbabbbbbccabccaacacccbaccacbacbcabcaabcaaacaac
+cccbbbbacaaababbbbccaacaabaacbbcbcccabacabaacbabcbbccaccbaabbabaaacbacabbabbcbcbcc
+bcaacbbcbabccaacabaaccbbaababbbbccaacacabaacacacbbababbbccbabaacbbbacccbbcbbabcaca
+abacabacbcaabbacbaacaacaabacacbb
+cbbaaabbcabbaaaccaabbabccbccbabaabcaaca
+cbcbbbbacbbcacbbbacbacbca
+abacaabcbccabcbbbbccaaacbccbbccabbbbacbabcccbcbcbbbabacabcbcabccccbccbbccaaaacbacabcccccccabbbaaacab
+bccaaaabbcbbacaaac
+aaccacbabbababacbbccbbbbcccccaabacbaabbacbaababcbbabcacaac
+bacabaacbacbacababbbbbacbacbcbbcbaabbcabaaabaaaccbbbcbaacbbcaabcbbccbacbcacbacaccabbbba
+abbcaacaccacbbccacccabbbbbaaabbcaabaaaccabababcccaaccabbacaabbcacbaabbaabaac
+bbcbacbabbaccbacaacbbbbcacbbaacbccccbcabbaabcbbbacaaaccbbbabcaaab
+baacbbaacacccacccaacacbcabaabcbcbababacaacbbabcbbcabcccabcccbab
+cbaabbbcbbbccacbbaccaabcbbcbcbbababcabbaaaacbcbccbcccabbcabbaaccbcbaacacabccbaabccaaab
+cabbabccaaaabbbabacbccbabababbccacacabaacbbcbaaacbccbabaaacacabcccaaccccccbcabbacbacbabcaa
+bbcbbccaca
+cbbbcaabcbbbbbbabcbbcbbbbcccaccbbcaababcaaacbacbbccaccbbbbaabbbbbbbbcacbc
+acabbbbbacabbcccbcbbcbccbbcabccaacacbaacbabaccccabbcbcaccacacbabbababcaccba
+cbacbaaacbbabbabaacbbbbabbbcaacaaccaccacbccbcbacbbbcabcccaacbacbcbccabaaaa
+abbccbbbabbcaacbbaccccabcaacaaaabbba
+aabaacaaccbbcaacacbabbaaababbabbcbacbbccaacbaabbcabacbcabccc
+accbaaabbcbacbacccaccaacacccbaaabbbabcbcacaacbbbbaaaababbcbaaacccabaca
+abcabbcaccbcccabcaacccbbbbca
+bbaacabaccbcccccbaabccabcabbbacacbcccacbabcbcacabbcaacabbcabcab
+abcaacacccbbbbcccacabcbbbacbbbbabaccaccacaabacabaababbbaaabaaacbcbbbabcbaabbcabcaaacaccaccbaccbaaabbcacaaacac
+bababcacbcbabbaabbbabcbbccabccccccbbccbbcacccbbbcbacaba
+aacaccabbabaacbbaaaabaccbaaabacabbaccb
+ccabbabaccbacaaacccaccabccabb
+cbbaababacbbcbcbcabbbcccabaacbbcaaabaccaaabbabbaacaabbcbca
+cbbcbbbacaaabbbbacaacaacbcabacbabbcbaaabcaababcbbbcaaccbaacbcacbaccbbbaacbccbbbabaabcaccccccbabaa
+aaabaaaabaccccaacaacbbcacaccbabbcbbbbbbcaccabcacbbbacbbaccccbcaababccaaacaabbcbcbacaabbcabcbcbcacaabcbcababaa
+cbacbacccabcccbbaabbccccabb
+bacbabaaabaabcbcbacaabbcbcacbabaacbcabaabaaccabbabbcccccbbbabbcabcaaaabcaccaabcaccbbaabacbbaabacbaa
+ababacaacbccbabacabccbbaccaaacbabcccbcabaacbaabb
+accbbcbbbcbccaccbccbcabcaaabbbcbbccbbcabaccbcbbaabcbcacccaccacabacbcacacbacbccbabaacabaa
+bacccacacbbaabccbabccbaabccbbbacbbaccbccabcbcbaccaacaababacacabbaccabaabccacbcbcbccbacbaa
+cbaccbcacbaaabcacbcabaacabbbcaaccabbbabccbbbacaacbbcbaacbcbccacaccbabbccbcccbcbbbaabcbbcbccb
+caaacabcaacbaabcacabccacacbacaa
+cacaabaacaababaacbacacbbbcaa
+bbcaaabcbaacbbcbcccccbcbccacbacbcaaabbbbcbcabcca
+aaacbbaaaabaaabccaabbbcaacccababbaaabcaaabacccbcabccaabaabbbaccabbaacbbccaacaccaaacbababacbabccacacabbc
+ccabcbbbccacac
+cacccaccba
+aabccbabbbacccbbba
+baacbbbbcaccaccbbccaacabccbbbbccbcacbbcbbccbcabcacabcccbcaacabbbacc
+bbaccccaacbcbccbbcbccabcbccbcabbcbcaacccbcaaccaacbaacccbabbabbcaaa
+aacbaaccccbbbacabccccbaaabacccbcbcbabbbccbbcbbabbacbbcaabcacbbcccbbbabbaabcbcccabaaabbbbbb
+baacabccbaaaabbcbacbcbaaccaaabcabaacbcccabcccbcccabcbcccbabcbbacbbccaccacbcacbcbbcbabccaccaa
+aabaabbbaabbcbbabcbbbaaccbacbbaabbabb
+aaabbabbbacaaaaaacbaaac
+abcbbccbbbababacacbacabaaccccbcaabcbbbbbcbbccababbcbabcabacacababa
+abbcbbaccaaccaabacccbbcbcbbacacacabbcbcbcaccccaabacacacbabbcccccbaaaabccbba
+aabcbabcabababcbaabcbcacabcbbacaabbcabbcabcccccbccbbbc
+cabbcabacaaabbcbbcacaacaaccabccacbcccaccabaccaacaccbbacacccbacba
+aabccccbaaaacbacabccbabbccbbcacabbaabacbacccccac
+accbaacacabbbabaaabbabbcccbccbccacacaabaccaccaccbcbbcabccaaacbbababccbbabbbcbacbaccbabbaabaccabbcbb
+cabbbbcbaaabcccca
+cbccabaccaccbabbaab
+bacacccacbacbcbcbcbbbcacbabbbbbbcbbababaabcacacacbcaaaacbcabbbcbabaaacaaacaabbacabababbbbcbbaabcbbbcabaab
+baacbabbbcbbcaaaabccaaaaccabbcaaacbcaacaaabbaab
+bcbbabccbbbccbcbbccbccbabaacaaacbbaccccaabbbbaaaccbaacbabbccbaaacbbacbccabccccaacbacaabcbcbaacaacaccbabcc
+aababccbcaabccccaaabacbacaaaccabacabccaccbbccccac
+280 54
+bcbaabcbcaabcacbacbcbbbbcbabbacccaaaacbbbccaabccbcacaacabcbcababcacabaabcaaccbabcbaaaccbabbccaaabaacbbccbb
+ccaacbcabaacabcaaaaacccabacccccbcabcacbbaaaccb
+abbaaaababcabccbabccccabbbbabaacccaacbabcaaccbcbccabaacbbcaabbaacaabbcbabaaba
+ababbabaccbccbbaabbbbbbbbaabbabaa
+babacbabcabbbacbbaacababacacaacbbbcbabcccbccacbaabbccccbaabccabbbbbacacacbcbbbbbaabab
+bacaacbcbbaabaccbabaccbcbcbcbcabcabcccbcbaccaacbbbacbbcbbbbacbaacaccaabcccaccaaab
+acacbaaaaaaacbcccbcabbcccbcabccaccabaca
+caabccabbacbbacacbabbccccacacbcbccabbbaacbaabccabbabccc
+bacaacccbccccbcbcbbabcbaabbcaaacabbbbaabccaaaabacc
+ccbabcbbcacacbbbbcbaabaacaccbcabbaaccbccbcabacbcacbacaabbaababacbbacbcbccbcabbcbbbcbbbcbbcbbbcaabcacc
+abccacbacbbacacbbcacbbbcbacacbcbcccbaabcccacaaac
+ccbacbacbabcabcbbcacbaabcbabbabbbacbccbabaaacbcbabbbbacccabcbaabbcabaacaccccbcbcabacbbbcbacccbcaac
+bcabcbbaccaaaaaabcbacaacbabaababcccabbac
+cabcbcaaaabbaccbbcbbccbaacabccaaaabbcacbaacccacaacbcbcabcaababcacbabbaabbbcbabbba
+cabbbaabccaacbcccbaacacbaabacabbcbbaac
+ccbbaccabbcacaccbacbaaccabbabbba
+aaccabcaacba
+abbacabcabbaacaccccababcbcccacbcbacaacccaacbcbbcbbccbacbabcabcaccbcbacaacbc
+babbbcbaaabcbbcbaaaccacacbbbbbbc
+babcabccbababcbcbaacbcabcbaccbcbccaacbcbccaccacbcccabcbbcabaaabbccaabaccabbbaabccbaca
+baaaaccbcaababaaabbacbcaabccabc
+bcccbacaacabaaacabbaaccccaccacbaacbbacabcaabcaac
+acbccbaabcbcabacaaccbbccbaaaaabaacbbbbacaaabbaccaccabcacaabaacbcabccabbcaccbcccacabaccabcaacaaca
+ccbacbcabaaaacaababcbbbccbbbbbcaccabcabacaabbccccbbccbbbbcbabccaabcbcbbccacbccbbbccbaabbbb
+cacababbccaaaaaabaacbbcaaaaaabaccaccbbcbccabaaaacbbcaaaccbcccb
+ccbbabbcacaaaaacababacbcbaacacbbbbacbcabcbccbabcbacccabcbbcbbbcbcbcaababc
+bacaabcacbacbbabcabbccacabcaabccbcaaacbcaaaaccccbabcccaabbcccaaacbcacbcbabcbbabbcacbccbbccbbacbabbbbaab
+acbcbcababaccabbabacccaabccbbbaabacbabacabcacbcccacabaaabbbb
+abacaabccbbbbcbacacbaabbcacbabcccbabaccccbabacabbabbabbbcaabccbab
+aacabcbbcabcbabacaabbbacbbcacccaaacbbacbacbbcbcabba
+accacbbccabbbccacacbbbbbabbaaabbbbaccaccabbbbacacccabc
+acbbbcbaaabababbbbccaaccabbaacbbacbabccabbbbaccbccccbbc
+abbccabbcccaaaaaabcbcbb
+acbacccacaabcacccbaaababcaccabcbabcbbcbacbacccaaacbcbcbbbbababaaabaccaacccccacaccbcccbacbbabccca
+acccbbcbbbbbcbbcbbaabcabcc
+babcccbaccbcbaababbbcccaabcacababbbbbaacaccaaba
+acacabbaabcbacaccacc
+abccacabbbcacbcabbbabbbcbacacbaacbcbacbbcababcaccccaabcbaaaabcaab
+ccccaaaaabbcaabaacaaaabaabcbcbaacbbbacaacbacacbabacbcb
+cbcaacbcbababaabcaaccbaccaacacccccaabacbbbaaabbabcbbabbabbbaccbbabcbcaaaaacbcaacbbccccc
+ccaccccacaaacccccabacbabcabbccbbccbccacaabaacacbccbccacababcbbbcabcaaabcbccabccbacccbcabcacbababbbbccac
+abbacababacbccabcbcabcabaabaccbabaccccbac
+ccbbcababbbaabbaccbcbbabbccbbbbbabaacbcabcacccbbacabbacacacacab
+ccabacbaacccaacaacbcbabcbbaccacabbcaabcaccbbaaaccacabcbcbccc
+abcccbcbcacbcbcbacbaaaabacaabbbcabccaabaccacabacbcccaaabbccbcccacbabcabaaacbbbbaccccacbbaccbaabbbbbbbcba
+abbaacabacbaaacbacacc
+caaabcbbabacac
+aabcbcaabbbacacccbaccabaaaacbcbab
+aacbacabbaabbbbbaabcaaaabbbcabcbbaca
+aaacaacabcacbcacccabbacaabacacbaaabaacbacbbcbbacbaccacbcabbabaacbaaaacaacbcbb
+caaabcabbcaabcbbcbabaaaccbbbbaacccbcbccbabaa
+ccccbcabbaaccbbccaababbccacbaabbbaaccbcabbabbbacababccbcbbcbcbacbbbbaaacbaaaaaabcbacaccbbbbaaaaacabb
+acaabaaccbbcaabbbcbcaaccaccacbcaabbbbacacbccaaacbbcbbbaccc
+ccccacbabaaccabbbabc
+accacccacaaabbaaaaabcccaaaacaacccacaaaca
+bccabbaacbbbccca
+babbbabcabbbcababaccbccbbaaccbaaacccbcacbab
+bbabaaacaabcaaaaaababccabaaaababcacaaabbbacb
+cabbccbaaabbaabcabcabbccaacbaabcbbcccbcaaaababbbbcbccbbaabacbcbaabcbabacaabaaccabbbacabccabcabcaccbb
+abacccbcabbcaaccbbbcaacaabbacaabbacbacbbcccbbcccbaabbcbcaaaccbbbcbbabbccaabccbbbacabbaacbccbbaaacccbcbabcc
+cbcbcbabbbbbcccbbabacabc
+cabcabbcabcbbbcabccaccaaaaabcbabaabbbcaccbcabaccaacabbbaabaccabacc
+cbccabbbcbccaaaabacbabcbbbcacbbacabcaaccacbbacaabbaabbbabbcccacbaacccacbabbcbbcaccaabab
+abaccbacccccbcbbca
+aaaccbabbcbacccbbcbacbbcacccacbbbbbcacba
+bbabbbacaccabbaaabccaccbbabbbcbacaacbcaccccbababaccabbcaacabbbcbccabcccbabbbbbababaacbccbbcacbacbbaa
+cabcaababccccbacacabbbaacbbaaabaacacccbcbbbbaacaccbabbcaacaaabacbcccbcccc
+bcbbcbcabc
+cabacacbacbcbcbabbcbcbbbaabacaacacacaaaccabbbcbccbacaccbabbbccbaababcaaaaaacbacc
+bcbbbcbbbabcaabacabacbaccaccbacbb
+bbaaacaabaabcbccbcbbccccccbbcbbbaccbcacbabbaccbbacbbcaca
+acbabbcbacbabbc
+acacababaaaaabcacaacccaacbacbcacaacacacccabbbaccaabccabbcbbccccaacbaabbaaaa
+bcacbacababcbccbabaababcbbcaccbccaaabbccacaaabcccbbaaabacbbcaccbababcccbabbbcbcbacaaacaacbbcbbbcaaaccccb
+cbabccabbcacbbaaabaaaabbccabccabccaccabbbcccaabcbaca
+bbcaabaabcacaccccbaacabacaabaacaacbbacccaccccbaacbaabccccaaccbbaccabbbaaaaa
+aaacaabbaacaccbaaccbabbccccabbcbbaaabacbaccbbccbcabbccaaaabacbaccccc
+aaaaacbcaacaabbbaabcbcabbcbbabbbaacbcacabbbbccacacaabbaaccbbbbbbacaacaac
+bbbaabcaabccbaabbbaabbabacbcccbabccccaabbcbbcabaccbaaabbbbcbbcbbcacaccabccbb
+cacbacccccbbcbacbcbccbaabaaababcbabbbcbbcccbcabbcabccbbabacaaaccaccbaabccacacacccacbcabbcabbcbacbccccaccacb
+cbbcaabbbabaccabacbbbcbcabcabccccccacbabbaabaaacaabbcbaacabbacabcacccbcaababbbcaccbacccacbaccbbbabbcac
+aaacababcbbbabcbbcacbcabcbbaccbcbbaababcabaabbbaaccabcbacaccacbaccccaccababccaccaccbbcbaacbc
+cbcbcbcbcabcbaaabbbcbabcbcabbacc
+bccbaabcababbbbaaabcacccacabcccccbbbaabbaabbbabaabcabcbcacaabcbbcabacccac
+cbbcaababbaabcbcbaaacbcccababbcccbccbbbbbcacabcbccbcbccbbccbcaabbbacbbbbaaaaccccbabbbabaaacaacaa
+bcbababaabcbcacabbbaaacabcbaabccbccccbaccbbabcb
+cabaaaacbbaccaaccacbbaacacabcaccacbc
+cbbbacccabccaaacbcabc
+bcbcacbacaabbbacaacbacbcaacbaacaaca
+aaabaacaabcccabbaabaaccbacbcaccccbcabbacaabcaacabbccccc
+acbaabbccbaacaacbcbabbccccaabaacbbbcbcaaabccbbbaccaccabaaabccaacbcbabcbbabbaabccaacaaaabcabccbcacabcbacabcac
+babcbaaaabccbcbccbccabcacbaccbababbbbbabccbccbbabbaaacbb
+bbbccbbaaaaccbbaaabaccacaabacabcccbabcbabaababaabbbabacacbacabccaba
+babcaaccaaccaaabcaaaaababacbcbcbbbbcaccbbcacabcacabaaaaabbbbbbbbabacba
+acabcbaaaacb
+abccbaaacbcacbaacbacbcbaaabcaccacbbccbbccabcaaabbbccc
+cacabbbcaacacbcacabcabcbbabb
+cbbacacacabbaabcaaabbabbbccacacbbcbbbcbabbaabcbbcacbabacbacbbbbabbcaacacabaab
+bcabacbcacabcaacbcbabcccbabbcacabbbcbbcbcabcbcbc
+cbcbbcccbacbbbacaa
+aaabcabacbcaaacaaabacbbcabacbabaabcac
+bcacbbbbcacaaacabacbaaaabccabbbabcacacaaabcacabcbaabaabcbbbbabbcbacccbcbaabcaccbababaabababcbbbbcbabbbcaaccb
+cacbcacbbccabaaacccaabcccaaaaaaaaacbbbbacbbccabbbcbacbbccca
+cccaaabaaabaccacbacbc
+cabbcbacbabaaccaacccabcbaacababbbcbcbbaabbcabacbaacccccbcabbcaaccabcbccacacaaabcacbbccb
+aabccaaaccbbabccccacbcbcbbabbbcccc
+bccaabbbbcabcabaabcbbcbcaacabbcccbccbccbbbbaccabcacbaabbbcc
+aabcbbbabcaabbcabacacccaabccbcccbbccabbbbacccbbbbbbabbaabbbcbabaacaabaccacabbaaababcaa
+aaaacacabccbbaaaaaabccbbaabccbcbabbcbbabcbaaababaacbabbbcabbbabcaacbbcbaabbb
+bbacbcbaaacbbcbcabbbbbaaaacacabacccccbcbcbbaccccb
+cbacaccaacccabbbbbbcbccccccacabbbcc
+abcbacaaacbccbbabbbbcbbcbaccacbbacabbacccbacacaabcaccababcbcbcbabbaabcca
+caccaaabcacacababcbaaccaaabbabaccbaaaababbacaaacacacacbccbcbacbaabcb
+bcccacaabbccbcaaacccbcacaabccbacbcbbbbbabbabaccaaabbcabaacbacaaacbccbabbbcbbccbaacbba
+abcabbbcccaacacaabcabccacccbbbaccaacbacabaccbbcbbccbcccccbbbbbaaabba
+acaaababacacbcbcabaaabacbbccbbbaabaacaaacabcbbacccacccaba
+ccbbbaaabbbcbbcbababacccbbbbacccabacaabcbcacabbaabacbcaacbbbabbcaccabcabcc
+acbccacacacababaccaaabcccbcaacb
+abaccbacbccaccbaacaccccabaaacc
+ccaccacbccbbbbcbccaacccccacac
+abbaccbbbcaccababbbbcbacaaccbbaca
+baabcacbccaaaabbaabbbbababacaacccbacbbcbcabac
+aacaaabcbbccccbcccbacbaabbaaabbacbcbabcccbaccbbaacbccaacbbc
+bccbbaabaabbaabcccaaaabbccbccccbaabcccaaaabcbbcabaaccbbba
+cbaabcaacbcbcaccabaabacabbcacbbbbabcaabbbbbcbaaaabbb
+bbbbaccccbbaacbaacacccbaaa
+bcbacabbcbabcbbacababbbcccbcbbcbabcacabbccaaababbbaaccacbaacacbcbcaabbabac
+abacbacacaacccbcbbbcabbbabbcacbacbaacababcccacaa
+aabcccbaacbabaabaccbccbbc
+acabcacabaabacaacaaccabacabcbaabbcbbcabaabcbacacbaabcababccabbabccaaccaababaabc
+bbcbcbaacbaaaaacbcbbaccaacbcbabacbabbcbbbccbbcaabccacbaaacbbcbbabbbbaaacbbbbbbbacaabab
+caabbabcccabaaacbabcbbbaaacbcabacaabaabacabcbabccacaaccbaabaabaaccbbbccbaabc
+abcbbbcaabbabbcacbbbabababaaabaababcabcacaccccabcbcbcaacbaacbaccaaabccaac
+cacbaaccbbaabccccaccabaacccbbabcbbbbaccbccacbabaaabcbbaaacbcccaabcbbbccccbac
+abbccbbaabbbcbbacbacaabcbbabbccbbbcbbaaacabbbaacbbcaabbcbaccbbacbacaaacbcacbcababacacaabcab
+babacacccabaacacbcbcbcbccacacaabccbcccbbcbababacbaccbbbcabbaaccaaacbbaabaaccccaccabababacbaccababcca
+baaacbaccaacacaabcbccabbabaaccacbcabbbacaacbbacbabbcbaaabaabbaabcbaca
+bcbaaaaabbacbaabacccaabbcaccaccbbcbaabccbbbccacbbabbabacbbcbacbbcaabcbbbbbbbaaacabb
+abcbaaabccbbccbbcaaaacbabacba
+bcaaacabaacacbcbca
+bbbabbacaaabccbabcbbabbbbbcacbacbacbbcbcbcaaccaac
+bcacbcbaccbcbabbaabbbaab
+abacaccbacaaaabaabbccaabacabbbaacbccbacbbacccaaccbabccccbbaabaaccaaaabab
+aabccaacacb
+bbcacbacabacacbcbcbcacaacab
+aacaccccabcccbcbbbbccbabaacbaccaabcaacaaccabbabcbabbbcbbbaaacccbcaabbabccccbcabacbccbbbbacabacbbb
+bacbcababcaacbccc
+aababbccbcabbcabbccbbbbccaaabbbccbbcbaba
+bccccbbaabcccbaabcbcbbabbccbaacbaccbcacbabbaabbccabbacacaaacbcbaaaabbcacbbaaabaacbcbbaab
+ccbccaccbaabccbbabbacbbbcbbcbaacaabcaaacbbcabbaacabaacacabccbcccabacabaccaaccbbbaaabaabcaaaaac
+bbcbbcababbccbaacacacbccbacccab
+ccababbabaccbabbabbcbbcaabcbbaaaa
+acaaaabcbcabcbaacabcccbabbccac
+ccbbcbcbcbcaccaacbabaaabaacaabcbbabbbbbc
+cbabcaccbaaabacabacacbabc
+acaaccccbaabbcacaccbbbbcbcaaccabaabbbcbbbbbccaaabbccbccaccacabaaaaababcaccabccbabbacb
+acaacbccccbccbcaaaaaccabacbabbbbccacabcbabbcccbbabbabbaacabacabaacbcaccabbbcbaccbbbbacbbbcbaaabaca
+ababccbbccbcccbbacaccbcccbcaabbabcccbcbbcaabcabcaacabcccccababcbcc
+cabacabacacbcbbbccbacc
+bbaccbaabbacaaaababcbbc
+ccbccbababbccbbbbacbcbbcaabbcaccccbcaacabbacbbbababbcca
+cabcbaccbaababcacbbbabcacbbabaabcccbcbaabaabcacccccacccabaacaabbbccaaaacbaaaacabbcaccaaabaaacaaa
+abbabcbaaacbbbbbacbcbaabccbaababbbbbbbbcbaacbacabcaacccccbacabbbb
+ccbbaccacbbbccabcbcbaacaacbc
+ccbbbaacababaaacbbbbabacaaabcbaabaaacccbbccca
+bbbbbabaaacccbaaabccaabcaccabbabbabcaccbcacaacacacaabaabbbcacacbcacabcbcaccbabbbc
+bbaabacabaabcaacbabcccaacaaacbabccaacccccccccbccaabbacabccabcbaacbcbb
+aaccccabacbcaacababcaccacacbbabbcbcbbaabbbcbbaac
+bbccbcbccaaacaaaaccc
+cccaacbcacbbaaccabaababacaaccabaccccabbacb
+bbcacabccbbaabbbabcaccabacacbcbbcaccbcaabbbbcbbabccacccbbababcbccbbbaccbbccaabcaaccccaa
+cbabbacaabbccabcbcaaabbbcbbabbbbbcaabbbabaababcaabaababcccbcaabaccabbaabbababbbaaaaaabacacabcccbaaa
+bacbabcbcccbacbbbcbcaaacaaabbccaa
+bbccbaacbcbccb
+cbccccacaaaacbcaaccbcbbbcbabaacbabbcbcaaccacbbcaabcaac
+cacacccccccccbcccacacacbbcaccccaacaababccbabcabccaabcabcbcbcaccccbacbcacbcabcaabcabacacacaaccbabbbb
+bbcacabaaabcccbabbcbcccbbbaccaabbaaaccacaaabbcbbc
+bcbcabaacbcaaabcbaccaccccabbaaabcabbacbabbabbaaacacba
+aaacbbbbabaacbaabccbbcaccaaacabbbababcbabbbbbbacbbabccbacbccababaccca
+acacbaabbcbaaaaabccbcbbabcccbcabbbcbbbccbbcbbaaccabcbaccbccccbbccbcacabacab
+cbcbabbaaccccbabaabbbcacacbcabaaabbababbccbbbaababbbbbccbccbcaaacbbcacbcccaaacabcacbabaaacaccbcbcbabaacaacccc
+bcbbbccabaaaaaccaccccccabacabccbcbaaabcabcabccbbcbabcaabcccabccaa
+aabcbbbcabacbaacbccbaaacbacbbaabacbbccccccbaabbbacabbbcabbacabaacccccccc
+aabaabbbacccbca
+babcccbccacaacbbccabaabacbaabbacbbbcbbbaccbbacbcbaaaaaaccbabcabbabccabaacbaabaaca
+abbbabaaabbacaaabbbcabcbcbbbcbbc
+acbbcabbbcabcacbaaccaabcbcababcbcbbbbacaabbbbabcabbacbbabcbacaabcacbbbcccbcabb
+ababcaabbcacbaaaabab
+caaacabaaaabbabcaa
+acbbbbbabaacbcbbbcbababccabccaabcaaaccccabccbabcabbbbbbbbaccaaaccbbcaaccccaccabccbbccccccaccbccbacbca
+cbacabacbccbcccc
+bacaaacbabacbcbcbbaacbcaaacbcbacabcaabaabbcababcaabaacacabbabbbaccaaaaaaa
+bccababaacbccababbccbbaaabbaabababaccbbaccbbabcccccc
+ccbacbbaaaacbbcbccbcaabbbaaabbcbbbaaaaccabbbabbbccbbbaccaa
+baaaccbccbcbacaaababbcabbcbcbaccbbbabbcc
+abbcaacbbabbbaabbcaabcbcccbcbcccaaccbbabbbcacaabbcaabbbbaacbbcbbcaabaccacacbabcacbb
+abbbbcbbbbaacacabcccbcbabbc
+bcaccccacabaacabaccb
+cabbbcbaabaacacba
+bcccabcaaccaccaabbcbbabaababcaaaacaabaaaccaaaabcbcaacbbcbacaacbaaaacbabcababaab
+aaaabcabcaabbacabaaccababbbccababbccccbbcacccaacaaaaabbcaccaaccabcaa
+cbbbbbabccbcbaaaabbbbaaabbabcbaabbccbabcbaaacbbaccbabcaabcaaaaaabcaacaabacaaacacbb
+bcbbbaccaa
+babcacbacacaaaacbccaaacccbaacaacbccbcacbcbbcaaabacabcaccbbcbbacbbcaacaccaabbcacbccacaca
+cbbcbcaaaa
+bbccaabaccbacbbcaacacbabaaaaaccbbcccababaccbccabbbcacaaabbbabaacc
+cccacaabbcbacbacbacacccaacabbbbbcbbabbbaa
+bacaccaababaaabacabbccaccaabbcabcbbbabaaacac
+cacbbccbcaccbabacccabccabbbbabaaaaaacaccbacaccccbccbacaccbcbabbca
+bccbbcacbbbbaaa
+cbbbabacbccacabbabaaabbaabbaa
+acaacbaabcaacbccabcbbbaaabbcccacaacb
+acccccbbbbcbbaabbacbcbcbccc
+acccaabaababacac
+cabbcbaacabcacaacbacacbcacccaaccbbcccaccaccbababbabcbabcacacbbccabccacbbcabbbb
+abbabbabcaccacccabbbacacaacacbcbabcbccabcaa
+ccabcbcaaacaaaabbcabcbaccabcbbbbabbaaabccbaacabacabccaacbcbbbbccbcccabcbcccbbccbbbbccbbcbacbacbcabcccbbcc
+aaacbabababacbacabbcbaacacbaabbccbacbcaaaaacccccbabaabbbaaca
+ccbabaccacababbaabbccbcbbbcbaacabcbccbabcbbcccb
+cabaabccababcbbabbbaabcaaccbcc
+baaaccbbaaacabbacabcbbabaaccabcb
+cbcabacbcccbbaacaaccacbabcaccaccbaacabbbacacabbcabbcaaacbaccccbcbacccbbcacca
+acbbcbbcbbacbacbaaccbaacba
+caaccaaacbabacbcaabbbbacababbbabbacacacaaaaacbbbbbccabab
+baaabacacbcbcbaccacbcbacaaaacbccccbccaacbaccccbaacbacbccccbcabbcbbbccbcbcacaacabcaaabacacbababaabaacccbaa
+abbcbbabbcaacbbbcbcbccbabcacbbcbb
+bcbaaabbcacccaccbbbabcaaccbcbbcaabbbccabaacbaaabaccbcbcbcaacaccbaacabaabbcbcaabcabcccbcbbabcabaaaacaacb
+aacbaabbcbacbabaaaaabaacacaaaaaccaabccba
+abaacbcccbbaabaaaaccbabbaaaabcbbacbbccccbaccaababccaccccaaababbacbc
+aabacccacbbbcbbbcccaccbccbccbbaba
+ccaccacbcbccbbaacbbbcbcccacccacbbcabacabaaccbbbccacbccabacbacccbcbbcccbacbbbbcabc
+bacbbabcbacaaaabacacaaccbaaacabbbcbcbbcabbbaa
+bbabccabcccbbccbcacbcbcabacbabbabcbbbcbbbacacbbcccaaccacbcbbcbabacabbaccbacbcacbacbcacababcabacacbcbbcaab
+acccbcbaaccccbaaaabbcaaaabbcaabaaaabbabccccabaccaabacbcabbaacbacbbacbabcababcaccbcacabaa
+abbbbcccacbcbaa
+ccbabaabbccbabcbabacacaacbbbcaabaacaabaaaccaacbacacacacccabcacaabb
+caccacaacbcccabcbacbcaaabbccaacccb
+baaabcbcbacbccaacabaabcbbccbbaabccabbbbbbacccbcbabcacbcabcccbcbaaacccacbcbaacccbabcacacaababaccbbaccbcacabb
+abacbabcccabcbabcacccbacbcaabbbcaabbccababbaacbcaaabccccccacaabaaccabaacccabcabaaacaacabcbcbcbaabbaabcbbccc
+ccaaaaaabaacabcccb
+cabbbcacbaaccccbccbbcabccb
+bacbbcaabbccccaacbaccabcbbacbabaabbcbcbacbbbcabacbbca
+bccbaaabcabbccacccbaabaababbaaacababccacabb
+bccccbccbcaacacacbaacccbbababcccc
+aabbacccccbbbbabbaaaabacaccccacabaaababcaababba
+abaababaabbcaaaaccacaccbcbaaccaaacbbbaacabbccbababbbcbcccaccacbaabcbaaaaabaabca
+babbbabbcbcaabaacbcbcaaccbbccbaaabbcbcaacccccbacbabbcbbacccaabacbccaabcaaaabacaacacaacacbbcccbbcb
+baccaaaababacabacacbbcbacaabcacbbaaaaccbabbbbcacbbcacabcabcacbbcbbacabbab
+caccbbccacbcacbcbcbbcbbababacacbbabcbccbcbcbcabccbbbabbbabbbccca
+cbbcacccbabccabbbbbaccbcccbcabbcbabcacbcacbaaccabcacacaabacacacbaaaabbabc
+caacabbcabcccacccbacbaabababbcbabbbccabcbccbaaabbbccbabaacccbbbaaabcbabaaccabbcbacacccbacbacbbcaaccccccacbca
+acacbaaacccabcabaaacabacbacabcbcbabbbaab
+cbccccccbcabcbccaacacbbbcaabcbcabbcbcaccacccbaaaacbbcbcbacbbcabcaaaccbccabccccccbbcbcbaaccbaaaacbbbbacaacbcb
+abcbacbacccacbbbbccacbcbcccababccbabacbbcccacbabaccba
+bcccaacacbcbabbabbbbaabaaaaccbbbbbcaccabbbcaacbbaccacaccacccaac
+bbacbacbbcabbaaaacbbc
+caabaababbbbcbaacaaababccbbccbcaabacbabacbaaacbbbbcacabacacaccbbcbcaccbcbcacc
+bbcbcbcbbcbcbabbccacbccbcccaacabacbcbcaccbbcaacaababcbcbcaabaccacbcabcaaabbbbaacabbcbabcbcaabcabbabbababb
+abcabbcaacbac
+aaccaacacaaabcaaca
+aaaabaabcacbacaacabbababacbaca
+babcbbcccbcaabacbbbcccbcbaaabababcacaabbbbbccbbbbaaabbbbccaacbbcb
+bbbcbaccaababbaacccbbaccabccbbcccaabacbabcaacbcbaabcbbabcaaaabbaabaacbcbaaabbbacccaccabcacbcbaccba
+abcccbbaaacbcabbabbbcaccbacaaabbbabbcccbbcccacbaaacabbacaccb
+bcaabaaabbcbbbbaacaaabccabbacbbacbbcaccbaaabbacaaccbbb
+bcbaacaabbcbcbcaccccbbccbbbbaccaacbabbabcbcbbaccccacaa
+babbabcbccbccaaccaacbacbcacbcacaa
+bbaaccbaccbaaabcccbcbbaccacaccabccacacaaaacbbbbacacccbccccaaabaaaaabacbcaaccabcccbbaaabcc
+baccbacbcabaaaaabcacabcccbcb
+bbbbbacccaababcbcbabaacabbccac
+acbbcaaabbcacbababacababbbcabcbcbaabbbababbbcbbcbbbaaaacbacacbbacc
+cbcacbbbbabcbacabbcacaabab
+caccaabbcacbcabcabbcabbbcccbabcab
+caabcbccbcbacbaaaabcccabbabbaababcabcbbbbaacaccbacccbabccacaabaacbbbacababbcacbcaccb
+cbcacaababaaaaabbbcacaaabacaccacacbbcaabaccbbbcabbcccabbbababbacacbccacabcbc
+ccaacaabcabaaacabbcbaacbcccccbcabacbbcacccccbcabbccbbbbbabacabbcbbccbcbbcaaa
+bbcbaccacaaacbabcbbcacbcbbbbacbbaaabbbccbabbbabaaa
+aaabaabcaaccabccabbccbaabbaabaacaccbabcabaacbbcacbcccabbbbcacaccbaccacaabcbcbccaaccaabacaacbcbabaabac
+acacaaccacacccababab
+bbccbbaccbbbccbccbbacbaaabbcbbabbcbcccaaaacaacbcacacaabbaccbccbbc
+266 263
+aaaabbbbaaabaaaabbaaaababbbabaabbbaababbababbbbbaabababbaabbabbaa
+aabbabaabaabbababbaabaaabaa
+aababbaaabbbababbbbbbbbaabaababba
+bbbaaaaabbbabbbbbaabbbabbabbaabaaaabababbbbbbaabbabbbaabbbbabbababbaababbbbbb
+bbabaabaabbbaababbabababaaaaabbabbabbbbbbaaabababbbaabbaabaabbabbaaababbabab
+bababaaaaaabbaabaaabbaaababbaabbbabbabbaabbabababbbabbbbbabbbabbabb
+abbaababbabbbaabbababbabbaaabaaaaaaabbaabbbaabbabbbbabbaabab
+aaabbbababbaabbaabbaababaabaababbbaabbabababababaaaababbaaa
+baaaaabaaa
+bababbbaabbbbb
+bbabababaabbaabbbabaaabbbbaabbabaabbbabababbb
+bbaabbbbbbbababaabbbbbbabaabbbaaaaabababaaabaaaaabaaabbbabbbaaabbaabbabbbabaabbaaabbbaababbabaaabbaaa
+bbabaaaababaaaaaaabbabbbbabaaabbbabaaaaabaaabbabbaabbbbabbababaababbaabaaabaab
+aabbabbbabaabbbbbbaabbbbbabababaaabbbaabbabbaaaaaabbaabbbbaabbabababbaabaaaaaabaabaabbbbbab
+baabaaaabbabbbaba
+ababaabaaaaabaababaabbbbbbaabaababaaaaabbaaabbbbbaaa
+abaaaaaaabaabbbabbabaabbbaaaaabbababbaabbababbbbbabbbaabbbbbaaababbbabbabbbbbbbbbabbaaaabaabaaababbbbaab
+babbabbabbaaabaaaabbbbaaaaaabaaabaaaababbbaaabbbabaabaaaabababa
+aaaabaabbabbabbbbabaabbbbaaaabbbbbbabbababbbbaaabbaaabbbbaabaabbbababaabaaabbbabbaabbbababbbaababbabbbbabaaa
+aababababbabbbbabaaabbbbbabaaabaabbbaababaabaaaabbbbbbabbaaabab
+bbaaaababbabbbaaaababa
+bbaabbbbabbabbaabbbbaaaabbbbbaaaabaaaaaaabaabbabbbaaaaaaa
+bababbbababab
+bbbabbabbabaaaaababbaaabbbabbaabaaaaaaaaabbbbabbabbaabbaabbbababbabaabaababbbbbabaabbaabbbbba
+baaaaaaaabbababbbbabbab
+baabbabbbabbaabbbbaaaababaabaabbbbababaaaaababbbabaabaabbbaaabbbbabbaabaabbaabbaaabbbbbbaabbabaaababbbab
+babaaababbbbbbaaaaaaabbbbbaaabbbabbbbbabbbabaabbaabbbaaabbbabaabbbbabbaabbaabbabbbb
+baaaababbaaababbba
+babbabaaaaaabbabbaaaababbaabaababababbabaaabaaababbabaabbaab
+baabbbbbbaaababbbabaaaababaabbbabbaabbabbbbbaababbababababaaaaaabbbaabbbbbaabaaaabaaaaaabbbbabaabababaaaaaaab
+baaababaabbbaaaaababaabbabaabaaabba
+bbbaabbbbbbbbaaaaaaabaabababbabbbbbbbbbabaababaaabbbbaabbbaaabbaabbbbabaaabbbbbabbbbaaaabbbaaaaaabbabbaba
+baaaabababaabbbabbabaaaaaaaabaaaabbaaaaaaaaabbbabbaaabbbbbbbaababbbaaabbabbaabaabaabbabaaabbbbbaababbaabbaa
+baabbbbabb
+abaaabbababbbabbabbbaabbbabbaabbabaaababbaaaabaaabbbabababbbabaabbbbbabbbbaaaabaabbabb
+aaaabbabaabaaabbaababbb
+babbbaababbabababbaaabbbbbbabaaaaaaaabbabbabbbbabbbababbabaaaaaaaaabbaabaabbaabbbaabaaabbababaaaaaabaabbbaabb
+bbabbbbababaaaaabaabbbbaabaaaaaaba
+aababaaaabbabbaababbbbaabbababbaabaaaabbbbabbbbabaaabba
+abbaaaababbbaabaaabaaaaabababbbabbbbbaabbaabaaaaaabababbbbbaaaabaababaaabbaabaababbabaaabbaaaaabbbabaa
+aabbbbaaaabbaaaaaabbabaaaababbaab
+aabbaabbaabaabababbbbbabababbbbaa
+abbbabbabbbaabbbaabaaabbabbbabbbbbabaabaaaaabbaabbbbbababaababbbbaaaabbabababaaaaabbaaaa
+aabaababaaaabaaaaabaaaabaababbaabbbabaabbbbbbbbbbaaba
+aabaabbbaabbabaabbbaababbbaabbaaaabaaabbbaaababbbabbbababbabbaaabbabbbbbbbaabbabbabbbaabaa
+abbbbbbaababaabaaabaaaabbaaababbbbabababaabaaababbabbaaababbbaaabbaaa
+aaaabaaaaabaaa
+bbaaaaabaabbbbbabababbabbbbbbaabababbbabaaabbabbbabbaaabbbbbbabbbbbbaabbbbbababaabababababbaabaaabbbabb
+bbaabaabbbbaaabaaaabbabbaababababaaabaabbbaaaabaababaaabbaababbbabaaababbabbabbbbababbbbbbbaabaababaaa
+aabbaaaaaababbbaaaabaababaaabbbababbaaabbababbaabaababbabababbbaababaabbbaaababbababbbaabaaababbababb
+bbabaaaaaabbbbaabbaababbabbababa
+aabbabaaaaaaabbbaabbaabbbabbbaaabbbbaabbbaabaaababaa
+bbaabaaabababaaaaaaaabbababababbbabbabaababbbaaaaabbbbaabbabaaabaaabbbbbbbbaabaaaaababa
+babbaaabbaaabaabaaaabaabbababaabbbba
+aaababaaaabbbaba
+bbaaaaaabaaaaaabbbbbabbaaabbbbabbbbbbbaaabbaaaabbbbbbaaabbbaabbaaabbbbbababaaabbaaaabbaaaba
+babbabbbbababbababbababaabbababbbbabbaabbbbabbabbbaaabaabaaaabaabbaa
+aabbbbabbaaabaaaba
+abbbbbbabbaabbbaabababbaabbababbbababaaaabbaa
+bbbaabbbbbaabbbabbabaaababbaabaababaaaaabaabbbbbbbbbbbbbaaaabaaaaaaaaabaaabbbbabbbb
+bbbaabaaaabbbbaaaababb
+abbbbbaaababbaaabaabbbaaaabbbbaaabbbabaabaaaaaaaaaabbaaabbbaabbbbbaababaabaabaaababbba
+baaabbaabbbbbaaaaaaabbbbabababbaabbaabbbbababaabbbbabbaabbaabbaabbbbaababaaaabaaababbbabaabbbbbbbbabab
+bbabbbaaaaabbabaaaabbbbbbaabbbbbaababbbbaaaaaaaaabaaaaabbaaabbbaabbbb
+abbbaaaaaaaaaabbbbbabbaabbaabbaaaabaaaabbbaaabbaaaaaaabbaaaaabaab
+baaaaabbbbababaaabbbabbbabbbaaaaba
+aaababbabaabbbbbaaabaaabbabbbbbbbbabbbabbabbabaaabbbaababbbbbbbbaaabababbabbabaabaaaababaaabbabbbbb
+bbbabaaabaabbababbbabaabaaaababbbbbbbbabbbbaabaaabbabbaaaaaababaabbbbabbabbbbabaabaab
+ababbaaababbbbb
+bbabbabbababbaabaaabbabaaabbabbaaaaabab
+bbbbbabababaaabbbaaaabbaabbbbbbabbababaabbabbbbabaabbbbbabaabbababbabbababbbbbbbaaaa
+baaabaaaaaabaaabbabbbabbbaaabaaaaabaabbaabaab
+aaaababbbaabbbbbbabbbbabbababbbbbbbbaaaa
+baaaabbaaaabababaaaaaaabbabbaababaaabbbbbbaaaaaabbaabaaaaabbabaababbbaaabbbabbbaabbaaaaaaab
+abbbbbaabbbaabaabbabaaaaaabbaaaaaaaababbabaaabaabbbaabaaabbbabbab
+babbbaabbabbbaababbbaaabbabbbbaabbbaabbbaaababbaababaaaababbaaaaaaababbbbbbbbbbababaabaaabbabaabb
+abaaaaaabbabbbabbbbaaaabbababbbbbbabbaabababababaaaabbbaabbaaaabbaabbaabbbbaababaabbabaabababba
+bababababbbbbbbbbabaabbbaababbbbbabbabbbaaaabaabaaaab
+abaaababbbbbaabaaabbaaaaaababbbbbbaaababaaabababaababbbabbaabababaaaababaabaaaababbbaabbabbbaaab
+ababababaabbbaababbaabaabbbbbbab
+babaabbababbbbaabaaaaaabbbbaababaababababbbaaaaabbbbabbbaabbaabbaaabaabbbbbababb
+baaaaaabbaabbbbbaaabbabababababbbbbababbababbbabbaaabaababaabbbbbaaaabaabbaabbaaaababaababababab
+baabbbaaaaabbbaabaaabababbbaabbabaaabbaabababb
+babbabbabbabaababaaaabaaababbaababaaababbabbaabbabaaababaaaaabaabbaabaaabababbabbaabbaaaabbbaaaaaaababa
+bbabbbbbababbaaaabababbbababaabaabbabaaabbaabababbaabbababbabaaaabbaababbbabbbabaababbbbaaaabb
+aaabaabbababababbbbaaaababaabaaabbbabaaaaaaabaaabbbaabaaabbbbbaaaabbbbabababaababaaaaaababbbaabbaaba
+babbbbaabaabaabbbbaabbbbabbabaaaaaabaabaaaabbbaabbaabaaabbaababaabbaabaab
+abbbabaaaab
+abaabbababbbabaabbbabaaaabababbaaaababbabbabbabbbbbbbbbbbbbabbaabaaaabbababaabaababababaaaaaaabbbbbbaaaaaaaab
+aabaaabbbbbaababbbbbbbaabababaabaaabbbbbbbbabaaabaabaabbabbbbbaaabbabbaabbaaaababbaababbaabbababaaaabbb
+babbabbaaaaaabbbbaabbbbbabbbbbbababbbbbababbbbaabbbbabababbaabaaaabababbaabbaaabb
+baabbaaaabbbbaaaaabbbaaabbaabbabbabbb
+bbaaaaaabbb
+babbbaabbbabaabbbbbbbaababbaabbabbbbaababbbbbaabbbaabbbbbabbabbbbbaabaaaabaaaaaababbbbbaaabbabaaabbab
+abbbabbbaaaabaabbabbbbaabbbbbabbaabbababbabbaabbbaabaabaaaba
+bbbabbbaabbaaabaabbabbaababaababaababbabbaaaabaababbaaaabaaabbbab
+bbaaaaabbbbaaaaababbbaabaabbbaaaababaaabaaaaabbabaababaabbbbabbbabaaabbabaaaaaaaababbbbaaaabbababaababaabb
+bbaaaaabbbbbaaababaabbbaaaaabababbaabaaaaabbabaabbbbbbbaaaababbbaaaabbbaaabbabbaaba
+abbbbbbbbbaa
+baabababbbbbaabbbaaaabaaaaabbabbbbbaaabbababaabbababaaabbbbaaba
+abbabababbbbaabbbbababaabbbabaabbaababbabbaaabaaaabaabaaabbaababbababaaaabababbbaaaaba
+aaabbbbbaabbbabaaabbaabbabaaaababbbbaababbbbbabbbabbbbbabaababaaaabbabbbaabbbabaabbaabaaaababbbaa
+babaabbbabaaabbbabbbb
+abaababbababbaabbaaaaaababaaaababbabaaaababbbaaabbaabbbabaabaaba
+babbbababaaabaabbbbababaaaaabaaaabbaabaabbbbabbbbaaababbababbaaaaaabaabaaaababbabbabbabababbbbbbbabba
+bbbaaaabbbaabbbabaabaaabbbbbbaababababaabababaaaaaabbbaaaabbabbbbbababababaabbabbbbaaabbabbabbab
+bbbbbbbaabbbaabababbabab
+babaaaabbbabaabbbabaabbaabbbbbbababb
+bbaaaabbbabaaaabaaaababaabbabbabbabbbbbbabaaaaabbaabaaaba
+abaaaaaaaabaaabbbbbbaaabaaabaabbbaababbbabbbbabaaaabbabbabbaaaabbaabbaabbaba
+abbaababaaabbbaaabaaaaaaaabbbaabaabbababbbaaababaabaabbbbbaaaabbaabbbbbbababababbaaaabaaabb
+baaaabbaabbbbabbbbabbbbbaaaabaaaaaaabbabababbababbaaaabbbabbbabaaab
+bbabababbbbaabbbaababbbbabbabbbbbbbab
+ababbaaaabbbabbbabbaabbaabbaabababbabbbbabababaaabaabbaaababbababbbbbaaaaabbb
+bbbaabbabaaabbbabbababbabbaaaabbbabbabaabbabbba
+aababbbbaabbaaabaaaabbaababbabaaabbabababbbbabbbabaabbbbbabbbbabab
+babaaaabbbbbaabbabaaabbbbbaabbbbabbbbbaaabbbaaaabbbabaabaababaabbbbaaabaabbbbaabbbbabbbbbbbabbbbbbbabaaab
+babbbbbbaabaaabaabbaaabaababbaaababaaabbaaaabaabbbaaaaaaabaabbababbbaaaabbbaabaababaaa
+bbaaaababbbbaabaabbbbbbbbabaababaabbab
+aabbabbabbaababbaaaaabaaaababababaabbaababbabbababbaababababbaa
+bbbbabbabbabbaababaaababaaababbaaaabaab
+abbabaabbababbbabbabbbababbabbababababbabbbaababbbbabbaababaaababaaabbbbbbabaaababbabbabbaaababababaaabbbbaaa
+baaaabbbbbbababbaabbbaaba
+aaabbaabbaaaabbabaabbaaab
+bbbbabbaaabbaaaabbabbbabbaabbbaabbaaabbaaaaaabbbababaabaaabbb
+aabbbaaabbbabbbaaaabbaabaabaababaaabbbabbaaabaaaabbabbaabbbaaaabbbaaaaba
+abbaaabbbbbaabbbbaaabbaab
+abbbbaabbabbbabaaaaabaabaabbaaabbbbabababaaaabbbbbbbbabbbbaabbaaabaaaabababaabbaababbaaaa
+aabbaabbabaaaaabaa
+baabbaabbbabababaabbbababbbabbbbaabbaaaaaaabaabbababbaabbba
+babaabababbbbababaaaabbababbbababbbbaabbbbabbaaababbbbbabbbababaaaabbaaaaaaaabbaab
+aaaaabaaaababababbbabbaaaababaabbaabbbbaabaabaabbbbabababaababaaaaabbbbbbbaabbbbbabaaaabbbbaabbbabbabbab
+baabbbaabbbbaabbbabababaabbaaabaaabbaaaabaaabbaabbbaabaaaabbbaaaaababbb
+aaabaaabbbbabaaaaabaabbabbaaababbaaaaababbababaaa
+abaaaaaaababbbaabbbbbbaaababbaabbbbababbabaaababbaabbaaaaaaabbbbabaaaaabaababbbbabaabababbbabbbaa
+abaabaabaaaaaabababaabbabbaaaaabbabaa
+aaaaaabaaaaaaaaaaabaabaaabaaabbbbbbaabaaaaaa
+bababbbbbbaaaaaaaaabbabaabbbababaaabbaabbaabababbaabbbbbaabbaaabaabbaaabbaba
+abbbbbaabaaabbbbaaaaababbbababaaabbbabaaababaaabaabbbaaaaabbbaabaaaaababababbbaaabbaabbaabbabaaaa
+baabbaaabaaabbabbababababaabbbbbbabbbaaaababbbbabbaaaaabbaaaaab
+abbaabaabbbbbbaabaaababbabaa
+baabaababaabaaababbbaabbaaabbabbbbbbabbbbabbbbbaaaaabbabbabaababbaaabbbbbbbaaa
+bbaabaaaababaababaaabaabaaaaaabbabbbbbabbbabbaabaaaababaaaabbbaabbbaaa
+abbbbbaaababaababaaabaabbbbaaabaabbbababaabbbbabbabbbbbabbaabbbbaaabbabaabbaabbabaaaaaaa
+babbbbbabaaabbaaaabaaaabaaaaaaaaaaababbbbbbbab
+aaabaaaabbbaabaaababaabbbaabbbbbbabbabbbbaaababbbbababbabbaababbaaaabbabbbabbbbaabbba
+ababbbbabaaabaaaaaabbbaabbbbababaaaaaaaaababaababbbabbabbbbaaaaaaababaaaabbab
+abaabaababbabbaaababaaaabbabaaaababab
+baabbbbaababbbbbbbababaaabbaababba
+bbbaabbaaabaabbabaaaabbaaaababbbaabbabbabbabaabbaaaababaaaaaaaabbaabaabbbabaabbaababbababaababaaaaba
+babbbbabaaabbbbbbbabababbaabaaabbabbbabbaaabaaaa
+bbbbaaaabaabbbaababbabbaaababaaaaabbabbaabaabaaabbbababbaabbaabbabbaabaabbbbabbaabaaabaaabbba
+ababbabbaababaababaaabb
+babbaabaabaababaababaaaaba
+bbbbbbabababbaababbaababaaabaaabbaababbaabababbbbaabaaaabaabaaaaaaabaabbaaababbbaabaababaababab
+bbaaaabbbabaaabaaabbaababaaabbbaaaaabbbbbaabbabbabababbbabaaaabababababbabbabbbbbbbaba
+babbbbabbabbabbbaaaaababbababababbbabbbbbaabaabaaabbabbabbaabaaaaaabbabbbaaaabaaaababbaa
+baaaabaababbbababbbaaaaabbababbbaaabbabababbabbbbabaabbbb
+abaabaabbbbbababaabbaaaabbbbba
+abbaabbaababbabbbbbaabaabbbbababababaabbababaabbaaabbbbaaaabababbbbbababbbbbabbbbbaaabbaabba
+babbbbabbbabbbaaaaaaabbaaaabbaabbabaabbbbabbbabababbbaabbaabbbaaaaaaabaaaaabbab
+ababaabaababbabababaababbbabaaabbbababababbaaaabaaaaaabbabbbaabaababababbaaababbbababbbbabbaaaaababbabbaaab
+abaaaabbabaabbaabaaabbababbabb
+aaabaabbabaabbbbbbb
+baaaabaaabbabababbabbaabbbabbaaaaab
+bbbabbbbbbbbbbbb
+bbbaabbabbabbbbaaaaabaab
+abaabaaaabbaabaababa
+baaababbbbabbbaaabbbababbaaabb
+baaaabbaabbbbaabababbaabbaaabaaaabaaaaaababbaabbaaaabbabbbaababababbabbbaaabbbbbbbbabaabbbbbbbbaabab
+bbbabbababaababababbbbabbaaabaabaaabbbabbbaabaaabbababbbaabbabaa
+babaaaaabababab
+aabbabbbaaababbaabbabbabbbabaaabaabababbbaaaaaaabbabaabaabaabaabbbaabaaaabbbabbabaaaaaabbb
+bbaaababbabaabbbbbbaabb
+aabbbaaaababaaababbbaababbbbabbab
+abbbbbbabaabaaabbaaababbabaaabbbbaaaaabbbbbbbbbbaabbaabbbabbbbbabbbbababbbabbbbaaaaaaa
+babaaaaabbbbaaababbbbaaaababaaaabbabbabbbbabbbabbbabbbaaaabbababaaababaababbbababbbabbabbbab
+baaabbabbaaaaaabaabbbabbbbbbbbabbaaaabaabbbaaaaabbbbabbabbabaaaaaabbabbbababaaaaaabaabbbabbaabaaaaba
+abbaaaaaaaabbaabbbbbbaaababbaababbbbaaaababbaaaaabaaaaabaabbabbaabbaaabaaababbbabab
+ababbabbbabaabbabbabaabbbbbabbaabbbbabaabaaaaaabbbabbaaaabaaabbababbabbbbabaaaaababbbbbbbaabbbbab
+babbaaaaaababbaabbbaabaaaabbbabaaaabbaaaabaaaabbbbbababaabbaabaabaaababaaabbabbbbabab
+abaabaabbbbaaabbaaabaaaabaabbbbbbabbabbaaabaabaaaabaabbbaaaabbabbbbbbbabaababa
+bbaabbabbbbaaaabbbbbabaabbabaabba
+aabaaabbbbbbbbaabbbbbbbbabbbbaabbabbbaababbbaaaaabbbaaabaaaab
+babaababbbbbbaaaabbbaabbabaababbabbbaaabaaaabababbbbbabbbbbbbbabaabbbaaabaa
+abbabbbbbaabaaabbaababaaaabbabbbabbaabaaabbaaaaababaa
+baababbbaabbbbbbabababababbbabaaaaabbbbbaaaaabababababbbabbabbbbbababbbabaaaababbaabbaab
+aababaabbaaaaaaaaaabbaaabbabaaaabababaababaaaaaababbaaaaababaabbbaabaaaaabbbbbaababbabaaababbaababaa
+baabbbbaaabaaababbbaabbaaaababbabbbbaaaaaaabababbbbaabbaaaaaaaaaabbaaabbabbaabab
+babbaaababbbbbaaabbaaabaabbbbabbaaaabbbbbbbbbbbbaaabbabbaaaaaabbabbbaabbabaaaaabaaaabb
+abbaababaababbaab
+baabaababaababbbbbabaabaababbaaaabbbbabaabbbabbb
+bbbbbbbbbaaaaaaabababaaaabbbbaabababaabbaabaaaaabbabbaababbabaabaaabaabababbbbaabbab
+abaabaabbababaaaabbabaaababaaabbbabbbaaaaaababaabbbaabaabbabaaabbabaaa
+ababbaabbbaaabaabbbaabbabaaaaaabbaabbaabbabbabbbbabb
+ababbaabbaaababbbaa
+aaaaaaaabbaabbaababababbbaabaabbaaaaaabababaaaaabbbabbaabbbaabababaaabbabbbaabbbbbbbbabaabbabab
+abaabbababaabbbbbbaabababaababababbabbbabaabbbababbabbabaaaabaaabbababbbbaababbaaabbaababbb
+aaaaaaabbabbabaabbaaaabbbbaaaabababbbbbabbaabaabbabbaabaabaabbbaaaaaabbabbabaaabbabaabbaaabaababbb
+abaabbbaaaaababaabbbbababbabbbaaababaababbbaaaabbabbbaaaaa
+aaabbbaabbaabbaaaaaaababaaaabbbbbabbbbababaaaabaaabbaaaabbbaaaabbaabaabbabbbbbaaaabbababbbaabbbaaabbbb
+bababababbaaaababbabaaaaaabaabaabbabaaababbbbbaaaaaabbaabbbbbabbaabbaaabbbabbaaaaabbbbbaabbaababbbaabbbabbaab
+bbabbaabbaabaabbbababbaaababbbbbababbbbaabaaababbabbababbbbba
+bababbbbaaaababbabbaabaaabbbaaaabbbbbaabaaabbbabbaaaaaabaababaabbabaaaabaaababaabaababbababaabab
+abaabbabbbbbbabbabbabbbaaaabbabbabababbaabbaa
+abbaaabbaabbbabaabbbbaaaaababaababaabaabbabbabbaabbbaaabbbbaaaabbaaabaabbaaaabbabbabaabbbaabbabbbabaabbba
+babababbbabbaaaabbbababababbbaabbbbbbbbbaaabababb
+aaaaaababaaaaa
+abbbbbabbbbaabaabbbbaaabbabbbbbbaababaaabbabbaabaababbbaaabbaaa
+abbababbaaaabbaabbbaaaabaaababbaaab
+abbbbaaaabbaaaaabbbabaaabbbaaabbbabbabbbbbbaaaaaabbbabbbbbbabaab
+baaaabbabbbaabaabbabbaaaaababbbbbabbababaabaabaaabaaaaabaabbaaabbbbabaaaababaabbbabbababaabbbababa
+bbbabbbabbaaaabaaabaaaaaaaaabaabababbaabaaaababbbabbbaaabbabaabbbb
+baababababaaaaaabbabbbbbaaaaabbaaaaababaababbbaaaaaaabababbbbbaabbaaaaabaaaabbaaaabbaabbbbbbbbbababababaaa
+babbaabaabbbabbbbbbabababbbbbbbababbabbbbbaababbbaababa
+abbaaabbabbabbbbbababbb
+bbbbabbbabaaabaaabaabbababababbaaabaaabb
+aaabaabbabaabbabbbbaababbbabababbaaaaabbabbbaabbabababbbababbaabbabbbaaa
+aaabbbaababbaabbbbabaabaabababaabbbaabbabaaababbabbbababaaaabbababbaabbbbbbbbba
+abbabaaaaabbbbbbbbbbbabbabaaaaabaabbabaaabaabbb
+bbbabbabbabababaaababaabaabbbbbbbaabab
+aabbbbbaabaabbbaabbaaaaabbbababbbbbbbabababaaabaabbbaabaaababaaaabaaabaaababaabaaaaabab
+baaaabbbaaabaabbbaaababbababaaabbbbb
+ababababbbbbabababbbbaabbababaabbbbabbababbabbaabbabbaaabaab
+bababbaabbbaabaaabaaabbaaaababbaaabaaaabbbaaaabaaabababaaaaaba
+bbbabbabaababbbaaaabaaabaabababbababbabbaabbbababbababaabbabab
+abaaabbaabbaaabbaabaaabbaaaaabbababaabbaabbbabaababbaaaabbabbabbaaaaabbbaaa
+bbbabaabaabababbbbaaabaabaaaaaaabaaaababbababaababbabbabbbbbbaabaababababababaabbabaaabbabaababaababb
+bababaabbbaaaabaaabababbbbbbbbabbb
+babbbbbbbbbaaabaaabbabbaaababbbababbabbbbbabbabaabaabaaabbaabaabbbbaababbaaabbbbabbbaaababaaaababaabbb
+baaabbbbbaabbaaaabbbba
+aabaaaaaababaabbbabaabbaabbaaaabbaaaaabbaabbababaabbaababaabbbabaaabbaaaabbabaaaabbababbaababbbb
+aabaaabbbbaabbabbbbabbaabbaaaabababbbbbbbbbabaabbbbaaabbbbbabbbbbab
+bbbababbaaabaabbbbaaabbabaaabbbbbbbbabbbbbbabaaaababaaabbabaabaaababbbbbaabaabbaabbbbabbabbaabbaabaa
+aaabaabababaaaaabaabaabbaaabaabbababbbbaaaaabaaaaaaaabababaaabaababbbbab
+baababbabbbbbbaaabaaabbbaabaaaabababbbabba
+aaaaabbbbabaaabbbbbaaabaabaabbbbbabbababbaaababbbab
+aaabbaaabbabaabbaabbbaaabaabbbaaababbaaaabbbababbbbaaaabaabaabaaaaa
+bbbbabbaaabbaaaaababaaaabbabbbbaabaaabaababb
+baaaaabbabbaabbbabbaaaabaabbbbaabbbbbbbaabaaaabbaababaaaabaaaaaababaaaa
+baabaaabbbbbaabbaabbabaaaaabbabbbaaabbabaa
+aaabaabaaaabbabbaaaabbbbbabbaaabaababbaaabbbababbbbbaaba
+baababbabaaabbaabbabbbabbbbbabbaaabbbbbaaabbbbbbbbaaaaab
+aababaaaaaabbabbaaaabaabbbabaaabbabbbaabbbababbbabbba
+abaaababbbaabababaabababbbbaabbabaabbbaaaaabbabbaaaabbaabaabababaabbaaba
+bbabbbbbbabbaaaababbbbbbabbaaababbabaabbbaabaabb
+aabbbabbabbaabbabaaaaabababbabbbaaaaabbbabaaaabba
+babaaaababaabbaabaaaaaabbaaabbabaabaaaabababaaaaabaababaabbbaaabababbbbaaabbbaaabbaaabbbbbbaba
+abbbaaabbab
+baaaaabbaabbaabaaaaababbbbbaaabababbbababaabbbbbbbaabbabbaabbabaabbbbabaa
+baababaabaabbbaaaabababbbaaaaabaaaabbbaaababbabbbbbabaabaabaaabbabbbbaaabaaabaabbbbbbababbaabaaabaabbbbaba
+aabbabbaabbbbaaabbabbaabbbabaaba
+baaabbbbbbaaababbaaaabbbbaaaaaaaaabbabbbabbaaaabababbabbbabaaabbbbbababbaabbbbbb
+aabbaaabbbbbbbabbbbababbbabbaaa
+bbabbbbaabbbbbaaaaabbaaababbbabbbbbbbaababbbaaaabbbaabbbaabbbabbbbabaababaabaaaaaabaaababbbaabaabbbaabaa
+bbabbbaaabbabbbbabbbbaababbabbaaaaabbabbbabbaaababaabbabaaabbbabbbbbaabaab
+abbbbbbbbab
+bbaaaabbaaabaaaaaabaaaaabbaaabbbbaaaaaaabababbbbbabaaabbbabaabbaabbbbaaaaabaaaababbaaabb
+bbbbbaababbbababbaabaabb
+abbbbabbbbbbbaaaabbbabaabaaabbbaaabbaaab
+bbbaabaabbabaabbaabbbbaaaaaaaabaabaaabaabaaa
+babbbababaaaaaabbabbbabaababaabaababbbbbbbbbaaaaaabbbbbbbabbabbabbaaaabbbbbb
+abbaaabaaabbbbaabbabbbaaaaaabbbabaabbbabaababaababbabaababbaaba
+baabaaababaaabbabaabababaaa
+abaabababaaabbbbabaaaabaabbababbabababaabbaabbaababbaaaaabba
+abaabbaabbaaabaaabaabbbbabaaabbaaaababaaaaaaabbbbaaabaabaababababbbbaabbabbbbabaabbabbbbaabbaabababbab
+5 3
+bbaabbbaabbaaaaaaabbbaaaabbaabbaaabbabbaaaabaaaabbbb
+abaaaabaaabaababbbbbbabbabaabba
+abaaabbabaabbbbbaabba
+bbabbbaabaabaaaabaababbabababbbbaabbabbbaaababbbabbbbbbbaaabaaaaaaabbaaababbabbaabbabaabbbbbaab
+bbbbabaaababbaaabbbbabaaabbabbabbbbababaababbabaabab
+74 22
+bbabbaaaaabbaaabbababbbbabbbbaaababb
+bbababbbaabaaabbabbbbbabbbaabaabbaaaa
+bbbabbaaaaabaaabbbbbabaabbbbababbabaabaaaabbbbbbbaba
+aabaabbabbbbabbbaababab
+aabbbbabaabbabbabbbbbbaaa
+aabbaababbaaabbbabbbbb
+abbbbbaaababbabbbababaabbaaaabaaaabaabbbbabaababbabaabaaabbbabbabbabaabbabaabbaabbabaa
+bbabbaaababab
+bbabaababb
+bbabbbbbbbbbabbbaabbbbbaaababaabbaabbababbbbaababbbabbabbabbbbbaabaaaabb
+aabbbbabbbabaaabbabbbbaabaaababbaaabbb
+babaaabbbbabaaaababbbbbbbabaaaababbabbbaaababbaaabaaaabbbaabaaabbaaabbabaabaaaaabbabbbbabbabbabbb
+bbaaabaabaaabbbabbaaabbbbbababbbbabaaaaaabbaababaabbbbbabaabaabbbab
+babbbaabaaaabaabbbbbabbaabbbbbaabbbbbbaaababbbaaaabbabbbbbaaaaabbbbbbabbb
+bbbababababaaababbabbbaaabbaabbbabbbbabbaaaabbbaabbaaaaabbbbbaaabbabaa
+aabaabbbbbababbbaaabbbaabaaabaaabababbabbabbababaabbabaabababbbabbbabbb
+abbbaaaaaabababbbbabbaaaaaabaaaabbbbbaabbababaabaababababbaabbbaabbaabaabaaabbba
+abbbaabababaaaabbbbaaabbbabbabababaaabbabbbaba
+bbabababbababaabaaaabaaabbbbbaaaabbaaaaaba
+bbabbbbbaaaaaabbbabbbbbabbbbaaabbbaaaaabb
+babbaabbaabbbbbabaababbababaaabbbbaab
+ababaabbababbbbababbabaabbbababbabbbaaabbaabbbabaaaabaabaabbaabbbbabbaaaabbbbabbaaaabaaaabaaaabab
+bbbaaaabababbaaabbbbabbaaabbbbaabbaaabaaababa
+abababaaaabaaababaabbba
+aabababbbbaabaaababbaaabaababbabbbbbabbabbabbaaaabbbbbabbbababaabaaababbaaabababbbbbbbaababaaa
+aabbbabbaa
+aaabaaabababbabbabbbbaababaabbabaabbabbabbaaabaabbbbaabaaaaabaaaaaaababbaababbaabaabbabababbbbaababa
+bbbaabbaababbaabbbbaabbaabaabaabbbaabbbbbababbbbbaaabababaaabaaab
+abbabbbbaaabaabaabaabaaaabbbabaaababbabbbbabaabbaabaaabaabababaaaaabbab
+abbbbababbbbbaaababbbbbbababbbbbabaabbbbbbbbbbab
+baaabbaaaaabababaabbbbaaababbbabbaaa
+aabaabaabbaabbbabbbabbaabababbaabbbbabaaaabbabbaabbababb
+abbbbbbbbbabbaaabbbbababbababaababbbababbab
+babbbabaaababbbabbbababbabaaabbbbbaaaababbbabaabbbaaabaabbabbabbbaaaaabbaabbbabbbaabaababbbbbbabbbbaaba
+bbbaabbbbbbbbbbbbababb
+abbaabbaaabbababbaaaaaabababbbabaababbabaaaaabaaabbbabba
+aaaababaaabaabbaababbbaabbbaababbaaaabaabaabbabbabbbbbbbaaabb
+aaabbabbaaaabababbbbababaabbbbab
+aaaabbabbaaaaaababbb
+bbbbababaaaababababaaaaaababaababbabbbbbbbabaaababbbbbabaababaabbbbbbbabbaabbaaabbbaaababbaa
+babbababbbbbbbaabaabbbaaa
+abaabaabbaaaabbbbbbaaaabaaabbbaababbbbbaaaaabaababaabaabbabaabbabaaab
+bbbabbaaabbaaaaaaaaabbbbbbaabbabababaabaab
+abaabaaaaabaababbbaabb
+baaabaaabbaaaababbbbbbbbaaaabababaaabbaaabbbabaabbabbbaababaaaaaaabbbbab
+aabbbbabababaababbabbb
+aabaabaababbaaabbbbbbbbaaaaababbbbabaaabababbbaaabbabbabbabaababaabbaaababbbbabbbbbaaabababaa
+ababbbaababaabaababbaaabbbbaabaababaabbaaaaaabbbabababbabbbabaaabbbabaabbbaaabbabbbaaaababaabaaaaabbbabaa
+ababbabbbbbbabbbbabaabbabbbbbabbaaabbaabaabbbbaabbabbabaaaababaababaaabaaababbaabbabbbabaabaabbbaaaa
+bbaaaaaabaabaababb
+bbabbbabbaabbababbabaaaabbabbababbbabbbaaabbbbbbaabbbaabbabaabbabbbbaaaba
+abbbaaabbbababaabaabababaaabbaaabbaabbbabaabaabababbbbababbabbababaabbabbbbbabababbbbbbbababbabbbbbbba
+ababbbabbaababaabbaaababbabababaabbbaaabaabbbbbbabbabb
+baabbabaaabaaabbbbabbaabababbbbababababbbabbaaaaaabaabaaabbaaaabbaaabbbbabaaabababbbabababbabbba
+abbbababbabbaaaabbaabbbaabbababbbbaaaaababaaaaba
+aaababbababbabbaaaaaaaabbbbaaabaabbababbbbbabaababbbabbbbbaaaababbaaabbababbabbaaaabbbaabb
+bbbbabbbababababbbbaaabbbabaa
+baaababbaabbbabbbabbbaabaabbbabababbbababbabbaaabaaabbaaaabaabbaabbabbbbababab
+abbbbbbbabbbaaabaaaabaaaaabaab
+babbabaaabbaaababbabbaaaaabaaabababaaaabaabaaababaabaabaababbbaaaaabaabaababbbaaaabbbbabbbbaaaaabaaabaa
+aabbbaaababbbaabaabaaaa
+baababbaaababbaaababa
+bbbbbaaabaabbbbaaaaaabbaababbaaabaaaaababbaabbbbaabbabbaabb
+bbababaabbaaaaababababaaabbbaabababba
+bbaaababaabaaabaabbaaabbbbbbbbaababbabbaaabaaaabbbababaaaabbbabbabba
+babbbbbbabaaabababaaababbbaabaababbbbaababbabaaaabaababaaaababbbbaaabbbaaabbbaaaaabbbbbaabaaabbbbab
+baaabbbbaaabbaababbaaaaabbbbaba
+abbaabbbbbbbaaabaaaaababaabaaaabbabababbbaabbbababbbbbbbaabbbbaaaabaababbbbbbabbbab
+aabbabaaaaabbbababbabbbaaaaabbbabbababbaabbabbaabbabbabaaabbbaababbaabbabbbababaabbbabbaaaba
+aaaabaaabaaaaabbabbbabbababbababaababaabaabbbaabaaaabbbbbbbabbbaaaabababaaababaabbbba
+aabbbbabaabbbababaaaaaabaabbaaaaaabaabbbabababaaababb
+ababbaaabaaabbbbbaaababbbbbaababbabbabbaabaaabbabbbbabbbbbabbaaabaabababbabbabbbabbababbbbaaaabbbbabbbbb
+bbbbaaaababaabbbabbaaaabaabababaabaababbaabbbbababaabb
+baaabababbbbbababaaaaaabaaabbaababbabaaaaabaaabbaaabaaaabaabaaababbbbbbbaabbabbbaaabaaabbaaaaa
+87 73
+accaaadacaadadcbdbcbbdcbccabcabccdcdcbcaadbddcbcdacbad
+adacddbcacadaabcbdbcaabacbbbcbdddbdaddbdbaaa
+dadccdbdccbdddbcbdbbdadabdcaacacaaacaddacb
+ddcccdbddadccbacdddacacabbcdbdaccdbdbaaddacbabbabadcdcbcdbbcdbcaabcbaadaaaacdbdcddddaaccbcaaddcdabaddcabbcbcb
+dcccdcbdddacabacdccbbbaabbdcdcdbacbbdddadcbbcadbbd
+bbabaaabadcbddddaadbdbbbabdbadbcabcdcacbbadabbddabccccacdccddddccccbacdbbdbddaaddadbaddad
+bacbcbcaaacc
+addaadbcbaadbccabdbbabaddddcacdaabccacadbdbdab
+dbabdabcdbcadcabaabaabbdcbaaacabaccdbaaaacdbccabacbdacbcbddbbccdbaaabbddbabbbccdaaaaddbdccdbbaccaccb
+ddacdbddddcdacbbddcabbd
+dcdbbadbdcbadddccadddcbbbaabacdaddccadaddaabdccbbaaccdbcabdbdcaabdaacccbbbacbbdcacbbbbbcbbbabdcacbb
+cbdccbbcacddcacabdcdcdcacddbdcbdc
+bdcacbcacbcccdcbabaaabcacabbdcbaaababada
+dcddbcadccadccbdcbcdbbbdccbabdcacbaacdcbb
+cbcbbdcaacbbcabdbaccbbcbbcaaddbbbbbdcaddbccdbbcabdbddaabababccbbbcddcbabdbcabbbbbcacbdccacbccdbdad
+cdcabddcaabacbdacccbbd
+ddcaabbaacbbdcacddacacdbdbccacbbabddddbbbaccabdcbadbbaacbccabbdacbaac
+dadabdaabdacadbccdbca
+dabbddbcdbadbcbdaa
+bacaddaadaddacabaaccbbdaadcdddccbdddbdbcacabacbbcccddcabaddbcbcadbbdadacbccbbadaacdcaadadbddbcccdacdcad
+cacbcddbbadccbaacccddabdadddcbbbcdddbdb
+bbaaabaccadacbbb
+dcbaadcadcadaccaadbdbbcabddbaaabdddacdcbbdbbbddaaabbddddacdbcc
+dcdddaadcbddadbddccbbcacaacdcbabbabddacbcabbbabdcacbaabababadabacacdaccc
+bdabdaddbbccbcdbbdbdbcbdbacddbbdcdacacacddcbda
+bccbccacbadcdbbbbdbbcbdccdacadbddabddbaddbddcdbcacaabbacacdacbbaaadbaabadaaa
+accaccaabdacdacaaabddbaacabccdcddbdaaccbdd
+baccaaadbcacddcaadaddcdcccccaccbbdcaabadbaaaccaacdcdbb
+bacdcdacdadaccbcadcaaadcbadddbbaaaabcadabadcbabddbadaccabbbdcbbccdbdccbbacdc
+bacaacdcdaabaaacccacdcdccdddddcdaabdccccdbbbabdadaaaddbbbbdbdbadcacddcbaacabdcdadbdbadc
+abaaaabacdacddaccdbcbabbbcaacadbdbbbbaacdadaabbcbcbdcadaacadcccbdcacdadabbaddbbbaddccbc
+bdababdbcadaabdaadacabcdbadcdcaacbc
+cbadddaaacdbccacd
+dbcdaccadbdcdccdb
+dbcdcdbdcaacdabcbdbbacbabbbbcdacababbbcbaacccdadbbbbcaabcaaaaaadccbccbcbdbcdcbcccbd
+badaaaadaabbbccccbccbddbacccabcda
+bacbacbacbbdcdaddadaddcdbbdadcbd
+bdcdbadbcadadbbbabcbcabacdcacddccaccbaadccdcbdacadc
+baaccdbcbbcdcaacbcaacddacbdddabcdbcadaccbaadccaadd
+dbcdabbbdbddccacacdbcdc
+abcbbbddaccdccacdbbcbcaddbbbdcdbaacbaaaccdcbdcddbacdddbaadaacaabcbdacdbcbccdbacaaaacbbbabbabcddacbccbdb
+aaacbbcbbcbbabdbdcdbabbdbdcc
+dcccdaadaadaabadabdbbacdaabaababdbdadbddacccababdcdbaacabdaccbaddabbbbbccbbbaaacdd
+cadbaabcbadcabcabacdbaacdcaacacdbcbcacbcabcacbbaabccbcbbcbdcbbdcdaaccacdadddcbdbcdcbdcabacbcbbdd
+dbbaddcbccadbacdbdbbaadbcabcddadcccdbabbbcdaacddccdddddbbacaadcccdbb
+bccddcddcccbbadbbcbbcbaababcbddabababddbb
+baccbbdbbcaadbcbb
+cbdbbccaaccdabdbabcbbcddaaaaadcbacbbadcdbdbdcacbbbbaadcdadccdaadaaadda
+abadaaadacdcadabaabacbcabadac
+adccdabdbdaabcdbccbbdbca
+abddcbaacbdbcbbbbadadadcddcdbbbadbddacddcddca
+cdcabcbbbbdddcbaccccdcadbbccbddbabbaabcbdacacddbcddccccabbbacbbddaaddabdcaccaadd
+caddbbccdddcbccabbbcbbdbbbbccdacbbababdcdbacbbbcdbcaccdacca
+cccbbabbdbacbbabdaddddbcbcbacdabaadbcdddcbcddaabaacabacacbaabbdbacdaccbcaabdbaccaa
+aabcbbcabbcddccbddbbaabadbdbaadcabbddcbcbacccabdbdccacbdbdbaccdcddcaadcbcacaacacddcbacaabccdaabbabdacbddbc
+bacaccadbaaaaacadb
+daaaadabbcbacbacdabcdbabbdcdbadcaaacaacddbcabb
+daccaccabdaaaabcabaacbaaacbbddabbabadcccddacbcbcaabbacccbbaaaadaadddd
+accbcabbbdadbbcaadcab
+ccaadacaacadababcbacaddbabacbcdabcd
+ddbbabcabacabdccbbadaabdbbbacaaadaadcbdbcbcaccadddabcccabccabccdcabbdccdcbcdbaccbbccd
+dcbdacccdcdababcaccdabaadcdabbacadccbdbcdcccbdaddbbbcdcdddbcddaaaccadbdabbbaccaccddcacc
+bcbdaaadbaacadbbbbbacbadcbdaaaddcdabc
+dddddaddcbcaddacdabcdbcbbdbbbadcdadbdacbacabbccdacaddbcbcaccccddabdcdaaddacaccdaaddcbcaadcaadddcacacdbabcacdd
+aadabdadcaadcabcbbcdddbbdddcdbcbaacca
+dadcdcccab
+dcadccaaaabbbacccbabbbcbbbcdbccaccacccaddabacddabdbbadabccacadbcaddbbddaacaadbbccdbaabbbbbabaad
+aaaacdbacccdadcabaacddbabdddcbabadccbccdcacddbcabaacaadbccacbbcdabdbaacabb
+dbddadccaaacccdacdbaacbdcdbdccbad
+abcbbcdadcadabcdacacacdabbdcacbdccacdccdcdaaabddbddcaddbaccdcabbbdadacbacadddabbdbdbaacadbcdbabdabcacd
+abdbbbaadccaaacdadabcaabcdbcdbdcaccbdacaabba
+dbbcbdddabbdcbadadbbaacbcdadbcbabccbdccadccbbabdbcdc
+ccbbaaadbaddcd
+bdadbcacbbbdaccddcaaaaabacadbacdbdcc
+babdabbccabdaacda
+abdcbbbcdacbcdccdbaa
+cacaaccacdcdbbaabaababcaacdbdabadccbbcabcdcdadbd
+dcbbcbdccbcbaccbbcaaaabaadbadccadaddadddacdacadbddccdbbdacdbbddaccddbccbabbaabddccbbdaccdbabccbbcaaba
+aadddabacccdbcbadbcbbbcdcdbbcbbbbadbbbacacdcddacdabcaadb
+dcdadcdaacbdaadcccaabdadcadccdcacb
+caacddbbcdbcbbabadbdbbabbaadcdcbddd
+cdadcbdbdacacaab
+ddbdbadddcacbbbaacaadadbcaaadbccbbdbcbdadbbccaabbbdccccddabbaccbdbbddaaaddccbccbacdadcbdbddbdd
+bdaababbccacacbcaaabbdbccbabcabbdadabcccdccdbaccacdadccccd
+bdbcacabaaadacdaccaacacaabbdbacbccbcaadbccbdccbc
+bcbdbbdadaadbdccddcbcbcddaacadcdadabacccdacbbdcbccbacacabbcddbddaccaacdd
+daccaddcdacbaddbdccbaacccaaddcdbdbabadbbaaccacaaddbcbcdbcaacbcdaddbacdddcbddcdc
+297 236
+babababbabbaabbbbbabababaabbbabbbabbbaaaaaaabbbbabaaabbaabbaaaabaabaaaabbaabbbbab
+ababbbbabbabaaabaaabaaabaaabbabaabaaababbbbabbba
+ababbbabababaabbababbbbababababbbbabaababbbabbbbabaa
+abaaaaabaaabbabbabaaaaaabbaabbbabbabbbbbbaababaabaaabbbbaaababbbaaababaaaabbaaabbaaababaaaabbabaaaababbaaa
+bababbbabaabbbaaababaabbbbaaaaba
+abbbabaabaababaabaababbaabaabbbbaabbbbbaabaaaabaaabaaaabaaababaabaabaabbbbaababaaabaaabaababaabababaab
+bbbbababbaaababaabaaaabbaababbbbabbaaabaaaaabbabababaabaaabbbbbbbbaabbb
+aaaabaabbbbbabababbabaabbaababbbaabbbbaaabbabbbbbbaababaabbb
+bbababbabbaabaabbaabbaabaababaaaaababbbabbaaabaaabbbbb
+aabaabababababaaabbabbababbbaaaabbababaaabbbabaabbabbaaabab
+babbaaaabbababababbbbaabbaababababbbaabaabbaaababbbbbababbbbaa
+baaabbbaabaabababbbbabbbbbbbaabbaa
+abbbababbabaaaaabbbbababbaaba
+babaaabbbaaabbaab
+aabbabaabbaababbaaabaabbabbbaaaabbaababbbbabbaaaaaaabbaaabaabaab
+bbaabbbbbbbbaababaaa
+bababbaababbaabaabaaababbaabaaaabbabbaabbabbbbab
+abababaabaaabbbbbbbbababbbbbabaabbba
+bababaaaaabbaaaabbabaaaaabbaaabbbaabb
+aaaabbaababbaaabbbbbabbbaaaababaaabbabaaaabbaaababababaababaaaaaabaaababbbabaabbabaaaaaaababbbbaa
+bbaaaabbabaabbabbaabbaabbabbbaababaababaaaabaababbbbbbabbbbabaaababbb
+bbababbbbababbbbabbabbbbbbaaaaabbaabbbbabbaaaaababbaaaaabaababaaaaa
+bababbbabbaaabaaaaabbaaababaabaaaaabaababaabaaaaabaaabab
+babaaaaabaabbbababbbbaaabbbababaaabaababaaabbabaaaaabbbaaaaabbbba
+aaababaaabbbaaaabbbababbbabbaabbababaaaaababababbabbabbbabbbbbabaabaabbbbbaaaaabbbbbbbaaabab
+bbaabababbaba
+abaaabbaababbbabbababbbaaabbaabbbaaaabbababbbabbbaabbaaabbaabbbbbbabbabbbbabbaabbbaaabbbaabb
+bbbaabaaaababaabbbbaabbbaabaaabaaabaaaaaaaaaababbbbbaabaabbbabbaabbabaaaabbabbaaaaabbbaababbabbaabbbaabbaaab
+bbbaaababbbbbababbaaababaaabaabbabbbabbabbbabbaaaabbbbabaaaab
+bbabaabaabbbabbaaaaabaabaabaaababaababaababbbabaababaabbbbbaaababaabbaabababaabbaabaaaaabababbbaaa
+bbaaaabaababbabaabab
+babbaaaabbaaaabbaaabbaaabbbaaaaabbbaababbbbbabbaa
+baabbbabaabbbaababaabbabbbabaaaaa
+baaaabaaaabbaabbbaabbbab
+aaaaaaaabaabbabbababaabbbabbabaaabbbaababbaaababaaabbabaabbaaa
+bbbaaaaaabaabaaaabbbbbaaababbbbbaaabbabbabababaabaa
+ababbaababaaaabbbbbaabbaabaaaabaaaabababbaaaaabbabbabbbb
+baabbaaabababaabbababbabbabbaaa
+aaababaabbabbaabbabababaaaaaababbbbaabbbbaabbbbabbbabbbababbbaaabbbaabbbabaa
+aaabaabbbbababbbabaabbbaaaabaabaabaabbabaabbabbabaaababbaabaaabbbb
+aaaaababaababbaabbbbaaabbbabbaaaabbb
+baaabaaaaaaabbbababbbbabbbb
+abaabaaaabaaaaabaaabbbbabbbbaabaaabbbaaabaaaabbbb
+aaababbbababbbabbabaabaabbbbaabbabbbabbbaaaaaaaaabbabbabbbababaaaabbbbaabbaabababbbabaabaaababbbbbbbabbaab
+aabaabbaabaaaabaaabbbabbbababbabbbbbabbabbbaaaaaababaabbbbabbb
+aaabbababababbbababbabbbbbabbaabbabbaaaabaaaaaababbbbaaabbbaba
+abbbbaabaaaaaabbbbabbba
+abaaaaaaaaabbaabbbbababaabbabaaaabaabbabaabaabbabbaabbabbbababbaabbba
+baaabbbbaabbbababbbbabbaaabbabbaaabbbbabbaaababbbbbaabababbaaabaabbaaabbaababaabb
+aaaababaabbbbbabaabbbbababbbbbababbaabbbabbbbbbabbaaaaaaabaaaaabaabbbaaaabbb
+aabbabbbbabbaabbbbbb
+babbabbaababbbbaababaabbaabaabbabababbaaaaaaabaabaabaabbabbabbbaaababbabbbabbbabbbaaaabaabababaa
+abbbabbbabbbbbbaaabbaaabb
+baaaabaabbbaabbbaaababbbbabaaabbaaaaabaaaaabaabaaabbbaabababaababababbaabbbbbabaabababbabaaba
+abaabbbbbaaaabbbbabaabababaaaaaab
+aabaaaaabbbbbbbbaabbbbabbbabbbbaaaabbaabbbabaaabaabababbaabbbaaaabaabbbb
+abbaaaaabaabaabbabbaaabbabababbbababaaaabbabbaaaaaabab
+baabbbabbbabaaaaaabbbabbabaaaaaababaabaaabbbbaabbaaaabbbabababaababababbbabbbbbbbab
+babbaaaabbbabbaabbbaaaaaabaababbbabbaaabbbabaaaabaaaaabbbaabaabaaaaaaaabaaabbaabbbaaaaaababaabaaaa
+baaabbbbabaababaababaaabbabaabababbbabbaabaaabaaaaabbaaaaaaabababaaaabbbbaaaaabaab
+babaaaaaabaaabbaaabaabbbaabbbbbabbbabaabaabbabaabba
+babbbababbaabbbaaaabbaabbaaaaabbbaabbaaabaababbaabaabbbbbaaabbaabbbbbababbaabbaabbbbab
+bbbabbabbbbbbabaabbbbbbabbabaaaaaabaaaaabababbababbabbabbba
+abaabbbabbaabbabaabaaaaaababbbababbbababbbbaabaabbaaabbaababababaaaaabbbabbabbbbbbaaabaaabaaababbabb
+aaaaabbbbaaabbbbbbbaaabaaaaababbaaaabbbaaabbbaaaababaaabbabbabaabaaaaaaabbbbaababbabbbaabbaaaabbabaababbab
+bbabbaabababbbababaaabbbbbabbbbababbabbbbbbabbbaababbbaabbbaababbbbbabbbabbbabaaab
+bbaaaabaabbaaabbabbabbaaabbaaaaaaaabbabbbbbbbaaaaaabbabababbbaaababbaabbaaaabababbbabaabaaabbbaaba
+bbbabaaabbbbbbbbbbbbaaabbbbbbaabbbaababaaabbbababbbbbbabbbbaaaabaabbbbaabaabbbbabaabbaabbbb
+aabbbbaabbababaabbaabbbababbaabbabbbbbbbaabaaabababbbbabbabababbababababaaaaaabaabaaaabaab
+aaabbaaaababaaaaabaabbbbaabbbbabb
+aabbabbbbbaabbbbabbbbabaabaaabbababbbbaabbabbbabbabbbbaaababbbbaaababaabbaabbaabaabbbaabb
+bbabababbbbabaabaabaababbbbaaabbbbbabbaabababbaaaabbbababbbabbbbaabaaaaaaababbbabbbaabbbbbabbbabbabaaabb
+aabaaaaaaaaabbbaaaaabaabbbaaabbaabbbbabaababbaaabaababbababaaaabbbbb
+bbbaabaaaaabbabbabaabaaabbababaaababab
+bbaabbbbbbbabaaabbbababbaaaaababaabaabaababbabbbbaabbabbbbaaabababaaaabbbbbbbbababaaaabaaa
+aaabbabaabbbaabbabbbaaababaabbaaabaabaababaaabbaabbbaaabaabaabaabaabaababaaaabbbbabbbabbaabaababba
+aabbababbbbbaabababbaaabbbbaabbbabbaaaabbaabbbbabbaab
+abbababaabaaaabaaabbbaabbabbaabaaaaab
+abababbaabaaabbaaaaaaaaabbabaaaabab
+aabbabbbbbabbbaaaaaabbabaaaabbaabbb
+baaaaaabbbabaaaabbbbbbbabbabbbaabbaaababbaaaaabaaba
+ababbabaabab
+aabbbabababbbbaaaaabbabbbbabbababbababbbabbaabbaaabbbabba
+bbbaaaaaabbbabbbbbbb
+baabbaaaab
+abaaababaaaabbbbabbbabab
+aaaabaaaaaababaaababbbbbabababaabbaabbaabababbbbbbbabaabaabaaaaaaabb
+aaaabbbbabbbbbaabbbbbbabbbbbbbabaa
+bbbababbaaaaaaaabbaabaaababaaaabaabbbbbabbbaababaabbbabaaabbbaabaaabaaabbbab
+babbbaabababbbaababbaaaaa
+babbaaaabbbbaaaaabbabbbbabbbbb
+aabaabaabbbbabaabbabaabbbbbbbbaabbababbbbbbabababbabaababaaaabbabb
+abaaaaabababbaabababbabbbaabaababbbbbbaababbabbababbaaaaaabaabaabbaaaaaaaababbbaaa
+bbabaabaabbaaaaabaabaabababbbaabbbaaaaaabbbabababbbbabbbababaabb
+abbbabaaaaababaabbabbbaabaabbbbaaabaaaabababb
+abbbbbbaabbabbbabbbbaabababbbbababaabaabbbbabaabbabaaababaaaabaaaabbbabaa
+ababaaabbbbbabaabaababbaaabaaabaabaaababbabaab
+baaaaabababaaaababb
+bbbaaabbbbaabaabbabbabbbbabbbababbabababababbaaabaabbbb
+ababaababbbbababbaabbaaaaabbabbbaabbabaaabbaabbababbbaaabbbaaabbbbababaaaaabbbaaabaabbbabaabaabbabbabba
+bbbbbbbaaabaabbaababbabbbbabbbbaaaababaaababababbaabaaababaababbbabaaaabbaababbbbaaabbbbaaaabaaaa
+babaabbaaabaabbabbbabaabaaabbaaaaaaababbbabaabbaabbabbaaaabbbbaaaabbaabbbab
+baaaaaababaabbaabbbbbaaabbbbbbbbaabbbabaabbabbabaabbbabbaabbaabaaaaaaabbb
+babbbabaababbbaaabaabababbabaaaaaaabbabababbbaabbbaabbaabaababbaaababbabbaaabaaababbbbbabaaabababa
+baaaababbbaabbbbbbaaaaaaaabbbabaabbaabaaababbabbabb
+abaaabbbbbaabbabbbaaaabbbbaba
+baababbabaaaabbabaaaababbaabaabaabaaaaabbaaaabbbbaabbaabababa
+babbaaaabaaababbbababbaaabaaaabbbababaaaaabaaaabbbbaaaaabaababbbbaba
+aababababbaaaaa
+baaaabaaabbabbbaaababaabbaabbaaaaaabbbababaaaaabbababbabaaabbababbbbaababbba
+aabbbbbbbbbbbbbaaababaabbbbaaaaababbbabbbbababaaabbbbaabbbbbbaaabbbabbbaabaaabbbaabaabbaababbaaa
+baaabbaaaabaababbaabbabbbbbabaaabaabaabaabbbbbaabbabbaababbbaababbbbaaaa
+bbaabbbbbaaaababaababaabbabaabaababaaabbaabbabbbbaaabbabababbbabbabbbaabbbbbabbabbababbbbaabbbbab
+abababbbbbbbbabbaaababaaabaabbaabbbbabbbbbaaabbbababbabaabbaaaabbabbbaaababbaabbbbbaabababaaabaabaabbabab
+babbaabbabbbbbbabbaabbbaababbbababbbbbbaababbababaabbabaabbaababaaabbbbbababbaabbaabbbbbaaab
+bbbbaaabbbbaaaaabaaabaaba
+babbbaaabaaaabbaabbbabbb
+bbaabbaabaabbabbaababbbabbbababaababbbbaaabbaababba
+aababbbaababaababaabbbbbababbbbbabbabbabbbbaaabaababbbabababaaa
+aabbbbababbaabbbaabaaabababababaaabbaabaabaaabb
+bbbbbaaaaaabbbbababbbbaababaaabaababbbbabaaaabababaababbaabbabaabbbaaabbb
+ababbbbbababbabbaaaaabab
+aaaaabbabaabbbbbabaabaabbaaaaabab
+baaabbbababbbaabbbabaaaaabaaabb
+abaaabbaabbbbabababaaaaaabba
+abababaabaaabaabbababbabbaabbababbbabbbaabbbbaabbaaaaabbabbbbbbabbaababbaabbbbbbbabaaaabaaaa
+baaabbabaabbbbabbbbaabbbabbbbaababbbaaaabbababba
+abbababbabbbbbbaabaabaaaabbbbabbbbbabbbbbbaabbba
+babbaabaababbaabbab
+abbbaaaabbbbbbbbbbabaabbbbaabbaaaaabbabbbaaabbbaabbababaababbabaabaabaaaababbaabbbabaabaa
+baaaaabbabababbbaabbbaaababaaaabaabaabaaababaaabbababbbababbbabbbabbabbaba
+aaaaabbabbaaaaaaabaabbabaaaaabbbbaaaababaababbabbbaabababbabaabbbbaabaabbbbbbbaa
+aaaaabbbbbabaaabaaaabbbaababbaaaaaabbbbaaabbaaabbbaaaa
+bababbbabbababaabbababbabbaabbbaaaaabbabaabbabbbabababaaaaaababbbbaaaaa
+aaaaaabbaabbaabab
+abbabbaaaabaababaaaabbbabbbabaabbbbbaabbbaaaaabbbbbaaababbabababbaabaaaabbbbbbbbbaaaaabbbaabbababbbb
+baaaaaabaabbbaaaababbbaabbbbaaabbbbaababaaabbbaabaabbbbbbbaabbbbbbbabbbababaaaabbabbababaab
+bbbbbabbaaaa
+aaabbbabaabaabaaabaabbbbbbabbabaababa
+bbbababbababbabaababbbbaabaababaaabbaabaaaabbbbaaaabaaabbabbbbaabbb
+abaabaababaaaaabbabbaabbaababbababbabbaaabbbabbbaaabbbaaaabababaaaaabbbaaaabbaaabaaabaabaabababaaaba
+ababbbabbabbaaaababaaaaaabbabbbabaabaaabbbabaaab
+bbbbbababbbaabbaabbbbbbbaaabbababbbbaaabbbbabbbaaaaabbaaaaabaababaa
+aaaaabaabbbabaaababbaabaa
+aaabaaababbbbaabbbbbaaabbabaaaabbaabbbaaaaaabababaaab
+baababbbaaaaaabbaababbbabaaabbbabaabababbabaaaabbaabbbaabbbbbbbbbbbbaaabbbabbbbbbbbabbabbbabaababbbbbaaabbb
+abaaaabaaabaabbabababbbbaabaabbaaabbabababaababbbbbaaabaaabbbbbaaaabbaaabba
+aaabaaabbbbaaaaaabbaaababbaaabababaaabaaabbbbabbabababaaabbaabaababaaa
+babaaabaaabbabbabbbbabbabababaababaaaababbbbbababbbbaabbababbaabaaaabbababbabaabbbaabbaaba
+baabaabbababbaaaaaabbbbbabbbbabaaabaaabbaaabaababaaaabbabbbabababbbbabbbbaaababbabb
+aababbaabbaaaaaaaaaaabbbbaababababbbbaababbbbbbaaaabbbbabbaaababaabaabbb
+aabbabbbaaaaababababbbababaabbbabbaabbbbaabbaababbbabbbaaababababaaabababbbbabaabbaaaabababbaababaaab
+abbababaaaabaab
+baaabbbbababbbabaaabbba
+babaabbaaaaabbbaaaabbbabbbababbbaaaabaaababbbbbbababbabbbabbbaabbbbbababbbbbbaabaabaabbbababbabaabaabaab
+bbbababaaabbaabaaabbbaababbbababbaabbaba
+aaaabbbbaabaaabbabaaaaabaaabbbabaabbabbabaabababbbb
+aaaaabababaabbabbaaaabbaaaabbaabaaa
+abbaabbbbabababbbaaaaaababababaaabbaaabaabbaaabbbaaabaabbabbbbabababa
+ababaabaabaabbbabbbbbaabbbbabaabbababaabaaaababaaaababaabbbbbbbbbbaaabbababbbbbbbbbbab
+aabaaabbbbababaabaabbaababaaababaaabbbbabbbbbabbbababbbabbabaabbbaaaaaaababaabbaabbbbbbaababbabbaaababbaa
+bbaabbbabaabbaabaaaaababaabbaabbaabbabaababaababbabbabbbabbaaabbabaaaaaabbaaababbaabb
+abaaaababbbababaababaaabbbbabbbaaaabbbabbabaabaabaababaabbabbabababaababbbbaaabaaabababaababbaab
+bbababbaaa
+aaababbababbabaaabaaaaabbbbaabbaaababbbbbabbbbaaaaabaaaaaababbb
+ababbbaabababaabbababbbbbaabbbaabbbbbbbbbabbaaaaaaabaabbabababbaaaababbaababbaaaaabaabaaaaaabb
+aabbabaaaaaaabbababaabaaaba
+abbbabababaabaabbabaabbabaabaaaababbaaaabaaaaabbaabbaabbaababbbabaaabbab
+bbbbbabaaabbababbabababbbaabaaabbabbbbbbbababbbbaab
+aaaaabbababababbaaabaabaabbbbbbbbabaaabababababaaabaababbbbbbbbaabbaabaabbababaabaaabbaabbbabbababababab
+aabaabbbaaaabbbabbbbaabbababbaaaaabababbaabbabbabbabbaaabbbaababaababaaaabaaaabbabababbbabbbb
+bbbbaabbbbbababbaaabaababaabbbabb
+aaaababaaaabbaabababaabbbababaabaababaaababaaaaaabbaaabaabab
+baabbbbbbabaaabbaaaaaaababaabaabbbbabbabaabbbabaabaaababbbbaaaaabaabbabbabbbaabaabbabaabbaabaabaa
+bbbbaaaabaababaaaaaaabbaabaaaaaababbbbbbabaababbaaabaaaaabaaabaabaabbaabaababbbaabbaabbbbbabbbaaaabbb
+aabaaababababbbabbabaababbaabbabaababbabaaaabaaabbabb
+bbbbbabbaaaaabababaaabbabbaababbaabbaabaabbbbbbbbbaaaabbaaaaaaaabbbabababbbabaabbaabababbbabbbbbabb
+bbaaaabaaaabaabbaabaababbbbaaaababbaaaaaabbbbabaaabbbaaabbbb
+babaababaabbabbaababbbbaabaa
+bbbaaaababb
+baabaaabbaabaaabababaaaaabbaba
+bbbbbabaaabababbbbbbbabaabbaaabbbaabbabbabaabaaabbbbbbabbaababaaababbaabababababbabbaababbbabaaa
+aaaabbaababbaabbbbaababbaabbaaabaaabaab
+babbabbbaaaaaaaabbbabababbbbabaabaaabbaababbaaaabbaabaaaabbbaabbaabaabbbbabaabbaabbaabaabaabbbaa
+aabaabbbbaa
+abaababababaaabbaabbababbbaabbababbbaaaabaaaababababbbaabb
+bbaaababaaababaabbaaababbbaabaababbbbabaabaabaabbaabaaabb
+aaaaababbbbabaaaabaababaabaabbbaaaabaabaabaaabaaabaaabbaaaabbbaa
+bbabaabbababbababbabbbbabbbbbaaabbbabaaabbbaaabababbabaabaaabababb
+aabaaabaaabbbaababbbbaaaabbabbbbbaabbbaaaaababaaababaabaaaabbbaaabbaabbbbabab
+aaaaaaabbaaaabaaaaabbaaaaaabaababababbaabbabaaaabbbbbbababaaabbaaabaaabaabbbbbbaabaaabbbaabbabaaa
+ababbbaabbaabbabaabaabbabaaabaabbabababbabababbbaaaaabaaabaabbbabbbbba
+baabbbaabaaaabbaaabaaabbbabaaaaaaabbbaaabbaaaaabbbaaaabbbbbbaaababbabababb
+aabaaabbaabbababbabbabaabbbbbbbbabbaaabbaabbabbbbaabaabbbabbabaaabaabbbababaa
+aaaaabaabaaaaabaabaababbbbaabbbababaabbbabbb
+bbabbbabbaaabaaaaabaaaaaabbbbbbaababbbabbbbabbbababaabbbabaabaababba
+aabaababbabababaaabbbbbababaaabaabaabbabbbaababaabaaaaaaaaa
+babaabbabbbaaaabbaaababaaaabbbaaaaabbbaabbabababababbaabb
+abaabbaabaaabaaabbbaababbbbbbbaabaabbbbaabbbaabbbbbbbbaabbabbabbaabbabaaaabaaabaaaaabaaaaaabbaaabbbabaaab
+ababbaabaababbbbbabbbbabbbaaaaabbbbbbabbababababaabbbbaabaababaaaaabaababbbbbbaabbbaabaaaabbaa
+aabbbbaabbbbabaaabbbbaababbab
+aabbaabbaaabbbababbbabbbbabababbbbaabaabbbaabbbababaaaaaaaaaabba
+baaababbaabaaaabbbbabbbbbaabbbabbbbabbaaaabaa
+abbbaababaabbaaababbbababbaabbbabbaaaaaabbaaaaabbababababbaabbaabaaaaabbaabaaaaababababab
+baabbabbaaabbaabbbabbbabbbaaaabbababbbbabbbbbaabbaaabaabbaaabababbbabaabbbaababaababbbbabbb
+abbbbabbbabbbabbbabaaaabbbaaababbbabaaabbabaabbbbaaababaaaaaaaaabaaabaababbaabaaaabaaaaaba
+aabaaaabaaaaaaabbbbaababaaabbaaaaababaababababaaabbbabababababbaabbaabbbaaabb
+aababbbabbbaabbaaaabbaabaababbbababbaabaabbbbababbabaaabbaaaaabbab
+aaaabaabbabbabbbababbabbaaabbabbababbba
+abaabbbaabbaaaabaababbbaaba
+aabbaaabbbbaabababaaaababbbabbaabbbaaaaabaabbbaabbbbbbbabbaa
+bababaaabbbbabbbaaabbabbabbbbaaaaabbbbabaaa
+bbbbaabbaaabbaaababbbaababbbbbbabbbabbaaabababbaabbaaaaaaaabbbaaaaaab
+babbababbbbababbabbaabbabaabaaaabaabbbababaaaaaaabbbababaaaaabbaaaabbbbaabbaabbaaaaabbaaaaa
+abbbbbaaaabaabbaabbabaaabababaaaabaaabbaabbaaaabababbaaabbbaaaabbababbbbbaaaaaaabaaabbabbbba
+bbababaaaabababaaaabaaabbabaabababb
+abbaabaabbbbbbbaabbaaaabbbaaaabaaababbbbaabaaaaababbbaaaaaabbaaaaabbabbbbb
+abbbbabaaaaabbbabaabaaaaaabaaabbbbbabbaaabbaaababa
+aabbabbaaababaaaababaaaaaaabbaaabbbabababaabbaaaaaabbbbaabbaabbbba
+ababbbbbbbbbaababababaabbbbaabbbaaabaaabaaababaabbabbbbaabaaaaaaabaabababaabbbaaababbbabbbaabaabaaab
+aabbababaaaababbbbababbabaaabaaabaaaaaabbbbbbbabbbbbbbbbababababaa
+babababbbbabbbaaaabaaabbaabbbbbbbaabbbaaa
+baaabbaaaaaa
+aabaaaabaababbabaabbbaaabaaba
+bbbbbbabababbbababababbbbbbaaaaabbbbbbbababaaaabaaabbbb
+babbbababbbaabbbbaaabbabaaaaabababbaaaaabaaaaaaab
+bbababbaaaaabaaaaaaabaabbbabbabbbbaaabbaaabbabaabbaababaaaababababaaabbaababaabbbaabbbaaaabababbaaab
+bbbaabaabaaaabbaaabbabbbbbaaabbaabaaabaabbbbbababbaab
+babbbbaababbabbbabbabaab
+babbbabbbbabbbbbbababababbbbbbbabababaabbaaaaaaabbbbaaabaababbaabaabbaaaabbabbbabaaabaabbbaabaaaabbaababaaaa
+aababbabababbabbbabbbababbaababbbaaababbbaaabababbbbaaaaaaaaabbabaabbabbbbab
+bbaaaaaaabbaaaaaaaaaaabababababaaabb
+abbbaaaaaababaaaaaaabaabbaaab
+abbabbabbabbaabbbbabbaaaababaabaaabaabaaababbaabaaabababbababaabbabababbabbbbbababaaaaaabbbabbaa
+abaaabbabababaabbbabbabbabaaababbbbaab
+bbbbaabbaabbaaaaaabaababaabbababbabbbaaababbababbaababbaabababbbb
+babaabbaabbbbaabaaabaabbabbaabbbbbbbbaaaaa
+abbbaaaabbbabbabbbabaabaaaaabbbabaabaabababbabaaabaabbbbababbababbaaa
+abbaaabbbbaaabbabbbaaabaabbbbbbbbbbbaaabbbaaaabbaabbababaabbaaaabbabbbabbabbbba
+bbabababaabbaabaabaaaaaaaaabba
+bbbbabbbaaaabbaababbababbbabbbababbbabbbbbaabababaaabbbaaabbbaaabbaabbb
+abbbaabbaababbbababbababbaabbbababbabababbababbbbbababbaabbbaabaabbababbbbbbaabbbbabba
+aaaabaaaaaabbaaaaaaaaaabbaaabaababbbbbaabababbbaababa
+aaabaabbbbbababaaabbabbbaabaabaabbbbbbbabbbbbaabba
+abababbaaabaaaaabababbbabaababaaaabbbabbabbaaaaabaabababababbaabaabbbbbbbbabaababaababbaaaaaabaabb
+bbbaaabbababbbababbbbbbaaaaabbabbababbabbbabbaaabababaabaabbaabbaaba
+bababaabaaaaabaabbbbbbbbaabaabaaaabbaaaaabaaaababaaabbbaaaabbbbaaaaabbabbaaabbbbaabbbaa
+aaaaaabbbabbbbbabaabbabbaaaababbabaabbbabaaabaabaabbabbbbbaaaaaaabaabaabbbababb
+babaabaabbbbbbbabbbabbbaabbaabaaabbbaaababba
+abaaabaababbabb
+aabaabbabbbaababaabaaabbaaaabbabbaaabaabbbbbabbbabbbaababaababbaabaababaaabbb
+baababbababaaabbaaabbbbbbbaaaaabb
+abababbabaaabbababbaabbbbbbabbbabbbbbaaabbbabaaaaabbabaaaabab
+bababaaabaaaaaabaabbbaababbababaaaaabababbbbbababaabbabbbbb
+bbaababbbbabbabaabaaabbbbaaabababaababbaab
+aaabbbababaaabbababbbababbbbbbbabbbbbaaabbbabbbaabbabbbabbaababbbabaabbaababab
+babaabaaaabaaabaabaabaababababbb
+aaaabbaabbbbbaaaabbbbbaaabbbbaabababaabaaababbbbbabbbbabbaaabaaababaaabbabbbbaabababbabbbbbb
+abbbbbabbababbaababbaabababbbab
+bbabbbabaabbaaaaaaabbabbaabbaabaaabbaa
+babbaaabaabbbbaaababbaabaaaabbabbbbabbbbbaaaaabbbababaabbbaa
+aabbbabbabbabababaabbabaababaabababbbabaabbaababbaabbbbabbaaaabbabab
+baabbaaaabbaababaaabaaabaabbbbbabbbbabbbaabaaaabaaaabaaababbbbaaabbababbbabbaababaaaaaabaab
+bbabbaabaabbabbaabbb
+bbaabaaaaaaaaaabaaabba
+bbbaabbbbbbbababaaababab
+bababbbabbbaaaba
+bbababaabbaababaaaaaabaabababbbbababababbbaaabaaabbaababaabbaababbababbaababababaaabbbaabaabbbbbaa
+aabbbbaabbbaabbbabbbbba
+bbabbbabbabaab
+bbbbbbaabaaaabbbbbaaaabbbabbaabbabaababaaabbabaaaaababbaaabbabbaabbabbbabaaaabbaaaaaaabbbabaabaaa
+abbaaabaabbababababbaabb
+babbbbaabaaaaabb
+abbaaabbaaaaaaaaaabbbabababbbbbaaaabbbbbaabaaaabbaaabbabbaabbbbaabbaaaaaaaababaaaaabbbab
+aababbbaabbbbaabbaaaaaaabbbaaaaabbabbaabbbbaaabbaabbabba
+abaabbbabbbbbbaaaabbbbaabbbbaabaababbaabaabbbbbabbaabababbbbbbbbbbaaaababbabaaaaaabbaababbabaaaababbbb
+bbaaabbabbbababaaaabbbbbbabbbbaaaabbbaaaaaaabaaabbbabaaabbababaaaabbaabbbaaab
+abbbabbabbbaaabbbaabaabbbbbaababa
+abbaabbbabaaaabbbababaababababaaababbabbaaaabbbbbabbabaaba
+aabbaabbaaabaaaaaabbbaabaaababbababaaabbaaababbaaabbbbbbbababaaababaabaaaabbbabbababbbbbbbbaabaababaaaa
+aababbbbabbabbaaaabababaaabbaaaaaabbbbbbbaaabaaabbbabbaaabaaaabbaabababbabbbaababbaaabbabbbbaababababa
+bbaaaabaaaabbbaababbaaabbbababaaaab
+baaaaabbbababbbbabbbbabbbbaaabbabbabaaaabbbbbb
+babbababbb
+aaabbbbbbaabbaa
+aaabaabbaaababababaababaaaaabbbaabaabbbaaaabaabababbaaaaaababaaabb
+bbbabababbbbaabbbabbbbaabbaabaaabbbaaabbaaabaaabab
+baaaababbaaa
+aabaaabaabbaabbbabbaabbababababbbbbbbabaabaaabaaabaabbabbaa
+aaaaaaaaababbabababbbabbbabbaabb
+aabbaababaaabaaaa
+baaabababbaabaababbbaaabbaabababaaaaabbabbbaabbbbbbabaabbaaaaabbbbbbabbbbb
+bbaaaaaaabaaabababbbbabababbaabbbabbbbbbbbbabaaabaaaabbaababababbaab
+baaaabbabaababbbbbbaaaabbbbbabbabbaaba
+bababaabbbbbaaabbabaabbbaabaaabbbabbaaaaabbabaaaabaaaaaabbba
+aabbbababbbaaaaababaaabababbbababaabbabaabbbabbbbabbbbaabbba
+bbabbaababbbbaaaaaaaabbbabaababaaabbaaabbbbabaabbbaabbbaaabbbabaabbaaabaabaaaabbababaaabbbbaabbbbaaa
+38 11
+dbccbdabbcdadddabadbcccbdcaaaaccccbddaabbcddadadacaaaaaccbaacdabddddd
+cacacdcbbabdcaadcccbaddbbcbaabacbccbabdddbdabacadacdbbbdacadbbdaadaccdbddc
+adcbaacacddbdbcabdabbbdddacdadbadabaccdbbdcccccddabadaaddadcbbaccdcdddcdcbcdabcccadabbaaadbbccdcdcbddbcddcac
+aaddcdbabdcaacbdbccbaacabdaddbaddbbbbdabdacaaddddabccdaddddcbabcbc
+cddbaabcdadcaacabcddbccddaaadadcdbbcccacbabbacbcacddabdaacddddcddbaabcacbdbacbddaadaadbadcadaadccddc
+ddbcbdcadadbcbcbacabaaabdadcbcabccccbabaabdbdcccccbdaadddbaacdccccddbbdadcdccccaccad
+bbaaddccdaacddadadadaaaacdbacddadcabbcddad
+daacbcbddabcdcacacbaabddbbbadbabcaabacbabddbddbbcaccbdbadadbccabcdacdddabdcccdadddbaac
+abdabadadabbdcbcccbabbcdaabbadbabbbaadddccabdccdabccbabccadcaacbadbabadbaccbcacddcaacaadbc
+bdccabaadadabaaaacc
+cdbabbdbbdaccaacddbbbdbbbccacaacba
+bcaddbcccacacadcdcccabbcadbaccdbacdbddaaddaaaadacbbabbabdcdbdadddaabdabadbaddcacaaccda
+dbacdcddbccaccbadacbacbacacdcbdaaccadbbdcbdbcccddadcdadbdabadbdbcbdc
+ddaddcaadaabbadaabcdbbda
+bdcacbaaccaacbbadcdbbdabdbbdacdccbaadcdbdcdadacbcabbaddabdddaddbb
+addadbcbcbadadbacdbddacaaaabdcbcababcbcbbddbccccabaaadacddaaabbcbc
+abbaaccadbcbdadbcbcdcbbddbcbbcaccbbdabccbdcbabccaaddcbdbcdaaaaddabaddacabd
+caabaadccdddddbdbbbbacbbcbadcbbcabcdcbdbaaabaaaccbccadbdccdcbbccdddabcabdcdc
+bdddddccdccbbbdababddbdbcbadaacadbdbcaaaaadbaddcacabdccdddcacdbbccaabbadcbb
+adbdcabdccacdaaadcdcdcaabaddbddbaaabbddadddaacadbaaaddbbbdcbacbacdacdbdcdaddcddadabbacbccacb
+abaacaccadbaaabccadbbbddbdbabcaacdadddddcbaab
+ddaaaacbcbbbbbacaacbddcbccccdbaabdbdcbdbaadbbdaaacdbbdbcbacacbdaabccbcabaababcccbaaadadbabbcbdaccadbbcdbdb
+ccccdbccabaabccabcdcadbbba
+abcdcbcdbcacacadabcbbddaaaddbcdaacbbaaacbddbacbaabbdacdac
+abcddbbaaadad
+dcbbbcabaaddaaadabcddaaaacbcadcdcd
+bcbcbcdbbacaccbbdccdddcdd
+cbababbabdaabadcdcbcdccaabcacccddcadadaaddbabcad
+bdbaddbdaaca
+adbcacdabbcadaaaacacccdcbbdbcbcbdbacbbcdaadcddaccaaccacdccdccdcdbdcaccbdabccaabbbaccacabbdaccaccddbbbba
+daaacaaababcbacdbacbdaadcdaadabcadcadbdbacbaaaacdbadcc
+cddddbabadacaacbacdbabdacbbdaaacddaacbcabadcbadbaacbccdbdadcadcadacabaccadcddaabbaddacdcbaabadadbdccdcbdb
+dddaabcabdacbdabdbabadbdbbbabcbdcad
+acabcdadbdcabbbadaaddaacdabbaaaddbcadbccabcaaaacdcbbcdcccbbcc
+dbacccabbcbbccdddbbdbdddacabcdcacdacddbcbabaaabbdaaacdaacbaccdcaddb
+dacdcccddcbbdabddcaadaadcbbdabdcccb
+cacccccbddacbddccdbcccbbccadadaadaacadaacbadbabbcbddd
+aabdabdddadbacdbbdabdddacdcbdbccbbbdaddbdabbaddabdbdbccabdbbcdcaaaa
+44 27
+bbbaaabbbbbbabbaabbbabaaabbbbaaababaabaabaabaaababababbbbbabbaabababbaabababbbabaaaabaabbabababababbbaaaab
+aabbabaaaaaaaababbaababb
+aabbaabaaaaaabaabbbbaabbbbbbbaabbbbbabbabbabbba
+bbbababbabaaaaaabaabbbaaabbbbabbaa
+aaabaabbbaabaabbbbbaabbaabbbbaaaaabaaaabbabbbaaaabbbbabab
+aaaabbbbbabaabbbbaaaaababbabaabb
+aaabbbabaaaaaaaababbaababbaabaaababbaaaaaaaabbabbaaaa
+bbabbaabbbbbbaaaaabbaabbbbbbbaaabbbabbaabbbbbababaaaaabbaaabaabbababbbabbb
+babbabbbababbbbbbabaaaabbbabbbabbaababbbbaaabbabbbaa
+abbbaaaaaabababbbbbaaaaaaabbbbabbbabbbbababbbbbbbbababaababbababbbbaabaabababbbbbbaaabaaabaaababbabaa
+baaaabbbaabbbbbbabbabbabbbbbaaabbbbbbababaabaaaaabbbaababbaabaabbbaabbabbababbaaabaaabbaababba
+aababbbbbaaaabab
+abbbbbabbbbbabbbaabaabbaabbabaabbaababaaababbb
+aaabbaabbabbbbbbababaababbbabbbaaabaabaabaa
+bbbaababbababababbbabbabbbaaabaaaaabababaaababbababaababbababababaabbaaababbbaababbaabbba
+bbbbabbbbab
+aabbaabbbaabaabbbb
+abbbabbbbaaabbbaabaabbbaaaababbbabaabbabbb
+baaabbaaabaabaababbbaaabaabbabbabaababaaaababaaababbaaabbabbabaaababbbbbabbbaababbaa
+bbbabbbbbbababbbbabbaababbbabbbabbbbbbbaaaaabbbbaaa
+aabbabaaabaa
+ababbaabbaaaabbaaaabaaaababbbaa
+ababbabaaabbbaaaabaaabaabbaabababbaaaaaabaabababababbbaaaaaaab
+aaaaabaabbaaaababb
+bbababbabbbababbaaabbabaababbbabbbbbbabbbbaaaabaabbababaaaaababaabbaabaaabbaaaabbabbbaaabbaabbaaaaba
+bbbbbbbabbabbbbaaabaaaabaabaaabbabaa
+aabaabbabbababaaababbabaaabbbaaaaabaababbaababbbaabaaababaababbbababbbbbaabbaaaaabbabaab
+aaabaabbbbbbabbabaaabbaabababbbbabbaaaabbab
+bbbbbbbaaaabaaabaaabbbaabaaba
+bbaaababaabaaaabbaabbbaaabbababbababaabbbbaababaaabbbbbabaaaaaaaaababaabbbaaabaaaabaabbbaaa
+ababbbaaabaaaababbababbababababbababaababaabaaaaaaabaabbaabbbbababbaaaaabaaaabbbaabbbaabbbaaabbabab
+aaabaaaabbbbbaaaababababbbbbbabaaaabbbbabbabaabbaabbaabbababbbbabaaaabaaaabbabbbbbaabab
+baaabbbaaabaaaaabbabaaababbabaababaababbbaaabbbbaaababbababa
+aabaaabbba
+baabaaaabbaabaabbbababaaaaabaaabababaaabbbababaaaababaabaaaabaaaabbabbbb
+abaaabaaabbaaabbababbbbbabbaaaabaababbabbabbba
+baabbabaaaabaaabbbabbaabbbaaabaabbabbbaaabbabaaaaaabbbbaaabaaabbaabbbbbbbaabbabaabaaabbab
+babbabababbabbbaaabababbabbaabbbaabbbbbaaabab
+bbaaababbabaabbaabbbaaabbababbaabaabbbbaabaaababbabbbabbbabbbbbbbbbababaababbabbabababbababaaaaabbaaaabbbbb
+abbabbabaabbbbababbbabbbbbbbbabbaaaaababbbababbbbbbababababbaaaabbaaaabbabaabbabaabbbbaabab
+abbabbbababbbbaabaaaaabbbbab
+aaaaaaaaababb
+babababbaaaabbaababababaabbbaababbbaabaabababbbbbaabaabababbbbaaaaaabababbaaabab
+abaaaaaabaaababbaaabbbbbabbaaababbbabbbaabbabaabbabbaaababbabaaaaabbabbbbbbababaaaabbbbbaaaabaabbabaabbbaabbb
+126 87
+bbabbbbaabbabbbabbbabbaaaaaabbbbbbbaabaababbabaabbabbaaaaaabb
+abbbabbbbbbbbbaaaabbaabababbabbabbabaabbbabbabaabaaabaaabaabbbaabaabbaaababb
+bbbbbbaababababbbaaab
+bbaaaabaabbabbbbbbbbbbaaabbaabaaaaabbbbaaabbbbaaabaababbbbbaabaaaaabbbaaaaaaaabbabbbaaabbbbab
+babbbabaabaaaabaaabaabbabaaaabbabbaaabaabaaabbabaaaaabbbaababaa
+aaabaabbbbbbabaaababbabababaaaabbaabbbbbbbbbbababaaabaaababaabbbaaaaabbaabababbaaaabbbaaabbaaaaabbbaaba
+aabbbaaabaaaaabbabaabaaaababbabbaabbaaabaaaabbbbbababbaaaaababbbbbbbabbbaaabbbaaaabababb
+babababaabababababaaaaaaababababbabbaaaabbbabaaaabbaabbabbbaaaaabbabba
+aabbbbaabaabaabaaabbabbbaabaaabaaabbaaabaaabaabbaabbaaababbbbaaaabbbabaabbaabbbaabaaaabbbbbbbab
+aaaaaabaabababbbabaaabbabaabbbbaaabbbbabbbabaabbaaaaabbbaaaababababbabaababbbaaabbb
+babbabaaababbabbbbabaabbbabaababbbabababbaaaaababaaabbaabaaaab
+aabbbabababbaaabbbaaaba
+abbaabbaababbababbaababaabbababbbbbaabaaaaababbbababababbabaaaabbaababbbbaaa
+bbaaaababaabaaabaabaaabbbbbbaaaabbaaaaabbaababbbaaabaababbaabbabaaabababbbaaaababbabaabbaa
+bbaabbaabaabbbbaab
+abbbabbbab
+ababbbabbbaaaaaaaaaabbababbbaabaaabbababaaaabaaaaabbbbbabaaaaaabaabb
+baaabbbaababaa
+abbababbaababbbbabaababbbbbbbbabaaababbbaaaababbaab
+aaabbaabbbbbabbabbaabbabbabbbbbababaaababbbbbaaaaaabaabbabaabbbabaaabbbbabaabababaaaabababaabababbaa
+ababbabbabaabbbbbabbabbaabbaabaaaaabb
+abbbaaabbbabaaababba
+aabbabbababaabababbbbbabbabbaabbaabaaaaabbabbbab
+bababbaaaaababbaaaababbabaabaaabaaaabbabbbaaaaabbbbbbbabbaaabbaba
+bbabbabbabaaaaabbbababbbbbbaaaabbbaaaababaabbaaabbabbbbabaabbabbbbbaabaabbbaabaaaaaabaaabaaa
+bababaaabaabbaaabbbbbbbbabbbaabbbaabbbbaa
+baaaabbabbabbabaaababaaabbabaabbaaaaabbabbbbabbbaabbbbaaabbbbabbababbbabbabababaabbb
+aaabababba
+aaabbabbbaaabbaaaabbbaabbbaabaaabaaaaababbaabbabaaabbaaaaabababaabaaabaabaaab
+bbabbbbbbbb
+baaabaabababababaababbaaaaabaabaabbaabbaababbaaabaabbabbbbaababaabaaabbbababbbbbaaaababbbbabbbbbabbbaa
+bbbbaaabbabbaaaaabbbbaaabaaabababbbbaabbbbaaaabaaabbbaaaaaaabbaabaabaab
+ababbaaaab
+baabaaaabaaaaaabbabaaabbabaaaabbbbbaaaabbabbaababaabbbabbbbbaaaaaaabbaaababbaaaaabbabababbabbabbbbba
+abaaaabababab
+aaaaaabaaaababaabbabaababbaaaabbbabbbaaaaaaaababaaaaaaaababbbbbbabbbabbabbabbabbbbbaaaaaababaaa
+bbabbaababbbbabbabaaaabbbaa
+baabbabbaaaababaaabaaabbaaaaabbaababba
+ababbaabbbabbabbbaabbbaaaaabaaaaaaaaaabababbbbbbbabaaaaabbaababbbaabbbbaababbba
+aababbbbabaaabbabbbaaabbabaaabaaabaabbbaaaaaaaaabbaaabaaabaaababbabaab
+aaaabaaabbbbbabbbbbbbabaaabaabababbbbbbabbaabaaabbabbaaaabbbbbbbabababbbbababbbbbb
+aabaaabbabaabbabbabbbaabbababbaabbaaabbbbaaabbb
+baaabbbbabbbbbabbabbababaabbbabbaabaabaabaaaabababbbbabbabbababaaaaabaaabbbaaaababaababaabbbaaaaaabaaaa
+abbbbaabbaabbbbbabaaaaaaaaaabaaabbaabaaababbaabbbb
+ababbbbbbabbabaabbbabbabbbbbbabbbbbababbbbbbabbbaaabbbabbbabaaaa
+ababaaabaabbaabbaabbababababbbbabaabbabaaaaaaabbbbbbababaaaaabbabaaaa
+baaaaaaaababaaaaababaababbbbbbabbbbaabaabbbbbababababbababbaaaa
+baabbbaabbabbaba
+babababbabbbbbaabbaaabaabaababbbbbbaaabbaaabbaabbaabbbbbaaababaabaaabbaa
+abbabaaaaabbaab
+babaabbaabababbbbaababababaaab
+aaababbbbbbababababbaaaababbbaabbaabbbbbaabbbabbaaabaaabba
+aababbaaaabbabaaaabbaababbaabaaaabbbabbaabaabababbabbbbabaabbba
+aabbbbbbbaaaaabaaaaabbababbabaabababbabaabbaabbbabaabaaaaaabaaaababbaaaabbbbbbabaaaaabaa
+bbbbabaaaaabbbaabbbbaaaaaaaababaaaaaabbababbbaaaaabbbabaaaabbaababaabababbbbbabbaaaabbaaabaaabbbaaaabbaa
+aababbbababaabbaabbbbbaaaaabbaabbbbaabbbabaabbbbaabbbaaaababbbaabaabaaabaaabbbabaabaababbbb
+abbaaaabaababaabbababbaabbbabaaaabbbbaaaaabababa
+babaabbaaabbbbaababababaabbbbbaabaabbbba
+bbabaaaabbbabababbaabbabbababbaabbaabbabaaabababbaaaaababbaababaabbbabbaababaa
+abaaabbabbbabaaabbabbababaaaabbbbbaababababbbbaaababbbbbbaaabbaa
+aaaababbbbabaabbaabbbaaaabbabbaabaababbbbbbbbbababaabaaabaab
+aabaabbbbbabbbaaaaaabaa
+aabbaabaaaabbbbaabaaabaababababaaabaaaabbaabbaaababaaababbbbabaaaabbbbbaababaaabbbaababaa
+bbbbbabbaaabbaaabaabbabbababaabbaaabababbaaabbbabbbbaaabbbbbbabbb
+baaaabbbaaaababbabaaababbbaababaabaaababb
+abbabbabbaabbaababbbbbabaabaababbaaaabbabbabaaaaabbbbbbabbaabbbbbbbbaabaaaabbaabbabbb
+abbaabbbbbbaababb
+abbbbaabbabbbbbbbbbaababbababaaababbaababaaaaababaaababbbaabaabaabaaaabaababbbaabbabaabbbaaabbbbaabaababbba
+baabbbbbbabaabaaaabbaaaaaabaaabbaaaababaabbaabaababbabbbaabbaaabababaaabaabbaaaabaaaababaabba
+baaabbbaaabaabbbbbaabbbbbbbaabaabbbaaaabbaaababbbaabaabaaabaaaabbaabbaa
+bbbbabbbbbaabaaaabbabbbabbaababbabaabaaabbbaaaabaa
+aabbaabaaababbaabababbababbabb
+bbbbbaabaabaaaaabbabbabbbabbbbaabbaaaabbbbaabbaababbaaaababaabbbababaaaaabababbbbbababbaabaabbbabb
+bbbbaabbbbbbaaaababbbbababbbbaabbaabaaabbbbbaabbababaaaaaabbbbbbabaabaaaaabaabaaaabbbaabaababaabbaaaaaabaa
+aababbabaabbaaaaaaaababaaaaabbbaaaaaaaaabbaaabbaababababababaaaabaaabbbbbabaaabaaaaababa
+baabaaaabaaaaabbbbbabbbbbbbbbabbabbabaaaaaabaabbbaaaaaaabbabababbabababaababaaabbbabbbbaaabbababbabbaabbab
+baaaaaabbbabbbbbaaaabbaabbaaabaaaaababbabaaaabbaababbbababaabbbbbabaabbaaaaaaabbbbaaabbbbbbabaaaaabb
+aabababbaaaaabbbabbbbaaaaababaaaabaaaabababbbbbaaababbbbbbababababaaaabababba
+bbbabbaababbbaabbbbabbbaaabbaabaaabbaaabbabaabaabbaabaabbbbaaabbbbabbaa
+aaaaababbaaabbbaaaabaaaabaabbabababbabbbaabaaabbaabbababbaaaa
+aabbbabbabababaabaaabbaabaababbbbaabbabbabbbbaa
+ababababbbabbaababbbba
+bbaaaabbabaaaababaaabbaaabbaaaaababbbaaabbbaabaababbabbbbbbaabababbabbbbbbbbaaababaababaabbaba
+baabaaabaabbabbabbbabbba
+babaaabbaabbbbaaabbbbbbbbabbaababbaabbaabaababaaaaabbababa
+baabaabaabaabababaabbbabbbaaaaabaabbaabbbbabbaaababbabbaaaaabaaababababaaaaaababaab
+aabbbbbabaaababba
+abbbbaabbbbbabababbaabababbaaaabbbbbbbabaababbbbbbabbbabbbbbbbbaaababbbbabbabba
+baabbaaaaababbbaabbaaaaaaabbbaaababbaaabbaababaabaab
+baaaaabbaaa
+babbbbbbabababbaaabaab
+aabaababaaabbaba
+babbbaaaabababbbabbbaabaabbaaaabbabbaaabaaababaabbbbbbababbabaaaabaab
+bbbaabaabbbaaabaabbaabbbbaabaaabaaaaaaabbbababbabababbabbabaaaabbbaababbabbabb
+aaabbababbaabbaabaaaaabbbbbaabbbbbbbabaabbbaabababbaabbbbbabaaa
+abababbaabbbabb
+abbabbaaaaababbaabbabbbaaabbababaaaababbababbbbabbbbababbbabababbabbbababbabaabba
+aabbbabbababaabbaabbaaababbababbaabbabbabaaaaaaaabbbbabababbba
+bbbbababaabaaaabbaabbaaabbbbaabbabbbaaabaababbbbbaaabbbaabaaababbabaaaabbbbaababbb
+baabbababaabaaabbaabbbbbbbababaabaaababbbbabbabaaaababaabaaa
+bbaabbabbababbaaabbbabbaaaabb
+aababbbababbbabbabaaaaab
+aaaabaaaababbaabbaaabbbaabbbaaabbaaaaaabbbbbbbbbabababbbb
+bbbbaaababaabbbbabaabbaabbbbaabbbaaababaabbbbbb
+bababaaabbbaabbaaababaaaabbaabaabbababbbaaabaababba
+bbbbbababababbababaaabbbbbabababbbbbbabbabaaabbbaabaaabababbba
+aabbbbbabbabbbbabbababaabbaabbaaaabbbbabbabaaaba
+baababbabbbbbaaaaabbbbaaaabaaaaabaabbababbaaaababaaaabaababbaabb
+abbabababbabbaaaaaaaaababaababa
+abbbbabbabbabbbaabaaaabababbaaabbabaabababaabaaabaabbbaabababbbabbbaaabbabbabbbababbbbabbbababbb
+ababbbbabbaaabbbbbaaabbabbaaaaabbaabbaaabbbababaaabbabbbbaabbaabbaaaaaabababaabbaabbbbbabaabbbbbbbabbab
+aaabbbbbbabbababbaabbaabbbaabbbbbbabbaaaabbabbbbbabbbbbaabaabbbbbbbabbbbaaaaababaabababa
+bbaababbabbaaabababaabbbbbabbabbaabbabaaabbbbbabbbbabbaabbaaabbabaaaaababbbaabbabbbbaa
+aabaabaaaaabaaaaaabbaaaabbbaabababaaaaaaabbabaaabbbbbabbbabababaababbbababbbabbbaabaabbaaab
+babaabbbbabaabbabbaabbbaabaabaa
+bababbabababbbbbaababbababaaabaaaaabbabbab
+bbbabbbbbbbbaaabbaabbababbab
+abaaaaabaabaaaabaaaabbaabbbaabbbaabbabaaabbabbababaabaabaaaaaababaaaaaaaabbabbbbbbbabbaba
+abbbaabbaabababaabbabababbbaaababaabaab
+aabaaaaabababbaaaabbbbbbabbaaabbabbbaabaabbbabaaaabaabaaaababbbaaabababbaabaabbabaaabbbababbaabb
+abbabbababbbbabbbbaabaabbaba
+baaaabaabbbbaababbaaaaaabbabbaabbbbbbababbabbabbbbbbbbbbbabbaabaaaaa
+bababbbbbabbbbaabbab
+babbaaabbb
+babbbabbbaabbbbbaaabaabbbbbabaaaaa
+baaaabbabaabbbbababaaaaaaabaabaabbabaaabbbaaabbbbbbaabaabbabaaaabbabaabaabaaaababaaaabbabaabaabaaabbba
+126 126
+acacaaaaabcbbcbcacaabbaabab
+aacaabbabbccbcacbabbbcacacabccaacccca
+acbbbabaacbbbbaccaacabbbccacababccbbbabcbabcbaabcbacacba
+bcbcbccccbccacbabbaacaacbbcabcbcbcbabbaacbccbacacacacccbbcbbbcbbcabbbbccaacabaacaccaacaabcbbcbbbcbba
+bbacccbabaabb
+ababbacbbcabaabccbccaacacabacacacacabacccccacacbbabbcaacaabbca
+cbbbacccbccccabbcbbcaccabaabacccbcaacaabacabbbaacbbcacaaccbcbabbcbaabaccaacabaccbcbbaaccaabbbbbcaabbacacccba
+bcbccbaaacaacccbbabbbcbc
+bccbbcacacbbccaa
+aabcacbcabbcccaccbcbabcaaaaabccabcbb
+ccbcaaabbbacccaccaacbbbcacabbacbbcbcaaacaaccbcbacbababbaababcaccbcabbbbaaacbab
+caccabbcbaacaccbabbbbaacccba
+bcbbbbbccaaccbcbcabccccaaacbcbaccccabaaccabacbcbabcacbaaaaaacbbcbcaaccbacaaabaccbcbbbaaccaacaa
+babacbcbccbaaacabaaaaccacbcbbbaba
+acacbbbabbaabbbcacacbabacacbbbbaa
+ccaabcabaaaacbbbbbaaabccbccabccbacabbccbcbbccbccacbabbacccbccbcbbccacbbbabcbcbacbc
+caaabacaccaaacabcbcbbaaccbcbccaaababaabbaabcacbccabcaaaccaaccbcbaacbbbcbcbbbbbbaaaaabaccaabcbcbbc
+cccbbabacabaccccccabaabbbcacbabbbcccabaccaacbaacacbcbbcbbbb
+babcbcbcbbcccbcbcbaaabcaccbaabbbbcccaccacbbcbaaacbaababaababbabcbbbbbbccbbbcbaacaababccbbaacabbabccbbcbbcbb
+cbccaaaababaaccacaccaacabacbbcccccbccbcaacaacacabbcbbcbcbabcbabb
+caabbcbcccbbbcbabaaccacabcccccbaacbcbbcacbcccca
+bbcaabcaccbbbababaa
+abbbbaccaaaccaaccbacacaababcabaacbaaacbbbaacbaabaaaabcaccaccaaac
+bbacabcacbabaccb
+cbbabababcabacabbacabacbccccbbacabaaaccacbaababacababbcccbbcbcaacaccaabaacaacccaaa
+bacccbbaaabbaacccbbcababaabcbbbbaabcacbc
+cacacbbbbcbbcbbbbcaa
+cabacabbabcacabbccaaabaaaaaccbaccbcaccabaacabccabaaa
+aabbabcabccacacababbbcc
+abaaabbcbcbacabcbacacaacccabbbbacbbb
+ccbcaacccccbccbbcccbabcccaababacbacbabcacababcbaaaccabbcacabaccbcbbcbacccacacacbccbccbabbbccbbaaacb
+baaaacccccac
+abbcabbbccacabbbaaabccbabbbcaabbacbaababcabbababacbaccccaacabcabccbbcabcaacaab
+aacbcaccacbaabccabccbacbabcaccbccabcbccbaaaaabaccacabbcccbbacaccbccbccbbbaaacccabbbbaaaababccabaaacbbacbcbcb
+bacaccababcaaacabbcccb
+cacbaabbcababaaaccbcaabbcccbcbccccbacabcbccbbcaaaabbbcabacaacaccbabaacaccca
+bbaccabbccbabcaacbacccaaccacbcbbabcccbcbbbccabcccabbbbbcabacbbbacaccbcbbcbaccbbbbacaba
+cbcaccccbbabaabbbbabbcbabbabbbaccbcacaabaaccbbabaaabbcaaccbbaabccb
+bcabaaabccbababaaacaacabaababacacccaccabacbbbcaacacaaaccabacccaacbaccaccaccaaaaabbaaba
+ababcbbaacccbbabcbbbababbabccababab
+baaacaccaacc
+aabcaccbbaabcaccaabbabbcbbccbbccbaccbbacacacacababcaaaacabcbbaaacaacca
+ccacbaaaacccacbcbaacbaacaccbbacabacbbacaaccccaababacbbcbbcacacbabacbbab
+ababbaacbbbaaaabbcbcbabcbcabcbbbbaacaacbbbbccbbac
+aabbaccbbcabbcaacababaccbcbaacabaccaacbbabccbabaccbbbbbbccbcaaaaacaa
+abbabacaaaccbaabbacbccacaaacacbcbccaaacccbccbbaaaaaaccaabbbcccbccccbbcabbcabcaaccbcaaccccbbcbabcacbbca
+accaabbbacaaaabaccabaaaaababbaccbbaccbcbbbbbcaccbcabccbcacacbbbaacccbbbccbcbbbbac
+abccccaccbcbcaccaccbbaaaacbcbcbaaccabbcbaaccbaaccaaabababcaccbbacabbbbcbbbbaacabbbababcbabcbbc
+caabbcbbbbbabccaaacacbccccaabccacaaabcabacaacaabcaaacababbabbacccbbcabaa
+abaccccabcccccbacbbaaccbbccbcccab
+cabbbcbcaacbbccab
+caabcbcbabacccaaaacacaba
+cccccaabcacbccbcbabccabcaabbcbbbabbbbbabbaaabbaaaabababbbabcbcccaccacbbbbacbacaababaa
+caccaabcaacaccabbbcbaccbccccaccacbbabbcccbacabbabbabbbbcccabbbaaabaacbbbbbabc
+aaaaacccccacabbcbbbbcacbcbaaaabbcbcbacbcccbcabbccababcaacb
+bbcbbccbbbbaaabaaa
+abbacbbabcabcbcaabccababcbcccaccbccc
+cacbcabbbbcbbaaacbbbacacaabcbacbbbaacbcbcbbccaaaabaaababacccbbbcacbaccabcbaaccacbcaabacbbacac
+aacbbccbaaaabcbcccbbaac
+aababbaccbbcabbccabcacccccbbaaaccbcaab
+bccacaaabbcaacbbbbbcaacacbbacabbaacaccabcaaabaacccacbaacbcaaaabbacbbbccbabbccccaabcaaacbaacaababaaaaccacaabab
+aacbbbbbbcaacabcaaccccccbbcbccbbabcccb
+bcaaacccbbbcabcabbcabbcaaaababbaaccaccaac
+bacccaacbacbaaccacabc
+acbccccabbcacacccacaccaacaaacccababa
+bbcaaacbbaabaacbbcccbbbaccbcbbcabcaccbbaccacaababbbcbcbbaaaaaaabcccbcbabbbcbbaaaccab
+cbabbccbcccbacbbaacabacbabbccaabbbabbccbbacbbcba
+cabababbcabacccacbccccabcacbaabcbcccacbbcabcababccaccaaaaccabaabcbcacccaaaabbcbcbbabacaababbaccabacbca
+abaccbaabcaaccccbcbacacaaacbbabaabcbbcbccbbaabbbbcbbcccabbaaaaccccacaaccbbbccbcbccbcbaabbccbaabc
+caaaaacccbbcbabacacacbaaccbccabbbcabcacabbbaabaaccaaabcbacbcbacaabccaabbccababbccaccaacaacbcccaa
+abccbcccabccccaacc
+cccacaabcaaaaabbaaabbaacbabbbcccacaaacacbbaccacbabccaabaacaacaaabaacccacbaaacccabcccbacccbbccccaaababaabbc
+acacbabcacabcbccabcbacbbbbcacaccbcabaaaabbbbbcacbbbbccabaccbcbbbaabaacbccacbbacbabbbabbacbbcaccbcc
+bccbacbaaaacaabaababacbccbabbcabaaccbcbababaaaccacbccb
+acbabcababccacccabbacaccaaccacbcacbcbcbaccaacabcabcbabacbabaccaacbbcbcbcacccccacbccabaacbcb
+cbaaaccbcacaacaabbacbbabbcbcaccccaaacccaaacaaacaacacbababacccaaabcbacbacabaaba
+ccccbacabbbabaaaacbbaaaccbacacbbbcbbababbacbabbbcbabbabacabaabacba
+acabaacbbccbabccbabccbccaabcccccbccabccaaaaacbaccbabababaabcbcaccbbcccbbaacacacabcabcabacaccccccbbbbacca
+bbbaacabbcaabccabcacccaacbcaa
+bbcbccccbcabccccbbcbcaabaacbbbabbcaacabcbacaaaabcccabbabbbccaacbcbcbccbbacbababccacabbacbcacabbcbbcbbba
+bacbabbabcbbbcbacaaaccbabcccabbbccacaabccabbcbbaaccbababbaaacbaaaaaabbaccaaacbbbcb
+baaacbbbabbaaabccbaaabcbcbabbbccbbcacbcbbcacacababcbccacacaacacbaacbac
+bacbaacababacacccabacbcacabba
+acbcaabbaacabbccbbacbcaaccabbaccaaabccababcccacbbacabcbacbacaacabbaabbabc
+cabbcccaacbcccacaccaaacaabcbcbbababccccaca
+cbaaccbaaaabcabaacabcbabacbcbcaccbbccbbbaacbcbaabaabcccbcababcacacaaccbbcccbcabccccabcabc
+bcabbcbbcaaccaa
+bbaccccbcccacabcabaacccacabaaccabbcbaccaaabccbcbaccbbcacbbcbbbcaabcbbbcccacbb
+cbaababbcccbabbacabccbbc
+cbaacaaacaaaaabccbbacbccbacbcbaacbaaacababccbbaccacbbbbacbaccbcabbcabacbbcbaacbbabcacccbacbacc
+bccccbaaaaacbbbcbcacbaabbabcbaccccbbccbbaaababcaacaaacccccbbba
+ccbbbaacccbccabaabbbbcabbcaaaaacbcbbacccbcaaaaaacaabcacababac
+cbacbcbaabcabc
+bbccbcacbaccaacababcaaabccbabbaabbcaaacbcbcbbccbbbcbcaaccacacacbbbbccccaabbcaabaabcacacabcbcaaaccaac
+bacaabbaabbabcbacbbbbbcacaabcb
+caabcbccaabbaacbbcabbcacbcacbabaaaababaacccaacaccccccbcbccabbaaaccc
+bbbcbacbbcaccccacaccbaccbbbcbcbcabbcbacabcbbbbaaabcbacbbbbcccbcacbaaccaab
+acbbabacacccbcbbbcbbbbbbaaabbaaabaababaaaaabaaabcbcbaaaacbcabccbbcbccc
+caabacccccaaabbccacabbaaccbacbaaaaaabbaaacaccabbbcbabaccbbaccaaacbccbbaabacbcccbbbaccabbbacbccbcacacbabcbc
+abaccbabcabaacbabcababccbbbabbabbbbabbaaacbccbabcabbaccbbacaabbcaabaccccabcbcaaaacc
+baccbccacaaacbccacccabbbbaacabbcacabacbacbabaaaacbabbaccbcccccabaabcaaaccaacacbccccc
+baaabcaacaacabcbabacacabaabacacbbaaabbbbbabbccacbcaaacbccbbbabbcaccbcccccbbbcbcbaaabcabccccbbacabbbccabb
+abcaabcbaabacaabacbabacacacbbbacaabaacaaccbacbcacca
+acbbcbbaacacbcbaabacccbaaababbcacbaabccbccccaababbbcbabbabbababbcbbaacaacccccbcaabbabaababcbabcabcaba
+accbabaaaaaabacbccbcabbbab
+abcababaacbacabaccbaccccaabcbcacbbacccbbaaacccacccbcbbbccaabacccbb
+bcccbbbccccbbcbcbcbbabcaaabaacaaacabacaabbabacbaabccbabcabcabbaacabbbbabcbcbaabbcbbbbbabcbacabbabbbcca
+cabaabccaabbaccabccccbbacbbacbcaaaabbcaccbbaacbcaccbbbabaaacccaaaccababcabccaaabaaaaabbbbacacbbcc
+cacccacccacbacbcccaacbaccbbcacbcbabbbcabbcbccaababcabb
+ccaaabbacbacabcacabababaaaabaacaccccbbaccbabbabcccbabb
+bbabbbcbaacacbabaabbacbbbbccbacaacababaccccaababbcaaacaaa
+cbcbabcacbcbcbaacacbabbaacbbbbacaccabccabbbbbabc
+bbbbbbaaaabbbaccbbaccaaabccbbbaabcacaa
+abababccaaabbbabbaaaacbbbccbbcbaccacbbacbcabbbccbacbabbcacccacacabcbaaccbcbaabaacbbcaaa
+bbbbcccaabcaaabcaabaaaccccbbbbbbabbaaabaacaabcacaaabccbbcbacccaabcaccacbcababbccaaccbaabaaac
+bbacbacacbaaccacacacaabbbccbcacaaacbbbcabacbccbabcbaaaabaccabaacabccaacaacccccaaabbbcbbcaacaabcaabc
+cccbabaacabaaabbcabcaababbcabccaaaacbbcbaccbabcc
+baacaaaabbbaccabbba
+ccccbbcbbccbaccacbccbcabbcbcbcaabaccbcaacc
+abbccbccbccaacbaaabccbcabbaaabacacaaacbcbaccbbbbccbababc
+bacabaaababbbaacbacbcbcbacbcbbabcbcabaaacccbbaabaabcaccbbbcccccbcbaaacccaabacbabacacbaacbaaccbaac
+ababacccbbcbccabbaacbbccca
+aaaccbcabcbaaccaacbbbcaabaacbcacbabaaacbcbcbccacbbbcbaabcacaabcaaaccbcabbacacaabbccbbcabc
+abaaacaaabbbaabccccbcbbbcacbbaacabcaabaccaaabbcbaccccbabbcaccbacbbabcbaaccbbbaabcabcccbaacccabccbccabaaaa
+cbcbaaaacbcbbccccccabcbcabccaaccbaababccacaccbbb
+acbcbbcbaaccbacabbaaacabcbacccabbccabbaabbbacaaca
+65 42
+bbcbadadaabdcbdabcbacdcacdbcbbbaaddabdadbccaabbaaacadcccccdabdaabddaabdcdbbcddbdcdcaadadcddbcab
+cddddddabaacbbcacaddccdababdbdbdbccbadbccbdccbaddaca
+adbadbcabbddcbdaaabdb
+bbdcdacbcbdddcaacbcbcdacdaccddcdddadabbccadabcdcdaddabccacdbdccbbcccacccadadbbcdcddaacdbbcb
+dabccbaacdcdacbcdbcdbcabdabddbaacaaddaabaabbcdcddaabadbabaabcccbbaacccaadbbbddada
+cbcdcabcbacdbadabddadcaacdabcdbcccaddbaaaabbaadbddbbdccaabbddbca
+dcbdabccaabbaaaccbcacdbbda
+bcbbabadcbacbbbd
+cbaaddccbdaacdbbcbcdddbbacaacacccdadcbddacaaabbddcdbadcbcdaaccccccbbdcadd
+cbdacdcdbdadccdcdbcbcbaabdccadbbaa
+cabcccdcbcbbbdbbabbadacaadbcabbccccdcaababcadcaddccdaddcaaddbccbcccccbb
+addcbbaadbaadbbdbdccccdbdaddadacbcbbadacbcdbdadadd
+ddbccbabbcdadacabcdccaaaacddcccdabcaabababbcbbacdacabadcdcd
+acdaabdabcbaaaccccd
+cabdcbdadacbcadcdadccccabdcdbccbbdbadcbbccbaaacbadacacadadbbdcccbc
+ddcbcbbccddacacbdcccdabbababccdacdaaadccbdaaabbcdabdbbdaadaadcacbbccabddbcddbaadbbbcdcdaacbddccbbdbdbbdab
+dccbdabacdcaabdbdcaddcaabaabbbcadbdbabaabdbcabcbddabddddcbdaabcccadcabcccdbbdbdaaadccdacdabddccbbddcdac
+ccadbacddcbbbcabcbcdccaacbbdbbbbcabbdcbcbbdabd
+ddbddbccabaaaabbdabaccdcdddbbbabdabcdbdccabbcbdababaacbabccbcdbadcbdadaabadccbcbbadaddcadbbcaccccdcbbbab
+baabbaabcacdaacbcabaccacdadacbcdbbdababdddbcaccaddcddabdbbadcaabccdcacccddcbcbddbbbcbdcaddabadacbab
+daaddaaacacdabdbaadababbbdcaccbcaabbbdbbacdbaaadaadaaddbc
+adbababbcdcac
+ddbdcbacdddcdbadbdcddccaaccadbcbbdbadaabcadaccccdbcdcabccaacbbddacadadddacaaacdbc
+bdcaadadbababcdbaacaddcabbaadadabbbccdddbcdcbbcbc
+cbbcccccaccbccdcbdccdabadaddcdcdddabcbabdadacbbdbabacabbccdbdabbbddaaaaadbbbd
+ccdbbdcababbadccaaaaabbdabdaabcbdddbacbbabadadabdbababadcbbaabdacbbcacabdbccddcaa
+abbbaacacdadabcddcbbddddccacdacdbacdbbddcacbacdbcaacddadbdacddbacdbad
+daabccadbacadabadcbcaddabdcadaadbdcdcdcaabcaaccdaddacacdaacdccbdcdba
+ddadaacddcddcbbacddbcdabcccddaacddd
+cabbcaadcdc
+bdaddacbdbdcdcbdddcdcbadbbbccadbadabdbbcbcbcdcadcdbacacabdadbcbaccdcdcaaddabcdaccbabadcddacddbcbdbaabbabbcaab
+adcacbdadbdccddaaacdaadacaaa
+ccddcbcadabddaddabbccdbacdabbacaccdbddbdbbc
+adbcddbaacdcccdbbddbdbbacdbbcddccadadcbbaacccbcbbcc
+dcbdadaabcbcdddccabbdbdadccaccccbddabcaccbddaabbccccbcbbcbaccadbddadbbbddccdbacaccabbcacdcbabacdcbabcc
+abbbacacdcaaaabbbcdcbccdadbcdadbcbdc
+abcccbaadddbbbbddcdbacccabacdddddbdcbadbacddbdcbcadd
+babcbdcabdbbadcbdccdaabdcdbadcdcdcddbcabaccdadbabdcbdacdbaadbbcaabddddbcbc
+caacbacbaacddcb
+bacddbcdcdccacdaddaabacbacbdaaadccccababdadcbbbaddbadddcdbbbadaabcdacbdbbbcbadcc
+acaadbaacbbdcddccbddbacdacaadacdabcadbcbaab
+bbdacadacbcaadadbabbabcbbcbadbadbdcbbbbdbbcbacbccdabcddbacdabcbbbadaaccdcdccbdcd
+ccaadbcdacbbadbabcacaadcdddbaddbbadbbbacccdcacdabbcdbbbdcdcdbacbcddadcbdbcbdabbdabbbabaaaad
+acaaddaccadababcdbccdcbbcabdcbaacaaacdcadccadacadccdbcdd
+ccbdbbaaccadcadacccdbcdbbadbabdcaacabadbcbabadbaacddaaadbccdccadaabdbbdccddbc
+cbcdabcdcbdcbba
+dbdbddcbacadacbadbaabdaaccbdcaabdacddbccccbabdabaacdcdbddbbdddadbcddbdcbbbaaccbdabdbcddbdbbbdccaacdb
+cadcbdaaaccdabbabbbababddaabdaacbcadcaccdcddbbcadaabababcbcddbcbabbcbdbaccccddbbdacbbcabaddcabccbdaab
+bdbbbcdcaadbddd
+bcccbadcaadcbddcadabbdcdaabccaabbbaadcacdcbcbad
+bdbdbdadbdbadbccaccaabbadbccddcccccd
+aaacccacacbaaddbadadaabadcdcbaaaabcacdaddbcadddcd
+dbabdccabddcbbacacbcccbadaabbdaabbabbcbbdabccdaacdadadbdccadcbaaadddbcabcbcddbd
+bcbccccabcddcbcbcabdcdabdac
+cdcaabdddaadcddaccbacdcd
+bbcbdccdccbb
+cbdcdaaaacaadccbcbdcdacacbdbacdbbbadbbabbcbcbb
+adccbccbacaadacbdbbaaccaccbcccabcdbbddacbabdbabbcbaadddbbcabcbdcbdaacdbaaddadad
+baababbbbcaacbdbccdcc
+cccdacdcabaaaadbbbcdbbddaccabad
+cbbddcaccdddcbbcdadddabcaaacacadaddbdbcacdcccbacbcbddbdccddbddddbadacaccbbabdbdccdbaddbddcdadbbbcdda
+bbcaaaadcabdcbdbdcacbaddbcdcabdacababcbaddbaddcaccbaadbbcdaaddbadbbcbdcabbcda
+cdcbdabcaaababbcccdbddcabbccaaaabcbdadadacac
+bbbbbabdcaabbbcadddacdaaadabdbdaaadadad
+accbddcabcdabadaadbbbbdbbcbbcdaadabbcdbadcbdccdccbcbaabadbdcbddcbadcaadcabddbddccdcc
+100 55
+abdbcbaadbdbcbddadccbacabbbbabcccbdaaabcbbccdbabdcbdaabddaacac
+cccbdbabbdcddcacccddacdbdcdaaacbdcaaddcbbbabbadcaccdacdaabdbcdaaddbddadbaccbddbabdab
+ccbbbbbaabdbccddddccbcbadcabbaadcdabddcccdbcaabcaddd
+aadddacbbdddddaddcdacbdcdbddcb
+bcbddaadacbbbcccdcacccacbbd
+acdbcccdcadabcadccaddabdbccbdbddddbbabadbcbadcbccdbadcdcaadcacacaabbccbcabbbabbadacdddadbadccbbddcc
+adcbdbcdaccaaaccdaccaacbbdabcdcbcbcccdba
+bcbcbcbdbcbccbcdabcadcadaddbabbcabcbabbcccabbaabcaaabcbc
+baadbcabccdcdacbaacddaaabcabddcccdbabbcabddcadbaabcaaabbdbcbcbcdbacbdbbbdddacadbabcbdcabadaadadda
+badaddcaabcbccacbdabcbdaabbaaaadaddabadadbcdcaadaadaddcbcdabcdbdaabcccdddaddccbadacbbdbbcadcdaacdabcdda
+cbaacacadcdaadbcbdccbdabdcadadbcdddbccbdcacdddaaccdcbaaacbccdcdcadaadcadbccdbcbcbcad
+bdddbbdbaccadadcbacbddaaaccdcdcaaca
+cdcdadbdabadcbbac
+cdaccdbdbababdcbdbdccbcbbbcbdccadaabbcbcbaadbadbcdcdabcbdaddddbbbca
+caacddbdbccbdcbddbdabdcdbbdcbcbdabaddbdabcbabbbbdaabaaadbdabbdbab
+cccadddbcbdddbcdddddddcadbbdbbcadaaa
+baadaccbdabdccbddaaadaddaadcdcabdcadcbdadbbbbcdca
+dbbabdbbbbdaacdccccaabdabaddadaadabcccadaddbccadddcbaccabdbcacabcdccccddcdabcaadd
+cbcabaddbbbbdadabc
+aacdbbbdcdbababdcadcababbabbbdcdbcacbacaccabcacadbdcacbdacadadcbcbdacababbdbcccaadbbdbaaaadddadbbadba
+abccccaadadbaacadbcdbbdacadddddadaaadacbbcacdaacbcdaabbcdbccccdcabcbcdbdcdacaabcabdbadcdaaccadcacdcadab
+ddaddaccadbacabbadbccbccaacababdbdaddadbab
+acaaacddadcbcabacaccacadbababdbacadbdddddaccdbadbaabdcbdbdcbcabcbbbdbcdcadaaccdacabcccbacdcda
+dcdbaacdccdcdbbbddcbbcddddbbcccdbbbadbcda
+ddadbdacbaddcbaccddbaacddcabbcddcdddadbaadddabccbbbdbcad
+abccbcbcdc
+cadcbacaadbbbdabcccdabadaaacacdbacddbdbacbbcaccabcdbaaadabcadabddacbabcbdddadcaddadcbaabddcbddbbbbabacc
+badadddacbdccbdccbacdcbcacdcdccadadbcddbddcbbbdbbcdaabccbdaccbcbacbddcdb
+adcdbdddaccbdabbbabbddbcbbacddcddbbbaabacdcdbcdb
+cacbdcaccdbbaabaaacacdcbadacbabbacccbbaaccd
+bdaccdcdddcdcbbcdbadbcababadaddcbcbdaadcdadabcacdcdbdbccdcb
+dadabcadbbccbbdcdddadcbcccaadccbbcddbdbaaacabdbbbadbbbcdcbcbaaadbcacaaccdcddcadddcdcc
+cdadbccacdacd
+dcdbcdcddcaaacccbdabcbaabbcbbbbccadaddbaaaacbabdcdcaccccacabcbcbcccdacbdcdcabdacdaddacbbaccaccc
+bcbdbdabdddbcabbddadddcadbc
+caaadabdcdabdcaaabacacadbbdadaabdccddabcdbcabdcdbbcabdcbbcddccacdccddaddbcddd
+addcbdcddcbdbabdbdbddbabaabbbbcacdbbaabcbdcabddbcaaabbcbdaaccdcaccccdbcdaacccdbdccbac
+bcdcbbcbacdcbbaccaadcbbc
+ccacdddbcddcdcaaddbabdcbbdbdbaaaccacbcacbdbacbaabca
+cdbbcaccaaacccabdbbadaccadcddddacdaababccbdadbcccacaccdaaaaddcbdbdccdacddacbcbaadcdbbaccaadb
+dacaccbbcaadcacadabdbcbcdcbaccaccdacccaccbdadc
+cdadccdccdadbcbdaacabccccdbbdbbaacdaabcddbabaadccadbbddcdcbccadbdddadbbaababbabdb
+caccbdcdaabbaacdbccddccdddccacabbabcadbdbdbcbccbcabbbaddcaddbcc
+dcdbabddcaadaadacdadbcdadabbaabbabcbccbcbbddacbdcdcbdccc
+babbbdddbcdadbcdacdcdad
+bbcdcaadcadcabaacbbddbcdb
+adacddacdabccdadddbbcaaddcbccbbcdbcbacabdcdcdacadbbcbadbadcaaaaacbadcdbbcaddacbddaaadbd
+dbdcccbbcddbdcabadacbbbdccaabbcdbdbbbcccbcdabdcdcaaaccbdaccaabaaadabddccacddcdbcacbcccaccdbadb
+daacbdddcabacaadacdbcdcbaacddabcddbd
+adddbaccacc
+adcdcdbcbcccabcccbcbcdaabbbaaaddadcaddbdcbabccdbbcadcbbadccccbabacbabaddcddccbddcbccdacbadccccdbccbada
+caadbabdbdcbdaccadadaaabdbdcccbdc
+cbddbaacbcbddbadbcbabdcabbcabaacdadbabcbaaabccbcdbdabcccacdba
+acbbbbacdda
+cbddcddbdacdcaabcdddddadbcdcddbabdcaabdacddacbbcdcdcbbbdbaccdcadadbdddaddbaccadbbbdaccabdcbdcbbbcddcdaa
+ababdadabdddaadbdcbdbbdcababbdcbaacbaabcbabdd
+bdcdccacdaaa
+cdbadbdccbbcdddabbcbdbaababbaddaacaacbdab
+aabdbbccccdcabaccbcbcbdabcdaddbcadcaaccdbacabacbdaacadacddddbdccccbccdbcbabbaccdcdcbadbdcacddddcaaddbc
+dadbcbccacacccabbcdbbbdacdccbdbaacbbadbbc
+dccbbaaaccdccabcdacdbadcdbccadbbaccaadbccddbdbdccacddbadbcaa
+cccabdabdaddcacbdbcdabcbbcadbcadddbaaddbdacaabacaddbabcbcbdcbbbcbdabbcdd
+dcabacccaadddcbdcdacabacbcddadccdadacabcadbdbdcadbdddcdadcbdcdaaccdbdaccdccadacdbbcaaaaaadcadddaadabacaaccdb
+dcbdccadcabbccaacccadbbbabaaab
+bbdacccbcababcccdcddbcbccbaabaadaaabbcaadcbbcdbbbdacbcdbabbcdccadadadbdcadccdaa
+daadccdccbbaacbccdacaacbcaccccbcacdbbddaadcdcdcadbdcadccacdaacaaabbadbcaabcbdbc
+cdaaaaaabdbbcadcddaababaaacccaccacbbabbbaccadddcdbabadbcbdddbcdcbbc
+bdbbbaacbbcaabbbdcbbcccdcddddabcaabadcabcddabdbdaccdbaccababdbcabdbdcbaddacdbdcbcbccccabbbbdbdaddaca
+acadadcbba
+accaaaaabcacdcadadcabbcaaccaddbdabddcbaadcdbcddddbbddbbccbbbddbbcddbcabcdbacc
+bababbcbbbaabaacaddacacdbdbbddbbadbdccdcbccacdaaabb
+bbcadcccdbcdcdccccdabacbcbbaadccadacbabbdaadbcdbbbbbdbbbcbddcbbbddbbddcc
+caadacbaadcacbdbdabcdbabbcccacdacdbca
+cdccbcbbaacacbcacbbacbbbaddbdadadddbdacdbbbddccadaddbcdbcd
+ddcdbbdbdbdbcabccbbdbdbbbcacbbbdbacbaaaadcdbcccdccddbacdcdaccacddcbddcbbdaacbadabcdddcadcbdd
+bcdcadcbcacadaaacc
+dcacacaddbcbcddbddababbabcccaacacaabdccddadabdbccacdcbaabbcdadbdddccaaabbcdaadabdd
+cbbcdaababcbdbccccccddcbdacadadcbbbbbcccdccbdadccccabbc
+ddcbbcaadadabbccacbcdaacbdcdcdbcbdcadccbabacbcbcabbcacadbdcaababbdccabadbdadabaddcbcabbbbbdccdacadddadaadadba
+bbcaddbaacccabdaadcbdbaabbbdddbaadcbcaacbacabcbaacdccdcbcbbabccbcdcadbdbbddaaadbcbccbbcacdadcdbd
+cbacddcdadbddaddccddbaacabdbacaaaacacababdabadbcdddbbaccaadcccbadbdbccbccdaccccccdbdcabcadbdaba
+baadadbacbbbabcbacaa
+daddadcaccdcabdd
+cccaaaccadacacdcdbdadaadaaccdbcbccccbdcaccdddbabcdbcbcbddbcacbdbbaccbbdcdddcdbcccbacacbcadbccabaaaa
+bcdaacdabdbcacdcccccbcbcbacabaccdbcbcccacdabddbcdcbadcdcadbaadbabcaabcaabcabcdaddbbabbbbadcacbdb
+ddcbaccbaaddcdcdbcdcdacbccddcacadadcdabccbdddddaacddccaabbddcadcbbaddaddaddadaac
+bdbdcbaacbccc
+ababadbbdadbdcbcbadaddacddbdbbacadcbdbcbccbbdacdcbbcdcdcbaaaddacdacddbcaabddddcdccdacdbbacabdccbdbbdabbbdaab
+accdaddbbbbdbdaddbc
+dcddbccdbbaacbacccbbcabacdccbcdaaddbcdddddadadaaabbbabacccdcddbabaaaabcacddaccacbadcdbbdcbcbbaccaadbcaadbd
+bacdccdcbbddddbddbcaadaaabcbabbbaaddbcadabcbcabcddccaacd
+dabdbdbabcbbcaccadadcdcddbbabdacdaadbadddda
+bbadbcacddbabababadbabacadadccbdccdabbbaadddaabccacbaccbcbcbccdd
+bbaaabbdadcbaccddcacdbba
+cdcbcabdaacbadaddbbbdbcbbaccdacbadbdbbcccaaaaacaccaacdddcddabdbcabadabdddbacababbcbbd
+ccaabacadadcbdaaaaccadabacaaabaccdacddadaadbbddbaccdcdacdbddccabcccdcdaab
+acdbcbacbdaaadadbdcccabdcdaccbbdadbccbcccbcbaabdaccddbcbbaacdbdcbabadbb
+ccdabdaacdbccabbcadbdddccdcdbabadcbbbccabbcadccaadbcddaaddacdcabdddbccbacabddbaabddcbdcabacdabcdbbcb
+adabdcddbbbdbbadbcbbacbcadbbaabdbdcddcacbdcbbbbadbdacaaa
+cdaabbbbdbaaacbbcad
+229 112
+bcadddcabbddadacabdacbcccddbadcbcbbdcccadccaacadabadcccbbcabdbbdabacababbcdbdcdbcababcaaacddccb
+ccaacbbacabcac
+dccacadcbbdadccaddcddccabcbdddcbcba
+daccbaaacddabadaadbadbadbddcdc
+bccacbcabdadddabdabaccdcddcbaaaaabbaccadabcadaadddbbdacaaabcdddbbabdadcccdbdcacadbdc
+ccccabacaaabddacbdccbccaaddbcbdcbbabddabccdcadcadaadadbcdbadaabdccadaa
+ccbbddbccbadcbddadacbaddabacbbdcacdcdabacacbaccbbbcbcdacdccbbbaaddddabcdadbddbdab
+caabaaadccbcdcbbabccacbaccdcaadddbbbacaadcdccddacdbcdddbcaddccbacb
+dabbcbdddbacbbbbcdaabccdcaadbdbbcccacdaccdbcdabadbdadacbbdbbbcbcadbacbdcbdbaacbcbdddaaacbdd
+bcbdccddcdbcabddccadcaccaacdbdbddabbbbdaaabaaadbdadabadabbbcadbccbbbaadaddabbddbbadddaabbbdbcccaada
+cdddadbaccabddcaadcaaabbabbcdbbadbaaabaadddcacda
+cadcbdbddacdbdbdbddbbaaabadbaaddbdcacaaaabccaaacddddcccacaccdacac
+dcbaccdbbcdddcdadcccabcddccadcabdbcdadabcdcaaccadbbcccaccdabacdccacbabaabddabbcdaabbac
+bbdabaacdcccddabcacdaccdbabdcabcbcaabaddcadcddbbdaaddbbcaadacaccbbdcac
+bcdbcdbacbabcbbccadbaadacbdbaab
+bdcdcbdaaabbdbdcbcdbbbbccabba
+bbaddadbaaaaacbcdbdbcbdbadabcdaadcdcdccbdbdddaac
+aadddaddbddadbacbacabcacbca
+dcbabbdbdbdadcbbbcdaacacbbacbcaadabcbdbddbaaaddbabddaadbabddaddbcadd
+bdbaadcdddbabdaaccbacdcdddadcbbccdcabdcdcdbda
+cdbcacdcdbadccbbcabdacdb
+ccaaacbccaddacdbbaadabaccaaacdaadaadcccccccbbcacdbdabbadddbccdcdbcbbbccabbbdbaac
+adbdaaadcbcabcabcdadcdaa
+abddabaccdcdbcaababacdcbbacbdaaadddbdbabccbbdccaabbcbbddadacacabaaddcbccbadcddcabbcbbdbdcd
+cdcacdddacdcbaccaddaaaaadbaaadadacacddbbabdbbcbbbcbabdcabbaabcbccbadcbcdcc
+cdddbacbcacddcdbdbda
+aabcaacddacbaccacdcddcaddabbdddcbccacadcbabdddddd
+dddaabacbbacadcccdbbcadbbcdbcbcb
+acaadaadccbaddbbabcacbdddabbbdadcacccdbddcccadbcccdcddcdbacbdbbdcdbcddbcaabcaaabadbbbd
+abadcccacbbbccddcadcbacabbcdbcaabcacbaadabcaacbddccadbbaadadcddddabcbbaacdccdaccaacbacbdbdbcdcacdcadbacd
+dadbcbbaadadcdbcbdddadcadcdabcdccaccbbbbcaacaccadbadddbcbdbabcaacdabdccbabdcabdcbcdbdbbcddaaabcacbbcbcbcababa
+daadaaddacaabdbadabbabbcbbbbbdbbddbbccdaacaaaccddbcdaccbbdabcdddaadcdbddacdbbbddacccddabbaadddadcdaabbdccdd
+ababbdcacacbabcddbccbccbaccdacaabbbcaadbddabcdbbcdaaacaabdcbaadcbbddaddbabbabdaabaabaddbbbbbcccbccabbdd
+adacbccdcddadcdcaccdddacbccaabbaccbabcaacddddbdddacccdaacdabacadbbbadbccadabddaccacbbcabbadbdaddbcadddcdaad
+cbaacabcddadccdacbabbcdcccabcbbbcabdcbbabccbbadcbaccbacccadccbbd
+addddbbdddcdbcaacaaaaddabbcdbadbccdcbbadcadbabaccbdcbddacacdccadddabdacbbcdacdcdbacada
+accbabccaacc
+abcadaabaadcadbdcdadccaddbccb
+aadbbdbbbbdccdadcadcbabacbcca
+abdabdbbababbdccdbcbccbdabbbabdcadcabacdddabbccbccdcaca
+badccbdbbdccccddcdcdcaddbccbccdacbbbbbbdd
+dbacdcaacbbbabbabdbaadacccdcbaabdccbcdb
+bcbdcbabdcddcddaaaddaaccaaabacdcbcdccdbccbcbdbcaacbcdddacdbaacbdadadcdbcabaddcabadc
+cddbdcdcdcddcdaadbaadbddddabddaacabbcdbdbcbbdcaabaddbbbabac
+cdacadacaddadcabcdc
+cbadcdbdaaddabddaccbbaaabcbccdcbddddddabcac
+abadabcdadcbbdbb
+cbddccbbdaacacbbdbcccdbabaacaaddaabaa
+abdaadbbaaccbcbcaaabccccbdccbddddaaccaaadcadacabadcacbcdabcccabcc
+aabbddbadbabdacdbabccbbcddbdabcdcbaacbbbcbdaabbcdbdbbaabbcbbbaddcacadbaabbbccbb
+bacacdcadcbacddbabcdcbabdabccbadcddabdbbbddd
+dadbdcdccdddcababcb
+aaaccbdaddaaccccdbbbccbdabbdcddcdabdddbbaadacddddababddbddbacbdad
+cddacaddacbcbccabcbdcdbabaaaabbcddcdcbdaaccbabbbacdacccabdbbbccdbdbb
+cacdbcabbacbaadcacdbdaccdbcbdbcd
+adcaacdaacdaccccbbaccaccbbabdadbadbcdbabbabaaaaabacadcdaccaccab
+bdcadabaaddccadadcdcbccaadbcdabaabbbcacbdbbccbddbaadcacdadcbabbbbdbcadcddbacdd
+baccdabdcabbccdaabdadacdaaddccddbcaccbdabdadc
+ddacababdadadbadbcccbbbdcdadcbbdbdbaacdadbbdbbddcc
+ddccabadcdaccdcbbddddbaaccdcccddbcababbbccbcacdbbcaaabbcbacadcdcccaadcdadadbbcacdacbacadbabdaabc
+bcdcddcdcadbdacddccdadbcdac
+acdddcdcacdaccdaabacacbabcccddccddbbc
+addbcdbcccbbdbbdbaccbbaaadbada
+aaabdbbcdbdccadbcaccdccbdcdccbaadbcdabccbbbcadbadcbcbcbddddbddcaaccccadaaababddcadababaccbddab
+dbdaabddccdaacddabbcdbcdddcdbdaacdbababa
+abbacbcbbddcabcabcaabcbcaacabdaddcbbbacccaacdaabdbbabbbadbbccccbaaccdbccbdaaacaaaacdccbcadb
+aabccadbcaaadcdbacddcabaadacabcaababddddcbadcdddbdbdddcaaadcdbbddbcaaaabd
+dbdbcdacaabacbcdadadaccacacdaacacdbddacbbccddbdabbdaabcdbddcbbbabbbbdc
+dccbbcbcccadccd
+abccacdbcdabdcbaaccdbabbabdadadaddbccabdbcccabad
+bdadaadbdaaccaddcaaaddaaabcb
+dcbdabbccadabaaaaaaabbcbcaadabaddadccacdbbaacacdcddcacadcbdddadacdddccabdaabbdacbacaadadbbadbc
+cbabdbccdccbb
+dcdbbbcabbdaacbadddccdabaabcadccbc
+ddbaabdbbaaadacdadcbcbacaabadcccdbacbcabddbcbbdbdccbccdaacbdacdbdadbbcdcdcbbcdc
+bdabcbbcabacccaaccddbbbcbbaddbdbddadddcbacdacdbbababbbcadabbadcbccbacbbbdbbcdcdbaabcad
+bacacadabaacccbbcbbbbaaacddbbbbcadabccaaccddadbacbddbadcdbccaddcdccddbddcdbdcdbbaabcdaabbdab
+cddbccccbcdcadbbbacdccdcdaaadbcaabdaadabcbcdbadddabbcbbdbdcdcddbddddddcaaadddabccacadbbbd
+bccccccdddddcbdda
+acaccdacddbccdcbbcbdabaabacdacddbdcaadddabddbbabbdcbaccadbdccbdadacacbddd
+dbdbaaccbbdacabaaabbbdaaddcdcdadaadaddacdd
+bddcabddcbddddcdbadbccbbdccdcdabbdbaaabdabacbbcaccbbaadcbdbcdabacaccaadcbbcdbdcbabaddcaadacbacdadb
+cabacbbbbabbadaababbcdddbccdbbaddccaabccaabccacadbdbcadaaadacbacaaaacbdadbdcbcdcbdbbbcb
+ddcbccdcccddbcbbacbbdddddbdddabcbccaadaddaadacbaabbcdbcddbbcabaddabacbaabccadadabdddcdcddbaddbdcbccaccdb
+cdadacadccbcaacddbdcbdaadddacdbacbdddabccaaacaacabdbcaaacdcdddacdbcdaccdddcacbcbabdcacccd
+ccbbccbbdbdbddbbcbcaacacbbadabdbddbcbacdcdaacabadabdcadaaddd
+caacbdbcbadbbadacccabcaaabaadacbabbbbddacdaddabdbdccdcca
+bddabdbddbdbbcabcaadcbdddcababbbacbcabbdcdacbadbdbdaacdaddaad
+acadcbabdbadaccdbaadaacccbbaaa
+acadaccdcbcdbbbddadddbcbdbbbcaddcadaaabdaddcabdcdaacddbcbbccabcbaadcabacdabdbabbabaaaacadd
+dddccccacbcdbcbbbbaaccbdcdbccdcccccccccbcbdbadbbddbcddcddaacaacadbbcabddacacddaaccdcdcdbdcbacbb
+cdcbacbdbbcbcbacbdadbbdabbbcdbccadddbaddbbbcbadbdccadbc
+bcdaaacadddbcbbcdca
+cabcacbdacbdbcdccadcbbbbbddcbdbdabcaaccbabdcddddcaaabaaaccdddccbdcbacbcccabdcbd
+acdaaadbddbdbcbbcabcddcdddcdbcadccbabcbcacbcdcdcdcbbabdbdddbdaacbcbbcacbbbabcdcabadacd
+dbcbcdbdabdabbdcbbabbaadbdaddcabcaacaadcddcabdbcbdadcdacbdbcdababbb
+dcdbcbcccdbdaccacadbaaccbbaabccab
+abbbaaadcbdadcabadacabcdabbdcbcddcadddadcaaccdbab
+cbabddbdbbcdddbabbcdbaa
+babddccabcaaaaaddabaddccbbadcbdaaaddbc
+cdaacacccdcbcdabdacabdcdbbacbcbabcadbbaacbaccacacbccadacaccabdadaaadcadaacabcdcadddabcaaddb
+ccbababbbdcaccdbbbabadcdcdacdacbddbbd
+dabcdbacdbbddcabc
+acbdbbadbcddaccccdacbadcbccbadadcbacbaadbddacbddddaadbcaabdcbabaabbcdbcbabbdadcacabcadababdca
+cdbbdccddabcaaadadcddddabacdadccdbabadcbacaabbababdcdbdccaddacabcccaacaadcacbab
+ddcaaadcdadcddaacaaadbdbbddbbbdcddaaabdacbcaddcdbdacbc
+ddbabcccddaadccadacdaaabdbbddabcdadadabccabdadcbc
+ddddcbdacbcdbccabadaacbbcdabcccaabbbdbdbcbcbbddddbacdaddabacbdbddddbbdbddabadbcbcaabdccbcbdb
+dbabadbdbdddcdacadbcbadbccbcddbacddaaddbdbadccac
+cddbadddbccdbdbcbbdcccbbdbbbacdbadcadbbdbadccbabacbdcbdadccbdcbaccbdccaacbbbadaa
+bdcabacaacbcabdbbadbcadbabbcdcabbcbdcdcdadcdacbdbbbaa
+bddbaaaaacbadcbcbdbcaaccbadccccdcbcbdddddbccbababbbaccadcdbdcdcbdbaddcbbd
+abdcdbadaddccacabdcbb
+dadcadbcaabcdcbaa
+dcbbbaaddbbbaddbbbcbbbbcaccbcbcbacbcdbd
+dccbbcdabdcabbdbdabacbcbdccdccbbb
+cddaaabdcaddb
+ccbacaddddcbacccaddaacbdcdadddabdbadbbdbbcadaabbdcacadaccdadcbcacdcadb
+cbbadcdcdddbccadabcabdacacbccdbbdbabcbada
+cacdcdbaccbcbabbccbadbaddbbddcccdbacbddacdcaababdabababccccbacbbbbbbbacbcbadbabbbddbaacbcd
+daabaadababacaabcabcbccddaaabaddbbbbbbbdaddabcdabdcacacaaabcbcbbbcddabdddddbdaaadabdbdcbccdcccca
+cbabababdacadddaadcdabdaabbbbcdaddbbdd
+baabadbbbac
+acbbddabbccdadaacaaabbbcadcd
+dccaaadbdaaaddbcccacaacdaccccba
+baddabaccbbadbb
+daadcbcadbcbcdcdbcddacdbdbccabaddabaabadbbaaababddbdbcdb
+cdacdabdaadcdcbadcdccddabbbabcabb
+dacbbdccdccbacadbccddcdcacabacddddbbbadbacaacacddcaaaccaddccbdddadddacccbdcddccc
+bcbcbccabddcbacbdddddbccbabbabdccbdaddaaadbbcbdcabbaccccbdaccaaddcaba
+baabadacccbabbacbdaaadcacddccadbbdcbbabbdcddabdcabbadadaccdbcbcccaadbabadbcbbcbbcadaddacadbbdabd
+dbddbdbcbccaaacddccbdbbadbdbadcacbdacdbcdddaaddcaaacbcbbbcbcdbbaacddadcabcaaddaaccaaaadabbbabcdcddbbcabc
+dbbaddabacddbbcadcaccbdcacbbbaaacbddaadcbacdcdd
+dcadbcbbacdaabcdccbadabadcbcbdbaaccbbadaacabcdbaacdbcdaadadadaadaaacbabcacca
+bdcbbaadaccbcadbbdcabbbbdabacdbbacbdabbadcadacbbabdcbdacdaacddcdbcdadbbbcbabddacbacdbdacacd
+cbbcbdddcdbdabddaaddbcbbacccabaabbcdbcdcdbabccbcbbcdabdbccbbdccdddbadbddbba
+cbadaabacbaddabacbadcacccadadaccbaddbdcdddadbbadbd
+abdbabdcaabdbddda
+aacbaadbaaabadcddccabdbbadbabbadaacadcbccadcdbabaddbbadbdbbbabcaccbcadadcdbdddcdaadcdacbcca
+bbadbbbabbaacbadadbdcdcabdbacbcadccdabbcacbbacdaa
+aaacaaaddcccdddbdccacaaabdbdadbcabaaabbbbabaacdabacaddbdcbbaabddddbdabbccadacddaaab
+bcbdbbcccdadadacbdabbbbccaaaabcbbdabcddccbdccdbcbbcbacbacc
+bdbccababddcbacadcbadcacaadcbcdb
+bdbdaacabcbbcc
+dadbadbdbbccddd
+adcdbdbacbdaccdaaaabadabdaabbaabbdcacdadcaccadbabbdbabcaadadaadcacaddddcadbbdbcaacccbb
+daabbadacbcaccbdbbcdabdcddcccdcbaadc
+dccdabcaacbd
+bcababcdadcab
+adaabcbddddbdacbbdbbdbacddcdcabdabbccbcdabdcaadababbbbcadbbcaadcaddddb
+cdbabbddbdbbcdabaaccdbcdaddddbccdadabdcb
+bdcdadabcabdbcbddb
+abcaacbcabddccabddabdbccababbcbccacbaddbdbdddcdccdccdbcadabacdaabbddad
+dacdaababddacbcabccbdabddcddbcccdddbbbbdcbdcadcaddcabcbdccabbccdcbbcdbcadccbdaadcaaddcbddabcaddcabcdcbdb
+aabccbbadcbbddcbcbcbbccdcccddbcbabcdabdcadbdcadbdccbddabbabbababacddbaacacddadbbaaaccaaaaaccdbdbacbba
+bacaddcccbddcdcbbcbacdbddbbcabdcdbaa
+cbddddcbbccccdbdbdaacdabbddbdacdbabcabcbaabbcdcacbdccbbbacbccccbdabbcbccddcbdd
+cdaabccacbabadbbcdaaadacbcbbdaaabddccdbcaddcdddbcdaccbccdbbdacdbabaabadadddaaaaddcddca
+bdbcbacaccccbdabbdcdd
+baddadbacdbabacaacdaabbcbcbbbbcacbdcabaccbacacadbbaccdacbcaddacbdaacbaacabdccbcabbbabcb
+bddabbadcbddcbadaddcbaadcbacbcadbbcabcacdcaddadbadddcdcbddab
+acadccbdabacadaccccacdbdcacbcbac
+bcbbcadcdcaaddcdbbbdccbdabadcaabccdbcabcbaacddacdccbcb
+cbcdcbaaaadcdcdacdbaacbbadbccaabacadbdccdbbadbbdcacbdcbdbcbabbdddbccbbabbcbabdcbcadacdccbabd
+dddabbadddadbababbaadddcdccbbdab
+badcdaaaaacbdbdbadbdcddacccdcdabcdcdddbcdcdcabadc
+ddccabadcbdbbcdbaacababbcdd
+dbdddcaabdabaccdddddbddbaddaadcddcadbcddcaccaddcaacaadacbcddbcdccdacaaabbdaadacdcdcabdaacbbbcaddcaacba
+bddabacbabbadacbbdaabaabadacdaccdcaaddcadccdbadddcdccbddcdcbdcbdddcddccaccbacdbbccccacccbaccdacbc
+acccbaaacba
+cbbbabbbcdadbdbdcdbdbccbdccacccdc
+bacdbcaaaddbdddbddcacddcdddaccadacaabbdcbbcaacabcbdcdbabccddcacdabbccccbdbcdbadbcacd
+bbccdadcdaabacabbdddaadbdbacacbcbcdaabccbbddbcbdbac
+cbcbbcddcadbdabbccaadddaabaccbcacbdcaaaadbaacadcbcbadccbcadbcccbbabca
+adbadbbddbadbbdacbccbdabbdadbcccdacbddcbdcdbddabbadacbdcacaaccbbdabccbcadbcbbabcbddbdaabccaacbcaccbc
+cccbbcccdcabbcaddbaaaacbcacdacddbcdbddbbccabbbbbcabdcdbbabdcaaddbaaccdaabbcbcdccccdabbdaaabbbddbbaddbcdcab
+dccbbabccdcddbddbbacddaabbbbcaddddcadbbddabdaadbcaaacbacadcbabb
+ccdddccbbcbbcacabbbcadcdbdcdaccbabbbccbacdaac
+dabdddcdacadcbbd
+acbbccabdcbcacdbdbcabdccbdabcacaaddbbcababcdaacadcbacabddccacbcccbdbdabbbdcaaacdda
+caccdbbabbbdbbadbdddbcdca
+ccdababdbdcbbbdcddabcaaadababadbbddddccacbbdbcddccdccddccddbd
+bcdbdbdaddbdadbbcdacbbc
+accccdabdadccaddbdadabbcabbcbabbbdaabccbbadcaaccabaadbdcdaaaacddbcacabbcdaadcabdbbaaccaabbadbb
+acdcbacaabcbcbdaaabdccadabaabcaabcddaddcdaaaadabaacaabddaaadaadabdbddac
+daacdcbabdccddbbaadacbcacaacbbacadddcaabdabd
+ccbaaaaabdcbbcabcdbdcdddbbacbcdcbbcbcabdbacbcdadcabddacaddaddcbacacaaddcabad
+adbcdabaadaabbdcbaddbdbbdbbddcaccbdaadb
+abdabdcccdcbbbbcbdac
+acbdaadcbccaadabcacaccbbdcbbabcaddbdbadaacdbcaabbcaccdaababdabcbadaacdabdbcaddcccbdaadccaccdcdbaaacdcb
+ddbccadbbadbbccddcaccccbddcaddadacabcdabaacdacdddaaddadc
+bcdcdcbcadddbabcbacdbbcbabdbbbdacddccabdddbcdcababccbbcccddacadadaacddbadbaabbcbaadc
+bddbbaccaddccbccd
+adccdbdbbdcccbbaadddabbaadadacbdddaaaacaccdbcbdcadddacdbdbdcddacacacdbacacbcddada
+bdbccdbdcbdadbadacaadadcddaadbbbbdaaccbacbcbbbcdcbdbddcaccaacbbbbacbaaccbbdcbacbddabdcbaadaaaccdcacbdcbbabad
+addacdbdccaab
+cacdcabbbccbbbcdbddabdbdddcddbdaddbcdbbaddabdccdbcdaaddcbabbdcdabbaadbadddcbbbccc
+bbbbccddbdadba
+ccadbbbbdcdddbbacbbccaaaaacdadbddbcadacddcbcbbbaaaaaddcdabdcbbcbaababdbbbbdbcacaadbacbdcddacccabd
+accbcaaacbdcddabbddaadccd
+aaccddacaddcdbdccaabccbbdcdbaddcda
+dcbdbabdddbdadaadcbabcbdacdcbbbb
+ccdddcdaabadbaddddabbcacccbaadbdddabdba
+abdbcddccdaccadbdbccbbaadcadaacadaccdbccbadcdadadcdddaccdccccdccacbaccadaccbadbddbca
+dadbbaccdbdbdbbddcbbb
+aabbcdaccbdacbdaaaddbcbbabcddccdbababbdcaacdcccdbdadddabdbbbdddcbcbcbacacbdd
+cdaddabbcacbcbdacaadcbbcbbdbdcbcabcaaabcaddcccbddccadcdbd
+cddadaddcddadadbabaaddcdcbaababbbbbbabbaaccdacbabbcacbabadadcabbaacbbabbdcadddaabdcdacbaaabdbdbbbabdbbbcdbdb
+abacabbbbdaaaaacdbabdcaadccadcccadaccada
+cbdaddcababbddadacbacccccbbacacbdaaaddbdbcbbadbcbcbaadcadcaadabadabbbbbdc
+cadbaaddddcccabbcaccacadabaccbbadacbcbbabbbaaccadacdbdbbbcccbbccb
+caadbcaabaabdbcaacacdcbaabdadabcdddcdcdcbbccdcbddacaacbacdcbbbacccababcbdcaccdacddddabbdca
+accddcadbaccccbbbbbbdadcbdaabbcabdbcacabbbdababcacabdbdbcdabdcbdaccdb
+aacdabddcbbdaacbcdccabacdcbcdaddccbbccdbdadddacbbaaccaabbdbaddcabbac
+bddbdaccbdbdcdcdcbddcddbbdcdcdcaadacddabdbcbdaaaababcaaacbcabaabccacbadbacccdbacbacdaadacdbddbbabcbaabbccc
+abdacacacdbdcdcabdacacadaddadbcdacdacaabbdaabbdddccdabcccdcbdddbbbbdbad
+ddadabcdcabdddbbdbacadaddbcadabddcabababcdacabbbaabacaccadadaaabacdccbdacacbcdaaabcbcdcbbdccdbaa
+bdaadccbccacdcccbcd
+bbbcbcdbcddcdabbbcadcadcbaabbbabacdcbabaccadcbddbadbaabdadcaabc
+cbbbdcacdababccdbbcbbccacbccbbcbbaabd
+caddbadcacaaddcdaaaacaddadccaddbcacbbadadbdbdacabdabbacab
+cdcdcddcbcbcbdbabcaccdacaadbadcdbddcbcdaccdacbbdbacbaadacbccccdcdccbdadbadccadbdcdacacdadaaacdbadbdbbdaccdc
+acbcbbadcdcaccccccbcdbacdcdbbadbcdcadbadccbbabcbbcccdcaacaa
+badbdcdacdadbabcbdcabacddcbcbcbbcdccaddadaaa
+bdadacccdbcacaababdbdcaccbcd
+acbddbcbdcabbbcbccdccdcadbabdbddadcacbacdddbababbcadcc
+acbcaaddcaabddddcbdcbdadcbddcddcdbabcdadbdbbcbadbccaadcbdccbbddbadcddddbdabadbaccdcccdbcadadcddbaabdc
+cacaaccabba
+babdaccbdaddbbcdaccbcadbbbbdadacbacccbbcadbcccdabaabcbddababcaaacbcdcdbbdbaccadcbbdcbacddaacaabdaaccdadab
+200 101
+cbcbaccbcbbacbaccacacbccacbabcacbcbbcacacaabacaaaccacabc
+bcacacccbbbacbbcccccbaccbbabbbbbbbbbaaccababcccbaabababbcabbacaaabc
+abaacbbabababcacccaccbcaabccabbcbaaccbbac
+ccaccccccabcaababbaaccbccbaaacaacaacacbbacbcacbcccacaabcac
+cbabaabaccaababcacabacacccbabccbacabcbabccacccccaacbcaaaccbabcbcbaa
+cbbbacacbcaccbbacccbbcccccbcbaabccbaacbaabaabcabbacabccbbbabcacabbbccccbcbacbbabcbbccaaabcacbcbcacb
+abaccbcacaaaccbcabccbbbbcabacacacabcacbbccacabbccbbaacbbcbabcccaabbbbbacacacbbbabbccbcbab
+ccbacbaaaccccac
+baccabbbcccbaaacbaccbccbbbacccccbbc
+ccaccaaaccabacababcccababbbaabcbcabaacaabacbaccaaaab
+bbcbabbbbcccccbccbbcbaaccccbacaacbbcbcabbacccaacbbaabbbbcbbacbbbcabbbcbbbacabbbbbaabcccbbcaababbca
+ccbacbccbaaaaaccbbbbaaacbcaabbabbbabccbbbacbaaaacabbbbbccbbacaaccccbbbbcabbaabccbcbccaaabcbbcabaabbaba
+cbbccccccbbabccaccaabbcaacaaccb
+ccbaccabbbbbbcacb
+aabaaacbbcccbcacbabcacacabcbbcacaaaacbacbcacbcbccbacbaaaacbcbab
+bcbccacabaacccbaba
+cbccbbccbcbcacbaaabbbba
+baabcaacbbcccccbbaab
+cccaacccaabcbbaaabccbaabbaacaaabaabcbbaccabababbbaacccbabbcbbcaa
+baacbbcbabaaababccaaabaac
+bcaaacbbbabbcbbababcacacbaccbabaabbbcccabbcbaaabacabbbacbbccaabbbabac
+acacaaabacabbbcabcccababbaabbcabccaabaaababcaabbaccbb
+abacbacbcacbacabb
+bccabcccaababbacaacbbcccbaaacbbaaabbbabbaabaabacacabccbcccbbbcaab
+abccaacbcbabbaccbcbababbacbbcbcbbcababbbbc
+aaabcbacccbbcccacabbbbabbbccbbcacacabbbccaaacaabccaacbccccabacaabcccacccaaabcccbacaacbcabcaa
+babcaccbaaaabbacccaacbccacbabcabbaccacbbccacbabbbbaabccaacbcbccccccbaabcaac
+baacbccbabb
+cbcbcbacccccccbaacbccacbacacabaaaaabcbacabacaccaacccaacbb
+cacccbccbbaacbcababcaacbbbacacbabbbcaaabbaaabbbaab
+abcacbaccccccaaccaaabcbcaacbaabcccaacccbabacbbacaccbccbbbbbbbcbbbbbccbcacbcbbbcbcaaabcbccb
+bbacbcaabbccccbaccbbcaccbaaa
+bbccbabcbcabbcaabcccacbabacccbccabaaacab
+aaacbbacabacbcbabbab
+caccacaaabcabcbbcaccccbbaccabbaaaabaacabcababbbbbcbcaaacaba
+abbbcbaabccaaaaacccacbb
+abbbcccbccaabbbbcbabaaacaacacbcccababcbcbcacbcbcacbbcaaacccabacbbaaaab
+acbbcaaccabcacbaababcacbacaacbbbcabacbabbbbbabbbababbbccabcaaacbaaccaabbacbcbcabcbbbbabaaaaccbaccacccbabcbcbb
+aabbccccbccaacabcaabbacccccbbbbbcbbacccababbcbcbabbacababbcababcababacbbcaaaacacbbaabba
+abcaaacbaacbcbacbaccccbaabbccbbccccacbaaa
+cbbbcacabacbccaaabbcabcbabaaababbcbaababcbbaccccbcbaaaccabcbabbbaaaccabbababcccaabcabbababb
+cacbcccccbcbacbacbbaaccccacbabccbaaaabcbbbaac
+abcccabcabbabb
+ccaaaacbbcbaccbbcaaaacbbabaacbcbbcbbababababbcaaababbbccc
+ababcccaabababbbabcabccacacabaac
+cbacbccabcaaccabcbcccccbacbbabcaaccbabacaacacbaabbcaccbccbcb
+bcaccbaaabbccacabccabbaccbccaaaacbcbabbbaaabbabccacbbcbcacbbaccccbacccccacbbacbcbabcbacbabbccaacc
+cabcccabbcabbcaccbcbc
+cabaabbbcbaabbbccbaabaaabcababaaabcccbaacbacbbaccbcaaacabcbaaacbaaac
+ccacbbbaabcbcccbbabacbabbbcccaabbbacacbacacccaabaacccababaacacccbabbacacca
+acccabbacabaacccccbaabbccbaaabaccbcaaacbcccaaaaaacbbbaaabcbabccccaabbbaaabaccaaacbccaabaa
+caacbcbaacbbaacacaaacaacaababbabaaabbbabcbcbacccabbcaccacaacbcccacabaaaaaabcb
+abbaabbcbbcaaacccaccbcacbcaaccbcaccacbabcaccabaacccccabacaacabcbaabaabcbcbbccacabaa
+aaaaababcacaacccbabbbbacacbcababaabccbbaacabcacbbacaabbbcabbbbbabbabbaaabcbbcccbbabbabbabcaacbcacbababc
+ccabbcccabcbbcbcbacabbcaaabcbaacbaababcababaccababbcaacaccccabacccbbbbcabbbcacacaaab
+accaabcccbccbccbcacccbbaabababcacbbcabbbaabc
+baaaaabbccbaccccabbacaabaabacbcaabaaacbcbaacbacaacacbabababbcbacabbabbbbbcbacabbabbcaacbabccbbb
+cbacaccbccbaccccaaabcaaababbacaaabacbacbcbcabbacbaabacbccacaaccbacbbca
+bcbbbaacaacacbcacaacabbbacbcaccbcbcabbbbcbcaaabbbcaacbcabaccaccbccaacaaaabbacabcabaaaabacab
+aaaabbbbccabcaccbcaacbaabbabbcbaaacacbbbbcacccbabaaabaacbccaabbaaccaabaabcbcbcbabbbcabcabacbccacbcccbc
+bacaccabbbababaacbcaacaabbaaabcccbaabababccaca
+cbbacbacbaccccccabaacacbbababccababaacbbacbcbaabbcabaaabbbbaacabbccbbcaaacca
+abccbaaccccbcabccccaaabccabaaaccacccbbbbbaacacbbbcbaaacaaccbcccabccbcbcacaaabcbbaabca
+ababcbcbaabcaabaccbcabbbbaabcaccaaaccbababaacaacbbbbbcbbacbcbbabbcacaaabaabcaacacbaccbbaccb
+bbbbaababbcaaabacccacbacbaabbbbbacaaaabbc
+cccbaababbbcaaaabbccbbbcaaacaababbbcabbbacbacaaabbbba
+cbcccbabbaccccbacacacbcbcabcbaccbaccbaaacbbacbaaacabacabcacaaacacbccababcabbabacaababcbaaaabcbcabbabccab
+cacabcaabaabcbcbaabaababcbccbcacbcb
+acbaacaaacbcbaabaaacabacaacababccbaaaacaccccacaca
+ccaacabaabccbacaccbcacaaaccaabbbaaabaababcbbbcbacacbaccacccacbcccccbaacbccbcabacbbccbabaa
+ccaacabaabbabc
+abaabccacccccbacabbabbbccbcbcbabbcacccbaabcbcccbb
+cacccaccbbbcbbbccbcc
+ababacacacbccccaabaaabccaaaaacaaaacbababccbcbccbacccacbbbacaaabcacbcacbbbccaabbbbccbbb
+babccbbcbcaa
+aacbabcaccaaabbcbccacccabccacccbcbcabcababaccabbcccaababbbbabcabcbcbbaaababbccbcccacacaaab
+ccabaccaaccabccaacaccc
+abcbcacccabbcacacbabcbcbacacacacbaabbcabcabbbbcbccbbaabbacaacacacccacbabcbba
+cacbccacabcacccaaaaacbbaaacababcaabcbcbcbcbabcaccababccccaccbcbababcbcbacacbbbccabbbcb
+babccaccbaaabbbcbaaaaaabaccccabccacbcbbaacbbcbca
+bbababcccabbaaaaacbbaacaabbbbacbbabbcbcbbabbacaccbaaccbbbaaac
+cacabaaabcccaabbcaabbaabacbccbacccaacbabbbcbcccaccccacccacaabcccaaabbbbcbcbabbbbbaaabaaccaccbccbcccbbcba
+ccacbaababccbcaacabaaaaaabbacacbbaccacbaababbabbbabcacbcccabbbcaccaabccbbacbbaaccc
+abcabbcaaaccbaacacbbaababacababbbbacaacaba
+bacccacbabbabbacb
+accaaacbab
+accbbbbcaccaccbcbbbabcabaaacaacaabaccabcacbabcaaabbbbccbcbbcccbbacaacacbbbbccbcbbbcabac
+bbcbcacaacacccacbbaccabbbacbcacabbbabccbaaaacbcabacacbcacbccabcbcccab
+bbcbbccaacbcaaacbbaabcacbbbbcbabccbcbbaacabbacaaabcbbaaa
+bbacbaaacaabaaacacacccacccbbbccabcbcbabbbcbbcaac
+aacaababbbacaabbbaccaaac
+cccbccbbcaccaccbbbacbbabababbccbcbbabcbacbbaacabbbacbacbacaacbaaacbbbaabaccbaaccabaaababcbaaccccaacac
+bbabcaabbbbbcbbcbbcaaabcbbbcaccaaccacbcbabbbaaccccaabaabbbabbbcbabbccabccaacbacab
+baababaacabccccaccbaaaabcab
+aabbacbbccbabacbccccacbccacaababcaacbaababcbacaacacccbccabbbaaac
+abaabacaaabbac
+cbababbaaccbcbcaaacbabbbbaabaabbccbbabccabbbabccccbccccbcabbccccbabbbacacbaccbabacbbacababbaabcb
+bcbbbbacaabbacccaababcbcbcbabcabacbccabaaaaacacabcacaacaaaacbacccaaacaccabcacbbcccababacbbaabbbbcabbbbacbaa
+cbcacbbcbcccabbaabbabbabcccabbbccccaccaaccabcbacb
+bcacbbccbbaabacccbcacbababaabaaababaaabbabaabbaacbccbaacbbacabcbcaab
+cabbccacbcabaccaabaaaaccbaacbccccabccccacbbabbaccbcbaccabbabccbabcbcccacbaaccbcbccacccbccbbabaabbccacbbabcabc
+cabbbcaaabcccabccaabcacccbccc
+babbcabcabbabccbaccccaa
+caaccaaccbbbabccaccba
+ccbaaabbabbbbbaabcbaabcbbbccbaacaaaa
+ccacabbcbbcaacccbbcbaaacaaabccaaacaccacbaa
+abcbbbbabcbbcacbbbacbacacabbbacccbabcababcbcbcbbababbbaac
+bacababbcaacbccccabbbaccaaababcbaccacabacccccaccccbbbabacaccbaaccbbccc
+bcabcbcccabacb
+bbaabcaaccbbcbcbcaccbbbbbbaaacbaabbacbccbabacccacbbbaaaaccaacbbcaabacbccbcabcbacaacbcaaaabcaacbbabcabcbaabaca
+cacaabbaccbcbb
+bbaabbaaabcbbccbbc
+cbccccbaacacccaacbaccabbbbbacababababbcaabacbbccabbcbccbcbccabbbaaa
+ccacaaacaaaabbabaacaaacbbcaacbcbac
+baaabbbcbaabbccbacbaabbcbaccaaaaaabaaabaaccbcaccbabcacbbbbbabccbabbacaacbabaab
+cccbbcccccc
+abbabaacabccaacbcbcbccc
+bbcbacbabbabbaaccbcababbccaabaabbaccaccbaccccbcbaacaaacc
+bbcbacabbccbbccbcbbcbaba
+bbbabbaaaacabacbabacbcabaabcbbbbabcaaaccccabbabbbaabcbbbbcbb
+cccaaccbcbabaacbababaabcaabcccccaaccabaaccccbcbcaab
+bcaaaccabbcbcbccabbacabccaaccaaabbbabbccababbaabcbacaaacccbbabccaaaabaacbacaca
+acccaabbcbcbababaabcaabccbbbaabaaccababbaacccccccccaabcbacbbcbbbaccacacbaaacbcabccbbaa
+abcacabaabbcbabcaccccbaaaaaabacacaacc
+bbacbccbccbbbbcabbcacac
+aacbccbabacbbcbaccbabbbaccbacbabcbccc
+acbbcccacbbbaaacabbacacbbabacccbacbacbccccaacbbccbbbbbbbbccbccbac
+cbabaababaabaccaaaccaabbbccbcbabbaabcaacbabbaccabbcaacaabababcacbccccaabcacaccaaabbbbcacaabccccacaa
+cabcaccbcabbabccbacbcaabccccbacbbbbccbbbbccccccbcbacbbbcacbcaaaabcabbcbbabbacaba
+abccabcacbccbcabbabaababb
+ccabacacbabbcacbbcababbbcbbbaaabcabcacaabbaaccabbaccaaccabbaaabbccaccccb
+bbabbabcacccacabbacacacaabaaaabaacbccabbbcccccabbabaacaccaacabaaacabba
+caaacbcacbbbbbbacaabbbaabcbbcaabbccccbbabaababbcbbcbbbbccbbcaabbcbababaccacbcabaaabbc
+babbababbcacacbbcbabbcbcababbaaccacaabbbaacabbacabbbbcaacaabbaacacbaaacacacbbccbcba
+aaabaaacbacbacabcbcaccccbacccbbbccbaaacabcbbbbcbabccbbccccccc
+abcbbacaacabbbbaa
+bccccabcbacabbbabbbbaabcccabacacaacbccbaccbaacc
+abaaaabbabcabcaaacabbbbbbcbabcbcacbabbbbbbaaacbababcccacabcacabccbaabbbcbbccbaaaabcacbccbcbcbaabababcccbabbb
+acbcbaccbbcccbacaaabacbaaccaabbaaacbbcabccccaacbbbaabaccbccbaaa
+aaaabcbaccbcc
+aaacbaacabccbbbbccbbcbbbbbacbacbaacaabababbacbcacaacbbbbbbccacabcacbcbaaabcccbccacbb
+cacbcbbcbaccccca
+aaaccccccbccbacbccabccbbabaaabbcbcbbbcacabbaacbcbabcaaabbaccbbabcccabbabcbabbab
+ccbbbcabbacbacbababbcbb
+cabcabbacabccaabcbaaabaccbcbaabbacbcbaabaacccacabbcbccbbcabbbabbacbaabcccabacabababcbccbbcbbba
+cbacacccaabacbbcacacaaaaaabbcabbabaacccbbbcaccabcbacaaaabbaacccbaccabacabacbbaacaabacabbbc
+cabbccaabcaaaabcacaabcbcabacbccccbcccbcbccaccbcbccbccaaaabaaacccbaabcabaaacbcbcaaabcccaaabaacbcb
+bcabccaaacccacbacbababbcbcbaaabcabcabcaabbbababcbbaaccabbcacbacbacaaabab
+baccbcbaacaacccacbccaccaababaababaabaaabacccabcabcbaaacbbbbcbbbaabcbbcbbbcaababacbaabbcbcacbcbccbcbaa
+acacacaaaccbbaccacaacacbcabbaccaccabcbbbbabbc
+caaabbabcbabcaaabaccc
+bccbcaccabbcaaccbcbcacaabaccaaabcacbccaabaabaabcbbaaabcbcccccaabacbccbcacbbccccbccccaccccbaccbbcbacbaccaa
+cbacbaaaabccbbcacbabbac
+cababcccbbabbbccabbcaccbcacaacbccbccbbbccbccbbaabbcaaacbbbabaccbbabccbcbbccabcccabaaacbacabacabccbba
+aacaacbbbbcabbcbaababbbabacaabcaacbaacbacbcbababcbbaaacbcaa
+bccbcccabcabacabbbbbbccbbccaacbbaabaaacabaac
+acacccbbbcccaababbbaaccccaaabcbbcbcababababbbbcaaaabccabcacababcb
+bcbabacaacacaaababbabcbaabacacbccabaacccbccbccbcabcb
+cbcbacbbaccccbcbacaccaccccacbcaccbacabacccbbbccbacbaaaabbababcabcaabbcbbbccaaccaaabbaacabbcaacb
+bbcbcccabbcbcbbacbbcccaacababbabcbaaccbbbabbabccccbbccacabcbacbcccbaccbcaaaabcbb
+bbabaccaccababacacbbbcbcacacbaacaabbbccacac
+cbaacabbccccacbaaacabbbacabaabbbaccbccccacaabbcacbcbc
+cccaabcbbbbacabbaababbbbabcaccbabbbcabbcabaabbcbbabaccaccbcbaabba
+acccbaabaabbbbcbccbbbccbaabacbbcabbbccbcbccaaabaabcbcabcaaabcbaccabcbcaabbabaacaabbabccccca
+bcacbbbcaacbbbcacbbbbbabaccbccbbcabbbacbbcbacc
+abcaacbbcacaaccbbccabcbacaabbcccbacacbccbcaccbccaaabbcbabbcabaacbbbbaccacbcaccbcbaabacbcbccacc
+abbbcbabaabcacbbbcbbcbaacaabaacaaabaccbabaaa
+abbccbccacbbaccaaaccbbabcccaaccaabbaaaacaabccaccbabbbccabbbcccbcabbbacbcbaacaaababacaacbacbcbbbaab
+bcbcccacbabbbcacbabbbacacabcbaaaaccabaccccccbbabababcaabcaabacbbcacabbacacbbbbbccccbacbbabaccabbcb
+cabbbbcbbbbacbababbcaaaccacaabcacb
+acaaccababcababc
+bacbbcababcaaacccccabbaabababcbcaaabcbabbacccacaaaaabababacabcbccaabbcbca
+cabbabbcabbc
+bacbcacccbbbaacbabcbbcbccbcbcabcbbbbbcacbccccaabcbbac
+acbaacabbcbcbbcacabcbcccabccacbbcbacbca
+ccbbcaacabaacbcbbcbcbbb
+accbcacbabcaacbbaabcccccacacccacbcaaacbaaaabbbccbccab
+acabcabbabccbccabccabcaabbaababbcbabcca
+bbaacaacbbbacccbaacbcaababcaabbcbaccbacaacababbcacccbababbcbbcbaaabcccaabcbbbcbabccabbccbacc
+abcbacccababcbacbaacbbcbbcbabbbcaaccacacbabcacc
+baabaaaaabbaaccabbbabcbcc
+ababbacabacbacccbcacbabcacac
+bccabbaabcaabcccacbacacacbccbccbabcacabaabbba
+cccbcccbbcaacccccaabcaaaaabbc
+cacabcccaccccbabbaaaacbbb
+cbbccacbbbbcacaabacacabcbcabcaccbaaabbabccacabcbbbcaabccccbcbaacaabbccaaaccbcaccbbba
+bbcaaacbcbacccaaccacbbbbcaaaacababacbccbccbcccccbaaabbcbcbabcbbcbaccabccabaaabbabcb
+bccbabcbccbacaaccbbbcbbcbbabccacccacaaabcaccbaacbaacabbcccccccabbbaccaaacabacabacbcbacabaabccacbbbaab
+cbaabbcbccaccacbbacbbcbcbcacbcbbbbcacbbbaacbcabacaabacccacacbbbbccbc
+abbaacaacbbbacbcbcbccacbbcbbac
+baccbcccccbbbcbccc
+cbaabbbabbcacbaaaccaabccaabbbbbacbacaaacb
+aabbabcccbcaabacacbabbcbbbcbabbacabbacbbccaaabbbbcab
+ccccccbcbcbcccbababbaababcbcbababbcbaa
+bbcbacbccaccbbbbcbcabcccbcaaaaaabacbaacabbbcbbbccbaababbacaaacacabbacbbcbccccacc
+cbccbccbabccaccbbccbcbbcccaacbcabcabbcbccacaab
+bbaaaaaccaabcbacabacaacaababbcc
+baacbbbcbbbcabcbcbbaccbcbabcbabacbbcbca
+baacbcacbacacabbaabbbbcabaacacbccccbbabaacabaaabbacbcaaabaacabcabcbabbacbaaaabaccbccabbcabbcccabcccbabbbcab
+acaacbbccccababbbbbcbbabcbaccabcccbcabbcbabbabbabccbbcccbbcacbbaccbcababbcacbcbbbcaccbacbcacba
+35 14
+cabaaabbcbbbcbacbaaccaabbabbcabbaaabaccaabcabcbacbbbacbacbbaaaacccaccbaacaacbcacccabcb
+cbacbbaaaabbb
+acbcbccabbbccabccabbcbaabcbbbccbcccbbabbccccbaaccbcacaccacbabcbcacaabcbaccbbcabccacbbababacccccccbabb
+acabbcaaabbbcabaacbbabcbacbbabaacbbcabcccccbacbabb
+cbabaabbaaccaaaacabbabababaacbbaaacabcabbc
+abbcbbbcabbcaabbcaab
+aaacaabaaaccaacbcccbccbcbaaabbaaaabab
+babbaaacabbbaabcbacacaaaaabbbcbbbacabbabbbcabcbcacbaacbbcbbacbcbccccbcccbcbcbabccc
+caacaaccabcbbbbcacbcaabcbabbbbcaba
+bcbbbcbbbcacbaacbbaabbbaabbacbbabcaabbabbbabcaabbacbabbbccacccabaccbbabbbccbaa
+cacabacbaacabcaababababbbbbbbaccbaacbbcaacbbaabcbccabaca
+aaccbacabbbcbcacbccacababcaabccabcbcbccabccaccaccacaababbccbababccabbcabb
+acacbaacabababbcaabaca
+cbaacacbbbbccbaacabacacabcaaccacabcccabcbabcbbcaaacaacbbbcaaacb
+ababaaabcbbababaccbcccaccccbbbabcbabacbaacbbccacbacccbcbcacacaabaaabccacabcaabbacbcabbcb
+abcaabaacbcaaccbcaaabbcbccaaabbcacccbcbaccacbba
+acccabcabccabcbbccabbbcbbbbcacccccababaacaccccccbabbbaa
+cccbcaacacaabbacbbcaccaaabbacbcbcaabbcbbcccbaacabcaaaabcabacacccbaacaccabbbaacaaabcbabcbaaacab
+aaacabbaacbaacaaabcbcaaacaaccaacabbbcaacaabbabcbcbba
+abccaaaaaacababbbbcbaacaabcaabbaacbcca
+bbccabbccbcbcabacbcbbccaabbbbbabcbcabccacbbbcabacbccaccabacaaccacbbbccbbbbcbcccaabbbbbbaabacbbabc
+aacacbaccbbacaacbcbbbcbbacaaaacccaaabccbcbbb
+bccaaaccbacccbaaaacbbccaaabcaabcbbbbabcbbcbaccccabcbcbcbabbbccbbbabbccccbaaababcccacbacbbccccacbccabaaca
+accaaacbccacabbabbcaaabbcbbbbabccacaabccbccbaccccbaaabaccbbcacacabc
+accbcababbccccaacabcaabcaaaaccbababaacacccacabacaaba
+aabcaccbbacbaccbbbababbbbbcbbccbbabbcbcaccaacabcbabcbbaacbacccccccacbcabbc
+bbbaccbccbaccbcbbbabcccbabacbcbaaacbbbcccccaba
+abcbcaabbabbcacbacccbccbbbcbcbbaccabbacccbaaabbaabaabcccaaab
+bccabacbbacacb
+cbcaabbaaaccaaabaaababccabbbbb
+baaacccabbcbbaaaac
+babaaaaaaabccbbccabaacaabcbacbbabacbcbabacbccbaaabca
+cbccacacabcbcabacababbacbabbbcbcbacbcaaabbabaacaaaaacaabbacbbbbbaccccbbbbaaaabcbcbbaabccbaccaacccbabccaacac
+acbcabcaacccacacbcacbabaccaccbaccaabbbcacbccaabcabaaabbccabbbccaccbaaccccbacbaccccbbaabcaaacbbccca
+bcaacbccbbbabbbacacccbbaabcbcbbcbbb
+144 78
+bbabbbaababbbbbbababaaabababbabbbbabbaaababa
+aaabbabbaaaaabababbaabababbaabababaabbaaaabbbbaaabb
+babaabaaaababaaaabaaabbaababbabbabaabbbaabbabaaabbaaabbababaaabbbbbabaaaaaabbbaaa
+aabbaaabbbbbbbba
+babaabbbbababab
+babaabaabbbbaaabbbabaaaababaababbbaaaaaaababbaaabbabbbaabbaaabbabaabaaabbabbaabbbbaaabbaabbbaabbbababa
+babaaabbabbbbbaaabaaabbbbbbbbabababbbaababbbaabbbaaabbbbbabbbaaaaabbabbbaaa
+aabaabbbbbbbbbbbbbababbaabbbbabbaaaaabbbbbaababbabbabaaaabaaababbaabaabbabbabababaaabbaabaaaabbaaa
+abbaaaaaabbbabbaabaababbbaabbbbabbbabbabababaabaababbaaaaababbbbbbbbaaaaaabaabbaababaaabbbbabbaaaba
+baabaaaabbaabbaabbbbaabbbabbabbabaaaabbaabbbbababbaabababaaabbabbbbbbabbaabaaaaabbaa
+ababaababbbabababaababbaaaaabbaabbbaabaa
+bababbbabbbaababaaaabaabbbbbbabaabbaababbbbbbabababaabbaaabaabbbb
+ababaabbabbabaaaababababbabaaaabbbbaabaabaabbabaabbbaabbabbbbababba
+ababaabbbbbbaabaabb
+ababbabaababbb
+aababbbababaaaaabbbbbabbbababbbbabaaababbbbbbbababbbaabbabbbbbabbaabbbbababbbaaababaabbaaabaaaaaba
+abbbabababaabaaabaababaaaabaaabbbbbbbbbbbabbabbbbbabbbbaabbaabaaaabaabbbbbbbabaabababbab
+abbbabbabbabaababaaaabbaaabaabbbabbbaabbbbaaaabbaaabbabababaabbabbabbaabbaabaabbaabbb
+aaabaaabbbbaaabababbbababaaabbbbaabbbbaab
+bbbabbbaababbabbaaababb
+abaaaabababbababaaaaababbaba
+abababaabaaaaabbabaaababbbaa
+abaaaabaabbbabbbaaabaababbabaabbbaaababbbabbbbaaaaaaababbaabaaabbababaabbbaaabbaaaabbabbaabbbaaaaabbaaabb
+bbbbbaabaaaaaabbabbbaaababb
+aabababaaaabbabbbbbabbbbbababababbbbaabbbaaaababbaaabbaaabb
+aaabababbabaabaaabaaaabaabbbababbbbbaaaababbbbbabbbabaab
+bbbbbaaabbaaaabbababbbababbaaabbabbabbbbbbabbbbabaaabbabaaaabbaaa
+aabaaabbaabaabababbbaabbbbbaabbbbbbbbaaabbabbaaaaaabbababaaaaa
+baabbabbbabbbaaabaababab
+bbabaabbbbbbababaaabbbaaaabbbabababbabaaabbabbaabbabbabbbbbababaababaaaabaa
+babbbaaaabaabaabbaaabababbbbbbbaabaababaabbbbabaaaabbbaaabbbaaababababb
+bbbbbbbbbaabaaabaababbabbaabbabbbaaabbab
+aaabbbbbbabbaaaaaaaaabbbbbabaabaaaabbaaab
+baaaaaaaaabaabaaaabaabbabbbbababbabbbabbbbbaaaaaabaabbabbbbaaabbabaaaaaaababa
+baababbbabbbbbaababaa
+baabbaaaabbabababbaaaabaabbabbbbababaabaabaaabaabbabaabbaab
+aabbbaabbaababaabaabababaabaaabaaaabbbbbbbaaabbbaaabbbbabaaabaaababaaabbaabbbbbbaaaaaa
+baaabbaaabbbaabbbbabaabaaaaaabaababbabbbaaabbabbababbbababbbbaababbaabaabaaabaababbaaaa
+abbabaaaabb
+abaaabaaaabbbbbbbabbbabaabbaaabaaaaaababbbbb
+abbbbaaaaabbbab
+bababbbabaababbababbaabaabaaaaabababbaabbaababbaababbabbababbbbbbaa
+abbbaabaabaaaabbbaaaabbbbaaabbbabbba
+bbaababbbaa
+abbaaaaaaaabbbabbbaabababaabaabaabb
+aabaabbbababbaaaababbbbaaabbabaaaababaa
+baababababbbaaabbabbaababababa
+aabbbbabbaababaabbbababaabaaabaabbabababaaaaabbabaaababbbbab
+babbbbbaaabb
+abaabaabbaababbbabaabbabaaababbbaaabababababab
+ababbaaabbbabbababbababaaabababa
+bbbabbababbbaababbbaabaabbbababbababaabbbbbababaababbbaa
+bbaaaabaaabbabbaabaaaaababbbaaaabbaaaaabaababaabbabaaaaabbabbaaababbabababbbbbaa
+abababbbbaabbbaaaaab
+aaababbabbbbabbabbbbaabaabaaaabaaaabbbbabbaabbababaaaaabbabbbbbbbaaaaabaaaaabaaaaabaabba
+aaabababbaabbaabbbbbaaababbbaabbabbbbbaaaaaababa
+bbababbbabbbaaabaabbabababbabbbaaabaaaababbbbbaaabbbabbb
+aaabaaaaaaabbabbbababababaaaaabaaaabbbbbbabbbbabbbababbbbabbababbbbaababba
+ababaaabaaaaaabbbaabbbbbabaaababbabaaaabaaabbabaaababbbabbb
+aabbaabbbbbabaaabaaabaaaaabbabbbaabbaaabababaaabbaaaaaabaaabbabbabbbbbbaaabbbabababa
+baabbabaabbabbbaabaabbabbabbaaabaabbabbbaabbabbaaaabbabaaaaabababaabaabbb
+aabbaaaaaaaabbbbabbbaaababbaaaabbbaaaaaaaabbbbaabbbbbaabbaaabbabbbbbaaaabaaaabaabababbaaabbbbbababbbabaaba
+abaabbbaabbabbabbbaaababaaaaaaaabababbbbaaabaaaabbaaaaaaababbaabb
+aaaabbbbabbbabbaaaabaaaabbaaabaaabbbabababbbbabbabbbabbabaabbaaaabaaaabbbbbbaabbbbbababaab
+abababbaaabbbaaaaabaabbabbaaaabaaaaaabaaabbabbbaababbaaaabbbba
+abbaabababaaaaabbabaababaabab
+abaaaabababbabbbbbbabbbabbbbababbbabbbbbbbbba
+abbababaaaaaaabbbabbbabaabbbabbbbabaababbbbaaaabbbbaabbbbbbbbbbbbaabbaaaaaabababbbbbbbbbbbbbbbbbabaaa
+abbabbabbbbbababaaabbabaabaaabbbbababaaaaaaabbabbababbaabbaaba
+abaaaaaaabaabaabaaabbbaabbaabbbbabbbbabaaabbbaaaababbabbbbabaababbabbbbabbbbbaababb
+aaaaaabbbaabbbabbbbbabababaabbbaaabbbbaabbaaabbbbaabbbaabaaabaa
+baaaaaabaabaaabaaabaaaababbbaaabbbaaaababbabbabaabbbababbbaababaaaaaaaaabbbabbabbbbaababa
+babbbbabbbbaabbbbbbbaabbbbaaababbbbbbbbbbaababbbaabaabbbaabaaaab
+aabbaabababbbbbbbbaaaaaaaabaabaabaaaaaabbaabbabbbaabbbbabbbababababbbaaababaabaa
+abababaabbabaaaaaababaabbbaababbbaabababbabbaabaabbaaaababbaab
+bbaaabaaabbaaaabbbaaaabbbbbaaaaaabbaabababbbbaaabaaaabaaaaaabaaaabbbbbaaabaabb
+baababbabaaaaaababbaaabbaaaababaabbababbbbbbba
+babbabbbbbbbababbbaabababb
+abaaabaaababbbbaaabababaababbbbbaaaabababbabaaaabbbbbbabababababbbbabbbabbbaababbbaaaaaaaababbbabbaaaba
+abbbabaababbbabbbbbababbabaaabbbbbbbaaababaabbaaaababaabbaabababaabababaaabaababaabab
+aaababbbbbbabaaabbabbabbbababbbabbaaaabbaababbbbbaabbb
+aaababbbaaaa
+ababababbbaaabbbbabaaabaababaaaaaaabbbaabbabbbabbbbaaaabaabbbbbabab
+aaaabbaabaabbbabababaabbabaaaabbaaaabaaaabbaaaaababbbbabababbaaabaaabaaa
+aabbbbabbaaaabbabbabbaabbbbabbbbaaabbbaaaaabbaaaabbabbbbaabaababaababbaababaaa
+bbaaababaabababababbabaaaaaababaabaababbababbabbbbbbaaaabbbbaaaabaab
+abbaaaababaaabbbaabababbbaaaaaaaaaaaaaabbaabbabababbbbbbbbb
+bbbaabababababbbbbaaababbbbaaa
+aababbbaaaaaaab
+babaaababaaabbabbaaaaababaaabbaaabbabbabbbbaabbbabbabaabbaabab
+bbbabbbababbaa
+abaaabababbbbbabaaaaabaaababbbbaababbabbbbabbbaabbabbbbabbabbaaaabbbbbbbbbbbbbbaabaaaabaaaabbaaabbaaaabaabb
+aaabaaabbbabbabbbabbbbaabbbbbbaabbbabbbbbabbbabaaaabbbaabaaaabababbaaaaababbbbabbbbbabbab
+aababbabaabbbbaaababbabbbbbabbabaabbbaaabbbaabbababbabab
+babaabbaaabaaaaaabbbbbbbaabbbb
+abaababbaabbbaababbbaabbbaababbbbbaababbabbbaa
+bbabaaabbaabaaaaaaabaabbbbbb
+abaabbbbbbabaaaabaabbbabbbaaba
+abbaabbbbbbabbbbabbaaaaaabbaaababbb
+bbabaabbbbbbbbababbaaaabbabaababbbabbbbba
+aababababbaaabaaabaabbaabbaaabbbabbb
+aabbabbaaabbabbaababbbaabbbbabbabbbbabbababbabbbbaabbaabaaabbabaaabbaabaaabababbabaaa
+baababbbbbabbabaabaaababbaaabbababaaaabbabbbbaaaaaabbbaab
+aababbbaabbbbbbbbbbbaaaabbaababababaababbbbaabaabbbababbbabbaaabbaabababbababaaabbbbabbbaaab
+aaabbbbaabaaaaabbbababbabbaaabbbbaabaaab
+bababaaaabababbabbbabbaaabaababbbabbabbabbabaaabbbabbbbbaabababbbbaaaabaaaaaababa
+baababbaaaaabbbabbabbababbbbaabababbabb
+aaabaababbbbaaaabaaabbbaabbabbbaabaaaaaaaabbaaaabaaaababbbaabaabbba
+ababaabbbbbbbabaabbbbababbaabbbbababbaaaabbaababbbbabababababbbababaabbbabba
+abbbaabbbbabbbbbbbaabbbbaababbaaabaaabbaabbbaababbbabaaabaabaabaaabbbbaaabbbabaaabaabbaaaaa
+aabbbaaaabbbabaabababbbbbaababaabbbaabbbbbabababababababbbaabaaababbbbabbbbbaabaaaabbbab
+bbababbbabbbbabbbbabbbbabbbabbaabbabbbabaabab
+baaaabbbbaaabbabaabbbababbabaababbabababaabaaaaabaaababbaaabbaabbbbabbaaababbbaabbabbaaabbabaaabb
+baaabaabaaaabbabbbaabababbbabaabbbabbaabb
+abbbbbabbabbaaabaaaabbbabaaa
+aabaabaaaabbbbbaaabaabbbabbabbbaabbaabbaaabbbbbbabbbaaabbaabbababbbababaaabbb
+aaabaabaababbaaabbbaaababaabbbabaaabbbaaabbaaabaabaaabaaaabbbabaabaabbabbb
+baaaaabaaaabbababbaaabaabbbaabbbbaababaaabbbbaabaabbaabababbbaabbbaaabbabbbaabb
+bbaaaabaaaaabbbbbbaaaabbabbbbbbababbaaaabaaabbbbbbbbaaababbbbbaabbbababaababbbabbbbaabaa
+bbaababaabbabbbabbbaaaabababbabbbaaaaaabbabaabababba
+aabbbbbbbaaabaabbaabaaaaaabbaabbababaaaaa
+abbaabbbabbbab
+bbbbabababbaaabaabaabbbbbbabbbababbbaaaba
+bbabaaaaaabaaaaababa
+abaaaababbbbaaabaababbbaabababbbaaabaabbabbaabaaaaaabababababbbaaababaabbb
+bbbabaababaaaaabaabbabaaabaaaaaaabbbbbaaaaaababababaaabaaabaaabaaababaaaaaaaabbbbababaaaaabbbaaaaabaabbaaabb
+aaabbbbabbabbbbbabbbabbabbbbabaaaabaababbbaabbaabbbabbaabbabab
+babbbbaaabaaabbbababaaabbbbbbababbbabb
+baaaabbbabaaababbbaaaabbbabaababbaabbbbababababbaabaababbaabaababbb
+baaaaaaaabbabababbaaaababbbbabbbababababbbabaabaabbbbaaabaaabbabaabbb
+babbabbbabababaabbbbbbbbbbbabaabbbaabbabbabbaabaaabbaaaaabbaabaaaaaaaabababbbbaaa
+abaabaabbbbbabaabaaaaabbbbaabababaabaabbbbbababbabababbbbbbbbaaabaabbaaababba
+abaaabbbbbabbbbbbabbbbbbbabbaaabbbababbaa
+babababaababbbaabaaaaabbbabbaabaabaabbbabbbaabaaabbabbababb
+baaabaaababbbbabbbbbababaaaabbbbaaaaa
+bbbabaaabaabbbbaabbaabbbababaababaa
+aaabbabbabaaaaaabbabaabaabbbbbabaaabbaaaaaabbbbbbbbabbabbbaabababaabaabaabaabbabbbbaaabaaab
+aabbabbbababaabbaabaabaabbabaaaaababaabaabbaababbabbabaaaaa
+aaaabbbaaaaababbbabbabbabbaabbabbaaaabaabaabbaabaabbaabaaaaaabbabbaaa
+abaabaabbaaababababbabbaabb
+abbbbaaaaaa
+aabbbbabababbabbabaabbbbbbabbbbbababaaaaaaabba
+abbabbabbbbababbbbbbbaabbaabbaababaabaabbbbaababbababbbbaababb
+abbabaaabaaabbbbabbabbaaaaaaaabbbbbbbbabababbbbbbbbbbaaabababbabbbababbabbbbbabbbabbbbabaabbaabbbbabbbabbbaa
+106 19
+ccaaabbaabcccaacabcbcaabcacbcabaacababaa
+ccbcacbaabacacbaabbbbcbabaccaababcacabaaacaabccbaaccaccccbcaaaaaaacaaaabcbbbbcbaaaaaaa
+cabcabbcabaacccbacaaacccaaacbcbbbbb
+abaacabccbcbcbcaaaacbcbabbacabcbbbacaabcabbbbbcbaacccababbcaca
+abccbaabbbbacacbaaababbacbbcbacccbbacabccaabcacbcbcaccbaaaccaaccabbccbbccacbaacb
+cabababbaccbcbaacbb
+bbccbacccccaccabaacaababaccaacbcaabacbaaabbbaacacccbaaccacabaaccaccabbbbabaabbbacc
+bccbccbbabcccabbabbacbbcabaacbbabcbacacaccbbccababacbcaaaccccbbbcabbababc
+acbbbcbaaacbcaaacaaaabbaccccccccbcbaabbabaaababccbcbcacbabcbbccccbbcababbcbcbbcbaabacbcabaacbcbbaccccab
+abbcabcabbbabaaccbccccbabcaaabbcbcbacaccaaaccbabcb
+bbbcccaaabacaaaaabbbccccabbaabccaaabccbb
+ccabaacbaacaaabaaccbccccbbbcabccbbcbbcaabbbabcbbcabaabccbcacaccbcbaabaaccacaaccacbbaaccbcaaacb
+caccccaaca
+bccaccabcabbcababbbcbccccbcbccbbccccaacb
+bacaacabaccaaccbaababbabbbcc
+bbbaaacbcccacacccccaabcbccbbbcbbcaab
+cabcaccaabcbaabcbbcaacaaccaaacaccbbaccccacabbbcbccabcaabbabcaa
+cabaaabbcbabcacbbcacabacbcccaabccacabcaacacaaaacabbccbbbbbbcacbb
+cbaccccbbcbcbcbaabcbabcacaccabbbacabbbacbccbcbbbbbabbccbccbbacbccaaabbccbaabbabab
+ccabbccabaaccacbccbbabbcaacccbcbaccbbbaabbbcccabbabbabacaabbcabbbacacabaaaabbbbbcaabbcaccb
+aaabcabacbbabcaaccccabccaccacbbaabaacabcababbacccbbaacabccbcccabbaccaacccacbcbbbbccbbbcac
+cbcababbbcabaababacabcbabbabaabaabbbaaccccbbcbbaccbaaccabbcccccccabb
+ccbbbbccaaccbaabbacaaabaacacacbccbaab
+caccbbaaaccbaccbcccbbcab
+aabcbcabaaabaaccbbacabbaccabbcccccaacbbbcccbbccaabbcaccbaaaccbaabbab
+bccccabcbabcbcbaabccaabccabcbbcbbbbbaaccbbcbaaccaabacbb
+bcbacbabbccbccbccbcbcaaaacabcbaacabbcbbcaababacccccaccbbaaacbbbcbcbcaaabaacabaccbccbacaaabccbcababaaaccbcb
+bccccbaacabacbaab
+ccabccbcaccbbabbbcbabcbbaccaaa
+cbaaacbbbabaccacbacbcbbbbabbbcabcaccccbab
+cbaabbbbbbbcababcabccabbccabbabbbcbbbcabbaaaccacaaac
+bcabbbbbcbcbbaacbcbcbcbbbcacaabbcbbbbcbcaacbacaababbbcc
+babcaaccbbcbccaababbabacccbcbcbcccacaabccacbaabacbccbacbaabccbcacababacaacabbba
+baacacaacbcacbcaabbccaaccacaabcacabaabaacbccaaabcccbbbaaacbcbcaababbbbaacaaacacacbcccacaabcbabbccabbbbacbcc
+bbcbacaccaabcbaaaccaabaabaabbabcabcaaabcacbccacbabaabaabbbc
+bcabcbbcbaac
+baabbcbacccaacabbcbbccbabaacabaacbcbabcbbac
+abbbacaccbbcca
+bcacbbcbbaaaaaacccbbacccbbcbcaacbbabcbabccccbbcabbcaccbbcabaaaaabcbbcaaaaacbbacabccbbcbbabcbbccccacbbaaabaaa
+abccbccaccccacccacaacabcbacbbbacabbcabcbcbabbacbaccacbbbacbcabccaacbababbcabbbccbb
+bbbbcccabbcbccccbcabcbbcccabcbcbbbcccacccacbcbccbbcaacbacbacabaaacababbacbcbcabbbccaacaabacaac
+acabbaaacbcacbbaabccaacabccccbcbcbcbbbbababbaacabbbabcbaaccabcaaccccccacababacbabaaccbacbacaabccabbac
+abcaabbabcacbcccaabcabaaacbccaaccbcaccbcaacbbbcccccbcc
+aabbbaacaacabcbccccaaaababcbbabcaabbbbabcabbbabbbbbbbcbccbbbbcbcbaaacbbcbaaaaabcbbccaababbbaacaacbbc
+bbaaaaabbaaacbbabbabaccbacccababacaacaaacabcbcbcccbccbc
+baacacabaabbbcaaaaaabbccbaabaababccacaccbbaabaccaccaaaabbcbabbacbbccbbcaacbbacacccacccbbbcbbcaabbabccb
+bcbbcaaabaaaaabcbabacabbaaacabbcccbbcacaacbcaabbaacbbcccacaaaabcaaababaccbbbbaababccaaaccabbbabbccca
+cabaacbbccbbcaabccaacccbaacbcbcccccacaabccccbccacbab
+baaaaaaccbcabcbbbbcccaaccbabcaababcccbaccbbbbbacaacababcababacacbccccbbacbaacbbcaccaaabaabccbcaaaa
+abbbbbccccacbcbbbbccbbaaacabbababaaabcabbbabacbcbcccccbabbaacaaacccbcaccaaccabaaabaabacccbba
+ccbaacbccaabcbaabcbcccbacabcaaccacbbcaabccbcbbabccaabababaababacaaabaccabbacaaabaacaaccccccbbbabbccbaacacacaa
+bcbcbbcbaaabbbcc
+ccaacaaacacaaacbacaaacbabbacbcbcaccaaabbbaaabbbacbbaccbcccaccbccaccaabbbbbccaaccac
+babbccaabacb
+caacaabaccacbaaabcacbcbacbabaacccaabbaaabcccacabaaababababacbcbacbabaaacccabcabbbc
+ccacbccbaaaabaaababacbcaaaaccbabbcbbcbcabccacababbcababcacababaaacacccaccccaacbabccabcaaba
+abcbccccccbbbbcaaabaccccbaccababcbbbaabbaabaaabbacbbaaacaaaacbbbabcbcabccaacaaabacccaaababcacababbbccb
+cbaacbbacbaabbcbacbccabaacacabbbcacaaabcaaab
+bcacbbbcbaccaaccbbabcacbaaa
+cbbcbbbcbccbcacaabbbabbaaaabaccacc
+acabacaabccbabcabbccacccccbcabbcacabbacabcaacbccaabcccabcaabacabababbcabccba
+bbcabcbcaaabaabacbcccbccbccacacaccccbcbbacaaabbcbba
+ccbbccbcccbcccbccaabbbac
+abbcbcaabacbababbcbbabbbcbbbcbcbbbababcabbcbabcbccaccc
+acccbabbccccabac
+bcbcccccbccabbacbbaacbbbcbcbacbababcccbcaacacaacaabcbcbccabaacbcbbbbabcacbcc
+cabaababbaccbabbcbabcaababacabaaccababbcbabcbabcbbacbcbabcccbabbcccacbcbbbaaaca
+babcaababcbaababaaaaccbcaacabaaabababacbabacccabbaacacbbcccbbacbbabccabbabbbabaaccbcabb
+cccccbbcbacabacabcabaaacabaabaaccccbacbcbabcabbcbcb
+bbccbbabbbcbcaccacabcbcaccaabbcccbaabbcbaccbaaaaacbaa
+aabbbcabaaccbabababccbcacacabaaaacbbc
+bcabcabcabaabacab
+bcaacbacaacacbababcccccacbabcaaaaaababbbcabaccaccaabbacbababccbaacaabaabbaccaabcaacaaabacaccabababa
+baababaacccacbaababbcbcabacc
+babbccbacccbcacbaacacaabbcabbcababcacbbbcbbbbcccbbbcabbacacacacababcbcbbbcaaaccbcbcbcaccbbcaaab
+caccbacbaabcc
+bbbbccaabbaabccbcbccccbccacabbcbbccbaaaaccacccabbccaabaacbbaaabc
+abcabacaabbbacbcbababaabccbcbbccaaaabababbbbbacbcaacacbaaacababaccbacaabaabcabccccab
+bcacbcbbacbbbaccbcaabbcbbbcbbcaacaaaacbbcbabacbbacacbcbbccccaccacacbbccbbbcaaacacbabcbabbbc
+bccabaabccccabbccbcbabaccbacacaacbcbaccacabbbbcbaabaabbbcbaacbcabccbcccbcbababcccbbcaaabccbcbbbbaccac
+aabbbbccbaccbacacaccbcaababcbbacb
+accacbbbbbccbabbcaacbacaccbcbbcabcaabbaaa
+bcccacacacaaabbbaaabcacbcaccbcababbcbcbccababbabaabbbbcbbbbbcccbcbacac
+accabbabcccabacaaab
+aaccccbccbbccbcbcccbabaccbc
+acbaaaccbcaacaaccbbbcbcbbccccbabbcbcbacbcaccccaacaaccccacaabbaaaacaabccbcbaaabbbbcbbc
+cccacbccaacbbcaaacbcbbacbcbcabbabccabca
+cbcabcaaacababaacabcaaaccabccbcccababcbaacbcbcacaab
+abbbbcabcc
+ccabababbbcbaabbabaaabcbcbb
+aacaabcaccabbccacababcacbbcbbccbaabacbbbaabaacabccbaaabbccacbbabacabcbacbabacabaccabbbbaab
+bbbcacccccbacbba
+cbaabaacacbabcabcaaccbcbbabbacbbbabcacbaabbaabbacaaaacccbccabbbaccab
+ccababcbaccbcccabacbccaccaaaacbaaacacbccbbcbcacbaacbbcacbb
+bccacbbbacababbcbcbcacbaaaacaccbcbbabcbcbaaacccbccaabbabbaacaca
+bcbcaaaacabbcacaccbcacbabcccaacbabcabbaaaccbbccaaacbabcbabacaaab
+bbaaaccccaaccabbbaabbbbacacbccbcbccacbbccbccccbccbcaccaaabaabbbccbccbbacbcaaaacaaacbaabbbaabacca
+baaacacbbabcbbacababbccccacccababbaaccbbcabcbacaaccbccccaccbababaabbabbacaccaaaccbbccbbacc
+cacbbabcbaccbbbababbcacacbccababababbbacca
+cbabcbccacccbbcb
+ccabacabcaaccccacbaabaaaab
+abbcbaabccbbccacb
+acccccbbcccaacbcbbca
+cbcaabaacbbabbcabcaccccaabbbbbaacccbacbcacbababacccbbbbcccacba
+cabbccabaccbccbbbaaabbccbababbcaacccacbccacbaaccbaac
+bcbbacabcbacaabcccbbcbabcccbccbabaaccacbccc
+137 85
+baaabbbbab
+ababbaabbabbaaaaababaabbbabbababbaabababbaaaabaaaabbbabbbbaaaabbbbaaabaabbbbbbbabababbabaabbbbaabb
+bbaabaaabaaaaaaababbbaaaaababba
+baaabaabaabbbaaaaaabaaaabbbababbbbabaaa
+baaabababaabaababaaabaabbaababbabbbaaababaaabbaabaaabaabaabaaaaaabbbbababbaaaaaabbbaabababbbbaaabab
+abaaababaababaabbababbbbbaba
+aaaababbbababaababbabbbbaba
+bbbabbbabbaaabaabaaabaaaaba
+bbabaaaaaabaabbabababababbbaabababbbabbbaaaaaabaaababbbaabbabbbabaabbaaabbbbbbabbbbbaaabbabab
+bbbabbbabaabbbabaaabbbaabbaabaaababbabbaabaabbabaaabbabbbbaababaabbbaabbbbababaaaaabaababaaabbbabbbababbaa
+bbbaaabaaabbababaabbbbaaaabbaaabbbababbaabb
+babaabbababababbaaaaabbababaaabbaabaaaaaabaaabbaabbaabbaabbababababbabbaaaabaabba
+bbaabbbabaaaaaaaababaabbbaabaaabbabaaababbbabbbbbaaaababbabbbbabbabbbbaabbbbaabaaababaaa
+bbbaabbbaaabbaabbbabaabababaabaaaababaaabbbaaaaabbbabbabababbabbababbababaabaabbbabaabaababbaa
+abbbbaaabababbbababbabbbbbaaabbbbabbabaaabbbaababaaaabbbbabaab
+abaaabababababaabbababbbaabaabababaabbabbbabbbbababbbabbbbaaabbaabbbaabbabababbbaaaabbaa
+aaaabbaaaabbaabaaabbbbabbbbbbbbbaaabbbaabbbbbababaaaaabbabaabbaabbaaaabaabaaaaa
+bbbbbbaabababbabbbbbababbabaaabaabababbbbaaabbabaabbbbaabaabaabaababbbaaaaabaabaaabbababaababaaabababbababab
+baaabbbbababaabbbb
+aabaabbbbbabaaababaabababaaabbbbbabaa
+ababaaaaabbbababbbaaabbbbaaababbabba
+abbabaaababababbbbbbbaaabaabbbbbababaaabaaabbbaabaa
+abbbabbbaaaaaaaaaabbbab
+baaaaaaaababaaaabbbbbaaabaabaababbabababbababbbbabaabaababbabbbaaabbaabbbabbababaabbaabbababbbabaababababaaaa
+bbaabaabaaabbbbabbabaab
+bababababa
+abbbbabbbaabbbbabbabbaabbbaabaabbbbbabaababbaabbaaaaabaabbaaababbbabaabaababbbababaabbbbaabaaabbabbbbb
+abaaabaabbbbabaaaaababbbbababbabbaabbbbbabbabbbababaaaabbbab
+aababbabbbbbaaabbabababbbabaaaaabbaababaabbbbabababababaabbabbaba
+bbabaaabaaaaaaabbaabaaaabbbbbababaabbabbbbbbabbbbbbbabbbbbbabababbbaabbaaaaabb
+aaaaaabbbbbbaabbbabbaaaabbaaaabaababaaabaabbbbbababbbbabbbbababbbbbabaabbbababbbbabbbaaaabbbaabba
+bbabbaaabbbababbabb
+aabaaaaabaaabbbbaabbaababbabbbaabaaabaabaaaaabbbaaabbbaabaabaabaaababbbbbabaaabaaa
+bbaaabbbbabbbabaabbabbabbaaab
+abaaaabaabbabbabbaabbabbbbbbaabaababbabaaababbb
+bbaababababababbbabbabbabbababbaababbaaabaaaaabbaaaaaaabaaaaabbbabbbabbbbabaaaabb
+abaaabababbbbbabbbbabbbbbbabbabbabbbbbaaa
+abbabbbbbbabbabbabbbbbabbaabababbbabbbbaabaababa
+babaabbabaaaabaa
+baaaaababaabbbbaaabbaaaaababaaabbabbbbaabbba
+baabbaabbbbaaabaabbaabaabbaabbaaababbbbbabaabbabaaabbabbbbbbbbbbabaaa
+abbbbabaaaababaabbbaaaaaaabbbabbaaaaaaaaaaaabbaaaaaaabaabbbbbaab
+aababababaabaabaaabaaaabbaabbbbbabbaaabbaaaaabaaabbaaaaaaabbaababbabbbbabbbaabaaabaaabbaab
+abbaabbabbbabaaabaaababaabbaabaaababababbabbbaabba
+aababababbaaababbbbbabbaababaaabaaabbababbbaababababbbbbababbaabbaaabbababaaababa
+aabbaabbababaabbbabababaabbbabbaababbbbab
+bbbaaabaaabbbabbbbaabbbbaabaabaabbaaabbaaaabbabbbabbbbbbbabaaababaabbbaaaababaababbbbabababbbab
+aaaababbaaababbaaaababbbaaabbbbaaaabbbbbabababab
+aaabbbbbbababaabbbaaabbbaaabbabbbaaabbaaaabaaababaababbbbbbabbbbabaabbbbabaabaababbbbbababaaabaaba
+aabbbaaabaaabaaabaabbaaaabaab
+babbaababaabbbaaabab
+babbaabbbbababaaaaabaabbbbbabababbababbabaababbaaabbbabbbb
+abaaababababbbbaaaabbaaabbbbbbabbabbbbbababbababaaababbbaababaaabbbbaabaaab
+bbaaaabbaaabbbbaaaaaaaabaaaabaaaaabaabaaaaabbaabbabbabbbaabbaabbbaaaabababbabbbabbbbbbaaa
+baabbababbaaab
+baaabaabbbbaaabbbbaaaaaabaabbbabababaabaabaaabaaabbabbaabb
+aabbbbbbabaaaaabaaaabbaaabbbaaaaaaabaabaababaababbaaabaabaabaaabaabbabbababaaaabbbbbbbabbabbbbbaaaab
+bbabbaaabbaabbbbabaababbabbabaaaaababb
+ababbabbbbababbbabaabbabbabababaaababbbabaabbbbbbbabbbababaaaaabaaaabbaabbaabaabbbbabaaabaaabbaaaba
+aaabbaabaababaaabaabaabaaaaababaababababbbbabaabbbabbabbabbabbbaaaaaaabaabbbbaaaaabababbaaaababaaaabbbbaaab
+bbbaababbbbbbabbbabbababaa
+bbbaaabaaabbaabbbbaabbabbabbbbbbabbbbabbababaabaaaaabbbbababababababaaabbbaaabbbbaaabbabaa
+abaabaaabbbbaaabbabaabbbaaabaabababaaababbabbbbabbaaaabababaaabbabbbaba
+bbbbaaaabbabaaabababbbabbabaaaaabaaabaababababbbabbaaaabbab
+abbbaaaabaababaababaaaaabbbaaaabaaababaabbababbbbaababbbaaaaabbbbbbbbaaababbababaabbbaba
+bababbabbbabaaaaaaaabababbbababbabaababbababaabbaabbaababbaabbaabbaaaababaaabbbbbbabaaababbabaaaabbaaab
+babbbbababaabbbbaabaaabbaabaaaabaaabaaabbbbaaabbbaaababbbbababbbbabbbabaabaaaaa
+bbaaabbababbaababbbaabbaabbbbaabaaabaababbabbaabaabaaaaabbbab
+baabbbaabbbabababaaabaaabababbabbbbbaabbbaabbbabbabbaababaabaaabbbabaabababbbbaabbaaabaaabababaaaaaab
+ababbaabbaaabbabaabababaaabbbaaaaaabbabaabbbbbaababbaabbaabaababaaaabaa
+aabaaaabaaaaabbbbaaabaabbbabbabbabaabaababbaabbbbababbababbbb
+abaabbbaaaabaaababbaab
+baaabbabbbabaaabababababbaababababbbabbbaaabbbaabababbaabbbabaabbaaaabbaaaaaabab
+abbabbbaaaabbabbbaabababaabbaaaaaaaababaaaaaababbabaabaaabb
+abbbbabababaaaabbbababbbabaaaaabbaabbaabaaaabbbababbaaababaabbbaabababaabaaabaaabababbbbb
+aababababbbbababaaababbaaaaabaaaaabbbbbabaabaabbabbbbaaaaabbbbbabbbaabb
+abbabbbaabbaaaaa
+bbababbabbbababbbbbabbbbbbaaabbaabbabaababbabbbbaababbbabbab
+aaabaabbaababbbba
+aaaaababaabaabaaabbaababababbbbbbabbabbbabba
+bbabbabaaaaaabbbbabbabaabbbaabbaaabbbbaaaaababaabbaabaaabbbbbababbbbbaaaabbbbaaabbbbbbabbbbbaaabbbaaaabbbbaa
+baaaaabababaaababbbbbaabbbbaaabbaabbaabaabababaabbabbaaabaabaabbbbbabbababbbbaabbabaaabaabbbbabbbbbba
+bbaaaaaababbaaaabbabbbabababbabababbabaaaaaaaaaaaabbbbbbbaaaabaabbaaaabaabbbababaabbbaaaaababab
+abaabbbaabbbbbaaaaaaa
+bbaabaabbaabbbbbbaaabbabbaabbbbbbabbbbaabbbabbabaabbabbabbaaababababab
+abaaababbaabbbbbaabbabbaababbaabababbbabbbbbbabbabaabbabababbbababbbbabaaabbabaaabbabaa
+baabaababbaabbabaaaaaabaaabbabbabaabbabbbbbbbabbaabababbababbbbbbaabbabaabaaaaababbaababbabaaabbabbaababa
+bbabbbaabbabbbbabbabbababbbbabaaaababbbaababbbbabbaabbbbbaabaaaaabaabaabbbaababababaaabbaab
+aababbaaabbbbbbbbbaaabaaaaababaabbbbababaaabbbbabbabaabaaabbbabababbaaabbabbaabbbaaabbaba
+ababbaaabbaaaaaababaaabababbbabba
+ababababbbaaabbabaabaaaaabb
+bbbaaaaabaabbaabbbbabbaaaababbbaabbaaaaabababaaabaabaabaaabbaaabbaabababa
+aaaaabbbbbbaaabaaabbaaaabbaabababaabbbbabbbbaaaab
+abaaabbbaaaabaaaaaaabbaabbbabbbbbbabbabbbabababaabbbbabbaaaabaabababab
+babbaababaab
+bbbbaabaaabbbbbaabaaaabbbbabbbbababaabbbbaababbaabbbbbbabaabbbabababbbbbb
+ababbaabbbbbaabbababbababaabbbabaaaaaabbbabaabaabaababaababbababbbbaaaababaabbaabbbbabbaaabab
+baababbabbbbaaaaaaabbbaabbbbbbbbaababababaab
+baabbbbbaaaaabbabbabaabbabbabaabbbbbaaabbabaaabababaaaaaabbaabbaaaaaabaabaaabaaaababbabbbbbaaaaaaaaabbabb
+aabbabbabbaabbaaababbbbababbaaabaabababbbbbabaaaabbababbabaaabababbabaabbaaaaaaabbaaaabaaaabaaaabab
+aabbbaabbabbaaabbbababbaabbaaabaabbaaabbabbbaababbbbaabb
+bbbaaabaaaaaaaaaaaabbbbaaabbaabababbbababbbaaaaaab
+aaaaaabbbaaabaabbbaaabbbbbaaabbbabbabaababbaaaaaaaabbb
+bbbabbbbbababbbaababaaaabbbbbaaabbbbaaaabbab
+bbaabababbabbbbbbbbaaabaaabaaababbbbbbaabbbbaaaaabbbbbbabaabbabaabbbababbabaaababbbbaaaaabaabaaabaaabbaababba
+aaabbaabababbbababbabaaabbaabaaabababbbbbaaababbabbbaabbb
+babbabaaabaababbaaaaabaabababbababaabbaababbababbaabbbbabbbbaaabbabbababbaabbaabb
+ababaaaaaaababbbaaabbaabbaaaabaaaaaababaabababaabbbaabbabbaabbbbabaabbbbbbb
+babaaababbabbbaabbabbbabaabbaaaaaababbbabaabaaaaabbbabaababbabbbabababbaaababaaabbabaaabbaaabbababbbabba
+aaabaaaaaabbababababaaababbaabaaabaababbbaababbbbbbabaabbbaab
+bababaabaaaaaabb
+bbbaabbaabbaabbbabaaabbbbaaabbbbbaaabbaababaabaabbaaabbb
+aabbbbaaabbbababbbaababbaaaaabbbabbabaaaabaaabbaaaaabbabbabbaaababbaabababaaabbabbaabbbaabababbab
+abbaabaaabbaabaaababbaabbbbbabaaabaabaaaaaababaaababababbbabbaaaaabababa
+bbaaaababaabbaaabaaabbabbaaabb
+bbaaabbbabbabbbaaabbabbaababbabbaaababbbbbabbbbaaaabaabaabbbbbbaabababaabbbabbabbaaaabaaaabbabbba
+baababbbaabbbbbabaabaabbaaabbbbabbbabbabaabbbababababababbbaaaaaababbabbbbabbbb
+aaabaababaaabaaaabbaaababbbabaabaaaaabbabababbbbaaaabababbaabbabbaaaaaababbbbaababbbbbbaaabaabbabaaabaaababba
+baaaabbbabbaabbaaabbbbbaaaaaaaaabbaaaabaaaa
+bbaabaababaabaabbbbbbbaaabababbababbabbabbaaaabaabbbaaaaaabbabbbabaaaabbabbbabaabaabbaaabbaaaaaabbbbbaaabb
+aaabaabaaaababaa
+baaababbabbbabbabbbaabbabaaabaaabaaaaabaabbbaababbabbaababbbaabbbbabaababababbabaaa
+aaaababbabbbbbaaabbaaaaaababaababaababbaaaaabbbabaababbaaabaaaaab
+aaabbabaabbabbaabbbaabaaab
+bbbaababaaaaabbbaaaaabbbbaaaabbaabaaabaaabbaaa
+babbbabbaaabab
+aababababaaabbaabababbbbbaabbabbaabbbbababab
+abbbaaabbababbabbababbbbaabbaaba
+bababbabbbaaabbaaaabbaaababbbabbaabbaaabaaabaabbbaaabaabbbbbbabbabaaab
+abaababbbbbaabbababaaabbbbabaabbabbbbba
+abbbaabbbbabbabbabbabbabbbbabbaaabaabaaaabababbbbbbbbbabbaaaaaabbabababbbbaabababaabbbbab
+bbabaabaabaabaabaabaabbababbababaaaababaabbba
+babbaabbbbbaaababaaabaaaabbbaaaaaabbbaabaabaaaaa
+bbbbbbaababbbaaaabaabaaabbaabbabbbaaabbbbbbbaaababaaabaaabbaa
+baaabbbbaaaabbabbaababbababababbbbabaaaababbbbabaabbaabbaaabbababbabbbaabbbabababaabaa
+bbbabbbabbaabbbbbabbbbaabbaaaaabbaaababbbabbabaaaaabaaaabaababbbabababaaabaab
+abbaabbababbbbaabababaabbbbabbabbabaab
+202 95
+abbacbbbbbcabbbbbaacaaaaababbbccaaaababaaabaabaaaacaabbacbcccaba
+aaaaaabbbcaabccaacabababcacbcbbabbbbcabaaabbbaabcaabbbacbbacbbaabbbababbbcacaaaacaaabbbababb
+aaabbacaccaacababbbcbababaabaaaacaaacccaabbaacacacccacabbcbbacacbbccacbbcbccaabbcaacccbbccaaaaaac
+bbcbcaabbabbbacbbbbbbbaaccbaaabcbbccaaaaabccbcacaaacccacbccbabcabbacaaacbbabaaacbacaacacbcbbacccac
+cabaccabbcccaaabbbbabcbacacbbcabbbbaaacbcabababccaabbcbbabcaccccbcaccbcab
+bacbaacbbcabcbaacbccccacbcccbbabcabbccabbccabcaaaaacacaaabacacbccababaababbaacbaab
+abaacacaccbaccabbabaa
+aacaaaabcbcbacbaaccbacacabbaabcacabbababbabbaaccbcabbbaacaccaccaa
+baaabcbbbbabccccaaabccaacbbccacabcbcccbcabcbcbbbbbabbcacaabcccaacbbcaabbccaaaacaa
+cacbcbcbaabbabbcabcbc
+bcaacaababbbaccbaccaababaaccacabacbbcaaaccbcbacbabbaacbbbccbbbbbbabcbbbaaccaaccccbcb
+baaabcccbbacbbabaabbaabccbbbcaaabcccabbbbbaac
+cbbccbcabcccbabaccccacbcbbccccbbbaabbabccbbccbabccabbcaacbabbacaabbaabbcabc
+acacbbacacbcbcababbcabaaaacaaaaabcbbbcb
+abacaaaabcbacccabccabaababacacbaaabacabcaacbbbbccaabbcaabcaaaacbbbabacbaaaaaccaccacbacbaabcccbbcc
+aacaaccabcbbaaaccccbbcacacaccccabcaaababaabccacaabbaacaaabacbaccacbcabacaaccbbaaccbcbaababcbacaaccba
+bbbaaaabcccccbcbabbaacacabaabbcbabcacbbccbbcbbbcccbaccaaacbaaccbcbcccbaccaccccabaabacabcbaabacbbabbbacbccbccb
+caacbcbaacccaacccaaccbaacbcacaaccccacaaaacabbbcbbccabcaccaaacbccbcacbaccaa
+cccbabcbacacbbbbbcbbacbbbaacabbcbccbaacbaabaababcccabcbcccc
+acabcaacbacbaaacbbaccbbaaabacabbbcaacbbbaccbbbbbaaccbbcabaacbcbbb
+babacbbaaaacabbaaabcabbacbaccaacacbcaaababccaabaacabcabbababbcaabbaacbabcbcbcabbaabbcaaaa
+acababbabccacaaabbcbccbcbcabbbcababcbbcbbaabacbaaccaacccbabccacacaacabccbacabacbabccaacaacacbabbccacbaa
+aabcbbcabcbbbbbccbcaccaaaaacabbacabbacabaacbbaababcabacbbbacacbcbcaaaacccacbcaaabba
+baacacaabcbaabbbccccaabbccbabaabcaacabc
+babcaaaccaccaabaacbcaccccabbbccabbcabcabacbccbcccbcccccabbbccaaaacbabacccabbbaabbacbcbcaabbcbbcbaaccbbbabcbaa
+cbabcbcbbacacaaabbcabcbaacbbcabbbbaaaabbbabbbaaaabcbcbabcbbbbacaacbabaaccabcaabccbaaaabaccbbabacbbabbbcab
+abcabacbcabcaacacaabcbbaccaaac
+acaabcbabacaaccbabbbabcacbccbcbbccbcccaccbbaaaaaacabbccaccaacacaaaabcc
+bbabcabcbbcacbcaabbcbcbacbccaaaacacbccabcaccabaaaabbbbabbcbabaabcbaaabbaabacbbabaccbcb
+acabccccaccabcabbbabbc
+bbbabacabbbbccbcbacabccccacbcabaaccbaaabcbbaabacaaa
+bccbccbacaaaaccbbcaacaaaaccaabbacbcbaacbbbcbcbacabcbaacaaaacbcacaacbaacaabacbbcccacbaaaaaacccccaaccbacbcba
+aacbbaccacacbccccaaabcacbcbccaaabacccbcabbcacbcabbccacabccbbacbabbcbacaaaaabaaaba
+ccbbbccacacbbacbbbcbcbbbbcaaaabbabba
+baccbababbccaaacbacbabccacaabbaabaa
+aacacccbbcacbabaaaccccbbccacbcbbcbaabcbc
+cbbaacaabaabaacbccaabacbabaaacabacbcaaabbbaacca
+bbcccbccbbcbabcabcabbbbabaaaabcabbbcaaac
+cbcaaabcacbaabcabaccbbcbbccbcbababaaaabbbaaaaaaccba
+aabaabcaacbcbbbcacbacbccbbccccbbbcbabcacbacacaacaaca
+caaaabcaacccaabcacbbccbbcaaccaccbccbcaabacccbbabbcaccccbbbaabca
+bbcaacbcbbcbcacbccccabbabbaaaababbcbbabccbaaabbbcccbababaabcaacababacbcabbabcbaaaaabc
+acbabcacaccccbcaccaaabccacbccbacbbccbabbabacbbccbacbbbaaacccbac
+cccbaaccbbbbbabaaabbacabcbbbbabbbcbaaabacbbbbbaabcaccccbbcbbcbacbacabccaacccabbbaaacbbcbcbbcaccc
+bbbbcbbcbccbacbcacccaccccbbbacabacaccbaaaacbabbbaacbbaacaccabaaabaabcabbabaccccbabccabaabbba
+ccabccabbabacaabc
+aabacacabbabbbacbcabbabaccaabcaabbbabcaccaaabbccaabcabaccc
+bcaacbababbbccccacaccbacbbcbcccaaaaccbabaacaababacbacbaaaccaacabca
+bccccbabcbbcabacacacccac
+bcabbaacababcbc
+cacbbacccbbbbbaacbbbcbabbabcacbbbbcaaccacabacac
+acbcbaacbaabbbccbcbaabcbabaccabcbaccbccabcbaaabbcbacbb
+aabbccabababaaccbcbcbccacabaacccccabbbabbcbaabcaaacbbca
+acabbccccbcbbacbbcbcacaabbcbcaaaaaacabcbccbbcbabbccaaabacacccaaabaaacabcccbcabccacbcbbbcabbccb
+ccacaabbbacaacbccbccbcbbaaacbacbcbbaab
+abccabcaccbabcbacbbcccabcacacacacbccccbbcaaccacbccaaa
+aaabcabbaccaacabaaccaabccbcbbabacbcccaabcabbabcabbbccabbcccbcbcacacbbaabcbababcabaacbcbac
+caabcbbcbbbaacaacccbabbacaaabaacbcbbaabbababcbcccbbcaaccacbbaaccccaccbcbcaaabcbaaacacbbcabbcbcbacabcaca
+ccbaabaabacbaacaccabbaacbacbcacabcbbccabbbbacbabaccbabbcbbbcbbbbabbaabbaabbbcababbcbccbacbc
+aacbcbccbcabbcacccacabaccaccbbacbaaabacbbbaaccbc
+cccaaabbbcbcbcbaaacccccaccacccccaabbbbaaaaacba
+aaaababcbabcbaaccbababbcacaabbabbccbbacaaabcbccbbcbcacbcacbbbabbaaccaccbcccbcabcacbaacb
+aaacbbacacabbccacbbaaccbbbcbcbbbaaaacacccbbaaaccbbcbbccbbcacc
+bbbacbcbcabcacbabbccbaacabbaccbbcbabcacbbaabbaabababcaaccbbaacacbababbbbcbabcbaaacbca
+aabaccbaacacabcbbbaccaccaaacccbabcaacbbcccaacbccbaabcbbaccbabcbaaccccbcbacbaacaacbcbbccbccbbcbccbaca
+baacaaccaaacaacaccabbbcccbaccccccbccbabacbacaaaaabcaa
+baaaaacccaabcabccaaababbbacacaaaacbbcabacabbaacbbbbaaabaaaccaccaacbcbacaaacaacacbbbaacabcbabcbcabbcbcbaaca
+accbaacccacbbbabbcbcbaaccbbccaabbcabbcabccabbcabacccccbbbbaccccbbbababbbabbcb
+acbccacbcbccbbaacccacbbabaabcbcbcacaacaacccccbcbbaabaacbcaacacbcc
+acbcbccabbaabbacbbcbabaabbaabaccacacacaccbacbc
+acacabcaacbbaababacacacbbccccbccacccbbcccbacacaabbaacabccaa
+ccbbabcbcabccabbabbbabcacbbc
+ccabccacbbbcccacaabacacbcbccabacccccbbbbacacaaaaaaac
+aaaabcaaccbcbaaabaab
+abbabbcaccaacacbacaabcacbbcccacaabcbbaccccacbaccaa
+ccbaaaabbcabbabaacbaaacaccbc
+bbbbcccacbbcbbccbccccbbcabaabaabcccbb
+bbaabbcabbaabacaacabcaababcabcbbcacac
+abcabbbacbacbaacbacccbaccccaabaaaaacbcccabcaaccbaaaaacab
+cbbcbcacaccccabcaccbcbaccbbbbcabbcacbaaccaabaaccccaaabbccbbbacaaaabccab
+abaccbbbccbabaaaaccbcbbbbbaabbcbaaacccbcacbbabaccbabacbaacaabbaccaaaaccbcacbbbacbcbacacccbbccaac
+caabcbabbbcaaabccbcccccabcccbabccbcaabaaabaccabaccbccbbcbbaccbcaacabacbcccaabbbcccaaccabbccccbcabbaa
+caacbcccbcccbaacccabcbababcaccbacaacaacaaaaccabbcbbabbccaaba
+abaccabbccaacbbcbbbbbbcbcbcabaaacaabaabbcbbaabbaacaaabababbcabcaaabbaacbccacbcabbcb
+baccabbcabbbbaababbabccbbcbcbacbbbaaccbbcabaacbcc
+aacbabcabbccaacbacabaabcccbacbabbbabaaacbcaaaaababacababbacbacaccbabbacabcbccbbcccabbabaaccbaabbcbbbacb
+bcaacccccaaaacabaaacacbcbbacabcccaa
+abacbaccbccbccaaacbbababbbabccbcabbcbcabaacccbacccabbccaabaabcaccaabcbccbabacaaaaa
+baaccbacabbbbabcaccbaccbbcbabacacaaccaabbacbaaaccccacbbabaccabbb
+cacbbcbbcaccc
+bacccabbccbbbbabccbcccbaabacaacbababacbbccbbbaababacacccabbbaabacccaacbcbcbcbcacaccabbcacbaaaaaabccaba
+cbbaccbbbacbbbcbcaccbcacbaccbabbaacacbaccbccacc
+baccacabbbbaaacbcbacabccaacbccbcabaccaccccacbcabbbccbca
+babcacccaaccbbabccbbbaccbcaaacbcacbbacccbcaabababbcccbbccabacabaabbcbcbabaaababbccccaaaabcccabcaaacbcaccbab
+bbcabcbabbbbbcbbabacbbbbb
+cbacbcbacbbbccbcabcacccaacabaaabcbacbccaaabaabbbacaccbaacbcccbbacbacbbcbcccbcbbbbbbbaabaabbcaabbaccb
+cabacaaccccbbaaacaccacbabcacacbcbbccabcbbbbcbbccacccabbbaaccbbbacbbbcacbaaabbaaaabacabcccaaa
+bcbbabacbabcccbcabcabbabcaaaaaaacacccaabcbaaacacabaaaccbaacbbbaaccbcbabcbaaaacbcacabc
+cbbbccacbbaacabbaccacbaccbcbcbaccaccccaccbabcbbbab
+accacccbbbbcccabacbcbbbcbccabbccbcb
+cbbababbbcaccacbbcaabacacbacbbccbcbcaacacbbacccbaacaacbaaabaacacaaaccabacbcbccbaabbabcac
+bbccbbabaaaccacbcbccaacaacacb
+ccbacbaabacbabbbabcbcabbccccacaaaacaacccccccabaccbacbccbabbabbccbbbba
+abccacaabbaacbacbbcbccacbacbcabbaacbcaaaabbccbbaacaaaaabababbbbaccca
+cacaaabbabccbcbcbcbcacbbcabbcbbaacaaba
+bacaacbacbabbccbcbabbcbcacbababbccababa
+abababcbbbbbcbcabaacacbcbacbabcbbcabbcbccabbbccbccbbccabccacabccbbaabcabcccbbbaaabcacbccbacbcabbacbcccbcabc
+bbacaacaacbbaacbbbcaacacbcbcacaacaaacbbabaacbaccabbbbccaaacaca
+cbbcccbaccacbbacbbccacaabcbaaacbbabaacbcbbccbcacccacbbaccbaabbbbabcbbcaccbaacc
+bbcaccaccb
+babcacacababcbccbbacaacabcbacbaacaabcbbbbbbcbababcacbaabccbbabcabcbbcbaaaabccaaababba
+caacbbcbaccccbbcbbcbbbaaaaaccaaacacabcaccba
+bbccbbbabacbaaabcabbaacaabccbccccbababaaccbcbbacaacbccbbbcbccbaaaaca
+abaacacbbabacbaabccbaccbcaacccbabccbabbbcbcbcabcabbbbbabcccacbbcaababcbba
+bbbbacabacaaaaaaabbcbcaccacabbaacaa
+ccabaababaabcaaaaccaabbbbbbaaaabcabcacbcbcaaacbcccabacb
+bbaccacabcaabccabbbaccbbb
+cbacbcbcababbbaccbbbabacbbbabbbacc
+accbbbcabacccccbcbcabacaaccbcbbbcbbbccabbbaacabbabcbcbacabcccbaacbabbbabccccaaacbcab
+acbbcbbabcabaaaacabbccbabbbcbccccabaacaccbcacbaccccbbccbbbaaccbaccbacccabaa
+bccaabbbabbcaacaabbccaabcccabcbabaacbaabcbbbab
+baccbcaacaabacababbcaacccbbbaabccaabcccabbcbacbaaccacaabcababcbaacaccbcbacccabcaacbcaaacbcbc
+ccababccbabcbcccccaaabaacaaacacacabcbbbbccbbacbaaacbbbccbbccacbccbbacaccacbbcbaabbbabbcbcbbaaaba
+bcaacbccbcacacbbabcbbbaca
+bbbabababcbaaacccbaababccabbabaccaabacccbccbccbbacaca
+cbbbabcabccacbabbcbbbbcab
+ccabbcaacbbcabcbbcaaabbbacacbcbbbbcbbb
+abacacbaacbaaabbaabaacaccababab
+aabbaacbcbacbbccbbabcbaaabbcccaabcbacaabbbcbbababacbcbcbccb
+bbcccbcbaaabcbbabaabbbbbaaaaaacaacbbcaccbaccbbabbbcaabaccaaaaabbaccbab
+caaaaabccccbabaaaaccccbcbcbbbbbacbbababbabcbcbabacccbacbacc
+cabbccbbcabababaacccabcbccacbaababbacaabbbbcbabacccaaccbcabbacbbbb
+bbcabbbbacbbbaccaabacccababacc
+acbbabcaaaaacccccccabbbbcbcbbabbcbbacabcbbbaabcbbbbcaaccacaababbcaacaabcaabbbbaabccbababaabacccacaccc
+cacaabcbbbaabaccbc
+cbababaaaaaccaacabbaacbabcc
+baccabbbcaabcbaabaccaaccaacabbaabba
+aabcaccbccbabcbabbccbccaabacaabcbcacbcbbcbccbbcbaacbbacabaabcbcccbcaababaacccacccbababbcabbbacbcabccaaacaac
+ccbcaabbbb
+acbbccbcbbcbacbcbbbcccacbacbcbacaccbbbcbacbbcbcbbacccabcbcaabacbaaccbac
+cabcaacaaabccccabbaacabccbccccccbbcaaabcaabbcabaaccacaacabccbcacabaacaacbab
+cbcbcbccbaaccbbcacbccaaaaabcbbccacaccbcaccabccabaabbcaacaaaccacbcaacbc
+bacccabbbccbbbcbccccbcabbaaabcbcbccabbaabaaccbbc
+ccbaabbcccbabaaaabbbcbaccacbaaaaaabaacacacacaa
+bbacbbbaacacacacbbcbabbbacbcc
+bbbccabcccbcccbabbcacbcccbabccaaccbcbbcaaabbbabcccacbaacacc
+cccbcbaabcaacaaacacbaaacbcbbbbcccaccbbabbbbcbabacbcbabbabbcccccbcaccaaacacccccbccbcaacaaabbcbbabccacccbca
+cccaaacaacbbbcbbaaccbbcccaabcccaaabbbaabb
+aacbcccbbcababcbababcbbccbcabaaaaacbabccccbaabccaacbaccaacaabcabbbbaaccabaccbbbbbcabbaacbbcbabbabbab
+cabaccacbbaacabcabacccaccccacabcbcbcbabccbaabaccabccccacacacbababaacaababbcbacabccb
+abbabbbabaacbbcabababcccabbccaabaccabccbbbcbccabbcbaaaccaacbbcbbaabcccaabbabccacabaaacbc
+cacaabbcbcbcbaaacbaacaccaabbcabaabccccbbcabbabacbcabcbaaabbbccaaabcba
+cababbbbacabccaacababcbaabbababcabaababcacaacccaccb
+ccbabbabbaaabbaaccacaacbaaabbbcbbcccbbabbccacccacaaacbbbbccaaa
+aabbaaabcccccaaaaccc
+acccaababbcbabbccacaabccabacbbcccaaabacabbaacbaccbccacabbbbbccac
+bbbbbacabc
+bccabccbbbccccaacaccccbababccccbbababacbcaacbabbbcbbaaaacabbbcacabcacbca
+acbbacaccbaacaabacbaccabcaaccabccaaaccbbcccbccabaabacccccbbbccababcabaaaaaaaacbaaaaabbacacbbbbccca
+bcbabccbbbabbbbaccabbcbcaacbbbcbabbbabcbbccabcaaaabacaaaacc
+ccbbccabcbaacacacabbbbacbcabbabaaabcbbaaabccbaaaabcabcbbcbcacbccbacbccbcccbaaccababccbccccacbcaababcacccba
+aaaaabbacaccbcbbacbbbbacacabcacaababcbaabcbbcaaacacccbbaccbacbaccbbaabbbbcababcabcbaaabbabbacacabaacacbb
+caaaccacaacccaababcbcbaaacabcbcccccccaccbabbabbbcbbbaccbccabccbabcbbccaabbabbcaaccc
+cbbccbccbacccbbbbbbbcbab
+bccbaaaccbbbcbcbcacabccacabbbbcaacacacbaaccca
+bcbbacbcabbccaabaaabcbacabcabbccaabbccacbcaacabccbbbbcabbcbbbbbcccabcccacccaacbcccbccc
+bbbbbacbacaabccbcabcbabbbabcbacaaabaacbcbabbccaccbcabbccacaccccbacbcababacacaabc
+bcacbaaacccbabccbaacacbcacbaaaaccacbba
+cacacaaacbbcbbbbacccacaaac
+cccbbcabcccbacccbaaccbcabcabbbbacaabbbcaaacbaccaabbcbabcaacccabacabacacaacca
+baccbcbbcaacaabcbbabbcbabaacabbabacbcbbcabbcbabbbcccbccaabcaabbbbaacccbcababcacccabacbaabcaaabcbbbaabacc
+cbbbacaaabacacbcbacabbaacbcbcbaacbacbaacbcaacbaacacbabbbaccaaacabccacccbaabc
+bbcbacccccacacacbbaaabbcbcbacababbccbabaccaacaaccbbcaccccbabbcbcbcaacababccaccaccbbabaa
+cbbbccabababccccbbaaccccbabbbbbbabcababcbcbcbacbcbaaccabbbccbcccbbbbbbcaaaabccabcbaacaababaaaacaabcbcaaacbbb
+cbcacccabacaaaccaaccbcccaacababbababbcabbbbcbbbbabbcbbcbbbbbccacabacbccaacbbbca
+aaaaacabccccccacbcbbccbcacaaabbbbcbacbccaabbacacabcbabcaaccbbaacaccabacaccbaabcbba
+acbbbbbaaccbcbbcbbbbbbabcaacbbaaaccbcacacabccaacaabbbaaca
+ccbacaaccbbcabcbbbaaabaccacabcaabcbcabccbbabcccbccbaabccbcccbaaacbbaaaacbacab
+caaccbccaabbaaabbacbabbaabcaaacccbacaabcccbaabcbccccabbbabccbaacbbaabcaaaaacabaacbcbcccbbcb
+bbbabcccbb
+abccbccbbccbaccbccbbabaacbaabbabbbccbcabaabcacbbcbabaccbbbbbcbcbabaabbaabcccaccaabcabcccbbabab
+abbaaacbccabacaaaacccbccbcaccaabbabbabaccbaccbbabbaababcccabaabcbabcacabccbabaababaacbbacbb
+cbbcabbcabcabacbcbbccabbcbbcabbabb
+bbcbbaabbbbabaacbcaaccbcbcaababcca
+ccacbbabbbcbccabccabbcaccaaccbaababbbcacaabcbcaabbcbbbcaba
+aaabacabcaabcbabbbaabbbbcacbcabcabaccccbbaabbbbbcbbbbabccabccbbbbbcbcacbbacccbcbaaabbabbabcaababbbb
+ccacbacccabbacbbabccbaabbccbcacacbcabcaababa
+bbcaabbbbbcaabaabbabbbaacabbcbbaaabbcabbacbacbbcbacabbccaabccccc
+acbabacbabcaaaaccacbbbbcbccbbaabbaacabbbabaaabbcaaccccabbaabcc
+ccaacbbbbaccacbbaaabbbccaaaabcccabccbbaaaaabbbbaaacabcacbbbcbccca
+abbbaaabcbaaaaa
+bacbbcaabaababcccccabbcccbcabacabbabcabbacbabbcaabacba
+acaaacbcbacaccccaaccacbcaabcabbcbabca
+abacbacacaabbaacaaabcccacbcbccaacbb
+cbaabaacaacacbacccca
+acbbbcacbbbccacaccbabbbcccccabccbacabccaccaabbbaabaabcacccbacaaabaaacaaababa
+bbaaaaabccacbaabacacabccbaccaaacca
+cbcbabacbcabacbcbcaccaacbbcacccbc
+aabacbccacbabcb
+bbccbaccacbccccccbaccaccbbbbcabaaabbbcbbccbbabbaaccccbcabaacaaaccaccbbcbbcccababcaaaba
+bbcaccbbcaaaabbababcaabbacaaabcaaaccacbabcbccbbcccbaabaaabbbccba
+abccababbcccbaababaabccaabacccccbcacaaaaabcbbbcaabbcbbbcccbaacaabbcaabcaacccbbaaaccbabb
+110 49
+abacccacccbcabcbacaaabbcbbccababbabcaaccbaaabaccaabcccabaaabbbabaabbabccabcacbbbccccabbbbcbcccccaabaacbbb
+cbabaaaababbbcbbaccabaacbbbabbbcbbcaccbaccaacaabbcacaabaaabbabbaccabcaccabbbcbccb
+bbccaabcacbbaccbbbccbabcbbbcbababbabaaacbbbcacbabcaacabbbbbbabbcacaacacccaababccabaaccacbaccccacaba
+acbaacacccbbabbbbbccbbaabccabaacbacabbbbbcaacbccbaccaccbbbcbbbacbbcccacbcabaabbbbcca
+cbcaacacbbcbabbccaababbacbbbccabcbbcabaabaccacbccaacbccababcabccbccabcbac
+bbabacaccbabaaaaacaacabcacbacabaccbbabccabcccaaacbccbbacbcaaaaaaacacbcbccacacbccabccbaabbababababbb
+aacbaaaaacbbbcbaccacbaacbbaaabbacaccccbabaabbccacacaabccaabcacabc
+cbaccabbaaaccabaaaaa
+accbcaaacb
+caacbccccac
+abbbcbaaabacaabacbaabbcbaababcbbbcacccbcacabcacbaabbcaabcaa
+cbcacbaabbccb
+cacbaacbcbcbabcbccababbaababaabcaacbbcabbabcbbaccbabbaaccbaacbcacbbacaaabbbccaaaccacccccacababb
+ccbcaccabaa
+acaabacaaccabcaabbbbabbaabaabaccbaccabaaacbaaccbbaacccabcaaacaccccaacbcbacbb
+bccbaaaabcababbbaabbbcbcaacabcaabacbcbacbbbcccbbccbbaccbcccacccbcaaaccbbbacbccbaacacbbacbabbacabccaacabcba
+caaabbbbcbaaaccacbcccbbcaacbbbbbaaccbccaaaabbabacc
+bcbaccacbaccb
+aaacaabacccacbabaaabbbbcacabcbbccbccaccbbabaac
+aabaabcaaaacbaacccacacccbbaccabcbcaaccbbbbacacbbaacbabccbbacbc
+aabbcaabcb
+cbcccbcbabccbccbcaaaaccbaabbcccbbcccacbbacbbbcbcaaccbbcabbbbabbbacbbaabbaaaacbcabcaaaacacacbbbcb
+cabcaabcccbaabaccbacbbbbb
+bcabcbaccaa
+acabbacacbcbbcbcbcabcabaccbcbccababaacacccccaacabaaabcbbaabbccabbcaacbababbccccbabcabcac
+caabbbbabbcaaa
+baacbcccbcaacbcacacacaaacbcbcacbbcaacbcaaacacbaccbbacccaacaabbcab
+cbbcbbcbbaabcaccaaaabbccccaacccbbacaaabbbbbbaacaacababacaccacacbbbaabccaccbaa
+ccaaaabccaacbbbacbcbbccaccbbbb
+bcccaacbbaccabcbccacacabbabcbbbaabababbbabaabbccacbaaabbcaccaabacbaabacbcbbaaa
+caaaaacbbacabbcbcaaaabccbbccaabbaccabcaabcabccacbaabbaabaacbaaacaabccccbabbcaccbbaabac
+accacacacbbbbabbcbcacbaababaacaccbbacbaabcbcacbccbc
+acbabccabacaaaabbccaaccacbbbbcabbbacbbbcbacccbbacbaacaaacabbccacccabcccaacabbbbbcabcbababcbbabbacabbaa
+ccccbbbcaacbbbaaccabcaacaaaaccbaccbbabccbaaccbaaabccaabacacbbbbabcabbaaaaaacbcaabaacccbabcaacaa
+baaccbcccaaaaaabcabcccaacbaccaaaccbabcaa
+baaacbacabacccabaacbbbbbaccacbaccccabccaaabcbccbaaaacbcbbbbbbcbcbabacbacaabbbcc
+aabcbaabbbacacaccacacabbbccbababacabacabbacbbacbbbaacbabbbaabcabcccbaccaca
+ccccbbbbbabcacccbbbaabbaabccbabaabbccacaaccbbcacccbbacccbcccbcc
+bbcbcaaabbaabababaa
+cbabbaaaacbacaccccbbababccacabaccaaacbbccaaacacbaccabcbcccaacc
+caacabbbcbbbcbbbabcaaaaba
+bbbbbabcbcbbab
+aaababbbbacbbacbccbaacabbabbbaccccababcbabababaabbbaacbaccbccbbcbbcaacaaaccabbca
+bcaabacbccccbabbbcbabaabbbcaabbbbbacabccccaaabacccbccbabbbcbabbccacbabcbacbcbaacabbabcababcc
+aacabccbbbcacbaaababacbccbacccacbbcccbbbcbaa
+abcbcabacabaacbcaccbbabaabbcacbabcbcbcacbccccccbbbbbababbbacbaabaaccbbabbabababbbacccbaaaccbccc
+cbacacacbbacbcbbbcabcaaabbccbacbbbaaabbabaabccacbaabacbaababccabaacbabbacabccaccabbacacabcba
+cabcabcaccccabaa
+bbbcaaabcaacabcccc
+baaacbcbbbabbcccbcbaccbab
+abcabccabbcccbaabbabcabbaaaabbbbaaccaa
+accccacbcbcbccaabbbabbbbabbbcbbaccccbcbaaaabaabbcabcabbcbbccabcbcaabcccbbaa
+aaccabacacbaababbbcabbccbabaccbbcccbabacaccccbcabaabcabaccbbababb
+bacbaacaaccbbccbcbbbbabaa
+bbabaccbbbbabcabcbcacaabcbacaccbaccbcb
+baacccaabccbb
+cacbbcbbaaacaaaaccbcabcbbcacbccaccacababcacccc
+bacbaabcaccbcccbababbabaaccacaacabbbababcba
+ccbbaacaaacaaabaaababcbabbcbcbabbbcbaacbabbcabcabacaacbbbcbacacbaaccaacaaccabbcbaaaac
+baabcbaaabacbabacccaabcbabcccaabccaacbaabacaaabcaaabacaabaaccabbaacaacabbaababcaabaccbabccbbbccbbcc
+baaabaabcbaacaccbbabccbcacbabcbabacbbaccabbacccbccbbaacc
+aaaacababccbbccbcbccbcbbbccabacbbcbacbbcabaccaccaccbbcaabaaaaccccaacbabcaaca
+acbaaccacccbbcbbabccaacabccbacba
+ccaccbacaabbacbbbccab
+aaabcacbbbababbcccccabbaabcabaacaabbb
+baaabcbcbcaacabcaacabbbabccabaaaaaccabbabaccabccccbcbaacaabaaaccacabbcbaacacaacaccabcbaacacaaccccbaabaaaabbab
+cabccbacacbbacbbabbbbbbacaccaabccabbaaaaacccbcccaacaca
+caabacababbbbcbbcabacccbbabaaabbabcccaacbbcbabcbcababacbabaccaababbcbabcabcacbac
+cbabbccbacbbaaabaacbacaac
+ccbcbcabcbcccbbbbaabbbcaab
+acacccbbabbbbaaabaaabacbcbccabbccabbacabbbbcaccaccbabbbaaaababcbbaaacccbbbbb
+baabbbabbaccccbcbcbcaaaabcbaabbbabacacaacaa
+bbaaaaccacaaabaccaaaccaabcbababcbcabbbbabbaaacacccaaacbcaa
+cabbabbccacacaabccababcbaaaabbcaaabacbcbccabacbbccccaacabcbbbabcabbcabaacabbaabccabbbc
+cacabbbaabbbcacacacabaaacccbbcaabaaabacaccccbbbabbacaccaacabaaaaccccabbcccbaaaaaab
+baabacacbbabaccabbccbcbca
+aabacbbbcaabaababbacbaabcabbcaaccabacacbccc
+abababbcabbcbaacbcabcbcbccbbcaacacabaabbbaccacaaabaabbabaaacbabbbbbababcbbaabcababbcccaabcaabcaccbba
+baccaaaacbabababbbcbababbbabcaccb
+baccabcaccbababbcbbbbcabaababbcacccaabaccabaaabaaabbccba
+cccbacacbbabacaaaccabbbbbcbaababaaacabcbbabcaacbcbabbbac
+acbcaabaababcabcbabababbcbaacaacacbccaababccaaacbabaaacaaacacbbbbcccacaccccaaaabccaabbabaaccaa
+aaccabcabbbbcaaacb
+bccabaaacccacaacacbbbca
+bbabcbaccabcaaacacabbbaaaccabbcacbccccbbbbccbabbbcaabacabbbbacaaaabccbbacacabcbcaaaacaaacacbbbca
+ccaaacbcabacacbcaaacaaaaabacaaccabccaabbbaabbaacaabbcaaccacacbcaccbabcaacbababaaaac
+aaccaabcbbb
+bacbcbbcbbacabccbbbbcaccaabaccbbbacaaabacacacabccacaacacacabbc
+acabbacbbacbaababbccacccccacbbabaaabbaccbabcacbcaccccbbcccbb
+abbcacbacccbcbcbbacabcccacaabcbababaabcbbbaacbaacbaccaaabcbacaabbabcaccaaccbbabba
+abcacacaaaaacbaabbcaabcbccbcbbabcca
+cbbaababccaacccbababa
+bcacacbaaccabccaccacbacacccaacccbcbbcbaaacabbacbcabbbcacaa
+acaaccabaccacabbbcbbc
+bcbccccbcbabcacbbbabcabcabccbccbbaaacccbcbccbbccbacaccacccbccccaabbcabcaabaaabcabaccbcbcac
+bcbabacccaaabbccabbacaabbbccbaccbccabcbbccccbcabbccccaaabab
+abccbacaacbaaaacbcb
+cbbcabcbccaabbababacacbcccbbcabbbcbcababcccabccabcacbaccc
+bbbbaaccabbbcaaacbaaacabbbcccbcbcacaccaaaaababaaaacbbcbaccbbab
+cccaababbabaacaaccaacbacbbbacbcbababbbbcaccbcbbabacacbccbcbbbbaacbcbcbbccaabcababcbacbacaabbaaacbbbbbaac
+accabbcaacbabbbcabbbabbcbbaacbbbabaabcbccaa
+abccbabccccaaaa
+bcbacbababbbcbaaacbcbaccaabcabcbabaabbcccacabacacbacacbcb
+acbcaaacabcbcababbcccccbbbccabcbbaaccacbbacaaacbccacabcacbcaaacbcbbaccbcbbabbbcbcbbacbbaaaaccabcbbab
+cbcaacbaaccaaccabcababbbcbaacaabccacbbaaccaacaaabcbcabbcacaabbccbccaccabcbcaa
+aaccaabcccabbacaca
+bccaaaaacaababcaabacabbaccaabcbabaccabcaacbccc
+bbcbabaabbabbccacbaacacbacbaacacccabcabbbacacabbbabbbabaaccacacacccbaabccb
+bacaacabaabbbcbcaccbcbaaabcaaabaabaaacacacbbaccaacaaaacbcaacaabcccaacc
+babcbacacbaabaacbcacabaccaaabbabbbbbcbcbaabaacbcaaacbacccabbbbaacccbacbcabbaaacbbaaabacaabb
+275 11
+bbbbbbaaabaabbbbbabbbbaabaabbaaaaaabaaabbaaaabbbaabbabaabbabbabaabbbaaaabbaaaabbbbabaaaabbbbbbaabbbbbab
+babaababbbbaaaaaabbbbaaabaaaaabbbbbbbbaaaaaaaaabababaababaaabbbb
+abbbabaabbabbaaabaaababbabababbabababababbbabbbbbaaaabab
+aabbbabbaaabbabaabbaaaabbaabaababababbbabaabababbbababaabbabaabbbbabbaabaaaaaabbabab
+aabbabbabaabbaaaabababaaabaaa
+aaabaabbbbababbaabaaaaaabababbaabbaabaabbbba
+aabaaabaabbbabbbababbabbbbbababaababbbbbbabaaababbaabaaaaa
+babbaaabbbbbbaabaababbbabbbbabaabaa
+abbababababaabababbababbabbbabaabbba
+babbabbaaabaabbbaaababbaaaabbbbaabaaaaaba
+abbaaaabbabaababaaaaabbabaaabbbaaabaaabbabbbaaaabbababbabbbbbaababaaabaaabbaaabbaabbbaabbbaaababbabaabaaaab
+aabaaabaabbbaabbabaabababaababaaaaaabbbabbbabbaaaaaaabaabbaaba
+abbaabbbaabbbbaaaaaaababaabababbbabaababbaababaaab
+babaabaababbbbabbaaabaabaaababbaaabbbabbaabababab
+babbbaababaabbbbabbaabbabbaaaababbabbaaaabaa
+aababbbaabbaaaabbbbbbabaabababaabbbaaaaaabbbbbaabaaabbbbaabbbbaba
+bbababababbbbaaabbababbbbabbaabbabaaabaabbabbbaabbbaaaabbbabbbaabbbaabaaabbbaabaaaaaabb
+abbbabababaaabbaaabbbbbaababaababaabbbababaaaaabbabbbbbbaabaabbbbbabaaaababbaaaabba
+baabbaabbbbbbbababbaaaabbaababbbaabbbbbababaaabaaababbaa
+babaaabaaaaaaaaabaaaabaabbbabbabbaaaababaabbaaaabaabbaababba
+ababaaabaaaabaabbbb
+abbaabababaaaabaabaaabbbbbbbaabbbbaaaabbabbababbbabbbbbaabbabbaaabbabaaabbbaaababaaaa
+bbaaabaaababaabbaaabbaabaabbbbbbabbbaa
+baababbbbbbaaabbababbbaaabbaababaaaabbbbbaabbaabababaaabbbbabbbbbabbbbaaabbababababbaabbabbbaabaaaabaabab
+aaaabaabaabbbbbbaaaabaaabbaabbbbabbbbabaaaabaaabaaaabaaababbaababbaa
+bbaaaaaaaaabbababbbbaabbaaabbbabababbababaabbbabbbaaababaabaaabaababababbaabaabbbbba
+abababbaaabaababbaaaaaaaa
+bbbbbaaabbbaaaababaaabbbabaaaaabbababbbbbaaabbabbabaabbabaaab
+bababbbaabbbbabbbabb
+babaaaababbabbbbaaababbbbbabbaabbabababbbaababbbbaababbbbbaabbaababbbaabaaabbb
+baaaabbaaabababaaabbababbabbbbbabbab
+babbbbaaaaabbabbbabbbbaaaaabbaaabababbabbabaaabbaabbbabaaaaaaabababbaaab
+bbaabaabbbabbbabbaaababaabaaaaaaababaabbabbaabbbbbaaababaa
+baabbabbababaabbba
+abaabbbbbabbbbabaaabbaa
+bbabbbabbbbaabbbbbaabaababaababaabbbaababba
+bbbabbbabaababbbbbbaabaaaabbbabbbaabaaaabababaabaabababbabaaababaabaabbbaaaabaaababba
+bbabaaabaabbaaaaabaabbabbbbabababbababaaababaabbabababbbabbaabaa
+aaabaaaabaabbaababbabbaabbabb
+baaaabaaabbbaaaabbaaaababaaabbabbbbabaabbababbbaabaababaaabbabababbbb
+bbbbbbabaaaababbbaabbbbaabababbabababababa
+bbabbabbbbbababaaabaababbaaabbaaaaabaabbabbaaaabbbabbbababbaba
+aabaabbbaaaabbbbbbbbaaaababaa
+bbbbabbabbbbabaabbabbabbbbaaaabbaaabbbababbaaaaa
+bbababbaaaabaabaabbba
+aaababbbbbabbabbbabbaababbbaababbaabaababababbbbaaaaaabababbabababbbbbaabbabaabbabbbbbabaabaaabaaa
+aabbbaaabaaaaaaabbbaaaabbaaaaaabbbbabababbbaaabababaabaaaabababbaabababbaa
+bababbbabaaababbbaaaaababbbbbbaabaaabaaaabbbababaabbbababaabbabaaaabbbbaabbaabaaab
+aabbabababaabababbbbbbbbbbbbbaabbabaabaaaab
+baaaaaaaaaa
+abbaaabbaaabbabbaa
+bbbaaaabaabbabbaaaaabbbbabba
+babbabbbbbbbabababaaabbbaaaabababaaa
+abbbbabbababaabbabaaabbaabbbabbaaaaaaabaabbabbaaabaaabaa
+bbaabbaabbababaaabababaaabaabababbabbaaaaaaa
+bbbabaaabaaaaababbbbbaaababbaaaaaababbbabaaabaaabbabb
+baaabbabbabaababbbbbabba
+baaaabaabb
+bbabbaaabbaabb
+abbaabaabbabbbabbbaaaabaaaabbbabbbbaabbbaba
+baaaaaabaabbabbabaabaabbbbbbaabaababbaabbaababbbabaabbaababbbbbaabababb
+bbbababbbbbabaaaaaababaaaabababaaabbabbbbbaababaabbbaabbabbbbbbababbabbbabaabaababababbbbabbaaaaa
+babbababbaaabaabbbbbbbabababbabbbaaaabaaaababbaaaabaabbbabbbbbaaababbaaababababbbbbbbbbbbaaaaababbbbaabbbab
+baaaaaaabbbbbabaabbbbbbbabbaabbaabbbaababbbbaaa
+babbabbaabbaabbabababbabbabbbbabbababbabaababaaaaababaabbbbbaabbabbbbbbbaababaaabbbabbaaaabb
+baaaaaaababbaaabaaaaabbaabbabbbabbaaaababaababbbabbbbbb
+baaaabaababaabababaabbaaabbaabaabbbabababaaababbbaaabbbabbabbaaaaaaab
+aababaabbaabaaaaabaaabbaabaaaaabbabbaaaabababbaabbabaabaaabbbbaaabbbaaabababbbabbaaababbaaababaabaa
+abaaabaaaabbabaaaaabaaaabaaababbbbaaabbaababbbbbbbbbabaaabbbb
+abbbbabbbb
+babbaaaabababbbbbaabbbaabbaabaabbbbbbbbaaabbbbabbb
+bbabbbbabbbaabbababababaabbbbbbaabaaabbabaabbaababababbaaababbbbababbabababaaaabbaababbbbbaaabaabaaaaba
+bbabbaaaabbaaabababaabbabbbabababaababbabaa
+aababaaabababababaababbabbbbbabaaaaabbaaabbbaabababaaabbababaababbabaabaaababbaaabaabbb
+baabaabaabababbaabbaaaaaaaabbbbabaaaaaaaabbaabbbabb
+abbbaaabbbabbbbabbaaabaabbabbababbaababaabbaababbaaaaabaaaaabaaaabbababbbaa
+bbbbbababaababbbbbabaaaaaaabababbabaabbabbbbbbaabbababbbaaaabbabaaabaab
+bbbbbbbbaaabaaabaabbaabbbbbbaabaabbaaaabaabaaabbbaabbabaabaabaabbaabbbbbbbbaaaaabbbabbaaaaabbaaabbbbabba
+aababaaaaabbaaababbbabaabababbaaaaaabbaabbaaabbbbabaaabbbbbbbbaaaabbabbaabbabaabbbbbabaaaa
+aababaabbbabaaabbbbaaabbabbbbbaababbaba
+aabaababaaabbbbabaabaaaaa
+baabaabababbaabaabaabaaababaaaabababbaabbaaaabbaabbbbabababbbb
+bbbbabbaaa
+baabbabbbbaaa
+bbaabbbbbabaaabaabababbaaabbabbabbb
+babbabaaabbbba
+bbaabbabbbbababbbaab
+abaaabababaabbabaabbaaaabbbbabbaabbabbaaaabbaababbbbabbbbaababbababbabbaabbabbbabaaaabbbbbbaa
+abbbbbbaabbaabababbbbbbabbaabaabbabaabbbbabaaabababab
+bbbbbbbbbbbbbbabbbabbababbbabbbbbabbabaaababbaaaaababbababbabbaabbabbbbaababbbaaababbbbaaabbaba
+aababaaababaabaaaabaaabbbbabbabaabbbabaabaabaaaaabbbabaaab
+aabbaabbbababaabaababbaaababaaaaaaaaaaabababbab
+aaabaabaabaabbbbbbabaabbabbbababbbaaaaaabbababbbbbabbbbbaaababbbbbabbbbabbbaaaabbabababbabba
+ababbbaaabbaabbaabaaaaaaababaaaaaabababaabaaabbabbaaabbabbaba
+babbaabaabbabbabbbbbaabababbbabaaaabbaaaabababaabbbaaaaaaaabaabaaaabbabbbaabababaaabbabaabbabaaabb
+abbababaabbaabbbaaabaabaaaabbbbbaabbbabbbaaaabbbbaabababaaaaaabbbaaabb
+aabbaabbababaabbbabbbba
+aaaaaababaabbaaababbbbbbaabbaaaaabbbbababaaba
+bbabbaabbaaabaabbaaabbaaaaaabbabababbabbbbaababbbaabbbabbbaaaaaaabaaaaabbaaaa
+baaaaaaaababbabbaabaaaaaabbaaaabbabbabbabaaabaabaaaaabbbaaaabbbbabbabbaabbaaaabaaaaabbaaabaaaa
+aaaaaaabbbbbabbbabbabbaababbaabaaabbaaabbbbbbbaaaaabbbabbbbaabba
+babbabbbaabaabaabbaaabbbabaabababbbaababababbbbbbbbbabbabaaaaaaaabaabbbbaabbabbababaa
+babbbabbbabbababbbbaaabbaabaaaaababab
+babbbaaaaabbbaabbabbbbaaaababaabaabbbaabbaababbabbabaababaabab
+aaaababaaaabbaabbbbbababaababbab
+babaabbabbbabbaaaaaaaaaaaabbabbba
+baabbabaaaabaaabbbbaaaaabbbbbbbbbabbaababbabbababbbbbababbaaaaaabbabbaabaababababba
+aabbbabaaabbabbaaabaabbaaab
+aaabaabbabaaababbbbbbbbaaabbabbbaaabbaabaaabb
+bbbbbbaabababbbaabbbabbabaabaaabaabbabbbabaaaaaabaabbbabaabaabaabbbbbbabbaabbbabaabaaaa
+bbaaaabaaaabababaaabbaaaaababbbbabab
+bbaababbbbabaabbababbbabababaabbaabaabbaababaabbabbbababababaabbabaaaabaababbaaaaabbabbabbaa
+babbbbaaabaaaaaaaabbabbbbaabbbaabbbbaaaabbabaaabaaaababaabababbaabaabbbbbbbabaaabbaaaababbaaabbbbbbbabbabaaba
+aaabaaabbbaababaaaabbbbbbaabbbbabbaababaababababaaaababbaabaabbaabb
+bbabbabbbbabaaabaaabaaaabbababbababbabaaabbaabbbbabbbababbbabababaaabababbbbabaaabbaaaabbaabbb
+bbbaaabbbaaababbabbbabaabb
+aaababbaaaaaaaabaaabbaaabaabbaabbbaabbbaabbaabaabaaaab
+aaaabaaaaababbaaabbabbaabbaaaabbaabaabaaaabbbbbaababbbbabbbaababaaaabbaaaabaabaaabaaabbbabaababaaba
+ababaaaababbabaabbaaabbbbbbbaabaaabaabaababbaabbabaabbbbbbbaabaaabaaaaababbabbabbabbbbaabbbbaababaa
+bbaaaaaaababaaabaabaaabbabbababbaaaabbabba
+abbaabaababaabbbaaaaabbbbaab
+baabbbabababbabbbbbbbbabaabaaaababaabbbbabbbbbbaabaabbbabaaaabbabaabbbbaaaabaaaabaabbaababa
+bbaaabaaaabaaabbbbabaaabbababbbaabaaababbabbabbbaababaaaaba
+bbbbabbabbbbbbaaaaabbaabbaaabaaababaaabbabbaaaabaaabaaaaabbbbbabbbaaaaabbbbaaabaabbabaabbaaaba
+aaabaabbaaabbaabbbbbbaaba
+bbbbabaabbbbaaabababbaabbbbabbabaaaba
+abbabbaaaaabbaabaaabbaaabbbbabbbbaabbabbbbbababbbabbbba
+abbabbaabaabbaaaaaabaabaabaaababaaaababaabaababbbbbbbbaabbbaabbbbbbbabbabaabbbbaaaaaaabababaabaaa
+babbababaababbabbbbbabaabbababaaaabbbababbaababbabbabaababbbaabbbaaabbaaa
+aabbabbbbaabbbababbbbbbbabaaabababbb
+babbbbaaaaaaabbbbaaaabaaabbbbaabababaaaaab
+aaaabbaaaabbabaaaabaaabaaababaaabbbababbbbabaaababababababaaaabaabaabbababbbabababbabbabbabbaba
+babbbbabbbbaaaaaabaababbabbbbaaab
+aabbaabbaabbbbabbbbbbaabbbaababbaabbbabbaabbaabbabaaaabbbabaabbabaaabaabaaaaaaabbbbaaa
+bbbbaabbabbaabbbabbbabbbababbaabaabaaaabaabbabbaaaaaaaaaabaaabaabababbaaababab
+babbababbabaabababbbabbabaaaaabbaaabbbbbabbaaababbabbabbbbabbbbabaaaaababaaaaaaaaababbaabbbaabaab
+aaabbbbaaababaaabaaabaaababababaaaabbabaabbababbbbabbabbbaabababababaabaaaaaaaabababbbaba
+bbaaabbaababbabbabbbaaabbbbbbbbbaaaaaaaabbabbbaaaaaaaaabaabbbbbbaaabba
+baababbabaaaaabbaaaaababbbaaaaba
+abababaabababbabbbaaaabaaaaabbbbbaabbbbbbaaabbaabbbbaabbbbabaaaabababaaaaabbbbabb
+bbaababbbbbabaabababbabbba
+bbabbbaaaabbbaabbbaaaaaaaabbbaabbbaaaabababbbabbbbaaaa
+aababbaaabbbbbabbbbaaba
+aabaaaaabbbaabbabaababbbaaabaabbababbaaaaabababbabaaaaa
+bbbabbabbaabbaabaaaaaabbaabbababbbbbabbabbbabbbaaaaabbabababaabbaaaababb
+abbabaababaaabbabbaabaaabaaabaaaaabbbbbaabbaaaabbbabbaabbbaababbaabababaa
+babababbabbbaabababbbbbbbababbbbabbabbabaabbabbababaaaabbaaabaabbbbabaaabaaabbaababb
+aababbaabbbbaabbababababbbbaaabaabbbaabababbbbbabaabbaaabaabbbabbbabbabaaabbaaaababbbabaabbbaa
+aababbabbbbbbabbbbbbbbbaabbaabbaaabbaabbabaababbaaabababbabbaaabaaababbbbbababbbabaa
+abbbbbaabaaaaaabbbbbbbbabbbaaaabbbabaaabababbbbaaaaabbaababaaa
+aaaabbabaaababbaaaababbbbbaabababbbbaabbabaaabaaabaabbbbbbbbaaab
+aaabbaaaaabbbabbbbbabaababbabbbaaaabbbabbaaaab
+bbaaaaababaaabbabababaabbbbbbaaaaababaaabbaabaaa
+bbabbabbbaaaaabbaababaaaaababbabababaabaaabbabbababaaaabbbaaabbbabbbbabbaaaabbaabaaaaababbabbabababbabb
+bbaabababbbbbbaabaaaabaababbbbabbabaaababbaabbbaabaaaaaaaaaababbaabababaababbabbbbaaababaababbabbbabababaab
+aaabbbbaaaabbabaabbbaaaabaaabbabaababaaaa
+baaabbabbbbbaabaababababbab
+aaabbaaaabaaababbbbabbabbaabababbaaba
+aababbabbabaabbaabbbbbbbbbaaaabbaabbabbaaaaaaabbaaabaaaaaabaaabbaaaaaaababbbabbaaaabaabaa
+baaaaabbabbabababbababaaabbabbabbbaaabaababbaabbbbb
+bbbbaaabbabbbbbbbbbaaabbbaabaabaaabababbabbabbabbbbaaabbbaaaaabaabbbbaababbaaabbba
+aabbbbbaaaabbabbabababbabaa
+bbaaabbabaaa
+bbbbbaabbbbbaba
+baabaababaabbaabbbbbabbbbaaaaabbbbbbaabbbaabbbabaabababbbabaaaaaaababbabaabbbbbaabbbaa
+baaaaabbbaaabbbbbababbbbbbaaaaabababb
+abbbbbaaabaaabaabbaabbbaaababbaaabbbbaababaabaaabbaabaaaaaaaaabaabbbbabbbbbbbbbaaaaaabbbaabaabaabaabababb
+bbabbaaabbba
+babbbababaabbabaaaaaaaababbbaababbabbbaabbbabbbbaabaaaaaabbbbbaaaabbaabbbaaabbaaaabaabaabbabaabbaabababb
+bbaaaabbaaabaaabaaaaaaaabbabbabbbbbbaaaabbabaabbaabaabbbaaabbabbaaabaaabaaaabaa
+bbababbabbabbbbaabba
+abababaaaabbbbaabbbaaaabaabbaabaabbabababbbbababbaabaaababbbaba
+aaaaaabbaabbbabbababbaabaaabbbbbbabaa
+abbaabbbbbbbbbabaabbbbbaaaaaabbbaaaababaaabbbbbaabbabaaaaabbabaaaba
+bbaaabbbabaaaaaaabbabbabbaaabbbaabbabaababbaabaabbbbbaababbbaababaaaabbbbaabbbaaaabbbbbbbaabaaaabaabababaaaab
+babbabbaaababbaabbbbababbaabbbaabbbbaaabababaaabaaaaaaababbbbbbaaabbbbbba
+aababaabaaaaaabaabbaaababbbbabaaabaabbb
+baaabbabbbaaabbbababbaabb
+aaabaaababaabbababbbaaabbababaaabb
+aaaaababaaababaaabbabaaaabaaababaaaabaabaabaabbbbaa
+aaaaabaabaaabbaababbbaabaabaabbbbbaabababbbaaaaa
+baaaabbbbabbbaabbaabaaabbaababbabbabaaabbbbbbabababbbbaaaabbaaabb
+bbbbababaaaaaababa
+abaabbabbbaabbbaaaababbaabaaaaaabababaabaa
+abababbbabbbbbaabbbaabaabbbbabbaabaabaabbaabbabbbaababaaaabababbbaaaaabaaab
+bbaaaaabaaabaabbaaabbabbbbaababaabaaabaabbbaabaabbbbaaaababaabbaaaaaaaaaaaaaabaabbabaabbbabbbbaba
+baaabaabaabaaaaaaabaaababbabaaabaabb
+abababbbabaaabbb
+abbabaabbbaaaabaab
+baaaaabbbbbaabaaaababbaabbbbbbbbbbaababababbaaabbbbbbbbabaabbbbbbbaaaaabaabbbaababbbbba
+babbbabbabbabbaababbbbbbbabaaaaab
+bbbabbabaaaabbbbaabaaabaaabaaaaaababaabbaaabaaabbbababbaaaaba
+bbbbbbbabbbbaabbbbbaabbbabbbbabbbaababbabbabbaababbabbbbbbaabababbabbaabbaaaabbaaaababbaaaabaabbbababbbabaaa
+bbabbbaaaaaabbbaabbaaaabaabaabaaabbbbabbaababbaabaabaabbababaaabbaaaaaa
+babaabbaaaaabbababbabaaa
+aaababbbababbaaabababbabaaab
+baaaaababbaaaabbbaaaaaaabbbbaaaaaaabababaababbabbbbbbbaabaabababaabbbabbabbbbaabbbbbbaabbbabaaaaa
+babbbbbbbbbabbbabbaabbbbababababbbbaababaaababaabbababbbaaaabababbbab
+bbbabbbbbbabbabbbabbaabaabbbaaaaabaaaaabbbbaababbabbbbbaaaababaababb
+aaabaaaaaaabbabbaabbaaaaaaaaabbbaaababaababbbbaabbaaaa
+abbbaaaabbbaaababbaaabbbbbaabbbbabbaaaabaaaaabbaabababbaababbababbaab
+baabaababbbbbabaabaabaaa
+baaaabaaaaaabaaabaaabbabbbbbabbbababbabbbbbbbabbbabaabbbbababbaaab
+baabaaaabaabbbabbabbabaaaba
+aabaaaaabaaaababbbbbbaabababaabb
+abbaaabbbbbabbabbbbbbababbaabaaaaabaaaaabaabbbaabaabbaaaabaababaabababbbbbbbaaabbaabaaaabbbbbbaa
+aaababaaaaaababbbbaabbbaaaaaaabbaabaabbabbbaaaabbaaabb
+abaababbbbbbabbabaaaaaaababbaabababbaba
+babaabbbbaabbbaabaababbababbaaababababbabbaababbabbaababbbabbbbbbbaabaabbbaabaaababbbabbaabaaaaaaa
+abbbbbbbaaaabaabbbbabbaabbbbabaaaaaabaaaaabbbabbbabbababbbbaabbbaaaba
+aabaabbbbaaaababbbbbbabbabbbaaabaaaaaababaabaaabbaabaabaabbbbabbaaaaabababbbb
+baabaaababbbbaabbabaababbaaabaaaabbbabbabaaabbabaabbbbabbabbababbbabbbabbaababbabbbaabaabaabbbabbabbabaa
+abaaaaaaababbbababaaab
+aabbbbbabaabaaabaababbbbaaababababbabbbbaaabaaaabbbabbaabbbabbbaabbabaaabaaaaabbbabbbbbbba
+abbbabbbabbabaaaababbaabbbabaabbaabbbbababbbbbbbaabbbabaaaaaaaaabbaabbbbbbaaabbbabbabaababaabababbb
+aababababbabaaabbbaaaa
+babababbbaaaabbabbbbabbbabaaaababbbbaabbbbababababaaabbbbababaabaaabaabbaababaa
+baaaababbbabbabbbababaab
+abaaaabbabbbbbaaabbbaaaabbaaa
+babbbbbbbbbabaabbabbabaabaabbabbabaa
+bbbbabbbbaabaaabaababaababababbbbaaabbaaaaabbbbbaabb
+babbbaababaabbaaaaabaaabbabaabbaaaabaabbaababaabbbbbaaaaaabbbbbabbbbab
+bbbabaaababbabbbabbaaaabaaabaabaab
+aabbababbbbaaababbababbbabaababbabbbbabaaaabbbbbbaaaaabbbaabbbbabaabaaaaabababbbbbbbaabbabbabaab
+aabaaaaaababbbbbababbabaabbaabbabaaabaabbaabbbababaaaaaaabababababaaabaab
+bbbaabaabababbab
+abbaabbabbbabaabbbaaaabbbaaabaaababaaabb
+aabaababbaabaabaabababaaabbbabaaaabbaaaabbaaabbaaaaabaaab
+abababaaabaabaabbaaabababbbababbaaaaabbabaaabbbabbbbaa
+aaabaaabaabbabbbabaaaaaaaaabaabbabbbaaaaaaaaaababbbbbbaabbbaaabbbababbbabaabbbabbbabaaabbbbabbbbbaaaab
+bbaabbaabbbbbbbbaabaababbbabbabaaaaaaabbbbbaaaaaabba
+abababbbbaabbaabbbabaaababbaaaaaababaaabbbaabbabbbaaabbbaaabbaabababbabbabbbaabaaaaabbbb
+aabbbaabaaaaabaabaabaaaaabababaaabbbbbb
+abaaaaabaaaabaaabaaabbabaaaaaaaaabbaaaaaababaababbababababbabaaababaaaababbbbbaaaaaaaaaa
+aabbabbbaaaaaaaaabbbaaabbbabaaabbbabbaabbbababaaababaababbbaababbbaabbbbbaaaabaaaabbabababaa
+aaaabbaabbaaabaaaabbbaababbaaabbaabbaaababbbbaabbbbbabaaabaabbbabaabaababaabbaaaaababbaaaaaaabbaba
+aabbaabbbbabbbbbbaaaaabbbbbaaabbbaabbaabaabbaaaaaababbbabbaaaabaaabaabaaabaabbbbabbbbbbbb
+bbbabaaaababbababbaabaaaaabb
+ababaaaaaaabbaaaaaabaabbbbbababaaaabbbaabbaababbaabaabbabbababbbbaabbabbabbaaabaabaaabaaaabbbabaababa
+bbaaabaaabaaaabbbbaaaababaaabaabaababbbaabbaabaababbabaabbbbbabaabbaababaaabbbabaaaaabaaababbbaaaaaaaba
+abbaaaabbaababbaaaababbbaabbbaabababbaabbaaa
+abaabaaabbaaaaaabbaabbabaabbbbbaaabababbaaaabbabbbbbbbaabbbbabbaaabbbaabbabaaaaabaaabbababbaaabbaaaaabab
+abbbabbbbbababbababaababbbaaabaabababbbbaabaaaaabbbaaa
+ababababbabaabaabaaabaaababaaababaabbabaabaabbbabbaaaabbbbbbbaaaabaabbbaabbaabbbbbbbbbabaaaaabbaaabbbbb
+bbbaabbabbabaaababaaaabbbbbbbbbbababaabaabbaabbabbabbabbabbbaaaabbabbabbbabbbbbbaababbabbaabbbaababbaaabb
+bbaaababbbbbabbbbbbbbaabbabaabbabbbbaababbaabbbabbababbbaabbaaaaabaaba
+baabaabbabbbaaaababaabaababbbbbbaaababbbbbbbabaaaabbbabbabababa
+abaabbbaaabbaaaababbabbabaabaabaabaabaababaabbbaabaababaaaaababaaaababbaaabbbbbabbabaaaaabaab
+bbaababaaabaaaabbbaaabbbaababbbabaaabbbabaabbbabbbaabbbbbbbbababb
+aabbabbbaaabbaaaababa
+babbbaababbbbbbbb
+baababbabbabaabaabbaaaaabbbbabbbbbbababab
+bbaaabbababbabbbaababababaaaaabbabaabbabbabaabaaabbbabbabaaabababbbbaaba
+aababbaababbabbaabaabbabbaabababaaabaaaabbbbbbbbabbaabbbbaba
+aabbabbaaabbabaabaabbabababbbbbabaaaaabababbaababbaabbbbabbaabbbbbbbbaaa
+aababbabaabbaabbaabbaabbabaabbbbaababaabababbaaaba
+abbaaaabaaabbababaabaaba
+bbabbaabbabbaaababbbabababbbaaaaaababaaabbabbbbaababaaabbbabbbbaabbbababbbaabbbabaaababbaaaa
+abbabbabbbaabbabbb
+abbbaaabbbbabaaabaaababaaabbbbbabbabbaababbbbbaabbbaababaaaabbabbbbaaabaabbaaaa
+aabbababbabaabaabbabababaaabbaaababbaabbabababaabbbaaaab
+bbaaabaaabbbbbbbabbaaaaaaabbaaaabaabbbbaababaaabaabbbbaaabaaaaa
+bbabbaababbbaaabbbbbababbaabbbbabaaaababbaabbbaaabb
+aababbbabaaabbbababbbaaabbbaaaaaaabbbbbbbaaaaabaaaaaaaabbabababaabbbabbbaaabaaabaaba
+abaababaaababbabbbbabbaaaababa
+aababaabababbbbbbbaaaaabbaaababababababb
+abaabbaabaabbaaaabbbbbbbbabababbbaababbabababbaabaaaabbbaaaabaabbbbbaabbaaabbaaabbabbbbabbaaabbbbaaabbb
+aabbabbbaaabab
+babaabbbaabaaaabbbbbaabbaababbaaabbaabaaba
+abbbbbaabababbaabbabbbaabaabaabbabababbbbbabaaababaabbbb
+bbbbbbabbababbababbaabbaabbababaabbbaaaabbabaabbaaababbbbaaabbabbaaaaababaabaaaaabbaaabababa
+aabbbaabaabbbbabbaabbaaabbbaaaaaabbbabbbaaaaaabbaabbbabbbbaabbababbbbbbbbbabbbabbaabaaabbabbbbbbaabaa
+ababaaabaababbabbabababaaaababababbabbaaabbabaaaaaabaabaababbabbaabaaaaaaabbbbbababaabbbaabbbbaaa
+abbbaabbaabababbbaabbbbbbba
+bbaaabababbabbbbbbbbababbbaabbbabaabbbbbaabbbbabbbbababbabab
+98 15
+bccbbdccdbabcbaabaadcdadabbccbbaadbcdcbddcbbcdbabbcbdcccbadcddaabaddbbdbbdbbcbdacbbabbaad
+dbbddaccdaadccdabdaacbdccacbbddbcdbcbbbcdddccddbdacbdcbadbcaddcdcbabcbddacabdabaddbacabbaababddaaaccbaadcd
+bdbdbbabbabddbadcaadadcbacabadcaaddadababdbdcbadabbadbdacdcdcabdabccdcbacdcddacbdbaddcbcbbaba
+dccddbadabadbbbabccadbdadadbacbbbadccdcadbabdadcdabdcdbadddcbcbabadaaabacaaabddcadbabdabcdbab
+babcbcbacddcdcadccbcabbacacaccdadcabadcdbdbccabdacdabaaaacdcdbadbcdbaacbcacbabdccbcccbccda
+abddcbdabbdbdacacdccadcaaadcdcabaddbcdaba
+bcbbbdbdacbdbcdbdaddabcabbadbabbaddadcbccdddbcbdcdcaaaccdaddcbbbd
+dcdccdaadccbdbdaadccbadcbccdcbbacbcdcbacabbcabdcdcbbcacbaccdacbdadcbcbbacc
+caddababcddcddcbaddcbbdbdbcddcbabdbdabcdcbdabccaddabbbbadcdccddcbbbadcabdaadccbaddddcbcadcccc
+cdaaacdcdccccacbbbdadbcaaccbccadcaaccbbbbaababcbdacdddaccdbdacddbabcbbdaa
+bbdcddcbbdbaaaddcdabcccbcdbccddccbacadbadbccbdabadbdddbdaaddbcbddddddcdbbdbadad
+dbbcbaaabcccdaddbabdcdab
+ddacabcdcccdbbcbaabbcbadbbbacdbddcabcddadbdbbcbbddccadddacdadadacbddcabcdacbdccdad
+cdbccaddaadccabccdbdcddbbbbddacbdbcbbcbabcacadacabbaabbcbbacaac
+baadcabdbccaaddcdaaaddaaaccccaccbcbbddcccaddbdabdbbacbcabccbbdbabccdbccccadcd
+dddabbbdcaaabdaaacaaddabaddbaabaccbbbbccabcacdcdbdbdaacccabaaabadc
+acbdccaadbababbdaabcdabbddadddadddadbbcaacdcababccaddcbaadadbaacccbbcbcddbcccdcabdadabbabadadbabcad
+dabacbbadcbddadadabdcccabbccddcbbbbadbccbdcdcabcaadaccbbcddcbbdbcabccabaacbccbbdbcbabbcdcc
+dbadacbbbddcacababcddcdcdacaaccbdaadcaabaabaaddbddbaddcdaa
+ddddcdaacadcbacbdbddcbbbadddbdcacababdcdcccaab
+ccddbdbcdaaaaacbdaaadcdaaccdca
+dbdbcabcccbcddcaddccdbabbdbabcccccddcacabaddcaadcadbaacaccabcacdcdbcacdbbccbcdbacbbdbccbab
+bacdbddadaccacbaccbcccbaccbddccabbacaaabbabaadaaabdacbcdacbaccddaccabaaacabbddccccaccdacbbdaadccbb
+dcdcdcbadbadcbdadbbadbddcdddcabdacadbcab
+dcdbddccdddccbaadbbcbacabbbcdbaabcbcdddacccdbbabaccda
+dbbbcdcdbdcbababadcbaddcadbdddbcdcdbadbbcadcabcbbccbbbcabadacbdacdcbdbbc
+ccbccbdcabbcbbacdccbabacaabdcbbdabdbcbacbbaabcdbbccaddadccd
+baccbdbcadbdbbdbaddddbabbcaccadadccbaaddabddbc
+dcaaadccbdcbdcddaabcbddaacadbcaaabaddccadcdababbaacacdcdbacbccccbddbdcbdd
+bbaaadbcbccccdcccddddcbdabccbdbbadcbacbbddaaccbbdddcbb
+ccabdbbcbcbbbababcabdcbadbdbadcbbdcdbddabbdcacbbcdbddbcccbbbbdadbdcabbcbdadcbadbddbcacacbbdbd
+bbdaccbabdabbabcdacccaabadbbd
+ccddbbbdaabccabaacbdcbcddabccbcadada
+bcdbcddddcaaacdadccddbdbaaaacdbdabbcbbacdbdbbcbbacbcdbbddcdbbbbccbdacbd
+aabacccaadaabdbcabddaccaadcdabcacdbddabccabcbbaccb
+daddabcababccbbbcabbaaac
+dadbdcabdbcdcdccbcc
+adccadcacaadcdccddacbcdcccbdcdbccbababaddbcdccbdcddbccaddcabbadabddccbb
+cddcbbaacdabcbaabaaadbbccabcdaaada
+abdbddaabddadaacbcdcbcdccbcabb
+cdcaabacbcacababcddbbbdd
+dcaccaaabcbddaaccddddadbaacaccdcdbddaacbabbccbaaaacbdabadbcddaacbdbabdbcbaadcccaaabaddbaabbabbadbbccadcaad
+ddabbadabdbbdcdbdccdacddadacdbbbbdabbbcdbdbaabbdccdbcbcbccca
+dccaabadcdacdacabcbdcadcbddabdddcdbdbddcdccdcbbac
+bcadddddcdcdcc
+aaadacccddddbcbdcacddbbbcabadddddaaaaaacdbacdcdabaacbadcddacaabddccdbdaabdacacabaddadaddacbdbbbbddcaaabaaaaca
+ccbcacacacbdbcccddadcacdddaacdbbdcabcdddccacddbdbbbacadbcddcbdbacbbadadaab
+ccbbaacdbdcaccadb
+ccdaccacddaccacaaccbacddbbbdaabdacddccdacaaaaabbaacadcadbdbcbb
+ccacbdcccacdddbbbdcbdcacdddacdab
+abdccadabddbacdaacdabdcadbacabbbacbcaacadaacabaccdabbddabdcadcbbcacbabdacaddcbddaabaabbccdcdcddaacdbccc
+baaadddacaabdabdadadddbaabadaacddcdacccbadbcacdccabcdbbddcddabbacabcd
+adabdbdadaacdddaaaadadabdaacdcbacbaccbddddadbdbcdaabddcbcdabcacbcbcaaaababcaadbbcbddbbcacabcdcbadabcabbabbc
+ccbabccdbabadcbcabcdbabcaacaaabdcbabddbdaabdbcccdacabdddaacacacbddccddaacacccbcccaacdabbd
+dccdadcdcadabdbbacbbbdcdacbdcdbdabdbddbaabbacdccaabcccbabcdcadcaacadbaacdbccabdbdaddcbcdcdddaccbcaca
+bdaabacaaaddccbcdaadbdcbbbaddbccbabdcdcddbaccadbbddcdcdabaccccddcccadcbabdadaddaabaabadbbddcdaaaadd
+bbddbdadcdcabcbbaabcbcccbacdcaccaaaccadcdaababcaddcbcdcdbbadaddaadbdab
+bddbdaacaddbbcbcdaacbaaddbaadcadddcacabcaccccbbaacbaddcbdadcabcdccdcdcddadddbcbbbcdcbbdcdaabbbaddbcdacac
+acbcadddaadbaaadbaabbbddcccccbabccaaadcdacbaadbaccbacbbadabccdbccdacabbbdc
+bbbcdadccbddabbaccaccacdbcdacdadbccbabddaaaaaccaddadacbdcdaccaadacabadca
+bdbcdaacbbddbcccdcdccdcccabdcccadabbcabcdccadaccdbbabdda
+bcbabbbcaddccacabaccccbabbbbbdbddcadcbcbadcacddcdaabcbbcacdacdbcca
+cdbcbdabcdbadcbccbdbdadbdbaadcbbadbdcbbcbadaddbcadbddbbdbadcbcacc
+bdddabaabbbbaddabacbabcdbbdcbdccadbbbdbddbcaddcbaadbbbbaadcdccdcccadaadcaaaaadbaaabacdcdabacdbbddcbbcbdcd
+adcdbccdadbbcddcadadaadbcddddaddcacdbaaddabdbcbabaacbdbc
+bdbbdbdccdddddbbccdcbcaabbcadadbddccbcdcdcdbddacbbdbbccdccbbdbcd
+cabdadbacababababdbcbaabcadaaac
+cdcbbaacabcadbdacdcadcbdaacbdbdacdbacdbacdadddcdcbdccccddcabbdd
+badaabcababdaabdbdbdcacddaadadcbabdddbdadbcbbdabdabbadabcbcaccadbadaaacddacbbbbcaccadadcabacbaddddbdbcadcb
+abcddbbbbbadc
+aabdabcccaabcbdadcdbcdbadaacacddadcdcdbbdcabbccdabdadbcadcac
+abacccadccbcdbadaacbdbcdddbdbabbadcdcccbddacbaadaaaccddaddccbbbdbbba
+acadccccadadbcdaacddcaaddccddccdbbdbddbdadbbbcbbddccaabbabadcbcacabbbcbadccdcdbbdabbdacb
+ccddbadbcacbaaabbabbacdbbbdddc
+caccbbdbababcdbbaabaccddcaaabbaccaadddabbdbbccacddaacabdcdddcabbbabadbccddbcacdcdbacdaaa
+baaaaabadacadbdaacacbcbcdc
+cccdabcbbaddbcbacdddcdcaabbbcddacacbdcacbbdaccacaacbdabdbadd
+aaadcdacaaabadcbbaddabadccbdaaccdbacaadacadcacdbdaabdbcaacaccabdadccddcadbbbdccdbacdcccad
+adaaacbcdbbcacbcccad
+bacadcbaacdcddaabcdbbaadbcdacdabcabdbcddcbacbcdbacbdcaadcdbddbdcadbaacbbcdbbadabab
+aaadbaccbcacadbcacdcdcdacbcdaadddbbaacbadcaadbaabcdaaadabcadbababddccbaacdcadbdbb
+cbbccdcbcdbdaaacbabc
+aabcdcbbcaadcbcbbacbcadcbcadccdadaaadabbbbdbdddadcddccaadabdbdbccccaccbccaa
+ddcdabcbaabadacadc
+abdcaadbbcacbbbacbbbcdddacdaababbdcdddbbaaddcbdcdcdaadcacddabddcaabcbbaccadbaaabbbcdbdaddcbcdbcdcdccaabab
+bbbabddbaabbbcaccadaabadcbcddadcbbbddbddbaacbc
+bcbdbcdcac
+dcacbcaaadbdacddddbbaabcadddddabcbccccbacbdaaacbadbdbaccddddcddbdbbbbcddbaccabbdadccaabbbbdcddcacccbdbdaa
+abbaacdaccbbbcadccdcbdacdcbcccabbdbabdadcdbccbbacbddcbabaaaadbba
+acbbbadabdbddccddcbcbdbadaabcabcbabbacc
+bdbcdadbddbbccbcaacbddbaadcbcbcbdabcabccadbadadaccacbdcadbaadbcacbdbabdbcddbbabcdaccddccccd
+daaacccbadcaabcabcabdbcdadcdddcaaaccbccaacdacbd
+adadbddccbbbccbbdda
+bbddadcbdbcacadddcaaaababbbcabcdadaabdcadcbabbcbdabbccccabcdaaabbbacdcccbacccdbccacaabab
+babbdabcaddbdaddddcadaabacaccbaccacc
+dddbacaabbacccdcdbcacadabdbababacabcdaccdababccbdddddad
+acbbdcaadcaadbaaadcdaadaabccbcabbbbadbabbdabaabacccaddabdbddcba
+bcbdadcbadcbdcabaabccddcaabcc
+52 8
+badcdcbcbcbbadddcbdacaaddbbcadadbacddbccddbbabddddcbdbaddbadcbccbdaccababcaaaaad
+aabcdbbdbcdcadccdcaaccadbabdaddaaabaabdccaabcbadbbbaddadccadaacbbdadcdacccdaaadcb
+dbbddcbbadaccaadcddcbbbdcbadaadbbcabbcbcddcccdadcbb
+badddbbdaabacdccbaaccacbddbdabcaacaccaadbbbacbcdadcbccbdaabaabcaadbabbabdcbdbdcbbcbdbaaa
+dcdaabacbdacbcdaaadabdadcadcdccbbcbddcdbdcc
+bcccbdcbdacadcbbb
+bcacaaaabcabcbdcbbabbabdcadaacccd
+bdaaacdabababccccbcdcacbbbabcddccca
+cbbadababdbdbcacaccaabaaababcaaadabbdcaddbcaabcaacbdcaaacbbcbacbbadacacaababaaa
+dbbccadbcdbbbababadadaccbccdccbbacadabcdabcbddabaaacccbacbbaaccabaaacbacbbbcc
+cbbdbcdcababddbbdcacdddaddbdcdcdcdbaaddddcccccaabaaddabdbb
+babccabbdcacabbbbabdccdacdcacabcabadacccadbcddcb
+bdcbbdcaabcbdaccacccababcaadcbcbaccabcabbcdcab
+cbcbcdbbddbcaccbcdbaaadbcdbddaabcdabaccbddddcdcaaacabcdcbdcdadddaac
+acdabaaaaaababdddadcadbcbdbaddcaddadccbcddabcccdaaac
+cbbddbbaaaaacabcddbdcdcabadbcbdadacddcbbbbadbbbbddbcbdacbbcccccbcbaadddbabcdabadcdaacbcccd
+aadcabacbacabaacacbaadcadbabcaccabcbbdbbb
+abbacbbacadcbcdaaadbdabbbbbbdbdbcbdddaaadccddbadcdbdcbdbddbccbdcabcabbddaaadd
+bacdccabbaadcbcdccdbbadbbaabcbcacdbdbcdadaccdaacadbcdadaddccacabcddbdcaddbbbdbbba
+acdcdbbccdbdcdccddbaabacaaaacdcababcadacaaac
+cabcbcdcadcbcbbacddddadabdaaaddabdbbbaabbbbababdbcbbcacacbdddcadddbbababdbdbaaabbbcbbdbadcba
+acbdbbdaddcbbdccbdacbbbbccbbbcbcdddcdddcddcdcaadbdbdbdcacbbccdcbaadadaddccabccbcbabbaadbcacbaaddcadaaa
+cdcbaabcbddbdcdcbccadbbcaabbaadbddcdbaaabdccbabaabbcaaccddbcaacccbadadcadccaddcdabad
+aaaccbdbadbaabbabbdaacbdbddca
+cacdddbdbbbccbacbdadbcddbbacacdacadbbbdbddcdbbbbdac
+babccbcccacbdbcdddccaccaaabbdcd
+cadcbdbbacbddbaccddccbbcdcbadd
+acdddacbdc
+cacabcaacddcbadbbddcacadccbbaaaaadddbcbbacddadbaadabbbdcddabaabcbcbaddbbcaadbbdbabccaaadabcdbb
+cbdaadbdaaacbaaacbddadcaababbbbcabcadcbdbaadbdacbcbcbcdaaccbcbcbb
+bdbddadadacabacbddacdcadbacdbdbbdddabbdbbcaccdcdcdbdcdddbdccadcaabaadaadd
+dcdcdcaaacadadbccacccccdcdcdacabb
+bcbddbcabdccabbadbabccddddacbcccaadaaddcaddddbdcddbc
+cdbacdbdaddaddbcdcabdcddacbbaa
+bdcdabdbaadbbacbdaabdbddabdccccccdaddacabdacbbaccbcddcddaaacbdcadacccbacdadccbddddbadbbaaccbcdcdbbaaddbbdc
+bacdabcacbbbccdcdbbaadccdcbabaddcddccddacdbadcb
+dbccbdccbda
+ccdacbddaddbaadabcccdbbddcacaadaadcbbbdbdccacdccacacaccdddddbadbabacaacbbbdbbcaacdacdbadadccdadbabaaacdabaddd
+ccdcbcbabcacaaacbabccdcdbaadadbadddccdbb
+badabbabbbabdcbbacdbcabacccbddadddccbddcaabbadbddcaabcdcadcaca
+acabdbbdbddaacdbdacbbdbacddabaacabcdcdbcdddadadbaddbaccaabbacacdacbdcdabaccdcdbccaaabcdaacdacbbabccadddccaca
+dccdbaccdcabbcdabbcaaddadcccaaddacacabccccbbcbccdbaccdcaadcaadbcbcdbddcccdabaccadbada
+dabddbbcdbddccacaccacbddbbbdbdcabcdadabadaccbcbdcbacacdabaccbbba
+cdcbdbcbaddcbbccdbabbddbdddadcc
+bcacbbcaaadddcadacdbccdcbcbbcdbcdcddcccda
+ddcaaddcaaaabdbdabaadbadaaadddbbaacadbbaaabcaddcdbdadaabccbbcbcbbcaddbbbcabcbdbbabadcbdaabcbcbcadacdcbcb
+bccaddabadbabababcddbddcaacadaacdddddaacacc
+cdacbcabcddbddbcdcdadcabcacddbacacddbaaadaaddbbcbbacaddabcaadbbaccdcbbddcdcddcabcadaaccddbcaacabb
+adcbbcbaccdbccbbabcbdddccbacacbabcddcabdaaaadcdcdacbaadbcbbabadddcbbbabbdaabadcb
+cadaaaaadbaadbadbcbbadcbdbddbbdddcbbcadbddbbd
+aaccdddddaadcbdddaaabadabdacbacddaaaddabbcd
+aaddbddcbbdbaabdcdcaabbccabcdacbabcddbaaacdddbbac
+182 136
+bababaaaaaabaaacacbbccbbbcababacbbccbccbbbabbcccabbbaacbabbababcccaccabbacabaacabccbba
+bcbbcbaacbbcbaacbcbabbbabababbcacaaacaaabcbcaabcacbaabaab
+ccaacaabccbaaab
+bbcaccaaacbcccbbcbcbacaccc
+cacaacbbaabcbaccbbccacccbcbbacaaacbcacabbcbabbaaaaaacbabcab
+cbbbbabcaacbcacbccaabcbbbbbabcabbcccbbcbaaabcaaaabcccacabcccaaaacbaccbbcc
+bacbabacacabbbcbccaabbacbbacccbaacbbcabcaabcbbaacacbccaa
+ccbaccabaacabaabcaba
+abaaabcbcccacbaaccaaaaacaacaaccacaccbabbaaaababcaabbcacbabcbbcbaaaaababccaaaa
+cbbabacaabcbcbacbccbbcbacaaaccbacaacbabbbbc
+cbcaababaabcacacccbbcacabccccbcacbbccbbbabcbcaccabcacbbbbcaaaaabacaaaacbbbccca
+bacccbbbbbaaaccacaabccaaaabbbac
+ccacbcbcbbcaaaabbbbacbabbacbabcbabcbcaacbcacbbabbaabaacaabcccbcabbaabbaaaccabccbaaababaabacccaacbcbbac
+baaaabbabbcbaccbacbbbcabaaccacbcbccaccbaacccbbbbaabccaaccccaacbabcacccabcbbabbccabcacacaacbabbbca
+bbbabcaabcaaccbbbcbcacacaccacbaabbaaaacbc
+ccaababcacabaaaaacbbbccbbaaaababcbccbcbbbbbcaacabacbaaabacccbaaacaaaccaccccaccaccbbb
+abbbaabacbbbbacaacbbcaaabbbcccabcacabbac
+abaacbbcaccaabcccccbcbcacbccaabbcbaabcccacaabcaaacccababccbbcacccaccaccaabccabc
+cabbccaaabbbbcccbbcccbbbbbaacababbabbaacabbc
+bcaabbcababcbbacbaaabaccccbabaccbabbacbcbb
+bccaacccacaccabcbacbacacacabbbccaabccabcbacaacbacbbcaaccccbbbbbcacaba
+bcbaccbacccacbbabbcbccbcbcbbcbbbacbbabacabccacbacabcccbbabaabbbaccccbcaacacbcbabbbbcccacbcbcccbaa
+babbcbaaabcbbbacabcccabaccbccaaccacaabacacbaabcabccacbaacccacbccaabcbababcabbccaababaabbabb
+baaccbcabaacabaabacbaccccccbbbcac
+ccbacbacbccacbbaaacbbbccacaacbacacbbcccacbccaababbbacaccbacbbabacabaaacccccaaabbaaccbc
+abcaabcbcbbbbcbaabbbcbababacbcbaacbccbcbcbacbbabcbbaaaabb
+caaabcaaaaacacbbaccbaccaabacb
+bccabcbaacbc
+cbbcabcaaaacbbbbbaababacabbbbaccbcbaacbbbbbaccccaacabbcaacbabcbaaccbbcabaaab
+cabccbaccaaaccaabbcbaabb
+bacbcacacbababbaaacaacababcccabbaaccaacbabacaccccaaaaabccaabbbbcbcabcacbcacaccaba
+cbcaacccbcabbccbbb
+baccbcbbbaaaaacaaccbbbbaaabbcabacbabcbcabaacbccabcabccbccacacc
+caacccababcabcbacabcccbcbbcaabbaabcacbcaccbcbabcabaacababacacbccc
+bacabbacaabbccaccccabbcbcaaacbcbaaccbcacbacbcbaacabacbaab
+caabacbbcacaabccacbbbbcaacaccbaccabcccacbcbacacbbcbbbcbbbacaaccbbccacbccbcbcaabaccaabbacccbcaacccb
+accbacaaacccbccacbabcaacaacaabccbaaaccacbcabcabababaabaa
+abcaaacabcbabbcabaacbacbaaabcacacaccbbabaacbbbbaabcbcccabaccbbaababa
+caabaccbababccbabaccaaabcbbabacaabaabccbaccbaccacccbaccbbaabccccba
+baccbaabacbabcbcabcabacbcbabbcccbaacabaacaacbaccbcacccabcacbccccbbbcabbbbccccbaccbaacabcaaabcbb
+aaabbcacbabacccababaabccacabbcbcbacabcaccbbbaccb
+cbcbacbaacbccabccacbcccaaabcbbaaaccbcbabccabbbbcaccaaacccabccbcabccacccca
+acbaacaabaccaabcacabbcacaaababcacaaacaababacacbaacbbabacbabaaabccccbccccaababcbaacaccb
+caacaabbaccbaccccaccccbabcacbcbbcaaacaabbbabba
+bcbccaaabbcbbcaabbcacabbccccaabaccacaac
+cabaacbaacbccbcbcaccbcabaaccaacbabcabcbcabbbcaaccbbcbacbbcacabcbabbbcbcbcaababbcbabacabbcbbbccba
+acababccbcabacaacabababbccbbbcacbaaacbccbbba
+bcbbcbbaaaaaabcbabcbbacccacabb
+bcbcbcbabacbacbaabaacbccbcaaccacaacbbaacbbbbbaaca
+bbcbbbbbbcbabbbbbbbbaaaccbabbcaabbbb
+accbaaabbbcccca
+aacbbcaacbbcabbcccbcacacbabbabcbcccaabaacbbabcaaaacbbaa
+cabcbabcabcaaabcbbbcabbbacbbbbaacab
+aabbabbcbabacaabcbbacbababaccabacbbabcccabbabcbcababababcacbccbacabcaaaabaabbbbaabcaabaacabbbbcccccbbabbabca
+bcbabbccbbacbbccabcccbbaaacabcccbcacbbababbcabaabcbccaacbbaabbbccabbbccbcbccb
+cabaccbcccbcccbaabbccbabaccbaccbbacacabbc
+caabaaabcacaaacaacbcbbacbacccaabbabccac
+cabababcacbaacbbbbbaabababccabcccbcacbaabaacacbbcbabcbb
+ccacbcbbbaccbbaaaababccaabcbcacbaaabcaaccccbaabcccbaaccaaccaaaacacbbccaaaaaaacaabbaabcbbcacaaaca
+aacaccbababbcbcbbbbaacbcccbcbaabbcbbabbabccbacabababcaabaaabccba
+aacbaaacccbccbccababcbabbabbbccbbaabaabaac
+bbabcabbcabcbabaaabcacacbbabaabaccbaaacbacbcbbaabbacbbbaccbcaccbbcbcbbcb
+abbbaabbcaabbcbbcaabbcacabbcbbcaccbbbccabba
+cabaaaaaccbbabacabbcbbccccbacbcaabacaaa
+cbcbaaccbbabacccbcaacbccbbcacaacaccbbacabaabbaacaacc
+cbaccaaccabb
+ccccccaaaacabccaacabaccaccbcbcabcccacbcccbbaabbccbbbccccccbaacbbbccabacbabc
+baabacabccbcbbabbbbbabcabcaccccbccccbacaacbaababbbcabcababa
+bcbbbbcacccabbbacbbbccccccbcaabccb
+abcacaccabcaaacaaaccccacbaabacbbbbacaccacbbb
+ccbbaccbcaaabccbcccaccabaaacbbabcbbccababbcabcabcbbcbabaacacaabccbccbcccacabcabbbabcbbabbbaccabbbab
+cccabaccaabccaacbcaabcacacaababcaaabccbbbbbacaaacbaaabbbbabbba
+bbbcbaccacabbabccccacaabbbbccbaacbaccacabababbcbbcbabaaccaaabbbacb
+bbbcbbaacababbbbcbbbbabbcbcccababcabacbabcbcccaabbcbbabcbbcbaacacccacccaacaabaccbab
+baaaabcccbaaacbcaabccbcaaccccbbaabbbcaabbcccabcbcbcbabbbabababacabacabacbaccac
+abaacaaabcaccbcaaaccabaacbac
+accbacbcbaaacaaabaaacbabaabacaacacbaacbcabacbbcacbcacabaa
+abbacbcacbabb
+bbcbbbaacbcabccabbaccaacbacbabbcbcccbbcbbcbcccabccccacbaacbbcccbccacbbbbababbccaacccabcbcbacacaaccabaaaa
+abbcacacabbccbaabccbcbaabbbbcaabccbaaacbaacbbcbbabacbbaabbabaabbbbcc
+acbccaaaaaabacacacabaccabaabaabbcbaacbacbcbbababbbcacbaaaaabbcbabcabb
+aababcbcbbbbcbcabbabbaacaabaaccbbcbbbbbcaaaacabcbcbacccbabaaaaba
+acacccbbacabaabccbcacbcbccbccccccbabc
+cbbbacbbabaacacbaac
+cacaabbcbbacccaabcab
+ccababbcbbbacbcaabbacbaaccabbbaaabbbaabbcacabaaaacaabaacaacbcbbcccbaaaaacbacabcacbacaaaacccbacaabaa
+acaccbcbbbcccbcacccacabbacbcbabcbbcbabbaacccacbabccabbabbaacbbbb
+acccacbbaabccccbccbccbccbbbccacbbabacbcaaaccbcbbcabbcbcabbcaccbacacabcacccbaabbabbacbbcabccbcbacabbbcccbaa
+cabbabcbcbaabaabaaac
+bbbbcbcaabacabbccbbcbbcccacbcaccacbcbcabbcccc
+abaaacabbbcbacaabcbcabcbaaacbbabacbcbbabbabacbab
+cccccbcbbabccbacbbcababcaac
+aabcbcccacaabccbaacbcabbbbabcaccbbabaacaaccbc
+cbbcbbabbccbbababcabbacbcbcbacaccabbcacbccccccabcaa
+acbcaccbbabacbcabacccbabbccbacbcbcbbcaabacabcbb
+bccccaacabcbbacacbbaaacbbaabacccbbbbbcbbbacbcbcbbaaacacacabacaacbcababaccccacaccaacbaa
+bcaacbcccbbabbcacabaabbbcaacccbaccaacbabbbcbaaabaaabbbccbabacbbbcbcbcabcc
+baaccbacbcbbbbbbbcbacabcbbbbbacbbbabcbbacccabbbcacb
+bccbabcbbcacbbcacbcbcccaacbacccbccbacbcc
+abaaabaacaabaaccca
+abacacccbcacbacacaacaccbabcbbcacbabcbcabcaaacaacabcccccabbbaaaaaabcbbb
+acaccaabbbabcaaabcccbabccacbcabcbbabacacbac
+caaccbcaccaababacccaabcacbcbabccbcaaaacabaccabbcbcbbbcacaccabbaaabbcaabbbbcbcbabaccabcbaabbabcbcbbabacbcaacb
+aacbbbcacaaacabbb
+bbcacaaabcaaaacaacccbbacaaaabacacbccbacbcacbacbbacaccbacabaaaacbbabaacabbccbaaaccbbcbacbacccacab
+bcccbabbaabcbaaaabaabb
+abcbbcbbabaabbaccbbcbacbbaccaabacbbc
+baacaaaaacbcbaaab
+cacbaaacabcbacaabbbccabaaabbbacabacbcccbacaacaccbcabbacabbaccbcbbcaacbbcacccbabaaaccbbabbcacac
+ababbbabbacbaccbaaccccbaccbbcbbaaacbbaccbc
+aacaaacbcbccccccb
+abccbbbaaabbbbacababcccbbaccb
+acabaacaaaccbacaaccbcbacaacbccbbcbbabcbcbccacabbbabbbbbcccbbaaba
+aacaacbbaacbbaca
+bcacabbabbbccaabcccbcacbaacacbcbbbbaabacbcaaa
+cbbabbaaabcacbcbbbabaaabcbbbccacabbbbaaaaccabccbaaccabbbcbbabcacbacacaa
+abcccabababbacbbccaaccabccbcaccacaaaccacbabaabbccabcababaabacccacacbbbbcbcabcbcbaabbabaaab
+bacaaabcbcabcbbcbbbabccbbccaca
+babcbbccbabbcabcbcccbbbbcabcaacabbacaabbcabcbbabbbcbcccccabcabbbacbbccabbab
+bcaaabcacbbcaacababbbabccabcabbabbccacabbcacabcabacbabbbbbbbababaaacccbcca
+baaaccbcbbbccbcbbbcaaaccbcaaaaaccacabcbabaccbcbbaaccbabbccaaa
+cbbacbbcccccaacabccccbcbbbabcaacababaaaacbcaacccbcbbbcaabccabbbaccbcbccb
+cbcbcacacbabbabcbcabcbbccaccababbcabccbbabbccbbbbcbabcacbaaacbbbabbabcaabb
+abbaccbaaccbabcaca
+bbccbacbbbcababbcbcaacbabacabcbbbcababaabababbcabaccbc
+caccbacabbababcbbabbbbabaacabcbacaabbcaabacbab
+acbaaccbaacacaaabcbacaaacbcccc
+caababbcaaccaabbcccccbcbacc
+baaccbbacbccaababaabccacabbcbbcaaaab
+ccccababba
+bbaccacbabcbabbcbccacbbbcacabbcbcccacbcbabbacacaacacbccacbcccccbbbcacbaccacba
+accccbbabaaabcacbbbcaacbccabbabcabbacacccc
+babccbbaaac
+bbbbbbcbbcaabacbbaacbbbbbccaaacbabbbbcbcccbaabacabb
+ccacccabbcccacabccbaccccccacbbabbcbbbccbccaaacccbcacbaabbccbccbacabcbbabbacccca
+baabcacabcaccbacacaacabccbcabcabcbaabbbcbcaaacccacbaaabaaabacbbbabbaaac
+aacccccbbcbbaccbbbbb
+abbabcaababccacabbbabbbaacbcccaacbabcbccbbbcccbcbaccbabbbabbac
+baababcccccaacbacbaabbacaababaabbcbcabcccbabbbbaabcaabbbababacbcbcbccbabcbcbbbaaccbacbcabbaacaccbbac
+abbabbcaccbaaaccaccccabacbaaababbbaababbaccbbabcccacabbacbbbbaabcaacacbcababbbabbaabbaccaacabacabcbababcbb
+aaccbcbcaaccbabccbcbcacaccbccbcbacaaabaacbcabcaacccbcbaccbabcbccccabacbcaabaacbbbbabaccbaaacbbccaacbcbcbbbacc
+bbabcabbbbcabbbbcbbabcaccbbababacabbbbaaabaabccbcacbaaabcbcac
+bcccacaacccbbcaaacabcbbaaccccbaaab
+cbbcbbabcbccbcbbcccbcbbacbaa
+bbbcbccccaabaacbcbbcacccccaabacbbcbaaccbaacbbcbaccaccabcbcbabbbccabcbacccbbcacaacbabbaabbcbbacabc
+baaccacbacbbbabaccabcccbabbcbbbccbbcaabcaccaacaaa
+cccbccacccaaaabaaacbcbabbacbbcbacacabbbccbbbbabcacabcb
+cbbbcacabbcaccbbbcbccbccbbabcccbbcbaaabcbccccabccbabaccbcbbc
+bcaabbbccabaccacaaabaacacccaccabcabccbabaabc
+cbccaacababacbabbbaabccbacabaaacacbabcaaabaccbccbacbbccbacacabbacbacb
+acaaacbacabbbabcacbacbbbbacaacaabccbabba
+bacbaabbbcbbbabcabcbbacbc
+aaccaaccbcbcbcaabacabbbacaaabacbbbbccbbbacbcbbbbbcbacbbbbbbacccacabbccaaabaacccabcbabbcaabccbcc
+cbabbbaacbacaaacbcbbababaaaaaccbbabaaababaaababcbbaaacbcbbabababacca
+aacabbbbbbcccaacabbcacbacccabbbacaabcbaabaccaccabcacaaacababbbbcbaabcccbbbbcbabcbccaccbaacbaaabaabbcabaccbba
+bbabcaacbacbbbcabccaabababaabbbbccbacaaaaa
+accccbcbababbcbccbcbaabbaababbabacaacacccbaccbbacccbabacababaabbbbccabbabbabababbc
+bbcaacccbbcaacaabbbaaacbabcaaa
+ccbbacccaccbbcbbbaccbacbaccbbabbc
+aaabcccbbbbaccaaabcaabbcaababbcaacacacbabbabbbacbaccbabcacbcb
+acbcccbbccccaabbccaabacacaababaaabacb
+cbbcbaacbcbaaacbcaabccaabbbacbbcaccc
+caabbbcabbcaaccaacacbcbaaaaaacbbbaabacbbbcbbbbcbbccbbaccccbccaaacbccababacacbacbaabbcbcccbc
+accaacabbaaabababcacbacccabbbabcaaccbccbbcbacaababaacccbacbacaccbbcbabaababaaaabcbabbaac
+cccccbccaacccccaccbabcbcacbccabcaacabbcbcbaaacacbacbccbbaaabcc
+accaccbcaaaccabcabcbbcababccacbacccaabbacbaabbbcccaacbcbccbcabacbbbccababcbaaccabbbabcccbaccbacccc
+aaccacccbcaaacacaaabccbaabcacbcaacabcbcbcbccaaacabbcaacabbaabccbbbbbccbbbaccacacbbcaaabbabcc
+bcacbbbacbcbcabaabbbabaabaccbbabacbbccaaaacbabcbcbcccccbabbbcaaaccbcbacbacbacbacbc
+bccabaacbcabaaacbacbaccbccbcbcacbcacbcbabacaaababaccaccb
+bcaabacbbcbaaaabbbccbccccbacabac
+ccaacaabbababcaccabbaabbaabbcabbbacbbccbcbabbcbaacacbccaabaaacaabcaaabbcba
+bacabbcccbbcbababbccaaabcccbccabcbaacabcbbcbacacbccacbccabc
+bacbcacacbabaabcbbbbccacbacacabaabacbbbcbabacaacabbbaac
+cababccababcacbaccbcccbbcbacaccaacbcc
+ccbaaccbcbbabbcabbbbbbabbcababccabcccbbcacacacb
+cabbabcacbbbbabbcabbabaacccbbbccaaacbbbbc
+bcacaacbbcbaabaccccbacabcbbbaaccaacabcccbbbbaaaaaaabbaacccbbccbacab
+abbacbbcaabbbababbbccaaaacbbbabaacbcaabbcbbacbcacbcc
+acaaccbbaabaabbacabcabccbcccaaaaccacaaaaabba
+cabacbaabccbcabbbcbaabcbaccabbaaabccbcaacabacabaaacbccababccbcccccabcbacabccbbbacbcaaaaccaabaaaacaacbaaaaba
+bccacaccccaacacaabcccbcbaacaacccbccaabccabbbacbacaacbabcbccabcabcbacacbccbbaaaccaccbaaccaacaabbbacac
+baabbbcbcbcbcaabbcb
+80 36
+bababaaaaabaabbababbaabbbbbaababbbbbaaabaaaaabbaabaababaababb
+aaabbbababaaababbbabaabaaaaabbabaabbaababaa
+bbbbbabababbabbbabbbaaaaa
+aabbbaabbabaaabbb
+ababaaaabbababbbabaaaaaabbabbbbbabaaabaaaabbbaabbaabaaabaababbabbaababbababbbaaaaaabaababbbbaab
+aaaaaaabbbbbaaababaabbbaabaabaaabaaaaabbabbbaaababbbaaabbaaabbabbaababbaaaabababaaaaabbbbaaaabbbaaabaab
+baaaaabbbbbabbabbabaaababbbaababaababbaabababbbbbbbaabbbbbbbabbababbbbbbaab
+abaabbaaaabaababbabbaabaababbaa
+abbaaaabbbaaabbabaaababbbbbabaaabaabbbabbbaabaababbbaabbababbb
+bbabbbaaababaaabbabbbbbaabba
+bbbabbbabbbbaabaababbabbbababbbbaaabbbbbb
+baabbbaababbabbbabaabaaabaabbaabbbbabbaabbabababbabbbabbaababaabbbbbbbbabbaaaab
+bbaaabbabbaabbbaabbaa
+abaaaabaababaaaabaabbabbaaaaaabbaaabbaabbababaaabaaaaabaabbbabaababaabaabbabaababaaabb
+bbababaaaabbbababaaaabaaaaaaaabaabbbbaabaaaaaaabababbaaaaaaaabaaaabaaabaabbb
+abbbbbaaaababaabbbbbabaabaaabbabbabbabababbaaaaababbbbabbabaabaaabaaaabbb
+babbaaaabbbbbbbaabbbbaabbaaaabbbaa
+bbaabbaabbbbbababbaaabaabbbbb
+bbbbaababbbbbbbaabbbaaabbab
+baabababbabbabbbbbabaaaabbbbbbbaabaababbbb
+aaabbbbaaabbaa
+bbbbbabaaabaaaaabbabbabababbaaaabbbabbbbbbbbbababaaabbbaabb
+abbaabbbaaaabbabababbbaaabaabbbababbbabaaabbaabbaabbbababbbbaabbabaabbaaa
+abbaabbbabbbbabaababbbabaaaaabaabbbabbbbbbaaaabbbbbbbbababaaaababbbbbbaabbbababb
+bbbaabbbaaababaabaabababbbbbbbababbaaabaabbabbaaaaaaaaaabaaabaab
+abbabbbbbbbbbabbbbabaaabaabb
+aabbabababbabaabbabbbbaaaaababbabbbaaaaababbaaababbbaabbbaabbaabaabbaa
+bbaababaabaaaabaaaaabaabbbbabbbaababbabbbbaabbababaaabaaabbabbbabbbaabbbababbaaabbaaaabaaabbabaaababbbbaba
+babbaaaababaaaba
+baaabaaababbaabababbabaaabaababaabbaabaabbbaabab
+aabbabbaaaaabbaaabbbaaabaaaababaaababbbaabbaabbbbaaaaaaaabaaaaaaaabbabbabbbbaa
+bababaaabbaaababbaaaabbaaabbbbababbbbaaabbbaaabaababbbbaaabbbaba
+aaababbbbabaaabbbaaabaabbaabbaa
+bbaabaabaabbaaabbbabaabbbbbaaaaabaabbaababbbaaabbbaaababbaaabbaaaaaabaaaaabaaaabbbbbaabaaabaabaabbbabababaaa
+bbbbaabbabbbbaaaaababababbababaaabbaaabbbabbababaaaaabababbaabbbbabaabaabbbbaaaabbabbbbbaaaaaaabb
+baaabaabbaaababbbbbaaaababbaabbbabbabaabaaabbabbbaaaabaabbaaababbaaabaabababaabbbbbb
+aaaaabbbbaaaaaaababbaaaaaabbbbbabbbabaaabaabbbbaaababbbbbbaababbbba
+babbabbbabaaabababaaa
+babbbaabbaaaaab
+aaabaaaabbbabaaabababaabbabaaabbaabbbabbbbbabbaaababbbbaaabaabbbbbabaaaabbaaabaabaaaaaabaabbbbbabbaba
+babaaaaababbaabbaabbbaaabbaabaabbbbabbaaababbaaabababbababbbbaaababbababbaa
+aabbabbbbaababaaabaaababab
+babbabbbbbababaabababaaababbaaaaaabbbbaaabbababbaaaabbbababaababaaaaaaaaabbbbbabaaabbbaaaaabb
+aabbbaabbaababbbaaaaabaaabaaaabaababbbabbbaaaaaabaaababbbbbabbbbbabaaaababaaaababbbbbbababbbabb
+bbbbabbbababababaaabababbbbbbaababbbaabbaaabbababbbbaababbbbabbbbabbbbababbabbabbbaaababbbaabababa
+babaabbbaabaabbbabbabbbbbaaaabbbbbbbabbaaababaabba
+bbaababaababbbbbbbabaaabaaaaabaaabbbbaabaaabbbbabababaababaabbaaababbbaabbbababbababbaab
+aabbbabbaabbabbbbbbbbaababbbbabbaaabaabaabbbaaabbbbbbbbbabbabaababaabbbbaabbaabba
+baabbaabbaabababaabbababaabababaaabbaaababaababaabbabababaabbabbbbaaabbbabababbbaaba
+baaabbbabbbababbaabbaaaaaaaaaaaabbbabaaababaaaaabababbabaaabbbbaabaaabbaaaaaaaabaa
+aaababaababababbbabbbbabbbbbbbaaabbabaababbbbbbbaaabbababbaaaabbabaabaaabbabbbbabbbbbababaababbaaaaaabaababab
+aabbbbbbabbabbabbabbabaabbabaaabbbaaaaababbabaabababbaaaaababbbabbababbbbbbaabababb
+baababaaababaaabbaaaaabbbbbaaaababaaaabaabbbabaaaabaaabbaabbbabbaaaababbbbaaaaaabaaabbbbbaabbbaabb
+bababbaabbbaababababaabbbbaaaaababbbbaaabbababbababbabbb
+aabbbbbababbabbabbaabbbabbaaaaaabbbaababaaba
+bbbabaaababbbbbabbabbaaabb
+abbabaaaabaaababababbabaabbaabaaabbbabbaaaaababbbabbababbbbbbaababbabaa
+ababbababbabbbbbabbababaabbaabbbabbaaabbbbbbbbbaaaabbaaabbaabb
+abbaaabbaaaaabbabbaabaa
+abbabbaabbaabbbbbbbaaaaaaababbaa
+abbababbbbbabbaaabbaaabaaaabbb
+baaababbaaababbabbaabbbaaaaababbaabbaaaaabbbaabababbabaaabbbbbabaababaaab
+bbaabaabbaba
+bbabaaaaaabbababbababbbabbababaaababbaaaabbbabbabbabbababbbbaabbaabaabbbbbabbabbaaaa
+aaababbababbaababbababaaaaabbb
+aababbbababaabbbbaaaabbaaabaababababaaa
+aaaaaaabaababaabbaababaaaabaaaabbbbaabbbbbbbabbbbbabbbabaabbabbbbbaaaabaabbbbbbaaabbbaabbbaabaaa
+abbbabaaaaabbaabbababbbbaaa
+aaabaababbabbaabbbbbabaababababbbbbabaabaabbaabbaaaaaaabababbabbbbbaabaaaabbbabbaabaabaababbbb
+baaaaabbaaaaabbaaabbbbbbaaaabbaaababaabbbbabbbabbbaaabbaabbbaabbaabbbbbbababbabababbbb
+babaabbaabbbbbbbbaaaaaabaabbaaabaababaabaaaaaaabbabaabab
+aabbbababaabababbbbabbbbbabaaaaabbaaabbbaabba
+aabbaaababbbabaabbabbbbbabababbaaaaa
+abaaaaabbbababaaabbbbbbbbab
+baaaaaababbabaababbaaaaaaababbbbbabbbaabaaaaabaaabbaaabbbbaaabaaaaaabaab
+ababababababababbbabaaabbbbbbbababaaabaabbabaaabbbbbbbaababbabb
+baaabaaaaaabaabbbaababaa
+bbaaaabaababbbabaaabaababaaaaabbabbabaaaaaaaabaabbabbbababbb
+abbabbbbbaabbababaabbaabbbabbaabba
+babbaaababbbabaabbabbabbabaabababaaaaaaabaaaaaa
+247 90
+babbbabababbbbabb
+bababbabbbabbbbbbbbaaabbaaaaabbbbaaabbbbabbababaa
+abbaaaabaabababaabbbaabbbabbbbaabaaabaabbabbabaabaaabbbabaaabbbbabababaababaaaabbaaab
+baabbaabbbbbbaabaaaababbbaaaabaaabaaaaabbbbabbaababbaaaaabaaaabbbbabbaabbaabbbbbabbbbbabaaaaaaababa
+bbbaaabbbbbababbaabbaababababba
+ababababbbbabababbaaabaaabbbbaaabbbaaaaabbaaabaaabbabbbbabbbbbbaabaaaabbaaabaab
+abaaaabababaaababbbabbbabababaaaaabaabbbbaaaabaaaaabbbbabbabbbbabbaabbbbaabbabbbabaa
+aaabbaaabbbaabababbbbabbbababababbabaabaaaaabbabbabbaababaaabbbabbbabaaabaaabbbbaaaababbaabaababbaaaabb
+babbaaabaaaaabbabaabbbbaaaaaa
+abaaabaabbbbbabbbbaabbbabbaaabbaaaababaaaaaab
+abbaaaaabbaaaaabbbbaaaabaabbbaaabbaaaaabbabbbabababababbabbaaabbbabbabbbbabbababbbaaaabaabaaabbbabb
+bbaaaababaaaaababaaabaabaaaabbaaabbaaabbbabbbbbaaaabbaaaaaabbabaabbababab
+baaabababaabababbbabaabbbbabaaabaaabbbbbaaaabaaaaaaaababbbbbbbbbbbaabaabb
+aaaabaababbbbaabbbbbabbbbbabbaaaabbaabaababbabbbbbabbaabbbbabaaabababababbbaabaa
+bbababbbabbababaababbaaaabbaaaabbaabbba
+abaabbaabbaaaabbabaa
+bbaabbbaaaaababbaaaabbaaabbabbabbaabaabaabaabbbaababaaabbbbbaabaaababbabbbbbbbbbbbabaabbaaaa
+aabbabbbaabaaabbbababbababbababbabaaaaabaabbbbaabbbbaabbbbbaabbabbbabaabbabbbbb
+aabbbbbaaaabababaabaabababaabbabaabbbabbbaabbaa
+baabbbababaabbbaababa
+bbbbbbbaababbbbaaaabbbababaabaabbaabbabbabbaabbbabbaaaababbaabaabbbbabbbbaabaaababaabaab
+baaabbababbaaa
+bbbbaabaaaaabababbaabababbaaaabaabbabbaaabbbbabbabbaaababaabbbabbabaabaabb
+bbaababbaaabbbaaabb
+babbabbbbbbaabaabbbbaabbbaaaaaabbabbaabaa
+ababbbbbbbbaaabbaaaaaaaababaaabbaaaababbbaabaabbabbbaabbbbabbaaababaabaaaa
+bbbbbaabbbababaabbaaabbbabbbaaababbbaabbabbbbabbbb
+aaaaabbabbbaabaabababaabaabaaababaabbbaaaabbabbbbbbbabaabbabaaaabbbaababbbaabbaabababbaaaa
+abaabbabbbaabbabbbbbbbbaabbabbbaabbabbaaaabababbaabbbbabaaaabbbaaababbaaaabbabbabaaaabaabbabbaabaabbba
+baabaabababaabaabababbaabaaaababbbbbabaabaababbbabaaaababaabbbbaabababbbaaaaaba
+babbbaaaabbbaabbabababbabbbbbabbababbaabaaabbbbbaaabaaabaaabbbabbbaababaaabbbababaabaaaaa
+aabaabbaabbaabbbbaaaaaabbaaabababbbaaababaaabbababaaaabbababaabaabaaabbbababbaabb
+aababaaabbbbbbabbaabbbababaaaabbbbbabaaabbbbaaabbbabaabaaabbbbababbbbbbbbabaabbbbbaababbaaaabbbbbabbabaaaabba
+ababababbbb
+bbaaaabaaabababbbabbbbaabbbaaabbaabbaabaabaaaabababaabbbabbaaaaaabbababbbb
+abaaabaaaaabbbbaaab
+bbbaabaababbaaabaabbaaababaaabbbaababaaaabbbababaaabaabbaaabbaaabbbaaaaababababaaaababbbba
+abbaabaaaabbababbabbbabaaabaaaaababaabbba
+aaabbababaaaaabbbbbbabbbabbbbaabaabbbaaabbbabbbbaabbbaaabbb
+abbbababbaababbbabbabbbbabbaabbab
+abaabbbbbaabaaaababbbbaababbaabaaaaaabbbabaaaaababbbbabbaabababb
+bbbabbbaaaaaabaabaa
+abbabbabbabbabaabaaaaaa
+aaababbabbbbabbaaabaaaaaaababbabbabbb
+baaabaaaaaaabbbaabababbbbbbaaaaabbabbbaababbbbbbbaaaaaabbbbaabaabaaaaabaaaabaababbbaab
+aaabbbbbbaabbaabbbaabbaaabbbbaaaabaababbabbaabababbaaababbbabbabbbabbbabababababaaaaaabaaabaabbabbbbabbaa
+bbbbbabaabbaaabbbbbbaabababaabbbababb
+babbbbbbabbabaaaaababaaaaabbbaabaaaaaabbaababaaaaababababaabbbbbbabbbbbaababaaaaaabaaaabbaabbaaabbbaaabaaa
+abbbbbaaaabaaabbaababaaaabaaabbbaaabbba
+aabaaaaabababbbababbaaaabaababbbabbaaababaabbabaaabbbaaaaaababbaabababbbbabaaba
+bbbabbbbbabbaaabbaaabababbabbabbbbab
+abababbbabababaaaabaaaabbaaaababaaaabbaaababaaabaaaaaaababaababaaaaaaaabaabaababb
+bbbbababbaabbbbbabbbbbbaabbbababaababbaabbab
+aaabbbbabaaaaabbbaaaaabbbaaaaaaaabaabbaaababaaaabaabbbbbbaababbbbbbabbabbbaabbababbbaba
+abbaaabbabaaaaa
+bbbbbbbaabbbbababbbaaabaaaabbbaababbbabababbaababbbabaaababbbbabbbabaabaababbbbbbabaaabbaaaabaaa
+ababbaaabbaabaaaaabbbababbbaaaaabaaabbaaabbbabbbbabb
+babbbbabbbaabbbbbbabaabaabbbbababaabbbbaabbbaabbababbaababaaaaabbab
+baaaabbbbbbbabbabbbbbaaaaababbabaabbbb
+aababbbaaabaabaaabbabaabaabaaaaaaabbbabbaaabbabbbbbabaabaaabbbabbbaaaababbaabaaaabbbaabaaabbbabaabbab
+babbbaaaaaaabbababbbaabbaaaaabaabababbaabbaabbbaabbabababababbbbbbabbbbabbaaabababbbbbabbbabb
+bbababbbbabaabbbbba
+babbaaabbbaaaaabaabaaaaabaaababbbabbbabaabbbaaaaaaabbabbbbbaabbaabaaabaaabbbbbabbbbaaabaabbaabababaaababababa
+aaaaabbbabbabbaabb
+bbabaabbabbaaabababbbaabbbbababbbbbabaabbbaaabbabbbb
+baaaabaababaabbbabaaaabbaaababaababbabbbbaaaaaaababbbaabbaaabababbbaaaaaababbabaaabbabaaaabbbbaaaabb
+abaaaaabbabababbbbbbabbbaabaaaaaaaaabbbaab
+abaaaabaaaaaabbbaaabbaaaabbbbbaaabbabaabaabaaaababbababbabbaaaabbbabbbaaaabaaaabbabbbaababaaaabbbbbaabaaabb
+abbbabaabbabbabbabbabbbaababbabaaabbabbaabbabbbbabbbabbbaabbbbbbbbbabbaabb
+babbbaaabababaaaaabaaaaabbbbbaabaabaabbbabbbbbbbaabbaabababab
+abaababbaabaabababbbabaabbbbbbababbababb
+abbabbabbbaa
+bbaaabaabbabbaabbaaba
+abbabaaabaaaabbbbaabbbabbaaaaaaababb
+baaababbabbbbbaaaabaaaabababaaababbaaaababbabababaaabbbbbaaaabbbbbbaaababaabbbabaabbbbaab
+aaabbaaabbabbaabbbbbbabbabbaaaababbbb
+bbbababbabababbbabbbabaabaababaaababbabbaabbabababbbaaabbababaababaaababaabbaabbbbabaabbaababbbababba
+ababbabbaaabbabbbabbabaababaababbaabbabababaaababbaabbbaabbabbbabaabaaaa
+ababababbbbbaabbabbbaabbbaabaabaaabbabaaabaabaabbaabbbbbbababbababbbbbaaabbbbbbabaabb
+baabbaaaabbbaaababbbbbbaabbbabbbbabbbbbbaabbabbbabbaabbabbaabbaabbbbbabaabbabbbabababbbbbaabbaaa
+abaaabbaabbabbababbabaabaabaaabbbbbababbababaabbaababbbaaabababbaabbbbabaabbab
+ababaaaabbababbbbbaaaaabbbabbaaaabaabbaabbababaababbabababbbbbbbbaabbaaabbaaabbbababbbaab
+bbbbbabbaaaabbaabaababababbaaaaabbaabbbbabbaababbbaaab
+aabbababbababbbaabaababbbbabbbbabaabaabaaababbabbbbbbaabbaaababaababaabbabbbaaabbaaabbbbbabbbaabbabab
+bbbaabbbbabaabbaaaaabbabaaabbaaaabbbbabbaabbbaabaaaaaa
+ababbaabaaabaabbaaabbabbbbbaaaabaaaaabaabbbbababbaabaaababaaab
+abaabbbbbababbaabaaaabaababaaabababaaaababbbbaababababaaaaabbaaababaababaabbabbbabaaabbbaaaabbabb
+aababaabbbabaaaba
+abbbaaababbbbbaaaabbabaaabaabbbabaaaaabbabaaabbbabababbabbaaaaa
+abbaabbbbabaabaaaabbbbbbbbbabbabbbbaaaababbbabbbaabbbbbabbbbb
+baaababbbaabbbabbaaabaaaabaaabab
+babaaababaabaabbaaabaabbaaaaaabaabbaabbabababbaabaaabbbbabbbaaaabaaababbbaaabaaba
+aaabaaaaabbaaababbbaabbbbbaaaabbabaaaababbaa
+aaabbabbbaabbaababababbababaaaaabbbbbbaababbabbaababbaabbaabaabaa
+abbaabbabaaabaaaabbabbabbababbabbbbbbbaabbbaabbabbbbababbbbaaababbabbabbabbbbaaaabbbaababbabbbbbbbabbaaabb
+abbbaaaabaabaabbbbbaabbababaabbaabaabaabbaaabbaabababbbbaaabbbbaabaabbbb
+abbbababbabbabaaaababbaaabbabbababbbbabaaab
+bbabaababbbaabaabaabbbababaababaabbbaaaaaabaaaaaabaaabababbbaaabbaababaaabaaabbaabbbbbbabbabaabbbaababba
+bbbabbbbabbbaaaba
+aaabaababbababaabbaaaaaabbbaaabaabbbabbabaababaababbabababbabb
+aababaababbababbbbabaaaabbabababbabbabaabbbaababbbbbbabaaabbaababaabbabababbaabbbaabbbb
+aabbbaabbaabbabbaaaaabbbaabbaaaaabbaaabbababababbaab
+babaabbbabbabbaaaababaabababbaabaabaaabbbbabbbb
+ababaababbaabbaabaaababbababbabbabbaabbbaababba
+bbaabaaaaabbaa
+aaaababbabbbbaaabbbbbbaabbabbaabbbaababaaabaabbbbaaaabbaaabaabbbaabababbaaaababbbaabaabbaabbbbbbabaaaab
+abaaababbaaaaabaaaababababbabababaaaabbbbbabbbbaaaaabbabbbaaaaaabaabbaabb
+aababaabbabaabaaabaaaabaaaabaaababaabbaaabbbbaaaaaaaaaabbbbabaabbaababaabaabbaabaaaaaa
+bbbaabbaaaaabbbbbaabbbbbaabbbabbaaaba
+aabbbbbbaabbabbbabababaaaabbabbbbbabbbaabbaaabbabbabbbabbaaaabbababbbbb
+abbbaabbabbaabaabaaaababbbbaaabababbbbbbabbabbabaabaaaababaaababaaa
+bbbbbbbbaaaababbbaaabababaaabaaabbaaabaaaaabbbbabbbaabaaabaaabaabbaabbbbbbabbababbbbbababaaabaaba
+bbbbbbbbbabaabbbbbabbabaaabbaaabaaababababbbbbbabbaaaabbababaabbabababaaaaabbabaabaabbbaaabb
+abaaaaaabbabaaabababaabaabbbabbaabbbabaabbbbbbbbaaba
+abbbbbbbaaabbaabbabbaaabbabbbaabbbbbbbbaabbabaabaabbaba
+bababababaaaabbbbbbbabaaaabbbababaaabbbbbbbaabb
+aaaaababbbbaaabaaabaabbb
+abbaabbabb
+ababbabaabbabbaaaaaaabaaaaa
+abbbbbaaaababbaaaaaabbbbaaabaaaaabbbaaaaaaabbabbbabaabbabbaaabbbabbaabaaaabbbbbba
+bbabbbabbabbbabbbabbaabaabbbababbbbbabaabbabaabaaabaaababbbbaaabbbaaaabaababbbbaabaa
+baababbaabbbaabbaaaabbaaaabaaababbbbababaaabbbbbabaabaaababbbabbbbbbabaababbbaabbaabb
+baabbabaaaaaaabababaabbbbbaabbaabaabbaabbbbb
+aaabbbaabababababbbaabbbbbaababbbaaaaababbbaabaaaaaaabaabbbbaba
+bbbbbbaaaabbbb
+abbabababbaabbababbababbbbbbbbbbabbaaaabbbaabaaababbabbbabaabaabaaaa
+aababbbbabbbaaabbaaababbaabaabaabbabbaaababaabaabb
+bbabaaababbbabbbaaaabbbbaaababbaaabaaaaaaabbababaabbaabbabbaaabaabbbbaaaababababaabaaababbbabbbbbbabbaa
+ababbabababbaaaaaaaaaabaabbbabbbbbbbabaaaabaa
+bbaabbaaaabbabbbabbababababbbbbbbaaabbabbabaababababaaabbbaaaaaaabbbaabaaababb
+bbabbbbbbabaabbbbabbaaaabaaaabaabaabbaaaab
+babbbabaabbabababababbaaaababbabaab
+babbbabbbabbbbabaabaabaaabbbbbbbbaabababbaaaaaaaabbabbbbbbaaaabaabbbaabbaaabbabaaaababbb
+aababaaaabaaabaabbabbabbbbaabababaabbaaaaab
+abbaaaaababbbbabbaaaba
+ababaaabaaaabbbaabbababbbabaaabaaaaaabbaaabbbbbbbbaabbbbaaaaabbbabbabbaabbbabbaaabaabbbbabbaabaaaabbabaaaaba
+babbabbabaaabaaaabbbbbaaaaaaaaabbbabbbbbaabaababbaaaab
+babaaabbaabaaababbbbbbbaababaaaababbbaabbabaababbbbabbbbbbbababaabaabb
+abbabbbaaababaababbabbbabbabbabaabababbbbaabaabaaabaabbabbaaabbaabbbbaaabbabbaabaaab
+bbaaabaabbaabaabbbabaaaababab
+ababbbaabbaabaabaababaaaba
+aaababbabbbaabbaabbbbbbbabaaaabbabbbbabbabaaaaabaabbabaaaaabaaaabbbbabaaabbbbbabbbaaab
+bbababaaaaaabbaaaabb
+babbbbbbabbbbababbbbaaaab
+aabbabbbaaaaabbaaabaabababbaaaabaababbaab
+aaaaaababaaabbaabbaaaababbbaaaabbbabaabbaaabbaaaaabbabababbabbbaabbbaaababaaabaaaaababaababbbbababbaa
+babbaaaabbbaba
+ababbbbbbbbbbabbabbbbaaaabaaabbbbabbbbbbaaabbbbbbbaabbbbaaabaaaabbabbabbbbb
+aaabbaaaabaaabbabbbbabbabbaaabba
+bbabbabbaababaabbababababaaabbbababaaaaaaaaabaaabbbabaabbabbbaababbbbb
+abbbaabaabaabaaaabbbbbba
+aababababbbbaaaabaababaabbbaabbaaaaabaaaabbaaaabbbbbaabbaabababbbaaababababbbbbbbbbaabbbbaaabbabaab
+babaaababab
+babaaabbbbbabaaabababbbbababaaaabbaaaababababbb
+abaaaabbabababbaaabaababaababababbaaabbaababbbbbaaabaaba
+bbbabbbaaabbbbabbbaaaaababbabbabaabbbbbaaaabaaabbbabbbabbabaaabbbabb
+babaabbbabbbababbbbaabaabaabbbbaabbaaabbbabbaaaaabaabaaabbbaab
+abbababbabaaabaaabbbabaaaaaaabaabaabaaaabaabbaaaaaaabbaaaaabbaaabbbbaaabbababaabbaaaaaabb
+baaaaabbbbbbabbbaabbabbaaaabaaaabbbbbbb
+aabaabbaabbbbaaababaabbbabbbbbbbbaaabbbaabbbaaa
+abaababbaababbbbbabaaabbbabab
+abbbbbaaabaabbabaaaabbababaaabaababbaababbaaabbabaaaaabababbb
+bbabbbaabbbabababbabbabaaaaabbaabaaaaa
+bbbababbbbaabaababbababbbbbbbabaabb
+babbabbaaaabbaab
+aabaabbbbababbbabbbabbababaa
+aaabaaabaabbbbababbbbbabbaabbaabbbbabbbbbaababbbbab
+bbbabbbbaabbbababaaabaabbaaababa
+bbbabababaaaababaabbaaabaabababaaabbabbbbbaaaaa
+bbabbbbbaabbbabbaababaaaab
+ababaabbbabbbbbbabaaaabbababaaaaabbbbbabaaabbaababaa
+abbabaaaabbaaabababbaaaaaabaabbaaabbbbbbb
+bbabaaaaaabbbaaabbababbaaabbbaaabbabaabaabb
+baabaabaaaab
+abbbbbbaaaabaababbaabaabaaaaabbaababababbbbaabaaaaabbbbabbabbabbaabbbbbaab
+abbbbaabaaabaaaababbaababbbbababbaaaaabbbbbbabbaababbaaaaaaabaabbaaabbbab
+ababbaababbabaaabbbbbabaaaabaaabbaaabaaababaabaa
+baabbaabbaaabaaabbbaaabaabbabbbaabababababb
+bbabaaabbaaaabbbaaaaababbbabaaabababbababbaababbaaaaabbaaaababbbba
+bbabaabaababbbbabbbabaabbbabba
+aaaabbabbabbabbababbbbbbaabababbbbaabababaaabaaabaaabbbbbabbabbaabaabbab
+babbbbabaabbababbaaab
+babbabbbbbbaaabbabaaabbabbbbabaaaababbabbbaabbbabababbaaabbababaaaabaabbab
+babababaaaabbaababaabbaaabbbbababbabaabbbbbaabbaabbbbbaaaaabaaaabbbabbbaabba
+bbabaaaabbabbbaabbaabbaaabbbbbaabaabbbababbaaabbab
+bbbaabbbbaaaaaaaaabbbbbbbbabbbaaaaba
+aaaabbbaababbbaabaaabaab
+baaaabbbaaaaabbaabaabbaabbbbaaaaabaabbbaabbabaaaaa
+aaabbabababababaabbabbbaaaba
+baaaabababbbababababb
+abbaabaabbabbabbbaababaaaabababbbbaaabbbbaaaabaaabbbabbbbbbbbbbbaaabaa
+aabbbabbabbaaababba
+abbabaabbabaabaaaaaabbaaaa
+bbbbbaaaaabaaaabbababbabbbbaabbbaabbbbbaaaabbbbaaabababbbbaaaaaaababbabababbabbaabbbaaaab
+bbaabbababbaabbbaabbaababbbabbaaabbaabaabbabbaabbaabbababbbbabbbabaaabbbaaabaaaabbbba
+bbbbbabaabbabba
+abbaaabbababbbbababaabbaaababbbbaabbaaabbaaabbaaababbabbbbbababbbbaabaababaabbbababbbbbbbabbbbbbbb
+babbbabababbaaabaaaaabbbbbaaaaabbbaabababaabbbaabbabbabbbbaaabbbababbbabaabbbaaaabaaaba
+abbbabbbbabaabaababbbbbbaaabbbaaabbbabbbbbabbbabbbbababaaabababbbbbbbaaabbabbabba
+aababbabbaaabbaaaabbbbaaababababbabaaabbaabbaabbabaaaaabbbaabaabbbabbabbababbbbbabbaabbbbbbbabbbbb
+aaabaababaababbabbaabbbbbabbbbabbbaaaabbaabbabaabaaabbaaaabbaaaaabbbababbaabbabbababababaabbbaaabbabaaaabaa
+bbbaabbaaabbbabbabaab
+abaaaabaabababbaaabbbbaaaaaabaababaaaabaaaabaabaaaabbbaababaaaaaabaabbbbabbabbbbbbababaaaabbba
+aabbbabbbababbaabbba
+baabbbaababbbbbbbbaaabaabbbabaababbaabbbbbbaaaaabaabaabbbaaaaba
+abbababaabbaaaaaabbaaabbbaaabababbbababbababbbbaaabaabba
+abababbbaabbbaaabaaababbaabababaaaaaaaaaaabbabaaabbabbbbbbabbabb
+abbaaabaabbaabaaabaaaaabbaabbbabbbaabbaabababbaababaaaabbaabababababaaaabbbabaabbabbbab
+bbaaaaaababbababaabaaabbaaababbabaabababa
+baaabbabbabbaaaabbabbabbaaaaabbbbbaaaaaababbababbababbbbabababbab
+abaabaaabaaabbaaababaaaaaaaaaaaaabaabaaabbbbbbbabaaababbaaaabbaaaaabaaaaababbaababbbabbbaaaabbaaabaabbabb
+babbbbbaaababbbbbbaa
+abbaaabaaabbaaaababa
+abbaaabbaababababbbbbbbbbbabbaaaabbaabbabaaaabbbbaaaaabbabaabbabababa
+babaaaabbabababaaaabbbbbabaaabbbbbbbbabaabbabaabbabaabbbaabbaaabbbbbbababbaaaaabbbbbabbbbaaaabbababaabb
+bbbbbaabbbbbab
+aabbaaaabaaaaabaaabbbaaabaaaabbaaaaaaabaabaababbbabbabbabbabbaaabaaaaaaaabaaaaaaaabaaabb
+abbbbbaabaaabbbababaaaaabbabbbbabaabbbbabaabbbbabaababaabaaabbbabababbaaaababaabaabbabaabaabbabab
+bbaaaaaaaaaaaabbbbaababbaaababbbbababaaaabaaaaaabaabbaaaaaabbbaaabaaabbbaabbaabbaabbbaaaababbbaa
+abaabbbabbbbbaa
+bababbaaaababaaabbaabbbbbbbabaabbabbbaabbbaaaababbabababbabbababbaab
+aaaaabbbaabaabaaabbabaabababbabaabbaa
+aaabbbbabaaabbabbbaabaababbabababbaabbbbbaabaaaa
+baababbbaabbabbaaababababbbbbaabbabbabaaaaaabbbbabbbbabbaa
+aabaabbbaaaaaabaaabbaabbbaabaabbaaabbabaaabbaaabaaaaaabbbbbbabbabaabbaabbbaaaabaaabaaaaabbbbaa
+aaaaabbaaaaabbabbabbaabbaabaaabbaaaabaaabaaaaaababbaababbbbbabbbbaabaaabbaabaaaabaababa
+abbaababbbaabbbaabab
+abaabaababaababbababbbabbbaaaaababaaaaaababababbababaaaaabbbbabbbbabbaaab
+bbaaaaaababaabbaabbaabbbbbabbbbbbaaabaabaaaaabaaaabbababbbbbaaaaabaababababbbbabbababb
+bbabaababbbbabbaaaabbabbaabbbabaaababbabbabbabbababbabbbaababaabbabbbabaababbbbbbbaababbbabbabaabb
+abbaaabaabbabbaaaaabbbbbabbaaabbbbaaababaabbbbaaabbbbabbaabaaababbbbabaaaaabbababbabbba
+bbbabbbbabaaaabaaabbbaaababababbbaababb
+abbaabbbabbbbabbbbbbbbbabbbbabbbaababbbaabbbababaabbbabaaaabbaaa
+aabaabbbbbbbbbbbbbbaabababaabaaaababbbaaabbabbbabaabaaabbababbaabbababbbabb
+ababaaaabbbaaaaabaaaaaabbbbabbbababaabaaaaabbbabababbbababaaaabababaabbbbbabaaabbbbbaaaaaab
+baabbbaabbbbbaabbababaaabbbababbaaababaabaababbaaabba
+abbbabbbbabaabbabbbbbabbbb
+babaabaaababbba
+aabaaaabbbbbaaabbabaaaabbbaabbabaaaabbbbaaaaaa
+abbbbaaaaabbbaaaaabaaabbaaabbbabbaaabbbabaaabbbaababababbaaaabaabababababbbbabaaaabbbbbabaaa
+aaaabaaaaaaabaaaaaababababbabba
+aabbabbbbaabbbbbbaaabbbababaaaaabbababababbbaababbbaabaabbbababaaababaaaaaaababaaaabbabbbabbaa
+aaabaabaaaaababaaababbaababbbababbabaaabbaaabaabbbabbabaabbababbaababbbbaaabaababbbabbb
+ababbabbbababbaaaababaaababaababbbaaabbabababbaaabbbaabbaabbababaabaababaaabbbabbbabbbabbaa
+baaabaaaabaaaabbbbbabbbabbaaaabbbabbabbaaabaabaaababaabbaaabaaabbbaaabbbababbbabbbabab
+aabbabbbaabbabaaabababbaabbbaaabbbaababaaabaaabbbbabbbababbbbbbaaaababbbaababbbabbabaaaaabbaabaaabbba
+baaaabaaaaabba
+194 144
+aabbccabcccabbbccccabcbabcacbabacaacbccaab
+accbbbabcbcbcabaccbcacacacbbccbacabbacbbabbcbaacabaaacbbbabcbaabcaabcbbbacccaabcacacaabbcababbbabcaa
+cbcbcccaacbababccabaccbbbbcaaccbabaccaacccbbcbbacbbbbacabbcbaaacaccacbacacabbbcacabbcaabbaccaacacccacacccbbb
+bcaaaabbabaccbabcbcbcaacacababacbbabaccbacabbcaaaacbcccacaabcbaabccacbbaacacbaab
+abbbaccabaaababccacacbcaaccaaccbaccccbbbbbaababacaacbaaccaaaacccbcaaccbccaabccaa
+aaabbacbababcbbcbbcbacbbaccaacacacccbcaacbbccbbabbbbbacaabaaacacbbcabbcbbcc
+ccbcbaacabccaaabbcaaacacccaaacaaacbcabbbaaacaccaccaacacaabaaabccbbcccaccbbbbbccbbbbbccbaaaabc
+ababcbabbabacabbacbbabbcacaccacaabcacabbccbbcbcbaabaccbbbcaaabbabbacaaccacbaacabaccbaccccaccbcabbcc
+ccbaaabaacacbbccbacbccbbbacacaacaacabccabbabbacacacccbcabcacaabbabbacaa
+cbaaacccbbbbaacabacbcbaabaababcccccbcbbbcccbcbacccbbbbcaabbbaabccaababcbbacaaaaabcaabbcbabbcaabaaca
+bcabababcccaaacccc
+baccbccccaaababbcbccbaccabbaccbcbaacccaaaccabcbbcbaacbcbababaacbcbaccbcbbacbbcaaaaabbbaaaccccbcaabbbb
+ccacaccaaaccabbabbacbacccccccaccabcbabcaaacaccbcaaccaccccaaccabaabcacaacacbcbccabcacbbbbbbbaaabbcbaacccaa
+aacccaaacbccbacbbbcbababcccbcbcbcbbbbbbbcabcabbccaacbaaabbacacabcabca
+caabbacbbcacacabaaccbbbabbccbacccaabaaccbccabcacbacaabcaaaacb
+cbabaccabaaabcbbcccacbaccaacaaccaaabcbbbbaaacbbbacbababcbbbacbbcbbbccbbbaabbcbbacac
+cabbbaabaacbbbbccabbaccaacbbabcccaccccccccbabbbcbcccbaccba
+bcbcacbbcabbcccccbbbbaababcccaccabaccbabcacbcaacccccccc
+cbccbcccacbcccccacbabaabcbacabbccabacacbbccbcbbcbcaba
+cbcbabaccbbbbacccc
+bcccccaaccbabcccbcacaccbbccabacacbbcaabaccccbbacccacaaabbbcbbbbaaacabcbabbacbcaabcaabcabcbbcacc
+ccccbcbabbbacbaccbbccccccabaacbcbcbabbabcaabacccaababcabbccacacbcccbbbcabcbbcbcbbcbc
+cccccbbacacaaccbaabcabababacbcbbcaccacacbcbbbcaaabaaacabbacbbcccaabbabc
+acccbbbccbbbaabbbbcbbacbbbaaccbccacbaaabbbaccbbcaacacaaaacabaabcbabcbcaabcababbacbabbcccacacababba
+bcabcaabcabbacabc
+abaabcaacabbababcaaccacbbbabbcabcccbcccbabcacacaacacaacbbacbbacbcccabcabbccbccccabacbbbcaabbaaabbbbbcc
+acaacacabacaaccacaaacaabbcbba
+acbacabbcbbbababbbbacbccaabbababccbcabbccbaabbbaaabba
+cbacbacbaaabcbaaabcbaccbccacaaababaacbccbbcbcccaabbccbcabacacabbacabcaaabaa
+cbaabaabccababaacabac
+baabcaccccacaabcaacabcbbbacaacacccbbabbcbaaccbbccaaabaabcbbacabaababaccaaccbaabcbacb
+cbabbcbbcbaccbabaaaababccaacbacabbcaaccaaccaaaaacbaabcaacababbcbb
+cbcccaabacbbabbbcaaaabbacccbabbbaabaacabaaaabaaccabbcccbbbaabaabcbabcaabbbcbcabbbbacabbbaccaac
+acbbacbccbcaccaabccbcbbaccabcabaccccabbcbcacaaac
+baccbbbbabbbacbbbbbcbbaccccbabbbbabbbacbbbccbbabbcbaacacaaabcaccbabbcacaacccaaabaabbbaaaccbbccccbcbacaa
+bccbacbabcaacabcbcbcbccabccbabccaccacbbcbbaabbacbbabcbabacbbbcbaababbccbabb
+aaacbaabbbcbbcbb
+baaababcbcbcabcbabcaaabccaaba
+acbcaaaaacccbcbbbacacccccaabcbaabcabababbabacaacbacacbcacbcbbac
+bbbccbbabbbabbbbccbabaccaaaabccca
+aaabcbababccbbbbbbcaabaabacaacaaacaabcbccbcbccacabcbccaabbabacbbbbbbaacbccbbccaccababccccbcacaabbbaacabac
+bbbcbcccbbbcbacbcccbcbaaaaaabbabbccaacbcacbb
+aaabccbabcccbcbaaabababcaccbcbacbacabbccbccbccbbaccbcaaaccaaa
+bacbbbbccbaccbbbaabaabccababbc
+cccababacbcbabaacabcbbbbcaaccbcaccabaacabcababbbbcaba
+bbcacabacacabcbacaaacabacbcacbabaabaaacaccabbcaabbcbabacb
+cccabbcbaabcbaaacbbbcaccaaaccbabacaabbbccbcbcaabcabaabbbcbccaccccaccbaaaccacbaabababaababbccaaaccbaabacabbacb
+cabbabcabaccabaaaacabbacbacbbcabcaabcbbabaabbabcccbbccbbaaaaabcccabbaaab
+acbabacabcbcbabcabcbcc
+bacccccccacaabcbaacbabbcaababba
+caaaacccbabababccbacabcabbcbccaacbaccccabbbbcccacccccbacbcaaaaac
+bbbccabcaaaccaabcbaacbabaacbcbabaaccbbac
+acacccacaaaababbaaabcbbccbacabaccaacacbbabcbacbaabbacacb
+aacaabbbaccbaababbcc
+acccbacbacbabaaaaaccaababbbabccbc
+ccabbacbcbaabbbcbbbaaabaabaabcccbcbbacbba
+baacbbaaacacacaccaacbbcbcbcaacbbaabcaaaabcabcaacbcbbabaaccabccabbabbcbacb
+abbbcbbaabccbacbaabbbbbbcabbbcbccccaaaaaaaabaccbaaacbacaacacc
+ccccaccbabcbbbcbcbbccbaccaccbcacaaccbbcacbaacccbcabbbaabcccbcbcabbbaccbbcbaca
+bcabaaaacbbaaaccabaaabacabacacaccaba
+accbcbcabaaccacbbacccaabaacacaabaccaababbaacbbabacbabbaaabcbbbacbaaaccbabbbcc
+abccbacbabcabbacbbcccaccbcbbbcbbbcaaabcbcbaccbbabcbcbccaccacccbbababacbacaccbacbbaacbabbabbcaa
+bcaacbbbbbbbcbbbcaabbbaabacbcbbcaabcabcccccabacabbbbabaaabaccbcccbcccaaccbbaaa
+abbaccaaaaaacbcbaaaccccabcccabbbccaacbbbacbcccacaccbcabcbcacaacccbbccacbaccbcbcbcccbcbcbaaacabcaccbcbbcc
+bacbbaccacbaacbaacaaabcbaacbbcbcccbbbcabaababccacaaacacabbcbccaccbbacabcbaacabbbcbabbc
+abcbcccaacbcaabcbabbacbbacaaccaacbabbaabacbcc
+cacbabaaacaabaacccbaabaaabbcaacacbcbacaccbbacbcbababcbacababbababaaacbabbacbbaca
+bbcaabbcaaabbcaccbcabbacaaacbbccbacbbacabbabbbcbaac
+abacbaabcaaabcabcbccbbbccccacbcbaabcbcccb
+bcccbabcbacaaaaabbbaabbacbbaaccca
+abcccaaacacbccbacacbabbabacacaacbbaacbcacbaccacbacbaacaaaccacbaababaccbbcaaaaacacbbababcaccccbbaacbcbb
+bacaaccabacccacacbcbbbbabbabbcaababaacaabcbabbcaabccababbccaacacbbbcabbcabaccacaacbabacccbbcbbcbcbcccbaabbc
+bcacbaccbbcbbbaabbbacaaaaabcaccaaaabbcababbbbababcccbacbcbbc
+cacbbcabbcac
+aabaccacbbcaaabba
+bcaccccbbbcaababacbabacbca
+cabccbacbcccbcccbccbabbcbcccbaaaaccccccbbbacbbbbbbabbccabcabacaabcbaacabacacbacbaacbcbacaabbbbaaacabaacab
+ccbacacccaabaaabaabababcabbcaaccccbbbcaccbcbbaabcacabaabcbaacabbabcacac
+ccbcbabbbcaabaaaaccccacabcccbbbacabbaaccccbcbc
+ccabaccabbbccbccaccacbbabcbcaaccbbbbabbbacacbbcbbabbbacccaacabbcabcbcbaabaacbbccbbcbcacccabbbacbccbcabcabbabc
+acbabccabaabbc
+baaabcaaabaabcbcbbaccaabbcaccbacbaabaacbcccaabaabacbbcb
+cabcabacbbbbcabbacabaabbccbcbccbbaabcaccccccbabacbaacbcbaaccbbcacccc
+bbbacbcaccbbcaaabc
+aaaccacaacbcababbacaccbcbabcaaaabacccabaababaccbbcacababaaababcacbbccbaaabcababaa
+ccacbaabbaabbacbacac
+acbacaacbacbccaaaabbaccbcabacbcabbaacacbaaacabcacbcabbbabbbaabcbacbcacaccabbbac
+bbaaaaabaabcbbbcabbcbbbcbabababbaccbbccaaababaabaccbacaaaacbabaaababcabababcab
+bbacccccacabcccbbacacbbbbbbccbcbababaacccbcacaaabbcacaabacbabcaaaacbbcbcabaaccabbbbacababb
+aabbbabacbacabaabbabaabccbbabccabbccccbcacbccbcaccccbc
+bbaacaacbccbcbabbccccabbccccaccccaabaaccccbcbccabacabacbbcbacacccaabbcacbaacccbbabcccccabbbabcbcacbcbbcbc
+baabcbbcbccbacacabaabaabccaccababbbccabbbcb
+ccbcbabcccbbbbcbccbbccaabbcaacaaaaabbcaacbabbbbcaacbacbcbba
+acbaabbcacacbbabacabbaaacaabacacaabccacacbbabbbbcccbbbcabbbbcbbbcbcabbacabcbabbabbaaac
+cabcbabbbbcaaba
+acccbcabbcbaaaaccaabcbbbbcabaabbbaaaaabcbcbacabc
+bcacbbbabbabcbacaccabacccabbcaacacacbcabbaabcaaaaaaabbccbaaabcbaaaabcacccaacabbbababbaacacaaacbbbccccbaab
+cacbcbaabcccbcaaaaaaccababacccbcbcaabbbcbbabbabcbabbbbaaabcbbacccccbacccabccabcabcacaabcaaaaab
+abaaaabbaabbaaaaccbaaccaabbcabbacabbaacbcbaaabcbbbbcabbbab
+bcaacbbabcbccaccbbcacccacabbcba
+aaaccaacbccabbcbbbaaacbcaabaacacc
+cbcbcaccccaaaaabcababbbabacbccacababacccabbaaaaccbbacbccabbbcccbaacacacaacacbbbbbcaaccabccbbcabacbabccb
+bacbabcabbbcacbbcbbbcabcbbbaaacbbbccacabcaccccbcbaccaaababbcbacaaabcaababbcbbcabbccbcbbbccbaacbbbb
+ccaacccbaaabcaababccabacaaaacaabbbba
+cbacaabacbababcbccabcbccbbccccaccacaaacacabbbcacabccbccabcbccbabacbb
+cbccbbacacabacaccbbaacbacbbccbcccacacbacaacbaaabcbcbaccccbbbabaccabbbaccccbacacbbabbaaccbbbcb
+accacbbbacaacbacaabccbabaaaacbbbacaababcaacbacabbcabbccbbabcbbccbbbcbcbbbabbcbcb
+bbaabbabacccaaabaaaabcbccaaabcaba
+cbacbccabbcaccbabbcbbccbaaccaccccbbbccbaccaabbbbbccabbccbaababcaccbacabacbcbcbcababcccbabbccbc
+aacbbabbaabcaaacbabacb
+ccbbaccaaccaabcaccaacabcabcbbccbcbbcabaacaabcbabcabcbcacbbcbcbbbbcabacbaaacaacacc
+bcbcbabbbbcccacaabaacabacbaacababbacaabbaabbbacbcbbcaacabacaccbbacccabbccbacabcaccbabcabcbcaababac
+bbcaaccbcbbacabbcbaacbbbabbaccaabbbacaaacccaaaababccccccaabbbbccc
+bacccaacaaacccaabcabbaaaaaccaccb
+cbacccababac
+bccbcaaaaccababaabbbaacbcaabccbcbacbaacacabaaaacbababcccbbacab
+aabbbbabcbabaabccacacabcbccabcabbcacbbbbcaabaacbbccbbcbcbcaacabcabbcbbaaaaacbccabccbbaabbcacba
+baaaabcaaccbccaacbbacbccbaabccacbccaabacacbacbcbccbacaccabbaccccbbcabbaacbccaccccbcaacabccbcacbbaccc
+abcccbbccaabcccccabccbcbcbacccacaaaaccacccaccbacbbcaacaaacacbaacbbbbacbcbbbaaabcabcaabcbaccb
+cbacbacaabcacbbbbcbcbbbacbbabacbaacccabaaaaabbccbbcaccccabccaabcbbccaacacaccacbacaabaaaaaccba
+bcaabcbbbaaaba
+cacbbcacbaaaccbccacabbacbcc
+bcbbbcbbbbcbcbbbaabbbbbcbbbbcacbcbcbbabbbaaacacbcabbabccacbcaabbaabcacabbbbcccbcbbccabbc
+cbbcbaccaacabaabacabccacaacacccabbbcacaa
+abaaacabbbbabcbcabaaabbaccacbcbacbaaacbbbacabacabcbccbababbaabcccc
+bbbcbcbcbcbccaaabaabaaccacbcaccccaabccbacabbcabaaabbbacbaabcabaa
+cbcccbacbbcbcbcbbcbabcbcaacbcaccaabbcbcccccbbbbbbaccaaacabccbcacbcaabbbacbbbbaabccbbbccccabcaabcaabbcbaaa
+ccbacccccbabbbaaababacbbabccaaababbccacbcb
+abcaababcbcccbaacabcbabbccabaccaccaababaaccacbaababacabcaabaaabaccccbbabcca
+ccbbbbcaaaaccbccaabbaabbaabcbcbbabbcacaaccaaaaabbcbabbabaaaaabccaa
+aaacaccbcccbacaaaacbcabcacbbbbabbcbcabcccccaacabcabcaccabaaaccbbcaaabbccbbacacaabba
+bacaccabaccbc
+abcacabacbccbabccbaccccacabcaa
+ccbaabaabbabbabaaacaabbacbaabbabbcbccbcbbbbcbaccabaaaacbaabaabbbababaccccbbbab
+cbcccaabcbcccbaccccacccbc
+cabbcccccbccacbaaaabaccbbbccbbbbcabccbbbbbccaaabbaacbabbacbcbcabbaccaccbacabbccababbbcbbbaabbcbbababccb
+ccbcbacbbabcabcaacccaabbacccaaccbbaaaaacbaccbccacacbccaccaccbabbab
+cbacccababbcabaabbcccabaccaacacacccababc
+bccabcaaaacacbabaccc
+bacacaabccaccacabbbbcaabcabbccbbcccacbbcabacbaccbcaaaabcaabaacbaccbcaacaabccc
+cbbcbcaaacbcccacbcacaacabaabaabbaabbbabacbccacaccaabbabaacbccabccacb
+acaabbabaacccabcbcbcabbbcacccbcbcaaaaacaabbcaaabcbbbcabacbabcbbcacbcacbcaabacbbbaabbabccbaacbaa
+aaabacbacbcaacbbcbacbabcbccbcacbacaaccabccbabcccbcbbbabaacbbabbb
+cbabcbaaabbbcbccccbbbbcabcbaacccbcccabaaaa
+acbbabcacaacbabbaababacbccaccbcbaaacbabcbcbbbcaacabcacabaaaabcccaaaaaacbabcbaaabcabcaccbbccacaaaabababbcccc
+aacbabaaaccccbca
+bbacbacccccbcbcaccbaaabbcbababcbaababaaaacbbababacbbbacccaabacccbbbbcaaababbacca
+bccbacbcacbaaabaaaccbaabbbcbcabaabacbbbcbcaccababacbcccaabcbbabacabaaacbccbcaacabab
+caaabbcacbabbabaa
+bbaccccbbc
+bbbaacaaac
+abbcaacacbcccccabccabbcaaacccacccbcaaabcbaaacaaabccccababcaa
+bcbcccccabaccabccbbbc
+abbbcccacbbacbaccacababbbbbaaababbacab
+abccccaccbcacbcbbbabcbaaaabbab
+bcbbaccccccbcbbccccbbccbbccaaccccaccacccccabcbbbbcccabaacbcabccbaacbc
+cbbacbacbcbccabccbaababbbbaabccbbbbbccccbaababbc
+bacacabcccbccbaaccacaccababbcbbaaccbbacccccacbcabcbabaabbabcbacbcaabbccccbabccbccaccacb
+bcbcababababcabacbbaacabbbbab
+abaabcbccbacbcaaacbabcbabbcacbcbabbcbacbabacacbccbabccbccbaabcbaababaaabccbcbcbbaaaabacabcaaaabcbbacaabccbaa
+acabacabcacbabcbbaacbbcabccbbaaaccbcabaacaacaccbbbaabbbbbaacbbcbbacaabbacaacbabbcbbaaaabbbccacbbabacabcaabcba
+abcabababababbcbcbcbbbaacabbbcaaabacbabbbbaccbbccbbccaccabacbababcccbabcabababbbacccab
+bbabaacbacaca
+abbbbccaaccccbcbacbbcbbbaacccaaacccbabbbcaccbaabcbccccaabbcaaacacaabbcbcccbaaacaca
+baccacbcbabacaaacabccbbbbbbbb
+acbacaabcaa
+cabcaacabbcaabbbcac
+ccccaaaacccbcaacbbcaabcacbcccbccababbccacbbcbcccbbccbaababaaabbbababcbacaabaaaacabcbaaccbccbcccbcc
+bbaccbcaabaccbcbbabbcaabaccabcccbcbbaababacabcabaaba
+abcbbcbcaaabbaaabacaaabbabcbbbabacbcbcccaabbbabaacccacaaacabbcbbcabacbbba
+ccacbbbcaaccbcbbbcbaabbbaaababcaca
+abacabbbaaaccabbacbcbbccbccaacbacbbbbcccbacbcaaabcabbbcabcbccabcabbcccbcabb
+acccbaacbaccbbabbbcacacbccaabbbacaacab
+ccaaaaaccaaa
+bacbabbcababbcacabbaccbcabcbbaabcccaaacbbacbccaababcaababbacbacabaccbbcaabcbabbccababb
+aaacbbcbbccacbabbaccacbaaacbacabcacbcabaacbccccaabaaabbbbacabccacbbccaabccbcbbcbbbbbbcbccbacb
+cbccabacacbabbbbcccbaabbabbcbcccabbabcccaba
+cbbcabbcccaacbcacabcbbcabcbcac
+babcaabbaaababccabbccabaccbcbacaabcabcccbaacbbbbccabcabbac
+aabccaccabcbcbabcaaccabbccbbbccacac
+bacbbacbbaabcbacabbccababcbaaabcbaacaaaacaabbbcbacbabaccacaaacba
+cacacbcacbcacbaacbbbcbab
+cbaacacccbcacccacbcccbababcbcaaabbbc
+bbcaaabbacabbbcc
+babbbabbcccccaaaaacbbaacaaca
+babcbabacbabacbcaccacbbbbabccbcabcccbacacbcbccbaaacbcacbacacccaccabbaabcacabbacaacabc
+aabaacabccbacacacacbaaca
+accaaacbcabbbbcbaabbaccaccaccbccbacaaacbabacbabccbabbabaccacbabbbcccbbcbbbabcbbacacbbcbacc
+cbccbcaccbaabaabaabcacabacababbbbabcabcabacccaccbcacbcbabccacacaabcacbaacbaccacabcacccbabcaccaccbb
+acccacaccabaccbccbabbbcabcacccbbabccacbcaabcacccbaccababbcaabbaaacc
+abccaacaabaaaacbaaaaccccacabcc
+ccabcccccabcaacaaababbbcaaaacbabaccaccaccc
+bbacccacacbaccacccaaacacaacaccbacabcaabaabbcaaaaabbbaabbcaabcabbacacbcccaccbccb
+ccbabaaccbccacacabbaaaaabbacacaaacbbaabba
+84 45
+bacbcbbbdbddcbccccdacbdddabaddaacac
+bdaadbaaccacbbbbcbadcdcbaaccdbddbcddba
+dabdccacdddbaddbdddbbadcdaabdbbbbdbdacbdacbdbabbdbaaaccabdbccacdbbada
+bbcdcccdccbc
+bdbaacddcaadbdcdabadcbcbacbbaadbb
+baaabccccccbcdbcdbadadaaaadccbbbccaaacacbadbcdcbddbababddcacdcbddaaacbbcbbddcaaacbdcbc
+ddaccbcbdbaabcdbccbbccbcbcbcabdb
+ccbcdbcbcbbcdbbabcbadddacdacaaab
+cdcdaacacabaaadbbabdbdbbcdbbaaccbcaddadcbcabbcdaccdb
+cadbbdabccbadbcacbbcacbca
+bdcacddaacddacacbaccabcbbcbddbcdbdaabadbdbcadbacdbdbddbbaabddadcbbbcaaaabdabacbdbabddc
+dbdadddabdacddaccacbbbbadaabacdcbaabdbdcbabadaaddaaabbcacbabaccbcdbdbaadcbadadbbb
+bddbacbdaaddcbababdaccccadccbddddacdacbacbbccbadaabca
+dbcddbaadbacdccadccbbcbddbaadbdcbcdbbdbabbcdcdbccbdcdcdcadbaacdaab
+cdadabddbbaaccdcaddbbb
+dbdddcadbabbadabbbcdabacbdcabbcbaabddc
+caadcaddbbabbddddcccddcacbcdbbdabbcbbcacdcbbadbcbbccccbbdabccdadbaadaaddcbcbbbacbdbadbadc
+adcddcacacbaddbccadaaddbbaabbacbbbdcbaacbadcdcbdabadcccdbccabcadcddb
+aadabbcbacccdabaddddbcadbbcccdcadcdbcbbaabdbdcdbaddaacdcabcdbdacdcadccabcbaacc
+bdbbcbdbdbaacdbdcaaabccdadbbcabcdabaaddcbaccaabccdbdbbadbdcaacacdaaabbbadbadaadca
+ccdbcadbddccddcdcddcadd
+abadbddddabadaddcabaccbdcddbaccacddbabcacbaadbcabddadbbacdbbababaaddacdcaaccabbcdbdcacbcbdbacdcdaabdbd
+cbdbdbcbcbbbdcdbadcddcc
+acdacbacbabbcabbdccacdadacddaacbdccdbaadabbccdbaaadabcddabaadcddcabacccddcbddcbaadc
+bcbbcddccdabadadbabddcacbcbdcabaaacbdccbabbabdcaddbcdacdadacbbdaacdbabbbbbcaabacbacadaddadccdbabdbab
+adcbbbaabdbddb
+aaddbcdabad
+cbbdcdacdacabbababbbaaaddbdcadcabcabacccdddccbadbbcadccadabdcbbbacbcdaaadcdaadcabbdbdbbcbadcc
+daccbaddcbbdccabddcacdcaabcdbdba
+cdadcbaaddcbbcddbdc
+cdabcbddacbbbdcbaccccbaabbaaadacaddbbdcccaddaaaacbdccadbadbbbdcbddcddbcbcaabbcccdacabbadccbabcabddcabca
+ddddabbccdcca
+dbacddccbaddccbacbcddaadddcbdbbabcbdccadcabcbdcaabcbcbcaabababdcccadbddadbdddabab
+dabcdacbbacaabbacdadacddaddaaacdaadcddaabccbcbaabacabbbcbdbddcaaabaccaccaadacdadddbddcdbaacabcdadacc
+cdaaccbbcbccdcacadbbbddbabdbcbbabbcbbaacacadbbdabddadaabcbbddbadabcccddbbadabab
+bbbcbaccbbbabadabcbbbabcbddaacbaddbcbccdbdbaa
+dadabddcdccaddcbdacbaddacbbdaccbdcbbacddbcaccdbdbacdbcdddaabacadadbadacddacdacaccaadaddca
+ccdadbbacdcddcdcbbabccbadddbdbbcbbccccbadcbcdaacabcabbdbdaaddccdbdcdbcddccdcbbcbbaadaaddadbcbacacadaadcbbb
+abddaacbccadaddaadadad
+aaaaababacdacbbbaadbacaaacbbbbdbdcccdbacaabdbacbcddbddbb
+dcbcdddcdabdbbadacacddbadccddbadddccdcaacacdabbaddadabababadbcdbbccddccbdbcdacdcb
+cbbcaacadbcabacdcbbbadabcdadcccacbcbdadbcddabdddabdbbdbbddabdbaccbdadbabacaaabbbdacaddcca
+bbbdacbcabdbaabdaadaddcadcbcbdaab
+baadaacbccccbcdddccbccadaaccbbdbaabdacdcbadcadddddabcaabbbcaddccbcdddbacccddcb
+aadcccdabdadabcabbbddbdb
+cbbdbcacbcccacddabbbddbabbaaaaabdcabaccbaaaaaadbadcdcaacddaccbbdbcbdcbbdcaccdbacbddacaabaabaaddcabbbdab
+cdbdacbccaaccdaccaacdabbddbbcbcdcabcaddcbbcbdbddccaabcabbcdbcbbbcabdaacdcdbccbadbabbadddccddba
+bcbcadcbcbbbdaddccaccbdcaa
+dabdaaaacdbdaaaccbbdbbbabacdcacbbccdcbcbbaadddacadabbbacbaaaaacbcabccbbccbdcdcbccddbbbdccdd
+caacdbabbadddccacacacadabdbabcbcddaddabcacdbbccadabadbbdacaacdbacbccabcdddabcdcbdbbbcbdacbbbdccacdbdadacadddc
+dbdddccdbbcaccbdbdbacbbaadddabdbdddbcdbbaa
+ccaaddcaadcaacddcadcacac
+cdccdabcdcdaacccaadbcaadaccbbadbcbddcccdaccaccadcbcacccdcbbaddaacdddccddbcdccdbbcaddbcb
+abdbddbddbdcbbdbbbaaabcbdcddaccbdaadbaabcacbcabacacbacdbcbbdccbcbcbdcaccdaadacadadcdbdcbadccacadacadadcdbabdc
+abcdddbacbdbbaacbbbabdbabdbbbbddadbbccadccaddcccbdcbdcbadbcdaccbcccdaccbbacbbdabdaabacbabaccbdcdcba
+bcaddbdaaaaabccabccdbddccaaccacbdacacdbd
+abcbcddcddacdaacdbcabadcccbdbcbccdcbadbaaccccbdddddbdaacddacaacbccaadddbcccdcbcadaa
+bacddbcdcccacdcacabccdacabbadcdcbaaacaaaccaddbacdbbdcbdbcacbddabbdadbcdbdaa
+dcbbcacabcdbbcc
+adcdabccbaabdbadccdbcacddbbdcbcabdaaaccbbdabcad
+dbdcadcacccaadacbadcddcdcccaabbbabddacbdddcccbcbddbbaadddbcccdcaadddcbbdc
+adcaabdbddcddcdbcdbbca
+bccdbabbadaabaccbadabababcbbbccbaddcccaaacabdbdcababbabbabccbcccbcacbbadabccccaabaca
+bcabdbdcdcadcbadacaabaccaaaababdacadbdccbdbdcaddbbdadacbbcbddadbcccbcaadaaadd
+acbccdcccddcbb
+acbbdcaddadadadbddaaacacddabbccdccbacbcddcdcccabddcaacbdcabbcacdbdbbc
+daddccdabdcdddabcdbcaddaaadbbcdcbcbbcdccbcacbdccbacbbacdadacbabbadcbdccaacdcddddcaaabcbabaaddabacbda
+baaadcbababadacbdcddbddc
+dbaaaadbadbbbabdddcdbdcabaddaacdccaabaabddbd
+bcbcaacabbdaabdaabbaddcaababbbdcbbacbaabababcaabaa
+bddacadbbcbcabcdddcddabbcdddcdccbaaddabbacbcbbcddbbadadabacacacbadacbbcabbbabcacdbdccadbacdba
+ddcdcccccadabacbcadddbabcdabdbcacddbcacacddaccdabcdcaacabcbadacdcdc
+bdcddadaadbacdccbbcbcccadbbbddbddddabbaccbbd
+dbdbbaaabaabaaaabcccdc
+cdacbcabbbdbaccccdddbcbcdbcdbabdacababbcaaabacaddacddacababcacdddbdaccbddcbbcdbcdaadd
+bbdabccdbaadaa
+ccdcdccdabccabbcddddbadadbdcbcacaaabcddbdccdcacbadadcbbbcdacdaaddbbcddac
+aacdbadcdadabddabcccdcbabbcbbccdbdbadcabb
+bdbdaccbabaaddbdddccabdbdcc
+cbdcacaabcaddaadcbddbacbadcddcabddbcbccabacbbbdacbdcadbabdabbdbdadbba
+aacdaadaabaaaadbaaccadddadcddcdbcaabccdcdbcbcdbbbcabcccbabdca
+cdadddbdcdaababbacdbdbbabca
+bccbdaaaddcdbdbdcddbbcdcccdabdbabcbdbdbcdcbdccdcdabdcadbcc
+dbdaaddbcdbdccbccbbcbdaddbbdddddabaac
+277 190
+bababbabbbbaabbaaaaaaaaaaabbabbbabbababbbbaabbbbbbaa
+bababbbaaaaaaabaaaabbabbbabbabbbababbaaaabaabbababaabbabaaaaba
+babbaabbaaaaaaaabbaabaaaababbbaaabbaaaaababbbaaaabbbabaabaaababbbb
+abbaaaaababababbbaabbbabaaabbbbabbabbaaabbaabbaaabaabbbbbabbabbabaaaababbabbaababbabababba
+aaaabbaabbbaaaaaababbbababaaaaababaababbaabababbbb
+babbbbbbabaaaabbbabaaabbbbbaaabbabbbbabbaababbaabaaabaaabbbabbbbabbbbbabaaabbaabaabbbaababbaabb
+aaababaaaaabbbaabaaabbbababaababbbbbbabbabbbbababaaaaaaababbabbaababba
+abbbbaabbababababbbabbbbbaabbbbbaabbbbbb
+baaaabababaaabbabaabbaaaabababaabaaa
+abbbbbabaabbbabbabbbbbbaaaababaaaaaabbaabbbaabbabbabbbababbbabbaababbbaabbabaababaaaabbbaaababaabaabbabaaaaab
+aabaabbbaab
+ababaaaabaaaaabaaaabbababbbabbbbababbabbaabababbbbbbbaabbbaaabaababbabab
+babaaaabbaaaaaaaabbabbaaaaabbabbbaabbaabbaaabbabbbabaababbaabbabbababbbabaaabbbbababaaababababbaaabaaabbba
+abbababaabaabaaabbbaaabbbbaa
+bbbaaababbabababbbbaababbbaaababbbbabbbba
+bbbbaaabba
+aaabaabbabababbbababababbabababba
+babaabaabbababaaabaabbbaab
+abbabaabbbabaaababbaaaabaaaabbbaaaabaabb
+bbaababaaaaabaaaaaaaaaabababbbbabababababaaaaabbbbbaaabbabbbaabaaaaaaaabbbaababbabbbabaaab
+ababaaabbababaaaabbbabbaabbbabababbbaabbbbbabababbabaaabbaaabbbbaaabaababbbaababbbabaabbabbaaabbbaaaabbbbbba
+ababaababaabbbbbaababbbaabaabbbbab
+abbabbbbbababbaabbbaaaaaababbbabaaaabaabbbabbbbbabaabaaabbaabaaaaaaaaabbaaabbaaaabaababbaabbabbaabbbaaabbaa
+babbbbbaaaabaababbaaabbbabbaabbaaaaabababaabbaaabbbbbbabaaaaabbaaaaabb
+babaabbbbbaababbaabbaabbbabbaabbaabbababbababababbabaaabaabbbbbaaaaabbabbbbabbaabbbbb
+bbbbaaabbbbbababbaaaaaaababbaaab
+abaabbaababbaabababaababbbbbabbabbbbbaabbbbbaaabbabbabbbbbaababbabbbbabbababbaababaa
+ababbabaaaaaabbaaaaaaaabbbabaaaaabbbbbbaaababaabbaabababbbaabbabbbbabab
+bbbababbaaaabaaaabaaabaababbabbbaababbbaaaaabaaaaabbaaababaabbaabaaabbbababaaaababaaaabaabbabbbaaaaabab
+bbaaaababbbbbaabbaaaababbbbabbbabbababaaaabaaabaaaababbabaaabbbabaabbabbaababababbaaaaabab
+aaaabbbaabbabababaababababbaaaab
+abaaabaaaabbababaabbaaabbbbbaabbaabbabbaaaaabaaabbabbabbbaabaa
+bbaababbaabbabababababababaabaaabbbbabbbabaaaaabaababbbaabbabbabbbabbbaabbabbaabbbaaaaaaaabbbb
+abbabbbbbaaaabbaababbabaabaabaabaabbbbbabaaabbbaaabaabababbbbaaaababbaabbbbbababa
+abbaaaaabbabbaaababaaaabbabbabababbaababaaabaabaabababbabbbaabaabbababaaababbababababbabaab
+aaababababaaaaaab
+abaaababaabbbbaababbbbbaabaabbbabaaaabaabbaaabbaababaaaaabababaabbbbab
+bbbbaabbbaaabbaaabaaabababbaaabbaaaaabbaaabbbabaaaaaaaaabbbabbbaabbabbbbaaaaaabbaba
+aabababbaabbaaaabbaabbbabbbaabbaaabaaabbbbbbab
+bbbbababbaabbbabaabaabbbaaaaaaaabbbaaaa
+bbaaaabaaababaabbbaabbaabbbaabababbaaabaaabbbbabaabababaababbabaaba
+aabaaabaaabbababbababaababaaababbaababbbbbaaaaaabbbaaaaaaabaaaababbabbbbaabbb
+bbbbaababaaabaabbbabbbaabbbaaaaabbabaaaaababbababababaababaaabbbabbbabbabababababbaaaabbaabb
+aabbbabbaabbbbbbabaabbbaaabbbaabaaababbaaababbababababababbabaabbaabaaabaababaabaaaaabaaabbaabaabbbabaaaab
+aaabbababbbababbaabaaaabaaaaaaaaabbbaaababbbbbbababbbaaabaababaa
+abaaaaababbabbabbbaabbbbbabbbaaabaaaaabaa
+baaababbbbaaaaabbaaabbbababaaaaabaababbaaaaaababbbabaabbbaabbbabbbaabbbbabbbababbbaaababaaabbaaaabaa
+baababbaaababbbbaaa
+bbabaabaabbbbbaaaabaababaabbaaaaabbabbba
+bbbbaababbbbab
+aababaabbaabbabbaaabbbbbbbbaabaaabbbbabbbbbbabbab
+babababbaababaaaabababaabbaaaababbaabaaaaabaaabbabaaaaabbbbbbabaabbaabababbbbabab
+abbaababaabaabbabbabbbaa
+baaaaaababbabbbaabbaabbaababbaabaabbabbaababbbaaabaabbaabbbababababaaaabbbabbaaaabaabbbbab
+baaaaaabbaabaaaabababbbbbbaababbaaabbbbbaaaaabbaaabbbaaaaabb
+baaaabbaabbaaaabaababbaaabaaabbbbababaaabbaaaabbbabbaabaabbbbabaabbaabaabbaaa
+abaaaabbaaaaaabaaaabbabaabbbbbabbbbbabaabbabaabaaaabbbbbbabaaaaabbbba
+aaabbabaaabbbbb
+baaaabbaaabbbaabbababaabababbaaabbaababaabaaabaababbbabbbbbb
+bbbbaaaababaaaabbaaabbb
+babababbabaaaaaaaabbbbaabaaabababbabbaaabbaaaaabbbababaabbbaabbaaaaababaabbbbaaaaabaabb
+baaaabbbbbababaaaabaabbabababaaaaabbbbbbabaabbbabaabaa
+baabaabbbabbaaabbaabaaabbaaaabaabbabbbbbaaaaabbabaaabaaaaaaabaababaabaaaabaaabaaaaa
+abbaaaabbabbbbbbababbabaabaaaaaaab
+babaaaaabbbabbaaabbbbabaabababbaababa
+ababbabbaabbaaabbbbabbbbbbbbbbbbabaaaababbbbaaaabaabaabaaaabaaaaabaabaabaabaab
+babbabbbabbabbbaaabbbaaaabaababbbaaaaa
+abaaabaabbababbabaabbbaabbbabbbaaabbabbbbbbbbbbaaaaabbabbbaabaabbabaabababaaabaaab
+baabbbbbbaaabababaababbbbbbbaabbaabbababbaabbababbababbbbaabbaaaaaaabbababaabbb
+abaaabaaabbabbababbabbababbaabaaaaaaababbaaaaabbbaababbbaabbabbbabaaaaaaaabbbaaabbaaabb
+baaaaababbaaabababababbbab
+baabbaabaaabaaabbababbbbababbababaabbaabbbbaabbbabaaaaaabaabaaabbabaabaaaababbbababbbaaaabbabbabbbabbb
+aaabbbaaabbbaaaaaaaaaabba
+abbaabaaaabaabaaabaabbbaaabbaabbbbbbbaaabbaabaabbbbbbabaaaabaabbbaaaabbb
+aaabbbbbbbbbaabababbaabbaabbaaaabbabbbabbbbaaabbabaabb
+abbaabbabbabbababbabbaab
+baabbabbaabbbabbaab
+ababbbabbbaabaaaaaaababababbaaabbbaabaabbaa
+babbbaabbabbbabbbabbaabababbbabababaaaabababbbabbaabbbababaaabaabbaaabbbbbab
+baaaabababbbbabbbababbbabbaababbaaabbabbbbaaaababbbaabaababbbbaabaaaababbaba
+bbbbabbaaababbabbbbbababbbaabbbaababbbbaaaaaababaabbbbababbbbbbbaaaaaaaabbab
+babaaaaabaabaaaabbbbaaaaaaabaabaabaabababbbaa
+bababbbbabbaaababbbbaaaaabaaabababaaaababbbbbabaaababbaaaaaabbbaabababbbbababaaababbbbbbb
+aaaabbbaaaabbababaabaabbbbabaabb
+aaaababaabbaaababaabbbbbbbbababba
+aabbabaaaabbabbbbabbaaabbababaabbbbbaaab
+baabbaaaaabbababaabaabaaaaaabaabaabbbbbaaabbbbbabbbbbabaaaaaaababbbbbaaabbaabaaaaabbabbbabbaabbabbabbabbaab
+aaaabbaaaabaaaababbbaaaabbababbbbaabaaabbbaaabbaaaa
+bbbbbaabaabaabaaababbbbababbabaaabbaaabaaaabaaba
+bbaaaaabaababababbbabaaabbbbabbabaabababaaaa
+babaabaababbbbbbbaabbbaaaabaabaabbbabaaaaaaaabaaabaabaaaaabbaaa
+abaabbaababbbaabbbbaababaaabaabaa
+babbababbaabbbaabaaa
+bbabbbbaaaaabbbabbbbaabbbabbbaababaaaaabbbaaaaaabbbbbabbbaaababbabaababbabaabbaabbbb
+aabbaabbbaabaabbbaaaaabbbbbaabaaaabbbbbabbbbbabbbbabababaaabbabbabbababbbbbabaabbabbbbbbabaababbabbbbbabbbbba
+abbababbaaaaaabbbbabbaabbbbabbbbaaaababbbbaabbbaabbaaaabbaabbbaab
+ababbaaaababbbaababaaabbaaaabbbbbabaaabbb
+bbaaaababababbaaaabbbaababaaaa
+baabaabbaaabbbaabbababbbbaaaaaaabbbbaabaababbaababbaabbbababbbbba
+aaaabbaaabaabbabaaaabaabbabaababaabbaaaabababbaaabbabaaaaaaaabababa
+babaaaabaaababbbbbaaabaaabaaaaababababbbaaaaaaabbaaaaaaaaabaabbbaaaabaaaabbaaabbbbbbbaabbabababbabbabbabaabaa
+aababababbababaabbbbaaaaaaaabaabbabbbbbbabaaaabaaaa
+bbabbbaabbbbbb
+babababbabaaaabbaaabaabbabbbaaabbabbaaaaabaaabaaaaa
+aaabaaaaabbaababbbababababbaabaaabbaabbababbabbaaabbabbaababaaaaabaabababaaabbbabba
+baaaaabaaabbabaaaabb
+abaaabaaaaaabbbbbbbababaababaabaaabbbbbbbabbbbbbbbbaaabaabbbbbabbbbaaaabaababbbabbbababbaaaaaabab
+aabaabaabbbbabaabababbbbabbababababababaaabaaabbabaa
+bbbababbbababbaaababaabbaaaabbbbabbaabbabbabaabbaabaaabaababaaababaaaabaabaabababababbaaabbbbbbbaaabaa
+ababaaaabbabababaaaaabbbabbbbbbbaaabaababbbbabbaabaaabaaaaaaabbba
+baababaababa
+bbbbbababbbbabbbaabababbbaaabbaaaaabbababbbbaaaababbbbaaaaabbaabbbbbaababa
+baabbabbbababbabbabbaababbaaababbbbabaaabbaaabbbbaaaababbbaabaabbbbbaaababaaabbababbbabbaa
+aabbbaabab
+abababaabbbbaaabbbaaaaabbaaabbaaababbaaabbbabbaaabaababaaabbbba
+abaaaaaaababaabaabbabaaaaabababbaabbbbabbabbaaba
+bbaaaabaabaababbabaabbbaaaaabaabaaaaabaababaaabaabbbbbaaabbaba
+abbaaabbaaaabaaaaababbabbabbaabaababbababbbbbaaababbababbbaaaabbaaabaabbaaaabaabbbbbabb
+abbbabaaaabababbbababbbbaaabaaaaabaababbabbbbabbbaaaabbbaabbabbaabaabbaababbabaababbaa
+abbbbaababbababaabaabbbabbbabbbbaabaaababaabbbabbab
+bbbabbbaabaabbaaaaaabbaaaaaaabababbaaabbaaaabbbbbabaaabaababaaabbaaaabaaabbaabaaaabbbbbbabbbabbbbabbbbbabaab
+babaabbbbbbbabbbbaaaabbbbaabbabaabbabbabbabaaababbbaabbbbbbbabaaaabbaabbbbbaaaaaba
+babaaaabababbababaaaaabbabb
+aabbaabbbabbbaabbabbaaaaaaaabbba
+babaaabaabbabaabbabababbbabbbaababbaabbaaaabaababaabababaabaabbabbbababbabbababaaababaabaabbbabaabababbbb
+aaabbbaaaabba
+bbbabbbbabbbbbbbbabbbabbaabaaaabbbaaabaaaaaabbbaaaaaaaabb
+abaabbbababbbbbbaaabaabbaaaabaaaaaaabbaabbbbaababaabbabbaaba
+babbbbabbababaaabbabbbbbababbaabaababa
+abbbbaaabbababbaabbaaaababbabbbbbbbaaabbaaaaaabababbbba
+aabaabaabababbbbabbabbabbabbabbbabbbaaaaababaaababbbbbbbbaab
+baaabaaaababbbbaaabbabbbaabbaaabaababababbbabaaaababbabaabaabbbaaaaabababababababababaaaabbbaaba
+aababbbabaaab
+bababaaaababbaaabaabbbabbaabbabaabbaaaabaaabaaababbbbbbabaaabbabab
+bbaabbbabaabaabbbabbabbbaaababbbabababbbbbababaaabbaabababaabaab
+babaabbaaabbaabaabbbbbaaaaaaa
+bbabbabbaabbaabaabbbaaaabbbbbbbaaabbaabbbaababbababbabaaabbaaabbbabaaabaaabbaabbab
+baabbababababaaaababbbababbbaabababaabbaabaabaaaabbaaababbbbaabbbaaabbbabbaabaaaaaabbbaabbbbbbbbbbb
+abbbbabbaaababa
+aabbbbbbbbbbbbababaaaaabaaabbbbbababaabbaaabbbbbaaaabababaabbaaabbbbbabbbaaababbbaabbaabbaabbbaaaaaa
+bbaabbababbbbbaaaabababbbbbabaaaaaaaabaaababbbbbbbbabbabbabbbbabbabbaaaaababaabbaaabbbaaab
+baaaabaabbbababaaaaaabbabaaabbabaabbabaabbbaababbababbbabaaabaabaabbbbaababbbabaaababaaabbbbbaaabab
+bbbbbaaaaaabbaabaabbbbaabbbaabbaaababbbababaabababababbababbbabbaaaaaababbaaaabbaabbababaabbabbaaaabbbabbb
+babbabaabaaaabaabababaabba
+abbbbbabaabbbbbaaaaababbbaabaa
+bbaaabbaababaabbbabaabaaaab
+baaaabbbbbbbaabbabbabbaabbabbabaaaabababbabbababbbaabbaabbaaabbaaabbabbbabbb
+bbbbbabbbbabbabaaaab
+abaabababaaaabaa
+aababbbbbbbbabababbaabbbaabbbababbbaaaabbaaaabaabbbbbaaaaabbbb
+bbbabbababbbaababbaaaaaabbbbbbaaababaabaaaaaaaaababbabaababaabbbbbbaaaaaabbbbbbaabbbbbabaabbaaaabbaababb
+abbaaabbaaaabaa
+aabbbaaaaabaaaaababaaa
+abbabaabbbbbbabbbbaabbaababbaaaabbaabaaabaaaabbbbaaaaabbababbabaababbbaaabbabaababaabbaaa
+aabaaaaababaaaaaaaabababababbbbababbabaaaaabaabba
+ababbababaaabbaaba
+ababbaaaababaaaabaabbbbbbaaabbabaaabbbaa
+babbabbabbbbaabab
+bababbbabbabaabbabbbbbbbbbababaa
+aaabaaaaaaabbabbabbbabababbbaaababbabaabaabbbbbbbaaaaaabbbbbaaabbabbbbbbababbaabaab
+ababbbabbbbbabbbaababb
+abaaaaabaabaaaabbbaabbbbaabbbaabbabbaab
+bbaabbbaaaabbaabbababaaaabbbbaaaaaabbaabaabaabb
+abaabaaaaabbabaabaababaabaabaabaaabbababaaaaaababbbaabbabbbaabbabab
+baababbbabbaabbbbaaaaaababaabaabaaaabbbbbabbabbabbbbbaaabaaaaabaaabaabaaaaababbababbbbba
+abbbaabbbaba
+aaababaabbabababaabaaabbbabaabaabbabbbaaaabbbabbbbaabba
+aababbaabababaaaabaabaaaaabbbbb
+abaabbbbba
+aabbabbababbbbbababbbbbabaaaaaaaabbbabbbbaaaaaabbabbabababaabaaaababbbaabbbbbaabaaabababbabababbbabbbab
+bababaabaabaabbabbbbbbababbaaaba
+abbabbbabbbbbbaababababaaabbabbbbabaaabaababbbaabababaababbb
+ababababbbaaaaabaabaaaababaabaabbbababbaababaababaaabbabbbbabbbbbbb
+aaabababbaaaaaaaaabbaababbbbbbaababbbbbaabaa
+aababababaaabaaaabaaabbbababaaaabbabababbabbababbaabbbaaabbbaababbbbaaabbaaababbaaabbbabaabbbaaaaba
+bbaababaabababbbaaabaababbaaabbbbababbabaabbbaaabbabaaaababaaaabbbbbabaaabbabbabbbbbbaaaabbbabbbbaaab
+abbbaabbbaabbbbbbbababbbbbaababbaababab
+bbbbaabbbabbbabababbababababaabbabababaaababbaabbaabaabaabb
+babababbbbaabbbaab
+abaabaabaababbaabbaabaaababbbabaabbbbbbbbbbbaabaaabbaaabbbbabbbba
+abaaababbbabbaaababbbababaabaababbbabbabababbabbbbabbaaaaaaabbabbbbabaaaabaaabaaaaaababbbaaaaabbabbbbabbbb
+baaababaaabbabaabaaaaabbbababbabbabbaaabbaabbaabbababbbbabbbaaaaaabbbaabbababaabbbbabbbab
+bbaaaababaababbbbbaaaaaabaabbbaaaabbaaabaabbbbababbbaaabbaaaaabbbabababbbbabaabbaa
+ababbabbaaabaababbbabaabbbbaabbabbabbbbbaabbaaabababaabbbbbabb
+babaabaabaababbabbaababbabbaba
+bbbabbbaaabbabbbbbbbbbaabaabaabbaabb
+baaaabbaaaabaabbaaaabbbbbbabbabaaa
+abbababbbaaabbaaaaabaabbabbbbbbbbbbaaabaaababbaabbabbabbaabaaaabaaababbabbaabaaaabba
+bababaabaaabbaabbaabbaabbbbabaabbababbbbaaaabbaabbbbaabbaaabbabbaabbbaabaaaaaabaaaab
+abaabbbabbabbbaabbabbbaaaaaaaabaaabaaaab
+aaabbbabaabbaaaaababbbabaaaaaabbbbabbaaabbabbabbababbaaababbabbabbbaabababaabbbbbabaab
+bbaaaaabaabbbaaabbbabababbbabbbabbbbbbaabbabbbaabbabaabbbbbbbabbbaaabaabaaabbaabababbbbbabbbbba
+abbabbaababbbabbbababbbbbaaaaaaabbbabbbbbbbbabaababaaaababb
+babbbbaabbbbbbababbbabbabaababaabbbbabbabbbbbbbbaabbabbaabaabbbababaaaaaabaaa
+bbbbbbaabaabbbaaaaabbbbaabaabbbababbaaaaaaa
+bbaaabaaababbaabababbbaabaabbbababbabbbaabbbbabbabbabaaaaabbbbbaaabbbabaaababbbbbbbbbb
+bbabbbaaababbbaaabbbbabaabbabbbaababbabaabbabbaababababbbabababbbbb
+babbaaabbaabaabababaabaaaabaabbabaabbbbbbababbaaaabbabbaabbbbabababbbaaabbabb
+baababbababbaaaaaabbaaabbaabaaaaaabbbaaaaabaabbaaaaaabbbababaabaabbbaaababbaab
+bbabaababbbbbabbbabbbabaabbaba
+abbabaaaaabbaabbbaabbabbbaabbbbabbbabaaaabbbbabaaabaaababbbbbbabbbbbbaaaaaabbbabbababaaabaabb
+baabbbababaaaababaabbbababbbbabbbbbabaababababbbbababaabbaaaababbbabbbaababbbbabbbabbabba
+bbababbbbaaaabbababaabbbabbaabba
+babbbbbbbbabbabbabbaaaabbbbbabbaabaabbabbbabba
+aaaabbbabbbabbbbbbbb
+aabbbaaabaaaabbbbabbabbabbbaaaaaabbbaabaabbbbabbaabbbabbbbbbbaabbbbababbbaaaaabbaaaabbabaaa
+aabbbbaababbabbababaabbbbbbbbaaba
+abbbaabbbbabbbabbabbaabbbabababaaaaabbaaaaababaabbbbbabbbbbbaaaabbbbabaab
+bbabbaababbaabbabaaabbbaaaaaabaaaaaaabbabaabaababbabaaabbabaaababaa
+baabaaabababbabbabaabaaaabaabab
+baaaabababaababaaaababbabbaaaabbbbaaabbbababaaabaaabbaaaaaaabaaaabbaaabbabaabbbaaab
+abbabaababbbaaaabbabaaaabb
+bbbbabbbaaabbabbababaabaabaabbbbababaaabbbabbabbabaaabbbbaababbbaaabbbbaaabbbbbaabaaabbbbbaaabbbbbbaaa
+bbbbbabbaaaaabbaababbbabbbabaaabbabbbbbabaaab
+baaabaabbaababaaabbabbaabababbbbb
+aaaabbaabbbaabaababaaabbbbabbaaabbbabbbabbbaaaaaaaaaaaaabbabbbbbbbbabbbbbbbaaababbbbbabaaaaab
+abbbbbbbbbabbbabbaaaababbabaaaaaabaabbaaaabbaabbabbbaabbaabaab
+aaaabbaabababbabababaaaabbbbbbabbbaaabaabbaaaaaa
+ababbabaaabbaabbabbaaabaaabaaababaaaabababaabbabbbbbbbbbabbabaaabaaaababba
+bbbbbbabaaaababbbabbbaaabbabbabaabaababbbaababbabaabbabaabaaaaaababbabbba
+babaaaaabbabbabbaaabaabaababbbbabaaabaaaaabbbbbabbaabaabbabaabbaaaabbbbabaababbbbbaaaabaaab
+abaabbaaaabbaabbbbbbbbaabbabbabaabaabbbaaaabbbabbbaabaaabaaaaababaaaaaaaaaabaaabbbbaaa
+baaabaaababaabbbbabbabaaaaabbbbaaaabbbaabbaaaababaabababbba
+bababbababbbbaabaaabbbbbabaaaaaabbabbaababaaaabababaabaa
+bbbbbaaabbabababbbbbaaaaabbabaaabbaaababaabbaaaabbababbababbaaabbbbaaabbaaaabaaabaabaaabbbbabbbaababba
+bbababaaaaabbabbabaaaaababbabaabb
+abbbabaaaaababababaabbbbbbabbbabaaaaabaabbabbabbbaabbaabbabbabbababaabbabbbbaabbbbababaaaaabbba
+bbbbbabbbbaabaabbbbaabbbabbbabababbaaababbbaababaabbbaaabbbbaaaaaabbbaabbbbaaabbaabaabb
+baaaabbaaaaabaabbbabbbbaaaabaaababbbbbabbbb
+abababaabbbaabbaaabaabbbbbaababaab
+bbababbbbaabaabaababbaabbbaaaabbabaaabbaaababbabbbaaaaaabbb
+baaaabbaaababbbbabbbbaabaabbabbaaabbba
+bbaabbbbbbabbaabbaaaabababaabaababa
+bbbaababaaabaabbbabaabbabbaabbabaaaa
+ababbaababaaaaabaaaabababababbbaababbbbbaabbbaabaabbbaaababaabbabaabbbbaabaabbbbabbabbbaabaabbbaaaabbabbba
+babbbbabbbbbabbbabababababaabbbbabaaabaabbbaaabbabaabbbababbbbbab
+abaabaabaabbbbabbbaabbbbaaaaabbbbbaaaaaaaabbba
+ababbaabaabaaaaaaaaababbbbaabbaabb
+bababbbabaaaaabaaaabaababaababbaaaaaabaaaaabbbaaababababbbbabaaaaaaaababbaabbabbaab
+bbaabbabbbbbabbbbaabbaabbbabaabbabbabbabaabaaaabbbababaaabaabbbabaabbababa
+abbbbaaababaaababbaaaaaabababbaaabbababbaaababbbbabaabaaabbababaaaaabaaba
+aabbaababbbaabbaaaaaaabbbbabaaabbbabbbaaaaaabbaaaabaabbaaaaaa
+babbbbbaababababbbbabaaabaaabbbabaabbabaaabbbaabbbbababaaaaaaabbaa
+aaaaabaaaaaabbbbbbbbaabaaababbabbaabbbababbbabaaabababbaabbbbaaabbaaaabbababbbbaabbbaaaabbbaabbbbab
+aababbbbaabbaaabbbbabaabbaa
+bbaaaaaaabbaaabbaaabbaa
+ababbaaabbabaaabbbbbbaaabbbbababaabbbbaaabaab
+aabbbbbbabbabbabaabbbaabbbbabbbbababbbbbbbabbbbaabbaabbaaaabbbbabbbbabaaaabbbabaaabbaabaababbbabaabbabbbbab
+abaabaabbbbbbbaaababbabaaabbbabaaabbbbabbbaaaaaabb
+aabbbaaaabbaaabbbabaabbaabababaaabbbaaaabbaababaaaabbabbaaaaaaaaabab
+baaabbaaababbaabbaaabaaaaaaababaabaaaaaabbbbaabbaabbababbbbbbbbababaabbaa
+abaaaaaaabbbabbbbbbabaababaaaaabaaaaaaabbbbbabbbbbbaabababbbabbbaaabbaabaab
+babbaaaaaababbaabbbaaaabaabbaabbbbbaabbabbbaabaaabbabbbbabaaababaaabb
+abbbaabbbabbabbbbaaabbbbbbaaabbab
+aabbabaaaabaaabaaabbaababaabaabbaabbabaaaabaaaabbbbaabaaabababbaabbaaabbababaabbbbaa
+abbabbbbaabbaaaabababaaabbaabbaaababbbbbbaaaaaabbbaaaabaab
+bbbbbaabaabaabaabbababbabbabaaabbbbbaababbbbaabaabbbbaabaabbbaaababaabbbbabbababaaaaaa
+bababbbbaa
+bbaababbbabaabbbaabaaabbaabbabbababbab
+aababaaaabbaabbaababaabaabaabababaabbaaaabbaababaabaabbabbbbaabbaaaaaaaababbbaaaababbabaabbabbabbabbaab
+aaaaabbbbbbbbbbababbbaabaab
+bbbbbabbbababaaabbabbbbbabaaabbabbaaaabaabaabaaabbaabbababbbbaaaaabbabbbabbb
+bbbbaaaaaababaabbbbaaaaabbababbabababbaaababaaaabbbbabaaaaaaaaabaababbbabaababaaabababbabaaaaabaabaaabaabaaaa
+ababbaaaabaabbaaaabaaababbabbabbabaaaabbaabbbbbaaaabbbbbabbababaabbaababaaaababbbabaaabaaabbbbbabaa
+bbbbbbbbabababaabbaabbaaaaabababbabaababbbbbaaabbbabbaabbbaababbaaaabab
+aaaaaabbbbbaababaabaaaaaabaaaaabbaaaababaaababbbbabbbababbaaababbaabaababbbbabbbbabaabbaabababaaaaaab
+abbbbbbaabaaabaaaabbbaabbaaaaabaaaab
+baabaaabababaabaaabbaaabaaababababbbaabaabbaaaabababaaabbaababbbbbbbbbaa
+aaabbaabba
+aaaababbabababaaababbaababbbbabababbbaaaabaaab
+aababbbabbbaaabbaabbbabbabbbbbabbabbabbabbbbbbaaaabaaabaab
+abbabbbaaaabbbaaabaaabbabaabaabababaabaabaaababbaabababbabababaaababa
+aaaabbaabbbbababaabaaaabaabababbaabbbabbabbaaaabaaaaababaaaaab
+bbbbababbababbbbbbbbabaabaabbaaaaabaaabbbaaaababaabaaaaaabaaabbaababbbb
+bbaaaaabbbaaababaabaaabbaaabbabbabbabbaabbbabbaabbababbbabaabaaabbaabaaaaaaaaabababbbabbbab
+abaaababbaababababbaaaaaabbabaaaabbaaaabbabbabbbbaaaabbaaaaaaabaabbbbabbbbabbbbaaababaaaaaababaa
+aaaababbaababbbbbbabaaabbababaaabbababaabaabbbbabaaaaaababababbbabababaaa
+278 97
+baabdcacbbabbadacbcabaabdcdbbbdaada
+baabcdbdbabbddbcadacaabadddcddacbbbabad
+babaaaacbbbadccbbabdcbcadcacaabcabcacbacaccddbdbbacdadbdcadadcacbadaacbbdabdbdadabddddcbac
+cbaddbadacabddabbbcdbbdcabc
+caadbbbaddbaadadcdaaabdadbaabdddacdbabbbccdccabcbccaaaabbbacab
+aabbddccadbcccdbadcbdddacabccacddadbcdbdcddccbdbdddbdccbaacad
+bdbcbcaacccbabbbabcdacdbbababdadbbbdbddaadbdbbaacbaaabbcaacddabcdcbaabdbdbcdc
+dccbddccbadbbccdbbcbdcbaccdaacadbaaddbcdbcbbaabdcaadadadcdcddcadacbabacaacacdccbabaaddabbbcd
+bbdcbcdacdabbcccbc
+ddacbcaacbbaaaa
+cccbbbaddccabbdacbabbdbbddcccbadabbbdaccaddcbcaaacabdcbdcdaddacaabca
+cbbcaaacbacbacbbadbcccdcadacaabddddbccccbacbdbdbddacdaaccadcbbc
+addbccccccabdd
+adccdbbbabbdadddacaddbbabdcbccbbcbdbcccacccbacacdbdcbcdbbcabaddbdbbcaccdbaab
+ccbbaabaacadab
+aabbabbdabdbcabdaacbddbbbbccabbcdbdbccacddbcdbccbbdbbbdddbb
+bddbaccaaddcdacdcdaaadcdcdbbbcbdbbccbdcadcbcca
+bcdadcbabbbddbcdddbadabaaacbabdcbdcbddab
+adccccddddbcbddbdcdadbcaddbaddcbabbdcabbdaacdaaddddcabbdbcbdddabddaddaccadadcabbcbbbd
+dadddbdaadadbdada
+cbacabbdabcaacbddcbcdccdcabdbbbacccdcdbabccddcaababaacdd
+bccdbaabadcbcdbccbadbcbcbcbcbacdddcadbbdcadaaaadcadadccaabdacab
+aadbdbbdbbcabddccdcdbacadbdabcbcbcdcadbaaababaddacdabbacddcbca
+cbdaddbcccabbcadc
+abbcdcddbdbaddbddcccbadabbabdaaadbaaabbdabaccadaddcbddcdbcacdacbbcbcabbbdbabbbd
+daacdcbddcbdccbdcbdbddadcacdcbdddbadacbacdcadccadccaadabdddaacaaaccbbdddadbadaaccddaaccdddabccababcbdadadcaa
+cbbaaaaccddabcacacbddadaddbadacadddcacbbbdaccccdbadbbaadbaadacadbbbcbbccacbddddbaacaaadccadaddadaaccda
+dcdaacdcbabdaacdadcdacacbdbddbaaddbcba
+adabdaddbdbabdddddaaadcaabadccbabbdbcabcdabbcacabdbdbbcbddcbbbbdccbbcdcbaddbbbadccccadaccacadccdbccaccdabbabd
+cdbdadcddabbddbcdccddacddddbbcccbbcacaaadaadabdcabdacbdcbbacbbcadc
+daddccabcccbccdacaaaaabccbbabddaaadbbbcdcbdccaaddddadbddbbaccdbb
+aaaaacdbbcdcbdccabcaadbdcaccccbdabbaacdccbadc
+cdcbabdaddbdaadabdacacabdaddcdddbcdaaaccccccbbbcdbbcdcddbcaabddc
+bdccacbcdabaacdbaaccbcdabcdcdadaaccacbbbbddbcbddabddadaddaadcbdbddbbcacacbcccddd
+dddabbccbccdccdabbbcabaddcdcacbcbcadbcbcdabcabbbddc
+bddcdaaabcaccacbdaaaadabdcbadcadcaacddbbdccaabacbacccbddcbaddaaaaccdcabacdbdababcaccbaddbcbacdddbdcacc
+bacbcacbacaddaaabcaddbbcdddaacccdddcdcacdcdabc
+bbaddacbdbaadbdbbaadacdbadcbabbbdcba
+ccdbabcabacbbdaddbaddaabccaabccbdddbbabacbcabbbdcddbbddddaddbcbdaabdabbdbcbbcaddbbcd
+bbabbcbbbbdcdacbbbbbbdbdbbddbcacbccbbdbddacabccd
+adacacbcadccdbddacbddddcbccabcbbabcccddacabccacbbdbaababbdaddbccacabbcbadaabbccddaacdadcabacaadddddbacbadac
+aacdbabdbcacadaabbaddacabcdcdaddbadaddc
+daabdbbcaccddccb
+dccccbaccbcaacda
+bdddacdadddcbabaddccbdbdaccbcccdcbaaabadcbcdadbbdabccbadbaccbbaba
+ddbddddbaaadccacacabacaacccdadcdaacbbcbaddcadcccadbdaadbabbcbbddcdccccd
+ddbadacbbacdacaccdaabacdcbbbddaccdbccdbddbcaddbcabcdaaccddcbabababcbcabadadcccdbadcd
+aaccccacabbaadddcdddacabaacbabbacadbbbdddaadcacaabccabcbdbcccbcdaadcdccccbbcabadcccadcababcdcaccabcbd
+accabdadcccbbdddcdabbdbdacab
+ccbcdcccddcdcadcddcdcddaacdaacbcaaacdbcbdacdcbcdacbbbbabcbcdbaaaadaacbdddcbccbcadcabacaacba
+cbbbdbbdcbccbdcdacd
+baaabacddacbddccbbdbaadadaddabdccadadcabacaddadccdbadbdb
+bbdbccacaabbcbcddaadbdacaaccabbbcdabcabddcdbbbabddbabddabacaacabbacddabcdaa
+adcdcddacdddabbabcbdaddadaacacbdabbbbb
+ddbdadbdcccccdab
+adcbdbddadabbdbddabbabbabc
+cbadaabbddcabbbddacbbcbdaabaabcdbdcccd
+accdbaabdbdadcabdcbaccdabacaccacadbacdccdbbccabcadaaaababdcddcacdbd
+abcaddddbacbdbcbdbdcdcbcabacbaddcdadbaaaccddddbdccacbdbcddbbbaaadbddcbcbab
+adcbcaacdbadcaddacac
+caddaaacbbdbbcccbbadccbdcacbdbbaadbabcdbcabcdcdddbbaacddab
+abaccdbbcbdbbabadacbcacbcbccdddddaacbaccbbddabaabbac
+babaddacdcacadadbaccbacddababaacbccbabdbddbdbcbacbbbaacbbbcbbdcdaadcbbdcabcccbbbcbcababacbcadcdc
+cbbbccdaacdaddcacbbbbcdcabddaaaadbbdbbcaaabdadbabddcacc
+baddaacaaabbdddaddbcaacdbdbbadaddadbdbbacaadcdaddcbabbaaaabaabdbdaaabaacadabcabbacdbacdab
+cbdabaabdacccccbdadcbbdccbcaadbbaabaaacbababcadacadaadd
+cbaabccbaacacdcaabacdacdabdabadbcdbdddacacbdbccadbcacbcdaabdabdabbcaadcbabdbdbadacaaabdaacbabbcabcda
+dadaadbdbbcacbcabbccbbbcbbbdaddbbacabcacbbadbabccdcdbcbbbcbcbbdbbbdbbdaaabccaaaabcd
+abdcadbabdcdbaddabbddbbdaaca
+bdcdabbbccdcdcbdadaabaabbaaadcdabbbcaaacadddaaaddccd
+dbcadabcadabddaaaadcbadbcbaaadabaccabcbabaacaccdbcdcbbbbd
+bdadbddcdacacdcdadadcdacdcabbddbaddbaadadbddabababaadcdbcabaaacadaaadcdbba
+bbadadddbbcccbcbcccacbbbcdabdaabdbaaacab
+cabccabdcbadddcbaacbdadcdbdbbcbabbcd
+bcdbbcdbcabdcacbacabdcdcbbacabcadaabadcaaaadcbcdccc
+dbdcabcadbaacccaaabaacccaccbbdcbdbabacacacdaadcbdbccbabbababddbcbbcddbdccbcaaaaaccdbdaaaacbcbddbbddabadac
+aaaadbdaabcadccbbdadaacdbbdabbbccbcaaadbacdcddab
+aaaadbbcaabbaccbadcdbdcbcabadbbbcbbbbbbadcbddaabbddcabdbcddbacdbaabaacabdbdcccacdccccabaaaaaaccabbdb
+cbcccbadcbdbdbbbddbaacadcddccdbddccdcbdadaadddadcaccdba
+badadaadcadbcc
+cacadadddadcacacbddccdacbabacbcdccddabccaaccbbdcbcaadadacbbdbadc
+acacbadcbdbbaacccbddadcadcbddaadcbbbdcccbdbabacaddbbbbabbbc
+bcbddbcacca
+cddbddabcdbbdacabcddaccabbdbaaacacdaabcccbbddcbcabbcbaccbcdcbccaaababadddaddacbacacacbdadccdccbbb
+badbacbcabadbcadbabbddaacbcdbbbcbddaabdabbccadaccccccddcbcbcbdcdcca
+caddddbacddaaabbbaddcadcaaadbacdaaacdbcaacbdaaadacbbcdbbddccbaadabdabdccdcddaacaa
+aadaccaccabbcdbdbaabadbbdcbdacaaddacbab
+cbacaabccddcdadcbdbdbdadaabbcbddaaadadbdcdbaadacdbbbccbbcbdcdadacbcdbc
+aaaacadbcdabcbbcbadbbbaaacbcbabbcccabbbcaaaabbaaddacadadbdbdaababcbcdacdcccdccadbb
+cabbdaaaadbbadacadbcdbbbadccbcaabbbcbbccdbddcabad
+acccaccbccdabbdbdccbd
+bdbadbdadddcbbbdcaddacdcdcabadacacbccbcbdbdcbdbcbbaacaacbbdcbbcadaacdccdccdbdac
+dcbadccbdbccbadcdabbbbbcabbbabbbad
+bacbccdadddaabdcddcdbbdbabdbdbddbbddcaacbb
+bccbaddbbddcbbcaadabcccdadacdbbdc
+ddcdbabbcbcddbccdadbdddcacacaaabbccaaacbaddbaabc
+caddacadaadcdabbddaadcabbbbcbababccdcbbaaaacbbccdbbbdbddb
+bbcdbdbcbbdddbcbbdcccddabaccadbccaadcdbbaccddbacadccbadbcbdcbaccbcabcaddbbdddbbbadccbddcccabd
+cacdaccadcabdbccbcaacaccdcdbdbdcad
+cccbbcddbadacaddcdbacdbddcdcacbcadaabccbbacadbdddcabdcbdbdcbcacdcbadbcccdabddaadbabaddaadacdc
+caccbaaccdbdbccabcacaaabddcdcccacaccdbdabdabbdbbbaabdaabaaccddcddcccbccaddbabdbddcbaabdcdabdbcbbcddcba
+bacdbcaacbbacaaddbadcccdacadccbacbaacacdcbbbacdbacddbcbbac
+abcabacdaaaadbaaccaddacdbcabbcaddbbdcabbbbbdcddcbdabdabdccbbbbcddbbcbacbdddcdc
+ccaabdbcdddccdbdaaaddcbdcaabccbbcccdcddbaacbaaadbadddbabbaadaacbbccbcbddcbcdbbcacbabbdabbbdba
+bcccbcdcabadbdbcbcaabbabbbdcdcdccdaacbdacdadaccadbbcbcdaddabaccdcdbdccabadaabdcacbaaaababbaacd
+adacccbadabaacccddcdaccaaacaccacacdbabdaaadbbcabdddbcacbcdddadbdbabbbbccaacdcdbbddc
+acadaacacdabcdbcaabdadbacdaaabcdabbacbabaddddaabaacadbdbcbaadabaaacacaabbbca
+dacbaccbaaabdbccaccabcbdbdaddacbadbccdcddbabbcaadbbadbccbbaacbcbadcbdaadccbcccdbccbaaaabbaaacbaadbb
+acbacaabbaaacaaddcadadcbcddbbcbabdabbdcbbbadbaddbabacbcb
+cbccdddcabaccbcbdbbabadcdbccbbddabcadcdacbbcbccbcbcdabbcdcaddcccdbababbbcaaccbabdddbbdbdadcaacdbcd
+ddcacaaabadbbbbabdbdabaaccbdabdadbdaaaadcc
+accaadcbdaaccdbcbadbdbabaccdcbcccddadadbdadddbdbcddccdccabaadccddcddcabbbcbabcdcaaaacbbbbadaccaccadbc
+bdaacadbdacabbcdbbbbdaaaccaadcbccbaddbdcacddabdcdcdddacbdbb
+aabbabdcadcaaadbdababcccbbbbdbabdadbcabccdababccaacbabdbabcccaddcbadbdacdbccdd
+baaacaddad
+abaabaadacbbddbcbabdbbacbbcaacdadccbacadddcc
+dbbcbaddaccdacbbdbaabdccbbaabadcdccdddbbdadaaabaddcbababcbdbbdabccacccbddaccdcacbcbabbdcdaaaabbdacbcacbd
+dacdacdaaca
+acaccaccddadadcdcaaacbbbcbbdadabcacadab
+babccdcdcdaaacaddcacdbdbaadccdbcadd
+acdadcddacadcbacdbcdabbcbbaddbadccabdcabdcdacacaaabcaacbdadad
+bddabdaddbacdddcdcdcabdddddbddcddabbcc
+dcccdbacddcddadbbbcbbdbdddbabbadaaddbcdbdadcbbadcdcccdaabdcccdabdacbc
+dccbbbdaadddadddadbadccbadccdbbbcbaaaadbcadaccdabcccabcadabbcaabbbadcbcbbcbacdadadccacaca
+abdadbadcaaabbbbcbdbbcdabdcacbcbcbcccaacccadbbdaacccbdccdbbdbdcddbccdccddcdcddd
+cbbcbbddadabcbbdcbaaabbddcaddabacdcccadabdcacddaacdabddabddabcc
+adbaaaadcdacaddcbababaabdbdbccdddcdaadcbddbababadbbdabbbbacddbaacdaacbbbbdccaadcdcabccbdcdbbcccd
+bbdbdcacccacbccabaadcdda
+bdddccbbbba
+cacdadccbaabc
+bcbbadbdaabcacabcbcabacccbddbda
+bbcabddadbadcdadccaccaaddaccccabccadcbbacdbdababacbcdbbbccadccbddadacadbab
+adabcabaabbadab
+dccbccbaddaabbdaaaabdaddadddabadbdadbbadcdacdadddabdbddabdcdabacbc
+dcbbccaccababacbacabadadabbdacbbcaadbbdcdddcaddcdaadddbccbcdabaadd
+adaadabbbacbcbbdcdadaadbcda
+bbcbcabdaddaabdacaccdaabbabdabadccdabadcabdd
+bddbcdcbaacbcbbbccadbcbadaaabdbdbabccdaccbaabdcccbcccdcaaadbcbadbddddbabbcabbccadcdbb
+cbaabcabbabdddbdabbcaaabcdaabaccacbbbdddaddddabaaddcbcaabdddacabaddabdbcdbba
+cabcabcdaaaabaddabacbdb
+badcaacacddb
+adabcadccbdbabcadcabadbbdbbbddadabaddcdabcbbacbaddbcbacbcdadaccbbcababbddadccddccaaddccabbabbddbaaa
+dbbdbbdbccddabdacdcacadbabababbcbcacbadbcdccbdbdbbdcbbddaddcaabadabaacaacdddcccdbdcbdbbcacdb
+cabadadcbddbabdbccacbacdcbabbddaca
+acbdcdabddbcbcbaacbcdccdbddccdaaaddbaccaacaccacbbdcbbbdcacbaccbcaadaadccddcdaaacbbcdabbacba
+bcddbacacbaaabdcddbacdddaacabcbcbbcccddbbcaacdcaddabadcbdbddccccbcaabddcdacddadbbbacadacbbbbdacdacaadbadcadc
+aabcbdccbbbdbaacbacaacccbacadacddccaabadaaacacdddbbdaccacbdbabbdbbcdd
+bdcbadaddaaadabccbbacdacaaabaaacdacba
+babacdaacbadbaacbbddbb
+caccbbcdccdbcdababbdadcbadabaddcbccddaddbccaadb
+bcdccbbbbbcababccdaaadbdbbdaaaccbcdaabbbcbcdddbaccbbcbcadacddcaabbadabbbcdacbadb
+bdcbbccdacaababbcdaabdbbabdddcbbbbaaacbacdccdcadabdcddbabdaccc
+acbacccdabcdddcccbbbcaccbbadbbcbbdababbdccbcacbcdabaabcddabaacacbcbbdabbbdabacddababbbcbcbcbcddccbbbcccbbaccc
+cddacdcacbaacadddacbdcddcdacdacabcccdbdb
+aaabcadddcdbaccdaabbaccbbccdddabcaddabccdccbadbdabdcacccddbbbac
+bbdbcaabccddcdcaddbcbdbdbdcadbbddaacacabddcabbcbddacbdcddadbbcdbcadc
+baacabbbdcc
+dadcadbdbcdabcbacaaadcbaccdacccdbbdbcdbaadbcddbbbdbcdadaa
+cabdbcbdbaadcdbcbdcaccdcaaabcbaaaddcaddbdc
+adaabacaccacadcadcdcddabaaadbbddbdaddabbaddcccdacbdcbbcdcdcbcabdccbdddbbd
+adcdabbcdccbdbdaadbccacdccdcdcbbbcddbdbadacdbddabacababaaddccdadabcbbccacbddcbc
+cdaaddcacdddcbabaabddbababbabbcabbcdbcabbdddcdbcddccbcdbcabdbbdaaabcaccacbcbcbc
+cbbbacaabdaddaccddadcaababdbbaadccccabb
+adadddbdbbdb
+cacaccdbbcdccddacbbbdbabadcabaaaaaabcbabacaaddacdadacdcdcbaacddccadccbdbddbdaaaccdabbacaaaaacbcddaccbcbab
+dbdbcbacbbcbddaaacdcaaaabdcdbadbdbabcabccababddabadcadaccbddcacbabdcca
+aadbaaddcaccbdbadcddaabaddacbdbcacbbbabdbdbdbaacabdcbbcadbaabdcbbdbaaabadcbcbaccaccddaddcdbdb
+dbbbbdabaabb
+aaacadddcccabdadcccdabdcdcddbbabcaadcccbabcbc
+baabaadbdadaabbccabcbcbbbabadcadbdbbdac
+abacacddacbaacbbcbbdadabbcabdddaaccddbabcabccdddbcbbdaabcbbdd
+dccdccbccadddaacabacbbbcdcadbaaabaadaccada
+bbcaddddcbadabdcbbdcdbcbcbccbbbabacdabbaabddbcbbc
+ddaadaccbdbcbccadccddccadcbbaaacccadddbdd
+bccddcddbbbccabddbaaacccdaadcba
+ddbbdacccbdaabcabddaacbaccdccabbacbadadaddaddaacabdaaaaaaaabcdddaccbcdabddbadbacabcabbadcdacbbbc
+cabcddbbbadbcbbcacaaacacadada
+aabddacdbaccaccdddcbdaababcaabadcc
+acadbcaddbd
+ccaadbacadaacbccdbdbbcddbcdcbabaabbddcadbcddabdcbddbcbdaababddacbddbdabddccbadadab
+dcdcdbadbcaacbacabdcbbbbadcdbdbbbddbbbdbcdbadbdbacaaaabccbdaacaacdaacbccadbcdcddaadaacb
+cdabbbcbabbabbabcdcdcbddabbdacccdaabdacbccbbdbbcdbcdbbcccdcccadaabaaaddbbdabbccddddbccbccdcad
+cdccaadbcbaabdadbcdcdbaabbcbbddcabcdacddbbadbdcababbdaddadaadbaab
+bbadbbccabccdddadaccadabcbdbddbadaabdbcbddbadbbddbada
+acdbabdbdaccbddb
+ddacccbbdbdccadadddacadacaaacabbaacddaabbaccabacaadbddcabbdabdacdacadaccbdb
+abaaaccaccdcccccbaddddcdcdbcccdbcaddabbaccadcdcbbbcdcdbbaaaaacddaaacbaddbdacbabadcdbababaaadabbdbd
+dccbbdbabdababdbdbacdcbcbbbddadbacdbccdcacacdccdcbbbbdabcddabcbc
+aaabaaddddccdacabbddcdbbdbaccdbaaacacacbbaaccddbabadaaabbccccdbbdbbcaddcacdddbabab
+adccdccacddcdac
+acdacabdabdbbbabadcbdabdbacccddcacdadcbdbdcaacbcbcdacadcaacadbdadabdddcabbccaacadc
+daccabcdbadccbadabcaabcdaddaddbbbacdcadbcaabcabcabacaabcdddadaaddadbcddacbccbbccbdbdd
+abacaaaccddcacabbcaccbdabccacaacdaabbbdb
+badaacdddbbadcaadcabbaabaddcbdbdbbaabbacbccdaacdbcaabccccab
+aaddaadabcbccadbcaaadbdaadcbaccdbabbdccccacaaabcdadcbcaccd
+cadbcdadcbadcbaacabaaadbaaacdcbacddaccadadabdbadbcacbcadaccddbdbddbbbabadd
+cbdcaaadabacabddcadaaabcacdcabadcdaddcdbacaadddbabdacaacdddb
+dbbcdcdcadccbdabcacdbcbabcbcdabdcbbadbbacacaadcdacdaadbbcdadbbbacaccabdadddaadbaddbabccccbbcaaddaadbdacc
+dccddbbacdcdcdcdacbdaabcbcbabdcbacccccaacacaaaacbddcccdcbbbabdbccbdcaaddcdbcaabdcbdabdd
+dcbdcdaacddaacccdaccaadccdbbabbbaaababbdaaddacdccccaadcdcbabcbcabbbbccaaadcdbbccbbb
+bdccacdaacddbabbdcddbdacbacbadbdddadcaddbdaccaadbaabaaddbcbabbaddadcddbdacccdabdaacbcacdadcdacdddaa
+ddadadccbbcdddccacaaacdbcbdbdacbdcddbcacadccdbdbdabcdbddcbdaaaaacbbabdccdbac
+addadbdcabccadbccccdcdbdcabbddbcabdccacdbaccbadaacbacdcadaadcbadbdcbacbcdabbbb
+cbccdcdccdcbcdbddccbcddbdadccdbdbccddcdccc
+bddacbdcacbddddac
+bbcaabbdbbacbbbbcddccdddaaacdacbacdbccaacbacabdccddbbcbabaad
+ccbbcabdbcaacbabadbabdcaaadbbaacccdcdcaacbcadaabd
+dbbadbcdbbacbdcccbcdacaababbadcadbaabbabcaabdbbcaccccbcbcbdbbcacdbbcbdacbddbcacaaa
+adbbbdbdaabaccbbbdbbcbdcadcbdbacaadabcbaaadcbbcdabbcbbcddcacdababaacbaaacddbcacadbadacdab
+bbbdcadaccbcdbaddbdbdaaaadcdbdcaaadcdcbdbacddbcbabbabdbccbcdcaaadbaabdbacabbcadbbaccdaddcabbbddb
+daacbbddaaddaaaabbdadcbabaabccabbddacbcabadaddcdcdaabcdabbbaccaabcdcacbadcacbbacdbbdabbccbbcbabdadd
+ccdcdadabbbbabcdccaccdcccccadbdadccdbbbbb
+cbbaaaacdddccacccdddaaacaadbbdabbadcbbdddaabcacbddbbacddbdbdbaacaadaccdddbaababddddbadddadbaadbcbbaddcababd
+ddcdbdddbabccdbbcdccbabbdababadadcbcdaabcbdaaaddcdcaccdccbcabbbdca
+cdbaddbabadaabdcabaad
+ddaaccddaaabaaabcdcbccdddabcdadddcadcbbadcbd
+bcaacbdaadcadbabadbdbdaadbdcbccbcddcccddcccddaababadbbdbbbdb
+bbcdbaaacabdccdabcdbdadbcccdcddcabacccacbaacbdacccdcdacdbcabaaccadacbcdbcadbbacacbabddaddbddbbaabdcbdddbcdcdb
+bdcbdcbcaaccdcadbbaacccdaaabcaabccbcdddcbbccbdbdcaadabaabddcbabbbbccdcddbdcaabdadbbcbc
+dbdbaacbbacdbcccbdaccdbdbabddcaaabccbaddbadaddbbdcccbbcbabacdaadbbcbdacabcccddaabaccddbbabdbdabbbcaccdc
+bcbbdbdadccdbdbcabcbbcddadbcdacbbcacbdaacbddabbdddcdacdaabdacbdcdcccacaabddbdbbccbadabbdabdcdca
+dabcaaddbdcbdbacccbbdadaabcadcaaddabcddacbbbcdbdbccdbcbdb
+cccabbccdcdaccbddcadaacbacadcbb
+bbbbcaddcaddadbabdcaabad
+cabdddababccbbdcaaddacdbadcdcab
+bdcbabdddcdcdddddadcacbadbdaaddadb
+dbadccdcaaacabdcdabacdaccabccdcaadacbcbbbdbbcacbbabcbdbdcbbbdddabadaddacb
+dbddcabdcbcdbdccaadacbccddabaddcdbaaaaadbcaadabddacadabbabcdabcacbbabacdbcdbdbbbdddabbadcdab
+cbcbcdbbcbaacdbbcacbdcdbdbcbbbcbcbdcccddcdadbcaddbccddbbbdcaddddacbccabbbcbddbabbadbabbdddaacddacadcddbccb
+cbdbaadcddccc
+cccbadbabcacaccbdbdabbbbdcabbdabbbdabcdcdacbacbddcbbbaad
+ddbcabcbddabaccdbbcacbbbaaaabb
+cdbdbbdccdbbbaacccb
+cbcabbacbcbbbbbacdbccacdabdcbabbcacdacadbddbdbbcbbbdcccbbdaaabdbdaddbbbdccaabbbaaddcdabdcbccabdbcbbcb
+cbdcabccdc
+aaabacadadddcddbcaa
+ccaaacbdbdadacbabdbdcdddabccbcacddcacdccdacc
+ddacbadcdbbdaadddbabcbc
+cccdcaadabccbacdbdacacdccadbacadcccbcaadacbdabbaaaddabbdcbdbdcbcadcacbadcbcaccdabaaabcddbdadcdccdcdaddaa
+cadacdcbcabacaaabbcccadcdcacaaabccbbdaccdcabaabcacbdacacbdcccaadadcddbaaccbdcacbbacb
+ddabcbcdadbdabaddcadbaabdcac
+ccacababbbaddddacaaacabddadcabcbbbbccdaaaccdccbbdaccbbadabcacdcd
+cacbaaccbaacaddbdbccbacbcabacaadcaddcabbbbacdabcaabadbbbabacabbdbcadbaba
+bdcbaddabccacdcadbcbadbaddaccddbaadbadadcbcdccdcbacababbdbdbacbbaaadaabcbadbabdbcbb
+aaacbadddbdbdabcacacbcddacbacca
+ddcbbbbbbddabddabdcdbbbaccddabbbabcbbddcccbbbacbaccacdcadbbccddbdaababddbdbb
+aadacdaddcdddabcacadabbaacaccbaccaaabaddaaaccad
+dabddbcdacbcaccabcbcbbdaddcbabbcbddbccabdbabdddcbbbdacacaaccaccabc
+bdbabdadcbdccbdddacbadcbbbddc
+dbacdcaadcdccaaabbd
+daadcbdabaadccaadcadbadccdddd
+adcdbcabbcbbbdcdbddcadacbbdabcbdbcacdcabbaadbbccbbcadadabcddcacbbc
+daddcdaadabbcbadbbbccadaaacddbaaacdcaabacdbbbbddcacaabbcddccacbabccaabdbbb
+dccccaddacdabdcaccadcbdddbabacadbcbaa
+dadcccddbdcbddcdaacddcdcacbcdcbdddabbabacdbabcbcdaabbcdbdaaddcbbdadbbdccaababdb
+aacaddadddbacbcba
+badaaddcacdccdcbdcbddaabbadcaaaacdcbcacbac
+bcaaabcbcdbcbcbddccdacbcdbdcaccbdbabaabadcdbdcaacbbbdadaacdacbbbadababbdab
+dccabaabdbdacdbadadabdaaddddba
+dcddadcdbdcacccadcdcdbbdcdabaadaddacabaccc
+dcdbababdcaabacadbaaadaccaabbbcdbcacaddbabbcdddbcccabadbccccb
+cabdcccbddabdbbdacc
+dbdaccadccacddabcdcdccabacdaacbaadbaddddcdabdbdbbcdcca
+bbcacaaddbdadabcbcabdccbccadacbdaddbcabaadcddadacbddacdccadcacadccdbaccbcdbccaaccdbcadbadcaddcdbcbacdacacad
+bcdcbbdcdaccbabbcdddddbcacddccbababaaccbcbdacaccadacdaacabaaacbddadaaabacdabbbbd
+adbdddaccbbcdcaacccacbddacbbddbdbcdaaadabbccaaddbbbdaacddbcabbabc
+baadabbacdabdcadaabdcaddcabacadadbbcbbbcbabbacaccddddacbbba
+dcdabcdbbccddcdbcbdccacbdbcdcadbabadaddcacadb
+ddbdbdaaadbaacaaaaaabcbccddad
+bcccdcbbbadcaccccabaad
+babbdbadbdcbdcadbcbdddabbabaaabccbdabdaabadcbd
+adcaabcbdcdabcccdbbcdddadbabacdbaacbdbdbbacabbcdb
+dacbbbcccbdccabbbcbccabadbcdbdccbcaadcaacdcdbabdcacdda
+adbbddbcacaaabdabbadadacbcbcbdcccdcddbaaacabacbdacaabccddacdaaabbddccdcabbbbcabcacbccadabbbadaaccbdddabdcab
+bcdcdaccbccbadbbbbdacbb
+dbdadaccdbaca
+cdbaccddccddcbacccabbdaabbcdaccbcbbdbacdbadca
+aacbcdcbcacabdcbabccaaabbbbcbdacdcadcdbabbadaad
+17 11
+bbcaaacaaabbbabbacaaaacaaacaaaabbccbccaacbaaaccbbabaccaaaaaa
+bacbaacbbacc
+aaaaabcbbaabcabbaacbbaacbccacccbcaacaacabacaaba
+abcaccbaacabcbbcabaaacaaccbbacbcabaacccaccbccab
+aaabccbaccbaaccabcccaaacbabacbc
+abccaacacabaaabbbbaaaccc
+bbaacbabcccccaabbbbaccbbcbbbacaababbaabbabaaccbbcacccccbcbacaacbbcbcccbacbccabacb
+baaccaababcaacbbbccaabbaaccacbcbaababbaccbbbabcbcabaabcbbbabbabbcacabccbbcabbaaccbcbcccabacbcabababbbbacbbbb
+cabacbccbbbbaaabbbbccbabbcaacbcbbaabcbabaacbcccaabbbbaababcabbbabcaacccbb
+ccacaaccbcaaaacbbcabbcbaababaabbcacabbccacccacbccbcbbccccccbbbabcabbaccbaca
+ccbccaabcc
+baabbccbcbaacaabacbaaaccbccccacabbabaaaccbbabbcbbcaaccabaccbbcbbbacaaccccabc
+aacbabbacbcabcacabccbbbbaaaaacbcabaaaaaabaababaaaababcbbbacacbbabcaaacbaaaabaaabbccabcaabcaaacabbccbbaac
+cabaccbcbacaaacbaacbaccccabbaccccccaabacbbcccbababcbbcbbcaaacbbbcbcbaca
+cccabcbcccbabababaabacbccbcabbcaabbcbcccaababaa
+cbbbccccbcbcccbabccabacabac
+bcaaacabbcaaacbcabcaccacbacbbbccbaaaacbbcaacabacaababaabcccc
+219 83
+dbddbdccbbdcaadccdaacdbcccdac
+bacdbdcdcdacbcbcaccdacdbacdaabdadcbbdddacbddddbcbaddacacbccbbcddbddccbaabbadcbddcbabddabd
+aaabcddddabdbcdddacacabbdbaccaddccddbccdbcc
+dbbaabadbaabcdcdbdbccbdcbdddcbcacbcbdccbbddbcaddbdbcbbdaddcbddbaaadabcc
+ccbbaadaccbbbbcacbacdbcaaddcacbddbcaccdbcbddbbcdc
+cacbcaaddabbaadacbddddacabdccacbcbbcddcaacbcdadcabaccdddabacadddacaaddbddcccbbcaadbadcdabbddcccdbcbcadcbddadd
+ddbaadaccdccdcdcbcccdcbcdbdbacddccabcdbcddcbddbbbbbcbcbcadabadddabcddbadbbdbcbcabbbcbcbba
+bdcbbbccdbdcdbddcdcdbadcddddbcbbdccadcbadcdabcdddcdcdacccacadbdbaddcaadccbabacddcbbbcaabcbcdddadcccdbd
+cbdcbbabacddbaddabcacccbdb
+dbbbaccadc
+bdaabbdddaacdcadcddcddbadcccccbcdccccbacacabacaccbbbadcbaabbbcccdcbbbaa
+aabcbdcccbbbabbacaaabdbabbaccaa
+badbbcbdcdcbadacbcaddaabbbbcadcbacbbbccbdddadabbddcabdbddbdbbbddacbbdbbbcccbaadbcbbdccbabcaacb
+cbccdcdddbaccadbaacbddadbaccaacacabcdcdccadbdadbadaaddcbbdccbadb
+dbcbabdaadbaa
+dcbcbdccbcaddaabdccacbacabadbcbcccaabcabdbbacbbbadacbcccdddccbadcbadcadabcaaddca
+cdacadaabccbabdbdcbacabdabbcacbadbcddaacbbcdbdddbbdcadbddbbacbbcbcbccdbbddcdccabbddbcbcccdabcdddab
+dddababddbbbaccadbbbcccaccbdbcbbaaaaddabdcbdacadbcbdabdbad
+cbcbbbaddbcdabdaccbcccbcccaaabbbdbbdadabccdccbaaacbcdaabbdbccbbcbaabaaccdcbccadaaadababccaadd
+bdcabdababcacdbcbbbccacbcadcaadcbbabcaaaabc
+cddbaabdcdbabbaaddcddcaadcadcadcdddacdbbdcbcdcdcacaddccbadabdcdbabaacbdcaccbc
+abcbacbabaabdccacbd
+adddacadaadbcaaaabaabcbdbdacacdaacbddaabccccadbbaaccdbcdddb
+bdbcdaccaadcdaad
+abcdbcabbadabcdbbadcdcdbadadbbcdbdcadbc
+bcaaadbdbdadbdadcbcdccacbdbbcaacabddaacdbccbcdababdbcccbccbbddbadddbababbdccbdabbdacddd
+bcddcbdbadaddaaaabbdabbbbdbcddabbcaadaa
+bacccbdccadada
+aababacccbcbdcbaaaadbaadbaacdcacccbbacbccdcadaacbdccbccdbbcadddaabccdbbaacdbdcbaabadabcbabcadad
+dccdbcbaccdcabdacaccababbcabadcdadbcbaabaddaabcdbabbcdcccbbccdacdddbabaccdcd
+cdabadddcabcadbbbccbdbadaabbabacdcbbdcbcbbbbccdbcbdadabababcbcdaadbadbdadcbcbbdcaacbabdddcddcdbbbabdb
+abcdccdabbdddaadcdcabdccaabdddbabccadaabd
+dbddddadcddabacddacddacdc
+bacbdccbadcdabbcaaaccdacbbbdccacdbacacdcdddabaacabcddadbcdccddd
+adccbacdcbaddbbaab
+dbbaabcbdbcccddcbbbacadcbddcacccacdb
+baacdcabbcdbcababdaddabbaddaadaacaadbdccdaacdacccccbddadbbbccacbdadadabbdbbadccbcaaadcddbccdbabdcbdbbcdc
+dcabdbcadaaddbaabcdcdabacbadcccddadca
+dbdcaddacdbcdbbcaddccddddcbccdccadadbdbccbaaccaccdbcdcdbcadabcdacadcdbaddabcadaacbaddcadadabcaacbabbaddabb
+aabbabbcacccbdabababdacacbdcccbbccaaaaaaadadcbcdcdbacbccdbbdacdabadbbabcabddaadc
+aadbbaacaaabdbaddaabacaaadabcadccbdbbdcdbccacabbabddcca
+bcacbbcabadadccccaadbbbdbbbaabddbdcdcacddbccccaadbbaaaddbdcddaddbbbbdcbacaaadcdcd
+cdaddbdbaacdb
+ddabcbcaabacbcbcdaabaa
+bdcbcccddbadbdcdbaadcccdbcdcbdaacccabbacbbccdbacbdcbac
+dbddaaaccdaadbdaadcdaabbbdcdcdabcccadacdccdadaabbbcda
+ccaddadbacccdcbcbbaadbcdcdbdcbbcdcaddbbaadcccdcbdacaabbabcdbdcdabbadddbababdacdcdbdcccbaacdbcbbdacdbcdbdaabcb
+aaccccacbddddcddbcaabbabdbdabcabcaacacaabadadcdcccaabcaadccabccbdadbaddccdcddabddabadacbacbcdbadcabc
+dadbbbcdccbacccdccbcccdabaddddbdccbbdddaddbcadacbcdadcadbbcc
+ccacacccddaddbdcddabcdddaabcabbcbadcbccaccdacaabaabcdacbaaccacc
+dcddabdbdadcadbdaacbacbadaaaacccbcdbbbaacccddaaacbddbcbaaddbaccdbdcabdcbccaadaaadcdacdccbbbb
+bbbbbbdabbcadabdaaddcaabccaaccdacdababaccddc
+bdddbbddcbcdbbbbaabaababcbdccadccbcaa
+bacddcadcbdacdddcdabdcccdacda
+acdcdabbddcbbbbccbccabaaadbbaabccaccaccddcdbabbaaacacadadcbbaabbadacc
+bcbdbdcaaadcbacddccababbaaddcdbdbddabddbbdadabbbacbbaaabdbcaccababaccbbaaddabacdcbcaaacacababcdcbaadcaaccd
+bdcbddbaddabacadadcbbabcbdcdacdaccadccdbacbbdaabddcdcca
+dbbcbacdbbcacbdaabaaaabdbdbdccadcbabbbaaabddddaadcbabacacaddcaababaadabcabbddbcccbadbddccbddaa
+acadbdcbbbdbccacdddbdbdcbbdcaddadbcbbbbdcccabcbbcabcacdbbcccdddcdacddddbcbadcbaadccccdadddd
+cdccbcdbccadcbabbccbcbdcccbcadbabbcddccdbaadcbdcddcaabdabaadabbadbdabbbabdcbddabaadcbabddbbbdc
+badabdcaccbcbdadbdccdadddcbbccaacbddbbccbcbacaddcb
+cdaaacbdbddccadcbdaaacbaccdcbaaabcccdbbdaaacddddcabcc
+bbdbbbcaddcabaaccbb
+baadcbbcabbbbbccbbbbdaccbaadcabddabccdcddcbaadcadcaac
+acbcdbdcbdabbdcddbccbacddadcbabdbdcadcbccdcaaccbacdccabbddaaadbaadcdbddaaacddacabbccddccacbcba
+cacaccaacbbdabbccbadda
+adbdaccdacddcabdddbabdcdcadbbdca
+babcaccbdacbaabcdaddccabdcdbdbacdbbcdcbbccdaacbaddbdadbcdabdabbdccbcdbbdcadacbabddadcbbbdbbcaccbbbcbcccbdbb
+cdaddaaaccbdcdddccddcdbcdbcdadbdbc
+cdddbaccacbbaacbbabcbbaaadaaabbdddcdacddadacbddcbbacad
+bcdacacaaccadadbbccab
+abdbadcdaadccdbacaababdadbabcabcadbdbcdacbbbaacaacbbdabbdbccacbbcbbbdbbadbdcbccdcbbaababbcddcdcddcbaccdcaddb
+cddaddbcdaadaddcdcc
+accdcdadadabbcdadacdaadadddbab
+dcbaacccabdaadacddc
+abdbdbddcdadcdcdbcbddbabddcdbaccbdaaaddbdbacabbbdcabcbcbdadabccbccadbdaccdcc
+bcbadadddbcdadddccdbcabdbdad
+dbcdbbddddbcdbbaaaaabacacabdb
+cbacdbddbcdaccdbdaadcdbadcbacaaaccaacacad
+cbdccbbdbdbabbacddaaacbbbbabaccdacdadcdbdaadbcbadbbadcbcbdabccdbbddabdb
+daacaacbbcabcbbaddbdbadbbbbaccabadaaacdadcc
+abbcaddabaadcddaabdbadbcadadaaaaccbdbddbcaabddaddddccdac
+aaccabcbdabbaaabdbdbbacbbbbbacdaddbccbdadbaadddcdccaabcbcddaaddbbdcbadcaaccaabbacdaaa
+ccdbaddcbdddddcccaaabdbdbacbbdccbadbcdbacdbdaabbccababadaabbcabaddadcadadbbadcaabdabcbdad
+ddabbcdbbacdbaaaaabacccaacbdaadbbaaddddbbaaccacadddcdcadba
+bddcbcaacadcbaababcdaabbccbddabbbddbcdacdbdcdcabcdbc
+badbddadbcacbaabccbdbccb
+dcbbbcbcaccacccbadacbbbabaabbcbdbbbdc
+bcbbaddbbdcabdccabbccbdadbddcbaddcaacdaddbabaacaadc
+bbadbcbdcdcbbbdcabaddadcba
+aaadbdabccdcccdaccbbcbddbcbdacdacbccdbdccbbbbbbcbcddbaddcbadddcbcacdcdabdabadbabdaccaccdaddacacbdababacaac
+bccadbabbbabbbdbdaacdcdbcabddcadccabadddcdddddddadddabbadcbbadbaaacaddacaac
+acdcdcababddbbcddcbcbdbbdcdcacdbabccc
+acabbcbcadaacabddabbcbbcbbadbdbdabcdccdbdbbcbcdaaadcccbcabacccd
+bdcdcbbcabaaadbdbbaaccccbbdbccddabdacddddbddaaacdaacbbacbbacd
+cdcddcbbcdbabadbcabbd
+cacaabcbdcadccab
+dddddcadccdaacbabdcbddaaabdadbdbcaccacaacbadccdddccccacdaabbbcdccbccadabcdccabbdcdbbdadcbdddbbdbadbaadcb
+ccaddaddbddcaacbadbdccabbadaccbabddaababbdabaccbabbbbdb
+ddaaddbcacccccdcbc
+acabcdcbcbcbadcaaabcaaaacaacddabbccddddbbcc
+dcadccabcdaababdbadbabdbcaacbdbbaabcdcacaabbbccdaadcdaadacacacdadcbddaccbacdaddaadccacdabdcabbdcd
+cabacdacbcabadbd
+ddccbbdaccdabcabbcbbaabbacaadcabbadccbacdcaacdbbdcdaadbabacabbdbacddadbdccacbaabbcbddbaaabaaacbdccadcd
+caadbdacacdbdbdbbdaacdcccddddbdcccababdbcbb
+babddbcddaadcbbacaddbbaddcccbbacccddccbccdbccbdcbbacadccddcbdadabbadddaddccccdaaaccaabaabdccddbad
+accddcaaccbdaacccdbbbdbabdbcaccabbaabdcb
+ddcbcdbcbbcddabbd
+aabcdabbdbdbabacdcdcabbbddddbabacaabccdbdadcbdaccbcabdbaaadacbcabdaadaabcdbadacacdcddcddabcccacd
+babbcdbacccdbacbababbbbacdcddabdadacbadcaababcdaacbabbaadcaaadaaacdbbdbabbbabddcccbccdbcdddcbcabad
+dcdacbdcbcadbcdadbdbccaca
+dddacdabdbaacaacaacaabbcabdbabcccbcbdabcadbdbadccaccdcccdccddc
+ddacdbdddddcccddadbaabbbadacadbcccdbcbbddccadbcba
+adcbddbdbddabd
+dbaccdcdabdbbabcbcdacbaadbacabcbabbbdadcbbbcddcddcadacabccadbacdbdddadacacbaaacc
+cddacbacddcbccccdadddcaaabcbcbccdbbddcaccadcaccccabcdaadbabddbabccbba
+accdabcabdcadadcbbdcccaccdcdcdabbcbcdadbaadddbabacddbdbcbcacbabdbadccadddccabacacbdbacababbcbacacdcdabd
+bbadcaabcbadcdbccbaacbddbaddaccbadcbabaccbcbdddddddccbcbdaaaaaacaaacdaba
+dbcbabcbbcacbccbbacbbaaddccaacbcdbccdadadcbaadddccbdccdaaaacdabdacddbadadcadacbbddbccadddaabcccddbac
+bbdbdbddcabaccabcbdbacadaabadccbdccdacdbadccadbbdbbadcbbbadcdacdbdabbadbabaabcdbbbcbacddcdcdaabbaacbdada
+cbcdbbabaccdbddddbadabbdadbbddddbbdcbacccbddbab
+cbacdbccdcdabacabdddc
+aabaacdaadbbccbcdbdbcbbbcddddcacbddcbbbdcdba
+cbabacdbbccaaacbacbbbdadbccbddbdaabddaddcddcbddbddcbaaadbbbdaabdcacdbdcacadcbccbab
+cbaddcadbddcdcbaaadddb
+baddadabdcacbddbabbbcdbcccaabbbacbcadabbbccbacadbcbc
+bcbbadbbacbaccadcacdbc
+ddbbccbacbbbabcaaaddbdd
+bcddcdbbaaadccbccaaabddcbadddddabcbdcabcccbcbbaabaabbdccdcdcbaddabbbbbbabbbccdadcbabacdbabdcddadaaadccd
+bccabdcaddaabdabacadcddccacddcdaacdbbbdbabaaacbdcadcdccdcdbcbcadcbadcbbabcaddbbbbabaccaddbaaa
+dcbdadddcddbaaacaaddaaccdcdcd
+bcabdccdbcdccbdccbbdabdabcabdbacbbabbbbdcdccdabb
+bdabdabcadddbadcbbbbddaaaabcdcbbddadaccbabcddbcddcaacdacdcadcdcddadbddca
+ddbcbdcacabbdbbbbcdabbbccbacdadcaaadcdcbbdaddaddabcdbddadcacccababcccbddbbddbdabac
+dbbdcaadcacdbccabddbaaabdcabbcbdddccabcdbadaaabaabbdabaadadaacdbcdcbbdccdbbbcbadaa
+aaacbcabcabccbaaabaacbadbacddadbbacdcdcdbddcadbbca
+dcbcbcbccbbccdbaaababbabacaacbdcacccbbcacabcccadbbacacacbbcccddbdaccacdccaaa
+aaccbbaaddbddcddbdbadbccbddbccdcacddccbaccdaadabcaadcbdcbddcadbadaaddadddcadccc
+aabdabdaaadabcbdcacabaadcddaccccbdaabaccaa
+ddbdadddbbdcbaccababaacccbaaaaccbdddbdabbbdcdcacbdbcdadacbdbcbbabcbdaaadaddbbbcda
+dbacdddcdccaaaccabcabbcbbcadcbcbaacdabcbcaadadcadbbadbacbbdbcddaaaaaccbdbdcabdbcaaabadbcad
+adbcacbcdbacbccdddbcadabccbcbcbccdcdddcccdabd
+acbabdbdbdbacbadcbbbaadcbbdbaccbccadbccaddcaddabbbcaddacc
+acdbdccabcbbbabbddcacbadcbbcdaabdcbacdcaabdbbccacabbdbaccabaaacbbcdbbab
+ccabbaadbabddccccccacbcbbacdabcdbcaddccdddcdcaccdbacabccd
+dadbabbccdbcdbccddbacbcacbdddacbabcadbdaccbbbcddaadadcddcddaccbbacabb
+cdcbcdcadddbadcccddabcbddcddacbbccbadadbbbbbcdadddbac
+cadcdbadbdbdbbccabddabddbdbbdbcbbcbbbdcabddbbddbdabadbdbdbbbcbaaaabcddcabbcdbbacca
+bddbdbbadcbaaabdbdbabadbdcdabcdcaaadbdcaacbdcdaabbacccdacbaaaacaadbcadddd
+cbcacbabbabcacbbacbababdcc
+bbcdbbaacbccdaaababcaaabbcbadddacbcdabcabbcaaab
+bcdacacddadcbaabcacccacbadcdadbaddcbcddcaacaccacadddddacddcdcacccbbacacabbbdcbddbbbabccabac
+adcdbbdadddbcdbccabdcdcadbcdbdbabdabcacaccdbcbbcaccadbbbaacaddbbacbcbbdbbaaaabdbcdbabddddadcbdaccadabadca
+addcabcaacbacccbccabcabdcbabc
+caacddccabaabcbaddbababdbddadbdbbccaabbcbdabbbdddcccbd
+ccccddacdbbabcddbaaaccbacbadbcccbccbacaabacccdcdcbd
+caadcacaccbdbacbabddcdccbcabadbcccacdda
+dabdbaccbdbadddccccdaaddcccaddddccdbcdabbabaadccbccdbdaadadaacbcccbadbbaabccbcbcbbbdccdacca
+ccdcbcadbbabbcbaaddcbdacaabaadbddadbcabcadbdbacbbcccdabcb
+bbbacaadcddaaaacbbcabbdcbcdddcaaabcbddabdaaabbccadbaccccbbdccaaccbadd
+aabbdbabddbddadbcdbcacbcaccbdbcccdcbdabdcadaacd
+cccdccccdacbabbaaddcaadccdacdacaddcaaaaaddaacacbcaaaccadcadbdbcadabcdadcaddbadabd
+bdcbccbcccabcbcddadaccccbdcbbdddcabacacaaadddadbcabbc
+abbddcabdacbdbacaddcbacbccddbdadcadbbdcacdbcadbbbcdacabdacabbdcaaccdaabdcdabadabcabbbccadbcbaaaddccbadacdc
+bacabccdbccabbbdcdcacbababbacdaddbcacbabcdccaaacabbbccccaaaabbdbbaabaaccbaacddcdccbdbcbbabdaacdcdbdbbbd
+aadadadbcdbbcbbadbcdabaabbbabbaadddababaacdbbaccbcababbdbacaaadbbddaddcdbddcbcbcdbdaaccdcdbcddccbcabccaa
+bdbdcbbdaacdbddcdadcaabdbbcadaddcaadcccaacbcddbbcdbbaaacbcababd
+adbccdcddbacacbdbbccdbcbdccccbcdcbdbdbcbddacbaaaaadaa
+cabddccccadddd
+dacadbbbabccacabcbdbddbdcdbdadbadaadaddbddadaadcbdbcaad
+dddcacccda
+cababacaaabbaaaddaaabdccbdccbcddcbdddbadddabc
+bcabacbcaacccaabababcbdabaaacbcabbabbddddcdbcccbbdddbccbdbdcbdadbccccacdbccaaaadababbbbdcadddcbbcddcccaabab
+adcddacaabbbaccdaaabcbcabacadcbdbdadbabccdbdbbabcdbdcdaaccacdcacabdccdddddacacacbbccc
+bacabcabcadbcdbaddbadbbadaddbaaadccdbabadcbcabcbbcddaabdbcabacddacbccdbabbddaadcacbcbdcccccadaddbacbdcaaddcca
+bbdbacdddbbdababababcddbadaabdcbdbcccdabaababadbdbabbababddbbabacbcbacbcabddc
+badccdbdbbbcaacbabcaaabbaaadababdbdacccdccaabcbabbabbdadcddaacacaabbcaadcdbccbbd
+bacdbadccabadbbdbabbbcdddbaaacccbdabbdcaddbdaaccabbabdbdc
+bccbbdbdcaadbbdadacaabbadabcdcacbaaacbbbbbbdbbdadabdbddbcaac
+adacdadccbbbccdacbdacacbcbbdccbdabdbdabdbcaadbdbdcdbbdaacdabadccbbcddabbcbabcadabbbbbacccdbbdc
+bdbdccbcdbadcbdabdabdbbddadbaaaabbadbbdbbcddaadadccdabcbabaaddbaccadbabbcbdacdcacddcddaccabd
+acdcabddcccccacbcbdabdbcaaaaaccabbbdacacaaddaadbdacbdcbacaaabcbcdacbcaa
+bacaacbddabaccbbcbcbcdadbbdbbbdcadcdbbccbdaddbdddaaaaddcdbabadadacaddca
+adaaabaccdcdcbbddabdcbcdcbdcdabdcaadacbacbaaacddbcbddbbbdabadcdbabadbdabdacbdcabcbabbabcbdcdcdcddbbcaaaccd
+dabbabbbcdcadbcbbdcaadcdadddadccccacddbbdbbdadbbdadbcdccacbacdcabbadcdcadbcbccdbdaadbccaccbcddbaaaadbaab
+dcbaacdbaacbbcdbccccbcdaadaddcbcdbaccbbbdbcbababbdabbcab
+bbcabbccdbacbbdbbcbcdabdbdadccddccdbdabcdcbcaa
+dabbddcbccabadacdaadccabcbaccbcdaaaabbbbacdacbccbbadadddbabcbddadabdaba
+cdacbbcdbbdacaabdddcccccbdabdcbdabbadbdacdbdbbdacabd
+badacbdddbadbcabdccbaaddaddacdaabdbbbabaabcaaccbaaaadddddbdcbbbcbcdbbabcbbdaaaddbddadcbbabaab
+cadddddcadcccdddcdccccadddbabbaaaaabdadabaabacbdddddbdbdcacbbcdbaacdadabcadacbaccdcbbababccabbbcdcacadbd
+bdbababcbccacaabbcbacaadaacbdbcdaababcddbcdab
+baabdbcdadbbdacacadcbacadddbbcbddbaadcbcbbacb
+bbcbbbddaaccdbadccdcddadaacdbbacdbcbcaaacabcadbbccbcdbbbdcbbcbcabdbadbadbdcabbbcbdcbcccd
+adddbdcdabaabbbddadcdbbbddddabaaadbcbbddadaabdbdccdbdcddccaaadadbccdbaabbbddbcacdbd
+ddabdbaadadbaab
+aabddbdcadcdbcbbaaabddddccbcaaabcbabaadc
+bccccacdbbbbbdaabbacdcdddbacbbadadddbbbcdcbaddcbbdb
+dbbcadbcaacadadacaaaab
+badcbccccccdcbbdcddccdcdacaabcacbdbbabcbcddccaaaddbbbbabacadadbaaadddcadbaccddccbbcaaddaada
+bdcacbcddccdaccabbaddddaaadadcadbbdbadbcbadcbdbcccccc
+babcccaadbddaddacadbaaaacdbaddabacbbddbbacbdacabcddaababaddcabbcbbacbbdd
+dddbabcbbbbadbcbbcddccbdadbddcaccbdbabaabcacbcdcccadacca
+bddbdbdcadcadccddbbb
+ddccdabbabacdbbcdccddcbbddddccaaadbdddcccdabbbdccbcdc
+cdacaacaadbabadcbdaccbbabbdabddacccbcabbacaacdcbdbdcdabbabbdbccdabccadccdbaa
+bbbdcdbcaabdacbaabcbcdaadddaabcbacbdbbbddbcddcbddbcdcaacdbabcddbdcabddcdbca
+aaacacbdcdacddbcadadadbadddbacaaadcbbacbdccbbccacadcacbadbcadaabbadbaacabcbdccbccddbbabcccbbbbdbddc
+bcacdbaccacbbdddcbbabbbbbddbbccacdaac
+daadcbdddbaaabcbcddcdccabcbcdacbadaababacdaacbcccbdcbadddabddcddacdddbacaaccacbad
+cadccacababcdbccaadaccdbccdc
+bdabaccbcccddbcdbaaabbaabdbdbcdbbbbddcdcdacadbcacddddccabbdacdaabbaddcadbbcddcbbaadabc
+bddbbdbdccaaacdcadbcdaddbdcbcbbadadadcddbdcccabdbadabdbacadcdbaabbacdbdccdbdacbbcc
+cacddbbcaadbdbab
+dabcbcbadbbccaaaaaddddabaccdbdbddcccbcadacdabc
+bcdcddbbbaabbcbabddbababbdadbaaddcbcbcdbdacac
+acadbcbdaddabdabdbddbaccdcbcddadbcca
+bcdbacabbbdcabacabbbccbbdaadbacdbdacbcaadcaddacbcbddbdbbddcdcdbcccddcdddd
+abaaccbadacbddacdbddabddabdcaabaaabdcbdabadabdddbbcbddbbbaadabcc
+297 161
+cdcdccdbbcbbbada
+dddaddddcccddcbdbacbdddabdababbaa
+ddddabcddbdcbcdbdcdacbbacbdcdacacacddacddbdaabccacdcdaaaabaccdadabd
+ddbdbbcabadaabddbbbcbdacaddbdbdbaaddaccbcdcadbcaccbabbbddd
+dccdccbdacabcadcbabdacabacdbbdbdabbad
+addcdabcddaaabbdadddadbdbcaaccbaabcccdaaaadbbccbbcdbbcbdbbccbaabdabacccacabcacabadbcadbbccacbcdaabc
+aaacdcdbaabddcdcbbdbcaddbddbdcbbccabdbabdbddbdabdacacaaabaaaaaddbcacadadacbccad
+daaddcacdadcacaabaabbbbccbddddbaadddbddcaabbabcadadbadcbaa
+acabbcbadcbdaabdabcaddbaaacccbdbaccbddadadcdcdddccaabcddaacdbccccdaaddcbaabcadbaaccbabb
+ccabbddacddacadccdaadbabcdbbadaabaacaaaaacabbbbcddcadbcdcdbddcaaaadbadaacbddaadaaabccbacbdaadbbbdcbaccdbbaadc
+ccdabcccccabbcccbddcbadcbcaddccdbacbddadddccacccabdabaaabcdbcddcbaddbcdaabdbacdbcdadcbdacdcaad
+dbbabbdcacccbcbdabcdaadacdbbbbccbadbcbdbcabdaabbcaca
+abcacbdbadddbabcdbaddaacbdbcaadacdccacbbddbda
+bdcccaabaadbcadadbbbbcaacbbdbacbcdabaaadbb
+cbdcbdcccccbccdcbddacbbdadabdcadcbcbbbdc
+dcacaddbcdcbbdbdadbdbbccacbadbcabcbdcdbbbcdcbcdaacdbdbccdd
+dabdcacccbcccaddacac
+adbbcbdcbbbbadcddaddcdccdacdcdadabdcccbdacbadacdbbcbcdccdcdcdabbcaaadddcbaddbbbdcdbdcacbcdbdb
+dbbbbcbdadbdcbbabddbbdaaaa
+daabaabdcadb
+abaccabbdbdcbccccaddadadaabaacadacbcbcacbaabcbbdcdbdbbbdaadcccadbadbddd
+adaddabacbbacaabdbcbaddcccaccdcaaabcabcaab
+dcdabddaabadddddbccaccaaccbdbbaad
+acdbaccbbaadcbdbdaabdccbabdacadcdcbbdbcddbadadabdacbcbddcbccaabddabdddc
+abaccabdaddbbaaaddbbbacadcdcddcdcdadddacdaaddcabadbdbcdcacbadacaddbaaacccbbcdcacdaabcdabaadbdbacdddbbdd
+bcaddadbaccddaaccbcabbb
+dbccdcdaabdbcdbaabbdbbddbdcdad
+bbcccddcdabdacdacdbaaccbcdbbccbbdadbdccaaadcaabcaadbaccdcaccacbcdcaaa
+adbacacbddbbdbdbddccccccbccdadbdbadcccabbacdadbaacbddaaaacdcbcbccaddbbdad
+dcbdabcdbcdabddaabbddaaaadbaacbbba
+acababacbcbbdbcccdadbdacadcdaaddbccccaccbdbbcbadca
+ccdacddcdcbcabdabbcddbcccdddcbbbdaadaccccdda
+cbaaddbaadcddcbcbdcaccdccaaacbadcdabacdcdabacaadccdccbcbbbccadaaadcdabcbbbdbbdbabccadccbadbcabcabccbddca
+ddadbbabddbb
+acdaaabccddcdbdcdadcdbaacdcabadabccddaccaadcdcbaccdccbcbacddadadcbbbdadccbc
+cabddcdaadbddbbcbabdadbddacbaacbbbdaddbdbbcaccaadcddbbcbcbbcbacacddbcc
+acaddbbbdcbddbaadaabaaaabbcdcdaabacbcbcadabcacbddcaacabdbaadacdbddaaacbabbabbacaadbdadbbdbcbbcccdbbd
+adcadbbdbcbadacacccaabadaaaccbbbddddaad
+cbdcacadaccacdbdcccbbacccdbdacbadbdddcacccadcddcbcdcdbadcbaadbcdaabb
+baccaabbcacadbddbaacacd
+bcabadbadacbbdaadcbdcadcabdbaabdaddcccabbabdbbbbcbbdcbdccbdbcddcbcddbbbbcdd
+addcbdcabccdccbbadcbbacbbbdbabbddadadcddccbddbaddddddaaddccdbd
+dacacdccdbdbdaabdbbdaccbaddaacacaacdbbcbdddcdaadcbbbcadbbbbccacbbabdacaccbbbabcbbcadbdd
+acddcccbbbdcdbbadbdcadabccdbdaaadbddbdddddcaacbddccbabccbdbccabaabaccdabbadaddd
+cdacddcbdacbadbadbbbaadadcccdcaadaadd
+babaddcbcccbbbcdbabdaaaddbdaadacdccbdabbbbbdddbddbbaacbbbc
+adaacdacaaadccaabdbacdddbdbddabaaaacbbbddbdccbddcbadcabcaddadcaabdabcbdcddaabccabcbcacbcadcaddaacdbcbd
+ccbbdadcdbcdbababbddaccacbcbaadbbbcdbc
+dabbabacdccbadadddaddacdabddbacaabaca
+ccbccdcaccbbcabacbadcacbbcabcabacbbabdbccbbcdcbbcbcc
+bbbbbbbcdbddbacbacddacbccbccacbdcdabaadd
+cadddaadbdbdd
+bdbbbddbbccadabdddacdababdadbaaabadbcccacadabccabdbababbaaadcbacbbbdadbacdbcdcdbbabcdcacdb
+dcccaaaacdbcbbcbbcdcaabdaccadcaadbcbabcccdbcbbaabbacbadbccaabbdbbdddbdacbcdcbcddbdabbbacbdbabcabcbc
+acaddbabbabdaadcddbdacaddbcdabbbabcdbcccabbcdadccdbcaccdcdaabb
+dccbbccaaaddcdbcbcaaabcacaddaddadadbabacacdadcbdaabcbcacaddd
+aabbcaabddcaaacdbdcdabababbcdacca
+dadbdcabdadaacbacabaaadcbbdcbdcbabaccdbdcacccacdbaadccad
+cdbdbdcdddddcabcd
+abdcadabbaddcbccbbbdbcdadabaddddabaaddbcccdacbacabccacdbbbcbdaaddcbadabbcaadcabbdccabcacbccd
+bdcbccabdbacbbcbacaabaabadcacaabdddbbcabdabacbbaddbdbdadaddaacabdbdccdbcd
+dcbdbdbadbcdaaaabcdbbcbdacdbdcbdddacdbcddddbcbdacbaadcabccab
+cdaabbdadddbdcbbabbbcbabbbadbdcca
+baacabadcabbacbbbacbacbdbbcacaacbddacccbbacbb
+ccdcdccaacdbcdbdaaaabcbcbcacbdcdaccbdaabcabaa
+badcacaabcacbbccddaacccadccbcacbaccdabcaabccdcbddacddbbccacabbdddd
+daacbababadccccbbbcbddbdddbabddcbaccaaa
+ccabcabdaabcbdbbcddacadabbdbbadaddababbabbddbbcbdbddadcadadcdccacdcaacdbad
+bccadcdababdadccbbdcdb
+bcdddbdadcbbbcdcdcddccdbcacdbcdccbbccdddbabbaabbbccbbbdcaabbdcdcbbbb
+bbcddadaccdaddbbdadabadacbdbbaababdcdc
+dacadbddaddadaaaaadabadbdcbbbdcaabaabbdbadbccadadddac
+ddbbacaaccbbdcbacadcaddcddadbcdacadaacaccccbdcccbdbdcdbbdcabacbdbdabbbdccadccba
+bcaabddbcddadbcdbaaabdaaabccbcbccccccbcbdbbbdaadbbbbbdbbcbbdcbccacdcdcdddcccdbadccaab
+dbdabaabcbbbdabddbbdcacdbbbabbdcccccdcacdacdabddabbbdbacddbbbbdbcbdabaacbcdacacdccbdbcdcdcdbbbdbcbcdbababc
+adbbabdcacccdaccbbddccc
+aabacdabadadaccadbcadbbaaddddbacdcbdbaaacabdaadbdaaabaabbdaaadcbbdddadaddacbdcacdadbaabadbaddacbbdbbcb
+adccdcdcddcdcbdccdcbdaccbdcbdcaaaaaccdacaabdcbdaddbadacacacdbadabcbddddccccacdb
+bacabbbcdbbcbadcddcbbdabbcbbdcbcaabddccddaabdcadcadbbbcddb
+bcdbaabdcadbabbdbdcadabadcabacbacadbdcdaccadbccdcaabaadaadbddddabaacddcbdcbdcdcddbadcdacabdadccdaabbcdcdd
+cdaddcbcbbacccadbcbdbaaadabacbaaabaaadddaadcacabdcabdbbccacadcaabacaadacdbdcddacabadbbaaccbcbcaaddaca
+cbbcaaaaabaaaccdacbacaaddbbbadcbada
+caaabdaccbdccdc
+ddaadabaabadbdcbcbbadcaabcdbdadcadcbbddbdabdbdcbacbabcaadbacaaadbdadabdbbaacabbabcdabdcdbdb
+cdababcdcdbc
+dbaabbdaddddaadccacbddbcdcbcbdaccacdaaccbbadbacaacbabccadcaadaddcbadddbcddcbacddcc
+bacbabccbbcabbabaadbbadcabccadadcbddbdcbbbcbdaaddcdacbcdbbbdcddacbbbbcdbbcdbccaabbcbcacbcd
+dccbbbabdaacdbadcababbbdadccdcdabbdcbbabbbbaabdaadabcdddcaaaacacdbacddcbbbabacacadc
+ccadccdadaaaaaccabbbbdacdcaccadcbcaacaacbbcdcabaaddcdccbbcdaaabaddcdbcabddcaccdbacdcddc
+cababbcbaaaddacd
+ddcbbabbcdadadacdabadcbadbaddabacccbdcbcdcbdbdbdcbadacabbbababbdddadbcdddbadcccdadaadbbcdbdcdbaadbccaabadcadd
+bbaccabdbdcdaacbabddcacdadd
+ccbbbaadddcacdbbaccdcbaacbdadbcacadbcada
+cdbdabbdcd
+aadbbbdbacbabdbdbaddadcadbbacbcccddaabcadadabdaacaaacbaaaadbbaca
+cabdbaaabdcdcdddcdcadaacbdbccbbcddcdbdccbbabcccbbadddabcbabbacbbcdbbabcccdaabddcd
+cdddcdadbdbabacabcdadcbdabdbaadbcabdccadbdcdcbabdddbdcabcdbddcaa
+adbbdbdadddbcdacdbdcacaabcabddbaabdbaddccdbbaaaaddacacbbaadddddcaa
+bdcbbbcbcdbccdbcdbdadbcdbabcabaaccd
+ccdccaaaddcabccdaaaabdadbabacbcdcccaddbccccdcbbbaaabacabddcdabbdcdccb
+bcaacccacdbccaacbadacbbcddbbaddbaddcadbbdbda
+bccdbbcacdbbacdccb
+acabbdccbcacbbaadaabbabbdbdcbbbadbdddcaaaacabdacaaddaabdc
+dcaddcaabdbadcdcabcabbdbdacbabaddabdbdcbbacaccd
+ddccccdabcbdccbbbdddcdcbaaccadcbaacacccdbabdcbdcdcbacdcabadcacdcdddbabaccdccdcbddccacbbabbdbbab
+aacdbbddcdbbccbcabbadbadddcadcaccacadddacdaaaacbccabcddcdda
+cbcdbabbbdbababbccdbbadaacdccaadbacbabcacddacaacdadaaabcdbaacaacccbbaadbdcbadacddbdbbccaaaaaddbcbbdaddaadab
+cacccccccbabdacbbbacbdcacccdbdb
+cabababcacbbacdbddddbdbbabcaaaccdacbaabdbbdadaacdccccbcbcddacccaacc
+cbdcdbcbbcbacdcddbbbbcbcaacdbcacbacadadbdabbbbdabccdbccadbacddddabbbdadadccabddcdddadadddadacacdbdabc
+ccbdcacdbdbddacccaadacaddcbabcdaddbdacdbaddd
+dddbcaadacbbbbbadbdcdadcdcddacbacddaaabbabccbaaabbc
+dacbbdcacaadabddabdbdb
+acdbbabababcdcbcadddacaddbdbddccbacdbbaccbbccdabbadaddadbbdcccabacdcacaddba
+baddcdadccbcbddbabccacdaadaababccadbbaadabbbbdcbbacbccdbbbbcdadbdcabaacaccaabdcadcadcbcccabbdd
+bdbbbccbdaabcbbbcdcaadbbbccccaaacabcdbbbaabdaaaaaccddcadabdcbcbdbdab
+acacdcdaadbdacadbccacdccbcdccddaaacacccbcdddbaabddba
+badccccbadccbddcacdbddaacddcabaaacddddaacbcbdcdacacabcccdadacddabbbbdacdcbbbdcabdaabbacddbaa
+cccdbcacbc
+badcbaadcccadda
+cdacaacdcdddbdccdbacad
+caacadbdadbdccacacbbadbbcbdadddacdccaadcdbbbbaccddcddcbdadaaaabadcc
+aadccbaccbcbadcbdaacbcaddbdbacbcbbcacc
+adabacbddacdcaddaddcdadcabadddadaabbbdaaaddbcadbbacdcbbcabddaabbaaacbbcbbaaaabadbd
+bdacaacacccadcddcaadcabadcbacad
+bdacdbdadaccccdaaabcaccaabadccdacccdcbdabdacabbabcddbdccbdabacdabdddcbabccabbb
+cdaddacbdbcbcadbaccaabbbcbbccbbcbbcbdbabdbcabbbabdcadbcddcbcadaacdcbdbcadccdaa
+dbabdadbabacdcbacbbabcccdaaabcbaddadddbdbbaabdabcdcbbdbacdaccbbcdaacbddbbaabdabbbbcbddcababcdaba
+adaadcbcbbbdcbdaddabcadbdaabaabbbabcbcaaabccdbbbdbbbdccabaabccbdababcbddabcaabbaddc
+aaccbbcdadcdacabcaabcdbacbdcadcadaabaaddddadaabcddcadbacbcabbcbbaaabdbcdcaaabbcbbdbbacadacbdbadacc
+daacbdaadadacacbabdcbccdccdacdddb
+bdcacbdbdddabacabadbdbcbabacaddaddbaccaaaddddbbbbbdbbdacccacabcdbccaacbaddcbdaccaacddcccadbcc
+abdcbabdcbaaabaccdadbacca
+abbadcabaadbdccccdadbaabacdabbcadbdccdddbadcbdbbdcbbcbdcccaccdbc
+baddadabbccbcdbcbdacbcaabcacccdddcabdabaaaaccbadacacbdcaccaacbcdbdbcdbbbcdadcbdbddaaddbdbc
+cdddabaccdcacbadadbbaaaacbabdacaccccaacbadddbbaacacbcccbbcdcbdcabbbddccdbdbcbbbccdabbbc
+bcabbbdcdaaddbacbdcdbadccdcdbcadcddcccdbdacdbaaaaaadccbbdbddddbccddbcdccdaadbdaccbcbbcddbcdcbaddbadaacaaba
+dbbacadaabbadcbbadcaadbc
+ddaddcdbcdbdcddcdcdbdcacddcadcbabcdbbaddccadbdbaaabdbbcadcdcaddbcdcaacddacabdbdcaabac
+cdbdacdcdddaaaabcddbdcdcaacabaabdaddcacdcccccaaaccaadadadcaaddadcdaddaccacabdcbaddbccdddcaaddcbc
+dbdaadbadccdddddcc
+bacdaaccdabbbaaac
+ddbddadcccabcdcccacbabdabbbacdaddbccbadddcdbbabbcdcbcdbcaaccbccdddddbdccadcacbbdaddcdad
+bbcbbcbbdabbabddcabbcddaddabacabdbcaccddcbbacbcdbcaaacadbbbddddcabcaa
+cdacaccdbacdbadacdabbdbcabdcdbdbbaababacacdddd
+dbccbbbdccabbdaabddbcaaabdadaaabbcdbbabdabbccbbcdbdcdabdabdacddadaadcdbdadacabb
+ddababdbdadcdabcccbcbacccacaaabbbacaabdbccdaac
+dbabcaccddbdcccbbabcbabacbcccbdddadccaacdcdbdcbddabdaddbb
+abcbddabcccccdabadadacaaaaadddabadcbbdbbdacacbddbbadbacdbcbcaabdcacbbdcabcdaddcccadcccabababcadbcbcdcadaa
+ccbcaddcdbcabbbbababdadcaddbd
+dacdabbbbbcccdcbbadcdbabbdddacd
+bbdbcbbddabddbdadddbdbccabcbbd
+aadddbbbbcddbbdaadacdadadabbacbaacbadbccddbcbdcacbcdcdcbdbdcdcdbadccdddaadcdabcda
+acbaddcdcccdbdbaacbddcdddacaadabddcdbddcabcdddbdbacabdbddadabcaaadcbabbcabbbd
+baabacdcbcbdccaaaabddccbccbadbaaabcbbaabbab
+addcabdbcccad
+cabbcadcddcddd
+bcbbbdcbdcddcddccaddbbccabadabdbababddadaaaadaacaaccccabdabdabacaadcbbdadadacdbbdccddbcbadddaabbcd
+cdabbaacdddcbdadbdacddbbbcdabdcadddcddcdcaccaddbcbbdbdbbdbaaabdacbdbaccdbabbdacdbddbcddb
+acacacdcaacbcaacadcadccbacbcdbbccbddbadcd
+dddccabaccddabaabccababdacdcaddacaabcbcccdcdbaddccbadaa
+aabcadbabcdabbdbcbcbccdbddcaddbbdbcdddbbbddccbccaaadaddabcaaabbdcdadbaaab
+bcbadbdddccbaadccabbdbbabbbbaaabcbbdadbbdbbcbdacbdbbdabdbcdaba
+dbdcdbbcbdddaaacdbcbcdcacaacdccbadabbccdddabcccaacbddcdaddadbbbbacccdc
+abadbbcabccabddacadbbccbbdbdcaccbbaacbdbdcccacadaabcddbabacdbdbdabaabddcbbcdabaad
+daabbdbdcaabccaddcabddddcacdbcaadbcdcacabacbaadcbbcbbdbbcddbabacdccccdacbabdabacda
+bcddcabbddcbbdbbdddcdcbcbccddbdcdbbbbadadccdcbcadbdddcdddcccabbbccaddcacdbddbccdcadcbacaca
+dbbadddaaaadacccacdacabbbddbcddabcdbddccaabacddadabaabbccacdbcbdada
+dbcdddcabaaabbcaacabcbbccdbbbcbdddbacabcadccabcabaacababdaaaacdddbcbcddacabcdcddccda
+bccabcdcdabcddbdbcbbbbcdddbbbdcaaddccbcaadadabcbacdbaabbacdbcabbabdccacbbacccacbadcddc
+dbaccdbadaca
+ccbbcdbccdbabaacddaaaddccadcbb
+cdbdbbcdbbadbbccbbabbdbdcbdcabddbdbadcaadbddcccddaccbcbacdaddbdbba
+acaaadbbacdadaaadcadcdbdaaadbadcbbcdcbcddddcadabbcdcccbcccbaccbaacccddc
+bbdcddccdbaabbddaddcabcbcdbbcbccad
+cdcbacdcccacdbdbbcbcb
+dbdadcdbbcccbcdadbcabccaaaddbddcdba
+ccbdddadadcdbcdaddcbdcacbddbbabaabcaaadcdbddaadccabcdccbaaaabdbbdcccdcadaadbddcdcbcdaacaacbbcbdcadddbccd
+addcbdcddddbccddadbaabddacdaadcccbddccdbcabcbacddbcccbcddcdabbcaddabbad
+dbbadbbadadcaa
+dccbcabdadbacbabddabcbdbaadcbbbdbacdddcabcbabaacdcd
+acdabdcadcaabbacaab
+bdaddaaaacdbadcbcbcbdaabbbbdbbabcbcdaddcbccbacccacadaaab
+cbbbbcdbdccbcdadbadcbabbdbbaddbbddadaaccbcbcdccbaccadbaccbcdbddcbaadbbabddcbbddcbbdbcaccaabdda
+aaddaccdcbdddaba
+abdbcbddbccccccbadabbbadc
+cabcaadcdcbdddbacacbccccbcbaaacbabdcaccdaccababdbcd
+accccaacaacaadabbdbdabccbccbddccdbbaacdddaaddaabbbabaabcddadbcdbcdcaabdcbcddddddcabcbbc
+addddbaaaddabcbbbdccdcbaddbaaadbaddccbdacccddaabcdbbbcaacbdabbabadcbda
+dccbcbcbcdacdccbadbabda
+ccadccbacdadcdbcacddcdaccdbbabcbaccacbcdabadddcdddb
+ddbddbbadccbdbdacbcacccbaadc
+bdcaaadcabaccdababbbdacddadbadcadba
+dacbcccbaccdbbbdcbaddadabacbbddaadddbcbcbddaabadcccbadbc
+bddcbdabbabdacbcbbacbddaaabccdacbaacabbaabdccdccdadccdbabbccadbbdbaabbccabbbcacbbcdccacdbdc
+bbbdaadcdaabdbaacaaddbaddbacaddaabdcdacbcaabdaadccccbadd
+abadbbcadaadbdabacbcdbabddcacdbccbbadbcba
+acbcdbdccbdddabaababaabdacbbbbcbcabcacacadddbabaaddcaacdccbdaabadacacdbacabbddaadbcadb
+adbdbdbabdcabbccaadbddbdabaccdccbcaacbacccbccdcdacabcaadacddbbcaccbcaaaabdcabcdabcaaccbcaac
+ababcaadbdadcdcbbbaadbbcdbabccdcbdbbddacccbbdaadbdadcdbdbcbdbcdccdbddaaac
+bccbacbabcca
+bcbcbdcabbdcddccabccabbadbcadbdabcbccbccacddaababbcaddddcbbdaddabbbddbcddacadcbdbbcaaacabaadc
+adabcaaabcacbbccdddcbbdacdbcabbadbdbaccbcdcdbadadbdb
+acdaccddaadcdaccbbcbdbcbdcbcabbbcbcbaacccaaaadbbabb
+bacdabdbcccabbbcc
+aabbccbbcccddaaddbcdbccbabc
+cacbabddacccdccacdacacdbddcbddddccdbdaadacaaabddbcabbdbaabcaccdccccbdaddabadbbdbadbaacbdacbdadcddbddadcbaddcc
+adacccbddbacddcbbbabacacdaddabccabbabadacbaddbcdcabdabddddabadcaccdbcbbcccdbbadddcdddaadbbccc
+addbcacaaadcaa
+dddacacabccbbadbdbdbdcadbcabbabbcbdadccdbbb
+cbdbccbccbdcbccbacccbdbabcbabadbadcdbbbabdcacbccabadacabcddacbdacdbbbaddcccccbaacadabdcdaaacbbcccbabcd
+adaabadadaccdcccbcabcacbcadcdbcadbacbbdacbbbbbcddabdcdddcbacbdbaadaadbacbcaaadcbcadaaacbcbaccdaaadacabdaac
+dddddccccccdabcadadacbabccccccabadbddddcadabbbacacddccaccdbaacdcdbccaabcbaaabcdcd
+dbbdcdbddcdaacbdbacb
+ddaaccabbaababbcaccacbaadbdbcdbbbbabdbccdcdaccacaaacacdddacbddbdcbb
+bdcbbcdcacccacdbbaadcadaccdbcbacaadcabbcacccdccbcdaccdabbabaacdacdbbdaabdccdaaaccbaac
+ddcbdcdabcddaabdcdcacccb
+abbadaadcaabdcdbbcbbddcacd
+bddbcddddabdbbaacacddaabaaddcadaacbcbcabddbbcadbabdabcdcbbd
+aadcdbbcdccbcbbcdbddbdbbabccaacddaabacbadabcaccbcaaabcbadcaadccbcabcbbbcab
+dbcadaacdacbbabdcbcadcadcacdadbadcbcbcdcbcbaccadcaccaacbaacdbdcabccdddaaaddcacadbaadabdca
+baccacccadadcabaddbccadbbbdcdabcadbcd
+baabaccbcddacabdbacbabddadbdadabd
+dbbacbcbabacdcbddcbccbadcbbddddaaacdcdbcdddacdadddacadaddadaaacdacabbcddbbddddb
+aacddbbdbddaddcdcab
+cccaddbccdabacdbcbbcdcbbadbcbcbddadacabbacddccbcdcbdadbaccddddaddcacbbbbcbcccabccaccdddbaababccbabdaacdabd
+cabadadadaddcccdabacccdabaacaaabcdaabdaccaaadddadcc
+acdcdbaaadcdabaaacabcadacbadbdddbdbddbbdcbdabcdabaccbdaddaaabadcccdcaaccbccacca
+bcbbdbdddbdbcdcacdcbdaccbdbdaadadbabbcaabddddcbddabbcbacdbbabaa
+cdaaaccacbcdbbcbdcacdcbbdacdccacdadccccadbcbbbcacdcbcdccbcdcdccdcbabdbdcaaacaaccbcaccad
+cbcdbdbabdccbcdddadbcdbbacadbadcacbcdccdbbdabdccddcbbbbcdbbdaaacacadbbccdddcbbadbadddacccddbbbad
+dbbddabadaccdacbbcbaacdbaacabcbabbbc
+ccdbccccaddcdddbadacddbbbabbcaaabcbdddbccd
+bcbdaddadabab
+bcabdcadbcba
+ccdaaadddcbabbddbdaaacdacccdbbdcadccdddbacbacccccadcaddcadccbcabb
+dbbacddabcabbaabbbbdababcbcabcbadbcdccdaccbdbcadaacadacaccdcaadcacdaaddabdddbcd
+cabdacbcacbdacbccadbbdaabdbdcaddcdddabdbbdcdcabcbbbdbdc
+dcbccdcbccddcdbbbddccdaacaacbcdadbaaaacaaaabacbaaddaaaccddaddbbcaacdccccbbccabdcaacb
+bcabdccaadcdadacdbdadcadaacddbabc
+daacadddcdabcdacddccbbbbbddbbaabdbccddddbdcbaaacacbbcbddbadbbbcbaadddbaddbbcddccccaacab
+bcdadbaacdabbaadbdbbabbaccbbaadbcddcdddccbcccbcbbcacdccddcacbcbbaabdad
+abaaaabcddbdadabcaacdbbcabcdaccaadcabaadbacbabdaadbbdbcbddbcadcaabacbadbcaaccddadbbadb
+ddaadbaacacbabbacbbadcbaabadcbbdbaddbbbddaccdcbccdddccaacbadcdccabacbadcbddbcbcaccccc
+acdddbcbaacdcdbcabababbdcddbcdbccdbaabccbadbaaccabbbdaadbbddbacddbccaddcadbadcadbacbaacbddacbc
+aabaacdcbbcaacdbaaacadacbcbadaabbbcacddaabbacabdccaddababbbabdbdddcabcdbadcbadcbbdaddccbbc
+bddcbcbdbdddadbcabbbaaacbadbdddcdbcaccbacbaabccddddbbdbabdacbdbbcdcadb
+cacbcabdcaccdbccdccadccbababaaaccccdcabacdbbdbaccdbbacdbcdbbbbbacabcdc
+ccbdbcdaaccadacddccccbbcbdcabbaacaacdbdbcddbcbadaab
+bddbddadacddddccdcbdadacbbcccbcddbaacddaabdcdddaaacdcbdbddcbcbabacbbabbcccbbddbadadac
+cacddcbcccccdacdcb
+bdbbadaaccaccbaaccdacbcdccdaabccccdadabdbaabcbababbbdbdaaacadbaaadbabdccbacdbd
+cbbdcacdabccdbaabcdabab
+bdbdcacddbaadcbbdccdbccaaabaacad
+cbbcababccddcbbbcd
+acaadabbadd
+caabcdbaadb
+bdabccaddabbbbdcbadaaddbacaddddacbccbdabcd
+daacddadddabaddcadcbddacdacdcbbcdbdcbbdbdbdddabdbbdddbabcbcddbcbbaddabdccdacdbaad
+acdbbccbac
+adcabccaaaccdabbabbcacdbbbbbadab
+dcbabdcdbdbccacdbbdcbdddaac
+bbaacdccaddddbccbaabbdcadbcbacaadcaccdbcdaddcabbdcccdba
+cabaaadbbaccadbbabacdcdacbdaadbbdbbbcbcb
+ccacbdbcacbcdacdbdabcdbdacdabcdadaacbdb
+dababcccacddcadcbabbdbbcdbacdaaaadcd
+acddabccbdaccbccdcbddcbbbbbaacbb
+cdddaacccbdaacababdbcdbcbabbbbdbbcaaccbdbcaccbdcadccccacaaaaaa
+abcdccaabcddbacbbcdadcbbdbcdaacdbdbdaadbaccd
+accbcacabdbdaacabbbadadacacaddadcbccdababbdcbcadcaa
+caaadcabbcdaaaacbbdcbcbadcadaddccbddcaadbaccbadbcdda
+dcdaacbcbbcbbbcadabbbdadadcabbbcdcddccbdabdbbdaaaaadbaa
+cbaddaabadabdbbdadcdbdcdadcabbabbbdaaddbbddacaadbbccdaccd
+ccbbaabdbbbadadadddaaadddddcacbadacdcadcbcbdbcaaadbdadbbadacdadcaaaaadbcdacbccbaacddcadcddabdbccabdd
+cbddababdcaacaacadaddbccdccbbaabaaacdbbbddddcaacdbcbccddbaddcadaddc
+dabadbaaccbadc
+abbcaccdcdcdccdcbaccbbaacbcdadcbdaacccbbbdccacabddbabbbccbbbcbbbbbddcdaabdbbbbadcccbabbbddacba
+bdaadaabbddabbdcbcdaddabcdcddabdcabdbababdbbddbaccbbadbacadabcdabdcbdcadccbdabb
+ddccbdaccdcdbcacbdac
+dbdbabcccadbccbdcaabacadbacddbbbacabd
+adaaaadbabccbdabcddbcbcbdbcbcaddcbadbcccadacacbdabaacdaadbdabda
+dacbdcadddbcbbadccdcaccadbacadaccdbbcdadadbddbccda
+cccabbabbaabcbaadabccbcbcaacdaadabbbcb
+ddcccdddbabadcbaaad
+dcdbdbdaaabcbbadcdbabbaccdbbbbbbadbccadbbbbadaa
+bcddddbdbbabcadbcccbabbcdadcdadbbbccaabcdcabdccabdcab
+dcadbdcadacdcdcdabdbaddaaddbdadbbadbacddacccdbcbdbbddcbadadcbccabdddbcabcadddba
+cbddbddaddcaaadbddbaadcdbccccadddcb
+ddbcbacddbaddbdcbcdaabdaadbbadcbcdbddcbabacbccbccaabbadbbabaaccadcccdbaccccaddacbbddbcdbcbdcac
+ddcbdbbadadaadbacbabddccdadaddaccdcccacacccaccccbbdcaaacbdbdaaaccbabcddbc
+bdcadadbddbaddbabdbbccbccccbbdaacbbddbabdccacdbd
+ccdabcbddacccddaaacccccabcccbcdcdda
+bcaabcabdabdaaddabcacdaccbbdbcbaaaabddccdbcbaddcabacbcc
+bbcacaababccddcdabadabbdabdbbddbdaadaabbcdccbdbadaabcccccadbbdddaaadaaccbcdccccadcdaacccacddddd
+cdbcbbcdcccddbabbbddbbdcbbaaaaadab
+aabbcbbddddababbdabdbdbaadccdbcadccbbbacaadbdcbaccbdddadccdddbddccbcdababcbdbcdcaaabdccdabddcdacbddbbbabaac
+cbabdaadaccbacbcbb
+190 17
+bbababbcbacbbbbbcbaccbc
+aabacaabcbcbc
+aacbcabaacbbbaaacabbbbaacaccaccacccbcccbbccabcbacbccaababcacbcbaacacaab
+bcccacbcbcabccabbcbbbacbaa
+cbacaccabccbccbb
+cacabbcabbccb
+caaaaccabacccc
+abcabbcbbbccab
+bcaabbbccbcacaacbbbcbaabcaccbbbabbccacaabccbaabcccbabccaacb
+cbcaacabbccbcbcbaccaccbbbaabcabababbcaacabaccbccabac
+ccbcacbbabcbabababbbcbcabaaaccccaa
+babaabbccabcbcacacacccbbcabbacccbbbaccaaaaacbbaabcacbcabba
+abacabcbcaabaaaabccbaabbbcaaaccababc
+bacaaacccacbccabbcacbbbcbabacaaabacccabacbac
+cbaacabbbcaaccaacabcaacacbcaccccabcccbcababcccbcbbbbbcbcabbccaabbbbab
+bacccacabbabcccaabbabbbcacabaababbcab
+bacacbbabacabbbacaacbcacbcbcbcabcbabbcaa
+bcabccbacbcbbabccccabcaacccbbcaaaccbcacaccbbabcaba
+bcccbcbcbbccbbabcbbcbccacabccaabccbbacbacacaaccbcaacbcaacbabcbccabbcbbacacbccbaaccacacbbca
+aaabbacabbcacbaccaacaabccbccbbbabcbbaacbacaaabcaccbaabbbaacbabbaaaccccbaaacaac
+ccabbabcabcbcbbcbbcccbbaacbbaabcabbacabbacbcbaaabbbacacaabcabccacbaaacaaabaacabacbcb
+abcbaabacabbbaacabcaccbbccccc
+caaabacbbabaabaaccbbcaabc
+cbcccbbbcbabcccabaabbabcabbbcaba
+abbbabcccbbbbccaacaabcaccabccacbbcbcacbbcabaaabcbbabbabbbcccacbca
+acabbbbccbbabcbbbcbccaacccacaccababcbaaaaabacbaccacabccbbccacabccaabaabbaccbaab
+bbacacbcbbaaacacbaabbcbcccabccccbaacacaacaacbabbabc
+aaaccabcabaaacbcaaabbacacbaaacacbbcaabcaacbabbbcbbacccabcabbcaa
+ccbccaaaccccacaaababaaccccbcbbcbbaaccbccbcababbcaaacbaaacacaabbcaccbacbacabcbbabcaababbccbabccb
+bcaccbccbacabcbcccbcccccbccabcbbabbbbabbccccbacacbcccbcacbbaacccaabbcaaabcbacccccbbbbcba
+aaacccacbaaabcbacaacacacbcabaaabaaabaacaaccabcbcaabaacabacacabca
+bbabaaababbababcbccbcacbbccbaccbbaaabacccabbabbcbccbbabcccbcbbacbcbbbacbcaaabbcababcc
+caccbaaaccbaacbaaaccacbaaacbcbaccaaacaccbabbbccaaaabcbaccacacacbcccbcbaabcaa
+ccbaaaccbabcabcbabaccbbbbacbcbbcccbcaabbbbb
+bbbcccacccbccaabccaaabbaccbaacbacccccbbacbcbbabccbcbaabbbcabbccbacbabbbbccbbbbaacbc
+cabcaacbbbbccabcbbbbcabacbbbbbacacbccccbccacacaaacbaccccbcabccccacabccaabaabbb
+bcaababbccacbaabbacacbabbbccaacababcabcabaaccccccabcccaacccbbcaabbabbcabbabaacbacba
+abacbbacbbaabcaabbccabacccccbccbcbacbbabcabccc
+bcbbccbbccccccccbbacabbabbccacbbba
+bbaacccacccbbbacaaabababbccbacbacbbbabccbacbbcacbaccacabbccababacaacb
+bbbbbbabacbacacbbaaacacbbcbbaaabbcbc
+bacbbccbcbccbcbcababbccaccaaaccbcacccbcabcabbccbbcbcacbcbccacbbaccabacaccacacccbbbcbcabbccbbbcb
+cbacaacbabcabaacbaaabacccbbbaacbabcbcbaacabcbbbcabccbaaacabaabcaccbbbccc
+bcccbaaccaaaaaccbbcbabaaaaaaaccabaacccccbabbaaccbbccbacbacababcaaaacbccacbcabbbababaca
+ccababacccacbbcbbccaacccbcbbbabbbbbbccabbccaabcacbaccbaabcbcaaccbcbacabbcacbbcbbbaccbbaaaacbabca
+bacbcaccbbbbbaaaabcbccbaabbcbbcbbaccccccaabccaabaabcabca
+cacbbacabbbbbcababbbbaaacccababcbbcbcac
+bcabacaccacaacbabcabccbbbbbccbbbaccbbaaaabbcaacabccaabcabbccccbcacaacacaabbbca
+bbccbcbcbaacbbabbabaaacbababbabbbbbbcbbccccbabac
+bcccbaaabcaacaacbccaaacbcacbcbbabbcbacaabcaacaacbbb
+cccbbbabaacbababccccaacabbaabcbcbcacbccaccbcbbbbaacbbabcccbbbaccbbbcbaaabccbcbbbcbbcab
+bbcabbbcccaabbbbacacabbabaababbabbabcbbbcccacbccababcccaabaacaaaaaaababaacbcbbbbcbbb
+aaabbcbaabababbccacbcabbbacbccbbcaccababccaabbb
+abaaccbabacbaccbabbbacbbbacbabccbbbbcccbcbbbbcaaccabcabccabbccacaccaacabcccacbaabbccaccaccbbcaabccacbccaba
+abccaaaacaccacbabcbccbacababbcbaaacbabccaaaaabcbabbcbba
+bbaaccbcbbcbcabbccbacccccbacbaabcbbabbaab
+cabbabbaaccabbbcbbbcaabcccbcccbb
+cbacabccaaaacbbbcbaacacbcacaaabaccacbcbbbcbababbacbbbbcbabbabcbcccbcaccbbbbbaccaabbacacbbaacbccbc
+baacabbcbaccbbcccabbbbbccbcabbcaacabccacabcaaccacaaabcbcbabbbbbbcaaaccbaababbccccabc
+bbbcabccaccabcacacaacbcabbbcaabacbccaabcbabcabbaaaaccccaccbaccccaacbccccbacbbcbbbcacbbbcccbbcbaaacbbaaacac
+abbaaaccbcccacbaacbabbabcabcbcabbcabcccacaccccbcababcbcacaabca
+bacbaccacabbccbcabbcbcaacaa
+bcacbaacbbabcaaccbbbccbbccbbbccbaaabcaabbccabcbaccbbaaabacaaccbcabacabcbaacbabcbc
+cbbbbabaabcccacacbcbabbbbacbcbabbacacbbacaccbacbaba
+baccbabbccabbabaabcbabcaabbcccacccccccbbccacabbbbbabaacbabbc
+ccabcbbbcbbbabcbbcabaacabaacccabaccabbccbabbbbcbcabcbbabaaaaa
+aaabaaacbbbbacbccacaacabababbacbcbbbabaa
+abcaabaabcbaaccbbbbbabbbcaccbcaccaa
+ccbcbbbbbcababaccbcbcabaaaabacaabaacbccacbaaabacbccacbbaaccacaaabaaabccbccaabbbaccbaabacbcbcbc
+bccbcbabbaabbbbcbbacbbbacbbbabbccccbcbcabcccbbbbbbbbcbbababcbabbaacb
+baaaacababcaacacbbccacabaac
+bbbbcbabcacbbbccabcacbcbaabccaccaacacacaccbcbbbbcbaacbbaac
+cbbaaaaccabbaabcabaabccbaacccbccbbcbcccccacbcbccbacbcbbaababbbaababcbbccb
+abbabbbbbc
+cbcabbccaabbcacabcbbcaababcbccabacbabccacbbbcbbaacabcbcabc
+acaacbcbbacbbcbbbcbbcbaccbccaabcabaccabaac
+cbacccaababccbbbabcccccbaaccbbbcca
+bbacaaaaccbaaacaccbabcabbcabcbcaaaabbccbacbcc
+acbcccbcacababbaacaaacbccababbbcaaaabccccacccbbababcbcacabacbabbbbaaabcbbcbcaabbcbbccccaaaaccccbccacaaac
+ccbaaaabcabbbbccacbcacccaaaacbbaacbcbbaabaccbbaacbabbabbabbbaccbacbbcabaa
+bcbacaaccabcbbacccbca
+accccbccababaacbcacacaaccabcccbaabaabcbaccaccababbabbcbcaabbccacaabccbacacabaacbbabcbbabcbcccba
+ababcbbccababaaabacabcbaabbacacabbcccabcbcaabbbabbbbcbcaaaaaccaacbcaababbcacac
+abccabbaabbaacabbcccacacbbcbabcbccacabacaabcacbaaaaaabbcbcccaaabaaaabcaaabcaabcab
+acbcaabaacabcacbaacbacabacbcaabcaabcacbbcbbccbcaacbaab
+aaaaccbbacbacbbbbabbacaabcaaacbabcaaabbcacaaaabcabccabccbbaaccacaabaaaccbbbabcacaabbaacbbbaaaaa
+ccbabbaabbccccbcbcbbbabab
+acbbaaccbbbbbacabbbbaaaaaccbaabaacbacbacacbbababcabcaaaacccacababbbbaacbcccbaaacbababcccbcaccbca
+aaababacacbacbbbababcbababcacacbcbcacaacbbbcabbbcccacaaacabbcccccbababacaa
+bcabbccbbaacbcacbabcacbacaaacaabcbbacbbcabbacbbbbcbacbcaac
+bbcccbccbcaccbcababc
+aaaaccbbbcbcbba
+aabbcbbbccbcaabbbbacccbbbaabcbabaabcbccacaabbaacaacbcbcbabcaccabcacbccacbccbabaaccaacbcccbaaa
+aaacbabbacaaccacccacbcabbccabbcbcaaaaacbcaccbbccabbbaabaacbbcccababcbbababcbacbbbbabacaaaabccbbaab
+baccbbaabaabbcbccccbaaabcbbbaaaacccabbacbaabbcacbbabcccbbacaabababcbcccabc
+abbbabcabcabcabbbcccbbaabaccbaabcbbbcbcbbaccbaaaaabcbbbacbcbbbccbbcacbabcabaabcccacccccaacba
+cbbacacbcaccaaaaabbbaaccaaacccaabbbcaaabccabaacbbbcaccacabbcacbabbbbababacbabcbacbacbbcbababcacccb
+acabacbbcacaccbcbaabbbbcbbbcbaaccaabcbacaabaccabcbbbccbaccbcbcacab
+bbbcacaaabccbbacabaacccaaaabcccbcababbabaaacacaaccaaaabcacbcbbacabaccacbcacc
+aacbaabcccbcaaaabacbacccabacaa
+baabcaaabacbbababbacaabbbacbcbcbaaacbaabcbacbbabcaabbcbccbbaaacbcabbaabbccbbcaccbccbbbbaacbabacb
+aabbaacaaaccaabbcbbacc
+abcaaaaaacaccbbcabcaacccabcbcacbccbbbbbaaccbccbccbaabbcabbabcccbbaacbcbcbccccccccbabbcbc
+cbacacbacaabcaabcacbaacabbacaccaaaaccbbccaaacbbacaabccaaaabaaaacabacccbbcbcababaaabbaccbbcaaa
+cbccabacaaaccccccabacabbabcaacccbbcbccabbcaccbaccccbabcaabbbb
+bbbaacccbabbcbaabbccacacccbcccbabcbbabbbcabcbabbbababbbcbcabbcacbcaacbcbbaaaabaccabba
+cbcbcabbccbababccabbaacbcbccbbcaaacbacbcabcaccbbacbccaabbcbbabcbcaccaabcacbcccbacabccacccbaaaabc
+abccbbcccccbbcacbbcbbbcbcabcb
+bcbaaacbcaaaaabbccbabbbbbbaccbbcacbbccbccaacaccbcacb
+bbccccabcccbabbcabaabbbbcbbbcbba
+ababaacbbcaacabccbcbabba
+aacbaccabcabbccaacbacababccccabccacbbbaaccbbcbabbbcaccabcaacbaabacbcaabc
+bbbcabccabbabcbaccbbaccbaaacaababcbbabbcaccabbcabbbabcbabaccbaccbabcaabbab
+acbcccabcbcabcbcaccbc
+acbbabcccaaabbccacbabbacbbcbabcbacaaacbacbbbccaaccacaabacbbaccaacacccacacbbcacabccbbac
+abbacccbcbabbccaabacacbcbbcbbcbaaabaaaccbbbbaacacbacbaaacbabcbaabbbbabccabccbacaabba
+aaacbcabcbbb
+bbcabbcabbbbcbbcacaabcccaccbcccabacbaaccaaaacabacababbcbaaaccacaac
+ccaacacacabbcbcbbbaccbcabaacbccbaaacbabcababbaabbaccca
+ababbaabaaccbbccbbaabaccbcbcabccc
+abaabbbbcaaabcaaacbccaccbcbb
+bcbaaccbaabbaabaaacbbaacbbaccbaacabacccbcbaabacaccccabaccacbababcbcaacbbbaaccbbaaccbab
+bbcbbccacacbbbcbbbacaaccbcabcbcbbbbbcbaaacacbbbabaabbbccabcccabca
+bbccbaaaabbaacbaccccccbbbacbacbabbabcabcbcbcbbcbaabaccbcbbb
+bcabccbbccbbbbaaabccbcbacbbbbabcacbbbccacaaccccaaccbaccbccbccaacccbccbbccaacaacabccb
+cccbbbacbcbbbbcaacbcbccccbaababaabcaababaaabc
+ababaaacabcacaabcbbcccabacccbbcacaaccbbbbabbbaacaaacbcbbaccbabbacacbbcacaabaaacbbaacabacbccacbc
+ccbabbbabccbacbbaccbcbbbbabcccccaccbcaabacccacb
+aaacaaaabbcbcabaaaaacacccbccabcbcaccccbabbbabbacabccabaabbbbcbcccbbccababbbaaccbcaaccc
+bccacccabbbbacbbbaaacbabbcccabaccabaaccaccbbaccaacacccbcbacccacbabaabcccacbaacbbaaccccccaaabcbaabbcbabcabbc
+ccacabaacbbacacbababcabbcacabaaabacaabcbcbcaaabbbc
+abcaaacbbbccccccbcbacaabbbcbccaacbacabcababaccbcbbbbabaaaabbbaacbbcccccbbbccccaaabacbcabcacb
+bccbbbaabcabcbccbbbababaccacbbcacbaccbacabcccabbcaaacaaccabbbbbcbbaaacccbabccbc
+accbabcabbabbbacbbccabbbbabaacabbbcccccabbcbcccccbaacbacbcaaaabcacbb
+caacaabbcaacbaaacaccacbcccbbbbbbacbaacccacbcbacaaaacbaabccbbbbccca
+bcbacbcbcbcaaacbcaabbaccbacaaccaabcccbbacabacaabcaaccabccabaaacccb
+caaacbcaacbccaabbababcabcacbbaaaabaccccabcaccbcaaaaabcbcccababcbbbbbabacaaaccbaaacaabacaacacacbaa
+bbaacbbcaaabcccb
+cccacbcccabbcabacbbbcbcabacbbbcaabbc
+caaaacabbaaaabbcaaaabaacbaccaabacaccbca
+abbbabacbcccb
+aabccbbcabcbccacccccbaabaacacabaacabaacabcbcccccaaabbcaccc
+ccccbbcbccababcabbbbaccabccbaacbbabaabaaaabcacaaccbbbbbbbcbccacaaacbbbcabaccbbbccaabaaaacaacaccbacabbacccabca
+bccaaabbacbcbbbb
+cabcbaaccbacaacbcbbcbaacaaababaaaacbcb
+bbccbcaabbcacbcbacbaabbabaaacababaacacbbcacbbccbaacabbacbaaabccccbbaaaabccaacccbbbacbabaaa
+cccbabcaabababbacbbaccbbccacaacbaaaaaacabaaccaabbcbbcca
+cbacbaabbaaccbaaabcaacabcbabbcbabaabcbcacccaccaaaccbabc
+bbbbabcabc
+bbbacbcabcacbaaaacbccbccbcbabcbcaccccccbcacbabcaacaacacbaacbaa
+cbbcccabccacbbcbaacbaaccbbbbaaabbbbbaaaccbaacbccbcccaacacaaacacaaabcaccbabacbcaacccbbcabccbcbbbca
+abacbbcccccaccccabc
+abaacabaaaaabccacabcaaaaaccbbbccbbbabcbaaacac
+caacbcabbbcaaacbbaaaaabcbbbcaaabacb
+babacacacacabcaacabcabcacabcccccbcbccbcababacacbbbbabbaaabbaacaab
+acbccacaacaaaccaa
+abccbcccbbbccaacabaaacbba
+bcacbbbaaabbbbbccbcacaccbbbbabcabaaccabbcabbccbcaaaaaaacacbbabaaaaacbabbbcaabacab
+cbbacbcbaabcbacbcaccccaacbbcaaccabcbccabaaabbacaababaaaaabaabcbac
+acabbaaacabacbcccbaaacbaacaccacacbcaaaaaccaccabcccbbbabccbbccbacbaccbaacbabb
+aabcccbcaabc
+bcaaaaabcacbabcccc
+baaabaaabcbcaacacacba
+acaabbacccaccaccbbbacbcaacbccacbbbabbccaacccabbaccabbcaabbcabaaccbacaacbccbaccbbbcbabaabaaccacaaccabcbbcac
+cbbabbcbccbcbbccabaccbcacbacbaacaaccbacbcabcaaabbbaccbcbccbccbbcbbacabcabbcbbccababacabacc
+ccabbcaabbccacbccacbaabbbabababbabaaabbbaabcabbbcabbaccabaaccccbabcbacaaabcab
+acabaaaacbcbaacbaaacccccaacaaaaabbbbaabcccbaaacacaabccabcba
+aaaccbacaaabacaccbbccaabbcbbacbaaabcaaaabaacbcccacbbcbbaabcccbcaaaabcb
+babaaacaabbccabbbbbacbbbbbabaccaaabcabbbbcbcccabacabbbacbaacbccbcbc
+bbcbbbabbbcbbcbbabcabaaccaca
+abcbacacbbbbabbbcaabaaabbba
+caabcabaabaababb
+bbaaccbbcbccabcbabcbaccaabcbaabaaaacbabcabcabcb
+bccacaaaacaca
+bcccbbbcbbcbbcbbcbaacbaaccaabbbbcbcabccaacabcbaabcbcca
+bbbccbcaacbcb
+accbcbabaabcbbccabaaacbacbbbaabacbacbbaabbaabccbacaccabcccbbcaaccacabbbcbcaaaccaaaccaacaacaaacaab
+acccbcabbaacabcbabaabaabbaaacbabbbacaaacbabbcbacaacaabcaccaacabcbcccbccabaabbaabbbccbaaacbbccbacbcaab
+ababcbabbcaacabbbabbaabbbcbcaccbbacabaaaaaccbbbaaacbbcaaaccbcbbcbbcabbcaccabccacbbcccbacbbca
+cbacbbaccbcccbbbcabacbccacaccbabccaa
+acbaaaabcbaacabcbbaccabacaaababbbcccbaccbaacabbaabcccca
+acbabcbccbacabaabbacaababcbbbcbaaaacbbbccabaaccbbcacbaccbbacabbaccccb
+cbacbbbababccbacbabacbacbabcaabcbcbbcbcccbbaabcbacacabcbbbbbcbacbcaabccccaccaaabacbaaaaacbaacacbbaacbcacbca
+aababbaaccabcbccabaaacaabaaaabcbccaacbbaaabababcaccccacbacabaacbbabaccbabcbca
+aacabacbabacbccaaabac
+caccaaaccbbacaccacabcbbcaaaccaabacacccb
+abaabbbacabbaacacaaaccbcabaab
+bcabbababaaaababaacaacaccabccabacbabaaabaababcbbacbbcbaacabacaccaabbbbbbbcbcbcbacbacbabababcccacacabcccac
+acacbccbabbaaccbaabbbbbccccacbacaabbcbabbbbbabaaaabbcaacbcbaaabaccbcaaaccaacaaccbaabccbaaccbaccabcbbcb
+abbbabbcacccabbba
+268 135
+badcbabbadcacdacbdbbaccba
+ddaabbadcdcadadadcdcbabbaacdcdccacaabdaddcaddbbabcbacacaddcbcadcccbdbaadbaaabcaccadbaccbcbadbd
+adbddcdbadcd
+baabccbcaddaabcbaccdbcbbbccdbbdadcdcdb
+addacabbaadbdadaacadbbdabbcabbdbbcabbdcabdbbccabbcdbdbcbacaccddcbcacaadbdcdadabcccbadddcbcab
+abddbcabdbaaddbaacbabbddccdcdbcaaabdcbbbc
+cbcaadbcadcdcdccdbcaabbbcaadaadcddcabdadbcbcaccacccdbaaaaccccacbbccdbabacbcadcbbadbaccccda
+dabaaadddcdabcbaaaadbaadaabbadcaaaaadcddcaacddbadccdcaccabbaddbbdadcbabddaccdcdabbdccbdbbcdccddabdcddcc
+cbabaccacccdabdcdbacaddbcbaaccabbabadaadbcbbcbadaabcbdaabaabadacdbabaddbd
+aaacccbbcdadbbcacccbdbdcbcdccaadbdacdbabbacadabbbaababbdcdcadacccdccdbbbccaaadaac
+cbaabadddccbdbbdddabdbbacabdacadaddbab
+cdbbdbaddbcadabcccddabcbbbbaaabcabdcddaaaababbdbbcdbdaabdccbbbdd
+bdadcadaadbaadbb
+caabddacadbaabdbbddcdcbbcdddaddadddabcdbbddadc
+accbbbdcbbbdccdbbcddbbaaacacacbbcbbbdaaabaddcadbcbacdbbbcbcbdaacbcaacac
+cbbadcdcdbdadddabadbaadabbcaadaccbdadbbabbcbdbcbbccabcbdcbcacaacabdcccbdbccdbdcbccaddcadcdcdbbcdacdbdac
+dbcadbbcbaabbdabccacbddcdbdbaacacdadcbdaccbcdbdaadbadccbabdbaacbabdbcbcabcccacdccddaccbcdccdaaaababcba
+dbbadbbacdcaacabbbbcddaadadacdcacbbdbaabdcbbdbbdcaacdccacddbddddcaaaaddbbaccaccadaacbbbbcacbcbb
+bbbabcdbbdbbdadbbacadaaddcbbccaaaabcbcddcdddccbbcbacdacbacccdcdcacccaddadaaacdababddbdcbcbccabcaddccdada
+daaadaabdaacbdddbdaaddbddddcdbddbddcdbcbabacaaddcacaccccaadcbabaaccbc
+babddbabbbdbbaccabcaaabdadcdcddabbdcbbdbabaadcddbcaababddbaadadbbddb
+dbbbddcccdbababadbddbdcacdddbcdddbcaabadaabddabbdbbbcadacdbbdaabcddbcdbbaabddbadccccdada
+dcadbcbdaacacbcbaadccddcadaabdcddcccaccd
+dabbbbacadadcaccbbddadcbaacbabcdcccdbbbababaaadadbdbcbbbadbdbaddbbcdbdcbbacbdacdbdbcbacbdddaaabbbbdbcba
+adccaaabbaabcabaaccbbcadbacacaaddcdaacccbaaabcbbbbcbbbcbbcbbccbdccdcdccdcccaa
+dabcbaadbaaddbadcaaacacabacabdcdcdadbdadcccadcdddcbbadcabbdddaaadaac
+aaccbbdccacbdcdacdacaccbacaadbcbbcaabbdcddbaca
+ccadcdbaacbcacabcbaacdaaaacadabcdbcadbcacacbbcadad
+dabbdddabdbcdadadcbabacaccbcbbdadcdbcabccabaabcbccdddaadaacddbccaccaababadcccbaaaa
+bcbacaaabbaadabdabacbcccbddbbdcbc
+ccbdacdababbabdaadaacdacbdcccbbcc
+ccacbaacabccdddbbbbdbbaadbbdcdddccacacabbadcbdaddbaadcadacacbcbccadabbacbbdaddacccacddaadcbcdacbdbbcca
+dbabbbdababbabddcababdcdbddbcc
+babacacdaddbdcaadcabdbbddbcdbbddcbdbabadddcadcdacdddabcddbbcaabcdbbdbdaacddbcdcbc
+bcdbbbaaccddcaacdccdabcdadabacdcadaabddabcbccacabcbabdbbcaabdbdccdbacccbcdbbadcaaadabaacbadac
+acdacaddbbbbaabbddbbddcaabadbcdcbaadaccccddcabcbbccaacccdcacdbbcbbbacbb
+cddcbbdbdbaabababddadbcbdbccadbabcba
+dbaaaaccacadddccdc
+cbdccdbdabadabcbcbbcbaabbddacbbaaa
+dbbadddbbbdababdbabdbacdaabaacccabddbddbcbddadbabdcabdcdacdddccaccabcabcdbbbbccaaaacbabbbacbbdbdadaa
+ccaaadcbcccbdaddcccacbd
+adaaccbcadaaabab
+bdabdddbcbddddacdddadadbaddaacdddccadcbbdcabcbbabacabcccb
+cbcadacdcccddbccbbbcadaacccaabbcddbbbcdacbadbcadabbdcbcacabbbdbdbdcbacdadbdaaddddbd
+cccacddbdacbcd
+aabcddcbaadddabcd
+cadcdbbcbbdcacaadbadacbbbcdcabdabdcdccacbcabddadddccdabdacbacbcccbcbb
+abaabbaddbccabddcccccdbcaacc
+adddabcabbcbababbdddccccacdbdc
+bbdcbdcdbabbbdbbcdaddaadaccacdaccccbdbcdbacdacdcccdadacbbacccdbaaccacba
+bbbbadccddacabbaacbaabddadcaddacbdacbac
+bcdaaacadbcacdacdddcadccbcddadcbbaaaaaaaadbccdcdcbabadaabbbcacdbddadbaddddcdcdaaabbcc
+bdddacaddabccacccdcdbacbbbcdcbddaccdbbabbacdcbbddbbcbcadadabcdcadabbbcbacddbaabbbacbbddad
+ddcbbcdddcddcacadcdbcdcdcccbbaadcbbabdcaabdcddddacaddcdaccbb
+ddadbadccbaadbdabcaacbaadcaabdbdaabaabccdbcbcadbcbacbabcdbcddaacacacadbccbbcadbcccc
+cdbdadccabcdcaccccbcccbcdcbddacacbabddaddacbcdcccdbabcddddcdbcccccbddbcaadcdacc
+bbabbcdbdaabbcbacdbacbdaddababacdacdadbbbdaadbdababbcdadacdaaddcababcabacacddbcccdcabbabbac
+bdccbdddbcdbdadaccbbbcccbdacabddcbdbdddbaabbddbdbaaaadaacabadddadccab
+bcadcadddabcdbabdbdcddcccadadcddabbadcabcbacbaccdacadbcdbcaccaaaccdbcbdbccdcbdabdbab
+bbddcdabcbdcbbdcadbcabbbcdbdccbbbbdabadbbcccababcaca
+dabaccbdadaddcacdabaccaaacddcadaadddaaddbad
+bbdbcdcdadbdbabdbbcdcbbabbdbbcbcdca
+aabdbacdbcbcadbdccbadacabbbcdddbbabddccacbbbbbababbbcacbbaaaddcbdbcddabcbdabbaccaaca
+cbccbdaabdbdccdddbcdbccaadabcacadaacbdbddddcccbaadddbcba
+accadadadbcadcbadcdacaaccccccdcbadcbaabd
+babbbbbdcdabdbcabcacbd
+cbaccbcbdcbadcdbbcbddbbddccdbbdcbdabbcbbaddbbbaccabbdcdadadadaabcdabbd
+cdbadcbbdbdabbbcddabbaaacacdbbdaccbbda
+aacccabaaccadcddcccadcddccdbbdcdbcddaccaabaaddbcddcbaabb
+dcadcabbcabaabbbbdbddbcadabacbcdccbacdbadadcadbbaabbdcbdaabadccdbcadabcbddabcbcdcbdaccbcddaadaddbbacdccadcdc
+ddaccdbbbcddddbacbaddacdcbdcddbb
+cdaacabddbacaaaabbadbbdbabdbcbdbca
+adcbaacbccabbaacaadabcdaadaccbaadbbadabacadccabbccaaccbc
+bcdbaccdabbdaacaabadbadacacdddbaadacbcabadcbdd
+dcbcccddbabdcccaaadcadbdbadccacabcbbcbbbccaccdacddacbbccbacddddbdbdcbddbcdcadcaacbbcdbdddaaadbaccca
+dbbaddadccddcddbdbbddbdcabbaaabcdaccdcbcaddbabdbbacacdddcbadaabddbbbabaaadcbcbddccabaaacdbadbcddccdcd
+acddadacbdccccdacbdabbdccdcdbcaadccccaaaabcadccbdbad
+cbcddbabcccbccbdaddc
+bdcdacdacbbdabdddabdacbdcbdbcdadcbbdbbddbbaabbbabcadbbdbbabdccdcabc
+dabbbbccbadcbdbdcbcdadbcacbcc
+cabccadddbbcbadccaadaccbac
+cdbddacaddbdbbcbadbacdddcaacbbacddbcaacbcabdbbcbbcadcbdacca
+caaacdcbdcabdcddbcddbddbcababadcccbcbcbbdbaacddbdcbbcbdcbcdaadabcacbbbadbadbddcadaabcaddcbabdabcdadddbacacabb
+dcabbddcdbdbcbbddadaadbccb
+bcdabccbabdadacbdddaddbaddbcdbdadcbccbbadabcbacbcdccdbccabadbadbbadadabccbadbbbbacc
+ddbbcbadabbaccdadcbd
+ddcbdcacccadcbabdcacdccdabcaddbbdaacdccacdbabca
+acabdcbdcadbbaaaaaadbcbaacababaaddbccddabdadddacbdadcddcbdaccdcacbdbbaadba
+bcaccddaccbccdcdadaccbcbdadacadddddcbdddcdaddbbdbc
+abbaacdaacbbaadcacaddabaaabacdabaacaccdbddbbaaccabdabdabaddcbbbacd
+cabcacdbccdcbabbbcddacccbccdbaaddbcbddaddab
+bbdbaadcbbadacabbabdbcbabab
+bbabcccdabaccaddbcdaddcabddddbbca
+cdcbdddcbadddd
+cbadcacddadbdabcdaccadccbadbaccab
+bdbdbbccbdbabdadacdcabdcabdbabddbcaa
+dabaabdcdbacbacacccddaaaccacbabdcccaddccacddabcbddacbab
+cddacabccaabbadabccbdc
+bdcdadabacbdacdaabbbabbacbbcaacddbadbbccabaadcbbdbbcccacbabdaaaacacabdcbccaddbcabadbcab
+adcadbaadabbcdcdc
+bbadbadacbdbbd
+dbbbdddddbccdaddcbdddcdcdadbdbcdadcabacadbdbcbcacaddbdababbaadacbbcbdcdccbbadddacbdcdbbcdcacbbc
+caddbbaadaabdbbbbddbdbabcdbdcabbcbcdccdaddcadddccadddcdbbbbacddadbdddaccdaddcadcadadbcbbcddbbbdcbcbccbabdaa
+acbddbbbbbaadd
+caddaabbacbd
+bcddacbbbaabcbcadbbdabcdbbcdbdcbdbaadbbb
+ccbdbcdbddcbdccbcddcbccabaaaacdacacbadacdbabdcadddbccadcbbbddadcbcbac
+ddcddabccaccaaddcda
+acbdbcbaabadbbcbadabaabaaaaadaaddcbdbdccaabbbdabccbdaaabbabbaabcccabcdcaaddddabddccadcdabd
+ddbaacccabadcbddccbbbcbacbabcaaacca
+adddbdcddacaadccd
+dbbbbbdcdbccdbcbcadcdcbcbdcbadbbcaabbaacdcdbbabababbbbbdadbca
+bbaaabbaaccadcdadadcaaddaabdcacdbddddbddcabdddbdadcdcdddabdbbbdaddbbbcccbcaabbacabaacacabd
+ddcbbdabdbcbbcbabbdabadbbdaaaccbcaaccbcbadcabbdcbaaadaddabcaddcdbdddbddddbcdaabbbcaaadbadbcddcdb
+accddacbdccdbdabdadbbddddabcbcccdaadcdaaddcaaaaadcbbdaccadbbbddbddbbabcdcbbdabbadcbabdbdbcaacacacaadd
+cbcaacaacbddaa
+cddbaaaadbdddaacbcbcdcaccdbdbadbbaaadabbddcdddcbcbcccdacabadcdcdccddd
+cbadcadbdadabaaacdbdbbbcdbdaaabdacaaccbacaddbbccbdbcddaaccaaaacabdccaaaadacadcddbbbaacbccadbdbcccbcdaacadcdd
+aadcdcabccbcdcdacccdddaaddacbcdccacddbbaacdcdcacdbaacddddbbaadacbcabaaccdbd
+cddbbcaacddbaadcacdcccddabdbbcaddcbcabdcbbaddbbd
+dbdadcddddadcbbcadbcdbddbdcdacbbbcddbbbdbdbcababacbaabcaadacdbacbbcbbcc
+bdcbcdbbbcaacbdabddcbdcacccbaabccabbacdddacbbdaaabccacccdc
+cbcdcbbaacddcbddbaddccbdcbadcdabcbaacdcddcbdacddaabdddaacbcdaabbddadcaccdcacdbdaaabaaabcdb
+dcaaadaaccccabcdcabcccbdababcadaabacaccacbbabccdbddcaadbbddcdacccabdbaadcdbccaaaddbbccadc
+cbcddaabdbbaaddcd
+dcdaacaccdadddaabdbddcbba
+cbccacaddaabcbbacccbabbdadddccbaabbccccbbdbdabbacadabaabccadacbacaaacbabdbbcbcddabacbadcbcdcabbccdcbbcbadc
+adadacbabaabbbdacacdccbdbdcabcbdacadcacaabcacaabcabdccabdadbbdcdaabadcacbbadbcbbbdbbdbcbbcccabcbdaddddacacda
+ddbadcaadadcacbaacaaadcaadbdbdbaadbddacabdcddcaabcdbbbcccbdddabaaadbadbcccabbdbadddaaccabcdbddadbbdcddccb
+dcdacddbcddccbcada
+ccaabdccbaaaacbdbccabdccccdacbbcaadbaccbacaddcbcbbcddabbbdbbdbbbccdcabacdcbadccbdadcabaacdadddd
+ddccdddacddbaabdabdbaaddccdbbabbadccababbbaddcaabcbc
+cabcaccdaacdbcabbcdbabdcacccccaadacaacdcbadadcdadbadabcdccaddacadba
+bddcddbacabbdabbabcdabdcbbbddbdb
+bcbdbdbbaacbacbdcdcbbabaabcadbabbcbdddccacab
+daabcaaaddbcbcabcccbcabddbcabbbbcccdacddadddccdabdabadab
+bcadaddbbbdbbddadbbbcaacacacadbbcdabacdbbbdbaabcdcadacdbdadcdaacabdbdbcbcbabddadbdcaadddacaadbbcbdcccddba
+ccdabaabdabbbdaddaadbadada
+ddcdbdcbbbbacddbbbacbdbdacadbbbbdbbcabcdbcbccbbddbdcdcaacddbbcddabacccdaadbdbbacadbabdbabdda
+dcbdcabaacddbdaabbdccdaaccbadcdcdbddddaaaaccbabcacabcbddbcbabdadadacdcdacbcdcccdcaadcd
+aadbdbbbaddcbbcaabbcdbacbacbdccccbccaa
+ddbdbcdbddd
+dcbcaacdcbaccbbbabbbcaccbbcbacbacaacaadaabbccabbbcdcccdabcaaccbbbbbdabdaacacdaccbdcacacaadbadbbbadadccacabcd
+dddacdacacabcdcdadcccaadcdcc
+daacbadbadccabdbcdadbcbcdaabbcacbbcdbdacaaacdbbaaabdcdabcddbaabcbcaabcdbbdadadaccdaadaabbbadbdcbdddacdabd
+cabcabcbabcbb
+dcdddbaadbabdbcaacdaddcdbddbcabaccbbaadccbccadbabaaddbdaacccdaacdccacdcbdbacbbbacdcdcaddacacd
+bbbcdbaccdabaaddaaccdabccdacbbbddbccabca
+ddbadbcbcadbcacdadaadaaaadcbaababccccbbaaaddcdcbaaaa
+caddcddccbdcabccbcbbbbbbcaddacbcbcadaccbadcddaaaacdabdbdccabbacabcccdccca
+cbbcabcdcdbcbbdacccaadcbbdcbddccaddbacdaaaaddbacbc
+dadcdbbbabaddddbdabdcdbdcbaadbbdacabcaaccdcdccdddbacaab
+cacbdcadbcbacaddcaabbcdaaabbcdccbddcbaabbaabddacadcdaccdaacc
+cbccddbabacbbaabbdddbcddccdbbdcdabacabcccd
+bccaaaabaadcddbaacdbcbbabcabacdccbdbaabaddddaddababcacadccaddccbbbcbcadadd
+adcdcacacabbcbdbccbbbbdabbbdbacaddbdcbdb
+abcccbddabbdbdccabaacbddccdddcacbadbddabdaccdbcbcaddbdaddddbddadbcaaacdaabcb
+cddabdaacddaadadbaadacadcdcbdacccdcbdcabaabcbcddcdabdbbddabbbdadcbdbddccdcbbadbaadbccddabacddcddbcadbcbcacb
+cdcdcbadbdacdaccdddcbbcaadcbabadddcdabdbddaacaaccababcd
+cbdcaadcacbdacbdcbcbddbbdbcbdcdbbcbcbadabacabbdaddcbbbcdcaddddcbd
+cabaccbaad
+abccaaccbbcbcddabacdbdcdbaabdbcdacbddbacbddbc
+bcaabaaaccacaabbaadcacadcdadabccdccdbbaaaabbccddabbaabdcabcabaaadcabad
+ccbcacdbababbccdacaccbbabdccaccdbdaadadaadadcbcdbccaadacb
+abcacdadcadacadacabcacbbdbd
+abaabbcdcaccacadbaccbdbacbddddccaccdcbcccd
+bcacdaaaccabcbaacaadbcbdcb
+bddcbcdcbdcadabcacdcbbcdddabbbcaaabbdccbdcdbaadadadab
+addcdabbaddcdbcaaabccdcbacdabcbabcccdb
+dccddbbdabccbdacdbdcddaaaaddbabdb
+cddbbdacdbcbdbbddabdbccccccddacbababba
+accbbacdccbbbcccbaacdbdcbaabcdcdcdddadddcaacdbacddcacdcacddcdbabddcadcdcbdbbacaaaadadca
+ddbaadcdaacdbccbbabbbaabcdbadcbbcabcbddaaaaaacdccddbaabcbbccacacccdb
+bdcabddccdbcacbaccdacaabacddabddbdbadccacddd
+cbcbbccdcbadabdcacddbcabdbbccacbacabbcadbbdacbbbbbadadabbcccbcdadbcbdbcabdaccbddbcdbdaaddcabdaa
+dacdadcacabcabdaaabdbadacdbabdbcdcbcbdadcaaccbbdcdbcbcddabddcabbcddcdabddbadddaadaaddabcdabc
+ddbbacdadaccddaaccaabbbdcadbcbabdabbbbbdc
+dbacabcdabddadcadabccabaccbbaabdadbddcbccbddcabdbcbcaacaadaabacaccdacaacadcdaacddcddbdcb
+dbdaaabadcadacdcadcdbacaacddbdcdacbdcbbbcbbbadbddacacbdcbd
+dcacaabcaabbcaccbabbbdcbbccdbbaaaccbcdccadabdbbddacbacbaddbdcadcbdaacccacbc
+aabdbbdbcbbbcbcb
+cbbdbbadbdabbcbcbbaadbccccccddacbabcbdccccaadcadcc
+ccdbdcaaddadbccbbccccaddbdbbccddcbddddbaacbabbcccacbdcdadabadacbdbbacdcbaddbabbcadbcbbabd
+acbddabbdbbdacabbcbdabaadbacddabdaabddcbccdbdcbddccaadddacddccbcdbbcbacaddbaaaabcccdcaaadcacdbcbbccdadcdaaaa
+bdaacbcbcbcadaddcdddcbaccbddbcaacaadcbacdcccddbdbddacbbcabbbaadbcddaa
+bdcaabcaaabcbcccacacddabdbdbabbbccaddbdcbcbcaaaaacdadcdcbddcadbdbbabbbddbdaabacd
+ccaadaccbbbabadacdacdadcacbbadbdbbadcbbcdcaabadccdadccabaabadadbcabccdbbcccaccacadabaa
+babaddabbabdad
+dabdadcdbadbbccaacabcabbbddbacabbcdccdabacdbdcdadadcbcbdaccdcbbdcdcddbcdda
+bdbcbaaaaabdccabadddddbacadaaabbabdcabccccddcadc
+dbabdbadaccacdabbacabdddddccaabbabbddbbbbdbbbb
+acaaabaccdcadccabbcbdbcaddcdbcbbadbdd
+aaacdccdbabdddbdcaaccacdabacbbadddbcadcdacbbccbadbbbdaacbbadaa
+dcdbdbbbcbbcaddccbdacbaad
+aacbaababaacacbbdcccacbdaadbbbbcbaddadbdcbcbacaadddbcdbcbcbabbbccacbdccabdcabccdadaabbbccbdaabccddabdaaad
+adaacacabdababbaaabbdcddccdaccdddbaacdbddcdddadbdbcadaabaccbdbcdcaacaaabbac
+cbbcbccbdcdadaaabbdcdccadccbdadbcacbdddcdaaabcaadbdccddbdbacbaaccdbdcdbcacabbbbddddb
+acdcaabbccadddbbacadbddabdbcdcbdbcac
+baddadadaacbdbbacabbcbadcdaabddbbcccabadccdaacbdcbabbbdaacb
+acdaabbbabbccdacaccacbbbddaabcbbdcbbdba
+bbccccbcacbbcbbdabcddccddadccccabccabcbcacbadbdbaaaabbbcddbbddabbddacdbbadcdcbabddadcdaddcbcaabaababaacaab
+bdabcaabddccabbbd
+dddbaaaccacbddaaaaccaccbcccccabacddbdcbabcaabdcbbaccbadbbcbddabdacabbcaacddbcca
+daacabcccbb
+daaddbbccdbbdacccaacdabadcaaccbaaccdbdbbdcbbccdcaabcacaaccadcbcddbadbcbdcacbdcbdbcc
+bdadacaadcccbacacbdddabadbbcdcccadcabadbcddcabaadcacaccddabddaacbcbcddccbaccdadbbaabdd
+adaacabadbbcaccdbddcdbaaadddadbbcabcdb
+caaadbacdddbbbcbdccababdddbbabaadcbaaccbccaabccbabccaaaadadaadcddbaccccbaccabcadcdbd
+bbaadccaddddbdccdbdaacdddaadacbcabd
+ccadbacdbbabdadacbabbaacdbbccacccaccccdbacdbadbdbadbcbdaabdababbacdcbbabdaabb
+dacbbcdaddbabcccbddacccbdcabbdddddadabaddbbcbcbddbdbdbcdbaacdbdbcaabbbadbbabcadad
+dcbdcadbdcbbddbcdbccbcaadcacabbaaabcdddcacdabdccdacbbcdcbdaccaadaacdaaddadaaaaccccdacdd
+adccdadcbdbbbaaabdabadaacacdbaccadaacccbaccaaaddddbbc
+acdccdbdbdbccddbdbababbbbadbdaddcdacdbabcddbdddaaacacdbaacacdadbddcdddbcdaacbbacccdddddaabdddac
+acbbbbcabcbcdcccbabddbcdcdcccbdccbcdadcbdabdcabbaadbccbabdaababacbbadbbabdaaddbccada
+daacacdccaddbaaaabbadbbadcbcdbbddaaaaccaadcdaabbbadaaabdbbcbdaabdddbdaadcddcbbd
+bcbcaabbadadcccbdcbdabdcdaacbbbaaccbdacdbdaddaadbdcdaadaaacbbdcbcbaacacdaadb
+cadadcbaccadbcbbccbbcdacbccacacbabbdcadccdbabdcadabaacdddacacacddc
+abdddcccabdaccdbdaaacadddcaadcadcccddbccdbadccdcaaddbcabccddddacddcacccbbadcabbdbadbdaabdacabdcdbcc
+ccbdadcabacdcaababaadcbdcbabbadcadccaacdcbbcdabcbcaab
+abaadacbbbcbaadcbacdddcbbdacbdbbbccabcdbdaacdabaabbaabdbdbbbccdbadbdcccbbacabcdadbbaccaaaccbcbbcdadacaa
+bbcadaacbcddacabcaacddcdbdcbaadaaccacdccd
+adbbadaacadaccacdaccdcbccdcddcbbbcdcbcadabbcdabbaddbbdadacdcddacbaccddbacdacdccbbcdbacbcacdcdadccbbbdbaa
+dbddbcdbddcbccdcadddcbcdd
+badaaadabbaacdabdadbccddbbccaadccaddccaacccaddccdbaacdcaccdaaccaabac
+ccacaacbddbbabdaaadbadcbbdbaacdaaddbacdbdabbcddbdaccbdabbaddbadcabac
+acccbbcbaccdbcacbcbabbddbccaaddacbbbdcbccaac
+babdccdadbdbadacbccccacbcaabdcdbcacabbbdbadbdaacaabdccbbbaadbbabaaabbcaadcbcabcdbccdccccc
+abbcacaadaacbdbadcbbddbaaddaababa
+ccbccabddcbbaccdcc
+cbcccbddaadbbccabbacabbccccbcaabdbcdadacabcabbbaddd
+caabaacccbbbdddccdbbdcdccaddaadccdbaacbbcdcbabdbdaccaddccacadbdbbdbcbdbdcbcbbdcddcacdaabdaccdbdadbdcadabaac
+caddcdcbdcacbadcabcdbabdbddcabbabdcbdbccacdbbabbcabdbdcddccbdbccabbcdcc
+adbaacadadbcabaccddbbddacccdccccbbadaabbddbcaca
+badccbdcdaabadbcbcccbbdbccdcacacbbbaaaaaddcdbadacaadcbdddbbddccaabbadacbcaabbdbabddcbddbaadaaba
+aabbdaabcdadcdbcabccaabaccaccccbccdbbbbaccacacbabadadcccdcddbdddaadb
+abccbbcbaaddacdababcbdddbcdaabdcbbabbcbdcddbbd
+abcacdcdbcdcbaadabcbccadcdcccddbdaddcdaddbbbbbbccddabddddaacbacbdbbcbdcadacbbdcddbbd
+dacbcdbdadccbaacacbbdcbaadcddacbbacdcaacadcccdcbbdddcaabcbbaccdbabdcbdaccbcdccdcdabcaadbddad
+bdaadbcabdabbccacacccbddadccdcbbbbdddbddadccaccbdc
+bccbacabbbcccbddadbabbbadacbbbacdabddcbddacbbbddcca
+bcbabdacacccbbabdcacacabdcdcabdbdcaaddbc
+cbcadbcabadcbdacbbcbababcabccaa
+acdcbbdcaccbdcdcdacbccdcdabadaabdbabdccaccacbbdabcccdbcdd
+baaacbbcbcaccbaadbcdca
+ddacaadbadcdddcbdadbdcdddadabcaa
+cbdacadaaabbccadddcdcbdccbcbacacdbbca
+cdcbbbbaccbdacdbdaadadddadddbaaccdcdaddaaababcccdcddddcdcbcdccabaaaacc
+cbcbddaadaccbadcbadabdcccccacbccba
+daccaadcbacbaaacdcabbaadcbbbdcacdcdbdcacadaadabadbdddbccdbaccabdccacb
+acdadbdbcbdcbdcbddddddbdcaccabcbccabbbbbddcbdcaadaadcbdcaaabdcccacddadbbdacdacbdbbbadcdcdcaa
+babaddccbbbdadaaababbcbdadbcdabdcdaddbabdadbaaaccbaad
+dbdbdababdddacabdbcdcdbccbbbcabbddcbbdbdbccca
+dbddaabcdbababdbababdcaadbdddcddabdaccdbdccbacacaaaddaabdaddacdddc
+dccadabdbcadcbabcacccddcbadaccaad
+cdccbacbcaadbdcda
+bcbadaddaabcdaddacabc
+cddadcdbadbaaadcaabdbdbdaadabbdbbcaaaacbddcdcddabdadcabacbdabcbcccddbadbadbaabcbdcdaabbabcaabddb
+bcacbdcabbdbdbc
+acbbbcccccbbbadabbdbcdabdddadbccbddcadaddbcbaaadbbbccaabbadbaadbcdbcbccdccdba
+dabbbdbaaaaaaccdbbaddbcccbadcacaabcbdbddcbbaddbddbbcbcdadbbdcabbccbcaaddabcabcbddadaacabcbdd
+adadcbdbbabbbaadbadabdccdacaddcadcaaabdcbacddacdaaaaccbcbdcbab
+ddacbdbcccaccdccacccdbddaaad
+cbadbdbbbddbacddcaadabbaacdbcabdabaacdacabcaddbacaaad
+dbbbddadddddabaacbbdbbcbdabcaacadabacbbcbcabdcddadaacdcccddcbddcbbadacbcddccccddbacbabbdbaacbdd
+cadcdabdbddacdbdcaaadbc
+adcddbcbddadbcaccaabbcabbaaabbcdccacacabbcdbcabaadbaadcbdbbdbbbbabdcaacaabbddbcbdddacabcbbcba
+cacdaccbccaadbddadacc
+274 98
+ccbdaddccdcbdbacacabdbbccbcaabaaddabda
+dcabadadcacaddbcabbdacdadacaaacaddddddbaddbdaaaaaabcc
+ddacccadaaddbdcbccccdadaaaadbadcaadcbcdbbdbbddabaaacddcbbdcccabcabccacbaccdcabbacabc
+abddaacbcbcdadaacdcabbcaaccbcbdaabccdaadb
+cdbbcdaadbdccadacbaddbbdbdcacacbdccccdbbccaabdadbcabddcaaacadaadddcababccacabbbadbbababbacaccdbccbabdc
+cbccdcaabddcbcaaddbddccaccbcbcddbdbbbbdddcdabdcbdbacbbcccbacadbabbacaab
+dbabaaccadabbadabbaddbdbaddbdbdcdccbbadaadaabbccdcacdbcbaa
+baccdbdaadddaabbcabbbaaaadd
+bcdbdadcdcbcaabacbadcdaccdddabaddcaaabbaaabaababbddcdcdbbcbddcacdbcaddbddccacadcdadcbdbaabccdbaa
+bcacdcbbadbccadcbdacdbabbbaaadddcdbcccbddbbbaccacddbcaaadcbcbbccadcabdddcbdddcdc
+baaabbabadccccccdddbdbdbbdbbacbccbdaabbddc
+dacdaaabcdbddbbaccccaadbdaaccdcabaaaaaacabdbbacbadcbdcac
+ddbdbdcbadaaacdbcdaacdbdadcbddabdccaaaaacdaddbdcbbabdbaa
+adcdccbabadbbabccccdcbddbbadadcacabcbcabccddcccdcdacbddcabccbcadddcddabbc
+dbbcbccaacaabddabdabdbadcaabadb
+dadabdbddbcdaddcddccccbcdbaaddd
+bbcdddbdaadaacaddacccadddaabcccdaabbccccbbaaddccacbcdddbdbaaaddbabdadddcdaabcaaca
+acbacababbadababbaddbcabddccdadabdcccbcbddbdacadccaccbdccadabbadbaaaacdbadbcddcacabdccbadbaadadccbcabdccbdcb
+accdcdcacbbbaddcadccacadaccadcdccccbadcbadbabdaddbdbaddacbbcdcbddb
+bcbacadaaacbabaabbcbdccddcadbadcaaabaacaabadccccbbdddbbddabdacddcbadaacadacaabccdbaccabdcaddbbbbcdaaaba
+caabdbdcccbabdbbbcadbcbabdbaaabacbbbbaaaccacaddadbadccacbddddcabbabadbcadaabcabbaaaddaabbbbcab
+acaccdcdcdadcbbbdcbddacdbadadbaacdbcaaccbbbabbddbccbabddaadbcbdbdcaaacdccacbbcdddbbbcdbacaddccdabdccbb
+cdbdbbaacaacacbbaabdcdcdbaddcbbdccbcdbabdbccbdcbabcadcbabcbbaabbdccacabcdbddddcbcbca
+acabacccdcbcacabcbdccacadacdcdcdcacddacaddacdabadaacddbaddaddbabbdbdbdcdcdbbdccbdcadbdaadcabaabbdbccccbacbaac
+ccbcbdcccccabbcbddabadaccdcadbadccccbbbcbccddadaccaddbaddbccccdd
+caaacdaddccdbcdbaabbbddcdddcacbcbdadcadcbcccaacbddcdaadbbcddbcdaccabdbabbdadcdacbbdcbabcbbbaadaadb
+caadccdadadcbacdacabacbcbaaaadbdcbadbdaabcadbbbacaacbbbacacdcbbdbdcbdaaccbacbcdadbadddbccacabcabdacddcb
+caabbdababbabddddcbdcddabdbcbbbaadcddbcbdacabcacccacdcaaaddbccdadddabccbcccadacdddbad
+cdddbadcabccdaaddbacbbbcabdacadacabaadbcacadabbdcb
+bacadddaddbddbddcccbbccdabccccbadddaabbbaccddbaabcacbabcdaba
+ddacbaadbbcaadbdcacdcadaccbadcbdabdbdadcbccaccbabdcdbd
+cbccabbbcdcdcccbcccadacdc
+daddadaadabdbbdbadbbdbadcacbaabbdcbdaabccbcdbdc
+bbcabacbcbadcdabbdbbadbddcacbbddddcbdaacabccbcadcbdbdcbcdacacaaabd
+bbdadcbdcddcbbdcddcaccdadbbbcbdaddbdadaccdbc
+dcbdccbddbadcdacadacbbddddcdaaabdbdddddaacaaabcbdccdcdbadbaacbdddabbdddcadabdcdddcadddbabacdcabdbbccaddbbbbd
+adbabcdadbabdcacbbdddbcdcddcadbabbaccdbaacbdbaccccaacdbdcbcdacdacdabaccddaaaababbcbdacabcdbabdd
+bbbbbcabdadaba
+bdbbdacaabdbdcddcadabdacbccdbdaacacbdacadcbdddadbacd
+ddbbcaccac
+cddacbcbcdbdcdcacdadcabacddbaaccdbbbbaccbabdacbcaccdbdcadddadbadccbdacbbaabddacbabadcbbbbbbcaddbbaacbaada
+accddcacbbacbdddaadccaadccbbbdccdadcccaccbadbaadaccaacacdddbdcbaaaabbdddccaccabdbbbdbaacdccdccaadaadca
+acddcaabadbdaaacbacdb
+dccaddcacdabddbadcdbbdcdaddaabccdabadabbaadacabadbabcbcacdddcccbbbcaaa
+bbabbdcaabbbbdaacdacbdbdbadbdccabbaaacaacbacbcbdbbabcdcbbbbabacbddadbaadadc
+adaccccacdacddbb
+ccdbacbbbdcbcacbdaabbdbaccaddbdcddcbcdadaadabcdbbccabddaababcbabbcdbdccdbabc
+abbcabdcbaabaadcbaadaddbcdbabcbcbabdccaaadaaadcbbcadacaddbdcaabbcbdaadaacbccaadccbcc
+ddbdccbddabccdabcbcdbcbabdadcddcbbcbacaaaccacdaddcbdacbbbaaddcadaccdbadbbbcadbadcaddb
+abccadcdbbdcd
+bdabbddabacaadadcdaaddadaaacaadcbdcddddaaaadcdccddbcddbdadadacbacdcbdbaabcdaddabacadbdcbcacbbdcdddcdbbaab
+cbadaaabdbacca
+bcadcaaddbcddddadbcadbaaaaddcbdaddcdbaacbadbcabaababdbdabaacadddbabbcccdbabbabdacddaababbabbdcdbd
+cbcaacaadacaccdcdcdbdbbbcdabdcdadddabccbadbcaacbcdacaababcbdab
+daccdcaabbcddaaddd
+ddaddabbbadbbddcbccbababccdabcbcadcdcdcdacacbbbcbddccdbacdbddbdbcabcd
+dcabababbabbbbdcaddacdcadbbdaaacdbddbbaccacbbc
+bbcbdddbabaabddddddcddcbdaabcddadcadcabcabacaddbbdda
+dabbccdcdcacdaabdddbaadbdcaadddcaaaadbdc
+bbbacdbdcbdadcdbddbcbbbbbbdbbaacadcbadcccaddcdddcabb
+caccabaacabdcabdddaccacbdaccbbbbbdccdbcaabdaaccdadabdabdabadacddcadaabbbdbabaaca
+dcbdaacbaaadcdbbddabddcbccabcaddaacaaadabccb
+dbbddccccdbadabbcaacbdcadcbbbaaaddbbabacdbadcbbdbcddcccbbdabaaadccccbbddddbdaabdbbacccbacdddddabcbcbd
+abdbbdbccbbcbbbc
+bcdcbdbbdcddadadbdddadaaccabaccbbaabbdbdbaddaad
+baabccbdcdbbdadddbdabdbadbbbdcab
+bbacbabdcddbccbdabddccccabbbccacddcddcacbbbdbcbabbadb
+aaadacbbdcabbcbdcaabbddbcacd
+dccdddcdaaaddccdacddaccaa
+bcdabccdcdaabcdcdabcdcbcddbbbdaccdaabdacd
+accdcdbabbcabdbbdddbbacdcbdccbbbdbcccddaabcddcabcdccabbaacbaacaaadbcbbddbcbbabaadcddbacdaccdbbba
+ccbacabccdaaadcaaaddbcbbdbadcbbcababbcabdbdcdacbbcbdbbcbddaaddcac
+cbaaddbcacacdbdbabcbcdbbcddabaabb
+dadacbdcaaaabdacdbdddacccadadbaabdcacdbbbcdadaaadcacbaabacd
+bddbcadaabbcbbccadcaacddbddcddb
+ddadbadcaddaacbdcadbdcbabdadbdaaccacbbcaabdaccaccdbdbacbaabcdbacbadcccbaaccdb
+acacababbcacdcabcaaaabdabbdbcaabdbdcadacdadbbbcabcdbbcbabdccbcacddccddddadadcbb
+cdacbddddbbcbdcddccbcbcabccaadbdbacaabcdaaaddcacdccbdba
+caddddbcadbcadbcdabcddbcbcdddadbadabcaacabcabddabbaabcdccddaaadbadbacbcdcccbaabbddccaacacadbbdacbadccacaca
+abcdbcccdcbddabcdcdbabbddacdacdccdabaddbbbcdacdd
+cdcabddbcbbbbbccdcccaacdcbdccbabddbacdaadacdd
+cbbcaadcbcabdcaddbcccbadbaaccdacdabdbdbcaabadbbcabddbdadcbdcabaddacbbcdbbdccdadbbadaddbbdcacaddaddcdbd
+abcccddcbcbadbdbbacdbcbddcdbccddabdbcdabbcabacacaacabadbabbabaacddccbbddacabbb
+ddacabbbcacabbcaabbddabbaba
+ddaddcbddabaaaadbbabdbbabacadabbcbccdabcccbcabddbcaabcbdadbdaccbacddbbacaabaacadaadbaabbbadcabddbaacadbddbb
+caccbaabacdcbbacdcccccaacbacabcadabcccddcbbaaaddabbbddcacbccbddbcaacdbdcaabbaaabaccacd
+dbcbacbbcbaadacaadadcccadbcbcccbbadbbbbbadbaabcddbbddbdddab
+bccbddcadacadcbadbaaabdbccdccddccbadcbdcddaacacccccaaddbaacbcbdcaccbcaadabcdadbacaacbdabcabdddabdcbd
+cbbccccbbaacbdcaba
+abbdbbbdaccbdbdbbabacacaababcbdbabadccdabbdcdbabdbaacacaddaacdacbbccbabbcdd
+bbdabccbaddbbacaadaadabadbaccddbabdbdacccdddbaacacbcaddbacadc
+ddcbadabaabdaadacdaccbbcbdadaabbdbddacbbcbabdacacbdbabadccdabcbddbabbcadccaccc
+dbaddccccbdbacdbaccccaccbaccaccaccadbacbcdccaaadbccaddbcbbbddcbacbcddabdccadcbabaaadadbaccdcadaaccdadaabdbb
+dbabaacadaabbcccddddbcbcdbacdddcbcbbbccbababbabaabdabbadddba
+bdbdbbcbbcdbdbbccabbbdcbdbbabaabaacdbdca
+bbacbcacaaccbcbcdbdbbcbaacadddcbaaddadbbbaddbdadaadbacddadacc
+abbdcdcdddbcadddccd
+dcbbcdaabbbddcddaadbacdddddbdcaccabddadccdbcabccbabbcbadacccdaadadc
+cdaaacdaccbabababaacbaddccaabdbaadbcbbcaaacabadbdcabdbcccabdacbcaaddbddb
+dccadbddcbaabbccbbcdbbaaadbdbaacbdbaba
+bdcdaddaaccbbbdddcaadcabcbabbcbaddbdccacaccbd
+cbbdcdbaabadbacbcccbccaaabacdabbdcaccacadbcbabddcbabadaaddabaadbacacbddbcdbcdcadbdbababbaacbac
+adcddbadddacccddadcbacbbcddccdcadbbcbacaabddbcbbcdcdabaadbcaddcdabcbbacbcbdbabbbdbbdadbdaddbdbbca
+dbbacabbbbcacdaadbadbdccbbcaaaadbaddbaddcdaabddccdbaccdbadacacbdabbcddbabbcadcdbccdbacadbdccbdacbddbcbad
+bbbcdacdabdbcdbabbccdbdaaaaadcbdabcdadbbbd
+babcccaaccbcdcbbbacaabcccbbaabbcacaaaddcabadacddaa
+dcabbbccaabaadcacbcbccaabaacdbddacdbabdaaaddcccddaccdbadbcabcdbbbdbdaaadacbdccacbddccddacbbcadccabadbdc
+ccbcadbabdbbddcdacbbbaabacdaddddacdcacdcbbbcdc
+cdaacacdcbadbbaccaabbdbacadcccaaab
+bcacdacabbbdddbccbcdcccdad
+ddaaddbbdabaabadcaacbcbacbdbadcacadbabcdc
+cdaaddcdbbcacaadaacacbdacabccbacd
+adbcbcaacaccbbdcdabddaaabdbdbdbbccadbabdcdcccdcbbbbaacabaddacbbacdc
+bdbbaaacbccdaddbbccbbbbaddbccdaacbabbcccdabccdbbbbdacaddababaddcdaadbcdaadaddcbba
+abdcccbbbbbddcbbdbddacbddbacadddaadadabbaadacadbcb
+cacbaccabbcacdcdbddacabddcaadcabbbadbdabaccaaddabdcabdddaaccbbaadcbcabbcbddbcaaddacbdaaabdd
+dbcaadaacdacdacdbddcdcdcdccadcbbbdbb
+bdabccbacdbabbaccacaddcadcaadcadadaddbbbccbadddcacbdbcdcdacbbadb
+ddbaaaacbccaabaaccacbcabaddbcbdbaccdcddddaaabdcbdc
+ddbbacdbddbabdcadabcbdbadda
+bbdbdddcbddaadadbccbaaadbbacbdcaccccddcdbcdcadadbcbdbcbacdabcaddabccbbdddcbdcbbddbcacccadacdbcddbc
+cdacddddcacbdccbcacca
+adbddbacdbcddbacbbadbbcddbadcbdccbccbcaaadaacbdadbacbddcabdbcbcbddcabbcbccdddacbcbdaabdcacdbbca
+aacaabcbacbbaabdacaadcbbbbdbdccdbbdcdadaaddbbcabcccbaacdbdacdabdadacdccbdcacdddcccbbcabd
+cabbadbddadabadbadab
+dabcdbbcdbaacdabbcaaccaaddbdcabacdcaddddadaccaacaabcabbacbbdababadcccbbdbbbdcbcbcbaacdacaaadcab
+cbadcaddbbccbbdcdcacbbdabcdbaacdbacbdaacddcdabdcbcdddaaabcaaabcbbcababaddddabdcdcbda
+dadcbcabaacad
+ccabddbbccdbdccbbccdabbabbaccaaaaacadcbddcbcbcbacdadacdddb
+dadaccccdbccdadbcbbcaadbbacbcccabbabdcabaaaabbdbccadcabccacbbac
+bcbdddbaaddadaadcbccdadccccaadadbbdcadbdaccaabaabcadaaadcbddccbdddbacaaccdbdcdcdbbdacddacadddbdccbdddbcbb
+dbdbccbbadadbcabdcaaadacdaabaccdbbccb
+baadbaacbbdbcaaccddbcbabccddabadacddabbadbbabdbdcdbdcdd
+badadabddbacacbbbbccaccdbcdccdcbacbdaccacddcbcbdadbbbabaccacdacdaacabcabadbbaadcbcaabddd
+bbadbcabcddcdcdccccbc
+bbadabccdadcdbacabbddbcdddcbcdbdacabbdbaaabbbcbdbdccbdbdcbdcbdcbaaadcbcbacababbcbcaaababdcccd
+adcabbdcabacddbbdaabccbabbdacaadcbbdc
+ddabcadcaacaabbdcccddacdddabbbdcaadacdbbdccaacadcbbbadcbcdbacacaccccaabddc
+bcabadcccbcbbdbaabddbcabd
+acaddbdcbbabbabdabadcdacddcbaacdabccaadbcacabddbdbcaacccdacadbddbbcbacadbadacbbdbaabccdbcaccadbabcad
+cbcbcbddbbacdabdccadbbddbccbaabdbbdcdcbbabbacdbcdadcccbbbabaccacccccdaddabadbbcbaaacdcca
+abdcbdccbdbbdddabadbdddbacddccddbdcbbaaabccdacddcdbdaddbccccbdbcacdabbca
+aaddabdcddcaccaaadcdabccbbdb
+caadbdabbcccabadacbcccdccccdacdaacaacddbddcacabadbadcccaaccaacaaadcdbacaddbdcacbdddaabbdc
+dbbbdbdcba
+acdddbcddbbbccccbddcdcbaadcbcaadcdcdcbbcaadaddbcbacadddccdacaabccacdabcaadcccddbcbdbdacbbbdabcbccbcbdccdba
+dcabbcaadccdaddcccdbacabbaabcdaacbabbcbaaccdadcdbacc
+dcaaaddbaadbbcbbbbbbbbaccabddcbcdddbaaababbabbbaadddbbcdddacdcccabdbbccadacbdbbbdabbb
+cdaddcdccadccbdddbcc
+abdccabcbdacaddbabdbdadcbcdacaaccdaddbbcbbdbcddcdbcddabdababcadbdaccddabacdddcb
+adbbadaccbcabbdabcbbcacbbaccbdcaddabcaadddbbbbadbcaadcadbcdbbadddcbdaadbcaccddacc
+bdacdacbbacabdddddbcddbdaccdcbbbbdadadbcdcbbdabadabcbaacbddcadbcdadbacdbdcdabcdbadbaacd
+bbcdbabdadccdbbccabddaacdbddabbababcbabcdddacabddbdaaabcadabccbcb
+abcdcbdcaccccadbbdbdaaaaacaacbaccbbabbbbdcdbddcdaadacbcddcdbaccdbddcbaadbbcbacdbbabaddcdcccbb
+acaadbbacbbcadbcbdbdcbdadcbbaadcdbaaabdacdcadaabadddadaadacbbbaccdcadddbaddcdaabdcddbbbddabacbbdcdbbabc
+abbcbbabcddbadabdccdabcbbdaabbcccbbbbbccdcaddbdaaababdbadbcacaadcaaddac
+cbbbabadaccabccccabbacaaacababcbacacbbbcadcdcbbbbadaabaabacbdcaadbcbbcbbabddaaaccbccaccbbbd
+dbcdcabdbbdddcabacbccdaaddabccdbadaadacabddcbdcadaabaaa
+cbaadddbdddaacacdcadcdbcccdaabacddabdaadadbbbabcacaacbcddaaad
+ddbdccbdaccdbcabadcdbbbdacdbabbaabbcdcbccbdddcdacdcacbadccaccdcdcbcdbdadcacaddadadaba
+dbdbaddbccdbdadcaddccabbcdaacaadbdcbcaaddabcaabdcdabbacdbcddcadbdbdabdbdcdacabadaabddcbbaabdccba
+bbdcadcbcadbbdab
+dabbaabbccabccaacadbaccb
+ddbbcddbabbabcacadabdbcbdbaddbbdbabbdadacdbaadaccbccccbbdbbbdcabbcdacdabdccdb
+dbaccabdabbdbcbddaabdddaabcbbabcbbacdadabcccdbbc
+bdabbbbcaacdbcadbcdbdbcaaaacabbcbcbcadaddbcbaadabcdddaabaacdbcbbbabdbcbadcabcacbbdcbdbbcaacaddc
+babcaaaaaaccdaabdaaddcdddcbbbbadabcac
+dabbbdacddaaabbbabddddadcbddcbdaacccacacaacadabbabbccdccadccdaaccbcdcbdadcdccddacaaacadaacdcbaaacddddddbb
+bcbbddccbdacddabdaacbadcbdaaadddcbbdccadbabccdbbaabbbacdbcacacbdabaadaacccabbbdacbddbbabacdad
+acbbcabcdacadbbcd
+cadaabbcbbbcaadccbabdcdbaacababccccbdbdcaaaccbbcaaacadcadbddcabadddddacdbacccbcdbbaabdbdcadbdcdadccbbbaadcacb
+dcacdccddcaddbcdbbbbabcdadabbdaddcaccaccabcbadbcdbddcdbcaabbdbaabcacabdbbbacbdaacaadccbbbbdaadabcdcbadb
+cbdccabaabadccdbddcbdbbabbdcbaacaadacbadbaccbaccddccdacccdaaccbbbbabaaccbdddddbbaadabbcdadcaa
+cdbbddcabbbadcaabbaddccdbacbccabbbbadddaddaaaabdbdbbbcbccadcbbaccaccaaaabdcbd
+dcdcbddccbddbdbddcdadccddbababbdcdbbbbdabaadba
+abbccabcacaaccabdbbcbadbdcdacacddddcabdbcdadacbdbadcbccbaabcdbcaaacabddcdbcacadcbbcaaddddda
+bacabdcadbaccbadcabdacdabdbdaadccbababddbddabcdbcadacaccdaa
+cabdacabcbdddaabacddadbdcacabacddcbadcdbcbddcdcccdcbadbaccacbaccadbaacccdcaccbcdcadac
+baccbbaadcdabcbddbacdcb
+bbddabcacdabcbaaacaccbdaaaadaccbaddcddabbadccaadabcdaaddccaaabbadabbadacddcc
+dacbcbacbbbb
+ddaddcabccbcabbabadcacddb
+cdbbdbacdbbcbbccdaddbaadacabdcacdcbbdcdacbaabcaccaabcdbcbbaaaddca
+ccaadcaaaaadbbccdaccbabadadbbdcaaacdadbacbbccaadabbbabbaabdccadbadccabbbcbdadabcaabaddbbdcacaabcacadb
+ababaadaaa
+bccbabadabbbcddacadcbcbcdaddcbaaadaccdddadbbbdddacdbbdbcaaaccdbcbdcadaddabcddcbbdcdb
+bbdcdabaaddacacabaacbdbdddbcbcdcdbcabcdddddbdaaacbbdddccacbbbdcbcdbbbadcdccddcbaac
+acdaaabbbcabcddcdddbcbcbbacacdbccdbbdbcdbdcdadddcbbcaddcdacdaaddadbaccaaabadcdcb
+daaadbadcacdbbbdccbaaadddbadbbdabdcbcddcdbbadbdbbcabcacbadccbdabbdabbacbcdcbdcbadddccbaadcabbb
+bcacdddacbdbcadcabdadbdacbcababbccdcbdaaaacbc
+adaabbbaddcbddadabaaadbaabdcbdacdcabbccaddcadbbc
+aababcbbcbbccbcdaaaccdcabdbddaacdbbbdcacbccabbacdbaaaadacd
+ddaacccbdacbbbabadcabddbacbbabccccdb
+ccccaabbbbdacdcbcabcddcaddccccbcbdccbabbacdaddcdbccdbbbdcdacbdabaddacccbdcbadbab
+bbcbabdddcdbadddccbdcadccaabadcdbdcdabcabcdcccaacacc
+bbadcbdbdacdcbcccdaccddadadcbdbdddccaabcddaaabbaabacbbaadcdacbaaaacbaddbaacdabcbdbdccdcacac
+abbacdccdbccbaddbdadddbbcacccaaaaabbcabaabbdcdabccc
+aabbbabababcabddddbadbacdbdbacccaadacaccbccaacccadbcddbabcacbcbbaccab
+cbaacbccaccbddccbbcbadbbb
+ddddaacddbcaaacbddcaddcbdbccddcca
+ccaddbdbbbcadaccabdccaaacacddaabcdadaabaddbdccbabacaabdabaabaddbdbccababcbdb
+aabbdcadaaacbdbbdddcadadadcbdddcdccaababadddcbaacbbbadcdbb
+dcdbdcdcacbbacddadbabdbcbcacdcbbddccbbabaadbdcbcddabc
+cbcddbadabcdbadadccccaadddadcdbbbbcbdbbaabbdcadccdddcdccabcdbdcddbaadbbbabbbdbadbc
+bacdadddcdaacdbcd
+ddcabbdabdbabdabbdacbddbbddadaacbcbccaabacccdbcdcbcbacbddaabbdacdddcabbaccccaddbaaabcaabcacddcc
+dacccddbaccaddadcdccccabcdbcac
+dabacbbbcdaadadddbabadddccacbadacbbcccabbaaadbdbbdbaccbdadabdddcccaababaddaaaadababacddbaadcbaaaacbcabca
+babaadcbac
+ccaaccbbabbdcbacacbcbdccccdddbabacdcbddcdacadabcccbdca
+dbcadadbcbdaadbcbccddacaaadccddbccbac
+ddacccbbadcdbaccacadccbbbbcadaabdaabacdddddbbddc
+ccddddcacbbbaabcdaabacbccbdcabcbcccbcccaabbadadccbccddcdcacadaccd
+cdbdbbbbaadcbbbbacdccacadbabbadadaba
+dadccbccadbdbcdcbbcdaadcadcdcdbbcaabbbdabccbcddabbdccadbabcdb
+bccbdccacbdbdcaacadbacabcbbbcdcccabddaacb
+dbaaacddddbababdbadaaccbbcbdbbbddbcadbadbbaabdbcbcaacddaccdacbdaaacdbddada
+dcaddbbcbdabdcbcdbabadbbdaaabacaadd
+adcadadcbdadaaadbbdbdcadbbbabadccadcadabccdabcbcdbcbcdcaabbbcdbacccddacdddccddaaacaabbbddcadcd
+abaadaadbcdbcbaccbccabcadabddbbacaacadabddbbcacb
+aabacacadddbadabcabccacdcdacababcdddbcabdbadcbddbcdbccdbddaccbdbbaabccbcbabcacbbccbbbcaabaabbcbaaa
+acdcbadcad
+ddbababddbabacddadcdbadddcaaadcbccbcabcadcacddaabbbabdbccccaabbdcbcbcbbcbdbaccab
+bbbdbddbacbbbbdbcdbacbdcbdbabbddddccdcadcbcbbdddddacdcddbbcccabac
+dccbdaabaccccbbdacbbcdcadbdcddaaccaabacdccacadbaddbcccccccbdcbbcbbacb
+dcdbcdbbdadcbcabdccbbabbcabdcbbcdcaccbddcaabdcdabccbdccddaddbbcddbbbcdabbbbb
+acdcdaabdaddbcabaddbaacdabcddbbccddbcdbaaaddcddcbcaadcccadadaccadabdcddaacbabbadabdbdbccad
+dddbaacddcbdaabdcaddadcddbaddaacdaab
+bbbdbabacacbcbaddcdcbcddcccbdcdddddbcaadcbdbcbadbcbcadbdbbaddbbcbbcadabcadbaaaadccdacacdddcccaacccccd
+abddddaddcdabdcbbcccbacaadbb
+bcdbabddbcbadbddcddbcdaaaaacbbbdcccbbddadadabbbadaccabdcbc
+bbdbaddaabbbccacddbadbdaaddbddbcaacccaabadbaccadcdcbbcbadaaaddcbdabcaccccdacadcbdcac
+bbbcdccaccdbbaaddcdcccdbbcbbbacccdcbdbd
+abccaadbccbbccbcbcadccdaaddaacbbbddcacbcccadadbcdcbdccdbadacbbcbacadcdacacbdabdcadcabbadabcdaacdcdabadda
+cdccdcaaaccbacbbacdccabdccbadbdbdcaabacbcbcadbadccaaaccacab
+aacdbbbdbdbcbbaadbddcadbdddbdddbbb
+abccbdbbacbdbbcabcdbbb
+ababdadaacbdacbbbcabccbcadbbbcbaacbaacacbbdbcaddcddbcdbadbddddbcabcacbbbcacddaaaadacaaabaa
+caabbcbbcaadaabcccdcabddadcccaadcadcbdddcbcdcdbccccdccbcdaccdaaccbacacdcbbbabdcaadadabdddcccbcbcda
+ccbabcddcccdbbdbacadbaaabccabcadacddadbbdbaaccacbbdcddddcaddaaddbbaababaadcbacd
+dcddcaaabdddadadccddcabcacd
+dadbddacaaacacd
+badbcbabaddccdbbdbbbbbaadadaddadabbbdcdadab
+aabddcbbacaaacbdcaacadddacbcbdadddccbaabcbcaaabddaacbcadca
+bdbaaacaadaaadaddbbadacacbccabcdcdaccaacddbdbadcaabddddadadcb
+abaabcdbdddabccbdabcacdbadcbdbdacbabcabbbbcddababcabbabdccbbdcddacaadcdabdcccbdcbba
+dbbaccdcdcbcdcaddaacdcbbc
+cbddbccbdacbbdbccadbddbbbabdcadaaabdbdddbdabaacbabbbcbbbaccbabbbddcacbbdcacbbbadabbbadadcddbcab
+dbaccacbacbcdccbcdcabdaabccdcccdcbcaaaabcd
+abaacbabbcacbbdcbbbacbaddadbddacbacdcaacbaaaabdaaddbabcbccbdacabccbbadcaabdbbaccdabcbdcbbadbabaacacaabcdb
+dccadbbbbdabdbbcac
+cadcdccabdcdc
+ccdadaadacdadbdbadbaba
+dbcdaacdacabbbcdbaacaaccddcdbccadcbaacabccbdbdbdbb
+dbadabbdcdddadbbbdacdbadbaaacdbacaccaccabcbaaaccdddcabadbabaabacccdbbdadabdccbbdcccbabadaaaddba
+cdadcdaabccbcdadadbdcdaccbabacbdbabcbbbbbbcbdbaabbaccbcbcaabacdaadcccdacaddbdcdacaacddbaabdcacddabddccadaaca
+bcaccdacbdbbaaadbcdbaaddcbcbbcadbabaddbcbaccbbadcaccbddba
+dbcbdadcdbabdddcdadcaccdcdaadbacabbacccddbdbaaaadadccaadaabaacdcbcccadbdccaaabadacbbacbdacddacbcbbd
+ababdbcdcaccdabbcbbcbbdbcbdcabadaadacbcbabbcbbdadbcadccccabbbccda
+adddacbccabcaacaacdbdbddaadaaadccdacbdcdbdaabdaddccdabcacabdcdbcacbddadbabddababcdbaaaaaadbadbbccbbdb
+babcadbcdccaacadbcbcadbdaacbbbaddccaacbccbdb
+bcadbcabadcdcdbabbbbabaddabddbcdbbdcabdddaabbbbd
+abdbbbaccaccbabcbcbcccdddcbcdc
+adbccddcbacabbabcacccac
+aaadbcaddbdabbccbabbbadbabcbdbdacbdcdb
+abbaddddacdbdbdbdbbdacdcaaaddbbcddadbdbcbbcdbddcadbdddccbcbbdabcdddcbbccacaaddcbaddbddbbbcbbccbcaaacaccba
+cacdabbbdddadcaabadabdaaaaadbaddbaddbabadacbbdadacbbadcadbbbdcdbbbadabcadccb
+ddbddbbcbbbbccbaddbacbcbbbdbbcbbbdbdaabcdacddcaaadbcadcacdbcbdccabacdcadaaadccbcaccbcaaaadcadadddd
+ddabcacaabb
+cddccdccddccaacaacbabbaaccaabbdcdacaccbaccacbaabaabdcccbcccaddbbcccabbcdcbdabc
+bccbccbbadc
+acbaaadccbcabacdcbcacadcbacdcdaabbdbdcabdadbdadbabacbbdadbccabbbaaaccadaddbdccbbcaccd
+acbadadabadddbcdccdbbaadcb
+adcddddcccbcdabcdadddccaabacbcbdaacbdaaaacaadcccdabcadaccddbbbabbcdabadbadaddbbdbbddbdcacaadcacadadaacabaa
+255 55
+bbaabababaababbababbabbbbbaabaabbbbababaaaaaabaabbbbbaabababbaaaaaba
+aabaabbababbabbbabbabbabababaabbbaaab
+aaabaaabababbbbaaaaaabbaababbbbaaaaaabbbbbaabbbabaabaa
+aaaaababaabaabbaabaababaabaaababbbbbaaabbaaaabbbabaaabbbaabaaaaabaabaaabbbaabaaaaabaaabab
+ababaabbbaabaabbabaabbbaaaaaaaaaaabbaaaabbaababbbaabbabbabaabb
+bbbaabbabababaabbaabbabbbabaaabbaabb
+aabbabbbababaaabaaaaaaabbaabaabbaaaabbaabbbaaabbaabbbabbabbaaabbabaaabaaaaabaaababbbaababbbbbaaa
+abbbaabaabbbbbbbabbbababbababaababbaaabbbaaaabbbbbbbbbbbaabbabbbbaabaabaaabbbabbbbbabbabbbaababbaa
+bbbaabbababaabbaaaaababbaabbabaaabbbb
+bbabaababaabaabbabbaaaaaaabbaaabbabbabbabaaaabbbaabaaaba
+bbbbbbbbabaaababbbbababbabaabb
+aaaabbbaabbaabbabaaaaaaa
+bbaaaabaaaaaaabbbababaaaabbbaababaaabbaaaaaabbaababaabbaabaabbbbbbbabaaabbbbbbaababbabbbaaab
+abbbaababbababaabba
+baaabbbabaaaaabbbabababbbbbbabaaab
+bbaabbbaaaabbabababbbbaabbbaaaabaaababa
+bbbbbabaaaababaabbbbabba
+abababbaabaaaabaaaabaababbbabaababbaabbabbbbbaaababbabaaabbbbabbabbabbbabbaaaabbaabaabaaabab
+abaabbbbabaaabaaabbabaabaaabbbbbabbabbabababbbababaabbbbbabbaaaabbbbaabbbbaaabaababbbbabbbabbaa
+bbbabbabaaaaabbbbbbaaaababbbaaaabbbabaaaaaabababbbabaababaabababaaabbabaaabbbabbbababbabaaababbbaaaabab
+abbbbababbbaabbbb
+babaabbbaabbbbababaabbbabbaaaaaababbbbabababaabaabbabbaaabbbabbaabbabbbbbabbbabbbaababbbbbbabbaabbabbbaab
+bbabbbbababaaababbabbbaabaabbbbbaaaabbbaaaaabaababbbbbbaababbbbabbbaaaaabbaaabaabbaaaaba
+bbababbbabbabaabbbaaabaabbbabaabbbaabbaabaaababababbbababaabbaaabbaaa
+ababbabaaaabbbbabbabaaababbaaaabbaaaabbabbaaaaaaabbbaaabbbbaaabababbababbaabbbbababaaabbababaababaaaaaba
+aabbbbbbabbabbbbbaababaabbbaaabaabaaaabbabaaaaaaabaabbbbbabbbb
+bbaaabbbbaaaaaabbbbbaaaabbaabababaaabaabbababbaabaabbabbab
+aaaaabbaaabbbbbbababbaaaabbbabbababaabaaaaaaabbbbaabbbb
+baabbaaaaaaaaaabaabaabbabbaabbbbabbbbbabbabaabbbbbaabaabaaaaaaa
+abbbbaaaaabbaabaaaababbbababaabbababbbbbbbabbaaaababbabaabbbabbabbbbababababbaaaaabaab
+bbbbbabbabaaaaababaabbbabaaba
+abbaabaaaabbbbaaababbaaaabbaabaaabaababa
+abaaaabaabbbaabbbaabbbabaabbbbababababaaa
+abaaaaabaaaabbabbbaaabaabbbaabaababaababbabaabbbbaabbbbbbbbbabbbbbaaab
+bbbbbbaaaaaabbbbaababbabaababababababa
+aaaabbaabaabbabbbaababbaaabababbbabaaaabbaaaabbbbbabaabbbaaababbaaabbabbabbbbaaaaaabaab
+aababbaabababbb
+aaaaaabbbbaaaabaabbbaaabbbbaabbba
+abbbbbbaabbbbbaabbabbbbbaabbaaaaabaabbbbbaaa
+bbabbaaaabbbabaabbabaaababbabaabbabaabbbbbaaabbaabaaa
+babbaabbaabbababbababab
+abaaabaaabbbababaaaaabababaaabbababbbabababaaaabbbbbababaababab
+abaaababaaabaabbbabbaaabbbbaaabbbbbbaabaaaaabbaaabbba
+aabbbaabbabbabbbbabbaabbaabbbaabababaaaaabaaababbabbba
+ababbbaaaaaaaaaabbbbabbaaabbaaabaababbbabbaabbbbbbbbbbaabaaabbabbaaaaaabb
+aabbbaababaababbbaaabbaabaabbababbababbbabbabbaabababbbbbbabbbbbaababbabbbbabbbbabaaabb
+baabaababbbabbbabaabaaaaabababbbabaabaabbabaaabaabbbbbaaababbbabbaaaababaaababbaabaabaaba
+ababbaabbbaaaaaaabbabbbbbbaaababbabbabbbbbaaabaababbbbbabbbbbbbaaaabaaaabbaaababbbabaabababa
+aaaababbababaaaabbbabababaabaaabbaabababababbaaabaaaaabbbaaabbabbbbabbabbb
+abbaababaab
+bbababaababbaaaabbbbabaaaaaababaaaaaba
+bbbaaaabbabbbabbaabaabbbbbaabbaaabbaababbbbaabbababbb
+bbaaabbaabaaababaaaabaaababaabbabbbabbabbaababbaaaaaaaabbabaabaababbbbaabbababaabaabbbbabbabbaabaaaabaabbab
+aaabbbbbaaaa
+babbababbabbaaaababbaababaabbaaabbaabbbbaaaaaaabbababaaaabbbaaaabbaabbaabaabbbababbababaabbbabbababaaaabba
+abbbaababbabbbaaabaababbbbbbbabbbaabbaabbbbabbbbaaabbaaababaaaabababbabbabaabababaabbb
+abbbbbbbaabbaaabbabaabbbaaaabaaabaababaaaaabbbbbbabbabbbaaaababaaaaaaabbaaaabaabaa
+babaabbbabaaababbabbabbbaabbaaababbbaaaaabbaabbbaaaaabbaabababba
+aaaaababbaaaabbbbbbabbababababbaaaaabbaababbbaaabaaabbbbaababbbbbbababaabaabaaaaabababaa
+bbaaaabaabaaaaabaabbabaaababbabbababaaabaaaba
+bbabbbbbabbaaababbabbbababbbbaa
+abaaababbaababaaaabbabbbbabbbaba
+bababbabbabaababaabbbbaaababbbbabaaaaaaaaaababaaabbaaaaaaaababbabbabaaa
+baaabbbbbaabbaababbbaaabaabbaaaabaaaaaabababbabbaaabbaaaaaaaaaaabbbbbabbbbabbbbbaaabbabaabbaabaab
+abaabbbbbbbbbaabbbababaabbbbabaabbbbabbba
+aaabbabaaaabbbbbabaababaaabbbaabbab
+aabaabbbbabbaabbabbbababaaaababbaabaaaaaabaaababaaaabbbaabaaaaaaaabbabbbbbabbbaababaaaaabbbbbaa
+bababbaaababbabaabbaabbbabbbbabbabbbaabababaaabaabaabbababbbbab
+babbabbbbaabbbabbbaaaaababaabbbaaaaabaabbaabbbbbbbbabbaabababbaaabaaaaabaaaaaa
+aaaaababbabbaaaabaabababbaabbbbaaaabbaaabbaabaabbaaaababbbabbbabbbaaabbbbbaabaababaabbbaaaabb
+bbbaababbaabbbaaaabababaababaaababbabbbbabaabbabbbbabaababbababbaababa
+bbbaaaaababababbaaabaabbaaabbaaaabababbbbabbabaabbaaaaaabbbabbabbbbabbbbabaaababbbabbaababbbbbbaaa
+abbbaaaababbbaaabbbaabbabbabb
+bbbbbabaaaabab
+baaaaabaaabba
+baaabbabbbbaaababbabbaaabaabbaabaaabb
+bbbbbbaaaaaabbababbabbbabbbbaabbbababaaabbaaaabbaaaaaababaabbbbbaabbabbbbabaaa
+baaaabbbbabababababbbaabbabaaaababaabaabbbbbababbabbbaababbbabbbabaaababbababaabbaabbaababa
+aabaaaabbbabbbabaaa
+baaaaabaaabaabbbabbbabaabaabbbabaaaabbbbbbbaababaaaaabbaabaababbbababaaaaabbbabaabaa
+aabbbbbaabbbaaababbbaaaabbbabaaaabaabaabaaaabababbbaabababbbaba
+abbabaaaabbbaaaabbabbbabaaaabababababbbabaaabaabbaaaaabbaaabbabbaabbbaaaabaabbabaaaaaabbbbababbaaaaba
+baaabbbabbaabbabbbabaaaaabbbbaabbbbaabaababaaabbaaabababbaaa
+bababaaabaabbbaaaaaabbabbb
+bbbbaabaaabbaaababbbabbbabbbababbbbbbbbbaaaaabbbbaaaaaaaabbaaabbbabaaabaabaa
+aababaaababaaabbabbababbabaaaababbbbababaaaaabaa
+abbaaabaaabbbbabababbbabbbaabbababbaabaabaaabbababbbbabbabbaaabaaabbbbabababbaabbbbabbaa
+baabaaaabaabbbaabaaaaaaaabaaabababbbababababbbbbbbab
+aabababbbbaaaabaaaabaaabaabbbababbababbabbabab
+baaabbaaaabaabaaabbbaa
+baabbabbaaaabbabababaaaaaabbbbbabbaabbbabbbbbbbaabbbaaabbbbbbbbbbaabbbbabbaababaaabaab
+aabbaabbaaabaabaaaaabaabbbaababaaaabaabbbbbbaabaaabbbbaaaabbbbababb
+aabaaabaabaabaabaaaabaababbbaaaababbbbbababaaaabaaabbaabbaabaaabaabb
+aabaaabaaaaaaababbabaabababaabaaabaabababbbbbbbbaabbabbbaabaabbabababbabaaabbbaaaaabaababaababbaabbbababab
+abbbbabbaabbabb
+aaabaaababaaaaabbbabbbbaaabbabbbaaaabbabababababbababbbaabbabbabaababbbababbaaaaaababaabbbbaabbbaaabbaabb
+bbaabbaaabbabaababbabababbbbabaaabbbbbbbbaab
+baaabaaababbabbaabaaabbabbbbabbbbbaababaababaaaababbabbbbbabaababaaabbaabab
+bbbbbabbbbabbbababababaabbbaabbbbaababaabaaababbaabbbabaaabaabaabaababaaabaaabbbbaabaaababaaabbabbaaaabaaabbb
+abaabbabababbaabbbaaabbbbaabbbaabaaaaabababaababbbbbbaaaaababbbabb
+aababababaabbbbabbaaaaabbbaabababbabbbaabaabbbbbbabbaaaaabbaba
+bbaabbbbabbabaaaabbbbbabbabaababbbbaabbbbbbaaaabbbababaabaabbbbabaaabaaaaabababaaabbbabbaaaaaaabbabbbaaaabba
+baaaaabaaaaaaaaabaabbababababbababbaabbaaabaabbabbabbabbaababbbaabbabbbaabaaaaabaabbbaaaaaabbbaabbabb
+baabbabbbbbabaaaaaabaabbaaaababbbbbababbbabbabababba
+ababbabbbbbaabaabbbaaaabaaabbababbabaabaaababaabaabaabbabbaabbbabbaabbbbbababaababaababbaab
+bbbbbbababbbbbabaababbaaaabbbabaabbaaaababbaababaaababbabbaaaabaabbbbaabbaaaa
+baaabbbaaaabbbbabaaaaabbaabababbabaaabbabbb
+bbaababaaaabaabaabbbbabbabaabbabbabbb
+baabbbbbbbbaababbbaabaabbbababaabbb
+bbbabaaaabaaaababbaababaabaabaabaababbaabaabbbbbabbbaabbaabbbbbbbaabab
+abbbbabaaabbbbaaabbbbbaaaaabbababbab
+abbbabaaabbaabba
+aaabaabbbbbababbba
+aabbaaabbaababbbbabababbbbbabbaabaabbababaaaaabbabaaabbaaababaaababaabaaabbbabbaaababababbbbbbabab
+baaaaaaaaaabababbbabaab
+baabbaabbbbabaaabaababbbabbbabbabbababaaaaaababaaaabaababaabbabbbaaaababaa
+bbabbbaaaabababaaaabababbbbbbaabbaaaabaababbabbaa
+aaabaaabbabbbbbbbbbabaabaabaabbaababaaaaaabbaaabaaaabbbababababaabb
+abaabaaaababbbbbaaaabababbbbbabaaaaabaaaababbbaaaab
+aabbbaaaaababbbabbbbabbabaabbabbaaabbbabbbbabbaabaabbaabaaabaabbbaaabbbbbbaabbbabaabbabbbbaaabab
+bbbbbaaaaaabaabbabbabaaabaabbbbbaaaabaabbabbabbbaababbbaabababbaabbbaaabaababababaabaaaabaabbaaabaab
+bbaabbbababaabbbaabaaabbbbbaaabaaababaaaababbabaaaabbbbaabaaaaaa
+aaabababbabaababbaabaaabbaaababbabbbbbbbabaababbbbaaabbabbababbabaabaab
+babbbbaaaabbabbbabbaaabaabbbaaabbbbbbbbababbaabbabbbbbaabbbabbaaaaaaaaabbbbbaababbbbabbaabbbaba
+bbaaaabaabaaaaabbbaabababbbababaabbbabaabbabbbbbbabaaabbbbabbbaabbaaa
+bbbbbbbaaabababab
+bababbaabababbbbabaababbaaaabbbbbba
+ababbaaaaaaaaababbaabbaaaaababaabbbabbabbaabbabaaabaaababbbaaaaaaaabaaabab
+aabaabbbbaaaabbaababbaaabbbbbbbabbbabaaaababababaaaabbbaaababbaabbaaabab
+abaaabbaabaaaabaabababbaabaabbbbbbbaaabbbabaabbbaabbabbaaabbabaaabababaabaabbbabaaabaabbbabaababaaa
+aabbaababaabbbbaaaababababbbabbabbababbbabbbbaabbaaabaababaaaaaa
+aaaabbabbbbaababaaaaabbaaaabaaabbbbbabbaaaababbbbbabbbbbbbb
+aabbbaaabbbaaababbabbbaabbabbabbaaa
+abababaababbaabbabaabbbabaaaabaabaaaaabaaaaababaabbabababaabaabaabbaabbaababaabbbaaba
+bbaababbbaaabbbaaaaaaaababbbabbaaabb
+babaababbbbabbbbbaaababbbbbbabbbaabbbaababbaaabbabbaaababbaabaabababaaabaaabbabbbbbaaabbababbbbbb
+abbbbabababbaabaaaabbbabbabbaaaabababbbbbaaaababbbbaa
+baaaabbbababbba
+aabbabaaaaababaabaabbaabaabaaabaaaababbababbabbbaaaabbabaabaaaaaaabbaabbbababaabaabbbabbaabbaababbaaab
+babaaababbbbaabbabbaaaabbabbaabbaaabbabbabaabbb
+bbabbbabaababbbaababbabbbbbbbbaabaabababaaabbbbabbbaaabbbbababab
+abaabbbaaaaaaaabbbbbbaabbbbaabaabbaaababaabbbbbababbabbbabbbbaabbabababbbbbababaaaabaabb
+ababaaaabaabbbbaaabbabbbbababbabbbaabbaabbbbbbbabbbbabbbabababbbaaaababbaaaaaaaaabaababbaaababaaaaabbbabaab
+abaabababbababbaabbbabaaaabbaabbaaaaaab
+baaababbbbbabaaabbaaaaaabbbbabbbaabbbabbbaaaababababbaaaaabbbbbbbabbbaaaabaabababbabbaaaaba
+abbaabbabbbaaabaabbabaababbaabbaaaabbbabbaabbaaaaabbabbabbbbbbabbbaaaababbbabbaabbbabbababa
+baababbbbaabbaaaabababbaaababbbabaababaabaaabaabbabababaaababaababbbbbababbaaabbb
+bbbaaaabbbbaabaaaabababbbabaabaababbaaaaabbbaabbbbabbbbaabbbbbbababbabbaaababbabbaaab
+baaaabaaaabb
+abbbbababbbbbababbbaaabaaaaaabababaaabaabaaaaabbabbbbbbbbbbbbbaaaaabbaaabaabaabbbabaaabbabbaaaabaaabaabbbaba
+bbababbabbabaaabbabbbbaabbbabaaaaabbbaabbababbaabbaaaabbbbbabbbaaabbabbbbaabbaabaabaaaaba
+abbaabaabbbabbabbababbbababba
+baababbaaabbabbbbbbbabbaaabbabbbbbaabaabbbababbaaabb
+baaabbaababbbbbbbbbbbaaababbabaabaaabaabaaabaaabbbbabaaabbababbaaababbbbbbaaababbbababbbaaa
+babaabaabbbbbaabaaaaaabbbaabbabbabbbbababbabbabbbaabaaaabbbbbabbbabaabaabababbabbabbbbababaa
+ababbbaabaabaabbbbbaaabbbaabbbabaaaaaababaaabbbbbabaabbabbabbababbbb
+aabaaaaaababbbbbbabaaabbbaaabaababbba
+abaabbbabaabaaaaaababaa
+ababbaabbbbaabbbbbbaabbbbab
+bbbaababbabaabbbaabbbaaaabababbaaaaabbabbaabababaaabbaaaabababbbbaaabaaba
+aaabbababbbbabbaaabbaaabaabaababbbabaabaabbaabbbbaaaababaabbbbbababbabaaabbbaaaabbaaaabbbbbbaabbabba
+bababbbbbbbbbb
+bbabaaabbaabababababbbababab
+aaaabaababbbaaaabaababaabaaababbbbbbbbabababbbbabaaabbabaaaaabbbaaaabbaaaabbbbab
+bbbaabbababaaabaabababbbbbbbababba
+bbbabbababbbabaabbabaaaaaaaabbaabbbabababbbababbabaabbabaaaabaaabaaba
+aabbbbbbbaabaaab
+abbaaaaaaabbbaabaaabaaabaabbbbbbbaabaababaaabbbaabababaaaababbabbbbaababbbbbbbbaaababaabbaababbbabaabbbbbbaaa
+aaababababbbaaaababaabbbbabbbaabbaaabbbaabaabaabbabbbaaaabaaabbbaaabbbbbbabbaaabaaabbaaaabbabbbabaabba
+abbbabbababababb
+abaaabbaaaabaabbbabbbabbbabbababbbbbabbbbbbbbbbabbabaaaabbabbababaaaabbbbbbbab
+baaababbababaaaaaabbabbabbbbababaaabbbaababb
+aaabbaabbabaababbaabbaabbbbbabaaabaababbababbabbabababbaabbbaaaaabababbabbbbbbbaababbabaaaabaaabbbabaababbaba
+aabaaabbbaabbaababbabbbaaabbaabaabaabbbaaaabbbababaaaaabaaaabb
+aabaaabbabababbabaabababbaaaaabbbbbbbbaab
+baaabaaaaabaabbababbbaaaababaa
+bbabbaabbbbbabab
+babbaaabbbabbbabaaababbaabbbabaababbabaabbbbaaaaabaaaaababbaabababbbaabbbbbaabbbbaabbabbababab
+baabaabbbbaabbbabaaaaabbbababbabbabaaabbbbabababaaa
+baabaaaaaabbbababbabbaabbbabbbbbaaabaabbaababbbabababbbaabaabbbbabaaabbabbbbabaaaaabba
+abaabbababbbaaabbbababbaaaaaabbbaabbaabaababaaaaaababbbbbbabbabbabaabaaaaaabaaaaabbbababbaaabaa
+aabbababaaaababbbabaaabaabaababaaabaaababbbaaaaaabbbbaaabaaaaaaaababaabaa
+aaaabbbbbabbabaaaabababaaabaaaaaabbbabaaaabaabaabbabababbabbabbaabbaabbaabbbbbbbbbabbbaabaaaabbbababbbba
+abbbbabbbbaaaaaaaaaababbbababbbbaaababbababbbbaaabbbabababbabbbbabab
+bbaababaabbbaaabbabbbabababaaabbababbaabababbaaaabbbaaabbbbabbbabbbbbaaaababaabbaabbbbbabbab
+aaabbbaababbaaabbaabbabbaaababbbbabbbbaabbbbaaabaaabbbaaabaabbbbbaabbaaabbabababbaababbbaaaaaabbbabbbbaa
+babaaaaabbaaaabaaabbababbbaabb
+aabaaabbabaabaaababaababbabbbaaabaaaaaaaabaabaabaaaabaaaaaabbabbabbaaaabbabaaaaaabbbabaabbabbaaaaabbabaa
+bbaabbbabbbbbaabaababaaabbaababbaaaaabbabbbababbaaabbababaababbbaaaabbbbabbaba
+baaaabaaabbbaabaabbbababbbaaabb
+bbabaaabaaaaaaabbaabbbbbbbbababaaabbbbbaaabbaaaaaaaabababbbbaaaabbbabaaabbababaabaaabaaaa
+bbbaababbbabbababbabbbbabaaaababbbaabbaabababaabaabbaabbbbabbbaabbbbabbaaabaabbabaaaaaaaabbbababbbaaaabbabba
+aaaaabbbbbbaaabbbaaabbaabbbbbabbaabaaabaaabaaaaabbbaaaaaababaabaabaabbabbababbbbbabab
+aaaaaaabbbababbababbababbbbaababbaaabaaababbababbbbbbabaaaaaabbbababababbbbabaabaaa
+bbabababbbbbbaabaaaabbbbbbababbbbbaaabaabbbabbbabbabbaaabbbabaabbbbbbaaaaaabbbbaaababaa
+abaaaaababbabbaabbbbbbbbaaabbabbbbbbaaababbaaabbabbbaaaaabbaabaabbaaabbbaabbbbabbaabbbbbbaaabbbbbab
+bbaaaaabaaabbababbaabbabbaabbaabbbabb
+aaabbbababaaabaabbbabbbabaaabbabbbababbbaaaaaaaaabbaabaabaabbbbabaabaaaabaabbbbaaabbbbaaabbbaabbaaa
+bbbaabaabbbbaababaababababbabbaaababbabbbaabbaaaabbbabbb
+baaaaabbbabaaaabbabbaabbbaabbaabaaabaaaaaabaaabaabbaabbbabbabaa
+abaaabbbbaaabaabbbbababbaaaaaabbbaabbbaabaaaaababaaba
+bababbabbabbbbbaaaababaaabbbbaabbabababbaababbbbbaaaabbaaaaabbbbb
+bbaaaabbbabbbaaabbabbbbbababbbbabababababaa
+bbbaaabbabbbbababaababbbabbaaabaaaababaab
+abbabaaabbbabbaabbbaaabbabbaabbbabbbbabababaaabbbbbaaabbaababbaababbb
+babbababbabbabbabbaaaababababaabbaaaabbbaaaaaaabbbabbaaabbbb
+babbbbaaababbaababbbabbb
+aabbababaabbaaaabbbbababbab
+baaababbabbaabbbabbabaaaabbbbbbbaba
+bbaaabbaabbbbabaaaaabbbbaababbabbabbaaaaaaaaabbaababaaababaaaaababbbbababbbbabaabaaabaaabbaaaabababb
+bbbbbbaabbbababbabbabaababaaaabbababaababaababaabb
+bbbbaabaabbabbabbababb
+babaabbbbbabaaabbbbbbabbaababbbaabbbabbbbabbbbbbbbabbaabbaabaabbaa
+bbababaaabaaaaaabbabababbabbaabbaababbabbaabaaababbbababaabbaabbbbaabbbabbbaaaabbbaaaaaaaabbbbabbabbbbba
+abbbaabbbaaabbbbbbbbbaabababab
+aabbbbabababaaaabaaabbababaaabbaaabaa
+aabbaaaabbaabaaaabbaabbababbbbbabbabbaabbaababbbababbbaaaaaaabbbbaaababbbaaaaaababbbaaabbabaa
+ababbabbabaababbabaabaaabaab
+aabbabbbbbaabababbabababbba
+aaabaabbbabbbbaaab
+aaaabbbbbababababbbbabaaab
+baabaaabaabbaabbbbbaaaababbabbbabbabbbbababbbbaabaabbbbabbabbaababaabbaaababaabbaaaabbaaaaaaabbaababaabbaabab
+babbbaaabaababbbabaababbaabbababaab
+bbbbbbabaabababbabbbbabbabbbbabbbbbaabbbbaabaabbbbababababbbbaabaaaabbbbbaaaabababaaababbbaabbaabaabababb
+abbbaabbaababbbbaabbbabaabbbbaabababbbbababaabbababaababbabbbbbbaaabbbabaab
+bbaabaababbbbababbbaaabbbbbaaabbab
+bbabbbbbbbbbabbabbabbaabbaabaaaaaaa
+baaabbbbabbbbbbaaabababaababbabbaaabaaaaaaa
+abaaababababbbbaabbbabbaabbaabbbaabbabbbaaaabbaabbbbbabaabbabaabbbabaaabbbbbbaabbbbbbaabaaabbababab
+aaaababbbbababbbbabbbaabbbaabbaabaaabbbbbbababbababaaabaaaabbbaaabbaabaaabbaaabaabaabbbbaa
+abbbabbbaaaabbbbabbabbabaaabaababbabbaaababaaababbaabbbaabaaabbaabbbaababbbbbbababababbb
+babaaababbaabbbababbaababababaaaaaaaababbbabbabbbaabbbaaaaabbbabaaabaabbaababbaababba
+bbbabababaaabaaabababaaaaababb
+bbaaaabaaaababbbbbbbbbaabaabbababa
+bbbbabababbabaaaaaabaababbbbaaaabababbbbbbbaaabbabaababbabaaaabba
+aaaabbabaabbabbabbaabaababbabaaaaaabbaaaaabaabaabaabababbbbbabababbababbbaaaaaaabbbbbbb
+abbbbababbbaaabaababbabaabbaa
+bbaabbbaabbaabbbaabbabaabbbbababbaaabbbabbbaabbbaaabbbbbabaabbabaaaabbabbabbabbabaabaababbabaabbbbb
+bababbabaabbbbbaabbbaa
+aaaabbaabaabaababbabaabbabbbaaaaabaaaabbababaaaaaabaabbabab
+ababbaaabbbbbaabbbbbabbaababbaaaaabbaaaabbbbabababbababbaabbbbbbbbabbaaababaab
+bbaaaabbbbbbaabaabbabbbaabbaaabbbbbaaaabaabbaaaaabbbbbbbbbaababaabbbbaaabbaaaaaab
+abaababababbbaaaabbababababaabaaba
+baaababaabbaabbaababbbbaabbbabbabbaababbabbbbbabaabbbabbaabbbbababba
+bababababbbaaaababbabbbaaabbbaabbbbaa
+baabbbbaabbababbbaaaaaaabbabbbabaabaababbbabaaaaaabaaaabababaabba
+aabbbbabaaabbbbaaaaababaabaaabbbababbbabbababaaaaabaaabbbbabaabbaabbbaabbbbbabbbbbbaab
+ababbababbabababbaababbbbbbbb
+bbabbbabbbaaaabaaaaaaabaaabbabbaabbaaaaaaaaabbbbabbaabaaabbbaababbabbbbababbabb
+abbaabbaabbbaabbabababaabbbaaaaaabb
+ababbaaaaabbabbbaaabbaabaabaaabbaaaaabbbbabaabaabaaba
+bbbababaabaababaababaaabaaaaabaaaababaaaaabaaababababbbbbabbaaaaabbabaabbaabaaaabbaababba
+aababbabbabbbabababaaabbbbabbaaababbbabaaabaaabbbbbbbaabaabbaaaabbaabbaaabb
+aaabbaaababaabbbbabbabaaaaabbb
+bbbbbaaabaabaaabbbabbbaaaaaabaaabbbbbabbabb
+80 65
+adcdcdabadcacdcbc
+ccabdddabdbccbdcbcbbcabdbaaaadddbaaaddcabcadbd
+cdabccaddadbbcabdcdacbdbdacccaccddcdbcdadabbdcadbcdbcacdacc
+acbacbdcbdbdaacdaccbadcbbbbcad
+bbcdaabcdcaadbadaddbdacadaabdacabbddcbdbccaadbdbbadaaabbddacdcdbcababdabdaadcaadbcdcaddadadcbcca
+bccddbccacccddbabddbdcddbbdd
+dcaaaddacccccdadbdbdbabbbdbbaaacadabcbbbdcccdacdcabcabacbadaddbdaabbaaabdba
+cacaaddcbbdada
+dddcddcbbabbaadbbbabdaaccddaadacbccabbbcdacacbccaababdabaadbccdcbcaaa
+dccbadacadbadaddabbdbccddbbdcdcbacddacdcbdccaaacabdabacaccdcababcabdcbcaccaabbcdbcbbabbccca
+bcccacdbaabddccabbbdaddabdacdadcaccdcaababbbccbabbcbddbcbcaabcacdddcbadaabddcdbbaaccadbbcdacdddbbaddbcacb
+cccbddbadaaadbacabccbbccbaadcbcdabaad
+bcadbdaabdcacddbbbcaabcdbada
+dddbdbdbcabdabbbbaab
+dbdcaabccaacbabbbddbccbcccabdcdcbbcaccaccdbbcbbcdbcbbdccbdabdbbabaacbbaaabdcccbddccbdcbbbcbcaddcaadad
+ccdbacabcdbaccdbabdcccdccbdadaacabcdcdbbabacbbacabadacdbc
+caacccbdccdabdcbdddcaadacccdddcbdcdcaccccacdaadaaddbdbbdccabadcbcbbc
+baabbbacabdddaaaacdcccdbccaddbbbcddddcdcbccdcbbaadadbdbadbbcdcbbbbcdacbdaaccbdad
+adbcdddbdbababdabbbbddaadacdcbcbddcccaabaabacabbdaaaaaccababdcacacbcdaddaadcbcab
+aadcdccaadbadcacdacaabbaca
+dcdaacababaadcdbaccdaabcabbdbcbabadbbdcddacdbacacbcbcadababcaccbbccdacadaddadcbdcdbbbcbaaccaaacdddadcbcd
+adbcdbbdaddabdcacddbaccccbcacbcbadccbabcbbbcc
+dddcccbccddaacbbaccbdadabadbadddbccbbccbdbcdbbdcbbdbdaabdcbbcaadadbbcbadabdbd
+badadadcddcacaabdaaddbdaabdbabaacacdbacbcdabaaccbdbbbdbcacaadadaccdbaabacabbababdabdbacdbddccb
+aacabbcaddadccccacaabbabaadaa
+adaddcbabbbbacbdddbbcbadaabadacddbadbdbacccdccaddcbcacba
+aacaccddadcbacbcdabbdcdbaccbcbadccbbabaacbacacdcccaddbdcbcadcddbbbbbc
+dcabbaabcacdaddbcbaadbbbadadddbdbc
+cbacbddcbcbdacbbcbdbdbdcd
+bbcdbccbabcbccdabbdcabaccabddddddcccbdddd
+dbbabaabbbaaabbddcadcbdbc
+caadcabcddccdcaaacbcbdadabbdbabaddcdcbaabdcccddaacbabccdaddcd
+dddbadbcacaccdddabbcabdbbacdcadbcaaddbbdacbcbacacccddddb
+acdccadbcacadbdaadabbbbcbcbaaaacaadbdccaabbcbbdbd
+babcdcdbaacacdbdaadbcbadadbbcababbbbacbdcaddcabddcbdbcaddacddddcbccdcdcabbddbcdcacbaabbdaddcbb
+bcddcaadbbbbaaddbbcdddbddadaaddacadbc
+ddcacbbcbbcdccadcacacbbbddcdadcbbdaadaaadadbbbbdddacabadbbdcabbcadb
+baacaccdddbccaccddbaaacaababdbcbbadbaada
+ccbdccaacbcdacdaabddcacdddabacddcdccdacdbcadcba
+aaabcccdadadbdbdddccacbacdbbbadabbaadaabdbdcabbcbdadbadcaadccacdcbaacbcccaadcbacadbbababdddbadcbac
+adaacbddbdbdaaddaddacc
+cadbdbdadadacacdadcaabcacaccbcccadacaaaaacbccbababacddacbcd
+adadabccbcbccbcdbbabbccdd
+abacabbbcccdccbdaadaddaaccacdbdaacdbdadbcddacbbdd
+daacbaccddcadadbccadaadbdcdacdabddddccaaccadbbbcbcdccbdcdcddcbaaccdcd
+ccadabcddddacdcdcaacadcdaccaaccbcadadcddbccabdbaaccddaacadabacddcbd
+bdbcdaacbbbaadbadacccaacbdbddccadcbdaabdbbcdacacadbabddddcbaacdaacbcbadcddcaaabbbabbbabaacbdacabdacccbaadbd
+dbbbddddbdcadadacacbc
+dacbbbddddcdabcbdababcdcadcdcbbdddadbadaa
+cdbdaabbba
+acbbaacccddbdcbbdccdccddcbabacddddadbdbbababcccbdbbccdabbdab
+dcdbaccbaadadbbbddbddcddbbd
+bbabdcadacdbdbbabdcbcaabaaddababaacbdadadcbbbdacbadacdaacbcaddccddbdaaaddddddddbdbcdd
+dabbcddcbacaadbbbddaabdadadadbcccdcaadddbaadcbccdabbcdabaabaadbaadcb
+abcbccbbcdbababdcadccabdcbaaaaccbacdabccdaaddcdbbdaadccdaccaadaabbdabbaaccdabcbaadbdd
+abcdcbccbbaacddcbbcdbdadcbacdddcddacacabdbdcbaddccdccaabbbbaacbcbddcdaccdaaaa
+cdbbbbdcbabbcaddcbddbbcabbcaccccdadbddab
+dcbcadacaccbacaadbdabcdbcbbbdadccddacdcbcdddcacbabbcddcaaabbdabddbdddabaddbdbbdcbcdddbad
+abdccaabcccadacbbbdadabdabbaadccccbacbacdbdbcddbbccbdddccccbcdcddbbcbcdbddacbccbbdabaaaaaaac
+cccbbbdddccdddcdadabcbddcccdcaadcdcdbbcadbdbabcaadaccbddabdccb
+cdabacdabbdccaabaabddcdcdcdaccac
+ddbdccdaddbcdadccacbdcbbccbbcbddbabdccdbbd
+ddddacacddbbbdaccbadacdabbadacbcbdcdddcabcadcbbcdbacdcbaccccdcbaccaacabbddadbaaddacddbdccdcdcddacbbabbbdcdda
+bbbbcabaadbbadbdbaabaacaacaacddbbdbccdadbddcaadaccadbd
+caadbbacadcaccadbbcbaaa
+cabadcbcddccbaadbcbdbdccacabbcdbadabdcccacacdc
+bdbcddadccccbcdcbcbbbabbdbbbaccaddbabadabadaadcbca
+bbadaadabccbbdaacabdabbcbccdbbcdcdacdbcbdaabca
+bdcbbbddcabcbbbbbddbabbadbdaadbdadcbaabcbdabcacbbdbaabacbbdcbddbabdccbcaabbaddbaa
+badcabddbadcbddcacddcdbdcadbbdabdbc
+bcacdcbabcc
+dbddbdbdccdbaccbbdbadccbdcadbacaadba
+dacadadadcabababddcbadbcbbbacadbcdcdaaaaaacbdddbadbdccbbdabcbadcb
+dcbbdbbbbcacbcbdccbcadddcaabcadcdbddabdcbbdccddaacbddcbbccdbddddabcbabbcddaddcabdaadcbaccddddcbdbaddbcb
+cdacadddbbbadbd
+cacaccdcdbcdbbcdbcadbaabbcbbabcabbaabbbbccdddccbdadacacabbbdb
+dcdbdbdccccdadcbcddacbdbddbbabcdcdbcadadbbdbdccdcdcacb
+abddcddbbdaab
+bcacbdddaaaadbcaadabcdbacbadcdabaaabccdddbdabbbacaacdbbcdbacadababbaddbdbdbdabab
+abbcaaacbcbddbcdacabaccdddcbb
+52 9
+bbbbabababbabbabbabab
+bbabbaaaaabababababbababab
+baabaabaaaabbababaabaababaaaaaabbbabbbab
+bbababababbaababaaaaabbbbabbabaabbbabaabaaabbbbbaaabaabaaaabbabbbbbaabbbbabab
+baaabaaabbaabbaaabaabaaabaaaaaaabaa
+bbaaaabbbabbbbbbbaabababbbbbabbabbbbaaaabbabaaaabbaaaabbbabaaababaaaabababbabbaabaabbb
+abbabbbbbbaaaaaaabbaa
+abaabbaaababaaaabbaaaababbbaabbbaaabaabaaaaababbaabbbabbbbbbaabbaaabaaaaaaabbbaaabaa
+baaabbababbabbbaabbbbbbababbbaaaabaabbbbbababbbb
+abaabbbbbaaabaaabbbabababaabaababbbabaabbbaababaaabbbbbaaaaaababbaabbbaaabbbaa
+ababaaababaaaababaabbbbbbbababbabbbabbbbaaaaaaaabaabbaababbabaabbaabbaaaabbbbabbabbbbaaabbababbbababbbabba
+bbbbabaaabababbabbabaaaaaaababbaabbbabaaaabababbbbabbbbbbbabbabbaaaaaaaaabaababaaaaabababaaaabbab
+baaaababbbaaaaababbaabaabaabbaaaabbbbaababababbbaababaaa
+aababbaabbaabbbbaabaabaaabbbbb
+bbbabbbaaabaaaaabbbabaabab
+bbababbbbbabaabbbbaabb
+bbbbbaaaabaabbbabbbaabaaaaababbaababbbbbaaabbbaabbbaabaaabbababbbaabababbbbbb
+bbbabbaaaabaabaababaabbbbbababaaaababbabbbbabbabbabb
+abaabbaabbaaaaaaabbb
+bbbaaaabaaab
+bbbaababbbbbaaabbbbaaabbaabbabaaaabbabbbaaaaaaabbbabbbbbbbabaabaaaabaaaaaaabababababbaaaabbbaabbb
+abbbabbbabbaaaabbabbbbbbabbbabbbbabbbbaabbbabbaaaaaaabbbbbbbbaaaaabbbbb
+abbababbabbaaababbbbabababbababbaab
+bbabaaaaaaaabbbbaaaaabababaaababaabbbabbabbbabbbaaaabaabbababbbbaabbabbabbbbabbbbbb
+aaaabbaaabbaaabbbaababbbabbbaaaaaabbaabbababbbabbbbbbbabaaabbb
+aabbbbbbbabbbbaaaabababbbbabaaaababaaabaaababaaabbbbabababbaabbbb
+bbbbaaaabbbaaabaabbbaabbbbbbbbba
+baaaabbbaabbabaaaababaaabaabbabbaabaabaaabaaababaabaaaaaaabaaaaaabbabbaaaaaaaaaabaabbaaaaaaaaababbabbb
+bababbaabababbbbbabbaaaab
+bbbaababaabababbaaaababbbaabbbbbabbbbbababbbababbbaaababababbabaabbaabaaab
+baababaaaaabababbbbabbaabbbbbaaaababaaaaaaaaabbbaaabbbbbabbbaaa
+aaabbababbbbbbbbabbbabbaaabaabbbbbabbbabbaaabaabaaaabbbaababaaaabbabbaaabaaaaaa
+babaabbbbbbabbabaabb
+baabaaababbaaabbaaaabaaabbbbbabaababbbbbaabbaabbaaabababab
+abbaabbbabbabbabaaabaaaaaaaaaaaabba
+bbbababbbabaaaaabbabbbbabbbaaababbabbabaaabbbaabbabaaaababbabbbbaabbbaaaaaaaaaabaababbbbabaaaababaaababb
+bbbaaababababaabbaaababababaabbb
+bbaabbaaababbabbbbabbaaaabbaabbbbabbbababbbbaabaaaaabaabbbabbaabaabaabbb
+abbbabbaabbbbababbbababbaabababaaaaaaaaaaabbaaabbbabbbbbabbabbaaabbbbbbaabbaaabbabbbbaabbbabaaaaab
+bbaabbaaababababababbaaababbbbababa
+abbbbaabaaababbbbbbbbaaaabababbbaabb
+bbbbabbabbaaaaaaaababaabbaabaaabbbabbbbbaaaaabbbbaa
+baabaaabbaaaaaaabaabbbbabababbbbaa
+ababaabbbbbbababbabaabbaaabaabababaaabbabbabaaaaababbababaababbaababaaaaabbaabbbaba
+babaaaabababababbbaaaaabaabbababbaabaabaabbabbaaabbabaaabaaaababbaabbaabaabbaabbbaaaaaaaaaababaaa
+aaaababbbbbababaaabababbbbbbbababababaaabaaabbbaaabaabbbbabbaaaaabbbbabbbbaaabaaabb
+abbbaaaaaabaabbbabbbbbbbbbabbbbabbbabbbbabbabaaabaababbb
+abbbabaaabbbbabaabaabaaaabaabbbbbaaaababababa
+ababbbabbaabbbaaaaaaabbbbaaaababbbaabbbbbbaabbaababbbabaabaabbaabbaabaabbbbabbababaabbabaabaababbba
+babaaaabbaaaaaaaa
+abbbbaabaababaaaabaabaaaabbbaaabbabaaabababaaabaababbbaabaaaabaabbbabbbbabbaabaabab
+babbababbaabaaabbbababbbaabbbbbaabaabaaaabaaaaaba
+201 192
+aabbacabbaaabbaaaaabbbcabbababcaccbcbcacabbcbbcabcbbacbccacbaabccc
+cacaacccaabcccbbcbccbbcbccbbccccbcbcacbbbcbabccbcb
+cbbacabaababcccaac
+cbcaccacbabbbbcabbacbaaabbcbbaaaabaaaaaaaaccb
+cabcbaaabbacacabbccabbabbcacbabccaaabcaaaababacbbabccbaccccabccbb
+acacaabcbcccbbbbccbbabbbcbbcbacbcabbaababcaaccabccacbaacbcccababcbaabbcaaaaacacaabbcc
+abbabcabcccbbacabcbbabacccbabababacccbbccbcbcbbaccbaacbbabaaccbcbcbabcccbaacabaa
+acbbcbbbbbabacbccabbaabccbbbccbabcbbcabacbcbacaaabbbccbbaacabbbcaa
+abaabbaaccccbacccbbbaabacaaaaaaaccacbbaaacaacccacabcaaaacaaccbbccbbaabbcabbabbaabbccbaacbaaababbbbabaa
+cccaabbaaaaabbacacccbaacba
+bbcbbabaacaaccabcbabbbbcccaabbaaabbcccacbbcbcbacccabcbccaaaabccbcbc
+abaabcbccbcbcbacbacbccbcbbaaacabbccbcbbaaaac
+abccaabcaabbccacbbbaabcabbbbbbacacacabbccacacbccccbbaaacaacacacbcaabcccbacacac
+bbacaaccaacbc
+bbacacccaaabcbaabbaaacbbccbabacbccbaacbbabbccbacbbb
+cbabcbacbbbccbccccbbbbcbaccbacbaabbbaaacbbabbcc
+cbccaaabacccbaacaabcbcbbcaabacbcaccaccbcccacbabaacabbabcbccbcabbcbacbbcacca
+bbbbaccccccacaccccaacbbbaacacbbbcacbbbacbbbbacccaaabbcaababbc
+bbaaccbbcacbbbbbcbabcacbaaababcacbbaaacaaababcbbbcbcccaccabbcbbcbaabbbaaccaacbbbbbbacabacb
+caaccbaabc
+aaaacccaaacbbccbccbbbbabaaacabcacaaacabcbcbababbabb
+ccacbbacbacbacacaaaaacaabacbcb
+ccbcbccbacabbaacabbcabacabbccaabaab
+bbbcaacbbbbaaccbcbcabbaaccbabbaababbccbaaabcccbaacccaaccccacaaabbbcaaabcacaca
+acbcbababacaabbabcbaaccbbccaabaaabaababbbacacaac
+babcccbbbaaacccbcbabbcccabaccbabccaacacbcaabacaabcaaccaaccbcaabaaaaaaaacaaabccbcaabbbcbabaccacbcaccab
+aacccaabcbababa
+abbbcbcbcbcababcbaababbbbbaabaabbccbbbccbcbcaccccbbcbbcabbcabbbcc
+caabbbccbacbbaaaccccacaaabcaabbbacaacbcbbabbaabbba
+abcccabbbcccbccacacc
+aacabcbababacabbabaaacabbcabbacbaacaabcbacabccbcacbbaccbaccacaccbbcacbcccccbccccbab
+aabbccccaabaaabacccbaccaaaccbbabbbccbcaccacbaabbcbbbabbcbcbbabbcaacbacccacacaccc
+bbcbabbaccabcababaccbaccbcbcabacbbcacabbcbccaaaababbbabcca
+abbaaacbbaabbac
+cacabcbaccacbabbbabccbcaccbaacaacccbcbabbcbaccaabccbaabbccabcacbaac
+cbacbccabbcbb
+bbbabcbbbaaabcbbcaacbccacbaccbcbbacbaccbcacaacbaccaabccbacbbacccb
+bbbbbbcbbccccbaabcabcabcbaccabc
+aacccaccbbbacccbacabccbaccbacbaaaccaccbacaabcbbbabbbcbacaabcbcccaabbcacabaabbbabacbcacbcbcccccacbaaccbbbbca
+bcccacabbaabbbcaabccaabbabc
+bacbbacccbaaaabbcccbcccc
+acbbcbbccbbba
+accaacbbbaabaccccbbbaaacbbaaacbcbacbcbbccabcbcabaacccaabcbcabccaacbbaaaccbaccbbacccacabac
+abcaabcacbaaababcccccbcccbcbbbccabcabbbbaaaabbcbaccbaccbbacababaabccaaba
+acccbbaaacacacccabbcccbcacbaaabbbcccacaaccccbccabaabbacbcaabbcaccbbabcbbababbacaabbabbac
+aaccbbbbabacbcbbacabcabcccaccacbbccccacbacccaabbbbcabbcccaccaabcaabbccbccaabbbcbcb
+cbcabaababcaaccbcbaabaabcbcbccabbcccbcacaabacaacbabacbcccbaccccabbbcaabccbcac
+baaccabbcbbaccbccacccbaabbcccaccccbac
+cccbbacbbabaacabbcbaababbbbacbcbacccacacbcbaabaaaccbbcccabac
+bbccaacabcaaacabbcccbccbcbbcbcccac
+cbbccaaaccaacccbbccaacabaabbcbababccccabaabcaaacacbbccbabcbcabcaaabaabbcaaccaabccbbaabbabbcaa
+cabbbbcbabbccababcbcaacbbacacaabbcccaaccbcbcbaaccbacacabcbabcbabacccbbbcbbbbbaabba
+accabbcacacabbaabbcbbbbaacbacbcbbcccccacbbaaccbaaacacaabcaccaabcacbab
+abaccbcbaaccbbccaccacaaabbbcacabbaacacb
+bbbcbccbabacbbccaabcbaccaccbabcaacacacccaaabbccbcabcccccccccaaccbbbbbababbcbccbaacbabcacccac
+aaccbbacabbaaccbbbbacacbaacacbaccccb
+acaacbabaabaacccbbaaacbbbaccbccaabbabbcabbcbbababaababcabbbbbacbacaccbcccaacac
+cccccabcabaaaaccccbcabbbaabbabbcbbabacbacaaccacabbcabccbcaaabcabbabcacbacacbba
+cabbacccacbcbaa
+cbacbccbaaabbcbccbbaaccabaaaabcbaccbbbbcbaabbcbacbaacccbbaaaccabaccbaccbcbabacbbbacaccccccaacaabaaacaccbbbcac
+bccacabcbbaacbbabbcccbbcaacaccccbacacccaabaaacaaacabbabcac
+bcabbbbabbacccccabcbcaabcbaacabbbcbcbbbcabbbccccabbccacacccbbbbacbabbcbaabbb
+cbcacbaababbccbacbabcab
+babbcacbccbcccaabaacbccacabababbbaaacaababbbbbbccccbcbbbbccabaacbbcaccacaababccbcbcccbaccba
+abccbcccacccbcacabcbabcaccbcbcaacaacbbbcbabbbaabbbbbabbbabbabaacabbacbc
+abbcbacbacbcaabaabacccbacbcacaaacbcacaaacbbabbabcbcaccbaaaabcaabcbcacbbaa
+cbcccbcbcabcacaabcabcaaacbbacaabaccccbcaccbccbaabcbccccacabcbcabababaabaaaaaaacbcacbcaabbbacbcbbbbcacbb
+caccbcacbcacbaabaabbbcabaaccaacaccbcaccccabcbcacbbcacabbbaacacaacacbbcccbcbacbbabcaccb
+cccccaabcccabbbabaaaaacabcbaacccbcaa
+bbaaacabbcbbaccaaccbbaccabababbabbcaccacccabacbaaaacacbccccbabcabcccabc
+caabbacacabbcaabbccbaacbbaaabcbacbacbaacccaabcabbb
+abccabaabbcacbccaaaaacbcaabccb
+bbaaabacaccbacaaaaccabcbbaacbccbaccbbbacaaccabcbcbacbbbbbcbabacacbbccbacacbabbb
+acccbcbbaaccbaaccbabbbbaaccaccbabacbabbbacabacbaaaccbbcbbacbacaccabaacbacabaabacabaaacaabaabcbccccaccbc
+bbbbabaabacabacccacbbccaabbbccbbbbbbacbcaaaccaabaaccaacaccbcacbacbbabcbcabccbabbcc
+cacbcaaaacbcacbaaacacbbcabcbcabaabbacaccbbccababbabbacaaabcccabbcbacabbababcccbaabbacbbccabbaa
+cbbacbcccbbaacbbccbccaacbcbabcaaabaacbcabbbc
+aabaccaacaccabbabcaccbabacaccbacacccbbabacccbccacacbcbacaacabc
+bbccacabaccaabbbbbabcabcabaabccaccabbbccbabcaccbaaabcbacbcbaaabcbaaccbabaccaccaacbaacbbbbcbbcbbccba
+bcbcbbabcaaabbacbabbbbccbbaaccbcbcbacacccacabbbbcbabaacabaababbbabcacbaaabbbaaccccbbbab
+aacbacbbabbbacbaacabccccabbccbabaaabaabbbcbcbabcaacbbaabbcbbcaaacbcabbccccaaaccbaaaaacbba
+cccacccbbbccccaccbccaaccbbbabbbaccbaaccabaaabbbcaccabcabbaccabcaabbababccabcbaacabcacabbabbbbcaaaaacbbbbb
+aaccbcababbbcbbbcbcbcacbccc
+abacabbbacaabbc
+caabacbbaccacaacabbcaaccbcbcacacabcbcbcaabcbcaccccbcccabcbccacbcccabbabcc
+bcccabbccbabcabaababbaccabbcbbccbaabbacbccbaccabcbbacbaaacacabbabbbbbbbcabacacc
+bbaabaacbacabccacbaaacbaabbbabcaaababcacccacabbcacbcccccbcbaacabcccbac
+aacbcbaabacbbcccbcbcabcacabbcccbacabcabcbbababcaacccbcaabbbaaa
+abbbbaaacbbaabaabcbbcbcaaccababcaaacbbbccabccacbaaaccabcabbc
+bacabbaabacaccccbbbbaabacbaccaacaaaaacbbac
+cabccaaaccaaaacaacbbba
+bcaacbbabcb
+accababcbbaaabccccbaccacaabbcbcbcacccbccbcaacccacaaabbcbaaacbbbccaa
+cbabbbccaaabcbccaabcabaaabac
+cacbaabcacacbcabaaabaccaaaaabcaacbababbbaacabcbcacaaacaccbb
+acbcaaccaacaaacaaccbaaccccabaababacababaaaaccbbcaabcabcbbcbabbaacaccbcaaabcaaacaababaacaaca
+cbabcccbbcabbabba
+acacbcbbacaccacbbbaabbbcbbaabacabbbcbaabbbccaccababbbaaaacbcbbbccbbccaacccbacbcbbacbbcaaaacabaaca
+ccaababccbaccaccccaccbcaacccacccbcbcaabbbbabaccbbbbbbcbbcb
+caababcccbbaababbbcbcbcaaabbcbbbacaccccbbcbcccbbcbaaabacacb
+bbcabccacaacacbbaabacaaacccacaccaabcbabcccbccbaacbcacacccaacbcc
+ccaaabcabacbaab
+bcbabaabcaaccacbabacbbbcbcbbabbcaccbacaa
+bbaabbccaaaaabbabbabbacbabbccccabcacbbacccbccbacaba
+aacbabccbbcbccaaabaaacaaaaccbabcacbbccacbbb
+ccbcccacbbcacbaaaaabcbcaababcabaaccbbcacacbbbbbbaccbcbbcaabccbababbcbabacaacbaabaacbcccc
+bbccabbbababccaacacaabccbbabbbaacacbcccbcccabacaa
+cabcaacbaaccbbaacacbcacbcbacaaabcbaacacbaacbbbacaabaabbbaccccabaccabcbab
+bbbbcbbacabaacabbbaacaaacabbca
+aaccabccbcabcabacbcaccaaccabcbacbbcccabbbccaacaabbacbbacaccaabbacbabbbabacabbac
+bbcabbcbbacbcabcaabacaaaccbabaacaaababccaaacaacabccabaaaacabcaacbcabbbbbcaaaacbbabbbaaccbacabcca
+accbacccbccaaccccbbaaaccabbcccbbbbbbacacabbaabccccacabacababcbbcbcbcbccaaababbcccabbaaccbcbbacbacacbcab
+baabaccbaccacacaacccacbbcaac
+baacbbaacccacbcaacccbccbccacccbbbabcbabccaa
+bbabbcacabaacabcbbbbccacbaacabcc
+bbcaaaccbbbbbabbbbccccbabbbcbaaccaacaacbacccbbcbbbbbaaaacbcccaabbaabbababbabaacabacbbb
+abbbccabcbaabbacbbaabacbcacaaabcbaaabcbbb
+cccccccbacaabbcabbccbaccabaccccbbbcccababcacccccccababaaccabccccaabaccbcbaabcbbbbcbcacacccb
+aaabbacacbbcbbaaacbcbabccbcbbbaccbcbaab
+cbccbacbccccaccacabacaabbaacabab
+bcbacbcbcabacacac
+cabbcbcbbbcccabcccccababaaccbbbbcabcbbca
+baccaaaaabcbccacabaaaac
+cababbbcaccbabcacccaaabcbbabccbbbbbcbcbbabaaaaabc
+babaacbbbcccacacbbabacbbaaaaaabcacccccccacaccacacaccccbcacbcbbbcc
+bbacccbcccbcaccacbcababaabccbbccbacaabccccabaaaa
+ccaaabcacccbacaccc
+abbacabaaccccacbacbaaccbacccccaccbbcbbcbbaacbcccacbcaaacaab
+accaaacccbbccacaaabbccbcbbbbbcbacbcccca
+bbaababaabcbbcccbcacacaacccccaaccaaabacbacaaccccbccbbaab
+aaabacbbaccaababbaaccbcbbcccabbbccabaabcbabab
+abcaaaacbbcccabaabacccbabac
+babbbcbcacabbabcbcaaccbcccabaccabacaaabacbbbbcabbababbbbabbcabababcccaba
+babcbaccaaccccbacccaaabbccacbcbacbcccbcbabbccbaccbaccbaabcacbbabbacbcbbbaccbbcaaccbcaabaaabbbcbcccaacc
+abcabccbcbacb
+cbabbccaabcbcbaacbbcbbaccaaaaaacbabccbabbcbaaaacb
+aaaaacabbcbcacaaaacacabbbccbcbcabbcbabcacbbacccca
+cbbaabbcaccbbaccabaacaacacccaccaacbbaabbaccacabbcacbcbbbbbacc
+aacaabcaaaccbaaacacbcbbaabacccacbccbaaaababaccbccbbbababcbbcbcabcaabaacaaacaccaacaabbbc
+cbcaccbcbabcbccbcacbaccabcbabbacaacbaabaaccabacaacaabbcbbacababbcbbbcaabaaabccacaacbcabcabccb
+caabaacabaaaacbbcacaaabbbacccacbbcccbaabbaccccccbabbbbbbacccbcabcccabcacacaabccbaacb
+cbabaacbbaaaabbaabbaabccacccccc
+abbcbbaaaaacaabacc
+bcccbcccabbbaacccbccacacbaccacbacccbaccbbbaacacbbcbcbccaacbaaaccabacbbaccccbabaaaaccbcbbcbacac
+bbabbcccaabcbacccbabaacabbaaccbcbabbabbbabaaccbcacbbabbacaacaaacaaabbcbbbaaaaccc
+baaaccacbbbbbac
+abbaabcbabccabcbbbcaaaab
+baacaacabcbabccababacabcbcaabbcccacaa
+bbabcbaabccacaacbaacccbabacbcc
+caaaccbabaaabbaacbabbbabbbacaccbbcbacccaabaabcabaaccacaaacaaaaabccabcbbaabbbbaacbbbaacbacbbcccbababcabb
+bcccccabbbcbcaabcbbbaccbbacbcaab
+acbcabbbbc
+cacabaaaaaaabbcabaabbcabcbabbaabcacccbcabbbbca
+bbbabbaaabbbaabbabbccabacbbaccacaaabbaccababbcaaccaaacbcabc
+cccacacabccbaccacbabccbabbcaaacccabbccaabacacaaabbcccbbbcbccabbbbcccbaababbcabcbca
+baaccccbcccbbbcacbcaacaabcccbbaaabcccbabcaabcacccbaaabbbccbbcccccaacb
+ccaccaabbbbabacccaccaacbccbaccaacbabcbcbbcbaaccbacbbabccaabaabbcc
+aaabbbbbcccbcccccbcbcaabaccbcacccacbacbcbaabbabbbbcbccbccbacaabbbbbaaaaaabbcbbbbccbbcabcbbcbbaabaabbcccbbab
+ccbcbbaaabaaacacacabcbcaacbacbccbccabcbabccaccacabaccaaabccacaaabcb
+aaacbacaacbbbaccbbaabcbacabacccabaccbcacaababaacaacbcaabaaccbcbcacbaaaabbaabccaaccbabcbaabaabbccbaacccbbcc
+babacacbabcacbcbbaaaaacabcaacbabcaccbaaabcabccbcaabbcbcaccbccbabaacaaababacaaacccbac
+ccbbbcbcbacaabacbaaaabaaacabaaabbbbbacaccbabaaabcacccbbcacabcacabcabaabcaabcccaccb
+abcaacbcbbbcaacaabccbcbcabccbbbacbccabbabacaacabacccaabbcbccaacaaa
+accbcccaaacabbb
+bacaccaaaacbababcaccccbbbbcacccacbcbbaa
+caababccbccbbccccbabbccbacccabbbaabbcbaacaabbccbbaabbbbaccbccabaaccaccbcacabbcccaacbabcaacabbaccaaab
+caaaacaaaabccaaccacbbcbcbacbaaacbcaabca
+aabbacabcaacabaccbaccbbbccaacbbcbcbababbcbcbabbbacacabbbbccabbcacccbcbbcaabccaaabaccabbaaacccacabbaacbaa
+abbcacccabccacbabaaacabcbaaabcbcbbcaabbacacaccabbb
+cbaacabaacababcbbcbaccacaacbacbccacaba
+abaccbaacabbcbcbbaaabcaaabcbbcbcabcaaaccacbccacc
+abbaccabaabacbaacbaababcabcccacaaabaaccabacaaabcaabbaabcaabbccccaabccacababbc
+bacabababbacaabcabaaabcaccaacccabbcccbbccaacaccbbaccbccbbcaabaaaabaaca
+bbbacaabbabaccbacbcccababccbcbbbbaacacbabcbaacbcacbab
+cbcbcbbcbccababaabcccabacbcccccbacbacccbbcbbacacccaabcbbbcbabacacabaabbcacaacabbcbbcabcac
+cacbacaacccabcaacbbbbcbcccacbabcacabcbbccbbbcbcacabcbaabcbccaaccbabaa
+bacccbcabcbacbccbcacccbbbbacbbaabbacaabaaabbacbcbbabcbccccabaabbbabbacaacaa
+ccabacabcccabaacaccccabccbabbbacacaaabbccaaacbcbcbbcacaaacbac
+cccbbbcbbcbbbaabcaccacbbcbacccbabcacbccbcccacbaa
+babbacbaabbaccabbabacacbbbbbccababaabbabccabbcbcccccbabbbba
+babbcbbaaabaccabbcaababacbaccbbbaacbaabaabccaabcacacacaaabbb
+abcbcbabcbaccbbacbcbabbccbaabccaacccacbcbbbbbcca
+bbbcaaccabacbbbcbccccccccaabcccccacbcbababaccaaaabbaabbaabaacccbaaccbacababacacab
+bbabcbabcacacacccabababbacacccbcaabaaacbaaababcbcacababbacccbbaaaacacbaabbbcbcaacb
+bacacbbabcbbaabbccbacbcabcbbccabbabaacbbaacacacacbbccbaacbbcbcacbbccaaabacabacbcbbbbbcabccbc
+acacabaccbcbaccaacbcccabcababacaacabaaaaacbbbaacaaccaaabbabbaaccabcbcacbbabcacbcbcabcbbccabccacac
+bccbbbcaabacccabbccbac
+bbccccbcbcbbbcbaaaacacbcbabaaaaccacbabaabcccabaaaaaa
+cacbabbcabababbcbcbbab
+aacaaacccbaacbcbbbbbbbcbacbbccaccbbbcbaaababcabbbcccbccaaccbccaacbbcbbbccacbcbbccacaab
+abbacccccbcaaccbbbbcaabcbbbacacbacacccccbbaccacbcccacbcabbbaccaaacaaccaaacaaaccaacbacbbabaccaccbaacbab
+aaacbcacbabcbbabbccaabaabbabbacaababcaacbaabacacbcabbbbcbaccababccbccbcbababcbbcbabbccaabcbaacacacaccbcbba
+ccbcbbaaabcbaacbacaaacccbbcacabaaaacbaabbaaacacaabcccbaaccccaabbccccaccacbabccbbcbcbacbcbaabcabcacaacc
+ccbcccbabcbcacabacbbcbaacbaccbcccabbbbbcccbcbcccaccbbbcabaaabaacacaaabcbabcaaabaaaabbccccaabbccabbabb
+abacaacbcabccaaacaaaaacbaacacaaacbcbcbaabbbbacaacbacbb
+aabbcbcabbaccbcccacccccbaaacaaaacbaabcabbaccacacbababccacbaaaaccbaccbbcaaabacccababbbbacbbaabcbbabccac
+aaaacbcaaccaaaabcacaaacaccccbbcababbaacbbacbcbaabaacbbccaabbbcabbccbabacacbbaaabbbcbacbbcca
+bcbcbbccbcaaaaccbbbcbcccbacabbbabcbbbabccbcabacacbbbbcacbaacccbaccbaccacabcbabaabcbaabcacbcabcbbccabbc
+cbcbcbaababaacbbbabccaacbcbaccaacaaccbcbaccaccbcaaac
+abccabccbacbacaabaa
+bcbccacabb
+264 95
+abbababbbabbbabbbbaabbabaaababaabbabbabbaaabbaababaaaabaababbaaaaaaabaaaaaabaaaaaa
+aaababbbbbbbabbb
+aaaabaabbabaabbbabaaababbbabbbbbaabaaaabbbbaaabaabbaaaabbbbba
+bbabbbaabbabbbbbbbbbbbbabbbabbbaabaabbbaaaaaaaabaabaaaaab
+bbaabbbbaaabaaaaaabbabbababaabaaabbaaabbbbaabbababaaabaabbbbbabaabbaabababbaaaabbaaaaabaabaabbbaaaaabbbbabb
+abbaaaabababaaaaabaabbbbabaaaabbabbaaabbababaaaabbabbbabbbabbabbaabaababaabbababaabbbaabbbbbaabbabba
+aaabaababbabbbaababbbabbbaaaaabbabbbaaaaabaabaaaabbbabaaaaabaabbabbbbbb
+abbbaaabababbabaaababaaabbaabaabaaabaabbbbabb
+aaababbbbbaabaababaaaaabbaaababaaabaabababaaababbaaaabbbbaabbbaabbaaaaabaaa
+bbbabbabaabbbababbbbbabbaabaabbbbbbababbbaaabbaaabababaaaabaaaaaabbabbabaaaababbbbabaabababaaa
+babaaababaaabaaabbaaaaaaaaabbbaaaababbaabababaabbabbaabbaaabbbbbbbbabbabb
+abababbaabaaaabbbbbaaabbbabaabbaaabbbbabaabb
+bbbbabaaababaabbabbbabbbbbabbbbababbabaaabbbababaabbbbaaabababbaabbaaaabbbaabbbababbbaaaabaaababb
+abbbbabaabbbaabbaaabaaaabaababbaabbbabaabaaababbabbabaabbbababbabaaaabaaabbaaababaaabaababbbbaaabbabbbbbb
+aabbbaaaaaababaabbbabaaaaababbbaaaababaaaaaaaababaabbabbbbbbbaabaabababaabbaaababbbbbb
+babbbabaabbabbbbbbaabbaaabaabababaabababbababaabababbbbbbaabbbabbbbababbbab
+bbabbaaabbbbbaabbaaaababbbababbabbaaaaaaba
+abbbaabbbbabbbabbbababbabbaabbabbbbaaabbbbababbbbbaaba
+aababbabbabbbbabbababbbbbbaababbbbbbababababbabbbbbb
+baaabaabbabababaabbbabbabaababbbbaaabbbabbabaaabbaaabaaabbbbbabaaabbaaabbababbabaababbab
+abbabaaababaa
+babbabbabbaababaaabaababaabaabbaabbbbaaaaababbbbaababbab
+abbaabaabaababbbbabaabbaabbbabb
+aababaabaab
+ababbbbaababbaabbaabaabbbbaaabbaba
+aabaababaabbbaabbabbbaab
+aababbbaabbbabaabaaabbaaaababaabaabbaaabaabbaaabbbbbabbabbbbaabaaabaabbbabaaba
+ababaabbaabaaaaaabbabbbabbbbbababababaaaaabababbbbabbb
+babbabaaaaababababbababbabbaba
+abaabaaaabbbbbaaaabbabaaaabababbaababbaaababbbabaaabbbbabbb
+aabaabaabbbbababaabaaa
+bbaabaababbbabbbaaaaaaabaabbababaaabbaaaababbbbbaaaaabbabbba
+bbaabbbbbbaabbbaaabbbbbbbbbabababbbaaabbbabaabaaaabbbabababbaaabaaaabbaabbbabbbbbbbabaaaabbabbbbbaaabaa
+bbaababbaabbbbaaaabbabbbbbabaabbbbaabaa
+aabbbababbbabaabaaaaaababaaaaaababbbabaabbababababbba
+babbbaabaabbaabbaaababbaabaaabbaabbaabbaaaaaaabbaaaaabaaababaaabaaaaaabbaababbaabbabbababaaababbbb
+aabbbaababaabaabbbababbbbbbabbabbabaaba
+bbaaabbbbbbbbbbaabbbbbbabbb
+abbbbbaabaabaaabbbbbababbabaab
+abbbbaababbbbb
+baabbbbbbbaaaabbbabaaaaaabbbaaaaaaaababbaaa
+abbabbbaaabbbbbabbabbaabaabaabbabbbbbbabaaabaa
+bbbaababaabaababbababbabbababbabaaaaaaaabbabbbbbaaaaabbbbaababbababbabbbabaaabbabbaaaabbababbbaaa
+bababbaaaabbabababaabaabaabbabbbbaabbaaababbaaabbbbbabbbbbbabaaabbbbaabbbaab
+bababaaaaabaaabaaaababbbbaababbbbbbaabbabbaa
+baaabaabbbaababbaaababbaabbbaaabbababaaaababbababaabababbabbbbabaaaba
+baabaaaabaabbaaaabbababbaaaabbbabbbabbabaaaaaaabababbbbaaaaabaaaba
+babaabbbbaaababbbbbababbaaabaabaabaaaaaababbbaababaaabaababababbbaabaaabbbaababbabbbabbab
+bbabbabbaaababbaaaaabbbbbaaabbbabbbababbbaaabababaaaaaabbbbabbaaaabb
+abbbbbaabbbaaabbaabbbaaaab
+aaabbbabbaabbaabaaaaabababbbbabbabaabbbb
+bbabbbaaaaabbbabbaabbbbabbbabbbabbbaababbababbbaabbbbaabaababbabaaababbbabbaaababbbbbbbaaa
+abaabbbaaabababbbbaaabaababbbbabbbaaaaaaaaabaaabbbbabbbaaaaaababbbbabbbaababbbbbbbbaaabaabaab
+aabbaababbbabaababababaabbaabaaabaabaaaabbaaabbbababbabaabaaaa
+abbbaabbbbabbaaaaabbbbbbbababaabaabaaaaaaabbbbbbbbbababaaaa
+babbabaaaaabbabbaaaababbbabbabbaababaaaaaaabaaabbbaaababbabbaaaabbabbb
+baaaabaaaabaaaababababbabbbbbaabbbababaaaabbbbabaaabaabbabbabaababaaaaaababbbaaaaabbbbabaababa
+ababbbabbbbabbbabaabbaaaaababaabbaaababbaabaaaabbaabaabaabbaabbaabbbba
+aabbaaababbabbaaabbbbaabbaaabbbaaaabbbbbaaaaaaabbbaabaaabbaaaaaabaabababbaabbbbababaabbbbba
+abaaabbabababaaaababaababaabaaaabbabaaabbbabbbbaabbbbbaaababbbaaabbbba
+babbabbabaabbbbaaababbabbaaaabbb
+babbaaababbaaababababbbbababbbabbbbababbbabaababaaaabb
+babbaaabbaaaaaa
+baaaaaaabbabbbbbaababbbbabbbbbbaaabbabaabbbaaaaababababbbabbbbababbabbabbaabbba
+bbbaaaaabaa
+aaaabaaabaabbaababababaabbbbbababbaaabbbbabaabbbaabab
+abaabbaababbbbabababbbabbaaabbaaabbbabaaaabababbaabbabaababbbaababbaababbbbaab
+abbbaababaaaabaaaaaaaabbbaabbabbbabbbaabbbabaaaaabbaaaaabbaaaab
+aaaababababbabb
+babaabbaaaababaabbbbaabbbaaabbbbabbbbabaaabbbbbbb
+abbabaababaaaaabbaaababaabbbabaaaaaabbbbabaabbbaababbbbabbb
+baabaaaaababbbbbabbbbabbababbabbbbabaabbbbbaaabaaaaaababababaabaaabbaabaaabbabbbbbbaabbbaababbababab
+ababaabaaabbabbabbbaaaaaaaabbabbaaaabbaabbbabbaabaaabaaabbaaababababbababbababbab
+aabbabaaabbaaabbaaaaaaababaaabbaaabaaabbbbbababbaaabbaaaabbbabbbabbbbbababab
+babaaabbbababbbaababbabaababaaaababbbabbaabbaabaaabbbabbbbb
+babbabbbbabaabbaabababbaabbbbabbbabbaaabbbaababab
+abbbaabbbaa
+babbaababbabbbabbbbbabbbaaabbbabbbbbaabaaabababababbbbabaaabbbabaabbbaaaababbabababbbabbaabaaababbbbbba
+abaaabbbbbbabbbaabbbbbababbbbabaabbbbabaababababbabaaabaaabbabba
+babbabbbaaab
+bbaaaababbaaabbbbabaabbaabaaaaabbbababaab
+aabbbabaaaaabbbbaabbbbbaaabaabaaabbababababbbabababbbbbaabbaababaaabaabaaabbbababbbbabbaaaaaabaabbbabbbbaaa
+abababaaabbbabababbaaaababbbbbbaaabbabbbaaaaabaaabaaabbabbaaababbaaabaaaaa
+bababbaabaabbbbabaaabaaaaabbbaaababbaaababbbaabaaabbabaababbbbabbbabbabbaa
+bbaaabbaaaabababbbaabbbabbbbb
+baababababbaabbbbaabbabbabbbaabaaaaaabaaabaaaaababbababababaaaba
+baababbbababbbabb
+baabbabbaabbbabbbbba
+bbabbbaaababbbabbbabbabaabbabbbaababbbaaabbbbbaabbbaaabaababaaaba
+aabaaabbabbbbbababbbbbbbabbbbbaa
+bbbbbababbbbaaaaababbaabbaaa
+abbbaabbaabbabbbbbbaababb
+bbaabbabbbbabbaabbaabaaaaabaababababbbaaababaaabbbababbbaaaaaaabbbbbbaaabaaba
+aababaabbabaabbbbbbaaaabaabbbaabaaababbbabbbaababbababa
+abbabababbbbaabbaaa
+babababbababbbbabbbabb
+bbbbabbbbbb
+babaaabaaabbbabbabbbabbbbbbaabbabaaaaabaaababbabbbbbbaabaababababbaaabbabbbbbbbaaaaaabbaaaabbabbb
+aaabababbaaaabaababbbababbb
+baabbaaaaabbbbbaabbaabababbbbbbbb
+bbabbaaabaaaaaaaababaaaababaaabbaabbabaabbbbaaaaaaaabbbbaabbaababaabbbaabaaabbabaabbabbbbb
+aabbbbbabbabbaaaabaabbabaabbbbabbbabbbbaa
+bbbaabaabababaababb
+bababaabbaaababaaaabbabababbbaabbabbbaaaaaabaaaaabbababababbaabbbaabbaabbbbbbaaaaaba
+ababaababbaabbaabaabaabaaaabbbaaabababbbbb
+bbbabbbbaabaabbbaaabbaabb
+baabababaabbabbaaaaaabbaaaabbaabbaabbabb
+aaabbbabbbbaabaabbbaababaaabaabaabaababbbabbabbbaabbbbbbbaababbbababbaaaab
+ababaaaabbaaaaabaabbaabbabbbb
+aaaaabaaababbaabaabba
+aababaaababaabbaabbbbaaabbaabbaaabababaaaaaabaaabbbbabababbbabbbbaabbabaabbbabaaaaababbaabbaaabb
+aabbaababaaaaaabbbaaaaabaabbbaaabababbbaabbbaabba
+aababbababbbaaabbaaabbabbaaabaaabbbbbbbbabaabaababaaaabbabaababbabbbbabbababbaaaabb
+babbaabababb
+bbbbbabbaabaaaaabaabbbbaababbbabbbbbaabababaababb
+aabbbaaabbbabbaaabbabba
+aabaaababbbaaabbaaaaabbbabbabbbbbaabbabaabbaabaabaabaaababaababbbbbabbabbbbababbaaabbaababbabbaaabbaaaaab
+aaaababbbaabbbbbabbbbbbbbabaababbabbabbababbaabaabaaaaaaababababaaaababaaabaaabaaab
+abbabaabababbaaaabaaaaabbabbbabaaaabaabaabbbbaaaabab
+bbaababbabaabaaaabaaabbbababbabaaaababaababbaabbbbabababbbabaaabbbabbbaaabbaaaabababbaabaabaabaaaababbabbbbaa
+abbabbbbbbabbbaabaababbbbbaaa
+bbbbaaababaaabbaaab
+aaaaaabbababbabaaaabbbbabaaaaaaabbab
+aaaabbbbbaa
+abaaaaaaaaababaabbbaaababaaabbababbbabbab
+bbabbbbbabbaabbaabbaaa
+baabbaaabbbaabaaaaaaaabaaaababaababaabaababbaaaab
+aabbaabaabbaabbaaaabaabbaabbaaaababbabaabbbbabbbaabbabbbbaaaaaababaaab
+babbabbbabbbbabbabbabbbabbabbaababbbbbaabaabbbaaabbaaabaabb
+baababbaababb
+bbabaabaababbbbbbbabbbaabaaaab
+bbbaaabaaabbaa
+baabbbaabbabbbbbbbbbabaabab
+abaabbbaaaaababaaabbbbabbbbbabbaabaaaabbbabbabbbaaababbaaabb
+bbbbbbbabbbababaabbabaabaaabababbbbbabaabaaaabbbaabbabababbaaabbbbaaaba
+abaababbaaabbbbbbabaaaaaaabbbbbbbaaaabbbabbbabaabbbbabbbabababaaabbabbbabbaaabaabababbbaaabbaaba
+aaabababbbbaabbbabbbaaaababbbabaabaaaaabbbbbbabbbbbaababbabbabaaabbbabbaabbbbbaaaaaabaaaabbbaabbbbabbbbbbab
+bbbaaaaaaaaaaaaaaababbaaababbbabbaabbbababbababbbbbabbbabbbbaaabbbbabbabb
+bbbbbbaabbaaababbabbabbbbaaaababaabbbbbaaaaaaababbbbaabaaababbabbbabbbbaa
+bbbaabbbbbaaabaaaaabaaaaaabaaababaaaababbabaabbababbabbaabababbbababaa
+bbbbaaaaaaabaabbbbabbaaabbabbaaabaaabbbbabbabbabbbabaabaaaabaabbabbababbbabaa
+baababbbabbbaaaabababaabbbababbbaabbbbaa
+baabbbaabbaababbbabababaaabbaabababababaabbbbbbabbabaabba
+abaaabbabbaaabaaabbb
+baabbbbbaabbaababbabbbbbaaabbbaabbbaaaaabbab
+baabaaaabaabaaababaaabbaaabbabbbabaaaab
+aabaabbaababbaaaabaaabaaabababababaaabbbaabbaaababbabbbbabbabababaaaabaaabb
+ababbaaabababbbbaaababbbaabbbabaabbbbabbabbabbabaaababaabbaa
+abbaaabbabababaaaaababbbbbaabbba
+bbbabbabbabaaaabbabbbaaababbbaababbbba
+abbbaabababababbbaaababaaaababbaababaabbbaaabbaabababaabbaabaaaabababbbbbbaaaa
+ababaababbbabaaaabaaabbbaaabaaabbbbbbbaababbaabaabbaaaaabaaaaaababbbaabbbabbaaba
+aabaaabaaaabbbbbbbabaaabaa
+baaababbbabbbbbabbbbaabaaaaaaaabbabbbbaaababaabababbaabbbbbbbbaabaaaabaabbbabaaaa
+aaabaabbbbbbababbaababbaabababbbbabbabb
+bbbbbbabbabbababaaabbaaabaabbbaaabbaabaababbbaabbbabaaabbbaabbbaaababbbbbb
+bbbaabaababaababaaabbbbabbbbaaababbbbbbbaabaabbaabbaaab
+babababbbaabaabaababaa
+aabaaaabaaaaaaabbaaabbaabbbbaabbbaaaababbaaaaab
+bbbbabbbabbabbabbaaabaaabbabaabbabbabbabbaabbabaabbbba
+abbbabbaaabbbaaaa
+bbbbbabababbb
+aaaaaaaaabaaaaaa
+aaaaaabaababbbbbbaaababaababbbaaa
+bbaabbbbabbbabbbababbbaaabaababbaaaaabbbaaaaaaabaaaaaaaaaab
+bbaabbbbaaabbbabbbababababbbabbaaababbbbbbabbbababaaabbbabababbabbabbbabbab
+bbbabaabbbaababababbbbbababaaaabaabbbaabaababbaabbbbbaaaaabbabaabaabbbbabbbb
+aaaaababbababaababbaabaa
+bbbbaaaaabaaabaabbababbaaababaabaababaaaaabbbabbbaabaabbaaabbbabbbaababbbbbabbbbaabbba
+babbabaaaabbbaaaabbbbbbabaabbbabbabaababbaaabbaaabaaabbaaaaabaababbaaaaaabbababaabbbbabaabaaaaaabbaaababb
+babbbaabababbbabaabbabbaabbabaaaabaaabbbaaabbbbaaabbbbaaaaabbaabbbbaabbaaaabbbbabaaabbabbababaaabbba
+baaaabbaabbbaabaaabbabbabbbbbbabbbbaabaaaabbaabbabaaaab
+abbbabbaaabababbbbbbbbbaabbbbbababbaababbabbbabaabbabaaaaaaababaaabaaaaaabbbababaabaaabbaabbabaabbbbabbabbb
+aababbbaabbabbbbbbbabbabaaabbaabababaaabbabababaababbabaaababaaaabbaabaababababbabbabbabbbbababaabbaabaaaabba
+baaabbbaabbbaabbbabbbbabbaaaabbbaaaabbababab
+bbbbbbabaaabbbbbbaababbabbaababbbabba
+baabbabaaabbaaaaabbbaaaabaaabbbbaabbaabbbaaaaaaabbaabbabbabbaababaaaaabb
+ababbbbbabbaaababaabb
+abbbbaababaa
+abaaaabaabbbabbbbbabbaaababaaabbbbbbaaaabaabbabbabbaaaabaaabbabbaabbbabaabbabbbaaaabbbbabaabbbaabaa
+baabbbbaabbaaaaaabaaaabbbbaaaababbbbaba
+bbbbabaaabaabbabbaabaaabbabbaabaabbabaaaabbaaaaaaabbbabbabaaababaababa
+abbbaabbbbabababababaaaabbababbbaaaa
+babbababbaabbabababbabaabbbbabaaaaababbaabbaabbabbababbabaaabbabaaabbaabbbbbbabababaaabbbbabbbabba
+baaaabbbaaabbbabababbbbabbbbabbababbabaaabbabaaab
+abaabaaaababbbbbabbaaaaabababaaaababbaabbababbbabbbabaaabbaaabbbbababbaaabbbbbbbabbaaababbbaabb
+abaaabbabbbab
+babbabbaaabaabaabbbabbaabbaaaababbbbabbbbbabaaabbabbbabbbbaaaabaaaababaaaaaabbabbabbaabbbbbaabbbabbaa
+aaabbbabbabaaabaaabaaaaaabbaaaabbaaabbabbaaaaaababbabaaaaababaaababaabba
+abbabbabbaaabaaaabaaaaabbbb
+bbaabaaaabbabbbbba
+aaaabbbabaaaaa
+babbbaaaabbbaabbaaaababababaaaaaaabbbbbaaababbaabbabaaababaabaaaabbbaaaabbbabaaaabaabbaaabaaabbabbbaaba
+babbaaababbabbaaababbabbababaaabaaaaab
+aaabaaaabaabaaaaabbaaaaabbaaaabbbbaaaaabaaaababaabaaabaabbbabaabbababbbaabaabababaabbabaabbbabaaaabaabaaab
+babbbbabbabaaabbabaabaabbbbaaababbabbbbbbbabbaaaabbbbbabbb
+aabbaabaaabbababbbbbaaabbbbbbbbababababbbbbabbaabbbaaaababbabaabbaabaababaaba
+abaaababaaaabbbabababbbaaaa
+abbbbaabbbabbbaababbbaabbbbabaaaabaaabaabaaaabaabaaabbbbbbbabbababaabab
+baaabaaaabbabaab
+abaabbaaaaaaababaabaaaabaabaabaabbabbbbaaababaaabbbaaabbabaababbababaabbabaabbbaaaaabbbbbaaabbbbbabaabaaba
+abaaabbabbabababbbbabbbbbabaabaaaaabbabbbbaaaaaaabbaababaabba
+aaaaaaabaabbaabbaabaabaabbbaabaaabababbbaaaaabb
+aaabbbaaabaababbbababababbbbaaaa
+abaaabbbbabaababbbbbaaaabbbbaababbabbbabbbbabaaaaababaabaaaaaaaababbaabbabaabbbbabaaaabaaba
+babaaaabbaaaabbbbbaaabbbbbbbaababaabbbbabbaaaaaabaabaabbaabaaabbbaabaabaaabaaaababbbbababbaabbbbbabbab
+ababbbaaabba
+bbbaaaaabaaaabbabbbaaabbabaabbbbaabbaaaaaabaabaabababababbabbaaaaabababbaabbbabbbaabaa
+ababbbabbbaabaabbbaababbaaabbaaaababbbabbabaaababbbabaaaaababbabababaaabababaabababaabbb
+babbaaabababb
+bababaabaaaaabbaaabbbbaaaaabaaabaaabaabbaaaaabbbaabababbabbbbaabaaaaababbb
+bbbabaaabbabaabababaabaaabbababbabbabbababaabbbababaaabbaabababababaaabbababaababbbbabaabbbbabbbabbaaabababa
+aabbbbaaababbbaaababbbbbabbbbaabbabbbbbbaaaabbbbabbabaabbabbbbaabbbbbaababababbabbb
+abbbbaaaaaabbaaa
+abaaaabbbaababbbaabbbbabaaabbaababaaababbbaaabbbaaaabaaaaa
+aabbbabbbaabbbaabaabbbbaabbabaabbbbaabbbbabbabbabaabbaaaabaa
+baabbababaabaabbbababababbaaabbaabaaaabbbaaabbbbaaaaabbbaaabbbababbabababbbbabababbbabbaabb
+abbbbabaababaaabaaabaabbbaababbbbaabbabbbabbbaaabbbbaaaaaaaa
+abaabababbbaabaabbabaaaaaabbaaabbabaabbabbaabaabbbbbaabbabbabbbababbbabbaba
+baaabbbaabaababaabbbaabaaaabaabbbababbaabbbbabaaabbababbbbaababaaababaaabbabbaabbabaababba
+aaaaaaaaaaabbaaabbbbaaaabaaaaabaaabbabbabababababbbbaabbabbabaaaaaa
+bbaabababbaabaaaabbbaaaaaababbaabbababbaabbababaabbbbabaabaa
+bbabbbaaaaabbbbabbabbbbbaaabababaaabaababaaaabaaaaabbbbbbaaaaabbbaaaabbbaaaaabbbbaaaaabaabbaaabbaabbabbbaabaa
+abbbaaababbbabaaaaaaabbaaaaabaaabbabaabbbaaaaababbbbaaabbababbabaaabbaabaabaababababbbabaaaaabaaabbabb
+abbbaaaaaabbbabaaabbababaabbaaabbaba
+baabababbaabbbbbbaabaaabbabbbababaaabbaabaababbabbabbaaaaaabababaababaaaabbbabbba
+baaaaaabbabbbaaababbbaaaaaaaa
+babbbabbaababaabaababbbbaaaabbbababbbbbabbbaabbbbbabbbbabaababaaaaaaababaabaaabbaabaaabbbababaabbabba
+aaabaabbabaababbbaabaaaabbbbbb
+babbbaaaaabaabbbaabaabaaab
+bababbabbbbabbbabaabb
+bbbbbabbbbbaabbabbbbbbaabaabaaaaabbaa
+aaaabbbabbabbbaabaaabaabaabaaaababbabbaabaaabb
+bababbbabaabababa
+abbaababaaabbaabaaabaaaabaaabaaaabababaaaaaabbbbaaaababaababaaaaabaabbabbabbbbababbbbbaaaababbaabaabbbb
+bbbaabbbaaabbaaababbbab
+bababbbbabbabababaaaabbbabbbbbabbaabbbbbbbbbbaababbbabaabbbbbbabaaaaabaaaabaabaa
+aabaaaabbaabbbbbbbabaaabaaaaababa
+baaaabbaabbbbabaabbaaabbbabaaabaaabaabbbaaaaaabababaaaaaabbbbbabbabbaaaaaabbabbaabbaaaabbabaabaabb
+ababaabbabaaaabbabbabbbbbabbbbbabaabbabaabaaaba
+aaabbaabbaaababbbbbbaabababbbabbabaabbbbbaabbaababbabaaabaabababbabbbbbbabaaabbbaba
+abbabaabbbaababbabaa
+ababbbbbaababbbaaabbbaababbababbabaaababbbababbbaaabbabaabababababbbabbbaabaabb
+bbaaabbbbaababbaaabbbababaabaaaaabbbabbbbbabaabababbbabbaaabbbaaaababbabaabbbaaabbabbaaaababbb
+aaaaaaabbbbbbbbbaaabbaabbbbbabbbabbbbbbabaabbaabbab
+abaabaabbaaaaabababbababaababbbbaababaaaabbaaab
+bbaaabaaabbaababbbbbbbbbbbbbabaabbbbbbaabaaabaabaabbbbaaabbabbbbbaabbabbbbb
+babbbbbbababbabaaaabbb
+aabbababbbabbaaabbabbabaaabaabbaaaabbbaabbbabbabaabaabbbaabaaaababaaaaba
+abaabbbabbbbabbabaaaabbbabbaababbabbababbabbbaaaabbbbabbaababbbbaaaabbaaabbbbbbabbaababbabaababbaabb
+bbaaaabbbbaaaaababbabbbbabbaaababbabaabaabbbbaabbaabbbabaaababbabababbbabbbaabbababbbababbaaaababbabbab
+bbbaabbbabababbbaabbbaabaabaababbaabababbbb
+aabbbbababbbbababbaaaaaabbbbababaaabbaaaababaaaabbbbaaabbbb
+ababbaabaabbbaabbbbaaaababababbbabbbabbbbaabbabbaaaababbbbababaaaababbbaabb
+babaaabbbaaaabaa
+abababbbabb
+abbaabaabababaaaaabbbaabab
+aabbaababbaabaaaaaabaabbbbbbbbaabaabbbababaaababaabaabbbb
+baaaabababaabaababbbaabbbbbbabaaabbbbbbabbbabbbbaabbbbbaaaaababbabbbbbabbbbaaaabb
+abaabababbbbbbbabbabbabbaaaababbaaaaaababbaabbaaaabaabaabaaabbbbaabaaaaabaababb
+bbaabaaabbbaaabbbbbaabaaaabbbbbabbbbbbabaababbbabbbbabbabbaabbbaabaaaabaaabaaaabaaaabbbbaaaabaaabbabaababbba
+baaaababaaaaabaabaabbaaabaaabbabbababbbaab
+abaababbabaababbbbabaababbbaaaabbabbabbabbbbabababaabbababaaaa
+abaabababbbbabbbbababbbababbaaabbbaabaaabaaabbaaabaabbaaaba
+217 203
+caccbabcbcaacbcabbbabbaabccccaccbcbcccacabaccbaacbbcaacbcacacccb
+baccbbbacbbacaabaabc
+caabcbbaaabcaccacbcaaabcabaaaabccabbcbcabcccabbbcacccaaabcbcbcaccccbabbacaaaacbcbbbaacbbaabaccbabcabbcabac
+ccbabaabcaabbccbbacbbbbbcbbbcbcaccbcabbaaaacbbccccccabccca
+bbcbbabccbbabcbabacbcbcc
+baabbcccacababbcaaacbccaabbcbccbbbacbccb
+acabacccbccaacbbabbaabcabcbcccbcccb
+bccaccbcbcaacacaaccabbcbaccaccaabcbbacabcaccccccacbabcacaabbbbbbaabaccbcbbaaabbcbbcbcbbbbbcababaaabbca
+ccbabbacbccbccbcbcabbbbcababaabcbabccacaccbbabaaabbabbbaabbabccacbbabbaacaaacb
+cabacabaaaacbccbbcaa
+acccaccacbcacabbbcabacccabcbcbbcbbcbbabbabcacaaacaabaccabcbaacbababbcaaccaaa
+cbbaabacabacbcbacbcaababbbcbbbcccbcaba
+bacababbaaab
+abbaabbccbcbacccacacaacacacbccaacbcacbc
+caacbaaabbbabbacbbabaac
+acbccbcacabbbccabacbbbcbbccacbcab
+ababacaaaccbcacababacbbaababbbbbbaacacacccaaccabcaaaabcbcabbaccacaacbbabbcccbacccacabacacabababacb
+bcbcbbbabcbbaccaccccbcbcbbccbcbccbbacbaccccacbcaacccccccbcabbaaaabcba
+cabcccccbaaaacccac
+aaaaccababccaaaaacacaabbbabcbccac
+bacabbacacabbabacacabacbacaabbbbaccabcbcaacc
+cbcaccbccbbbaaccbbbbccaaaaccbabaabbcbbabacacacbccbbb
+abcccbaabbbcb
+bbcaacbcac
+abaaabcabccbabacccaacbccbbcaacbabbacabcaabcbaaccccbbabc
+cbabbcbbccabacacbacbbacbcbabbcbcbccbcbcaaabacabcababaabcbcbbaccbcbacbabcbbac
+bacbbcbcacbcbcaccaccacbbcababccccbaaabaabbbabbbcbbbacacaaacca
+bcacacabbbbbabcbbbabbccbaccbcbaabaaacccbbabacacbabcaaaaccabccbacaaccaaabbabacbbaaaccaccbcccbcccacaabbccccbabc
+ccaccbbbcbcaabaabbaaaacbaacaabbbcbcababcbbccc
+cccbacacbbacbbbacbcccacbcbcbacbbbbbbccabbcaabcbbbabbbbbababbbbbbbaaaabcacbbcbbbacbbaabcbbbbbbbccbabccaa
+cccccababaacacccaaccccabb
+acabcbacaabbbbbbcbacccaccbaabbccbccccacabaacbaacccaacabcbaccccacbaabcaaabb
+abbaaaabbcabbacbbbbaabbbaabbacacacabacbaaaccaaaaacbaabacbbcbccacbbb
+cabaabbacabbcabacbbcaccbcabbbabccaabbcccaaccccbaabaaabaccabbabaaabaabcab
+bcabbacabbcccaabcacacbaababccacbc
+bbccacccaabbccbcacbcbbcacbbccacaaabbcabbabbcbabaabcbaccbcbbcbcabcbcbbabbcbbbb
+aaacbbcbaabababbaaabccbcccbbbacaabacbacbcbbabbbaccaccacaacabaabcccbbcaaabacbbbcbabcacacbaaacaccc
+caaacccacaabcbccabaabcbbcaacccbb
+cccbacccbcaaccbbcbbbbbcacbbbaacbaabaacccabaccbcccacbcacbbabbaabbaccbbcbaabbbcacabaacaccaabbacbbbabc
+acaccbbbcaccbabcbcbbcaacbabccbccacb
+bbbbcbcbcacabcbccbcabccbbcbcccaaaaaccbccaccaac
+aaaaaacccbbcbabbccbcbbaacbacaabccacabbcbacaabccaabbccbbbab
+baabbcaaaccaacccaabacaaaacaaabbcabacbaacbaccab
+aabacbabbabcbbb
+ccaabaabaabbcbacbaacacccca
+ccabccccabbcbaaacccabcaababcabbaabba
+abaccccbaacbcbbbaacaacbaaaaaabbacaa
+cbcbccbbaccaccbbacbabaccbacabcbbbcbcbbaccccba
+bcbaccababbbaaaabbbbcacbaacaaacbbbcbccabbaacbcaaabbacbabcaacabacccbbbacbaabbbcccbaacccbbcccacbbabacacaacaacac
+aacacabcbaaaaaacbacbbaaaaabcabccabcbbcaaababcbaabacbccacaccaacbbaacbbababccc
+aaaabccccbaccaacaabbbccabbaacabacababbabccbbaacbcbaabc
+accaaababbbcaccacaabcabcccbacabacacabacccbcbabaaabcbcba
+bcccbacbab
+baccaabbacbabbbcbbacaaaaaccaabaabcaabcccaccbbccbcccabcaaba
+abacbaacbbcbacabbabbaacaacaabbabaacbcacaaaabbccabbbbbbbbcaabaaabbbbbcacccaccbbccbcaaabbba
+ababaaacbacbabababcaabbaaacbcbbbcaccacacbacacabccccbaabaacacbcaaabcbccbcbcaaaabcaaacbca
+bbccccbcbb
+aacccacabbcbaaabacbcbcbacaaaabccbcaacaaaaacaabacbaaaccaacbcbacac
+cccccacbaaccaaacabbacababbcaaacabbaabaccabbaaacabccacccbabbcbabaababccbbcbaabc
+cccaaaccbcabaaacbcabaccabcccc
+accabccbbcbbcbcabbabbabaacaccaaaabcabaabbbcbcbbcabbccccbccaacccabbbbccccacabbaaaa
+cabbbccacaacaccacacbabbccbbbabcbbabab
+acbcabacabbcacabbcabccbacbccbbacccaaa
+cbaabbbaaaaccbcbaacacaabbbccaaaabacccaccbbbaccbababcaabbaccabccbaaccbbcbabbcbc
+bbcbaacaaabaacbcbbcaabcabbabaaacbcacccaacbaabcbbbbabcbcaaacabcbbacccababcacbbcbcbbaca
+aaccabaccbcbcbcbbcbcbabcacacabbcbcccabaacaa
+ccccccaaacaabaccbaacbccccccacbcbaabacababbbbbcbbbbacbacabcbaaacacaacac
+cacacbabccbbcbcaccbbcbbbbcabcbbabaabbccb
+aabbbaabbacbbaccbbbbacaacbcbacaabbcbcccacbacacaaaaacccacabbcbbbaabbcabbbbacbbcbbacacba
+baabbaabacabbbcbcabccabacbbaabacababbbbbbbccacbababcbbcb
+bbacbabcbcaabacabaaaaccccbabbcbcaabacbbcbaccaacabbbbbbaabbbbbbcb
+ccbacaaaabcacaaccaccbbbbacaccacbcbbbbaaaaaababbccbaaabbbcccabbbbacbbbcccccabbbbb
+ccabbcbcccaaaacbbbabbccabbbcbbca
+bbaaaaabcbacaaababbbbbbcaccaabcbbbc
+ccacabcbbbbbacccbbcabc
+baacbbaabcbacbccccccbcacbabcababbcbacbaaccccbabcaacbcacbcccabcccbbccaacacbccbbcccbacacbccaacccaabbaac
+cbcbcbcacacbccbbcaccbcaacacccccaacabcccbaaacacbbbcbbacccbaaaccbbababcccabbbaababacabccaacbccbbbaabcab
+caaababbccbbaabcca
+bbabacbbbbabbaacacccbaca
+cbabcbccbbccbcccaccbcbcbbabcccccbabbcccacbacbbabcacbcaaaabccccaacaaccbbbaaccbbabbaaccbabaaccacaacbaaaaccaaba
+bcbacaaaabbbaabcbcabbcccaacabbcbaccbcaabbabababbbbcacccccbcaaaacbaccacbbbaacccccababbcbcbaacbccbbaaa
+ccaababcbbbaccaababacbbcbcbbcaabccccccabbcbcabacabacaaca
+bbbcbabbcababcacbbaaccc
+cbcaaabbccababbcbbaacbcabbccababacbacbccbcbbbbaaabbcaabcccbcbaaccaaacaaaacbccaaacac
+bccacbcbcaaacccabacbabcbcaacccbabaccb
+acbbabcbbbaacaab
+bbcbcaaccaaaccccbaaaababcabbbcbbbccbaabbbacabcabacabcbb
+accaacbacbbaccbccbcbcbccbccabacccbaccbcaabaaabbccbbbcccbababababcbcabaccccbcabaaaabbb
+bacabcbbccbcc
+abcacbcaccacbbbaabbaccbbacbbaaacbbcbcabaacaabacacbbbbcaacabcacaacaabbbb
+abccbabacacbaaaabbbccaaaacbbcacabcbababacca
+bcaaaabcbcabaaaaccccbaacb
+bbacaccabbbbbaabcbbccacacccaabcaccbccababcbccacb
+acbbaababbbbaccacabcbbabcccbccbacbacacabbccbaacbabcacaacaccacaacbccacbcccacccbacbacbccbabbcacbcbaabbacabbcb
+bacabbbaaaabbccaabaaba
+bcaaacbbccaacaabaabaacbcacaaaccababbbacbacbababccbbccccabbaccacbabcbbbaa
+bccbaccbbccbbaabcbaabbaabbbbcacbabbbbcaabbaba
+cacacbacccbbaccaabbbcabbbbcbabbabcacaaacaaaabccb
+caaabacacacaacbcacccabbcbccccbbaaccacabbbcacbabbbbaaacacabaccbbacabcbcbccbbcbccaacacbabcbcbacabbaccaacaa
+abaabbbccabbcbccacababaabaacaaccbcbbbccbcababcbacaacaacabb
+acbaaaacaacbcaabacbaaaccbccbbbccbaaaccc
+bcccbbabcbcaccccaccbaacbccbaccbbcccbbaccbaabbcbcacacbab
+bcbabcccacbbcbbabaabababcccabbbbcbccbbccbcaaabbcacccbcbcaacccbbb
+aaccaacaaacbaaabaaacbcbcacbcacababababcbcaacccbaaccca
+bcaaaabbabccbccbbcbbcccaaaacccaaccbbbabbaaaaccbcacbacccbbcacabcabacbbabacaccaccbabaabbabc
+cbcccccabbb
+ccbbbccaaacaabacabbcbaacbbaacbbcacbaacbbcbcbbccbabbcccacbbbabaabbbacabcbabcbaa
+cababbccabcbaabbccbcccccbcccccacbacbabacaccabccccbcbababcabbccaabbccccaacbabcabcbbaabacbaaa
+bccacbacacbacccacbaaaaaccbcccaab
+baabbcbaccccbabccacbbcaaabaaccccbcacabcbbbabcacababbbbbaccbccaa
+caaababcccacbbcbaabc
+bacccbbbcbacbbacbcbbaabccabbcbaabccbabcbcabbcbcbbaaaccaacaaabaabbbcaabbacaacbaaccababcbbccbabaabbbbcaa
+bccaccbacaaabcacaacbbcbbabbbbbcbbbaabbbccaaabbbccccaccccccacbcabbacbab
+abacccabbaaaabcbccaacaaccaccccacaabcbbbbccaabbaabcabbacababacbacbaaacabbbaaacabbacaacbaab
+bbabacbcaaaabbcabacbbabcbbbbbacbcccbabcbbbbbbbcaccaacbabbaaccabbcbbabbabcaaabbcbbbbaabccbbababcbacbaaccbbac
+caaacabccbabbbaaaabacacbbbccbbcacabbccbabacabcbcaabbbcacaccaacbcccccaaccccccbacbabbcaacabcaababbca
+cacaaaccbccbbbbabbabacaacbacbaccacaabccbaacbabacac
+bacccacbabaaaacccbabcabcaccacbbabaababcacbacbcaaababbababcc
+baaacabcabcbbacabaacbbaaccbccccacbaabbbababbbbbcbbabaaccabbaaaccbaacaacabcabc
+cbbbbccbcccabbabcbbbcbacccaabcbbbbccabbcacccbaabcccccccccacca
+ccbbcacaaaaaaabaccccbbcbbcbbabccabbaaccccbbcaacbcbbbbcbacbaaaabcccaccbbcaccacbcaacaccccbbcaaaabbbacbbacb
+babaacacabbccb
+aabaacbbbaabccacbcccbbbbcababaababaacccacababaaccca
+bbabbcbbbbacccabaacccbcbcaabbcabcbabbcbabababacbccacabbbbcacccaabcbcb
+caccbcbaccbcbbcaabcaccaacbcbacabaaab
+aaabacccbaaaacccbacbbaacabacc
+abcbbbbbbcaaabcabcaacccccabcacbaabccbccabbabcbbbbaaaabbacbbbba
+acababcbbbaccccbbbcbcbacbaccbcbbbcacbbbbbabaabcbabaccccabbbabaaaaaccbaccbaacccbbbcbacaacababcbcbbaacaabbbbb
+caaacbbacbbbaacbbcaaccacbccaabaabbbaccccccabcbbbcbbcaaacbacabccbabbbaaabaabbccccbcacabcbabbaacbacabbbccaabbac
+ccbbcbbcacbcbbcabbccaabbabccccabacabacaabcccaacaccbacbcbbcbacabbcacbcaacbaaacccacbcabaccbacbbcaa
+abbbacbcbabacacbbacccccbacbbacbbcbbbcbabbaacbabacccbaacacabbcbababbcaaabbccccab
+aaacccbcbbaaaabcccbbbaacaacbabccbabaccbacbbbbbaacbbaaabacbaabcacacabbabbcacbaacacac
+abbaabbbbbaabbbcbcbbabbcabacbbccbbcbaabbbbcacbcaacbbbaabcabbbbab
+babcbbcacbcaabcbabcbaacbacbabacacbcaacaccb
+bbbcabcabbccccbbaccbcccabccbccbbccababcccaaaaacbcbccbbccacb
+accaaabccbccccbaaaabccaaabbbaaaaa
+acabacaacacabbcaabcccabcbbcabbcabbbabccacacabbbacccbaccbbbacbcbcaccbcccbbcacabbccaaba
+abccbabccacacbccbcaabbacb
+bccabaacbaacbbaccccabcbccbaabcacccabccbbabbbacbbcbaabaacacbcca
+accbabccccaabbabcabcbbbcbaacbacbbbaccaaaccbabccbbaccbccccccabc
+aaacbcababcaaacccbacbbccabbbbaacccababbbcacbabcccaccaabaaabbbcbbabccbbbbabaccacbac
+bccbbcbbababaabacaaabacacaaacbbaaabbaaacbcaaccbaba
+abaaabbaccacaabccabcaacababcababbcaccbabbaaacccaabaabacabacacbabbabcbaa
+acccbaacbacbbabaaababbcbccabbccabcbc
+abbcaccabcaacbabbbabcbcbbcbacacabaaabbcbaabacccbaaabcbbbaabbacbaacaabbcccbacaababaccbbabbcacbaab
+ccbaabcaaaabbaaccabaaaabbabaccbcbccacaabcccccbcbcccaacabbbbabbabbcbacaabbbaabccabcbaaaaacaaccaba
+aabbbcacacbaabcbcacbccaabbacaaaabbcabccccccaaaac
+bababaabccabb
+bcbcbbbcacbababccbacacccaacc
+ccccaabbcaaabcababbabbcbbcbcc
+bacabcabbcbbbaccbcbabacabaccccabaaccabaaababababaccbccbbcbb
+bcbaacccbbcbcbbbacbcccacbabcbacccaacbbccbabcbabcbbaaccca
+aacabbaaaaaccbcabbabca
+aaaaaccaaccbcccaccbacccbcbaaccababbaaabbacaaabbbcaacabcabccccccabac
+caccacacaacabbcabcbbacbcbbccabcccbabbcbbaaacbcccbabcaaccaccbccacbccbcbbbcacbbbbbcbccbbabbcccbcbcccbabbcab
+aabcbbcccabaaaacabaaccabbcbbccabbcbbbaab
+cacaaaaacaabbbbbcbaaaabbbaaccb
+babcccbbabcbbaabbcabccbbbcabcbabababcbbbcabbbaaaaabacccbababaabcbbbbcaccbababcbcbaacabcbcbaacbbaaaacabbcacba
+bacacbccabbcccacccabacaaabcababccacbbbabbaaaacacaacbccaabbbaabcbbaaacbbacba
+caccccccabbccaababaabcbccbbccabb
+bcaccabbbabbbcccaccbaabacccbabaccccbccbbbccbbbcaacbabbabbaabccaaaabaacaacbcbbcbbacbacb
+aaaacacaaccccbcabccbcababbacccccaabbbaabacaccbbbabccbbaccabbccaabaaacbbaabaaacbcbcacbaaaccbccabbaccacac
+accaabbaacbccacabbccabcaabcaaaaaaababbabccbbbbcbcaabcaabcabbcccabbaacbabc
+cababcabbbbcbbbbcccbaabccaabbbccbbcacccbccacbacacaca
+babbbcbbcbcbcbbbacbbacbccacbaabcabbcabbbaacacbbcaacbacbabcaacbcacbaaabbaababccbababcbbbabbccccaccb
+bacaaaacbacaccbbbaacabcaaccabbcaaccbacabbaacbacaaacacccbaaacbcaa
+accbcacbabacabccccaabbbacbcbbaccaccaabccc
+cbaccaccacccaabcbccaabaacbccccbcabcbccabbabacccabbbbbbbbbaabbccbbb
+bbbbacbbab
+accacbbaccaacccabbaacaaabbbcbccbccaccbcccbaccaabccbbacbabcbbbacaaccbaccccababcba
+ccbcbacccaaabcaacbaacaabbacbaabbaaabccabbbbccacacbaaabcbcacabcc
+ccbbcaacaabbaaababbcbbccbccacaacabbcbcaaaaaababcaaccabbacbcacabccbbabccabccacacacac
+bbcbbacacbbcbabbbaabbbcbbbbacbcbacaaccaabccbabcbbabbccccbabbaacacaabaccaaabbbbaa
+cbbcbabbcbcacaaa
+baabbbbccbcbcbccaabbcbbcbcbbabbccabababbcabbbbcbcacacbcabcbaaaccbacabbbbabbcaaabb
+ccacaaacbacaaaccabcbcbbaaacacbcccbcaaacaaaaabbcaababbcccabacb
+bbbacbbbbbabcbb
+aabaaaabcaacbbcbbcacacccaabaabbabaaaccaccccbccacacccbcbbbbababacccbccbacaccabbaacaaaccabbbbaaabccc
+aabccbaaabaacacccabaccbbbababcacacbcabcbaaacaccaaabacbcbccabcbbacbbaaabbccabccccacaababa
+bbaccbacbacbbbcaaacaabbabaaabacccacbbcaabcccbcbccccaacacaacaaccbbaacbcaabbcaacab
+ababbbbaba
+ccbabbbbaaaaabccbaccabbcaccaaaabaccbcbbccbbccbbcababbbbcbbbbbbabcaacbabca
+abbaaaacbacbbcccbcbbcbbbbacbabcbcacbaaabacaaccbabbcbccaacbcacaccab
+bacbbababbabacbcccbbcbbbabacbbaaabcacabaaaccaabaaacccccacbbbbbbaccbbcccaaccababaccaabccacabbbaccbaca
+ababcabcbcbbcacaacabcccbccccbbcbacaacbcbcbaabaabbcaaaaaa
+abccbaaabcbbabaabb
+aaacbcaaabbccaabbaaaacccabacccabaacbcbacbabcbbcbbaaccbaccaabacbcaacabcbaaaccbbacacacccb
+abbabbacccbbaaacabcbcacbbbcac
+abaacaccbbcac
+bcacaccbcbcacbacaabcbabaaacaababcccabaaabbccaaccbabacbcabcbacbbbbacaac
+acaacbbbabccbcbcaacccaccaacbaccbaba
+cbaaacccbbbaababbbcaaccacabb
+bbcaabbbbbccccbbbbbbbacbacacaacababbbcacab
+cbababcaabacbcccabbccbbbbaaabbbcabcaaabccc
+bcbbcacacbaaaabcabbbbbacccbbbabcbcaabbbaabbbababbbccbcbcbbabb
+bcaacccaaaaaaccaaa
+baaabcaabbacbcbabacaaacacabaccbbbaaccbbbcbcacbbccbbcbcaabababbbbbbabbbbcabcbccbbcccbbbcaacbcaabbab
+cbccaccacababbacaac
+bacbbcbabbcababcbcaaccabaabaacacbbabaaaaacacaccacacbbccbbacaaaaaabcabcabcbaccabcaacbabaaccbbbbbcaa
+cccbbaabbcbabccccb
+cbaababcbcbbbbaccabbbbbacccbbaacabccabcacccaabbacbbaaacbacccbacbbccbbbbbccaaccc
+cbbbaabccaacccbcacb
+bbacaaabaabcbbbcbbccabaacbbacbaacbbaabacbbbabcccabbaabbababbaa
+aaaabccaacacbbbabbaccbaccccacbcccbccabbbcaababcacac
+cccaabcbccabbbbbccabcbbbacabacbbcaccbcbbababcabbaccbaaccacabbccaababcabcabbb
+babbbacbbaaaaaa
+cbaccbacaabaccacccabacbbcccaa
+baaabcaaaccaaacaacccaaabbcacbcaccabaacacacabacacccccaacaaacbbaccaacbacccbbccccaaaabaababccb
+bacacaaabbaaaabacabbaabcb
+bacababbbcbbaabacbbbbcbb
+bbabcaccabcb
+ccaaaccbcbbacacbccbbabbcccaabccbcaaccbbccbbcccacacccbbbcbbacbbabaaaccbbbcaabcacacaabcbccccacaabcaaacb
+caabbccbaccbbaccbbcabbcbcccaabc
+cbacccbaaccabbbabcacabbaacbaacbabbaaca
+abbabbcbbcabaaacbabaaaccaaaaabacbbccbabaabcaabacacbbcbccabcbbccbbaabcccabbc
+cabbbaacabaacaaacaccabbbbbbacabcabaacbccccbabaabaaacbcccacbcbbbcbcbbbbbbabb
+aaaacbcaaabcbbabaabccbcbacbbabacbabcaabbabaccbbaacacacbcbaacbbbabcbb
+268 261
+bbddbcdccbcccdbcbdbabdbccdacccdbbcaddacdbcacbbdbbadaabcaacaadbddbcabbbacaaddabcdcbcbdabbcaadad
+bcadaadbbdbddacbcbdcaaaddbaadbddccaccbacadcdaaabcacbadcdacccddddacbdcdcacdbc
+bcdbddcaddacaaabddbdacbcbddbbacddccaaaaccaacbaddbbcddabdabdaddbadccaaddabccadddacbcdddaddaadabacbd
+ddabacaabbcbdaabcacddccdadbbddbaaacddbddcdab
+bbcbddbddbbdcbaccddadcacdbabbbdccbdbbcdccdbbcdccacdacdaddcacddcdcddbc
+cabdaaadaddccbdacccddaaadaccab
+ababdbadddcc
+aaccbadbddcabadaabdadaadaabdbdbdaadbccdcbbcbcacaccbbb
+daddccbbbcbcdcdcaddbccadbaacbdbb
+ddddcacabddbcacaaacdacdbbdcdadabadadabccddbcbbbdcaababbabdddabdaddddcdbdcbabdadcacabdbbbcdcbacdbdbcddba
+cdaadbdbcaadcbcbcabbadacacbcaabbdcadcadccbdaddbdcacaadbddaddadcacaadcad
+baaabbdcbbcadbadcdbbcddadcccaacbdacdccccdddbcdbcbddbcccaabdcaadccccacbdadcbdbcbadcbdcdacdccaaacaabc
+bbbdbcadbdbcabccbabcbbbbddcbbdbbaccbbddadaacbcdabbddcdcbbcacbcbdab
+bdaddaabdccacdccbdcdaaacacdddcbaddbbcabcbacd
+dbbdcbbdddcaccbcdbabcddadaccaacbab
+bddcacdddcccadcadcdcddddaccdacadccacbbbbdcbddadbdddbccbaacddbcbcdcbaadbcdcbabbcddadbabccaadcbdbcbbaacadbd
+addcadaccbdddbadbbabddacccdaaccbcabdadbcadddabaaabcadcadcabdddcddbbbbdcacaadccddcabbadcdcccbadcacccdbdab
+bcbcdcaaaadbccbacabddbbbcbbcdbddcbcc
+babdbccaabaccbacddcaaaadabcabcd
+dbbacccddcdbbcbddacdbcccdcacadbabbdcdadacadacdaddbcadcc
+ddbaacbbccaaabadddcbbacbbadbdacaabddbcacddbdbcdada
+cabaccdccdbdbbbdacbdadccadcdbdabdbadaacccbaccc
+abdadaacbcccdaddbcddbbadcbbcbabaddbddaccbdbdaabccaa
+cdcddcaacabbabbdccdbaddcbccacdbabbcbadccdabddaaaacadabbac
+dcaaaddbddbbabbdbaccbaaddbacdbcaddcbcabaadaddadbadabada
+dabbbbabdcdbcddab
+bcdccdbadcacbbdbbdbcbabbcaadadacaabcbbdacadcdcbd
+accaadbccbbbdbddcccbdbaaadbdccaaaaddacacbcba
+abbabddcbdccaaabbbbcbddbaacdbadcdbbdcabbdba
+cdcdccdbbccaabacdadbcabdbcdadbacbaabbababdcacaccdadcbdcabcdabbcbccdcaaddcbcbbaadbbcbaaabdacbbcddabdbdccbccbd
+aacdacdddaadcbdabbacbbddabaddddddaadbcbbaacdaaacaaadacdaddbdaddbaddbaddcadbdbdd
+dcdaaaddcdacadabbc
+dcddcddcbcbbdbdddccddcddbaababbdddacaaddaabbacbbbdcbd
+acbcdbaacacdcaadbcbdcbdcddcacdacdcccadacbbcddcb
+babdcbbdabccaabacabbaaacaacadbadabbbabbccdbccbcbbbdaadbda
+dbbbdacddccabdbbddddcdaddbbdcadcbbdccbdbccbdbcccbabcdaddbadbdbaaadbccaacadccaaacbaadaccdbb
+cbbbdccabacaacdabdabbcdabbbddaacacbacdbbbccbbaaccaacbcababccbbcbbaadbbadadddadbcbacbdabdc
+bcccbbcabccabcbaccacbbbc
+baababbadccbccccdadddccbbd
+ccbdbdbacabacdddbbbabdccabccdd
+bcbcbbddddbbdcbcbacbacabbbbcdbccbcbabadcdadcddadcdcdbbddbdddcaacaacddddcbbcbcbacacacabdbdabccdbdacccddcdbab
+ccacbbacaaaccabaddcbbbadcbccbbcabaabddddcbadbdbbaaaddaaddabcadddcddcbbabdba
+bbddcdccccdbccbcddbbbcacabdddcdbabbbdbcccacacbcacbdbbdadadaddabccaabbbbbaaadabccbdaaadbddaadabcdbbaacabbacaaa
+daccabadabdcbcbdaccccddbcabbddbdaadddbbacaadbcdacdacbdddadbcbbbbdba
+dcdaacddbbbdaddccdbbcacdadbcdbcbbabbdbdcddaabddcaadaabbddcabddd
+cacccbadabadcbdaac
+bbbadcabccabcbcdadbcacacddcdddddbadbadcbacbcccaabacbbabadbaadabdddddbaadaacacbaaabbbdadaacdbd
+cbaacccddadbcdcadcbcbdbdcbdbacddcacdbacbacabcdbaadcccacddcbbbccccddadcaddcccdddccaabdccbcdcbaca
+acbbaacbdcddbadcabcbddbaadcaaabcbcadccacbdbcddaddd
+cbdadaccaccadbccdacabaddbbcbadaaabdcacccaaadddacadbddacdcccaabdbcbdcdaadbddbdbbcadbcdcbacbd
+dbbddaccdbad
+bddccbcaaadbacacbcbccdabcbbdbccccdbbbddaadabdcdaddadcbddbcdacaddbdaacaaddddbbdbaa
+adadaacddbbcddadabdccccb
+bacaacadaccacbcdcababcddbcabaaadbbcdaabcbbbbabcbcbcdacccddbbaaaddabbccdcbacadcbdacabdcac
+bacadbdccbdbbbbabdbcdcacaccccbacdcdacbcabdcadaadcaacddadddacdbccc
+dcabdcdbacbabbccadabcdacbdaaadbdbbdaccababacabadacbd
+bbbbabdbccbadbbcbbbbcbbadbddbababbcca
+bcbcbcccacdaabdabcccbccdddddcbbdabbdcbbc
+acabbbbcaaacccadbddbcddbcadcddbdcbbacdacddbdcccdbcabbacdbabbbd
+bcccabcacdbbbbccbccaadbdabbbcaadabbbccbbcccddbbbbbdbaacddbbacacacaacacbbcdbabccadbbbbddccadcccbbbadbbcacbbcbd
+dbdaadbddbd
+accbababaddabccdabbadcbcaaadbdccbabcbbbbabbaccbdbccddbcbaacaaca
+acdaacdcaccdccaacbdaadadadbbccacdccdacd
+cadabbcdcadbddddbacbaccaaacaacabcbbccdbbcdbddcdbcccaddbdbcbddcaaaaaabdbbbabdbbbdbbbdcdbddbbdacacad
+baaabacddbbbadcdbcacdcbdcccdaacccad
+ddcdddbadddbadcadcbddbaddacbcbdcdbcdcaccdcbdddddacdbbacdacaabcacdadcaccddcdaacadaddaabdd
+adaaaacabadddaaccbbcadbcccdcbddacacbcadbdaccccaddaddaabccdcdccdbacbdcdcabdcdbdbccaaadbcbccccbac
+dcdcacdbddabbbcdaccdbdbdcdbcbadabdbbbcddcdaccabaacddbaabddbaaccaabaabccbadccbddacbdaaddcbcbdbaadcadcdcdbdbdca
+acaaaabbddddbccdcaccbcadbadcaddbcadabaddbbbcadbaadaaacaddbcdbbaacbaadcadad
+bdcdaddbcabccbddaabdaaabacbabaabcbbbaccdcbddbddabbcdbabcccadcdcaaacadbbabcadbabdcababbda
+aacabdabcbbdcacdbddabcbccbbacaddcdddbcacdac
+dbddcbdaabbbddababbdbdccdcadbabacbdabddbdbcabbcbcddcdccacdadccaadcbddbdabccadadddcdbbcadda
+adbcdacabbcdabbdddcddacacacbabcbbcaddacaadbdcacccbdbbbcacdcdccbcabdbdbaabaaaddbaacbdad
+bccdcccabbdcdaccbdadbcbdddbdaaabdbdbccabaddbaccbbcabacdcbcada
+dddacdabddbbbdbbbdabdacaddbcbcddaaaddcdadac
+cdaadbbdcdbbddbaabbdabadbcdbbbdcdcadcdbdcdcaa
+bcaabbdcbcdbdaccaaaccdbddcbbbadbb
+cbdbbdcacdabcadcdddbaacddccabbddbaadbacbcbbcaadabdbddaaabadac
+bacaaaadccadadcbcbbacccccadcbaccccbadbcbddacdccdbcabbcaadaabbcbddbbcbbbabbbcdbabcdbcacdaadcddbdcabdbbadacc
+ddaaaaacddbabbbdabadcbdacdb
+ccacadadbabacaabbbbdacdaaacadaacc
+dbbcadccdbbccdbdaaccddabaaddcaaccabcdadccabadbaaaabcbcbaca
+ccbadbdbabbabacaccbdaacaadaacccacbcacbddccaddbadadbabdbcbbdbadccc
+dadccacadbdbaddbccddcccbddc
+ccdcbdabbbcdcdbbabdadabdacbbcbbbdd
+bccacbcdcbcdaddddaddbdbacbdaaabbbbcdcbcbbbdccbabbaccbdbbcdcaaddcadacd
+baadbbbcaadddbabcbccaddaabbbaaaaaccdcddadbcbcdacbacccccddabbabbcababaadbbdaadbbbcbbaaa
+bcbdbddccccdccdcbcaabbdabbccccdbbaabccacbddbbdcbdbddaadcbccdaacadbaababaacdddbaacaaaccbdbbbbbbcaaddaaadbcccc
+dbccbaacabbcdbababddacdcbdcacdcacabacbccabddbccabdbacacadbaccdabdbbdbbcccdbdccaadbdacabbdabbaddbcdcacccbcc
+cdcadabbaccdcbcacdbbdbaabdbabdddddcdcddbabbaadc
+abbdcdbabdd
+baacbcaddacadadaabdaabbdcabcbcabacbccddddcd
+bbabdbaccaadccbbccdbabadadcbaaccabdcaacbddaccdbdccbcadadaabdddbb
+dacdbaccccbcbcdbabddcadcabacadabaadcddbcbccaacddadcbcdbdccaabadbadabdbbcbbbcaaaaaaabdabadbabcaadaadaccddbbdc
+dadbaacddcabacababbcbbabcdbdbcbdbdbbdcdcacdabbdaaaccacaacdcbcdccbcbddccacdcadabccbabbaccbdbaac
+cddacbaadbaaacddaddabbcdadbcbadbabd
+bdadbacacdaadacbccbbbbdacdbadbdaaadadbdcbdddcabaabddbcdaa
+bbbabdbbabdbbbdaccdacaddadcbccbbbadabbcaaabaabaaabccccadcdadaccddbbcbbdbcccdaddacdddabccdcccc
+dcadbddcdbabbdcdcaccabaadcddacbdbacbdbcbacadcbdbaddbaccddbdabbcadccabccc
+ddbcbabdbcbdaddcabdccbcdbddddadccabaadbbcbaaacbddcdddaabcdbcdadddcbdcdbdcadccbadddabcacacbaababbbddcabbcbdacc
+dbadcaccdaadddcbaaabbddbddbadddddbbcddcbbcadacccbdbbddcbaabccbadcdabccbcaacacbccabbabbcbad
+daddbdbdcbccaaddcaaadacbcbcdaabacbaaabcaadbccccacabbaddddccbcbdd
+caccdaabddd
+daddacbbabdbbbcdaddcbcbbbcccabdcababddacabcbdbdd
+dbacabbbbbccbabdbbdadaaabaacbdaabadabdcbddbcccbaaabbdbbcabbdddbbdbcbdbacaddcbaacbacbbbcbcdaabbaabbcdaaa
+daccbaabdbbbcdcacddadaccdaadcdadabaddabdcbcbcbdabdacddccddccbadbbcacadaaccddcaabbbcccaaadbcc
+bcbcbbabddabbcdbadcaaaabaaaadcabbacdcbddadad
+bbbaadcccaddbcbaddbccbdddadacbbcbdbcbcdabcccdaddddccadbbdddcdbdca
+dccbcdbddbadadbbbdcaacdbcddaacadacacadcddcdbcbdcabdaadadccbbabdacbdcdcbddbbcbabdccaaadacbcddadccadaaad
+bcacdadacaaacbcaabddabacbdccacaaddacdaadabacccacaaaadbdaadaccdbdbdadbbb
+dbbccacacccbabaccdcabbbabaadcccbdacdcaacadbcabacbcdacdbccccdcdbccaadbdcccbcbaaaabbd
+ccdcbaacdccccacabbcbbbbadddddcddcbaaccddcadabcdcaacbbdcdacbadabcdbbacccbbcbacbbcaccbaaacbbdcaabbdbdcad
+ddabbbccaabcbcadbaacaddcdbcddbaba
+bbdaaacccbdbccccbadabdaddbcbcadbcbcccbbbcdaabdcadcbccbbbadbdacaacddccaddccdcddcdaa
+ddbccdcbaacdadad
+abdbccbbbccbababccacccacbaadcdbcabcacbbacccaddbcdccbbabadcbcbbbdbdabbcb
+dabddccbbdbcdcdccbdadbadbddbabdccddcacacbbdda
+aabbccdadacbcddaccbbdbbdabbccccadddacadadbcdcaaabadddcbccbcdcbdbabdcbcaabaadcdaddcbdbddcbbaacbdddb
+cbadcabbdaddacdcaddd
+dccbacaddcccd
+dcdadcdbdddaacacdcaaaaabaaabdcbabbcddbcbccccbaadbbbaadcbdcbad
+dbcddbbbbcdada
+dadbadabbbadcddbdcaadbcbacdacabdaaadbcdbcccacbdbbdccdadaaabdaac
+cbddcbdaccdc
+bdcdbdadcdcabacaabdbcccdacadabba
+bcdcacbcddbcbbbadcadccac
+cdcdcbcdccdbbabbccacacdbccddaabbdddbcdbbadbdbaacdbacadaacbbacbbadddcdadbccbcaddacbdadcbadbcadabbacdddbc
+bdaacdddcadccdadaacabdabbbcdcddabdcdcbbcacadabcabbaddaaaaaabdadcbccddaddacabcdbbdbaabbcd
+ccabaabacabbccbcdadabbb
+adbdbcbbdcabadaacacadcbdbbacccacbabcabaccc
+ddabdbdcabbddcdddbbbbcaaadbcaabcdadcdbabacbcdaddbd
+cabbabcbcaabccacadcabdcacdccbbcadacddccaccbaacaaddacadddbaacbbabddbccacabbdaabcbabcbcddcdbd
+ddbabadbdbbbadcbbaaddcdccbbcabadddddbddadab
+abdabcccddcdcbdbcbccbcbacbbacbddcbadccbbcaddacadbadcabbbcabbcdaaabddaddaababcdcbbaacdbabbddbadbdbdaadbcacaaab
+bcbacadadbddccaacbccd
+bcbbadccdbddadcdabbcbdacbdcdbdcccdcacdbdcbadacdcadcdbadcdbcdcdbbcdbaddadbacbcbbabd
+aadbdcdbdaadbadbcabdcbcabbddaccdcaddccdaaccbcaaabbbbadbdcbdcabbdcdadddcbdaaac
+dcaabbcadddacabbabadcddbdacacaacbdcadadbdbaaacaccbaabddbcaaaaabddaddadacaaacaccaddbbbdadc
+bdccaadabacacdadbddcbaacabdcbcbdadaaabbabcddccdccacdddadbbdddcacbcacdddb
+cacdaaadccababddaacbcdcdacdccbddcccddbdbaaaaad
+dbaaadcaddbcdacddacadbddbdbccbbccbbdbbadbbcddcbbccbcaabcbabbbaabccbcdcacdcabaacbbac
+ddcbaaccabbabacbadbabacbaddbccbbbadacadadcbbcbdabbdbababbdbabcacdddccacdaabdaddabcbcbdaabdb
+aabadccabdcddbdabdbcdcdbadddcaabaadbbbaacccaaca
+aadadaccacabccdbcacdababababdaccaacaccac
+dabbcbcbbcababcdbcddbcccadaabcccacaacaddddbadacdcc
+abdadbcabadcabddadadadaccbbcccaabddaa
+bbdcbbaabddcdacbacccbacbadbadccdcdadbbcbbabdccdaddcadccbbcbbcabcbdddbdabaacbadddda
+ccabdbdbddcbdcbbcbbdbabadadddbccaccabdcdcaddbcddcadca
+baccdbbdcbbddcdcbabddaadcbbbbdcbddccd
+bdddaddbdad
+baddbddcdbaabdddadadabcdbdcdbaddaaabdcbaabbdccdcbdddadbcbbcaabddbb
+cadddacbbdbbbdcaadabdbcbcaadddbcaddcdcdbbdddacaabcbcddddbcacbccbbacdbbcabadabaabaaccbddcdccadcdddb
+ccccaccbcacaacaaacaccbcaddbdcddadcadbacccbacaccaacadbabccadabdabdbacccbbdacbaaabdbbdbabcd
+cabbcbaabbadadacbddcacbacdbbaacabcddcddbabcabbdbbdacccbd
+cbddacabbbacdbcbabdbdcbbdaabadbcbddbcdddababdbdcbcccbdcaadaadbbaddababacdccccabbdacdabbcacabbcaabbaddaddc
+daaddbabacaa
+cbccbbcaadacabcdcccbbacdabddacccdcdcaaaccbaadcbcdaccbcadbdbdbabdbbbd
+dbabdbbabdaaacacdcbbbdcbacbdbdcbbaddacdbbcaaadadcacbddcab
+acadacacacbacacbbdadcbacdccdcbbdddccaaaacaddabbcccbcbcbbcaca
+addaacabcaadcdcaddbacbccbbddcbbcbcdaacabddbabdcdcacbbdcadcdabcccacdccbccbcccbbdbacbcdcaba
+adcadadcdadbdbcbdacabbaccadbacdbbccbccbaacbbcccaaadacdadacbdcddbcdcdddcc
+aabacaadbaccdaacdbcbadccccbcdbcacdcbcdaacbbdcadccccacaabadbbddacbcabbcbba
+acabddaadcdaddacbbbdadcccddbdcdcacdccdbdcbadadccacdbddcdbacaabcbcbdacacbdacbdaacadadcaadda
+bdaadbdcdccbdadcdcdddcddbbcddabadadabcdababdd
+dcbcdbacdcaccbdbcadbccbaacbbdbcaccbbbbdddcaaacdbcaabbcbbbbbccaddadadb
+cbcccabaacdbbcdadaddacadbacbcaacdbcbdadbcdacbacdddcbdcadcaaacabccbbbaddaaccbbdbbbabdaacccbbdbdbaccbacbddabc
+dacbddacdabdddcbaaaddbaaaadaccaadbaaacadcaaabbdcaaadbacabadddadaaaabadcbaddbbdabbdbcadabbccd
+cddbbdbcacbdcdacadcbcbbbbbbbabaadabbabdaabaccddddccdadadbadabdacdaddddddad
+babcbbbbbadadabbacbbcdccdbbcdbcbaccabdccaaababdbadaababcdadbcaadccbdcbbabddddbabdbadbcabaaabcdcdacacab
+bcccbddbbdcdcbdacbdbcbcabcbaadccccbcaccacdccddaabaaacadcddcabaacbcccaadbabbcddabbaddccacbd
+dcabddbaacb
+ccaadcdaddbdbcacddbdadadbcaac
+dcacccabbddaaccacadabacdcccadbcdcdadacaacacbcaabcdbbbccdcbbdbdbdadacdddddacbbbabdddbcacddcdaadcbbddcccdbab
+acbdbadbddcbdacbacbcbcddcaccaccdccdacadddcdaaccbadadcdadaaaaadaaadaccaabdaca
+dacbbdaccdcaccaaadbbcdbad
+badcbbbbaabdbcbbabcaccddbbbbdacaccbadccdbbaabbbdccbaddbcbbbcbcdadccbcbbcccdcbacbdadacbbc
+abadcbaabacdddaaadadacdccabddddaadccbbccbcdbbabcdba
+bbdaabadcacbbabaaacddbbcdcccdbaddcdbbbd
+ddcddddbcaabacaacbbdbdddbbadbaaccdccccbbccbbdbdaaacabcadbdbcddbdcbcdddbbda
+dbcacbcdabbcbbcddc
+bacddbadbdbccbdbadbacbcdccaadbcccbabbcbdcbaadbcdaddbbb
+daadaadbabbbaaaac
+caacdadddbaabcdcadcccabbcabdcbbddaccacddcadadcdada
+bbbccdaaaaabacabdcdcbacdccbcdccddcaaabdbdcaadc
+aacacabdaaabbccbbbcccaaaaddacdcbadbcaadcaacddbdcdaddcdddcbbaaad
+ddbddbcdddcbadacbccbdbcdabcaccbcbcdcbcdccccdadcdadabcbbaccaaabbdcaab
+ddcbabccdbaaadaccbcdddbc
+badcbadacdbcdbabbdcdabccbccccdddbccbcabcacbadddabcacccbbadcdadabcbaaacccaaabaaaadcdcddaacbabbabccddabadbbbc
+cabbdbadcabdccdcbabcabccdaaab
+bdcdccbcaddcadcacdaccbccacbdabdbabbdcccdabbcabcddcbddbddbacabbccdcdbadabadcbbcabbbbbdcbddaabdbccbbcaadaabadb
+daadacaadbcbdccdcabcdcbaabcccddbbbbcdaadbbbb
+dcbbcadcaabcdcccdabcacbcabaadcbcbbaadacbcbbdccbdcdddcaabddbabccacdccbbdbaabcbbbabcccdbadbccadadabdddbbdcdccad
+dcbcbbdbdabbcd
+bbbcdcddbbdacbdadccdbcdbbccabdcbcbabcacabccaabdc
+ccabddcdabcdcdcdbdcbdcabaaaddadcccbdacbcdbad
+daccaccabbcaaacaaaccdbcccddacaaccbcaddcdadacadcacdbcaabdddabdd
+ddbabaabbcaadabcbbadadcabcabbbca
+aaaaadaabccdccdaadacbccbbddcaabcbddaadbadaacadaddacddddccbabcaadcddcccaccbbadb
+cbbadcacbdcdbdbcccdbdcccbabddcaadadddaaacabbbbbbbbbabbd
+adabaabdbcbcabbcdcbcdbbbdaabbcdcbdbbcaccabcbcdddadadacaaabadbcdccbcabdacacdacbaccadacbccdddddcbbdcdcb
+dbcbcbaddcbdcdcbddabdbdbabaadbacddabc
+bddcdccbadcbadcdbcbbcbacad
+dccabdaaabdbcaabdadddbababccadccaabcdabcdabcaadd
+daacbcddbcadbcadadacacaddabbbbddaccaddacbdccbadbabdddac
+adbcbdcabbbacadcadbbddcbcbadaadbcddddddcbdcccabbdaaaaadaddbbdbca
+cddabcddbadbbbbd
+aacdbcdddddadbddcbcdcdccccdbabaccadaa
+dbbdbddabddbbaabddbbcadbdbcddcadccdbadaabbcdccadacdaaddcccbadbacdaab
+bbcbbacbcdaabcdcadcaabacdddacdcbdcacbabdcdad
+bcbdaabcabacbcbcaadaacaaaaadaadbddccdaabaaadcadccbaccbddb
+ccdbbdadcbddbdd
+cdadccdacbbcababdacdaaddcababdbcdbbbaaacccacdabdaacbccbdaadcddda
+cdcbacadcdaaadbdbdcbdadcbccdaaaccdcacdbdd
+cbbdcabdbabcadabbdccacbbddcdcdcbdddbbabdccaddcdabcdcadbdbdcdaaccddbcccdaccbdbcbbddbababbcdddacbddcdbcdbb
+ddcccbcbccbaabdcacbaaabdbadab
+dbcaccccabbccdbaadbdbdbcbaccbdacaaaadddddbbdadbcabbddcbdccccacbcdbbbbacbbcadaaadddddbdaababcbd
+baddcbabdccaccdaadcabcacbdcbdabdddbbcadbdbacccbdbcacbdbabbabbccdabbccdcaccacacbbaddbabc
+cdbdcabbbcddacbaabbbccddababbcdcbadbbabcaabbabdcbcccaccaacdccbaba
+acbccaabbbaacdabaaaabcabcbaadbaaaadbdcbccbccccbcbdabadcdabacdaadabbcdccddddddbddbbbacdcbcccdbdcccccadbaa
+aaccabbdcbdbacccaddbbbcccbdc
+dddabcaacbdbdcdaadba
+acaddcabcddddbacbdaacdbccaadcccbbbaabbbabaadaadccacb
+aadcdbbdbbadcdacacaddcbdbbcccacaac
+dbabbadbaacddadcabcccdcdaacccbccbbdadbaaddacccbbbbbcbbabbbdbbbdcddbabcdcadbdaacbbdc
+cddbbcbbdcbaccbdcbbcdcacdabcacbddbabbacddddcbccdcbcccadcbccddcbdabbccdab
+cdccaccbbaadcadbacadadcaccddcbbbbccbddbddccdcbdababcdadcbadaaadcdadcdbcadabbabbbcaab
+bcabbdbdbababddbccacdcdabccaabbcaaacbdbccbaccdaaddacbbbdddcaadbbbacbcb
+aabdcadacbdadda
+bacddccabbdbdaaddadcddbbdbdcbdddccadabacb
+bccdcbcbcbdabaddadbabbcbaccbbccabdabcdbbabacadcbcabcaabaaabcacbcddddcbdccadcabbacbdacccbbcdabaccbbdd
+addabbdbaadddddbaaccaddccdcdcaaacbdbdaccddbdbbacdccacdaaccbbbabcdbc
+abcdbccadbcbbdddccbaabaaccbbdcacbcaccdddaacdabacddd
+dbaadcdacadccdabbdabccb
+ddabcbabdbcbbbcaaaaddcdcdcaacbdcdaccaabcdcacdcabcdcbcccdbdcdababbaddaabcabaddacbcadcabdcccbbdacda
+ddadbaccdcdcdadcbdbbdccdacccdd
+daadcbabacdbbabadbabcbdaacdbbbbbbcdcddadabdcdbbbbdd
+cbcbbbbbbcadddcacadbadbaabcbcbddbaacbbdcbdcbcdbaddaccaaccaadaddccacadbcaadbbdbccabaaacdccdbacbbbdcbdcbcbd
+badcbdadcacbadbadcaddbbaaccdcbdaaadcabcadadbccdbddcccbcbbbccdccdccdbbaccabdbdcdbcabdddbab
+dcdcdaacbbbcdbddaaabadbdbbaacacdcdcabcdbadbbadbacbdacccbcacc
+dccabccdccdcddbccaadbbcdcbaacbdbbaccabbbbdbdbbbcdbdbdddaccbbabaacdccbbcbbccda
+aabdcaaddabbbdacbacaadbbbbbcbacbbcdbcdddacdbcbdddbbaddbcccddddbccdaadcaacaabb
+acccdbadbbabdddccaacaaabdccddcdcdbcdcaadacbabcdaddbcaccdbcdacbcdbadcdabaaddcbbaaccdccdcbaadbddd
+bdcbdcaaaccbcbbccbaaaddabcbbcdcadcdccabcbc
+aaaacbdcddccbdcbaaaccacabbbcabdabaccccbacbabdbddcccdcaddabaadabbddaacdbadbdbcacdcbabbddcbacdcadbbd
+caadcacbddccdaaabcbcdabbbabcadcaccadadacccacddbddadcacadcccacbdcd
+cbbddcabbdbaabcaccbdaadbcacbbbcddbbdbaaacabdbbbaadcabdbabdabacb
+bbbaaadbcabcadcdbbbbccbcbddadbaacdbccb
+dacdbdcddcdbbdbdadcbdbabbaacdcaadadbbbbbabaadbdbdaadcdcdbbbcbdcdddabcadabcbabdbababdabbdad
+bdbcbcbdabdabaabdcdbadccdbddccaacaddddddbbbdabaadadbbbbbccdadddcabbddbcdbdcccabdadacbdcbccbabbdcccddb
+cbbaccdbdcaabdddaadabddddbacabdccabacddddbbacbbcabbcdbcbdabdbbcdda
+addddddbabdaaaacabbaddbacd
+adbdcabbdd
+daaacccdcdcbdabdcadbabdcdaabadcdcbdcabbba
+dcbadadccabccbbcaaabdbdabddbabaacbddcccbbdcabbbccaaadacadcbaabdaabdcaaccbaaddbdbcbbadacdacaccd
+bdbdbdcbbacddbdaddcbbcdbbddccdcccadbdcadcbadbbbadccdbdabdcdddcaaadabdcdccccbbacadccbdadcccaacbabbbcbbbcbab
+accaccdbdcdabcabcbbcbb
+acbbbadccccbcacdbbbacddbcbbd
+acbddaabbddaddccadaadacbbabdbbbddcadbdbaccdbccbbacccbdcacbccbacdacccdadbcddbdaadbdbbdadbb
+ddcdacadbdbbcddbcabcdcbbabccacdbcdcdcbddbbabaddbdccdbbcadacc
+cabcbbbaabdcadacbbcaadddbbc
+acdabddcddabaadbaddbcaabc
+adacbcadbaadbabdaaddcadbcdabdbbbacacbabaacdabcbbacabbdcdbcbbdcbbcdadd
+dbbbcabcabcdcbacdbbbdaddbacbcdcbaacaddcdcdbaabbaddcaadcaaabdadabcaadcaabacaadbbba
+bbadbbaacdbcbabadcabcdcbdddcacaabcdbbaddccadabbbadaddbdacacbccaacdabdc
+bbcdbadccbbbbadabadabdcdbadbaccccdbacadccbbddcddbadab
+accbddcdbdaadac
+dbdacbaddccbdcacacccccabcadbdbdaabacddcaadbaaaabacadcbcdbabbcbcddbbbbaababcdcdcbcddbcabba
+dbbbbcccaabcbdabbdadbdcdaabababacadbdddccbcbccbbdbcbaadccbaabddcaabcdcbabdabaabaacdcbdd
+155 72
+bbabaaabbaabbaaaabbbbaabaaaaaabbbbbbbaaababbbaabbbbabaa
+aababaaaababbaabbabbaaaaaaaaaabaaaababbabbbabbbabbabaaaabababbbaaaabaabbabbbbbbbbbbbaba
+baabaabbbaabbaabbaaabaaaabaababababbbbbbaababaaaaba
+aaabbabaaababbaaaaababbaaaaaabbabbbbbababbbbababaaababbbaaabbaaaaabbbaaabbabbabbaabaabbaaabaabbaaaba
+aabbaaabbabaaaaabaababaabaaaaaabaabbbbaabbabbaaabbbaabaabaaabababa
+aabbbbbaaaabbaabbbaabbabbbabbabbaababaaaaabbaababb
+bbabaabaabaabaaabbaabbaaabbaabbaaabbbbabaaababbbabaabbaaaabaaabbbbabaaabbbbabaabbababbababbbbaaaaaabbbab
+babababaabbbabbbaaaaaabba
+aabbbaaaabbaabbbaaaaaabbabbbbabbaaababaaaaaaababbbbabbabaabbaaaabbabbaaaaabbabbbabbabbbbbbbbbaaba
+abbbabbbaa
+babaabbaabbabaaaabababaabbaabbabbabaaababbaabababaabbbaabaaaaababaaabaababbbabbabbaabba
+abbbabaaabaaabbabbabaaaaaabbaabbaabb
+bbbaaaabaabbbababbaaaaabbaaaabbabbababbbbbaaabaaabaababbababbaaa
+bbbbaabaaaabbabbaaaaababbbbaabbaaabababaabaaabbabbabaabbabbbaaaabaaaababbbaabbbb
+abaaababbaabaabaabababbbbbbabbabbbabbbbabaaabbaaaaabaababaabaaaabaa
+aaabbababbabaaaaabbaa
+bbbabaaabababaaaabbabbbabbbbbbbabbbbaabaabaabaaaabaaababaabbbbbaababbbabbabbbbababaaabaabaabab
+abbaaaabbabbbaababaabaaaabaaabbbbbaaaabbbaabbaaaababbbbabababbbabbbabbabbbababaaba
+abaaaaababbaaabaabbabbaaabbabbbbbabbaabbabaaabbaaabbbbbbbabaabaabaaabbbbaababaabaaaabbbaababbbab
+babaabbababbabbbaaabaaabbbbaabba
+aabaababbbbabbaabbbaabbabaabaabbbbabbbabaabaabaababbbaa
+aaaabbaaaaaabbaaaaaaaaaaaabaaabababbabaaaabbbbbaabbbaaaabbaabaaabbaabbaaaaabaaaaababbababbbbabbaaaabbab
+baaabababaaabbabbabbaabbaaabaabbbbabbabbabbababbabababaabbbbabababbaabbbbaababaababbbbab
+bbabababbabbbbbababaaababbaaaaabbabababaabaabbbbaaaabababbaaabbaaabbbaaabbababaaaababbbbaaabaabbbba
+aaababbabaaaabbaaabbbbaabbabaaaaaaabaabbbaabaabbbbabbabababbbbabbabaabaaabaaabbabaabbbabbbbaabaababababab
+aababaabaabababababbbbbbabababbbbbaababaaaaabaababbbaaabbbbbbbbaaabbaabbabbaabbaa
+ababaaaabababaaabbba
+babbaabbbbbbababbbbbaaaabaabaaabaabaaabbaaabbabbbaaabbabbababaaabaabbbaabaabaabbab
+babbbbababaaaabbbabbabbbabbbbaabbbaabababaaaabaaabbabaaabaaabababbababaabbabbbbbabababaaabba
+abbbabbbabaaaabaaaabbabbaa
+aabbaaaabbb
+abbbbbababaabaaaaaaababbabbbaaaabababbaaabbbabaabbabbbbbaaabaaaab
+aaabaabaaabbabaaababbbabbaaaaaaabbbbbbbababbbbbbabbbabbaaababbaabaaababbabaabaabaabababaaa
+babbababaabbbbbbbbaaaababaaaaaabbaabaababababaabaabbaaaababbbaabbbbaaaaabababbab
+bbaaaaaababbbaaaabbbaabbabbabbbbaabbabbaaabbbaaababbaaaaaa
+ababaaabaaabbabbb
+babbbaaaaabaabaaaaabaababbbaabaaabbaaabaabaabbbbbbbba
+babaaaabbbbaaaababbbaa
+babbbbbbbabaababbbbbbabbbbbaaaabaaaabaabbbaababbabbbabbabbaaababaababaabbbabaaa
+abbbbbaaabaabababbaabbbabbabbbaababbbab
+abaaaaaababbabbaabbaabbbabbbbbbaabaabbbaaababbaabbbaabaaaababbbaabaabbaaabbaaaabbbb
+ababaaaabbabbaababbabaabbbbbabbbbbabbaabbbbababbbbbaaaabbaabbabababbaabbaabaaababbaabaabbaabbaaaa
+bbabbababbbbbabbbaaabababbbabaabaaaabbbaba
+ababbaabaabbbbbabbaabaaabaaaababbbbbabbabaabaabaababbbabbbbbbbabababaabaababbbbabbbaaaabbabbbabbbbaabbbabaaa
+bbbabbbbbabbbaabaabbbaba
+aaabbaaabaaaaaaabbbbaababbbaaababbbbbbbbbabbaaaaabababaabaababbaaabbbbaaabbaabbbbabaaababababbabaaaabaa
+abaababaabbbaaabbaabaaabbbaaabbabaaaaabbabbbbbbbbabbaababbbbaababab
+baaabaaaaabbaaababaaaaaabababbbababaabbbababbabbb
+bbbabbbbabaaabaaaababbbaabbbbbbaaababbabbaaabbbbabbabababaabbabaaaabb
+bbbbabababaaaaababaaabbbbaabababbaababbbabbaabbaaaa
+aaaabbbaaaaaaaaaaabbababbaabababbabbbbbaabbbaaaaaabaaabbababbbbbbbbbbaabaabba
+abaabababaabababbbbabbbbbababaaa
+bbbabbbbbabaaabbababababbabaaaababbaabbbabbbbbbbbaabaaaabbababbabbaabbbbaabaa
+bbabbabbabbaababababababbaabababbbaabab
+baaaaabbababababbbabaabaabaaaaaaaababbaabbbbbaaaabababbabaaaaabbaab
+babbaabbbbaabbbaaaaaaaaaaaaabaaaaabbaaabbbaaaabaabaabbbbbbaaaabaabbbaabaabbbabbaabbaabbaa
+abbaababbaabbaaabbbaaabbaaaaabbabababbabbababbababaaaabbabbababbbabbaabbbbaaaabbaa
+bbbaaaaabbbaaabaaaaaaaabbbbbbbbababababaabaaababbaaaaaaabbaaabbbaba
+ababaaaabbbaabbbaabaababbbbbabbabbabbabaabbabbbbbbabbbaaabbaababbb
+babaaaaabaaababaabbb
+aabbaaabaaabbbaaababbabbbbabbbbbbbaabbbaabbbaaababaaaababbbaabaaabaabbaabbabbbaabaabbaaabaaab
+aaabbaaaababbbbabbbabbbabbaabbbaabbababbabbbaaaaaabbbbbaaaa
+aabaaaabbababaaaabbaaaababbbbaabbaaabbabaababbabbabaabbbaaa
+abbabaaabbbabbababbaabbbabbbbbabaabbaabababbbabbaabbaaabbbbbabbaabbbaababaabbaabaaaabaaabbabbbbab
+aaaaabbbaaaabbbbbababbbabbbaababaababbbbbbbabbabaa
+aaabaaaabababbbabababbaaabbbbbaabbbaabaabbaabbaaabaabbbbbbabbbabababaabaaababababbaabbababaababbbabbbbaabbb
+abaababaaaaabaababaabbbaabaaabbbaabbabbbabbaaabaaaaaaabaaaaabbbbbaaaaabaaaabbabbbbaabbbabaabbbbbb
+abaababbbbbaaabbbbabbabbaaababa
+bbababbbaabbaababbbbaaaaaabbbbbaaaaaaabaabbababbbaaabab
+bbaabbaaabbabbaaaaabb
+abbabbababbbaaba
+aaaababbbaaabaabaaaaaabababbbbbbbaa
+babbabbababbababbabbbbaaababbabababbabbabbabaababbbab
+aabbabaabbb
+bbbbbbaaaaabbabaabaabaabbbbbbaaabbabbaababaabbbaabbbbabbbaaba
+ababbaaaaabbbbbabaaababbbaabbbabbabbbbbbaaabababaaaaaabaaa
+bbbbbbaabbaabbbbabababbaabaab
+baaababaaaabababaaabbabbabbaababbbbabbaababaaabababaabbababbbbaaababbbaa
+abbbababaabbbbbbaabbabaaaababaaababbababbbbbaabaabaabbbaaabbbababbbbbbaabbbabbabbbabbbabaabbb
+bbbaaaaaaababbbabbbbaabaabbbbabbababbbaaabaaaabaabaaaaaabb
+abaaaaabababbbbbababbabaabbaaaabbaaaabaaaaaabababaaabab
+baaabbaaaaaabbbababbaabaababbbaaaaaabbaaba
+abbaaabaabbabbbaaaaabbbaaababbaaabbbabbbbbabaaababbaabbbabbbb
+abaaaabaababbaabbbabbabaabbbb
+bbbbaaaaabaabababaaabbbbabababaabababaabbababbbbaabba
+bbaaaabaaabababaabaaaabaabaaaabbaaaaaabbbabaabababbbaaaaababbaabaab
+baaaaaaababababbabbaabbbabbabaababbabbaabaabaaaabaaaabaaababbb
+aabbabbaabaaaaabaaabbabaaaabbbbaab
+bbaabbaaaaabbaaaaaaaabbbababbaabaaababaaabbaaaaa
+bababaaaaaaabbbbabaaabaaaaabbaaaaaababbababababaaaaabbbbbabbabbabaaaababbaaaabbbababbabab
+aabbbababaaababbbbaababbbbbbabab
+bbaaabbabaaaabaabbbaaaabaaabbabbaabaababbaabbaaababaababaabbaababbbabababaaaabbabaaaababaaaabaabbbaaaaaabb
+aabaaaabbaaaabababaababbaaaabababbbbbab
+aaabbabbaabaabbbabbaababaaaabaabbbaabababbababababaababbabaaaabbbbbabbbbaaaaaabbbbbababaabbb
+baaabaaabbabaaababbbbaaababababbbababbaabaababababaabbaabaaabbaabbaabbbaaaababbaaabbaababbbbbaba
+abbaabbbbbabaaaaababbaabbbababababbbaaabaababaaaaabbabbbababbaabbbaa
+abbaaabbbbbbbbabbaaaabababb
+bbbababaabbabbaaabaababbbbababbaababbababbbbbbbbbbbababbbaababbbaaabbabaaabbaababbabbaaaabbbbbbabbb
+bbaaaabaababaaaaabbaabaaaaabaaaabaababbbabaaaabbabbbaabbbaaabbaabaaa
+aaaabaaaabbbaababbaaabaaabbbabaaabbababa
+bbbaaabababbabbabbba
+aaaabbbbaabaabaabbabbbbaaabbabbabaabbbbabbbabbbababbbaaabaabbaaaabbbbbabbababaa
+ababbbabbbaaaaabaaaabbabbaaababbbaabaaaabbabbbbabbbaaaabbbbbbbaabaaaabaaaabb
+aababbaaaabbbaabaaaaaa
+aaabaaabbaaabbbaababaababbbbbabbaabbbbabaaaaaaabbabbbaaababbababbbba
+abbaaabababbabbaabaaba
+bbbbbaabbabaabaabbaaabbbababaaabbabbababaaabbbabaabbabbabbaa
+bbbbbbabbbabbbaababbabaaababaaaabaaaabaaababbbbaaabaabaaabbbbabaabababbaababbaaabbbabaabaaaaaa
+babaabbaabbbaaabbbbaaabbbbbabbaabaaaabbaabbabaaabbbbb
+bbbaabbbaaaaaabaabbaababababbbaabaaaabbaabbbabaabaabb
+abaaababaaaaababaabbaaababaabbaabbaabaaabaaabaababaabaabbabaaababb
+baaabaaabbba
+aaaababaaaaabbbaabbbaababbaabbbabbbbbababaaababaababaaaaaaabaabaaaabbaaaabaaabbbaaaaaabaaaabbbbabaabbabbabbab
+baaaaaababaaababbabbbbbbbabbbabaaabaaaababbabbbababbbbbabbbb
+baabaabaaabaabbbabbaaaabaaaaaaabaaaa
+bbbabbaababbabbabaaa
+bbbaabaaaababbbbabbbbabbaabbbbbaabbabbabaaabbbbbaabababaa
+abaaaaabababbaabaabaaabbabbabbaaaaaaaaaaababbaaabbbbbaaababbaab
+abbabbbababbbbbbabbabbabbaaaaaaabbbbaaaababbbbbbabbbabbbbaaabaabbbaabbbbaabbaabab
+aaaabaabaabbaaaabbaaaabaaabbabaababaabbabbbbbaaaaabbabbaababbabbbbaaabbaaabba
+abaabbbababbabaaabbbbabaabbbbabaabaaaaaaaabababbbbabbaaab
+bbbbabaabbbaaabaaabaabbabbaabbbabbbaaabbaabaaaaabaaaaabbbbaaabababaabaabaaaabaababbbabaa
+babbabbbababbabbbbaabbabbabbbabaaaaaaabaaababbbbbaabbaaaabb
+babbbabbaaaabaaaabbbaabbaabbababaaabaabbbabaabaaabaaabbbbbbbbaabbbababaaba
+bbabbbaaaaaabbaaabbbbaaabbabaaaaabbba
+babaaaababbaaabaabbbaabbabaabababaabbabaaabababaaaabbaaabbbbabababbaaaabaabbabbbbababababaaaa
+baabbbaaaaabaabbbaaaaabbabba
+bababaaabbaaaabbbaaaaabbbaabbbaabbababbbaabababbbbaaabbababbababbbbaabaabbbaababbbbaab
+abbbababaaabbabbbaaaaabaabbababaabbaabbabbaaabaabbaababbabaaabbabbabbabaabbaaaba
+bbbababbbbbbbabaababaab
+bababaabaabbbbbbaabaaaaabbabbaabbbbaaaabbaabaabbabbbabbaabbbbbaaaabaabaabaabbbabbaaabaababaaabbaa
+baabaabbababaababbaabbababbbaaaaabbaabbababbaaab
+aaaabaaaaababbbbaaababababbaaababaa
+abbbbaaaabaabbbaaaabbbaabababbbaaabaaabaaabaabaaaaaababbbbbbbbaabbbaababbabbababaabbbbabbaaabaabbbbaababbbbbb
+baaabaabbaaaabbbbaabbbaababbabaaabaaaabababaabbaaaaababbbbabbababba
+aaaababbbbaaaba
+bbbabbaabaaababbbbbbbbabbbbbababbbaababababbbbabaaaabbabbbbaabbbaaabaaa
+abababbaabaabaabbabbbaabaababaabbaaabab
+ababbbaabbaabaababbaabbbbaabaabbaabbaaabababbbbbbba
+babbbbbbabbaaabaabbabab
+bbaaaaabbbbaaaaaaabbbbabbbbbbbabbbaaabbabbabbaabbbaa
+abbbaaabbabbbbabbbabbaaaababaaaaababaaaaababaa
+abbbbaabbbababaabbabaabaaaaabbabbaabaab
+babaabaabaabaabbbbaaabbababbbaabbab
+abbbaaababbbbaabababaabbaabbbbaaabbbbbbababaaabbbaababbbabbaabbbababaaaabaababbbbbbbbaaba
+baaabaaababbbbbbbbaabbababbaaababaaabbbb
+aaabaaaaaabaabbabbabaaaababbabbabbabbbabaabbbbbbbaabbbbabbbbbbbaabaabbaaaabababbbbbabaabbaaabbbabbaababaaa
+bbbbaaaababbaaabbaaaabbabba
+baaaabaaaababaabbbbaabbbaabbabbabbababaabbbbabaabaabaabbbbbabaababbababbbaaabaaabbabaaaababababbbaba
+abbbbbabbbababbbbbbbbbbbbaaababaababbbbbabaabaabbbbbabbbbabbbbaabaabbbaabbbbaaabbbbbaabbabababaabbbabbaabb
+bbbaabbbbabbabaababbababbaaabbaabaaaaaabbbabbbbbabb
+baaababbbbaaaaba
+bbbaaabbbabaabaabaaaababababaabbaabababbabaababaabbbbbbaaaaaabaaababbaabbababaaaabbbbbb
+bbbabbbababaabbbbbaabbbabbbaabaaababbabbababababbabbbaaaaabbaabaaaaaaaaaabbbaaabababa
+ababbbaabaabb
+11 2
+dbadbcabddbdddcabadddbbadcbaaadddccdadaddaabadaabddcd
+cacdadbcaccddaaaaabcabcabddbacddbcabcbddbdc
+cddccdbddbdcdbbabdcbbbcaabdcdacaccacacbddccdccdcbacbbdaacddaacbdccddbdaaddbbcaddcbddbaadbcdaabaadcdccd
+dcbbcbbbbbdbbcdabbbbdabbddbdbabcacaadbaacbbdabcdadbdbbacabbbbcabcbcadccbcbbabcabcccdb
+cbddaccbacabdabbcccddabdcdadcbbbadccaacbdcaccacbcadcddcccdddccbdbdcd
+accadccdccdcaccbbaadddccbaaacdbdbdcabcbbddddcbdddcdddaadaabcdcb
+badcbbdcddbaaadbaaaddddaadbccaabdbdcadcccadddbbdcabdabcd
+ccabadbacaaabaacacdadadabdbacbbbcbdabdbabcbabdbbccaccdbcbbcbca
+aadcdbdcbbccbccbcccadcbcdaababdbadddbaadbcdbabacddddcbcccda
+cddcdccddbbddccbbbbacababcacbcaadccdabadddacccabccdbbcacaaabbddbacbadaaacabcdbacccaacabdbbdabbcabd
+abcbcdccacdccacabbbbdbabaacbdbdabddddbbbbcbacccbddbacdcdcdbbdaabdadcdcc
+114 105
+dcabcbacbcbbddba
+bbbbbaacdbdccbbdddddddabdaadbdcbcadcaddbadbbbcadbbddaa
+cdddbcacdbbadbcacacdbaa
+dadbdccdadbdcddadbddbcbddaadabbaaabadcbaaccddbabadd
+ccbaaaabbbddbbdddddcabaccbccdabbbbbbdcbaaadbbbbbccdbbbbcdbdaabaadadcaaabdcccbcbbabacbcddbaabadddd
+badbccadddcdcbbbadaabbdccccdbacbcabcdcbcdcddbdcdcaaacdcdbbaacbcaabcdbbbccbdccdcbcbddaabcbb
+baccbddcaddcccddbcddcacadadaaabaaaabccdadbb
+bcbbcdcbdcbdc
+ddbdcbbbdadcbddcbacddbdaaccbdbddbb
+bcbbccccbccbaabbabadacdaabcdbbaabccacaadacabbdadbadbbdccddacccbbddaacdddadadcdcbaaacbddd
+dacbdabcdcccadbbaad
+dcbdccbaacaadcbbcddbdbbacbbdbdbcddacbdbabdcaaddabbddbddabacacdabcabcdda
+abbaddcbcadabbdbdcbaadcdaad
+bcdcaacdddcabdcc
+bbbdcacbacaadcbdbccdaaddabbadabcbbbabdbcbacbdbccdcaacdcb
+aadaddccaaccbdaadadcdccccdbabababcabadbdbabcbcbadaadbbaddadacaaacdcadbdbdbdbc
+dcdcabcdcacbbddacaabadaccbbacddbcbcdabdaaddcadaabbdbcb
+caaddcdabaddcbcacbcbbca
+bdddbccbbcacbbcdccaaacbcddddaadcacdbbabcaddabacbbbbdcbdbaacbdcdbabbdbabdabaddbcbdadbdadadbacabaccbccd
+cdddacabdcbbadacbddcbbbcdaabbacbbccdbcadaabdaddacdcadbcdbdcddbaccbcdddcddbdcb
+bddaddbcdcbccbcddacbbdccddbcabbccbbdcadadbcaadacbbcdacdabbbda
+dcbbacdcdbdbdbaabdbcabacaaabbababaadacadcbabcdccbabcbaabadaaddabbcbacbdcccabadadccbadacbadabadbddcbd
+ddadbcdcdcaabbcdacadcaadccdadbcdaaccabacdba
+bdddbccbbcbdabcddcbcadcdababacddacbcddbdbdbcabcabddaaddcaadaaccdbcccdbadcdababdbaa
+ccdaacbdac
+aaadabcbdcaaabaadbadcacbabbccccdabccadaacbdaadbdbcbccdbdabaacdddbbadcdbacdcab
+bcaddccdabbbdbdbbdbcadbaaccdddbbdcaccccdbccabccbbdddddcacbcaaacabbbcbcbddcbcadcadbabadacbdbdca
+badcadbbabaacac
+bbddaddbcbcddabbbdcaaddcdccadababbdddbdbbbcbbdbbbbcdcbaaabdabcbcbaabbdbbabcccbacadadbc
+cbbdaacbddcbbcbbccbcabaccbcacddbaabbaadbacbaaaddddbdbbcdababccacdbbdbadadaacbabdbcaacdaacbbcabbdba
+addcaacaabadaadadcccbabdccadddadbddcabadbccacbbacacaddbdacbbbaddbdcadbacdddcabaadccdadaccbcbcb
+aadaaadddcdbbbbcacdbdcabacbbdccbaadaddcaadcbabbcccaabcbdadcabcbabcadacccacaacddbbadddcbadbacbdd
+abcdddccccdbdbabacabaacbdadccaddbadccbccaabcdbadddaccdbbdbbbccbdbadbdaccbabcdbbcabcabaca
+acadaaccddcabbacacaabaddaaadcbcbcabadcbcadcadacdcaabcbd
+bccbbabdcbaaadadacadaab
+bacbcababdacacccdacccabdbdbbdbbbbcbaaddaabbabadacabdcd
+caadadcddcdabccddaabccdcbddacbacdaadcaaadbabdddbdaadadbccaadbdcbcbddbbacccddbcbbcacbbbcbaaaabcc
+caabdbbabbccaccddccdbaddbcbccaabbcaacacabcbdcdcbcdabdbacabbacababddabacbadadacbda
+caadaabbdcaaadcbbbcbbbdbabdbcbadacbaccaabdb
+adaadabbccbbbcccbdbabddccaddaaaad
+dccbbaddbaababbabdbcdbbbccda
+ddcabcdbaaddadcbdbbdbbbbacadbcbbcccbcdabcacbacddbbbacb
+ddbbbacdabcbdacdbdddcbdbdcdacdccdbabdddbacdaacbcadadbadadaaaabbababdbbdbbbbbdddacdc
+caadcdbbdaccdccddaacabbbcccadcaadaccacadcadcddabbcabdabaabbabcbbbcddcaabdbbbca
+bcbcaddadcadb
+ccabacdbdddacccbdabaabbacccbbadcaaaccbdca
+ccbdcabbbcbcdbdacdb
+bdcaadddbbaaacabddcdabdcbdbcdca
+bbddacdddbaaaacaddaacdabcccbdcbdcbdaccdcaadccbbaccbcacbbbadabbbaacadbadbbcdb
+acdabddacaadbdbdbadadacabddbaabcccadaccacaaaccccaddadaadcbbbddbbddacdd
+bdabbbcddcadabcbbababddbdcadcdcaacabbacacdccda
+ababacaacbacaabcdcbccdabdbadddacacaaabadac
+acdbbdbaddca
+cdcaaccbaabdabdddadbbaacdbcacbcbcddadadaabbcababadaabac
+cbbcdabdbbbbbcbccbadccabddaccdaaadcaacdaacaaddbbbbbbcccc
+daccdaabdbcbcbcbaabcdbbcbabaabb
+dcbacabccbbbbcadbbadcdbadabbacdcbbcaabdbadbbddcaccbabdbbcdabdaacdadabdcccccbcdcabcbcab
+cbacadababbbbbcadddaaacacdbdcdbbddadbbdadaddaddadacacbabacbcbabbba
+dbacddcadbdbbbccacbdcddacbbdddacbaabcacadacbcabdbcbdcbadcbaadcbcbca
+addcbbbaabddaccbacabcdcacbbdccdacddadbbbbccccbbaaaadcaccbbdcddacccdaaacabdbad
+acbaabadabbdbaabcdcbbdadccdaddd
+dcdaaaccabccccdaccbabcaaadbddbdacdadacaaacaadacabaaccdbbcdadbcdccdccadacacdccbbbdaadcacccbcabadccaccbbdbc
+cadaacddabccddbdddccbbaaadbdacbbaacddaacaaddbbcdbacaddcdbadcaaccdbaccbdaadcccccacccd
+cdccccdabcbdacdaadadcacaaabdabdcaacdacacaccdcacadbcabcbbbabbdbacbbdbacaabaddd
+cadbdabdcdacbcbdadcccddaccabbdaabcccdcdaddcadadccacdaabacabadabcca
+ddabdcacadbddabba
+cdcbadcadbbbabababbdccadbdbbbdbccadbbdcaaacabcbbacacacacbddacbdcacaddbdcddbccaaaccbbdcaabd
+abcccbcddcdbbbcddbbdcbacdaaddbbbbdbccdccbccbddccacccabcb
+bdddabccdbbaddcccbdcbbbaaddcbdcacbdbbbcbcaaccdcacdaddd
+dccdccbdbcabcdbaabbbccccbacdddbcbcbdaaddcbacbdbccccaaccdcdadbabbbbb
+bacdbbdbdacacbaaccbbab
+bbcbaddaccccbccbcddbdabddacccddbadcabadcbababaccabbcadbdcdaabbbdcbddc
+bdbbacbdddbbcdbaccbbcacbdbacbdaccdbcbdcadbddabadcaabddcddbcacbdddbdbbbbdc
+cdaacbdadbbaaaadadda
+bdcbaabbacdaaadba
+cbabdbcdcdccccaaacddcbaacaadbdbccadaccbdbbaccddaccaaaadacdbcbdaacddccdbcbda
+baabcbaddddbaadacbbaaddaddccbbaadcccadbdddcdbddabbcadbccadaadcacbdbdbaabcccdddbdb
+aaaccccbcdaabcdbbbdcbccbdddbaddbccdbadbdacadccdddb
+acacaacbcddc
+ccddcbbbaabbaccdaabcdddbddbdbbaacadcdadbbbdddbbaaaabcbacdaddaadccbcbbbbbdddbbddddabccbacdabdccccacdcccccbdc
+bbbaccddcbabdcbccaaaaacbcbccbacacbbacdddbaabbcbcacdaaada
+caacaadbbddcddbdbbacbbbbbbcbdbbccaddccabbdcbaadb
+dcacbacadadcdcddabccdaccccabbbdabbddcbaccbcdcdbbad
+ddbdccaacdbdadcadaccdaaadddbdbaabdcdcbddbdbadbdbccbaaacdd
+bcbcbabbcddadbaacbdbcdccacccacbc
+dcabcbacbcccdacdaacadccb
+dbccdaddaacbccdbaddcdcccccbddbadbcbadacdaa
+cdcabbdbbdbcdcacdbdbbacaacbddd
+cbdbdacbbbdabbdcdbdaccacaadaa
+daaabcacdbbcddc
+ccdbacadbccbcaddaacacdaadcdcbacccabbdbbbdaddcabacbdbcdbccddccadbdcddababbccbcdadda
+bcacadcddccbcdcccabdabdbccbdadbdcaddadbdadadbdbccaccdabdcbdcabddbcdcbbaadbdcadcd
+dcdbbadaaaccabbdcccdaabbacdddddaabccbbcbddacdcbddac
+daccbdcbaccbbdccadabdaadbabdddbabaacdddadcdcddbbcccabddccdabbdccddacaaadcddccd
+cddacabaadcbcbcdbacbdddcaaadcadcaacddacabcacdaacacdaddccaacbdadadadbaadcaac
+dcbddbbcdcdcddaddabcdacdacbadcddbcbdbadbcbcaccacbccadaccbabccdddbccccddbddacc
+dcaaacdabbdbbbaabdacbdadcaccbacbddabcdccddacbdccaddddccacbddaddacdbcabdcdcaccbdabcdbdbbdbaadbadadd
+dccacddbbbcbbacacbacbcacabadbcaadacdaadaacdcddbcaddabacbbadaddddbdabacd
+bacaadacdbddccdddccbabbdcbddddbdabbdddabcdbcbabababbdbcbaaacbcadccaddbadd
+adcacccddbbadadacaababbabacdaadcacdbdbdacbbdddbbcdabbaabbcdaacadbdacddbcbdbbbbabcbc
+bdbdaaabdacdabdadadcadabdabbdaabcadcabbcbaccddcdcaddabdabbacaddbcccdaddcdddbabdaabbcbbcacabdac
+abccbdbacdbdcdabbcadcaddd
+badabaacdbbdbdbaaccdcbcddbddccdbbacdabbddbadabdabbadabaddacbddbaadbbcccacacddcadccdaabdba
+babcdcdcbaacdd
+bcbdddbaccdabacbcbdadcaacbcddadcbcaaaaccbdbdadcabbcbdcccddcaacdc
+bacbcaccadbcdddacbcbdccdbdbcacddcabcdaccbdccbadcbddcbcbbcddbadacacaccabbbcaacbadbacababbda
+cbbdabbbadaacdddacdbcdcdbbbbdbaccdaddacccaddcaabbbcbcbadacbaa
+addbdacbdbaacccdbabcbcdabcbdccbaacdcdcdbdbcdaadacbdbacdcbcaacdbadbdccdcaaadabadcdcd
+ccbcaabadabcccdbbabccadbacccdaaaccbadbadbacaabcaaababddcadcabdcbdbbaabbdbbbbddabaaadbddaacccbddcadcdcac
+cdaabdbbabaabcdabcbbbcbbbcaabdbabbaacbccaddcabaddaddaacaaadbbcddabbcaacabbabada
+cadbacadcdadcaadccacacabbdddccdaaacacacadbddcabacaddcdcacbaad
+adabbbbddcaacadaaabbaadbbaabbbcdabcbdbcabdaccacbdbacccdbcaccddadacccdcdddcacdcdccddacacddbddcaccd
+addaacdcaabadabcbbabdcabddbb
+baadccbdaaddbdaacdbdbdccaddabaccaaaabbddbb
+79 53
+dcaccabbcdcbcdbbaabadaacddaadbbbaacbcddcaddaccbccaabbcaabcdbd
+bbbdccdbacacdbbdbbcadabcaacccadcbbdccdcdbddbbcaacdcdaabdcaaccdbbdacaa
+aabddaaccdbababdcaa
+aacccbcabbbdbbaaaaddadbbcbcdbcabbacbdab
+cbcdbcbbbacdcaabdbbaaccdababddbacacbcccbbcbdbcdabcdbadd
+daacccdddddcbbbcdadccdbdaccbcdaabdadddaaabddddaba
+bbccabcdbcacdbaabccacadddbcbadabadcbddababacaddacdbbbcdbbaaddc
+babbbddaccdacabddaabcdcdcdbbdbbadaaaccabdcbdadddaabcddc
+caddcbacacbbcdbcbbccccbbccdcccaadbbdacccddaccaaddbbcbcbbabbcadccdddbbcdadbbbcbdadbcbbcadbcacbaccabaaadda
+aabaaddabbbbccbaabbabbadcabaddcacdccadcbacdcbdacbcddbacdaacddbbbcaaacaccbaddd
+addcccbdddaadcddabdcddadcaaadcbdddcdbcccabaccbaccbcacddbdddaadcbbcabdbbbddbbddabdaacb
+bcbdbdbcbbadcccddcdccaacdaabbdabadbdbdbabbccdcacaaacbaddaabcabbdabdbbdbdadcbcbbadacbaaaccccdcccdadcaaaba
+abaaadbacacbbcaadcbdcaadcabcbbadcabcddcddadcaaddabcababcbbcaadddacacbdbabcbcdaaaddcaaaacaccdabbbb
+aacbaadbadddbaaaacbccabcabcbaaccddcbddadabc
+adcccbdcadcbddbccdcaddcbdccccaddaac
+abcddbbababbbbcddabddbda
+cbacababddccbaacaccdaaaadcaddacadccbbcaaddabddadbcabcddccdddccaacbdcccdb
+acbbbcddbccdcdbabadbcddbbdcababdbabdddd
+dcadaddaaacddabcdcccbaaacbcacbbdcccbcdacacbadccdbcdbbddbdabbdacbdbcbadaa
+bcbbbaddbacdcbabbdbbcabdbbcaacacabbbccdacdadacababccdadcdb
+ccabadbbababbdabdcabcdbbddacbdabddadbdbdbcccd
+ddccdbdaadbbaacadbcbcbabcbbdbabbccaacbbdabdbcdaccccababdadcaab
+dadaaadcdabcaabcbdacaadccbbbdbdcdcacccdbcdabdcaaacaaacdbddcdcd
+acbbcbccccacabbabaadabcbbaadbbcacbdbbb
+acaddcacbdcabababadababaaabcabccdbabddbacbdddadddacaadccadd
+cbddcaaabcaacbcbbbaacddddadbcc
+abdabdacbcdddddbbbcdadddcdcacabcccac
+cbadbcabcdbdddcccccadababcdddbdabcdbcbaccdccbddabaccbbcc
+bcaadadbdcacbbaddcadcadcbbdcccbbbbaaacdddbdbdabcbbabdddab
+cbcbcabaababcaaacddcadddccdaccddbadbcda
+adcabdcddadcdacdaccbaca
+ddadbaacbddcdbbcacbcddabdaaadbabcaccabaacdbdcbd
+abacbbbaddd
+ddbcdbdddcdbbbccdddaccbbaabaabbcbddbadcccabcabdddddabaccccbdadaacddbdcaabbab
+adabbbbbdbabcddcccccccadaacbcdbbcccbdaddbccabdaccabbacbadbbcaadbbdcdabababbcdabdcdd
+dbccbcbcccdadbcdcbdbdcdccabbadacbaaaaccbbaabcdcaaccacacacaabbcdbccbaaadbaaca
+bbddbccabcdcccbdaacddbbadccbaccadaccbaabddccbcccdccab
+aadbacdcacbcabdbbddabcbdcdbcdcaadbacccccdaadabacddbaab
+dcaaccdaacbbdb
+dacbdcdcacbdcdc
+bacdcccccdabccbbbbdacacb
+aaddcbacabbacacaabaabbccccdbdcdcbcbacabaabdacaddcdadcaacdabbdddcbabcdddabdcabaaddabba
+cdadcabbdabbcbaacaddaabdcbcadccdbdacbdddacacbdcbcbcdd
+cbcddbccbbadaacbbbcbaadaabdcddccbabb
+adadadbdcbaadcbdddaaddba
+dabacababccadacdadccbdabddcbbcbaadc
+ddcaadcadcadabdacadadcbccdaaccddcadddbadbbdbcadbdcadca
+dccbaacdacadacdcdaabbbbcddcbbadadbbdcbdbaaabaaadadddbabcaccacdcaccadadadcaabddbbadcddd
+dabdddcada
+cabadabaabbcdbdddcdcdbaaaabacbdcabdccabdcddcbbdbccbcbdaaaccbaaacbdac
+cdcbddadacbdbbdacaadcdaccabdcbaaddddbcacd
+ccdabdbbcccbbbadabdbbbabbabbbcabcabbacbcdabcdbbbdab
+cccdbbbcaaadabadadcdcccbddcbcdcdaaaabacbccdcaddccdadcacdcbcabcaaabdcbadbd
+adcadbdabdbbdadddbbddddbcbcccbdcbbcadcccabcaaaccdccaadbacbcdbbaabcddbbcbdbbdcbaaabaadcdddcbaccbcaadaddb
+aacaaddccbdbca
+bdcaaddcdbbbadddcacabccbccbcbbcbdabbdadbabcccdabaabbbcdabbbacdddabadcbbcdcbacadbdddadcdacdcdaacabaabcddb
+adadbbdcadabcacccbbbbdbabaadacbbcadbbdbcccaddabcbaadbbbcc
+ddcbdbdddabdabcccbbdcbdcabddccdabbbaaacbcdbdddadcaabdcdbacbacccaada
+cbdcacbbccadcbdbaabcadbcccbaacababdbddbabcbcdbcbcdabcdaddacaaddcabcbbbcaaddabadacdacbcaaabccc
+cccaccbdbdcdbcabacdbcbbbbac
+ddaabdabacdbabdbaddbcaadbbbbadbcabbbababbbcbbadbbc
+cddccdcaadbaaaabbbddacdbddcaaa
+accacbdbabbddcdccbabbaaaacdccbccddaabadabadbcda
+bcdddaabbbddcbaadbdcbccaabbcdaddadaacaacaadabbacbdcdbbbabbddabadbcdbbacaccdabcbcdcddcbcbdcdd
+addcdadbccacccc
+bcacbbdcbdccbacaacdbbcacadaaaabcbdcbabdbbbddcabadbdcbcbcdbbbddbdbddddaadcdbbcbadbccbddccbbda
+acbacadcbcacdbbacbdaadabcccdbcaadcabddabccbcbbcccabbbacbccbbbdacdddadd
+cbbabdccdcdadbcccccbdadccabcababccadabd
+bdaabbcdaaaddbcdcdabadadccdcbbcddaccac
+ddcdbcdddcaccadbcbdbbadcdacaabacadddbbcabadccdabdddccddbcbccaacdddcbdcacaaccacdacdbbcccdddccacadcdcdadadbac
+baaaaaccbccadabdcda
+dddbabbcbadcacbdbcdcaadcdacdbaaadcacabbdacbcddbdbadcdbcacbacbdccbcaddbdbaaddadddcabdbc
+cbadbdadcdcbcaabdaadddbbacdbdacaaccabbbbcbadbbcabbccccbbdaddacada
+bbaabcdccabdcaabdddcbdacbdcbbddddccdcb
+ddacbbcdcdabdbccbcdcbbcbbdbdbbdacdaaaddaaabbbbcddbbcbcadcacaab
+adbabbdcbcccdcdaaaacadabdbcabadadcddcddbbcd
+ddcccdcabcaadccbcadbbdbabcdcdaadbcbacabcdaadaddbacdccccbdbbbbcbab
+cbcbcbcaadad
+ddbacbcccdacacbbacbddbaddcbbadcbcaab
+146 122
+aababaabbbbaabbabbababbbaaaaabbbbbbaaaaaabaaabbabababbabababaabbaabbabaabbaaaaa
+babaabaabaabaabbbbbbaaababbbbaaabbbaabbaaababbbbaababaaabbb
+bbbbabaaababba
+baababbabababbbaaabbbbbaaabbbababbaaaaabaaabbabbbbaabaabbabaabbabababbaa
+bbbaabbbaabababababbabaaaabbbbbabbaba
+bbbaaaaaabaaabaabbbaaabaabbababb
+aaabbbbbbbbbabbbaaaaabbabababbabbaaaaabaaaaabbbaabbbaab
+aabbbaabaaaaabababbbabaaababbaabbbaaaabbaabbabaabbbbabababaabbbababbabbbaabababaabbbbbaabaabaabaababbbaaaaaba
+aabaaabaabbaabaabbbbbbbaaabababaabaaaabbaaaaabbbabaaabbbaabbbbaabab
+aaaabbaababbbbbabbabbaabbababbaaabbaabbabbbbabaababbbbaabbbbabaabbabaababaaabaabaababaaaa
+abbbaaabbaabbabbbbbaabaaaaababbabbabbabbaaabbaaaaab
+bbbbabbbaaaababbbbbbababa
+aabaabbbabaaabbbbbaabaabaaaabababaabaaaabaabbabaabbabbababaaabbaaabbabbabaabbbbabaabbbaabaabbaaabbb
+bbbabbbaaababbabbbababaabaaaababbbaabbabbbbbababbabbbaabaaaabaaaababbaab
+bbaaabbbabaaaabbbabaabbabaaaabbbbbbb
+aaabbabbbababbabbbaabbabaaabaababbbbabbaaaaaabaababbabbbaaaaaaabaaabaabbbbaaaaabbbaaabaabaaaabbbbaababab
+baaaabbabbabaaaabbabbaababaababbabababaaaaaababbbabaabaababab
+babaaaaabaabaaaaaaabbbaabbaaaaaaaaaabaaabbaabaabb
+babaabbabbbbbbbaabbababbbbbbbabababbabbaaabaabaababbbb
+aaaaabbabbbbababbababababbabbbaababaabaaaabbbbbbba
+baababaaababbbaabbabbbaababaabaabaa
+abbbabbbbabbbabbbabbaaabbaababbaa
+aabbaaabbababbbbaaaaabbbabaaabaababbbabbbbbbab
+aaabbabbbbabaaaabbbaaaaaaaabbababbaaabaaabbbabbbbabbbbbaaabaabaaababbbbbabaabbbaa
+bbabaaabababababbbbabbbabbababaabaabbaaaababbaaaaabbbbabbababaabaababbaabbbaabbabbaba
+bbbababaababababbaaabbaaaabbaaaaaaaabbaaaaababbaabbababaaba
+abaabaabbbaabaababbaabbbbbbbababbbaaaaaabbabaaaabbbaaabaabbaaaaababbaaaaaabbbaaababbbba
+bbbbbbabaabbbbbaababaaaaaa
+abaabaabbbaaaabbbbababaabbababbbaa
+babbabbbabbaaaababbbaabbbabaaaabbbbbbaabababbbbbaaaaaabbb
+abaabbabababaaabbbaabbab
+ababbbbbbaabaabbbbaaababbabbbbababbabbababaaaabbbbbbbabbb
+ababaababbbaabbaabbbbaaaaababbbbabbbaabbabbaaaabbbababbaabbaababaabaabaababbabbbbaaababbabaaaabba
+aaaabbababababaaaaaaabbaabbaaaababaaabbbaabbbbabbbabbbbbbbaaabbbbbbbbbbaaaabbbaa
+aabaaaaaabaaababbbbabaab
+babbbabbbbbababbaaababbbaaaaaabaaaababbabbbbbbbbaaaaaabbb
+aaaababaaaaaaaabaabbbbaaaaabbab
+abaaaaabbbabbbababbabbabaaababaabbbabbba
+abbbabababaabbaaabbabbbbaaaaabaaabababbbaabbaabbbabbbabbbbabaababbabababbbabababaaababbaabbbab
+baaabbbaabbbab
+bbaabbaabaaabbaaaabbbaabababbabbaabbaaaababababbaabaaababbaabaaabbaaabbbbbabbbbbaaaababbababaabbbabaaba
+baaababbaaaaabababaabaaaaabababaabbabbbaabb
+bbbbaabbba
+baaabbbaaa
+babaabbbbabbababbbaaabbbbbbbaaaabbaabbba
+abbbaaaababaaaabababbbbaaabbabbbbaaaaaabaababaaaababbaaaabbabbaababbbbabaabbaabbba
+aababbaabbbbbaaaaaaaaaaaababaaaaaaabbabbbaaaababbababbbbbabaaabaabbababaabababbbbbabaaaabaaaababbbaaa
+bbbababaababbaababaabbaabbbababbaaabbbbbbbbbbbaaabaabbbaaaaaaaaabbb
+bbaaaabbbaaaabbbbaabbbaaaaaaaa
+bbbababababaababbbbaaabbaabbaabbababababbbabbab
+aaabbbbbbbabbaabaaaaabaabbbbaababbabaaaaababbaabaabbbbabbabbbbababaaababbbaabbabaababaab
+babbabaabaaaababb
+bbbbbbbbaabaababbababab
+aaaabaaabbaabb
+baabbbbbbbbbbbabbaaaaababaaaaabaabbabbaaabbbbababaabbaaaaaaabbaaabbabb
+aaaabaaaabaabaabbbbbbbaabbbbbabababbaababaaaaabbabaababaabbbbbb
+babbbbbabbbaaaababbbbaaabbbbbaaabbbbbabbabbbaaababbbba
+bbabbaaaaaaaababbab
+abbbbbabbaaaabaababba
+bbababababaaaaaaabaabbbbbbbabbabababbabbabbaaabbabaaaabbabbbababbbabbaaaaaaaaabaababbbaabbaababbaaa
+abaababaaaababaabb
+bbbaaabbaaaabbbaaaabab
+aabbaabaaaababba
+bababaabbabbaaabbbaabab
+bbaabbbbbaababbabbb
+ababbbbbababbbbabaaaabbabbbbaaaaaaababbbaaaaaaaaaaaababaabaabbabbb
+bbbbbabbbbaaabbbbbaaabaaaabaaabbbbababbbbbabbaaabbaabbbbbbabbbbaaababaaabaabaaaa
+bbbaaaaabababbabbaaabaabbbabaabbbbababbaaababaababaaaababaabbbaabaaabbbbaaaababaaababbabbaaab
+aaabbbababaababaabaaaabababbabb
+bbaaaababbbabababbbbbabbaaabbababaaababbbabb
+abaabababbbaababbababbabbaabaaabbaaab
+abbbaabbbaaaaaababbbaabaaababbabaaaaaaaaaaa
+babbbbabaabbababbbaaabbaab
+aaabbbaabaababba
+abbabaabaaaabaaabaa
+aabbbabbaabababaaaaaaabaaabaababaaababaabbaaaabaabbbbbaaabaabbbabbabbbabbab
+abababaabbbababaaaababaaabaabbabbabababaaaaaaabbbbbaababbabbabbbaaaaabbbbaaabbaaaababababaabbab
+ababaaaabbbabaabbbabbaaaaaaaabbbabbaaababababaaaaa
+baaababbabaaabbababbabbaaaabbbbabaabbaababaaabbaabbaabbbbaabbbaaaaaaaaaabaaaaaaabbbbba
+baaaabbbbbaaaabbabbbbabababaaaaaabbbaabaaaabbabbbbbbaaabbabaaabbbbaabbababaaa
+bbbabbbaaaaabbaabbbabbbbabbbabbabab
+babbbaaabbabbbbbababbabaabbaaabbbb
+baaababbababbabbbbbaabaabba
+baaabbbbbabbabbbabbabbababaaabbbabbbaaabbbbb
+bbabbbbabaaabababbbbabbbbbbabbaababbabbbbbbbabbaaabaaaaabbaab
+bbaaababaaabababbaaaaabbbabaabbbababaa
+ababaabbbbabababbaabbbaaaaaaabbbbabbaabaabaabaabaabbbabbabaaabbabbabbbbbbbbabababaabaaaaaaaaabaabbaaababbab
+abaaababbabbabbaababbb
+baabaabbbabaaaabbbabaabbaaababaaabbaababaabbbababaabbbabbbabbbb
+abaababbbaabbabaaabababaaabaaaababaabbbbbabaabababaaababababbabaabaaabaababa
+abbbaaabbab
+baabbbbabaabbababbaaabaababbababbbbbbaaaababbbbbaaaabbba
+baabbaaabbbababbaabaababbaaaaabb
+baababbabbaabbaabbaaaaababaaababbaabbbbabbbbaabbbbbaababbaabbaaaaaabaaabbababbabaabba
+aaaaababbaabbbbbaaababaabbaaaba
+babbababbbbbbbbaaaabbaabababaaaabbbbabaababbaaabbabbabbabaabbbaababbbbabaaaabaaabba
+bbbaabaaabababaaabbabbaaaababbbb
+abbbabbaaabbbbaaabbbbaabbbbbbababbbbbabababaabbaabbbaaabababbbba
+aaabbbbabbbaaaabaababbbaabbabaaababaabbbbbabaababbbabbbbbbabbababbababbbbaabbababbbbbbabbbabaaababababbbaaaaa
+bbbababbabbaaabbaaababbabbabbabbaababbabaabaaaaaabbbaabbbbbbaabbabababaababababaaabaaab
+abbabbbaabbbbbaababaaa
+bbbaabaabbbbbaaababbbbaaabbaababaaabbababbbbaaaabaaababaab
+bbbbbbabaababbbbba
+abbbabbabaabbbbbbbaabbbabaaababbabaabaaaabababbbabbbabbabaabaabbababbbbbabbabababbaababbbbba
+babaaaabababbbaaabaaababbbbbbaaaabaaabbbbaaaaabbbabaabaaabaaabbbaaabbaaababbbaaababaaabbababbba
+aaaaaaabbaabaabbbaababababbaabbbabba
+babababbbbaa
+aabbbbabbaaababbaaaabbaaaaaabbbaaabbbaabbbabbabaababbbbbbaaaabbaaaabbbbbbb
+ababaaababbaabbaabbbbbbaaabbababbbaabaaabababbbabbbaabbaaabbbaabbbabbbbbbaaababaabaabbaaaabbababbbabbbb
+aabababbbaababaabaabababaaababaababbbbaaabbabababbbabababbabbbbaaababbbbabbbbb
+babbbabbbabbaaaabbbaaaabbaaaaaaabbbbababbbabbababbbababbbbbabababb
+aaaabbaababbbbbbbaaabbabbaaabbbbbbaaababbababababb
+abaabbaabbbabbbbbbbabbbb
+baabbbaaaabaaabaaaabbaababaabbbaabbabbbabbaaaaababaaabaaaabbbbbbbaabbbababbabbababababbaabaaabaa
+babbbbabaaaaababababababaaaaaabbabbaabababbab
+aabbaabbbababbbbaaabababbaaaaaaaabbabbaa
+abbaabbabaaabaabbabbbaaabaabbaaabaabbbbbaabababbbbbaababbbbaaaa
+bbbaaabaaaabaaabbbbaabaaaabaaaabaababbaaaabbbbbbaaaaaaaaababbaabaabbbbaaababaaabbbbabaabaababb
+bbbbbbaababaabbbbbaaaabababbbaaaaaaababaaababaaabaababbbbbbaaaabaaabbbaaaaaabbaabaaaabb
+bbbbbabbabababb
+aaaaabbaaaaabaabbaabababababbbabaaabbababbaa
+abbaabbabaaaaababaabbaababbabaabbaaaaaabbaababababbaaabaabbaaabaabbaababaaaaabaaaababbbbbbababab
+bababbbbbbbbaabbbbaababbaaaabaaabbabbaaaa
+babaababaabbbabaaaabababbaabbabbbabbabababbbbbbabaaaaabbaabaabbbbbbaabbabbaaaaabbbaaaababbbaabbababa
+bbabaabbabababbbababaabbababbaabbbaaabbaaaaabbaaaabbabababbbababaababbbabaaaaaaababaaaabaaaaabbaaa
+baabbaabbbbaabbabbabaaabbabaabbaaabaabbbbaabbbbabbbbbbbbababaaabbaa
+bbbaaababbabbaabbbbbabbbbaaaaaaaba
+aaaabaaabbabaaaaabbbbbbbabaaaaaaababbaabbabaaaabbaaabaabaabbabbaabbaabbabbbbabbababa
+abbbabbabbabbbaaaabaabaaaababbaababbbbaabababbababbaaababaabbababaa
+baaaabbabaabababbabbbbabbbbbabaababbabbbabaabbabbabbbaabbaaabbbababbbabaabaaaabbbba
+babbbaabbabbbbabbaaabbaaaabbabbbbbbbaaababaaababbabbbbabbbaababbabababbbaabbababbbabaabab
+aabaaababbaabaabbbbbaabaababbabaabbaaaabaabbbabababaabbaaaabbbbbaaaaabbaaabbabba
+abbabbaaaabababbaaababaabbbbaaabbbabbaabaaaabbabbaabababaabbaaababbabbabbaaabbabbabb
+bbbbaabbbbababbbaabbaabbbaaaabbaaaabbbbabbbaabbabababbabbaabbbbbabaaabbbababbbbabbbbaaaababbabbabbaaab
+bbaaabaabbbbaaaabaabbaaabaabbbabaaaabaaabbbabaaabbbabbaaaaaabaaaaabababb
+baaabbbababbbbaaabbbabababbabbbaaabaababa
+bbbaabaaabbaaaaaababaabbabbaaabaaababbaabaaabbbbaabaaabbbaababbaabaabababbabaabaabbbaaababaababaaaabaabb
+abbbababaabaabbbaaabaaabaabaabbbabbbaaababa
+aaaabaaabbaabbabbbaaabababbbbaabbbaaaabbbab
+ababbabbbaababbaabb
+aaaaaabbabbaaaaaaabaabbbabbabaabababaabbbaaaaabbbbbbbbaaabbabaaabbbbabbabbabab
+bbbbbbbabbaabbbaaaaabbabbaaabaab
+bbababbabbbabaaaabaaaaabbbabbabaaabababbabbbaabaabaaaaabaaababbbabaaababbabbbaaabbabbbbaaa
+bbbbbabbbbabbababababaaaabbbaab
+bbaabaabbbbbabaaaabbaaabaababbabaabbbbaabbaaabbabbabbbbbaaaabaabbababa
+baaaababaaaaaaaabbaabbbabbbbabaabbaabaaaabbabbaaabbaaaaaaabbbababbabaabbababaaabbbaababbaaa
+100 75
+adbccdacaacdcccadababaccaccaaadbacdcaccbdbbdbbcdcacbdddacadcccb
+aaddadccdaabbaccbabdcbaaacccaabdbcccaaccdadbaaabcaacbbca
+dabaddadaccddadcdbbbadacbcabddbaabaddbcbcddcbdbaadadcacacccddcbbcdbdacbcabcaabbbbacadbcbddc
+bcbdacdadbbdbbabcabcaccbbcdadbdbbdcbddbbacbbdbbbccdabbcaabcacaaddadbdbaababcdcccbaa
+dadbabcbcdbdbbdbcdabadcbbbadbdacdddbbdcdcacadcabddaaacaadbdbddcaddcbdbdaddcccddccddaccaddda
+abbacbcdaabdaaaaaddbbcddacaaccdbadaddbdadddcbacbaaadcccccccccaabcbdaabbabcbbbaaaacacabdadbac
+badccabbadacadaaccbbaccbbccdbddaadacbbaaccccaadbdcbdbdababbdaadc
+aadcbcddbcaadddbacaccaccbdabccddabbddcabdbdcaabacbcdacacdacbcdabdbbacbacadbdcdccbddcaaabbdccddbaaaccddcbadd
+cabadadcbbcadbdacdabcacaabdcdcbcbcbddacdacdadadbccaccbaabcdadb
+cdbdbcdbacacdcdadbbccaaabacccdadcbacaaacbccaaaaccdbdddbbbdabaacaccabcac
+dcabacddbcacaacbdacbacddbbdababccadbadbdddccccaca
+ccaabbbbbabcbacbdcbbbabccaccbabddccabbbcdaccaaadcadaccddaccdabbcbbadbcbccaaddcddcbbd
+bbacabdabdadbbbabcbcccdbcbdbbbcacabcdacddccbdaaabccbadadbbcabdddbbcadbaa
+abbcaaaaabbdcdcabbabccabcbbddbacaaddadcbadbcdbcbddaddbdbcbbccdcbabcddaabadabcbabbccbbdbdcdbcaddddaccbdc
+aabcadcbbdcdacdc
+ddbacdcdacdaddaabcbaabbacdbcacbcadcabadccbdadbbcccdcddddbdcdbdbcdd
+bdcbaccbacbdccacadadbddbccbbccabdddccddcaacdbdbbcdcdbbccbdbaaddbdaaccbdadbbddd
+abdddacbddaccbcaaabcdbcbaacbcdcdcdcdbaddddcbb
+abcdccdbdcdabbaacdcbbac
+baabccaaadddbdabdbcbbbaaadabbbaddaaddcccdddababadcdddddbddadccabcdacbcbdbddaaaab
+dbaccabccdadaadadddbbbaabbadaa
+abbbaabbddaccadbbcccabbaababdaccaacdbbaacdbb
+adabddbdbddacdcacabaaccabbcaccdbcddacdd
+caccadcbcddabadcddccdcbbbdccabbdaadbbabddabbbcbdbbddbccdadaaddabadddabbbdcdbbadaaababadbdaabdccbaad
+bcccadaabcddabdbdbcaaaacbadbcdbaccbccacdbbbdadbacaaacbdcabdbcbaccadaccdbdddcdabab
+addabacaacacabdabbbdbadbcbcaccacaabaaacacaabbad
+dbbcbbaaddabddbaababbdadcdacbaadbddacbcbdbdbcbabaadcdaccaaddabcccabbdbbdbadabac
+cbcabcbabbddcbdcaaaabbcbddbbacddccdddbcdbacbcadabbabccdbcbdbadccdaadddcadadba
+cabcabccdddbababbadadcbaaadadcdbbbcbcbadbacacdadaccccadbbcddcdabcdddccadd
+acbbdbcddbcbdacacabdaaaaaadcaadbbbbadbadcababadcacbcbddbdcadcccaccaddcccadcbcdbcaabacbacbaacadab
+bdcccbbcdcacdadabdadaabdcccbcaccddbdcbbdcdcddccdacbaadabbbacddcdccbdcbcbabdbcadadb
+dbaaaabaaaaccbaabaadabbbdbabbaaccdcaddaacdbdbdcbbdcbcaccaddccbdbdccbbdbddbba
+babbdacabbcd
+dadbcbdbccd
+cabbabcabbacbbbabdddcabacddddcdbbdabdcabadcadddaaacbcbd
+bbbddbabcdbaabdabbabbccddacaddcbdaabdcbadbaabcbdacdbbdadaa
+acdcccccccbabbaaaccbcbbaabbadcbaacbdbcaddcdcaadcdbcaadc
+ddbbaddcdabdccdcdddccbcbbcaddadbddbccbbcbbbbbdabacaaabbbacabbbab
+cdcdbbbcbacbbdaacadddcaacbadbbcccbcdacbbcbbaccbbaddacdaadccbcaabbcabb
+bcaaacccdd
+abbadcddbdbaadbadbbdbaabdadcddbbdcbdacdacdbdbabcccaddbacdcabdabcacbbbbabcdcbcadabdccadaaca
+dabdabdccbcaaccd
+dbdbdaccabbbadddbacdcbbccbbbdbddbddcbdadbbbcacdbacbcccaaacddcbabdabacbcacaaacdaaaacc
+cbadccadbdccacaaccddcbbaaacdbaadabacdcbddbbbddddaccdabddbcaaddcadbbdbcddcdddddab
+abbbabbdacdcddaaccbcdbbcdcddcadddbccabdcaacabddabcbadccdbabbddcbaddabbaddbdbdcbcccbcddcccaacdcaadad
+cbdadbccdbabbdadbbcdacbbcabddcacbbcdabdcacbbaaaaadcd
+ddcbcddaacbbcbbbbccabccbdacd
+cbdadacbacbcacbbdadaaabcaaabbdbdababdaacadbbbdcbacdacdcadbcaadbbabdcbcbaabacccdccabdaccdacbbcbb
+babacbcdadacccdbd
+bbcabdccaadadccdadbbdbabcdacbabcbbcbcbcaa
+adcbadbdbbdacddaccbadccabadbbdbbcbabdbaadbdb
+abcbbcaddbadddbbcbda
+ddbdbccdbccdabadbddc
+ddcbcbacccdbcaacbcaabaddcdbdcacd
+ccdadcbdbddcbabbcadacdccaabbcddbadabcccabbdbdccdddacaddaacdaccc
+cbaacccadadacdccadcccbaddacbcccabcabbcbdadddbacadabcddabdbadbabbbcbdabbccacddbbcbbcb
+ababccabdcbdbbbc
+accadcdbaadbaacbcddcdbbdbccbccdbccbbacbdcacabbdaaaaaabccaacaddcaaabaacbbabadcaababcadabbabbcaaacbcbcabc
+ccbdacbcdabdcdabddcaacdbabadcddcaaddadbacccabadbdcbbdbbcddbdcaaddcdbdaadccaacbacd
+ddcdcbbdccbabcabbacabcbbacccabaabcbdabdcaddbdbcdccabaacadaccdcdad
+aabccbdbdcbaacadcaabcdccbdbccbddbabbbbadcbcbdadbccdddaccacadbdacbadaddaddccbccabbcabdcdbbaddbdca
+ddabcccdadc
+abbdddccabddbadddccadabdddcadcdccbdbdabaacdbbacaddbdcdadaacadadbddadabcccaddacbcbabdcdcdcbdccdccdaaddd
+cccaaadaaddadabdaaabbbbbdbadadcadadb
+addabcdcdbadddadbdccabdbbacbcddcadcddaacdadaccdcdcbcdca
+bddccbcabbaaadacbbadbaddbdabdcaaabaddcbc
+abaacdabcdb
+bdccddabdbaaacbcccdccbbaddccbccddbccdadbacadccadabddddcacabcddacbabcacddcddcbdaabaaaacbd
+acbcbacccccdaabbcacccbdcdcaaacccbadcaabbaacabbdcabcdbc
+cccbcdbaaccdacdccbccccbcacdcbcdbbbaccdacadcdbabacdbadbcdccdabcbddbccdadcbbacb
+bdadcccdcdcdbdbdccaabddadadbddcbbbccdcacccabcadcd
+addabdbaacadbbcaddccdcaadadbbcbccaadaddccdaccaabcdcbacacadcacbaaabdadcbcdcbacadcaaacaaac
+daaaabccdacdabbdbacdacabcbacbcbbdabadaadbbddbccbbcbddaabaadbdbbbddccaaddcbcbdcabcddabdbbcbbddbdbcdacaadcdcc
+cadacaaccbdda
+ccdbcbdbbdaadcdbaadaccabaabaddbbbbbdaadabbdbccabaccbbc
+bacccbdbabbaccaacabcdddbcbdcdbdbdbcbdad
+daddbbddbbbdcaacabccbbbbabdadccaccdacdddcadacabdbaaaddddddcadcdcdbbddbddabcada
+ddaabacdadaccdcbababbcbcadaabbbcddaccaacabbaabdccdbc
+dbccccdbadcaaddcadcacacaaabcdbbdabbadbcbbda
+acadaddbbacdabdccbacbdbaccdcaaacccacbccadacbbaad
+cbcbabdbbdbbbdcacbabddadcdcbccdbbadabbcacadaacddccdbbaccababacacddcdcdcbadcddadcdcaadabdbbdadbd
+cabbccbaadaccdcdadccbbadddddbcbd
+cbaddaabaaabbcddbdcccabdcadddccabbadbccdada
+dbaacbdbbdcccdadddcddbbdccbdbdbbacd
+bddcbccbadaabacaadcdabadddcdbdccaddadbccddacabccacdcb
+bdabcdbcabbcdddabcbcddccaddcbadcdcaadddcaabdabbcccbacccdcaabaadacddbdcacccbcddcdcbaaadcbcbdbbdbcadbaccaad
+aacbdbbcaaddaabdcadcbacbabba
+cbbddabadcddabcacacacacadcddbbdddbdabdcccbcacacdcdcbbaadbbbaabcdbbaaddd
+dbcdbdddccbdabccacdccbccacababbddacbbbdbacdaaaabbcaaadbbddaadccdbacdbcbbbdbadbdbbdddabcddbcdcccdbacd
+bbddbccdbbaaddbdbc
+ddbcdabcaddccdcbbadabaddddcaccbabdbbbaaddabdabbaaddacadddccabcaacddbacdadcdaddacddccb
+acadccccbcbadbdcdaddbcaacaabdcddcccaadbcdcbdcaccdbaccdbdcddbbcddcabdccaddacadabcdbbdaaad
+bddbabcdcdcbaaadccabbdcdaabdabcbdbc
+dcbabcccbaacdcacddcaababbbccaccabbbdbadacddcacdbbdcbaadbcbdc
+cbdbacabddaaaabadccbad
+bbbbcdcdbadaddabacabacaadbddc
+bcbdaddcabacbbcdabdddaaddaabaabdcaaacb
+daddcadcabb
+adaaccddbacccbbaababaaabadbdbbcaccdcdacbcabddcbacadcbbabcadacb
+bcbddbccbacdbacdabbdbbcccbdaaadadcacccaddddaddcbddadcacbbdaadabacadaccbddc
+97 15
+bababbbbbabbabbbabbbabaababaababaabbbababbaaaabbaaaaabbaaaababaabbbaababaaababbbabababababbabb
+abbabbbbbbbbabbbaaabbbbaabaaaabbbabbbaa
+babbbbaabbaaaaabbbbbaabbbababaababa
+bababbaaabbaaaaaababababbbaababbbbbbaabbbbbaabaabbabbaaabbbabababbbbbabbbaabbbbbaaababbaba
+bbbbbabaaabbaaaabaabababaaaaabbbbababbbabbbbabbbabaaababaaabbaaba
+bbaaaaabaaabababbbbbaabababaaabbabbbbbababababbabbaaabbbbbbbaabababaabbbbbbbbbbaaabaabbaa
+abbbaaaabaabbaabbbaaaabbbabaabaabababbaaaabbbbaababaaba
+baaabbaaababbbbbabaaababa
+aaabaabbaababbaaabbbaaabaabbabbabaababa
+bbbbabbaabbabaabbbabbaaaaabaaaaabbaaabaabbabaabaabbbaababbbbabbaabbbbbbbbaabaaabaabbaabaabbbbbbbbaabba
+abbbaaaababaabbbaabbabbabbaaabababaababaaabaabbbababbbbbbaabbbbbaaababaaaabbaa
+bbbbbaabaaaaba
+abbbaaaabbaaababaabbbabbabbabaaababbaaabaabbbbaaabbaaababbabbbaaabaaaaabbbbaabbbabaabbaaabaaaabaaabaabaabb
+abbbbaabbbbbabbaabababaaabbbaabbbaab
+bbaabbababbababaabaaaaaaa
+aaaaababbababbabbbbbabaaaaabababbababaaaaaabaaaabaabbbbaaabaabbbbababba
+baaabaabbbbaaabbbbbaaaabbbaaaaabbabaabbaababaaaabbbbabaaabbbbbababbbabbbabbabbbaaaaaaaababa
+babbabbbaabbaaaaababbababbabaabbaaaba
+abaabaabbbaaaabbaaabbbabbaaaababaabaaabaababbaaaaaabaabaababbaaabbaaabbbaabbaaaaaaaaaababaabbaabbabaaaabab
+aaabbabbababaaabaabababaaabbaabaabbaabbbbababbbbaaababbbbbbabbaabaaababbbaabbbbbbabbaabbabaaaabababbb
+bbbaaabbbabbbbbbababbaababbbbabababbbabbbbbababbaababbabbbbbbbabbababababbaaabbabbbaabaa
+aabbaababaaabbaaaaaaab
+aabaabbabbbabbabbab
+abaaabbaababbbbbbabbbbbbbabbababbbaaaaabbbbaaaabbabbbabbaabbbbbabaabbaababaabbbbbbabab
+aaabababbaaaabaababa
+bbababbabbabaabaaabbaaabbbabaaabbaaaabbabaababbabbbaaaababaabbabaabaabbaaaabaabbbbbbb
+abababbbbbbbababbbabaaaabbbaababba
+baabbabaaaaabaababbab
+baaabaaabaabbbaaaaaaababaabbabababaababbbaaaaaabbaabbaaabba
+aabaabaabbbababbababaabaababaaabbaabababbbabaaabaabbabbbaabaa
+bbaaaaabbaabbaababaababaaaabbbabbabbaaaabaababbaa
+abaabbbbaaabbbabbabbaabaaabbbaaaabababaabababaaaaaaabbbaabbabab
+babbaaaaaabaabbababbbbaabbabbaaabbbaaab
+abbabbababbbbbbabaaabbaabaabbbaabbabababaabbabaaaababaabbbbbabababb
+babaabaabbaababbbaabaabbabaaabbabbaaabaaabaababb
+baabaaababababbaaabbaaaaababbaabbbbbbbabaaaaabbbaaabbbabbbbaabbababbabaaabbbabbbbbbaabbbabbaaaabaababaaababa
+bbababbaabbbaabbabababbaababbbbbaabbabbaaab
+aabbbbababaaabbabbaaabbbbabbbbababababa
+aabbbaabbbaababbbabbbbbbbababbbbaabbaababaabaabbbbaabbaabbbaaabbaabbbbbaaba
+babaaabbababbbaaababbabbaaabababbbaabbbababbbbaabababaaaabbbbaabaab
+aabbbaabbaaabbabbbabaabbbbbbaabbbaabbaaabbabbaabababaaabab
+abbbbaaaaaabaabaaabbaaaaababbaaababbaababaaababababaabbaabb
+abaabbbbababbaaababaaabbbbbbbaaabbaabbbabbaabababbbba
+abbbbbbbbbabaabbaaababababbabaaaababaabbbaabaaaabbabbbbbbb
+bbbbabbabaabbbaaaabaaabbbabaababaabbaabbabbbabbabbaaabbba
+abaaaaabbbbaaaabbababbaaababbbabbbabbbabababbbababaaabaabbabbba
+babbabaaaabbbaaa
+aabbaaabbba
+bababbbaabaabbaaabbaaabbabbabbbaaaababbaaaaabbabaaabbbbbaaaaaaaabbbbabaabbaaabbabbbbaab
+aaaaabbabbbbbbabaababbaabaaaabbaaaaaaaaabababaaaaabababbbbbbbababbaaaaaaabbbabbaabaaaabaaa
+bbaabbbabbbababbbbaaaababbbbbaaaaaaaaaaabaabbbbaaabbbabbbbababaaa
+aaabbababbbbabaababbabaababbbbbbbbabbbabbabbabaaaaaabababababaabbaabbabbaababbaabbaabbababa
+babbbaababaaabaabaabbbbaabbabbbaabbabaabbbbaaababaaaabbaabaabbbb
+abbabaabbaabbbbababbba
+baaaabbaaabbbbabaabaababbababbbabaaaaabbbaabbabaaabababbbabbbabbbbabbaba
+bababbbabbbabbabbabbaaababbbaabababbabaabbabbbbbbabababaaaaaaaaaababaaaabaaaabaaabaabbabaabbababbbb
+aaababbbbaababbabaabaaaaababaabbbaaaabbbababababaabbabbbbbabbabbbabaabaabbaaaaaba
+baaabbbbbbaabbbbaaabbbabbbbaaba
+bbbbabbaaaabbbbbbbaaaabaababbaaaabbbbabaaabbabba
+babaaabbbaaaaabbbabaabababbbaaabaabaabbbaa
+aabbbbbbabbaaaabbabababaabababaaabaabbabb
+babbbbabbabbbaa
+babaaaaabbbabb
+bbbbbbbaaababbbbaabbbbbbbbabbabbbabbabaabbabaabbba
+bbaabaabbabbababaaabababaabbaaabbbbabbaabbaababb
+aaaababbabababbabbbaabbabbbababbaaabaabbaabaabaababbababbaaaababb
+aaabbbbabbbabbbbababaaabaabaabaabaa
+bbbabbabbaababbbbbabababbaaaabaaabbbbabbaaabbababbbabaabaababaabbbbaaabbaba
+bbaabbabaaa
+aabbaababbaabbbbbbbbabbbbbaababbabbbabbbaabbbbabaababbbab
+abbaababbaaabbbbabbaaaaaabbbabbbbbabaabbaaabababbababbaabbbbaa
+aaaabbbabaabaaababaaaababbababbbabbabaaaaaabbbabbaabbbaaabbbaabbbaaaababbbaaabbaaabbaabaa
+abbaaabbbabaaabbababababbbbbbaaaaaaababbbababbbabbbbabbbbbbabbabbbabababaaabbbbbbb
+baabaaabaaaaaaaaabaaabbaabaabbabbbaaaaaabaaaaaababbbaaaabbaaabaabaabbb
+abaaabbaabbbabaaaaaabaabbaababaababaaababbbab
+ababaaaabbbbbbabaaaabaaaababbbbbaababaabaaaaabbbaabbaabaaaaaaabaabbabbbabbaabbbabbaabbbbaba
+babbbabaabaaabaabbabbbbaaabbbababbabbbbababaaaaaabababaabbbbbbbaabaa
+abbabaabaabaaabbabbaababbbaababbaaabbabbababbbbaaabaabaaabbbbababbaaabbaabbaaabbabbbabbbb
+bbbababaabaabbbaaaaaaaabbbaaabaaaabbbaaaba
+aaabbbbababbaaabababbbbabbaababbaaabbbaaababaabbaaababaabaabbbaaaaaabbabbaabaababababbbaaaababaaababaabbba
+abbaabbabbbaabbbbaaababbbabaababababbaa
+bbbaaabbaababaaaabaabbbbbbabaabababba
+bbbbabbaababbbabbaabbabbbaaaabbbbbabbaabab
+baabbbabbbaaabaababbbabbbbaaabababbaaabaabb
+bbbbbbbbbabbbababbbaabaaabaabbaabbbabaaaabaabbbaaabbaabaabbbabbbbbabaabbaabbaaaabbaaabbaaabaaaabbbaababb
+bbbabaaaab
+abaaaabaabaaabbbbaabbaabb
+aabbabbaabaaabbabaaaabbababbbabaababbbbaaaabbbbababbbaabaaababbababbbbbbabbabbabbabaaaaaabbaabbbbbaabb
+ababbbbbbaabaabbababbbbaaababaaaaabbabbbbaabbbbaabbbbbbaaabaaaaaabbabbbbabababababbbbbbabaaabbababb
+ababbabababaababbbbabaaaaaabbbbbbbabbbbaa
+bbbbbbaaabaabbaabaaaaabaaabaabaaabbbbaaaabbbbbabaaaaab
+babababbbbaabbaaaabbbbababbbbbababbbbbbaaabbababbaaaaabbbbbbabbabaaa
+ababbbbaaaabaaabaabaabaababbababbaababa
+abbaabaaaabbaaabaaabbbbaababbaabbbbbbaaaaaaababaabbababbaabbabbabaabbbabaabbb
+babbbbbabbbaabbaaababbbaabaabaababbababbbbaabababbabbbaabbbbbabbbaaabaababaabbaaaab
+baaabbabababaabaaababbababaabbbbabaa
+abaaabaabbaaaabbabbaaaabbabaabbaababbaabbaabbbbbbbbabbabaaabaaaabaabbbbbababaabbaaaabbbaaabbbba
+167 90
+cacacaaabcbbaccbbabaaacbcccbcccbababcaaacbbacaaaabaccaca
+aabbcaccbbaaccaaaabaccbcabccaabbabcaacabaabcacbabcbbbabbccbcabacacaacacababaabbccbabbcaacabbaacbbaccabbcc
+baaccabccbcaaabbacbaaccbccaaabbbacbbbbcaababcabaccaacacb
+bbbbcaabccbbccacaacbaabccbabccaaccbaacccabcbabacbaccacbcaacaba
+acacabbacaaccbb
+aabbbcaaabbcbbbcaaccbaccbaababbbbcacbcbcbcabaabaacccbbbcaaccaacbbcccbbabbaccbcbcacccbcbbbaacabbbbbbbcacbcba
+abbcbbaaabbabccbbaccbbcaabaaacbcccaccbcababbbcabacabbbcacbabbcbcbaacbabacacbacacbabbc
+acaacaacbaaab
+bbabbbccccaaaabacaccabccbabbcbbcbbabbcabcaaacbccccaababbaccabbba
+aabacacbcbbaaaabbbccbcac
+abacaccbaccacaaacacaccbaaaabaacbb
+cbaccbaaaacccbbaacacacbcaaaaacabbabbcbabaabcaabcbcbbcbbcbcaccaabccababbaacbc
+bbacbcccaabccccababcbcaaccbccbcaabaabaccbbcaabacbaaaabbaaaaacbcccaaccabaacbbcaaccccbbcaaaccabcc
+ccabbcbcaccbcbaacababcccacbbbacbacacaabcbabcacccbcbabbaaabaacbbaa
+caaaababcccacacaacababacaca
+abcaabbaacbbaaaccaacccacbacacaccbaaabcaabbbbbaacbbbaccacaaab
+aacabcbbccbacbcbbacbbcbacaaacaaccbbcccbbccbcabcccbcabbbaabcbbcbbcb
+cbbbbbbcbcbaaaaabbbacbaccbc
+bcbcabcccacabbcbccbbbbbcaccbcaabbcbbb
+aabbbacbcaccaccacacbcccbacbaacacacbbacaabcbaaaabbabbbacaccbbbaabbbacccbabcaccbaaa
+acbacaacabaaacccacacacaacbbcaacacababbcbabcccacccbbbbaaacaabaa
+bbbbabbaabcbbacbaccabbabbbcacbcabbbcabaacbcaabccbabccbcabcbabbbbaccabbbcccabacbaabacba
+acccccabacaaca
+accbccabaaabcacacbcccaaaabaacaaaabaaccbaaccccacbcaccaccbbcaaaabbbcabbbcababcaaaaaaacc
+aaaabcbccbcbcccbcbbcabccbbccaccbccccbbaaaacccabcaccbcbbbbacaccaacacaabbcbaacaab
+bcabaabcccbbaacbbcbbbabccbbcabacccbcbbabaacaaccbbbabacbabaaacccaacbaabcbbcbbccbbcaabbccbb
+aaacbbabbbbababcbbcabbbbabbcbaacbcbcbaaaaababbbaabbabbaabacbbbcacababcbbcbccaababacacbaabcbabcaccbaacb
+babbaaabaabcacccbbcbcacbcbacaabcccbccbbbaabbabacbbaaabbcbaabbbabcbcaabaabaabacbccababacabaaacbbbbbbacbabc
+abbbbbaaaacabcacaccaabbcbcbcbbbbccababcccbaccbcccaccaabbbbaaabbcbbabbacbbbbcaaaaccbcccbabacabbabcabaabbacccbc
+babaccccabbccacabbbbbacbcccbabcbabbccbcacbbabacaacccacaccab
+caaaabccacc
+baacccbcbcbcacbbcbaaaabccaaababbbaabcaca
+cbacbbcacababccbacccacbaaabbacbacaabbacbbbbacc
+bbcbaacbbbcbbaaabcbcbcbccbbbacbaacbcaaccccbcabbaacccbaccaaabcacaabcacaabbcbbaaaaa
+bcbcacbcbcaacccbbbabbccabbaabccbbcaccbccabbacbacabaacacbbacbaabcb
+ccbbabcbbacacababcbabaaccacccaccabaaccbcaaaabcacaaabccbcbbcacabbabccabbccacbca
+cabbacbacabcabacbcbabbaacaacbabcccbcbccbcbabcabccbabcacacbcbcabcccbacabbbaccbabbabcaaacbcba
+bccaacacbccbccbbabcbcbccaa
+ccbbabacabbccaaaabcacccbbcbabbcccccbcbaacacaaaaaccbbba
+cbbaaccbababaccbbcccabccbacbacbbcbccaacbabaacaaacbcaab
+bcacacbbbaacbcacabbbcbaabbbaaabcccabbacabbbbbbcccccccccccabbbaabaabcbaabc
+bbcaacbbccbbccbabbbcaababaacbacaaaccaaaacbbacccccaaaacbacbaabb
+bbbabbcbbcccbaabcaaccacbbaaabbccbaccacbbacacbccababababbcabcaaaccbbbaccccaacbbcbaa
+cbbcaabccbbcccababccacbcbcbabaacabaaaacccbbacc
+aabbbcbcccaccbbbbcbbcaccaaaccbcaaabcbcaa
+cacaaaabbabccbbabbabbacaabbaccababbacbabb
+cbbbbaaababaaccacacccaccbcbcbcbbbaabcbcbbbabacccbccbbbaabcccbabbbbbccccaba
+abcacabcbbabbaacbbaabcaabaccbbbabcaabaccaacccaaacabbaabccbacaab
+cabbabcaabaaabababcacaabacccbaccbaabacb
+babaaabaabbbccabbbaaabcaaaabacababccccabcacccabcbcaccabcbaabaabcaabccbbcccabaabaabaabbcaacccbcbaaaabacaa
+cbbcccabbbaccabbbcbaaccbcabcaacaaccbbcaccbaacccccbabcaa
+cbabacaabbcaaccbcccaccbbcbccccbaacbaacccabcabcabbaaaccbaaccccabccccbbbbbcbccaba
+bacbcbacacacaaababaabccbcaacaaabcaabaccbaaaccacbbbcaabbbabcccccbaccacabbabcabbccaacaabcacb
+bcbaababcaaaacbcacbcaaccbaacabacbcabcacabcbba
+cbbacaacbcbcacccaababcaccbbbabbbacbbcbccccaccbcb
+abcccccaabbcbbabbbccbabacbababaccaababbbabbbbbbacaaabbaaaacabccacbacabcc
+bcccbaccbbbcbbcbaacabbaaabaacaabbbcabbabcbbbcbac
+bcabbbbbbabbaabccbacacbbcabbcbca
+baaaaacaaaacbccbbaabaccbbabaabbca
+babcbcaccccabaaabbbabacccbaabacb
+ababcbcaacaacabaabacbbabaababccbccbcaccbacaacbaccbbaacacaccbacacbacabcbbbbcccbcbbccbcbbc
+abaacaaaaacabccaabccabcbaacbabaccaacbabacbbabcaacaccbabcbabbacbccbacbcbbbbbcbbbbacccccaaccbccabcccac
+acabacbacb
+abbccacbaccabccbabcabbbaccacabcabcaabccbcbcaacabbaabbccaabbaacabcbbaacbb
+ccabbccaacbabccccbcccbac
+cbabcbaccaa
+baacaacccbcacbcacbaaaccacabcbcbbbbbaaccaabcaabcbbac
+ccbccabcccaacaccbabbbbabccbacabcbbcbcccabccbbccbaa
+cacbbaaaacbababbcbccabbcaccacbccacabbcababccacabbacacaabccaaaaaccbaab
+abccbbacbbccbcabccbbaa
+cccacbcbabbbccababbcbaaabbbcbbbaabbabbccaaaacabccbbbacccabbbaacbaaa
+cbccbbacaabcbbbccbccbaabbccbabbacaacaccab
+aacbbbbbacccbacabcbbcaabaccaabcbacaabaacababaacbcacabcbbcbcbcbabcbbacbbbcbcaa
+bacbcbacacbcaaaccabacaaababcaabbcaacbcbcbbabaacabc
+acbaaabbbccabbbbaabaccccccaccaccacbacbbcbacababaabbaccaacbcbcbbbcaccccbcccccca
+babcccaabbcabcbbababbcccbbcc
+cbcbbcaccabbbbccaabacbaccbbbcabbacababacbbcccccbcbcacabcbcbbaccaaabcaccaaabacacbaabacccbcbabacbabb
+cbabacabbacacaaabcb
+abbcbcbbccaacbbacbbaabcccbbccbbabb
+cababcaaababbccbbababbbabababcabbacabbbbbababaacacaacbabbccbcbcabbcaaaacaacaacbbabaccbbbbcabbbaaaac
+bacaaabbbbbcbcccbcccbabacbabacbbccabcabcccaabababbcbbcaaccacbacbabbaaacccbccacaaaacbcacacccaaacbaccbbabbc
+abbbaaccccacbbabcbacccbbcbacbbabb
+ccbacbaaacbaaaaaccbccbabcabbcaaccabcbccbcccabcbbbbbcbaacbacabbbbcbbaaaaabaaabccbabaaaabcaccbcbbabacbbcabacccc
+ccbcaaabbcbaccacabcbabbcbabaaaaba
+cccccccaabbcccabaacbcbbbbaabcacacbcbacaabaabacacaccbbccbcbccacabacbcbcccbbbccaaaaabbaaaabcbacccac
+ccbcccabcbcbacabaacacbaacbccacaacbabcccaabcbbbacccbcbbbaaacbbacbaba
+cbcaaccaaaabcbbabaccbabbaacccaaaabccbbbbaababaacabcacaacbcababbcaacacbcaabbabbbbabcbbbcbacbbabcb
+aacbbccbcbbbaccacbcabbcbbacbbccca
+caccaccbcccbcbcacbcacaabbbabcaacbcbcbcaacccccab
+cbbbabbbacacabcbacaacaaaabababacaccaaccbbccbabcbccaa
+bcbbacacbbbbbaabcaabacccabaacbbbcbabacabacaccacaabbbbaaacaababcabbbabacaccbcacbccbccaa
+bcaaccbbaabcbbcccccccbcbabbbcc
+bbccccbaaacccbabaccabcbbbbbbabacaccbabcacbcabbbbaaabcbcacbbbbaabacac
+acbbaacabbcccacacaabbcbabaabbcbccbccccbcacccbccbbcbbababbccbccacbaaaabacacbcaaabcbbbcaacbacaaab
+cbaacccabccaabaaabcbabbcbbccbacbaccacaaaccacbbaaacaccbaaccbaababaacabcaacabaabaacccbcabaabbcac
+babaabbbbccccbbabaccbbccaabacaccbbcaabbccbac
+bcabbaccbcbbcacccabaabaaccbcabcbcabbbbabbab
+cbcbcaaacbbbaca
+cbaacaaccbcbcbcabbbabaaccaaacbccccbcbcbcabbbababcacccccabccababbbacabcbabcbaab
+cbbacbaabcaacaaabbcbbbcacbacbccbbccbcbacabbbbbacacacbaaabcccacaccacabacabcaababbbabbacacbaccbab
+aabbaaaaabbacbcbbaacaaacccbbcabacccbcccab
+caccbaccbcabccabaacabbbabcabbccbccbcabcbccbabcbbcbbcbbabcccbbcbabcabca
+aacbacbaaaabacccaccbbacccacaabcccbabba
+abcabcbacabaacaaac
+cccbcbabaabccabbabccbabbabcbbcbbcacbaabbbcabccabbaccbbbabcaaacbabcaacbcbcacccbbabbcacb
+ccbacccaacaaaaaabacacbcabcaaaaaaa
+abababbcabaccbccccccabcabbbcbcccccccbbacbbaaabcacbcbbacbbbbcbcababbbcacbc
+bbbabacccaaaacbbbabcbacababccccabccacacaaccabbacbbcabacbbabbccbbcca
+bcabcaabbbbaccbababccaabbaacbaaccabaaacbaaabcbaaabbacab
+abbacacccacacbbccbabbcababbacbbbabccbbaabccaabacbacbcbacbaccacabcacaaaabcbaaabccccaabacaaabaccbbbcbaaa
+baaabccabaaaccbabbcaacaaaabcabaccccbcaccbcbbbabacaccccababaabbcccbcabaac
+cabacbcabbabcbbcbcccabcaccabbcbcbacabcabacacababbbbbcccbbccaaccbbcaaacaaabbbababacaaacbcaccbcb
+bbacacacbaccccbbcbbabaaabccaaacabbabccacbabcbabbbbbbaccbcaacabcabbaac
+bcbcacacbaacaaaaabbaabbbaccbacaabbabcaabaccacba
+abbabcbcbccabcbcabcacbaccabcaacbbbaabacccbbcbbba
+caaacabccbcbabbacacaaabbbbababcccacccbacacacbaaaacbabbbbccbaaccacababacccccbccaabcbbbacccacccabaabbc
+ccacaabcaccacbabcacaacbaacbcbcaacbacbabbcaaccbbcaccacabaaaabaabcbab
+bcccaccccaacbbabcaacbbcacbbbbbaabaabbabbcbcbbabcbcbccbbbcacacbbabbbcbabbb
+cbbacbbbaaccbaaaccaabcabcbacbcbacaaccbbcbcbccccabbacaaacabacaaba
+bcbcbaaaacaabcaccaabcbcaabbcabbaabaabbbabccbc
+bacaccbacbbbbcccbbccaaacabcbcccaababbcbaaacacaaababcabbabbbabcc
+babaaccabbbcbacaabababbccababaccbacbcabbcbccccccabcbccacbacbacbcbcbacaaabcabcacccaacbbbcccabccacaa
+abccaaabacbabbcbbacacbacabaccaaabaaccabbbbcbcbbcaabacccacaabcb
+cbaabcbbccaaacbbbaabbcbcccaabccccbccccccabccccbbaa
+bbaabababaaccabbabb
+bacabbaabbbcaacaacaccabaacca
+bbbabacbacacaacccaccaccbaccbbabbacbcccababacbcabbbbbbbaacacbabcbcaaccbcbccbbbcabaabcbaaabccacaba
+baabbaaacbabaaacbaaacaaabaababccbbcaabbbcaaaccabbabbcacaabaccbcbcccccacccccbacacaaccbbcccabaabbcabbccccaa
+bcbacbbbbaccbacabbbacacaacbcccccaacbbcbcbaaaccaacccbbbbaaaaacccbcbcaccbabbaabcbabbbbaaacbaccacccbaaac
+cccababbbbbccaaca
+baabbcabcaacbcbabbccacabcababcabbaaabbbabbb
+abbaabaaaaaccc
+aaccbbbbaaccccababcabbbbcbcabcbccababbcbcbaccccab
+babbaabbccbba
+accaabcabaaccbaacaccababcbbcbbacabacaccacabaabcaccbacbcbabaa
+acbbaacbcabababaacbcabbaaccabacbbcb
+aaacababcabcbcbcccacbbcabbbaccbacabcccccbaaccbcbbcbcbc
+bbcbbcbcbcaaacaaabbbbcbcabcbbaaabaaccac
+bcbabbaabccccbcabbabcacaacabbbbcaabbbbac
+aabacababcaacbabbabcababaccbaaacab
+acbccbbbacababaabaaaacaabaacaccaababbaccbaacba
+cbcbbaacacbbbbacacccbcbcacbabcbbacbbbcaccaab
+abbcbcabbcccaaaaabaaccbaaaaabccacaabaaabaacbabcaccccaabcc
+cbccbbbccccaacaaacbacabcbcabccbcbcaaccaabcacbbbbbbbaabccababbaabccccabaccbabacbbcbcaaabaacbcaccacacacccc
+bababbacbcccbcaacabaabaaabbcab
+abbcacbcabccaaccabcbaabbbbccccbabccacbcacbabbc
+cabaabcbbcbcbbbcbcccbacaabcbcbaaccbaabacbacbc
+caacbbcccabccac
+acccabcbbbbcbaccbba
+bacabbbccbbabbbcabcabbbabacacaaabaccbcaacbaccacabcbacabcbacaccbbaababbabbbabaccbaababcbbcccabcba
+cccbcbcbacacbabcbbcccccc
+cbbabbaabbbaccaabccbacabaaaacaaccaaabbcccbcccbbcccbccabb
+abbccaabaacacacbccaaaacccabbaabacccbccacccbabbcbabacaabacbacca
+cbbcbaabbbaccbbcbcccabccaccaacccbaaabbbbabccbcabbbaaaacbccbccbbbccc
+bcbcabaabbcaaaaacbbccbbcacacbbaacaaaacccaaabbacbcbcccbaaabbaacabaccaaabcbcbaababaab
+caabacacabbccbbbc
+aabaabcccbbcccacaabcbbaabbabbaacbbbcbbabacaabccbccabcbbcbacacccbcbaccbcbbaacbbbbcccabbbcacaacbac
+bcacaaaccccabbbcbacaaaccacbabbacbbbcaabaaabcbaabccbcaacabbaccaacab
+baaacabaaacabbbccbbabaabacabaabcabbab
+cbcccccbcbaacccccbbaabcabccbccabcbcbccbaabcaabcabcbacabbcccccccabbcabccbbbccabbabcaab
+abcabacccabbaacaccbcabaaacabbbaaaccababccbaccbcbcbcbbbbaaabbcaa
+bbaaacabcbcbaaaaccccabccbccabbaabbbacb
+aacbcbbcbcbbaccccaccaccaababaccacabcbcacabaacccbaacbabbaccbacbcbcbaabbaacabcbbbbabcbabcacababacbbbbbcbbaaaab
+bccbcbbaccbbccabacbaccaabaabccacbcbacaccaaaacccbcbabbaabbaccabbbccaaccabbaabbcbbbabaabccabac
+caaabcbacbbccbcccbbbcbccbbcacaaabaaabccabbababbbcccabbcccacbaabaabccbbaabcbcacaccabbbcbaaccacccbab
+cbacbacbbbaabacbcabaaccabccaaabbcaab
+abbabaaacaacacabaaaccccbb
+36 17
+cbbbacbccbcbcbbcaacacbccacbccbcbbbabb
+bacbaabbbcbbbbbcaabcacaabaaabaaabaacbcbaaacabbaabccacbbccbaaacbacbaaccbcacbcbbaaacccbbcccbaccaacaa
+caaccccbabbcaaaaaacbcbaccabcccaaaacbccca
+ccbcbbbbbcaca
+bcccbcacaaccabcccbccbbabaccbaaaababccbbbbbbaababcaabaaaa
+aabcaaacbbabbacbaacccacaacaccabacbccbbbcbcaabbbabacbbbcbabbbcacaaabbcbbcccacb
+bcbaccaaccababbbacabbaaabbaaaccbaabbbacbcacbbbacaabbabccbaabbacbaaabccbcaabcaaacabbcabbabccabcb
+ccbacacbaccbcaabcabaccccaaabbcabaaabaababcacbcbabbcbccaaaacbccbaaabaab
+aaababacabbaccbbaaaaac
+bccbbbbbbcabcacbb
+abbbbcabbacbacaacaaaccccabbacacabccaacaabcacabbbbcabacbaca
+bcaacabaabacbaaaababbacccaccaabbcbccbacacbbcabcacccabaaaccacbcbabcabaccabcaaaababcabcbacbcca
+bacacbacaaaaccbacaacbbbacbaaabbccaccababaacbaabbacbccabcacab
+bbbaacbcabcbccacaaabbabbbaaaccbccabacabcbbaccbbbbbccacaabacabcaaacbbbccaaaccbacc
+accaabbccbbbabacbcacaababbccbbccbcbbabccbcacaaaacbbabbaaacccaabbbabcaaccbcbcbacbacbbaac
+bacccacaabbcbbcbbbbcabcaccbcacbcaaacaacacbcbbaacbbcbcb
+bacaabcaaacbabcabacbbbcbbbaaabbbabbbabbcbbbccbacb
+bbcaccbcbccbabcacabbbccbacaacabcb
+babaacbcbbabbbaacaaacacacccccabaa
+acbaabaababbaacbcbbbaababbbabbab
+cbcbbaababcaaacbabbabcabccaaabcacaaaaabaaabacacbccabaccaccbacbbbbccabbabacabcacbabaaabcc
+bcbacbbaabac
+aaaccacacccbabbaabbaabcbabacbbcaaabcaabacabaaabbaabcbaabbcacbaacabcbbabcbbcabbabbbaaccaababaccbcabbaaabbbcb
+bbbabbccccbaabccbabb
+accabacacacbaaabbaccbccbaacbcbcbbaccaaaaabacbcbcbbbbbabacbacb
+babcaacacbbccababbaaabaccaabacabacbbcbbbbcccc
+babbbacaacbcbabacbbccccaaaaacbbaccaabaccacbcaaccabcbbbaabaaacbbcacaaabb
+aabbaaababcbccbbbabccbbaccbaabcccccaabaaabbaacaacabcccbcbbccbaa
+acabcccbbacbccccbcabaabaacbaabcabbbccacacbcabaccaacacabccbbaaabbcbaaaaccccbccaaabcaaaabcbcaaccbccccabb
+bbbabaccaabbaaacbcacabaabcaabacbcaacbcbaaaabcbcabbcbcabcbbbcbcaabaaaccbbcacabacaccbccbaabbbaaccbccbccac
+cabcbababbbabbcacbbbcbbcbbcabccaacaaaacacabcaabaabcccccaccbbaaaacacbbacbccaccbcbccbabbaabbacacac
+baccaacacaacabbaabccabaaaaacbcbaaccccabbcacabaaaaaaaacbcccbcabbbccccbbcacacababcacaabca
+ccaabbcacabbaaacbbcaaabccbccbcccbcbbba
+cbaccbcbacbaaaaaabbabbbcbacaabbccbaabacaabbaabcacccccbbbbbbccccacacabcaaccaaaccbabca
+acaabbbbccbccaaccbababaaabccbcaabbbacacbaabbbacacaacccacbbccaaacaaacaaabcabbaacca
+cbacbaccaacaabaaacbbcccacbbabcbaacaccbabbbccaaabbbabaacbccbcaabcc
+212 23
+cabbabaaabcbcabbcab
+acaccbcbbbbcbbcaaccbbaaaccabbabcbbababacbbcccabbaacccaabcccaaabababccbcbabaacbcbcbaabaababcabccc
+acbccbbbabcbaacabacabbbcaccabaabababcabbbcbbaabbcacabacbaabccccbababbbcbaacaacbcbbbbaacbccbbbcbbcb
+aababbcccccacbaabbaacbccaaacbcbbbbaabbccaabbbcacccc
+bcaaccbbcbacbcacaccaacabcccbbbccaaccccbcbcaabbaaaccccbbcccaacacbbbaccbcca
+bccbccbacbbbaabacbaabaacbbbcacababcacbaac
+bbbccbaaaabaacaccbbaabaabacccbbbbcacabbcaacbacbacbcaacbbbabbacabccbaabbccaacccaabcaaa
+caabcabbacbcbccbaabccbacbccccacbabccccaacacaaaabcbcaaccc
+bbaabccaabbacabcacbcaaabbccbccacba
+caabbabaacaabcacbccbcacccacabccabbcaabcabcacc
+aaaaacbbaabcacab
+bcbcabbaaacaaacab
+cbccbbaaaababbaaaaacababaabc
+bccaccaccbaabbbaacc
+ccabbcaaaabcbababaabcbcbbccbbacbababacbaabaccccbabcccabcacbcaaccaacbcbbcabbbcabacabacabacabbac
+aabbbababbcccabbccabbbcaaacbcbcbcbabcbcbbbbbababbccbcacabbababcbbcaabcacacbccbaba
+acacccbaacbabcaabcbbcaaabcbbcbbaacacbbacbcbacabbbbbbaaacacbbbccccccaabcccbbbabcbacbcacb
+bbcbabbbbbcabbbbbaaabacccbaacbbcbcbbbcacc
+cacbacabaacbbbbbcbbbbbbbcbcacaabbbbbbbccabcabcbaaabbccacabacbcacbcccbbbbbbabaabbcaabbcccbbcaccbabbccaacaa
+aaabacccabacccbcabcaabacbbcbbaabbbaaacbcaabaacacbccbcabccbaaaabbbbbcca
+cacbbaabbbabbababcccbacccacbbabbaaacbcbbbcbbabaabaaacaacabbb
+accacabbababbacbccaaccbcbacccbacbcabcacabbaacababacccbccbbbaabacaaaccacbcababcbacaaabcabccaaacaaa
+aabbaaaacaababacbbaaaaccacccbbaabbaacaaaaabbccbaacbcbbbbcaacbabbabbcccabaaabccabacbabbccabcbcbcaa
+baaaaccacbcbccccbababcccbaacaccacababcbcccbcbcabababbaaa
+ccbaccabbcccccccccabccacaccacaccabaccabba
+cbbcccacacaacaaccbbb
+cbbbcbacacabacabccbcaccacccbcbbcbbcbbccaabccabbbcccccbbccabcbaabaacaaacbcccabcaaabbcbbcbbbccccab
+cbbacbacbbccbccaaacbcaaacbacccbbbcbcacabbbcbb
+bbcccabccbccbcbcaabaabbcbccccbbbbaacbaabcacabbccbcaacaccbbabacbacbabbacacbbccbabaaabccbac
+cabbbcbcbcbbcbcababcacbbbaabacbbcccccbcbaccbabbbaacac
+cabcacabacbaccaacaaabcccabcaabbcbabbbbbaaaaacccbcbbbcccbaaabcacbacc
+ccbccbbabbcbcabccabcbbcabaacbbaabcabacabbcccacbabaabaabbacaaaacabbabbaa
+acabbbcababbbcccaaacacbacbaabcbcbaaacccabcccbbaaabc
+bcaacaacbbbbaccaabbcbbabaccbbccbccaabcbabbabcbacacbbbbcabaccbbaaaccaabaabcacbacaccaaccbbababbcab
+bcacbcaacccbaabcaabacccbccbccbbababccaaabaabcccacbcaaccb
+bccabababcccccbcabababababbaacacaccbcbbbacbcccbaaca
+acabbaaaccbccbccbbbccbacccabacccacbbaacbcbacbcbabcbc
+baaaabaccbbbacbbbacbbaaccbabcabcbbbacabbcacccbbacacbaccacbcabbbaaaabcbc
+caaababaacbabcbacbcbcbcbacbcbbccaacacb
+bbacccbaccbbacabcacbacabacaabaaabbcbbbcaabbbbababccb
+bbaacabcbbababbabcbccbbbbabbbcaacbb
+cbabbcacabaabcabaacabcbcccbabbabbcabbccaabbabbccacacbaaaccacbaaabccbbcabccbcbbcccacbbbbb
+bacbcaaaccbbc
+accbaaaabcbbcbbccaaaabcaaababbabacaccbccbbbacbcacababbaaabcbccbbbaccaccabacabbcca
+cccabbbacbbbaaabbaaabbaacbbabaacbcbcacbbccabbbacbbacbbcababcbbbaccbaabbcaa
+cbbaccbcbcabccbaccbacbcaccbbccbbcbcbabbabacbbaccbaacccacccbacabbbbabccaacaacaccabcabbcbcccbbc
+bacbcbcaaa
+cacacabbbcbccbcacbcaabcabbcaababcabcbaacbccbcaacbbbaabccc
+acaaaabaabcbbccabcbcbcbbbaaccbcacaabbccacbabbbccacbcaacabcbbccababaccbbaacaacbacbcacaaaacaacacbcbabc
+abccaacabbcacacacbabaaacbccacccbacbacbaacabccacabaabbaacaaabccabccccbcacbbacccaaab
+bbabbcbbabbabbacacaacbacbabbc
+abbaacbabbbcabbcbcaabacaabcaaacaaacbbcaacabacbbacaaaacbbcbbacacccccbbbccbaaaacacabcbcc
+aaabbbacacabbacbbcbbcbcbbabcbcacaabbbbacbccbbcbacaabacabacacacbccaabbbccaaabba
+baababaaccabaaaacbcccbbacacaabccabbcbcacababcabaabc
+abaabbaccbcaaacaacbbcbbcccccacbcabacaacaacbacbbcbb
+cabacbbcacacaacbcbcaccabaaababcaaaaacbaccbabcaccbbacaccaaabacbbacaccaaa
+babcaaaabbacbccccacbacbcbaaaabbcbacaccaccabbcbcbcaabcb
+cbcabbabbabbccbbbbaaacccbbbaaaacacacbcccbbabcaacbcbccacbbbabaaabbcaaccaacacbbabcabccaccbabbccbbcbabcaacbcaaa
+acaacbcaabbbbabccbbacbcacaabbaaacccabbaaccbbcbbcaaa
+cbccacabbaacbccacbabacabababccaabbbacbacaaabbbb
+bababbbbccccbbcbbcbcabcb
+cccbabcaacbacbcabaaccacaacaacaabcbcabbbbccccbcacbabbacaababcbbcaccaaccbccabccbabcb
+ccaacaaacbbbcbbbacbbccacbbccabbacbbcbbcacabccbacbcabbbabcacbbabccaaab
+aacbaaaabbcbabbaccaaacaabccbaacbbabaaaabcccacbcccbbbabbcabacbabaccaabccbacccccccbaababbbcbcacacbaabaabbcacbca
+cbabcbcbabccaabbccacacbabbbababbbbbaaccccbbcbaacbaabcaabacabcbaaabaccbcbababcbacaabbcaaacccbbaaaaabacccbabbbb
+acbbbcccbcccabbaaccbaaaaccacbcbbbccbcacacbaaa
+bcaababbbacbbbcbcaaccaabcbccbbccbabbaacabbbabbc
+cccababaabbcacaacacaaabcbbaaacccbccbaaccabbcacbccacabbbbb
+abaabacbccaacc
+bbbbcbcacbbcbaabbcbaabacaacaaaacbcc
+bccbbacaccacaccccabaaaacacbaabbcabcabbccabccaabcababcacbbccbccbabcbcbbcacbaaaaccbabcbcc
+bbcbcccbbcccbbbcbabbaabbbbaaaabcccabcbbbbabcaccacaabccaacbcaabaccbbbbabacbbacbbcabbacbabcbcacacbccacacabcabab
+baaabbcaaacaabcacbcbbbcbbbbbbaacbcaaacacabacbbccaccbbcbbbaaabaababbabccbaaaacabcacbabbbc
+babbbaacbbaccccababbaaacccabaacbccacabccbbbccabccaccabcbacabacbcaccaacaabbabcbcaaabbca
+babcbbccabcacaaacbbcbabcabacbacaccabcaaabcabcbbcacaaca
+bbcbbaacab
+bcbcacbbbabaaacccccbcbbcaababcaaacbabcabacbaabbbcbcccbcaabbccabbcacbccccabaa
+bccabcaccbaacaababbbbabaabcbbcabccbbcbccacacaabbbbcbaaacacaabbbabbcbc
+aacabcbbcaccbcacabbbb
+bacbacccccabccaccbabcaacbaccccabcabbccbcccbaac
+cbacaacbabcbaacabbccacbcaacaacbcbbcbabbabcbaabacbbbb
+cbbcccabbbababccabbcabbcbc
+bcbbbabbbaacaccccbbcaaabbaccabbbaaccbbbbcabacbbaccabb
+abacaccbcbbaabcccbccccaababbcacaaccbaaabaaccbcccacabcabcb
+abccbcacbbabcbbbcbbcbccabcbcaabbaccccbababbbabcaacaaacaccaabbbbaacbacabaacbbabcaaaabbccbcaabbbcaacabcc
+abccabcbbbccbcc
+bbaacbbccabccbcbcbccccbcababccccbcbbabcaababacccbabacbabbcbcabcbbcb
+bcbbcabcbabacbbbbccbaaacbabbcccacababccaaccacbccaacccbcbabbbab
+abbbcbabacaacbbaaabcbccaacccabcaccaabcbacababbaccccbcababbbc
+acbabaaaaaacaaabacacbcabacbcbbbbcacbcabcabcccabcbaabcbabcbaccccbbbbbcbbacccbabccbcaaaabcbccaaabcb
+aabbaccbbabcbcacabacaaaacacccbccbcbbaaaacbaccbaaaabbcbaab
+bbaccccbcbcbcaacbccaaacabcbcbcccaabcabcbcbaccbaabcbaabcbaaaabccbabaaccabbbcbabbccabaacabbbbbbccbabbcba
+acbbcabcabbccbcacccbaaaabbbaabbb
+abaacbbbbaaacbbbcbaccbbbbaabacbaabcbcbacabacbacbabbababaacacbbb
+ccbbcaaaaacacbcacaacaabccccaba
+cbcabbbcabbbbaccbacbbabacaacbcaaccabccbaabcbcccbabbbaacccb
+aacbcaabcaabcbababcbcbccbbcbccbbcabacba
+caacabcaacaaccaacaaccaabccbaabcbcbbacbbbacacbcccccaabbacabaabaaacbabcbabcabacbaabbaba
+caacabbccaabbbbababccaaccbccbacbbbbaccaabbacbacababcaabacacaaacabbccabccbbcaabacbcacccabbb
+bcaabbbabbbbbcbaabbacaacccbbbcbcabacbbcaacbbbaabcccbbccbccabcbcbbbbbcccabbbca
+cccabaccaabbcbaacbacabaaacabbbbcbcaccbbcbaccccbaacbbccaaccbbaccacacbaabbba
+cbcbcbcaccaacabacbccbaccbbbbaabaacabcabbabacaa
+cbcbccbbbbaccabaccababaccbbbbcbacbcbabacababaababaccabcbbbbbcbbca
+cbabcbaaabaabbaaccacaacabccabcacbcbbcbbbacbac
+cbbcabbbbbcacabcacbacaacbcbacbcbaabbbc
+bacaacabbcbcaaaaccaabbacc
+baaabacabbacacbcaabcbaabccabcaccbcabcba
+cccccaacccaaabbbacccbbaabcaabaaccbcbbbbaaacabbaccccbbbbaabaaaccaccbababbcaaccbcaba
+bbbcaccaccbbbccabcaacca
+caaacbabbbccabbccccbbacacaabcbbaccccaabbbabbcababcbcbccca
+abbbbaabcabcabcaaaccbbabcbaaacbccbaabaccaaabcbcaba
+babcbbbbccbbaccbacbbbbcccabaacaabbaacbbbccaaccaabbabaababbbcababcbbcaba
+bbababacacbcbabbcababccccbabcacaccaccccbbcbcbbcbbcaabcbca
+bccbcabbccccbcacabbbbcbcabbabaaabcccac
+acbbaabcbccacccbbbcbcbacbbccaaabaabaabbbbcbbcbabaacaac
+aacacbabcacaabbbbbba
+bbbabbabbabbababcbccbbbbbcbcacbbaaacbaabbbbaacbcabacaaccacababaccbaccbacacbaababcaccbbbacabccbccaac
+bbaacaaaacbbbcccbaaccabcacbbbababbbaabcbbbaabcacbaacccabbccaccbbcbbccbbbcaabbaccbbbbccaaaabc
+cccaabcabbcaacbcaabbacbbbabaacaacbcccaccbbbcaaccbbbcbaaacaacbbacabbababcbabcbaabcabbcccaaacbcbabcabacacacacc
+acccbbbbcacaacaacbbcabaaccacacbcbcaccacaabbabbbabcaaccccabbabbcbabaacbacabcbcbcacabccaac
+acbaabcbbacabacbccbcacaaabacbbbcbaacbccabcbbaabbcaaccababbcaacccaacaccccb
+baaabcacbabcaababa
+bbcbcaacabbacbaaccabbabcaabbbaabcbbaabbabbbbabacabbbcbcbbcaabaaabcacccacbaabcbac
+bbcbabcaabbbbbbaacabcbacc
+bacbccabaabbabbbacbacccccabbbcabccacababacccbacbbababbabaaaab
+cbaabbacbbccccaccaabcabbcb
+caccacacbbbabbccbbcbabacbacabbaacbbcbaaaccccbccccbaabaccbcaacabbcabbac
+acababbacbbbaabaaacbcabbbabcccaabcacabaacbcbabcbabbccba
+ccbcbbacbcbabcaaacabacbbbaacaaccccbbbcbcbabbaabcbbbbaabbcbccbcbaccaabaaccbbcbabcb
+cccaabccacabbcbcaaaacabcabcbbbcbbbcbbabbaccbaabcacaaaaacabbaa
+ccbcaccabbaaacbcbcbcbbacaacbbaabacabbabccbcabcaacacbbacabcccababbcbabb
+abcaacccbacbbcbabaacccbbacacbbbacbbcbababaacaacaaccababcaabbcaccccabac
+abbabcbccabbcccbbacbabbcbbcabcbccabcacabccaaabacabbacbcbbaaacbacbabbacbbbccabbbbbbbcbaccabacc
+bcbbcccaababaaaacacbcacbbbcbbbacbaabacbbc
+aacabbbaacbccbacccaabcaccacccbaccabbbbbcccaccbcbacbcccacacbbabbbbbcbbaaaaaacbccaaaaabaccacbcaabacccaacbb
+abacccaccabacacac
+babccacbabccbabbaabaabbcbababbbaaccbbbccbacabbabcaaacbc
+bcabacaabbbb
+bcbaaaacbcbabcbcbbbcccaaaacbbcabcccababbacacbbbbcaaacbacccaacabcbbcaaaaacbbaaacabbbbaccbabbacbbbbcabbbabacab
+cccacabbcccbbbbcbaaaabaacbacbaccbcccbbbbbabaabaabacbcaccaccbbcabcaccabccacabcabb
+abccacbccacbcacbacabcacbbaababacbccacbaababcaabcabacbaacaccbcbbabbaacbbaabcacabcacbbcbccbccaabbcbcbcbacbbbbcc
+cbabcabcccbbaacabcc
+bbbbcbbbabbaaaacbcbbabcbacbbaaabcbaabababcabbcccabcaacbaaaaacbaacbbbcbabc
+cbcbccbccacbbbb
+aaabaaaaabcababcabaabbabbcccacbcbabacbabcab
+aacbbbcbaccbcaccbaaaaacbaabbabbbccbaaaabbacbcccabbababab
+acabbacbbbabbcacbabccbcacbabaccaabaabcabaabbaabccbbabbcaccbca
+cabacacaabbaccbabcccaaaacbcbbaaccbbbcbabcacbbbcbbacbbabacccbabbabcacbcacbaacbbcbacbbcabbcbbbcbaaacbbcbabaccca
+babbbaaabbcbbccbabccbabaccccccb
+aacbbbabbcaabbcaaaacccabbaccca
+acaabacbcabaccbccababacababbcacbbacacbacba
+baabacaacaaacaabccbcbcbabacaccbbcab
+abbcbaabcbcabbaacbabcacbbabaabccbabcbbcbabcbbaacbb
+aabcaaabcbccacccbabbbbaabaaaccbacb
+bcabbcccbaaabbcccaaacbaccbaabab
+cbbccabccccabbbccbbcccccacbcbbbbcccbcaabcacccccbbabacbabbcccc
+bbaccabbbbaabccbcacbcbbaacaccbbacabaabcabbcbcabbbaccaaabaabbacccbcaacbaabcbcbccbcabaabaabacbbcccbabbbccbabba
+babaacbcabcab
+caacabbcacbcabcabacababaccbbabcabaacbbcbbbbbbbbccaaacbbcacabaaccbaacbbbabccbaaccbccbabaccbccabccbbaab
+cabcacbacbbabaaaccccbacaccbbcbbcbcbcbabcbaacbcbbabcacacbbcbbacbbacbcccbccccbb
+accbcbbcccbcbaccaaacaccabcacbbccabbacaaaaaacccaabaaccabbaccbaacbaabbcccaccbacbbbcaaacbb
+cabcbaacababbabcbccbbaca
+aaaaacbaccabcbabcbcabccbccbcbcabbccaabbbbcbcbbaacaaabaaabccbbacac
+aacbaaaabaabcacccccaacaabaccbbcaaacabbaaacabcbaccaabccbcabbcbacbbcbbbacbcabbbc
+cccabaaacacaccbcaaccc
+accabaabbaccccbcccacbbcabaacaabaccabbcbcccabaaabcacbbbaccaaaccbbaaaaaabcbbacbc
+bcbccccaba
+ccacccccbacbbabaaabcabaabacbacababcbacbbcabcbacccb
+cbaccabbaacbccb
+caccacacccaabbbcabccaabcacababccbcbcacacbabbbaaccbcbbbcabccccbabaabacbbccacbcaabac
+abcbcaacccbcbbbabacabcbbbbbcabababbcaacababcbbabacacacbccbabbacbbcbcbcbbaacccacaacbbbcba
+caacababbacbbbcbcabaabcaccbbcacbbcabcaabcbcacbcccaccbbaabccaccbbabbbcaacbbbbacacacbaaaacaaabcababbaacacaaab
+accccccaaaabaccabaccccccbbbcbbccccacaaaccbccbbabacaacabccccabababcacabccacccabacbcccabcabacab
+ccaaacabccacaacbaabbaabcbbcccbaacbbabbccaacabbccc
+acaaaacbabcbaabbcacaaaabbccaccabccbaaabbcababbccbbcabacbccacacbbbcabbbbbaccabacbccbaababbcbabbabbcbbcbacacb
+cbabacabbabaaaacbbcabaacaabbabccbabacacacaabbbbccabababacbccbbcbbccbbcbbcbccbccc
+cbaacccbcaaaacababbcacbcabcbabaaabbcacaab
+bbbbbcbabccababcccbcbcccaaabcaabccaaccaa
+abaabaaacaaaacabaabbaaabcab
+bccbcbccacabbccaccac
+bacabbbcbaaabacabbacbccbbacbcaaacabcaccbabababababbccbccbcbbccbabb
+cbcccbbbbcbabaccccbcbbcabbccacbcccccbcbbbbcbbbbacbcbabaaaabbbaa
+babcacccaabacacbcabbcbcbcaaaacbaaccbbcaacacaaccbabccaabacabaacbbcacacbbacbabbccbabbcbaacbabcbbabcccbbbc
+cbabccbcabbacccaabcccbaacbaaabababbabcaabacbbbcbccacbcaaababbabababbbcabbaccca
+bbbaccbbcbabccbaabbcbbcbcbacaccbca
+bccbabcabcccacccabaabcbbaccbbcaccaaabaabcbbaacacbcaaacbcbaaabcbbabcbcbbacababbcacc
+cbbabbbbcacaccbacabababaaaabaaaabcabaaabbabcaabbbcbcaabbccaabbaaaccbabaccbcbccabbbbbbbbbbcbacbaaaac
+abbbcacaaabc
+bbbbcabacbaacabccbcabcaacacbbaacbacbaacbbcbbabbbccbcbbbccabbaacccacacaabacabcccbaacbaacacb
+cbacabcacbbccaaabacbccbbaacaccb
+abcbbacabbca
+abcbabaaccaacacabcbabbb
+aabcbcbcbaaaabaabccbcbbabccccbcbc
+aabaacabcacabbacaaccbbcbacccbabbaccccaaaccacbabcbcbbcbcabbcbaaaccbabbaaaaacaacacabcbababccabcaaacbbbbcbabcacb
+cacbaaabccacccccaabcbabcaacbcbabababcbbabbcabbcabccbbbbcbcbbcbaccccccccacbcbbbcacacccbbccababcba
+cbcbacacabcccbcacaccbcbccbbacbababaccaacbcabbacccbccbcbcacbbcbcbccbcbbcabbabacabcaaccbbbaccabaacacbacccaac
+abbcccaaaaacbbcbcbbaaaccbbacbcccacbaabbbbaccbb
+abcabbbbccaccaacbcacaccbabbbbcacaacbbbcaaccbcaccbcabbcabccaaccab
+aaacccbaaacacbcacbcababacccbbcabacbbbb
+cbaacaccbbccaa
+abccabcbabbcaacbcbcbbbbbabbccbbabbbcabbcababacaabcbcbaacaaacbaccbaabbabacaabbabaaabcbccbbccaccccababbaabaacba
+abbabcbcbbbaacbbbbbcbababbcacabaccacabbbcbcccccbbcaabccbbcccccbbcaacbcaabcbbccacbacaababaacacbccccbaabcc
+bbaabaaccbbbaabbbbbaccab
+abccbbcabbabacccaaabcacacacbccaaaaacacbccbbccabbabbababbbbccccbacbaccccbacaaaaaa
+aaaacaaacaacabababbaacabcabacbbbbcbaaaccbbccacb
+bbccaabcabbbbabcbcabbbbbacbacbbaaaaabcbbbbbacbabababbabbabbacaaacaabbaabbbaaacbccaaccabbbabacaacbcc
+babbccaccaccaabcabcbcaaaacbbcbcbcbaaabbaacccbbcbaccaacabb
+bbbabaacbcbcbcaabcbcbbbccbbabbcbcbcccbacbbccacaccbbbccacbccacacbabcaabacac
+abcccaaacacababbccabcaacc
+cacccacacaccbcbacbbaccacaccaccbccccabaacbaaabccbcccaacbaacababccabbccc
+cabaacbbaabccbcaaabcaaacccacaccaaccbbccbaabccbbb
+bacabcabcacbcaabccccbcbaacabcbcccbcbbbbbaaaccbacbbcacabbcaabcbbccbaaacccaccbabaacbcbcbcccbcbabcbbbcbbbbab
+201 121
+bbbaabbbaababbbbbba
+bbabbbabababbabaabbabababbbababbaaa
+aabbabbaab
+ababbaabbabbbbbbbbbaaaabbbbaabbaaabbbabbaabaabaabaaaabaabbbbba
+ababbabbbbababaabaababbbabbbaaabbaabbaabbabbabbbaaabbbaaabbabba
+bbababbabbaaaabbbabaabbbbbbaabaaabbabbabaaaaaaba
+aabaabaabbaababbabbbabbaabbbaababbaababbbbabbaabbaabaaaabbbaabaaabbaaaaaabbabaaaabb
+bbabaaabaabbbbabbbbbaaabbababaaaabbbabbab
+aaabaabaaabbbbbbabbabaaaababaaabbbbbaabbbbabaaaabaabbabbabbbabbbbbabbaabbabaababaaaaababbaababbaaababbba
+baabbbbbabbabbaaaabbbbbbaaaabbabababbaabababbbabbbaabaaabaaabbbbaabbaaaaaaabbbbabbaabbaaaaaaaaaaababaa
+babbabbbaaabaaaababaabbbaabbabaaabaabbabbaaaabaaaabbaaaabbbaaabaaaaaaaabbbaaabbbbaabaabababababbaabaaab
+bababaaaabababbbaababbaabaabbba
+aaabbabbabaaababbbaaabbbabababbababaababbbba
+ababbbababaaabbbabbbabbaaabbaabbabbabbaaabab
+baabbbaababaabaaabbaaabaabaaabbbbabaababbabbbabbaababaaaababbbbbaaaabbabbaaababaabbabbaa
+aaaabababaaaaaabbbbbaaaabbbabbabaabbbababbaabbbaaabbabbbbaaabbbbaabbbbaabb
+abbbbbaaaababbbbaababbb
+bbabbbaabababaababababbbbbbababbbb
+ababbbbbaaaaaabaaaaababbbbbbbbabbababbbbbababbbbbaababbaaabaababbb
+aaaabbaabaabbaaaaaaaaabbababaaaababb
+bbbabbbaabaaaabbabaaabbaaaaaa
+abbbaaabbbbaaaababbaabaaabaabbabbabbabaababbaabaaababbabbbbbaababbbbaabbabbaaabbbbbbaaaaaaabbaabbbbabbb
+bbbbababbaababaabbbbaaaaabaabbbbabab
+aabbabaaaabbbbabbaaa
+bbbbabbabbaabbbbbaababaaabbababaabaaabbbbbaaaaabaabbbbbbbbbaaaaaab
+baaaabbbbaaabaaabbabbabbbbbbbbabbbba
+aaaaabbbabbaabbabbbbabababaaaabaabbbaabababb
+baabbbbbababaababaaabaaabbabaabaaabaabbbaababaa
+abbbbbbababaaaabbbabbbaaaaabaabbaaabbbbaaa
+abbabbbbabbbaaabbbbbbbbabaaabbaaaaaabbaaabbaaba
+babaabbbabbaaabbababbbbaababbbbbbbababaaaabaaaaabbbbabbabbbabbaaaaaabbbaaabaaa
+abbaababbabaaabbaabbabaaaa
+bbbbbaaababaaaaaaaabbbbabbabbabaaabaaabbbababaababbbabaabbaaaaabbabaabbaaababbabb
+aaaabaabaababbaabbbbabbabbaabababa
+aaaababaaaaababaaaaaabaaa
+abbbaabbabaaaabbaaabaaaabaaabbbbabbbabbaaaab
+bbabaabbabbbbbbaabbabaaababaaaabbabbaabaaabbbbaaaabaaabbbaabbbbabbabbabbbbaaaabbaabbbbbaaaaa
+abbaabbaaabababbaaabbba
+baaaabaababbbbaaabbbbaaaabbabbbbabaaaaabaabbabbaaaabbaabaabbaabbaaaaaaabbaaabbbbbbabbabbbaaaaaabbbaaabbaabab
+babbabababbbababaaaabb
+bbbabbaabbbabaabbbbbbbbbabbbbaababbbaabbaaaabbabbbaabbb
+abbaabbbabbbaaaaababaababaabaabbabbaaababaaaaaabbaabbbbbabbaaaaaabbaa
+bbbabbababababababbbbababbabbbbabbbbbabbaaaaaaabbabaabbbbbaabababaaabbabbabbbababbbaabaaaabbaaabbaaaa
+bbbaabbbbababababbabbaaaabbaa
+bbbabaaabbaaaaabaababbaabaaababbbbbaaaabbbaabaaa
+abbbbbaabbbbababababaaaabaabaabaaababbbaabbaaabbba
+ababbbabaaabbbabbababbbbaabbaa
+bbbababaabbabaabaaabbaabababaaaabaaabaababaabaabbaabbababbabababbaabbbbbaaab
+aabaaabbabbbaabbaababababaaaaaaababbabbbababababbababaabbbaabbbabaaaaabaaab
+bbbaababaaabbbbaabbaaaabbaabbbababaaaabbabbaaaaaabbaabbbbabbabbaaaabbbabbbbbbaaab
+bbaabbbaababaababbbbabaaabbababbaabbbabaaababaaaaaabbabbaabaaababbbbabbaaabbaabbaaabb
+aabababbabbaabbbbbbaabbaaabbaaaaaaabbbaababababababbbabaaaa
+baaaaabababaaaababa
+abaabaabbabbabaaaab
+abaabababbbbabbaaaaaaabaaaabaaaaabbabbbbbbaaaabbaaabaabbabaababbbabababaaaaaabbaababaaaabbbabbbbaabababbbbaab
+abaaaabbbbabbbaaaabaababaababaabaababaabbabbabbbaaaabbbbaabbabbbabbbaabaaabbabab
+bbabababbaaabbababababbaaaabbaabaaabaababbabbaaababaaaabaaabbabbabaabaabaababaabbababbaabaabbaaaabbbabb
+babbabababbabaaabbbbbabaaaabaabaabbbabbbbaaabaaaaabbaabba
+bbbaaabababaabbbbaabbbabbbabbbaabbaaababbbabbbbabbabbaaabababbaaaabba
+babbbaabbabbababaabaabaaababababbbbbbabaaabaabbbbaababaaababbbbaaabbaaaaaaabbab
+baaababbaaababababaabbabbbabbabaabaabaaaaabaabbbabbbbababbbaaabababbabbbabaababaabbbb
+aabbaaababaaabababbaaaaababbaaaababbaaaaabaaabbbabbbaabbbaababaaaaaab
+abaaabababbbbbbabbbabbbbbaaaaaaaabbaabbbab
+baaabbbbbaba
+bbabbbaabbbaabaabbaabbaaabaabbbaaaabbbaaaaabbbaaabaaaaababbb
+abbaaaaaabbababbababbbbbaababbaabaaaaabababbabaaaabaababbabbbbaaaabaabbbbbaabaaaabababaaaabaaaababaaaa
+aaaaaaababbabbabaaaabaaaaaa
+aaaaababbbbabaaaabbb
+bbbbaaaaababbaaaabbabaaaabbbabaaaabbbaabaaabbaaaabbab
+aabbbaabbabbabbaabaaaabbababbaaabaabbbabbaabbabbabaaabaabbaaaaaaabaabababbbbbaabbbaabbabbbaaaabb
+baaabaaabaaababababaaaabbbabbbbaaaabaababaababbbaaabbabaaaaabbaabbbbabaa
+bbbabbbbbaaabbbbbabb
+aaaaababbaaababbaaabbbabbabaabbbaaabbaabbaababbbabaabbabaa
+aabaaaaabbaaaaabbaabababbbbbaaaabaaaaabbbbbbaaaaaabaabbabbbabbbbbbabbababaaaaabbbbabbabba
+baababbabbbaabbbaabbbaababbaabababbbabababaabababaaaabababb
+bababbbaabbaababbbabbabaabaababaaaababbbba
+abbbbbabbbbabbaabaaaaaaabbbaaaa
+abaaabbaabaaaabaabbbbabababbabab
+bbbabbaaabbababbbbabbaababbbaaaabbaaaaababbabbaaabbabbaaaaaabaabaabbbbaaabbba
+aabbbaabababbab
+abbaaaababaaaaaaabbaaaabbbabaaaaaaaaaaababbbbaabbaabbbbababababbbbbbbabbbabb
+baabbabbbabbaaabaaababbbaabaabbbabbbaabababa
+abbbaaabbababbbababbbbbbaaaab
+bbbbaaabbbaabababbaabbbbaabababbaabbbaabaabbbbabb
+baabaaababaab
+baaababbaaabbbababbabbaababbabbbbbaabbabbabbaababaaabaabbbababaaaaaaabaaaaaaabaabbbbaaabbaabaaaabaaaabbaaaaba
+aabababbabbbbbbabbb
+ababbabbbabbabaabbbaaabaabbbababbabbbaabbbbbbbabbbbbbababbaaabbbabbbbbabbaabbbbaaabbbbabb
+baabaababbabbbaabbbababbabbaaabaaabbbabababaabaab
+abababbabbaabababbaabbbabaaabaabbaabaaaaaabaaaabbabbabbbbabababbbaabaa
+baaabbabbbbaa
+aaabaabaaaababaabbbabbaabababbbbbaabbaabbbbabbbabbbaaabaababbbaaa
+baababaaabbbabbabbbbababbaaaaabbbbabaaaaabbabaabaaabbaabbaababbbbababbbbabbbabaaabbbabbaabaaabbaabbbbbaaa
+abaaabbabbbbaabbbbabbbababbabbbbbbbbbabbbababbaaaaaabbbaaababbaabbbababbbbababbabbbbbbbb
+baaaaababaaabbaabbababbaaabbbbaabaaabbaabababbaabaaaabbbbbabbbbabb
+bbabbbabbbaaabbababaaabbabbbbaaaaaaabbbaaabbbbaaaababbabbaabaababababbbbaabbaababbbabaabaabbaaa
+bbaaababbbaababaabababbabbaababbaaabbabbbbabbabbbbbbbbb
+bbabaabbbaaabbbbbabaaaaaabbbbabbababbaaaaaababaaaaabbbbbbaababbabbbaaabbaaaabbaabaabaaaaabababaabaababab
+baaaabaabababbbaaaabbaaaabbbaabbaabbabbaa
+babaaaabbbbb
+bbbabbaabaabbabaaabbbabbabbaaaaaabbabbabbbbbaabaaaabaaaabbabbbaaaababaaaaababbaabbbbabbbbaababaaaabbaaabbbaab
+baaaabaaaaabbbbbababbabaaaaaaaabaaabbaaaaabb
+bbaabaabaaabbabaabaaabaabaaaaabaaaaaabaaabbbbbbbaaaabbbabbabaaaaabbbbaabbbababba
+bbbbaaaabbaaabaaaabaaaabbbbbababbbaabbbbb
+baababbbbabbaabaaabbbbabba
+babaaabbbaaaaaaabbaaabaaaabaaabbbaabbababbbaababbaaaaaaaaaabaaaabbabababababbaabbaa
+abbbbbbaabbbababbbaaabaaabbababbbbaabbb
+abbbabbabbabaabbbbabbbbbaaaabbbbbaaaaaabbaaabaabbaaaaaabbbbabaaabbbbabaababbaabbaaabbbbb
+babbbbbbaaaaabbbaaaabaabbbbba
+abbbbbbbbaabaabababbbaaabababbababbabaa
+baaabbbaba
+abbbbaaababbbbbbbaaabbabbaabaaabbaabbbabbbabaaabaabaabbbbbabbbaaaab
+bbbbbaabaaaabbabaaaabbbabaaaabbabbbaabbaaaaabbabaababbbabbbaaabbaabbaababbaabbabbabaabaaaaabbabababbb
+bababbbbbaaaaaaabba
+baaababbaabaababbababbabbaaabaabaabbbabaabababbaaabaaabbabaaabaabbbbbabaabbaaaaaaaabbabaaaaabb
+baaaabbbbaaaabbabbbbbbbbaabbbbaaaabaabbbbbbbababababbbaaabbababbabbababbaaaabbbaabbbaabbbbbabbaa
+aabaaabababbbba
+abbaaaaababbababbaba
+aaabababbbbbbabbbbaaaaaaaababababbaba
+bbbbaaabaaaabbaababb
+babababbbabbbaaaababbbaaabbaaaaabaabaaabbbabababbbbbaabaaaabababbbabbbabbbbaabbbbbbbaababbba
+bbbabaaaabaabbababaababbbabbaababababaabaaabbbbbaaababbabaaabbbaababbaabaabbaabab
+abaabbaabbbbbbbaabbbabababbaaabaaaaaabaabaabababababaab
+abbbaaaaabaabababbabbabbabbbbbbaabbaaabaababbaaaaaabbaaabaaaabbbbababaababaabab
+babbabbbaababbbbaabaaaaaaaababaababbaaababaaaababbbbaabbaaaaabbbbaabbbbaabbbaabbaabbabaabbaaaaaabbb
+baabbbaabaababbbabaaabb
+aabbbabbbbaabaaabbbabbbbbbaabbbabbbabbaababbaaababbaabbaaababababaaaab
+aaaaaaabaaababbbbabbabaabbbbbabbabbbb
+aabaaabbbbbaaaabaaaaabbbbbbabbbaabbbabaaaaabbaaaabaaaababbabbbabbaaaabaaabbbabaaaabbbaababbaaba
+baabaaaaaabababbabaabbbaabababbabbbabbaaabbabbbababbabbbaaaabbbbaab
+aababaabbababbbbababbbbbaaaabaaaaaaaababaaababaababaaaababaaaabbbabaaabbaaabbabbbbbaabababb
+aabaaabbbabbbbbbaaaaaaabbbabbbbaaaabaa
+babbbbbbbabbbbaab
+bbbababaaaabbaaabbabbbabbbaaaabbbbbabbbaaabaaabbbbaabbbbabbbaabaaabbbaaaabbbaaabbaabaababbbab
+aabbabaaabbbaaabababbabaababbaaaabaababaabbbbbbaa
+bbbaaaaaabbaababbababbaabaabaaaabaaababbbabbabbbbbaaabbaaaaaaabbbabbbabbbaaaaaabababbaabbbabaababababbbbba
+babbabbaaabbbbbbbbaaababababbabaabbbbaaabbbaaabbbbaaabbbabbaaaabbbababbaabb
+baabbaabbbabbbbaabababbabbbaaaabaabaabbaaabaaaaaababbbaaaaaaabbabbababbbabb
+baaaabbaaabbabaabababbbaabbbbbbbaabbaaabaaababaaaaabbbababbbaabababababaaababaaaaaabbbabaa
+bbaabaaaabbabbbaaababaaabbababbbabbbbabaaabbbbaaaaaaaaaaaababbbbbbbbbbbbaabbabbaaababaaaabab
+baaababbaaaabbaabababbbaaaaaabbaaaaaaabaaabaaaabbaba
+baabbaabababbababbbbabbbbbaabbaabbbaaabbbabaabbaaab
+baababaaabbbbaabbaabbaabbbbaaabbbbbbbabbbababbbbaaaaabbabababaabbabbabaabbaaaabaaabba
+babaaabbabaaaaaaabbbaaabaabbabbaaabbbbaabbabbaaaaababbbbbbaaababaabbbaabbbabaaabbbaabbbabaababbbbbbabaaa
+aaabbabbbabbbbbabbbbaaaabbbababbbbbabb
+aabbabbaaaaabababaabaabaaabaaaabaababaaaaaabbbababbbbbbaabaaaaaaaa
+bbbaabbbbb
+aabbaabaaabbbaabab
+aaaabbbaaabaabbaaabaaabbbabaabbbbabaabbbbbaaababbabaaabbbababbbbaabbaaaaaabaabbaabaaaabbbbabaabbbbbba
+aaaababaaaabbabaabaaaaaaabbaaabaaabbbaaababbbbbba
+babbaabbaabbabbbbaaababbabbaaaaababbaaaabbabaaaaabbaabbabaaa
+abababaabbaabbabbaababbaabbbbbababbbabababbbaabaaabbbabababbaabaabba
+bbaaaabaaabbaababbabbbaaaabaaababab
+babbbabbbaabbaaabbbbbbbbaabbabaababbaaaabbbabbb
+bbabbaabbbaabbabbaaaaaabababbbbbbaaabbaabbaabbabbbbbbaaabbabbaabbbbbbaaaababbaaa
+bababbabaabbbabbababaabbabbabbbaaabbbababbaabbabaaababaabbbbbb
+babaaabbaaaabbaaaaaabaabbbbaabbabaaaababaabbbabababaabbbbbababbabbbaabbabaaaaaabbaa
+abbabbaabaaabbaaaaaaabbbbaabbaaaaabaabbababaabbbbbabbaabbaabbabbbbbbbbbbbbaabbabbabbaabaaabbaabbaabaaaaaaaabb
+bbbabbbababbaabbabaaaaaaaaaaabaabbbaaaaabbbbbabbbaabbbabaaaabbaaabbbbaaaaabbbbbaabbbabbabbaba
+baabaababbbabbbbabaaaaaaabaabbaaabbaaaababbaabbbabaaabaabbbbbababababaaaababbaaaabab
+abaabbbbaababaababbabaaababbababaababaaaaaabbaabaabbbbbb
+ababbbaaababbabbbabbbaaaaababbaabaababbbaabaaaabaaababaabbaaaabbbaba
+aabaabababaaabbabbbaabbaabaababbbbabababbaaaaaabaabbbbbabbbbbababaababbbbaaabbaaaaaaba
+baabbbbbabaababbabbaabbaabbabbaabbbabbabbaababababbababaabaabbbbbabbaabaa
+abbabbaaabbbbabababbabbbbbbbbababaaaabaabbabbbbabbabaaaabbbaaaaabbbabbabbaaaaabababbbbbbaabaaab
+abbbabbaaaaaababbaabababbbaababababaaaaabbbabaabbbabaaaabbbabbbbaaabbaabbaabaabaaabaaaaaabaaaabba
+bbbbbbaabbabbaaaaaabbababaaabbbbbbaaababaaaaaabbbaabaababbaaaababbbaabbababaaaaaab
+aaaaaaaababbababbaabbbaaabbabbaabbbbbbaabbaaaaaaaabaabbabb
+bbaababbbabbbbaababaaaabaaaaabbbaabaabaababaabaabbbbabbbababbbbabaabbabaabab
+bbbbbbbbaababbbbababbbbabbaabbaabaaaabbbbbbbabbaabab
+baaabbaaaaaababbb
+abbabbaaaaabaaaaaababaaabbaaaaaababbbbabbbab
+babbabbaaabaaabbbaaabbbbbbbbaaabaabbbbaab
+bbaabababbabbabaabbbbbabaabababbabbbbbbaaa
+baababbbabbbbabbaabbbaabbbaababbabbbbbabbabbbbaabaaabbaabbbbabbaabaaaaaaaabbbbaabbbababbaabaaabbbbaabababaaaa
+abbbaabbababbbbaababbbabbababaababbbbaababbababaabbbababaababbbbbbbaabbbbababbabbbabbbbabab
+bbbabbbaabbbabaaaaabaaaaabbbaabbbbbabaaabbaaabaaabaabbaaaaabbbababbbbbaaababaabaabaabbbaaaabbaaababaaba
+abbaaababbbabaabbbabbbbbababaaaaaaaabbababbaabababbbabaaaaaaabbaaababbbaaabaaaa
+bbbabbbbabaaabbaabaaaababbbababaabbaabaabb
+baabaaabbaabbbabaabbababbaabbaaabbbabaaaaaabbbab
+bbabbabbbbbabaabaababbbbabbaaaaabaaabbbaababbabbbbbbbbba
+baaaaabbbaaaaaabbaaabbabbbabbbbbbbaabbbbaababbaabbaababababababaababbbbabb
+bbbabababababaaaabbaaaabaaabbaaabbabaaaaaaababaaaaababbbaababbbaaabaaaaaaaabaaababbbbaababaaabaab
+abbbabaaaaaaabbbabaaaabaababb
+baabbababaabbaabbaaabababbbbbbbaaaaaabbabbaabababbaabbaab
+aababbaaaabaaabbbbbbabbbaaabaaaaa
+abaaaaabbbbbbaabba
+babbbaabaabaabababaabaaaabbbbabbbaabbbbbbaaaabaabbbaaaaaababaaa
+aaabbbbbabaababbabb
+bbbabbabbaabbababbabba
+abbaaabbbbbaaaabbaabbbababaaabaaababbabaabbaababaabbbbababaaabbbbabbbbabbaaaaaaaaabbbaaaaabbbaabbabbaaab
+bbababbabaaabaaaabbbabbbabbbbbbbbaababbbbbbbbabbabbbbaabaaaabbbbbaaabbabbabaaabbab
+bbababbbabbabbababbbababbbabaaabaabbabbaaaab
+bbbbaabbbaaabbbbabaabaaaaabaaaabbababbbbabbbbaabbabbaaabbabb
+babbbbaabaababbbbbaaababbbabaabbaabababbbabbbbaaaaababaaabbbabaabbbbbabaabbabbaabbbbbabaaabaa
+aabbbbaabaaaabbabbbabbaa
+babbabababaaabaaaaabbababbbbbbabbbbbababaabbabbaabbbabbbaaabaaaa
+aabababbabaaabbaabbabaababaaabaaabaaabbba
+abaaabaaabaabbbaabaaabbaaaababbababbbbaabaaaabaaabaabbaaabababbbaa
+aaababbbbabaaabbbabbababbabbaababbabbabababbaaabaaaababbaaabbbabaaaabbbaaaaaaabbbabaab
+bbaabbbabbaababbbabaaaaaabababababbbbbbbaabaaabab
+285 75
+ccbcaabbaacbccbaabbc
+bbbbbcacbcbccbaccaabbcbabcaabccaabbacacaaacbaaaccccccbacbbccbbabacccbcccacaaaccabcbc
+cbcacbbacaacbb
+bcbbbccabcabcbaacca
+caabbbbcbaccbcaacacccacccaabbccbaabbbabbcbaacaaacacacbbbbbcbbbbabbccaabcacac
+abaabbbcbaaabbcccccccccacabc
+acacbbaacaccaaacaaaaaaacbacccaccacaba
+acabababbabbaacaaccaccbbbccbbbabcabcabccaabcaccbccacaaaccababbcbcbcbacbcbcbcabbabaccbcabccaaacaaaccabccbccbbc
+abbacacaacabbbcbbcbcacbabaaabaabccacaabaccaaacbbabacccbbcaacbbbcaabacbabbcacb
+aaabaaacccaabbacabaababbaacbbaccbcbaaaaabcacabacaabaaacaccabbabcaabcbbbbbcabb
+bbababccbcbabaabcaabbbccabaccbcaaaacbaabccbcaaabbbcbbbacaccaabbacbbaabcabccbababcbabccabababbbcc
+babcaacabbaacbabcaabcbbcacbbabaabaccabacacaccbcacaccbaacbcacccccacccbbabcbcbccbacbbcbbcabbbbbacaccabbabcbaab
+cabccbabbcccbaaabbbbaaccbabcacbccaccabbbacacaacbabbcccbcbcbbbbabcbccacabbcbccaccaaabcaccccaaabc
+bbbccabbbcbbbccabbcacabbccbbaacc
+bbbcacbcbcabcbbcacccccbcbbcaaabbaccbcbccaaabacbaccbcaaacaacbccaaabacacacaabbacbacbbbcaaabaacaaaacabaccaacc
+abaacaacbcaaabacaacbbabbcaaaaacabccbbaabababbabbccbbabbbbbcbbcababcaaacaacabbcba
+cbabcbabbcacbbcbababbccabaaccbcacacabaaa
+caccbaaabaaccbbabacccbaabbcbcacabccaccabacaaccbbaabbccbabbaababbcbbacbbcba
+bacacbaaccaccbacb
+acbcccbccbccbcccabbbacacaccbcbacbccabcccb
+abcbacaaccbbcaacacbaccbaaababcacbbabbcbcbccaccacbbaababcaabbaaccbaabbcaacbbcbbbcaccaaca
+caacacacccababbacbaccabcbcacbaccaabaaacbaaacacbaaabcbccba
+baaaccccccbaacabac
+bbcbbacabaacbaccbbaabbccabc
+cacbcbcacbbbacccbcabbaabcbbbbabaccabaaaaa
+abaacaabcbacaabbbbbbbacabbbbacabacccbcbaabbababab
+cbcaacabbcccaaababcaacaabcaccccaaaaacacbaabbbcbbcaabab
+aacaaacbccccbccabb
+abacccbaaccbbbccabcbbbbbbbccbcacaaccccaabbcaccbbbacabcbccaacbabcabbbccacaabaccaabcaaaacbbbbcabbbb
+cbabcaaaabaaababbbaacccbbaccbacbbbabacccaccaabcbbc
+cababcbcabacccacbacbaccccbbbaacbcbbabcccccaaabbacbb
+caaccbabbbaccaababbbbbaabcbcabbacbcaabaccbcaccbcbacbabacbacacacbabbabbcccabcbababccbbababccacbaacb
+bcaacabcaccacbbcbcbcbcbccbbcbcaba
+bbccbbccaacccacacaccbcacacacabbbbbb
+bccbbcaabaaabaababcbcccbbcbbcbcacaaabccbbccbbccaabacaabacbbaaaccacbacacbaabbbcbbbbacbcccaabcabbaacbabcbcccc
+bacabcbabcbababb
+bbabbcaabcabcccbbbbbccaccabaccaaaababaaccb
+ccaacbabaccabaaccbaccbaccccbaaacbbcbbbcbcccbaccaaccbcccbbcabbccbccacc
+acabaabaaacbcacabbbaabcbbbacbbcaaccbcaac
+bbaaacccaaabbaccaabaccccbabaccacbcbacbccbaaacaabacacbbbbaaaaba
+caacccbacaccabcbabcbcaabcbbacaccbbcc
+aacaccbbaaaacacbcacacccacbbcbcaaaabbcbabaabbbcccccaacaabc
+cacbccbcbcbccccaaacaccacbbbaccbcbccaaaacaaacccbbbcacbacabcccbababcccacbabaacabbbaaabaabbaabacbcbcaaabcbbbccab
+cacbbcaabaacaaaabccbacbabbcbcacbcbbccbccaaccbacbaabccbacbbcbaabacacabac
+bcabacbbabbccaaabbcbcbcbbbbbbacbacbcbbbbaccacabcbbaacbacccbacbccbaababccccabcbaabcb
+acacbcbcbcaaaaabaaacccbccabccaabbabcbbbcaabcbcbbbcaaabbbcbccbcbbababaacbbbabbabcab
+bbaaabbcccaabbabacccabbbabbbabcbababaabcbaccacacabacccacaaababbabcbcccbcaaaaccabaabc
+accccbacacabcacbcaacabccabcabcbccbabcabbabbababcbabbaaccbbacacaabcbcaacacacaccbabcabcbcabbcacbbcbb
+cbbacbaacaaaaba
+bcbbcacbccbaccbcbacccaaccb
+caabcaacaaaccbacbcbabbbcacaabcaaac
+bacaabbaccaabacbabbaacabcaacac
+aabcbaaacbccaaaabbabccbcbacbcabac
+bbbacabcccaabcaabcbcbcbcbaaaabababccbcccaaacbcbbbaacbaabaacbbbccacbbabcccbabbaccacccccbccbacbaaccabbaabbb
+bbabacaacbcabc
+bcababcbbabbaabbbaaaccbcacbbcbbbcccbbbcacaacbcbcaaabbbcacccaaacbabcbaab
+aacbabbabcccabbbbcccbbaacbcacbccaaabbccaaacaacabbcbbacccbbacacacbbccabcacbbacbabbc
+aabaabcaacccbcbbaaccbcbcb
+baabbacbbababbcaababaacb
+abcbccacccabaccabaaacbbbbcbcacbbbbbcaacbaacccaacccbaaaacbabacccabcccb
+bbaacabcacacabcbcbcbcbacaabbbaccabaabccaccca
+babbcbbbbaaabaabbbccacccaccbabaaabacacbabcbbbbbbcbbbaaacaacaabaabbcabbbcbaacaabacccbc
+bbacbabbcabcbbbcbca
+caaaaabbcabaaaacaabcbbcbbbbbcabccabcbcabbccbcbcccbbbccbcbbbac
+caacbabababacbccbabcabbaaacacbcbbbccccbaaaabbbbaabaccabacbccbcabcaacabcbacccbbbbacaaaabacccac
+ccbaacbbaccabacbbbcbabaaa
+ababcaaaacacacaacbaaacabbbbabbbcbabacbcacbcbbbcaaa
+acabbcacbbcbbccbaccaabccbcbacbaabacbacabcaaacaacacbcaaabbcaacbacaaabbbccaccbacbbacbbacbcaabcccaabcbccca
+cbbcbbccccbccaccbbcbbcbaacccabacbbacaacb
+babcaabcccbaa
+bcacaaabacccbabcccaccbbaabbbcbcabcacccaacbabaacabbacbbcabbacccbcac
+abbacaaabababb
+cccbcbaacaaaccbabbcaaabcbbacbbcccbaababcaaabacbccbccbacbabccccbcccabcbbbcaaabcaabbcbcaccbcbaccabaccbbbabccc
+babcaabccaabacabbacabcccccbb
+bbcccbcabacbcaccbbbccbbacbacabbaaabaacbacaaccbcbcaaabccbcaaccaaabbaaaacabbaccbbacababaccbcacbbcb
+aaabaaacacabbbbcbacbcbabcccbbaacccc
+caabcbcbaaccabcbcccaacabacabbaccabbbcbabccaaccabbaabcccbabaacaaccbabbacaababcbccccbcb
+abcccaaabccccbccbbbbcbacccb
+bbbacbbacabbcababccbbbabbbabbacacabbccabcbbbaaabacaaccaacbcbbacaabaaaaaaaca
+abcacbbbcccabaccbabaabbcbacabbb
+bacabbbaccbbbbcccccabcacbbbcabacca
+bcbcbaaccccbcbaaabcbbbaacaccbbaaaabacabbbbbccbacacccccaa
+ccababbccbcbabaacbaaccbaacccbbbbcabbccbaccacaabccbcccccababcacbaabaabbbabccaaaabbaccbaacaccaaacaabccabaaab
+baccaaacaaccbbaaabccaaaaacabbaabccabcbbcccccacaccacccbabcbbbabcbbbcbcbbcaacaaacbcabcaaabcaccbacbccbaa
+bcabbcacbbaaaabccacabaacccbaaaabacabaccacbaaccaacacaaaacacaabbbbcbccbabaccabbbabbaaccbbccabbccacbbababcbaaac
+abcbbbabcbaccbabcbccccacbaabccaa
+bbacaacaccbcbbaabbcbaacbaacbbcbcabbcbacbbaabbcabbcaaacbbcaabccbbbacbaabbaccbccabbccbacaabbba
+bacaccbacaacbbaaccccbacbabccbaacbcccacbcbacbbbccbccacacaaabaccaaabbabaabaabacabacbabacaacacccb
+abacbabbbbcbcbbcacbbbaacbcabbbcbbbbabcbbabccbcccaaa
+aaacaaacbaabcacabcaacbaaabcacabcacbbbcaaccabcacaabbabaacabbbaacabccaaacbabbcacaababccaabcabaacbbac
+bbaabcacbcbbbaacacabccaab
+cbacaccccbaabacacaccaaaabbbbaaaaa
+cbbcacabbc
+cacbbbbcccaababca
+bcaabcbaccaccbcabaacccacabccaabccbaaacbba
+acbabacbccccabbbcaccccbcaabcbaaaabaaccabcacaaaaabcccacaccabcaaaabbcaccbcbcacaccaabcccbacbacb
+baabcaaaabacbccbabacabbaaabbcaaaaaccbaacbbabababccbcbaccbabababbaabcc
+baacbbcabccaccbbbaaaccbacbcaababbabcbbabacabaccaabacacabbaabbbbacbbabccbccbbcaabbcbcaabbabcba
+cbccbcbcabaccaaacbbabacccaabbbbbcaccacbaccbbb
+cabcccaaabacbcbccbaccaaacbbcbcbacbcbaabaccabbcacacacbccccbacccacbabacbb
+cccababcccbcaaaaccbcaabacaaacacb
+ccbcccabaaccbaaacabbaabcbacbccbaaabacbababbcbacacbcaacbcccbbb
+bbbaaacbbbbabbbbabaabacbaaabccacabacabaacac
+acbabbaaaabcaccacaacbcacbcbbbccccacaccabbacbababcabbbaccaccaabaabcbbcaaccabbbbbabab
+bbccaacbbabaaacabbccbcbaacbabcbaabccaacaababcbbbccbaabaaabacabbacacbaabbaacaaccaabbabca
+cbacacabbaaab
+bbcccacccbbc
+abcabaaaccbbacacaccbcaaabcacbbaccabbcbacababaabbaaaaabcaccbccbacaabaccbbabcaccaacaacacbcacccbcbaac
+aabbcbabbacaaabccaacbccbcc
+cccbcbaccbaababcabbabcbcbcb
+baabbbbcbaabcbacabbcbbabaacccbaacccaacbcaabb
+cbaccabacbcaccabccccbbbbaabbabcbbaaacabbacaaccaabbabbacaaabc
+cbcacaccacaaccbcacbabaabbbaaabaacaaaccbbbcbbaaba
+cbbaaaacabacbcbbaaaaaaaccaacabcbbabbcaaabababababaabbccbcbcaabcccaabbaccaaacabbbcacaabacca
+bbbacbaccacbaaaaccb
+cbbcabcacaabbbccaacacbacbacaaacbabcbaabacbacabcacbcabab
+cbbacaacacabbacbcaaacbaaabccaccabcccabbbbcbababaabbacaacbcaacbcccbabcbba
+bccbbccbabbababccbccbcacbaabacbbcab
+bacbbacabcaacabcaacbccbaabcbbbaabaacbcaacabcaaabccbbabccbaaccccbbbcbbabcaabcbccacaabbccacabaac
+abacbacbcbabbacccababbcaaacbbbcb
+bcbcbbcccacabacababcbccaaccabcaabbccacaaaabbbaabaaccccbcccbaccbccccccbbabcbbbc
+cacbacabbbaacbbcaacbacacaacacaabcabbbbaccbbbbcbbaacbbcabbbaaabbacacbaaacaaabccccccbbabaaaacbc
+cbbaaabcbbcbbccbcbcabcccbbccbbaacbcabcbaacaccccaacabbcabbcbbcac
+cbabbbcaabbacabbbcbacaabbcbaaabbcbcaaabbcaacbbbcccbabacacbcbbccabbaaacccacb
+cbaaccbbacaabbacbabbccababcccabccccbc
+cabacccbbcacccbcbbcabcccbcaaacabbcbcb
+bbaccaacccaaacaaaabcccbabbbaccaaabbccbaabaabbcbbacccbcbcaabbcbbabbaaaacccbabbbbacbababbbaaccaccbaba
+abacccaabcacacbbbaabaaccccbcaabcccbabbcbaababcbaccccbcababbbacb
+acccbccaca
+abcbccaacbaabbcbaaacababcbacbccaacaacaccbcacccccaabbbbcaccbb
+aabcacbcbbabacbaaabacbcbcbbcbaaaccbcaccacbcccbacbcbababbbaaacbaaacabcbbbabcbcb
+aabcbaaacbbabaccaaacbcaacbcbbaacccacaabaccabcacaacababbabcbcabccbacbcab
+aaccabcabbbcacabbbccbcacacbca
+baacbcaaaa
+bcacccbacbcbccaacacaacccbccbbacbbaccbbbbcaacabbacbabacbaabbcbabccbaccaaaccabaaaacbaaaacbbbabcbbcccab
+bcaacacabccbccbcccbcabcccbbaaaccaaabaaa
+cbbcacaccacabaabcbbaacaacaccccacbbacbcaabaaaabcaaaaacabaaccacacbbaaccacac
+aacacccbacabcbcabacabababcbccacbacbbbacbabbbbccabbaaaababaacbacbcccbaaacbcccbbcbbcbaaaaacccabbacbabbc
+cbaaacbaabbaacabcbcaccbccbbaabccbccbbbbbabcaabbabaaa
+aaccccccbacccccbccaabbacbcccbabccbcb
+acacacabaacabbacbaccaabaabbacccacccbcbcbccaababbaabbbcbcccaaccaccaccbabcabbcbabbbbaaaccbcbaaababbacacc
+bcbcbcaabcaabacabacccbabcbcbcccbcbacbacbcbcbabbbccacccbcbabbabbaaaabbbbacbacbc
+bacbacbbbaccbcbcabcbacaabbaabcbcacaccac
+abcbcaaccbbccbcabacbbcacbabbcababcbbaaaaacbbaabcbacababbabcbbabaaccaa
+caacccbaacacbbbcbabccaaccaabbbaabbbcaabbacccaaccaaccbaaccbbacbaabaababbcacbabcbbbbbcaabcbac
+cabbacaabaaacaaababcaccbaaaccbacaccacbbaaacbaaaabcaababbcbcacaaccbaccabbca
+cabacabcabbaaababaabbbacabcbcacbbcabbaaaacbacbbbacabacaaacbbcacaabbcaacaccaccbaaabbbabacbcab
+abcbcbbcabacaaaacbacbaaacacbabcaabababbbababacbbabbccaccba
+caabcbabacaabbccccabcccacac
+accccbbbacbbbaccabbcbcaabbcbabcbbbccbaccaccabaccabcbbbbababaacbccaabbcbcbabbcabbacbaaacbbabcaababacccabccbb
+cbabacabaaabbcbbcbacbbacbcccccaaccccacbcccbaaccbbabbbaaaaaabbacccbaacaabcabaccaacacabcbaccaaccbccaacabb
+bcabcaabbcabcbcaacccaacabbaaaaccccaccbba
+acbbbbbbabbbcababcbbbabacbaabcacaaac
+bcacaaacbcaaccabcbacababacbacabacaacbcbcacaccaaaccacaabaacbacabcbccbabaaacababcc
+bcccbcaabcacbacabbcabcaaacbbabacaaacaaabcaacabbbabbaababbabccabbbcbcbababbbaabacccbcaccbcbbcacabbcaabbbbcaca
+bcccbccaabcccbaccabcbaccbcbbabaccbacacbaaabbbbabcccbacaaaacc
+baccabbcbacbccbcccabaacbccabbcbccabb
+cabaaaaaabbbcacbbbaababbcabbbacbbbcbcbaaabbacacbcabbbcbbbacaabbccbaabaccbbcabbcaabb
+bcabaacccaaacaaabacbacbcacbaccaccaabaaaaaacbbcb
+bcbbabbbababbbaacbbbbcabababbbbacbcbcbabbbbcacaa
+bacacbcabbaccaaabbcaba
+cbbababccbaabbcabcbbabaabcb
+ccacaccaccccccacbbcacaabbabcaacbaabbacacaaabcacaababbaabacaababbababbabacacc
+acbcbbacbabbbbbabacacaccccbbacbacbbbaccbbcbcaacaacabcccbabbacacbcbbbaabbbaaacabccbbccabbbaaaccc
+abcbccabcccabcbabccaaccbbacbcbbbabbaaaaccaccccc
+aabccccbabbbabccbaacabacbabaccbcaacaaacaaaabcccbacbbcbcbbbaccbcbaaccbbcbbbbabacaabaaabbaabababaabc
+bcbacabacbabacccabaccccbabcbabaacabbbbacccbbcabc
+baaacaaacaaccbacccaacacbcacbbcaacbaccbcaaccaaaccbacbcaaccbbbcaccabcccccacbaaaacacacbaaaaaacabaabab
+ccabacbabaccabcabaabaa
+ccbaacbcbbcaacbbcaccaccbacaacabbbbcccbcbcbabbaabaabbccbaacccaabcbbbaccbaacabacacacaaabccbabb
+bcaaccbbccbbbaaacbacbbccccbacaaabbbcaccacccbabaacacacaababbaacabbabababbabbbabc
+caacacaaaabacaacaccabbacacbbabacccbaacbbcbbcbabaccbbccbcbaaccacbcaabcbabaccacbcbcacbccbcbaabaccb
+cabcbbbbccacacccaacaccabcccbcaacbcbcca
+acbacabaabbcacabcabbccaaacbbacabbacbaacbaaababaaababcbcbcccbcaaacacaabacacbcbaccbcabcabccbccbacbccbbcacba
+ccaacabccbcbccbaccbbacbc
+cbcccbabacabcaccbabbbbacaabcacbaacbccbbaccabacbcbbaaccbacbbabbccbcaccacabbbcaccabacbccacbcbbbaccacbb
+bbaabbcbcbcbbcbbbbabbcabaaabacbcabbcbbaccabaaacccb
+aaacbacbbbcbacbaabbccaaabbcccaccbbcbababbbbcbcacbbcbabbcabaccaababbbbccaababbccbcaabbbbaaaaccbbccbaaca
+cccabccbbbbbbacaacaabccabaabccacaaacaaabaabbbbbaccbbabaabaaaccaabaaccabaaacbbabcaacbab
+aababbcaaaacaaababacacbcaaabccccaccaaaaccbabcabcaab
+bcabbcbbacabaabbbcbccaaaababbccbbcbbbccabababaccbccaacbabcbaaaaaccba
+acccbabbccbcccabbcbcaaabcacaccaccbabacabbaccabcaacabaaabababbacbccbbcbbababc
+bbbaccaabbacacabacbbbacbaaaaabbcccbaccaaaccacbcbacbabaaccbbacbb
+abaabaccbcaccbcbabcabbbbcabbaabbabcbbcabcaabbacaacabbacabccaabacabaaabbabccbaabbaa
+bcaabbacbcccbbbcacbacbcbbaabccabaaacbacaaccaaacbbcbccbbaaaabbcbaacbaabbbcaacacaacc
+cbacbbccabbbabcbacaacbbcca
+cbcccbcaabacbabcccabbcccbbabcaaaaccaabccbbacbcbbbabacbbcbbbbc
+acabbbaaababbcccbcbcbababcbbccaccbbccbbccbbabcbcbaccbcccbabacccabaacacbcacbbaababbccbacbccaaabbbcbcaaacbba
+cbbacaacccababbaabaabbaaccabcbaabbababccabcbaaaabbbacbabaccabbcaabaaabb
+cbaaabcaacbbacbcaabaaabaacbabb
+baacbcaacbbaccabcaacabccbbcabaabbcababaabacbcbbbaabccaacbcaacaababcaaabababcbaaaaacbbc
+bbcabbccabcbcbaccccaaaaccacabcbcbaacbbbcaacbbbacabbbcbbcabaaacbbaacabcaabbcabcaabacabbccbbcaaacaccabacabba
+acabaabccbabcccccacacbccabcbabbbbaacccccabc
+aabaabbccabccacbbcbabbcaacbbcbcaabaaccbcbbabbbaccccaabcaaabc
+ccaaacccccabccaacaabaccbacbacbbbbaaaababbaaacccccabcbbabaccaaaaccbcabaabccbcbacaaacccabacbbbbaac
+bacbccbcbaaacbbcaaaaccaabbbcabacbbabc
+cacbabaccacbcccabcbcbcacaabbcacaabccbccacacaaca
+acabccacaaabacaabcccaabcbbaaacccaabbccbbbbbbaacaacacaacacbcbabc
+aacccabaaccaabbcabcbcbb
+cccaaaccaacccbcacacacbcbbbbaabbbcbababcababcaccccabaccbaccbcbaabacaccaacaccbcbccbb
+babaaabbaacccabccbacbaabcbaccbacaaabaccaaabbbaaccccaaaabbcbabcaacbbaccbbbaaaccbbbbccabbbbb
+caaacbccccbbabcbbccbbabacccbababccaccccccbabbbbbbbaacbccbccacabcccaabbaccaacbbbabbcbbbbbbabaabbcbcaaaabcabac
+bcbaccbaabaacacccaaacababbbbaacccabcabccbbcbabbabccbcaaccabbccbc
+bccbaacbccaacaccbaaaabbbacbccacacbaabaacbaccbbbbaabcabaccaabcbbbacbbabcbcaccccccacbaabbaaaacaabccbbbababbac
+babaccacbbbcbaaacaaabcbbabbacaabba
+caccbbabbacbabbabbcbaacccaaccbacacababcbabaaccbc
+bbcbcbbbabaabacbbabacbaccaaaacabbacbcccaaaccaccbabbcbabacbbc
+bcacaaaababbcbabbaaaaababccababbcccbcbaaaccaaabcaaabccbcccbaabccacccaaacaabacabaccccabaccacaccacbabcacabbcbc
+baaabacbaaccaccbccacbacbabbbbabcabcabbaacccbcaaaabbcacabaabbbbcbbbccaacbbcaaabcaaacbccacc
+babbaabbcccbbbacbbbcbbbcbaccaabcbaabacbbaaabbcbaab
+acacaccccbabbaccbacaabbababababbbbcbabacbaaabcccbacbbabaababbccbcccabbabbbcaaaabbbbabcbbbcbcbb
+acbbabbaabacaacabccbbcbbaabaacacbcabaaccbbcaabcbbacabcbbaaacccaaacbcbccbcaacbccaccccaabb
+ccabbacbcccbc
+bbbcccccbbabaaaaabbccabacbcbaacabbcbaabbbbab
+cabcaabccabcacacabbbaacacaaccbccbcababbbbbcabbbbaaaabb
+aaaabcbbacbbaabbcabbbcbcaaccccaababcbaaac
+bccacbccaccababbaacbbabcaabbacaaabbbbaaaabbaaaaabcccccaabaaaacacaacbbbcbcaabcacaccccbbba
+cbbcabcbcabababcccccccac
+bcccbbcabbaabbaccccacbbcbccbccccacbccbaaababcccaababcccbacaccaabcbaacbabcabacaacccbbccbbbcaabcaccababcb
+acaacbbcbcbbaaccacbcbbbcbbacbcabbbabcccccbbbaaabbaccacccaccababbcbacabbbabbabccabaaabbcccabccbac
+ccbbaccabbabba
+caaccbbbcabbcbcaabcccabaabbbcaabcbcacbcaacaaacccabbaaaaabbbacbccabccbbbcbccaabbbaacacacccaca
+bbacabbcaaacacacbaababbcaacccaabaabaabcacaaacbcaccacbbcbcbbaccbcabcbccbbccbcbcbccbccacbacbcaabac
+aaccaabbcacaabbccaccbcaccabacbcacacccaaaacaaacccbbbaaaacbbcbcabcbbaacacbbabcbcaacacba
+aabaaaacabbcbbcbbcaccaacabccabaababaabacccccbabbbabcbccacc
+aabccbbacbabaabbbbccbbcaaabbbcabacbccbabcaccabccaaacbbbcbbbbccacbcabcabcabababaacacbcbbacbcbaabbbaccaaab
+bcbbaaabacbcaacc
+caaabbbcccacccaabcaabbbcbaabcbcbcbcbaaaabbbbbaaccbbbacbccaccbcbabaccbccacaaabbacbacbbacaabcbacacacc
+aaabbbcbcacbcb
+aabcbacabbbccbabaabcaaaaccccbccababccbcbbcccaaaacacccbcbbbbacacaccac
+bacbbbcacbccaacaacacabccabcaaabccabccabcbcccbbbccbcbccbcbabbabbaacbbcbcacccaaaaa
+ccbaaabaabcbbbabacbbcbbcbcacbbbccabbcabcaaabbcabbccacaaccabccbbbbcacacabccbbcbca
+abcacbcabccacbacccbaacaaacaacbabcaacbbbbcacacaaabcaaac
+bbcaaaababbcacbacbabcbbcbcbaacbaacbbaabbbcbaccbccbaabbbccaccaaacabcbacbbcabbcbbbcacabbcabca
+ccbcccbcacbbaabacaaacbcbbaacbcbabbabccbcbbcca
+acbaaacaabcbba
+bcaccacbcaaa
+bccbcbbbbbcabbacbaaabacccaabcb
+acbbccacbbaaccbbacccbacbaaccccaabcabbabcbabacbbcbbbcabccbabcabcaaabcaabcaaaaabaaaccbacaccbbbcbc
+cbabacbbccabcbcccbccacacabcbcaccacbccbbbabcacabbbccbabbcbcaccaababbbcbbaacb
+acaaaabbbcbabaabaaaaaacabaccbcbaacbbcccbcbbccbbaaaabbaabccbbcaabaabcaacabbcabcacaaabaa
+cbbbbbbccaabbaabccbcbcbbbbccbcbcbccacabacab
+acbccccaabcacbaccbccacbabcbcbcbccaaabcbabacccccbba
+abaabcbbbcccbbcaacbcaabcaaacbc
+bcbcabcccabacabccabcccaccabbbcbccaaccaacaabaccacaaaaaaccbcccaaccbbbbbbccbcbcabbaaba
+cbabbccaababacaccccbaaabcaaacabbcccaaccaaaccbabbaaacabbbbcbaacbcbacbbaabbcbcabcbbbcabbccbbc
+aababbabbcaacbabcbbacaccccccaababbccbbcaaacabacbabbcaabbbbaccabcbbbbbbaaa
+cbcbacabababaabaccabbbbab
+bbabccaaacbcbcbcaacbacabbabcbccbababcbcaaccbacbcabba
+baacccacabbacacaaacabbabcabcccaccbbabbbabbacbbaaacbccaaaababaaaacacaacbcbacacbbababb
+aacbabbcabacbccccaabacaccabbcbbacaacbccabbaaaaabccccabcbbbaaccbaabcccacbcbbaaaccbbcabcabaabbcacabcccacbb
+aabacbbcbaacbcbcabccccbaaacaccbbbccb
+aaabccacbbabbccbaabcbacaacbacbabbaccaacca
+ccacccbabbcccabcacacccbbbcaabcbcbbbbbaccaabbaacbbcbccb
+bacbabcaabacccb
+accbcaaacccbabcaaabacaacaacaababaabbcbbbcabbcbcbbacbcc
+abbbbccaaaaaaacabbcbaaabbabcbababcbbccccbbacbcbcbabcaacbaacbabacacacccccccaccbaccbcccbab
+abcacbabbbccccccbbbaacccbcabbbaacaabcababbaaabcaabcbcaabccabaabbcaabcaaaaabbcaacacaab
+caccbbbbbccaaacbccbccbbccbcbaabbccaacbaababbabbcbccacabcaa
+cbacaabbbcccaccbbcacbbaccca
+abccbaccacbacbacacacaa
+caaaabbaaabcbcbbaaaaacaaababcbcbabbbcabbcacabcbbbacacabbabcbababcbcbcbababbbbcbabbbcbcacb
+acbaccbbcacabcaaaaacbcbaabbabacabbbbaacca
+cbbbcabbcbccccbcabcaccbaabaaccbabcbbccabbbbcbbbacaabbcabbacbbccaacaacabaaabcbbacbabaccbacbb
+aacccccbbbccabbbbacbccabbaaaccaaacbaaaccbbcccababbabaaabcccacbbbcbacccbacbbbcabaccaaccacaabcaccccaaa
+ccbccbacbabbab
+baabccbbbbbbbcbababbabaabcccacaabbbccbaccacccbcbcbbbbaaaaacccaacaabaabbacabbabbaccaabcaaccc
+acccbabcbacacbacabbcaabcbcbcccababaaaabacbccacbabcabbabcabacbcbccaca
+aabbcbabcbcaabcccacabccccabaccbbacabc
+abacbbcaaccaccbcbbbbacabcaabaaaabaaacababbccaabcacbcaacbbbbabcbaabccaacaaacbbbc
+ccbaccbacacbccbbbcaabacacbababbbbbbaabbacccbabcccaabcaaacbac
+abacaccbbcacaacaaaacbababccbbaccaaaababccaac
+cacbbbcababbcccbcaaabaacbbb
+cbcacaacbacbbabcbbaacbababaacacccbaabcabbacaccbcaacccbccacccbaabacccaa
+bccbabbbcacaababbbacaaacaccccaabaaaaccbcacbbabcbbbbbacbaacbbcabbaacaacbccccabbaacaaccccbccacababb
+cbaabaacbcbbaacabbccbabbabbbcccbbcacabababbcbcababcabccaabaccabbacabbbcbccbca
+ccbbccababcaaccccaacbaabcabaacbbababbcaacbbbbbcccbccbacacbbbbaaccbbaccabb
+aaccbababbbacbcacbaabcbcbabcbccccbaabcbcaabaccabcaacaaba
+cabbcbacabbabcccccbbaacbcbaabcbacbabcaaacccaaccbccbabcc
+cbbcbcacbbbaaacbbcac
+bbacaaacccbabcabacbcbccbacbbcac
+cccbbabaccabcbabcaabcacbcbbcbbaabcaabcaa
+cbabaaabcaaabaacbcbbaccaababbbacacabccccbccaccbabcabbabcccaacbbcabcbbbabbabaaaaabacbcbb
+bcbaaaabbbbacab
+bccccbcababacbcacbcbabbababaaacbcabbcbbbaacaabbcacaabcaabc
+253 4
+aaddcccdbaaabdbaabaccddbcbcaccdbbbacaadbaaccabdcadbcbaacccaacbb
+bbabbaaaccacbbbdbddabbdddabacbdddbaaa
+addcdcbbbddcdcbacdbbbabdabcdccacdbcbabbdadbbbbaadb
+acaaccdcadcccdcbabcddcaadcadbaaabddabdbbacccbcbbabadbcbc
+dbbbbaaacdcabddabcccaaccbadbccb
+dcbcbadbabadbddbbcccaccdcbcdbdaccdadbbabcadcacdccabadacaccadacadbaababbaadd
+ccbbbaaabcbcacadbdbbbbbccbbbbcacaddacdcaccccddbbcdba
+abcbcddaaaa
+dccdcdbdacadcabaadbbbdbcacadacdbadabccbddadbaaabcbcaddcbcadababaacbcbbacaadbcabcdcabccddacd
+dbbbddbdcccbabbcabbbdadcdbddbadacacacbdadcbdbdcddbabbccaddabadcbdcdbddcbd
+cbaabbadabacbdbabddbbcaaacc
+cdcbbcbdacccdabadcaabcaadbcbbaddaadcbdcbbdaadaaaaabadcdccacdddabaacababcbcaabdabcbcccdbaacdacdddbccabdabaacbd
+ddbadcbaacddddddbcbaadacddcdcaddccadcccbbbaaaccabaddacdbcccbbaabadadacbcbacbcdbcaacddadac
+abaadcbdbddbddcddbaaadddbccbdcadacdacaaaaabaaaaadbcddbadddaaaadadacd
+dbcabadbdacacbddbcadcbababdaaadcbdccbcacccddcbcbaabbacabcccaaccddcacadbdbbad
+dbdddbabddccddccdbcad
+ddcabbacdaaadbaadbbbbcacbccbdabbadaccbbcaabacbdbbddcdbaadadcacbddcbaaddccbcbcbbccbbcbacadcaaabbbdddaddcb
+dbdbbaadbcacbdaacaccaacbcccaccbbabbccdccbdccabbdcdcbddbdcabacaddcddcbbabad
+cbdbcbdcddbbcacbabbcaacbdabadcadcdaabacccbdbdcbd
+acbdbdccbaaadddbbabababbccccadbcbddabaaddddaaaaccbcccabcddbbcdaadacabdadbccccabddaabbdcddbdccadbdda
+badcddadaadcdbccbccabdbcdaaababdbbddcaacccabbacbadbccabcbdbcacdbaadbcdabbbddccadbbddaccdcbdadcbcdbabddcc
+dbabcdbbbcacadccbcacbacdadabbcdcccabcdccccaacbcacbabcddbddaccdcadccbcca
+ccddbbbddbddbdcabcaaccdcdcdbddcabdccacbadddccaadddaaaddaaaddbcdabacacdacdbadcaaddcaddbbaccbcbbbdd
+dadbaabbdddccbbbddcdadbdcddadbbddaacdabadccbccbacbcbddaddddcbcbcbdaccdcdaaddacadddccaddcadbabdc
+dbbbbdbacdbbccacbdadadbadbadcdabbbdccadadccbbaacbdcd
+aadacdaaaacbcbcdbabaadacbbdadcabc
+cacccabccacddbaadbacaaacdbbccdbbcbcbabccabccacbddbdcbabaaacdadad
+cdddbabbabcabcbcadbcdccddbdddcdbabddbdadbddcbabbcbdaadddcabccdcdbdacacabcccaacbcbdbddcddbdabbddcccbdab
+bbbccaaadabdbdaccccccbbbddaaabadcbdcbbdaabdbaaccdacbdcbbacccddcbcbcccdcbbbbddddbbdbdbddddacbbbbdbaacd
+daaacadcccadccacbbdcbdbdadaaadaaaddbaccbbabbadaacbcbadaccbcabd
+badbdcdddbbddcabbcbbdbcbacacacdcacdacdd
+badbcbbaddbcbbddbddadcbaadddabdcabaaccdaacddddbbbcddcaaccccaccab
+dbcdcacdbbcabaacaabddbcbbdaabcbadcddbbaabdcbabbbdacabdacaccdccaccddbabacccadddaabcbaab
+bdcdacacbcbcadc
+dbabdacadacdaabdddbabaccddadaccbbaccddbdbdbddacdcadcdc
+adccabcdbaddbbaaababaddcbddcbcbab
+cdabdaabccdacbdcababaccdbcddaddbddadccbcccbaaaadcddbababaacdbcbadababadccbcdabaddbdac
+ccdbcbcddcbdcbacdddbbbbcbdcdbccacdbbcdcbcddabdbcbabbdddbcc
+dcbdbcababbbabadccdabcacbcbbbdcadcbcadcaddcdabdaaadddaaa
+cbcacabcbcabdbcdcddbcbaacbcacbadddaaabbccacbcbbddab
+ddbbdbaddcdccadadddaabadccaabccccbdddbddbdcbcb
+acaaabbdaacbbddbdbcdabdddcdbacadcccaacadacdddddbadddabddba
+adbbabcacccacdbcdbbdddccdccabdaacdadccabccccbdaabadadacdbbcdddbdbbdcaaccdcbbbbabdaaccabdcbcabcbcdabadbb
+cbdcbacabadcacddbdabaadadbcbc
+acaacccaaabccdbccbdadbabacacabccdccbdccbaccdccccddcabbbbdccdccbadbadbcaaadbbabdcaadcccacdbdbaaa
+dadacdddaa
+dadacdcbcaabdbdaddadcccbbcabcbaccbbabbddcaacabdcbccbccaacccadddcbb
+baacbcdacabdaccadbadcadbacdadbdcbddcaaccdbccbdadaddacbba
+dbbababadddbcdddbaaadcabcabdaccddacadcbcabbacaa
+accdbdaadcaba
+dddaacbbaccbbddccccbcbddbaacdcd
+bddbbccdaaccacdadcdadddbadddaaacddacbccbadbacdbccbdbbbbabdddddadbdabcbbadcabddacddbdcdcadabacaa
+aaacbcabdbadcbbddbbddbddaddaaccbbdaacabddbacadddddcaccdcbdddcccacabccc
+adbdccdddcacbaadbaaadbbdbbdcacccdaadbbdbdcadbadbcabbccdddcbacac
+cdbbcbdcaabdadcbabaa
+cdbbdbbacaadcccbdbaacacdcabccdccadcdbbbcaacaadbbdbcbdbcabacbdcabdddbbcaccbbdacabdaacbacaddaccd
+adcbabaabbdbdcdbabadaacbbccbbbddbdddbacdbdcdbbc
+ddbbccdcbdccaacccdabdcacadbcbdbbbabddcdcdcaadcddaccacdadccbbddcddadacbbabbcdddcdb
+acdbdccddccddbdcaccdcabaacaadcccdbcacdccaabadddbcbacddcbccbdabddcacbdaadbaaadacabcdabdbbcbbd
+babacdcadbbdcca
+cadcdddbdddbacdadabbabcabbaadabdbbddccaaccddabdb
+aaabcbaaabbcabcaaaaaabdccacaaaccdcbbdddcccbccbdcabcbbbcdbdadbadcbadababddbccbdcdbac
+caaabdabdbccdaadddadaaddcadcaabbddacbccdd
+daaabcbadbadbaaacbacaadcbcadcddabbdbcbbdaa
+bddbdaadbdcadaddaacbabaabcadaccaaabbccaaabbcddbccdbbbcaccdbdd
+aacadcdbcaabacadaacbaabaacccbdbaadaccdbabaddacabbaaabdccbbadbdaccaadbbbadccbabbccbadabaccbbabdababbadccbc
+cabcbccdcdcaaacddcaddbccadaccacacdddbdaaabbbacaaaddadbbbbacbdbbdaccabbcbacdda
+adccdbbacddbccadbbddbcbd
+bddacdddaccddbadacddabccbdcdccdaaacbaaacaaacbabdccbdbdadbdcab
+daddbbdddcccdaacbcccccddaacdaaca
+dddacaaaabdacdadbddadbabcbdacbccaacbdbddccabbcbdddccbacacdacacdddcaddabcdbdbccbbb
+ddcdbcbabddbacadadbdacadddaababbadddadcdcdadc
+ccbdbabbcccddbaadbdddabcdbcaadddabdadaabcacdaabddaadbbbccacbcabcbdd
+baadbcbdacdaaaaaccddacabacbbcddcddbdbdbccacd
+bdbbccdcdccaabccabdaac
+bcabdbadcaacbca
+ababcdbdbddacdaaddccccbbdcacbabbabcaaabaddbbdcaaddcdbc
+bbcbbbaabacccbddcddcbadddbadddbbcbbcabdbcbccabdbbcdaaab
+adabacddabcddacddabbabdacababacbcdcbcaabadbacadcababbccbbcab
+ddbadadacbdbabcbdaaaabbcbacbdcbbdccbadaadaa
+daabbcdccbabaaaacaccadadcadbabccbcabcabaacdaaabdcc
+cbbbbaadddcbccdadaaadbcadadadaccbcddbdddbdaccdcdbcdcdcbbbca
+ddcdcdadbcccaabcdaacddcababcdbaacbccbccddabcdad
+bcbdabadababbaadbbcbdccddbdcaddccaccbacbcbddddaccbadddbbbcdccbbabcacdbbcccadca
+abbadbdabaaaccbdddccabbbdddacccabcbcbabaadaadcbcacbbddcdbadabcdcddcbcccddbbdaadbadcdaaabcabcaccddadb
+bddaabbbdbadbddacaddcdbbaccaadcbbcddbbdcdaaa
+babbdccccbdcbcabccaccdbabcbbdbbccdccaaccdddccdbaccbccadbd
+adcbcdcacadbaddbccdc
+bcaabaccddddabbdadab
+cabbbadadaab
+bbbcdacdabcdddaddcdcdabbbdcaaddabdcbaccccdb
+cbabbcddaababcbccabbdcdacdbbccabdacccd
+bbdacdbdabbdbdcaadbcdbbacbbbaaabdaabbabadccabcacaabbadbbbbbbdacdbbdaaaaabbcacdbbbaaabc
+dccdbbadbcbababcadcbbcbbdadacccababc
+dbbbaccdbccbccccbbdddccacdddc
+aaadabadddbbbdcdacbcadcaadbdaaadacddcbaabaadabdaacaadbdddcccbcdcdadcaaadddcaaacbbcca
+aadccabacdadaadaacdacbcdcb
+baccabacdbacddbcacaacccaadddcddcdddcadabdaabbcaadbabaadcdcaaddbbccbccabaabdbbcdc
+ccdbbcccaacbdccadaadcdaaaabccbbdbdabbbdabcacababcdcdcddcacdaadadcab
+dacbbbdcaccdccaddddbbddbaacdbdcdacdbabccccccab
+cbabcdabbda
+bdcbbababdccaabcddbbdcdbabbdccaadabcadbaacd
+cabbdabdbdadbcbc
+bcacbacadaccdcbdcbccabccddcabdcbbabcbbbbc
+badacdcadbaabdbdcddcddadbdbbcbdabdbdcdbbaabcdcaabacbacccdcbcdadbddddcbdbcdadada
+adabacbbdaabadcacdcddcbcbcdadccdcdabbbcbdbcbddbcccdabb
+bacdbbbcdaccbdadccdddcacbccabcdabbacbdbcaaaddabcbbabbddacacbbccaadbbcdddbbabbcaacacdcdbabdcccdcaadbdddbadcda
+acdcadabddcbbdcdacbacabcaaaddcbdabcbcbccacbaddcdbddacdbbcacaccdcbddbddbcbdbbcdcadadccdabbbcdcaa
+bacbacadddabcdddbbdddbbbcdcbbbcddacdbdabbdbbccbaccdbccdad
+aacaccbcababcbabdbadbaaadcaccacaacdaaccccbacbcbbcdbbababadaadabcbddddbcbcdababaaccbdccc
+bbbbabdcdbddaaaacbbddaabcbdabbcbccbdbaaddaaaacddccacdaabc
+bbbadabaacbaaadabddaabaccbcdbadbbddbabccddbdcacadbadbabaddadcac
+caaaacddbcbbbcbaccddcccbbdbcdaddaccddbacdddcaabcbddaddcbbbdaddbabdbdbddaabbcbcbdbbcab
+baababcacdbadbdbaaddbbadbbbbbcbddababddaacccaacdabccbdabdaadbaaabdbcaacd
+ddbbbccabdcddbbddd
+abbbdbcbacbabcddbdbacabddbaabcbaccddddbdccddcbaaabbbccacbdccadacbccdcddaccdbbdacbbccbaaadaaadbbadabccacaacaa
+cbcadbcabacabdabdaabcaacabbcbdbddacaddaaabdcdabdcadcbadcbabdbbdcbc
+dbabdbccbdacdbadcbcacacdcdddddaddccbabcbdcabbddbdddadabdbbbddbabadbcaaca
+baabdbbaacabcbabdbcccdacabbdccbcdbcadbdbbbcaacabbbdbbabdbbcbbccdaadcdabdcdddcaacaacda
+baaaaaadbbbdacacaccccdabababaabbabccacbdbadddbcbbdacacbabdaccbc
+daaccbabbadccbacaacbdabddbcdaababbbcacbbbaacdadbcaddc
+ccbcddcadaaccdbacdbcabbadcccbcbcddacababaaaababccdabbdddacadabbaabcbccbacdacd
+aaccbddbbacbcacadaddbcaabcbcadbdacbcdcacdcbddabdccbcadcab
+cabbcacbabddbbbcbdbcaacabbcdccaacbcaccbcdddaacabcbdbcbabcdadcddcbdcdaacbacdadbcaabccdaddaccbacadbca
+cbacaccdaaccdaaadddabaaabd
+cacbdaddacdbbbbbccdabbbcbcddbdbbdcacddaabcad
+acccbbdacabbabbddcbbddbddadcccadcddcbbacaadccdadcdbabdcbbddbbaaddc
+dccdadbcadbcaadadcbabadbbaddadcdabaaccbbccadabacddababaabbbacadabdddddbca
+abddbacadcccaddbacbaacbbcddcaaadbddddacabdcdbbcacdadaabaddadcdadaddaddccccb
+bcdabaccbcadcacccdbddabaacadaadaccccadddadacdbaccccbdcdcbcdcdaddcdc
+abccdaddcdaddcbacbcddcababbcaccdabaccdbbaccbcbbdddbcbdbbcbacdcbaacbddacccaadcbdbddddabdbb
+babacdacccdadbbcbdca
+dabbcbdbabbba
+ddcddccbabbdcacddadcdabcbbcdbbbdbaadadcacbccdbbadbacd
+bdacdaddcabbbccbcdbaacaaacabacdaccbddbcdabccbadcddcaaccacacdcccddcdadddccadccdaca
+cddaacbaadddaddabbdaccaadccbcdcaccaccdcdc
+bbbbddbddbabcdaccacdbabcbbaaaccdddbabcccccabdabbdddcc
+aaaccccdadaadbbbcdba
+aaccaddcddbcaadcaadcbaccacdcabcaaadadcabbbdabadbacbdabbdbbddcdcbadddbacbbacccddaacbbcbbbacbaddb
+dbbabdbacccbaaabbaaacdbdabcadbdccdcabbbbdabddbdbbdccddbacbcdbbaadaddcdbbd
+ddcaadcacdabacbccdacddaaddabacbcbbbddabcadacbdbdacdbdaccccbabadbbcddbccacbbcdaaaabcadacccdcaac
+bcabddbbbcdccbacabacdba
+bddaddcadacbbabaaaadcadcdcdbaabcccdbabcdcdddddbabdcacdbcbadbcdaacacadaaddabbdccadabcaabdbadcdb
+bccbbdbbbbadaabcdbcaddccdbdabaccacdaacbbdabaaadbbabaadbcccdbdcccccccdcbaccdcadcccdbdbaddbcaadccabad
+bdddbddcabddbbcabcabadcaabbcdacc
+ccccbaabccddaddbcabdbabdbdddb
+ccaacdbcbccbcdcbaaadabdcaabcdccaaadbaaadcdbabaabddddacbcbdcdccda
+badbbadddaacdbcdbdbdaabcdcaacdaacacacbadbadcdaddabdccbdbabbddbcccbcccaaacbaa
+dcdaadaacccdbacddabadbbccbcdbbcddbbbddcacbaccacbbdbcacdcdbcaadccaddccbaabbcacdbdcbaa
+cdddbaadbab
+bcdcbcbbddcbcabbaabcdabbcaabadddbbabaaddaaacadccdaacdaaabdcddcaaaacaccbdddcddababbadcabaabbcdcda
+ddbbccbccccddbbbdcaccbbdcbddabdaacaadbdbaddcbdbadacadadbacbcdbaab
+aadaacdabdddcc
+addccbbadbdadbbbbaadccadcacbadaaaccddddadddcbadbaaddccbdcbbbaccbdaac
+dddbcbacabdacccdadbbcc
+bbdcccbccdbccdacacddcbbbdaacbaadbdbadbcccccbabdddcbbbacbacddccbadacbbacccbcaacbcabca
+abaadccaccaacdbbbadbacccaaddadbaccdababdbbbdccbaacdcdcbdcbaabdacbcaadccdbbbbcadadadabbddabccdacacdabdddababbc
+abdadcccabdadbbccaaacaddbadbdabcacccdcdaabbdddbdbbcbdbcdabbbaddbddbbabbbabacbabd
+adcbaaabcaaabbcacab
+aadbadabbdccc
+abdddaaccdcdbadbdcddddccacbacbabcbacbbbc
+dbdbbddddbacbcbcaca
+acddccdacacaadacddcacdbdcddaccabbbaaaccadbdcaaadcadacdcacdacdbccc
+dabcdcabcacdacbbbcbccbadadbadddaccddacdaabddbcbcdabddcacaccadcdaaabbcaaacdcdacdabddddbaaacbdbccbadbbbab
+aacdacadacddcdbabdaadbbaa
+bccadadccbacdcddbccdcabcdbaacdaaccdcaaaadcdbbbcaacbbccabbdccbaaadcbcbbbccddcdccdabda
+dcdccbbcdcbdccbbcdccdbbbaadabbdcacabd
+cddbabaabbadcccadccbccdbadccdadacbbcacdabaabcbcdacadcacbacbadcbdbaaadbba
+dcbaaacadcbdbaacccdcacacdcacdcdcdccaccabcdcaabdadaacddadaddbcabbcbdaadcbdaabacaadcddddbccbabdaddadbdbcdbadaa
+abbcccbdddaaaccabddccaacaaacbddcbdcadcdabbcccdbbbcdaaadaaccadadcbabbcacbadadacbaddcbdccdcabacabddddaddcdcaba
+ddddbabacabbacdaddddbcaadcbcdbbddccabdbbcaaccacbbaabbdcc
+bbbabacddaddbaaddbccaac
+acdabbcccdcdddababdbddbbadadbaaabbdbaaadabdca
+accdbbbabcdabcdcbddabcbddacaaaddddccada
+cadbcccbdadaabaddbcdabaaaddaccbdcdbaddddccabccaabcbbbcaaadaadadacbccdacbccdbdccdabdacbcbccbcddbdbabbbbda
+adaddbaccbdacbcbabbadcaadcadccdcabbaddcbacacaabdcddabcbdacbcbbdb
+bcdcdcdcdb
+ddbbbbabbbdcabbddd
+ddcddbdbcbacdadbdbbddbbadcaabccccccacccdbdcabddadbbbcaddddaccdbbbaaaac
+adadbaddacbcdddddbaabacacddbadbbcadbddbbbbddaabbacdacbcadaaabccdbbcdacadacdccbbcccddacadaba
+daaaabddaacdcccccbadacda
+cdddbbdabddbdcaabdaaadcdaccdddadcdbdbcaaadbbcbdccbaaccaddbbcdadaddddbcccabcaacacdbbdbbbac
+bacbabbdacbcdabbcbcdbabbbbbcacccbcdcadabcdc
+bdabcbbdabdbaadbbbcdbabddcbbbcbddbac
+baccbbbbcddadda
+ccbbacabdddaccddabbaaacaacbcccccaddaadddabcaaacbcdcdaadbbddbcddcaccabccdbddcdabcbbdcadadcadaab
+bddaaddbbc
+aadcabbdcdaadcbbdccdbbddcbabcbccbdccbbdbdabbbccdadadcdbddbacdadcda
+bababbbddacdabacdddbacbbacddccbdccabbbcacbaadbcbbdbccdadadbacdabdabbccdbddabdcacadddaacdcbcaa
+addbdcabaacdcadbcaddbccccdbaadccddbd
+acadadbaccdbbdcabdacaabcbdcabbcbbabccdabcbabbbbdb
+cadacaddcdacaccadbadadccccbdabbaccdabaaabacdbaddddbbadcdbaacccabababadabadbc
+aaaadacacccdbdbcadadabaaacbcddcbabdcdcbdddaacbbbbacbbdbcadcbddccdaba
+bcadbadcadbbbdcccbdaaddccbbdccbdccddcbcddddacbacbbdddbbaadba
+badcbaadcccbab
+bcbbddbbcccbdbadcbddabcdababcaccbdddccaadbadccbadbddadcbcdacccaccbaabaaababbccbcbcddbccbccbaabcb
+ddcdadbbadadddabaacaaabcabdbaddbdccbccddcadadaadaadddbbbcddbcbbbbdab
+cdcbddccdacbbcbdbacaacdbacaccdd
+aaadaacacbddbddbaccadadcaacccbaababbaabaddbbdcabbbadccbbabbcdcabaaadbadbcdccbadddbddacbcddaccacbba
+baacaabadccbcbbb
+ddcacccbcdbacddaabdddabcccadcacaaaaabdbbbbdaddbddbabcbcaddbddbabdadaababdadcadcaddcabacdcbad
+aacccdabdccaaaaacdcddacddcaddcbdacacdccacddaabbacddccbbdadaaccaccabadcdcbcbcdaacbaccdbccdab
+bdddbddabccadcdcccbacdaaaddaddcaddcbacdabbacbbcddaacdcadacdacccdddcdcbcdcdbbbbdacaccdab
+ddbacbacadbcccdcddbabbddddbdabdbbbbacccbcbdbadddbbdbbcdbcdbcabdcccbdcbbabbcdcccabc
+bdbacdcbdaaccdabcaaacacdbbabcbcaacbaabbdaabaabbdcbdaabcbbcdadbddcaddaccadcabcbbacdadbddcddacbaddd
+dcdaadadcbbddacbbaaccdadcadcccadbabdcccbdbadcadcabbaabacdcadadbdddbddcbdbabbabcbdcccddc
+abccbaacdadbbdadaccdaacccddaadbdbdddbdc
+cbdcdbbcbdacbadddbbbcdc
+bacaadcacbbcabbbcddccdacadadbbdcbbcdbdbaccbabbbbccbbdccdbbbaccaadbacdddbcdaaddbcccbcabcabcccdbddddbbab
+ddbdbacadaaa
+acbccccbbacbdadcdccbbaddbcdcdbacabdaddabcddbbbcdcaaccacdcbdcabcbaabdcacbaacabdcbbadaabdadbdcdaabadbaadbccd
+dddbcbaadbbcabaabaaadabbacdabacacabadacbbbdcccbbdaaccabaddacbad
+dccbdcbcdacadbcdabadadaaaaacccabb
+dadabbccbbdbcddbbdddbbdc
+aaacbabaddbaacddbdbaabbabbdbadcdabaaccacbcdbbacca
+cbccbbdbcbcababcbaaaaadbcdccdcaddbbcddaaabdacbcabcacccbcadacabddbdaddcdacdbdbcccbdbdddabccdbbcadd
+bdcdbbabaabcdbcbadabbaabcabbddabcbcaacccdaaccacbbbaccbabaabccbcbcda
+cbcabbaaacdacaacdcc
+daccaccdbaaccdadbbbbdbacccbbddccddbcdabacaabadaccbddadddccdadbadcbbddabbbcdcacbcbbddacacd
+bbbbdcacaddddbccdcccaccaabcaccbdadcabd
+dbbaddaacdddcbaaabdcadcddcbacdadccddbbbaabdcabbdadbaddbdd
+abcddadbacaabadbbcdadadbaadcbccbaacbdbaaddbdbddcbcaccadaabbbadddbadadacdccdabcbdccdbccdacdccd
+adbbdcbadcabdddbdcaddccbbdacadcadabcdcbbcbbcaaaccbcabccdcbcddccbdcb
+acbaaaaacdddabbdbdaaaaccbdbadbdddccaaa
+bdaacdbdcdcaadcbaaaadabbaacdcbbcbccdccabcaabcbbacdbdcadbdacdcdcbdbdcaaabdcccaadcbcbabc
+cccdcbcabbccdbbbdcacacbdbbdbdaddabadbbcabacabaaacccdbbadbdcbbbcbcbbadbdaccbbaddaddcbaabdacbaacad
+dadcaddcccdcaabadcddcdcc
+bbaadbbcdbcaabbbcbdcaccbddabdbadbdaacabdcaddadaaccdbdabbccdcdcb
+dacbbacdcacaabbdcddaddbbaabbcccabcb
+caddaabbbccbdbdddbdbddbdcabbaccdcaabbabcbcbbddaaccadacadcbbacadbaaabcbdddbabccabbdacbcdabadcbccddaddabab
+aadcbaadcddabdbddccdcdbdadbdccbdbacbdddcbddccaddacdaddacccbcaacaabcabbaadcbdccbbbcdcbdbdcaabdddabdbaacbdddcd
+acddbdadccbadbcadbdcaddbadcbbbbbcdcbabccaacddadaacdbbaadcdccbcabdcadbbba
+cbbbdbdbccbcccdddcdddbadcaddbcabdaabddcdbaaaabbccdcabdbabbddccacadabcdaccddcbbaaabadaddbaacadbdaddba
+cbbdbbbaabbbcbcbadccbbaabbddcbdddd
+ccdcdcdcddaacbbcacaadcb
+dbbabaaddbbdbdcbcdbacdbaccdaacddbcbdacadcbcdddbbbddddbcadcadadaabbabcbdbaccaaccdcbaadcdcabbbcaaccbdbadaa
+acdcccbddabbdddaacbbbdddbddadaaccaababcbaddadaacdcacbbabccabcabacbcccbbdcbdaadcacdadcaddcbd
+cadcbdbaddabcbcacccbbddcbcdaccbbdabcdbcbdbcdccaacccdccabdbcbabdcbacdcacccbacbbdabdaccbabbbdcbbbdbadaab
+dcbacddbbadccaddcdcdbadcbbadaadccabcdccaadcadacadbaccdcbadadcadcab
+daccdbaddbcdccddcbcbbbbbacdadbdcdcaabcbadcbddaddcaacadcdbbab
+acdabaddbdccbdbbbbbddbcdcabbdccbadccdbadcbacddbbdcb
+dbacdabcbcbdccacbdbdaab
+acbbbcdbdbaacabdabacdccbacccdbacccbcbbac
+dbdacdccccdccaabcddcbababdaaabbccaadbadadaddaadaadabcdddabdcabbddcadbcbdabddab
+daaaadbaabdcdcdabbc
+cbbbbbbabbccbdcaaacdbcddccbadbdadcadadcbadbccddaabaadcaccaacdcdbdcc
+babcbccbcbbaadbaacdddddacbddabccdacbbccdccdbacbccacccadaccbbcaabaa
+abcddcdaacadddddbccb
+dbacabaddccaacaccbaadcccbcabaaaccadbbdcdaadbacdd
+acbdbdcbabaddcdbdcdbcbaddcabadcdaaaddcdaaacbbabdcacddaddaababcaccdcdadcbadcababbbbcacdaacadaadd
+acbabbbbbbabbdcacddcabaabdcccbcdddaabbcadcaddbcdddbbcaabbbbbabcdbabdcc
+cbdcddcadbddaabdbdadaaabdcdcaaccacdaacadaaadacddbcccdcddbdadccbbdcbcadbcbaacadddbaccddaaccdbacddbaabcdcdacbdc
+cbcbcbdabcbddcdaadaaacbaabcdcbbdbbbcbdddcbccbaddbcbcbdbbcbdcd
+263 217
+adbdbdabcadabcbdaaccbab
+badabdbcddddcabbdaddaacccacababdcaddddcbacbcadadccbcdbadabdbdacccccbdbdcabdabbdcbdbba
+cddaaadabaccdbbcddbdbbbdbdccbaadabab
+dabbcdaacdabcaaaccabbcabdbccbb
+ccdacbcaabccacddbabb
+bdadcacacbdddd
+dacaabbadbdcaccbbabbbdcadacdccdabaadaabdaca
+acbabababbbadcccadcbdaadbdddacdabadabdacdbadaaa
+ccadaabddadbcacaacbbdcdcabbddbccccbaacdad
+bdcddabccadacaaddaddaadddbadcabaacabcaacacacddacabcba
+babdddabbdbacdccdbcddadcabcadcadbcddadddadbcdabdcdaadadcabacaddadabadcba
+ddbcaddbcadbcdcadbcaacbac
+cbcbaacccacddbcaccdaad
+cbabacbdabbcdabccddadbbbdaadbdcdbbcbaacdcdccbcbccadcbadcdcabdbdbd
+dbbdaaabacacdaddcda
+dabccccdaababbccbbababbdb
+babcacaadacbdbaab
+cdbacacdddacdbbcccaadacbcbdcbbdcbbddbaaaadabcbdbdbbdaaccbadbbbacddbcaddacdacacdcbddbdadbbcaaaddbbacbd
+cccadbbbabadccbcbcbdcbaabbdbddccaaadbdabaabbddcbdbaadaadbcdbdaabadcbdababcadcdacdabcb
+dbbbacdadaadccbabcabbbdcabaacbaaabcdbbaaaabacabbbdaddbdac
+ccacddaccdcddaacdbacddbd
+cddbbacdbbcbcccadccdbdcacbacbdcaddbbacbaadcddacb
+bacdbdbaaadadaacdcadabadabbcbcdbdcabdcbbcdcaaadbabadcadbbadcabcbaba
+aaddcbbcbdddabdbbadcdbbdacbcaaaccbbcdbbbdaadcbbcdcbaabcbcabaabddbbdbd
+adcbacbbbbbdddcbcabcdddaddccaddbdcadbbdacbcdbbcadbdcacbddacdabdccdbabcddbd
+cddccabbdadbaaaaddcddacccaadcaaaabccbbbcdaaccccccbdaaaabbcabaccaddbcdddddaccabcbdbbdccbaadb
+aadbddbbddbddbacddddcabdccdaabdbbdcddcbdcabddcddbabaaaaacdcba
+ddccbaaadbbddccacbcbddcddcbbccdbad
+adbccccbccdddcdaddddadddbdadaadddaaddbbcddccbaccacaadbabdbcddcaccbbabcbbbacdcdccdbbbdcacad
+bbbcabddddaddcadaaadacbacabadbaabadcdbcddbabababacbcc
+abaabcabcbaab
+dccccacbdabccaddbabdbdbbabac
+cbadabbdcbaacacbdcbacaddddcccabbabdabbdaaaacabdadbcbbddbdddcbcabbbbcdbbbbadacbcacadcddbabbbcbcd
+abbaabacddbdcbdccccaccbadccdaccdaabddccacbbbdcdbabbcacdccbaaaddddcbdacabdbcbcccccdaabacdabdcdbacabbbdbdaadaa
+bbbcbddcbaadbcbacddabababbacbdcaacbbcac
+adcbdccbababddbbcccb
+bbcbcdaccddabdcacbbcdddbbcacc
+dbbcaccbbadaccdcbdb
+bdcbccbaaaababcddbbdbccdbdaaaaada
+adcabbdadccaaa
+daadddbccdbdabddcbddcbcdaabcaabadbaddcdbdcddbccacaabccdcbaccaddaacbccbaabacdcc
+cccbcbdccdadacdacabacdbabccaccccbbdacdabcaccbabcccbbbacbdbcaddcaadbababb
+dbaaadcaccbdbbdddcddcabdabddbcaccbdadbdbca
+dadcacdddaadccdbcbbddabcadaacadddacdabadcabdcdcaddcabcccbcdcccccccb
+dcaadbdbcbabcdbccbacdbcddddbddbabbdacbadbaaadaacaadccbaabbdcaadadbdaadc
+baadccaaacdacddddabcddabbcbcdcbccbccccddbdaddcaadb
+cadacdcaacdbdcdbcdddbaccdddacaadbdcaadddcddadabdadbaaacdaabdaccdcdcaddbaaaccaac
+cacaaabcbaccbbbccdbddbababaadbcbcabbcacaacaabbdcaaaddcadccccababcdbbbabcabbdddcbacbad
+cbdcdcbcdaaaccaadcabaccbaadbadbbdadabccabcbcbccccabbdcdacaacdabddaacaadcadccaccacadabddddbdbdbadbc
+cbacabdabacdabbdcaaccabccbaabadbcdbc
+ccaaabdabdcbddbcbdaaadbbdadadcdacadcacddcc
+dadadacaabccdcdaadcacbacdcbbdabacbababcaaadcbacccbbbcdaaaddbcaaccbabcdbbd
+dccdbbcccb
+badcdbacacbaaddca
+cccccdddbdcbdbadaccdbdddcb
+ddabcdbcddbaab
+cdcbdddcdabbbacbbdbbdacaddbacdaabaddbdacaa
+dcaccdadadbcbadcbdadccdaaaacddaacabaadbbbcbcadcadadabaaadacdcbdcdbbaacbdacadaccdaaaabdcbdbccabcbbbcbca
+dccacdbabbddccacacbddaaacddddbaccbdddccabbadbaaacbdbbaddacadbccdadabdcbdad
+accdcbbdaaadcdcbadcabbbbbcaacaaddddbbadacabdaadcbccdadbacbcaadacacddbcabdcdc
+bdbbabcccdabdabdbdadcbcddbdbcdbaddcbacabcabbdccddcaadcaddcdbaaabd
+dcdcdcdccbddccabbddcdaddbbcbcaaccabdcbdbacacbbbdbdccbaaabcddcbdaabdcabbcbad
+dcddbdbadccadcbacbccdacddabdcacacadccccbabcccbdaddbccccc
+dadddcccdcddbdbcbdadadbbcdbaacacacabdbadccacaadaabbdacdddcdccacaabccdcdaaadaacddbcddadac
+dbbbbdcadaaa
+cdaadcccdcadbcddbccdddbccbdadaddddabbadbbadbbcbcdcdcbaadbacadcddacacaccadccdabdbddadddbbcdbabbddc
+bbccadbdddbabacdbbabdcdccacccbcbbbddbcdcbcdccacdadbadcdacbcbacddcdb
+abdddcabbabdbbcdbbabcbcdabddcbbbbacadcabaccbcdaaaadcacbabdcbcdcdbadbbdadbdcbdcadbddbbbdcdcbdcaacdcaaacbcabbd
+dbaadbbbddccdbbdaa
+bccbbcbccbcdaaadddddadbbaacbdbdabbdbdcdaadbbbabbaddd
+bdcccbdbcadacdaccaddaadaccaddaccdbbbbcddaabcadbbaaaaaacacddbaabbbabaccbcbdddccacccdcdcbbaababbcba
+aaccdddddabcddbcbccaabbdcbbadcaacdcbadcaddcbbbcbcddcbadcbacbadbbdcdabccaaccacaddacdbcddddcc
+dccaadbbdccacdcbcbdddaaadbacabcdbbdbbddbcbabcdacbbacddacccdd
+abaddcabcabcbaabbacdadadcbbcbdbbaabbaabbdbabaaabcdabddacadcdcdcddccdccbabbdaaadcd
+cdbccdbadaabcaaaacbbccccdabbababdbadcddbdbddccbbaddb
+cdbbdbbcabaabcaaad
+ccabcacdabacbacbacaacbcaabdcabbbaabbbabdbbbaaccdaaddddcabbbdcdcbdabdccbbbbdabcdccacdcca
+babcbbcabbdbdaabcacdabdacdaaababbadbcbbabcccabcacccaaacbdbcaacabccaacdbcccccba
+daadddcdcbbbdddcbabbcabdacbdcccabcababaddccbdcbabaacaa
+dbabbbabddabdbbaaabcbdaacbacdcbbaabadcdaacacdbdacccddcaddcdabbdcdabcadbbcbaaaabdcd
+aabcbaccaddcccdbcbbccdddcccabdcddbdadcdbbcddbddcdadac
+cddccacacdabaadcbbdcabacaacbabdcabadacbdbabacbbbcaddabcc
+abddbbccdcbcbaddbdddabbdaacadabdbbdabadaccadadddcdcbccdbbdadaaaabcabdbccabaac
+cbdabbcdcdbacbbaacdcacacacb
+bbbaddadcabacaccddddabcddbacbbdbbcdcdbabbabaaaaccacdadcadccabbdabdbbdcdbcadbbbadbcadcddcabda
+abddaccaaacbddaaccccbccaabcdbcbbabbadddbdbddadadaabacaaddacdbdacdaddcbdccbd
+dadcaddabadbaccaccbccabadbabbbadccaabddbcbacabbaabddcbdabccbababdcdabdcbbbdcddbdcadaadbadbabacbcddccabadaddac
+ccdabcbccbddbdccaaacaaadccbcdcdcdbbcadabcbacddcbabbc
+cbbacbabccadbbcddccbdbbddaaccdcbbcbaadcdddbacdcbbacdacbaccaddaaadaadbdaaacabddc
+dcbaddaaccdabdaaaabdabbbcdadbbbbaaaadbabcdc
+ccdcacbcdbcbcacbbddd
+babdccddcdbccdcddbabcdaaaababdadaddcbadaaaaccaccacdcadbdddadcddbaacdbdaadad
+cabcbbdcbdbdbabbcddaacdaaabdabbbdcdacdbaddccdcdbcabaddadabcddcddbacddbbacbaaccdabdddbcbaa
+dabcbcbcdaaaddcbcdaabcbabdbcacbbcbcbacbbabcddaccbcdccdcacbadacbccbaaadcdadcccddaaaddcdaddbdadbcbabdac
+daaaddacdacabbbbbbacdaaccabbbddbcccddadcdcdcadbcbdcbadbdcbaacbdbccc
+daaadbbdcabdcababbdccadbcdadddadcbbdddbaaa
+dcbadabcdacbbbdaacdacdbcacdabbbadcacaabcddaccabacaadbddbddbcccccacbabcddbacbdbdbadbaddbadadcddcddbaadcadda
+dacadddabbcbadaacbbbccdaa
+cbdbbaaadaaadaacccdbddaabbdbdcadabbaadbbdbdccabcbbabcddaacaadcddbbadb
+cdcbcbbdcbcca
+cdcdcadcdcaddaaaaabdabcbcdaadadaaadddbbdbdbcbbdbcdbbbdccbbbdcbabddcdcddbddcddaacabaacaddabbabdb
+bbcbdccaaaaadbbcddbabccccaacabdbbbcababdcbdaaccbdadabcbbcbbccddddacdddbacdbcdadcbbcbcddadadcacd
+caaacacbbccddbcccbccdcbcdcdadcddadadabcdaccbbaabbcadbcbaadcacdcb
+babdccaadbcacbddaddbccdcbacbdcbbacbbda
+dbbadadcbbadcaaccbdbcccdaabdbbadcaddbbdcdbbcacabdccbccadabdcdabbbdbdccbdcca
+dbdbbdbcaacdbdbcabaaaaadccdcbaaacddcbadbca
+dbaadddaccadbddbaabbbadcaabdcaacddbdadbdcadcbbaabaddaddcabdcccbddcccd
+baabadbbbcaacabcbbdcabbcdabbaddddddcdbadaccbddabcbbbabacbaacbdacba
+cbdbbdcdaaabaccdbcbacacddaccdddcbccccccdcbadcdccbadcabbddadcacdbabcddddddcdbabcdacbbcadacdaabbbcdcdaaadd
+bbbcbcbbbbaddbdaabadbbcdcbadcbdddaadcacabbadcbcbcabcbdcbabbdcddacdcadacacabbddbbcbbbabddbcdadcc
+cabbbbdbdaddddbd
+aabdcaabaddbbcaaabbcdabcaadcdacdabdcaca
+caababccaabaccdbcdcbdbacbababcbdcbbaa
+ccdabccdbadbabdcbccdcabcbdaddaabddbbcbcabcdbabbbcdbddabdadaadccbdaaadccdadabdcbccbcbaaabcbccaabcdacdbbcbbaa
+abdcaacdcad
+bccbccdaacaabacbdbaa
+cdcdccbabcbdbabadaacadcdcccadbaadcabacacdacbdaddcbcdcbbddbaabcbcaaabdbabbadaddabcdbcbaadcbcccddcbbbc
+dcabadadcaaddbbcbbccdcaabacdaaaadddadcadaddcdaaddbccbdcaaabbbdacbcdacbbbbd
+aaccdbddbcddcddacdbdacbaacaaccdaccbcbbdcdbbbbcaadc
+dbcaaddbbcbccacdadaadcdbbacbdddcbddbdaadadbcadbbcdddbcbaacbaadadbbabaadcbcccccabccbdbcdbc
+bcdadaddadbacdbbacdadabcabdbddcdcdadbdddddadcacacbba
+ccbadbbbaaacdaaacdaaacdcdbbbcddadacadcaaaddabcbbcbbdbabbccccabbaadbcdbcaaddddacadcadcdddddbacdbdba
+bcdacacbabddcaacaaddadabbbacbdaadcdcbcabcddbbcaccbabbddbcadccdcc
+aadaddabbdbaabbccdcccbcdaddcbc
+dbccbccadcbbcdaaabadddcdbacadadcccaddcacaddabaaaddadccbacdbcbcdbcabbbbcbcbaabaaccccdccbacabcaddcccbda
+bacbdcdbbdbacbbbbadcdbdaaacaaadcdcacddbbcbcdcacbbdd
+dcadcdadcbadcccacadb
+dadcbbadabaadbacbacaaccadacacbbaadddbddbcccacdcaaaacacbabbababacabdbbadbbdbdcdabbccbbaaddbabcadadbbacdabbdcb
+adcdddccababaccacddaadccbadacadaccaadbaacbcaccccbdbcccbdddadccaccbbabccdbbccb
+adbbdcaaabbcbcbcdaccbdbacacdbacbdbcacdbcabcdbbcabcacddcdbdacbcbcddccbacdaaaccadcababd
+adbabaccdcabaacacbdddaccdbaacabbdcaadcdacb
+badbbbbbdaaddaaaadadadddcabcacacdcddbaccadbcabbbadbaaabaddccbdbcddcccdadccad
+bcadbbddcaddbadacbaccdaaaacabddcdbaadbbbbccbacbcccbddacbdbbcaccaaccddcddcaccbccdddddddddcbbdddcbd
+cadaadabcdcbdbaccddacbbccacbabdcdcabcccbabcdadaccacddadcccbaacbdbcddaddbaaddb
+badaddbabacaddbaabdabdbbaaccbcacacccbdcdddbcaaabadadadcacdbcabddccdddbdabcbbcbaddaaadabacdbbbaaa
+bbbabadaddcbcbddabaaaaaacccbaaccbaa
+ababdaacacbcaadbcbdadcbcdbbbaacadccdcdadacacaabcbabcabcbccdbcbadaaaadaacbcdaddbcaabacacccdddbcccacdabaabcb
+cbccbcdcdbadddcabaddacbbcd
+dbcdcdcadbcbdbddacaaadadcabbddacdbcdadadaababdbdcbabcbdacdbcbbdcaddcccb
+bbccabdcabaabdddcbacabbbdcbcddabababbdda
+bacdbbbbdbdadccccdaccccccbbcacccaadaadccddbbaccbdbabdcbcabacbbcacadadcdacbaacdbdccbbbcadcdbdddccdacaaacbbdb
+dadacdcbbbcc
+bcadbcbacaddabaabdbdbadacccbaadcbdaddcbbbbacacbcbbcbcadccdadbbccbbcacbcbdcdcabaccdcabaaaaaadacaddccddddabd
+ddaaddcabbbbbddcabdacdaccdddadbabaaacdbdddaccbadcdbdbcbdacbadcdbaacdbbacdccccccbdddbababdbcbbdcabbaacdc
+dacaaaccaaba
+cdacddcccbbcaccadbaddbcb
+cccbddccbaaadacababacbdcbbdcbddcbccabaddb
+aacaaadbdababcaa
+dbaddbbabccadbccb
+bdadbcabaccbbabacddcaadadabdcbdabbbaabbdaaddbabbacda
+bbacbdbbcdbbbcdabdbbbadcacdaddcbabbcbbdbbccdcbdbdbcacdcccabdbdcacaddadc
+dcbcaadbccbabdcccbbcddccbbcdaaaaccbabbdbadbdadacdba
+bdabaacbbcadcccbdbacdccddbbacdddcddbabdbbbaacabbddbdccacdbbcbdabdbabaacdbacacaaccddbabbccddcaccbbdca
+accbdbabddabcbdaacdddbddadaadddaacbcdbbddbdadcdcddbdcdddbbcccacbaaaddcdadaca
+ddddddccabcabcdadadabcacdccbccdaccaaca
+abbbcbadbc
+abacadaacabacabadcaabcacaaaaccbcdbbcdcbddcbcaaca
+adbbdaaaccacdcccdbcbdbabdbaddbcbaaacddddcbcdcddddacdacccbacddabddacdaabdcccdbbbddaccdcbdcabbdcabcadbacddab
+dcbcdccabcadacdcddacdaaaabacddbdcadacca
+cabadbcbdadbdbcccaaacddddcdbddaaddcbbccdcdbadcdabcacbcdcdcbaabbbcbdcddbbbabbacdbaccdd
+babdacdabcdccdcdcdcdccabcaaabdabdcddcacbd
+cbacbcadacbdcbcca
+ddbbcacddcabdbcabcbdabdbbdaadabbdcccaabbbacbcdccbddbbdddaccdadddbccbcaaaabadadaabdabadaaccaddadbdbbcadbdcbbdb
+adbadcdbaacadaaabcdcbcaabcdaabaccbacacacddcabcaddcbacbcacaabbaba
+aaadbdadcbbdbcbdadabdddabdddbddadaadcbadabbaacccdbbdcdbdabddbadbcbdc
+cdacdbcdcdddbcacdddddcdcbdddabdcddbbddaddcaacdcaabacdbcaabbccaccabcadcbbbabcaccbabddbaddbbadcdd
+bcbddaddaabdaadbddbdbadccbaaccddbabdabaadbbb
+acdabdcdaadccbbadbddbcaabdbdcddadbdbdbadbcdadd
+cdacddcdadbcbadaddbbcdcbcaaaaacdbccbdbcdbc
+abbcaddabadcbbdddaaabaccabdaccccbadaaaccadabcdbcbdaadbccbabbbdaadb
+aaabbccccacbdaddcbddaaacacbcdcadbddccaadbcaaaacbaabadbabdbcdcaadaccbacaddbbcadaccbb
+adbaddaababbdaadbadacddcadabcdcacccbbbadcbabcadbcccdddbbbbdccddbbabadabacbcdbdbcccbbcadddcdcaaacdaadd
+addcdaccdcdbdcadbbbd
+dadbbbdadddcdccacaacbbddbdcbaacdcadccbdcccbcaadcadbcdabddcccbaacbda
+aaadbbbcacccccbcaaacccbbacdcdabbdacbdcdccaaddaadcccdbbbbabdcdcaacaaadaaacbcaaacdacaba
+bdabddcbacbcdaddbaaababcdcaabcbdccabddcdadabcadadadbbdbdcdbaabcddccdaadccccbcccdbbbcbbcdddc
+dacdcacdcbdcdadadbdaaacabbaddaddbbacdcaaacccaaaacbcddcbcbddcbabbbcddabb
+aadcaaacacaadcbdacabcabdbbcccaabcbcacbbaddd
+baaddddaddbcdcaadaddcbdaabbbdba
+bcacbcbabddbcabbdacaddccdccaaaddccccdbccbddcccdcdbdacdabbacaaabbadabddbaddaadadaccdddacaabaddbdcc
+abccaabaddaaccdaaaa
+bbdbdcdaccabbdbcccbcddaddadbaddd
+bddabdbbdadcbadcadcdcababcaddccbaddbdadbbbdd
+acccbccbdabbbaacdbcaadbbc
+babbbacbcbdacdacbcaccddcadaadadadbccacababddccbdabcdcbcddadaaadacdcbdb
+cacdbdadccbdaddbddcbcabbbbdcccbbcbbdadadddccbbccab
+bddbcdaaccddaacad
+dccaddbabccadacdcbbcbaccacbdccaabdbcccbbcbaddddbdaabbbaaccaaabcabaaddbcdaabcadbaaabdbadabbdc
+baddbdbbbbaaacbadbccbcbb
+cbbcbdddcddcddccaadaaabbdcaaacaaaababcdbaadbbbabddcdcdcadacaaddbbdb
+abaacadcacdcbaaaadaccabda
+ddcbbacdad
+adacacdadacdabccadaabcadbbacbdaccacdbcacadcbdabbcdbadabccdabdaddbcbbaabacdababbddbcbdaaacbcbdbabdadcb
+bddbdbacdacbbadadaaabddaacdbbaacacadddbcccabbabcaccaaaadbdccdbcddcdbccaa
+bcabacaadcbdddcbdabbdcbcacabccbbcdcadbcabddbabcadccddaca
+cabccbdaadbdabdbcadbcbcaabaaccdbcdaaddcddacdbbadbdbbdacbaccc
+bacccdccdbbbccdbbddbdbddabdacacbabdddaddcdcacdaacdddcbadccbcdbaddbdbccaadbaacbdcdbbdbadacddbb
+ddaaaacbbdacdaabcbaacdbbbdddddcdbccaacdccbcaaccdaaacdbdddacabccbaacbcabdaccbaabdddadcadbdcdad
+cadaacbdcacabcbaddaaaaacccbcdaddaabbdbdcbdacccdcacddbaaacaccaaaab
+cabbabdbcbbaaacdaadddadbcdcccaacbbaaac
+cdddaadbcabddadcddaaaaabadcdcccadbcbadabdcbbacaad
+bcbcdbabbaacdacbcabdbdaacdcbbcbadbaccbbcdacddbdcbdabbadbcbcbccccbbcaccdaacc
+bbcddbbdaddcacbbaacccbbcbdbdbbdcabbdbaccbcaabdddddadadbcbbaddd
+babcaaaaadaadcbccadadadcbdbbdaad
+bbabbcbccabdddcbadacddcadaabdadbdcbdadaddbccddbabbdadadcbbacdbcdcbbccbacddacacdddbaddaddcaccdca
+cadbaabacbacaddbaaadbdddadcdccdcaadddcbadcbdbdabbccbbddbaaccbadbaddbbbcdbad
+cacabcdbcddcccaddddcbbbcdb
+aadbaccdaadcacdaddbaadabdbaadccdcbaaaadbbcd
+ccbbaddbccbbabdccdadcbddbbbb
+baccdabdacdaabcdbbdabbcbabbbddaadcccbadcbaabbcaccbdcacaddbbdbbccaddcdcaccbdbbdbacdbacbc
+cccdddddcdcbaabdbabaccbddaacadcbbdb
+caadacabccaabdaaaddd
+babcbdccadbdadabdbabcddcadbbccaddccaacadcdacbcabaaacaddacddbdcaababbdccdbcbcbacbdbcbddbabbbdbdbbbacdacadb
+dbbbbbcabdccaaddcbdcbaaddabcddcdcbaaacdcbbbddbaaccaadbacdaab
+accbdaaacaadabdaacbddacbddbadbadaacaacbcadbdcababbcdcadbdcadcacacdbbcaacaddcacabbbadbcadcacacccdabb
+abcdcddcabbbbbccdbccccccccccacaacccadcdbdaccdddabcadbdddabaccacbdadabacdddcbdabcdcdbbbabccbadcdccdaaabadbadb
+dbdcbcdbdadbccbdabcdcdabbdbcdbbdcdbccacdcbabbddbbbc
+bcddcdadacbacbdb
+cadaccabadcacca
+aaacdddbabcbaacaabcabacbacbdbaddcbdcdada
+bdbcabdbdbcabaabadcacbdacdccbddbdacbdabadbcbbdccadacdbdbddccbabcdcddcaabbadacbbd
+dadbbbccdbdbadbcaccbccbddbbca
+cddcabcddbbabaccccadaccadcdcbaaadabbdcaddbadccccaccdcdcdcddd
+cdbaabdbdbdaacdccccbacacddcaaababaadabbbaccbcadabcbabcddbbccccddcaacaddbacadbddacacaacddbadbbdacdda
+bccbbdddbcdaacdaddacddcaaabbacdbaaadbd
+dabdddccdbaccdcbcdddcacbacbacacdacb
+ccbccaaadaddbcdbabbddd
+abdddddaadddbbcbbbdcdcdddcbabdcbadcddabcacdddacacdbdadaddddaa
+cbdcdabacbbbccdabddbcabbcbabbddbaacdccdabbcbacbccbbccaaddaccbdabcdcaacdcbdbdbdcbcbccddcabacacc
+adacdadadddcdcddbdaadcbabadacadabccbddbcbbddbbdbbbabdbdbadcacccdbddbbbbdbcaaacdabbaddcccbbadabdb
+acbacabadbaccacadaccbabadbbadcccdabaddcdababbdacaacbccdabccddbbaaabccabadddddaadbbcdccbb
+adadbbcbbddccaadcaddcbcaabbbdbcabcbadbccaccdddacdbdacccadcdcaababbabbbcbcccddaccbbccdddacabdbadbadbcacddcdd
+bbcaaaaaabaddabdabdaaabcbbcdbbdbacccabaadbbbaddbccdcddcaaaaacdddcacccbadbddbabddcccccddabdbdbcaab
+bcabbdcccca
+dcabccdcdbdbcadbddbdcbacacdbabbcccbdbabcddbdbcaaccacaadabcbbbddcdbbbbdddccdabcbbacbdacabaccb
+aabcdadabcbbadbbbbbaccdabadbadaabdbdbcdacdcabcbcaaabadcdcaaabdaacdcdbdabcdacab
+baaadddddacabaacaaacdbbabbacbcbdababccdcadddaddbdbdacadacddcacadcbacdbabdcabdbcacbaddbddaacbaabbaacdabbccdca
+dacbcbacddcadccddbdbcbcdadaddababbcbcaacbabdbacadaaccaabcddbbadabcaccabdcacbbaadaabcb
+ddadacbbaddbaaaaaaacadccdabcddcdbbcbdcabdcacddddbabcacabaddadacacddcdbbaabbbbddbab
+bbbbccdacdabbcaccdbbaabacbcdcbadbccaaddabbdca
+bcbdbcdcadad
+bbdbbbbbbccdcddbccdacdccabbccadbccbddccadcdacccad
+cbdccbbacdac
+bcaabdbbbdabbccbdbaaccabbcbdcadbbcdbccadcccdaccbddddadddcdcdbccdbabbbacdababbddbad
+bdabcccccaadddcdbccdcaddaabaaacacdbadccdc
+bbacccadccadcddcbccaaabddccc
+cbabbdbbbddcaddccb
+bbdcabdaadddcababccaacccaddbabacabdacbbcaacabdcbdcccccbdccdabddba
+ddcbadbaddcadcbbcbaddbcdadcadadabdaacacabc
+babbbdbdbcaaccddcddaaaccbbddbbdcdcadcadcddcaadbbdcaddbbacacabadacdd
+bacbcbdbdccdcabddbbbdbdaaabadaaddcdaabb
+bcdadcabdbdaddacccaabbcddbadbdbdabbbabbccbbbdcdaccddabababaddabbddcbcabadaabdddab
+cabcdbddbdabbaabbbaccbbcdcadcbddbbcdaacbcdbcbbabdcabbcabcddcdaaabcb
+babbbbdbdcbcabaabcdcaacbaccdbcdbabdcbcabcadccdbbaaaadcbcbadbdadddbdbcdaca
+abcadababcacdcabbbdbdbdaddbbaddbcadcccd
+cbcbadddccbbdbbaddcdbcbaddcbaddadcbdbbacbdc
+abbacccbbbdadbdbbbdcacbdbcccbdabacbbaacdcccacaddacddacaddbcdacbdcdbbcbbbcadbdacbccabdac
+dadcbdcabcbaab
+cbaccaaabcccdadbadadbbabdcaadccabbdbddddaaaccccbbadbbdcdadcdadaabdbbccbdcd
+bdadbbcadaaaabbccaddbcabacaccabacadbabbcaabccdbbbdbbdd
+cacaccdccacdcadadcbdaddbdddcbdbccbaacbbbbcacabacbcaddbcbbbdcbacdabdaacbcddcab
+abbcabbdbbdcbbababcacdadacdabdccdbbddbdbbcabadddaadbadbaaaaadbccdcd
+ddbabcbadaacddcbcdbccbbabdbaccaddccddcddcbccadaccabacaabdbdbcaabdbcacdbdcddbcaccbacddcdc
+83 35
+cbbdacbbcacdddaddddcdbdd
+cdcadcdacccacdccdbddcdccdbcbcbcdadaadcabaddbdcdabddcbccd
+abadcbacdabacbddccbacbabcddddabbacbcbacbccdbccccbbdbccdadaaadbaccbabadbdcaadaaabcbaadabd
+dcaaadaddbcdbdcdcaacbcdcdcccdaacdddcbccbb
+cbddbcabadacdabdacbcacddd
+cbaacabdaddbcbbbcaccdabc
+cabbbadcbbbbbacbdaabdcdcdddacccadbbdbcdbbdbbdadbbaacbcbbcaccadbdcda
+bdbdaaacadabaacabaabdacbbacacddcbcbacccababbbbabdcbbaacaabaadabbdccbabbccbbbb
+caacacdbcbcccdabaababaddad
+bbcaacbddcbbabbcadabaaaacbcacdcacdcdbabbddcdbdcbbdcadcbbabccadccbdddb
+baadcacbbaabadcbadadddbbcdacaabdaaddbdabbbaccddddbddba
+badccbcbcccbbaabbadbdddcddaddabccacbacdcbbcaccdbadccacaccbbaccccdababaacbaacabccbcabcccaccbadddbbaccbdadcda
+dbadbcccadadcabbcdcbcbdbcbbaabbaaadadacbaacdaacccbacdcbdbbcbbaaadcaddadcbadbbbdbdadbdbaaacaccdbccccba
+ccdcbbddadabdabaaabcaaccbaccbdbcdbdbcdaabcdaccccabb
+cdbcccdbdccccbaababccaababacaacabdaabddadbc
+dcccabcccb
+ccaddbccdbbaacddacadddbcb
+abdcadabdcddadcdababbaaababdadadaccbccdbcdbbdddabdabcbcbadbbcaacbbcccababbcdaabbdababdddc
+cccdcaacdcdbbcaadabbdcabdbcbdadccbabcdccaccaaccbaddbacdccddaabbbbcddbadabddbdaabcbda
+baaccbddababdbacdabcbaacdddaacadbcadddcbc
+dccbdadccdbdcbcdabbadbdcbacaacbaabbbcaadaccdabbcdcdccddcbdcaccacbbcbabcdacdbddcabbcdbadcbddbaddcdbacacadca
+cbaddaabdbaacdcbbdbdacbcdcaddccbadbcbabaacadbcbcbacddadddaabdbbacdcadbbabbbbddabbddccabaddbbcccbabb
+aacbcdacdadddadddccbacbabdbabaabaddacbbcbcddbcdabddbddcbcaacdddbadccdcdabcdbacdcbddbdbbddbcbacaccaaabbd
+ccadaadddcbabcdbbbdbbacacbadaadccddbaababbc
+cabdabbaaadddccbdccbbcacdbacdabddacccbacbcadaacdbdbadbccacdacbcddb
+cacdbacdbbbaabdcdcdbdbbbccbaabccaadbcdbbcddadcbcadaccbdcdbdbaadddbcdcddcddabcac
+cbadbbcaaacaadccbcadaacbbacadbcd
+dadddccccbaccdccddbdadb
+bdbaaaadabaaccbabcccabdbabdcdcdaddadaacbbbddbcdadacdbcdbdbdcdbdccbbccbb
+abdcbacdbbbbaccccacbbdddaccbbbbcaddbabbbaabcdaccdccdbcdbdbddccacdbacdaaaccdcadcccdacdacdabcaddccdaccbaab
+bdcaccadaaaddccaaadabdadcbcbdbbabbadbdbaaccacbababadcccdcbbaadacabaacdbcbbcbccddddcbbbdbddcbbdcbddacbcd
+abaacadaadacbccdcacbdaaddabccadabbcbdabdcabdcabbdddbccbdacabdcbdbbabcdcbabbbccbc
+bacbdaacdcbbbbcbabdcbbcabdcdaadcdbccdacadacacdbbdbccbccbbbaddadaaabaabdbaadacddddcbadbadddbcbabbccaacdbdba
+ababdaddcdbbcdadddaccdcdbacdcdcbcaddddbcbcbacabdccdadacaaddcaaccccbccb
+ccbcabcaddcdadddcbbbbcbdaaaacabbdbaabcaddacc
+ccabcbcadcdbacdbcacbacbaccdcdadcdacaddacbbbabdcabadacabdbbcdcbc
+dcbdabaadadbdacadccdccdcdad
+adbaaabcabbcaacdcdabaadbabbcbbddacdbdbccddacaddaabbccccdbcdcbbbabbacaacdbcdcbdaaaabccdbcc
+cbcbaaddcccccdcdcbdbcdbbabdaabcadaadcbadccdccdbbaaccbbcbdcabbddcacadbbbbcbad
+bcddabdacdacdccababcccbdbabdabaacdbccadabdaddcbacbacbccaddacacabcdccccbdbcbdcdcabdaddab
+ddaccbcdcccbcccbccdacabdaabccddbcbcbbbccaccdbaaaaaabaabacbabcbaabac
+ccadcaddaabbcbdadadababaabdbabdbacccadcacbbbdaddcacdaabddcdcccaabcadcbcbccdcdaaddbdbaaccdaadccbacbdaddc
+aadcdccccaacadaaabcacbcddbcdbdcabcbbaaddccdaadaccabcbbbbaacdbaaddddaadcbddaabbcbbddbbbadbaadcbadacacccaabba
+caabbcdbabacadbbbdadcbaacccbdaadcddcdbcacbbdaad
+bcbdbdabbaccdddccbcabcaaabbbbcadabaacaadbcdabbdabcbbabccdbdaaabbcaddbdacaaddcbcbcbbbbcacacdcacadacbcddcbaaa
+dadaabdadacbcacdcabbcdbdbaccbacacabbccaacabcbabdbddbcabcbdcdabdabcaadbbcddaababbbadbdcdcdadbbdcaddbdc
+adbbcacadbbcdaccaddbcdabaddccbdccaccbbabbcbbabdccaaabccddacabacaadcbdbdddabcbcbacdcbcdcdbcddbbc
+bbacbdcdddbbbbdaacdbbbaaacdddaaccbdcabbbdbccdadcaab
+abdbbcbdcadcdabdccaaddaadbacbbbbbbaccabbcbaaabbbccdcbb
+adbacbaccccaadbbdcddcbcbdacabcaccbbcccabcabbacbabbcaadaadcbbbaddbdaaacdcbbdba
+aabbcdcbabadadcbbbdadacbbdbda
+cdbbbbabddcaabdcadcbddddbcbcdbbbabdb
+abbaddddddcdbadbbbcddbcdbabcabccbcbdbadbbdccaddcbcbaaabdcdabcdabba
+bbaadbdacdaacabbcdadccdbdccaabc
+cdacadbcadbadbacbbdabccdbbbcaccddabdcbcbcbcadacabd
+abbcbdbbaadaccacabbacabcabacabbbcbccbbdbbdddabcabbdbdcaacacabaac
+bdadacbadddcdcabacccaaadcaabacdbccaaababdbbcdbbaddbbccbbad
+abdbbdbbadddbcbad
+cdacdcbccbbddbccabdccccbbcddcccccbccc
+cdcdcaaacddaccddacabaddbbcd
+caabdcdaacacbdcadabbddcaacdcacbaddabaaaabbdddbcaaabccaccbccbcbccddaccbbacbbadadaccabdccdcacbbbbbabc
+abdcdadbbaacaacdbcacbabaabcacbdccbbabbcccbacbaa
+adcaacbacadbcdbadbadcabacddadadadcbdabbccbdcdbbaddccaabdddccdbadcbadadbabac
+caccbcdbdcccdbbccaabbbcbaaaccadcadcdcbaddabcadadabddccdbdcbabaabadabbdacadbaadacdcddddccadaaadacb
+bdbdbbacddbdbbbbdabaabcdccbbddbadabdbccdbaddad
+caaaaddbcdddddcdcacbbaabccccdbacadbadddacbadcdbdcdabdaddaacbdcbbd
+cdbadaccabcacccbcbbcbdccbbabbcbcdcaacdcdadabdacddcaababcddabaacbdacccaaacbcaaacbbacbcdaacabcbcadddadaacadcdbd
+ccbaaabcdbbccddddccbdadadccccaaadccbddbb
+acdaacdbbabddcbacadabacadbbdcbddbdddcdbdbbabdacccdbbaddcdaddcabaddbadacdcacdc
+cbbacdaabdcddcababd
+babdbbccadcbcaaccdaddbdcaadddadcdadaacabcadbdadabdcbcaaabccdacbacaacbbaabcdaabdabcdccbdaaacbbdcddc
+cdaaddbdbdddcbcacbbaabbdadd
+aabaddacdaacaaadbdcabbcacabbdddcadcccbcaccaabbccbccbccdabdaaddabbdbcbcaddacbddbabbbb
+daddbaabcadcadcbdadbccdcccadabcddaadabccdadaabbdbdbbdaadddcdbb
+cdcccbaaaddadcbcbddbbdaacdbab
+ddbacbdadbbdabaccaccbcbdbcacddcabadcabbdaabcdbaccbddccbdbdbbdbbcdbccda
+accdcdabccabacacddadbdcbadacacacbbbcdabbcabadccccadabdddbbabbcdcbcdcaabdbdaabbdcabbccababddaacbc
+ccccbdcbdbadcadacbdbdccbbcadddacdaaabadbdbbdaaabcaccbdcdbcbccbcadadadbcabddcdcaabbabc
+cddbacacaadaddac
+cadcbcdcdcdcbdaa
+abbdabbbbccaaabbddbaaaccddaccdcbdaddddabbabcbacbbdacdbaadcadbabddbadcad
+baaadadadccadabaacdbcbccaabbbaadbbddbaccbddbbbcccbbbcd
+ddbcacacdddbddbbcbccdbdddbbdcbcdcaacdbbaacaabddaaabccbaac
+247 193
+baaaabaabbbbaaabaababbababbbabbbababaaaabbaaababbbabbbababbaabaaaaabbbbbabababbba
+aaaaaaabaaabbaabaaaaaaaaabaaaabbbabbbbbbabbbaabbabababaabbaaabbaaabbaabbabaababb
+abaaabababaab
+ababbabbaabaaabab
+baabbabbaaabaabbbbbbaabbaaaabbabbabbbaabbaaaaabbba
+baabbbbbababbbabbbabbbbbabaabbaaaaabbaaaaaabbbbbaaabaaaabbbbbabbbaaabbabbabbbbabbbbbabbaaab
+bbbababbbbabaaaaabaabbabaabab
+bababbaaaaba
+bbaaabbabbabaabbaaaaababaababaaaabb
+aabaaaabaaabbbaaababbabaaaaabbbbabaabaabbaaaaaabaaaabaaaabaabababbbbabbbaabbbbbbabab
+bbbbbaabbbbaaaabaababbbbbbbbaababbabaaaabbbbbbbababbabaabaaaababbbbbbaaabbabbaaaaabaabaababbbabaabbbbb
+bbbbaabbaaaabaabaababababbbbbaaaaabababaaabb
+abaabbaabbaaaabababaabaaabbaabaababaaabaababbbababaaaabbbaaababaabaaabbabbbbbabaaaabbbbbbaabbabaaaabaabaabba
+bbbbabbabbbaaabbbaaaaabaaabaabbaaabbabababbaaabbab
+bbaaababbbaaaaabbbbabbbbaababbaa
+aabbabbaababbbaaabbababbaababbaaaabbaabaaaaabba
+baabbabababaabababbabaaaabbabbabbaabbbbbbabaaaaaaaabbbababbabbbbaabbbaaababbabbbaabbaababaa
+baabbababbbbbaaababbaaaabbaaabbabaabaabbabaaab
+bbbabbbbbababbbbabaaaaaabaaabaabbbbbaababaabbaaabababaaaaabbbaabbbabbabaaaabaababaaaaaa
+aaabaabbaabaabbbbabbabaababaaaaaaaaaabaaabbbaaabbabaaaababbabbaababbabbaabbbaaab
+baaababbbbabbbabbaaabbaababaaaaaababbbbbbbaababaaabbaaba
+bbaabbbabaaaabbabbabbbbabaabababaababbbbbaaabbababbbbbbaabababaa
+aabbaaabbbbbbbbbaaaba
+ababaababbbabaabaababbbbaababbbbbab
+bbabbabbabaabaabaabbbabbbbbbbabbbabaaabaaaabbbbbababbabbbbbbaaaabbbbabbbabaaababababbbbbbab
+abaabbbabbbabbaabababbaabaaaaabbaaabbbbbababababbbbbabbaaababbbbaabababbbabababaab
+babbbbbbbababbbaaabaaababbaabaabbbaaabbaaabbab
+aaaabababaaabbaaaaaababaababbbbbbaabaabbbaaaaabaabababbbba
+aaaaaababaabbbabbbbaabaaabaaabbabbbbbabaaabaabbbaaaabbbaabaaaaababbabbbaabbaaaaabbaaababaaaabbbaaa
+babbbaaabbaabbbaaaabbbabaabbaabbaabaaaaababaabaabbbabbaaaabaabbbba
+aaaaabababbaabbaabbbbbabbaaaba
+bbbbbabbbbaabaaaaababaababbbbabbbbbbbabbaaaaabbaaabbbaaaaaabbaabaaaabbabbababbaabbabababababbbbbbbbbbababb
+abbbbaabbababbababaabbaaabaaaabbbab
+aaabbbbbbbaaabbaaabbbaaababbbbbabbbbaaabbaabbbbabbaaabaabaaabaabbabbbbbaabb
+babaabbbabbbbbabbbaaaabbaaabbabbbbabbbbabbabbbabbbbababaabbbabaab
+abbbabaabaaabbaaabaaabbbbaabaababbbbaaaababbaabaa
+bbaaaabaabaaa
+abbabbbbbabbbbbbabbbbaaabaaabb
+bababbbbabbabaabaaaaababbbbaaaaaababaababbabbababaabababbbbbaaba
+abbbbaaaabbaabbbabaabaabbbaaa
+abbaabbababaaabbabbbaabbabaaaaabbaabbabababaaaababbaaaabbaababbbbbabbbabba
+babbbbaababbaaabbabbaabaababaaabaabaababbbabbaabbbbbbbbaabbbababbaaabbaa
+aaaaabaaaaab
+abbabbabbaaaaabaababbaaabaaabaabbbaabbabaaaaaababaabbaababbabbbabaabbbaaabababbabb
+aaaaababbabbbbaabbabaaabaabbbaababababaaaaaaaababbbabbaaabaabbaabbabbaabaaaabbaaaabbbbabbabbbba
+abaabbaaabbbaaaaaaabbabbabbbbbabaaaaaababa
+aaabbbbaaaabaababaaabaabaaabbbaababaaaabbbbaaaaaabaabbbbbabbaabbbbaaaabbababaabbbbaabababbabbbabb
+bbabaaabbbbaaababbaabbbbabbabbabbbbabbbbabaabbababababaaaabbabaabaaaaabbbbabababaaaabaabaabbbba
+aaaababaaaabaaabb
+abaabbbababbbaaaabbabbabbababbbbaaababaabbbabbabbabaaaabbbbabbbbabbbbabbaabaaabaaaabbabaabbaaaaab
+aaababbbbaaabaabababaababbabaaabbba
+baaaabbbbabaabbabababbaabbabbbaabbbaaabbbaabbababbbbaabbbabbabbaaababbabaaaaaaabaaaaabbbaabaaaaabbaabaa
+bbabbabbaabaaaabbaababbabaaaabbbaabababababbabbaaabaaaaabbabaabaaabaaabbbaabbabbbabaaababbbbbbbbbabaaabaabb
+babbbbabaaaaaababb
+bbaaabbbbabababbabaaaaaabbbabbaaaaababbbabbaaababbbbabababaaabbbabab
+abbbababaabbbbabaaababbaaabaaaaaaabbbabbaaabbabab
+aaaaabbbabaabbaaabbbabbbbbbba
+aabababbbabaaabbabbaabaaabbaaaaaaabbaaabbabbabbaabaaabbabbaababaaaabbbabababbbabaaaaaaaaababbba
+babababbaaabababaabbaabbabbabbbabaaabaabababaa
+bababbbbbababbbbabbbababbaabbabbbabaababbaaaaaaaaabaaabbababbaabababbabababababbbbaaabaaaab
+bbbababbbababababaabaabbabababababbbabbabbbbbabababbbbabaabbbbbabbbaaaaababaaba
+abbabaabaabaaabaaaabbbbbaababbabaaabbaab
+abbabbbababaababbabbbabbbaaabbaaabaaabbbaaaaa
+aaaabaaabaababbbaaabaaa
+aabbabbaaabbabbbaaaaababbabaaabbaaaba
+bbbbababaaaaabbaabbaaaabbbbababbbababbabbbaabbbabbbabaabbbababbbbbbabbbaabbababbaaabba
+bbbbaaaaabbbabbabaaabababaaaaabbaaaaabaabba
+babaababbbaaaaabbbbbababbaabbaaaabbbbaab
+bbbabaabbabababaaaabbaabbaababbaaabbbbabaabbbbaabbbbbbabaabbaaaaababbaaaaabbbabbabbabbaabbaaabbbaababaabab
+abbbbbbbbbbbbabaabbbbbbaabbaabbbabaabaaababababaabbbbbaaabababbaabbbabbbaaaabababbbbabbabaab
+aabaaabaabbabaabaaaaaabababbbabaaabbaabaaababbaabababbabbbabbabbbbbbbabbbbbbbaabbaabbbba
+aabbaaabaab
+aaaaaabbbbbbbabaabaaaaabbabbbbbbbbbaabbaaabaabaaaabbabbbabbabaaabaaabbbbaabbbbaaaabaaabaababbbbbbbabbbbbbaaa
+bbaababbaabbbaababbbabbbbbbaaaaababababbbabababbbabbabbaabbabaabababbbbbbababb
+abaababbaaabaaababaaabaabaaaaaabaaabbaabbaabbbaabaaaaabaaabaabbaaabbbbbbbabbbabaaabbbaaababaaabaabbaababbbbb
+bbbbbbaabbaaaaabbbaabbaaaaaaaaaaaabbabbbbbbaabaabbaabbbaababaaaabababbaaaaabbabbabaa
+baaaababbbabbabbaaaaaababbaaabbababbbaaabaaabaababbbabbabbbaaaababbbbbbbbaaabbaa
+bbabaabaababaababbbaaab
+aabbabaaaabaabaababbbbbbabbabbaaabaabbabbaabaabba
+abaababaaaabaaabaabbbaabaababbaabaabbaaaaaababbbaaabbbbbaabbababbaaabbabbbbabaabbbaa
+bbbbbabbbbabbababbababababaaaaabbaabababab
+abbaaaaabbbbabaabbbaababbbbababbaaaaabbaaaaabbbaababaabbbbaabbbabbbabaabbbbbabababbaabbbaabbbaabbbbbbba
+bbbabaabaaabaaababbbbabbaaaabbbbaababbaabbabbbbabbbaa
+abbaaababbbbabbabbbbababbbbbbabbbbbababbabbaabbabbabbaaaaababaabbbbbabbbbaabbbbbaabbb
+aababbabaaabbaababaaaabbbbabaaaababbbbbbaababaaaaabbbbabbaaaaaaaaaaaaaaaaababbaabb
+abbaaaabbbbbaabaaabbb
+baabbbabbbbbababbaababbabbaabbbbbabababbbbabaaaaabbabbaaababbbabbaabaaababbbabbbbbababaabbbababbaaaabab
+abbbbbaaaa
+aaabaababbbbbaaaabaababbbabbbbbbbbaaabbbbbabbbbabaaaabbbbabaabaabaababbabbbaaaaba
+baaabbabbbb
+abbbbbabaaaabbbbababaaaabaababbbababbbbbaababaabbabbabbbaabababaabaaaabbbbabbb
+aabbabbbaabbababbaaabaaababbbaabaabbabbaab
+aaabaaabaabbabbbabababbaaaaabaaaabaabaaabbbaaabbbaababababaabaabbaabaabbbb
+aababaaaaaababaabaabababaabbbbbababbababaabbaaabbbbbbbabbaaaaaba
+baabbbabaababbbaabbbbbbababaaaaabbbbbbbbababaaabb
+babbaababbbbbabaabbbbbaaba
+bbabbaaaabbbabbaabbaabbabaababbbabbbbababaaabaababbba
+abaaaababaaaaabbabbaaabbbbabaaaababbaaa
+abbabaabbaaababbaabaabaaaababaabaabababbbbb
+aabbaaababbbababbabbbaaabaaabab
+aaaabbbbbbabbbabaaabbbbabaaabbababababaababaaabbababaabbaababaaaaababbbabababaabbbababbabbabaaaba
+bbaabbbbbbbaa
+aaaabbabababaababaaaaaaabaaaabbbababbbaabaaaabbaababbabb
+ababaabbaaaabba
+abbabbbbbaabbbbbabbbbabaabbbaabbbabbbbabaababbbaaababbbbaaabbbbabaabababbbaaabaaabbabaaabbaabb
+baaabaabbbbbabaabaababbaababaaabbbbaaababbbababbbbaaabbbaabaaaababaababaababbaaabbbbabaaabbaaaababbbabaaaaa
+abaaaabbaaabbbbabbabababbabbbbabbaaaaaaaababbbbbbabaaababbbabbbaaaaaaabbbbbabaaababbbabbabbaabbbbbaabaabb
+bbabbbbaabaabaaaaabbabbbaabbbabbbaabbbabaababaaabbaaabbabbbaabbabbabababbaaabaabbaaababaab
+aabaaaabbabaaaabaaabaaba
+aaabaaaaabbbbaaaabaabaabababbaabbbabababaaababaaababbaabbaababbbabaabaaaaabaabbbbbbaabaaabbbabbabaaaabaa
+babaaabbabbbbbaabababaaaaaaaababbabaaaabaaabaabbbbaabaaaababbabababbbbbaabbbabbaabaaabbab
+bbbababaaababbabaababbbbababaaaababbbaaaa
+baaaabbabbaaaabaababbbbbbaaabbabaaabbbbaabbabbbbbabaaaaaabbbaabaaaaabbabbabaab
+aabbaaabbabbbbaaaabbababbbabaababbabaaabbabbbbbbbbbbaaaabbaaaabbaaabaaaabaaaaababbabbbaababb
+babbabaabbaababbbabaabbbbbaabbbababbabaaabaabbabaaaabbbababbabbbbbbabaabbbaabbbabb
+bbbbabaabbbababababaaabababb
+baabbbabbaabbaababbbbbaaaaaaabbbbaaaaababbbbbbbaabaaaabbaabbbabbbbbbbbbaaaabbbaabba
+bbbaabbabaaabbaaaabaabaaaabbbabbaabaabaaaabbaabbaababbaabbbbabbbaaaaababaaaababbbbbabbababbbbaaabaab
+bbaaabbaababbbbabbababbbbbabbbabaaaaabbbababbabababaababbababbaaaabababbababbbabbbbbbbba
+bbabbbbbabbba
+aabaabbabbbbbbbbaaababaabbbaabbbaaababbabbbbabbaaabababba
+aaaaabbbbaabbbabbaabaabbbbaa
+aaaabaaabaabaaabbbbbbaababbaaaab
+aaabbbababaabababbabbbbabbbbabaabbbbaaaabaabaabbbbabbaaababaaabbbabbbbababbbaaaaaaab
+abaabbaabbbaaaabbbaaabbbababaabbbaaababbabbababbaabbbbbbabbabbbabbbaabaabbaaabbbbaaaabbbabaabaabbaaabaabbaa
+aabbabaaaababba
+baaabbbabbbabbbababbbbbaaaabbbbabbbbabbabaabaaabaaabaaaabaaaaaaaabababbabaabbbbbbabaabaabaaaabbabbbaabab
+bababababbbbabaabaababbbabbbbbabbbbaabbaabaaabbabaabababbabbaabbaaaabbba
+bbababaabaabbbbbaabbaaaabbbaaaabbbbaaababbbaabbabbbaaa
+babbbaababbbabaabababbababbabaaa
+abaabaaaabbaaabbabbbabbaaaaabbaaabbbbbbaabbaabaabbba
+ababaabababaabbbabbbbabaabbabaaabaaaaabaaaaabaababaababbabaababbaaabbbbbbbaabbabbaaba
+abbabbaaaaaaab
+aabbbabaabbbbbbbbbbaaababababbabbbabbabaa
+babaaaaaaabbbbbbbbbbaabaaaaabbbaaaabaabaabbbabbab
+abaabbaaaa
+aabbbabbbaaababbaabaababbaabaaaa
+bbaaabbaaaabbaaabbbbbabbbabbabbbbabaaaaabaabbabaaabbbbbabababbaabaaababaaaaabaabbbabababbabaabaabbabaabb
+bbbbbbbbbaaaaabbbabbbbbaabababbaaababa
+abbbabbbbaabbbabbbbbabaabbaaaaaabaabaaabaaaabbabbbabbabbbbbaababababbabaa
+aaabababbbabaabbaabaaaaaabb
+bbaaabbbbbabababaaababaaabbbbbbbbaaaaaaabbbbabaaabbaabbabaaaaaaaabaaaabbbbbbbbaaaaabbbaabbaaaababbbbbabbbbbb
+aaaaaabbbbbbabbababaaaabaababbbabbbbabbbbabbaaaabaaababaabbbaaababbababaababbbabaa
+aababbabbbaaabaaaaaaaaaabba
+babaabbaaaaaabababbaabbaabbbbbbbaaaaabaa
+aabaaaaababbbaaaaaaaaabaababbbbabbaabbabaababbaaabababbaaaaabbbbabaababbbababaabbabbbabbaabaababab
+bbaabbaaabaaaaabbbabbaaabbaaabbbbaaabbabaaaabaaabbabbabbbbaabbbbabaaaabbbbaababbbaaabbabbaaaaaaaaababaa
+baaababababbbababbbaabbaaab
+babbbbabaaaaaabbaaaaaaaaaaaabbaaababbbbbabaabbabbbaaaaaaaabaabaaaab
+abbaaabbabababbabbabaaaabbbababaabababbabaaabbbaaaaababbabbabbaaaaaaaabba
+bbbbabaababaaababbbbabbabbabbaabbbaaaaaababbbbbbaabaababbababb
+babababaababbb
+bbbbbabaabbaabaaaaabbabbaabbbbbaabbbbbaabababbabbabbabababbabaabbaabaaab
+babbbaaabaaaaaabaabaabbbbaabbabaabbbababbabbbbaabaaaaabbababbbbababbabbbbbabaabbaaaaaabababbabb
+aababbabaabaabba
+abaabbaabaaabbabbbaaabbababaabababbababbaaabbaaaabbabaaaabbabaabbaabaabbbbab
+babaaaaaaabbababaabbaa
+bbababababbbbaaabbabaaabaaabbbaabbbbaabaabbbbbbbbbbbabbbbaaabbaabbbbbbbaaabbbaaaabab
+abababaababbbabbbbbbabbaaaaababaaabaaabbbbaabaaaabbbbbbbbaabbaaabaaaaaabbaa
+aabbaaabbaaabbabbbaaaabaabaabbaaaabbbbabbaaabbabbabaaabaabbbabbbabaaaabbbaaabbbbbbaab
+bbaaaaabbbbbbaaabbaababbbabaababbabaaabbabababbababbbabbabbaabbbbababaaaababbabbabbb
+bbabbbabbaaaa
+abbabaaaab
+aabaaaaabbbaaabbbaaabbaaabbbbabbbbbababbbabbaaaabababbabaab
+babaaaabaabaaabaababbbbabbba
+abaaabaababbbabaabb
+aabbaabbbbbbbba
+bbaaaaaaaabbabaaabbbaaaaaabaabbbaaababbbbbbaaabaaaaba
+aabaaababaabbaaababbbabbbabbaabbbabbaaaaabbabbaaabbbbabaaaababbababababababbaabaabaabbaaaaaabaabababababaabb
+abbbaaabbbabbbaababbbbbbbabababbabaaabababbabbbabbbaababbaaaabbaababaabbaaa
+aaabbaaabbaaaaaaabaaabaaabaabbabaabbaab
+abbbabbaaababbabbabaaabbaaaaababbbbabbbabbbbabaabbabbabbabbbaababbaabbabbbaaaabbababaabbabaaaabbbb
+aabbbbabaaabbaabaabaaabaabbaaababbbbbbbbabaabaaaaababbabaaabaaabababaaaabbabaabaababbabaaaabbbabaababbabba
+baababbbabbbaaababababaabbbbbabaabaabbbaababbaaababaaaaaaabbaaaaaaaaaabaabaabbbbbba
+babbbabbbbaaabbaaaabbabbabbabbaabbaaabaabbaaaaabbaaaaabbbabaa
+bbbbabbaabbaababaaaababbababbba
+bbabbaabbbaaaabaababbbbbabababbbbbbabaabbbaaaababaabaaaabaaabbbabaaababaababbbbabbbaaababb
+abbaaabbbaaaaaabbabbabbaabbabbbabbaabb
+bbbbbabbbbbbabaababbabbba
+ababaaaaababababbbababaaaababaaabbbbaaaabbbabbbbbabababaaaababbbabbabbaaabaaaaaaabaabaa
+aabbbbabbbbbaabbabbababbbaaaabbbabaabaabaaaaa
+aabaabbbbbabbaababbabbababbbabaaaababababaaba
+abbbbbbbbbbbaabaabb
+abbbbbaaaababbbbabbabbbaabbbabbaabbababbbabbabbabababbbaabbbbaababbbaabbbbabbababbaabbaaababaa
+aabbbaabaabbabaabbaabababaabbbaaabbbabababaaabbab
+abbababaaaabbaaaabababbbabaabbbaababbbbbaabbbabaaabbabaabbbbbaabaabbababaaabbbaabbbbaaabaabaababaabbaababa
+bbabbaababbabbabababbabababbbababaaaaaa
+abaabbaaaaabaaaababaaaaaabbbababababbbbaabbbbababbaabbababaaaaaabbbbbbabbbaab
+bbbababbaaaaaaaabbbbabbbabababbaaaaabaaabaababaaaaabaabbbaaaabaabbbababababbbaabbbbbaa
+baaabbbbbabbbabaaabbbababaabbababaaaabbbabbabbbbabbbabbabbbababbababaabbbabaabaaaabbbbbaabba
+aabababbbbaabbaabbbaaabbabababbbabaaaaaabbaaaabbabbbbaababaaaabbbaab
+bbaababababbbbababbaaa
+abbbbbaabbbaabababaabaaaaaabbabbbaabbbbabbbabbaaabbabaababbaaabaaabababababaaaabbbaaabaa
+aaabaabbbaabababbaababaabbbbbababaababababbaabbbaaabbaaabb
+baabaabbbbbbbbbbbbbaabbaabbaaabbbbaaabaabaabbaaaaabaaabbbbabaaaabbaabaaabaabbabaababb
+babbaabbbaaaabaaaabaabbbbbabbbabbbabaaabbaababaabaabbababbbaaabbbabbbbbaabaabababaaaabbabaaabaab
+bababbabbaababbabababaaaabbaaabbaaabbababaabbabbabbaabbababababaaababaaaaabbaaabaabababbbaaabba
+aaabbabbbababbbbbbbbbbaaaabbaabbaaababaababaaaaaaaaaaaabbabbbbbab
+bbbbababbaaaaabbababaabbabaabaaababbbabaaabbabb
+aabaabaabaababbaabbaaaabaabaaaaaaaaaabaabbababbaabbababbbababbabaaaaabbbababbbbbbbbaabbb
+babbaaabbaaabbbaabbbbaaabaab
+aaaabababbbababaababbbbaabaaabaaa
+abbaaaaabbaababbbbbabbabbbbbbbaaabaaabbbaaabbbababbaaaaaabbbbabababababaaabaaabaaaaaabbabba
+aabbbaabbbaabbbababbbaabbbbbaaababaaababa
+baaabaabaa
+baaabbabbbaababaaabbbbbaabaaaaababaabbbabbababaaaaaaaabbbbbbababababbaabaaaaaabbbbbabbbaabbbba
+aabbabbabaababaababa
+babbaaaabbaabaabababbbbabbbbbaaaabbbabbaaaaa
+bbbabaaabbaabbabbbbaaaaabaaababbabbbbbabbbababbaabbbababbbaaabaaaaaaabbaabbbabbbbbbababbbbbaaaabbabbababbba
+bbbbbbaabababbbbabbbaaba
+bbaabbaabbbbbbababbabaabaaaaabbaaaabababababaababbbaabaa
+aabbabaabaabbaaabbaaabbababaabaabbabbbaabaaabbaaabaabbbabbabbbbaababbbaaaaaabababaabababaaaabbbababbababaaa
+babbbaaaaaaaababbaaabbbabbaabaabaabaabaaabbbaaabbabaabbbbbbbbabbaaabababab
+bbbbabaabbbaaabbbbabaaaabbabaaabaabaabaaaaaaabaabababbbabbaabaabbaababbabaababbaabbaaaabbabaaab
+baabbabbabbbbaabaaabaa
+ababbbabbaabbaabbaaabaabbbaaabbaaaaabbbabbbb
+babbaaaabbaaaaaabbaaaaabaaaaabbbbbbabbbbaaabbabbbaaabab
+abbbabbbaaaaababbbabb
+bbaabbabaabbbbabbaaaababbaabaabababbabbababababbaaababbaabbaabbababbabaababbbbabbbbaaabaaabababbababbba
+aaaabaaaabaabbabbbbaaabaabbbbbaababbbbaababbaaaabaaabbbaabababbbababbbbaaaabbbabbababaa
+aababbbbbaabbababababbaaaabaabbabaabaabbbbbbaabbbabbbbabaabbababaaabaaabaaaababaaabaabaaabbbbbbbbaabbb
+bbbaaabaababbaaaababbaaaabbaabbaaaaababaaababbaaaabbaaaaaabbbaaabbabbabaaabbaabaaabbbbbabababbbbbaabaaaabbba
+bbbbbbbabaaabb
+bababaababaaabbababbabbbabbaaabbbaaabbabaabaaaaaabbababbbbbbabbababbaabbbbababbbabbababaabbbbbababaa
+baabbbbbabbbaaababaabbbbababbabaabaabaaabbababbbabbbbabbbbaaababbbaabbaaabaaaaabbbabaabaaaababbaaaabbaa
+aaabbaabaaabbaabbaaababbababaaaaabbbabbabbbbbbabaaaababbaaaabaaaabaaaababaabbbaababaaaabaabaabbbaaabbaaaba
+babbabbbbbbbbabbbabbababaaaabbbaabaabababbaabaaaaaaabbbaaaababbaa
+aaabbaaaabbbbbaaaaabbbaaaaabaaaababbbbababaababbaabbbaabbababbabbbbbbabababababbbbbaa
+abbabbbbaabbabaaaabbaaabbaabb
+abbbbababbbabbbbabbbbabbbabbbbbabbabaaabbbbbbaabbbaaaaabbbabbaaabbbabbbbaababbbbabbbabbabaab
+abbaabbaabaaabbbbbbaababaaabbbaaabaabbbbabbbbbbababababbaaaabbaabaaabaaaabaa
+aaabaaababbbbababaaaaaaaaaaabaaabbaababbbababbbbbaababaabbaaba
+babbaaaabbbbaabbbbaabaaabbbbaaaabbbbaaabbbbabbabaaaabaabbaabababbbaaaaabbbbbaababbaabaa
+abbaaaaaabaaabbbabbbbabaabababaabbabbabababbaabaaaababbbabbbbabaaabaabbbbabaaaaabbbbbbbaabaaabbabababbaaaaaa
+baabbaaababbbaaabaababb
+aaaaabaaabaabbabbaabbbababaababaabbaaabaabbababbbaaaababaaabbbbabbabbbbbbbbbababbbabbababaababaabbabbbbb
+babbabaaaaababbbaaaaababbaaabbaabb
+bbbbaaababaabbaabbbbbaaababaabbabaaabba
+bbbaababababbbbbabbbbbabbbbabab
+bbaaaaabbaaaaabaaaabbb
+aabbabbababaaabbbabababaaabbaaababbabaababaabbaaaabbbababbbbbaabbbaabbababaabaa
+aaaabbbaaabaabbaaaabbaabbababbbaaabbabbaaabaaabbaabbbabaaaabaaabaabaaaaaabbaabaabbbaaababaaabbaaaaabbbab
+bbaabbaaababbbaaaabaababbaabbabbbbbbaabbbaabaaaaabbaaa
+bbaaaabbbbbbaaaabaabbbabaaaabbbabaabbaabbaaaaaaabaaa
+abaaaabbbabbaabbaaaababaababababbabaaabbaaaaabababbabaababbaabbbaabbabaabbbbaabbaababaabbba
+bababbbbaaaaaa
+bbbbbababbababaabaababaaaaaabbbbaabbabbbabababaaa
+99 35
+ccabababccc
+bacacaccbbaacaabbaabaccbccbca
+bbaaacacaccacccbbccbcbaacacacccabcbcbbbbbacaa
+ccbcbccbbaaccccccaabbaaabcaaccaccaccaaacacbbaacbabcacacbbababbaabbcbbbcbcbccccacbccaababcbbccbabcbaaabb
+cccbbbcacabcabcbbcbcbabcbbb
+babcccbacbaaaacbaccbaacccaaacbcccaababbbbcabccbbacbaaaaacccabbccabccbcaacbbbcbacbcbcbcbbcb
+baacccccbbcaabaccaaacaccbcabb
+cacbccaaccbcbabcbaacaaacbabbabacabcabcbabbccccbbcbccbcaabacaabcacabbccbcabbbbcccccbbcacaacbcabbccbbbca
+cbcacabccaaabccbabacbbacccabaaaccabaccbbacaababacab
+ababbccabccacccbaaccaabbcbbcabcbaccbbc
+acbbabbaabbaabcccbbcacbcccacbbcacb
+abbacababbccacbabcbbbbbabbbcabbbbbbabaaccaaabcaabaccabbabbbbabacbb
+ccacbcbaccaabbcbcbbaaacbabaccaabbbcccaacbaacaacccbaabbccbaccabbcaccaaaabacccacacaaccabbcbcbcaabbacaccba
+bbacabaababaaabccbcacabbbbacabaccabcabacabacbabcbacbacbcaacbcbbccabcaacabaabaacaabbaabbaabcbbabacab
+cacbbcacbbccbcbcccbbbbaacbacccbbbabbbabcccabacaccbccccacccbaaababcbacaabcaccabaabacbccccbacaccacacabcc
+abaaaccaaccabbaacccccccbaab
+abcbccbbababbabbcababcbccbcbccbbccacbabbbbaccccabacaabbbbcbacbbbcbcacccbabbacbcbaababbbbbaccbaaacacaacbbac
+cccbcbbacbacacaacbcbbaccbcabaaaaabcabbbaacbbcbcacacabbaaccabbaa
+bbcacabcaabbcbccabcaaabc
+abccaabbaacabcbabcccaabbaacabcbbbacaccccbacbcbaabacbccabcbcccbb
+bbaacccbcccbccccabaaabbabaacbcaaaacbbcbbbbcbac
+aababbccbbcaabbaacbcaccaaacbbbcbacaaacccbaaabbbcaabcabbbab
+aabbabcbcabbacacabccabbac
+abaacbbcabccbaaaccbabacbcabcba
+baaacbbaabbbaacccbbabaabccbaabccaccbbccaccbaabbcaabaabcbcacbbbcabcaacbabcabaabcabababccbacabbabab
+babcbcbbbacacccbcacbc
+bcbcbcbcbabaacbcacccabbbcaacabcbbcacabababccbbbacaacabbcbaabb
+ccbacaababbcccbbaaccbbbbcbabaccaccbccacababaccabcaaabccbaaabcacacabbbbbbabbaa
+bbbcccbcccabcbabbcabbabbabacaaacabacccabababaabbbaabbcaabcbccbbaacbcbccbcbbcacaccaaaabcbbbbacacbbacbcc
+bccbaaaccbcacacb
+baaabbacbbbaacabaabcbabccbcaaabcabcbccbbcabaacabcacbbbccabbcccc
+accacaacabcacababaac
+bbbaabbcccaaacabaabccabccbbbacaccaaccc
+baacbcbbbaaccbaacbbbacacbcbbbbaacabbaaccbacaacccaccaabbbccabaababcaaabbc
+aaabcaabcbaacacabaaaccbcbaccabcbbacbcccabbccbbabccbbacaacbcbbbbbbbcacaaccacaaacabbccbaccaaabcbbaacbcbbcccbb
+bcbcbcacbbaccbbcacacaccbbcccabccbababbabcbcbbaaccaccacbbcaacccbacbcbbabcbccbcacbccabbcc
+aabacabccbcacbaacbbbccacabacbaaa
+babbbaccbabacbcaccaaaaabbbbcacacacbccabcbbabbabbcbacbcabcbcbbccc
+aacacaabaacacbabcbcbbacabaacaccbcacbcbabbbccabcbaacccbbcbbabbabaaccbabbbabcccbcaccbcaabacc
+bcaaccbcbcbcbccabccbbaabbabacbacaaacacabacbbcaacabbaaccbcaabcbaccbbccaacbccabbb
+cbbbabacbbcbbcbbcaacabccaccabcccaacbcbcacbcbacccabbccbcacaaccabaaaaaccbbbcaababaabcaccaabacaacaaaa
+babbccbacbacbaacaccbcaccaaccbbabcbccaaacccbbacabc
+ccbacacaabbbaaaabccbbaaba
+bbcbcaacaabccbabccccbcbbaccaacbacabbbab
+ababcaabbbbaaccaabacbcbacccbbbb
+baabbacbcabbbcbaaaccabaccbbcacbbacbcccacbbaaccbcaaabaaaabbacbbcbccbcbbacabbacacbaaacaacacbbacbbabaacbcaacbb
+bacaaaaccccbccccbaaacbaab
+bbacccabbcbaacbcaaacacabaaaccaabcccaaabbcbcacbaabacbccabbcaaacbacbacbbcacbc
+bccbbcbacaabacacbacbbbcaaccccbacbcaa
+baccacabcccccabacaabccbaaabcbabccaaccccab
+abbcacaaabbbbbbbaccaccbacbcbcaacaccbacbaaacccbccacbbbaacbbbcaaccaacbcbbbcabbcaacacaaaaabbccbccabaa
+aaaacaccacbb
+bccbabbcaacbccbcbbcabaabcbbbbbbaacccacbabbccbccccabaaacbcbcacabcaabacccacbbccaacbbcabbbcbccaacacbbac
+cbbccbbbbbabccbb
+abaabccbbaabcbaababaacab
+ccccccabcabaababbcacbcbcaacabcbaacaaaabcaaccccbbaacbcaaacbcabcbabacabcbcacabcacccaaa
+baacacbcaabbbcabbbbcaaabcccccabbcabbbbabbccbacababbaaccacaabbccbbbaacaccbbbcaccbbcbbcaababaacabbaabaca
+acbbbaaaababbaabaacabbabbccbcbcbaabacccaccabacbacaabaababccabcbbacbccacbabab
+cabcabababacbaccbaabbaaabbaaaabcbacabbabbacbcccabbbcccbcbabcabbccacb
+abcbbaaabcccabbbbcbaabbaccabaaabbabbcaacbbbaacbcbaabcbbccbbabccbcab
+abcabbcabbbbcaccbabaaaaaacbbbcaaccbaabaaabcbbbababbacabccccbaaacbacbabbbccccbacabaccacbcbabbaacaabbccbc
+caababbbcaaacbbccacbbaacaabbcbaabcbababaaacaabcbbaccccbcbccccbbabccacaaacbaaaacbaababcaabbabcc
+abacbcbbbabcaccbabbcacbcaa
+aaccaacababcabbcbacabbcbabbaabcbcbabcbcaababbacbcbccaccacca
+bbccbcbcaaabcbcbcbabcabbacccacbccababaabacacabcaaabaaabacbb
+abcabacabbcbbccacccbaccbcccabcaccbbbaccaaababcaacbaacccbbccbabacbccababccacacabcbaba
+aacaabbbbbabcbaaaccbbacaabbacccbcbcbbcbccabccbbbaaabbabacaccbbcbaabacabbccbbabacaabaac
+acbbabacbacccb
+abbccbbabaacbacccabbaababbbbaaacbbcacabcbacacbcabbbbbc
+bbcbabbacaaab
+aaccaacacbcbbcccbcabbcbaacbaccaacbaacbcbcbbbaaccaaccabccb
+acabbcbabbcccaaabaabbabcbcaaacaabccabcccbbbccbccaac
+cbcbbcaccaccbabbcabcacbaaaacabbacbcaacabcbacbacacbcababbcbccbbbccbacabacbcccccbab
+baacabbcacbacbabcaabba
+aabccbbaabcbbabaacacbaccaaccaacacacccabacbccbccbbabbbbcbaabbbbaabaaabcbcbbbaaaccbbacabbaabbcacbbbcaa
+cbcaaaacbabcabcbacaccaaabbacbaccccbaaaaccaac
+acccacaabbaaaabaacbbbabacbbcbcbbcbcbbccabcaacbcbabbbbcaaabccccbabaaabbbaaaaabbcaacaacacbacbaaacbbcbbbcbcaacb
+acccbabbbababcaababcccbacbbabcbcabccabcbbabaccbaabcbaaaccbcbccbcaaabcaaaacbcbaba
+bbbccaccabbb
+abbbbcbbbbaacccabbbaaaacbcabaacabaaabbbcabacbcbaccccbcbbaccbacbabbbcacaababccaccbabcabbccbab
+ababcaaaacc
+abbaacbacbcccbacccbcbcacbcccaabacbccabacbaaaaacccbaabbbcbaaabccacabccbccbbcbabbcabc
+aaccbccaaacbcaaababcbbabbbbaccaaaccbcbcbbbaaccacaabbccaabcacaaaacaabaccbacbcccbbcabaacbcbb
+cbbcaabbcacacabccbcbb
+bbbaabccabbbabcaaacabcbacaabbcbbccbcbcbbbbcccbabbbaccabbacaccbccaabbccacbaacacabaabaaaacbcaccabbbaabbcbbabb
+abbbbaccabccabcbabccbccccbcbcbacbcccaabb
+bbacbaabaabababababccacaabcbaaabbcccaabccbcacababacaaaacabb
+cacccaabbccabcbcbacccbaabcaabaacbaaabcaaacbbabccabaabbcbbbcaaccabcccbcbbbacc
+bacbaccabcccbbbccabaccccbbabacacaacaccccaacccacbcbcacaabcbbbcbcbaaacccabbccabaccccbbbbcaaabacacaaabbba
+cbbaacbababccccbacbcabaccbacbabbbccbcaacccbcbccbabcabbbcaaacbcccccbacbbacaaaaaacbcaaababbbacca
+caacacbccbacabbbbababcbbcbbacaaaabacaabbccaacacabbaaacbabbbbbcabcbaacabccbbbcbaccbcabccaccabacccbacacac
+cbabcbbbababbabaabcacccacccbabacaacbbabbcbacaccaccbaaacbbacbbbcbbcbbaabaabcaaccbccaacca
+ccacaccaacbcbabaccbabacbabbbbcaabcaabbaccccacaababaccbcaacababcc
+ccabaacabccacccabccbbccbcccbabcbaacaacbbbacbcaabbabccaccacbbbaccccbaacbcab
+acaabcacaabcbacaaabbcbabaacbacccaccbccccbaabbcaabaaacbcbaabcacababbacbaab
+bbabcabbccabbcaccabccbcacabcaacbbabaacbaaccbaccbccbcaacb
+abaccacbccaacbcaacabcbbccacbbbacaaaaacaccbabacbb
+baaaacbbccacbababccacaaaaccabbbaacbc
+baaccaabcccabcbcaabbbccc
+92 38
+abbaaabbabbbabbbabbbb
+babbbbabbababbbaaabaabbbbbbbbaababbabbbaaaaaaaaaabaababaa
+baaabbbbbaaabbbaababbabaaaabbbbbaaaaabaabaaaabbbabaaaba
+aaabbbaaaaaabbabbaa
+aaababbabbaabaaaaabbbaabaaaabbabbbaaabaabbaaabaaaaabaababbbbababbabbbabababbabaabaaaabbabaababb
+abbabbbbbbaaaabbbbaaaabaaaabbbababbabbaaaaabaaabbaaababbaba
+baaaabbbbaaaababbaababbbaabbaabbaabbaaaaa
+bbaabaababbbbbbaabbbabbaaaaababbb
+abbbabaaabbbaaaaaaaaaaabaaabaaaaaaabbbbbabaabb
+bbbbbabaabaaaabbabbbbaabbaaba
+abaababbaabbaaabbabbabaaaaaaabababbaabbaabaaabaaaa
+abaabaaaababaaabaaaabbbbbbaabbaabbbbbbbbbbaaabbabbbabbbaaaabaaababbbabbbaabaaaabaababbbabbbbbbbaaabbbbabba
+abbbabbbabaababbbabbabbbbbabbabbababaababbabbaaaabbbaabbbb
+ababbbabbbaaababbbaabbabbabaaaabbaabaaaababaabbaaababaabbbbaabaaaab
+aaabbbabbbbbbbbbabaaaaabbbabbabaabbabaaaaabbbabababbaaaaaabbbaabaaabbaabaaabbbbbabbbabbabaabbbbbabaab
+ababbaababababbbaaaaabbbbaabbaabbabaaababbbbbaabaaaaaabbababababaaaaabbababbabbbbbaaaaabbbaaabb
+bbbbbabbabbbabababbaabbbbaabbbbaabaabaaaabababaabaabaabaababbbbbbbabaaabbaabbbaaaababbbabbbabbaabaaab
+baaabbaabaababbbbbabbbaaabaabbbbbaabbbbbaababaaabbabaababaababbbabaabaabbaaabbbbaaabbabababaabaababaab
+bbabaaabaaabaabbaabaababbaabaaaabbbb
+abaabababbbabbbaaabaabaaaaaaabaabaabaaaaabaaabbabbbbabaabaaabbbabaabababbabbabbbbbbbbaaabbbababaaaab
+babbbaaabababbaaabaababaaaaaabaabbbabbaabbaabaabbaabbabababbaaaaaaabbbabaaabbbbaabbaababbbbabababaaaabaabbba
+babaaabbbababbaababaaabaaabaaaabbbabbabbbbabababaababbbbbbaaaaabbbabbbabbbaaabaaabbaa
+abbababbbbbbaaabababbababbbaabbaa
+aaababbbaababaabaabbbaabaabababbbbabababab
+bbabbbaabbabbaabbbbaaaabababbbbbaabaabababbababbabaabaabaabbaabbbbbbbbbabbaaaabb
+bbaaaaabaabbbbabbabaabaabaaaaababbabaabaaaabaaaaaaabaabababaabbababbbaaa
+aaaabaaaabaabaabbabbaabbabbbabbaababaa
+aababbabbbbababbbaaabbaabbbabbbbbabaaaabbabbabaababbbbabbaaaaaabbbaabbba
+bbbbbaabbababbbbbbaabababbbbbaabaaaabbaabbaaabb
+aaabaaaaabbbbabbaaabbaabaaaabbbbabbaaabbbabbbbababaaaaaabbbbbabaaabaaaaaaabaaaabbbaabbaaabbabbbabbbbabbaaa
+abaaaababaaaabaaabbb
+aababaabababababbbbbaaabbbababaababbabbabbaabbabaaabbbbbaa
+abbabbbbaabbbbbbbbbbabbb
+aabbbabbbbbbbbbbbaabababbabaaaabbaaaabbbababaabaaabaaaababbbbabbaaaabaaabbbaaabbabaabaabbbbb
+aabbbababbabaaaabaabbaabbaaabbaabaaabaabaabbbbabbaabbbabababbaababbbbababaababaabaaaabaabbaa
+aababbbbbabaababbbabbbbabaaaababaaabaaa
+aaabaabbaababbbaabbbabbaaabababababaababbbbbbbabaaba
+aaabbbbaaaabbbabbbbabbaabbbabbbbaabba
+aaaaabbbbaaabbbbaabbabbbabb
+aabbbaaaaaaaabaaaaaababaaabababbabb
+aaaaaaaaababab
+babbaaaabbabbabaaaaabbbaaaaaaba
+abbabbbaaababbaaabababbbaaaabbbabbabbbabababbabbbbaaaa
+abbaabbbabbbaaababaaabbababaaabaaaaababbabbbbbaabbbbbbbaabbbbabbabaababaab
+bbbababababbbaaaaabbabaabb
+ababaaababbabaaaabaaaaabbbbaaabbbabaababaaaaaaaaabbbbaabaabbbbaabbbbbaaaabbabaaba
+abaabbabaaaaaabaabbaaabbbbabbbbababbaabbbbaaabaababaabaaabbbbaaaaabbaabbababbbaaaabaabb
+babaabbbaa
+bbabbbabababbbbbabbaba
+aabbabbabbbbbb
+aabbbaabaaabaabbaabbbbbaaababababababbbbaaaaabbbbaabbbbabaababbabaabaaabbbabbaaabbbbb
+abaabaabaaaaabaabaa
+bbbbbaaabaabbbbaaaaababaabbbabbbaaabbba
+babaaababbaababbbaabababaaababbabaababaaabaababab
+baabbaabbbaaaaabbbbbaabbbabbbbbbabababbbabaabbbaaaaaaa
+abbbbbbbaabbbabbbbababaabaababbabb
+abbbaabaaabaaaabaabbbbaaabbabbaabbabbbbababbababaabaaaabbaabaaaabaaaabbaabaabbabbbbbaaabb
+bbbbbaabaababbabaabaabbbabaaaabaabbaababbaaaaaabbaabbababaaaabbbbbbbabaaabbbabbabaabbaaaabaaababaa
+abbbabaaabaaaaaaabbaaaabaabbababbbbabbbbababbbababbaababbbaabbbaaaaababbaabababababaaaababaaabbbaaba
+bbabbababbbabaaabaaababbbabbaaaabaabba
+aabaabaaabbaabbabbaabba
+abbbabbababbbbbab
+baaabbbbbaababbaabbaaaabbbabbaabbabbaabaaabbaabababbaaabababbaabbaabbabaabababaabaa
+aababababaababababbabbab
+abababaaaaababaabbabbbbabbbbbabbab
+abbabbbbaabbbabbababaabbabbbabababbaaaabaabbbaabbabbabbbbbbbabbbbbbbbbbbbbaabababbaabbbbbbbaaabbabbaabaa
+aababaaaaaababaabaaabbbaaaaaabbbbabbbbbababaaabbbbbbaabbbaaabbb
+aaaabaababaaaabbaabaaaabaaabbbb
+aababaaabbababbaabaababbbaabbbbbabbaabaabaabbbbabaaaabaabbbbaabbbbbaabaaaaabbb
+bbabaabbbabababbbbbbbabaaaabbbbbabbbbabbbbaabbabaaab
+aabbbaaaabbabbabbaab
+bbaaabaaababbbbaabbaaabbbbbbbabaaabbbbaaaabbbbabaabaabbbbbbabbabaabbabbbaabba
+bbaabaaaaabaababaabaabbaabbaaababaabbaabbbabababbaaabaaaaaababbabbaaabbbaabaaabbbbbbbbbbaab
+bbabaaabbabbbbbaaabaaaabaab
+abaaaabbbaabbbbabbabbbbaaababbaaaabbbbaaabaabbbababb
+bababaaababbbbabbabaaabbbbbaaababbbbaababbbbbabbbbaabbaabaaaabbbabbbbaaabbbbbababbaaaba
+aababbbabbbbaababbbabbabbaaaaaaaaabaaabbabbbbaabbbbbbbbaaaabbbbbbbbaabbbb
+babbaababbbbaaabaababbbbaabbababbbbbabbbbbabbaababbbbaabaaab
+aabababbbaabababbbab
+bbaababbababababbbbbaaaba
+abaababbbaaabaaabbabbbbbabbabbaaabbaaabbaaaabaaabbabbaabbaaaabbbbaabaabb
+aabaabbabbbaaabbbaababbbaaabaaaaabaabaabbaabbbaabbbbbaaaabaaaabbabaabbbaaaaaabbbbaaabbabbaaaabbbb
+aabbaabbbbaabaaabbabaaaaabbaababaaabababbbaaabbbaaaabbbaaaab
+aaabbbbabbabbaabababaabaabaabaaaaabbbabbababaaaab
+abaabaabbbaaaaaabaaabaaaabbaabaaababaaabbbbbbabaaabaaaaaaaababbbaababbbbbb
+ababaaabbbabbbb
+aabbbabbbbabaabaababbaababaabaabbbaababbabaaabaabbabaabbababaaaabaaabbabb
+ababbaabaaabaaabbbabbaaabbbabbbaabbababaabaaaaaabbbbababbbbaababaaabbabbabbbbabaaabaababab
+babbaaaabbaabababaaaaababbbaaaabbbbababbbbbabbaababbbabbabaaaabaababbabbabaabbaba
+aabaabbabbaaabaaabbaaabbbabbaabbbaaaaabaabbbababababbaab
+bbbbabbbbbaabaabbaababaabaabaaaaaabbaabbaaaabaaabbbbabaabbbbbbaabbabbbabbaabaaaaabbb
+aabbaabbbabbaaabbaaaaabbbaaabbbbbbbbbababaabbabaabbbaabbbbabbaabbbbbaabbbbabbbbbbbabab
+70 34
+ababbbabbaabbbaaababbabbbabaabbbbbbabbabababbbbbaaaababaabbabbbaaaaabbaabaab
+bababbaaabbbababaaababaabbaaabbbababbbaaabbaaaabaababababbbabbbababba
+baabbbbaabbbab
+baababbaabaabbababbaaaababbbaaabbbbabababaabaabbabbaaaababbaaaaaaabbabbababbbaabbaaaabbbaababbabbbbbababababb
+bbbbbbabbaaabababababbbbbbababababbabababbbaaabbbaaab
+babbaabaaababbabbaaabbbbbbaaaabbaabababaaaaaabbbbababaaabbabaaabbbaabab
+abbaabababbaabbabbababbaaababbbabbbabbaabbabaabbaabbaababbabaabababbbb
+baaabbaababbbbbbbbababbbbaabaabbbabbbabbbaaaaaaaaaaabaaaabbbabaaababaabaaabbbbbbabaabababbba
+baaaaaaaabbbabaaaaaabbabbbbbaaaaabbbbaabbabbbaabbabbaabbaababaabaababababbaaaaaabaabbbaabaaaaa
+bbbaabbbbaa
+aababaabaabbaaabaabbabbbbaabaaaaabbba
+baaabbbbaabbbbbbababaaaaababbbbbbbbaaabbbbabaaabbabbabbaabbababaabbabbbaaabababbaaaaaabaaba
+babbabbaaaaabbbabbbaabaababba
+babbbaababbbaabbaab
+baaaaaabbaaabaabaabbaababbbabbaabbbabaabbbbbbbabaabbababbabaaabab
+bbbababbababbaabbaabbbbbbbbbbbbabaababaaabaaababbabaaabababaaba
+bbaaaabaaabababbabbaaaaaabaaaaaabbaabbabbaaba
+abbbaaaababbabbbababbbaabbabbbbaabaabbababbbaabaababbbbabbaaabaaaaabbaaabba
+bbbbbaabaabaabbabaabbaabbbbbabbbaabbbbbbbbabbabbbabababbaabbabbaabaababbaabb
+bbbbbbaaaaaabbbbabbaabaaababaaababaabbbbbbabbbaaabbabbbbaabbbbababbbbaabbbbbbaaaabababbaabaabababaabb
+bbaaababbbaabbbaaaaabbbaabbbabbbbabbabbbbaababbaabbabaabbabaaabaaabaaabaaaaabbaabbbabaabbbba
+bbbaaaababbbbababaaabaababaabbabbbbabb
+bbbbbbabbbbabbababbaabbaaabaabbaabbbbaaaaab
+bbbbbaaaabbaaaabbbaaabababbbabaaababbabbbbabaababbbbaaabbaaabbaabababbbbababbbababbaababbbbbbabbbaaabaabbbbbb
+abaaaaaabbbabaabaaaababbbbabaababbaabaabaabbaababaaaaaabbbabbbaabaaabbbbabbbabbabaaabbaabbabb
+aaaabaaabbbbaaaabaabbbbbabbbaaabbabb
+abbbbaababaaabbaabababaabaabab
+aabaaabbaabababaaabbbabbbbbbbbbabbabbabbabbbaabbba
+bbbbabaababbaaaaaaaabaabaab
+abbbabbabbbabbbbbabaaaaabbbaabaabbabababaaaabaabaaaaaabbbabbbababbaaabbbbabbbabbabbbababab
+baaaabbbaaabaabababaabbbaba
+babbababaabababbabaabbaaababaaabaaba
+bbbabbbabababbaaaabababbaaabbbababaaab
+bbbaabaaaabbbbbaabbbbbaaaaabaabbaaaabababbababbabaaaababbaabbbbbabbbaab
+babaaabababbbbaabaabababbaabbabbaaabbbbbbababbbabaabaaababaaaababbabbbaba
+ababbabaabaaab
+abbabbababaabababbababbaaaaabbbbaaabaaabaaababaaaaaaaaaaabbaabbbbbbbbaaaabbbaaaaaababababaab
+bbaabaaaaaababaaabaaaabbaabbaaabbbbaabbababaababbabaababababaababbbbbbabbbbbabbba
+abaabbbbbbabaabaaa
+abbabaaabababaaaaaaabaab
+babbabbaaababbbbababbbbaaaaaaababbbabbbabbaaaaababbbabaabaaaaabbbababbaaaabbbaaabaaabaaaaaabbbbbbabaaaaabab
+abbbbbabaababaabbaabbbababaaabbaabaabaababbbaaaaabaabbaabaaaabbbababbbabbbbabbbbababbabbaaaababbaabbbbbbbbbb
+aaaaabbbaabbbabbbaabbaabaaaababaaaababbabbbabbbbbaabaaabbabaababbbabbabbbbbabaaaabbbbbababbaaaabbabbaaaaabbab
+babaabaababbbbabbaaabbbababbbbbabbbaabbabaababbbbb
+bbabbbabaaabbbbabbababaabaaaaabbaaaabbbaabbaaabbaaaaaabaabaaabaaaaaaabaaaaabbababbaab
+aabaaabaaaabbababaaaaaabbbaabaabba
+abbabaababaaaabbbbbabababbbabaaaaaabbbabbbbababbbabbbaaaaaabaaabbaaaaaaabbaaa
+aaaabbaaabba
+aaabbabbabbaaabbbbbbabaabbabbaaabab
+abbabbaaaaaaaabbaaabaabbabaabbaabbaba
+aaaaababaaaaaababbbaaababaababaabbbbbbaabbaaabbbbbbbabababbbbaabbaabbababa
+bbabbbbbbbbabaaaabbbabbabaabbabaabbbbbaababaababbaaababbbabaabbba
+bbaabbaabaaaabbabbabaabababaaaabbaaaaaabaabbabbbaabbbbaabbbaabbabbabababbbb
+aaabababbbbaababaaaaabbbabbaabbbaaabbbbaaabbbabababbbbaabbbbaaabaaaabaaabbbbbababbaabaababaaabbbaabbaabaaba
+aababaaaaaabbbabbaabbbbaabbaaaabbbaabbabaaabbaabbaa
+aaababbbaabbbaabbbaaabbaabbabbbababaabbabb
+aaababbaaabaaab
+bbaabaabbaabaaaaaaabaabaabb
+aabbabababbbbbaaabbaabaabbaaaaabbbaabbaaaababbbabaaaabbbaaabbbbbbaaaaaabbaaabbabbababaabaabb
+bbbbaabbbbbabaaaaaabbba
+abbbabaabbbababbabbbbb
+bbabbaabbbbabbaaababbbbaabbaaabbbababaaaaababaaabbbabbaaabaaababbbbabbbbabbbbaaabb
+aaaaababbbababbababababbaabaaabaabbbababbabaabbaabbbbbaaabbbbaab
+abaaababbabbaaaabaaabbabbbabbababaa
+ababbaaabaaaaaaaaababbbbbbbabbabbbbbbbaabaaaaaabbbbaabaaabaab
+babbabaaaaaaaaabaaaabbbaaabaabbbabbbaaabaaba
+baaaaabbbaaabbabbaabbbbbbabbbbbaaaabaaaaabaabbaabba
+aaaaaaabaababaaabbababbabbbababaabababaabbbabbbababbababbabbababbabbbbaabaaaaaabbababbbbbbbbaabbaaaaaaa
+baaaaabbaaaaabbbaabbbbaabbbabbaa
+bbaabbaaababaaababbbaababbbabbbaabbbbbabaaabaaaaaaaabaabaabbbaabababbabaaabbbabaaaaabaabab
+16 14
+cbbadcddadacdcdadbcbbacacbdbb
+cbcadcbdaccd
+ccbdaabcbcdbbcdabaccccccdcaadcbaddadccaddbdcccdaccdbcadccabdddd
+bdcaadcabbadaaaddbbbbbccadabcadcadcabdddcdddaccbaccbdbbacbaabacdadbdbcbaadab
+bcaadabbadbbdaccaaccbdbdbcabdccdbacadaadbababdddbbdbcddadabbdadbdacbdcccbdaacddbadadbcdabbbcbdbdaccdd
+dbddcbdcdcddccdbcdaccda
+bddcbbbddabcadacdcdcbaadabbabdcddabbcdaabdd
+ddadddabdcacdcadacabddd
+adbbddccacccbddadabddbbdaaadbcddadbcadabaabaddabdbbdaaccabad
+badcbaaacabcdccacdaadbdcbbadcadacdbaccbcacbdbccdccbaccadbccdcbaccdadbbacbdaaddacbdbaababbddcdddbaddddb
+bacdccdbccbabdadbaccacdcccbcdabacbbdbdaccdbbcbcdcbdadaccdadbdbacdadcdbcccbbcbabbbccbccdaaadbcbdbdccddcbcd
+bccacccddbbccbcadcbcadacadbbdabbadabcbdcdddaadcdcacccadababbc
+daaaabdcdccddbdcacaddbbaabaadccacdaccbccbdbaaddaadbdabcacaaabacbcaadcbabccaadbbaabaccdbdbdbaacacccbbac
+ddcabddbdbcbcdbbddbbdcbcadadaaddcadccabccbdccccddabacaabadcaadcbbcdbdbaccbabccdcaddabbbcdaba
+bcadddcdbddbdbadaaddccdddcdccdadbcbdddcbdbadbdbcbcbbabacbaaccacaabcbbcccddddcadadcadcaab
+baabacacbdcaaabdabdaddbbddcb
+130 57
+bddcabcbbdbaabdbaabadbbbabdbccdbdbddbdadbabcaccaacaddbcdbadacddcccadbbacacbdacadaacadbdacbdaaadbbbddadbddabb
+bdadaddadaccabadddabbdddcabaaaa
+bacbacacbabcbababcdcbddadbcaddadbababcbccbcaadcaaaa
+ddcdcaadcd
+cbbddbdccadbbaaabaaadcabdadcdbdadbcadddaacadccccdbabdddadcdadabb
+ccddccbcbdbdbabdcbbc
+bdccdbabdadcaaddcadacbbbbcdbcdadbbbbdbcbbabaaccdbabddbddbbdcabcdccaddbbccddcbcdcaddbbdaacbdbbacdccccdbaa
+abcaabcbbaaacddadcdbbddcabcbabcdcbdbbdbcbdbdcdbddadadbcabcdadcacbccbbdddcddddcaaaaddbdccc
+bcaaadccdabcddaabcbabbabbbccccacdcdbbbaacbbadbbdacbccaddbaabaddacacaddadddacbaadbdccbacabccb
+bbdadbcbbabadbbddbbabaddadbdaacaccaabaaaadabddcacadacadabccabcdbcdacacaadbaccdcbc
+dbbcabcccbcdabbaddddbbaccbaccd
+cdbdddbdacadccdccadcddcbabadbbcaaddbdbcaacbcdcabaaccbbddbbcab
+aaccbbadcbdcadccabcdbdaacbdacdadbcaccdaadababacddabccddcddbbabcabcd
+bbccdbcaadddacacabbabaabdbadbdcbbadbdcabbaddbddbdddbdaabdddbabadadadcb
+ccdbcadaddbbabbdbbdbcccaadcacadcaabacac
+cadacacaacaddabccaabdccbaaccbcbdccbadabdaaddbdccbdcbddcdacdcdcbaaddbbbbbcccaccbbbcbddddccddcbbbb
+aabddbaaabdcbbbbbabcabbaddcacdabc
+adccdadacbbdababbdcdadccbdcdcdcaccacbbcdaacbccbadcbddadaadadcabdbbbca
+ccbcaacdcdabbcdccbbccacbcbcccadadbbcbddcbdcacbbaaabc
+cbbaaadbdbbbbabcdaaddcddcddbdcbdacda
+cccaccadcbccbababcbddaccadcdcbcaddbadcbbacdbcbccdbaaadaddbcddbbbadacbdadcdaccbdbabccaddaacbc
+cbbdbadadcbdcdbddcabddbcbbaaabacaacccdabdcdaaabcbcacaaadacccbccaabcccacababbcdbcbacdbacb
+ddccdcadabaaddbddbdacccacacacbba
+cbbdbdadddaadcabacabacabccbdddbabababdcaabcadbccaddcbaddbdacdcbaba
+bbccdcadcbbbaabbcdbcadacddaccccdbdaccadddbcdbbbdbbcdcbdbbabcbaabdbabdbcadbbcaddd
+ccddacdbcadbbcbcddaadaaaababacaddaccaacbaabcddb
+dbbaacacdabbaccdcbddaaddbddddcdcbbadadbbddaddabcdddcabcdbcaadbcbcdacdbcbbbacdabdbc
+acbbcdcdcabbcbdcbbcaddcaaacbcddcabcbcdabcccbdcdaaabbcdcdcccadbdbdcdbacbdbdcbddcacbaddacaddbacbccadabbccbacac
+bdcdaccdabbacabbbdbadbcbddaddaccdabcbdadbdddcdacbbdcccdaaccbcbcbdccbcaaadbbdcbbcbaaacddcddcbdddcba
+bbcccacbdbadabadbcbdccbdaddccbbadaddddcbabcccbdcddccabaadcad
+bcbacacbdddbccbcdb
+aacdcacababdcbbdaadadbaacacbaabccbcbddbddbcbbdddbdcdcdacdcbbccbaaadb
+abcbbdacbbacdcdbbbcbaccdbacccbacbdcccbbbccdbddcdddcdccddb
+ccaaccadabbdcababbdabaaacddbabdccccaadbdcabdaadbbbcacbbccacbdddbddacbbadabadcccdcbcdddabdd
+cdacadcdcadddbcbbdcddccbabddcacacacaad
+dbaabcddbaddbddbabacaacddabdddacadadcaadddcdadabcbdbacacacbdbdcdab
+bdddacadbbcabcbabdbddccabadadadabadbcaacaacccccdbbbb
+cdccbcdcaabbdaabbadbcabd
+dccaabaabbacadacdaadcabadacddbabcdacdddbaadabcddccaacabaddbddcabbcabc
+acabbdacdacbcbccaddcbabddbbaaddabacabdcabaaacddbb
+adcbbbcaacccbdbbaaccbaadcbbcdbaaad
+abcbdbacddbbdadcbcbbaacccdbdbccd
+cbaccacadccaadbcdaadcbcadcdaaababbcddddaadcdd
+abaccdbcbbbbaaccbdaddddbbbdcbbcdbdcaabcdccbbcaaaadbdcabcbddcbcbcacadccdcddbaadabbd
+dcbaadbbdbbbcbcdaccabadacdbbbadcbcacadcdabcddaddddaaddbddccdcdcbccacbcdbcbbcccdbdbccaccddbbbdcdadcdbbbbabd
+bdcbbbacabaadcbbcaaabdaccddcbbbcdcbccadcbbb
+bacbddcbaabaaaccabbdcdbbabbddadadaaabcbdaddbacddacbcadbdadcdacb
+ccadbabbbbaaccaccbdccdbcbbadadcccbb
+dbacbcccddaddbbacadcaacadaaadccdbbcddadccbdbbcdbbcddacadadbabdbccaabddcdbabaadadadbabbd
+abcdacabdaaaddcbabdcacccbddcdaddabaabcbcdddccbbbacc
+dcdddbabccbaccaacdcaccdcabdcccaccccbddacccaabadbccbbaaacbaccaaccbbcadbbada
+cadbbcdcddcabdccacaa
+dcaadbaccacabdbacacadccbaddaadbaadabcbddcbbbddcccdaaddcccadccbbcbbaabbbaccabbdbccbdbccccdb
+cdccbcaddcbacbccaaacaddbcdbcbbcdbaacadaabcdabdbbbadcdbaccdbaabc
+bbcadadcaaacdabaa
+dcabbcbddabddbccaccabadcbbcadbbcbdbbdcccbaabbdbd
+bcdcaadbdaabdbbbdbbdaccdacacbb
+caaabadabbccddbbbaacdcbcddddaccdbcbcdbdacaacdcdcabdcdcabbcbdaccbacaa
+abcbadbcddcdcacbbabdddcbaabbbbdbddbdbaaaccccadabcdcdaadbaccbdabaaadcbbacbabbcdccbdddaccbdacdbdadddbad
+ddabacadcaccdccdbbcbdcbadccbcbbcabdcddaacd
+ccaccaacadadbcaccaa
+abccaddaabdacdbcbcacddbdd
+dbcacccbdcddbdbdacdabbabdabacdbbbdbcaaabdbdbacac
+bbabddadbbaacdbabcddcdcdccbcaabdadbadabbaaaaaaabcbcddcaaccddcacbadaadaabbbdbaddddcddabcadcdddbaccd
+aadcccacbaaddadddbcadbdbcdacaaadcacbadabcbcaa
+aadacbdcddababaabbccbddacdbbcccbabb
+caadbddcdbb
+dddcbadbadddddcacacbabccdcacaabaadddcaabadbdbabdaa
+bdbdaaadbabcaaacdbacaddcdabddb
+bacbdcabdbbaccbcccbcdcbdaadbacddaccbcbcdbaaccaca
+addbdaacdbccddccbccbcca
+abddcacddbbcabba
+aabcdadcbbbcdaaccbaaadcbcbbacaabaabccdcaacdbcccaadcb
+baaaacaacdadbdccacadbdabdbcdc
+cacdacdabcbbacbbaacabcdbcaacdbaa
+bbbacdbcdaacddcbddbaaabcb
+aabdabaaadbccadaaaaaabccbdabdcaacbbdaabadabaaaacbcbdcaadadcccacbaabaacabcbda
+badadaddbacbcaa
+bcdbdcdbcbdbbdcbaabacba
+dddcccbccadadabcdadcacaaabbbadcadcaaddbcbbcbababcadaadcabdcaadcacdabc
+ccbcdccdaddbbcabaacbcbccccabccabdba
+ddcdabaaacdbadbcbdcdcaddabbbdbcadaacbcdadbbcdbbccadbdbacbadbbcdcbaaabbddaabcddacbb
+acdddbcccddaa
+abbcdccabadacbbcbbaa
+acdbcaaabdcbbbbaadbcdaabdadddaadcdcbcddcbdddcbcdbbcaabddcbbadcdaadadbbaaccbcaccabddddbdaadcddbbdbbc
+dcabbdabbadbdcbccbbadadd
+ccaadacddbabddbdcabbddbdddcbcdbcabccbddcabbcbdddcbabadbaaabdbbbadbcaddddbbdbcabcaabbcabadbbabdcdc
+aaccbdccdabbbabbccbdbcddadcadbbacaadbcbcbbbdcdacccdcdab
+dcabcabbaaacbdcbabbbb
+acdcbadbbcaabadddadcddcdcacbcbdcbbbacadccdcccaddbacdbccbbdbcbbcdbbddadadccdacbbaccccccbcadadabbabaaca
+adabaabaacbbdbaaacacdccacadbdbdaadada
+cbadcabcdbaacb
+cccaddccdaabcbabaccddcddacbddcd
+bbbadbdbdbbbaadbdcdcbbaacdbaccbdaadacbdddcabcdbdabddccdbbbabdddaddadaaabddbacbbadbdaada
+dcdacdcccbddacccacdbadccbbaccdbac
+caaabddbaadcaaddbcbdaaccaddcbccacdacccdacdbbbdbabadcabdb
+badcdcaabcdbcbbbbcacaabbdcbbabcabddbabdaccdddaccbbddbcabacbdddadaddbccbdacabdcbcccddabbadbbcddbadadccddd
+dcadbbcbcccbbcbabcdcddaaccbdacaaabadabcdbddbbabaadacadccbbc
+dabdaaabdd
+dbbacacacdccccdbacbbbdbdbbbcabcacaadcbbaaabcdcaadadbacbadbbaadadbdcdccabaaddcdbc
+bbabbbadbaabadcbbccdbdcbadadcdbddbccccabcdaaaaabbcdbcdbacbdaadbabbadbcdcabbadddcacda
+cccadcdcbbbbdccbaabaabbccdbbbacadbadcabd
+cabcccaacdadcadcaaddccbadddbccbaaabaadbbcbdadccdbaaaddbaadacdbbabadabdbabdcbdbdcdb
+dddcdadcdaacbccddcabdbcbaccbddbbcdbacaccacbaa
+cdccbacabcdcadcbdcbaaadadabcadbdaabcccddcbadbbacddbbaaaabbcdaacddccababbacccabcbaabacbdaaddbcccadbccdd
+bdacabadbbabcabadadacaaabbddcbcbcbbbddcdccdabbbdddadcbcabbbdbdcadbcaabcbdbbdadbdadcdbbabdbaadbaaccaddcbdacc
+bccbaadcbbcccd
+cddbccaada
+ddaadddccdcabcbbcdcbbcbbdbbabbdbbcbccaacabbcbcccaabbdbdabacacdaaaaddcddd
+aabddbcdabbacaddbbdadbc
+ddacccacdbcababaaaccadbacccbadcabbcdadcccaaaabcdaddcdbadaabddcdbcadaccbacdabbd
+cddbdbadadaacacbabdbccdbacabdcac
+dbadacbdbacddddadbaccabddaccbac
+dabdaddaadbbdaacaadcddccbaacacddcaadccaddcbaacbdaaacddbabbcb
+abbcdbabccaabbbbdbbbddaaddbbbabacacdbbbbcadcacbdbccadabcacaaccccacbbbbaaaccca
+dacacdadcbabcaccccbccdbdbcdccbbabbbabcacbadacacbaddbacdacacdbccdddcddcacbacbddadbbccdccacdbbdcaccddbaaa
+daacabbcabbddbadbacccbbaabaddaabbdccacbddbaccbacbbddacacabcacabbdcdbdacabbaabbaabcddaabcaaadaadcabdbbbba
+bdacccddbdccdcaabbdbddbddabacdcddaddddbaacbbbbcbdaaadddacbbcbcaddcbaccaddcabdaccddbbbadabbcada
+cbabddbabbaabccdddaac
+acbaacaaacdccddcbcbbaddcbdaadadabaaddbccbdbcddcddbdbb
+dcbdbbcbccaabddbbcadcbbcadbccdcab
+abbdbddadababcdaacdaaadcc
+cddcdccadcabaaacbacccbb
+acbabdbdacbacccdcbbacccdcbacdbddbbcdbbdbcaacdccccbcbcadbaadacbbcccaddaaddbbabdbacbaaacdadccacdcdcbcb
+dbdcbadaccbbabdcaaacbcbdbcdabadcdabdbadadbdacdccacaadbaacacaccbdadbbaccbbbb
+cacdadcacdcdacdcddcdbadadbccdabadabbadabcb
+bdccddbdccabdabcadbdcddbc
+bcdbcdbccdccbabdabbcddcbcccaadcbdccdcbdcbccaadcdccdacbadadbcbbcbaddaacbbacddbbadcbabcaabcccadcddbadcbcad
+adbacaaabbcbdcccbabcaccdbaabbbcbcadbabaadbdacadcdcdcbcddcbabadbdbbdadcbccdbaaabaabadcadacabcdbccaccbddcdbbda
+cdbabdaacacaacadcdaadcaccacacabaaadaabccdaabaabcacbacabaaacaa
+204 94
+cabcbacabbacbaabcbaabbccaccbbbccabcca
+cbababaaaabacbccbacaccabbcbccbbbabacaabbaaccaccacacaacbcaaca
+bbcccbacbbccba
+cbcaabababcabcbabbaaacbbbabcaccabc
+baabbaacaccbaccbcaabccbbcacccabbbcabbcbbbbbabbbbbbccaabacabbccacbbcbababbacabbccbbbbaacbabcabcbbb
+acabbcababaaccbbbcbcbaabccbcaaaabaabbbabbacabaababbcaac
+aaaaaccbacbaaccaccbca
+bcbaaabcbcabbccbccbcabaaacbbbcabcacbbcbccccbbcbbccbcbcabcbcabacbabcbcbbcacabcbcabbaac
+accacccbbbccaacaabaabbbbb
+cacbabbaccbacbccbbbbaacaabaaacccaaababbccababbcbb
+bbcabcaccaaaaababccabccbacacbbbcbccaaaaaaccaccabcbabbbcaaccabcaaabccbbcbabccaaabcaca
+bbbbbcbbcbaacabbccbcabccbacaabcbcb
+abacccccaababbbcabbcbcbbcbbcaaaccababcbabccbacbaaaabcbaabccacabacbcbcaaaabcaac
+cbacabccbcaaabc
+aaaaabbabcabbabbabcbcabaccaabaaccbcbbcabaabaababaabbcbabbaaabbcbcaacbbcccaaccaccbabbcabababcaccbaabbbaabbca
+bbcbccbcabbcbaabcbabcbbcbababccbbcbaaaaabbbbabbcaacacbbbabccababcbacbababacacababcbcabbbcbc
+bbabccabcc
+bbcacabbcbbbabcbabbcbbabcbbccbcbbcbbcbacbbc
+bcbaccacbbcbccacbbcabaccccaccaabbcacaacacbaccbbcabaac
+bccaaaaaaabbccbacccabb
+ccbbbacacccabbbbbbccbabccbacacbcccabbcbacccaaaaccaaaaabaabcbccacbbabcbcabbcabccaacacaacbbbababb
+abcaabaccccbbaaacababcacacacbaccaaaabcababbbbbcbcbcacbbbaaaaacabacbbbcaacbcabcaabacbaccccc
+cbbbbbcaabcccbaaabaacbabcbaabbcccccacaaca
+bbcbccbbbcbabccbcbbaccbbaabbbaacacbbbbcacbabccbaabcbaabbab
+babaccaabcbcababbccbbaacbaacbbaccaabcbbbccbaccacacbbabaaccbccbbaccabbbaccacbc
+cbcaabcccccacbbcbcbbcaabbaacacabbcbbbbbabcaabbccbbbbbbbccabacbba
+acaabccabaccccbcbaaabcacbccaacbcacccaabaaaaabbaabbcacaacbbbbbbaccbaccccababaabcccaa
+ccccabaabbabbaccacacccccabccabacbbccbbbaccb
+bcacabbacababcccccaaccbbbabbbbaacbbbaabbababbbccacbcabccccbccaacccbcbbccabccaaaaaaacacacaa
+babbcaccacbcbcaabbcacbbcbbcaaabaacaccc
+acbbabcabccaababababcabaaaaabcabaaccbaaacccabacbcaabaccbbcbcacabacccacac
+cacacccbbbccbcbbbcccabaccccacbccccabcbaabaabcaaccaacbababacbaaababcacaaabca
+abcccbaccacbbaacbcccacaccccabaccaccaccbccacababaabcaacccbbacacbabcacbbcacaaaaabbacbccbab
+bbbbcbbacaaaccabbaaabcbacccbbbabcccbabcabcccabcbaaaabaccaabbbabababcacbccbbabcbaacaacbaca
+acbbabcabacbccccccbbacccacccababbbcbabbabaabcbacacbbacbcbcbbaccbaaababbaabcaabacc
+babbababcaabcbaacaacbcababcabbcaababbbabbbbccbbcabbaccababcbcbcbcbcbbbccca
+aacabbcbbabaacacacacccccaacbcbcbbccabbbaccbacbbaccacbcbcab
+cbbbacaababccabbbbccacaaac
+cbbacbcbabacbbaaaaabcbccabbaacacbaaccbabcccccbbbcccabacbcaaaccabbcbbaba
+ccacbbcaaaabc
+aaccacacbcaaabcc
+ccbaacbbaaaaacabaacbccabbbbabcccbaa
+cbbacbbcbcbccbabaacaccacbbacbacabacacacaaaccbcccbaaccb
+abbbccbaabbbcbcbccaccaccbb
+cabcaabcabacaaaabbabcccaacbbaccabbbcccaacaacbabaccbabbbaccaccccbcacbccaabacabcabacababacbcbaaaaabccbbcccbcab
+aabbbacacbbbabbc
+bababcbacbaccaabababccacacaacacccccbcbccccaacacacbabacccbabacbbbacabcbc
+cbaabcbcababccbbabccbccbcbbaabcabccbcccccbbcacacacbccacacaaacbaaccccbcacbabbcacaaa
+caaacaccaccbacbacccaaacabbcbbbcbbbcabbccbbcbccaabbabcbaccaaaa
+accacaaaccbbb
+bacabaabaaaabcaccaabccababbababcbcbcab
+abacbbccacaacbaacbaacbabbbcabababaacbaacbcbbcaccabcbcccbacaabcacbbcab
+cbccaaccbcbabbabaabbabcccbccbbacbcabbabcbaccbabccbcccaccbaaccccbccbcacaccb
+aaabbbaaccbcbbabaccbacaabbacabcacaacccbacccaaccabbaccbcbaabbaabababaaabcacb
+bbbccbaaabbcacccabcbbacaababcbcaacaacbaabbbabbbccaabccbbcccabbcbbbccacacaabcbccacabcbc
+babbacaababbaaccaaccbbbaabccaaabcabaacbbbcbbaaabaabbaccbccbacbcbcbccccabaccccbbcbccbb
+ccbcbabbbbcccacbbcbabacbbaababcababcccbcaaac
+abbbabbbbccccccabbbacbcaccbcacabbbcacabcbccaabbcbccbccaaabbcccababbbbabbbabcacbacaacabbb
+bcacacbcaabaacaaabcbabbaabccaacbccacbcbcbbaaccbcacbcbbaaabcabbacacbbcabacca
+cccbaaaacbbba
+cbcaaabcbcbabcabcaccbccabcaacbacbaabacaabcacbccaccb
+babaaabaccccababbbbbacbcbcbbabaabacacbbabbccbcbacaabccabaabcbabcaabcccaabaccaabacaccbcbabcabbbaaccacabbc
+acaaacbbcbbcbaabbaacbccaccbaaabbcbcaababcabaaaac
+baabbbaaacbcaaabbcbccbcabaacaccbbbaccbbcccbbaaccaacccb
+bbbbbcabcbbabcbcbcaacbabacbcacbcaacccaaaacbaaacbbcccbcbbbacabbbbac
+aaaabacbcacbcacabbbcbccbbcbabcababccbcbacccabbbccacababbbcbbcbabcccacaaacbcabbabcaacab
+cababacabccaabccccccaccbbbaacbbcbbacaaacbcccaaccbbbacababcbaba
+cbbbbbcccaacbbcbbbcbcabaccabacbb
+cacbbaacbcacccbbcccabbcaaaabcabccbcbabccbabaacbccccbbcccccabbacbbcbbcacbaccbabcbbcaabaabccbaaaacba
+cbabacaacbccb
+bbabbcbcccacabcccaacbccacbb
+cabcacaacacaabbbaacbcbaccccbcccaacbcabacbacabaaccccaa
+cabcccaaabbaacacaaaacaabaca
+abbaccccbacaabcbacbccbcbcaccbcababababaacacbccaaabbabbaccaaacaccbcbacbabbbccbacab
+bccacbaacaccacaaabcacabccbbcbaaacaabbababaaacbbbacaccaaabacabbbcacabcccabcabacccabaaacacbcacbacbc
+caabaaababcaabcccbcbababbbbaaccbaaccccbaaaaccbabcbcbbabbbccbab
+bbbccaaabcabcbbaabbaccccbbbaccaaabbcaaabbaaccbaccacabaaaccccccbacbaccacbcacccbbaaccccacbccaacbbbac
+cacbcaccabcaaaabaabcbbcbcbaa
+abacbaabccabcbcccaca
+ccaaababccacacaacbaaacacabccababbccbbccc
+bacccababacbccbccccaabbccbabcbbabaccababacacacbbccbccbbbbcbccabbbccacabacbaacbcacccba
+acaaababcacaaccacabccccacbbbbcbcbcccabbacbbbccacaaccabbacaababcaaacb
+abcbcacaaacbbacacccccbbacbccbbabaabaabbaaabbcbaaacacbccabbbabb
+aacabccbaacbaccabacbcabcbccabababbbaabcacbababbbbac
+abcaccbacccabcaccbcbcbcaaabcacabbbacbcccbacccbcccacbbabacccbabaacabacb
+aaabcacaacaabcbcbaabbaacbaccacacbbbccccbbcaa
+aabacaaccbccccbbaaccabacbbbcbabcacbcbacbbabacbacccbccacacbcabcaacaaabcbcaaacaacbacbcbbcbbb
+abacbccbbbbbcbbccabcacaaaabaaaaacacaabcccbbcbbbcbcbccbaabacccbabbbcbccaabcaacbbccccbacbbacb
+bbcbbccbaccba
+aabcccaabccabcccaaccaacbbacbabbcbaaabaccacabccbbaaabbacbbabbbacbabcacaccb
+aaaccacbaabbbaabaaccbabaabcacaaababbabaccbcabacaacaaccbaacccbbbbacbccbacbbaaaaacab
+cbbbcacccbcbccbaacbcbbaccbcbaabcbabcbaaabbaccbccababbbbbbcaab
+ccabcccccbababcabbacaacbcbcaaabacccbacccaaacacabbbabbcccacb
+aaacabbbbabccaccbacaabbbbbbbabccaaababbaaaacbccacacbacaaabcacbaccaccababbacbabbbbbcbcaacbabbaaaaaac
+cbcbbbaacbccccbabcbbabacbcbabbbbbcacbbabacbacaaacaaababbbaacacaaccbbbabcaaaabbaaaabacacc
+cacbabbccaabbbabbbbccbbacaabcbcacabbacacaa
+baccbacbacabcaacabbccbbcabccbcbabbbc
+acbcccbaaaababbcacaaccacccabcbcabaaaccabcbaabcabcababbcacbccacccaaca
+bbabaabbabcacaaaabbbbbabbbacccbcbcaaabcaacbacaaabbbccaabbcaacaccbccbaccb
+acabbcbacacbbaabcbccbacccbcbcbabcacbaacbabcacababaacacacbbbcbcabcabacb
+baccabbcbcaaaaaccab
+cbaaaaaccabcaccabccababbccacacabbcbbbbcbcccaacbbbaccaccbccbacccacbcccbcbccbaccbcbabaccbcccccabbaa
+acbaabbbbaacccbbccacacccbbccaabbacbccbbbbacabaaabaababbcbcbcaccbbccccbcbccccacccabcabaabbcccbcbacbaaaacabb
+baabbccaaaaababcaacbcbbaacbbaaccbbbbcacccbbaacaccbccccaccabcabaabc
+cccccbcacabaaccabcccaaca
+abcabbbabccccbbbcbabbbbbaacabaaaaccbbabaacbaacbabcbcacbbccaaaccabccacbaccba
+bbbaabbacabbaacaccacaaaaabbaaabbbaacbbbcccaabbccbaaccabccabaabababacbaccabcacccabbaaccaaaacbabcccabc
+acabccccbacabccbaacbbabcacbbaaacaaacccbbccbbbbabaaaaabacbaabbcbaacbcacaaabacccbaabbccbbbbaacccc
+ababbcacbcb
+cbbbacbcbbbacabbbba
+acbacabcbbbaabababac
+bcaacabaccbababbacbbaabbacacccbbcacaaabbcaabbcbacbbabcaccbb
+bccccaaacbaacaabcaabcccb
+aababccbacabacb
+cbbccacbcacccccccbabbccbacacbbbacbaaa
+aaccbbcaaabababcaaabaccaaccbcaacaabbacbb
+bbcbccaaabcbcccaaabbaacbcbcaacbabccbccbbabaacc
+bccacccbbacaaabcbccbbcbaaacbbbccacbbcbababacaaab
+cbbbcbccccaccbacbaaccaccccacbacbcbacabcbcabaacbcbbccacbbaabbcbcbbcbabbaababbacaaacaabccbaabaa
+cabbbbbacbacbcabbabaacbacc
+baabbabbaaabbaabcabcacaacccacabbabcbabbaacccccbaaaaabccbaccccc
+bbbaabcacbbaaabcaac
+aacabbcbaaaaaacbabacacabccabacaacacabbbcbc
+ccccbbacbcaabbccaaabcababaacaccbbcccbaaacbabbbabaccbcccacababbbcccbabababaccbbbccbaa
+aaccabbcbccabccacbbabccacabaabcbbcbacbccaabbaabcacbabbbbacbc
+accbcabccbbccbbcbbacbaabaaa
+cbcacbacababbacbabccacbcbccacbccbbabbabbaaccaaaacaaaca
+cabcaccacacaccaabcbbcbbaaacccbacbbcbbbacaacbccaaccbacaabacbaacaaacaabccbababc
+abbcccacbaccacbabacbaca
+bacbbccabaccbbabcccababbabbbccbab
+caccaccbabbcbcbcabcccabccacbbccccaabaaaabcacacbbaabbbbabccbbbbacaab
+abccbcacccbacaaaccabcacabcbaccaaccabcabbbbabbaccbacccbabbcbcbcbacbbcbbcbccaacbaacbacbcbbbcabbcbcccaaccbccccb
+bbcbbaaccbba
+bbabacccaaacaaaaabcbcabbcbccaccacbbabcabbabaabbbacabcabcbaacccaaccbbcacccbaccaabbcabbaaaacaaacccaaaaccbaaccc
+bbabbbabcbbaacabbcbccbb
+acbacbbaabbccacababccbbbbccacbbabbbcabaaccccbaccaacccabccbabc
+cacbcbaacbcbabbbacabbbacbbacabaabaacacabcbccabbcbccaabbaacbbabcbacabbabbcbccbbbacccccbcaabbcbcabaabcb
+abccbbaacbabbcccaccccaabaaaacbaabac
+aabbabbcbccabbacbabaccbbbacabbcca
+acaccabbbababccbaacbbbcacaaccccbcbacacaabaabccbccabaabaaabba
+babaaacbaacbcabaacacabcabaaabbcbabccabcccabbcbbbaacccbbbcabacab
+cacaccbbbcbbabbbcccaaaababcaacccbb
+aaababbaaaaacacbccaccbabcbbbbcccccccaabbabcbacbaccacacaabababcaaccacabcabaa
+abccaabacbacaaabcbcbcaccaaabaacccaccc
+acbcccccccccbbcabbacaacbabacbbcbabcabcbbbca
+ccbcbacaaabcbaaabbcaaacbbcbbcccccbacaacbcaacacbabacccbaaaccabcbcbcaacbabbabaabbb
+cbcbaccabaacbcbaacabbbacccabbaaccaabbcca
+baabaacbcacbaacacbbcaabacacbbbbaabccbacaaabca
+cbaacaccbaccabcaaaaacbbabaabaacccaacccaacaabcaaacabbcaaacbaacacbcaaccab
+ccbacabaaccccbbbbabbacccaacbacacbcaaaaabccbaaaccabacbbaacbcccbcabaccabcacbbaacbaacbbabacbbacaaabccbcbbbcaabbc
+caabccabacbacbbcbbaccabccbbabcaaaacacbaaacbbabbccbcaacccaabbaa
+cbacacbcbbabcaaacacbcbaacbaabbcbbabccabacbbabbaabcccbbacaabccacbcbabaccacbbbbbbbaccacabbcabcbb
+baaacababbbbbbaccaacacbbbbbbcbabbacabaaabcbaaabcbccc
+caaabbcacaccaacbcacbaaabcbccbbaabcccacccbaabccaabbccaaababcccccccbbcbbbcaacccaabac
+ccbabcbbaaabcacaccbabaabbaabbbabababaccacbaaaacc
+abcaaaabaaaacaacaaabccccbacbcccababcabaccabbaccccbabbababaccaabbcccbcbbbacbcbcaabbacbcacbcbbaaac
+babccabbccaababaaacabac
+bbbabbbaacabcabbcbacabbbaccbbbccabcaaaacacbccbabccbaccbbcccaaccbb
+cccccbbacbabccabbbbbbaccaaaacaabbccbabcbabccbaaacaaba
+acbcacbbccacabbabbabcccbacaccbaccbcabcbcaacccbbbbabbb
+ccaacaaababcccacaababcbccbccaaaacccbbbcaaaccbbaacbccabcacacacbaabaacacaacaaca
+bccabcbbcaaacabbbacbbac
+bbabbaabbacbaaccaaabcabcbbccaaccbcabccbaabaacbabbbbc
+cbbabcacccccbcbaabaccacaabbccbbbbcbcbbaaabbbaacaacbcbbaaacbca
+bccababaacccbbccacccabaaabccbaabacbbbabaccbbaabcacbcccaaccbcabcbbbccacbbbbbbccabbaabbbcbab
+bccccbabbacaccacbcbb
+acaacaccccaababaccbbccbaaccbbabaccccbbbabababcccbcbcabbabcccacaccaabbaccabcaacacabcccbcbacababcbcacccb
+caabacababbcbbcbaacbaabbcbaccbcacccbaacabcaaaaacbcacccaacabacbabbcbbbcacbbcaabaabacc
+abcbcccacababbbcaacabaacbabbaaabbcababaaaacbbbbcacbcbccbbcb
+bbcabbbabbbcaaaccbaaaccacbcbbabcabca
+cabcbabccccacabcabcbaccbabbabccbaabaccacaccacabaacca
+bccaaabcbbaacccccacacbcacabbbcacbabaaacbbcccabbbbbabbbbbabbbacbcbcbccbababbcbbbcabaacbccacacababba
+caccabbbaa
+ccccaccccaaaabbbacbcccbbcbbccbbaaaaacaccbcbababbcaaacccaaacaabacaacbbcbacbcaccbabbaaacca
+bbcaabcaabcabbbbcbcccccccaccbcbcacabbabac
+ccbbcccaacbabaaaaacacaaccbb
+aabacbcccbbbcaacccaccbbcaabaabbbbaaabcbbabaacacacaacbcacaaacbccabcabababbbbcbcbabccaccabbccaabbabcbabcbaaaaba
+aacccabbbcbacaabbbbaaaacbbcbbabacbacbaccabccabccbacccacbbacccbcaababacbccacbbbaabbbbaccbccbbcc
+cbccbcbcacbcbcc
+aacaaccacbbcbbccbbaccaaaacaabbcacbbbbbcaabbbabcacacabcbacababcccb
+acccabaabbacccbcbaacccabcaaabccacbaabcbaaabcaccbaacababbbcbbbbccacabcaccbbabbbcabbbbbaabbacabccabacc
+bcbcaaccabcbcbccbaacccabb
+cbbaaabbabaabacccbaabccaaabababcbcbacbcaaaacabbabbbc
+cbacbaacaacabbcccaabb
+cccbbcbcacaabc
+cabbaabcbbababcaaabbabccbcacacaccacbaccabababcbbbabbaacbabbbbcaabccccbccabbcacacaabcaacaccabbc
+abbbbccacacacaabbacbaacabbcaaacbcbaabbbbbccccccaabcbc
+baaabaaabcbabbaccabbcbbbacabbaababbccbbbcbcbac
+bbbcaabbcbccacababcaabaabaaaaaccccabbccbcbab
+aaaaacbcbcababaabaabcbbaba
+caccbacaccacaccbbbcbbabbbacaacbcaacbbcacabcabbcacabbcacabbbbcbcabbbccccabacccacaaabababbcacca
+abbaaabaccabccbbccccbabbcbbccbbabbcaccbaaaaccaaacabbcbcabcaaaaaaaccbcca
+abbacabbbacccabcaabaababcabacccaccabababcacabbbcccacabaaabbbaaacaacbccbcaacbbcabcbabaaaacccbcbcba
+caccbabaaacabaacbbc
+ababacaaacccaababbbcbacbcbacacacbbbabaaabaabbbbb
+cbaabbbacaaabc
+cabacaabbcbbccbcbcbcaaacaccbcbbccbcacaacbcbbabccabccabbcacacaabbccbaacaaccacaacbbbbacbbacabbccbacacaacbbbb
+cbbacabaaabcccaaaabbacabacbcabaccaaaacaabcaccbcaacbcccaacaaaacbbccaacacccaaacacccaccaab
+cbabcbaccccccbbcbabcaaaabc
+cababaabcaabcbaabaccbccbba
+abcbbabbbcabaabaaababa
+baccacbabcacaaabaacbcabcabcbaacabbacbcbbbaabacaabcbccccacabacbaaacaabbbccbbbccbcabcbaabaaaccaa
+cbcaaacccbaabaacac
+bacccacaabcbabcbabcbcabcbbbccac
+132 120
+ccaaccbcaaacbbacaccccacbacccbaccbaaabbbcccaccbbacaccaacbccbbbbbabbababacaacbbccabacabbbaababaabcaababacbbc
+bbcccccbcaaabcaccbbbcccccccbcabccbabbb
+cccccacccaaaacbccaaccacacbacacabbaabbbbacaccabbaabcbaacacaaababbbacbbbaaaaaaabaccabaccabaabccacbaabaaab
+acbbaabbcbbccaccbabcaaccccabab
+bbcaabcbbccccbaabccbcacbbcaa
+cbbabbabaaccbaaaacbbcbbaabbaaccabbcacaaacab
+bacbbbccababaabbbaacaabaabccbabaacabccaccbcac
+cbccabcbcabcbacbccaabccaabbcaabbaacccaaccaacbcacbbccbccbaccbaccccbbbbabcbbccaabcccaaabaabcbbacabcacabcbccaba
+ccbbaccccbbabaaacacbccbacbcccacacabbcbaaaaaababcacbbcaacabccbbbacbcbcacbabbaccaacbacccbb
+acabbbbacbcaccbccbcbacccbbaccccccabab
+bbcbaacacacbbcbcbbaaabaaabbaaaccacccbabaabaacaca
+accaaacbaabbacbacccbcacccccbaaabbccaacabcbbcbababcacaacc
+bcbabbcaaacacacaaabcaacbabcaaaaaabcab
+ababacbcababbbbbacaaabcabacbaaaaabaaabbccbabcccbccbbccccaabbabcacbbbc
+baccccababbbacccabcaaacbaccbacaccabcaaccbbaccacbcbbbcbcaabaaabbacbbbaacbcbcacbbcabcaacacbbaacbc
+abcbabbbbcacaacacccbacaaccacccbbbcbccabacacbcccaccbbaccbabaabbaacbbcbabccccbbbcabacbbbaaccaacbcbaaabcbabc
+acaccacbbbbccaabcaababcbbbbabacbababcabbbcccb
+aaababaaaaabccbabaaccbbbcabccbbabbcaaaabaaacbabaaacbaaacbbaca
+abccababcabacbbaa
+acccabbaabccabacbabbaaacbaabacccbccaacabaacabbcbccccbacbcbbacaacba
+acbabccaaabbbacbbcabcaabaccbcacbccaccbabaabcbacbccbabcbacaaaaacacbcabacbbacbccbaacabaccbbbb
+ccacaabccbbbcbbacbbccbacbcacbbacaaababbccac
+ccaaaababbbaccbbabb
+bccbaaabaaabbcacbaabacabaacaccccaabcbaabcaabbaabaabacabcb
+bbcabcbbaccbbcbcbaccabbbbbbccababacbacacacbacbaaacccaaabcacbbcbabcbbcababbabcacbcaaaccbccccccbbcabacbaaaa
+abccbaabaabccbabcbacabccaaabbccbbbcccbacacbacbbccabccabbccaabbb
+cacaaaabccaacacbaabacaababcbbbcbaccaaccabbcaacbabccccc
+bcaacacacbcccacccbcaabbbcabcbbcabcbbaabcbccaccababbccbbbcbabaaaaccbcbacbcaaaacbbabbccabccbbbacc
+aacaccbaaaacbbaaaabbaaacabbbcbaaccbaaabccbaccbbbcaccaaaabcacbbbbbcabbaaababcabaa
+aababacaaaaccbaaabcaabbbcbaaaabbacbabcbaacbacbcababca
+accbabaacbccaaacbbabcbaabca
+ccbabaaaaccbabbbaa
+bababacbcb
+ccacaaabbccaaacbbcacbababbcbaabbbbaacabcbcacabcbcbccacaacca
+ccbccbccacccabccbbbababaacbbabcbabcacababacbbbabcbcacaaaabc
+caabbcabcbbcccbcba
+caccaabbccbbccaaaacbbaabbccabbbcbcbabba
+acbbacbccbaccabcbbccbaabaccacbabaabacbcbbbaacbbacababcabbbbccaaaaabcbcbabaaccabacaaa
+aaabcbcabbacacaaaabcabaabaaaacccabbabcbbccabcbcacbcabcc
+aacbccbacccbaacacccabcaccabcbbacacabcabccacbcaaaacbbbbabccababacaacbabbccaccabbbccaacabbbcabccbbc
+cbacccabbbcabcbbaaccbababaabcbbaabcbabbacbcbbbaaabbabbbbccaababcabbbaacababbbb
+abaaccacbababaaababcacaacbacacaaabcbcacccaccaccbbabcbbaccccbaba
+ccabbababaccbbccacbacabaaccaaaaabccbbbbaaaccaababcaacaaccaac
+bacccacaaacccccbbaaaababaaacccccabbbabccbccbbccabccbbcbbbbcccababbccbbbacbabbcaaabcbabaccabaaaccacacaa
+babcbaabcbaaaacacbcbaacccabcbbabbacbcbbbbbbbbcbcabbcccacbacaabc
+bacbbbbcbababaacacacabbabcbcbbccacbbcccababbacaabacaccbacaabacbbccacbbaccccbcacbabcaacccbaacbcbccbbacaabccb
+caacaabbccccbaaaacc
+acbbbaaacabcbcacaaaaccbbacaaccacbbbcaabcccbbccbbbbcc
+bccabcbacbbcbbaccbcccccbabcaacbaacaabcabbabbcbccbccbaccbbccbbbaacabccaccaccccacacbbcabaaa
+bcacbccbba
+bbaaacaccbbabbccbacbbabbccaabacbbbabbacbbcbaabcbaaccaaaccbaababc
+abccbbbcbacaccbcbbbbcacbbcbbccccaaaabbbacbaaacabbcabaabcbaacaacacabbbaabcacbbbacbcca
+accabbaaabaabccabacaaabcbcaabca
+acabbacacaaababacbacaabbcbbbacccbaacaccaaacbabbbabac
+ccabbbbcccabbaacbbbaabbbccabbcbbcccbbcbccbbbbaa
+cccbbccabcbcbcabccabbcaabccbcaccabbaacbacaaabbabbcbaccaaacaabbaccbccbabbccaacbcbacaababbbbbccabcb
+ccaaaccccbccbccbbcbbbabacabbaacababbabcaabaacbacaccabbbcbbacbccbcbcabacaacccababbbba
+ccabaccacbbaaabcbcbccbbcbaaaaccbacaacacba
+cbaabbbbaaabacbacacbbacabcacabcbaababbbaacacaccbccacbacaaaccbaccaaacccbbaabccbbcacabbccaacbbababbaacaab
+ccccaababaabbaccacbaccacabaaabccbcababccbacbaaacabbbabbaaccaab
+acabbccccacaccbacbaabbcbbcaaacabcbaabbacbcccbaaabcbbaaacbcccbbbbcabcabbcbaccbabb
+ccbbcccccacccbcababbcabbbcacbcabacacbcacabcabaaacbbbbbcaacccbaacbabbaaccccacb
+ccbcbbaaabaabccaabcbcbccacacabbbbaaccaccbcbaabbbacabababaacbbcaaaccacaccaacbc
+bccabbccabaaaabccbabbcbbcabbbbbcccabbbaab
+cacbcaaaccaccaaaacbabccabaabcbaaaac
+ccabaababbccbabcccccbaccaabccbccbaabbaabbbcbcbaccaabbaab
+cbcababaccca
+aabaabbbbaacbaaaccaaaaaaccaacabbacaaaaacbbaabbabcbcaccbacbbbccbbcabcaaabcbcacabcbbaccca
+abcbcabbababcbcacbabcbb
+ccbacabcacabbbccaaaccccccbaccabccbacbbacccccacacabbcaaabbcccbacbcabbbcbbbabbaaa
+bbcacbccaaaaccabcbbbcbabcbacccccbcccacccbbcbbbabcbccaababbacbaacaba
+acabaaaccabbbabaacccbbbbcbbcbccccbbbbccbbbabbabbabcaabababcbbb
+abcbaabccaaababccbcccbaaabcaacbcbaabbccabbbcccacabbabaaccbbcbabcabaaacaccabcacccbbcbabcaabcacccbc
+ababccaaabaaaabacaacccccababccbccaabcacaaabbbabcaccacbcaabbabcababacbcbcbbc
+aacbaabacbbacabababcaccabababbacaacacaaaccccaababaacbcbbaccaccbcbbcaaacabbaacaacaca
+caaabbacaaccacacacbccaaacbbccccaabccbccacbacbabbcccccabb
+bbbcbbabaaacbcccbbababcacbaccaccbcaabaccbaacbabbbaaabcccbbccbccabbbabcbbaaabaaabacabccbccbbbacbcacbccbaabb
+cbcbcccbbcbaaacccaacbbacbbcca
+baabaaacacacccbcabbcaccbcacbabacca
+ccbcbbbcabcccbbabcbaccbbaaaababbbbaababacaabbacccbbbaacccccbcbcababccbcabbaccaaaaccbbababacacaacbcabbaabb
+abaaaaacaabcbcbbbbaabbaccaacbbcbccbbacbaabbababcccbabab
+caacabacbb
+babbcbbcacabcbcbababbacbabbabcccbbbbcc
+caaccaccbcbb
+caaababcbcacbcbcbcbcbacaaacbcacaacbcbabbbcabaabaabacababccabbaacbccacbbcbcaabaabbbabbcacaca
+cccabbcbabcaccbccabbbacccababcabcbcabbbaabbababaababccb
+abcbbaaaccccccacbaacaaabcacccaccccaabbbbacbccacbbaabbccbcccaaabbcbccaaa
+bcccaabacbbacabcbaccaabaccbababccacbbcbccbbac
+baccbaaccbbbabbac
+cbcbbcbabcabbaaacbacbaacaccbcbaaccaacabbbcbacabbcacabbcacbabbccaccbccaccbbbbccbbbbccbab
+aaababcababbcacacacbcbaccbabcacabacbabccbacccaacbcac
+bcaacbcbaabcbccabb
+bccbacaababcccbbaccacccbbcacaabbbccbbacaacaaaaacbacbabacbabbacccbacacaccbaccaabbbaaacaacccbcaac
+aacbccbabbacbaacabccbcbacaaacabcbccbccaababbcaabaababacbbbbbb
+cccaccaaabbaccccabaaabbbaaaaababbbaabaacbbcbbababbaccbccbaacbacc
+bcccaabccbccbbcbbbbcbbbaacbcbba
+caaababbabbcaccbabbacbbaaacabbcb
+aacabbccacaabcaacaaaabccacacacacacccccaabccacbabcbaabbcaaaaabaabaabbccbbcca
+ccccaaabaababcbbccbaaaccaacabbbbbaaaaabbabbaababbcbbcabaabbacbbacabccbbacbcbabaacacabbbbaacabcacbbbcbacccbba
+babacbabbcbba
+acbbaabccbacbcaaaacbcbccbcbbabacaabacbccabbacaacbcbccbaaabcacbaccabaababbabbcbb
+cccabcabcaccbccbbaacbccbbaabc
+abaaacaaabacccbbbbaacbabaababbaacbcaaccbcc
+bcccbbcbbbcaabcbcabacabaaaacaabccabbacbab
+babcbcacbacaacabcbcababaacbcccbcbabcaccbccbabbcbbb
+ccbaaabbaabbcbccccacbbbacbbccabbbacacbbbccacaabcabcabbccbcbb
+abbcbcaaabbaaaaacaacbcbbaaabbccbbbabcaaaaababacbacbccacbcbaabbccabbbaabaaaaca
+bacabbcccacabaaaaabcbccbacacabccbaabccabbbc
+cbaccbbabcaacbcccbacbabbabababbcbbcabaabacccabccbbacbbabbccccbcbcbaacaacbbbababbbbbabaaaba
+aacbabcbcacabbacbababbbbcacaaacc
+bbaabbaccbcbbbacbcaccaacccaabbccabbccccbbaabcacccbbcccccbaaabaaccccbbcaabbaacaabbaacbbccccccbcaccac
+cccbabaccabbaca
+bbbabbccacaabccacccbaaccabcbaaaccbaaacaccbcbcccbbaacbaaabbaccacbabca
+aacbbaaccccccacccaccacbccbacaabccbaabababcbcbbbcccbaaaaaabbabacbc
+cbccaaacaacabbcabbaaaabbacaabcccbbabccaaaccccbbbaabbaccacacbcbaccaabacabcbbccbbacacbacbabcbab
+ccacbcccbcaaabbccbabacbbcaaaabbbbabccbbcababbcbbcbabbbca
+acaccbcbabbcccaccaababbbbacccacaaaacccaabbcbcbcacaaababcabcccacbbcbcbaabcaabcaccabcaccaabacbccccaaa
+aacbacabbbcaccbacacbabbccabcabacbbbbcbcaacbbbcaccabcbbaacbbbbbacbbcbbbacbcabab
+cbaabbcbbcbcccbaacaaaabbbcccacbaccacbaccbcaaabcbccbcbbacaacbabacaaabacbbcbaaaaabbcabbbbbbccab
+acbccabababbbaccabccbacbcacbacaabaacbbaabcaccbcaaacbbccaaaccaaaccaaabbbabbacaacaacbcbbaaacbacacacaaacccbab
+bcbaabbabcaccabcacbcbccaaabccacaacbbcbccbbaabbaccccbbbabcbccababcbabacbaaaabbba
+baaaabcbbabaaaccccaaccbacabacaccbbababcaabcaabcabcaaccababacaabacbababcbcaacbcaccaaaaaabbbbbcccabcaabbacc
+bbbccccbbcacaaabcabcbabcbacbaccabaabcbbcbccbbaccbcccbbbbabacbcaaacccacbcaacbabbbaababcccbbabccbcccc
+acaabbbccabbaacacbaabbbccbabbcabbacacaacbabcaabcacacacaccbbbabccacccbaaaabbcbaabbacbbbccbbabacaac
+baaaccbbbaaccaaacaacbbcacbcbbacbaacaacbbaaaccabbbcbbcacabcbbacbbcccbaccacbcbbcbabacccb
+aabacbbbcacaccbabbcbccabacbbcccbbbbcaccbabbbac
+bcccaabcccacccacabaacaaccabcbcaacacaabccbbacaaabacacaaacaaa
+bbbcbbbcbcbbacabccabcacacbabcbcacaa
+acccbcabbcabcacbababbbcccccbabaaccbcccbaccabccabbbcaaabccbbaacbabcbcaa
+cbccbbacabacabcbacbbcbbccbcaacbbacbccabbbabbcabacabbac
+cbcabaaabacabcbcbbcbabccacccbbcbbbaccbbbcccbaccbcbacbccccaabbaaabbcacbbcbcaaaaccbcc
+cabcacbbcccacbcbcbbcaacbaaaccbccbbaabaccbb
+273 37
+bbabbabababababaabbaabaabbbaabbbbba
+abbaababbaaabbbbbaabaababbbbaabaabbaabbbaaaaabbabaabbabbabbbbaaaaabbabaabbbbbbbbbabbabbaaaabba
+bbaabbabaababbbaaaabbbaabbbaaababaaa
+bbaabaabababaababaabbbaaababbabbaaaabbaababbbbabbabaabbbaabbbaabbbabbbbbbaaabbbbbaaaaaaaabaaabaabaabba
+ababaaaabaabbbaaaaaaaaabbabaabaaa
+ababbaabababbababbabaabbbabbaabaaaa
+aaabaaabaababbbbabbabbbaabaaaabbabaabbbbbaa
+abbbabbabababbbbaaababbbbabbbaaaaabbaaaaabbabaaabaaabaaababbabbbbbababaaaabbaaaabbbb
+bbbaababbaaabbabbababbabbabbbbbbbbbbaabaaabaabaabbbbababaaaaa
+abbbaaaaabbbabbbaaababaaababbbaabaaaabbabaabbbabbabababbbaabbbaaabbab
+bbbabaababbaaaabbbaabaaabbbaaaaabaabbbabaaabbbaaaaababaaabababababaaabababaababaabababbbbaabbbabbaaababa
+aababbabaaaabbbaaaaaababbabaa
+abbbaaaaabaaabbbaabbbbabbbababaaabbbaaaaaabaaabbbbbaabaabbbbbaabbaabbaaaaaaaabbaababbbaaaaaaabbbababbaaaab
+bbaaaabaabbaabbbaaababbbaaaaabbbabaabaabbabaabababaabbabbbbaabaaaaaabababaaaababbbbbabbbabbaaabaaaabbbabba
+bbaaabbbbabaababbbabbaabbbaabbbabbbbabbbaaaababbaabaababbab
+aaaaaaaaabaaabbbbbbaaaabbbabbaaabbaaaababbaaabbbaaaabbbbbbbbaaaaaabbaaabababaabaababbaabab
+baabbaaabababbbbbbbbbbbbbbabababababba
+abbbabbbbabbabbaabbb
+ababbbbbbbaabbaaaababbbabaaaaaababaabaa
+baabbbaaaaabbbbbaaabaaaaaaaabbaaabbbbb
+babbbababababaabaaabbbbaaaabababbbababbaabaaaab
+baaababbaabababbabbaabbbbaababbabbabbabbbabbbbbabbaaabbbaabbbbbbaabbaaba
+baaaaabaaa
+abbaaaaaaaabbbb
+bbbbbabaaaababaaaababaaaabaabbbabbbaabbaababaaababbbaaabbbabaabababbbab
+abbbbbbbbbbaaababbaabbabbabaabbbabbbaaabbaaaaaabbabaaaababbaaaabbaaab
+abbaaabaababbaaabababaabbaaaababbaaabbbabaabbbbbbbbaabbbaaabbbaabbababbaababababbbbbbaaabbbbabbbaababbaabab
+abaabbaababaaabaaab
+bababbbababbababaabbbaaabbbaabbabaaabbbaaabbbabababbaababbabbbaababaaabaabbaaabaabbababbabbbbaabaabaabaaab
+abbabaabababbbaabaabababbaaabbbbbbbb
+aabbabaabbbabbaaababba
+aaaaabaabababaabaabbaababbaaabababbbbbabbabaaaabbbbbbabbabaabbbaaaababbabbbab
+abbbbaabaaabbaaaabaabaabbabaabaababbbbbbababbbbabbbbbbbbbaabbbaabbbbbbbaaab
+abbaabaaaabbabaabaaaabbabbaabaaaaaabbbababaaaaaaaabbbabbabbabaaaabbaabaabbbababbb
+babbababbaaaaab
+abbabaabababbbabaabba
+bbaabbbaaabbaabbababababbaabbaabbbbbbbabaaabaaaabbaababbabbbaaaaabaaababbabbababaaab
+bbbbbbbbbaababaaabbabbaaabbabbbaabababbbaaaaaaaaabbaabaabbabbbbbbaba
+babaaaaabbbbbbbabbabbaaaaabbbbbaabababbbabbababbbabbbabb
+aaaaaaaabababbaaababaaababaaababa
+abaaabbbbabbababbabbabaaabbbaaabaaabbbabababbbaa
+baaabaabbbbabbbbbabbbbabababbaabbbbbbbaaaabaabababbabbbaaaaabaabaaaa
+abaabbaabaabaababbaababbaaaaabaababbbba
+aabbbabbbaaaaababbbaabaabaaaaaaabaabbabbbbbaaaababbabbbabbbbbabaaabbbabaaababbaabbbbababbabab
+bbabababbbbabbaababbbaaaabaaabaaabaababbbabbaaaabbabaabbbabbbbabbbabbbaabbaabbaabbbabaaababaababaaabaaaabab
+aaabbaaaaaababbbbaaaababbabbabababbababbab
+aabbaabaaababbbaaaaabbaabaaabbbbbba
+ababbbbbbaaaabbbabaaabababbabbbbbaabbbbabb
+bbbabbaabbabbbaabaabbbbaabbbbbbbaaabbabbbababaababaabbbbaaaababaabaabaababbabbbbabbbaaabbaabbaaaaabbbaabbb
+babbbbaaabaabbabaabaaabaaaabbbbbaabbbaaaabbbabbbabaaabbbbaabbbaabbaaaaaababaabaabbaabaabbabbba
+aaaabbbbbbbabaabaabbbaaabbabbabbabbaabbbbbbaaababbabaabaaaaaa
+babaaabbbabbaaaaabbbbbabbbaababbab
+abbbbbaaaaababbbaabbbababbabb
+babbaaabbbaaababababaaabbbaaababbabababaaaabaabaaaaaabaabaaababbbaaaababbaaabbbaabbaabbaaabbaab
+abbaabbaabaaabbababbaaaababbbabaababbabbbbbbaaabbba
+abbbbbbbbbbababbbabaaaaaaabbbabbaababbaaabbbaababbaabaaababbbbbbababbaababbaaaabbb
+abbbabbabbbaabbbaaaaaaaabaa
+baabbbbbaaaab
+bbbbbabbbbabbbababbaaaaa
+aabababbabbaabbbabaabbbbbba
+abababaaaaabbbabaaaabbabaabbaabababbaaabbabbbbaaaabaaaaab
+bbbbabbababaababababaaaaabbababbaabbbbbababbbbaababaababbaabababbbaabaa
+bbaabbbaabbabb
+abbaaabbbbbbabbabaaabbaabaaaababbbaaaaa
+baaaaabbbaabbababbaaaababaabaaaababbaaaaaabbaaabbbbbabbbbaaabbababababbabbbaaaaab
+aaaaaaabbaabbbbbabaaabbbabbabbaaababaaaabaabbbbabbaaaabbaaaabaabbbaaaaabbbbbbaabaabaaaabbabab
+aaaaaaabbaabababaabbaaaaabbbaabbabbbbabbabbbbbbaaaabaababbbbabbbbbbbaaaaaaaa
+abbaabaaaaabbabbbaaaaabababaaabaaaaaaaaaaaababbaaaabbbaaabbaabbbbaaabbbbbbbbababbabab
+abaababbaaaaababbaababaaa
+bbbabaaababaaabaaaabbaaaababababbabbabba
+bbbaabbaababbaaabbabaaaabbaaabaabbaabaababaabbbbbbbbb
+abbabbabababbababbbbabaabaabaabbbbbabbaabbabbaabaaa
+abbabbbbbbabbb
+babbbabbaabaabbabbbabbbbaababaab
+bbaaaabbabbabbbaaabaaabbbbbbabbbbbbabbabbbbbabaababbbbbbbbbbabbababaaaababababababbbaabaabbbbbb
+baaabbbbbbaaabbaabbbabbbbbaaaaaabbbaaaabbbababbbababbaabbbbbbbaabaaaaaabbaaaaabababbbbabbbbaaababbb
+aaaaabbbaaabbababbbaababbbababa
+aaabbbbaaaabaabaaaabbbbbbaababbabaabaababbbbbbaaaa
+ababbaabbaaaababbaba
+abbaabbbabbaaaabbabbbabaababbbbaabaabbabbbabbabbaabaababbabaabbabaabaaaabbbbaaabbabbaababababbbabbb
+aaaaabbbbaabab
+bbababaaabaabaababbbbbabaaabbaabbbaaabbaababbabbbaabababaaaababaaaabbbaaaaa
+aaaabbbbbabbbbbabbabbbaabbbabaaabbbabaaabaabbbbbbbbbabaababaaaaaababaaaabbaaabababaaaaababbabbaa
+abbbabaabaabbababbaaaaba
+aaabbbaaaabababbbaabaaaaaaaaabbbaaaaababababbaabbbbbaaabbbaaaaabbbbbabbabbaaabbbbabbbaababbbaaaaaababa
+aabbbbbaabaabbabaaabbbabbaabaaabaaabbabbbaaabbbabbbaaaabbbbbbaaabaaabaabbbbaaa
+bbabaaaaaaabaaabbaaabbbbabbabaaaaabaaabbabbababbabbbaabbbbbaaababaabb
+babbaaaabbabbbaaabbbbaaabaabaababbaabbbbaaabbabababaabbaabbbbbaabaaabbbbaaababaaabaababbbabba
+abbbabbbbaaabbaabaaabbbbbaaaaaabbbabbaaaabaaba
+baababbabbbbbaaabaabaabbabbababababaababababbbaaabbbaabbbabaab
+bbaaababbbabbbaabbbbbbaabaaabbbbbbbbbbbbbaaaaaaabaabaababbbabbbbabaaabaaaaabbaabaa
+bbbbaaaabbababaaaaaabbabaabaabaaaaaabaaabbbbaaaaaaabbbbabbbbabbbbbbbababbbbbbbbb
+baabbbbabbbbababbababbaaabbbaabaaaaabbaaabb
+babaabbabbbbbbbabbbbbababbaabbbabababbbbaabaaaaaabaaaabaabbbbaaabbabbabaabbbb
+aaabaaababbbbabaaababaaababbaaaababababbaba
+baaabbbbbbaabbabbbbbbaabbb
+abaaabaabaaababbbbabaabaababbaaabaabbabbbbbbbaabababababaaaabaabbbababbbaaabaabaaa
+baabaaaaaaabaabbbababbbbbaababaabababbaababa
+bbabbbbababbbbabaaabbbbbbaaaaabbabaaaaababbaababaaabbbaaaabbbbabbbbaabbaabbbbabbaa
+bbaaaaaaabbaaba
+abbbaaabbaaaaababbbbabbbbababbaaaabbbab
+abbaaabbabbba
+abbaabaabbbbaaababbbbaaaabaaababaaabaababbbaabababbbbabaaabbababaababbabaaabaabbbabbababbba
+baaaababbbaababbaabaaabababababaaabbbabbababbbbababaaaaaba
+baaaababaaaaabbababbbbbabbbabababbababbbabbbabaaab
+baaaabbbabbbbabbabbbbbbabbbaabaaabaaabaaababbbaabbabbababaaaaababbbbbaababbbbaaabaaabaaaaabbaaaa
+baaaaaaababbbabbbbbbabaabaaaabbbbabaababaababbbbbbbbaaaabaabaaaaaabbabaabaaabbbbabbbabababbbb
+ababaaaababbaaabbaaababaabaabaaaaaaabbabbbbabababababbaaabbbbabbbaaabbabaabaabbbababaabba
+abbaaabababbbabbaabbaabbbbaabaaabbbbbaaabaaabbbaabaaabaababaabbaabbbabbbaa
+aabaabbaabaababaaaabaaabbabaababbbabaaaaaa
+aabbbbabababaaabbbaabbabbbbaababaabbbbabbaabbbababbabbaaaabaabaaaabaababbabbbaabbaaabbababbaabb
+aaaabbbbababbbbbbabaaaabbbaaaababbbabaaaaaaaabba
+bbabbbbababbbabbaaababbaaabababbbababbabaabbabbababbabb
+bbaaaaabaabababbaababaabbbabaabbbbbababbabbbaabaaabbababbba
+baaaababbbbbabbabaaaaaabbbaaaabbabbbbababbabaabbaababbbabaab
+aaabababbbabaababbababbabababbababbbababaabaaabaabbbbbbbbbbbaa
+babbaaaababbbaabaabbabbabaabbbaabbaabbbaaabbbbabaabbbababaabbaaabbbaaabaabababbbabaabb
+babaabaabababaabbabbaaabbaabbaabbbbabbabbbabaaababb
+aaabbbbaaaaaabaabbbabbaabaabaabbbbabbbaaabaaaaabbbaabbbbbbaabbbb
+baaabbaaaabbbbbaa
+babbaaaaaabbaababbababbaaababbaaaabaabbbaabbbabbbabaabbaaaababbbaaababbaabbaaababaababbaaababbb
+abaaaabbabbaabbbaabbabbbaabbaaababbaaabaabbaaababababbbbbabbbbabbbaabaaab
+aaaaabaaaaaabbabbabaabbaaaaabbabaaaabbaababbbabaababaabbaabbabababaaaababbbaaaabaabbabbaabba
+bababababbbaaaaaaabbbbabababbaabbbabbaabababaabbbabbbbabababb
+aabaaabbbbbabbaaabbabbbbabaaaaaab
+bababbabbb
+ababbbabbbabbbbbbbaabaabbabbbbabbbababbbbaaabbabb
+baabbbbbababbbbbaabaabbaaabbaaabaaa
+bababaaababbaabbbbabbbbbbaabababaaaabbbabbaaabbbabaabaabaaabaaabaa
+bbbaaaabaabaabbabbaaaaaabaaaaababbbbabbbbbbaabaaabaababbaabbbbaabaababaa
+babababbababaaabbba
+abaabbbbaaba
+ababbaaabbbabbaaaaaaaababbbababbbabaaaaaaabbbbaabbbbaaaaababbbbbbbaaababababbbbaabbaabaaabbbaaaaaaa
+abababbabbbbabaabbbaaaaaabbbbbaaabbababaababbaaaababbbaababbbbabaabababbaaaaabbbbabababa
+bbaaabbbbbbbaaaaabbabbaaaabbbabab
+bbbaababbabbaabba
+baaaabbabbbbbaabbaabbbabbababababbbbaaabaabbbabbbbb
+abaaaabababbabbaaabaaabbabbabaaaabbabbbbaabbbbabaaabaaabbabaabbbaabababbaaaaa
+baabbbabbbbbaabaaababbaababbaaaabbabaaabababbba
+aababaabbabbbababbbbabaaabbbabbbaabaabaaaababbaabaababababaaaababaabbb
+abbbaaaaaaabbbabbaabbaaabbbaabbbabbbbababababbbbbaaabababaabaabaaababbababaaaabaaabbbbababababbbaaabab
+bbbabbabbabbaaabbbbabbbabaaabaaaabaabbbababbbbabbbbbbbbaabbaaabaabbbaaabbabaaaabbbabbaabbaaabbbbaabbaababbaa
+baababaabaaabbaaa
+baabbaabbbaabaabaaaaabbbbbbaaabaabaaaaababababbababbbaabaaabaaabbbabbbbabbbabbbbabbabaabbabbbb
+baaaabbbaabaaababab
+bbabbaabbaaabbabbabbbbbaabaabaabbaaaabbaabab
+aaabbbaabaaabbaaababababaabbbbbababbbbaabbaababbaaaabbbaaababbabbaabbaaabaaabaaaabab
+aababaabaabbbbaaabaabbabbbbbbbbbbabbabbaaabbabbabbaabaaabaaaababbbbaaba
+abaabaaaabaabaaaaaabbabbaabaaabbbbabbabaabaabbaab
+babbaaabaaa
+abbababbabbbbbabaababbabaabbbaababbaabaaaabbbbaabbabbbbababbaabaaabbabbbbaabaababbabaaabbbbbaaaaa
+aabbabbaaabab
+bbbbabaaaaababaaabaaaabaaaaabbbbaaaaabbbaabbababbbabababaabaabaabababbbbaaaaaabbaaba
+bbbbbaabbaabb
+bababaabbabaabaabaabaabaabaab
+abaaaabaabbaaabababbaabaaabaaaaabaaabbaabbbbbbbbbaaab
+aaabbbbaababaaabbabaaaabaaababbaabbbbaabbaaabbbabbaabbbabaaaaaababaabaabababbbbbabbabbababaaaaabaaab
+abbbababbbaabbbaaabbaabbbbbbbbbbabbabbabbbbbbaabaaabbaabbaabaabaaabbab
+aabbaabbaabbabaabbbaabbbaaaabaaabbbbaababbbbbbaaaababaabbabbbbbbaabbaaaaabaaaabbaaaababaabbabbaaabaaabaaaaaba
+abbaabaabababaaaabbaaabababbbbbabbaa
+aababaaabaabbbaba
+bababbabaababbabbabbbbabaabbaabaaaaaaaababbaabbaaaaabbaaabbbbbaaabbbbaabaaaaabbabbb
+bbbbabbaabbbbbbb
+bbabbbaaabbaaaababbabababbbaababbbbaaaabbaaaabbaaabab
+aaababaaabbbabbabbbbababaaaabbbabbbabababaaababbbbaabbbbabbabaabbaabbbbbaaaaabbbabaaaabababbbaa
+baaabbababbbabbabbbbbaababaabbbb
+abaaabaabaabababbbbbbababbbabbbbababaabbbbabaabbbaababaabbaabbbaaabbbaaaaaabaaa
+abbbaaaabaaababbbbabbaabbbbababbaaaabbb
+aababbabbaaaababbbbbabbaababbbbbbaaaabaaaaabbbbaabbaabbaab
+abaabaabaabbabaaaababaaabbbaaaababaabbaabaabbaaabaaaaaab
+babbbbbbabbabbbbaaababbbabaaaabbaa
+aababbbbaaaabaaaaabaaaaaaaaabbabbbabbaabbaabbbbbbbbbabbbabaaabbbbaaabbababbaaaababababbbaabaabbababab
+aabaaaabababbaababaaababbabaabaabbbbbbbaabbaaaabbbbaabbabaabbbab
+abaabbabbbaababbbbbabbaaabaabbabbaabbababbbabbabbbbabbbabbbabbaababbabaabbabbabaaabaaabbb
+abbbaaaaabbabaaaaabbbbbbbababaabbabaaababbabbaaaaababaabbbbaaabbb
+ababbbabaaababbababbaaaaaabbbbaabaabbaabaaabaaaabaabbbbab
+abaabaababaaaaabbaaabba
+babbabbbabaaaaabaaaaababbaabbbbabbbbbabbbbaaaabbabbaabaaaaaabbaabaaaabaababbbbababbaaababbabababbabba
+abbabbbaabbbbbabaaaababbbbbabbaaabaaa
+bbbbbbabbbabbbababbbbbaababbabaababbbabbbaabbabbabaabaabaababbbabaabbabbaa
+aababbababaaababaababaabaabaabbaaaababb
+babbaabbbababaaaabaaaaaabababbaaabaaaabbbabaaaabababb
+baababaaababababbabaababaababababaabbbbaaabababbbbaaaabababaaaaaaaaabaabaababbbaabaababaaaaaaaabbabbbbab
+bbaaababbbabaaababbababbbaabbabbbbaabbabaaaaaabaababbbababbbbaabbababaaaaaabbabb
+aabbababbaaaabbaabaaaabbbabbbababab
+bbaabaaaaaab
+baaabaaabb
+aabaabaaabbabbabaabbaabababaabbbabba
+baabbbabbaabbbaabaabbbbbbbabaaabababaabbaabbaaaaaaaaabbabaabbbbaab
+bbaaabbaaaaaaaaaabbbaabbba
+aabababaaabaaaaababbaaaaaaababaaababbaabaabbbab
+aaabbbaaaaababbabaababaabababbabbaababbbabaaaabaabbaabbbbaa
+abbabbbbbaaaababbbaaaabbabbbaabaabaabbaaabbabbaabaaaababbaaabbbbba
+aababaaaaaaaabbaababbbaaababababbabaaa
+aabababbabbbbaaaabbbabaabbbbbbaaabbbbaabbaabbaa
+aabbbbaabbabaabbab
+babaabaabbbabbbabbaaaababbbabbbbb
+abababbbbbabbaabbaabababbbbaaaab
+abbaabbaaabaaaaaabaaaaaab
+babbbaababaa
+aaaabbbaabbbababaabbbbbaabaaaabaaabbaaabaabbbaaaababbabbaabaabaaaabbabaababbabbaa
+abbabaaaabababaabbababbaabbababbabaaababbabaabbabbb
+bababbbbaaaaababbbabaaaabbaabbbbbbabaaabaababbaaaabbbbbbaabaabbbbbabaabaaaaaaaaabbabbbaabbabbbaaaabba
+aaaabaabbbabbaabbbbababbabbbabaaaaabbbabaababbbbabbbbabbaabaababaaabbabbbabbbbaaabababbaabbba
+abbaabaaabbbababaaaabbaababbbababbaaaababababbbbbbabbbaababbaababababbababaabbbabbbbabbaababb
+baaabaabbbbbaaaabaaabaaaabbbabaabbaabbababaabbbaabaaaababbaaaaaaabbbbbabbbabababbaab
+baabaabbababbaababaaabbbaaaabbabaaabbbbabbbabbbabaaabbbbaa
+ababaaaabbbbbaab
+abbbbbaabbaabaaaaabaabababaaabababbaaabbababbbababababaabbbbbbbaaabbbabbbbaaaaabbbaabbbaabbabbbbaababbaaaaab
+aaabbbabbbaaabaabaaaaa
+babaabbbabbabbabbbabbaba
+bbaabaabaabababbbaabbaaaaaabbbabbbaaababababaaabaaaabbbaabaaabaabbbabbabababab
+abbbaaabaaabaabbabababbaabaabbabbabbbababbb
+babbaababbbbaabaababbaaababbaaabaaababaaaabbaababbbbbaabaaababababbbabbbbbbbaba
+bbaaaaaabbababbbaaabbaabbabbab
+bbbaaabbaaababbaaabbbbbabaaaabaaaabbbabbbaaabbbaaabaaabaaaabbabaabbbbabbaaaababbaaaabb
+babbbaaaaabbbbbbaabbbabbbabbbbbaaaabbaaaabbababbababbbaabbaaabaabababbaaabbbbaaaaba
+baaaaabaabababbbabbabaaabbbaaabbbbababaabbabbbabababbaabbaabbbbbaabbbbbbbbbbbaaababbbbabbbaaababaabaa
+abaaaaaabbbbbabbabbaba
+aabaababbbababbbaaaaaabaaabaaaaaaaaabababaabbbabbbbaaabaabbbaabaababbbaabbbaababaaab
+aabaabbabbbaababbbbaaabaaabbbaaaabba
+baaaababbabbabbaabbabaabbbbbbaaaaabbabbaaabbabaaababbbbabbbbbb
+aaababbabbbaabaaabbbabababaabbabbabbbbbbaaabbabaabbabaabbbbbbbbababbbbaabab
+aababbaaaabbaaaabaaabaabbbbaabbabbaaaaababaabbbaabbbaabbaaabbaabbbbabaabaaabbabbbbabbbbb
+abbaabbaaaabababaa
+bababaabbaabaabbabbbbbbabba
+bbbbbabbaababbabbbaba
+baaabbaabaababaababaaabbbaabbabaaaab
+abbaaaaaabaabababbaaaaababaaaabaabbabbbaaaabaabbabaaabbbb
+baaabbbabbbbbbbabb
+babaabbaabbbabaaaabaaab
+abaababaaaababbaabbaabaaabbabbaaabbaabbabaabbabaababbabbaaaabbbaabbabaaaababbabbbbaabbbbaabaab
+aaababbbaabaabababbbaaaabaaaababbaaaabbaabbbbabbababbbbaabbaabaabaabaaa
+aaaababaabaaabbbaaabababaaabbbaaabbbaaababbbbaaaaabbbbabbbababbbb
+abaaaababaaabbaaaababbbababaabbabaaababbaaab
+bbbbbababbbbbbabbbbbbbbaaba
+baabaabbaaababaaabb
+babbaabbaabbababbaabba
+ababbaabbbbbbabaaabaababbbbbabaabbabbabbbbb
+aaabbbabaaabaabbaaaaabbaabbabaabbababbaaa
+ababbaabbbbbbabababbaabbababbaabaaaabbbbbaabaa
+aabaaaabbababbbbbbbbbabbaaabbbbbabbaaababbabaabaabaaaaaababbaababbbabba
+bbbabbbbaabaababbbabbba
+abaababbabababaabbbbaaaaabbabaaaabaaaaabbb
+bbaabaaaababbaaaabbaaabbabaabbaaa
+bbaabbbaaabbbbaabaaaabbaabbaabbababbbbbbaaaabbbb
+aabbabaaabababaaababaababaabbbabaaabbaaa
+bbabbaabbbbbabbbbabaabbaaaabbaaaaabbbaaaababaabbbabbbaababaabaabbabbbaabbaabaaabbbabbbb
+aaabaabbbababbbb
+bbabbaaabaababbbbaabbabbbbbabbbbbaaaabbbbbbbbbaaaabaabaabbabababaa
+bbababaaaabb
+babaabbaabbbbaaabbbaabab
+ababaaaaaababbabaabbbabababaabbaaababbababaabaababbbababbababbbabaaaaabbabaabbbabbabbabaabbbbbaabbaaaa
+abbaaaabbbaaaabbbbbabbaabbbbbaababaababbbbbaaabbbbabaaaabbaabaabbabaababaaaaabbabbaabaababbaababaabaabbbabba
+abaaabbabbababaabbabbaababaabbabaababa
+abbaaababaaaaabbaaabb
+abbabaabbaaababbaaabaabbabbaabbba
+bbaabaabbaaaabaaaabbbbabbbbbabbababaaabaabababaababbabbaaababaaabbbbaaaaaabbbababa
+bbaabaabbbbabbbababbbbbabaabbaababaabbababababbaabaaaaaaaaaaabbbabbbabbbaabababaabbababbaabaababaababbabab
+babaabbababbabbbababababbbaabaaababaaabbaaabbbabaabaababbbaabaabbababaaabbbabababaaababbaababaabbbbabaabbbab
+bbabbaaaaaaabbbaabbbabbbbababbbaaabaabbabbabbbabbaabbaabbaabaabbaabbaaabab
+abbaaababbbaaaaaaaaaaabaababaabbbaabbabbaaaabaaaaaabaababaaaaabbbbaaaababababbbabbabbabbbbaabbbbbabbbaabbaab
+bbbababaabbbbababbaaabaabbbbbbbabaaabbaaabaaabbabbaaaaabaaaab
+babaabbbabbababbabaabbaabbbbb
+abaabbbbbbbabbbbaaaaaabbaaabaababaabbbaabaaaaaabbaaaaabba
+babaabaabbbbbbaabbbabbaaaabaaabaaabbaaabbbbabbbabaaaaabbbaaaaabbabaababbaa
+abababaaaabababbaaabbbaaaaabababbabbabaababababbaababbababbbbabbbbabaa
+abbbaaabbbaaaabaababbab
+abbbabbaaabbbbababaabaaa
+bbbbaaababbbaaabaaaabbbabbbbbbabaabbbabaabbaabbbbbabb
+abbbbbbbaababbabbbbbbbbababaabaabaaaaaaabaabbbbaaaababaaaabbababbbababbaababbbaabababababaabaa
+babaaabbbabbbbaabbaaabaaaaabaaabaaababbaaaababaaaabbbabbbababaabaababaaba
+baabbbaabbbaabbbababbabbabbabaaaaabbaabaababbbabaaabbbabbbabbbbaaaaabaaabbaabbaaabbbaa
+117 24
+ddadabbbbabbdddacccbbccbbacbcbcdcadcdcdbbcbd
+bbdcadbacaacdbcbdcaacccdacbbdddddcacdacaabdcadcabbcccaaacbadbbbdbcdbbdbadcbadbbabab
+badaacbbacbdaccacaabdbabbdcdaabbabdbcbdccbcddb
+abcaaddacadbabccaccbddbbddacdddcdadcdbbabcadaddbacdbdcbdcdccabdaadacdaaadabbabdcda
+bbbaadbccddaddddbdbcaccdbacccaccdcddccdbdbccbdbcbbacdbbdacaadaccccabddcb
+ccdaddccccbbbbadbcaddabcdccbaccccbaaababbacc
+acbbbccdacdccdbbcbaabcddbdbdddcdccacbbdddbaaddacbdbdcaccbaabdaacadcbadbaddadcbbaddbbcbbdbccdba
+cbbaaccadbdccacaacdbadcbc
+daacccabccadccdcdbbacacccabcdcd
+adaaaccdadcadddabbbccddbaaacbcaddacdcdcbcacbdacdcbbabaaaacbddddabb
+caaccbdaabcabdcadabbbcacbbbddbabdbbcbbcaccccacddbcababdaaabba
+bcabbcaabcbbccdddaaaacbdddcdacdbadbbadddccdbdaddaccbadbadddcadadbdbabd
+ddadcddbbcbdbcbddaaabccacbcdcdcdbaa
+abacddddccabccdcccccccddadbdcddacbdddadcbdaacabbddbaddddabaddaccdccbcccdddcbdadacbcab
+cdbaacbaaadbccbdbaabbcaabaacbccbacdcaaaaccddabddddcdccabaadcbbcadccadacbdadabcccccaccb
+ddbdbdcadbbcdbddabbdaccbaaacdbd
+cddbabcdbbdbcadacbabcbaabbdcdadabdcadbacabdcadaadbcdccbaddcaaacbcaccadcdabd
+bdaddcddaccbcbacaacabddbcbbac
+aabacdabdccdbccdabccabcdbaddcddbdbcdadadcbcdbcabaccdc
+cbaddcbdabcddaacccacbccccdadacbbbaa
+cdddcdbadaabbadabdccaccdbdbbddcadaddbbddbbababdccbcacdbaac
+bdbbcacddacccccdcdbbbdabaaacbbabddccdddadddbbcabccbcbcdcbaacbacbcacadbdabddbccacbcbddbccbac
+dcccaaccdcaaabacbaacddaaabdcda
+dcbcbcbdbbdbcbcccacddabbbbcaabdddbcdacdcdbbbabccddcadacbcadacbcaabcacdccbaccdbcaddbdcadcab
+cacdadcdacbdcbaabadcbbbbbabddddcbdccdaadbacbbbccbccbadbcacbccbbacbcaabadadccccaabddabcddbcddd
+cdcacbabbbbbbdcbbdcbbaddcdddabaddcdddcbbdabbaacaaaabccadaabdbcbdccbacaadcabdca
+dbbcaaadcbcdbaaabdadbcdccabdbcaacddbbaa
+cdbdaabdacdabddbaabdbabccdaddddbacbdccbddbddccacadcbdcddcadbbbaabacbbdcdacbbdaccdccc
+cdabaccbddbccdcbaaddbdcabcbcccadbcbdcbdaadbcbccdddcbaddbabdc
+baaadcbdabdadddcbbbaaabcbaacdcbcbaaadcacbbaadbcadbadcdbadbddcccaabadcccbbbacaddbbdcabdabcbacacddbabccd
+bdddbacbcababbbdcdaadcbb
+cdcbdcadbbabccabdcbaccbbdcabbcbcdaaa
+acaccdddabbaaabadbccbdcacbaacbdabaddcdabcabcadbabaccdddcdcddbbdccadbbcacddccdcbaacacb
+cdcbbadabcbcadadbdacacccccacaacdcdcbcabda
+addabacacbcbcacddcdadabcaccbcabbbbbadccacbadaadadabbbcacdacccdbcbadcdbbbbbaadbbdaaaadaac
+ddbbaaccad
+bbddbdacdbdcdcccbddadccadbcddaaabdcc
+cbacddbbcbc
+cdacacbcbdbccacaccdbbdaaaaacdadbccdddabbdbb
+bcabdabcbbdcacabcddccacdadbbabaabddabaadcccadb
+caacccbacdadbabcdddaaaabdccaabaddccdcbcdddbacabaaadddcddb
+cacddddbbbbdcbdbdcdcccabdbbaddbbdb
+aaddbbcdbabbbbcdbdabbbdbccdaadcdabcaacdbdcdccbaccbcabdbddbbacbbdacdbbcdccbbdbbddcdddbdcbcbacdbcaacd
+cabddccabcbcdcbcbbaccdacbdacbdbabdcacadcb
+abccaaabaacababcdacaadbadcdaadbdaddbd
+addaabbbccbdaabbdcbbdabcdacddbdbbdacbdbaacacdcacbadccbdcbcdcbabadcbccbcacccaacadaaaccacbccadbabbddaddbcbaaccc
+addcbdccabaaadaabcdcdaddaabbcbbbbdacdaccbacccdbccccabddbdcbcbbadbdbbdccaddcccbdaaddbddccbcbbdcdcacc
+acdbbdccbaaa
+bdaacbcbcbbcadabccdcadcaadddbbdcaaacdacabcaddddaaabbdadabdbdadabadddabbdacbccd
+cbadbcccabadddbacdabccbdcccaabbdbdcbbdccdccaccdaadcaa
+abdabdcbbcaabdcccccaabcccadbcdacaaacdadbbddbdddcdcbabcbdabdadabddabdcdaccbbaacdbaaadccbcbadaccbaaa
+dbabbdadabacccdaadbbbbaabcdcbaaadcdddccbdaabad
+cbcabdcccbacc
+ddaccaacbabcdcdaacddcbaabbadaccabddcdbadbcadabddcbccccccacadccadbbaa
+dabaddcbcbabcbababbabaaacbbbbddcacaccbbbdabbcdbdacbbadbbbcaadddadabbccabacddacaabcadcd
+cdccddbccccdacabac
+accccacadbcdcadcacbadbcacabaaabcbabdbdcaabdcabbddbcadbdacbdcdccaddcadaadcdbdbccacbcbbd
+dbbbbccbcbcdbbcaabbabbbcbbccaadbccaddaddcdddbddbdbabb
+acdbddadaaabcbbcabdbccccacbdcbbadcadbabcbaaacabccdaabcacbdbaaccdcbadacacacaacccbdbcddda
+dcbdbcddddabbaabcbdaccdcdacdcbddbaabddbbaacacbacdbcbd
+badcdbcaacaaabbabcabdacbadcabccdbbad
+adcacbbdcadcccabbcbbcbaaadabbcbdcdcddaacaddddabbadbabbccbbaccdcaabcbddbdcbbcbcccdababbadc
+bcadbdbdadcaabbaabbdbcccbababdadabcdddddacccadcabcaacbabacccbcabcddadcdbacddbbbbccbabc
+cbccabdcbdabdbdabbba
+bbccdabddadcccdcdbbccddcbcdadbacbcddabacbacbdbbacddacccccddaaacdcbdcdabaaabbdbdcdc
+bbaacacacbdcddbbcccaaacbcacaabacccaababcdddcabbbdacacbdbbc
+bdccdabdacbdbdadcdbdaadddbdcdabbabbbccbbacbcaabbacbdaaaccbaadaadadbcccbdbdaaccccaddbadaccddbbbdaaadbdacbccd
+caddbdacaccbdbaababcaaab
+ccabdaacadbbcababbcdbabaddbbaabcacbddabb
+bdccaacabddbccadbaabacbacabcdcbcbbdcccacddddbdadaaaccbadaddcddaddcbaddcd
+bbbcbdaaaacacdbcbccccdccbddcbaaabcadbcbbbcbabbcbddbbcdcbdaccddaaccbbdcddcbddbcdbbacaddbcaabddcccbbacadbad
+bcdccdaacddcccbaccdcaaddadadbbcbabbbacaadccbbddcbdcdddababb
+bdadbddddacbdcdbdcccbaccdbbadca
+caccddadcbbbcdbdbbdaacbaadabbabcbbdbbbbaddbbbadacdcaaddcbba
+addaccaaabdacaaadadcdccacaccabaccbaaacbaa
+adbbddabbbbaaacbaa
+bbddbcadbacadddaddbbddccabbabaddd
+abdbacddbdd
+adaabcddaddcaacabdbaaddacaddcadacbdbcbdcbbbddcdabcccccadcaaadbdcabdadbaccaabcddaa
+ddcadacdacbcdcabc
+cbdbbddcccaadb
+bddbadcdacddbddbbbddcaccdab
+ddbbbbdbbbccdddacbaacbdcaddcbddddaadacdbdbbbaabbcdbbbddcccbabdcbbbdbbcbabdadddccbabcbcbcdbbcbadbc
+dccdaccaccdabdb
+cacdabdabbcbbcdbbbdabcacbcaabbcd
+adcbbcddaacddbbaccddddbdd
+bccaacdbabcbcdacbdbdaddadab
+dcaddacbbdabdbcadddadadcc
+aabcdcbacacbacdaaaaabaccadcabaccadcaacacdaccabbacdacdbbaadacbbcadcddddbdbdbddacc
+abaacdbaaaacbdcdcbcaaccdaacdbca
+dcbacaabddadaadbaabbcacacaabacbaaaaabcbcd
+acabaacdaadbdabdabcadaaa
+abbdbbdadccbadbbbddcacdddaabbcbbbcccdcaababdbbbcabddddbccdccddcdbdccbaadca
+ccbbdcacacdbdbaadbcdbdddcacbbbaaddd
+bacdcbaaabacbcdddbdcaccddaa
+cbaddabbbcccccabdabbadcacabbbcabdaccdaddacdacabcddddc
+abababbabadbaacccbccabdccbbdcabccbaaaaabcacacbacbbbdadbbddbacbbddbbbbadbaccabbcaaddccdacbcddddcadda
+cbcaaaaddbbcddabcbbdcbbadcacddccbcbaac
+cbccbddbadbdccaadadcdcbdaaaccaadabbbbbbbcaacadbbbdcdbabadcacddbdccbbbdcbcaabcdbdcabbbadddddaadbadaacdcabccbb
+ddaacbcdccccadaabcadacabbbacbacdbaacaacccaadacdadbdcaacbbcaadbcccdbaacacacadaaaa
+dcbabcbbbcdbcaddbcdcdbabbcbbaddbabaaaacccadcaddbbb
+babaabbcddbcbbcbdaabccdbbadccbadbdbbddcaadaccdabbbccbccbaccadbdbdbcaaaca
+cdbacacbdccbdbbcccadaabcad
+ddbbbcbaccbbcbacaacaaaddcdaccccdaccbabaddbccdddcdaadadabbbcbbdadbcdaabaabcabbaacbcd
+ddddcdcbacbddcdbddcdcccdbadbbddcbbbaccccddbbcabbbaabdbbcbbbbdbbcbcababcbaacbdbaaaaabadddadbccaad
+dcdaaadddcaddbadaadbccbaddaabddbbaacb
+dadbdddaaccaaacccabacadbaddaabaaaadaccbbbdbbaaaacdbaabdbdcaaccbcbaccdbdabdcbbbbacbcddcccbddddaccbacaaca
+cdddcaaddbbacd
+abccaacddbdddaabbaaccab
+ccbbcbbcdaacdbdddbdbccacddadcbbcdcacbdbcddbbbdcbddbcdccdcaddbdbdcccbdcdccccdccdaaabcabcdbdddcdabacb
+cadbddcdacabdbccacaac
+aadacdddcdcbcbadbcaabdabacacdccdbabddbbabbdbbadbcad
+cbbaacaadcbaddcaccccbbcddabcaccabbaabbbcccabababbbbbababcbbbccddaacbdd
+bcccacacbaacdabbcbddbbacaadbddacadaccadcdaaadbcaabddbcabadbcddacca
+cbcbcccddddacbdaccbadbdb
+dacaabacbbcdadadbdacbbddaacac
+bbcbbaaadcaa
+178 24
+cacccbbabbbabaaacaccabacbabb
+baababbcbcabacccbabbbcacabacacbccccabbbabaabbbcccacccabccbccbccbbcbcbcbcccbcaabbacbbb
+aacbccabbbaacbabbabbcaacabababaccbbaaccbbacbbaabbcbaacbcc
+cabbbabccacbcabbbbbcbbcbaabbabacaccaa
+abcbcababbcbbaccccabccabcccbcbcabbcaccababbaccbcbabbbcbcccaabcaccaacccacbbabaabbbbccacbbbcbbabbaaca
+bcccccbacacacbabbbbcabbacacabcaacbaaacb
+bacabbaabbbababbaaaaccbabbbabccbacccab
+ccabcabcbbcbabbacbbcccaaabbbbbbababb
+ccbcccccbaacbcabbbaaaab
+aaaccabbbacbabcacbabcbaabbbbcccbaacbcaaabaaabbbcabcbcaccbabacaabaacbbcabccccabbbbbaccabaccaacabbcba
+aacbabcbbbcacbcbacacccbcabcacaabcaacabbcbbbbccbbabcbbbcbcbccbbbaabaabaacabaabaabbbabbc
+acbcabaabaaccbcccaabaabcbbcaacacbcbcaabcbcbabccbcabbaaacbbaccb
+bcbbcabbaabbaaaaabccbbcbcacbcbacbccacccaccbacacbbbcacaacbbcababaaacaabcaa
+aacccbcacabababbbaaababcacabcaaaabcaccbaccaabaccaacccaccccbaabcabbacccaabcacaaccca
+acbbcaacabaaabccacaabccbbabbbaccacb
+baabcacbcababaccccababccccbbccaababbbcabbabcabcabbcbacaaa
+ccaaacccabcbcccbcbabbc
+cbcccbabcaabacbccaccacbcabbbbcbaba
+accabaccccacabbcbaaaabbbacabccaaacabbacbacccbbcbbaacbbccbbabaacaacbabbccbbcbccbacbcacc
+cbaaccbcacabaaccbcbaabaaacacbcbbaacbcababbacbbcbcbcbbba
+cccbbaabbbcaacbaccacccaa
+abbaabbcbcbababbacbbcbbbacbcbcaaabcaabaababaabaabcccacaabccaaaab
+accbccaccabcbbbaacaaaaabcabaabbbcbccacacaaacacbbcccacaccbbacbacbccbcbccbccbcaccabaccbcbaa
+aababcbacaccbccabbaaabbbbbcaaaaacaaaabaaabcaabbbbbabcbccbabcccabbbccbbaaaacbabbabbac
+bbcaccabbccaabaccbcacbcbbbcbbccbbccccacbabbaacaacaacbbcbbaaccbabbacababbaccbbabcb
+cbbccacabacccaaaccac
+acbcbacbbcaabcbabbbcbbaabaaabcabbabbccccccacbccbcbcaacbabac
+cbbcababaccbacccbbaacabbcbbcacbbbbcacbbbccaabccaccaabccbcbabb
+bcabbcccbccbbaaaccaabacccbabcaabbcbbacbaccccbbcaaaaaaabcbacbacabbbccbacacbbbaaacbabcbb
+aaabcaaacabccbaaaaaacbaaaacbcaacbbabbccabaccabbbccabbccaabbabcccaaaaaaabbaaabaaacbcaabbaaaabcaaaba
+bbbcaccbbabacbcbccbaccbccbcccaaacbaaacccaacbbccbbccaaabcabcccababbbbabaaaaaacbccbbcbbb
+aacbbbcbacccaaaaacbacabbcbcabbcabacbbcbcccbacbcbcbbccbaacaaccbbcbcbbacabacbbaccbcbccbcbaabaacaaba
+acbccbbcbbccbaacbcabcabbaabbbbbcaccacacccbcacccbccaabbbccccbaacabbacccbcbccbbbbccbbccacbbbbbacbabbababbb
+acbababbcbcaaaabcabbaccaccbbbc
+abbcbbccacaccbcabaacbabcbcacaaabcbbcbb
+cbbabaacbcbaaabcabcbaacabccacbcabcbabaccccabcbabbcbbbcbaa
+cbcbcabcbbbababbacaaabacacbaaaabacbaabacaaaacbccbbaacccabccccbaaa
+bbaaaaacccbccccabaa
+bbaacabaaabababbbabcaccaaaacbaabbccbacbbacaacbccaccbcbaabcaaccaccbaacbbaabbaaccc
+bbbbcbaabbcaaaccbaacacaaaabcbcabaaacbcbbbccbccababbccccaabaabbaccabccaabbccabcaaaaabcccc
+cacaaacaaacbcbb
+accaacbaacabacbcbbaccacccbcccaacaccbbabccccbcabcbabcabcacaaabaabacbaabcbabcabcaaccbc
+babcabcbacbaacbbbbbb
+bcbcbacbacabbcbccbcacbaaaabaabcbcabaaaccccbaacbbaccbabaabbcbaabacbaaccbbbbbacabcb
+bbaabbcaaaabacccbbcbcbaab
+ccacbabbacabcbccccabbccbbbacccbccaaccbcbbbaacabbbbccaaaaabcbc
+acbacabcaccacaccbaaccaccaababaacabacbcaacbabbbccaccbcbbbbccbcabbccbaabbccccacbacccaacbcacacccbcbacaaabcbaacac
+ccccbbbacabbbccccacbabbaaccccaacbcacaaaaabcabcacaaacbaaacccbbacbbcaacaaabbbbbbbcabccbbbbaabaccabca
+bbacaacababbbabccbbbbbccaabaaaaabbaaaacaaacaaabcabcbcccaaabcccbcb
+cbbaccbccaaaaaacbccbabbacaacbacccbcacbcabcbcbcaabccabccbcabbbaabacbccacccacabcbccbbbabcbaaaaabcacbccc
+ccacbbbbcbcacaaaacbaabbbaabcacacccababccbcabaabacacabccbbccccabaccbacabaabacccabbcabac
+abccababaccbcacaacaccaabbccbaabaacab
+ccbaaaccbabaacbbbbabaacacbabcaccbaabbbbbcaababbaccbcbabcabbababcbabacbcacacbbaaabccccaaa
+ccccacbcacccacbcbaabcccccaabaacbbaacbacccbbccacccabbaccbcbbaccacbbbcabcbccccabbcaccabbcaacaccabbccbcbca
+abcbcbccbbbaabcabbbacbcbcaababcacabbbaaabbaaaabbacacbabaa
+cccacacbaabaaaaacbcccccbaacbbcbcabbcbcaabaabbccb
+acccaabaabbbaccbbabcabaabccbcbaccabaacbaacaaacbaabbcacbacbcaaacabbcbcbaacacbbbaacccbba
+bccbbbbcabcabcbabbacbbcbabacbabcbccccbbacbaabaaacabbcbbacaaacacbcaabbabbcca
+acabcbbcccaaccaabbcaaccacbcbcccaabbcbabccacbcacaabcbccbcccbbaacbabcbbbabbcccacbccbbbccbccaaabccacbccbcababbaa
+abaccaccbababaabccbcabcbccbbbaaacccacbccccacbbaac
+cbabbcababb
+acbaacbbaabc
+caacabbabccbbcccbacacbacbcacbcbcccbaabccabbbcccbaab
+abbcaaaacbbccaccacbcabbacabbcccbaccbabccc
+bcccbcbccbbbaa
+acccaccaaacbcbabcbbcaccabbbbaaacabbc
+abacabccbccbbccaaccababaccabccbbaccccaccaabccacaa
+abbcaabbbacbcabcabaababbbaabbbbaacbccbccbccbacccabaacccaaabbb
+cccaccbbcacacaacccacacabcbbbabaaacbacaabcabcbbabacaaabccccaaabcbacacbcaacbcbbbbbabbbabaccabaaaaccbccaacbbbcac
+aaaccbcbcbcaccacacbbaaabbbcbabbbccbcbaccababaaaaaaacacbcaccbccbcbbbbabccabbbccccabcbcbcaaccbbaccaaa
+abaababcaaabaccbaccacbcabaabaaabbabcccccaacabbbccbbabcbbacabbbcaaccbabacaabcbaccbaccabaccba
+bcaccbccabbabbbaaaccccbbcaacbbabbbbbcabbbabaabbccaccaab
+bcaababbbabccbaaccbababbaaaaabbaccbbcbcaaabaaacbbb
+baaacacbbbacccbbababbbbbbbccbabcaacbcabcacaaccbbbcab
+abbaabaabbbccabcbcbccacabbbbabaabbcbcababcccaacababccaaabc
+abcbbbacaaaccaabcabbbbbaabaccac
+acaccbabbbbcabbbabbcbcbacbbaaaabbbcbbcbcbbcbccbabcbbccaccaabacbcbaaaabbacabacaccaaaccaaabcbbca
+acbabcbccacaabcbccaaaaccabaabaaaabacabccaabcbbbbacb
+abcabaccacabbaccabccaaacccbcaccacbabbbcaccbac
+cccaabbacbbabacbaaccabaaccbbcbacaccaaabccbbcbabccbb
+aaccabbccbccccbacbabbbbacacbccbbaabcbaabaaaaabaababbbb
+acbbcaaabbabbccbabbcbbbbaaaabbbcbcacbbbbbacaacaaabbbbcabbbacbcaaababaabbbbaccacacbab
+cbcccbbccaccbbacbaabbccccbacacbbbcccccbbccabbabbcaabbabbcbcbbcabccbbccbcbaccaccacaacccaaccababccacccacccbaaac
+bcccabbacaababcbccbabbcaaaccacbabcaaccaccacaacbcbcabbcacccaacccaacbacaaccabbcacbccacbcabcabcaaacbaabacccb
+cabcabcbcbbaacbbacccaacabcbacbabbabccbccbcccbbbbbcabababaaccbaabaacccabbcbaabbbabacaacaccbbaabbcaba
+abcbcccabbbbccbccaacbcbcabaaabaacaabacacbbcccacabbbbcababaaccbcabaccacaabcaacabbabcbbcbbbccb
+bccabccbbacbaabbabcabbac
+aacacbccbbaabbabbaacbacbcbbcbaacccbabacccbaaaaacacabcabbbaabbccaccabacbcbb
+cbbcbababccaabaaacbbbbbbbbbcbbccabb
+cacbbabcacabbabccbbbcccbcbcbbbbbaabaaaacccaccccbaabcbccbbaacbcccbaabbacaaabbbbbbaccbacbaabaaaba
+aabaacbbbabcbabbcabacabcbbaaaccaccabaccaacbcbbaacaabcaaabbccabbbccaaaaccccbbbcbbcacbbbcccbabbbabaabbaabcbaacc
+cbbbbbcaccbaaabcacacccaabbabaacbccbaabaababbcabbabbcbbacacbccaabaacbabbcabcbaccbcbbcacaaa
+cabbbcabbcbabcbbabcabcbbbacbbcccbccbcabbcbbccbcbcabbcbcabcbcaacaaaaabaacbaab
+aaacbcbabbcbcaacabcccbbbbccabbbbabbccaabbbaabcacbbcbabccbccbcbaabbccbcaba
+baacacaccaaabcabbabaabcaacacbbcbacabcbccba
+acbcbababbbbacbabbbacabbbabcbc
+cbbcababaabbcaaacacbccaccaccbbbcbabbbabbccaccabbabbaabbbbcababcabbcccca
+bcbcababcccbabccbbababccbaaabcbababaaccbabaaccbbaacbb
+ccbabaacaccbbabbcbcbacaababbbabcaccccbccbbbbbaccbaccbcaacbacaabbbbaccacbacbbab
+ccaccccbcabaabcaaacccbabbbccbcaccabbcabbcbbabbbbbcbcbcccabbaccbcbabccbc
+aababcabccccaabbbbbbbbbbccacacaaacacbabccaacbccccccaaabccccbabcaabacbcbbabcababbabaaacccabcccbacbbccabcccbaba
+caccbbaaaaccbaabbccbaabaacbaaccacaacaacaaccbcbaabacaccbcbaaaaabbabccacbabcccbcaaacacabbccacabb
+cbaccabbaacabacbbccbccbbcacbbaaabaabcbccacbcabaacabbbbcbabcaaaaaaa
+cabacbbcbacaacbbccbcaccacbccbbbaabbaacaccaaaaaaacbabbabcbbcacbbab
+bbbacbccaccaccaacbaabcbcabacab
+cbccaacabcaccacbcbabbacaaccaabcbbbabbbcabbbacabaaccbbbcbbcaaacbccaabccacbcab
+acccbaaccabbccaacaccaabbccbbabcbccaabbcaabcbbbbcccabbbcacbbababccbcccaaaababa
+aabcabbababcbbcbbbbaccbbcabcacccbbcabbababcacacaacccacccaaccaabccccbbbbaaacaabccaabbcbacbcbababccbbba
+cabaabcbbbccabbbbbaaacccccabcaaabbaabbccacababbbabccaacacbabacbababacbac
+bbbcacbbcbcabaabbabcbcbacccccababccbbabaaaacaaccbabbacaacccabaccbcacbaabacbabbaab
+aacccccabcacacababcbcaaacccccaccbbbcababcbbccbcabbccbacbcbbaccabbbcbcbcabaacacbbabccacbccccbbcacabacb
+bcbccccaaaccabaacbbcbacacacbcc
+cccbccbacaabcbccabacaabcacabccbbaaaacbbcbaaabb
+acacabbbbccbb
+caabaaccbacabbbbaccacbbabcbacaacac
+aaabbabbcababacccabccbbbbbbacabcccacbbacbbabacaabacbbcba
+bccaabaaacbabacabbbcacbaccccbbcbcaabacbaabbcababacbcbbbbaccbcaaabaccabccbbabbbbacacaaccacacaabb
+abcabbbabcabcbbbccccaac
+acbcaccaaab
+cacbabacaacaccbcbbaaacacbcbcbcbacccaacaabbacaabbacccbbacbccacacbbab
+abcbacabcbcccccabbaabbbaabbbbcabbaccabcbbacccaacbcabacbaaaaaaabcbbbbbabbbc
+cbbcbbaaacaaccabcaccacaaa
+cccaccaacabccccaababacaabbbbcabbcbbaaccbbabaaaabbcac
+babcbccbbaacbaccbccbaccabcb
+aaccbaaabbb
+caabacaacbcbccacaaabcbbabbcabbccacababcacbccbcbacacacbacacbbccaca
+caabacabbacbcabcaaaaaaacbabbcaccaaccbabbcacbbcbaccbbbcbbccacabaaaabcaaaaba
+cacccaaabacacaaacac
+baacccbccacbcacbaaaccccbcbacbcccacbccabcccaacaabaccacbaacabababcccccbaccccccabaac
+acaaccababccbcbabbbbcbccabbccbaabaccabcaaacabbbbbaabcabacaccabaccabbabbcbccbaacccbcbbbcb
+accacbaccacacacbaabaacaccaabbcaccbacaabc
+babacbccccbaababbcccccaccbbbbabbacbbcbcbacbbbcacbcbcaaaaabcbaacccaaacaaacaccaacba
+cbbcaaaccbbcacaacaabcaaaacccccbbbcbaaccccbbcbc
+aaccbaaabbabbabaccbbbccaccaabbbaabcccbacacccacbbacbccc
+abbcaabbccacbccbaac
+bccccccacbbccaacbabbacbbbcabacaacccccababcabcbacacacccbccabcbbbc
+aabaacabbaaabbc
+caaabcacbabcbbbbbcacaabbbbbcabacaaaccaabacaabcbacabbbaaabbcbcaaaca
+cabaabbcabcbbcbccccaba
+cbccacabaaacbabcababcbbbacaccaccacaabaaccaabccbbcacbcbaaccaabbcacbbcaabccbbcaa
+aaaacbbabaaaabcacbcaacbabbbcabccacacabccaaacacccccacaccbabbcaabbaacacaaabbcaacacccaaac
+bbbcbbaabbbccaaccabbaaacacbbbabcccbbbbaacccb
+aaaaaaaacbcabaaccbcaaabaccbcccacabbaccabca
+acaacbabbccbbbcbbcabbccaccaacaccbcbbcccbbbbbbaabaabccbabbbcacbccabacbaccacaaaacbcabcabbcabbbabcabaabaccabaacb
+cabacbbbcbccccacbcaababcacbcacbb
+baabbababacabaccabbccbcabbcbbabbcccaabcbcbcbccbabcccbaaabccccbccccacbbbcbcbbaaacacbaccacaccccacab
+aabacacacabacccabbaabcbbbaabbbaccaabccaccbbbcbabcbcbaaacacaccacbacbab
+bccabaaccbcbbbbccccbbaabaccbbbccaabbbbbbaaabacbbccbabb
+caaacacaacbacaccaccbabacbcacacbbabcbcaacbccbabbabaaaaabaab
+ccaccbaacbaaaabbabbbbcbaccccaabbcbcaccccabbaaccca
+caaacbaccbcabcbcccbcaaaaabcacaccbbabbaccccccacacabcbbccbabbabaccaccccaacbccaabbbbccab
+cccacbcacbabbabbccabbccbbabbbccaabcccaacabcbbaababbaca
+aacaabbaacaccacbbbabccaab
+bbcabccccbbaccabcabbccacbabbccacbcaaaabbbbaccacccaabbbbcabbbbcbccacababbcabccac
+caabbbbabcbccaacaabaaaaaaaacabcbbbabcbbbabaaabbccbbbcaabaacccabbcacbcabccaabcbbbbcacaabcbbaaccacaacb
+acacaaabcbabbc
+bbcacaccaccbcacaacbaacaaaaaccbcbcbaaacccababbaaccabbbbbccaabaaacbcbbcabbbbbcbaccbb
+aabcaacaacaacbbbaaacaaabaabbccaccacbacbabccbcbcbccaabccaaaabccbaaabccaacaccbbbabaaaacc
+bcccacbbaabaaccbcbbabbcaacbbaccbbacbcbcaabaabcaacabbaccbacaaccabccbbbbbcaccbcbcbbcbc
+bbaacbababcbcbababcbababbcbaababccbacbbbbcccabacbbccbccbccbbbcaaabaabbbbcbabcc
+acacbbcacabbcbcbccbbcabacabbcccbcbbacaccaaacabbccccaacbccaabcbccaaaacccbbbabcababb
+cbbaaacaabaabbabccbaabbcabaababcbcbbaabbaacabbbcbcccbaaacbbcacb
+ccaccaaacccbacbacbbcbcccaabcacbacabababcabbaabcbcbabbabbbaabcabcaabbabccacbbacbbcacbaacbabbaacc
+cbbabababcaacbcbccccccacbcccaacaaaccabcbbaaaaabaaacbcabbaabccbacaabbbcbcacbcbacaba
+caaabcabbbcccbcabacacbbabaacacacabacaacababacbacbaacaa
+accbcaabaccccacbbbcbcacbacacbaccabaabbbbaaababbcccabcbcc
+caacbaacbcacbcbabcaaacabcbabbcccbbcacbcbcbcac
+aaacbcbabacabbbaabaccbcaaaccbabababbabbaabcccaccccabbacbbbcbabbaaccccacbacbbcababaababcbcbcaccbcababacbcabab
+abaabbacbabaacccbccbbccabaabbaacabaabbbcbbacbabbabacacb
+abbabaaaaacabaaabacccbbbbabbcacbbababcbbccabaaccabcaacccccacaaabbabacacababaccaccaabcacbbcb
+aacbabbaabcbaaccbcaabbcaaabccbbccbbabbcbbbcbbcbbabacacbcbacaabcbaccbbbaaacaacbcacababac
+aaabaabcbcaaaacbccacaaaabcbccbabcbc
+aacaccaccaabccacaccacabacbacbcbbababaccaccaacabbcccbabaacbabcacbbcaabcbcbcaabbbbaacbaabcaabaaccbcabbbbcc
+aaaacccabbbabbcbbabaabaccaacaaabbccbcaacabbbccacaaabcbcbbbacbcacaaabba
+cccbcbacbcbbbbcbaccaccabbccccacabaccabcacbcabacbcacca
+cbcbbccaacbcaaccacbaaaabbbccacaaaacccbbcaaccbba
+cbcccababbbccbabaacbcbbcaacaabcabccbccabacbcbaababcccacaacbbcbabbabacbbaabcbbbaca
+bacccbbcbbaccbcaaacaabccbbacbbbcabbaaccbccacbaaababcabcbbbacacaabcbbbabaaa
+140 44
+badbabccbccbbdbcbaadaadddbbccbabcbaaa
+dabbccddadbcadabdaadbadccbcccdccdcaccdbdbdcaacabccbcdacabaadaddadadcbdda
+baccacbcccbbabbcccaaaadcdbbcbcdcdbdcbccbacbdd
+dbabdcdbaadbbdcdaaddcacccbbabdacccdbbdcaaccdcabbdbbadcdacbaacdaddaaccaddaa
+bdadbabcadcaaccccccabccccacbbdadbcbdaaaaaaacaccddcdabccddbdbacdbcbadda
+dccbcbbcaaaabaabbcbdccdabbbdaacbcbdbdcdaaccc
+bdabbbabccacabdcbbaabccaddcbadadbccbbdbbccdccdaaaddcbcddbcabcbadcbdaadbbaacadbabccdcc
+bbadaabcada
+abddbcaadccadcdccbdbabadacaddcabaccaabbcdbcbcadbdcddacabbcaaddbdbcbddaacbadcddbbcdcbacdaaacbbbdabdacb
+cbaaccccbcddddadaaacacdcaabbbcdcbbaabbccdbcadabcddaaccaabbccddbcaaadaccbdadbdcbbbbccdabaabaaacdbadcabdccdb
+acaccdcccdaadcbaabbabbcbccadcdacabcbacbbccddccdcdbdacdbccdbbbababacbbcdbdabc
+badcbabbcdcaccdcbdaabaccccaabacaacccdbcdcaccbccbabaaaadbba
+bbcbdcadbdbbadbadbbaaabaabdbdabbcaadaaac
+cddbaabadbbdddbdbdcbbabcdaacddaddbaadcaadcdadadbaacdcdbcaddaacbbbcbaadbdcdbbacbdbccbbcccdcbdddccaabcaa
+dbbdcbcbaadbadcbbaabdadbbdddcbdadbcacbdddccbcabbdddc
+addaabdcdcbdbcabacaddbccbccdaaddbcbacbdbbbbdbbdacabaa
+bcbcdcaabbcacbdddbcbcacabdccdcdbadbddabdacdcdbbdbbbcaddaacdaaaadddbbcbcdadcaaddadbcbbbddacddad
+ddddbcaabccbddcccadcacccdcdacadaabbaacabbddcbbdcdcbbcbbbcacccaddadabcccacbcddadabadbcdbbd
+adcabdcabbdddcbaaabbdbcaabca
+bcdccbcddbdabdcdcbcdcabcccbcaacadcbdbdbdadadbccaabdabbbdbd
+dbbcbacbbdbdaabadbdbaaabdadaccaabddaabdaaabadddbcdbcbacbcbbbaabc
+bbaccccdddccaaabdccabdabbbdcbdabb
+aaccaaccbdcabcadacdcacbcbbbacdaabaabbbbddadbbdbcacdcaccbcdadadbddbdda
+dabbbbdcbbacdacbdcaccbccdabccbcdaadbacbadadcacbcacbdacdccabadbcbccccddcbbcbddaaabbadbbaadacacccbddbddbcbad
+abdbccbaaababbcaabb
+daacdadcdbaacddbabacbcabddbaaccbbbcccbcbbdddbdbaabbcddadadacadcbcbdacaabbcacabbcbb
+baddbdaddbddbbaaadbdbddbbadaadbbadcbdbbacdbbdbadcdccacdcabdbdbadabbbabbcdbadabaaabadddddabbbb
+ddadabdbcabcabdbbabddb
+daaadddacaccadcbcddcdaadbdccaccccdccacbaccababcabbbccacdccaccdaacdddcdccdbdcbbcccdba
+bccabcadabcdcdcccdbabdbcbaacddcaabbcaaabcaccdcaddadbdddbccccbbabcaaaabacaccaacdbcdcbacbaadb
+cddddacbdadccbdbdddddcccbbdddaddbcdbccadbcbbaadadbcbbbccdad
+bbbcbcadbdcbbbaaabcbcbbabdadaaababddaaccaddacdbbabddaaababbbcabccdbabacaadbbdabddbbcacadadad
+bacadddcaaddcaabbccdcabaabdccccbacaabcbbbbcbcdcaaabccbbddaddcbdbcdabbaaccbcdcadacaddbdaadbacacbacdbbbd
+ccbabbdcccbdbabadbbbdcdabaadaabcbddabdacabccccbbda
+ababbbababadaaccabaccdaacadadbccccbdbdaaddcdbdaddcccdcdbcbcbdabcadbdadbcddbdacbcddbdddba
+cdddbadcbbcadbbddbdbcc
+cbcbddbbaacbbdcdacdaadccbddbacaaaddaddbdcabdbababdadbdbbaadadbaaadddcddbadcdcbccacacdaccddb
+dcabbbcdaadddbcbbcdccbbcababdadaadacddabbaadcaaaccbabbccaaacabcaadacaccddcaabdcacdadcd
+accadcdbbdbdc
+addabdddaaadccbccbbccdbbdcbdbbdccadbabddaa
+dabdabaabacdddaacdccaabbdadbcbbdcdacacaddaab
+abadbdcdbbccbbcbbbcaaabddcbcbacccdcbabddbaacdcddcacbdacbdcabdaaaccaadbcdcabcccdadcdaabadddbcaadabcdd
+abadbbbcabcaaaadacbdadabccadcdacd
+bacabdacdabcbccbbaddbcadcbbaabcaaaaabadddadcddaabbbbbbdbadddbccdbbcdacaaadaabbbbabbddccaddbccbddb
+dbcdddccccbcbabdcaacccbdcbcdbcabdcbdbbbcbccabacbaababddcdbcabbdbaccbbbcadcbdcdacbbaaacabbdbbbdddadcbbabacbd
+ddaacdcbbaadcdba
+dadcacbadacadcbcabbddbcdbbaacbcddabdcccdddcbaddabdbdcbadccdccccbcbbcadcdc
+cacbdcccbadbbdaacdaacaabddcabcbddcdbdbbbaaabdcbddd
+cadddddcdbcbcdcbbbbcbcdadccadaddbcadbd
+cbccacbadcbdcdcaddcaccdcccacbbbcbcbdcccaabddbdabbada
+acdaccbddbbaccadadbbadbcadabdababdabccd
+bcdbadcaadcaddddbbabbabcdcdbadcbccadadaacbdbadacacbccccaabbdcababbbbcd
+cccdcadcaacbbbdcacccdbabbaaab
+caabaccdabbacaabddaacabcdbbcdcbdbbbadcdcdbdadbbadbbbbaddcabbbadcdacacdbaccdcacbccdbcddbadbdbdbadb
+cddabdcdcccaacdddcdacbcddcdabccacadabbccadbdadbbacdbaddccddbddddbaddcbccaaddacabddbadcbadbab
+abbbdbcbacbdddddbcacdbabacdddaababbdcbdbbcacccccbccaaacab
+dccabbdaaadbbcacbbdcddbdcbbcbcabcbdbddcdabbcdbaaabccdadcaadcadb
+dddcccbcddbacbbbbabacabbaaababccbcdabbdabccabacabcbcaacabaccdbddccdbaabacdcbcbddaadcdcdcdaacddcdcdbacdaa
+ddcccddbdccddccbaaabdbdcbbbcabdbacbbabdadbdddaabacabcbdddcbbcdbcdcccddccdcbdbdacadbaccbbc
+abaabccaddbaccaccbddcbabbcbbc
+bcabbddabdcccdbbabdaddbcbdcbdbbccbbbdbcaaacdcadbdcccccccbbcacbdbdcbcabcaabaac
+dbadaacabcccacdbddbabccdcadcadbacdabcbbdacacabdd
+bcdbbbcbdddaacdbbbabcdbadadabbbdddacdcacbabdabdccddbadcdba
+cbdbcbcddadbbcdaabbdddadaaccbdaacccacaddacbddccdbcdbaccadbdbaacbcadbabccdbcbccdaccbb
+dbbcbcabcbcadcadaddccddadbbaaaddaaccaabbcddc
+dabadbacdabdcaacadccdbabbbddbabaababbddcacc
+acddcaabcdabbcbbccdcbdbcdcabadabadbbdaddbddcaccccbcabadd
+adccbaabaddcaaacababccbbdaabaaabdababacccccbcadadcdcbbccdcdacdcdbabaccabdcaabdadcdbdabddd
+dbaaccaccccdccddacaaabcadacbdb
+dccadaaccaadccadcacdabcacdbaacbdcdababcddaddbaddbbadaabadcaccacbbdccdbcabbdbaabdaacdcbaadcdbacccdda
+accdddbcdbbbadbadbdbadccaabadcbbaa
+ddbbdbddababdcbbadaddbadddabaacdcaddcc
+ccdcbacacaabdaddbaddcccabaabccbbcbdcaaaaabbdbaaadcaaca
+cbcaadbcaaaabbdbbdddcdbcdacababcacbbaacbcccabcdaccc
+aaacabdaccaccdbcaacddaccccddacdacabccdcbbdbabdbcabaaddcdbdcbaaaabcacdddccdadccda
+dbdcabddcdcbcdccddbdcccbdaabadbbdacbbbabdccbccdcaabcbabbdcaccabbba
+cabccdcdbbcdaccdacaadbbddbadccbaaabbbbcdccccbdcbacad
+aadddacddbadddbcdadcdc
+aadbbbdaabcbcccdcadadbddcdacaacddacbabbccacdaccddcbcaddbdbcccacbcadbddaaccbbbcbadbaadaaadbda
+bdbddbbcbabbcbcccbccadcbacdcccbabadddbcdcbaddcabacccdcccbdabaaaaabdcbbbdb
+caaccacacccbcaddca
+aaabddbcdbdbaadbcdcbdbddaddbcddabcdaacccbbcbcad
+caaadacbabcbcbacbbcddbccb
+acdabadbbbbbbdaacdddbaabdbbbddddaadbadcaadaddaabbabbaccbdaabcdddbcbacbbacbabadccacabddabddccd
+adcabacdcaadbcbacddaabbbbdbbaaadadbdbbdbdccaaacbddadcdcccddbcadcccccccbbabbabcaaacabbbdbca
+dbbcababcaacbcababbcdadbcbadbbccdccdcbcdcdbbadadcbdcbbbcbcddcbcdccdddacabbadccaabadbdaa
+adcbddbbbcbaacbdbaddcbbcdbaddbcaadbadbbacddbbdddcbabbdcbccacaacba
+adccacadadddbdbccbcdbddabddbddbaabbbabcccccdccaac
+bbdbbdbbdbdabdacbcabddababdcaadaababdbaaddbacdbbddccbbadccbaccbbcaddabdcaadbadddddcccadaccdbabdbbd
+bdadcdacdaccabdbbbdbaaadbaacdbdb
+bbbdcdbacbbbcdaadabbdbbababacddbadddacdcabacabdaaccbabbdccadcabbabcabddccababdaccccaadb
+cdddacdacacadccbdaddbcbabbdab
+dcacbdbcbbaacacbcdaaadcabbabaaaaccbdaaadadacbcdbd
+bccdbcccacdadbadacbaccaccdddcbadaccdcbaaccbdcbbbcabdaacd
+dddbbbdddababdadccbadabddacaacddddadacddcabdbcaadcbdacddbdbccadccaadcbddbdccaabcdcabbd
+acaaadbaba
+bcbbaabbbaabaaadcbcccadbbd
+dabcabacbb
+bcbccbcccdbabacabadbcabdccaacbccccbacddcbabacdaadccddaccddcadcbaadbddccabcdaabaadaabdacdadaaaaabdbabbadabd
+bbddaddbcacdbcdabbcbbdabdbadabaaaaac
+bbbcbdcdadbdcdbabddcbcbbbccbcbbcaabadccdbcaabaa
+badbcddabcaabbbbabaadccbaaddbbbdacbacabbbababdaacdbdcacbbdbdbabccaabaabadcbc
+aabadcdbdbbcabbadbcdcddddaadbabcaccbcbcabaddbadbcbcabdbcbdcdcbdcaccaaadcabbcadacdbbbaaacaabdbbdd
+adbbbdddbcadabbbacdabdddddcaaddbbad
+daabdcbcaddbbcbaaccbccbbdbdcbccdbbadddaacbbcabdaddbdbccdbacdcbdbbbabcdcabdaaabbaadacaaabbbdd
+ddbcbacaababbdcdbbddbcccdadbacdbcabcdabcbaacdbdbdcbdadacdadaaccdbdaabaacbaaddddcbdbacaccacbdacdaadabdaba
+ddddaccbddbcbdadbadcbdc
+cbabcabccdbcdbcdccbcddcbadccbccacdadadcadaadadcdaacdbdddbbdacacdccdd
+bcdccccbbdcdadbadcccabcdabadac
+bbadcdcccbdaaaadabbcbbabaabaccccbadaadcbd
+bcddacaddcbbabcbacabcdddbbaaadcddcbcabaaddddbacdaadabcddbaccbdacccacccaabdcbddabbcdddccaab
+abcacbdbbbdcabdaccccbabaabdbdacbdcbcbbdcdadcabddcacbcacbdcdaadddbacacccdcccbcbddbccdcacdadddb
+cdcbbadabccbcabacacbcbabdbbcdcccaaaccbaaaadba
+cbddbaadcbccdbbcccadbbdbababcbcabbdcbccbbbbbbbabdadbdabcdcaaaccdccadadccaca
+aabadcdbcddaddcbbaccbadccddaaacadbcccddcccabdccacaddabbdabcacabaccbddcddbcbbbcbcbbcbacbbaaddbda
+cdcccaadcacbcbdaccdbbcbacacbdacddddabcccabbddaabcbcbadccbdddbdbac
+daaacaccbacdaaddbcbdaacadddadacbbdbadadbabdbbdacaaccadadccbaacbdcaccccdaacaccbaaabaacbcbbcaacaddddddbbb
+bbcbcbbacbcadccbcbbddadadddbdacabbdadadccaacbacbbabadbcddcbbaccdcbab
+bdaccbdbdaabacaaaddcbdcccbacbcddabadccaa
+dbddbddacd
+bbcdcdccdbcdddabcaaaaddcdabcccaddbbbdcbcbacbbcdbbbd
+bcabacccabdcdaacccddb
+acacdddacbabacddabcacddcdbcbaacbdcbccaccbdbdcabcb
+baccaaaaaabbddcbcdbaaadbddaaaaadcdddcccadcbacbdbcbcdababaddacdaadbcac
+babddadcbbdccbbadaacadaaaccddadbbabbbcaabcdbdbcaabaadaddcbdbadbccabbdaabdbdbbaccbdaadbbadc
+cacdacababccbbacdbcaacaadcaccbbacdaddcdbbabdcadcddaabcbbbdaddccaabccdbbacabccbbaaa
+adcbddaacbcdcacbadaaadccacbacccdbdbacadaccdcdabaaadaacdaaccbbbbabccdcaaabdacaccdcccaab
+acddaaaabcaabdddbbdaccacbcccbadcddaaadabcdcaadbcbabdadaabaabcccccadaabacdbbcccbbadddcbbbddbbacbacabdcbbbcbd
+bdbddbabacabcddbcddabccbcdcbccdddbbabadcda
+bbadbdbccccaabccbdccddbbccddbdcaadbddbbdbbbbcabdcccb
+bcaabacccbbcaccbcabaadacbdcbaabdbadaccbcabbabbbba
+aadbaaabbdbdbcbcacccddbabaacacccbaccbbdacabcbcabdbcabadcaabdbcaaa
+cbacacaddabdaaaddadbadcabbabacdddbcaaababbdcbadbcadabccdcbacdcdaababdbadadacdcadbaadadbdacdabbbdcddcbaab
+bccbbbcabbbbadbdaadcadaaac
+bbdcddbaabbabddbadcbcdddbbdccbacbdcbcaa
+bcaabcabaacddcdbbdbbbcbcbddcbccacbccadbbcbddcdbaadddaabdbbdcabdbaddddc
+adddbaccbccddc
+cabdaaccdbccddbaadadbbdcbcbddbbabbdcadbcbacaddacdabcbcabbbcddbbbbddacbadc
+bbbdacdcdaaaddaadaccdddcbabccbbdadaccabcddbcddbabbcadbabbabbccdbbaabcaaaaccdcddddadbacadbcc
+abacdddccdbadccdbdabcddcbbcbabbbbbadbacbadbacbbdbbccddaddd
+300 60
+bbaaaababaabbabaabbaabaabaaabbabaababbbabaababababbbabaaabbbaaaabbabbbba
+bbbaabbbbaaaabbababbbaab
+bbaabaaaaaaaababbaaaabbbabaabbababaaabbabbaababaaaabbbbbbbaaabbbbbaabbb
+abbbbbbabaabaababbbaabaababbabbbaaabbbabaaaababbbaabbabbbbbbbabaaabaabaaaaba
+abbbaaaabaabbbbaabbbaba
+babbaababbbabbaabbbbbbabababaaababbabbabbbbaabbabbaaaaabaabbbabaaabaabaaabbabaaaababbbabbababaabbbabbbbbaaa
+ababbabbaaabaaababbbbabbbaabaaaabbabaabbbaabbbabaa
+babbbabaaaaaabbabbaabbbaaabbbabbbb
+babaaabbaba
+aaaaaaabbabbababaaabbbbaababbaaaabba
+baabaaaabaabbabbababbaaabbbbaaaabbbbbaaaaabaababbbabaababbabbbbbbbbaaaabbabbaabaabaabbbbaaaabbabaa
+baaabbabbabbabbbabaababbabbabbaabaaababbaaaaaaa
+bababbbaabbbbbababbaaabbbaaababb
+bbaaabbabbaababbbbbbaabaabaaaabbbbaabababababbbaaabbbbbbabaabaabaaaaabababbbabab
+ababababbbbaababbbbbaabbaaababaaaabaaaababbbbaaabbaabababbaaaabaaabbabbbbbabbaabbbaaaaaababababba
+bbababaaabbaabaabbaaabaabbbaabbabbbbbaaaaaabbaaabaabbaaaaabaaaabbbbabbabaaababbaabb
+aaabaaaaababbabbaabbaaababaabaaaaaaaaaabaaaaaaaaa
+ababaababb
+babbbbbaabaaababaaabbbabaabaabbaaabbbbbbbbbabbbbaaabbababaabbbbbbaaabaabbbabababbaabbbbbbababb
+ababbabbbababbaaabaabbabbbbabbbabbabaaabaaaaabaababaabbbbabababaabbbaaabbabbbabbababa
+baababbbbaaabbbaaaaa
+ababbbbbabbbbbabaababbababbbabbbaaaaabbaaabaabaababaabbbaaababaaaabbbaab
+ababaabbaabbbabbaaabaabbbabbbaaabaaababbabbabbbababbbbabbababbbababaababbbb
+aaaabaaabbab
+aababababba
+bbaabbababaaaaabbbabbaaabbaaaabbabaabababbbbbbbaabbbbbbabababaabaababbbbaababbbbaaaabbbbabbaaaaabbbabbba
+abababbbbbaaaaabbbbbbbbabbbabaaababaaaababaabaabbabaaaaaabaaaababbabaabbbbaaaabababaabbbaaaaab
+aaabbaaaaabbbaabaababbbbabbaaabbababbbababbbbbabbababaaaaaabababbbabbabaaabbaaaba
+bbbbaaaabaaaababbbbababbaaabbbbaaabbbabbaaabaaabbababababaaababbbaaabbababaabaabb
+abbabbaabbabaabaaabaaaaaaaaabababba
+aabbaabaaababbaaaaababbbbaababbbabaabaabbbbabaab
+baaabbbaabbabababaaabaabbaaaaababbbbbbbabaabaaabbaabaaabaab
+baabbbababbbbaabbbaa
+babbabbbaaabbaabbabbbaabaabbaaaaabbababbbabaaaababaabbbaababbbbab
+bbbbbbabbbaabbbbbbaabaabababaabbbbbabaabbbbbaaaaabaababbb
+bbbbaabbbbbaaababbbbbbbbbbabaaaabbaaabaaabbaaaabbaaaaaabaaabaabbaaaaabbabbabbabaaaabaabbbaaabbbbababaaab
+bbaaababaaaaabb
+bbbbbbaaabbbabbaabbabbbbbababbbabaabbbbbaababababbaabbaaaabbbabbabaaaaabaaabaabaabaaaaaaabbbabaaabaab
+bbbababbabbababaaababbbbbbbbabbbabaaaaabbabaaabaabbaa
+bbabaabaababbbaaabbbbabbbaaabbbabaaababbbabbaaabaabaabbbaabbaaabbaab
+abaaabababbaabbaaab
+aababbaaaaabaababbbaabbbbaababbbbbbabbababaaa
+aabaabbabbbbaababaaaaabbbaaaabaabbababaabbbaaaaaabaabbbabaabbaaaabaa
+aabaabaaaaaabbbaaaabba
+ababaabaaababbbbaaababbbabbaaabaaaaabbbbaaabbabaabaabababbab
+abbbbbabbbaaaabbbbbaabaabababaaaabbaabbaaabbbabba
+aabbbbababaabbbaabaababbbaabbaaabababaaabbbbbaababbbbaaabbbbbabababbbb
+abbaaaaaaaaaababbbabbbbabbaaababaaaaababaabaababbbaabbbabbbbbabaaa
+aabbbbaaaabbabbababbaaaaaaaaaaaababbabb
+bbbbaaabababbbbaaabbbbaaababaaabbbbbbbabbababab
+aabbbbbababbabbabbbaba
+bbbabbababbabaaababbaabbbabaabaaabaabaabbabaaaabbaaaaabbbbbababbaaababbbbbbabbaaababbbaaaabaaab
+abbaaabbabaabbbabbbbbabbaabbabaabaabbaababaababbbaaaaababbbbbbaabaabbbabbbabbaaabbbbababbabb
+aaaabababbababbbabaaabaabaabbabaaabbabbbaaabbababaabbabbaaa
+aabbaabbbbaaaabbaabababaaaabbbaabbabbaaabaaaabbbabaabbb
+babababbaaa
+babaaaabbbbaaababbaababaabbb
+bbababbbababaabbbbaabbabbaaabbabbbabbbbabbbbbbaaaabbabbabaaaabbaababbbaaababbbbabbabbaaaabaaa
+bbaaaabbababbbaabaaaaabababbaaabbbaaababbabaaababaaa
+bbabbbababaaaabbbbbbbbaabbbbbbbaababababaaaababbbbbbbabbbaabbbbbabbaaaabaabbaaabbbaab
+aabbbbbaabbbaaaabbbabababbbbbbaababaababbaabbaba
+aababbbbabbbb
+aababbbabbaabaabab
+abbabaabbbbbaababbbbbabaaabbbbabababbbaababa
+bbbbabbababbbaaababbaabaaaabbbabababbbaaabbbbaabaabaaaabbaabbaabbbbabaabaaabbaaaabbaa
+bbabbabbaababaabbaabaababbbabababaabbabbbaaababaababbbaabbababbbbbabbbbaabbbabbababbbaababbaaaaababaabbabb
+babbaabbbaaabaababbaabbaaabababbbbaabaabbbaaababbbaababbbbaababab
+aaabbabbabbbbabbbbaabbaaabbabbbbbbbbaabbaaaaaaaabbaababbbabaababbabbabaaaabbbaaababbabbb
+bbbbbaaabbaabbbaabbabaabbbaabbbbbbabaaabaabaabaaaabaaaaaabaa
+abaabaaabababbaaaab
+aabaaabbbaabbaabaaababaaababbababbaaababbbaaaababbaaaabbbbaaab
+bbbaaabaaabaaaaabaabbbaabbbabbabbaabbbbbaaaababaaabaabbbaabbaaaaaaaabbbbbbbaaaab
+baaabbbbbbabbaa
+aaababaaababbbaabaaaababaabbbababbbbbaaabbaabbabbbbabaabaabababbbbaababbabbbaaabaa
+babbaaababaaababbbbabaabaaabbabbbbabbbababbbabaaabbababbbaaabaabaaabbbbbbbaaaaabab
+ababbbbbbabaaabaababbbabbbabbbaaab
+bbabbbbaababaaaaabaabaaabbbbaabbbbaababbaaabbbabaabaaaabbbaabbbaaabbbaabbbbababaaaaaaabbaaa
+baabbaaaabaabbbbabbaaabbaabbbbbbbbaaaabaaabbbaaaab
+bbabaababbabbaaabbbbbabbabaabbbabaabbaaababababbaabbabaaaabbbababbabababaabbabaabbbabaabaabbaa
+aaabaaaaaaabaaaababbabbaaabbbbbbabbbbbbbbbababbbabbbbabaaabbaababaabbabbab
+babababaaabaabaababaaaaababababaaabbb
+aabbabaaaabaaaabaaabaaaababbbababbbbababbbaaababbaaaabbbbaabbabababbbbbaabba
+baaaabbabbbbabababbbabababbaabbabbbabbaabbaaabaaabaabababab
+baaaabbaaaaabababbabbabbbbaabbbbababababbaabbbaaabaaaaabbbabbbbbbaaababaabaaababbb
+abbaaababaabaaaababbaaababbbabaaabbbbabbaabbaaaababbaabbaaabbbaaaaabbabbbaabbbaaabaaaaa
+aaabbaaabbaabababbabbaaabbabaabbbbabbaaaaaabaabbaababaaaabbbbaabbababbb
+bbaabbbaaaaaaabbbbaabbabbbbbbabbbaabbaabbaaabaaabbbaabbabbabbababbabbbbbbaab
+aabaaabbaababbaabbbbaaabaababaaaabaaabababbaaaabbabaaaabb
+aababbaaaaabbbbbbbbaabaabbbbbbaaa
+aaabaababaaaaababbabaababaaabbbaabaabbabbaabbbababbbabababbbbaaaabbababbaaaaabaaaaabbaaaabbaba
+bababaaabaabaabbabbbabbaaaabbbbbbbbaabababababbaaabababbbbaaabaabbaaa
+babbabaaabbaabbbbaaabbbbbaabbbbbaaabababbbbaaabaabbbbbbbbbbbbabbaaaaabbababab
+aaaaababbbbbbabbabb
+bababbbbbbaa
+bbbaabbababaab
+bbabbaaaaaaaababababaabbbaabbbabbbbaababbb
+bbbbaaabbaaabbabaababbaab
+bbbbbbbabab
+abbbbbabababbababababbaaaabbbbaababbaabaabbababaabababbbaba
+abbbbbaaabababbbabbaabbbbbabaabaaababaa
+aaaaaabbbabbaaaabaabbabbbbbabbaababbbabbabaabbaababaaaabbbbababbaaaaaabaabaabbbbababaaabaababbbababbaaba
+aabbaaaababaabbaabbabbbaabbabbbbbabbbbbababbaaaaabbabbabbaabbabbaaaabbaaaaabbbaa
+baabaababaabbbabbaaaaaaabbbabaaabbaaaabbaabaaabbabbbbabb
+bbbbabaababbbabaabbaababababababaabbbaaabbababbbbabbaaabbbaaabaaaaaaaabbabbbbbabbbabbabbaabbabaaaaaa
+bbabbaabbbbababbabbbbbaaaaabbabaaaabbaaabaaa
+baaaaabbabbaaaabbbabbaabababbbbaa
+bbaababbbabaaabbababbbbbbbbaaabaabbbbbaabbaababaabbabaaaabbbababbaaaa
+abaaaaababababaaabaabbbaabbbabbbbbabaabbbaababbabaaaaabbbbbaababaaaabaaaaaaaabbabbbaabbaaaaaabaaabbabaaab
+aaaababbabbabaaabbbaabbaaababbaaaabbbababaaaabbabbbbabbab
+babbaaaaabbbbbaaaaabbbbbaaabaaabbaaaaabaaaababababb
+babbabaaabaaabaabaaababbabababbaaababbaababababbaaabbbabaabbabbabaabaabbaabbaabbaabaaaababbaaabaababa
+aabbabaaaabbbbaabaaabbaababaabbaaabbbaaaaaaaaabbaaaababbbbbabbababbaab
+aaaaababbaabbbbaaaababaabbaaabbaaabbabaabbaaaaaaaabababaabbabbaab
+bbbabaaabbbaabaabaabaabbbbababbbabbbabaaaaaabaaababbabaaa
+aababbaabbbbaabaabbb
+baabbababaabbbbbbaabbaabaaabababaaabbbbabbbbbbaaabaaabbbabbabaaababbbaaababababbbaabbabababbbaaab
+aaabbababbabaaaabbbabaabaaababaaaaaaabaabbabaabbabaaabaaabababbaabbabbaaabbaababaabababbaababbababb
+bbbbabbaabbabbaaaabbbbbbabbbab
+bbababbaabbbbaabbbbbbaaaaa
+babbbabbaabababbbbaaaabbbbaabbabbbabaabbbbaaaababa
+abaaaabababbabab
+aabaabbabbbaaabb
+bbabbbbaababbbaabbbaaababbababbbaabbaaababbabaaabbbbababaabbaaaaaaaaaaabaaabbaabbaaabaaaabbbb
+abaaabbaaaaabbabaabbbbaabaabbbba
+abbabaaabbbaaaabbbaaabaaaabaaaabaaabbabbababbabbbbbbaaaaaa
+babbbbbbbbabaaabaaababbbaabbb
+aaaabaabbbbabbaaabbbaabbbbbababaabbabbaabaababababbbabaaabaabaaababb
+aabaabbbaabaabaaaababaabbaabbaabaaabbbabaabbbabbb
+bbabbbbbaabbaaaa
+ababbaaaabbaabab
+ababbbabbaaaaaaaabbbaababbbbababbababbbabababbaababaabaabbbaababaabbabbabbabbbabbbabbbbabbbbabbbbabbbabab
+aaababaabaaaabaabaabbba
+bbbbbaabbababbabbabbababbaaaaabbbabbaaaababbaababbbaaabababbababbbabaaabbbbaabbbabba
+aaabbaaaabaabbabbabbbbbbababbabaabbabaabbbaabababbbbaaaaaaabbbbababbbabbbbabbaabbbba
+abaaababbbbaababbababaabbbbaababaaaababbbaaabaabaaabaababbaba
+bbabbaababaabababaaabaaabaaabbabbb
+bbaabaaabbbbbbabaaaaabaabaaabbababbabbaaaaabaaaaabababaabbabbabaaabbbbabbbaa
+ababbabaabbbaaaabbbabbbbaaaaabaaaabbabaabbbaaabbabaabababaababaaaabbbaaabaabbbbbbabbbbababaabbabaaaaaaaba
+bababaaabaabbabbabaabbbbaaaabbbaaaaaabbaaaabbaaba
+bbabbbbaababbbaaabbbbabaabbaabaaabbbaabbbababbbabbbabbbaaaabbbb
+abaabaabaababab
+babaaabbbabbabbabababababaaaabbaaaba
+aabbababbabbbaaaaaabbbbbbabbbbbabbaabaababaaaaaaaaaaabbaabbab
+babaaababbabbababababbbabaabaabbabaabbabaababbbabbbaaaaaaaaaaabbbabaaabaabbababbbbaa
+aabbbbbaababababbbaaaaaababbaaaaaaa
+bbaabbaabaaabaaababaaaaaabbabbabbaabbabbbaabbbbbbaabaabbaabaaababbbaaabaaaabbabbaabbaaababbbaaaa
+baabaaaabbbbaaabaabbabaaaaaabbbabaabababaabbababbbaaababaaaaaabababababbaaab
+abbababbaaaaabbbabababbabbbbbbbbbbbbbaaaaabbabaa
+bbbaababbaabbaabaaaababbbabbabaaababbbabbababababbaaabbabbbbbaaaaaabbaaa
+babbaabaaabbbaaabbababaaabbababbbbbaaaabaabbbbaaaaabaababaaaabaabaaabaabaabbaabbba
+aabaaabaaabaabbbabbabbaabbaabbbbbaababababbaaabaabbaabbbbbaabbaababaababbbbaabaababbb
+bbbababbbabaababababbabbbbababaaabbbbabaab
+baaababbababbbbabaababbaaabaabaaaaabbbaababaabbaaabaabaabbaaaaaaaabbabaaabbbbbabbabbabbabaabbaaaabaabaaba
+abaaaabaabbaaaabaababbaaabbbaaababababbaaabbaa
+abaabbbbaabbbabbbabbaabbbababbbabaaabababaaaabbbaabababbbbbaabbabbbabaaaabbbabaaababaabbbaabba
+bbbababbbb
+bababbbbbbaabaaabaabbaabbaaabaaabbbbbbabbabbabbbabbbbabbbabaaaaaabbabaaaaaabbbbbbaaabbbabbaaaaaabbabaaab
+aabbbbabaaabaaaababbbabaaabbaaabaabbbabbaabbbbaababababbbbbbabbbbbabbbababaaabbabbbbbbbabaababaabaabbaab
+bababbaabbabbabaaabbaaabbaaaaaabaabaabbbbbaababbabbbbaabbaabbbaaaabbbbbbbabbbbbbbaabbaaaaabaaabababaabb
+babababbabababaaaababababbbaabbaaabba
+aabbbbabaababbbababbbbbbaaabaaaaaabbaabbabbabababbbbbbbabbbaaababbbbabbbabbbbabbbbab
+aabaaababbabbaababbaabbabaabababaaaaababaaaabbbbabaaaabbababaab
+aaabaaabbaabbbbbbbbbbaaababbbababaaaababaaabbbbbbaaaaaaaaba
+baaabbabaaabaababbbabbabaaabbbbbbbbababbbbbaabbbabbaaaabbaabbababbaaaba
+aabaababaaabaabaaabbababbbbaabaaa
+abbaabaabaabbbabaaababaaaaabbbbbabbbbbaabaaaabbbbaababbbbbbbbaababbabbbbababbb
+aabaaaaabababbbbbabbabaabaaaabbbbbbabaaaaaaaabbabaaaaabababbaaaaabbbbbabaaabbabaabb
+aaaaabbaabaabbaaabbbbbbaabbbaaabbbaaaaabbabbbaabaaabaabbba
+abaaaabbabaabbaabaababaaababaaaabbaaaa
+baabaababaabbb
+abbabaabbabbbabbbbbaaabbaabbbbbabababbbaabbaaaaaaaaaaaaaabaaaabaaaba
+bbbbbbaababbabbbbbababaaababaaabaabbbabaabaababbbbabaabaaabaababbaababaabaabbbbbbaabaabbaabbbbaaabbabaaaa
+baabbabaabbbabaaaabaaabaaabbbaabaababbbab
+aababbabbabbabb
+aaabbbbbaabbaabbbbaaabbbbaaaaaaababbaaaabaaabbaaabbaaaaabababaabbbabababbabbaabba
+aabbaabbbaaababbbbabbaababaaaabaababbbaaaabbaababaaabbbbaabababbaaaabaababbaab
+aabbabbaaaaaaa
+bbabbabaabaaaabbbbbbbbbaabbaaababbbbabbabaabbbbaabbbaaabbbaabaabaabbabbbbbbbabbaabbaaabaaaabbbbabbaba
+bbabaababaaaabaababaaabbbbaababaaabbaaaaaaabaaabababbaababbbbaaababaaaabbbbabbabbabbabbbbabbaaaaaa
+babababaaaabbabbaaababaabaababbababaaaaaabbbaabaabbbab
+bbaabaaabaababbbaaaabbaabbaaaaabbbababaaabaabbbbbaaabbaaa
+babbbbbabaaaabaabaabbbbbbaaabbababaaababbaaabbbbb
+babbbaabaabbbbbaaabaaabbbaabbaabbaaababaaaaaaabbababbaabaaaaabaabbabbaabbaabab
+bbabaabbbaaaaaaababbbbaababbbabbaabaaabbaa
+ababbbabbbaaaabbbaaaabbbabaaabbaabaaaabbabbbaaaaabbbabbbabaaabbbbbabbbbbba
+ababbaababababaaaabababaaaaaaba
+abbabbbabbabbbaaabababbbaaaaabababbab
+bbbaababbaaaaaabbaabbbaaabaabbbabaabbbbaabbaaabbbabbaaabbabaaa
+aaaaaaaababaaabaababaabbbabaaaabbbababbbaaaaabaabbbaaaabbbaaabbaaaabaaabbbaaaabbbaaabaabbbbaaababababbaaaabaa
+aaaabaaababbbbbaabbbbbbabaababaabbaabbbaaaaababaababababbaaababaaaaaaaaabbababbabababbaaabba
+babbbbaaabbabbbaabbabaaabbbbbbabbababbbbaaaaaabbbaaabaabaababbbaabbaaabbabaabbbaabbbabbabab
+aabababaaaabbaab
+aabababbaaabbabbabaabaababaaaaabbaaababaaaaababaaaabba
+baaabbaaabbbbaabbaaaaabbaaaabbbbbbabbaabaabbbaababbbaaabbbaaabbabaaaaababaaabaaaaabaaabbabbbaaaaaaabbabbaaaa
+abbaabbabaaabbbababaaabbbaabbaaaaaabbbababaaababaaaabbabaabaabbbaaababaabaabaaaabbaabba
+abbabbabaabbabaaabaaaabaaaababaaabaaaaaabbbbbaabbbbaabababaaaababbbbbbabbaaababbbabb
+bbbabaaaaabbababaaabababbbaabbbba
+aaaababbaabaaababaaabbaabbbbbbababababbaabbbaaabaaaaaaa
+bbabaabaaaaaabaaaaabaabbbbbbbabbaababbbabaabbbbaabbababababbbbababbabbba
+baabbabaaabbabaaabbaaaaabbababbaabbababbbaaaaabbbaa
+aabaaababbabbaabbbbababbaaaabaababaababaa
+aaaabbbbababaabbbbbaaaabbaaabbbbaaaabaaabaabababaabbaabbaabbaabababbaaabababaabbaababaabaabababaabbbaaababba
+aaabbabbabaaabaabbaabbabaabbbbbbbaababaaaabbbbbabbababbbbaaaabbbbabbabbababaabbbbbabbababbababbababababab
+abababaaabbabbaababababaaabaaaabbaabbaaabaaababababbaaababbababbaabaab
+aabaaababaabbbaaababbabaaaaaaabbababbbbbaabbaaaaabbabbabbbbaabaababbbbbbbbbabbbb
+bbaaababbbabbaaaaabaaabaababaabbbabaabbabaaaabbba
+abbbbbaaaabbbbaababbbaabbbababbbabbbbaabaabaabbaaabaaaaaababbbabbbaab
+aaabbaabaabaabbbaaabbbbba
+abbaaababbbababbaabbabbbb
+baaaaaababaababbbbbaaaaaabaaaaababbbbabbbbb
+aababbabbabaababbabababbbabaaaaaaabbabbbbaaa
+abbbaababbababbbababbbbaabbbbbabbbbbbbaababaaaaababababbaaabbbbbbbabbaabaaabaaabbaabaaaaababbaaabbbabbaabbb
+babbaaaabbbbabbabbabbaaabbbabbbbababaaabbbbabbaabaabaaaababbbbabbaababbaabbaaabbaababbaabab
+babbbaaaabaababbbbaaabaaababaababbbbbbbbaabbbabababaabaaaababababaaabbabaababbaababaaabbbbba
+bbbabbaaaabaaaaaabbabaaaaabbbbbaaababbaabaaabbaaaaabbabbaaabaaabaabbabbabbaaaababbbaa
+bbbabbaaaabbabbaaabababbbaabbbbabbbbbbbbbbaaaaabaabb
+baababbaababbbabbaabbbabbbabbbbbbbbbbaabbbaabbbbaa
+aaaaabbabaaabaababbabbbbbbababbaaabbababaabbaaaabbaabaabbbabbaaabababaabbaaaaabaaaaabbbaababbbbbbabbababaab
+abbbbbaabaaaaabbababbabaababbaaabbbbabababaaabb
+aaaaaabaaaabbbbbaaabaaaabaabbbbabaaaaabaaaaababbaaabbbaaabbaaabaabababaaaaababababbaabbaaaaabaaabbbbaba
+baabbababbbbaabbaaaabababaababbbbbbaaaabbabbbbbaaaaabbbabbaaaaabaaaaaabaaa
+aabaaaaaabbabbbaabaabbabbabaabbbababbabbaabbbbbbabbabaaaaabbabaabaaabbbaababbbbbaaababbbabababbaabbabaaaa
+abbbbababbbabababbbbbbaaabaabababbabbbabbbbbbbabaaabaababaaababbb
+bbabababaabbaabbbabbbabbbbababaaaaabaabaababbabaabbabababb
+babaabaaaaabaaaabaaaabaabbbaabbaaaaabbaabaaababbabbbababbabbabaabbbbabbabaabaabababbbaaabbbaaba
+abaabbaabbbbbbabaaaaabbbababaabbabaaaababbaabbbbaaabaaaabbbabbabaaaaababbbaabbabaabaabbabaaaaaabaabb
+aabaaabababbbbbababbabbaabbbaabaababbaaababbaaabbaaaaaabbbbbbabaabbaababbbbbaaaabbabbaabaabbbbbaaabbabb
+baabaabbaabb
+abbbabaaaaaabbbbbbabaaababababbababababbaaaaaaabb
+aabaaaaabbabbaabbbabbbbbbbaaabbabbbaababbbbaaabaaaa
+bbbbbaabbbbaabaaaaaaaabababaabaabaaaaaababbabbbbabaabbbaaabaabaabbabaabbaabaaabaaaabbbabbaaaaabaaababababa
+bbaaaababaabbabaaaaabbaaabbababaaababbbbabaaabbaaabbbaaaabbbaaaabbbbbbbbbaaabaaa
+baaabaaaabbabbbababaabaababaabbbaaabaaaaabab
+bbbbaabaaaaabbaabaababbbaaababbbaabbababbbaaabaaabaabababaaaabbbbabbaabbabbbababaaaaaababbbababb
+babbaabbaababbbabaaaaaabbbabbbabbbaabaaabbabaaaabbbbabaabba
+ababbaaabbbbbbaabaabbbabbaa
+babbbbabababaabbbba
+aaaaabbbababbaabaababbbbabbaabbaabaaababaabababaa
+aaabbbababbaaaaabaaababaaaababbaabbbababbababaabaabbbbaaaabbaaabbabbabbabababaabbba
+bbbaaaaaaabbbaabbbbaaababaabbbbaaababbabbbbabaabaab
+bbababbabaabbbbbbbabaabbbabbbabababbbbaaaaababbbababaababa
+aababbbbabbbabaaaaababbbbaabbababbaaaabababbabbaababbaabbbaabbaabaaabbbaaaba
+bbaaaabbabba
+babbabbbaabbaabbbbbbaababbabbabbbbaaaabbababbbb
+bbabbaababbaaabbaaaaaaabbbabbbbbbbbaaaababaaabbbabbbaab
+bbbaabaababbabbbbaba
+baababaabbbbbabbabaaabaaabbabbbabaaba
+babaaaaaabbabaababbbbaaaaabbbaabbbabbbabaaabbabbaaaaaaababbababbbabaaabababaabaabbaaabaaaabbbbaab
+bbbaabaabaaabbbabbababbaabbbbbbbbabaaaabaaaabbbbabbababbbbabbbabbab
+ababbaaaaababbbaabaababaaabaaaababbbaababbbbbbbababab
+bbaabbaaabbbbabbbbbbabaaaaaaabbbbabbbbbbbbababbbaaaaaabbaabbaababbbaaabaaaaabbabaabbbabbbaaaabbabbaaaaababbba
+abaaaabbbababbbaabbaabbaaaabaaabbaabaabaaabbbbabababbaabbbabaaaaabbabbbbabbaabaaabbbaaaaabab
+abaabbbbababaababbbababbaabaaababbbbbabaaba
+aaaababbbabaaaaabbaaaaaaaaaaaaabbbabbbaabb
+bbbbbaaaaabbbbababbbbbbabbaaababbabaabbbaababbbbabaaaaaaaabbabaabaaabaaaaaaaabbaabbabbbaabbbbaabbb
+abababaaabababbaaaaaaabbaaaaababbaabbbabaaaabaaabbaaaaabbaabababbbbbbabaabababbab
+aababbbbaabbaaaabaabaabbbab
+abbbbbbbaabbaababababaabbaaaaaaaaaabaabbaabbbbbabaabbbbbbbaaabaabbabbbbababbbbbbbbbbababaabbbbbabbbbaaaa
+aababbabaabaaaaaaabababbbaaaababababbaaaabbbbabbabaaaaaabaababbabaaaabaaaabbbaaaabababaaaabaabbbbaabbaaabbb
+bbbbbbababbaaaaaaaababbabbbbababaaabaababaaaabaabaaabababbababaaaaabaaabaabbabaaaaaa
+aaaabbaaabaabaaaa
+ababbbbbbababbabbababbbbababbaaabababbaaabbabbbbbababbb
+bbababaaaababbabbabbbaaabaaaaabbbabababbababaaaabbbbaaabbaaaabbbbbbbbaaabaa
+aaaabbbbabba
+abbabaaaaabbbbbbbaaaaababbabbaababbaabaaaaaaabbbabaabbbaabbabbbbabbaababaabaaaabaaa
+aababbbaabaababbaaabbabbbaaabaabaaabbbbaabaabaabaabaabbbaabbbbbbbaaaaaabbabbaaaaaabba
+aaaabaaababa
+abaaabaabaaaaaaa
+aaaaaaabbbbbbaabbaaabbaaaababaababbabababbaaaabaaabbbbb
+bbabbbbbaabbbbbbabababbbaaababbabbbbbbbbabbbabbaabbaaaaaaaabbabaabbbababaaabaaabbbbababaabbbbbaaaaabaa
+abaaabaabbbbabbaabbaababaabaaaabaaaaaabbbbabaabbaaabbabbbbbbaaabaababaaabababba
+bbabbbbbabababbbbabbbbbbbaabaaaaabaababbbaabbabbbabbaaabbbabbbbbbbaabbabbaabbbbbba
+bbbbaaaabbababbaaabbabbbaaba
+aababbaaaaabbaabbbabbaaabaaaabaaaabaaaababbaabaabaabbababaaaa
+abbbaaaaababbbbabbaaaabbaaaababbbabaaaababaaaabaaabaaaabbaaabbbaaaaabaababbaaaaabaabbb
+babbabbbbabbbaaaabaaaabbbabbababbbaaabaaaabaabaaaaababba
+abbaabbabbbaaaaaabbabbaababaaaa
+aaabaaaaabbaabbaababaabababbbababbabaaaaaaaaaabaabaabaaabbaabbbabbabbbababbbbbabbbb
+abbaaaabbbbabbbaaaaaabbaaabaaabbbaaabbbbabbaababababaabbbbbaaaaabbabaaaaabbababbbabbbabaab
+bbaabaabbaabbaabaaaabbbbaaaaabaabbbbaababbbabbabaaabaabababbaababaaabbaaaaabbbabbbbabbaaaaabaaabbaaaba
+abbaaaabbabbabbaabbbbbaaaabbbabbbaabbaaababbaaababbabaabaaaaabaababaaaaaaaabbbbbaabaaabaaababbba
+bbabaababbbbaabbaaabaabbbaaaaabaabbaabaabbabbbaabbabbbbabaaabb
+bababbbaaababaabaabbaabbbabbababbbabaaabaaababaaabbbabaabaaabaaaaababbbaaaaaaabbaaabbbabababbaaabaabaaaabbabb
+baaaababaabbaaabaabaababaaababbaabaabaaaaaaaaabbbbbabababaabbababbbbababbababbbabbbaaabbbbbabaaaabbbbbbbba
+aaabbabbaaabbbabaabababbbbbaabbbbbaababaab
+bbbaabbaabbbaabaaaaaabbaaabbaababbabbabbaabaababbbaaaabbabbbabbabaabbabbabbbbbbb
+aabbaaabba
+aabaabaaabbbbbabbbbbbbbabaabbaabbbbabbbbbaabbbbbbaaaababbbaabbabaabbbabaaababaaabaabbbbaaaabbaabaaabababbbba
+babbaaabaaababbbbbabbaaaaababbabbaaabaaaaabaaaaabaabbabbabaababbbbbaaaabababbbbabbababaaaaaaa
+aaabbaaabaabaabbabbabaaababaaaabbaabbbbabbbbabbabbaabbbbabbaaaababbbaababbbaaaabbaaaab
+bbaabbaabbabab
+ababbabaabaabaababaabbbbaabbbabbaababbbbaaabbbbabababaaabbaababbaabaabaaaababbbbbbaaa
+babaaaaaababaabbbbbaabaaaaabbbaabbbbabbbbababbbabbaaaabaabbaabaaaaaabbbbbbbababaab
+bbabbaaabaababbaaaabbbbbbbabbabbbaabbbabbbbaaaaaabbababbbabbaabbabaaabbaababbaaaaaababbababbbbabababbbbaaabba
+aabbaaaaabbaaabbbbbbabababaaaaaabbbaabbbabaabaabbabbbbabaababba
+ababbbbbbaababbabaaaaababbaabbbaabbbbb
+aabaabbbaaaabbbbbbbbbbbaabaaaaabbababbbbbaabaabbaaaabaabababbbbbbaabaabbbaabbabbabbbaababababbbbabbbbbbbaa
+bbbbaaaaabaabbaaaabbabaaaabaaabbbabbbabbabbbbaabbbbabaaaaabbbbaaababbaabbababbabbaabaaaaabbabbababbaabaaba
+abaaabababbbababaaaaabaabaabaabaaabaabababaababbababbaabaaabbbabbbaabaababbbbaabaabbbbbbbbabbbaaababab
+abaaabaabbabbaaaaabaabbbbaabbabbbbbabbaaabaaba
+235 156
+aacacbccacabbbc
+aaccaacbabacacacbaabbcababbcacaacacaaabbccabacbbccbbcbbabccaaacabbbaabcbccbbbccaaacabaacbbcbccb
+caacbabbabacacbcaccabacbcbbacbbcbccaaacbcbbbccbbcbacacabcbcbccccacbcabbcacaccbcacaccabbcbabcbcbcbbacccacbbcb
+cbccaccacbaabacbbbabbbabaacbbaccb
+aaccccbbaaabaaacacababcccbbbaaacbccacbccaaccabbbcaaacabccabcaabbcbcacaabcccabcbabaccbcaacbac
+cacaabcababbabcaaacbccacbaaaaacabcaabababcccbacabccbaccbccb
+accbbaacbabbbbabbccbbcacbcccbccabaaaabcbaccaaabaccbabaccbbbbabbbcbbbccccb
+acbbbbcbbbbbacbbcacbbbabcbbabb
+cacaacbcabaabbcacccbcaccbbbabbacababbbaabcacabbbbcbaacccbabcbccaa
+bacacaccbbbcbcaaaaacacbcacbbbabcabcabbaccaabbbbbbcac
+accbaacbbbbaaabcacaacacacccbabcccbacabcaabab
+cababaacbccacbbccacaacbabacaaacaccaaaaabaaccabaacbbcbbbabcbccacabbababbcbbccaacbababbabccbbccacccbbc
+acaaaccbbcbbcbaabcb
+bacacbbabbcbccabcbcbaaacccaabaaabaaccaaaaacaacbccabcacabcacaccabaaccaaacccabccbcaaabcaccacbbcaccabacbcc
+ccbcaaacacbcaaccabbbabcbabbabbaaaacabbbbacccbbcaacbccaaacacabbacccacbbbacbbaccabbcaacba
+cbbcbaaccbaccbcaaacbbcccbbabaabbcbabcbabaabccacbbcabaccaabbcccaababbcbacabbbaccbaaaaaaa
+acaabbbbaacaaccaabccacbacacaacabacaabccabbccaccabbcaacbcbcbccbbaccabcacacbbbc
+cbaaccabcbcbbbbacbbbacccbbcbbccacabacccaabcaaaab
+acbabcccacacacbbcccaccaccccaaaaacaacacbcccbbbcaaaaccacbacaaabcacabcaaacccabaabacbab
+bbacacccacbaacabbcbacaccccbaabbbbccbcbacacbabcbaca
+cacaabccabcacccabcaaabbbcbbcccbbcbbbbacbccacabbbcabcbcaccbabccbcbcabababcabbbbabbbccaacacabcabb
+cbbbabaaaabbcbbaaaccbaabbccbccaaabbccbcccbcaccabacccaaabcccccccacccabcabcacaccaabcaaaacba
+abaaaccaaabcacbbaaaabcbaccaacbccacbbaacacabccabcacaaaaaabcaabbcbaacacaabbbcacbbbbcabbbbcbacbbcb
+bacabbbaabcccaccaaabcacbbbbcaba
+bbacccaabaabbacabaaaaaaccbbccccbaaaacaababbcbbbcaaaaaacbbbcccbacbccbb
+aabbbababacbbcabcaabaababccabcabcabaccbabacaacabbabc
+bbcbcabaabbcbccacbcacbaabcccabcbbcaabccbcbcbcbcbaabcaaccbbcb
+bbbbbbccccbabcacaaaacbacccccccbbccccbccabaababac
+cbccbaabaccccccacbcbcbcbcbabcbcaccbbcccbcaccbaabccabacbabcbcabbbab
+acaabacbccbcacacbaabaaccbabbcbcbbccaabbbcbcccbbcccacaaaccccabcc
+aacabcaacbaaccbacbcbcbbacaaccbcbbcbbacaccabbacaababbbccbaccacba
+cbcabcabccaacacacbbbbbaaccccabaacbcabbacabcacbbbcaabaacabbbbabaacaaaaaabacbcabbaac
+cccbaaccaabababacaabbcbaacccaccacaabacacaabcabacaaaaacabaabcbbacccbbabbabbcccbcca
+acbaaaabcbacbcaccacbacaaccbbacbccacbabcbaaccbbbbbaacaccbaabbbbacbbaaccacbabaabcbacccabbca
+abacccaabcbaaaabbbcacacabacbcaaccbbbcbcaccccccbbacbccbaacbabcbbcca
+abccbbbbbcbbcbbcccaaccbacccbcbccccabaacacbabbcbaccccbbabcbbcabcba
+abbccaaabaccacccacaaacacbbbcac
+abbbacacccababcbcabbcbbbcaabbbaccacaacabcccaaaccbccabbbbcabccaacaccbacacbabbacbccbcbbcbaa
+ccacabbbababacbaaaabcbacbacbbcbabbacabbcccacbcbabbcbcacaccacabbbaccbbcb
+aacbbaabbbcccbbbaccacaacabbacabaacbbaaaacbccaabccbbcbcabaacbaaaabaaaccbcbcacbbccbcbacbb
+babbaaaababacaabaabbcbabbabbccacbbbbaacccacabbabaacaaaccccccaabcb
+cabaaababcabccbcccabbaacaaaacaabccbaaacccbaabbaccabbcacbcbcbcaaabacbacccaaaaccababccbb
+bbcaaabaccbaabcacaabccbcbaaacabcbbcbaabcbbccabccbbcaabbacacbcbcbbbbbbbcabacabaccccabaaababcacbbaaaabaabac
+cccccaaacaacbaabaacaccccaccaccabccabaaccaababcabbabaabbcbaaabbba
+cbcaacbaaaabb
+ccccbabbaacaaabacaabcabcaabbbcbacaccabbccccbcbabbcbca
+cbaabcacaaabacbcccbbaabcbacaaacbacbbbcacbaabbaabaaabcccbacbbacacbcabcbc
+bcbbabcbabbaacbbbbbabacbbacbacccaccbcbabbbaccaabaacaaabccccbbaaaccacbcccbbacaacccabb
+cbacbababbacaab
+ccccbaabbbbcbccaaaaaaccbabbaabc
+cbcccbaccbcccabbcbcaababcbcbabcacbba
+abcbccacaccbbbaabacabbcbabccaccabcbbcbccbbabacabccbcabbbaaabcbaaababaccabaacbbcbabbcbcaaacbbab
+bcaaabcabcaaacbbcbcacabcacacaacbabacacaababb
+abaacbabbabbcbbbbcabbaabaaccccccccccaacaaaabaccbcabcacccabccbaacaacacbcbbccccacbccacbcaa
+bbcabccbcccacbaacacbabbcbabcacbcbbaabacbccabbcaabbababcaacaabccac
+abcaaaacbbacbcbbbabcbababbbbcbccccabbccaaaaaacbccccbabccbbacccbaabbbbacbabbabbccaccbbbcacac
+abaacccabccbaccaaaaaabc
+caacacacbcbaaacababbbbcbbcccbaccaacbbbcaacccbccbbacbbba
+aabcbccbaaccbcccababaccabbcbcbbabcccabcccaacccbbbabaacbbbca
+caabbcbcaaaccbbcbacaabcccacbbccbacca
+aaccbacbcbabaccabaacbac
+babcbcabaaaacbbcbbcbcacbaabcabbbaacbbbbacbbccaacaacbcaaacaac
+bbaabacbcbacbacaccccbbcaaaaccccbbbbcbbbccacbbacbbbca
+aacbccbbaaaaccaaccccaccacaaabbbbcacaababbccbccbabbccaccaccbaababacaaabcacacabcbcaabcbaacbccbbcbb
+caccabbbcacaccabbbbcccacacbabccaaabacbacbabccbaabccbaabbcaacbaccccabcacccbbaaccccccba
+caabbcccbbcbaabcbbbabccccacccaababcbcabcbccabacbbbccabccbcabbbabbcbcacacbbaacaaabbbcbaaaacabababcacacaabcc
+bbbaabccbb
+cbcaaccccccbcaaabcaacaccbccaababcccacccccbaa
+bbcccccaacbcbbcaaccbbcccbcbacccbacaaaabbabbabbabaccbcbbbcabbacbacbacccccbaccabcbab
+cbacaacacaaabcabccacbcbbccaacccaacbcabbcbaabbbaaaabacbccbbaabcababcbbbbcababbbaccbbbaacaaccbcbcbacaaaabcb
+bccccbcaccbccbacbcccab
+cacccbabbabbabc
+bcaabcbbbcccbcccbcbacbbbbbbbbbbacbaccbbccbbaacbaccbabcbbaabcbbccbbabaabacbcacacccbaaccccaac
+acbbabbcbccaccbcccacbcaacbabaabccbbabacbcaacccaaccbbccaacacabcccaababaccaacbccac
+cacabcbcccaabacbbcbbbcacaabcbcacbb
+cbabccbccaabcababccbacaaabbbabacbcbbabbccbcacaaabbaaabc
+bcbbbbbaacabbccccabcccacccbabbcbbbbbbaaacbacaacccbcbccaabcccbabbabcaacaaaccbbcc
+abcababbbbabbccaaccaabccaccbcaccccbccbcaabacaacaa
+cbcbccabbbb
+ccccababbaacaabbbccbacaaccbbcccacccbbbacbccccbccacabcbaaabacbbbaaccbbcccbbcacaacaacccccabbaabca
+abcaabaaccabcacabacbaaacbbaaccabaccababbaacbabbaccbcacaacbbbcbabbabcbbcabb
+ababccbcbccacbabababacbcaccacaacabcccabbabaaabcccbbcbbccbbcabacbbbaaacababbacbbcbbaaab
+ccccbaaaabbbbbacccbbaacbbbccaccbcaabcbacacccaacbaaacacabbccaabaabbbbbaaaccaaaccbbabcca
+baabacbaaccaacccbaaaaabbbabcaabaacbaaccbacbacbbacbbacbabcaccbbabaacca
+cccaccabbcacbbacbbbccbcaccacabbaabcbbab
+caacbbccacbbbabcbaabacbccbbcabbccbbaacaaccacccbba
+cbacaccccbcccbbccababccacbbb
+caccbacaacbccacabbcabcbcabbabacbaccbcbacacabacbbcbacacaacacabbbcbaccaaaccbccaabacabacbcccabbcaaaaacc
+cbbbacabcbacaacaccaabbabccbaccabbacbcaa
+cbabccbbbcaababcacaabababccacbcaabacaaac
+cabcabccbbaaacaabcbacbcccccabaabcbcbcaaaccbcaabacacbababbcccaacbbbbbccaaacbacaacb
+bbbabbbacbbcbacbabbaabcabababbcccababbbcacacbcabccaaacbcaaacaa
+aaabbcccaacbababbcbcabacbccaabbacbccaaaabcbaabcbbbcabbacaccacacabccbc
+abbcaabcbaccabaabcbbbbaacbbbcbabababaabcbbcbccabcbbaaccbbaabaabacbabcaccbc
+aaaccbbbcacbbababcacbababbbacbabacbbbacababcacbcbabcaccbbaacbcaacccabaaaaabcaabcaabaacacaa
+caabbbbaccbbcbcccaccbbcccccbbcacca
+caacacccbacbbbcbccb
+cacbbbaaccaacaabaccc
+bbbaabacbabbccccaccaabacacaacbaabccbbccaaabbbcaaaabacaaccaabbbbaabaabbbbbbacacaaaac
+aaabcbaabcaabbbccaacbbbbacaccacabbabacacbabbacaaccbaaacacbcbabcbbaaabcbbaabaabcaaccbccbb
+bbcaaaacccbcabccaccccabbaacbcacccbacacaabbbaaabaacabbaababbaab
+aaacabaccabbcacccabbcacacaaabcacbbacbcaabbcbbccbbbaccaabbb
+baaaccaaacabbabbabbbca
+cbccbcbbacac
+bbcbbabaabacbbbaaabbcabccbccaaccacbabbacbbaaabbbccbbcabbbacaaacbbbcbaabaaccaacbbbccbbaabaabacbbcabccbc
+aaaaccaacabaccabbcaabaacbbbbbccbbccacabacabbbcbbaccaabcaabbcccabbbbabccbcccaaacaccacccbcaccc
+bacbacabaabccccccbcabaabcbaaaccabbacaabacbbaccababcbabbccacabbcabcabaabbca
+abbabbbaacccbcbbbaccbbacbccbaabaccbcacbaccabcbaaaabcbbbccbabcbbac
+cabcccabccacaccacaacaabababacccbcabcbbbcaababaaabcabacaacbbbbcccccbbbabacccaccac
+cabbaabcbccaabacccaccbbcbacaaaaaaacbabcacbabaccaccbcbbcabccabbcacabacbbabaabccbbbaaacbccbbc
+cccbbbcaccccbccbacccabacbcacababcacaabcaabbbccbcaaacccbccbaabccacbabbaaccaccccbca
+bbabacbcbabbaccbbbccaacacbcbbbbaabcbabbcccccbcb
+bcacbbcacbaabaacaaabaabcbaccaabbcacbbccaabb
+aacccacbcabbabbcccabcaabbcaabbbbbbbbaaabbaabbccccbbaaaccacabbacabccaccbaacaccaabc
+aacbabbaaaabaacbacacabbaaabbbbcbcabbacbcaaababcccbaabbab
+cbcaacbbccbabbbabcbabcaacaababaabbcbbacaabacaabaccbbccabbaaccbbaaaba
+caacccbaaaaaccabcb
+cbbbabacbcccabbbccccbaaabcaacbabaaababacabaacaacbacbbbccbbbcabaaaacbabbcb
+bacabccabbababaccaaccccbbaababbbbcbcacacaaaacbcabababaccccabbaabcbcccbbbbaccabbaababaabababacccccacbc
+cccacabbccaaacabccaaaccbc
+babcababaccaaaaabccaabbbcbcbbbccaaccab
+caacabcabcacaccccaccbbcabbcbcbbacbbacaccbbcaacbabaccbbcccbccccbbaacabbabbbbbbbaaabcbbbaacabbcbbcab
+ccacbacccabccabbabbcbaacbabbaaaaaacacabababbacbcabbcbaabbacccccbabcaabcbacbaccbbaabcbbcbabaaacaacabaabcba
+bbbccbacbacbababacacbaabbacaccaabacbbbccabcccbbc
+cacbcbcabbbccbabababbcbbcaccaaabcacbcabcbabcabacaaa
+bbaccbcacbbbccaccbcbabbccbabaaaacbccbaabbbacccaabcaaaabcbcabbbbbabbbacacaccacbbbcacababcaacbccbaabaaaabcabccb
+aabbabbcabababcbacbccbabb
+bbbbacacccccbaacccbcbcbbaaacacacccbccbaaaacbabacbacbaacabbababbacca
+aacabaaababbcbcbabbaccbaababbbaaccbcaaacccacaaacacaacccbbacaccacacbacbbabacaacbccccabbbbca
+cacabcacacbacaabcbbcc
+bcacbbcaccccabbbcbcbbcccbabacbacbcaabcabbcababcacabacbcabcbccabcccabbcbabcbbcaabbcabcaabccbbccaaccbaccbb
+bacabccabbccaababcaccbbbbbcabaacabccbacbcaaccacbac
+ccabbcbaac
+ccaaabbaaaabbbaabcaccabcacbacabacbbcbbc
+acbcabcbabbccbbaaacccacaaaaccbcabacaabbbcbcbcaacbaacccbaaccbcbbcacacbacabbbbaccacc
+bacccabacaabcccbbbaabcacccccaaaabcabcaabacbbbaaaabaaccacbbacbcabbba
+cabababaccacacbcabcbaccbaaaabaaaaaaccabbcbbbbcbccbcabaccaaaababccbcbcabbcbc
+accbccbabcabcaccccccbb
+acaccbacccbabaabaacaacbabcaaacbbcaccc
+abbabccbcccbaaaabbacbcaaabaaabccaaabcbbacbcbbbcaacbcbabccbbbcaaaaccccaaaaaaaabcbbcaaabaabbbaabcacbcaacaaccb
+bbcccacbbcababaaccaababaccbcbbbabbcccccabbcbcacccbcbacbabb
+baaccaaccaabacacabccccbacbaacccacbaacbcbabbbbaaabcabcbccbcaa
+babbbbabbcbbcbaaacbbaacbccacbbcbacbccccccbacbaaaccaccbacbaacacbcbccabcccbbbcbacaaabccac
+bacbacccbacaabaccaaacaccabbaccabbab
+abacaaaabbcaaaaaabbcbaaaaabccabbaaaabbccaaaccbbccbc
+aabcbcabcccacccbaacbabbaabcac
+cbaacbabbcccbbacacabcabababcbcccaccaacbcccbacbcacaacbbcccbbbabcbbabcbbacbcccbcbcbbabbcabccaacacbbbaccabcccc
+bbccacaaacca
+abaacbbabbaacaccacaacaababbbccabcbbacbcababbbabcbababcacbcbaaabcabbacaababcbabbccaccbcaaabca
+abaabbbabbcbccbaaaabbbbaabcbbabbaccbccbacabacaabccbccccabaccabaabcbccabcbbcbabbacccccba
+cbcabcacabbbbbbacaaaacabbbabbcbacaaabbcabbacaabababbbbaaccacaaccbbcabbabcaaacacbcabbccbbabcaaacaa
+acbaacababaacaaaccbbabacacbcbaaaacbbaaabaacaccacacbbcbacaaabaccbbbbbaabcaabacbabaa
+acbacacabbbbcbaaaacaaacbabccaaababcbaacbbaccbabbabbcbbcbccbaacacaaacaa
+babacabaaaacabcaacacccabcabaccaabaaccacbacaabbcbaaabbbbc
+caaccacbcc
+aabaaccabbabcbca
+bacaccbbccbcababcabcabccacbbcbaccbabccacabcaccacb
+bbacbcbcbaabbaacaacbbbabbabcacbbccbccaabaabbacbcbbabcbcaccacabacbbabbcaabbbbbacaabccaacbbbbabbccbabbbbbbb
+ccccbbbbccbacbabacaabacababccbacabbababaccaacaacacccccaaccbcacabbbbccacaacbccc
+aabcaacccacccbbcaaccbccababbbbabbbbbbcbacaabbacccbbbbccbccaacababbbbaccbbcaabcaccccbacccbbccbbccb
+aabcacaacabbbbaccacbbabbcbcababcabbaaaacaaaacbbcaccbacbbaacbaababbaacbcaccaacaccbb
+cccbcbcbcaccaccaccabcaaababc
+acaabbabaabbbaccabababccaccababb
+abbaccaabcbacbaaacaccaaacaabaabbbcacbacbabaa
+bcaaaacbaaccbccbcababbababacccabcbbbaaaaccaabacbacccacabaacbabacabcaabbaaccbcccbaabaabababcbcaccca
+bbcbcacaccbcbccbaacbaacabccaacbacbcabaac
+cbbbccabac
+bbaaaabcbac
+aaaacaabaccbacbca
+acacacacbbccccbccbacccbcabbcbcaabaabacbbaaacaaab
+baacbbbbacaaabcabacbbaaccabacaccabacccccbaccbacbbcbccabbccb
+ccaaaccbacbcbcacbbacabacababbaacabacaaabaaccaabbccaabcaccacabababccbabcaababcbcbababcbcacbcbaccacbacaccacba
+aaaaababcbbbcbcbacbabaabaacbccabbccbbbbccabccababacccbbabcaacabbcaaccccabacbbcbcbacacacbacacbabccabaa
+baacaabccaccbccaaaccaacbaabccbaacbcbbacaacbbcccccccbabcabbcaababbccacc
+ccabbccaccaacaacbcabbbbcccbccacabbcabbbbbcaabaccbabcabacacaabbacabcbbbbaa
+aaaaacacacbaccbbacacaaabccccbcbbcaacaacaacbabacccacacacbcacccbbbabaabbbbbbbbbcabcbabbacaacabcccac
+abccaacbaabcabbbbacbbcabbbabcb
+bbabcbcacbbabbcaccbbaaabbbaabcbcbbcacbacbbbcbaabbbcaabccbacbbbbcbcaaacccacccaaabcbcccaccabcacbbabbabbccaaac
+accccbbcacbbcccbbbacaca
+acbbbbcacacbbbcabbccbaccbcccabacaaa
+ccabbbbabcaccbbaaaacbbbcaabaaacccbaabcabaabcacbacabbcaabbabbbcaabaabbaabacbcbccabcacbbbabccbbba
+caabccaaaaabcacbaa
+abccacaccbaccccaabccabbbcaaabcacacbccaacbabcbabbccabcaabbcabbccccababaaabaacbbbcaacbbaabcccabcbab
+bcbbbcbacaabccbccccbbbbaacacbabbbaabbcbbbacacacabbccaabcbbbbcaabacbabcc
+bacbbbcbbcacbabcbbaacabaccccbccbabbbcabcbbaaaacabbaaabaaaacbbabcbbc
+accbbbcbbcaaccbaaccccaccababacacbbcbbaacaccbccaccbbcbcc
+bccababcbcbbaacccbbbacc
+ccbcaababbcbaacbcbcbaababacbabcbacbaacabacbabbbbabcababccbcccbcaccaacbaccaabcbacbacbbcbcaccaa
+ababbaabbaabaaabbaaacacbcbbcabcccbaaaabcabcbcaabaacccabbbccaabccabaabacaa
+aabbaabbbcabbcbaacccaaacbaa
+acabacbabbaccccacbababbbacaaccbbcbccbaacbababaabbbcaa
+aabbbacababcaabaabccaaabaaaaacbbbaacbbaaabababcbcaabcbcbcabaaccbcccbbccbcacbbcbabbcbcbccaaacabcbaacbabacbcc
+babcabababbcaccabacacaacbbcbccbaccbcbbacbacbbaa
+bcabacaacacbababaabcaccbcccccacacbccaccbaaacaabbbbcccbbcccaabccccabcaacaacbcacbccb
+bcbccbccabcbaaacbaaccbacccbabaaaabaaacbcaccaaabcaaacaccaaabccbccbaaabbcccccaaabaaacbbbcbaa
+cbbcacaaaacabbbaabb
+acacbacacbaabbacbaababbbbccbcabbacbaaacbabcbcbbc
+cbbcbaccaccccbaccccaacabcabbaaacaccccbcaacabaccacacacbcababcaabcbacbabbccbcbbaaabbcaabacbaabccbaa
+bcaabcbbccbabaccaccbccbcbbbbbabaaabacaccabcaabaccbcacabcbccccaaccabaacbabbbaaaa
+cacacbbbaacca
+baaacacbccbaccabcbaaaacaacbabbbccababaaacacabababc
+ccacccbcbbcbb
+aaaacccbcacacbaabcbacbcccacccbbbccabbcbbbabbccaacbacbaaccbbbbbacabcbabcccabcbaabbccacacaa
+bcaccacbbc
+ccacaababaccabcbcaacccbbabbac
+cacbcbabccacaaaacacccacccbccababbacababbcaacabcbbaaaabab
+acacbacacabbbaccccabcbccbccbcbbbcbaabbcbabccbaccaabacbaccabccbaccaaaaabcabbccabbcbcaaacaabacbacbbbacabcc
+abcbcaacacaabbaccccbbcbbabcabaaacccaabcaccaabaabcaabcbaabaaabaa
+bbbcabbcbcbbbaaccbaabbbaaccc
+bcaccbbcaccbacacabcbaaacbcbcaababbcabacbbaacbcacbccbabbaacbbbcaaacacccbbabbaab
+baaacbbbbbaabbbbacaabcabcabcccbbaabcabbccacbabcc
+ccaacbcbcbccbacbaacabcbbbaccbcacbcbacabbbbaaaabcbbaacacacabbbacacacaaaccbabcbbcaccaacbcbcbaaaaacbcbb
+aaaccaaacbcbaaaccaabcbacaabbaaccccacbacaccbacbcbaaaccbbccaaabbcbbcbcccbbacbbacaccbabcbbcbabaaaca
+babbbcaaccbbbbacbbccbbbacababacbbacbccbcabccbaabbcbcccbcabacbbacbbbbccbcaabaacbcbabb
+aacacccbacacaacbbabbaabacaabbcababccabcbabcbaabccbaabcccaacbabaabbbbbbcbacacaccbcabccaacaccbbb
+aabbbccbcccbcaabccaabcabaacabbbaaccabaabbcbaccbacabaacbcbccacccbcabaccccbbabaa
+abcacacbccaaabcbca
+bbcbcababbbbbcccaaabacbbcabbcbcabcbcb
+cbaacababcbabbbabcccbabaacacababccbbbaaccbcbccccbccaabcaabaaacbcbaccbcabbabbcbacaaab
+bccabcccaaacccbaacbccbbcababbbbabbbabacbbccababccabbbabbaaabccababaaacccaaacacacbbaabcaabbccc
+aacbbaaabccabcbbbcaacabbbcaaccbcbbcaccaaccbbcacaacabaccccbbabacaaccac
+acabcccbbbacccacabaacbabaacbaacbacbccaaacbcbacbaaabaababccbabbcabacbacbbcabacacbbabaabaaacbbbbacbaabba
+aabcbccccbbcabbcbbaabca
+acaabacccacbaabcbcbaabbbccbbccaaabaacabbaacabacbaaccbbaa
+abbbccbccaabaabaaabacc
+abccccaaacacccccbcacaab
+ccaabaacbccccbabcbacaacbbcbbcaccbbab
+acbbcbcbacaaccaaabcabcccaacabbcbcbbaaaacccabbbc
+cbccacabcaabbcababcbaa
+cabbaacaacacbcbbbabcaacccabacbabbccaccabbbbabbcbbbaacbcabcccccccacccbc
+bccaccbcbacccbbcababbbacbbbccccbcabcabbcabbbcaabacabaaacacccaccccccbabbabacbccabbbaabab
+acbcaccccbaacacbbcbcacbcaacaaabaabcccbcccbbcccbccc
+caccbacbbabcabbcaacacabaacbccc
+abacabbaabbabbbcaacaaabcbccacaaabcccbaaabbacbbabcbaccbcabcacabaacbbcaacabcbbbabbbacbcaa
+aabacabbbbabcabcbccbbbccbbbbaaabaccbccabcccccaabbacabcbabbabacbcacbcbabbcaac
+39 1
+ababbaaaaabaabaababbabbbbabbabbaaaabbaabaaaabaabaaaaaaaaaabaabbbabababbbabbbabbaabbbabbbababbabb
+bbabbbbbababbabbabbaabababbbbaabbabababbabbabbbbbaaaabaabbaabaaaabbaaaababaaababbbabbbaabbbbbaabaababababbbaa
+bbbaaaabababababbbbababbbabbbababbbbaabaabaabbbbbaaaabbbabbaabbabaaaaabababaabaaabaa
+babbbaabaabbabaabbaabaaaabaababbababbbbbaaabbbbaabbabbbaaabbabababaaaaaabaaaabbbabbbbabbab
+aaaabaaabbbabbbaaabbaaabaabbbbbabaaaabbaababaabaaaabaaaaab
+abbbababaaaabaabbaaaaaaaabaaaabababaaaab
+baabbaaaababaabbbaabbbbbabbaaababbaaabbaabba
+babaaabaabaaaabbbaaaabaaabbbabaababbabbabaaa
+bbbaaaaabbababbaabbaaaaabbbbbbaabbbbbaaabbbaabbbbaaabbbbbbbabaaabbbbbbbbaabbaaaaaaaabaaabbabaaaaabbbaababba
+bbaaaaabbbbbabbaabbabbbababbbbbaabbbbabbbbbbaabaaabaabbaaababbabaababaaaabaaaaababbbbb
+bababbbabbbbbbabbabbbbabbabbaaababababaababaabaabbbabaabbaababaabaabaab
+bababbbabaabababaaabababbbbaababbaaaaaaabaa
+baaabbaaaabbababaababbbbbabbaabaabbaaabaaababaaabbbabbbbaabbbbbbbbbaaabaaabbbab
+abbaabbaabbbaaaababbbbbabbbbabbabaabbababbaaabaaabbbbaaabab
+bbabbbababba
+bbbaabaaaababaabababaab
+ababaabababaaabababaabaaaabbbbbaabaabbaabbbbaaabbaabbababbababaaaab
+bbbbaabbbbaaababbbaabaaabbbbaabbabbabbaaabbaabbaabbbbabbbbbbaaabaaababbbaaabaaaabababaaabaabbbbba
+babbabbbbababbababbbbaabaaabaabaabababbbbabbb
+aabaaababaaaaabaababbbbaabaaaabaaaaaaaaabbaabaabbbbaabbaaaaaabbababaabbbabab
+abaaababaaaaababaabbbbababbbbaaaabbaabbaabaaaaabbbbbb
+baaaababbbabbaabbbbaabbbbbbaabaababab
+baaaabbabbaababbabaaabbbbbbbbbabababbabaabbaababaabbbabbbbaaaaabaaabbabaaaaababbbaaaabaababaabbbbbaaaab
+aaaabaaaabaabbbbabbaabbabbbabbbbbaabaaaaabbbbbaababaabbabbbaababbabbab
+babbabbaabaababbbabaabbbaababaabbbababbababba
+abbbabbbabbaaababbabbaaaaba
+bbbabbababbbaabababbbbaaabbabaaaababaabbaabbbaaabaababaaaabaaabaabbbaabbbabbaaaaaabbabaaabb
+aaabbbaababb
+abbaabbbbaabababbbabbbbabbaaabbbbaaa
+bbabbbbbbababbabbbabbbbabbbabaabbabbbbbabababbabbab
+bbabbabbbaabbbabaaaaaaabababbaababbbbaabbaabbbbbabaabbabaaabaaababbabbabbabbbaaabbaaaaababbbbaabbbabbaa
+aaababaaaaabababbbbabaabbbbbbbbbbbaaabaababaa
+abbaaaababbbaaaaababab
+abbabbaabbbababbabbabbbabbabbaababbbbbbaaababaababbbbaabbaaaaabbaaaabbabaabaabaabbabaabbabbb
+aababbabaaa
+bbbaaaaaba
+abaababababbbbabababbababbbbbbbabbabbaaba
+babbbaaaaabbaaabaabaabbaaaabbabaabaaababaabbaaaaababbbbbbaaaabbabaabbbbbabab
+bbaabaaaaaaabbabaaabaabababaaabbbabaaaaaaabbababbbbababbbaaababaaabbababbbbaaabbbbbabaaaaba
+105 18
+aacccbabcabacbabaaacbacabcaaccaabbcbaabacbcccbaabcbbbbabbcbcbcacbccacbcbccbbcbbbcbcbacbbbbbcc
+cabacacccacbcacacccbbbabbcabcbcabacbaaa
+acaabacbcccbaacbacbacbcbccbacbbaacbcaabbbbbccbbbbaaacccbccbcbbccacababaacabbacaabacccbbbaabacccaa
+acbbcabbbbaabccccbcbbcabbcbccabcabcbacbbbaababbcacaccaaaccacbaacacbaabbbbaabbcbaacaabcbaccababacccabbbbaa
+abaaccccccaaaaabccacccbbaaaababaaacabacaaabcbcbbbaaaacbaaabbbbcaacbaabbacaccbbaaaccbacababaabab
+caccabaaacbcccaaccacabbbcabcbbbbacbbacbcbcccbbaabcabbbbcccabccacabccccaccbcccabccaccababbcc
+abacabbcbaacbabcbbbcbbcaccaacabbccbbaabbabccaaccbbaaacabbbbbcbc
+ccacccbaaaccaaacababbacbaccbbaacbbabbcacbbacaacacbaacb
+bcaaaacabcccbccacccabaccbbbbcabcbbccaaabbacabcbacbaacaaccabacbcabccbacbabccbccacbcabaaacbcbcaaaccb
+ccaaacacaacaaaacbcbbccbbbaccabacbcaaaaccacbabccbbabbcbbcbbcaabababaaccabccacaaaacaabaaaaaccaaca
+abccbacbabaccaabbcbabbcbbaaaacbbcbacbcbb
+acbbcccacabcbccabacabaaba
+cbaccabbacccbbcaacbaaabbc
+bbabacbcbaababbbcabaaabccbaababacbacbbbabcbaccccbbaaaacaabaaaccbccabcaccabcbbbccb
+bbababcccccbcbcb
+bbcccbacbaacbccacbcacbbcaaabaacaacbbcbbabacab
+bbaaabbabbccbbbcbbccbcabaabbacacbacaacaaccaabc
+bbbcbcaacccbcaaaacaabacbaaccabacbccaacbccbcabccbbbacccbb
+bbaaaaababbbacbacaccbaaaccabbccabbbcccbbaacacbcacbc
+bbacbbbbacaaaacbcbbbaacaaccaabacccbcbccabbccbbbacaaaacacccaacccbbbaa
+aabcbbacabbbbcbaababaaaccbbaacbababcaabbacbbaacbccbaaaaabab
+caaaccccbbcbcabacbbbccaabcccabbcacbbbcbccabccb
+bbaabbccbaccbbcccabbbcabbcbacacbbbbaabbaac
+ccbcbcccabbaacaaaaabaabbaccbababbbcacabcbccaacbbccabaabaacacacbccbbbca
+cbcbbcbccaccccbbcbcacaccaccacbbaaaa
+babaccbbbcaccaaba
+aacaacbbaaabacbbcabaaabaaabbbccbcaabbccacaabcaccabbccabbabbaabcababcababbacbbbcbcccccbbcbbcacacbbbabccac
+acaccbccacbcbaaacacabbb
+aaccbbabaccbcaacccabcabc
+baccbcabbbcabcccbacaacabbccbbcbccccacbcacbcbacbcabacabbbccbabbabaacaabbcbbccbbaaacabbcabaa
+bccabbbbbcbbcabcbccccbbbcbabaabccacbbcaacbbbabacbbbabbaaacacaaab
+bacaccabbccaaacccbcbabbbcabbaabccacccbbacbcbaccbbcacccbbcbcbbacbbcbacabbccccbcccbbcbabccaabcbbabbbca
+cccaabaacbbaaccbaababacaaabbbbaabbabccbabaaabcabaacbacbcccbc
+acbacccbccbcbcaaccccbaaabccc
+cccccabcacaccacccbbbbabaacbbaacbaaccccaaaccbbab
+acbbaacbcaacccccaacbcbbcaabaabbababcbcbcabbcaacbcab
+cbccbaabcccbcabbaacbbcccbbbaabacbcbbaaacaaaaaaababcbccbbccbbbabaabbbabcbaccbbbbaaccaccb
+bcabaabbabbabcbaabcbabcca
+bcbbaaaaaacacaccbacccbaaaacabbbcccbbbabbacabacbcb
+cbaabcaabccaabbbbabbacb
+aaccbbaaacbbbcbccbcbacabaacaabcbcaccbccaccacbcbacbcaacbcbaaabcccbbccabab
+ccaabbbbcbabcabcbababbbbcbcbbcababacacaabbcacacacacabaccbaacbbacaabbcacc
+abccaccbcbaccaabcb
+ccccacabcbabbccccbbaabaabaababcbcbbabcbbacbbacaaccacacacb
+ccabccaabcabcbccacaaccbbbccbacbaccbacbccababacbcabbbaacb
+ababcbabbbabaabbbcbbcabcbaacbcbacbcaaaabcbbacabacbcbbabbbbaccabbacccaaccbaabcbb
+abcaacacbaaccccaccccbbbcaaaccb
+cbcaaccaaccbbbbacaaabcabcabccacccacbbbaccccbaaaababbacaacaaaaaa
+bccbccbbbbccabab
+cccacbaaccccbcbabcbbcccaaacccbbaccabacbaccacbcbbcaaaccccccabbccbccaacbbbcccbbacc
+aaabbaabbbaacacabcabcabbacccccbbaaabacccbbcaaacbcbbbcaaccabaa
+aabbabaabcbaabbaccaab
+bcbaabbacaabacbaacaaaabbbbcaabbccbaacaacabaabaabaacbbccaaccaccbbacbaccaacccbbabaaabca
+caabcabcabacbbcaabac
+ccaccbacabcbbbbcacaabacbcccccbaabcacbacbcbbbabacbbccabcacccaacabcacacccbcab
+accbaccccbbcbbbbbccccbccaaccacccbbabcccaccbbcacabab
+cccbbaabbacccbcabbccabcbacbbbbaacbbbbcacccbbcacbcacbacbcccabbbcbacbbabacababccbbcbbc
+abcbcaaccaaaccbccbacbbbabcbaccccbaaacaaaaaabbaccbcbbaaaaccbbaaabacbabaccbcbacbaccbaaccbacbcbacabacbccb
+babaaccaacbcacaabaaabcaabbbbaaacaaaabcac
+babbcaaaaacbbccbcbcbcbbbbaaaabbbcaacabccbbcacbbbaaabbbaacbacbbbaabacaaccaaacbbabacbbbababbbbc
+aaabbcaabaaacababccbcbccaabbbcbccbcaabcbabbccbaacbaacaaccaaacabbbaabacbbacbbbabaababcbcaaacccbbbcabacabac
+bbcccacabcbccbccababaacbcbbbcbbacbccbaabbbacbcaccacbbbbcabcb
+acbbaacabaacaaabbaab
+ababbbcacbccaccbccacbbaccaccaaababcbcbbbbccbbcaccbabbabcbbbabbbcccbbcbaccaaabbbcbbbbcaccabcbcccbcccbbccaccb
+acccaacccacaabacbcabbbaacaaababcbabccacbcabbbbccbccccacaaabacbcbcbbacccccababbbcbccbb
+acbaabbcbcabbacccbbaacbcabbccbaccbbccbcccaacbabccacbbaabbaab
+cccaaabababcbacbaaccbccacaccbcabbbcbabaabcbcaaabacccccccbacbcaabcccaaababcacacaaacb
+bbbaaaacabbbbbcabacbaaabbbcbacccabbca
+cabbabaabcacabbacbaaaacaabbcccaabbabaccbbbaabbbbaacccabcbacabc
+bbabbcacabbccbccacccacabccbcccbcaaababcbbaccb
+bcbcbcaaacbbacbacbaaaabccbccbbbabbbabbcabbbccbbaccabbaaacbcccacababacaaccbbaabaaacabccccbc
+baabbacccccbbbbcccbcbabacaaacabccbaaababcacaa
+caccabccbbcaccabaabcabcabbcbccbccaaccacabccbabbacbbcbbccbbaacbbbccabbcbcbcbaabbcaaacbacabacabbaabbbacbaaab
+accbbabaaacbcabcaaabaababaaaabbcccabaaabcacbabccacaccbcaaabaacccaacbaccaacabcabc
+caccbaccbaacbabccbabcbcababcbbcbaabbaccbcbaaaacbaaccacaaacccbbcabbcacaabcbcabbbabbcabbabbabccacabaacbcbacaabb
+acabcaccaacbbbbcaaacbbabbbbbabcaacabbaababcaaacaaacbcccabacabaccbbcaaaccbbacccbcaaac
+bcabcaabcaaabbabaacabcaacacabaababbabbcacaccccabbbbaabcaccabcacbacaacccbaabccbabbcabcabcccccbcaaacbccbaacb
+abcaacaabcccbccbccbbbbcbabbacb
+aacaccaaaacbaccabbabbacbbaccabbcabcaacbcbabbcacbbbacacabaccbbccaabccbaaccabaababcccabcacababcbcbcbabaacbbcccc
+cacbaaacbcacccbcccccaccccbbbbcbccacabaaaccabcbbbabccccaacaaabccbabaabaccc
+cabacbaabcbcccccbabbcccacacaaaabaccacacbbcbbbbaacccb
+abcbbcbcabaacacbcccacaaaccbcabbbcaacbbccbabcbbcaacacca
+bcbbcbbbcabbcabaaababbaacabababcbccbbcaabccaaabccbccccbaaccccccababbbbbbcccbbbacbcaccabcbabaacccbbabaababcc
+cccaabcacb
+accccbccccbbbcaaabbaabbbbbcccbaabcaacccaaaacaabaccbcbbbbabaabbaabcbcbabcccca
+cbbcaabbccbbccbabbccbbcccacbcaacbccbbcbcabaaccbcacccbccbcacabaabaaaaabababbacaabbbcccbcaaababcbcccccbacab
+bcabcbbabbcbacaaccabcbbaccccbabacbaaacacacaaaccbbaa
+aaacbbbbccbaccacccaaacacbcaabbcbaccbbbbcaccbaacaaabacbcbcbbabcacaaacccacb
+bbacbaaabccabaaaacacbcbcbaabccaabaaaccacaaabbcaccbcacbcbacbabcaaaacccabaaacbcabacabababcbcacababcbcaacaabacca
+bbcbcbbbbbbbcbaacbaaaabcbcaaaccaaabbbbbaaaababbaaacbbbbcaabccaababbcbcbcbacaccbbbcbbacaabcbabbabbacaabcabaabb
+bcbababcbcabaabbcabcbbbccbcbcbbbababacaaccacabacbacacbaccbbbaaaacabbacbabcbcca
+acbbabbcccaacaabccabcaabcccabacbbcabcbbcaccabaabbabacbacbbabcaacccaaaacccbbccaabcacaabbc
+abcbabaaaacbbcacbacbbabcabbbabbacbacccbaaabcaacaaabcbabccbccbbcaabbabaaccaccaaaabcaaacacaabbbaabcac
+ccaaacbcbbbbbcbabbcacbabcabbcabcacbbbcbacacbaccacbcbcaaaacbaabcabcca
+accbbbbabbbbcaabaccaaaacbcaabbccaacbbacaccbacbcbcbaacbabcababaccbacbbb
+abccaaaaccbccbcbaacaabcccbcbbababaacbcacaacabacccccabcccbbbbabacbcbccabcbcacc
+bcaabbbcaabbcabaccaaaaaacbcbaaccbbacccabbbbccbaabcaaaaaabaabccccccacacccbabbaacaaba
+ccabbccbbacbbccbccabbccbcbcabacabbcbbaabcacccaacccaabcacbcbccaaca
+ccaabcbacbbbacccbabaaaaaabbcbcbbbbbccaaacacacabb
+bcacacabbca
+cbcaacabbbabbbbacaacbcbaccabbabbaaccaaccbcaabccccacccbcabccbabccabacccbcaaccbccbbbcaccc
+abacbacacaacbabcccccacaccacabcccaaabbaaccacccbacacaaccca
+baccacbcbacccacbcbabbaccbabbacacabbccccaaaacccabbccbbcccaccabcaacabacb
+abaaccbaabbabccaabaccaacacbaccbbccccaca
+bcbbabbcaabbbabbaabacaacbbcbcbcbbbbcaaabacabbbaacbaccaccbaaa
+188 144
+accabcccbbaabcbabbccbbaaacbacaacbbccaababcacccbcaaacabaaaccbacbbcaaabbccaababbbccbcbcbabbbaccabcbcaba
+bbbacccacccbcabcabbacccbbcbcabbababcbabaaababababbaaabcbcaaabaaacaacaaaaacbbaacbbcaaabacabbaccaca
+cacabaababbabbbbbacacacbacbcbaacccaabaccbccabbabcbcbbbaabaaaccbaaccbbcaccbbcaaacacbbcbca
+aaabccbabbbaccbcaaaabbababbcccababaabccbccbaaaaccbccbcccbccbccbbccaacabcababccccbbcaca
+ccbccaccacaccbbcacabaacbacccacccbcbcccbacacacabaccc
+ccbccbbbcbaaababbcacaaacabccbbbbbcaaaabaccababbabbabacaaccccabaabbbacccabcaabbccbcacbcbbbaacbbcacbbbaacbcbcc
+cbacabcaabbacbccbcbbbacbbacacbbcbbcbcaacbccabbcbbbbbcbbccbbacabac
+acbcaacabbababaccbcccbbccbaaaabacacccabbccccbaaacabbababcbbcbcbaacbbbababbbcbbcbbaccaacaabbabacbaacabbbcabbb
+cbbaabbcbcbccababbcaaaaaacccabcbcababbcacbacaaacbcbcbbccabaabcbcabbbcabcacbabbcaabccababacbcccba
+aacabaaabababbbabbccaaccabbba
+aabcaaabbcbabbaccbacbbcbacccccbaacbbabcbcbbcacbcca
+bcaabacbccbbcaaccbaacaacaaccaacbacacbcbc
+bbbbcabbcabcaccbaaaaabacbaabc
+abcbacbabbacbaacccaaacaccabbbcabcbbaabcc
+caabcccccbabaccbcaacacccacccabaaaaaabbaabbbaaabcabbbaabcbaaacaaaabaccaccaabcaacbbbab
+acabbcbabccbbaaaabaacbab
+cbabbaababcabcbccbcbbccbbcc
+ababbcaaacaccabcabcabaaaababbcbbaacbbccacbcbabbacababaabcbcbbbccbaabacbaabbb
+bcbbcbcbcabaaccaaacccccaabbbbbccbbabaacbbccb
+ccacccaabccbabcbcbaacbaacccbcabbbabbcabcbbcccaabcabccccbbaaccbacacbccb
+abccbbbaacabcaaabbbccbccababaccbcbcbccbababcbabbababcabacaccbbaccabbaccbaaabab
+abcbbbaccaababbcbacabbacbcaaccbbcac
+bbaacbbbaacbcaabbbbaaaccbcabcbaccbbaccaaabacccccaaabbcbaacbabaacbcabcbcbbbcabacacabccccbaabcacaaaabbbccbcaca
+bcbcaabcbbcaacbcacbaacbcbccaabbbaccbcacaccaab
+cbabaaacbaacabcabbabcbabcbcacabbaacbbcbcab
+acaccbbabaccaabbccbbabcaabaacccbabaccabcabacccbbbaaaacbccbbcbbabcbacaccbcabbbbbcabbcacab
+bbcabccabcbcabbbaaabbbbbccbabaabaccaaabbccaabbbabba
+acbbcaaabcbaacacccccbbcababbacbaaabcccacaacbacbccaacbaccccbaabbcbbacbbbacbacbcc
+acacbacbabababbcaccccbbaaacabccacbbbabaaaaaabbbccaaccbcbcccaabccabccccaabbaacabcbac
+abcbbccccbacbabacacbaccacaaababcabcbbaccabbabcbbcbbbaacabcaaaabbacbaacccabaabbacaacaabcba
+aaccbcabbbbbaccabbcaacacabaccbcbbcbccaaaacbcbcaaaacbacccbbcccbbcbbccbbababbabcbaccaabaabcbacacbb
+caaaabaaaacccbbbcbacccbbabcbbcacbbaaacaacccbcbbbccccbaacabbacabcccaabacacacabbabcacbcaccabbcccaccab
+cccccacccbbbbabcbacaacaacbcacbbaaccccbbcbacb
+babacabcaccbaccacccaaaacabbcbccacabbaaabccacabcccaaaacabcbcaaccbaabbcbbaccbbb
+bbbbbcabbbccbbcabcbbcbcaacbbabcccab
+cbcaabacabc
+cbbbaccbbababcbccacaaaccbaabaabcbcabbaabacccbabacbcacbcccbbcacbacccbcaacbbcbbbc
+ccacbacbbaacab
+babcacccbbcaccbccbbbbbbbccabbbcbbcbbbbcabaaccbcabbaaaabbcacbbcbcbacbbcbaabaaacbbccabababaabaaaaba
+acbaaaccabaacacabbcaacabcacccbbbcbccbabcbbbbabbccccaaacccacacccbbbcacabacccbbbaccaaaacaabacbacaccb
+aaccbbcacbcbbbbbcababbccaaccaabacbcabbcaabbcbca
+cbaaacbbcaaacbccca
+ccbababbabbaccbaacaabcbbccbbbcbcaaacabaaaababbabbccac
+bbbbbcccaabababcbbcbabbbbbbbaacabacacbbcccacbbabccacabcacabacac
+ccaccbbcaccbabbbacccaaccbacbaaccabbabbabacbabcaaabcbaaaccabcaaabacbcaabcccabccaccbbc
+ccccbaaaabcacaaabbacaaaaabbcabcbaacacccabaccabcccabcbbabcbbcbbba
+bccbbaabcbbacccbcbcaacccaaaacccbcaaabcaabaabbccccaaaabacaaaacbcacbcccabcabcc
+acaabcbcbbccaacaabcbbbcbcbaaacca
+cbbcabcabcbbcccbbccabcbacbcacaaabbbaacccbaaabcbbbaaabcababacacbabaacac
+cbacccbabbbbbcbbabaaccaabcccacabcccaaac
+bbbaccbccabb
+cbcccbcbbaabacbbccbaabcbbcaabacacacacbacabcaaaabaabbcb
+bccabccaabbbbcacbabccaccacbccaaacbbababccbbacccacaacbabc
+caacccbbbaaabaacbbc
+cbbccbacacabbbccabacaacaabcbacabc
+ccbabacbaabbabbbbbbcaca
+acbaacbaaaabbcaaacccbabbbaccacbacbaaaabcbaacaccbaababccbca
+acbcbabaaaabacabacbababacbaaababaccaacaabaacbbabaabaabbcccaccaab
+ccbaacbaabbbcabaccbbaaa
+cbbccacbccabccccacabbbcabbccacccbbcabcacccbaacccbaabccababccbaaccac
+aabbbbbaacbaacbbcbacacaacabcbbabaaaabaabaaabbbcbcccbbabcbaabcabbbbaabcbacccbbacbcaccabcbacababbccbbcbccbabb
+bccacaaccccaacaaaaccaacbcabbccaab
+ccacbabbcbaaabbaacab
+baccaacbbacabccccaabcacacbababcbcbcaabbabaabcbbbccaabaccabbaccbcaaacccabcaaaaacbcccaabb
+bcccccbaaaaaaabbbccbbcccbcbcbbbcccc
+bcccbbaababcbbcccaabccacbccacaabbbaacacbacacccaaaaabcbb
+aabaccbcacacbaabaaacabcbaaabbbbbbacbcbcaccacb
+aaacaaacaccbcacacabbaccaacccbacabbcbccbac
+cbbaacccacbcbbaacabbbccbbbaacaababbcaaaabbaacbbaacabccbbccbbabacbcccbcccbcbbbababcabaaaabca
+ccababaacaacbbacaaabbbcacbacccbbaabacbcaaacbcbccaccaaaaacabbaabaaabbbcacabbcbacccacccccbccabcbccbbbacbaccab
+aabbcbcacccbbabcabbabcaccbcabcbcaabcbaaccabacbbbacbbabccabbccbccccabbbcbacacaabbccaccbbcabaaba
+accacbaccaabbbcbcaaacaacccbacacccaabcaacccaaccbbcacbabccaaabbbccaacaa
+baabbbcaaacbcbcbbcabcbacbaabaccbbaaacababcbabccbbbbaabacbaabaaabbcabacaaabcbaa
+ccbbbbcacbcacababbccccabbbbabacbaccabaccbaabbbbcbcaaccbcccaabaccccaabcaabbcbacabcaabacccccbcbcbba
+cbbbacbccbcbbbbbccabcbccabaaccaacacbbccacbbbcbaababaaaabccaabbbccacbbbcc
+acbcbcaccccababcaaabbcabcbbbabcabcaaaaccaaccabaccbbbcbaabccccbbbbab
+ccbaccbaacacbcaabbbaccbcbaa
+cbcacccabbbacaccbacbbabaaabaccaacaaaabaaaaccabaaabcabbaccbccbccaccaacccbcabaaabcabacacabbabaaa
+bcbaabcaccacccaaccbbccbabbcbababcaabbccbcbccccaccbbab
+bbbcabbbbbbbaccbcccaacccaccccbabccbaacbcaaccbbabbbcabaaaccbbaaabbbbaaabaaacabcccaabac
+accccacbbabaabacabbbcaabbcbcbcbccbbcbca
+abaaccbbacaccbacbbbbcacaaabbccabaabbaaaaabcacbaaccaccaaaabbababaaaaabcaccaaaacccbcaaabbaccbb
+bcabacaacaaababbcacbcbccbaaabbbacbacaaaabaccbbbabccabaabbcabaacabaccbbaa
+cabccabbbaaacacbaacaabcbbbbaacaabba
+bcacacabbbbcacaacbcbaacaaaccababaaabbacbca
+cbbbcbcabacacbccbccabbccca
+bbacacbbaccaacbbcacaaacabaaaccacbbaabbacbbccaaabccbcacb
+abcbbababaccacabaaabb
+acabcbcbacacacaaaabacaaacbccccaccbbcaabccbacbbba
+babbababccbcbcbbcbbcbcabaa
+cccbaaaabcbcaaaaabbcbabacbabacbbacabcbacccaabaccbccbabcbab
+ccabacccaabcbbccbaaccaabbcbacbabcaaabbaabacccacaacccabbcaacbcacbaaccaaaabcbcabcbcbccaaabbacacbabcaaaccbccc
+aabbcbbccabbccaacaabccbbcbcaccba
+bcbcccbbbbaacbbbcaacaaabacbccbabbcaabcabababbaabbccbacbaab
+accacbaabbcbcaaacabbbbbaccaabaaaaaccaccbaababcbbabbabbacbcbcbbaacabbcbbcccacbbcabcbcaaaacbac
+abbbbacccbacabbcacabbbbcbabacabcbccccbccabccabbccabbacabbbccaccbacbbc
+abacbcaaccaacbaaabbcbbccacabcabacbabacab
+abccaabccacaacabcababababbbcabcabacbbccabaabaabbbbcbaacbacbbbcbbaabbbcaacabbcbcabcbcaccaaccccbabcccbacababaac
+ccbcbbbbabccccaaaacbbacccacabcabaaccccabbbababacccaaacaaabaabcacbaaaacbabcccacbbcaabaacacbcbbaabbbbbbaaaaa
+baccbccbcbaccacaaaaacbabacabcabbccabbbbbccbbabbbababbabbcbaacaacbbbaacccbccbccbaaaaacacccabbaacacbbca
+cacbcaaacccaabccaabbbaacacacaaccbbaabbaaacababcabcccbaaccacacbcacaabccbbbcaab
+aabacabcacaacbacaacbcbbbcccaabbbaabcccbbacaaabccbbcccbbbcbabbabbbccbbcbcccbcabcccbabccbcbabaaababaaaaaaa
+ccacbcccacabcaccaacbbaabcabccacbccbbabc
+aabbaacacbabbbcacbcbcacccccbaabaccabbcabcaaccccbbcca
+cbaaaccacabababacbcbccaccaccbabacccbccabbbbabcccbbcbab
+caabccaacccabbacbbbbbbabcaaccaccaacccabcbccbcabbaacacabccabcbbbaacabacacbcaaccaabcbacaaab
+abbcccbbabcaabcbccbcabccbcabacbbaccccababcaacacabccbcabbaacbbabcbbcca
+acaccacbaccacabcccacbabaccaaababacabacbab
+aabbababbbbbaccaaccaaaabcbaaacbbaaabaaacbbbabbbccaaaccbabcabbcacaacaabcbcababaabcccbccccbcabbacb
+accccbbcbbacaaccccaacccaaccacabbacacabbabacbbbababcaccbbbbbababacbabbaabbabaabcabccccaaa
+bcbacacbacbbbcacabbbccbbcabcacacaaaccbccaaaabbcbbbccbacbbcacbbaaabbabaabacaababaaccb
+abccbccbcbbbababcabcaaabbcababbaaabbca
+cbccbbbcabbaacccbaccbcbcbbaabacaabbbabbababacbcaaabbbacbaabbbccababaaa
+bacbcaccaacbbaacbcbbbbbbbcbcaacaababbabbbbccacbcbccbcaa
+abacbcbbbacabcaacaabbaacabacaaaccabbbcabaaaaaaabcabbacbbacbbbca
+bbbcbabbbabbbabbaaacbacccbcbabbccbcababbbbccccaccbacbaabcbbaababcabaccccacbcaacbaacbacbbaababaacccbcbaaccacac
+baabaaacccccbacbcacacbcabacaccabcbacbccabbacbbacabacacbbccacccbabbb
+abbcabacccacaccacccaaabacabcbacaacbbcacbcbccccbcbbbccacbcbbbcabbbccbccbbccbcacabcababcbbcabccabcacabcbba
+abcabcbbbabacbbcbbcaacbabccbcabcabbcacbbaccccababcaaaabbcbabbccacabcacbbcbcccbbcabb
+acaabaaaaccacabbaacabcaacbacaccccaccacabacacaccaabcccaacaaaaacbbacbcaaaaaacaaabbabbabcacbbac
+cccaababcccbbcbbbbbacbccbbbcccbabbacaaacabbbaaabacabbcbbbbccbaaacacabaabbccbbabcbbbccccc
+bbcccccabacbabccbabbabaccacabaccacabbaabbbbbccabbccacbcaaabb
+bcacaaacbbbcbbbbabbbbccccbacabaacccacbaaaaabacacabbcbaabcccbbbcbcaaccbbabba
+cbacbbcccccaccccaacbacccbcabccacacccaccccccababbbaccabcacbbaababbccacbbccbcaaccaaaabaaaacabcbccaacbcbbabbbc
+babcaaaaacba
+bbacaaacaaaacbccccaabbbbcaccaabcbacbcacbbaacacccabbbabccaacacbcbabcbcbbbbbcbaacbacaaaabac
+cccccbacccccbcccaccbacbbabccacbabbabccacbaabbbbacabcbababac
+acabbabcbcbacbbbbcbbcacbabccbacbbcacaccbcaacaaabcabacccbbbacacbcabbababbbbacaabccacccccccaba
+abaccbabcbcaccaacabababcacbccbcbbabbccbcabaabaacabacacabaabbaaababcccaaacacaaaacababacbbbbbccaaaabacaab
+abacbbacbaccaacccbbcbbcaabbbcabcbaaabaccaabaccabbcccccabccbcbaacbacabaabcbcbbbccbababbbacaaaabaacacbbabab
+baaccabbcaababbabccacccacccaababcbcabcabbcbbbacaaabc
+cbaaccbaccccaccbcabbcccbbaccbabbabbcccbccbccbaabbbcabcacbccacbbaaccaccaaacbcbbaaaaccaccacabcacccc
+babcaacccbabcbbcabbabbbabaabcaccabcaacbaba
+cbcaacbbcabbbaabaaabaaccbbbaaacbbacbcaaccabcaaabaabbcbbababcabbcbccabababbbaababbcabaccbacbaacbabcccc
+cbaaabcccacacbbaccabbbbbacbbaacaaacabcccaccbbccbacbcccbcaaabbcaaacabbccbbcabbabaabbbbabac
+baaacaccbbcccbabaacaacbcccacbbbaabacccccabcbbabcccabcabbacbbcabcbaccaacabaccacbaccacacbbcccac
+bacabcbaabcbaacabbbababccbbbbccbcbbaaccaabcab
+babbabacbabcabbbcbbbaccabcaccbacbaac
+abbcbcbacacababcccbacabaabaaccccaabacbcbbbaccccbbaccacbaacbbbaacabb
+babcbaacacacaaacaacabbbbcb
+abcccabbcaccabacbcacabaaaccacbaccccaabcab
+acbbacbcaccaabcacabcabaabbbcaacbbccbbbbacaaccbbcacaabbbbbcabcababccacbaaccaccbaabacaaabaaacbbaaabcacbbcbacbcc
+acaaacccabbabbb
+aabaaacccbbbcbcbbbcacabbbbbabbcbbcaaaaabaaacbcbbbacacc
+abbacaaaabbacabaaababbbacabbbcacaccbbcacabbbcbcbcbbbacbbacbcababaccabbccacacbcbacaaacbabccbbabc
+cbbcbccaaaccccacbacbbbabbaaabaabcbccbaabbabcbcbbcccaaabababbcbcbcccbccaa
+ccabacbaccbacacbacbbaaaaabbabcccabcccacbbbbabacbbaccbbb
+bbbbbcccbcabcbabcaaaabbacabcbbcacbabccccbabbacccaccabcacbbbbbabb
+cbabbbcbacbcbbcbcaaaaaccaabaabcaacaacabaaacccacabb
+ccccccbbacbbcbbaabbabbaaacbccbabaaacbbbcbbabaaaabcbccbaacbaccbbbccbacbcababaaabbcaacabbcccccbbccaccc
+ccbacbaaaaacbbccbbbabcaccccc
+acabbabccabaccbbcccacccbaaccabbb
+cccbcbaacababbbabcccacbacaacaabbcaababbaacabacaacbaccacbcbabbacccac
+bbcbabcbbabcbabbababaacbbbbccbcbccabcbb
+caaccaccabcaacbaabcaaa
+bcbabbaabccbcabbccbbccaaabcbabaabcbbbabaacccabbabbcaccccbcacbabcaabccbbbbacababacaacacbcbcc
+baabcccabaabbacbcbcccbabaccbbacbb
+bbbacbcccbaabccabcac
+ccacbabccabbcaaaccabacabacbbccbbacbbabbbabaacabcbabcabacabcab
+bcabaaaacabbccbabaacbbbabcabaabaacbaaacccbcabcabacabbbaacbaabaaabaaacacbc
+caacbccccbabcbabaacbbaccabaaaabbaccccacccbcacbcababcccbcacaa
+cccbaccbacccaabbabccbc
+ccacaabaccbabcbaabbaccbcacabccabcabaabacacbcacaaaccccaabacccaaaacabaaabaaaababbbbbbbacabcac
+baaaccacbaabcabcbcbbabccbbaacbaacacabbcbbcabbaaabcbbacccbacba
+cacbbcaaacacacbabbcbaababacbccbcbbccababccaabbccabbcacbbcabcbcbacbaaaacaccabccacaacbccacaabc
+cbbbabaacacaaccbaaccacaabaababcbaabaaababacbaccacbcaacccabbacccbbbbccabaccbacbbcabaacbcccaabbbaaccaaabcbaaab
+ccbbabacbaaccccbcabcbbcbbcbbccccbcbabaaaa
+aacccabacccbaacbabcbabbbccccacaacaaabacaccbacabbaaaccccbccaacbcabaccabbabaaacbbcaaccc
+cbaacbacabaabccbaaaaacabbccbabbbcbcaccacbabbcabaababacbbcabbccccbcbabaa
+bbabbacccbabaac
+bccccababcaacabaccbbcbccbaaaccbaccbcbacc
+bcabbbcbaccbccbbaccabacccabaccbacbbbacaacccccabbbacbaabcaaaacbbcbbaaaccbcaaabbabacbbbbbaacbbccbbbcbbaccbcaa
+abcbbbbaacbbcbcccabbccaabbbbacabacaabaaa
+bcacabacaaccabbccaaaacbccaaabcabacccaacaacaacabacaaabbaaaabbabcbabcbacccccccbbbabbccbbbcbbbabcabbabbaaababaca
+bacabcaaabbbbbcbbabcaccabacaacbcbabcbbcb
+baccccaacbcaaacc
+bbaababccc
+abbacbabaaaacabbccccbbcaabcabbbaabaaaacbcababaaabcbbbcaabcaaaccaaabbccaabbccbaccabcacbabcbb
+acacaaccbbaccaaaccbcbaacaacacbacbccccbcaacaacaabcaaababbccacacacabacbcccbaabaccbcbbccaabaacbcbbababacaacb
+cbacccbacbbcaabbccbbbbccacccbccabbcacccabacaacabcacabaccababbbbbbabccabbbcccbccaaabbbbabcaaaabbcbcbcbcbcb
+bbaccbbbbbaccbbcac
+cbbcbccbabccccaacbabcccbacaabbaabcabaaccbbbbbbcacbaacbccaacabcacabcaabbccababbcbcbcaabcbbcc
+caccaabbcccca
+ccaaaacbbbabbaabcacabaacbbbcbbaaaccabbcbccbabbaabcccacababbaaccbaaabaabcacaabcbaacacabbbcbbaaccabbb
+aaacabbbbabcccccbcbcababaaacbacbbaabaabcccaabbccababcbbcccccbccaacabbacaccbcacacaac
+aaabbaccbbcbbacabccccbaab
+abbcbccbbbcabaabbacbccacbabaaccccaabbbaba
+cccaccbaccbabbcababcacaaaaccccbcbcccacccccbbbaaacbbcbbbcbabacccccbbbaabbaca
+78 71
+aababbbabbabaaabaabaabbbbaaaaaaabbaabbaababaabbbaaaabbbababbbaabaababaaa
+ababbaaabbbabbabbbbbabbbbaabbbaaaaabbabbbbbabababaaabbbabaabaababaabbbaaaabaabbbbbababbbbaa
+bbaaababbbaaaaaaabbabbbbabbaabbbabbabaabbbabbaaabbabaababbbbaaabbaabbaaaaaabbbbaabbbaabbba
+bbbababaabbaaaaabbbababaabbaaabbbba
+babababaabababbbbaabbabbababbbbaaaabbbbbbabaabbabbbababaaaaabbabbababaabaabababbbabbbbbbbbbbabbbbaaabbaaaa
+bbaabaabbaaabbbbabbaabaaabbbbbbbbbabaaaabbabbbaabaaaabbaabaaabaaaabaabb
+babbbbbbbababb
+abbaabbbbabb
+abbaaaabbbabbaaaaabbbbaba
+babaaaabbabbbaaaaabaa
+aabbaaaabababababaaabbabaabaabbb
+bbaabbbbabbabbabaabb
+aaaaaaababbbaaaabababaaaabbbbbabaabaabaabaaaaabbabbb
+bbabbbaaaaababbabbbaabbbbbaabababaabbbabbbabaabababaaaaabbbbbabaaabbbbbbbaabbaaabababaabbbbaaabbbaabbaaabaaba
+bbabaaabbababbbbbabbaababbababab
+bbbbaaabbabbbbbaaabbabaabbaaabbababaaaabab
+baababbabaaababbaaa
+aaabbbbbbbabbbaabbbbbabbbb
+baabbabbbbbbaaabbbaaabbbaaaabbbbbbbbbbaabbbaaabbbaaababbbabbaaaaabbbaabbbaa
+bbbbabaaabbabbaababbabbbbabbbbbbbabababbabbababaaaabbabbbaabababaaabaaababbaaabababaabbbbbbbbbaaaabbabbb
+abaabbbabbabbabbbbbaaababbbbbbababbaaabbaababbbbbaaaabbabbabbababbbbababaabbbbababbbbb
+bbbbabaababababaababbbabbbaaabababbabbbbabaabaabb
+aababbabbabaababbaaabbabbbbbaabaabaabababbbaabbbbbaaaaab
+abbbaabbbbabbbababaabbbabaaabbbbbbbaaabbbababbaabbbaabbbbababaaabbabaabaaababaaabbabbbaabbababbbbaaba
+bbabaababbbbaaaabaabbbababbbabbbbbbaabababbbbbaabababbbaabaabaaaabbabbaabbabababbabbbbabbaababbab
+bbabaaabaababaabbbabaabbab
+abaaabbaabbbbabbaab
+baaabaaababbbababbbaba
+bbabaaabbabbaabaabbbbabbbabbbbbbbbaaaabababbababbbbbbbabaaaabbbabbbbbbaaaaaa
+baabbababbbbbbbabbabbbaababaaaabababbaaabbababaabbbaababbbbabaababaaabaa
+baaaabaababbbabbabaaababaaabbbbabbbabbbaaabbbbababaabaabbaaabbaabaababbbaababbbaabbbabaabbaabbabbba
+babaaaaaabaabbbbabababaaaabbabababbabbabbabaabbaaabaaaabaaabbbabaabab
+abbaabaababbbabbbababababbabbaabaababbaaaabbbaaabaaababbbbaabbaaaaabaaaabbbaabbbbaabaaaa
+baababbaabbbbaaabbaabbbbaabababbbaabbababaabbabaababababaa
+baaabbaaabaabbbbbaaaaababaababb
+ababaaabaabbbaabbabbbaabbabbbbabaaabbababbbabbbbbaabbbbbaaaaabbbbbbbababbbabbbaabbbabbbbbaababbbaabbbbbaabbb
+baabbabbbababbabbabbbbabbbabbaaaabbaabbbaaabaaaaabbab
+bbbbabbaabbabaabbbbbabbbbaaaaabbbaabaaaabababbbbaa
+aabaaaabbababaaaaababbaabbaaabbababaabbbbaaabbbaabbaaabbaaabaabbba
+babaaaabaabbbbabbabbbbbbabaabbbbabbababbbababbbbbabbbabaababaabababbbaabbaaaabaabaabbbbaaabbabbbabbbabbbababb
+bbbbbbbaaaaabaabbbaaabbbbaabbbbabbaaababbbaabaabbbbabbbabbaaaaaaabbaba
+baaabbbabaaabaaaaabaabbbabaabaaabbababbaaaabbbbbbbbbbbabbbabbaaaba
+bbaabbaabbbaababaaaaabaabbbbbaababaaaaabbbaabbbaaaaabbaaabaaabbbaabaabbaaaaabbaaababbba
+bababbabbabbabaaaabaaabaabbbbbbabbaabbbabbbabbbbabaabaaababaababababbbabbbbbbbbabaabbbbaaabbaabbbbbbaabaab
+bbaaabbbabba
+baaabbaabaaaabbabbabbbbba
+baabbbaaaaaaabbaaabbbbbaabbababaaaaabaabaabababbabaaabbbbbabaaaaaabbbbbbbabbbaaaabaaabaaabbabaaabbb
+bbabababbbaababbabaaaaabbbbbbbabbabbaaaababaaaaabaabbbbbbababbbababbbbbaababbaabbbbbbaabaabaabba
+aabbabababaabaabbbbbbabbbbaaaaababaaaaaaaaaaaabbabbbabaa
+aabbbbaaabb
+bbabaaabbaaaababbbbbaabaabaaaabbababbaa
+aaabaababbba
+abaabaabaaababbbaaabaababaaaaabbbaabbababaaaabbbbbbbabbbbbbaababbabbababaabaa
+bbabababbbabbaaba
+babbabbaabbaabbabbaabbaabbaaabbbaabbaabbbababbabbaaaabaababbbbabbabbbaaabbabbabaaabbaababbaaaaba
+aababbababbbbabbabaababbabbabaabaa
+babbbabbbbabababababbbbbaaaaabaabbbbbbbbabaabbabbbabbabbbaab
+abbabbbaaabaaaaaababaaaaababbaabbbbaaabbbaabaabaaba
+babababbabbbabbabbbabbabbabbbbbbbbbbaabbbab
+bbaabababbabbaabbabbbaababbaaababbabbbaaaababbbbbbbbaaaabaabaabbabbaabbaaaaaababbaaabbbababbbabababa
+babbaababaababaaabaabaaaaaabaaababbbbabaaabbabbaababaaaaababbaabbaaabaaaaaaaa
+abaabbbaaaaaababbaaabaaaaabbbbbbbbabaaabbbbbaaaababbbaabbbaaabbbbbbbbbbbbbaabbbbbbbbaabbaaabbbaabbabbaaababa
+bbabaabbbbbababbaaabbababbabaa
+ababbabbbab
+aabaabbbbbbaababbbbbaabbabbababbbbabbbaaaabbaaaa
+bbbaaaabaabaabbabbbbaaaabaaaaabbbbbabbbabaabbbaabaaaaabaabbaaaaaabababbaaaaabaabbbaabbaabbbabb
+abbaabbbabbbabbaaaabaab
+babaaaabbbbabbaaaaaaababaaaabaaababaaababaaaababbabababbaaabaababbbaaabaaaabbbabababbabababbbbb
+abbbbabababbbaabbbabbababbaabbabbbabbbabababbbaabaaaabbbabbaaaaaabaababbaabbbbaaaabaaabaaabbbbbaa
+babbababbbbbaaaaaaabaabbbbaaabaaabbabaabaababbababbbababbbabababbaabbbabbabbbababbabbbbabbaaaabaaaababaaaab
+aaabababababababaabbbabaaaaaa
+abaabbabbaabaaabbbaaabbbbbaaaaabaabbbabbbabaabaabbbbbbabbbaaababbabbbabaaabaaabbbabba
+bbaaabbaabbbaaaabbbaaabbaababbabbbbbbabbba
+abbaabaaabbaaabbaaabaabaabaaaaabaabaaaaababbbbbbbbabaaabbabaaaaabbabaabbaaaabbaabbabbaaaababbbaaabbabaabba
+aaababababbaabbababaaababaaabbaabbababbbabbbbababbbabbaaaaaaaabbabbabbbaaaabaaabaaba
+bbababbbbaaabbbbbabaaabbaaaaabbabaabbabaabbabaaababababaaaabaab
+babababbabbbbaabbabbaaabbbbabaababbaaaaabaaabbababbaaaabbaabaaabaaaaabbbaabbbbaabaabbbbabaaa
+bbbbbababaabbabbabaaaabababaaabaaaabbbaabababbabaaabbbbb
+161 118
+bbacbbacbbbbabcacaacbbabccccabaaaccaccacaacaaccabbabbcabccbcbccbabcbacccaaacbaaaabcbababcbcbaa
+bacbabbccbbcccabacbbbcaacbabbcabaababcaccaccbcbccabbacbccacccaa
+acbabaacacabcbabaacbbacbaaccabccccbcaacbbabaaabbacaaaaacccabaabcb
+bbbcabccacbcbcaccbcbabbabaabcccaaaaacbababbbccbccccbcbaaabaabbabacacccbaabcaccbaabaabbbacabcbcabbab
+cabaabbbbbacbcbacacbbccabccacaaabacaccababccacccaacccbcbccacbbbcaabcaa
+acbcaacaacabcbbacbccacbbaaacacccbaba
+aacaacaaccabbbacbaabcbcbaaccbcbabcbabbbbbaaaabcbabcbcbbcbaba
+aaababbcccbacbacaaaaaaacaaabcaccbaaabaccacbaaacbcacabacbacbcaababbccacbcaccbbaababbaacbbbbabcaabcacbbcababbc
+cbbaaaabbcbcccbbcaccacacbbcaccbbbbacabcbacaababbacbcaacbcaabcbcbababbcccbcccbabbaccabbcccabcbcc
+abccabaccaabacbaa
+cbbbccacaacbbacabcaacaabbaccaaaccccbabcabcacbaccacbabbababbcaccccbaaaa
+acbbccabcbbcacaacbabbbbcbcbbbbcbabbba
+bbbcabaabccbabccabcaabbcccacbccabbccaabccbcaccccbabcbbaababaccbcbabaacccacacbcbaaabccbccbccbacccbbcbcbcbaabc
+bbaabcaabbbababbccacbabaabbabacbcacbbaaacbcaacabccbbcbcaccbccabcaccbccb
+cbaccaabbabccaaaacbacbcaabcbcacbbbbcaacbcabcbbcccacaca
+abcaacbbcbccbccbbabbcabacabaababcbbacacaabbacbbbaccababcbacacabbcbbcbbbabbacbbbcabaabacabcaaa
+cbbcbaacabacbcabcbcaababbaccccbcbbb
+cbacbaabbbaacabacbbbbbabcbaaccbbacacacbbbaacbbaccbbbbcaccccab
+abacbcaabbbababccaa
+babacbacaaababcaaabaacccba
+aabcaabaccacbbcabaac
+cbaabbacbbbaacababcbabac
+baacbbaaacbcabaaaaaaacabbaababcbabbabaabbbabacaabccaacbbaacbccbbaaccbaccbcbbc
+acbbbaaaaacbabcbaaaaabbbabbaaabacccbaabbbcba
+accabbbacbaaaccacaa
+accbbabbaaacabaabacabcbccbabaaabccbab
+acabacaacaabcbaccbbbbaabaacabcccbacabab
+ccbabbababbccbbaaaaacabaacabcccbbcbccccbabcbbbabaabbbbbbbcbaabbbbabacaaacbbaccbaacbaccbbabacaaaa
+cbbbcabccbabbbabcbbccaaabcaacacbacabbccbacbacbcbaabcbabccccbbacbabaacabbaacacaaabbaccccaaaa
+abbcccbabcbaccbacabbccabbacbcacacccbbbbabaaabbaabcaabbabaccbcccaccccccaabaabbacccaabbbaccbabcbaba
+aaabacacabccabaababbaabbcbbbcbbcabb
+ccbbbbabcacbabbcbbbbacccccbc
+ccbccaaccbaccbbabccaaaaaababbbbaaccaaccbccbcabcaacbcabccacbbca
+bbbcaccbcccaca
+aacbcbccaaccbcbcccacabbbaabbccbcccabbcacccbbccbccaaacbbabbaababcbbcaaccbabaabaacbcaaccaaacabcaccbcaaa
+aaaabbcaccbbabaabbbcacba
+abccbbbbbbabbbacbbcacbaccbcccbbccbbbaacbbabbacccabbaccacaacbcbbbbcabbabcacacbacbaacbcaacbbacacaaccbbc
+cbbbabaccabcccbccbaacbacaccbcabbbccabcaccbccc
+aaabbbcbbcbcaabbacaaacbbabbcbccbabccbcbbbacabaccaa
+aacbbbbabcccababbabcaacaca
+acaabbacaacabbaaabcaaccaccabbabcabbaaabbccaacaccaacacbccbbcbbaabaaba
+cccbaacbabcababbccbabbaacccccbbbabbabbcccbbbcaabbbbccaacccccbccbabbc
+acccbaaaaacbcabcaacccabcacababaccccbabcacabcababbbab
+cbbaaccbabcccacaabcabcacbabcbcbbabcbcbcababababaccccbaaaaaabcbabaccaabbabcbaacc
+cabaacacabbbaaccacacbbabaccabbbaaabaabcccbcbbbbbbacbbbababcaacabcabacbaaabacbcaabbbbcaaaccbbccaabcaacb
+bbaaaaabbaabbabcaaacccaabbbccacbcbaccacb
+caacacaaccacbaabcacbaccccbacababbccbacbabacccabbbbacbcabacbc
+aacbcbbcbaabcbcaacbacabacabbabcacbacccbccbbababcbbbaababbcaaabbccbcbacbaccbaccccacaaabbcbbabcacccacbccbcbccba
+aaabbcbaacaccabbaaacaacbbccbabbccbbccccaaaabcabcbccccbababcccabacabbcabbaaccbca
+bacabcbcccbbacbbcbacccbaaaac
+bbbcbcabbccabcccccbcbbcbabaccabcccaaabacbbbcbacabaaaccacabaabbbaaaccbbca
+bbabacccbbabccbabcbbcbccbccaababbcabcccbabbbaccbbc
+abbbaaaabccabcbbbacbbcaacccaccaacacbaabcacccbbbbabaacccbcccaccbbcaacbbabbbaac
+aabbcaaacbbabbcacabaccbcaabcccacaaccbabbbaaaabbbacabcccbb
+bccacbcaabaabbabccbcabcbbabccbbcbbbbaac
+bcccbacbbcbcaccccaabbbccaabaabaababbbcbcbacacaacaccbacbaaacbabbcbcaaccaabcbcbcabbcacaabbaaabaaabbabaaaabc
+cbabbaccaacaabcacccccacbabaababacabbaaacbbaabbbabcbbcababacbabcaabccac
+bcbaacbbaaacabccbcccaabbaccacabaacaacaaabac
+bccabcaaaabcaabccaabcbcaaaaaabaacaabacbcbbaabacbcbcbabccbccbabbbaaabcabbcccaaabccbaccbcbaac
+ababbbbbcbabbcbbacbbccacbacccbcabaabbcabcaaacaabbaccaaaabaabcaaabcbccacbcbbbbaaccbbababbcbba
+bacacbcbcbacbaaccbccaaacabaaacabbcccacabbaaabcabcbccbcbcbcbcabcbbbabbcbaaacb
+bcbababaacabaabcabbacabbbacbaba
+cbacbabaacbcabbbbbccbaaacbabccacabaccaccabbaaabbcbbbbccaabbcaaacbbabbaacbaca
+bbccbcabbbbabbcccababaabcaccacbac
+bcaabababcacbaabbccabcbabcaacbacccaccca
+aabbcccabaacaabbbbbcbaaacacacaabbcccbabccccabccaabbaabaccaaacbbbbbaabbabccaaa
+aaacccbcababcbbaccacabccabcbbacaacacbccbbaccacbcacabcabcabcbaacabcaabccbbcacabbcabbcaccbbb
+babccacaacacbbbacbbaabccbaaaccbacbaabbaacacbbcbcbcccbcccaacbccaabb
+baaabccbbacccbccaacabaaabcbcbbcccacbccbcccbcaacacccbaaaaacbbaccbaabcabacbbaabcaaccbcbbcbbba
+ccccaabcbbbabaacbcbbbcabb
+acacaccababbacacaabacacbccaacbcbaabacbbacabcbcbc
+ccabcaacccbccccaaabaacbabbbcbbabbaaabababaabbbcabccbcaacbaaccabbbcccabaccacbaaccabbccbbcbbbbaaaabc
+bbbbccacbccaaabbcbcbaacacccabcbabaaccccccbbabcbbaabbabccaaabcbccaaacaacaacacbbcabbcbbaabacaccbababccabcb
+cbbabbbabcbbacabacbababbbbaccbbbcccacbbbccaacbcacaaccaacacbacbabcaacbcabacbabacbc
+bbcbaacbcbaaabaccbcaaacccbbccabccabaaabccaaccbbabacccaccbbcacabcbccccababccccbaccaaccccca
+bbbaabcbbacaabbbcacaabaaacbbbcaacbaacacbcababbcacabcabacabcccabbbaacacbacbcacccaacbacaabcabcbc
+bbabcbabccaaccaaccbbabbaaabcacbaacbccabacaaccabbcacbbabaaaacabababcbcbcaaabbcacbacbaacbac
+baccbbbcabcbabbacaaaaacaacaaabacbbcbaaacbacaaacaaacc
+cccacabcacaccabaaabbbbbaaccabcaabcabbacababbaaacababb
+aabcaaabaacacbc
+cccbbabcbabbabacaaaaaabcbaaacaaccabcccacbaaccabcabbcbbcccaababcbccbcbaababbbcccb
+bbaccbbbabababbcacacbbacbcbccacbbbcacbabcaacbaaacbbababccaabbccaaababaccacccbabababbbacca
+cbabcacbccbccbcbbcabbbabaccbcabaaabcaabbbbaaccacacbbabbbbcabbbcaa
+bccabcbccccbcaccaaaabbabbcccbcccaaaaaabbacacaa
+bbbccbacbbccacbcbabcbccabbbaabbbbcbbabbbabbabccbccbacbaacaabcbbbbcbbaaa
+cabcaabbcabacabbaacaaaccbacaabbbbcbbbcabaabcbacabcbcbba
+caccaabaacbccbbbbaaaaacccbcacabacbbbcbbbcbacbabbbbabababaaaaccbcaabcbcaaab
+aaacccabcabbbaaaabcacbbbaccabbabcbacbaacaccbabcaaccccabcbaacbabccbccacaabbbacbbaabbaab
+acbabcbcccbccbaaacabacbaabbabcabbacaaabcbbabbcbbaacbabbcabcacacbcccbacaabcccccccaabcb
+baacaaabcbbabaccbcbabbbbaacbaabcaabaacacbbccbacaacaaaabbabbccbccabacaaccbaccbcbbbbbcbccbacbbcbacbabcbaab
+cbbaaccabcccbccaacbcbbabacbbbcaababcbcaacaacbcacbababaccabbaabcbbaabbcacbcbcbbaacbccabaaabbcabcbbaaba
+cbccabaabbbccaccbaaabacbbcaababacaccbbbcbcacabaabacc
+bbcbaabbbccbcabaaaaccccabbcccccbbaacabaabacaabacaaaabbbababaacaacbcbcbbbcbaacacbcccbbacabbccbb
+cbccbabcaabaaabcabaccccccaabcbbcbcccaaaabbaababccacab
+bacbcacbabbccbacabbaccccabcacbaaccabacacbbcaccabacccaacbbaccccaacbcaabaccbbaccccbbacaabbbbbcabccccaca
+cbbabbbbacbabcbacbbccbabcccbcbaaabcaacbacbaacabbbbcbbbbcbbabbabccabcbbaaaaaabbaccaccabbacaaaabbaaacabbbaccc
+bcabbcbcbcbaacbabbcabcbccbaacabcccabcacbbabacacbbbcbacacaccaaacaabbacacbcba
+cccaabccccbcacbabbaaaccbbcbbcbccaacabbaabcbaaabcccacaabacbbbaacabbbbbaabaaccbbaccacccaacacabbcaaaba
+cbaaacabacaccaabbabbacabaaacccaaabcaaaaabbbcbcaaabbabcacbbcabbccbbacabababcbabbccbabbbabcbccbb
+baccacccaacbbbaaabbaaaccaccbbbcbbbccbbbaccacbbcabbcccbbbaacaaacaabcccabaabbaccbcccacbacabbbcaaacbbbcbbbbbac
+bbbbcbaabbccbccaaacabaabaccabcbabaccacccabaabcbbcccbcbbbccccaccccbcacccaaaabccbbaabbbcbabccacbaa
+cbbaaabbccbbacababbccaababbccaccabacaccbcaccabacbbcabccacabcaaaaccaccaabbabcabbabbbcbcbba
+bbaababacbaacccb
+caaaccbabccbbbcccacabacbcbbaabccbacbbbbcbcaacbaabacbcacbaaaaaaaabbcbccaccbccabacaab
+ccabbacaaccbbccccabbaabccaacaacbbcabbbacab
+cbbcaaacbbbccabacabcaaabacabcbbbcccbabbbbaabccbcabccacccacbba
+baabcbccbbacacbcbaacaabbbcaca
+bcbcacccaabbaabbbbacaccabbbbcb
+bbabcabbcb
+bbaaaabcbcabbcacaabacaccbbabcaccbaabcab
+caabacbbacabcbcbaccbbabaaaacbccbbcbaacbcbaacbbbaaacbacacacacacbbabacccbbcbca
+cbacabcbabaccaccb
+cabaabcaabccabbbaccbcbcaabbbbbabacbbcaabbccbbcbcccbccccabcacababcaabbbca
+bbcbabccbaaabaacccaacccbacbaaacacbcbbcacbcbbbaaabcabaaccbbacbbcaaa
+bcaccaabccccbb
+aacaccccccbabaabcccccbaaacbbabbccbbcbabccabcbaabcbac
+cabbaacaaaabbaaaacacbabacaabcbaacc
+ababbcabccbabbbbbbccabbabbaaccbccaababcbabcacccbabccbcbacacaccbbbbaccabcabaaaabccacbbbbabaabacac
+acbcabcaaaccccbbacaabcccabcccacaaabaacabaabbcbbcabcbabbcaaaabcbcbbabbaabaacbbcc
+cabcabccabcbabbabbcacbbcaaaacbabcccac
+bbccacbcccacccabacacbcabbabbcbabaaaaccabbbaababaabcabaaabcccababbcba
+acbbcabbabcbaccbccbcbccbbccbbacbbbaacaababaaccbcbcacaaacacbcbcbaacababbaabacbccbaaaacacacab
+cbcbaabaacbacabcbcacbcacaabaababbaabbacbcbccaaacbcbaabacbcbbcabbbaaccbcbbcbbacbacccabcaaabababcca
+cbcabaaaacbbbacbcccacaababaabbcacbabccbaabcacbcbcbcacacca
+abacaaabcabbcbaccbcbacabbbbccabcbcacacbcac
+cabbcaabaccbcbabbbcaccbbcbcaabcbbbac
+baaaacabcbabbccbabccbcbacbbabcabcaacbabbbbccaacabccbaaacccbaabcbaccbbacabccbcababbbaccacaaba
+accbcbbbcacbbbcabacacaaccbbababaccbbcccbcacabacaccbcbbbbcbccbccbabccccaabbaaabcbacab
+cbaccccbbbaabccabccaccbaaabbbaccbaccacca
+bbbaacacbacabaabbcccbcaaaaabccccbcbbbacbccccbbbcaabcccaaccaababbacb
+ccccabacbacacabccaccbaabbaccccccbcaaac
+abacaabacbbaacabccaacaacbc
+baaabcbabccccbcbaacacbcbaabbcaccababaaaabccabcaacaacccbaabbcabaaaabccbbbaacacbacbbabbaaaabcaabacccacab
+bcccbbabbabbbbaabbcbcbcbacaccbaacababbacacbccabcaaccccabbbcbccaccccbbaaacbbbccaacbcabaababcbabacbbacaa
+acbacabbccbaccaaabaacccbaacccacacbcbacaaab
+bccabccaacabcbbcabbababaabccaaaacbacaaabaaabccccbcabaacbcabbbbbbabccbbabcbcbbbcbcaabaababccbabcb
+caccabbcabcaacbcabbcbaac
+aacaabacbcaaacbabbcbcbcbacbaaccaabccaaaaaabccbacacbabbc
+bcaaabcacbacbabcacacbbcbbbccacbbcccbbbbcacabcbcabbacccbc
+bbbaacaaacbcaacabbcbbbccccaabbabcabbbacaaccacabbbaaabcaccaccbabbbaababcacacbaaacbaaabacba
+baabbcbaccbbbacbbbabbcccbbabaccbcccbcccbabcabcc
+cbbaabbccbaacaaabbbbabbccbccbcacaacbcabcbccaaaac
+aaccbbcaaaabcabccaccccacbbabaaaccaabbabcabcbaccbbbccca
+bcbbacabcbbcaaacbbabbbbbcccaabbabbbbaaaabacccacaababbcaccacccbabcababbbbcbaacababbcbc
+abccbbabbcaabcabcaccacaacbcbbbcbbaabaabbb
+aaabccabacaabaaabccbcbccbacccaacbbbbaaabbcbbaabbacabcbba
+abccabbaaaaabbba
+cbcbbacbbbbabbabaabbbacabbbcbcccabbabaabacbcabbcbbcbabbcccacaccbaaabccbb
+cabacaabbaccbabcbbabcccbabbcacabaabaaccaabcababbccbabaaccabbaabaaaaaabbbcaabbacbaacbabbbaccbbabaccabcbaaa
+abbcbbbcbbcbcacaacbbabaccacccacaacacbccacbcabaaacaaaacbababccbacccaabbbccacbabcbbacbabaaaaabbccb
+baaccbbbbbb
+abbabcabababbcabcccbcabbcbbcaccacaabcaabacacabcccbbbabcbaaacabaacbacbcaaccccccabbbccaa
+aabbbababbacbbcabaccaabbbbcaaacb
+babaabcabbcbcbcbbcbabbbbbbcbabaaabcacbacabaabcaababcccacbaabaaccabacccbbbbbaaabcbacabcbaabccccbacbccb
+cbabcbbacaabcacccbabcbcbbcacabcaacbccbcbabccbacacbcabbcccbbaabaabbbacbbbacbaccacccabbbccacabccbcbb
+caccbcaabcaaccaaacccccbcacabbcabbaacacabccaaaaabcaaccbaaabb
+abcbbcbacbbcacbbccccaaacaaacbacb
+baaabaacccccabccbbcbbabacbbbbcabbcacbccbcccabbbbbbabbacccaacccbbca
+babcacbcbbcbacacaaabccaaacbbabcbbccaaaacbcaaabccccaacaacacbcccbacbbccc
+bcaabaaaababbccaaabcbacbaca
+babaacabccaababbacbccbbbcbccbbcbaabacbbccababacb
+137 96
+babbbaaaaaababbbaaabbaaaabaaabbaaababbbbaabbaaaaaaabbbaababbaa
+baabbbaabbbbbaabbabbbaaaaaaababaabaaabaababbaaaabbbaaabaabaaababbaab
+baaabaaabaaaabaabababaabbaabbbbaaaaabbbaaaabbaababbbbbbbaabbaaaaabaabbbabbbbbbaaaababba
+bbbaaaaabbaaaaabaabbaaaaabaaabbabaaabbb
+aaaaababababbaaabbaabbbaabbbabbbaaaaabbbabbbabb
+baabaabbaaabababaabbaabbbabbba
+aabaaaabbaaabbabaabbaaaaabaaababbbabbaabbbabbaababbbbaaaabab
+bbbbaabbbbaaababbbababbabbbaaabbabaababbbbbbaababbbabbaaabbbaaaab
+bbabbaaababaaabbababaaa
+baabaabbbbbaababbaaaaabbaaababbbbaabbaabbabbabaaa
+bbbaaaaababbabbbabbbbbabbaaaaabaababbbbaabbbbaaabaaaabbabbabbaabbbabbbaaabaabaa
+abbbbabbaababbabbbbbabbbaaaaba
+bbbaabbbbaaaaaaaababbbabaaababbaa
+babbaaaaabbbbbbbabaabaabbbababbbbbaababaaaabbbabaabbabbaabbbbaaaabaababbbabbaabbbbabaaaababaaa
+bbbbbababaabaaababbababbbbaabbaabbbbaabbabaaabbaaaabbaabbbaaabbbbabaaababbbbabbbbbbabbaaabbaaaaaa
+ababbababaaaabaaabaabaaaaabaabbbbaabaaabbaababbaaabaaaabaabbbbabbbbbabaabbababbabbababbbababaabbaa
+aabababbbbbaabbbaab
+babbbbabbbabbbabbababbababbaababaaaaabaaaaabbbbaabaaababbbaabbaabbbabaabbbbaababaabbabbbaabbbabbbba
+aaabbaababababbbbaaababbabbbaaaaababbaabbaabbbababaaaaabbababa
+ababbabbababbaaaaaaabbbabbbaababbbabbababb
+bbaaaaabbaaababbbbbabbbbaababbabaabbbbbaaabbbbbaabaabbbaabbbbbabbaabbbbbababaaa
+baabbaaabbbaaabbabbaabaabababbabb
+bbbababaabbaaaaaabaabababaaaabbaaabababbaaaabbbbbaabababaaaabaaabbbbaaaabab
+abbaaaababbbaaabbaabbbbbaaabaaaabaabaabbbabbbbbaaaab
+bbabababbbaaaaabaabbbaaabbbbbaaabababbaaaabaaaabbaaaaaabaabbaaabbbaaababaabbaababababbbbabbbbaabbbaba
+babbbaaabbbaabbbbbbbabaabaaabbbaaaaabaaabbaaabbabbbbbbabbbabbaaaabbaabbbaabbbaaa
+abbbaabaaaabaaabbabbbabbabaabaaaabbbbabbbaaababaaabbaaabaaababaaabbbbaabbaaabaababbabaaaa
+baabaababbbbaabbabaabaaaabaabbbbaaabbbbaaabbbbaaaaaabbaaabaaaaaaabbaababaaabbbbbbbbbaabbbbbbabababbb
+abaaabbabbbaaaaaaabaabaabaabababbbbaabbbbbabbaabbababbbaabbabaaaabaabbaababbbaaababbabbbabbabbbababaaaabbba
+ababaabaaaabaabaabaababbbbbabbaaabababaaababaaaabaaabbba
+bbbabbabbbaabbabbbabbbaababbaaabbaababbbbbababaaaaaabb
+bbbbabbababbabaaabaabaaaabbbabababaababababbbabababbbbbbbaabbbabaaaaabaabaababbabbbbabaabbabbb
+baaaaabaaababbabaababbbaabaabaaabaaaabbbbbabaaabbbabbababa
+bbabbbaaabababbaaaaabaaaabbbbabaaabbabaaababbb
+baababbbbabababbaaaabbbbbabbbabbbbaaaabbabbaabbabaaabbabbbbbaababbbbbbbabbabbaa
+bbaaaabbab
+abbabaabbabaaaabaabaabbaabaabaabbababaaabbbaaabababbaaaababbbbaaaabbaabaabaababbbbbbbbabaabaaaabababbbababbbb
+aabbaabbaababbaabbaaaaaabaaabaabaaabaaabbbbaaab
+abbaaaaaaabbaaababaabaaaaabbbabbbbbaabbbbabaabbababbaaab
+aabaabbbbabbababbabaaaaaaababaaabaabbaaaabaabaaababbaaaabbbbaababbbabbbbbbabaababa
+abaabbaababbbaabbbab
+baabbaaabbaaaaaabbbbaabaabbaaba
+abbbbaababbaabbabbbababbaabbbbbaabaaababaabbbabbaaab
+aabaabbbbabbbbbbabbabaababababbaaabaabbbbbbabbbbbbaabbbbbaaaabbaaabbaaaaaaabbba
+bbbaaaabaababbaababaaaaabbabbbaaabaaaba
+bababbbaaaaababaaaabbbabaaaababaabaabaaaaabbaabbaabbbaabbaaabaabababaabababababbbbbabbaaaaaa
+bbbbabbababbbababaabb
+abbaaabbaaaaaababaabaa
+aababbbbbaabababbbaaabbbbabbbbbaaaaabaaabaabababbabaaaaabaabaaaabbaababaaabbba
+ababaaaaabbabbaaabbbbaabbbbabbaabbbaababaaabaabbabbbbaaaaabaabbbbaabbaaaabbbbbabbbbbbaaabbbb
+abbabababbbbbababaababbaaabbbbb
+bbaabaababbbbbabbaabbbbabaaabbbabbbabbabaabbbbaaaaaabbabbaaaabababab
+aaaabbbaabbbbbbbaba
+bbaabbaababaabababababbbbaaabaaaabaaaaabbaabbabaabbbaabbaaaaabbbaaabbbabbaababababaaabbbaabaabaaaa
+aabababababaabaababaabbaaaba
+bbaabbabbaabbbabababbababbabaabaab
+abaaabbbbababaaababbbaababaaabbbbaaaaabbba
+bbaabbaabbaaabbabbaaaabbba
+abaabaaaaabbabbbbbaaaaaaaabbababaaabbbbabbaaabbbbaabaabbabbabaaabbbbbbaaabbbabbaabbaab
+baaaaaaaabababaaaaabaaabbbbaaabaababbaabbabbbbaaabbaaba
+babababbbbbbbbbab
+abbaabaabbababbb
+abbababbabababbbbbabbbbaabaabbaabbabbabbaaaaaaaaaaaaa
+babbbbbaaababaaaab
+aabaaaaababbbbaab
+abaabbbbabbbabaabaaabbbbaaabaabbaaaaaabaabaabbbbbbbaaaabababaaaaabb
+ababbbbbaaababbbbbbaaabbaabaaababbbbbbbbbababababbabbbbabbbbbaabbbabbbbababbbabbabaaabbabababbb
+abaabbaaaaaaaabbababababaabaababbbbbbabbaaaabbbbabbaaaaaabbbabaababab
+babaababbbbbbbbbabbaabbbababbaa
+bbbbbbababaabbbabbbabbbaabbbbaaabaababaabbaabbababbabaabaabbbbbaababbaabbababababbbababaababaaaaaabbaa
+abbbababaaaaababbbbbbbbabbaaabababbababbaaabbb
+babbbabbabaabbaaaaabb
+aaabaababbaabaabaaabbabaaaabaabaabbaabbbababbabbbbaaaaaaaababbaabbbabbaabbbaaabbabbaabababb
+baabaaabbabbbbaabbbbaabbababbabaabbabaabaabbaaabaababbbbbbbaaaabaaabbbbbbbabaababbabbababbb
+abbbaababbbabbababaabbbbaabbbbbbaabbabaaaabbbbababbbaabaabbbbaabbbaaabbababbaba
+aabbaababbaaaa
+aaaabbaaaaabbbbbabbaabbaaaaabaabbabbaaaaaaababbaaababaabbaaababaabaabbbabbaaabbabbabbaabababbabbabbabaabbabba
+baabaabbbaaaabbbabababaabababbaabbaabbbabaaabbababaababaabbaababbbbababbaabbabbabbbbbabbaabbbabbaaabaabbbba
+babbbaaabaaababbbbbbaabbaaabbbbabbbbabbbbabb
+bbbbabaabaaabbabbbaaabbababbbbbababbabaaaaaab
+bbaababaaababbaab
+aaabababbbbbbabaabbabbaabbbabaaaaaabbbbbbbbaabaabaabbabbbbbaababaabaaa
+bbaaabbbaabababaabaaabbababaaababababbbabbabababbbbababbaabbabbaaaaababaababababbbbbbaabab
+aababbbbaaab
+bbaababbbaaabbaaababaaaaababbbaabaabbbabababaabbbbbaaaabbabaaabbbaabbaaababbaaaabaab
+abbabbbaabbbbaabbbaababababbbbabbbba
+abbaaabbaaaabbaaaabbbabbabbaa
+abaaaabaaabaabaabbbaaabbbaaabaabbbbaabaaabbbaababbbbaaabaabbbbaabbbbababaaaba
+babbabaabbbbbbaabaaabbabbbbbaaaaaabbbaababbbabbbbaaaabbbbaaaaaabaaaabb
+abaabaabbbabbaaaabbaabbaabbabbbaaababbabababbaaaaababaabbaaabbaabaaa
+aaaabababbbabaababbbbabaababaabbabbaaaabbbbababbbabbbbbbbabababbaaabbbbabaaaaaaaababbbbaababbbbbbaababbabbba
+ababbaaabbbabaabbaaabbaababababbbbbbbaababaaabababbbabaaaabab
+abaaaabbaababbabaabbabbabaaaaaaabbbbbabbababbbaabb
+aaabaaaaaabbbbabbbbaaabbbababbbaabaaaabbbbabbbaaaababbbababaaababbbbb
+bbaabbaabaaabaaababbbabbabaaaaaaabbaaabbbbbbaabbbbbbbabbbabaabbaaaaabababbabbbbabbaabababaaababbabbbbbababab
+ababbbbaaaaabbababaaabaabbbbaababbaabbbbbaaaabababbbabbbbbababbbbabbbabbbbaaabbaababbaababababbaab
+abaaaababbbababaabaabbbbbaababaaaabbababbaaaabbbaabbbbaab
+aaabaabaababbbaaaabbbaababbaabbabab
+abbbbaababaabbabbbb
+baabbaaaaabbabaaab
+aabbaabbabaabaaaaabaababbbbaabaaaabbaaabbbbbbbaaaaabbababbabbaabaababaababbabbbbbbbaaaabbbb
+bbbbbbabbababaaabababbbbbbaabbabbabbaaaabaabbabaaabaaababbaabbaabbbaabbbabbbbbababaabbbabababbbabaaaabab
+abbbababaabaaabaabbbaabbbabbaabaaaabbbabbbabaaaabaaaaabaabababbbaaaababababbaabbaabaabababbbbabb
+aabbbabbbaaaaaaaababaabbbababbaaaaabbababbaa
+bbaababbbaaaabababbbaabaabbbababbaaaabbaaaaaabbbabbbabbaaabbba
+baabbaabbabababaabbbababbababaaabbbbabbbbaaaaabbbbabababaaabbabaaabbba
+abbababababbbaabbbbabababbbababbbbbaabbbaababaaabbbabbaaaaaabbabaabbbbaa
+baabbaabbbbabaaaabbaaaabbaabababaabbbbbaaabaababbabbbababababaaabbbabbbbaabbaabaabaabaaaaabaaabbbabbaba
+abaabbaabbbbaaabbbaababbbaababbbabbaababbabbaaabaabbbbbabaabaaababbbaabbabbbbaabaabbbaaaaaa
+abaababbbaabbababbbbabbababbaaabaababaabababbbbaaabbaaabaaab
+bbbbbaaababaabbaabbabaabababbbbaabbbababaabbbbbabbabaababbbbaaabaabbbabaabababab
+aababbbabaabbbaaabbbbbababbaaabb
+aabbabbbbbaabbbababbbaaaaaaababbbabbaa
+aaaaabbabbbbbabbbbabbbbb
+bbbababbbbbbbaabbbaabbbabbabaaaaaaababbaaaaaaaabbbaaaaaaabaababababbabaabbaabababaabbbbaabb
+babababaababaabbbababbababbbbabbbbbbaabbbabaabbaaaababaaaaabaabaaaaa
+bbabaaabbbbabbaabaaabababbbaaaabbbaaaaabbbabaaaabaabababaaababbababbbaaaaaaaabababbbaabbaaababbbaaaabbb
+aaabbbbbaaba
+babbbabbaabbabaabaabaaaaabaababa
+aabbababbabababaaaaaabbababbaaabaabbabaaaaababaabaabaaababbbabbbbbaab
+baabbabbbbbbbaabababbbbabaabbabbaaaaaabbaabbbabaabaababbbbbbbbaabbabbababaabbb
+abbaabaaaaabaabbaababbbbbabaabbbbbbaaaabaaaabbababaaaaabbbaaaabaabbaba
+bbbababbabbbaabaabbbbbabbaabbaba
+bbaaaabbbbbbabb
+baabbaaabbbbba
+bbaaaabbbabbbaaaaababbbaaabbabaaabaaaabbbbbbaaabbbbaaaaaaaabbaabaabbabbaababbaaabbbaabbaabbbaba
+aababbaaaaabaaabbabaabbbbaaabbbabbaaaaaaabbbabbbbbbbaaaaaaaaaab
+aaababbabbbabbbbbbbbababaaaababbbabababbaaabababbba
+bbbbbbbaabaabbbbbababbbababbbababaab
+aabaabbaaaba
+babbaaabaaaaaaabaaaabbaaababababaabaabbbabaabaaabbaaaaaaaabbbaaabbbb
+abaaaaabaaabaabaabbababbbabbbbbaabbababaabbabbbabbaaaabbaabbabaaabbaaaaabaaaabaabbabbbabbabaaabb
+abbabbbbaabbabbabaabaabbbabbaabbaaba
+babaaabbaababbababaaabbbaabaaabbabaabaab
+babbbbbbababbabbaabbaabaaaabaaabbbababaaabaaabbbbbbba
+babbaabbabaaaabbababaababaaaaaabaaaaababaaababaaabbaababaabbbb
+baabaaabbaabaaaaaaababbb
+25 23
+ccacacaaccacaaacabaca
+bcabbabaabcbaccbbbcccacabcbcbcacbbbacbcbbcaaabaaaacaabbccbaccbacbcbbaacccbacbabb
+ababcbaaaaaabbacbbcacabcccbbbacbccbbacbaacacacbcaabacaaabbacbcaacacaabbacccacabacccaabaabbbbccbacaababbcbba
+ccaacbaaabacb
+cccaabaabcbabbcabcbbacbbaaaccbabcbaaacccbbaaccaaabccbcaabcbabacbbcbaaccacbacabacaacbbbcccbbcb
+ccbbbaccbaabaacbcacbabacaccabbaabccabaaaaccacaacbacccbbccaccaabcbaaabbacacaacc
+bcaaabcbcbbabacaccbcbbcaaaaabbcbcbbaacbcbaabcabcbbccccbbbbbcccabbacbacacaaacaaabacaacaacbabbbbaccccaabcc
+bcbbcbaacccaaabbccabbcaabacbaacaaacc
+babcbbcaccacacbbacabccbbababbbcbccccbbccacababbcbacccbbbbbcbcccbcaacccbbbbabcbacbbacabbbbccccbbacaaacaabcccb
+bccbbccabbbacbcccbcccbbbabaabbabbacbbabbbabcbcbabbbacccbbaccbcbbbbbcacccbabcacbbbbbbbccacbcccabcaacacccbbbaa
+caaccabaaccacaabbabcbcbbabababcacabbcccbacaaccbbcabc
+ababcabaccbcaaaacaacacccbcabccaacbcbcacbbcbbbcccbcbcaaaabbcbc
+aaccbbaacaacbbbcccabccacaaacaaaabacabcbccbbbbbcacaaabaaabbccabcaacbabacbbaacbccbcbaabcbbc
+bbcccabaabbbbcbabbcbcccaacaaaacbaacabbaaababbbcacccbbcbbbc
+babcaccbbcbcabaaccccbcbcabbccccbbbbb
+bcabacccccacacbbbacccaaabcaabcabbaabbcbccbcaaabcabcbbabccbabbcbaccaacaaaaaabccbbcabbbcbbaaacbacbbbbaaba
+abbbabccabbacaabacccccacabbaabbaacbaaacccbbbabccababbaaabbaaccbccbacbcacbb
+bcbbbcacbbcaaccacbcbacacccbacacbbcbaaaabacbbabcbacccbabbbabaaababbaaaabacbbabcaccb
+ccaaacbcaccacbabbbbbaaabbcbccccbababaacccabcbccbbaabcbacbacccacbccaac
+abbcacccacbcbab
+bbaabcabbbcaaaacacbbaccbacbabbbaaabbcaaccbaa
+cbacbacababbcbccabbaabccbcacbcaaabac
+aaaaccaabbcccacbabcabaacabbbbbbccaabaaabbcabccabbaacbbbcaacccabbbccbcaacacbaabcccababcabbbaaabccab
+abbcaacacbbaababcaaccccabcbbbbaacacaacc
+ccbbcbbbcccaabacccccbbcacbabcaaabaccaaccaaccabbcaccacacabcacacaabaaabacacaca
+134 69
+abbbbabbabbbaabbaaaaaabbaaabbbbbbbabbaaaaa
+aaaaabbbbbaabababbaabbaaabaabaaaabbababababaaaaababbabbbaabababaaaaabbbaaabbaabbbaabbbab
+babaaabbbbaaaaaababbabaaaaaabaababbabbababbaaabbabababbbaababaababaabbabbbb
+baaababbaaabbbaabaaababbaababbaabbbbabbbbaaaaabbbbabbaaabbbaabaabbabbaab
+aaaabbbbabbaababbabb
+babbabaaabbabbabbbaabababbaaabbbaaabbabbabaaabbababaabaaaaabaab
+aaabbabbbaababbaaaabbaabaababbaabbbababa
+abaaabbbbabbbbbabbabaabababaaaaabaaabababbbbbaabaabbabbabaababbbaabababbbaaaababbbab
+abaaababaaabbabaaabaaaaaabbbaaaabbaabababaaaabbbbbbabaaababaabbbb
+abaabbabababbbabbabbbbaabb
+baabaabbbabababaabbbaababbbbabbaaa
+babbbbbbbbbbaaabbaaabbabbaaaaabaabbbbaababaaaabaa
+babbbaabbbbbabaaaaaaaaabbaabbbbaaaaabaaababaabbbaabababaaabaabbbaabaaba
+abaaabbaabaabbbaabbbbaabbbbabbba
+babaabbaabbabbababababaabbaabbabbbbbabbaabbaaababbaabab
+aabaabaaababbbabbbbaaaabbbbbabbbbabaabbbabba
+abbaabbbababbbbaaaaba
+babaabaaaaabb
+aabbbaaaaaaabab
+bababaabbaaabaaabaaababbabbaabbabbaaabaaaaaabbbbaababbbaaaaaababaaabaaababbabbbbbbaaaababbabaaababbaab
+babbaaaaaaabbaaaaabba
+abbaabaaab
+bbabbaaabbaaaabaaabaaaababbabaaabbabbbbbbabbabbbbabaababbbaaabaabaaabbbaaaaaa
+baaaaabaaabbbbaabaaaaabaaabababbbabbabbaabaabaabbabbbaabbabaabbbabbaaaaaaaabbaaabbba
+bbabaabababbabbbabbababbbaabbbabababbaabaabaabbbaababbbbbbaaabbbbabaabbaaa
+abbbaaaaabbaaabbaabaaaaaabababaababbbbbbab
+bababaabbaaabbbbbbbbbbaaaaabaababbababaabaababaabbababaabbbbbababaababaaaabbbababaabaabbab
+baaaabaaababaababaabb
+babbaabbbaaabbaaabaabbaabbbbaabbbabaaaaaababbabbbaababbaababaababbbababaaabababaabaaaabababbbabaabbbbabbb
+bbabbaaaaaaaabbbbbaaaabaababbbabaa
+aabbaabbaabaababaaaaababbaabaaaaa
+baaabbaaaaaabbbabbaabbbaabaabaabbbbaabbbbaababbbaabbbbaaaaabaaaaabbababbbbbbb
+bbaabbbbaabbabbababbaabaabaabbbaaab
+ababbbabbaaaabbaababaaaabaa
+bbbabaaabbbbaaaabbabaabaaaaaaaabbababaabbaabbaaabbaabbbbbabababaababbbaaabaaabbaabbbabaaaaaab
+baaaaabbaaabbaaabaabaabaabbbbaabaaabbaaaaaabaaa
+aabbabaabaabbabaaabbbaaabbabbbbaababaabaaaaabababbaaaabbaaaababaababbbaaaabbabbabbaaaaa
+bababaabaaabbaabbabaaaaabbbbaabbbbbbbababbaaabbabbaabaabbbbbbbbaab
+aabbbabaabbbbab
+aaaabaabbababbbbababababaaabaaabba
+ababaaaaabaabababaabbabbaabbaabbbaababaaaaabaabaaababbbbbaaaaabaaabaababaabbbaaabbbbbabbbb
+aaaaabaaabbbaaababaaaabbbbaaaababaabaaaaaaababababbaaaa
+babababaaaaaaaaabbabbbb
+bbbbbbbbbabbaabaaabaabababaa
+ababaabbabbbbbababbbbababaaabbbbabbaabbbaabbbabbaaaaabbaaaaabaabaab
+aabbbabbaaaabaaabbbbababbbaaaaabbabbaaaaaaabaaaaabbbabbbabbbabbbabbbba
+bbbaaabababbaaababaabbaabaabaaababbaaabbabababaaaaabbaababaaabbabaaabbaabaababababbaaaaaabbabbbabaa
+babbbbaaabaabab
+bbaabbabbabbaaaabbaababbaaa
+baaaaaabbabababbbaababbaabaaabaaabaababbbbbabbababaaabaaabbbaababbabab
+babbababaaaabbabbaabaabbbbbbabaaaaaabbbaabbababaabababbbbbbababaaaababbabbbaabbbabbaababbbbbaabaabbbbaaaabaa
+bbaababaaaaabaaabaabbbababbaabaabbbbaaabbbbbbbabbbbbbbababaabbbbaabbabaaabbbbbaababaabbaabbbbb
+aaabbaabbbabbbbbbaaaaaabbaaaabbbbabbaabbbabbabaabb
+babbbaaabbbbbabaaaaababbbbbbabbabbbabababbbbaabaaaababbabbbaaabaaabbabbabaabbaaaabbaabaabbbbaaababa
+bbbababbbaaababbbbbababbaabaababbabaaabbbbbaababababababaabaababbbaaabbbabbbababaabaaaabaaa
+abbaaaabbba
+bbbabababababbabaaabaabaaaabaaabababaabbabbbbbabaabbbabbaabbbabaabaaaa
+bababaaaabbabbaabbabbbbbbbbababaaaaabbbabbaababbabaabbabaaabaababbbabaababa
+aabaabaabbbbbbbbaabababaaabbaaaabaaaabbbbaaaaaaaaabbabbabaabbbaaaabbaabaaabbabababaaaababbabaaaba
+bbbbbbaababbbbbaabbaabbbbaabbbbaaaababbbabbbbabbbabababaaababbaaabbaabbaaabbaa
+babbbbabbaaaabbaaaabaaabbbaaaaaabaaabbab
+abbababaaaabbbbbaabaaaaabbbbbbaaabbbababbabbbaaababaaabbabaabbbababbbababaaabbabaaaaaa
+baaabaaaaababbababbbabaaaaaababbabaabbbbaaaababaaabaabaaaabbabbaaaaaabbbaaaababaabbbaaaabab
+baabbbaaaaaabbbaaaaaabaabbbaabaaabbababbbaaababbaabababbaaaaaaaabbbaaaba
+abaaababbbaabbabbbabab
+babbbbbbbaaabbbbbaaaaabbababbabbabaabbbaaaaa
+bbbbbbaabbaabbabaaabbabbbaaaabbabbabbbbbbbabbaabaaabbaaaaabbaaabbaaab
+aabababbaaaabbabbabaaaaabbaaaaaababbabaaaaaaaaababbababbbbabbbbbaaaabbbbabbabababababbbabbabba
+bbbbbbbbbbbbbaaaaaabababbabbabbababbbababaaabaabbbabaaaabaabbbbbbbabbbbaababbbbbabbbaabaa
+ababaabaaabababaaaaabbaaaabaabbaaabaabbbaababaa
+abaaaaaabbaabbbbbbaaaaababbabb
+ababbabbabbbbbaaabaababbaabbaaabaaabbaabababbaaaaaababbaaabbbbabbbbababbab
+bbbabbbbbabbabaab
+bbbababbbbbaaababbaaabbabbbbaaaaabbbbbbbbabbaabaaabbbbabaababbbababaaabbaaabaaaba
+aabaaaaaababababbabababbbbbbabbbbaaaabbbbbbaaaababaabbbabaabababaabbbaabbb
+baabbaaaaaab
+ababbabaabaabaaaabbaabbbbabababbaabbaaaabbbabaabbabbabbaaabbabaaaababbaabababbbbaaabbaaabaabbabbaab
+aabbbbaaabbabbaaaaaabaaaabbaabbbaaaabababababbbbaabbbaabaabbabbbaba
+aaaabbbbabababaaaabaabbbba
+ababaaabaabbabbbaaaabaaabaabaaaabababababbbbaabbbaaaabababbbbbabbaaabaababbaaaababbbb
+bbbbbbabababababbababbaaabababbabaabaababbaababaaaabaabbaaaaabaaaabbbbbbbabbbaabaab
+abbbbbbabbabbabbbabbaabbabababbbbbbbaaabbaaaaaaabbababbbaabbabbaab
+abaabaabbaaabbaabbbbbababaaaababbbabbbabbabbbababbabbbaaabaaaabbbbbababbbbba
+bbbabbbbbbbbababbbbbabaaabaab
+bbbabaabaaaabbbbbabaaabbaabaababbbbabbbaababbaabababaababaababbbabaabaabbbabbaaabbaaababbabbbbaababa
+abaaababbaaabbbbaaaaaabbbaabbbabbabbba
+bbbbbaabbabababbaaaaaabbabb
+baabbabaabbaaababbbaaaabbbaabbbbaaaabbabbaabaabbbaaaab
+abbbabbababaababa
+aababaabbababaaabbaabbaabbaaabbaaaaabaaaaabaaaabbbbbbababbaaaabbaaaaaaabbababbbbbaababaa
+ababbbabaabaababbaabbbaaaaaabbaabbbbbbaaabaaabbaaaaabbbaaababaabbbbbaaaababaabababbaabbabaabbaababbba
+aaababbaaabaaaabbabbaaababababaaabbbabbabbbabbbbabbabbbbababaabbabaabbaaabab
+abbaabbabbbbaabbabbaab
+bbbabbaabababbabbbbbababaabbbbaabbbbbbbabbaba
+baaaabbbaabbbbbababbabbbbbaaabbbabbabbaabaabbbbaaabaabababbababbbbbabaabbaaaabbbabaaaaabaabbbbabbbababbba
+abbaaabbbbbaabababababaaabaaaabbbbabaaaabaaaabbababbabaabbbbbaabaaaaabaabbabbbbbaabbbaabbbaaab
+aaababbbbbabbabbbabbaaaabababbaabbbabbbabbb
+abaabbbabbbaaaabaaabaaababbbababababbaaaa
+aababbbbbabaaabbabbaabaabbabbbabaabbabababbabbaabaababbbbbabbbabbbbaabbbabbbabaa
+aaaabbaaaaaabababbbbaabaabaaaaabbaaabb
+bbaaabaabababaabbaababbbababaabbbbaabbbaabababaaaaababaa
+abaabbabbaaababbaaaababbababaaaaababaabaabaaaabbaabaabbbabbabbaaaaaaaabbbaaaabbba
+babbaabbaabbababaab
+aabaababbaaababbabbbaaabababbbababbaabbbbaaaaabbba
+babbabbbaaaaaabababbabbbaaaabbabbaaabbbaabbabbabababbbaaabbbaabaababaabaaabbabbbbbaabbababbbbbaaabba
+babbbaababbbabbabaaabbbabbaabbabbbbbbabaaaabbbbaab
+abbbaaabaaaabbaaba
+bbbabbaaaabbabaaabbbaaabbbbbaabbbbaabbaababbbbbbababaaaaaaaa
+abbaaabbaaababbabbaabbaaababababaaababbbabababa
+bbaabaaababaaaababababbbbbaaabbbbabbbaabbbbbbaababa
+bbabbaaabaabbaabbaaaaababbaaabbb
+babaaabaabbbaabbbaaab
+abbbbaaaabaaabaaaabaabbbbbabaabaabaaaabaabbaabaabaabbaaaaaabbaba
+baaaabababbbbbbaabaabbabbbaaaaaabaaabbabbabbabbbbbaaabababaa
+aabababbabbaaaababbbabbabababaababaabbabbabababbbaaabbbabaabbbabaaabbabababbaabbaabaaabbbbabbbabababbbb
+bbbabaabbaaabaaababaabaaaabaaaabababbbabbbbaabaababaabbb
+abbabbaaaabaabbbbabbbbababaabbbabaabbaababaaaababaaaaaabba
+aababababaabbbabaabaaabaabbbbb
+abbaaabaababbbbbaabbbbaaabbbbbaaabaaabaaaaaabbbbbbbbababaaabbabbaababaaaaaaababbbbaaaaaabbababbbbba
+bbbbaabbbaaabaaaaaaaaaabaababaabbbbabbaaaaabbabbbbabaaabbbababbbaabb
+babbbaabaabbaaaabaaaabbaabaabbbababbbbbabaabababbbbaaababbab
+abbaabbbbabbaabbaabbbbabbbbbabbaabbbabbbababbbbbbaaababbababbbaaaa
+bbabbabbbabbaabbbababaabbabbabababbbaabaabaaaaabbbbaaaabbbaabaababbbbbbbbbaaaabbbbbaaaaabaaaababbbababbba
+abaabbbaabbaababaababbabbababbbbabbbaaaababaaabbaabbabbbbabbaaababa
+abaabbabbbaabaababaabaaaaabbaaababbbaaabbbbabab
+aabaaabbaaababababbbbaababaababbbaabbaaaabbaabbbaaabababaabbbaabababaabbababbaabbb
+bbaaaaabaabbbaababbaabaababaabb
+baaabbabbbbababaaabbbbaaababaaabaaaaababaaaaaabababbabbbababbab
+baabaabaaabbaaaaabbbaabababbbbbbbaabbaabbababbbabababbabbbbbabbbbbbbabababbaaabaaababbba
+babbbaabaaabbbaabaaaababbbabbaaaabababbbbabb
+aaabbaabaaa
+abbbaaababbbbaabaabbabbbaabaaaaababbababbbbbabaabb
+aabbaabbbbaabbaaabba
+bbaaaaaaabbaabababababbbbaaaabbbbaaaaabbabbbbbabbbbababaabababbabbaba
+286 181
+bcbcababaabbbaccabaacaacabaccaaacccabccbccbcbababccaaabaabacaabbaabcbb
+cbcbbaabaabbabaabbbabaccbbcccbbabaaabaabaaabbccccaacacacccacbcbbaaacacbabacbc
+abcbaacbabaacbaabbabcaaacacbcbcbaabbcbbcbbaaacbcbbbaccabacabacbccacaca
+cccccccabaccbcbabbabcaacbbbbacacabbbabcaaabacaabbabbccccbcabbcccbacbaaaabaabcacbaaabaaacc
+cacaacbaaabaacbaaabaabccbaabaacbbaabbbbbaacbacbccababbcbcabaaaaaacabbbccbabacbbbcaaa
+aabccbcaabbbabccbcbacaabacbcbbbbbcaacbccaabcaaabccaccccacbcacacbcbccccacbcaacbbbccabcccbaaacacaccaabccaaaccb
+cbcbabbcbacaaccbbccaaacacaabcbcbcaccbccabccacabccbbcbbababbbbbcccbbcbcccacccacbacba
+bcbaaacacabccccbcaaaabccbcc
+abaaccaacbcbaabbabacacccbacaacaaccabcaaabcbcabaabcabc
+cbbcbbacccbbbcaacaacabcabcbcbcbcbcbcccabaaaccbabaccbbaccaabcaccabaacacbbbaacbcbacbccbabcabaacabacb
+bbbacabbbbccaaccbbacaacaaaacacbbcbbaaacabccbbcbacacacbacccbbcacbbcbbabbcabcacbccbac
+abbccccbbc
+bccbcaacbbcccccacb
+cabbcccbcaabcaaaaacbabacabbbaabcbccbbbabaaaaccbbabcbbacca
+abacabbccabbaabbaaacccbcacacbababbcaabccccacbacbabcabaccbaacacbcaaacbcbacacbbbcbbaccbcbbabcbcabacccabbb
+ccacacbabbabaccbcaaccaccbacaabac
+bbbaacbccaccbbbccbacabac
+cabbcbaacabaaccbbacabccaababccbaacabcaaabbcaaabaabcccbbabcccbaacabcbcbcabccacbbbcc
+aacaacccbbacccccacacccbbabcaaaabbaabccbba
+acccbbaaababacacbbbabacccabcabbbcabbccaaabcccbcbbcbbccccccbbbbcccaccabcaaccabababbacccbbabbcbbcbbcbab
+abcccbbcaaaabbaacaacccccabccccbacccacaccaabcbbcccacaababaccbbcacbbabcbcbcabb
+acbbbcaccbcacaababbbccabcacbbbbacababaaaccaacbbaaabbccbbbacabbbccccbaabaacacabacab
+ababbbabaccaacaccbcaacbbacbabaabcbcbbcbbcbcaaabacbaacabaaaacbcbacacabcbcbccacbacbbccbbbcaacccaabccbbb
+abbbcaabbacccbaacabbbabccbcaccabacbbcbbcb
+ccaacabcbbcababcbbabbacbccbcccacccaabcabcbaacbcbbbccbccbbcacbbbabcaacccabacc
+aabbabbbabaaaaccbbbcbcbaccacbcbacbacacabcbbacacabbcbbbcaccbcbaacbacabcbbcbbabbcaabccbaaccbbcabbcbccba
+acbabcccbacccaabbcbbcbbcbcbaabbccaacbbbbacbbaccaaacccbabaaaabcaacccbcccc
+bbbcbcbabbbabbcbccabcabcaccacccbacbbbbbaacccccbaabcacbbccccaaac
+baccbabccccbcabbbabaccbcbbbbabacaab
+bacacbbbcabcabaccccbcbaccbaacccbcbbacbcabcabbabbbcbbaabcacc
+baaaacabcabbcccaccabccbc
+cbacccbabbabccbcbcbaabbcacbabaabaaccaaaaaa
+acbcaccbbcbcbbbcaacbbcabcbabacabaacccccbbaababaaaacacaaacacbaccacaccaacbcbabbaabcbbbccabaabccaabcbbaba
+cccbaaabbacabaabccbaababacccbbbccacbbaabbabbaacbbbcbabbcccaccaacacabcbaabbcbbabacacccccaacbccba
+bcbacaaacbbcaaaababacaccabcbacbbbcabcbcbabbacbcacaacabbbbbabaacbcccbacbcacbabccbcbcaaacaaacccabcbbba
+bcaaabbcacaccbacac
+caaaacbccccbcaabaacccbabcccccbbbbacbccbbcbacb
+bcbbbabaccaabbcbcaccaabbbbaabcbbcabacaaaabaccababbababcbccbacabbaabaabbacbabca
+bbabbbaababbcccaccaacbababbccabcaaacbaccbcabcaaacaca
+bccccccabccbccbcbbabaaacbbaacacabacbcbabcacaabaabaabcbcbaaababaacaaaabcaacbbaaacabbbc
+abcbaabcabcbacccababaababcacbbabbbaaaaacacbcabbccaaaacabaabbbaaaabb
+aacaaacbccaccabacbcbaabaabcbacbbaabcbcaaccaacabcaabcbbbaaacccacaaaabcbcbabaaaaaccbbbaa
+aabcbcaabbbcbbbcbaabccacccaccbccbbabcacbaaabcccacbacccbcccbaccbcaabbabbcbaaacbabcbcacaaabcbbaabbcaccccaaacac
+bbbcbacbbbbccbbabbaccbbaccbcbcaaabb
+aacabbaaabbaacacccccaccbabacbabcbacacacabaacbbacaacacbaabaaccbcaaabcbcacbacacccacbacbabcacabbcaa
+cbccabaccabaacacbcabccbababbbacabcabaccbcbbbbabcaacccaccabccbbbbbbbccbabbcbbabcbbcb
+bcbbacbbbbcababbababbbabbabaaababbccccabcbacbaacabbabccbbcbbcaccbabbababcabccaacbcb
+caaaaccaacaaacaaaaaaabbacabaaacbccbbaabcbcbaaabcacbbcaaacacabbbbbbaabcacabbaaab
+baaccacabccbbaacacccbbaabaabababcabbacbcbabbbacccbaaccc
+baabcababaaaabccba
+cccbabbabbcbcbccbbaaccbcbcbaacccbccabbcabba
+aaaaaaaaaaacbababbcaccbaccaabbabaabb
+acaccccbcacbbabacabcacbbccaccbbcccaacbacbbabcabbcabcbaccbcabccaaacbabb
+aabcabcabcbccbcb
+bbbbbbbaccbb
+bccbaacbcbacaabbcbbbcaabaccbcaacccbacbacabbccabaacbacbacccabcaaabbabcccbcccaa
+acbacabcaccbbcaacbcaaacaaabacccacccccacacbcccabbaacbaabbaabbabacaccbaaacaacaaaaacbbbcacbaa
+bbababcccacbcaacbbaccbaaccbbacaaabbabbbcabacccaacabbbbbccaabbababcbbcacaba
+cbbccaaababcbccbabccaacbacbbcacbbcbaabcacbabcccacbabbbbccacaaacbcbabbabbac
+abbcbbaacbbbcccbaaaaabbaaacabacbbbaaaaaacacaaab
+aaaccbcabbaccbabcbcbbbcaaaccaaaccacbcaaccabbacaa
+babbccbcccbcabcaacacbaabbcabbbbbccbbbbaabbccbbcabccacccaacabcabcaaaacaacbaccaccbbbcccaaccaacabbacb
+bcabbbbcbba
+bbaaaabbbccbbaaaaaaabbcaccacbbbbbaaacccccccabccabccbaaccbbcbcaabbbaabbcacacbbabaacaccbcaabcbababb
+accabccababbbcccbababaacacbaaccbbacaacbabcbbaaabacba
+bcbaaacabaabbbccbacba
+cbcbbbbacaccaabccbabbaabbaccaabbabaabcaabbcaaaacbacaacbabcbcbbbcba
+bccacacbccccababbaacbaaccbccbcaccbcacaccbbbabccacababbabbc
+bcbccaabbbbacccacaaabcbbbccbcaacabacbccbacbbcc
+bcbbcacccacccabbcbcbbaabbacbbabacaabbabbccabacbabbaaaccccabccbaccaaaacababbbabacb
+bcbbabbcccbacaabaaaccaacccbcacbacacaacccaababcacabaaccaacacaabcacccbbabbbcbacac
+bbabcaaabbacaa
+bbaabaaaacbccaabababccbcbbcbbbbcbccacbcacacbbcaaccbaababcbcccbcbccacacbbabcaabbcbcbbcbcbccbbbabbbbbaccacaaa
+cbbbccaccccabbbbbabbbbbcbabbbbcababccccaabcbcbacbbbabacccabbaab
+abbcbabcbabbabaa
+bcbbcbacabcccbbbbbacccbabaccbabaaccbbaacbcaacbacbaabbbaabacccccbaacbcccbabbccbaab
+bbbbabcccacabbbcacabbaacaaabcbcacacaabbbbbabccbacbaaccaaaabacabcabcccababcbcbcbabbbacbcabcbcbcbaacbccb
+bcccabbbabbcbbbcbcaacbabcccccbcabbaaacbcacaacbabaacbccabaccbacbaccabbabcbbbaabbcabbacaaacbbbaacbaaaaaabbcbc
+ccacccacacbcbaccbacaacccbbcbbcbbbacbbccabacaa
+bccaabaacaaaaacacbbbba
+cbcacbbcccacaaaaacccacbaccbcb
+cabbacaccbcabcbaabcbbacaaaccacabbcaaacbcabaabbaaaaababbaaabbbbabbcbccbbbbabbaccccbacbaccbcbc
+baccaaaaabcbcbbaabcacccabacccbbbabcbcbabbcbcbaababacbacccbbacbacbccabcaaabacabbcccacabbbcbbabbbbacbbbb
+abcbaaacacbaabcccababbabbabcccaaacabbcababababcacababbcabbcbbcabbcaacbcacccaabcacbbcaacbcabcabbcccbcbbcabb
+bccacbbababbaabbcbcbbbacaccbcbbcccbccabababaacbbbcab
+aacbacaacbcbcaababccbbccaacaaccaaacababaaaabbbabcbbcbcbbbbbababbbca
+caacbacabaacb
+cbccbcacbcbacbbcabbaccccaacabcabcbbababbbbca
+bccbaaabaabcaacbaacacbbbbccbcbbbcacacacbbbbacababbaabcaabbbb
+bacabbcbbaaaaccacababccbbabcacbcabbbbaababaac
+babbacbaccbccaacacaabbccabcababaabbabbabcba
+caabbcccacbaccbaaccabaaacabbbccccaaacbcaaccbaac
+ababacbccbaaabbabccbccacccbbcacbbabbcccccabacaacacbabc
+acababaaccccccacccabbccaabbabbcccbcbbbabcacbcbcbabbb
+acbbcbccacababaabcabcbaccbbcccbacabbbcccaccccaabb
+abbcbabbbcacbccbcacabacbccacbabaaaaabcabbabcbacbaccabbbbccaabaccabccabbcaabaccbabcaaa
+aacbcbccbcbaaaccacabacbbcbbacbaccaaccbccbccaaacbcbacaaaacababbcbacbbcaccacaabcbababacbabc
+cccbacbaaaaccbccaacacccabcccabbcabcaabaabaaaabaabaaaabb
+bbbcbacaac
+bcbbcabaac
+acaccbbbbcabaabc
+abbcbbbaaccbbbccacbcaacaacbaacbbb
+abcbccbcbccaabccabbabbbbbababbbcbcacabaccababcbb
+bcbbbbcaaabcbccbabbbaccccabbbcbbbabbcccbbbbbaccaabbcabbcaccbbacbacacccacbccabaccacaaccbacca
+acbccbaacbbbcab
+bbacacbabccbaccbcbaacbaaccaaaababbcbcabbabccababbbaabcccc
+acbaaabcaabaaaaabcc
+ccacacababacaaaacaaabacabaacbccbbbabbaccbcbcbcaa
+cabaabcccbbbcababaccaaabaabbbaaaaabbcaccccccacbccaacacbbabbacabababbacaaabccbcbabcac
+bbaccccbabbabaabcccccabcaacbbcaacacccacbaabbcaacaaacabbbcbcabaccabaaacabacabaaabcabc
+bccbcccbbcbcbcaabbcbacbcbaca
+bccbacbcbbbacabbaaaccccbbbaccabbbabcbcaabbaabcaacabbccaacccbcabccaccbcbaaaababccccbbbbbbcbbabacbaabc
+aabaaaaacabbbabaaaabbcaacababbb
+cbbcaacbcaaabcbbaccaaccccbbccbaaabcacbabaaabbacbabacbcabbbabaaabbbcaaaabcbccaccbcabccaacbbbbcbcacaccbaacb
+aababcbcabba
+bbccbacbaccccacabbaaaaabacccbacbcaaccbabbbccb
+abccacabccabaccababcbbacbaaacccbbbccbcbabcccaaabcccbabcbcaabbbcabacacb
+bbcabaaaccacbbcacbaabaacbabccbcccaabbacabaabbbcaccbacacbabbaccbbababccababaaabaccca
+bcaabacaccbabcbacacccccab
+bbcbcaaccbbbccaaaaaacbbbbccbcaabacaacabbabbccbabacabbbabcaabbccbcbaabcbacbccaccaabcbcacbcaacbcbcc
+ccaababcbbcbacaaababbaabcabcacaacacccaccbcbcbbbccacabbabbacaaccbac
+aaaabaabbbccaaccccbcaccaccbccbcbaaba
+bcaaccaaccbaacabaccbaaccbbbaabaabcaaacaaabbbcaaccbbabbcaacacbbcbacacbbccbccaccacabbaabbaaccbbbba
+aabbaaaccbccbabccbbbaaabaaaccbcbcabacb
+abcaabaccabbbbcacccccaabababbaccaacbcbcbacbbcacbabb
+baacbbcacbbabbccabacbcbbaca
+acbcbaaacabbcbcacaaccabaababbcabaabbaabcccb
+abcbacabcbacbcbcabbaacaccbbbcbbcccbbbcabababacbbbcccbbcabacacbaabcaabcbbaa
+cacbbbabbbbbcbabcbcabbccacbccbaaabcaaccbcacccbaccaaaaacaaabcaaccabacabbbaaacbcbccacccccbabbccbcbacccaba
+abcbacaabbcbccbbaaaccacbcaccabcccbaccabcbbccbacbbcabbba
+cbabccaaacbcaccaccabcbacb
+bcbabcaaacbacccaabbacccccbccabbaabcababbbccabbacabbbcbbabccacaccabcabacacacccacccbbbaaccbcbaaccaba
+bacbccaabcbbaaacbacaaabcbcaabaacacaabaaabaabccccabccbbccbabcacbbccaacaaabbbacccccccaaacbcbaacabcccacaaba
+cbaccccbccacabacbcccccabbbaababccabaacbacaaacaaaacaaaa
+abbabbabbccbcacaacccaabbccababccaacaccccbbcbbaaccaaaabcccbbabbabcacabcbb
+cbbccabcaacbbbbbabbbcbbcacacccbcaa
+caacbcaaacccba
+acacbccbacbacabaabbbccbcbccbcabacacbbacaabccabacccaacccccbbabcbbccacabcbbaacbbabbcbbcccabcaaaaac
+ccbcbbcbbacaaaccaacbcbbaccaaaaccaab
+bcabccaacacbaaaabbb
+bcacbaccacccbacacacacacaccabbbbbacbaacbcbbccbbcccbbbbabbaaccacaabaacbccbbbacaacaacbccabbbaabbbca
+caaacbbaabbccabaccabcacbaabcbbacacaab
+bcbbcbaccaaaacabc
+cbcccaaccbbccbcccacbcbacabcbcbbbacbaaccaaaaccabaccc
+bbaabbcacbaabcabbbaaaccbcbaccacbcbaacbbbcbaccaacbcbbaabcbbcbacabcbacbcbbabbabababbcacccbaaaba
+acbbaacbbccaaabbba
+abcaabacbaabbaaab
+bbabcbcacbabcacbabcbaccabbbcaabbaaa
+cabbbcbabcaabbbbacaaccbcbacbcccaabcbabacabacaacbaacabbbacbccabaccbabcacaaaccacbbccaaccbabccaaacabbaacacbbbc
+abcbbacbcbabccbabccbcaacbabaaabbacabbccccbccbbcaacccbaabbacacaacabccacbbbbabccaabccacbccbbabbabbc
+abbacccaccacaaabaacacbbaaabbcbbccaccaaabaabcaabbbbbcbaaccbccccbabbcbabccaabcaccaaaacaaccbcba
+caabbccbaccbbcccbccacccbcbcbcaabcbabbbacbccaaaabcabbccbbcbaccccbbacbba
+ccbcbacacccabcbaccbccbbcbbcabcbccaabcaabcaabcbbabbcaaabbaacbcaababbaccbbcccbc
+abbbaacaaabbbbabacccbaaacbccccbbacbbbcbababacacbccbccabcacbcabac
+bbaaccabacabbcbccbabccbbcbbcabbab
+ababbcabccacaaccaacbcaccbbbb
+bbaabccaabaabaacbbbbbabbbbbaaaacccbcbbcaaaacccccbbbcccacabcbcaaabaabacaabbcbabaaba
+abbbacaabccbccaaacccbbaaaaacabbabbaaaccbabaa
+bcbccbcbcabbcccaababcbcabcccbbabbaccbbbcbccaccacccacccaccccbbbbbaccbcbccaccaaaababcccabccbabbcacbabccccbb
+abcabcbcaaabaacaabcaaacababbbcaacccaabbcabcbaccacbaa
+baacccacccacabbabcbbcaaacabbcaabbcbababcabbacbcbc
+acbbabbbcbabacbbcbacbacbbccabaabacbcbbacacbcacccbcccaccbaccbbacbbcacbaccbcccccacbccbbbc
+bbcaaaacaabbacbbcaacbccabbbacababcabbacaabacbccaabacaacbbbcabccbbcaababcbaccbacabcbaa
+bababcabcbbbbbcabcbbccbacccccbccacaacbaabc
+abaccaacccbaccbccabacaabb
+ccccaabccababcaccbbacacaaaaabbababcabcaaaccbaaacaabbaababbccacaccbbccb
+cbcbabcbbabcbcbbbcabbbbcacabbbaccca
+aaccbccbccabbbabcabaacbbabcccbbccbbaaaaacbbbbaabcbaaccabcbaaabbcccbcbbcaaacabcaabbbababbbaacccbaacba
+cbcccacabcabcabaabbaccccaabbcbccbabcccabacbcbcbacabcbacbababaabccbcaacabbcccabbccbcabcbbcabcbbbaab
+cbcabbababccbcacccccbcbbbbaaaabcacaabbabccabbacaccbcbccaaaacbcabccbabbbcbccacacacacacbcaabbabaaaccac
+cbbbaccabcccaabcbcacaaccacccababbabccacbcabbcbbcacccbccaacacacaabaaaacacabaccbccbbaabaabaccaa
+aacabbcaabcbcbabbbccacbcbacacbaaaaccccccbcbacbbbbbbabcabbabcbcccaaaaccbbbbbbcbacccbbcb
+bbaabaaaacc
+cabaacacaabbcacbaaacacbacabaccbbcbacbbaaccbbbbaabcacabbbaccabc
+baccabaacbbcacccaabaacbcbbbbabbcabaabcbabaaaaaabcbaabcccccaca
+abcbabacaccbbabbaccaabcabccaacbaccccacbcaaaacbbbbcabbcaccccaabc
+caccbabbcaccaacbabbbcbcbbabaabbabbcbbcccccbabcaabbbaacccacbaaaababbabcccbb
+cbaabcabbacacacbbaacccbacbcbababacbaabcccabababaabbaabbcaacaabba
+bbcbcababcbbbbaaabbcbbcbcbaaaaaaacccbcbbccaacbabbcaabcbbaacbabccacaacabbcabaacccbabbaaabaaabbcaccabaab
+bbacacbbcbccccbabcabcbbbbabcbacaaacbc
+acbabbacbaaaabaccbccaaabcbcabaabcabacaabaacabcaaabaacbbabcaabcbbacabcbcbaacbbcacbacaabbbabcbcbbbcc
+cacbccaaaacaccbbcbbababbaaaababbbcccbbcaabbcaabbbccbcacaccabaabaaabbaccbbabbccbbccabcaccbccbabc
+aacacaabacbcaaabcaaccccbbaacbccbcc
+baccbaaacbbcbcacbacbacaababcbcbaaabcbabbb
+cbbcaacbcababacccbccccccbbacacabcbcababa
+abccbbcacbcbacbcbbbacaaaabcbcbacaaabcaccbaaacbcbbaccbcbbcccbbbacbccccbbbabbbacaacababaacabbcbcaababac
+baabbcccbcbcaabbaabababaaa
+bcababccca
+bacacaacbacbcabcccabcababbcaabbacacbcccaabcaccbbbaaabbbacbbacabbaababcbcaccaaaacabcabbabccacccbbccabcaccbc
+abbbabacbbabbcbcbcbbbbcbcacbccabcbcbcaaacacacbacccbcccccbcbbcacbaa
+bbbcabccbcacaabaabbcbbbacbcbbbcacccaaacbbcabbcbaacccabaabcabcaaabbcaaaacccacbcacabaaccbbabbcbcacbcbaacbab
+bcabaabaaabbaaabcbbbcaaacbaaccaccaacaabcbcbbccac
+abccaaccbabcbbabbaaccabcababbacaaaabacccaccacbabbaacabbbccacbbaacaabababcbbbacbcacbaacabbbbbcaccb
+acabcaacabaccbcccacc
+baaacabacacccbaababbacaaaacabaabacbbacccabccacbbbaacbacbaccabbacbcaba
+bbcbaaaaacaacbcbbcccccabcacbcbbcaaacaacbcabaccccbaaa
+baaccbbaacccabbbbbcabacbaaa
+abcaabacabaaacbccabacbabcbacbccbaccacaaaaaabbaacaaaabbbcbbcbccccabababbccccccabccacbabbccca
+cacabcccababccbbabbaaacb
+ccccaaaccccbabacbcccbcaaaccaabacccbcbccaaacbabcbbabaabbcbababbcaaaaccababcb
+acbaacbbababbcaccabbcabaacbaacaabacbbabacaabccacbaa
+abbccbccbcbaaacbccbbcaaaaaaccbbaccbccbcaabaccababbbbbbaa
+bcbccaaacacabbaacccbbacaabccccbbbababaaccbbcacccaacbbbabbbcaacbcabcacbbcbccaaacbccbcccacaaa
+bcbacabaacacbabcababbbbcbccaccbbccbaabbccabac
+cbacbbccbbbaabcbbbcbbc
+aaaaccbcccbbbcaaccaabbbbcaabb
+abaabbababbccbaabcbababb
+bbcbbaaabcbbcaacbbacabbbbbcc
+bbbbabbabcbbbabbcacccacacababbcbcaccccabacaaccbbbaaccbabacacabbcabcbabbbcbbaaccbcbbbcccacbac
+aabbbcaacacccccabbbabcbbaaaaaaaacacabbabbcbcaabaccbabbcaaacbbcbcabacbbcbaacbcbcacbcbaa
+accbabaabcbcbcbaccabbcbbabaacacbbaaaabaaccccbbcabbbacccabbaaacabcaaaababca
+baacbabaabacbcacccaaccbaabbbcbcccbbabacabbcaccbccbccbaabcbcbcbaabbaaacbb
+ccbcaaabccccbabcacacbacbbcbabcaaaaccbacccccaacabccaabacabcaabbabccabbbcbbcabccbcbbb
+abbcaaaabcbacbbaabacccbccabbbcbcbccacccbccaacbccbacbbcbbcabacbbaaababcbcbabbccabcabccabbbbbbbbcaa
+baacbcaaacaabcbbcbcbabcaaaacbbbbcacaabbbbcbbaac
+ccbccabcccccbccaabaaacaaaababcaaac
+cacaacaacabcbbacabbbaabaaacccabbbaaaaacacabccbccbabbacbccaacaccaabacabccbacaaaaabcabaccc
+acabbbabaacbacbaccbcbccacbbcbbcbcbcbaacacacabaabbbbccacabcbbcbcaaabcab
+cbcaabcbacccbcbaabbbaacccaaccccbbccbcaccacab
+caaccbcabbcbcacabcacbccbbabbcacca
+caacacbabcccaccaacbbaacabcbccacbbabccaabcbbcaaacba
+acaacbcbccaacaccbccaaccacccacbacbbaaccbbacabbabcbcbbaabbccbbbaabbcccbaabcbaaabbabbcbbcaccac
+cabcbaabbbcacaaabbbabccaccbaaaccccaabbaccbacccaaacacacacbabbcacacacccabbaabccbaabaabbbab
+aabbbaaaacbcaabbbaabcbabbaaaccabbcabacabcabcbbaaabbababbbb
+bbbaccbbabbbabccacbbbccbabbcbaccbcccacccbccaacacb
+caacacabbbacccaacbcacabaaccaabccacbbacaaabbbaabaccbbccac
+cbcbaabcbcbbccabaab
+abcbcbacccacbbbcbacbaacbaccbbcaaababbbcccacccbaacccababccacbc
+abbabbbcacabccabcbacababbbcaccbcccccccabccaaab
+babcabcaccbbaabccbbabbbabaaabccbbababb
+bcacbbcbcccbbbab
+babaaaccabbbccabcbccabaacaacabbabacbacabbcaccbaacacccccbcaabcbcbbaaacbaccbcaababcbacabccbca
+caacabccbabcaaccabaacbbaaabccbcbabacacbccabacbcbcacbbaacaa
+baaaccabbbcabaababcabccacbbccacabbbbacbacbcabcbacbbbbccbbbbcbacabbaccaccacbbaabbcbccbbbbcbbcaacacbbccac
+cccaccabcbccbbabbccacacbcccbbbcabccaacccccaabbcaabbacabcacaaacccccccbb
+aaacabbbacbbacacc
+baabcaaccacbaabacbcbacccccacacbcccbbcaabacaabcbababbabbaaaabbccacababaacaacbabccccbcbccaccccbacabac
+ccaccabaaacbacbbaabacaacaccabbccaaccabacabbaacaaacaacbcbcccbaaabbccabcabcbbbabcaccaa
+bbcababacabcbbcabbacbbcbacbabbcbbaaabbaaabcaaaccbaccbabaaaabcaabaabbbacabbabaacbbaaaaacccacacbacbcca
+abacbaccacabcccbcacccbbcaaaccabcacaabbbbabaccacbbbbcbcccccabbaacababbbcbcbbacbbbabaaabbacaca
+bacbbacbbcacbccccaacbcabbacbbcaccaaccaccaccaaaaabcabbbcabccbacabbacbccabccaaaabcabcbcbbacab
+cccabccabbababbbcbbaccabbbbcbcbccacbacabcbbcacabacabcabcbbacbbcbcababcbcbcccbcacabcbbbbbbbcacbcbbaabcaaacbb
+babacacabacbbbaacccaca
+bcccabaabcacabcbcbcbacbbbcbaabbbbcccbbabbbbbccacacaccbbccaaabccacbaaabaaccccaccbcbc
+caaabbacbabacbcbbcaaacabacacbcbcacccbbcbaca
+aaccababbaccaaaaaccacbaacbbccbbbccbccbcbbbcaccccbbacbaaaccbcbccbbbbcbbaaccccbbacabbaaaacbacacaaacababc
+acccbabbacbbcacbbabcbcbbbcaaccbcacaabcaccbacababccbbbbcbcbacbaabcbbbcabaccaabaccabaaabccbacacbaba
+babcaabaabbbaaabaacbaabaacacacababcbcbaaaaccacbbaabbababcaccbabcbaabbcbabb
+ababcbcababbbaabbaacacccbbbcacccbbbcbabaccccbcccbccbcaaabccbccbc
+bacbaabbaabaabcaaccaccbbaabc
+abaacbbccacbaaba
+cbaaabcaaccaacaaaabbacccbacccacbcbcaabbccacbbacbbccccaa
+cbacccabacaaabaabbcbabbabbbcbbacccccbccbbbccabcccabaccbababcaacaabbbababcbabccacbcbbbbaababbabcabc
+bcccbbccbbccccaabbbaccccabcbbbbacbabbbcbbbcccccbbcbbbaaaa
+bbbcaccacababcabaccacacbcbbccccccaaccbcbcaccbccabbcccbabbabacaaaacb
+bbcacbcbbcaacccbcccabacacbccaabaabb
+bcaacbbccbcbcccbccb
+babaabbcaccaccbbaaaacacaabbbabacbacabbacccacbacaabaabccaaaccbca
+bbcbcabcaabacbcbaacccacabaaccbacaabacbccbabcaabbbaac
+bbccabcababbcabaababbbbbcbaacacaabacbbacbbbaba
+aaabbbaaaabacacc
+bbbaaacbccabbaaacabb
+bbccbababaabbbbcbbcaccacbbcaacabaaacacbccbaacccacbabbbaaccabcccbbbcaaacaccbbbbcbbbbbbaacbbabaaabaabcbcccbbaca
+abcccbbcbcbcccabcaccaaacabbcacbbcacabaa
+cccabaaccbbbbcccccbaaaabacbcabbacbbababacbaabaccbcaabcbcbbcacacaaa
+bbcabcacbbabbcabbbbbcababbababbcaaccaabbbbbaccca
+bccbbbccaabbcccbacac
+bbbbcbaaaacbbcabbaaccaacbaccababbabbcbaaaaccacbaacbcbc
+cbbbcbcaccbababbaaacbcabaabbacbbbcccbbbbbbcaacabcccaacbbbcacba
+aabacbbbbbabbbbbbcbcacabbbabbcbcacabaabbbcabbabaaaabbaaaccbccbcaccbabbccaabaccaacacaaaaaaabccaabbabcaabb
+babbbbacabcbbacccbbccaabbbbcabcbbaacaabccaacaaaacaccbbabbcbcacaabcaccbbabcbabaccabccbbcabcacbcccaaaacbc
+cbccbcbcbbbcabaaab
+cbcbabacccccccabacccbcbcabbaabbbcabbbbbbccabbbacacbbbcba
+acbccacaaacb
+cabcaaaacbbcaccaabcaacbaaaacacbccacaabcbcbccaabbbbccbabbaaabcaabababcababb
+acbcaccaaaacabbbbacccbbcbcaacbcabbcabaacbbbacaabcaccbabbbbacbccaaab
+cccaccbbcacc
+bacaacbababccacaccabcccbbbccbbbabcabb
+caaaacbcbaccccbacbabcacbbccbabbabbacccaacbbacacabcabbcbbccaababcbb
+bcacacbaabcc
+aaabbbabbbbbacacbbccabbbcbbcacbbbaaabaacbbcacabaaabbbcbaaccabbcaacbaabbbbcabcbccccbacabcbaacbbbcbcbbbbccb
+acababaacabaccaaacabaaababbbccccacbabaacacaacabcabbbcabacaccacbcbacaaacbaabcaccabbccbcaabbbbbb
+bababcbcbbabbacababccbbaacbccbabcbccabcaaabbbcbbacacaabcccababbbaccaaaabcabbabacaabbbbbbaabba
+accccbbcbbccbccbccccaaaccaacaaaabaabbbabcccacaaaabaabcabbbabbccacabaccaacccbbabcbacaccbacaaababaccbccbcbc
+caaaacaaacbbcccccabcaaabcaaccaaabbaacabaccaacbcbbbcbbaccbbaac
+cccacbcacaacbbacacbbaccbabbcabbacabacccbbbbbcbbbcbcccacabcaccaababb
+24 13
+aabdbdccdddbdabddaddadccabadbcaaaccdbbcbaabbcddadccddddccadadaddccaacdaaabcaadcaaaacbdcdacddabcccabb
+aabaacacbabaaadcacccddcccbdcdaddcacaccbbbacdcdddbdcabdabbbdacabdabbdacbbdbbbcdacabddadddbbacaaddbacdcadaabc
+bcbadcaadcacddbddbdcddaabbbcddbdcaacbadabcaaddbabaaadccccddadbbadddbaadcdbddb
+aababbcbcadaacacbaccbadcbcddbcadacaaadaaa
+aacacccabbabbcadabbbbaabccccbbcaddbbbbccdbadbcbbabcbccbdccdbbcdcdbcdbbacdcaaddddbdbacabddab
+bcbccddbbbcbdccaabbaaaccccbdbdaabccccbcd
+bcdbcabaaabcadbaddbbcbdcbabcabd
+bbcdaacbbccaacdbaacbbbadccbabccdcabababbacdbbbcdbcadcbadabcdcbcbcabbbdcbbbddbacdccdddadadcccaabddad
+bdcbadbadbddddaadaddcdccacbdaccdbbbcacbbccadddacccaaddabcbabccdacbdd
+dcaabbcdcccbbaacdbcbdcbbcbbbdbdaaaabbaccccaaddbdacbcaccadddaccd
+dbdabdbdabcbda
+abccccdbbcbcdadddcbacccbddcdadddbbbdbdbdbaccadcadbbdbbcdccdcaababdbdcbbabdcbddaabbcdcdadcdbdaaadbbaaacab
+ddbdbbccdbaaabddddcdbaaddabddadaaddcaccbbaddbccaddaadaaaccdcddadabccbbbdabcdbbdbcdabcdaadbcaa
+abdddccddadacdddccd
+bcaaddadbddcdadaadbdddadbdddddacbdbbbaccabcabddcdaaabccbbabdcadcabcdbddbdbbccdbdcddddba
+baaaaabadbbdacccddadabdcbcbabdcabcbabaabccbacbbddaaacacbbbbdd
+adbccdbccdccdcbcabcacdbdcabbbaadbcdccabcdcdbcabdcddcbadadadaaadabaadacbbbdccacdbaaadadabcbb
+cdcacdabcbbc
+dbcbaadbcbddad
+ddaabcdbcbdbadabdddbcabbcaaababacdbddbbbcdcababbcadcdbcabdaadbdacada
+daccacaaabacbdbcaabadbbbdcccdbcbdbbacbaaabcabcadbbccddcaddbccdccdab
+bbacaadcdaabbbbbbcdaabdcadcbadabcbaaabdcadbadad
+dcabdadaaabbcdadacbcbbbbdaaadacbdd
+daccbdcdbabbacbcddaddddddaaccbcbdbcccbcdabaccdbaabacbaadddbdcbabaaaaddbcccaaadb
+292 257
+bccbbcacccacccaccaaabcaaabbbcbbcabcbbccbccccbaaaabccbabbbbbab
+ccbbbbaccbbbbbaabcababcabaaacabbacbbcb
+bbabbaccaaabccccacbcaaccccaacbbacababaabaaaba
+ababbccbcbaacbbbcbaacacabbcbabacbaabcabaaccaababbcccacbaaabbcabacbbbaacb
+bcaacbbccbbbbaccaacaccaabacabbcbbababbaabcccccabaabaaabccbb
+abbbccacbbaacbacabcaccaacaacbcbbaab
+ccccacbbccbbbccbbbcbcbaaccaacabbcbbabacbababccccaaaccccbacbbcacb
+caababbccbcacbcbbcccbbca
+acbbbaabacbbacccbcbbac
+bcaccbaaaaccaacbbacaccacacaccbcbacbacbbbabacacaabcabbbbcabaaabbaaabcccbcbbabaaaacca
+acabaacbccccbcccacbcbababbabcccbbacab
+ccbbabbbcabcacbcbcbcccacacabcaccbccbbaacbbccacbcbbcaabbabccbacabbabaabbccaaacccbbabbcbccabbcbbabcabbbccc
+bbbbbabaccbbccbbcbbbbabacbbacbcacaacbcbcbbcacab
+cacaababacbbaaaaabcabbaccccacaaaccbcabcbccbbcaaaaaababacabcbaaabccbbbbcabbc
+acbababcbcbcabbcabcabcbcbab
+ccaccaaabcbaacbcbcacaabbbbccacbbbaaaccbbccacababcacaaccbbabcbababc
+cbaacccbbcacbbbacbbacabcccaccbccaccbcaccccabaaccbccccbccbaacabacbcaacbbcacbbbaaaababaabac
+bcbaccccacccbacbcbaaaacaaabcaabcaccbabaaccaabbcbbb
+caaabacabcbbbbbacbaabcbccccbbbbabcabcccaaaccbacbbbacabcabacbabacbabbabacabcaaaaaaccabcacc
+bbcabababbacbabacccabccbacbccaacaaaa
+bcaacbacaaacabbcabccabacaaacabbbabbcbbaacbbbacaacbcccbaaaaacacaacccbcbbcccccc
+aabababaacbcccaccbbaabbbcacaaaaaacacacbccabbabccacbacacabaccaaacbcccbababcbbcccacaacbbbcabab
+aabbbacaaabacbbbabbcc
+bccccaabaabcbaaccaacbabbabcccbbcab
+ccacaccacc
+acbabbaaccbbbbabbcabcaacacbacbb
+bababcbcbaccccccaaccacbacccbaabbbaabbbacabbcbaccaabbbbacacabacbccbabbbba
+cabaabcbcccccaaaaabbccabbaacaaccbbcaaaabaabccbabcccacba
+bccbabcacaaaccbcbccacaccbabbca
+cbcbccbaabcaacaabaabbc
+abbaaacccccbbabcaabbcaaabbcbaaccabaacbccabcccbcaacbaaaacccaacbacabbacacb
+abbaacaabbbcaabccaaacacaacbcbacbbc
+bccabacccacbbbaabaaaccacbacabbbcbaacabaabaabbccacccaccbcabacccbbbcbccaca
+cbbcaaaccccbb
+caaacabbccbbacaabcbccccacbbbbccabcbaabab
+bcbaccbccabbccbacaaaccbbbbbabcaccbcabcbbcaabbaaaababccbaccabbcaababbccbcaaccacbacb
+bacbbabbbcccaabac
+bacbbcbaacbbcbcacacccccabccaccacababaabcaaacccaaa
+cbbbcbbbcbcbcacaccbbab
+abacabcacccbcbaba
+ccbbaacbccbcbcbbbbccaacb
+bcacacbbcbbcba
+bcabbbaacbbbabcabaaaabccaccccabcbbbcbbbcbabbaabbbaabaaccacacbbcacbacacbaccacaaccbbabaaacaaaabacabcbcccbcc
+acccbaaabccbaccccaabccbcbbbbccacaaababcbacccaabababbbaacabaaccbccbaaacaababbbbacacabcaaccc
+acbbbcaacacababccacbaaacbacbcbbccbcccaacbcacccccbcabcabccbcbcbbc
+abacbbacccaccbabbaaaacbbcbccccabaccacaacacabbabbabaabcacbbaccccbcbbcbbabbccbcc
+abbbbaabcaacbbaaacaaabcbcaababccbaaaabccaccaaacccbabbbcabbccbbacabacbcbcccbcbacbabacbcccb
+caccccbbaacabbaacacbabbbbacacbbbbcabcacacccbcaabcbbcccbcbababccabaaaacbcbabbcbcbccacaacbcccc
+bacbaacababaaabbbcccccbaaacccacaababb
+cbbabcbbbabbacbbbabcbbcccccbbaaccbaabbbbcabbaabbcaaaabcacabcbc
+caaacbccacaaacacbacbbaabaccbaabcbaaaabbcabbccaabaccbcbbbcbbccbabbb
+aabcaaccacbcabbbbccbaaccbaacacccbcaaaabcbccccbacaabaccbccbbbaaa
+ccacbaabcacccacabacbcabacaabbbcbbbaccacbccccababcacaabcaaaccababbaaabc
+cbacbbbbccbcbaaccabaabacabacabab
+cccbaabcccacbbcbbcabccbcbcaccbaaaca
+ccccaabccccaabaaaabbcacbbbabcacccababccaaaaccbaaaabbabaabccacacbbccabccbabacccbacbbcbb
+bcbcaababbacaababaaaaccccbac
+bcbacbaacaaaccccaababacbcaccacaccbcbcbaabaccbbbac
+acabacbabacacaccabcbbcbbbcbbbaabaacaacc
+bababbbacbaacbcaaabcccaacccaabcbcabbcbabbbabcabcbaacbcbbabcbbbacbabbbcacbbaabbaccccaaabaa
+bccccbbacbbabbaacbcbbccbccbcababbbbaaabaabacbcabbcabb
+abbabcaacbabcccaacaacbaacccbcbabbccaccbabbbabbcbaaacabbccbcbbccbabcaaaaacacbbb
+cbcbbaabbcbbbbcbbb
+bcbabccaacbbccbaacbcaccbbbcbbabaaca
+bacacabcbbbcbbbacaaabbaacbabaacaacaccabcaaccabbbbbbbcabcccabaaaacabbbbcbaacaabcacccc
+abccacaacacabacaacacbbbbbabcccbbcacccababbbbaccbbcbbcacabcbbbcbbcbabbbbaaacbacacabacccbaabbaaabcaaab
+acaccbabbcbb
+abcacbacbaaacabacaababbcbaacbbacaacaaacaabcbccaacbc
+aacbaacbbcbbabbbaaabccabcbcca
+abbcaccabcbccbaacacbbbabcabbabbbbacbabcbcbccabbcabbbccacaacbaaccabbcaa
+cabaababbbcbaccaaaccbbb
+ccaababcbbccb
+bcccaabbbbbcbcccbbbbcbbccc
+caaaacbcbbcccbbbcacbbbabbaabcbcbcacccacbbccbbbbbcbabcbaaccabbaacbcacbabbbaabbcbabbbcbb
+aaabbcbbcbbcbbacbaccaacabacbbcabcabbcaabacbacaaacabc
+aacbcaabacaccaabccabbabacaaabbccbcbacabbacacbccbbbbabcabaaacbaa
+aacbcbabaccbbcbbbcacaaaabbcaaabaaabbabbbbbcccabacbcbaac
+aabcabcccabbacaababccacbcccacbccaaccaa
+cccbcabbaacbaacacccbccbbabcbcabcccaaccabbcaacbbacbccbbbaacbbabbbbabababcabcac
+abaccccaccbaabacacbaacaabaabbcaabbcbbabaacbbbcbbbaccbbcccccc
+cbaacbaabcccacbacbbccbcc
+cabaccaacbacacbabccabab
+bbccbabccbabbcccccccbcaaccccbcabaabaacbbcbcbacaaacbccccccaccacbbaccbbacaaa
+cbcbcacabcabccccbccaccabbbcbcbcaacabbcabcaacbbabcbcb
+ababaaababaaacacabababccacabbabbbabcbcaacabbccaaabaabacbcaaacccbaaabbabcbcabbccccbbcab
+bcbbaabcbbbbbcbbcbbcacbabaabccbbbcababbccaccccbbbccccbbabab
+acccaaccbbcbbcaacabccabbcaccccccaccbcc
+bacbabacaaccbaababacaacaaacaabcabcbcccacbaaccaaabccaabcbbbcbbcacb
+bbccbaaaccab
+abaabaccbbcaaaccbacbcbbaaabbbcabcbcbbcabcbacababaaacaabc
+abccbaccccabbaabccbaacccbbcabbcbacccbcabbbbacbcbcccaaaaaaaacccbbaacccbacbbcbab
+abacbcbabbabbcbbaacbbabcaaaabbbc
+bcaacacccaccccabccababcbbbcaabaccabccaabbbcccbccbacbccbaaacabcaaaaccacbbbbcacbbaccccabccabcaaacccbca
+ccacaababcccbcacbacbcbbbabacbbbbaaccbbaaabbbbabaccbbabacca
+ccccccccaabccaaccbaccabcac
+accaaaccbcbbbaccbbbcaacbbabbcabaacbcaca
+bccbabaabccaaccbcbcbabaccccbccacbbbcbccaabcba
+bbcabacbbbaacbcccaccacbcacbccaaaababcbcabcccabacacbacbbcaaaacbbbabbcaccacabcaccacacbbccbcbcbbbbbbbbbacaca
+bbcabababbbccccbbacaabbbacabcbbcaccbbbcccbcaabbccaabbacabacbbaaaccbbbcccbbcaaacbbbbbbcacacaabbabcbcaa
+cabbabbacabaaabccbbbbbcccabbaababcaabbaaaccabcabcabccbccbbaacbabaabbccbacbbcbccbcbbbbaacbcbbbcaabaaaba
+cbbcaabbbcbbcbabaccbcaaacbabbccc
+bbcbcbcbacacbabcbbccbbaacaacbccbcbbba
+accacbcbbbaabccbcacabbaaabcbacbacbcbaabaccbcaccacabcaacaab
+abababaaacccbacbacbbbcbbcabbbabacbab
+cbbbacbcbb
+abacccbabbaaabcacacbbacbbbbaaabaccbaccbbbabbbbbccbbcaccaaacccccbbcbacaccacbabacacacabbaccacbaabba
+ccacacbacabcbababcabcaabcbaccbaacbbabbcabcbbaacccccccbabcbbabcabbcacababccabcbabbbbaabacbbcccbaaaacc
+cbbccbcccbbcacbbabbbabcaaabccbcccbaca
+bcbbbccabcacaaabaaabbabcaacccacaacbbbcaccaabcbacabbbacabccbcababbcbabbaaaaccccaaccabbcabcabac
+cbcbacbaccabcbbaacacbbccabcacabcabbcbbacbb
+ccbbaccaaaabacccaaaaaaaabcbccbbbbaacaaabcabbabacbccc
+cbaaccbacabbaaababcbbcacbbcccabcbacaaacaabccacbcacccacaccbabbbbccabaccbbac
+accbcbcaabcccaabbccaaaaaaabbcaaabcabaccaaacbacacabcbcbaaacaaabbaccabaaaaaccbbbcbabbaacaaacaaabccba
+acabcbbabbbcbbababa
+caacaccaabbcaba
+accbaabbaacccbbcbbacaaababcccabccbbbaabacaaabcabbccaaaccbacacbbababaabbbcacaaaccababac
+cbcbcacacbacbabbababccabbcaccccabbabbabcccacacaaabacaccacccbbbccb
+babcacbbabbabbacbacbb
+ccbaccaaabbcbacbbccacacbbcba
+aacacbbbabaabcbacccabaaacbcababaaaba
+cccbaacabbccbbbbccacccbcaacacccacccbcccbbcccaabbbabbcaaaabcbcbbacbacacbbcacaacccbbacbcccbbacaacbcbbcbbcb
+cbabaacbcbccbbcabcbcbcacacacabcbaaabacaacababcaacccacabbaaaaaaacbababbcaacbaaccacaaabcbaaccacacb
+acacbbbaacbccbbbbbbacbbbccccabcabccbbcaaaacbacabcba
+bbabacacbbaabaccaacbabcbacbbcbabacbaabbbcbbcca
+bbbabaaabbacbcaaabcababaaaaabbbcabbcbbbbacacaabbcbcaccccabbbaaaaabcbcaaaabacaaaabcbacb
+aabaaaaccabbaccababcbabbbccbaccbbccbcbcbcbcbcbbbbbcabbacab
+cbcaabaaababaaaabacaaabccaaacbccacccbabbccccaabaababcbacbbcccabcab
+bbccaabcbcacbccacbcbbcbbbbcbaabaabbccbbbbaaccbcccaaacbcbaaaccbaababcbcabcaacccacccabcbcbcaaabbccccacbbb
+ccbcaaababccaccbaabcacabccbccaacbbaccccbcbcbaaabbcaccabacaccacbbccaababbbbbbabbcbcbaacbababa
+bbabbabbcabaaabbacaaaccbbabcbccaabcbacabcaacccabacbccbababbacccacbaaacbccb
+bccaccabbccbaccacbbacccbbbacbbcabbabbcaacc
+baccbbccbbaabcccccbcaacaccbacaaaabaaacbbabacccbbbaaaccccaa
+ababcbaaaaccbbcabcabccb
+abacbaccccabacbbaaabccbbbababbbbbccbcbabccabbcaaacccaaccbcacbcacbccabacbbcaccaabbcc
+cabaaabbbbaabccaaabcbaccccbbccabaaabbaaaaccabccaabaaccbcaaabbcbacacabcccbbbcbcacbbccaccacccaabbcabaaaababacac
+bbcbbbcacbcbcbbbbcbbabcbcbacbcbcacacabaaabacabcab
+acaaabaccccccaabacbbcbcbbcbbcbccababbbaaccbcbbbbaacbcacaaaab
+cacacaabbccaccbcabaccabbcccccccaabc
+cababbcbccababcbcbcaaaaaaccccccabaaababc
+bbacbbcbccaaccccaacbabacaaacbbbcbaabacbaacabcbaccaabc
+aaccbcacbcbaaabbaaacbacccccbbbabbbcbbacccbaaac
+babaacababbacccbacccaabacbccabccabacbcabcaccabacaaccbcbaabba
+bcabcababbbbccbccaabbbbaabcbcbcbcabbabbbbabccacc
+aaaacbacacaaabcbaacaaababbabbcaa
+abaaaabbccbcaaccaccaccccbccacaaacbbbccccaacacccbbabaccaacbbcaaab
+baacaacbaacbbcabbbabbcccbcaacbbbabbaabcbbbbcabccbccbbcccbbcabc
+aaccbbcaaaaccaaccbbbbcacacbbcbaaaccaabacaabccabaaccccbacbacbbccbcacbaa
+cbaccbbaabaabaacbcbacacbcbbbccbabbbacbcb
+bccabcccabbccccbbcbbbbccccacaaacacbcbbcccacbbccbccbbccaaabccacaaababcabbbbaacbcbacabbababccccbccacbaa
+bbbbcbccbbacbcbbbbaaaabbaabbccacbbcbcccacacccbbbcbbccacbababacacccbbaaabaabaabaacccacbb
+cbacbbabaababbabbaababbaabcaccbbc
+caaaccbcba
+abbcbcaababcabbbcabbcbacaaccacbcacbcbaaaaaccaaa
+cbababbababaacccbcccccacccbaca
+bccbccaabbcabbbaaacbaabbcacacbccccccabbbccbcccbbbaabcaabaaccaabaaabbacbcbbcbccacaa
+ccaccabcaacbcaccaacabcbcbbbbc
+accaababcbcbcabbbcaacbcbababcaaacbbbabacabcbcaacaabcbabcaaabccaabcbbabbcbbca
+accaccbbccbcaacacbccacaaaabbbccbccacacbacaaaabbbbcccab
+bcccbbabcaccbbccbaccacabbaababcbcbbbabcabacabaaaa
+aacbabbcccccaacabbbbbcbaaacbcbacbcccaaccbaccacaaccbcacbbbababbaccc
+acbbcbabbbbcabcbccabbccaaaacacbaabacbaaaacccbabcccababacbcaaaccccbbabbbbabbccaccabbbbacabbaccccaacbcb
+aaaaacbbacbccabccbacbaaabccaaabbcbbacacccaaaacccbacbccaaaccabbacbaca
+abaaaaaabcaccbaaabaaacacacabbbcaabbcccaabbbababacbabbacbaaaacacccacbacbbbcbc
+aaabbcbbacbbcbabcabbcaacaccccbbcbbabababbc
+baacaabaaaacacccbcbbbacaccbcaaabcaabaaacbacabbcaccabbcbbbaccbaacaacbcaccacaa
+ccabbabccaaabbbabbbbbabcaabccaabbaabbaacacacacbaabbabbbcaaabbbcccaacaaccbbcbccbc
+ccaaacababbaabbcbaabcbabaacbcbcbbcabacabbcbcbcaaacaabaaaaacbbbcacccccbbcacaccaababacbb
+babbaaacaccabbbabcbabbbccca
+acbbbaacbbbaababbbcbbaccbaaccbabacbbca
+aacbabbabbaccbbbacabbccbaaa
+aabbcbacbabcbbacbcbccbcacacccaaabcbccbbccaacacaaacb
+abacacbabacabacccababbbacacbbabcbba
+bcababbabaaaaaaccbcaccacbcccccaaabccbaccccacbbbbbcabbaa
+bccbcbbccbacaabab
+cbcabaaacbbcabccacabbbaabacccbcacacbbabbaaabaabacbcbbcbccacbbcccbcbabbaccabc
+cbaaabaacacbbcbbcbcbbbaccbacaacbcccbcaaaabbccbbaabccaabb
+bbccbacbababcabbccbaababccbccacaaaccccccaccbabcbaacacabaaabbccabaabaabcbbcbcbcaccbcccaabacccbbacccbabacacb
+acbabcaccaaacccaacabccacacaacbbbbababbbcaccabbbaccbacacbccaabaabbabbabaaaaabbbaacbcbaacacbcacacbac
+caaabccbcbacbbbbcacaaccacbacacbacbbacbbbcabcacaacccaaacabbaacccabcabac
+bbbbacbaccaaacaaabbabcbcbcbcbccb
+aacbabaaacacbcbcbabbaab
+acacbcaacaabcba
+abbccbcababbcbbabcabbbcbcbbaaacccabbbbabaaaa
+aabcbbacbcbcbbccccbaaabcbcabaccbbabcaabaccaabcbaaacabbcbbc
+ccbbbaabacccccbbabcbabcbaabbccbc
+abbaabbcccbbbbccbabbbccabaccbbbacaabbabbaabbcbbbccacacbabacaaaaaccccabbaaabaabaabaaaaaccbbacbbc
+aaaaccbcabacbbbababbabbcbabbbbcbbccbbcacacccbacbaaaaabcbbcbcbbbbabcabcccbcaccbbbcababbbbbbaccacccbbabbbbbab
+ccbbabbaacccaaccbccaabacbbac
+bbbabcbbbacbabaccccccbbabbababbaccaabcabababcacccacabacbcaccbbcbcacabbccc
+cabacabccbacaacbccccaacccbccabbabbabbcabbcccbcbbacaccababbbbccacacbcbbabbbacccacabcbabbbaaacbc
+ccbcaaabcccccabccbcaababacabcbacbccbbbaccaabcaacabcccbcbacaababaaacb
+ccccbaacbbbbccccbbbcbacbaccbcbccccbcacabcccbaacbabbcccaabcabbbcbbbccccaccacaaccbbbbcabccabaacbabbaac
+bcccccabcbccbcabcacbaabbcbaacbacccacabccaccbbaaacbacbcacccbbccaccbcccccabbababacbbcbcaccabaabacbcabbabbaaccac
+abcaabaccaacbabcbbbaabccbaaacbcaaaaccccbcaacacacabacbcbbbcbaccabbbbbaacbbccbcbacccbcccaabaccbabacacaabbcbcbcb
+caccbacbcabcbababcbcbcacacbbacacc
+bbaabcabbbbab
+aabbacbbabcaaaaaaccacaccbbabaaacabbacabbacaaaabaccbbbbaccaccbbcaacccbbabacbcccabaab
+acccbbccbabacbbaccbacbccccacaabaabaaba
+cccbbcbbabcacbbabccbcaacacabcccccbacabbcacbbbcbabcacbcabbbbaaaacbabbbaacbcaacbcbcaaaabbabcbaacbcccbcbabacba
+acbcbcbbcacccccbccccaccacbaacacacccbacccbabaaabbaabcacaaaaaacccabaaacacbbccabcab
+cacbbaacbacbcabcacacacbbabbcbccabaccbabccabccbcaccacbbcacaccaabaacababcbbcbbccbcabaccaaacbb
+babbabcbbabaaaacbcacbbccbcbbcccbccccbbababcbabbcabbcbcacbabcbabccacacbbcccacbaaacbbacbbcaaaabccbcbabccb
+abacabbababababbabccbbcbbbbbaacbbcbbcacbcbbabbccccbcbbbbabababaccaccaabacbc
+abbbccacaabccacacbaccabcabbbbcbbbaabccbacaacbcaacbbccbccccbabaccbcaabccaccbaacaacccbbacccbaaccacc
+cbabbccbacccaabbacbbaabbaccbbcabcacbaaabbacccbabaccbabacccacbbca
+aabaccbbacbbcbb
+acbbcabbaccaccacbbacacbbcbaabacbccbcbcabbacbbaccbccbbacacbcaacccaaabcabcababccbaacabccaabaacacbacccbabbabcbb
+baaaacacbab
+bcbbcbcbbbbaccaaaacbabacacbabbbcbcccacbabbcbccacccbcbb
+bcacaaccacabccbccbaacbcabccaabcccbabcaaccacbbbcaacbbcbaabbab
+ccbcbbbabaacccaaacbabacaccacabccaabb
+bcbaacbaacabaabacbbaababcbbaacbbbbccaacbaabccabacbcabbabacacabccaaabbbbba
+baaaccbbbccbabbbacbbcacabaaccbbcaccacaaababbaabaabaabbaabababaabccbaccbbaaacccbb
+bbabcbabbbbcbcacacbababbacaabbcaaccbbacccbbbccbaccaacaccccbbccbacabcccabcbcccccccabaccaac
+bcbaaacaabcaaaacacabaabcacbbbbabcbacbcbcbcacaaabbacbacabcbabbbcccbcaccaaccabababcccabcbaabbcbacccccacc
+cabacbcccbbabbbbbccababcbbbbaccccabcac
+cbbbacccbabbbbcbbbbccccbbcbababcbbbbbbaaaaabcaabbaacabbcbcbabccbbcbacbcbccacbc
+ccbaccbcbcacbaabcaccacbbabaaccaccccaaababacaccbabcbbcb
+bcabcabccabccbbcbbbbaabccba
+cabbcabacbbccaaccbbcccccbacbccbcaaccbbbccabbacaabcbababcaac
+cbccacbbcaabbbcacacabccabbbcbcbcbbabbccaacaabac
+acbbcaaabbcabcccccbaccbccbcbcbabbba
+ccbccbabbaabbcbacbacaccaccaacbbbbcabcbbacbbccbaacaaaabbcbccbaacccc
+aacababcacbccccabacccbbcccbabcbbbcaabbccbccbbabbc
+abbbabcaabaabaaaaccbbbccbaacacbcabcacccbaacbccbbbaaaccbcaabbbbabbabbbacaaacacbabaccccccbacbbbacbabacac
+bcbbbbcabcaacbcacccbcbcbcbccabbabbaccaabbababbcaaaaacabbbaccaabccbaacaabbbababaabababcaa
+bccabbccabcabccbbcbabcca
+bbbacccbaabcaabbcaababcacca
+ccaaaccbbccbccacbcbbbbcabaaababbccbcbaabcccacccbbccaccbccbbccaababbcaaccbbbbaabcba
+ccbbcbababbaaacbccbcaabcccacb
+aaabcccaaaabbbccccaccbbcbaabbccbcbcaababbabcbccabbcacba
+baaacabbccbcbabbbcbcacbbccbccaabbacabcbabbbacabbabccacbbbaa
+abaabbbacabbabacbababcacaabcbbabcbcacbcabababcbbbabbabcbaccaacbacbcbccaa
+cbbabcacbbcacaabccbcbaccbababccbaaacbcba
+babcbacccbc
+bbccbbbacaabbabccabccaaacaacabcbcbbbacababcccbaccbaccabcaaccbaaacbabaababcaabcbabbcaabaabaccccabac
+bbbabbbbbabbcccbacabcaaaacaacbaccabbbccacac
+aacaaccbcbcabaaabbaacbcbccbabcccaaaccaccbbababcbbbcabcaccabcaaccabbabbcab
+abcbcbbacc
+bbcbbbabacabbbbccccbbcbcababcbcbbaccbaaacbbbcaaabaca
+cccaaaccbbbbcaabacbccabaacabca
+abbaabcbbabaabccacabaaaccbcbaaacbcbcccccbacccccababcbaabcbbbcbacbababbaaabaaccbaccacaab
+cccbbacaacabbcabacaccbbcbc
+ccacbccbbacacaaacaacabbaaacbaccacbbbbbabbcaabbacbcaccbaaabababacc
+abcccbccbaabbccacbbccabbbaccccaacabbbbcacaccaccababccaabbc
+bbbcacbabcbcbbcabaaccbbbcccbcbccccacbaabacabbccccbacbcbbc
+bcbbcccaacbccbaabcbcbbb
+bacaacbcbaaccacbacbcaa
+abbcabbbbabaccbcccbcababbbbbbcaaaaaabaccbaccbacabccbababaccabcaaacbbbacccccbababaaccb
+cabcccaabcaaccbabbbccbabbababababcbacacabbbaaabbcbbbcbbacabccacacbaaaaacbbacccaccaaacacaacabcbcabcacb
+ccabbbcbaabcaabbacbccaccabbcbbabbbccabcbbcaccbabaaaaac
+caacacaababacbaacbaacccabcbaabaccaaacbbabcabccbaccaaccbbbbcbbaababccbabccacacaababcabbbcbbcacabcccbacbc
+bbaaacacbbbbacbcacabbbcbccb
+cbabcbcabaaaacbabbaaacacbbabbcabbbabacabbcaabbcaaacabbabaacacb
+abcabcbbbbccaacbacacaccbcbaaccababccb
+cabbccbaaccbbaabcacbbcaaacbcc
+cbbccccacbcabbbbaaababcbcabaaabcaabbcaaacccbbabcbacabbbbbacbbbabbbcaaaacaccb
+ccacbacaac
+bcacabbbcababcabbcbabbbbbbbccaccaccaaacabcaaacccaacabbbbcccaabcbccbaacbacbacccbaacaabbaacbacbbcbbbcbbacbbac
+ccbcabbbaabbabbababcccccbbccbacabcacbbbbbaabbbcbacacaabaaabbbbbbcaacbccbcc
+acbcbccbcacbbaaccbcbaabc
+cbcbbbcbbbccabccacbccacaaccaaababb
+bbaaacbccaaaabcaabaacabacccaabaaabaaaaccbcc
+baacaacaabbbabaacaca
+aaaaabbbbbbbbabcaabcbcacbacabcabcbbcacbbbaaabaabcbabccbaabcbcccbcbcacbabcccaaccbbccbaabccaabcbcbbbcacbaaac
+baccaaaabaabcaaccacaaabacacaabacabbbbaccabaaabacbaccccaabcacacababbbbbcccaccbcabab
+acccccaacbbacbcabbbbbbccababcacccbbaaccbbaaaacbbabbcbcbaccabcbcbabccbcacaabbacabbcbcbacaa
+cbccabbaaacbcbabcbaaabbbbbbcbbbcbcaabcaaabaaaaaacbbabcbabaacbacbacbccca
+ccbccbbcacabaaabbbcbcccbcccaacbcaaccaacacbaabcbccaccbaaacaccabaabaaaccacacbacabbbacbcaaabacbcbabcabcbbcb
+aabcbbcaacccacbbababbccbabacbabcbaaaabacabcaabbccccbaccacbccbcccccbccbbcbabb
+bbbabbbcbcac
+abcbacccbccacacccbbbcabbabbbccccabbaaaccaaabaabaaccbaaacababacbbbcbbababaaabcababaaa
+cacbccbabacbabbbabcbaaacbabbcbcbacababbacbacabababaaaacbcaaccaccabcccbbababacacaacaabacabaaacbbabaa
+bbbccabbbbccbaccabcaacaacccbabcaacbcaaccababcbc
+cbababcaaaacabcccabacabbabbcccbbbabcbccbbabcbabacbaabcbccbbacacbaabaaabcbabbbcabbbaabacabaabcccacbca
+bbbabacaccaaaccbaaabcaccbbcbbbabaabacccababaaaabaababca
+aabaacbcccabaacbabbaccac
+cccbcacbbcacccabcbacbcbbacabbaaacbaccbcbbcbbabccbabacaccccbaabacccbcaccbacbbca
+abaaaaccbaaaabbccacbbabcbcaacccccbbbccbbaccabccacaaaaabbbcabbbccccccbacbaacbacaaccba
+aaabcbabcabbbabbccccbaacbccbccaacabcabcbbccbcbcaaccacbcabbabcabbbaccbabbabbbcacaabcbbaaabacbba
+abaaabcccaccaaaaaaacbbbbbccbcbbbccb
+cbcacaaccaaabbccabbccbaabcccccaccbccbcacaabbcaabaaababacbb
+cbcbcbabccacabcaabbcbabcbbbacbaabcabc
+bacbcbccabbacabbbababccccbcbaacbaacbcbcbccaabaaaccbbcbaccbcbcbaaabaccccbacbbbbcbabcaccabccabacccbabab
+ccaacbbcbaccaaacbbbbbacbcbabacabacabbcccabcabcbbbbbcbabccabcbbcacccbcaaccbaaacbbbccacacabaacbacbacbc
+accabcaacbccbcbaacabbababccabbccccccabaacacbaccbacbaacaccacacbaaacacbbcacacacabababbcacccbbccacaabcbbccabcbcb
+cbcacbaccaabcccbccbacbacacabccaabaccaabcbaacccbacabcabcaabcbbcbaaaaabccaabcbcbbabab
+cbacaaccacbbbbcccccbaabcbaaccbacbbacbcabcbbcccbbacb
+cacbabcaabaacbaaacbaaababaccaccbcbcbcaacaccabbaaccaccaaabccbabbacacbbbbcbbccbbabcabaacabcabcbabcb
+abacbcacbbbaacbcbbbbcbcaabaaabccbccbccaabcabcabaacabccbcabaaacaaabaaababbccacbabacccaccbaccaabbac
+cbaacabbbababcabababcbacbccacbbbaaaabaaba
+abaaccaabbbaacaaababbaaaccaabcabcbbcaccccbcbacbabcabbabaacaa
+147 29
+cabaaabcaccacbbbaaccbaacbab
+cbccaacbccbbaab
+abaccbbbccccbbacbbaacbcabacbccacbbaacacc
+bcbccccbaaabbacbabbbbacccaccbcaabbaacaabacabcbbcbabbcccbaaacbacbacacccbcb
+bbbaaabaacacbacccacbcbbbbaacbbcbbbaacaaaacbbcabccbcbacbccbcaabbcbbabcbcccbbbabbccccb
+aaacbaacaabbbabaaaaacbbbbcaabbbacccacbcccaaabbacbaabbabcacbacccaaaaaaaaaabcbbbacacbbabbccbacb
+abcbababbbaccbabcbcbaccacabbcccacbcbcab
+bcbaaaaabacbbcaaacabbbabbabaabccbaabcbbbaaaa
+bacaccababcacabcbbacbcccbbabac
+caabbaccaacbccbcbcbbbccabaacbab
+ccbacaaacbcacabbcbccababacbaababbbbabbbacbcbabbacacaacabccbbcbaaccbaccccbcbacbbbbcccbcaba
+aacccbbbcbcaabbccabcbbcaaabbacacababaaccaaccbcabbacbaabccabbcccbcbbcbbbbbbb
+bababcacbcccbabbbbcabcaabaaaccccababbaabbbbbaacabacbcabbc
+aababccacccaababcaabbccbbccabaacaccbbcabaabacacabcbccabcaaacccbaacaaccbcac
+bcbcaaabccaacabacbaaacababbaaabcaacccacaabababbaacbcaaaccabbccbbbaaabccaac
+bbbbcacabbbcbbc
+aabcaccccbcbccbcbcaababbabaabbbbbbbabababbcbbcbccaccbcaccc
+bbabcabbacbccaabccaccabccbcaaacbcbcabcaccbccabbcc
+bbbacccbbcccbccab
+bbacacbcbcaabbacbccbbbcbcaccbbbacbabcbaacbccccbbbbaacccccaaabaaabbabbbbabaccabcbbcaccaba
+bcaacbcbcacbcccbbcabbccabaaacaabccaccbcbacbbbcccb
+cabcacacacabaabbabcababacacccccbbccacabbccbcccbaaaaaabbcacabaaacbcbbcbccbcacaacbbacccbbbccbcbababc
+bccbcccaaabaabbb
+aaaccbabcbbc
+cbbcbaaccabccaaccacabaacbccaccbbbaabaccbcccabacbcbccacbbacccacbcaaaccaaabcbcbbcbbbbcaabaabbccb
+bababababba
+caaccabcabcababbabbacbcbabacabcabcbaccabaabacacbcabcacabcbcbbcaaabccbbbbcacbccbbb
+abbbcbaabacccbbbbacabccbaaacaacacabbcb
+aacacacccbbcaaccccabbacabacaabbabcbabbaccbbbcaacbbcbacacbabcaccaac
+abcbaccccababaaacbbbbaab
+cabacacbcbcbbcacacbbcbcaccaccbcac
+accbacbbcacbcbbbcccbccbbbabcabacacbcbaccccabbabbaacbccbaabcbbaabbacbbabbacbcbbbcacacccaccbacbbaacca
+bbcbbabbabaccacacccacbccaabaccaabaccbbcbacacaacabbbbcccbccbcbbabcbbbcbbcaab
+cbaccababbcabbcbcbacbccabccaabcaaacccbabacacacbbbaaaccbcaaacbbbbbabccbcbacbbacaaabccbaaccbbbcabbbbb
+accaabbcacbbabbaccaaccbaaacaccbbbcbbbbcacabbbbcbbabcccbcacccc
+cababcbbaacaaabcbbcbcabbbccbbbccbabbbabcbcccacbbbccaaccccacabcacaabaacaaabacacabbbcccccaba
+abcbbacababbacccccbcccbacccacaacbbacbbcbcbacbbbabaaccbcccbcbabaacbaabbabcbcaaaaca
+bcacaacbccccbabccaaccaaabbaccbbaccacbabcbcbcaabacbbbcccaabbbabcbcbccccaccbbcbbaabbbbcccbabbabbbbbcaaccbbabb
+aabbbbbbbcaab
+cacbaacbbcccbcaabbcccabbbbaccababaabcacacbccabbacabaccbabcacbcbcaabcccaabcacbc
+bbccbbcbcabbbcbbbbccccaabccabccabbbabbcacccabcacbbbbbbabcbaababababcbabbbcbcbcbcbcacaacaba
+aaaaaaabcabaaaabcbcbbabcbbcbbbccaccbccabcccbbabccbbbbcbcbccbabcabaaccccacacccaccbcccaacbcbbabcbaccaaaaccba
+abbbbcbbbaaccccbaaacccbbbbbabbabbbaccccbcacaaabccbbacabccabbcbabbbbbbbabaaabbbcbbb
+baccccacbacaccacbbbbaccaabaaaabaabbcaaacaa
+abccbbbcacabbbbcccbcaababbccbbab
+abacbabcbcc
+aaaabacbbaaccbbacacaccbccbbaacbbcaaccbccbaacbcbbaaaabbcabbcabbaccabccccbbabbacacbcaa
+aabcacabbccbbacabcbaccbaabaacaacbbaaaaaaccccbabbbccbacccccbbaccbacacbbcccccacbcabab
+bccbbaabccccbcbaabaccaccaabbbbabbcacbbabaabbcabacacacababacbacbacbbbccabcaccacbabcbcbacaac
+bacbccbcacbaacccaccabaacbcbabccaacaabbabcccbabacbbababcccbbcbabaccaacaaacaabccbbbacaaccccbbaacaabaa
+bcbacabaacbcaaaabbbaccbcbabcbaabccbcccaccaaacbbcaabccaabaababaacbbccabbcbcccabcccabbc
+ccabaccbbbcbaaccbaacabccbaaaccaacbccabcaabaaaccbbaaaaacbaabaa
+bcaacbbcabcbcacbbaccbbbbacacacacabbbabccccbaaababbabcabbcacaabcacbaccaabca
+acaabaaccabacbaabbbccbcaccaaabbbabbbacabbbabcbacccaaababcababbbaba
+cbcbbcabababcbbcbcbabbcabaaacbcaabbcaacaabcacbaababbccabccbbabcaaccbbcbacbcaacabccaaabcbacc
+cbbcabacbbcaacacacbcabaccbccbbbcbbabbbaabcabcabacbc
+babbacbabbbcacab
+ccbabbbbbccbcaacbcbcbaabcacaabbcacbbcbbbaabccabcccacbaaaaacabacabbcccccaccacccbcbccaaaa
+acccabacaababbbcaacbacabccabcbaccacabacabaaacbcac
+bbcaabcccbbaccabcbcbabacbaabbbcabcbabccbcbacacacaacbaabcbaaabc
+bbabacabbcc
+acabacbbbaaaaacaaccaacbabbcbacbcacacaacbbcbacaaacccaccbaccbcabababcaaacbbbaaabcabcacccbbbbcaaaccaaac
+ccbcabcbabcccbcbbbcbabaccaccccccaabaac
+caaaaccbbbcabcacabcbabcab
+baccbbccbbbaabaacaabaacacbacabbbcacaababacbcaaaabcccabaabcababbaacccaaabbbbccbbabcbabbacacbcbbbbbb
+cbabcbcbcbbcababccaccbccacacbbbbbbaabbccabcaacabbbacbbaaacbccbabbcc
+bbabcaababaaacbcabbcbcbcabaabbaaaaacbbacbabacbbbcccccbacababcaabaabcbcbbbcbbacacabbabaccac
+cbaacaababccccbaabcbcaabcaccabbbbbacbbcbcbbbccaabcccacbabbcaaaabcbabccaccaaa
+bcccabbcacbccbabaaacaccaababccbaacbbaaabcbacabbaacbcbaaabbccaabcbcbabccccbccbaaabbaacabac
+aabbcccacbaaabccacbbcaaabaabacbbcccbcbaabacbaacbcba
+bbcbabaccabbbcbabaccacacbacbaccccbccbacabababbbccbcbbbbbccacbbccbbbacbabcabcbccbacbabacbbccccabbcaaccaacaabc
+aaaaacacabbbaaaaabbaacbbccccabcababcbcaaacaaaaccabbacabccbcacaabaccaccbcaaababccaaaaababbcca
+baacbccbccaacbbbcbacccacccbcaacbbabcccaccbbbacaac
+aabacbbaaabbbcabccbbcbaccaaba
+bcaacbabcbcacbcbbcabccaaacbbabcbacbababccbbabcaabacabbcccaacabacacbbabbacaabaaabbcaacaabcbcaacbcaaccbbaaaccaa
+bbcccbbbbcacbbcbacabbcbbabcbccbaccaacaacacacccabcaaaccbcacbcacccccbcacbb
+abcacbbbccabcacbcbccabcbccaaababaacbabcccbbaccbcabbaabbaabbbabbbcbbacab
+bcbaabccbcacbcbbcaccbcaaccbbcbcaaabcbabbacccccabcacaaabbccbcacbcccbbab
+acacabcabcccccaabaccaabcccaaababaccaaaacccbbacccabaaacacbcaaccaccbbacacccccbabacababaababccabbbaabbbbbbabccaa
+bcbaaacccacababbabbbcaccaacaacbcbaabbcabcbaacabacccaabb
+acbabacbaccabaabacabcaaaaccbcbcbcbcbababbacbbcbcbccbabcbbbaabbacbbababcccacccccabcbcaaca
+bcaaababbacbaaaacabbbbabababaabacbbcbabbcccccccaacaccacbbabbcbaccaccacbcbbbcbabccbccaaccabbcbbca
+caccaacbaabbabbaacbccccabcaccbaccacababbbbcbacbcaacbabbabacccacaabcacacaabbcabacacaaaacaaaccca
+caabcbbccb
+bcacabaaaabbcbcaaaaabccbabbcaccccbbaaaabcbcbcbcbbcaacbcbccababcabcacccbacacbac
+bbcacabacabbaabbaaaaabccccbcbccbcabcbccabcccbbcaaccacbcbacbbccabbaacb
+bcabcacabaaacaabbccacbaccabacccaccbbbbacbcabbcbcbbaccbcababcccbcaacbcccaaccbaab
+ccabbbacbbccbaababcaccaccbacbbcbbbbcccabacaaccaabbabbcabcbbbcbacccaaaaccacb
+abbbaabacbccaacabcccbbcbccbcbccbbcacbabcacbcccacbcbbaccbabaaccccbcccbbbbbacbcaccbabaabccbbacaacaaab
+bcacaaccabaccbcacbbcbacbcbbbbaabbbabcabbaaacbcccabbccbcccaacbbabcaabacabacbcbaabcccaabcbccaabccbacaabbbc
+cababaaccbcbcababbabcabacbcbccabacaaaccbbbbabbbacbcaaaaaaacbacaaccabccbbbaccacbbccaca
+aacbbacbcabaaabbbaacbabccbbaabbccccabcbacaaccabcbaccbbabccbccaaaacaacbabaaccbbabbca
+acbbacaacbcccabbabbacbbabcacacaabccaacbcbbbacbacabbbaaacaacbbaaccbabaccbcabbbbabccbacccaaacbccc
+bacbbaaaabcbacbcbcbcccbbccccccaacacaabbcaccacaabbcbacacaabbaabacbc
+cbcaacccaccbabbaabbbacacccaccaacbc
+ccacaccabbaaabccbbaaacaabbbcbcaaaacca
+acbccaaacaccaabbbbacbbba
+cbaabcbcacacbccbbcaabcccabcaabbacacbbbaaabcacabbccbabbcaabaacabbacbcabac
+bcaacccccbccababbbc
+cacccbabcbacbccbcbabbcbaacacbaaacbacacbaccccccbcabccbababbabba
+ccbaabcacaacbbaaacacbbcaccbcacaaaacbbaabbbabbacbabaacab
+cbcacacacaaaaccbcbaababccacccbabcacbc
+baccaaccacbabcbbaaacbcaacacaabcbccbcacbcbccaaccbcaabbbacbabbcbbcbbbacbac
+aabbbcccbccbaccbcbbacc
+aaabbaabaccbcacccbcbaabcbacabbcbcabcbbbabbbbacabacbbabcbbabbccbbccaccbcaccbabbaacc
+baaababacaccabacbcacabaacbcbbbcbacccccaacabbbaaaccabbcccbaccccbaabbccbbbabbbbcbcabb
+cbcabccabcbabbcbcaaccabbbbcbcccbaccbcaaa
+baccbbccaacbcacabacaacccbacccaabacbaaabacac
+aabcaacaabcaaacbabbcabc
+caacbccaabaccbacbbcccbbabacacbcbccaabccccacbabcacaacbbaaacbacbcbaccbccbccacababccbcaabbbca
+bbbbbcacabbabacaacacbcabbbbbbaabbbabcbacbaabaaaabcbcbacaaccbabacbaccaaccaaabcccacacccbcabcacccb
+cacbccbacbccaccabbacbbbaaabaccacbbbabbbccabbbcaaaaabacabaa
+babacaacaabcbababbccaccbabcbabbabaabaacaccacbccbbbccabccaacbbbcbaabbacbbabaccacaabb
+aaabababbcaaaabbaaaccbabbabcaaaccaccaaaabbccb
+baaaccbabbabbcbbabcacbccacb
+bbaacaaaaaaaabbbbcab
+acbcabccacaacbcacccbccbabbbcbcbaaaccacacbcabcbacaaccbaacbcbabacccbaabbbbccbcaccbababbbbabbc
+abcacccbbcacbcbaababbbaacbccbbaaaabbccccccbbbbbbcabbacbcaaaaac
+cacaaccbaababaaabbbabababaabccbccccab
+abcbcbbaaaacacbbcbacbbaccbacbaa
+ccaabababbbaacbbabccbcbbacbcbcabbbaaabaccacbbbacbaaabcaabcbabbcbbbccbcbbccaaccccbacacaabaccbbbcbabbcacabacbc
+cbcbacbabcccaccacbcbcbbbcacaabaabca
+accacaaaccaaaacabaabaaaccaccbccaaccaabccbcabababbaccaaaaaa
+abaccbbbcaaccccbacbcacbbaabacabcacccbbabcccbbbabbccbccaba
+cacbaaabacaaabbacabbababcbcaabbcabaccaaabbaabaaaacbbacbaccabccccaacbcccbcacaabcbabcbcacccbbbbabcbcbbaca
+acabaccaaaaacaaaabbaaabbaabcacacabbaababccccbbbbccabbbaacbabbccbbbcbccabccbabccbab
+cbacacabacccccaac
+cbaaaacacaccbacacbaaacbabbcbabbcaaccabbbcbababcaacacaccbaaaaababcacaaabcbcbcbbabcaabbaacbacccabba
+ccbcbabbbccabbccbbbbaccbbbcbcabaaaccbcacbcbaabccbccbbbcbccababaabbb
+aabbabcaccccaabbcbcbaaabacabcbacccc
+acbcbcbbaccccacaacaccccbbbbbabaababcccbabcbcabcbabbabaaccbbccaacbaaabbacbbbabcbcaccaaa
+abcaaaabcacaabbabcbccabccbbcbaaccaabcacbacbbaaacbbabcbacbbbc
+ccccbcabbabbabbbaaacbabaacabacabaaccbabccbbbccbacacababaabbaacaababbaaabacabacabbaacbcccab
+cababbacaaccccbbbabbcccabbcbaccbabbcbbabacaabcbaacbccbbaacccbcacccbb
+cbabcbaaabbbaaaaacccbbcacaaccbacbbbbbbbaaacbcbaaaaccaaaabaaaaacbbbcccbcb
+babcbbbccbcccaccaacacbbaaabcaaaaccbbaaa
+cabaccacaabcbcbcbcbaaacbabaaaccaccbbaccccaccaccbccabcbacabacabbbaccccaaacbcbbba
+cccbbccbabcbbacbbbaaacacaabcabababbcaccbbaabbaaaccbcabbcbcccccbbccbbbbabac
+acabbccbcaaaabbacacacacbcbabcacbbcbbbababa
+aaaaaabbaca
+bbcbaacbbacacbbbabcbaaccabcabbcaacabcabcbacabbaacaccbcaaabacacccaacccabaaccacccacbcbaabc
+cabaaacbbcabcccaaaaaaaacbcbabbaaaaababcbccaabcaabccccacbc
+ccaccbbcbaaaacabbbbaababcaccbccbcabaabaccbacabb
+bccbcabcabcccabbabbacbaacb
+ccccccbccacabcbcbabacccbaabcccbbcccccaaccbcacabccbaaaababcacbbaacaaaccbac
+caacabacacacabaa
+bcacbbcbbabcacccbbaabccccacacaaabacbacaaacaaaaacbbaacaacabccbaabacbbcbacbbcbbcaaa
+271 172
+daacdabccbbbcabcccdbadabbdaaabddddacdcbddacabcaaddacabcccabcbdcccbddbadaccacddadaacbd
+bdcabbadcbdbbbadabbdddccdabacacabdacbaaaaddccbcbddacccbdaddbcaaaabcbdaacdccbaccabcdbddd
+badbabbbdddbdcdabccadbcd
+bcdbabdadbcdccaaabbacbbcdbbbdbbddddbbaacbbcaaaabcbdcdddcadddaddbdaa
+acbcddbaabdccbcdabdbbb
+acdbdcacdcdbdcccbcbdddbdd
+caccabcaacbbaacbbcacabdbccaddcdccdbccbcdccddddacbaccdbddcbdacccbbcc
+bddabcacabcdbcdbdbdccaddaaddadbbabbbbaadaacabbabdbaccdbddccdcbdbbbadb
+addbddcacdacaacbdbbdcbdbbcabcaccbdbddbbaabdadbdaacbaacabadcdcdacaadbbaaddcbcdcdbbdc
+dbdbadcacaddbacaaddbacddacdaddbacbcddabddbbdddc
+dcaacabaacdaaacbbdbdbcaddbdaaacbcabdabddbaacbcccdccdacbbdbaccbbcacbcdbbdadacaddbcabbacdbbd
+bbaadcccaaabdbdcaababdbdddd
+bcaaccacbdcababbdabcbdabbbdbaaaadcadcacdcdb
+dcaaccccddbacbdcaabbdbcadcaabbcadccbccddadcbacdaabbcdcadbabddaccdbbdcbdbcbcdddccdcdcbd
+cdacddbadcaacaccaaaacbcaccaabacdcdccbdbbaddbbbccdcdbadbadaac
+cccdcdaccbabaacacccaccacacccdcbbddcabaccbbbabbbac
+cddcabccccddabb
+aaabbcbcbdca
+abdabdabccdaddacbdcaaabdddcddcccaaaadd
+baadddaaaddbddbbaca
+bddcacdbcbc
+cddcdddbbbadbddccadcadcabbdbcdcddcbaddcaacdcbcaddbbcada
+aabbadccaaccbaaddbdcdcbddcdadbddabdbd
+aabdbbdbaaaabbdcaccdaabddadcdbaabbcaabacabbcacbbbdadcdbbdbddbaccccbdcbba
+bdccbaadaaacbcdcdabccaadcdcddabadcdcaddbdcbddcaccaddababbccdb
+dbbaccaabacbcaadadaddbddcabacaaabaaddbcccbbbababadbbdcddbdcacbdcbabdacaddabdbbdaadaacdbcdabbdaacdbdbcccdacbbd
+babbacccbba
+adcdcdbddccbbadcaabcdbdddcac
+cadacdaaabbddbadbaacdbcacc
+acaddcdccbdaccbcccc
+daccddaddcdddddcacacccbcbcbcbbbdcddbddddcddbccabaadcddacbacadadcabdcddabababcbabbbadcccbabbccab
+bcdccddbcbabadcb
+cccaddddcabaabbdccbbbacaddbbdbadbcbaccadaadabdcdcbdccdabcbdaccdbdbd
+cabcbddccdbccacdababccbaddabdabbbacdbacdbdcbadccbcadacaaddaaddaaaaccbdcccdabdbbabdacbbd
+abaabdaadaccddccdddaddbccbdbdbcbccdcbbabadcaddacbcdaacddacdbcacdbcadbdbbdadcacacccabd
+dcbcbbbdbccabadddadcdccdddbbacdbccaccbcacacdcabdcdaabbabdbdaccbaadadccaaacadcacdbcbabbcdacacbdba
+abadcdcaacaddaadccbdbdcbbcdaabcdcaccbbbbacbaccdaacaacabdcaca
+ccdadbdaabcaccaba
+bccabccadbcdbcbaabbaaddacaddba
+aabbabcadadabcdabccddddbaccddddadabdbd
+bdbdccddbbdddcbdbaaabadabdcdcdabcbdcadacdcdcdcbddaaaaabdadacd
+babadbccdbbdbbaacdccdbbccdaddbcbdcaaadacbbcdcacacdaacdabcdbcbbdcddccaddcdbabacdccdaacaadabd
+ccaaddbddbaabbaaacbdbbbcdcbddccaddcddababbcabdbbbacadbcadcdaabdddb
+cddaaabbcdadaabbabdbdbcaddaadddabdbaaaaaddcbbccbcbbcdbcacdbdccbabaacddbabbcabdcddcabddaadb
+badadddadacbddccaabcaddacaccdddccaabdacccabddabaadacbabbbbcd
+ddadacccacdcdadcbdcabadbdabbcbacabdaadacccbbb
+cbdcbadacaddbcdddbaccbdbadbddaccbcbddddbacbcddadcbaccabbacaacacddcbdaddddacc
+bcddadcdcdbdcc
+bdabcccaaddbbdcbccaccdadccbcacbbacbccdcccaaccbbdcbcbbdcbcbaaaccbca
+abbadbdaddcdcabcdacabddacdcbbcbcaadadcdcbadbdcbccbdddcdbadbabbabbacabddaabcdcbaaacdbba
+ddccccdbaacbaaddccccacbcddadcdaadddcdbcadcddcabcbbbbdbbdccaaaabbadcddcbaacbbbabbcbccddc
+cbaadaaaacbabbdbbdbdaadbacdcbdcbabddadddbdbbacbbabadccccadaaadaadbdbcdcbdbbccdbacccbdabbad
+bdabbddbbabaabbbddacbbbcbcabbacbabbdbaadbddaabdbacdd
+dddbaaddccadacdbbdcdccbacabbdcbbdcdcdbbcbbddbccccaaddddccbccdcccabdbbbcacdcccbdcdaddacacddba
+addbbdddcadabddddbdac
+abcaadbdbaadcbdcddcaacbcabaaabdbdcabdbbdcbbcbdcadbacaabbccbdcbcbaacbbcbdcaccabdababccacacbadbcacad
+adccbdbbbaadcccbcbccaacdaaacaabbaaddbaaabacdacabdbcdccdbdcdaa
+ddbddbdccaccadbbccaaccdbdabaadbaabdccbcaabccdcddddaaddabbcdbbcbadbbccacbbaabd
+dcbaddcabbdbadccaaabddbccadabdaaddaabcbdcabdcaadcbabcddadbcadbabdbcadd
+cbcbcddccaacacdcdbaabbcaddbaccdadb
+dbbdbabdddbacabaddcbdabcccbaacaaccabadabacbbbabdaadcdabdddcdbbaadabbbdadbabaadadccdcdcbcbcacbbccbbddcabbdbdda
+bbccbbcbdaccdddccaccdabbdcdbbdddcaccbccdbbbdcbbbbdbaccddaacdacdddaaabdacdababcddcbddadcdddaabbddabddbbccbbad
+dbcbaddcdaddabbdacdaaadbdaccddcdcbcbbaabdbaddbdbcabbddbdcadccaabaaabcbbbdcadccbcdbcaddbbccbaccddabbbacdbacabd
+acbdbbaaacabcdbdcaaccbbdbacdbadddcadaaaaacbbbcababacaccdcacbbdacdddabbcabbbdddcbcbcacaddacbacb
+ddadaaabababbdaabccbdbdaacacdbccbccddadadbaadddddadabddcaddacccdabbcacbadcddbdcaadddcdcdba
+bacbbbacbcacccdaaaccaddbcbddcaabcbdbaccaaaaddadaaa
+dababbcdadaabacaadddababcddcbadbbadacbdbbccabcaadacbbbdcbdb
+dccbbaabcdcacbddcbbaabcadcc
+acbaadcdcdadbcaddbbdcdad
+cbacaddcdbbccdcaddbacaabcccaaaaaaabadacddadacabcbbadddddbbbb
+ddacadcdbbcddadadaccccbabcbbccbbacdbbcccabcacdbadaaadddadbcbbacaaccabdbbdcbbdbbadadccccddbc
+caaaccbddcccddadacbcdabbccbbcccbdcdcccddacdabbddadacabbadbdcacda
+aaaabaddadadacdbccacdbcadcbdccdcccbbabddcbdcbaacddccaaabacccbdccacac
+daaaccacabdacdcccdadacbdbddbabaddddadabbcdaccaadcbcabdccacddcdd
+dadcdddbbbaadabccabccacdacacdddaacdbadacadbabc
+bcdccbcbcaccdadbcacbabdcadbbbccbcbcbdddbdaddadbaabdaadccbccaabccdaccbcb
+bacaddabddbccaaccdbaccdbdcdaddaadacbaddaccbbddbdbadddbcddbabdbaccdccdccdabbccc
+bcbcdcbbbaabbccdddadddacbdddacdaabcadcdcabadabadccccaabcddbdaadbbabdabdcacbaddabcbbbabbbdbcd
+adbbdacdadbbbbcbbdbbbbcbddbbbbbcabaaccc
+dbcadbadabddbcdcccbaabadccaccbabcbccbddccdbadbbbdaaadadbcbcbddcc
+cababddcaaaddbdcacdcdbcdbcdcaabacddadaddcbabcaaacadaabcdacacddabdbcabdadabadaabdaaccdcd
+cbabcdbdaccbadbbcbdadcaccbcddcddaaddddbaaddaddcbadbdbdbbbbbaabacdbcadcaadcbadabd
+baccbbbaadabbbccaccdaabadcadabbddbdacacadabaabbaacabcbadacabcacabddadbabbdc
+cbbbbcdcdaaaadcaddbcccaacbbcabadaaadcddaaadcadddbacbacdcddbaccdaadcdacdaddcbcddccddcddcabacbcddabcbdddda
+cbbcbdcbaadcaaadbdbacaabcbcbbbabdacacbaccbdaacabbbcccccdbddacbddbaddddbcdcdcdbacbcdadcbdabccdbbacadaddcaaa
+dddabaccabadacdaaadaabaadabcaabbbbdbcaacbba
+cddcabcadbbccbddcabcccbaaaddcbdacdcbcbcdccbadadddddb
+abaccbbabddcbbcbbcbbcacbdbccbcaacaabdabbbbdacaadaacddababbdcbdddb
+ddcddbaccdadcaa
+dddbddccbad
+aadbdadadcbbbbdddbccaacdcbcbdbcacba
+aabadadacadadcadaddabccaacbcdaaaccadbcdacabdaabccccbdcacbdbadbdacbcbbbabacbacdbccbcccddababddca
+accdcbdbccddbacaddacbdacdcd
+dbdabdacdbcaacaadccbbcaabdabbdaadaadccbbbdddcacadbaccdbcdbbdacdadbcacbbdccca
+ddacaddbbbaddbcddcbdaabdcadccccbabbabaabdbcccdcbdbacbadacddadcaddacadbbcacaacdaacacdcbacabdbdcdcccac
+dccdcddbbccdaabccdcaaddbb
+bbcdbdabcccaadbcbdbbaaabdcadbadadbbddaacbbbbaac
+bbabcacbaddabbcdddcadcbaccadaccccbabbbadbadaadddcadababcdbaaccaababbcabbbabdadcaccddc
+bdbcdbbcddcbbbaaadbbaaadcdadbcdabaacbdcbcabbada
+adccabbbdccbdbbbbbdcbabccdabcbddddddddacdddaabdbcdacbdddddddabcbbcacccbdacaadcbcdbdbacdcaab
+accbbdbbbbbaabdcdaccadaacaabbcdcdcdaaadbbbbaaacaabadbcbddbccabcdabacccbadccccddbadcadd
+adcddbcdccabacdacccccdbdbcdbcccdaadacacdabaccabcdabbadcdddacbbddcddcc
+ccbaccdaaabdadddcbadbdaacbccacbddcbcddbdcdcaaaacdbcadcbacbccbcdacabddadb
+bbbabdbacbaabaabacbcadabdabcadccabababadbaacabacdccadbbbcdcacaddd
+aadbcaadaadcaaabcabcaaddabddcacbbca
+cdbbbddbbbbdaccbabdbdccbcbaccadabaabbddbadddabbbcacdbcdaa
+cdcbcddddccdcd
+cbdbdddacdabcdbcbadbbbdadabcdbdaab
+cbbbdbbaaacbadddcabddcdadaabdddcbbdccdccdcabadacccdcdbaadcdbbcc
+acaaddbdadbdbbbababbbacacadbcdbbaccabdbccacbddabbacbd
+dacbbcdcaaddbbbbaabababcbcbacacbdd
+bdbcabacdbdaddddcbcacbcacadbcdbdbacdcdcaccaccd
+aabcddacccccbbcbbcccbbbaaacdbcbcdbcdabacbabdcaaccbaadabbbbabdcbacacadab
+adbbadbadcdacbdcaccabbcaacccbcadacaaccccccaabc
+acdababbccdbaadcbbdcabcabcbddddabdbaacccddddaaddaabbbcbddadcdbddc
+bcabddbbabadddadcdcdcdaadacaabbaaaaabcbbacbab
+aaddbdcaaabbdcbcdccccbbbbadbcddccadbaddbdcccdabcbcccccbaccbcc
+dcaccabcaadcbbbdacbbbbcbababaddbdabbccbacdcacbd
+cdcbcbbddabbcaddaaaadbacaabcdadaabaaaccaaabcdcadbbdbbcbcbdddadacdba
+aadbdcccabcccaacabdcacbdcaddcccdddabbdddbcddac
+cbccacbcbbcaaadacabddbcaccabbaccdccdacbcdcdccdcdadd
+ccdbddbcddaccdabcacdcbdcccdcdcadadabcccacadbcbbdbbadbdbdcbcabdcbbabbdabdbcbddbb
+cddcbdbcdcabadbcdcbbcbbbbaaaccbdccdaccaacdabbdbcdcbdaadbaabacbcdbbbcbaaddacacbcabacdaddcabbadcccccdcd
+bbddddbcbdddcaaddababbdcccdaaddbbcbcd
+bcdbcaabdcabdacd
+daccdbadcabddcbbcbaadacaccbbadbcccdabdd
+adbdcbdaabddabcdadbabcaaaaacccdbcadbaadbcaabdcddabaaacccdbb
+acddaacacdbddbdbdbadacdddaccbcaccbcbcbdccdaccaacadbbdacccbccdbdababbaaaaaacbabdabaacdcdcdbdccabdabdaadbcca
+dbbbbccbbbdccabbcdbddacbddaab
+cdbcbbbacbcaadbaaacbddbbbcccabbbdbddcdbc
+addadcbccacbdcccdbbaccdbdcdcaddccbaadbaabdcdcbbaadbdbbdcbcaabcdbddccdcadcbbdbbbddddbcbccdacabbdabbcaadd
+cabcbbdbdcdcbcabbcbcccbbccdccaadbdabbdbcdaadcbaacdccdcbcbbdadabdddbabacbabcddbcaadabaaacabbdddcdbda
+cbbdaadbadaabbccadbcddcadcddcdacdcccccbacdbaadbbbdddcdbcaccbcbdcdbcdcdcdccccdcadddabcccddbcadcdcdadacccd
+bddbacbbdbcddccbcdcbbcdccaaadadadccdacc
+aadddbcbcdcbbcda
+dabbaabcdddbbacbddbdbadcaddccdbcbdaacaabaadacdbadaaccbadcdbbbadbabbbccccddaabbcadbdacca
+cabdbbcbbcaaadbcaacadbcacadcdadaaabcbccddddbdbcbdbaacbbbbbccaacccdbaddbbadcaaddadccadacdabb
+aacacccaacccdadad
+abcbabcaaacdaaabadbddabaddcdadaddcbddaaddacabcd
+dccdadbabaaadbcdbbdbbdbdacabdaababadacaabaaccbbbbbdcacbacbadabadddaadaaaba
+bcaddabaaadbbbdcaccaabbabdcbadbdabadcdbdcabbcabcdcbaaabccbccabcbdbcbadbbbbdcbadadcaccacbbddcdbabcbabc
+cadcdccaaadaacbadcccbcaabcbad
+cacccabcddbacbadddccacbdaacbcdbabaccdbddbbababbabbabcadddab
+abddbccbcbaadbdddbdcbbaddaccbbcbcacabaaddacdcdbddb
+dadacacbbdbaadddcadadbdaadddbcdcbbbccbcacdcaaccccad
+ddccdcbccadabcddbddbcddcbacbcbdccdcbbbcadcbbccddcccdaaa
+dbbacbddabcdbabaabaacdaaaaabdaadbdaaddaddcacbca
+bddbcccbad
+ccaaaddabddacdccbcbdcdbbbbadaddacabddbcacaddcabccdcaabcbcbabacdacadacdbcaacccbdaacaaabdbacdbcdcbaadabacccad
+ddddccbcaddbdabaaddbdcccbcbcddbcdcacdadbaadbadadcbbcdadbdbcadcbcacabbccdbbcdaacabbacaabdacccbaabbaccddaaca
+cababbbaaaaabaadbbccdcbdcbbdbbccbbdbaccabdbdacdcdacaacabcbccbcdbaccdbdabdbcbbabbbdcadddcbabadba
+baddabdcadaabadabcccdabaaaddbddcddcbacbaccacbaccbadabdacdddabacbbcbcbabbadbadcdaaacbdcddadccdddbacbbbacbcc
+dbadcbaabddccadacdadcdbbabccbcccaccabaddddaacbdcaccddbccdbbaadcbcdcddbaccbbaddaaadbacdbdbcaaaabadbdc
+dcddacdaacdbcbccacacdacadbdcddacddbcbdcccccddcbadaadaadbbbddbcdaacccdbcabdbadbbadbdabcdbcab
+bdddbddcbadbbcadccabdabdaddcaadabdcbabacbdbcbbadbaddcbadabbcabcaaddcabcabbcddacbcbcabbcabdcba
+adbbaacadbbdaaaacaaaacabcbcdbdcbbadccdababccdcdadcbdbadaaabdcbaccbaccacdddcdaba
+dbcdadbabacdbacdadacaaabbcbcbcdcbcdbabbdcccbcdcccbbdcdbcdaacdacacbbddbbbdd
+ababacddbabbbbdaddcdaacdccbaddcdbacbbaabcdcbcdadbdaabdccadccbdddbcacddab
+cccabaddaadbddacbaacdbbbbddcadaadcbcbaaaaadadadbccadbddaacdbbcb
+aabdabbabccaadcacdda
+cddaaddabacabbbcdddccabccbdbccdadaccccbacaaaadbbadabccdcbbadcadbccbbaacacdddccba
+bdabbacddcddaabbbcadcdddaadabaddddcbdacbbabaaad
+bcaaacacadaaddbddaccca
+ccdaccbacaab
+adaccbdccbbbbcda
+abbccdbccb
+cacabbbccaca
+bacbdabddbdbddabaadddcdcabaddbd
+ccddccdbdadaacdaacadcabcddcabaaadbccdaddbbaddaacbdacbadcccbbabaccdcbcabdbacbccaabddbacdbcccdababba
+badbcccbcdcbacbbdbccadddbcacbbdabdabdaccccddaacabdcdcdcdcbdbdbccbaccbdcccbcdbdbbabbbddbdcbbcccaccbcdddaa
+bccbbdbcddccdcbcbbaabbcddcabacba
+ccaaabcdabddbcbabbaddccdddbbdcddbadbdcabadcdbbdabdbaadccbbabbddcbdaddabcdacdcbbccbacbc
+cbabdaaabaadadcbaacbccbdbacaddaabccacbcadccacbaababbdcdbadadbadddbbadaacbcbdaccacacdadacdcda
+dcddbbcacdaadcddcccdacacdcacdd
+cbbabcdbbbdaabbadbaadadccbccdcdddbbdbacdcdababbdbccbcbdcaaaddcbdabaacbccba
+bdcdddcbaaabbddbbbbcdcddadbabbbcadbbabdabcdbccccaabdddccbdabbcddaccdbcdaadcbb
+ccdaccbbdbbdabadbdbcacbbdbacdccdabdbbcddacbcaba
+dbdbcdbaadaaacdbcacbdaccbcacdcddccdabcabdadbcaacabcbcdbccacdcbbcddccbcdbccaccdaccbbaddabdbaadddcccbcdaabdbb
+ddbbbbbacdbbbabcccabbbdaccdbbadcbcaabdbdcbabcdbaddbbadbaaadabdddcacdad
+caabaccabdcdddadbbcabacdbbaccdaaccaacadacdcacbccacccdbdbcccdbaacdddddacddadbbdcdbcbabcb
+cbadcdbdcbbdaadaadbaddbdadaabaccaabbccccbaabadacbabbbcaabaadaccccddcccadcccabad
+bbddaabcbaddcbddbbbaabcddbcdababbdadddbbddcbcccbabccabaaccaabcacaddbdcbdacaddcbcdcdbbcbcdbacadcbdbccbccbacbd
+daccccbbbddbaaadaadcabadbcadbbddbbcddadcdadadabdacdbbb
+ccbdcdcaaca
+ddacdadbcdcccddcbdbdcbccddaaccabdbcddbcdccdccdcacbccccbddadcbaadaabbddcdcdcadcbbdcccacdbaccdbccbbbcaadbb
+bbdabaabdcccdcbcbdcdcbbbcbacabaccacddcbbabdbdbddcccaccbcdddddccac
+abaaabbddacbbaddbdaabcaaadbcdaabbbdcdabababbdabab
+dddddadcdbdcdbdaacdaddbcdcacbbbddbdbaccbbccdddcbdbbdcbcbcdbbbaddbdaaccdcbabddddbbadbadcddaacbacbdadcbcacbacd
+bacbbabdcadaabbbcbbbcccbdbbbabdaadcbacbaacacdccbcabdabbddccbb
+dccccbdddccacbcababdadbabcbcadadcccaaabda
+bdaaaaddddabadcbdbdbdacdabbbbabddabddccdaddddddaccabbbc
+cdcccbacaccdbadadbddddddacbbabdccccccbdaadd
+bbbbbaabcbcdadcbbdbbbdcccdadcabadcdbaababcdadaabcdacabdbdcacdcbcccbb
+dddbbabdcacbdcccaddcbddbcaaab
+cbcbaddbdcadccc
+acdbabddbdbbcbadacadcaccdddadaaabbdaadbdaabdadabddbacabcbdbcbbcadaac
+badcacbdddbcbdb
+caacddabcdcaaadccdcdccddbcdbcdadaccdcbbddbaabbbcbaabdccdcdccbccbaddaacababdbcaaacadbcabcbdaacbddcdbabbbdad
+baadccabcbcdbbbdbddaacbcccbddcacadcacabaccabadcbddcbcbdacbdadbcdabcaccbaabbbbcbaaaaddbadbbbbdbc
+accaccbdbbacaacbcddcacddacbcaccbdacadbccaadbabdcbbacbddbdcbcdbbcddcabdddcbadcadabdabcd
+bcacbcccddddaacdaddddbaccaacddcc
+bbbadcadcdaadabcd
+caacdcbcaaaca
+baccdcdccb
+bccddcbbdccbdbbcccdcbbbddbacbbdddabdabadcddacccbdabaadabba
+bcddbcbddbdacbddbbbccdcbcdcdccdadaababaadabcdbcbbbaaacdaaabddcdbddaa
+cbcdabaacaccdcbaabccddcbdccaccdabdcccdadddbcacbdbacbcddaabacdbddadbccbdaabcbdacdaadcccddacbcbdccabd
+cdbbbbddcbbbcdabcca
+daaaabdaddcbbdcadddbcd
+dabdcaaaccabdbdbddbbadabaaddccb
+abbacddbacbaca
+acbcbacdccbd
+bbabcbcdabcaaddbabadaddbdacddaadaddaadabbaaacdbdbccacadbcddacdccadbbbadcadcccdacabddcdbdaccbcaaca
+cadaabbddddcbdcbcdbddbdcaddbdacbbadacdbdbaaabddcabdbbacccacdbbcbcdbcabccbbacdadaddba
+accaabdcddaaabbbacbcdbddccccbacacaddacacaaaabcdabdcadccca
+bdbbdccbcddbadb
+acaacbbabbcbbcbccbbacbacdadcbdbaddccabcdccaabdcdacbcccdacbabcaddacbdbccbcbcaddbbadd
+cbbdaccbbadcabdbaacbca
+bcccdbccbdadccccdadbaccdccadcdcbdbabdcdaaccaabbbabcacbcdcaadabacacbccbccdbdbcdadabd
+aadabbadbcdaaddadba
+dadbddcaddbcdacbbbadaadbbcaccddacdc
+dadddacacaabbaababcaadcdbccdcdddbddbcccdcccadaacddbcadbdddacbcccdbaadbbcbbcb
+adadcbbcadbaacccdbabbbacdccbbdadabdbaabbbccdddcadbabcaaadccdaddda
+baddaaaacddaacaababcadddaabbadabbcdbccadbcadbcabcdddadadaacdbbbdcddaadadbacacbbdcdcccdcdaccdabcaaaabdccc
+aaabccbccbaaccdabdcbddbdaadc
+bbbaabcddbcdbbdbacadc
+cbbdcaddccaabadbbadcacbbcdacbddaaacadcbadbaddcabddbbaccbdacdddbbdadbd
+caabcdddcabadaccbadaddabccbabbbacaddaacccdddabdccbbacdbaddcccdcbcddcaaddcc
+abcaabcadddddadabbcddabdbbbabbbabcdadcdddaabdcbccdbbabadcadbbabadcccdabbcabbbbbbaddbdabababaadacdddcbadabcdaa
+addabbcabaacbdadadadcaabcbddbcbcbabcddadbcdab
+cdbaccbadcb
+bcbababdbdbccdbcbbddcbddbcbdbc
+caadcbdbdccdaccdccbbbbcddccdbccdbdaabcbccacdbcbaabaa
+cbcbadbdaaacbddbdabadacc
+bcddaccbadbbb
+accdadadbbabdccadcccaaca
+dcbaabddadcbabbbcbccbbbbadbdaabddbbacadadddcbbdacdbdddbcaabaaacadccbbbbbabcadbdaaddacbadcbbdacbacbbacbbcdcbd
+cdaaaddacdbdccdccbbacbababacbbcbccacadcbbdbabccadcccccccdadccdbbdbbacadacbdbabccabadbdcdccaadaacacb
+bbbbdacccaccdbcdabccdcdcadaacddcabaadcdaccbaaabdaaabcbdadbaacbdcdaaabcaabcacdacbbadd
+aacddcdddcdcadccdadccdddbddbcccabcdcccddbcbcbbdadabcba
+abbbabdbccd
+cdddddaddaddcbcadcbabbdaddacbcadbaacacaacdbbcabcdcb
+cddbcddbadcabccdbddd
+cbdbbcddddacbadaaccbaaaacbcddbccaccaddacdddaaddccbccccddbcddddaaaaa
+daccdbbcbaacdbbdadbcbcdaccbbcbccdcbbcaccdabccabbccabddbbcaabdacadaddbabdaccccccbcdbbdaabcdcdbdcccdccacccad
+ccbabcbdccdccccacdbdbaccbcdbddddacbaccdbacdacdabcbcaaacadbcadcabdadcaddbddcacbddcccabdaddac
+bcdababbbacabbaabaaacabcadbbbcdaabbababdbdbddac
+cbdaddbdaacccccabacdccadbcbbadacdabaadaadccdcdbcbbadccdabaadabacadadbbbbcbcadcdcdca
+abdbbdbcabbdababbcbaacdcbcbcbdaaacdabbaccdcccccdddacbccdcdbcadbdbaadabaadcdcdccccccdbacbaadcbcaca
+ddcdacdcddcbdbcbcbddbdddbccabdbbbbdbbcccbababaaadcbabacdddddadbaddbaaabcbaacbddacaaab
+adbaccccbccacc
+abdacadbbcbccddbdaccccabdcbaddcbbcaadbcbaabccbcaddcadcbcabcdbdaaabcbdbcacbccadccccbb
+cdcacdccdabdccbddbbacdcdccdddbbdbdcabcababdbdabcddcccbabdcdccdaabcbbacbddcabadbbaad
+cadaadddaabadadc
+abcbdddabbcdaaabaadcdd
+badbddddbacbabcabcddcaccbdcbccbadacadacbaacabaaddddcbdacaddcaadcbd
+dccacdadbadcdddabdddcbddbcbcaddbdbbdbbcbbddbbaabcabaccbccbaddbbbdcdcdaabccbbbbadbbdcd
+ddbdadcaacbaacbcddcbcadaabbabbcdbbdabcdddda
+bbbaadaddbdadbdbaadcccdbcaadaacbdcbaabcdaaacabbdcdaaaddaaaacdaccbcbbc
+dbcddbaabaaacbacacacdaddabababdccadbbbbcdacdbdbdcabadcabdaccbabdddddabbcddadbcdadaaaaac
+ccdabdacbaadacdbadcbbdcaabacdabaacabbaababcc
+dccacababcbddacbbbbcbadddacccbabddadaacaaaccac
+ddaddccbbdcdcabdbbdcbdacbbbdcdbddadaacdddddbdddbccacacacdcdaccadbddccbccdcbdcdbacccdbdcaacbbbddbdcbac
+bcdbacabadcdb
+daccacaccbaad
+acdaaabcdacbdabacabccaadbbcd
+abacdadbacbabccccacabbddbddadabdbccadcbacbccaaadd
+cccdaaacdccdbaaadddcadbdbaabddcbabcdadaacabccabadbdbdaccbdccdcdadaadddabbdb
+baccabbcaaddcbdccbabbdcab
+dcdbcdccbbbbabccbdcadbbcacdabcbabcaddbbbcddacadbbabdccbdcdabccbbcbaadabcabcbccacbbbbddcbbddcccbdadbdccbaa
+cdccdadbbdcdbacbccabdbbbcdaacbbabdcbbcdacdcc
+65 60
+dbdcbdaaaacaa
+ccacdabdddaccdcabbcbadbbbaaddcbcaddbbadcdcaaadbdbbacbbcddacbabdccbbbdaddadcaddbc
+cbdddbbdbcdcbbbaccacbcbbcdababdccddbccaaacbbadaddaadddcdaadcddcdaadcdabcdaddbdadddabdbaaadbcddbccdddcbc
+babdbccbdbddbabddbcddbbacbccbabccdaacabdcddbdddd
+bcadbbadbaabdabacadbacbbcacabbaabacbadabcbbadcdccdbbdabaddcabcadcadbabcbbcca
+dbdcbddabcadddaddbaa
+cccddacdcbbdaddbdabdabdcccabddddcacdbccbdbbcdabbcadbdccccdcaccdbacdacabadca
+bcdcabbbbaccdbaa
+dddbcbbddcbdcaabdabdcbaaabcdcbbddddadbbcdbbbb
+abccabadacaccbdaacabbdabcabcbbdccbdcddaadadddadcbbcddccdbcacaccbdddcbacbbdcbdbdcdbdddabcccda
+abdbcdadcacadb
+cabbdcacacacddcacadcccaadcacabcbaddabcdbacbdbabdccbccdcabbbdacaaabdbddaabca
+adbcbbdbbcdcadbcd
+dcadbdbcacadccbadcbbdaddcabcbccddabd
+dbdddaccddcccacbacacbccadacdbdbdbdcbcbbacdbcaabdcabd
+cadcbdadab
+abdbcdbacbdacabdcdcaadbacdadabdddbdcbcbcbaccdcdaddccbaddcabccdccbbbabdbadbbcbddccaaaaaca
+abdbbaaaccdccbbbddbdcdcbcbcdabaacdcabdbcdcd
+acccbddbccdbdcbdcbaadaadacadca
+bccccbacdaddc
+dbbdabbdcaaccdaabccbdbbdbdabbcbbbcdadbbc
+bacdabcaccddcabccbcbcdddbdbbbccbdac
+ccabcdbcbcadbdbbddbdbbdabcdaaaacadcdbcccabdbcdcadbdbaaadb
+bbbdabbabbbacadccbaccccbccaacdaacdacaadacadcdaaddbabccbbadddaddddbaccabdcabdadbccbbacddcdbc
+dddaabacdbbcdacdabbaaaabcbcbabbbbdcadbacaacbdccacabaccabacabdccdcabbdcc
+aadcbccacdcbdbbabacbbbc
+cddadadcaadacabbdadadbbbddaddbdbbbadbdbcbdadbabaaaabdbcccccdbaadacccbaac
+cdaabacadbbbbbbacabaadbadbcdcbcadcaadcaaacdddbdac
+aadccdacbaaaacccdaacadbacacdbaaacbcbddddaacc
+daadcccacacacccadaacbbdbdcacccdacdddacccbdbabadcbadaabcbbacbadabaacaddcbbccbbccccdbdaccbabbdbddcbbdd
+ccbdabccadbdbacbabbdccbdcaabaddbbcabdbdcdaaacdbbdbaccdbbcdcdd
+ddcddddabcadabbbcadbacabcc
+abbadabcaaccdaaaaccccccccbdcbcbabaddbdbbbaa
+cdcadcdccdabc
+baaacdddaadbbdadaddaaabadabcabcaaaaadbaacdcdccdbcacbddcbadcccddabdddacdadacdbbcdbccadcdaca
+cacdaccbddddbddbcbcdacabcacabdbaddccacbbdcdbdcbcdcacddbdbbddcdddcaccdcddccdbadbcbaccddaacbcbddacb
+bbbdacaadddcabddbbabbdccdcbacacdabaadbcbcabddaabbbaacaabcccdacadcbccabacaaddaaaaddddabbbcbddbddcbcdcccbbb
+aabaccadabdad
+cabcadccbcaacddcbacbdbabcabaaddbbbbbaabdcccddaacaadbdaabbdaacdbdbbccdbccbaccbdccbdaddbcddaaccacdbbabddab
+dadbbcddabdcbddbcdabcdbcdbdacabddbadabdb
+adadadcdccbb
+bdbbbbaabdcdc
+ddcacadabdcabda
+dddbcaddcdadbaadcbdccbabdabcbaccbcdcdaccbdcbadadbacbcbdbcabbcbdbcaacadaaccbabcdbbddcaccccbd
+ccadcbdabbabaaaabdbcadcdbcddacbdbdccdd
+bdccbddccddadbbdbdaaaadbbddbdb
+adaabdacacd
+dadcbcbbacbadccaabcdcacbcddbacdda
+dbcaddcaccaccadbdbcbdadcdbbbadcbddcbadabccbaabccbbdddddbababadbcdccadacb
+cdbbbccdabcaaadbacdddbadcbcdaacdbaacbbddcbccdbcbcccdaaadbaadcbbddadbbdadacaccaacdddda
+aadacaaaacdcbaadcbccabbacccaaddcbdaabdacbdccaacadaccbbcaacddccacddddcb
+abdcbdccdabbbdbbcacbdbdaabdaadcddcdcbaddcdbadaaddacbbcabacccddaaaa
+bdababcbaaacdbaadbaacdabdadbbb
+bbddaadbbbbdacdcacbcddbcadaadacdacdacdbdbadcbdbbdddbbbacabacacbddddcdbbdcdddccadcdadcbdbbaababbda
+dbbdadacbacbabbccbcbcbaadddcacbabdcddacddcab
+ccaacccbcacccaacacddddabddbadccbbcabccbccbdcbdcbcdabddbcbaacdadadcbabbaadaccbbaabddd
+cacddcabacccdaaccccccdcabbbbbbdaacdbdddbacddcaadaacc
+ccbbcdcabcadbabdbdbcddcbacdbddbdaadbbdcbbacacdaddabcadd
+cdcccbabadcbcbddddbcacdcdccdaadbabbbccacaacbcacbcadaacacabbaabbbaddbacbcbadbabddcbbacdadcdcdacdabdcaccb
+dcccbabbccadbbddcbcccaccdcaadacaacdcdacdcaaabcddcaadcbadbdaaccabbcbadcdddcdadbbcabddababaccbdbbabdccadbdda
+caccaccdcdcabcbdcbdaacacbcaad
+dccdcdacabddbdbdbabcdacaccaadcadcaddcbcbdadbbaadbddbbbaddddacaad
+abbdddaadcbcbcbbcaadddcbaad
+ccaacddbcdddaadddbbdddcbbbccb
+acabacdaaddcadddadcacbbaddcaddccaccdcacaacadcacdcd
+71 60
+bcdbcdcbadcbbdbaadadcacdbdcddaabdabadcabccbacadaccbdcccdacdbadccdaadadabacdcdcddbccccbcdcdddbdbbd
+bddadbddbccdbddabbbcacababbadbcbcaca
+abdcdabbadacbcadbc
+ccdabdbabdcabdbdabbbacbaabbbbdbccdcbdbaccdcaabdbaddcbbaccacacaacdccddbccbccabbdbc
+cbcddaccdbdddd
+bccbddabccccdbbddbdaccbdbccabdcdacbacadccdbccdaccbbddcddddcbabdcddcbcbbdbd
+cdccbccacbccbaababbaadadcbbddcadddabacaadbcccaccdadaaabaabddccadbcbadbdcdbbadbbcabdaacadbcbdbccacc
+acbcbbadcbacaccdcccbbbdddaddbcacbcbbcbacccaacca
+acdbbdaadcccccccbccdaacdcabcaccddbbccbbdcdccdacdddacbabdbdaadbcdbadabaaabcdaaddcccbbcacdabdcac
+bbbcbccccdbaddbcddabccabddbbdbcbaadbccbaccaabaadbaaabcdbdcbdcabbdabaccbddcdaaadabbadcbabaddbaddcdadbcbd
+dcccbdbcbcbbdadacbbbbbcbbbcacbaaaccadacda
+dbacacbbcad
+baabadabaaaaaaabbdaaabdbccdbdadacdbbadcdcdddccaddddaabbadbbacdadabcadcb
+dcbcdabbbdcdaacdcdbcacaabdcacaddcabcbdbb
+abaaaaaadbbbcdabdb
+bdccdbadddcdcccadabbbdbdbbbabaabacbcababcddddbbaaccbdc
+dacaaabada
+acaaabcbbbcdcbbadabbdaadadcdbdcbcaabcdbcbcdbbacbaaccadcbbbdacbaddbbbbdbcaddadcacadccdca
+cdcbacccbdbdbbbbacabcabddbbccddccbaaaaaddbdaccdbabcbcbbccbbbaacabbadcacdaccabdcba
+abbdccbbbddddabadbdbbdadcdddaadda
+abcccadaadbccacdcacabadcaddbcccccbcb
+acddcaabddcdabcbcccdddbabddbbbcbbaadabdababbaaaabdaccc
+baabcacabdadcddadabdabddddbddbdaaadcdacbabdacddacbdacaccabcaadccacdddbabdcdbaddbbcbbccccdbbbdddadcadabbbadcac
+adbababacbabaccaabcadbbcbdbccbcbcdcbcdabbdadbbacd
+bbacdcbddcdcccccdcbcacdddcccdacbbbaaabcddaaaccdbbcccbdbddbcbbdcaabbcaacacdbbabcacbbbdcbdbcbcda
+bcabdbbbbbadccccaccabcbadbabbccabaabadacbaaccdbccdbcaabddccddcddcaddbacdcbadaacddb
+dcbacdbaddacdaabadcddacaaaacaaaccddbdbbbbbacdccdbbadcddacccbdbabaaacdaacbdbbaacbdbacaacad
+cabccdbcbadccbdbbcbabdabaabdcdabdacddbaadadbaaadcccddaaddadcacbbcaccacbadc
+bbccbddcdbdccbbcabdadcabdbabdaccdccaaaddbdddbabdbaad
+abdcccbaacbcdaccacbacdcdabddcaacacdcbbacaabcccadcdabbbccdacddbabaabdbadddaaacbaca
+abcdcbdcbccbcaaabcdbbbbabcccb
+daddabcaabbcbcbdbcccbbdbddbbcdaaaccdbcbbaacaaaabbcabcdbdcadaddbacdbdcccccbbaabcdccdbca
+bcbdbbccacbbcaccaddddccbbcabbbaaccccbccaabbbcbacddaabadaacaddbcdabcd
+bababaaacbccdaccbdcaacbcdacabdcacdbaddadcaddccdddcacdddcdbadbbacabcdddaacccbacbabacdacaacabdbdbcdbccdcbdad
+dbabccbbdbcdccacdadcdbbbbddaadccbacdaacccc
+daacbcddbbdcadddaaaddbcbdadacddbddaaccbcabbabdaadacaaddacccbcccddaacbdbdaacbaba
+cbddabadaacdddaaccdabbabcdccbdaddbcdabcaaaacbcdbadcadbadadbcadabcdcbcccdbaaaacbddd
+dbcbdcddbddbadccababacbbdbaccabbdbdacad
+babaaddccdccacacaabccaaddcbdcdbbadbccccbbccdaaaadbaaadadbaccaaaabccbdbaabbdacdcbccbdacabbbdd
+cbdaadaaabbcaccddabbdcdcbaadababdcaadccbbbadccaddbbaacaaabbddccdabcdcbccdbadacbabdbccaadcbbaacabaadbdbadda
+dbaaadddadcdcaccbcdbdababccadadc
+cbdbaabaabb
+daadacbcaccbabdaabcbcddcdcbbbbbddccaaaacaccdcaaacaccdbbaddcbdcaccbacccbbacbccbdddcdaacdcbdabacbbcddbda
+bcabcbccdcadbbabcddbaacdadcacdcdadbbbbdbaabdbccacbbdaccdcbbdca
+acdcbaabcabaddcbbcbaaacbbdacccacdccadccccadbabaddcacabdbccacacdcaabca
+cddadaabad
+adcbbcdaadabbbaadcbcbbbdbcbdabadacaaabcaaadbdacdddccdbcaccdcdbccb
+aaccacddaccaddcddbddddaabcbcbaccabacaadcbbcdbaaabddbb
+abcaaadccbccccdbabccbacbbbdabaaaadaccabcacaabcbbbddbdd
+dcacacaccbccbaacbacdcddaddbccbadacaaaaacbcdcdcacbbcadadaabaabbdcadadbcdcaad
+bbaddcdccdabcdbdbcdcaaacdbdddbcbaabcdbabbddbaabacaabcccbdaccbbccdcadbbbcdbbbcd
+bcccbdaadcdbbadddbbabbdcccaddccaabcdbbdacbcbcccaacbdaccccaacdacbcdbddacbdbad
+baadbdcccdbaaabdcbdbabbcbdddaccbbdbadaaadcdcbcaadccbaabcabccbbcccdbcbdcdbcbdbaca
+abaddadadaddcdbbbddcbaddaaacbaabbcdbbdbdacacbbbabbddbabcddccabccbadcccdccdbaadcd
+daaaddabcabdacbcaddcc
+dcbbdbbdcdcadabaaaddbbbcaaacdccbbaaacdbccccbcbbbdbcabba
+cbccadbccdbdbbbcbcddccdbddcaacdabdbdbdcccabadcbac
+aaaacbbbbaddba
+ddcbabccadababbcccddcddcdabadacdccddcaacdabb
+addacabdacadaadcacdddddcbacadbacddcdbbabbbbabac
+babbbadbaccabcadbdacdcaaadbcadccbbddaacbadbdadaddabcdbaabdabbaacdbcbbacbaddbccadbb
+cdabdcabccdcbcbbabccbbdbdacddcddbcdaaadcaadacabaababadbabaccccddbbdcdadccabddabadabbacccabbcdbabdbcdbbc
+dbdacbbcccdbccaacdcaaaddabddcbcddbcdaacbaadbccabdcbabcacaabbdcbaac
+bacccbdadcacdadbddbdcbdccbcacaabbabcbca
+ddddbbdcbbacbcaadbdbdccddcddddcadadcbcbcdbdaacababddbba
+ccbcdaadabdbdadadddcbabaadcdbabccaddcabcaaadacaddc
+dcabbcbcdbddbdcdddbddbabaacdbcddabccdcababaccacbabadbddacdbababbacbcacabcccaaabbabca
+ccababacaabca
+cccbdacddcdcddcb
+bdaccccddbbc
+cdacdbcbdcbbcbcddddacdabdccadccbabddcdaaaddcbbaccdbcdddcccbadcaaccdbd
+69 32
+bccbaacbbdbbbcdddaacacadbddbbbbccaabdcaaaacabbdacbccdbadbaaca
+bdabcaccbddccbcbdaccdcbbacddcd
+bcacabbcdbcabcdddcadbabcdcccdcbbdabadaaccaaddbdcbbaccadcccbacccddacacdbccbcaadbabbadccdcbdabaadcdaacabb
+acbbabcddadaadcbacabbaabddbbbaa
+cbcddbcbdccbabccbbaaaccaccdbdccaabdcadbcccadababddcbacb
+acacbabbaddbbaabccacaccddaabcadacddbbdcddcdcbdbcacbba
+cbbabaababdcadabcacdadaacaadbaaddacbbdcaaabbccababcdbaadbbdccbccbab
+cacbdadcabbbbcdabccbcdaaadaacabdbbcaddbaaadadbabadabadbbcbcbabaacaabbbdacbdbacaaacdbcbdddacdbab
+bdcddcbadcabbaadcadabbbbbdabababdcbdccabbbdcacbccdaacbabacdcbbdcdabccdccdabcbbaabdadadcbadbb
+dbccbdbacaabbcaccbccddddddbccaabbdccbbaaddddadcccaabdbaaaabbabbadcacaadadacbaddbcabca
+ddbddcdbccbdaabcaaabbbadcbababdacbdccddbbbaccbbbcdcbcccbbdacbdbaabcaaacdccbcb
+acccbdbcbadccbbdaccccadaabbaacddcdd
+acadccaccddbdbbcaccababdbdaadccbdbccddccbbccdbbdbacdcbdccbdbddddddbccbbbcdbddadbbdcada
+cbaccadbacdaccddbbcdacabbccdbccaacad
+adacaddcddadcabcadbddacadcaadaddddc
+daccbdcdcbccabbbaccaabdcdcdaccbddbdcc
+bddcbaabdacbcdbbbcacddcacccdbcdda
+bbbaacaccbbdababacdddaabaaacdadd
+ccdbcdbadbdaacdadacadaaddbcddadddabadcacdccabcdbabcddbddbbadbbdabdbcbbabadadbdbdc
+cbadabdbababcbccbddababbcababbccabcccaacbbabbdcbabbacaddabbbabdabcdbdcdcac
+bacabaadcdcadccddddad
+bbdbcbabbdbdcaadccdbacacdacabbbcbbbddddbdbcacbcadbdbadadbabbddcdcaaabadacccdacabcbdcddcdb
+dcaacdcbabdbdcbcbdabcbcddccbaadcbdbadabacbacbacaadcdbcbacdbacbddbcdadcdccbbdaaaacaacaddcdb
+dbbdbbbbdbdbbcacadddddbddcbbdabcbcbacbcdcdddcacbdcabdbb
+bcbbcdbccadcdbabadcadabaaddccdcbcbdcbbdda
+dcadbbdcbdcaddcdaddccdbdbbdcdbbacbdddcdaddc
+acbdbaccadaabbbcaaccbaabbacadcaadddddcbdccddccaacdcdbbbdbcdcddcabddddaaabad
+accddabddccdbaa
+ddbbdbccadabbbdaabaacbddcc
+aadaadaccbcabcddcadaaacacdcbcccdcbddbcdaccad
+aacbbbbcdcdabdddccdab
+ccccadcdbbdbcdcdcbaaccadadddbdacbbcbbbabcbbacdcdaccbacadbabdaddddbbba
+dcbbabbabadcbdcabcbadabdbbabbdabadabcdbbcdadddabaadbacbb
+cabcbcaaadbddcadabbbdaaababdcabdcadadccdcaddddaacacdaabbdaddcbdcaacddcdbddcabca
+dcaddcadadaa
+adabacbaabbbdacbbadcbaddaacbabddcaaacdcbacdadcbdccbddbbdd
+dbabccaaabcbcdddbacbbbbaababdcdcdcadcbcabddcbcacdbababdadbadacadcdcdcdcaacaacdaddabddcabacdcdcc
+abdbbbbdbadacabdcccacbacdaabddcdccaacbaacdaccacadbdabadcccddcbccadadbcdccd
+cdbcabbbbdaabbcabbbaddbdddcdcdaacdadbcdbccbbcaaccbdbcbaacbacbbdd
+ddccdadaaddbcdcadddbabdcacdcacbadbcdbddcaabbabdddbbaaacbbdbcda
+bbdcccddcbabbbcacaaaadddcbcadccbbadbacddcbcabccbbbcbd
+ccdbccdcdbdbbcbcdbadbadccabcababcddbaadbcaaabda
+addbbaacaabdabdacabbbccbbbbdcabbbddbbbbabbbacdaaaaadbcaacbddadbadacaccbbbacbcaddabbaacbdaaaaacaaccdbcddab
+bbcabccdcddbbdaaabcbdddccdcdbccdcacdbcdcabddcccdddadcba
+ddcbacacbdbaabbbcdbcbaddbbcdbdcdddddcdabcbadacdcba
+ccddccbacabdaacbbbcaddbdadbcabdcbccacabbbaacbbdacbaabbbacacbbcbbbdbddcadbccbdbbdcaabccdbdcabacabcbdbcab
+bdaaacaabbdaabdbdbdacbdcbaabbdbbdcadcddddcbbcdbabdadccbdbdbccbcbcccbdaabcaccdaddbdacaaab
+bbdbadaabdbabcbcdaaadbdaddbbbaadddddcadbcbabbadacbcbbbccacdbccbddbcaadbcdbd
+dbdaadccbabccbb
+cbaabcdabdbaabaaacacddbdcdbbabcaddbdacaacb
+cdbcbdbacddaacadbacdbddacddbaaabbcabcdadaddcbbdccacbdcdcdcccbdc
+cdcaaaacdadcbbbcaaababdbdcbcaabbbcdccbbaddbddadadddcaaacacdbcbacacbaccdaacbdaadbbbdcdbcb
+dbabcadbcbbbaacbcbabccacbbbdabacaad
+bacdcacacacacbdbaa
+abdbdcdadddddbccd
+cadcbaabaaababdbbbadbbcccddacacbcaccbcdadbddaccdadadabcadbaaadccacaccadaadbbb
+cbdddcbcbabacdbdcacddcbdaaadba
+baadcccaaaddbaccccadcbdaadcdccadaabbacacdacadabbccaabcabdaaaddcbdbdda
+bdadaacabbdbaadacb
+dbbcbacbdbccbbdcbbbabbcbdbddaaabdcabbcbc
+ccdccdcabacbdadccdcbcdcadccbbbbdbcaabdcdbdbddbcddaacccdddbcd
+babdaaaabbddd
+caadacadccadbabdbaabdcbaab
+cccbbadbcdacabaaabbcbadadbbbbadccbbdbdbabdabacdbadadacdcabaddcaba
+ccabbdcbdbbccbcaacbbbdbbbdacadbbbdcaddcbcbdccdadbacabdaadcacaabacaacdcdcdcabcaaadaabaaacbdbcabcda
+abccabbbbc
+ccdbadbdabbbbadcdadcbcddbbcaabacbdaabacccdbdadbdaccdcabbadaabbccccaaabdccabbdddbaaddacbdacdadaacda
+ddaabdcadcdaddabbddddbbbadadbabdccdbdbdddacadadccbdcdbddcdbdabcbcdbddbdbbabbcdacdabbbabdbacdccccbaaabccadd
+bacdbbbbbdddadabaddadcabcbbdbbbbcccaabaacaaadbddadadccaadcabbdacccdccbbbccabdccbcbbaad
+213 1
+baaababaabbabbabbbaaabbabaaabbaaaaaabbaabbaababababbaabbaaaaabbaaabbbabbbabbabbaab
+abbbabaaaaabbaaabbaaaaabbababbaaaaaababbbbaaabaaabaaaabbabbaaabaaaaaabbabbbababaaabbbaaaabaaaabbabbaabb
+abbbbaaaaabbaaaabaabaaabbbabbbabbbaabbbababaababaababbaababbaaabaababbbbbaabaabbbbbbabababaaaabaabbbba
+bbbababbaaaabbbabbabbbabbaabababbbbabbabbaabbbabbbbbbaaaaabbbaaaabaababbaaaaab
+abaaabbabbabbaaabaabaaaaaabbbaaabababbabaaaaaabbabbaabaabaabbaaabbababaababababa
+abaaaaabbaaaabbbbaabbaaabbbabbabaabbaaabbaabaaaaabbabbaab
+babbababaabbaabbbabbbbabbbbaaaabbabbbaaabaabbbbbbbbabaabbbbabbbbaaabbbaba
+bbabbbaaababaabababababbbabbbbbbababababbbabaaababbabaaaaaaaababbbbbabaabbaaaaaaaababbabbabab
+bbbaabbababbbbbaabbbabbbabbabaabab
+abaaababaaabbaabbabbb
+abbbaaaabbbbbbbbbbabbaaabbbaaaababbbaabbbababaaabaababbaabaaaaabab
+bbbaababbaaaabbbaaababababaaaaaaabababbababbbaba
+bbbbbaaabaaaababababbabbaaabbbababbbaaabbbaaababbabbbabbbbabbabaaababbaabbabaaabb
+abababbabaabaabaabaaaababbaabbabbbabaabbbaabbaaaaaabbaaabbbaaaabaabbbbabaaaaaaabbbaaaabbb
+abbbabbaaabababbbaa
+babbbabbbbababaabaabbaaabababaababaaababaabbaabbbababaaabaabbbababbabb
+aababaabbabaababbbbbababbabbaaaaabbaaaaabbbbaabbabbaaababbaababbbbbb
+babbabbbbbbbaabaabbbbabaaabaabbabbaabbbbbbaabaabbbbbbabbbbabbabb
+bbabaaabbabababbbbaaaaaa
+abbbbbbbabbbbbabbabbbaaabbaba
+aabbabbaabaabaabbbbbabababbaaabaabbbbabbaaabbaabaaaaabbaaaaabaaaaa
+aabbbaabbaaabbbbbaabbabbaabababbababbbbaaabbbabababaaaab
+aaabaaaaaabbabaaaabaabbbbbaaaabbbb
+ababbbbaabbbbbbbbbbbbbaababaaaabbabbbabbbbaaaababbaabbaabbbaaaabaaabbbabbbaaaabbbabbbabbaab
+abaabababbbabaabaaabbbbbbabaaaabbbbabbbaaaabababbaabbbbaaaa
+abbaabaabaaababaabbbaabaaaaabb
+bbaaababbbaaaabaaabaaba
+bbbbabbbbbbbaaabaabbabbbababababbabaaabaabbbabaabbaabaaababbbbbabaabbbbabaaaaabbaabaabaaababbaabaa
+bbabbbaaabbbaabbbaabbaaaabaaababababbabbaababbaabaabaabaabbabbbaaabaabbbbbaaaabb
+ababababbaaababbaabaabababababbaabbaabbbaabaabbbbbbbabaaaaabbbbabaabbabaabbbabaabaaaababbababbbbaaaaaabbaa
+babbaaaabbaabaaabbbbbaaaaaabbaabbaababaaaaabbababbaabbababbabbbaabbbaababbabbabaabbaaabbbba
+baabaababbbbabbaaabaaabaaaaabaaaaaabbbabbbaaaabaaabaaaaaaababbbaabbbaabbbbbaabbaaaaabaaabbbbaabbabaabb
+bbbbbabbbaaaaabaabbaabbbaaaaabaaabbababbbbabababbabbabbaaabaaaaabbbbabbaabaaaabbababaabbabaabbaaaba
+baaaabaaababaaabababbabbaabbabbbaaaabbbbbababbbbbbbaaaaaaabaabaababaaaaababb
+abaaaaaabbbbba
+abaabbbbaababbbaabaaaababbaaaaabbbabb
+babbbabaaabbbbbaababbabbbabaa
+aabbabbbbaaaaaabbaaabaabbabbaaaaababaaabbbbabaaaababbaababbabbaaaabaaaaababbbaababbbbabbababababbbb
+babbababaababaaaabaabaaaaabababbaabbbbaaabbabaaababaabbbbbbbbabbbbabbbbbbbbaa
+abaaaabbabbbaaaabaaabbbabaaabbbabaaabbbbaabbbbbbbaaabbbaabbbbbbaaaaaaabaaabbbbbbababbbba
+bababbaaaababbbbaababbabbbbbbbababbbaaabbaaababbbbbbbaabbbabbabbbab
+bbbaabbabbbaabababaaaababbababbabbbaaaababbabbbb
+aaaabbbbbbabbbabbabaaaabbababaaaaabbbabbbbaaabaabbabaaabaaaab
+aaabbaaaaaaabbabbaababbbaabaaaabab
+aabaabbaaaaaaaa
+bbbbbbbabbbaaabababbaaaabbbabbababbaabbbabbbaaabaaaaaababbababbababbaabbbabbababbbbbabaabbaaabaaaabaababbba
+bbababaaaaabaabbababbabab
+abaabbaaaaaabbbbbababaabbaaaaaaabaabbbab
+baabaababbbbbbabbaaaabbaa
+aabbbbaaaaaabbbbbbabaaabbabbabbaabaabaaabbaa
+baaabbabbaaaabaaabbbbabbaabbbbabbabbbbaababbbabbabbaabbbaabbabbbabbaabaaababbbaaababaabbbbaabbbbabaa
+bbbbaabbbbababaaababaaaaaabbabbaaabbaabbabababaaaabaaababaaaaaabbbb
+aaabaaabbabaaaabaaaaaaaaaabbbabaaaabababbab
+abbbbaaaaabaabbbbababaaabaabab
+bbbabaaaabbababaababbaaa
+abbaabaaaabbbbbabba
+bbababbabaaabaaabaabbababaaaabbaabaabbaaabaabbbab
+bbbaaaaaaaaaababbbbabbabbaababaaaaabababbbabbabbb
+bbaababaaababbabbbaabbbbbbbabaaaaababbbabbbabbabababbb
+baaabbbbbaabbabaa
+babbaabaaaaababbbbbaaabbbbbabababb
+aabbbbbbbaabaababbbbbbbabbabbbbaabbbaabaabaabaaaaaabaabbbbbbbbaabbabaababab
+aaabbbaabababbaaaaabaabbaaaaaaabbabaabaabaaababaaaaabababaabaabbaabaaabaaaba
+baaabaaabbababbbaaaababbaabababbbaaabbaabbabbaaabbaababab
+abababaaaaaaabbba
+babbababbbbbaaaa
+aabbabbaaababbbbaa
+aabbbababbbabbaaaabbabaaaaaababbaaaababaabbbabaaaaabbaabaababbbbaaaabaaabbbaaaabbbbbabaaaaabbbabbabababba
+abbabbbbaaaaababaaaaaabbbbaabaaabbaabbbbabbaaaababbbbaab
+bbbbbbbabbababaabaaabbbbbabbbaabbaababbaaabbbbaaaaaabbaabaaabbaabbaaaabbbb
+babbabbaaba
+abbabbabbaabababbaabbabbbbabbbababaabbbbabbabaabababbbabbaaabb
+aaaaabbbaabaaababaaaaaababaabaaabbbaaabbaaabababbaaaabaaabbbabbbbaabaabaaaaababbbababaabaabaabbbabbbabbbbbabb
+abaabaabbabbbabbbababbaaaaabbbbbaaaababbbabbabaaaaaabbbabaaabbb
+abaabbaaabbbbbaaaabbaaaabbabbbabbbbaabbbaaaaabaababbbababababbabbabbbabab
+bbbbbaabaababababbaababbbaabbabaababbabbaabbaabababbababababaaaaabbbababaabaab
+ababbbbbababbbbbaabababbabbabbbabbaaabaaaaabbabbabbaaaa
+bbabbaabbbbabbababaaaabbabbaabaabbbaabaabaabbbbbab
+abbabaaababbbbbabaabbbaaabbbabaabbbaaabbbbbbbbaaabaaaabbabbababaaabbbabaabaaabbbaabbababbaabbbbabababbbbbb
+bbbbaabbabbaabbbababbaabbbba
+abaabbbbabbbbaabbaabaababaabaaaaaababababaaababbaabaaabbbbabbabababbbabab
+bbbaaaaababbbabaaaaabab
+aaaabaabbaaabbaabbaaaaabaaabbbababbbbabbaabaabbbbabbabbbbaaabbbabbb
+bbbabaababbaab
+baaabbaababbbbbaaabbbbbbaabaababaabbbabbbaabbbabaaaaaaabbbaaaabbabbbaababbbbaabaabbbbaaaababba
+baaaabbabbaababaabbaaabbbbaaba
+baaababbaababbbbbbaabbaaabbbaababaaabbabaaaabaaabababbbbaaabaabbbabbba
+baabaabbbbabaaabbababbbaababaababbbaaababbabbbaabbbbabbabbbbbbbaaaabbbaabababbabbbabbab
+aabaaabbabbbbabaaabbabbbababbabababbaabababaaaaaabbaaabaaaaabaabaaabbbab
+baaaabaabbabaabaaaaaabaaaaababaaabbbbbbbbaaaabbabbbaababaabbbb
+baabbbaababaaaabbaaaababbabaaaaabbbbbbababbbabbbbabbbbbabaabbbaaababababbaabbbabbaabbaaa
+aaabbbaabbbaaaabaaaaabababaaabaabbbaaaaaaaaaabbaaaababaaaabbabaaababbaabbbabaab
+babbaababaabbbaaaaaabbabbababbbaaaabaabbbbabaaaababbabb
+bbbbabbaabaabaaaabaaabbaaabaaabaabaaababbbbabababb
+baabaaabaabbabbaabaabbbabbabbabbaaaaaabbababaabbaaaaaaaababbaaabbbbabbbabababbaabbaaabba
+abbabbaabaaabbbaabaabbbbaaabaababbbaabbbbbaabbaaaa
+bbaaaaaaabbbbbbbababaaabbabbaaababaababaaaabaaaaabbababa
+aaabaabaaabaaabaabbabaab
+bababbbbbbabbbabaabaaabaaabbabaabababaabab
+aabbababaabaaab
+bbbabaabbababaabaabbabbbaabb
+aaaabbbbbbaaabbabaabbaabbabbabaaaabbb
+aaabaaabbbbaaaaaaabaabbaabaababbaabbbbaaaabaabaababaabbbbabaaaaabbabababbb
+bbaaaabbabaabbabaabaaabbbabaababaaabbbbbaaabbabbababbabbaaaabaabaa
+bbababbaabbabbaaabbbbabbbbbaaaaaabbbaabaabaaabababababbbb
+aabbabbbaaaaababaabaaababbaabbaaaaabbbbbbbbaabbabbbbbabbbbabaaabbaaabbabbaabaabbbbaaabbbbbaabbbabaabbbbbaaba
+aabbbbbbababbbbababbbbbabaabbbbbaaaabbaabbbbabbaabbbbabaabaab
+abbbabbbbbabbabbabbbabbaaabbba
+baaababaabbaabbbabaabbaaabbba
+aaaaaaaabaaaabbabbaababbabaaaaaaa
+baabaabababaaaaababbaabbababbaa
+bbbababaaabbbbaaaababbbbbaabbbbbbbbbabba
+bbabbabbbbbbbbbabaabbbaaaaaaaabbabbababaaaaabbaaaaababaabbbabbbbaabaabababaabbaabbababbbabbbbabababaababbaa
+aabbaabaabbabbaabbbaabbab
+baaaaaaabba
+abaababbabbababababbbbabaababbaaabababaababbabaaaabbbbbbbaaababbabbabbbababaabbaaaaaabaaababaabbaabbabbbbaaba
+bbabbbbbbbbabbbbbabbbbbaababaaaabbaaaaababaaabbabbabbbbbaababbbbbbbababbaba
+baababbaabaaaabbbbabbabbbbaababbaaaabbbabbabbaa
+abbabaaaabbabaababaabb
+bbaababbbabaabbbbabbbaaaaabaabaaaba
+bbbabbbaaa
+abbababbbbbbbaaaababbbaabbabbaaaaaabaaabbaabaababbabaaaabbbbbabababababbbaaabaababbaaabba
+aabaababaaaaaaaaababbbbabababbaaaabbbaabb
+baabaabbabababbb
+aababaaabaabbbaaabaabbaababbaababaabbababbbabaabab
+abaabbbbbbbbbaaababaabaaaaaaabbb
+ababaaaaaaaaabbbaaaaaaaaabaababbabababbaaaaaaabbabbbbbbabbabbaabbabababbaaaaaabaaabaaaa
+baaababbbabbabbbaabaaabaababbbababbabbabbaaaababbaababbbbaaabbaababbabbbbaabaabbaaabababbabbab
+bbabbababaaabaaabaabb
+bbaaaaababababbabbabaabaaaaaaabaabbbbabaabababaabbbbbbabb
+abaabbaabaabbbaabaaabbb
+baaabbbaaabababbbaaaabbbaaaaabbbaaaabaaabbaabaaaaabaaaababababaaabbaaababbbbabbabaaaaaababbaaabbbaabaaaba
+baaabbaabbaaabbabbbbaaaaaaababbababbbbababbaabbbbabbabbbbbaaabbaabbbbaaa
+bbbbbababaabbbbaaaabbbababaabbabbaabbbabbabaabbbabaaabbbbaabbaaaa
+aababbabbaaababbababbbbbaabaabbaababbabaabababbbababbbbaaababbabbaabbbbbbaababb
+abaaabbaaababbbaa
+abbbaababb
+aaaabaaaabbaabbabbbaaaaaaabbbaaaaaaaabbabbbbabababbbbaabaaaababaa
+babaabbbbaaabbabbabaababbbaaabbbbabbaabbbaabbbbbbabbabbaabbbabaaaaaaaababaaabba
+ababbbbabaaaaabbabbbabbaabbbbaabbbbabaaaabbabbbbbbabaaaaaababaaabaaaabbabbbababaaabaabaababbbbaabbbbabaabba
+aabbbbababbbabaaaabaaaaaaaababbbabbaabbbbabaabababababaabbbbaaabbbabaabbababbabbbbbbaababaabababbabaaababa
+baaaaababbabaabaabbbaabbbaaababbbabbaaabbaaababaaabbbbbbabababbbbbabaaababbabbababbabbaaaab
+bbbbabaabaabababbbbaaabbbbababbaaabaaaaabbaaaabbabbbbaaabaabbabab
+bbabbaabbbabaabababaabbabaaababbbaababababbaabbbaababaabaabaaaababbbababaaaababaabbababbaabaaaaaaaababa
+bbbbbbabbabbbbaaabbaaabbbbbabbbaababbbbaabaaaaabbab
+bbbbbaaabaaaaabaabbabbababbbaabaabbbaabb
+bbaaabababbabbababbbabbbabaaabaababbbbabaaaabbbaababbababbbabbabbbab
+babbbbbaaabbbbabbabaabababbabbbabaaabaabbaaaaababaaababbaaababbbabbbbaaaabbbbabbabaababaabbaabaabbaaaaabaabb
+bbbabbbbababaaaabbbabbbbbaaabaabbbabbaabaaaabaabbbbababbaabbaabbbaaabaabbbbbbbaaabbbaaabababaaab
+abbbaabaabababaabbaaabbaabaabbaaaabbbabababaabbabbaaaababaabaababbbbbaa
+aabbaaaabaaaaaababbb
+babbbaabbbabbaaabaabababaababbabaaabbbaaaaababbabbaaabbabbbbbbababbbbaaaaabbbbbbbbabaabaabbbbaaba
+aabaaabababaaabbbaabbbbbababbbababbbabaaaaaaaababbbabaabba
+abbabbbaabaaababaababaabaabaabbaaabaaabababbbabbabababaaaabbbbbbaabbabaaabbbaabababbaaaaabbaabbabbbaaa
+aababababaabbb
+aaaababaaaaaaaaabaababbbbabbbbbabb
+aabaaabaabbababbab
+aaababbaabbababbbbababaababbabaaaabaaaabababaababaabbb
+aabbabbbbabbbaabaaaababbbabaaabbbabbbbababaababbbaabbbaaaabbbaabbbbaaabbbabaabaaabbbbabbbabb
+bbbabbbababbaabbbbb
+abbbbaabbbabbbaababbbbbbbaaabbbbbaaabbbbabbbaababaaabbbabbabaabbababaaab
+aaabbbbaabbbbaabbbb
+abaaaaabbbabbbbab
+bbabbabaabaaabaabbbaabbbabbababbaababbbabbbaaaa
+abaaaaaabbaaaaaaabaabbbaababaa
+aaaabbbabbbabaa
+abbabababababbbaababaaaabaaabbbaababbaabaabbabbbaabbbbbbbabaaabaaaabbaabbaaabbbaaaaabab
+baabbbbbaabbaababaaabaaabaababbbbaaaabaaababbbabaaaabbabbbbbabbbbabbaaaabaababbababb
+baaaaaabbbbababbabaabaaaababbaaab
+aababaaaabbbaaababbbaaaaaababaabbbbaaabaababaabbbbbabaaaaaaaaaaaab
+bbabbbbbabababbaaaabbbbbbbbabbbbbbabbbbaabaaabbaaababaabababbaaaabbaabbabbbaabaabbabaabaabbabbbaab
+abbabaaabababbbaabbaabababbbbbbbbaabbbbbbbbaabaab
+babbaabbaaababbabbbabbba
+aaababaabbbbaaabbaabaababababbbbaaaabaaabbbbabbbaabbbbbaaaabaabababbababbaabaaa
+baaaababbabbabbbabaabbababbbbaababaababbbbaaabbaaabbaaaabababaaaaa
+abbbbbbbbbaabbbabbaaaaaabbaaaababbbbaaababaaaabbbbabaabbbbababababbbbaaaabbbbbbaaabaaabbababaaabbbbabbbabbaab
+bbbbbaaabaaabbbbabbabaaaaabaababbabbabbaabaaabaaaabbbaaaaaaaaaaabaababaaaaabbaabaababaabaaaba
+babaabbabbababaabaabbbbbabbbaaabbbbabbbbbabbbaaaabaabaaabaaaaaabbabbbaaaabbbbaabaabbababbbaaaaa
+baabbababaababaabaababaaaaabaabbabbaabbbaabbbaaabaabaababbbbab
+aaabbbaabbaaaaaabaaabbabbbbaabbbbaaabbabaabbabbabbbaa
+bbbabbabbaaaaaab
+babbbabaaaabbbaabbaabaaaabbaaaaabbababaaabaaabbbaabaaaabaabbbaaabaaa
+bbbaabbabbaabbbbabbaabababbbaabaabaaabaaa
+bbaaaababaaabbaaaaaaaababaaabababaaaaababbabbaabaaabbbbbababbababaabbabbaaaabbbaababbbbababbbbbaaabaa
+bbbabaabbaabbbbabaabbabbbaaaaaaaaabbbbabaaaaabbaaabbbbbbbbabababababaaabbbababbbbb
+babaabbabbaababaabbbbabbbbaabbaabaaaaaaaabababaabbabbbbbbbaaabaaaabaaaababaaaaabbab
+bbbbaabbaabbbbababbbbaabab
+aaababbabbbaaabaaabaabaaabbbbbabbbababababbbbabbabbbaabababababbbbaabaab
+babaabaaaabaaaabbabaaabbabbbaabbbabababaabbbaababbbbaaabbbbbbaabaabbaaaabbabbaabbbabaabbabbbbabbab
+aabbbabbaababbaabbabbbbbbbaabaaaaaabbbabaa
+aabaaaaaaaaabbbaabaaabaaababbbbbaabaaabbbbbbaabababbbaaaaabbaabbbaabbbaa
+bbbabbbabbbaaaaabbbbaababaabbbaaaaabbaababbbbbbaabbabbabababaaaaaaabababbababbbaababbbbaabbabababbba
+aabbabbaaaaababbaabaabbaababaabaaabbaaaababbabbbbbaaaababbbaababbbaaaabbbbbb
+babbababaababaabababbabaaababaaaaabababaaabaaaaaababaaabbbaabaaabababbbabbbabbabbbabbababbbbabbbabaaa
+baababaaababaabbbaaaabababaaaaabbabaabaaaaabaaaaabaabaabbabaabaabaaabbabbbbababbbb
+ababbbabbaaaaaaaababbbabaaabaabaababababbababaabbaababbaaabaaaababbabaa
+baabbaaabaabbbbbbaaababbababbbbaaaabaaaaba
+aabbababbbaababababababaaaabaaaaaabbbbbbbbaabbaaabaabaaabaabbabaaaaababaababbaaababbaaaaaaaa
+bbabbbabbaaaaabaaabbaaaaabbbaabbabbabbbbabbbbaabbabbbbbabaaaababaaabbbbbaababbbbbbabbabaaa
+aaabbaaaabbbbaabaaababbabababbaabbbaabaaaabbaaabaab
+aabbbaaabababbabaaaabbbbbbaaaaaabababbababaabbaaabbbbabbba
+bbabbbbbbabbaaabbaaabaababab
+bbbbbbbabbbbabaaaaaabbaaababbabbaaaaaaaababbbbbbbbbababbabbbbabbbaaaabbaab
+aabaaaaaabbbaaabbbaaabaababaabbaaababbbbababbaaabbabbb
+baababbbaabbbaaaaabbbaaaaabbbaaabababaabbababbbaababbbaaaabaabbabbabaaabaababaaaabbbaabbabaabb
+babbababbbabaaaaababbbaaababbbabbbbbaabaaabaaabaabbabb
+ababbbbbbbaabaaaabaabababbaaaaa
+baabbaaaabbabbbbbaabbbbaabbababaaaabaabbaabaaabaaaaabbabbaaaaabaaababbbabbbbbbbbabaaaaaabbabaaaababababaaab
+aabbbbabbaababbaabbbaaababbbabaaaaaaaaaaaababababbaababbabaa
+babaabaabbbbbbabaaabbbaaaaaabbaabaaaabbaaaabbbababbbbbbabbaaaaabbaaabababbbabaabbaaab
+aabbbbabbaabaabbabbaabbbbbaaabbaabbabbaabaa
+bbbbaabaabbbbbbabbaaabbabaaaabbabaaabbabaabbbaabbbbbaaaaabbbbaabaabbbbbbbaaaaaabbaababbbabbbababbb
+abbaabbaba
+190 57
+acaaaaccbacbbabacbbacaaccacbabccaabbcbccbcabbcbbacbbbacabcbaaaaacbccaaabaaabbcbaacccbbbb
+cccbacbbbcaacabcbbbbcacac
+cacabaababcccbabcaabcbabbabacbcaabacacbccab
+bccbbcabbabbabbcbacaabbbbacaababacccbccbacbbaabbbcbbbaaabaccaacbabbaaaacbbbbaccacaabcccacbbcbabbacb
+cbabbbbbccabacaabaaacabaabcccbabbaaabcbacbbbaacacaccbbccacacbaacbbaccccbc
+bcacbcbbccacbbabcaabbacbcccabaaccccababccaccbaaabbbbacccaabacaaabaaacbbacbcbabaaaccbabacababcabbcbbbaca
+cbacccacbaabacbbcbaccbbbabbbaaacccbccacccba
+abbbccabcbaccbaaacccabbaccaaabbcbccccaaabaccbabbcbababbbaaa
+bcbacbabbbaabaa
+accbbabcbaabccacbaccabcbbabbba
+bcbcbabbbcacabbbabbccbccabcbabcacaabbabbacbaccabab
+caacbccbabbaccbacccacaabaccbcbcccbcccaacbccbacbaacabbccaababaccbc
+bbbbacccbcbbacaacaacabbaacbcccaaabcaabacaaccccccacbbbbcbbbbbcbacabcacbbbcbcbaaaaacacccca
+cbbbcbabaacbccbcbcbccabcbcacbbaabcabaaaaccbbcacabccbbacbababbbbbaccba
+acacaaabbbacb
+ccaacababaabacaabcbababaabccccbacbaccbbabccbababcbcbaabbaaccaacccbcabaaaaacbaacbcabcc
+bbacabcabbcaaabccbcbcbaaccbcbbabbcabaaac
+bcacabbabcaacaabcaabbabacbbccbaccbabcbccbccc
+cacababbbcbabcbbccabbcacababbcccabbbbbbccacbcbabacbbabbbbbcbbbacababbccabaaaaacccbbaabbcbbbaaccbabbbb
+cbcbbaccbccbababccbcbbababccabaa
+bacbcababaacbaaacabcacbacacccaaccacbcaccacabbcaccaacaabcbacab
+cabbccbcbbbcbbaaccbbcbaabacbcaabaccbbcbcbcabbaabbbbaccabacbaabbababbcabaaacacbabcccacaacbbacbabc
+cbcacaabacbcaacaaacbcbcaaacacccaacabcbbaabcbabbacbbaaaabbaaaababcbbcaabaabacccaabcccacbacbaa
+cbcabcacbcbbaabcabbabbabaababaaabbcbaabbabacbbaaacbbbcbbbcaabcaacababbcabbaacaaaacbbcccbacaaabbcbbc
+ababababaabbbacbccabcaacccaccbcaaaaccccaacbbbbacbbabbbcbaaabbacccbbbccbaaabbccabaab
+accabcbabaabbaaababcaccbcbccbbbbccabbabcbaccabcbcbcabbbcbcbaabbbcacabbbbaab
+abcbbbabbcbbacacacacacbabacbcbaccbbbbbbcc
+aaacbbbabcabcaaccababcbcbababbcbacaaccbbcbacabacaccbabbbaaacccabcbacacacacbbbcbb
+aaaacbbbcaccbbbaabccbccacaabbbbccccbcccbaccaacbbcaabcbcbaabccccb
+aababcabcabc
+bbcbabababbccbababacabbacabbcbbcbbbbbcabcbcbaaabbbacabcbcabcbabbcacaccbccabcbbcbbbbbbcb
+aaacbaccbcbbcaabcbbcacbcbbccabcbbcacccccaabccaaaabcbcbcbaccaacaaba
+ccbcabbbabcbcaccacbabbbbbaaabaabaaaaabacaacacbbaccbabcccabcaacaabaacacaac
+bcccbcccacbaabcbbbccbaaababbabcaabcabaaacbbaccbbacbccbccbabccccaccbabca
+cbbaaaaacaacabbccacbcbaccbabcaccaaacaabccaabbccabbbaabbacabccaabaabbbbcabbaacccabbbbbbcaab
+ccccbbcbaaacbacababacbaccaccbbcaacbabbacbabbcaaaaccbaaccbccbbbbccccccaccabbbab
+bcbaccccbcacabaacbcaacccacbbbabbaacbbaaaaabbcabcbbaccaabaababcbcbbacabcbcbcaacccbaacbabcbabbcacaba
+bbabaaaaaccccabccbccacccabbaaabacac
+babbbbbbbacabcbabccaacabbbcaccccabbbbbccccababcabcacaacbbcabcabbabbaaccac
+cbbccabcbbbacbbacabcbcaccbaabbcabcbaccabbbcbacaccbaabcbcbbcccccccaccacaa
+caabaabcccbbcbbcccabcaabbbcababbbaccaaaaaa
+abbbbcbcbccbb
+caacaabcbbcaaababcbccbbccbabaacccbaabccbababbaccabcccabbaabbbabc
+abbcaccbacbcbaccccbbcccabccbabaccbbbaccacaabcccabcacaccbacbaccabaaab
+cbbbcabcbaabccbacac
+abaaccccabcbaccaababcbbcabbaccaccbcbbacbaacabcaabaabcaccbbccbbcabccbccccccabcca
+aaabbbaabcbbbaaaacbccaab
+cbbcaaaababaccbacabbbcbababcbbcbbaaabbacacbcccbcabcacccaabbabbbabbabccbabcbbcabbaacbcbcacacacacbaacbacc
+bbaabcacccaacabbacacabbbccaacbabcabababcaabcaaabbcccbaabaac
+cbaacbbabcbbccbaccacbabbabaaccbcbcbc
+acaccabcbaaaaabbabacbcaaaccaccbbaaaaacccacabaaccbabcbaacbacabaaababbcaacccccca
+cbabbcbbaaacbcbaacbacbaabaacaabcbcbaacbbaccaaabcbacacbcbbacaacaacaacab
+caacbcaacaaaaacaccbacaccbababacaaacbacbbcbbcbababcbcbb
+cccbacabbcbacabbbcbccbabbbcccccacaccbbabcacabacccacbbacccabbbcbba
+babaacaaccbccaaaacbabbaacbaccabacabbcabcaaabbbaacbaabcaabc
+baaccabbaccacbcbbbbccbcbbabc
+bbcccbcbcbccbcaccacbbaacbbbcccbacaaabbaaabbcaacccc
+aacbacbabbbbcccbccaaabcacaaabbbbaacacabaaacaabbba
+bbbccabccacbcbacabbaaaaabcbcccbccacbcabbacaccbcacabcbccbbbccbccbaabcabcccccabbbbbcacccbabba
+ccbbbcbbcabab
+bbabbbacaaabbbabcccbbcbcacacbaabbcacaccababbaacbcbabbbcb
+acaabcbcccbacaacbccabbcaaaccaacaacbcbccbababbaccbcbccbbabcaacbaacbcaacbacababbbbaccabbaaa
+acccacbbaabbcbbabaabababacbaaaaaabbcabcbaaaccabaccaacacbacbacccaaaaccbabbc
+acbaabbbaabbabcabcbbbbaaacbacbcbcabbccbcabccbacbbbbaababbabcbcccbccbacacccaaa
+bbcacbacccabccccaacacaabababcaaabaabacbabccaaabcbabbacbbcaacaaccccaacbaacbcabbacacbbcaaaacccaabbabacc
+bbccccbbbbcbcccccbbbacabcaacabacbbcbcbbbba
+aaaabbcbcaacbaaacabbaccbcabbaabbcbbaaaacccbbcbacbcacbaacbcaacaacacbcccbc
+cbacbacacaacbbbcbaaaacbbacabcabcababacaaabbaabaaacbcaabcc
+bbacbcbcbbcaaaccccaaabaacccaabbccbcabacccbccbcccbbacabbcababcbbb
+cbccccbacbbabbccabcbcaaaabcaacbbccbbaacaabcbbcccbcbcbacbaaacccabacaabcabbbbcbaccacbbacbaccbbccaccbbb
+cbcbbbbbbbabaabbaabccbccaacccabaaabcbabcccaccacacbcccccaaccaccbcbcaaaccabcbcaccccababbaacacabaa
+bbaabbccbaacccbbaaabbaabbcbbcbccabbabb
+accaaccaabcacbbcacbbbac
+babbbcbbaacbacabcacbbccaccaaccabcacccccbccbccabacabbbacaabcaaccacacaaabcacaaaaccccac
+cbccbcbbbabaaabbbacbcbaacbaabacaabccacaccababbaacbacabbcccaabcbacabaacccaaccccbccbcacaaac
+bcbbacbbccbaabbaccbbacaccacbcccaacacbacababbbbacbbbcaaabbbccb
+bababcbaabbacbcbac
+bbabbbccacbaaabaaccccaacccaaabcaccbbacbccaccccccccbbacaabacaababcbcccaaacbaaaaabaacabac
+bccaacabaacababbabaababcbbcbcabccbaabaabbabaccbabcaabbaacaa
+cabbaabcbbaaabccbaccaccccbcccccaacabbbcaabaaa
+cacacbbbbbaacbcaaabbbba
+bbcbabcbcbbcbcbbcacbcbacaacbcabaaaaaccbcaaacbabacbccaabcbcbbabcbcbacbabcbabbbaaacbaabbbccaccccbbaabbbbbbb
+accaabcaaacaabbbacbccbbccaca
+bbccabcaaccacccbbcbbacabcccbaabaacbcaccbccacbcabacbaabbbaacababbcac
+aaccbbbccbbca
+acbbabccbabccbaccbbaabcbcacaccabbbbabbabbaacacaaccaabbacbbcbbcbbbcbcccbacbababacbbabaaacaccbbc
+accccaaaccbcbcacbcbcabcccbbcbacccacbbacacacbccbcaaacbbabcabccaccac
+babcacbcaabcbccccabbacacabcbacacaaccccccccaaaaabaccbcbacabcabcccbbcabbc
+aabcbccbbcaacabaababbcaabbbaaaccbcaba
+cbcbcbbcbcbccbbccacabacacaabcabcbb
+bcccbabcacbcbcababcacabaacb
+cccccaabaccbaaaaabaaaabac
+aacbcabcbcbabbcacbcbacbccabcacabccbabcabccbccbcaccacca
+acbaaaaaaccabcaccaacbaababbcaabcbca
+cabbcacccaaabbbbbaacbbabacabbccbcbccbccbacaccaaacacaabccabbabbacbabba
+cbcbcaaaaccbabcbcbbbaababccccbabccaaacbabbbbacabcbcbbbcbbaacbbaaaaacc
+acacacbaabcaacabbbcaccababccbaabbbbaaabbbcacccacbcabcacbccbcaabaccaa
+bccbccaabcbacacccaacaaabbaaaabacccbbacbababcccbbaabaaacbcbcbccbabbcaacbcaabaacacaabaabcbaccacacaaacaccab
+caaccaaacbcaaccbcabcbabcabcaccccbcabbbccbccaabbabccacccbbaaacaaccbbacccaacbcacacbacbcbaaaaccbbcbbaacbcbbacbaa
+bbcabbcaabaacacacacabbbbaabccbbcaabacaccbbabbcabababbabbbbbaabaabcabccabaacbabacbbba
+ccacccbcabacabbbbcbbcbacaacbccaaccbbcccbabbcbabaabcabbaccccaacacbcaabbbcaabaacacbacbbaaabbacbccaaaabca
+acabccccbbbbccbccbcbbaaabbaaabccbb
+bcbbbbcccbcccaaccabcaccaaaabbbaabbaa
+cabbcbbbcccaca
+cacabcccbbcabbcaababccbbaabbacccbbbbbbaabaaaaccaacacabccbcabbcabcccacbab
+abcbbbacbaccbbacbabcccbcabcabbcccbccbcccbb
+cacabcbcccabbbcccccbaccbbccabbbacbbacbacaccbccabbbcccaacccbccaccccababbbaa
+abacbaccaccaabaabbbbacacccbabbabacabbaccccbbaccccaacaccabcabaccabcbccbcbaca
+abbcaccaaccccabbccabbaaabaccacabccbabcabbbbbbcccccacacabccbcabcccbbaabacaaaabbbcccbcababbcccccabbbccbbccc
+ccbccbbabcccbabbabbbacbcbacacabcccacbcaaaaccbcacabbbbab
+aabccaacbaacbbbccb
+ccabbccbbcaaacbbbcaccacbbcccbaccabbcbbccbacabbbbbbabcabaaabcbabaacbbbbccababcbcbbcbacbcccbbb
+acccabaccccaccbacacacbbaaabbabbbcccbabaccaccbababcaababbbabcbbcbbbacbaacbccacbbabbbbbaacaacbabbbacbcabccbaacc
+caaaacbbabc
+cabaaccbaacbabb
+accaccabacbcabaccbcbbcbcccaabcbacaabccabbb
+ccaaaabbcccabbbbcbbcb
+cacabbcabcbababccccbccabaacbbaacbcabcbbccabaaaaacbacabbbcb
+ccbbcbcabbbaacbcaabccccbaaababccabaabcbcccabbabbcacabccbbaabacccbccbbbb
+aabaaaabccbcc
+ccacbaabaaabcbacbaccbbbbbbcacccbbaabbcbbabbcaccbaabcaababbcacbcabbacca
+bacccabcbcabcabaaabcbcccbaccacbaaacbbac
+cbbaabcbbabacccbbcaacaccacccbabcccaaacccccaaaabbcbaacabcabbabaacbcbcbbbbbaaabcbaacbb
+bcacbaacacbabbbabcbcbacbcacbbaaaacbccbcaccbacbcabacaaccabbbbccbccabbcbcaabbcaacbbcccaabccbbcbbcabbbbbbbcaba
+caccbbbbbacbacccbbbababbbacbaaaabacacacababbcbaacbaaaacbccbaa
+baababbbbcacbcbcaacbcaaccbabbabbcc
+caccacccbcabbbcbaacccccabcbaaacacbbaaabaccaacbc
+bbccbaabaccccccaabccacccccbaabaaabbbabaacbcbaaccbbaabcabcacacccabbbbcaccccbcaccacabbcbacababbab
+abaaaabbcacbbaccbaacaaacbbaabcbccbabbbbabbcacaabcbcbabacbab
+bcabccaabccbbaabbcabbcaaccc
+acbcaaaabaccccbcacabcbba
+bacbcabcacccacbbbabccccbcbacbbbbcabacbcacbccbababbcabbbaabccbacbbabcabccacccabbcbbbacabbbbabab
+bbaaabaaabbcacbacacaacbbbbaaabcab
+bbabcaaaaccbbaaaabaaacbbcbcabccbcccaabcbacbcaaacabcaaaccaccabcbbccccccacbabaccacbbcbccccaacbacbc
+cbaabbaaacaacbccaccaacaabaabbbca
+bcabcababacaacbaccbccbccbcacaaacccacbcabbcacbacaccabcaaacaabcbbabccccbcccaabbacaa
+bcbcaacacbbcaaccaaacbbacbcca
+cacbaabbcabccccaccbccbcbbbabcaaaacbaabcbbabacbcaabccaaccbccbbaaccabcacbaca
+cbbcbcbabacbacbbccaccaabcbacac
+aaabababccaccbbc
+cacabcaccbab
+cccaacabcbacccbccaabaaabbaaacaacababaabbcccc
+abccbcccacaabcaacbccccaa
+bbacaacccbbabbcbabbbaacaabaccccabbbc
+aaaabbcbcacbbbc
+cccaacbbcbaccbaccacaabbaaaaaababaaccbcacbabbbbababa
+cbbabaabbbabaccbaaca
+abaabacaacababbbcaacaaccbcaacccbbbaaabbcaabcacbccabbcbbcccccaaaabbabccaccacccbccaaabccaaabcbbbccacacbaba
+ccbacacaacccbaccbaccbaacaaaabcaacccccacaacbbbcabacbaaabc
+caabcbabbbabaaccacbbbababcbabaaaacbcabccbbcccacbcacccaccaac
+cbbbabbbbbcccbbbcaaacbabcbbabbacbbaabacbcacabacbabaac
+abbbccbbaaaaaccbbabaaacbababaabccccbababaaccacaccaacaaacaacbaba
+bcaaaaacabaaacaacbabccabccccabbbbaca
+caabbbcbcbcbaaccacaccabac
+bbacbccbabacacbcccbaacbccbaabaacaaaa
+baaababbcaccbbacbcaacbacccabacbcbbbbcccbbbaabcabcbcaababcc
+cbbbbaabbaabcaacccabbcccccabc
+babbcaaabbcaa
+cbbcbacaaacbcaacacbaaccacacccabcbcabccbbacaccabccabaaba
+bababcbaaaaaccbbc
+acccbccbccabbccbbccbbcacababbaccabbccaaacaacccbccbaaaaacbabbcbbabbcbcbacbbabbbbcaaccaaacbccbac
+cbccbbabababb
+acbbaaabacabccabacaccccabcabbcbcabbbbcacabbacaccabbccbccacaaacaabaacaababbaacbbcbbbabcaaaaabcc
+caccccbbababcbaabcaaccbabbcbcbabaabbcbcaccbabaaccbcaacbbbaacbaccacbacccbabababaaababacacbac
+bcbbccbcbababcbccbbcabbacccabacabcbaabcabaabababaaaabbaaababcacaabacccbbb
+cbaabccaabbcbbacacacacbbbcaabbaccacccbccababcacaaabcacaababbcbbbacacbacabcbaccacccababbacbccbabbbbbbbcab
+acbbaccacbcabbccabaaacbabbbabbaaaaacbaccbbcccabaccabcbacac
+acabbcacaabcccbcbacccacabccbcccbbabbbbccc
+aabbcabbabbccbbacbbcbcbbabcccabcaaabbaaabcbccbab
+aabccaaacbcbacacbaabbbcbcbb
+cabbbaabacccacbbaacccbabcbbbbabcabbb
+cbbccaacbcbbcbacabbaabbabacacabbabbbbcbbacccacccaacacbabbcb
+ccbaccbacacbbbccaacbacbaaaabccbacabcbbaac
+caabababcbbaaaaaacccccccaacaacbaaaccccaacacbabcbcccbcaccbabcb
+aabcbbcaaacacabcccacacaccacabaaabbaccaaabaccbccabbbbcaabccaaaccbabbbbbbbbcbbbbabcbc
+bccbaacbbbbabbbabbcaccacbacbbaababcccbbacccacbaccccbababaaacaacccaacaababcabbccacbbbcbcbbc
+acbbacbaccbaaabbabcabaabbcacbcbabaacabcaacbabbbbbbcaabcbbbaaccabacbcaccbccbcbccccaccbaaababacacbc
+babbabaaabbbbab
+bccbccccacccbababbaaaaabccaababaacbbbaabbacaabcbabbcbaacbaab
+bcaaaccababbbcababacbaccbcbbbabbacbacbacacbbabcaaababaacccbbacccbbccbbcabb
+cbcabaaacaaccacaacaacacaacabcabaccbcccbcbabaaabacbbbccccacccbabcccccbbbbbacaccaab
+aaabcbabbbacabaccabbaaabcaccaaabbbbacbccaccccaaccbbcccabbbcbaacbbbcaaaabbbaaaccacabaaacabbababbcaabbacbcaaba
+aababcbaaaabacbacbacbaaaaabaacacbaaccbaababbbbccaaaccaaccabaaccabcaacacaabbacbaacccbcaaaaaacacacbaabcccca
+bcaacacacbaabcbcccbcaaaaacbbcbababcbabccca
+cbcbaabcaacbcbcabbcbabcccacbaca
+cbaacaccacbbbacbbbcccacbccbacbcaaaccabcbbabcacbacbacacaababccbac
+babcbcaaaccbacbacaabcbbbbacccbcccbbcbbbbacacaabacaacaacacabaaccbcaaaacbacccbabb
+bccacbaabbccacacaacacccccbcaaacaaabaaabccbbccbcbbabaccbacabbabcbaabaacbabcbbcbbbcccbbabc
+abbaabbbbaabaccabbacacaccbbbcccabbacbccccbababaabccaabacacaacbaabbbbcabbababbbacbacbaccabbbaccbabcccbabac
+acbbcccccbbaaabbbcbaccabcb
+85 11
+bccabdaabaaaadcbcbddccdbacabaacc
+dcdcbdadddbadaaccacbabddbbddabccbddbdbbcdcbaadadbcdbbcaaadbccbacbbdd
+ddcabcccacdadbdbaaadcdcdaacadcadabdddcabbaaadaaddccbddbdbbcbccadabacadcdcbbcbcbbdcaacbcbacdcdddacbabac
+adabbdbdcacbadcbadad
+dbbdbccdbccdccabbcbccdca
+bdbddbdddacbcaababbabdaa
+dbcddccddabbbc
+ddadadcadcddbbccabbcddacadadbbaacccadcdacaabdaadcdccddcdaacdadbadcddddacddacbbddcbabcdacbaccdcacaad
+aaaccacbbbbddcadacbbbaccbadacacccbbdcdacbbccccdbdcbdcaaaacadcaabcbbddbcddadbbdabcaa
+bcccacbabacabdaaccdbcbddabddadbdccdcdcbacddbbbdccbccaaacbbdbbadaaccacbbbaccacbdaadca
+dbdaabababbabdddcccdcadbbddcddccdadbdcbbcbccaacabbbbaacadbadaacccddbbcadabdabdbad
+abcbdbdbcaddbddaccababcccbbaaabccdabadcbcdccaaddcdaccbacbbcadacccdcacdbddacccbadababcbaddadaddbbbbdcabd
+ccbcdabacdacdbccabcc
+dbdacdcbaacddcbaccdcbcbcbcacadbcabdcbbbcacadaaaaacbda
+baacbaddddcdbabcabccdabbcccbdbacacbabcaccccabccdcddacbcccaaadddcbcbcdcccddbcbddbbacccadabcda
+cddcddddabacbdaccaccdbbbabbdccbddaddbbddddaddccaababdadbbaadcaaacacbdcbacaddcdcddacacaabcbaabdcdcdbb
+aababcdcadcbbdccbbdbbcacabcbbddbbacdccdabccddcdacbbddddbddbaacdbabaacababccdaadccadbbdaabcbdbcacbacdccbcdc
+bcdbdbddbbadddbcccaabddcaaadcdbdbcbdaabdddabaddadacdbdbbbbcbbccbcbaacbcbaddadccbbcbbabcdcbdbdacc
+adbadcdaabccabbdcbacbbacbbbbbcdacdbadabdddaaddbadacbcbcacacdcdcabdaabacaadabdadabcdddb
+cdbcdbbdcabbbacdadddbabbaddabdcacbdccd
+bdaacdcccacbdcbbdabbca
+bcdaabbcbacbcbacaaddddadd
+cdddbbcbccbadcbabbdcabbabcbccdaaddbdbcddbbdcdacaabcdbbbccccdadbddddbbaddadccbaadcabcdaadcadccaddaabdd
+ddaacacbadbabbabda
+ddddccdabaaaccddcccbbadbbaaccddabacbccbbcadaaacdaacadabbabcdddbbabcbbdbddbaadcaabdc
+bddaacadcdbdaccbdadbabadda
+abcdccbccbcccaadbabdbcbbbdbacaacccababbcaacabacaadbcdacbbbdbdddaabcdadccbbdcdcdaababbdcbdbbcaccaada
+abaaddaadcadadaccbaccabbcacccaacdadadbacaabacdbaadccbdcdcddcbdabcccdddacbda
+dbbabacbcba
+bdacbadbcdabccaab
+adbdaabbddbbdcbdabbaadbdddcbcbccb
+cddbacaaacadbbdddbdacacccdcabdcbabcdcbdaadabaaabbadbcadcddbdcbadacbbbbbcacdacc
+dbdbaccbcdcbdccdcdcbbbbdaddbcaaaacdcccddadccbacbb
+ccacabbccbacaadabbcdbcdbddacdcdbbbacbbdaabbaaccaaddcaadacadcddbcdcbcdcdcbdaccbabdabbabaabaaadcdbdb
+bbbaacbbaaaacadcddbdbbdcbdcbbbabdbcdacaccbabbdcbaccdbabadaacdabcdccbcdcaddbaadddacd
+bcdbcccbaabdddcaddaaddbdadcdccbbddcabbbadcdbbcaadddcbba
+aaaaabaccabbaccccdcbdccadaccaccbdbbdbcddabacaccacacbbabcaadcddcaccbcdaabcddadbbdbacdcabbbcbadbbc
+cccacbcbaababcadbdcbbcdacdcbdaccbdddccabbdaacdcdacadab
+acbacabbaddaddaaddaaacabadadcacbcabcdda
+acbcdbcabdaccdbccdaddabbacccdbacbaaaddacacaacbdddcbadcaacaaaaca
+cbcddbaddcaacbddbaabbcbdadbdbaabccabababdcbbbcaaaccdda
+dbdcdbbaadccdddacddcadcaadbbccadcccdababbbbababbacadacbcd
+abddddcbacdcbcdadabadbbacbbcaaadb
+bcbaabcbcadcabcddbacaacccdbbbabbccccaadacaaccddbdaddbdabcccbdddaadcc
+bcdcdddbcdabbdcbcaababcbcbbdcdabdacdbacdbbccc
+bcccbdbbddaaaacbdabbcca
+babccaacdbbcdacabaddbdcbdccaccddcbbaacacdbddcbaaaddbaaabcccabcdaadaadbddaabdddabcababbccbadddccadaaaccabd
+dcacbcbccddabdcccabcaabbcdbacacbdacabcaaaccacbddaccd
+abcbcbdcddcaacdababdaacbabddaabcbcddabdaacddbdabbcdcaadacadddbdcbababbaadabdcccadcccaddadadaaa
+aaabbcbbbaabbbabbdacabaddbadcdadbabdaadbbbdaaabbbcbbadbc
+ccaaaadcdbdbbcbbdabcdbadbcaacaccabcbbbcbcdaacddcaccdbdcaadcbdddbcbdcbaddbbbcbcacdcc
+cbacaccddddbccadddddbdcbabdaacdbdbaaacabbbaadbacddaabcddcbdbcbaaabbccdccddabdbca
+bbabaabbababacbbdacccbacaacdbdddbbbdbaccaabcaccdccbbadccbbdcaaacbbacbbadbbdabcdaacca
+bdcbbaacdbcddcbbcbdadddabaabadcdabadbaa
+abdbaabbddadacbccbbbddbdcadadcdbcdccbbbadadccdabaadccaccccbda
+bdabacbddbbccbdbbdcabcabbdccbbacadadbdcccbcaacb
+bcaaddcaabcbccbaaddcdabda
+adbcccbbaabbcdcdaabadbaadcbbdbbcccbcaddadaddabcddabadbbcbbbdadcdbcabccabcbdcacdcbcdcccbcaabbbccdabdb
+aacacbcbcdbbdaddaaabdcadbdbdcaccadabbdbcdbbccabbabdadadd
+abccbbacdabdccaccbbacdbaacdcbbbbabc
+aaddcdababdabdccbadbdabdcabbccdccbdb
+baccdcbaccbbdaccbcdcdbdbdbbdbcaaaabcdcadbadcaabbabaddccbcadbdbcbdbdddadcddccbcccaacccbaadcdbaabcdaabbad
+cadbbccbbddbbdcbdcabaadbaacabadbccdbcdddcbaccbbadbdbadabacadabdcddccdcbacdbddcacbcabbbdcaacbaaaaaca
+dcccbdccbadcdabaccbdaadcabdaaddbdccbbbdddbdaadbbcbadcbaadacdbbaadcadbdcbddabbdbbcdabdbbc
+bbbcbccababccbacaccdaacad
+ddaddadcaabcbbcbcaacbcdabdbaacdccacdbcbbaabccbbabbaddca
+bbbdddadaadcdcddcd
+aabddaabbcdcbcddadcadbd
+bddbabdccbabbdbaaaaccaddbcdadadbdbcbcdbaccadbdbabcbdbddbacccddaaacbccdacabdbabdcbbaddbadbcbcbcbdbd
+cbdababaabcbdacaaccbdacbccbcdbadccbaadddabdbccacadadacdabdaaadbbbbcdbdadbdbc
+adcdaddabddbbcadcaacdbcb
+adaddcdcbadabccaccbbbacdabddccdddbacccdaccbcacbbbaaaaadaaadddaaccbccbdbbdcbacccdacddabcda
+abbaacbbdcddcdbdcbddaccaddadcdabadbdabbcbccaababcaddcbddbacdaddddbcbacaddbcddcacbbadadcdcacaa
+cbbbdbadcbadacbadbdbaddcdacddabdcdcbcddabccddcccddcbabbdadcdaaaaacdcadcdaabdcacaccdadbcdbbaca
+aaaccadaba
+bbacabacddabdddcabbadacabaddccdcabacadbdcdcccdabbcbdaaccadccccbcbdcadbdcca
+ddbbbbabaacbccacccdbcaaacbacdbcccbda
+cbbbbbbbbbddacacabaadcbcaaaacaadbcabbcccbabcacdbdabdacbcbcbcdbccaaaaacbdbbbcaacccacadadbbdccdbdbacccaddc
+bdbaaabadbbbbccddaccdcbbadcacadabcacdcabdbadcbaacaaccdbdadadacdcaaccdbaccbbcabcdcddbbcbcb
+acdbbabaabddbbabcdbbdbc
+dbdadaacdbddbcbccddacaacbbcddcbadcabcaaabcdabddbbbbaaccabdcbabdbcdbdcddbdabaabadabcaa
+bccabbbccddbacaadcaa
+aabcdbbadccddbdb
+aaadcaabbadcacbbadbbabacaaacbdbaacbcadbaacadaccccbaaddda
+ddadcbacbcdbaadcaaaddccdadacbccdadcbbdacbbddcdbbaccbabaadddaaabddbadcadcdacadccbcacaaddbbcabbdccdadddabb
+189 9
+cbacbabbccaabbaabbcccabbac
+cbccaaccbcacbbcbbaccbcaacbcbbcabccaaabbbbccccaacbcccacbcabbacbacbcbbcaaabcccb
+bcaaccbbbbabccaaccababcacbcbaacbabcbbbbacbbbaccaacbacaabcaccabcbccaaababbacbbbcabaaabaabcbbbbccb
+bacabaaccbbbacacabccbbbaccaaabbabbbbcccccaabbbcabccaccbbcabbbcaabaaccccbbbcaccabbccaaacbcbcbccaabccbaaccaa
+cbccbaaccbccbcacacccbaacbbcbbccccaacabcccbbcbaaaaccbaacacbcbbbccaacbcaa
+acacbcacabcbaabacccccaaccbacacaa
+baacabaacbbbcbacabccabcaccbccbabcacacbbcabbcaaacbacabbaccbcbcbcbbaacababaaccacccccbccaacbcabaccccaabbac
+cbbaacccbbbbbbaccabbbbcbbc
+acbbcaabbabacbbcccababbaacbbbbcabbcaaabbaabbabcaacbcabccabaacbbcabcaabbacccbacbcabccccba
+bbcbacacaabaacbaaccabbcacbabbcbcccabbcbcabcccccbcbccbbccaaccaaaacabaaaaaccaccbbbbca
+cbcaaabaaccbbabcccacbcccbbaccabbacacbbbbbccaccccabcaacccaaabaabbacbccbabccaccabaacbcbcabcba
+accabccaabcabbaaabcabbabacaaabccccbc
+bbababcbcaacbabacbb
+abcabacbbbacccbcacabaabbbbabaabcbaaacbaaaaaaacabacbbcacacbcbacbbcabaaaabcbcabaaaacacaccbacaaaacabaccbaabacbba
+ababaaabbccbacbabcbbcabcacaccbbbbacbbbbbacacccabacaabbbbbcab
+cabbcabaccca
+abccbccbcababccacaabbbaa
+acbabcbaabbaacacacbcacbcbabbaaabccaacbbaacacbabacbacababaaacbabaccabcbaccaacaa
+bbbaacbacbaaccbbcaacccaaaaabcaaabcbbabc
+babaacacaccbccacccbcabaacabacaabaaaccb
+bbaccbbaccbbcbbcabcababaabccaccbbaca
+bbbacaabacbbacaacacbccbccba
+bbbaabcacabbcbbccbabbbcbcbabacbabcabbbcbaacabb
+aaacbcbbaacababacbaabccbcacbcbacabcbaaabbccbbcbabcbcbbacbbcaccaacacbbcaccbbacabbbcbacaccbccb
+bbccccacbbcbbbbcacbabbaccacca
+abcbaccbbbcaacbaaacbc
+cccbbccaabbaccbcbacbbc
+cbbbbaaabaaccacbccbabbaaabccbccccbcacbbccacacbbbcccabaaccbba
+aacaccbcabcbacccabcccccbcbabcbcacbacbcccbbbaaaaabbaccbbccaabcaccaa
+abbacccabcaacaacaaabbcaaaabbbccbbbacabcbbabbbabbcabc
+bbbcbacbcccbbbcabcbbb
+abccabbcbaaccaaccababaccbaaacaabaaaabcacccacabcabbbcabbaccccbccbbccaccbcacbbbbaacccbbbccacccccab
+cbcbaaccacbaacaccacaaacbbbccabcaabbacaabab
+aacaaaabababbaccbcbabbaaababccababcabaaccc
+aaccaacccbbbbabcabcbaccccabcabacbaacccccbbbaabbbaaaaabbacbabcaabcccaccaacaccbbcabbaccbbccacaab
+abbacbccacabbcacbcabbaabbcbaacabaabbaaccab
+acabccccaaabbcccccacacbbccbbbca
+ccabbbcaabbaccbababbcbcbccca
+bbaccbccbbccaaacaaaaaaccababcc
+acbabbaaaabbaaacbcbacbcbababacbbabcaab
+cbccbbacbabacacbbbabbcaacabbccccccacccbbcabcaaabbcc
+baaabbaccbcacbbcccbcbbcaaacaacccbbacbabacbacbcaacbabbbcacacacbbabaaaabcbacbcabcaccabcccc
+bcbcabbcaacaaccccbcccbbcbbbcaabcb
+bcbccccbcabbbabcbccccbababcabcaacaccababb
+aacacaacaaccacbbabccacacbcbbcaababaabaacacbcabbccbcaacbaab
+bccaaccacbbcaaacbcabbbcaaacbabbbcbaacaaaccbbcbccbabbabcacbcaacabbcbcaabbbbababcaaababab
+bbbcabbcccacababbcabacbbacaaacaaacbbaabcacaaaabccabcccabaaaabccbcabccbbcbbcbcccccccb
+cbbccacbacaaaabbcabacbaacbbbaaccbabaccc
+babbaaabcabbbabbccabbbacabcccacccbacbbcbccbccccccabccaccaccbaaabbacacbaa
+cbcabcbcaabcbaaccccaccaabaabccacabbbaabbbbaaacacbbacbbaaabaaabaaccaccbbaacccbcaaacbbb
+bbbcaccbabacbbcbcccbaaaaabacabbabbabccccbabbccccabacacbacababcccacbaabbbbcb
+bbacacbbcbabcbabaca
+bccacabaabbaacbbbcacbbcbabcc
+aacbbccacbabbaaabbcaccbaccaaacaabacabab
+aabccbbbabbbcaaccbcbaccaabcbbacaabbacaabcccaabaacbabcbacccbbaacaacabbccbcbbacaccaccabcccacbbcc
+cabbbbabbbbcccbbbbbcacabcaccbacaaacaabcbccbbcbcaacccacccbaacbcbbacba
+cbbaabbbabccacbcbcbccabaabaabbacaabbcbbbacbabcaaccaaccabcbbbccbcaabbacacabacbbccacaccbc
+bbbccabbbaabacbabacbbaabcacbbabcabcbbbbbcbbabbbacaccbaaaaaabbccbbb
+aaabccabcbcbbbacbccbacababacbacabcc
+cbcaaccacbcbcaaccacbaaabbc
+bbabbabaabacaacbbbcccccbcabaacccbbcc
+acabcccbcbbbbaaaacbbcbbcaccaaabb
+cbbaacbcacbacbbbbccaccaaababcaabaccbbacaaabbcaaaccaaabcbcbcaacaccbccbaaaabbbbbacbcbbabcbaaaaa
+aabbbcbabcaabcbcbcaaababbbcbcbabbcbcacc
+aabcabbbacbbbbaacabcaabbbacacabacaabcbabababbcaacaaacbbbcbbabbcabbcbcbccbbbbbababacabbcbcacabbba
+ababaaacacaabcccabbaaccaabbbaaacbacbbc
+ccccaccbcabcccabccbabaacaccbaacaccbbcbcbbaaaaabccabacbaaaaacbcaaacbaccbbbaaaab
+ccbacbccabbabbabbaccbbcbabbacacbb
+abbcccbbcaaaacc
+cbcbbcccbcbaababaabacbbccccbcaabcbcaaabbcbcccaababcbabaaaabbcbbbcaaccbcbacaacaacbbccaccababaccbcb
+cbaacaabbcccbcaccbaccaaaaaaaaaaabaabcbcab
+abcaacbcabcaaabccbbccbbccbacaccccacbbabaacbcbacacacbaabacaababbcbbbcbc
+aaabcbccbccaccaaabbacacbccaaccacbcabcaacbabbaacaaccccccbbacccbabcacbaacbcacabacbbbaacaaabacbbbbaba
+ccabcbcacbbbcabababcbaccbaccccbabbcacaaabbaacabbbbbabbacaa
+aacaacbacbabcabaaaccbcbcbabbaaccacbcacccaabac
+acaacccaabacbbaaccbcbaabcabbccbaacbabbbbbccabccaaacccaaacbcaaaccaacaacacacabbccbcaacabbbacbbcbaaa
+acaabbbcabcabaaaccbabbaacbcccbbaabacbbbc
+cbbcccaacacc
+baccbacaacabaccacbccababacabbacaaaacabbbcbcbcaccabaacbcaabccccbaaababaabbabccabbac
+abcbcbbcaacababbcabaaacabccbcabbabbabccacccbabcaaacbbbcabacacabacacbcbcbbbabcaccaccccbcbbbaabccbaabcabbabaaa
+cbcbbbcbabbabccbabaabcabcbbcabbcbccbcbbbbcccbcccaccbcacacccccbbbbbccaabcbaabbaaaaccccbacbbbc
+aabcabbcbaaaaaaaacaaababcabaabacbbabbbcbccbbaaacbacbbbaabcbbbcbcccaacaaabcbbcbcabcaa
+bababababaabaabbcbbabbccabbacacaaaabbccaacabaacccbbccbacbbacbbabcbacbccbcabacaabcacbaaacacaabbaacbbbcbcbcb
+ababcbccabbaab
+bbaccbccbabacbbabccbcbbcaaaaaaaaccbaccacccaaacacbacabaaabbabbccccbabbcab
+bbaccbcbbbcbcacbca
+cbbacbbccaacacacbabbcbcbaaacaabbbabbbacaaabcbcbbbaccccbcabbbcaabbbaacaccaacababcbabcabacacaccb
+acabbaaaababcbc
+acbababaabacbcbccbbbcaacbbaa
+caabacbcbccbcbbccccaacacbbcacbabaaccabcbbba
+bbabcbbcaccacbabbbcacabaabcaabbcabbccabccccccaabacaaabbcbbccabbccbacababcabaccccca
+cabbcbbcababaabbbaabbbcbacbbccaacabccbacaaacbbabcacaabcabaabcccacaaabbbbababb
+cabacaaccccbcbbccacacc
+ccbaaacbbbbcccbacabcaabcbbcbaccccacaabcac
+cabcccbacccbabbabaaac
+bcccbcabcbcbbcbccbbccb
+bacbaacbccacbaabbccbccabaccccbbccccbabbbaacba
+bcbcccbaaabbabbcbbbaccacaccbaaacbcaccaacacacbbcbaaacbcaccbaaccb
+cbaabcbaccbbaaccbbccccabacababbccabcacabbaccaaaabcbacaacacabacbcaaacacbbbcabbcccacaaaccacabbcbcabacaabaaa
+cabaaabbcbbccbabababbabccbbcb
+aaabcccbaaaaaabccbccaaaacccccbcabacbbbccbbbcbaccccaaabacbcccbccc
+acabacccbacabccbbbacaac
+bcbacabcabacaba
+cabbaccbaacabbccacbccaaabaccabbabacabaabbbacbcccacbacccbcacbbcaaccacbbcbcccbabaccbcbbaacaacbbbbbbcacabbca
+acbcbabbaccaacabccbcbaaccba
+bbaaabcccbcbbacaabccbbbccca
+cacabbbacbaccaabccbacaaabcaabbacabbbabbbbbbaaacabbbabcbaaacbbbaccbcaabcccbacacaacaaacbabcbccbcbccbaabbc
+aabacacacbcbcccaacbacbbbaccbcccbcaaaacbbbcabbaacbaabccabbccaaacbcaacaacbccbcccbcc
+acaccabaacaaabacbccbaaccb
+babaaaababbaccbcbbacababcccbacbcbabccbabbccccbbbbcaabaaaccacababaaccbc
+accacbcabacaaabbcaccccbabcaccaaaccaabbcbcbccbcbbaaaabcaccba
+abaccbabbacbccbbbcccbbcbaccc
+bbbbacbbacccbacaaccbbabbabaaaaabaacbcacbcbbcbcccccaabcbabaaacbccbbabcabacbbc
+bbccbbaabacaaaaccabacabcbcbbcaacccaaccaaacccaabcbbaacbcacabccbccbbcacbaabcabababbaabbabbccbbcbaabccbbbaaacabb
+baaabaaccaccaaacccaabbaccbcbaacbbbbcbabccabba
+bacbcabacabbcbcaacabbcbbccbbbaabaaccbbacaaabcabcbbcaaccbaacbabbcbccbbabbcacaaacbabbbaaac
+cbcaccbaacbababbacacabbaaabbbbababcbacbaccbbbbccccaacbaaccbabcacbbcaaabcbcaccbbcbcabbbaaa
+bccabacabccbccbbaababbbccaabcbbcbacbbbbaabbabbbcccabccbbabcbcabcacacaacbacacbbbbbbba
+cccaabbcaccbbabcbbcbaabbcababacccbbaacbccbaacccabbaaabcbccbbccaacbacacbcbbcbbcccacbbacaaaaaa
+ccacacccacbabcaacacabbcabacacacbcabbcacabcbacaaabbbcaabacbbbccabbcbbbbcbbabcaccaacccbcaaabcbabbca
+acaccbbaccbbbbabcacaaaaaccbcbcbcbbaaabaaaacbcbcaacbcbbccacaccbbbcbbacabccccbbbaaabbbccbabbcccabaacaca
+abbcbbabcaacbaccabbcaccabaaccacabacbcaccbbbabccaaabacbcbbccabccab
+babbaabcabccbbaacacbb
+bcbaccabacccbcccbabba
+aaaabbccbcbcaabaaaaacacbbcaaaabcacbbbbabccbbabcaaabbbcababbbacbaccabaacaaac
+ccccaccccaacccbbbbaaccababaabaccaaccabbcb
+caacbaaabcbabaababaaaac
+bcabaccacbacccccaaccaababbcbccbaaabbcbaccbabacbabccacbccacccaacccccbb
+bcaababbacbccbccbbcabbabbcccbccccbacbcabcaccbbabcabcabbbcacabaaabbaab
+cacbbcbbbbccabcbabcbacabcbbc
+abcbabcbcbaaccaabcabbacabcbcccaaababbabbacabaabaaaacacbcaaacaaccacbabacabbababaacabcccbaccacbac
+acabcbbaacbccbcbbbbaabacbcaababbbaaccbacabbcccaacaacbaaccbbbbbaacbcccbacbbbbbabbcaacbcbcaababbcbaacbabcaabcac
+caabccabbcccabbcacccaaabbabacbaa
+cbbacaacbbcabbacaabacaac
+cababcbaaabcacbaaabbbcaccabacaabcaaaabacbcbabab
+cbcbbccaaabaaaccbcaaaacbbbaacbbcbaacbcbccababaabccababaaaabcacbacbacaaaabcabbbacbaacbcbbcaacabbcbbba
+cbacbabcbcbcbcbccbbaabccaabaacbaabcacaccbcabcbbabbaabbbaacaacbabaaabbaababaacbccbacaabacbcabccbccabbcacacc
+cacacbccaabbccabacbccabbbbcbbabccbbabbaccaaabbacbbc
+baacaaccbbcccaabcaaabbbbb
+cabbcacbbbbccccabaaacabbcbacabccacacaababcbcbaccababcbbabcbbbabcbaaaccabcccabccaaaaaccacabaababbbbbcaacb
+baacbbcbaacacccbabbbbaabacccacbccccbccc
+cabcbcaaccabccbaccbaacacacacbbbabccbccaabacbccaabbcaababcbbcaabccaabcaabacbcaccaaaccbacbbbbbacacb
+cbcbcbcccacacaccbcaaaababacbbaabbccaacbabcbccccbbbcabcbaaccbbbbacabcbababcacaabbaabccbbabacccbcbbbbaabaca
+acacaabacaaaccaacaaccbbbaccbaabbbbbbbabacbaababcbccabacbcbcbaabccaabbaababaacbbacbbbbccbbcac
+acaaacbaacbcaaccbabaabbbacaccaacbbcacaabacbacababbbbbacabccbacaccab
+abccbcaabcccccabcbbcacbcaaabbccbbbccccacabbcbbcabacaccabbcbbaabbbbbabbacaccccccbbcbbabacbbcccaccabaabcba
+cabbccaabbabcbacbbccbaccbcbacabbcaabacbcabccbaccbbbc
+aacabaabcabacacabccbbacbccaccabca
+abcccbcbacbbaaaacbaaaacbabbabcaaaaacbbaccacbcabbbbbabcccbaacccacacaabaacbabbcacaccbb
+acaccaaccabcaabccac
+aaaababacaacbbcbcaaabcbcccc
+acbccbcbcbbacabbbbbbbccaaabbacabcacbb
+baccacaabaaaaaccaaaccbaccaccabcbcacaabaabcbcabbcabbbcbcbabbccbcbaccbbaabbbbbbaacbabbcccbbbbaa
+abbbccababcbbcbaaaabacbbbacaabccaabcbbcbbbbccaabcabacbbaacccbcbcaaacbcbcbaccbcaaccaaabbbacabaccaccabaac
+caabcaacbbaaababcbbcbcbbbacabccbcbaabbcbb
+accacaaaccccbbbbcbcabcbabaccaaaacbcabccbcccacac
+ccbcbbbccbaccbcacacabbaacbbacbaaccaabacaababaccbabababcccbacabcacbbcbbabaa
+abbcbaaaabcaccaab
+abbbaacabccabaaaacaaaccbbbbcabbbbbcabcaabbabcbabaacaaaacacbabbacabcbbacacbc
+baabcbababb
+abaabaabcaaabbabaaaabbbccaabacbacaaccbbbbacaacabcabcacbacbcbccacbcaa
+ababaaacabaabaacaabacbcbacbacccbabbaacaccbbbcbcaacacacaaaaaaabaccacbbb
+cbaabcbbcbba
+abacabcaaacabaccbabacababacababaabcbbacabccccbabcca
+caaabcabacacbbbcabcccccabaaacabaccbcaaababcbbcbbcb
+acaccbacbcbacaaacacbacaaabaaaabacaacccbcaaabcbcabbbccacaabccacaaabbcabcbbbbbcccbccaccbbab
+bacacccbbaacabbaacaabbcccbcabacbcbcbbbbabccccbaacccbcaabcbbcbabcaaaacccabbaabacabacacacacc
+cacbcbbaaccacacbacbacbbcbacbaccacbaccbabaccbcaaabaacbcacaaccacaabbcababbbbaacbcabbbca
+accbbbabbbcccaacbcaccbcbababcbaccaccabbabccbbcaacababbccaccabccaabccbbacbbcabacaacacbcaab
+bbccabccbccbaccaaccbcccbbcbabcacccaaabababbababcbaacbaaaccbaaccbacbccccacabaababcccbbcccbabcbcaabaccbaa
+aaccbcbcbcabbccbcccccaccacabbcbbbbaaaabbccbbcbcaabaccaabcbbcbbbacccacbbabcaababab
+bbbacbbcababbaccccbaacbbccaabbacccbabbcacacccbabaaabbcbcbcaccbaaaabcbcaabcbbbccabbababbbacbaaaacbc
+cbbbaabbaacabcbbabacbcabcbbcaccaaacbcbaacbbbacbcbacbcabcbcbccaccabbc
+bbcbbabbabaacaacbbbbbbaabbbaacbccabbacaacaabbccbbccabbaaacccaccac
+aacccaababacbabbbcabbbabcbaacabbaccabbccaaacbaacccbbcbacba
+aabbbcbbcacbbcacabbac
+bccacaccbccabcbbacaaaaaaaccabbaacaaccca
+acabcacbcccbbababbbaaabbacababbcbbbbcaacacbcbccaaccabaaaccbacabaacbcbbbbbcbababacbccbbbacbabcccbbcbbbacccaa
+acbacbabacbabcabacbabbabacaccccaacbbcba
+aabbbabcbbcacacbbbaaabbababaccccaaabbacabcbaacbcbccbcaaccaaaacabbaabcaabbaaabc
+bcccaccbababbbbcbbbbbcbaa
+abbcbbccbbcaaaaaccbbcacbccabbacc
+cabbbbaaccbabaabaabcccbabbaacccbacbcaabcabcbbbccbacacaccac
+aacaacccaccaacbccbccaababaaacbcccabbbbcabbbbaabaaaababccccbcaaccbbababbaaacaaacccbccbaccabbcaaabcaccbababca
+aaacccaaacaaabcbacaccbccaccabcacbacabaaccbcccbacbcbbcbccbbcccbbbacbbbcbccbbbabcccaaaa
+bacbaccbacbcbaacaabcbbccbbccbabbabaacbccbcbccaaaaccbc
+babbaabbbaccbacbabca
+cbaaaaabcbcbbabcabccccbacaacaaabcccccc
+bcbcbccccbabaccccccccaaccbbacacaaaaabbcabbcbcccbaa
+300 98
+aabbbaaabbbbbaaaaababaabb
+aaaaaabaaaabbbaaaabaabbaabbbbaabbbababbaabaaabaaaaaaababaaabbabbbaaa
+baaabaabaaaaaaaabababaabbbabbbaaabbbbabaaaabbbbaabbbababababaabaaabaaaaabaabaabbabbaaaabbbabaaabbbaaa
+babbaabbbbbbbbabbabaaabbb
+aabbaaaabbbaaaaabaaabaabbaabaaababababababbbbbbbaabaaaabbabbbabbababbbbaaaaaaabaaabbababbaabb
+baaabbbaabbabbabbbbbbbbbbbaabbbababababbabaabbbabbabbaabababbababbaaabbaaaabaaaaaabbbbb
+bbbaaaabbabaabaaabbbaaabbabaababbaabaabbaaaaaabaaabbaababaababbbbbaaabaaaabababba
+bbabaabbaaaabbbaababbbbaaabaaaabbaababaabaaabbaabbaabaaaaabababababbbabbab
+baabababbbbabbaabbabaaaabaabbbaababbbaaabaabbbbabbabbb
+bbababbaabbaaaaabaabaababaaaabbaabbaaabbabbaabaaabbaababbbbabbaaaaaabbbaabbabbaaaaabaabbaa
+abaaabbbbababbaaaababbbaaabbabbababaaaabbbbabaaaaabbaaaaababbaabbbbaaabbabaabb
+bbaaaaababaabababaababbbbabbbabaabbbaaabba
+ababbabaaaabaabbbaabbaaaabbbbbbbaaabbabaabaaaaabaaaaababaabbbbbababaaa
+baabbaabaaabababbbaaaaaaabbbbaaabbbbbababbaaaaaaababbaaabaaaaabaababbaabbbaaaabbbababbabab
+abbabbbaabbabbbababbbaaaaaaaabaabbbabab
+baabbbbabbbbababbbbaaaabbaaaabaabbbabba
+aaabaaaabbbabaaaaaababbabbbabbbabbababaaaaaabbabbbbbbaabbbaaabbaababaaabab
+aaaaaababbabaaaaabbabbaabbaabbaabbabaabaababbbabbabababaabaaabbaaabaababbbbabaabababb
+baaaaabbaabbaaabaaaababaabaaaabaababaababab
+ababbbabababbaabab
+babbbbababaababbababbaababbbabaabaaabaabbbbbaaaababbbaabbaabbbabbbbaaabababbbbbbaabbbbbbaaaaaababaa
+aaaaaabbbbaaabbaaaaaaaaaabaaabaabbaabbbaabbbabbbbbabbbaabbbaaababbabaabbbababaabaaaabbaaaaaa
+abbaabababaababbbabbaabbbaabbabbaababbbbbbaaaaaaabbaabaabaaaaabaaaabbaaaabbaaabbabaabbaaabaabbaaaaaaabaaa
+aabbabbbbaaaaabbababbbbbabaaaabbbabbaabbbaaaababaa
+bbababaaabbbbabbbb
+bbaaaabbabbbaaabbaaababbabbaabbbabaaabbbbbaaaa
+aabbabaaabababaaabbabaaaabbbbbbbabbaabbbabaababbbbbbaabbaaabaabbbabaabbaababbaabaaababaaababaaaa
+baaabbbbbbbbbbababaabaabaabbaaabbaaababbabbaabbbbabaaaaababaabbaaabbaababb
+babbababbaabbbabbbaabbabaabaaabbbbaaabbabaabaababbbbbbbabaabbbaabbaab
+abaaabbbabababbaaaaaaaaaabaaaabaaabaaa
+baabaabbabaabbbbbbaaabababaab
+bbbaabbbaabbabbbaabaabbaabbbbaa
+bbaabababbabbbabbbbaabababaabaabababaabbaaaabaabbbaabababbaabbabaabaabbaababbbaaaaaabbabbaaaabababbbbababb
+abbaababaaaabaabaaabaaaabbbbabababbaabbababbbabababbaa
+bbaaaaabbababaababbbaabaaaabbbbbaabbaabaababaaabbbbbaaaaabbbbabbbaabaaaabb
+baababbaaaaaabbbbbabbaaaaaaaaaababaa
+baaabaababbaaaaaabbbababbbababaabaaabaabbabbaaabaabbabbbaabbaaabbabbaaabaaaabbaaaabbbaabbaabaababaaba
+bbbbaaabbbaaababbbaaabbabbababbbaabbbaabaababbaabaababbbab
+aabaaaabbabababaababbbbbaaabbaabbbbbbabaabaaabbaabbbaabaababbbabaabbabaaabaaaaaaaabaaaabaaabbaaa
+aaabaabbaaaabab
+aabbaabaababbabaabbaaaaabaabaababbb
+babaaaaaababaabaabbbbabbabbaabaaababababbaabbbbbbbbba
+abaabbabbabbba
+aababaababbbbaabababbbbabaaabbbababbbbbaaaabbbbaabaabbababbbaaabbbbaaabbbbabaabbabbbaaabbabbabbaabbbba
+bbabbabaabbabaabbaaaaaabaabaaaaaaaabbbbaaaaaabaababbbbbbbaaabaaabaaaabbbaabbaabaaaabbbbb
+aabbaaabbaaaabbaaabaabaaaaabaaaaabbabbbabbbaaabaabbbbbabbabbbbbabbbaa
+aabaaaabbbbaababbbabaaaabbababbbbaababbbababbbaabbaababbbabbabbaaaabbbabbbaaabaaaaabab
+bbbababbbbabaabbbaaaabbaaaaaabaaaaabbaabaaabbbbabbababbbbaaababbaabbabbab
+bbbabaabbbaa
+aaabbbabbabaabbbabbbaaaaabbbaaaabbbabbbabbbaabaabaaaaabbbaababbbabbbbbbabb
+aabbabbababbabababbbbababaabaaaaababaabaaabaaaababaaaa
+aabaabaabababaababaaabbbabbbabaabbbaababaaabaaabaaaaaa
+abababbbbababaababbabaabaabbaaba
+bbbbaaaaabbaabbbababaabbabbba
+aaabababbbabbabbabaaabaaaababbbbbaabababbabbbbbbba
+abaaaaaaabbaaa
+bbbbbaababbaaabbaaabbbaabbababbbaaabbaabaaaaaaababbabbbabaaabaababbbbbaaabbababbbbbaaaaba
+abaaaababbabbbbbaaabbabbbbabbbaaababbaaabaaaaababbbaaa
+aaabababbabbbaaaaabbbbbbabaaabbbbbbbbabaabbaaabbaabbaababbbbbabb
+baaababbababababbababbbaababbabbabaaaaabbabbbbaabbbaabbbaaababbaabababbbaabbabbaaabbababaaaaaa
+aaaababaabaaabbaaababbaaababbbbababaaaabbbbaaaabbaaabaabbaaabbbabaababaabbababbaaaabaabbabbababbbbabb
+bbbabbabbbbaabaabbbaabbaaaaabbabbbabbbabbbbababaaaababbabababaaabbabbbbbbbbabbaaababbbbbaaaaaaaabbaaababa
+bbbaabbabbbbabbabaabaaaaaabbabaabbaaabaabaaabab
+bbaaaabbabaabbaaba
+babaabbaabaaababaabaaabbaabbaaaababbaabbabbabbbbbaabbaabaabbaabbaaabababbaba
+bababbabbabbbbbbbabbbaabaabaaaaaaababbbaaaaabbaababaababb
+bababbbababaaaaaaabaabbaaaababbbbb
+abbababbabbababbbbbbbaabbbabbbabbababbbabbbabaabaababbaaaaabbaaababaabaabbbbabbabaabababbbaaabbaaabab
+babbabbbaaaababbaaabaababbabaaaaaaaabababababaaab
+aaaaaaababaabaaababbbbbaababbbaaba
+aabbababaabbbaabbaaaabbabaababbaaaaabaaabaabbaabaaaaabbbbbbababbbabbbababbabbbbbaaab
+bbbabaabbbb
+baabbbbaaaaaaaababbbbbbbbabbabbababaababbaaabaabbabaaaabababbbaaaababbbbaabababaabababababbbabbabbabbbb
+bbabbbbaaaaaabaab
+bbababaaaaababbabababaabbaaaabaa
+baabbabbabaaabbbbabbaabbabbaaabbaaaaabbababbaabbaabbbaaaabbbaaabbaaababbbbaaabaaaabbabababbabaaaab
+bbabbaaaabbbbabaaabbabaabbabbbbbaabaaaaaaaabbabbbbaabaaabbaabbababababbbbabaaaaaabaabaaabaabbabbabbaabbb
+bbaabbababbabbaaaababaaabbaabbabaababaaaaababbbabbaabbbaabababbaababbbbbabababbabbbaabbababbaaabbabbabbaaa
+baabbbaaaaaabbbbbaababbaabbbbbbbbaababbabaaabbbbbbaabaababbbaabbabbabbabaababbababaaabbbbbabaabaaaabaaaaabaa
+abbbbbbbbababbbaaababbabaaabbbabaabbaaabaaaaaabababbbbabaaababbabaaab
+bbaaaaabbababbbbbababaaab
+bbbbbbababbbabaabbaabba
+babbabaabbabaaaababbabbbbbabbbbbaaabbbbabbbaaabaaabbbbbaabbbbaabaabbbaaababbbbababbbbbabbbaabbabab
+bbabbbbbbaaaabababbaabbaabbaabaabbaaabbbabbbbbabbbaabbabaababbaa
+abbbbababbbbbbbaaaaabbbabbabbabbabbabbaababbbbabbababbabbaababbbaaabbbabaabbbaabaaabbbbbaaaaababbabaabbbbbbbb
+ababbbbbababbaabbaabbaabbaabaaaaabbbabababbaabaaaaabbbababbbabbababbbbaaabababababbaaaaabaaabb
+baabbabbbababbbaabbbababbbbbbaba
+baababaabaaabaababaabbbbbbbbbbabaaabaabbbaaabbbaaabaabbbabaabaaaabbabbaabaabaababaabbbaaaababbababaaababbaaaa
+abaabaababbabaabbaabbaaaabaabaaaabaabbbabbbbbbbbbaabbbbabbbaabbaabbbaababababaaabaabbbabbbbaba
+aabbabbbaababbbaaabaabbaabbabbbabbaabbaaaaaaaaaaabababbaaabbabbbbbbaaaabab
+bbabbabababaaabaababbbabaaabbbabbabbaabbbbbabbabaaaab
+aabaaaabbabbababbbaabaaaaabbbaaabbbaababbabbabbabbabbaaaababbaaaabaaaaabbbaaababbaabb
+abababbbbaabbabaaaaabbbbabbbbbbbabbaabbbbabbbaaabbabbbabbbbababaaabaaaaabababbaaababaabbaabaab
+bbbaabbbbaaaaaaabaabbbaaaabababab
+abbbbabbbbaaababaababaabaaababaaaa
+aaaaabbaabaaababaabaaabbbbabbaabababaababbabb
+ababbaabbbaababbaabbbabbbbabaabbbbbaaababbb
+aaabaabaaaabbabaabbabbbbabbaababababbaba
+bbaaabaabbbbbbbaababbaaaaaaaaabaababb
+aaaaabbabbaabbbbbbabbaabababaabbabaaababbab
+babbbbbaabaabaabbbaabbbabaabaabbbbbbabbbbaab
+babbbbaabbaaababaaaaabbbbaaab
+aaabbbabbbaaaaabbbaaabbabbabbaaababaa
+abbbbaaabbabbaaababbaaabbbabaababbaabaaba
+aaaaababbbaaaaaabbbabbbaaababaaba
+bbbaaaababbbaabbaaabaaaa
+bbaabaaabbaabaaababaabbbabbababbabbbababbaabbbbaaabbaababaaaaababbaabbaaaaaababaaab
+aaaaabbbabbabbbbbbbabbbabbaaabbabbbbbbabaababbbabaabbbbbbaabbbabaabbbabbabbbbaabbababbbbabaaaabba
+bbbabbabaabbaaabbbaabbabbbabbbaaabaabbbbabba
+abbabbbbbbababababbaababbaababbbbabbaaabbaaaabbaababbbbbaabbbabababaaaabbbbbabaaaba
+aabbbabbbabbbaaaaabaabbbbbbbabaabaabababbbbababbaabbbbbaaaaaabbabbabababbabbbaabbb
+bbabbabbababbaaababaababbbbaabbbbbbaaababbbabaababbaaababa
+aabaabbaabaabaaabbbaabbbaababaabbbaabbbbbbbababbbaaaabbbbbbabbabbbbbabaabaa
+babbbaaabbbbabbaabbaabbbaaaaaababbababbabbbbbbaabbaababbabbabbaabbbbbab
+abbabababbaabbaabaababababbbbbabbbbbaababbbbaaaaabaaabbabaabaaabaa
+baababbbabaabbbbbbabbaabaaaaaba
+aaaaabaabbaababbabbaabaaabaaabbbbaaaaabbbababaaaaabbbbabaabbabab
+aaabbaabaabb
+babbaaabaabaabbbbbabaaaaaabbbaaaaabaabababbbabbbbbbaabbabbbbaaa
+bbabbbaaaaabbbbabbbabbabbbbaaabbbaabbabaaaabbaaababbaaabbaabaaa
+bbbbbababbaabab
+aaababaaabababab
+babbaabaababaabaabaabbbaaababbabbbbabaaabababaaabbbaabbbbbababaabbaaaaaaabbabaabbb
+bbabbaabaabbabbaaabbabaabbbbbbbaaaabbaab
+aaababaaaababbbbaaababbbabbabbbbbababbbabbabbbbbabaabaabbabbbabbaabbabbbabaaabbbbaaaabbabaaabaa
+aabbabbabbababbbbabbbbbbaaababbaabaaababbbbaabaaabbbaabbbabbbbbbbaaabbbbba
+abababababaabaabaabbabab
+bbaaabbaaaabaaabababbababaabaabbbbaaababbbaaabbababbbbabbbbbabbbaa
+baabababbbbabbbbabaaabaabbbababaaaaaaababaaaaababababaabbbbabababaaaabbbbbbaabbaaabaababa
+aaabaabaaabbbbbbbabbbbbaabbabbbbaabbbabaabbabbabbabaabbbbababbb
+babbbbaaabaabbbbbababbba
+bbabbabbaabbbabbbaaaaaaab
+abbabbbbabaabbaabaabaabaaabbaabbbabbabbbabababbbabaa
+bbabbbaababbaababbaabbabbaaababaaababaabbabbbbbbababaabbbbababbabaababbbbbabbaaabbaaabbabbbabbaabbbabbba
+aabaabaaabbaaaabaaabbaaaabb
+bbbbaaaaab
+baaaaaabbabbabaabaaaaabababa
+babbaaaaabbbbabaaaaabaaabbabaabaabbabbbbabbbababaababaaaabbabababbbaabbbabbaa
+bbabaabbbabbababaaaabaaaaaabbababbbbaaaabbbabaaaaabbbbbababbabaaababbbaaabbbbbabbbaaaabbba
+abbbabbabaaabaabaaabbbbaaabababbbbababbbaaaabbaabababbaabaabbbabaabaaaabab
+bbbbbbbbbbbaabbababbbbabababbababbbababbbaabbaabaaaaabbb
+ababbababbaabbbabbbaababababaaabaabbaaaaaabbbbbbbaaabbaaabbaababaabbbaabaabaababbbababaabbbabaab
+babbabaaababbabbaaba
+baabbaaaabaabbbabbbbbaa
+abbabbbaababbaaabbbbaababbbbabababababaabbbbbbaabbbaaaabbabaabbbabbbabbaababbab
+abaabbabbaaaabbbaababbbabaaabababbbaabbabaaaabbabb
+abbaabaabaa
+abababaaaaaaaabbbbbabaabaabbabaabbabbaababbbbbaabaabaabababbbbaababaaabba
+abbbbabbaabbabaabaababaabbaaabbabaa
+bbabbbababbbbbbaabbbbabbbbabbaaababbabbaabaabbaabbaababbbbbabaaabaaabbbabbaababbababbbbbaaa
+aabaabaaabbbaabbbaaba
+aaaabaababbbaabbaaababa
+aaaaababaaaabbbbbaabaabbaaaaabbabbaababbbaabababbabbaaaabb
+baabbaabbbbabbbbaaaabababaaababbaaaaaaababbb
+baababbbbababbbbaabbabbbababbaababaaaa
+bbaabbbaaaaabababaaabbaaabbbaa
+abbbbbbaaabbababbbaaaabaababaaaaaaabbbabbaabbbaabbbbababbbaabaabaaaaaabbbbbbbabbabbaaabaaa
+bbaababbbabbbbbbabababbaabbababbaaaaabbababbbaabbbabbbbbababbbaba
+aababbbbababbbaaababbaa
+babaabaabbbaabaaa
+baabbabaaabbbbbbabbabbbaababaab
+baabbbaabbbbaaabaaabaaaaaababbabbaabbaabbbaaaa
+abbbaabbabbbbbbbaaabbabaabbabaababbbaabbaababaabaaabbbbabbbaabaaababbbaaaababbababbbbaaaaabbaaabaababab
+abbbbbbbbbabaaaaabbaababbaaaaaaaaaaabbbbabaaabaabbbbabbabababababaaabaabbaabababbbbbabbaaaaaabaababbaaa
+abbbabbbbbaabbbbaabbbbababababbbaaababbaaba
+abaabbbbaababbabbbabbabaaaabbbbbabbbbbbaabaabbbaabaabbbbbabbaababba
+aaabbaaaaabbabaabaabbbbaaabaabaaabbbabbbaaaabaaaabbbabbabbabaabbabbaaabaaaa
+bbabbaabbaabbbbabaabaabababbbaabbbbbbaa
+bbaaabbbababaaaaaaababaabbbababaaabbbbbbbababaaaabaaababbabbaaabbbbaabbaaabbababbbb
+aabbababbbbbabaaaabababaabaabaaaaaaabaaaaabbabbbaabbabbbbbabaabaaaaabbbbbbbbabbbbbbbbbbbbbbabb
+bbbbaaababbbaaabaabbabababbabbabbbbbabbabaaaaabbabaabbbaaabaababbbbabbabababaaaaaabababbb
+aaababbbbaababbbbaababbababaaaaabababbbaaaababa
+babbbbbaaaaabbaabbbaaababbbaababaaabbabbbabbabbaaabababbaabbaabaaabbbaabbabaabbaaaababbbbbaaba
+baabbaaaaaaaaabbbabaabbabababbabbbabbaababbbbabaaaaaaabbbaaaababaababaaaaaaaaabbbbbaab
+abbaaabbabbbbbabaaabbbaabbbabbabbabbbabbaabbabbabababbabbbabbbaaababbaabaaaaabaababbbabaababbabbababbbaaab
+abbabbbbbabbaaababbabababbaaaaaabbaaab
+babaabbaabbaaaba
+abaabaababbaabb
+abbabbaaabbabaabbbbbbaaabb
+bbbabaabbbbbaaaaaaaaabaaabbbabbbbababbbababbbabaaaaabaabababaaaaaababbabbbaaabbabbabbaaaabaabbabbbabab
+baaabaabbbabbbabbabaab
+babaabbbaaababaababbbabbabbabaaabaaabbabbbbaaaabbbabaabbaaa
+aabbabbbaaabbaaaaabbabaaaabbaaa
+aaaaaabaabbabbbabbaaabbbaaabbbaaababbaaabbaaabbabbbabbaabaaaaaabbabbb
+aaabbbbbabbbbabbaaabaabbbbbbbbbbbaaaabbbbbbbaaaaabbaaaaaabbbabbabaababbaabbbbbabaabbbabbbaa
+babbabbbbabaaabbbababbabbbabaabbabbabbbbaaababaabbbaaababbabbbbabaabbaaabaaabbabaaabaaba
+bbaabbbaabaaabbbaaabbbbbbbbbbabbbababbbabababbbbbbababbb
+aaabbbbabbbaaaaaaabaaabbabaaaababaabbbabbbaaaabaaaabb
+baaabbbbbaa
+bbbabaabbbababbbbababbbbb
+babbaaabbbbbbbabbaaaababbabaaabbabbbbbaaaabaabaaabababaababaaaaababa
+abababbaabbaabababaaabaaabbbbbaaaaabbbbaabbbaabbaaabbabbabbbaba
+aabaaaabaaaaaaaaaabbabaa
+baabaababaaabaaaabbabaabbbaababbbaabbbbbaaabbbaaabbbba
+bbbbbbabbabbbbaaaabaabababbababaaaaaababababbbbaabbaaaabaababbabbabaaaabbaaabababaaabbaaa
+abbaaabbababbaaabbbbabbbbabbbabbabababaaaabaaaaabbabbbbaabababbaaabaaaaabbaaabaaba
+aabaaaaababaaaababababbbabaabababaabbbaaaaaaaaabaa
+abbbbbaaababbaa
+aaabbbaabaabbbaaaa
+baabaaababbaaabbabbaaaabbbababbabaabbbaabbabbabbaaabbababbbbaaabaaa
+bbbaaabababbaabbbbbaabbbbaabbbaaaabbbaaaabaabbaaababaabbaaaaabbbbababaaabaabbaaaa
+abaabaabbaabb
+bbbaabbbaabbabbbbbbbbaabbab
+baabbaaaaaaababbabab
+bbbbbababaabaababbabbabbbbbbabbabaaabbabbababbaaaabbaabaaaba
+baaaabaabbaababaaaaababababbbabaaabb
+abbbbbbbbbaaabbbbaabaaabbabaabbbbb
+bbabbaabbaaabaabbaaaaaabaabbbaababaaaabaaabbabbaabbaaabbbabbbaaababbbabbabbbbbabba
+bbaaabababbabbbaabbabbbaabbbaabbbabbbababaaba
+baabbaabbbabaaabbbabbaabaaababbbbaabbaabbaaabbaabaaabbabbbaabbbbababaabbbabababbabbaababbba
+bbaabaabbaabbbbbbabbbabbbbbbabbaaabbbbaabbbaabbbbbaabbaaaaabaaabababaaabababbbbabaaabaabaaaaabaaabbbabab
+aababbbabaababaaababb
+bbaaabbabbbababbaaabbbaaababbbbbbaaaabbaabbababaabaabaabbaababbabbbaabbaababaababaaaabbabbbabababbababbababab
+bbabbaababbabbbabaaaaabbbbbbbababbaaab
+aabababbaababaaabbabbbabbaabaaabaabbbaabaabbaaababbbbbaabaaaabbbaabbbba
+abbbbbbabbababbababbaaabbbbabaaaabbabaaaaabbbabaaabbbaabbaaababbbabbbaaaaaaaabbaaabbbaaaaabbbaa
+aababaababbaaaaabaabbabbbbababaabbaabaaabbbaabbbbaa
+abbabbaaabbabaaabbbbbbaaabababbabbaaaaaabaaaaababaaaabbaabaaabbbbbbaababbbabbabaaaaaaabaaabbbabaaaabaaab
+aabaaabbabbabbaabbbbaabaabaabbbabbbbabbaaab
+ababbbaaabaabbbaabbabaaaaabaa
+bababbbabbaabbabababbaababaaaabababaababbbbabbababbabbaaabbabbabbab
+abababababbabbabaaabbaabaabaabbaabbbbbbbbbaaababbbaba
+ababbbababbbbbbabbabababababbbbbabbbaabbaabbabaa
+babaaabaaaaabaababaaabbbaaaabbbaaaaabbbba
+aababbabbbababbaabbbbbaababbbabaaaabaaabbababaabbbbabaabbbbbabaaabbabbbaabbababbaaababbbaaaabbbabbabbaaabab
+baaaabbbaaaaabaabaab
+ababaabaababbbbbabababaaabbababaaabbbbaaaabbabaabaaaa
+baaabaabbabbabbb
+abaaababbabbaa
+baabaababbbbabbaaaaaaaaaaaaabbbbaaaaabbbababaabaaabbbbbaabaaabbbaabaabbabbabaa
+abbabbababababaaaabaabbbaabbbabbaaaaaabbabababababbabbabaaaaaaa
+aaaaaababaabbbaababbbbbbbaaaaaabbbbbbabaabababbbaabbabbabaaaabbaaa
+bbbababaaabbaabbabbbaaaabbbbbbbaabbbbbbbabbababbabbbababbaabaababbabaababaaabbbbaaababbaaabbbabaaab
+bbbbaababbabbabaaaabbbabababbaaabaaaab
+aaaabbbbaaaabbbbabaaaababaababbbaabaaaababbabababababbaaabaaababaaababb
+ababbabaabbbaaaaaabbaabbabbaabaaabaaaabbbabbab
+bbbababaabbabababbbabbabbbababbbabaaababbbbaabbbbabbbbbbbabbabbaababababaaaaaabbbbabbbb
+aaababbbaabaabbbaaaaabbababababbabbabbbababababaaaabbaabbababababbaaaabbaaa
+aabaabbabbbb
+bbbababaaaababaaabaaba
+abaabaabbaabbaaaabaabbabaaaabbbaaaabaaaaaaaababbaababbbbaaabbababbbabbaaabbbabaaaabbaababbaabb
+bbaabbaaabaa
+baaaaaaaaaaabaaaaaababababbbbaabbbaaaaaaabaaabbbab
+ababbabababbbabaa
+baabbbbbaabaaaaaaabbbaaabbbaaaaaaabbabaaaabbabbabbabbbaaabaaabbabbbabaabaababababbbbbbaaababaaaaabbbba
+baababaabbabaaaababbbababbbabbbaa
+abbbbbabbabbbaaabbbbabbabbbabbabaaabaaabababababaaaaab
+aaabbabaaababbbababaaaabbabbbbaaaaababaaabbbbbabbbbbbaaabaabbbbaaababbaaabbaaaaabbbbaaaabbabbbaab
+bbaaabbbbbbbbaaaabbaaaaabaabaabbabbbabbababbaaabaabaababbbbaaabbbaabaabaaaababbbbaababbaabbb
+aaaababbabbbababbaaaabbbbbabbbaababbabbab
+bbaaabababababbbb
+babbaaabaabbaabaabbbabbaabbbaaabbabaabaaaababb
+bbaabbbbaaabbaabababbaaabbaabbabab
+ababaaaabbaababababbabababbbabaaababbaabaabaaabaabbabaaabaaaabbbababba
+bbbababaabaaaaaababbbabaabbabaabbbaaaaaababbaaaabaabbabbabaabbabaabbbaaaabbaabbbababaaabbabbabbbbbaabba
+abbbababbaaabaababbbaaaabaaaabbaaabaaababbaabbabbbbbabbbbbbbbbba
+aaabbabbabbbbbaabaabaaabaababbabaababbaabbaabbba
+abaaabbabbababaabaababbabaabababbaaabaabaaabab
+abbabaaabaa
+bbaababbabbbbbbabaaaababaababbbabbbbbbbbabbbbaabbbabab
+abbaabbbabababbbbaabaaabbabaabaaaa
+aaaabbbabbbabbabbbbbbbabbbabaaaaabbaaaabaabb
+aababbaabaaa
+bbaabbaaaaaababbb
+bbabaaabbbbbbaabbbaaaabaaaaaaaaabaaabaaaaaabaabaaaabaabbbaaabbbbbbaabbbbbbabbabaabab
+abaaabbbabaaabaabbbbbbbabaabbabbbaaababbabababbbaabababbaaabaabbabbabbbababbababbabbbbaaabaaabaabaab
+abaaaabaaaabbabbabaabaaabbbbbbbaabbababab
+ababbabbaaababbababbaaababaaaaababaabaaaabbbaabbbbaabbaaaaabbbaaabbaababaaaabbbaababa
+bababbaabbbaaabaaabbbbaaabbbabaaababaaaaaababbbbaaaabbbabaabaababbbaabbab
+abaaabbaaaabaabbaababbababaabbbbaabaaabaaaaaaaaabbbbbbaabbaabbbaaabababaabababaaaaababbabbab
+bbaabbabbabbbaabbaaaababaaaabbbbaaabbaaaaaaaabbbabaababbbaaaabababbaaaabbbbbabbbabbaba
+abbbabaaabbabbaabaabbabbabbabbbabbbabbaaaaabaaabababbaabbbaabbaababaaababaabbaaababbababaabbabbabaaaaaa
+aabbbbbaabaaabbbbbaaabbaaabbbbabbababbbabbaaaaabbabbbaaaabbab
+abbbabaaabbbbaabababaabbaaaaabbbabbbbbbabbaaaaaabaaaaabb
+aabaabbbbaabbbbabaabbbbabbabbb
+bbbbbbababaabaabbbbaabaabbbbaabbbabaaabbbbbb
+baababbbbbaaaabbbbbbbabaaaababaaa
+bbbbbabbbbbababbbaaabaaabbbbababbbb
+abbababbbabaabbbbaaabbbbbbaaaaaaabbbbbabaaabbbbaabaaaababaaabbbbbbaabaabaaababbbababbaabbbaaaababaaaababba
+baabbbaaaaabaabaaaaababbabaabbbbbbbbbbabaaabbaabaabbabababbabbabababbbbaaabbbaaaaabaa
+bbabbababbbbabbbbaaaabbaa
+ababbbaaabbbbbbbabaaaabbbbbbbabaabbaaaaaabbbbbbbaaabbb
+baaabbaabaababbbabababaaaaaaaabaaabbbbbaabaabbabbabbabbbabbbabaaaabb
+abaaabbbabbbaabaaaaaaabbaababbbbaaaaabbbbbababaaabbaababaabaabbbbbaaabbabbbbbbba
+baabbbbababa
+aaaabaaaabbbabbbaabaabbbbbbbababaaabaaaa
+aababbbabbbbbaababbbbabbbaaaaaaaab
+aaaaabbbbbaab
+aaaabbbbaaabbbabbbbbbbaaaaaaaaab
+babbbabbaaaaaaaabababbaabbbbbabaaababaabbaaababbbbabaaabbbaabbab
+aaaaaaaabbaaabbbabbbbbaaabaab
+aabbbabbaaaababbbababaaabaabababbbabbbababbbabbbbbbabbbabbbaababaabbbbbaabbabaabababbaabaabaababaaabababba
+bbbbabbabbbbabbbbbbbaababbbaabbbaaabbbbbaababbaaabababbbbabababa
+abaaaababbbaaabbaabababaabbabbbaaabbaaaaababbaaabbaababa
+bbaaabaaaaaabaaabbaaaaabaaababaabaababaabbbabbabaaabbbbaaababbbbaaaabbaabaabbabbab
+aababbaaabaaaaababbaaababaabbaabbbaaaabbabaabbaabbabaaabbbbabaababbbbaaaaabbaabaabaaababba
+bbbbbaaababaaababaababaa
+aabbabbaabbabaabaaaaaaaaabaabaabaabaababaabaaaaaaaaaabbbbabaababababbbabaab
+bababaabbabaaaabababbbbabbbabaaaaaaabaaaabaababbbaabbbaaa
+bbbabbababbabbbbaaaababbbaab
+205 61
+ccdabcdacdddadcbdddddbdababbddbbddbabdbcdbdabbcddcabadddbbd
+dcbcabdccaaaccadadcccbbabdcccccdcccb
+abbbaddabdabcdadb
+bdaaacdcccdaadbabbcaadcadaacdcdabcbdbbcbadbdddadcddbdaaccbbdbbbaddccabdab
+accdaacbbbdbcdccbbdabdbadabddabdadccabdadbabcbbabbbb
+dacaaddcccbbbaacbbdcdccdbcbddacabbababccbacbbcbdaccdcdabccddbbcbabccbcdbcccc
+cdaddbbaaaccacdbbbcccdcbbdcacdcabdadbddcdcccaccbbdbcadcdadabdbabbcdbd
+abaddbbdbdccacbdbdbcbaabcccddaabcbdcdbcbdcdbcbbbdadadbcdcaccdaacdcacdadcacdcaadcddcbcaacddddbccccad
+ddaacacbadacdbacadccaccdaddcabccdbabcddbddbcd
+adcbaddcbbbccacbbcbabdbabbacaccdddccdaaacacdbaadaddcadbbbcbdadaaacdccddbdcadcdbdacbcdddcdaacbcadacbaabadbadb
+bbddacdcaabbcdbaadddddbbdccdcddcddbbdccbccaacabbadddcccaadadbdacdcbacdca
+dccbcdbbbcaaadbcbdcbdbacdcccbbdabaddbcdccbdadbcccddabdbcdccaccbbbaabccbbcaddaacdbdcda
+aabcadccccdcccbccdacdbcaaacb
+ddbdccabacabcbdbdcbaadabcccacbdbcbbdaabdbdbaaaacaabbbd
+cdaddbabadcbbbabcbbbdcdbdbcdaaabcaabbacbaddbcaadccbdcadbabcccccbbdbdcadbbcbbbcbddaa
+bcabdbddbdccdbcccbdbadbbbadababdddbbccbbbabdddbdadbcbccd
+dcdbabbddabcacbbcadababaabccbacbdcaadcdaacaaccadadbacdddddcadbcbaabadbccc
+cbbdcabbcddcddaccccdbbdaadbdadbcbdddbdbcbdabcdbcacbadadddbd
+cdbbcbddcaadbcbcadaccaacdbaaaacdabbbddbddccdbccb
+bdacaaadaaacddccdaabbabcaddabacccbdbaccdbadddcabdaadbdcad
+abaccaaddacacbdbdacbdcdbaadacabbddddbbdbbdcaddcabcccbbcbddbdccddadc
+dabbcacddbacddcdcdcbdacdcdabcaaadacdbaddbdbbacdbbdbbdaddcdcad
+acbbacbbcccbcccacccbcbcbbcaaddbddbcacaadabdbabacbdbadddabcbbddacccdbacbaadcbacbdabaaccabdbadc
+bbadbacdaadcadcaabcccbbadcbbababbccbddbbbddcccbdadacbddbdaad
+baccadcdbaabadadddddcddddddacdcbbbbcadacabcaacacdbcdb
+adbbdcaaaabcdddacbabbdddbcdcbdcbdcccdbcaccbbdadbdaaaabdbbddbcdabbccbaaaaadabadcdccadbbadcdabcbacddddc
+dcabcbdacbcaadabda
+aadbbbdcbcccca
+adbcadddaacabad
+acabdbbcaddccdbdaddddaccbaacaacbcdcadacabdcdacbdcdaaaddbcdcaabbdaacbcdcaaadbc
+ababbdcadbaadbdabadacacbbaabcbbdccaddcbcbdbdccb
+aaaadbcabddabadcbcbaccbddaadcbcadbccbadaccaddbbd
+dabbdcdbdcdabbdacbdbaccbddbdadaabccbaabbcccdadcbbccbbdabcdacdadadbdccdcdbadabccbadac
+dbcbbdcbbddcdbcdabadcddcaadccdcbdbadbdccdddadddcaaadddbabccabcddcbbdcacdaddc
+abcbccabcbddcbbababbaadbaaabaddbcacacdacaddadcbcabbbddbacbdabaccdacd
+cdbbbcdcccdbdcdccaacabaddaabdbcababaaadccbaddbadcadbdcbca
+ccabcdbbdccacccacadabbdacbdcaddbdcadabaddadaca
+ddbbdddbddbccbbdcacadacdbaaddacddbbdcdbacacdabacbddabacaabdabdbbabadbbbdbbddbcccbbdadccbcbbcadcaa
+cbbbacaabccdddbc
+aadcddcbadcdcdcbbcaaaaba
+adcdcdbddccddcccabbcdabcaaccabacdcadacaccabbcccbbcdbdccdbdbcccdbaddbddababcdaabdabccdcabaadaddba
+dcccccbbdccaadbccabbbabccddd
+adbdabcacaacdcabdcccbaddabdcddbcbdddacdaca
+badccbaadaababaaadccbbadbbcdacacaccddddcbbbbdcbdcadddaaabaadabd
+bbbbdcdbbabdababbcadaadbbabdcdabaccbdabccaddadbbbab
+abcdacddadbdbbbccaddbbadcccacccbbd
+bbcacdbbcdcadaccabdaccdcbbcdbabbaccbdddac
+aaaabadaaadccccbbbabcaacaccccccabbacdbdabddbacbabdbadaaacaaccddacadddcccdacdcadbbcaddacdcaaccdbcdcddaadabbc
+adaacababbcbbccdadaddaacbaaaadcbacaaccccbadddbbabdcdcadcdabdaacbbcbddccadabbdccaccabbddbbbdabadccaabb
+adacabacbbd
+bbbbccadabbbcbcbabcaccdabccadcbbcdbccbdccacbddbabccaaacbadbcaaccdddbddcaaabdacbbbbacabbabcdbddcbacb
+bdcbadcdcccdccdbcbbaacbb
+ddcbcaccccbdadcddacabcabaccdddcccadaaadbbadadcbddddccaacaddaab
+bbbbcdbabcbdbdabccdadcadddabcccbbdababbadbddbbdbbbb
+dcbcadbaaddbacaabacabccbaacabcdadbacadbacdcbaacbdadadcadbadccdcdcaaca
+ccbcddcdcdcadaacbcdbbcbbbbbbbc
+cacccacdcddbdabcbbdccddbadcaadcaacacaddcbcab
+bbdaadddbcbaddbabbbddcaaaabccadabbcabdaddbbcdbabadcbbbccbbaabbaabdccbbaadab
+dbbddddcabddbddccbbadccccddaaca
+dbabaddcccbcbaaaaadcdacdcdcacdbabccbadcaadaaadccaac
+cdccccdbdbbdcbacaadcdccbddbdbbcdbbdcbbabdacbdddbbdc
+acdcbbddbbbdacdddbbcaacdddcbdcbbdacdadcddcdccdacbcadadbcbcdb
+abaddddccbdbcddbadaacbbdadcbcbddacbabddd
+abaadbcdcacdaaccbabbadaadadcaadbdcacccbcbbbacdbbbabacbdaacbbccdcdaaaacadbabccccdbcdccda
+addbbbadcbdcdaaaadaadba
+babccbdadabddbcacbbaacbacbababbbaaddbbbcdcbdcbadbabcadadbbadcacddcdcbdcaddbaaacaaaadabcbcaddcdcbbc
+daadbcbabdcadddaccbddacdbcacbdacbdaccaaaabaadbcbbcaadbbaadcbbbdabdaaabdbcc
+adddcdbdbacddddcadcbcabadadcdcbcbabcdcacb
+abbaccaadccadbbdddcabcacaccabbabbccaaccbadcddaacb
+adaaddadbdabbbabdadcdccaaabbcadbaddcdaddbcbdccbbccabcccddbddddadccbaadcdcbcdadadcbaaadbbbaabcccbcbdbbcbbdac
+bdcbadccddbcbcbcadcdadddcaabbbcccbbabccdcccabdbccbcdacbcdccda
+bcdadabacacadbbabdddadaadadaadcbc
+ccbadbaabbaabcacbcaddadcdbcddcdcdadaabdabddccccdcaddbbbbdddabbbbcdacddabbdcaadaaaaaada
+cccaaabbcbd
+dccbcddaccbbabcdadcddcacadacaddbaabdaaadcadadaccbabcabcbbacbacacaddc
+cdbacbdbbbbabcdcbdcdbcccabaaaaccaacaadbdccaddabbaabcbdaccbccc
+ccdacaaddbddcadcaccddbdaaaccdcdddbacbdddcabacdddbbacbdbbdaaaabcdbdacbabcdccbadac
+dbbaadbbdddbcbbcacdaddcbcdddbccdabaaadbcdaaabababdadacb
+dbbbbbdcbddbcacaccdadcacddabb
+cddaadcaca
+bdbcaacddbababdcaddcbadcbbcaaaaca
+abdbccdcabdbcdcaccddbccadabcbdcbaabacccacbcdbdddcabdbbdbaaacddcadcdcbaacbbabbdbddbbaaabcdbcabccbdccabdddccbc
+dadddadddbdcddbdcbbccdcdddcaabddacdddbccaaddbababcaacabcdabddaacbbddccabba
+dbbddbcaacbccbbcadacabdaaaaababdaddcdccaddcbdbcbbdddbcccbbcbaaacdddbadccd
+dabdbababdcddacd
+ababdbabaaddbdbccaabbdbcacddccbddacbccaacaadddcaadaadcccbcdabbbaabaddddcdccdaabbcbdbbccddaaddbddcac
+dbbdbbdbcbdadbbcdcddbaddbabcdabdbbdaaabcacdcabaaddc
+ddccdddbddccadcabccdbccccdaccbaadbdcdbdaabaccccdccacddcda
+dbbdacaabbacabdaacacdbcaabbaddbbccbcaddaadaaaabdccdddddbacbdabaaaaaabaabcccacccdaccacdddaaaacbdacbdbb
+dcdccaccdcdcbbccabdcdddbcccbcadaccabbdaaddabacbddbddadbcdcbbcbbdcacccabcccbdc
+ccbaccbbdbccadbcadddccadca
+dcababdbddbbdccbcdadccaddbdbbbcbaddcadbcacdccadaadcacb
+cddabddddbadadbccbdaadbbabdbdacddaddcbcdcbbadaabcadbadccdccadcacbcbbcaabcbcac
+dbdcddccabcbdaaadabadadcd
+abccbadacdccbbcdabacdcbdcbdccabddcdabbccadacdbcdbbddccccdacccacabdddddbcddabbdbaaddcdacdaca
+cbbbdcadbbcbabdadddbdbcbbacdabbadaacbbbbddbddccbbdabaaddcdacbbacaddbaaabcdadbbddcbdaccbccaddccbaaa
+abbcbcdcabacbababdcccccaaccaaacacccbcaaaddbddbdadaaabdbcadcacaccadbbddbc
+cbbbabcbdbbddbbbdbcbbcabaacddcaacabaabbacabacabbcdcadacaddcc
+cddbbdbbadbbaddccdacadabadadccabbdbbd
+bcdbddbcddacbbbadbbcddddacdcdcbbdcbbdddacccdabddbcdddbbccaaddbbaac
+daaaddbcdcadcdddbacbdbacccbbcdbddccbacdaccabcbdcbbbbcccbbcbadabcaaddbadaabdadbd
+bddbaabcdbaabcbbbacaadbcdadaddbccca
+cddbadccabaadccabaddaadddadabddddcccdabddaaadbcdbdccdadbbddcabbbcaccdddcbdbaaaabcdaacccbbaabbcdbbdccbc
+aabdbbadbdbdadadacabdbcaaccbccbcdbbdaccaaacacdcdbaaddababcbcdabdabccbbdcaddacd
+adbdccbaaacbcbcdaddbdacddddbbaabbadbdcbabdccaadaaacabdbabdcccccddcddacdadcddddaabdabcdcbcdcdcda
+adabcaaacdbaabdbbddaabaaccbdcdcdcabadcdccacdacddbcbbddbcdbcbbacdbabbcbadbdccdadbaddbdcacaabadcbbcabacdbbb
+bbdcaccbccdcdcbddaccabdcacacbdabdbabccaddaacdbabadcdbaabacdbbadabdddddcdcabaabaaaac
+aacabadbdbcbbccbabcbcaaabcadbadcdbdbadacadcbaacdbbccbbdacbadacbabc
+abcccaaadabcdbcaaccddddacdbcaaaacbadacbcaacaaaacabcbbccdaadbdbabccaabaddbcaadbcac
+bbabbabbacbcdbadddadddbcadcdabcbdbddabccabdbdcdc
+cdcadccbbbbcabbbbdacdcabdacbcddbccbb
+dcdcccdcdaddccacaadabbcdcdcabccdbbabbbcddbccbcdacdaaccccaabddcccabaacaadabacddb
+dbbcabbbccdcaacaabcdccdbbaadddabacacaacacdaabddcacccbaacbcacddbbda
+baaadbdabdadbdcbadaacdbbbdcbaaaabcccbbdbaddaccadbddacdddcdbcabdccdcbacbcccbcacbcddbcb
+dddaabbcaaabdcabaaaccbbcbdabaabdaacacacdccaccdbbcabaaabaaddbdcdbadaabdbbcdaabddbccdcaccdbccbaddaccd
+adbadadaccbddcaaacbdaaaaabacbdadcbbccdcabdcdcbbcabc
+cbbcccbaabbccacccdabdbdcaaadbbdcabdddbcbcccbbbaddbcacacddacccacaadcabcadadcacabddcbdadcbbc
+adcbabcccdcddddcdcd
+daaaccbddcddbdcaccbbaabbcdcbbbadcbabadcaabdaaacbacbcbbddbadbddbdabcc
+baccbbdbcabbbbddbbdcdbbaacdcdaaaabacacadbacdccadcabdbbdcbcabbacbcccbadddabababaabcddabdb
+dacbcddddcdbcadddcaaababcccbdcaabdbabdbbbbacdcaccbaabacaddccdbcdccbdbdbcbdbdacadccaadbbbacadabb
+badcabbbcdbbbcadbccddaddcaaadadcabacdcbaadcdacbbbcabcddcbc
+cccdaccacb
+caabacaaaabccbcbcbcbabaaabbdcbcdcccabdabaaaccabacacb
+babbcbbcaadbdabadcbacdcddcdbdcaccbdcacdbdaaacbbdccabcddacabadcbbaabcacbdcdcbdaccab
+bdabddabdcbdabacbcddccbcdcdbbcdddddbcbbbbbaadadcbcdaabcbdbdcdaaaabbbbccbbacdadcaacacc
+acabaaabbabbcddccaab
+bcdbacdaaadcdbaabdcccacdcadbbadabacbcabacadbdbbacacdcbddbaddcbcabacdcbaaddddaacdbcaacbdadc
+cbddddbabdccbacaabadccdcc
+dcbadaaabadbdabcbcadabddacaccdbccbabbdcbccaadbcbdbcdddbddbbaadbaadaadbadbabdcbacabadaccc
+adcaadacdccabddbcccbccccbbcdcbcddccccaddcdbdaaaaccdcaadcbbdbabdddadacdbacaadbbb
+dbcbccdcabcdbabdabcbcaccaadbabbbcbcabbbcdccacbcadacdcbccbbccbadabcbcabddaabbbcdbbaaaaaadcbcdcacdddbbabaabbadb
+cccdacdbddcbdddddaabaadcabbbcbaccadcbccabdbaacddadcdbacbadaddbacccadabcdaacddacbacbbabbbbcbdbdcddaddcbcbab
+acddcbddaccbcccaddacbaabbadbdddbabddadbacabababcaaadcddbbcaadbcadcacbbadcdbaabbdbdcccdbbcdddaacaddaa
+ddcbadabcbacddddbdaccaabbddcbaddbbcababadbdaddbcbccbcacdddcbcbbbbcbbaacdacabaadab
+daaddaadcdabaacaccdadabbdcabdbb
+baabdcdbdacdcdddcadbdddaaccccc
+aadadaaddccaacaacccddabccacaccccbacbaadabadbdacdadbdacdcbaccacabbdbcac
+acacadbacccbbdcaadbacbdccaacbadbabaadcdcbaacdbadbbcddddddbadabcabc
+caaacdcdbbcbbbbbbcdbacacabaabaddbcaaaabddabccdbbbad
+aacbcbbdbbcdbccacabccdacbcbcabdccdaaaddaadacdaaad
+addbbadcccbbccddcdbbadccddbacbccadccbbda
+abcdbbababbcbaabddbcddcbdacbcababdadababaacaadbdacabdcbdacbdddacdabdcdadbdbbccbacdcbbcabcdabccada
+cbbdacdbabdbbacabbbbacbaabbbacadadbbbbccddbccadcbcbabaabdacadadd
+cdbadcacddcbaaaaddbdcabcdbcdbabccbcbd
+abddcbdbababbd
+bdbbcabddaddddaaaacabbcdbdd
+bdbbbbcdcccbccbdcbadbdcdcaccacddccacadccbcadbcdbddccddddbacbbc
+cacabdacccacbdaacaddbdbbbdbacadaadccddcddbbdccbcaadadcacddbcdacadbbdbbadaacbabcbaaad
+dcdcaaabbdbbccacabdbaddcdddaacabccdbc
+bcdcdaccbbacbaadcbacdadbbadbabadccabbbddaadadcabdccdadacdbbcaabcddcddbabddcbaacbdddbbdccbbddadcbdbcbdbb
+cbcbcacaaabcacbcbadbccacdbdacdbcbadbbcbabcdccadbddbcbabbdcaddccdbbbbaaadaaaaaa
+dbcbbcdaadccbadccccbababbcacddadbdcccdccdba
+cacaadcaadabcddcddcbbab
+cacbacbcbaddbbbcbcbbaaacdaacccbacaaadccbbadcdbaaddadcabbdabccddbabacbddcbaadabbabcadabccdcbaadcdccba
+acccadacababddadbcbbdcdbbadaddbadaddb
+abcdaccaabab
+aabaaacbababdadcabacadbadda
+bbbaaddccbabba
+badcabccbdccbdadbababcacdccddbdbaacbcadbbbacdacaaccdcdadabdccbcbdcbbaddcdadaa
+bcddadcbcdbadbaabdbcdcacddbadaabadbdcbabbaaccdbdaddacabaccabcbaacdddacadaacaccbccdcbbcdbabccaccd
+cdddcabccaacadbccbdcbdacccabbadaddbbbbacbdddcbabdbdaabccaacddbcacddbcaaaababaacbccaacbacdcbccdcac
+dabadbcdbcdaadbbbcaccababbcdad
+babaacdddbacddccbaacbaadbdabadbbdbdbdd
+dcbdabdabcb
+abbdcbddabaadddacababdcacadabbcbcdbdccbacbdaaadcadcadbcbddbccb
+daddabacbbaccacadaabbcabbadcdaababababddddcdadaacddacaddcacbdbacabbdabbdabbbcd
+dbabbbdccbdadbbaacccbbbcbdbcbdadccacadbacdaacdddcbccbdbabcddcbacbabbcdcbbaadbac
+aabbddccddbcdbcababaadbabbdbaacbccadadabdcdbaddcddcaacdadccdaacabbcaabcbd
+abcbdbbcbdaaaacbaddbadabcccbcaadbdabdaddcacdabababacddbbdbbccbdd
+bacdcbdabbaacaddadcabbbcacccadaaccaccaadcbcabcacaabaaccdcdbcdadcd
+baadbabdbbdbbcbabdddbbbabddbbcdbabccbadaaaccdcadabbabddcbabbbc
+adbbdccdccbadbabccbcadaabccdbdcdddccdddaba
+cabdaacdbcbacccababccbbccadbacdbddaabdadbdbaddaddbbbabcdcdacbacaccadcdbdacdbadcdbddcaddaaaaaccdccb
+adcbcabcadbdadbadcbbdcaccbcddbabdbdcddcdcaabdccbaaccbdcdcaabdacccbacdccbbddbcbadbdccdaabbba
+dcacdbaddadbcabbcbcbddadabaabdcccaa
+adbddacadadddbdccccdcabbcdbbddccabaccaacccabbcdbddacaabaccc
+accaacccbcbdaddbdacdaddbaaccdbdbcc
+aadbacabbbdaaabbcacaddcaadba
+bcdaccadddabab
+abdaddbbacaacbcbdbcaabcadaaaccbcbdcadbabbdbcccbbdcadbadadbcdcccbadcbbdbbdabacacdbdddbd
+bdcbacdaab
+bbcbccaaaacbbbadbcaadacccddddbdcbccaadac
+adcbabbdaacdcddabacdbcbbccacbbcac
+cbbcacdbcdabccbbbccbabbbdbadabbddbdaba
+bddcadacdabccbcdddbc
+ddaabdbbbabccdcdabdbccdcbacdadbdbcbdaddabbcdaaccbadbcaddcdbaccdcabcbdbbdabcacccab
+aadaadacadcccadacbdbdcdcbccbadbcb
+daacadcdbcbabcadbcdbdcdcbabdccbbb
+bbacdcbdabadcccbddaacaaddaacadbaccdabcacdcdcacadadaacdcddbcdaaccabdbcaacaacabcabcdccabad
+abbbbbcbadcddadcabcbdccdcbbcdababdaddddcdddddaca
+dbdcddabdcdbabacbdbacaaacaadcdddcabaddcbaccbcdcddcbadccdbbcbdbdbddbdcbaccacbcdbaccaabddddadbcddaadcabaca
+ccaabcaabbdaabadcdbdba
+ccbcbbddaaddacbdbbbdababbbdbdbcabdcaaccaaadbacdbcbcdadada
+cbaccbaaabcabbbacaaabcccaaabcbbbbdcdbddacdacddaccc
+dcbaaacddbdcbbbabcbbbcdddbbcdabbddaadacacbbdaccadbdbddbdccabcdddbdabcddbbbbacdcadbbbdddbcababcbbccbb
+dbadccabbcabaccdcbdcaccdcbabcdbdcadddbcdacbccbdccbcddbaabbbcbadacadcdaacacddcddbbbabbddbcc
+acbbabbbabdbdaacdbadcddddd
+adabacddcdacbbabdccdbdbdcdbcbccbbbbcadaddddabdaabccccadb
+acabadbbadcddbbaaabcabbccdbbaab
+bdcadbcbcdcabbdaddccccadadadbcdacdabdadcbddaccdadcaabaacadaadbcaadcdcbadccaaabdbbacbcbdadb
+aaadbbbcccacbcdcbdbbdbbdadddadddcccbaabccbadcdccbdadcdbddaacacddbaaacccddcbaddabddcdbdcd
+bbccaabccbaacbadbcccdadbabaadccadcddadaaacdbaaddbbba
+cdacbbccadcdbabcdabdbdacdbcabbcccccdcaacbdbcbcccbcbccbbccbcbabcdccddd
+ccbacdbcadaadbbdcdaccaddccacb
+247 165
+bbbaccaaabbaabbbbccaccbcbacacbbbcaabbaccacaacabbabccbbbbcabaccbcc
+aacabbbaaccbabacbac
+bbaabaaabcbacccacbbccbaccbcabcbbabbcaaaaaccccacacccbcbcacaaaaabbcbbabbbaccbbbabccababcca
+abcaccacabcc
+ccbbbbabaabccabbbabccaaabccaaabbbcbbcaabbcbccacbbcbbabbbaa
+caaabaaabcabaaacabacababcaaacabac
+accbcaacabaaacacbababbbaccbaaaabbaacbabcbabaabbabbbc
+cccbacacbbccabbcacccaccbcbabaaccccbcbaccaaaaabbc
+bbbbabacacbcbcbabaaacccbaaccbaaabbabbcccb
+ccbaccacbbabbbbcbacabbbcbcabcaacbabbcabccaababbaabbccbcacbaacbaacbaacacbcabccaccbcbbacaaabbcbacaacc
+ccabbcabababcbccaccccacc
+ccbcacabbbcbccbbbacbcbbbcbacbacbacaac
+acabcaacccbaaaaaabbaaaabcabbcbbcbabaccbccabbbbacbcababaacabaaacaaccacbcbaacabccbcccaaccbbaabacb
+aaabccaacccbaccccacccabacbbcacbbaabbabccbacaa
+caaaacacabcbbccbabbcacbcacaaacaabaccababcaabbaabbbbcccbbbcbcbccacbabccabbcacabbcabbcbabcbbbcbacacaacbacab
+bccabacabcbacbccaaabcbcaacccbcaaacbacbcbaacbcccaacababacabbaaccbbbccccbcbbcbababaabbaacccbaa
+bcbbcbcccbcacacccccbbcccbccaaaabaaacaabccbabbcbbabcccabcacaccbbbacbcb
+aabccabacacccbbccacca
+cbcbcabcbbbbbaacabcabccbaabbacabcbbcabbacbbcbbaabbcbaaacabacbbcacaaabbbababccbcacbab
+aaacacbcaacababccacccbbbaaacabcaabbabcbcbbbacacbbbbbbbababcaaccccbbbbbbcbcccbbcbabcabccabacacbbabcaaaacc
+acbbcbbacccbaaccabacbaaacbcaaabacbacbcabccbcbacbabcbbacbabaaaccbbabacccaabababcaaccabbaacaacbccbb
+ccabaaaaccabcabaaaabaccbbacaaacccbbccccccbccaa
+bbcbbbbbcbcbbbaabcacccaaacaccababbbcacb
+ccaccccaaaaabbbabccbbccccabcabccccbbcaccababcbcacbaaabcbcbabcbaacaacbcacababaacccaaabab
+bbacbaabacaaaacbbcabbbcabbabababbcaaacacabbaccbacbbaabbacaacaaaaccbbcbaaabbcaac
+bbbbcbabbabbccbbbcccbccaacbabacabbaaaaccbbccabaacaacbcabccaaabaacbcbbcabcaccb
+baccaacccbabaaaccaabbabbcbbbccaacbcbacbbcaabbcccabbacabbbcaccbcabaacbaccabacbbbbabbbaababacaabbcbacac
+abbccabcbabbcabcabccabbcbacbcacbcaacaacbcbcbabbcccbaacaacbcbcbccabacaaacbaccbccccabcabbcabbacacaabcbb
+bcaabcccbaabaacbbcabaabbbabcbcbcbbccaccabaacbccbacabbcbbbaababcabacacbbcbaacacbcbbacaaca
+ccccacabcbbb
+bbaacaabacbacbacaabcbacaabacbcccbbacaaaaacabac
+baacbbacccacbcaacaabccacccbcbcccbcbaacccbccccbbacbcccacaaaabcbbacbcaacabc
+aaccbcbcaacabbaaaccbcbcacbaaccaacbcbacbaabbcabacaaccbccbcaabaccccccccccacab
+cabbbbbacbacbcbcbcabcacbaaabacaaaaaaacbaaacbaca
+ccccacbacacbbabbaaabccbaabbbabbacbababcacbbccccabc
+cbabbccbbbcacbccbcbbaaacacacbaaaabcbacccacbacbbcabccacbaacbbbcbccbabbcaacacbbacbcbbabaaccacaabcccaababb
+abbcabaaaaabcbcbbbabcabcb
+aacabbcaabbbbabcbaacbcabbccbaabbaabcbcccbbbabcaaabbacaabbb
+ccaabbbcbacaacabaabbcbbbbbaaaabccbacbcaacbaacbcbabaacbababaabbcbcaaabbaacbabaaabbacaccacbabbabaabbaacbaac
+baaaaaababbcbcabaaababcbbcaccabbabbbcabccccbcccccaaabbccaacbc
+abbabcbbccaaaabaaabbccbcccabcabccaabaccccbccbccbbbaaabbbcacbbacbcaaacbabcbcaabbabba
+abbabcaccabbbccacaaaaabaabcc
+ccccbabaaabcbcbbb
+cabbccabcbbcbacaaacaacbccaccccabaabbbbcaaaa
+cbbbbbacbacbcccbbababaacaccbcacaaccbcccbbbcbbbbbababaabaaacabbbcaabcbacaaabbbb
+baacbabbcabacbbaabcacbababccaabcaacbabbaccccbaccaacccbabbccabbbabbbababcaaababca
+cacccbbbccabbbcaabbaaabcbccaabcbacacbcbcbbccbacaaaabbbbbacbccaaaa
+cbbacacbbcaccbbc
+aabaaabaaaacbabcaccbbbcbacbacbaacbabcacabacbaacabcccabbabbccbacacacbbccbbcabbbcbbaccccccc
+cccabaaccbaaacbbbaacccacbcabbbcbaccbbcbbbabcbabbbbcbbaabcbbacbbbabbccabaa
+aaaabbabcaccabaaabbcababbcbccabaabacbaccaacabcbbcccababbacbabcaaccabbabcbbcccbbbbb
+accaccacbcaabcbbccbabaacabacbabccbbabbabaacacacbbcababaacbcaacbab
+baaccbacabaacabaabbbacaabbabaaccacccbc
+cbcbcbbaacabacccaabaaaccabacbabbacacaabaaacbbaccbaacaabbbacaccbbbcbbabaabbacbcaccabcbccbcabaabbbbaabca
+abbbbcbbcbaccaababa
+abbacabbccbcababcacacacbbbaccabcbcbc
+bbaaaccbacbaabcbacccabcbcbbbbaccabbccbcbccabbccccbc
+acabaccaabacccbcbacbbabbaa
+bacccbbaaaccabacbcaabaabbaccbccabaaaacccccacccacbbcbbacac
+bbbaccbcabcccaba
+abcabaaacbbacabbcaccccbbcbbabccbaaaccaca
+babbbabcababbbcbaababccabbbacbcbbaaacacabbbabbcabacaaababcbbbbcbaabaaabacbabcaacbcccbcaacbbbcc
+cacabcbcccaababbcccabbbbbccbcaacccaccbbacbcccbcabbbabcbbccbaabbbcabc
+aacabbaacaaabacacabaaaabacacaaaaccaabaaaaacccabbcaaabaabaabbcacbbccccbcabacbabcacbacccbbcabbaacbcacccbbbaab
+bbcbbbacccabacabcacacacbcaaaabcbcbaacbaabacccbcbbc
+cccbacbbbbbbcaabbcabcabaabbaaacbbbabbcbbcabacacccacaccbbccaaaaaaaabb
+acaaaaaaababbcacbabaabcacaaccbcabbcabcacacbaacbbcababaaabaabbcbcabcaabbbcbbcabcabbbcaaccbabbca
+acacbcaccbbaacb
+bcbaabcaccacbabbabcbbbbbbbbbcbabbababbbccccabccabacccbacbcccaacabcbcaabcabaaccbabccccbccacabaaabacb
+cbaccacacccccccacbccacbbcbbbcbcccabcacbbccbbcaacb
+baaacacbbbcacbccbcbcbc
+abaacaaacaabcbbaaaabbcacabaababbacaaaabaacc
+baaabbababbbbcbcaccaabaabcbcacbabaacbcbbacaaccccaaacccbaacbbccbccbabacccbbacabcb
+baccbbcbabcccaababcabccaccbbbbbbcbacbcaacabbccb
+bacbcbbaacbbcbccbaabaacacaaabbbaabcacaccaccbacccababcacc
+abbccbbaacbccbcbacbbcbcbbcccbb
+babaccbabcbacbabbaaaccbbcacabcababaaabbaaaabaacabcaabbcaabacaacbcbcbabcbcacccacbcabbbbcacababababbbacaaaabca
+cabcbcbbccbcbcbcaaabbabccbabbbcaccababbcbbbabcbbacbabccabcaabbabbbcbccbbcabbbaaababacccabbcbcbc
+cbcccccacbccbabaaacacccbcccacccabaababaaabaabaacaabcaaaabaacccbbabbbcacabcacaaabcacbaacaabcccccacb
+acbabaaccabccbbbbcabbcbabcccbaabccacbbbaccbbbcccccaccabcbbacaacbbcbacca
+acabbabcaaabacaaabcbcccbbbcaccaccbabcacbbcaaccbbbbccabbaacaaccabccaacbcccacbcbbacabbcbabbbc
+aacacbbcbaaccacabaacababbbaacabbbbbcacbaaacabbabccbacaaaaaabcbcbcacabaaabbacbbbacbabba
+cbbcabbabaabbcababbabccbbbbaaacbabcabccbcbabbacaaaccbbaaabcbbbccbccbabacbcccabbcbccaabbcbcbabaa
+abacbabbcbcabcaabbbacabbcccc
+caaaabbabbabcaacccccbccaabcabcccaabbbbbabaacacaabbbabcbbcacbbbcbaacbbaaaabcbbcbabbcbcbaaacbbacaabaaacbcaccab
+caacbabababccacbacabacacbaabcbacbccbaabaccbbbbaabaabbcabbcaaacaacbacaabbccccaabbaaccbaabbbbbaccccbcbbbccbab
+cabacbcabcbaccbccbbacaccbbbaaccaacaaaccbbcbbbacacacccbbabcbabab
+bacbbbccaccbbaacaacaabcbacabcccacabcccbaaabcccacaabcacbcabcbaccbbccbaaaac
+cacbaabcaccccbbbccbcbaabbbbacaacaccccaabcabbbbbc
+cbaacabaabbabaccbaabaccbaabcabcababaaabcaaccacabcbcccbbbcbbcabbbbcbcbbcbbaaaaaba
+cbbababbcbacccccaccbcaaacaabaacbacababacccabcccbaabbcabcbbcbcccabccbaaacbbbccabcbbcbccaaaacabacaabbc
+bcbccccbaaacaaaabaaacacccbaccbaabaaaabaabaacacaabbcbba
+aaccaccbaccbacacacaacbacacbbaaccbbaacbaccaaabccbbcbbbbbcbaabababcbcccbabbbbabacabbaaacababbbbbccccabbbaabcc
+ccbcacbabbbcababccaabcbaaabacccaabcbccaacbbacbcabaaaabac
+aacaaaabaccacaacbbbccbbcbcbaac
+caabbbcacbbaacacaccbcaaccbaaacacccccaabbcacaccaacbabaaaabbabababbbaabbababcbbaabcaaaaaaabaaaaaca
+aaacaaaccccccaabbabcaaaabaabcabcbccbabcbccbbccccccbabccaabbccaccaccaabacbcacbbbcacbcaababcc
+bcacbcabaabcbcccbabbacacbcacaababbcbaacacbbccccabbacbacbaabcaacbcacaccababaabbaccaacabaabaaac
+bbacbbaccaccbbcccccbbaacabaacacbcaabacabcabcbcabccabacccbbbcbbcacbabccccbbbbcbccbbbbccacaccaabccbbb
+aacccbcccacaacababcccbcabbbbcaaaacabcaabaaccbaaaaacbabccbcaacaabaaabbacaacababacacbabbcbaabcaccbabbabaccb
+aaaababaaabaaaabcbabccbaabbbcbbabcccabcbcccababacbbbabcbca
+bcbbabaabcaaabaaacaacccccacbccabababaacaacaabacbaacbbccbcbacabcaabcaaabbbccabbbcabbabbabbbcaacccccbbcaaccaa
+caacaabccaacbabaabaacbaaab
+acccbccccabbcccccaccaaccabbaabbcccbabcbabcacaacccababcaaaccaacaacacacaccbcaabaaacbbcbbcacaaabcccc
+ccaacaaaaccccbcbcccaaaaabbcccaabcbaabbbbbcabccabbaaabcbcaabababacbabbbabaaaacabbcbacacaabbc
+aaabbcbabbbbbaacacbcabccacbaabbbabbbbcbabbabbbbbbbcbababaaccabbccbacaaccbbcc
+bccacacccccbcacabbc
+bbabccacacbaaccacaabbaababbaaabababb
+bccabbbccbbabcbbcbaacbabbbababbcbabcbacaccbbcbccabaaaabbabaaacbcacaacabbbbcbacbaaba
+bcabcbbabbabbcbbcbacbbcacbacacaaaaabcbaaaabacbacccbcbccbcacbb
+ccabaaaaccbbacbaaaccbccabaccbbccbabbbbcacaaaccccaccbccbabcabccaaccacaacbcabcbbbcbcbcaac
+baabcbaacbbcbaaaaaaababcacbccabacabcbabacabccbabcaaaabcccccbbabaabbaaabaababbababacbabcbcbccacbb
+accccacabbabaaaabcacbbbabcaaccbaaababbcbac
+bccaaabbbbcbabbabbbcaabcacbbcbabccccabbcbc
+bcaaaabaaaacbccacbbbbccaaabcbcaaaccabcaaacbbaabcbbbbcabc
+cacacacbabacbcaccbaabbbabababcaccaccb
+bacbbabababaccaacbcabccbbacabccbbaaacccbaaaaaaab
+cccccbbbbcaaabacbcbcabaaaacbbbbcaacacccacbbacbb
+bbabbcbbbaccccababccabcaacaaabbcabcababbbabbccaaacaaabbcbcaacacacabcccbbcabcabcbbbccaaaaabcbccbbaaaa
+cacacaabcabbaaccbabbcbacbbbcabcacccbaaabbbbcacbbbccaccaccbbabbabbacaaccaaaccaccacabbcacbccbabbcacaaccabbbba
+baabcbacbccabbcabca
+accabbaccabbcabaaccbcacacccbbacbcccbaabbbcbbabcabccbbabcacaacbacca
+cbaacbbbcaccabaccbcabacabaccaabacacaaaababccacacccbbcbabccbcaaabbcaccbcabccbbcaacaabaacbcc
+bccbaacabb
+accacbabaabaaccbaaacbbbcaaaaccacacbbbcbbbbbcbac
+abacbbaccbabbcacbbccbbccacbabccccccccccbaabccbcbbcbbabcabcaccbcbbbcbbababbcaaaabccaccaaaabb
+cccbbbabaababbccbbcacaacccacbcacbbbbacbacabaaabaababcbacaaccccacbbcbcacbbbcbbaaaccbbcbccabaabbcacbabccc
+abbbccbcbaacaabbacabacbbacbacabbcaabaccaaabcaabacaaaabccabccacaca
+aabababbbcbabcaaabbabcacccacacccabacbcbbcacaccacccacbaaacaaabcbbcccbcaaabcaaabbbbcbbcbbbbcccccb
+bcbccccbcacccc
+abbbabccabbbbcbcaacabcacbbcacbcbbbbcbbccbabbcbccccca
+acacacbbaaabbbaaaaccacbcbaacbcacaaacacbaacbbcabaacbcccbaabbacccbbcaccccbabbccccbc
+cabcbcaacacbbbcccbcabcabbcbbbcbbcccaaacbbccccbcbbbaabaaa
+cbcccacccbcaac
+abcaaaabbcbabaccbacabbcbbccabcbcaacabaabbccacaabcbacbabb
+bbcbbaccacaabaaabacbacccccbacabbcabbbccccbba
+bbccacaccbcbbabcaaabbbaaaccbcbbcbacbbaaaba
+bcaccbabbbbbabaaccaccbbaacaccbbbbcccccccbacbbbbaabcacacaacbcaaacbbabccaaccaacccbbcbcbbabbbabccccacacac
+abbbaacccabaccccbbababcccccbcacabbabababaabcabaccbabbaacacabcabacaabbaccbcbccaaaaabbaaac
+bbaabbcbbbbbbbaacbbbbbccccccaaabccaacaaaaabbbaaaacbcaabaaaabababcbbbacc
+ababbabaccbabaaacacacbaabaccbbbbbbbcacbccabccccbbbbbabccacbcccbaaabbccbcacabcacabcccbcabccabaaaaba
+cababaccaababbbbbaacbbcbabaccabaaccccabcbccba
+abbaabcaabbccbabbaabcaccabababccaabbaaabcaaaaaaabbbacaabaac
+acbbbcacabbbaccaacbaaabcbacbccababccababccbababbaabbccccbc
+cbbabcacbbcabacaaaabbcabbacbacabbccbbbbacacaababaabbccacaacccbcaacccacbbcbacbbcbcaacacbaabac
+babccccaacbacbbabaccababbaccbcccacbacacacbbaabbaaaaabcbaacbbbbbbcbbcc
+aaacaaaacabaacaccacbabccbaacbbbbcabcbccbbcbabbabcbcaacababaacccbabbcabacacbacbabcbcccbbca
+aacaaccbbcacbabacaccbcabbcbaaacababcaacbaabacacbbacabbc
+aabaccacabbabaaaacccccabccbcbbcbccaacaaaacaacbbbcccbbabaabcbababaaaccbaba
+abbcbbaabaacaabcbbacbaabaccaaabacaacbcbabcbcabbbabcabbbaccabbbbcbabbcabbcacabaaaab
+bacbbabcbcabaaccaacabcaaaaabbbcaacaaacbccacbabbcbabaccabaacbcacbba
+bcaabbaccacccacbbabbabbccccc
+cbacacabababccbcbcabbcccbbacccbcabccbbbcabbccaccbcababcbacacacacabbccccbcacaababbac
+caacacaccb
+cbbabaababcabbbbbcbbacaaababbaababbababcbaaccbaaccbc
+ccabaabaccbcaabacacccabcbabcabccaacbccabcbaaaccacbbcaacbc
+cabacbcacaaccacbcbaaababccaccbbabbbacbccbcccbaabccaabbbbaccbcabaaaaacabbbabccccabcccbbcbcccababaabacab
+bbacaaabbaaaccbacaabcbbaaaacacbcbacbbbcbccbacaac
+baabaabacbcaacabbacaaacaccacabcaacbcbabbbaabaccabbaccbbccbacbbccbbbbbcbbcccc
+babbcaabbccbcbbcbaccbccbaabcbbcabaaabbcaaaabbbbccbcbbbccaabcabaacccababbbabcbcb
+bcbbbaabbbaababcaaaccaccabaccabacbccbccabbacbaabcbacacccacccabbacaccaaaaacbaacbab
+cabbbbcbaaccbbbbaabaccccabaccbccabcbaac
+bcaccacbbbaaabcbcbbbbbbbbbccccbbbcbcaa
+ccbcbaabacbbaabcacaaccaabbcbabacbcbcbbabcbbcccbbacbaabbabaaccccbcaccacacbaabbbbaaaaacabaacbbbaacbbb
+abbbcbabbbccbacbb
+cccbbababcabcbabbaaacabbccaacaacccccaacbaccbaaabbbabcaabaaccbcccccacbabccaacbaacaaaccccabbcabc
+aaccabbccbaacaabcaaaacaaabaacbaacbcaaabbbbabbccbbcacaaabaaccbbbacaccabcaacbbaacccacacbbabcacbaa
+cabcccbabacbbaacbb
+ccababbbacacacbcaacccccaaaaabba
+caaaccabbabaacabbcabaabcabc
+cababcbcbbbbabccbcabcaccbacacabbbabcabccbbbaa
+babcbbabacccbaaccbaccbccbbaacbcbaabbbbcbbaccbacbbcccabaacacabab
+cbacccbcbcaaaaabcabacbcbbbccbacacabbbbccaacaccacbabacb
+acaabcbbbcababbbaaccacbcbbbcaaaa
+baabbbcbabcccacaccccbbabbbcbcbcabbbcaaca
+aabcaccbbcabcccabbccaabaacaaabcaaccaaabbaacabcaabacbbcbbaccbbbacbbccccacbababbaccbbbccaabbcaaaacabaccb
+cbaacbbccccababaabbcabcbabacbbbcbbbabbaaaabaccbbccca
+aabbcabaabbcbccbaacaabbbcbbaaaccbbcababaababaaaaccbbcaabccabcbcabbbbacabcbbbbbabcbabcccaccaabaaabacbb
+ccbbbababbbbaaaacaabbbbaacaabaacbacbbc
+cacbbaccababaacabacaac
+cbbbaaccabbbbcaaccbabcacbaaaacbbcbbabaacbbbcbaacacacabbbbbbaacabcbcbccccbabbcccacaaabbbabcaabbaabbcbbcaacc
+bacaccaabaacacacacbcaaaacacbcbbbcacbbbacccbabcacbcccbaaababaacacccaaacbcbbaacbbcbcacacbbc
+babaccaaaccabcaccaaaacbcaccaaaacacaabbcaacbaabbaaaccabbcbbaa
+cbcaaacababcbabccbacabbaaaabbaabcabaacaccabbcbbabbbcbcccbbabbbcabbbbccbaccccbcccabcaaaaacbcbbbbccbbbcaca
+cbbbabbcccbbcbbacbbbabcbabbbcbaacaabcaabccbacbbabbcacaabccabbcabacca
+aacbaccccbbcbcccbccaccacccbabbccacacccbccbcaaaaabcbbc
+cacccccabaaccccaacbcabaababaababaaccacacacaa
+cbaccccacabcbbcbcbcacccbababbcbabccbccbababbaacbcccabaaacbabcacbccccaaa
+cbcaaaccbabbbcaaccababccbbaaccabcbbbcaccbccbaabbcabcccbcabcbbccbcaccacaaa
+aaccccbccabcbbbaacbc
+cccabcbcbbcbcbcacccabbababbaaaaacbbaabbbaacabaabacabcbac
+aaacbacccaabbaacacbcabbaaabccacbaaaacbcbacaccaaabacabacaac
+bcccabbaccbabcbbbbcaabbcabacaacacbcacbacababaa
+cabaccbccbcccbaabbbcabbcaaaccbacbccacaa
+baaaabbcaaabcbacbccacacccbcbbccbaaabaabcaabbcbabaaccaacccbaabaacabac
+aabbcbabbba
+abbcbaacabbaacbcccbccbbbbcaaaacccacccabbccbaaccccbcbbbbaabbcabccbbacacacbbbbc
+cacabbabbbcccbbbbcabbaabcbbcbaab
+baaababaaacaccacaaaacbccacbccbabbbbbaaaaaab
+ccacbbbbcaccacbbacabbbbbaacbbcac
+cabbccaacb
+bcbbcccbaaaacbabcccabbabcacbacbaacbacaacbcaabab
+acbcbbacacabaaacaaccbacacabcbaaaccbbcbcaccccaaccbbbbcacbccbbaababbcabcc
+cabaabbbababcacabcbacbcaaaccb
+accaabcabbbaaaacb
+bacbccabccbcabbccab
+bcbcaacbbabcabcbbccaabc
+bbccacacaaabccccaacbacaaccbcbcaaaabbbbabbaccacacabababbabbbacbbbccaccacccabbcbbabbcbbbccaacbbaaabc
+caccbbbbacbbabbbababcabcbacbbacbccbbbbcbcbbacaaaa
+cacbabcccbbaacabaccbaacbcacbacbbbacccaacabcbbbcabaccbaccbcba
+abccbbcacbacabcbcbabaabccabcabaabaaaaac
+aabcbbabbabcababbcbaaaacaabbacabccacaaacabacaaaabcacbaccbcbbbaacab
+abcccccccaaaabcbacaaabccbabbcbcabacababacbbcccacabaaababbaccacabccccbacbaacbcbcabbcacbcb
+cbabccacbabcbcaaacbcacaabbccacbabcacabbcccbccabbcbbcacbcca
+aacaccbaaaaabcccbcbaaaabbccccbcaaacbbaaacbacabbabbbabccacaabbaccaa
+bcccbacaaacccbaccaccbbbaabcbcccccaabacbbcbbbabaccbcbccabaacccabacacbbabbcbccacbaccbacbcbbcaaabcabbcacaccbaa
+ccabbbbaacbcbbcbabccabbb
+baabcbbbcbaaabacccccbbbaccbacbac
+acbaacacccbaaccccaacbbcbaccaabbaacacbabccbcaaaabccabaacbabbcbccbbcbaaaabcaaaacbbaaabbca
+accbcaccabbababacbabbabccbaacbbcccbccbaaaacbacacbbcababacbaacacaabcaccccbabaaaaaaabccbcaaccaaaaabcccacbc
+abbbbaaabacbacccccb
+abacabbbacccbcbaaababaccbbabaabcacabbaccbbcacb
+baacccaacccabcaaaaacacaacbbbcbacaabcacbaababcabaacabcaaaaaacbaaccbbbcccbcbbacbccbbabbaaaabbcccacb
+baabbaaacccbcacccbbccccacccccca
+cabaacabcaccaacaaaacaaacbbaaabacaaaaabbbc
+bbcbcabaaabaaacac
+abcacabbbcccbbcca
+abbbbccccaaaacaccbbabbccacaccacabcbacabcabbbbcbbcccababbbaccaabbabbacbbbacbbccbccbbbbcbbcccccbbbaacab
+accccbbbbabccccbbccabccacbaaccbaacbcccaabbaabbaabccbabbcbcccaacccaabcbcccbabbcacccbccb
+bbccbcccaccccbbaacacabbbbcbacaaabacbcbc
+cbacbaccacacccacbaaacaacbbbcbaabbaccacacbccbcacaaaaaaacbabaabcbcbbcacccacbcbcbbacbbacbcbbcbbcba
+cacaccbaabaaccacabaabacacbabbaaaaaabacacbbacbababcabcbaabcbcbcbaaaccbaaacbccba
+caaaaabcbcbcbacacbbabbabaabababbccccbccbcbabbbbacacc
+bbccbbcccbabacacccacbabac
+baacabacbbcbacbaabbacbaccccababbbcbacbbcaacbbcaa
+aacabbcababcababbabcaaabaabababbbcabbbbbcacccccaabcacabbbccbbcaabbcabcabccacaacbaacaa
+cbaabbabbccbbcaabcabbcaabcbacbbcbccabaabcccbbccaacbbabacaacccabbbababcacbbcbbcabacbac
+bbbbabaabaccbaabaacbacaaacccbacbbbbaabcccabbacccbbcacbacbbcbabaacaccabaaccccabcbaabbccccbababbaabaabcaa
+babbbbacbbccbcabbacabcccbccacbbbbcbaabbbacccbabbabbcaaaacaccbbbcbcacaccaacccbbccccbbbbcbaccabaacabacabaccca
+aaccbaaaacbba
+acabaaaccacbcacbaaaacbbabbcacaccaabcccabcaccabcabbabacaabacabccabcbcacacbbacbbcca
+acabaaaaabaaacabcaacacaabbabacacbcaabcaabaacccabbbbbcababaccabba
+bccbcabacbaacacbacbcabccabbccabbaaaaccaabcaaaacaca
+cbcacaacacacabbabaaaaacbcbbbbaacbaaaabbaabbaacacabaaabcacabccbcbcbcabbbcacaccbcccbcaccacbabccacccbbbb
+aaaaccaacccbbbbbcacabcccc
+acbbabacbabacbababccabcbaabbcbababbb
+caabacbaaaaacaabbbbccbbccb
+78 50
+bbaaababaabbbababbbaabbbbbabaabbbabaaabaaaabbababbbbbbaaa
+abaabbbbaaabbabb
+abaaabbbbabaabbaaaabbbbabbbbabbbabbbabaabbb
+aabaabaaab
+abaabbbbbbabbbbabababbbbbaaaabbaababbaaaaabaababbbbbbbbaaabbabb
+aabaabbbaaabaabbabbabaaabaaaaaabbbbbbbbabb
+aaabababaabaabbaaaaabaaabbbbbbbbabbababbabbababbbbaaaaabababaaabbaabbbaabbabbaabbbbbabbaabaaaaaaaabba
+aabaabaabbbabbbbbbabbaabaaaabaaaaabbbbaabbbbbaaaaaaaaaabbaaaabbbbbbbabbbaabbabbbabaaabbabbbbb
+abbbbaaaaaaaabbaaabbbabbbaaaaabbbaabbbbbaaaabbbbbaaabababaabbbbaabbbb
+aaababbbabbbaaabaaaabaabbbaaaabbbbbbbbabbaaaaababaaabababa
+aaabaababbabaabaaabbbaaaba
+aaabaaaabbabbaabaaaabbbbaaaabaaaabababbaaaaabbaabbaaaababbbbbbbbaabaaaabbbaaabaaaabbbbabba
+bababaaaaaaaaaaaaabaa
+abbbababbbbaaabbaaabbabbaabaababaa
+abaabababbabaababbbbaabbbbaabbbababbaabaaababbaabababaabaaaaabbaaaabbaaabaaabbabaababbaaaa
+abaabaaaababaaaabbbbbbbbabaaaaaababbbabbbbabaaaaaabbbaabbbba
+baabbababbababaaaaabbaaaa
+aabbbbaaaaaaabaaabbbababbababaababbbabababaabab
+baabbabbbabbbaabbbaabaababa
+aabbabaaababababbbbaaababbbbaabbbbabbbbbbaabbababaababbbabbaabbb
+aabaaababaabbabbbbbabbbabaaabbbaabbababbabaaaabbbbbaabbbabaaabababbbaaabbaba
+abaaaabbbabaaaaaababbabbabaaabbbaaababbbaabaaababbabbbbaaaabbabaababbaabbbabbababbab
+bababaaaabaaabbbaaabbbbabbbabbabbabbbbbbababbbabbbbbabaaabaaaa
+abbbbabbaaababababbbbbabababbbbaaababbbbbaa
+bbbbaabbbaababaaaabbbbbaabbaaaaaaabaabbbaabbabbaaaaaaaaaabbaaaaabbbbbaaaabaabbbbababbbbabababb
+abaaabaaaabaabbbbabaabbbabbaaaaabbaaabbabbbbabaaaabbabbbaabaababbbbbabbababaabaabaabbbbbbbbabbbbabbbbbbbb
+babaabbbabaaaaaabbababbbbbabbaabbbbaababbb
+baabbaabaababbbaabababbbbaabaaababaabbbabbaaaaabbbbbabaaaabaabaaababbaaa
+aabaabbabbaaaaaaabaabaababaaaabbbbbbab
+babaabbabaababbbabababaaa
+aaaaabbbabaaababbaabbababaabbbbaabbbbababababbbbabbbabaabbbabaaabbabbaaababbbaabbbbaaaababbabb
+abbbbabbbbabbaaaababbabbbbbaaabbbaaaabaabbbaaabbbbaa
+bbbbaababbabbaaaabaabbbbabaababbbbaaabbbababaabbbaaaabaaaaaaababbbaaabbabbabbabaaaabbbb
+aabbabababaabbabaaababbabaaabaababbbabbbabbabaaaaaaaaaabbaaaabbbaabbaabaaabbbbaa
+bbabbbaaabaaaaaabbabaaaabbaaaaaababbaaabbaaaabaaaabbaaabbabbbbaabbbbbbaabbababbaaaabaa
+ababaaaaabbaaaaabbbabbabbbbbbbbabbabaabababbb
+bbbabaabbbaaaabbaabbabaa
+aaababbaabbbbbbbabbaaaaaaaaaabbaaabaaaaaabbbaabbabbbbaaaaababababaaababaabbbbbabaabbbbbaababaabbbabbbbbaaaa
+bababbbbaaabbaaabbbaabbaabaabaaabbbabbaabaabbaaaaaaababbbbaabb
+abbababbaabbaabaababbbbabbaabaabbaabbbaabbababbabbabbbbabbaaaab
+ababbaaaaabbbbbabbaaaabababaababbbbabbbabbaaababaaaaababbabbbbbbbabaaababbaaaabba
+baabaaabababbbbbbbaabbabbbbbabbabaa
+ababaababaabaabbaaabaabbababaabbabaabaaaabbaaaaabbbabaabbbbbbaaabaaaabbaaa
+abbbaaaabbbabbaaabbbbbaaaabababaabbabaaaaabababbabbaabababababbababbbbbaabbaabaaabbbbaabbabaaabaababa
+baaababaababababaabbbbaaaabaaababaabbbbbabbbaabbababaaabbbaababbbbbbbabaaabababbaabbbaa
+aaabaababbbbbabbababbbbaababaaaaaaaaabaaabaaaabbbbbabaaabbbababbbabbaabaaabaabbababbbaaaaaabbbbaab
+abbaaabaabababaabaabbaabababbbaabab
+aaabababaaaaaaababbbabbbababbabbaaaabbbaaababaaabaaaabaaabaaaabbbbabbabbbbbbabababbaababaababaabaa
+bbaabbaaabbbaabababaabbbaaaaababaaabbbabaaaababababababaababbbbbabababbbbabbababb
+abbbbaababababaaabbaabaabaaababbaabaabaabaababaaaaababbaaaaaaaaba
+baaaabaabbbabababaabaaab
+abaaaabaaaaabbaabbaaabbaabbabaaababbbbbbaababaababb
+aaaaababaaaaaaaaaaaaabaaababababaabbbbaaabbaaaa
+bbbabaaaaaababaaabbbbbbbaabbbbbbabbaaababbabbaabbbaaabaabbabbbaba
+aabaaaabbbbbbbaaaaaaba
+aabbababaaaabaabbbbaabaaabaaaaaaababbaababaaaaa
+aaababbbbaaaabbbaabababaabaa
+abaaabbabaabaaa
+abbbbbbbbbabaaabbbbbbabbabbabbaabababbbbbbabbbabbbaabbbabababbbababbabbabaaabbaab
+bababbbabbaabbbbbaaabaabbbabaaabbaabbbaaabaaaaaabaaabbbbabbaabbaabbbaaabaaaaabbbaababbbaaaaaabab
+abbabaabaaab
+aababbbaababaabaabaabaabaabbabbbaabaababbaaabaaaaabbbbbbaabbbabbabaabbaaababaaabaaabbbbababaabbabbaabaaabbabb
+abaabaaaaaaabaabbbbaaabbaababbababababbaaaaabbaaababaaaaaaabbbbabababaabbbbabbbaababbabaabbabaabb
+babaaaaababaaabaabaabbabaaaabbbbbaabaaa
+bbabaaaabaaaabbbbababbbabaabaabbbabababbbbabbaabaabaaababaaabbbbaabaaaaaabbaaaaabb
+bbbabaaaaaabbaaaaabbbbbbabaabaaabaababbbbaabaabbaaabbbbbababbababbbaa
+aaabbbbbbaaabaabaaaababbababbabbbbbabbababbbbabbabbab
+aaabaabaabababbbbbaabbbbbbaabaaababbbaabbbaaabbbbabaaabababaaabaabaaabbabaaaababbbaaaabbbbaaabbaaaaaaa
+baaaaaaaaaaabbbabaababbaabaabaababbaabbbbbabbbbaabaaabab
+bbaabbbababbbbaabbbbaaabbabbbbaaaabbabbabbaaba
+aabbbbbababbbaaababaabbbabbbbbaaabbabaaaaabbbbbabaabbabaaabbaabbaaababababbabbaabbbbabb
+baabbaaaabbbaabababbbbbbaababbbbabbbbababbbaaabbbaabbbb
+aabaabbbbbbaaaaaabaabababaababbaabbabbabbaaabbbbaabbaaaabaaabbbbabbaabbabababbbbaabaabbabbbabbbbabbaaaaa
+abbbaabbbabbabaaabababababababbbaabababaababaabbbbbbbabaaabbbaabaabaabbaabaaaabaaaaaabbaabbbabbabaaabaabab
+aabbbabaababb
+abbabaabaaabbabbbaababbbaaaaabaabaaaaabbabababaab
+aababaabbbaabbbaabbaaababbaaabaaabbbbaaabbbaaabbababaababaabbbaabbbba
+babbaaabaababbbbbababaabaabaaababa
+269 121
+abaaaababbbbbbbaaaaababbabbbaaaabababbaaaaaaabaabaaaabbbaaaaaa
+baabaaaabaababaaaabbbabaaabaaababbbabababbbbbbabaababbaaaababbbbbbaabbaabbbbaaaaaababaaabaaabaaaaabba
+aaabbaabaabaabababaabbaabbbabaaaaabbaabbbaaababbaaabbaaaabbbabaabb
+aabbaabbabbabaaaaabbaaaababbabaaaaabbaabbbbbbbabbbbbbabbbabbabbbaabbaaabbaabbabaabbabbaaaabaaaaaa
+abbbaababbbbabbaabbbbaaabbbab
+aabbaaabbabbbabaaaaababbbbaabaaabaabaabbbbbaababaaaabaababbbabb
+abbabbaabaabbbabbaaabbbaabbaaabababaabaabbbbbaabababbbaaaaababbabbbbaaaabbab
+aabbbbaaabbababbababaaaabbbbbaabaaaaaabababaaababbababbaabbabaaabbbbbbbbaaaabbbaabababaababaaaabaa
+abaabbabbbbaaabbbbabaaabaabaaabbaaabbbbbaabbababbabbbaaaaaaabbaabbabbbbbbaaabaa
+baaabbbabbabbbabbbbbabaaaababaaaababbababbabaabaabbabbbbaaabbbaaaaabbaabbb
+bbabbaaabb
+aaaababbbbbb
+abbabbbbbbabaaaabababaaabbabbababbabbaaabaabbbbbabbaaabbbbbabaaaaaabb
+ababbabaaaaababababbbbbabaabbaaabbbbabaabbababaabaabaaaababbababaaaaaabbbabaaabbbaaaababbbbabaaaa
+abaabaababaaaaaababaabbbabbaaaabbaabbbbaaaaaaba
+abaabbbbababaaababbabbbbbbabbbaabbbaababbbbabbbabaaaaaaaababbababbbbbbaaabaabbabbaaaba
+aaaabbbabbaabbababaaaabaababbabbaabaababbbbbbabbaa
+bbbbabbababaabaaabbaaaabaaaabbbaabbbabbaaabababaabaaabbaaaaabbaaabaaaabbaabbbabbabaaaabbb
+babbbabaaaabaababbaabbabaabbaaaaabbabbaaaababaaaaabbaaaabbaaaba
+baaaaaabbbaabbbababbabaabbabaaaaabbaabbbbaabbababaaabbbbabababababbaabbabbaaabaabbaaaabbababbaababbbaaabbbb
+babbbaabaabbaaabaabaabbaaaaabbbbaaaababbbaaaaaabababbaaababaaabbbbabbabbaabaaaaaabbbbbbbbaaabab
+abababababbbbbabaabbabbaaabbbabaaabaabbbbabbaaaabbbaaabbbaaabaabbaabbabaaaaaa
+aabbaabbabbbabaabaababbaabbbbbabbaaaaabaaabaabbbbbbbababbabbbbababbbabbaaaaaabaabaabbabaab
+aabababaabaaaabbabbaabbbbabbbbbbabababbbaabbaababbbaaaaabbabbbbbbaaabaaaabababbbbbabbaba
+baaaababbbbabaabb
+aaaabbaaaabbbbbabbabbababaabbbaaababababbbbbbaaababaaaaaaaaaaaaabb
+aaabaaaaaaabaaababbaabaabaaababbaba
+abbabbbabbaabbabaabbaababbbbbaabbaaabababbbababbabbbaabaaabbb
+baababbbabbbababba
+bbbaaaaabbbbbabbabbaaaabaaaabababbababbabbabbaababbaaabbbbbaba
+bbbbaabbbbabbbbbaabababbabbabaaababbabbbbababaabbabbbbab
+bbabbbabbaaabbaabaababaababaabbbbbaabababaaababbababbbabbbabbaababbbaabbbbaabaaabbabbaaaabbbaabbbbbaabbba
+bbaaaaaabaabaabbaaaaabaaaabaabbaababaaaaabbabbabbbabaabbbbabbaababbaabaabbababbaaababbabaabbaababbbabaaabbaa
+babababbbabbaaabaabaabbaababbbaabbabaababbab
+baabababaaa
+bbaaabbaabbbababaaababababababbbbaabaaaaabbabbabbba
+aaabbbbbabaaabbbbbbaaabaabbaabbbabbaaabbbbbaababababbaabbbbaabbbbaaaaabbbbbbaaaababbaabbbaabbabaa
+ababaabaaababbaab
+bababaabaabbaaaabaa
+bbbaabbbbbaaaaabaaabbabaaabbaabaabbbbaababbabbabaabbabbbb
+abbaabababbbbababbbbbaaababbabaabbbbbabbaa
+aaabababbbaaabbaaaababaaaabaabbaaabaabaabaabbabaabbab
+babbaaaabbaaabaaabbaaabbbabbbbaababababaaababbbabbaaaabbabaaabbaaababaaabbbaaabbabbbaaaabbaaaaa
+bbbbbaabbbaaaaababaababaaabbbbbababbbababaabaabaaababbbaabbbaaaabbbabbbabababbbabaaabbaab
+baaaabbaabaababaaaaaaabbaabbabbbbaababbaabbabbbbabaaaaabbaabaaabaaaabbbb
+bbabaaaaaaabaaababbabababaaa
+aabbbbabbbbbbbaaaaabaabbaabbaaabbbababbbbbabbaaabbaaabbabbaabababbabbbabaaaabaaababbbbbbaaabaabaaabbabbaab
+abbbbaabaabbbbababbababbbbababaabbaaababbbbabaabbbababababa
+abbaaaaabaaababbababaaaabbbbabbabbabaaaaabbbabaaabaaaaaaabaaaaabaabaaababbabbabaabbbaabaabaabbba
+aaababaabaabaabbababbaaabbbabbaabaaaa
+aabbbbababbbbabbabbbbbbaabbbaabbbabbbabbbaaaaabbbb
+aabaabbbbabbbabbabb
+bbbbbbbabbbbabbaaababbbb
+abaabaaaabaabbba
+abbabbabbbababaabaabaababaabaaaabbbaaabaaaabbbaaaabaa
+ababbbabbababaabaababaabbaabaabbbaaba
+abbabaaaaaabaaaaaabaabbaabbaaabbabaaabbbaababbaaabbbbabbaabbbbbbababaaaaaaabbba
+bbaaabababbbaaaaaaabbaabaabbbbababaababaa
+bbbbbbbaabbabbabaaaaabbbbaaababababbbbbbaabaabababbbababaabbbbaaabbaaaaabbaabaaab
+ababbaabbbabbbbaabaabaaaaabbbbbbbababbaabbaa
+abbaaaabbaababaababbabaaabaabaabababbbabbbababbbbaaabababaabbbbababbababbaababbbabbbaabbabbbbba
+babbabaababaabbabbbbbabbaabbbbabbabbb
+abbbaabbaabbbbaaaabbbbbbbabaabababaabbaabaabbabbbbaabaabbaaababbbbbabbaaabbbabbbabbaaaabaaabaabaaa
+aababaabaaaabbbbaabbababaabbbababaabbbaabbababbaba
+baaaabaaabbabbaabaaabbbbbababaabaaaaaabaababbaaaaababbaaaaaabababaababaaaabaaabbaababbabbbababaaaaba
+bbababbaababbabaaaaababbaaabaaaabbaaaaaabaabbbbabbbbababababbbabbbbbbabaabbaabbabbbabbaaababaabaabbabaabbaabb
+abbaaabaaababbaabaaaabbbbaabaabbabbaabbbbabababaabaabbaa
+baabbaabbbabbbaabbabbaaaaababa
+bbaaabaabbbaababbaaaaabaaababbbbabbbaaaaaaabbababaabbbbabbbaaabaabaabbbabaabbbabbabbaabaabbbababbbbbabbbaaba
+abbaaaaaaaabaa
+baabbaaabaabbbbbbbabbaababaabbaababaababaabbabbbabaabbaaababbaaabbbbaabababbaab
+babbaaabababbaaabbaabaababaab
+bababbbabbbaaabbbaaaabbaabaababaabaaaabbbbabbbbbaabbbb
+babaabaaabbbabbabaaaabbaaababbbbbbabbabbabaabbbbaaaaababbaaaabbbabbabbbabbaaaaababbbababbaabaaabaaabaa
+bbbaaabbbabababaaaabbbbaaabbabbabbbabbbbbbbaababbaabaaaabbbabaabbababab
+baabbbaabab
+abbbbbbabbbaabaabbaabbababbabababbaaaaabaaabbbbbaaaababa
+aaaaabaabaabbbaababbababaabbaaaabbbbbbaabbbbbaaabbbabbbaaabbabaaaa
+bbbbabbbbbabbabbbbababbbaabbbbaabbbaaaabbbaabbabbababbbabaabbbbba
+aabbabbabaabaabaaabbababbbabbaaaaaaabbbaaaabaabaabaabbababbaaabababbaaaabab
+bbabbbbababbabaabbabbabbababaaaaababbabbbbabbabbbaaaabbbabbbbbabaabbbbaabbabababbaabbbbaaba
+abbbabababbbabaaa
+aaaabbaaabbaabaabbabababaabbabbbaaabbbaaaabababbb
+baabababababaaabaaababbbabbbbbabaaabbbbaaaaaababbbaabbbabbbababbabbab
+bbbabaaaaabaabbababaabaaababbbbaabaaabb
+ababbbbabaaabbbbaaabbababbababbaabbaaababaabbbababbbbaaaaaabbbbbbaabababbaabbbabab
+abbaaabbaabaababbaaababbba
+bbababbabbabbaabbbaaaaababbbabaabbbbbabbbbaaaabbabbabbbbaaababbbabbabbaaaabbbb
+bababaaabaababbabbbaabbbbbabbaabbababbbabbaaaaababbbaaaaaabaa
+bbaaababaababbbabbbbaaaabbaaaabbababbaaabaaaaabaabbbaaababaabbbaabababbaabbbabbbbabbbabbaaa
+baabbbbaabaababbaabaaaababaaabbaaaaabbbaabaabbabbbaababbabb
+bbbabbaabbabbaaaaaaaabbbaaaabbaabbbbbabababaaaabaabbaaaaabbabababbaababaaaabbabbaaabaaabaaabbaababaababbab
+aaaaaababaa
+aaaaaabbaaaaabaaaaaaaabbabaabaaabbaabababbaaaaaabbbbbbababbabbaaaaabaaaabaabbbaaaaabaabaaabb
+babbabbabbbbaabaaaabbbbaaa
+aabbaaabaababba
+bbbbabbbababababbbabbababbbabbbaabaaaaaa
+abaabbaabababbabbabababbbbbbabbaaaabbabbaababaabaaabbbbaabababaaabbaaaaaaabababbaaabbbbabbabbabaaabbaaaaa
+aaabbaabbaaaabbbaaabaaabbbaaaaaaaabbaaaababaaabababbbaaabbbaaaabababaaaabbbb
+abbabbaaaaaabaabb
+baabbaabaabbabbaababababababababbbababbaaabb
+babbbabaabaabaababbaabbbababbababbbaaabaabaaaabbbabbbbaaaaabbabababbaaaab
+abbbbabaabababaabbabbabbaababbbaaa
+aaabbababbabaa
+aabbabbaaabbbabaabaabbbaaaabbaaaababbbabababbaabaabababbbbabbb
+bbbbababbbabaabaabbbababaaabaabbaabaabababababbbabbaaababbbaaabbaaabbbbbabbaabbbbabaabbbba
+abbaaabbbbbaaaababbbbaaabaaabaaaaabaabaabbbbabaaaaaabaaaababbabbbabbaaaa
+aaaabbbaababbbaababbabbaaaaaaabbaabbbbbaaaabaaaabaabbaababbbbbbababbaaababbbaababbbabaaabbaabbbaaabaabb
+baaaabaaaababaabaabbbaabaabbbaa
+baaaabababbbaaa
+ababbbaaaaaaabaaaaaabababba
+abaaabaaaabb
+ababaaabbabbaaababababbabbabbababbabbbbabbabbabbbaababbaaabbbbbaaabababbbaabbbbabbbababbbbbbbbbaaaab
+baaabaaabbbbbabbabbaaaaaababbabaabbbab
+bbababbbaaabbabaababaaabaaabbaaaaaaabbbaaaabbbbbbaaababbbaabbbabbabbbaabbbbaba
+ababaaabbbaabaaaabbabababbbaaabbbbabbbb
+bbbbbbbbbabbbabbabaababababbaabaabbbabaaabbabaaaabbaabbbababaabbbabaabaabbaabbaaaabbbbaaaababbb
+aaaaabbbabbaaabaabbababaaaabbaabbbbbabbbaaabbbabaabaabbbbbabbbbbaababaabababbabbbabaabaabababbababaaba
+abbbbbbabbaaabbbbbababaababbaabbbbbbbaaaaabbaaa
+babbbbababaabbaabbababaaaabbbababaaaaabbaabbaaababbaaaaababbbabbbaaaabbababbaabbbbbbabbabbbabababab
+bbaabbbaabbaabaabbaabbaaaabaabaaaa
+baababbbbbabbaababaabbaabaababbbbbbbabbbabbbbabbaabbaaabbaabbbabbaabbbbabbabaaabbaaabababaabbbbbbbbabaaaaaa
+aababaaabbabbbbbabbaababaabaaabbababaabbbaab
+baaaabbbbaaabbabbbaabbabbbbbbababbbbbbbbbbaabaaaabbbbbbbbbbbaababbbbbaabbbbbbababaabb
+abbbabbbbbbabbaaabaaababbabaaabbabababaaabbaabaababbababaabbaaaaababbaabaaabbbaabaabbbbabbbaaabbbbbbaaab
+aaabbbaaaaaaabbbbaaaaaaaaaabaabbbbabbabaaabbabbbbbbbbbbababababaababbbbbbbaab
+bababbbaaaabbaababaaaaababbabbbbababaabbaaaabaabbbababbabababaabbabbbababbbaaaabbbaababbbaaabb
+aabbaaabaababaababaaaaaabaaababaabbaaabbbbabaabbaababbaaabbbaabbaabababbbbbbbabbaba
+aabaaaaaaaabbaababbabababaaabbbbaaaaabaaabbabbbbaabaaababaaba
+bbabbaaaababaabbbaababaababbbaaaaaaabaabbbbbbaabab
+babbabaaaaaabbbaabbaaaaabababaaabbabbbbaababaabababbbabaabbbabaaaababaaabaaabbbbbaaaabbbbbaaaaaaaa
+abaababaababbbabbaababa
+baaabbaaaaabbaaaaabbaabbaaabbaabbaaaba
+bbbabaabaabbbbaabbbbabaabbbbabaabbaababbabababababbbaababbbabbabbbaaabbabbbbbbabaaaabaabbaaaaabbbab
+baaaaababbaaaaabbababbaaaabaaabaaaa
+abbbaaaabbbbaaabbbbbbbaaabbbabbaabababaaabbbaaa
+bbbbbaaaaaaabbbaaaabbbaaabbbbaaaaaabaabaaaaabbabaabababaabaaababbabaaaabbbbababababbaaabbba
+aaaabaaaababbbbbaaaabbabb
+aababbbabbbba
+abbabbbaaaaabaabaaabaababbaaaaabababbabbaabaabababaaabbbbbbb
+bbbaaabbababaaabbabbabbbaaabaaaaababbbbbbab
+baaabbaaabababaabbbbabbaabbbbbaaaabbaaabaaabbbbababab
+abbabbbbabaababbaaaabbaaabbbabbabbababbbaaaabaabbaaabbaaababaaaaabaabbbbbbababbaababbabbbbbbaaabbaab
+bbbababbabaaaaabbbaabbbababbbbbbababbabbaababbbbaabaaaaaaaaaaaaababbbababababbbabbbabbbbbbbaba
+baabbbbbabbbababbabbbbbbbbbbabbbb
+baaabbbbbbabaabaaababaaaaaaabaabbabaabbabababa
+abaabbbaaabbb
+aaabaabaabaaababaaaaababbbbaaaaaaaaabbabbbaaababbaaabbababbaa
+aabbaaabaaaabbabbbbaabaaabaabbabbaababbbababaaaaabbbbbbbbaabbbbaabbaabaaabbbaaaaabababbabbbababaaaaba
+aaabbaabbbbaaabbaabbbaaaabbabbbabbbbaaa
+bbaabaabbabaabbaaabaabbabbabbbbaaaaaababbabbbbaabbaaabbab
+baaaaaaabbabbabbbaabbabaaaaaabababbaababbbaaabbabbbbabbabbabbbabbbbbabaaaaabbbaaababababbaabbbabbaaababbbba
+ababbbabaabbaaaaabababbaabbabaaaaaabbaababaabbbabbaabaaaababbbaaaabaaababbbbabaaabbbabbbbabbbaaaababbabaaa
+bbbabbbbbbaabbbbaaabaabbbaabbbbbabbaabbaabaaabbaaabaababaabbabaabbbabbabaabbbbbbbbaaabbaaababaabbabaaaabbbaa
+baabaaabbaaabaaabbbabbaaaabbabaaabaaaabbbabaaaabababbaaaaaabbabbbaababbaabaabbbbabbbababbbbaaab
+babbbabbbaaabbbbaaabbaaaabbabbaaaabaabbbbaaaabaabaaabbb
+abbbbaababababababbabbabaaaaaaaaabbbabbbbbabbbaaaabbbabaaaabaabbabaababaabaabbbbbbabababaaabbbaaabaaabbb
+aabaaabbbaabababababababbbabbaabbbabaababa
+abbbaaaaaaaaaabaabbaaaababbaaab
+aaabbbababaaaaaaaaaabbabaabaaabababbababaaabaabbbbbba
+aababbbaab
+aaaaaabbbbbaaababaabbbbaababbbaaababbbbabaaababbbabbabbbabbaabbbababaabbabbaa
+ababaabaaaabaaabaaaaaabbaabbababababbabaababbabbabbaabababaabbaabaaaabababaabbbbaaaaaaa
+baababababbbbaaabbabaaab
+baabbbbabbba
+aabbabababaaaaabaaaab
+bbbbbabaaaabbaaaaabbbabbbabbbaabbaaabbbbaaabbbbbaaaaabbabaabbaaaabbaaabbaaaaabaaaaaaabbab
+bbbbabaabbbbbbabbbabbaabaaaaabababaaababaabbabbabbbbabbbabababbbbaaabaaabbbbaaaaaabbab
+baaabbbbbbabbbbaababaaabababbababbaabbbabbbaabbababbabbbbbbbbbaabbbbbbaabaabaababbbab
+abaaaabbbabbabbbabbbbbbbaaaaaaabbbbaaaabbabbbaabaaaaabbbbabbbaaa
+bbabbbbbabbaaaababababaabbbbaabbbbaaabbbaaaaaaababaaababaaabbbaaababaabbbbabaaabbabbbababaabaabaaabbbba
+bbbbbabbaaaababbabbabbbabaaaabbbaa
+aaababbaababbaaaaababbaababbabbabbababbaabaabbababbabaababa
+baababbaabaabbbabbaababbabbbbabaaaaabbaabababababbaaaabaabbaabbaabbbbaabbababbbaaaaaabbaabbaaaba
+abbbbbbababbabbaaaaaaaabbabaabaababababbbabbb
+bbabbaaabbabbaaabbbaabaabbaabbaaabababbabaaaaaabbaabaaaaaabbababaababbaabbaabbaaabbbbaabbbaaaaaaba
+babbbabbbaabbaaabaaaabaaabbbbbaabbbbabbabbababaabbbbabaabaaaabbbaab
+abaaaabbbabaaaabaaababaaaababbaaabbbbababbbaabbababaaabbaabaabaaaabababaabaaabba
+ababbbbbaababbabbbabaabbbbbbababababbbbbbbababbbaabaabbbaabaabbaabbaaabbababaababbaabaaaabbab
+aabaaaaabbaabbbbbbbbababbbabbbabbabaaabbbbaabababaabaaaabb
+abababaaaaabbaaaaabaaaaababbbbabbaabbbbababbababbabbaaa
+aaabbbbbbbbabbaabbbbbbbbababbabbbbbbbbaaaababaa
+babababbabbabbabaaabbaaababaaaabbababaabbabbaaaaaaba
+bbabbbbbabbabbbbbaabbbbbabaabaabbaaababaaaabbaaaabbaabaabaabbbbabaaaabbabbbbbababbbaaabbaababbbbabaab
+baabaabbaababbbbaaaabbabbbbbbabbbbbbbaababbbaababaababbbabbabbabaaabaab
+aaaabbabbabaabbbabababababaaaabaabbaabbbaaaaababbb
+aaaabbaaabaababaaabbbabaabbbb
+abaaaaaaaaabbbbabbaababbbaababbaaaaaabababbbaababbaaabbaabbbbaaaabaabbaaababbbbabbaabbbaa
+aabaaaabbaaaabbbaabbbbbaabbabbabbbabbbabbbbabbaabbabbaaaaa
+bbbaabbbabbbabbbbbaabbbabaaaaabababbbabababaabb
+babbbaabaabaaaaaaaaaaaaaaabbabbbabbbababbbabbaabaabaaabbbbababbaabbabbbaaabbaaabababbaaabaababaabbaaa
+baabbaaaabbbbbaaaaababbababbaaaaaabaabbabbabbbbaaabbabbbaaabaabbbaaababbbabbaabbaabaaabbabbbaaaaaaabaabbabaab
+abbaabaabbaaaabbaabababababbbbaaabaababbbabaabbaabbbabababaaaabaababbb
+aaabbbababbaaaaaabaaabbbbaabbbbaaaabab
+aababaababbabbbbababbbbbbbbbabaabaababbbabbb
+bbbaaaaabaabaaaababbabbaabbbbbabbaababaaaabaabbbbabaabaa
+aaabaabbabaaaaaabbabbb
+bbabbbaaabaababbbababbbbbaaababbbabbbaaaababbbaababaabaab
+babaaaabaabbbbaaaaaabbbbb
+baabbabaaabbaabaaabababaabbbaaabbaabbbbabbbaabaabb
+babbaabbbabbaaaabbabbaaaaaabaabaaaaa
+abaaabbabababababaaaabbbbaaaabbbaabaabbbababbaabbabaaa
+bbababbbbbbbababaabbaaabaaaaaabaabaababbabbabbaaaabbaaabbbbbaabbbaaabbbaaabbaabaaaabaabaaabaaabbabaabaa
+aabaabbbbababaabaabbaabaaaabababbabbabbaabbabbbaabbbaaaaaaaabaaabbbaabaabbbbabb
+bbbaabbabbbaaababbbaa
+aababbbaaaabababbabbbbabaabaaab
+babbaabaabbaaabaaaaabbbba
+bababaababbbbbabbbbaabababbaaaabbbaaaabaaabaaabbbabaaabaababb
+aabaababbbb
+babbaabbaaabbbbbbbabbaaaabbbb
+bbbbaaaaaaaaaabaaabbaaaaababbababbbbabbaaaaaaaabbbbbaaa
+aabbbababbbbbbbbbababaababbbabaabbbbaaabbabbaaabaabbbaabbbbbabbaabababbabbbababaaaabab
+aaabaabababbabaaabbababaabaaababbbabbbabbbaaabaaabbbbbabaabbbbbaaababbbbbaaaabbababbaababaaabbaaabbbbabba
+baabbbaabbaaaabbbabaabbabaaaabbaabaaabbbaabbaaaabaaabbbababbbaaababbaabb
+bbaabbbaaabbabbbbbbbabbbababbbbaaaabababaaaaabaabaaabbaaaaabbbaaabaaaaabaabbbaab
+abbbaabaabbabbabbabbabbabababaabbbaaaabbababaaabbaabaabababbbbaabaababbbabbab
+bbaabbaaabbbbabaabbbaaaabbbabbabaababbababbaaaabaabbaa
+bbbabaaaababbaaabaaabbbbbabaababbbaabababbaabbbbbbbbbaaababababaaaaaabbbbbb
+aabaaaaabbbbabbababaabaaaababaaaabaabbaabaaabaaaaaaaa
+baaabaabbbabbbbaababbbbbababbbaaababbaa
+baabbbbaaaabbbababbbaaaaabbababbaaababaaaaa
+babbbababbaab
+bbbaabaabababbababaababaaabaababbaaaabaababbabbaabaa
+babaaabbbaabbbbabaaabababaaaaabbbabbbbbabaabbababababababbbbaaaabbaaabaabbbaaaaaabbaaabbabbaaabb
+bbaabbaaaabaabbabbbbabbbbbaabaaabbbabbbbbbbbbabab
+aabbbbabbaabbabaabbbaaaaba
+baabaababbbbaabbbbaaaabbbbaabaababbbbbaaaabbba
+ababbaababaabbaaaabaababaabababbabaabbbbbaabbaabbbbbabaababaabbabababa
+bbaaaabbbbb
+bbbbaaaabbaaaabababbabbababaabbaaabbbaaabbbbabaaaaababbabbb
+abaabbaaaababbbaabb
+aaabbaaabbbaabbbaaabaabababbaabbbaabababbbaaababbaabbbbaabbbaabaaaaabaaabaababbbbbabbb
+baaaaaabbaaabaabababbbaaaabbaabaaaaabbabaaabbababbbbaaabaabaaaaaaabbbbbbbabbbbbbabbba
+baaabaababbaabaabb
+bbaaaaababbabbaaaababbbbbbbabaaabaabaaaabbba
+bbaaababbbbbaaababbaabab
+bbabaababbbbbababbabbbaabababbbabb
+bbbaababaabbaabbbbbaabbaaaaaabbbaabbaabbbaabbababbaababababbaab
+baabababbaabaaababbabbabaaabbababaabbbbbabababbbbbbbbaaabbaaaababab
+baababaababaabaaababbbabbbbbbaaaaabbbbaabbbababbaababbbaabaabbbaaab
+bbbabaababbbaabbaaaaaa
+aababaaabbabababbbabbaabbbbabaaabbaabababaababbabaabaaabbabbaababbaaaabaabb
+baaababbaabbbbbbaaababbaabbaaaaababababbabbbababbbaaba
+bbabaaaabaabbbbabaabbaaaaaba
+baabaaabbabbababb
+aaabaaaabbaaabaaaaabbbaaaababbbbaaaabaaabaaabbbbabbababaabbbbbaababaaaabab
+abaabbbbbabbabababababbbababbabbbaaaaaaa
+babbbababaaaabaaaabbaabaaaabb
+abbaaabbbbaabbbabaaabbabaabbbbaababaaaabbbaaaabbbbba
+bbaaaaabbbaabbbababaabbbabaaabbaababababbaabbaaabaaabababbaababbb
+bbbabbaaaabaabbaaaaabbababaaabaabbaaabbbaababbbbaaaaabaaaaaabaaaaaabaabaaabaaaabbabaabbbaaaabaa
+aabbaaaaaabbaababaabaabaaabababbabaabaabaababababaabababaa
+ababbbbbbbbbbbaabaaabababaaabababbababa
+baaaaaababaabaaabaaababaabbaabbabbb
+abbbabbaaaabbabbbaabababbabbbbbabbbbabaabbababababaaababb
+ababaaababaaabaaabaaabababbaaaaaaaaaabaabbbbaababbaabbab
+babbaababbbabaaaabbaaabbababbababa
+babbaaabaabbabaabaabbbabbbaabbabbbababaabbaabaabbbaabbaabbbbaaaab
+bbbabbabababbbbaabaabaabaabaabbaabbbbaaabaabbaabbabaaaababbaaabbbbbbabaabbabbbbbabbbbbbaabbb
+abbaabbbbbbabba
+bbbabaabaaabaaaaaaababababaaaabababababaabbbbabbbaaababaaaabbbbababababababbabbabbbbabababbaaaabaaabab
+aabbaabbaabbabaaabbbbbbbbbbbbaaabbaababaaaabbabbbbabbbabaaabbabbabbbbabbababbaabbbababaababbabaabbbaabababbba
+aaaaaabbaababbaabaabbbaaabbbbaabbbbabaabaabbabbbabbabbaabbababbbbbaabbbbaaaaabaabaabab
+bbbabababbaabbaabababbbbababbaabbbaba
+baababaabbabbabababaabbaabbaabbbabbbbbbbab
+aaababbbaaaabbaaaabbaabaaaaababbbbbababbaaabbbbbabbbbbbbbbbbbbbaaabaabaabbaabbbabbaaaababbababbbb
+abbbbbababaaaabbbababaaabbabaaabbaabababbbaabba
+abbababbbaababbbaaaabaaabaaaaaaabbbbbaaabbbababbbababababbaabababaabbaabbababbaaabaaababbbbabbbaabaab
+aaaabaaaabbbabbbaabbabbaababbbbabbbabaaababbabbbaabbbbbbbaabababbabbb
+179 43
+aacccabbcabaabbacccbbaabcbabaacacbccbacbabaccbabcacabbbbbcbcabbaabbbba
+cabaaaaabbaabbac
+bccacbbbbcccbbccaccbbcbbacbcbbacbccaa
+bacccbbbabaaabcaaaacbcbabbaabaaaabcbccbaacbbacabbaaccccaabcaccbabaaabccacabaccbaaaabcbaabaccacbccbacccc
+cbbcbcaabbbcbaaabbbaabcabaccbccbbbcabaaaacacaabccabacabaaacccaacabaaccabcbaabbcaba
+baabacbabbcccaababcabacbbaacaaabcaaaca
+bcbaabcaacbcacccabcabaaaaabcaccbababcbabccbccbcbcbaccacccaacbacccbbbbbaaaacbaabccaabbbaca
+cbbbbbcbbcaccbbbbbbcacaaaacccabaaa
+bcbbcacccacccabbccaccabcccabacbabcacbbcbccbbcbbbbacacaabbbabcacac
+abcbbaaabbaabacbcbcacbcacaaccaaaaccbaabcacabbbcacabcaba
+bcbccabcbbcaacacaabacbcbaaaacbabacababbaccaaacaaccabb
+abccbcaacbaabaabcbccbccaacbcbabababbbccaabbacbbacaaacbcca
+aabbbccbbabcabcaccbaccbaccccaaccabccccccaaabcaaabbbaaabbacaacaababaaaacacbac
+baaaacacbcbaaccbccbaccbbcbbaccabbabcaaabcbcbbcacbcbaacaccbabaaabbbaccccacacaac
+aaaabbcbabbccbccbacacabbbacbabcbbbcaacccabaabbbaabbcaaabacc
+bcbabbacaccacababbacaabaaccbacbbabccaabaaabbccbabbbbbacccbcbbcccaa
+bbcababbabaabacaaccb
+ccaccacbbbcaabacaabacbcacbcccabccaacbbaaccacbbaccbaaaaccaacbaaabcbcabaaacababbaabbcaacccababc
+bbbcbaccbcacaabbaabccbbbbcbbcabcbcabcbabababbaaacabc
+bcacaaaabbcbaacbc
+abcabcabcaaccccbacbccaccacaccbcaabaacaaaccbbccbcbbcccabaaccbacabbaababbbcaabaacaacaaaabaac
+acaaccbaccccacabcaccbccabbbcbaaaaa
+bcbbbbbbabcacbaaccbabcacaaabaacbcbcbbbbaaabbbcbbcabbbbb
+accbabbaaacaabbcbabbcbcaacbbbcacabaaaacabaaababcccabccaaccccbbbcacacabcacccaabb
+cbcbacabbabccccabbbbcacbacbbbbaa
+acccaabccccbbbbbaaabcccaccacccccccababcccbacaacaacbccccabcabcccabccaccbcbaaabacaaccbabc
+ccabbbcbaababcabcaabcabbabab
+cbaabbcaaabcbbbaacaaabbacb
+bbabaacabbcbbbcccbaaabcacccbaaccbcabbcccbabbaacaccaabcaacacbaaccbabcbbcccbccbacacabcaaabaccbbaacacbacb
+accbacbaaabbcbcbacbabcaaabbaccabbaababbbcacbbabacaaccaaccccbccccbbccbc
+bccaaabcacbacbccacbccaccccbacbabcbababbbcbbcacc
+abccccacacb
+caaabccbcbbabcbbbabcccaaacaabacaabccbaacccb
+bccabbaccacbbacbcabaabcccaabcbbcccbcacaabcbbaccbbcaababcccccaacbaababbacbcaaaacaabacbccabccbacbb
+cbaaccaaabccbabacabcba
+acabbbccbabcb
+accaaaacacaccccabaacacbcabbbbccccbabbbcaccbabcbbccbaabcbaccababbcbcbbccaabccabbaaabcabcbbbcbacbb
+babcacabacccbbbbbbabcaccabc
+ccbccbcaaaccabaacc
+bccbcabbcbbaaccbbccbcabbccbbccbacababbaccaaaaabacbcbabaaabbaaa
+cbcabbccbcacbbbcbcaacbbbabaaabcabbcbbbbbabacbcaaaccbabbcbcccbbcabbccbabaabcbbcabaacbacacbcabbaacabcbcbbbbbc
+ccaaaaabacbbbcaacbabcaccaccabbacccccbccbbbacabcbaaccbbcaabacaccbaabcb
+abaaaaaaababaacbbccccbabccbbcbaaccaaacbacbcccbbccbabcbcbacbbcbcccabbcbccbacbabccacccbbabbabaccbbcb
+cbbbcababbcaaacabbaabcaabaacbb
+bbccaabcabbbbbcbac
+ccacaaccacbabacbbabbcaacaaabacbbbbaaaaabcbabbaccbcc
+cbabcbaccbbcccbcccbabbcbcabcbbbbbcaacccbbaaaabacbcaccbbbabbabaaabcabbcbccccabbbbbcbaacaaacacc
+caaacbbcbacabaabbbccccabcbabaabcaabbbabbbbababacbaabbabbbccbbbaaacbaacaabcacbccccccaaabacabc
+ccaabbbbbbbcbaaacbcbbbabcaacbcccccbcccabcacaaabbaaccbacaccbbbcbccbbccaaabbabcacaabcabbb
+abbbbacbacaaaaacc
+aababccacbbccbaaababccbbbacbbcb
+babcbacbcbabaaccaabccbbccbcaacbcacbcbbbcbbcabcacbacbaacbcbaaaacabcababbaaaacbaca
+bbbabcabcbbaabbaaabbcbbacbaaabacbbbccccaabacacbbcbaaccbcbbbaccbcccaa
+cbacaaccbbcbcccbabbbbacacbaabccbcbcbabcbcbbbbcaacaaccbaababccbaacabbcabaaabcabaabaacccacacbabcaaccbaccbaabca
+ccbbbccaabbaaaaabaacbbbbcccacacbaabacccbaaaacabbbbccbc
+babcccccbabaacbaaaacbaccacabbabbbcbaacbcbabbacabcbbabcbcaccbcaacaccbaacbc
+bbaaaccbabccaba
+caaccacaabbaabcbccbbbacabbacbcabbaccbbaaaa
+bcbbcbabbbbcbacbbabacbcabaacbaccbcabbabcacaaccbbabbabbbacbcbaacabcacbaacaabccabaaccabcacaacccbaabccbab
+cacccabbaaaaacccaabaccbcabbcbacbabccbbbccbcacaacabbbbcacbccbbaabb
+caaacbaabbcabaccacbaaaacbbabcaaaccccaaabaaacbabbaacbccaaabacccccabbcbccbbbccabcabbcacaabcaacbabbaccbcabcab
+caabccaacacbacccbbcbacabaccbbcbccbabacabbbabcbac
+baaabacaabbaaaaccbbabcacccacbcaaccbbccbbbbbabbba
+cccaabbbaccccbabbabbbbbbbacacababbacaabbbabbbbbaabacaaccbbbcababcbacccbbcbbcaab
+bbaabaccbcbbbcbbbcaabacccaccccbcbccaabccacaabcbbbcaabccbaaaaabaacbaacbbbaaaabcbcbbcbabcbaca
+abcbaabaabbabbaccabbaccbcacccbcaaabcbbcccbaabacacbacccaaaabbbcbbccbaacbcbaabaa
+bacaccabaccabaccbcbaababcaaabcaaabccaaabbcbbabbabacacaabcccaaabcbcaabbcbcccabacbccbccbcbbacbabaaaababbcbcaca
+aabaccacaacccccbcaa
+bbaabaacabcbaccccbaabaaa
+bbaacabaaacccacaaccbbbbaaaaacabcbbbbbcbbbbacbbbcacabbcaaaabccbaaccbac
+abccbacacbaccaaccbabaabababbbcccabbccaabaacabbccbcaaacbbcacbcbcbbacacccbba
+aacbcaabaaabcbcabcaabcbaacaacaababcbbccac
+abcbbabbaaccccababbaabcacbbbbcaaabbacbcbacbaa
+acbacabbabbbbccc
+baaabacabcaa
+acaccacacbcbabaccbabbcbbcbcccbcababbccacbbbabcbb
+aababcbacacbbb
+accaacaacabbaacaabcabaabacbaabbcbbbcbbcbaaabbbccbbbbbcbcbbcabbaabccacccabaacbbccaba
+bccaacabacacbabbaacbcbcabaabbcacabcbacbacccbcaaaabcccaa
+cccccaababbaaaccacaabaabacabbbcbacbcccacaaccbbcbbbcaabcaabcccaaabacaabbcbabcbac
+ababcababacabcaacaccacacbacbcbcbabb
+ccaacbccccaccacbaacacbcbcbbcbcccbcbabaabbcabbcccbcaabccbbaaccacacaabacaab
+ccbabccababbbccacabccaaacaacbaacacabbbcacabcbbbbbacacbccaacbbbccaacbbcacabcbcccbbbcabaaba
+bcacabbcabcbacbbbacbbaaccbaaaccbbabccaabbcabbaaabbbaabbbbbbcacaba
+cacbbabcbacbcbcbbacababbbbbabbbcbcbccccaaaaaccbbcbbccbbbcacacbbaabbbaacbccbccabbbaabccbcbacbcca
+bbabcbccbbccacacbbc
+cbabbabaabbabacaabcaabaccaccbacbbaacaccccaaaaccbccbbaccabcccabbbcbbcaaabbccacbaaaabbabaacbacaccbbba
+aabccbcbcbccacacc
+bbcacabbbcbabacbaacbacbcababacaaccbbbbaaccaaacabbabaabacacccabaccbbba
+bbbacbaaaabaacacbcbbbaccbbabacbcb
+ccccbcccbbcbacbacccbacccabcccbabaaabcaacbbbccacabbbcbccaaaccbcbaacabbccaacabaaacbbbabaabcabcbabcababaac
+accbacccbcccbccabcbcbbbbbbacbcbcaabcababcabcbbcaaccaaaccbacacababacacbcccbbbbabbababbbb
+baccbccbacbacbbabcbabaacbcabaabbabb
+bacacbbcaaacbcbcbcaabcacbcababcccaaaaabaccbcbbaabbccababbcacbbcbccacacacacbbbabcacc
+ccaabcaaabbcbcaacbbaccc
+acaabbcaababbaabbcccabcabccbcaaabbbbaccbacbaccbcbccbaacaabcccbbaccbacabaacb
+ccacababbccbababacbcbcbcbacbbacabaaccbcbabcccbbabcaacabcbba
+bbacbbbaaccbaccbccabaabcabbcbbbcbbacbccbcababbbabcabacccbcccbbccbbacabccbccacbaccaabcaabcacbccbba
+bbbbbacbacacbbbbacbacaabbcbbcccaaaaaccbcacaccacbaaabbcbabaaabcabcbbcacbbabcbacabcccccbac
+cccbcccaccbcaabbcbcbaabaabbbaccbacbacbaaaabbabaaaccacacbaaacaaacabbcabbcacbabcabba
+bcccbbbbcbaaccbbbcbbbcacacaaaabcbbbb
+cbbaaccaaccaaabaaaaabcacaba
+acabcabcaaccbbcbbccaaacbbcaacbbabbbcabbcaabbaacabcacabcbcaaacbbacb
+aacaabccccacbbcabcbbbabcbacbcbbcbcbabccbcbbabbbcabbacbbbbbcaabaaccbcaacaccbbcbacb
+cbcabacabbccacacaccbacccbbcaaacbaabcacccccaabccbaacaacaabbcbbb
+bcbcbabacacbcaaccaaccaaaacccbbbbcacacacbaacabbcbcabaabccccababacccacabbabbaacbccbabbbabcbaacaabcaccacccabaaac
+bbccabacbbcbcbacccbacabbaccbcbaabaccccabbbcaacaacacabbabbcabcaccbbbcbaccabccacbbcccaaccccccacaaccabccacaccc
+babaaabbbcbcbbbbabbacacbcbbbcbabbbbbcaabaaacaccbcccaaabbaacbbabcbbcbcabacabacc
+cccacababacbcaabbaaaabaaaaabcabacaaaaaabcabaacbacaaabcbaccbabaccbacacbcacaaaacbccccbbaccacccbcaab
+acbbbacaac
+bbaabccabbabbbacbbaababcacaaaaacbbcb
+cbacaaaccbabcbcbcaccbc
+bbacccbcaacbabbbacbcbcccbcbbcbacaacabaacaccccaabbcaabcaacccbbbcbbaaabacac
+abbcbbcbbcbbabbacbbcaaabaabaacabbcbbcbabbbbccacaaabaabcbaabbbbbcccbababcaaba
+cbbcabbacccbccabccbacbaccbbbbaaacaaabbbcababbaabbaaacccbbaabab
+caaabcbbacbbaabacabaaababbbacccacccabcaacbaaaacbccbccaaabcca
+aabbaccaacbcccabbacbcbbaababbbabbbbcbcabaaccccbaaabcacaccaaacbcabcbbacbacaacbaabbacaacaaabbccabcbab
+aaccbccabaaacacaaaabcccbacbbbcbaacbacbbacbccaaccbbaacbbaacccaacbaabcaac
+bccbccbaacababcbbacbbbacbbaacbbbbcbccaaccbbc
+ababcbabccacbbbaababcbcccabbbbbaaccbbbccab
+ccbbcbbccbabcbbabbbbabaaaccaaaabaccbbbccaaaaaccaabbabaabbccccccaacaccbbabcbbaccca
+bbcbabaabaabcb
+bcaccacabacabbbbaabbccaaaaccaccaccaccc
+caaaacbaacbbabbaababbcccabbbcabaabccbcbbccaacbcbbbbacaaccbabcbccbcacbbccbaabcbaaccaccacbacacbababcbcb
+cbcbcbbacbbbbbabccbbba
+caaaccacaaacbbbcbcccaacaac
+cababbbcbcaacbcacbacaacbabaabbabcabababbacbbcbcaaabc
+cacbccaaacaaaccbacbbacbccbcaabbcaabacbbbabc
+cbbccbccababbccabbcabaabcbcabbaaccccbcaaaaaacabbcaccbbcbaabaabc
+cccbaaaabccccbcbcb
+acbacbbccaabaabbcabbaabccccbbccbcababbabcacacbccbaacabbabbcabaacb
+cbaaabccbabccacaacacaababbbcccacacabcabbaacbccbbcbbccaabaaabcbbabbbcababbacbcabaacbbbbcabaaa
+abcccaacabacbcabaabcbaaaaaacaabaaccbccccccabcbabbaabbbba
+bcbcabacbcbbcbaacbbcbbbabacccabcabaaabaccbcbcaccbaccbcbbbbbcaabbcaaaaaababcb
+abbbaccbccbacccbbabccccbabbcaabcabbaabbcbacbac
+accbbbaaabbaabbbbccababcbccabbbaaacbacbabccbcababaaabacaacbcbbbaaa
+accabaabacbbaabaaaabababcbcccabbbcbbcabcccbccccbbbacacbacbaccccccabbbcaabbacbbbbbbcc
+cbccbbabcccaaaacbaabcccccccbbacaabbacccababaacabcabcbbbacba
+bcacbabbccaacbccbcccccbacccabbcacbbbaabccaaaccccacaacbbccacaaaccaccbccbbbacbbacccaa
+babcacaaabbcabbababbbbcbbcaaacaacababcabcacccbbbbbcb
+bcbabbccacabbcababcbcbcbbaaaccbbcacabccbaacccccbcbcbbacabcccccbbaacbcacbbbccbcbabababaacacaacbccbaabbabcba
+cccacaccbababcbbbccbccbcababccb
+ccaaaabccacaabbccaaabccbaabacaabbabaa
+bcbbbabccaaabaaabbbbacaaaaccaaacbbabacabaccaabcaccacacccbaabbcccbbabbbbaaaababbaacabaa
+bbcabcacbaaccccaccbbaaabbccccbccabbaaabbcabbacaccaababaacababaabcccbbbabbb
+cacbaacccacabcacacccaababacbcaacccacbccbacbcaaaccbbabbcacbcbbbbccbaccbbab
+caabbababacbabbbcacbcccbbccbaaacacbacabbbcaccacbabababaabaab
+bbaacabcacbcccbbaabccba
+caacbccabccabaccaccaabbbbacaccacbcabaaabbccbaaaacbacacbabbcbcaabaacbbaacbcbacc
+abcacabcaabacccbbcbcbccabaabbccacabcabaccabcbacabacacc
+aaaaababaaabcbacaaabbcaccbccacccabcacac
+acaccabacbcaabaccabacbbcccbacaccbcbbacbacbabcbbab
+cccaccaabcabccaacaa
+acbbbaacabaacabccacbaccacaccacbcbbbbaabbabaacaccaaacabaaaabcbcbabbcccbccbccaa
+abacbccabbacbcbbbcabbbccaaabccccccaababcbaacacbbbcbbbbcbbaacaaca
+bcaabbbcbaacbaacbaaaccabcacccabbbaacbbbcbaacbaccacbccacbabbcbbbbbcaabacacbccbcbcccabcaccb
+ababaacbab
+bccaccbacaaacacbabaccabacaabaaccaabbbca
+caabccbccaabbaababcccaaa
+bacbabbaaaacbbccabcba
+cbbaccbcbbcccbcbaaab
+abaabbbcccbaabccaabbacbbccccccc
+cccbaccccbbbbabbbbccaccabacccbbcbbccbbbbcaabaccccacaabccbaaacababaabaa
+bccaccabaabbaaaacacabcbbcbbacbbb
+caccabbaaccbca
+caababaaaaaaacbaacbcaacccccbccccbcbbbbbaaccbcbbbbcbbbbcbcccaaccabcbabccabaacaaaabca
+abcacabcbbabcbbabcbcabbcabbbbcaacaabbcbacabccbcbababbbacbccaaccababbaacabbc
+babcabcaccacbabba
+aacbcbcccaabaaaaabacbcbbccaaabbcacbbaabbcbcaabababaabaacabbabb
+aacacccbcbacbbbababaccaacaaccabbbabacccaabcacbbabbabcabbcabbcbbbbbcab
+baabaaaacba
+bacabacabbbbccbbbbbcccbacacabbcaccbbcbccbbcbaaabbccaabcbaaacaabccaacaabbbbbbababbacc
+caacababcaabbcb
+bbbacbbababaabcaaaacccacbbacbbcabcaa
+aaacbaccbaccbaaabcccbabcbbababbacaacccccababbcccbaaaacaaacbcacbaccccbabcbabaacacac
+cacbccabaccaacbababacababbcacbbbaaaacacacbcbcacaaabcababccbcabbabcbabbbbcbcaacbb
+bacbbbabbbacacacacbccbbcacbbbabacbccccbbaababbcbbbcbbacbaaacacacbbaaccccbcaaacabcab
+baaccabbaaacaaccabbbcacaaacaaaccacbcbcaaaaabbba
+aabcabacabbaacccbaccccacccaabccbbabaccbabaaaacacbbbcbbacaccbbbccbabababaccaccababbcbcacbaaabacccb
+92 65
+ababaaccaaabcacbbacccacbaacbcabbcbccbcbcbcacabbaccaccaabbccacaaaccabbbbcaabaaaabbabccbccccccabacacabbbccaca
+ababacacabbccbccaabacbbaacababbcbbaaacccc
+abacbccccbacaaaabcabaacbbbcaaabccbbcbaababcb
+bbbcbbbbcaacbaaacaaaacacbbaaacbbcbcbccbaabc
+cacbcccbbcaaaacbbccaaaccacbababbbaabaacabccaabbbabccabaaaacbcccaacacca
+cbaaccbabbaaccabbacacababcbccaacca
+cbacbbcbabcbbbacbcbbcbc
+aacabbcbbabbcbccabbbbcbccbbbaacacaaccccab
+bcbabacaabaabcccacaabbbabbbbcc
+abccaaccbcccbbaaaabbaabcacbbaccbabcbbbbaaacacbabacacabbbbaccabbcbbbcbbaabbbccaabcacbbacabaabcb
+baaccbbabbaabacbbacbbbaabc
+abbaccabaabaabccabcaaacbcabbcbacacabbbcacbaccccaacccacaa
+baacbcbccababcaccabaacaccabcbccbacaaaabbacaacbaccccaaaccbbbcbbab
+ccbaacaaacabacacaaabaacabbccabcaacccacaabacabbbacca
+aabbccbabbccabcabcccaccbbcbcbcccc
+baacbbaaacbabccbacabaababbaccbacccabcabacccbccbbbccc
+baaaabcaccbaacbcbcccbccccbabccbbabcabcaaccabbcbabccacaabaccaacbacbbccbaaaaaaacaaccabcaccacbb
+aaacabaacbbcbcabaaababcaacabacaaababababbbbabccbbbcbaabaaacca
+bcaababacbacbabbcbabbbaabcbacacacabbcaaccccbbaaaaabcbcbcbabbbbbabacbaccbbbabaaababaccabccb
+bbbacbabbbacccccacbbbbabababccbcabcccbabaacccaacbcaaacacacbbcabcbacbabccaabcabbccbccccccbccabaab
+bcbbbaccaabacbcaacbcbccbbbccbccacaaacacaababaccbcbcbbaaacaacabacacbac
+acbcccaccccbbbcacbcacacacababaabacbccacbaabbbaacaabaacabaab
+babaababcacabcbbbaccbbcccbbaacababaccccbbcbcaaaacaabbaaccaccccbaaaabccacabcaaaaaaabccaabccccbacac
+bcbabaabbaabcacacaabcbbbbc
+bccbcaaacccaabacacbbacccaaaaccacbccaccabcabc
+acacbcccaaabbacbababbcbabcacabcbacacabbacaccbacabaaacaabcaacacbccbccaabbaacabaaaacabccabbbacabca
+cacabcaaaabaacabccbbbcbccbbbcababacabcbaccabbcbbaa
+bccbabcbbbccabbbaaaaacacaccbbcabbaaccabaaacbacacacaabbacbacaacbcbbbccabaabacbacaabacaac
+ccbcabaccacaaccacbcccbaaaabaaaaacabccabbabacaabcbbccccbabbaaccaaccccbbbaaabbcabac
+bcbccbccbccccbbbccbcbabcccaacaaccaabcccabaaababac
+aabababbabcccbb
+aababacbabccbbabbbaaccaccccbbcccabacccbababbbaabbababcaababbcababbcb
+aaacaccbbaabbbbbbbabcccaaacbbacccaacbcccabbbacbccbcacbc
+babbaabbacaababbccaacaabccabcabbbbabcaaa
+cabababccbabbaaacbcbbabaaacbbbac
+abbabcbbbcaabaccbbbacbccbacbcabacbccaababaabaccbcaaabbcaabbacccacbabaabbbcbaccabacabcacacccbacbaa
+bccaacabcabab
+cbaacababaabbbbbbacacbabcbcaaabbbbbbcacaacc
+bbccbccabbcbcbcabcabbbccbacbccbbcaacbcaccbcababaacbabccccabccbcacbaaaabbccaabcaacbabcbcaaabaaccaccbccccba
+bcccbcbcaabaaccbcbcccaaabacbbcccbcacaccacaacabbbabacccccccbbaabcbcacccacacc
+cbbcaabaacbbbaaaccabbaccabacbaacacbabcbbbbbaaccabbcaabaacccbaaccbaccccbcabbbbbbbbabbcbacabbbbabaabcabcabcb
+bacacbbccbbccccabbabbaaaccbbcbbbbaaacaccababbcacaabccabcaabcabaacbcc
+cbcaccbabaacacabcaacaacbacbbbcacaabcbcbababbacbccabacacccbbbbbbbcbcbacacabbbcacacbbbbbabbbaaacccbcca
+abcccbbcabbabcbcbccbcccacacacbbaacaababacabaacbabbaabccaccabccbcccbc
+cccaabbcbcacabacbcacabccbaaaaccbbcccbacabcbbabcccbabbabcccacbbbbcabbbabccabbbcacbaacabcacaccbcbaccabbccbbabbc
+acbaaaccccbcbbbacaabaaacabbaaababcaabcbcccccccabbcabaacabbbcbabcbb
+bbbacacacccccbbcaaa
+bbcbcccbacccacccbaacccabacbbbaaacbacabbcabbbccabcbcbcccbcacaaabbbcbac
+cbccabccacbaaabacbaccbabcbbbbcbcaacbbca
+bacaccbcbcaacbcaacbacbabbbabcabacabcbcccaaac
+aabbaabaaccababcbbbccaacacbbbccabbbabbbcbcbbccabcaac
+aabcbbbacbbcbccbcbccbcbbbbc
+bbacbbcabaccbbbc
+babaabccbcbbb
+cbccaccbaccbbabbcbccaabaababcccbbabcbacaccbccbabbaacacacca
+abaabccbaacbccccaabaaccbccaaabcbbbcacaccbcaabaacabbcccbcacbc
+cacaabcbbbbcccbcccabacbaabbcabaacaaaccccb
+aacccbccbabababbcb
+abcaacacbcccbaacaacbabccccaca
+ccbbabcabaaabaaacaacbcbabbac
+acabcbbaccaaaabbabaacccabacaaccbcaacbbccabcbbab
+acababcabaabacaacabaaacacbaabcabbbccbababcbaacaaacbcbbbaacbcaaacbabcbaaaccaaabccacccacbbaaa
+bcacbbabacaababbcbbcbaaabbccbcbbbbacacaaaabacabcbcbbcaacaaabbcaacabccccbbcacbacabcacaacacababbbbabaa
+abcbabaaabaaacbcbccbbaabcabaaccbbaccbccbbaaaaabaabacacbabcaccabcbbaaaaaabbbbabaabaaaaaa
+abbacabaccbbcabcaabbcbacaaaabaaccabaacbcbcbacbbbbacabacbbabccbaacccbccbbacccacbbcbbacaacaccaa
+bcabbbcacbabcacbaabaacbbbabbccbacbcacabcacbccabacaaacbcc
+abcbaccccbababbcbbbcabcacbbb
+acccabbcabbbcacabbacacaccbaaacbccaacabaabbc
+abababababcaabbba
+abcbaaacabcccbacaccabcaccccbaccbabbaabababaccccbbccbbcbbabaaccaccaaabaaabaaacbbbcacacbcbaaabbbbaaabbaacb
+bbbccbacacabccbbabbbbccabbcacbbbcaaabababcbabbbcbcbabbbcacccbabcccbcabacaaacbbbbaabacbccbcaaccbcabbbcbb
+caaacabaabbccbccacbcccaaccaaccabaacabacacacaabccaaccacacaabaacaacbbab
+acbacbccacccabaaacbacacbbbcbcbaaaccbabccbbbcccbccabcbaaaabaaccaaabc
+abcabccaccccabbaccbbabccbbcccbababcabcbccabacbaabaabcbbacbaabaccbacaaccacbabbcbcbbab
+acbcaaabcbabacccabbbcbccbacbabbcbcabccbbccbabcbcbbabbcccabcaaabbbbbcbbbbcaabb
+baabbabbaabcabbaabccbabbabcacaccaaacccbababcbabbbabcacbacbcababcbcbbcbabbcaaccccacacbbaaccccccc
+bbaccbabbbbbcacbbbbaabcbcacbccc
+cccbbaacccbacbcbacbabcbaaccccabccbcabbccbacbccbacbbaacccbcc
+bcccccbbcbaabcbabbcaabbbcbabbaacccbaacbcaccacabcaabccbccccccacabcccbbbbbbcacbccbaabcbcbaba
+abbacbbacbacabaaaacbbabcabbcaacbbaacbcbbacbcaacbbbaaaccaaccbcbbabaaabaabaccbbacabcaaccabbccbbbccaabacbccbc
+bacbaabcbbbcbccbbcbaaabbabaabcbccabbbcacccccbccbcbcbaacaaabbabcb
+acacbbabcaaaaacacabcbcabaaaaccaaabaacbbbbbbcababbcabbacbaacabcacacaacbccacccaabaccccaaaababbacbbbcacbbcbaabb
+ccbbabaabbbbcbaacbaaccabbcbcacb
+abccacccaaacbcbbbcacbababbbbcacbccaccbabbbbcabbcaaabcaacbc
+bacbacccbacabcccaccbaabababacbaabbaaaacbabccacbbacababc
+ccabaabcacaaabaaabcbbabcbbbbcababbcacaaacccbbccbacbababcaacbbabaaacbbbabaabcabacbabcbbabcbbbbabbcc
+caaacccaacaacbcbbacacabccaaacbb
+acaabcaabbabccacbcbccacabaacaacbcaaacbaaaaaabccbcbbaacacbaabbccbabbbabcbacaac
+bbaabbcaacbbbacbbbcbaccbcaacca
+baccabcaaacaacbbcbabbacccabccaabcbcbbacbaacabb
+caabbbbaaccababcbcbacabccaacbaaaaccbaacccccbabcaabbcacccccacbcbcabababbacca
+bbabbbacacbccbacccabbcaacaaccbccccaaaacbbbabcbbabbbaacbccaaabbaccaaacaacbbbacaabccbcbbabccbcccbbacaabcaabbbc
+195 87
+aabaaabbaabbbbabbaabbbabbaababbbabaaabbbbabbaaaaababbbbbaaababbaaaaabbabbabbbbaaa
+bababbaaaab
+baaaababaabbbaaaabaaabbababbbb
+ababbbabbbabbbabbbbbabab
+aaaaaabbaababaabbabbbabbbbbbababaaaaababaabbba
+bbabbaabbbabbbbbaabbabbbbbabaaaaaaabaaaaabababbababababbabab
+ababbbbbbaaabaabbbabbbaabbbbaababab
+aaaaaabbbababbaaaaaaaaaaaba
+baaabababaababaaaa
+babbbbbbabaaaababbabbbaaaabbaabaaaaababaaaaabbaaaababbaaabaaababbbaabbabaaaabbaaabbaaaabbabaabbbbabbbaabbbba
+baaaaaaaaabbaabaabbbbaabaabbababbabbbabbbbaabbbaabbaabbbabbaabaaabaaaaaababbaaabaabaaba
+baabaaaabbabbbaababaaabab
+bbaabbaabbbaabbaaaaabbabaaabbbabbabbbaabbaabbbbbbbabbbabbaaababbabbb
+babaaababbaaaaba
+abaababaaaabbbbbbabbabbaaaabb
+aaabbabbaaabbab
+aabaaaaaaabaaaaaabbbaabbaabbaaaaaabbba
+aabababbbabaabbbaabbaabbbababbbaaaabbabaabaaaabbabbb
+bbaabbbaaabaababbaabaabbaabaaaaaaaaaaaa
+baaabbbabaa
+abaabababbaaaaaaaaaaaababbababbbbabaababbbbbbbababbabbaabbaabbabbbb
+abbababbbbbbbababbaaabbbaaaaabaaaabbaababbabbbbbababbbbaabaaaababaabaabbbabaaabbaaabababaabbbb
+aabaaababaaabbabbabbaabbbbbaaabaabbaaaa
+aabbabbabbbabababbbbbabbbababbabbbbbaabbbaabbbabbbbbaaababbabbaaaaaabaabababbabbabaabaabbabaaaababbbaba
+aabbaabababbbaabaabababaabaabbaaabbabaaaaabaaaabbbbaabbbbaabbbabbabbaaabbaabbaababaabababaaaa
+bbabaaabaabaaaaababbaababbaaabaababbabbababaaaaaabbbaaabababbaaaaabbabaaaaa
+baaaabbbbababbaaaaababaabbbaaaaaabababbabbbabaaaabbbbb
+bbbbabbabbba
+baabaaaaababaababbabaabaabbaaabbaaaaab
+baaaabababbababbbaaaaaaaabababbabba
+aabaaabbababbbbbabbabaababbbbb
+bbaabbabbaaababababbabbaababbabbbbbabbabbabbababbbbaabaaaababbababbaabbabbaabbbabaaaaaabbabaababbaa
+baabbbabaabababababbabaabbabbbb
+aabaabaababbbbbaabbababbbbbbbabbbbaabbaaaaaaaaaaaa
+abbabaabababaaaabaabbaaaabbbbbbababbbbaababbaabaabbaababbbbbaabaabbaa
+baaabbabaabaaba
+abaaabbaabbbb
+abbaabaabaaaabbabbbbaabaaaabaaaaabaababaabbbaaabaaababaaaabbaaaababaababa
+bababbbabababbaaabbbbbbbbabaabbbbbabaaabaababbbaaaaabbabbbbaaabababbaaaaabbabababbbbbbbabbbaaabb
+aabbaaabaabbbbababbbbbaaabaabbbbabbbaaabbabbaabaabaaabbbbabaaaabbbbabaaabaabaababaaaaabbaba
+baaaaabbababbaabbbaababbaabaabbabbbabba
+abaabbaaabbaaaabbba
+baaababbabababbabbaabbaabbbbababbabaababaabbaabbaaaabbaaabaaaabababbaabbaababbbaa
+abababbbbaaaababbabaaaaaaabbababbbbaaababaaabaabbbaaabbaabbabaabbaaaaabbababbaabbbbabaabbabababababba
+abaaaabbbaabaaabbabaaaa
+bbaabbabbbbbbaabbababbbbbaaabbaaababbabaaababbabbaabbbbaaabaabbabababaaaabbbbaababaabbaabbabbb
+aaaaaabaabbaabbaabaababababaaabaaaaaababbbbbbabbbaabaaababbbaabbbabbbbbbabbb
+abaaaababbbaaaaaabbbbaabbaabaabbbbaaababbaaaababaabbbabaabbaaababbaabbaabbbbabbbbaababbbbaababaabaababbaaabaa
+baabbbaababbab
+aabaaaaabaabbaaaabbbabaaa
+abbaaabbaaaabbabbbaaabbaaababababaaaabbbaabababbbbbbaabbababaabbbaaaaaa
+aaabababbaabaabababbabababbbbabbaabbbabbaaababbbbaabbaaabaabbbbaabbabbbabbbbbabaa
+bbabbbbbababbaaabbbbbaabbaabaaaaabaabba
+bbaabbbbaaaaaaabbababaaaabbbbaabbaabaabaabbbabaaabaaababaabbbabbbbbbbababbabbbbababbbbaaaabbbabb
+baabbaaaaabbabbbbabbbbbaaaabaabbaaaabababaaababbbbaabaabbabbbbabaaaaababbbbaabbabbbabbb
+aabbabbbbbabaababaabaabbbbabababbaaaaaa
+baabbbbabbaaabbabababbaaaababababaaaaaaabbababbbabababaaababbaaabaaaaaa
+abbabbabbbaabbbabbaabbbabbbbbbbbbbaaaaaaaababbbaaaaaabababbbaabbababababbaabbbabbaabbbabbbababbabbb
+bababaabababaaabbabaabbbaaaabaaa
+aaabbabbaaaabaaabbaabaaabababbaabaabaabbbaabaaabbabbbbabbabaaabaabaabbbbbababaaaabbbabbababbabaab
+bbbbaaababaaaabbaaabaaabaabbabaaabbbbbbbaaaabaaabaaaabbaababaaababaabbbbbbabbbbabbabb
+baababaabbabbbbabbaaabbaabaabaaaaaab
+abbabaababbbababaabbaaaabbaaababb
+bababababbbaabababbbaabbaaaaabbaaabaabaabaababaabbababbaabbabbbabababbabaabb
+bbaabbbbbbbababaabaabababbaaababbbbababaaabbabbabbbabbaaababbbabbaabbaabbbbbbaaaaababbabbaabbbbaaabab
+bbabaaababbbbabaaaaba
+bbabbababaabaabbaaababaaaababbbabaaaaabaaaabbaaabbbbbbbbaabbbbabbaaabbabbbbababbbbaa
+bababaabbbbababbbbbbabaaaaaaabbaabbbabbaaaabbaababaaabaaabaabaabbababaaaaaaaaaaaaaababaabbabbaaba
+abaabaaabaabababbbbbbaaaabaaaabaaaabbbabbaabbbaababbababababbaababababb
+baaabbbaabbbaaabaaaaabaabaababaabaaabbbbabbabbaaaba
+bbbabaaaaabaababbababababbaabbababbabbbbbbababb
+aabbbaaabbaabbbbbbaabbbbbbaababbabbbaaabbbbaabbaabbaaabbbaabbaaababbbbbbabbaaaabbabbbbabbbbaaabbbaabbabbbaa
+aaabababbabaaaaabaabaababaabbabbbaaaababba
+aabaabbbbaabaaaaabbabbaababbbaabbabbbbabababaaaababbbabaabbbabbabaaa
+aabbbbbbbbbabbababaaabbabbbabababbbbaabbababbbb
+bbbbababbbbbbbbbabbabbababaaabbbabaabaababbbaa
+bbbbbbaabbbbaaabbbbbabbaaabbaabbaaaaababbbbbbbbbaaababab
+aabbbaaabbbabaabbbbbaabbbbbbbaaaaababaabaaaaabbabbbabbbabbabbabaababbbbaaaaaaaaaabbaabaabbaabaaaaaab
+abbaaabbbbaaaaabbaaabbbaaaababbabaaaaabaabbabbabbbaaaaaabbbaaabaabaaabaaabba
+bbbababababaaaaaaaaa
+abaabaaabaabbaaaababaaabbbbbbbababbbaabbbbbbbabab
+abbbbaabaabaabbaaaaabbbabbbaabbaababbababaabbbaabaaabbbbbababbbaabaabbaaaaaabbabbaaaabbbaaaabbababbbaabaaab
+baaabbaaaaaaabaabbababbbbbabbbbaaaabaa
+baababbaaababababaaaabaaaaaaaabbaaabbb
+abbbabababbbaaabbbabaabbbbbbbbbbbbabbaaabbaaaa
+baaaaabababababababbbaaabbbbbbbbbaabbaaabbaaabababbaaabbaabbbaaaaab
+abbbaaabaabaabababbabbaaaabbaaabbbaabbbbbabbbabbbaaaaaabbbabbbaaaaaaaabbbbaabaaaabbbabbbbabbbb
+aaabbabbbaaabaaababaabb
+aabaababbbbababbbabbaabaaaabbaaabaaabaabbbb
+babbbbaaaaabaaaaababbaaabba
+abbabaababbbabaaabbbaaababaababaababbbabaabbabbaabaaaabbaabbbbab
+aaaaabbababaababbaaabbabaaaaaababaaabbabaaaabaaabaaaabbbababababbaaaababbabbbabababb
+aaaaaaaaabaabbbababbaaaabaaaaaabbabaabbabbaabbbaabaabaaaabbabbbaabbbbaaaaababaaaababaaabaababbbbbabb
+bbbbbbbaabbabaaabbbaaabbbbaabbabb
+aababbbaabbabaaaabbabaaaabbbabababaaaabbbbbbbbbbbaabbaaabaabbabbbbabaaaaaaaabaaaaabbbbbbaabababbabbbabab
+abbaabaaababababaaabaaababbbbabaabbbbabbbbaaaabbaaabaabbbbaaababbbbbbbabbabaaabbabbabbaabbaaaaabbbbaab
+bababaabaaabbaabaaababababaabbbbbabaaabbaabbbaaababbbaababababaabbbaaaabbaaaaabababbaaaa
+aabbbabaaabbbaabaaaaaaabaabbbabaabaabbaaabbababaabaababbbbaababbabab
+abbababbbbbbbbabbbbaaaabababaabbaaaaaabaabbaababaaabbaabbaaaaab
+ababbbabbbbbabababbbabaaababaaabbbbbabaaabaaaabbbabbbbabaabaabbaaababbbbaaaaaaabbbaabbbaabaaabb
+baaaabbbbaaaabaaaaaabbabbaabababaaaabaabaaabbaaaaabaaaaaaaaaaabaababbabaabbaaabbaaaaabbabaabbbbabbab
+bbabaaabbbbbaaabbababbaba
+abbbaaababaaaabbabbabaabbaaaabbbabbbaa
+ababbaaabbabbaabbaababbabaaabaa
+abbaaabbabbaababaaaaabbaaabbbabbbb
+bbbaaaaabbbbbbbbabaabbababbbabbabbababbbabbabaabaabbbbabbbabbbaaabaaabaaabbbbbbbbbbbbaaaababaaabbaaab
+baabbababaaabaababbabbabababbaababaaaaabbbbababaabbbaaaabbbaababaabbbbaaaaaaababbbbaabbaabbbbbabaaababa
+abaaabaaaabaaa
+baabaaaabaababaabababaaaabbbaabbabaabbbabbbabaabbaaaaabbabaaabbaabaabababbbaabaabb
+bbabbababbbabaaababbabaaababbaababbbbbabbbabaabbbbbbbbabbabaabaaaabaabbababaaaaabaabbaaab
+aabaaabbaaaaaaaabbaabaaabbabaabbbaaaabbbbabbabbabbaaababbabaabb
+abaaaabaabaaaabbaaabbabbbbaaaaabaaabb
+babbbaabaaababbbbabbabaaabbbaababaaabaabaaab
+baabaabbbbbabbbaaabbbaabaabbbaabbaaabbbabbabba
+baabaababaaabbaababbbaaabbabababaaaa
+babaaabaaaabbabbbaaaaaaaaaaababbaabababbbbbaaabaaababbbaabababbbabbaabbbabbabaaababbaabbbabbabbbbbaabba
+abbbaabbabbabbbbbaaababbbbaaaabbbaabbbaaabaaabbabbbbabbbbabbabbabbabaabbbbaaabbbabbaabbbabbaaaaab
+babaabaaababababaabbbbababbaabbbbaabbbabaaaaa
+bbbbaaaaabaabbabbaabaabaaabbabbaabbbaabbabababaabbaaaaababaaabaaaaabbbaaabaabbbabbbbbbabbabaaa
+bbbaabbaaabbbaaabbabbbababaabbbabababababbbabababaababbbbaabaaaabbabbba
+ababbaaababababbaabaaaaaaaabbbaababbbaaabaaabaaaabbbbbb
+abbaabbabaabbbbaaabaabaaaabbbabaabbbaababaabbaababaabababbabaa
+aaaaaabbbabaababbabbbbabbabbababaabaaaaabbbbbbaba
+baaaaaabbbaaabbbababbbaaabbabbbabbaabbbbaaabaabbbbba
+babbaaaaaabbbabbbbbbbababbbababbbbaabbbbbaabbbaabbbbbbbabbababaaaabbabbaaaabaaaaaabbaabaaaaaabaaaaaabbb
+baaabbbabaababbbbbababbaaaaabaaaabaaa
+baaababababbbabaabbaabaaaaaabbbaababbaabaabbaababaabbbabbbbaabaaababbaabbbabaaabbaaabbababbaab
+aabbbabaaaabbbaabbb
+aababaaaabbaaaaababaababaaaaaaaaaabbaaabbabaabbbbbabaab
+baabbbbabbaaaaabaaaabbbaaaaabaabbababbbbbababaaaaabaaababbbbbbaababbaaaaaaabaabbabb
+babbabababbabaababbbbbaaaabaaabaaaabbaabaabbabbbababbbaabbaabaabaaaaababbbababbaaababbaabbabababbbbababaabba
+ababbbbbababbaabbaaaaabbbbbbbabbbaabaabbabaabbbaababbabbaabbabbbaaaaaaabababbababbbbbabbbabbbbaab
+abaaabaabaabbaabbbabbbabbbbababaaa
+aaaaaabbababaabbbbabababababaaabbbabaaababbaabbbaaaabbaabaaaabbbababaaaaaaaababbbbbaaaba
+baaabbbaaaaababaaababababbabbaaabbbababbbbaaabaaababbabbbbaaababbbaaaabbaaa
+babababababbabaabbaaabbbbaa
+abbbbabaababbbaabbbaaaaaabbbbababaaaabaababbbb
+aabaababababaaaaabaaaaaaabaaabbaaaaababababaababaaaaabaabbaaaaabbb
+ababababbababbbbbbbbbbbab
+baaabaaaaabbaaaaabbbabaaaabaabbbaabaabaaabbabbbbaaabbabbbabaababbbbbaabbabbabaaab
+aabbbbaabbbabbba
+abbbabaabaabbbabbb
+aabbaabbaaabaaaaaaaaaabababbbabaaaababbaaabbbaababbbaabababbbbbaabaaabaaaaaaaababbaabaabbbabaababbbbbabbbaaab
+abbaabaabbbbaabbbbaaaaababaababbaaaaabaabbabaaaaaababbbbaabaaabb
+baaaabbaabababbbbbbabbaabaabbbbbabaaaabbababbabababaabababaababbbbabbbab
+abbbaabaabbbabbbaabaabbbbabbbbabaabbababbbb
+aabbbbabaaaaaaababaaaaabbbbbbabaabbbabaaaababbb
+baabbbabbbbbaabbbbbbabababaabbbabababbbbbaabbb
+baabbbabababaaabaaabbbabbbaabbabbbabbabbbbbbaabbaaaabaaabb
+bbbbabbabaaababbbabaaababbbaababbbbbabaabaaaabbabbbaaaaab
+baabaaaabbbbaaabbbabaaaabaababbbbaaaaababbaababbabbaaababbbbabbbbbbbbaaababaaaabababbb
+baabaabbaaaaabbbaaaabaaabbabbbabbbbaaabababbbababaaababaaaabbbbbbaaabbbbaaaaabbaabaabbaaaaababbbaaabaaaab
+bbbabbbbabbaababbbbaababbabbbaabbbbabaabbaabaaaaaaaaabbbaabbbabababababbbaaababaaaababaab
+baaaabbbbbbaababaabaaaaaaababbbabaaaababbaabaabaabaabbbabaaaaabbabbbaaa
+aaaaababbbbbabbabbaabbbabbaaaababbbbaabbaaaabaabbaaaabababbaaaabbaabababbabaaaaaaaaaabaabbabab
+aabbaababbbbbaabbbbbbbaaabbababbbbbabbaababbabbababb
+abbaaaabaaaababaabbaaaaaaabbbaaaaaaaababbbbbabababbabbbaabbbbbaabbababbabaababbbabbabaaa
+baabaaaabababbababbbbbaabbbaabaabbbabaaabbbbbaaaaabbbabbabbaaaabbbbbabbbbabbaaabaab
+abaababababbbaabaaabaabaaaaaa
+aaaaabbabaaabaabaab
+babaabbaaaabbbaaaaaaaabbaaabbabbaaabbabbbbaaaabaabbaaaabaaababbbbbaa
+aaababbaabaababbb
+aaaabaaaaabbabaaaaababbabbbbbbbbabbbbaaabbaaaaabbbabaaaaaaababbbababbaaaababbbbaaabbbbaaabaaa
+aaaababaabbbaaabbbbbaababbbaabbbaaaababbabaabbbababaabaaaababaaabaaaababaababba
+babbabababbbabbaaabaaabaabbbbabbbabaaababbbbbaabbbaaaabbabaaabaaaababbbaaaaaaaaabbbbabbbbbbaa
+aaaaaaabbaabaaabbaabbbbabbaaaaaabbabbabbbbaaaaaabaaabbbabaaabbbbabbaabbbbbabbbababbabaaaabaaaba
+abbaabbabbabaaaaababbab
+baabaaaababbaaaaababbaabababbabbaabaaaabbbbaabaaaaabaabbbbababaabbbabbaabbaabaa
+aabbbabbbbbabbaaaabbaaababbabbabaaaaabaababaaabbbaabbbabaabaaabbbaaabaabaaaabb
+babaaaabbaaababbbbababaaabbbababbbaabbbaaabbbaaaaabbbaaaaabbbbbbbbbabbbbabbab
+abababbaabaabbbabbbabaabaabaaabbaaaabbbaababbabaaabaab
+bbaabaaaabbabbbaaaaabaaabbbbaaaaababbabbaaabaaaabaa
+abababbabbbbbbb
+babbaaaaabbaaaab
+aaaabaabaabbababbbbbaabbbbabaaaabbaabbbbaaaabbaabbabbababaababaaabbbbbbabaabaabaaabaabbbbbbbbabbbbbbbaa
+bbaabbaabbbabbbbbbaabbababbabaaaaaaabaaabaaababbbbbaaaaababaabbbaababaaabaaaabbabbbbbb
+ababbbabbbbaaaaaabbaa
+abaabbbbbaabbabbaaababaababaabbaabaaabbbaaabbababbaaabbaaaabbbabbbbaabbbbbbabababaaabaaaaaabb
+abbabbbaaabbabbababbabababbbaa
+abbaabbabbbabbbaabbbbbababababaababbbabbbbbaabbabbabaaabaabbbbbaabaabbbbbabbbababbabaaabbbabaaaaabaabaaba
+babbbbababaabaabaababbaaababababaaaabbbbaabaaabaababaababbabbbb
+baabbaabababaaaaabbbbababbabbbbabbababaaaababa
+abbaabbabababbabbaaabbbaaabaaaaab
+abbbbabaabbbbbbaaabbabbbbbabaaabbbbbaaaaaababbbbbbabbbabbbabaabbaaaaabbaa
+bbbabaaaababbbabbaababababaa
+ababbbbaaabaaaabbaabbababbba
+aabaaababbabaabbabaaababaababbabaabbaaaaaaabbbababababababbbababbbaab
+abaaabaaabbbbbbbaaabababaabbbaabbaabbaabbabaaaaaaababbaaabbbbbbbabaaaaaabbababbabaabaabbbabababbaaab
+bbbabbabbbaaabaababba
+abbbbbbbbabbabaababbbaaababbaaabaaaaabaaaabbbbbbbabbaabbbabbabbaabbaaaabbabbaab
+bbaaaabbabbabbbababaaababbbbbbaaaabaaabbbaabbabbababbaaaababbbbabbaaaab
+bbbababaabbbbaabbabbabbabaaaababaabbabaabbbbaabaababaaaababbbbababbabbbb
+aabbababaabbbaabababaaababaaaabaabbababaabbaaaabbaabaabaaababbbabbabaabaabbbabaab
+aaabbbababaaabbaababaababbbabaaaaaabaabaab
+abbabaaaababaabbbabaabaabbbabbaab
+45 1
+bcabdcdabdbbcdcbabbdcabccdddccbdaabddadddcddadcaaababaccb
+accbdacbdcadccbabbdbcbbaadbacbbddcbabacabaaabcdcdbaddacbcbdcadacdcabad
+caaccbbcaadcdbcbbbddbbdadaacdaabbacccaabdabcadadaccdddcabbcdadbdbc
+acbdcbbbdbabaabbbdbcdacabccadaccdadbdbacdadcbbdcbbdcabaaddcbbabbccaacdaacdabbabbbaadbcadcddacabdabbabbbba
+acadbbbdaccdbdabadd
+caadcadcadcabbbcbabdaaaaaddddbdddcacbbaadcccbbdcdcdcddaabcbaccdcacdbccaddcacccbbddababaabdabccdccbd
+dbbccccadcbdbca
+acabacdbcbacdccdbcbcaabcab
+cccdcdccdbbbcbadacbcccaaacaacacccccaabaaaabadadbaacdacccbbaaababbccddbaabdbbbcdcdccaddcaba
+acdddddcddcccaaaccaccdabbdacdababdccaaadcbabaca
+baacbcbcdcddabaccdcdbcbbbaadaccdcaccbcbabbabdcbaddcbdbccbaddbbaababbdacadcbabcccbca
+abacdacbbcdccbdbcbccdcccdbcadcbaccbdaadbaaabaddcddacbdbcdaacaacbbccddcaaccdadcadc
+caadccbbbcacbbbbcacdacabcdacddcaadaaabcbdcdaccaa
+badbbbacbdcdadaabadcbdabdbdbbccbddcbadddaca
+bdcadaccdcdacbaacdabadbabdddbcbaccbabbdbdcbdabcdcdccbdbdbbbbbbaaacdcabbaddacbcaccaabdbcdbdaabac
+ccacbcddbcccdaabadaadbbdcddaacacabbabdacbaaddaacdcabbdccbdacaccabbcaabadaddaadadcabbbacaaddddadbbdbd
+cabaccccbdddaccacbbbacdaabaddaaccdbddcbdbdbddab
+cbbaababbaccdbddbbbaccaccbdadcadcddbbbcbaaabbdddbbaa
+bacaacbdaddbacdcbbdaddbccccdaaaaaacdaabadaccacccabadabcacaccbdcdabcddbcdcacccaccacdcacabaacbccbcaadddadaababc
+dbcbaabaaddbdcdcdddbaabbbdaddcdccbddcdbaaacaaacbabdbdaadaccadcaacdcbbbabbbcbdcaacbabcccdcabcabcdaba
+bbacbccacacadaddccdbbcadddacddabbcdbddcccddadbcadbabcdddbcbdaddcddabbcddcaabccaccbdacdcdbcdaabcd
+bcdbdaacdccdadbbcdbabccbdbbabbcdccdacaababbbcacacaaddcbcbccdad
+badcbcbbadddcabdadabbdcddadbbababbbdabaddadaccabaadaacbabcdcdadddaddcdbb
+cbbdacbcdabddbbacdbdcddaadadbcbaccabbdbdcabdcaadcabcbbaccabcdbdbbccccbcbaa
+dbdcbcbaadabaabacbcbddbddcbaba
+baddbcbacdacabddbdcdbccaabb
+bacddcbcdcaaaabdbcabaddcbcbddbaccaddddbcccabccdbcdbbdbdddbcdadbacabacaaadabbdbabcbdcbccbd
+dcadddbaadcdbcbbcadbccdccaadbbabaaccadadcccacddaaddacacabababdbbbaccdaddccccdccaddbabdadbabaaaabdb
+bcaaddaacdcbdadccdddabcbaaabababaaddcdbdddbdabcdcabddbcccaacbabad
+babdaabdccaddcdccbabaabdccaacdbcbaccdacccdbaddacddaacbdcadaabcabbbbcddaacabccca
+cbacadaabdacbccbadaabbbaccbdccbaaacbcdcaddadbaaaabbdcddabaadadcddacbddbbacccd
+addccdbcbadaddddabbcdddcdbbaabaaddcddddbacdbbdbaadbddacbaaabacbccdaacccaaddcbbbbab
+aaccddcadadbdcaaccdbdbaadbabaadcadccbbadaadbcdbcbbcbcbabddaaacababdacdaadadabcccddabdacbcbcbabbdcacbc
+ddaddddcacccdabadbccadaccaacabdcbbbbcabbacacbdccbaabbbacaddacdaacaccbcbbccdccbddacbabccbbcccddacbcbc
+accacdabddacdbacddbbcdbcbcaaacabdbbbcbbaadacadcadccdccbabababbbaacbbcdbddddbbbbdbadccabd
+dccdddcdcbcddaabcdabcbdbdcbabdbaacaccbdaabdabccacadbcaadca
+bddbaadbaddcdccaaddacddaaaddadcdbcaaaacbcadadadcbabadcbcabbcccbcbddabcdbbcccbbabddcddbadbacddccbccaba
+bcacbbddaabddcdccbbaabdddabdadbcbacdcbbdcc
+dbcdbdbbdabbcabcbccbcac
+cabdaacdbbbacacacdaaabcaacbcdabcbcbbacbdddccba
+addadccacbbaaaddabdaccccadbaccdcacdaacaadcbd
+abaaaaabbdabcadcbdacbd
+abdbdaabbccbcabbcdadcaac
+cbdaaacccdbbcbbcddadcdabdcdadaaad
+daabbacbdbdcddcbacbbdadcadaccaacaabcbadaabdbdada
+105 21
+abacadabbbcacdbabbcbcbaddcdccbbacbbcdabbacbdbdadccdbcbbbdbdbbdcacaadbcddbbddd
+dbcdcdadbcbabadcbcbcadabdbdcaadbdcbbbadccbbddcb
+bbcddcaccaddcabaacbbddabbdadbabdcbaccdcd
+bbcbbadaadbadacdbaacbdadaccdacdcdcdbcbcbbabaddacbdaddbddcdadbcbbcdacacbc
+cdbabdccbababccaddbbdcaadcdcdacbabcaacdababadaaacdddbcbabbcddccadddabdbddcdacd
+dbdcaabdabdbcabacbcdcacacdaccabcaabdaaccd
+dddbabcccaadbccabdadaacdddddcadabbbadcdcaacdcccbbddcdbad
+bcacdbbaaccdcadadbcabcbdadcaccccbdaaacbdadaacbabbacaabbacccddddaabbdbcaaccddcccdbbcdddb
+bcdcbccaaadccbabdbac
+cacadbbddacdbdbddabbaaddadaddaadddcdccdcbaabaaaadddcbcabcbccdcadbccabccaacccdbcdcdb
+dcadcbcabaabdcdaaccdbdaaaa
+acaacabbcacbcaabbbcdadddbaccaccbacbbcadbaabbaccdbabdcaaacbcbacaabcccdaa
+dacdbbddbbcdcbdcbccdc
+bdacbacbcbdadaabadbaddbacbbbdbdadddddbdabcdbbcabcacbdccacbbbabcdcbbdaaccababbcdcbbbba
+ccbbacacdddaddcbddbcaacadaddcadabadcbdaacbaccacdcbddaaaccccdbbbacacacdccccdccccdccaccadaccd
+bbcadaccdadbdabbdbabacbcbbaacbabbadabdcaccdcacdcacdbcbaadbcbcdddcbddadccabbbddcbdddccababbaaaddba
+badbdbaaadbbbcddbbcabcaacaadabdaccbaaaccdaaadabbdacccccacbbcbddbbdabadbaacdddccadaaac
+abbccadbdbadabcdabddbacdccddcadcabaadabddadddcbabadbabdcdbcaccccaddcdbaadabccbcbcdbdbcdaacaabccba
+cadabacaabdcdccadcdabcacabbccdcdccbbbaabadccbacbdbcbadbaddbaabcbdccdacddbcdbbcdbbddcacbcdccbcadbadabdd
+bcbbcaacbdbcbbbdbbddcaaddbdcadccdbcccbccdbdccdbbbdacddbcbada
+dbddbbbabacddbdbdadc
+dcadcacbadddbbbccccdbccddccabcbbbcdcaabcbcdcadddbdbbdaadcadcdbbaacdbbcddbaccbdbccaaadcbabaad
+bdadcbdcbdbdacacccbdcbcdbaaddabcbcdcdbadccbccacbaaaaddacddaadcabbbddcddbccbbadbcabadddaccabddcddaab
+dbbdcbdbcbbaacbdcdbaaa
+ddcadccbcaaabcbbaba
+dabaaacaaccdbacdddadcdcbddddcdaacdacaadaddddbccaaabaddbaabcddccdbdcbbdadbdbc
+dcccadacbbdaaccaaccbcdcdbaadcaabdccdcdbccacaabbadaab
+adcccbbaacabaadcabbdcbabdcacdcbabcaccdacc
+adbcddbccbdbcdbccdcbcccdaaccaaaadaadcaaabaadccacabccdaaddbccbbaabcaadcabccaadbaaddbacacbc
+cccbcabbcbddadcdbdadbcbacdddbdacaccbcdbcbcaaacadcbcbaacabdcdcccdcccabbbcabccddacbcbcaccdbbcdcadcddcdbaabaa
+bbabdccadbaabbacaddababcbcdadadccad
+baaaddddcdbbccbdcda
+bbddcdbdcddacb
+baadccdbdaaadcbaadddcaacbabddaacaaadccabbdaacbbdacdccbdcabb
+dadccdacdbcbbbcadcaabdcdbbadaaddadaccaaabddaaadcdcdcaaabdddbdbaacbabdaacbcabacd
+bbddcdccbadbbacdbbcacadcabdcdccacccbbdbddddcabaabbdaaaaddacbbcbdcccdadcdccbcddccaaabdabcc
+daccdaadadaaaadaabbaadddabbcbaccaaabcacbcddccdcdccbaacacabcdadb
+cbcbbdbbbbacddaaccab
+cdddbbacacacdcacdcbabdaddadbabddbcbaabdcacdacdaadbcaaabcaadcab
+cdcdcaccbbddccdbccaaaadbcbcaccbaddcdbabddddbabcaacdcddadd
+bbabadcdcabbbaabccdabbcddcbcaddcbdcbdddbdbbdcdababdddbbdbadadabaacbcacdaacbcaababaccdbdbbbcdddcccacccbdaacaa
+dbdbdcabbdcdbacabbdbaadabbcababbbdcacccccaaabacdbbbccacacdddcb
+abbbabcddcbcaadcddc
+cabaddbcaadacadbaadbcdcacca
+bbbdabccdacbbdcdcbbacdbccbdabaaaabdcbdddcabdcd
+aaabcbcaccbcadadaccbdbaccacabcacdcbbdaccdabca
+cacddcabcaccbacddbbbdaddbbbbcbcadcbdbcabdcddcabcbabcddcdabbbbdaabcdaacdddbdbddbb
+cccbcacaccaabaddabdbdbccbacaaa
+bdbbbbdbcbdccbcaddbbbbbcadabbdacabcbdaddabdcdcdddbcdbc
+cccbcbcccdaaddabbcdbdcccccbbbbbccacadbadccaccadccabcdbdababadcaacaabbabb
+dcacdcbbbcacbdcdcdddbddcbccddcdadcdcddddbabdaddacdbaddbcdcbcdbaccdcccbcacdcaaadddaadbdccdbcdabdbaadcbabdacc
+acbacaadabdcccabadbddddccacbbdadbdbbaababadabbbadcbdcdcdcccbbd
+cddccccdadccdcacddcabdbcbbcadcdccddabacbadbccccddabccbcbabbcbaccaadadcbcdddcaadabacbacdacaacbcdbaaaabbd
+dbcddddcbdaabcbcbababddcbddcbbdccaccabcbaaccdaaabadbcccbcabbbacabbccbbcbaadbbddaadabccccaddbbbcdaaddcadacd
+cabbbaaadabbadccbabbcaddcb
+acdbcadacacacaaddacbacaddcdbbcbbcbcdaadbabdcadaacacc
+cbccabaacababbdccdaaaadbbababdccbabdacbbbaacdbbaaaabbcbccbabccbaadbbcddddadcaddcb
+abaaadadbbadcccbbccbbccccbdcbadcdcaadbacabcbccbabbbabbddbaccacacbabababadcbdadabaad
+aadcbcbcacdddacabdaaadbbddcdbbbbccdbacdbdcbbccbbdcaddcccbcdcbcbdddabbbaababccadccbbdcdbcdcaababaadaaadcbcacb
+dcdadbcbdaabcabcabaadcddcdbdbdcacaccbabbacdbcbadcbcccdbccdbbbdcbdccadcdcdcdcabcdabccba
+aaaaddbbbdcdcaccddccddbaadbc
+ddccccaabdacaabbbdbccddacdbbddbcbbcbabdacbadadbddcbabacdcabdbbcaccbcbaccdccaadacdcacabddccb
+dccdababbcbdaaaacbdaddcacabbcdacbbbaddcadadaccdaac
+cbbaaacdcadddbdaadcddd
+baaacadccaabbdbabdaadadcdcdbccdcbbdccbbadbaccacacbaadcbabcaabbbccccccccccbbabcbaadaadaabbc
+bcbbabcacbdbacbbdabacccbbddabcbdccadcccbddaaacbccccadbdacacbbdbcacbabbcabbbccacabcc
+acccadbcbaddaddcdbcccaadbdaccdcbaaddcababcaacadaacaaadcbcdadccdabdacdd
+abbabbbbccdacbdbcbcaccabbacbcabcbbaaddabdbbbccdcaabadacc
+dadabcdbacbddbabcaacdbdbdbcdbadbacbadaadbdccbadbaccaabb
+dddbdcbdcacacdaabbbdadcdadacb
+bacccdacddddcadbdcacdbdaabda
+ccdcadadbcaccbbbadba
+dadadbddcbbdadccbcaaabdb
+ddbddbbcaacbbbdacccaaddcbdbadaccacd
+aacadddbabddbdddcdcbccccdcacabdabbdbacaadccbdcdcdaaabbdcacdbcbddacccabbdabaaacdabacdaaaaddddccb
+cbabbdadabadddccbddccabbdadbabdddaabdabaccabadcbcaadaddddbcaadbdabbdbbaababdbaccbcbcbb
+bdbcadadacaadbcbbdacccab
+cdbcbadbabcbddaaccdacaababaaabdbbcdbbcacabaacddbdaddadcdbcbaccdaabddbaacaadcb
+babcbcabccbaabbcbdacdacd
+dbcbbdaaaabbdbcbccdcaabcdadcbbbcabbabbdbcaaabdbdcdadcabacabdbddadc
+cbbbccbabdbdcbaccdacbbaabcdcdcdbcaddaddcabdcaddbbcdcddaacacdaadddbaaadaacbdbaac
+bbbdcbbccccdbdbbdcccbbbbddcabbddcccdbabbbadcdcaacadabbddbaccccdbdabbabbbddbbacdacbbdcdbba
+babcbbdbbdddbcbdddbbbbdcbdacaaddbabbabcbabbdcbbd
+dadccaccbcddcacbcdcdbbdbdbddbcdcbbaccbaaadbdaadcccdddbdccdbdcdabbbddabcccaacaadadcdcbacacaabadddbacacdc
+cbbaaaabacccbbbadadbdbaadcabaaabacabbdabbadbd
+dcdccabbcbbdcbabdaddbdcbabdbbcababacabbccabaababcacadcabaaacabbdbddbdbccbcbadbdd
+caacbdbcbaddbdbcbbdcccbadcadcdddaddbcaddadddaaaaddddbbdcdaacccbacbc
+ababbbbbbddbaaddccdaaaacacdccbabcbbbcadbbcbbaccbcdaccbabcbcbbbccbadddbcddcbcabdbcdcbca
+cdbacaccdddadbdcdbcaadcdcaaaddaddbbcaaaabaacbccadbcbddaababcddddcaaabbdbbdabcbdaddddaacab
+bbddcdcabbcadaaacabdcadccabdcccadbcadabbaaab
+abcdabdcbbaabcadcdddacadddbcadbaaaa
+cbaababdcbbdaccbcccdaacdcbcbcdcddbcbcabccbcdaabdabaaaabaabaaababcdd
+adcddbbbaadddabdadddcadcddbbcabbcccbddbadcbbaaaacddacabacbbccbbbcbdbabaaaaccdddbdabaaddaabdabdbdacacddb
+adaacdddccacbabcbcaacaadaadac
+bbabcababaddbabbbcbbddcbababbaaaadcabababdddcadaabbbacadbcabbaabdacaccccaaacaadcdacbacdbabaabcabcccdaccbcd
+ccbdcbbddbabbdaaacba
+bccadaadabcdbbcbbcbcacabaaaabdbabcbccadacbabcaccdadaacbbaacbbbdccabbbcaadbbdaadccacddcaccdbcbbcbadbbcacddcc
+accbddcdaddcadaabbbdbdbdcdcbdababbbdbdaabcdbbbaababdabdaccddcbaabcd
+dbbdcbacbcdadcccabbaacada
+cdacaaaaaadadcababbdadbacdbbaaadbadbbccabcadcacaddbdccaaadbddaacdddadbdbdadddbdbddcaabdbadc
+dbcbdcbdddbbdcacdcaadacadbbbbadbcccccbbbdcadbdacbbbbbaa
+cbcaabcbdadbbdbbbabccdcadacdddddbdabbdbaa
+adbccacaabbdbbcdacbbbccaddcdcaabcddabaacadcaddcacaababcbcbddaac
+dccacaacab
+cacbcbacbcccaddadaaaabdac
+184 86
+bbaabbcacabaccabcccabbaabbbcbbcbcbbbcabaaacacbabaaaccca
+cbacbbaacabacccacccacaacbcbbabbcacbcbbcbccbbcababacaaccaaababccaccbbccabaaccabbabbaababaaaaabccbaccbbabababc
+accbacabaababbcccacaaaacaaabccbaba
+abbacbbbabacabbbbacbcbaabaccbcbabaacabcabbbbccbbbaaaaaccbbabaccacabaabacbbacbbbbbbaccabaa
+cbababcbcabaacbcbabbbabbcccabbbabcabbbcbbcacbbbacbabcbbacababcaaabcccbcacaaa
+bcbacabcabababccbbbbcaabbcabaabaccbbbaaacbcaaccabbacaabaabcabccaccbabccaacbcaaacbcccbbbacbcbbaaca
+bbababccccbacabcbacacabbc
+accabaabbacbcccbbbbbbcccccbababccabacccccccccabacccbccabcaaabaaaabbaac
+bccabbaccbbbbcccbbbccaaacbacbccacaabcbbcbcbaaacaacbaaaaabcaccbacabaabccbbbbcbbbabaaaacaabaabaaccabccaaacbac
+cacabccabbcbbcbbbbcc
+bcbcbbbbcaaabaacabaacabbacacbbabaaabcbaabccccbacbbbbbcbcaacbacbcccabccabcccaca
+bbccaacbcbcacbcaacbab
+ccacbcbabaaacbbacabcbcaabccccaaacbabaabccabaacacaacaccabbc
+bbbbbcbcbcbbcbbcbabababbbbbbccbbbaacbcccbaa
+caabaacabaccbcabbcccbabababbabbccaabccaacabcccbcabcccbcbaacabcbcbbbcbcaaabbbaca
+babccacbacaabaabccabbbaaacbbcbbcabacbaaabcacabbcbacbbbbcbbbc
+bccccaaaacbacbbcbbacbbbacaaaababbbcbbcbbbccbbcbaaaccbabcccacbccbcccbaaabbabcbcbbcaaabbaac
+bcccbaacbabbccbcbcacaacbbaabacabbcabbbcaccbccabccccacbabaaacabacaaabacbcaabbccaacaacbabacbbcabcaaabacbcaaabbb
+ccbcbcaabcaaccbbaaaccacababcbbacccaaabcabcbbacabccababbcbabacacaccbbacacccbaabacbcaaabcbbbaabaaaabaaabba
+aaccabbbaaaaccccccaaaacaa
+cbaccabcccccccbcababcabbaaacaccababbaacbcbcccbaabbccaacabacaabcaccaababbbacaacbcababcaabcbcac
+bbaccabbcccabbcccaccaabcccccbaaaccaabcbacbcacbbbbcacbccbabbacaacacccabaacaaaacbbaabcabaccbacc
+bccbacaaabbaacbabbcccabcbcccbaaabaabbbbbabbcacbcbbcbbacaabcaccabcaacbacbbcaccbbacbcbbbbcaccabcbbbcac
+bbbaabaccbaccabcac
+bbbaababbabcccabbaabacaaaacc
+abcacccababacbbcacbacbcbbbcabacccbbcbacbbcbbbbcbcacbbbbcacaacbbaaaacaaacbcccbacaaabacbcbcbcbcb
+cacabcbbbccaccca
+aaaacabacacaacccccbabbbccabaa
+bcbaababcaacaccbabcacbaaccbccabaacbabbbaaaabaccccbccaaabbcaaccabbaaaabccccbcbcbabcbca
+bbaacaacbccbbbacaccbaccccaa
+cbccaabacbbaaaccacabcbaaaacbccababaacaabababaccaaccbcbbbbbaacbcaaaacabbaccacbbaaacacab
+abaccbcbabb
+babacccbbbbbaacbbacbaacbbcaacacabbabbbbbcbcbbcabbbcabcabcacb
+abcbbbbabacbacbcaaccbbaaaacabcccbabaacacbabcbacab
+cabacaabcbccbabcaabcbccbbbacaaaaaabbbbcbbcaaacaacbbababbbbbbacbbcacacbcaacaacccaacbcbbaccbbccbbacb
+bbcacaabcbaccaaccabcccccbbccabacaacbacaaaabcaacaabbbbcbcbabbbaccaccccccbcbbacb
+abaacacaabacbbcbaababbbbccccbbaabbcbbabbcaabaaaabbacaaacbcaccbacacacccbba
+cacabababccbcacabcababbcaacbcbacabbabacbcaaaacca
+aaacbbcbaca
+bbbcbcbbbabcccbcaccbccbcabbacabccccabbbccbccabbcaacabbbabcabbacacbaabccaccbbbaccbabcacbb
+acbaccbcacbabbbbacbccabcccbbacbcacabbcbccbccbcbaacacaabbbbacabacbacbbbacbcbcbaccbbcbccacab
+aababababaaabaaccaacacbabaaaacbaacacab
+bcbbabbbbcaccccabccaacbaabbaaaacbacbbbabbbabcacbcbbbaaaaccbccacbbbbababbaccbcaabbbcaccbabaacbcaacbcabacb
+ccccbaccacbcccababcacaaaacbcbabacbcaccaab
+aabaaaabaabbaccaccbbbbcbaccccbaabbcabaababacbaccacacaabbcccaababbacbbcaccb
+bcabbbcbabcababbbcccbaaabcbcabcccbaaababaccbbbcbcbcaacaacaacbabcbcabaacabaccaabbb
+bcaaacbbacaabaccccabaaaaacaacbbbaabcabaaabcacbbccccababaccabcccbbccbbbcabbbaaccacabaccbbccbb
+caacbcabbaaabaabbbcacaaccacacabacbaccabaaccccbaaabbacaabaacaabac
+cbaaaaaacbcbbcbabcacbabacbcabcbcc
+bbacabbcbbbabcccaaabcacaaccababaacbbbcbaaccacacaaabaacacbaac
+cbbbaccbac
+acbbabaaacccbabacaabacccacbaaacbbbbbcabab
+bbcacacabaaccbbcbabcbaacaabcbaabccccacbabbacbacbaccbcbcacbbcbbaabaaaaccaabacbaccaaabbcbaabbb
+ababbaaaaccbbbbcbabccbbccbabaacacacaccbbacbbccbbbacacbccabbbaaccabcccaabaabacbbaacbcbcbababbacaa
+aabacbcabbcbcacbbbcbcbaccaacacaacabaaabbacaaabababaacbccacaaaabacbcbbcabbcacbccabcbcabbbaa
+accacbabcabbbacbcbbabcabacbacbaccaccababbcbabbabcccbaacccabaccacbbacbbcccac
+bcbbcabbaababbcabcbabbbaaccbabcccbcaaacabaccbabbbcacbaacbbabacbcb
+caaacbcacbbbbbbacbbccbacaaccbacaacabcbabcccaabacbccaaaabbbbaacbbaacaccacbccbaabcbcacacca
+baaccabccacc
+acbbbaababaaaaaabcbacbbcaabcaabbbcccaabbcbcbbcbcbccaaababcaaa
+acaacbbcabbcabbabbcbcbbcbacbbccaabcc
+cbbcbbbabcaccbabcaaacbbcbcacaabccabaababacccabccbabaacaabaaababcbb
+cbabbabcbabccbabababcbbbcccabcbacbcaacccbcccbccbaccaccbacbcccccaaaccababcbab
+bccbcacccbccbcabbbbcabcbbcabbacabababcacabcaaccbababaababccabcbacaacaaaacccbacbaaabcbaabcccbccbcbcbb
+cacccacbbbacabbacbaaaacbabaaccbacacabacaaabccabbbcabbccaccbcbccbbabacccbacabacbbcaba
+cbcaaacaaccaaaabacbbcbbcabbcbcbccabbccbcbcacbbacbbbaaccbbbcacac
+caaacaacccbaacbabbbaabbcacbabaaacaabcccaaabbcc
+abcccaccabaaababaacbccbcabccbbcaabaccbaabbbababcbccabcbacccbbbcbaaabb
+bcbbcaaaabbaacbccbcabaabbcaabccbbcbaabacbbbcbbccccbbccabaabcaaaca
+cbbabbcbaccbbbbcacababcbbacaabbaacccccabacbbaabaccbbbbaa
+aabccbcbbcbaabbbacacaacbaabaacbbaaccbcccbbccaacaabbabacacbababcaaabcbbabbaacccaccabaacaabbbabaaacabaaccbca
+ccaccaccacabccbcacbbbbabbbbaabbcbacacbaccacbacbacccabcbbababaccaaaabcbbcacabccbaaaaacaabbbacacc
+aacacbcbbcbacbbbacaacccbcacba
+aaacaacccbbacabbccccaaaaacbcacaabaaccacbacbbabbabbcccabbccaccaccaba
+bacaaacbcaaccccbbabbabababccccccaccbbabaaabbccabbabcbaaabacca
+babbbacbacbccbbcbbbabbccacacbccccaabcccabbabbcccbbb
+babccbabcacbcbbabbcabccbcbccaccaccccabaacbaaaacacababaaaacbcaacabcacabbcbabcabcabcccacacbabbacac
+accccabbabaaaccbcabbcbbbbbbacacabbaababaabcaababcacabaccabbbccaabbcaababc
+cabacbacaaabaacbbaaaaaabbbbbacbccabbbbbbbbbbbbccababccbbacaaaacacccbb
+aacabccbbbc
+bbbaaacacacbcacccabcbbcbcacbbababccbbccabbbbccbaacacccaccabaaacacaabbcbcbcbccbbbbccbaacacccaaababbbcbaabbccba
+aabcaaacbbbbaba
+ccaaccacbaababcaccbaacbabaacbbccbcaabcaacbcaaacbcacaaabababcacccbbbccbabaabcbcbabcacbbcaccbbbbbbcabababb
+ccbcbbcbabbacccabbaccabaacaabbaacbbbacabbbcacacaabcbcbacccbcaccccabcacbbbbccbaaabacaaababcacbabbbcaabcccaccbc
+aaababbccbbbccbbbaaabbcccabcaca
+cbabcbcbaabbcbbabacacbbabbcbbcccbcabbbbbabaaccccbaaccabca
+bccbcbaccbbccccbbaabcbb
+aaaccbabbbbcbaabbabcaccccacbcaacaabcbcbcbbca
+abcccbcccbcbacabbaabcacabccbbcaababab
+abbbcaaacaaccaaaababacabaababbaccccbbacbc
+acaccaabbbbcbcbcbabbacabbaaccacbbaccccaabcbc
+bbcbaccbabacbabbbabbbbabbabbbaccbbbcccababcbccaaacaabaccabcb
+acaabaaabacbbcbbcacbacccabcaccabacabbbabacbccbba
+ccbaaabaaabccbcbcbaabbcbcbcacbabbbbacaacabbbcaccaccaabcacabaacaaaaa
+baaccbcbccbbaaaaaaccbabbcaacbcbaaccccabbbaaacbbbbbbabcbcaacbccacbacbccbbacbc
+bcacbcabcccabababaacbacbbccbbbbccacbbabcbbbaaacbacc
+bbbacabaacca
+bbcacbcccbcaaaaaabbccbbbccaacbccacaaaccbaaabcaaaaacaabbaaccbabacbbaabcccabbbabbbabbaacbaa
+cccbabaacbabbbbbcaaabbacccaabcccabbbcaaccbbbbabaabaaccabccaaccbbabcbaaccaacacbaba
+aaabcbbbbabcabbabaaaabccabcaccbccabaacabbbcbcbbcaabacbbccbccccabcccabbccaccabacabbc
+ccaccccbbabcacbabbbccbccbcaabacbaabaaca
+bababbbaacbbccabaccbcacbabbcbbbaaaaccbacacccbbcccbccabacbbbcacbccccabcb
+bccaaaccccbaaaccbbacaccacbccacbcbcbcaacabcabcbbcaabacaaabbabcbacccaaabbcbbccabcbbaccbacbaabbba
+ccbbabbabcacaaabcbcccccaababbcbaccbaccbbacccbaacaabcaccabccbbcbbcbbaacaaaccabaaccbbabcbaaccbcacaaaccbacb
+accccccbccabcbcbacbaaacbbccacbbbbccccbcbccc
+cbaaacacbabbbcbabcaaaacacaabaccbcbccabccacbccaaccbacacbabcbcbcbcacaaccbbaacabbbcaabaacbaaccaabbbb
+cbbacbbbaccbcbbcccc
+accbabcccbcacbcbbbcbcccccaacccabcbababbbacbccbbcbaabcbcabcbbbbbcbabbbcaccbbcbbaacabbbacbaabbcccbb
+bccacacbbbbaacbaaabcabcccccacabcbcababbababcbbbacbbccaccabaccbcacabacccbbaabaccaacbacbbbba
+acababbbacbcbbabbccbcabacaaba
+aabbbcccaacbbbcbbbbcaacabcacaacccbabcbbcacbaaabcabbcbacbabaabbcaabacbccbcababbababcabbbbcbaacaaccccccb
+bbaacacccbbabbbcaaabbbbccaaaaaccabcaacbcbbabbbcaabcbcaacccacacbccabcbcaaaaabbbcabccacccbcabb
+aaacbabaaaaacbccbbbbbbaacaaaabaacccbccbacacbaabccbababbbccaaaab
+bcccabababbbbaaabcccccaaccabbaacbbbabcbcacccacbccabbbaacabbbcbbcbbcbbbaccacacccaacacbbbbbabcaacaabb
+caaacabbababc
+baabbcaccaaccbaacaacbaccbacbbccabcbacbbbaaaabcccbbbbcacabcbbbabaaabccbaaccabcbbcbcacacaaabccccaccc
+abcccccbaaccaaaaabcbaccbccabcaabccaaacbabbbbbacbaababcabaabaaaacccbaccaacaaaabcbbcbabbacbcabbacbcbbaa
+baabacacabbbacbbcacaacbcacccacbaabcccacbabaaabccac
+bbaabacbbbccababacbccbabbbabaacacbbbbaaabacbbcaaccccabcacbccabaaacccabbbbbacbccccaa
+cbaaacbbccacacacbbacacabcaccababcacbabbabcbccbccbaccb
+bacccbcbbbccbbbaaabcbaaabcbaacabbbcbbcabcbaaaabacacabbacaccccababbaccbbcbccaaaabcbcccbbccaccb
+bbcbccabbbcaaabcaacbacacbbabaacbcbaccaaabbcacabcccaacbcbcabbbcabaac
+aacbccbaacbccbccccacaccba
+cacbcbacbbacaccbbacbcacacabcbcbcacccbacaabbbcbbabaacacacaabababcbcacaccbcbaabaaccb
+acbbaabbacbc
+ccbcaacacacbacbabaabbbbbaaabacbaaacbaccaabccacabcabaabaabaabbbcbacababbbbbbbccabcbcababacbcbbccbcabaacacbbaca
+baccaaacbcabbabcaacaabbbabccbbcbbcbaacbcabbbabbcacbcacbbababacbabacabcbbbbaca
+bbabbcbcaacbccaccaccaabcccacaabaacccababaccbbaabababcaaacbccccabaacabbbcacacbb
+abcbaabccaabacbacccaaaacbccb
+abcacbbbba
+caabaaaaaacbbabbbccbccccaacbbbcaacbcbcaabcbbcccbcabccaabcbcbcbabbccaaccbccacacabcba
+acbccbaaccbbabbcacccbbbbbbbacaaccabcaaccaacbcbbaccbbbc
+babcabbbcababaacaccbbcaaaabbcbbbaabacbbcaacbacacccbcbcbabaaaaaabcabcaaacbbaacbcb
+bcbbbaabccacabcaabcaacbbccabbcaaaaacbaaaaacbbcb
+aaaabcaccabcbbacbbbcbcaaabbbabaabcbbbaabaabcacbcbbccbcacaaababacabbbbaccbbaacbccaaab
+bbabacbaaaaaaabacabcbababcbaacabacabcaccab
+cbbbbaaccaccbbaabaabccbbbabaabcbbacba
+aabbababccccccabaabccaaacbcaccbbaacacbabcacaaaaacaacccbcabbccaaabbabbbacaccccabbabccbaacbaaaabacaccbabcaabaca
+bcababbacacbabcccaabbcababaaabcaccabcabbccacbc
+bbbbbbacbbcbbacacccbaaacacbcbbcccabbcacbaacbbabcabacabbababbbcabacaaacbabaababaaacbbcaccacaccacbabbbaababb
+abbbcbbbcaccbccabbccabcbaabacabaacababbbcbcbaaacbc
+ccaabaaababcabcababbaababcaabbcccabbaacbaacbccbacacbbccacbcccacccbac
+caaaababbacbbacccabcacbccaaabaacaaaabbaaaaaccbcaabacabcbaaccbbcbcccaababacbabcbbbabbabcbbaabc
+babcaccabbbcaacbbbbccbacbbc
+cbbcbacabacaabbababaaabcabbcaccaccabbbcaca
+cccacacabbbbcbccacacccabcbbbcbbcbbacabcbaaabcbbabcbcbccbc
+caacacaabbbcab
+acccaccaccbaaaccbacbacbbccbbcabababaabbbbcabcbaaacacaacbbcbc
+bbbbacacaacaaacbcabacabbbbcaacbccbc
+cabccabbcbccbbbcabcbbcaacabbcbabaaaccabaababcbcccbacaababbbbcbababcbbcbababcbbcababa
+acbcbcbacbbacbabbbccbbaaaaacbcbcabaccaaaabbcacbcbbaaccbbccbbacabbccabbcaabbbcbccccbabbcabacccc
+bcbbabbcbbaabaaabccb
+ccaacbcabcbcbcaaacbccccbccbabcabbbacbaababaabcabacacaacaaaaabcaacbccaabccbbacaacccbbaacbbbcbb
+babbccccabcacaac
+abccbbbaacacaaacbaacaaaaacbbacaabbbcaaccccbcabcbacaba
+bbcaccbabacbbba
+cabcbbabacaacbcabbabcaaacbababccacaabaccacabccababcaccaaccbbcaacbacccaccacccabbbabb
+acacbacabcccbbbcabcaabccacacbcccbacbbaaccbacacbabacabbabbc
+bbaacbbccaacacccabaccbbabbcaaababccbcbabcbcbbcabcbcbbbbaacbbbacbabbbcaabbbacbccbccacacbaacbbbbcaaab
+aacccaacbcbbaacaabcaabbbbbbabaabaaaacabcacccabbbaaa
+cabacbccacaccaababbbaacbcaaccaacaccababcbbbbcbaaacabba
+bccbaacabaccbbcababbccbcacbabaaccacaaaaabbbacc
+aabbcbacaabaacbaaccaacbababcabacaaabccaccabcbbbbabbbcaaacabcbcccbbbcbabbcaaccbacbaaca
+abacaaacabbaabcbbcacabbcaacccbacccbccaabbcabaccacabcacabcccaaaabcccbaacbaaabbb
+baaabccaaaacbbbbcbabbcaacbbacbcaaacbaabbccaabbbabccbbbcbaaacccabbbabcacacacbcccccabaabbaaabbcbbbccacbbcc
+abbaaccabbaabbcbcbbcccaaacacacbccbbacbcaabbbacacbcbbcbbacaacbcccbacbbbcbbbcabcbacaccacccbccbacabbacca
+bacabbccccbbcbcbbabbaccabaabcccaabccacbcaaaacabcbabbbcb
+baaacccabcbaabccbbbaca
+caaabbcbacbcacabbacbbababbbccbacbacccacaaaaabcbcabacbacabacccaaccbabababccccbab
+cabbcbccabbcbbbbbbcaaacaabcbcaabccbcccaabbaaab
+bccbbbaaaabbabaaaccaaacbbaccaababbbbcabc
+acbbacbbbbbcbbbbaccbacbbcacccbccbbbbcbabbccacaccbcbbabacbacbbaaacabaabbbbacabacbbcbabca
+bcbacacbcccbcbcbbbbabccaccacaccabbcbbcaabccb
+aabcbccbcaaacaacabaaaccababbabcbccbacbccacaacacbabacccccaaabacbbbcbcacabccaaccaaacacccbacccacbaaaa
+abcbabbbaccbbccbcabaccacacbbbbbbabbcbbbaacaaccacabcabcccabbbcccaaccbbacacabcccc
+aabbaccbbaaabcabbbcbbcaabac
+cbaaaccabcababcbacccaabccabccbaaacbabacabaabbbabccbaccbacbbbaabbccaaabababbcccbacbababccbbbbbcbacac
+bbabcacccabacacaabcabacccbacaabbacbaacccaacbccabca
+bbcaaacccbaabbacbcababbcabaaaabacccaaabcaacbcacbcccaabcccccaabbccaaaccaccab
+cbaccbbaababbbaaaccbbabab
+bbbcaaaaabcacbacbabcbcccaaacabaca
+baabccbaccabaaabbbcbcacacbccacacbcbcbbacabbccbacaacabbabc
+bccbbbcccabcacccccbbbcccaccacbccacacbccbbcccbcba
+aacbbbbcbababbbabbbcabcaaacabbbabaacbac
+287 219
+bbadaabbbacdacaaacddccdcadcbacaacccacaaccacdabb
+aadbddababcbcdddbddcccb
+ccadbcccaaddcbdcbbaddccbdcddd
+accaaaddacaadbdacacbcbcbbacdabbbcabdcbabbccdacdbcababdaaaacabacdaaccacbacdacccabba
+ddbcaaaddcacadcdbadababaabbabbbabdbdabddcddaaa
+bcabcdbaacacbacacbdbdaccaccdaddbdabbaadcdaddbbdbdc
+abbcdcadadacddaadbabbbbacabaaaccddcbcbcbdaabcdaaaaaaaadbcccabdbaacabbaadacdadabbcabdcbbbb
+acddbbbaabdaaabc
+caadbbbbcaccbdadbacaddaaabbaacaccaabdadbccbcdccadbdbcdaabaabaddc
+ccacabcacbdcbaddcdbdcabbdbacddccbaabaaccdbbababbdaca
+abbcccbaccdacbabcbcadccadcdcbddbbbccdddcdbcbcdadbaaddccdcb
+adccabbcbdccdbbbdbadcaabaccaadcacdddbaddbcabccdbabaadabbddddadcaacaccccaac
+addbaaccaaaacadadccdddbdbadcbdbbbabdcbbcacccbbaabbbcdcddadcdbd
+ddaccbbadabaccccadcadb
+dcbbdcaadaadcabcdabcccbdcdadbacabcbdcbdcddbbacbddaa
+bbaaacabdaadbaaccadabaabbacbadaddddbcbaddaacacccccdbcbbdaaccacaabcdbcbbbbcbcaacddacadbdbdaacdccdac
+cdadcdacaacddaacabcabcdabcbbccabcbdcdbdcddbcabdbddaddc
+cdcdaaacdcbbbaccabcddacb
+abdaabcdcaabbaabdbaadccdbcabccaaaabbbcdccbcabbaddbdcbddaabbdccabadddaaccacadcbdbcdcadabaacbccbdadbaacba
+aabadcbbcdbac
+ccadcbdddacccdaabaccbdaadbbcbdbbbacaadadadcbacbbbacbdacbcbacadbddbbca
+abaadbbbaaabbabbdcaacbbcb
+bdaacadaddddddaaacdbdbddbbabcc
+bbccddbcaadddbbcbaadacdaacdddbabdbddacbbdabdbbddbacbbdcbcadaaa
+bdaadadacdabdacddcabaadccbcbabcbddbcdaccbdaabcabaadbbabcacacbbcbdbcdbbddcbbcdcadacabdbaccbdcbacbbcac
+aababdcbaddccdaaccdbdacdcacadabadcdccaacccdbdaadcbcabbddddaabcbbdadbddadacacacbdada
+accdcbdddbddcbcabbbdbdaaaddabdd
+bbcccdbcddbbcdbbdbabdbdb
+bbdcadcaabadbcdcacdddaadddbdcbbbbabbbdddbdcadabbaacadacbcdaccbcabaaddadddbddabaadacddcccccbba
+dbcdacadcdacbabccbdcbabd
+caaddbadcadcddccccaaccabadbdddabdbddbabacccbdbbdaacdbadbdbdacdcdbdbbdabdcbdabddbbdcdbbbabdadbaccddddadcabbb
+babccaabdcbadabdddbbadcdbbadddddabcbddadcbbdadadcaccccdccaaadabdbcdbaaaa
+ccbddcddacbcccdbbacdadcabcbadaadbaadddddacbdbbcaddcdcddbacacdccdbaccbbbacccbbbcacbbd
+dabaaacababddd
+abbbbdbbabaacaacaccccbbdcccccddaacccbaacaccda
+ddacddaccdddddbbbdacabdabccbccdbcddaabdbbcacaaabaaacdacacdcbdbbbdcdaaaaccdadddbcddbda
+cbdabcccbcdccadcaaaabdbabaacdcdddccdcdcdcbbabcccbba
+adcbcbbbdddccbccdac
+aaabcdcdbdbcaacddaacbadabbbbbdadbacbdddbccbdacddaccbbbadccdcbcabccaddaadddddcccbdbcabbbc
+dbacaddcbbcacadaaaacacbbcaaddbbdaacbabcbcdc
+cdbaaccbaacababcddccdaaaddbdadbdaadcabdddbccaddccabbbcb
+dcacabadbdadddbabbbbcdaccdaddabbbdbdcadcccaaacddabcdddadcbdacdabcdacaacbacdcabbcddcbcdccbdbcbcacdbbbbbadca
+aadccbdccd
+caabaabacadadbddcbccabcabcbbadccaacadbbdcddddacaaddbbbbcaadbacbcccbdddbdbcbabcb
+bdbddccadabbadcdbaadbddabbdbaddcbadbaabda
+ddacbddccdcbcbaadadccbbcbbddadbdbdddaaacdcacbbcdcadbbcacccbdbcdbbdbbcdaadcaaddddabacccdcbbbd
+cabadbbddcddddccbdcbbabaaddbdcdccaaabdbcddabbdbcbcaabbacbddbdabcaaccdbdbacb
+accccbcabdbccbbcaabdacacdabacbbbdccaadccaabdabdcdaaccacaadbbcddbcabadbacaaadad
+cbbbdcccaadaccbcbddbcccddbdbbaadcdacccdcaacbcbbdbaadacaabcabadbdabdba
+cacaacccdccdbcadadaaadd
+cddbbcadbaacabcbadbbbac
+caabbdcacdabddcdcddbabacdbadcdbabacbcbbdbbcacbaacbdaabcdcdbdbdacdcccdacdccbbcbbacabbcac
+aadddacadcbcbddabbcabcdbbddaacadcabacccaddabbdbcbbadadcadadacbddacbcbcdda
+cbcbbabcdbdbcbccdaccbcbdddbbcdcdabbdaaddaadaadcbbcaddbdcabbdbacabddcadcbcccdadcbabbadbadbbdddddccd
+daddbbdccbabacaddacccdaaabcaaccdadacaabbabbdcdbcbdcdddcdbacdaacc
+dbbbddcadcbcadcdabbaabacbacdbabadadcabccadadbcabcabaacdcbbcddacdddb
+babaaaaaababcbdddbbbadcbdadbcdabccadbabaadcdcbacccdbdcbabdccadaaacbdcddcdcbcbdcabdddcc
+adddaabdcbcacbddac
+cccdabbdcaccbaddbcbdddccddac
+cbccbbabcacbdbcadcbcbaabdbdbbdadabbbaadcaadccabbbacabdbcdbcacaadddadabbbbcbbddcbdcccadcadbaccbbbddcdccd
+dcaaadababdbcbbbdbdacbcbbadccaaaaadadcbcbdcca
+ddaacbaaacbcddccbdacbababaabbaabbadcabadcccacabddbbddbbabccab
+cbbaccaadcaaabdbcdbabbdcdbaacbdcdbccdcbdbabcbdcbcddccbaddabcbcdddacaadddbbdbcadbbcbaabccdabbda
+aadcabccdabcbadcbadddacacbdbcdcbdaaccaddbcbabac
+caabcadccddcdcab
+dbddbadbabccdcdcaabcbbdabcdaababbcdbddcbdacdcabddaaccccaccabdcdbac
+cbaccbabbacdcaccabcbdbac
+bcdaadccbcadadbbbaccdbbbbcbbbdcbbaadcdcdbddddaadaabbcccaabcbbaabaacbdcaaab
+dacabdddababbaaddababbbcbadba
+cadaaadbabaabcaccbaddbcaabdbcbabbbabbabccacacacababdcaadcccbbaaabdabdbddbcad
+dccbbbaabcaaacabcacdcabcaacabaaaabbccabbacbddaccacdccbabbccdacdcacdadbdbdbbb
+bbcdccdbccabaaacdccbbbdccbacaca
+babddcadaccddbcdbdbbddbaabdbdddbbdbddaaaaaacaabcccabbaadd
+cccaccdbbbbbdadabdcbbacbc
+caacdbbbbadcddabcdbaaddbbdbcacbcaadddcdbbbbabdadca
+babacadcaacdcbbd
+bdbdcccdddcdbbdbadbcdabcbdccdbccabcbdbdadcccdacbdcdddbaaac
+cbddaaabddddcacbabcbdacadbacdaaabaaaddcbcbdddbcacbcbcbababbdbcbcadcc
+bddcbdcdaacdddabadcaadccdcabdbadbcd
+cdabacdbcbaadcdacccccbdddcbcacddcaadcbbb
+cdacbdcacbccacccbbaddbcbcbadcbabbdbcdaddcaabdbcdbaccddacbddaddbbaadbbdbddcdabcbba
+abaccbbccbacabbbbcddbcbbdbcdcdddcccdbcadabbbdbddadbcbcddabcbbaaddcbdcdbdbbcbabcdbcbccbdbbbcbdacdbaad
+cacdbbaacbbcabacdabdbaaacbccaccadbaaccccaadaddcaadadbaabaacbcbddbbcabdcbcccdadcbadbaadcabacdddabbcabbdad
+cdbbcbcddadacaddbbccbdbcdabcbbbbdaacabccdbacdbcbbb
+bbddbabdabbaaccdbdaabccdaaaddbaccbcabaabbbbbbacdb
+cbcbbbccacbacdabddbacbcccaabcaddcdbbbacab
+cababaaccbdaacbddcccacabccbdccdacbd
+cdaccbcccbacaccdcbabdcbdcddaaccdcdbcbcdadaaaccadccbcdacdbdbaacbaaaccbaddcbcaabaaccbcaccbbadcccdcadbd
+aaaaccabacdbadbdccadcbbbdcdadacbdbacccabbadacdcbdcdcdaacaccbddcabdbbabaaaaadbaaaddbbddaacbcdddcacbbcacbc
+bdbcadcbbab
+abccabdddbbddbabcddcbbbbbbcccacddddacacdaabdcbacbb
+adcdbcacababbadccccccbcadacccbcccdcaabbbdc
+cbcccbcbbabdddbddbbdadcabdbbbdaddddaadbdadcbcccdbcdcddbcbdcdaaabacabbdacdcddcbddabcdcbbdabbaaaccbaddccb
+bacdbaaddbccaadddcadcd
+cdcadaabccdcdbadaacadabcadbcabcabdacdaaadcbcccddccadadcbdaaaadadadaaadddabbaccacaadcdabbabacac
+bdcccabbbbdddadca
+aadddcabaaabbdabbbdbcabccddbabdacacaa
+abdcabbcccbbbddccaadbcbcabcdbdaabcd
+bbcaabaabdbbacddbbbbabbdbdcbcbadcd
+ddbcaddbbdcaaabbcbcddabdbccbdbbaaabbccaadaadbddccacbdddbdddcdcdbdcbcdbbccdabaabbdaabdcaddbbcbcbbcbccda
+babcbcbdccbaaadccccddccdbdcbddcabcbbbaadbaadddacabdbabcddbbdbaccaacbcaabbcbd
+dbbbddaddaacbbbddbdcddcabadbcdadbbbbadaadcbbbbdddddbcaab
+dcaacccbbadabcdcbdcabcacbbbadabbdbbdcdbbadadbccbdcdcdbbdaddbdcbbbcd
+aaadbbbdcadacdbcadbcacbbdaaadccbadaa
+dcacdadaaaccabcddbdccaccbaddbcbacdadddddcabbdadbdcdcddbbbaaacaacbcadaabbdbbcababaabbacbcc
+babdcadacbbbdadacbbccdabdbbdcababdbdbadbcccdabbbbdcccbbdbbbddbdacadcadbdccabdddcbddcadcdadbbcaacccdcdcdabaacd
+bdcbdcadbbaabbbbabcdaddcccbbadbadddabddadcccddcca
+adaabcbdddacbbabddaddbddabbcbcdcdaddbacbdccbbadcbbdcbdcbbacccadcddcbcdcdbdaabdbcbbccdbacadddda
+ddbdbdacbdbcaddcdbbdacaaddcbdbccbcabaabdacabbbddababdbdaccadcbbdcdabadbbdccaccbb
+addccbcbdaadddbbddabcabdcbbbdadaddaabacdddcbcbdbaddbdbcaabdcbaaaacddbbcacaabdcaccbaabdabadbcaacdaa
+dddabbbcdcbcbcaacddbbddbcbaccdacdaccdccbccaabcbabddddbcdcbdbabdcdabadcdcbd
+abddccbabbaadbabbabaddbacaadabddcbcbadcccbcbbcabcbcabdbaaddbabaddbbdaddbbabccdabaabdcadadcaabadddddcd
+acddadabbaccaccbbddadbaddabbacdcadababccadcddabbcacbdaddcdadcdcadadbdac
+dccbbaccdcdadcddacd
+dcdaddadacdacaaaddcbaddcabcdcdddddbcacbbddadcdccadbadccbbcccadbdacaadaccaaacaa
+cccdcabcacbababcdabbcadadccadcbccccddcddacbdddcbbddbdabcbdbcbaacaaadadaaad
+dbbdaaadcdcbbbcdaddaccbbaadacddcccbaacbdcacadacccdccddcdaacddcccadcddbaddb
+cabacaacadcdaadacadcdacabdabdddccccacacdbbacacbaaabbaaabbabbccbbbcdaaa
+dadcdacddcacdbaccadbdcbbbdcdbbcbdbbbddcbbccdbaaacabccddbbcaddccdbbcadabacd
+aaabaaacadcdccdcd
+bccbcaadccdcacdcadacabcdbbbcabbbdcaabcbdabdbcdaddccdccbbdbdcddcadcaadbddcaaabcabddbbacb
+dbbbadcccaabcadaabbacabaacbbcdabbdadcbbddbbdacdaccadbaabadcacccbbddbbdcddbadaccbadaadadddbddcccdbadcbadcccc
+dcbdaccdbdcadadcbdaaaaadabbbdbadcddbcaabccabaaaabbadbaadaccaacaccdaaddaadaabac
+bcaabacbacddcddaacbacddbdbdcbddbddacbcacccbacb
+cadababbaaacacababdbcdddbdbdaaabbaaabadadddcddabbcadddc
+acddbcddccabdbaaabcbadcccaddcacdcddbd
+ddcddbcaaacdaaacadcaacdcbccbccd
+daacadccdbaabccbaaddadacccccbbbcbbaddbdddddbbbadcdcaadddcccacdbdcabdbdcbbcaaadadacdbda
+aacbbdddaaaaacdbcbcbdbbcbaabcadbddacbaaabbbdcbaaabcddbdbb
+aabdacbdcbcbddcbbcdbcdcabdbdcacccbdcbbddcbcdbcbadaaaddbadbbadaccbbad
+bbbcbcbadccbcbabccdbcccbdbdadaccc
+cbabaabbbbccdbabdaaddcacaabdcadacbbbacbaddbababbbdbcdacabadbdc
+bdbbdbbdbccbbcabdccbdbadbccabdacbdcaddbdbaacccaacaddaaabcdbacdccbc
+ccabddbbdbcd
+adadccbabadbbcaacadbcdcdbddcdaaddaccadabcdccbbdddadabbdcaaccaaacdbbcccaacbdcccda
+babddcadcacbcdcdbaabadbdcdcdddcbabcda
+bbbbddddccacdaddbabadcbaddabacabcdaddddccabdbacbadcbcaababbcbdbdccddc
+adbccddadcadbdacdacbaaddaaaddccbacabcbbd
+cacccccbacabbbadabaddcccbcacacaadacbbbaccbabd
+dbadcdddddcbadaaaab
+bdbbcdbacbdbdabcdbddbcab
+dadbcabcbaadaabccddacabababadadcaabbababcdcdbcdbdcbcbbcdcbbdcaccdadcbdabccacbcab
+cdcddbbacbbddadcccdccaacbcdcdbbbdbcdbdbbddcaccdadbdbaddacdcdbacaadabcccaaabdcccbaaddbabbdadcbdbaddccdccdacdc
+cabacbbdddacba
+ddcabaddcbcbbaacbccddaaabcbcbbabccbddcccbcaddacbdaacdbdaccadd
+dbbcaacbdccccdcaacdcdbabdaacddddacacbcabccaa
+bbacbabcdbcbbdbadbabbddcbddbbcdabababbccbacbacdcbcaaa
+bccdbdbdcacacbdbbdaaccccbabddbbdccdcdaaabddbcdccbbcabcbdabdaadcbabac
+accdbbdbcdcbcbdbbddbbaaaddddbadacddaadabcbddabdcba
+ccddbbcdbdccbbccacbbdaabbacbaccccabcccdcbccaacddaddbcbbbabaabdddcbbdcccabddcacdbccac
+ccacbdaacdcab
+cddbadadcaa
+acdbacbaddaccbadbcbdcdacbbdbdadddaadcbbdabcdaacdbdaccdbdbbbbdbbcbdbdbbaabddabccdacbbadacaabddbbcbddbb
+ddcbaddcccdaaadacbacdccaddbddacccbadadbaccca
+cdaaccbdddcbadcbbddadbdcbccdbadabbcadacaacccddbddbccbbbbbbabdddcddddadaac
+cdcddbaabadccadccbbdcbdabbdcbcd
+baacbaacacbaddbbdaacbddabdcbdb
+bccdbdbddbbcddddacabdcbcaabbcacccdbdbcbbacdcbcccbcdabccadddcbcdaabbadadbacccccdcbcd
+caacdddadcabcabbcddaabdaaaabcdbdccacddaaadacdcccdababbcdddbcaadcdcaaabbdbddbdccabbbaaadadcdcadbcdc
+cacdcbbabbaabdcdabbddcadbbdbbcccadcbddccddbaaddddbdadccdccccbaccaaabba
+dadadbbdddbccaabacdbadbcccdcacadcacbcbcddaadadadccccbbcbcaadcdddcdbbdbdac
+bbaaabaddbdbcacbdaaadbcaabbaabdabbdbcbaacaaadbcbdcdbbdbaaadaddbcccaaacababbdadbbdaccddcaddbadabc
+bdabdaaccabdbbcdccdbdcbbbcbbaaddcccbcdcddaccddbccdbbdccddbbbbdabbcdddddccacbcadcdcaabcacabcccaabaaccbdcbbd
+aaabbcabdacaddadccbabddacbdadbdbabddadaccdaadcddacaaddbcaacacbbd
+bdadcbcabcacccadccdcadcabbbadbcaacbdccacdcacccabbddcaaaabdcadbaaddcdabdcacdaccccbdcbbbbcdcccdaaad
+cbdbbcbbacbbcdbdadddddabbacdcbbdbcdaacdacdccdaacdcadbc
+bdbcdcbbbbdb
+adccdcdabbaaccaadbcbacccbaacccabcddbdadaddccbdaddaabcbaabccabddbcacbdbd
+badccabccabdccaadcdbdbdccaadddbdabddbdcbbddcabdbacbdbbbbbc
+cbbbcbaccdbddcbabd
+cbdbbdcdbbcbcdbccdbccacabdcacabccccacdaabcbaabadccabbacdaaabadddbccbccdbdcadc
+dabcaacdcbbaacaadcbabdccbcdcadbbcdcbcabdcdbadbadabbbccabadddccbaacddcddbbbbccacbbccaccdcbabaaccaaaaad
+ddcddddaabccdabcbcddadcbccbbbdbdcabbadbcdbbdcaabcdcadcddcdccabdbabadccbacdadbdddbbbdabcbabbdab
+dadcbddbbabbdbadbcbcdaccbcaaccb
+bbddcddbdddbdbbadddacaadbabccdbcddcacabdcdcdbcacacbaabddcbddadbdabddccdcbdbcdbcbdd
+bdababcacaadbabccccabdacabdabddabdbcddaacbabadbacbcc
+acbdbdbcbbbbcbaadacdbcdacaacdcdbacbcbdaacaaccbddadacddbbcadbbacdacdbcaabadcaabdbdaaacc
+baababdbbdadabdabbcbcdbbdbbcdbbddb
+dcabacbaadbbbddaaabdccddcddaccdbcacbabacdcbbbdcbabcdbd
+bcccdbabdccabbaaddcbdadacadaacbcdabcacadabdabdccbdaaabddcadcbaaaaddacacbbddbadcbdabdbacd
+dbbdcbccdacbabaccdabddacccbdcacaacadbdddabccadadacdbaccacdbdcccabadddabcbccdcacbcbcaaaacac
+dddddbdaabddcbbbcdccabcdcbccbabcdadaaaaccbdcbacbccbccdacaaccbacacddbdccbabcbddbcdacadabdcacbd
+accbbbaddacadadcaaaadadcdbdaabdadababcddcababddacdcbbdcadbaccaabdbcccbbbddcbcddaddcaaaadd
+cdcacccbcddbdcaccacbbcacdacbcbaaadbbbcdbab
+dcddcddbadadbdadacaddbaaddcaadaadcacbaaaabaaaddddabccbcbcdcdcad
+aacacacaabaabbdaaaabcccbaccdbdcad
+adccdbdadbbdcacbabdcadcdaaaabccabbbaaacdccccccbdcdcbcacccbddbaaddbaaabddbabbabdcabcadaadbbddddcbaaccadbdacbcd
+bdbbaaccdadacaccaddcbbcacaabadbccdbdaddcbababcbcacacaccbcdccadaacacdbcaadabccacdbdacdabb
+dcabcadccbdbdbbadcaaddcbccdbcbaddbdbaddbdacbcabccbdbdcbcbbbadacbbbccaadddaacadaadbabbbaddcd
+bdaccadbaadccbacbcdacaaaaacc
+acaacbdbcccbccaaabbdbcdadbddbddacbbcaacaacabcabadaababdbcbddaacac
+adbadadbbdbacccabdcdaccbacccabaadadacdcaabcabcdbdbddbbcacdbdbaccadcaacbdbadac
+cacaabadbcbddaabddbcbabbccccddcbdcaaadddcbbcccacdcbadbdccaddacbaabdcabdcbc
+bccbdcdcacbdaadbbcdddd
+bccaddaadbbcadacadcadcdccddcaccbbbbcccd
+dbdaadabbd
+dabaabddbbaccabacbcacccdcadab
+bcadccadabcbcabddcaddacdacbbcccdddcbcbacacabdcaccdbcdcabddaccadcdaadddaccabbaaa
+dbcacdbadbbaacccaddcaddccccbbbdcbcacc
+bdaaddbbbbaaaddadaaaddabcdabcaadaacacadccabbbdbcdabadbdcacbcdbbbadabbcbacb
+dcaddddbadabbbccddacdcacccdcbddadbdcccdbdddacaacdbbcdcaabcababdbabcabbdaabadbadacacaadcdddccdaacbabbab
+bdcacdaaddabbadcbbacbabcabcbadabacddccccaadbbdbadc
+adcbcadbcbdbbbcbacdbdbbddbdbdbacbcddaddbadabdddcbcbcaabcdcabaabaaaacadadabcbdadca
+daacabcdddadcbcbcabcbdbbabdbbdbadcbabdaacbcabdbdaaacadcdcaaabaabacdcabbbadcdbbcdccadbcccd
+bbadbbcaabddcdccddcabcbdadabaaabcabbbdbddcbbbaabc
+dcacccbdaaaadbaabcaaaddbcddcabaccbdbacdbaadadddbdbccdbbdddbadcbbbccbadbccbbabadaaabdbad
+dccbcddbbdabbbbabbacdcdaaaccccaaccdabdcbdbadbcddcbacbdbcab
+bcabcbccbaadbdbcdaaabadccdbdaaabdbcd
+cbaaabcabbcccdbdabacdab
+cdbadcbaaddcacadabbabccb
+baadbbddbbaaccbcacdcdbdcdacdd
+adaacdaaccccdccccacbacbaddbcabbddcccabdabadaddbbdaccbaddbcdbddbdbdc
+aacbaddcbdbbadc
+cacdaababbdabdbaaaaccdcdaabbbdadacdaddddddcbdaccabbbabddaacdcaccbddddddcdabcbcdc
+aabbddabdddbccddbaaabdddcdbcaddbccbcdcdacadddcaadcddbdb
+cbcdccccacbcdbcaabdcbcacddcaabbdaabacccadddddbdddbdacbdcacddacbcadccaabddccbcbddabaccdccbcbdacccaacd
+aaaddbcdcacdbcbcac
+bdaacbabcaacdacabdbcdbdbadbdbabbdabcbdbadbbdacccdaabbdddbddaabdcdccdbacdbbacadba
+bbbdcddbdcbacdddbaacbddaaaaccaacccdaaabadaccabccaddacbadcaaaaca
+bbbddcbaca
+cddadccdadbcaacaacadaadccdbdaccbbcbbcaadcbbbbbbcdbcbbbdbcddccacdbbcdbbdacbcdcdbbaccadaacaaadbadddbabbb
+cddaaabcbabdcbcaabbabddbcbbacbdcadadcbaabcbcab
+dbcabdbbbcbaa
+babcbdcdabcccacdcaadbddccbbddccbacbbbcbabcdcdccbacccbaabcabbccadacbbaadbaacbba
+bababbcbbcabddcdaaadaccbdabaaddbddcdbdccdaaadcabcaadcbbabacbdbadbaddacbaaacbcddccccbaddbcda
+cccbbbcadbdccbbaacbdaadbaadabbdcbbabddabcdaacccbabcddabaaaaabbcdccdadaacaadbadddbdccccbdddbbddaabac
+ddcbbcccbbbca
+ccbabaddbcbcbddccbacbacbbaddbdacdbddccbdcaaaabaadddbaabcdaaaadbabccbaababbdabcdcbcdcabdcccccbaaacdababcc
+daddbacdcabdcbdbdabdaacdacabbacbabcccabdccdcabadacddddacbdccddadcbbdbaadbbadddacdbabcaaadaad
+accccddbaddcaabdbbddbcabdbcabdcdadabadcacdaabbcadbbccbddadacbbcbbdadacdcacdcbdcabcdcccccdcbdbcdccdcdb
+bdcbbadbbbaacccbacdbbccddbaadcacaacbdabdbabdb
+cddabccddbdadcdbcdbbdcdddabbbbbcacdabbcdbccddbdbdbdcddb
+bdaaccaaadbacdbacaacdbdacaccadacdddcabbbaccaccccaabbccddabbbc
+aaadbcbbcabdcddbbcbbdcaaadaccddcbdcdabccdaabadaddcddbccbabcdcdadacddcabacbbddcb
+ddabbccdcacbdddccbacdcbbbabdbcbcdacbdbadbccdacdadcdaacabcbadacbbbcc
+bacabccddaccccbadbbacdbbbbdddacabcabbbcdbcccbbbbccaddbadacaaabcbcbbcc
+aaddcddcababaacccacdabbabaccdaadaacadabcbbacaabbdadddcaaacbcbcaacdddbaababcabacabddadcbcbbdccabbdcdabd
+acbaccadcbabdcdbdadbdcbacddcabddbaaadaddbbbdbbbaccdabdbbcbcacab
+ddcdcdbbcc
+cdbabbacdcdbdabbbadbbabccbddacbcbcacabaabdaaabdaaccbadbdcbdbccddddccddabbaccabcd
+bacccdcdcaaccdcaccc
+dbddbaadaaaaaacaddbadcbacccdabcacacbdccbabcdbdbcbdccbbaddccaddddaabaadcbbbdcabaccbaaddbbbbccaacbcdb
+dadcdbbdcbabadaddcbaabdbdddbdbcadbadccddcadcadddba
+adbbdaadaddcddbaaabdddcadca
+bbcccdbdcddcdbcbacbddcbcdcdadccacaaaadbddbd
+cbddadcaccdaaaadbcaaddbaacbadacbdbbcbdbaadcbccccaabbdbdaacddddbadcbbccdabaaaaaaacccdbddbddbddd
+dcbaabcdaaccbbbdbcaaaccacaabcbcbbcbbdcbcbdcba
+abbbbaaccbdcbddcbdaddaccadabdbddcabdadadbdccabbaddaabcdcbd
+ddccadcbbbccdabbdbdcdaabbccbbbcabbcccdcbcabbcbaabaddbcbaabcccaacddbbadbcacdb
+accabbabdcbabdadbddabcbcaddbdcdaacbcbaaddcaddadcacb
+bcdbcaabcaacdabbdbcdbbbcadccadbcdbbdbbddadabaadcad
+daabdabdaddadbddbbbabdbdbbacbccbcdbacdcbabddbccaaabcdbcddbcacabbbccdddacbcdbabbcacbccacdbabdabb
+cddbdaddabbadaccbdadbbcaacdacaaaccabcdbbbabcabbdbabbbbaddaabbddcbbdddcdabacbddbcdbcacddcdacdcbddabbababcda
+acbabbbabccbbacabdbcadcaaddcabccbdabaabbdcbaacbccdcbdaadacabbadbccdabdcbaaaadaaadaaadbbabcbddcb
+dddddbdbccdabbdbbcbcccadbbbcbbbbdcaabdddcbabadaaadccddaddbcdbcddadd
+cbaadccaddccacdadcaabcddddaaabdbcddabaabacbbbbabadbabdbdacabcaaabc
+baababdcadccabbddbbabaaddabcdccabadbb
+dcbabdbcccccddcacbaaabdbacbcddcdabbbaccdccdababbaccacca
+dacdbacbbabcdbadcbcbddddad
+dbdccdbdabb
+dbbdaddbaccdddddabacdacbcddbaadcdbcccbbcadcbbdbcdaadddaccccaaccdcacbbbcacabbcbcbcdcbdddbdadcb
+ccabddccabcaadbbadaccdccbdaacbcdcbadbadbacbacdcaaaabbdbaacdacbdccdcdadd
+bacdbbacbaabbadcdbccaabbbcddddbdcbcaddaaaabdcacccdacdddadccdcdbdbdccdddacdcddcbaacdaadcbdbadaaacccbccbd
+cddcacbdccaaddcbacaaabcdacbaabcdcbbbdcccdacdbdbaadcaacacdcaccddddbbdcbaaabadccccdcbdbccdbacaca
+bbaaaacacacaacaaabbdbdbcbddcadadcadcaaacbaacdbdddcbaaadaabdcdbdbabdccaacbdab
+acdbccdcaa
+dbbdcdddaaaaaaaaadbbbbddadbcbbccbbbdadbbcdadcddbcbdbbccccdaddaaacbabadacbbdcdadabccdbbc
+ccccbddddcddcdbaadbccaccddcdbcaabacbbacd
+dccbcacdbbbadbbbaccd
+cdddbbdabbcbbbdabaaabcccbdcabbbddaabbdabcdbbbdbacabaccbcdbc
+cdbddaaccdccdbbbabdaacabdaddbbcdccbddcdcbadcbaaaadb
+bdabbabcddcdaccddadddaacdbaacdbacdcdadcabadcdacbcadbdabddccbbbbcbcdcadbccccdbbabdbdacaddddcdcbdddbbccddcbd
+baabbbcddacaaddddbaaabddddbbbdddbcaabcbacbadabdbbdcacdadabadacadcdacbbbbdbbbabcacdcbabdcbadaac
+bddabcbdacdddda
+abdaddbccaddddbcaabcccdabbddcbbcdbadcbcdaabaacddabccbabcbcadaaddcadbbaabbcbcbddcadddcaabcddad
+bcbabaaaacbbdababbcabaabdaacbcbdccabdcdacccbaddcbdcacaddacadadaaddaadcdccccaacbbbbacabcaaddcacacadadabccb
+adbbbddabdbdabdcbbcaabddabbcccadacdbacdbadb
+abcdadbdbcbdbaaabdbcdaccccbbdddcadadadabcbdbbdcdbaaaddabacbbcaacbccbabbccbcaccadacacabcdaacb
+cacbdbaadcbcacbbcbbcdddacbbdcadc
+adadddddbaadbdbcabadcddacabdddbdbbaababbdabaacdccdcadddcbbdbdadbcdacbcdbd
+cdddaaacbaacddcccaddadbddaadcdbacddbabbdbdcbcaabccdbbaadbdaccdbbdabcbadddababddbddcacaccb
+aaadacbdddbcacbdcbaccbaadddabadcacdaaaabadbba
+abbdcbbabdbbbdbdaacdacdddbaacacaadcacbaabacccdacdcabbaddacbbadddadcddbdaccbbcdcbbcbabdadccadbabca
+cbbacacaacaaddddaacbddbdccdbdbccdaccdbacbabdbdcbaacacddccbcdadcddacbbbddbcdcbabccacb
+dbbcdcadcdaabcaddccdabcddbbadccacbacdaaddcdcaaccdacbdaddcacdbbbbbbabadbacdcdccbdc
+bdbcdbabadccbacabdcadabbddadbdabccddddccccddac
+aabdcaaacacbadcbddabdc
+107 84
+caabcbdcdbadcbcbbb
+addbcaaabdbccdaacbacdbccbcccacacabcbdabacccdabdbbbcdbddadcabdcddddddddcbaacacccbdbbabcdcbabbcbdbbd
+cbbcdccddcbdbaaac
+dabddbccbdbddcadbcbcadbbbcdbbdabbbcddabadcbbdaaccbd
+aabbcbddbbdaabbcddacaccadadabdabacbbbddbbbbddaaccbdbdcaacdcaccbdadba
+acdcddddcdaddbbaaacbaaaabbaaacabacdcdaaddcaccaccacdadacabddabbcabbcbacbdccbadcdacdccacadcdabcaccccaacbaa
+aaadddcacacb
+adabaacdacadbdcabbcdaddbbaddbccdacdd
+addcbddaccbdcbcabcaadccbdddaccdccbbbdabdbcdabcbadcbaabcddadddccdcda
+cccdbdaaacdccacbdbaacaaabddabadddbaddaddbbbabbbabdcbcdbdbbbcbabccadbabacaaacbcddaadccbabbbdbcaadb
+dbccacbabbbabaaaccabbad
+cabdccbaadabcdcaac
+dccabdcdadaabccabbdbddcdaaaadbabaaddcbdbbdbdbdccacadabaacacdcbbccdcdacacdcddbcdabdddbabcbaac
+aacbaddbdbc
+bcdbbbdcdcccdacdacaabadcabdaadacbabdbacccbbbdbbababcdbdbdaa
+ccadcaaaaccdcabcacddbadbdcccccbdacadbccbdcdbbbaddababbbbabbdbbaccbdcbddacabcbdcbdbdaaddcbcbbbbd
+abbaaadbbaacddcdddadcbabbcbaccdcdccbbabdbc
+acaacbdcbcaabcdabdca
+ccdadaaccbcbabaccaaccccbacabcccbbaadccbdacdddbcbcbacda
+bbddabbcbcba
+ddaaacacbbcdcaaccdcbaddbcbdcaaaddadcbaaadcdcaccbcdaaacbdacccdabaddcdababadbcaaabc
+adbcdaddcaaaadcbaabaaaadcbbbabbddbcdcdcaadacccbababcadbdabbccacabbbbc
+dbcacaaddadbbddacaddbcddbdbacdbbaabddacabaadadcccdaa
+dbcadddbddbcddbacddcbcaccddbbbd
+abbdcddbcacabbcddbdaaddcacdccbcddacaadcadcab
+abbbaacbccaacdccbaaabcdcabacac
+ddabbabadddcdbdbddbabdcaccdabcdddbcdacdccdbbcbdaaaddc
+dadccbbaaccddbabdccdbdabcbcbbadbbbadddcadbdbcdacdbdcbbddbcddacdcaabbadadcacadccbabdccbdcccccbbbcbacb
+cacddcdbdbaddcbbacdbdbcdbdbadaabbdcbcacddcbcabbbacccbcaadab
+dbbaaacbbdcdcbbaadbcbcacdacdaacbdabadbccbadbdcbcccdadbbdbaaabcbaccdcbdcbdbdbabcbdbadcccabdbadddbbbaadbddbad
+badbccaacbccabacccdcaabcbbadadcabacbbbdabdabaadcddccbbdacacacddaaddcbbabadbccadc
+acadcacbacaaddbcddaababcdabaaacbbacca
+cbdbcbababdcbccaddbbbcdddbccaacbbcadcddadddaacabcdccabcbcbababcdbcdbcdacdcbacbbaabdbdadabcbadab
+baadbaddccabcdcdccdcdadbadcaadaacbbdd
+cbbccabdcacdaddcdbbdcdcddcacdcdbbcbbddbcacbdcbbbdcadadcadccbdbacdbdbdbcadaacbdadcbccbdcbddcacbbbbddadba
+bddcddcdddcdacdbdcdbaddbcddcabcdadacdcddbbaddbcbdccbcaac
+adbadcbdbcddadcbadab
+dacdaaaabbbabdacacccd
+caaccdccdbbccbadaadbcbcddabcaaaaccddd
+cbbccccaabbbacccdaadaadccddcbda
+ddadcbaacaabaaccaacdbd
+adbcbcabdcccbcbaadbdaabababddbbcbbaacdddaaccacdcddadbcabbccdcaddcdddbdc
+bdbaddbabcbdbdaccdaaddbdacdbdbbcdbcdbdccbacbccadbccdcddbbddbcbddadbbcaccbcdbbaac
+bdabbddadbaacadadacbbbabbadcbccddcbabcccbcadabacbddbbcddccdcdbbbcddcaccdbddbcbacadadabcdaddab
+badaabadbbbbcdabdaccbadaccbd
+adabcabacdbbbbbbac
+cbadabbbda
+abbbccdbdcccdcddcdadadaacddbadaabbadc
+dadbaaccccdabbddbbbdddadcadcaabacdbbadccdbbcccdbbaaaddcdcacdbcdcabcbcdcdbbbdcbabacbacc
+baaacaadbbcdaaacbddbcdaacabddbbabacdabadbcccaabaccbbdc
+adbcabadbbdcababddbcaccbabbddadbbbdacadabadbbadddccaacd
+cbaacdcaacdccabba
+aadbacaacddbbcaabcabcadccadbadcacacbdab
+bbdadbdbdddbadcdcccaccaaaabbcadcacdcbacdddadba
+abcaadddbbbabaabcdaadbbdbb
+abdddabbaabcdcacbcccdddbbcabcbadbcccaadabaacbabaaccbaccdcccaadbaacccdbcabadccbbcaddadbcdbaddb
+aadddbbdbbabdaadbcccdddccbbbbaddaabddcdcdcbdaaccdcddbdccaccdcabddabcb
+babadccaccbbddbdccacabacdbaaaccbcccacbaadaaccabbbaadccdacdbbaccaddbcbbcdcbbcddba
+acdacbcbcaadcbbcccdccbdbcddaaadbadcabaacbddcdddb
+bbdcbdbdcbddaa
+cbcdaadbabcbcacabdcad
+bccbbacbbababbddcabbbacccdabcbbcabdabbcdbbcbbabaabcdbaaacccabdcdbddaacdaacbcbbdbbcaadaaccbbdbadccaacdadcbcbdd
+dcadbabdabdbccbbadababbaccbadcddbccccbbaabcadcdbcdcaaccdadccdbcaa
+daaccbaaacacdaddadaabacccbdbcaacdbbbcacdbcdbadbccacbacdcdddd
+bbcdbdbaaacddcddbaadacacccbcaabcdcdbdbcddddaabddacbdcdbbcacbb
+daabcabccdbddddddbbbddcbaadcbbbdcb
+ddccbddaccaaabbbdbbdacabbcbaacbabccccdadbbcabccdbcdbccdcabbcbccbca
+ddbaabacabdabccdcbadadadaadabcdcaaaadbcbcdadadacdbbcabcacaddabbcbdbcbbabccabdabaadcadcaaccabacdda
+cbadbbdbbdcbbaaddcbcacdadbdbadbcccaaadcbadbbcaddbdaaabddadadacbaddbacacbdbadacbbacadd
+daaaacacbdbbcacaaadddbcdabccbdcadabbdbbacaadcdcacacbdbabbadbbcdacbbcacddcddddcddcdddcdcbdacaaaadabc
+aacacbdabbcabbccbdbdabdcadccbddaddaabddddccdcbddaacabcbdadbbbcacbdcddddabcaabbacba
+dadbcdbabddbabdbdacaaaccddcbdccbadbddcbbcbdcbbccddddbbacacbacccccdccdddcdbcbacdbdaddadacabadbaacbdbdbca
+dbadabdcdbbdabdbdc
+cbacccbdddadbcabbbaccbcddadbbabcacbccbcdcddcaabbbacbccdcdcacacccbbadabbddabddbdcccaaddbcaaacdaadd
+cddbddbccdddbaadbabbbabadacbdabcbcdcdbaccbccdadaaddbcabcccbbbbda
+adccaabcdcccaddddbcdacdabcdccdccbadacdaaddbbbcaaacdccccd
+bbbbcdbcbbdbcbcccccddaabadbcbddbbddbcadbabdacdcadbbddbaaddbbbdbcbabdaacbcbdddcabdbacdddcbacddbdcabddaacdcdadc
+dccdabadacabbcdbccbdcbaabadccaccccabcaccc
+cccbaabdbdabdbbbddbbaadcacddcaaddabdcdbabccbbddcccbcadbdcabbbdaabddcaaccbccdbdcddbaabccdcdcdbdddcbddbbccddb
+abcbbbccbdac
+cdacbbbcdcbbbbdbcacdadbdadbaaa
+cadddcdaadccaabdcddddacbbaabbcbcdbbadccdaccddcabadabcabbcdccdaaada
+acdcbcadadcbabdbdbbbbddcbbbddbccaadadcbbabbdbdddcbddaabaadbdddbdbcdbadadccbbd
+bcaaacdaadccdbbdcbccbbbdcdaabbacbbbbdbabdddccdcadcadadbcbddbaccddabccddbabcddaaaddadaaccabadabaccc
+cccdabccdcadaaadddcdabbabbdbdcdcadcdbcbaaadbbbdacdacbbdbcdcadcdcbbbdbcbbdcdddaccaccdaabcddcbcacd
+cbbbacbdbbddabccacabbbdcaabdcdcbbddcdadcddbcadcaacaabcdcbadaccdddddcadaaacd
+dbacbacccdaddacbbcdcadaabcadadbaabbccddbc
+dacaacbdcdacbcccdabccdbabccbbbbbaaaadbacdbbbdadbaa
+babaacdabacccaccddddadacbdccacc
+abdcbdbddcccabdcdaabcaadcccdaaabdaccabbacbccaacbaacadcaaaacbba
+dddcaadddbaacaadaddadbdddcbd
+addadabaddbadbdbddbadcacdaccbcdcddccadddacbbcbcdadcbdbcbdbcdcaabbdaddccaaddaaaacbcacddadaddbbbb
+cdabcccaabbcacbbcbcdabbbdacdbccccbbcdaaabdcdcabccdddcbacaccd
+acababdadbcbcaddcccacdacbbddbadbcaabdbdcabacaadbbcbbabccdaa
+bcaabcdabbdabdccadbddcdcccdabbadababbbcdacadcccb
+dcbcdabaacbcdacadbadabbabcdccbdbcccacdadbdabcadcddabdabcdaacdbadacaaddddcbbbcccadbd
+dadcaacddadbbdcbbcbbaccaccdacbbdbadacbadadddbaaccccaddabccacabcacabbbaaabdadcaccadccbccdddd
+cbcccbcbaddbbdccccbacbcdadadcdbddaddbadadbdaddadd
+bbccdddbadacaababcabdcaadbabaaaadaaddaacccbabbcbacdcccacbabddccacbdcbcbbccddbadacdcbbdcaaabbacaacbadaddcdc
+dacccaabcabccdddabdbbbbccbccaadcbabdbcaaacbabbdbbccbbcbacbbaaaaddabddaaaaabaddccdaddabbdbdcbdbacdacabc
+daaacdbbdbccbdbdbdaabcadbcaadcbaddcdadbaaabdcccadabccdbcaacccdbddbbcbdcbdbdccaccacccdcadbccabaacc
+bdcbbdbbbbcacbdadbbbcaadadccbcbbbabacaddbbacbcdcbccdabdbbcdcbaabbadadbcbbbadaaadcacb
+bccdbbbbbccbdcaddacbbabbbcbbcaacaccbabcadaacbdcdabaccbacacbcddbbabbdabadababdaddcacbbdbabaacddb
+ddadddbadcbadbacadabccbcacdbccccccabbdcaacccddbd
+addbbdbdadbdbbbaccbcdddcccddcdcdbb
+dcaadababbbcbbacbbacbdabdccdccdbda
+ddcaddaaaddbcacadbadbcdcaadaacddacdbdbabaaadaacbadccdabbaccca
+299 272
+baaaaaabbabbabbabaabbababbbaabb
+abbaabbaababaaabbbaaaabbbaaaaaaaabbbbabbaaabaaaaabbaababbab
+aaabaabaababbbbabaabbbbbabbab
+abaaaababbbbbababbaabbaa
+bbbbaababbbaabbbbabbbbbaaabbaaaabbaaaababaaaabbbabbbbbaaaabababaaabbaababaab
+baabaabaaabbbbabbbbabbaabab
+abaabbaaabaabababbbaababbaaaaabbaabbaabbbbaba
+bbbaaabbbaabababbbaaabaaabbbbaabababbaaaaaaaababbbb
+abbaababababaababaaaaabaaab
+baabbbaaababbbbabbabbbaabbbaaabbaaaaaabaaaabaabbbbbaabbbbaaaaaababbbbbbaabaaaaaabbbabbaaabbabb
+aaaabbbaaabaababaaababbbbbbbbabbabbababbabbbabbbbbabb
+babaaabbbabbbaabbbbaaaabaabbabbaaabaabbabbaabbbababbbabbbbbabaaaaaabababbaabbbbaabbbbaaaba
+aaababbababaaabaaababbababbaaabababbaaabaaaabbbbababbaababaaabb
+aaaabaabaaabaaaabbbbbbaabaaabbbbbababaaabbbbabaababbbaabbaababbbaababbbaabaababababaabaab
+bbbabbbbbbaababababbabababaabbaababbaabababbaabbbbabbabbaabbbaaaabababbaaaabbaaabbbababababababaabbabbbb
+bababbbababaaaabbabaaaabaabaababababbbbbbbaaababaababaaaaabbaaabbabaabbbabba
+babbbbbbaaaabbbabaaaababababbbbbbabaa
+abaabababbbabbbbbbaabaaaaabbaaababaaaabaabbbbababbbababaabaabbbbaa
+bbbbbbaabaababbaaabbbaabaabbbbbabababbabaaaabbaa
+bbaaabaaaabbaabbbabbbbaaaabaaabbbaaaabababab
+abababbababaabaabbbabababbbbaaaabbbab
+aabbabbabbaaabaabaaaaabbababbbbbbbbabbbbbaabababbabbaababbbbbbaabbbbbbabaabbaaabbbaaaababaaa
+aabbbaaababbbabbbbabbbbbbaabaa
+aabbbbbbbbbbbbbabbaababbabbbbaaaabbba
+babaaaabbaabababbbbbabaabbabbbbabbaabbbbaabbbbbabbbabaabbaababbabbaabbaaabababbaabbaabaabb
+aabaababaabaaaaaaaabaaabababbbbabbbaaababababaaaaaabb
+bbbbbbabbaabbbbbbaa
+bbbbbaaaaaaabaaaaaaabababaabbaabbbbaaabaabbbbaabababbbaabaa
+aaaabbaaabbbbbbaababbbbaaaabbabaaaabbbbababbaaabaaabbbbaaaaabaababaabaabba
+aaaaaaabbaabbbabbbbbbaabbab
+bbbaabbbbbababaaabbbbbabbababababbbbbaaaaabaaabbbabaa
+bbbabaabaabaabba
+aabbababaabbaabbbaaaabbaabbbaaabaaababbbabaaabaaabbbbbbbbbbbbabbaaababbbaabbaaababb
+ababaabbaababbbabaaaaaabababbaaaabbbbaabaabbbbbaaabbababaabaababbbaabababbbbbaabbbbbaabbbba
+babababbabbabaababbaabaaaaaaaaaabbbaabbbbaabbaaabaabbbba
+ababababbbaaaaaababbbabaabbabab
+bbbbabbaaabaaabaabababbbbaaaaaaabaaabaababbbbabbaabbabaababbbbbaaaaabaaabbbbabbaaabbbabaaa
+aabbabaabbbbbbbbabbbbabaaaababbbaabbaabababbbabbbabbbbbbabaabbabbbbabbaaaaababbabbbab
+aababbabaabaabbbabaababababbbababbaaaaabaabbbabaabbbaaabaaababbabababbbababbababbaabbbaa
+ababbbbaaaaaabbbbabbbaaabaaababaaaaaabaaabaaaaabaabaaababbbbbaabbaabbaabaabba
+bbabbababaaaabbaabbbaaabbabbbbbbbabbbbbbaababaabbbbbabaababaaabbbbababbaabaababbabb
+abbaaaabaaaabaaaaaaabaabbbababbababaabbbabbabbabbabbbbbbaababaabbaabbbbbababaaaaabbbbbbbaabbaabbabababbbabab
+baababbbaabaaaaa
+bbaababbabaababaaabaaaabbba
+babbabbbbaabababbbaaabbbbbaaaaababbaaababbbba
+bbababbaabbbaabababaabbbbbbababbbababbbbbbbaaaababbbbbaabbaababbaabbaaabbbabbbbbbabbbabbbababababaaabababb
+aaabbabbbaaaabbbaababaaabbbaabababbbaabaabababaabbabbaaaa
+bbbabbaabbabbbba
+bbabaaaaaaabaabaaabaabbaaabbbbbabbaaaababbabababaaaaabbbabababaaabaabaaaababababbabaabababa
+aaaababbbbabaabbaabaabaabbabbbaaaaaabaa
+bbbaabababababbbbbaababaabbaaababaabbaababaabababaabbababaaab
+bbbabaabbbbbababaaabbbbababbbbaaaababbabbbabbbaabaaaaabbbbbbaaabbbaabbbabaaaabababbbab
+aaaaabbabaababababbbbbbbbaaaaabbbbabaabbaabbbbbbbbbbbbbbaa
+abbbbbbaaabababaabaababaaabaaabbabbaaaaababaabbaaaaa
+baaabaaaaababaabaabababbbaaaaabaabbaaabbabbabbbaababbaababbabbaaabbbababbbbbbaaabaaab
+bababbbbaaabbbab
+bbbbbaabbabaa
+bababaabaabbabbbabbbbaaaaabaabaaabbbbaabbaaaabbabbaabbbbababbbbaabbbaaabaaaaaa
+bbbbaabbaaaabaaababaabbbbaaabbabaabaabbbabbabbaaaaababaaaabababbabbababaaabaaabbb
+aaaaaaababbbaaaabaaabaaabb
+baabbabbaaabbabbabaabbbabbbabababaaabaaaaabaaabaababbbaababbbbaaaabbbabbaababbaabbaaaaba
+babababbbaaabbbbbbbbbababbbabbaaaaaabaabaaabbbabbbabbbaabaabbaaaaabbbbababaaabaababaabababaaaaaaaaabababab
+bbbbabbbbbaabbaabaabbbbbaaaaabbbbabbaabaaaaba
+baaabbbbbabbbbbababbbabaababbbabbaabbbabaa
+aaabaaaaaaababbbbbabbaaaabaabbaaaabbababbbaaabbaaaaabbbbb
+abaabaabaaaaabaaabbaaabbbbaaababbbaaababbaababbabababbbaababaababaaababababaaaaaaaaaaababbbabaaaaaaaabaaba
+bbababbbbaaaaaabbbaaaaaaaabaaaabababaaaaaaaabbaabbbbbbbbabbaaaaaaabaabbbaaabbbba
+aaaaaabbaabaaaaaaabaaaababbabaabbabbaab
+bbaabbaabaaaabababbbbaabbbabaaababbaabbabaaaaaaabaabbbbbbbaaababbbbababaabbbaaaaaabbbaaaabaaa
+abaabaabbaabbbbaba
+bbaabababbbabbbabbbbaababbaaabaaabaababaababababbaabbbaaaaaaabbb
+bbabbbbaabaabbbabbababaababbabaabaaabbaaabaaababbbababbaaaabbaaabbbaaaaabbaaabbabbabbabababbabbabbbabababab
+babaabbabbabaaaaabbaabaabababbabbabbbbbbbaaaabbabababababaaaaabbaabaabaaabaabbbbbaababaabbaabbbabbbbaabbbbbb
+baaabababaaababbbaaabaaabbbaabbbaaaabbbabaabbabaababababaabaabbbbabb
+bbaaabbbbabbbbbaabbbaaabbbabbbabaaaabbabbaaabbbababbbaaababaaaab
+aaabbbaaaaabaabbabbabbabbabbbbbbaaabaaba
+aaabbabaabbbbabbaababaaaabbbbbaaaababaabbbbbaaaabaaaaaaabbababbaaaaabbabaabbbbbbbababbaabbab
+bbbbbaababaabbbaabbbabbbababbbbaaabaabaabbaabbbbbaaababababbaaaaaaaabbbbaabb
+bbaabababb
+aabbaaaabbaabbbaabaabbba
+bbbaaabbaaaabaaaaabbaaabaaabaababaabababbaaaaba
+aaaababaaabbbabb
+babaabbbbbabbbbbbabababbbaaabaaaba
+aabaaaababaaaabaaaabbbbbaaabaabababaabaabababbaaaaabaabbbaaaabbbbababaaababbaaabb
+baaaabbabaabaaaabbbbabbaabbba
+bbabbabaaaabaabababbbbababbabaaabbbbaababbbbabbabba
+bbbbabaaaaaabbabbbbaabaaabbaabbaabbbbbabbaaabbabbababbbaaaababbababbbaba
+abbaaabbaabbbbabaaabbbaaaabbbaaabbbababaabbbba
+babaaaaabbabbbaabaaaabbabbbabbabababbabababbabababbab
+aababbbaaba
+abbbbabababbbababbbabbbabaaababaaabbabaabbbaababbaabbaaaaaabaaaaaabaaaaabbaaabaabbbbbabbaabbaaaaabbaaba
+abaabbabbabbbbabbabb
+aaaabaaaabbbbbabbabaaababbbbaaabaaabbababbbbbbbbaaaab
+aaaaabaabababaababbabbbbaabbababbbabaabbababaaabaabbaababaaaabbbbbbaaabbbbbbbbaaabbabbabaaabbaaaa
+babbbabbbaabaa
+abbababbbbbaaababaaaab
+baaababbbabbbbabbbbababbbabababbbbbaaabbbbabaaababaaaabbbababbababaabbbbaabbbbaaa
+aabaaabbbbbbabbbbabbababaaabbaaabaaabaaa
+bbbbbbbbbababababaaaaababaaabbaababaaaababbbabbbbbbaabbaabababbbaabaaaaaaabababaaabbaaababaaaaaa
+babbaabbabbbaabaaaabaaabbbaaabbabbbaaabaaaababbbabbbbbba
+aabbbabaabaabaabababaababababbbbbbababaaaabbaaabbbaabbaabbbbbabaabaababbaababa
+baaaabaaaabaabbaabbbabbbaaababaabaababbbababaaaaaaa
+abaaababbbaababaaababaababaaababaaaaaababbaaaabaababbbaababbababbbbabbabbbbabbbaabaaa
+bbbaabbbbbaaaabbbbababbbabbbabaaabbaaaaabbbbbabbaabaaaaaababbbaabbabbabbbaababaabaaaaaaabaaabbbaabbaba
+bbbbabaaaabababaabbabbaabbabbababbbabaabbbabbbabbbaaaaaabbabaaaaabaaa
+aaaaaabaaabbbbbaababbbbbbabbbaabaaabaabbababbabaaabbabaababbabaabbabababaaaaaababababbabaababbb
+aaaababbbaaabbbabababbbbaaaababbaabaabaaabbaababaaaaaaaabbbbbabbababbbabaababababbabbbbbbbabaabbabaabb
+aabbbaabbabaabbbbabaabaaabbaabaabbabaaabbbbaabbabbabaababbaaabbbbbabbbbbbaaabbbbabbaabaaaaabbabbbaaba
+bbbaababbabbabbaaaabbababbbbabbabbabbbaababbbbabbbbbaabbababaaabbabbabbbbaaababbaabbbabbaabaabbabbabaabbbabab
+bbbaabbaaaaaaaabaabababbbaabbbbabbabbaa
+bbbbbbabab
+ababbabbaabbabbabbaabaaaaaaaababababaababbabaabaabababbbaaabbabbbbbabaabbaabbabbabababbbbbbb
+abaaababaabbaaabbaababbbaaababaabbbbbabbabaababbbaabbbabbaaaabbabaababbbaaabbbaaaaabaabbbbabaaaabbb
+babbabaabbaaabaaabaabaaaaabbababbabbbaababaaaaaababaaabbabb
+bbaabbababaaaabaabbbaababababaaaaaabbbabbaabbbbbbababa
+abababaabaabbabbbaabbbbbabbbaabaaa
+aaabaaaabbbabbbbbabaabaabaabbbbabbaabbabbbbabbbabbbabababbaaababbbbabababbbaaabbabaaabbabbaaabaaabbb
+bababaabbaaabbbabbabbababaabaabbbbabaabaabaaaabaaabbbabbaabbbbabbbbabababaabbabbbabbabbbbbab
+bbbaaaaabaabaabbbaaaabbbbbbaaaaaabaaaba
+abbaaaabbaab
+ababababbbababbaabbababab
+abbbaababbaaabaaababbabaababaababbbaabbabbaaabbbaaaabaabbbbbaabbabbbab
+abaababbababaaabbbbbbbaaabbba
+baabababaabababbabbaababbbbaababbbaabababbabaaaabbbbabbaabaaabbbaababbbaaabbbabaaaabaaababbbbbab
+bbaaababbabababbbabbabaababaabaaaaabbabbbabaaaabbababbaabbabbabbaababbbbaabbababbbbbaababaabbbbabbabaabb
+ababaabbbababbaaabaaababbababbaabaabababbaaabbbbbaaabbbaabbbbbbabbabbbbbaaabbabaabaaaaabbbbaaabaabba
+baababaaabababaabaaaabbbbbbbabbab
+bbaaaaaabbbabbaabaabbabaaaaabbbb
+abaaaababaaabbbaabaabaaaaabababaabbbabbbbaaaaaa
+baaababaabbaabaaaabaabaaabbaaabbbaaababbbbbbaabbabbaaaabbbabaaabaabaabaaaaababaabbbab
+bbabbabababaababaabbaaaabaabbbababbbbabbbbabbbbabbababb
+ababaabaaababbaabaabbbbbaaaaaabababaababbbbbbbaabaabaaaaaabaaaaabaaaababbbbaaaa
+abbbbabbabbbabbaaaabaaaaaababbabbbaabbabbbaaabababaababbababbbbaaabbaaabaab
+aaaaaabbabbabaaaabaababbbbabbabaabaabaababaaaababbbbababbaabbbbabaaaaabaababbaaabbbbbabaaaaaabbaaabbaaaa
+abbabbbbaaabaaababababaabbabbabbbbabbbaaaabbaabaaabbbabbaaabbaa
+abbbbaaaabbaabaababbbababaabbbaaaabbaababbaba
+aaaabbaabbbaaabbabbbabbaaaabbaaabaaabbabaabbbababbabbabbbbbababbbabbababaabba
+bbbababbaabaaaababaabaaabaababaababaabbbbabaaaabbaababbaabbbbbabaaaaaaaaabbbababbabaabaaaabbaab
+aabaabbaaabbaabbbbbbbbabbbbbabaababbbbaaaaabababababbaabaababaabbabab
+aaabbaaaaaabbabbbababababbaabbbbaaababbaababbb
+baaaabbbba
+bbbbaaababaababa
+aaabaabaaabaabbabaaabbabbbabbabaaaabbaaaababaaabababaaaaabbabaaababaabbaababaaababbbbabbbbaababbaabbbbbbabb
+aaaaaabaaaabbabbbbbabaaababaaa
+aaaaabbbabaaaaab
+ababbababbabababaabbbbbabababaabaaaaababbbbabbaababaaaabbbabaabbbabaabaaabaaabbbbaabbbbabbabbbabbbabbbab
+aabaaababa
+bbbaabbaaababaaabbaaaabbabaaaabbbabaaaaaaaabbaabbbbbaababbabaab
+abaababbbaaabbabaabaaabaaaaaabaaabbbbbbabbabbbabbaaaabbabbbaabaabbaaabaaaaaabaaabaabbaababbbbaaaaaaaab
+aaaaaaabbbbbbbbbabbabbabbababbaabbababbbabbbbaaabbabbbabbbbabaabbaaaaaabbaabbbaabbbaabbb
+abbbbbababbbaab
+baaaababaababbababbbbbbabbabababbaaababaaabbbababaaabaaabaa
+abbaaaabbabbaabbbbbabbaabbbbaaabbaaaaaabaaabbbaaabaaabaaaaababaaabbaabbabbbbbabaaaabbbbbabbbabbaba
+aabbaaabbbbbaabaaaaaabaabbabbbabaababbbabbbabbabb
+bbbbabbaabaaababbaaabbbbaaaaabbbbbaabaabaaaaabaabaababaabaaabbbb
+babbabbaabaababaabaababaaaababbbbaaabbaabaaabbaabbaaabababbababababaabbbabbbbabaabbabbbbbaabaaaabbba
+abbbabbbbbaaabbbabbbbababaabbaabbbbabbabbaabbbbaaaababaaaabaab
+bbabbbbaaaabaaabaaabbbabaaababbbbaaaabbbaaaaaabaabbabaabbbbbaaabbaaaababbbbaaabaabbaababbabaabbbb
+aaababaaabaaabbbbaaaaaabbbaabbaaaaababbbbbabaabaaa
+baabbbbbababaabbbbbaabaaaababaaaabbaaabbabababaabaa
+abaabaababbbbabaabbbabbaabaabbbabaabbaaaaabbbaaababbb
+bbaaabaabaababbbbaabbbbbbbbbbaaaaababbaabbaaabaaabb
+bbabbbaaaaababb
+aabaaabaaabbabbbaaaabaaba
+babbbbabbbaaaaaabaaabbbbbbbbbbbabababaabaabababaaababbabbababbbbba
+aaaabaabbbbabaabaaaabbaaabbbabbaaabba
+baaaababbbbbaabbabbabbbabbbabbbaaabbaaabbbabbbbaaaaaaabbbabbabbbabbababbaabbaabbaaa
+babbbabbbababbbaaabbaaaaaaaaaabaaaabaaababaaaaabbabbb
+babbbbabaabbaaaabbb
+abaabbababab
+abababbbaabbbbaaaabbaaaaabaaaabababbbabaaabbabaabbabaaabbbbabbbaabaababbaabbbabbaaaaabba
+abbabbbbabbbaaaabaa
+abbaaaabbaaaabaaabaabbabbbbaabaababbaabaababbaabbaaaaababaabbaaaaaaababaabbbbaaaaabababaaabbbaababaababababa
+bbababbbabaababbbbbbbabbaabbbbbbaaaaababbabaaaaaabaababbbababaa
+bbbbababaaababbbaaaabaabbbababbaaaababbbbaabababbababaababaaabbababbaabaaaaaaaaabbb
+babaaaaaaaababaababbbbaaababbbabababaabbbbbabbbaaabbaabbbababaabbbbbbababaabaabbbabaabbabaabbabbababbabaaaaaa
+bbbaaaababbaaabbaaabaabbbbabbbbbabbababbbaababaaababababbbbabbbbbabbabbababbbaabbbabbaabbbaabbbbabbbababbba
+baaabbabbbbaabbababaaaaaabbbbbabbabbbaababaaaabaabaabbaaaa
+aababbbabaababbaabbba
+bbbababbababbabbabbbabaaaa
+bbbababbabbbbababbabbaabababababbbabababababababaabaabbabaaaabbabaaaaaaaabbabbabbbabbabbaaabbbaba
+bbaaabbbabbbabbbbbaaabbabbbabbb
+abaabaaabbaabaabbaaaaabaabbabbbaaaabaaabbaaba
+bbbabbbbabbbaaaabaabaababbbbbabbabababbaabaabaaabaaa
+bbbbaabaababbbabbbaabbaabbababbabbababaababaaaaabbaaaaabbbbabbbaaaaaa
+babbabbaabbbaaaaabaaaabbbbababbbbaabbabab
+babbbababaa
+aaabbaababbbabbbabaababbbbabaabbbbaababbbaabbb
+babbaabbaababababbaaaabababbababbabbaabbbbbbbbbbababbaabaabbbbbbbbbbabaabbaaaabbbaaabaababababbabbb
+bbbabaaabbaaababaabbaaabbaabbbbbbabaababbbbaabaabbbbbabbbababbabaabababaa
+abaababbaabaaabaaaa
+bbaababaaaaaababbabaababbbbaababaabbaabbababbbbabbaaabbbaabaaa
+abababbaaabbaabbaaabbababbbbbabaabbaabaabbbbaaabbbbaaabbabaabbbbbbaababbbaab
+aaaaaaabaabbabbababaaabbbbbababbaabaabaabbabbaaababaaa
+baabababbbbaabbbaababbabaababbabaabbaabaaaaaaaaabbabaaaabbbbabbaaaaabbabababbbaabaababaabbababbbbbbaabaabaaab
+babaaabbaabaaababbaabaabaaabbbaaababbbbabbaabaaaaaaaaabbbaabbbbbaababbbabbabaabbabbbbabaab
+babaabaabbbbbbaab
+bbababaabbabababbaabbaabbb
+babaabbbaabaabbaaaaaabaabbbbbaabaaabaaabaabaaaababababbaaaabaabb
+abaaabaabbbabbbbbaab
+abbbaababababaaabaaabbbbaababbabbbabbababbbabbb
+baabbababbaaabbababbabbbbababbbabbabaaabbaabbabbbaababaabbba
+aababaabbabbbababbabaaabababbbabbbaaaabbb
+babbababbbabbaab
+aaabbbbabaabababbabaabbabbbbabaabaaaababbabbbbb
+aaaaaaaaabbaaaaaabbabaabbabbaabaaaaababbaaaabaaabbbbaaaabaabbaaabbabbabbbabbbaaababaaaabbabaaaaaabbaba
+bbaabaabbbbbaaabbaababaababababa
+aaabbbaabab
+aabaabbbbbbbbaaaabaaaabbaaaaaababaabaabaabaaaabbabbaabbaabababbbaabaaaba
+bbbbbaaabbaaaabaabbabbabbaabbaabaabaaaabbabaababaaaaaaabbbaabbbbb
+babbaabbaabaaaabaaaabaaaababaaabbaaaaaaabaabbbbaaabaaabaaabbba
+baabbabaaababbabbaababbbbaaaaabbaaabaababbbabbbabababbbabbaa
+aababbabbbbbbbbaaaabbbaabbbabbabbbabbbabbbaaaabababbababbbaabbbbaaaabbaabaabbabaaabaabbaaaaaababa
+aaabbbabbbabaaaabaaababbbabbbbbabbababaaababaabbbaabbaaabbbaabbabaaaaaaabaabbbbaab
+aaaaabbbaabbaaababbbbbaaa
+aababbbaabbabbbbaaaaababbabaabbbbbaabbbaabbababbbbbbbbbbbbbabbaaaaabbbbabaababbaabbababbaabbab
+baaabaabaaababbabbbbaabbaaabaabbababbabaabbbaabababbabbbbbababaaabbbbbbaabbbbabababbababbbbbbbaabbbbaaabbbabb
+bbabaaaabbbaaabbbaabbbabaaaabbaabbbbbbabbb
+aabbababbbbaaba
+ababaabaaabbbbaaabbabbbababbaababbbbaaaababbbbbabaaabbbbabbbaabaaaaaabbaaaabbaaaabababaabba
+aabababbbbababaabaabbbaaaaabbabbbaaab
+abaabbabbaabbbaaabbaaabbbbbabbabbbbaabbaabababababbaaabaabbabaaaaabbbaaabababbabbbbbaaababbaaaba
+bbaaabaaabbbababaabbbaaaaabbbaa
+aababbabbabbabbbaaaababbbaaaabaaabaaabaaba
+abaaabaaabaaaaabbbabbaabbbbbbbabbbaaaabaabbaaaaabbbbababbbabbba
+abababbbbbaaabaaababaaaaaaaaabaaabababbababba
+babbbaaababaabbbbbababbaabaabbaaaabaabbaaaaababbbbbabaaabaabbaaaabbabbaabababbabbbababbbbbabaababb
+aabbbbbaababbaaaaabbbaabaababbbbabaaababaababbabbabaaabbaabbababbbaaaabbbaabbbbaababaabbbabbbbaaa
+babaaaaaaaabababbbbbaaabbabb
+ababbaabbbbaaabbbabbaabbaaabaaabbaaabbaaabbaabaaaabaabaababbaaababaaaaabbaaaa
+aabababaaaaaabbaaabaaabaaaaaabbabbbbababbabaaabaaabaaaababbbabbbbbababaaabbbbaabbaababbaabaabbbaaaa
+bbbbbabbbaabaaabbbbaabaababaabaabbaaaaababababaaabbabbbaabbaabbaababaaabbaabbbbbabaaa
+ababbaabaabbaabaaabbbaabbabbabaaabbbabbbbabbaabaaaaaaaaabaababbabbaababaaaabaabbabababa
+aabbbbbaabbaabbaabaabaab
+babbabbbababbabbbabbbbbaaabbbaaabbaaaaabaabaaabbabbaaaababbabaabbbaabaaabbabbbbbabbbaabababba
+aaabbabababbababbabaabbbabababbbabbaaababaaababababbbbbbbbaabbb
+aabbbbabbabaaabbbbbbabbbbbbbabaababaabbbabaaababbabaabbaaabbbbabaabaaabaaaabaababb
+aaababbbabbbaabbbaaaaabbbabbababbbababbbbaabaaaaababbababaabbbb
+abaaababaaababaabbbabaaabbaa
+abbaababbbabbabaababbaaabbaaaa
+bbbabbbabbaabaabaaaaabbbbaaabbbaaaabbbabaaababaabbbaaaaababbbabababbbaaaabababababbbbbabbbbbaabaabaaabbbbaaab
+babbbbaababbababaabbaabbbabbabbbbbbbaaaab
+aaaabbbaaabababbbaaaabaabbbaaaababbbaabbbbabaaabbaaaaaaabaabaabbaaababbbaaaaabbbbb
+baabbbaabaaabbaabbaabbaabbbaaaababbabbaabbbaaabbabaabaaaabbbabaabbbbabbabbaabaa
+bababbaaaaabbbaaabaaabaabbbabbabbaabbbabaabbabbbbaabbabaaaaaabaabbbbaabaabbababbbba
+baaababaaaabbbbaababbbbb
+baabaabbbbabbbbaaabbbaabbaababbbbbabababaababababbabbbaaaaababbbabbbbaaaabbaaabbbaabaababbabba
+baabbbbaaaabbbbaaaabaabbabbaaabbabbbbaaaaabbbbabbaabaabbbbabaaababbbba
+baabaabbbabbbbbabaabbbbbaabbbbbbaaaabaabbabbabbabbabbb
+abbbbabbababaaabaabbbaaaaabaaaaaababbabaababbababaaaababaaabaababbbaaaaabbbbbabababaabbaaabbbaababababb
+aabaabbabbbbbabbba
+bbbaaabaaaabaababbbbabbbaabaaabbaabbbbabbabbbbaabbaaabbaaaabaabbabbbbabaaaabbaabbbbaabbbaaabbabaabaaaaa
+bababababb
+aaababaaababaabbaaaaabbbaaabbbbbabbbbbaabaabaabaaaaabbaabaaabb
+bbabbaaabbaabbbbbaabbbbbaaabaabbaababaabababaaabaaaaabbabaaaabaabaaabaabbaaabbaaaaabaabaababbaabaa
+abbaaaabababba
+bbaaabbbababbbababbaabaaabbaabaabaabbabbababaababa
+ababbbbbabaabaaaba
+baababbaabbababbba
+bbbbababbbbbbababbbababbabbbbaaababbaaaaabaabba
+abaaabbaabbbabbaabbaabbababaaabaaabbbbaaaaabbabbbaababbaaababbbaaaaaaabbbbbbbbaaabbbb
+aaaaaabbababbaabbbbbbaabbbbaaaabababbaabaaaaababaabaabbbabbaabbbabababaabbabbbbbbabaaaaaaabaabaaaaabba
+aabbbabbbabaabbb
+ababaaabaaaaabbbaabaaaabaabaababbbbabaabaaaabbaaaaababbaaababbbabbbabbabaab
+babbbabbbbaabbaababbbaaabbaabaa
+aabbbbaaaabbaabaababbaabbabaabbaaababbaabbbabab
+aaaabbbaaababaaaaaabbbbaaaaabbbbb
+baabbababaabbaab
+bbbbabbbabbbabbbaaaababbbbbabaaaabbaababbaaabbabbbbabbaabaaabaabababababaaabaaabbbbaabbaabbaabbabbabbbababba
+abbbabbaababbaabbbbaaababaaabaababbabaaababbabbbbabbababbbbbbabbabbabbababbaabbbbaaababaaaabaaabbabbbb
+aaaabbabbbaaaaabbb
+bbaababbaabaabaaaaaaaaabbabbaabbababaaabaaaaaaababbbbabbbbaaaabaaabaaaaaaabaaaabba
+baaaaaaaabbbbbbbbbabbabbbabababbaaaabbbbbaabaaabbaaababbaabbaabbabaaabaabbbbbbabbabb
+abbaabababbaaaaabaaaabbbabbababbbabaaaabaaaabbaabaaaaabbbbaaba
+bbabbaabbbabaaaabbbbbabbbbbababbbaaaabaababbbbbbbababababababbbabaaaabaaabbba
+aaaaababbbaaabbbaaaabbaaaaabaaababbbaaaaabba
+bbbaabbbbababaaabaaabbaaabbbaaabba
+abbaaaababaabaabbababbbbbaabaabaaabaababbbbaabababbaabbabaabaabaabbbabbaaabaaaabaaaababbbbbaaabbabbaa
+aaabbbbabbbbbaabbaaaabbbaabbababaa
+bbababbaabbbabbababaaaabbbabaabbabbabaabbabaabaabbabbaabaababaababbaaaabaaaaabbabbabbaaabbbaaaaaaaaab
+abbbbababbabaababbbbbaababaabbaabba
+aabbbabbbbabbaaaabababaaaabbababbabbaaaababbbaaaaabbbbabaabaaabbbaabbbabaabbaba
+aabbbaabbabbbbabaabbbabbaabbbbbbaaaabababbaabaaab
+aabbbaabaabaabbbabaaabbabbaabbabaa
+bbaababbabbbaabbabaaabaabbbbaabbbbbabbbbbbbbaababbaaabaabbaabaaba
+aabbaabbaabbaabbaaaabbbaabbbbbaaaabbabbbbaaabb
+aabbbababbbbbbabbabbaabbbaab
+bbaabaababbbbaabbabaabbabbaaabaaabbbbaaaaaababaabbbabaabbabaaabbaabbabaaabaabbbbbaaababbbbabba
+aaaaabaaaaaaaa
+bbabbabbbababbababaabaaaaababbbaabbabab
+aaaabababbaabaabbbbbaabbababbaabaabaabbaaabbaabbbaabbbabb
+baaaaabbaaababbbbaabaaaa
+ababbbaababbabbabaaaababbaaaabaaaaaabbabbaababaaababbbbbbbbb
+aaabaabbaababbaaaabbbbbaaaabbaaabbaabab
+aabaaaabaaaabbbaabababaabbabbbbabbaaaaababbbbbbbababbbaaaaaaabaaababababaababbaabbbbbaab
+babaaabbabaabaaaabbaaababaaaabbbababbbabbaabababaabbabbbaaaab
+bbaaabaabaaabaabaabaaaabaaababbbbabaababbaabbabbbbabaaaaababbbabbb
+baabbbabbbbbbabaaaababbbababaaaaaaabbbababaabaabbaabbbaabaaabbbabaaaabbabaaabbba
+aabaabbaabaabbbbababbbbbbbabaaaaaababaabbbbbbabbbaaababaabaababbaa
+23 1
+bccbacbbabbcbcbbaabaaccbcbcccbabcbcbaabccbccbaac
+aaababcbaabbcbbcacaaacbccbaaabcaaaabcbcbcabbcaccccabccababbbccbaaa
+bacabccaaccabacbacbcaccaac
+bccccaabccbacbbbcaaccbcacbbbccccaacbbbaaacbaacabaca
+abbcabbacabbbbcabbcaabbbbababccbacabacacbabbaabaabcaacaaaacaacaaabcbbbaaabbbbbbcacacbbacacabcaacbcbaabb
+acccaacccabbbbaccaaccabaacbaccaccb
+aabcbbbaabcbabacba
+babbcabbababccaccbcbcabacabbbcccacaaccbbbbcaccacbbabcabcaaaabbcabbaaaaaa
+cacaabccacacaacbcbcabacbccbbbcabacbcbacccacccba
+aabacbbccbbcacabbacacccabaaccccaccbba
+ccaaccccabccaccacbbccbbabbabacabcaaaccbbcbbcbbaaaccabbbccabaaa
+caaaacacacbcabaacbabcaabbaaabaabaaabcabbccabaaacabcaabbcbabbbaaaacbabacbaaaacbcbb
+caaabbacabcacbbcbccacabccbccbbcbccbcaabbaccaabbacbacacbacabcaabacabbaccacbbcccabbbaaccabcccacbbccbbaaaaacb
+ccbccbbbccbbcaacbbbbcaacaabcabbbca
+cabaabcbcaabbcaaaaacabbaccaabbccbacbcbbcaacbaabcaccaababcbacbbcaababacaccacbbbaaaabcbccbbaacbbcaabccacbbccbaa
+bacbabaaacbbbabbbacbaabccccaaacaabab
+baabacaaabbbabcbbbabbcbccbbaabacbabbcbcc
+bbaabbcbbabcaabaacbbcbcbcaacbbbcbcaa
+caaccbcbabccbcbcbacaabcaaaccbcbbaaaaaacacaaaacbcaaacccbb
+aabacabcccbccbbacacabccabcabbb
+bccccbaabaababcbbbababaaccbabacaaaccbabaabaaccbacbcaacbbbcbcbcaabcaababbabbccbcacabccaacccbcbacacaaaaa
+bbacbbacbacbaabacbaabbbacbaacbcccabbbbacaacabbcaacabcaacccbcaacbaacccaccbabcbabbabcbacbbbbcbaccabbab
+bababaaacabbbbcbcbbbbbabacabcaacbabcaababcabcba
+156 7
+baabbaaaabaababbaaabbbabababbbaaabaaab
+bbaaabbbbaabbabaaaaaabaabbaababaaababbbabbbabbbabbaabababaaabababbbbbbbaabbbababbaaabbbbaababaaaa
+bbbabbbbbaaaaaaaaaaaabaaabaabbbabbbbbbababaaaabbaaaaabaabaaaaaaabaaaaaaababababb
+bababbbbaabaaabababbaaaabaababaabbbabbbaaababbbbbaabbaaaabbabaabbaaabbbbaababbaababbaaaaabba
+aaabaabbabaabbbaababbbbbbbabbbbbaaabaaaabbaaaab
+aabbbbbababbbabbbaabbbbbbbbabbaaaabaaaabaaaabaaaabbbababbabbaabbaaaabbbaaaba
+abbbaaabbbbaabbaababbabaabbababbbbbababaaaabbbbabbbbbbaabbababaabaabbbbbbabbbaa
+aabbbbaaabbbabbbbbaaaaaaabbabbbaaababbaababbbabaaabbbbabaabbabbaababbbbabababaaab
+bbbabababbababaaabbbabbaababaaababbbbbbbaaaabbbaabaabbaaabbababbbabaabbabbaabbabbbaaabbabbbbbbbabab
+bbbaababbabaaaaaabaaaaabbabbaaaaabbababbaaabbbabaabbbaababbabaaabbab
+aaabbabbaababaababababababaaabbabbbbaabaabbbbbaaaaaababbbbbaa
+baabbbbbabbababbbabaaaabaababbbabbabaabbbbbbbabbbaaabababbbbabbaaa
+abaababbaaabababbabbaabbaabbbbaaabbaabaababaaabbbaabbaab
+abaabbababbbbbabbabbabbbbabbbababbbbbababbaabaabaabbaaaabaaabaabbabbabaaa
+bbaabaaabaaaaaaaaa
+bbababababaaababbaabbabaababbaaaaabbababbaabbbbaabbbbbbbaabaaabbaaaabbabbaaab
+aaaabbabaaaaabbbaaababbba
+bbabbbbabbbbabbaabaaabbaaababababaaabbbaaaababbbabbbabaaabbaabaabaabababbaaaabbbbaaaabb
+baabaaaaaaaaaaaabbaaababaa
+abbaaaaababbabaabbbbababbbbaabbbbbabbbabaababbaaaaaabbaabaa
+aabaaaaaabbaaaaababaababbbbbbaaabbaaabaabbaaabbbabbbaabaaaabbbbbaabababbabbbaab
+abababaaaaabbbabbbbbbbaaaaabaaaaabbbbbabaaabbbabbabbabbbbbaaaaaaaaabaaabbaaaabaabbbbbabbababba
+bbaaaaabbbaaabababbbabbbbbabaabbaaaabaabbbbabbabaabaaaaaa
+babaaaaaababbbbabaababbaabbaabbbaabbbabbaababbabbbabbabbb
+ababbaabbbaabbabbabbbabbbbaababbabaabbabaaaaabbbbaabbaabbaabababababaaaaaabbbbabbbbbaabba
+babbbbbaaaaababbbbbabbabbbabbababbbbabbbaababbbaababbbaaabbabbaba
+bbbabbbbabbbabaaaabbaaaabbabbbaaaaabababbbbaaaabbbabaabbabbabbbaabaaababbabbaabbababbbabaaabbbabaabaabab
+bbbbbaaaaaabababaaaabbbbbaabbbbbabbaabbaabaabbabbaabbbaaabbbbbbbaabb
+baaabaaababbabbabaababaabbbaaabbbbbbababbaababbabaababbbaaabababaaaaaba
+bbaaabbbaabbbbbbaaaaaaaabaaaaabbbaabbbabaababba
+aaababbbbbbabbabbabbababbaaabbbabababbbabbbbaaaaabbbbabbbaaabbaababbabababaaabbababaabaaabaaa
+bbbaabbaaba
+baaabbabbabbbaabbabbabbbaabaabbbaaabbabaaaabbabbaaaaaababbabbbbaababaabbaaababbaabbbaaabaabbbbbaaaabbaaaa
+bbbbabaaabbbbaaabababbaabaaaababb
+baaabbbaaaabbabbaabaaaab
+abaabbaaabbaabaababbaababbbbbaaaaaabbaabbaaabaaabbaaaaaaaaaaabbaabbbbbaaba
+bbbaabbbababbbbaabbabbaabaaabbabaabbababbbaabbabbbba
+abbaaabbbbbbbababbaabbaaaaaabaababaabbbaabbbaabbbbbaaabababbabaaaaabaaaaabaaababbabbabaa
+bbbabababaababbbaaaaaaabbbabbabaabaaaaabbbaaaabbabbbbaaabbababaaaaabbbaabbbbaabbbabaabbbababbbbabbbbbaabba
+baaaabaaaabaaa
+abaabaaabaaabbaabbbabbbbbababbabaabbbbbbbbababbbabbababbbbbaabbaabbabbaaabbabbbaababbbbbbbaab
+ababbaabbabaaaabbababaababbbbaaaabababababababaaabaabbabbbbaaa
+aaabbababbaaababbaaaabababbab
+abbabaababaabbbabaaaabaabaababaabaaaabbbababababaaabbbbbabbbaabbbbbbaaabbaaa
+abbbabbbbabaaabbaaababbbbbbabbaababaaabbbaaabaaabbbbbbbaab
+abbaabbabbabbaaabaabaabbabaaaaabbbabbaabaabbaaaaaabababbbbaaaaababbbabbabbbbaaaaaabaaabbb
+baabbbaaababbaaaabaabaaaaaaaabbaaabbbbbbaaaaaabbbbaabbbaaabbaabaaabbabaaab
+bbaaabbbbabababaabaaaabbaaaabbabbbbab
+baaaabaaabbbabaabbbbbbaabaabaabaababbbbbaaaaabbaabbaabbbbababbbbba
+bbbbabbbbabbbaaababaabbabbaaabaabbbabbbbaabaaaab
+aabbaaaababbabbbaaabaaabbabbabbabba
+babbbbbbaaabbabbbabbababaaabbabababbbbaaaabbbb
+aabbaaabaaaaaaaabbbbbabbaabbaabaabbbaaaabbbbbabababbababbab
+bbabaabbbbbaaabbababbababababababaabbbabbbbabaaaabaaaabababbaaabbbbabbaababaabaabaabbbbbaabb
+aabbaaaaaaabbababaaaabaabaaabbaaabbaaaaaabbababbaaaababbabbaaabababbababbaaababaababbabba
+baaaababbbbbaabbbbbaaababbb
+baaabbabbbbbbabaaaababbbababbbbbbbabaaaabbbbaaaabbbabbab
+baababaabbbbb
+abaaabaabaa
+aaabbaaabaaabbbbbababaaaaabbabaaaaabbaabbababbababaabaaababa
+abaaaaaaaababbabbaaaabbbaaabbbaabbaaababbbbbaaaaabbbbabbbaababababbabaabaaaaaabaaababbababab
+bbbababbbabbababbbaababb
+bbbabbbababaaabbaabbbabbbbaaabbbbbbaabbaaabbabaaaaabaaabaabbbbabbbbbabaababb
+abbaabbbabbbbbbbaaaaabbaaabbbabaabbbaaaaaababababaaaabbbbaababbaaabbaaabaaaabbabbbbabbabaabaabba
+abbaabbabaaabbaabaaaaabababaaa
+aaaaaabbaaaaabaaaabbbabbbbbbaaabbbbaaabbaabbabbbaaaaababaabbbabaab
+bbabaabaaabbbababbaaababaabbabbbbabbababbaaaabaaabaaaaaaaabbaabbabbbabbaabab
+baaabbbbaaaababababababaaabbaaabaaaaabaabbbbaaabbaaaabbaaabbaaababababababbaabbaa
+bbbabbaabbbbabbabbbbbaabaabb
+aabaababababaababaa
+abaaaaabaabaabaababbbbbb
+baaaaaaabbbbbabaabbababaabbabaabaaaabbbbabaabbabbaabbbbbababbababbababaababbbba
+abaaabaaabaabbbabababaaaaaabababbaabaa
+abbababbabbbbabbbbbaabbbababaabbbbababbaababbbbabbababbbbbbbaabbaaaaa
+bbbbaababbbbaabaaabaabaa
+bbbaabaababbababaabbaabaabbbbbabaaababbaabbbbbaaabbbababa
+abaabababbaabbbababaaaaabba
+abbaaabbaaaabaaaabbaabbbababaaaabaababbaaabaaab
+baaabbababaabbbbaaaaaabaaaabbbabbbbaabaaabbaabaababbbbabaabaaaaabab
+babbbababbbaaabbaabbbaa
+ababbbaaaaabaaababababbbababbabbbabbaab
+babaababaaababababaabaaaabbaaabbabababaaaaaabaababaabababaabbabbbbbaaaa
+babaabaaabbbbbaaaabab
+babbbbaabbbbabbbbbaaaababbbabbbaaabaabbabbaaaaabbbaabbbbaaaaabbbbbabaabbbabaabbbababaaaabbbaaaababaaaa
+baaababaaabbabaabbbaaababbbaaaabbababaaaabbababbbbabaaababaabbbbbbbbaaaaabbbaaa
+aaabbbabaaabbbaabaaaabbabbbaabbabbabbabab
+babbbaabbbbaaaabbaaabbaabbabbbbbabbbbabaaabbababbababbaaaaaaabaabaaaababbbaaababbbabbabbaababaaabaa
+babbabbaabbaababbabaaaabababababbbbabaaaa
+babbabbabaabbbaabbbaababbbbaabaabaababbaaabaabaabaaabbaaaabbabbbbbbbaabbabbbbbbaa
+aaaabbababbbbbabaaabbbaabbabbaabaaaababaaabaababbbabbbbbbbbbbaaaabbabbabaababbab
+baaaabbababaabbbbbabbabaaaaaabbabbbaabababbbbbbbbbabbbaaababbbaabaaabaaaa
+abbaabaabbbaabbbbbbbabaaababbbaaaaabbbaa
+abbabababbbbaaababbbbabaaaa
+abaabaabaababbaabbbabaabaababababbbbbabbbaaababbaabbaabaabbaaaababaababbaaaaaabaaabbbabaabbaaababb
+bbabbabbabaabbaaabaaaaaabaaaaaabaabbaabbbbbaaaabaaabbbbbbabababab
+aaabbabaabbbabbabaababababbbbaababbaaabaaabbbbbabbababbabbaabbbababa
+aabbbbaaabbabbabaaabbaababababbbbbbabaabbbbaabbababaabbbbabbbabbaaabaaaabbbbaabbaaabaab
+bbabaaaaaaaaaaabbbabbabbaabababaabaababbb
+abbabaaabbabbaababaabbabbbabaabaabbbaabbabbbabaaaababaaaabbbbabaaabbbbbabababaabbababbbbaaaaa
+aaabbaaaaabbba
+aaabaaaabababbaaaababaabaabaabbaaababaaaabbabbabbbbbbbaaaabaaabaabaaababbbabbabbbababaaabbaaaaaabababbbb
+babbbabbaababababbbb
+bbaabaabbabbaaabbababbbababaaabb
+bbbbabbbabbbabbabaabbbabbbababbaaaabaaa
+baabaabbbababbbababbbbbbbbababbabbaaabbbbaaa
+bbaabbaabbbabababbbabbaabbbbabbbaaaaaabbabbabbabababbaabababababbbbabbbaaaabbbabaaaabaaabbaaabbbabbababab
+abbbabbababbaababaaabaabbbbbbbbbbbbbbbbbbbaabbaaab
+baababbbbbbbabababbbbbabaaabbabbabbabbbbbbbbbaaabbbabaabbabb
+abaaaaaabbaaaaaaababbaaabaaabaabaabbbaaaababbababa
+aabaaaaabaabaababbabaaabbbbbba
+ababababbbabbbbbbbbbabbbaabababaaaaabbaababababbaabaaaaaabbabbababaabaababbabbabbabbabbba
+abbbbabbababb
+aaaabaabaabbabaaaabbabaabaabaabaaaabbaabbbbbabbbaaabbbaaaabbababbabbbabaaabaaab
+bbabbabbbaaabaaaabbbabbaabbbaababaaaabbbbbbbaaaaabbaaababbaaabbbabbbaabbbabbaaaaabaabbbbaaabbbaabb
+babbbbaaaaaaababaabaabbaabbbbabbbbabaaaabbbbabaaabbbbaaababaaaaabbbbbaaabbabbaaababaabbabbbabbbbb
+ababaabbaabbaabbbaaaababbabbaabababbaaaaabbb
+aababbabbabababbabbabaaaaababababaaaaaabbbbbbbabaababbba
+babbaaaabbbabbbaabbbabbabababaaabbaababab
+babbaabbaabaaababbbbabaabbbababbbbbabbaababaabbbaaabbbabbbbaabbabaabaabbababaabbbabbababbbaabbaaaaabaaabaa
+bbbabaaaab
+abbbabbbbbaabbabbabababbabaaaababababababbaababaaaaaaaababbbbbaaaabbabbabbbbaabbaaabbabbaa
+aaaabaaabaababaaabbaaabbbbbaaaabababaaabbbaabaaaabaaabbabaaaaaaaabbbabaaabbbbbabba
+bbbabbbabaababbbbaabbababaaaabaaa
+aaaaabaaabaaaabbbbbbb
+aaaabbabaaabbaabbaaabaababbaaabaaa
+aababaabaabaabbaaabaabbbbabbbaabbbaabbbbaaaabaabbba
+aabbabbaababbbaabaaaababbbaabbbaaaaabbbabaaabaaabbabababbbbbbabbbabaabbaabbbababbabababbbaa
+aabaaabbbbbbababaaaaabab
+baaabaaaaababbbaaaabbbbabbbbbbaaababaabababbbbbbaabaabbaabaaabbababba
+aaaabbbaabaababaaabbbaaba
+baabaaaaaababbbaabaaababaabbbbaaaaababbaaababbbabbbaabaaababb
+bbaabbbabbabaaaaabbbabbabaaababbaababababaaababbabbb
+bbaabaaabbabaabaabaaaaaabbaaababbabbbabaaaaaaabbaaaabbabaabab
+baabbababa
+aabbbbbabbbaababaababbbb
+bbabaabbaaabaaabbaabbbbaaabbabbaabbbbbbbbbbbaaababbaabaabaaaba
+bbaabbbabbbbaabaababbbabaaaababbbabbbbaaaaabaaaababaaaaababaabaabba
+abbaaaababbbbabababababaabaaabbbabbaabbabbaaaabbbbaababbabbbbaaaabaaabbaaabababbb
+abaabbbbbaaaaabbbbbbaabbabbabaaabaabbbbaababbbbaaababaababbbabbbbbababbbbabbbaaaaabbabaaaaabababbaa
+abaabaaaaabaabbab
+babbabbbaababaababbbbaaaaababbabaabaabbabbbaabbab
+baaaabaaabaabbaaabbabbbbabbaaaaaaababaaaaabb
+bbabaaabbbbabbaaaaabbbbaabbbbbaaaaaaaaaabaabbabababbaaaabababbbababbbbaabbbababababaabbbbabbaabbaabbabbabaa
+baababaabbbbaabbbabababbbaabbbbbbbbbbabbbaabbbaabaaaaaaababbaaaaabababbabaababbbbaaabbbbbbabbbbabaaabaaaaaa
+ababbaaabaaabbbbababaabbbaabbababbbbabbbbbaaaabaaaab
+babaaababaaaaabaaaa
+babbabbbbababbbbbbbbbbbbaaaaaaaaaaaaaabbabbbaabaabbabbabbbbbabaabaaabbabbaabaababaaaabaabab
+bbabaaaaababababbbb
+bbbababbabbbbbaaabbbbaaaabbabbababbababaaaabbabbababbabbbbabaabbbbbbbaaabaabaaabbbbbbaabaaaabbbaabbb
+baaabbbbbbbbabbabbabbabaaababaabbbbbaaabbabbbbba
+baababbbaaababababbaabababaaaaabbbbababbbbaaaaabbabbbbbbbabbabbbbbaababbbababbabbaabbbbaaaaabbb
+aabababbaabbbabbbababaabbaabbbbbbaaabbabaaabaaabbbaaabbbababbabbbabbbbbbabaaaabababaaabbbbbaabaabaaababbbbb
+bbaabbabbabaaabbaaabaabbbabaaabababbaaababbaaaaabababaaabbbbbbbab
+aabaababaabaabaabbbb
+aabaaabaabaabaaaaaaabbbaaababbbabbbbbaaabababbaabaabbaabbbbbbabbaababbbaaabbaaaabbabaaaaaba
+abbbabbbabbaababbaaabaabbbaaaaabbbbabaabaaabbbbbababbababbbbbababbaabbababbbbbabbabaabbbabbaab
+177 66
+abccaabcbcabbbbaabcbacbabacbbccaaacbccbbaabbcbbbababbcaca
+bcbcacbcaaaaccccbbcaccbcababbcabccbbccabbabaac
+cacaaccbabcaaacabcbaabbacabcbbaaa
+bbbcccaaccccbcbcbacaaccbaaccabaccaabaaccccabbbaaabacbacabcccabbcabaababcccbbbb
+cbacbbcacbbabcbabbbcabba
+ccaababbbbabcccbaabccabbbaabbbaaccccccacaccbbbbcbaaacaaaccaacabcccabaacbacb
+babbcacbbcaaabccbbcaabbacbbacabccaacacbbccaaacbbbabbbabbbbabbabcbbacacaccaaccbbaaccbbcaccabbbaabc
+cccbccaacabaacacbbabacaaccbaaccbaabcaacacbccbaacbcacacaacaccaaacbbccbcaacbab
+baacbbaccbbaaaccaaaabacaccbcabccaabacbccaaa
+aaaaccbacccbabbcabbccabbacacbacabaaccaabcaacabcabbbaaabacacbcbaacacccbbccbccbcccccacaacaac
+bacbaaacaccccbccacccabaaaabcccbccacabbcccababaacbcbcccbccbcbbcbbabcbaacc
+bcaaabbaabcbbbccbbbbbacbbaccabbabbaaabcbc
+acbaaabbabcbaacca
+acbacabaaccccabbbaababcbacbabccbcbaccaabbcacbbbccaabbccccababcbccacbacacbcbcc
+babcbbcabcccccbbcbbabababaabcbacbbcbbbacccbcbccbbabccaaaabaccbacc
+baabcbabababccabcccacabaacbbaaabbaaabcab
+abacbbcaaacbbacabaacaacbabccabcccbbaccbbcbccbbbaaaabacacaaaabccbcaacaaaacbabbccaccbcbbbcbccaaccc
+bacbaacacabaabbbcbccccbcacbabbcabcbabbbabcbcbbbbbbaaccaccbacaaaab
+acaabbbabcabbaccaabbbccaaa
+aaacbabaaabaabbbaccabaaccabcaacabaacc
+baccacaccbaccaccabcccb
+bbabacbabbbbcbccabbbabbababbcccbbcccbcaccaacabcaaacabcaaabbcbbccab
+ababaaacccbaabacaabcbabacbccbccabcbccaaaacaaaabababbcbbaacbaabccc
+aaababbacabbcababababbaccacbacccaab
+bbcaaaaabbbbbcaabcbaacbbacbaaacabaaabbbcbcabcacababcabaacbbaabbabacbccc
+ccacccaaacabacaaabbaabbcbbc
+accaacbccbcabccbbaaa
+bbbbaaacaacbbcbbacbacacbcaaaccabbababacccacbacbcbacbaccbbacb
+babcbbacacbbaacccccaaccacccacbbbccaccaccbbbcccacccbccbabaccacababbcaabacaaacbbbcaccbbacaababccbcbbbcc
+bbbcbacbcbbccbaacacaabcbabbcccbbcbcaccbbbcacbaaacbcbababcbabcb
+cbacabbaacbcabacbcaaccbbcccbaabbcbcaccbcbabcc
+aabcaaabacbbbbbcaacccacbbcacccabcaccabbcaabbacaccbccbbbbabcbabbcbaccccaacbc
+acababbcababcaaccccacbaabaccaaababbbcabbbcbaaacbbbcacbaaacacaccbacaccbaaaaabacbaababbbacccaaabaaaccbba
+bcacaabcccbaabbccaababccaccbcbcaaccccabcbabc
+abbbbbaaacaacacbccccbcb
+bbbcbbcbaaabccbacaccabaaccbbacbbbccccacaabcbbcacccacbcacbabccbcabacaaabbcccabbaabcbbbcbcabbccbcbacccabcbcccbb
+bccacacaacababbababbbccaaacaacaabcccbcaababcbaaabcabaccba
+bbababcccaabacbcbcababbccaccbbabcabbcabcbcabbaa
+abbaaaabcbaaacaacbcbaabaaaaccbaaacaaacaacaacbbcacbcacbacabac
+ccacbbccababcabaab
+abcaacbbcbacaacbabbbcbbbccccabbaabbaccaabccacabbbaabbcbcabbacabccbbcaaacbcbbbabababc
+cbaabcbcbcbcbaaabcaccbacabcaabbbcbabaccabbacbbacccbbab
+babaaacbbcccbbcaaababbababbccaabbabbcbccababbccacbcbcbabbaacbacbacbcaccab
+accbcaaaabbbcacaaababbbbbacabbcacacbab
+abccccbaaabbbccabaabaaaababcacbccaccbcccababaabcababcbcccccbcc
+baaaaababababccbcbbccbbacccacbaaaabbcba
+cabbcabaccaaccaacbbbcccbcbacbabbababababccabacbacbbcacacbbbbaac
+ccbaaaaacbcacbacbcca
+cbccacabbacbaacaaaaccbccabbcaabbcbabbbcbbacbacbcbaabcbaaacbabaccaabbcbbacbcbbccaacaaaccab
+baabbaabaaabcbaacbcaabcaacccacbcbabcbbcaccccbabcbcbaababaaaabcccbbcaccaaacaabbbacabcacccccabbcbaccabbca
+cacacbcccacacabcabaabcccbabb
+bbcbacaccabbcbccaabbccbbaacaabbbbbbacaacacbcbbbcbbccabbbaaccaacbb
+cbcaaabcacccbaabbabbabcccbcabccccaacbcbbbccacacabcaaaaacaabbcabcbcbccbcccbcacccaccbacbccbbcbcccaaacacab
+cbbacccbccbaacbcacabacabaacbabccbbbccabbbaabbbccccbba
+aacbababccaccbbcbacaaccccbccaabbccbbabcbbaacccbaccaacbaacbcaccbaaccc
+ccacababcacabbabaababcbbbbbbbbaabcaabcacbcaabacccacabcaaababbbaaccababcccbabbabccacbbcaacabaabcbbab
+aabbbcaacbabbbaabcaccc
+bababaccbaacaacabaaccbaccbacaccbaacbcaabcacacbabacbbabbbb
+bbbabbcaaabababaacaaaaacaaacabacbccacc
+caabccccbaabbaccaabbcaccacacabaaccbbbacaabbaacccccbaabbaccaabbbaacaccaacccaabcccabcbccbaacbcaab
+aaaabbcbaaabcacccaabbabcbaccabcccbacaaaabbaccaacbcccbcaccbcbabbcaacaabaabaccbccabbaaaacccab
+cabbaacaabbccccbccbcaabbbcabacacabaacabbbcabcabaaacaacbaaccbacacbabcbcbccbbacccacbaaaccabcbcccbbccccaabcaac
+bbccababcabbababb
+ccbcccccacacabababccbacbaacbcbcbcaaaabcbacacbbabab
+caacbabcbbabcabbabaaaaaacbbbbbabbbccaabbcaccbbbcbbcccaabbbbbcacaaccbabb
+ccbcbbbccaaccbbcbccbbbbaacbcaabcc
+cbacaacabcaccabbabaacbbaaacacaacbbabaacacba
+bbcacccccbaaaaaaaccbbbcbabbbbaccabcbacabaccabcbacbaaabacaabcbbaaacacaabbababaacaaaaaabcbbacabaccbbabbabaa
+abaabaabcbacbaabcacabaabbabbbccc
+bcbbccaccbbcabcab
+abbacccbbbbbbccbccaa
+abacacababcaacacacaabccccaaacaccacacaaacacabababcbacaaccacacabababacbcaaabacacbbbcca
+bbaacbccacaccccabccccbcaacccababbbbaaaabcababacbbabbcabbcaabcccabcabbccbaccbcbbcabcb
+accaabccacaaabbcaccbabcaaabcbbbaccbcacbbabacbbaccacaacbcacccabacaccbbbbaabcc
+babbbababcabbbac
+abaacbbbabbcaabbbcbacccaabbcabcacabcabbcabccbbacbabcbababccaacabbaacbaababaaaabacccaccabc
+abcaacbacabcacbabcbaccaaaaacacabccacabcaacbcccbbcaaccaaacbbcaacabbacacbabbbcababccaba
+bbbacaabbbbaabaabbca
+aaaabaaacbbabccccccbbababcbabaccacbabbcbbbcabcbbaacbbbcbbbbaaabcabbcbccaccabbbcabbbcbcbcccbacb
+bbacbccbbbacbcbbaaacbaacbccbccbbcaaccaccaababaabcbbcbbbbcabacbbbacbababaccbbbabbbbaacbbacbbcbcccbbcacabab
+babacabaaaccabaacbabacccacaccccabcbaaccbbbccbbbaaaaabbccabcbcaaabcccacbbaabaabcaa
+babcabbbcbbacaababbbbcbcccccbbcabaccbcab
+cccabbabaacacbbbaccaabcacccaacbbbbac
+bbbbcbabccbbaccccaababbbbccaccbccbaaaaccccccbcbabacbaaabccabbabccbaabcabababcabb
+bccacbabaccabbbbaccabcaaaaa
+abaccbacaacbacabbcccbaabaacbbbacbbaabcbabcccaacaaaaccacaaacbcbaaabbbacaacbaabbcabccbabaccaaa
+aaabccbccaacaacbaacbabbcbabbbbcacbaabaccbbccaabbccbbacbbccbaccaccaabbabccabbb
+ccbcabbacabcccbcabacaaccbbccbbcccbbbbbabbbaababbccbbabcabc
+cacbaaabcccabbacaabccacbacbbccaccababbcaaaacaccbcacbccacbcacbaaccbaabaccabababbcabaacabcacbabbbcacc
+aacbaacbbbabcbcbaacbccbbbaacacabbcbbccbaabacabaaaccbb
+cccaabbacaaccbabbbacaacbcbaaccccbcbabacbcbccaacabbbccbbbababccbbabc
+bbccacccbacaccbbbcaabbcabacccababaaaacabbcabbcaabcaaaccababbbbaaaacabcabacbacabcbbcaccaaaacbabacaac
+bbaccbbbcabbbaccaccbabacbaccacccacabbba
+bbabaccbccaccccbabaaacabbcbbbcbcbbaaaacabaaacccabcbab
+cabbcbabccbcacabaccabbcbbcacaacabbbabcbabaaabcaacabcaaccbcacabbaaabbabbbababaacbcbbbbcccaaabcacbbbaccaa
+cbbcbccbcabbcbbacccaaccbaccabacbcbbabcabaccccbcbbaabbc
+aaabcaacabacaacacabbbcacacaabbbbaacbbaacababacacbcabcbbccbbbc
+cbccbcabcbbabbcbbcbbcbbb
+babaabbccbaaaaaaaaacccccacbaabccbaaccbcbb
+ccbbbcaaabcabbaaaaaaacccbbbacbbbacaabbbccbaacbccaccbabbacbaabcacbbbbbbacacaaa
+cbabcaacacbacabcbbbbabacabcaaabcbbacaaaaaaabcacaaccaacaacabccbacbb
+aacacbcabcababcccccabcbbbacbaccbaccabbbbbcaabcbcbcaacccccbccbbabaccabacbccaacaacabcbccbccbccbbaccbbacb
+aaabacabcabbbbbcccccccccbcabbbcaacacbabbcbccbcabccacbbacbbccab
+bbbcbacabbbaacaccaaacccabccaabbcabbaaabacbcbccbaabaccacccbacbabbccbbaabcacbcbcacbcbaacbaaccbbcccccabbccacca
+aaaaaacacaaabcacbbabaccbbcaacacabbbccbaccbcbaaaca
+bbbcccccabbcabbcacaaa
+bacbccaaaacababbbababcccaaaacbababaaaabbaacbc
+ccacacacacbbcbcbccccaaaaccbcacacbccbaaccbbabbacccacc
+bccaccabacaccbcacbbbacbbaabbcbcbbbcacbaacbacaabbaacababbabbbcbaccacababaacbbbacaabcabccbaacaccbcabcccaaaacccb
+abcabbcabbacaababbbccbabbbbaabababbcbcbacb
+bccacbacaaababaccccacbbacccbacaaccabbacccbcababbabcabcbbbbcacabbccaccbcccacacacaacaccc
+bcacacbccccbaaaabccbbbbabcababbbbabccbabcabaabaccbbabbaaac
+ababaacbabcaacbaaaccccacbcbbbccccccbbcbcccbbbbbcacbbcccbbcbca
+bcbbcbbcaccbaaaaaaccacbbcbaaabaccaaababaaabcccaabbaaaabaaaaaccabbbbacbcaaabbccbaacaccbabccbbacabbbcacb
+bcaaabaabcccabcabcbcbbbccbbcbcbcbcacbccabacbcacabbbacabbbcbacbccaaccc
+cbbbaaabbabaccccbcbcaacaabacbaacaaacbbcaccabbbbabbbbacccaababbaaaabaccbccbabcbbcabababaaabababacccb
+bcccaccccbaccccaacbcabcccbbbcbccbbac
+ccccacbacabbcbb
+bcbcbcabcabaacaccccacbbbacaacacbaaabcabcbccccbbbccbcbcbccacbacbacaccbaacabcacaac
+bacbacbccabacacaaccbcabbccbabcaababbacacbcbcbc
+bacabbaccbbabaacacccaacaabab
+cbaabcbaaabcaacccbabababbbcaacaacbccabcacabbacbacbaaaccbaccbccbbaacbbaaabaaabbba
+cacbbcbbcbcabccbcaaabcaaccabbabacabaccbabcbccaaababbccaccccabcbbcbaccaababbabbbbaccacbccaacabbcbabbbbcbacac
+babccbcbccbbaacabccbabcacbbaaacbacbcabcabacbaaacccaccacacaaacccbcabcccaaababcbababbccabcbab
+aacaaabccbaaacacccaabababbcbacbcabaccacacacbbaababaaccccbabbccbacbacbcc
+aacbbabcaccabccccabcacbaabcacaabcabccbcacaabaacaacbbacabaaabcabaacbabccbcbcbb
+bcbabccacbccbabbabbcabccccbbcaabababcacbcaabcaaaccbaabcccbcbbbaabcbccbbaacbcacbcaacaaccacaaab
+bbbbababbacbcbabbcbcaabaabaaabbccbabccbbccccabcbabacbbbabbbabaaacaabbabaacbabccbbcccacacbccabbabc
+accccbabaccaabaaaccbaaacbabaccbbaaccccaccccbcbabbacacbcbcbcbbccaabababbbabc
+bccbacacccbabbaacba
+bcbbcaaacbcccbbcabaacbccaabaccacb
+baaaabaaccbacabccabcbcbabcccab
+cacbbcbaccabbcabcc
+accaccacbbbcccacbcaaabacbcaabac
+abababccbacccbbbaaacccac
+bacaccbbabcacbcbbacacbacabbbaccbcbcacababbabaaacbccaaacabb
+bcccccabcabcbaaaaababbbbbbccb
+aababababcccbaaaabbbbaacccaccabbbcbabcccbcbbabcccaabcbcbaaccaccbbacabaabcacbbacaaccbb
+abbaaaacaaaaccabbabaaaabbcbaabaaccccbacaccccaaccbabcacbabcbcbbbaccaaaccbccaacaaaaabbcbbcaacabacbbcbcb
+bbcabbbabcbbccbcccaaccaaacaccacababcaabacaccacaacaba
+caccabacaabbcaccacbbababacccbacabbbcbcaaaaaabbaabbaaaaabcbbbaabacbbabacacaabcbcaacbbbbbbbaaaaacacba
+bcbacabccbacacaacaa
+cabbbabccacbabcbcbcabacbccabcbacaababccabcbaaccbcacaccbcacbbcacbccbbbabcbbccccabaccab
+aabccbacac
+aaacacbbabccbbaaabaaaccabccaabbccbc
+cbbbacbbbccabbbbacccacbcabbcacccbcbaccaaaaaaacbaaaaaacaabaacacaaabcacccabbcbbabbababbc
+baaacbcccabbccaacccccccabaccabcaacbccbcaacccbaabbcabbabbaaccbbccccabcbcaaa
+ccbbacbabacaccbabcabacabccaccabbacbcbacbcaaccabaacbaaccbabaabcabccbccbbccbbbacca
+bccaabbbbccbaacccbbcbaaabbcacabbabbcbabcabb
+cabccbcaaacbacbcabbaabaccaccbaccaaacbcacccccbaaaa
+cacbbcbaabcababccaacabbabcbccbbacaabccbccbabbacababcbacaa
+cababacbcccbbabbcccaccbbbbcaaacacbcbcbcbacbaabcccbcababcabbbcccca
+cabbacccacababcababccbcabbacbbcaaabbcbbccbbcabcbcbcaccbaaaacaabacacbbcbbaababaaccacbccabacbbacabbacbacacacc
+bcccbaccabacccacbbbcaabcbcbcabcbbcbaabcaabaaacacbabbbc
+aabcbbbbcbcacabb
+cbbabacaccbbabbabcccabbcbbaabbbcacacbaaacabacbbccabbabacaaacabaaacaaccbcbcbbbcaabaccca
+aaacbccbccacaacaccacbcbcccbcbbcbabcbbcacacaaccbcccbaaaccabbacbaacaacaabbbbbaabccaaaacaabccbbcbab
+ccaabaccbbcacaaccbbaacabcbb
+baabaaccbaaaacccabacabccabbcccbbbcccbaacaccbaaccabbacaacacbbcaabcaacbccabcababbbbcccaaaaccc
+acbbbaacaaabaaccacabbbcbabaccccaacacaabcacaccaabcbbcabcabbaacbcbaabacbabcabacabbabcbbbbbaccaccccaaacacbaabba
+accabcbcbbcabaabbbcaaccaccbaccbacabbbcaccaa
+bbbbabbbcacacaaaacaaacbbbacbabcbbbaaccacbaabaaaacbaabbbbbccaccbccacbbcbbacbabb
+acbbcbbaccabaabacabaababccbb
+aabaccaaaccbacbbccbcbaaaabcccaabcbbbabcacacaacacacbacbbbcccabbbbbaaabbb
+abbaabccaabbacbbabbbbaaccabacbbbbcbaaccbaabbccbaaccbcabbcbccabcbbaababbcbb
+ccbbcbaaacbabaabbacbcbccccbabaccbccbbacccbbbaaaccacaccabbacabcabcbbabcbbacbbbccbcbaabcb
+caaaabaccbccbbaacbbaccaacbcacaaaccccccbbacbcaabbbbaaccabbcaacccbacbababcbacccacaacabbcbcccbb
+aaaacbabaccaccbbcbccccabbbcbbbbccaabccaabbcbababcabbabaab
+acbbcaabbbbbcccabbaababcabccccacbbcbacbbbaabcaabcccbbbaacbccaccababccbccbacccbacaabacbcabcaccabc
+ccacbabacbcccaabbababacabbccbaacbccbbaccacaabbccabcbbacccbbaaabbabaaacbbabccbbaaabbcbbabcaaaa
+abcbaabcbbacaaabbaccabbaccbbcbbbbcaabcaccbbbaaababccbcbbabacbcababbcbcaaaaba
+bcabaacbcabbacbbabaaabccbccccabcbbcacaacacbbaaaacbbaaaaaabccacacbbccaab
+abbacbabaaaacaccbcbbbbcabbcbbcacabccccabccbabbcbbbcc
+caaaccabbaccbacabcbbacaccbbbccbabbaacbacabcaaaacbababaccaccbcbbacaabbcbacabccaccbcbaabccbbabccbccccac
+cbbaacaaabcbcbaaacacbacbbbacaabaccacbabcbcabcbcbccabbbcacbbbbbcacabcaabaccccbbc
+baacabbbcbaccaccaababbbbaccbbcacbbcbcbcbbaabcbcbaccbcaccbcccbcbccabacbaaacccccabbcacc
+cbccbcbaaabcaaaacacaaaabcbbcccbbabcbabcaaabcbccbaaabbcbaacccccccbbbacbccbbcbbcbbccbcbacbbcaccabbababaccc
+18 11
+dabdadddcbbddbdddcbacbbbbbcacddbdcdaabcccaddadbbbadcdccacabbbbacbdabaaccabbabbccddcca
+ddaaaabcadddcdbccbacaacddd
+cbadcccaadcbbababccacdcadbbbdabbbcaacdaabadcccc
+badaaaabdcadbbbdbbbdaaadbadcaaccaccadaaabbddabcadddbaddccbcbbabdabdadaaddcaabdaacbaccdbddabcbadadbbadcacbb
+dadcabdbbc
+cbbadbdddaabaabdcdbbdddac
+bdbcbbaddbcdacbcbcddaadbcbdacdabddabcdbcbbddbddccccbdbadbaacbcdcbddabc
+dbbabaadacdbbdaddccbbabbcbcdccdbdabacdacaabacdcababbbcadcbcd
+bcbcbcbddcdbdcdbbccacccbdadbbbdbcdcdaabdbabaabadbdcddaccbbca
+dabbadcbccddbadcaccbcbbdbcdadaaddacdbccddaaddddbaacaaaccbabcabbcdaccbbcabdac
+dbbcdaccadabcbdcbbddbcdaabcbcacdcdaddcbdbbcdacbbdbacbcbdbcddaad
+dddaacccacadcadcbbcbbccbdbabdaabbcbcbaac
+bcbddcaddbbabddbbbaacbdadaadbbbadbdcbbbacdabacaaacdcdbdcbccddcadccdcaabddacababbbcdacdbabcb
+ddbdcbcabcdcaddacbda
+cadddabbaacbcbcbdcdababadbbbdcdccadaadcccdcbabadbadcbdccdacdddccccdcbcdbbbaabdbdaaaccdcbbddabbaabaadbdbdc
+bcbcadbbcdccdaadcbbccdddddbacdbaadacdaccbbcadbcadabddbaddabcacddacacaadacbbdcbbbccdcdababccac
+dbbbabcbcaccbcababdbddcddbaaabaaacbdddaadabbdcbadccbadcabcaabcbabacbcdabbddaddbb
+bdcadbadddbcbdacdbcccbadccaaabdddacdadabccbdacaaabbdabdddbacdddaabbcdaccccdaccadbacaaddcba
+3 1
+bddbdadcbbaaccbbdabdbaabacacbadcbddcbacbcabaccbdbdabcccdbcaacbbdbbbabababc
+ccbcabdacbadabadbcbacacddccddbbbcaadbcac
+bcaaadaabadacccbacaadbcddcdabbbdcadbbbacadcccabbddbaddbaacccabadcdcbdabbbcbbb
+213 136
+babacaaaabacccabacacccbbccbcbcbaacbabbaacbbbabaabaaabcbcbcbbabbaaabccabbca
+baaacaaabbcbcaaabbcaccccbccbcacbbbbbcbbbabccaccbbcbacb
+accabcacbbaccbaabbbaaccaaabbacccccbaabaccacaababbac
+acccbccccaacccccaccabacbbcbcabccccc
+bcbbbacabaaacacababaaaacbbaccacbcccbcbcccbcccacccacccbcbcbbaccccbacbcbbbcbbaaabbbbbbabcacccacaaccacaabb
+cacbcbcbcbcacacacaccbbbbcbcbbb
+acaabcbbcaccbcaaabaccab
+aaaccaacacccbcbbacbaccbbbbbcabcaabcabbbacbbcacbccccccbacabbb
+cbbbacccaccbaaabcbbcbaababcacbaaabacbcacbbabbbbbbabcaaacbbbbcaaabacabcabbabaaaaababaacccbbccabababac
+cbacccaccbabccbaaacbbbbcabbbccbaccaabbcbabb
+aabcbababacacbbacb
+bcbccaaacbaaaabcccaccbcacabcbabaccbbccabaacabcbbabaacabbbcbbbaaccaababcbcccaccccacbbaccaaacbbbaabbbabab
+abacbbcccabcbcaabbaaccbababbcbbccacbcbaccabacccccaabaacacabcaabaaacbaaca
+bbbbcaaabacbcabaccbcbabcbcaaaaabaccabaabbbb
+ccbaabbbbcbccbcbbcc
+caabccaabacbccccacbaacbaabbbcaccacbbcbaabbbcbbaacaabaabaabbcbbcabcbcaaabcccaabbababccbbbba
+cabbbacaccaacacbabbccbaccaabaaababbbcabacaacaabcacbaabbaab
+aaacccbcccbcaabccaabab
+bacbabbcbbacacaabaaaccaccbcaaabccaca
+bcaaacccacabb
+baccccbcbabbbaaabbbaccacabac
+abcabbbbbbbcbaaabbbccacabbbccbabbcabcabbcbcbaacbaccbcbabcabcccababbbbbabcccccacaaacaba
+abbbacacaaacbaacccabcbcacbcbcbabcccabbbcbacacacccbbbaaccbbbbabbabaacaaccbacbba
+acccacaaccbacaacababcbbbbcbabbabacbccaaacaabbccacacaccbbcaa
+cbaaabcbccbbababaababccbabbaaccacbcaabccbccccabbababbbcbacaaaaabbaccbacacccabcbbbababaabbabcba
+cccbcbaabaccbacbbcbababbcbaacbccccaacacaacaccaacbcccabbabaabbbabbab
+acaacababacabcbabccacbcbbbabccbbaccaababbabbccacccbbbbbcccca
+cccbbaabccaccbaaaacbccbabbbaabccacbaaaccbccbaabbaaacbbabbcacaacabbaca
+baabaabaaccbbccabbccbaabcccabbabbcaccbbaccbacbcacabbabaccbcabacbbbbabcbabbccabaaabbbcbcbbbacccbabccababbca
+baacccbcbabbbccabbcaacbabcbababaaababaaaccbcbabababaabbbacaabcbcaaccbaaccaabbaccbaccbaaa
+acbaaaaaaaacba
+acbcaccbcbcacbacbccb
+ccacbccbabcbbacaaacbcbbaabbabaaaacabcbcccbaccbaabcaacbcbabaaabacabbaaccccaabcbaaaaacaabacbacabbbbccbaaccac
+bcbcbbaaabbaaaaaababbcacbcaacbcaacbcccabacbaacbbbabccbabbbcbcccacbabacbabcacaaaaaaccbcbaccabc
+bcbcbccbccbaabacbbaaccbcbaaababcabcabccbcacaccbccbcbbbbbbcccabbbacccccccbabccbaababbacaabcabbcbcb
+aacbccbbcbbcccabbbbacbaaaabbaacbcbacbccccbacabcabccababacaabbbcaaccbccbaaccacaacbabccbcbcbcaaaabcaabbacb
+aaabacccbcbbaabcacaccacbccbccbbacaacaacbbbbcbbcccbbccbc
+cbabcaaaabaacc
+aacabacbcbbacbcabbcccabacbababaabacbcabccbabbcaaabccacbac
+ccbcaccbabcbacabbbacbbaccbacabacbacaaacbaacaacaaacabb
+acbcabccccabbcaacbabccbccaabbccbbbccaccbbcabaacaabcbcabccacbbbacccabcbacabcaaaacacaabbacabbb
+bccbaabcbaabcabcccaacaaabcbacabccccbbbbbabbbbaaacbcacacaccbbcbbbcccabbbbbbaabbbabcaaaacabbcbbbbc
+cbccaaaaabbabaaaabbaabbcabbccbbcabaaccaccbaacaabbababbbccca
+cacbcabbcccbbbbccaaabcbaabaccbcbaaaaacccacabaccaaabbacaaacab
+ccacaacccbaaacaabacabcaaaaccaaacbbbbbbacccbcabbbcccabbcccabbbbbacbbcbaaacaaabcccaaacabbabccaccabbabbacabcbac
+abccbcbabaaabcabaccaacbcaaaabccbcbbaccbacabbaabbabcba
+cbbbabacbaacbbbbababaacaccabbacaaccaacabaaacccbbbaaccbbcbaaaacbcaacbcbacccacacbccbaabbabbc
+abccaccacaaccacbcbbcabbbbaccbacbbaabaaaababaccbababaaaccabbababcabbacbbbbaaaabccbbbacaccccbbbcabab
+ccabaaacacccabcbabacbacbcbbacaacabacabca
+cbabcaccaaccbcaaacbaccbacacbacabbbacccbcbaccbacaabbbab
+aacbacabbcaabbcccababbaabbbccabbcbbbbac
+abacbbcbabbbabbabcabaacaaaacabaccccbcaababcacccbacbbacbbccabbcbbccaabacbacbbcbcbcaccaabbbabccabbcbccc
+accbaabababacacabacbcccaaabccaccbccbabbccccabbacaccacbbbbabab
+acbcbbbbbcabbccbabbbcbacbbbbabbcbbbbbabcc
+bcbbbccccbbababaccbbaabcbaacb
+cccacacabcccbbbccacbaacabbabbabbacaacbccbcabbccbcaabcccabcc
+bbbcaabcacbcbbaaacaacbabbabbbacaccacbcbbacabccccaababcacaabcbabaabbbcaacacaaabcacaaabbaab
+abcbaccababcbbcaabacbccaaabccacccbcbcacacaacaccabcbabcbcabcca
+ccbbacabcbacbbcacacabcbcbbaaaca
+ccbcbbabccbbabcabcbcbaaca
+accababccccccaccacbccbabbcaabcacaaccbbbabbcaccbbcabaacabcaccacaabccbbbcabbbabbabbaaaacababaaacbcccab
+aaccbaaababbccbccabbacaccbabbcaacacaaacaa
+aabbabcabcabccbbcbacccbcbacacbbcbbabaabcbcbcabccaabbaaccbbaccabca
+cbabbcbccbaacbaaaacabcabcbcabbac
+bcabcacbaccbbaaaccaccbaccbacbabcbcababbbcbcbabbbcccbcaaa
+bbbbbcbbabbabbcabacbbacaacbcbabbcbcaccacccabbcbcabcbabcabab
+bababbcacbabccababbaacbabb
+cbcccaaccbaccbcbbbbacaccbaaacabcbabcbaaaabaaaccbabcabaccbacabccacaaaccbb
+aabcaacbbabccbcbccabbaccbcacaccacaababbbbbaccaaaaccaaabcbcabcccbcaabcbbcaaabbaacbacacaacbbccbcbaacabaabc
+abbccbbcaccaacbcacb
+aacaaccaabacbcacabbacccbbcbbbcb
+cccbbcaaabacabcbcbbccbacababbbcacabccb
+ccbbcccbbbcacbaabbcbb
+bacabacacaaaccabbcbbcacccabaaabccaaabcacccaabaabcbacbbccbbcaccbbaacccbacacccb
+abbccbbbacaacbacbcabbcaacaacabbbbbbaababbabaaaaccabccbccacabbaabaacccabbcacaacacccaabbcacaabacbaaccbcaab
+bcabcccbcacabacacaaababcbbcbbcaccbaccabbccbbacabbbccbbcbbbabcc
+ccbbbbbbcaacbaacccccabacac
+abaabbbcacbcaacbbbaabaaabcbcabacaaccaccccaccbbccaabcbacaacbbbcbbccbaacbccaabccbacbabccbbcccabcabcaaaca
+abbbaaacaaabbcaccbbccacacaaaaacccbccacaaacabaccacbcabbaabbccababaccbaccaababacacabcbacb
+ababbcbacbcbcabbcaacaacabbbbcbabbbabbabbcaacbabcbbbabccabbcbabbb
+caacbcabcaaaaacbcbacaaaacbababcabbcacacaacacccacbbacbbacbabaacbcac
+abcbbcababaccbabcaabbbbaacacbcbaccaaacbbababbcbbcbabbbbaabcbcbccccccbcbcaaccabbcabc
+abccccbbabcccbbbccaccbbcbacac
+aaccabbbacbcaaacbbbcacbbbacb
+accbababcccbaabaabccbbbbcabacaabacaacabcaaaacbacbaaacccbbabaaaaabccb
+ccabbccbbcaaabbcacacabcacacaaabba
+bbcbbcbacaacacbbccbc
+cabccbbcaabaacccaaccbcaccbbaacabcaaaaccccacabaacabbaababccaccabacbbbcccacacaabbacbabaaccccccaaabbcaba
+bacccabababaaabcabccbcbabaabacccabcaaabbacbcacabcbcbbaccacaacbaabbcac
+cbcbabcababbacbcbacabbbaabbaccaabaacbbaaaaabccacacbaabbcbcbbccbabbcbcccaacacaccbbcbbcbcb
+cbcbbbacccaacababaaccbcaabbababacaababbbaaabbcbacbacac
+cacbcbcbaccbccccbcacbccbabcabbaabacbabbbccbbbbcbbbbaccbaccccabaaacacbbcaaacbbaccbcabcbcbccca
+caabacbcabbabbaaaacabbbaaaaabcbbcbcccacbaaca
+bcbccaaaccbabaacbaaaa
+ccabacbbbccbaabcabbcbcaaabcbaabacacccccccccccbbbbbcbbcccbcb
+caccbcaababcbbbccbcabaabacacbbcccacbcaacccacaaaaaa
+bcccaccbcaacbacacbaaaaaabab
+cbaabccccaaaccacaacbacbaabcaccbcaabbbcaccbcaaccabbbbcbbaaaaccbbaaabcacccabbbccacc
+cbcbccccacaabccaabcbcacbcbccaabacabacbababacbacacbbacccbabbbbacbbacaacbcaabbaaabaaaacccaccaa
+cbbbaabcbacbcbcaaccbccccabbacbcaacccacbccaaaabaacaacbaacccabc
+cbccaccabccacbcbbcaabaaaaababaacbcccbcbacbaacacbcacbabcacbbccbbccbabbccaaabbbccac
+bbbacccababacaabbaabababbcccacacbaaccbcaa
+baabbbbacaaaacbbacacbcbacabcccbcbbcbabcbbaaaabccccacccaccccbabc
+aacabbcabcbbbcccccabbcababacccaacbacbcbccbbcacbcaaaaabcaababcacabbabbbbaccabababcacbabbbabbbcb
+cbababcaacccacbaccbacaacacbabbccbaacabac
+abaccbccbabcbcbacaccacabbbbabcabbbcbcaaabbbaacaaccbcbabccbacbbcaaaacbbaccababbbccbcbabbbcabccbccab
+bbcabcabaaabccbbcacbaaaabbcaccabbbabbccbbcbbcaabcbccaabcababcabbbcbbabacbbaaacbbca
+aaacabaacabacabaabaaabcbaaaacccacabbbccbbccbaacabccbccbbabcabaccbaacbabbbaaacbaacbcabbbccabcbabaccabaacbbca
+bbabaacbaaacbabcaaacaaacbabaabbccbabccbbaabbbabcbbcccacc
+bacaacaabaabcccaccaccaaabbccacccccbbbcbccccaaaaaabccccba
+bbcbbbcccaababbaaabbaaabcabbabcbac
+ccbacbbcccabcbbbcabbbbaacbabbcbacbcaacbcccbbbccbcbcbbacaaabaccbabbaaccbaacbacabbcacbbabaccbbb
+bacacaaaacabaccccabcacabcaabbbbbccacbccccbb
+bcacaabaaccbcabacbbcbbcccaabbccbbcababccbabaaacccbcaabbcbababcaaccbabbabcaacabbbaaabaccaacbbaacccba
+aacbacbaccc
+bcbcbabbcbcccbabccaaaaabbbbccacaacaaccaabbaaccbccabcacaacaaacbccacbbbcbabcbcbccccaaccaabcbacbbacbb
+cacbbabaccacbcbcbbbbbbacabbb
+aaaabaaaaaccccaacaa
+aabcacaacbbbabcababbbbccbabcbbbcabbbbcaaabb
+caaacabcbcaacacbaabbbaacbabbccbcacbacab
+bcbbbbbbbbcccbacabab
+aabbabcccccccabcbaaabcbcbccbaccaaacbcccccbacacaabccbacccbbbaaabbbbcbcabb
+aacbcbabbaccb
+abcbbcccacabacabacbabccbabaacccbbaabacbcbcbcbbbccc
+babcababbccaccbbbbabbabaaccbabaaaaccacbbabcccaacabcbbcbaaacccabcabbccbabcb
+acbccbacaabbabbccb
+abbbabaccbabbacbbbacbbbaabcbaccaabaca
+ccbccabaacccaaabcbccabaacbbcaacbbbaaabbcacabbbbaccbaaccacbbcaacacbcabbccbaaa
+abacbacccbbabccbacbccbccaacacacaacaabcbcaaabcabaabccabbbbbcccbbaaacaacbbcbbcaaaababaaab
+cbbbccaabcbabab
+bcacaccacb
+caaaaacaaacbaaca
+bacbccbcabccbbbcc
+aaccacbbaaaabbcbacccbbc
+acccabcabcccccacaabbaccabcacbacbccbaccbbbbcbccacbbcbbbbaccaccba
+babcaccbbaccacacccbabca
+abbcbacaacaaabbaacabcbabccbcacabaaaaaaacabcbcbbcccaab
+bcbbcbcabccabcbabaabacbacaaacabcccaccc
+acbbbbabaabcabacaaccccacacbbb
+accabbcbcaccabbcacabbabbacbccbcabbcbbaacccc
+bbcbbcbbccaaaaababbbaababaccbcaaabbca
+cbabcbacbabacbacabcbabbaaabcacbabb
+cabaabbcccbbbaacbcbccacbcccbcbbbcccaabcccbbacbabbaaabacaccabccbcbaccacacaccacacbacbcab
+babbbbabcbccccccbbbcbbaacabacccababacbaaccaabcaabcabcbb
+caccabcbbcaaabbbbabccaacbabcaacccaccaaacbcbacbaa
+bcacaccaccbccccacbbbbaccc
+bacbccaacaabaaaaabbcc
+cccbbacbaaaaaccaaaccbcbcccbbaa
+aabbcbabcaaaabbaaaaacaaaccbaacaabbabbbaabacccbbccaaccc
+abbaaabcacbbacacbbaccbbcacccbbbbbccaabaccaacbaaabbbccabcccbbbbacbbbababb
+acaacbcbbcabbcbcacbbabbbbabcaabcacbaccbcacaaa
+caaabccaabbbaacabbbcabacbcbbacaa
+cbcacbccacacca
+ccaccabccbbacaabbacabbbbaccabbabababbbbacaaaaccccaccbabbabaaccbaabcabbaacaccbbaacacaacbacbbabcabbbaaabbbaa
+babbbbabbacaccacbcbaabbacbbabbaabaccababbbbccbbbbbcc
+baaaccbbcbbbbbaaaabcacbcabccaccaaabbcacbba
+baaabccccaaacacbbabbaaacaababbbcbbabccacaaacccabb
+bcbccccbcbccaccbabcbcaccbccaacabacaccbccbaacccbbabacccccbcaaa
+aaccbbbacccbbcabacabcacabcbbbbbbbcaacbabbcbcbaabbbabccaaacaacbcbbaacbbacabbcaccaabbbabbbcbbbcabcbbbbacbbb
+abbcbbcabcccacbbccaabcbacabbaaaccccaaaabcbbbababcbcac
+abcbccbbcacabbbbaabccabccbaababccbccbccbacbbbbbacbbacbcbaababbaacbcbbbabcac
+abbbcbbbbbbbcaccbacaaccbbacbcbabababbbbabbcccaaabaccbccaa
+babaaacacccbbabaabbacbccbaa
+cabbccabbccbbaaabbccc
+acacbbccbbacbabacaaaacbccbaacccbcbbababaacaaacbcbbacaccacabbaababcacbbababbaaccbbaabbbccbbccccacaac
+bbbabcaacbbacbcbcbbcbccabbbbbbbcaacbbbabaccbcabaaabbccbaccbccbac
+cbcbbcbaabaacbbaabbbacbabaabc
+bcccbabacbbcbbaacbbbbbcaaccabbbc
+bacbacbbcabababaa
+acaacbaccbbcacbbbccaabcccbacabcbcaaccbcaacbbbbacaa
+caaaaccbbacbabaababcccccbabbbcbbbccabccbbbcbacbbccaaccababbacabbccbbacaccaa
+aaccbccbccabbaaabbcc
+acbbcacbaccbacbaaaaabbaacacaabaccbcbcbcbacabaccbaccabccbbabbccabbccaccbbccbcbbacacbaa
+abcaaccbccccbacacccccbabcbaaaaaabcaacbaccacaccbcbbabccabbaacccbcbc
+cbacaacabbcacbaacabacaacbcbbaccccacabbcacaa
+cbcbcbaabccacbbbbacacaccabbcaacaabccacaaabcbaabaacacbcbbccaabbabbbabbcaacbcbaabcbbcb
+aaccbcacabbaccaaabcbbaabbbacbbabccaabccbbccbabaabacbacbbcaccbbcbcbabacacbcaacacbaabbbccabaaaccabbbacabcb
+accbacbcbacbaacacabcba
+cbaacacbbabbabbacabccbcacaccccbcacbcbcaacbccaacaccbabcbcaaacabcbcaabbcbaac
+cbcbaccbccccbbbbabbcabcbbcbaacbcabbbccaaaacbaaaabbcabbabcccbbccaabbaabaacbbbacbccacabccacbbbbbbbcbcaccb
+aabbaaabaaabbbcabcccbbccacbbcaaaacbcbcccaabbbbbbcaabcccacbccbcbcb
+aaccbaacaacbbcacabacabbaccbcab
+baabcabbbbabccbaaccabaccababbcbaaabaabaccaabbaabbcbbbbccabcacccabcccaccccccccbbabcaa
+accaaababcaaaaaaaaaacabacbcaaaacaababaccccbccbccababcaabbaabbccacabacacab
+acabcbccca
+acccccabccacbbccabcacbcacaaacaaabacaaaacaaabbcacac
+abcabaaccbacacccccccabcbabacccabcaacbaacaaaccccabccbaccbbbcaab
+bcbccabacacacabcbcc
+accabacaaabbcbcbcbaaabcbbcbac
+abbcbabcaccaaaabbbacccaaaaaabbccbcacacccab
+abacccbacbcbbacbbbbcaabcabaacaabcacccacbccaaacabaccb
+ababbbbbbbaaccbbcacaaacabcaaabbacbbcbcaaaabcccaaa
+baaaccccbbbabacccbbababaabccccbbacaccaabcccbbccaccaabcababbaaabaabbcbbbbacbacbbaaabaabccbccbccbcbacaacbaca
+ccccbcacbccabbbbcbbbbb
+abcbbcbabccaccbcacaabcbabcabab
+bacbbbcaabbacbcbbccbaabbacaccaccabbcccbbaabacacbbacbbaabcabaacbcccaaaacbcccccacacbbcbabbbcaabbcabaac
+abbacababcbbbcbbcacccccabcbaacacacacbacacbcaacabbabaabcaccbaaccaaccbcbcbaababbbcaacbabacbbcbbccbababbcccbbb
+aacccaaacacaccbabaacabbbbcbaabcbabaacbbcaababcbaabbcbbacbbbbbaabbccbcbcbbcccbcbbacccbaacacacbb
+ccabbaaccabcbacababbbcbbbbaaaccc
+bcbaaacabaacaaaacbbbcccbaaacacccacaaaaaabbaabccbaacaacbbbccbaaabbcaccabacbacbacbbbbacbbabcaaccbcacbcbaab
+bbabcaababacaaaaabcbbbaabaabaacaababaccbbaaccbacaaacbaccbcabbcccacbabb
+acacaccbaaabbccccabcababacabccacbbbcbbaaaacaa
+cabcbbabaccacbbbbbbcbbcbbccbbcabbcccbabbacaccbcaaaccbacaaabaabccbabcabbcaacbbaabcabbbcabbcbaccaccaaaccbbcac
+caccabbaabbccbcbbcabbabcbabcabcacbcacbcbcacabcbcaabcbbbcbcaabacaacbacccbbccbacbabbbcababbabbac
+aaaaabcbbcacbccccccaccaaabcacacbcccaccccbaabcbb
+cacbabbabbacbbaaaaabcbccbbaacbcbbcbbabcbccaaababacbacccaababaaabccbaaacbcbccaaaababbbbbbcb
+abaccaacccbaaccacccbccccaaaacbbcacccccabcabbaacacaccaaabcbbbabbbbbcbbaabcbabaaababaaaaabbbcbbababbbcbbbaaaaab
+ccabbcccabcccbbbbbcbbbcbccbaaccaababaacbabcacbccabbcaabbbbbabbacbabcacabacacbcbaccaaaabcbacaaccccbbbcc
+aabcccaccbbabbaabbacacaaabcbaccaabcabbcbabbaaccbabcaacacbacabaaaabaacac
+bbbaaacabcaabccbaacaaacaaaaacaaacab
+bbcababbabcabacccacbcbaacbacbbcababbbcacbccccacbabbcbbbccbcbcaccabcaabacbbacbccbaabcccbca
+aacaccaaabcbacaccbcbbbcacbccaabcbbcaababcababaaccbbccabaacbaaaaccb
+abbbaaaabccbbacbbacabacbcacccbbbbabacbaccaca
+121 111
+cbbdbbbacaddaddadbacdaaccabdcbcdabbccaabbcdadadabdbbbcadbbcdcadabaccca
+caacaaabadcbabddbdddcbbbbaadddcbbddabccddcaccacbbcddacdacccada
+cdcbbcabddababbbcdacbdddbbaaacdbdccdabacadddaacaaddacaaabdbdbbdacdcacdaadbabbabcbbabcccbbdbcbbbcdab
+daddaddbdbdbabb
+dbbbddaabaadabdababcbddcaaaabacababaadaccaccbacadaacaddcddabbcacaaabcdcccaaacbbbbccaddbcbcababaccdba
+caccabdcabcdbbddacbbbcdacaadaaabcccdcbcbbdda
+babbabdbcbadaddcbaddacdddacdabdcbdcacbddddaddaba
+abbbdbbacacdbbaddbcbaccccddccadbbbcacddcdcddcdbcacbaddbbacabbcacdac
+acbbbddbdccaaadbddcbd
+acddabccbbbddcdcdbaaacdcbadccbbbdcbcdbcbdbcbccbdabdcad
+dacbcbcbdacdcbadbcbab
+aacdbddbbabcccbc
+badbbcaadadaacdcbddbbadaaddb
+cbcbacddadaaacacaadadbcdbbaaadacbcbdabbacbcaadcdd
+ccbbcdcbddccdcbdbcdddbcaadbdcabb
+dacbadcdaaabadcccdcbaccddcbadaaaccabcdcddabbbcccabdcbbaaccaacbdcadbbaab
+cdadbacabdacbdababadbbdbacaacbdbdbdacbcaacbaadbbcddaddcbbcabccaccbdaacccaabdbdddcbbc
+cbbccbbaadcaddbdcdbddccaabadcbbdbaabaacbbddcdcdcbacccaaaacddbdabaddbdddddbbadcbaadbbdcaa
+dbcaadcdcb
+acbbcacdccacbaddaababcaadac
+acdacbbbdaabcbaaacddabbdcabadcacdcbb
+ddcddcadccbbdcbccbdacddbcdbcbccdccbbcdacccbddddadcbabbcbcdbdacacacbaabcccadccccaaabcccbcbbabdbbcabaccba
+caababcdbadaadaccaacabdccbbdaaabbacddccbcddcbddcaaacdbcbababddbbdcaabbbbbbbadcaccdccddbbdcbdccb
+abbababdcccbacbbabaabdcacacdbbaabcacdbddccaccccadcddaabbaaddcabbcbcdbbddcaaaacabbcdbbdbc
+abaacaadcabcdbdcdbdcccbadcadbddcdbcdacaaabbcbdababccacdd
+dabbdbacabcadd
+abadacdacabdccacbdcdbdadcbddbddbcbcddccdaccbbbcbdcbbbbabdddddaaacdbbaaadbccadaabddbd
+dcbbdabccbcbaacbdadbaddcdddbcdbaabdaacbadbbacbdcddcaddaccacdbcdcabaabbddbbbdabadddbbbcdbcaacdcbdccaaabbbb
+dacdbaaabdbbdcdcccbabdacacbcaaacacadabcccaaadabaaadbbbbbbadccd
+acddddbaaaaccadcadaacaccdacaaccadaadcccadbdddacdbabbcaccabcbcdbdbcbaacabbbbabbbaaa
+dbbccabaabdcacbbddddbcbacaccaabaadbcccacbadacccba
+bdcbacbdbdcdbbcbbdbaddbdadb
+cdddbbbbadccdaddcbbccababdbbaaadbbcaabcdcbacabbddcabbddbadcaaca
+cdcbabccdadaacdaaabbbdbacdcbbbbadacdccddabdbbcdddaddadabcddabadabacabdbacccccabc
+dabdaaabacbbbcdbbdaaddbbaadbbabaadddadbadcddcadabdbb
+aabdbadacddaabaaaacabbd
+dbbdcbbbddbbbadaaaacbbcdccdadddbbabbaabdbcaccdacadca
+cdabbccdbaacaaaad
+caadddcabaaabaabcbcbddbdabacdddcdcdbcadacddbc
+cbbccbdcdabbbbabbaaccbabdddcdadcbbbbabcdadabcaabaadcccdcadbdabacdcdbcbacbdadcbccbdbaadc
+ddbabdbdabbadcbaccbadcbbcbdbaddcdacbabdccdcbbacadcbbbbacbdaaddbddcadcbccccaabbdbacddbbacdb
+abdbbadcbbabbbbbdbbbbdcadddddbaddddccdabcbaccdbbdcaadcdccdccbabdaadaaabddaddabadadabacdccc
+accddccccccabdcdccdcbcccdaaaaadbbbccbdacaccbdbbabbbbcbddbbdbdcaadbaabcbcabdad
+aabaabddddcabcbdcccbdbcbdacaabdddccdaa
+dccbdddbdccaaaccbacccbbcdcd
+dddabddbdaddcddbcbdbbdaddbc
+bbbabadbaaacdcadcccbcbacbdabdadcbacdaaccddcbdbdbdd
+cbbacadaabdadaabdcbdddaabddcbdadbcababcbaadacddbdddcbcdbcccacaadacbbccccdcdccdacbadabaddccdbadbdaccbacdddbba
+bcbbccbdcbbdddccaddadaaddabacddbaaadbdddbacaaac
+adacdaddbacdaaacadaaacdbdbaaccaabbadcacbabbadcbbacdccbddadbaacbbdbabc
+cbcbddddaddbddddabccdcccbddabbcbdaabacbbacdabaccbbddbaaba
+dadbbbaaaddbbcbadaadbbdbbdbcbdadcabbcbdacdddabdbccbabbddbbab
+cdaabadaacacbabccabccadcdbdcdaacadabd
+caabbdaaadcdcbbbacacacddcbabccbcabaaabd
+accbcdcaacacbcbddcacddaddaabcdadbd
+acddcdcbcabbcbbcaddabba
+cdbdcabcabdcaccdadaadbccababbaccbadbaccbaddbcccdbbddbbcbcdcbccbdaccbdcbbabdababdddadbaaaddbbcbbdb
+dbbcaccadacadcdacbddadccdacbcdabaacbcbdcddcbdaacbccadaadbbcacadddbb
+aadcbaddacdaadbdaddabdcacdcbcabaadbdbcdadaccdbaaacaaaabadadbdadccccdaabbbbcddccbccbccbcdbcddccbbbdcbccbcd
+dccacdbdcbcdadbbbababadaabcdcbbcbdddaddadbdbbc
+badcadcbcbbdcbdcdcadabdadcdcaccbacabdabdacbbcbbbdbaddbcdbacdbcacbc
+dbbdacaabcbdccbbdaabacdbaaacccdccbdbcdcabbdcccbacccad
+bdbdbadabcadbdcdadcbbacdadababcabcdadadcaabaababdbbbaabdcabbbdbdcbdbacdabb
+ccaabbdcddabadadddacbcdcacabddacacbdddadccadabdbacbacdccaaadbadacdbdadacacbdacdbaaaaaccbcddddbcbbdbddad
+ccadabbbbbaaddddcababdcbaadadcbbdbccadbdababcbadbacdddcabdcdabcacadabccdacdacbcacdddcbbcbbdcdadbababdcbaccdcc
+badaabbadbadbbccaabdabccadbcdbdddbdabdbbddcac
+cdccbaaabdccaaddccddbcdbbcdadcaabdabbbbabddcddbbdbddabdbabdabaadabbdabddcdddb
+ddabaabdccaabcbcdccbbcbccbabbdccdcdccacccbbdadccabbdabdcbdcbbcabccabcc
+baabdddcca
+bdbadaacbdbcbbcaabcadddccaaacadbbcdbbdccacbcacddab
+dbdddbdddcdaddbadadbbccda
+bdcbbdcbcbccdcbcadaadacaacddcbddbcaddabcabcdbcdcbccacaacbababadabadbabcabcbadaddb
+abacaccdbdcbbccdaaddabcbdccdabbddccbcbdcacdbccccdcacbbbbbddcdcabdadbadaabacdbcabbccddcaddaabbcaddcbacda
+adbbbadbdcaabaadda
+daaaadacdcadcbbdbbcbbacbadabdcacbaccbbdcbcbb
+abcadadbbddbdcdcbddcddcadbabadbb
+adacbcaabaacdccdcadacadabbbdbabaddccadbdcddccad
+cdcbdbbdbacaddbbbcbcaaccbaacdbcccacddbccddbbbcacdabdcbcdcaabbdaccbaabcadabbaddaadddabdcddbbdcbbbbdcd
+adbadbbbaccbaddbdcbdbcadabddaadaaccbbdcbdaadbcbcbdaaaabcabddcbacbaacddadcdabddaaaba
+cadbddbadccacabcccdbdabbccdcbabbadd
+dcbccaabadabcbabcbbbddacbcbdbccdabbbbbdbcaadcbabbcccacacdcdbcdbccbdccdbaadaabbdacaddcbddbdccbdcccbcadbddbcbca
+baaabdcaacccddabdabbbbbaccccbcddbabcabadacdaaadbbdccac
+baaddbdcabbdbacdbcbbdababbaadacddbbababbbcabbbbbaaabdaddbbbbdcab
+bcdcbadabbcdbdcadcdbabdababbdcbabcaacbdacdabdcc
+cacbcacadcdcbdcccdbdbaabaaadbbdcbcdcddbccdbcdbcddacadbcbcbbb
+bbaddbdbbcbbaccbcbbaddbbcdcdbadcbdcadcccaaaabacbabbbabdccdb
+abaabcabacdcbccaccdabdccbcdcbbbcdaacadbcbbdbadadabccdacbdcbdabdcbaaccbdacbbadadc
+aadbbdabbddaddcdccbbbabcacacbcbbbabadcdbdbcacabcddbdaabcbcbad
+baadbdbabdaaadbacdbbbcddcccddbadd
+bbbcdacadbcdabad
+cdcababdaabdbccabaadbdaccc
+abadadbdbdabaccbbadcba
+bccbacccaccddaaccdccbdbdbcaaccdcccdbac
+acabcdccadcbdccacdacadd
+adcbacaaccbacdccbbaadabacdadaaddad
+bcbbdbabdaacddabbdabbabaacddbacbabbbabaaddbdbdbcbabbddbdabdccbacabaccdcaacbadddcadddb
+ccacdccacbdbdbbbbcaccdbdacbadbdcbaadbdabdaaaacadbcddabcabbcaabcddbbbabbadac
+cabdbdaddacbadccbaccdbbacaaadcdbcaccddaadcaababbcaaaababcab
+ddaadcbdcdddaccabddddcccdadccbcbddbcbdcbdbaaddcccacacbbbdabbcbabadbadcbbdccbc
+ddacadcdadcbaadbdacaccdcdccdcaddaddabdbababddcdbbabadd
+cbdccccacddccbbdbadabcbcbbaccbcbddddbcddcbabbc
+bddbdaabbcdcaddadccddddaddccdbcaccddbabddcacbcbadcaabdcccdaacbabbabcdbabbbbbbcccbcdbddaacdaacbcdccccdbbbcaaa
+cacababccbcabac
+ccabcccccdaccbdaaaadbabbdcdaaadaccadbacacadbcddaabaaacacbac
+bccddddcdbdcadddcabbdacaaacdaddacdb
+cbbcacacbadbabcdadacdcdadad
+aacccbcdacabadcbcbdaabbbcdcababb
+dabcccbbcdaadcdabaabc
+ddcdbabdcaddaccabbcbdbadcbbbddabdbbdccadcdbbbcdcbbdccababcbbbbaaacadcaaabcabbcdbbadaadbbbbcc
+aabcaaddddccbcdcbaaccdaccaddacbddbddbadcadcaaabdbcdbbbdadbdcadccaddabcacdbbccbdddadbcc
+ccaaaadcdcdbbccaaabadaabaabdcbbabcdbdbcacbabbadabaaaabddccdadcaadadbb
+aabddcdcbbcdcbadacbcdddbdcddbddbabddcdacaddcaacaacccbcba
+dbacabaabcdaacbccbcbdccccdcaccbcdbbcaabcdabaabbbdcdaadaaadddcbdabdcbbacabcccadbdbdbbdcd
+bdbacabdccbdcbdbcbdaaabdaadbcbcdbcdddbddcabbbdabcbbadbadcaacdbaaaccacabbbbdccaccdcbcdcdabbabaddcadabada
+ddbabbaadacadcddb
+ddbbaabbadbacdaaccdccadcdbcbdddabbdabaacbdbacacdaca
+bccaccbddcbacdbaabdacbbdccbddabccbaaddcdcaa
+cabacacadbbcddaddcabbcbacdbadcdacaacdcddbcacbaacbdbdacdabbdbaccdcacabbdcbdccbdbdabbacadaaccbbbddbb
+dccaaaabbbcbbaaabcbccbbddbdadccaddaddcd
+accbbacdddacbdaacaaabdcdcbbdcdbaabadcadaacabaccaadaabcddbddaaabdcbbdcbacbdbcbbaaaabbdcb
+daddabcccbbadbcdbabacaccaccbabbadcbabcdad
+288 65
+abdaaacddcdabdaaccadadbcaccbcadcdaadacaabbbbb
+bdadbbaccdbacbaccdcbccbcbaadcdbaaaadabbdbdadcdabcadadbbccdddadcddbcaadabcabcaac
+aaddaddbadcbcdbcaaadcbaadaaaabbadcdadaccabbacabdcddcacdadbadcddbbcacacccdbcbddacbcaddabcacbaaacddabdbcbdacc
+dcaacddadcbbdbbdbabdaccdddddbdaccdccbddaddbabbdbddbcaaacbcacbddaccccc
+bcbaccaadbddcaccacbbcccbbccbcccaabcccbacacbadbacbcccdbdccdbdddacbddaddd
+bacabdabbcbdaaccbcaaadadbbaabadaddacdadaadccdcbcddcbcbddbbbcaabaaacbabbadaccabccbdddddcacdcbbbccaacbdddbcadc
+aadbbbcbcbcabbcdacccaabadadcbbadbabcccccadcaabbbcbcabdacdabccbbaddabddbcdabbccbbbac
+bbdcdbdccbbdacadadadcaacadcbbacbbbccdcbcdaabddcabbccbacaadddadbddddaaddbbbadadccdada
+aaacbacabdabbdabcdcbaacccad
+cccaccbdbcbcadabccdcdbbaaccadbaabdacacdddbcdabaabbccacaa
+bdaadccddccccdcaddcdcdcadabbaccba
+bdcdababdbbcaacbaccbccacdadbdbcdadbdbcaadaadaaccbaacdaaccadabbdcabaaabaccbddb
+bcbbdddbbbcbcbbaddadcacbcdabadcbaaabacdbdbc
+cdabcbbcbdabbdcbabbbabdccaccccbaacabbacbcdabbcbabbacddcbcadbddacccbaadaca
+bbbcdacccabddbcabddaabacbddaadadacbbdbacbccbccddacdcaaddabbadbccbbcccdabbdbcddbccdcbddcaaacaca
+daccdadcdcdcdbabcdaadaadcbbaddbbaabccbabdcacccdadaadbbcdccbbcbbaaadcccbaabbbababacabbcaadcacacccabccdcbcbd
+cbabbcacbdcdbdcacabcadcaadcaaddddacaacadabbbadbc
+dcbddaabbacdabccabbdadbdaccdcbdccbccacaca
+adcbbdbacdcbdccbcbcccaaddcbadcdbdcbcbcaaddadbcbdadbdccadababcadcbaddb
+dbbbccdbddaacabbabcaaaaaaccadcacdbbabacbbc
+aadbdabbbbb
+dddadbaabbbdbcdddcdcacdbbcbbaaaccdcadaaddaddadbcaca
+babaaadcabaacacadbccadacbdbaabcdcabbcaddb
+baaadcacdbdcadabaaadabcbcbdbdabddaaacbabcbbaadacacacaabaaccbaacaaabbcdcddbdddbcccb
+acbcbdbcabdabcacabbdababdcababbbacdcdaccaddaccdcbbdbcbbcdccdcadbdba
+dccdacaacaddcdcbbbcdacbbbdbdab
+caddcabcaddcdaa
+baacaacdaaabbdcddddcdddbbaacdbcddbabaadcdaabbbdabcd
+ccabbbdccaacaadadcdbcadcabcbdcdbaccdabdcaabdbbdabdbad
+dddbdcbbcccdddabbaaccdabaddccdcbabcb
+cdbcacaddbdaccdaaacbbbdccbdcabcdcbdcbdacdacdcadbcdcaacccaacbdbbdaabaadcbdcbdadacbccb
+bdddabacacbdcbbbdbbcacddbadcdcaddabbbcaacabacbabccbcaccaabcbbcbddbadaaddbbcddbddacbcbbcabcdcaacc
+aacddbcbcaabcaabcbcdacbddabdbcabadadbbcbaccbccdaaccbddbbbdadbbddbbccdacaacbcdabddcacaaadcdcabbcccba
+cadacabadacddcbacadbaadacbabccadcbb
+dccbddcacacccbacbcbbcdddbcacddabbcbccaabccbbcdcbdacdddbbbcadacbdacacbdbabcddabdbcbbbbaaabacdbcabadb
+adbddaacddabbbdddccbcdcbcddabacbabbcdabddbcbcaddbcdcddccbac
+cdadbabbaa
+baccbaadbbbaaddcbaaccbbacddbbadadccbbbaabdcccbbdbdbacadcdadcdaccdbdbbdcdaaaacadbbdcdcabdbddabccadbbdabbb
+adabdbaccccbdcaaddcbaccadbbbaddcdddabaaddccccbdcabdbdbdcabcaabaaccbaadddda
+ddddadbcacdccacbaadadcddadacddaaaccaaaaddbaadadcbdbbaccddaaabcccbbaabaaaddaddadaddcddabddaadadbcacbdb
+dadadaabcaacbcbaccdadacbcdabdbcbdcdabbddabacacbd
+dbcdcaadacabccddadabdadcaadbbacaccc
+dbddadbbdccbbdcbacacaddbcbcadbdbadcddabcbdcadadddcddaabadaabbccdaddbcdbbdbdccacbcabdabaacbccddddadaddabbacdad
+ccadabbcdcadbcdcdbdadaaccdadacbccdaaccbdbcbccbabacbbcdadcccacb
+aabdacbdbcbbaabacccdacaddaadadb
+ddcbbcbbcbdbad
+badaadbccabbdddabbcbdaccbbaabcbbdaddabbcbcbbadbccbcaadabaccdabdbcadacaabdccbcda
+dadaacacbccacaaabb
+badddbcbcddadaccabdbacdcdbdacccaabbdabcccdca
+ccadcbbacbccaadbadbbdbaacabdbcccbddddbccabaacabababacaaddacdddb
+cacbadacbcccda
+cdcdcdbddbbbcaacabbccaacbccdcacbadd
+acdbabcbacccccbdbacaabcabacbddacdbdbcbdbcbcbdbdabbbcbdbcddadacbbaddbcbbbdbbbbbddcdcdbddacdcabcc
+aacaccdbcabbdbaaccabbbcabacab
+bdbaccabcbaccaaacacdcdabdaaabccacccabacabddbb
+cbadacdbbbabaadabaaddcdcacdbcbbaadbabcdcbadbccdcabbdcbd
+bbadaaadbdbbbccddcbcdcdbbdabbcaaaaccbabbdadaacadaccabcbdccb
+dccccccdccdddccadddabaaadccdbaaccdaddbdabccaabcaaddaabaccaaaddabcbcacbaccccdaacdbdcbba
+caccabcbdcaabdbab
+dcdbaabbbbabaabdcbcddbdbcddccddbabbacaddcdbbcccaadbcbabcbdabaabdbabdcdcbdbdadacbd
+cbcdabacabaccaacaabbdb
+dbaaccbcbcbbcacadcdbbbbcdbacbbabbaadbdadaabccbadadaada
+bacccbcbabdcbdaaccbadadbbdbcadadbdbaabbabbccbbbcaabaacbaaadbdbbadbcdabcbcabcabaccbbbdbbabaadadddbc
+aadbcdddaabcbbcbbaaaabdcdaddcbbbaaaaabacbbabbcdcbdbcdabc
+dcaadcbbacccbccdbccddddaacbdacabcddbaccc
+cbabcbcacddcbbaccdbaacbadaa
+bcacdaaddcadabcddaaabdcdbcdccccddbbadaddddbacdbbbbcbcbdcabcbaacddcbcbbddabdbbdbaadbaaccbba
+abdbcccdccbbbdbcdd
+bbadbbbabcccbdcdcadaccbccdcdbbbacddadabdbdcc
+bbdabbccddbcaaaaabddbccacdbdbcbbcddbadcdddbbbc
+dccaddbcdcdcabdbcdcccbacdcdaaadacaaadacdccbacabbcccccdcadcaabbacdaccb
+aabcdbbadaddcacbadaadabdabccbcacbcdacdcddcdbdb
+bbccdaaddcdbadadcccaacacccadabadababaacdccddadbabbbddaddbbbadacdadacdadbbadc
+bcadadaadcbbccdc
+ddacccdcbbcaaccbcccaabcbbbcddadabbaaadbbdaacdbdccbdadbaadaadddaddbbbbaabacbdcbdbacdcbdcbcdbdcbabddaca
+cdbccdbdccaddabdcccddbbcaaaaa
+cadabbbcdadaacdabcaacbdaabcdbabcacccbadaaabbddcdaadaaaccbabcbaccbbdcaadbdcbccaacbacaccbacccdcdddd
+aacbbbddbaabd
+abacccdbbdcddabbbacddabacdaddaddbcc
+baaabbaccdabacb
+bcbddaadacaacdbaaa
+dadbcddcccccdabbdbbab
+bdbcaddccbdbdbadddabddcacadaaadbdacbbaaccabbccddadacdcbdbcbcdcdbcdacddcdbbdcbdcdaccabbbcbabcbbbdbddbbdbaba
+ccbdbbcadacabbadbaabcdbcbbabcdcdacaccccdcadccccababcabcbbcdbbdccbdbabbccccadbcbd
+abcabaddadbabbbdcdaacdaccdddaaacacbabcbcacdbdadbaabbadccdadbcbccbdaabdccbaadaababdcbabcbccaaabdccabdba
+acdacabbdcccdabcaabbcabbacabaacdcaadcdaacaccddcdbdcbadaacdccd
+aadcbbdbdbddbadcd
+bbaadbcadbddbccacbbaaccabbacdbcdccabdbcdadadacccacbaccccbcdbaddcdaacbbcdccc
+dbacbdbaadcbbcdacbbacdabbcabcccbabbdbbcdcbcddbcadbabacbbbcdcccdbcbdacabbbdbabdbcddcaabcbcacba
+dacbaaaabbaccdbcabacabaaddcdcbbaaddbbdbcdadcdbcddbddaaaaddabbdbddbbbcaacadbddcdccdacb
+ddbbbaadacb
+abacbccaadcccbbdbdbbbabaacbbdbadccacadcabbcdcdbbdaabbbcdadacbbccbcbbddcd
+acbabcccadadbdcbbdcadababddbbcbc
+cabbcbccdadcacdaaadcbccacbadaabcdabbadacacdbacdccbcaacdcbbbaaaabadaabbccbcacbbbddcabbbcdbd
+caabdcabbcdadabcaddaabbdaadabc
+dabaccacbdcacadcbdb
+bbbacdbccaaadbccbadabbdaacbababddbccabbbaabacbadacdbdda
+bccaaabaccccdbabcbcaccbcdcaadccadbcaddaabaaaadbababacdbcaadbbbaaabadacda
+cbacccaacabcdddacabadadbcbbbbbdcbbacdbaadccabdddd
+bccddbdccbdbbbcdbbdbbacabcabdcabcaaadbbdddbabacbcbcbcbaaaddacbaacdaabbcbacccb
+bcdbdbccdbcdaaddccccabacadcdcaccbccbdbdbdcababdcadbcbacddabbcdddddacccacabacaaccadbcccbdbbdbdacacdbaadc
+ccdadddadcbdccbdabbdbcaaaddbcabbddcdacabdacdcadaadbaadaacaddadaccbbdccc
+bccaddddbddcbcdcbaddcabcbdddabccccdb
+cbdbbabddcbcbddddbadcadccdcbccdbcabbbadbcddbcdc
+cdacbdaadbb
+adaadbdbcadcccdadb
+cdcbaabcccbbabbadbdccdabdabdaccabdcbcbbdccbcdcdaadbaddddadabdbdababdddacaa
+cbdbadcbcabbdadbb
+abcdccccdaaddddadbc
+ccbdcdadcdbdbcbdddaabbcdbcbbbaadddccaaaccacdcabdaac
+dbdacbdcaccdccdaadccbdbacbdcccaacddababcdddbdbcadcdbcdadb
+ddaacdddbaabbdaabadadbdbadcccacdbddbbcaadbcbdcdbbdcda
+dadacdbaacdaaadcddbccbdacaaaccbbddcaccaadcdacacabccbddabdddcbacbacc
+cacaddabccaaaabdcaaacbdbddbbddcbdddbbdcbbacbbbadcddcdbdcbcaacccbaacbadccaaacbabdbdbcbaccbbbabaddbcdacadcbabab
+cdbdcbdcdbcacddaadcdbcbdbdbbcacaaa
+ccaabcccdbdbcaddaabaaaacccaaacabadaccacbdadcdacacabbaccaaacadacccacdabadcdabbaabbccddbdaacbbcdbabcbc
+bdcbadcbbbcacaabdbccabacdbccdcdaabbbc
+cadcdaaccabcbabcaabbcacd
+dcabaacbcaaaddcdcbcdbdcdaadacbdcb
+bdcdacaabaabdbbdbbdacddbaacbddcbdbabcbdcdbacaacbbddcabacbccadbbbabdbddddbabbcdaacd
+adadcdaddbabbaacaddbaacaacaacdbdaddaaad
+adaabacbadccdbbddacdcdbdbdadaccdcdadddababbbddaababcbbcaaabdddaabadcabadddddddccadacdbadbbadddccdab
+ddcabdcbbaccccbcaadbaabadaaddcacacdcbddbdcabcdbccaacaaadadddbdaabddddaccbaabd
+dbccddcdbaadcdcbbcadaabddbcaaacccbbcccbcdbd
+babadcabbccaaaddbbaaabbbccdcaddcaaacbccddbcabacadaadccdcbcacdabdcbbdccabbbaabcdcbbbdbabaacaa
+bbdbadbdbdcbbdcaddadabcabaaadcbcbdbadbccabdacbdcabaadcddcdadcaca
+acacbabcaadadbdcdbbdcbbdaccabcaaacddaaccbcbbdaccacbbcbdcaddbcbdaadcc
+acaabbabcabcacccadaacbdbdcdaaacbdabdcbacccaacdcbaabbddcbdacadcbdaacdbbaccbbdaacaaac
+dbcabadcddbdabadcacdbbccddbaaacdcdcadcbcdddbdbdbcddacdaadbbdadbbaabadcaddaccaccdcdaccbdcabbcbccdac
+bcbddcdcdcabcdcdddbaabdabcd
+bdbbbccbcbbdcabbc
+daccccdadbbbcbcaaaabccddbcdbabbababacacdccadcdcadacadaccdaaabbd
+acadbadbaaddcbcadcacbadbdacdcbadbcdbbacadadcdaccdbabcbaabdcbdaacddabbdabbbacdbaabcaccd
+ccbddcbdccacddccdacbcaabacccadadbbcdccabacaabcdbcdcbccababaacacacdcbbbadbcbdccacabcacabcbbcddcccadcda
+bdbacbaaddcdcaabadcadbddbcbcbbbccaabddadcdcccdbbbadabadcacabccbcbdddaacbcdcbacddcccbddd
+cbaabddcaabdcbcaadbdbdddcabdcdacaddcbcdacbcdcadbcbbbcaadcadbadddadddcacddacddddcdcbccdcbdccacdb
+abaabcbacabbdbcbac
+bcddddbbddbddadbbadb
+cdbddaacdacaabdbddacbbbacdddbcabcccccadccdacdbccbaacbdabdabdabdabccabdccbdcbbcbcacccdccdbd
+abccdaccbcbdbcbccdacdcdabcdcadccdbbdbdddaabbdcabddcabacbbadaabcacacaccacabcccdcacdcbad
+dbdbcdaabaaacaadadcacdacccbaabddcadabbaabab
+cddabdabbaddadcbdabaddbac
+dabbaccbdaaacabdbbcddacdcbcbabbbdddbdddcbbcbcddcdaabdcabcdbacabcdbbddabccdbcddddbccbdbbbacddbadddcbcacdcacdcb
+bcdccaacccbdacdbddcdcdcbcddaababcbbabaddbbccbabdbbcadccdddadcabdaadaadccbdcccbababdcccadadc
+acadbaaccadbadbbbdbacbdaccdbccccaabbbdcb
+daccbacdcbabdccbabcdbdaaccbdddacadbbabdbcbccdabdaaadbacbaccadaadabbdabbabcccdabcdbbbdc
+dcdcadaaccccddcdddababcadbccbcbacdbdaacdaaaacdcbbbab
+daddbaadbbacbbcadcbdbddababcacbddabccdacccadbbbbbbddabacbdcabbccaccdacbaabcbdcdabbcbbabadcddbdbddcababa
+accbacacbacbbadcdcdcdacdcbcddcaccabcccbdaadbcdcdbdbdabababacad
+abdbddcaccbbbcdbdaacdbbacdcbbbbddcbcbacbbacdadddbbbbabdcdadcbccbbdcbbaacadbbbabcbbcbdaad
+bacabdabddddcaacdccddbabbacbdbaadbbdbcdadbcaabacbabbcddcdbaadbccbdadadbccbdcabadaabacbcdbcadd
+dbabcaccacbdcdcbddbcbcddddddccbbbccdadadcba
+cbacacababdddbbcbcdacbcaadababababccdaaadcdaaccacbbaaabcabbcabacbaacaaaadccabadcaaccb
+cadbddcdddbabcababbbbcacdbcdadacbbadaaaddadbabb
+aaabadbadbdbbccccbbdacbddbdbbcdaacad
+dadbbbabdbdbcacbdbbbabbadccbbdcacdcddbddbaacbaadcacaaaadcdbdbab
+ddcbabcdcbccbcdbddaaddcabdcaabcbdcdacdacabdbadbdbaacaab
+dadadccabdcdbbcdbdbaacbdaabcbadbccbbaabbaadbdcaabbbcbccadaadccddddcbbdbdddaaabbdccabddbdbdd
+dbabbcbcbbadaddbdcaabacbcaabdbbcdcacbdddddadddbaddabddbadcbccaccbdbcbaddbaacbaabcbddbdbcddcbccadbbcbad
+cbbcaabcacbbcadcdbacacdcaccdcdaacba
+bdccadabadcacddcacbccdacddaacdabac
+aaababddaccaabbabadbddabcbdbbdaabacdcbddabacccdabacaaadaddaabcbcbbaadccacdcccdcaaaddbddbbdbcbcccadadbdddbccdc
+dbbcaddcadcaddababadadaccdbbabbaaaccbadbbdbcddaccacacccacddcaaacdcacccdcc
+bdadadbadbbdbdbbdccdccbcacbadaddaccbcabcabbabaccbdabbcbbaccdbdbbbccbacbdacbbccabdbbaacbadbdadadccdab
+caacbbdaddcaddacbcacdbcddacbcbbabdcdaccaddccdbddcaaba
+dabbcbcbdcabbdddccdccdcabc
+ccacdbacbcacaabdbaaacbddbbadddbcabb
+dadabdbcaacaddbabcbbbadbbcacbbdcbcbdaddbbcadbbaaabbdcdbacddddacdcbbcbd
+dbccbddaadcdbbcbdcbaaccdcabadddbadcdddbcdcdcdbbacadbdbaaaaacddacb
+cacbabcabaacbbbbaccadbdaacddcddabbbcddcbddacdddaaddcaaacbabcdbcab
+abadabaaabbcadbbbdbbcdabbdacccbcdcbcaacbcddabacdcdbcdddbcaadcbdcdccbcdaddbabbbbbacab
+caaccbbabcbaddbcdcdadbcadadbbaabdbbcddbacdaccbacdccbcbbcabccddacadbdbbabdccccccccacadcacabdbaccccbab
+bcddbaabbdcadbcbcdddaaacaabddcacbcadbaadbaabdaabccaddbabcacccdbdacbcbaacaacbddbdbaadcdbcbaabddcdcbacdcbacdbdc
+acadcadbcabcdbaabbacdadcdccbbda
+bcbbccbaacaabdcacdadbbcbdaadaabcbc
+dbacbcddcabdcaccbabaddaacacdccbcbcdadabddcdccbcbadbcddabcbcaccccacbbccadbdbcdabbad
+cddadbacadabddbbbddcacadacdbbddaabbdabccadbccbbcabdbccdadcdcccbbdcdbdbabadccdcabdcbbbdddcdddaaaad
+cccbbadadbbdccddddaddddacda
+cdaaadcbccaaacddbbcbcaba
+ccadcdbcbbbcbacadcdccdcbddddcddbbdcbcdbcabccba
+cdddbadcaccddadabdcaaacadbdcccbdadbbdbcbbcbadaacbaddaabacbcabbbabddcbcaabbacbcdaacadabaddadabdbdcbc
+cccbbbcdbcbbdddd
+dbcacbdbdbabdcbdcabdcabbaaccdddbdabcdbbbbdcabadacccddcaaadaddbabdacaddcacbcabccbcbccbdbd
+babcdbbddaaaddaadcddbacddbbabccaadccaacdbaddddcab
+adaacacbbdbdcdbadadcabdacdddccadbbdbbd
+cadcabadacbdcbddcacabdacadabdcdbddcbbddccabdbdbabdcbabaadbdabccbabbccacaaaaadbcadababbcbacccbbcaccdbbddd
+cccabbddcbccbaaccadddbbddcbcccbdacddcbdbbddabcaadbaddbddadaaaccadc
+ddbbddddabddcddbacbbaadbccdbbbdcacdcddcdcdcbcbacbacaadcbaccaccabbcbbadbcbdbccabddddcbcbabbddbbbdcacacabddcdc
+baabcccdabcddcbabadbcbacccccdbbbacaccdabcbddac
+dabaadcbaccbdcdcbacdbbbdbdbaadadacadcbbcccbadabbbabcbadbddcadccadcbaabcbdbaaccaddacbadccccacbcdda
+cadcddacaabdccdadbadaabcdcbaaacccaadabaccbcbaccacaabbadddaadbdbdbdcbdbaa
+dcaddacdccdbdaaabdbadddcccddaadaabcdadaadcbbcbbcddcdacabdadbabbaacdaadbcdcbdcabdaaacacdbbdcc
+bbbcdbbcabbaabdbdaabaccdabaabdcbdbbdbaacdbbaadadcacaddcadaaccadbabccdbbcbbbbacdbcbacccaaddba
+bddcbabcbbb
+cacbcbbccdbdadaabbcabcbaabbdabbaddbdcdccabbacaabababcacdadbcdccacdbba
+cbdbacabcdba
+acaacdbcbbaabaddaaacbadbdaa
+bbcbabcdacdbcbccbacd
+bcacadabbabbabddccbdccddadcdacbaccccaacabcdcbbcbbccaadccbcaccdbaddccadacacdbcacdbb
+dacbcdcbbdcbdadadcdcaacbccdbabcbdbdaabcbccccdcbcadbbbbadcddaacddcbdaaabcccbcdbadbbcdbbcadaabcda
+cdbdbadabdadcd
+daacadbcacdabccadccdadbacaacbcdacbacbadcaddcdccacbabbcbdcdaacbbbcdabddcccd
+bdbdadbbdcaddcadcbdadbccdadbcbdacdacbdcacccabbacddddcdbdacbadbddaabaaaddaabdabdac
+ddccccabdccbcbddcbdbabcbbcadbccdcdcddadcbbcdbcbdaddccadbacbaaa
+cdabbaaadabdaaaacbadbcdbcabcddadabbaacababddbababbddbccbaaaaccbacccabaaddaddbdacbbabbcdcbcddbcadcbbada
+cbbaccaaccbbabbdbbdadbd
+bdbdaccbbcbccdcdbbabbbd
+baddcacccbaddbdddbcaabdddcdbbdbacbcdbcadaacdcaadbbbdadcbcdccdcdacabdbccbbbcdaacbadbbaacdcd
+baadcabaddcaabdacbbcccdccadcdadaaadabcbbbacbccbbcbadcabcabddbdbdad
+abaadcababdbddacdadaddcaaaacdddbcacabbcabbbccbcdcdadcbddacdbaccdcccddbbcdccbaddabccabdbbabcbabdaad
+dcdccbccdbcdcdcabcacacbabbaacaccccbccdaadbcbbcccddcdacccabcbdaabcaa
+cbabcdcadbbabbacdbddaaaddcadccddbadbaaaacbcbbadddbddbbabcdabdbdacdcbdbbaabadba
+aadbaacdcacdbbccddabbadbcbdddbc
+abcbddcabbdcbacdddcbcabcadbcddaadbdbbaaaacadddddcccbdcbdcccadabdcdabbcadccdcb
+adbcabadcbadcccbacbbcbcadaaddadaddcdccbccacdbacccdbaaddabaabdcda
+accbadaaccacbdabaaccaabadbaccabaddcdadad
+acaacabbccccc
+cddaacbdcddaddcbba
+cdaadaadbdbadbbbbacddaddcbccabadbbbcbbacbdacaccdcabadcddbcdbacbccbaacacbac
+adcdbbabdaadadcdadbbaccaabcbbbbcbcddbbdcbdcdaaaabdcdbbcbcbccad
+daccadcababa
+addaabddcadcbadccacccccbbadabdca
+cbcdccdadacadcddbcad
+adbcaaddabccbaddacaaacacdacbacdacacaacadcbbddcdccdadbdbaabdadbbdc
+dbadcacddabadaadabcadccdccdacadadacbbbbdcacacabddcddbbac
+adadbcdbbdbacdcdabccdddcacbbabcaacbcbbdddbcbba
+bdbcacccccccdbdbccccaabbcdbcbcbaaddadaddbccadccadbddcbadadbcacbadddcbbaaccacddacbaabbbaadcca
+baaccaadaca
+babbdbdbdcdaacabacdbaccaddbcccbcdbcaddbdbdcacddacbddddcdbbacccc
+bccdaaadacccbdabaaacdcbaddcbdccdcbdaadaacacccaaddbddacdabddbabbaabcabcdaaddaacdddabddcdbbdddcccadddaabda
+dcddacbadabaacdddcbdbadbbabcdcddcaddabdcdd
+dbabbbdcdbacaadaacdababdbbacbcacdcadcbaabdacabbcaadbcdadbccdbcbaaa
+adbbccabdcdcdbdbdabbdcdbbdbbacaadbbdbbcbbbdacddddddbadcbdbcdaabccddbddacbdaddbadcbadbabdbbb
+bdaaaaabdaaddaadcccadaaccbcacbbdbcabcdddbcdadacaacbcddccabda
+baadbaccbdaccccadabc
+cbdabdbcbacbccddbcdacca
+badcdadbcaaaddacbddcbdbbbaadcccdaaba
+cbddbbdddddcccbacdddddaabaaccdddbccaabbbacbcdccdaacbbbbdccddcdb
+aacdaacbcdbccdbadabcccbdcdbaadcdcaadbbcccdaccdabcaacdadb
+bcdcbcbccdbcbbbbbbdbbbaccdddcdbcdabdadbadc
+bacabbdcacaaddddabccadbdddcaaacadbbdcaccacbbbcabdaadccdabcbdaaaadbbacdabccadcacbabcabadbadcbd
+adabddbcdbcccdbcdaacdcaccdcdbabaabb
+baacbcdcbcdcbccadabadaacbdbcbbcabbdbabacddba
+dbdaccbddbbdaabbcdcbbdadcddacccdddccabacccdcbbcdddcdabbbccaadcbabdddaddbdcbcdcdcdabbdcacdbda
+dadcabcbdabbabcbdbaababdd
+acababbbdb
+abaaaddbabbbdbaadccaddcbdbbcacaabcddaadbdadacbbadacdadcdddaabbbaabdcbddbdcbacbcccacbdbbbdaddbdbccbdabadbccdcc
+aabbbddccdcccbbcabdbccabbdaaccdaddccaacddbadddccdddcbcbcbcbb
+dacabdcbcabcbbcbabdacabccddababadcccbbbdbcabacbbbbdbadcdbcaaba
+aaaaaaabaddcacaadbbbbbcaabaadcccabbdcaabdbbddccdacbbcdbdbdbdccabbcddaaccabccbda
+bbcccbdbaadaaddcdddadbdadaaaddbbdcdbaadacbbdbacddbbbccbbbcadcbaabbdbcacbccdbaadbdabbcdbadcdacccccbcaaacbc
+dcacbbaccdbacddbdbdadbcbcbdadbcdabdbdddcdbbccbcdaddbabddabaddbdbaabaadbdacbbccadadbadbdcdabcdbbcddcdccd
+bdadbbbabdccdcabababbcaaacadaabcabacdcddddcddacadbddacbcbbcdbabbcbbbbbbaaabbcacbadcbdaacaa
+ddcdadadcabdbdbabaababdbcbdbacdabddaadddcddcadcacca
+ccbcadcabcaacbcadbddaacababacdccdadccdcdbbbcbdbdddadb
+ccdcdabcaadabbdacbdaaddbbadbb
+ddaaddbaaccbcb
+dcaabdadcdcacacbadbdcbdddabdcabadaccaabbc
+daabdbcdbbdaabcdbbbb
+dbcddaccbbbaaaaccadbbdcdbbabcdbdacaaccabacdcdabcabbadbcdbbccacdccbdcabbddccbaccbcdcad
+addbbaabcbacabbbdcbdbacdadabccccaccaacadbbdcbbcadcdca
+ccaaacdbcdbbacdcccadcdbbabddaddbcabbcaadabbbaccbababcdcdadbacadadadccccacadabcccdaccbdccccaddada
+bcdbabacccdadaacddddaacaadccbbcbdcdbccddbccbcadaabbcdcaaacddabdbaddcaacbcdcdccbdadbadcbbbbbcccdabcbb
+cbacabbbadbaddbbddbbddbabdbbddcd
+ddbcdbadbcabcabccdabd
+cbdcdabbacbddcdabcaadcbddaabdbdabcaadaccdccaadbadbddbadcbdcadbdabadddcddcabbbdb
+bbbbccbbdbccbadcd
+bddcdacadcccacdbbadbddbbbddddcbcdcbbbaaadcc
+daadadbcabaabbaacdbbdab
+adddcbccbdabbccccbcacbddbbbcccd
+bcdadbbcbadabdcbccbccbcdbadbdbaacadadadddacbbacbdcdbadbdcdbdbddbbabbbbcaadd
+aabbbabbdcbcbdccabcaccccbaddcbccbabbbcdaccdbdbdccbbcda
+adaabcdcaaaadccdcbcaccdbdacdaadbddadccaadabacadcaddccdadcdccc
+dbbadbcaabadbbacadddbdddbddadabaacddabaacdacaaccbbbacabcbcbbcddcaabcacddcccbcbbaaddbdcab
+cdbadabdcddbbaadcdddbbbacdbacdcbacdbcbdcaacbcddacadbaabcbadabbddccbdbbdbdccadddbbcbdcdbcbdddddab
+dbbccabcbbcbaa
+adccbacdbaaddaacaadcbbccbcacaccbaadbdbddbaaadbdddaaacdabcaa
+abadabcacbaaadccbbccdccadcaadccbbccdddadccddaddaacdaddc
+abbddbddbdbdabbbccdbdcdcbdccddaadddcbabacbaaddddbadbacacdcaddacccadaaccabdccbcbcbdacacaadcccdaac
+dbcbcddbacabacbbdcbcdadaabbad
+cddccddcbccddbdbaaabbdccccbbdbddbbbadddbcbcacabc
+cdbacadbcdaccbdbadadcdcccbdddaabcbddabdcddacdacabdaacdbbdd
+cabbbabbdcaccba
+bcadaacdcaabadaaccaadcccdcabdcddabbcadcaaadccaacbbacddddacbdaccdccaaddababcdaddcbd
+cbdbbdcdbcdcbb
+abadcaaaabcdcbdcbcbbababbcccaddbdcccdbcbdddbddbbcaddbaacdcbbbbdbbddcdbddacbcbcdddbcddccdbcdcdbdaddccac
+acdcaabbacadccdbdaadbdcaddaccdaacdacdcbabdbbcadbacacabdabdcbcadddddcdabbdbbbadaccabccbdcbaab
+bcabdaaabdbddcbaabbbbabbdcccadcdbcbadbbbbbbaabcacadcadcbbdaaabbbddaacabd
+114 39
+abbabaaaaaaaabbaaaaabbab
+aaaaaabbababbaabbbbbabbbbbabbabbbbababbaab
+abaaabbbbbbabbabbaaabbbabaabababaabbabbbabababaaabababaaaaaabbbbaaabbaabbbbbaaaaaaaabaabb
+baaaabbaaaaaaababaababababbaabbaaabbababbbbaaaaababbbbbbbaab
+bbabbabaabbbababbaababbbbbaabaaaabbbbaabbabba
+aababababaaabbbababaabaaabaababbbabbabbababbbbaabbbabbaa
+aaaaaaaaabaaababbbbabaaaaabaabbbabbaaabaababbbbbbabbbaaabaababaaaaaaabbbaaaabbabb
+aaabbbbbaabbaabbabaabbaabaaaaaabababbbaa
+aabbbaabbabbaabbaa
+baaaabaabbaabbbbabbaaaabbbbabbbbbbbbbbbababaabaaaabbabbaaaabaabaaaabaaab
+abaabbabaabbbabaabbbabaaaabbaabbaabbabaababbababaaabbababbaabbbaaabbbaaaabbabbaabaabbbbbbabaaba
+bbabbbaabaababbaaaaaabaabbababbbbaaabaabaaababaabbabbaaaabbaabbabbaaaaaabbaabbabbabab
+bbaabbabbbabbbbbaabaaaaaaaabaaaabababaaaabbababbaaababbbaaaaabbbaabbabbbbbabbbaa
+bbaaaaababababbbaaabaabbaaaaabaabbabaabaaaabaabbbaaabbaabababbabaababababbabbbbbbaaaa
+aababaaaabaaaaababaaaabbbabbbababbbbbababbaaabaaabbaaababababbaabbaabaabbbbbbabaaa
+abaaaabbbbbbbaaabbbabbabaaabaaabaaaabbabaabbbaa
+bababbbabbabbabbabbbbbabb
+bbbbaabbbbbaabbabaabbbbababbbbbaaabba
+aaaaabaaabbbba
+bababbaaababbaabbbabbabaabaaabbbaaaabbabaabbbbbbabaaabaaaabbbaabbabbababaabaabbbbbabaaaabbaabaaabba
+bbbaabaabbabbbaababaabaaabbbababaababbaaaabaabbbbaabbabbabbaaaa
+aabbaabaabbaaaaaaaabbaaababaaaaabbbaaaaabbbbaaabaaabbbaabababababbbbb
+bbbababaabbabaabaaabbbabaaabbbaabbaabbbbbabbabaaabbbbabbaaabbbbbabbbbabaaaabba
+aaabaaabbbbabaaababba
+bbbbbbbbaabbbbaabbaababbaaabaab
+bbaabbaaaaaaababbbbbabbabbaaababaabbababbbaaabbababababbaababbbaabbbaabb
+bbaabaaaabbbaaaabbbbaaaaaababbabbababbaabaaabaaaabbabbabababbbaaaaaaabababbababa
+abbbaababb
+abbbbbababaabbbbabbaababaababbbabbbaababbabaabbbbbaabaabaaabbbbabaababbabaaaababbbbaaabaab
+aabbabbbabaaaabababababbabbbbbbabbbaabbaabaabbaababaa
+abaabbbbababbaabaababbabaaaaabbbbbbbaabababaababababbabbbbabbaaaabaaabaababbabaabb
+bbbababaabababbabbaabaaabbbbaaabaabbbbaabbaaaab
+bbbbaabbbaabababababaaaaabaaaaabbaaabbaaaabbaabaaabbaaababaabbbbbaabbbbbababbbaaa
+bbbbabbbabbbbbbaaaabbbbaaabaabbbbaaaaababbbaaaabababaabbbab
+aaabaaabbaababbba
+abaaabaaaaa
+aaaabbaababaabaabbaabaaaaabaabaabbbabbbaabbbaaababbbaaabbababbbbbaabbaaababbbbaabbbbaaaaababbaaabb
+aaaaaaaaaaaabaabb
+abbabbbbabbabaabbbbabaababaaaaaabaabbaaaabaaabababaabbabbaaabaaabbabababaaaaababbbababba
+babaabaaabaaabbabbbbbabbaabbabaaababbbaaabbaaabaabaaaaabababababbbbaaabbaaaba
+abababbbabbabaabbabbbabaabbaaaabbbaaabbaaabbaababbaabbbbababaab
+ababbaabbaaabaabaabababbbaabaabbaabaaaabbbabbbaabaaaaaabaaaabbababbbbaababbaabababbaabbaababaaabaaabbbbabb
+bbaaaaaaabaaaaaabbab
+bbabbbababbaababbbbaaabababbabbb
+babaabbaaabaaaabbbbbba
+aaaabbaaaaaabbbaabbaaabaabbabbbababaaabbbbbababaababbbbbbababbbababbbbbbaaabba
+aaabaaaabaabbabaabbbabbaaaaaaaabababbbbabaabbbaaaab
+aababbbbbabaabbaabaaabaababbbaabbaaa
+aaabbbaababbaabbaababaaabaaaabbbaabbaaababbaaabbaabaaabbaaaaa
+abbabbbbbbabbbbabbabbaaaaaaaabbabbbbabaaababbababbbbaabbbbbbaaabbbbbbbbabaaaaabbbbabbbbbaabaaaaa
+babababbbaabaaabbaaabbaaabbaabbabbb
+aababbababbbbaabbbabbaaaaababaaabbabaaababababbaabaaaabaaababbaaabaaabababaabbbbabbabbbbaaababaaba
+babaabbababbbababaaaaabaabbbbaabbaabbbabaabababbbabababbbaababbbbbaaaabbaa
+bbbaaaaaababbbaabbaabbbaabbbabbbbaabaabbaaaabbbaaababaabaabbbababab
+abababbbababbbbababaabbabaabaa
+abbabaaaababaabbababbaabbbbbbaaaaaababbbabbabbb
+baabaaabaabaaaaababaaabbabbbbabbbbaababaaabaababbbaabbbbbbabbbb
+aaaaabbbababaabbbaaaabababbaabbaabbaabaabaaaabbaababbbaba
+aababababbbaaababaababbbbbabbbbabaaabababaaabbabbaaabbabbbaabbbaabbbaabbba
+aabbababbaabaababbabaaabbababbaabbababbabbaaaaabaabbabbbbaabb
+aabbabbbaababbaabbbbb
+baababaaaaabbababbbabaaaaaaabbbaabbbabbabbabaabbaabababbaabbbbbaaaababaaa
+ababaaabaababbaaaababbbaababaaababbabbbbbbbabaabbbaabaaababbbbababbaaba
+aaaaaabbaabaaabaabaaababbaaaababaaaabb
+aaaaaaaaabbaaabbbaabbbbbbbabaabbabbabbbabbabbbbaaba
+bbbaaababbbbbabbabbaaabbaaaaaabbabbbaaaabbbaaababbbbbb
+abbaabaaabaabaabbabbbaabbabaabbbaaabbaa
+abaabbbbbbaabaaababbabbbababbaaabbbbaabaababaaaabbaabbbaabbaaaaabababbabbbabbbbbaaaaabbab
+bbaabbabbaaababaababbbbbaaaabaababbabab
+aaaaaabbbbaababbbbaabbbbaaaabaaabbbbaababbbbababaaaabababababbbaabbaaabbbabababbaba
+baaaababbbbabababaaabbbaaaabbbaabbbbbbaaababbaaaaaaabaaabbbbaaababbbbabb
+bbbabaaaaababbbbbaaabbaaaaaabbaaabbbbababbaab
+babaabbabababaabbbaabbabbbaaababbaaaaabbbabbbabaabbaabbabaaaabaabababbbaabbabbbaaabbbbbbaaabbbaaabbba
+bababbbabbabbabaababbbaababbaaabbaaabaaaaaaabbabbbaaababbaaabbbaaabbbbbbaaaabaaaabbbbbbbbbbabbbbbb
+bababbaabababbbabbabbabaab
+aaaaaabbbbaabbaaaabbbbab
+aabbabaabaaabaabababbbaabbaaabaaaaabbaaababaabaaabbaaaaaabbbabbbaaabbbbbbbbbbbb
+abaabbaabbbbbabbabababaabaaaaababbababb
+ababaaaababababbbaaabbbaababaaaaaaaaabaaabbaabbbbbbabababbabaababababbbbaababbaababbaabbbaaaaaabababbaaababb
+bbbbbbbbabbaabbbbaaaaaaaababaabbbbaabbbabababbbbbaaaaabaabbbabbabababbab
+bbabbbbaabbbabababbbaaababbbaababbbabbabbaaaabbbaabbbaba
+babbbaaabbbababababbbaabbbabababababbbbaabbbbbabbbbbaabbbbabbaaaaabaaaaaaaaabaababa
+aaaaaabaabaaabaaaaabbaabbaabaabbbaabaababbbabaaababaab
+baaabaababaabbaab
+aababaaaaabbabbabaaababbaaabbbbabaabababababbbbabbababbaaabbaaabaabba
+baabbbababbbbbbabababbabbbbbbbbbba
+abaaaaaaabbbabbbababbbbbbbbaabbbbbbaabbaabaab
+baabbbaabaabbbbbaababbbbaaaabbabbbbbaaabbbaabbaaab
+aaaaabaaaababbbaabbbbbabbabbbaaaabababbbbbbbaaaaaaabaaabbbbbbabaababaabbbbbbbbaaaaababaaabaaabababababab
+abaabbabaabbabaabbbaabbaabbabababbabbaabbabbaba
+bbaabaaaaabbbabbabbabbbaaaaaabbbbaabbbaabbbababababbaaaababababbbbabbab
+bbabbbaababbbbaaaababbbabbbabbbaaabbaaabbaaaaabbabaababaabbababaababaabbabb
+abaaaabaaaabbbbbbaabaaabaaabbbaababbbbbbaabbabbbaabababaabbbabb
+bbabbaabbaaaabbaababbababaabbababababbabbaabbaabababaaabbaaabbbbbbbbbbbaababaaabbaaabbabaaaba
+aabbbabbbaaaababbaabbbbbbabbbaabaabaabbbabab
+abaabbabbba
+babbbbabbbabbabaababaaababbaabbabaaa
+abaabababbbaabaabbbbbbaabbaaaaababbbbaabaaabababbbbaaaababbabba
+baabaaabbababbabbbabaaaaaaabbabbabbabababbbbabbbbabaababbabaaaabbabaabaaabb
+abbbbaabbaaaabaabbbbaab
+baabbbbaabbabbbabbabaaabbabbabbbbbbab
+abbaabaaaabaabaaaabbaabaaababbbabbbaabaaabaaaabababbbbbabbbabaabababbbbabbbabaaaaaabbbbbbbbaaababbbab
+abbbbababbbabbababbbbabbbabbbabaaabaaaaaabbbabaabbbbbabbaabbabbbbbaababbabaaaababaababbabbbbaabaababbabbaa
+bbabababaaaabbbbbaabbbaaaababbbabaabbaababaaaabbbbbaabbabaaabaaaabaaabbbaabaaaaaaaababbbaabababbbaababaa
+abaaabbaabaaabb
+bbaaaabaabbaabbabbbbaaabbabaaaaaaaabaaabbababbaaa
+bbbbbbaaaabaaabaaabababbbabaaabbaabbbabbbaaabaabaabaababaaaabbbbaaababaabaabbbaabababbbababbaaaaaaaabaa
+bbababbabaabaababaabbabbbbbbbbaaabaaaaabbabbb
+aabbbbaaaabbaaba
+bbbaaabbababaaaaababbaaaaaabbbbaabbbbaabbbabababaabaabbabbbaaaababaaaaababbbabaaabbbabaaaabbaaaabaab
+babaabbbbbbaababaaabbbabaaabbaabbaaaaabaabbbbaaabbbbbabbaaabbbbbabbb
+abbabababaaaaabbaaaabaaaaabbabbbababbbbababbbbabbbabbaaabaabaaabababbaabbaabbaab
+baaabaaaaabaaaaababbbaabababbbbaaabaabaaabbbaaaabaabbbaaabaababbbaaabbbbbbbbaabb
+aaabbbbaabbabaaabbaabbbbbaabaaabbabbbaaaaba
+273 154
+ccbccaacbacbcbacbcacabcaaa
+babccccbabbaccacacbcbcabbbbbbccccbbcccb
+accccbbcaacababacbccbcbaaabbbcabccabcbbaacabacaccbcaabccbcacbcabccbbcabbbbaacbacca
+aaaaccbccbabbcccccaccccaccacabcababacaaabababababcbcbacccbcbaacabbbaccbccccbabbcaccaacaca
+acaaccbcabccacbbacbaccbacbacabccaaababbcbccccaacaacbcccccabccababcaababbb
+ccbbabbacabbbbb
+acacbcbbacaaccbabbbcccccbacbccaacaaabbaabbbbcacac
+baccbabaaacaaababbcabbbbbababcacbccabaaabbbbcccaabcbccbcbccbacbbbabcabbbbcbbbaacaaccbcaaccbbccbabaaaaaaccaccc
+aacbcbccbaabbaaccaa
+abbbcbcababbbaccbabbcbccabaccabaaabacbbabcbbcbaacaacabcccbbbcaabaabbbcaaabacacbbbbcaabcccbccbbbccbbbcbbcc
+cbacbabaacbbbbbcbacaac
+bcbaacbccbacaabccaabccaaabccabaaccacccacccbbcccbb
+accccaaccbbabcabacabcccbaccbbcbaacbcaccacaacccccabcbabbacabcabbcabbcacbbbcbcbabcbbccbcbbbbabbaaaabcbccb
+bbbabaccabacbacaabcacbcbbabbbbabbaccaacbcbbaaabacbaaaacabbabcaaabcbabaccabbaccc
+bacaaaacbbccacbcbacaacbacabccbcabaacabccccbaacabaabbcbcccbabcbb
+bbaaabbabbcbcabaccbbccbcabcaacbcbccabbaabbabcbccabbbbccaaccbccaccaabaabaaabacaaa
+aaababcacbbbbbcacbabbacbbbbacc
+ccabaababcabcbcacabacbccccbaaabbaaaabacabaabcababacabccccbcac
+bacabbcaababacccbbababbbcccbcbbabcccabcbabcabbbcbbcbabcabacbaaaaacbabababbaab
+aabbbaabbbaa
+bbbbabbccababababcbbaabccabccbaccababaccccacaabbaaaaccaabbcbaacabaacbabccbaaccaaa
+acbabbbbbbbcaacc
+babaccabccacacbccbbabacabbccacacccbaacabccacaaaabcbcacababaaccbbbbcbbcbcaacaacbb
+cacbaabcbbabccabcaababcbbabcabcbbaabaaaacbcabaccbabbcbaaccabaacbaacaccbcaabcacaccbcaabcaabbac
+bbcabbaabcbcacccbbaaabacbacabcbaacabacbcbcbbccbcbaaabcaaaabaccbbbbbcccababbcaaabcbbacaabaaabaccacabacacccba
+caababacccabcababaaccbabbcbaa
+babcbacccaabaaacaacaacccccbcabcccacaccca
+caccccbccabcaa
+bbbabbbbabccabbabbabbcbcbbacbcaacbacaaacbbacbbabbcbcbcabbcccaaccbbcaaaaacbbcbcccbccaacacacbbcbacaaccaaaaaa
+cbcccbccbcbbbaacccabbabaabcbbbbc
+babacaabcbbaabcabcbabaacacbaaaccba
+abacbcbabaabccacbbcaaccccacacabbccacaabcbaccbbacbacacabbabbccbbcabaaabcbabacbcbabcccaabc
+ccaaabacbbbccaacbcacacaacbbaccacbcacabcccacaabaaaccbbccaaabbbab
+bbaaabbbabcbaabbbaccbccaababccbacccbbaaaccbcbbbccccaaaaaaabaabcbbcbaccbcabbbbcb
+acacbbaabcbbcccbbcbacac
+cbabbcbaacabacbbaccbabbacbcbbbccbabacbbcaababccacabbcbaccacbccbba
+aaacabbbcbaaacabaabcbbccabccbaaccaaccbbbcabbaabbaccbbacbccacbabcccabacacaacbcabbaabbbaacccbbbcbacacabcabcbaa
+accbabbbabbacbccbcaacaacacacbbbccbbcabacbbbcacaaabbbbaba
+ccbbbababaacbaaaacbccbaacbaabacbbabaaaacacbaaaaabcaacacbbbaacacaccbcbacabbaacbc
+babbacbaaabcbcbabbbaaaccabbcbbcbaabcbababccbcaaaaacabbcabbcbabaacccaaacaacccccbccbabccacabbaababccb
+baccbabbcbccbcbaabbbcbbabaababbbaacbbcababbcabbbaabacbbcbcacbbacacbbabcbabbbcccbaaccaacbcbbbbcccbbcaccbca
+cbbcbcccaaacabacabcacc
+cacbabacabaabbacacbaabcacacaabaaccacbbabcbababcabababccbacbabcacbbabaabcbc
+aababacabaaaaabaaabacbcbaaaacbccbbbacbbaabccabaacacbbcbbbccabacaacbcccbbccbaaccccaaccbaa
+cccabcbbcbbbbabaaabbaacabbcaacccbcbacbabcccccaaacbcaabcccacaccbacccbbabccbcbbaccabccbbb
+cccbccbacbbbaa
+acacaacaaacaacbbacbcaccaccbcbcccabbaccca
+bccabbbccaaccccbacabacacacabaacbbbbbbccbacccbccccaaaacbbbbcacbacabcabcbccccbbabcabbabcccaaa
+baccababaccaaaaccbcbcaccaa
+cbcbcbbaccbccbcbcbabaaacacaaacacccbccccbbcbbbbbbbbaaccaacacabcbbccabcaacbbaabcabaabcca
+acabbaabcbbaabacbcaabbaaaabcbccacaabbabbabacabccbcacbbccacbac
+bcccbbcccbaaca
+cbabbaaaccbabcbbbbbccabccaaaaaabbcabbccaaababccacaabcacaaa
+aaabccccbccaaccabbbbcbbaaab
+aabcbbcbababcabcbbbc
+bbcabcaacccbaaababccaaacbcbbbbbcabcaaacacbabccbcbcabcacabaacacbcccabbbcbccbbbcbbbbaccac
+acbccabcbcabacabaccaccacabcabcccbababbcaabaacbacbaabaabbaaaabccabaabaacbcccbacbbcbbcaaaaabaccabcaaaccabb
+bbaabbabaabcbbacbabcaabaabbccaccaccaacaababbaabacacaacbcaabcbac
+baacbacaabbbcabaabbbcccccccabbccbbccaaacbcacacccbacccbaaaabbaabbaacaaaaccaabaccaabbcbbbabbccc
+bcbabaaaacbabbbaaccccabaacbbbabcbabacbaabcbcabbbcaaacabacbbbacacaaa
+bcbccabbbbacabaa
+accbcbccacbbaccbaccaabcacabcbaccbaccaabaaaabbabccbcaacabac
+bcccaacaabacbcbbcbbcabccacaabbbabbabbcaaaabbaccbcabccacbbacaababbccbaccbaabca
+bbcccbbaaabbabcbbbbbbaabcccccacbb
+cccbcbbbbccacbabcaaaaaacbbaccbaaacccaabbbaabcacccbacacaaabcaabbbacacbbcccaacbacbabccacbaaa
+cabcbcabcabcbabbbbcccabbbcccbbcaabbcabbabb
+bcbaaabcbaaabcbccaacb
+abbbbcbccaaacbcccbccac
+cbcbcbcabaacababaaabbcbacacabcbbababacbacccaaccbcc
+bbaaabcccbbbbbcacbbbaaacbbabcbabaccabcbccbabccabbcaacbccbccacaabcaaaabacabbcaaab
+cbacbaababbcacccbcaababcababcaaaacabcabaccababbcbac
+ccbbbacccbbcccaacbcabacccbccacbaabaccbaccbbcbbabbccabbcaabbabcabbabacabcbcaccaabc
+bbabacbbacaaacbbcbaabaccacaccaaaaccb
+ccaacbbcbacccbbcacbacbabcaabbbbcbcccbcbbacabaacbbacccabacbcbaaaa
+caacacbacccbbaacbacccaaaccaabbaacabbacaa
+cccbacbcccacababacacbabbcccaacbaccacaaccbabaacbbbabcbbbbcbbb
+bbbcbbcaaccccacaccbbcaaccbbccaa
+bccccbabcabbbabcacbaabbccbacbbaaaacaccbcbbbbabccccabbaaccbabbaabcbccab
+cbaacacccaacbcbbbbbabbbcccacaccaccaaabcca
+babbcbbbbccbbabbbcbbcabbcbccaaaacaccbbcbbcaacacacaccbaaacbbaaccbcbcbaabaccbbacbaabaaaabacbcbc
+cbcbcbccaaa
+abaccabaccccbaabbbabbacaaccbabcbbaabcaacaccbaabcbbccbaaababaaababbabaaaabaaaabbbbbbcbbbcbbcbabbbccacbcc
+cccbbccabbaabaccaaccabbaacabbcaaccbaaacbabcaaaabcabbaabcaaacbbbaabbbcaabcababbbccbbabcccacc
+aabccaaaabccab
+ccbaabbacabaccabaabbcbaabaccbacaccbbb
+cabcbbcbabcccbaaccaaccabacacbbbbcacbbbcababaccbabccaabbcaabccccbbcbbacbbaccbabababbcaccabcaaaccbccaaaabcb
+babbabccccbacaacc
+cabbcccbbcacccbcbcbcbcacccbaccaabaaabccbacbcbbccbbaccccbbabbabcccabbbbacaaabbbaccccbcbaacccccaaaaa
+abbbabbbcccbcabbbbbcbccacaccabacbbcaaccabbbabbababccbbabbbccbbcaccccabaababcaccaccbbbacbabbbacbcaacacabcccb
+abaabababacaacccaabccbbabcaaacbcacbabbaaccacabbaabcabacac
+aabbbbcacacabbbacbbbaaabcbbab
+caaabbbbcaacbacbbb
+caabaccaababacaccaabcbacbaabaacabbbbaaabaccbaaa
+cbbabbbcbbcabbccbacabab
+acacaacccbcbcccacaa
+cbcbbcbbbacaaaccbacbaba
+aaaccbcbbccbbcbacbccaacbbaacaaaabbabcbabbccccccbbbc
+abbbaaaaaaacbbaabcbacbaccbbccaaacabbababcaabbccaccbacbababbaccbbbbaccabcbbbacbcacbccaaa
+cbbcbabbcabaabcbababbacbababacccbbacabc
+ccccabcacaacbabcccbbacbabbbabccabbcbbbbccaaacbbaacbaccacabbbbaacbcbbcacbcbaacaacabcbabcbbacbbcabbabbc
+bccbbbbbabaaaccaabcbbccccaccbcaacbacbbabccbabbaaacabccababaacacbabcbcaabababcabcbcbabaacababba
+aabbcaacbbcabcbcbbcabcababcccccbcaacbccabbcccaacbcbbcbbcbabcabcabcababcccaaaccbabaca
+ccbaaaaabababaccbbaacabcbaabacbbaabbccbbaabbbabbbaacaacabaccbcaacaccacacabccacabacbaaabcabbaacb
+abccababaaaabbabbabbcabacbbbaacbacaccbcacabcbbbbcabbbaaccabcbaaababbcababbbbacccccbabcacacacbcbaa
+cbbcbcbcaacbcbcacbccabbcab
+aabaaaabacbcacbbca
+ccbcabbccbcccbccbacacaccaababbbabcbaaccacaaccbbcacaccabbcabaccabcbaaba
+cbabcabccacccbbccccbcbbbabcbaaabbaabcbbccaaabbabbbabaaabbaab
+bbbaaaccbcabaabcaccabaabbbcabcbcbcbabccbccccbbbbccacbbaacbcacaaccacaaacacaccccacaccbccbbccabcaccbaacabbccbac
+cacaccbbbbcaacbabbcbcabbabcbbacbacbbccabbbcabbcbbaaaabcbacbbbbcacacabbbcbcaba
+cabbcbcccbbcbcbaaaabaccabbacbcaaccbbaabbccabcccbabcccccbaabcaaabaacbabbbaacbaaaacbbccbb
+aabacbacbaabcacbcabbbcbcccabccbaaacabaccacccbcccbbcaccc
+aabbaacbacbccabcacabbbccbcbbabccbaaaccbcbaacbcbaabbcbbcaaabbbbbcbc
+bbcacacbabbacbcbbabcccbbcccccaaccaaccabbbcbaccbabaacbcbbcacaabc
+aaccacabcccbbabaaccaccaaacaac
+cacbcaaccbabbbcacabcba
+abbbcbabaaacccaababbacbbacbcabcaccacbaaccccccac
+babbccbbaabacbcccaccaccbbbabbbcbc
+bbaabbaabacaacacbbabcbbcaabcbcaababcaacbabcbcacbcabccaaacaccacbcccca
+bcccbcabaabccababacaacabbcbbcacabbcacaaaaabacbcaacbbacccabaaaccacbabcbbaabcaacabccaccbbbaaaaaacaaabcac
+abcbbabbabcbaccbababaaaccccbbbbcbcaababccaacaaacacbcacccccabacaccbccbabc
+abbbacccbccbcacbbbcbccabcbaaaabbbabbbcacccccbccbaccacaacccbcbccccbbaacbccbab
+baaacaccccaacacccacbcababcaabacacaabacccacabcbbcababbaaacccbacbcacabaccbbbbcccccbabbbaacaabbbbba
+accaaccbabbcbbbcbabbccababb
+cbcbcababbccbbcabccbcbaabbaaaabacccbcaacccbaac
+cbcccaacbbbcacbacbbabababbacbbbc
+ccaccbcaccbbabbbbbbbcbabcbccbccababbaac
+acaccbccacbaabbababbbcbaaccccacabbaabbacacabaabcbabaaacbabbaaabaacbbccbcaabc
+abbbabbbabbaaaaccacacbbabcaa
+bacbacacbabaaccacccabccbccccbbaaabcabbbbaaaaacccbaacbacaaacbaaabcacaacbabcbccbabccbbabaabccbacab
+abccbabccbaccacacbaccbbbcabbbacaaccaaaccaaccbccacbacacaaababacaaacaaabbbbbaacbaababbcaa
+accaacbcbacbabbbcaabbbacccccbbaacbcbabab
+bbbaaccaccaacaccacccbcbcccaccbaabccacacbcbaaccbbbbccaaaccaccacbcbbbbabbbccbabcccaabbbcbcbbbba
+aaccaccabaabccacabaacabacbcbcacbabbcbcaabbcaaaaaccbaaccaababbaaaaaabaacbcacaacbcacccbaa
+bbabaabcacabcbcbbbbbaccbccbaacabbcaaabcbccabbbbcaabcc
+bcabccababcaacbcabacbcaccbcaacbbbabcaaccabaacccbcbaacbbccbbbcbbcc
+aaabcaaababacbbbaaaaaabbacbaaaccacac
+bacbcbccccbbbabacacbbaacabbbbbbcbababcbbacbacabbacabbabaabbcbaccaccacabbbbbc
+aaacccccccaaacbacbbcbacbccababbaccacabcacb
+cbcaaccaccacabbbaccccacacababaaaacbccaabcabaacaaacbabcababcabccbcbbcbcaabacbcbb
+cbabcbaabbbcaabaabccbcbaabaabcbaacabaabbcbcacbbaacaacbccccbaaabcbbacaaaacabaaaaabcaababbaaabc
+bbcbcbbbabbaababacbaccacaccbbaacabaacbaca
+cbbbcbbaaaaacbaababcacbaabcabcbacaacccacaacacbccaabbccaacbaccbaacbbabaacabbcbbbcaaaaaabaaccbcac
+cccacbcaccccabbbbaccbbccbbbcab
+cabaccacbcbbbacbbbccccbcaaaaaaacaaccabccacabcaa
+baabbbcbcbaaababbbc
+bcbcacbabaccbaaaaabbcccacccccaccbacbcbab
+ccccacccbccbabbbcbaacbacaababacbbcccccbbccabaab
+cabaccbacbcacbcabbbccbabcacbbabbaaacbaccabbccbbacbcaccbbcabccbcabaaccacaabacaaaacbccacbbaabaaccbacababababbba
+bcaacbbcaacacaac
+abcbaabcabcacacaaacbaaaaabcbbaaacccbccbacbbbccaaccabbccbccaaabbacacccacaaabaabccababaaabaca
+accccbabaccbaaaaab
+baabbbaaacccbbaaaccbcccbcc
+aacbbacbbabaaaacaabccabbccabcbbcababbccbbcaccbbbacacbacbcacababccabcbabab
+aaaacacbabacaccbbbcbbbabcccbaccbbcaccaacacbabacaababbccbaaabaaacacbbbbbacccbbcaccabaabbccaacba
+babcbcabcccbbbbaabaaaacbacccaaaaababacbbacbaabbc
+ccccccbbbaaaaaccaaaaccacabccabbacbbbaccbcabbcaaacbbcabbbbbccbbcbaaacbccc
+bcbaaabccbcbaaaacbaababcabbaaabbabcabaacbcaccbb
+abcccabbbabaabbaabaaaababaacbbcbbabcbcaaacbcbcbacbccccacaabaaabcbbbccca
+accccccabcbacbcbbcaccabbbcaacabcbacabacbccca
+caacacacababcabbcabcbbabbb
+acbbcccbcaabbaabcbbcacbbcbcbbbbccaabaacccaaaaacbaac
+ccbcacabcaccccccabccacacacbcbcbcbabbcacccaacabacabbaccbaaaccaaabcbbbc
+cbcacbabbbabccabac
+accbbaaacaabaaacbbaaaccbcbbaacbbbbcbacacbbabcbbbbbcbbbbaacbaaaaaccbbbcabcacbbcabacaaabccc
+bbbcaaccabbbcbaccbbacabbbbabccacbbabacaabbab
+ccabbaacccaacaacccbbbcbccbabbbbbccaba
+acabbacaccabacbabcccacabbcaacacbcbaaacbbbbbaaaabccaaaabccacbcaccaabba
+bcabbaccccbcbcbaccabcacbabbcbbcaaccbacccbcaabacacacaaccabacacbcaabbccbcacabbbcacb
+cabccbcaabcacaccbabcccaaacbacbbabaabcbbaabbccaacababbcccbbbcbcab
+aaaaccccaaabbacaacacbaaaab
+aacbabcbcabaaaacbbbccbbabacccccacbcaaaaccacbabbcaaccbacbbbcccaaaabaccbbcbccbbcccbacacccacccb
+bcbaaabccbcbbaacbcbabbabbabbbbbcbcaabcabaacccabacccccababcbcccabccacabcca
+ccaccbcccacccccaacbcbaabbbabacaccbacbcabcbcacaaa
+babbcbcbaacaccbacccaaabb
+baabaabaabbbccbcacccbccaccaabcbccacbbbcabaccaacbbcaaacbccccaacaabcbcbbcbbcaababacccbabab
+aababbcababbaaabccabbaacaabcaccbbcccccbccabaacabcaacacccacaaccabccabababbccbbcaaacbbacba
+bbbcabaaacabcbcccabc
+cbbbabcaacbbbbcbbbccbccbbaacbbaccabbaacaabccaacbccaaacbcbacabcacbcaaaaaacbabaccaaaabcbacccb
+bcaacabaacbcacbbcbaabbbbcccccccbaacababcacbacaccbaaaaccbbababababcabcbacacbbacabbcccbccbcaabcbcabaabcaa
+cbcbcaabaccaabcbcacaacabbabcacbcaccaabbbaccaabcbbcc
+cccccabcbbaaabbaacbcbaabbbbbbacbb
+bcbcaaacacbcccacaaabbbcacacbaaccbcacbacaccbcbaaaccaabcabcacabcbbcbabbcbabcccb
+ccccacaabbacabbaabbbccacacaaacccbaccbcaccacbababacbcbacacccbacaababcbcabcbcabcabacabaccaabbcbbcab
+aabbaabacbccbcaaaacaccabbbbbbcabacbbacbacaccccaabbaabbcbbabaaabaacacbbbccbbacabaccbbcabbabcabcbbcacca
+cbcbbbacbacabaabbccacbbbbb
+aacbcccbbaccbbcaaaaacab
+cbcccaabcbabbcbbbbbcaacbbabbabccaabcaaacaaabc
+aacabbbabacbccccaccbbcccaccbcbccaacbccbaacbbcccccbbcabbccaba
+abbbbccbabccccabccbbccaababbabaabbabbbaaabaccacaccababaabbcbbacbcba
+bccccccaaababbbcbabcacbcaababbccabccabaacbabbaabaaccbbcccccaaacbccabab
+cacbbbccaabbbccbbbabcaabbcacbabbbcbcbcbabbcbaabbccaabbccbacbcbb
+bcccbacbbbbcacababccabacabcbcbbbcabbbbbcaaccbbccbbcabbabbacccccaccaabbabbaababbbcaaabbbccabbcacbbaca
+cbabaacacccccbaabaccabbcacbbabbbbbbababbbcaaacababbaabccbcbcbabcbcbbacaccbccabcccacbbbaaca
+cccbbacbcbba
+bbacccbcaabaabcbcaacacaacccbbcc
+aaacaabbbacbabbcaccbbacabcb
+acacacccbbbbbbbbbbbbbacaaaccbacabcaacbccacccaaccababcacaaabcbaacabcbccaccaaaabcccbbbaabbbaaac
+ccabaaacabbcbaaaacbacccaccacabaaaabcbbacbabcbcbaaabbcaaaaacabbbbababcbcbababaaccbbacaacbbcccababbbbcbababa
+cacabcccabbaabcacccaacbbcccababacbcbcaccabbccabbbaccccbaacbbbccbaacbbcbcacabcabbabacacaaaaababbcb
+cbbbccacbbbbbacbabacaabbbabccaaabcacbaaacaaacaaaacbabbba
+bcccccbaacacacabbcbbbba
+aacbcbaabbcbaacbcabbacaccccaccaaaccbbbabcaca
+aabaabccabaacbbcaacbacbcaaccabaacccbbcbcccbcbaabaccccacbbcacbaaacbcacccabbaabbaaaa
+bacaacccabcbcbbcaabbbacabaabbacaaaabbaaaaabacaccbcbbbaacacbba
+baabaacaabbacabccacaacbbaaacacccbacaabbcaacbbbaaabbaaaccbbbbbbccbabcaababbbbcabaabbacbc
+acaabcacaaccbccaacccbbaccaaacabcacbccccaabcccbcbaabcbabbaacaaccabaaacabacabaac
+bacabbbccbbaaaabccbbaaabaacbaacbacbaabcacacccaccac
+cabbaabaccabacaaaaaccbaabcccbabbbabbcb
+aaaaccbabbabcacaabcacbbaaba
+accbabcccbacccbacbbabaccccbbccacbba
+caabbbcaabababbcccbbabbbbacccacbbcccacbbbbbccbbbcccbababbbaabaaacbcbbbbbcabacbacaabaaaaabbcabababbcc
+bcaaccaaacaccbacaaacacbb
+bcbcbcbcacaabaacacbbcaccabbaccbca
+caacbcabacbcabaccbaabacccbbbaaccccaabbcabcaaacbabaccaaaacaaaccbbbcabbccbccbbbacaacbccbcab
+cabcaccacbccaabbcbaaaaaaccbbccaaacbccaacaaccaabaccccaaaabcbcaabaaac
+aacacbacccaaccacbccabbccbabbacbbbcacaaacacabbbbabacacabcbaabacbaaaacaabacbb
+accbbabcccabacbcbaaccbaccbacbaaaacacabababcbcbcbababbccbbbcbbcccccccabacccaaacabaccaaccabccccc
+babbccaabcbababbcccabbbcccbcacbcaccbbcbcacbbaacccacabacbaaababbbcb
+aaccabacbabbbcbacaabcbcababacbabbaabacbcccccbaccabbabbccbbccbbbbbbbbbbbabccabca
+bcccbbabccaabacabcaabacabbaa
+cccccbbccababcbbcaaabcbbbbcabcbccbbaabbccaabccbabbab
+accbbacaccbbaccbcbbccbcbaaaaaaabaababbcacababababbbacbabbccabcaccbc
+abcaaabacbcbcabaacaacccaaacbcccaacaacbbbaaabcacabbcbaabbacc
+cabcbccacbaccaacbccbaccccaaccababbbacccabcbcccaaabcabbbbbaaaabbb
+bbcaaababbbcbaaacbaaabbaacabaabcbbbaccababcacbabbabcbbbcabcacbacaabacbcaabacabccbaaababb
+abccaaacbbbcacbcbbacaccccaccbabcabcaacabbccbccbaaabbbccacabbcabbabaacbcbacbacaacbbacbabcabcbacabbcbcaaaca
+acaababcbbaacbacabacbaaabbcccbcbcbbccaccacbacbaccbcacbabaccbaabcbcabbcbcbacaaaccccccbcbcabaaacabcbabbbb
+cccacbbaacbbabbbabb
+bbabbbcaabcaacaabcbaaabcabcbacacbabaaacbbbabbcaaacbababaacabbbcaccbaaabbabcaa
+bcbcbbccbabcaaccbacbbcbbabccabbbbacbccabaccbcaaaabaabbacbbacabcbaaccbaabccbbbabccabcabccaabbacaabbccbbc
+ccacabbbaabcbbccbccbcbcbbabacabccbacbaaabcabcbbaaaaacbbaaaaaacbcbbabb
+baacbcbcbaabb
+bcaaccbcbacacbcbbcabcaacbbcbcccbcbccccacbbcbbbbababcbbcacbacacbbabcca
+ccbbcbaccacbbcaabccaaaabac
+bcacbaccbcababbbcaabcbbaacbcabbbaccbabccabacaabaaccbaaabccbbabababcbbbcacacbcbc
+bacacabababcabbcabaaaaaabaabcabca
+babbbbabbcbcbccababacbbaabababbcbaacbbbbacbcaccbabcccabababbaacacbabbccbbbbaabcbcababbcaccabbbabcccbbcbcba
+caacaccaaaaaabbbacbbcbaccbabbaabcccbcbccaaabaabaaacaccbacbabaaacbaaccaabbbccacaccacbccabaccaacabaabaaaac
+cbacabaacccbaacabbcabbbcabcacbbbbcccacacbbabbbabbccccbbcbaabacabcbaaaaaccca
+cbcbbcccabcacababcbaabacbcacabccaabcabbbbaa
+acbabaccbcbaabbcbbcbcbbbbbbaabcccbbccbacaaaaaababbabacbbbacaababcacbabcccccbcaaccaaabcbacbaacccccbabaccb
+acaaabccbccbcbabcbaaaccbcacbbaabcaabbcbabbbbacccbccbcaacaaaccbababccabbbc
+bacccacbbcacabaabacbacbabcbbccbbcbcbaccccbabcccaabaaabaaccbcbcaaccacabbbcbbbcaacc
+bccbbcacccccccbabbcbbbcbcabcaaa
+caabbcbbccabbbccaccaaaacacaaacbbcabcabcccbcabbbcccab
+accaababcabacaaacaaaacbcccbacbabbabbacabcccca
+accbacbbbaaabcccb
+bacacaaabbccabccacbaaabcaaccbaabcbbaababaccbaabbbabacccaacccccbbccbcacacccabababcaaaaccababcaacbbbaaabbcc
+bcacaacabacaaabcbccbbacbaaabcbaabcaaccaccaababacbc
+acabccaaabcaaabcbacaaabbcbcacb
+cbbaccbaacaabccccbbabbcacacabcacbbba
+ccbcacacbccaccbacccaabbcbbcaabccabbacaabcbcaaabacbbccc
+cacbaacaaabcabbbbbaacbbbcabbbcccaabaccbabacacbcbcacbccacacacabcbccacabacbcbaacabbccaaacccaccabbbbbccbb
+acccababaaaccaabaaccbcbccacbbbbbbcaabbcccbbbaaacbcababbaaccbacbbcbacbacbccabcbbababcabbbacbcacbbababaaabbbbab
+cccaabcbbbcabaaacbbccbbacbbcabaaaccbcbacacabbaaaacbbcbbaccaabcbaaaaabb
+ccbacacbacaaaabcabbbbaaaaccbacbaacabcaccccbaabbaccaabbabcbaaacacaabbcbaacbacbbbcbbbcac
+bcbcaaabcbabccbcbbbbcbaabbcaccaaacacababacbbbacccccccaccabaaccccbabcacaacccaaabaaccbabbcccabcbbcabcbacabba
+acbbbbaccbcccaacbcacbccbccbbbbbcccbbbbbcbbbcabcbbaa
+ababccbcabaccbbaaccaacaccacccccaacaaaabccbcbcbaaabbccbbcbaccbbcccbcccabaacabbcbacabbbbacbabaabacbbbc
+caacabcabaccbcbbcbaabcaaccbaccbcabacbacbcbcbbccbccccbaccacbaaacbaaccbbbbccabacbabcbaabccaaac
+aabacaabbcbcacbabacbbcbbbbccabbaaacbcaa
+bbcbbbcbcaaaaaaacbbacabbaacaacabacbbabbbcacbabbaabbbccbbccbccacaccbacbabb
+caacaacacccababbcabaabbcaaacbabbacbab
+cbcabcbacabbcbbcbcaabbbbaaccabbacbbaccccabcacaccccccaaccbabbbbaccaabcbbacbcabbccccbcbc
+cacacbbbbcaacacbcacbacccbcaaaababccbbccacacccccabcaabcaabbbbbbcbcacabaaabaacbaacbaabcbaabacccbabcccaba
+aacabaccbbbaaccbaacbacccbacabaabcabaaaccbbbaaaabcbbcaabbcbabcbbaaabbbababcbabccaabacbab
+cbbbbacbabaa
+caabaabcccbcbcab
+aabbcbbcbcaa
+cbcababbaacabcbcbacaaacbc
+abbaabaabacbacaacbacccaaccbbbacccaabacbaacbbb
+cbbaabcaccccccabaacaabbbbbcab
+92 89
+acaaaaabbcaaacbacbbbbaacbbbacbccbacaaaacbbcaca
+bbabbccaaaabacaccbaaabaabbaaabcacbbaacbacbaabaccbbabbaaaaacbbbcac
+aaaccabcacabaabbbacbcababacbbcacaccccccabcbacbbabcaaabccaccbc
+aaaaaccaababacbacabbaaabcbabcbabcccccbbabbcaacccbbcbabcbaabacbacccacaaaabcaccabccabaaacabccbccbabb
+babbbaccabcbabbcbaababcaabcccbaababacbbccbbac
+abcccacabcbcaccbccabbacabbabbabaaabbbbccaaaaabcabbabccaacabaabcacbccaababcbacccacbbbbacccbacbacabab
+abbccaaacccaaaccccacbaaaaaacabcbbbabbcbcacaaaaacbaaccbbacacacccccbccabaabacabaac
+aaacacbabcbcbbbabbbacbcabbcaabbabbbbcbccbcbbb
+aaccacbcbcccababbaaccccaacaccabbcaaccbcabacbaab
+babcacacaabcbc
+bcababbabbcbabcabbabacbcabbabaccacbccabacbcccbbaccaaaaabbabcaabaaccbcbbbbcacababccccacaaaccacaaabaabaabbacbbb
+ccbacacbbaabcbbacccbcacbbcaabcacccaabc
+bcacaabbcaaabbacccacaaccbcacaaccbacbbcccaabbbcaaabcbbbbaaba
+acaccabbacabaacbbcaabbbbcaabbcbbbcabaabaaababbcaabccaacbcbabaaabbcacbacbbaacbcbbc
+abbbbaaabbacabcabaccbbcbabbcbcbcbaaabcbaaacabaccbcbbcbcaaa
+acbbbbcbbcaabaaccaababaacabcaabcb
+bbccacabbabccbccbaabccccbccc
+bbcacaaabbcbcb
+acbbbbcaaabcbbacbaacaacbabcbbacccacccabaaabacbcccbaaabbccccab
+cacabbccbbacccaaaacaaaaaacbbbbccbabcbbccbcabbcbaabaacaabaaca
+bacabccaacaabacaa
+caccaacccbbacacaba
+aacaaabbbcbaaabcaccaaaacbbbaabbaccbabcc
+aabbaacbcbcaaccacbacbcbaabbbbabaaaaca
+cccbbcbbbcbabbaabbcacacacccacbacbcabbacacbabbbaaccabbbcbcbcbcbcaaaacaabbbbbccababcbabbaacbacbbbacab
+accbaaacacaacbbcbbcbaccaacbbaacabaacabcacbbabbabbbbacbababcabcbcabccabaccbaacccccbbccabaaccacccbba
+aaabcccbccbcabbbabaaabcbaccbababcaaababbaccbbcabcacccbacabbacaccaabbabbcababcbcccaababcbbab
+bbcccaaacaacabacbaabbaacaccbcbabbaabbabbb
+bccbbaacacbcb
+bcabcbababcbcccbcbbcbbabccbacccbbccabcabaabbcccbabacaaabbbbbaccabccbcccccbbbaccbcacaaacaacccccca
+bcabcbcacaabbcbcbbbbcbbaabccbcacccbcacbbbcbcbaaaacbbaababbbacacabbbcccbacba
+ccaaaabbcbbaacbbacacbbcccccaaabcaccbaccaccbcbcaabcbccaaaacbbbaccabcbbcccbccbabbcacbbcaacaccbbbbb
+cabbcbcbcccaabcbbabcbccbccbcbaacbcbcbccbaacbcbccaccccababacbcbcbabbacabacbbccaabbcbababbca
+ccbbabcbcbaccaacabacaaabbccacbabccbbbcbcbbaabbbabcbbcacccccbbbaacbcbbbcaa
+aacbcabaccaababcacbcaccb
+bcaccbccbcabaabbbabbbcbcaacbbcbb
+bbbcbbaaacbcbaacbcccbbbacaabaccaaabcacaabcbbcbaaabcbabccabcbbaacbbacabbcbcaacbbabbccacc
+baccaaccbbabb
+aaacbabbbacbcaaaccabbabacbacaabaabacabacbcbbccbaacaaccbcca
+aabcbcacbccaabbbbaccbbbccbbcbcabcbcbcacaabccacbcabccbbbabbacbaabcccaab
+abbccaaabbccbbbacacababcacaabccababbcbbabccbbccbcabcccaacbbacacbaabbabbcbcbaaabbabccb
+cccaccccbbbccaaccbbcbcbccaacaabbcbbacbbbcb
+cbaabbabbcaaaaaaccbbbaaaabcabacaaaaaacacbcbaabbbacbcaabcabbaccbaccbccbccabaabbccbcba
+babcbcabaacbababaccbbacbabaabbcba
+bbabcbcaaacaacacaacbaacb
+abaabcbccbcbabaacaaaccaccacaaababcb
+abcbcabcbbbaccabacacccabaabaaababbacccacaaaaaaacabbcbbabbacabaabcababbcbcaabccbaacabcbabaacbbcbbbbacaccc
+bbbaabcacaabaabaaacacbbccabaacbbabaabababcbbabcbbabaabcabcaabcaabaacccbbaccabbccccc
+bcbaaabaaac
+cabccabcaabbccccbbbccacabacaaabcababacbcccccbbcbbacbaacabacc
+bcbbaacccccacbbbcacbbcccaacbcbaacacbccbaacabbacaabccacccbabbcccabbabacaccbaabbbcbaabbcccabcccaa
+aabbbcbcaccaaabaabbbbcabaaaabbcbacabbbaccbaabcaabaccbabbbbcbcabaaabbacaabbccbabccbbcabccbaaaccbcaacbacbaccaaa
+cacbcbccbcbbacabaaaaccababccbbbabcccccccabcaacbaabaccbcabacabaacbcacacaabacbaccbcacbc
+abbcbcaacaaccbcbcacccaaccaabbbabbabbcabcabbcaaabbaaaccbbbbcccbbaaabbcabcabcbabc
+cabbacabcacacbcaaacabc
+bbcaaabbbcaaacacaabacacbbbcbac
+bbabcccabacbbbcacaacbacbababccabbccababbbbbcaccccacbbcbabaaabbacccababcbaabacabbbbabbbb
+cbacaababbcbcccababaaabcacccabbbaabaacbccbacccbabacaaaacbbabaaabaabcabcbbacbaca
+bbcaacaccacccbbcaccaaaaabcbabccaccbcccbbcabacc
+abcccbbbcbcccbccccaaccccaaacbbcbabacbbbbabbaabccaabbcbaaaabbcbaaabbaacababcbbcbbacbcaaabbabacaaccccabccccbc
+bbacaaacbbbaccbbbccabbbacaabcbabcabbcbaccbacbbcbccccbcaccbacbbabbbccccbbbacbcacbbbcaccccbcbbacabcaccabb
+bbcabcbccbcccbcbcbabcccbabbbbbaacb
+bbacbaaaccc
+cacbacbcbacaccacccabccbcaacaaccccaccabcbacbacacbabccccaccaaac
+abacbbabccbcbcabbcbbbbbcbbbcbcbbac
+cccbbacaaccabcabccbabccbbaabccbcacabbacaaccbabaccbaacc
+abbcaaababababcca
+baacbaabcaaaabcaacaabcbacacacaabaaccbabbccbaacbccaccaccacbbaabbcbcac
+acbbccaacbcababcb
+cbbaabcccccbabbbbaccbbabacaaacabaccbbbccababbcabbab
+abbbcbabbabbaccaccccabaccabcaabaaaabcbbbbabcbaacaaccbbaabbaaabbcabbcbaacbbcc
+acccabbccabbbbbcccbcabbcacaabacacabcbcbabcbabcbccaabbcabcbbaaacccacb
+abaaaacccbabbcbaaccbcccbabbababcbcaabacaabbcccbaaccbbccabccaacbcbabcbcabbbabaabbcacb
+cbabbbbbabacccbbaccbacabbcaccccaac
+caaccaaccccabbabaabcccbabbccbcabcbccacaaccbaabcabcaabcaaabcbbbcabaccbaccabbaaaaabcaacacccacbccaaccc
+bacbcaaccbacabaccbcacbcbcaababacbbbbaabaacbbbbcacaabacbcccabababbabacbacb
+ccabcaccbcababcabcbcaacbabcccacccaabbbaaaacbabcbcbacbabbacaccccbaac
+caacccabcccbbcacacccccabbabcbbacbabccccccbbabcbcccbbbaacbbcaacaacaabcbbacbcccbcbacbcbccccccacacccc
+bbbcbbaccbbccabbcacccaccbabbaa
+aacbabbaabbcacccbaccccccaccacbccbcccacaccaaababbabbaaacbbaabcccacaaaabbaabbccabbaabacbaccb
+bbcabbbbbaccbabcbbbbcbaabbbbaacbccccaccbcbabaaaaabaaaacaaabbbbaacbbabcaccbaacbbaabcbbbccaabaaa
+ccacccaabbbabccaacabbacbbbcabcbbccaaccaaccaacbabababbaccaccaaaa
+cbbbaaccbbcbacccbcccbccacbcabbbbbcccacaccbcbcabcccbacbcaacbccbbbcac
+bcabcaabcabcccbbabccbacbbbaccbababa
+ccbacabbaacaccbbbabbc
+baacccaabcabcabababccbcaabbcaaaaacababccacbabaccababcaaaacbb
+acbaabcaccccbbc
+cbbacaccbaaabcabaccabaacaaabaccabbaa
+aaaccacaccaabbbaccaabcccabbcabbccaabcabcabcccccabaacacbaaccbbbcabbbccaccbabbcc
+cbccbbbaaaabacabbcacabcccacbcbcccaabaccaabcacbbcbcccabaaccbcabababcaacbccaccbcacccaabacccaabacbccbbabba
+abcabacaabbaccbcbbbbabccaccaccaaacbbabacaaaaacabccbbbabcaacbbbbccaabaaa
+accbccbbacbcbcbcccbccaaacccaaababbcabbbcbcbbacbaccacbbcbaccacb
+92 11
+cccbbbccbcba
+cacabbccaabccababbbbacba
+bbccbcbaabaabaacbcaabbb
+bbaaaabbacaaccabccbbaacbacacbcbbcbcbbbcbaaacccbabbbacaaabcccacbab
+bcccbbbcaabcbbaabbaaabbbcabaaccca
+acacbabbbacccaababbbbabcccabbcccacaacbaaacbbbbbcbacaacbabaaccbbabbabcbbbcbabacbabaaabbbcb
+ababccacbbbaccbcababcbbbcbbacc
+cabbccabaaaaacaccabccccbbcbbacbcbcabbcacaacabbccbcabbccacaccabaabbcbabaccccbcabbaabcbcccacbacbbcbccc
+bacbbcbbacbcbbaacc
+cbcccacbbcabcacacccbbbbaabcbbacabbbbccaaccabbcbbbcabbbaacbba
+cacabcabccaacbcabaccaaccabaccacaabcbbbacbabcaabcbbaacabccbccacccbbccbcabbbaa
+aacaaaaacaacbcbbabbaacccaaaacacbacccaccbccccbbbbcbabbabbbccbababacbbcacaacbbacac
+acbaacbacabcbabccaabccbccccaacbbcccaacaccabbcaccccaaccabacacacbccbbabbbbabcccbcaaacbacabcbcbccbbacc
+cacbccbcbccabaccbbabbcbcabcabbcbcbbcacbccbcbcbcabaacaccccbbbacacccaccabcaacb
+caabcbaabbaaabcaacccbccbbacbcbbcbcbcbcbbabacbbbcaaaaccbcaccabcabbcacbcccbcaccbacbbbaacbcccbcabbb
+accacbccccacbbcccaabaaabbacaabcabbcaaaacaabacaacacbbbbabaaacaccbccbbccbcacacbabaac
+cabbcabccaabccaccbaaabbaacccabcabacaacbaacaccccbcbbcabbacabbaaaa
+abacbacacabbccbabbbabacbbaaaaacaaccabcccabcccabcbccbacabbcabcaaacacaabbcbbc
+aacbccccabacabbbbcabbbccaabbcbabaabbacacbabaccccabbccacaaaaabbabcbbc
+bcccaaabbbcacbbcbabb
+cabacbacbccbcaabbbacccccaccaccabbcaaccaaabababbcaacabbcaccccbabbabccabccbccbcbbbaaccabbaabbabcc
+ccacbabccccbccaacbcacaababacccaaabaccabc
+abbcabcbccaacbbbbbbbcbabbcabcacaacabcccbccbbcbacaaccbbaccabbbacb
+cccbacbbacbbbacbccbcbbbbcabcbbcabbaccaaaccccacbacbbbcc
+aacccccbaaacccacbcacbaacbaaabcabbababbccabcbcccbababcacbbbacbcaa
+abbcbacbccacbcbbaaaacabcccba
+acabcccaaccaababaaacccaabcbacacbabcacaca
+cabccaaacbbcccaacbcccbccacabaccaa
+bcaaccbcccabccbbaccabbbaabcabaacccaabbccbacccacaaaacccbaacbcabccacbbaabaabcaacaacbcabbabacbccacababbabcccccc
+cbcbabaccacacaaaabaaaababcaccbaacaababb
+cbbbabbacbbcbbacaabacbabbccbbaccaccabcacaaaaaccab
+baabaaccbbabbcaacbcaacabacaaacbabcccbabbbbabccbcacbaccaccbbbacbcbacbcc
+cbbbaabccccbbaccaaac
+aaaabccaaaacccbab
+aaabcbcbcccccbccaaabccbbbcaaacabbbababbcbacabbaaaaabcbccc
+bcbbcacccacabcccacbccaaabaaacbcabcb
+bcbabbaabababbcabbbbbcacaacabcbbbbbababbabcbcbbbbcccbbcc
+babbbccbbcababcccbbcccbaabbbcabbaaccbcacbbccbcbacabbcabbcbbcbacccbcbacacacbb
+ccabaccbbbbbbccacababbb
+ccabccbbcacccaabaccbbcbbbababbccaaaabaccacbaccbcbcccca
+bcbcbccaccaccabccbcaaccccbcacbbaaabaaca
+bacbacabcbcaaa
+aaccabbbbaacaabbbabaacaacbcbbcb
+caaaabacbaabbbaaabaababc
+cacbbbacbacbbcbcacbbabaaaabacabbbacacbacabacaacbbccbbaaaaacaccbaaacaabbbababbccccaccaccbcbbcbabccbc
+bbaacbcaaccccccbbabbbaccbcbcaabbbcbcccabbccbcaacccbcaaccaabbbabbaabcaacbbacbbaabaacbbabb
+bacbbaaacaacbabaaacaaccbbaaabcabcbcaab
+acbccacacbabaacbacacbacabbbcababbbabbbcbcbabacabbabbcccaaabbbabbcbaabbabababcbcabaaacacbbaaa
+bbccaaabaaaccbacb
+bcaaaaabcbabcbbbbbabaccccacbacaabccbcbbbaabbaacabbacccaaacacacaabcbcbcacccaabccbccaaabcbaaccba
+abcababababcaccacacabbbccbbbccccbabcbcbacacababcbabcccbcccaccaababcab
+cccacabcabbabacbbbaabbcbccccaababccabbcacaacccacbccbbb
+aabcccbacbcbccbaabaccbbccbaacbccccbcacabaccbccaccaabcabbbbcbaaccacbbaaccaaa
+acccabcbbabcabaaaaaccbcababbaccababbaaababccababababbbacacabcccbaabbabcbabb
+cabaabbbccbbbbcaaabbcccbcbbcaababacaaccbaabacbbbacbaacca
+abbcbccbaaacaccaccacaabcacbbbbcccacacbacbcabcbaabababcaaaccbb
+cbabcbbacbabcbccbaababc
+ccbbbabbcccbcbcaccabaacbaabcbbcaaacacbbbcccbaaacaccbcabbccbccccabccbabcababbbabca
+bcabccacabacbacbaccaacabccacbbabcaaaccbcacbabcbaacaaacacaacbbbcaabccabcbbbcbbabbbcbcaaabcaacbabaaabcababbbcb
+bbbcbacaccccacaaabaccbacaabacaabbcbbbbbababbcbcacbabcabbbbaacacaacbcccbbbbcaaabbccabbab
+acccccbccbbcacabbabcaabcabbbcbcabababaccbcacbcbaacabbbbacaaccaacaaaaabcccaaaacaaaabbabcbbc
+aacabccccacbcbaccccacbabbabbcaaaccbbbcacabaabcccccbbbbabcabcaaaabbbbaaccbaccabacbbbcbaaabaccabcacaabcccbab
+ccacaccacbcbcbcbabacbccabaabccaaacacaccbbbcabbbababbbaaaaccaaccaaccccaccaccabbabcbbaaaac
+abbababaacbaaccbcaabcabaccccaabbbbbbbabacaccccbbaaaacacbaacbbcaaababcbbacbbbbcbacbbccbabccacb
+ccacaacacbaabaccbcbcbaacbbaaaacc
+bcbcbcaaaabcbcbbaabbbc
+aaaabaccbacbbcbccbbbaacaaccaabababccaaacabbaccbcacccbacccabbabbbacabccabacbccabbbcbaccccca
+bbbabacaaaabbbccccbcabaabbbabbbaabbabcacbccabbcaacbbbacaccccccbcaacccbaacbaacacabbababccbbaaaaaccbabaabbbcc
+abcbaacbcccbcccaabaccbacbbaacccaaccaaacacbabcccccbaccaaacaacabcabcaccbacbccacacacccbaacccabacac
+cbabbaccaccccabcccaabcaaabbbcbaaa
+acbaaababababccbcbbabaabbbbaacabccaacbbbcccbbabbbbaccbcacbbabcacacccbbbbcbaabbbcbbcbbacbbcbcbccccaaaacca
+aacccccacacaccabccaccbbbabbabcbbcbbaabbcacacbabccb
+accbaaccaabbacabbacacacbccabcabacacacbbbbcabbbcabababcaabacbbcacaaacbbcccccbb
+cbacbbcbaaacacbabbcabbbaacbaacccacccbacaacbccbbaacbcbbacabbbbaccccbbccbacbaacbabaabcbcab
+cccbbcababcabbcbbbbcabbabaccbccaccabccccabbaabbbaaababbcbbcccacbccbccaacacabbccacaabccbbab
+abbbaabcbbaaabaaacbabbcbb
+accabcaaabaccaaccbaaccbcbcaacbcabbbcbabbccaabccbccbbacaabcaabcaaccaacacccaccbcabacbaabcb
+cabbbbbbacccacbbabbcaacccbccaababcbcbacaccacaabccba
+bcabacabbbcbbabacbaacaccbabbcacacacbbcbcabababaababbbbabcaccbcaaabccabababbccaa
+bccbaccbcabbbbbabaaaccabcabbccabbcbcbaacccc
+cbbbcaccaacbbcbcacccaabcaabbbabcbababcccccababacacbababcaabbacabaaabccbabcbbaaaccabaabacbbacbbbbbbacbc
+aacbbcbabcabaacaaaccccccbccbca
+caacbbbbacabaabbacaccbbbaaccccaccaacccccccacaabccaccbcabbacccbcabccabacabbcaaaacababcaacacaabacbaaaa
+acacbcaabccacbabccaaacaacaaccabbcbbaccbaabbababcabbcbbb
+cabbcaaacbbaabcabbbcccaccabbaacbcccabacccbacaacbbbcbabbacbacabbccbacbbaacacbaabaabbb
+acccbbbaabbbcacccaabcbacbbcccbbacbaacccbabbcbbcaacbbbbbbbabbcaccbbcabcbaccacababcaacbcbcccbbaabbcabccab
+aaabcacabbbcabaccbacccacbacbcc
+cbaaccaccacabacccbcacbbabccabbbbcaccbbcaabccabaacbcabcccacbcacaaaacbcacccabbcbacbabbacccbcacacaa
+bacabaccabacbabbbbbacbabccccacabccaccca
+ababbaabacaacabcaacbcbabacbcaacaacbccbccbaabacbacc
+aaabcaacbacbacccacbaabcbbaccaaaabcbbacb
+cabbbaabcacccbcabbb
+119 117
+bbbcbbabcbacccbbcabababccccabcaaaacabbbbccacca
+bccacaacacbbcbacaabbbabbbbcccbcbbaaaabcbaabaaccbcbcbacabaacbccaaabacacbacccabcbabbacacbacccbbabbaacaacac
+bbccbbbacaccacabcaaacbacabcabbcbbbcacabaacabbaaaaabacbacacbcccabbaaabaabaabbcaaabcacbcaacaccbacabbabbbb
+bbabacaabcbacabaaccbabcacbaacbbaccacabacaacbbbccbcacbaccabbccacbbabaabbac
+ccbbaaacbcabbbcbabcbaacaabacabcacbcbcbbbbaabaaaaacaa
+bcacacbbbcabcbccbbacbcabaabbacaaabbcccaabcbcbccabcacacaabcccbabbbaa
+aaabacccabacbcacbacbbbacbbcbcbaacacacaaaaabacbcbacacbaaccbacacacaacccbacbababaa
+abbcbacbbacacabacaabcbcbabcccabbcbabcbabacacbaaccabbcbbcaaabcabbaccbcbbcaccbbac
+baaacbbabcccbacbbaaaabcabbbcbacaaabcccaaaacbccbbacccbbccbcbaacbaccccaababcaaaabccccbabbcabccbcaabbab
+cbbbbabbcacc
+cacabacbcbbbccaccaccbcacababcbabaccacaacaabacaacabacccbcaacbbacabaaccbcbcccaaaccacbbaababccbbcbbbaaccaaccba
+ccacaabcbacabbccacbccabaccbcb
+caacaccaccbacbabbcabcacccccccbacbbbcbcbbcaaaabbbcaaccabbcbaaaacccaaabacbccacaab
+ccabcbacaccbcbccbcccababcbcbaccbbca
+aacacbaacbaaacbabcacbcbaaaaacaabacacabbabcc
+bccbbabacaaaaabbbacbccaaaccccababba
+cccccbcabaccbbbbbaacccbbacaabbbacacaabbcbaacccccbaccbcacbaccbbbcbaabccbbcc
+cbbbacacbcccbbcbabaaabbabcacbccbbccbabbbbbaaacbcacbabbcbaccaaaaabaacbcbcabcaab
+bcacccbbcabaccacacaaaccbabccabcbbacabbbabccbbcaccaaaaabaabbbbcbcbccaac
+cbcabbccabbcbcbabaababaacccc
+bbcbabcbacabaccaabcabacabaabccacbacbaacaacbbcbccababbaaccccbbcabbccaccbabbabcbbbbcaabcaaabacaacbcaba
+caaabcabbcabcabcbbbaaaccbbbbababcbabab
+acabcaabccbccacbccaaabbcbcabcaacabaacccbabbcacbaccbcaccabcca
+baaabaacaabbaaabbcbbbabababaabaccaabcab
+ccaacabacaaaccbaccabcbbbcccaaabbbaabaaacbaaacacacabcacccbccbabacbaaaccabaccbbcabccacbbacab
+acacbaccacaabccbbababccabbbc
+baacbccbbbcbacbcabcabbccabaaaacbaabcbacbaababcbbaccacabaaabcbbacbbccbabcaaaabbaababb
+cacacaabbabcaacaabbaacaaaaccbbbaacaabcaccaccbcaaabaacbaabcbbcbcaabaababbbcbb
+abbcbbccaccbcbbacbbbcbccbcbacbbcacaaccaabbabbb
+accbcbcaaacabaabaaa
+bacbbacbccbcbcaccbbcaacabbcbbaaacbaaacabbabaabbbbcbbcaabacccabcbacabcacccabababcbccc
+ccaacbccabaaaabbbcbbccbbcbaccabcacccaacaabbbacaccacacbabbbbccaaabbb
+acacabcbccccaaaccbbacbaccacccc
+bccbcacabbacabbacbbabcabcabcaccbbabcacacaaccccacba
+bcaabbbbaacbbbcaccacbccbcbbcacccacaabccbbcabbaabcccbbbbaccaaacaacbabbcbacabacc
+accabbbbbcbcaacabababcbcbbbcaacaccccbccbccaaccaacbacabcbcbaccabbcbccccbacababaacbcccccaaaabca
+cbaccabbbaabaaababcbccbaccabaacbcaccaccbcbabcacaaababcbbccabaabbcbccacabb
+ccbaaabbbbaaacbcaaaabaccbacccacbabbcacbcacbbbccb
+caaaababbacbcacabccbbccccbaaccbaaabbabababaacbcabcaabbbc
+aababbbaccbaacaabcccaccccabaaacabbacacbcacbbcbabcbcbbbaaaaccabaacbacbaacacaaaba
+baacacbcaccabaabbacabacababbcaccbbaacaacbbbcaaaaaccbabbaababcbbaaacaaacabbcbbccacabcabcbbbbcbaaccaaabb
+ccacbaaacbcabcaccccaacaaabbaacbcccabbccacbbcbbccbaacbcccbbabbcacbabcacbbcbacaca
+bbbcaabcaabcacbaabaabacabbcccbabbbbaccabbcbabbbaccaccaacacaaa
+cacaaaabaaacb
+bacabcbaaabcacbcacaaccbcccbbbaccacbbcbcbbacbbbbbb
+ccccabcacccbcababbaaacababcccabaaccaabbbbabbacccbbabccaaabaaaabcccacbcbb
+cbcababacabcbabacacbabacaccccaccaacbaaaa
+cbcbcaaacabbbab
+acccabcbbccacacbcbccabaabccaccbacbbcabbbcaaaaabb
+aabacbaabcbbbcabbaaacbaccabbcacaabbcacabaaccbabacaaabbcaacbacbcac
+babccbaabc
+cccbaabcbaaaaaacabbababacbbbbcbbcccaccacaabcccaacbcbbabbc
+cacbabbcbabacaacbbbbabcacaaabcabaacabcaabcaabababacccacbaacbccbcabacbbcbbaabcccccbbbbccabbcaacccaccabcbacacc
+bbcbcbbcbcbcbbcbbbbaccabcabacbccabcabccccbbaacbcacaccbcbcccbbc
+bbabbbcbccabbbabacbaaca
+cbababaabacacbbbacabaacabcbbbbccbacabccbbbaacacccbbbaccaabbbbaacbbbcccbbaabcababbc
+baacacbacacaabccaaacabcccacbcbbccaabbbaaccbccabab
+aaabcaccbbcbabcbccaaaaaaacaababcacaacacacabaaaaacccaccaabca
+aaaabcbbcccacccbcbacaaabcbbab
+abaabaabbbbccabacca
+aacabaabcabbcbaaaccacbabbabacaaacacaacccaaaccbcbbbababacbbacaabacaaaaabbacabaacccccbcbaccc
+cccccbccbbaaabaccccabcba
+abcbcaacaababacbbcbbabbcabcbabacbcccaaacbbbbaaaacbaabccaacacbbcccaabbabcbccccbbbcc
+bbbabcaaacbccabccbbcbcccbcbacabbccab
+bcabaacbaaaccbbcbccbabccacabbbccccabbccbaaacaabcccabbabca
+aabcaaaccc
+aacacbbaabbababbacccababcabbabbacbabaababcaccbabbbaacccbbaacbbcaaaaccacbaaabaabacabacbbacaabbcbbcbbaabaaabbca
+bccbccbbab
+bbabbbccaaac
+baababbbbcbbbabbacbbcbbbbbaaabacbcabccbca
+baaccbbbacbaabbcaacabacaabbabbcbabccabbabccbbbabaacbbaacababacbcbbbbbaccacbbcacbbcbababcabbbacbac
+abcccccaaccbacbabbcbcbccccacbaabacaaababaccbcbaaaab
+ababcabacabcbaacaacbaabccaabaabbabbacbbcacababababcbcbcaacbccabaa
+bcbaccbbbaacbcbacaccacbabbccabcabcccbccbccaccbabcbbabcabcaabaabaabacca
+ababacaabcacaaac
+abcccbaaccaabbacbaba
+caccaaccbaacc
+bbaaacacccccabcbacbbabcbaababbbcbcbccaabbacccacabcbaaccccbaaacaabcccaacacbaacbcbcbccbcbbbacbccacabbb
+acbbaaabaaabcbcbaacbccbbabcccaabccccccccc
+aacccaaabcbcbbbacababcacccacaabbaaabbab
+abcbaabaaaabbcbccbccbabaaccccbc
+aabcabbbab
+bacbcbcabcaccaabaacccabaaabcbbabbababcabacbaccbaabcccbaccccaabbacccacbcac
+abaabaaabacaaacabcaaabcbbacabaaccbccbbaccbaabbcc
+caabbccbccacacbbcbbbacabccbababcacbabacbacabcccaccacabcc
+abaccccccbcbcacaccbbbbbbababcccacacbbcbcbcabacbbcabbacccbaabbaaaaaabaacccccccccabcacbabbcaabcccabbaccbab
+aacbacacacccabbabcbabcaaccccbbabcbacb
+baacaacaccaacaaabccabaccabccbc
+abcccabcacaccaaccacacabcbbaacbcaaababbcababaaacbcabbacbaaacaabcbbcbabccabbbbbbccccabac
+aacccbcacabbabbaaaccaabbaabbccabcbbaccbabcbacacaaccbcbaccc
+caccabbacccabaaacbcaaaacaaaccaaaabbccacbcaabcabaabacccbabbccbbababcabbbcaababaabcbcaaccbcbcabbaccaa
+accbcbcbabbcacc
+bbccbcbcabcaccbbababababbcacabcacbbbcbccbcabbaccbccbabcabbababbcb
+aaacbaccbcabbbaacaccbbcbbcccbbbbcaaabbaacbcacacabcbcaba
+babaabcabcbbacbaaabcaaacabcbacacbccaacbcbbbbcbabcbbbbabcaaabcccabcacbbbabaaabbcccbbbabacbcbcccaaacbcbabbbaacc
+abacbacccab
+caccacbccbbaaaccc
+cbacaaacccccbabbcaaccccacccbccabbbbbacacbcbbaabbcabaacbbacbbcacbcacbbacacbcaabbabcaaaacbbaaabcabbbabbb
+aabbcccabb
+ccbbaccbcabaccacbcbcaabcacaacabbaccabaacbacbbaccaacabcbbbccacbabbc
+acacbbcabcabababbcaaaababacbaabbbacacb
+cabbabbbbacbbcbbabcbccabababbcaaaccaababccbbbbcbccacaacaabbbbbabacbbacccacbcacaabbabcabccbcabccaabacbcca
+baaaaacbcbbaabbabbababbbbbccbacbababbcbacbbabbbaaa
+aaacbabcabbbbbbbabaabcbcbccbccbaccabac
+bcaccccaaaaaccbcabacabababaccabbccaabbabbcabcbbbaacbcccccbcaababababcbaacbacbbbcbbbbbbabcccaacba
+cbbbcabaaa
+cbcccbcaacbcbbbbaaaacbccccbbacccabbccbcaaaababbcaabbbbacbbbcabab
+aabacbabacbcbccccbabbbbccaaabacccaaacbacbccacbaccabbbcccaabaaaccbcbcccaccbbcccacccac
+aabaccabcabbcbcacccaabbba
+abaacbbcaacbbaccaabbbbabbbcbbabbab
+cababacccbcaaacbcababcaaccacabcccabb
+accccccabacccbbacbaacaaabcaabb
+cbbaccbcbabbaabbaacbcccaacccabbaacbcacabaaacbbabcccbaaabbabbccc
+caccabccbbcacbabbbcccaacaabbbbacbbccbcabbcccababbcbc
+abbcbccabacbccccaabbcbaaacccabcabbcacabacbccaacaccb
+ccaccaaababcbabcbbbbbacbacaaccccaccbaabaaabcbbcbccaaccabaabbcbcaccaacccabaacca
+baccabbbacacacbcaabcaccccabbcaacabaaaacbbcaccbcbcac
+cbcbbbacbaabcababbcaaaabcaaaaacbcbbbacacbacbbbccaccbaaccabccc
+bbabbbabbcaba
+129 71
+babaaaaaaabaababbbbabbaababbabaaaabbabababbabbaabbabbabbabbbbaabbaaabaababaaabbaabaababaa
+bbabbbabbaabababbababbabbabaabbabbaaaaabababbabaabaaabbbbaaabbaababbabbbababbbaabbbbbabaabababaa
+aaaabbaababba
+aaabbaabababbbbaabaabbaabbbbaaaabbabaa
+bababbaaababbaabbbbabbbbaaaaabbbbaaaabbbabababbbaabaababbaaababaabbaaababbbaababababaabababa
+babaaaababaaaabbbabaaabbbbbaaabaaaabbabaabababbbaaabababbaaabbbababaaabbabaaababbabaabbababbbaabbabbaa
+babbbbbaaabb
+aaababbbaababaabaaaabbaaaabbabbabaabbbbaaaabbaababaabaaaaaaabbaaaabaabaaaabbbabaaabaab
+bbbaaaaaabaaababbaabaaaabababaaabababb
+baabaabaaababbbaabbababbbaaaabbbbbbbbabaabbbabbaaabaabbaaababbaababbbbabbbbbaabbbbbaaabbabbbbbabbabbaaaaabbb
+bbaabaaabaabaaabbbbbabaabbbbbaaabbbabaabbababbabababababaaaabababbaabbbbbbabababbaaaabbabaabbbaabbaaabba
+abbbbbbbabbababbaaaaaababbabbabaabbbaabbbbabaaabaaaababbbabb
+abbabbbabaaababbbaabbbbababaaababbbabbaababababaaaabbaaabaabaabaaaaabab
+baaababaabbabbbaaaabbbbabbbaaaaaaaaababbbaabababaab
+babaaababab
+aaaaabaabbaaabbabbbabbbaabababaabbaabbaaababbbaabbbbba
+abbaababbaabaaababbbabaaabaaaabbaab
+bbbbbbbbbaaabaabaaabaaabababbaaaabaabbbbaabbbbaaabbaaabbabbaaaabbbbaaabbaaaabaaaababbabbbbaa
+bbbabbababaaaabaaababaaabbabbbaabbaaaabbbaaabbbabbabbbbaaabbbbbbbaaaabbbbbb
+bbababbbaaaabbaaabbbbbaaaaabbabbabaaaabbbbabaaabbbaaabababbababaaab
+bababaaaaaabababbbbbaabaababbaababaaaabaabbbabbbbaaabbababaaaaabbbbaabbaabbaabbabaaaaaabaababaa
+babbababaababbbbaaaaaaaaaababbbaababbbaaba
+bbaaaabbbaabbaabbbbaababbbabaabbbb
+bbaababbaaabaabaaababbbbbaabbaabbbbabbaaaabbbbaaababbababaaabbabb
+bbababaabbbabbbbbbaabbbbabbabaaaabaabababaaaaaabababbbabbaabbaaababbababababbbababaababaaaababaaabaab
+abbabbbbaabaabaabbbabbbaaababababaabaaabbbaabbbabbb
+bbaabbaababbbbabababaaaabbaaababbbabbaaaabbababaabaabbbabbbbaabbaaabbbaaaaabaaaaabbbbbbbaa
+bbbbbbbabbbabaababbbabbbbbbab
+aaabbabaababaabbabbaaababbaaababaabbaababbbaaabababaaaaaaaabbbaaaaabbabaabbbaabaabbbabaaabbbaaaabaabbabbaa
+aabbababbbaaaaabbbbbbabbbbaabbabbbaabaabbababaaabaaaabbabbabbbaaa
+bbbaabbababaaabbaaabbaaabaaaaaaababbaabaaaaaabbbababbbaaabbbaba
+aaaaaabbbbaabbabaabaaaabbaababbaabbbbbaabaabbaabbbabbbbabbabaaaaababbaabbaabababa
+baaaababbaaababaabbabaaaaaaaaaaaabaaabaaaababbababaa
+babbbbbabbbabaaababbababbabaaabababaabaaaabba
+bbbaabaabbabaabbbbbabaabaabbbbaabbbababbbbaabaababbabbbbaaabbbbbaabbbbabbaaaaaaaaabbaaabbbbbaaabbbabababbaaaa
+aaabbaaababbaabbbaabbbaaabbbbaaaabaaaabbaababbaaaaabbbbbbabaaabaaabbbbbbaaababbababaabaaaab
+abbbbaabbbbabbbabbaabb
+bbbaaaabbbbabbbabbbbbbabbbbbabbaaaaaaabbababbb
+baabbabaabbbbbbabbbbbabbbabaabbabbbbbaabaabbabbb
+aabababbaaaabaabaaaabbbbaaababaabbaaabaabbbbabbbbbbbbbaababbabbaaaaabaaaaabbbbaabbaaabbbaaabbababaaaa
+bbbbbaaabbabbaababbbabba
+aabbabaaabbaaabab
+bbbaaaababbbbabbbbabbaabbababaaaabababbaaabbbbabaaaabbbaa
+bbbaaaabbbaabaaaabbaabbaabbbabbabbabababbbaaaabbababaaaabbbabbbbabaaabbabbabba
+abbabaaababbaaaabababbbbbbbbaa
+aabbbabbbbbaabaababbbabbaaabaabababbaababbabaababbbbabbbaaabaabbabbbbaaa
+abaaaabbabbaaaaba
+abaaabababbbabaababbabbaaabbbbaabbbababaababbbbaabbaababbbabbbbb
+bbbbaabaabbaabaabbb
+abbbabbaaabbbbbabaababbaabbbbaabaabbbbabababbaabbaaaaaabbbb
+bababbabaaababbbbaababaabbbaaabaabbababbabbbababaabbaabaaabbabbabbbbabaababaaaabbabbbbbabbbaabababbbaababbb
+baabbbbbbaababbbaababaaababaabaaababbaabbaaabbbbbbaaabaaabbbbabbaaaaaaabbaaaabaabbaababbbbabaabaaaabbabba
+bbabbbaaabbabbabbbbabaaabaabaabbb
+abaaaabbbbaabbbabbbaaaaaababaaabbaaaababaaabbbbaaabbbbbbbbbbabababbbbaababbaabbbbabbabba
+abbaaabaaabaaaaabbbaaababbab
+abaabbbaabaab
+babbbaabaaaabaabaabbaaaaababab
+bbbabaaaaaabbaabbaaaabaabababaabbbbabbbbaabaababbbbabaaaaaabbbabbbababbaabaaabaaabbbabbbbabbbaabaab
+bababaababaababaabaaabaabbbbaabaabaaababbbbaba
+aaababaabbaaaaabbbabbaabbaabbabaaaabbbaabaaabbabbbbabb
+babaabbbaaabbabaaaababbbbbabaaaa
+aaabbabbbbaaaabbabaaababaaaa
+ababaaaaababbbbbbaaaaabbaaaabbbbbabbbaabaaaabaaaaabbbaaabbababbaaaaaaabbbababbbabbababbaaaabbaabaaa
+babaabbaabbbbababaaabaabaaabbabbbaababbabbbbbabbbbaabaababbabaab
+aaaaabbbbaabababbbaab
+baaaaaababbabaaabbbaaababaaaaaabbabbbaaabbbabbbaababababbabbabbaabbbbaabaab
+abbaaabbbabaabbababbbaababbabbabbababaaababaabbbbbbababa
+aabbbabbaaababbbbabbbbabababaaabbabbaabaaabaaabbabbbbaba
+bbaabbabababaaaaabbbbabbbbaaabbabbabaaaabaabbbbbaabbbabbbabbabbabababaaaabbbbbaaaaaaabbaabaaaabaaaabbbbaaaaa
+baaaabbabbaaabaaabaaabbabaabbabaaabaabbaabbbaabbbabba
+abbbbbbaaaabbaabbbbbaabababbaaabbbabababbaaaaaabbbbbbba
+baaababbabbbbbabbbbabbbaababbbbaaabbaababbbbabaabbbbababaaabbaabbbbb
+ababbbaabaaaabababbaaaaaaaabaabbbbaabbbabababbabbbbbabaaabbabaaaabbaababaaaabbabbaababbbabbaababbabbba
+abaabbbaabbbbaabbaabbbabbbbababaabbaabaabbaaabbabaabbabaaababa
+abaaaabbbbaaabaabaaababaabbbabaabababaabbaabbbaaaabaabbbbbababbaabaaba
+ababaaabbbaabbaabbbaabababaabbabb
+abaabaaaabbaaaababbababaaabbaabaabbbabbb
+babaaabaababbbbbbbaaaaaaabaaaaabbbabbbbbabbaababbaabaa
+bbabbbbbbabbaaabababaabbababaababaabbabbaabbbbaabbbbbabaaababbabbaabbbaaaababbbbbabbbab
+abbbbabbbbbbaaabbaabbbababaaababbaaaab
+aaaabbbbbbaabb
+abaabaaabbaaababbaabbababababbbbaaaabbbabbbaabaabbbbbaaabbaaabbbaabbbbaabaabbbbabbaaaaabaabaababababaabaabaa
+abaabbbababbaaaaaababbababaaaa
+aaaabbbaaaabbababbaaaabbaababbbbabaaaaaabbbabbbbbaaaabbaaaababbaaabaaabaabbbbababbaabbbbbbababbbaababbaab
+bbbaaabbbbbaabaabbabaaaababbbbaaaabbbaaaaa
+aababbaaababbbaaaaababaababbbaabbabaabbab
+aababbbabbbaaababbbabbabbbabaaaababbaaababab
+aaabbabbaaabaabbbbabbbbbabaabbaaaaaabbbabbaaabbbaba
+aababbaaababbbabbaabababaaababaabababbbaaaabaaabaaaaabbbabbbaabbbabaabbababababbaabbbbbabaaabbbbabbabba
+bbabbaabaaaaaabaababbbbaaaabaabbabbbaabababbaabaa
+aaababbbaaaabbbababaabbbabbaab
+bbbbaaaaaabaabaaabbabbbbbbbababbbaaabababababbaaabaabbabaabaabbaababbaabbbbaabbbbbabbbabbab
+baaabbbbababbabaaabbaabbbbbbbbaaaabbbbaabaaaabaaaabababbbaaaaabbaaabbbabbabbbbb
+bbaabbababaabbbbaaaababbbbbbaaabbaaaaabbbaabababbaaaababbabbabbbbbbbaabbbaababbb
+baaaabbbbbbbbbabaabbbbbaabbbaabababbabbabaaabaabbabababbbbaabbababbabbbababbbaabbbabaaababaababaaaabaaaa
+aaaaababababbbabbabbaabbabaababa
+babbbbbbaaabbaababbbbaabbbbbaaabbbababbbbabbbababaabbbbbbabbbaabbbabbbbbbbabbababbaaaababababaaaaaa
+bbbaababababbbaaaababaaabbbbbaabaaabbaaaaabaabbbaabbaabbbaababaaabbbbabbabaababbbabbbbab
+baaabbaabaabbabaabaabbbbbaaababbbbaabaabaaababb
+bbabaaaabaaabaaaababaaaaabaaabaaabaaaababbaaaaabbabbabbbabaabab
+abaababbaabbbabbbaaabaabbbaaababbbbbbabba
+babbbbaaab
+aabbbbabbbbbaabbaaabaaabbbbbbbbbabbbbaababbbaabbaabababaabaababaabaababbaaabaab
+abbabbaabbbaaabaaaaaabba
+bbbabbabaaaaabaabaababaabaabaabaaababbbaababababbbabbabaaabaaabbbabbaabbbabaa
+babaaabbbbab
+babbbabaaaababbabbbaabaaaaabababbbaabbbbaaaabbabaabbbbababbbaabbbaaabbbb
+abbbabbaaabbbabbababbbabbabbabababaabbbbaaaaaaabababbabaabba
+baabbaabbabbaaaabbbabbabbaaabbbaababbbaaaaabaaabababbbbbbaababbaaaababbbbbbaabbbabbaab
+bbbbbbabaabababaababababbbbbbabaaabaabbbabbbbbbbab
+aabaabbbabbaaaaaaabbbaabaabaabaabbabbabbbabb
+bbbbbabbababababbaababababbaabbbaabaabbabababbabababbabbb
+bbbababaaaabbbbbabaaaaabbbbbbbabaabbbaabbbabbaabaaabbabbbbabaaabbaababbbbbbbaaabbbbaaa
+abaaaaaabbaaabaaabaababbabbbbabaaabbbbaaabaaaaaaaaaababaababbbabaaaabbaaababbaabbaabbabbbbbaabababaabaaababa
+baaaaabbababbabbbaaaaaabb
+bbbbbababbbbbaababbaabbbabbaaaabbaabaabbbaababababbbb
+aabbaabbbabababbaabaabbaaabaaabbbbbaaabbbaabbaabaaaabbaa
+aaaababbbaabaababaaabaababbaabbbbabbaabbabbaaabbbabbbbbbaaaabbbbababaaabba
+baaabaaabbbbababbbabaaa
+aaababbaababaabaabbaaababbabbabbabbaabbaabaabbbaaaaaabbbabababaababaab
+abbabbabaaaababaabaaaaaabaaaaaabbabaaaaabbbbababababaabaaabbabbbaabbabaababaababbabaaabaabaabbbbbaaabbbbaa
+bbbbbbabbbaabababbabaabbabbbaababbbabbbbbbbababbb
+bbbbababbabbaabababbabbbbabbbbaabbbabbabaaaabaabaaa
+aaaabaababbbbbaabbababbbaaaabbbbbabbaabab
+babbbbaaaaaaaabbabbbbaababbbaaabbaaaaabaabbbbbaabbbabbbaababaababbbbababbaabbabbbaaababbaabbbbababab
+bbaabbbbbaababbabbabaabbbaaababaabbbbaababbba
+babbababbbbaaaaabbbbbbbbbaabaaaaabbbaab
+aaabbaabaabaaabaaaaababbbaaaaaaaabaaaabbabaaaabbbbbbaaaaab
+baaabbbaababbbaaaaaabbabbababababbbaabbabbababaaababb
+211 54
+ababbbccbbabcbabcb
+ccbbcbabbabccbb
+bbcbbcccbaabcbcabcbaccaaccbabbbbbabaacabababcabbbbbbcbcccbcccc
+bccacbaacccaacacacbabaabaabacbbcccaaccbabbbacababca
+ccaaaacbacccaccaacbcbcccacaaabcbcccabbcacbccbcaabbbaacaacbbbbacabacbcb
+abbbaccccbbababbbac
+abaaaaaaccaccaabaacccacbbccbcaaccaaccaacabbbbacbbbaa
+cbcbccccbacaacaccbcccabacbacaabaaaababaacbacccaabccabacbcbbcbccacaaabbb
+aaaaabbaaabcbabaccbacbaababaacabbcbcacabcbccbacaaaaccbcbbaacaabcbbb
+cabbccaacbbabcbaabababbcaacbcabbcbababaccccaacbacbbabaaccbbcac
+aacbcbabacbaccbcccccbbcccaaaacbbbbc
+bcccaaacbbcacaacbbbbaabbbabcbabbcbacbbcacbcaacacbccbcacabbbccbbabcacbcac
+accbcbcaabacabbabacacbaaaaaaababccccaaccbaaabcccccacbcabcbabcccacbcacabaccbacaabcabbabaabacabcabbaccabcbbabaa
+aacbbcbbacbbccbbabacaabacbcbbbabacbbaacababacccbccaacacbbbccccabbbca
+bacbbbccaacbbbccaaaabbabbbbbcabbcaabaaacaacbacccbcaccabbcbacbabaacbbaabccbccccababacaababa
+accaacacabccbabaaabbabbacbbbacacabaaaaabbababaa
+bccbcabcaccacccacbcacabcbbbcbabcbbacccabaacabcabbaaabacabbacbbccbcbabcaaa
+abcbbcbbcbbbbabcabcaba
+acaccbccacbacaabbaccbbaccacbcabccbaaabaabacccccbbbacbabaacbcaaabaaaaacacabbaaccabacaaaaabccbbaabbcacbaacca
+cababacccacacccbcababbabcbcbbbbaabaccbabcbbcccbcabbbcb
+aaccbbbacbcabbbccbacacbacbacacbcbcacc
+abcbbaabbbbabcababccbacbbbabccbaacbacccccbaacc
+aacabaabcacbccac
+aabaaabbcaabacbabacabbabcbacacaaaccaccbbcaa
+bbcbcabbcbbbbaaacbcccbacaaacaabaccbabaaaabaabcbacbccccbbacabcacbcaccbcacabaabbcbbcaaacccbb
+bacbcaaabccbaaacabbabcbcaabcbcacacbacccbccbccbabcacbbcc
+bababacacb
+cbabababcbacaabcccabaaacbbbaacbabbaaaccaabbcabbcbaabcbcbcccbacaaacbacbabacacabcbccaacaacacccbbbbca
+aacabacbcc
+aabbbaaaacaaabaccacbaccabcaccabbcbcbcccbcaccaccbbacbcbbba
+bcbcbcaabcbaaacbbcbccbbbcbacbacabcabcaabbbbaccaba
+acbacbaccacabaaabbbbbbcbbbacbabcbbcaaccacacbbbaaaccbcbabccbbbcabccbaabbcabaaccbb
+aaabcbbbcacbcbbbbbaabccbcaac
+bcbabbabcbcbcabaacccbbcbcabaccabcbaaaaccaac
+acbaaabbbabccbbcbaaaabccbabababcbbbcbcabccabbaacccccacabaaacbabc
+caabcaacbbbabaaacccabccaacbaabaccccaaacbccccaa
+cbcbbbcbcabaaaaabcabacbababbbcbaaabcabcbabbcccbbcacccbacccabaacbbcaabcbacbbabcaacbacbcbac
+bbccaaccacaaabcbcbaaabaacbaaacbcbacacaccbbbabaaacbaccbcccaabaccbcabcbccbccbcb
+cabbbaaacaacbcaacabc
+babaaaccaacaacabb
+cccccccccaabacabc
+bbbcabccabcccccabbabcaabaaacbcccbbabcababaabbbca
+cbacbccaccccbaaca
+bbcccbabccacacababcbcac
+ccaacbbcbabccccbbacabaacacbcbabacb
+acacaabbbbacabcbcabbbcabccbbacabbcbcccaaaacabbcbbacbabacabccbccabbccaa
+babaacaaabccaacbbabcaabaacbbabacaacc
+caaabaacbbacaaccabbcaabaacbaaabcbb
+bbcaabcaaaabbacacaabaabaabbcbbcaaacbbcccacbbacabcbabbbbaaabbab
+cbccacbbbbcbcacacbacaaabaccbaacbc
+cbaccaacccbccaccccccaacbababaaaabaacaaabcabbbcbaacccbcccb
+cabababaccbcaaabbacccabbbbcabcaacabbacccabcccabcacaaabbbaabbcbcbabbc
+bcaaabccabaaaababaabcacacabbbcbacaccaabbccacbaabbaabbcccacbacacbbacbabaabaabcaacbabbbcabba
+bccaaccaccbcaabbacbaabbaaac
+cbabbabbbccaabcabbaaccabacacc
+aacabaababaccbbbbcbcaabaccccbbaccabbccbbccbaabaaccabaab
+abcaccabaaaccabbabacbbcaacbcbacbaaabccacbbacca
+bbabcaacabccaabbcbbbbbaaabcbaaa
+caabbaabab
+cbbacbacacccbccbcbaccabaaaabaabbc
+ccccabcbabbcbbcbbccbcbcaaaacccaabbcaacbcaacbbabbbcbccbacbcbcbbccbbcc
+caaaabaaccbccacabbabcaabcaabbaccbacabaccbcccbcb
+caaaabacbac
+caabbbbccbcacccaaccabcab
+bcacabcbbbcccaccbbaaabcbbacbcabababcbabaabcabbcbcbcbbbabbcbacbaaccbaabbcbbcaacbcaac
+bcbcaacbbbaacabccbaccccbbbacbaabaaacccbcbacbaccaaacaaacccacbbca
+acccbbaccccabbccaacccaaaccbbbc
+baacbbbcbabcbbbcbabcbcacccbccaabbbaabcabaabbcaacacaaccbacaccbababbbab
+baabcabacaabbabbccacacccbacbaacbccbcccbaacbaccbbcabacaccbbbacaaabccacacbbcbbabbbcaccabcaacabacacb
+caabcacbcaaca
+ccbaccabcacaaaacaabcbccac
+bbbbbcaabacabbacccbcbbccccbcbccacbca
+cacccbcbbbcabacbbbbabcbabacaacabacbacbccaaaaccccacabcbccccbbacbbabaccacccaacaabcabbcbbccccabbacbaacaaab
+bbcacabaabcaaaaaccccabbcabbcabaabccbcabbbabcbaccac
+aaccbbbcacbbaacaaccaccccacccbbccbcabcbcaaabbaaabaaaccbbbaaabcaabababcbcbacbabcabaccb
+bcbaaaaabccabbacabcbcbacaaccabbcccbcbbabcaacaaababaacabaaabcccbcccacbbbcaacccbcabacbac
+baacbabaaaabbaacacbca
+bbacbcbcabcbabcbcacacbbccccbbaacbccbcacabcaabbaabbaacaccccbbacbacbcbcccab
+acbcaccbacbabbacaaccbcacacbcababcaabbccaaaccaaabbacaabbcbbacccbcbabbabbbcbccabac
+bcaaaaaccbcbacbbbabcabcaacbbbccaabababaaababbbaacbccbcabbbcacccccbaacbacaaaacabbbccbcbcbcbccaccacacb
+aacccabbaccababcaaaacabccbbccabbaacabbbcccabcbcabaacbccbbacababbabbbacacbbcaacacaacbabcbcacabcabcaacaabbbac
+bbcbaaabaaacbbaabaabaabaaabb
+bbabcbacbbccbbcbbabacacbabaabccccaacaababaaccbcccacbbbcbaaabbbcbaabbccaabaabcbbccabcbbbcbababbbcabcbbbbab
+bacbaabbcaaabaaccccacabbcabbabaacabaacccbabcca
+bcababbcccabcaccab
+abcaaabcacacbbabcacbabaccccabacaaacacbaaabbbaacbbcbaccbcabbacacaacaababbaabcabbcbbcbbbccbaaac
+abbaacbcabacccacaacccabcccca
+cbabcaaccccbcbbacccaabaccaacbacbaacbcacbabacbcaaccbcb
+acabcbcccabcabbaabaaaaaacaabaabcbcbcccbccbccccabcabccccb
+bcbccbaaabcbcbaaacbbccacbbbacbbbbaacaabacbcacabaac
+cbbcbbabaabbbbbc
+bbbbcbaaabbacaaaabaccbbcbaccbbbcbaabbcaabcaacaabbcbaccbbccaccabbccaaaaaaabcbccbababbbbcbbacbaababaacccaaabb
+bccbcabbacacbbacabaacbbcbacaacbabaacabcccaaaacabcbbaccabcacaaacbccbcaaacbbcbcbcacbabcbbcbbcbccbabb
+baacbcacbacabcacacaaacabbccabbbacaccbbcbaccaaccacbabacbacccccbccaccbbbaabbcbbccbaaacbca
+acacabbbaaacccabcbabbcbcccaccabcbaababbbccc
+bbabbbcbbbccbaabcccaaacbacaababbacbbbaacbcccbcbbaccbcacabaabcbabbcbbbcccacbcbabaacbab
+cccbcbaaabaabbbaabaccbacbbcabbbacabacbbaaaaccacbabcccaabbbbccaabbaabccabbacbcbaaccaccaabaaabcaacaa
+cacababbbacccbbacabcacbacccacabababaabbbccaccbccaccb
+cbbabbaacbabcbaccaacbbcbccabbcabaaaccbacabcc
+caacccabbacbaabccbabccacaabacabacabaabcacbbcbaccbbbccabcbbbcbacbbcacaaaacaaacabbbccacccbbcacacbbcacbbab
+cabcbbbbacaacaccacbaabbabaabacccbccaaabbaabcacabaacccaccbcaacacacbcbcbbcacbacacccbabcbccacabacbbccbcaabaaa
+bcbaaacbcbbcaaccbcabccacaccbbacaabcccccaaaccacbbaacbcc
+babaaccaabcbcaabcaabacabccaabcbbabbababcbbccacacababcbcbcccabbbca
+bcacbbcabbcaccbbabcbaacaaaaacbcccbaabacaaaaccccacbacbbcbbaababacaaaaabccacabc
+bacabbabcabacbabbbaaabaabbaacbabbbccbcbacbacaaccbbcabbba
+acccabbbccbcccccbbbbbacccccabccaccabacbabcabbbbabcbcbbaacbbbaaababbbbcacacbaccaccacbcabcca
+abcaabbcbcaccbcbcbaaccacacbbcabaabbbaccbcbccbaacaccaabbcbbcabbcacacaab
+bbcacbbbbcccaaaabaaaccaccaababaababaabaacaabcba
+cacbbabbcb
+bbbaaaaaccbcbbcababcbcaaaacaacc
+bcbbcabaabcacbaabbcbcbabcabaabbacbcbbabacccbbabbcccaaababcbacbbcbabaaabbcacca
+aaabbbbcaacababbbcbbabaaacaccbccaaabaacacbbaccabbacabccaabcaabbcccbaaccaaaaaabaccbaacabcbabaacbababcbbc
+babaaaccacbcbbcac
+acbbbabccccababacbabaccbbbcccabcbbbccabaaaabccbbca
+bbacabaacccbcbaababacc
+abcaaaabaccbccacbccbccabbbaabcbbbabcacababcabacaababacbabaacabbbbaaacccaa
+cccccbbabbcbbbbabbcbabbbacaacababbbcbccbcbacbabccccbbabbaaccbccccccbaabcbabcbaabcca
+acbcccccccbaccbbbcbbbcabcaccbacaacbacccbcbccccbabaabcaaab
+acbbccbacaabaaaccabbbaccccbcacbbcabcabaabbbbabcacabbccccabcbcbaaaaacbacbacc
+bbcabbbbacabbaccbbbacaabcbccbabacbcbbabcccabbcbbccbbaacaccaccacaccccacabbcaba
+cabaacabcabbcabbccbcbabaacacbbaaccbbcabcccababacbbbbbbabcbaccaaaabbbbbbaacaacbcbcacbcabbacacabcacacc
+caacbcaccbabcbabbcbbcbbccaccccbcccabbabcbaaaacbaaccbbbcabaacbca
+cccaabccbcbcabbbcababcaacbcbabbcabacacbccbaab
+cbbbcbabaccbbaacbcababaaaaaccaacbbacbcbcccbcababaacccbbbacbbcaaccbaaa
+cccbacbcbacaccabcabbccccbcbbbacbccaccbacabcaccbbababcbcacbcaccabcabbabcabcacbaaccaaaabccc
+cccabcacbbaacb
+cbcccabbacabcccacac
+aababaabccacbaabababcacbaaabbaaccabbccaabacaccaabacbaacbabbabcbbccbbcacccabababaaabbabcacabccbc
+aacabababccbacbaaaabbbabacbacbaaacacbcac
+acacbccbbcaacaacbbabbacbaabaaabbbcacbaabbabbbcaacccaabccacbbbcabbbbacabcaacaccbccccacbab
+cbccaccabacabccabbbabccbcbabaaacaaaccccbacaccbbcaaabcbaaab
+aabbbbbabacccac
+caccbaabcbaabcaaccabccccbbcbaccaabbabcacccabacbbaccacccbbbcbbaaabcccccacbaabbbacbbbcaaabbcccbcbcba
+abbccbbcbaccccbbc
+accaccbbbabbcccbcabcaaaccbccbbbbabcccccbbbbbcbcacbcabaccbcbbccccbbbabbacacbabaacab
+baabacabccccccbccbcabaabbccabcabbcbaaaaabccbbcaaa
+bbacaccbaabcabacbcccacabcccacbcbacccbabbbbbbcaabacabcabbbbbbcbabcaacccacbbabaabbbacccccaccc
+cbaaacaabcabcbbcabbcacbccbcbcacaabbbbcbbcbbcbacbbacacbbbaabacccbbcccbccbab
+ccbbcbaabcbabacabcbcbccaacccabbcbaacabcaabccabcbbabbababbaccbbbcbcabccbbaababbcccbbcacaacbacbbcbccaaaca
+bccccaacbacbcacacabbbabbcaaccbacccccabcbcaacbbcbabcaaaacaccacacbaaacbccaababcaabbbcbccaccccaccabcccabaaaa
+aababcbcbcacbabc
+acbacbabbbccbabaacbabacccacaaabcab
+acaccaaaaacacbaaacbcbbbabaacacbcb
+ccabcaccbabcccaabbbbacabbabbccabbcacccabcbcabacccbbbbcbbcabcccbaaabaaacccacbc
+ccaabacbbccccbbaaababaabaaacc
+accabbcbccaccaaccacaccaabbacbcbbcababcbaaaabbcabbccbacaacaaaacbcbccacccccbccccbbbcacbaacaababacaab
+acacbbccbaabacbccaa
+bbbaacbacacbcccaabaaacaaacccbacacbbaaacaabcabbacacbcaabbcacaaacacbccbbacaaaacaabbacab
+acbccaccccbccbbaaccbaabbacccacabbaccbcacccbcaacabcaaccabaabcccbabaabbbbbaaacaccbbcccbacaccc
+bcccccaacbcbabbbbaccbacabbaacaacbaaabbbacacbaacca
+cbbbabbaacacbcbcbacaca
+bcbaabacaccbbcabbaaabbacababbcabbcbbcabaaabcbbbbaccbbcacabbcbacaaccbccababcabbacbabcbcacccbccc
+abccacaccabbcccbbcbacabababacccbcbbbaaabaabcbccbcabccccacacbcccbcbcccbbcacabcaaab
+cbacbbcacbbcbabbccbccabbacaccccc
+cabbbbcbcbcaaacaccbbccacbbabaaaaacaaacaccccccabbababaaaca
+ababbcbbbbcabacca
+baaacccccbabbbcbcabbaabacaabbbacbaabcbcbcaccacbaabcaacccbbacacab
+cbcaccabbbbabcabaccbaaacbcccaabbbccbccccbacbaabbba
+cbbbbabaabaabbcacbcbbbcccabbcacbaacacbaacaaaabcbcacacaaaacabcaabbbabacbb
+baababcacacccbaaabacabbbcbabaaabccbbaabccbaaabbaabbabcbbabcbbbccaabaacacbbaccbacbccaacaba
+cbcbbbcbacacacbbcabbcbaacaabaccbbccb
+abcaaacbbcbccabbcbccabaacaaaabacacbbacacabccabcbb
+abcabccaacbbcaaaccacbccbcab
+baaaaabbbcacabacaabbcabcacaaaabbbcbbcbacaaababbcaccbbabbcccaaaaaacbcbacabbbabbbaba
+cccababaacbbbaacabacacabaacacbcabbacbcbcbbaccbcbaaacaccaabc
+ccaccbcbcbacbbaabacabcacbcaabbbbcbbcccccbcccbacbaaabbacccbbaacbacccbcababbbbb
+cccbacabcbcbcaccacbcbcccbbaabbcacbbacbbabcccccbbaccbbb
+abaacbbcacaacacbbaacacbcbaaaaccbaaccabababc
+aaabbbcaabcababcbccaabaccbabbbacbccbaccabaababccbaabbacaabbbaaccabaaaacabccacbaacbaababbaacabaaccccacbccbc
+bbacbaacbcccabbbcabaacaaccaabacbbaabbcbbabbbacbccccaaccaacaccccccaccb
+baccbbabcbcbcbcacacbacccbbcba
+aaaaabcbbbcaaabababbcabbacbbccbccacacbabcbaacbcaabccaacccacbabccbbcbbbbabaacbbaacbbcaccacc
+cbcbbbbabcccacabababbbccbabacabcbbacabaabaacabaacbaaaaaccaacbccbaacbbbcbc
+aabbaababbcbaacacabccabbcbcaacbbbbbccbbababbcbaccbabbbcbabaaaabcabbaaacabab
+acbacababbbabacaaacbaabbbbbbcacbbbbcbbccbbcccbacaabcaaaabaabccabcabcabacacaccabbababcbaaaabcaa
+cbccccacccbccbaaabbcccbcbbaaabcbbacccabaabbaabaacacacabaaacbbaaabacccbcabaabbbacbccacccaacacacabbccbccaa
+cbbaacbcccaacbbaaaacaacccabbcabbccbabababbccbacabbcabbbbcccacbabcacacacbcccccbcc
+cccaaccbbcbaacbccccaaccacbcbacacbaccbaccccbbcb
+caaacaccbaccccaabaaabacaabcaabaacbcccbbacacbbaabbaabcbabbca
+aabbaacbbbababbcaaabcaabcbbccaabcabcbacacabcbcccaabbbbbaacbcaccaacaaaac
+abbbcbbacaccabcacaccbcacabacaacbbcaabbca
+caabccaccaabacccbabbbcaaaaccbabaaaccaabcabaccbcbaacbacccabbbbaaaacbbacaabbaabcbcbabccabccabcccbbaccccaac
+abaabbcbaaacacaabbcbcbcaaaabababcacbbbcaabbbbbabbbcbcaabbbcbaaacacbabbcbbabbbabbcccbbacaabbcabaab
+cbbbacbbbcacccaabcbcabbbcccbababacacbbacb
+ccacaaacacbbbbaacacbabcbcaaaabcabbcbbacacabbaaccbacbacbbbcaaaaabcaccacabbcbacababcacbacaabcbbbbaccccb
+accbbbcccbbbbcbbbbcacbbcbbbbaaaacccccabcbbaccababacaacbababcccabacbccbbbcbbbcbbbaacaaaabaaacbab
+bbbcaccccaabcbbaabababc
+abbacccabbabbbbaccbbcabcabcaccacbbcaababbaabaabcacbbbbcbbbbcbcbcbbacba
+aaabaabaabcbabaaacababbbcbaaccbbbcbabbccbbabccabbccacaacbcbcbacaacbabbccbabbbbbabcaaaccbabcacb
+bcbbabccaabbcccaacbccaabbabcccbaabcbaccaaab
+aabbbbcbccbcbababbcaaaabbccaaaccccbbccaccbbccaaababbccaacbbbbaacbbacbcacaacbabcbcbcbcbbbacaccabccccacbab
+babcbbccbcbbabbcbcccaacaabcaabcbc
+cbabcbabcabacbbbcbbcbbbabaababccccbbabcbabcbaacbaaabccaaaaccaaaacbabccccaaabcacaabbcbbcbaaabcccbbbbbb
+bbabcabbbaaacbccbcacabcbaaaacbbabccabcaaccbcbcabacbacbcbababb
+bbbabccababbbcbbcbbbcaaaabbccbbbaaabbabbabcabbcca
+cbcbaacabcbacbcabbbbcaaaabbbbccaccbaaccbbbaccbaaaaccacbcaabbbcbbababcbabcbbcbabccacccbbbca
+acabaabaabccbbcabbbacaacccababbcaabcbbaba
+bbcaccccaccbbbaccbbaaacbbbaaabccbcbcbbccbbcbbaccbababaabbcccbbccbbbbcabccccaaaacbbbaab
+accaacacabaa
+acacbabbbcabbbbaccbacbcacbbbcbcabccacbbbbbb
+cbbbcbccbacccaabbaacbcccacacabaabaaaacbbabbacabaaaaccacbccbbbacbcbbcbaaac
+baaabacacabbaa
+cbcbccbbbbacccaabaccbcaabaaaa
+bcbaaaccbabacbccaacbacacacbcabbaaabbaccacacccabcbaabaacabacbbbbacbccbbaaccbbbccbbbcabbaa
+aaaabcccbaccaaacbbcbbccaccbcaababcbcbbcbacabbaacbcbbccacaacaccbbcbaaabcccbcabbbbcaaaaaaacaba
+aabbbcccbbaababaacabaaabccaaabcacbcaababbcacabaabcbabbbcabbbbcabcbbcabbaccaacccbbcbaaacbaaabbbac
+accccbabbaacbcabcabbcacccccccaabccaccaaaccbcbbbaaccbcabbcababcbcacbcbaccbbcbacabaabcccbbcacbbcbbaccaca
+ccccaacaabcbbbbbcaaaabacaaabcaaaccbcaccbbabccbbababcbaaacbbccbcabcbbcaccbacbaaabbbacccbabca
+cacabcabaaaaacabccccabbaccccccbbbcaababaacbbcabbcabcbccbabbaacccbbba
+cbbaaaacbcacaaccaaabbccbcabaabbcbbcbbbabbcabcbbbabbaabbbcababaabcaabbcbbacbccababbbbbbccabaabbbcb
+cccbabacaccccaacaacccbbcaaabaacbabcbbcccbbbcbaaacbcacccccacaaabccabca
+41 9
+cbaddbabdbaadbbaaaccabaacddabddbdaab
+bbdcbdccaaacacccadababbccdaacdbcadacbcccabddbabbdabdcadcddbbadcbbadbabdddbbadababdcababcbbcddbabbcabbcaad
+badccbbbcbbbadadcddbdadabacacaaaaaddadcdbadddbadadccbabccdaccd
+abdbcbadbddadacabaabaacddadcccdabdbdcbddbacbdbbdadaccccddddadbabcdccbcbcdaabdccacadabccaadddbdaddbd
+cbdbcabcdcbbdbdcadcaabdbccbdcbdaabaacdcacacddaccbdcaabdcbadaddadc
+dbabbcddaddcddcdbbdddabddbbdcbddcaccdcaabbccbcca
+cccbbbcbbdacccaccacdbabccbbbaddacadcbdbdbabaabdccbabcdabbaabdadcbadcaccaabccaddcbdcbbacacbbaadbbddccda
+cabdcabdaddcbbacacdccbabcdbddcbacbbbaa
+dbdbbddbcc
+adccbdadbadacabaacbcccbbabbddbcdbbbacacdcbadaaabcdcaaa
+bbadaddaaccabacbccdbdadddabbccabdccaabcdbccbacbaddbcabbdaadbbbddcadbc
+ddcacaacbaadbdbadbaacdadadbbabaadadcbacdbdcbddbdabdababdcdccaddbbddbbabdadcdbccbdaadbdbbabbaaadd
+bdabcbabacdcadaadacadd
+bdbbcabccabdcc
+cddccbdaadcaacdcaadbdcbdcaddcbcccdaccbaabadccbbabddddcbdbbdaddddbcaddcdcdbbdbdababbddcaadadbabaaccbdbbabcaa
+aabcccdbcaacacddbbddadcbbbbabdcdbcdbbccadbdaadbacdbddcacaddadadaddccbaccbcdddbaddcbccdadcabacadbaadbdddabc
+dccdbbbdcbccbdacdbcadaacddcbdacacaddddbdabbabccdbdccaacccacccccadbbbcdcdcbddbbacacbcaadbdad
+cdbadacddcdaaadcabaaacbdbbdbbcbdccabdb
+cbbcaddbdccccdbaccabbdbdccdcbbbdabdcbbbdbdabddcbbcdbaccbdbbdbcacddbac
+cabdbccccadbbddaaacbdddcdbadaababbbadacccb
+cabbcbcbbbddcacbcaddabdacaddaccacacbddcadadbbdccbbbbdcabbbcdcbcab
+dbdbbcccbddbbbdaacbaaacdcdacacccbabbadadcacbaaabdbdbdabcaaaabbdb
+aaadacccbddacbdccabcacbbaddaccdbbddabbdcbdbabaadaacadccbabccdbcbbabbaaccbdbaddcaddcbdbabadcddbdddadbaadcdb
+bcbcbddddadddabccbbdabaacdbadabbcadbcccabadcbbccbaddcccabdcbbdcaddbaabdaccbccabbddabbadbbda
+cddaadcdabdabacbcdbcdaaabadabccbcbddcacbdcbcaaaaccbdcbcbbccbaddaacbababdbbdabbccbbddcaadaabbbabda
+aaddbddbbddbbdcbbaaaaadaabbacccaaaaaadaadacbdddbdcadcbbbccabadcbcb
+acdbbccabdddcbbcaabadcbbbc
+adaadcccadcaaaadc
+dcbcdabcdbbdddbadcbcadabdcccdcaccbac
+cddbdcccbdaccaadacbdababadddbaadcacdacdccddabcccdccababbdabcdccbdcbcbcbbddacccacaaaaaccbabadcac
+bcabababcbaccccbadadcdcdaabbbbbdaaababcdbdccbadadbddcaadcbbcaacadbaabbacadacacbcddadaacadcadbddabbdc
+babdaaaabbdbabdcbbaddbadbabbadcdb
+cbccddcbcaacdacccbbbcbcdacbcaaadbcdcdadcdacbcdddcbcbcaabdaddcadccddbbcadacaaadca
+addddabdbcabbacbcdcaccbdbabcdcdddaddcdcabbdaadacbbbdadddcdbcadaabadcdbdcdd
+bacdbcddaddbacbaddbaccddddcbaacbcdcdbcdabba
+acdbadcabbbaddcdbbaaacbcddbcad
+abdcdcacbabdddcbcdcacdccbdbaacbddadadcdccbabddbbaabcbbdadbbddddcbdbbdcbacadcbdbdaddacbccdcccbc
+ddcccacbccacbdcddddbdadbbccabdbccacdabbccdcccddcadacbdabcadbadacbcbdccdcaccbcbcbcddcc
+cdcadaddabbadaccbaccbcdabaabcacbbbdacbddddbdaaacccbdbbacddbbdaaacbacbcdcbbbaacdcbadadcdbbbcddacdcddaddcac
+cdcdaabccadaccbccdadaacacccbbaaadbdcacbcacbcaabbbdcabddadbcadabdbbccdbbaddbadbbbb
+cbbddabbccbddbdbacccaccbcaacbdbbadcbabdbdbddbadabadbcdcbdaccddbdcbdcdbdadcbacdacbcbdcdabd
+258 170
+cdabdbadbbcbbcbacdaaacbccaacadaddcbabbacd
+cabdaacabadbdbcadbcbccdddbbcababdcbaddddbabaddbbcddadbbb
+aacbbddddddcaaabacacbcdbaaabcdcacccaadcc
+aaaabacccdbaacbaadbadbbcccbbbdcabdacbcaadbdcccbdccaabbadcbccaacadbaaaaaaacababcabbacabbbcbcacdcddddadaccab
+dcdaaaccabaddadcabcdbaaaacb
+bcddadadcaaadbdddbdadccaaabbaaaaddaab
+cccbcabdbcaddabdbbbcbdbabbbccccbcaaacdabadadcdaba
+baaddabdcaabababcbdbacdbbcdcacbdacccabdaddbdacccbcccddb
+cbdacbbcddacdccbaacabacdbbbbdbdddabdbcdbddddcdaadabcaadbabdbacbccaacadbbbcabcdbc
+aadccccbdbdabacbdbcdaccbcdbccbdbcbddbbcaacdcabbacbbbaccbbcbcacbbabcbcbaaccbcdcdcbdbdbdcab
+cacabbaaaddcbadbcbdd
+acadcacbcaacabcaaddcba
+dcbadbdcdbbbccabdadddaaccaaaddbbdbdbbdcddddabdacadaddbbdabdabbdbddbbabdcddcbdbdaacaacadbddaadcaaaadcabacbcba
+bcadabbaadbdadacbddcabbbcadaccbbaabdadcdcdacbdcabaa
+aaabccdcccddacbccdaccaadbdcbcdcabcdbdddcdabacbdccbcddabbccddddddcacadaacddadbdadcbcdbbaabaaccdbadacccaaabadb
+cadccccdcaabcccbbdaddcdadbdcacbcbbcdaabddbcbaacdccbcbacabccaaadaaaaaddadcabbdcccdacabdbabbdabdcad
+baabcdcadcabcadbbabcddcddaadabbbbaddacababadaaabcddaccbbbcbccaadacbbbcbabbbdcbacbacadbcacba
+acbcdbbddadabdb
+badbbbdccbaabbcdbcadbbcbabbaadbcbdbacabbc
+adabdbbbbbddbbddadddcacdcdbdaabcbaccaddbbdcccabbdcbbdadcaadcbcaaaddbdcccbcccccbaabdbcaaaaccadbdcccacdca
+bddbccaaababcbadbbabaabbbaaabbbdcbdbabcaddabdcbbbcddcabdcaabbacdcadcadcabdbcddddbbbaa
+baccbbbabcccaddaabacacdcabacadcdcadacbbbbddaacbdacdcadddccadbaccb
+bacccbccddba
+bcbdbbbdccacbcabbaababdacaaacdbccdccadbccabcdadbdababddacdbcdccddbacabcaccbbdaadb
+ddaccbccaabbdbcbaaaddcdabcabcdaccbdbcaddbbdadcdddcccadbdbbbadaacdcbbbdbc
+ccadbbbbccbbababaddddaddbdcabaabbddcddadadaabddcdcb
+dadbccabdbaccacabcabcdcabddddbdbdddacadccdcdacbdccdadc
+cdbcccbcaabccbccadbdccbabbbacaccababaacccdaacabcddbacabcdaaa
+bcdadcdccabcbbcddbbabdbcbddaabaaabbcbadcaccacdddaadacabdbdbcbacacacbbcbdbbcdacccdcadcbcdaaadbbbcacc
+ddacbddcbaadbccaddb
+bdccdcbcacadbdc
+cabccbaabacacbacaccbcdddd
+ccabcdcabddbdbdaadddcbaadccbbabddacbbdabbbacacbcccabccbddbbdbacbacabcdbcadccbcbacddbbdbabd
+dbbbabacadbcaadadacdccaccddacaccbadbaacdcacdccababcbcccabddabbbbcccdadbdcbdaddacbbdabcbcdbdcdcba
+aaadabbcadbaacbaaaaabbaaaacaddddcddcdcabacdaaabbbbbabbdcdbcbccabbabcbbaacacd
+cdcddadddadcadbcadcbdbbbcbcbccadccdcdabddcccdadbcbcabccdabbdc
+dcdbbdddcdabccadcbdbacdbcac
+dddaaacaacdbcddcacbcdacbdcaadcadcddddacccbbaacdcbaaccbaacabdcdcbacdabdacdaadbccaccd
+aacbbacacaacddbacbdacdacadddbbbdbbbabb
+dccbcbbdddacbbdcbabdcddabbdad
+abaccbccacadbbbbbdaacddccbadddcdcacababacbd
+caadccddacaabbaddcacdabbbbdacdbccdccdcdcbbcdbacbcadbddcbdcab
+dacadbdddcaddaadbbbbbcbbbcacabddbcdaaacbacdddddaacccccbadaa
+abbbccccdbacdcbbdbadbbaacbacaccbbdbaddadcbdaaabba
+bcdacdddccdbbbdbcdccabdaccbccbabbddccbccabccbbddaacdcbcdcbadcb
+cdcddbddacbbdbabbcadbdabcbddbbcabbdcdccaaccdd
+cadcaacbababadbcbacdba
+adcbacaaac
+cdccbcbdddbbccbdbcadbcaaadbdbcadccabc
+adbdddcbbacdbadbcadaaaaadcbacddbacbacca
+cbdbdbabacbbacabdaddaaaccbadbadbbaabababcdcdaaadccddabbabddbcaabdcbaa
+dbadbdbacdcabaccabddaadbbcabbdbccbaabddccbbdacbabcbabdaabadddbbbbaadacbcda
+ddcabbbbbdcabdccbcd
+acdbababbabbdcbdabbcbabdbaacaccadb
+cbadacaacccadcacdccbdaabbdbadcdaddacdaddcbbddacdaaabaccdca
+dabbcacaadbcddbadca
+abaacadacaacccccdacaabdddabdcabddabcddcbdddbcbcddacdbcdadbdadbdaacaddcbaadaddccdaacbbdcdaaaa
+bcbccacccdcccbcababdbbdbacbacacbbabadbdcdcdacdaacbaddbdcdddabcadcbccdbadadacccdc
+cdcdbbacccaccdbacbcbcddcaaaddbcccddddcbbbdaacaadadccdabbd
+dadbbcbabbbadbbcdacbdcabdaaadccdcbbbbbcbd
+cdabbaaabdbaddcbdbccbcdcbcddaddbbdd
+cbcacbabccccbdaadddcababadbbbabbabbdc
+bcaabbdacdcdbcacdcabddbcdcabcbbdaababacdcdccadddc
+abbbaadaacabdddbcbbdcddacddccaabcbbbdadbdcbbaccbbaaddcccbaaacbbaacccabddbcab
+bbddccaacbcccbabbbabcababdddbbdbdca
+cbaadabbbcccbbcbccadacbcbbdbaacbacabcdcdbdcdbbaaaabbddbbcaaddbddaddbdcbbadaabc
+bcdbdcaabdcbadddccabcaab
+abbbaabbcddbbcacbdbdbaabacbcccbdcddddabdbbdccbdaaabcdddbabdabbddcdccaaababbcbaaacddcaaac
+dbbbadbabcdcab
+babcacababcdcabdcccbaacadbdaadbbdbddbacdbbccbaddbccbdbaaccb
+bdbabddbabcbaaadcdbcaaadbbaddaddcbabbddcacdccadcdddbcdbabaacdccbddbcdbaabcbcbdadbcdcdbcaadddbbcddaccddcbacba
+dbcddaaadbdabbbdddaadabdaaaabbadcbadcbacbcdbcabdcdcbbbadabaccacadbadbacaabdddadcabdcd
+dcdcccbbddaacabdcdaccddbdbabdbdccaacbdaddcbadabbacbcccdbaadaaccddbccacbdcdcbcdacdbcbcddbbaa
+bcddbcadcbaacaddbdddadcdbccdabadaa
+badcdcaaaaccdbaaccbccacaddbaaccabdbdbddbabbabbb
+cddddccbbaacaabcbbadcdcdbcc
+bdbbdbabcdcdacbaaacdaaacdbbbdcccdbcccaacbbdabbdbdacbcbbccdddacbacbcabb
+ababcdbdcccdabccddcdbaacabbbddbadccdbacdcabddcabadbccbcb
+cccbcddacacadbccbabdaddacbdbcbccacdcacbccadcbbbaaacdcdaccabcdcababbbcdaddbaaacddaabaabdbdddacc
+cadbbdcbcacdbacbbccabbdcadcdadbbcbaacdababbcacabcadccbadcbcaacbacdadbbbbbbbcccbcccbdbbaaadaaadcd
+cadcaababcccccadbcdacabbcabdcdadcbcbaccacddcdbbbcbddabcbbddad
+bccdabcdbcacadabacccabddddcdacbaddddabbbbdaacbdcacbccb
+cdddadbbbbabaaaaddcacbbbbcdcdcdbcacdacabdbcbabcaabdccbdcdcddbacbcbdcabbbaccbbccddacbaa
+abcddaacdcdbdccaacdcabbbbbcddbbbcbacbbdbdcccacddaadddcadbdaddbcabbddddaadacdacabbddaacadbdccbdd
+aaacdbdcccdcbddcbbaadacbddbabddbabaaabddbaacabcbbadbdbcbdacbccdbdcbdcddaabaccaadbbcadcbddbdacd
+bacabdbdbbbbacacacaddcdbbccabbddccadabdcbbbaabbabaaccacadc
+abcaccabcabccdadbddaaddadcbaddabacbbdbddccadacaddac
+cdccabadbdbcacdddacdbbcbbddcddaaadccdacdadbbdabacddcacdddbabcbddbccdaaadcdbbabadbadbdcdbbc
+adddababcdccabacdcbccbabbabdccdacbdcbaacbbaaaacdabadb
+bbdddcaacbdbabaadcbabbdabadddcabcbabbc
+cabcdabdaadbbbcaadcacabaddcdadbaaacdbadaabcbacddbcbddcaa
+abcdaadbcabcadaaabdaabaaabdbbdadaadcddbbcacdcb
+bdbbdcddadcddcabddccaaddcdddcdabacccaccabcccbdcbacacbaabaaadaccdcaba
+bbbddaccbcababaabbcabacbdabaadaabadd
+caacbcddcbaadcdbbdacbccbcbcaccdbadaddacadcbaaaddbbbbb
+cdadcdddacadadccbadcbacaaaacacabdaabacbabbcbadbddbaddaacaabaaadccccacbacabaddbadbaddbcbbacbcccbddcacbacc
+abccadbbbaacddadccddbbdabcbddbaabaa
+bcdddbcdcacdcdbaad
+dccccacdcbbcadcaacabbdddcabcaaaccdcbaadabadbcdbaabbccbdacbcddbbdccacbdcacbcbbdbbbdbbdcacdddbaacdcddaccdd
+bdbbacdcbbcbdcdbccadcabccacbbcdbcdadaabbcdaccaccbbcbddccdacabcddbcadbbbabcbbccd
+cdbdccaabdcbbbbdbcbddabcdccdccacaccbdbdddbbcdbadccbabcbcaaddbabbdabddbdbccaccdbbaadacaabcbabbdbdacbbbddcda
+aacabbcdbcdbadcbcdbbddbac
+adadddbbbcbdaddbbcbcd
+dbaddaaabbaabacacbbdccaadacbdcddadddaddabdddad
+dbccdabacbaaccdbdddccdcbcbdababacddbbdcbccbbbadabccdaaddbbbaccbcbddaabdcbdcdbab
+bcaaccbabbcbdadcbacdbdbc
+caacddacaabbbbcdbabddaabbcbcbbcdaccdbbababbbdddddabbaaddadd
+ccddabbddbbabbdcbcbaaabc
+bdadbddacacdcbacccdabcddbaabcdcccdddbbaaabbdd
+accdcdbbadcbddcccaadcbdaddbdccadabcaabdcadcaabbddddabbdccddbbcbddabadc
+cbbaacabaddcbadadaadddbbabdbadbcacabcbabcbcbcddccba
+cbdbdbdcdbcbcacdbbbaddccbdbcabdbdccadccbccccbddbccbcbbacdaabd
+ddaabddaddbcbdabbbcbdabaddcbdaccdab
+ddbaaacbadcdbcdbbbdcdbaddaccacdbcdbcbddacadaabcbbc
+cdddacbbbacbdcdbacdaaaacbadaddbdcbabcccaabddbcbad
+bdacacbdadbaabcbdcbbdabddadacabcdabccaccdcacddcaddcddcbccdcdabdadbcbbddaacbacbbddbdadbdabcadbcdcaabcdaacbcbdc
+cbadaadaddddaabacadaacddadaaddcadddccadaac
+dcbbbcdababccacacccdacbcaaccbcacbdbdaadcdadcbaacbbcdddaaccaabaccaadadddbabcbbbabbcdbcbd
+adccbacacddcddddbdbbdabdbbaccbacddcbdabcabbbbbbcccacacabbadddabbdcccbabbdcab
+cdddbddacadaaddcbbccdaadbcaababadacddcadbaacb
+cbbbbcdaabbbcccabdbcdaddaddadddaacabddbabadacdadbccadaaccdddbbcbdadddcdd
+acabbdacbbccdac
+cabbbabcadbcaabddbdadacdcbcbbcdaddcdaadbbcbbccaabbcdbbddbbdbbdbdbacccdac
+cbdcaadbadbcdcddadbccdccccabaaddbaabadbbbaacaabacbd
+dabbbcaacdadaadcbbacacdcbabadbcddcdcbacaabdcbccaabccbdcddccb
+acaaacbaddcdaddcaccacbdccbcbdccabbbdcaaadbddddadbabaaaddaddbbac
+bccdabbdcadacbadcbaabbdbccadbbbbbbccdbaddcaccbbcddbdabdadbcbaaacbbddcbbc
+cdbbdabcdbbbbbbabbababadaadadadbdbcbdcbabbdddddaacbaababbc
+acaaddabdbddcabcabcbdacbbdbaadccaacdddcabdaadcccccbdbbdcbdcbbc
+acccdbcdbdadbabcdcabacdbccbadababdbbcac
+adcdcbdcbdadddadacdaaaadccabcbbddcbdbbccbcbbabbaddbbdacbcdb
+dcdacbdbacddcbcadbcadddcddaccbdcdbbbaccadabcaccccdbadacbaaccccddaabdccdcaacbcadcacadaddccaabcaa
+adacadbdcdcacaacccdbdbdaddbbabaaadbaaabdddbcdaaaacabcdbdcb
+cccdccaccdcbcdbccdd
+abccabdcadbdbaaaacabcdbbdadabcddbbdbbcaaacbcbccadadcaacadacbadcdcdacac
+bddaadaddcbadcbddddda
+bbdddcabdbddcbddadaaaaaabdbbcaadbbbdcaddabaabbacbddbdaaabaabdd
+ddaddbccbacaadbbdccadaaaabbcababaacdbadabccdcbaacddcbddcabaabdcadcdbbcaadabbcaccaabaadacbddcbdcbbadb
+cbdbaaccabddbbbcaacaccaaaaacacbcdaacdadcbbbddbccbdddcddaadbabbcdbbcccbacd
+adccbaccbdcdabddcdcbbdaaacdbddbdccccdcadaacbcdbdcadadbdbcabd
+abaddcdbddcbdbdbddadddadccddbdbcabdabcacbcaaabadcccaddbaacaaadadaacabba
+bddbacbbccdbaaaccbaaddbabdddbcabcadccddadccbcabbddbcaaaccdcbdbbddccbddccacdddbaccbacaccdacddcdadcadccdabcdc
+cdbdcbbaaddadabcdccdbdababcacdbabbdbddaaddbcbdaaddacdccaaa
+dacaccacacbbbcbcacccbbddadbdaaabaacbbbdbbdcaaabbaaabaacbcbccbcddad
+cbbbdcbbcbdbdabdbaaaacdbbcdbbdcadccdcdbcbabbababaccbbcccbcadcdababcdbcccdcdacaabddbbccaabddcdbcac
+bbaddaabbadbaabaacbbadaddacaadadbabcbddbbdcbbacdbbbcbabba
+cabddbadbabbadb
+aaccadcaaabdaabacdaccbdaddabcccddbaaddbcdcabaaddbdab
+cdaccbacabccaaaaaddbbdbcac
+adbbdbbddcad
+cddcdbbbdacbdbcbccbaabbbdcbada
+aadbacbbdcbdbabcccbdcdcdaacabcaaaacdcdcbccbbcdaadddb
+abcbcdbddadbadabdadabcbcbcaddacabdacddcbdcdaa
+bcdcaaddddcbc
+bdbcdcdbbdbdadcbcaddabbcccdaabaabbddbccbddbddbdadbbcb
+bdcbacbadcacdbbabdbcbcaaabbaccbdacacccbdcaaaacdbdbdbcddadcaabadbbdcaacadabcaabcdda
+bcbacccaaabcbcddbdaddbcccdccdcbbaadaaabcaaaacabaabdcdcccbbacbcaccadccbdacbdcccaddad
+aaaadcbcadddcdddbaccc
+cddcdbcacdbcdaacbcbcbadcabdcdcabbdbba
+ccddcdaddbbacbcabadbdaaadaacabdc
+cbccddbadcccababaacbdbcdbcacaccdcabbcdbcacddcbdcddda
+abcbcccdbbcaddbaaabcaabadacdcbcdddaccadaddccdcdabbbabba
+babadacccaaddcadacbcbab
+cdbccddbadcdbcabdcbcbcabbacccdbdbacbcdabdabdaccdcaabbcccdaaacdacdadbdbbdbabcbacacdcbadccccddbabda
+dbabdbddbbddbb
+bcaddcabaadabcbaaaacbcdabbcdccdbccadcdccaadddbbcaabbbcddcaaddcadcdad
+cabcccbbdaabbdadbcaaabdddddbcaccbabcbccdddbddadacdabadbbddbbaccbaadcddbcaddcdaccabbbbacabcbbbcadaddbabbb
+cdaabbbabccdbababbbdcbadbcddacaadcacccd
+badbbdcbcbccddabdbacabbddacacbcacccbaddbccbbbabcbcbbabdddcbbbddabdadbabaddcabcacdcabcababbbdacaabbbcd
+dccccabdaaaaaddcbadabcaabdccddacbadadbdddda
+cdaadcadbbabaaddccdccdbcccaddbdcbcdcdbdbbaccdbdadabdbdaabccbc
+aabaaabcadddaaadacdbbcdabdbdccdabdddcbbbbabbdaccbbcacabbccbcbdbbab
+cbccabdadbdbbbadccdbbaacbdacbabaddddcadcacdaccbdcacaabacadcdaadacaaacdacbdbbaaacbbbbbcdd
+abbdbbcdbbdcbcb
+dcabaccbadddbcbdbbabdbadaadaababbbddd
+aadcccdcccccccbdbacbdbadacaccaaccdaaddabcbabbaaddabbacccdbdaacdaabbaadbbaaccccaaccbbbadcaadbcdddaaddcccbddaa
+cbcbcacdcddcddacaaadaaacadacacacddbcacdbdbabacdbbabaabdacdaddcaaaacacdcabacdbdaaaaabcaaaadcddbccdbbbaaabd
+aaaabdcdcabdaabddbdbbbbabadddbbc
+ccbbadbbbabaadabacadabbaabbdbdbdcbacadddcbcdbabdcacdccabbbccaddbddcbdbabdbdbcd
+ccdcadaabbaaabaadbccacabdabbcccadccdccdcaadaaaacdacadbdbcbbcaadddcbcadabaabbda
+cacbbbadcccdbddcdbdddaddccdbcacbcaccaddcdbdbabcddcbdcbadbcdbdacababdabccccdadbccad
+acbcaadbabbdbabcbadcaddbaacbadbaa
+cccdbcdbdaacabdbbbdadbadadbccadddcdcacdacabdbdbdcbbacbbbacbd
+ddcabbbdacaabacdbacdcadabadacadddabaaacabccdcaccbcbc
+dbdbccaacabadcbdbacdddbacbacbdccdbdccaababaadbccaadabbbbbdacdd
+bacaaddddaabcdacacccadddcbaadbbddaccccaacadbcbabcbdbacbcacdbaddccccccaacaca
+cdcdcabdcaddbaaa
+cbbacbddcadcadadcdadabcdddaabaadadbddcadbdacadb
+ccbacccabbdccaccbcacbddadbaddabaabcbcbbcdaccbcabbcccbc
+dccabcdabbbcadbdbd
+abdaacabbadbdcadabcdaddcbcaacdcccdbbdabaaacdbccaadcaadddbcacaabaccddcccdbddccbcababcbcbdccbbcdbadbdcacacaddb
+acdbdabdadbdbabaaccaccbadaaadacdbccbacbbadadacdadaccbcddbdabdbddddaaddbabdddcbacaad
+dcdadabccadbddbadbcddbaadcbdccadcbaabdcccaddcabcdcbcdadcabbdbddcbbabacabbcabcabc
+dcaabcbddcbbaaabaaaccbcbccacddcdaacddbbdaabdbbddabdbbadcdabdbccacabdbbcacabaccbbadaccadacbdccccddbacaaabccdbb
+dbbbbddaaddbbbbbbbaddcbdadbaccdddd
+aadadaabcdaabbdbacbcbbccbac
+bdccbcddcbcbcaaaadbdcaacabbaccdabbacaaddacadbabcdddbac
+cdbbcdacdbccccddddcccbdccddbcacbddabbadccccddbaabccaccccbcdcaacdbbdbbcabdbccdbaba
+adbbdcddacdadaaddbadcaddbacbdaddcbdabdddbacadddcbcabb
+caabbadbbacacdabaccbddcdadaddbccacbddbaadaddaccdababccdddcaddbacbacddcdddccda
+daccadaaaaacdcaadddbbddbddacbccbdaddcccdcbaaccdbbdccdacdbcdddcccdadaaddacbcdacaa
+acdbdcaccbccadaaabcacbc
+dadcdcdaabbaddbbbaabadccdbdbccaaccccdbbdddbdcdbb
+acabddaaaabbcbabdcabbacabddadd
+bdbabdbbdcd
+bbacdbaccbcbcaadbaadbdaccdcddcdbbddbcdcddcaabcbdbdadabd
+bbdcabccbabccbaaaacdcc
+bdbbdcaaaabaacbabaddbaccabcabacddcacbdadcad
+bbbaadcabadddcaaddbbdccbdaabcbdcdcaabcadbcdbcbcbdcbcbaadadccaaabcabbbdbddcddadcaaadddcaadbdddbcddd
+dccccbdbaddbdabcaccdbad
+cbcdbcaddcdc
+cacbcaababbdadaabaacaaddba
+bbbdabdbdcccdcbdbbcdacabbbdbdcbbcddddccdbddbbabbacccccbacdcccbcdcb
+cbdacddaaadcaacddcadbabaabcdbdcbcabddcccbabbcabcdccbbccdbadcdbdddbdbddaddcccaadbabbdcbaacbccdadbb
+cdacbabbaaadacbabbaacbaddadbcdaddbbccaadbbcdbcccacdabcbabbcbbcabbdcbcaabdabbbbbadcccdcddbdadcbcdaab
+babcddacdcdaacbcdabbcddbddcbdbcccaddabccacabbcabadbcbaccbbdbcbabdabd
+ddacbbaccaaadbcdabbcadddbddccbbcbabcacadaaddabccaaddbbabbbbadbadabcc
+dcdcadbcddabadaabccdbadcbccdcbbaadcdaacdcabddacadcdadd
+aaddccacdabdacacbccacabbacdaaccccb
+dcdbbacdbabcaabbdbddaad
+cadcaccadaacabcddabdddbdbbcbaabbbbcccccdaddbccadcadadad
+dcacbaddaacbbdcbdccdaabdabbbaaccbcbaaaddbadbcbacaacabcbadbbadcbcabbabcddabbcadcbcbc
+adadacbadcdbd
+dccaaddcddada
+bcdaadbbccdc
+abbcbcddcbc
+dadabaddaccccdcacdbccbddbbaacdadccbbadacdabddbabad
+bbddbbddcacbdddbbdccdcbbcdddbcbbbddadbacdcdbaaddcccdcbccabddabccbdcaddabaaddccbddadcacbcaaaacacd
+dcbddcdbddcccb
+adacabaddcbbcacacdccddcdababdacccbcbddacadbabaaaadaaaaacbcdddbaadbdddacbcbac
+adcdaadccbddacbaaacaacacdaadaaadaabcdddacbccbdcddcbcdaaabadbcdadbcbbaccd
+cccaaadcbccabdcabbababcbdcbadcbccabcaaaccddacbcaaabdbdccbababcbdabcabbb
+cbaccbcabcdbadbdcacdadddddbdcbbcbacabbcbaadcdbddcdcddbcadddda
+acbbcabccdcddbadbacacbccbcdbbdddaadccabaabddccaacdcdbbadbdddbba
+dbddddadabbdaabbbcacacdbcbdddcadccbbcdbadadbbdbddbcabacdbcacadddbdcacdcbbcdbddccdcddabacbabcdadabcbdcabdcdcc
+aacbccdccddcabbdbdadacddaabbdaadacaaccababcabdabdddaaccbabaaaadab
+abcdbccabadcbcdddbdabcbbcdd
+cbadddcadacdbcdbbccddbaaaccaacdbdabdcdbbbddccbaddaadcabbbabcdcabddabbbcabbdbbcbabdaabbcbcadbbdaa
+dabdcdbccdccdcbabaacdbdcbcdccaddcbaddccbcdaddcccadaaabaddccddbbab
+dccaccbdacbbbabdcbcbccabcddbbbddaccacaadbbcadcddbbccbacccbbdabdaad
+abbbcdacacaccbbcacdbdbbaaccddbbbdabaccdcaaaa
+cdbbccbabaccababcbaaacbdbabcdbd
+badcacbaddcbadddcabdabcaacaddadddddddaccabddcaaaaaaddccbbaddcaccacaccaaddcaaadbdac
+cadbdccdcaddabbbddadbbddabddcabddcbcbbaabcbdbdbbabccdcdddddacdcdcbdc
+bcacabdabaadddcaaaaacbbdcbccbbcaaaacbdbadcbbcdbbdddacbdbcdccccdacbabddcbbadcbacacbcacaaabcbbbc
+cdaaaacccdbcadcdccccacacdaccaccadabcbbdbaabcdaccdcddcbabdaab
+cbbadacbdcdbddcabdcdabaadbaccadccccbdabcdaddbcabaadd
+dacdabdccdadbacbddcaabcccaddcbaaaddc
+bdcadbbccac
+adbbaaabcbdacbbbabdbdaadadaabdbdccdddccdcdbadaccdddddbdcdbbddccbadbdbabbccdccbbacdcddbbbbcbd
+cacdcbbdcdcaddacbabbacdaccabcbabadbaddaadbcddaacbadadbbacdcdcddbbabdaa
+ccdadacdbcbdaddd
+cddacaadaabbabbbbbcddbccdcbddcaddcbbbdbcdbaccdabcbbadbbbcdadaabbacbabcaccbccabbdcdcacbacdddcaaacbbdcdaccd
+caacabdbcaccdddcbacaadabbdbbadbcadbdabcbccdbbbaadaaaadadcbccbddaddbdadbddddccbda
+abbccaadcaccddadcbcbaabbdbbddbbbaaacabadcdaacc
+aacacadccaddbbdaadacaddabcbdcbbcabdcbdbbdbbbdbbbccdbbbacaabdacadadbdbcaacaabdabcccacbbaaabcbbbdcdcccdab
+adcbcbcacbccaddcdbdbabd
+dcdddccbcaaabbdabcddacabdacacdcbbbbbcbddcbabacadbbd
+195 140
+abbbbbabaaaaaaabababa
+bbbaaabababbaabbaabaababbabaabbababaabbbabbbaaababaaaabbbbabbbabababbb
+aaabaabbbbabbbaabbabbaaaaabbabbaa
+bbbbabbbaaaaaabaabbbaabbaababbaaabbbaababaaababaaaababbaaabaabbbaabbbabaaaababbbaaaabbabbabbaabaaabbabaaaab
+babbaabbaaaaabaababbabaabbbbbaaaaabb
+aabaabaaabaabb
+abaabbbabbaaaabbbababbaaabbabaaaabbabaabbbbb
+ababbbbaabbabbbbbababaaabbbabbabaabbabbaaabbaaa
+ababaaabaabbaaabbbaaabbaabbbaaaaaabbbbbaaaaaabbbaaaaababaaaaaa
+bbbaaaabbbbabbbbbbbabababb
+abbbaaaaaaabbababbabbbbababaaabbb
+baaabaabaaaababb
+bbbbaaabbbbbabbbbbabbbbbaababbbbbaaaabbbababbabaaabbaababbaaaabababbbaaaaaaabbabbaaba
+bbabaabbababbabaaaababbaaaababababababaaaaabbaaaabaaabbbbbbbbabbaaabaabbbaaaabaabb
+abbabaaaababbbbbabbabbaabaabaabbbab
+abbbabbabababbabbabbbbbbbbaaababbbaa
+abbaabaaaaaabaabbaaaaaaabaabaaabbbaaabbabbaaaaaaaabbbaaabbaaababbbbaaaaba
+abbaaababbbabaaaa
+abababbabaaaabaaabaaabaabbbababbababaaabbaabbabbbabaabababbaaaaabbb
+bbbabaaaabbbbabbbbbaaaababbabbbaaabbabbbabbabbabbbabbbbbbbbbbabbbbaabaaaaaababaabaababaaa
+babbaaabbbabbbaabbbbbaaaaaabbaabaababbabbabababbbbbabbbbabaababbbaabbbbaabababbbbabbbbaaabbaababaabbbababbaab
+abbbbbabbaabbaaaabaaaabbaababbaaab
+abaaaaabaabbabaaaabaabbbabbbbabbbbbbabbbbaa
+bbbbbaaabababbabbaababaaaabaaaaabbabaaaaababaabbababaababbaaaaaaabbabaa
+bababbabbabbbaabb
+baabbaabaaabbabababbaababababbbababbbabbaaab
+baaaaabbabbbbbbaabbabaabbbbabababaaabaabbabbbbabaabbbbbbaaaaabababbbbabababbabaabaabbbb
+babbbaaababbaabaabaabbbbabaabbbabbbbaabbbaabbaabbbbaaabbaaaabaabbbabbbababbaaabaaaaaaaaabab
+aaaabbabaaaaaaaabaabbbbbaaabbabbbbababbaaabab
+aaaaababbabbbbbaabbaababbbaababbaabababaaabbabbababbabaaabbaa
+aaabbbbbbbbbab
+abaabaaabbaa
+aabaabaababbabaaaababbbab
+aaaaabbbbbaababaabbabaaabaabaabbaaaaabbbbbbaababaabababaaababbbaabaaaaaaaaabab
+aaaabbaabaaab
+aaabbaabba
+aabababbbababbabbbaaaaabb
+aabbabaaaaababbaaabbaabbabbbababbaaaabaabbaaaaaabbbaaababbaaabbbbbabbaaaabbaabbabaaaabaaba
+baabaaaaabbbbaabaaabaabbabbbbbabbaaaabbbbbbaaabbbbbaabaabbbabbabaabbabbbabbbbabababbaab
+abbaaabbaaabbabaabbaaabbabaabaabaabbaaaaba
+baaaabababaaaaaababbaabbbaaaaaababbababababbababbbaabbabababbabaaaabbabaaababbbbaabbbbbaabbab
+ababaaabaabaa
+abbababaaaaaaaabbbbbbbababaabbbabaaabaaabababbaaaaaaaaabaabbaaaabbbbbbabbbbbbbbbababbbabaabbaabaab
+aaabbbaaabbaabaabbbababbbaabbbaabbbbbaabbbbbababaaaabaabaabbbbbbabbbbbbbaaabbbaababbbaabbabaaaaaaabbaaabb
+bababaaaabbababbbababbabbabaabaaabaaabbababbaabbbbaaaabababbaabbbabaaabaabbaabbaa
+aabbbaabbbbabbbbbabaaabbbaaabaaabbababbbababbbabbbabbababaabbaaaaababbaaabababaabbabbaababaaaaabaaabbba
+baababbaaaababaabbbbbbbbaabababb
+aaabbaabbaaababbaa
+bbbabaaaaaaababbabbbabaabababbbabbbbbbbababbbbaaabaababaababaaabaaabbbaababbaababaaabaabaaaaabbbaaab
+bbbbaabbbaaabbaaaaaabbaaababbbbaabaabbabbbbaabbaabbbbbaabbaa
+baaaababaaabaabbaabaabbbabbbaaababbaabaaaaabababaaabbbbabb
+bbbbbbbababbbbbaabbaaaababbbbababb
+baaababaaababbababbaabbaabbabbbaabbabb
+aaabbbbaabbaaaaaaaaaaabbbabbbbbbaaabbaabab
+aabbabbaabbaabaabbaabbabaaabbabbaabbbaaabaabbbabababbbaaabbbaabbbbbabbabbbbaabbbbbab
+bbbbabbbaabaabbabbaabbbbaaabbbaaabaabbabbbbbbabbbbbbbbabbaaaaaabbaabbabbab
+aaabbabaababababaabaaaaaababaaabbbbaaabbaabaaabbbaabbbababaabaabababaabaaabaabbbaababaabaa
+aabbabbabbabaababbabbbbbbbbabbbbbabaa
+baabaaabbbbbbbababbaabbbbbabbbbbababaaaaabababbbbbaabbaaabaaaaaaabaab
+bbbabbbabaaabbbababbaabbbbaaababbbbbbbbbaaaabababaaabbbbbbaabaabaababbaaaaabbbaabaabaaabaabbabb
+aaabaabaabbaabbbabbaaabbbabbbbabbbbbaaaabaabbaaaabbbbaaaabbbabbabaabaabbbaaaaaaabbbbbbabaabbbbbababaa
+baabbababaaaaaaaababbbbbababaaababbaaab
+abbbabbabbabbaabbaaaaaaaabbabbbbbabaababbababbbabbbaabbbbbbabaaabaaaababaa
+abbbaabbaaabbababababbabbabbbbbbabbbaabbabaaabbaaaabbababbababaabaabababbabaabbabba
+aaaaaabbbbaabbbaabbbbbabbaaabbaabaabbbaaabbbbaabbbbaaabb
+aabaaabbbbbbaaaaababa
+bbbbababbabbabbaaabaaabbaaaabaabaaabaaaabbaaababababaabaabbbabbb
+bbaababbaaaabaabbbaababababba
+bababaaabbaabbbabbaaabbababbaaabbbaabaabbbbbbaabbabaaaaabbaaabbbababaaaabbbaababbabaaabbbaaaaabbabbababa
+babbabaaaababaaaaaaababbababbbaaabbaaabbbbabaaaaabbaa
+abaabbbbabbabbbabbbababbaabbaaabbbbbaaaababbaaabbbaabbbbbbaa
+aabbbaababbbaababbaaaabaaabaabbaaabbbaabbbbbbaabbababaabaaabaababaaaaabaaababbaaabbaabbaabaabaaaaba
+bbabbababbaaabaababbabaaaaabbbbaaaaaabbbbabbbbbabbbabbbabbbabaaababaaababbba
+baabaababaaabaabaabaaabbbba
+abbbaaabaaaaaabbaab
+abbbbbababaabaaabbbbaabbaaaababbabbba
+baabababaaaabaababaaaabaabbbaabaaab
+baabbbbbbbaabababbabababaabbbbabbbbaaaaaaaabbbbabbabbaaabbbbbbbbbababaabbaabaaaababbaaaaaab
+abbbabaaabaabaabbbbabaabaaaaaaabbaa
+bbbbaabbbaababbbaabaabbaaabba
+aaaaaabaabaaabbbbbbbabaaababbaabbabaabbaaabbaabaabaaabaaabbaaaaabbaabbbb
+abaabaaaaaaaaaaabbbaabbbbaabbbabaaababbbaaaaababbababaab
+abbaabbbbabbaabbaababbababaaabbbabbaaaaabbaabbbbaabababaaaabaabaaabaaaaaaabaabaaabbbabaaaaaaba
+aaaabaabababaabbabbaababbbbbbababbaaaabbaababbabbbbabbbbbbabbbababaabbaabbaababaababa
+ababbaabbaaabaabbabbbaabb
+bbababbbbabbaabbbbababaaabbbbabbbbabbaaaaaaaaabbaaaaaaababababbaabbbabababbbbbaabbaaa
+bbbbababbbaaaaabaaabaaaaaabaabababbabbaabbaaabab
+aabbbabababbbbabbbababa
+baabbaabaabbbabbbbaabaabbbbbaaababbbabaaabbabbbabbabababbaaa
+baaaaababaababbbbbbbbbbababbbababbabababbbbababbbbbabaaaaaababbbbababbaa
+bbbbabbbbbbbbbabaaabbbaaabaabaabbbabaababbbabbbaaabaababbabbbaabaaaababbaab
+abbbbbababbabbbaabaaaababaabbbb
+bbabbabaabaaababababbbbbaaaabbbbbaababaabbaaababaabbabaababbbbabbbbaaaabaaaaaaabaaaabbbabbb
+abbbbaababbabaabbaba
+babaabaaabbaabababbaabbabbabbabaabbaabaaabb
+bbbabbbabbaabbbbabababbabaaaaabbbbabbabaaaabbbaaaaa
+abaabbabbbbaaababbaba
+abbbabaaabbaabbbbbbabbaaababbabbabaabaa
+ababaabababbabaaaabbabbbbabbaababaaabaaaabbaabaaababaabaababaababbbaabbabaabbb
+bbbabbbabababaaaabbaaaaaa
+baaaabbabbabaaaaaababaabbbaaaabbabaabbbbbaaabababbaaabaa
+bbababaaabbabbbbabbabbaaaaabbbbbaabaabaabbbaabbbbabbaaaababab
+aabaabbabbbbabbbaaaaaabbbaabaaabaabbaaababbabbbbaabaabaaabbbabbbbbabaabbaaabbbaabaaaaabbbbbbabbbbbb
+aabbaababbabbbaaabbbabbbaaabbbabbabbababaabbabbababaabbbaaaabbabaabbaabaabaaabbabaaabab
+baaababbabaabbabaabababbabbabbbbabbbaaaabbabbbaaabb
+bbaaabbaabbaabbab
+bbbbaaaabaabbaaabababbabbababaaaabaaaaabbaaaaaab
+baabbbbbaaaaaaabbbaababbaababbabaabbbaaababaaabbaaababbaaaabbbabbbabaa
+bbabbabaaaabbabbababbaababbbbabbbaaaababaabaabababbbbaaaaaaaaabaabbbabbbabbaaaaabaabaababbaa
+bbaaaabbaaabababababbbbbbaaabbbabababbbbaaabbaabbbbbaaaaabaabbababbbaaaab
+bbababaabbbaabaabbabaabaaaaaaaabbbbaaababbaabaabaaaababbabababbbbbaaabbaaaabbabaabbbabaaabbbbaabbbabbbaaaaba
+abbaaaabababbaabbababbaabbaababaaabaabbbabbbbbababaaa
+bababbbababbabbaabbb
+ababbabaaabbbbbbaaaabaaaaabaabbabaaabababbabababbaba
+ababbbbababbbbbaabaabbbaababbbbaabbabbaaabbaabbbabbbbbaaaababbaaabbaabbbabbabbaaababbababaaa
+bbaaababaaabaaba
+aaaabaaaabbabbababbababbbbabaababbaabbaabbaabbbbbaaaaaaabbbaabbbaaabaaaaa
+abaabababbaabbaabaabaaababababbbaaaaabbbabbbbaaaaababbaabaab
+baaabbbbababbaabbbbbabaabaababaaaaabaa
+abaaabbbbbaaabaaaabababaaabbaabaababaabbabbbaaabaabbbbbaaaabbabbaaababaabaaaababaabba
+abbaaaabbbbbabbababbaabbaaaabaaaabbbbaaabbaabaababbabbbababbbaabbbbbbaaaaaabbaabbaaaaaaaaa
+aaabbababbaabbaaaaabbaaabaabbbbabaaaaaaaaa
+aabaabbabbbaabbbba
+aaabaababaaaabaabbbaabbabaaabaabaababbbbbaababbabbabbabaaababbbbabaaaaabbabaaaba
+aabbbbabbbaaabbbaabababaababaaabbaaabbabbbbabbbbaabaabbbabbbababbabbbaaabbababbaababbbaabbbbbaaabaabbaaabaa
+bbaabaaaaaaabbaabbababaaabbbbabbbababaababbaaaabbaababbaabbbaabbababbabaabbabab
+aaaabbbaab
+abbabbaabbabababbbbbaabaabaaabaabaabaabbbbabbbbabaabaaabaabaaabaaabaaababaabbababbbb
+aabbbaabaabbaaabaabbaaabab
+aababbabaabbabababaaaaabbbbbaaabbababaaabaabbaaabbbaabababbbbbaabaabbabbaaaabaabaabaaaabb
+bbbaaaaaabbaabaaaabbbbaaaaaababbbbabbaabbaabbababaaababbabbabaaaaaaaa
+bbbabaabaababbbaabbbabaabbbaaabab
+aabbaaababaabbbbbaaaabaabaaabbabababbbbaaaabbbbbaabaaababbababababbaaaababbbbbbaba
+baababbababbababbbaabbbbbbbaaaabbbababaabbbbbbabbbbbbbabaaababbaaabbbbbaaabaabbbbbabbbbbababaababbb
+abaaabbaabbabaaaaaaabbbbbbbaaababababbabbbaaaaaaaabaabaabaabbaaabaaabbabbabba
+abaaaaaaaabababbaa
+aaaabaabaaaaaaaabaaaaabaababababbababbbbbbabaabaaabaabbaaabbbabbbabbabbaaaaaabaaabababaaaabaaabb
+babbaaabaabaaabababbabbaaaaaabbbabababaaaabaaabbabaaaabbaaabbabbbabaaaaabbabbbaaaabbaa
+babaabaaaabbabababbbbaababaabaaaabaabaaabbaaaaabbb
+abaaabbbbbbababbaaaaababbaabbbbababaabbababaaaabbbabbbbababbabaabababbbaaaaababbbbaaabb
+bbbbbababbababaabababbbabbbbabbbbaabaaababbabbbaabbbaabbaaaababaabaabaaababbbbbaabaababbaababbabba
+babbbbbbbaababbabbbbbbaabaabbaaaababbabbaabab
+baabbabbaaaabbbbaaabbabbabaabababbabaaabbaabb
+bbbbbababbbbbabbababababbabbaaaaaaaaaabaaaabbabababbbabaaabbbbabbbbbabbaabaaabbaaabaaabbb
+bbbabaababababaabaabbbbaabbbaabbaabaabaaaabbbabbbbbabbaabbabbabbaabaaababbabb
+aaabbababbbabaabbbbbbaaabbbbbababaaabaa
+bbbbbbabbbbabababbbaaa
+bbbabbaaabbbabbbbaabbbaaaabaaaabbbaabb
+aabaaabbabbbabbababaaababbbbbaaabbbaabbababbbaaaaabbaaabbababbaabbaabaaabbaaabbbbabbbabbbbabbaaaaabaaaaababa
+bbabbabaababaabaabbabbabbbbbaaabbbbabbaabbbbbbbaaab
+abbbaaabbabbabbaabbababaaabbabbbabbabaaabbbbabbbabbabbabaababbababbaabaabaaaaa
+babaaabababbbaababaaabbababaabbababaabbabaabababbababaaaabbbaababa
+abababbabaabaabaaaaaabbabbabbaaababaaabbbaaabbaababbaabbabbbbbbaababbaabababbbbbabbaabbababaaabbbaaba
+baababbbaaababbbabbabbbbabababbbbaba
+aaabbaaabbabaabbabaabaaaaaaaaaaababbaba
+abbaaababbbbabaabaaaaabaaabababbbaaaabaabbababaabbbaabaabbabbbbaaaababbabbbbbbbaababbb
+bbaabbbbbabbbbbbaaaabaaaababababbaaabbbbaabbbbbabaaa
+aaaabaababbbabbaaabbbbaaaaaabbaaabbbbabaaabbaaababbbbbaababbbbabbababbaabaababbbaabaaabbabbbbbb
+baaabbaaaabbbaaaababbaabaabbababbaabababbbbbaaabbabbabbabaabaabbabbbabaabbabbabbababbabbbaaabbbb
+ababbbabbbbaaaabbbababbbabbbaaa
+babbbabaaaabaaaabbbabbabaa
+abbbbaabaaaaaaabababaaaaaababbbbabaaabbaaaabbbaaabaaababaabbbabbaaabaaababaaaabbaabbbbbbaaabbaba
+abbbabbbbaba
+abbabbabbbbaaabbaaaabaaabaabbababbbbbbbabbababaaaabbbbbbabaaaaab
+bbaabbbaaaabbbabbaabbaabababababbbabbbaabaabbaaaaaaaaabbbb
+baaaabbbaaaaabbbaaababababbaaaabbaaabbababababbababbabbbaaabababaabbaaaaba
+bababbaaaabababaaababaabbaaaaaaabbbbabbbabbbbb
+bababaaabbbaaabbbaaabbbabaababaaababababaaabbbbbbaababbbbbaabaabaabaaabbbbabbbbaaaaaaaaaaabbbbaa
+abaaaabbbaaabbaabbaabbbbbabbbabbb
+bbbbaabbbaaaaaabbababbabaa
+aaabaaabbbaabbaabbbbabbabbabbbaaaabbbbbabbaabbabababbaabbabaab
+baabbbaaabbbbbabbabbbbaaaabbbbabbabbabbababbbbab
+bbbabbabaaabbbbaaababbbbabaaaaaaaabbbaa
+bbbababaabaabaaaaabbaababaabaababaaaababbbbabbbbbbbaaaaabbaaabba
+baaaaaabbbaabbabbaabaabaa
+aaaaabbbbbbaa
+bbabbabaabbabaabaabbbbabababbabbaaabaabaaaaabababaabaaababbaabbbbababbaaabbbbbababaaabbaa
+baaaababaaabaabbbbaaaabaabaabaaaabaab
+bbaaaaaabbabbbababbbbaaaabaabbbbbbbbbabaabbaaaababbbbbbaabababbaaaaaabaaababaaaaabbaaabbaabbaabaaabbaaab
+bababbbbbabbabbaabbbbabaabbbabbbabaaabaaaabbaaaabbbabababbaaba
+aabbbaaaabababaababaabbabbaaabaaaabaabba
+babbbbababbbbabbbababbbaab
+baaabaabbbbbaaaabababbbabaaaa
+bbabbbbababbbbbbbaabaabbbbbbbaabaaabaaabbaaaaababbaababbbbabbabbabaaa
+bbabbbabababaa
+bbabaabaabbbbbbbbababbaabaabaaaabaaaabaabaababababa
+abaabbbbaaababaabb
+abaaabaaabbbbabbbbbaaaabbbbabbbbbbbabaaabababbaaabbaababbbaaaabaaaabaaabbabaaabababaabbaabbbbbbaaba
+bbaaabaaaaaaaaababbaaababaaabbabaabbbbaaaabbbbabaaababbbab
+aaaaaabaaaaabaabbbaaababaabaabaaaaaabaabbbbababbaaaababaabbbaabbaabaaabaabbbabbbbbbbababaaaaabbabababba
+aaaaaaabbabaababbbaababaabbababbbababaabaaaaabbbabbaaabababaabaaabbab
+aaabbabbaababaa
+aabbbabbaaabbbababbaaaaaaabaaabbaaaabaa
+babaaabbaababbaabaabaabbaabbabbaaaabbbbaaaababbbaaaababbaababbabaab
+aaaaaaaabbaabbbbabaaabaaaaababb
+120 41
+dbcadcabbbdacbaaabdcbabbcabbbbaaada
+adbccacbbbdbdcdcdbcdcabbbcddcbaabbdcd
+bbcacbaaacdbbaaacabadccdbadabaabaacbbcabdaacdcaadabbdaddcbbdcacbbddcaccdccbcbddddba
+bbacbdcccabccddbacdd
+cdccbcbcccaaccbdaccbaccbaadaaacccdccbdbccacbbbcbccaccdddcdcbbcbaacdccbbcbbcbbdabaaccbaababacbdaadddcbcc
+abdabcacdaadcdbcddbdccdabbcbddbadabcdbdcccaacbccbdacdbcdaccacacbaccbdabcaadbdcabadabdabbad
+cdbadabbccbcccbdcdbdadcaddbacbcaaaccddbbccbdcddccdabdbbcbbbcaaddbcaacdcbcdcdadaabcabbdbdacdcccabadcababbc
+cacbdbacddbbbaacccbcccaddacddadcdbcbbccadbbccbccacabcdbdacac
+ddabaabbbddcbadbbadcdcccaccbcdcacccacbbdaacdbdadaabdbbaacdaadbcdbccbcacbaccdadbbcdcdadabdbadcdcac
+ccadacbbadbc
+baaaddcadbbabdd
+addaabddddbaddcadbccacaadbc
+bdaddcabddacdcbdbccbabcbabbcbbcbbcacbdbcacccdbcbabacdbcdccabccbdaaddcacdcbddbcbdcccdbaabdddcadccbcbcdd
+babddcadbcddacddcdccdcbbdbabbddcdbdbbdbaddbcababcadcddbaabadacadbaabddbdadccabccbbcaabbcbcaaaababda
+adbcdbbdcbbaddbcacaaadddcadccbdabcccbbbccccddcbdbacaaddbbcbdddabdbdacbdcabbccabdcdcdbdcdaadbcbc
+cbcacbaccbacbabbaacbadbccdadcbaddcbbacacbbaccbbddcccadaabdbbbacdaddacbcbccaacabdcbbddddaccaaccdcacdada
+bddcaacdacabcdbbadabbbadcdccdbdcdcccabadabbaabcdcaabc
+bdbaccbbcdccddcdbabadbddcccccdbddaddabbaacdbdacbbcdbacaccadbcdbc
+accbbdabddcddabcccaadbbcdbcbdccaccdbdcdacaadbcbdbaaccbabcbdc
+dcdabdcbbcdddbcababdcadadddbacbadcbbdaacccdcbdddcccadddbabaabbbcdaccdbdcaccdcacbacbaaadccaaccbdccbbaadcc
+dacbcbbbcbaddcbaacbabadbcabbbdcaabdddbaddbacbcaadaddbadbadcabba
+bcacaabcdcabccadddabdacacbccbbcaabbccaddccadcadddaabbb
+babdadcdbcdbaabadacbcadadabaaacccdbdadbdbdabbcdaacabcbccccdacbbabdbaaccabcccbcaddcbcdcadbcbacccaaadbdbacddd
+aaacabdbcdaabbbabadcccdcdabcbaabccdbcbccacaccaadcdddadaddbbbbdbabaaccbbbcccccbcdbddddccabddcdcdcbdbadacdddbd
+bbbbbbbabbcddabbccabbcaacadc
+dbabbaaadbcbcbacacbacdcbabbccdacbddaaaacbcbcbdacbb
+ddadabaaacccbadbaaddcbcccaabdcccbd
+baabdbacddabaadcbbbdacbccdbaddbaadbdacbaccbcbcccaaaacbbbdbcbcaabdadaccbcddabaccaddbcbddaddbbcdbdcbaccbbccdda
+babadcdacadbacbdabccbbcbadadaaaabbcbcccabcbdbdbd
+abcacabbcccabcccabcbbdbdcdbcbdadacbdb
+addbaaacabcccdaabaaccaacadadbaaadbacbcbcaa
+bdcddbacdbdcdaadbdcacbbcbcaaddc
+acccabbdadbddcdabdcacbbaadcaccdbaccadacdbdadcacaccabbdaaadbdbddcdbda
+baacbcdcaccbdbdaadaacbbddacdbbabcacdcbcdbcaaaacbaddbadcdddddbbadddcbca
+dccbdadcbbccaaddcdadabdadaabbbbdabdbacaaabcdcadaaaadabaadcdadadabcbbaabbdac
+cbcaadabacdddaccacdddd
+bccdaccaccbbdcbcbdcc
+accabaddcbc
+dcaabacaaaaddbdbacaaacdabdccbdddabbcdbdccdbcdbdadbccbcadddbcbccdbdaad
+dbbddaddcddacabdcbaadbaabccdabdbdbbbddaccbbcaccb
+bdcbbbbcbadbddadbcdcdbcbaddcbabdbbababdccdbcbcaabcadbdcddb
+babaccdbcdbbdccbabdbabdccaadaacbbccbababaccaacacdddaacccaddadbbbabaadadacdbccdadccbbbd
+bdbdcbcaabbaccbbbdbcdbadbccddccdddd
+cbbaccdcabcdbdccadacdddbddddbacbadcddbdbaaaaabbacbdaaccaabcaacbbbdddbbdbcdcdbbd
+cbacdaadbccdcbaababdbbcacddddcccdbaaadcaaccbdadabbacababbaaddbcddbc
+dcdcaccaccbdbabdcaddcbbdacdddcbbccadddbccbdddbccdabccaacbdbbbb
+cccccacdcbacdaabbabdbdbaccdabbabdbbcadcadbdacbdbdbbbaadcb
+dcbcdaadbcabdcc
+adacdccacdabaddbccacaabaccbcdbdacaccbccbddbccdbcbd
+ccbaabbcbbbcaabaddcbcabcbbcaaddccdabaccbccbdbaaddcbdabdaacbcaaadbdaaacabbccbaaccccdacccccacacdaaaacdadacdcb
+cdbcccccdbbaadcdd
+daacaadaaccdddddbadddcbbdccddaabbcbaaabdccadccda
+ddacdbbaacdbaaaadaacaaddbcacddbdbbbcdbddabbbccabdbbdcbbcbdcdabbccbabaadaccaaacaddbbcababb
+cddcacbbcaaadadbabbbdbdadccacbcdbdaccaabbdbadabbcbcdabdcbbadddcbcddbacdbbcdaabacadbcbddcbdbbcdadababdd
+abcacacdababbad
+daccbdbabbacaaaaaaaaadadcdbbaddaaabbcdccacbadacbdadcdcaadc
+aaacacbbacbdadacacbadaaaaacc
+adbcadbbdbbbccaccd
+bccbcaccbcaacdbbdacaabacacdabbadbcacaabcdbbcdccdccaadadacababccddbcbccbaaacccbcbcacabcbcadb
+ccbcdddadcabcacbcdcbcabbbdbdddccddbdbbdaaabdbbcbdcdddacddbadabdccdbacaaddaacbadbdcacdcdaadcbacbacadb
+abbaadadcaabaddaadadadddddcc
+dccdcacbcccdadabaadaadbbddbacadcabdddcdddcdbcdbadd
+dcabcabcdbbaababadadccbbdbccadbaa
+addcaacadddabcbcbcccadaaacdbcdbacdddadccacadaddbcdcbcdbdddbcdcacabcaadddbcdbbbaadbdcdba
+abbbdbdbbcaddabadacdbdabdabbadabcacbcbadabdbcbbdcddcdbccbddbabdcacbaacaddababdbdabacacdbdaabbaacaccdcadabdb
+adbdcdcbcaabbbddddcccaaadbacdaacdcddadaacbadbbdbbcdbcbcbbdbbcacaaccdacddddd
+caaadccccbaacdaabaccabbbbbbcaddb
+cbcadbcbddcacbdbccaadabbbaacdacbdaabdb
+bbabbdbbcbbabaabbadcacdcbcbadddbcaaadcb
+dbccdbcabadbdaabbccaabbabddddbdcbbdaddaacddbbabdbbddcbdabbcabaccdaadccadbbcabdaccdaccbacbbaacdbdaca
+dccbdcadbbbcccddabaabcababacdbabdadbcacaaaadbddbbccccdcccccbcabcaadbdbdcdbcbcadadcacadcabcd
+adddcbbcddaacdcbadabbbbccbbcaddbbdbbdccbbadddddabdbaadbdcbbaccdadbbbadacccabacaadddddcca
+cbcbaddcdaaabbbcdcdaccdcadcccacaaacdab
+baccbbaacdd
+cbccacbcaaddab
+dbbbcdbacadacadddbacadcbdbbbadacacadaacdbbadbdaaccbbbcbcdabaccd
+ddccddcbdbbaadddddbdbdbddcdbbcbdacbabbcbbabaabddcabcbcdbdacddccacdcbabdccccccaadabbbcaaaaabadcccccdbbab
+cbdaddaacbddcdcccbbadcdac
+daaadcacdacbcdcccbabdccb
+bbaababcdccbadcdbcbbcdcaaacdaacacacadaccdadcdcdbcdcbabbcdaccadbaaadadacbabcdbacbaacbbddcaccdbdaccaababdada
+acdcdddacdaccaddbbbda
+cdaabdaccdbcabaddbacbbdbbcbdcdcbabcadcabadcdadadbcdbcbaddbcaddccdcabaccddccadbcddbcaacbbbcabdaddbabbdcbcc
+daddddbdcaccbaabbcbbdccdadbdaadddbddcaaadbcdcadcaadbbddacdcccbaca
+cddbcbcbaadcdcbddcdddbabdaaadbabdcdadbcabcaacbddabbdbccdacabcbccbdbaadaaadacbbbddcbb
+babacbdbddcdccdccbcbdccbadbccabdadcacdddbccbbaabdddccbbcbaccddddbdddacbbacabdaabaadaacd
+dcadccbbbabdbbaabaccbadcaabdbcabbbbdbacacbacdcbcbcdabacadacccbdbbdd
+aabcbdcddbdbbddcdbbdaacabcbdbbdcbbaaabcdabccbdcaaabcbbddbdacaacdbadbdacdacdbcdcaccbadcdcaaadddd
+acbabadbcadcdbadbdacdcdbbccbbabcacdacdbccbbdabcbda
+abcbcddcddacbbdbbdbcacbbddabadddbdcbdcccacdbabaaadcddbbbdbdbacdbaabccca
+ccacbcbcccbaabacbaddacbdcacbcdcddd
+aaaacbbbacbacdbbccabcbbddcacccccbadcbabddbcabbbcdaccbcdddadbdbcbcacbcdadababcdddbcbbddabdb
+cdbadadbcaacbcdcdaaaddcaaddbcdbccdbbdaadddbbdacabadbcacaddcdcaabccdabbabbcacba
+dcacccbcacbdbaaddccbcaddcacbdcbacacacccdbacadbbbaababaaacddddabaadb
+abccddbadadacbadbbbaccabbaaaabdab
+baaacddbadccaddaadccddaabddbccddddcdbaddada
+cbbcbbcdbaaccacdccaddddcbcbdbbbcbdbbcbcdbbdccbdddccaabcddaccddbdcddcddc
+cadadbdddabcacabdbccdddcdbaadbddacbbbdcbaccadcbc
+dacaabddcdbdabdcaddacbddbdbdacdbbbbcccddcacbcadbbcaaaaadcdddadcabaadababccbcaddaadbbabdcbcbdabdddcbcadda
+dbbababcbbdbddcdcabcbbccdccbadbccabbcdd
+dbccbbdaacadcbdabbdbccadaaacadacdbdbdbdddabccbbcdacdbcd
+ccabdcdbcabcbdcacdcaabcaaaadcacdbcbdbbadccc
+cadcdcccadccbdbdadbcccaccdbdbadcbcd
+cbcbadbdbcdcaacb
+cdaccbaacabdcabcadddabadddacbdccacabddcaccbcbabdcbdb
+daacadbddbddcdbcbcdaadbbaaddbdbabcbaaadbcdabdcaddbaddadaaacdbcdddadddadaadcbbbd
+adcaadabdbcababccdbacbbcdddcaacdbaabcdaccacaadcbddbdbbbcdadbaaaadd
+accbcaabacaacbaaadcbccdbdaadcbaadbacddadadbbadbbbcaacccccdccacccbdbbbcabbcbdaabbdbdad
+abbdbdcdbdddbccaacbdcaadbcbbccccacabcdbcbddbcdadcacaa
+dcdadbbaacddcaadcdcdaadbcacbadbadadadababdaccdadbcddacbbdcbbdacdbccdcadabcdbbdbddcbbadcadbddaa
+accabdcbbcaadaacaaaaaddccbbaabccabcabbddccdabbda
+acdaaccbcaadacdbdaccadbbcdbbcdc
+bbdccbccdacccdaabbabcdadcbcdabccdddacaddbdddddacba
+bdbcdabbaadcabcbaccbadddddaacdbcdbcacd
+daccdbacdabadbbcbbab
+ababdbdabadabcaacbaacaadcdadccaaaccdcdabaadcdbdadcbbacaddabbaddcbdaba
+dadcdcccadabadbacaabccddcdcccbdbcabddcbcadadbddbbbbdaacdabccaabbcaabbbdabdad
+bccdaccaabccbbadcbcbbcacddabbdbdaabaabcacdcaaadaaddaaadcdaabcaccdadcacadacaccc
+adabdaaaabdadc
+babdaccbaddacbccbbbdbbabdcddccccccdbbcacddcdadbdbabccddccbcdcacbddcadbabaccaaadccdcaddcadcbaadccdbbabccc
+bdaabaadcbaabdcadaacdadaccbabcadaadccacadbbdccddcbdabcacdacddccbdacaaaccbcbdccbddcdddddbababcdddaabbacdbaca
+284 99
+dbadbcdccbaabbdabdbabaacdcbbbddbbabddabdbcdbbbaacbdcbddbcddaadddaaab
+ddcdcccaddbcadcbadcddaacabddcaccbdacccbc
+cadcbbababaaaadbccabcaddbcbbadacadadccdcaaacbaabaccabdacbcaacdddaacbbcaaccbbbabadabbbddbd
+abbbbbcbdbababacadbadbdacccbacabccabaddaadbbdbdcbbddcdacabcdbdbddccdbaddcacdbabbccdadbaccacbb
+cdcddcadcdddbcbaccaaabdadbaaccccddbbbbacdbabbaaaaddccbadccdbbdadccdcdbadccaadbcbbbddabbbabbbcbabdbdbbcdcadbd
+aabaaaaaccbdcdccadbcdbcbc
+aaabbaaccbababdbdadcadaaaacbddabbabbcadbdddcadcaabdcdacbaddacadccbdbdccabbdccaadbcdabbbcddc
+dadcdbacccccaaaaabaacbbacacdadbbdacbdabcabcaaaaaaccdacabbcccbcbcaaab
+acaccdddaadaccbbcdddbaaacaccdda
+dbbdcbdacccdcbbaacdccbdcdcbbabacdadcacbddddccbacdbdabaddaad
+addabbccddaaaaadcaaabb
+aaaccbaabdbddadabccabc
+abcccdcbdcdc
+badabaaabccbcdabbccabcdbacadddcbddabddc
+bcdddbadddcbdbcdcdaacacbaacddbdbdbcdbdcddccaacaddbbdcabaacaadcbccdabadaabcdcababbcbbbcbcacacbd
+ddbdaabdcbbaddcadbdcacdaa
+dbcbbdccdbaacdbbbbdbaacdbdbabdddcbcacadbabdbaaabdadccbcbaacdcbbcdcaabaac
+acabcbbacddbbbadcbbaccbccbbacddcacdadacbaaaccaadbadddccdcadcba
+bccdadbdbaacabbdacccbcddddacbbabacacbbbabdbbcabbadccaabbadcdbacbdadbbdacbdddbcaadaddbcbdadaaacbacdba
+ddbbbdabcdaaabdddbccabbcadaddcccbdcbabbdbcacadadbcacbbccdadcddbdaadaacaaddabcacababcbcbabcaadcbbaacba
+cdcadacbcbbccddddddadaacadddbabdcbddbbbabbcccbaaaacbdcbadccadbabacbacabaacdbbcdcbbcaaa
+ccabbbbdabbdbcbdabcbdbbdcdaabcbbd
+badacbbcaabcbddddbdccdacdaadccdbcaad
+ccaccbdcbcbdcbcdcdcdcadca
+cccbcbbbbccdccbaabcdbdcbbbacacdaadddbcbbbacaabcabbcadcadbaddcbacaabaddcd
+caccdabbaaaaccbcdcaaabbbbacdcadbdcacbcaabcaabd
+cacbdbcddacbabdbdccccacdbaadaccdacddccabdcbcbdadbdbcddcddcdcabadbabaaadbaddcaacddddccdbdadaad
+acddabadbdabbdcadbcbdabcbcdaccbccaaaddadbdaaaaaddadcadcccdbbccc
+cdbdcbdddbadabccbabcdbbbcdbddcacccbdcbddcacaadcccdcabcacdabddcdadabbd
+bbddbbbcdcbcacaabdbacdcbbacdcbddbca
+ababbdaabcbbaaddccbbbbacdccbccbaccbbacacbacaa
+dcbccdcccaaccdaacbddaaaacbdbcabadbbcabbaacdacdaabbbadcacbcacacabdbcab
+babdbcddbbdcdbdcbcadbbdcabdbbaabddcbcbabcbcbaacaab
+bbbcbadbddbdabdabaacddbbcddbaddbdabbdadbbadcbdcbdcdbacdcaaacdcdbbababddddccacbcbccabdbbccd
+aadaaccddccabdadcdbabacbddabdcbacaddadc
+bbcbbcddccdcdbabcdccdcbcbbdaddaddcabadbaba
+bccacddcbdcbbddcabacabbacdcdbcbbcdbcddbcaaabaacaabcddcbaccbaaadcdcdbddbbcadcdabcdcdcbacddbdbdacabc
+aabaabbcaccadbcdcacdcbdacbdbdc
+dbccccdbdaaabddacddcccddccadaaaacaacbdaacbccdcacdbcbabddddaaadcbccbcaaaaaadaddc
+bcacbbabbdbbbbbcbbcbaadccdddbddcbbcdaadbcdcacdadccacbccdcdddbbbaa
+aaccbadbddddcabadaacccadccdabdcadcabbdccacbacdcddbbdaba
+cbcddcccdbcdacbbbccccacaddaddddbddcdaccdbbdcbcdbcbdadcdbdbbddbccacdcabbdcaaabbcdabdacabddacc
+abbcbccdbbbbdadadcad
+ccbdcccabcbadcdcccdcdbbacaacabcbcdbdcdddbdbdacbaaababcbccadbbabdbbdcccbdddddccabdccdcdbcdadbbbbacc
+ddacabcbcccbbbababacbccaddbadabbacdbdccdbddccdddcdccddbdcbbdbdbdcdabcddbbbdccaadacbaabbdbdbaacbccadbad
+dccadbdbdcacbacbacdbdab
+cdbdbcabccdaccccacdabdbccaaccacaccbdadcbdbbaabbdbbccd
+cdbdddcdcbdbdadcbcccbcdccddacdcdaabbcdccacabdcdaaadababadadaaaccaadccbcbdaaadacdadbddaaddbabcdda
+dbcdbbbccbdbbdbccddaadacddadccdabbbbabcbcabcbddbdbdbcabcdbdddacadaabadddacdccdccbdbbcdadabadccacbac
+bbdcababbbdbcbbdbbabdbabbcbaacbccabccadbbbcdbddcbbbabdbddaaaacccdbbdccadaadbcbbabdbcddcaaadcbcacaddaa
+cdabddccdbbabbdbbdcaabadbaddcbaadbda
+cbabcdacbaddcddbdcdbbacbcabdadddccbbcdccddbcccbdcdcdcccdcbaabcdcacdcbcc
+cabcbacbbabbcababbdddadaabccabddcdcdabdbb
+aacdadbbdaddcabbdbbbbdddadacbbdaddadccadacaacdacaaabdbabadbcddddbcddcca
+ddcccdccaacdadcaabcbddcdcacabdcccadcbdccaadbbcacbccbacbcababcbadaadbbcdddadb
+badbaddaabacadcabdbbcabdcdaaabaabdbbdbccddcdbdadaadbadcdaaccacadaadccccdcaaccdabbbccdcccccabbcadcad
+badabcaaacdcccdcbcaccaddadcadbdbddbbbadddcacbcdd
+cbabcacdcbabacbcbbdcaadddbccbdddaccaacbccbaccbbddabdbddcdddcaaaddbdabbccdbb
+cbcdbdbdacaabdcdabbadcdcabdacbcddddcdccbdaadabcdbddbcdacabcaccbadbadcadaadabcbaaaabdcaccacaadbdcb
+abddddadaacaddddadbababcaacbbddadccdcdacbdadccabccadbaccbdbaabddcdbacbcbbddcbbcb
+dbacddacacaadbddcdbaccddad
+bbdddabbaabcabcaadbcbaacbbdcdcdcdcbaccbaddadbbdbccddabacddadcbdcabcc
+bcdbbbbdabccd
+cbacdcbcacbabbcababdccaaadcccbadcbdcbaccddabddabcddcbdbcdadbdaddbbbbaaabcbabaccddbddbaaadab
+bcbdabddaaaccaddbbcdbcbdabccacbdbabacbdadddbbadbaccabdcbbbabadcbabdadb
+bcacbdcdccaddbbcbdaadabdabcbdb
+aaadabaaaaddcbdaccc
+abaabdbdddcdbdcacdaabaddbadbdbddaaaadbcbdacacadbcadacbddbcddadcbbdcccabbddddadcccbcabcbabdcbccdbdaacac
+aacdaacdddcbdccdcccddbdcaabaabcbbdbdcbcaddccdcdbcada
+acabdcabccdcadddcbbadabdaaacacabcddddbbdccbdadccd
+cbdacccccaacadaacabbdacaadcbbaadcacbccbcbdacddabababaacddbbacabacbbddbdddacbaaaccbbbbaccdbdcabadba
+dababbcaadcbdcddaabdbcabbdcdbbd
+cabcabbddddcbbcdbbabdacbcaaaaabbddaaccbccadcbdcbdbadababcbacddbcddccbabbdbaacdbdabbbbaac
+bddddbcbdbcbacbacccccadbbdbbddaddaccaacadddbacbada
+cbcabcbbccdbbddcbbacccccb
+cdbddbcbdbbbdbcdabcccacbcbdcbaaccdbadcdbabbdbdb
+dcbbacccccdcdbadacbbbacc
+bbbacbdcbdbbabaacaaddcbabcaaaabdacbbbaddddddbdbdbccbbbbacbacddbbab
+bbcddcaadbdbddcadcdbcabdcadbdcbacdaddaaaccaadbdcbaaaabbbbdacabdddcbacadabc
+aaadddcdddbdccdbbdbcdddabdccdcbbccbabdddacbcabcaddbdcabbdcadabcddddc
+bbcbbaabbcaabbccdccbccdbcbcdaadccabdcddddbaadddcdbdaacdabcdbcb
+bdcdcbccddcddbbbacbcbbccdabacbaab
+caacbbcaabbcccbcabcaadbabcaacbbbabbadabbcbdcccadcbcadabddaccbbcdcbacbdaaadcdddbadbabcbdaaabccbbaacadd
+cccaaccaaadcadacdbbbbaddadcba
+ddcacabcadbdaacbccbaddcddadbbbdcbdadaddacbcaabaabcdbdddbbbdabbbcaaacbbaaccacabcddddaaacdddcdacbcac
+dbcbdaacddadbdabddadbbaaaccc
+dccadcbcaacbbcccbdabcdbddaacbbaadadcbacdbddabbbcaabdddbdcabcdbaacaaccdcccbabdcbcadbcaabbbabcacb
+acbddacbdddbcbadabccbdbbcdbaccbab
+addabbdabadcbbcbdadcbabdacdacbdaaabbababcdabacbaaaccbddabbdbcbcbcccabbdbabdbdbdacaaaabadcbcbbac
+addcbcccbcabaddcdbcadbcddbdbdcdbadadcadabbababdbcababcdcabcacda
+cacaaacadcabcdbbdbbcbbbbcdbd
+acccdbbddcabdabbacaccbaadbabccaddadcabbcbaabadacbacbcbbab
+aaadbcbaacaadabaacccd
+cbcacababcdabcbbdccdcbcdbcadcadbbd
+bbaddcddcbdbcadcbbdabdadbacddadbbacddbcdccdcadcaabcabaacabbbaabcabccbdd
+acdbcdcdbabbdadcacdadddddddcababadddcaaaaad
+baacccdcdccaccbdbacbbbadaadacbaccdcdaaabdbdbaddacbbcbaacddbcaadcdadddcbacccbadccdabcacadcccdbdbc
+cbdbbcaabbbdbbcabcddbcdbddacadcccadbddabbbabbcdcbbadabbdcddbcdaccabcdccacdabdbbdcacabcc
+dddbcccaadaadcaaaddaacdccdcaaddabdcadadbdacbadbcccbcacbbcddb
+cdadaacbcdccdcbaccbabadbddccbacdabdbaddaacadbbccdddccdcbbcca
+adabcdcbabcacdcccabcbbaabadccadcbbddddbccdbbbbcbcadbabadbbcbdcbcdcaddbdaddaddcaabcddbddbc
+abcaabdabbaddccaddcbababaabaadaabbcbcdcbddcbcdbbcbbdcaadacdadddbcbcadabbacbcacadcacbd
+acdcccacaddcdaaccbbdbacccdddbcabdaabbababacbcccaddadcccbcacdadcbbdddccbaacdacbcaadba
+cbcdcbcacdccdcbbabbbdbdcccdaccbdaadaddbbdbadabcad
+baaacddcdacccacddaabddbdabcaabcacdcddadbcdaaaaaaccaaacbccac
+ccdaaadccdadcdbcaaacdacbbcabdcdacbabbbcbbccbacaacaaadccddabcdcdcdcabbdcccbbaccadacbbbbcdcacadbcbccbbababbc
+ccddcdabdccaaabddaaacabbbdcbaababbccaaacabdbccbccacacbbcbbdddbdcdddbdabbbaacccbcbaaababdccd
+dcdccdabadbdaabdabdcacabddadcbdbdbbddbbbcdbbabacbdbdaacdcaba
+cddadadadaabbaccccddccaacdbaabdabacdabbdacdbdacdbdbccaabacccccadaccdbb
+bcdbcddabaddbacdbacdddadcabbddacbbdcdbbdcccccaccddcbccddabcadcccbbbcaba
+bdbabdbaddbadcbcacaaccbdbccdddbbcbaaaaabddcccbcabdcbbbccbdcbaccc
+babcabacaccbbdadbdabcadcdcbcacacccdcdcccadacdbbdbcdcbbbcbaccdcbacdcababbbcabdccacaacaddbdbdbdccbbd
+daddbabcbcdbbcadbbaaacdcdbcababddacccdabccdddabbcadcaccaaddbcac
+aacdadabbdacdcbacbbbbcc
+dddabdabcddaccaaaaabadddaaabadddbcbaddbdabaabbdadababbddbcccab
+acacacdcbabdadaaabaadaaadacdbbcbdccabddcbbbbdcdcddacdbbbcaaaacb
+aadcccaaddbbaadcbadcbcdbadadadabbcadccddbccacbdcc
+adbddbcbadbdbccdbcbbabdbaddbcccdcdcbaabacbbbabdabbaabdababdbaddd
+aabbbbbbadddcdacdbdddccdcdcbbbadddcddccaacadacbdacdabbcabcaddbcabccabdbdacbddccdbda
+dddabccbcbaccaccabadddabdcdbdadbbddcbaadbcbdccadaaccabcbbdcadbbcccabadddcdbbdddd
+dcdbddaadabbddcddaabbadddadadacbaadcaacccdacddbadbcbbcbdabbbcacadaaccdcc
+bbccacabbcddabaacbaddcbbbacdbcbaaddcdbadacbcdacbdbcbadcdadaadcdcabacbbbabdcacdcdcaaacdccbc
+dddccbdddacdadacdaadd
+ddcbaacddabcdaadbacdcbdabddbacabbaccdacbddabcadcaaadaccbcdbbccdcdcacadca
+dcbdcdabaccddcaadcbbcadbbbaddddcaccbbaaccadcadaa
+ccbaddcacbdbbcbbbacaabcddcaaadaadaaabadadddabcbcbbcbadabdcdbcabcbcbaddcacbcbb
+cccaabcdadcdcbabbaddabddcbbdcddcadddcdbcadaacbacacdcabcddabbdbadbcdccdadabacdbabdbacadabdcaadbaddcdcccbcdbccc
+bccdbddacdbbbcbacdddcbaabbadbccdabdbbadccbbcdcddacaaabbcbccdaadaccacdbcbccaaaaddbbda
+dcdcaadbbabaaccdcbddccdbbdccddac
+accaacacccdcadbbbbbdddbabadbbbbbcaabddcaabaabbdcdddabd
+cbcbdbaccdcccaaccdacbacdcbcdbdbbcaabbdaacddcacbacabccdbcbbaddadaccbbacaababdddddbadaacdbcb
+bbddbbaacaacbbdaddbdddadadaaccbabccacdcabacacaccddacdadacccabaabdabaccadcdabbccdbccbacbbacbabaac
+cabbaadbbaccdbabbdccdbdbbbca
+dabdaaacacdcdbdbcaddadcddadddddccadbb
+dbabbaccabbcdddcddbdaa
+addbdbbacdcaaabdabbbdbdcbda
+ccbdaaabdbdbadac
+aadcaadccdaaaccacccdbbbacdcbddadaadacbdadadcdaddbdacaadbadddcbbabaacdadbaadbabcdc
+daacdcddaadabccccabccdcbbdcbdaaddcabba
+acbcdbaddbaacaaabaabbaabdcaaacdabdcaaacdaacdc
+badddaabaacaccacbabaaccdb
+cbbacdbccaacaddacacdaacbd
+bddbcaaddabbbcddbcaddcabdcbbccccddcdcdcbbbacbdbcadbcdbbdac
+cccdbdaababacdbcaabacdcdbbcaddddadcdcdaacadbbcdcbcdcddcbdaabddaacaccbcbbadbdbcb
+bccbaddbcdcbdbbdddbddcdcbdcabddcbdbbcdcbdccabaadcbbb
+bbccdbdbcacdddccbbcacbadbbabcbadcaababa
+cbbdcbbacdcdaddadbaddddbbdddcad
+bacbbacdadbacdcaadcbabbcbcbccadaabbbdbcccdcbcabbccadacaddacbccdda
+adbabdcacccccbbbdbabbbbbcadbbcccbccbdcddddacbbcacacaabdadbcacaccacbdacddcbaccddcdcddbacccbbdbaddbacb
+cccacdcbbbdadaaddaacbdddccc
+addbbbdcbacddaddddcbcaabbcdabcaabcbaddbdabbcccadbbaddcddbbd
+acbcbcacaddadcdadcdbbbabddbadabaccbcbdaacaacaccacdbdcaccbbbadbbcaacbdbbddcaaccab
+bcbbbddcdaabbdc
+dacabbdaaadccdddcdddca
+aaccdaadcbaadbdacbdaadcabbbbcadcabaddbdaacbdadbaddccccbbdbcdaddbbcd
+dacbdadbbacacacacabdbdcccabbacaabadcbabcbda
+cdbbbbbdbdcababbaccbdabddb
+bbcdbbbbbbaccdcabbbbdaccdabddbcadadadbdadccdc
+dcadcaabdadcddadccaccdabdaa
+baddbabccabcddbdaddacbccababacdbdcabadadbbdbbadadaaccddcdaadddcabdcacababbdad
+cacdbacabdcdabbacdbdccbcaabbdaccaabbbddccaabcad
+abbcadcdbdaccbdbddbcdcbcaaaccabdcddabadbbbcabcdbababdcdabbbacbcacdccbabadbcbcacbccbbcddacbabd
+dbdbaddacbdbdcbacbbabbbccacbadaddcaddaccabacbbbcdbddcccbbccaaccdaca
+cabddbdacaacabdbddadcbbaabdbcdbbdcbdabddaccbbb
+ddbbcbadcbbabbaddddbddbddcbbaaccbdababbcbacbcdadcabddadabbcaacdcbbdbacbdccc
+cacbcdbbbcbccbbccbdaa
+abbdbacbccdad
+adbbccacbcddcdccbddacbabaadaddbabcbacdcddbb
+bcdcddbabddaaaabaddcadcbaddbdabbbbbbdddaabcdccbbcbcaaadadcbdbdddabcbbacbaddcaaaadabcadcbbcccaadaaabdbb
+abbaabaaddaccccdabcdcbcbbbaadadccc
+bcbdddacdddcbbacabccaddcdbbddacdbbbaaacacddddaaaabcbddccbaccbdbdbdcdadaa
+abbcabcabccddaddcaaccaabbbbdbabdbdbcdaaabdababcbdbbbbbacbcaaabbcdcdaabbdbcabadd
+bcacdbdacccbbacccbbdbdcbcdbddcbcaabadbcdddbbadbdcaaccdabaacdcbcbadbabbbdcaddaccd
+dadabbcabcdddbacbadaabcdbddbaaaabbacdbdcdbabcabcdca
+dbbcbcdbcacdaadbabbdccbdadacadcccaaabdbbbcddbadbcabcddbcddbddcadabdadd
+accdbabcbddddcdacbddcbc
+cdaaadcaadbaacabbcbbdabbbabaaccbbbbcdbdbaadadbbadaacbdaaacaacbcbdabdbccbcbdabbaad
+ddbdabdbbcbcdabba
+abddbbddccbdbbbccdcbaabdddbbccccaddbaacaabcdbbaaaccdbdbcaaccb
+bbadbcddacddcacacabcbcbcbcddabcacaabddccdaccbccbdabaadcabbddbadaabcadcaccdcdbdccdbcbccadbccbdddaccacdcdb
+acaaaacbaadadddcadcacabbbddbdddbbdbdbbadcdcacabaacadaabacadcbbbbdbbdbcaaabdacaaddcbcadbdcabbacdbada
+abcbcbcadbdadcbcdbaabbdcbcacbbaddcbacaaacaddabbcacdcaddcacbcbdcabaccdaaa
+bcdcbdbbdcdaddabbbbcabaaaaccccaaabcccbaccaaadbdaadadabdbdcdccbacbccdcdaaacbdbcddcacbbcbcc
+dbdbdcbdabccadcdccadaaadbbadbaadabdacabbaaacdccccdacbdacccbddbbbdaaa
+dacaacaabbcbccbddacdcbbacaabccbcadbadbbcbbb
+cbbbcdcacccccacccaccccaaadaaadacbbbdcbdddaddc
+baaabadcbcbdadbadadcdbdbbcacddddccadadcbbcaacdcaabcbaacabbaddcbdabaddcccbcddacbbcddabdabbbbbacaddbaabcdbaab
+acbdcabbbdbbbbbaccacbdadacabcdabcccccccaddbcaaddaacdabcaadbbbcaccdbbacdabcddcdbddbacbdd
+bcadcddaddabdcacbaccbcdadbbabccbbaaadacdddadacbddadbabacddacbdbddcccbddbbadbdaaa
+dcabaaaaabcaccbacbdadbbcdbdbbccab
+ccaddaadccdcdabbcbccadccccbccaadbdbbabbabccbdbbcbbdbaa
+baaabadcabcdcbadaacabddbbcaabbabbccbdaddbaccacccabbcbabcacacbcdabaacdbcdadcdcadbbccdddbdabbca
+aaacaddddaccbcdcdabcbcaddbbcbdaccdddaccbaaabbaaaaddddacdbbcbcadddbcbdcbbdabcacccaccabacaccccbb
+bcbbdbaacbbadddabccdbbacabdbdbbcaadccabdcbbaddabdbcaaaddcbccbacacabcbcdaaccbdddbacdc
+cddbaaccdbdccdaddbcdaacbcbdddcacbcbdaacbbdacacddbacbadadbbbabbbbc
+aaaaaabaaaccdccacacccbdcdabbaddcbadbabaccadcbcacaabddaddbadbbbdaaacbbabcaddcbdacaadbdadacaaacbaaaaacdacabcbab
+adadabcbadccadacbbacaccccadbaacdbddbbcbdcdaadabdddccbbcadddbdbbbbddbbd
+dbddbdcaccabdcaccbccdadabbcacddbbbadcacbbdabadbbdacbbdcbb
+daaddcbccdadcdcbbaddacacababddcbdbddabadddbdbbccdbadacbacdbbcaccaabacccbbbbabbbbdaddbbaaabadbccdbaabbc
+ccbbcadccccbbdddbadbbbddaccdaaabbdbaaabbdcaaadaababccacbcadbacbbcaaaacccdbabc
+cabddabbcbdcbdccabbccbdaccabdcabadaabdcadacdabbcbcbaaacaadbadcaadb
+baddbaccadccdbdaddcadadcbbadacccccbaccbddaccdabdacadcddaccacbcca
+bdcbcabbbabbcbbdddcdbaddaacdacbdadddbaddddbbdabddacabbdbdcacbadbbbadbbbda
+abcccdaacdaabacdabdbbbcdaddcddcdcdcdbdbcccbbcaacccdabaccbbddaaadacabcdaacdcbabccadabcccbbdadccbacccacbbabdbcd
+cdbdaaddccbbcaacaabccccb
+dacbbdcaddadaaacdadadabcccccacdcadadabcabbdcaabddadcdcabaddcabbdbbcbccbdbcaaadadcbc
+ccdddadaabbaddcbacccbcabcabbadcbddaddda
+aaadbaaacaacdbaaabadbbaadbdacabadaadaacabbcbbaacdddadcdbbabbcbcaccaccc
+aabcaaadabdacdcbcabcdcbcbacdddccdabcddbaadddbdcdbddbcddadaddabcbcacbccd
+abcdcdcdaddcbcaadbcbddcbbcbcbcdbbdbcabcbccdadcabacbcbccbbadbcabc
+abcdcccaaddcdaddaacaadcacaadbabcdabccbbcbdaaccdcccddcaccadcdaddbdcbcdaddcaadbabdabaacaaacbd
+bbddcadccdbbadbcbacaddbabddcddabbcbadbbbcdadaddbdbbabccabbdbbacbdcdcddaccbaddcdbcacbacbaabbabaababddbbabd
+abdddcbddcdadaaaaababdbcabdbcaabbbcdcacaadbbccdbbdcbbdccbddabdabccbcccdacdbccadbbcbbbddbdcbbccdacbaadaadbbdc
+acbdadcacadcbcbcddbccbcddabcabaacabbc
+cbbabbadbabdccccacbdcb
+aaacaaadbccaddcacccbcaddbccabcdbccdacaacccdbacbacdddcdbccdabdabdcbacbcb
+badbdabaaabdddabaabdadcabddddccddcbbcacdddddbbaacdacccbacd
+acabbcbdacabdcacccccdcdbbbdaadbccddccbbcdbdacdbabdbbdaacca
+ccbbdccabddabccdcbbccbbadbddcabcbbdabbbcbdbddbabcdddbbcbcdbbddcacadbdcaacdaccbaa
+ccdacbdabddbbcabbacdcbbacccacdbaadcabbddddddccacbcbcab
+bcbdbacdbcdbdabbabcddabacdabcadbbacbcaabbbdccdcccaabcbcbbbaaccdccbabddcbbbddacbb
+aaadcabccaadcadcddcababcbbbbaccadaaaddbcdaabcabccbccccacabdcdcc
+acdadcadabdddbadbddcdcacbaddccbcaddacabaacacdadaaabdbacbdddacdbdbccbbaaaaadccdccadcdcbdaaab
+dbbcbdabdcacbcdbdacdbaddbdcbababaacbdccbcaacbcdcdddcbdddbbabdddcacbaacddbcbbaacdddaaacbdcccaabacbdbcc
+bcaccaabbababbcadcaacbdbcdbccbcdcbcadcbddcdccaaadbbcdcaddaababacbacaccabbbbcbbbbdaccc
+acdabcaabcaaddbddbaaadccbbdcadcaccabdcddbdcb
+cacbadbbdbcadacabadaddadaaabdabdcbccaac
+bcdbdcadccabcbacbbcabdadddbbcadacaabbadbcbcbbccabacadbcbcccdadbcacbbadbabbb
+bccbbdbaddabdcdadddbacadabccbbdbccdaccaccbdcdcdbbbddcada
+cbccbbccbba
+abacbdbaababaaacddbdbbcaaacdbdadbcbcabdbcacadcadbcbbacacddddcbdcbdaccdcdbccabdbcdcddacabcdaca
+baabbabadbbcacdbccbdadababadddcacaabbdbadddcbcbddabdacabccccbababddcabccdbbdabdabdabdbd
+dadadcdbcadcabcccbbdcbbccdcbadcabac
+aacadddcbdbab
+aadcbbdddbdab
+acdcdbdacbdbadabbcacbdcacabac
+daabddcadcdacbddaaadcaadbdbbbabdbbbabbb
+abaacdabdacccdcabdbcaabadbdcbaaadadaabaacacdadbaaabddcaaabcdbdccacdabdccdddcabdcaabaaddbcd
+ddcabcddcdacaccdcaabadcbbddbdacacaacccaadcbbabcbbddabbddcbcddccbcacbd
+baabbbccbddabdbaaabdcabdacacbbdddaccabdacaabadcdbcdabcdbcdaabdbdbaccdccadacaabdadcccdcbdaddaabdadcccabddcacab
+bdccaccbdbab
+cabdcdacbaabcbbacbcaacbaaccabbbdacccbabdabdbdcaa
+dccadbbcbbbbadabcbacbccbcadababdaabcabbb
+cdadcacaabdcacdbacbbdbadbabddddcddccdccadaacaccacbacadccdcbdccdadadbbadddbabdbbabbbdcaacbdbaaacdaabbd
+cdacabcbcaaccbcaaaaaddadbabdbcbacccccacacdbbcacbdaabbbdbabacb
+badccbacadaacabbcdbbdbbcaa
+cadabdacbbcdcadcbababcbccbacbbddcababacbdbcabcdacdddcaaabbcbd
+aadbdcdaadadbadaabcbcabcdcbdddaadcdcddcbbbaab
+bbddacdcbccacdbcacadddcabcda
+adcaacbbbbdcbdbbdbccbdbbcdaddbddccbdacacabcdbaacacbdaacabdbcadcaabccbabaaacbdbdacaadbbacabcdcbdadabddcdd
+cdabaaddcbccbdbbacacbbaccacddbdcacdcc
+daadcdadbbdadaaaaabdddaaccdbbdbaaddddbcbbdabbdaaaadbaccdaacddddccbdbbabacbadbd
+acadcacabaddcacbdbabddad
+acdccbdbabbcadcccdadddcbdcadccabbaccdcbdaadabcacbbdadbbbaabdbbabdabbcadadbcbbcdaacbddacadbabaddbacbca
+aaabcbdcdbbcacbcabbbdadadbbdbaabccbbddbcadaddabcadcdbddcabaabcbdbabaddbac
+caacabaacbdbdcdcdabbaaabcadaddbccbcaabbddcccddcbcdcdadbdcdaddaddbbddabcddcdbacdbbdcdcbdadbddaddacdd
+dbdbcbabddcbacadcaabcacacadbaaabbdccaabbabcbaddbacaacdcabbbaacdcbcaddcbcdaabcddcdbdabcbabbbdababcbddbabbaacd
+adbddaacdbbcbdcbaddabcdbcbdbbadbabcbdbdadccbabadacaabcbdcdbdcbbbdadacaabcbbabdacaddacdabcaadac
+aadbdcadcadacbabbcbabcaccdabcbdbbbcdaabbcbca
+aabcdaaabddcdc
+dbbdadbbddbbbb
+ccdbbaabaaaaccbaccdaaabcdaccabccaadbbabdabc
+ccddddaabbddaccabadcacdbdbaabbdbdbcdcacddcdddda
+cbcaddbbbbbbaadcdca
+dbbdddbbcadbbbcdcadbbbccdcbcc
+baabdbbdbabbcbacdbaabcccaccbccccacaadbcccbbbadbadccabdbaadcbccabbcbdaadbbadcdddcabcddcbaacdaaadacbcbc
+ccabcdcdabadb
+dbbadccdbdcdcbb
+cddbbdddcbddbcbaacdcdabcbabbdbbcdcadaaaaccabdcdcddacaabbacacacbbacaccbbdccababa
+acaddabcdbcbbbaaacccdaadacaaaaaabcbacabcdbdcaccbdbc
+ccdbbaacacdbcdadaacdaaccbddcccbabacddaacdcacaacbdadadcadbdadbaaccbccbbbaacbdadbcaabaacbbaaacaacab
+cdddaccaacbaccbadccdabccaddcaddaaabbbcbbacddacddbacdccbdcacdddbacadaabbcadabdbabadbacbabddcccdacccc
+dcdbdcbacaaacabbddacaabdbacddccdbddcdaccdadccbabdbcacbcbccaaacdabc
+bdcdbcadbddcdadadacbdbbcbcacadbcacbdbdbcbaaccddcadcdabca
+cdcbccbacbbacaadbdbdbabaadaabcbacadcbcdbbcdaaaddccbdcdcbbddaadabaacbcdbddababbadbdcccddaadaccccabdda
+cbcabdacbcbbdadddcdaddabdbbaabbacadbbcbdccddcdacdcdaccdacbcbaabacccdddb
+ccddaaddabdcadbbaaaccdbbadabbbacdbbabbcaddbabcdaacccdddbcccdcaabbdaddabadbbacdacccacaaacaadcacdb
+bdaccbcbdaaadadcabdbbcbaacdbdccbaaaacacbabdaaaaaccadccaabacbbddbbabbbbbcbcaaaddbabaddbccdabbdddcbdabdaaccbbc
+bbbabaadcbdabdaadcadabdcddacdbababbcbbaaacddbddbadccccdbcbaccbcdcaacdcdcccddba
+bdbdcdcaacacdddbabbdccacabbaacacdbccabdaabdcbcdcbbbadcbdadcccbdacdbbbabadadbcaabbbdcbbabcabcd
+dacdcaacdabac
+dcabaddcbcaccbcbbcddabccabdbdddabcdddbcccdbdbabdabbcdb
+baacdcacbddcddcdadabdbcbabdbbbcbbdcaabbcbdad
+ccbcacacacbddbbddcdbbbaaabcdaacdabacbcdcdbcccdabcddaacacbddbcccacccdaaacaccddccaabcbdccadbc
+184 131
+bbabbbaabbaaaabbbbbbaabaaaabaabb
+aabbaabbaabbabbaaaaabaabbbaaaaa
+baabaabbaaabbaba
+bbaaaabbbabbaabbabbbbbbbaabaabaabbabbaaaaabaabbbaaabbbbaabbaaaaaaabbaababa
+baaabbaabaaabbabbabbbbbaababbabababbaabaaaabbbbabaabbbbbbbbbaaaaaababaababbabbaabaabbabbaababaaabaaab
+aaaaabbaaabaaaabaabaabababbaaabbbbbab
+aaaabbabbabababaabbbabbbbbaaabaabbbabbaabbaaabaabbaaaabaaabbbbbabbabaabbbababbbbaaaabbbbbbbb
+aabbabbbabababbbababbaabababaababaaabbbbaabbabababababbaaaaaaaaabbbbaaabbaaabbabbbaabaaaa
+baabbaaabbbbabbaaabbbbbbbaabbbaabab
+abaabaaaaaaabbbaabaabbababbbabaaababbbabbbbbabaabababaaababbaaa
+aaaaabbbbaaabbaaaaababbaabbabbabbbabaabaaababbbbabbbaabbbaababaabaababaaaaaaabbbbaaabaabbaaaababaaabbaaa
+aaaaaaaabbbabaaaababbbbaaabaaaaabaabbabaababaabbbbabbbaabaaabbbbbababaaababaabbaaababba
+ababbabaaabaabbbaabaaabbaaaaabbaabaaababbaabaabbaababababbbbaabbbaaabaababaaabbabababbbaaaaa
+babaaabbabbaababbbbbababbabaaaababbbbaaabbabaaabbaababbbabbbabaaababbaabbaabbababbbbaaaababaababbb
+aabbabbaaabbbabbabaa
+babbbbaabaabbbbbaabbaabbbbbaababbbbabbbaaaabaaaaabbbaabaabbababbabababbabaaabaabbbbaaabbaaaabbabbaabbab
+bbbaaabaaaaaababbababbabbabbaabba
+bbaabbbaaabbbbaaaabbababaaabbba
+babbbbbabbaaabaabbbbabbaa
+aabbbaabbbbbabaabbbbbbbaabbbabbaabaaaaaaababbaaabbbabbaaaaaaaaaaaabba
+ababbbaaababaaabbababbabaaaaabaaaabbbabbaabbbbaabbaabaabbabaabbbababaaababbaaabbabbabbaabbba
+aabaaabaababaaaabababababbababbabababbaaababbaabaaabbaaaaaaababbaa
+bbabaaaaaabbabbbaaabbaaabaaaabababaaaabbabaaaaabbbbaaabbbbbbbbbbbabbbaaabaaaaabbbab
+baaabbaaababbabbbbabbabbababbbbbaababaabaaaabb
+baabababaababbaaabbaaaaaaabbbbabbababbbaaaaabbaabbaaaabaaabababbaabbbbaabbabbbbbabbaaabaaaababbb
+baaabbbbabaabbbbabbbbbababababbaababbaaabbaabaaaaaabbbaabaaabaaaaabb
+abbaababbbbbbbbaa
+bbbbaabaaabaaabbabbbaab
+babbabaaaaaabbaabbbaaaababaaabbababbbbabbbabbbaaaaabbbabaaabaabaabaaabbabbabbaababaababbbabbbbbbbaa
+aabaaabbaaaaaaabaaabaabbbbaabbbaabaababbabbbaabaa
+bbababababbbabababbabbbbabaaaabbabaaaabb
+abbbbabaabbabbabbbbabbabaaaababaabbabaaaaaaaaabbabbbababaaabbbaaabbabbaaaabaaabaaaabbbaaaaaabababbaa
+babbaaabbbbaabbbbbbabbaabbaba
+babaaaababaababbbbbaaaaabaaaaababbaabbaaababaaaabbabbabbbaaabbabbbbabbaaabaaaababaa
+babbabbabbbbaabaabbbab
+abbabbaaaaabbbbbbabbaabbabbaaabbabbbbbbabbba
+abbbbaaabbabbbbbabaabbb
+babbbaabbbbbbbaabbbbbbbaabbabbbbabbabbbabbaaaaabaabbaaabab
+aaabaabaababababbaabbbbbbaabaaaaaabbbabbaababbabbaaabbaaabaaaaaabbbaaabaabb
+abbabbaaaaabbababaaaabaaaabbbbbbaabababbbbbaabaaabbbababaababbabbaabbbaabbaabababbbabbabbbaaa
+aaaabbbaabbaaaabbabbbabbaabab
+abaaabaaabbaababbbabaaa
+aabbaabbaabbbababbbbbababaaaaabbbabbbbaaabbaaabab
+abbaabaaaaabaababbabbbbaabbaaaaaabbaabababaa
+bbaaaaababbbbbbaabbbbbabaaabbbaaabbaabbbababaabbbbaa
+aabaaaabbabbabaaaabaabbbbabaaaabababbbbaabbbbbabaaaabaabbbaaaabbaabaababbbabbabaabbaabbaabbbaabaaaaaa
+abbbabbabbaabbbabbbbbbaaabbbaaaaaabaaaaaababbbabaaaaabbaabbbbb
+bbbabaabbaabbbbabaaaababababbbaaaaabaabaabaaabbabaabaaaabaaabbbaabbb
+ababbbabbbabbbaaababaaaaa
+abaabababa
+bbbbbaaabbbbbbbabbaab
+aabaaaaaabaabbaaababaabbaabaabbabab
+bbabbbbbaaaabbbbaabaabbaaabbabbbabababaaaaaaabababaabbaababbbbbabbaaabaaaabababaabaaababbaaabbbbbabbbaa
+aaaabbaabbbbabbbbbaaaaaabbabbbaaaaabaaabaaaaababbbbbbaba
+bbbbbabababababbabaaaabaabbbabaabbaaaaaabaaaaaaaaabbaaabaaaabbbabbbb
+abaabaabbbabaabbbabbababaaabbbaabababbbababbbbabbabbbaaababbaababaaaaabbabaaabbabbbbbbbbbabba
+baaaabbaaabbabbaaaaaaabbabbbbbbaaababaaba
+bababbbbabaabaabbaabbabbabbbabbbbaabababbbaabaabaaabaaaababaaabbbaaaabababbababaabaabb
+bbababbbbbbaabbbbbbbaaaababaabaaabbabbbbbbabaaabbbbaaaaababaaab
+aabababbbbbbaababaabbaabbabbaaaaabbbbababbbbbabbbbbbaabbabbaaaabaabaaaaaa
+bbabababaaaaaaaababbbbbbaabbaabaababbaabababaabbbabaaabbaa
+abababaabbabaabbaaaabbabbabaabaabbabbbbaaaaa
+babbbaabbabbbababbaaaabaaabaaaababbbbbaabbaabbbaabaaaaabbabaaaaaaaababababaabab
+baaabababbbbabababbabbababbabaaabbbbbaaaabbaabbbbbaabaaaabaabaaabbabbaabaaabbabbbbaababbba
+aabbbbaabbabaababaaabbababbbbabababbabba
+abbbabababaabaaabaababbaaba
+bbababababbaaabbbabbaabbabaababaaaabbbabaaaabbabbbabbbbbbbbababbb
+bbaabbaabbbaaaaababbbbbbaaaaab
+babbbaaaaaaababaabb
+aaabaaabbaabaaaaabaabbbbbbaaabbbaaaaaaaabbaabbbaabaaabbbbabbbbbaaabbababbbaaaaabbaabbbaaab
+abaaaabbbaaaabbbbbabbbbbbabbbbbbbabaabaaaababaaabbabb
+aaabbababb
+bbabbaabbbaaabbbabaaaaababaabbbaaabbbbb
+aaabbabbbabbbabbbbbbabbbababaaaababbababbaaaaabbaabbaaaabaababbabaabaaabbaaaababbaaabbaaaababbabbbbaabbababab
+bbbbbbabaabbbabbabbaababbaaaababbaaaa
+baababbbbbaabbabaaabbbbbbbbabbbbbaaabababbaaabbaabababbbaaaababbabaaaabaababbbabbabbaaab
+bbbbaabaaabbbbabbabbababbaaabbabaaabaaaaa
+aaabbbaabbbbaabbbbaabbaabababaaaabaabba
+bbaaaaaaaaabbbbbabababaaaaaabaaaabababaababbaaba
+baaababaabbbbbbbbbbbaaabaaaaababaaabb
+aaaaabbbbbbbbabbbaaabababaabbbaababbaaabbaaaaaabaaaaaaaaaaabbabbabaaaabbbababababbbbbaababbaaabbab
+abababbababbabbb
+bababbbbaaaaababaaabaabbbaaabbabbaaaabbabaabbbabbbabbaaaba
+babbabaaaaaaabbbabaabaabbaabbbabaaaabaaabb
+aababbbbbababaaabbabbbabbbbbabbbaabaabbbababbbbbbbabbabababbabaaaabbababbaabbaabaaabbbaabb
+abbbbbaaabbbaaabbaabababbaaaaabbbaabbbbbbbbbababbbbbbaabbaabbbaabbabb
+abbaaabaaa
+bbabbbbbbaababababaaaba
+bbbbbabaabbbaababbababaabababaaabbbbbb
+bbaaabaabbaabaabaaaaaaaababbbaaabbabbaaabbbbabbbabbabaaabaaababbbaa
+baabaabbbaaaaabbbabaaaabbababbaaabbbbabaabbbaaabaaabbaabbbaababbbbbbabbaabbabaaabbbbbbbb
+aaabababbbabbaabaabbaabaaabbbbabbbbbaaabbaaabaaabbabaaabbbaaabbbbbabbabbaabbbabbbaabbabbbabaababababbaaabbbab
+baaaaabbaaaaaabbaabbbbaaabbaa
+bbababbbbababaaaaabbbababbbaaaababaaaabb
+baaabaaabaabaaaaaabaabbbaabbbababbaaabbbbbbaabbbaabb
+baaabbabbaabaaaabbbbbbabababbbbaaababbaabbbabbbbabbbaababaabbbbbaabbbabbabbabbabaaaaaaababbabbaaba
+aabbbabbaabbbaaaabbabababbaa
+aabababbabaababbaaabbbbabaa
+bbbbabbbbaaabbababaaabbaaaaaabaabbabbbaaaaaabaaabbbababbabbbabaabaaaab
+bbabbbbabbbaaaabaaabbbbbabaaabbabababbbaaaaaaabbbabaabbbbaaaaaaaa
+baabbbaabababbabbabbbaabaaaabbbaaabaabbabbababbabbbbbaabaaabbbaaabbbbabbbb
+abaabbbbbbaabbbaaaaaaabbaaabababbaaaaaabaabbaaabaaabbababbabaabbbbbabaaabab
+bababaaababbaabbaaaaabaaaaababbabbbbb
+babbababababa
+bbbabaaaabaababbaaaabbababbababaaabaabbababbbbbaaaaaabaabbbbbbbaaaabaababbababbaababba
+aaaaabbbaabaaaaabbaaabbabbbbabbabaabbaabbbaabbbabbaaabbaba
+bbbabaabbbbabaabbbbbbaaaabbaaababbabbbabaaabbaaabbabababaabaabbaabbbabbbbbaabaabaabababbb
+bbabbbabbaabbaaaaabaabaaaaabbbbbbbabbbaaabbaaabbbaabbabbaabbbababbbaaaaab
+abaabbbbababaabbbaabaaabb
+abbabaabbaaaabbaaaaabb
+babaaabbabaabbbaabbababaabbbaaaabaabbabbabbbbaaabbbaaabbaabbbabbbbabbaaaaaaabaaabb
+baaabbbbaabaaaaabaaababaaab
+bbaabaaabbabbbbabbaabababbaaab
+bbbababbabbabbbaaabaababbbabbbbbabbabb
+abaaaabbaabbbababbbbabaaaaabbbbaabbbaaaaabaabbbabbaaababbaabaababaaabbbbbababaabbaab
+aaaaababaabaaaaabbabbbbbabbbbbabababbbbabaaababbbabbaaaaabbaaaaabaabbbbabbbaba
+baabbaabbaababbaabaaabbaa
+aababbbabbbbbbabbaabbbabbabaaaabaababaabaaabababbbbbaabbbbbbbbabbababbaba
+abbabbabbbabbbaaaabaababbabbbaabaabaaaabbbaaabaababbabaaaaabbaaababaababa
+bbbbabbbaaabbbabbabbbaaabaa
+bbaaaabaabaaabbbbabbaabbbaa
+bababaaaabbabbbbbbbbabaaabbbabbaabaabbbbbbbabbaabbababbaaabaaaabbaabaaaabaabbaabbbbaabbabaaaba
+aaababaababbbaabbbbabbbbabaabbbababbbbbbababababaaabbaababbaaaabbabb
+baaabbabbbbbaaabbbaaaaababbaaabababaabaaaabbababbbaabbbaaabaaaabbbaabbabbabaaabaa
+babbbbbbbaaabbbbbbabbabbbbbaababaababbbaababbabbbaaaaaabbabaaaaaabbbaabaaaabaabaabbbab
+babbbbabaabbabbb
+bbaababaabbbbbbaabaaabbaabaaabbababbbbbbaabbaababaabababababbababaabbbbbbbaaabaabab
+bbbbbabbabbaabaabbbababbb
+baaaaabababbbbabbabbbaaaaaabbbba
+ababbaaabbaabbaaaabaabbabbbaabaabbbaabbbaaabbbbbabbbbaaabbabbbaabaabbababbbabaaabaabaaabaaa
+abbbbbabaaabbabbaabbbabaabbabababbbaabbabbbababaaaaabaaabbbabaababbabaababaabbaabaaaaabbbba
+bbbbabaaaaabbabababaaabaabaabbaaaabbbaaaabbaabbabbabbbbbaabbabbabbababbabaabbbaabaabbbabbbababbabaabbbbab
+bbababbbbaabaaaabaaababababbbbaa
+aaaabbbaababbbbbbbaabbabbbaaaabaaabbaaabbabbaababbbbababbaaaaabbba
+bbababbaaaaababababababababbbabbaaaababbbbbabaababbabaabbabbbababbbbbabbaabaaaaaaaaabbbaabbaabb
+bbbbaaabaaaabaaaaabbaabbbbbbaa
+aabbbbabbaaaabbbabaababaaabaaaaabbbbbbababaababaababbbbaaabaaababbbbbbaaabbbbaabbabbaabaababbbbaaababbaabb
+bbbbabaaaabaaaaabbbabbbaabbbaababaaaabbbbabaaabbaababbaaaaaabbbaaaababaabababbbaaa
+aabaabbbaaabbbaaaaaabbbbbababbaabababaabbaabaabaaaaaababbbbabbababbbbaabaaaababaaabbbbaabaabaaaaa
+aaabbababbabaaaaabbaaabbbbababaaaaaabaabaaaaabbbbababbbababbaaabaabbaabbaabaababbaababbbbbbaaabaa
+bbbabbaabbaaaababbabbbaaabababbaababbbbabbaa
+aaabbababbbaaabbabaaaaabbaaabbbabbabbbaabbbbbababbbbbababbabababaaabbbbbbbb
+aabaaabbbaaabbbaaaa
+abaababbababaaabaaabbbabbaaabbabaaabbbaabbaaabaaaabababbbbabbbabaababbbbabbbbaaabaaabababaababaa
+abbbaababbaabbbabbabbbbababaaababbabababbabbaaabbbbbbbababbaaaaababbbbbbbbbbaaaaaaabbaabaaaaaa
+aabbbaababaababbabaaabaaabbaabbbbbabbaaab
+abaabbababbabbaabbababababbaaabbabbabaaaababbababaaaababa
+aaabbbbbabababaabbbbbabaabbaabbbbbaabbababbbbaaaababaaababbaabbaab
+bbbbbabbbabbbabbbbbabaaaabaaaaabaabaaabaaaaabbbababbbbbbbaaaabbaaabaabbaaaaaaabbaabbaabbaaabababbaa
+baaaaaaaabaabababbbbababbba
+aabbabbabbbbababaabbaaaaaaaaababbaaaabbabaabaaaabaabbbb
+abaaabaabbbaaaabaaabbaabbbbaaaabbaabbabbbbababbababaabbaaaabbbabaabbbaaaaaabbbbabbaaaabaabbaababbbbabaaabb
+baaaabaaabbabbbaabaaaab
+babbabbabbababbababbbbbbbbbbaaaaaaaabaabbbbbbbbbbbaabbbabbbbaabbaabaabbabaaababbbbbbbbbaaabbbaa
+babbbaaaaabbaababaaabbabaabbbaabaabababaaabbabbaabab
+aaabaababababbabbbbaaaabbaababaababaabbbababbbbabbbaabbabbabbbaabaaaaabbaabbbababbbbbbababbbabbbabbbb
+aaabababaabbbbbbabbbaabbbaabaababbabbaaaab
+bbabaaaabaabbabbbbbababbaabaabbbbbbbbabbabbaabbaa
+aaaaaaaaabbbbaaaaabaaaaaaaababbbbbbbbaabbbbbbabbabbabbaaaaaaabbabbbbaabbaaababaabaaaabbabbabbbabaabbbaaaa
+aabbabababababbabababbbbbbabbaabaaaabbaabbababbbbaaabbaaaabbabbaababababaaabb
+abbbabbbbbbbabbbbabbbaaaaaabbbaabababbbaaabbaabaabbaaa
+baaaaaabbaabbbabaabaabaabbbbabababaabaabbaabbbbbbababaaaaaaaababbbaaa
+babaaaabbbb
+abababbabbabbbaba
+baabababaabbabababbaaaaabaabbaaaaabbbabaaabaaaaababbabaababbabaa
+babaabbaaabb
+aaaabaaaaaaabbaabbaaab
+bbabbbbbbbbbbbaaabbaaabbaaaab
+aaabbbaaababbaabbaababbbaaabbbbbbaabbabbabaaaaaaabbbaabbbbabba
+aabbbbababaaabbaabbaaaaabbabbabbabbbabbbabbbaababbaaabbaaaaabbababbbbbaab
+aabbaaaabaabbbaba
+baabaaabbababbbaaaaaaaaabbabbaabbbbbbaabbbaaaa
+aabbabbaaaabbaabaabbabaaaabbaabbabaaaa
+bababaaaaaaabbababaabbaabbbbbbaabaababaabbbababaabaaaab
+bbaabbaabaaaabbbbaaab
+bbababaabaabaabaaababbaabbbabbabaababbabbaabb
+ababaaaabaabbbabbabba
+babababaabbbbbababaaaaaabbabaaabaaabbabaabaaaabbbabababaaabaaabbbaba
+bbabaaabbabaababbabaaaabbabbbabbabbabababaaaaabababaaabaababababbabbbabbbbb
+bbbabbbbbababaaabaabbabbabababbaababbbabaaaabaaaaabbababa
+abbbaabbaaabbaa
+abbbaabbabababbbaabbbbbbababbaabbbbbbbabaaaaabaaaabbbbaaabbbbbaabaaaababbababaabaaaabbababaabbbb
+bbbbbaabbbaaaababbbabbbbbabbaaaaabaabbbababaabbabbabbaabbbbababaab
+bbbaaaabaaa
+43 9
+acbcddccdbadabbbcacdcd
+dabcacdadbabddbdccdabbdaaadbdbbcbbaadadbdbccbcdddaabbdddccdddaccbbcdcbdbdcbabbdbdaabddcbbcdaabcca
+bbcdbccaddacbdcbacadcbbbdddabdddddcbddb
+badadbbbdccbbadaadadacacc
+bdaabbdaaaaddaadbddbcaaadcbabdaddaadacdbdaaaadbdddbcddcbdadbabcc
+cadaacbddacdaadcabdcccbadbcaddbcbbbcacddbcdcadcbdddacdadbccbdababcbdccdcbdcdbdacbadaabacc
+bdacaccccdabddabbdcdcada
+bcbbcdbadbbabadcbbbdaacbdcaaabcabdbabcdbaacaabacbbbbadcdbcdcdcdccdaacbbdbccddcabccaabb
+bccdbaabdbcdbadbbcdcb
+bcdcdcdccbdc
+bccbdcacaacdddbbdbaacccabdbdbba
+dcdbacacdabbcdcddcbbcddcbbcbbbbbbdcacccabbdcdadaddbcbdabcadbbdcdccbbbbdbaacabddadbdbacadcdbcabaccdaadadc
+adcaabddadabcaadcdabadaddadbdabcaaccddbccdcdbabbabdbacddbacddabcacbdabadbacb
+acbcacdbcadbddbdcbacadcdacbbbbadcacbabbcdacbbaabcbbbcb
+dbadadbbdacccaaaacdabcabdcacddcaaaabcadacbcbddbadddcaaddaabbdbbbdcddbadabdacabbddbaadabdaaabbcdcdadabbacddba
+aabdcbdaccccaccabadcacdbbadccddbdcadcdcdaabbdbdbdbcbabcaaaaacdcdddcbbbbbbbbaabbabacbdaadabcaabacddaa
+accccaaabdadbccddaabcdacadbbcbacccbacacdadadabcdbbbbabcabcabbdadbacbacadabcaaccbccdbacdbcbbdbcdb
+dacbccadcabacdcacccdcbaddddabcbcdbbddccbdaccbbabcddccbbcacbbacbadbaddcca
+cdbbdadaccbbacdcdb
+dbbadddadbcaadadadaabaddbdabdacdaddccdbdcabcdccacadcdaaaabccbcdcaddaddaaddbabdcbbbadbababaccdbbdd
+aaccccbbdbbbbbddacbdcddbdadadbbbbdaacbbacadddbcccabbbbbcabbbaad
+cdccccacababcaacdaaabdadadabaddddbbddbcaaddaccdbbaacabddaccbccbbbbdbbadaca
+cdcbcbdadddadcaabdabcddccccbddbcacdabd
+accdacccbbaad
+dcccccabaaaabccaddddaabcaababadaadddcbbccdddcac
+bbdbdcaabacadbddcdabcbbdbc
+baddddcaabdbabdbadbbabbdacdddcbcdddbccdaacdabaccacbdbabaabcbadcbbcaddabddddbbcbdabbdacdccccabddbbcdd
+bcaaddadcbbabdcbbbacccdabddadbdbdddccbbdbdadbbdbbddacbdbabcbdaadcdddcdadccbdbcbdcd
+daddccbdabdbabdcbbabbcaaccaccadcaadbadbbbbdadacbabdaabababdddbcbdbbc
+bbacaabdbcbaccb
+aaaababbbcdbbcaacbddbddadabdcbaaddbcbcabcaababcbbbbaacdaccdddcdadaaaadaabbacdbdadbadddc
+daabdaaadadcbcaacddbccdddaaabbcacddcaabadbbbdcddacacdbbdbccddbaaabdbaabbcaacbbdacaaabdacccbccdbadc
+cbbbdadddcbdddacbbdbadcadbccdabcadddbbdcaddaaacdbbcdddb
+dcdddbbaacaacadbdacbbbbadbbdaabadbcdabbadabbcbbbdaaddcaabdddababdcdbaadcbbbbadcbbadadabcbaadaaabccadbaad
+ddcaccadddab
+ccdccccbcaccbbaaaccddbbccbcabbdcbaaabda
+caaddacabaaaadcbdcdccbbdabbcbacddadbcddcadddbddcdcdaccccdcbaaadaddabddcbbabcadbaccbbbcd
+cacbadaaba
+bbcbcdabcdcbddbadabbcaadabbacdcbbbdbd
+adddbcaaddcaacbadcdcbdadcdccdddcbdbcbdbdcaacaadcaacbbdacbbbacadadddaaccadadccbabdababddaadcbbdacabaa
+dacbddcbdacacdabbcdabdcddcbbcdbacdcbddabcaaadbdcdacbdbdaccbcbcadbbabacbaccdcadbbcdbbbddcbaadacbabaabbbb
+acbaaddcadccddbdbdaddcccadabccbcdabbcaababdcac
+adddbcaaddcddcacaaababddcbbadcdbbbbdcbcbcdccbadbcbbcadacbbbacabacdcccbcabddcbdaccbaadaddccbdabbabcdcdbddbb
+22 3
+bababbbbaabbabbbaaaabbbbabbbabbaabaabababbaaaabbaabbabbaababaabaababbbaaaaab
+baabbaaababbabbaaaaaabaaaabaaabb
+aaabbabbabbbaabbaaabaaabbbaaaaabbaaaaaabbaaaaaabbabbabbabbabaababbbbbaabaaabbabbaaababbbbaabaabbbaa
+baaabbbababbabbaaabbbabaaabbbaabaaabbbaabaabbbabbabbbbaaababbabababbaaaa
+baaaabaaabaaabbaabbababbbaabbababbbbabbabbbbabbaabbbbbaabbaabaaababaaaaaaaaaabaaabb
+aabaabbbbbbbbabaaabbbababbababaaaaaabaaaaababbbbaaabbababbaaaabb
+aabbbaabbabbaaaaaaababbaaaabbbabbaabbbaaaababbaababaaabaaaaaabba
+aabaaaaaababaaabbaaaabbabbabaaabbaaab
+bbbbabaaaaaabaaabbabaabababbabbabbbabaaaaabababaabb
+abaababaabbbaabababaaaaababbbabbaaaaaabbbabbaabbbbbaaabbabbbbabbbbabaababbbbbaabaababbbbbb
+bbbaaaaabaababbaaaabaaaaabbbaaaaabaababaaabbbbbabbbbabbbaaabbaababababaabaaaaaabbbbaaaaabbbaabbbbaaaabababbaa
+abbababbbaaabbabaaaababbbaabbbbabbabbbbbaabbaababbbbabbaaaaaabbbaaaabbaaaa
+aabaaaaaaabbaabbababaababbabaabbbbbbbbbbabaaabbaabaaaabbaababaaaaabbbabbabbaaa
+bbaaaaabbbbbaababbbaababbababaabbbbbbabbaababaabbbbbbaabbaa
+aabbbbabababbbbababaabbbbaabbabaaaabbbba
+abaaaaaabbbbaababbaaabaabbaabbabbabaaaaaabbababba
+babababbbbbbabbaaabbaabababbbbbbbbaababaaabaaaaaa
+baaaabbabbbbaabbbbabaaabaababaaaaabbbbbabababaaaabaababbaabab
+bababbaabaaaabaaabaaaabbaaabbaaaabbb
+aaabbbaaabaaaaaabbaaabaaabaabaaabbbabbaaaabbbbaababbbaaaababbbbbbbbbabbaabaabaa
+aabbabbbaaaabaaabbaaabbb
+bbbbbbaababbabbaabaabbaa
+92 32
+abacccaaaccbbbbacbaacabcacb
+caccaabaabcbaabbbbacba
+bbbbcbccaaaaacccacccabbbabaabcabaacabcbabcbbabcaccccbaacacacccbcbcbcbacbacbacbaccbccacbbcababbbcbaba
+abacaccbacabaacbaacacaaaccbaabaaababcbabccbcbcccacbacabbabcccccbaabccabcccbabbbbbcacaaaccaa
+ccbaaacbbbcbbaabababccbcbaabbacabcbbabbbbbbaabacabacbcabcbbabbaaba
+babaaccaccaaaccabcabbccbccccaccbccbcbcabccccbcabacaaabcbbabcbbcacbbabaacaaaacbba
+cbcbbcaaacccbcaabbcbccbcabacbcbccbacbcccaaaacabbaccbcabaac
+cbacbbccbaaabaaccbbabaaacbbbaccccbabcbacbccaaabbbbbbcbbccbcccababaacccbbccbcbbbabaccbcaac
+acbbccabacbcaaacbaacacabcacabaaaaabbbbaccabcbcc
+aacbccacbaabacbbaaacbabbcacacbccacbbbcaaaccbcabaacbcbaaaabcbabaaa
+abccabacabcabbbcbcabbccbcbabaaccaacbbbaaaacaaaaabccbaabbbbbabbbacacbbacbbaabbcccacbababbabbc
+cbcabbabbbbaaaaabcababccbbccbaaaaaaabbbcaaaaaccbaaaaabbccabbbabcbcbcaccbcbbabcaaaaabccccbbabcacabbbba
+babbbbbbbccabacabaabbacbbabbaacaccabcbcbbabbcbccabacccaca
+abccbbccccbcbbabccacacbbaabacabbabbbccaaaba
+bccabbccacbccbbacaacbbcbbbbacacacbbbaabcbcaabaabbacbbacbbaabbcbabaccaabbcaaabcacabcacacaacbaccbaaabbcacaaca
+bbbccacbabbbabacbaacaaaccbabbccaaabcbbbbaaac
+abcbcaaabcabaacbbbbbbcba
+aabaababbcacbbcbbbacbccacccbaccababcbccaaaabccacccacbaccacaaaacbb
+bbcbbaabacbc
+bcbabbcbabcacacabcabbbcb
+abcacbbabbbccabcbacaabcbccccabbabbcbaaaabaccabcabb
+acabcccbbbbbbaabacbccaaababbccabaccaa
+cabaccbbbbbabccbcabccacabacbacaabcbbabbbcccbaabcbcbaaacbcbcbacabccbcccbcbbcbcbacbaaabbcaaaabbbcabb
+bcbaabaaabccbaaaacbcaacbccbbcacababbcabaaacabbbbaabbca
+aacbbbcbbbaac
+baabcbcbbbcccbbcbcbabbabaabccaccbccabcbabacaaaaacbabccbcccaababbbaaaacccbcccaaabbabbbbabcb
+cccabccccaacacbaaaacbccabacacbacaabcaaabacacaaccabbabacabcc
+cabbcacbcaacababcbbbcabaabaacccacbbbcbacaccaabcaaacbcaaaabbbaacccbaaababaabbcbcbbabcbaabbcac
+cbccbabcbbabaaabbaacbcccbbccc
+aaaabbabbababccabcbaabbb
+baccccbbcabaacccbabcacacbcbbabc
+bbccaacbabaccaacabbcaccbca
+cabbbaaababbabbbabcbcaccbabaabbacbbabacbaacabb
+abbbbabcaaccbbcacbcbbaabbbbaaaaaacabcabaacaacbaabcbaa
+ccbcbbbccacbabbcbccbccaccaacbabccbbcacccbbaaccbbcabaacbcaccacbacaba
+abacbbbccacbaab
+caacbccbbaaaabccaaacaac
+bcbcbcccabbaabbbaaacbccccacaaaacaaacbcaac
+bbaabbcbbabbcbaababccbbcacacccacccccbacbacccbcacccabcbbbcacbcccbccbcbcbbacbbbcbbaabacaabcabaacbcbab
+aaacacbaaacabaccbccbaa
+abaabbaababacccbcccabcacbab
+abbbcacbaccbbbbbbbbaccaccbbccccbcbabcbbbaaabaccacbbcbbbcaaabccca
+cbcccacbacbaccbccbababcbbcaacaabccbccccaccacabaaabccbacaaaaaccbaac
+cabacbcacccbacacabcccbbabcbbbbabbbaacaaccaaccccccaacbcbbbccbcbabccbaacabcbccaab
+ababcaccbbacaaaababcbbcbabcbaaccccbccbccacbabbcbbabbbcbaaabccaaaacabcbcbcccccabcb
+babbcacbbccabcabbbbbabbabaacbcccaaabcaabbabaabbabbbabcbcccbbbacaaacbaababcbbcbbaabbbbbbabacacaaabbaaccac
+baacaacccabbcbaacbbbbbcccbacbbaacbcbbaabbbcabaaababcbaabbccabacabaccabbbaabbccaccc
+babccbbcacabccbcbbccbaacbccccccbccaccaaacaacbaacbacbcacbbcaabbcbacccaaccbacaccacacbcbbcaa
+ccbaaacabaacbabbababccccccabbcaacbaabbccaabacbbbacbbcbacccacacbcabcab
+bacbbbbbccbbccbabbbbcbccaaccbabbacbaacbcacacabbcacacbaccacccbaccabbab
+baababcbababaacbcbccccabbacababbabbacaabbbaaab
+bccacaaacabaccacbabbabcacbbcbbaccaabcb
+bcabaccccbbbcbbbacbbabcccbccbabaabacabccacaabbcabc
+abbbaabbacbaaacaaabaaccbcbaabccbbccaaaabcacbccacab
+abbbacbcabacacbabbbbabbbcbbcabbbbacaaaaacbabaaababbcabcccccca
+bcaaccbcbcabacabcbbcbaccbbaccbbcaacabbaabbacaaaacaacbbac
+bbcabcbcbccabacbbbbcacbababcbabbcbacaaccb
+caaccabaaccccaaacabacbabcaccbaabcbabaacacbaacabbcbbbcbcbbcaacacbbaabbabbbccbbcbcaaccc
+acccaabbcbabcabccaaacabaa
+ccaacacaaa
+bcccbacbcacaccabbbccabbcbbccabbacaabcbcacbcaacaccabccbcaacaabbbba
+cbbbabcabcbcbaacbcabaabbbbbbacacabaabbccaaababacbaacaaacacabcacabcbaccbabbccaabccbaccbabcbbacacab
+ccbabbcccccacccacbccbbaabcaabbcaaacbcbbcabbccbbcbaaaccbaaacaacacbccbaabbcaccacbacacaabbcacbaaacbc
+bbaaaaaababbaaaacabccbbbbbababcbaabcabcabcbccbaccabcbbacaccbacacbab
+aabccaccbabbcaabaacbabababbccbcbacbcbaccbcaaabbbacbbccabcccacbcaabcbcabaaaababcabaaccaacccccc
+acbccabaaaabaabccccaabcaccabcaaaccbaaccbcbaccaaaabcacbcabbaaaabbcbccbccaa
+bbbcacabaabcbcabbbbaacbcb
+acacaaabaabaabcbcacaaaabcbbcbcaabcabcccabcb
+aabbaaccaccabbcbbcbcccabcbcacabaccabcaabcccabaaabbbbaabaccabcabbaccbccaabcacbcbcbbacccaccbaac
+cccbbccaacccaaccbbbbaacbbcbbcbbbbccbbaacbccaccbacccaaacaccaabababcbbbaacabcbccbc
+aaaabacabbbaccbabacaacbaabcbcbcabacbbaaacbcaaccaaacabaabbbcbbbc
+abacabbbbccbbccabcccbcaabaacacacacbccacbcbaacbabaaacbaccccaaaabaaccacbacccacacbaabbcacabbcbabbbcbccccab
+bbbaacabcbababaabbacacccbacbabcaaabcbcbbcbbcabbaaaaaabbcaacabbccacabaabcbabaacabacacaaccacbaabbb
+abbbacbcbaaabbcbbbbacbbcbcaababcaabcabcaaccbbbababccabababbc
+cbacacbbbbaacbbabbaaaaabaaaacbcaccbcbaabccaaccabbccacca
+cccaccbbbcba
+caaaaaabbccbababcbccbcacbcaaaacbaaabbabbccaabcccbcaabbaaabbccbccbbbccbccaacaaccaccc
+bbbcabbbabaccbbbccccabcacaccbcbccbbababccabccbbabbaccccbcca
+bbaabbbabaabcbaabacbbbbcbabccaacbabbcacbbabcbccaccbaabccabacccbbabbccabaabc
+bbcccaabaccaabbbbbbaaccabcccacbbacccabcaababcaabcbcbbc
+acbcaccaacbbaacaababab
+aacaaabcaaacbcbbaaabbcbccabbca
+ababaaaccabbacaababcccacbcbaabc
+aacbcaaaabccaabccacabcbcaabccbcbabbbacbbabccaaabcacbcccbbacbcbbacbccbabbccabbaacccaaabc
+acacccabccacabacbaaaccababccbacbbbacbaaaaaacacbaaacccbcbcaaaaccbcaa
+abbbababcabaacbccbaabbcccabbbbabcaabbaaaababcbccbcaccaabbabc
+aaaaccaacacaaabacabcaaabaabcbaccabbaca
+ccacbbbccabcabbbacbaccabaccbcbcaccbcabbbacbcaaacaabcccaccacbaabacccabbbbcabc
+cccbaababaccaabcaabbcacaabbbbccabbcbbbbacbcbbaacaabbbcbccaaaacbbccacabbba
+bbbcccbbacbbacbbccbaacaabaabbaa
+cabbbbcccbaacbbbaacaaabcabaaaabccbcbbacbcbaacaabaaacccbcaccabbabbcccbcbcbabaabbc
+abccbbcbbaacbbabbbcccbabbabbbcaabbbcacababcbcccbaccacbbcacbcaaaacaccbccabbc
+240 96
+bbbbbaaabaaaabbbbabaababbbbbaabbbbabbaaabaabaaabaaabbabbbbbbbbbaaaaabbbaaaaa
+ababbbbbbbbbaaabbaabaabbaaababbabbabaabbbbaaabbbabababaaaaababbabbababbbaababbababbb
+babbbbaaabbaabababbaa
+aaababaaabaabaabbaabbbbaabaaaabbbabaabaababaaabaaabaabaabbbabababbaabbab
+ababbbbbaaaabbbaababbabbbba
+aababbaaaaabbabaaaaaaaabbbababaaaabaabbbabaaaaaabbbbaaa
+aaababbaabbaabbbbaaabaaaaabbababbabaaababbabbaaabaaaaabbbabbaabbba
+aabbbabbabbbabaaabaaabbabbaaabbbbbaaa
+babababbbaabaabaabbabbbbbaabbbbbbabaaaaaaaabaabbbabbbaaaaaabaaaaaababbbaabbabbbabbbabaababbaaabaabbbab
+bababaabaaabbaabbbababbbbbabaaabbabbbaaaabaabaaaaaababbbabaaabba
+aabbababaaaabaabaabaabaaaabbabbbbaababbabbbbbbbbbabababbbbb
+abbbaaabbabbbbaababba
+bbbbbabbabbbbbabaaabaabaaaaabababaaaaa
+baaaaaababbaaabbababbbbabbaaababbb
+aaabbbbbbaaababababbbbabbaababbaabbbbaaabaaabbbababbbbabababbbabbbababb
+bbbbbabbbaabbababaaabbaaaaababbababaaaabbabaabbabbaabbbbbbbbababbabbbbbabbaaabbaabb
+bbbabbaaabbabbabaaabababbabbbbbaaabbbabbbabbab
+baabbabbababaababaababbabbbbabbaaababaabbaaaabababbaabbaabbbbb
+abaabbaaabababbaabbababbbabbbaababbbbbabaabaaabbaabaababbaaaaabbabbbaaabab
+aababababbbababaabaaabbabbabbabbaaababababbbaabbababababababababbabbbabbbbbab
+abbbabbaaaaababbababbbabbbbbabbbbababbbabbbabaabbaaababaaabaaaaabbbb
+bbbbaaabababaaaaabbbababaa
+aaaabbbbaabaabbabbabbabaabbbbbbbbaaabbbababababaaabbbabbbbbaabbaaaaaabaaababaababaaabaababababbabaabaabbbaaab
+aaababaababbbbababbabbbababaaabb
+abaababbbaabbaaabbabbbabbabbabbbabaabaabb
+aabbbbbabbabbabbababbababbaabaabbbabaabbbaabaabaaabbabbbabaaabbbbbabbbbabaabaabbabaaaaaabb
+bbbbbbabbbbbbbbbbbaabbaaaabbbbbbabaabbbbbab
+bbbababababaaaabbbbbaababbbbbababaaababbbaabbbaaabbaabaaaabaabbbbababaabaaaabaaaaab
+babaaaaaabbaaaababbbbbbaaabbabbaabaaa
+babbbabbbabaaabaabbbbaabbabbbaaabbbbbbabaaaaaabaabaababba
+aabbbabbbaaabbbbabaabababbbbaaabaabaaabbbaabbaabaaaabbaaaabaaaaaaaababaaabba
+bbbbbaaababbbbaabaabababbaaaabaabbbbababbaabbabaabbbabbbaabbabaababaabaaab
+aaabaaababaaaabbabbabbabaaaaaabbabaabbaaaaaaabaaabbbbaaaabbabbbbababaabbbaaababbaabbaab
+abbbaabbababbaabbbbaaabaaaaabababbabbaabaabaaaabaab
+aaaababbaaabbaabbaaabbaaaababbbbbab
+aabaaaaabbbbbaaabaababaaaabbbbbbbbababbbbabbababaabbbbabaaaabbabbabaaaabbaaabaaabbbabbabbbb
+abaaaaaabaaabababbabbbaaabbaaaabababbabbaabbaaa
+bbabbaaabaababbaaaabbaaabbaababaaabbbaaabbbbbbaaabaaabbabababaaaaaaabaaabbaaabbbba
+bbabaababaaaabababbbabababbbbbbaaaabbbaabaaaaaaaaabbaaba
+bbabbbbaaaabbaaabaaabbaabababbabbabbabbbabbbaabbbbbaaaaaabaababbaaabbbbabbbbbabaaaabaababbababbbbbbabaa
+bbbaabaaabbaaabbabaabbabbbbbbabbbabbbaabbabbabbabaaaabbabbbaabaaabbbbabababaabbbbaaaaaab
+bbbabaababaaaaabbabbb
+babbbbaababbbabbbbbababaababbaababbaaabbaabbabbaaaa
+baabbaabaabbaabaababbbaabbbbbbaababaabbabbabaaaabaaaaabbbbabbaaababaab
+abaaaabbaabaabbaababaabbbaaabbbbabbbababbabbaaababbbbaabbabaaabbabaabaababaaabbbaabbbbbbbbaaaabaaabb
+ababbaabababbababaaabbbabbaaa
+bbbaabbaaabbbbaabbbabaaaaaabaaabaaaabbbbaabbabbabbaaaabaaabbabbbbbabbbbbaaba
+abbbbbaabbaababbabaabbbaabaabbaabababa
+ababababab
+babbaabbbabababbaaaaabaabbbbbabbaaabbbbaaabbbbbabba
+aaabbbaababbababbbab
+aaaaabbbabaababbbbaaabaabaaabbbaababaab
+babbababbbababbaabaaaabbbaabababbbbaaaabbbbbbbbbbbaabbababbaabbaabaaabbbbbaabbaabbabab
+babbbabbbbabbabbaaabaaaaabbabbaaabaabaabbaabbba
+aaabbabaabbbbbaabbbbbbaabaaabbaabbabaaaaaabbbbbabbaaaaaab
+abbbbbababbaabbaaaabbbbbaaabbbbbbbbaaabb
+bbababaaaabbb
+bbabaabbbabaaabbbabbabaaabaabaa
+aaaaaaabbbbaaababbabaabaabbababbbabaabaabbbaababbbbaabbaababbbbbabbbbbbbabbbbbbbbbaaabababbbaababaaababaaaab
+baaaababbaaaaabbbbaabaaabbbbaabbaabaaaaaabbbbbaabaaaabaaabab
+aabbaabbbbaabbaababaabbaaababbaabbaba
+bbbbaabaaaaaaabaabbabbaabbbbbabaaabbbaaaabbabaaabbbabbbabaaabbbaabaaabbababaabbaabbbbbbbbbbbabab
+abbbbbbabababbaabbaaabbbbbabaabbabbaabaaabaababbab
+babbbababbabbabbaababababbbaabababbbbaabbabbbbaabbb
+bbaaabbabbbaabaabbaababbbbbabababbbbababaa
+aabbababbbbaabbaabbabbaaaababababbaaabbbabbabababbabbabbbb
+aababbbababbbbbbabbabaaaabaabbaaababbaab
+abaabbaabbb
+baaaabababaaabbbbbbbaabbaababbbaababbaabbaaaabaaaababbbbbbbbababbabbaababbbbaabaabaababaabbbbaaaab
+bbbababaabaababbabbbabbaababaabbbaaabbbb
+baabbbbaaabbabaabbbabaabaabbbbababbabaaaababaaaaaabbab
+babbaabaabababaababbbbababaaaabaababaaaabbaababaaaabaabaaabaabaaaaabbbaba
+aaaaaababbaabbabaaabbabbbbaababbbbaabaaababbbb
+aaaaaaababbbaa
+baabbabaaaa
+abaabaabbbabbaabaabbbbbbbbabb
+bbabaaabbaabaaaabbaaaababbbababaabbbbbabbbbbbaababaaabbabaabbbbbababbbabbaaabaaaaaaaaabbaababa
+baaabbabbaabaaaabbbabbaabbaabbabbbbbabaabababbaaabbaaaaabbaabaababbabbababaabaaaaaabaabbaaabababbababbabbb
+aabaabaabbaababaaabaababbbbabbbabaaaaaababababab
+bbbbbbbabbbbbbabababaaabababaabbbaaaaaabaababbbaaaaaabbaaaabaaabbabab
+bbaabbabaabbaaababbababaaabbaaababbabbbbbaabaababaaabbaaababaaabaabbaaabaabbbaaaababbbaaaaabbbbaaabababaaa
+bbabaaabaaabaabbbaaabababaaaaaaaaabbbaa
+abaabbbaaabbababababbabbbaaaaabbbabaabbabbbaabbbabbababbbbbbababbabbabbaaabbaabab
+bbbbbbbbbbbaabbaaabbbaaba
+bbabaabbbaababaaababbbaaababbbbbb
+baabbaabbabaababaabbabaabbbababaaababbbbbabaabaaababababaabbab
+bbaabbaabbaabaababbabbbbbbabbbbbbaabaaaaaabaabbaaab
+bbaabbabbbaaabababbababbabbabbbaabbbbbaabababbbababaabbbaaaaaababbababbbabababbababbaaaaaaaabbbabab
+abaaabaaabbaabaaabaabbbaaaaabbbaaabbabbaaababbaaababbababbababbababbabbabbaaaabba
+bbaabbabaabbbbababaaabbbabbbbbbbabaabbbbbaabaabaabbbbbabaabbabbb
+aaabbabbabbbbaababaabababbaaabbbabbb
+bbbaabbabbbabbbbabbabbaaababaaaabababaaaababbababbbbaabbaaaabaabbbaabbbabbabbbabaababbabbbbaaaaaabbbbaabbab
+abbabbabbabbaabbbabbbabbaaaaaabbaaababbabbbbaaabbabababbbaabbbabbbbababbbbbbbbaa
+babbaaababaabaaaabbbabbabbabbabbaababaababaabbaabbbbabbbabbbaaabbabbba
+bbabaababaaabbbaaabbababaabbbbbaaabbaaaaabbaaabababbaaaaabaabb
+bbaabaaababbbbbbbbbabaababaaabaabaaaababbbaabaaaabaabbaaaaabbbabaabaababaaabaabab
+bbbbaabbaabbabbaaaababaaaababaaaaaabaabaaa
+abbbabaaabbbbbbbaabbaabbbab
+bbaaaaaaaabbabbababbbbabbaaab
+babbbbaaabababababababbbbbbabbbaa
+baaabbbaaabbbaaaababbbbbbbbaabbbbbaaababaaaaaaaababbabaabbbbaaaababbabababbb
+bbbaabaabaabaaaabababababbbbaabbabbbaaaaaba
+aabbaaabbbbbbabbbbbabbbabbaabbaaabbabbabbababaaaaaaabbbab
+ababbbbbbbaabaabbbbaaaaaaabbaaabababababaaabaabaabaabaabaabbabbbbbbbaabbbaababbbaaaaa
+bbbbaaaaababbbaabababaaabaabaaabaaabbbbbaabbbbaaababbabbaaababbabaaaaaaababbabbbab
+aabaaabbbbbaabbaabababbabbaaabaaababaabbaabaabbbbababbaaaaabbbbbabbbabbaabaaabbbaaababaaaaabbaabaaabbbaaabaa
+abaabbaaaabaaaaabaaaabbbbbaaaabaaaaabbbabbbaabbabbbaabbbaabaabbbbbabaabaaaaabaabbbbabbbabab
+aababbaabbba
+aabababaabbbbaaabbabbbaaaaababbb
+bbaababababbaaaaabbbabaabbabbaaaabaaababaabababbbabaaaababaabaabaabbbaaabaaaababaababbbbaabbbb
+babababbaaaabbbabbaaababaabbabaababababbabbbabaabbabbbbbabbbbababbbabbbababaababaababaaaaaabaaaabaaabbbbba
+bbbaabbbbbaaaabbbaaaabaabaababbbbabbbbbababbbbbaaaaababaabbbaabbabbbbbbaaaaababaaabaabbbaaaabbbbbbbb
+bbabaabbbabbbbbababbbbababaabaaabaabbaaaababbaaaababbbbabbabaaabbaabaababbaabaaabaaabbbaabbaa
+abaababaaaaaabaabbababbaababbaaabababbbaab
+babbaaabbbabbbabbbaabbabaabaabbbbaabaabababbaaaababbabbabaabbbababaabbaabaaabbbaaaaabbabbaaaaabbabba
+bbbaaaaabbbbabbbaababbaabbbbaabaab
+aaaaababbbbabaaaabbabbaaaabaabbbbbbabbbbb
+abaaaabbbbbaabaabaabbbabbaaaaabbbba
+baaabbbbbbbbabbbaabaaababbabbbbabaababaabaaabbbaaabaabbbabababbbaaaabbabaabbaaaaabababbbabaa
+ababbbbbbabaaaaaaaaabbababbabbbabbaaaabbbabaabaaabaabaabbaabababaabbbb
+bbbbaaaaaaaaaabaaabbbaabbbaaaaaababaabaaaababbababbaaabbabaababaaaaaaaababbbbabaaaaaabbb
+bbabaababbababbbbbbbaaaabaaabbabbbaabbbbbaaaaaaaaabbababaabbaaaabbbaaa
+aabbabbbababaabaaabbbababbbabaaab
+aabaaaabbbbababbabbbaaaababbaaabbbababbbbbbaababbbbbbaabbaabbbabaa
+bbbabaaabbabbabababbbababaaaaaababbbbabbabbbbbbaaaabaabaabbbbbbaaaabbbabaaaababbabababbbbbaaaaababbaaabab
+abbabbbababbbabbabaaaaaaabbbaaaaabbbabbbaabbabaaaaaababbbbaabaaabaaabaaabbb
+bbaaaababaaaaaabbabaabbbbabbabbbabbabbabaababbabbabaaababababbabbbaabb
+bbababbbbabbabaababaabbaabbbbbaabbaabbabaaaaabbaababaaaaabaaabbbabbaaab
+aaaabaaabaaaabaaaabbbabbbaaaabababbaaabbbbaabbaabaabaaaabbbaabbaaaba
+aaaaabaabbaabbaabbbbab
+bbbabbababbbbbbabbbbbabaabbaabaabbaaaaaaabaaaaaabaabbabaaabbaabbbbaabbaabbbabaa
+abbabbabbabbbbabbabbbbbbbbababaabbaaaabaaabbabbbaaabbaabbbaaaabbbbababaabbaaaabbbabbbbaabaaabaaaababbabb
+baaabaaaabaababbaabaabababaabb
+abbabaaabbababbbbaabbbbaabbbaaabbaababbabbaaaababbababbbbaaabbbaaaabaabbbaababba
+bbababababaabbbaabbabaabbbabbbbbaaabbaabbaaaaaaaabbbbbbbabaaabaabbaaaabbaaaaaaaabbbababaabab
+bbbbbbabbaaaaaabbabbaabbbbbbbbabbbaaabaabbbbbaaabaabaabaaaabbbaaabbba
+bbbbabababbaabbbbabbaa
+abbbabaabbbaabaaba
+abbbaaabbabbbbaabaabbaababbbbbbbbaaababbbbbaaa
+aabbbabbabaabbbabaabbbaabaaaaabb
+abaaaabbababaababbbbbaabbbbabbaaaaababaababababaaabbbbbbaaaabaaabbbaaaabaaaababaababbaababaaaab
+aabaaaabbaabbbbabbbbbababbabbbabbababbabbaabaaaaabaaabbabaabaaaaaaababbaabababaababbbaabbbaababbbbbbab
+bbbaaaabababbaa
+aabaabababbbabbbababbbbbbaaaaaabbabbbba
+bbbaabbabababbabaabbbaaaabbbaaabbabbaabbbbbabbbbbbabaabababbabbbbaaaabbbaabbabaaaaabbabbbbaaabaa
+aababaabbabaabaabbbbababbaaaabbbaaaabbabaaabababababbbbaaaaaabbbabbbaaaabaaababababaababbbbabbbababbba
+bbabbbbabaaabbbaaababbbababbaaaababababbbabbbbbbaabbbbbbabbabaababbbabbaabbbbabbbbbabbbbabbbbbbbbaa
+bbaaaaabaaaabbbaaabbabbabbbabbaaabbbb
+bbabbbbbaaababbbabbaaaabaaaabaabbaabaaaabbaabaaaabaabbbabbaabbbabaaaabbbbaabaaabbaabbbbbaaabbbaaaba
+aababaaaaababaababbbabaaabbababbbbaaabbbaabbbbbbabaaabaabbabbabababbaabbbabbaababaaabbaaabaaababaabb
+abbbababbbababaababbbaabbbbabaaabbaabaaabaaaaaaabbaaaabbabaabab
+bbbbbbbabaaabaaabbbabaabaabbbabbbaaabbbabaaabbaabaaabaabbabaababbabbbbbabbaababaabababab
+bbbbbaabababbbbbbbbaababbb
+abaababbaababbabbbbbaabbbabbababbb
+bbbbabababbaaaaaaabaaaaabaaaaabba
+bbabaabbbbbbbbaababbbbababbaabaaaabaaabaabbaaababaabbababbbbabbaaabbbbbaaababaaaabaaabaaaababaabaaaaa
+bbaaaaababaabbababbabaaaaababbaaab
+aaabbabaabbbabaaaaaabbaabaa
+baaaabbbaabbbabababababaababbaaaabaababbbabbababaaabbbbabaabaabbbbabbbbaaabaabbbbababbbbaabbabbaba
+aaaaaaabbbbbbaaabbbaabbbabbbbabaabaabbbbaabbbababbbaabbbaaaabababababbabaaaaba
+aabababbbbbababaaabaaabababaaaaabbbbaaaabaaaaaabbbaaababbbbbababbabbaaabbbaaaabbbbbbb
+abaabbbabbababab
+bbaaabbababbbabbbaaaaab
+aabbbbbabbabbbbabbaaabaaababbbbbabbababbbbbabbbbbbabbabbabababbbababbbabbaabababaaabbbababbbabb
+bbbabaaabaabaaabbbbbabbbaababaabbbbaaabbbbbabaaaaabaabbaaaaabbabababbaabbabbbbaaab
+aaabbaaabaabbabbbbbaaaaaabaaaabbabbaaaababaaabaaababbbaaabbabbbbaaaaaaabababbbbbbaaababbaa
+bababbabaabaaaaaabbababaabbbaabbbaabbaaabbbabbbaababbaaabababaabaaabababababbbaaaabbb
+bbbababbbaababbabbaabbabbbbababbaa
+aaabbaaabbaabbbaaaabaabbbababaaabbabbabbbbaaaabaabaaabaabaabaaaaaaabbaababaaabaaabbbaa
+bbaabaaaaaabbbbbbbbaabaaabababbbbab
+bababbaaabaaab
+abaaababbbabaaabaabbbbabbbbaaaaabbaababaa
+baaaaaabaaaaababaababbabbaababbabaaaabbabbaaababaabbbabaabbbaaabaabaaabaabbabbbbaabbaabaaaaa
+bbbbbabaabaabbbaaabbabbabaaabbbbaabbbbaaaabbba
+babaabbbabbabbbabaabaaaababbaaaaabbaabbbaaababbabaaaaababbaaabbbaabbbabababaaabbaabaaaabbababaaabaaa
+aabaaabbbbabbbbababaabbbabbbaaaaaabbabaabaaaababbabaabaabbbbbabbbbbbbaaaba
+aaaaabaaaaaabbaaaaabbaababbbaabaaabbabbaaabbabaabaabababbbaabbbbbb
+abbbabababbabbbabaaaabbabbbbbbbabbbbbbbbaaaaab
+aabbaaabbabbbaaabbab
+babbaaabbbabaaaabbababaaabaaaabaabbaaabbbbbbbbaaaabbbabbbababbaaba
+bbbababbaabaabbbbbabbbaabbbabbbbaabbaabbaaaabbabaababbabbabbbabbb
+bbbbaabaaaababbbabbabbbababaaababaabbaababaabbabbabaabaabababaaabbabaabbaaabbaabaaa
+aabbbabbbbaababbbbaababaabbbbbabbabbaababbbbaabaabbbbbbbabbabaaabaabbbaaababbababbaabaabb
+abbaabaaabbbabaaababbababbaaabbbaaabbbbbbb
+abbbbbabbbbbabbbaababaabaaabaabaababbabbbbaabaabaabbaba
+bbbbabbbaaabababaaabbbabbbbabbb
+bababaaabbabbabaabbabaabbaabbbabbaaaabbbaaabaaaabaabbabbaababaabaaababaababbbba
+bbabbbbabbbabaabbaaabbbabbabaabaabbbababbabaaaaaabaaaabbababababbaaaababaabbaabbbabbbb
+baaaaabaaaabbbaab
+abaaabbbbbabababbabaabaababababbaaaaabbbabaaaabababaabbbabbaababbbba
+baaabaaababaabbbbbbabaaaabaaaabbbaaaabbbaaaababbababaabbbbabaaab
+aaaabbabaabaabbaaababbbbbabbbabbaaabbaabaababaabbaababaababbbaaaabaaabbaabaabaaaabbbbbbbaababa
+baabbabaabababababbbabbaaaabbaabbababbabababbbbaaabaabbabbaabbbaaaabbabababaaaabababbaaababbbaababbbbbaabb
+aaaabbbaaaabaabbaabaaaabaaabbaaaabaabbaabbabaaaaaaabb
+aabbbbabababbbbbaabbbaaaabaabbbababbbbbabaabbabaababbaaabbabaaaaabbbbbbbbaa
+bbbabaabababbabbbbbbabbbbbbaaaabbbbbbabbbabbabbbaabbbbababaaabaabaabbbbbbaaabaaaabaabababbbaa
+baaaabaabbabbaaababbbaabaabaaaababaaabbbaabbbaaaababaaaaaababbaabbbaaab
+babbaabbaa
+aaabbbbbabbaaababaaaaaabaaaabbaababbbababbbbaaabbbaaababaabbabaabbaaabbaabbbaaaaaaaababaabaaa
+bbbabbbaabbbababaabbaaaabbbababaababbaaabbbbbaaaabaabbbaaaaaaaaaabbabbbababbbbaaabaa
+bbbbabbbabbabaaaababbbabbabbbaaaabbbbaaaaababbaaaaaababbaabbbaaaaabbbbbababa
+bbabbbbbbababbabbbbbbaabbababbaabbbbaaabaaaaaaaaaabababbbbbaaaababbabbbaabbbaaaabbbbbab
+abababbabbbabbbabbbbbaaaabaaabababbaaaaa
+baaaaababbabbabaabbbbbaabbbabbaaabbababbbaababaabbabaaabbaaaabbbbbbbbabababababbbaba
+abaaaabbbababbbbababbbabbaaaaabaaaabbbabbabababbabbaaaabaaaaaabbababbbaabbaaaabaaabbaaaaaaaababaaabbbba
+bbaabbbabaabbbabbbbbabababbbaabaaababaaabaaaaabbabaabbaaaaababbababababaabaaabaaabaaaaabbbbabab
+bbbababbaabbaaabbaaabbaabaabababbaaabbaaaabbbabaababaaaabaa
+abbaaaaaabaabbbbbbbbaabbbbbbbbabbbabbabbaababbabbabaaabbaaabbbbaabaaaababababbbbabb
+bbaaaabaaaaaabbbbbabaababaababaaabaabbabbaaaaaabaabbbbbbaababbabbbabbaaaaaaabbabababbbbbabbabbbbabaaaaaaabba
+abaaaaaabaaabaababbbabbababaa
+aaabaababbbbbbbaaaaababbaabaabbababbbababaa
+abbbbbaabaabaabbbbababbbbaaabbbbaaaaaababbabbbbbbbbbbabaa
+bbbaababbababaaabbaaaababbabbb
+aaabaaabababaaaababbaaabaaabbbbaabbbbbaaaaabbabaabbbbabaababbbababbaabbabbaabbbaabaabaabbbbabaaaaabbaba
+babbaabaaaaaaabbababbbaaabbabbbabbbaaaaabaaaababaabbbbaabbbaa
+abbababbbbbbbabababbaababbbbaababaabbbaabbabbbbbababbbaaaaaa
+baaaabababaababaabaaaabbbabaaaaaaab
+bbbabaaaaaabbbbbababaaabaaabbbabbaaabbbabaaabbbbabaababbbabbbaabab
+ababbabaababbbababbbbbaababbaababbbbaababbbbbaabbbbbbbaaabaabbaabbbbababbbbabbba
+bbbaababbaabaababbabaaaaabbaaabbababaabbbaba
+aabababaaaaaabbbbbbabbbaaaaaaaaabbbaaaaabbbaabbbbaabbbbbbbaaabbbabbabaabababbababbaaa
+abbaababbaabbbbaaaabbbbbbabbbbaabbbabbbabbababbbaaabbbaaaabbabaaababbbababbbbbababbbbabaaabbbbaabbabbbbb
+aaabbbabbbbaabababbaabaaaaaabaabaabbaaaabbbabbaa
+aaabbbaabaababbbbabababbababaabaabaabaabbbaabbaaaaabaaaaaaaaabaabababaa
+bbaabaabbbbbaabaaaaabbbababbababbababbaabbbbbbaaabbbaaaaabbbababbbbbbaaaababbaabaa
+bbaaaaabbbbabbbbbaaaabaabbbaaaaaaabbabaaabbbbabbbbbbbbbabbbaaaaaaaababaaaabbbbbaabbabbbbbbbbaabbbababbaaaaa
+bbaabaaabababaabaaabaabbaabbaaabaabaabba
+abbbaabaabbabaaabaabababbbbaabababbaababaaabbabbbabbabbabbbababaabbbaabb
+bbabbaaaaabaababaabbabbbbbabaaaaaaababaaabbabaabaabbabbaababbabaaaaaabbababbbbbab
+bbabaaabbbaaaaaaabbabaabbaaabaabbbaababbbbabbaaaa
+abbbbbbaaaababbbabbaaabbaaaabababaabababbaaabaaabaaababbbabaabbbbaabaabb
+bbbbaabbaabbaa
+aaabbbabaabbbbbaababababaabbabbbbaabaaaaabababbabaabbaaabbbabaabbbbbbbaabaaab
+bbbababaaababbaabbabbbbbbaabaabaaababbbbaaabbababbabababaaaabaaaabbabbaaaaabaaaaaabaabbbbaababaaabbbaaa
+aabbbbaabaabbaaaaabbbaabbbabbbaaaabbbbababbaabbbbaaaaababaaaabaaabababaabaaabbaabbabaaabbbbbaabaaaaaaa
+bbabaaaabaababbaaababaababaaaaabbbbabaabbbabaaababaaabbaabbababbbbbbaaabbabbaaaab
+abbbbbaaababbaabbbababa
+bbbbabaabbbbbaaabbaaaabaabbbbbbbbbbabaaabaaabbabbbaaaaabbaaaababaaaaababaaababbbbaaaaaba
+abaaaabaabbbaaaabababbbbbababaabaabaaaababbbaabbbabbbbabbbbabaaaabbaabbabaabbbbbb
+aaaabbbaaabaabbbaabbabaabbbbbbbbabbaabbbaababbabbbabbaabaaabbbabbaaabbbbbb
+281 71
+aababababbabbbbaababaaabaaabbbbbabaabbbaaabbbbbaabbaaabbbbab
+bbaababbbbabababaaaabbabbbaabbbabbbabaabbbbbbbbaaabbbabababaaaabaa
+bbaabbaaaababababbaabaabaabbabbabbbaaabbabbbbbbabbabaabbbaabaabaabaabbaabbaaaabbabab
+bbbaaaabaaabaaaaaabaabbaabababbbbbaaabbaabaabbabaaabaabaabbaaababba
+bbabbbaaaaabbbbaabbabbbbbabaabababaaaaaabbbabaaaaabbaaaabbbbaababaababbbbaaa
+aabaaabbbabbbbbbbaaabbabbaaabababbaaaabaabbabaabbaabababaabaabbbbbabaabbbbaaaaabbabaabbbabbabbaaaba
+babbbbaababaaaabbaaaaaabaaaaaabaabaaaabababbbbababbabbbaaaa
+bbabaabaaababbbbababbabbabbbabbbabaaaabaaababbbabbbbabbbabbbaabbbbbbba
+aaababbbba
+aabaaabbababbabaabbababaaabaaababbabaaaaabbbaabaab
+bbaabababbaabbabbbaaaabbaababaaaabaaaabbababaabbaabbabbbbaabaaabab
+aaabbbbaaabbbaabbbabbbbaaaabbabaabababbaaaabaaaabbbaaaaabbabaab
+bbbbaaabaaabbbaabaabababaabaaabaabbaaaaaabbabaabaababbabaabaabbbaabaaabbabbbbabbaaabbbbbaaaaa
+abbbabbbbabbbbbbbabbaabbbba
+bbbbbbbabbbaaababbbaaabbbabababa
+abbaaabbbbbaaaaababaababbabaabaababbabbbaabbbabababb
+aaaabbaabbabbababaaaa
+aababaabaaabababaabababbbbbbbbbbaabbababbbabbaaaababbbbb
+baaabaabaaabaabaabbbbabbaaaabbaaabbbaabbabbbaabbaabbaaababbaaaabbababaabababbbbbbaaaabbba
+baaabbbbabbaabaababbaaabbbbbbabaaaaaabbabbabaabababbabbbabbbbbabaabbaaababbaaaabaaaab
+bbbaaabaabbabaababbabbbaabb
+aabababbaaaababbbababaababaabaaaabbabbbaaababbabaababababbbabaaaabaaabaaaaaab
+aabaabbabaaabaabaabababbabababbaababbbaabbababaabaabbabbbbbbaaaaaabbbb
+abaaabbbbbaaabbbbbaa
+bbbbbbaaababaaaabaabaababbaaaba
+abbabbaababababaabaaaabbaababbbbbbbabaaabababbbababbabaaabbbbbbaaabbbabbaabaabaabbbbba
+ababbbbababbbabbbaaaaababbbbbbaaaa
+aabaabaaabbaababbaabbbbaabaaabbbbbbbaabaaabaaabaaabaabbbbbbbaaaaaabbaababbaabaabbabaaabbbbaababbbbabbb
+abbbbbbaaabababbbabbbaaabaaaabbabbabaaaabbaabbbbbaaaa
+aabbbbaabaaaaaabbabbbbbbbbbaabaaaabababbbabbbbaababbaabbbbaaaabbaaaabaabbbababbbbabbbbaaaabbaabbabbaaa
+bababaaabbaabaaabaaaabaaaaababaaaaaababaabbabbbaabbbababbaabbbabaaabbabb
+abbbbbbbaba
+baababbbabbaaabbabbabbabaabaababbaabbbbabaaabbabbbabbbbaaaaaabaabbaaabbbbbbababb
+bbabbbbbaababbaaabbbaabaaababbbbbbbbabbab
+bbababbbaaaabbaababbaabbbaabababaaaabbaaaaabababbbbabaaabbbaaabbbbaabaabbabbbabababbbbaabbab
+babbbaaabbbbaabaaa
+abaaaaabbbaaa
+bbbababaabaabababbabaaaababbbbaaabaaaaaabbaabaabbaaabaaabaaaaa
+babbbbbbbbbbbababbaaababbbbbbb
+babbaaaababababbbbaaaaabaabbbababbbabbabbabbababb
+abbbaaabbbbbbabbbbabbabbaabababaababbaaaab
+babbababaaabbbaaaaaaabaabbaabaaaabbabbb
+aaaababbabbaabaababbababaaabbbbbbbbaaaaabbbbabaabbbabbbabbbaaaabbbaa
+baabbabaaaaaabababaaaababbabbbbbaaaaabbabbbaabbbbaaabababbabbabababaabababaabaabaaaabbababbbbbbbabbbbb
+aaababababaabaaababbbabaabaabaaabbabbbaabaabbaaaaaaaaaabbbbbaaaaabbbba
+abbbbbbbbabbaaa
+bbbaabaaabaabaaaabaaaabaababaaaabbaabbbbabababb
+babaaaaababbbabaabbaababaaabbabbabaabbabbaaabbaabbaaaaaababbba
+aabbbaaaba
+abbabbabaaaababbbbbbaaaabbbbbbba
+babbbbaababaabbbbbbabbbbbaabbabaababaabaa
+ababababbabbbabbbbbbaabaaabaaaababbabababbbbbaaabbbbbbbba
+abababbabaaaaabaabbbbbababaa
+aabbbabbababababbaabbbab
+abaabbbababbaaababbabaabababbaabbbbabbabbbaaababaabaabbbabbaabbabababbaaaaaba
+bbbaababbbbabbabababaabaabbaaaabab
+bbbabaaabaaabbaaabababababaabaababb
+abaaabbababababbabbbababbabaabbaababbaabbabbbbbbabbba
+bbbaabaaaaaabbbbabaabbbababbabbbbbbbababbaabab
+aabbbbabbbabbbaabbabbabbbabbababba
+baaaaaabbbaabababbaabbbabbaaaabaaabbbbaabaabbababbbba
+baaaaababbba
+babbabbbbaabaaaaaaabbaaabbabababaabaabbbaaabaabbaabbbbababaaaaaababbbbababaaaabbababbbbbbbbbbabbabab
+ababababaabaaabbbbabaabbaabaabbbababbaaaaabbaabbbaabababbbabbbbaaaaaabbaabbaaaaabba
+abbbbbaaaaabbbabaaaaababbaabaabaaaabbababbababaaaaaabbbbbabababbabaaabbabaa
+aabababbbabaaabbb
+aaababbaaabbbab
+bbabbbbabbbabbaaabbabbaaaaababbbbaabababbbbbaaaabbabbbaaabbbbbabaaaaababababbababababbbaabbaaabbaabaaabbbab
+baaabbbbbbabbbbbbaababbaaabaaabbaabbaabbbbb
+aaaabaaababbabbaabbbbbaabbbbaabaabbbbbbaababbbababbabbbbbbbbbbbbaaaa
+aaaaaabbaaaaabbaaabababaabbabaaaaabaababbbbbbabbbbabaabbabaaaaaaabaabbbbbbaabbbbbbbabababaaba
+ababaaabaababbabbaaaaababaaaaaabaaaabaabaaabbaaaaababbaababbbbabbaabba
+baabbbaaabbabbaaaaabaaaaaaababbbbbbbbaabbaabbabbaaabbbbaabaababbbabbabbbbbbaabbbaabaabbbaaabb
+abbbbbbbabbabaabbbaabaabbabbbbbbabbabbbbaabbaa
+aabbababaaaaabbbbabaaaaaabaaabbbbaaabaabaaabaaaaabbaaaaa
+aaaababaaabaabaaabbaababaabbabbbbbbbaaabbaabbaaabbbbbbbaabaabbaababbabbbbaaabbaabbbbaaababbaaababbabababba
+aaababbbaababbaababbaaabbaaaabbbaababbbbbbbaaaabaabbabbaaabbabababababbaabbbababaaaaaabaaaaaabbabbaabaabbb
+babbbbbbabaabbabbaabaabbabbbabbbbabbab
+aaabbbbabbabaaaaabbabbbabaabaabbabbbbbbabbbbabaabbbaaaba
+aaaabaaaabbbbbaaabaababaabbaaaaaaaaabbaabbaabababbabaabbbbbbabbbbaabaaabbbababaababbbbaaaaababbaaaaaba
+baaaabbbabaaaabaaaaaaaaabbabbbabbbaabbabbbbabbaabbbbbaaabbbbbaaabbaabaab
+aaaabababbaaabbaabbbabbbbbabababbabbaaabbbababbaabbbabbbaaababaaabbbab
+babaababbbabbabbbaabbabbb
+babbbaaaaaabaaabaabbabaababbbabaababababaabbbabaabbbabbbaabbababbabb
+aabababbbbbaaaabbaaabaaabbaaabbbba
+abaaaabbaababbbabbbb
+ababaababaabbbaabbabbabbbababababbbbbabbbaaaa
+bbbbbbbbabaababaaaabbbaaaaaaabbaaaab
+bbaaaabaaabbbbbaaaaabaaaabbbbaabbaaaaaabaaaaaabbaabbaaaaaaabbaaaababaababaaaaabbabbbbabaaabaabbbabababa
+baaabaaaabaabbaabbbbaaababbabbaaabaaabbaabbbbbaaab
+bbbaababbaaabaabaabaaaaabaabbbabbb
+bbbaabaabbabbaaaababbaabbaabababbbaaabbaabaaaaaabbaababbabbaaaaababbaabbababbbbaaaaaaabaa
+ababbabbbabbbabbaaababababbababbbaabbbbbabaaaabbabaaabaaabbaaababaabbbaaaaa
+abbbaabababbbaabbabbaaababbaaababbaaaaaaabababaabbbbbbabbbabaaaabaabababbbabaabab
+abbabababaabaabbbababaaaabaababbbbaabaabbaabaaaabbaaababbbbbbaaa
+aababbbbaaabababbababbabababbababbabaabbbaabb
+abbbbbaabaababababaaabaaaabbbbabbbbabbabbbaaaaaabababbbbbbbbbaaaaabaababa
+abaaaaabaaaabaaabababbabaabbbb
+abaababbbabbaababbabaaaaaaaaaaabaabbbbaaaaabababbbbababbaaaaabb
+baaabaaaabbbababaabababaaaaabbabaaa
+bbabbbabbbaaabbbbabaaaabbbbbbababaabababbbbbbbbabbbabaaaabaaba
+aabaabbbaabbbbbababbbbbbbaaaababbbaaaabbabbabbabaababbbbbaaababaaababaaaabbbbabbbbbbaabbababbbaaa
+bbbabbbbaaabbaabaababbbbaaabbbaabaabbbabbbbbbbabbbbabbbbbbaaaaabaaaabbaaababbbabaabaaab
+babababbabaabbaabaaa
+baabbbbbaaabbbababba
+bbaaaaababaabbbbbbbbaabbaababbbbaabbbaabbabaaaaaaabbababbbaaaababbababbaababbbababbbababbabaabbbaa
+bbabbaabaabaabbaabaaabbaababaaaaaaaabbababbabbabbabbbbbaaaaabbaaabbabaabaabaaaabababbbbaaababbbab
+bbaabbbbabbbbabbbabbababbbbaaaabaaaabaaababababbabbabaabaabbbbbabbbb
+bbbaaabbaaababbabbbbaaa
+abbbabaaaabaabbaabbbaabbaabaaabaaabbbababbaaabaaabaaa
+aaabaaababbbbaaababbaaabbaaababbbba
+abbabbbaabbaaaaababbabaaabaabaaabababbaaaaabaabbaabbbabbabbaaaaababbbaaaabaaababbbabaabbbbaababbabbaabbba
+bababbbaabbabbbbbaabab
+abaaabbaabaaaaaaabaaabaaaababaabaaaabbababaaabbaabbaabbbbaabbaabaaaaabbaaabbabbbbbbabbba
+aaabbbaabaaaaabbaabbab
+abbaaabbbaabbaababbbaabbaabbbaaaabbbbbbbbaaabbbabaaaababbbabab
+ababbbabaaaaaabbbbaaaabababaabbbbbbabaaaaaabbaaaaabbaababbbaabaabababaaaabbbababbaaaaaaabb
+babbbbbaaaaaabbabababaaaaabaaabbaaaaaabbbbabbbaabbaaaaaaaabaabbaababababbbbababa
+bababaabaabbbbaabbaaababbaabbaabbabbbbbaabbabbbbabbbbaabbaaaaaababbbbabbabaaabaaabbbbbaaababbaabaabbbab
+bbbaabbbbbabaaabbbaabbaabbbaaaaaabababbabaaabbaaabaabaaaabaaaabbababbabbabbbbbbababbbaabb
+aababaabbbaaaaababbabaaabaabb
+aaaabbabababbbbbbbabbbabbaabaababbbabaabbabbaabababaabbbbbaabbbababaabaaaabbabb
+bbabbabaaaababaabbabbbaabaaabbaaaaabbabbbaaaabbbbbbaabbbabaaaabbaabbbaaaa
+baababbabbabaabbbabaabbbbbbaaaaabaaaabbaabaabbbababaababbbba
+bbbaaabaaabaababbbaabbbbabbab
+aababaababbbaabbabbbbaababbbaabaabbbaabbbabaaabbaababaaaaabbbaababbaabaaaabbabaaaabbaaababaaabbbbabb
+aabaaabbbabaababbbababbbbbb
+baaabbbbaabbaabababbbbabbbabbabbbbbbababbabaababaabbbbb
+aabbbaaabaaaaabbbabaabbbbbbbbbbaaabaabbabbbbaababbbabaabbbaaababababbaba
+aabbabaaababbaaaababababaabbaabaabbbbbbbb
+babbbbbaaaaaaabababababbabbbababbbbbbaaabbbbaabaabababaabab
+abababaabbbbbbabaaabaabbbbbbabbbabbbaabaabbaabbaabbabbbabaabbaabbababab
+bbababaaaaaaaabaaabaabaabaaabaaaabbbbababbababbabaaabbabbbabbaaa
+baaabbbaabaaabbbabbbabbaabbbaabbbababababbbabaabaabbaabbabbaaabababbaabbbbabaabaabababababababbbb
+aabaabbabbbaabaabbaaaaabbabbaabaaaaabaabaaabbbabbbbbbabbbabbababbaaaabaaaaabbaaabbbbababbaaaa
+aabaabbaaabaabbbababaabaaaabbabaababbbabbabbaabaababbba
+abbababbbbbabbbabbbbabbbbaaaabaaaaabbaababbababababbbabaababaababaaabbbbabbabbbbbbaaabaaabbaaaabbbbbabbbabba
+aabaaaabbbbbababababaabbbababbaaabbbbaaaabbbbabaabaabbabbbaaabbaaaabaabbabbbaaaabbbb
+abbabbbaabbbaabbabbbbabaababaabbaabbbbaabaaababaabbbaabbbaabbb
+abbabbabbbaabaabbbabbbbbbabababba
+bbbabaabbaabbaaabaaaabbababbbbbbbbababaabbbbaaabbaaaaababbabbabababbaabbbababbaabbaaabaa
+aababbaaabaabaabbbbbaaaabbabaaabbbaabbaaab
+bbaaaaaabbbbbabbabbbbaaabababbbbbbbbaabbaababbbbaaaababaaabaaba
+babaabbabbbaaaabbbaaababababaabaabbbbbabbaabbbaabbbaabbaabaa
+aaabaabbabbbaabbabbbbabbbababaababaaaabbabbabababaaabaaababbaabbababaaabbbbaabbaaabababaaaaabbaabab
+abaabbaabbaaabbbbbaaabbaababbbbabbabbbbabababaaabbabbbbabbbaabbaaababbaabbbaaaabaaaabaa
+aaababababbbbbabaababbabbaabbbaaaaababaaaaaabaabaaabaaaabbbaabbbbababbbbba
+aabaabbbbbbbaaabbbababbbbaabaaabbabaababbbaabbabbabaaaabaaaaaaabaabba
+abaaababbbabaaabbbbabbbbaaaabbaaaabaabbabbabbbbbaababbaabababbababaaaabbaabbabaabbbbbbaaaaabbabbba
+bbbbaabaabbbbbbaaabbaabbaabbaaaaaabaabaabaabaabbaaaaaaaaabaa
+bbbbbbaabaababbaabaabbbbaaaababbababaabbbbbaabbaabaabbaaa
+abaaabaababbbaaaa
+abbababababbabaababbbbaba
+babbbaabbbbaabbbabaaabbbaaaaabbaabbbbbaaababaababbaaaabbbbabaabaaabbb
+abbbbabbabaababbbabbbbbbabaaaabaabababaaaaababaaaababbabbbbabbaaaaabbabbaabbbabaab
+baababbabaaabaabbbbbbabbbaababbbaaaaabaabaa
+ababaabaaabaaabbbabaabbababaaabbbbbbaaababbabaab
+ababaababbbabbababbbaabbbbaabbaaaaabbabbbbaabbbbaababbabaabbabaaabbabab
+bbbbababbbabbbabbbbabbabbababaaaabbbbbaaaaabbbaabbbbabaabbaaabbbabbbaaabaaaabaaabbbbabbbbbabaabb
+bbbbaaaaab
+abbababaabbaaabbbbbaabaabababbaaaabaaababbabaab
+aabbbaabbbabbaabbbaaabaabaabaaaabbaabbababaabbbbbbaabbaababaabbbbbbbbbbbb
+abaaabbababbaaaababbaababbababbaaaabababbbaaaaaabbababaaabbabbaabaabbabaaaabaabbbbabbaaaaaaaaabbaaaaabbbb
+bbabbabbaaabbaaaaaaababbaaaaaabbbbabbababbbaaaaabbbbbaaaabaaabbbbbabbaaaabbaaaabaabaaaabaaaaaababbbaaaa
+bbabbaabbaaabbbbabaaabbbbaabbaabaaabbbaaaaaab
+aababbbbbaaaaabababbabbbbbabbabbabbbb
+baaaaabaabaaaabbbbbaababbaabaaaaabbbbbbaaabbbbabababaabbabababaaabbbabbbbaabbbabbaabaaaabaaababbbaaabbbbbbab
+aabbbbbaaabaaaaabbabbbaabbaabbbaaab
+bbababbabbabaabaaaaaabbbaabbaabbabaaabbbbbbabbabaababbababbaabababaaababbaabbbbbaaabbbabba
+aaaabbaaaaaaaabaabaaaaaaaaabbbaabbbaaba
+ababbbaabbabbbbabaabaaaabbaaabbbabbababbbabaabaaaabbaaaaaabbaab
+bbabbbbaabbbaaabaaabaaaaaababbaabaabaabbaaaabbbbababbabbaaabbbababbbba
+aaabbaaabaabbbabababbabababaababaababbbbbabbbababbbaaaaaabbbb
+abbaaababaaabbabaaaaaabaabbbabaa
+ababbbababaabbbbaaaabbaaaaaaabaaabbababbaabbbabbbbbbabbbabbbabaabbababbaaababbbbaabbbbabaabbabaabb
+aabbbbbaaabbbabbaaaabbba
+aabaaaabaabaaaaaababbaabababaabababaabbbb
+babaabbbabbababaaaabaaabababaabbbaaaaaaaaaababaababbbababbaabbbbbaabaabbbabababaabbaaaab
+aaabbaaababbbbaaaabbaababbbaababb
+bbbbbbbabbaababbaaabbaaaabbababbaabaabababaabbbaaabbbbbbbbbaaababaabbbbabba
+abbbaaaaabbaaabbabaabbbbabaabababbbbbbaabababbbbbbbabbbba
+aaabbaabaabaabaababbabbbabbbabbbbaabaaabbabbaaabaaaaabbaabaabbaaaabbbabaabaabbbaaaba
+bbabbbabbbaaabbaababaabaabbabbaabbbbbaabaaaa
+bbbbabbababaabaaabbaaabaaabbbbaabbbabbabbbbbbbabbaaaaababba
+abbabbbabaabaabbbbbabaabaaabbbaabaabbaababbbbabaabbabaaabba
+aaaaabbabaabbababbbbbbbbaba
+aabaabbbaaaaaabaabbbabaaababbab
+abaababbbbababbbaaaaaaabbaabababaabbabbbaabbbbbbabbbbabbbaabaabaaaabaaababbbbbaaabbbaaaaabbaaab
+baabaabababbaaabbaaabababaaababbbbbb
+bbbbbabbbbbaaabbbabbbbababbbaabbaaaaaababbbabaaababaabbbbababbaaaabbbbababbaaabaabbabbbbabba
+abaaaabaabbbababbbbbbaba
+baabaabbbbaaaaabbabaabaabbabaaaaabaaabbaaaaababbababaaaaabbbbaaabbaab
+baabaabbaabbbbaaabbaabbaabbbaaababbabbbbbabbabaabbbabaabbaaabbbbaababaabaaabbabaaabbbbaaaabbbbbaaabbabbab
+aabaabbbabbaaaaaabbbbbaaaabbaabababbaaaabbabaaaaabababaaaababbaaaaaabaaabb
+aaabaabbbabbbbabbabaa
+bbabaababbbabaaaaaabbbabbabbbbbabaabbbbaaabaaaaaaaababbbabbbaababbb
+abaaaabbbaabbaaababababbabbbaaabbbbaabbaaaaabbbabbbbabbaabbbaabaabaaabbbbbabaabbaabaaabaabbaabaabaabaaab
+abbbbaaabbbbbabbbbbabaaabbaaabaabbbbbbababaaa
+aaaabababaaaabababbbbbababbabbbaaabbbbbabababbbbbbbab
+bababbbbbbabbabbabababbabaaabaabaabbaababababbbbbbaaabbbbbbbabaabbbabaaabbbbbbbbb
+baabbaaaabaababaaaabaabaaaaaabbbbaaaabbb
+baaaabbabaaabaabaaabbbabbbbaabbabbbabababbabbaabbbbabba
+babbaababbbabababbaabbbbbbbaabaabbabaaaabaababbababbbaababbabaaababababbabaabbabaabbabbbabaabaaabaabbbaa
+aabbaababbaabbaaaabbababaababbabbaabbbbbabbbbbaabbabaabbaababbabbbbabbabaababbba
+aaaaaaabaaaaaab
+aabbbbbbbabbaaaaaabbaababbbbbbaaabbbabbababbbaabbbabaababaabbbbabbbbbbbabaababaabbbaabaabaaba
+aabaabaabaa
+baaabababaaababbabbabaaaabbbaabbbabbababbbbbbbbbbbaaaabab
+bbbaabbbabaabbbabbaba
+aabbbabbbbbababbabaabbbbbbbaabbbbaaaab
+aaabbaabbabbababaaaababbbaabbabaaaababaabbbbbaababaaaabbaababaaabbaaabbbabbbaaabbbbabababaaaaaabbbbbaabbbbab
+abaabbabbbbbaaababbbbabbb
+abaaabaaabbbbaaaaaabbbaaaabaaaabbaaabbbbbabbbaaabb
+abbaaaababbabbaaaabababbbaaabbbbabbaaaabbaaabaabbaabbababbabbabaaabaaabbaabbbbbbbaaabbbbbbbbbbaababbbbba
+aabaabbaabababbbbaabbaaaabaaababbaabaababbbb
+aababbbaabababbbabbbbaaabbabbbbabbabbbbbbbbabbbbbaaabaaabbabbbbbaababbaabaaba
+bababbaaabaabaaaaaabbabbbbbaabbbbabbabbbbbaaaaabbbababaaabbbbaaaabbbaaaaaababbabbabbaaabbbbaabbbbbb
+aabaabababbaaaabbbbabbaabaaabaaabbbbbbbaabbbbaabababaaaabbbbabaabaaaabbbaaaaabaaabbbbaaabbbbaa
+bababbbabbbabababbabbaabababaaabbaaababaaaabaaabbaabbbbabbabaaababaababaaabaabbba
+aabbaaabaababa
+babbaabaababbababaaaaabbaababbaaaabbaabbbbbaabaabbaabbaaaa
+bbbbaabbbbabaababba
+babababbbabbbbbaaaaaabaabbabaabbbabbbbaabbabbbbbaabbabaaabbabbbbbaaabbabbaaaaaababbbabaa
+abaabbaaababaaaabbbbbaa
+aabaaabbaaababaaabbabaabbbbabbbabaabaaaabaaabbaabaabbabbbabbabba
+abaaaabaababbbbbbaabbabbbabbbababbbabababbaa
+abaaaabaabbbbbbbabbaaabbababbaaa
+aaaabaaaaaaabababbabbabababbbbbababbaababbabbaaabaaabbaaabbbababaaabbbbbaabbaabbaaaaba
+babbabbaaabaaabbabbaabbabbaababbaaaababaaa
+abaaababbaabaabbbabbbbbaabaabbabaaabababbbbbbbabababbbbbabaaaaababbbbbabaabaababbbaababbbaaaab
+ababbabbabbaabaababaaaaabbbbbbaabbbaababbaaabaaabbaaabbabbabaaabbaaabbabababbbbaabbbbbabbbaaabbbabbb
+abaaaaaabbaaaaaabbbabaabaabbaaaaabbbbbababababbaa
+abbaaababbbaababbbabaaa
+ababaaaaaabaabbabababbbaababaaabaabaabaabbaabbbabbabaabbbaabaabbbaabbbbbbabaaababbbbaabbababbbbaaabbaaa
+aaabbbaaaaababab
+aabaaabababbbabababbabbbaabbabbbbaabaaabaabbbabbaaababaaabbabbbbabbbbaaaaababa
+bababbbbbaaabbbababbbaaabababaabaabaaabaaabaabbbabbabbbbabbbababbabbbaabaaaabbbaabbaaabaaabb
+bbbaabbabbaabbabbbbaabbbabbabbaaaabbaaaabbbaabbbaabbabbba
+bbbbabbbbaaabba
+aaaabaaabaaabbbabbbbbbbbbaaabaaaababbbabbabbaaaabbabaaabaaaabaaaabaaabbbbbaaaababb
+abbabbbabbbbbbbaababbbbabaaababbbbaabaaabbabaabbbbaababbbabbbaababb
+bbabbbbaababbbaabbbaaaaabaabbbabbbaaaabbaabbbabb
+aabbabbbbbbbaababbabab
+babbabbaabaaaaababbabaabaababbbbabbbbaabaaab
+babaababbabababaaabababbbaabaaaabbbaaaaababaaabaaababbababbbaaabaaba
+bbababaabbbbaaabbaaabbaaabbabbaabbbbbbabbabbbabbabbb
+abbbbaaaaabbbaaaaba
+aabbababbaabaaaababaaaabaabbbbaabbbaaaaaaaaabbbbbabbbaaaabaabbaaabaaaa
+bbbbbbbbabaabbaaaababaabbaabbabbbbbbbaaaabbabbaababaabababaababbabaaabbaaaaaaabbababaaaaba
+bbbbbabaaaaaabbaabbbbbaabbaaba
+aaabaaabababaabbbbbbaabbbabbbbaaabbbbbbaabaaabbbbbbaaabaaabaaaabaaaaaaaaaaabaaabaaabbbbabbbbabaaaabbbbbabaaab
+babbbaaabaabbbabaabbabababbabbbbb
+babaabbbaabbaaababbabbbaabbbabaaabaabbabababb
+baabbbabaaaabaabbbbbaaabbaaaaaaabbbab
+babbaaabbaababaaaabbaabbaaabbabaabbabbaaabbbabababaaaaababaababbbbaabbaababb
+abaabaaabbababaabbaababbbaabbbabbaabbaababbbababbbabbbbaababbbbbabbaa
+bbbaaaababaaabaaababaaabbaaaabaaaaaababaaababbaaabbabbaabbabbabaaba
+bbbaabbaabaaabbbbaaabbabbaabbbaabbababaababaabaaaaabbabbbaaaaaaa
+aaabaaaabbbabaabbbbbbabaababaaaaaabbbababababbbabbbbbbbaaabbababbaaaaaabaaabbaabaabbabbbabaabaababbbbabbbbabb
+babbaaaaabbabbaaabbaabaaaaabbbbaaaaabaabaaabbaabbbababbabbbbbabbbb
+abbaaaaabbbbabbaabbbaabbaabbabbbaaabbbaababaabbbabbababbabbbaa
+baaaaabbabbbababbbaaabbbbaaababaab
+abbaabbaabbbabaaababaaaabaabaaababaabbbbbaabaaaaabbaaabbabaaaaaaaababbabaaababababaababababbabbabbbbaabbb
+bbaaabababbabbabbaabababbbababbaaabbaaaabaaaaaba
+baaababbaabbbbababbabaabaababbabaababbbbbbbaaabaabbbaabbaaabbabbbabbabaabbabbbbabaaaabbbb
+aaabbaaaababababaabbaabaabbababbabaabababbababbbabbbbbaaaaabbbbabbabbbbababbaaabbbbaaaaabaaaba
+bbbabbbbbbaabbabaabaabbabbbabaaaabbaababbabbbaabbbbabaabbaabbaaabaababaaaaababbbbb
+aabbbabbbaab
+ababbaabbbbbbaabbbbbbabaabbb
+baabbbbaaabbaaaaabaabbaaaababbbababababaabbbba
+baabbbbabbbbabbbbbbbaabbbbaaaababbab
+abaabbaaaabababbaaaaabbabbbbbababbbabbbb
+babaabbabbababbaaaaaaabbabababbaabbbbbaabaababaaabab
+bbbaaaabaabbaabbbabaaabaabaaaaabbaababaababbbaabbbbabbaaaabbbbbbaa
+bbbbbababbbbbbabbaaaabbbbaababbbaabbaaabababaabbabbababbbabbaaababbbaaabbabbbabbbaabbaababbbbaaaaabaa
+bababbabbbaabbbaabaaaaaababaaaabaaabbbbaaababaabbabbababababbaaaabaaabbb
+baabbbababbabaaaaaaabbbabbabababaaabbaaabbbbabbbbbbaaabbaabbb
+bbaabaabaababbbbbaababba
+baaabbbbabbbaaabaaabbbaabaaababbaababaabbbbaabbbbbbbabbbabbbaaabaabaabaaabbaaabaabaaabbba
+abbbabaabaaabbaababbaabaaaaaaabababaabbabaaababbabaaaaabaaabbba
+abbbbbabbbaa
+296 146
+acccdadbdbdbcbdadcbbadaacbabbacbdbdabdccbacccdcaadacaabddbcdcbacdcdababdacdabbdacbcbcbacdcddadbc
+abcaacadabddcbdbcbbacbbcbacabbacdbbabbacbcadbaadcbddbdaacbbaacdabbdbbaacabadcdcbcdacdbaccddcddacabddc
+dcdbcbdcbaababcbdbadbbcabcdccddbadbccbcaabadbdddababb
+dadcaabccbaddacbccccbcbcdccccacdcdcbabbbbbcdbcddccbaaacbddbbbcdabbacdaaccadcd
+caadcddbbccaadd
+bdbbaacddccaaddacc
+bddbabcabadabaaddcaddacadcbbdaadaaddacdddaacccbdbcbcbcdaaaabbdcada
+babbdbddabbaabadbdbcaaacbdccccbbdbbabccadcbcdddaddbacbdaccdcbbdcddbcabdbcdbdbdbdaccbbcdbadaac
+bbbdddadcddcbdabaadbcdcbacacadd
+ddadcabaacbdcdbaaddccbbaaaaacddadabdacbdcadccbdababbdcbdacbacdbadbddcbcca
+bcbcdbddaadacddddcccacacdcaccaccccbbccbbbbaadbcdaadccdacbcc
+abdcccbacaaccbdadcacccbdccadcdbbacabdbcdabbbcdabbbbca
+ddacabcdbacbacbadadadaaddabbadadbbacbbbabccbbcadcddacbbbcadddcdabbbddadcdadbaccab
+bdaccbdadbcddcadbcdadacd
+aaacdcacbdbbaabbbbadbcdcaabbcaba
+bbcbdccabbcabbbaccddccddcaaddaabddaacbcbddccabaaaaccbbbbdbbcdcbcaddcdcbcbbabcbbaddbdccabbca
+cbcdccaaaabdbcddcbacdabdcdabacbbcaaadaccccdbcbdbbdaababddbbbbacabcbcbabdcbcdbdbaacbdacbbabbdbcaadc
+cacdccbacccdaacabaaccdbabdbbaaaadcdddddcacabcdcdbbcabbdcadddcbcccbaaddcbbcbdcbabcdcac
+caccdacaabdcdbbccccbadcabbcabbcdd
+cbbaacaabdadcacbabadddccdcdbbacaabcaddccadcacdbaaccaaacdcbbbcbbdcadaddcddaabbdaacbccd
+dabbbbacdbbcdabccabbaaabbaccbccbcdaadbdbdcacacccbadaddbccc
+caccbcadbaddbdbdbbdbbdbadac
+cbdcadacabddddbaaa
+dabddaacdcbdadbabaaddcdabbaadacddadbabcdacdbbbaadabc
+bcbcacaaaddcdbcbdccdccab
+bdbdcacdcaadbcabcbadaabbaabcbaadabaccacbbbcdcdbcadadacbcabbddbbdabdaccbbbdbbbbabbcaaabdb
+ccaabdabcaacdc
+dbdbdcdcccdabaacccdbbcdbbd
+acdbccbbcaddcdaacbacaadadbcdabdccdadbcacaabddbaddbabd
+aaaacaacaadcbdadacbdddbdcacddbcadcacbddbcccdbbcaadccbbbcadadaacbccaaacbcacdaabdcccacbdbabd
+dadccdabdadaddabddcbadcbaacbdaadcbaaaccbcabacddccdbbb
+ddabcadddaadbadbcddbdccbcbdccdbdbcdcdbbcccaddabcbbdbdcbdccacdaabbcacabaabbbaadcacaaaaaaddcccbdabacbcacddaba
+dbabbdddbacacacacbadadcacdadcbcddaabcabbadccbaddabdaabacbbadb
+acdcbbacadbacdaccbaabbacbbcdbbbccabbdbbccccbadbbadadaacacccbdbaadbabab
+bbbbbdaddbbcbcccacabcccdbacdbcddaccaabdcbabdddaaadadbbadccbbccbdbdbcbbdb
+abcdaacddccabacccbcacbbcabbadcbcbacbaaaadcdabbba
+ddddaabcabddadbabdbbdbadacdbbbbacdadbcbbdcaaabdaccdbbddccccaaadcacdcbaa
+dccbcdcaddaddbbdbdcaabdabbcdabdccadbdbaabbbbddacabccbadabcaddacdcdcabdcacaaaaacaaccacbadddbaaadbbdcacb
+babbdbbadbbdcbbddcbaaccacabcdbbdddbbdbadccaccdcaacccdbcbacadccbbbc
+adcbabccacddadcaaabbbbcddbdacbbaddcdcbbd
+adacacdbcbdddbdcabcac
+ddcabdccdabacbd
+dddaadcadbaaccbbbcadcccbbcddcdddacaddbdccdcddaacaaacbbcbdacdc
+ddbbaaabdacadadccadabbdbccdccaacaccccbbdacdcaabaccdaadaaabcdbdbb
+cdcdabbbbcdaddcdcbdcddbcacbbbbaddbaddbcdccbbcbaaabbcddddcbaabbadbbbadcadadcbcbadcca
+daacbcbacacaabdbbddbacaabdacbdcbaacbccbaaccccdacdcddbacadbcacdddacdcacadccdccaaadcccbcbacabd
+ddbcbcacbacbaaabdcacbdcdddbdabbadbdcddddccabaabcdbccbacdbccaabadcd
+dcdacababbddbaadbaacbccdddccbddbbbdadcbdcddcdbadbcbabadaaccbbabaadccbaacadbcdbabdcdaaa
+caccccccbaadadddddabaabbadaadcaaabcacdcbbdccdcdcccaabbadbdaaabaaddbaccbabcadddadbbbbbbaabcbcbcbabcadb
+ddaabcbdbdbdcdccccbccbaddacccbcdccadcddabacaddacccbbdcabbcaadbbadacbccbabcccdacaacabdbadbbb
+abdddbddbbbcddbdcdacdababbdbcdbccb
+adddaadcaccbbcccdcdcbabadadbddaadccbbaadccaacbbcaadadacccaadcdabcacbbcacddbddbcbadddcccbaadaabadbdabbdcbd
+ddcddcacdacbdcbbcaddddcbadbaaaaccddacdaddabcddbdcbdcbbdbdababdcddbbcbaaabbbbacb
+bbcacbbdcaccabc
+cbaabbbadacddcdbddbbaadbcdccdabcacbbaacdadadcddaadcacbadabaccdabbabaadcbcdcdacdaaadcbadbcddabadabbcddbbdccd
+dacccbacbbdadddbbcc
+cdddbcdacdaaaadbccacacdcbccabcdacbcddcdddbdcdddbaabdacabddcacbddccbbaac
+bcabacadadbccccccbacbcdcbacbbadaabaccccdadcadaddabaabbdbdcbcbbcbcbdcccbacabaacabbcdbac
+daaaabddabdbccbaaddbbbcbdadbcbaadbaaacbbcdcddcdcadccbcbdcabccdddcbdcbbbaccccacadcababbdaaa
+bacabdccdcbdbacbacdadbdacbcccddcaaadcbdbdddcbacaccbcadabdacbacbbbaabaccddbdadcadcabdacabccabad
+ddbdadcbbbdcbcbdcaaabddbdacaaadacddbbaacdadabdccdcbdbbcdbdaccababbdbbccabbaddcbcbdbcbccbcccabbcdc
+bcdcdbabddbbadbccbdacdcdccacbcbcacbbaabbcbadbadbcabcbbdcdacdcaacacdabcaabaccb
+cbddddacdabadbbabcbbddccbbaaabaddaa
+cbcaccbbdcddbcadcab
+bdccbadaabdddbbddadbacbcadcbcddaadacbbccdbacbbabcb
+dcdcdacababdcbbabdbbaadcabdbbccabdbbbaddcaccaaccccdababdbacbabcabdbbcacccdaadcbbdddcdbcccacccacdcbac
+ddbabbdcacdcaadbdbcabacabbaccdcddccbcdbbabcbbcdadcdcabaaddcabbdbdcbbdbababcabdddaadacdcaaaccadccdca
+ccacccbcadbbddbdccccbabcacabb
+bdcacbdbacbdcabaaadabbbdccabadcadacbdacacabcdbcdcaabbbbbbbaabccbbcaaabbbcabadcdddc
+bdcacaabacdaacbbbbadddbbbacadadacaacddcad
+dbaabbabdbdadbcaabcbabadbbadccaadaabdaacccdcaaacdacbaddacbddccaacbadcdb
+daaaababbcaccaddbcc
+bcbdbacbacccdbbcabdbdaddbbbcddaddaacbaddacdbcbcaaddacddcbcacababdbbadbadbdbaacdddaaacbbdddbbdbbcdcbdabadc
+cbadabbdbdcaaacdaccabba
+bacccdccbddaaaddbddccacacdaccbacdbcdccaabbbaaababa
+dcdbdabdbbbbcaddacdcbcdddbbadacdcaccdaccacbabaaadcdcbbbbdbacbacbddacbbdaddbdbdabcdbccbbdcaadbcdbcdddcdbbbaad
+caddbabbacbacdbadbbacadddbcdccbdabcdcdbacbdddddcddadcab
+bcaacaabdbaabbdbcccdbdac
+aaccbddaddbcadaaabacababdbdadacbdbabbbcbdccddcbbdcbdcadcdaddabbbbaabdccddb
+cabaacdcdbbdcdacdcbadbdcbbabcbdcdccbcbaaabbcbbcdcaabcbaa
+cccdbcdcabcaaabdbcdbdbccbdaabccdcdbbdaddbddbbadcbacabcdbbacaddbacbdcbbbcbccaaddbdbccdddcabddccacd
+dcaaaabcadadcadbbbabcacdcacdabbdbdb
+cccdbcbdcdcaacaabbdbaacdb
+dddcccabdaabdbbdbddacdadadcbbacadbccabbbcabcdcaacdcbacbaaabdcbdcd
+caaccabcabddabcb
+dddbabdddcbdccabdabaddddadbddbcbbddcdcbadbdabdbadabcdcbbadcdabbcadbbcaabdbccdcdcbcbaddadcadccacdabcccabab
+acbdbcacddadbaadbaaa
+bbcdbcdcadaccdddacaaddcdacbbdbaabdaccbacbbaccbdcbaddddcabaabdbcbababdccaccdbadccaabbbcbccacadadcdbadd
+addbbcdabbbaaadcbbdcddacbdacaccbbdacdacbbcdadabacbbaacdccdcdacdbcdabbcddacaddccbadccbbccdcb
+dbbcddbddbbcccaadcbbb
+cacdaccccdcca
+bddbcbbdcdcbdddadaadbdadcaccdaadcdcbaccadacabcdddadaabcbacdbbdacbaaababdcccacdcacabdbcadaccddbcaba
+abbccdcdaaabccaccdacaadbaaaaaabcacccbdacaccbcbcb
+dabbcbaacdadddcccdbdcba
+babaadcbdaadadbaccdbcbcdbccdbbdcbccacddcaaaca
+ccacbbdacbccbadccbbdcaabaabaccadbddbccdbdcacdaacadaacbccbdcbbbba
+abbadbaacccaabcbbcabacdcacdacbdccddbccbbab
+bbdabcbddddbadaddba
+cdacccbaadbac
+bdabacacdaaaabdaddcbdbcadb
+cdaaabcbddabbacdaadadcbbdcdadcdcaadbdccaad
+accbdcbaccdbbdaaadacdacbbbdcbddbabcabbdaddbabcbdb
+bdddaabadacabdacdbdcdbbbbccaddbbbdadcccaacccccbdabaadaddbadbaccccccbbbbbbddabcdab
+dabbdbbbadbbbabaccccacadcabaabbaabcabb
+daaacbdbcbaaadcdabcdcdadddbdddadabbbdacbcadbdbad
+ccbdaaacacbdadaaaadcbbbbdbbddabcaaaddbdadcbdaaacbbcadbdaaaadadbbbadddcabcdccadacd
+ddacbdcdbcaccacdddaaddbadabacaddadadddacacccaacddbddaaddabacaabdadbdbbbbacccbbdadbbdcdcbccacc
+dbdddbdcbccdbabdadccdbcddc
+cdacbaadbbb
+dbbadbddaaadbcacababbbdacbbbccbcdcdbdbcbcbcaaaaacdddcacaaacdabcbcdacbcbabccbddccbdbadccbbbdcdabbccaaaadbddbba
+dbdcddbcbcbcbbbbcaaaaabaaccaddcbdcaacaacdccdcaadadbbabcbbcaacadaccdccdba
+cdbabbbdccabbcbbacadacdadddddcadbbcbdad
+dbbbccabccbadccadddabbadadcabdbbaacbbbddddccacdacb
+abcacdbaabbcccdbccaaadcabacdcaaaacccbabcaccadadcdbcadadbdadcadba
+cccdcdbbaaccbdacacdaadcbcabbaddbabababdcbabcccdcdcbbaabadadbbccbcbcacaddbdb
+cdddabbcbdbcaccabbbdaaaddcdbabdcbccbbbdaaabacbacaabacdcacdadcbccbcbabddadaccbdbdccacabcbacaabbbbbcbc
+cddcdbabacdcdcdbbddabacbacdadddbbcbbdbbacaaaccdaabadcbabbdcbabcdbbdadadadbdaaddddaacdcbcbbaadbdbabcaddbd
+cddccbbcdcadcbccdcbbaabbdcdcbcbabddbaabbaddbaddabbcbcbadcaabcdcaccddabadabcaadcdbcaaadcbbbcdbabbb
+aadcbdbacbdbacddadcbbccbbbdba
+baddcccdcbbdac
+dadadabcbcdbadadcaddabdaadaacdaddccabbbddabbcacccccbdbddcadcacddbacbdccdacadacca
+cccbcbcadbcaacbdaadcbccbacbdbbccbacaadcaaccacbdcbccdbabcabdbcbdcddccdcdcccac
+dabbcbcaddd
+cbcdcbacbabbdbcacdadaa
+dacbabdbddbdadabdccbdbbbaddbadbadccdbbccdbcaddbbbcdabaadaccdaccbcddcabdadc
+adcabcaccdabdcaacccb
+aacadabcaadcbbdaacbdbacdaadbaadbbbdbbbcbabdbcbdbabbabd
+dccabaddacddbdcccddabdddbdadcdbddccdccababbbadbcaa
+acaadbcbaacaaadabcbbbcbdadaddbd
+dcbcbdcbdaaddcbcaabdcbabcbadcddaacdbacdbc
+baccaadadbacbdbcadaadbccbbaabddbdbdbdadddacdabcabbcdcdcacacdbacb
+cdaabdcaddbdcdc
+cbddcadccacbbaaabbdcabdcdbcdadccaccddcaddbcdcbdbbbababdcccdadababcdccacdabbcbbcaaadc
+dcabcaababbaabdcbbdbccacacacccbbbccdcbcbbcbabbadacbaa
+daaccccddcddccbcddcbbcdc
+aabacdbccabaadcadaddcdadbdbbbcdacbadcdbadbbdcbbdacaddcaacbddda
+cbddbdcabcadbccdacbccaabccbcddaaaccdcdaaaabadcbabadbabdbddaccdbbaacabdcddbabccbccaccb
+cbcdcddcaccacadcbddcbcacbabbcbcabbdbaaddabdcbaccdabaabcbcd
+badbacacabdc
+bbdaaabbadcbaacdbcacacbddcdbabcbdabadcbdbcaabbdcdcbdadbcbcbdab
+caaabdabadcabdcddbddabccadbabdab
+caaddbacbcbdcbcadacbbcacacddddacdcdabaaacbccabd
+dddabadadaabdaadcadcbcadcbdbcacddacdbadacbaabbbbcdbabbadcaabacbdabadcbb
+acbbcacbddbdadababcddbdcacbdccaabcbabcaaababacdbcdddbdcbdabdbbcacccdcbbbda
+cbdcdacbacababaaabbccaadacbccabbbdcdaabdabbdaadababcddacbadbccccbcadbaaaccdcdbb
+dddbcadadbcbdcdddbdcdaddccdccdaaaaadacdbcadcaaccbcabdcccabbacddbbadbbababdccdbcdccccdcbadabbdcbdaaa
+bcbcbbaabadccdaaccdcbadbddcacadab
+accaacaadccccddcdabddbccdbacdadaadcbbabbbbacadcdcbbaaabaacbacbcbbbbbbabcbdbabddbaabdcacdcad
+ccccdbbbdadbccbabcacabdcababcccccbabaccbdcbcaaccdcbdbbdbcddcdaacdddababcaadddc
+bcdbaaaaaaaacbabccbbdccbdabdaadcbdacddacaaddbcdcbbbbbcbbab
+adadbbaacdaccccddbdcacc
+baababccdbdcbddcaacbbbcaaaaaadbdabddaabccbbcdccccaadabbabababdbaacdbcbbcbcddbaaca
+bccbcbccdcadaacdcddbbdabcdabdddabbccdcbbbbcbbadcbbdcbadabbbdbcdddccaadacda
+bdabdaadcdaadadddbaadcdc
+cddabcccaddadaaaaacdbabacbcabdbdaaadcaabaddabbdcbccadbbcbbabdccabaadcaaaaabbcbcbbac
+bdaccbcbabdccacdbbbcdaaadbbbcbcdcdaaabcbcdccabacaddadbccacdbdbababddcccda
+adbbdabdcadcacdddabcbcbbaacccdaddcadaacbabbdbacaabddbcabdcbddddaaaacdbbdbcaadc
+dcdbddcaccbabbd
+dbdabccbabbbdaadadddcaaadcababaaaccddcac
+cbadbbcdcbbadccccdcabdabdbaacacdadacbaccadbdcaacddcdddbbcbabacbcbccbbdcdddcbdcadbadaddddbbadbcacbbcaadbccb
+dbddbcbadaccbaaadb
+bddddcbcabdcaacccccdcaadcdddaaaccaabbdcac
+ccaabbbaccbcaadbdbbddabadcccdcddaab
+dbaabaabdcbbcadcddaaaddbacdbbbabbbdcadaaacbbacacacccccbddaacdcdcaaaaacdbbdadbdaadbd
+aaddbcabbddaccababcbabccbaacddcccbcadbdbddcdadbaaddccdcdacbadacaddaacbacccbadccadcbbb
+bbdddabcdaacdcbaabdbabdababcdacaacabdcdadbcdbdaabacaadbdbadcbbbaddbdcdcabbbbbbadcdcdcdaaacbbbadbbbcaaadcbcddc
+bbdccabcacacdacdaadbcbcabdbccdbaabdacdbdcbddccaacbcccbddacccdacadbbbdb
+caacbbdbcdabdcdadabcccbcbbbcbbdcbacacbcddacddb
+cccccbdabadccaaacddbdbacbdbccaccccdadcdccbcdbbbacadbcabdbbbabdaabcca
+abddadcddaababccbddbdddbddcbaadbdcdaddbcacbcbccdbabdcabdbcbbdabaddabdaa
+cdabbabcbcddccdaabdbabcbacaaaaacdabddbaccddddabdbabbccbdbbadcccc
+bcbabbaaaccbaaddccccdcabcdacaadbabbbaccabaaaabbaddbadcdbdadacdbbcdbdcdbdbacbccdadacbcdacaadbd
+accdcadddbbdabccacccdddadcbddbbcbbbcdadaccbddbdcdaddaaddcbcdbbacadadddbcdcacccadaccdcaccddbbddccbb
+bbcdcccddcabcdcddccbaccdbbcbcaaaaaadbbdbcbddbababdbabddccdbbcdbbaacdababdbcbbdaccdaacbdbcdadbcadada
+aadbabcbdccdbddabdbcdcaacbbadb
+cccbabadacdadcbbcdabbbbddabbddbbabcbcbabbacabcccdbbaacdcacaabbdacb
+bbddbcdcdbdcdbadbcbabbdccbcdacdccddbbbacaccacdacddbbcbabdcdcacdccbbadbdbccbcdbdadcbabbaaaaacbbaadb
+bacccbddbcbccbdbbbdbbdcccdccabadddddbadcdcbabdcadbbbcbbaaabdc
+bbdabcdcbdabddcabadbcadccdccbaccdddcbcaddababbbccacccdaabbdabcbbdcbccbcbdbaddaaabbacdacbcbdabbbcaaaabc
+acaddadaacaabdcacdcaadccacdacada
+aaccbbdcdcbcdbbbbbdaaababbdadcabdadadbdddad
+acccbaabadcdbddacdddccbbcaaaacbdccdccabaddcca
+bacdbcdcbbdcacccdbcbadaddcdbbaaacacadacdcaccbadcddcbccaadadacbdccdccdadcacdccadbcacddaabd
+abcdbddbbdaadcbbdacdddaccdaadbdbdbbdcbdababdaacaaababaddbccbaabdaacbdddabbcabdaad
+adbbabbaabcbdcabcdacdcbdbbccaaccbbcb
+bacdcccadcbbaabcdbcadaabcbcbcdaaabbcdcbabcddcdadcacd
+bccbcbbbbadcadbdbdaddacabbcdaadbdcadddcdbcdaabb
+bccddccaacbcdcddaddb
+cdabdbaccadcbdaccadabdbbdbbbacbcdaccbccacbcccaabbdcadcdbcbdaccbdbbcdbcdacabcacdccdadddbacbcaadaabaca
+ccdaddcabaaaacadbabababbaaadbaacccbdddcbdbcaabbaddababcdcaccdabdabcccddcaacadaadcdbccb
+cadcacabbdabdcbcdcbcdbccdcddcbadcbabbcccbddccbddcdbadbadb
+abcacadcbdadbbbdcbac
+aabccbccdbbbaababbdcbabbadaabdaabbaabbbabbbaababbbcbbdaccaacadababd
+cdacdccabdababdaccbbbcccdccccbbacbbbccbdccaadcabaaccbbac
+aaabdbbadbcbbbcbcacdabbcddadb
+adacdabcdacabcadcacbaaaddacbdcbbdaddbcdaccaacaacbbabcaddccdbccabddbbddbbabdc
+dccdccdaccbaccadcdccabcdbaabadacddcacdaabdbaddbd
+dbbdddabbbadacbabadbbadad
+bcdaacbcbabbbdaaaadcadbbadcaddcbcbcdccdccadbccad
+dddadbccdccdbbbcdcabdda
+bbacccabaabbcaadcacdaaacbaddccaadbddbddadd
+bbdbaddbddabdbacddcdcdcbddd
+adabbcdbdbabccddbbabadbadddcbbadddbaddbbbadaddddbbdddadcbdbcdbcdaadbd
+cccbddaccabccbddbaaaccbabacdbdacbadccdcdababcdcadcadacaadbb
+bacdaacdadbcada
+aaacabddbcbcbdadacabdddacddcbabbddcadcaaadaabadaadbbdbbbadabdddaadcbda
+cdcbdcbaaaaccacbccbdbbbbcbbdcacbdbdbcdaddadaabaadbbdddacdccacbdabbccaacddadcddacadddbabaacdcdbbbba
+dbdbdabbdcacdcbc
+bcaccbbcbcadabacadddadcbbbcdbcabacddccaacacbbadcbcbbdcbabcbbddaccdbdabbaddaacababbdacdcaaaabbdcdcdcddba
+cbbbccbacdaabdccabdbcbabcadbdabdabdcaadcdabbddddddbabcdc
+bdcdcbdaadabbbbaa
+babcbbbdbaadcbdcdbabcbbbdcbac
+adbbbadbacdccbccaaadadddacbddc
+dabcbbbbacb
+cbdcadaacadcbcdcaccbacddbddaadaadbbcbcbbdbcccddcaadbccbacabddabbbdccdabcddbdcdccdadabadb
+bbaddbdbdcdcdacdbdc
+dcaabcbdbbcabbdacdcdbabbcccbccadaddddadcdcddbadaccbabcbadabccaabbcdaacdddbabccbdbabbdccdabcdb
+cabdbbdadcbcacddaccccbadabaccadabccadbcbdbcaddcddcacbac
+bbdcadacacadacbbbddcadcdbadbaadacdacbaabccccddccbabdacdabbddcaacccaabddbaacccccbbddcbdbcaabca
+bbabbbcacbdabaabbcbdabadbddabbcacbdacddadcbbcdadaaddaabbcdbdababcbbaccbbdbddccdcddbacdcccadcaaabcdbabacdab
+bbdcdddcabcbabdacadacabccbaaccbdacbddacacdbacbbbdcabdcadbbadbaacabbbccacbdadbaacdaadbbaddabaacbbbdbbdd
+bbcadbbdcabbbacaddbaaacabaaaacabadadcbdcbad
+abddbbcbcacdabbdcacbbaccdaabbbcaaaddabcdadbdbabdb
+baccccbbdcdcddbddcabbbbda
+aabdbbaddadbbcacbdccdadbdbcbaccbbccacdbbaaabdccadddaaddcba
+dacbcdaaccaaadcaaadacabbcbdadaabbcaddcccccbccacbadcddadcdcaacadbaaaaaccaacdba
+caddbdbcaaacacdccadacdabacaabbbcadddcdbbcabbdcdbcabbdbacdbbadbdbcbadabccacddbcdcccdcdddbacbacbccabbcddb
+cabbdcacaadaadbacadccaaccdbbabcdbccabbbbacdcaadcdacaaaaadaa
+adcdacaaccdabbbacbdcaadaacccaddaccccaaccccacdbdadbcbdcdadcadd
+cccdbbbabbccadaabadadcdabdacacbccbcdaabaacaccbaadddd
+dcaabcbcbbddccadadaa
+bdbadcdccddcdbdbccddcbddcdcacdabb
+bbbccdcadbbdccababaacdcbdd
+bcacccadcacbdcdabdadaccbdcadddacccaacbcabaadcbbcdbdbcacd
+dccadbbdabbbccbcbbacacbabdcbdcbbcbccdabaaddbadaaddadcbbccbbbbddabcbcdbadbaa
+dbcdddcddadbcbdabbcbddabcadbcdadddadcaabacacbabbcdccbcdccbbaccbdadacacadbadcbddbbbbbcbacabcabacddcbcabaadad
+cdbbcbbadbbadbd
+dacbddabbacaacaaaabdbdbbabbbbacdcbbadabdadabcabacaabcacbcdccdbcdacaabdbacbbcaccadcdabbadcadcdcbac
+accabddddbdaddaddccbcbdabcddddbaaaccccbdbbaabcbacdcdcaddbabdddacdccbdaaaacddcbcbadaccbcbb
+bbbaaadcdacbbabdaabaadbbdcbbcbbacd
+bcaaccdbdccdbdabaaadcbaddbcb
+bbdbbbbadbbddbdaddacacaadcbbbbbbabacabcadbdabcbcbaadacccaccbddaabcbbddccaaabaacdb
+addcbdbcabbabbdadaacbbcccdcdcdcdccdacdccaabaabbdcbcdaccbddaccbacacccbccaaadabbdadabbbcccbcccabdacbbddb
+abcccdcaacadcddababbbadbdbacbd
+dcaddbdaabbcabbadbdbdad
+bacaccdcdaaacdabaccadcbcaabbcacdabadbdbbdbadabcbbcbacddab
+ccdbcabdbccbbdcacdaaaaddabbcccbadddccbaabbabbddabcaaabcabcbdadcbcddbcaaaddcababbacdbbb
+cababbdccbcbccdbdaccbabbdadbbcadcbccbcbaadcdbdadaccacbdabbcabdddccbbdabadbdbabccccbbbccacccb
+cdacaddbbadaddbdccabcbbaabccadbacabbdcaca
+cccabaaadbcaccbadcaaaabbbbbadabdbadcbccbcdbaccdabbaababaadcbbccbdbddbac
+cdbbbcdbacacbcdcacbdabac
+aaacccdabddadaacacaabcadcadabcddacbacbbbbabccbdacbcbacccacabc
+cbcdbaccbacdabbbdadbdcabbcadcbccdcdccbddbcbbbcdbbcabdcddbbdacbbbbbcbddacbbcbccdccdcaddcdbabc
+dcbcadcbcabcbddcacbddcaacbacbabbaaaabcdaadcbddbadcbbdcbdddaaacaadcdddccddabadcdacccbbdccdaddbdbdaa
+cbcaadadaacbbddaabddacabbbdbcdcbaabbacddcbbacadcabdccbcbcdbabcabbdaabccbbadcbcddbabdcbbbaadbdddcdcddc
+bdaccabbbcbdbcbdddcbcddbaaabadbccbbabaddcdbbbdcbcccbdcddcbabaccbcccdddcdbbcbbbbdbccbbbc
+cdccabacaabbbdbdcddbcbaaacbdadbcdaadcbcbaaccccacdddacbaacbabcdcb
+aaabdbcccbadcdcdbcdbabbaacc
+ccbddbcbcdccbddbaddaacadbdcaacadabcddbbbddbaaadccdbadddadcbcccca
+adbcdcddddcdaabadcdabcbadabbabada
+bcacacdbbcabacbcaadaaabaccbbd
+aacdbaabcaabccabbcdbbcc
+bdaacbcbadbdbacacaacaaadbcacadbdccaccabacdbccdaccbdbada
+bbcdcbccdcabbabdbcddbacc
+bdcdabadccbbaacbdaadcddccabddbddbbbbadd
+ccbaaaaabcdbaccdcccbaccdcbdbdbcdbdacddcbcaadbccbadbdccdccccdaacbabbdcdbbbaaaaddcdcbabdb
+acadabcdacccdcacaaadaaaadbdcacdabbcbcabbcaacbaaadcadadcbdbaaaadddbcaabadabbabbadd
+acccabbccababcabdbabccbadaadbbcdabadacdbacadabccd
+abcbccbbababddaaaaacacdbcdcdbabcbddbdccabcbcbacbacacbaadc
+dbadaaadbbdaacbdbbdacababdacdbbdbccaadbadbcbccabcdddaddbdcddccbdbdacaaddadcacacaacaacddcbbaaccdba
+baaabacdaccacaaadbaaadcabacaddadcbcacdbacaacccbccdabbdbbccbdcaddddcdbbdcbdcaaccdadadbccbddcb
+abccababbadddacdcdadbacbaaacabbcdcddabddcddccabcdbccaabdcbccaddabdbcbcaadacadcdbaccaadc
+dbacaabbcbccbbcbbbdbacbad
+bdccbbdacbdbaaadacaacddcdaccdaadcdcadcccbcaddcbaccabcbbbbacdcbdbcdbaaadaddadcaabacbacdccbbabddaaadc
+ddbbdcbcbacaddcabddbcadda
+abbacabbcdbcddbbaacccbaddabbbbbbbcadbddabbdaccbddbddbacccabbcdababbdbcdcaaccbabbcddcc
+daaaaaabbadacabaabdabdcdbdbabbdcbabddca
+aacdcbcbbbbbdaabcaacaadccbbccaccadbbadadcacdcccddcbdabcabaccdccbcdbbcadbba
+bdcaccddddbccbbdbddcabddddba
+aaddbcbcdaabbbdddadcdbcccbdcbddaccbcbabcbadacddadabddbadaaccaabcddbbccdabddbddcadbccdadadabbcbbcdbadbaa
+addbcdadddadaaaddb
+dbbdbababdaddddccddddabcdaabba
+cddbacdbccdacbcdcdddbdacdddabcddddcdcbdccdabcdcddbddbcdccbbbdccdbbdbdbdadcabbbcbaccda
+caccbadaddaaaaabacaccdcaccdaaccadbadaabad
+cbbbbaabcddadcbdccccdabdaaaaaddadbcdcabbdbcabcb
+adcbbdbdacdcbbaabccabbdbaaabbbbcb
+adcddbbdbbcadbdcccbcbcadacccdacaaaaacadbdddbcdbcaabbb
+dbbacacbcbadddbabdbbcdbaddccdcaaccadbabcbcaddaacdbaadcaaa
+dbabbadcaddabcdadbaabdbbacbcbdabdcbddadcdddbadbcbabcbbcbcccccccaadabacbbbdcbddbb
+aaabcddbaabdddabcabbabadcacacbcdcccaaacbbbbaddaddcbcabcddadbbad
+cbacaddbaadbabbbcdcdadddcbbbdddddccccbacadb
+cccacccddbbacddbdddbccbccdbabddadcbadadcbcabddacbacbaddbbcbcbabdbbaaacbcababcacccaabbbcdacddccaaacabd
+cdcdbadddadaaabaacacbacddbccbcaddbaddcdcadbababaaaaccddbacbdacacbcbbdcbcdabcabccdccacbbdaabaacdddccccccbcaad
+cababdcdcdbacdcadccbdcdbbadccdbdcaabccbbaddbabbdbddacaddbaaabbccabbaadbbbaadadcbbbabbdabbcabdddbda
+aacdabbbdcadabcabababbbab
+bcbcabcdabbbbdbaaccbcdabcbabcaabddcbdbbbccacdcbc
+151 81
+bcacbbaccbabbacaabcacabacaaaabcbbaacbbcbabaabacccaaccbbabbcabcacbbbcacbabccbaaacabaabb
+bbcbaabacaccaccaccabcbcbaaccaabccba
+abacbbccbacccbaccabbbbabbccaabacbcaaaabc
+accbbcbcabbbbccbacbcbbaaabccccabacccab
+abccabcaacacacaccabbacbabaaaaa
+cbbcacabacccaccbbb
+bcbbabacabcabcccaacbacaaaabbabaac
+bcabcaacccaaabababcabbcbcbaaccbbbaabcccaccaacabcc
+abbbbbbbaacaaacaccbacacbcacabacbb
+bccaaaccbaabccbaabbbbccbbbaccbccbaaacccaccab
+bbaabaabbcbcbcacbcaaaccaccbcaccbcabbacbccbacacababbbbbaccbaaacbccbacccabaacaaaccbccaabcaabcbacbccbbb
+accabbbababaacaaaabbcbbbbcbababbbbacbbbab
+cbacacacbb
+caaccbccbbbbc
+cacbbccbcbacbbcaabacacabbbbcbcaaacababccccacbbcacaabbcbcccbcaacbacbbbbcaaacbbbcbaccab
+acacbccabaaba
+baabccacababacaacabbccabaabcabbbbcbbabaabbababbabbbbaaaccbbaabacbbabbbbaabaaccbbabbbcacaaccba
+acbbaaabbacbcccaacbbba
+abbbcccccaaabbbcaacbcbcccbc
+acabcccccbabbbccbaaabcbaaabba
+ccaaabbcbccbaacbcabbaccbbcabacabcacbacabcccacbcbabaaaaabccccabcbcaaccabbabbaaabaaabbbcacababcccbcb
+bacbcbbaaccccccabbbcacaaa
+bacacbbacbaabbacaaacabcccacacaaccaaabacc
+caaccabaccbccacbba
+bcbbcaabacccbcbcacbacacca
+caccabcbbaacbcbcccbbbacaacbbbccaabccbabbcbbccbccbbbbcaacbaa
+abaaabbccacaabacaacccaacbacacaccabbccac
+acbaacaccccacacbbbabcacbcaccbbcaabbabbcbcccabcacbbabcccbacacaabbbaaacaaacc
+abaabbaaacababb
+bcbabaaacaaacaabacbbccabcbbbbcbacbbbbbcbacacaaabaabaccaabc
+caacbbbcabaaacbacbbabcaba
+bcabbccbccabb
+ccaaaaababacabbbccbccabcbacabaabbcaccbcbacbbacaaaabbbaaabbbacccccccacbcbbaccaaababaaaababbabcabaabc
+bcacbaabbbcbbcbaccaacbaaacbabbcabbabcabacbbbc
+babbcacbaaaccacabbcaacacbcbaaaaacaaacccbcccbcbcacbbaaabacccabbcabacbbcbbbaaacb
+cbccaacababbbabaacccbccacbcaabcccaaacbcbaaccbacaacabcacbaacaacbbccabcbbabaaacbabaccbcbaaabccb
+bacabbccabcbbbbacaacaacaabcbcabaaacbac
+bbbacbbbbbcbccaabcbacbbcabaacbbcbccaaccba
+cccaacaabcaaabcabbacacbabbbacbaaaccabacbbabacbcbabcccaccbbbc
+caabccbaabbbbbccbccaacbbbcabcaabaabbaaacabcbcbccaacccbcbaaccbccaabbabcc
+accbcbbabaccccbaacbabacaacccacbbabbccaabbccccbbabbaccaccacbccb
+accbbcabbcaaacbcacbcccbcacbbaabbccbccabaacccacccbaccababbaabccabaabbcbcbbcbaaa
+babacbccbbcbbacbababacabbccaacabcccbbbbcaaccaaabacbbc
+aabcbabbcbcacbbabaabacccbbabbccaab
+cbaababbccabaccaaaccacbbaaacbacccacabcbbccabbccbacaaaaabcccaabbbcccbaaaaacaacbaaccabbac
+bccbcabbaabcaccbac
+ccbbcbabbbbabcbbbbabccbbbaacbaacaaaabcbcabcbcacbbcabbaacbbbbbaabaabcbcaaabbcbbbccabcbbbbacbcaaabacbbbbccbb
+abbabbacacbbbccccaccbacabaaabcccbcbaaacacaccacbabaaccacaccbbcbbbcacaaacaabcbbaabbb
+bbacbcccbcacbcaababcaacbbbbbcbbacbbbccababbaca
+abbccccbbccbcbccabcbcbcbcaabbccacabcbcbacababbcbabacbaaccacabcabbababccbaabccacbaabbcabaaccbcacababcbbaacaa
+cbcabccbcacacbaaccaacbbaccbbcbbccccaacccccacabacccbcacab
+ccabcacbcacbcabcba
+bbcccabacbabacaacbbbccbccbacbbbccabbaacacabaccccccccbcabcb
+bacacabaabaaaaaaccbbaccbccbabaaaacabcacccabcbcbbaabbbccacacccaacbabcb
+accaaacaccccacbabbccaacbabbabaaacaccacacaaaaabbacccccbaac
+accccbbccccaabbabacbaaaaacbaabababbbbabcaacbcbbcbaacbbbaabcbbcaacbcbacbbbabbbcaccabbbbacabaaacabcbbab
+baaabaabcab
+caaacbacbbaaaacbcbcccbcccbbbccccccababaabacccbcac
+bbcccaccbbcbbbccaaabbccacbbcacacccccabcbabbabcbbabbacabbacbbbaabbbcabcbccbabaccaabacbbbbbacabbcbacccacbbcaa
+bcbbabbccbcacccabaabbaaabbcbbacbacbacaccaabbaaaaa
+cbccbbcbaaaacaaaacbcaabbaaaccbb
+bbaacbbbabbacabbbabcbbabcaacacacbccbcbbbaaccbcbaccaabbbcccaaaccbababcbcbbbabcccacabcacaaaaacca
+bbaabbcababbcbaaaaaabaabccababb
+accbacaabaabcbcccccbccccaabacbbcbbbbababbccbcbabcabbbccbcacabbccbccacbcbbcbcabaccbccabcbbaa
+baccacababaabbacbaaacbbbbccbbcccbcacbbcaaabcbcbacccbacbbacaabbbaaaaacabbabbcaccbbcbabcccbacbbccaacbcbabcbbbcc
+ccacabcccacbccaacaabacaccacabbbbbbbbcacaaababbbbbaa
+abccbaacccacccabbbbbbcbabcbcbaccbc
+bcbbbbbacbccbcbbabacbcbac
+bcbcacbbabcabcbbccccbaaccbbcaabcacacacbcccbabbaccbacbbaabcabbbbcccbcbcbccb
+cbabbcabbcccaacccccacaacbbbabbacbc
+cbcccbbcbabcbcaabaaabbcbbcbcaaacbc
+bbaaaccacbcbbacabbbcccbacabcbcaccccccabccab
+acbbbaabbacaacabcbbaccbaaaccbcbaaacbaaabcbcaacbacbbbccbab
+cacaaabbbbcacbccabcbaabccbcbcabac
+aabbbbcbbbabbbccc
+baaababaaccbacaaaacbbacccbabbccaaaaacbbaabccaccbabaccbacccaaccaabccbacabcbacbaacbcbabbaccaaaacbbab
+bbcabacccccbbacbbabbaabbaaaccabcabaabccbbcbcbabbbbaacaaabcabbaabbccbbbcbabcbbcaacac
+bccbbaccbaabbbacbaccbacacbccbababcbccbaabbacaacaacccaaaacbbaaaacccbbcaacbbaabaaab
+aaabcaaccabbcbcba
+acbabccaccbbbccbccacccccbaccabcbacabcbaaaabbabbaccbcbbbcaacabccabbbacabcbbbbabccacaabbcbccbacbccbb
+ccbbcbbacbcabaabaabcbbabacbaaaaaccbbacaaabc
+bccacaaabacbacabbccbbabaabccbcbacbbabcbccbbbbacacaaaabbacacaccabbacccbcacacbcacccb
+bbbbbcabcabbcbabcbabbabcccabbbbcbbcbabcaacbbbabacacbbcbbbccbaccacbccacbbababaccbacababcbaaccbabaacabccbc
+ccccacacaabbccbcbcabccabbbaacacaacccaaabaabccbabacacccbabcaaccabcccaccbbcbbacabbabaaccbbcccaaabbccccaaabc
+aacaacaacaaccacabcbccbbaaccacac
+bbcacaacbbaaabcacbaaabbcbbbbacacbbabbbabccbbbaccccabaccbccbaabbabc
+baaacbbbbbbcaabccccbaabacababccccabccababbbbaacbbcb
+ccbbccbbbbaaaccccccbacabccbacbaaacabaabaabbcacbaccccbba
+bcacccccbbaac
+abbcbbaccbacbbacaccc
+accccccabaacbabacaacabcbabaaaabbbacabaccbaccaaaccabaaacbbbaaacbccabaaacbbbbcbcbaabbabcaacabccbcbacb
+aababacbcbcbccbacbcaabbcabcacacaaccccbccccaaac
+ccabaccbbcbaaaacab
+acababacbcabacccbbabbabcabcbbcbbabc
+ccbbcabcbabbcccbcbaccbaacbcbabcbababbcbcabcccaacaabcaacabbcbccbbcaabaaacaaaabcaaaabcbabacbcccaaaca
+bbcbaccbccacabccaccacbbbbaaacbabbbbbcb
+acbaaacbacaababcaacbcabcacaabacbbcabbcbcaabaabcaaacaaabbccaaacbbbbbb
+abbacaccaababbbaaabbbcccaabacbaaaaabbabbbcacbbabaaccccacabbccaaaabbaaa
+babacbaccbcabccbbacccaa
+abccbbabbabbcabccbababbbbbbaaccacbccabaaaaabbababbacbbcbcbbbacaabababa
+cccbbcabbbabaacabaaabbababbbccbacbacabacbaaaacbbaaaacbccbcbcabbbcacaacabccccccbaaabbacbacabbb
+abbaabcacbbbbbccbbbaabccaabcbabbbaccbbababbcbbcaabbccabbcccbbbcbcacacabccacbcbcba
+acbcaacbbbcacbbcbaabaaccacaaabbbcbbbaacbaacbccccbaabaacbcaccaccbbcacbbaacacbabb
+aacbbaabbacaaccbcccbcaabababbb
+cacbbccbabbbcbabbbcccbbbabccabababaaaccacccababaaaaabbcccaaabcabbc
+aaaaaacbccaccababcccabccabbcaababcccabcaababcaaabbabccabbbabcbbbabaaccaaa
+abacabaaaaaaabbbccbabbacbcabcbbaaacbabcbcabbabbbacbbabaaccccabcabccba
+baacbaaaaaccaaabccabcbbaacababbcbaaaccbaaabbbbcbacccbbbbaacacbacacaaabccacaccabba
+cbacaabbacaacaacbcc
+acbbbcbaccbaaaaacabaccbbcabbcacbcbccccc
+baccaaaacbacaaabbbcbbccccccbbaabccacacabccbaaacbcacbbaabbabcbbaababcccacbcaabacccacbcbccabbbbcacbccaccba
+cbbbabaabbacaabcabbccbbbabccaccbcbccbcabaabacabacabaabacaaaaccccaccabcccbaccaa
+accacabacccbbcccbabcacaacabcaaabaccaaabbbccaabcaaccbcbcaacbaaabbcaaacbccbcbc
+bbbcacbccbcaccacbaccaabcbbaaabaacccbbbbcbccbbacbabbbbbca
+cababcbbaaababbcabaaaabbbcaccabcaaaabaacacacaaabbaabccabaabbbcbaabccbcaacacabccaabbcaaaabbca
+bacbcabacabcbaaccacabaabcabbcaaaabbbcccccaabacabababcbbbcbcaacababbccbaccbaccbbbbcaaaaacacacacccabbccaaacb
+cbababbbbcbbbbbaacbcbabacabbbaaabbbaabbacbbcbacaaaacaaaaacaabcabbbcababbababcaacccabcbacaaaab
+aacacbbcabcbcbacbacacaabcacacbccbccabababaaaabbabcbbaabcababcaccababcabcaabbbacaccccb
+cbccbaccccccabcabacbabbbaaaaabbcbaaabaaacccababbacbcbabbccbabcaaaabacbaaaaaabcc
+baacaaabcbacab
+cbaabcbbcbababbbabbacbcabcababcabbbbccacabacbabacabcaabccbacbbcababbacbcaacccaabbaacccbbbcaabbb
+bcabaacabcccacbaccbaaabbbabbaacbccbcbbbabbaaccbcbaabaac
+acaaabbbababaababacaabcbababcbbcbaccbbaabcaabbcaabcbbabbabbcabbbbacacabcbbaabcaababbaaccbaccc
+cbcbcbccbbccacbcccbbcbabacaabbacbccaabcbbcbbbacbccbccabbbbaccbabcacbcbccb
+acbaaabbbccacbabbcbacaccbcabaabcaaacabaaacabbcaabcbacbacababcccacbacccaaaccaaccbbbccacacabaaccacb
+bcaaccaaabbaacbbccaaabcbabacacbaaaabcbccb
+accbbcaabaccabbabbbcbbaaccaacaacabbccacaaaaccbabcbccabacabacccbcccccbaaabcbabccbcabbcabcbabaacababbbba
+bcabaaacabcccabbbbabaccccaaaccbcaacabcbbcabbaaacaabc
+accabaabbcbbaacbcbbacabcaaabccbbaaccbbbbcbcbcbbbcbcacbbbbbcbcabacccaacacabbcccbbaccbc
+babcccbcccabaccabbbbbaacbbcabaaccaccaaa
+bccbbbaaccccbabaaaabcaaacacacbcacaacbccba
+cbcbabaacabaacabcbaccbacabccaacbbcaabbccbacacccbcbaabbbaababaabbaccaacabcabacccb
+bbcbcbbcbbb
+bccacccbcabacbbaccbaabacabbabcb
+bccabbabaacabccaaabccabaabc
+cccaaabcacabcbbbabaaaabaaacbbacababbaabababcbbaaaaacbabcacaaacabaccbbcbaabaacacb
+aabaccacaccabbaabccbacaabcabcacbabcacaabccaacababccccbacbbabcaccbacaacabcabcabca
+bcbabcbbbcccbacbaaaababbcbaabbccbbaccacbbbccbcaa
+acaacabcccbbaa
+ccbbaababbacababacbaaccabcccbbabbcccaacbabcabb
+cccacacccccccbccbabaacacbacaccaabccabccaabcbbcbaba
+aabacaacababaaccababcacbbbabaccacabbbbaaaacbbabbabbcbcbaccab
+aacccaaaccabcaacacccbacbaacabcbaccbabccbcaacacaabaaacbbbbabbcbaccacaaacabacbacccacccbcab
+ababbbbbccbbacbbcbbcaaaccaccabacabbbbcacbbccbbccabcabababcbabccbccaacbaccaca
+babbbcbccccacbaacacbaaabcaacbabcbbbacbbc
+bcababaabcccbcaabaccbaccbaabcbcaabbccbbaabbacccbaabbccbacabbcbcccaaabccccabcaccaaccbcacbacca
+bbbbcbcbaaabaaaaacaacbcacbcbcabbacaaa
+bccaccccacbcaccbbbacabccccbcbbabbaccaacbaccbaaabccbabcb
+aabbacbbcaccabbcbbccaacabaaccbcccacccabcbcccbaabcbbbcbcbaabcbccccaaacc
+abcbaaaacbcbacabbabaababcccbbcaacaccbaaabcbcbaabacbaaccabaabaabbbabbabbacabbaacaccbbaaacbccbcaacbccbbbacccacc
+bbaacabacbaaabccacbbacbaaacbcbbcbbcbbccac
+29 14
+cdacbbbbbbcadcbabcbacadaacdabdacdbbdddcaabbddaababbbadcdbadbaddaa
+bbabbcdaadbdddbdbccdabbaddcbbccaccadbacdacadbcdbcacdaaacabdcadbadcbcddbbbccaaabccdd
+dacabacbbcddaacadbabdacbabbccadccbcaaddcabdbacbaabdccadcd
+cbccaacbdcbdababdadbcaadcaadccaaccaccdacdcccdaccdaacadddcbdabbbacaddddcbaaaccbabc
+bbadcacdbccdcbcaabcabddbdaaabadbaddcbaddabcbabdabcaaacccddadacac
+cbaaaadcababbdcddccccda
+cdacccacadbadbaaaaaddbaccd
+aabcbdddaccdbbcbabcddcccbcbacccacbdaababadbabdabddabccdddcba
+baddccdadacaccdcabbcabbccdacaddadcbddbdbbcb
+abcccbcdaaadccccdadaabdbbbcddccddcadbddccdddbcccdadacbcbc
+dbcbbaacbdcdaaaadbccaaacdcbcdcbabaccadbbdbddbdbdbbdabcbabadacdbdcccacacdcbcdadddadacbaccaddbcdaabacbccabc
+baabbccdddaddbbdadadbcdccdccbacdb
+baaaaacbaccbaddacadcbcdbbabaabcbbcab
+cbcbabaccadadaaaddbcbadabbaaccbcbaadcdabdb
+bcaabaaadcddabacccbbcccdbbccbdbdbabdbbaabacbdbcccdcaabbacddddcacccdcdabbccddabbbba
+cbaddbccdaababddbbbdaabcdddbcdbdbcadcbcabaaaabccdbbcacdbbcbabdddddbaccbcdbdccdacbcdbbdaccabdcd
+dcaaccdcccbddabcdabdbddadbcacbdbddaacadaccbbbabbd
+ccbdccbddaccbdcddaadbaccdcdacddbdddadcdbbbabcacbacbc
+bbabcabdddcbcabbacacbddabbdcacacbacdadbbdcccdccaabdaccbdabdbbcdbadaccbcdb
+cabdccdbbcdbdaadbdadccdaccddbbcacacadddcacbddbaccddccabbcbbacacaaabaaa
+cabacccadbcddcaabcccdbcdccadddbcabccacdaddbdcddabbbcbdadabcddcbdddbdcada
+ccdaddabbddbdaccaaccddabdcbdacdbabadaacacbbaddddcdbccbacdcdabcaaadbbabdccdabbcdabdacbaccccbcdcbd
+cacbbccddcadccabbbacbaacabbaddcddbdacdbcccbcdaaddacacbbcddaddcdcdadccccaacdcabcdabadccccababcaadddddb
+bdcbdbdcddcdbcbbbaabcdaaacdabccabcdcabaabbcbbdbccacabbbadcbbbbdacacddadbcbadbacdbaabdacbdcccdcbadabddbbaccbca
+cbacdcbccdabcbdaadadbacdcddcacbccbcadadadabac
+aadcabdcbadbcaacdacabac
+dddcddcdbababdcacadadbadadacbcaaadabcdbdbddacacbcbcccdabaadabaabacdccbdcababadcaadcbdcbdbabdbcdadcddaddab
+aaaddadcdcbccdcbdadabbadbddaaaaddcdaddbcadca
+dcdbbbaddcaddccadcdcdddcdbadbccbcbbcadacacbaabdacaacdbbdbaddacdcccaabbcddbcddaddaa
+275 206
+cddcbbacdabcdbaabdbdabadadddcdcadadbcc
+bbabcbdbabccccddcbccccccacbdcbdbdbcbabddacacdaababcdabbdcabaddcad
+aadadcabbcdbbabdcdcbbcdddbaddcaabbddccadddbaacbababdb
+bdaccccbabdcaccbbdaaacdbabdbbaaabdccbcdadcacbdcbabaabbadcccbbdbdbdddadbaddacdbbdadaccbdaddbcbcbcdd
+bdacdbdcdcbcbcaaacbacdbcbbbcbaa
+cbbcabadcbcbdadbabacdbbbbdb
+ccabdaadddcdcbabababbbcbcacdbababcbacbabdabcbcbca
+cdbbabcabbbbccbdbbdbaccaccddcbacaaccaadacdcbbdcbbbacaadcdadadcbccdddcdcabbbcdaccddcbcdbabdaaaddacadbbaadd
+dcbbdbddabcbdccbdbbdccdbdbdaabdbddccbaddaadcacdbbababddcbddccbaabddccdcccbd
+cbcbccacacaccddbdcbccdbddbabdbbdccddaaddadacdcbabadaabcdddadaabdcab
+abbabbbbbcdadbaadddacad
+caddcabcaab
+dbdbacabaccdddadbdddbbabdcddccdaabbdadddcbddbbbddaddaaabbadbcb
+baadbaaddccacdbdcccbcbdd
+dbcdcccadabcac
+ddaccdadbdbcabadcadddd
+bbdaaaaadcaacbcacaacabcbccdacccbaacbadddddcaaabbccdcadadcccdacaaaabdadccccacacbadbbcdbdbcc
+acadcdcadcaaccddcacadadbcaababbaababdbcdbaacbaad
+aadabbcbbbcdcbbdd
+dcbdacdadabdbccabbadadbbbadcccbbcabccdcdbbac
+dbbbcccdbadacdbabcdaacadacbaaacbccbbcbbadccbbbbdcbaddcdcabdcdbaddc
+dcdbdacaabadbcbadccadbacacbd
+cbcbdbbabdbbcbcbbcdbbbcacbcadaddddddccdacbaacbdbaccacacdcddbdddadcbabdbddcbccdcdabdbd
+dbcaaabbbbbccaaabbcaccbaaabacdaabdbdcaadddbbbcaadcadbdadbddadddbabacaaaba
+dcaaabcadbddcb
+cbacdddaddcccdcdabcbabcadbbc
+bbadbadcaddddbaccbca
+badcbaccdbbdcdcbaddcddcbacaaadbbdbdaccad
+ccbddababacabdbdaaaadbddbbbbababcadbcacacabcbdacaadacbbadcdaddacdccdbabcbddbdcaccdabaccdcadcdaaadbbabdd
+cbcadddabcbbdbbbacacacbdbdddaddabbbdaccadabdccbbbbbddddcbadcacbddadbddbbbcdbcacbbdcbcadabccdbadad
+acbabcccddbddabbbdcacdcbbdccdabaaaabcabbaabadadbbaaaaccdadbddccbaacbbabadabdbbca
+cadccdddbbcddcaabdaaddcbddbcdabababbdaacddacbdbcda
+aabdcdabcbbbbcbdabdabaabcabcdbcabdcdcbc
+dbbbcbccdbdbcdabdccdddbdaadbbbcddadcdaaacbbabccbdccccdcabbbbd
+ccaabaadbccdaddcbcbdaaacbcaabbaa
+cddbbdbaddddaaaadddbdcbccabdddadbddaabadaaadddcbaaabdabcbbcbbbcadabddabbcdcdbdbacdbbcbddbbccdadabcabbccaaabca
+dcdacdddaaabcdaaacaddabdacacbaacbccbcaccccaadccddcdcabbcccdaddaddbddadbcccbabdbddbdbcccabcadcabbaacacadbcc
+addbbbdacdadcbddacdbdbcbdaccaddaaadabcccbacdbdcccbcbbcbdaaa
+bacbcccbabbbbbbadabaccacbaabbbcdbcaaaaabaaacdaccaaddcbddcaadcddccaabdacdddabac
+bbbdbcddcbadcddddabadbbcdbdccdbddadcccccadbcdabadcadcddaaabcbbabbbacabaaa
+bddddaababcbbdabdaabacdabdccaaddadaacdbcaadbccdddbdacaadddacadddcaaaabacaaccadcaabdcbddbcaa
+dabbcbdcdadddacabadcadbcabbbadddcaddadbbddcbbbbddcabaadabaaddaaacaacccccbcddbddbbaadbadbaaccdddbdc
+ccababdabbbddcaaaabdaccbabbccbcdccddcacbbadcacbabbddacabaddddd
+daccdcccadbdda
+dcadacdaadaaababdaaadbadaccaadbcadbabcddbad
+cdacdadbcbbacdbddadbcddddaaddccddaadbaadcbddcccdcbccadbbcbabbdaccdbaacddccaddbcadadbaccbcdbcaccacaaadda
+bcabaabbaaddbabaaccdbbbdbbcdcccacbdbbbbadbdaabbddbacbacdddbdadcbbbcabcbaabdbbdbbbdadadabddd
+caabadddbadcdbcaababccacdbdccdbccaaddddcbddbbbdbdddabcbbacadadcacacadcbbbbddbddbbcdbcadb
+bdacddcddddbadadabadddbccccbbabbdaadaadcdaadcdbcbaadddaddaaaaadcccbb
+ddcbcaccaabadcccdaadcdddabdcacaddccadcadcaabbbbaaddbdddbbcacbaacbbb
+dbbbabacdddcbccd
+acabdccbdbbcbcbaadbbdcad
+bbcdcdccacacaccadcbbcbbdacbdcbdada
+cccbbbbaaacdaccddccdcbbbabcdabdbccaddddacd
+dbaddccccdbcdbbbc
+bdddcaadbcddbbdc
+adaaaaccbaa
+cbdbaccbcdbdcdcdbbbaaacdaaccbbacbaccac
+dbcdabcbbadbcdcaccdbccdbacbdaaabdaaccbbcaabbaacdaadcaaada
+aabaadcabadbbdbbdbabdad
+accbcadccbbdaccdcbbadacabcbadbaadcbbadbbdbdaddacdbbccbcabdad
+daaadadcbdccabaabdddcaaadbdb
+bdbcbabbcaabccccddbbacccdc
+ccddababdcbcddabcdadddabdddbccdcdccddbbcccdad
+dbacabccbbacadcbdadccdbcabcbadadacccbddbbbbadbabaddabaddcacdcbdcaacabddadddadccdbaababddddcaddcabaccccdcaa
+dbcdbaaabccbdaacbddbacdaabbbbbdadcdbaaadcddadbcacabddcdcacadaddcadbcdcabbbccbcabbadb
+acdddabcacddaccccacbbbbccadcbbcccbbacacabccacabd
+cadbcbbbbbaaacbbabddccadadbaabddabbadddcdbdabadadbababcacaccdcabbc
+dcaabdbbcadccacccdaadcdadbcccdbcdccdacbdbdccbbbbbbccaaa
+cdacccdbcdbadcbaccddbaccdaaccbdaabbdbbadcddbcacbabbdcbdbdcccbccccdbabaabdddbdacccaccbdc
+cadbcacddcabdcdbbbccadddabccbccaccbaaadbc
+dcaacbbacbadacaacadcbcdddccaacdacbdcccbcacdbcbcadaccbdabbcdc
+adbbadabdbacdbcbcdbbaacdbaccbaabbcbdaaadabaaabdbb
+abaddabacbbdabdacbaaabcbabbadaaacaacababaadbbcadabbcdc
+badbdcddbcbaacdcccbaccaddbcaddddbbbbcacccaabac
+abdcbbbbbdbbddbdbdcdbddababaaabccbbcaccddbbadadbdcda
+cccccbabadadcacccaddbdddcabcdcdadcadcdabdaaacccbcaabbddbbdcadbdaccbcbdbdbdacddcbaaabda
+dbcbcaadcddddbdcacdbcbccabcccbbbbcbbadbbdbbbcdbddbccbccbaabcbdaaabbdbbcbbadbabc
+ccabbabddb
+bccdcadbcaacabcabcdbbbabbddcdcadaddcadbbcccbcccdbabccdcadddddbacaccaadaacadaadaabcbddaacacac
+adbbdbcacdcdbbddccbcaacaabba
+daddcbbbabcddaabadababcccaacadcaddcbbaddabddcbbddcdadbddcbbbcdacccabbacdbccadcabacdcbacd
+ddccbcddbddccddbaaaacbadaddca
+bcdbaabaadadbaabcbbbdbddacaaacccdadbcadccdbcc
+bacdaabdabab
+dbbbdcadcdabaddcbddbcadcccccaaadccdcacbbabacbbbabcdbaccbdbabccb
+bcadabaccdddddcacdddbabcadbbdadbbadabdabbaddbbccadcbcdcadbbbabddccda
+bcbbdbaccbaadbdaddbdabccdddadacabbcdbdcbcabdcacacaacacaaadaac
+cabbcbcbabdbbbadabdadbacbbddcddaaccdcacaaaabcbbccbbcdacabaaad
+bbccadbcbbdcbadcbcdbaabdbbabbabbabbacacbbaacacabccbdbaacdbacabdcdcaacddddbbdadcc
+dcdadcaddbbdbaadbcdabbddbbbb
+ddbddbbdbbabcaaadaddddaadbdcbcbbcbcadadcdcbabddcdabacad
+abcbccbaaabdccdadabccdbccacdbbdaabdcdbdbddacdadccdadccccdbaaaaaddabdcbccccdbdcbcadbabccbbadbaaacc
+babcdbbabdcaccadddbaadadbddbabbddcbaabccbcababaacaacabdcabacbadccbbcbadbdbcdccaadbbdccbbaccbdcdaaaababb
+ddcdcadaabbaaabbbdacacddbaabbdbadcbdcdbdaabaadaacaccbcadaaddcbaccabddcbabdadddbddcddadccbcdcbc
+dcdccacbbabbbbadccabdadacacdadbaccdabdddccaadaacdccabdccdbddcabadaacbbcaadbabbbaadcddccccdbabdbbbcb
+bacbadbcadacacdbbbabbcaabdddabaccadddcddcddd
+bdaacccdbdcdbdaaadaabbacbabcccccaaddcdbabcdcbdbdacacbbcd
+ddacdddabdacbbddababadcbadcdcbccdcabcaccbaaacdaadabbdcdbaaddcddadbcaacddcdcbacbbdbcbbadbcdcdbdaacdbcbca
+acadacdbbdaabdcdddabdcaddcbcbddcabaacbcdcdcdcaadbbdcbddacba
+bcdbccabaadcdcadcbacaca
+dcccaabcbbddabadbbcbbcbc
+cadadacdadbcbdbadbcbcbdacbadcacbabddddcddadaddcccddbddacadaddadacacbbdcd
+bbbcdcbcdcbbcdbbcbcbbccbadcadbbadbdcacbaaabbaddbacadadaaaaabcbcbbbcccbcccbcacaababa
+cdbdddcbdabaadabbabadbbbcadacdbdacddccabddcdadddbbcbdbad
+bccbadbacbacbadcbcbdadcbdcdbbacbbdbadcdbadbdcbcbcabddadbcbdaaacabaaa
+dddadcacabaadccabccaabaacccbccdcdaddcbdabaabddcddbcbacbbcbcbaddcaacaaddcdbccbddbbabccdca
+cacddcabccabbcbdacadacdccaaaacadcbdaacbcccdcbbdcabbdbccaa
+addcdadcccabbbacaabcbbcbdaccddddaadaccdccbbcbddabbbcbccacabaccdbcdadbbaabdcdbcd
+cbbddddcdadaabaabdcacadacbdbddcbbcdbacaddaadaddadadbbccaabbaacaaaadaccdcdca
+cdcdccdcddcddccdbadaacadccbbbbdcbccbacbabcdacccacbaadbdccdddabbbabdbdacbabbdddbdddcbbbbababc
+cbccccccbbdbcbbcbbdbccdbcbdbdccbcdbbcccbdbdcdcdbcabdbdbabcbdaabbabbaddaddbbdacdbcdadbda
+bdcbcdcaccacddcdcbbaabbbbb
+bacacbcdbddbcabdbbcdcabbaccbbdacdcdbdbdccdcbacbdbbdacdbadbccbaccbccabacbaabbbcabadbcabac
+dabaadaddcccddcdacdaccdccbccdaadcbacddccabbbbaadbdbdbdbdacbdbabaaa
+dbcabbbddbaddacababaddaaccccccbdbdcadbaadcccdadadabaca
+cccdddcddddbcadddcaaadbabcadcaaccbaacadcdccadadbbaabcdcbabdabbccba
+cdcdcabcbcddbbcabdcddadcbccdcbbabbbddbddbcacdccddddadcadaaabaabccacddddcbcdcadcbaad
+bcbbdcbdddcacabdbbcdccdaddcadcddcaabdcaadabc
+ddacacdabadadbbbcccaccdcdcbdcbaaaddbdacabababcdaabdabdabcbddbcccbabcdbbdcdbbbbadcbcbadabaabbaaadbabbdcbca
+bdcabdcccdcdccbddbcbadbbdcdabdaabcbbbbdabbbbcadcdbcdcdbddbcbdcc
+dbaddcababbdccbdbcdcdcddaddcadcaaabcbdcadabad
+cccaccddbddcdaadbccaddcbbaabdadcbcbbdaaab
+bbaaaccdabcbddadddbcaaaabacdbdaabadddcbcaaadabdaabaccbcdbabbdcdbaadacadaacbbdadba
+bbbabaadddcbdbabbdcabadbababadaddbcbcaaaabcdbadbaaabdcaadaabcbbdcbadaacacaccadcaacbabadbb
+aaacdbbcacdbaaddabacacccabddddccadcbbabbbdcbadabdadbaabbdcbbdbbcccbcdcacad
+cccdadacbcaddcbaaadccbcadccdcddaacd
+bdabadcdbdbcadaaadabcacddddcccaadcabddddbaddadbadcbbccadbacabbbcbbadcbadbbabdc
+accabccababaadcdcbdbabbadcdabb
+ccabcadbbdbcdcaaabaacd
+dbbaacdcbbabbdbddbcccabbbcbdbcbaccbacaaadbdcaacbccacabaadadaccabdbddaaadaaabaaadcacadddcdddcaddadaccccc
+bacbdddaadaabbbcaddbdcbcddcaccdacbdacbaacbcdaabdbbbcbababccdbbdcbdccabddcdaac
+badddabdcdbddabcbcaabadaaabbbaaadbbbdcacdadadacccaaccaaaccdadcbdcadcddbaacacdcacbcddbcacdddcccadaccccc
+caddbcabaccbadcaabcbbadbccdbddacdabbbadcddabcaaacdddc
+daccacbadbcddbcbdabadcabaaabbacbaabcacbcabdcacddddcbaacdbdbcbaabcbbaacc
+cdabdabcbbbcdcdadbcdbacddbbcdaaadcdcbcdbc
+cddaddadbdcabcabbdbccbbd
+daccacbababddbbcbcdcbcacabaacaaaacacddacbbaaacbccbddabadcadbbbabbcbaccbbacaabddcabbaabbadcbacdaaabdccddbb
+ccaadccaabbaccabdddabaddbbabbdbcd
+dbaddcdccdabddccbdcdaaaad
+ccdaddcdbdbabacabcabbdadbacbbdbcbbcaddbddadabdcdbdcaddaadcacddaaaacbbdbadac
+cadbcbdadcdaaadacddaacadabddbaabbdcdbbdddccbcadbaacccccaaaaccbccbbaaaabbbacabdbdbcbbccac
+abcbbacabcddbbccbadbbbcbbaacadabccacdbacdbbacdbdcdaaddcbdbdc
+adcacdcacabcaabbaadbabccabccc
+cdaabbabcacbdddbcdadbbbdbcaaaccaababddadccaaddbbccccbacdabaacacddabdccacba
+ddbabbcabcdbabbcabacddddcccbbdcdccccadaaaddbdcbccabccabdcabbdcbddaacadbddcacbbadc
+dacbcaaadddcacbcbaddaabcbdabacbcdabdddcbcbbcaccdcbbdbcabcbbbcbdbbaddbdbcddbbbbcaccccbdcbacdba
+bbbcabdccccbaccbacdbcccaabbcbabadbaccabddccdcbaacdddabcaaacbcdccccddaaaddddacabdbacbdbaca
+adaaabaaaccdddcacdabaddadcdddcdcddcaacddbccbdadcababcdbaabdadaabddaaddabccdaacabbbacdbbbaada
+abddccccddbcdaddbdabaccdbdbdddcbcccabddcbbabdddacadabadaccacaaaadbbbccaacbaaabacaaaaac
+cabdacbbaabbcbadcccbbaccaccdbccdbbbbdcdbaaadaabbddaccaacddabccdababddcaddbac
+baabdaababcaccabddcdbbaadccbccdbcdcbaabcdbbaddddbdbdbaabcadbbbbaaaadab
+abadbccaadbbcbddccadcddbaadaaaccbdbbbddacddbbbdd
+dcbbaaabccdcabcacbdbbdcdccbcaacbbbbcddcd
+bbccbabbdadcdcdcabdbbccaacbdcbaaacbdcdadbcdcadcbadcadabaadcaccbddcddacbbcbaddbcdcdcabcbbbdbbabddcdbdccacbaadb
+aaaacccdbccaaadadadbcaddbbcbccaaadcdbbbaaadaaaabccbaaccdcdbabadbadbcacadcdb
+bccddcdccbbbda
+abbabddbcabbbaacbacabacdbbbbbbcabccdddbcbbbcdcabbdbabacdadccbacadbcdbadcbbcdcbadcaaaccbacccabdcdcaabbbcbaaddd
+caacdccabababdbbbc
+bbabdcaddcaacaaadaacbcadabbacabbbcbbbdaabccccccbbdbcadadcbadcccadabacdaaba
+dbbcdaacddcdacddacabdddccdbbbbacabcdadbabdacbbdcdadacdbdbddaaaabdbaabbdabbabcaaccbbdcddccddaddaacdcdbbdbb
+cccabcacbdddbccccbddbbdadbcacdbaccdbacbd
+cddbdccbcdbacbaccbaccbbccccbacdabddbdabaaabcbdbacbcbdbcbdcbddcbddadcddcadabcbacaacacacbdadbbdb
+acacacbcbdbdcdcabddabcccdcdbaadcbbaddbaaadcdcddbacbcadcbcabbcdccaaba
+abbadbdbddcddabbaabaccdacabbaadaaaacdabcadcacaa
+ccdacbdbbdabacbddddabaabbdaccddaaaddaabaddcccbcbddacabbaacbdddbabdcbbaabcaacdddcaccadbbdbdcac
+cbddddabdabcacabcaaabccadcaccad
+bccbbddaadbaccaabaddcbaadacabbdaabcbcbadccdaccaabbaccdbdbccaccadbbaacaacaacbddbddcaccaaadd
+bddacdcbaddcdbdcbccacdcaaac
+bccdaaccabdbbabadddbcddacbcbcdbcbdabaadadbdbcabadcdbcbaddbdaacbbdcbd
+dabadabaddcdcbacbadcbbdbccdcdbadcbbcabacbcddcbcdaacdacadbdabcaadcacaddbadc
+ddbadddcdaaaaaaacadbcccdbdcabddacdccbab
+cccaaddcbdabcaccbcabacdddddbabbbacbabdcddcbbcccbdbccabbddadcdaacbaccccaadaaaacdbadcdbaadbcddcccaacdcbd
+acadacbdbaccbdbbcaaaadcccccbdbdcaabaaaabbdcbabdabdaddbcccbdbbaadbdaabbdadcbdbdacbdcdcdaabbccdcbaccaccac
+accccbccbab
+accdabbdcaadbccccddbdcdaaadaccccbcddaddddcdbdbabaacbbadcbcaaadcbbdc
+cdbdacabccadaccbcbcadbbcaaddaadcbdbdaccbbaaddcbabdacccd
+adddcbcbcddcbbabbabbaabadcdadbc
+bcddbbdabddcdbbddbabddada
+dacbdbaaabbdbacbbdcdccacd
+daaacbabaabadbcbbcdbbcdaacdaadbdcdddcdbbbdcaba
+bbdcdcbdacc
+acddbbaaacaccbdcbbbcbdacaaaccdbdcbbbaaaccbbabcccaabdaa
+dcdbddbbacbbcbacaddcbabcacadaccadadddbccacabbdadbbdddbc
+ccddabbdbbccdaddcbcccbdadbadaac
+bdbbbddbacbbbccdcbdddcbacdabcaaabbccdbdcabacbacbdbbdaddccbdbadcacdbdcbabbbcadbbaccccbbda
+ccdacadaacbdadcdabcadbaaabcbddcbacbbdcbdcacaabcdabbcdaadaccbdbdabdbcdbbdd
+cbaccbddaddbdadcdccdabaddcacbabcdacaddddaaabacccabbbbadabbccddadacaaadcddabcddcadaaaabdca
+cdbcaabaacdaabbbcacbdabbadbdaacdcbccbbcbaacbbad
+cbaacddcadbbbaababadcdacadbacdbbcdaadddbabcbbddcaddcbbcccaaadccdccbadbbbacbaadaadaccdcbbaa
+adabdddbadbcadbcdbdabcccbdccaaadcccbbaacdacccbdcdcccdcdddddbddbbcbbadccbcacdbddcdbdcccaaacdcba
+bacbbcddbb
+ccacbcbcacbcabcabdcbcdabaabcbdbcadcd
+ccacbcdcbccbddbacccddcbbadbdcdbadbacbbdadbbddabdacaaaddcdbaadaadbdbdaadccccdccbdadaacdbccabcbdabbcbadaddabdd
+abacbcbbcddabbbcbbbbbdacbdacdcbbaaddccdbcadddabdcbadbbdbadabbbaccabacbaabdcaabbbccdcabddadbadcdcdadaa
+acdbdcaddadbdabddbbacaa
+ccbadabccbbcbabacdcbdcbadabdcadcbddaabbdddbdcddadaabdcbdacdabbdaddbbcb
+bcdcbccabdbdbdabdddaddaabdacadbddbdddbbddacbbcbdbcdacdabcdcddbdbdaccbbddccadddbabadbddbbbcbdddbcaacbbad
+dbbbacbbdbdccaadcdcacdccbaabbaaacdabacbbcadbbdbcaaccbcb
+dccaccbbcdcaadadcbdadcadbbabddbddadbdcccdcbbbcaccbababdabbabcbddbcbabdcaacbcbddaacdbcbaddddcacdcaddcaaa
+daacadccadadbaabcbbddccbaddcabdcacababddbcdaccacbdbbdbcdabddccacdabacdababc
+dbcdbbbadaaabbaadcdcdbabbdbcbcbcbddddbabaacdbcacadadacddddaac
+bbdbbbbddaccabbbadcdadabbbdbcdbacbcbbbbccbcacdcbcbbaacacdadabacd
+dacdcadadadabcbbddacccbacbdcbcbcabadbbabdbcbaadaaadbcddcacabbabbaabaab
+caaadcabadadbabccccadbbddbbbcdbddabdadbdabc
+bdadbccdcdaacccaacbcdcdbcbddcdbbbaaddaabbbdaddbccddbddcbddaacbbacdbacbdcccdbbbabbcdcadbbaadcdadaaddcdbbbacca
+bbddccddbbaadcadadbddbdbcacdacdbcdacacacdccdadddccdaabcbdabdddbdcdaaddbabaabbcbdcadcdccdacddbdabdc
+cdcbadcaacbaababddbaabdcbaacbc
+aacaaddaaacdbabaaaaaddbdaddadcdbbbccaddddad
+ddabacbacbccdaacbdabccdaabbbbdaaaadacbacadbdddaaacdddbabcbccadbcdacc
+caccdccabcbbbbcadccbccdbccbccbabdacacdaabcdcaabcdadbdaddbbcabcbbbddbcccaaabcadcdadbabcd
+babcabadcadaacbaddbaddcacbcacbbacbadcdcacdbbaaaddcddddccdbbd
+dbacbaacaadddaadbcccdbbbbca
+dddadcbadbcdacccdaaabddabdcacdbdaaacdadbaadcabacccbcbaa
+cbccbaddbacdcdcdbcad
+dbbbadabacddaccbcdadbabbdccaddcacbbadbacbaccadccdaadbcaaabdcdccadacacdcabbcbaacd
+dcbccdcbbcdbdacbdabdbaacdbdbddbcdddabccc
+aabbaabcdaaabcdcbdacbddbbaadcaddadaacadabddabaacadcdbacbcbdbbbacddacabadcadbdabcbaaabbbdcdadbdccabacacdcabb
+cabdaccadcbbadabddbadddaccccdddaccbbcccbdacdbaaddbbdcdabacbcbacdbbdcdcbcadadbadadcdabbbcaa
+aadabdabcaaadadccddcaadcbacdacdddbbdcbcadbdcbcbccbcdaaddccdaaccacd
+ccdbaadccb
+cdadbdaaabadbdcdddaaabdadbabcddaabadacdbcdbdcbcabbdcbaaaddddbabcadbaaadabdcddc
+cbbdadddbcadbaccdcabadccbcdbbacdbbcbabccccadcddacbbaabdcbc
+baadbadbdaddcbacdaaabbabbddcacdcdadaacbbdbccdadbbdbdbcbacdccbbbbccbdbbbabccdddcdacdacabdabdabaab
+cccdccadbbdacaacacdcccabcccabaaccbbdadacaabbdacaadbddbccbdcabcbaaddaadcaddabbcdbadcadbcacdaaadbddca
+acdbbaddbabcddbdabbcdbdbcbcbadcdbdbcddcbccbdaaaaa
+cdaadacdacdadccccdadadcbbdcbcbdabbbcbcbdabcbaabdbccaadddacabccbdccbabccbdaddbbccccab
+dddaacaabadbcaaadbdabdadbcdccacbbabccacbbcaddbacdbdccbadbdaacccdbbdadbcddacddb
+dddbbdcaaccacccabcddbaaabacabcccaccdaabdbbaacbccdaacaacccdaadbdcdcddbadcacabccacdadcdacabbbdacbcdac
+adbabcccdcbcacccbcbabaabadbdccbcdadcdabbcbcb
+daabcdacdbcdadcddabccdbcbcdbdcbadaacbccabacccbbadaddcbddaadbccabbaccaacdbb
+ccacddcaabdbaaccbcdccacbcbcbcddccabdcabbbc
+dbdaaaccacbabcadacdbcddccbabacddbbbd
+cbdadccdcdaccbdcaadbcbdcdaddbccbabadb
+bbccbbdacbcacbdadacaabacbaacacdadbcabbcbddcccc
+accaabcbcdbdbbcaccaacbbacbabbbaadadbacddc
+dbbbbaccaaabbaaacbdcbdaacdcbcaaadabdacdabdcdbbdbbccdcdcbcaaadadbddbbccdabcadcbaccccbc
+bccdbdcdccdabcaddaccbcab
+cddadbbcaadddbbddaacabccaccacca
+bdcbbdaaddaddbddbccddcadacddddddacccddbccdcdbcc
+aacabcaaaddbaaacacbacabdcdbddbccccacccbcbbcbcbabbbaadaaacbddcdaabaacaddcdbbccc
+caadbdbdbdababcaddcbccadcdaaadbabacbcbbaadabbbcb
+baaababadbacdccdadccbcddbcdaaaadcdbcabacbdcbdcdbacacabcdddcbccbddbacbbcadddcacddaab
+ddbbbbddddcbbcbbcabadcbaaacadabadbbdabcbdabacd
+adcdcbcccdaacbcdddbbb
+dddaacbabdcaacbbdbdbad
+ccadbccddacdaadbdaabddaadacaabacacbbbdbbcccabadbdcdbaccddbdacdcaaadcccdcaababcaacdbdaadcbdbca
+dbcadbdcabaaaccbcbcbacabaddcddcadbbcbcabacdbadcaabbbcdadbdcacdcbacacccadacc
+daddbcdbda
+adabdbacdbcccdaddabcaabbdbabacbbbbdccdbbbdaccaadacdcabbbbbaddadcd
+ccdbacbdcbbcdcdadbbaacbacdacacaadcdcbbabcdbacbbddaacddadbdddbadbadddcccadddaadddbcbcc
+bbdaddbbbdcbadbcabadcdbcbbbabbacdacbadddcdccdacaacddaadbdbdaaddcdcabdbddaaaabc
+dbabddabbddaabadacabaaacbbdcdacacabcacabababacddbaaacdcb
+aadbcbbcbdbdbdccbaabcdbaabbadabdddbabdcbaccaaddadcbcacbbdabbbacbbabaaaddbacbcbdbcaacdcbdcdcbbcaccdacccbdbacd
+cabbdcccdbcaccaaadcddacbdbb
+adcabcbddcdaadbbadcbdaaddbba
+ddcdacacbdddcbdbaccadcbcddaabbcbbaaabcbcddacaadcbaaba
+daaacdcadcb
+acacacddcacbdccdcdb
+aaaaccdcbdab
+dadccddcbaa
+dcccaccabddcdccbaacacbdddbadadabdcabbaaddcbdcddbacadcddabbdaacddb
+bdccdababcabdaaaabbccaaaaaaabdbabcabc
+bcaddbbdabbcccaddaccacbdbdcbbadbbbcbdbcccaabbcbdcdaabbaabdacbccbcbdcabcccbcdcaaabaddbaaccdadaaaadbdd
+ddacabaddbdddcdddadbbddbdaaccddbaaddccbaccdbaccccaabdaacaccccabdbcbccbbcdccadbdaaadcbadcaacdcdcacddbdb
+bbcdacbbaaddbcdacdcbdacadcbdccddddadcbcbaacaccd
+abcddcddbbcaacabbdcbacccabbdabaccdcdcdaccdccabccbadbccbcdaaaabdabadaadcc
+bcdbdadadadacdbaacbaaacabcbcaddabbcccccadaacdcdbacaaabadba
+cbbbadaccacbdadcaabdddbdcdaabdacdcbcccbbabaacbdcccbdbddcac
+daabdaaccdbcdaccadabbdaabbadabdbd
+dbacbacaddbcdcccbbaabdccbacacdccaccdaddaddcbaabacadcabaddacacddddccdaabcacbadabdadaacbcccabdaaa
+cacacadbdcdddbbbbabbadbbbcbcaddaabadddbdbbdbcccdcaabdabacaddbcbd
+babcdcbbddabacdccbbbcbccccbbdcaaddcdccdbadacdddcbbcbccbbdcddabbaaaacdaddbdbda
+accacaddcbabdacaaccbdbabcadbdbdcbbdbbbcaaaabbccadcdbacba
+dbabccbabcdddcabdbbccddacadacacbc
+34 7
+cddbcbbbadcdccadbdbabdcccbbddccbccdcba
+dccdacbbcddcaabbdacdbddccdcdccaaaadb
+bdcacdbaddbdddbcdadcbbcdacadddaadacabcdcdadd
+ccdadabdcaaddcacccabdcdbcbbdbdddbcccbdbad
+dbbaadbabcbcdacaddbcbdacbcacbdcccdabcbbbdbabbaba
+adcaaaddadabdabbadacdddbadabcdadaaccbcdbdbbcccaddcdddcbacabccbaccbbddacddbdbbaccbbaacdacdcbbccdabad
+dccdaaadcdbaacbaabbdaadadbddccbbdadabdbdbaabacdddacbddcbccbdddabbcbcddcbabadbcdacbabbadccacdccabdbcbdbccaccbd
+cbadddcdabbcbdacabcadcbadacadbccbcbbddbcabccdabbdcbcadbbdbbda
+dbbbdbbacbbcdcbbcccbdcaabbdcc
+dbcdbbcdaccdadcacbdacaccabbbabcdccbccaadd
+cdabaddccbcdcdbaaabbcccadcadabcaadaddabddcdddbadcdadccdadbccabdcdadaddccaacbadcaddbdccdba
+caacdabdbdbabcbcbabddcdccbbbcdaacadbbdaaabdccaacdddadbccaaaabddadcbaacbdbccbadadabaddacddabbb
+abacaccccadacbcbcaddcdddbaacdc
+adbcacaadaaacbbccbdbcdddbbacadcbdb
+bbbcbabbbbdcdacbdabcdaadbbdbdccbbbcabbaddddcacbbdcaacdddac
+badacabcabdccaabadcadbbadabccabadbabdbaabacdadbaccabbaadbacddadbdcccbbacba
+dabcaacabbbdabbdcbdbbcdcddcabbdabacdbbcdacdcbbdcadacbbcbababdcabcbcacdbcbbbdaadaddbadacdacddaba
+aacdbccdbbadbdacddaaddcdaaacbabcbdababcdddbadaadbdbbbcbbbdccbddccddddbbdbbbbcbadbbbadabadcbaaddcddacdaa
+adabdaaadbcbaaabaccddbbcccbdccccccdcbdbabdbddacddcbabbdddacbbcdbbbcbadabc
+bbaddacbcdcddcdbadccacdbbaddcacbbdbdabddbddadadbddbad
+cdbbbcdabdcadcbadaaacaadacaddba
+ccdcdacabbbcdaaccdacadabbdbacbcadaacddcdb
+adaaaaccbbdaadabaabbddbdbaadbdbaaddacccaddbddabccacbdacbcc
+cbacdbbdbddadccbbcadcbcdbaadbcccbbcdcddbadacdadbbb
+caadaccbdadadccdacccccdcddbcddcacbabddaccdaacdcabccbbdbdcadabbdaacbccbbdbbccccddccddbddcaacabd
+acbbadbada
+caaaadcaaaccadbacabbddbcaddcbccaadcbbddacdaacacacbdaccaabaabcaaaddcdbdabcdaaddb
+cadbbacddcddddcbdabbddbbababcacadacdbbda
+bdabddabacccbcbbcbabaaddbbdccacabcaddcaccddccadbbbddcbabdacbbdbbadcabbd
+acdacccaadbacccdcbccaddabcbbcbaaddbacccbdbbcbaaacdbbaccdbddcaadbbdabcbacbddadabbddccbadbabaabdccddcbbbaca
+aacddbcdaddddddadcbdcdabdabbdaadaaabddaccdbadcdaddadabbcaabcccdabdacbcbaa
+aaaabdaccaacdbcccbddbaaccabccbbabbaabbaadbcaaccdacbad
+caacdcbccabcdacbdcabdaacbaaaccccccbbcbcbcbdbbcbcdbddbcac
+ccbbddbacbbdadccbbbbacaaaadaaabddbcc
+148 30
+dabbbccdcaadabbbcabcddabaa
+dcdcbcdadcabbdcbdbb
+acdacbbbcadddccbdbbbabcdbcadaabdbadbcdaddabacbbabbbadcbdcabbd
+bcddacbcbadcacbdcbabadabdcadadaddbdbcabdbdaadddcbbadadcdcabcaadcdbbbbbcbbdccccabc
+cbbdbdbbadaaadbababdcadcaaabcbadacbacab
+bcddbcbcbdabcabcddbaacadbaaddaddcaaaabcbaaa
+bccbbccdcccabadadddadcdbccdddcdacbcbdbaabadbadddddcbaacaccaabbdccbbdabbbcabdddbabbcdb
+cccbacdcaddca
+dbacddbcdd
+aadcaadcbcadbbcbdcccdcaaabbbcabcdabacddacabbacccddbcdaacd
+cccbaddacbcbcbacccdcadddadbdcbbcabcadccbddbdcbcacbdbccdbcaacbacdadccaabadbdaddabd
+ddbaaccabbdaaddbbcddbdcacdcaabbdabaaccacaabaddbbbbbadbb
+bdbdaddaadddcaacdbddbabcbacbcaccbcdadbcbcccadbdacbbbcbaabbcabdc
+bcabddacdbbdabccdacacdcbdd
+adcdddddbca
+cbccaddaadadbababbdbabbacabdcadbddaadaacbcaacbcacbbadcdbcd
+baabddaabcbaaabcdaccdaabcbadabacacbdbcdbcbdaccccdddccbdcdacdaaaccaaadcddadddacaabaacdabdaadbbcbdbbadba
+dcdacdbdbbddaaacdbadcbdbcdaabdaccbdbabcbcbaaacbbdddbaaccdbbbccbd
+cbccbdbdbacadcbcddbdacddacb
+cbbaddcabdcccbbacbcabcbcabcabbacbdababbdd
+adcababadbbaaaddbcbaacddbbdadddacca
+dcaadbbdbbabbcdabbadabbcaaaccbacabcdbbccbcbd
+aadabaaabbbbcccac
+cabbbdbbbbd
+cccaccbccdadbddbabdababbbaadbcccbabcdccbaadcc
+acdbbdccacadadadadadbbcdcbdabcaaccbabbdcdbbbaabcb
+dbcbdcaaccbbdcbbcbccbaaddadaaacbbabdcabcdbccccdbacdbabacccacabdbbdbaabcadccdbcccdcaddabaad
+dbcbdbcccdaddd
+ddbdbccbcbacacacaacbadbaccccaddcddacdddccbdacabbbdbdccbbbbacccadad
+cacdddaddbbbdadcccaadbddbccadd
+cbcdacddccabbbbdc
+bdcdaabdaacdbbbaabacdbadcaadcbadbdabaadcacbbcbdcccdaadcbccdbbcacdbbdadbbbadaddbcddbcccadbacdbdcbcb
+dcdbbacddcbdbbdcbaabbcbdccd
+aaaaaadabacdcbdddcbcdcccabdbdcbccaccbbcbcbcacccaccbbbbdbbdbbaddbaadacddbabcbcbacdbdaaadacbacccdacaaadadd
+abcccddcbabdaaabadbdadcacacddac
+aaadcdabbcbcaaacbbabadabcdaccdadb
+cbbbaaacbbaddaabbdddbbcc
+abaaabcaddcddacbdcaaddcbccbdaaa
+acbccadbdbadbdbccabcbccbdcccbcdadcaaadbabbbacadbbbcacddadddaabcddbaadcadabaabacadaddcadbcbcabcaaadcdaadbc
+dccbdbaabdcbdbdadababdcdccdcdbcabdbaddcc
+bbcdcdbddcacbcabdddcdcdbcaacdabcabaddbadbaaaadadcadddcbdadab
+cbaddacdacbbcbaddabdb
+cdabbcdadbadacdcaaa
+bddbdccdccddaacbabbcadcaaabdabbcabbaaadddccddaacacdacabadcaaaacdbaabaccbcdbcca
+ccaadcddcdcaba
+aabaabbcaadddaddbcdcbcbcbbbdacdcbcdbbadcbbbadbadaaabacccdbaacdacdaacbbcabdacaaccababddbddacccacccbcdaccbac
+adcdcbabababdcdcadadadccbdbabcbcddbbdaadaabbddabd
+ddabcccdbcdbbcdddcacdcbabcdbaacabbacbaddaccabbaabcbadbdcaabac
+dcdcacdcadbddbddbaacdbacbcaaacdababdacdcbdbacbcabbaabcaaddbcaaabbdbcbdccbaadacbccbdcacadacbbcddaadbccba
+cbacdababbbccbbdbdcabdabc
+ccaaabdbdbdaaacdabaaccdcdbdcbcccccdcadbdcacadbdcadcddcbadaddbcadbdcbbcbbabbaacadccdccbacbacbdc
+cadcdabcabdbddbbcaaababcccdcbbdaddaadcacabcccabbacdccdbabbacbab
+bcdcabaacddcacadaacbcaddcadddddcbaddbcdc
+dcaabbbcddbadaabbdabbddbadccdcbbcbaacadcacaaccaabbdccbdbaabdcaaccdaaacbbdccdacadacdc
+bdddcccbcbabcdadccaaacdccbacdddbcd
+dcbddbcddabbaddaabdccaaccdbddbbbacddcdbbbcbaadbdacdc
+bbdbcabcacdbcccbdcdccdaddacbabbaadcd
+baacbbaacbddacacdddcdbdbccdcacbdcbdcdbcadcbdadcbbccacbcabdcbcddbadbabcac
+abdacbdbabbdaadccddc
+bcabbdcaadacddcbdddbaaaddaabbadbdacbcaabcaddddabcadbdbcbdbdbbcdcdaabaccbdadacbdbdbcddacbb
+dcbbbbccabdbdaadabcdcbcdcadaddcddcaaaccaadccacaacbabcbabbddbdacbdcdabbbddaacbcadcdbdcdddaabadd
+ccddbdbdbacadbcaddbadcccbbbcacdaaaaaacbbcbabadcabaddacdcd
+ccbaaadbcdcccdadbacccbcbbbbaaababbcaaaaadbbddcadacddcdcbbadbcadcadbccbabdadabbabb
+abdcdcdadbdcbacbadccaaddbbdadadaddbbccddaaadcbbcbacacbaccccc
+adaacadcccddbaabadbabbacdddcddcbaadcaaaacdcbbcbcbcbaacdccddbdaddcadbbababcacddcaa
+dabbdcbabdbcaadabdacbddcacbaaccbddaabccbabaccccbadbdabdbaadcaaccbddaacabcbcccbbdadbcdacda
+dcacdbaddbadccaddbadcaccbddabddadaadccabbcbdbbbbcddcbddaddcdbcdacab
+bcdbbadaaddbabbddaacabcbcbcdbaccbcccbbbaaaccadbcbdaacadaddacbbbaaaadaddcabda
+acbdacadcacacdbacacbddadbccdddaabbddcbcabcbaaacdbcaadcdcc
+bdadcbdddbdbbdaddcbbdaababbbccbbcdbaccaabddabccbbddaddbbbcbacbdd
+ccaaddcbbdabccbbbcacdbcaccabbdbbcbabbabddcdacacbaaaaaaaddaacadc
+dacccaddcaaaccbcbbcdccbcdddddbbdbdcbbacdbaacabbccdcdbcdaacdcacaaabbbbbba
+acbbcadadcbbbbcaabddbcbdcacbcdaddbbddcd
+bdadbcddbacddacdadbbccdbcbbdcbbdcaaaadddcbdcdddbacbddaddadbcddcddabcaabbaddbbdbddbcddcbddadda
+adbbabccccdcadcdabcdaacccddcaba
+cbbdcddcacbbaacbabaccacccbbacacbaddaabacdbdacadabbdacabcdbaccacadaacdbcabcabaddacbbbbbdcbbaccbbacabadcdcac
+bcdbcdbcdbaaccabccddcadacbcbaddddaccdccabadbddbaadabcdaba
+dbcddbdabcabcddabccdaacdcabcaabadacdbbcd
+ccddaaccadaaddaacb
+aaddadcaaadadadccbadadacaabddacdccbbbcbcdbccdbabbdabaaaddadddddbbcdbdbdaaddbdbbdabbcccabcbbddabcdbabdbbd
+bbcbcbaccbdcdddccddcbbda
+acbcbdccadbabdaccbadacaabdaadaaaaddbaaccaddcabaaacccdbbdccbddabaacbdccbadccccd
+acdcddacadaccdbbcadabacadbbcdbcacdbabadccbabdabbabbcbbddabbbabdbdaacdbbcbbbadaacddcaaabdcadbddbaacdc
+caddbbbdbbbdbbbbdbbbbccaaadbcdccdcdbbbcbbccaaaaacdcdbadbacaccdaaadbdcccaaccddadddabdcacdbbddc
+dbddddcdddccdcddacdbaabbccddbacaabbdbcbadaacc
+cbcaacbbdacadabddcdadaaabddcdacacdccaaadbaabbabadbddbddcbbdacccbbccbbbacabbdccbbddadcabaabdddacabaadcdbccbc
+aacbcbbbdcdbadcabdaccbbbbdbdaadbbdbcbcbaadddcdabadaaccaddbaabcaabcabdcdacabb
+ddcdaaadacbcbcbddbdbcccdbcbddbbddaadccddaaabbd
+ddacdabdcdcdcdaccbcaaadadacbcacdddbbc
+bcddabaabddbdbbcdbccdaabbdacaadddaadcccddabc
+aaabbdacabdcaacdcbbacabdbdbabbbcdbddaccccacdbbacdcbacbaacdacabcdcbaadccabacabbcb
+dbcddbacbbca
+addccacdaadabdacabbddcabadbbdbacdbbcbbddcccba
+abdddbcbcabbddcadbddbabdcdacabadcdbdccabacacaacaacacccabcbccacbdabacbcdaaacbcabbcabcad
+aacdbabcbcbddbdaabacdaabdaaccadddaccddaacddddddbbacacbadabddb
+dbbdabbdccbacdaabddbacacdacdacdbbdbcdbdabaddccadbaaabdacdbcda
+dcdbaacdbcdbbbdadbcabdacdacdccacdabaccbcaabddccacbddbacadadd
+ddcabbddcbbcdcabcddaadcbabaadcacdcbbbccbbadcabacbbadddbabcbaaadccbaccdcaacadaaadaccccdbaccdabcdccdcbc
+cbcdddacbacadbab
+daacadbadaababbddcaabcccbccdbbacacccddcaacddcdababbdaabacdaaaabcacaaadacb
+bdbbdccddccabcbadcbdcdbcadabdabadababdacabbcbd
+abadccbadabacabcdcdaaaddcdaabdbbbbdcadabadbdabbccabbbbbaccbcbcccbcdbbcddacddcdc
+adbccaddbdbbadccccccdcbbcaddabddcbccababdabcdaa
+bbcacbaaaddcacdbbbaadccbaddddddbabbdbabbaadbcaababcbdbcaabcbcabaabdbaaadbbbcbabbdcdadbbbcdbaabacbddbabbccbaaa
+bbdbaabadcabbbaabaabdcb
+bbdadabdbdbaacdacdbdbddaddbbddcbdcabcaacdcbadbadadddcbbbabdcbaaadcdcabbcaccdbcbcbaadbcaccadcdcdacaaacc
+aacadcbbacaddddabdbaacadcbabcbddcbbbaacbbbadd
+accbddbcccdcbbadcddbbccacdcbbdddbcdaaaddaadabdb
+dabbccdbacbbdbdddbdddbbaaacccacabaacdbda
+dadadaccdbaddadabcbbabbddadbbbbcdcadbacacdccdbdcbcacbbcdacbdccddbbbbbcdcbddadbdccbb
+cbdbbcbaaabbcbbcccbbadaacbaddbabddcacccabcdcadcbbcdddccbacdcadca
+ccbbcadbcabdcbdbaaabbcdcabbacacaacbdaaaaabddcbcbbaacaaccddcaaacac
+bdaabddbdcbcabbccadaaaddcacaabcbacbaddadbababbdabcbbaaddd
+acadcabadbcccadbdbbacbacaaacaaacdddcabbbcbcdbcdbddbbacddcaaac
+dadcbdbbddadabaddaacaadcdbabaaadcddaabbaba
+dbddababaccadabaaccbdadbdbaaaabdabccbccaadcbbadadacccbdddababaabdccacabdccbadcbcdcccbdacbbdabcbddbbabaaabab
+dbbabaadaaddcbcaacaaacccdbcbbdbbbbacbcabcdcadbcdd
+ccdaaadcdaaddcccaccccbaaacdaabd
+adaaddaacadadcda
+cabdaacdcbacdbcabdcabcddbcbcccbbbcbb
+bcdbdcdbbadaaabaccddacdabcaddbcaddaaaccbbabdbccdaacad
+abaccdabccccdabaacbb
+bcdccadbcabcadabccbbdabdadccacdabacacdabbaabac
+aaccabdbdabacadaaad
+abbcbbdbacbcbca
+dbaacabaddbdabcddccaabcabcbacadbcacccbdcccdbcbdaaaadaaccccadcbc
+cbccdddccabbdbcdccaddabddddddababcbbaabcddbdcbcdbbdbccaaabdddadcbcdcdadcccadcbcbdcdaddbadbbccbcbdc
+cadbdbccbcdddbaacacccbdbababcddcabcaaadabcaabbdabaacacbccddaaaadababcadccabccbcbdbcacbbacdadcadccabdb
+dabdcbbcbbdbdb
+ddccccbaaddabdccacabccddcabcdabdccccacddbccaabbcadcacc
+babbaadbcbbddcaddaabbacadbbbdcbdcdbccddacbaadccddbccadbcdbcbadabcacddddbbcdbcaaabdcadcadbccaaadba
+cccdcdadbcabbbaacbcddbcccbdddcccbbdcbdddddcadcacaaacbcdbbbbaabbaddcbccaacccbbddabbcaaabbccdbbccbbca
+cbcbccbddccaabdcbaacdccdadddbcccdbcaccdddcdbcdacccbbdacacabaaadbbcddbdabbadbadbcdddbbab
+bacbdcbaddddacbbaddbaabacbabbbdabdba
+dbcdbadabaacacaaccacbbbabcccbbacabaccbcbddcddaaacaaadbdddacbddddaaabcdabdcdbcdcbaccdcccdacccdbbca
+cccddbacdcadb
+ccbbcadcbbbaddcdccbbacbdbcdcdaabcbbcbaaddbaacdadaaabcadccbcdd
+acdacacccdcbccddbbbbdddadbbaccacacddaadcbaaacdaddbdccbbdaddbccbbbaccbccdddbbcadcdcababbcdabbaaa
+ddddbccadbbdacabbbdadabbdcdcdd
+ccccdabdadbcdadbacaddabbbbdccdabacdaabcbaaaacadddbcbbccacddaabaabbbbdcbadadbaa
+daaabccddbacbaddadcdcbadcdacdbadcbbcddcbaaabbbdacbadccabdadacbabacabcabdcbcaccdcccacdbadcbbdccc
+cbbccdcbbcabbddaccabbdabbdcccdcabacaabbaaacaadcaabcddaacaaabdbbddcbbabcabbbdcdbbdddabdccb
+abcacdacccaaacbcbadadadcbddcbcadaccdaccadcacdddbcaaddcabadbbcabdbccacccaccdabdbddddddcaadbcacaaddddcddbad
+bbdddaddacaabbaabbaccdadccdacaadbcccacdbcdadcbdbddccdcccdccbabbcbcaccbdac
+aabcbbcdddaadacccbcabcddbdcccddbcbbaddcbbadddcbdcbccabbdcabbcaa
+baccbcbdbcadcbaaccbaaddbdadbbad
+cdbddaaccdaddbddcccadbabcacacadabbbcddbabbcdacacbbdaabbaaaaddacaabccabbdbbdacaacbbddabaadbcbbbcccbdcdcdd
+adcbbbddadcdadbbbbbababaddad
+61 42
+baacacdcbacacddbbdabbbcabcccaddddcbaccaadabcabcdb
+dcbcadcadacbdbaaabbdbccbcdccdbdcbad
+badbddabacbacdbbaacadbcadbcacbacacdabbbcccccbbbacddbccacadbdcdcaccdabcacabdbcaacbcbcbbcabacaa
+addbdadccbbdbbdcbbbbbacadcdcbccdbcabcacddbaacdadbaddcaabcbddccabbbcaadcaadcbbbaabadccbcbcdaadadcdbba
+acdaaabddbdcbbcbcbcdbbadbcdabaccbb
+cdaaadbaaacdcccdabaaadcacabccbbabbcacdbdbdddadabdabbcbcdbdcabdacddd
+dadbbccbcbbcbcdcddbdccabaccbbbaabdbbccbabacdcaacaabbccaadcadcacdcdccbcbbcdddddbbdbbcacaacadcccaddbacbbcaa
+dcddcabcccabddddcdadabdbbdcdcabddadbcdadbdbccdb
+dcccdacbbcadaaadbaad
+abaaddccdddcbaadbdcadacbabbacabdacddccdabadddbdabbbdaadbdaadcacdabacdcdddbbcca
+bdadaddbccccaadbbadaaccccbaccccaabdddccdbbaaadbaacabddcbcdadcbbadccbcddcdcbdaaddbcabdbc
+dabdbdaaaabddbbbdaaddabbcccabbbccddcbccbacdabdcdacbdccdbddcdacbdbcacaabdbcacbcbcdabcbdbdadddaddcbccdcacdbdb
+dddacabadbbccadabbaadaabbcdabaaaddabdddbdcdccaccbdadbaabaaddbbacbbacabbccdcdbcadabaaddaaabbcbcaccaa
+bbbaabbadadcbccaabbabcbccbdbdbadbcbabdcccddcaaddadddbacddcbcbabdaabcdbdbaddbbbccadcbacdccbcdacacbc
+dadcdbbbbaacddbdbadbdadcaabacbcbdacadadcadadcadbdabbadaaadcdcacdadcbbcaabcccaacaacaabcbccdbcdaddcdaabbb
+ddddbaddbcccbccdabbbacbadcbbadcccadbddacdbdacabcbcdcccda
+dbacdabcdbdddbbcaacdccdabcdbccbcdbbbcdccbdddaacabccbadcadbcbbdcadabcabbdddcbccddababdaacbccdcadabbbbbddc
+bbddcadaaaababbbadcdddbcadcdbcdabddaadaaadcacbcdabbdcbaacbcaddbcbbaccaadaccadbdacaaaddacabcddcbbbbda
+bacddadbddaccadbdaddaaccbdbdbdcdaabacddccaabbcbddccadcbaacccbdddcd
+ddbbcacdbdddcccddcbaddbad
+aaddaabacdabaaabdcdccababbdbbccacabcdaaddcbdcb
+bcbcaabaadbaccccbdadadaaccbccdaadccaacadacdadaaddaacabbacadcddbcabaabdddbbdddabaadcbccd
+ddcbbbcdcbdcbdbddbcddcbdbcdacddcadaacdcddaddadcddaabcdaccdbcabaadcbdcabb
+bbbcadcaaadbdbbadcdbdbcacbcacbaccdad
+bbbcacdcacadcddcbbddbddbcdaaabdaadacabc
+abacadbdadddccbcabcdbcadccbaaddaaadabad
+bcdcbbcbbdabdbcbcddbbccdbcbcaacbcdcdcdbadbdabddbaababacadddacaacbcaabbcaccdcacbbdc
+abcccdcadbbcabaacabcbcdacdacbbbdcdaadcbcdbddbdbcbbacadbdbbdaacccdbaabbcdadbcabcabaabbaccdbbddacdccdabcbc
+dccccaddbaccabdddadbdddacaadcbdbbbcaadcaaaddcbabdbdadcbaccccbdabbbcabaadcbbbbabddadbdcbdbaabcbdab
+bcbbcacddadccabcddbaadbcbcdbbdbdbabacddbdcbacdabdbcacccad
+aacbbdbdcbdbdbcaddcccbbbdacabacbaacbdacaadabcdcdbbddcaddaccdbaccaa
+bbaaddbacadbdadbdcccbaccbbaccbcabbdcddbbccdabccddbdbdabcbcdbcdc
+cbdddbaaacdadbdbbaabcbcbadcdabbbccadcdcbdbdcadcacbacbabacadbbbcbbdcadbcdbcabbb
+baacdbdbbcacdcbbadabcdcccbbbddcbbccadaabcdaadabcdccacbbaaabdbbdadcacbbcabcbbddbccbbbacbdbbbadadddda
+ddcacccadbcdbcbbdadbabcabccdccbcdabbadbdadaaccccdabbdadcacbcbdbdbaaabdbbadbbdddddbadc
+ccdcbdaadacdbdcabcdbcadacbdbccab
+acababcbcbcbcbbdbdc
+aaccddbbadadbbcbcaacdbdaacddddcbcbacbdcdbccaa
+acccadbbaaacacbbccbdcbdbbdbcbcdbccaacaaadcdccabccbbbbbddacbadabcabcadc
+bdadcdbbaddbabad
+bdaadaaabdddccdbcbadddaddaaabcccdaccacaababcbbabcbbddbccdddaadccdbdddaaabacccddbcacadddddcdcadadbccbbaacb
+abccbbcbcabaabdbbbaaadbdbccc
+abacdaabcdcdbbdbdadbcbadaabacdaaccddcabcadbccaddbdccdaccaaddccbbadbbddadcbbcababddcccbbdbccdbaddcdccabacc
+dadddacaacbcacdcddabccaddbdcbaaaacbacdbbdadcacdcbbcdadaccdddaaaabb
+accdbbadbbccaadacdbcaaccbacaccdbbdcaccacbbb
+aadcacaacdaccdbcddccbcbbccdabbcddacadccddabdabccdcaddbbadbacdabdbacdaadcdaddaaabdcbbcdb
+cdaabddcbdaccaccddcabdadcdacdcaadacacdaaaccdabcdbdadbaadbdbdacbbcdbacdcdcacbbcdcaadbdccabdadaacdbb
+acbdcadddacababdbdacaddbadbddaddcbbaaaaadcaacbaadccaaabacbbdaacdaad
+dcadcacaaddacbcccc
+ddbadacddabbcadddacccbadcdcbdcdacabbdaabbbdacdcd
+cabdadbddadbbcdaabbcbabcaabdadcbaadbdabacccadccdacbaaaddbddaadbbaadaadbaabaacdbbbdbdcaddccbdbbacbaa
+badbacddcdbddcacdadcddbdcabdacbbdaabaddbaabaabdcbcddbcccdcb
+dcbacdccbdbbbdbabcabdabacabddcbadcddbbabcbaabcccdbcbabbdaaadacbcdddbcabdaaddadddabacbbccdadcaacbcdc
+daabcbbbdddcabbbcbddbcdacdccccbacabddcadc
+caacbcbdccadaadbaddcbbacdcaacb
+dadbabcdbcddaabcbdcddbccbbcbdbddabadbcccddbacacbbcbababc
+babaaaabdbbabcbdadbaadbcbbbdbcdbcddcadbbaccbbcbab
+dcbabcbccbabdbbcccbddabc
+dcbdadcdacccbdbcdccabbcadaabaadccbbadaacdccbbbdbcbcacd
+ababadcabdaccdaaabcddadd
+adcacaccadbbbbbadacacadcbcaaaccdbbccbbacdbbacbcdaaddacdaadaddbaccbadbc
+26 23
+ccbcabcacbbcacbbaccbcabacbcaaabacccbbcaabc
+bbbcabbacbbbacbcccaaccabccabcabcabbcbbaacbaaaaaa
+acabcaabcacbcccacbaccaaacabaccbacbcbbacbb
+baabacabacacbaaabcabbacbabbacbcbacb
+bbbccbabcacabbabcccacacacbbbcacccbbbbcccbaccbbbbcccbbbaacbabcacaaacabacbcbbbaccbccaaabcacacbbacbbaa
+aaccabaacbccabcabccbbaabaaccbcabaaabbcbbabbbcbbccbaabbacabbccbbcacabcabcaa
+ccabaacabbbcbbccbcbcabbabacbbcbcaabbaaaccbabaabcacbcbbbbbcabbcbccacaaaabacabccbababccbaacbabbaacbabcbcba
+baaacacacabbccaccababccabbacc
+accaaacaabacaccbbcccbbbabccaacccabaabaaccca
+bcbaabbbaacabcabbcbccaaacbbacccaaccccacbabb
+cabccaabbacbcbcbabaaababcbccccacabcbcacabbcacccabccbbabbaacbcaccabcbcbcba
+bbbcbaabbacbccacccbbcaacabaaabccacacaabbacbbbcbbccbcbaacaacbaabacbaabcacabbabcabaaaccb
+bcccabbabccbccccbccaabbc
+baccccbacbabcabacabbcbcabb
+baabaabbbbbcbaaacaaacbacaacccaabaabacbcc
+bacbcbaaabcbbbbbcccaaabbbcba
+abccbacacacaaabcbbbcbacaacccccaccacabb
+cccaaacabccabcbcbabbcbaaccabbbbccbccaaaccbbabaa
+cbbbcabaacbaaaacccbabbbabccaacacbcabaabccaaaabacaaabbcbbacbababbc
+ccaaabbbabaacbbccbcaccccaca
+accacbcbabcbaac
+bcbcbababaacbaabcaabaabccaabcbcacbbccaaabbbcaacaaabccaccbaccbccaacaaacacacccabb
+caccaabbaacbaabbbbbbbbbcccacaabbacbacaccaabcbccbcacbabaaaaabcbaaacaccccaba
+caccacaaabcacbaaacaabbbabccbbacbaccabacbcbcbaabccbcbbbababaabbabbb
+aabccbcaccbcbacbcccbcaccbacacbaaaaabbbbbabcacbcacbbbabac
+bbaccacbbcababbbbcbabbcbcaaacaccbbbaacccbacacaccabcbbabbaccaacccacc
+285 125
+dcdcccdadbacbccbaadbbbbcdcabcbdadaaaadccddabacd
+caabbdccbcbbcbbccacaddaccbaabbdaacabbaccbccacdabcbdddddbdccdcbbadccccadacdaacc
+dbbddbbccdbbbccddbdbbdcdaacdbabccdabacaabcdcccccbacbaabcbabbdcabadcdcadcbcbaabcdacadadaadaa
+ddddbacbaaddaaacdcadccabcdbcadcacbabbbdaddabcddadddcaacdccccdddbaabcbcabbcabbbbdaddcaacbaccddb
+dccbacbddaacacccd
+abadbccbadbccababdbbddabcdbccadacca
+cbbcdadddadaabcdcaacabccdaccbdcbdabbd
+cbcbaadddbbcbddccababbbdabdbaaddcbbcaccdbdadddbbbaaadddbbdabdaca
+abccacbbbdbdbbbbcbbcacdcbadcaaacacabaabbbccddbbdaacbdacbcccbbcdddcaddadaaaacdcbcbcbaadb
+babacdaacdcacaadbdcbccdaaddbdcabdacbdbabc
+abcdabaaaadbbcabdcbdbaa
+cbbdbddddabdabdddbdbdadbbddadddbacccdbbacbcacdaccacbbccbdabcacaadadc
+aaacddbabacdcadcbbdacdcbdbaacbcdccbcccdabbadc
+bbdbcbcadddcddbdbdcaccbdcaabadbacababaaadbddbdcbbacbcacdbddcacdccbaabbdbadbdc
+dbcacbcabbabcbdacdcdbbcdadbdcaabaccbadaacdaacbcdabccbcbacdabcbdbbaacbabadcabcdbcdadbdca
+bacbddccdbbcdaabcdddbadddbbccbcadcdd
+caabcdaabcccbdcccdacdddbcacbdddacc
+aacacacdbaccbcbbbdbbd
+accdcbcbabbddbaadaccadccaddcbbadba
+adccccadadcddacaaccdadddaaabddcabbaaccabdacdbcdaadcbcabdcccacdacaabacabcbdcddcccb
+cdaabcadccccdbbdcbdbbcbddac
+babadbacdaaccaabdabddcdcdddbacaacbcaddabdabacbddbcaddcacddacaabaad
+addaaccacccaaaaddbddabbadddabbd
+abcbdcabccbbcbbcdcdbcbdccabacbaacdcccaaabababadd
+dddbdcccacbabccbadbbadaacbcacdcbbbdbbdacacaaadbdbcdcabccbcdca
+aadcddcadddd
+adadcadccaabdcbbdbccbcdbdaaddabdcbdccbccbaaabbbbdabccbcaacaaab
+bacdabcacbdabaadcdacdaabbddacdbcacbdcaabdbabddccdbaacbddbabb
+dcccaacbbdcbbabcdbdaccdbcaddcdbaaadbbbddabacdcadccdcbaaacdbabadcadcaccbaacbaaadbcbaac
+adcccabacadaadabdabbdccacadcbacbbccaadacaadbcdbcabc
+bcbdadcdbcdabcddcbcdacbcdbbbc
+bbcabcabbcdcdcabbbacabac
+cacbaddcbcddacccabdcacdbdbbabbaababcdccdadcdcbcdbad
+abdcdcaabacdcddbabbccdbbbcacadcaaaadbacdadacaacacccbddabbccaddbccdcaca
+ddabccddabacccbdbcbbbcbbdcaaabbacaccdcbdcdabcbacbbaadacadabdbbdbdabdbcadbccdbbabadbbbcbdbbdbbcaccadbcaadc
+dbdddcbaddaccbdadacacdb
+dabddccaaabacddbdcdbabadaddcacaadbbcbdacbaabacadcccab
+accdbbabddbcdadbabacdcccbcaadaaccbcdcaaddaccdccabcadbbddbdcbbdcdcba
+bbcbadcadca
+bbdddbaadbadddbccbdabbbc
+dcbbdbbdbaacdbccddcdbdaabddbbcdcacabbbababcccbcdcadcbccdcdaaadaccbbbcdcacdababacbdbaaabbcdcd
+dabbbddbaaddabadaccba
+aacacaaadabcaacbddbbcdadcbacbbb
+dddcdcacdaddaccaccdcdbcdadcbaabacabbacadbabdbcbbbdabddbacdaaccdacacababccdcbdbdccdaaadddcaccc
+abcadcdaaaabacbaaadcdcdccccdbdabdaccdaacdbdacaaabcaddbdbbccddadddcabadbddbadaacacbcbddbbabdbababb
+aacacbcbbdbbbccadccbdbbadacddadddbbdadcdadadaabcaabbaccdcabdcccbcd
+adddacadcdbddddcadacdddccdbcad
+dddadbdadcccbbaacadcaaadccddbadcadddcdaccdbcccbbdcaadaaabbcabaccbdacdbacadabdada
+aabaaadcdddcabbcbbaadaaabdcbddbaacbacbaddacddbbbabdbabcacad
+dadddccaddcabadcadadcbbddaacbcbcacaadbbccdddbacacccdcbcbdcbdbdbddcaaddbcbdacacbacbcc
+dccdcdcbdddcabacabbbbcacbdbcccccbccbcadccadacccabcccbabaabbcdbaadadbdabddabbdaabbacdbbdccbbddabadccabcccd
+dbcaccacddbaacccbbbabadccbcababdd
+dcbaadabdabaacbbdcdbcdcacaccdd
+cdacbadbabbaadaaacccabbcdbddbbabacbaccbacacbbbdcbbcdaccaabdbdcccaa
+daadaccdcdaccadadcddcdccabbccdcdbaabcbccaaabdbdcbcaccabbaadaabbabcaccbacbaaaaaddbcadaadbbcacbcbaddd
+dbaccdabadacbcbddcabacbbadccdcbcbbcabadbbdbabddbddacaadcbba
+dcbcabbdcdbbbaabbcacaacdbdacabcccdbcdcbbbdaabacabdbb
+cccccbcdbccabbbbdbdcbbabdcaabbbbabdaaaaacaababbcabbcbcdcdcccdbbdbcdcdbaabccbddd
+cdcbacaccaacaacbabcabbaacac
+cccccacdbacbdcacdccadbabbdcdbacadabdbdaccaadaa
+cbcdddcbddbcbdccbaabdbddccaacaddccbbabaabbabdaaaaddcddabcbcaacacccdcdbaddacc
+ddabcbbcabcddbbabadbdacc
+dddbcabdcacbcddbcadaadcbcbbbddbacacabacdacdaccaaabbadacbbbdbcddbdabcbdbbdcb
+babadcdcbbdbabbdabdbacbacbccbcadaadcbdbdbbcdadadadbadbbdcddcacabdcdddbdbdbccaadddcddbbdbcacccdcabacaabdaabb
+bddbdbdcbbcadaabcdabdaccadadaacdadadbcbbcbbababddbbbdcdabdaddbbca
+ddbcadadabbacdcddacbddcdddcdbbcacccbbdccdbaddadbacbdcbddacdadccaaacddcdcdccddaccaaa
+adbbbaaddbbbdbaddacdbdaaccadcbabccddcaddddbdbdbadcabddaaddbdbdbcbddabcccbabccabbdadcdaaadac
+dcacccbcabadabdaabdbdbabadadababcddaacdabdcaaddacadacbdacabbabcbcabadcbbacbbadbcdbcdcbbaaa
+bdbbaddbdccdacbdaaacbddbd
+addacbaabababdcdbcba
+cbdcbadbbccabbdddabdacbbcaadabbbaa
+abaadbacabacadddccdddabdadbcbcddcddaabaaaadabbbbdcabcbaaccabdaacdcabbdacdbbccadaaaabadbccccddada
+babcddabbdccbdccddacadbdabbcbcdacbaabbcaaaaadaadddcabdbdbdbddbd
+bccdcadcacabcdacbdcbaaadbbcaadaacd
+ccbdbadbaddcabcdcbaadcddadbbcbaabddabcdbbbdbdccbcabbbacbddaacbbabbbaaccb
+acacbdaccccccad
+accdddbdcadaacadccaabdaddbbbdcbccbcbacadcaaabccaccbbcda
+cdbcdaddddcacacabcbdaadbabbbcdcddcdcccbaabddacdcbddddbaadccaccacccdcdadbaddddabbacdbdabccac
+bcddabcdacadabcbcbcaaaaabdcdbddbdaaadadcdcbdccabcabdcbaacccbabbcaacdd
+aaacaabddcdcabbaaadacaacbdaaaaaaaadbbcdaacdcdaddbdabbbabacdbcd
+bcbabcbadbcdadacddbbaaababbccdccbdbccbccc
+addccadacbdcbdcdcdccbdadcacbcdbaaccbbacabacdadabcdabdcabbb
+aabdbaaadccaccdacdabbcdbccccadbcdcbcbbcabbbddccbbaadbcdaadbadcdbaacac
+bdbbdccdcbcacbc
+abbccbacaaacdaddacacdbcbbdbbbacaaadcdcbbadacdcabaadcbbabdbbbabbcdcabdcbcbbdbcbbbaddccbcdcadcdbc
+cbbdabcbcabddcbabbdabbaccbbbcbacccddcbabbdaadcdcadbdadddcddcdadbacbabcd
+cbbdabbbbcbbbacacddbdbcbbcdbddbcdccbcbdbbccadcdccbbbbadccacddadacadcadddcaacddbacdabdbcbdccbdabaaab
+cabcdbabaccd
+dbbddcbcaacbbbcaaccab
+abbbdbbbbabada
+dcbdaabaababccbbadbacabdbbcccbcbccadacbbddccdcdabdbcaccdbcacabababbabccaaacbcbcbbbbbcbcbdbdcaccbbadd
+ccddcdadcdbccccacdbbbccaadcbabbbdbbdbdbacdccaaabbacbbbcaaa
+bddbbccdccdddbbabacbcbdabaaaddabcbdccdbdccaadbcadccdcbacacdddabbdabdbababaacdabbdbdbdccb
+cddccddcbbdadadacbddcbcdbddccdcbdaddacbacdbadabcbdbcadcdddcbbabbbbcbb
+ccacdbdbdbdabaabcbaccbdbdbdcabcbaaacdbdadcbcadbdbbcddbdabccaddcbbaccdcacdbacbacaabdccccbbdcbcdadac
+cccbdcadccdbabadacdcdbaddaddbcdadac
+bdaddcbdacccabbbaccaacbbbccbabadbddb
+aadbadacdadaaadbdbdcbdbabaaabdbbbbaaaabbaabcbccabacbaadbccbbdadcdcccdbadbbddbcacbcacaaadbcc
+dbaacdccacbabadacadbcbbccbbbcddbd
+dddbabcbcccabddcabdcbacdcbaaddbccbcbbbaddbddaababddaadadcbdbdbbaccdbcabac
+abcddcadbadcaccacddcbcaccdccbdbabbaacbcdbcbacbdccadccadadacabcdddcabcabacdaadcccdaaccaccdcbdcdadacbbdba
+dbcabddcacdbdbacdacabbbdbdaad
+caaadacddaadabbabbdcdbacbdddddddadbbbddddcdcbaacbbbad
+baddabacbdccbca
+dddbdcbababdcdabdbacaadcababcddadcdcbdcdcdcdbbbcdbbdcababcacdadbccbbdbababbbaa
+dddaadbaccccbddbcaaacaca
+dadacbcabadd
+dbaabababdccdccdadabcdaaaddacbcacddabcdabdddcddbdbcdacbaccdbddacaadabdadbaccc
+cabbdcabdababbccacabbacabdbbdcaaaaadcdcdddcdcbadbaccddcabcbbbaacddddbadcbcdbcbcaaa
+bccbbdbabdcdaacbccddbbcbcacacccbddcdbcdbcababdad
+abbdddddabbabaaacabaaaddbcdcbbcdcdcabbbaabcacbbbbbbbbadadcdcbdacabcadd
+cdcdccbbaccdccacadaccdcddacacbcbbddaaadcaadaccccdbdbdadbbbaabbbabadaacabccbcd
+ddaabaacbdcccccdacabbcdbabcbdcadcacdaadccaacaaddabababbcdaaacdbddccaacadddcaccadcdadcaadbdaacab
+bbaacabadbdcddc
+bcbabaacddabcdbdbbaacdcacddbcdcbdbcdddaacdaadccdaccacddadaadcadaaccbcbbadddaadacdcaccacccababcbcadbaaac
+cadacccddadbcdabaaabbacbccbdccadabdbacdc
+acbcbbacdbadbaabcbdabcaddccbbabadaabacbabacccca
+abdbbbdccdbbbcdcbaacbabcdabbacddcdacaddadccaaadcbcadcadcbcbbaacbabadbcccddbc
+acacddaabdddcbaddbdbbddaddaaccb
+cbbbbcdcbbbbbaddadacacbdcaddcdbbbdbcbdbbbdbcbaadbcccdcabcacadababdabcaddadadacbacaccacdbbbdcbbbdbcdd
+ccaabacbcdcabacddbbaadbcadbbdbdbcbcccaabdbbdd
+cdcbbacccba
+bacdacabdba
+ccbaccbbdddbaddcacbbcabbccacdaabadcccaddbcadaabcacaacdcbdcbbbbbaabcbddacbdbdaddcbdbbdaddaabdcd
+cdadddbccddbabbddabaaccbcdbcdcacbdaaacb
+dbaacdbbddccbcbdaadcbdbdabadccdbcdbbdccdcaaadabdddcddddbbabaabcbbcdbbdcdaaabaddbcdcadbbdabbaacaa
+acddcbabcbaadbbbdaadbdcbdbadcdcccccaabbbbdbdcaabadcabdcaadada
+dddcdcaaacddaccdac
+cbccadcbaddabdbbbcbcbbbcbc
+dddbdcaadacddcbbcbdabacddabdcabcadcdbacaadbabadabdcdacddac
+dbacddcddabbacccaaaaddbccddbacdddabbcbccaddbdddc
+acaabdbadadabdcdcaaaabaddbcadbbaddcccbabdccbdcdcccbdcbcdbbddcbbbababcbdaabcbcdcbaadaaacaccccaddcacbbca
+bddcbccdcdbcdbbadbaaddcbcaaaacdacdba
+dcbbadcddabbbcddcaaabcacdbdddcbcadbbbbdbadbdaabddabcccddcbcdcbdacc
+cabaccabbadaad
+ddacdadbbacddaaabccbddbbbdcaddcbaadddcdddddbcddadbdcbcbdddaabacccaccdababbacbcaddcccbbdba
+cdcbbadbbbcadadadcbdacbdbbdababddcaadababdbddacbaacdaddbdddbcacbbccbddacbbaadcabbb
+dbcdbbacaaaabccacacaccbcdbbcbcdaaccbcbddbabdcadabacbaddbcdbdacdddbcadbccdabdabcaacdaaddd
+caacdbdbbdacabaddcddbbdaaaccdaadbdabccaaccbddacaccddcbadaccadcdadacabacdaddccccaaaacaa
+adccadaccbabdaadccccdaabbddbabbbbdcaddacaaadadbadababdaaddadbdcdadabbddcccacaabbddcadcabadaaaaaaacabcacbaccd
+dbcbaaacbbbabbcdcdaaaacadaddaabdddbbaaaacbbcaadaababbdaacddabacdabbdaddaca
+dcbaabcddcccdaabdddbcbdbbccadbcabbddcbcbdbbbcabdbcacdcabccccdddbbdbacc
+babdbdcadcbcbbccabaacccc
+aaccdbdbacadddcdcaadaadadacabddcdcaaddcabdcddddadbbaadbcbaabaaaadaddddbcdbdbdacaccaabaccaadbaaddccaaacadcbad
+cbacddbaaddcbcdaacacbcddadcdcacdbcdbabcbccdbddcdcdbbbdbddbccddcdcadbbddddacaddc
+dccabbbbbaccdaaaadcbbdaddcdad
+cacdcdcabcacaaaaaadbbbadccdcbabdbccbacacabbddaadacaccbdcbdaacdbdbabbcacacdcaccbbadaccbbadbabcddaabbbaaadbab
+acbaadcbdcbcdacabddabdbcbbabdcbbcddbdcdabcaacccbccbbcccbabdbdacdcccdbcdbbdaccdaaaacdcb
+cccbcacbbcbdccbddbcdabdcbddcbdddabbbcadbccaaabbdaabdcba
+bccabaaaddacdadbcddbbdbbaaacbbbccadbcbacccbadccdbdbcaadcadadddaaabbbacbaadcdcacdbccbbdbcbdccadd
+abdcddcadbadbbddbacbcacacdabaddbbaddbcbcddcaaacbddbdacddcacabacbadbdccbbddbacbdcacbbaacccaacacd
+adbbdbcdbabcdbdbdaaaabcbbddddcbcdbac
+ddbacacbbdadaabcabdcabcaccabcaddaadbabcbdcdd
+acaccddadbabbdbdcaabdcbdaaddbabbcbabcbabdaacbbdaccbddbccbaccacaccabdcdbadbbadcbccd
+aaddbcdcacdbbcbcccadbadcbabbaacabdbdaadcdacccbddbcbcbdcbcacccbcddccaabadbcabacaccaccabdacacdbcc
+bddccbbbcdcbbbbaaadaddcddbabbacaccadbabccdb
+acacbcdbacbcbbdcdcaccdbdbccbdabdbcdacdadaccacacccddcacadcabcbabccbc
+adcbcdbddbaaaccabcbdddcbabdadaadbaaaacdbbbbbbcbcadbaacccacaabbcaacaacacdccadb
+daabbcbbadbb
+cbbbacaabdccbad
+adbcdbbbabcddbddccddaadadbabcacabbabcccabdcadbadbaab
+cacbcaabcbdcbaadaccaccccdbcbbcddcdcccaddcaddcadaadbaddcbdaadacaaacaacccdcacbbccdc
+adacbdbddccabcdaddcdcabcaaccbbdcabbbdcabbddccddcadbbbccdcdaabaacbadcadcdacaccaadaaaabcbaaac
+ddaacdacdacdbdacacdaddcaadccacbbacadcca
+acccdbdbccdaabadcbccbbcaabbaabcbdccbbdbbacd
+ddddddaabccbbbabbbcadbbdbaccaaababacabcbcaccbdbdbdbbbbcdbbbdaadbddabdacbbbbdbcdcbddbaadadcaadbaa
+cdbcaadcbbdacdacddbbacadaaaaabcabacabadaddcbbcabdddbccdcdcbcabcabbabdcbdcaddabbcbccdbaccabaaaccdbbadabbdccacb
+cddddaadbadcbcbbbbbcbcbcbcacadcdddacacbcaddcaaabbbbdabbacababadbacbababacdcaaaddccadcdadaabbabbcdbcdadd
+cbcdaaaacdbddabcbadacdcbacbcbddbdcbaadbaddaccdadcadacbcdacbbbaabbbacbcdcddacabcaaddbdcbdddcbddd
+bcbacdbcbacdbabccabcdadcadabcbbcccbdcdcccccdcacddbdbcdbaccbcbbbbcabbdadaadcbbbabcddabdbbbccdddacacd
+dcabbcadbbcbbdbdacdbcabcbabcdabbccbbcaadddddddcbabddabbabcbacacac
+ccbcccbbabdaacbbadbbdacacdbcbccdcacbddadcdccddaadcccddccdbaaabbacbabbabacddccdcdca
+ccadddbddadbadcdaadabdcaabdcdbdbaddaabccbcbcaabdbd
+caaaacdadbcdddacaadbaaddcbbcabdacaccccdcaacbb
+addbdccaadacbaddbaaccccababdcbbddcbddcacbbcdcdddcbaadcabbdbdadb
+aadacccbacdbaaaddcaadddaabcdddabcccccdbdcdaadcdcaaaa
+cbbabdcbaabaddbabcccccbddadbddaccdababdddbcadcbacdbaaccbcbbbbbbd
+bbaadaddcbbbbbdadddbacccdcccaddcdaccccaccccbddbcddccbdbbdadaacaabcbdcbbacbadabdcaccddabbbaadbbcabcab
+abcdcabbcdabccadcddbbdaadacdaddddddcbdccc
+baaabdccaaaddabddacbbabaddbadacdaccbdbdaa
+cccbcacbbabaadadccdadddaccaabbaccbccaabdbdaaaddddababdddbdabbdcacddccacccdcbdcdbcddadabbcbcbcaaa
+bcaaaaabbddcddaddbadaabbdbbbcdbcddbbacdbbbdbcabcacabcabdbdaddacabcdbbacacdaccbcbcababbccdcacbaaaa
+bacbdabddadaabbadbbcbdccbccacaacbcbababbdabbaacabc
+acaabcdbdcdadbcaccbacddacbabbcccddacbccddbcadbbccaaadcabddccdbbbcadbabbddccbdbbbc
+ddbcaddbbdbaabcbddd
+cbaddcdaabbbdcbadcaaaddadaaaadcbbb
+cdbcaaabaccddaababbaacabdcdcddcadcbcacadbdabd
+bbbcabcdbbdcdcbddccbbbcdcc
+dacbabcbaabcaddbabdccaadcacaacadcbcbbcdbbabacdbcadcbbbdbd
+ccaddabbbbaa
+dacaadbdbdbcbdcddbcaccbdaccddbdadacbcabbdbdabdacccdbbbadbddacabcbdcabccaddcaaabacdb
+abcadadddaddbaacdcdabcbbcccdbcdbdcaaccbcabcdddcdabcacbdadbcdcddbbacdcaadb
+bdcbcbaacdbdbccbcbdcbacdabcccbcbaaccbdbbaadbaddaadcbbdaadbaacdbb
+cacadbbcccacadaaaabcdcaaddabdcacaaacddaaddbadacaabbdabd
+aabcaabbbbdbaabcdbdcddadacdbacadbcaabbbcdbabcdabcbbcdabdcccbaddaacdddbad
+ddaababbbbcc
+bcadcdcabaccbacaaabccdccbccdcdbabbbdbdcbabddbaccccaababadbcbabadbabdcb
+abdbbcccdccaccbbabdcddba
+ccccaadbbcdbcdaabbdbdbddcc
+cdcddbabcbdbcaacacabcadbccabccbdccdcaabaadcacbbcdcdacaaadbbddbbadabbbdcdc
+aaadaadcccbaddadbabbbddbbccababdcdaccbdbbbadcbbbbddabcaadd
+ddbaadabdcbdccbbdbdcaaaabcccabdbdbcdbdddadcababdccbcaddcdaccbcbadcdaccccdbdca
+cdddcccaabaacacacacddcbdaddbbdddcccccaabdbdaacccbbcbbccc
+ddcbdacbdacaadacabaaccabaccbcddcdbcabaddadbbcbcbadbbcacddbdbbacccdbdcabcacacbabbaddcaaacbccaaccab
+cacacacdcaddbadadbdabcadbbccabdbdddbdbcdbdbbcbcbcdaadcdcdcbaaaabddaabcbacccbcdabddacdbabbbdabdccadacbdbcadcab
+bdacadbcbabaacbacddcacaabbbaddcadbc
+dccbacaabbbbbbaabcddacdbbbdcdddbbbabaaabbbcdcbbbbbacbdabbdd
+bccddabbbbddbdccbabcdcccddbbcddadcdbbdbdcdaaccbbaacdbdabbcbacabbccaccbbddbcdcccadadcdddbbccbcac
+adabbdcdbcacbdcaaacacaddcddbaaacbccadcbbccabccaacadcbcbbcaaccbabbacacbcaaadbadbd
+acdcacabadbbadbacdacdcbcadadbadaadaabddccdcacadbddbacc
+caccccddcbacacdacdd
+ddadcdacbcdbbbcbbcdacaabddadaddbdbddcdbbacdbbcb
+cbbabcbacdbdccbacdaccbcdcacb
+bbbbbacadaadacddacaddabcdddbdabcdcccccbcdcbdbbcdccbdbacadadbccdbdcabbaabaacaacddbddccaddddbcacbbddbaacbcddab
+ccabdbcbaddaddcdadbdbcadacbadbdba
+aacdaabbabadcbdbddccdaaadcbbccbaabbadbccabcacaacadacbbbdcdaaacccc
+bbabbcddbcddbdbacdbdbd
+bdbcadadabdbaadaabaaacaacdacdacadbaaadbaabdbca
+bdddadaadcaacacdadaaacbbacbbaadaabacaacdbaccadababacbdaccabbcbbcdbcdcccac
+abcdbdabaaccacdbbabaaccabcbdacabcddbacdabcdcdcadbccadabcbcaadabddbadacbabbddbdabaaddbdd
+dcbbaddbbaddacdbdcbcbbabddbcadaaaabdccc
+cdacaadacad
+ccccacadaaaaddabbcbbccddacdabaabddbccacdbc
+bdaccbdcccadbbaccadcdaaababbddabccccccdbdcbcddccdccdadcddcbdadddbabaaccddbc
+adbaabccab
+cdcaddadaaacdbabbcdaddcabcbbacbaadaabaacbc
+daddadbdaccbacbdbdadababdabdbaddabadacbbccbabbcdccddadbcdababccadddaababcddbcdcabcbcbaaddbcbcdadcdca
+adbbdaaaddbcadadcadbbcabddcaddcabbdccbacaaabcdbbcabbbddabacbcacac
+dacdbcaddaddbacaadccadbaacccdcdaabccaaabacbbabbbabb
+baaaaaabcdadddaaaccaab
+cbbcdbabaaaaddcaaddbaccadbbaadabcaddaddaddcdacbcadddcdcbcdcdaddbdbabbcabacabddbdbccdbadbdbabcaaabccdbaa
+bdbadcdcaccbcacbcdabdbcbbdbadcaacbdbaaadccbcabdabababacacdbdbcabdcddabdadaddcdcbbc
+bbbadcbcacddddbbbcacbdaccdccad
+acdddbdcbddbcbcabccaccabbdddbaacbbdbdccacbcacaadcccabbddabccbbaadddbddbacabaaccbbcacaaca
+addbabadbdbabcbbdacddaaaaacdbc
+dcaabbbdaaadadd
+adddbbcbdbabcdabdacddbadbdcabadcc
+ababddbbabcacabc
+aacaabcacbaadcccddabdddcdbbbcbaddbaabbb
+baccbaaacacdada
+acabbaadddadcdbccccbcbddcbcabbcabccddcaaccadcbdddadbba
+ddcbccaabccaaaaabbdacacbbbcdacaadbcdcbcaaadaabbcbadbaadaaccacc
+cdaaddbbdbaacacbcccaaacbdacbbbaaadbadbcbabdccbdbcaaccacbcbcaabdadaaacccadcdcacbadcbddacbaddcaabcadacdddcbdba
+aacacaccddadbccdaababbdacddaaddcadbcabbabaddbacdbbddbdaccbbddcddbbaddaaddbcdcacbbacbddbdcaaccbbadabababd
+adbbddcdbaabbbbbcbabbacabdaaccddbaccdcabaccbbbcaccaababdababacbaddddaadcddb
+badcdabccadadbcabdbcaddcbdaccaacdcdbbbbdadacbcbabbacacdbbaccabadbddbacaaccaabacddddddcdaccaba
+bbaccbbadcdacdcad
+daddadadbcbdddaacbaabaddbdaabac
+ddcddacddbbcddbbcdcabbcbcdaddabaccaaaaabddbabdaacda
+bcbacaaaddbcaddbdbadbdcabbaccaccccccdcbdbbcaacabadbcdbbacccdadddcddabdbcbccccbbdbccacacdac
+addcbddacddbbccdaccdbcdbcdacaccccbddccbdcbddcaddadbcbbbdbbbdbdaaadbbcbcbac
+ccabacaadbdcacbbccdc
+abbbcabadcababadcdcd
+adcababcdbcd
+cbdccabaccadc
+bdcbaadaabcdacbccacbbaddcdbdbcadccbbddcdcdabdabdabacdabacacacbbbdadbadaabcbadbaadbaadaacaccbbbdacabcadd
+adabccdacc
+ddbccdadbadcabdaddbadbabbdcacadabccaccaddddacbdaadbaabcabccdcbabcbbdaacadcdccbbadbbdbcabcbcadabdaadbccdacaacd
+dacbbcddaaabdcbccbadbcdbaaabdabaccbbdbbcbdccddacabcdcd
+cdcbacddcbbdcbcbccddcadddddddbaabadcbbabbbcddcdacadccaacadd
+dababcccddbdccbccabbbddcdadaddaadddcaddbabbdbcdbdbaacbbabd
+bdbccaddbdadaddccbab
+addbddcacadddbdbabdcaccbdcbdddcbdaab
+aabbaaccbdbabbaccbddadabddacddbdacdcacaddaddbcaccbcadaabaddccccddbccaccadaaccda
+bcacdaaccdccaacbcaddbabddccacdbdccbbbdacadbbcbcbbbccaddaadccbbcbddbbac
+dababbdbcaaccdcacbbadacbccdbcdcdbadaadcbacabdaddddbbdbcacbaaadadbaddacabadddcdaccbddacccdcdacddcbccbaa
+bcbcbbaddbbcaccdbadada
+dbdddbcbdbbacbbbdbaacaabcabdddbacacbcddaacabbbddabaaddbddccaabaadcddadbdaababdbbcdbbaadaadaccd
+adbdcabacbbbadabdadbaaaacdbadabcccddbaccbbbcdabddbadcddccadacbda
+dddcaababbadcbcdcacbabcddcbdcabbddbdcadbccabbbcacbbaabacbddcadaabccabdbbdbccbdddccdbbd
+bbcbbdddbbaddc
+cdcaacaacccbdaabddddcdbddddbdadaccbaaadbccaaabd
+adbcdddbbcbcdabadddab
+dabacaadcdddccaacdbdcdaadadbaacddaddad
+aabbccbbdbdbbcdadcaaacccbaabaababcbcdbcbaaabcaaabcddbdbadaadbaaaaccbcbbadcdccddaabcdbcdd
+aabaaababdbcdbcbaacdbadadcbabdaaccabdaaddbabaabddcccbb
+bacdcadcbdddc
+dcdabaacdaaabccccbcadcdabbcdccccaacbacabdbbca
+cadcbabcccaccba
+bbccbccdaadadcddccbdbccacddbbdadcaabbdcccddccdcdacdccbbcbabcdcdaacda
+adadccbcddcbabdabddcacbda
+aacddbbcbdadcaacdbdaadaaadcaacbacbdacdadacdbaaaaaddcbccddcabacbabaaaddbccbddbcbaabddaadabdddabbabdbdcbd
+ddbcabbaacacbaddbbdd
+daaaccdaacadaabadbdbbcdbacadbcadcbbdcbbaadadddcbcdcdbccddbdccb
+caabaadbbcbacdaddacddcdbbbdccadc
+14 5
+cadcdccccaabcadcbaacbcabbdcbbddcbbcdabbacccbdb
+bcbbbabdddbdddcabddbabdbabbcadbddcb
+ccdcbddcdcbacacaddcdcbaabc
+dccadbaccdcbcdbaadaaaadddbbdabbbcdacddcabbbbbaddd
+aadcadcbbbdabdbbccabdccbcdadbdcbddbadbacdbcccdccbdadbdbddbddcbddaacbadcdaadbdbcda
+acbdaacacacbbbabdcdcdacabac
+dbacdcbddadadadcaddcdbdbcbcbcddadbcbdabadadbcbbddbcbbaacbbcddccaabcdcdcbcdacbdddbacbadddd
+abcbbdadbaddaaddcb
+acccaadcabdcbdcabbdbbcacbaababdcdbcdbbdbabdabacdcbcaa
+bbacacadbdabcbdaacdccdddaabddcdbadcddcbbacadbabbccacaabadaadbbbdbbc
+bddbdcabbdbccbdaccabcadabbabbbccdadcacbadcdbcaccdacdaabdacadbdacadddbcacbddcdbddaaccbdaadbcaabcc
+bbbbbcdacccdcbaccbdbcdbcdbbdddaadaaddbaadadcdccddcaadcbdabcddacbbdadbabcaabbadacdaccabbbdbabbcda
+dcbcbbbdcbcabcddbdcbcbabcbdbbbbccdccadababaaccddbdbdacdbccbbbccdccdcadbcddbbbbaadcabbcdbadadcdaadbbcabcbc
+cccbdbbdabbcaaabccadccacaddbdbdddacbb
+75 2
+ccbbccacbccbcccbbbcbbabbaccbbbacccacbbacabcaabaacabab
+baabbaabccccaabbbaaacbcaaccaaaaabacca
+cababcbcaababacabcbbccbabaccababbccbbcabbcacbaaaababcbc
+baccacbcabbbbabcbabaccabaaaccacbccabbaabbbacabbaaacacbcbbbbcaabbbacbbbaacbac
+abccacbbcbaaacbbabbcccbacaababcabccabaabccbabacacacaaaba
+cbbcbacaababbaabcbbbabc
+aaacaabcaabaccccabacabbcaaaaaaabcacacbcbcbbaccbbcaaacbcabccacaccaccacccbaabababbaca
+aabaacbabccabacbacbaaccbbabacababbccacaacbbabcbabb
+abbccbbccbbbbabccccabcaccabbacccbbcbccbcaabbcbacabbaccbaccaacaabccccab
+babaabcbcbccbccbbcababccabaababccac
+bbcbcbbbbbccccaaabbbcaaaacabbcbcbbaccacccba
+bbcabbbacbbabaababbbbabacbbbbaacbacbbbcbaacbbbcbcbabbcccbcccbacabcbabcaccbcab
+cbbaaabbbacccbacbcacabcbacccbaaaabbcccacaccaaabcccbccabbacbbca
+abcbcaaaacbacacaaabcaabbbacaccbaccaabcbaaaacaacaaccaaccabccbcccbb
+bbbccbbbcbcabacbabacaacbcbcbcabaaacbbacaccbcccbcbbcaaccacaababcabccbbcabbbaaabbaaaabacbbbccaccc
+baaccabaaccccbcaac
+abacacaabbaaccbacbbbabacbaabaacaaaccbcacbabbcbaabaacbcccbcbbb
+baaabcbabaaccabaabbbccaccabccacccbac
+bbbccacbccbcabcacbbbbabbcbcbbcbabbbabccccaccacaabccacbcbbccabcacabbcbaabcbccabbcbcbcacabbacccbbbbccaacabab
+babbcacacaacaacacaaacabccaababbaaccacacbabbacaabcc
+bcbccbbbccc
+aabcbaaaaacccbcabcbbcbcbbcbabaccccbaaabcaacabcabbccbcaacaaaaaababbcbcbbcb
+bbaabcbababbcccbccaaccbaccaccbcabcccacbbbbab
+acabcacccbccbbbbababcccbbccccccccb
+aaaaacbcbbabbabaabbaaaacbbbbcaabacaacccaaabaabcababaacaababacacbbbbaaa
+abccbaacaaabcbcbcacacbcabbacbbaaacccbcaacacabcaccbbcabccbccccaccbbbabbabaacabccbaaacabbacbccccbb
+bbcaccbccbcaab
+cbcbbabbcaccabcacbbbbccaabbccbaaacbbaaabaccbbbbbbccaabbabcbabacbac
+acccaabbaacccccbcbbcb
+aabcbabcacabacbcacbcbcaccabbbbabaccabacbcacbcacababbbaaacbaabacbbccabcabbccbcaaabcccaa
+bcbcaccaaccccbccccaaacccbaaacacaacbcbbbbabcabbcbabaabccccbccbbbbcbabaccaccbcbabcacbbccaaccabcbb
+caaabacbabbbababaacababcccbbbbaacbcbbabcaccc
+acbccababbcbbbccabcaacabacacbcbaacbbacbbba
+acaccaaabaccbaccccccbabcccabcbacabacccacbbbcbbabcccaabaccbacccbbaccabbbbabacacca
+bbabcaaccccabccbcccaccacbccacbbabbbabbcabccbcacbcbab
+babcccaaabbbbccccbababaabbcbcbbab
+cbabbcbbcbcacabbcbaaabacaaacaabccbb
+ccaccaaccbbabcbccabcbcaacabbccbcabacabbbbabbacaa
+cbbbacacbbcbaccacbbbccabccacbabbbccbbbbabbbccccbcacbaaaaaabbbabbbabbaaabbbbcbaacbbcaacabcac
+bbcbbbabcaacaaccbccccabaaccbbcc
+bcccbababacaabcccaaacabbbacbabaabcaacccabcaaababccabbaaaccaabacbbbbcbcc
+bbcababcabbcacbbcabbcbcb
+aacabbccccaaaaccabccbaacaabaccccbbccaaccaacbabaabbaccaababacbccaaccaccaabacbcacaabaacc
+acccccbcbcbbccabccababcaabaccababaacbcbbcccbcaaaaababccabbbabacaabccbbcab
+accabbaacbccbbbababcaabbabacbbabccabaacbacaba
+aabcabcaacbcacbccc
+ccccbaaabbcbabaccababababacabbabaaccacbbbaabbbbaaabbbccaaaabccaabcccbcbaabbbabbcbaaabcba
+ccaccabaaaccabbaccccbccccccbccabccabaaaccbbcabacccbbabaccbcbccccccbbcbcccabccaccabcaabcbab
+caaccacababcacbcbcbacacacbacaabaaa
+aabcbbbccbcbacbcaabbccaaaabcbabcbbbbabcacbcbaccbbacaccacbacbbbabaabbbbcaacacabcbccaaabccbabcccaababbccacbc
+bbbbaabaabcccccbcbbabcbaccccbacbbcacacbabbcacccbacccbbcbacbccaacbbbcbcbccbbcbacacccbbbab
+aabbbacaabbcacabacccccaaccaaababaaabbacbcabccccbbccbbaccbbbcccabcaacaaababbbccbcabaabcccbaa
+bcbcbbbbccabcacabaccaabcbccbbca
+acabccbaaccbaccaccaccccbcacaabacbabacbabccab
+abccbacbcaaabbbcacacbaabbbacb
+bbbccbbaacbbabacabcbcacbacbcbcccbbaaabbbbbbabcbbbbacac
+babcacccccbacbcabaaaabbbccbacbbbbccacbcbbcbabccbcaabbcbbcbcabbcacaccccbcbaabcabab
+bbcbcabbcbccaccababccaabaacbcbabcba
+babbabcccacccacbbacabcbaabaaacaabbbba
+acaccbbcabacabbccbacaacccbbcaabccba
+cbaabaccabbccccaabcabbcbccabbbaabcabccbacaabbbbcacaabcbbbab
+acacababacbbcaabbbabcacacaaaaccccabbaabbbcabccabacbabacaabbcb
+bcacaaababccacbbaababbabbcabbcb
+cababbcaacbaaacbcbbabbcbbaccacaaaccbcbbaccaaabbacbabbabc
+acbbabbbaabbbbaaabbbcbccaa
+abbacabbccbcbbbababbcacccabbbbbcabbcbabbacababbaacabccbacbabaccaaaacccccabcccaacbbacbbbbbbcbabcacccacb
+cccaacabca
+abaabbbcbcbaabacabcbcaabccacbaaacaaaaababacbcbbccacbbbbabbbaababccb
+aaabbbccbbbcab
+caccbacaaccaaabccaacabcbbbcbbacabbaabbbbcabcabcbcaaabaabbbbabcbbaabbbccbccbacaaacaabbacccac
+cabcbaacaabccbcaabcabbbabcaacbccccacbbbccacbcacaacabababbacabccacababcabaaccbacccabcabccabaccbbccbbcaaabcccc
+cbccbbbbcbcbbbbaccbbccacaacaacaccbbcaccaaaabcababcbacabcbaccacabaabccbaa
+aacbaaaaccbacccbaabcbaccbabbcbaabaaaccaaaabbbcbbaabbcbbbaccbbaabcabcbbcbababbbabababbcbabbcccbabcb
+abbccbaccbbbbcacaccccabaccccbaacacbbacacbccbbacaa
+bccbabbaacabbacabbaacccccaacbaccabcbcbbcbcccbbabacbbcccc